{"id": "v3_val_00000000", "prompt": "Compute: 93 - (-90) * (-73)", "solution_steps": ["Multiply: -90 * (-73) = 6570", "Subtract: 93 - 6570 = -6477"], "final_answer": "-6477", "answer_type": "integer", "kind": "expression", "math_text": "93 - (-90) * (-73)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -90, \"c\": -73}", "seed": "11151817259245232693", "semantic_fingerprint": "sha256:a7c59ac33b904013994ef89bcabb68028cf2ddaafe9388df2652f93468c39f1d", "generator_version": "3.0"}
{"id": "v3_val_00000001", "prompt": "Evaluate: -6 - (108 + (-95))", "solution_steps": ["Add: 108 + (-95) = 13", "Subtract: -6 - 13 = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (108 + (-95))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 108, \"c\": -95}", "seed": "502046708071172230", "semantic_fingerprint": "sha256:3e7b0f5f6754020d18e23954b655ba86e083d2dd0c6c7b49e8b42a2345b2a051", "generator_version": "3.0"}
{"id": "v3_val_00000002", "prompt": "Compute: -29 + 61 - (-260)", "solution_steps": ["Add: -29 + 61 = 32", "Subtract: 32 - (-260) = 292"], "final_answer": "292", "answer_type": "integer", "kind": "expression", "math_text": "-29 + 61 - (-260)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 61, \"c\": -260}", "seed": "12531911735837569474", "semantic_fingerprint": "sha256:b86ed7a0fb2fb99ece466d3b5792dcadbb7c722b8edf6507e045168e818d1c15", "generator_version": "3.0"}
{"id": "v3_val_00000003", "prompt": "Solve the equation 9(x + 53) - 894 = 2(x - 9) - 525 for x.", "solution_steps": ["Expand: 9x + 477 - 894 = 2(x - 9) - 525", "Expand: 9x + 477 - 894 = 2x - 18 - 525", "Combine constants: 9x - 417 = 2x - 18 - 525", "Combine constants: 9x - 417 = 2x - 543", "Subtract 2x from both sides: 7x - 417 = -543", "Add 417 to both sides: 7x = -126", "Divide both sides by 7: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 53) - 894 = 2(x - 9) - 525", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 53, \"c\": 894, \"d\": 2, \"e\": 9, \"g\": -525, \"x\": -18}", "seed": "6781905108508683373", "semantic_fingerprint": "sha256:d68a7b78d4014f0fe8958edf7eb5426caf559d1b713730407c8754de3813554c", "generator_version": "3.0"}
{"id": "v3_val_00000004", "prompt": "What is (132 + (-6)) / 15?", "solution_steps": ["Add: 132 + (-6) = 126", "Divide: 126 / 15 = 42/5"], "final_answer": "42/5", "answer_type": "rational", "kind": "expression", "math_text": "(132 + (-6)) / 15", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 132, \"b\": -6, \"c\": 15}", "seed": "10371028929195053676", "semantic_fingerprint": "sha256:4e46bdd640c7edf51d40b17932075a3ff6721d5568029f0654426f527e46e869", "generator_version": "3.0"}
{"id": "v3_val_00000005", "prompt": "What is -637 * 71 + (-6 / 8 + (-39)) * 321?", "solution_steps": ["Multiply: -637 * 71 = -45227", "Divide: -6 / 8 = -3/4", "Add: -3/4 + (-39) = -159/4", "Multiply: (-159/4) * 321 = -51039/4", "Add: -45227 + (-51039/4) = -231947/4"], "final_answer": "-231947/4", "answer_type": "rational", "kind": "expression", "math_text": "-637 * 71 + (-6 / 8 + (-39)) * 321", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (+ (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -637, \"b\": 71, \"c\": -6, \"d\": 8, \"e\": -39, \"f\": 321}", "seed": "5078300614311104372", "semantic_fingerprint": "sha256:a39c07e764015374566fecdb1f26659f54ecde67108170f4117628ddf7d2c320", "generator_version": "3.0"}
{"id": "v3_val_00000006", "prompt": "What is -7 / (-7 + (-548 - 220 - (-19)))?", "solution_steps": ["Subtract: -548 - 220 = -768", "Subtract: -768 - (-19) = -749", "Add: -7 + (-749) = -756", "Divide: -7 / (-756) = 1/108"], "final_answer": "1/108", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-7 + (-548 - 220 - (-19)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (- (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -7, \"c\": -548, \"d\": 220, \"e\": -19}", "seed": "11653348623337179643", "semantic_fingerprint": "sha256:9ab7d9f19aaafcf9079e7c84ad58122388833f0485a364d05abfb8f0842d1a58", "generator_version": "3.0"}
{"id": "v3_val_00000007", "prompt": "Solve the equation 9(x + 440) = 7(x - 467) for x.", "solution_steps": ["Expand: 9x + 3960 = 7(x - 467)", "Expand: 9x + 3960 = 7x - 3269", "Subtract 7x from both sides: 2x + 3960 = -3269", "Subtract 3960 from both sides: 2x = -7229", "Divide both sides by 2: x = -7229/2"], "final_answer": "-7229/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 440) = 7(x - 467)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 440, \"c\": 7, \"d\": 467}", "seed": "573536894993367400", "semantic_fingerprint": "sha256:97f0eab71bbdd12dd951d82b0bddb54616e77af61e165147904c3b63b73538bd", "generator_version": "3.0"}
{"id": "v3_val_00000008", "prompt": "Compute: 351 - (-8) + (-4) / 57 - 83 * 2", "solution_steps": ["Subtract: 351 - (-8) = 359", "Divide: -4 / 57 = -4/57", "Add: 359 + (-4/57) = 20459/57", "Multiply: 83 * 2 = 166", "Subtract: 20459/57 - 166 = 10997/57"], "final_answer": "10997/57", "answer_type": "rational", "kind": "expression", "math_text": "351 - (-8) + (-4) / 57 - 83 * 2", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) (/ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 351, \"b\": -8, \"c\": -4, \"d\": 57, \"e\": 83, \"f\": 2}", "seed": "2219361918880900071", "semantic_fingerprint": "sha256:d4264c0ca34ae5da5b77d6de769b29fe8b8d9c9e906d2e59d4f92ce3df42619f", "generator_version": "3.0"}
{"id": "v3_val_00000009", "prompt": "Solve the equation 9(x - 42) + 360 = x for x.", "solution_steps": ["Expand: 9x - 378 + 360 = x", "Combine constants: 9x - 18 = x", "Subtract x from both sides: 8x - 18 = 0", "Add 18 to both sides: 8x = 18", "Divide both sides by 8: x = 9/4"], "final_answer": "9/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 42) + 360 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 42, \"c\": 360}", "seed": "9466668498990724346", "semantic_fingerprint": "sha256:21408cb8d155dc31e285b92da48360961b66ac17114043734ba18f3470f3ef53", "generator_version": "3.0"}
{"id": "v3_val_00000010", "prompt": "Calculate: 320 * (-99) - 547 - (-748)", "solution_steps": ["Multiply: 320 * (-99) = -31680", "Subtract: -31680 - 547 = -32227", "Subtract: -32227 - (-748) = -31479"], "final_answer": "-31479", "answer_type": "integer", "kind": "expression", "math_text": "320 * (-99) - 547 - (-748)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 320, \"b\": -99, \"c\": 547, \"d\": -748}", "seed": "7878344789363711900", "semantic_fingerprint": "sha256:99c5303cce85f91a74859b1282bfb9b29101e6ffaf77a856c9e4d94df4a621cd", "generator_version": "3.0"}
{"id": "v3_val_00000011", "prompt": "Compute: 1 * (-9 - 945 - (-5) / (-1) + 97)", "solution_steps": ["Subtract: -9 - 945 = -954", "Divide: -5 / (-1) = 5", "Subtract: -954 - 5 = -959", "Add: -959 + 97 = -862", "Multiply: 1 * (-862) = -862"], "final_answer": "-862", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-9 - 945 - (-5) / (-1) + 97)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- (- n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -9, \"c\": 945, \"d\": -5, \"e\": -1, \"f\": 97}", "seed": "11183194434209513420", "semantic_fingerprint": "sha256:646ac4376d9effc5b08d76823c82c66b91092f4ad3a29f6c08ccc99a8e4fa5ef", "generator_version": "3.0"}
{"id": "v3_val_00000012", "prompt": "Evaluate: -54 * (-750 - (-8))", "solution_steps": ["Subtract: -750 - (-8) = -742", "Multiply: -54 * (-742) = 40068"], "final_answer": "40068", "answer_type": "integer", "kind": "expression", "math_text": "-54 * (-750 - (-8))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -750, \"c\": -8}", "seed": "13675459030962623985", "semantic_fingerprint": "sha256:0eb88b84422713305eaa57653d38947bd7ea06746daf1d040cabaa9107229b97", "generator_version": "3.0"}
{"id": "v3_val_00000013", "prompt": "Calculate: 914 / (28 * 65) + 9", "solution_steps": ["Multiply: 28 * 65 = 1820", "Divide: 914 / 1820 = 457/910", "Add: 457/910 + 9 = 8647/910"], "final_answer": "8647/910", "answer_type": "rational", "kind": "expression", "math_text": "914 / (28 * 65) + 9", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 914, \"b\": 28, \"c\": 65, \"d\": 9}", "seed": "17891353502332158439", "semantic_fingerprint": "sha256:d5ed84060122540de6080fe7b2648310cf2a27dede7261c930f07902f410386d", "generator_version": "3.0"}
{"id": "v3_val_00000014", "prompt": "What is 7 - (-74) - 0 / 964?", "solution_steps": ["Subtract: 7 - (-74) = 81", "Divide: 0 / 964 = 0", "Subtract: 81 - 0 = 81"], "final_answer": "81", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-74) - 0 / 964", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -74, \"c\": 0, \"d\": 964}", "seed": "11099989865078526559", "semantic_fingerprint": "sha256:771414f214cb230132d652851e897ec77272fd03c68889f28330ef1773bb8c70", "generator_version": "3.0"}
{"id": "v3_val_00000015", "prompt": "Compute: 788 + 7 / (-15) - (-7) - 963", "solution_steps": ["Divide: 7 / (-15) = -7/15", "Add: 788 + (-7/15) = 11813/15", "Subtract: 11813/15 - (-7) = 11918/15", "Subtract: 11918/15 - 963 = -2527/15"], "final_answer": "-2527/15", "answer_type": "rational", "kind": "expression", "math_text": "788 + 7 / (-15) - (-7) - 963", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 788, \"b\": 7, \"c\": -15, \"d\": -7, \"e\": 963}", "seed": "8168730471364460070", "semantic_fingerprint": "sha256:53e108f13e731528f4731605a174d1e41e6e54f1bf3b284cdea96bf9dbfc7811", "generator_version": "3.0"}
{"id": "v3_val_00000016", "prompt": "Calculate: 29 / (3 + 721)", "solution_steps": ["Add: 3 + 721 = 724", "Divide: 29 / 724 = 29/724"], "final_answer": "29/724", "answer_type": "rational", "kind": "expression", "math_text": "29 / (3 + 721)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 3, \"c\": 721}", "seed": "3832140762567995733", "semantic_fingerprint": "sha256:027fde4b54fef279846b0aad26c0b13a23bf37186f3169021108ae1aeec19a83", "generator_version": "3.0"}
{"id": "v3_val_00000017", "prompt": "What is (91 + (-8 - (76 - (-2)))) / (-156 * (-7))?", "solution_steps": ["Subtract: 76 - (-2) = 78", "Subtract: -8 - 78 = -86", "Add: 91 + (-86) = 5", "Multiply: -156 * (-7) = 1092", "Divide: 5 / 1092 = 5/1092"], "final_answer": "5/1092", "answer_type": "rational", "kind": "expression", "math_text": "(91 + (-8 - (76 - (-2)))) / (-156 * (-7))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -8, \"c\": 76, \"d\": -2, \"e\": -156, \"f\": -7}", "seed": "1154376287311733244", "semantic_fingerprint": "sha256:d89e6f42bec090d64d6a9d93fd249ec8be38e04391e69d0a5b95de84dc5b735f", "generator_version": "3.0"}
{"id": "v3_val_00000018", "prompt": "Evaluate: 62 - (57 + 631)", "solution_steps": ["Add: 57 + 631 = 688", "Subtract: 62 - 688 = -626"], "final_answer": "-626", "answer_type": "integer", "kind": "expression", "math_text": "62 - (57 + 631)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 57, \"c\": 631}", "seed": "13599715228391808483", "semantic_fingerprint": "sha256:621b84e804e27e301d9fddf2caf5d39be5dd6eeb66372376a1222bb345bbd771", "generator_version": "3.0"}
{"id": "v3_val_00000019", "prompt": "What value of x satisfies -2(x + 29) = x - 10?", "solution_steps": ["Expand: -2x - 58 = x - 10", "Subtract x from both sides: -3x - 58 = -10", "Add 58 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 + 29) = x - 10", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 29, \"d\": -10, \"x\": -16}", "seed": "4477862227829566644", "semantic_fingerprint": "sha256:6ab6e98b4ff8f4710b98ac83e0dc03ec349269711d3c7f2f755906f4bf7ffbb1", "generator_version": "3.0"}
{"id": "v3_val_00000020", "prompt": "What value of x satisfies 4x - 112 = 12x?", "solution_steps": ["Subtract 12x from both sides: -8x - 112 = 0", "Add 112 to both sides: -8x = 112", "Divide both sides by -8: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 112 = 12x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 12, \"d\": -112, \"x\": -14}", "seed": "11939370945392365155", "semantic_fingerprint": "sha256:4a15f44badc2c4b6c652d4ef3a47f28b1c1d7a398e981eff81d3a3f439b18e42", "generator_version": "3.0"}
{"id": "v3_val_00000021", "prompt": "What value of x satisfies 8x + 5 = x - 9?", "solution_steps": ["Subtract x from both sides: 7x + 5 = -9", "Subtract 5 from both sides: 7x = -14", "Divide both sides by 7: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 5 = x - 9", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"d\": -9, \"x\": -2}", "seed": "2366510153303870949", "semantic_fingerprint": "sha256:94a5a47cc3474d02f254d3fdc58db314eb4a75c3b84b3b9fd400c4887aaa6cab", "generator_version": "3.0"}
{"id": "v3_val_00000022", "prompt": "What value of x satisfies 10(x + 3) + 86 = 2x + 987?", "solution_steps": ["Expand: 10x + 30 + 86 = 2x + 987", "Combine constants: 10x + 116 = 2x + 987", "Subtract 2x from both sides: 8x + 116 = 987", "Subtract 116 from both sides: 8x = 871", "Divide both sides by 8: x = 871/8"], "final_answer": "871/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 3) + 86 = 2x + 987", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 86, \"d\": 2, \"e\": 987}", "seed": "17718188757436356963", "semantic_fingerprint": "sha256:131979a068d00f5992f2ae47fe3323d9dfbef5c10491b7cb0af5b3d9e90cc954", "generator_version": "3.0"}
{"id": "v3_val_00000023", "prompt": "Calculate: -721 * 37 - (954 - 32)", "solution_steps": ["Multiply: -721 * 37 = -26677", "Subtract: 954 - 32 = 922", "Subtract: -26677 - 922 = -27599"], "final_answer": "-27599", "answer_type": "integer", "kind": "expression", "math_text": "-721 * 37 - (954 - 32)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -721, \"b\": 37, \"c\": 954, \"d\": 32}", "seed": "13525303165058327157", "semantic_fingerprint": "sha256:90ff76b32d2a5a1d7e0912a041b12cba43f222c227519ae37a7108e18cd22ec4", "generator_version": "3.0"}
{"id": "v3_val_00000024", "prompt": "Calculate: (660 + 8) * (-62)", "solution_steps": ["Add: 660 + 8 = 668", "Multiply: 668 * (-62) = -41416"], "final_answer": "-41416", "answer_type": "integer", "kind": "expression", "math_text": "(660 + 8) * (-62)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 660, \"b\": 8, \"c\": -62}", "seed": "16904742989795990970", "semantic_fingerprint": "sha256:0ea8b02460e959fdc7d1f0685f61f4123b39feddfb122369d887426e21df73f2", "generator_version": "3.0"}
{"id": "v3_val_00000025", "prompt": "Solve the equation x = 4(x - 7) - 58 for x.", "solution_steps": ["Expand: x = 4x - 28 - 58", "Combine constants: x = 4x - 86", "Subtract 4x from both sides: -3x = -86", "Divide both sides by -3: x = 86/3"], "final_answer": "86/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 4(x - 7) - 58", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 58}", "seed": "13637285490470136610", "semantic_fingerprint": "sha256:5e203c4324832d98c21885dd883dd0e31fba94fe84f62cbbb27e799965ee3213", "generator_version": "3.0"}
{"id": "v3_val_00000026", "prompt": "Evaluate: 2 / 5 / (-6)", "solution_steps": ["Divide: 2 / 5 = 2/5", "Divide: (2/5) / (-6) = -1/15"], "final_answer": "-1/15", "answer_type": "rational", "kind": "expression", "math_text": "2 / 5 / (-6)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": -6}", "seed": "1016574424405352417", "semantic_fingerprint": "sha256:c41c8533b22acc7eb80f331d5209518f1fe4582fe1e2464847280414e37da3dc", "generator_version": "3.0"}
{"id": "v3_val_00000027", "prompt": "Find x: x + 487 = 12(x + 23) + 299", "solution_steps": ["Expand: x + 487 = 12x + 276 + 299", "Combine constants: x + 487 = 12x + 575", "Subtract 12x from both sides: -11x + 487 = 575", "Subtract 487 from both sides: -11x = 88", "Divide both sides by -11: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 487 = 12(x + 23) + 299", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 487, \"b\": 12, \"c\": 23, \"e\": 299, \"x\": -8}", "seed": "7246220415693374017", "semantic_fingerprint": "sha256:15a9ca0fdec9e8ec8743edf97e01b17ac9392a4a76da5e7c57fe0a1f412b7c78", "generator_version": "3.0"}
{"id": "v3_val_00000028", "prompt": "Evaluate: 0 * (-392) + 6", "solution_steps": ["Multiply: 0 * (-392) = 0", "Add: 0 + 6 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-392) + 6", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -392, \"c\": 6}", "seed": "12144517566867614309", "semantic_fingerprint": "sha256:afbbadfa011411a92c93e9dde6b391714497dc70664727a27e51125407326512", "generator_version": "3.0"}
{"id": "v3_val_00000029", "prompt": "Solve for x: x - 89 = 7(x + 28) - 393", "solution_steps": ["Expand: x - 89 = 7x + 196 - 393", "Combine constants: x - 89 = 7x - 197", "Subtract 7x from both sides: -6x - 89 = -197", "Add 89 to both sides: -6x = -108", "Divide both sides by -6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 89 = 7(x + 28) - 393", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 7, \"c\": 28, \"e\": -393, \"x\": 18}", "seed": "6106925069109160368", "semantic_fingerprint": "sha256:90a6ab8b3086e9f34f70e46314eb97d60d3486d0db16acb6dbb12380e328d34c", "generator_version": "3.0"}
{"id": "v3_val_00000030", "prompt": "Compute: -2 - (-7) + 71", "solution_steps": ["Subtract: -2 - (-7) = 5", "Add: 5 + 71 = 76"], "final_answer": "76", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-7) + 71", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -7, \"c\": 71}", "seed": "7902170853353810857", "semantic_fingerprint": "sha256:5652dae32a9d96c9bfa6392cb5ad518913ba03709e55e5e4d5ac0806ec33d50c", "generator_version": "3.0"}
{"id": "v3_val_00000031", "prompt": "Solve for x: x + 4 = 7(x - 5)", "solution_steps": ["Expand: x + 4 = 7x - 35", "Subtract 7x from both sides: -6x + 4 = -35", "Subtract 4 from both sides: -6x = -39", "Divide both sides by -6: x = 13/2"], "final_answer": "13/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4 = 7(x - 5)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 5}", "seed": "12644584709509543194", "semantic_fingerprint": "sha256:a3ecab2d2e32be426e4f5392dc3c6945d1dd2870c233b98210dfd0fa221706fd", "generator_version": "3.0"}
{"id": "v3_val_00000032", "prompt": "Compute: -55 - (-38) - 45 * 220", "solution_steps": ["Subtract: -55 - (-38) = -17", "Multiply: 45 * 220 = 9900", "Subtract: -17 - 9900 = -9917"], "final_answer": "-9917", "answer_type": "integer", "kind": "expression", "math_text": "-55 - (-38) - 45 * 220", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -38, \"c\": 45, \"d\": 220}", "seed": "2001883713347760686", "semantic_fingerprint": "sha256:107bf69ea514327ff126350d7e1c31e95c75bdafe98b103696b0f89328079b3e", "generator_version": "3.0"}
{"id": "v3_val_00000033", "prompt": "Calculate: 489 - 3 + (-38 + (-546))", "solution_steps": ["Subtract: 489 - 3 = 486", "Add: -38 + (-546) = -584", "Add: 486 + (-584) = -98"], "final_answer": "-98", "answer_type": "integer", "kind": "expression", "math_text": "489 - 3 + (-38 + (-546))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 489, \"b\": 3, \"c\": -38, \"d\": -546}", "seed": "14397623979815170161", "semantic_fingerprint": "sha256:2891171599c38165e4b9c7e82a97802a50e7241c684bf4566c91425b7e5c94c5", "generator_version": "3.0"}
{"id": "v3_val_00000034", "prompt": "Find x: 2(x + 98) + 17 = 4x + 245", "solution_steps": ["Expand: 2x + 196 + 17 = 4x + 245", "Combine constants: 2x + 213 = 4x + 245", "Subtract 4x from both sides: -2x + 213 = 245", "Subtract 213 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 + 98) + 17 = 4x + 245", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 98, \"c\": 17, \"d\": 4, \"f\": 245, \"x\": -16}", "seed": "3657066481328007336", "semantic_fingerprint": "sha256:e90c9f50fa80c40a44e6f65de3d44f1a34a05abfa49169029b3d7038eb935ba9", "generator_version": "3.0"}
{"id": "v3_val_00000035", "prompt": "Solve the equation 2(x - 9) = 5(x + 80) + 55 for x.", "solution_steps": ["Expand: 2x - 18 = 5(x + 80) + 55", "Expand: 2x - 18 = 5x + 400 + 55", "Combine constants: 2x - 18 = 5x + 455", "Subtract 5x from both sides: -3x - 18 = 455", "Add 18 to both sides: -3x = 473", "Divide both sides by -3: x = -473/3"], "final_answer": "-473/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 9) = 5(x + 80) + 55", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 5, \"d\": 80, \"e\": 55}", "seed": "4679033371419239391", "semantic_fingerprint": "sha256:4870555475309ae22a29d60a08f15bc0e8f124ad6d2f7be0f997b408425e2a9f", "generator_version": "3.0"}
{"id": "v3_val_00000036", "prompt": "Find x: x = 9x - 50", "solution_steps": ["Subtract 9x from both sides: -8x = -50", "Divide both sides by -8: x = 25/4"], "final_answer": "25/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 9x - 50", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 50}", "seed": "4185725738787141288", "semantic_fingerprint": "sha256:db854e26622585fef0877afa71d81c706945d1975621b4ea7521ae4ecd5015bb", "generator_version": "3.0"}
{"id": "v3_val_00000037", "prompt": "What is -8 / (-6)?", "solution_steps": ["Divide: -8 / (-6) = 4/3"], "final_answer": "4/3", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-6)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -6}", "seed": "15214321260536168350", "semantic_fingerprint": "sha256:89224908083159ed4a2a82397d60a439978a8c2f81ad8218c756a56f60dece38", "generator_version": "3.0"}
{"id": "v3_val_00000038", "prompt": "What value of x satisfies 7x - 258 = -11(x + 922)?", "solution_steps": ["Expand: 7x - 258 = -11x - 10142", "Add 11x to both sides: 18x - 258 = -10142", "Add 258 to both sides: 18x = -9884", "Divide both sides by 18: x = -4942/9"], "final_answer": "-4942/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 258 = -11(x + 922)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 258, \"c\": -11, \"d\": 922}", "seed": "10272921966484676797", "semantic_fingerprint": "sha256:386331f3d85402cfd3d9af6a34c73e4abba88fe98fa5128aafdb7c39219310e0", "generator_version": "3.0"}
{"id": "v3_val_00000039", "prompt": "Calculate: 0 / (-343)", "solution_steps": ["Divide: 0 / (-343) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-343)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -343}", "seed": "6431712559714503291", "semantic_fingerprint": "sha256:bcb93287739085b368a25275affd5778d4734fe5c0d4546ea627c5c8512d05bd", "generator_version": "3.0"}
{"id": "v3_val_00000040", "prompt": "What is 646 * (31 / (-97)) / 52?", "solution_steps": ["Divide: 31 / (-97) = -31/97", "Multiply: 646 * (-31/97) = -20026/97", "Divide: (-20026/97) / 52 = -10013/2522"], "final_answer": "-10013/2522", "answer_type": "rational", "kind": "expression", "math_text": "646 * (31 / (-97)) / 52", "variable": null, "family": "expression_3op", "shape": "(/ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 646, \"b\": 31, \"c\": -97, \"d\": 52}", "seed": "16384514390769777862", "semantic_fingerprint": "sha256:9628292dc331ec2f60e141cbcf9e6264b9a638bd7f42e2c8c4f06212a1a1de69", "generator_version": "3.0"}
{"id": "v3_val_00000041", "prompt": "Calculate: 2 / (-351)", "solution_steps": ["Divide: 2 / (-351) = -2/351"], "final_answer": "-2/351", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-351)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -351}", "seed": "11215172818722407822", "semantic_fingerprint": "sha256:68fb443a8f8c1f654d882c8ec463e7c31c43235bcaa053134557d7e98e19633e", "generator_version": "3.0"}
{"id": "v3_val_00000042", "prompt": "Compute: 563 * (8 + (-48) - 3)", "solution_steps": ["Add: 8 + (-48) = -40", "Subtract: -40 - 3 = -43", "Multiply: 563 * (-43) = -24209"], "final_answer": "-24209", "answer_type": "integer", "kind": "expression", "math_text": "563 * (8 + (-48) - 3)", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 563, \"b\": 8, \"c\": -48, \"d\": 3}", "seed": "9016389613578616598", "semantic_fingerprint": "sha256:8c317271eb5de0381fe51d3aa4097294c95cf747f2173110a92cf94b0f3d0ff0", "generator_version": "3.0"}
{"id": "v3_val_00000043", "prompt": "Solve the equation 8(x + 580) = -7x for x.", "solution_steps": ["Expand: 8x + 4640 = -7x", "Add 7x to both sides: 15x + 4640 = 0", "Subtract 4640 from both sides: 15x = -4640", "Divide both sides by 15: x = -928/3"], "final_answer": "-928/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 580) = -7x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 580, \"c\": -7}", "seed": "3974047282652152302", "semantic_fingerprint": "sha256:d4e91eaed61731bbe27b1291822b25134ab1fa863e9ffa073e6b80420cbdf116", "generator_version": "3.0"}
{"id": "v3_val_00000044", "prompt": "Compute: 21 - 6", "solution_steps": ["Subtract: 21 - 6 = 15"], "final_answer": "15", "answer_type": "integer", "kind": "expression", "math_text": "21 - 6", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 6}", "seed": "5024187487616936989", "semantic_fingerprint": "sha256:afd675b577d2f4901357e19df071854570f3720fa8380d7b62158d46cf67e477", "generator_version": "3.0"}
{"id": "v3_val_00000045", "prompt": "Calculate: -67 - (-960)", "solution_steps": ["Subtract: -67 - (-960) = 893"], "final_answer": "893", "answer_type": "integer", "kind": "expression", "math_text": "-67 - (-960)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -960}", "seed": "17031356175717651819", "semantic_fingerprint": "sha256:d87c906606992c6d3c41ae8a3ca3228a4d8fc833786d07e35a93e3418f287c84", "generator_version": "3.0"}
{"id": "v3_val_00000046", "prompt": "Find x: x - 160 = -9x", "solution_steps": ["Add 9x to both sides: 10x - 160 = 0", "Add 160 to both sides: 10x = 160", "Divide both sides by 10: x = 16"], "final_answer": "16", "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\": 16}", "seed": "12217679716907486260", "semantic_fingerprint": "sha256:68aa8a29cb54b4581fa534011f49d24d3186e01a4b0c5fb924092d39097efab8", "generator_version": "3.0"}
{"id": "v3_val_00000047", "prompt": "Compute: 82 / (505 / (-36) * (-8) + (-40))", "solution_steps": ["Divide: 505 / (-36) = -505/36", "Multiply: (-505/36) * (-8) = 1010/9", "Add: 1010/9 + (-40) = 650/9", "Divide: 82 / (650/9) = 369/325"], "final_answer": "369/325", "answer_type": "rational", "kind": "expression", "math_text": "82 / (505 / (-36) * (-8) + (-40))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (* (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 505, \"c\": -36, \"d\": -8, \"e\": -40}", "seed": "14535363018305364077", "semantic_fingerprint": "sha256:8364390dcffe710b19ed2cb6c08ade8c8dec6253c1eb8c3b97a399a0c863301c", "generator_version": "3.0"}
{"id": "v3_val_00000048", "prompt": "Calculate: (51 - 1) * (3 - 0 + 7)", "solution_steps": ["Subtract: 51 - 1 = 50", "Subtract: 3 - 0 = 3", "Add: 3 + 7 = 10", "Multiply: 50 * 10 = 500"], "final_answer": "500", "answer_type": "integer", "kind": "expression", "math_text": "(51 - 1) * (3 - 0 + 7)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 1, \"c\": 3, \"d\": 0, \"e\": 7}", "seed": "3880721595923304392", "semantic_fingerprint": "sha256:b1e5f8954b195c064a129f908e13975624f7eb1ca847b585f8c19cbc425b9714", "generator_version": "3.0"}
{"id": "v3_val_00000049", "prompt": "What value of x satisfies x - 785 = -5(x - 3) - 860?", "solution_steps": ["Expand: x - 785 = -5x + 15 - 860", "Combine constants: x - 785 = -5x - 845", "Add 5x to both sides: 6x - 785 = -845", "Add 785 to both sides: 6x = -60", "Divide both sides by 6: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 785 = -5(x - 3) - 860", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 785, \"b\": -5, \"c\": 3, \"e\": -860, \"x\": -10}", "seed": "16305810294688784846", "semantic_fingerprint": "sha256:c1e08df5f74f314400bbd18f56b5dd5abda0985773044b812657ed6121494c78", "generator_version": "3.0"}
{"id": "v3_val_00000050", "prompt": "Evaluate: (7 - (-55)) * (7 - 7 + 8 * 606)", "solution_steps": ["Subtract: 7 - (-55) = 62", "Subtract: 7 - 7 = 0", "Multiply: 8 * 606 = 4848", "Add: 0 + 4848 = 4848", "Multiply: 62 * 4848 = 300576"], "final_answer": "300576", "answer_type": "integer", "kind": "expression", "math_text": "(7 - (-55)) * (7 - 7 + 8 * 606)", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (+ (- n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -55, \"c\": 7, \"d\": 7, \"e\": 8, \"f\": 606}", "seed": "1882183339967535022", "semantic_fingerprint": "sha256:0941c1e49b126fa4a3fd82afbdd4eabde7ad1f13bf162ca2367e278c6badf1b3", "generator_version": "3.0"}
{"id": "v3_val_00000051", "prompt": "Solve for x: x - 33 = -12(x + 19) + 390", "solution_steps": ["Expand: x - 33 = -12x - 228 + 390", "Combine constants: x - 33 = -12x + 162", "Add 12x to both sides: 13x - 33 = 162", "Add 33 to both sides: 13x = 195", "Divide both sides by 13: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 33 = -12(x + 19) + 390", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": -12, \"c\": 19, \"e\": 390, \"x\": 15}", "seed": "10163217766444398694", "semantic_fingerprint": "sha256:df79b58dc9f26e92fb31ebd6b6ee831e1d62c7f4801b7a36a5bcd6a5db41f659", "generator_version": "3.0"}
{"id": "v3_val_00000052", "prompt": "Evaluate: -82 + (-55) * 4", "solution_steps": ["Multiply: -55 * 4 = -220", "Add: -82 + (-220) = -302"], "final_answer": "-302", "answer_type": "integer", "kind": "expression", "math_text": "-82 + (-55) * 4", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -55, \"c\": 4}", "seed": "11592822321148920172", "semantic_fingerprint": "sha256:f482e61834f2c005869b655945b95ec8d9dfc1f7acb061a5745b60c210705659", "generator_version": "3.0"}
{"id": "v3_val_00000053", "prompt": "Calculate: (41 - 2) * 920", "solution_steps": ["Subtract: 41 - 2 = 39", "Multiply: 39 * 920 = 35880"], "final_answer": "35880", "answer_type": "integer", "kind": "expression", "math_text": "(41 - 2) * 920", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 2, \"c\": 920}", "seed": "7205489554289371303", "semantic_fingerprint": "sha256:55c488261028bb7a25a60c89f03941443e8dc9bc2c8d3aedf1f62978ebb06242", "generator_version": "3.0"}
{"id": "v3_val_00000054", "prompt": "Calculate: 24 + 42 * (0 + (-8))", "solution_steps": ["Add: 0 + (-8) = -8", "Multiply: 42 * (-8) = -336", "Add: 24 + (-336) = -312"], "final_answer": "-312", "answer_type": "integer", "kind": "expression", "math_text": "24 + 42 * (0 + (-8))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 42, \"c\": 0, \"d\": -8}", "seed": "9607146436412108577", "semantic_fingerprint": "sha256:76af6b3b7309f96ef8b189fd9ee667674f9eca646cab1e876082982233295ae6", "generator_version": "3.0"}
{"id": "v3_val_00000055", "prompt": "Compute: -239 + 6 * (-17) - 683", "solution_steps": ["Multiply: 6 * (-17) = -102", "Add: -239 + (-102) = -341", "Subtract: -341 - 683 = -1024"], "final_answer": "-1024", "answer_type": "integer", "kind": "expression", "math_text": "-239 + 6 * (-17) - 683", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -239, \"b\": 6, \"c\": -17, \"d\": 683}", "seed": "11585647903357727942", "semantic_fingerprint": "sha256:e4d57648bdb81eaaa6e9ea44f44a4c549fd3ac8823990fe394b32f61d30f8168", "generator_version": "3.0"}
{"id": "v3_val_00000056", "prompt": "Calculate: -8 * (84 - 673 / 5) + 149 / 378", "solution_steps": ["Divide: 673 / 5 = 673/5", "Subtract: 84 - 673/5 = -253/5", "Multiply: -8 * (-253/5) = 2024/5", "Divide: 149 / 378 = 149/378", "Add: 2024/5 + 149/378 = 765817/1890"], "final_answer": "765817/1890", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (84 - 673 / 5) + 149 / 378", "variable": null, "family": "expression_5op", "shape": "(+ (* n (- n (/ n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 84, \"c\": 673, \"d\": 5, \"e\": 149, \"f\": 378}", "seed": "3156434757290820448", "semantic_fingerprint": "sha256:77d0947ca939d71d8db8417d16ddeee689e9a63d5814887a0c9604b773e300ea", "generator_version": "3.0"}
{"id": "v3_val_00000057", "prompt": "Calculate: 3 * 933", "solution_steps": ["Multiply: 3 * 933 = 2799"], "final_answer": "2799", "answer_type": "integer", "kind": "expression", "math_text": "3 * 933", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 933}", "seed": "12532038457468028577", "semantic_fingerprint": "sha256:8e56fc1b11dfdca4ca53fea7521e5ecf6cab53511e69466670f3c59a665e8c40", "generator_version": "3.0"}
{"id": "v3_val_00000058", "prompt": "Solve for x: -6(x - 809) = 8(x + 870) - 20", "solution_steps": ["Expand: -6x + 4854 = 8(x + 870) - 20", "Expand: -6x + 4854 = 8x + 6960 - 20", "Combine constants: -6x + 4854 = 8x + 6940", "Subtract 8x from both sides: -14x + 4854 = 6940", "Subtract 4854 from both sides: -14x = 2086", "Divide both sides by -14: x = -149"], "final_answer": "-149", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 809) = 8(x + 870) - 20", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 809, \"c\": 8, \"d\": 870, \"e\": 20}", "seed": "5116474253391124730", "semantic_fingerprint": "sha256:0824f50de9f0cb788411f048cd06a9bcbf86430fe489b7c0ef60961245352bd3", "generator_version": "3.0"}
{"id": "v3_val_00000059", "prompt": "Solve for x: x - 66 = -10x", "solution_steps": ["Add 10x to 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 = -10x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"c\": -66, \"x\": 6}", "seed": "15245171234127282640", "semantic_fingerprint": "sha256:663230a7f5cc81a7d0f80f7b64cf2820a4d1bf906bffe62e66138e8e9405887a", "generator_version": "3.0"}
{"id": "v3_val_00000060", "prompt": "Compute: (-408 - (-91)) / (-48)", "solution_steps": ["Subtract: -408 - (-91) = -317", "Divide: -317 / (-48) = 317/48"], "final_answer": "317/48", "answer_type": "rational", "kind": "expression", "math_text": "(-408 - (-91)) / (-48)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -408, \"b\": -91, \"c\": -48}", "seed": "18390067040856400227", "semantic_fingerprint": "sha256:6ea662a5d02abcc3def7a2c5874d5889554d43cfc06188ab55baad9221869e9d", "generator_version": "3.0"}
{"id": "v3_val_00000061", "prompt": "Solve for x: x = -10(x - 4) + 4", "solution_steps": ["Expand: x = -10x + 40 + 4", "Combine constants: x = -10x + 44", "Add 10x to both sides: 11x = 44", "Divide both sides by 11: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -10(x - 4) + 4", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"d\": 4, \"x\": 4}", "seed": "8183912418400635543", "semantic_fingerprint": "sha256:ad1c544f5fefbb17be3b966742d0ccbbcc50f666ec674ff22d10099dccc29593", "generator_version": "3.0"}
{"id": "v3_val_00000062", "prompt": "Find x: x + 662 = 8x + 564", "solution_steps": ["Subtract 8x from both sides: -7x + 662 = 564", "Subtract 662 from both sides: -7x = -98", "Divide both sides by -7: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 662 = 8x + 564", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 662, \"b\": 8, \"d\": 564, \"x\": 14}", "seed": "14750846297030011008", "semantic_fingerprint": "sha256:aab3d61876dac215b07607a273d26062d6350cad5e7054c54e6fc3e07978ccbf", "generator_version": "3.0"}
{"id": "v3_val_00000063", "prompt": "Evaluate: -67 * (333 * 39)", "solution_steps": ["Multiply: 333 * 39 = 12987", "Multiply: -67 * 12987 = -870129"], "final_answer": "-870129", "answer_type": "integer", "kind": "expression", "math_text": "-67 * (333 * 39)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 333, \"c\": 39}", "seed": "654638610960615951", "semantic_fingerprint": "sha256:7830ef31a94c040fa1855dbe82f3512cfb79a24438676995f5bffed917d13e13", "generator_version": "3.0"}
{"id": "v3_val_00000064", "prompt": "Compute: 446 / (-64)", "solution_steps": ["Divide: 446 / (-64) = -223/32"], "final_answer": "-223/32", "answer_type": "rational", "kind": "expression", "math_text": "446 / (-64)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 446, \"b\": -64}", "seed": "13814073379537588589", "semantic_fingerprint": "sha256:ed235e9215e6db6ec8049a58e5822fe992e8c4e9f90b5b5ed13eecbea2b3bc22", "generator_version": "3.0"}
{"id": "v3_val_00000065", "prompt": "What is -1 * (-82 / 41)?", "solution_steps": ["Divide: -82 / 41 = -2", "Multiply: -1 * (-2) = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-82 / 41)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -82, \"c\": 41}", "seed": "8481439613386517549", "semantic_fingerprint": "sha256:a1be119c80d2e74463eff6f0cfbd1ed466a39815e3b94694292f5879326dc652", "generator_version": "3.0"}
{"id": "v3_val_00000066", "prompt": "Solve the equation x + 209 = 12x for x.", "solution_steps": ["Subtract 12x from both sides: -11x + 209 = 0", "Subtract 209 from both sides: -11x = -209", "Divide both sides by -11: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 209 = 12x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": 209, \"x\": 19}", "seed": "9161919329610429837", "semantic_fingerprint": "sha256:f6b52b94a16cd74ccdd0d2fe849ad2c6c6af2adda577e1fc7459907accba75be", "generator_version": "3.0"}
{"id": "v3_val_00000067", "prompt": "Evaluate: (-7 - (-860)) / 71", "solution_steps": ["Subtract: -7 - (-860) = 853", "Divide: 853 / 71 = 853/71"], "final_answer": "853/71", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - (-860)) / 71", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -860, \"c\": 71}", "seed": "11647519345058716194", "semantic_fingerprint": "sha256:832547c62883d115ef57a9820fb3294016a442140ad6ed4cc0c4ee848346fa34", "generator_version": "3.0"}
{"id": "v3_val_00000068", "prompt": "Calculate: (-3 + (-35)) / 82 + (905 + (62 - (-2)))", "solution_steps": ["Add: -3 + (-35) = -38", "Divide: -38 / 82 = -19/41", "Subtract: 62 - (-2) = 64", "Add: 905 + 64 = 969", "Add: -19/41 + 969 = 39710/41"], "final_answer": "39710/41", "answer_type": "rational", "kind": "expression", "math_text": "(-3 + (-35)) / 82 + (905 + (62 - (-2)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -35, \"c\": 82, \"d\": 905, \"e\": 62, \"f\": -2}", "seed": "14860623075036737393", "semantic_fingerprint": "sha256:54cf9a5ecbdeb82d30bf0d4f3b68f4c7e7def4e517c727c4ace21c2429d68e92", "generator_version": "3.0"}
{"id": "v3_val_00000069", "prompt": "Solve for x: -3x = 4x + 140", "solution_steps": ["Subtract 4x from both sides: -7x = 140", "Divide both sides by -7: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = 4x + 140", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"d\": 140, \"x\": -20}", "seed": "10123242909259710916", "semantic_fingerprint": "sha256:3bd9a853cea5ef360061a97501438f2a213f9ad8f763837f4d0fa6d53c3272b0", "generator_version": "3.0"}
{"id": "v3_val_00000070", "prompt": "What is 57 - (-286 + 957)?", "solution_steps": ["Add: -286 + 957 = 671", "Subtract: 57 - 671 = -614"], "final_answer": "-614", "answer_type": "integer", "kind": "expression", "math_text": "57 - (-286 + 957)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -286, \"c\": 957}", "seed": "5614958798165999675", "semantic_fingerprint": "sha256:3f40dc6779a4e0b8ef0eb03c66beac6c353c34da8818853fa33b2117c53b58c0", "generator_version": "3.0"}
{"id": "v3_val_00000071", "prompt": "Solve for x: 10(x + 31) - 766 = 3x + 81", "solution_steps": ["Expand: 10x + 310 - 766 = 3x + 81", "Combine constants: 10x - 456 = 3x + 81", "Subtract 3x from both sides: 7x - 456 = 81", "Add 456 to both sides: 7x = 537", "Divide both sides by 7: x = 537/7"], "final_answer": "537/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 31) - 766 = 3x + 81", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 31, \"c\": 766, \"d\": 3, \"e\": 81}", "seed": "382006308746159438", "semantic_fingerprint": "sha256:772c96f69addc9d51b8ccf20341557335556a8a5cd083d9a0733de85379ba694", "generator_version": "3.0"}
{"id": "v3_val_00000072", "prompt": "Solve for x: x + 38 = -11x + 38", "solution_steps": ["Add 11x to both sides: 12x + 38 = 38", "Subtract 38 from both sides: 12x = 0", "Divide both sides by 12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 38 = -11x + 38", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -11, \"d\": 38, \"x\": 0}", "seed": "14902597368842083057", "semantic_fingerprint": "sha256:5005e02a4bed8db24363e5774b76ecfce432c63db0df8811bcdde80ff1c25fdf", "generator_version": "3.0"}
{"id": "v3_val_00000073", "prompt": "What is 5 / (210 - 954) / 9?", "solution_steps": ["Subtract: 210 - 954 = -744", "Divide: 5 / (-744) = -5/744", "Divide: (-5/744) / 9 = -5/6696"], "final_answer": "-5/6696", "answer_type": "rational", "kind": "expression", "math_text": "5 / (210 - 954) / 9", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 210, \"c\": 954, \"d\": 9}", "seed": "12870142268307598264", "semantic_fingerprint": "sha256:f26f819241f7fb92254d68b16b5951ee33d6bf5663d7c791fd1877c1c8d0e5d6", "generator_version": "3.0"}
{"id": "v3_val_00000074", "prompt": "Evaluate: 6 / (-9) - 389 / (1 + 49)", "solution_steps": ["Divide: 6 / (-9) = -2/3", "Add: 1 + 49 = 50", "Divide: 389 / 50 = 389/50", "Subtract: -2/3 - 389/50 = -1267/150"], "final_answer": "-1267/150", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-9) - 389 / (1 + 49)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -9, \"c\": 389, \"d\": 1, \"e\": 49}", "seed": "2311087242152056330", "semantic_fingerprint": "sha256:7993a06a5424fb5a5fc7d8eac91f1885edbb029c9a3aa6243c31169086351965", "generator_version": "3.0"}
{"id": "v3_val_00000075", "prompt": "Evaluate: -2 + (-450) / (-7) / (-64) + 4", "solution_steps": ["Divide: -450 / (-7) = 450/7", "Divide: (450/7) / (-64) = -225/224", "Add: -2 + (-225/224) = -673/224", "Add: -673/224 + 4 = 223/224"], "final_answer": "223/224", "answer_type": "rational", "kind": "expression", "math_text": "-2 + (-450) / (-7) / (-64) + 4", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -450, \"c\": -7, \"d\": -64, \"e\": 4}", "seed": "5699132059087575241", "semantic_fingerprint": "sha256:cd4cf459d904ad4cd7c3f1adf7351eef1f807b876565130b3777366c535c3701", "generator_version": "3.0"}
{"id": "v3_val_00000076", "prompt": "Evaluate: -90 / (-5 - 843)", "solution_steps": ["Subtract: -5 - 843 = -848", "Divide: -90 / (-848) = 45/424"], "final_answer": "45/424", "answer_type": "rational", "kind": "expression", "math_text": "-90 / (-5 - 843)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -5, \"c\": 843}", "seed": "14341113366976499971", "semantic_fingerprint": "sha256:6f9e0de2ce85e85f8590a4afaee96a5881720c113088817c338c4d2ad29a0bc4", "generator_version": "3.0"}
{"id": "v3_val_00000077", "prompt": "Solve the equation 10(x - 85) = -8x + 798 for x.", "solution_steps": ["Expand: 10x - 850 = -8x + 798", "Add 8x to both sides: 18x - 850 = 798", "Add 850 to both sides: 18x = 1648", "Divide both sides by 18: x = 824/9"], "final_answer": "824/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 85) = -8x + 798", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 85, \"c\": -8, \"d\": 798}", "seed": "11711231447028829411", "semantic_fingerprint": "sha256:fdcff445284aecf284888881d29ea53650d2cae05f2a14f72bda5b2905f551f5", "generator_version": "3.0"}
{"id": "v3_val_00000078", "prompt": "Find x: x - 7 = -7(x - 948) - 5", "solution_steps": ["Expand: x - 7 = -7x + 6636 - 5", "Combine constants: x - 7 = -7x + 6631", "Add 7x to both sides: 8x - 7 = 6631", "Add 7 to both sides: 8x = 6638", "Divide both sides by 8: x = 3319/4"], "final_answer": "3319/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7 = -7(x - 948) - 5", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -7, \"c\": 948, \"d\": 5}", "seed": "15183754463824495510", "semantic_fingerprint": "sha256:f05becdb80da805015625b1a339fcaed8261d5bd0916ea15dda8a89f5dbeec86", "generator_version": "3.0"}
{"id": "v3_val_00000079", "prompt": "Compute: 107 + (-6)", "solution_steps": ["Add: 107 + (-6) = 101"], "final_answer": "101", "answer_type": "integer", "kind": "expression", "math_text": "107 + (-6)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 107, \"b\": -6}", "seed": "3770994243410863522", "semantic_fingerprint": "sha256:75f59cf26377f368215e3b2553b5bc63576b181da3a869064534d1f3f8ef3cb7", "generator_version": "3.0"}
{"id": "v3_val_00000080", "prompt": "Evaluate: -8 / (-40)", "solution_steps": ["Divide: -8 / (-40) = 1/5"], "final_answer": "1/5", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-40)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -40}", "seed": "5817345851554979653", "semantic_fingerprint": "sha256:1a589e963e4632c5be809eb89a1b1cd6ddd2ed3c659bfbb3b8b8156f22cea250", "generator_version": "3.0"}
{"id": "v3_val_00000081", "prompt": "Calculate: -75 - 98 / 3", "solution_steps": ["Divide: 98 / 3 = 98/3", "Subtract: -75 - 98/3 = -323/3"], "final_answer": "-323/3", "answer_type": "rational", "kind": "expression", "math_text": "-75 - 98 / 3", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 98, \"c\": 3}", "seed": "9281899864615031461", "semantic_fingerprint": "sha256:8261dabcfe2fcfc7e5610bb45e54a290a64ca172901af568ff97f8349a6f72f3", "generator_version": "3.0"}
{"id": "v3_val_00000082", "prompt": "What is -55 / 1 * (15 * 92 * 5) + (-47)?", "solution_steps": ["Divide: -55 / 1 = -55", "Multiply: 15 * 92 = 1380", "Multiply: 1380 * 5 = 6900", "Multiply: -55 * 6900 = -379500", "Add: -379500 + (-47) = -379547"], "final_answer": "-379547", "answer_type": "integer", "kind": "expression", "math_text": "-55 / 1 * (15 * 92 * 5) + (-47)", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n n) (* (* n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 1, \"c\": 15, \"d\": 92, \"e\": 5, \"f\": -47}", "seed": "17830144751071168541", "semantic_fingerprint": "sha256:46043490214343269ff1c43652437b65d457e2e519b9428d35e4e5d684797407", "generator_version": "3.0"}
{"id": "v3_val_00000083", "prompt": "Calculate: -4 * (4 * (303 / (-1)))", "solution_steps": ["Divide: 303 / (-1) = -303", "Multiply: 4 * (-303) = -1212", "Multiply: -4 * (-1212) = 4848"], "final_answer": "4848", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (4 * (303 / (-1)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 303, \"d\": -1}", "seed": "9813325420802964280", "semantic_fingerprint": "sha256:499af6b8c2f3c6ddc555578b696b56993ebd46ccf3fd4e55b83ad1ff89c52b50", "generator_version": "3.0"}
{"id": "v3_val_00000084", "prompt": "Evaluate: -643 + 0 + (-23)", "solution_steps": ["Add: -643 + 0 = -643", "Add: -643 + (-23) = -666"], "final_answer": "-666", "answer_type": "integer", "kind": "expression", "math_text": "-643 + 0 + (-23)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -643, \"b\": 0, \"c\": -23}", "seed": "8710780999285321706", "semantic_fingerprint": "sha256:087f3c06d336a9c22d1d4f9648ddf35acdcc3544b5c6086cd7d1cd6bdc7c07a2", "generator_version": "3.0"}
{"id": "v3_val_00000085", "prompt": "Find x: -4(x + 2) = 11x - 278", "solution_steps": ["Expand: -4x - 8 = 11x - 278", "Subtract 11x from both sides: -15x - 8 = -278", "Add 8 to both sides: -15x = -270", "Divide both sides by -15: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 2) = 11x - 278", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2, \"c\": 11, \"e\": -278, \"x\": 18}", "seed": "8909143241548989161", "semantic_fingerprint": "sha256:7df503336b6a54656c47275db221b1033ddcc1ae5dcbe20c882ad3a163f6bf05", "generator_version": "3.0"}
{"id": "v3_val_00000086", "prompt": "Evaluate: 75 * 4 * (2 - (-5))", "solution_steps": ["Multiply: 75 * 4 = 300", "Subtract: 2 - (-5) = 7", "Multiply: 300 * 7 = 2100"], "final_answer": "2100", "answer_type": "integer", "kind": "expression", "math_text": "75 * 4 * (2 - (-5))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 4, \"c\": 2, \"d\": -5}", "seed": "11253207727681186514", "semantic_fingerprint": "sha256:1c10c4331a3ca815ef15419ef44764e6e6d256dba2b9e7d8b4956c2d32697dcd", "generator_version": "3.0"}
{"id": "v3_val_00000087", "prompt": "What value of x satisfies 10(x - 2) = 5(x - 62) + 255?", "solution_steps": ["Expand: 10x - 20 = 5(x - 62) + 255", "Expand: 10x - 20 = 5x - 310 + 255", "Combine constants: 10x - 20 = 5x - 55", "Subtract 5x from both sides: 5x - 20 = -55", "Add 20 to both sides: 5x = -35", "Divide both sides by 5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 2) = 5(x - 62) + 255", "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\": 5, \"d\": 62, \"f\": 255, \"x\": -7}", "seed": "8785181667503780964", "semantic_fingerprint": "sha256:e7e0aa2c593307542a436569f59195810d4f74d015bcc3ac7c72aace7037895c", "generator_version": "3.0"}
{"id": "v3_val_00000088", "prompt": "Find x: -10x - 1 = x + 6", "solution_steps": ["Subtract x from both sides: -11x - 1 = 6", "Add 1 to both sides: -11x = 7", "Divide both sides by -11: x = -7/11"], "final_answer": "-7/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x - 1 = x + 6", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1, \"c\": 6}", "seed": "4366017981510518409", "semantic_fingerprint": "sha256:df9d345ac2a078790dfaa197041b1bc44a3b406d192ce1c373406c1a0316a337", "generator_version": "3.0"}
{"id": "v3_val_00000089", "prompt": "What value of x satisfies -9x - 70 = -7(x - 6) + 567?", "solution_steps": ["Expand: -9x - 70 = -7x + 42 + 567", "Combine constants: -9x - 70 = -7x + 609", "Add 7x to both sides: -2x - 70 = 609", "Add 70 to both sides: -2x = 679", "Divide both sides by -2: x = -679/2"], "final_answer": "-679/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x - 70 = -7(x - 6) + 567", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 70, \"c\": -7, \"d\": 6, \"e\": 567}", "seed": "10305305739532985652", "semantic_fingerprint": "sha256:c7018fb7c7cafaf4948007fabba02b0293f2ec94d44c757eca1911a761fa7c9b", "generator_version": "3.0"}
{"id": "v3_val_00000090", "prompt": "What is 0 * (3 + 0) / (-9 * 693)?", "solution_steps": ["Add: 3 + 0 = 3", "Multiply: 0 * 3 = 0", "Multiply: -9 * 693 = -6237", "Divide: 0 / (-6237) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (3 + 0) / (-9 * 693)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 3, \"c\": 0, \"d\": -9, \"e\": 693}", "seed": "10136257484733802245", "semantic_fingerprint": "sha256:fcbd149b2e877f0a62900afe25904ce65fb1db27db1701fae631cb7637f55889", "generator_version": "3.0"}
{"id": "v3_val_00000091", "prompt": "Evaluate: 2 * (-6)", "solution_steps": ["Multiply: 2 * (-6) = -12"], "final_answer": "-12", "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": "17218463180091786285", "semantic_fingerprint": "sha256:43b388976e4831bb26328e4cd278f19a0b77885895f481044f3bd53ddd8b748d", "generator_version": "3.0"}
{"id": "v3_val_00000092", "prompt": "What is 441 / 6 * (-30) - 2?", "solution_steps": ["Divide: 441 / 6 = 147/2", "Multiply: (147/2) * (-30) = -2205", "Subtract: -2205 - 2 = -2207"], "final_answer": "-2207", "answer_type": "integer", "kind": "expression", "math_text": "441 / 6 * (-30) - 2", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 441, \"b\": 6, \"c\": -30, \"d\": 2}", "seed": "17920808735201854825", "semantic_fingerprint": "sha256:15665e7ea89d511108958a41e1e885fcd2c26a6625d2e43c93fd6e76adb83127", "generator_version": "3.0"}
{"id": "v3_val_00000093", "prompt": "Calculate: 0 * (-7) - (4 - 391) * (91 / 32)", "solution_steps": ["Multiply: 0 * (-7) = 0", "Subtract: 4 - 391 = -387", "Divide: 91 / 32 = 91/32", "Multiply: -387 * (91/32) = -35217/32", "Subtract: 0 - (-35217/32) = 35217/32"], "final_answer": "35217/32", "answer_type": "rational", "kind": "expression", "math_text": "0 * (-7) - (4 - 391) * (91 / 32)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -7, \"c\": 4, \"d\": 391, \"e\": 91, \"f\": 32}", "seed": "17372596787851536913", "semantic_fingerprint": "sha256:dbb32823ff8ee74c81b3704369ed29b05ca2766bb6886ee22db8362096b44e07", "generator_version": "3.0"}
{"id": "v3_val_00000094", "prompt": "Find x: 9(x - 23) = x - 335", "solution_steps": ["Expand: 9x - 207 = x - 335", "Subtract x from both sides: 8x - 207 = -335", "Add 207 to both sides: 8x = -128", "Divide both sides by 8: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 23) = x - 335", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 23, \"d\": -335, \"x\": -16}", "seed": "11527017644575144650", "semantic_fingerprint": "sha256:7ca6fd3e909aa313a7f0fb372c6ef491902dfde7421227330cb73746faa29f39", "generator_version": "3.0"}
{"id": "v3_val_00000095", "prompt": "Compute: 73 / (-17)", "solution_steps": ["Divide: 73 / (-17) = -73/17"], "final_answer": "-73/17", "answer_type": "rational", "kind": "expression", "math_text": "73 / (-17)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -17}", "seed": "8006636955755211917", "semantic_fingerprint": "sha256:d89a720ab4e1b18ee84f3a64245f5c3d808781aa246e5666380aa5f878e4ff46", "generator_version": "3.0"}
{"id": "v3_val_00000096", "prompt": "Calculate: -17 + 85", "solution_steps": ["Add: -17 + 85 = 68"], "final_answer": "68", "answer_type": "integer", "kind": "expression", "math_text": "-17 + 85", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 85}", "seed": "15015945871228584768", "semantic_fingerprint": "sha256:cc0f3bd4cedd88d36d55d5b03f01f5ba9db4c314a80852e1f5b598ea201d22a2", "generator_version": "3.0"}
{"id": "v3_val_00000097", "prompt": "Evaluate: -8 + 879 + (-31)", "solution_steps": ["Add: -8 + 879 = 871", "Add: 871 + (-31) = 840"], "final_answer": "840", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 879 + (-31)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 879, \"c\": -31}", "seed": "1393042652567760079", "semantic_fingerprint": "sha256:8fc859c618ce6f3e64d7bbc1b42257d7b1b52484f78354c90361d9680d2a7666", "generator_version": "3.0"}
{"id": "v3_val_00000098", "prompt": "What is 737 - (-99 + (-486) + 11)?", "solution_steps": ["Add: -99 + (-486) = -585", "Add: -585 + 11 = -574", "Subtract: 737 - (-574) = 1311"], "final_answer": "1311", "answer_type": "integer", "kind": "expression", "math_text": "737 - (-99 + (-486) + 11)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 737, \"b\": -99, \"c\": -486, \"d\": 11}", "seed": "10453586760368381073", "semantic_fingerprint": "sha256:025e00a3320e652e6729e6874aa181518cbbd7cffe685d748fa4dd91662fe74d", "generator_version": "3.0"}
{"id": "v3_val_00000099", "prompt": "Solve for x: -7x - 78 = -57", "solution_steps": ["Add 78 to both sides: -7x = 21", "Divide both sides by -7: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 78 = -57", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 78, \"d\": -57, \"x\": -3}", "seed": "4804498543568514880", "semantic_fingerprint": "sha256:1e000fb7db094d283456ac9519d8673c45fd20f80637f3092e237d23ce6a8a3b", "generator_version": "3.0"}
{"id": "v3_val_00000100", "prompt": "Solve for x: x - 24 = -5(x - 7) - 11", "solution_steps": ["Expand: x - 24 = -5x + 35 - 11", "Combine constants: x - 24 = -5x + 24", "Add 5x to both sides: 6x - 24 = 24", "Add 24 to both sides: 6x = 48", "Divide both sides by 6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 24 = -5(x - 7) - 11", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -5, \"c\": 7, \"e\": -11, \"x\": 8}", "seed": "11539957401023780942", "semantic_fingerprint": "sha256:460d3cd176b35561e3e975ee833c2af7db3105f3a7d8b769c5e0507813a7fa7a", "generator_version": "3.0"}
{"id": "v3_val_00000101", "prompt": "What is -74 - (-531 - 63) + 4?", "solution_steps": ["Subtract: -531 - 63 = -594", "Subtract: -74 - (-594) = 520", "Add: 520 + 4 = 524"], "final_answer": "524", "answer_type": "integer", "kind": "expression", "math_text": "-74 - (-531 - 63) + 4", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": -531, \"c\": 63, \"d\": 4}", "seed": "2578716847012520328", "semantic_fingerprint": "sha256:b5d71709bae924aa995ed726055894cd865221ee3e20d7b56b645aabbd78baec", "generator_version": "3.0"}
{"id": "v3_val_00000102", "prompt": "Calculate: -2 + (86 + (-938) - (27 / (-9) - (-50)))", "solution_steps": ["Add: 86 + (-938) = -852", "Divide: 27 / (-9) = -3", "Subtract: -3 - (-50) = 47", "Subtract: -852 - 47 = -899", "Add: -2 + (-899) = -901"], "final_answer": "-901", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (86 + (-938) - (27 / (-9) - (-50)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ n n) (- (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 86, \"c\": -938, \"d\": 27, \"e\": -9, \"f\": -50}", "seed": "7312833800080158195", "semantic_fingerprint": "sha256:ad7da70af57217947a8af8d43c404b505c6b35c0b397ebeae62fa01a8820e21f", "generator_version": "3.0"}
{"id": "v3_val_00000103", "prompt": "Compute: 161 / 105 - (-9)", "solution_steps": ["Divide: 161 / 105 = 23/15", "Subtract: 23/15 - (-9) = 158/15"], "final_answer": "158/15", "answer_type": "rational", "kind": "expression", "math_text": "161 / 105 - (-9)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 161, \"b\": 105, \"c\": -9}", "seed": "309752399715975376", "semantic_fingerprint": "sha256:ca4d7f5f473e654846fd109b100aa5cf54f3d148f9f9170d8929e287e53f24c4", "generator_version": "3.0"}
{"id": "v3_val_00000104", "prompt": "Find x: 12x = 0", "solution_steps": ["Divide both sides by 12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 0", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": 0, \"x\": 0}", "seed": "17968156553088819893", "semantic_fingerprint": "sha256:7c9c7047740d5671c66d0c4cdc28a83ec19a11fc60d68ff681d036b0dc434ece", "generator_version": "3.0"}
{"id": "v3_val_00000105", "prompt": "Solve for x: 6x - 3 = 10(x + 44) - 411", "solution_steps": ["Expand: 6x - 3 = 10x + 440 - 411", "Combine constants: 6x - 3 = 10x + 29", "Subtract 10x from both sides: -4x - 3 = 29", "Add 3 to both sides: -4x = 32", "Divide both sides by -4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 3 = 10(x + 44) - 411", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 10, \"d\": 44, \"f\": -411, \"x\": -8}", "seed": "12060805631771218346", "semantic_fingerprint": "sha256:f7b8d5f36d36f7a6590a9122e8acb40c1784d87f700116866a289e9ec18e83ac", "generator_version": "3.0"}
{"id": "v3_val_00000106", "prompt": "Evaluate: -747 * (-38)", "solution_steps": ["Multiply: -747 * (-38) = 28386"], "final_answer": "28386", "answer_type": "integer", "kind": "expression", "math_text": "-747 * (-38)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -747, \"b\": -38}", "seed": "181607206273916389", "semantic_fingerprint": "sha256:09f518f32ca210cdab5a789dd6ac37f1a557c907bd4df1a5bb02a10f2f365afa", "generator_version": "3.0"}
{"id": "v3_val_00000107", "prompt": "Find x: 6(x - 698) - 5 = 2(x - 8) + 4", "solution_steps": ["Expand: 6x - 4188 - 5 = 2(x - 8) + 4", "Expand: 6x - 4188 - 5 = 2x - 16 + 4", "Combine constants: 6x - 4193 = 2x - 16 + 4", "Combine constants: 6x - 4193 = 2x - 12", "Subtract 2x from both sides: 4x - 4193 = -12", "Add 4193 to both sides: 4x = 4181", "Divide both sides by 4: x = 4181/4"], "final_answer": "4181/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 698) - 5 = 2(x - 8) + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 698, \"c\": 5, \"d\": 2, \"e\": 8, \"f\": 4}", "seed": "15695015712013219049", "semantic_fingerprint": "sha256:862d019fdc11e23e07f6ec18e69809c52247e927ae1b908f977beeeffb45c1a3", "generator_version": "3.0"}
{"id": "v3_val_00000108", "prompt": "Calculate: 59 + (-28)", "solution_steps": ["Add: 59 + (-28) = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "59 + (-28)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -28}", "seed": "724879881980476641", "semantic_fingerprint": "sha256:0843daa1c598f87954541a06345f41e0bf0833092c849208b8e0a945659973c7", "generator_version": "3.0"}
{"id": "v3_val_00000109", "prompt": "Solve the equation -9x = 6(x + 935) for x.", "solution_steps": ["Expand: -9x = 6x + 5610", "Subtract 6x from both sides: -15x = 5610", "Divide both sides by -15: x = -374"], "final_answer": "-374", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 6(x + 935)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 935}", "seed": "17033838482065953026", "semantic_fingerprint": "sha256:0adb204ed831a4718f852b36b25b0e299166465922bc9c6ba89474e686f187f7", "generator_version": "3.0"}
{"id": "v3_val_00000110", "prompt": "What is 61 - (-758)?", "solution_steps": ["Subtract: 61 - (-758) = 819"], "final_answer": "819", "answer_type": "integer", "kind": "expression", "math_text": "61 - (-758)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -758}", "seed": "10847184524034053944", "semantic_fingerprint": "sha256:21cbdc5feec3dc55ccfa842a032b589d4884ae464f76aa8090a28e6c8450dfd2", "generator_version": "3.0"}
{"id": "v3_val_00000111", "prompt": "Evaluate: 58 * 8 + 79 + (-32) - (-626)", "solution_steps": ["Multiply: 58 * 8 = 464", "Add: 464 + 79 = 543", "Add: 543 + (-32) = 511", "Subtract: 511 - (-626) = 1137"], "final_answer": "1137", "answer_type": "integer", "kind": "expression", "math_text": "58 * 8 + 79 + (-32) - (-626)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 8, \"c\": 79, \"d\": -32, \"e\": -626}", "seed": "7494785286600480038", "semantic_fingerprint": "sha256:bbb351d974656b656a411790a10b65bf60e582fce9cd188977bf753afb16cd1c", "generator_version": "3.0"}
{"id": "v3_val_00000112", "prompt": "Calculate: 27 / (-452 - (-11))", "solution_steps": ["Subtract: -452 - (-11) = -441", "Divide: 27 / (-441) = -3/49"], "final_answer": "-3/49", "answer_type": "rational", "kind": "expression", "math_text": "27 / (-452 - (-11))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -452, \"c\": -11}", "seed": "11339519653776394671", "semantic_fingerprint": "sha256:265b8851097d754e0222a50bb9da5e449bfe57a5a29022f906930ff6316bedb7", "generator_version": "3.0"}
{"id": "v3_val_00000113", "prompt": "Calculate: 6 / (-956) + 9 - (-24)", "solution_steps": ["Divide: 6 / (-956) = -3/478", "Add: -3/478 + 9 = 4299/478", "Subtract: 4299/478 - (-24) = 15771/478"], "final_answer": "15771/478", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-956) + 9 - (-24)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -956, \"c\": 9, \"d\": -24}", "seed": "17610581344159086526", "semantic_fingerprint": "sha256:a8818f69903123d693b566fcb337a8e7c683ad323093054b4255e922a55c337d", "generator_version": "3.0"}
{"id": "v3_val_00000114", "prompt": "Find x: x - 78 = 9(x + 605) + 24", "solution_steps": ["Expand: x - 78 = 9x + 5445 + 24", "Combine constants: x - 78 = 9x + 5469", "Subtract 9x from both sides: -8x - 78 = 5469", "Add 78 to both sides: -8x = 5547", "Divide both sides by -8: x = -5547/8"], "final_answer": "-5547/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 78 = 9(x + 605) + 24", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 9, \"c\": 605, \"d\": 24}", "seed": "12606256894751958226", "semantic_fingerprint": "sha256:d95f74b4d42c60b9e87ccb9f3a4a3926fec0170dcc8d396b4bdbd74b3b178edb", "generator_version": "3.0"}
{"id": "v3_val_00000115", "prompt": "What is -924 * (-82 / (-63))?", "solution_steps": ["Divide: -82 / (-63) = 82/63", "Multiply: -924 * (82/63) = -3608/3"], "final_answer": "-3608/3", "answer_type": "rational", "kind": "expression", "math_text": "-924 * (-82 / (-63))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -924, \"b\": -82, \"c\": -63}", "seed": "9629769756965606102", "semantic_fingerprint": "sha256:db05f31edb6035e03389bd4f6ebee93ca6bca988431e1b7063e9af421cf2823f", "generator_version": "3.0"}
{"id": "v3_val_00000116", "prompt": "Evaluate: -1 + 84 + (-54)", "solution_steps": ["Add: -1 + 84 = 83", "Add: 83 + (-54) = 29"], "final_answer": "29", "answer_type": "integer", "kind": "expression", "math_text": "-1 + 84 + (-54)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 84, \"c\": -54}", "seed": "18410312789249921486", "semantic_fingerprint": "sha256:faa2ea5114d0d60916c3bf05b5c76dccf153ffdffef77bf936cf3a5602629095", "generator_version": "3.0"}
{"id": "v3_val_00000117", "prompt": "Calculate: 17 - (-1) / (-384 / (-36)) - (-4) - (-9)", "solution_steps": ["Divide: -384 / (-36) = 32/3", "Divide: -1 / (32/3) = -3/32", "Subtract: 17 - (-3/32) = 547/32", "Subtract: 547/32 - (-4) = 675/32", "Subtract: 675/32 - (-9) = 963/32"], "final_answer": "963/32", "answer_type": "rational", "kind": "expression", "math_text": "17 - (-1) / (-384 / (-36)) - (-4) - (-9)", "variable": null, "family": "expression_5op", "shape": "(- (- (- n (/ n (/ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -1, \"c\": -384, \"d\": -36, \"e\": -4, \"f\": -9}", "seed": "2298376449783318944", "semantic_fingerprint": "sha256:6a2b772770869e06fe4b54d125656ad2468e80f78519fa2437e9a840883e2efb", "generator_version": "3.0"}
{"id": "v3_val_00000118", "prompt": "What is 87 - 5?", "solution_steps": ["Subtract: 87 - 5 = 82"], "final_answer": "82", "answer_type": "integer", "kind": "expression", "math_text": "87 - 5", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 5}", "seed": "17477514273312035772", "semantic_fingerprint": "sha256:5c5615bd8e4fa1435114a5dfbd85afa7448403ea499cc9339d718da81fff8217", "generator_version": "3.0"}
{"id": "v3_val_00000119", "prompt": "Calculate: 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": "1027837162610932915", "semantic_fingerprint": "sha256:fe7bc424dc4799b88086eb46463932aaa9249f6bf19224b1dcc61576792571a0", "generator_version": "3.0"}
{"id": "v3_val_00000120", "prompt": "What value of x satisfies -8(x - 31) + 9 = 12(x + 7) + 293?", "solution_steps": ["Expand: -8x + 248 + 9 = 12(x + 7) + 293", "Expand: -8x + 248 + 9 = 12x + 84 + 293", "Combine constants: -8x + 257 = 12x + 84 + 293", "Combine constants: -8x + 257 = 12x + 377", "Subtract 12x from both sides: -20x + 257 = 377", "Subtract 257 from both sides: -20x = 120", "Divide both sides by -20: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 31) + 9 = 12(x + 7) + 293", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 31, \"c\": 9, \"d\": 12, \"e\": 7, \"g\": 293, \"x\": -6}", "seed": "11815251591650644190", "semantic_fingerprint": "sha256:1d6b4a1d2a93715d9624d3ab8690b477f85d0fec2e4f4354d5c092ead6ee6fd9", "generator_version": "3.0"}
{"id": "v3_val_00000121", "prompt": "Evaluate: 537 - (-15)", "solution_steps": ["Subtract: 537 - (-15) = 552"], "final_answer": "552", "answer_type": "integer", "kind": "expression", "math_text": "537 - (-15)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 537, \"b\": -15}", "seed": "6524823051673226148", "semantic_fingerprint": "sha256:17a0e3701a7cc19be5609289b754d23424b1662dbc406e1f2e600bd96e8352c3", "generator_version": "3.0"}
{"id": "v3_val_00000122", "prompt": "What value of x satisfies x + 937 = 11x + 937?", "solution_steps": ["Subtract 11x from both sides: -10x + 937 = 937", "Subtract 937 from both sides: -10x = 0", "Divide both sides by -10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 937 = 11x + 937", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 937, \"b\": 11, \"d\": 937, \"x\": 0}", "seed": "6899412758091880522", "semantic_fingerprint": "sha256:e5e8670d8af9043c4377a0cc750ba2bf1d84742a757e28eb54ea2f934197b9d4", "generator_version": "3.0"}
{"id": "v3_val_00000123", "prompt": "What is -997 * 4 - 993?", "solution_steps": ["Multiply: -997 * 4 = -3988", "Subtract: -3988 - 993 = -4981"], "final_answer": "-4981", "answer_type": "integer", "kind": "expression", "math_text": "-997 * 4 - 993", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -997, \"b\": 4, \"c\": 993}", "seed": "7353143767245364473", "semantic_fingerprint": "sha256:82c7984d1ac3a4d167c94757cf3d322c181f4ed41df3f8eff8b3b2c14d0f1171", "generator_version": "3.0"}
{"id": "v3_val_00000124", "prompt": "Compute: 70 + (-87)", "solution_steps": ["Add: 70 + (-87) = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "expression", "math_text": "70 + (-87)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -87}", "seed": "1080209379053754007", "semantic_fingerprint": "sha256:ba8aed4e8588578d5b437f3297d8529126244e301fa0902a20827a518f5c6581", "generator_version": "3.0"}
{"id": "v3_val_00000125", "prompt": "Compute: -48 * (-75 - (-8) / (-8))", "solution_steps": ["Divide: -8 / (-8) = 1", "Subtract: -75 - 1 = -76", "Multiply: -48 * (-76) = 3648"], "final_answer": "3648", "answer_type": "integer", "kind": "expression", "math_text": "-48 * (-75 - (-8) / (-8))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -75, \"c\": -8, \"d\": -8}", "seed": "10284201246136536989", "semantic_fingerprint": "sha256:8aa783f3a63f012295c8fc016353de41c908d055dc9d68bab5b5530af25f2644", "generator_version": "3.0"}
{"id": "v3_val_00000126", "prompt": "Evaluate: 1 - (-42) + (1 - 3)", "solution_steps": ["Subtract: 1 - (-42) = 43", "Subtract: 1 - 3 = -2", "Add: 43 + (-2) = 41"], "final_answer": "41", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-42) + (1 - 3)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -42, \"c\": 1, \"d\": 3}", "seed": "16528563818522635292", "semantic_fingerprint": "sha256:895d878be4742c02a2e161dba6a8c79d8e8f98ae750427d2daaaf41f9df96bc8", "generator_version": "3.0"}
{"id": "v3_val_00000127", "prompt": "What is 3 + 72?", "solution_steps": ["Add: 3 + 72 = 75"], "final_answer": "75", "answer_type": "integer", "kind": "expression", "math_text": "3 + 72", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 72}", "seed": "7898188942591565212", "semantic_fingerprint": "sha256:5aa6ac1b03917de720a10cc6ee2b6d88b6e8b1519dd6b514c04967bfcb8b0055", "generator_version": "3.0"}
{"id": "v3_val_00000128", "prompt": "Find x: x = 8(x + 34) - 153", "solution_steps": ["Expand: x = 8x + 272 - 153", "Combine constants: x = 8x + 119", "Subtract 8x from both sides: -7x = 119", "Divide both sides by -7: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 8(x + 34) - 153", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 34, \"d\": -153, \"x\": -17}", "seed": "5288951293038269111", "semantic_fingerprint": "sha256:0b8bb1813d691bae1272de40676f760fb9bd6b096b3580061f3d2dfcde87b0df", "generator_version": "3.0"}
{"id": "v3_val_00000129", "prompt": "Compute: 79 * (-92 + (-43)) * 3", "solution_steps": ["Add: -92 + (-43) = -135", "Multiply: 79 * (-135) = -10665", "Multiply: -10665 * 3 = -31995"], "final_answer": "-31995", "answer_type": "integer", "kind": "expression", "math_text": "79 * (-92 + (-43)) * 3", "variable": null, "family": "expression_3op", "shape": "(* (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -92, \"c\": -43, \"d\": 3}", "seed": "5364115954563237132", "semantic_fingerprint": "sha256:f26839f7e488dbce4da303fca3f6ad3771b95dd1b3b94fca36e1728854fd054d", "generator_version": "3.0"}
{"id": "v3_val_00000130", "prompt": "What is 20 - (-86 + (-6) / (-7 / (-36)))?", "solution_steps": ["Divide: -7 / (-36) = 7/36", "Divide: -6 / (7/36) = -216/7", "Add: -86 + (-216/7) = -818/7", "Subtract: 20 - (-818/7) = 958/7"], "final_answer": "958/7", "answer_type": "rational", "kind": "expression", "math_text": "20 - (-86 + (-6) / (-7 / (-36)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (/ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": -86, \"c\": -6, \"d\": -7, \"e\": -36}", "seed": "12398341245236960222", "semantic_fingerprint": "sha256:976fa473730ce64141ce211c4b0edd8fbca8822d63b0998fe2e6350999767ed3", "generator_version": "3.0"}
{"id": "v3_val_00000131", "prompt": "Evaluate: -8 * (-7) - 0 + (394 + 9)", "solution_steps": ["Multiply: -8 * (-7) = 56", "Subtract: 56 - 0 = 56", "Add: 394 + 9 = 403", "Add: 56 + 403 = 459"], "final_answer": "459", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-7) - 0 + (394 + 9)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -7, \"c\": 0, \"d\": 394, \"e\": 9}", "seed": "1015883609721475953", "semantic_fingerprint": "sha256:3e5b2c57476211d6ff492c7be81cdbd5fd8aa9069fcfc83e750799fb5bbedf90", "generator_version": "3.0"}
{"id": "v3_val_00000132", "prompt": "Compute: -67 + (-386)", "solution_steps": ["Add: -67 + (-386) = -453"], "final_answer": "-453", "answer_type": "integer", "kind": "expression", "math_text": "-67 + (-386)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -386}", "seed": "5609629427962902026", "semantic_fingerprint": "sha256:fb9ebce4c2eb0a033f0e879e07b557e6a0606f16e63b563b0a55caec29645a2d", "generator_version": "3.0"}
{"id": "v3_val_00000133", "prompt": "Solve for x: 2(x + 405) - 812 = -6(x + 3)", "solution_steps": ["Expand: 2x + 810 - 812 = -6(x + 3)", "Expand: 2x + 810 - 812 = -6x - 18", "Combine constants: 2x - 2 = -6x - 18", "Add 6x to both sides: 8x - 2 = -18", "Add 2 to both sides: 8x = -16", "Divide both sides by 8: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 405) - 812 = -6(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 405, \"c\": -6, \"d\": 3, \"f\": -812, \"x\": -2}", "seed": "1279593256681577444", "semantic_fingerprint": "sha256:a875cb81618a86170e9f07e62536e20a8ac25a553a21a9f320feccf2be88fdd7", "generator_version": "3.0"}
{"id": "v3_val_00000134", "prompt": "Solve for x: x - 4 = -5x + 666", "solution_steps": ["Add 5x to both sides: 6x - 4 = 666", "Add 4 to both sides: 6x = 670", "Divide both sides by 6: x = 335/3"], "final_answer": "335/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4 = -5x + 666", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -5, \"c\": 666}", "seed": "14688803384886694808", "semantic_fingerprint": "sha256:360bd595b948da2a7045744eeefad58b1e9f5a5f8d6de39afdba21a11fc34d98", "generator_version": "3.0"}
{"id": "v3_val_00000135", "prompt": "Compute: 8 * (4 / (-327) * (-7 + (-2)))", "solution_steps": ["Divide: 4 / (-327) = -4/327", "Add: -7 + (-2) = -9", "Multiply: (-4/327) * (-9) = 12/109", "Multiply: 8 * (12/109) = 96/109"], "final_answer": "96/109", "answer_type": "rational", "kind": "expression", "math_text": "8 * (4 / (-327) * (-7 + (-2)))", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": -327, \"d\": -7, \"e\": -2}", "seed": "5085801325747087977", "semantic_fingerprint": "sha256:4fecbb93fb603f584e1b8d14c5042151ab9efc53b83329cbd4382169d95fa07c", "generator_version": "3.0"}
{"id": "v3_val_00000136", "prompt": "What is 7 - 1 * (-709)?", "solution_steps": ["Multiply: 1 * (-709) = -709", "Subtract: 7 - (-709) = 716"], "final_answer": "716", "answer_type": "integer", "kind": "expression", "math_text": "7 - 1 * (-709)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": -709}", "seed": "8723370982462482762", "semantic_fingerprint": "sha256:f482350712bb216e1f73969bd2efbc10182f02f6d7552fca50ef009fbf41a7b2", "generator_version": "3.0"}
{"id": "v3_val_00000137", "prompt": "Solve the equation 3(x + 51) + 938 = -9(x - 54) + 845 for x.", "solution_steps": ["Expand: 3x + 153 + 938 = -9(x - 54) + 845", "Expand: 3x + 153 + 938 = -9x + 486 + 845", "Combine constants: 3x + 1091 = -9x + 486 + 845", "Combine constants: 3x + 1091 = -9x + 1331", "Add 9x to both sides: 12x + 1091 = 1331", "Subtract 1091 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 + 51) + 938 = -9(x - 54) + 845", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 51, \"c\": 938, \"d\": -9, \"e\": 54, \"g\": 845, \"x\": 20}", "seed": "8385718493986764765", "semantic_fingerprint": "sha256:609def2d06fdfccce7b3ad18e07f8a6d0e931369bbf44b6e1edce2c6d7d2d0f6", "generator_version": "3.0"}
{"id": "v3_val_00000138", "prompt": "Calculate: -50 - (-19) + 5 / (-8)", "solution_steps": ["Subtract: -50 - (-19) = -31", "Divide: 5 / (-8) = -5/8", "Add: -31 + (-5/8) = -253/8"], "final_answer": "-253/8", "answer_type": "rational", "kind": "expression", "math_text": "-50 - (-19) + 5 / (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -19, \"c\": 5, \"d\": -8}", "seed": "1590286490111135937", "semantic_fingerprint": "sha256:b9b7bf0dc855573022c5cd380266376445b00df4bb2f9b435d5af823d2706875", "generator_version": "3.0"}
{"id": "v3_val_00000139", "prompt": "Compute: (-49 - (-6)) * (-4) * (-71 + 78)", "solution_steps": ["Subtract: -49 - (-6) = -43", "Multiply: -43 * (-4) = 172", "Add: -71 + 78 = 7", "Multiply: 172 * 7 = 1204"], "final_answer": "1204", "answer_type": "integer", "kind": "expression", "math_text": "(-49 - (-6)) * (-4) * (-71 + 78)", "variable": null, "family": "expression_4op", "shape": "(* (* (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -6, \"c\": -4, \"d\": -71, \"e\": 78}", "seed": "10014712362906706078", "semantic_fingerprint": "sha256:f358a6806de9a5f629a9c01566c254c99c8ab66144ac749e8d9bfc0bfd6b3aaa", "generator_version": "3.0"}
{"id": "v3_val_00000140", "prompt": "Solve the equation 12(x - 548) + 51 = x + 96 for x.", "solution_steps": ["Expand: 12x - 6576 + 51 = x + 96", "Combine constants: 12x - 6525 = x + 96", "Subtract x from both sides: 11x - 6525 = 96", "Add 6525 to both sides: 11x = 6621", "Divide both sides by 11: x = 6621/11"], "final_answer": "6621/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 548) + 51 = x + 96", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 548, \"c\": 51, \"d\": 96}", "seed": "5301446723221490522", "semantic_fingerprint": "sha256:f200f2cc230f00331a349c7235e25edfff35540f3f8dc26362630bf45a75b9e3", "generator_version": "3.0"}
{"id": "v3_val_00000141", "prompt": "Compute: -48 - (-312) * 0 + 872", "solution_steps": ["Multiply: -312 * 0 = 0", "Subtract: -48 - 0 = -48", "Add: -48 + 872 = 824"], "final_answer": "824", "answer_type": "integer", "kind": "expression", "math_text": "-48 - (-312) * 0 + 872", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -312, \"c\": 0, \"d\": 872}", "seed": "5225411192520557914", "semantic_fingerprint": "sha256:4e4df37714fcf1cdff5833b38702714ae1bdc92b41fe1455ba963bab03bee199", "generator_version": "3.0"}
{"id": "v3_val_00000142", "prompt": "Evaluate: -88 - (-7) / 841", "solution_steps": ["Divide: -7 / 841 = -7/841", "Subtract: -88 - (-7/841) = -74001/841"], "final_answer": "-74001/841", "answer_type": "rational", "kind": "expression", "math_text": "-88 - (-7) / 841", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -7, \"c\": 841}", "seed": "8233840384746971135", "semantic_fingerprint": "sha256:cbb958f7e9f3be838dfddadb3363af5309f1651d9b5dbc03c2e0b474aba840b8", "generator_version": "3.0"}
{"id": "v3_val_00000143", "prompt": "Evaluate: 55 + (-1)", "solution_steps": ["Add: 55 + (-1) = 54"], "final_answer": "54", "answer_type": "integer", "kind": "expression", "math_text": "55 + (-1)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -1}", "seed": "7032693474934138168", "semantic_fingerprint": "sha256:e1262c8c683cab6357b84f0dc9fca9e30d19f585660569a7e41eeca6167a7104", "generator_version": "3.0"}
{"id": "v3_val_00000144", "prompt": "Evaluate: 0 - 56 + (9 + 151)", "solution_steps": ["Subtract: 0 - 56 = -56", "Add: 9 + 151 = 160", "Add: -56 + 160 = 104"], "final_answer": "104", "answer_type": "integer", "kind": "expression", "math_text": "0 - 56 + (9 + 151)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 56, \"c\": 9, \"d\": 151}", "seed": "1124514061548320943", "semantic_fingerprint": "sha256:baf8ccc694c4eee887f7bef0e906f6097916b21284b363f54bc66aabe0854550", "generator_version": "3.0"}
{"id": "v3_val_00000145", "prompt": "What is 80 * 55?", "solution_steps": ["Multiply: 80 * 55 = 4400"], "final_answer": "4400", "answer_type": "integer", "kind": "expression", "math_text": "80 * 55", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 55}", "seed": "10477655594006799410", "semantic_fingerprint": "sha256:72370acb001663a7d79c69308b32f194a0d8b4b47427bb7a7e27c04394e74d03", "generator_version": "3.0"}
{"id": "v3_val_00000146", "prompt": "Calculate: (-647 - (-5)) / 34", "solution_steps": ["Subtract: -647 - (-5) = -642", "Divide: -642 / 34 = -321/17"], "final_answer": "-321/17", "answer_type": "rational", "kind": "expression", "math_text": "(-647 - (-5)) / 34", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -647, \"b\": -5, \"c\": 34}", "seed": "13641411812137117650", "semantic_fingerprint": "sha256:409f403c36847a693f172c834ec71e16b2dac389a3e56ee334433db035fd5a15", "generator_version": "3.0"}
{"id": "v3_val_00000147", "prompt": "What is 63 * 26 - (-6 + (-579))?", "solution_steps": ["Multiply: 63 * 26 = 1638", "Add: -6 + (-579) = -585", "Subtract: 1638 - (-585) = 2223"], "final_answer": "2223", "answer_type": "integer", "kind": "expression", "math_text": "63 * 26 - (-6 + (-579))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 26, \"c\": -6, \"d\": -579}", "seed": "2051817075064940439", "semantic_fingerprint": "sha256:5f661c690244c2e1a49c8234485216d99579d6ae792ba48225dcd7d374c5359b", "generator_version": "3.0"}
{"id": "v3_val_00000148", "prompt": "Find x: x - 698 = -1", "solution_steps": ["Add 698 to both sides: x = 697"], "final_answer": "697", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 698 = -1", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 698, \"b\": -1}", "seed": "7061560543905262336", "semantic_fingerprint": "sha256:8d28979538a0014aa3a2566e701ca135aeb42dd2a3151adbc6294240304cff65", "generator_version": "3.0"}
{"id": "v3_val_00000149", "prompt": "Calculate: -261 * (0 * 7 + 42)", "solution_steps": ["Multiply: 0 * 7 = 0", "Add: 0 + 42 = 42", "Multiply: -261 * 42 = -10962"], "final_answer": "-10962", "answer_type": "integer", "kind": "expression", "math_text": "-261 * (0 * 7 + 42)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -261, \"b\": 0, \"c\": 7, \"d\": 42}", "seed": "5006417016315938550", "semantic_fingerprint": "sha256:a8b181b1733eff59de1045125a45d1ac8d310d704b01361fe71f8ac033c77424", "generator_version": "3.0"}
{"id": "v3_val_00000150", "prompt": "Calculate: 2 * ((99 - (-20)) * (-178))", "solution_steps": ["Subtract: 99 - (-20) = 119", "Multiply: 119 * (-178) = -21182", "Multiply: 2 * (-21182) = -42364"], "final_answer": "-42364", "answer_type": "integer", "kind": "expression", "math_text": "2 * ((99 - (-20)) * (-178))", "variable": null, "family": "expression_3op", "shape": "(* n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 99, \"c\": -20, \"d\": -178}", "seed": "12500125365782608485", "semantic_fingerprint": "sha256:03dd3c272e4e9c6d32ef9b4bec59e0525415f062f2af8272b6de5b25c6d7acd5", "generator_version": "3.0"}
{"id": "v3_val_00000151", "prompt": "Evaluate: (-309 + (-45)) * 85", "solution_steps": ["Add: -309 + (-45) = -354", "Multiply: -354 * 85 = -30090"], "final_answer": "-30090", "answer_type": "integer", "kind": "expression", "math_text": "(-309 + (-45)) * 85", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -309, \"b\": -45, \"c\": 85}", "seed": "14266129714854039600", "semantic_fingerprint": "sha256:298c72606b097310e3c41191e79edac66cf100757ea55d924e03990c2c4813a5", "generator_version": "3.0"}
{"id": "v3_val_00000152", "prompt": "Solve for x: 8x - 4 = x + 66", "solution_steps": ["Subtract x from both sides: 7x - 4 = 66", "Add 4 to both sides: 7x = 70", "Divide both sides by 7: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 4 = x + 66", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"d\": 66, \"x\": 10}", "seed": "6715007588781561667", "semantic_fingerprint": "sha256:870fbdfc317ab229311c566273c830edd5a6d23701e8348c8176ac1712917710", "generator_version": "3.0"}
{"id": "v3_val_00000153", "prompt": "Evaluate: (-67 - (-241)) * (786 - (-20))", "solution_steps": ["Subtract: -67 - (-241) = 174", "Subtract: 786 - (-20) = 806", "Multiply: 174 * 806 = 140244"], "final_answer": "140244", "answer_type": "integer", "kind": "expression", "math_text": "(-67 - (-241)) * (786 - (-20))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -241, \"c\": 786, \"d\": -20}", "seed": "7609918531435714919", "semantic_fingerprint": "sha256:c5e9efdab3e9a1b2142c262a3cce8552736f6ccb15421debaf41389708d398c4", "generator_version": "3.0"}
{"id": "v3_val_00000154", "prompt": "Evaluate: -82 - (743 - 67)", "solution_steps": ["Subtract: 743 - 67 = 676", "Subtract: -82 - 676 = -758"], "final_answer": "-758", "answer_type": "integer", "kind": "expression", "math_text": "-82 - (743 - 67)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": 743, \"c\": 67}", "seed": "16014302987072688071", "semantic_fingerprint": "sha256:4f3aa24f60809ce2b9294a98160092373e641ec40375875be9e13c364d1fdd86", "generator_version": "3.0"}
{"id": "v3_val_00000155", "prompt": "Evaluate: -2 / (-67) + (-728)", "solution_steps": ["Divide: -2 / (-67) = 2/67", "Add: 2/67 + (-728) = -48774/67"], "final_answer": "-48774/67", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-67) + (-728)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -67, \"c\": -728}", "seed": "9812644757869207014", "semantic_fingerprint": "sha256:ea929ac3c4793fd2081ac34f24e4aea3b546fbbe279badb0d4ef9068b2c0cf90", "generator_version": "3.0"}
{"id": "v3_val_00000156", "prompt": "Evaluate: (0 + (-1)) * 22", "solution_steps": ["Add: 0 + (-1) = -1", "Multiply: -1 * 22 = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "(0 + (-1)) * 22", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": 22}", "seed": "2821071462284341169", "semantic_fingerprint": "sha256:38b911fb0ee4d30ae03d68833620b2b33963d97c23709510591101949a0512f8", "generator_version": "3.0"}
{"id": "v3_val_00000157", "prompt": "Compute: 9 - (-869 - (-51)) * (-5)", "solution_steps": ["Subtract: -869 - (-51) = -818", "Multiply: -818 * (-5) = 4090", "Subtract: 9 - 4090 = -4081"], "final_answer": "-4081", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-869 - (-51)) * (-5)", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -869, \"c\": -51, \"d\": -5}", "seed": "11367886503889883889", "semantic_fingerprint": "sha256:cd4785b2c65d4245a73d8d862346edb53df25f8e73712d9b5996c2117bd1719e", "generator_version": "3.0"}
{"id": "v3_val_00000158", "prompt": "What is 67 / 7 - 84?", "solution_steps": ["Divide: 67 / 7 = 67/7", "Subtract: 67/7 - 84 = -521/7"], "final_answer": "-521/7", "answer_type": "rational", "kind": "expression", "math_text": "67 / 7 - 84", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 7, \"c\": 84}", "seed": "17438275292668273466", "semantic_fingerprint": "sha256:a533e511e65a5b929a520c2963af703e2c4e59a162fbf317c79a50b088c65a09", "generator_version": "3.0"}
{"id": "v3_val_00000159", "prompt": "Solve for x: x + 1 = 6(x - 55) - 79", "solution_steps": ["Expand: x + 1 = 6x - 330 - 79", "Combine constants: x + 1 = 6x - 409", "Subtract 6x from both sides: -5x + 1 = -409", "Subtract 1 from both sides: -5x = -410", "Divide both sides by -5: x = 82"], "final_answer": "82", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1 = 6(x - 55) - 79", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 6, \"c\": 55, \"d\": 79}", "seed": "17181567187056427292", "semantic_fingerprint": "sha256:c8434219240a7f654d3b9005116bb48f5c15823e9aa7120858cd45ec4a944366", "generator_version": "3.0"}
{"id": "v3_val_00000160", "prompt": "Calculate: -339 * (-5)", "solution_steps": ["Multiply: -339 * (-5) = 1695"], "final_answer": "1695", "answer_type": "integer", "kind": "expression", "math_text": "-339 * (-5)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -339, \"b\": -5}", "seed": "2353476773048769016", "semantic_fingerprint": "sha256:9f2c379a23bc12a3fd30613eab9688be61af3e4af8542131b1502b3a876099cd", "generator_version": "3.0"}
{"id": "v3_val_00000161", "prompt": "Find x: 12x + 1 = 109", "solution_steps": ["Subtract 1 from both sides: 12x = 108", "Divide both sides by 12: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 1 = 109", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"d\": 109, \"x\": 9}", "seed": "2326443379034586777", "semantic_fingerprint": "sha256:5633ce39a8c924324830f9380ae55d84470480a4a92ad22cc371df5319516ce6", "generator_version": "3.0"}
{"id": "v3_val_00000162", "prompt": "Find x: x + 59 = -10(x + 4)", "solution_steps": ["Expand: x + 59 = -10x - 40", "Add 10x to both sides: 11x + 59 = -40", "Subtract 59 from both sides: 11x = -99", "Divide both sides by 11: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 59 = -10(x + 4)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"d\": 59, \"x\": -9}", "seed": "7646623378253188206", "semantic_fingerprint": "sha256:b0f7adc13b62643f41c40816fba02ede19e1b7b90e2243e149da69eb7621e22e", "generator_version": "3.0"}
{"id": "v3_val_00000163", "prompt": "What value of x satisfies x = 9(x + 64)?", "solution_steps": ["Expand: x = 9x + 576", "Subtract 9x from both sides: -8x = 576", "Divide both sides by -8: x = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9(x + 64)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 64}", "seed": "11632577629343268680", "semantic_fingerprint": "sha256:f2926bf570e12f8e3add32e0a232ef1242386fd8bffbd002a0d796709f1ca09f", "generator_version": "3.0"}
{"id": "v3_val_00000164", "prompt": "Evaluate: 335 - (-3) - (770 + (3 + (-855)))", "solution_steps": ["Subtract: 335 - (-3) = 338", "Add: 3 + (-855) = -852", "Add: 770 + (-852) = -82", "Subtract: 338 - (-82) = 420"], "final_answer": "420", "answer_type": "integer", "kind": "expression", "math_text": "335 - (-3) - (770 + (3 + (-855)))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 335, \"b\": -3, \"c\": 770, \"d\": 3, \"e\": -855}", "seed": "6068027687475533999", "semantic_fingerprint": "sha256:3703d92b75bde1ea48028976ae127ec5c0095fcac4c206c880c97725135db780", "generator_version": "3.0"}
{"id": "v3_val_00000165", "prompt": "What value of x satisfies x + 71 = 11(x + 4) + 75?", "solution_steps": ["Expand: x + 71 = 11x + 44 + 75", "Combine constants: x + 71 = 11x + 119", "Subtract 11x from both sides: -10x + 71 = 119", "Subtract 71 from both sides: -10x = 48", "Divide both sides by -10: x = -24/5"], "final_answer": "-24/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 71 = 11(x + 4) + 75", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 11, \"c\": 4, \"d\": 75}", "seed": "3367110437145557975", "semantic_fingerprint": "sha256:ed687b11e51199b897684c5efc0b32d8b4db586b92faeaaf6e5f89cadb50de89", "generator_version": "3.0"}
{"id": "v3_val_00000166", "prompt": "Calculate: 7 - (-60)", "solution_steps": ["Subtract: 7 - (-60) = 67"], "final_answer": "67", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-60)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -60}", "seed": "4285631024000882124", "semantic_fingerprint": "sha256:41ead33ba0abb55103b79c69d965d70d61d88426e1376a73683c3a06434cb2da", "generator_version": "3.0"}
{"id": "v3_val_00000167", "prompt": "What is -22 / (-9 + 6)?", "solution_steps": ["Add: -9 + 6 = -3", "Divide: -22 / (-3) = 22/3"], "final_answer": "22/3", "answer_type": "rational", "kind": "expression", "math_text": "-22 / (-9 + 6)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -9, \"c\": 6}", "seed": "14391200924442571616", "semantic_fingerprint": "sha256:3a3386fffabcf07e3f579871cf402dbe946cbec0fde13f84d7a798e7598ee16e", "generator_version": "3.0"}
{"id": "v3_val_00000168", "prompt": "Evaluate: (-8 + 752) / (4 + (-67)) + (-12 - (-53))", "solution_steps": ["Add: -8 + 752 = 744", "Add: 4 + (-67) = -63", "Divide: 744 / (-63) = -248/21", "Subtract: -12 - (-53) = 41", "Add: -248/21 + 41 = 613/21"], "final_answer": "613/21", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 752) / (4 + (-67)) + (-12 - (-53))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 752, \"c\": 4, \"d\": -67, \"e\": -12, \"f\": -53}", "seed": "5776915856369506403", "semantic_fingerprint": "sha256:25ff4bb2a424fa1f647aa2f3c5cbec8fb422085083894e64955fa39f604affc2", "generator_version": "3.0"}
{"id": "v3_val_00000169", "prompt": "Compute: -464 + (60 * (-456) + (-10) / 10)", "solution_steps": ["Multiply: 60 * (-456) = -27360", "Divide: -10 / 10 = -1", "Add: -27360 + (-1) = -27361", "Add: -464 + (-27361) = -27825"], "final_answer": "-27825", "answer_type": "integer", "kind": "expression", "math_text": "-464 + (60 * (-456) + (-10) / 10)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -464, \"b\": 60, \"c\": -456, \"d\": -10, \"e\": 10}", "seed": "52047339529979174", "semantic_fingerprint": "sha256:f8609f2b4ea01d7877cd0e8fe20f03520c9e56cc5aef9a1cfc5606670302c7e9", "generator_version": "3.0"}
{"id": "v3_val_00000170", "prompt": "Compute: 505 * (6 + (-4))", "solution_steps": ["Add: 6 + (-4) = 2", "Multiply: 505 * 2 = 1010"], "final_answer": "1010", "answer_type": "integer", "kind": "expression", "math_text": "505 * (6 + (-4))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 505, \"b\": 6, \"c\": -4}", "seed": "14986523573388287340", "semantic_fingerprint": "sha256:6f95478f8a5c898c678f07be6f45fd1a1c61c3d6414756ae43f614d1a0bef0ce", "generator_version": "3.0"}
{"id": "v3_val_00000171", "prompt": "What is -468 * (-47 + (-64) / (96 * 24)) / 51?", "solution_steps": ["Multiply: 96 * 24 = 2304", "Divide: -64 / 2304 = -1/36", "Add: -47 + (-1/36) = -1693/36", "Multiply: -468 * (-1693/36) = 22009", "Divide: 22009 / 51 = 22009/51"], "final_answer": "22009/51", "answer_type": "rational", "kind": "expression", "math_text": "-468 * (-47 + (-64) / (96 * 24)) / 51", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ n (/ n (* n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -468, \"b\": -47, \"c\": -64, \"d\": 96, \"e\": 24, \"f\": 51}", "seed": "506907530313159501", "semantic_fingerprint": "sha256:41387c3fe2ddee1e5d60fc724d9aa7e5c459b2199215fcd6d828a9fe6e3fd475", "generator_version": "3.0"}
{"id": "v3_val_00000172", "prompt": "Compute: -3 + (-801)", "solution_steps": ["Add: -3 + (-801) = -804"], "final_answer": "-804", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-801)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -801}", "seed": "14778977480818702437", "semantic_fingerprint": "sha256:66fcee74534f2c3966ec5649b699b171063d8ebd4bf0b9664767448258d610e0", "generator_version": "3.0"}
{"id": "v3_val_00000173", "prompt": "Find x: 8x = -56", "solution_steps": ["Divide both sides by 8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -56", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": -56, \"x\": -7}", "seed": "18035494925140014082", "semantic_fingerprint": "sha256:ed465b1f7ea5284bb89e616d9ca0b2f2bf186760c9eada3791e5292a795b360f", "generator_version": "3.0"}
{"id": "v3_val_00000174", "prompt": "Evaluate: 95 / (-38 - 16)", "solution_steps": ["Subtract: -38 - 16 = -54", "Divide: 95 / (-54) = -95/54"], "final_answer": "-95/54", "answer_type": "rational", "kind": "expression", "math_text": "95 / (-38 - 16)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -38, \"c\": 16}", "seed": "6919139356925524367", "semantic_fingerprint": "sha256:85b8980351f674553ce24fe4299e7854a69afde2dbc3c78045c4cd2640fb177e", "generator_version": "3.0"}
{"id": "v3_val_00000175", "prompt": "What is -14 - (-332) + (55 - (-8) / 231 * (-5))?", "solution_steps": ["Subtract: -14 - (-332) = 318", "Divide: -8 / 231 = -8/231", "Multiply: (-8/231) * (-5) = 40/231", "Subtract: 55 - 40/231 = 12665/231", "Add: 318 + 12665/231 = 86123/231"], "final_answer": "86123/231", "answer_type": "rational", "kind": "expression", "math_text": "-14 - (-332) + (55 - (-8) / 231 * (-5))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- n (* (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": -332, \"c\": 55, \"d\": -8, \"e\": 231, \"f\": -5}", "seed": "996547307558730578", "semantic_fingerprint": "sha256:f2fc352de5d045ccbd1ae56a4e5413c06e39080a83cbab5266648ff91ec1cd30", "generator_version": "3.0"}
{"id": "v3_val_00000176", "prompt": "Calculate: 36 / ((933 - 151) / 68)", "solution_steps": ["Subtract: 933 - 151 = 782", "Divide: 782 / 68 = 23/2", "Divide: 36 / (23/2) = 72/23"], "final_answer": "72/23", "answer_type": "rational", "kind": "expression", "math_text": "36 / ((933 - 151) / 68)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 933, \"c\": 151, \"d\": 68}", "seed": "7573673382639564569", "semantic_fingerprint": "sha256:e567cedb08c59939a6dca5d9179598e95c15b90e08e6b9611c45469c44376277", "generator_version": "3.0"}
{"id": "v3_val_00000177", "prompt": "What value of x satisfies -12(x + 3) + 188 = 2(x + 48)?", "solution_steps": ["Expand: -12x - 36 + 188 = 2(x + 48)", "Expand: -12x - 36 + 188 = 2x + 96", "Combine constants: -12x + 152 = 2x + 96", "Subtract 2x from both sides: -14x + 152 = 96", "Subtract 152 from both sides: -14x = -56", "Divide both sides by -14: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 3) + 188 = 2(x + 48)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 2, \"d\": 48, \"f\": 188, \"x\": 4}", "seed": "6208494094762762964", "semantic_fingerprint": "sha256:64f9bc2e7b2814405c811c4370008f67723dc2a3a740e771b78d6b714f170f42", "generator_version": "3.0"}
{"id": "v3_val_00000178", "prompt": "What value of x satisfies -4x - 20 = x + 20?", "solution_steps": ["Subtract x from both sides: -5x - 20 = 20", "Add 20 to both sides: -5x = 40", "Divide both sides by -5: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 20 = x + 20", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 20, \"d\": 20, \"x\": -8}", "seed": "17367937136213664378", "semantic_fingerprint": "sha256:9fafc29156d753dc2c5baec4f5d0bc3d02c9a4c583f316648dee5f8c53d6331d", "generator_version": "3.0"}
{"id": "v3_val_00000179", "prompt": "What is -78 / ((-28 + (-2)) * (-3)) * (-423 * 472)?", "solution_steps": ["Add: -28 + (-2) = -30", "Multiply: -30 * (-3) = 90", "Divide: -78 / 90 = -13/15", "Multiply: -423 * 472 = -199656", "Multiply: (-13/15) * (-199656) = 865176/5"], "final_answer": "865176/5", "answer_type": "rational", "kind": "expression", "math_text": "-78 / ((-28 + (-2)) * (-3)) * (-423 * 472)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (* (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -28, \"c\": -2, \"d\": -3, \"e\": -423, \"f\": 472}", "seed": "13311746895073551126", "semantic_fingerprint": "sha256:5fecf47c807722d5624eb5a68d56dded6096c6d3007b94ef61a2fe28359c1518", "generator_version": "3.0"}
{"id": "v3_val_00000180", "prompt": "Find x: -4(x + 1) + 16 = 10(x - 6) - 96", "solution_steps": ["Expand: -4x - 4 + 16 = 10(x - 6) - 96", "Expand: -4x - 4 + 16 = 10x - 60 - 96", "Combine constants: -4x + 12 = 10x - 60 - 96", "Combine constants: -4x + 12 = 10x - 156", "Subtract 10x from both sides: -14x + 12 = -156", "Subtract 12 from both sides: -14x = -168", "Divide both sides by -14: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 1) + 16 = 10(x - 6) - 96", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 1, \"c\": 16, \"d\": 10, \"e\": 6, \"g\": -96, \"x\": 12}", "seed": "9042766472884747727", "semantic_fingerprint": "sha256:fd03ea083dfce0a2e7b668b38f1cefba56ffa78e947235aa34ab8d3d5258857a", "generator_version": "3.0"}
{"id": "v3_val_00000181", "prompt": "Calculate: (-739 - 23) / (-96 - 1)", "solution_steps": ["Subtract: -739 - 23 = -762", "Subtract: -96 - 1 = -97", "Divide: -762 / (-97) = 762/97"], "final_answer": "762/97", "answer_type": "rational", "kind": "expression", "math_text": "(-739 - 23) / (-96 - 1)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -739, \"b\": 23, \"c\": -96, \"d\": 1}", "seed": "7358941790258496562", "semantic_fingerprint": "sha256:6e3a1969623d11b73123bb346227a0846c1820d2c0c46b3cdd631a98b699cf20", "generator_version": "3.0"}
{"id": "v3_val_00000182", "prompt": "Find x: 10(x - 5) - 9 = -88", "solution_steps": ["Expand: 10x - 50 - 9 = -88", "Combine constants: 10x - 59 = -88", "Add 59 to both sides: 10x = -29", "Divide both sides by 10: x = -29/10"], "final_answer": "-29/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 5) - 9 = -88", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 9, \"d\": -88}", "seed": "6446520006688000324", "semantic_fingerprint": "sha256:652920106aa7ba29395d98103cbf1ae03f6677d567f19005a071426bb90a58a7", "generator_version": "3.0"}
{"id": "v3_val_00000183", "prompt": "Evaluate: 174 - (-920) + (-94 - (-62))", "solution_steps": ["Subtract: 174 - (-920) = 1094", "Subtract: -94 - (-62) = -32", "Add: 1094 + (-32) = 1062"], "final_answer": "1062", "answer_type": "integer", "kind": "expression", "math_text": "174 - (-920) + (-94 - (-62))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 174, \"b\": -920, \"c\": -94, \"d\": -62}", "seed": "16380630682644800484", "semantic_fingerprint": "sha256:23e90402a11c23e50675ef76ebf0185d9ac1237bc747b9ae0d35f64cf2901130", "generator_version": "3.0"}
{"id": "v3_val_00000184", "prompt": "Solve the equation x = 6x - 85 for x.", "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": "5827159201204360143", "semantic_fingerprint": "sha256:52138edafa783c1e19d035797638039d3567017771ce06af38fa82195ea8d136", "generator_version": "3.0"}
{"id": "v3_val_00000185", "prompt": "What is -1 * (-686)?", "solution_steps": ["Multiply: -1 * (-686) = 686"], "final_answer": "686", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-686)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -686}", "seed": "4063558548921655260", "semantic_fingerprint": "sha256:63a6f0e9e30d0146cd29726486e638925f532ebb878a099a1241dae255bef5d4", "generator_version": "3.0"}
{"id": "v3_val_00000186", "prompt": "Find x: x - 7 = -18", "solution_steps": ["Add 7 to both sides: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = -18", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": -18, \"x\": -11}", "seed": "4860077373638697940", "semantic_fingerprint": "sha256:47f3ac7e57d006c28cc1b073e9ba16c19ab4d214432e8d4b2402e241f82e395b", "generator_version": "3.0"}
{"id": "v3_val_00000187", "prompt": "Solve for x: 2(x + 86) - 64 = 9(x + 5)", "solution_steps": ["Expand: 2x + 172 - 64 = 9(x + 5)", "Expand: 2x + 172 - 64 = 9x + 45", "Combine constants: 2x + 108 = 9x + 45", "Subtract 9x from both sides: -7x + 108 = 45", "Subtract 108 from both sides: -7x = -63", "Divide both sides by -7: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 86) - 64 = 9(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 86, \"c\": 9, \"d\": 5, \"f\": -64, \"x\": 9}", "seed": "5992329873869147939", "semantic_fingerprint": "sha256:983f5d4d7d887a3ba358bc0af7dcf76101e3a2de069e38402dd496654680577a", "generator_version": "3.0"}
{"id": "v3_val_00000188", "prompt": "Calculate: -99 / (-568)", "solution_steps": ["Divide: -99 / (-568) = 99/568"], "final_answer": "99/568", "answer_type": "rational", "kind": "expression", "math_text": "-99 / (-568)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -568}", "seed": "1466137407114983260", "semantic_fingerprint": "sha256:429292f2908cf93a3c60dc8a84daff23c52607ca2733eb78cd26a744ef3c80db", "generator_version": "3.0"}
{"id": "v3_val_00000189", "prompt": "Calculate: -208 + 81 * (-827)", "solution_steps": ["Multiply: 81 * (-827) = -66987", "Add: -208 + (-66987) = -67195"], "final_answer": "-67195", "answer_type": "integer", "kind": "expression", "math_text": "-208 + 81 * (-827)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -208, \"b\": 81, \"c\": -827}", "seed": "12367350851911080316", "semantic_fingerprint": "sha256:f208af9542fe5c2792368e99b1ed8077bfad4d30fcb9e010885b82aeabd54a2a", "generator_version": "3.0"}
{"id": "v3_val_00000190", "prompt": "Calculate: 54 / (-9) / (0 + 913) / (-36)", "solution_steps": ["Divide: 54 / (-9) = -6", "Add: 0 + 913 = 913", "Divide: -6 / 913 = -6/913", "Divide: (-6/913) / (-36) = 1/5478"], "final_answer": "1/5478", "answer_type": "rational", "kind": "expression", "math_text": "54 / (-9) / (0 + 913) / (-36)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -9, \"c\": 0, \"d\": 913, \"e\": -36}", "seed": "6849770383622886406", "semantic_fingerprint": "sha256:d3c6e0a91f4984906472a23e0a0d74f4610a1080c4eabadd41690153205a90cc", "generator_version": "3.0"}
{"id": "v3_val_00000191", "prompt": "Calculate: -886 / (536 + (-71))", "solution_steps": ["Add: 536 + (-71) = 465", "Divide: -886 / 465 = -886/465"], "final_answer": "-886/465", "answer_type": "rational", "kind": "expression", "math_text": "-886 / (536 + (-71))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -886, \"b\": 536, \"c\": -71}", "seed": "764528794389147274", "semantic_fingerprint": "sha256:750617ad13c69fb1bc4b680268abe1c19e4fd781fd1223773b3b9cfd177a9070", "generator_version": "3.0"}
{"id": "v3_val_00000192", "prompt": "Solve the equation x = -9(x - 82) for x.", "solution_steps": ["Expand: x = -9x + 738", "Add 9x to both sides: 10x = 738", "Divide both sides by 10: x = 369/5"], "final_answer": "369/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -9(x - 82)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 82}", "seed": "17656905587648360278", "semantic_fingerprint": "sha256:43181bfec6edf64a2b54333d2e84dfe1e55786134101d7327e097d66aa775fdb", "generator_version": "3.0"}
{"id": "v3_val_00000193", "prompt": "What is -670 - 744 - (-77)?", "solution_steps": ["Subtract: -670 - 744 = -1414", "Subtract: -1414 - (-77) = -1337"], "final_answer": "-1337", "answer_type": "integer", "kind": "expression", "math_text": "-670 - 744 - (-77)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -670, \"b\": 744, \"c\": -77}", "seed": "9646793477861846826", "semantic_fingerprint": "sha256:b926174f4e67c36b96ea2e3b81d66b798991eaece99a212501aef8e5ef94b414", "generator_version": "3.0"}
{"id": "v3_val_00000194", "prompt": "Evaluate: 3 * 103 / (-99)", "solution_steps": ["Multiply: 3 * 103 = 309", "Divide: 309 / (-99) = -103/33"], "final_answer": "-103/33", "answer_type": "rational", "kind": "expression", "math_text": "3 * 103 / (-99)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 103, \"c\": -99}", "seed": "15457674404503313183", "semantic_fingerprint": "sha256:4d272e688f16929aecb30e21b11fa8b3e654a64418049390eff1dafa7ca148e7", "generator_version": "3.0"}
{"id": "v3_val_00000195", "prompt": "What is -259 * (82 / (-3))?", "solution_steps": ["Divide: 82 / (-3) = -82/3", "Multiply: -259 * (-82/3) = 21238/3"], "final_answer": "21238/3", "answer_type": "rational", "kind": "expression", "math_text": "-259 * (82 / (-3))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -259, \"b\": 82, \"c\": -3}", "seed": "10271315571699728716", "semantic_fingerprint": "sha256:056e788b74899896100e47a722ea2a68cfdf210c5569bf0901c903ff49574c16", "generator_version": "3.0"}
{"id": "v3_val_00000196", "prompt": "Evaluate: 723 / (-7)", "solution_steps": ["Divide: 723 / (-7) = -723/7"], "final_answer": "-723/7", "answer_type": "rational", "kind": "expression", "math_text": "723 / (-7)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 723, \"b\": -7}", "seed": "14635329075867119182", "semantic_fingerprint": "sha256:ca5cd4fcb6813cd2b44b57069cb1f9121ed7be8a5ea6c6b7f74d729b9d4bde9b", "generator_version": "3.0"}
{"id": "v3_val_00000197", "prompt": "Compute: 54 * (-10)", "solution_steps": ["Multiply: 54 * (-10) = -540"], "final_answer": "-540", "answer_type": "integer", "kind": "expression", "math_text": "54 * (-10)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -10}", "seed": "405697333620300247", "semantic_fingerprint": "sha256:881b874c3102bf930915cfad44feb4fb0ef94755082f320b77c06aa84bf22758", "generator_version": "3.0"}
{"id": "v3_val_00000198", "prompt": "Calculate: 1 / 4 - 2 / 494", "solution_steps": ["Divide: 1 / 4 = 1/4", "Divide: 2 / 494 = 1/247", "Subtract: 1/4 - 1/247 = 243/988"], "final_answer": "243/988", "answer_type": "rational", "kind": "expression", "math_text": "1 / 4 - 2 / 494", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 4, \"c\": 2, \"d\": 494}", "seed": "12303034793318399490", "semantic_fingerprint": "sha256:57b2c52a3edc49937a6dab8e1f389e629b370784d2ee05739ae4304552dec738", "generator_version": "3.0"}
{"id": "v3_val_00000199", "prompt": "What is -240 + (24 - (-163)) / 31?", "solution_steps": ["Subtract: 24 - (-163) = 187", "Divide: 187 / 31 = 187/31", "Add: -240 + 187/31 = -7253/31"], "final_answer": "-7253/31", "answer_type": "rational", "kind": "expression", "math_text": "-240 + (24 - (-163)) / 31", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -240, \"b\": 24, \"c\": -163, \"d\": 31}", "seed": "10490330708893375481", "semantic_fingerprint": "sha256:d2609c33d166e94c64f9e4b1676cad7ac72d483d9328d10f3c8cf8f716b3b40e", "generator_version": "3.0"}
{"id": "v3_val_00000200", "prompt": "What is -27 / (14 / (-55))?", "solution_steps": ["Divide: 14 / (-55) = -14/55", "Divide: -27 / (-14/55) = 1485/14"], "final_answer": "1485/14", "answer_type": "rational", "kind": "expression", "math_text": "-27 / (14 / (-55))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 14, \"c\": -55}", "seed": "547724931121868922", "semantic_fingerprint": "sha256:4de5055a0bd17ce435db62fd54dd90a3d4c286e95b0c55d479dfe26b4295e7de", "generator_version": "3.0"}
{"id": "v3_val_00000201", "prompt": "What value of x satisfies 5(x + 154) - 1 = 834?", "solution_steps": ["Expand: 5x + 770 - 1 = 834", "Combine constants: 5x + 769 = 834", "Subtract 769 from both sides: 5x = 65", "Divide both sides by 5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 154) - 1 = 834", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 154, \"c\": 1, \"e\": 834, \"x\": 13}", "seed": "11284132279587001212", "semantic_fingerprint": "sha256:d5aa99eb389ebb1d0cd752447e4873e27fd173f0e50cdd39462542c45e22dda3", "generator_version": "3.0"}
{"id": "v3_val_00000202", "prompt": "Calculate: (0 + (-9)) * 6", "solution_steps": ["Add: 0 + (-9) = -9", "Multiply: -9 * 6 = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "expression", "math_text": "(0 + (-9)) * 6", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": 6}", "seed": "13600802127089283044", "semantic_fingerprint": "sha256:d0283fbfa5a6dce2e1e05c0839c8d818488cbd2a485b2d3c96f087c60d7d6c51", "generator_version": "3.0"}
{"id": "v3_val_00000203", "prompt": "Compute: 311 + (-9)", "solution_steps": ["Add: 311 + (-9) = 302"], "final_answer": "302", "answer_type": "integer", "kind": "expression", "math_text": "311 + (-9)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 311, \"b\": -9}", "seed": "2238137781373829613", "semantic_fingerprint": "sha256:6d940f2d63d3c2047e47c507d8f4d466982e37606d1289ec0b6bdabc29afb7ae", "generator_version": "3.0"}
{"id": "v3_val_00000204", "prompt": "Solve the equation x - 1 = 12x + 131 for x.", "solution_steps": ["Subtract 12x from both sides: -11x - 1 = 131", "Add 1 to both sides: -11x = 132", "Divide both sides by -11: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 12x + 131", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 12, \"d\": 131, \"x\": -12}", "seed": "17301728785623161117", "semantic_fingerprint": "sha256:b86368d67c6b136abf07abbec616953828354a748d7494455bf3cb799db58d45", "generator_version": "3.0"}
{"id": "v3_val_00000205", "prompt": "Calculate: 107 + 11", "solution_steps": ["Add: 107 + 11 = 118"], "final_answer": "118", "answer_type": "integer", "kind": "expression", "math_text": "107 + 11", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 107, \"b\": 11}", "seed": "12941837270719900399", "semantic_fingerprint": "sha256:3387a62f0774678f5140dae3a2c3d3f1e5603cb1b0dedb5cff05a11450865438", "generator_version": "3.0"}
{"id": "v3_val_00000206", "prompt": "What value of x satisfies x + 83 = 78?", "solution_steps": ["Subtract 83 from both sides: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 83 = 78", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 83, \"c\": 78, \"x\": -5}", "seed": "15929949071204445376", "semantic_fingerprint": "sha256:fe163f4e605bf4ec71b41b275f831d1909ebc3bfd8105f8439ea59965283b0d3", "generator_version": "3.0"}
{"id": "v3_val_00000207", "prompt": "Solve for x: 3(x - 41) - 3 = -99", "solution_steps": ["Expand: 3x - 123 - 3 = -99", "Combine constants: 3x - 126 = -99", "Add 126 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 - 41) - 3 = -99", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 41, \"c\": 3, \"e\": -99, \"x\": 9}", "seed": "18141552100001109853", "semantic_fingerprint": "sha256:d0a78dace868ac20ea8ecfaf3a4de378b99c91961af78902d9559409144d2e93", "generator_version": "3.0"}
{"id": "v3_val_00000208", "prompt": "Calculate: 832 / (-871) / 1", "solution_steps": ["Divide: 832 / (-871) = -64/67", "Divide: (-64/67) / 1 = -64/67"], "final_answer": "-64/67", "answer_type": "rational", "kind": "expression", "math_text": "832 / (-871) / 1", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 832, \"b\": -871, \"c\": 1}", "seed": "11147098074471522977", "semantic_fingerprint": "sha256:f9d46ab7bc8a8e756836f112818d6d870852d17544ea2c65109d94db01b43fc1", "generator_version": "3.0"}
{"id": "v3_val_00000209", "prompt": "Compute: -44 * (-40)", "solution_steps": ["Multiply: -44 * (-40) = 1760"], "final_answer": "1760", "answer_type": "integer", "kind": "expression", "math_text": "-44 * (-40)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -40}", "seed": "16528025841749707442", "semantic_fingerprint": "sha256:353eebc6bc5907526847a299a233ceda9a9f8789f2fec0ed1bfcca89b31f087c", "generator_version": "3.0"}
{"id": "v3_val_00000210", "prompt": "Solve for x: x = 8(x + 89) - 838", "solution_steps": ["Expand: x = 8x + 712 - 838", "Combine constants: x = 8x - 126", "Subtract 8x from both sides: -7x = -126", "Divide both sides by -7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 8(x + 89) - 838", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 89, \"d\": -838, \"x\": 18}", "seed": "13384517329869656026", "semantic_fingerprint": "sha256:938beb0380722c913c638c6e7b4502f7eae9995bf6b3cac337d0272fbdc31778", "generator_version": "3.0"}
{"id": "v3_val_00000211", "prompt": "Solve for x: -12x + 8 = 224", "solution_steps": ["Subtract 8 from both sides: -12x = 216", "Divide both sides by -12: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 8 = 224", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 8, \"d\": 224, \"x\": -18}", "seed": "8750031111233042341", "semantic_fingerprint": "sha256:f9ad31b70cab745274de130cc1c7e07ece64d5fcec5ecae9575a5bfcb7be8983", "generator_version": "3.0"}
{"id": "v3_val_00000212", "prompt": "Calculate: 305 / (524 - (-7) - (95 - (-468)))", "solution_steps": ["Subtract: 524 - (-7) = 531", "Subtract: 95 - (-468) = 563", "Subtract: 531 - 563 = -32", "Divide: 305 / (-32) = -305/32"], "final_answer": "-305/32", "answer_type": "rational", "kind": "expression", "math_text": "305 / (524 - (-7) - (95 - (-468)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 305, \"b\": 524, \"c\": -7, \"d\": 95, \"e\": -468}", "seed": "733075320322861483", "semantic_fingerprint": "sha256:8eda9d0220805108005e2acc590ad11891c3441695cf3e2dd379fd805fc26af7", "generator_version": "3.0"}
{"id": "v3_val_00000213", "prompt": "Calculate: (720 - 7) * (8 + 8 - (95 - 126))", "solution_steps": ["Subtract: 720 - 7 = 713", "Add: 8 + 8 = 16", "Subtract: 95 - 126 = -31", "Subtract: 16 - (-31) = 47", "Multiply: 713 * 47 = 33511"], "final_answer": "33511", "answer_type": "integer", "kind": "expression", "math_text": "(720 - 7) * (8 + 8 - (95 - 126))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 720, \"b\": 7, \"c\": 8, \"d\": 8, \"e\": 95, \"f\": 126}", "seed": "7271522886141771937", "semantic_fingerprint": "sha256:df5cb844180b0954dd906599b247a2f2d7766a92e87588bcc4b7946fd0f1fc75", "generator_version": "3.0"}
{"id": "v3_val_00000214", "prompt": "What is 6 - (-6) / (-75) + 6?", "solution_steps": ["Divide: -6 / (-75) = 2/25", "Subtract: 6 - 2/25 = 148/25", "Add: 148/25 + 6 = 298/25"], "final_answer": "298/25", "answer_type": "rational", "kind": "expression", "math_text": "6 - (-6) / (-75) + 6", "variable": null, "family": "expression_3op", "shape": "(+ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -6, \"c\": -75, \"d\": 6}", "seed": "5875333603948627499", "semantic_fingerprint": "sha256:d9fdc234a53defd2c1764420bfe6d49bda2a09fee4001d088a06f90bd825b30f", "generator_version": "3.0"}
{"id": "v3_val_00000215", "prompt": "Solve the equation -3(x + 153) + 74 = x - 449 for x.", "solution_steps": ["Expand: -3x - 459 + 74 = x - 449", "Combine constants: -3x - 385 = x - 449", "Subtract x from both sides: -4x - 385 = -449", "Add 385 to both sides: -4x = -64", "Divide both sides by -4: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 153) + 74 = x - 449", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 153, \"c\": 74, \"e\": -449, \"x\": 16}", "seed": "15119300007372839530", "semantic_fingerprint": "sha256:321d3e50922054908ba16b612e013dc0f066258cc2475ec37830d295f263a067", "generator_version": "3.0"}
{"id": "v3_val_00000216", "prompt": "Evaluate: -902 + (-92 + 0) - 1 + 0", "solution_steps": ["Add: -92 + 0 = -92", "Add: -902 + (-92) = -994", "Subtract: -994 - 1 = -995", "Add: -995 + 0 = -995"], "final_answer": "-995", "answer_type": "integer", "kind": "expression", "math_text": "-902 + (-92 + 0) - 1 + 0", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -902, \"b\": -92, \"c\": 0, \"d\": 1, \"e\": 0}", "seed": "11757476823809937377", "semantic_fingerprint": "sha256:d076dab005a8bb419d9c00d62529f984e2d4e563640939913c2621c12fd7e05f", "generator_version": "3.0"}
{"id": "v3_val_00000217", "prompt": "What is -6 * (383 * (-5 / 13)) + (-9)?", "solution_steps": ["Divide: -5 / 13 = -5/13", "Multiply: 383 * (-5/13) = -1915/13", "Multiply: -6 * (-1915/13) = 11490/13", "Add: 11490/13 + (-9) = 11373/13"], "final_answer": "11373/13", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (383 * (-5 / 13)) + (-9)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 383, \"c\": -5, \"d\": 13, \"e\": -9}", "seed": "18305059130796959335", "semantic_fingerprint": "sha256:cfa6efd62c983ac3bb4334ddd76c42e0c75f9551a54e34679441d691a1ed8871", "generator_version": "3.0"}
{"id": "v3_val_00000218", "prompt": "Compute: 9 / (-14 / (-5))", "solution_steps": ["Divide: -14 / (-5) = 14/5", "Divide: 9 / (14/5) = 45/14"], "final_answer": "45/14", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-14 / (-5))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -14, \"c\": -5}", "seed": "9073659863134234456", "semantic_fingerprint": "sha256:76f15388d6f0f4c696db31aa0a1cab3a6db6bb74e305e3572f4eb935ec338063", "generator_version": "3.0"}
{"id": "v3_val_00000219", "prompt": "Evaluate: (-421 + (-72)) * (54 * (-6)) / 2", "solution_steps": ["Add: -421 + (-72) = -493", "Multiply: 54 * (-6) = -324", "Multiply: -493 * (-324) = 159732", "Divide: 159732 / 2 = 79866"], "final_answer": "79866", "answer_type": "integer", "kind": "expression", "math_text": "(-421 + (-72)) * (54 * (-6)) / 2", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -421, \"b\": -72, \"c\": 54, \"d\": -6, \"e\": 2}", "seed": "3173079797620892826", "semantic_fingerprint": "sha256:2a831cc223d026f99e85cad80b296da15551dc7aa0e858e88e8335ba4c4cb80a", "generator_version": "3.0"}
{"id": "v3_val_00000220", "prompt": "Evaluate: -117 + 0 + (-3 - (34 / (-601) + (-79)))", "solution_steps": ["Add: -117 + 0 = -117", "Divide: 34 / (-601) = -34/601", "Add: -34/601 + (-79) = -47513/601", "Subtract: -3 - (-47513/601) = 45710/601", "Add: -117 + 45710/601 = -24607/601"], "final_answer": "-24607/601", "answer_type": "rational", "kind": "expression", "math_text": "-117 + 0 + (-3 - (34 / (-601) + (-79)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (+ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -117, \"b\": 0, \"c\": -3, \"d\": 34, \"e\": -601, \"f\": -79}", "seed": "12480747804961816339", "semantic_fingerprint": "sha256:0de85d5a4701342b837c605c8fb29f257a20619fd08dcac283e300c9c914e7fd", "generator_version": "3.0"}
{"id": "v3_val_00000221", "prompt": "Calculate: -7 - 162 + 2", "solution_steps": ["Subtract: -7 - 162 = -169", "Add: -169 + 2 = -167"], "final_answer": "-167", "answer_type": "integer", "kind": "expression", "math_text": "-7 - 162 + 2", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 162, \"c\": 2}", "seed": "14208554561842534354", "semantic_fingerprint": "sha256:4a6c43881229e2795dda7240df36167542c879afa967ac56b6e40b6db8349ffa", "generator_version": "3.0"}
{"id": "v3_val_00000222", "prompt": "What is -676 / (-5) - 8?", "solution_steps": ["Divide: -676 / (-5) = 676/5", "Subtract: 676/5 - 8 = 636/5"], "final_answer": "636/5", "answer_type": "rational", "kind": "expression", "math_text": "-676 / (-5) - 8", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -676, \"b\": -5, \"c\": 8}", "seed": "16661677304523417120", "semantic_fingerprint": "sha256:49295a2d30c0ebe1a9b01a5a0f8f30f92bf6a30e3296d924ae2e9dd68c251060", "generator_version": "3.0"}
{"id": "v3_val_00000223", "prompt": "Find x: 4x - 215 = -6(x - 56) - 711", "solution_steps": ["Expand: 4x - 215 = -6x + 336 - 711", "Combine constants: 4x - 215 = -6x - 375", "Add 6x to both sides: 10x - 215 = -375", "Add 215 to both sides: 10x = -160", "Divide both sides by 10: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 215 = -6(x - 56) - 711", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 215, \"c\": -6, \"d\": 56, \"f\": -711, \"x\": -16}", "seed": "4870154196878397088", "semantic_fingerprint": "sha256:ec50f607e6de2aab0f7700702eb912b8c8bc956838c4706a12f035b8ce9ab43a", "generator_version": "3.0"}
{"id": "v3_val_00000224", "prompt": "Compute: 25 + 31", "solution_steps": ["Add: 25 + 31 = 56"], "final_answer": "56", "answer_type": "integer", "kind": "expression", "math_text": "25 + 31", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 31}", "seed": "12535197172659675127", "semantic_fingerprint": "sha256:f7d0cffc364373279a93d448fac04a9d10e1d462d9b10721438bd7d192a4e115", "generator_version": "3.0"}
{"id": "v3_val_00000225", "prompt": "Solve for x: x - 90 = 2(x - 1) - 83", "solution_steps": ["Expand: x - 90 = 2x - 2 - 83", "Combine constants: x - 90 = 2x - 85", "Subtract 2x from both sides: -x - 90 = -85", "Add 90 to both sides: -x = 5", "Divide both sides by -1: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 90 = 2(x - 1) - 83", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 2, \"c\": 1, \"e\": -83, \"x\": -5}", "seed": "2532208973656022212", "semantic_fingerprint": "sha256:4272937f2a8869eb3b427cce673ebd2ec3c35d1f359f18b4b4cd361a47d62409", "generator_version": "3.0"}
{"id": "v3_val_00000226", "prompt": "Find x: x - 12 = 2(x - 55)", "solution_steps": ["Expand: x - 12 = 2x - 110", "Subtract 2x from both sides: -x - 12 = -110", "Add 12 to both sides: -x = -98", "Divide both sides by -1: x = 98"], "final_answer": "98", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 12 = 2(x - 55)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 55}", "seed": "1330820795654698059", "semantic_fingerprint": "sha256:e84476037c10c6d42e72485d7c925af9d32d2002da471b9239786a25cf8b4b07", "generator_version": "3.0"}
{"id": "v3_val_00000227", "prompt": "Find x: x + 422 = 8(x + 7) + 310", "solution_steps": ["Expand: x + 422 = 8x + 56 + 310", "Combine constants: x + 422 = 8x + 366", "Subtract 8x from both sides: -7x + 422 = 366", "Subtract 422 from both sides: -7x = -56", "Divide both sides by -7: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 422 = 8(x + 7) + 310", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 422, \"b\": 8, \"c\": 7, \"e\": 310, \"x\": 8}", "seed": "2247467950620401693", "semantic_fingerprint": "sha256:ec36714e87c0133934be4eed66a8a0bab9ef44097d711c11278b63b3773b4c7a", "generator_version": "3.0"}
{"id": "v3_val_00000228", "prompt": "Calculate: -6 + 21 * (-99) * (-10)", "solution_steps": ["Multiply: 21 * (-99) = -2079", "Multiply: -2079 * (-10) = 20790", "Add: -6 + 20790 = 20784"], "final_answer": "20784", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 21 * (-99) * (-10)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 21, \"c\": -99, \"d\": -10}", "seed": "10653385763371200721", "semantic_fingerprint": "sha256:d28a241c29d5fc6d22d3597555b623d502de535108d45eb5cde37c876ee8cef1", "generator_version": "3.0"}
{"id": "v3_val_00000229", "prompt": "What is 8 / (-41 + 81)?", "solution_steps": ["Add: -41 + 81 = 40", "Divide: 8 / 40 = 1/5"], "final_answer": "1/5", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-41 + 81)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -41, \"c\": 81}", "seed": "11859311836647632837", "semantic_fingerprint": "sha256:3ed16538914a5438ec8a54f9f811df880558fdae94f4e26ac3f5a63633ef308d", "generator_version": "3.0"}
{"id": "v3_val_00000230", "prompt": "Calculate: 985 - (-4) - 267 / (-168)", "solution_steps": ["Subtract: 985 - (-4) = 989", "Divide: 267 / (-168) = -89/56", "Subtract: 989 - (-89/56) = 55473/56"], "final_answer": "55473/56", "answer_type": "rational", "kind": "expression", "math_text": "985 - (-4) - 267 / (-168)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 985, \"b\": -4, \"c\": 267, \"d\": -168}", "seed": "8323693187229287749", "semantic_fingerprint": "sha256:c3e7f8921405407748b456ac1e93e69970bb0d03be1eab396baea2048e3e3251", "generator_version": "3.0"}
{"id": "v3_val_00000231", "prompt": "Evaluate: -84 * 5 / (-93)", "solution_steps": ["Multiply: -84 * 5 = -420", "Divide: -420 / (-93) = 140/31"], "final_answer": "140/31", "answer_type": "rational", "kind": "expression", "math_text": "-84 * 5 / (-93)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 5, \"c\": -93}", "seed": "5276672456621268995", "semantic_fingerprint": "sha256:980fea5b0594b2a850ec08cf98b64c4c7d8715fddb21c538d117ad78b7499c4d", "generator_version": "3.0"}
{"id": "v3_val_00000232", "prompt": "Find x: 9x - 7 = x + 81", "solution_steps": ["Subtract x from both sides: 8x - 7 = 81", "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": "9x - 7 = x + 81", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"d\": 81, \"x\": 11}", "seed": "10627139274670022959", "semantic_fingerprint": "sha256:85a0a128cf35c140b6f072f7a7e84b43c1f141c5764b478a40fd1c8d7c3c67ae", "generator_version": "3.0"}
{"id": "v3_val_00000233", "prompt": "What value of x satisfies 11(x + 73) + 91 = 762?", "solution_steps": ["Expand: 11x + 803 + 91 = 762", "Combine constants: 11x + 894 = 762", "Subtract 894 from both sides: 11x = -132", "Divide both sides by 11: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 73) + 91 = 762", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 73, \"c\": 91, \"e\": 762, \"x\": -12}", "seed": "3546733276199593133", "semantic_fingerprint": "sha256:63de0941554ee69975efc72999fa3b0c380781ad4a4d31392db1840bcbfc8cce", "generator_version": "3.0"}
{"id": "v3_val_00000234", "prompt": "Calculate: (86 + (-582)) / (-70)", "solution_steps": ["Add: 86 + (-582) = -496", "Divide: -496 / (-70) = 248/35"], "final_answer": "248/35", "answer_type": "rational", "kind": "expression", "math_text": "(86 + (-582)) / (-70)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -582, \"c\": -70}", "seed": "10088586452453844590", "semantic_fingerprint": "sha256:927881ffd846b3b4bf13c8c8a4b01e957db5424fc99ec164394841e0d2df01da", "generator_version": "3.0"}
{"id": "v3_val_00000235", "prompt": "Calculate: 7 - (-5) + 2 * (704 * (-6))", "solution_steps": ["Subtract: 7 - (-5) = 12", "Multiply: 704 * (-6) = -4224", "Multiply: 2 * (-4224) = -8448", "Add: 12 + (-8448) = -8436"], "final_answer": "-8436", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-5) + 2 * (704 * (-6))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -5, \"c\": 2, \"d\": 704, \"e\": -6}", "seed": "5301649191461750491", "semantic_fingerprint": "sha256:354fc4362e71f18190875413b308313248125272f605de6491bb2211f584a717", "generator_version": "3.0"}
{"id": "v3_val_00000236", "prompt": "Compute: -4 / (-58)", "solution_steps": ["Divide: -4 / (-58) = 2/29"], "final_answer": "2/29", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-58)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -58}", "seed": "6387169757713217330", "semantic_fingerprint": "sha256:05f71dfb97f330c943c9aab7a9e65bba4c1979bb2beb8592e61c723e08f33b14", "generator_version": "3.0"}
{"id": "v3_val_00000237", "prompt": "Find x: 6(x + 8) - 64 = 2(x - 19) - 30", "solution_steps": ["Expand: 6x + 48 - 64 = 2(x - 19) - 30", "Expand: 6x + 48 - 64 = 2x - 38 - 30", "Combine constants: 6x - 16 = 2x - 38 - 30", "Combine constants: 6x - 16 = 2x - 68", "Subtract 2x from both sides: 4x - 16 = -68", "Add 16 to both sides: 4x = -52", "Divide both sides by 4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 8) - 64 = 2(x - 19) - 30", "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\": 64, \"d\": 2, \"e\": 19, \"g\": -30, \"x\": -13}", "seed": "17505514962657420008", "semantic_fingerprint": "sha256:bb6c1dcd1ac32686d20ea4079bd6afc49be1452e34185997ce6dfb7ce4e171f7", "generator_version": "3.0"}
{"id": "v3_val_00000238", "prompt": "What is 6 + 7 * 21?", "solution_steps": ["Multiply: 7 * 21 = 147", "Add: 6 + 147 = 153"], "final_answer": "153", "answer_type": "integer", "kind": "expression", "math_text": "6 + 7 * 21", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 21}", "seed": "3427556776921025367", "semantic_fingerprint": "sha256:368d382a304ed881be2ce4c9906724bca8f47f4e59f5413f34cf2abea94e970b", "generator_version": "3.0"}
{"id": "v3_val_00000239", "prompt": "Evaluate: 5 - (-42) / (-457)", "solution_steps": ["Divide: -42 / (-457) = 42/457", "Subtract: 5 - 42/457 = 2243/457"], "final_answer": "2243/457", "answer_type": "rational", "kind": "expression", "math_text": "5 - (-42) / (-457)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -42, \"c\": -457}", "seed": "3049541135776275464", "semantic_fingerprint": "sha256:27ea73eb435f3a5304b83d38b1cf1e67110813539175c5cd738b585c2412c229", "generator_version": "3.0"}
{"id": "v3_val_00000240", "prompt": "What is -263 * 785 / 58?", "solution_steps": ["Multiply: -263 * 785 = -206455", "Divide: -206455 / 58 = -206455/58"], "final_answer": "-206455/58", "answer_type": "rational", "kind": "expression", "math_text": "-263 * 785 / 58", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -263, \"b\": 785, \"c\": 58}", "seed": "12735542332663363576", "semantic_fingerprint": "sha256:a6b136ec812d8707835237ff7d05e28cf67ca18f16a74f7667b759756ae12b2c", "generator_version": "3.0"}
{"id": "v3_val_00000241", "prompt": "Calculate: -53 + 0 * 769", "solution_steps": ["Multiply: 0 * 769 = 0", "Add: -53 + 0 = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "expression", "math_text": "-53 + 0 * 769", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 0, \"c\": 769}", "seed": "3695853196677543303", "semantic_fingerprint": "sha256:34fbd92f2c6e321cf112c5d66c3ca279f8c0663995d4cedfee194cea36cea13e", "generator_version": "3.0"}
{"id": "v3_val_00000242", "prompt": "Evaluate: 43 + (-6) / (-634 * 26)", "solution_steps": ["Multiply: -634 * 26 = -16484", "Divide: -6 / (-16484) = 3/8242", "Add: 43 + 3/8242 = 354409/8242"], "final_answer": "354409/8242", "answer_type": "rational", "kind": "expression", "math_text": "43 + (-6) / (-634 * 26)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -6, \"c\": -634, \"d\": 26}", "seed": "9999495255406194672", "semantic_fingerprint": "sha256:16d9fd2131923d5b6f05b2d4b2f65b46f6f49fcabe1774c0d6109d59c2321775", "generator_version": "3.0"}
{"id": "v3_val_00000243", "prompt": "Calculate: 67 * (-8)", "solution_steps": ["Multiply: 67 * (-8) = -536"], "final_answer": "-536", "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": "938984916390468399", "semantic_fingerprint": "sha256:33403a96ebbad80b6c7981e3ed725071cdef14a8a201aa6df5f9c4b825b0ca0b", "generator_version": "3.0"}
{"id": "v3_val_00000244", "prompt": "What is -918 + (-3 + 8 + (-56))?", "solution_steps": ["Add: -3 + 8 = 5", "Add: 5 + (-56) = -51", "Add: -918 + (-51) = -969"], "final_answer": "-969", "answer_type": "integer", "kind": "expression", "math_text": "-918 + (-3 + 8 + (-56))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -918, \"b\": -3, \"c\": 8, \"d\": -56}", "seed": "764836507067934517", "semantic_fingerprint": "sha256:1b35f76b18fb851a065d947356ded73bc6710d7afd68f6da787e32a14c82e0e8", "generator_version": "3.0"}
{"id": "v3_val_00000245", "prompt": "Calculate: 169 / 63 * ((30 - (-43)) / (-46))", "solution_steps": ["Divide: 169 / 63 = 169/63", "Subtract: 30 - (-43) = 73", "Divide: 73 / (-46) = -73/46", "Multiply: (169/63) * (-73/46) = -12337/2898"], "final_answer": "-12337/2898", "answer_type": "rational", "kind": "expression", "math_text": "169 / 63 * ((30 - (-43)) / (-46))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 169, \"b\": 63, \"c\": 30, \"d\": -43, \"e\": -46}", "seed": "9519697466719345903", "semantic_fingerprint": "sha256:0eab05865927e4797aa656b94cae4c08a1b671bc7d3b2dea2bf7d31b3a1ad505", "generator_version": "3.0"}
{"id": "v3_val_00000246", "prompt": "Find x: 8x + 7 = -10x - 335", "solution_steps": ["Add 10x to both sides: 18x + 7 = -335", "Subtract 7 from both sides: 18x = -342", "Divide both sides by 18: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 7 = -10x - 335", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": -10, \"e\": -335, \"x\": -19}", "seed": "9637640002624500145", "semantic_fingerprint": "sha256:5e7ac137f75f6725acae69f17fcfba29d9b39df826febe2cffa926690539d168", "generator_version": "3.0"}
{"id": "v3_val_00000247", "prompt": "What value of x satisfies 8x - 94 = 3(x - 837) + 92?", "solution_steps": ["Expand: 8x - 94 = 3x - 2511 + 92", "Combine constants: 8x - 94 = 3x - 2419", "Subtract 3x from both sides: 5x - 94 = -2419", "Add 94 to both sides: 5x = -2325", "Divide both sides by 5: x = -465"], "final_answer": "-465", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 94 = 3(x - 837) + 92", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 94, \"c\": 3, \"d\": 837, \"e\": 92}", "seed": "1150897012114597350", "semantic_fingerprint": "sha256:e926e2bb738ed15b73fd9c2ada01a6dd353869711784e2c8a4f5108350a3fea1", "generator_version": "3.0"}
{"id": "v3_val_00000248", "prompt": "Compute: 4 * (-3) * 25 + (-9 + (-5)) + 0", "solution_steps": ["Multiply: 4 * (-3) = -12", "Multiply: -12 * 25 = -300", "Add: -9 + (-5) = -14", "Add: -300 + (-14) = -314", "Add: -314 + 0 = -314"], "final_answer": "-314", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-3) * 25 + (-9 + (-5)) + 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\": 25, \"d\": -9, \"e\": -5, \"f\": 0}", "seed": "16014901723860708781", "semantic_fingerprint": "sha256:0aa5d4fb9d7e247a002af2c5eebdb3b7ce1300760b2f1a4ebf1ef21a6929f6c9", "generator_version": "3.0"}
{"id": "v3_val_00000249", "prompt": "Solve for x: 9x + 33 = 1", "solution_steps": ["Subtract 33 from both sides: 9x = -32", "Divide both sides by 9: x = -32/9"], "final_answer": "-32/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x + 33 = 1", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 33, \"c\": 1}", "seed": "15296667335066938352", "semantic_fingerprint": "sha256:5d1b05a5d27f97bb3e2050b2865cdba8bcb43eb55904dd4a47caef6c375c515c", "generator_version": "3.0"}
{"id": "v3_val_00000250", "prompt": "What value of x satisfies x = -4(x + 58)?", "solution_steps": ["Expand: x = -4x - 232", "Add 4x to both sides: 5x = -232", "Divide both sides by 5: x = -232/5"], "final_answer": "-232/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -4(x + 58)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 58}", "seed": "860027688551260131", "semantic_fingerprint": "sha256:40ea0fd14789ec7ac6e9d3ee390e92e17e76fced341dad310230360abc6de97f", "generator_version": "3.0"}
{"id": "v3_val_00000251", "prompt": "Calculate: 98 / (-73) * (-49)", "solution_steps": ["Divide: 98 / (-73) = -98/73", "Multiply: (-98/73) * (-49) = 4802/73"], "final_answer": "4802/73", "answer_type": "rational", "kind": "expression", "math_text": "98 / (-73) * (-49)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -73, \"c\": -49}", "seed": "14011955593182156249", "semantic_fingerprint": "sha256:e39e1120272a45e084f4a58143ed9289cd865390c2178072874f6418810ad2e1", "generator_version": "3.0"}
{"id": "v3_val_00000252", "prompt": "Solve the equation 3(x - 573) = -5(x - 73) + 12 for x.", "solution_steps": ["Expand: 3x - 1719 = -5(x - 73) + 12", "Expand: 3x - 1719 = -5x + 365 + 12", "Combine constants: 3x - 1719 = -5x + 377", "Add 5x to both sides: 8x - 1719 = 377", "Add 1719 to both sides: 8x = 2096", "Divide both sides by 8: x = 262"], "final_answer": "262", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 573) = -5(x - 73) + 12", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 573, \"c\": -5, \"d\": 73, \"e\": 12}", "seed": "1028634780850187326", "semantic_fingerprint": "sha256:9348e323177ebc70c3ff982773a52b6619c409256e232b72e57d82f7d3856e77", "generator_version": "3.0"}
{"id": "v3_val_00000253", "prompt": "What value of x satisfies x - 2 = 3(x - 2) - 810?", "solution_steps": ["Expand: x - 2 = 3x - 6 - 810", "Combine constants: x - 2 = 3x - 816", "Subtract 3x from both sides: -2x - 2 = -816", "Add 2 to both sides: -2x = -814", "Divide both sides by -2: x = 407"], "final_answer": "407", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 3(x - 2) - 810", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 2, \"d\": 810}", "seed": "6865376189811512666", "semantic_fingerprint": "sha256:5f1bff0d554a0cfb15f59c284c6a80d588ff9d83b7ea16a858f848966b92ff79", "generator_version": "3.0"}
{"id": "v3_val_00000254", "prompt": "Solve for x: x + 58 = -8x", "solution_steps": ["Add 8x to both sides: 9x + 58 = 0", "Subtract 58 from both sides: 9x = -58", "Divide both sides by 9: x = -58/9"], "final_answer": "-58/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 58 = -8x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -8}", "seed": "11764255149103723285", "semantic_fingerprint": "sha256:ecda25b80bb7ec306d1b497096caca591cbc16756d9a623adb9d47ffdfc9e212", "generator_version": "3.0"}
{"id": "v3_val_00000255", "prompt": "Find x: 2(x + 752) - 4 = -7(x - 222) - 49", "solution_steps": ["Expand: 2x + 1504 - 4 = -7(x - 222) - 49", "Expand: 2x + 1504 - 4 = -7x + 1554 - 49", "Combine constants: 2x + 1500 = -7x + 1554 - 49", "Combine constants: 2x + 1500 = -7x + 1505", "Add 7x to both sides: 9x + 1500 = 1505", "Subtract 1500 from both sides: 9x = 5", "Divide both sides by 9: x = 5/9"], "final_answer": "5/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 752) - 4 = -7(x - 222) - 49", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 752, \"c\": 4, \"d\": -7, \"e\": 222, \"f\": 49}", "seed": "17063181681813876412", "semantic_fingerprint": "sha256:62e8d0aeb9d040399320b8c922c03832d7831c0bf7e359d8539237242d242809", "generator_version": "3.0"}
{"id": "v3_val_00000256", "prompt": "Calculate: -45 - (-55 + (-936) + 6)", "solution_steps": ["Add: -55 + (-936) = -991", "Add: -991 + 6 = -985", "Subtract: -45 - (-985) = 940"], "final_answer": "940", "answer_type": "integer", "kind": "expression", "math_text": "-45 - (-55 + (-936) + 6)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -55, \"c\": -936, \"d\": 6}", "seed": "7094131888515576294", "semantic_fingerprint": "sha256:18575306dff2460bee0b996244a3958eadea18b811e4bf03df1875d847fa23a4", "generator_version": "3.0"}
{"id": "v3_val_00000257", "prompt": "What is (-475 / 7 + (-4 - (-9))) * (-49 + 7)?", "solution_steps": ["Divide: -475 / 7 = -475/7", "Subtract: -4 - (-9) = 5", "Add: -475/7 + 5 = -440/7", "Add: -49 + 7 = -42", "Multiply: (-440/7) * (-42) = 2640"], "final_answer": "2640", "answer_type": "integer", "kind": "expression", "math_text": "(-475 / 7 + (-4 - (-9))) * (-49 + 7)", "variable": null, "family": "expression_5op", "shape": "(* (+ (/ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -475, \"b\": 7, \"c\": -4, \"d\": -9, \"e\": -49, \"f\": 7}", "seed": "18372441766260880579", "semantic_fingerprint": "sha256:3f5d1353d9eb6c276ba8d6e8503209787a713497518fa45054bd39a7a4f63cce", "generator_version": "3.0"}
{"id": "v3_val_00000258", "prompt": "Calculate: (-9 - (-8)) * (-42 + (-6) + 2)", "solution_steps": ["Subtract: -9 - (-8) = -1", "Add: -42 + (-6) = -48", "Add: -48 + 2 = -46", "Multiply: -1 * (-46) = 46"], "final_answer": "46", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - (-8)) * (-42 + (-6) + 2)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -8, \"c\": -42, \"d\": -6, \"e\": 2}", "seed": "2321813142732436305", "semantic_fingerprint": "sha256:cefbc31759acfebf950458e25abc588e7576f51af37287b06d126a194681dd63", "generator_version": "3.0"}
{"id": "v3_val_00000259", "prompt": "Evaluate: -584 * (-7 * 7 + 239)", "solution_steps": ["Multiply: -7 * 7 = -49", "Add: -49 + 239 = 190", "Multiply: -584 * 190 = -110960"], "final_answer": "-110960", "answer_type": "integer", "kind": "expression", "math_text": "-584 * (-7 * 7 + 239)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -584, \"b\": -7, \"c\": 7, \"d\": 239}", "seed": "13080734397026425489", "semantic_fingerprint": "sha256:889ea4ff250bb46f40d59241db1439d719b261dde82832430b7923e31be86956", "generator_version": "3.0"}
{"id": "v3_val_00000260", "prompt": "Solve the equation x = 11(x + 9) for x.", "solution_steps": ["Expand: x = 11x + 99", "Subtract 11x from both sides: -10x = 99", "Divide both sides by -10: x = -99/10"], "final_answer": "-99/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11(x + 9)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9}", "seed": "7860960979750023286", "semantic_fingerprint": "sha256:0323619445e594fdaf03a3b4aa8db40d20bc538c2790137bc917c45759b48846", "generator_version": "3.0"}
{"id": "v3_val_00000261", "prompt": "Solve the equation 5(x + 9) - 7 = 43 for x.", "solution_steps": ["Expand: 5x + 45 - 7 = 43", "Combine constants: 5x + 38 = 43", "Subtract 38 from both sides: 5x = 5", "Divide both sides by 5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 9) - 7 = 43", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 7, \"e\": 43, \"x\": 1}", "seed": "3465862055920174139", "semantic_fingerprint": "sha256:bfacb939a96bb1130564633f95f5984f43a51e16a62d620231cb63b26696958c", "generator_version": "3.0"}
{"id": "v3_val_00000262", "prompt": "Compute: -6 / (-48 * 18 - 31)", "solution_steps": ["Multiply: -48 * 18 = -864", "Subtract: -864 - 31 = -895", "Divide: -6 / (-895) = 6/895"], "final_answer": "6/895", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-48 * 18 - 31)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -48, \"c\": 18, \"d\": 31}", "seed": "2441868777386594441", "semantic_fingerprint": "sha256:7fefc68a7649966aefc78a3be113a84e0dd944fb6d54ea066bcd3adfadb44c6b", "generator_version": "3.0"}
{"id": "v3_val_00000263", "prompt": "Find x: 11x - 4 = x + 928", "solution_steps": ["Subtract x from both sides: 10x - 4 = 928", "Add 4 to both sides: 10x = 932", "Divide both sides by 10: x = 466/5"], "final_answer": "466/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 4 = x + 928", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 928}", "seed": "13718922642481749439", "semantic_fingerprint": "sha256:50c01042fea3a2a0f50da634c10b269b3bdf486a3f409c0b733686280384f938", "generator_version": "3.0"}
{"id": "v3_val_00000264", "prompt": "What value of x satisfies -6(x + 590) = x - 340?", "solution_steps": ["Expand: -6x - 3540 = x - 340", "Subtract x from both sides: -7x - 3540 = -340", "Add 3540 to both sides: -7x = 3200", "Divide both sides by -7: x = -3200/7"], "final_answer": "-3200/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 590) = x - 340", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 590, \"c\": 340}", "seed": "3795777469273577646", "semantic_fingerprint": "sha256:319823c7de5c73485c1d5bbb08bdcdafc389de634ad597028024f1fbf7e8c55b", "generator_version": "3.0"}
{"id": "v3_val_00000265", "prompt": "Evaluate: 65 - (20 + 6)", "solution_steps": ["Add: 20 + 6 = 26", "Subtract: 65 - 26 = 39"], "final_answer": "39", "answer_type": "integer", "kind": "expression", "math_text": "65 - (20 + 6)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 20, \"c\": 6}", "seed": "10901829275735751439", "semantic_fingerprint": "sha256:29be407c0614013d14cf62f17f9f0f8954871f03998d660c004d1f78b260aad6", "generator_version": "3.0"}
{"id": "v3_val_00000266", "prompt": "Calculate: -16 + (-1 - (-17) + 123) - (43 + 74)", "solution_steps": ["Subtract: -1 - (-17) = 16", "Add: 16 + 123 = 139", "Add: -16 + 139 = 123", "Add: 43 + 74 = 117", "Subtract: 123 - 117 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "-16 + (-1 - (-17) + 123) - (43 + 74)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -1, \"c\": -17, \"d\": 123, \"e\": 43, \"f\": 74}", "seed": "11401679741098784791", "semantic_fingerprint": "sha256:6d2f7d319007238295e5a0e51f82056321258835a0145ec2ee1d2456a5483823", "generator_version": "3.0"}
{"id": "v3_val_00000267", "prompt": "What is 53 / (-843)?", "solution_steps": ["Divide: 53 / (-843) = -53/843"], "final_answer": "-53/843", "answer_type": "rational", "kind": "expression", "math_text": "53 / (-843)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -843}", "seed": "17377186526097553967", "semantic_fingerprint": "sha256:bd88e7d53a5febf0114ed88472ebf055120c90d2ece89a57fa8cd9e00318c205", "generator_version": "3.0"}
{"id": "v3_val_00000268", "prompt": "Solve the equation -4(x + 48) = x - 207 for x.", "solution_steps": ["Expand: -4x - 192 = x - 207", "Subtract x from both sides: -5x - 192 = -207", "Add 192 to both sides: -5x = -15", "Divide both sides by -5: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 48) = x - 207", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 48, \"d\": -207, \"x\": 3}", "seed": "13760932899215641366", "semantic_fingerprint": "sha256:2f194f56443354bbad99f07f1bbd90f3a770640154c6b1edcdb6f169e639e870", "generator_version": "3.0"}
{"id": "v3_val_00000269", "prompt": "What value of x satisfies 7x + 34 = -10x?", "solution_steps": ["Add 10x to both sides: 17x + 34 = 0", "Subtract 34 from both sides: 17x = -34", "Divide both sides by 17: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 34 = -10x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -10, \"d\": 34, \"x\": -2}", "seed": "1504450662142533161", "semantic_fingerprint": "sha256:ae9a216b845edf83ff6ed98073973e62cb9c9295d4f89f45263226773f40225f", "generator_version": "3.0"}
{"id": "v3_val_00000270", "prompt": "Compute: 22 / (8 * 9) - (-3) * (-10)", "solution_steps": ["Multiply: 8 * 9 = 72", "Divide: 22 / 72 = 11/36", "Multiply: -3 * (-10) = 30", "Subtract: 11/36 - 30 = -1069/36"], "final_answer": "-1069/36", "answer_type": "rational", "kind": "expression", "math_text": "22 / (8 * 9) - (-3) * (-10)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 8, \"c\": 9, \"d\": -3, \"e\": -10}", "seed": "3713990093223980823", "semantic_fingerprint": "sha256:3b74d5e222fdb146c5092010678eedae863bbff5446fdd2bf4234591064c316e", "generator_version": "3.0"}
{"id": "v3_val_00000271", "prompt": "Calculate: 7 * (-479) - 42 + 97 - 97", "solution_steps": ["Multiply: 7 * (-479) = -3353", "Subtract: -3353 - 42 = -3395", "Add: -3395 + 97 = -3298", "Subtract: -3298 - 97 = -3395"], "final_answer": "-3395", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-479) - 42 + 97 - 97", "variable": null, "family": "expression_4op", "shape": "(- (+ (- (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -479, \"c\": 42, \"d\": 97, \"e\": 97}", "seed": "5593142312147095337", "semantic_fingerprint": "sha256:fd04bce88b54910f41cc20c373f269b19b802afccde7571703ea9a1c4876a0f3", "generator_version": "3.0"}
{"id": "v3_val_00000272", "prompt": "Calculate: (-5 + (-3)) * (-107 * (0 / 25 - (-94)))", "solution_steps": ["Add: -5 + (-3) = -8", "Divide: 0 / 25 = 0", "Subtract: 0 - (-94) = 94", "Multiply: -107 * 94 = -10058", "Multiply: -8 * (-10058) = 80464"], "final_answer": "80464", "answer_type": "integer", "kind": "expression", "math_text": "(-5 + (-3)) * (-107 * (0 / 25 - (-94)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (* n (- (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -3, \"c\": -107, \"d\": 0, \"e\": 25, \"f\": -94}", "seed": "15723810041514543266", "semantic_fingerprint": "sha256:345e4e9b483a62b231b47fbff4fe4db0cd2f8e6a8f406fc58ecd9ad485008215", "generator_version": "3.0"}
{"id": "v3_val_00000273", "prompt": "Evaluate: 2 * (-9) + (-8) / 1 / 3", "solution_steps": ["Multiply: 2 * (-9) = -18", "Divide: -8 / 1 = -8", "Divide: -8 / 3 = -8/3", "Add: -18 + (-8/3) = -62/3"], "final_answer": "-62/3", "answer_type": "rational", "kind": "expression", "math_text": "2 * (-9) + (-8) / 1 / 3", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -9, \"c\": -8, \"d\": 1, \"e\": 3}", "seed": "7288706852768354655", "semantic_fingerprint": "sha256:22cb16de6e9b74aa0f30bc5d82e0ebd9d00d420f3bd79fd60c669c94dd16425a", "generator_version": "3.0"}
{"id": "v3_val_00000274", "prompt": "Solve the equation 12(x + 4) = -8(x - 90) for x.", "solution_steps": ["Expand: 12x + 48 = -8(x - 90)", "Expand: 12x + 48 = -8x + 720", "Add 8x to both sides: 20x + 48 = 720", "Subtract 48 from both sides: 20x = 672", "Divide both sides by 20: x = 168/5"], "final_answer": "168/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 4) = -8(x - 90)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": -8, \"d\": 90}", "seed": "14182027337789219321", "semantic_fingerprint": "sha256:040a6b4b425a3663d0dd566cd89e047458138dd648639522e6b2a7506c866220", "generator_version": "3.0"}
{"id": "v3_val_00000275", "prompt": "Solve the equation 8x + 508 = -2(x - 9) + 550 for x.", "solution_steps": ["Expand: 8x + 508 = -2x + 18 + 550", "Combine constants: 8x + 508 = -2x + 568", "Add 2x to both sides: 10x + 508 = 568", "Subtract 508 from both sides: 10x = 60", "Divide both sides by 10: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 508 = -2(x - 9) + 550", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 508, \"c\": -2, \"d\": 9, \"f\": 550, \"x\": 6}", "seed": "5604520665092071257", "semantic_fingerprint": "sha256:518898acb620bcc1ca03d72dcff83dee33246bc0b7bd916ca5c6f8d03e6ed986", "generator_version": "3.0"}
{"id": "v3_val_00000276", "prompt": "Calculate: -57 / 76 * (-655 - (-73))", "solution_steps": ["Divide: -57 / 76 = -3/4", "Subtract: -655 - (-73) = -582", "Multiply: (-3/4) * (-582) = 873/2"], "final_answer": "873/2", "answer_type": "rational", "kind": "expression", "math_text": "-57 / 76 * (-655 - (-73))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 76, \"c\": -655, \"d\": -73}", "seed": "13183519228452928771", "semantic_fingerprint": "sha256:dc48c8d433d5dc850337c9b6445a11fce787d79dbfc860effd600f5a79caf6ff", "generator_version": "3.0"}
{"id": "v3_val_00000277", "prompt": "Calculate: -46 / (-2 * (0 + (-8) * (14 - 330)))", "solution_steps": ["Subtract: 14 - 330 = -316", "Multiply: -8 * (-316) = 2528", "Add: 0 + 2528 = 2528", "Multiply: -2 * 2528 = -5056", "Divide: -46 / (-5056) = 23/2528"], "final_answer": "23/2528", "answer_type": "rational", "kind": "expression", "math_text": "-46 / (-2 * (0 + (-8) * (14 - 330)))", "variable": null, "family": "expression_5op", "shape": "(/ n (* n (+ n (* n (- n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -2, \"c\": 0, \"d\": -8, \"e\": 14, \"f\": 330}", "seed": "7015861516448888393", "semantic_fingerprint": "sha256:05b33e61af510be7624ccbadf8c0c7db270eff1e5abee7acfb5e35c4f16732bb", "generator_version": "3.0"}
{"id": "v3_val_00000278", "prompt": "Evaluate: -549 * 831 - (-343)", "solution_steps": ["Multiply: -549 * 831 = -456219", "Subtract: -456219 - (-343) = -455876"], "final_answer": "-455876", "answer_type": "integer", "kind": "expression", "math_text": "-549 * 831 - (-343)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -549, \"b\": 831, \"c\": -343}", "seed": "16754765163441028230", "semantic_fingerprint": "sha256:32571e8559e06f2df6c4e09010393d68e4709b0d8f84156b17013b1bc1af1bad", "generator_version": "3.0"}
{"id": "v3_val_00000279", "prompt": "What is -20 / 8 * (491 / 41) / (0 - (-9))?", "solution_steps": ["Divide: -20 / 8 = -5/2", "Divide: 491 / 41 = 491/41", "Multiply: (-5/2) * (491/41) = -2455/82", "Subtract: 0 - (-9) = 9", "Divide: (-2455/82) / 9 = -2455/738"], "final_answer": "-2455/738", "answer_type": "rational", "kind": "expression", "math_text": "-20 / 8 * (491 / 41) / (0 - (-9))", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n n) (/ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 8, \"c\": 491, \"d\": 41, \"e\": 0, \"f\": -9}", "seed": "6617117430950933252", "semantic_fingerprint": "sha256:adb60f2e35cc1ac2795d3b77a80bd2db300c14214e7e46f6d05fe4648ceda871", "generator_version": "3.0"}
{"id": "v3_val_00000280", "prompt": "Calculate: 803 * (-80) * 0 * 9", "solution_steps": ["Multiply: 803 * (-80) = -64240", "Multiply: -64240 * 0 = 0", "Multiply: 0 * 9 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "803 * (-80) * 0 * 9", "variable": null, "family": "expression_3op", "shape": "(* (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 803, \"b\": -80, \"c\": 0, \"d\": 9}", "seed": "18344953773432048114", "semantic_fingerprint": "sha256:03db54cf9ce38aa68df78b261180383d238bc1801c5f1aa41381d51bd423559e", "generator_version": "3.0"}
{"id": "v3_val_00000281", "prompt": "Find x: 4(x - 67) = x - 262", "solution_steps": ["Expand: 4x - 268 = x - 262", "Subtract x from both sides: 3x - 268 = -262", "Add 268 to both sides: 3x = 6", "Divide both sides by 3: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 67) = x - 262", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 67, \"d\": -262, \"x\": 2}", "seed": "9055821129324966056", "semantic_fingerprint": "sha256:3b3027e360dbf0743d7dc20a442a6ce2ab56ca6e592e031e00c203c1df9bb62d", "generator_version": "3.0"}
{"id": "v3_val_00000282", "prompt": "Find x: 2(x + 739) = 6(x + 7) + 19", "solution_steps": ["Expand: 2x + 1478 = 6(x + 7) + 19", "Expand: 2x + 1478 = 6x + 42 + 19", "Combine constants: 2x + 1478 = 6x + 61", "Subtract 6x from both sides: -4x + 1478 = 61", "Subtract 1478 from both sides: -4x = -1417", "Divide both sides by -4: x = 1417/4"], "final_answer": "1417/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 739) = 6(x + 7) + 19", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 739, \"c\": 6, \"d\": 7, \"e\": 19}", "seed": "9506264962728639925", "semantic_fingerprint": "sha256:f87cfde716c9aa5756fc833c5bbb9aa2b125b440dda59f535c66e75a41b63f9c", "generator_version": "3.0"}
{"id": "v3_val_00000283", "prompt": "Solve for x: 12(x + 23) - 875 = -26", "solution_steps": ["Expand: 12x + 276 - 875 = -26", "Combine constants: 12x - 599 = -26", "Add 599 to both sides: 12x = 573", "Divide both sides by 12: x = 191/4"], "final_answer": "191/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 23) - 875 = -26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 23, \"c\": 875, \"d\": -26}", "seed": "4838620242314530359", "semantic_fingerprint": "sha256:17f3eb939913729d3dabef765fd7ab7b0d7c630d9ea1bd7ad41dab87da351f1e", "generator_version": "3.0"}
{"id": "v3_val_00000284", "prompt": "Solve the equation x = 3x - 83 for x.", "solution_steps": ["Subtract 3x from both sides: -2x = -83", "Divide both sides by -2: x = 83/2"], "final_answer": "83/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 3x - 83", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 83}", "seed": "15835276944990536099", "semantic_fingerprint": "sha256:c9fb1a1e6e014b331cb5c303c390954f37fc5baa9da83e65520ef9c89cc7645e", "generator_version": "3.0"}
{"id": "v3_val_00000285", "prompt": "Find x: -6(x + 6) - 4 = 4(x - 47) + 29", "solution_steps": ["Expand: -6x - 36 - 4 = 4(x - 47) + 29", "Expand: -6x - 36 - 4 = 4x - 188 + 29", "Combine constants: -6x - 40 = 4x - 188 + 29", "Combine constants: -6x - 40 = 4x - 159", "Subtract 4x from both sides: -10x - 40 = -159", "Add 40 to both sides: -10x = -119", "Divide both sides by -10: x = 119/10"], "final_answer": "119/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 6) - 4 = 4(x - 47) + 29", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 4, \"d\": 4, \"e\": 47, \"f\": 29}", "seed": "11269654746958106536", "semantic_fingerprint": "sha256:69cbdbb56c9b6d59dfadfa3427c4d06c97fb15520baee7aedfbfcb8fa2a26b35", "generator_version": "3.0"}
{"id": "v3_val_00000286", "prompt": "Calculate: 1 / 8 / (-5)", "solution_steps": ["Divide: 1 / 8 = 1/8", "Divide: (1/8) / (-5) = -1/40"], "final_answer": "-1/40", "answer_type": "rational", "kind": "expression", "math_text": "1 / 8 / (-5)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 8, \"c\": -5}", "seed": "15537858239591915672", "semantic_fingerprint": "sha256:7773415c4c7561394eaf6586b6c1d1ba802b22e66c289a31c7c56cbf2052ea5a", "generator_version": "3.0"}
{"id": "v3_val_00000287", "prompt": "What value of x satisfies x + 3 = -7(x - 2) + 101?", "solution_steps": ["Expand: x + 3 = -7x + 14 + 101", "Combine constants: x + 3 = -7x + 115", "Add 7x to both sides: 8x + 3 = 115", "Subtract 3 from both sides: 8x = 112", "Divide both sides by 8: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = -7(x - 2) + 101", "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\": 101, \"x\": 14}", "seed": "15453619518052571460", "semantic_fingerprint": "sha256:c3554a8e54d3f46d097aa7d744bc0e2bcd79b8065449ef45769d428fad647eba", "generator_version": "3.0"}
{"id": "v3_val_00000288", "prompt": "Find x: 8x + 5 = -10(x + 226)", "solution_steps": ["Expand: 8x + 5 = -10x - 2260", "Add 10x to both sides: 18x + 5 = -2260", "Subtract 5 from both sides: 18x = -2265", "Divide both sides by 18: x = -755/6"], "final_answer": "-755/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x + 5 = -10(x + 226)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": -10, \"d\": 226}", "seed": "12446592440154504564", "semantic_fingerprint": "sha256:cdf2526323125c42d28be49894d47e3f03d26e8904af77624bfad390d781a8c9", "generator_version": "3.0"}
{"id": "v3_val_00000289", "prompt": "Solve the equation x = 8x - 28 for x.", "solution_steps": ["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 = 8x - 28", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": -28, \"x\": 4}", "seed": "11421923319912980344", "semantic_fingerprint": "sha256:e3627bc90462c9de27ee373c7d056ab8062ad8df9c15d7b777ca305685d70ae2", "generator_version": "3.0"}
{"id": "v3_val_00000290", "prompt": "Calculate: 4 / (-15 + 184 + (-9))", "solution_steps": ["Add: -15 + 184 = 169", "Add: 169 + (-9) = 160", "Divide: 4 / 160 = 1/40"], "final_answer": "1/40", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-15 + 184 + (-9))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -15, \"c\": 184, \"d\": -9}", "seed": "15544250909471827429", "semantic_fingerprint": "sha256:c5f4e2a534347d1896fd65e1096fe92064798ab28784684a26a8db51b5443840", "generator_version": "3.0"}
{"id": "v3_val_00000291", "prompt": "Compute: 840 - (-1 + (-59)) * 4", "solution_steps": ["Add: -1 + (-59) = -60", "Multiply: -60 * 4 = -240", "Subtract: 840 - (-240) = 1080"], "final_answer": "1080", "answer_type": "integer", "kind": "expression", "math_text": "840 - (-1 + (-59)) * 4", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 840, \"b\": -1, \"c\": -59, \"d\": 4}", "seed": "883303330264846517", "semantic_fingerprint": "sha256:4e2eaa3cda4723f9da8eb6dae33f1152bd073aa6cae8be7367c999414edb0d14", "generator_version": "3.0"}
{"id": "v3_val_00000292", "prompt": "Solve the equation x - 143 = 12x for x.", "solution_steps": ["Subtract 12x 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": "x - 143 = 12x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -143, \"x\": -13}", "seed": "14935931718548899678", "semantic_fingerprint": "sha256:2a60843e3e89c4b321d2e46b0c1a2a2e3f4940150fbaa4f9624f8108baa5c712", "generator_version": "3.0"}
{"id": "v3_val_00000293", "prompt": "Calculate: -16 + (45 + 42)", "solution_steps": ["Add: 45 + 42 = 87", "Add: -16 + 87 = 71"], "final_answer": "71", "answer_type": "integer", "kind": "expression", "math_text": "-16 + (45 + 42)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 45, \"c\": 42}", "seed": "16717259681767513867", "semantic_fingerprint": "sha256:f65b91bc54b05004fe534cc4e1cf5030378b2179efdda1c4bdf6844478a1b3a4", "generator_version": "3.0"}
{"id": "v3_val_00000294", "prompt": "Compute: -404 * (-83)", "solution_steps": ["Multiply: -404 * (-83) = 33532"], "final_answer": "33532", "answer_type": "integer", "kind": "expression", "math_text": "-404 * (-83)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -404, \"b\": -83}", "seed": "11941456263383523469", "semantic_fingerprint": "sha256:cbc8321cedfb3dedd777a35d03b56596a67052bc73fcf9b6ccd4839540730162", "generator_version": "3.0"}
{"id": "v3_val_00000295", "prompt": "What is 24 * (80 + 1)?", "solution_steps": ["Add: 80 + 1 = 81", "Multiply: 24 * 81 = 1944"], "final_answer": "1944", "answer_type": "integer", "kind": "expression", "math_text": "24 * (80 + 1)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 80, \"c\": 1}", "seed": "6461176447316347005", "semantic_fingerprint": "sha256:942c71fcf0d4f7d0346b8843a83a0da5745557b8bbd8c124e37d18546dc83444", "generator_version": "3.0"}
{"id": "v3_val_00000296", "prompt": "What is (56 + (-800)) * (-782)?", "solution_steps": ["Add: 56 + (-800) = -744", "Multiply: -744 * (-782) = 581808"], "final_answer": "581808", "answer_type": "integer", "kind": "expression", "math_text": "(56 + (-800)) * (-782)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -800, \"c\": -782}", "seed": "13970509149045933090", "semantic_fingerprint": "sha256:725cb002046c026e8d620567efab5b09c2b96b38e12f1859d4b9e9ccd354c75e", "generator_version": "3.0"}
{"id": "v3_val_00000297", "prompt": "What is -10 / (-6 / 309 - (-4))?", "solution_steps": ["Divide: -6 / 309 = -2/103", "Subtract: -2/103 - (-4) = 410/103", "Divide: -10 / (410/103) = -103/41"], "final_answer": "-103/41", "answer_type": "rational", "kind": "expression", "math_text": "-10 / (-6 / 309 - (-4))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -6, \"c\": 309, \"d\": -4}", "seed": "6111081551025149248", "semantic_fingerprint": "sha256:e517c80d493e2727b02d1f212b58954668069f3b2bac6693ae5eb140dd3e8ede", "generator_version": "3.0"}
{"id": "v3_val_00000298", "prompt": "Evaluate: -1 * (39 - (-6) / (-34)) * (4 / 6)", "solution_steps": ["Divide: -6 / (-34) = 3/17", "Subtract: 39 - 3/17 = 660/17", "Multiply: -1 * (660/17) = -660/17", "Divide: 4 / 6 = 2/3", "Multiply: (-660/17) * (2/3) = -440/17"], "final_answer": "-440/17", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (39 - (-6) / (-34)) * (4 / 6)", "variable": null, "family": "expression_5op", "shape": "(* (* n (- n (/ n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 39, \"c\": -6, \"d\": -34, \"e\": 4, \"f\": 6}", "seed": "15808431692114229968", "semantic_fingerprint": "sha256:c08a5fb1d3930226cfc686c0b201f7bcecd62a360276a1c51af1a9368599cf40", "generator_version": "3.0"}
{"id": "v3_val_00000299", "prompt": "Solve the equation -5(x + 796) = 3(x + 9) for x.", "solution_steps": ["Expand: -5x - 3980 = 3(x + 9)", "Expand: -5x - 3980 = 3x + 27", "Subtract 3x from both sides: -8x - 3980 = 27", "Add 3980 to both sides: -8x = 4007", "Divide both sides by -8: x = -4007/8"], "final_answer": "-4007/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 796) = 3(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 796, \"c\": 3, \"d\": 9}", "seed": "7432625660920448072", "semantic_fingerprint": "sha256:1e766d41af4ea8509a8313d6a5644818f2b197f1a6ef29ed007b94dff3771e11", "generator_version": "3.0"}
{"id": "v3_val_00000300", "prompt": "Calculate: -3 / (-86) + 34", "solution_steps": ["Divide: -3 / (-86) = 3/86", "Add: 3/86 + 34 = 2927/86"], "final_answer": "2927/86", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-86) + 34", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -86, \"c\": 34}", "seed": "2262794575483945704", "semantic_fingerprint": "sha256:7cb7517e671a0e5de1346f317b7449e064313a988484e69fd74e5c99d0150ac7", "generator_version": "3.0"}
{"id": "v3_val_00000301", "prompt": "Calculate: -53 + 29 + 5", "solution_steps": ["Add: -53 + 29 = -24", "Add: -24 + 5 = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "-53 + 29 + 5", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 29, \"c\": 5}", "seed": "7145639694503068632", "semantic_fingerprint": "sha256:3ca29dc6eb00a9c3596d7d50c45fd8fc70b45318ed775920be5ab03071897e9e", "generator_version": "3.0"}
{"id": "v3_val_00000302", "prompt": "Evaluate: -700 / ((77 + 547) / 3)", "solution_steps": ["Add: 77 + 547 = 624", "Divide: 624 / 3 = 208", "Divide: -700 / 208 = -175/52"], "final_answer": "-175/52", "answer_type": "rational", "kind": "expression", "math_text": "-700 / ((77 + 547) / 3)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -700, \"b\": 77, \"c\": 547, \"d\": 3}", "seed": "16089162574024495840", "semantic_fingerprint": "sha256:a811bc1319d3bacd69a60f44ec9298c859a269678c9bc0cf9b8e5ac5686b566e", "generator_version": "3.0"}
{"id": "v3_val_00000303", "prompt": "Evaluate: -827 - (-92) + 25 / 6", "solution_steps": ["Subtract: -827 - (-92) = -735", "Divide: 25 / 6 = 25/6", "Add: -735 + 25/6 = -4385/6"], "final_answer": "-4385/6", "answer_type": "rational", "kind": "expression", "math_text": "-827 - (-92) + 25 / 6", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -827, \"b\": -92, \"c\": 25, \"d\": 6}", "seed": "15847912616994191465", "semantic_fingerprint": "sha256:d20803eeedc66ab388408bb04109e907d25b6205a4f0b840487bf1377de9b32a", "generator_version": "3.0"}
{"id": "v3_val_00000304", "prompt": "Evaluate: 4 / (4 - (18 / 72 + 5))", "solution_steps": ["Divide: 18 / 72 = 1/4", "Add: 1/4 + 5 = 21/4", "Subtract: 4 - 21/4 = -5/4", "Divide: 4 / (-5/4) = -16/5"], "final_answer": "-16/5", "answer_type": "rational", "kind": "expression", "math_text": "4 / (4 - (18 / 72 + 5))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (+ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 18, \"d\": 72, \"e\": 5}", "seed": "1764582979810193609", "semantic_fingerprint": "sha256:d8d8b2ec04c99234431824e75d25b5de26de64003b72a6a7a04eb23baa0a0ca6", "generator_version": "3.0"}
{"id": "v3_val_00000305", "prompt": "Compute: 30 + 0", "solution_steps": ["Add: 30 + 0 = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "30 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 0}", "seed": "7234544232279971347", "semantic_fingerprint": "sha256:532438758b36db5abf145728e3258ca31ad144d00f1d1da7d57e54c22d005f16", "generator_version": "3.0"}
{"id": "v3_val_00000306", "prompt": "Calculate: (78 + (-1) * (-620)) * (-9)", "solution_steps": ["Multiply: -1 * (-620) = 620", "Add: 78 + 620 = 698", "Multiply: 698 * (-9) = -6282"], "final_answer": "-6282", "answer_type": "integer", "kind": "expression", "math_text": "(78 + (-1) * (-620)) * (-9)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -1, \"c\": -620, \"d\": -9}", "seed": "3521470151006622378", "semantic_fingerprint": "sha256:335986298659eeeb1a047130bd5dac52714dd9f91a867315e7b344275d98fdac", "generator_version": "3.0"}
{"id": "v3_val_00000307", "prompt": "Solve the equation 5(x - 35) = 9(x + 2) for x.", "solution_steps": ["Expand: 5x - 175 = 9(x + 2)", "Expand: 5x - 175 = 9x + 18", "Subtract 9x from both sides: -4x - 175 = 18", "Add 175 to both sides: -4x = 193", "Divide both sides by -4: x = -193/4"], "final_answer": "-193/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 35) = 9(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 35, \"c\": 9, \"d\": 2}", "seed": "13980139058848071804", "semantic_fingerprint": "sha256:06d9ae686c4604cae37dafef68193a884819b7c64a87803dfe492ccb45d6ec20", "generator_version": "3.0"}
{"id": "v3_val_00000308", "prompt": "Calculate: -333 / (-36) - 2 + (-44)", "solution_steps": ["Divide: -333 / (-36) = 37/4", "Subtract: 37/4 - 2 = 29/4", "Add: 29/4 + (-44) = -147/4"], "final_answer": "-147/4", "answer_type": "rational", "kind": "expression", "math_text": "-333 / (-36) - 2 + (-44)", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -333, \"b\": -36, \"c\": 2, \"d\": -44}", "seed": "15533929697409288359", "semantic_fingerprint": "sha256:9041aec1edc8e58f355dbb9355cd58892e985925339c8ddb5f7a0ba9744ceb7b", "generator_version": "3.0"}
{"id": "v3_val_00000309", "prompt": "Evaluate: -134 + (-4 + 3) - 3 + 218", "solution_steps": ["Add: -4 + 3 = -1", "Add: -134 + (-1) = -135", "Subtract: -135 - 3 = -138", "Add: -138 + 218 = 80"], "final_answer": "80", "answer_type": "integer", "kind": "expression", "math_text": "-134 + (-4 + 3) - 3 + 218", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -134, \"b\": -4, \"c\": 3, \"d\": 3, \"e\": 218}", "seed": "5111388588272386150", "semantic_fingerprint": "sha256:27d8abecb8b90011ee8f7b890652004fe816fea18e4dc5cd9c26f2ba381025e5", "generator_version": "3.0"}
{"id": "v3_val_00000310", "prompt": "Calculate: -422 / 318 - (-59) * 1", "solution_steps": ["Divide: -422 / 318 = -211/159", "Multiply: -59 * 1 = -59", "Subtract: -211/159 - (-59) = 9170/159"], "final_answer": "9170/159", "answer_type": "rational", "kind": "expression", "math_text": "-422 / 318 - (-59) * 1", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -422, \"b\": 318, \"c\": -59, \"d\": 1}", "seed": "3801254550176115016", "semantic_fingerprint": "sha256:e71526e8505eac921ce484547fd220e1fdb739317884e330ed843c0960e8a267", "generator_version": "3.0"}
{"id": "v3_val_00000311", "prompt": "Solve for x: 7(x + 519) = 2x", "solution_steps": ["Expand: 7x + 3633 = 2x", "Subtract 2x from both sides: 5x + 3633 = 0", "Subtract 3633 from both sides: 5x = -3633", "Divide both sides by 5: x = -3633/5"], "final_answer": "-3633/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 519) = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 519, \"c\": 2}", "seed": "3933483330316184321", "semantic_fingerprint": "sha256:2a44d0ad962f4f73bd7d428a7dacb53f64dd67beed906cdef6977d3099d897a7", "generator_version": "3.0"}
{"id": "v3_val_00000312", "prompt": "Find x: x = -9(x + 4) + 146", "solution_steps": ["Expand: x = -9x - 36 + 146", "Combine constants: x = -9x + 110", "Add 9x to both sides: 10x = 110", "Divide both sides by 10: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -9(x + 4) + 146", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"d\": 146, \"x\": 11}", "seed": "1993179968348464289", "semantic_fingerprint": "sha256:dc423b7c30286627a71cacc3c4140563c11bc4d12f40e5a9e4f89edba1b874a7", "generator_version": "3.0"}
{"id": "v3_val_00000313", "prompt": "What is -685 - (-828) - (-718) * 5?", "solution_steps": ["Subtract: -685 - (-828) = 143", "Multiply: -718 * 5 = -3590", "Subtract: 143 - (-3590) = 3733"], "final_answer": "3733", "answer_type": "integer", "kind": "expression", "math_text": "-685 - (-828) - (-718) * 5", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -685, \"b\": -828, \"c\": -718, \"d\": 5}", "seed": "16400486680676031687", "semantic_fingerprint": "sha256:c366a4ef735be33975afd2b5aaf014f743bdfcc13f5dfa96169a8db0efd499ad", "generator_version": "3.0"}
{"id": "v3_val_00000314", "prompt": "Calculate: (497 + 6) * (-4 + (2 - 16) - 69)", "solution_steps": ["Add: 497 + 6 = 503", "Subtract: 2 - 16 = -14", "Add: -4 + (-14) = -18", "Subtract: -18 - 69 = -87", "Multiply: 503 * (-87) = -43761"], "final_answer": "-43761", "answer_type": "integer", "kind": "expression", "math_text": "(497 + 6) * (-4 + (2 - 16) - 69)", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (- (+ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 497, \"b\": 6, \"c\": -4, \"d\": 2, \"e\": 16, \"f\": 69}", "seed": "1554462379827224975", "semantic_fingerprint": "sha256:1a545cd6d32ee8da893b016d017491b141343e33f7de0b38bda36a6c649cf53f", "generator_version": "3.0"}
{"id": "v3_val_00000315", "prompt": "Compute: -3 * (-299) * (0 + (29 - (-8)) - 8)", "solution_steps": ["Multiply: -3 * (-299) = 897", "Subtract: 29 - (-8) = 37", "Add: 0 + 37 = 37", "Subtract: 37 - 8 = 29", "Multiply: 897 * 29 = 26013"], "final_answer": "26013", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-299) * (0 + (29 - (-8)) - 8)", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (- (+ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -299, \"c\": 0, \"d\": 29, \"e\": -8, \"f\": 8}", "seed": "11794707436893267641", "semantic_fingerprint": "sha256:1498d10ee558ed29d8d29546c680e5f0e3484fed8e11d3e1f021e41ffbecfb18", "generator_version": "3.0"}
{"id": "v3_val_00000316", "prompt": "What is 21 / (-1 * (-828))?", "solution_steps": ["Multiply: -1 * (-828) = 828", "Divide: 21 / 828 = 7/276"], "final_answer": "7/276", "answer_type": "rational", "kind": "expression", "math_text": "21 / (-1 * (-828))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -1, \"c\": -828}", "seed": "9590327908339706590", "semantic_fingerprint": "sha256:8429710e33d8b9a5a6427ee7bd566ab34df42da5818e39d7a3a70380ccea4cfc", "generator_version": "3.0"}
{"id": "v3_val_00000317", "prompt": "Solve the equation -3x + 5 = 2x - 45 for x.", "solution_steps": ["Subtract 2x from both sides: -5x + 5 = -45", "Subtract 5 from both sides: -5x = -50", "Divide both sides by -5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 5 = 2x - 45", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 5, \"c\": 2, \"e\": -45, \"x\": 10}", "seed": "16168042506000070083", "semantic_fingerprint": "sha256:fd196fa0b705cacd69d4f1fcb8fc3e43eb6b0cd16d341a1cbd30bcbf7f7f5c7a", "generator_version": "3.0"}
{"id": "v3_val_00000318", "prompt": "What is (-70 - (-3)) / (-142) * (69 + (-59))?", "solution_steps": ["Subtract: -70 - (-3) = -67", "Divide: -67 / (-142) = 67/142", "Add: 69 + (-59) = 10", "Multiply: (67/142) * 10 = 335/71"], "final_answer": "335/71", "answer_type": "rational", "kind": "expression", "math_text": "(-70 - (-3)) / (-142) * (69 + (-59))", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -3, \"c\": -142, \"d\": 69, \"e\": -59}", "seed": "5160450441086827548", "semantic_fingerprint": "sha256:bea2c3f125368743b4bd36465469c6047cbdf35d17fa1c941f2296c5cae74282", "generator_version": "3.0"}
{"id": "v3_val_00000319", "prompt": "What is -63 * (-592 + (-263))?", "solution_steps": ["Add: -592 + (-263) = -855", "Multiply: -63 * (-855) = 53865"], "final_answer": "53865", "answer_type": "integer", "kind": "expression", "math_text": "-63 * (-592 + (-263))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -592, \"c\": -263}", "seed": "10883623008681075947", "semantic_fingerprint": "sha256:c5abae6f732c0485a89acbf9a9cd279b98ea5ae6d753f399893de37307070d2b", "generator_version": "3.0"}
{"id": "v3_val_00000320", "prompt": "Solve for x: -9x + 5 = x + 45", "solution_steps": ["Subtract x from both sides: -10x + 5 = 45", "Subtract 5 from both sides: -10x = 40", "Divide both sides by -10: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 5 = x + 45", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"d\": 45, \"x\": -4}", "seed": "910229632673445991", "semantic_fingerprint": "sha256:20747409fb6aa7c99508c0b441509acf97e7d11c1467c0c774399dd1106bfedf", "generator_version": "3.0"}
{"id": "v3_val_00000321", "prompt": "Compute: 1 - (-22)", "solution_steps": ["Subtract: 1 - (-22) = 23"], "final_answer": "23", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-22)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -22}", "seed": "10881750958100077340", "semantic_fingerprint": "sha256:11071ca60ee0fef5c2d3f67050fd9f5e9977a8dc3f365c4fdf5ac5ea082111fb", "generator_version": "3.0"}
{"id": "v3_val_00000322", "prompt": "Solve for x: -10(x + 6) = -3(x - 41) - 190", "solution_steps": ["Expand: -10x - 60 = -3(x - 41) - 190", "Expand: -10x - 60 = -3x + 123 - 190", "Combine constants: -10x - 60 = -3x - 67", "Add 3x to both sides: -7x - 60 = -67", "Add 60 to both sides: -7x = -7", "Divide both sides by -7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 6) = -3(x - 41) - 190", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6, \"c\": -3, \"d\": 41, \"f\": -190, \"x\": 1}", "seed": "16806146238834633599", "semantic_fingerprint": "sha256:e35f57de877f3d95f2c221983c307486de070352f38812bb8fd71a43e3b43e04", "generator_version": "3.0"}
{"id": "v3_val_00000323", "prompt": "Evaluate: -43 - (-76)", "solution_steps": ["Subtract: -43 - (-76) = 33"], "final_answer": "33", "answer_type": "integer", "kind": "expression", "math_text": "-43 - (-76)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -76}", "seed": "15773228248830844539", "semantic_fingerprint": "sha256:507ae2cc592c653d9dfe994afdd8d437faba02a23b60ecb9484bc3a0e1555251", "generator_version": "3.0"}
{"id": "v3_val_00000324", "prompt": "Compute: (9 - (-2)) * (-2)", "solution_steps": ["Subtract: 9 - (-2) = 11", "Multiply: 11 * (-2) = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "(9 - (-2)) * (-2)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -2, \"c\": -2}", "seed": "10924850043018073519", "semantic_fingerprint": "sha256:ed1d486bb4bcfd7014a12e3a23701da959d31c9701220af231aaba531e97c9f8", "generator_version": "3.0"}
{"id": "v3_val_00000325", "prompt": "What value of x satisfies -4(x - 1) = 10(x - 84) + 648?", "solution_steps": ["Expand: -4x + 4 = 10(x - 84) + 648", "Expand: -4x + 4 = 10x - 840 + 648", "Combine constants: -4x + 4 = 10x - 192", "Subtract 10x from both sides: -14x + 4 = -192", "Subtract 4 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 - 1) = 10(x - 84) + 648", "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\": 10, \"d\": 84, \"f\": 648, \"x\": 14}", "seed": "8520536936800028689", "semantic_fingerprint": "sha256:5058b5764d621f0d0566c91a71bbaac10ab3c6fc033495eaccc133e52c1dfc3a", "generator_version": "3.0"}
{"id": "v3_val_00000326", "prompt": "Compute: -673 * 7", "solution_steps": ["Multiply: -673 * 7 = -4711"], "final_answer": "-4711", "answer_type": "integer", "kind": "expression", "math_text": "-673 * 7", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -673, \"b\": 7}", "seed": "18357241338095706783", "semantic_fingerprint": "sha256:adafdc120a582fcb41612541063a3b2f5966c2e6f77296c1d91cc459e65398b3", "generator_version": "3.0"}
{"id": "v3_val_00000327", "prompt": "Calculate: 484 * (-7) / 963", "solution_steps": ["Multiply: 484 * (-7) = -3388", "Divide: -3388 / 963 = -3388/963"], "final_answer": "-3388/963", "answer_type": "rational", "kind": "expression", "math_text": "484 * (-7) / 963", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 484, \"b\": -7, \"c\": 963}", "seed": "11717395269057323650", "semantic_fingerprint": "sha256:08099875e56a03fa221302426f5036df4554e8f7fdd288ed6f0e165cd4e39719", "generator_version": "3.0"}
{"id": "v3_val_00000328", "prompt": "Calculate: (-2 - 0) * ((98 + (-1)) / (39 + (-90)))", "solution_steps": ["Subtract: -2 - 0 = -2", "Add: 98 + (-1) = 97", "Add: 39 + (-90) = -51", "Divide: 97 / (-51) = -97/51", "Multiply: -2 * (-97/51) = 194/51"], "final_answer": "194/51", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - 0) * ((98 + (-1)) / (39 + (-90)))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (/ (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 0, \"c\": 98, \"d\": -1, \"e\": 39, \"f\": -90}", "seed": "1691372068224361265", "semantic_fingerprint": "sha256:454eb0db0e8c970b8cb4f6da222a2abcf8ab759d632180339336d630e50a72fd", "generator_version": "3.0"}
{"id": "v3_val_00000329", "prompt": "What is -8 / 63 * (69 * 704)?", "solution_steps": ["Divide: -8 / 63 = -8/63", "Multiply: 69 * 704 = 48576", "Multiply: (-8/63) * 48576 = -129536/21"], "final_answer": "-129536/21", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 63 * (69 * 704)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 63, \"c\": 69, \"d\": 704}", "seed": "16722917845418713008", "semantic_fingerprint": "sha256:e17114f33fd3d325f0efb2c60f9b354237eab9aac6b00297ed4bf1e91c32ca48", "generator_version": "3.0"}
{"id": "v3_val_00000330", "prompt": "Calculate: 0 / 7 + (-8)", "solution_steps": ["Divide: 0 / 7 = 0", "Add: 0 + (-8) = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "0 / 7 + (-8)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 7, \"c\": -8}", "seed": "8134523807317767334", "semantic_fingerprint": "sha256:5914ea12bda4f0f7a17b4f01ed1bc43c3ff1e91a66319a42d3110a32150aecf5", "generator_version": "3.0"}
{"id": "v3_val_00000331", "prompt": "Compute: -43 / (-43) * (-4) - 80", "solution_steps": ["Divide: -43 / (-43) = 1", "Multiply: 1 * (-4) = -4", "Subtract: -4 - 80 = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "expression", "math_text": "-43 / (-43) * (-4) - 80", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -43, \"c\": -4, \"d\": 80}", "seed": "3252605972423421513", "semantic_fingerprint": "sha256:0eece719e22fc7995d7da59e7048db9368e4bbb257bcb3b35dff9deb7f2f3fa6", "generator_version": "3.0"}
{"id": "v3_val_00000332", "prompt": "Evaluate: (595 + (-9)) / 96", "solution_steps": ["Add: 595 + (-9) = 586", "Divide: 586 / 96 = 293/48"], "final_answer": "293/48", "answer_type": "rational", "kind": "expression", "math_text": "(595 + (-9)) / 96", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 595, \"b\": -9, \"c\": 96}", "seed": "5545864372502850257", "semantic_fingerprint": "sha256:814c8c871b002998eb0295f6fc1d3975e9ac2b196bcfce6ead35231c13f460b7", "generator_version": "3.0"}
{"id": "v3_val_00000333", "prompt": "Compute: -39 * 64 * (-304)", "solution_steps": ["Multiply: -39 * 64 = -2496", "Multiply: -2496 * (-304) = 758784"], "final_answer": "758784", "answer_type": "integer", "kind": "expression", "math_text": "-39 * 64 * (-304)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 64, \"c\": -304}", "seed": "12105078940953742036", "semantic_fingerprint": "sha256:c162f3a943f2b592ad78ec04d2f80100d2437811bb9f59685c81d4f90c8894a5", "generator_version": "3.0"}
{"id": "v3_val_00000334", "prompt": "Evaluate: -680 * (-56)", "solution_steps": ["Multiply: -680 * (-56) = 38080"], "final_answer": "38080", "answer_type": "integer", "kind": "expression", "math_text": "-680 * (-56)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -680, \"b\": -56}", "seed": "6885431937807207551", "semantic_fingerprint": "sha256:ce7f22c6525e948106462f3888c522698088e0ef6c7b5182bbe13aac2fb1d13a", "generator_version": "3.0"}
{"id": "v3_val_00000335", "prompt": "Compute: -95 + (-671 - 655) / 26", "solution_steps": ["Subtract: -671 - 655 = -1326", "Divide: -1326 / 26 = -51", "Add: -95 + (-51) = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "expression", "math_text": "-95 + (-671 - 655) / 26", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -671, \"c\": 655, \"d\": 26}", "seed": "1730316334952861314", "semantic_fingerprint": "sha256:e09c10932860085ab9fc309ffed6b2d1e14fe24d59574d9714fba5bcb484ad38", "generator_version": "3.0"}
{"id": "v3_val_00000336", "prompt": "Calculate: (7 * (-45) + (-591 + (-5))) * (-8 + (-55))", "solution_steps": ["Multiply: 7 * (-45) = -315", "Add: -591 + (-5) = -596", "Add: -315 + (-596) = -911", "Add: -8 + (-55) = -63", "Multiply: -911 * (-63) = 57393"], "final_answer": "57393", "answer_type": "integer", "kind": "expression", "math_text": "(7 * (-45) + (-591 + (-5))) * (-8 + (-55))", "variable": null, "family": "expression_5op", "shape": "(* (+ (* n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -45, \"c\": -591, \"d\": -5, \"e\": -8, \"f\": -55}", "seed": "11341578853312628686", "semantic_fingerprint": "sha256:5cfb28814fd08042aea60ce8711e1b77f6bc7459270336ecd47f866d2bd24708", "generator_version": "3.0"}
{"id": "v3_val_00000337", "prompt": "Calculate: -361 * (5 * (0 * 269) - 73 * 18)", "solution_steps": ["Multiply: 0 * 269 = 0", "Multiply: 5 * 0 = 0", "Multiply: 73 * 18 = 1314", "Subtract: 0 - 1314 = -1314", "Multiply: -361 * (-1314) = 474354"], "final_answer": "474354", "answer_type": "integer", "kind": "expression", "math_text": "-361 * (5 * (0 * 269) - 73 * 18)", "variable": null, "family": "expression_5op", "shape": "(* n (- (* n (* n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -361, \"b\": 5, \"c\": 0, \"d\": 269, \"e\": 73, \"f\": 18}", "seed": "11180197296802601357", "semantic_fingerprint": "sha256:6bba9cc6786d39f9e6e6d80141c4fc1e307144f7082ed024b54fdb2ec431c64d", "generator_version": "3.0"}
{"id": "v3_val_00000338", "prompt": "What is -647 - (8 - (-5)) - (3 - (-192))?", "solution_steps": ["Subtract: 8 - (-5) = 13", "Subtract: -647 - 13 = -660", "Subtract: 3 - (-192) = 195", "Subtract: -660 - 195 = -855"], "final_answer": "-855", "answer_type": "integer", "kind": "expression", "math_text": "-647 - (8 - (-5)) - (3 - (-192))", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -647, \"b\": 8, \"c\": -5, \"d\": 3, \"e\": -192}", "seed": "15254063127274829252", "semantic_fingerprint": "sha256:48ed25d8a0c1cec8b877ab4bd81335564abf39c8a49ae14de5f119f7380fb574", "generator_version": "3.0"}
{"id": "v3_val_00000339", "prompt": "Find x: -4x + 93 = 3(x + 4) - 1", "solution_steps": ["Expand: -4x + 93 = 3x + 12 - 1", "Combine constants: -4x + 93 = 3x + 11", "Subtract 3x from both sides: -7x + 93 = 11", "Subtract 93 from both sides: -7x = -82", "Divide both sides by -7: x = 82/7"], "final_answer": "82/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x + 93 = 3(x + 4) - 1", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 93, \"c\": 3, \"d\": 4, \"e\": 1}", "seed": "15221969788328347041", "semantic_fingerprint": "sha256:89e6782a2429471d759778cda00497323721f28c09d99c04e9387d8afe3bf45f", "generator_version": "3.0"}
{"id": "v3_val_00000340", "prompt": "Evaluate: -72 * (97 + (-81) + (-993))", "solution_steps": ["Add: 97 + (-81) = 16", "Add: 16 + (-993) = -977", "Multiply: -72 * (-977) = 70344"], "final_answer": "70344", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (97 + (-81) + (-993))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 97, \"c\": -81, \"d\": -993}", "seed": "9901953302976200523", "semantic_fingerprint": "sha256:3c24e69b28866a82d94e17475781c56a8c53d0df7dc875bceba022cccc7345e8", "generator_version": "3.0"}
{"id": "v3_val_00000341", "prompt": "Compute: 92 + (-646) - 7", "solution_steps": ["Add: 92 + (-646) = -554", "Subtract: -554 - 7 = -561"], "final_answer": "-561", "answer_type": "integer", "kind": "expression", "math_text": "92 + (-646) - 7", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -646, \"c\": 7}", "seed": "4571801245243516128", "semantic_fingerprint": "sha256:efc341744b84cb9a541f938839b0bcaa84913689155b5637bc55b8454c7e2277", "generator_version": "3.0"}
{"id": "v3_val_00000342", "prompt": "What value of x satisfies x - 65 = -8x + 79?", "solution_steps": ["Add 8x to both sides: 9x - 65 = 79", "Add 65 to both sides: 9x = 144", "Divide both sides by 9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 65 = -8x + 79", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -8, \"d\": 79, \"x\": 16}", "seed": "16907512028354452533", "semantic_fingerprint": "sha256:3281dcd75536e220ec682b863bfb4fc5a6ec9be867684ae45f1dd8905118716e", "generator_version": "3.0"}
{"id": "v3_val_00000343", "prompt": "Evaluate: -1 * ((-210 + 107) * 23) / (4 * 5)", "solution_steps": ["Add: -210 + 107 = -103", "Multiply: -103 * 23 = -2369", "Multiply: -1 * (-2369) = 2369", "Multiply: 4 * 5 = 20", "Divide: 2369 / 20 = 2369/20"], "final_answer": "2369/20", "answer_type": "rational", "kind": "expression", "math_text": "-1 * ((-210 + 107) * 23) / (4 * 5)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (* (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -210, \"c\": 107, \"d\": 23, \"e\": 4, \"f\": 5}", "seed": "12154568827414493355", "semantic_fingerprint": "sha256:e0f669ac2e7ad0112d889e7d22ea074d27f94a140532ca761e8634e435e668a5", "generator_version": "3.0"}
{"id": "v3_val_00000344", "prompt": "Calculate: -62 + 90", "solution_steps": ["Add: -62 + 90 = 28"], "final_answer": "28", "answer_type": "integer", "kind": "expression", "math_text": "-62 + 90", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 90}", "seed": "15433297409580867275", "semantic_fingerprint": "sha256:0df859964d33828f333ef1f32aeec49db76b857ed9401cb4e42f7f5478801f61", "generator_version": "3.0"}
{"id": "v3_val_00000345", "prompt": "Calculate: -50 * (-6)", "solution_steps": ["Multiply: -50 * (-6) = 300"], "final_answer": "300", "answer_type": "integer", "kind": "expression", "math_text": "-50 * (-6)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -6}", "seed": "16171833243758587187", "semantic_fingerprint": "sha256:a6663755758300ae454b101c9e48fa9629f47e7ff924958a91924fbd2b24594a", "generator_version": "3.0"}
{"id": "v3_val_00000346", "prompt": "Calculate: 9 * (-617) + 63", "solution_steps": ["Multiply: 9 * (-617) = -5553", "Add: -5553 + 63 = -5490"], "final_answer": "-5490", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-617) + 63", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -617, \"c\": 63}", "seed": "5138874554692708574", "semantic_fingerprint": "sha256:7df54494ddb80033bf66c86723f41e253b00d3416ed456b51ebbe3b0b7eae737", "generator_version": "3.0"}
{"id": "v3_val_00000347", "prompt": "Evaluate: 0 / (-531) - (-952)", "solution_steps": ["Divide: 0 / (-531) = 0", "Subtract: 0 - (-952) = 952"], "final_answer": "952", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-531) - (-952)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -531, \"c\": -952}", "seed": "9336894319422701821", "semantic_fingerprint": "sha256:f38ecae8790a8af8484f87a6684c349b17a7061f70d063babec2e5f71a4bd9a2", "generator_version": "3.0"}
{"id": "v3_val_00000348", "prompt": "Evaluate: 5 + (-67 / (-5) / 2 + 38)", "solution_steps": ["Divide: -67 / (-5) = 67/5", "Divide: (67/5) / 2 = 67/10", "Add: 67/10 + 38 = 447/10", "Add: 5 + 447/10 = 497/10"], "final_answer": "497/10", "answer_type": "rational", "kind": "expression", "math_text": "5 + (-67 / (-5) / 2 + 38)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -67, \"c\": -5, \"d\": 2, \"e\": 38}", "seed": "17762158748960689030", "semantic_fingerprint": "sha256:c3c93fb77a327c5cd6ef5c9bf3264181be7c2b12c8b1f85bcb6ea8dd1cac85b4", "generator_version": "3.0"}
{"id": "v3_val_00000349", "prompt": "Compute: (158 + 0) * ((19 - 74) * 2)", "solution_steps": ["Add: 158 + 0 = 158", "Subtract: 19 - 74 = -55", "Multiply: -55 * 2 = -110", "Multiply: 158 * (-110) = -17380"], "final_answer": "-17380", "answer_type": "integer", "kind": "expression", "math_text": "(158 + 0) * ((19 - 74) * 2)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 158, \"b\": 0, \"c\": 19, \"d\": 74, \"e\": 2}", "seed": "11844800788296277048", "semantic_fingerprint": "sha256:6297f5931a1238bb23cee590dd4ccd9c2c782cec66f74f3ae876dbd59290ba75", "generator_version": "3.0"}
{"id": "v3_val_00000350", "prompt": "Compute: -5 / 8 + (21 - (-5)) + (-588)", "solution_steps": ["Divide: -5 / 8 = -5/8", "Subtract: 21 - (-5) = 26", "Add: -5/8 + 26 = 203/8", "Add: 203/8 + (-588) = -4501/8"], "final_answer": "-4501/8", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 8 + (21 - (-5)) + (-588)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 8, \"c\": 21, \"d\": -5, \"e\": -588}", "seed": "4360917410962547538", "semantic_fingerprint": "sha256:dce6c30af93ba1d25b4fb7cf7cf1bd990cb4a97874c17c34ff13e6b706e4b3b7", "generator_version": "3.0"}
{"id": "v3_val_00000351", "prompt": "Compute: -44 - (-4) + 4 - (-79 - (-55)) + 3", "solution_steps": ["Subtract: -44 - (-4) = -40", "Add: -40 + 4 = -36", "Subtract: -79 - (-55) = -24", "Subtract: -36 - (-24) = -12", "Add: -12 + 3 = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "-44 - (-4) + 4 - (-79 - (-55)) + 3", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ (- n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -4, \"c\": 4, \"d\": -79, \"e\": -55, \"f\": 3}", "seed": "12635246590693616300", "semantic_fingerprint": "sha256:bee6ee7fcc9199b26f1564f9b1be3907231b067ea3d8b33cd6403002e16294d3", "generator_version": "3.0"}
{"id": "v3_val_00000352", "prompt": "Find x: 12(x + 8) = 4(x + 6) - 56", "solution_steps": ["Expand: 12x + 96 = 4(x + 6) - 56", "Expand: 12x + 96 = 4x + 24 - 56", "Combine constants: 12x + 96 = 4x - 32", "Subtract 4x from both sides: 8x + 96 = -32", "Subtract 96 from both sides: 8x = -128", "Divide both sides by 8: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 8) = 4(x + 6) - 56", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 4, \"d\": 6, \"f\": -56, \"x\": -16}", "seed": "5374178342849199535", "semantic_fingerprint": "sha256:c94acceb179fd158a572a16c1e74e67150668cf1905e5608ab826fe36cb6c1e1", "generator_version": "3.0"}
{"id": "v3_val_00000353", "prompt": "Calculate: (39 - 24) / (0 - 847)", "solution_steps": ["Subtract: 39 - 24 = 15", "Subtract: 0 - 847 = -847", "Divide: 15 / (-847) = -15/847"], "final_answer": "-15/847", "answer_type": "rational", "kind": "expression", "math_text": "(39 - 24) / (0 - 847)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 24, \"c\": 0, \"d\": 847}", "seed": "7185239096623611949", "semantic_fingerprint": "sha256:08d372b2d049950a2b1fff2f5fda49a30100c9e52cfa418bf81da2059010ff0a", "generator_version": "3.0"}
{"id": "v3_val_00000354", "prompt": "What value of x satisfies x = 6(x + 43) - 268?", "solution_steps": ["Expand: x = 6x + 258 - 268", "Combine constants: x = 6x - 10", "Subtract 6x from both sides: -5x = -10", "Divide both sides by -5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 6(x + 43) - 268", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 43, \"d\": -268, \"x\": 2}", "seed": "15860524459693341068", "semantic_fingerprint": "sha256:c922249ad448bde59517e40fbfd85570aed995eee2c3af04e7a6f18fcc537245", "generator_version": "3.0"}
{"id": "v3_val_00000355", "prompt": "Evaluate: 987 * (-3 / (-5)) + 86 * 9", "solution_steps": ["Divide: -3 / (-5) = 3/5", "Multiply: 987 * (3/5) = 2961/5", "Multiply: 86 * 9 = 774", "Add: 2961/5 + 774 = 6831/5"], "final_answer": "6831/5", "answer_type": "rational", "kind": "expression", "math_text": "987 * (-3 / (-5)) + 86 * 9", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 987, \"b\": -3, \"c\": -5, \"d\": 86, \"e\": 9}", "seed": "4439192094395967659", "semantic_fingerprint": "sha256:5a2f8550cfed02d38524cc91d71a1f23fa74c1758807b466c7f614d19351225d", "generator_version": "3.0"}
{"id": "v3_val_00000356", "prompt": "Evaluate: 8 * (-365) * (-75) - 669 * 2", "solution_steps": ["Multiply: 8 * (-365) = -2920", "Multiply: -2920 * (-75) = 219000", "Multiply: 669 * 2 = 1338", "Subtract: 219000 - 1338 = 217662"], "final_answer": "217662", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-365) * (-75) - 669 * 2", "variable": null, "family": "expression_4op", "shape": "(- (* (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -365, \"c\": -75, \"d\": 669, \"e\": 2}", "seed": "15267445769207090710", "semantic_fingerprint": "sha256:18da6d921ae801b3aee63b17ae31a9d505f5b79ba9abf779d3fe0687ed253202", "generator_version": "3.0"}
{"id": "v3_val_00000357", "prompt": "What is -65 - (2 - 379) - (-522) * (-792 - 74)?", "solution_steps": ["Subtract: 2 - 379 = -377", "Subtract: -65 - (-377) = 312", "Subtract: -792 - 74 = -866", "Multiply: -522 * (-866) = 452052", "Subtract: 312 - 452052 = -451740"], "final_answer": "-451740", "answer_type": "integer", "kind": "expression", "math_text": "-65 - (2 - 379) - (-522) * (-792 - 74)", "variable": null, "family": "expression_5op", "shape": "(- (- n (- n n)) (* n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 2, \"c\": 379, \"d\": -522, \"e\": -792, \"f\": 74}", "seed": "479062419728378464", "semantic_fingerprint": "sha256:95387e0e7dbe09c76f3bbefd2c66c0c8cc4f8c1706a5c054b7da36660e722007", "generator_version": "3.0"}
{"id": "v3_val_00000358", "prompt": "Evaluate: 4 * (-92) + (-75) / 62 - (-79)", "solution_steps": ["Multiply: 4 * (-92) = -368", "Divide: -75 / 62 = -75/62", "Add: -368 + (-75/62) = -22891/62", "Subtract: -22891/62 - (-79) = -17993/62"], "final_answer": "-17993/62", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-92) + (-75) / 62 - (-79)", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -92, \"c\": -75, \"d\": 62, \"e\": -79}", "seed": "5481895057574453201", "semantic_fingerprint": "sha256:646b20b244a009a0f3891e6b09fed54e28a3aa61bbbdf8ac4285189d896c40ab", "generator_version": "3.0"}
{"id": "v3_val_00000359", "prompt": "Compute: -7 * 8 + (-848)", "solution_steps": ["Multiply: -7 * 8 = -56", "Add: -56 + (-848) = -904"], "final_answer": "-904", "answer_type": "integer", "kind": "expression", "math_text": "-7 * 8 + (-848)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": -848}", "seed": "8934427300077200180", "semantic_fingerprint": "sha256:d4bf5307333a0e2f55673603cd5f86188ddb8a11c8c244f4eb81255945974250", "generator_version": "3.0"}
{"id": "v3_val_00000360", "prompt": "Solve for x: 5x - 24 = x - 6", "solution_steps": ["Subtract x from both sides: 4x - 24 = -6", "Add 24 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 - 24 = x - 6", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 24, \"c\": 6}", "seed": "18004626807147838064", "semantic_fingerprint": "sha256:ceb1a08a8c555e9bf10dec8566f13be01bfec1f531e739f8553935a1ed068eea", "generator_version": "3.0"}
{"id": "v3_val_00000361", "prompt": "Calculate: -5 / 7 * (3 * 68)", "solution_steps": ["Divide: -5 / 7 = -5/7", "Multiply: 3 * 68 = 204", "Multiply: (-5/7) * 204 = -1020/7"], "final_answer": "-1020/7", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 7 * (3 * 68)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 3, \"d\": 68}", "seed": "9680867647565419601", "semantic_fingerprint": "sha256:51485b925b71684ae95c9c662b0acb38a5adc312efed0a9b2731ffc57f513189", "generator_version": "3.0"}
{"id": "v3_val_00000362", "prompt": "What is -93 * (-7) - (-889 + (-528))?", "solution_steps": ["Multiply: -93 * (-7) = 651", "Add: -889 + (-528) = -1417", "Subtract: 651 - (-1417) = 2068"], "final_answer": "2068", "answer_type": "integer", "kind": "expression", "math_text": "-93 * (-7) - (-889 + (-528))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -7, \"c\": -889, \"d\": -528}", "seed": "13499621710442111398", "semantic_fingerprint": "sha256:a17b1471fe26c2d7851c8be684d9867aea2d45ed321edb66e25e18ac80f1db36", "generator_version": "3.0"}
{"id": "v3_val_00000363", "prompt": "What is -2 / (3 * 28 * 9)?", "solution_steps": ["Multiply: 3 * 28 = 84", "Multiply: 84 * 9 = 756", "Divide: -2 / 756 = -1/378"], "final_answer": "-1/378", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (3 * 28 * 9)", "variable": null, "family": "expression_3op", "shape": "(/ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 28, \"d\": 9}", "seed": "847704609931248426", "semantic_fingerprint": "sha256:026b76fa5086ae0338a514d483a48de3e156f0bcfae3fa84c0e2c4598dfa8a73", "generator_version": "3.0"}
{"id": "v3_val_00000364", "prompt": "Find x: 12x - 625 = -9(x - 60) + 62", "solution_steps": ["Expand: 12x - 625 = -9x + 540 + 62", "Combine constants: 12x - 625 = -9x + 602", "Add 9x to both sides: 21x - 625 = 602", "Add 625 to both sides: 21x = 1227", "Divide both sides by 21: x = 409/7"], "final_answer": "409/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 625 = -9(x - 60) + 62", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 625, \"c\": -9, \"d\": 60, \"e\": 62}", "seed": "9292289095535568176", "semantic_fingerprint": "sha256:a06483f3760452d034bf78e9cae7deeaa695107820220ec2ff87aa310ed00233", "generator_version": "3.0"}
{"id": "v3_val_00000365", "prompt": "What is 78 + 562 * 66 - (24 - (-63)) + (-5)?", "solution_steps": ["Multiply: 562 * 66 = 37092", "Add: 78 + 37092 = 37170", "Subtract: 24 - (-63) = 87", "Subtract: 37170 - 87 = 37083", "Add: 37083 + (-5) = 37078"], "final_answer": "37078", "answer_type": "integer", "kind": "expression", "math_text": "78 + 562 * 66 - (24 - (-63)) + (-5)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n (* n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 562, \"c\": 66, \"d\": 24, \"e\": -63, \"f\": -5}", "seed": "16957638452121259738", "semantic_fingerprint": "sha256:29d1609888c55e78978b6647c2d70627eb9db6cf8343045e7bbcc992bc075cf1", "generator_version": "3.0"}
{"id": "v3_val_00000366", "prompt": "Solve the equation 7(x + 87) - 42 = 2(x + 30) + 8 for x.", "solution_steps": ["Expand: 7x + 609 - 42 = 2(x + 30) + 8", "Expand: 7x + 609 - 42 = 2x + 60 + 8", "Combine constants: 7x + 567 = 2x + 60 + 8", "Combine constants: 7x + 567 = 2x + 68", "Subtract 2x from both sides: 5x + 567 = 68", "Subtract 567 from both sides: 5x = -499", "Divide both sides by 5: x = -499/5"], "final_answer": "-499/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 87) - 42 = 2(x + 30) + 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\": 87, \"c\": 42, \"d\": 2, \"e\": 30, \"f\": 8}", "seed": "4959424168428398157", "semantic_fingerprint": "sha256:bc025daa23b982d2a529becbb5a22e93f4bc6b804673f92c433e5e22fa1390d3", "generator_version": "3.0"}
{"id": "v3_val_00000367", "prompt": "Solve for x: 12x = x + 110", "solution_steps": ["Subtract x from both sides: 11x = 110", "Divide both sides by 11: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = x + 110", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": 110, \"x\": 10}", "seed": "11495098100805504753", "semantic_fingerprint": "sha256:70260af91d00b756524fc642d3f4a9d7ca2d43399e4417ed0b103017a8addc11", "generator_version": "3.0"}
{"id": "v3_val_00000368", "prompt": "Evaluate: 60 * (-3)", "solution_steps": ["Multiply: 60 * (-3) = -180"], "final_answer": "-180", "answer_type": "integer", "kind": "expression", "math_text": "60 * (-3)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -3}", "seed": "3057528265741702388", "semantic_fingerprint": "sha256:8e50db1a70a0405004c22194fad2f1bbe1ed924e60f22a5bc7e77b10e65d4ad8", "generator_version": "3.0"}
{"id": "v3_val_00000369", "prompt": "Evaluate: 29 / (-68) + (7 / (-28) - 151)", "solution_steps": ["Divide: 29 / (-68) = -29/68", "Divide: 7 / (-28) = -1/4", "Subtract: -1/4 - 151 = -605/4", "Add: -29/68 + (-605/4) = -5157/34"], "final_answer": "-5157/34", "answer_type": "rational", "kind": "expression", "math_text": "29 / (-68) + (7 / (-28) - 151)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -68, \"c\": 7, \"d\": -28, \"e\": 151}", "seed": "8264978424509202067", "semantic_fingerprint": "sha256:fa2e81cb6f3f7fcd95bf4756808bedf16f8a9efcf1716afa93e379a923d6e61c", "generator_version": "3.0"}
{"id": "v3_val_00000370", "prompt": "What value of x satisfies 11(x - 5) = 5(x + 50) - 203?", "solution_steps": ["Expand: 11x - 55 = 5(x + 50) - 203", "Expand: 11x - 55 = 5x + 250 - 203", "Combine constants: 11x - 55 = 5x + 47", "Subtract 5x from both sides: 6x - 55 = 47", "Add 55 to both sides: 6x = 102", "Divide both sides by 6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 5) = 5(x + 50) - 203", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 5, \"d\": 50, \"f\": -203, \"x\": 17}", "seed": "6981716786258964157", "semantic_fingerprint": "sha256:d08fbd0b5f09b2733d876c5a9e693430ded437045bd1e653865ed587381e8d13", "generator_version": "3.0"}
{"id": "v3_val_00000371", "prompt": "Evaluate: 779 - 560 + (-221) / (-87)", "solution_steps": ["Subtract: 779 - 560 = 219", "Divide: -221 / (-87) = 221/87", "Add: 219 + 221/87 = 19274/87"], "final_answer": "19274/87", "answer_type": "rational", "kind": "expression", "math_text": "779 - 560 + (-221) / (-87)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 779, \"b\": 560, \"c\": -221, \"d\": -87}", "seed": "17134033775643044559", "semantic_fingerprint": "sha256:112e449562027dcc0a193b38d664c03772f9af207e47c83868622e40a5946bf9", "generator_version": "3.0"}
{"id": "v3_val_00000372", "prompt": "What is -3 / 92 - (-25)?", "solution_steps": ["Divide: -3 / 92 = -3/92", "Subtract: -3/92 - (-25) = 2297/92"], "final_answer": "2297/92", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 92 - (-25)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 92, \"c\": -25}", "seed": "591780798955426831", "semantic_fingerprint": "sha256:2f23a885b7d279e8720f571cbd6ab95a3ff96b917479ac0f41ad156c91df0067", "generator_version": "3.0"}
{"id": "v3_val_00000373", "prompt": "Solve the equation x = 5(x - 9) + 51 for x.", "solution_steps": ["Expand: x = 5x - 45 + 51", "Combine constants: x = 5x + 6", "Subtract 5x from both sides: -4x = 6", "Divide both sides by -4: x = -3/2"], "final_answer": "-3/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 5(x - 9) + 51", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 51}", "seed": "14659957376952244815", "semantic_fingerprint": "sha256:06368a8bbc8dc08dd7c3153b1905f1d642235350a7b9e7582d69d6986856b688", "generator_version": "3.0"}
{"id": "v3_val_00000374", "prompt": "Evaluate: -80 / (-50)", "solution_steps": ["Divide: -80 / (-50) = 8/5"], "final_answer": "8/5", "answer_type": "rational", "kind": "expression", "math_text": "-80 / (-50)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -50}", "seed": "12379367830939018086", "semantic_fingerprint": "sha256:c2c34bc153ebef3a7dfcb956834f3c2a20685d8af266056287b55d29ff6e1a48", "generator_version": "3.0"}
{"id": "v3_val_00000375", "prompt": "Solve for x: -4x + 6 = -8(x + 946)", "solution_steps": ["Expand: -4x + 6 = -8x - 7568", "Add 8x to both sides: 4x + 6 = -7568", "Subtract 6 from both sides: 4x = -7574", "Divide both sides by 4: x = -3787/2"], "final_answer": "-3787/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x + 6 = -8(x + 946)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": -8, \"d\": 946}", "seed": "10752410108290224937", "semantic_fingerprint": "sha256:2ba9e021382f8b312e35e8dd38b8e215c55ce26d4c48bb5a0ad1862b82c1937c", "generator_version": "3.0"}
{"id": "v3_val_00000376", "prompt": "Calculate: 63 / 2 + 520", "solution_steps": ["Divide: 63 / 2 = 63/2", "Add: 63/2 + 520 = 1103/2"], "final_answer": "1103/2", "answer_type": "rational", "kind": "expression", "math_text": "63 / 2 + 520", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 2, \"c\": 520}", "seed": "13145134399392614885", "semantic_fingerprint": "sha256:35f2e217e0446ef3bed54391ee695720a9fad8dea04e3d0181062bf8b624dd6a", "generator_version": "3.0"}
{"id": "v3_val_00000377", "prompt": "Calculate: 61 - 92 - 0 / (-167 - (-3)) / 40", "solution_steps": ["Subtract: 61 - 92 = -31", "Subtract: -167 - (-3) = -164", "Divide: 0 / (-164) = 0", "Divide: 0 / 40 = 0", "Subtract: -31 - 0 = -31"], "final_answer": "-31", "answer_type": "integer", "kind": "expression", "math_text": "61 - 92 - 0 / (-167 - (-3)) / 40", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ (/ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 92, \"c\": 0, \"d\": -167, \"e\": -3, \"f\": 40}", "seed": "2938896505342965646", "semantic_fingerprint": "sha256:e5eaf43177b478d2058225442c8944a3a512756684d6b5a08e15ef43181923d7", "generator_version": "3.0"}
{"id": "v3_val_00000378", "prompt": "What value of x satisfies 11x + 30 = 3(x - 159) + 571?", "solution_steps": ["Expand: 11x + 30 = 3x - 477 + 571", "Combine constants: 11x + 30 = 3x + 94", "Subtract 3x from both sides: 8x + 30 = 94", "Subtract 30 from both sides: 8x = 64", "Divide both sides by 8: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 30 = 3(x - 159) + 571", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 30, \"c\": 3, \"d\": 159, \"f\": 571, \"x\": 8}", "seed": "10855501002033880992", "semantic_fingerprint": "sha256:f179f3543a09e46d6c9fc338d7adcb4740f678d55fbe0a3372976aea01d30d4b", "generator_version": "3.0"}
{"id": "v3_val_00000379", "prompt": "Find x: 9(x + 743) - 86 = x", "solution_steps": ["Expand: 9x + 6687 - 86 = x", "Combine constants: 9x + 6601 = x", "Subtract x from both sides: 8x + 6601 = 0", "Subtract 6601 from both sides: 8x = -6601", "Divide both sides by 8: x = -6601/8"], "final_answer": "-6601/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 743) - 86 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 743, \"c\": 86}", "seed": "16394114752122846820", "semantic_fingerprint": "sha256:ceeced3597174778e440ed6fda0e6feef8f62322396cf4399b54bc96eeefb785", "generator_version": "3.0"}
{"id": "v3_val_00000380", "prompt": "Solve the equation -6(x + 94) - 45 = -10(x + 8) - 485 for x.", "solution_steps": ["Expand: -6x - 564 - 45 = -10(x + 8) - 485", "Expand: -6x - 564 - 45 = -10x - 80 - 485", "Combine constants: -6x - 609 = -10x - 80 - 485", "Combine constants: -6x - 609 = -10x - 565", "Add 10x to both sides: 4x - 609 = -565", "Add 609 to both sides: 4x = 44", "Divide both sides by 4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 94) - 45 = -10(x + 8) - 485", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 94, \"c\": 45, \"d\": -10, \"e\": 8, \"g\": -485, \"x\": 11}", "seed": "8863695898511209955", "semantic_fingerprint": "sha256:7527f39f78100471c9a20501d96d42c1a23aa30ee99df81942eb7515cab69a8a", "generator_version": "3.0"}
{"id": "v3_val_00000381", "prompt": "What is 5 * (-1)?", "solution_steps": ["Multiply: 5 * (-1) = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-1)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -1}", "seed": "3558220997256437602", "semantic_fingerprint": "sha256:d7f1e6edb490f83833b53f8031c2225b4db783e726ff125c347f4b2e13b561ad", "generator_version": "3.0"}
{"id": "v3_val_00000382", "prompt": "What is -94 - (-6) / 78?", "solution_steps": ["Divide: -6 / 78 = -1/13", "Subtract: -94 - (-1/13) = -1221/13"], "final_answer": "-1221/13", "answer_type": "rational", "kind": "expression", "math_text": "-94 - (-6) / 78", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -6, \"c\": 78}", "seed": "12897980860365002445", "semantic_fingerprint": "sha256:4fe0d0825e4f98c038657d71ba0389c800e176d9c68490e217d7f9e12c1dec86", "generator_version": "3.0"}
{"id": "v3_val_00000383", "prompt": "Evaluate: -84 / (-2) * (-306 + (-79 + 2 * 496))", "solution_steps": ["Divide: -84 / (-2) = 42", "Multiply: 2 * 496 = 992", "Add: -79 + 992 = 913", "Add: -306 + 913 = 607", "Multiply: 42 * 607 = 25494"], "final_answer": "25494", "answer_type": "integer", "kind": "expression", "math_text": "-84 / (-2) * (-306 + (-79 + 2 * 496))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (+ n (+ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -2, \"c\": -306, \"d\": -79, \"e\": 2, \"f\": 496}", "seed": "11887056635161352257", "semantic_fingerprint": "sha256:43755d27d034e98a93a08130bda0344387586a103c0a7922401c4d226172be59", "generator_version": "3.0"}
{"id": "v3_val_00000384", "prompt": "Evaluate: 68 * (-574 - 25)", "solution_steps": ["Subtract: -574 - 25 = -599", "Multiply: 68 * (-599) = -40732"], "final_answer": "-40732", "answer_type": "integer", "kind": "expression", "math_text": "68 * (-574 - 25)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -574, \"c\": 25}", "seed": "11434452058088647851", "semantic_fingerprint": "sha256:4001d20fc421b3e1ee73136880d54795a16cba990811a90e0d75ac78b525e8fd", "generator_version": "3.0"}
{"id": "v3_val_00000385", "prompt": "What is -205 / (-2) + (-38)?", "solution_steps": ["Divide: -205 / (-2) = 205/2", "Add: 205/2 + (-38) = 129/2"], "final_answer": "129/2", "answer_type": "rational", "kind": "expression", "math_text": "-205 / (-2) + (-38)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -205, \"b\": -2, \"c\": -38}", "seed": "5047148557460493988", "semantic_fingerprint": "sha256:59b1307b72056933d889d22a781766fc6d6a85e23687d1beaec0f781c5738fa2", "generator_version": "3.0"}
{"id": "v3_val_00000386", "prompt": "What value of x satisfies 9(x + 6) + 621 = -9(x - 93)?", "solution_steps": ["Expand: 9x + 54 + 621 = -9(x - 93)", "Expand: 9x + 54 + 621 = -9x + 837", "Combine constants: 9x + 675 = -9x + 837", "Add 9x to both sides: 18x + 675 = 837", "Subtract 675 from both sides: 18x = 162", "Divide both sides by 18: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 6) + 621 = -9(x - 93)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": -9, \"d\": 93, \"f\": 621, \"x\": 9}", "seed": "14396140035941022295", "semantic_fingerprint": "sha256:920fe0140b31e86b170641bad9f2fe93496eb529d816f1d80a98eaee9b8e4b37", "generator_version": "3.0"}
{"id": "v3_val_00000387", "prompt": "Solve for x: -2(x + 49) + 34 = 10x + 39", "solution_steps": ["Expand: -2x - 98 + 34 = 10x + 39", "Combine constants: -2x - 64 = 10x + 39", "Subtract 10x from both sides: -12x - 64 = 39", "Add 64 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": "-2(x + 49) + 34 = 10x + 39", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 49, \"c\": 34, \"d\": 10, \"e\": 39}", "seed": "15222352365792152128", "semantic_fingerprint": "sha256:a34c63d43b0c0d59022b4665714ca26a475bb65f700eb7df3bdbb07da8962859", "generator_version": "3.0"}
{"id": "v3_val_00000388", "prompt": "Solve the equation -10x - 4 = -26 for x.", "solution_steps": ["Add 4 to both sides: -10x = -22", "Divide both sides by -10: x = 11/5"], "final_answer": "11/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x - 4 = -26", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"c\": -26}", "seed": "18379036188874602878", "semantic_fingerprint": "sha256:8cdcfb53284783643116fe6d2183e9117847dc966394ceb52126946309979176", "generator_version": "3.0"}
{"id": "v3_val_00000389", "prompt": "What is 0 * 66 * ((-5 + (-376)) * (-67))?", "solution_steps": ["Multiply: 0 * 66 = 0", "Add: -5 + (-376) = -381", "Multiply: -381 * (-67) = 25527", "Multiply: 0 * 25527 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 66 * ((-5 + (-376)) * (-67))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 66, \"c\": -5, \"d\": -376, \"e\": -67}", "seed": "9476613675618766130", "semantic_fingerprint": "sha256:218ed8947bbd1ca3ff837bea444e6648a905ff43e248be538f65208ffef687d4", "generator_version": "3.0"}
{"id": "v3_val_00000390", "prompt": "Compute: 2 * (-65 - (-5))", "solution_steps": ["Subtract: -65 - (-5) = -60", "Multiply: 2 * (-60) = -120"], "final_answer": "-120", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-65 - (-5))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -65, \"c\": -5}", "seed": "13384599211464584516", "semantic_fingerprint": "sha256:87ac59deb955da0ce976693074712d76f7f130398ab7dead56610399f21b3eaf", "generator_version": "3.0"}
{"id": "v3_val_00000391", "prompt": "Evaluate: 1 - (-28) - 43 + (-9) / (-66 / 29)", "solution_steps": ["Subtract: 1 - (-28) = 29", "Subtract: 29 - 43 = -14", "Divide: -66 / 29 = -66/29", "Divide: -9 / (-66/29) = 87/22", "Add: -14 + 87/22 = -221/22"], "final_answer": "-221/22", "answer_type": "rational", "kind": "expression", "math_text": "1 - (-28) - 43 + (-9) / (-66 / 29)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) n) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -28, \"c\": 43, \"d\": -9, \"e\": -66, \"f\": 29}", "seed": "6760517202387400938", "semantic_fingerprint": "sha256:faf302b697d237162a89f8b6b279f7cc707d0c456466418587c70f5fd8a57249", "generator_version": "3.0"}
{"id": "v3_val_00000392", "prompt": "Compute: 930 * (-3) * 52", "solution_steps": ["Multiply: 930 * (-3) = -2790", "Multiply: -2790 * 52 = -145080"], "final_answer": "-145080", "answer_type": "integer", "kind": "expression", "math_text": "930 * (-3) * 52", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 930, \"b\": -3, \"c\": 52}", "seed": "12235332020552056687", "semantic_fingerprint": "sha256:0254264a01a72000adf7c0773b76fd54c7177d0fe93275f73fbd2c15362a8604", "generator_version": "3.0"}
{"id": "v3_val_00000393", "prompt": "What is -302 * (148 - (-9) * (-2))?", "solution_steps": ["Multiply: -9 * (-2) = 18", "Subtract: 148 - 18 = 130", "Multiply: -302 * 130 = -39260"], "final_answer": "-39260", "answer_type": "integer", "kind": "expression", "math_text": "-302 * (148 - (-9) * (-2))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -302, \"b\": 148, \"c\": -9, \"d\": -2}", "seed": "3327292511720665080", "semantic_fingerprint": "sha256:550de13bed4a5f3b1c528f2aa23735f083815321356073e0aa0eacadfd582844", "generator_version": "3.0"}
{"id": "v3_val_00000394", "prompt": "What is -248 / (-5 / (-953 / (-332)))?", "solution_steps": ["Divide: -953 / (-332) = 953/332", "Divide: -5 / (953/332) = -1660/953", "Divide: -248 / (-1660/953) = 59086/415"], "final_answer": "59086/415", "answer_type": "rational", "kind": "expression", "math_text": "-248 / (-5 / (-953 / (-332)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -248, \"b\": -5, \"c\": -953, \"d\": -332}", "seed": "2533526127992124331", "semantic_fingerprint": "sha256:208b2f56e949ce0a93554825a34989739ea7adddd4b8328c3c57fc8c4d54cdc1", "generator_version": "3.0"}
{"id": "v3_val_00000395", "prompt": "Calculate: -43 / (427 + (-83 + 3))", "solution_steps": ["Add: -83 + 3 = -80", "Add: 427 + (-80) = 347", "Divide: -43 / 347 = -43/347"], "final_answer": "-43/347", "answer_type": "rational", "kind": "expression", "math_text": "-43 / (427 + (-83 + 3))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 427, \"c\": -83, \"d\": 3}", "seed": "16289620476194039127", "semantic_fingerprint": "sha256:7398a8fdf4a679c6af61c69ecc4a8724989e4b3fde0968884f4f49735ab89f4e", "generator_version": "3.0"}
{"id": "v3_val_00000396", "prompt": "Evaluate: -68 - 874 + (-5 + 4)", "solution_steps": ["Subtract: -68 - 874 = -942", "Add: -5 + 4 = -1", "Add: -942 + (-1) = -943"], "final_answer": "-943", "answer_type": "integer", "kind": "expression", "math_text": "-68 - 874 + (-5 + 4)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 874, \"c\": -5, \"d\": 4}", "seed": "5377710997100356434", "semantic_fingerprint": "sha256:615fde3b46468ad10951f6152a020d9204fecd3040ee58710543dae9ccaafec2", "generator_version": "3.0"}
{"id": "v3_val_00000397", "prompt": "Evaluate: -899 - (-1)", "solution_steps": ["Subtract: -899 - (-1) = -898"], "final_answer": "-898", "answer_type": "integer", "kind": "expression", "math_text": "-899 - (-1)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -899, \"b\": -1}", "seed": "12922370965850039543", "semantic_fingerprint": "sha256:5df9b15b2618ae86d8fd67ec4eba6d99fc8decb2e015721864a7297f039a9821", "generator_version": "3.0"}
{"id": "v3_val_00000398", "prompt": "Solve for x: 12(x + 5) = 10(x - 780)", "solution_steps": ["Expand: 12x + 60 = 10(x - 780)", "Expand: 12x + 60 = 10x - 7800", "Subtract 10x from both sides: 2x + 60 = -7800", "Subtract 60 from both sides: 2x = -7860", "Divide both sides by 2: x = -3930"], "final_answer": "-3930", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 5) = 10(x - 780)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 10, \"d\": 780}", "seed": "12225671045898241611", "semantic_fingerprint": "sha256:51b714ef70703eb674873dcd0056b5dca6e0ea743680676d183037fa621f7d27", "generator_version": "3.0"}
{"id": "v3_val_00000399", "prompt": "What is (-841 - (-4)) * ((-5 + 43) / 972)?", "solution_steps": ["Subtract: -841 - (-4) = -837", "Add: -5 + 43 = 38", "Divide: 38 / 972 = 19/486", "Multiply: -837 * (19/486) = -589/18"], "final_answer": "-589/18", "answer_type": "rational", "kind": "expression", "math_text": "(-841 - (-4)) * ((-5 + 43) / 972)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -841, \"b\": -4, \"c\": -5, \"d\": 43, \"e\": 972}", "seed": "2211072500442609654", "semantic_fingerprint": "sha256:4f1eb1749eafe6a51004fe908616cf00ebf5a7939a96e07dfd15e8dbe68c1e01", "generator_version": "3.0"}
{"id": "v3_val_00000400", "prompt": "Solve the equation 5x = 9(x - 81) + 649 for x.", "solution_steps": ["Expand: 5x = 9x - 729 + 649", "Combine constants: 5x = 9x - 80", "Subtract 9x from both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 9(x - 81) + 649", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 81, \"e\": 649, \"x\": 20}", "seed": "12998902237890352604", "semantic_fingerprint": "sha256:f29b09a88e7fee22d6e470079a13a07d87c02df6d492be6302eea9607e935973", "generator_version": "3.0"}
{"id": "v3_val_00000401", "prompt": "What is -282 - (-19) * 0?", "solution_steps": ["Multiply: -19 * 0 = 0", "Subtract: -282 - 0 = -282"], "final_answer": "-282", "answer_type": "integer", "kind": "expression", "math_text": "-282 - (-19) * 0", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -282, \"b\": -19, \"c\": 0}", "seed": "6520912700429518392", "semantic_fingerprint": "sha256:a29eb282853149ceb5e6a03c0b1636ce233e579125c75cc2a925fcb3674efed0", "generator_version": "3.0"}
{"id": "v3_val_00000402", "prompt": "Solve for x: x + 3 = -90", "solution_steps": ["Subtract 3 from both sides: x = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = -90", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -90}", "seed": "14713829311335606829", "semantic_fingerprint": "sha256:35c502c81cfde5fc234a9f4e2394c8110b5c290fe554cb823181629ef2690e0d", "generator_version": "3.0"}
{"id": "v3_val_00000403", "prompt": "What is 7 * (-99 + (-207))?", "solution_steps": ["Add: -99 + (-207) = -306", "Multiply: 7 * (-306) = -2142"], "final_answer": "-2142", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-99 + (-207))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -99, \"c\": -207}", "seed": "15511488628186389071", "semantic_fingerprint": "sha256:d2f384c4701d7baecca465c34928ff498c9160a7927be44533c801920314e810", "generator_version": "3.0"}
{"id": "v3_val_00000404", "prompt": "Calculate: 6 - 4 * (-8)", "solution_steps": ["Multiply: 4 * (-8) = -32", "Subtract: 6 - (-32) = 38"], "final_answer": "38", "answer_type": "integer", "kind": "expression", "math_text": "6 - 4 * (-8)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": -8}", "seed": "2590608685962967402", "semantic_fingerprint": "sha256:788cda2c1ae063b943844a529b80c91eb0a018311ff51a261c8769fc342ca7cb", "generator_version": "3.0"}
{"id": "v3_val_00000405", "prompt": "Calculate: 713 * (11 * (-85))", "solution_steps": ["Multiply: 11 * (-85) = -935", "Multiply: 713 * (-935) = -666655"], "final_answer": "-666655", "answer_type": "integer", "kind": "expression", "math_text": "713 * (11 * (-85))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 713, \"b\": 11, \"c\": -85}", "seed": "13127088338099796040", "semantic_fingerprint": "sha256:4eddce139405daacb8c5c6c5dc17b1e2f7d659dcf0b68da55502c124cf7ce801", "generator_version": "3.0"}
{"id": "v3_val_00000406", "prompt": "What is -432 - (-9) * (-740)?", "solution_steps": ["Multiply: -9 * (-740) = 6660", "Subtract: -432 - 6660 = -7092"], "final_answer": "-7092", "answer_type": "integer", "kind": "expression", "math_text": "-432 - (-9) * (-740)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -432, \"b\": -9, \"c\": -740}", "seed": "17841502504788932817", "semantic_fingerprint": "sha256:5a204b31b2c005a6b09f12cc2b155bc9aa3d6b9d2ee6def6043eaa633c19678a", "generator_version": "3.0"}
{"id": "v3_val_00000407", "prompt": "Find x: 6x + 16 = x - 34", "solution_steps": ["Subtract x from both sides: 5x + 16 = -34", "Subtract 16 from both sides: 5x = -50", "Divide both sides by 5: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 16 = x - 34", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 16, \"d\": -34, \"x\": -10}", "seed": "4297979034811526959", "semantic_fingerprint": "sha256:c6c7ef045263097563b0ab8803b336e63eecd9bd2117baae3bef2c8c104e4178", "generator_version": "3.0"}
{"id": "v3_val_00000408", "prompt": "Solve the equation x = 6(x - 8) - 42 for x.", "solution_steps": ["Expand: x = 6x - 48 - 42", "Combine constants: x = 6x - 90", "Subtract 6x from both sides: -5x = -90", "Divide both sides by -5: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 6(x - 8) - 42", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"d\": -42, \"x\": 18}", "seed": "13379684046142057393", "semantic_fingerprint": "sha256:b375ee48b3a257975696e5bdb8eb741e593c840cecfb8c6ad92c1fc657b70f5b", "generator_version": "3.0"}
{"id": "v3_val_00000409", "prompt": "Calculate: 965 * (35 - (-126))", "solution_steps": ["Subtract: 35 - (-126) = 161", "Multiply: 965 * 161 = 155365"], "final_answer": "155365", "answer_type": "integer", "kind": "expression", "math_text": "965 * (35 - (-126))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 965, \"b\": 35, \"c\": -126}", "seed": "13681926342865663429", "semantic_fingerprint": "sha256:cdbe3b287ccd8e1e1a1a40d9befe57c449bde57893af33a10af22f1669afc265", "generator_version": "3.0"}
{"id": "v3_val_00000410", "prompt": "Compute: -60 - (-728 - 3) + 63 * (-44)", "solution_steps": ["Subtract: -728 - 3 = -731", "Subtract: -60 - (-731) = 671", "Multiply: 63 * (-44) = -2772", "Add: 671 + (-2772) = -2101"], "final_answer": "-2101", "answer_type": "integer", "kind": "expression", "math_text": "-60 - (-728 - 3) + 63 * (-44)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -728, \"c\": 3, \"d\": 63, \"e\": -44}", "seed": "12657849200303186992", "semantic_fingerprint": "sha256:9be82d87594182e6d6fb6d8fdfe2dc1485618707d0286e2a7d9c5c8ebfcd95e6", "generator_version": "3.0"}
{"id": "v3_val_00000411", "prompt": "Evaluate: (8 + (-16)) / 20 / (-5)", "solution_steps": ["Add: 8 + (-16) = -8", "Divide: -8 / 20 = -2/5", "Divide: (-2/5) / (-5) = 2/25"], "final_answer": "2/25", "answer_type": "rational", "kind": "expression", "math_text": "(8 + (-16)) / 20 / (-5)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -16, \"c\": 20, \"d\": -5}", "seed": "3660885270125451682", "semantic_fingerprint": "sha256:9b9bc589f07e4361a7fd8c9f6501a537f9078697233ba5a785a9c01aae5dbc4f", "generator_version": "3.0"}
{"id": "v3_val_00000412", "prompt": "What is 3 - (-2) * 1?", "solution_steps": ["Multiply: -2 * 1 = -2", "Subtract: 3 - (-2) = 5"], "final_answer": "5", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-2) * 1", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -2, \"c\": 1}", "seed": "1574232975035514714", "semantic_fingerprint": "sha256:0bcd9af2542f9f746d9a32bef26b80245efe64999acc06b5b3f3168622127ad2", "generator_version": "3.0"}
{"id": "v3_val_00000413", "prompt": "Find x: x + 41 = -4(x - 6) + 62", "solution_steps": ["Expand: x + 41 = -4x + 24 + 62", "Combine constants: x + 41 = -4x + 86", "Add 4x to both sides: 5x + 41 = 86", "Subtract 41 from both sides: 5x = 45", "Divide both sides by 5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 41 = -4(x - 6) + 62", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -4, \"c\": 6, \"e\": 62, \"x\": 9}", "seed": "9116256928194614462", "semantic_fingerprint": "sha256:f977d70589ce1db1c26fd498df06620124fc86e12676dc63b27b9623dab91850", "generator_version": "3.0"}
{"id": "v3_val_00000414", "prompt": "Compute: 83 + (-3)", "solution_steps": ["Add: 83 + (-3) = 80"], "final_answer": "80", "answer_type": "integer", "kind": "expression", "math_text": "83 + (-3)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -3}", "seed": "12278504319249311506", "semantic_fingerprint": "sha256:28fc626da509fb049fecca55ffa81e9f4de4ce7e20246b27bbd35ebcad70c7f0", "generator_version": "3.0"}
{"id": "v3_val_00000415", "prompt": "Calculate: -735 * 72 - (55 - 98 * (-605)) * (-9)", "solution_steps": ["Multiply: -735 * 72 = -52920", "Multiply: 98 * (-605) = -59290", "Subtract: 55 - (-59290) = 59345", "Multiply: 59345 * (-9) = -534105", "Subtract: -52920 - (-534105) = 481185"], "final_answer": "481185", "answer_type": "integer", "kind": "expression", "math_text": "-735 * 72 - (55 - 98 * (-605)) * (-9)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (- n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -735, \"b\": 72, \"c\": 55, \"d\": 98, \"e\": -605, \"f\": -9}", "seed": "2790451413278151634", "semantic_fingerprint": "sha256:cb1b17b3d88bfc10acc89b626ae2b4c618068f1ef8842b0134bcba7e56ce8e74", "generator_version": "3.0"}
{"id": "v3_val_00000416", "prompt": "Calculate: (568 + 7) * 652", "solution_steps": ["Add: 568 + 7 = 575", "Multiply: 575 * 652 = 374900"], "final_answer": "374900", "answer_type": "integer", "kind": "expression", "math_text": "(568 + 7) * 652", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 568, \"b\": 7, \"c\": 652}", "seed": "3565726166027178592", "semantic_fingerprint": "sha256:01e1f14747e4418c9ca0af4bfca7a5bbf58467d31c1b29b37353e0664726be28", "generator_version": "3.0"}
{"id": "v3_val_00000417", "prompt": "Calculate: (30 - (-36)) * (-3) / (58 + 21)", "solution_steps": ["Subtract: 30 - (-36) = 66", "Multiply: 66 * (-3) = -198", "Add: 58 + 21 = 79", "Divide: -198 / 79 = -198/79"], "final_answer": "-198/79", "answer_type": "rational", "kind": "expression", "math_text": "(30 - (-36)) * (-3) / (58 + 21)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -36, \"c\": -3, \"d\": 58, \"e\": 21}", "seed": "2703821051423952898", "semantic_fingerprint": "sha256:366c6dcf55d4f6f078e78d7f9fc2b95dd88272008a09c022ccc4f2a55e633e1e", "generator_version": "3.0"}
{"id": "v3_val_00000418", "prompt": "What is 24 + (-23 + (-76))?", "solution_steps": ["Add: -23 + (-76) = -99", "Add: 24 + (-99) = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "expression", "math_text": "24 + (-23 + (-76))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -23, \"c\": -76}", "seed": "15527309649586100808", "semantic_fingerprint": "sha256:d7770af3bc463fff440fdc5f70cddce39abd393042d8c4e563eac596bcb31ce1", "generator_version": "3.0"}
{"id": "v3_val_00000419", "prompt": "Calculate: (578 + 760) / (77 - (-43) * 6)", "solution_steps": ["Add: 578 + 760 = 1338", "Multiply: -43 * 6 = -258", "Subtract: 77 - (-258) = 335", "Divide: 1338 / 335 = 1338/335"], "final_answer": "1338/335", "answer_type": "rational", "kind": "expression", "math_text": "(578 + 760) / (77 - (-43) * 6)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 578, \"b\": 760, \"c\": 77, \"d\": -43, \"e\": 6}", "seed": "15500743547013779954", "semantic_fingerprint": "sha256:b7e1cc65a74db9d1e72601da1224570b70ffdc9837ea0a5cc6519d10e55517fa", "generator_version": "3.0"}
{"id": "v3_val_00000420", "prompt": "Compute: 407 + 2", "solution_steps": ["Add: 407 + 2 = 409"], "final_answer": "409", "answer_type": "integer", "kind": "expression", "math_text": "407 + 2", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 407, \"b\": 2}", "seed": "14189124418679520691", "semantic_fingerprint": "sha256:b4e79286996c8d0cba95fafec1df920722a23dbfdff40c6b883c99c9ddcfbe68", "generator_version": "3.0"}
{"id": "v3_val_00000421", "prompt": "What is -29 + (-8) + (-9)?", "solution_steps": ["Add: -29 + (-8) = -37", "Add: -37 + (-9) = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "-29 + (-8) + (-9)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -8, \"c\": -9}", "seed": "7237594026393983856", "semantic_fingerprint": "sha256:ccb444ed0637ccca30f91524b9dcde3daa4cfe14553bc35b2434ab7869682ffb", "generator_version": "3.0"}
{"id": "v3_val_00000422", "prompt": "Compute: -2 + (-902)", "solution_steps": ["Add: -2 + (-902) = -904"], "final_answer": "-904", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-902)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -902}", "seed": "3198036456479038218", "semantic_fingerprint": "sha256:dbc109da3861d62f80ef1a2806d7eb3190b30e47370504f3ac9bffe0f95fba76", "generator_version": "3.0"}
{"id": "v3_val_00000423", "prompt": "Calculate: 7 * (6 / 187) + 1", "solution_steps": ["Divide: 6 / 187 = 6/187", "Multiply: 7 * (6/187) = 42/187", "Add: 42/187 + 1 = 229/187"], "final_answer": "229/187", "answer_type": "rational", "kind": "expression", "math_text": "7 * (6 / 187) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 187, \"d\": 1}", "seed": "1563002851789802044", "semantic_fingerprint": "sha256:6ee87ab569662f86782e66ef2b634fad099f2758092b467d09c6dba3e36007d9", "generator_version": "3.0"}
{"id": "v3_val_00000424", "prompt": "Calculate: (3 - 16) * 67", "solution_steps": ["Subtract: 3 - 16 = -13", "Multiply: -13 * 67 = -871"], "final_answer": "-871", "answer_type": "integer", "kind": "expression", "math_text": "(3 - 16) * 67", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 16, \"c\": 67}", "seed": "15941024925326371438", "semantic_fingerprint": "sha256:63781d111f47f5476241ab4df03e9c28e2177dd80acb419a8218ef62a28cda49", "generator_version": "3.0"}
{"id": "v3_val_00000425", "prompt": "What is 37 + (-896) / 1?", "solution_steps": ["Divide: -896 / 1 = -896", "Add: 37 + (-896) = -859"], "final_answer": "-859", "answer_type": "integer", "kind": "expression", "math_text": "37 + (-896) / 1", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -896, \"c\": 1}", "seed": "10344299583894023536", "semantic_fingerprint": "sha256:a3b8d2410eeacc33fb39f9ff30e694fdde109a52a8ead3dccd643a91f6ea8bfa", "generator_version": "3.0"}
{"id": "v3_val_00000426", "prompt": "Evaluate: 97 - (-6)", "solution_steps": ["Subtract: 97 - (-6) = 103"], "final_answer": "103", "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": "12063510865884157910", "semantic_fingerprint": "sha256:4a01f9ff563f1b135bb0360375bbc65b86eb5c0f48dfb01f1155229a340ae1b3", "generator_version": "3.0"}
{"id": "v3_val_00000427", "prompt": "Solve the equation 7(x + 6) + 55 = 6(x - 46) + 372 for x.", "solution_steps": ["Expand: 7x + 42 + 55 = 6(x - 46) + 372", "Expand: 7x + 42 + 55 = 6x - 276 + 372", "Combine constants: 7x + 97 = 6x - 276 + 372", "Combine constants: 7x + 97 = 6x + 96", "Subtract 6x from both sides: x + 97 = 96", "Subtract 97 from both sides: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 6) + 55 = 6(x - 46) + 372", "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\": 55, \"d\": 6, \"e\": 46, \"g\": 372, \"x\": -1}", "seed": "9021229770077834353", "semantic_fingerprint": "sha256:d807460f84c95cf27b41b6743a2cee53bcbbf0d717818a1653e2f124736a172b", "generator_version": "3.0"}
{"id": "v3_val_00000428", "prompt": "Solve the equation 10(x - 2) = 9(x - 1) - 2 for x.", "solution_steps": ["Expand: 10x - 20 = 9(x - 1) - 2", "Expand: 10x - 20 = 9x - 9 - 2", "Combine constants: 10x - 20 = 9x - 11", "Subtract 9x from both sides: x - 20 = -11", "Add 20 to both sides: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 2) = 9(x - 1) - 2", "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\": 9, \"d\": 1, \"e\": 2}", "seed": "14639744233711985181", "semantic_fingerprint": "sha256:9f69c2546534cdbc41d8fcfc200b867699b2e8af84fcfa7617d38d41483b75fa", "generator_version": "3.0"}
{"id": "v3_val_00000429", "prompt": "Find x: -10(x - 9) = -4(x + 43) - 74", "solution_steps": ["Expand: -10x + 90 = -4(x + 43) - 74", "Expand: -10x + 90 = -4x - 172 - 74", "Combine constants: -10x + 90 = -4x - 246", "Add 4x to both sides: -6x + 90 = -246", "Subtract 90 from both sides: -6x = -336", "Divide both sides by -6: x = 56"], "final_answer": "56", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 9) = -4(x + 43) - 74", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 9, \"c\": -4, \"d\": 43, \"e\": 74}", "seed": "1956408343700609241", "semantic_fingerprint": "sha256:8cc4aba6b669abbe5544be140729729114bbbde9ab894885745ba978d868e0a7", "generator_version": "3.0"}
{"id": "v3_val_00000430", "prompt": "Find x: 11(x + 8) = 5(x - 38)", "solution_steps": ["Expand: 11x + 88 = 5(x - 38)", "Expand: 11x + 88 = 5x - 190", "Subtract 5x from both sides: 6x + 88 = -190", "Subtract 88 from both sides: 6x = -278", "Divide both sides by 6: x = -139/3"], "final_answer": "-139/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 8) = 5(x - 38)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 5, \"d\": 38}", "seed": "7579313033774670677", "semantic_fingerprint": "sha256:5727c15d78cf29e7a867a6b4192739cbce36ebe62bea9dd7ba6f08d0066cf78c", "generator_version": "3.0"}
{"id": "v3_val_00000431", "prompt": "What value of x satisfies x - 346 = 2x?", "solution_steps": ["Subtract 2x from both sides: -x - 346 = 0", "Add 346 to both sides: -x = 346", "Divide both sides by -1: x = -346"], "final_answer": "-346", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 346 = 2x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 346, \"b\": 2}", "seed": "973712091452288960", "semantic_fingerprint": "sha256:f5d4b0c42be13616a5d2e0b41f00fb6fd8313a43c49d97dd97a666594c127ae1", "generator_version": "3.0"}
{"id": "v3_val_00000432", "prompt": "What value of x satisfies 5(x - 23) = 3(x - 2) - 143?", "solution_steps": ["Expand: 5x - 115 = 3(x - 2) - 143", "Expand: 5x - 115 = 3x - 6 - 143", "Combine constants: 5x - 115 = 3x - 149", "Subtract 3x from both sides: 2x - 115 = -149", "Add 115 to both sides: 2x = -34", "Divide both sides by 2: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 23) = 3(x - 2) - 143", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 23, \"c\": 3, \"d\": 2, \"f\": -143, \"x\": -17}", "seed": "6203254894324423271", "semantic_fingerprint": "sha256:1bab8182e92788951d405796d8f0855d9e7c97e353660d90629b7ec301614623", "generator_version": "3.0"}
{"id": "v3_val_00000433", "prompt": "Solve the equation -4(x - 98) - 417 = x for x.", "solution_steps": ["Expand: -4x + 392 - 417 = x", "Combine constants: -4x - 25 = x", "Subtract x from both sides: -5x - 25 = 0", "Add 25 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 - 98) - 417 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 98, \"d\": -417, \"x\": -5}", "seed": "5134906587262256938", "semantic_fingerprint": "sha256:dc17d4d1ac1df4df2354f740f19be1c060809af6ccf0d064c751b261bec8b3ed", "generator_version": "3.0"}
{"id": "v3_val_00000434", "prompt": "Compute: 19 - (2 + (-94))", "solution_steps": ["Add: 2 + (-94) = -92", "Subtract: 19 - (-92) = 111"], "final_answer": "111", "answer_type": "integer", "kind": "expression", "math_text": "19 - (2 + (-94))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 2, \"c\": -94}", "seed": "6171693391568064411", "semantic_fingerprint": "sha256:2e889cb0bcfcb44dc57ad595c9acc12b9465863964e61476a197ff220d0a34df", "generator_version": "3.0"}
{"id": "v3_val_00000435", "prompt": "What is -28 - 8?", "solution_steps": ["Subtract: -28 - 8 = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "expression", "math_text": "-28 - 8", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 8}", "seed": "8990828193595646682", "semantic_fingerprint": "sha256:1e27a6bc2dc7de1d84d7d4dfdac703f673be1ccf84a37d724ccac9c282aa6126", "generator_version": "3.0"}
{"id": "v3_val_00000436", "prompt": "Compute: 29 + (0 + (-80) - (-1))", "solution_steps": ["Add: 0 + (-80) = -80", "Subtract: -80 - (-1) = -79", "Add: 29 + (-79) = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "expression", "math_text": "29 + (0 + (-80) - (-1))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 0, \"c\": -80, \"d\": -1}", "seed": "10031025714044312896", "semantic_fingerprint": "sha256:516dc081517bc1f3d725b41d8835462cac92bd62a5949397acff3c3b374fa382", "generator_version": "3.0"}
{"id": "v3_val_00000437", "prompt": "Compute: 2 - 0 + (-6 + (-8 + (-21)) / 34)", "solution_steps": ["Subtract: 2 - 0 = 2", "Add: -8 + (-21) = -29", "Divide: -29 / 34 = -29/34", "Add: -6 + (-29/34) = -233/34", "Add: 2 + (-233/34) = -165/34"], "final_answer": "-165/34", "answer_type": "rational", "kind": "expression", "math_text": "2 - 0 + (-6 + (-8 + (-21)) / 34)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ n (/ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": -6, \"d\": -8, \"e\": -21, \"f\": 34}", "seed": "3588120245361036858", "semantic_fingerprint": "sha256:074d098315de69c16216ddc421ac7290dfcaac511b2c999c25b285d1cff5e450", "generator_version": "3.0"}
{"id": "v3_val_00000438", "prompt": "Compute: -85 * (-8) / (-946 - 49)", "solution_steps": ["Multiply: -85 * (-8) = 680", "Subtract: -946 - 49 = -995", "Divide: 680 / (-995) = -136/199"], "final_answer": "-136/199", "answer_type": "rational", "kind": "expression", "math_text": "-85 * (-8) / (-946 - 49)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -8, \"c\": -946, \"d\": 49}", "seed": "12172980556801393939", "semantic_fingerprint": "sha256:2280aad03b7956b844ef339ac0e320e9dd3571b547896a500338627bc6c0ed2e", "generator_version": "3.0"}
{"id": "v3_val_00000439", "prompt": "Calculate: -66 + 677 + (-485) + (-4)", "solution_steps": ["Add: -66 + 677 = 611", "Add: 611 + (-485) = 126", "Add: 126 + (-4) = 122"], "final_answer": "122", "answer_type": "integer", "kind": "expression", "math_text": "-66 + 677 + (-485) + (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 677, \"c\": -485, \"d\": -4}", "seed": "17107167908824716601", "semantic_fingerprint": "sha256:f8f6853bce5765c22a20cc0fb2937f941a18416fcbadadc7e0028089f21912a4", "generator_version": "3.0"}
{"id": "v3_val_00000440", "prompt": "What is 3 / (-64) - 8?", "solution_steps": ["Divide: 3 / (-64) = -3/64", "Subtract: -3/64 - 8 = -515/64"], "final_answer": "-515/64", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-64) - 8", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -64, \"c\": 8}", "seed": "13534929727880358829", "semantic_fingerprint": "sha256:6ad43406bbca248896828346353095533645919e69d797c6f80c917539e8f35e", "generator_version": "3.0"}
{"id": "v3_val_00000441", "prompt": "What is 66 * (-2 + (-5))?", "solution_steps": ["Add: -2 + (-5) = -7", "Multiply: 66 * (-7) = -462"], "final_answer": "-462", "answer_type": "integer", "kind": "expression", "math_text": "66 * (-2 + (-5))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -2, \"c\": -5}", "seed": "4699116821010092257", "semantic_fingerprint": "sha256:11475b5adde2db2d4ce98cc117aaeae30c1e09b94bbdf10a1c4a1303f3e1b48a", "generator_version": "3.0"}
{"id": "v3_val_00000442", "prompt": "Solve the equation 6x = 11(x + 728) for x.", "solution_steps": ["Expand: 6x = 11x + 8008", "Subtract 11x from both sides: -5x = 8008", "Divide both sides by -5: x = -8008/5"], "final_answer": "-8008/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = 11(x + 728)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 11, \"c\": 728}", "seed": "8850733019701583426", "semantic_fingerprint": "sha256:28ffcd6ae332ff3de1d4ad78a12f0fb1306bcfe065fdf83edeca54da46fa5e86", "generator_version": "3.0"}
{"id": "v3_val_00000443", "prompt": "Compute: 83 * 35 / (677 - 793 - (-48))", "solution_steps": ["Multiply: 83 * 35 = 2905", "Subtract: 677 - 793 = -116", "Subtract: -116 - (-48) = -68", "Divide: 2905 / (-68) = -2905/68"], "final_answer": "-2905/68", "answer_type": "rational", "kind": "expression", "math_text": "83 * 35 / (677 - 793 - (-48))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 35, \"c\": 677, \"d\": 793, \"e\": -48}", "seed": "1899095596470231626", "semantic_fingerprint": "sha256:014269c6eaa889e1e72770947adeb354a25d779dc271ee3ea5741b329ddb2a9c", "generator_version": "3.0"}
{"id": "v3_val_00000444", "prompt": "Evaluate: -7 - (-3)", "solution_steps": ["Subtract: -7 - (-3) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-3)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -3}", "seed": "3495652393278219369", "semantic_fingerprint": "sha256:0975130871629f6e03d5d6a3b4a72fc4817ef2b424c9d8f1b2ca2f2ae0d300f8", "generator_version": "3.0"}
{"id": "v3_val_00000445", "prompt": "What value of x satisfies 7(x + 5) - 20 = 9(x + 5)?", "solution_steps": ["Expand: 7x + 35 - 20 = 9(x + 5)", "Expand: 7x + 35 - 20 = 9x + 45", "Combine constants: 7x + 15 = 9x + 45", "Subtract 9x from both sides: -2x + 15 = 45", "Subtract 15 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 + 5) - 20 = 9(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 9, \"d\": 5, \"f\": -20, \"x\": -15}", "seed": "13366320218653017327", "semantic_fingerprint": "sha256:ab81b35a6a23b706628430d2b8a738e79396f02cca9be56979493079d467f139", "generator_version": "3.0"}
{"id": "v3_val_00000446", "prompt": "Find x: 4(x - 5) - 99 = -11(x - 1) + 3", "solution_steps": ["Expand: 4x - 20 - 99 = -11(x - 1) + 3", "Expand: 4x - 20 - 99 = -11x + 11 + 3", "Combine constants: 4x - 119 = -11x + 11 + 3", "Combine constants: 4x - 119 = -11x + 14", "Add 11x to both sides: 15x - 119 = 14", "Add 119 to both sides: 15x = 133", "Divide both sides by 15: x = 133/15"], "final_answer": "133/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 5) - 99 = -11(x - 1) + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 99, \"d\": -11, \"e\": 1, \"f\": 3}", "seed": "9483033621637517024", "semantic_fingerprint": "sha256:3f718453c2c2b2fc17f9a3d7d88b1f8cfbd23e7a37619d3ac86945c08ac7b4bc", "generator_version": "3.0"}
{"id": "v3_val_00000447", "prompt": "Calculate: 33 * 27", "solution_steps": ["Multiply: 33 * 27 = 891"], "final_answer": "891", "answer_type": "integer", "kind": "expression", "math_text": "33 * 27", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 27}", "seed": "394190713287957884", "semantic_fingerprint": "sha256:6d611a514cf63612ffe0f8be1cec4b5f9be22212d78acb80082994b1cf5a7bd6", "generator_version": "3.0"}
{"id": "v3_val_00000448", "prompt": "Compute: -53 / (-2) * (50 - 6)", "solution_steps": ["Divide: -53 / (-2) = 53/2", "Subtract: 50 - 6 = 44", "Multiply: (53/2) * 44 = 1166"], "final_answer": "1166", "answer_type": "integer", "kind": "expression", "math_text": "-53 / (-2) * (50 - 6)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -2, \"c\": 50, \"d\": 6}", "seed": "6935085422761574978", "semantic_fingerprint": "sha256:42201aeed67b0374b8c8077cb909bfbc6325e4fe04ea62e3d2642d2dac163a26", "generator_version": "3.0"}
{"id": "v3_val_00000449", "prompt": "Evaluate: -7 * (888 * (-96))", "solution_steps": ["Multiply: 888 * (-96) = -85248", "Multiply: -7 * (-85248) = 596736"], "final_answer": "596736", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (888 * (-96))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 888, \"c\": -96}", "seed": "14896124179880927863", "semantic_fingerprint": "sha256:6ddd73127e2dc63043241cb0aa79fd65b84241e7ec337790c682d64a25aaec71", "generator_version": "3.0"}
{"id": "v3_val_00000450", "prompt": "Compute: -669 / (71 - (-786))", "solution_steps": ["Subtract: 71 - (-786) = 857", "Divide: -669 / 857 = -669/857"], "final_answer": "-669/857", "answer_type": "rational", "kind": "expression", "math_text": "-669 / (71 - (-786))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -669, \"b\": 71, \"c\": -786}", "seed": "5802952445022776001", "semantic_fingerprint": "sha256:85c75507b7e1de989370b015f0815cdcc9ea5d23975ffbe5ae62b8d8eca18f64", "generator_version": "3.0"}
{"id": "v3_val_00000451", "prompt": "Calculate: -3 * (251 / 773)", "solution_steps": ["Divide: 251 / 773 = 251/773", "Multiply: -3 * (251/773) = -753/773"], "final_answer": "-753/773", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (251 / 773)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 251, \"c\": 773}", "seed": "10813386858348423705", "semantic_fingerprint": "sha256:c9b3119af2390aceec2b790ad548a70bc5bf58f434f79a6e8bf8084fe0d28fe0", "generator_version": "3.0"}
{"id": "v3_val_00000452", "prompt": "Solve for x: 12x = x - 154", "solution_steps": ["Subtract x from both sides: 11x = -154", "Divide both sides by 11: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = x - 154", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -154, \"x\": -14}", "seed": "6050842454811266439", "semantic_fingerprint": "sha256:b2823b90b2ea0df6d46406b469e0c928797d79c7b810b22c4caa72aa59261737", "generator_version": "3.0"}
{"id": "v3_val_00000453", "prompt": "Evaluate: 3 * 3 - (-6 + 425)", "solution_steps": ["Multiply: 3 * 3 = 9", "Add: -6 + 425 = 419", "Subtract: 9 - 419 = -410"], "final_answer": "-410", "answer_type": "integer", "kind": "expression", "math_text": "3 * 3 - (-6 + 425)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": -6, \"d\": 425}", "seed": "13276464134241862072", "semantic_fingerprint": "sha256:9ab50da111118e1d54ef2530c990713c86e1c7a6ffd405f4c30598a3a5b2412a", "generator_version": "3.0"}
{"id": "v3_val_00000454", "prompt": "Calculate: 0 + (-39 - (801 - 77 * (-12)))", "solution_steps": ["Multiply: 77 * (-12) = -924", "Subtract: 801 - (-924) = 1725", "Subtract: -39 - 1725 = -1764", "Add: 0 + (-1764) = -1764"], "final_answer": "-1764", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-39 - (801 - 77 * (-12)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (- n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -39, \"c\": 801, \"d\": 77, \"e\": -12}", "seed": "7670048839516970536", "semantic_fingerprint": "sha256:1d7c01368b523d413fa527791a5a0a58eefb70ae152cd7afc62f3df84a4632fc", "generator_version": "3.0"}
{"id": "v3_val_00000455", "prompt": "Solve the equation 10x = -7x for x.", "solution_steps": ["Add 7x to both sides: 17x = 0", "Divide both sides by 17: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -7x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -7}", "seed": "9592597783807462751", "semantic_fingerprint": "sha256:fb50a0da66c2b8378e1e6e2f1b9785c0f9d6997684701d7e5918a878a0edf08a", "generator_version": "3.0"}
{"id": "v3_val_00000456", "prompt": "Calculate: 74 - (-9) + (-97)", "solution_steps": ["Subtract: 74 - (-9) = 83", "Add: 83 + (-97) = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "expression", "math_text": "74 - (-9) + (-97)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -9, \"c\": -97}", "seed": "6887963048072979986", "semantic_fingerprint": "sha256:abfe481eaafaca18a365388780808021a1ef059356b86ce111bfcfe2c3e4b858", "generator_version": "3.0"}
{"id": "v3_val_00000457", "prompt": "Solve the equation 3(x - 40) - 96 = x - 2 for x.", "solution_steps": ["Expand: 3x - 120 - 96 = x - 2", "Combine constants: 3x - 216 = x - 2", "Subtract x from both sides: 2x - 216 = -2", "Add 216 to both sides: 2x = 214", "Divide both sides by 2: x = 107"], "final_answer": "107", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 40) - 96 = x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 40, \"c\": 96, \"d\": 2}", "seed": "8313873169003975532", "semantic_fingerprint": "sha256:23fbd23b4db4b1efc9e2f3f2101f0b388c486b593b4e1fdfa503add7f6b4a162", "generator_version": "3.0"}
{"id": "v3_val_00000458", "prompt": "What value of x satisfies 5x + 70 = 11(x + 88) - 850?", "solution_steps": ["Expand: 5x + 70 = 11x + 968 - 850", "Combine constants: 5x + 70 = 11x + 118", "Subtract 11x from both sides: -6x + 70 = 118", "Subtract 70 from both sides: -6x = 48", "Divide both sides by -6: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 70 = 11(x + 88) - 850", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 70, \"c\": 11, \"d\": 88, \"f\": -850, \"x\": -8}", "seed": "10750083927776026668", "semantic_fingerprint": "sha256:21e8ce9d71e6a22d80c6166ad623906d5d1bb5388930fed718492a8640c1c019", "generator_version": "3.0"}
{"id": "v3_val_00000459", "prompt": "Compute: 643 / 31", "solution_steps": ["Divide: 643 / 31 = 643/31"], "final_answer": "643/31", "answer_type": "rational", "kind": "expression", "math_text": "643 / 31", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 643, \"b\": 31}", "seed": "17122255519204613728", "semantic_fingerprint": "sha256:48f87cb934869b8b8fd838ca6b1b4fcc1ac560e554d97769fa62f60b2568700b", "generator_version": "3.0"}
{"id": "v3_val_00000460", "prompt": "Evaluate: -71 - 7 - (-45 - 636) / (-86)", "solution_steps": ["Subtract: -71 - 7 = -78", "Subtract: -45 - 636 = -681", "Divide: -681 / (-86) = 681/86", "Subtract: -78 - 681/86 = -7389/86"], "final_answer": "-7389/86", "answer_type": "rational", "kind": "expression", "math_text": "-71 - 7 - (-45 - 636) / (-86)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 7, \"c\": -45, \"d\": 636, \"e\": -86}", "seed": "5669394882103111299", "semantic_fingerprint": "sha256:e95205fad06dd7dfaa004b7e87b379e6bf8908ef55e464f9cb3b4e640f06ec0a", "generator_version": "3.0"}
{"id": "v3_val_00000461", "prompt": "Calculate: -40 / (-16 - (-5))", "solution_steps": ["Subtract: -16 - (-5) = -11", "Divide: -40 / (-11) = 40/11"], "final_answer": "40/11", "answer_type": "rational", "kind": "expression", "math_text": "-40 / (-16 - (-5))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -16, \"c\": -5}", "seed": "603757657890887553", "semantic_fingerprint": "sha256:186f5540e6fbffd65a380c29ebd624d6743026b11ad19f7fcfcd39d96fcd739a", "generator_version": "3.0"}
{"id": "v3_val_00000462", "prompt": "Solve the equation 7(x + 60) - 379 = -4(x + 9) for x.", "solution_steps": ["Expand: 7x + 420 - 379 = -4(x + 9)", "Expand: 7x + 420 - 379 = -4x - 36", "Combine constants: 7x + 41 = -4x - 36", "Add 4x to both sides: 11x + 41 = -36", "Subtract 41 from both sides: 11x = -77", "Divide both sides by 11: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 60) - 379 = -4(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 60, \"c\": -4, \"d\": 9, \"f\": -379, \"x\": -7}", "seed": "6754932926668674597", "semantic_fingerprint": "sha256:645245661ccf878a006aac9f34b1f508715ab999ebe12af83a467f6503dbcf7a", "generator_version": "3.0"}
{"id": "v3_val_00000463", "prompt": "What is -31 + 2?", "solution_steps": ["Add: -31 + 2 = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "expression", "math_text": "-31 + 2", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 2}", "seed": "2481321975928883771", "semantic_fingerprint": "sha256:0b696d17edb8b9a4a99be4c78355738e04cdca536a4e5c5057871ce75f85d4e9", "generator_version": "3.0"}
{"id": "v3_val_00000464", "prompt": "Compute: 0 + 4 / (18 / (-19)) + (85 + (-45))", "solution_steps": ["Divide: 18 / (-19) = -18/19", "Divide: 4 / (-18/19) = -38/9", "Add: 0 + (-38/9) = -38/9", "Add: 85 + (-45) = 40", "Add: -38/9 + 40 = 322/9"], "final_answer": "322/9", "answer_type": "rational", "kind": "expression", "math_text": "0 + 4 / (18 / (-19)) + (85 + (-45))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (/ n (/ n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 4, \"c\": 18, \"d\": -19, \"e\": 85, \"f\": -45}", "seed": "288859936537563745", "semantic_fingerprint": "sha256:de74ea30107a2a5781f9080146146f304749c0682d791443e85f5d8e25e4617a", "generator_version": "3.0"}
{"id": "v3_val_00000465", "prompt": "Compute: 5 * ((-59 - (-12)) / (-193))", "solution_steps": ["Subtract: -59 - (-12) = -47", "Divide: -47 / (-193) = 47/193", "Multiply: 5 * (47/193) = 235/193"], "final_answer": "235/193", "answer_type": "rational", "kind": "expression", "math_text": "5 * ((-59 - (-12)) / (-193))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -59, \"c\": -12, \"d\": -193}", "seed": "12179790950330467613", "semantic_fingerprint": "sha256:b9b3ad07eed492a77e19ca426f030246b841549e35c4249d7333f56b024197b6", "generator_version": "3.0"}
{"id": "v3_val_00000466", "prompt": "Solve for x: -6x + 613 = 8x - 533", "solution_steps": ["Subtract 8x from both sides: -14x + 613 = -533", "Subtract 613 from both sides: -14x = -1146", "Divide both sides by -14: x = 573/7"], "final_answer": "573/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x + 613 = 8x - 533", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 613, \"c\": 8, \"d\": 533}", "seed": "16792257772229609978", "semantic_fingerprint": "sha256:7d3490ce698003f0e8544a81f5d8b921e875b63804fb520330144c063e6d6590", "generator_version": "3.0"}
{"id": "v3_val_00000467", "prompt": "What is 25 / (-4) * (14 * (-10))?", "solution_steps": ["Divide: 25 / (-4) = -25/4", "Multiply: 14 * (-10) = -140", "Multiply: (-25/4) * (-140) = 875"], "final_answer": "875", "answer_type": "integer", "kind": "expression", "math_text": "25 / (-4) * (14 * (-10))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -4, \"c\": 14, \"d\": -10}", "seed": "7078639201530475813", "semantic_fingerprint": "sha256:c7a6b6470e9c5ff59ecb43bbb89dbc1218b9fd0db5483b6feba0e30fa2ca45f2", "generator_version": "3.0"}
{"id": "v3_val_00000468", "prompt": "What is 1 - 958 * (-1) - (-2) / (-46)?", "solution_steps": ["Multiply: 958 * (-1) = -958", "Subtract: 1 - (-958) = 959", "Divide: -2 / (-46) = 1/23", "Subtract: 959 - 1/23 = 22056/23"], "final_answer": "22056/23", "answer_type": "rational", "kind": "expression", "math_text": "1 - 958 * (-1) - (-2) / (-46)", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 958, \"c\": -1, \"d\": -2, \"e\": -46}", "seed": "2902542055309247276", "semantic_fingerprint": "sha256:87fc5be523e45b5a42f136aa4c8a9cd7c8a08d6faf6dfbf31d21b9e7a6564752", "generator_version": "3.0"}
{"id": "v3_val_00000469", "prompt": "Solve the equation -4(x + 129) - 83 = -244 for x.", "solution_steps": ["Expand: -4x - 516 - 83 = -244", "Combine constants: -4x - 599 = -244", "Add 599 to both sides: -4x = 355", "Divide both sides by -4: x = -355/4"], "final_answer": "-355/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 129) - 83 = -244", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 129, \"c\": 83, \"d\": -244}", "seed": "16673660611754668431", "semantic_fingerprint": "sha256:55d9af589a8b3cfae45cd34f76d434a46f9b8378a7b9fd9c43a53cf3a8286a3b", "generator_version": "3.0"}
{"id": "v3_val_00000470", "prompt": "Solve for x: 8(x + 9) = 4(x + 35)", "solution_steps": ["Expand: 8x + 72 = 4(x + 35)", "Expand: 8x + 72 = 4x + 140", "Subtract 4x from both sides: 4x + 72 = 140", "Subtract 72 from both sides: 4x = 68", "Divide both sides by 4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 9) = 4(x + 35)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 4, \"d\": 35}", "seed": "16905684492243642464", "semantic_fingerprint": "sha256:82f54b8ca897748e60c525622998e4ec309f622245ac113532c1d9e61db26496", "generator_version": "3.0"}
{"id": "v3_val_00000471", "prompt": "Evaluate: 35 / 8 + 868 - (-42)", "solution_steps": ["Divide: 35 / 8 = 35/8", "Add: 35/8 + 868 = 6979/8", "Subtract: 6979/8 - (-42) = 7315/8"], "final_answer": "7315/8", "answer_type": "rational", "kind": "expression", "math_text": "35 / 8 + 868 - (-42)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 8, \"c\": 868, \"d\": -42}", "seed": "15498532708660313904", "semantic_fingerprint": "sha256:bb44c5ca2c65209b5dff66fc33d1d39433147ce7e3ca256cbed0f574d0633a91", "generator_version": "3.0"}
{"id": "v3_val_00000472", "prompt": "Calculate: 647 / (-47) / (-38 - (-6) + (3 - (-19)))", "solution_steps": ["Divide: 647 / (-47) = -647/47", "Subtract: -38 - (-6) = -32", "Subtract: 3 - (-19) = 22", "Add: -32 + 22 = -10", "Divide: (-647/47) / (-10) = 647/470"], "final_answer": "647/470", "answer_type": "rational", "kind": "expression", "math_text": "647 / (-47) / (-38 - (-6) + (3 - (-19)))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (+ (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 647, \"b\": -47, \"c\": -38, \"d\": -6, \"e\": 3, \"f\": -19}", "seed": "14784783993437721103", "semantic_fingerprint": "sha256:fe011b28208bfb92df7b7069bd234d5ccd25be1611519dd9bed7bfeca7059a0f", "generator_version": "3.0"}
{"id": "v3_val_00000473", "prompt": "Solve the equation -10(x + 3) + 218 = 9(x + 4) for x.", "solution_steps": ["Expand: -10x - 30 + 218 = 9(x + 4)", "Expand: -10x - 30 + 218 = 9x + 36", "Combine constants: -10x + 188 = 9x + 36", "Subtract 9x from both sides: -19x + 188 = 36", "Subtract 188 from both sides: -19x = -152", "Divide both sides by -19: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 3) + 218 = 9(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"c\": 9, \"d\": 4, \"f\": 218, \"x\": 8}", "seed": "6829454476936613265", "semantic_fingerprint": "sha256:21b5bf293e4fc66d30a583cdcd051695367fe4a255082dcaed063a31a0a8ae7f", "generator_version": "3.0"}
{"id": "v3_val_00000474", "prompt": "Compute: 99 * (-6 - (-44)) + (8 + 7)", "solution_steps": ["Subtract: -6 - (-44) = 38", "Multiply: 99 * 38 = 3762", "Add: 8 + 7 = 15", "Add: 3762 + 15 = 3777"], "final_answer": "3777", "answer_type": "integer", "kind": "expression", "math_text": "99 * (-6 - (-44)) + (8 + 7)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -6, \"c\": -44, \"d\": 8, \"e\": 7}", "seed": "8346171555496119950", "semantic_fingerprint": "sha256:a82a619f629705cedd5e2ddd37bffd14caed0c78190aedc31641bf33e99feed6", "generator_version": "3.0"}
{"id": "v3_val_00000475", "prompt": "Calculate: 8 - (-9)", "solution_steps": ["Subtract: 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": "9661716952053984171", "semantic_fingerprint": "sha256:8c876c8b89c4b1095426a0f69caf7ee27857d203263c64ef23d0d40289d69923", "generator_version": "3.0"}
{"id": "v3_val_00000476", "prompt": "Calculate: 86 + (-3) - (2 - (-60))", "solution_steps": ["Add: 86 + (-3) = 83", "Subtract: 2 - (-60) = 62", "Subtract: 83 - 62 = 21"], "final_answer": "21", "answer_type": "integer", "kind": "expression", "math_text": "86 + (-3) - (2 - (-60))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -3, \"c\": 2, \"d\": -60}", "seed": "2143865822906639629", "semantic_fingerprint": "sha256:a9d4c87943d4676bbb8a3203d29f4ad6fc63d8b7b759c6227a3b7f2fb91294ac", "generator_version": "3.0"}
{"id": "v3_val_00000477", "prompt": "Calculate: (-370 + (-2)) / (53 * (-66))", "solution_steps": ["Add: -370 + (-2) = -372", "Multiply: 53 * (-66) = -3498", "Divide: -372 / (-3498) = 62/583"], "final_answer": "62/583", "answer_type": "rational", "kind": "expression", "math_text": "(-370 + (-2)) / (53 * (-66))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -370, \"b\": -2, \"c\": 53, \"d\": -66}", "seed": "8495367197281090946", "semantic_fingerprint": "sha256:39c97d56b297b8199955a9135adce275eaaa461b2c9a1939f4553d964f7d6f10", "generator_version": "3.0"}
{"id": "v3_val_00000478", "prompt": "Evaluate: -42 * (6 + 42)", "solution_steps": ["Add: 6 + 42 = 48", "Multiply: -42 * 48 = -2016"], "final_answer": "-2016", "answer_type": "integer", "kind": "expression", "math_text": "-42 * (6 + 42)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 6, \"c\": 42}", "seed": "137027160359519721", "semantic_fingerprint": "sha256:8d4cde2757c7c4f3ea96551104b48f363d37959afeae1cd2eab261fc67345128", "generator_version": "3.0"}
{"id": "v3_val_00000479", "prompt": "What is -344 / (-3 * (-46)) - 93 * (-8) + (-51)?", "solution_steps": ["Multiply: -3 * (-46) = 138", "Divide: -344 / 138 = -172/69", "Multiply: 93 * (-8) = -744", "Subtract: -172/69 - (-744) = 51164/69", "Add: 51164/69 + (-51) = 47645/69"], "final_answer": "47645/69", "answer_type": "rational", "kind": "expression", "math_text": "-344 / (-3 * (-46)) - 93 * (-8) + (-51)", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n (* n n)) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -344, \"b\": -3, \"c\": -46, \"d\": 93, \"e\": -8, \"f\": -51}", "seed": "4388952189366210031", "semantic_fingerprint": "sha256:83c87c530588d884758faa7dbb8bc1328f37c25d00dcd8eeefe1fa25f0b02e2d", "generator_version": "3.0"}
{"id": "v3_val_00000480", "prompt": "What value of x satisfies 10(x + 6) = -4(x + 58) + 40?", "solution_steps": ["Expand: 10x + 60 = -4(x + 58) + 40", "Expand: 10x + 60 = -4x - 232 + 40", "Combine constants: 10x + 60 = -4x - 192", "Add 4x to both sides: 14x + 60 = -192", "Subtract 60 from both sides: 14x = -252", "Divide both sides by 14: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 6) = -4(x + 58) + 40", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": -4, \"d\": 58, \"f\": 40, \"x\": -18}", "seed": "12540105817647582468", "semantic_fingerprint": "sha256:e4ba662e4ea01dcd7bf3b6285a460fe15db0293aae7f50f671c71fbb88a28fe2", "generator_version": "3.0"}
{"id": "v3_val_00000481", "prompt": "Solve the equation 7(x + 864) = 12x - 6 for x.", "solution_steps": ["Expand: 7x + 6048 = 12x - 6", "Subtract 12x from both sides: -5x + 6048 = -6", "Subtract 6048 from both sides: -5x = -6054", "Divide both sides by -5: x = 6054/5"], "final_answer": "6054/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 864) = 12x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 864, \"c\": 12, \"d\": 6}", "seed": "6848806667346182509", "semantic_fingerprint": "sha256:f0773b92c6b55664962ebfa485f6dab83b93f306ba04daa5f32d779ca6d08ba0", "generator_version": "3.0"}
{"id": "v3_val_00000482", "prompt": "Evaluate: 15 / 9 * 69", "solution_steps": ["Divide: 15 / 9 = 5/3", "Multiply: (5/3) * 69 = 115"], "final_answer": "115", "answer_type": "integer", "kind": "expression", "math_text": "15 / 9 * 69", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 9, \"c\": 69}", "seed": "17204626404294706754", "semantic_fingerprint": "sha256:f6a7fdcee32579b6b9e02e07dc6d1ebaaf1cc92069a0f001f32b7c01c7c87760", "generator_version": "3.0"}
{"id": "v3_val_00000483", "prompt": "Solve for x: 5(x - 74) = -10(x + 6) - 310", "solution_steps": ["Expand: 5x - 370 = -10(x + 6) - 310", "Expand: 5x - 370 = -10x - 60 - 310", "Combine constants: 5x - 370 = -10x - 370", "Add 10x to both sides: 15x - 370 = -370", "Add 370 to both sides: 15x = 0", "Divide both sides by 15: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 74) = -10(x + 6) - 310", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 74, \"c\": -10, \"d\": 6, \"f\": -310, \"x\": 0}", "seed": "10767426741815939747", "semantic_fingerprint": "sha256:8c7a5f0be29354e53cfa5259e5dd5284bab1d9a8a6fe145642801b9dc0c36ab5", "generator_version": "3.0"}
{"id": "v3_val_00000484", "prompt": "Evaluate: -827 - (-42) - (83 - (-5))", "solution_steps": ["Subtract: -827 - (-42) = -785", "Subtract: 83 - (-5) = 88", "Subtract: -785 - 88 = -873"], "final_answer": "-873", "answer_type": "integer", "kind": "expression", "math_text": "-827 - (-42) - (83 - (-5))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -827, \"b\": -42, \"c\": 83, \"d\": -5}", "seed": "398756776151184051", "semantic_fingerprint": "sha256:32feb3c0f05073358556cb37d649c16bfe6c3c6225fe7fe58aca7f98562f565c", "generator_version": "3.0"}
{"id": "v3_val_00000485", "prompt": "Evaluate: -6 * (-8) / (-60 * 30)", "solution_steps": ["Multiply: -6 * (-8) = 48", "Multiply: -60 * 30 = -1800", "Divide: 48 / (-1800) = -2/75"], "final_answer": "-2/75", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-8) / (-60 * 30)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -8, \"c\": -60, \"d\": 30}", "seed": "217900217731820335", "semantic_fingerprint": "sha256:086c90956b413befb03953a813c73556b4f4018606feb16a0805e8603c71d7b2", "generator_version": "3.0"}
{"id": "v3_val_00000486", "prompt": "Evaluate: -54 / (-16) - 329", "solution_steps": ["Divide: -54 / (-16) = 27/8", "Subtract: 27/8 - 329 = -2605/8"], "final_answer": "-2605/8", "answer_type": "rational", "kind": "expression", "math_text": "-54 / (-16) - 329", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -16, \"c\": 329}", "seed": "1445033968397665389", "semantic_fingerprint": "sha256:9a6e85b5d39ec8b78a4509d1f333e749aea2cbcd022a2352569202cae5ef19fe", "generator_version": "3.0"}
{"id": "v3_val_00000487", "prompt": "What value of x satisfies 9(x - 1) + 90 = -12(x - 61) - 483?", "solution_steps": ["Expand: 9x - 9 + 90 = -12(x - 61) - 483", "Expand: 9x - 9 + 90 = -12x + 732 - 483", "Combine constants: 9x + 81 = -12x + 732 - 483", "Combine constants: 9x + 81 = -12x + 249", "Add 12x to both sides: 21x + 81 = 249", "Subtract 81 from both sides: 21x = 168", "Divide both sides by 21: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 1) + 90 = -12(x - 61) - 483", "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\": 90, \"d\": -12, \"e\": 61, \"g\": -483, \"x\": 8}", "seed": "796450418972016283", "semantic_fingerprint": "sha256:afc1c0008bc13617aa182f0cbdaa92d483d478e8d9e4e03d1fb4295bfd0d27d2", "generator_version": "3.0"}
{"id": "v3_val_00000488", "prompt": "Evaluate: 745 / 14 + (-88 + (-2))", "solution_steps": ["Divide: 745 / 14 = 745/14", "Add: -88 + (-2) = -90", "Add: 745/14 + (-90) = -515/14"], "final_answer": "-515/14", "answer_type": "rational", "kind": "expression", "math_text": "745 / 14 + (-88 + (-2))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 745, \"b\": 14, \"c\": -88, \"d\": -2}", "seed": "10602923864048347385", "semantic_fingerprint": "sha256:f7fc501fc3d63f1161af20c3abcd47d9853be1b74fb77df4b1c8db0e20b54fec", "generator_version": "3.0"}
{"id": "v3_val_00000489", "prompt": "What value of x satisfies 8(x + 29) + 914 = 7(x + 2) + 6?", "solution_steps": ["Expand: 8x + 232 + 914 = 7(x + 2) + 6", "Expand: 8x + 232 + 914 = 7x + 14 + 6", "Combine constants: 8x + 1146 = 7x + 14 + 6", "Combine constants: 8x + 1146 = 7x + 20", "Subtract 7x from both sides: x + 1146 = 20", "Subtract 1146 from both sides: x = -1126"], "final_answer": "-1126", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 29) + 914 = 7(x + 2) + 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\": 29, \"c\": 914, \"d\": 7, \"e\": 2, \"f\": 6}", "seed": "8578178086882668494", "semantic_fingerprint": "sha256:44366bbd398829bd04a12af6dfeee93578430afefa72c2a65d2665f08ba7a9a4", "generator_version": "3.0"}
{"id": "v3_val_00000490", "prompt": "Calculate: -86 * ((0 - (-46)) * 0)", "solution_steps": ["Subtract: 0 - (-46) = 46", "Multiply: 46 * 0 = 0", "Multiply: -86 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-86 * ((0 - (-46)) * 0)", "variable": null, "family": "expression_3op", "shape": "(* n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 0, \"c\": -46, \"d\": 0}", "seed": "17144324756327060603", "semantic_fingerprint": "sha256:70c21a218a414b5eab4df365dbb34780705f84eeff185d588a0ce3f1a6fb0dac", "generator_version": "3.0"}
{"id": "v3_val_00000491", "prompt": "Compute: -1 / (-8) * 0", "solution_steps": ["Divide: -1 / (-8) = 1/8", "Multiply: (1/8) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-1 / (-8) * 0", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -8, \"c\": 0}", "seed": "16972356549250899582", "semantic_fingerprint": "sha256:832d225adb3cb28a6450a0a1c04be7cbe7ec13a37202da4d01e026e8bcbf8929", "generator_version": "3.0"}
{"id": "v3_val_00000492", "prompt": "Calculate: -62 - (10 - 97)", "solution_steps": ["Subtract: 10 - 97 = -87", "Subtract: -62 - (-87) = 25"], "final_answer": "25", "answer_type": "integer", "kind": "expression", "math_text": "-62 - (10 - 97)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 10, \"c\": 97}", "seed": "4632054731801885578", "semantic_fingerprint": "sha256:ff3c110874e6d6c08712d67840cd86a2e56b621f0207f62dfa435639b9cbe082", "generator_version": "3.0"}
{"id": "v3_val_00000493", "prompt": "Solve for x: 12x = 5(x - 896) + 78", "solution_steps": ["Expand: 12x = 5x - 4480 + 78", "Combine constants: 12x = 5x - 4402", "Subtract 5x from both sides: 7x = -4402", "Divide both sides by 7: x = -4402/7"], "final_answer": "-4402/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = 5(x - 896) + 78", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 896, \"d\": 78}", "seed": "11466957519405766407", "semantic_fingerprint": "sha256:809460688c01ae821e2b3df332d4f7d5f82dd9fde17460a6460a26d858a3f6e6", "generator_version": "3.0"}
{"id": "v3_val_00000494", "prompt": "Evaluate: -6 - 305 / 14 * (591 - (-93))", "solution_steps": ["Divide: 305 / 14 = 305/14", "Subtract: 591 - (-93) = 684", "Multiply: (305/14) * 684 = 104310/7", "Subtract: -6 - 104310/7 = -104352/7"], "final_answer": "-104352/7", "answer_type": "rational", "kind": "expression", "math_text": "-6 - 305 / 14 * (591 - (-93))", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 305, \"c\": 14, \"d\": 591, \"e\": -93}", "seed": "4401147828955695195", "semantic_fingerprint": "sha256:a624d4f86e18db09d43da6e3e20dbae4c2a0c54b159c2dcfdf273e76444d3bcc", "generator_version": "3.0"}
{"id": "v3_val_00000495", "prompt": "Compute: 6 / ((0 - (-79)) * 33)", "solution_steps": ["Subtract: 0 - (-79) = 79", "Multiply: 79 * 33 = 2607", "Divide: 6 / 2607 = 2/869"], "final_answer": "2/869", "answer_type": "rational", "kind": "expression", "math_text": "6 / ((0 - (-79)) * 33)", "variable": null, "family": "expression_3op", "shape": "(/ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 0, \"c\": -79, \"d\": 33}", "seed": "13466200436859406843", "semantic_fingerprint": "sha256:53641f36c9cb31cd178144218d3943cbfa1d8580f4534081b57b488c081d31d3", "generator_version": "3.0"}
{"id": "v3_val_00000496", "prompt": "What is 12 + 582 + (38 * 71 - 59 / (-45))?", "solution_steps": ["Add: 12 + 582 = 594", "Multiply: 38 * 71 = 2698", "Divide: 59 / (-45) = -59/45", "Subtract: 2698 - (-59/45) = 121469/45", "Add: 594 + 121469/45 = 148199/45"], "final_answer": "148199/45", "answer_type": "rational", "kind": "expression", "math_text": "12 + 582 + (38 * 71 - 59 / (-45))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (* n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 582, \"c\": 38, \"d\": 71, \"e\": 59, \"f\": -45}", "seed": "12120783704223904745", "semantic_fingerprint": "sha256:aeeb7b8f18c223cbadf5327c965c70d03630857b4e84f6e166cce5dbf0a3cfae", "generator_version": "3.0"}
{"id": "v3_val_00000497", "prompt": "Compute: 9 * 21 / (66 * (58 / (-4 / (-45))))", "solution_steps": ["Multiply: 9 * 21 = 189", "Divide: -4 / (-45) = 4/45", "Divide: 58 / (4/45) = 1305/2", "Multiply: 66 * (1305/2) = 43065", "Divide: 189 / 43065 = 7/1595"], "final_answer": "7/1595", "answer_type": "rational", "kind": "expression", "math_text": "9 * 21 / (66 * (58 / (-4 / (-45))))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (* n (/ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 21, \"c\": 66, \"d\": 58, \"e\": -4, \"f\": -45}", "seed": "14901367526703972254", "semantic_fingerprint": "sha256:b8cea8c302336050adbcc411075d7afea5ec1df51ee9b6b2ab8c7363e8665c9d", "generator_version": "3.0"}
{"id": "v3_val_00000498", "prompt": "Solve for x: -9x - 5 = x + 45", "solution_steps": ["Subtract x from both sides: -10x - 5 = 45", "Add 5 to both sides: -10x = 50", "Divide both sides by -10: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 5 = x + 45", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"d\": 45, \"x\": -5}", "seed": "11815407889741307785", "semantic_fingerprint": "sha256:da1ed9172fe8e3aa91125a8e18940af3330ebff83c6deecedb8cc5b17e3858ba", "generator_version": "3.0"}
{"id": "v3_val_00000499", "prompt": "What is (69 + 5 - 59) * 7?", "solution_steps": ["Add: 69 + 5 = 74", "Subtract: 74 - 59 = 15", "Multiply: 15 * 7 = 105"], "final_answer": "105", "answer_type": "integer", "kind": "expression", "math_text": "(69 + 5 - 59) * 7", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 5, \"c\": 59, \"d\": 7}", "seed": "9450189582142354030", "semantic_fingerprint": "sha256:f976386ad21879872cdf02e5aafef8b9efe361307f447b9f0f1257968d053f24", "generator_version": "3.0"}
{"id": "v3_val_00000500", "prompt": "What is 41 / 53?", "solution_steps": ["Divide: 41 / 53 = 41/53"], "final_answer": "41/53", "answer_type": "rational", "kind": "expression", "math_text": "41 / 53", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 53}", "seed": "8926562399350564997", "semantic_fingerprint": "sha256:1d7835112eb1e9b4b117036c2efd65324b8729d1069ca8da2575d2c5238f6333", "generator_version": "3.0"}
{"id": "v3_val_00000501", "prompt": "What is -5 - 6 * (17 + (-79))?", "solution_steps": ["Add: 17 + (-79) = -62", "Multiply: 6 * (-62) = -372", "Subtract: -5 - (-372) = 367"], "final_answer": "367", "answer_type": "integer", "kind": "expression", "math_text": "-5 - 6 * (17 + (-79))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 17, \"d\": -79}", "seed": "4866098800580018735", "semantic_fingerprint": "sha256:9e6c8085be249ba89981c8a5a6c92a47f0d65c71ba8bac536ec187f7f4fdc180", "generator_version": "3.0"}
{"id": "v3_val_00000502", "prompt": "Calculate: (0 - (-18)) * 374 + (-5)", "solution_steps": ["Subtract: 0 - (-18) = 18", "Multiply: 18 * 374 = 6732", "Add: 6732 + (-5) = 6727"], "final_answer": "6727", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-18)) * 374 + (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -18, \"c\": 374, \"d\": -5}", "seed": "17258254749078230750", "semantic_fingerprint": "sha256:2cd1c0bc76121c0b9824ebc167c5d4bdc1859b52bc1f0b74190ef168a3aa842b", "generator_version": "3.0"}
{"id": "v3_val_00000503", "prompt": "Compute: 48 / (-2 / (79 / (-3)) * (-79))", "solution_steps": ["Divide: 79 / (-3) = -79/3", "Divide: -2 / (-79/3) = 6/79", "Multiply: (6/79) * (-79) = -6", "Divide: 48 / (-6) = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "48 / (-2 / (79 / (-3)) * (-79))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (/ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -2, \"c\": 79, \"d\": -3, \"e\": -79}", "seed": "10446291059599411565", "semantic_fingerprint": "sha256:7d4be4a903f2f40711f13f82227b79d268df33d3bb4e4d71e2d22ed1488d14f8", "generator_version": "3.0"}
{"id": "v3_val_00000504", "prompt": "Compute: 4 + 1 + (-47)", "solution_steps": ["Add: 4 + 1 = 5", "Add: 5 + (-47) = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "expression", "math_text": "4 + 1 + (-47)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": -47}", "seed": "12166001223698258601", "semantic_fingerprint": "sha256:073ca66a62738a88c1ee5b2ab2fef7dcf88102566347cfd43375103d3c883bb3", "generator_version": "3.0"}
{"id": "v3_val_00000505", "prompt": "Calculate: -165 - 4 * 6", "solution_steps": ["Multiply: 4 * 6 = 24", "Subtract: -165 - 24 = -189"], "final_answer": "-189", "answer_type": "integer", "kind": "expression", "math_text": "-165 - 4 * 6", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -165, \"b\": 4, \"c\": 6}", "seed": "6905520404500891484", "semantic_fingerprint": "sha256:245eb66b25da59eab4df7279a71c4fefd89775de712fccff4a2db3693ec7dff5", "generator_version": "3.0"}
{"id": "v3_val_00000506", "prompt": "Evaluate: 4 - (-54)", "solution_steps": ["Subtract: 4 - (-54) = 58"], "final_answer": "58", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-54)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -54}", "seed": "7933854436225089994", "semantic_fingerprint": "sha256:3a32f1ec5161425a00fd4dae84aa4e99a00d066ca6e59b05d2188321022d29a6", "generator_version": "3.0"}
{"id": "v3_val_00000507", "prompt": "Evaluate: -19 - 2", "solution_steps": ["Subtract: -19 - 2 = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "expression", "math_text": "-19 - 2", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 2}", "seed": "3756295643560907540", "semantic_fingerprint": "sha256:c041e87230598f971ee4b62861dd08b11923224a9bd11bc3bcec71a06c05653f", "generator_version": "3.0"}
{"id": "v3_val_00000508", "prompt": "Find x: 11(x - 96) - 2 = -2(x + 85) - 888", "solution_steps": ["Expand: 11x - 1056 - 2 = -2(x + 85) - 888", "Expand: 11x - 1056 - 2 = -2x - 170 - 888", "Combine constants: 11x - 1058 = -2x - 170 - 888", "Combine constants: 11x - 1058 = -2x - 1058", "Add 2x to both sides: 13x - 1058 = -1058", "Add 1058 to both sides: 13x = 0", "Divide both sides by 13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 96) - 2 = -2(x + 85) - 888", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 96, \"c\": 2, \"d\": -2, \"e\": 85, \"g\": -888, \"x\": 0}", "seed": "4749321637262576659", "semantic_fingerprint": "sha256:53d8c11324455d04049efbe7ded88e0fd3fab3314d77a90b7e46dee0ab0da32a", "generator_version": "3.0"}
{"id": "v3_val_00000509", "prompt": "Evaluate: -35 / 2", "solution_steps": ["Divide: -35 / 2 = -35/2"], "final_answer": "-35/2", "answer_type": "rational", "kind": "expression", "math_text": "-35 / 2", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 2}", "seed": "8467735889307751579", "semantic_fingerprint": "sha256:00a88cb8dc6dbcd47134d5f4e54c2fbea723025211ce9632f9fc16a30e39cf57", "generator_version": "3.0"}
{"id": "v3_val_00000510", "prompt": "Compute: -64 * (-1 - (-52)) / (-695)", "solution_steps": ["Subtract: -1 - (-52) = 51", "Multiply: -64 * 51 = -3264", "Divide: -3264 / (-695) = 3264/695"], "final_answer": "3264/695", "answer_type": "rational", "kind": "expression", "math_text": "-64 * (-1 - (-52)) / (-695)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -1, \"c\": -52, \"d\": -695}", "seed": "8158332621832863090", "semantic_fingerprint": "sha256:9ef11a5e763b0d64aafec6dcd82c1da1a5565c64ae090e73bb360d5cd388944b", "generator_version": "3.0"}
{"id": "v3_val_00000511", "prompt": "Evaluate: (-270 + 182) / 595 + (-3) / 7", "solution_steps": ["Add: -270 + 182 = -88", "Divide: -88 / 595 = -88/595", "Divide: -3 / 7 = -3/7", "Add: -88/595 + (-3/7) = -49/85"], "final_answer": "-49/85", "answer_type": "rational", "kind": "expression", "math_text": "(-270 + 182) / 595 + (-3) / 7", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -270, \"b\": 182, \"c\": 595, \"d\": -3, \"e\": 7}", "seed": "13311069313803750283", "semantic_fingerprint": "sha256:eaa9c4cd1ecfd5f5bed4b84efa05c5b78b148209bf9d2707fc589c6183101516", "generator_version": "3.0"}
{"id": "v3_val_00000512", "prompt": "Solve for x: 3x - 624 = -615", "solution_steps": ["Add 624 to both sides: 3x = 9", "Divide both sides by 3: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 624 = -615", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 624, \"d\": -615, \"x\": 3}", "seed": "8644386110776605999", "semantic_fingerprint": "sha256:770951a99877f2f9c58885cad0d0d4f7c80db10992d728a3aa64357bee6e9eb9", "generator_version": "3.0"}
{"id": "v3_val_00000513", "prompt": "Find x: x = -9x - 817", "solution_steps": ["Add 9x 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 = -9x - 817", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 817}", "seed": "15250589782711012953", "semantic_fingerprint": "sha256:4acba0edf3d7d49f1a6a66cd458ff141be5949ce18b5c797ea20fb2e2a4d67d7", "generator_version": "3.0"}
{"id": "v3_val_00000514", "prompt": "Solve for x: -5x + 92 = x + 140", "solution_steps": ["Subtract x from both sides: -6x + 92 = 140", "Subtract 92 from both sides: -6x = 48", "Divide both sides by -6: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 92 = x + 140", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 92, \"d\": 140, \"x\": -8}", "seed": "10967876468305568701", "semantic_fingerprint": "sha256:c6469aca68f596dbe6b711242f13c9755d02a9a710e6c114a7df936521160a0c", "generator_version": "3.0"}
{"id": "v3_val_00000515", "prompt": "Solve for x: 7(x - 95) - 3 = -773", "solution_steps": ["Expand: 7x - 665 - 3 = -773", "Combine constants: 7x - 668 = -773", "Add 668 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 - 95) - 3 = -773", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 95, \"c\": 3, \"e\": -773, \"x\": -15}", "seed": "6062789099797115212", "semantic_fingerprint": "sha256:c74431c067161b1d5546d1763155813e972efa3dc2ba1a42bc3245349c4e7715", "generator_version": "3.0"}
{"id": "v3_val_00000516", "prompt": "Evaluate: 6 + (-29)", "solution_steps": ["Add: 6 + (-29) = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-29)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -29}", "seed": "13329848863860640263", "semantic_fingerprint": "sha256:6e2de48f1b27548a43d62403f710c1288f6e16fd26a1d2a76484d790042ba799", "generator_version": "3.0"}
{"id": "v3_val_00000517", "prompt": "What is (-10 - (-8)) * 3?", "solution_steps": ["Subtract: -10 - (-8) = -2", "Multiply: -2 * 3 = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "(-10 - (-8)) * 3", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -8, \"c\": 3}", "seed": "13927794964167177972", "semantic_fingerprint": "sha256:96b6a0fc145c92f92da08b0cb647b229baa0c7af300680dbf7090cf8db7e63c2", "generator_version": "3.0"}
{"id": "v3_val_00000518", "prompt": "Calculate: -250 + (-78)", "solution_steps": ["Add: -250 + (-78) = -328"], "final_answer": "-328", "answer_type": "integer", "kind": "expression", "math_text": "-250 + (-78)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -250, \"b\": -78}", "seed": "10913043334462166499", "semantic_fingerprint": "sha256:cbb5fb0593e967e9ca0f4c20b827f4f28d87d5cec27aa42948492284903a138a", "generator_version": "3.0"}
{"id": "v3_val_00000519", "prompt": "Calculate: 55 * (-92) - (5 / (-8) - (-224 - 42))", "solution_steps": ["Multiply: 55 * (-92) = -5060", "Divide: 5 / (-8) = -5/8", "Subtract: -224 - 42 = -266", "Subtract: -5/8 - (-266) = 2123/8", "Subtract: -5060 - 2123/8 = -42603/8"], "final_answer": "-42603/8", "answer_type": "rational", "kind": "expression", "math_text": "55 * (-92) - (5 / (-8) - (-224 - 42))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (/ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -92, \"c\": 5, \"d\": -8, \"e\": -224, \"f\": 42}", "seed": "7973904357599904208", "semantic_fingerprint": "sha256:61ed9bc11ee2202cbf905bd7fbf0da65501da093a78b72bfce06edd6f15543b4", "generator_version": "3.0"}
{"id": "v3_val_00000520", "prompt": "What is 94 + 76 - (-23 - 6) * (-41)?", "solution_steps": ["Add: 94 + 76 = 170", "Subtract: -23 - 6 = -29", "Multiply: -29 * (-41) = 1189", "Subtract: 170 - 1189 = -1019"], "final_answer": "-1019", "answer_type": "integer", "kind": "expression", "math_text": "94 + 76 - (-23 - 6) * (-41)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 76, \"c\": -23, \"d\": 6, \"e\": -41}", "seed": "12459179286976019947", "semantic_fingerprint": "sha256:8ff411fcaae5b78db404d007d3c4a63e74068461e33b034fe7819bfc83af5f71", "generator_version": "3.0"}
{"id": "v3_val_00000521", "prompt": "What is -69 * (23 / (-75)) * (-7)?", "solution_steps": ["Divide: 23 / (-75) = -23/75", "Multiply: -69 * (-23/75) = 529/25", "Multiply: (529/25) * (-7) = -3703/25"], "final_answer": "-3703/25", "answer_type": "rational", "kind": "expression", "math_text": "-69 * (23 / (-75)) * (-7)", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 23, \"c\": -75, \"d\": -7}", "seed": "4653665210497805838", "semantic_fingerprint": "sha256:99aa9b2a80d45b707af0c8d2acceccc927ffaf3a9f2e010d225b7370365ca1e7", "generator_version": "3.0"}
{"id": "v3_val_00000522", "prompt": "Find x: -5(x + 74) + 560 = 10(x + 7)", "solution_steps": ["Expand: -5x - 370 + 560 = 10(x + 7)", "Expand: -5x - 370 + 560 = 10x + 70", "Combine constants: -5x + 190 = 10x + 70", "Subtract 10x from both sides: -15x + 190 = 70", "Subtract 190 from both sides: -15x = -120", "Divide both sides by -15: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 74) + 560 = 10(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 74, \"c\": 10, \"d\": 7, \"f\": 560, \"x\": 8}", "seed": "14747853264259665943", "semantic_fingerprint": "sha256:bf62109349ebfd3bb8feb560ba7b89df1e0a6a22caf2e21f8bf0cec86372fe11", "generator_version": "3.0"}
{"id": "v3_val_00000523", "prompt": "Find x: -5x + 701 = -12(x - 84) - 440", "solution_steps": ["Expand: -5x + 701 = -12x + 1008 - 440", "Combine constants: -5x + 701 = -12x + 568", "Add 12x to both sides: 7x + 701 = 568", "Subtract 701 from both sides: 7x = -133", "Divide both sides by 7: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 701 = -12(x - 84) - 440", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 701, \"c\": -12, \"d\": 84, \"f\": -440, \"x\": -19}", "seed": "17048413763244806051", "semantic_fingerprint": "sha256:9063a8e93618d92c0fb6c878c53a64570aa3e1b3408e4c4acda8262b44c42310", "generator_version": "3.0"}
{"id": "v3_val_00000524", "prompt": "Calculate: (-7 - (-91)) / (-95 - (901 - 18))", "solution_steps": ["Subtract: -7 - (-91) = 84", "Subtract: 901 - 18 = 883", "Subtract: -95 - 883 = -978", "Divide: 84 / (-978) = -14/163"], "final_answer": "-14/163", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - (-91)) / (-95 - (901 - 18))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -91, \"c\": -95, \"d\": 901, \"e\": 18}", "seed": "12263661651802430942", "semantic_fingerprint": "sha256:661101d31938836caaf2d25732aa5624b6210cb5297f786c287846df49e33044", "generator_version": "3.0"}
{"id": "v3_val_00000525", "prompt": "Solve the equation 10x = x - 1 for x.", "solution_steps": ["Subtract x from both sides: 9x = -1", "Divide both sides by 9: x = -1/9"], "final_answer": "-1/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = x - 1", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1}", "seed": "10495529862030167607", "semantic_fingerprint": "sha256:bb25d88f37acfad3de13deb06fec90d4b617b82083ff2becbac9d7ba542c93f8", "generator_version": "3.0"}
{"id": "v3_val_00000526", "prompt": "Evaluate: (0 - (-2)) / (-127 + (-3))", "solution_steps": ["Subtract: 0 - (-2) = 2", "Add: -127 + (-3) = -130", "Divide: 2 / (-130) = -1/65"], "final_answer": "-1/65", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (-2)) / (-127 + (-3))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": -127, \"d\": -3}", "seed": "9288236495448736268", "semantic_fingerprint": "sha256:7025a3f46c0b4e690bb35447d501eb78bf431eb1de5641c5a0c7af42f4cf5628", "generator_version": "3.0"}
{"id": "v3_val_00000527", "prompt": "Solve the equation x - 4 = 9x - 3 for x.", "solution_steps": ["Subtract 9x from both sides: -8x - 4 = -3", "Add 4 to both sides: -8x = 1", "Divide both sides by -8: x = -1/8"], "final_answer": "-1/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4 = 9x - 3", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 3}", "seed": "1210512777108832061", "semantic_fingerprint": "sha256:61200ede222211ca84f366c87007164dcb0daaa7813f7ce1b8982ccf13980c27", "generator_version": "3.0"}
{"id": "v3_val_00000528", "prompt": "What is 64 * 7?", "solution_steps": ["Multiply: 64 * 7 = 448"], "final_answer": "448", "answer_type": "integer", "kind": "expression", "math_text": "64 * 7", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 7}", "seed": "13727168026914690646", "semantic_fingerprint": "sha256:e3704e3339b20fcc5eee986dce5ee3fcfee77483a58988de18aefa791986623b", "generator_version": "3.0"}
{"id": "v3_val_00000529", "prompt": "Solve for x: x + 3 = -8x - 7", "solution_steps": ["Add 8x to both sides: 9x + 3 = -7", "Subtract 3 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": "x + 3 = -8x - 7", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8, \"c\": 7}", "seed": "10813997210666143598", "semantic_fingerprint": "sha256:7eeb48df88b7c3ce8a7d0fb686782980ccee657a7e435788690d2e44fec3eb44", "generator_version": "3.0"}
{"id": "v3_val_00000530", "prompt": "Find x: 6(x + 1) = 2x + 62", "solution_steps": ["Expand: 6x + 6 = 2x + 62", "Subtract 2x from both sides: 4x + 6 = 62", "Subtract 6 from both sides: 4x = 56", "Divide both sides by 4: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 1) = 2x + 62", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 2, \"e\": 62, \"x\": 14}", "seed": "13224881770553334528", "semantic_fingerprint": "sha256:e63a62137faaa90b9d0b4c777cf9d745f572eeaf674963f2b3c834ce8d04f95a", "generator_version": "3.0"}
{"id": "v3_val_00000531", "prompt": "What value of x satisfies 12(x + 63) - 57 = 11(x + 60) + 19?", "solution_steps": ["Expand: 12x + 756 - 57 = 11(x + 60) + 19", "Expand: 12x + 756 - 57 = 11x + 660 + 19", "Combine constants: 12x + 699 = 11x + 660 + 19", "Combine constants: 12x + 699 = 11x + 679", "Subtract 11x from both sides: x + 699 = 679", "Subtract 699 from both sides: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 63) - 57 = 11(x + 60) + 19", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 63, \"c\": 57, \"d\": 11, \"e\": 60, \"g\": 19, \"x\": -20}", "seed": "13236733776460786339", "semantic_fingerprint": "sha256:9f55d5265a9ee94e63b4d27d7970b07ba7fbf6cac44c43c526cfc8bc3bf0a0e4", "generator_version": "3.0"}
{"id": "v3_val_00000532", "prompt": "Compute: -704 / 67 - (-8 + 610)", "solution_steps": ["Divide: -704 / 67 = -704/67", "Add: -8 + 610 = 602", "Subtract: -704/67 - 602 = -41038/67"], "final_answer": "-41038/67", "answer_type": "rational", "kind": "expression", "math_text": "-704 / 67 - (-8 + 610)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -704, \"b\": 67, \"c\": -8, \"d\": 610}", "seed": "4983513640832862173", "semantic_fingerprint": "sha256:4e6bfa40898babda6f9f702528f31959186a5bbb84f8c84acc8078a17c7baf75", "generator_version": "3.0"}
{"id": "v3_val_00000533", "prompt": "Find x: 11(x - 32) + 841 = x + 339", "solution_steps": ["Expand: 11x - 352 + 841 = x + 339", "Combine constants: 11x + 489 = x + 339", "Subtract x from both sides: 10x + 489 = 339", "Subtract 489 from both sides: 10x = -150", "Divide both sides by 10: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 32) + 841 = x + 339", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 32, \"c\": 841, \"e\": 339, \"x\": -15}", "seed": "17542295400411557121", "semantic_fingerprint": "sha256:d9b4fb31fc4a8ebda9ddad69a6791d8ffc70ecc646c793b9b5d04addcccd0342", "generator_version": "3.0"}
{"id": "v3_val_00000534", "prompt": "What is -3 + (977 - 700)?", "solution_steps": ["Subtract: 977 - 700 = 277", "Add: -3 + 277 = 274"], "final_answer": "274", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (977 - 700)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 977, \"c\": 700}", "seed": "7276775384418460203", "semantic_fingerprint": "sha256:b98c49e9771eac44e140c8f803967a1b0952eb8e763bcd219f3168b28ba02c59", "generator_version": "3.0"}
{"id": "v3_val_00000535", "prompt": "Evaluate: 823 + (-2 + (1 + (-71)))", "solution_steps": ["Add: 1 + (-71) = -70", "Add: -2 + (-70) = -72", "Add: 823 + (-72) = 751"], "final_answer": "751", "answer_type": "integer", "kind": "expression", "math_text": "823 + (-2 + (1 + (-71)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 823, \"b\": -2, \"c\": 1, \"d\": -71}", "seed": "12178938795616797427", "semantic_fingerprint": "sha256:3c350d45699db1df3f2c2d79867849fdd0e457b16a69cc196afff36273be5d55", "generator_version": "3.0"}
{"id": "v3_val_00000536", "prompt": "Compute: (-8 + 3 + (949 - 1)) / 238", "solution_steps": ["Add: -8 + 3 = -5", "Subtract: 949 - 1 = 948", "Add: -5 + 948 = 943", "Divide: 943 / 238 = 943/238"], "final_answer": "943/238", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 3 + (949 - 1)) / 238", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 949, \"d\": 1, \"e\": 238}", "seed": "5822394918547215429", "semantic_fingerprint": "sha256:4b53f171c8d4c50f892be3d5ca193a4b5a1ffa092d731a2cf4252d6181424d22", "generator_version": "3.0"}
{"id": "v3_val_00000537", "prompt": "Solve the equation 7x + 173 = 3(x + 49) - 98 for x.", "solution_steps": ["Expand: 7x + 173 = 3x + 147 - 98", "Combine constants: 7x + 173 = 3x + 49", "Subtract 3x from both sides: 4x + 173 = 49", "Subtract 173 from both sides: 4x = -124", "Divide both sides by 4: x = -31"], "final_answer": "-31", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 173 = 3(x + 49) - 98", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 173, \"c\": 3, \"d\": 49, \"e\": 98}", "seed": "11498348530515146476", "semantic_fingerprint": "sha256:378970e79cc73eb4ef927f48e65b2c0d608759f2e018ae7186b2b5f0d8b16770", "generator_version": "3.0"}
{"id": "v3_val_00000538", "prompt": "Calculate: -7 - (-8) * 7", "solution_steps": ["Multiply: -8 * 7 = -56", "Subtract: -7 - (-56) = 49"], "final_answer": "49", "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": "11906438768818602407", "semantic_fingerprint": "sha256:f6647d31c0f81bd80bb49b82e3ee7f5571ace1c1570c18f62dc593412f72ea85", "generator_version": "3.0"}
{"id": "v3_val_00000539", "prompt": "Calculate: -709 / (-57) - 18", "solution_steps": ["Divide: -709 / (-57) = 709/57", "Subtract: 709/57 - 18 = -317/57"], "final_answer": "-317/57", "answer_type": "rational", "kind": "expression", "math_text": "-709 / (-57) - 18", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -709, \"b\": -57, \"c\": 18}", "seed": "11838902294066205371", "semantic_fingerprint": "sha256:bc21c017857778cb0930775fc797760eead44a5cd2691384eadce0e407c1cf19", "generator_version": "3.0"}
{"id": "v3_val_00000540", "prompt": "Solve for x: 2(x - 42) + 49 = -55", "solution_steps": ["Expand: 2x - 84 + 49 = -55", "Combine constants: 2x - 35 = -55", "Add 35 to both sides: 2x = -20", "Divide both sides by 2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 42) + 49 = -55", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 42, \"c\": 49, \"e\": -55, \"x\": -10}", "seed": "10945201098435984628", "semantic_fingerprint": "sha256:6a9323cb3aea4a83c1717715bed28ff7c478eb0dd56d3d48b3e5ab966d61ec88", "generator_version": "3.0"}
{"id": "v3_val_00000541", "prompt": "What is -718 + 2 * 865?", "solution_steps": ["Multiply: 2 * 865 = 1730", "Add: -718 + 1730 = 1012"], "final_answer": "1012", "answer_type": "integer", "kind": "expression", "math_text": "-718 + 2 * 865", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -718, \"b\": 2, \"c\": 865}", "seed": "7331701288064234239", "semantic_fingerprint": "sha256:4ef092b94e254a4f092215b934c37142185c4f80a936bb12f35c960d2d94b55e", "generator_version": "3.0"}
{"id": "v3_val_00000542", "prompt": "Find x: x - 10 = 7x + 5", "solution_steps": ["Subtract 7x from both sides: -6x - 10 = 5", "Add 10 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": "x - 10 = 7x + 5", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 5}", "seed": "7917575209884799955", "semantic_fingerprint": "sha256:33a41d182cba5c6068a8db5ce376b3f11c501024c580fe7627f1d0d43be116d0", "generator_version": "3.0"}
{"id": "v3_val_00000543", "prompt": "Evaluate: -9 + 298 / 11 + (-769) - (1 - 69)", "solution_steps": ["Divide: 298 / 11 = 298/11", "Add: -9 + 298/11 = 199/11", "Add: 199/11 + (-769) = -8260/11", "Subtract: 1 - 69 = -68", "Subtract: -8260/11 - (-68) = -7512/11"], "final_answer": "-7512/11", "answer_type": "rational", "kind": "expression", "math_text": "-9 + 298 / 11 + (-769) - (1 - 69)", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n (/ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 298, \"c\": 11, \"d\": -769, \"e\": 1, \"f\": 69}", "seed": "15003855176970630322", "semantic_fingerprint": "sha256:122047a18d1b31721bae7c9a57faede0f18e3d02bfd342528046f23a15cdcb35", "generator_version": "3.0"}
{"id": "v3_val_00000544", "prompt": "Find x: x + 8 = 8", "solution_steps": ["Subtract 8 from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8 = 8", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": 8, \"x\": 0}", "seed": "11796337225956971111", "semantic_fingerprint": "sha256:b8875a9b12ac5115330215084e013782b7c77b6bdf4140a15004c4f01a9fc81b", "generator_version": "3.0"}
{"id": "v3_val_00000545", "prompt": "Solve for x: x + 90 = -7x - 70", "solution_steps": ["Add 7x to both sides: 8x + 90 = -70", "Subtract 90 from both sides: 8x = -160", "Divide both sides by 8: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 90 = -7x - 70", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -7, \"d\": -70, \"x\": -20}", "seed": "175675847728742363", "semantic_fingerprint": "sha256:b57aca3832184933b794f9d96104c4c89e433d817eec9e536ab0f0553b061516", "generator_version": "3.0"}
{"id": "v3_val_00000546", "prompt": "Solve for x: x - 673 = 12(x - 30) - 93", "solution_steps": ["Expand: x - 673 = 12x - 360 - 93", "Combine constants: x - 673 = 12x - 453", "Subtract 12x from both sides: -11x - 673 = -453", "Add 673 to both sides: -11x = 220", "Divide both sides by -11: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 673 = 12(x - 30) - 93", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 673, \"b\": 12, \"c\": 30, \"e\": -93, \"x\": -20}", "seed": "5472553068451815992", "semantic_fingerprint": "sha256:caa47ec419a5ff6b2ac41516d8a9f192ade2214dcd3e307178f1dd08e8cf1e90", "generator_version": "3.0"}
{"id": "v3_val_00000547", "prompt": "Solve the equation 2x - 48 = x - 68 for x.", "solution_steps": ["Subtract x from both sides: x - 48 = -68", "Add 48 to both sides: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 48 = x - 68", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 48, \"d\": -68, \"x\": -20}", "seed": "7434562741652466597", "semantic_fingerprint": "sha256:0beb34e526063b9c1fba78e3c23e6a998ab1c3f6ebc00bb538edca31b2ab0092", "generator_version": "3.0"}
{"id": "v3_val_00000548", "prompt": "Compute: -2 * (-77 + 45) * 89 + (-25)", "solution_steps": ["Add: -77 + 45 = -32", "Multiply: -2 * (-32) = 64", "Multiply: 64 * 89 = 5696", "Add: 5696 + (-25) = 5671"], "final_answer": "5671", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-77 + 45) * 89 + (-25)", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -77, \"c\": 45, \"d\": 89, \"e\": -25}", "seed": "16804591221854339994", "semantic_fingerprint": "sha256:30988b328f11d04c6c2e09a41d2174c2e875940933e02a8dc9cfa9241b52dc57", "generator_version": "3.0"}
{"id": "v3_val_00000549", "prompt": "What is -539 - (91 - (-7 + (-7 + (-9)))) / 73?", "solution_steps": ["Add: -7 + (-9) = -16", "Add: -7 + (-16) = -23", "Subtract: 91 - (-23) = 114", "Divide: 114 / 73 = 114/73", "Subtract: -539 - 114/73 = -39461/73"], "final_answer": "-39461/73", "answer_type": "rational", "kind": "expression", "math_text": "-539 - (91 - (-7 + (-7 + (-9)))) / 73", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- n (+ n (+ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -539, \"b\": 91, \"c\": -7, \"d\": -7, \"e\": -9, \"f\": 73}", "seed": "4319320746926568661", "semantic_fingerprint": "sha256:bf80dc708a56c66991d448ff14178db034254aa83e47463ccb73fbdaf47e0358", "generator_version": "3.0"}
{"id": "v3_val_00000550", "prompt": "Calculate: -48 * (75 + 335 - (27 - (-793)))", "solution_steps": ["Add: 75 + 335 = 410", "Subtract: 27 - (-793) = 820", "Subtract: 410 - 820 = -410", "Multiply: -48 * (-410) = 19680"], "final_answer": "19680", "answer_type": "integer", "kind": "expression", "math_text": "-48 * (75 + 335 - (27 - (-793)))", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 75, \"c\": 335, \"d\": 27, \"e\": -793}", "seed": "14135368789033236004", "semantic_fingerprint": "sha256:d9654d6523799ef84ea34e6a891719aedd45073b89729aa5b2d5c8f91827b78f", "generator_version": "3.0"}
{"id": "v3_val_00000551", "prompt": "What is 38 + 0?", "solution_steps": ["Add: 38 + 0 = 38"], "final_answer": "38", "answer_type": "integer", "kind": "expression", "math_text": "38 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 0}", "seed": "15402169974940851418", "semantic_fingerprint": "sha256:a718a476762c0af9e97efe7929ff91bfa3e4cd225e05a7f96c311797f97cea6f", "generator_version": "3.0"}
{"id": "v3_val_00000552", "prompt": "Evaluate: -448 * (-70 + 4)", "solution_steps": ["Add: -70 + 4 = -66", "Multiply: -448 * (-66) = 29568"], "final_answer": "29568", "answer_type": "integer", "kind": "expression", "math_text": "-448 * (-70 + 4)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -448, \"b\": -70, \"c\": 4}", "seed": "52561165153903532", "semantic_fingerprint": "sha256:37330c1800b78e9fb19feacc3551857e65a01c515079e0014e26797d12ae1126", "generator_version": "3.0"}
{"id": "v3_val_00000553", "prompt": "Solve for x: x - 96 = 2(x - 20) - 50", "solution_steps": ["Expand: x - 96 = 2x - 40 - 50", "Combine constants: x - 96 = 2x - 90", "Subtract 2x from both sides: -x - 96 = -90", "Add 96 to both sides: -x = 6", "Divide both sides by -1: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 96 = 2(x - 20) - 50", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 2, \"c\": 20, \"e\": -50, \"x\": -6}", "seed": "2346535148370134562", "semantic_fingerprint": "sha256:d7712d5d41c34c91a025d4ed451a4192ce96f87c987c48547f3339694571cbc0", "generator_version": "3.0"}
{"id": "v3_val_00000554", "prompt": "Evaluate: -5 - (-93 + (-11))", "solution_steps": ["Add: -93 + (-11) = -104", "Subtract: -5 - (-104) = 99"], "final_answer": "99", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-93 + (-11))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -93, \"c\": -11}", "seed": "13604251668813231973", "semantic_fingerprint": "sha256:cc2fcd08327a0ff4208216c330ac319178de2591b3db459a7a6bc080914a28da", "generator_version": "3.0"}
{"id": "v3_val_00000555", "prompt": "What is -74 / (-6 * (-61)) * (-8)?", "solution_steps": ["Multiply: -6 * (-61) = 366", "Divide: -74 / 366 = -37/183", "Multiply: (-37/183) * (-8) = 296/183"], "final_answer": "296/183", "answer_type": "rational", "kind": "expression", "math_text": "-74 / (-6 * (-61)) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": -6, \"c\": -61, \"d\": -8}", "seed": "14233303242756498653", "semantic_fingerprint": "sha256:fab7e4cd2b254f749ea41193ae05746ede0f48e305f9b8100d89915f3bbe6b64", "generator_version": "3.0"}
{"id": "v3_val_00000556", "prompt": "Calculate: 4 + (63 + 9)", "solution_steps": ["Add: 63 + 9 = 72", "Add: 4 + 72 = 76"], "final_answer": "76", "answer_type": "integer", "kind": "expression", "math_text": "4 + (63 + 9)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 63, \"c\": 9}", "seed": "3666897557300841951", "semantic_fingerprint": "sha256:9bad35c97cdc1f3c6d1eec60bd9c1249ea571504497da7ca6b1798d19e38ea75", "generator_version": "3.0"}
{"id": "v3_val_00000557", "prompt": "What is -33 + (-390) + 2 * (446 / 70 + 115)?", "solution_steps": ["Add: -33 + (-390) = -423", "Divide: 446 / 70 = 223/35", "Add: 223/35 + 115 = 4248/35", "Multiply: 2 * (4248/35) = 8496/35", "Add: -423 + 8496/35 = -6309/35"], "final_answer": "-6309/35", "answer_type": "rational", "kind": "expression", "math_text": "-33 + (-390) + 2 * (446 / 70 + 115)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* n (+ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -390, \"c\": 2, \"d\": 446, \"e\": 70, \"f\": 115}", "seed": "10403433612357158174", "semantic_fingerprint": "sha256:e15c16049b94dca3e5740c42e2f3834e4a3e8cbc21e0326ef691e8ca475386d3", "generator_version": "3.0"}
{"id": "v3_val_00000558", "prompt": "Compute: 60 + (-552) * (-917)", "solution_steps": ["Multiply: -552 * (-917) = 506184", "Add: 60 + 506184 = 506244"], "final_answer": "506244", "answer_type": "integer", "kind": "expression", "math_text": "60 + (-552) * (-917)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -552, \"c\": -917}", "seed": "8741662685300258536", "semantic_fingerprint": "sha256:8d0283745ecb06f12aee617b39dfeff181f92945243cb8bf91c0e8b164376774", "generator_version": "3.0"}
{"id": "v3_val_00000559", "prompt": "What value of x satisfies 7x - 9 = x + 6?", "solution_steps": ["Subtract x from both sides: 6x - 9 = 6", "Add 9 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": "7x - 9 = x + 6", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 6}", "seed": "1365564898136835869", "semantic_fingerprint": "sha256:9be30e5e7a5a114853ad1db22756183515424262f4dd3d11cca98bf0cce12472", "generator_version": "3.0"}
{"id": "v3_val_00000560", "prompt": "Compute: 0 + (-46 - 2) * (-8 - 2 - 15)", "solution_steps": ["Subtract: -46 - 2 = -48", "Subtract: -8 - 2 = -10", "Subtract: -10 - 15 = -25", "Multiply: -48 * (-25) = 1200", "Add: 0 + 1200 = 1200"], "final_answer": "1200", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-46 - 2) * (-8 - 2 - 15)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (- n n) (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -46, \"c\": 2, \"d\": -8, \"e\": 2, \"f\": 15}", "seed": "3120587749770752972", "semantic_fingerprint": "sha256:8ff4e84dffd676cf0c8839f4b871292ee78b9fb604b3b03a8010b20f638f0d03", "generator_version": "3.0"}
{"id": "v3_val_00000561", "prompt": "Find x: 10(x - 907) = x - 8", "solution_steps": ["Expand: 10x - 9070 = x - 8", "Subtract x from both sides: 9x - 9070 = -8", "Add 9070 to both sides: 9x = 9062", "Divide both sides by 9: x = 9062/9"], "final_answer": "9062/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 907) = x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 907, \"c\": 8}", "seed": "14415824056805393834", "semantic_fingerprint": "sha256:a7b9bf65376292b823fa08f874797435dee9d2b6d43153c6fc007d2a63e67b8d", "generator_version": "3.0"}
{"id": "v3_val_00000562", "prompt": "What value of x satisfies 12x - 559 = 2(x + 76) - 861?", "solution_steps": ["Expand: 12x - 559 = 2x + 152 - 861", "Combine constants: 12x - 559 = 2x - 709", "Subtract 2x from both sides: 10x - 559 = -709", "Add 559 to both sides: 10x = -150", "Divide both sides by 10: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 559 = 2(x + 76) - 861", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 559, \"c\": 2, \"d\": 76, \"e\": 861}", "seed": "11430128566218220639", "semantic_fingerprint": "sha256:1e06384e2d63afe70f3b2d031b5eec89b27fbe4f05b31199d8bc22692182205a", "generator_version": "3.0"}
{"id": "v3_val_00000563", "prompt": "Compute: -205 - (9 - (-36))", "solution_steps": ["Subtract: 9 - (-36) = 45", "Subtract: -205 - 45 = -250"], "final_answer": "-250", "answer_type": "integer", "kind": "expression", "math_text": "-205 - (9 - (-36))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -205, \"b\": 9, \"c\": -36}", "seed": "3781702217381450680", "semantic_fingerprint": "sha256:e38188fd87459ff24b2858a3cec6bd760c0f2a997e6bc75fac453a073bd98cc3", "generator_version": "3.0"}
{"id": "v3_val_00000564", "prompt": "Compute: 211 - (-6)", "solution_steps": ["Subtract: 211 - (-6) = 217"], "final_answer": "217", "answer_type": "integer", "kind": "expression", "math_text": "211 - (-6)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 211, \"b\": -6}", "seed": "14297333293709837988", "semantic_fingerprint": "sha256:1013410fa360533a049df3cc7119f897071eb616eaffeb0f1856be569f5420be", "generator_version": "3.0"}
{"id": "v3_val_00000565", "prompt": "Compute: 519 + (-551) - (-636)", "solution_steps": ["Add: 519 + (-551) = -32", "Subtract: -32 - (-636) = 604"], "final_answer": "604", "answer_type": "integer", "kind": "expression", "math_text": "519 + (-551) - (-636)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 519, \"b\": -551, \"c\": -636}", "seed": "4456618441919396119", "semantic_fingerprint": "sha256:fa512f9193a6e7b3fc9ae5c0def3e73857106c68027aa552857ffa7437e75612", "generator_version": "3.0"}
{"id": "v3_val_00000566", "prompt": "What is 388 + 1 + (-53) / (-11) * 61?", "solution_steps": ["Add: 388 + 1 = 389", "Divide: -53 / (-11) = 53/11", "Multiply: (53/11) * 61 = 3233/11", "Add: 389 + 3233/11 = 7512/11"], "final_answer": "7512/11", "answer_type": "rational", "kind": "expression", "math_text": "388 + 1 + (-53) / (-11) * 61", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 388, \"b\": 1, \"c\": -53, \"d\": -11, \"e\": 61}", "seed": "5273833276940207205", "semantic_fingerprint": "sha256:f7d2d2f5ee65f39000dd8f21bceffc8aeb0168908cf25a12f067774b5dba9f1f", "generator_version": "3.0"}
{"id": "v3_val_00000567", "prompt": "Calculate: 45 + 55 * (-770)", "solution_steps": ["Multiply: 55 * (-770) = -42350", "Add: 45 + (-42350) = -42305"], "final_answer": "-42305", "answer_type": "integer", "kind": "expression", "math_text": "45 + 55 * (-770)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 55, \"c\": -770}", "seed": "16690653648321601342", "semantic_fingerprint": "sha256:a5a7ec1821991f1f53c1490f7081c836c1c2b28c611ebfee030844037f7ed744", "generator_version": "3.0"}
{"id": "v3_val_00000568", "prompt": "Evaluate: -22 - 84 + 0 * (524 / 89) * (-1)", "solution_steps": ["Subtract: -22 - 84 = -106", "Divide: 524 / 89 = 524/89", "Multiply: 0 * (524/89) = 0", "Multiply: 0 * (-1) = 0", "Add: -106 + 0 = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "expression", "math_text": "-22 - 84 + 0 * (524 / 89) * (-1)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* (* n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 84, \"c\": 0, \"d\": 524, \"e\": 89, \"f\": -1}", "seed": "18227679711038579371", "semantic_fingerprint": "sha256:2bb00899abb0ecdfdfa9c3b4e714ca701408112c612aa672e46de5d85d0e23d1", "generator_version": "3.0"}
{"id": "v3_val_00000569", "prompt": "Find x: 6(x + 40) + 664 = 11x + 884", "solution_steps": ["Expand: 6x + 240 + 664 = 11x + 884", "Combine constants: 6x + 904 = 11x + 884", "Subtract 11x from both sides: -5x + 904 = 884", "Subtract 904 from both sides: -5x = -20", "Divide both sides by -5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 40) + 664 = 11x + 884", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 40, \"c\": 664, \"d\": 11, \"f\": 884, \"x\": 4}", "seed": "17327999555634417797", "semantic_fingerprint": "sha256:ef1299f48a90522582d5fad4a0f344d839b5a8091c6d096a6e5e2d15db424e82", "generator_version": "3.0"}
{"id": "v3_val_00000570", "prompt": "What is -7 - 48?", "solution_steps": ["Subtract: -7 - 48 = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "expression", "math_text": "-7 - 48", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 48}", "seed": "14565757808657260401", "semantic_fingerprint": "sha256:85a4f07c81925c661709ec3d1918075d4b4c07d90df26e8d775e0d899fa85fe1", "generator_version": "3.0"}
{"id": "v3_val_00000571", "prompt": "What is -6 / (385 + (-607)) + 5?", "solution_steps": ["Add: 385 + (-607) = -222", "Divide: -6 / (-222) = 1/37", "Add: 1/37 + 5 = 186/37"], "final_answer": "186/37", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (385 + (-607)) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 385, \"c\": -607, \"d\": 5}", "seed": "5092082304177762335", "semantic_fingerprint": "sha256:824dcb8c2a516cccfbabe8dcf83ff2698852e7236a8d36c25cfac7dbaf00b9ee", "generator_version": "3.0"}
{"id": "v3_val_00000572", "prompt": "Calculate: (2 + 64) / (-1 - (150 - 0 - (-4)))", "solution_steps": ["Add: 2 + 64 = 66", "Subtract: 150 - 0 = 150", "Subtract: 150 - (-4) = 154", "Subtract: -1 - 154 = -155", "Divide: 66 / (-155) = -66/155"], "final_answer": "-66/155", "answer_type": "rational", "kind": "expression", "math_text": "(2 + 64) / (-1 - (150 - 0 - (-4)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- n (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 64, \"c\": -1, \"d\": 150, \"e\": 0, \"f\": -4}", "seed": "6156834707497610554", "semantic_fingerprint": "sha256:89713aed025fc43f96f822431c98054935e4625026f6d721395ac855085bb0ce", "generator_version": "3.0"}
{"id": "v3_val_00000573", "prompt": "Evaluate: 1 * 82 - (-3) / (-1)", "solution_steps": ["Multiply: 1 * 82 = 82", "Divide: -3 / (-1) = 3", "Subtract: 82 - 3 = 79"], "final_answer": "79", "answer_type": "integer", "kind": "expression", "math_text": "1 * 82 - (-3) / (-1)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 82, \"c\": -3, \"d\": -1}", "seed": "16065273365333484861", "semantic_fingerprint": "sha256:b97871c2d47b10340991ee1692a382c68c8d78342a8b4d06149430ab8ba0d94e", "generator_version": "3.0"}
{"id": "v3_val_00000574", "prompt": "Solve the equation 10(x + 2) = 6x - 4 for x.", "solution_steps": ["Expand: 10x + 20 = 6x - 4", "Subtract 6x from both sides: 4x + 20 = -4", "Subtract 20 from both sides: 4x = -24", "Divide both sides by 4: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 2) = 6x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 6, \"e\": -4, \"x\": -6}", "seed": "3986756220194762255", "semantic_fingerprint": "sha256:33bf79457b3c70ff00e5881baf249443a92446c8fccc6b88a94c597061ed36d3", "generator_version": "3.0"}
{"id": "v3_val_00000575", "prompt": "Compute: -3 * (-69 - 396) - (-6) / (-593) * (-9)", "solution_steps": ["Subtract: -69 - 396 = -465", "Multiply: -3 * (-465) = 1395", "Divide: -6 / (-593) = 6/593", "Multiply: (6/593) * (-9) = -54/593", "Subtract: 1395 - (-54/593) = 827289/593"], "final_answer": "827289/593", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-69 - 396) - (-6) / (-593) * (-9)", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n n)) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -69, \"c\": 396, \"d\": -6, \"e\": -593, \"f\": -9}", "seed": "3757641720096289986", "semantic_fingerprint": "sha256:87403fb3325c93e8d8fc6f04960bc8bf7c970808a8d9a4617bd6cfed96d012dc", "generator_version": "3.0"}
{"id": "v3_val_00000576", "prompt": "Find x: -7(x - 9) + 430 = 2", "solution_steps": ["Expand: -7x + 63 + 430 = 2", "Combine constants: -7x + 493 = 2", "Subtract 493 from both sides: -7x = -491", "Divide both sides by -7: x = 491/7"], "final_answer": "491/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 9) + 430 = 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": 430, \"d\": 2}", "seed": "5054408411066036958", "semantic_fingerprint": "sha256:1af6b603cdef54b1f239c5859915ac6a47ea9419bc76431905c333824f0ae16a", "generator_version": "3.0"}
{"id": "v3_val_00000577", "prompt": "Calculate: 82 * 73 / (984 / (-90))", "solution_steps": ["Multiply: 82 * 73 = 5986", "Divide: 984 / (-90) = -164/15", "Divide: 5986 / (-164/15) = -1095/2"], "final_answer": "-1095/2", "answer_type": "rational", "kind": "expression", "math_text": "82 * 73 / (984 / (-90))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 73, \"c\": 984, \"d\": -90}", "seed": "2331737273805065886", "semantic_fingerprint": "sha256:9101c1d8c0d30dd5527b862c00f992737c4c58014338618839ade6f9975c5700", "generator_version": "3.0"}
{"id": "v3_val_00000578", "prompt": "What value of x satisfies 8(x + 5) = -104?", "solution_steps": ["Expand: 8x + 40 = -104", "Subtract 40 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 + 5) = -104", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"d\": -104, \"x\": -18}", "seed": "15255221646405644870", "semantic_fingerprint": "sha256:864b24693ad32b1e72dbcde30c76cd28d992ce6cdc7ae4c56494eed45007c194", "generator_version": "3.0"}
{"id": "v3_val_00000579", "prompt": "Calculate: -44 - (-58) / (-731) / 10 * (-60)", "solution_steps": ["Divide: -58 / (-731) = 58/731", "Divide: (58/731) / 10 = 29/3655", "Multiply: (29/3655) * (-60) = -348/731", "Subtract: -44 - (-348/731) = -31816/731"], "final_answer": "-31816/731", "answer_type": "rational", "kind": "expression", "math_text": "-44 - (-58) / (-731) / 10 * (-60)", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -58, \"c\": -731, \"d\": 10, \"e\": -60}", "seed": "12443249228619046719", "semantic_fingerprint": "sha256:fdc135d9cf148e0e6a5f7701e022fb3410d6e2d985df516055ddea86b1ac2be1", "generator_version": "3.0"}
{"id": "v3_val_00000580", "prompt": "Find x: 7(x + 406) = -9x", "solution_steps": ["Expand: 7x + 2842 = -9x", "Add 9x to both sides: 16x + 2842 = 0", "Subtract 2842 from both sides: 16x = -2842", "Divide both sides by 16: x = -1421/8"], "final_answer": "-1421/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 406) = -9x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 406, \"c\": -9}", "seed": "16200748144917605411", "semantic_fingerprint": "sha256:9387453cbc9e97b141a37b5f377f811ce30a96395558e58f2dd3bbe0f3a61d23", "generator_version": "3.0"}
{"id": "v3_val_00000581", "prompt": "What is -6 / (-9 - 71)?", "solution_steps": ["Subtract: -9 - 71 = -80", "Divide: -6 / (-80) = 3/40"], "final_answer": "3/40", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-9 - 71)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -9, \"c\": 71}", "seed": "3345520031291966473", "semantic_fingerprint": "sha256:5ce43ccb861639d238b6821ab902c824db63bc538951e7ba5982b9b482d433bd", "generator_version": "3.0"}
{"id": "v3_val_00000582", "prompt": "Solve for x: 3x = 8(x - 4)", "solution_steps": ["Expand: 3x = 8x - 32", "Subtract 8x from both sides: -5x = -32", "Divide both sides by -5: x = 32/5"], "final_answer": "32/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = 8(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 4}", "seed": "11993441836252808984", "semantic_fingerprint": "sha256:bff8d03e5cbe34d966434739b88e29cf7889e5b1f534286cd80ecefa13c24725", "generator_version": "3.0"}
{"id": "v3_val_00000583", "prompt": "What is -19 / 6 * 95?", "solution_steps": ["Divide: -19 / 6 = -19/6", "Multiply: (-19/6) * 95 = -1805/6"], "final_answer": "-1805/6", "answer_type": "rational", "kind": "expression", "math_text": "-19 / 6 * 95", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 6, \"c\": 95}", "seed": "2499187898903414574", "semantic_fingerprint": "sha256:939279825246e98db0b534f16aa289b2e358b8316937721cb511c293708add04", "generator_version": "3.0"}
{"id": "v3_val_00000584", "prompt": "What value of x satisfies -8x + 234 = 10x?", "solution_steps": ["Subtract 10x from both sides: -18x + 234 = 0", "Subtract 234 from both sides: -18x = -234", "Divide both sides by -18: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 234 = 10x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 10, \"d\": 234, \"x\": 13}", "seed": "2976177464451140188", "semantic_fingerprint": "sha256:8d3f956936f01e8f2a282c0c0bc4d5b49dd017b22a5e06f2d9800656b5cbc7a0", "generator_version": "3.0"}
{"id": "v3_val_00000585", "prompt": "Solve for x: 6x + 5 = 5x", "solution_steps": ["Subtract 5x from both sides: x + 5 = 0", "Subtract 5 from both sides: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 5 = 5x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 5}", "seed": "5140320075642240776", "semantic_fingerprint": "sha256:4f576af0c7c21ffd88b9c62fd0b45a2c57d46932cca9b31b6d894b82d079d948", "generator_version": "3.0"}
{"id": "v3_val_00000586", "prompt": "Compute: 81 / (-86) * (237 - (-51))", "solution_steps": ["Divide: 81 / (-86) = -81/86", "Subtract: 237 - (-51) = 288", "Multiply: (-81/86) * 288 = -11664/43"], "final_answer": "-11664/43", "answer_type": "rational", "kind": "expression", "math_text": "81 / (-86) * (237 - (-51))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -86, \"c\": 237, \"d\": -51}", "seed": "7427554886509438994", "semantic_fingerprint": "sha256:3e4615261bb024e799fb748c3869c6c530a3da6d612b0f065f4a1568a631eb1b", "generator_version": "3.0"}
{"id": "v3_val_00000587", "prompt": "Calculate: (3 + 27) * 855", "solution_steps": ["Add: 3 + 27 = 30", "Multiply: 30 * 855 = 25650"], "final_answer": "25650", "answer_type": "integer", "kind": "expression", "math_text": "(3 + 27) * 855", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 27, \"c\": 855}", "seed": "13606177572875551956", "semantic_fingerprint": "sha256:47c761858828b8a99c941caf969e27cc2659ffa680b53a13a90d2b226cbb4a67", "generator_version": "3.0"}
{"id": "v3_val_00000588", "prompt": "What is -67 + (-183) / 7 - (-6)?", "solution_steps": ["Divide: -183 / 7 = -183/7", "Add: -67 + (-183/7) = -652/7", "Subtract: -652/7 - (-6) = -610/7"], "final_answer": "-610/7", "answer_type": "rational", "kind": "expression", "math_text": "-67 + (-183) / 7 - (-6)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -183, \"c\": 7, \"d\": -6}", "seed": "4896001063123155691", "semantic_fingerprint": "sha256:acb2c506cd52a52d52dba6cdd8303fd297767a922575233fa10a2102d3080267", "generator_version": "3.0"}
{"id": "v3_val_00000589", "prompt": "Evaluate: (-51 - 200) * (-9 + 4)", "solution_steps": ["Subtract: -51 - 200 = -251", "Add: -9 + 4 = -5", "Multiply: -251 * (-5) = 1255"], "final_answer": "1255", "answer_type": "integer", "kind": "expression", "math_text": "(-51 - 200) * (-9 + 4)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 200, \"c\": -9, \"d\": 4}", "seed": "4215019015553380193", "semantic_fingerprint": "sha256:6f0884a3349b96aa03d8416ee6f30f8716a1bcefc428358574842c933f1e8b83", "generator_version": "3.0"}
{"id": "v3_val_00000590", "prompt": "Calculate: 8 + (0 - 89 * (-4))", "solution_steps": ["Multiply: 89 * (-4) = -356", "Subtract: 0 - (-356) = 356", "Add: 8 + 356 = 364"], "final_answer": "364", "answer_type": "integer", "kind": "expression", "math_text": "8 + (0 - 89 * (-4))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 0, \"c\": 89, \"d\": -4}", "seed": "7951764828665779024", "semantic_fingerprint": "sha256:02fdcf5d735f8dc61a1a022833074de8eae1af94ef9f59b09e250e9ec5825518", "generator_version": "3.0"}
{"id": "v3_val_00000591", "prompt": "Calculate: 317 * (326 / 38) - (-407)", "solution_steps": ["Divide: 326 / 38 = 163/19", "Multiply: 317 * (163/19) = 51671/19", "Subtract: 51671/19 - (-407) = 59404/19"], "final_answer": "59404/19", "answer_type": "rational", "kind": "expression", "math_text": "317 * (326 / 38) - (-407)", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 317, \"b\": 326, \"c\": 38, \"d\": -407}", "seed": "11070543098420417155", "semantic_fingerprint": "sha256:d5af501e44bc41baa5d6d599ec6c84d22a4c194546ce97a564d51cc693adb305", "generator_version": "3.0"}
{"id": "v3_val_00000592", "prompt": "Solve the equation -6(x + 35) = x for x.", "solution_steps": ["Expand: -6x - 210 = x", "Subtract x from both sides: -7x - 210 = 0", "Add 210 to both sides: -7x = 210", "Divide both sides by -7: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 35) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 35}", "seed": "13952399377242890612", "semantic_fingerprint": "sha256:fba464f7105e81ea35b65db0f5759f51beb1b2a676c219f1c0f58ec15d593897", "generator_version": "3.0"}
{"id": "v3_val_00000593", "prompt": "Evaluate: 2 + (-47 / (-3) + 4) * 83 / 5", "solution_steps": ["Divide: -47 / (-3) = 47/3", "Add: 47/3 + 4 = 59/3", "Multiply: (59/3) * 83 = 4897/3", "Divide: (4897/3) / 5 = 4897/15", "Add: 2 + 4897/15 = 4927/15"], "final_answer": "4927/15", "answer_type": "rational", "kind": "expression", "math_text": "2 + (-47 / (-3) + 4) * 83 / 5", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (* (+ (/ n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -47, \"c\": -3, \"d\": 4, \"e\": 83, \"f\": 5}", "seed": "11506705600580851627", "semantic_fingerprint": "sha256:f4a982180b3ded8ae540f89f9f11cb41b3c29638f9dccfb1e2229ab05c270fdf", "generator_version": "3.0"}
{"id": "v3_val_00000594", "prompt": "What value of x satisfies 4x - 9 = 70?", "solution_steps": ["Add 9 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": "4x - 9 = 70", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 70}", "seed": "2120135524160911255", "semantic_fingerprint": "sha256:44c6e2330244a29c69ed786f9bd9d5054356696a4722deed2ab28867d8bdc3ae", "generator_version": "3.0"}
{"id": "v3_val_00000595", "prompt": "What value of x satisfies -10(x - 1) - 640 = x - 531?", "solution_steps": ["Expand: -10x + 10 - 640 = x - 531", "Combine constants: -10x - 630 = x - 531", "Subtract x from both sides: -11x - 630 = -531", "Add 630 to both sides: -11x = 99", "Divide both sides by -11: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 1) - 640 = x - 531", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1, \"c\": 640, \"e\": -531, \"x\": -9}", "seed": "5647282402761559868", "semantic_fingerprint": "sha256:d783bfd91b055d562df527e5d4ca12279053fc1fa5966706bc9e6b746d71693a", "generator_version": "3.0"}
{"id": "v3_val_00000596", "prompt": "Solve the equation -8(x - 632) = -11x for x.", "solution_steps": ["Expand: -8x + 5056 = -11x", "Add 11x to both sides: 3x + 5056 = 0", "Subtract 5056 from both sides: 3x = -5056", "Divide both sides by 3: x = -5056/3"], "final_answer": "-5056/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 632) = -11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 632, \"c\": -11}", "seed": "12814382060285116425", "semantic_fingerprint": "sha256:aeab6732b9fbb55e769159570b237f6402a2be153a3f88fa4e46076d96e18926", "generator_version": "3.0"}
{"id": "v3_val_00000597", "prompt": "Calculate: 552 / 564", "solution_steps": ["Divide: 552 / 564 = 46/47"], "final_answer": "46/47", "answer_type": "rational", "kind": "expression", "math_text": "552 / 564", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 552, \"b\": 564}", "seed": "5902483448404712339", "semantic_fingerprint": "sha256:3aaba79a056b2860dba65f123585715c47c3ecae17f6b36a9137214301c7d501", "generator_version": "3.0"}
{"id": "v3_val_00000598", "prompt": "Evaluate: 72 - 3 / (-44)", "solution_steps": ["Divide: 3 / (-44) = -3/44", "Subtract: 72 - (-3/44) = 3171/44"], "final_answer": "3171/44", "answer_type": "rational", "kind": "expression", "math_text": "72 - 3 / (-44)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 3, \"c\": -44}", "seed": "5438731172325456192", "semantic_fingerprint": "sha256:e78e09ade15d6cefb5c97ee1287b002d6208b1778a451aba9f7ea9f454026857", "generator_version": "3.0"}
{"id": "v3_val_00000599", "prompt": "Compute: (-32 + (49 + 904)) / 548", "solution_steps": ["Add: 49 + 904 = 953", "Add: -32 + 953 = 921", "Divide: 921 / 548 = 921/548"], "final_answer": "921/548", "answer_type": "rational", "kind": "expression", "math_text": "(-32 + (49 + 904)) / 548", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 49, \"c\": 904, \"d\": 548}", "seed": "14152087363548148096", "semantic_fingerprint": "sha256:cea555efc74ebbd9f56b9edaeba68583fa6a0558ec2d934c456e43c74d527d5a", "generator_version": "3.0"}
{"id": "v3_val_00000600", "prompt": "Compute: 190 + (445 + 83)", "solution_steps": ["Add: 445 + 83 = 528", "Add: 190 + 528 = 718"], "final_answer": "718", "answer_type": "integer", "kind": "expression", "math_text": "190 + (445 + 83)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 190, \"b\": 445, \"c\": 83}", "seed": "4691657377799635883", "semantic_fingerprint": "sha256:8f82d32c70bedddd810eb32770530ff64c0c03d4c94a9b7825dcbf6e0a462c5d", "generator_version": "3.0"}
{"id": "v3_val_00000601", "prompt": "Evaluate: 525 / (1 + 4)", "solution_steps": ["Add: 1 + 4 = 5", "Divide: 525 / 5 = 105"], "final_answer": "105", "answer_type": "integer", "kind": "expression", "math_text": "525 / (1 + 4)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 525, \"b\": 1, \"c\": 4}", "seed": "11437442005133593787", "semantic_fingerprint": "sha256:8e9284622b304fa537231673012ce476794651db4c34e7ae123c157c7b72226e", "generator_version": "3.0"}
{"id": "v3_val_00000602", "prompt": "Evaluate: 31 - 3 + (-80) + (-81 - (-2))", "solution_steps": ["Subtract: 31 - 3 = 28", "Add: 28 + (-80) = -52", "Subtract: -81 - (-2) = -79", "Add: -52 + (-79) = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "expression", "math_text": "31 - 3 + (-80) + (-81 - (-2))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 3, \"c\": -80, \"d\": -81, \"e\": -2}", "seed": "6425047220304378197", "semantic_fingerprint": "sha256:7418ce74c1196794833cb73d839afdcd23574abba750e26d41185062be0c853a", "generator_version": "3.0"}
{"id": "v3_val_00000603", "prompt": "Solve the equation 5x = -35 for x.", "solution_steps": ["Divide both sides by 5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = -35", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": -35, \"x\": -7}", "seed": "12836941855525844757", "semantic_fingerprint": "sha256:84999bb0f63aaee78190f8f9275e04b0f23cf4294cd26c98ed4d60cbd026b2a0", "generator_version": "3.0"}
{"id": "v3_val_00000604", "prompt": "Compute: 0 * 95", "solution_steps": ["Multiply: 0 * 95 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 95", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 95}", "seed": "14538391822873283235", "semantic_fingerprint": "sha256:27a432690ae3633c78e93637c4b77d0423ef9e11845317a83eeacb406d143eff", "generator_version": "3.0"}
{"id": "v3_val_00000605", "prompt": "Calculate: (-23 + (-2)) * 9", "solution_steps": ["Add: -23 + (-2) = -25", "Multiply: -25 * 9 = -225"], "final_answer": "-225", "answer_type": "integer", "kind": "expression", "math_text": "(-23 + (-2)) * 9", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -2, \"c\": 9}", "seed": "4696952610612064907", "semantic_fingerprint": "sha256:ca4c046cb633668143cd931ea895b3eb10d19a8eaa08c60215926a6133db56cf", "generator_version": "3.0"}
{"id": "v3_val_00000606", "prompt": "What value of x satisfies 11(x + 5) + 3 = -2(x - 190) - 582?", "solution_steps": ["Expand: 11x + 55 + 3 = -2(x - 190) - 582", "Expand: 11x + 55 + 3 = -2x + 380 - 582", "Combine constants: 11x + 58 = -2x + 380 - 582", "Combine constants: 11x + 58 = -2x - 202", "Add 2x to both sides: 13x + 58 = -202", "Subtract 58 from both sides: 13x = -260", "Divide both sides by 13: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 5) + 3 = -2(x - 190) - 582", "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\": -2, \"e\": 190, \"g\": -582, \"x\": -20}", "seed": "15921015477422668554", "semantic_fingerprint": "sha256:42a5f876fafb45a61beb2ac056cdf6011830f2d355dd444e95a98f1de7ddf6fb", "generator_version": "3.0"}
{"id": "v3_val_00000607", "prompt": "Solve the equation 8(x + 24) = -9x + 73 for x.", "solution_steps": ["Expand: 8x + 192 = -9x + 73", "Add 9x to both sides: 17x + 192 = 73", "Subtract 192 from both sides: 17x = -119", "Divide both sides by 17: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 24) = -9x + 73", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 24, \"c\": -9, \"e\": 73, \"x\": -7}", "seed": "15792958929738686900", "semantic_fingerprint": "sha256:23ee8f69f8ad752219a9b7df34b3c80c5304e5313332a64a0412c444a7ada8ca", "generator_version": "3.0"}
{"id": "v3_val_00000608", "prompt": "Solve for x: 9(x + 29) = 7(x + 22)", "solution_steps": ["Expand: 9x + 261 = 7(x + 22)", "Expand: 9x + 261 = 7x + 154", "Subtract 7x from both sides: 2x + 261 = 154", "Subtract 261 from both sides: 2x = -107", "Divide both sides by 2: x = -107/2"], "final_answer": "-107/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 29) = 7(x + 22)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 29, \"c\": 7, \"d\": 22}", "seed": "11447539178271053941", "semantic_fingerprint": "sha256:26b3e8387eb265274b947f2c98d23040d1ed98e8ac9046dce7b1ae2364a45eaa", "generator_version": "3.0"}
{"id": "v3_val_00000609", "prompt": "Calculate: 77 + (-962)", "solution_steps": ["Add: 77 + (-962) = -885"], "final_answer": "-885", "answer_type": "integer", "kind": "expression", "math_text": "77 + (-962)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -962}", "seed": "4886801157139313066", "semantic_fingerprint": "sha256:9a6b3f3911d5ce7c6c30fe3fd9fb136962ffdc55952f8e8ea526619fc377af41", "generator_version": "3.0"}
{"id": "v3_val_00000610", "prompt": "Calculate: -62 / (-7) + (-7) + (0 - (-500))", "solution_steps": ["Divide: -62 / (-7) = 62/7", "Add: 62/7 + (-7) = 13/7", "Subtract: 0 - (-500) = 500", "Add: 13/7 + 500 = 3513/7"], "final_answer": "3513/7", "answer_type": "rational", "kind": "expression", "math_text": "-62 / (-7) + (-7) + (0 - (-500))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -7, \"c\": -7, \"d\": 0, \"e\": -500}", "seed": "15344696850035467079", "semantic_fingerprint": "sha256:4741e790698121490aaeafe902a87e76919689c43c3ac3ac36392ce2561f54fc", "generator_version": "3.0"}
{"id": "v3_val_00000611", "prompt": "What value of x satisfies x + 2 = 12x - 476?", "solution_steps": ["Subtract 12x from both sides: -11x + 2 = -476", "Subtract 2 from both sides: -11x = -478", "Divide both sides by -11: x = 478/11"], "final_answer": "478/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2 = 12x - 476", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 12, \"c\": 476}", "seed": "4498378508601835989", "semantic_fingerprint": "sha256:cf1288017017cd5fbca391338a718974f8aa2fbbedf1a5b7cc96420fcf2cf625", "generator_version": "3.0"}
{"id": "v3_val_00000612", "prompt": "Compute: 188 + 41 * 86", "solution_steps": ["Multiply: 41 * 86 = 3526", "Add: 188 + 3526 = 3714"], "final_answer": "3714", "answer_type": "integer", "kind": "expression", "math_text": "188 + 41 * 86", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 188, \"b\": 41, \"c\": 86}", "seed": "16583996847372994466", "semantic_fingerprint": "sha256:a44749fbd40729707fd4d1ec1353f7d8194a49f2d4b7147c1cbf3bad884d7d57", "generator_version": "3.0"}
{"id": "v3_val_00000613", "prompt": "What value of x satisfies 8(x + 844) - 14 = 5x?", "solution_steps": ["Expand: 8x + 6752 - 14 = 5x", "Combine constants: 8x + 6738 = 5x", "Subtract 5x from both sides: 3x + 6738 = 0", "Subtract 6738 from both sides: 3x = -6738", "Divide both sides by 3: x = -2246"], "final_answer": "-2246", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 844) - 14 = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 844, \"c\": 14, \"d\": 5}", "seed": "11388900556766673828", "semantic_fingerprint": "sha256:3e14df57c2a6cd851ab680d3cf061a3ef01fb36fbadbe0c39ba1829e8f6c31d2", "generator_version": "3.0"}
{"id": "v3_val_00000614", "prompt": "Compute: -791 * (-37 / (-700))", "solution_steps": ["Divide: -37 / (-700) = 37/700", "Multiply: -791 * (37/700) = -4181/100"], "final_answer": "-4181/100", "answer_type": "rational", "kind": "expression", "math_text": "-791 * (-37 / (-700))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -791, \"b\": -37, \"c\": -700}", "seed": "612280820890915250", "semantic_fingerprint": "sha256:02d49ab9281bd029e9319473baa1bee735c32ab5006204813aeaf383d1a3daa5", "generator_version": "3.0"}
{"id": "v3_val_00000615", "prompt": "Find x: x + 78 = 60", "solution_steps": ["Subtract 78 from both sides: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 78 = 60", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 78, \"c\": 60, \"x\": -18}", "seed": "9694527976681875308", "semantic_fingerprint": "sha256:b3f271f05f9396a0b8c99ae00d5a403b1fdc0f6f104dffd9c4f61d1e5b3686be", "generator_version": "3.0"}
{"id": "v3_val_00000616", "prompt": "Calculate: -43 * 945", "solution_steps": ["Multiply: -43 * 945 = -40635"], "final_answer": "-40635", "answer_type": "integer", "kind": "expression", "math_text": "-43 * 945", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 945}", "seed": "9760622736368060113", "semantic_fingerprint": "sha256:4def19f1a4c3684641c66cca6f35ba80cc3b73ecec16df2ba39669205a7fa5a5", "generator_version": "3.0"}
{"id": "v3_val_00000617", "prompt": "Evaluate: 79 / (76 - 290) - (-47 + (-142))", "solution_steps": ["Subtract: 76 - 290 = -214", "Divide: 79 / (-214) = -79/214", "Add: -47 + (-142) = -189", "Subtract: -79/214 - (-189) = 40367/214"], "final_answer": "40367/214", "answer_type": "rational", "kind": "expression", "math_text": "79 / (76 - 290) - (-47 + (-142))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 76, \"c\": 290, \"d\": -47, \"e\": -142}", "seed": "5000407368754148010", "semantic_fingerprint": "sha256:3880f99bf3c773bbe888761480e7c83f5d3d523732119eb8bde3fb03c20dcef1", "generator_version": "3.0"}
{"id": "v3_val_00000618", "prompt": "Solve the equation -11x - 13 = 11x for x.", "solution_steps": ["Subtract 11x from both sides: -22x - 13 = 0", "Add 13 to both sides: -22x = 13", "Divide both sides by -22: x = -13/22"], "final_answer": "-13/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x - 13 = 11x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 13, \"c\": 11}", "seed": "16342392485954784470", "semantic_fingerprint": "sha256:b6aeaf3659e25e64e0865dac8f3a1b88861fc2ce34673ede04edfc675687a30c", "generator_version": "3.0"}
{"id": "v3_val_00000619", "prompt": "Find x: 8(x - 1) + 29 = 11x", "solution_steps": ["Expand: 8x - 8 + 29 = 11x", "Combine constants: 8x + 21 = 11x", "Subtract 11x 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": "8(x - 1) + 29 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 11, \"e\": 29, \"x\": 7}", "seed": "10240053528695630416", "semantic_fingerprint": "sha256:a20922ef8c5b1927ff5f6349fa024f0dacc974ba54af509973afd80732f64b5c", "generator_version": "3.0"}
{"id": "v3_val_00000620", "prompt": "Calculate: -923 + (-819) + (-20 + 78)", "solution_steps": ["Add: -923 + (-819) = -1742", "Add: -20 + 78 = 58", "Add: -1742 + 58 = -1684"], "final_answer": "-1684", "answer_type": "integer", "kind": "expression", "math_text": "-923 + (-819) + (-20 + 78)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -923, \"b\": -819, \"c\": -20, \"d\": 78}", "seed": "6541781702464126431", "semantic_fingerprint": "sha256:9a4228e5f83177660acbf0107db7c5de5adeb0781619b1d5c5c6f44a8e497f26", "generator_version": "3.0"}
{"id": "v3_val_00000621", "prompt": "Solve for x: -6(x - 842) = 9(x + 53)", "solution_steps": ["Expand: -6x + 5052 = 9(x + 53)", "Expand: -6x + 5052 = 9x + 477", "Subtract 9x from both sides: -15x + 5052 = 477", "Subtract 5052 from both sides: -15x = -4575", "Divide both sides by -15: x = 305"], "final_answer": "305", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 842) = 9(x + 53)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 842, \"c\": 9, \"d\": 53}", "seed": "9238277657322326111", "semantic_fingerprint": "sha256:01c5d0e39dfe8839627e326cc45f00fe279d79f283ed6802047deec967edcd39", "generator_version": "3.0"}
{"id": "v3_val_00000622", "prompt": "What is (-248 - (-84) + (-50 - (857 - 94))) / 3?", "solution_steps": ["Subtract: -248 - (-84) = -164", "Subtract: 857 - 94 = 763", "Subtract: -50 - 763 = -813", "Add: -164 + (-813) = -977", "Divide: -977 / 3 = -977/3"], "final_answer": "-977/3", "answer_type": "rational", "kind": "expression", "math_text": "(-248 - (-84) + (-50 - (857 - 94))) / 3", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) (- n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -248, \"b\": -84, \"c\": -50, \"d\": 857, \"e\": 94, \"f\": 3}", "seed": "18012281680114323876", "semantic_fingerprint": "sha256:fb9d7c94d0a6aebcb497acd2568090545d8413e206ffa90ee2dd71ba34934ae2", "generator_version": "3.0"}
{"id": "v3_val_00000623", "prompt": "Evaluate: (-661 - (-401)) * (-26)", "solution_steps": ["Subtract: -661 - (-401) = -260", "Multiply: -260 * (-26) = 6760"], "final_answer": "6760", "answer_type": "integer", "kind": "expression", "math_text": "(-661 - (-401)) * (-26)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -661, \"b\": -401, \"c\": -26}", "seed": "12989224453376333150", "semantic_fingerprint": "sha256:ded222939747b325d56515d5d963d7a53fe11a1e958c6c37d7570aedbd6ea64c", "generator_version": "3.0"}
{"id": "v3_val_00000624", "prompt": "Compute: -491 / (-1) - (-285 + (-61))", "solution_steps": ["Divide: -491 / (-1) = 491", "Add: -285 + (-61) = -346", "Subtract: 491 - (-346) = 837"], "final_answer": "837", "answer_type": "integer", "kind": "expression", "math_text": "-491 / (-1) - (-285 + (-61))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -491, \"b\": -1, \"c\": -285, \"d\": -61}", "seed": "6458038724579371217", "semantic_fingerprint": "sha256:3ad7dd275403d88490d281ae313806aef8ab5593583aaa3fe25068c4ad58c2cb", "generator_version": "3.0"}
{"id": "v3_val_00000625", "prompt": "What value of x satisfies 2(x + 20) = 8(x + 34) - 196?", "solution_steps": ["Expand: 2x + 40 = 8(x + 34) - 196", "Expand: 2x + 40 = 8x + 272 - 196", "Combine constants: 2x + 40 = 8x + 76", "Subtract 8x from both sides: -6x + 40 = 76", "Subtract 40 from both sides: -6x = 36", "Divide both sides by -6: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 20) = 8(x + 34) - 196", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 20, \"c\": 8, \"d\": 34, \"f\": -196, \"x\": -6}", "seed": "3978148726855963617", "semantic_fingerprint": "sha256:be63692952840e6fcba5a7951dc56ac78e0b922a751e1e393b65da9df23b7175", "generator_version": "3.0"}
{"id": "v3_val_00000626", "prompt": "Find x: 5(x - 3) = 7(x - 64) + 407", "solution_steps": ["Expand: 5x - 15 = 7(x - 64) + 407", "Expand: 5x - 15 = 7x - 448 + 407", "Combine constants: 5x - 15 = 7x - 41", "Subtract 7x from both sides: -2x - 15 = -41", "Add 15 to both sides: -2x = -26", "Divide both sides by -2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 3) = 7(x - 64) + 407", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 7, \"d\": 64, \"f\": 407, \"x\": 13}", "seed": "17983673110534384414", "semantic_fingerprint": "sha256:009ca9616cdef08cb09d5644882ec5b91591808c24ec5bdd31e4e20b34c63cb4", "generator_version": "3.0"}
{"id": "v3_val_00000627", "prompt": "Solve for x: -11x + 265 = -3(x + 5) + 26", "solution_steps": ["Expand: -11x + 265 = -3x - 15 + 26", "Combine constants: -11x + 265 = -3x + 11", "Add 3x to both sides: -8x + 265 = 11", "Subtract 265 from both sides: -8x = -254", "Divide both sides by -8: x = 127/4"], "final_answer": "127/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x + 265 = -3(x + 5) + 26", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 265, \"c\": -3, \"d\": 5, \"e\": 26}", "seed": "10930697133430701966", "semantic_fingerprint": "sha256:230813f18ca025a0fa0220c0e114d723fe5c9a26ff234e83a7ff657a135588fe", "generator_version": "3.0"}
{"id": "v3_val_00000628", "prompt": "Calculate: (-7 - (-9)) * 9 / (-2)", "solution_steps": ["Subtract: -7 - (-9) = 2", "Multiply: 2 * 9 = 18", "Divide: 18 / (-2) = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - (-9)) * 9 / (-2)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -9, \"c\": 9, \"d\": -2}", "seed": "534194934364710110", "semantic_fingerprint": "sha256:b651357e8b76733c162fa7de1f1277cb0cd4cc9b156865c9d17e5de5d41b8302", "generator_version": "3.0"}
{"id": "v3_val_00000629", "prompt": "Solve for x: -10x - 1 = x", "solution_steps": ["Subtract x from both sides: -11x - 1 = 0", "Add 1 to both sides: -11x = 1", "Divide both sides by -11: x = -1/11"], "final_answer": "-1/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x - 1 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1}", "seed": "7401992484201860571", "semantic_fingerprint": "sha256:ab23469ebd1714dfc9dda99038336ae06b2d8656eaf901059bfeda5f00101bf3", "generator_version": "3.0"}
{"id": "v3_val_00000630", "prompt": "Evaluate: -79 - (-42)", "solution_steps": ["Subtract: -79 - (-42) = -37"], "final_answer": "-37", "answer_type": "integer", "kind": "expression", "math_text": "-79 - (-42)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -42}", "seed": "13847298588882052129", "semantic_fingerprint": "sha256:c13f66e0216fe5d5261abedd7478fbd67a63befb409c7338392c914921ea390e", "generator_version": "3.0"}
{"id": "v3_val_00000631", "prompt": "Compute: 4 - 51 + (397 / 819 + (-287))", "solution_steps": ["Subtract: 4 - 51 = -47", "Divide: 397 / 819 = 397/819", "Add: 397/819 + (-287) = -234656/819", "Add: -47 + (-234656/819) = -273149/819"], "final_answer": "-273149/819", "answer_type": "rational", "kind": "expression", "math_text": "4 - 51 + (397 / 819 + (-287))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 51, \"c\": 397, \"d\": 819, \"e\": -287}", "seed": "9393629190605014534", "semantic_fingerprint": "sha256:b0d116b7e595d81643a1daf6b5946f4626e47592a4bcce362202a5522541c0c3", "generator_version": "3.0"}
{"id": "v3_val_00000632", "prompt": "Find x: x + 35 = 35", "solution_steps": ["Subtract 35 from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 35 = 35", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 35, \"c\": 35, \"x\": 0}", "seed": "6446731650156255932", "semantic_fingerprint": "sha256:b95d1b0bd66292eda3752a3747fc8aa71311bc9232286405a640cdcddce2a7de", "generator_version": "3.0"}
{"id": "v3_val_00000633", "prompt": "Evaluate: -40 - (3 - 0) / (9 - 437)", "solution_steps": ["Subtract: 3 - 0 = 3", "Subtract: 9 - 437 = -428", "Divide: 3 / (-428) = -3/428", "Subtract: -40 - (-3/428) = -17117/428"], "final_answer": "-17117/428", "answer_type": "rational", "kind": "expression", "math_text": "-40 - (3 - 0) / (9 - 437)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 3, \"c\": 0, \"d\": 9, \"e\": 437}", "seed": "12051625312156591253", "semantic_fingerprint": "sha256:b75d051732e07d95e308f5405a7b8cd022576543b37f58ecda40983ce83fb38c", "generator_version": "3.0"}
{"id": "v3_val_00000634", "prompt": "Solve for x: x + 313 = -2x + 5", "solution_steps": ["Add 2x to both sides: 3x + 313 = 5", "Subtract 313 from both sides: 3x = -308", "Divide both sides by 3: x = -308/3"], "final_answer": "-308/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 313 = -2x + 5", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 313, \"b\": -2, \"c\": 5}", "seed": "9024514420558072337", "semantic_fingerprint": "sha256:9d568024c2eba9f9d770e96601e7be0c7355cab8cd2964c21a673457f3cf403b", "generator_version": "3.0"}
{"id": "v3_val_00000635", "prompt": "What is 792 + (-7)?", "solution_steps": ["Add: 792 + (-7) = 785"], "final_answer": "785", "answer_type": "integer", "kind": "expression", "math_text": "792 + (-7)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 792, \"b\": -7}", "seed": "7372556132443369974", "semantic_fingerprint": "sha256:4e12d74871e3bcf70e073113c06a8dfd93a4c88956146fe3e3d3a664830a4e76", "generator_version": "3.0"}
{"id": "v3_val_00000636", "prompt": "Compute: -8 - (328 + 5 - 8)", "solution_steps": ["Add: 328 + 5 = 333", "Subtract: 333 - 8 = 325", "Subtract: -8 - 325 = -333"], "final_answer": "-333", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (328 + 5 - 8)", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 328, \"c\": 5, \"d\": 8}", "seed": "7550705337964623396", "semantic_fingerprint": "sha256:df8e49fe683df87efcbe9a93320e023f12b153d61bf816cb07da2e9ceda91b4b", "generator_version": "3.0"}
{"id": "v3_val_00000637", "prompt": "Find x: 9(x + 80) - 162 = 3(x + 84) + 384", "solution_steps": ["Expand: 9x + 720 - 162 = 3(x + 84) + 384", "Expand: 9x + 720 - 162 = 3x + 252 + 384", "Combine constants: 9x + 558 = 3x + 252 + 384", "Combine constants: 9x + 558 = 3x + 636", "Subtract 3x from both sides: 6x + 558 = 636", "Subtract 558 from both sides: 6x = 78", "Divide both sides by 6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 80) - 162 = 3(x + 84) + 384", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 80, \"c\": 162, \"d\": 3, \"e\": 84, \"g\": 384, \"x\": 13}", "seed": "12522723971521326083", "semantic_fingerprint": "sha256:00553c8eaec1e3b073f21977313be3a34a5a9261b5c42d9d21a1f0a95ee23bcd", "generator_version": "3.0"}
{"id": "v3_val_00000638", "prompt": "What is -6 + 35 * (31 - 687 / 11 - (-9))?", "solution_steps": ["Divide: 687 / 11 = 687/11", "Subtract: 31 - 687/11 = -346/11", "Subtract: -346/11 - (-9) = -247/11", "Multiply: 35 * (-247/11) = -8645/11", "Add: -6 + (-8645/11) = -8711/11"], "final_answer": "-8711/11", "answer_type": "rational", "kind": "expression", "math_text": "-6 + 35 * (31 - 687 / 11 - (-9))", "variable": null, "family": "expression_5op", "shape": "(+ n (* n (- (- n (/ n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 35, \"c\": 31, \"d\": 687, \"e\": 11, \"f\": -9}", "seed": "4551637677521165897", "semantic_fingerprint": "sha256:58c4b0483041da75a923493d2cffc7df76a6fbc1586b5ecdb3690d57c532d816", "generator_version": "3.0"}
{"id": "v3_val_00000639", "prompt": "Calculate: 11 - (-999)", "solution_steps": ["Subtract: 11 - (-999) = 1010"], "final_answer": "1010", "answer_type": "integer", "kind": "expression", "math_text": "11 - (-999)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -999}", "seed": "2659509730185317704", "semantic_fingerprint": "sha256:484b478b9d4c77932636ee9750be8b5c4f9aaed4b55b96d32973f5a5a9d1b9b7", "generator_version": "3.0"}
{"id": "v3_val_00000640", "prompt": "What is 63 / 65 / 4 + (-59 - (248 - (-929)))?", "solution_steps": ["Divide: 63 / 65 = 63/65", "Divide: (63/65) / 4 = 63/260", "Subtract: 248 - (-929) = 1177", "Subtract: -59 - 1177 = -1236", "Add: 63/260 + (-1236) = -321297/260"], "final_answer": "-321297/260", "answer_type": "rational", "kind": "expression", "math_text": "63 / 65 / 4 + (-59 - (248 - (-929)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 65, \"c\": 4, \"d\": -59, \"e\": 248, \"f\": -929}", "seed": "725027545036070195", "semantic_fingerprint": "sha256:fa7479da0dc691a101bba7bfa634ac6e30eebaba3d9243126369cd7a21f0e7d0", "generator_version": "3.0"}
{"id": "v3_val_00000641", "prompt": "What is (-9 * (-17) - 3) * (-53 - 10)?", "solution_steps": ["Multiply: -9 * (-17) = 153", "Subtract: 153 - 3 = 150", "Subtract: -53 - 10 = -63", "Multiply: 150 * (-63) = -9450"], "final_answer": "-9450", "answer_type": "integer", "kind": "expression", "math_text": "(-9 * (-17) - 3) * (-53 - 10)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -17, \"c\": 3, \"d\": -53, \"e\": 10}", "seed": "4118040676970902638", "semantic_fingerprint": "sha256:5b241cac7b5de9500157fd02a9573748f9d3559cf116bd285bcf441ddac28cd9", "generator_version": "3.0"}
{"id": "v3_val_00000642", "prompt": "Evaluate: 2 + ((2 - (-133)) / 9 - (-788)) - (-3)", "solution_steps": ["Subtract: 2 - (-133) = 135", "Divide: 135 / 9 = 15", "Subtract: 15 - (-788) = 803", "Add: 2 + 803 = 805", "Subtract: 805 - (-3) = 808"], "final_answer": "808", "answer_type": "integer", "kind": "expression", "math_text": "2 + ((2 - (-133)) / 9 - (-788)) - (-3)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- (/ (- n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": -133, \"d\": 9, \"e\": -788, \"f\": -3}", "seed": "3914337470185990738", "semantic_fingerprint": "sha256:e4b152c6e4fce6e3c6249f4cf969c140a4c1a0ca0b18a2cc99ea09aa6b8ac583", "generator_version": "3.0"}
{"id": "v3_val_00000643", "prompt": "What is 564 - (-9)?", "solution_steps": ["Subtract: 564 - (-9) = 573"], "final_answer": "573", "answer_type": "integer", "kind": "expression", "math_text": "564 - (-9)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 564, \"b\": -9}", "seed": "9205705866503279752", "semantic_fingerprint": "sha256:d2cefb8dad9b263e6765db8f0a9ebd21eda86982a322229774eb8df5ef2abf54", "generator_version": "3.0"}
{"id": "v3_val_00000644", "prompt": "What value of x satisfies 4(x - 88) + 21 = 10x - 378?", "solution_steps": ["Expand: 4x - 352 + 21 = 10x - 378", "Combine constants: 4x - 331 = 10x - 378", "Subtract 10x from both sides: -6x - 331 = -378", "Add 331 to both sides: -6x = -47", "Divide both sides by -6: x = 47/6"], "final_answer": "47/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 88) + 21 = 10x - 378", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 88, \"c\": 21, \"d\": 10, \"e\": 378}", "seed": "5355913275566027771", "semantic_fingerprint": "sha256:ccd26f915592e65e63925721b1289199340502d71c838035aef83414c1d59d61", "generator_version": "3.0"}
{"id": "v3_val_00000645", "prompt": "What value of x satisfies 6(x - 87) - 3 = 5x - 509?", "solution_steps": ["Expand: 6x - 522 - 3 = 5x - 509", "Combine constants: 6x - 525 = 5x - 509", "Subtract 5x from both sides: x - 525 = -509", "Add 525 to both sides: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 87) - 3 = 5x - 509", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 87, \"c\": 3, \"d\": 5, \"e\": 509}", "seed": "3714882841830786658", "semantic_fingerprint": "sha256:71ce8ac947b83f3066847c5adf1f42f548a38180a333e025bfb75907f00c2455", "generator_version": "3.0"}
{"id": "v3_val_00000646", "prompt": "Solve the equation 8x + 136 = 6(x + 20) for x.", "solution_steps": ["Expand: 8x + 136 = 6x + 120", "Subtract 6x from both sides: 2x + 136 = 120", "Subtract 136 from both sides: 2x = -16", "Divide both sides by 2: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 136 = 6(x + 20)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 20, \"e\": 136, \"x\": -8}", "seed": "16121577767969395661", "semantic_fingerprint": "sha256:001a0966b0c687dceafa139c9b1719b01a554211c1c07330aee72d234bed60a6", "generator_version": "3.0"}
{"id": "v3_val_00000647", "prompt": "Solve the equation 9x + 7 = 142 for x.", "solution_steps": ["Subtract 7 from both sides: 9x = 135", "Divide both sides by 9: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 7 = 142", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"d\": 142, \"x\": 15}", "seed": "9595874992324717376", "semantic_fingerprint": "sha256:998e311f5b1389916fabd486316357707a997d11ea9966c11f001e535fcf6bf4", "generator_version": "3.0"}
{"id": "v3_val_00000648", "prompt": "What value of x satisfies x + 1 = 6x + 61?", "solution_steps": ["Subtract 6x from both sides: -5x + 1 = 61", "Subtract 1 from both sides: -5x = 60", "Divide both sides by -5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1 = 6x + 61", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 6, \"d\": 61, \"x\": -12}", "seed": "10040877803920868724", "semantic_fingerprint": "sha256:4ff05fae8296e46c43522c648eb949614880474eee032a350f49477ed2e4f9a0", "generator_version": "3.0"}
{"id": "v3_val_00000649", "prompt": "Solve for x: x - 595 = 12(x + 9) - 813", "solution_steps": ["Expand: x - 595 = 12x + 108 - 813", "Combine constants: x - 595 = 12x - 705", "Subtract 12x from both sides: -11x - 595 = -705", "Add 595 to both sides: -11x = -110", "Divide both sides by -11: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 595 = 12(x + 9) - 813", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 595, \"b\": 12, \"c\": 9, \"e\": -813, \"x\": 10}", "seed": "5674782117448246328", "semantic_fingerprint": "sha256:dc7fc1109d8d64cdd64ac532fc584f680d2329b1bd460a5d0291d895fb162a30", "generator_version": "3.0"}
{"id": "v3_val_00000650", "prompt": "Find x: x - 93 = 9x - 181", "solution_steps": ["Subtract 9x from both sides: -8x - 93 = -181", "Add 93 to both sides: -8x = -88", "Divide both sides by -8: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 93 = 9x - 181", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 9, \"d\": -181, \"x\": 11}", "seed": "5494846028788974725", "semantic_fingerprint": "sha256:2f9b3bb00b8f9961b6a626f24ecc622ac73f8eb9a5cb0f1978e58a556e697067", "generator_version": "3.0"}
{"id": "v3_val_00000651", "prompt": "What is 48 - (-8)?", "solution_steps": ["Subtract: 48 - (-8) = 56"], "final_answer": "56", "answer_type": "integer", "kind": "expression", "math_text": "48 - (-8)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -8}", "seed": "2815159329000934676", "semantic_fingerprint": "sha256:ea15a17c9346a664982b372f4da8d8df1073ee8c9e55ac377d86601ceeb97152", "generator_version": "3.0"}
{"id": "v3_val_00000652", "prompt": "Evaluate: 31 + 7 - (-57 - 35)", "solution_steps": ["Add: 31 + 7 = 38", "Subtract: -57 - 35 = -92", "Subtract: 38 - (-92) = 130"], "final_answer": "130", "answer_type": "integer", "kind": "expression", "math_text": "31 + 7 - (-57 - 35)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 7, \"c\": -57, \"d\": 35}", "seed": "2419947629411412791", "semantic_fingerprint": "sha256:ec83694a837cc0fb0956d1f362ede3f5a08a99e35e11346316603101466b3130", "generator_version": "3.0"}
{"id": "v3_val_00000653", "prompt": "What value of x satisfies -12(x - 229) - 118 = x?", "solution_steps": ["Expand: -12x + 2748 - 118 = x", "Combine constants: -12x + 2630 = x", "Subtract x from both sides: -13x + 2630 = 0", "Subtract 2630 from both sides: -13x = -2630", "Divide both sides by -13: x = 2630/13"], "final_answer": "2630/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 229) - 118 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 229, \"c\": 118}", "seed": "2055467912900335070", "semantic_fingerprint": "sha256:457478fd6c0008a6ada1cb4be12a83a3eebbead4b26f529c9271e6fcfa7d2028", "generator_version": "3.0"}
{"id": "v3_val_00000654", "prompt": "Solve for x: 5x = 3x", "solution_steps": ["Subtract 3x from both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 3x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3}", "seed": "983379178814246313", "semantic_fingerprint": "sha256:6fea66b8305dab826db6d3b440aa613f86d6200cd7258ab2106c8b54e03e8bfe", "generator_version": "3.0"}
{"id": "v3_val_00000655", "prompt": "What value of x satisfies x - 9 = 11(x - 9)?", "solution_steps": ["Expand: x - 9 = 11x - 99", "Subtract 11x from both sides: -10x - 9 = -99", "Add 9 to both sides: -10x = -90", "Divide both sides by -10: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 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\": -9, \"x\": 9}", "seed": "5996112854259468359", "semantic_fingerprint": "sha256:89262f5184f79ac00a4007105f288dba7a05340a0da014011994f503673d8c45", "generator_version": "3.0"}
{"id": "v3_val_00000656", "prompt": "Find x: -6(x + 9) - 7 = 9(x + 9) + 158", "solution_steps": ["Expand: -6x - 54 - 7 = 9(x + 9) + 158", "Expand: -6x - 54 - 7 = 9x + 81 + 158", "Combine constants: -6x - 61 = 9x + 81 + 158", "Combine constants: -6x - 61 = 9x + 239", "Subtract 9x from both sides: -15x - 61 = 239", "Add 61 to both sides: -15x = 300", "Divide both sides by -15: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 9) - 7 = 9(x + 9) + 158", "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\": 7, \"d\": 9, \"e\": 9, \"g\": 158, \"x\": -20}", "seed": "8462120012003461770", "semantic_fingerprint": "sha256:cffc2dba0642fc74216716205fa5f3b286e03fbccb19a7916cd39681ed6980f8", "generator_version": "3.0"}
{"id": "v3_val_00000657", "prompt": "Solve for x: x + 120 = 7x", "solution_steps": ["Subtract 7x from both sides: -6x + 120 = 0", "Subtract 120 from both sides: -6x = -120", "Divide both sides by -6: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 120 = 7x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": 120, \"x\": 20}", "seed": "17893850642967045716", "semantic_fingerprint": "sha256:b1196772204c796a799251a63459465e257f1ca0d09d1601bb4a48ae2a110dd9", "generator_version": "3.0"}
{"id": "v3_val_00000658", "prompt": "Solve for x: 6(x + 96) - 9 = 28", "solution_steps": ["Expand: 6x + 576 - 9 = 28", "Combine constants: 6x + 567 = 28", "Subtract 567 from both sides: 6x = -539", "Divide both sides by 6: x = -539/6"], "final_answer": "-539/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 96) - 9 = 28", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 96, \"c\": 9, \"d\": 28}", "seed": "15920226043614204910", "semantic_fingerprint": "sha256:f739e0391ebbce64ab7343f347ceca02d998b19c75a4eefffd8aa1f69c7100e3", "generator_version": "3.0"}
{"id": "v3_val_00000659", "prompt": "Compute: -5 + 48 / 8", "solution_steps": ["Divide: 48 / 8 = 6", "Add: -5 + 6 = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 48 / 8", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 48, \"c\": 8}", "seed": "9147901850470567946", "semantic_fingerprint": "sha256:5559ecbfd27c880547ef7e500526fc0e62f18e29df3ae8586f09c2f17a9e0c55", "generator_version": "3.0"}
{"id": "v3_val_00000660", "prompt": "Evaluate: (-8 + (-4 - 27)) / 445 * (-4)", "solution_steps": ["Subtract: -4 - 27 = -31", "Add: -8 + (-31) = -39", "Divide: -39 / 445 = -39/445", "Multiply: (-39/445) * (-4) = 156/445"], "final_answer": "156/445", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (-4 - 27)) / 445 * (-4)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -4, \"c\": 27, \"d\": 445, \"e\": -4}", "seed": "3594238072161391613", "semantic_fingerprint": "sha256:6e72ed7905ea896be557ac7afdc837a5e0bb92c7d1dfb78855915059886b6d6f", "generator_version": "3.0"}
{"id": "v3_val_00000661", "prompt": "Evaluate: (311 - 77) * (-51)", "solution_steps": ["Subtract: 311 - 77 = 234", "Multiply: 234 * (-51) = -11934"], "final_answer": "-11934", "answer_type": "integer", "kind": "expression", "math_text": "(311 - 77) * (-51)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 311, \"b\": 77, \"c\": -51}", "seed": "18206515049532896897", "semantic_fingerprint": "sha256:f128e6efebeb67d73f9f9d0e63d57230b97a60a19b14ca7fe95efefdc06545e6", "generator_version": "3.0"}
{"id": "v3_val_00000662", "prompt": "Solve the equation 9(x + 4) = -10x - 173 for x.", "solution_steps": ["Expand: 9x + 36 = -10x - 173", "Add 10x to both sides: 19x + 36 = -173", "Subtract 36 from both sides: 19x = -209", "Divide both sides by 19: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 4) = -10x - 173", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": -10, \"e\": -173, \"x\": -11}", "seed": "4899150340330739582", "semantic_fingerprint": "sha256:3eef6e15839dcdc0914e665f12ca55eae11e276e1f4b104e4d67906b46a5479e", "generator_version": "3.0"}
{"id": "v3_val_00000663", "prompt": "Solve for x: 4x = 10x + 4", "solution_steps": ["Subtract 10x from both sides: -6x = 4", "Divide both sides by -6: x = -2/3"], "final_answer": "-2/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = 10x + 4", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 10, \"c\": 4}", "seed": "8045035106883645127", "semantic_fingerprint": "sha256:d035913ec929495bf9a9ab875eb827db13a4b34a7a629a48333f7470e2c13a3b", "generator_version": "3.0"}
{"id": "v3_val_00000664", "prompt": "Calculate: 49 - (-8) - (-20)", "solution_steps": ["Subtract: 49 - (-8) = 57", "Subtract: 57 - (-20) = 77"], "final_answer": "77", "answer_type": "integer", "kind": "expression", "math_text": "49 - (-8) - (-20)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -8, \"c\": -20}", "seed": "14567982123380926187", "semantic_fingerprint": "sha256:ca9a1fc0413569fc470c93e96946cc9254cad7490c39db4390b71fe13f9f618a", "generator_version": "3.0"}
{"id": "v3_val_00000665", "prompt": "Calculate: -326 + 7", "solution_steps": ["Add: -326 + 7 = -319"], "final_answer": "-319", "answer_type": "integer", "kind": "expression", "math_text": "-326 + 7", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -326, \"b\": 7}", "seed": "15909726432024685731", "semantic_fingerprint": "sha256:f5b40cb6dbce767940093403344e163bf98e1fc5fea34f8bcd529688c5b01969", "generator_version": "3.0"}
{"id": "v3_val_00000666", "prompt": "What value of x satisfies 8(x + 93) = 11x + 801?", "solution_steps": ["Expand: 8x + 744 = 11x + 801", "Subtract 11x from both sides: -3x + 744 = 801", "Subtract 744 from both sides: -3x = 57", "Divide both sides by -3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 93) = 11x + 801", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 93, \"c\": 11, \"e\": 801, \"x\": -19}", "seed": "6594880504250815060", "semantic_fingerprint": "sha256:67fc0045f3ecf81455c27ed20dfa762d13ec8e89cd024894660a699395c3672a", "generator_version": "3.0"}
{"id": "v3_val_00000667", "prompt": "Calculate: 820 - (-411) + 5", "solution_steps": ["Subtract: 820 - (-411) = 1231", "Add: 1231 + 5 = 1236"], "final_answer": "1236", "answer_type": "integer", "kind": "expression", "math_text": "820 - (-411) + 5", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 820, \"b\": -411, \"c\": 5}", "seed": "3909194252991811240", "semantic_fingerprint": "sha256:d19b88356e167934bdc8d6dc4a5b85b7bcacff89b5b41edcc9c8b15bcd04bcdd", "generator_version": "3.0"}
{"id": "v3_val_00000668", "prompt": "Compute: (-99 - (-6 + (-78 + 76))) / 979", "solution_steps": ["Add: -78 + 76 = -2", "Add: -6 + (-2) = -8", "Subtract: -99 - (-8) = -91", "Divide: -91 / 979 = -91/979"], "final_answer": "-91/979", "answer_type": "rational", "kind": "expression", "math_text": "(-99 - (-6 + (-78 + 76))) / 979", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -6, \"c\": -78, \"d\": 76, \"e\": 979}", "seed": "14836865667986153894", "semantic_fingerprint": "sha256:a7b9e0cbf4a22e6a64c26497c21e19bdbc00bc1d2bcecd8d364f5310bf773a67", "generator_version": "3.0"}
{"id": "v3_val_00000669", "prompt": "Solve the equation -7x + 198 = 11x for x.", "solution_steps": ["Subtract 11x from both sides: -18x + 198 = 0", "Subtract 198 from both sides: -18x = -198", "Divide both sides by -18: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x + 198 = 11x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 11, \"d\": 198, \"x\": 11}", "seed": "15632873107540919766", "semantic_fingerprint": "sha256:8c1a7280c3c5c978a5357b933c859115b9dc7afa3f20e4831e99bb7cf30492a5", "generator_version": "3.0"}
{"id": "v3_val_00000670", "prompt": "Calculate: -1 + 495 + (-5)", "solution_steps": ["Add: -1 + 495 = 494", "Add: 494 + (-5) = 489"], "final_answer": "489", "answer_type": "integer", "kind": "expression", "math_text": "-1 + 495 + (-5)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 495, \"c\": -5}", "seed": "4162425893107308517", "semantic_fingerprint": "sha256:b6f27a424ce90b0dcb5d32085655f3cc55a9d377a07f7a72b3f9ecc48c1cc2df", "generator_version": "3.0"}
{"id": "v3_val_00000671", "prompt": "What value of x satisfies -8x + 125 = -10(x + 93)?", "solution_steps": ["Expand: -8x + 125 = -10x - 930", "Add 10x to both sides: 2x + 125 = -930", "Subtract 125 from both sides: 2x = -1055", "Divide both sides by 2: x = -1055/2"], "final_answer": "-1055/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x + 125 = -10(x + 93)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 125, \"c\": -10, \"d\": 93}", "seed": "344088301120518082", "semantic_fingerprint": "sha256:aadcadb73caa3f7a9ec0aa76714d732af4260f69e3a413b6cce212998f731531", "generator_version": "3.0"}
{"id": "v3_val_00000672", "prompt": "Calculate: -55 * 45 - (851 - 67)", "solution_steps": ["Multiply: -55 * 45 = -2475", "Subtract: 851 - 67 = 784", "Subtract: -2475 - 784 = -3259"], "final_answer": "-3259", "answer_type": "integer", "kind": "expression", "math_text": "-55 * 45 - (851 - 67)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 45, \"c\": 851, \"d\": 67}", "seed": "447902802703312997", "semantic_fingerprint": "sha256:013d1feff7647f514d22836434b9e975945b6cedc63088aaabafe5043b8e21e1", "generator_version": "3.0"}
{"id": "v3_val_00000673", "prompt": "Solve the equation -2x = -10(x - 169) - 35 for x.", "solution_steps": ["Expand: -2x = -10x + 1690 - 35", "Combine constants: -2x = -10x + 1655", "Add 10x to both sides: 8x = 1655", "Divide both sides by 8: x = 1655/8"], "final_answer": "1655/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x = -10(x - 169) - 35", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -10, \"c\": 169, \"d\": 35}", "seed": "13655052952908866401", "semantic_fingerprint": "sha256:14efbb22fb722785851789fcd85ed260cd2474001dc49b33840e2ae6f3011c43", "generator_version": "3.0"}
{"id": "v3_val_00000674", "prompt": "Solve the equation 5(x + 6) = x + 106 for x.", "solution_steps": ["Expand: 5x + 30 = x + 106", "Subtract x from both sides: 4x + 30 = 106", "Subtract 30 from both sides: 4x = 76", "Divide both sides by 4: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 6) = x + 106", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"d\": 106, \"x\": 19}", "seed": "11381143221728312832", "semantic_fingerprint": "sha256:fe3680bee378bda12a2ae6fb27178d885bfc7d41c52c933c65973946602f4e3f", "generator_version": "3.0"}
{"id": "v3_val_00000675", "prompt": "What value of x satisfies 3x + 4 = x + 12?", "solution_steps": ["Subtract x from both sides: 2x + 4 = 12", "Subtract 4 from both sides: 2x = 8", "Divide both sides by 2: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 4 = x + 12", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"d\": 12, \"x\": 4}", "seed": "14507954746753945728", "semantic_fingerprint": "sha256:07a60c6872fc6e6b51ddec02436796fa2720572b2894f587b130ecbbd240a30b", "generator_version": "3.0"}
{"id": "v3_val_00000676", "prompt": "What is -50 / (-47 * 535)?", "solution_steps": ["Multiply: -47 * 535 = -25145", "Divide: -50 / (-25145) = 10/5029"], "final_answer": "10/5029", "answer_type": "rational", "kind": "expression", "math_text": "-50 / (-47 * 535)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -47, \"c\": 535}", "seed": "15729654427014053878", "semantic_fingerprint": "sha256:004a316925f4c633e265512020be99f4ddde59faa46e3b220684dda7fe2fec5c", "generator_version": "3.0"}
{"id": "v3_val_00000677", "prompt": "What value of x satisfies 4x - 99 = 12x?", "solution_steps": ["Subtract 12x from both sides: -8x - 99 = 0", "Add 99 to both sides: -8x = 99", "Divide both sides by -8: x = -99/8"], "final_answer": "-99/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 99 = 12x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 99, \"c\": 12}", "seed": "14899784884494601969", "semantic_fingerprint": "sha256:b2269415167d65e9203a625fc8a414b76287f817e62735eae8d626bfbb9aed95", "generator_version": "3.0"}
{"id": "v3_val_00000678", "prompt": "Compute: -62 * (-7) + 9", "solution_steps": ["Multiply: -62 * (-7) = 434", "Add: 434 + 9 = 443"], "final_answer": "443", "answer_type": "integer", "kind": "expression", "math_text": "-62 * (-7) + 9", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -7, \"c\": 9}", "seed": "13168870995372820837", "semantic_fingerprint": "sha256:f479daa133be4bf0afdc5d4ca9616441594b0b45483addac72438eda15978dea", "generator_version": "3.0"}
{"id": "v3_val_00000679", "prompt": "Solve the equation 10(x + 45) - 13 = 317 for x.", "solution_steps": ["Expand: 10x + 450 - 13 = 317", "Combine constants: 10x + 437 = 317", "Subtract 437 from both sides: 10x = -120", "Divide both sides by 10: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 45) - 13 = 317", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 45, \"c\": 13, \"e\": 317, \"x\": -12}", "seed": "17897234322390967011", "semantic_fingerprint": "sha256:b8fb3021f18e8379e5b83c17f8a257a0ae5704fe727b9355542df68d30cbc5a9", "generator_version": "3.0"}
{"id": "v3_val_00000680", "prompt": "Evaluate: -72 - (-208 - (-704))", "solution_steps": ["Subtract: -208 - (-704) = 496", "Subtract: -72 - 496 = -568"], "final_answer": "-568", "answer_type": "integer", "kind": "expression", "math_text": "-72 - (-208 - (-704))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -208, \"c\": -704}", "seed": "681547528017498306", "semantic_fingerprint": "sha256:177a7324127e3d3901c15b612f698af31768d57cc0087d5af99b124de294e2a4", "generator_version": "3.0"}
{"id": "v3_val_00000681", "prompt": "Compute: -183 / (-1)", "solution_steps": ["Divide: -183 / (-1) = 183"], "final_answer": "183", "answer_type": "integer", "kind": "expression", "math_text": "-183 / (-1)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -183, \"b\": -1}", "seed": "3387449206647291212", "semantic_fingerprint": "sha256:bd8f85e40edbc2f6e2f88a834d408b19b4a04d5969e48a7dade643bad55ac2fd", "generator_version": "3.0"}
{"id": "v3_val_00000682", "prompt": "Compute: 95 * (89 / 566)", "solution_steps": ["Divide: 89 / 566 = 89/566", "Multiply: 95 * (89/566) = 8455/566"], "final_answer": "8455/566", "answer_type": "rational", "kind": "expression", "math_text": "95 * (89 / 566)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 89, \"c\": 566}", "seed": "17506719621283438166", "semantic_fingerprint": "sha256:459f266db9a3be01bdff97eb70518510c5b3c4fd1caa644bb01ca9c484b78949", "generator_version": "3.0"}
{"id": "v3_val_00000683", "prompt": "Solve for x: -10(x - 85) = 2(x - 31) + 768", "solution_steps": ["Expand: -10x + 850 = 2(x - 31) + 768", "Expand: -10x + 850 = 2x - 62 + 768", "Combine constants: -10x + 850 = 2x + 706", "Subtract 2x from both sides: -12x + 850 = 706", "Subtract 850 from both sides: -12x = -144", "Divide both sides by -12: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 85) = 2(x - 31) + 768", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 85, \"c\": 2, \"d\": 31, \"f\": 768, \"x\": 12}", "seed": "17620394390173201340", "semantic_fingerprint": "sha256:3e21525883b76381a4fabec169c1657db06eb1c5f10f23deb53fa275309690b0", "generator_version": "3.0"}
{"id": "v3_val_00000684", "prompt": "Calculate: -35 - 80 - (-185)", "solution_steps": ["Subtract: -35 - 80 = -115", "Subtract: -115 - (-185) = 70"], "final_answer": "70", "answer_type": "integer", "kind": "expression", "math_text": "-35 - 80 - (-185)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 80, \"c\": -185}", "seed": "1553629434386196502", "semantic_fingerprint": "sha256:ec314f77db4604a4348fe31441fc0270698ef39b9f2c00876987afbda21523ae", "generator_version": "3.0"}
{"id": "v3_val_00000685", "prompt": "Find x: x + 9 = -12x + 61", "solution_steps": ["Add 12x to both sides: 13x + 9 = 61", "Subtract 9 from both sides: 13x = 52", "Divide both sides by 13: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9 = -12x + 61", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -12, \"d\": 61, \"x\": 4}", "seed": "2174324260734177993", "semantic_fingerprint": "sha256:a4db4d0cf14a24534df7276696828034dc7a5a27b5ffb9c7f9b8dc97101d485c", "generator_version": "3.0"}
{"id": "v3_val_00000686", "prompt": "Find x: 5x = 4x + 20", "solution_steps": ["Subtract 4x from both sides: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 4x + 20", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"d\": 20, \"x\": 20}", "seed": "6211442735915370119", "semantic_fingerprint": "sha256:69c49a0d3ba061d1580f0ecfda2f925e851c833777eaa6f7a34f8e2ed4986422", "generator_version": "3.0"}
{"id": "v3_val_00000687", "prompt": "Evaluate: 345 - (-20 + 28) - 38", "solution_steps": ["Add: -20 + 28 = 8", "Subtract: 345 - 8 = 337", "Subtract: 337 - 38 = 299"], "final_answer": "299", "answer_type": "integer", "kind": "expression", "math_text": "345 - (-20 + 28) - 38", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 345, \"b\": -20, \"c\": 28, \"d\": 38}", "seed": "15423738157776671363", "semantic_fingerprint": "sha256:a9b92064c6c15ecc4308e55c18eab42d23c02f1b2ea03e9939d2387847876953", "generator_version": "3.0"}
{"id": "v3_val_00000688", "prompt": "Calculate: (39 - (-39)) / (-4 + (-24))", "solution_steps": ["Subtract: 39 - (-39) = 78", "Add: -4 + (-24) = -28", "Divide: 78 / (-28) = -39/14"], "final_answer": "-39/14", "answer_type": "rational", "kind": "expression", "math_text": "(39 - (-39)) / (-4 + (-24))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -39, \"c\": -4, \"d\": -24}", "seed": "6918854997948088234", "semantic_fingerprint": "sha256:f0cec6328c5c6e4c8fd86b2e8e105a51e0717ab43c06f9d0e294673b2d673b6b", "generator_version": "3.0"}
{"id": "v3_val_00000689", "prompt": "Compute: 227 / (-4 * (-70) - (-63 + (-93)))", "solution_steps": ["Multiply: -4 * (-70) = 280", "Add: -63 + (-93) = -156", "Subtract: 280 - (-156) = 436", "Divide: 227 / 436 = 227/436"], "final_answer": "227/436", "answer_type": "rational", "kind": "expression", "math_text": "227 / (-4 * (-70) - (-63 + (-93)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 227, \"b\": -4, \"c\": -70, \"d\": -63, \"e\": -93}", "seed": "3574365227856911950", "semantic_fingerprint": "sha256:54690fc06b34d7829d2b7cff271e153eaa1fb1bef8439f33843aba4f18590f1f", "generator_version": "3.0"}
{"id": "v3_val_00000690", "prompt": "Compute: (2 * (-15) + (-9) - 708) / (965 + (-96))", "solution_steps": ["Multiply: 2 * (-15) = -30", "Add: -30 + (-9) = -39", "Subtract: -39 - 708 = -747", "Add: 965 + (-96) = 869", "Divide: -747 / 869 = -747/869"], "final_answer": "-747/869", "answer_type": "rational", "kind": "expression", "math_text": "(2 * (-15) + (-9) - 708) / (965 + (-96))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ (* n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -15, \"c\": -9, \"d\": 708, \"e\": 965, \"f\": -96}", "seed": "13354821865837986899", "semantic_fingerprint": "sha256:8db4b57f4700c20e8178b7c12a70614ebc13bf9a74c581c596a19447da8a4d4c", "generator_version": "3.0"}
{"id": "v3_val_00000691", "prompt": "Calculate: -6 + (-795) * (-1)", "solution_steps": ["Multiply: -795 * (-1) = 795", "Add: -6 + 795 = 789"], "final_answer": "789", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-795) * (-1)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -795, \"c\": -1}", "seed": "1883882759610527458", "semantic_fingerprint": "sha256:6bda589526f26a7af5303de16e7a6a91a411809cf279ef1db757ee009579e038", "generator_version": "3.0"}
{"id": "v3_val_00000692", "prompt": "Solve the equation -10x = 8x - 87 for x.", "solution_steps": ["Subtract 8x from both sides: -18x = -87", "Divide both sides by -18: x = 29/6"], "final_answer": "29/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x = 8x - 87", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 8, \"c\": 87}", "seed": "8933256949381532832", "semantic_fingerprint": "sha256:9f4c72c4b741f31fcba6fe00cab01ba842baa00bfc98fec6706e7e855f1770b2", "generator_version": "3.0"}
{"id": "v3_val_00000693", "prompt": "Solve for x: -11x - 980 = 3(x - 86) - 750", "solution_steps": ["Expand: -11x - 980 = 3x - 258 - 750", "Combine constants: -11x - 980 = 3x - 1008", "Subtract 3x from both sides: -14x - 980 = -1008", "Add 980 to both sides: -14x = -28", "Divide both sides by -14: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 980 = 3(x - 86) - 750", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 980, \"c\": 3, \"d\": 86, \"f\": -750, \"x\": 2}", "seed": "4979779302993020259", "semantic_fingerprint": "sha256:61fa36098fb63d25391c4f45c2b53201f9d93c3362794491bc9004950052e371", "generator_version": "3.0"}
{"id": "v3_val_00000694", "prompt": "Evaluate: -51 * 70", "solution_steps": ["Multiply: -51 * 70 = -3570"], "final_answer": "-3570", "answer_type": "integer", "kind": "expression", "math_text": "-51 * 70", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 70}", "seed": "7244003888634229596", "semantic_fingerprint": "sha256:09771ecddb3e9106dd7b997d5c400fcca76361f15115eb4ad24449ef91c7f59b", "generator_version": "3.0"}
{"id": "v3_val_00000695", "prompt": "Compute: 71 / (-3 * 6)", "solution_steps": ["Multiply: -3 * 6 = -18", "Divide: 71 / (-18) = -71/18"], "final_answer": "-71/18", "answer_type": "rational", "kind": "expression", "math_text": "71 / (-3 * 6)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -3, \"c\": 6}", "seed": "12426347906912654873", "semantic_fingerprint": "sha256:d4733ec0a251826f680596a1a46f9f10f17d65e480e34b60455e0518367a9def", "generator_version": "3.0"}
{"id": "v3_val_00000696", "prompt": "Solve for x: x - 20 = -9(x + 160) + 57", "solution_steps": ["Expand: x - 20 = -9x - 1440 + 57", "Combine constants: x - 20 = -9x - 1383", "Add 9x to both sides: 10x - 20 = -1383", "Add 20 to both sides: 10x = -1363", "Divide both sides by 10: x = -1363/10"], "final_answer": "-1363/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 20 = -9(x + 160) + 57", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": -9, \"c\": 160, \"d\": 57}", "seed": "2205626410106611470", "semantic_fingerprint": "sha256:71dd3778c72d1eea56e93c6d2f25a570e650a254ab856c617ded080ea2d6b7ff", "generator_version": "3.0"}
{"id": "v3_val_00000697", "prompt": "Calculate: 696 / 22 + (9 - 881 + (355 - (-1)))", "solution_steps": ["Divide: 696 / 22 = 348/11", "Subtract: 9 - 881 = -872", "Subtract: 355 - (-1) = 356", "Add: -872 + 356 = -516", "Add: 348/11 + (-516) = -5328/11"], "final_answer": "-5328/11", "answer_type": "rational", "kind": "expression", "math_text": "696 / 22 + (9 - 881 + (355 - (-1)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 696, \"b\": 22, \"c\": 9, \"d\": 881, \"e\": 355, \"f\": -1}", "seed": "7522192493669106853", "semantic_fingerprint": "sha256:dbe29a7c42985d728f20e43ba138de116146f5ad1379c0e3cf40aee2a43d70b5", "generator_version": "3.0"}
{"id": "v3_val_00000698", "prompt": "Compute: -5 * (8 - 30) * 660", "solution_steps": ["Subtract: 8 - 30 = -22", "Multiply: -5 * (-22) = 110", "Multiply: 110 * 660 = 72600"], "final_answer": "72600", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (8 - 30) * 660", "variable": null, "family": "expression_3op", "shape": "(* (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 8, \"c\": 30, \"d\": 660}", "seed": "2835736897294792223", "semantic_fingerprint": "sha256:a39dabf7b4d3221c90b3d9dec2a6a81853513ddc7ac9b3515912261e5a8f44b9", "generator_version": "3.0"}
{"id": "v3_val_00000699", "prompt": "Calculate: -8 + (-30) * (-14)", "solution_steps": ["Multiply: -30 * (-14) = 420", "Add: -8 + 420 = 412"], "final_answer": "412", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-30) * (-14)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -30, \"c\": -14}", "seed": "4736131626895843385", "semantic_fingerprint": "sha256:d8020430d817550c0f16cf8c21ec0118c49df6c2bad50374512452336f26b3d9", "generator_version": "3.0"}
{"id": "v3_val_00000700", "prompt": "Compute: -6 / 794", "solution_steps": ["Divide: -6 / 794 = -3/397"], "final_answer": "-3/397", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 794", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 794}", "seed": "2441061583608883969", "semantic_fingerprint": "sha256:3603ea33da1332b442f038e7ed66556dbbc8d08ef61db74419f0a7a7efb0e169", "generator_version": "3.0"}
{"id": "v3_val_00000701", "prompt": "What value of x satisfies 7x + 4 = 6(x - 524) + 35?", "solution_steps": ["Expand: 7x + 4 = 6x - 3144 + 35", "Combine constants: 7x + 4 = 6x - 3109", "Subtract 6x from both sides: x + 4 = -3109", "Subtract 4 from both sides: x = -3113"], "final_answer": "-3113", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 4 = 6(x - 524) + 35", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 6, \"d\": 524, \"e\": 35}", "seed": "9284264120522877528", "semantic_fingerprint": "sha256:a0d80d32fa75edbb66004193f4bfea2b05c1f112592250953990a6a7071e2fb4", "generator_version": "3.0"}
{"id": "v3_val_00000702", "prompt": "Compute: 99 - (0 + 227)", "solution_steps": ["Add: 0 + 227 = 227", "Subtract: 99 - 227 = -128"], "final_answer": "-128", "answer_type": "integer", "kind": "expression", "math_text": "99 - (0 + 227)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 0, \"c\": 227}", "seed": "9148053730839666696", "semantic_fingerprint": "sha256:14b10e72578b9d34e2a760afe8b4e211a8da2af59edc9bdb00a74a2de5cae2ed", "generator_version": "3.0"}
{"id": "v3_val_00000703", "prompt": "Compute: 6 / (-95) - 1 / (-84)", "solution_steps": ["Divide: 6 / (-95) = -6/95", "Divide: 1 / (-84) = -1/84", "Subtract: -6/95 - (-1/84) = -409/7980"], "final_answer": "-409/7980", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-95) - 1 / (-84)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -95, \"c\": 1, \"d\": -84}", "seed": "10057394253360187666", "semantic_fingerprint": "sha256:df315a837f04996c58ad4d9b00b5744b26a3ccb7ed214c5d6c64bc10a25638e8", "generator_version": "3.0"}
{"id": "v3_val_00000704", "prompt": "What value of x satisfies 3(x + 13) = 11x?", "solution_steps": ["Expand: 3x + 39 = 11x", "Subtract 11x from both sides: -8x + 39 = 0", "Subtract 39 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": "3(x + 13) = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 13, \"c\": 11}", "seed": "12158603700446287112", "semantic_fingerprint": "sha256:b52b3838430dafd6f23803e97ab8fb22896660bcda9122bc0b2be9d61fb4436a", "generator_version": "3.0"}
{"id": "v3_val_00000705", "prompt": "What value of x satisfies -12(x + 83) = 11x?", "solution_steps": ["Expand: -12x - 996 = 11x", "Subtract 11x from both sides: -23x - 996 = 0", "Add 996 to both sides: -23x = 996", "Divide both sides by -23: x = -996/23"], "final_answer": "-996/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 83) = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 83, \"c\": 11}", "seed": "2639126897902101034", "semantic_fingerprint": "sha256:6332b5e373314f557587d235bad8971102c5fd9fd3e89ffb800c14417f7e5553", "generator_version": "3.0"}
{"id": "v3_val_00000706", "prompt": "Calculate: -49 / ((-57 - (-83)) * 247)", "solution_steps": ["Subtract: -57 - (-83) = 26", "Multiply: 26 * 247 = 6422", "Divide: -49 / 6422 = -49/6422"], "final_answer": "-49/6422", "answer_type": "rational", "kind": "expression", "math_text": "-49 / ((-57 - (-83)) * 247)", "variable": null, "family": "expression_3op", "shape": "(/ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -57, \"c\": -83, \"d\": 247}", "seed": "11188729232828209225", "semantic_fingerprint": "sha256:5daa0f26aadca257d8c1759f6c380d25933e4872738e4361bcb9e4fa2afcebb7", "generator_version": "3.0"}
{"id": "v3_val_00000707", "prompt": "What value of x satisfies 12x = -6x + 3?", "solution_steps": ["Add 6x to both sides: 18x = 3", "Divide both sides by 18: x = 1/6"], "final_answer": "1/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = -6x + 3", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -6, \"c\": 3}", "seed": "9910517850411162889", "semantic_fingerprint": "sha256:1e37d6855193d03fad4a504bda7e9b3f97c2b09696a008561338dc9450a551e1", "generator_version": "3.0"}
{"id": "v3_val_00000708", "prompt": "Compute: 0 - (348 - (-458)) - (-4) / 84", "solution_steps": ["Subtract: 348 - (-458) = 806", "Subtract: 0 - 806 = -806", "Divide: -4 / 84 = -1/21", "Subtract: -806 - (-1/21) = -16925/21"], "final_answer": "-16925/21", "answer_type": "rational", "kind": "expression", "math_text": "0 - (348 - (-458)) - (-4) / 84", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 348, \"c\": -458, \"d\": -4, \"e\": 84}", "seed": "9020665792446383190", "semantic_fingerprint": "sha256:b549b79ca3928268cb7516415780952d6dc9a7ad53250b68363c0e3f99d357fb", "generator_version": "3.0"}
{"id": "v3_val_00000709", "prompt": "Evaluate: (-432 - (-4)) / (160 / (-7)) - 36 - 33", "solution_steps": ["Subtract: -432 - (-4) = -428", "Divide: 160 / (-7) = -160/7", "Divide: -428 / (-160/7) = 749/40", "Subtract: 749/40 - 36 = -691/40", "Subtract: -691/40 - 33 = -2011/40"], "final_answer": "-2011/40", "answer_type": "rational", "kind": "expression", "math_text": "(-432 - (-4)) / (160 / (-7)) - 36 - 33", "variable": null, "family": "expression_5op", "shape": "(- (- (/ (- n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -432, \"b\": -4, \"c\": 160, \"d\": -7, \"e\": 36, \"f\": 33}", "seed": "3651098873726959642", "semantic_fingerprint": "sha256:678a1fd7e6f88bf57cca1aa4b90a752e203abe89e0a5858e33104feead67f54e", "generator_version": "3.0"}
{"id": "v3_val_00000710", "prompt": "Evaluate: -15 / (-7) - 5", "solution_steps": ["Divide: -15 / (-7) = 15/7", "Subtract: 15/7 - 5 = -20/7"], "final_answer": "-20/7", "answer_type": "rational", "kind": "expression", "math_text": "-15 / (-7) - 5", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -7, \"c\": 5}", "seed": "8806932467622899112", "semantic_fingerprint": "sha256:c494f6fcf972ed736ef9b624c28ef2f3651906e1c9ef795cadb1758a6e27eae1", "generator_version": "3.0"}
{"id": "v3_val_00000711", "prompt": "Solve for x: -10(x - 71) = x + 919", "solution_steps": ["Expand: -10x + 710 = x + 919", "Subtract x from both sides: -11x + 710 = 919", "Subtract 710 from both sides: -11x = 209", "Divide both sides by -11: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 71) = x + 919", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 71, \"d\": 919, \"x\": -19}", "seed": "13929893490503299115", "semantic_fingerprint": "sha256:3de14ad7c23b9447ce95f2972f23efbb0877685dded1de7fa2e4a9373dc2d74c", "generator_version": "3.0"}
{"id": "v3_val_00000712", "prompt": "Calculate: 11 + (-703) - (-99) / (-577)", "solution_steps": ["Add: 11 + (-703) = -692", "Divide: -99 / (-577) = 99/577", "Subtract: -692 - 99/577 = -399383/577"], "final_answer": "-399383/577", "answer_type": "rational", "kind": "expression", "math_text": "11 + (-703) - (-99) / (-577)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -703, \"c\": -99, \"d\": -577}", "seed": "4309810249805439040", "semantic_fingerprint": "sha256:06852b5b5208d1af53e4d2b8b3901599e840fb6aa6afd7a879d3b32fa8d868f8", "generator_version": "3.0"}
{"id": "v3_val_00000713", "prompt": "Evaluate: (-992 - 4) / ((-32 + 36) / (-46))", "solution_steps": ["Subtract: -992 - 4 = -996", "Add: -32 + 36 = 4", "Divide: 4 / (-46) = -2/23", "Divide: -996 / (-2/23) = 11454"], "final_answer": "11454", "answer_type": "integer", "kind": "expression", "math_text": "(-992 - 4) / ((-32 + 36) / (-46))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -992, \"b\": 4, \"c\": -32, \"d\": 36, \"e\": -46}", "seed": "14312246260749910700", "semantic_fingerprint": "sha256:ee96b51cf31b2823da20fc94750409c898ebab392436d3e4eb6ba047cb44fa0e", "generator_version": "3.0"}
{"id": "v3_val_00000714", "prompt": "What value of x satisfies 2(x + 57) - 900 = -9x?", "solution_steps": ["Expand: 2x + 114 - 900 = -9x", "Combine constants: 2x - 786 = -9x", "Add 9x to both sides: 11x - 786 = 0", "Add 786 to both sides: 11x = 786", "Divide both sides by 11: x = 786/11"], "final_answer": "786/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 57) - 900 = -9x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 57, \"c\": 900, \"d\": -9}", "seed": "13224067724699391207", "semantic_fingerprint": "sha256:253e771bc605fd387fd114873b5dfd2060fc6191682c999d6472f24d83e3821c", "generator_version": "3.0"}
{"id": "v3_val_00000715", "prompt": "Calculate: 30 - (703 - 46 * 27 / (-24))", "solution_steps": ["Multiply: 46 * 27 = 1242", "Divide: 1242 / (-24) = -207/4", "Subtract: 703 - (-207/4) = 3019/4", "Subtract: 30 - 3019/4 = -2899/4"], "final_answer": "-2899/4", "answer_type": "rational", "kind": "expression", "math_text": "30 - (703 - 46 * 27 / (-24))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (/ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 703, \"c\": 46, \"d\": 27, \"e\": -24}", "seed": "8724327582317885490", "semantic_fingerprint": "sha256:a0aee8bffc269c0b98f2a9cdbeead39e54d8b1950fe04c299631e3e1e10f9401", "generator_version": "3.0"}
{"id": "v3_val_00000716", "prompt": "Compute: 1 + (-18) - (323 - 833) * (-88) / (-87)", "solution_steps": ["Add: 1 + (-18) = -17", "Subtract: 323 - 833 = -510", "Multiply: -510 * (-88) = 44880", "Divide: 44880 / (-87) = -14960/29", "Subtract: -17 - (-14960/29) = 14467/29"], "final_answer": "14467/29", "answer_type": "rational", "kind": "expression", "math_text": "1 + (-18) - (323 - 833) * (-88) / (-87)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (/ (* (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -18, \"c\": 323, \"d\": 833, \"e\": -88, \"f\": -87}", "seed": "16716377215970995665", "semantic_fingerprint": "sha256:5f2fc2f4fea8ea2b9573b4f8ddabdca8e8c826de45f77fe3c94385bc0fa0c8cd", "generator_version": "3.0"}
{"id": "v3_val_00000717", "prompt": "What is 85 / (9 + 26)?", "solution_steps": ["Add: 9 + 26 = 35", "Divide: 85 / 35 = 17/7"], "final_answer": "17/7", "answer_type": "rational", "kind": "expression", "math_text": "85 / (9 + 26)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 9, \"c\": 26}", "seed": "12546294174243027005", "semantic_fingerprint": "sha256:a3500bdadcbbca3739c8a58286f3d9f604282fecc71925cc60412d8f48a41670", "generator_version": "3.0"}
{"id": "v3_val_00000718", "prompt": "Evaluate: -8 * (0 - 14)", "solution_steps": ["Subtract: 0 - 14 = -14", "Multiply: -8 * (-14) = 112"], "final_answer": "112", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (0 - 14)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0, \"c\": 14}", "seed": "3427101543749865950", "semantic_fingerprint": "sha256:691483b2ac3ab19d998f62ec2066f28af7293805b42681fb92dfa1deafa6557d", "generator_version": "3.0"}
{"id": "v3_val_00000719", "prompt": "Solve the equation x = 4x + 8 for x.", "solution_steps": ["Subtract 4x from both sides: -3x = 8", "Divide both sides by -3: x = -8/3"], "final_answer": "-8/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 4x + 8", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8}", "seed": "10889665744561872902", "semantic_fingerprint": "sha256:d65dbedeb9534ca865dcac9262380e5222d39babc6ef9f398acb5d4bd140d024", "generator_version": "3.0"}
{"id": "v3_val_00000720", "prompt": "Compute: 63 - (56 - (-6))", "solution_steps": ["Subtract: 56 - (-6) = 62", "Subtract: 63 - 62 = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "63 - (56 - (-6))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 56, \"c\": -6}", "seed": "6607193361646679631", "semantic_fingerprint": "sha256:15dfe38aec8504040a77ca51db2df9e3db704c7e77c8302c6eb30d34a46419ac", "generator_version": "3.0"}
{"id": "v3_val_00000721", "prompt": "Compute: -39 + 53 + (-17) * (-86) + (724 - 8)", "solution_steps": ["Add: -39 + 53 = 14", "Multiply: -17 * (-86) = 1462", "Add: 14 + 1462 = 1476", "Subtract: 724 - 8 = 716", "Add: 1476 + 716 = 2192"], "final_answer": "2192", "answer_type": "integer", "kind": "expression", "math_text": "-39 + 53 + (-17) * (-86) + (724 - 8)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) (* n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 53, \"c\": -17, \"d\": -86, \"e\": 724, \"f\": 8}", "seed": "9313698182583970105", "semantic_fingerprint": "sha256:9e4d9714ea2a300f27ded6d9c106ab5579cf73b73b39ba43b6b2a143494ff1e3", "generator_version": "3.0"}
{"id": "v3_val_00000722", "prompt": "What is -6 - (-2) + 0 * (-28)?", "solution_steps": ["Subtract: -6 - (-2) = -4", "Multiply: 0 * (-28) = 0", "Add: -4 + 0 = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-2) + 0 * (-28)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -2, \"c\": 0, \"d\": -28}", "seed": "10208297734724209165", "semantic_fingerprint": "sha256:e5df5c4a77260d05b266f01e0fee51538a15073edb673a260c940ac5ebbf8960", "generator_version": "3.0"}
{"id": "v3_val_00000723", "prompt": "Evaluate: 2 / (-7) + 6 * (-76)", "solution_steps": ["Divide: 2 / (-7) = -2/7", "Multiply: 6 * (-76) = -456", "Add: -2/7 + (-456) = -3194/7"], "final_answer": "-3194/7", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-7) + 6 * (-76)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -7, \"c\": 6, \"d\": -76}", "seed": "6856333941561581967", "semantic_fingerprint": "sha256:2d5a6c3d9f693863a8b554b78c4556cdc054ca1c94556c14a4a24890a80a352f", "generator_version": "3.0"}
{"id": "v3_val_00000724", "prompt": "Find x: -7(x - 88) + 74 = 12x - 22", "solution_steps": ["Expand: -7x + 616 + 74 = 12x - 22", "Combine constants: -7x + 690 = 12x - 22", "Subtract 12x from both sides: -19x + 690 = -22", "Subtract 690 from both sides: -19x = -712", "Divide both sides by -19: x = 712/19"], "final_answer": "712/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 88) + 74 = 12x - 22", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 88, \"c\": 74, \"d\": 12, \"e\": 22}", "seed": "9518969139449160637", "semantic_fingerprint": "sha256:1a8e489c1594adb34da206a012e5ffed6af61b0b346ed0266f642873206bb368", "generator_version": "3.0"}
{"id": "v3_val_00000725", "prompt": "Evaluate: -7 / 231 / (99 * 2)", "solution_steps": ["Divide: -7 / 231 = -1/33", "Multiply: 99 * 2 = 198", "Divide: (-1/33) / 198 = -1/6534"], "final_answer": "-1/6534", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 231 / (99 * 2)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 231, \"c\": 99, \"d\": 2}", "seed": "3065865591173237319", "semantic_fingerprint": "sha256:46cdc8420eb36579452bd1e16a22e4f2967a2dd07c866aea88cf7462658ebcf0", "generator_version": "3.0"}
{"id": "v3_val_00000726", "prompt": "Find x: 3x + 71 = 5(x + 65) - 224", "solution_steps": ["Expand: 3x + 71 = 5x + 325 - 224", "Combine constants: 3x + 71 = 5x + 101", "Subtract 5x from both sides: -2x + 71 = 101", "Subtract 71 from both sides: -2x = 30", "Divide both sides by -2: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 71 = 5(x + 65) - 224", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 71, \"c\": 5, \"d\": 65, \"f\": -224, \"x\": -15}", "seed": "11456611831158197988", "semantic_fingerprint": "sha256:2b21669014eb2c21cee676696510f336fb357bf083c9001d9b08d5354092ddb0", "generator_version": "3.0"}
{"id": "v3_val_00000727", "prompt": "What is (-51 + (5 + (-1))) / (3 * (-9 * 9))?", "solution_steps": ["Add: 5 + (-1) = 4", "Add: -51 + 4 = -47", "Multiply: -9 * 9 = -81", "Multiply: 3 * (-81) = -243", "Divide: -47 / (-243) = 47/243"], "final_answer": "47/243", "answer_type": "rational", "kind": "expression", "math_text": "(-51 + (5 + (-1))) / (3 * (-9 * 9))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ n n)) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 5, \"c\": -1, \"d\": 3, \"e\": -9, \"f\": 9}", "seed": "13512635236868116154", "semantic_fingerprint": "sha256:f6c41cc1e74cf4a84554b120bd3219353821f4ba8585fd6644d096877d5b14e8", "generator_version": "3.0"}
{"id": "v3_val_00000728", "prompt": "Evaluate: -5 - 77 + (-53 + (-16) / (-877 * 20))", "solution_steps": ["Subtract: -5 - 77 = -82", "Multiply: -877 * 20 = -17540", "Divide: -16 / (-17540) = 4/4385", "Add: -53 + 4/4385 = -232401/4385", "Add: -82 + (-232401/4385) = -591971/4385"], "final_answer": "-591971/4385", "answer_type": "rational", "kind": "expression", "math_text": "-5 - 77 + (-53 + (-16) / (-877 * 20))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ n (/ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 77, \"c\": -53, \"d\": -16, \"e\": -877, \"f\": 20}", "seed": "15185778103743922773", "semantic_fingerprint": "sha256:e8119579677d8408baa2d0d47050196f6ade4b57dee7a06b17e0ac5252fb8de7", "generator_version": "3.0"}
{"id": "v3_val_00000729", "prompt": "Compute: -180 - 67 * (-8)", "solution_steps": ["Multiply: 67 * (-8) = -536", "Subtract: -180 - (-536) = 356"], "final_answer": "356", "answer_type": "integer", "kind": "expression", "math_text": "-180 - 67 * (-8)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -180, \"b\": 67, \"c\": -8}", "seed": "9037540593311877268", "semantic_fingerprint": "sha256:742ffba9f7382195f3a72b76017edb6dff79f2ca0138a1f4cbf2367de8973607", "generator_version": "3.0"}
{"id": "v3_val_00000730", "prompt": "Compute: 1 / (-4) * (-38 * (-3 / (211 - 25)))", "solution_steps": ["Divide: 1 / (-4) = -1/4", "Subtract: 211 - 25 = 186", "Divide: -3 / 186 = -1/62", "Multiply: -38 * (-1/62) = 19/31", "Multiply: (-1/4) * (19/31) = -19/124"], "final_answer": "-19/124", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-4) * (-38 * (-3 / (211 - 25)))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (* n (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -4, \"c\": -38, \"d\": -3, \"e\": 211, \"f\": 25}", "seed": "10577807552332656198", "semantic_fingerprint": "sha256:9814419652f1b752932fdb99ac1097cc10706b9fb200b862746853bfd3ee2d98", "generator_version": "3.0"}
{"id": "v3_val_00000731", "prompt": "Compute: (-413 - 0) / (-3)", "solution_steps": ["Subtract: -413 - 0 = -413", "Divide: -413 / (-3) = 413/3"], "final_answer": "413/3", "answer_type": "rational", "kind": "expression", "math_text": "(-413 - 0) / (-3)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -413, \"b\": 0, \"c\": -3}", "seed": "8385797058937674329", "semantic_fingerprint": "sha256:b841d5b5995b6d1854a1290e5ac783b5c5e751140fcc16ece0cf583e98f87823", "generator_version": "3.0"}
{"id": "v3_val_00000732", "prompt": "Evaluate: 1 + (-462) - (-3 + 65) / 40", "solution_steps": ["Add: 1 + (-462) = -461", "Add: -3 + 65 = 62", "Divide: 62 / 40 = 31/20", "Subtract: -461 - 31/20 = -9251/20"], "final_answer": "-9251/20", "answer_type": "rational", "kind": "expression", "math_text": "1 + (-462) - (-3 + 65) / 40", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -462, \"c\": -3, \"d\": 65, \"e\": 40}", "seed": "18338858808038709113", "semantic_fingerprint": "sha256:b2bfaa0dafa8aa722907d9226daef30d68227e88c396c511f03bb0e8b9257ecc", "generator_version": "3.0"}
{"id": "v3_val_00000733", "prompt": "What value of x satisfies x = 12(x + 865) - 12?", "solution_steps": ["Expand: x = 12x + 10380 - 12", "Combine constants: x = 12x + 10368", "Subtract 12x from both sides: -11x = 10368", "Divide both sides by -11: x = -10368/11"], "final_answer": "-10368/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12(x + 865) - 12", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 865, \"c\": 12}", "seed": "6174681819087049197", "semantic_fingerprint": "sha256:c18e2a722eb42335f1ccc047bc59be36deb00b595958aca4d61be58d72cf5131", "generator_version": "3.0"}
{"id": "v3_val_00000734", "prompt": "What value of x satisfies 6(x - 1) = -12x?", "solution_steps": ["Expand: 6x - 6 = -12x", "Add 12x to both sides: 18x - 6 = 0", "Add 6 to both sides: 18x = 6", "Divide both sides by 18: x = 1/3"], "final_answer": "1/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 1) = -12x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": -12}", "seed": "8123728947170360650", "semantic_fingerprint": "sha256:773bd2502dec731280ddbe49a81c0eed4084d321bd3bfd881d2fda7337e4f9bb", "generator_version": "3.0"}
{"id": "v3_val_00000735", "prompt": "Evaluate: 80 / (-18) / (-588 / (-70))", "solution_steps": ["Divide: 80 / (-18) = -40/9", "Divide: -588 / (-70) = 42/5", "Divide: (-40/9) / (42/5) = -100/189"], "final_answer": "-100/189", "answer_type": "rational", "kind": "expression", "math_text": "80 / (-18) / (-588 / (-70))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -18, \"c\": -588, \"d\": -70}", "seed": "15955072129832814131", "semantic_fingerprint": "sha256:4bd88f78cf23eaa423871e8a889dd594800bec420b912ef8ce37fbfbebe53e81", "generator_version": "3.0"}
{"id": "v3_val_00000736", "prompt": "Evaluate: 7 + (-98) - 72", "solution_steps": ["Add: 7 + (-98) = -91", "Subtract: -91 - 72 = -163"], "final_answer": "-163", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-98) - 72", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -98, \"c\": 72}", "seed": "10506702490447751747", "semantic_fingerprint": "sha256:c7eb8627e2cfdd8f4c90ebfa0b03a5e41926a6cfa1f4a763c69de5a328e58b65", "generator_version": "3.0"}
{"id": "v3_val_00000737", "prompt": "Evaluate: -13 + 71 / (-2) - (-3)", "solution_steps": ["Divide: 71 / (-2) = -71/2", "Add: -13 + (-71/2) = -97/2", "Subtract: -97/2 - (-3) = -91/2"], "final_answer": "-91/2", "answer_type": "rational", "kind": "expression", "math_text": "-13 + 71 / (-2) - (-3)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 71, \"c\": -2, \"d\": -3}", "seed": "448011402987027153", "semantic_fingerprint": "sha256:98b94b87917a318502079a3c4a43b53f0453fc9c4245f6c11a67c8384e4c7ef1", "generator_version": "3.0"}
{"id": "v3_val_00000738", "prompt": "Calculate: -5 * 2 / (30 / (-8))", "solution_steps": ["Multiply: -5 * 2 = -10", "Divide: 30 / (-8) = -15/4", "Divide: -10 / (-15/4) = 8/3"], "final_answer": "8/3", "answer_type": "rational", "kind": "expression", "math_text": "-5 * 2 / (30 / (-8))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 30, \"d\": -8}", "seed": "11531872188583482468", "semantic_fingerprint": "sha256:4570e3a35ad1e35931d1b5866c14a5fd56c420a4e7666abe6a802b5e594a4564", "generator_version": "3.0"}
{"id": "v3_val_00000739", "prompt": "Find x: 7x = 10x + 57", "solution_steps": ["Subtract 10x from both sides: -3x = 57", "Divide both sides by -3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 10x + 57", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 57}", "seed": "6886215557957769290", "semantic_fingerprint": "sha256:b9861cc6c15310a2174ef4c7c71a3e659a99471f82137342a5547777a50dafb3", "generator_version": "3.0"}
{"id": "v3_val_00000740", "prompt": "Solve the equation x + 97 = 8(x + 2) + 67 for x.", "solution_steps": ["Expand: x + 97 = 8x + 16 + 67", "Combine constants: x + 97 = 8x + 83", "Subtract 8x from both sides: -7x + 97 = 83", "Subtract 97 from both sides: -7x = -14", "Divide both sides by -7: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 97 = 8(x + 2) + 67", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 8, \"c\": 2, \"e\": 67, \"x\": 2}", "seed": "393821613263358944", "semantic_fingerprint": "sha256:2fe8fa5f4c43b87794c814049e140f52215f6393b147cbddc2986affd9addd09", "generator_version": "3.0"}
{"id": "v3_val_00000741", "prompt": "Evaluate: 4 - 92 - 6", "solution_steps": ["Subtract: 4 - 92 = -88", "Subtract: -88 - 6 = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "expression", "math_text": "4 - 92 - 6", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 92, \"c\": 6}", "seed": "1491248763736242163", "semantic_fingerprint": "sha256:96319dfca1adfae7d04e7cf714bc6242d2609ae4c07dfe8c4d03a43ab0e7fe9b", "generator_version": "3.0"}
{"id": "v3_val_00000742", "prompt": "Calculate: -1 + (-34 - (-22))", "solution_steps": ["Subtract: -34 - (-22) = -12", "Add: -1 + (-12) = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-34 - (-22))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -34, \"c\": -22}", "seed": "10091042308403677068", "semantic_fingerprint": "sha256:7a6248a8db28d7a7435fcbc0e0662f4a89f3dd17878f72a04bf66c64582c8259", "generator_version": "3.0"}
{"id": "v3_val_00000743", "prompt": "Compute: (-38 - (-277) - (4 + (-523))) * 131 / 1", "solution_steps": ["Subtract: -38 - (-277) = 239", "Add: 4 + (-523) = -519", "Subtract: 239 - (-519) = 758", "Multiply: 758 * 131 = 99298", "Divide: 99298 / 1 = 99298"], "final_answer": "99298", "answer_type": "integer", "kind": "expression", "math_text": "(-38 - (-277) - (4 + (-523))) * 131 / 1", "variable": null, "family": "expression_5op", "shape": "(/ (* (- (- n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -277, \"c\": 4, \"d\": -523, \"e\": 131, \"f\": 1}", "seed": "1239018045045965726", "semantic_fingerprint": "sha256:aa478e91a44563cb8d2a46571c3af0535e6799bdea114e3b15e7f83aaf50c328", "generator_version": "3.0"}
{"id": "v3_val_00000744", "prompt": "What is 76 / 45?", "solution_steps": ["Divide: 76 / 45 = 76/45"], "final_answer": "76/45", "answer_type": "rational", "kind": "expression", "math_text": "76 / 45", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 45}", "seed": "9035846410006406373", "semantic_fingerprint": "sha256:4680f68a589c490d61ce00fa92ed8235b14678232c9476be1ebf3629ca00ab5b", "generator_version": "3.0"}
{"id": "v3_val_00000745", "prompt": "What value of x satisfies 7x - 76 = -12(x - 15) - 4?", "solution_steps": ["Expand: 7x - 76 = -12x + 180 - 4", "Combine constants: 7x - 76 = -12x + 176", "Add 12x to both sides: 19x - 76 = 176", "Add 76 to both sides: 19x = 252", "Divide both sides by 19: x = 252/19"], "final_answer": "252/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 76 = -12(x - 15) - 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 76, \"c\": -12, \"d\": 15, \"e\": 4}", "seed": "16997292934415750358", "semantic_fingerprint": "sha256:ca820f5149f6b360e123eaec853bf528bb4eca018c5c886dbc6b220a03133050", "generator_version": "3.0"}
{"id": "v3_val_00000746", "prompt": "Calculate: -70 - 60", "solution_steps": ["Subtract: -70 - 60 = -130"], "final_answer": "-130", "answer_type": "integer", "kind": "expression", "math_text": "-70 - 60", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 60}", "seed": "16461375589222679859", "semantic_fingerprint": "sha256:3eb06fdff5b64e49e77f03cbf1de3a498cd767e4737b2a37492e105e391e3a12", "generator_version": "3.0"}
{"id": "v3_val_00000747", "prompt": "Calculate: (-86 / (-88) - (-33 - (50 + 93))) / 715", "solution_steps": ["Divide: -86 / (-88) = 43/44", "Add: 50 + 93 = 143", "Subtract: -33 - 143 = -176", "Subtract: 43/44 - (-176) = 7787/44", "Divide: (7787/44) / 715 = 599/2420"], "final_answer": "599/2420", "answer_type": "rational", "kind": "expression", "math_text": "(-86 / (-88) - (-33 - (50 + 93))) / 715", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -88, \"c\": -33, \"d\": 50, \"e\": 93, \"f\": 715}", "seed": "8781526273829914168", "semantic_fingerprint": "sha256:28c23464c120869ae3d12c0dd9791ebf9607d60d87fe7350feacf9ce0780f12c", "generator_version": "3.0"}
{"id": "v3_val_00000748", "prompt": "Evaluate: 6 - (-9) + 162", "solution_steps": ["Subtract: 6 - (-9) = 15", "Add: 15 + 162 = 177"], "final_answer": "177", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-9) + 162", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -9, \"c\": 162}", "seed": "8124791671826187460", "semantic_fingerprint": "sha256:7ab28f85d85e8502022bbf0278f45bc581bdee41b0c35b8752b45d15834597b2", "generator_version": "3.0"}
{"id": "v3_val_00000749", "prompt": "Compute: 5 * (-7 - (-1)) * (-64) + 890 / 70", "solution_steps": ["Subtract: -7 - (-1) = -6", "Multiply: 5 * (-6) = -30", "Multiply: -30 * (-64) = 1920", "Divide: 890 / 70 = 89/7", "Add: 1920 + 89/7 = 13529/7"], "final_answer": "13529/7", "answer_type": "rational", "kind": "expression", "math_text": "5 * (-7 - (-1)) * (-64) + 890 / 70", "variable": null, "family": "expression_5op", "shape": "(+ (* (* n (- n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -7, \"c\": -1, \"d\": -64, \"e\": 890, \"f\": 70}", "seed": "5983798046343899843", "semantic_fingerprint": "sha256:819d0e04b807355f17ba0eb525907f9d601ce96d4a6cb4c9214b77780667b7c9", "generator_version": "3.0"}
{"id": "v3_val_00000750", "prompt": "Compute: -193 - (-69)", "solution_steps": ["Subtract: -193 - (-69) = -124"], "final_answer": "-124", "answer_type": "integer", "kind": "expression", "math_text": "-193 - (-69)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -193, \"b\": -69}", "seed": "12737748786983597260", "semantic_fingerprint": "sha256:437079dd6afb3cc5b3a00dfcd313e7fd06a96e237df76a8976b008762a7d967c", "generator_version": "3.0"}
{"id": "v3_val_00000751", "prompt": "Find x: 11(x - 25) - 3 = x - 428", "solution_steps": ["Expand: 11x - 275 - 3 = x - 428", "Combine constants: 11x - 278 = x - 428", "Subtract x from both sides: 10x - 278 = -428", "Add 278 to both sides: 10x = -150", "Divide both sides by 10: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 25) - 3 = x - 428", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 25, \"c\": 3, \"e\": -428, \"x\": -15}", "seed": "11221329898579096767", "semantic_fingerprint": "sha256:afe0fe34386bb51b36291ad9c5e7bb658a98857c9b1990878b6e4524c88125c1", "generator_version": "3.0"}
{"id": "v3_val_00000752", "prompt": "Evaluate: 68 + (-84) - (-933) - (-812 - 9)", "solution_steps": ["Add: 68 + (-84) = -16", "Subtract: -16 - (-933) = 917", "Subtract: -812 - 9 = -821", "Subtract: 917 - (-821) = 1738"], "final_answer": "1738", "answer_type": "integer", "kind": "expression", "math_text": "68 + (-84) - (-933) - (-812 - 9)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -84, \"c\": -933, \"d\": -812, \"e\": 9}", "seed": "18186597602048525212", "semantic_fingerprint": "sha256:4f6f190c0105560a1fef51415a7e4333ecb36627f23cbfa499bcb2db27f50f13", "generator_version": "3.0"}
{"id": "v3_val_00000753", "prompt": "Solve for x: 9(x + 72) - 95 = -5x - 1", "solution_steps": ["Expand: 9x + 648 - 95 = -5x - 1", "Combine constants: 9x + 553 = -5x - 1", "Add 5x to both sides: 14x + 553 = -1", "Subtract 553 from both sides: 14x = -554", "Divide both sides by 14: x = -277/7"], "final_answer": "-277/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 72) - 95 = -5x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 72, \"c\": 95, \"d\": -5, \"e\": 1}", "seed": "7851441029376970483", "semantic_fingerprint": "sha256:33c31e7963e507dac3b028fd3f5299ab7c0ff5399b0767ad058631785ab6492d", "generator_version": "3.0"}
{"id": "v3_val_00000754", "prompt": "What value of x satisfies x - 111 = -10(x - 1)?", "solution_steps": ["Expand: x - 111 = -10x + 10", "Add 10x to both sides: 11x - 111 = 10", "Add 111 to both sides: 11x = 121", "Divide both sides by 11: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 111 = -10(x - 1)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1, \"d\": -111, \"x\": 11}", "seed": "14289918181440868989", "semantic_fingerprint": "sha256:5f0cd8b4d2c09566ef8975492a2b91f2dbb488f1e6d18a59c7217ff92db0ef96", "generator_version": "3.0"}
{"id": "v3_val_00000755", "prompt": "Calculate: 80 + (-440) - 664", "solution_steps": ["Add: 80 + (-440) = -360", "Subtract: -360 - 664 = -1024"], "final_answer": "-1024", "answer_type": "integer", "kind": "expression", "math_text": "80 + (-440) - 664", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -440, \"c\": 664}", "seed": "10442947307623218455", "semantic_fingerprint": "sha256:3e6cb4993a5fe1d1f86f2f44900b1daaf4a7b2cb2d4f2e0d21c220bb340f7d32", "generator_version": "3.0"}
{"id": "v3_val_00000756", "prompt": "What is (93 / 585 * (-8) - 8 / (-4)) * 737?", "solution_steps": ["Divide: 93 / 585 = 31/195", "Multiply: (31/195) * (-8) = -248/195", "Divide: 8 / (-4) = -2", "Subtract: -248/195 - (-2) = 142/195", "Multiply: (142/195) * 737 = 104654/195"], "final_answer": "104654/195", "answer_type": "rational", "kind": "expression", "math_text": "(93 / 585 * (-8) - 8 / (-4)) * 737", "variable": null, "family": "expression_5op", "shape": "(* (- (* (/ n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 585, \"c\": -8, \"d\": 8, \"e\": -4, \"f\": 737}", "seed": "4043971657421517634", "semantic_fingerprint": "sha256:79c0198e085c4505832e74b07fa9bfceef3e830b846d97cb4fc6387195ac5620", "generator_version": "3.0"}
{"id": "v3_val_00000757", "prompt": "Compute: 7 * ((-68 + (-79)) * (-256))", "solution_steps": ["Add: -68 + (-79) = -147", "Multiply: -147 * (-256) = 37632", "Multiply: 7 * 37632 = 263424"], "final_answer": "263424", "answer_type": "integer", "kind": "expression", "math_text": "7 * ((-68 + (-79)) * (-256))", "variable": null, "family": "expression_3op", "shape": "(* n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -68, \"c\": -79, \"d\": -256}", "seed": "17194419704758266807", "semantic_fingerprint": "sha256:3fed14b3c1677b6e23725834567a950eb1dd5a4713b3bab3082d0d050bd9f745", "generator_version": "3.0"}
{"id": "v3_val_00000758", "prompt": "Find x: x + 120 = 12(x - 26) + 597", "solution_steps": ["Expand: x + 120 = 12x - 312 + 597", "Combine constants: x + 120 = 12x + 285", "Subtract 12x from both sides: -11x + 120 = 285", "Subtract 120 from both sides: -11x = 165", "Divide both sides by -11: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 120 = 12(x - 26) + 597", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 120, \"b\": 12, \"c\": 26, \"e\": 597, \"x\": -15}", "seed": "1731896053766101327", "semantic_fingerprint": "sha256:5a719027323092a7e21fd4fab5f0fdc6f0c138d577fa6b428178bba7a199f111", "generator_version": "3.0"}
{"id": "v3_val_00000759", "prompt": "Calculate: 847 / 38 - (-5) * (815 / (-21))", "solution_steps": ["Divide: 847 / 38 = 847/38", "Divide: 815 / (-21) = -815/21", "Multiply: -5 * (-815/21) = 4075/21", "Subtract: 847/38 - 4075/21 = -137063/798"], "final_answer": "-137063/798", "answer_type": "rational", "kind": "expression", "math_text": "847 / 38 - (-5) * (815 / (-21))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 847, \"b\": 38, \"c\": -5, \"d\": 815, \"e\": -21}", "seed": "13710837522684589053", "semantic_fingerprint": "sha256:556cca093946cdb50e6203f21422716f8cde6ed191571ffbdeec570cd5aa718d", "generator_version": "3.0"}
{"id": "v3_val_00000760", "prompt": "What is -19 - (-240 + (-3))?", "solution_steps": ["Add: -240 + (-3) = -243", "Subtract: -19 - (-243) = 224"], "final_answer": "224", "answer_type": "integer", "kind": "expression", "math_text": "-19 - (-240 + (-3))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -240, \"c\": -3}", "seed": "5401009756264713299", "semantic_fingerprint": "sha256:cfd9e7b29fc2952b2fa4906c29c67c3eb255fdf4731a954449ed31273d8861d4", "generator_version": "3.0"}
{"id": "v3_val_00000761", "prompt": "Solve for x: 2(x - 68) = -12x + 455", "solution_steps": ["Expand: 2x - 136 = -12x + 455", "Add 12x to both sides: 14x - 136 = 455", "Add 136 to both sides: 14x = 591", "Divide both sides by 14: x = 591/14"], "final_answer": "591/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 68) = -12x + 455", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 68, \"c\": -12, \"d\": 455}", "seed": "16227140555504916238", "semantic_fingerprint": "sha256:dfca6454acf4d89846ea37c39251d88a56f25d630eb5574f0a81836daa8a722d", "generator_version": "3.0"}
{"id": "v3_val_00000762", "prompt": "Compute: 85 / (-75) * (-29)", "solution_steps": ["Divide: 85 / (-75) = -17/15", "Multiply: (-17/15) * (-29) = 493/15"], "final_answer": "493/15", "answer_type": "rational", "kind": "expression", "math_text": "85 / (-75) * (-29)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -75, \"c\": -29}", "seed": "16884363862910882888", "semantic_fingerprint": "sha256:53fa66a963606e14c3abe7a92cfb2ba413c0a05c94e4d96f9d520e2684080434", "generator_version": "3.0"}
{"id": "v3_val_00000763", "prompt": "What is (-24 + 5) / 14?", "solution_steps": ["Add: -24 + 5 = -19", "Divide: -19 / 14 = -19/14"], "final_answer": "-19/14", "answer_type": "rational", "kind": "expression", "math_text": "(-24 + 5) / 14", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 5, \"c\": 14}", "seed": "12131612068826472782", "semantic_fingerprint": "sha256:63b40fbd2c10c863a8fb3bb8888b2cc52e7a07ad423be75813ed715447994945", "generator_version": "3.0"}
{"id": "v3_val_00000764", "prompt": "Solve the equation -4(x + 98) = 9x + 7 for x.", "solution_steps": ["Expand: -4x - 392 = 9x + 7", "Subtract 9x from both sides: -13x - 392 = 7", "Add 392 to both sides: -13x = 399", "Divide both sides by -13: x = -399/13"], "final_answer": "-399/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 98) = 9x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 98, \"c\": 9, \"d\": 7}", "seed": "9588101747348839432", "semantic_fingerprint": "sha256:341fb562dc62dffa1d1c747a908ce9b5d9f2b32e23b74ff0e531ab7ca4d74c96", "generator_version": "3.0"}
{"id": "v3_val_00000765", "prompt": "Compute: (-426 * 3 + 4) / (-32)", "solution_steps": ["Multiply: -426 * 3 = -1278", "Add: -1278 + 4 = -1274", "Divide: -1274 / (-32) = 637/16"], "final_answer": "637/16", "answer_type": "rational", "kind": "expression", "math_text": "(-426 * 3 + 4) / (-32)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -426, \"b\": 3, \"c\": 4, \"d\": -32}", "seed": "13065312408919412255", "semantic_fingerprint": "sha256:2dc273ee7978884b8e89b880143430484b5081b385e9eb991ab65751c86b7347", "generator_version": "3.0"}
{"id": "v3_val_00000766", "prompt": "Find x: 6(x + 7) = x + 1", "solution_steps": ["Expand: 6x + 42 = x + 1", "Subtract x from both sides: 5x + 42 = 1", "Subtract 42 from both sides: 5x = -41", "Divide both sides by 5: x = -41/5"], "final_answer": "-41/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 7) = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 1}", "seed": "13671956383464214068", "semantic_fingerprint": "sha256:e47e24629b36bd3d4665d842b69eaee1f203ced294318b461d41abc7f2b4153f", "generator_version": "3.0"}
{"id": "v3_val_00000767", "prompt": "What is 93 / 1 + (515 + 5)?", "solution_steps": ["Divide: 93 / 1 = 93", "Add: 515 + 5 = 520", "Add: 93 + 520 = 613"], "final_answer": "613", "answer_type": "integer", "kind": "expression", "math_text": "93 / 1 + (515 + 5)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 1, \"c\": 515, \"d\": 5}", "seed": "18189414270983511531", "semantic_fingerprint": "sha256:6428cdaefacf0e9ecfa264967411937b66043676389a86242b3459abd3da451f", "generator_version": "3.0"}
{"id": "v3_val_00000768", "prompt": "Compute: (43 + (-97 + (-6))) * (-43)", "solution_steps": ["Add: -97 + (-6) = -103", "Add: 43 + (-103) = -60", "Multiply: -60 * (-43) = 2580"], "final_answer": "2580", "answer_type": "integer", "kind": "expression", "math_text": "(43 + (-97 + (-6))) * (-43)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -97, \"c\": -6, \"d\": -43}", "seed": "12286845149365421456", "semantic_fingerprint": "sha256:e6e05549df998071d23b4e4d113b24daaada919504309d9b2312fe240e19df79", "generator_version": "3.0"}
{"id": "v3_val_00000769", "prompt": "Calculate: -3 / (-48) + (-591 + 5 - (-76))", "solution_steps": ["Divide: -3 / (-48) = 1/16", "Add: -591 + 5 = -586", "Subtract: -586 - (-76) = -510", "Add: 1/16 + (-510) = -8159/16"], "final_answer": "-8159/16", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-48) + (-591 + 5 - (-76))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -48, \"c\": -591, \"d\": 5, \"e\": -76}", "seed": "16125071080599555624", "semantic_fingerprint": "sha256:70d582d3f90607756afc7a589f39a374640a00bccb41a2f4b0f0b651be253c1a", "generator_version": "3.0"}
{"id": "v3_val_00000770", "prompt": "What is (-50 - (-80)) / (5 / 56 + 75)?", "solution_steps": ["Subtract: -50 - (-80) = 30", "Divide: 5 / 56 = 5/56", "Add: 5/56 + 75 = 4205/56", "Divide: 30 / (4205/56) = 336/841"], "final_answer": "336/841", "answer_type": "rational", "kind": "expression", "math_text": "(-50 - (-80)) / (5 / 56 + 75)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -80, \"c\": 5, \"d\": 56, \"e\": 75}", "seed": "1508086833003486990", "semantic_fingerprint": "sha256:e510a4cab4ba3fd9cae48a05473dcefe14038c8c6750ff08dad5abc1fd736f69", "generator_version": "3.0"}
{"id": "v3_val_00000771", "prompt": "Calculate: 553 / (-430) * (0 - (-3))", "solution_steps": ["Divide: 553 / (-430) = -553/430", "Subtract: 0 - (-3) = 3", "Multiply: (-553/430) * 3 = -1659/430"], "final_answer": "-1659/430", "answer_type": "rational", "kind": "expression", "math_text": "553 / (-430) * (0 - (-3))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 553, \"b\": -430, \"c\": 0, \"d\": -3}", "seed": "10356879996530108134", "semantic_fingerprint": "sha256:f00de6689c0ea7236013a6cfb53960ad7af91a65f26e59971e9266297a719f8a", "generator_version": "3.0"}
{"id": "v3_val_00000772", "prompt": "Calculate: (-1 - 9) / (-7)", "solution_steps": ["Subtract: -1 - 9 = -10", "Divide: -10 / (-7) = 10/7"], "final_answer": "10/7", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - 9) / (-7)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 9, \"c\": -7}", "seed": "16147846620679121898", "semantic_fingerprint": "sha256:801d130c4886c27ff4c0e038aa5223de2482bc1a63aef147797c242aa544f505", "generator_version": "3.0"}
{"id": "v3_val_00000773", "prompt": "Compute: -137 - 1", "solution_steps": ["Subtract: -137 - 1 = -138"], "final_answer": "-138", "answer_type": "integer", "kind": "expression", "math_text": "-137 - 1", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -137, \"b\": 1}", "seed": "9999060435632312733", "semantic_fingerprint": "sha256:2cf72f4a2e399942d5a55e7876b81c2e4d6a99aeaeb053e867387f875081b181", "generator_version": "3.0"}
{"id": "v3_val_00000774", "prompt": "Evaluate: 42 - (-99) + 61", "solution_steps": ["Subtract: 42 - (-99) = 141", "Add: 141 + 61 = 202"], "final_answer": "202", "answer_type": "integer", "kind": "expression", "math_text": "42 - (-99) + 61", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -99, \"c\": 61}", "seed": "7374193617124932552", "semantic_fingerprint": "sha256:9bbe3c4ae00da2e2daaec88811da901ae79168f7aab610914773d10f5e6c66bf", "generator_version": "3.0"}
{"id": "v3_val_00000775", "prompt": "Find x: 2x = 7(x - 4)", "solution_steps": ["Expand: 2x = 7x - 28", "Subtract 7x from both sides: -5x = -28", "Divide both sides by -5: x = 28/5"], "final_answer": "28/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 7(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 4}", "seed": "8439865116567925930", "semantic_fingerprint": "sha256:da6ac5f2a87d6688f94e8e0d1a22066354df2330318ea436c5bddb3e2e503f5b", "generator_version": "3.0"}
{"id": "v3_val_00000776", "prompt": "What is 99 + 760 / (-2)?", "solution_steps": ["Divide: 760 / (-2) = -380", "Add: 99 + (-380) = -281"], "final_answer": "-281", "answer_type": "integer", "kind": "expression", "math_text": "99 + 760 / (-2)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 760, \"c\": -2}", "seed": "13289966069402642998", "semantic_fingerprint": "sha256:92f05d937fdba28f26e53b136895dd4a7e0e5dab44fa2cb36ae37f39c75e8cd7", "generator_version": "3.0"}
{"id": "v3_val_00000777", "prompt": "What value of x satisfies -9x - 35 = 4(x + 9) - 318?", "solution_steps": ["Expand: -9x - 35 = 4x + 36 - 318", "Combine constants: -9x - 35 = 4x - 282", "Subtract 4x from both sides: -13x - 35 = -282", "Add 35 to both sides: -13x = -247", "Divide both sides by -13: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 35 = 4(x + 9) - 318", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 35, \"c\": 4, \"d\": 9, \"f\": -318, \"x\": 19}", "seed": "5421727686501543761", "semantic_fingerprint": "sha256:8479c03a79ac5fd0b4e2c87149a1c927b391e5683bf270498e14586831ead53a", "generator_version": "3.0"}
{"id": "v3_val_00000778", "prompt": "Calculate: -289 * (-9)", "solution_steps": ["Multiply: -289 * (-9) = 2601"], "final_answer": "2601", "answer_type": "integer", "kind": "expression", "math_text": "-289 * (-9)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -289, \"b\": -9}", "seed": "1268380909487249929", "semantic_fingerprint": "sha256:c5233dc480c355e7774357344e95f648a98cd2bdaeca5a3454ddd8e72568a96d", "generator_version": "3.0"}
{"id": "v3_val_00000779", "prompt": "What value of x satisfies 10x = 3(x - 44) + 97?", "solution_steps": ["Expand: 10x = 3x - 132 + 97", "Combine constants: 10x = 3x - 35", "Subtract 3x from both sides: 7x = -35", "Divide both sides by 7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 3(x - 44) + 97", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 44, \"e\": 97, \"x\": -5}", "seed": "16880507688281833936", "semantic_fingerprint": "sha256:7ff9593c64fffbb79b106da64af7bc917847ef0520e13d6347282cbbf3737c2a", "generator_version": "3.0"}
{"id": "v3_val_00000780", "prompt": "Evaluate: -934 + 87 + (-91)", "solution_steps": ["Add: -934 + 87 = -847", "Add: -847 + (-91) = -938"], "final_answer": "-938", "answer_type": "integer", "kind": "expression", "math_text": "-934 + 87 + (-91)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -934, \"b\": 87, \"c\": -91}", "seed": "11738650849525816553", "semantic_fingerprint": "sha256:43753be446bc8351d3b10a3fe5c8f0b0616ba2a9e548b85ac6db91c8ae08536a", "generator_version": "3.0"}
{"id": "v3_val_00000781", "prompt": "What is -1 - 6 / (-4) + (-23 + 27)?", "solution_steps": ["Divide: 6 / (-4) = -3/2", "Subtract: -1 - (-3/2) = 1/2", "Add: -23 + 27 = 4", "Add: 1/2 + 4 = 9/2"], "final_answer": "9/2", "answer_type": "rational", "kind": "expression", "math_text": "-1 - 6 / (-4) + (-23 + 27)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 6, \"c\": -4, \"d\": -23, \"e\": 27}", "seed": "17454856260545630500", "semantic_fingerprint": "sha256:f7282566a53fc85364f3004716101f18d9e8160c9088ea7c2d5617e6aab13468", "generator_version": "3.0"}
{"id": "v3_val_00000782", "prompt": "What value of x satisfies -12x + 1 = -3x - 143?", "solution_steps": ["Add 3x to both sides: -9x + 1 = -143", "Subtract 1 from both sides: -9x = -144", "Divide both sides by -9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 1 = -3x - 143", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 1, \"c\": -3, \"e\": -143, \"x\": 16}", "seed": "10310844401656689099", "semantic_fingerprint": "sha256:777989eb8929c249c1e667d1484d7f57537787465fbc4bc94fe206373ef1fc60", "generator_version": "3.0"}
{"id": "v3_val_00000783", "prompt": "Solve the equation x = -7(x - 51) - 8 for x.", "solution_steps": ["Expand: x = -7x + 357 - 8", "Combine constants: x = -7x + 349", "Add 7x to both sides: 8x = 349", "Divide both sides by 8: x = 349/8"], "final_answer": "349/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -7(x - 51) - 8", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 51, \"c\": 8}", "seed": "9764672209729132161", "semantic_fingerprint": "sha256:2bbb406bb0c91fd53774e14cf79c0cfbcd50a7741401d6afbea9f292c4106340", "generator_version": "3.0"}
{"id": "v3_val_00000784", "prompt": "Calculate: (-6 - (-6)) / 65", "solution_steps": ["Subtract: -6 - (-6) = 0", "Divide: 0 / 65 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - (-6)) / 65", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -6, \"c\": 65}", "seed": "15724189271564401614", "semantic_fingerprint": "sha256:f04807139b686a1885cd7c0f1f0b1e14ca4af3e60ba410df362490656f438776", "generator_version": "3.0"}
{"id": "v3_val_00000785", "prompt": "Find x: x + 8 = 6(x + 9) - 131", "solution_steps": ["Expand: x + 8 = 6x + 54 - 131", "Combine constants: x + 8 = 6x - 77", "Subtract 6x from both sides: -5x + 8 = -77", "Subtract 8 from both sides: -5x = -85", "Divide both sides by -5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8 = 6(x + 9) - 131", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 9, \"e\": -131, \"x\": 17}", "seed": "18141487752788216364", "semantic_fingerprint": "sha256:c2cde20b482845035cccd765b8e83b9d8c25b79b0bf945de281e7aac68647e50", "generator_version": "3.0"}
{"id": "v3_val_00000786", "prompt": "What value of x satisfies 9(x - 2) - 981 = -9x?", "solution_steps": ["Expand: 9x - 18 - 981 = -9x", "Combine constants: 9x - 999 = -9x", "Add 9x to both sides: 18x - 999 = 0", "Add 999 to both sides: 18x = 999", "Divide both sides by 18: x = 111/2"], "final_answer": "111/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 2) - 981 = -9x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 981, \"d\": -9}", "seed": "13763160557378205425", "semantic_fingerprint": "sha256:09deb1fb62ff643ebec2275a4fb2ebe13254affb90ee7fa68253c995033fc645", "generator_version": "3.0"}
{"id": "v3_val_00000787", "prompt": "Calculate: (3 * 93 - 621 - 91) * (-70)", "solution_steps": ["Multiply: 3 * 93 = 279", "Subtract: 279 - 621 = -342", "Subtract: -342 - 91 = -433", "Multiply: -433 * (-70) = 30310"], "final_answer": "30310", "answer_type": "integer", "kind": "expression", "math_text": "(3 * 93 - 621 - 91) * (-70)", "variable": null, "family": "expression_4op", "shape": "(* (- (- (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 93, \"c\": 621, \"d\": 91, \"e\": -70}", "seed": "10375493437438815978", "semantic_fingerprint": "sha256:90974e70476156990afe1d79b657b6aed5b5783d8897feacb8348dabd696554d", "generator_version": "3.0"}
{"id": "v3_val_00000788", "prompt": "Find x: x + 522 = -10x + 456", "solution_steps": ["Add 10x to both sides: 11x + 522 = 456", "Subtract 522 from both sides: 11x = -66", "Divide both sides by 11: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 522 = -10x + 456", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 522, \"b\": -10, \"d\": 456, \"x\": -6}", "seed": "818504942095567149", "semantic_fingerprint": "sha256:f489ecf788f692377cbcd636d114e2036e08ccad066501b8c136893836d31a25", "generator_version": "3.0"}
{"id": "v3_val_00000789", "prompt": "Compute: 709 - 2 + 1", "solution_steps": ["Subtract: 709 - 2 = 707", "Add: 707 + 1 = 708"], "final_answer": "708", "answer_type": "integer", "kind": "expression", "math_text": "709 - 2 + 1", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 709, \"b\": 2, \"c\": 1}", "seed": "2853680856912876526", "semantic_fingerprint": "sha256:2729ba8b1822829bbfcabbadc5b44a5802ba6c39848d259f12b4650daa8e6f3f", "generator_version": "3.0"}
{"id": "v3_val_00000790", "prompt": "What value of x satisfies 7(x - 8) = 12(x - 42) + 393?", "solution_steps": ["Expand: 7x - 56 = 12(x - 42) + 393", "Expand: 7x - 56 = 12x - 504 + 393", "Combine constants: 7x - 56 = 12x - 111", "Subtract 12x from both sides: -5x - 56 = -111", "Add 56 to both sides: -5x = -55", "Divide both sides by -5: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 8) = 12(x - 42) + 393", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 12, \"d\": 42, \"f\": 393, \"x\": 11}", "seed": "12844276308777864390", "semantic_fingerprint": "sha256:6e91795b7104849944ece8c1934890722db4b905da716bfde6ee79ecc300a45d", "generator_version": "3.0"}
{"id": "v3_val_00000791", "prompt": "Evaluate: 390 - (0 + (-7))", "solution_steps": ["Add: 0 + (-7) = -7", "Subtract: 390 - (-7) = 397"], "final_answer": "397", "answer_type": "integer", "kind": "expression", "math_text": "390 - (0 + (-7))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 390, \"b\": 0, \"c\": -7}", "seed": "4697876618251704579", "semantic_fingerprint": "sha256:baac144324556288b4f0e757aed4c182a35f1949da36a5c9793549a30dc9c380", "generator_version": "3.0"}
{"id": "v3_val_00000792", "prompt": "Evaluate: (-400 + (613 - (-53))) * (-618)", "solution_steps": ["Subtract: 613 - (-53) = 666", "Add: -400 + 666 = 266", "Multiply: 266 * (-618) = -164388"], "final_answer": "-164388", "answer_type": "integer", "kind": "expression", "math_text": "(-400 + (613 - (-53))) * (-618)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -400, \"b\": 613, \"c\": -53, \"d\": -618}", "seed": "17452564884052485982", "semantic_fingerprint": "sha256:8b37ace9861f12487a7b507cdb7c0c71f18063f9efa0a06822d645153eacd858", "generator_version": "3.0"}
{"id": "v3_val_00000793", "prompt": "Compute: -1 + 59", "solution_steps": ["Add: -1 + 59 = 58"], "final_answer": "58", "answer_type": "integer", "kind": "expression", "math_text": "-1 + 59", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 59}", "seed": "2242098317626007744", "semantic_fingerprint": "sha256:4242cc656532222dc1eea8b86b2647e666cd238196edcaf8ced95c39ff57b30c", "generator_version": "3.0"}
{"id": "v3_val_00000794", "prompt": "Compute: 818 * 0", "solution_steps": ["Multiply: 818 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "818 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 818, \"b\": 0}", "seed": "5815473122209344817", "semantic_fingerprint": "sha256:6045f8e64e51c058d1b0f8c8b8662d227ae1943a6d50e6a402d6d7ce28390edc", "generator_version": "3.0"}
{"id": "v3_val_00000795", "prompt": "Solve for x: 9x + 4 = 12x - 47", "solution_steps": ["Subtract 12x from both sides: -3x + 4 = -47", "Subtract 4 from both sides: -3x = -51", "Divide both sides by -3: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 4 = 12x - 47", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 12, \"e\": -47, \"x\": 17}", "seed": "2010744489660279980", "semantic_fingerprint": "sha256:0370143724943474e081a3f970ec1d438b9c7205e0a9c9ad2fbbb6f9397d3bed", "generator_version": "3.0"}
{"id": "v3_val_00000796", "prompt": "Solve for x: -2(x - 56) = 5x", "solution_steps": ["Expand: -2x + 112 = 5x", "Subtract 5x from both sides: -7x + 112 = 0", "Subtract 112 from both sides: -7x = -112", "Divide both sides by -7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 56) = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 56, \"c\": 5}", "seed": "1615689081625040000", "semantic_fingerprint": "sha256:62cd95f992eeaf558fecf2fd4efa89f79d20da24cb1ab5827553b40f33fc4bd1", "generator_version": "3.0"}
{"id": "v3_val_00000797", "prompt": "Find x: 10(x + 697) = x", "solution_steps": ["Expand: 10x + 6970 = x", "Subtract x from both sides: 9x + 6970 = 0", "Subtract 6970 from both sides: 9x = -6970", "Divide both sides by 9: x = -6970/9"], "final_answer": "-6970/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 697) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 697}", "seed": "6174919718936858688", "semantic_fingerprint": "sha256:fc488e9b705931e6831c19f6be326b518cc86118f6aa64726d6450d423af96dc", "generator_version": "3.0"}
{"id": "v3_val_00000798", "prompt": "Compute: -56 / (-86) + (-4 - 97)", "solution_steps": ["Divide: -56 / (-86) = 28/43", "Subtract: -4 - 97 = -101", "Add: 28/43 + (-101) = -4315/43"], "final_answer": "-4315/43", "answer_type": "rational", "kind": "expression", "math_text": "-56 / (-86) + (-4 - 97)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -86, \"c\": -4, \"d\": 97}", "seed": "5739785581741290132", "semantic_fingerprint": "sha256:c0991f7a9c188a1cc633f1a5824cb6a55f99fcfc272188865465d3832aa7de7a", "generator_version": "3.0"}
{"id": "v3_val_00000799", "prompt": "Compute: 64 / (-78)", "solution_steps": ["Divide: 64 / (-78) = -32/39"], "final_answer": "-32/39", "answer_type": "rational", "kind": "expression", "math_text": "64 / (-78)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -78}", "seed": "12573993037682848440", "semantic_fingerprint": "sha256:4599798e0d00a44404b7637bb0e96dbaed435a44649b8ba59e1925e0df3d6457", "generator_version": "3.0"}
{"id": "v3_val_00000800", "prompt": "Solve for x: 8(x - 4) = x - 67", "solution_steps": ["Expand: 8x - 32 = x - 67", "Subtract x from both sides: 7x - 32 = -67", "Add 32 to both sides: 7x = -35", "Divide both sides by 7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 4) = x - 67", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"d\": -67, \"x\": -5}", "seed": "11558112894354445499", "semantic_fingerprint": "sha256:2b5fd316e23eeaef4575078e2ff7e1b1688ab43aa7c88d2b6b657d3ec41a1023", "generator_version": "3.0"}
{"id": "v3_val_00000801", "prompt": "Solve the equation -8(x - 72) + 51 = -12(x - 20) + 403 for x.", "solution_steps": ["Expand: -8x + 576 + 51 = -12(x - 20) + 403", "Expand: -8x + 576 + 51 = -12x + 240 + 403", "Combine constants: -8x + 627 = -12x + 240 + 403", "Combine constants: -8x + 627 = -12x + 643", "Add 12x to both sides: 4x + 627 = 643", "Subtract 627 from both sides: 4x = 16", "Divide both sides by 4: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 72) + 51 = -12(x - 20) + 403", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 72, \"c\": 51, \"d\": -12, \"e\": 20, \"g\": 403, \"x\": 4}", "seed": "6793201754927148826", "semantic_fingerprint": "sha256:290667e97521a7a7d2fc92370780b36029762fcb449d40d82ed0af63a154da0e", "generator_version": "3.0"}
{"id": "v3_val_00000802", "prompt": "Compute: 59 * (-756 / 9)", "solution_steps": ["Divide: -756 / 9 = -84", "Multiply: 59 * (-84) = -4956"], "final_answer": "-4956", "answer_type": "integer", "kind": "expression", "math_text": "59 * (-756 / 9)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -756, \"c\": 9}", "seed": "9461939491927441058", "semantic_fingerprint": "sha256:45db3490570dcd5a4e298144638d22e9f132f0357b2a80952fe95876c6baa940", "generator_version": "3.0"}
{"id": "v3_val_00000803", "prompt": "What is 9 + 352 * (-631)?", "solution_steps": ["Multiply: 352 * (-631) = -222112", "Add: 9 + (-222112) = -222103"], "final_answer": "-222103", "answer_type": "integer", "kind": "expression", "math_text": "9 + 352 * (-631)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 352, \"c\": -631}", "seed": "8390317134406884616", "semantic_fingerprint": "sha256:6ae04a614e64b7edba6530cf4b8264ecd2dc848ab429622336a76697da5d78b8", "generator_version": "3.0"}
{"id": "v3_val_00000804", "prompt": "Solve the equation 10(x + 272) - 5 = 7x - 659 for x.", "solution_steps": ["Expand: 10x + 2720 - 5 = 7x - 659", "Combine constants: 10x + 2715 = 7x - 659", "Subtract 7x from both sides: 3x + 2715 = -659", "Subtract 2715 from both sides: 3x = -3374", "Divide both sides by 3: x = -3374/3"], "final_answer": "-3374/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 272) - 5 = 7x - 659", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 272, \"c\": 5, \"d\": 7, \"e\": 659}", "seed": "2941679591691558160", "semantic_fingerprint": "sha256:009efbb24bd84eb436d0aa2cef0f5fed920cca686d90aab6214d3c3e4a0f308a", "generator_version": "3.0"}
{"id": "v3_val_00000805", "prompt": "Compute: 86 + (-2)", "solution_steps": ["Add: 86 + (-2) = 84"], "final_answer": "84", "answer_type": "integer", "kind": "expression", "math_text": "86 + (-2)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -2}", "seed": "6803074408033218176", "semantic_fingerprint": "sha256:387bd3edfd351d15907ed99e4e22f15c9e56e6526e99a7835be290b7f1c767a8", "generator_version": "3.0"}
{"id": "v3_val_00000806", "prompt": "Solve the equation 11x = 9x + 32 for x.", "solution_steps": ["Subtract 9x from both sides: 2x = 32", "Divide both sides by 2: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 9x + 32", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"d\": 32, \"x\": 16}", "seed": "14419302763909623243", "semantic_fingerprint": "sha256:7fdda04f4666d0bb4e4b214b06a258c269565a4dfa153208e9299f57ba152438", "generator_version": "3.0"}
{"id": "v3_val_00000807", "prompt": "Evaluate: -6 / 34 - (-2 - (-8))", "solution_steps": ["Divide: -6 / 34 = -3/17", "Subtract: -2 - (-8) = 6", "Subtract: -3/17 - 6 = -105/17"], "final_answer": "-105/17", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 34 - (-2 - (-8))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 34, \"c\": -2, \"d\": -8}", "seed": "598919372681540202", "semantic_fingerprint": "sha256:e96cda2cad2b560112fd51589d2dc894936d6cf7f23903c24ce05b7d526e610d", "generator_version": "3.0"}
{"id": "v3_val_00000808", "prompt": "Compute: -516 + (-22 / (-8) + (-1))", "solution_steps": ["Divide: -22 / (-8) = 11/4", "Add: 11/4 + (-1) = 7/4", "Add: -516 + 7/4 = -2057/4"], "final_answer": "-2057/4", "answer_type": "rational", "kind": "expression", "math_text": "-516 + (-22 / (-8) + (-1))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -516, \"b\": -22, \"c\": -8, \"d\": -1}", "seed": "13740586056176547995", "semantic_fingerprint": "sha256:86befc90f24b260b6f1fe9948ee975e9ed893bcbf11fb4104233bc293b9e4a8c", "generator_version": "3.0"}
{"id": "v3_val_00000809", "prompt": "Solve for x: x + 98 = 3(x - 6) + 150", "solution_steps": ["Expand: x + 98 = 3x - 18 + 150", "Combine constants: x + 98 = 3x + 132", "Subtract 3x from both sides: -2x + 98 = 132", "Subtract 98 from both sides: -2x = 34", "Divide both sides by -2: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 98 = 3(x - 6) + 150", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 3, \"c\": 6, \"e\": 150, \"x\": -17}", "seed": "16755924973250854745", "semantic_fingerprint": "sha256:b0826703efb4d2d8a24dbe1115b0fda936b0c7e982dc9f5f7a476fb1ae24dd39", "generator_version": "3.0"}
{"id": "v3_val_00000810", "prompt": "What is 6 / (-1 + 195)?", "solution_steps": ["Add: -1 + 195 = 194", "Divide: 6 / 194 = 3/97"], "final_answer": "3/97", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-1 + 195)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -1, \"c\": 195}", "seed": "7568015645264070563", "semantic_fingerprint": "sha256:8e77cda2274dba4c1abb5cebad8cae84a633720330c96ed0eee89f5cddeca0e5", "generator_version": "3.0"}
{"id": "v3_val_00000811", "prompt": "Compute: -79 - (-361)", "solution_steps": ["Subtract: -79 - (-361) = 282"], "final_answer": "282", "answer_type": "integer", "kind": "expression", "math_text": "-79 - (-361)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -361}", "seed": "4345462121905911811", "semantic_fingerprint": "sha256:4b97f0ebecc0f542bd6ff628334e636d464b379deeda21ffa65fe51edf1f380f", "generator_version": "3.0"}
{"id": "v3_val_00000812", "prompt": "Compute: -951 * (52 / 70)", "solution_steps": ["Divide: 52 / 70 = 26/35", "Multiply: -951 * (26/35) = -24726/35"], "final_answer": "-24726/35", "answer_type": "rational", "kind": "expression", "math_text": "-951 * (52 / 70)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -951, \"b\": 52, \"c\": 70}", "seed": "2272551394160317891", "semantic_fingerprint": "sha256:6055e7d4aaf0ea7dfc664bd48290a57260f6f891133925f07fe926c289aa7bfe", "generator_version": "3.0"}
{"id": "v3_val_00000813", "prompt": "Calculate: 450 / 23", "solution_steps": ["Divide: 450 / 23 = 450/23"], "final_answer": "450/23", "answer_type": "rational", "kind": "expression", "math_text": "450 / 23", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 450, \"b\": 23}", "seed": "5920208440826052188", "semantic_fingerprint": "sha256:adc17f0694e4f74f7acc404c0a70842fa20cae77603e14f0e2b446379127059c", "generator_version": "3.0"}
{"id": "v3_val_00000814", "prompt": "What value of x satisfies x = 12(x - 7)?", "solution_steps": ["Expand: x = 12x - 84", "Subtract 12x from both sides: -11x = -84", "Divide both sides by -11: x = 84/11"], "final_answer": "84/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12(x - 7)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7}", "seed": "2867572774624116361", "semantic_fingerprint": "sha256:8b60a4a6dfb6890920fe26d623bc5c11fdad5393a301555b4e722c3e2923d050", "generator_version": "3.0"}
{"id": "v3_val_00000815", "prompt": "Evaluate: 60 - (-8 + (85 / (-65) - (-7)))", "solution_steps": ["Divide: 85 / (-65) = -17/13", "Subtract: -17/13 - (-7) = 74/13", "Add: -8 + 74/13 = -30/13", "Subtract: 60 - (-30/13) = 810/13"], "final_answer": "810/13", "answer_type": "rational", "kind": "expression", "math_text": "60 - (-8 + (85 / (-65) - (-7)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (- (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -8, \"c\": 85, \"d\": -65, \"e\": -7}", "seed": "10380506172181872562", "semantic_fingerprint": "sha256:4fbdcb53f4bb2b9d62cda1b353a75df42634fe8bad9fc37e84a5147f2325682f", "generator_version": "3.0"}
{"id": "v3_val_00000816", "prompt": "Find x: 11(x + 55) - 2 = 4(x - 90) + 942", "solution_steps": ["Expand: 11x + 605 - 2 = 4(x - 90) + 942", "Expand: 11x + 605 - 2 = 4x - 360 + 942", "Combine constants: 11x + 603 = 4x - 360 + 942", "Combine constants: 11x + 603 = 4x + 582", "Subtract 4x from both sides: 7x + 603 = 582", "Subtract 603 from both sides: 7x = -21", "Divide both sides by 7: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 55) - 2 = 4(x - 90) + 942", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 55, \"c\": 2, \"d\": 4, \"e\": 90, \"g\": 942, \"x\": -3}", "seed": "7943812180668635124", "semantic_fingerprint": "sha256:21c6492b5190d04ece145a086ba080d8a78aa2b9e323df74c0cf243d78b80966", "generator_version": "3.0"}
{"id": "v3_val_00000817", "prompt": "Solve for x: 8(x - 361) - 758 = -5x", "solution_steps": ["Expand: 8x - 2888 - 758 = -5x", "Combine constants: 8x - 3646 = -5x", "Add 5x to both sides: 13x - 3646 = 0", "Add 3646 to both sides: 13x = 3646", "Divide both sides by 13: x = 3646/13"], "final_answer": "3646/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 361) - 758 = -5x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 361, \"c\": 758, \"d\": -5}", "seed": "3985536255838240485", "semantic_fingerprint": "sha256:5b0b8b75277e234772c1c4092dabe977f54ce98f11f3baebe110965885e740aa", "generator_version": "3.0"}
{"id": "v3_val_00000818", "prompt": "Compute: -71 + (-94)", "solution_steps": ["Add: -71 + (-94) = -165"], "final_answer": "-165", "answer_type": "integer", "kind": "expression", "math_text": "-71 + (-94)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -94}", "seed": "3737667224512663047", "semantic_fingerprint": "sha256:4a17393de019b37bcbb581107505bee7b7d1de641bb866e35eaa7780eede1bcc", "generator_version": "3.0"}
{"id": "v3_val_00000819", "prompt": "What is 1 + 0 * (66 - (-4)) + (-56) * (-1)?", "solution_steps": ["Subtract: 66 - (-4) = 70", "Multiply: 0 * 70 = 0", "Add: 1 + 0 = 1", "Multiply: -56 * (-1) = 56", "Add: 1 + 56 = 57"], "final_answer": "57", "answer_type": "integer", "kind": "expression", "math_text": "1 + 0 * (66 - (-4)) + (-56) * (-1)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": 66, \"d\": -4, \"e\": -56, \"f\": -1}", "seed": "14407023308756182341", "semantic_fingerprint": "sha256:3edb2ec375d979876bdeed4427e773b71b85858ba4f0217c5183327f321a5336", "generator_version": "3.0"}
{"id": "v3_val_00000820", "prompt": "What is (-8 + 1) / (-37 * (-4))?", "solution_steps": ["Add: -8 + 1 = -7", "Multiply: -37 * (-4) = 148", "Divide: -7 / 148 = -7/148"], "final_answer": "-7/148", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 1) / (-37 * (-4))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"c\": -37, \"d\": -4}", "seed": "14546583087324214027", "semantic_fingerprint": "sha256:20fffba4b5f25d39dc43be825f39d134974e4c2b3115711f873b020d531d5eb7", "generator_version": "3.0"}
{"id": "v3_val_00000821", "prompt": "Solve for x: 10x + 86 = -222", "solution_steps": ["Subtract 86 from both sides: 10x = -308", "Divide both sides by 10: x = -154/5"], "final_answer": "-154/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x + 86 = -222", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 86, \"c\": -222}", "seed": "12770372624061523832", "semantic_fingerprint": "sha256:f65ec8ae4a475d2e9d3f2933a065ff801728c5ae5e9c52d64a9567198a5f55cd", "generator_version": "3.0"}
{"id": "v3_val_00000822", "prompt": "Solve for x: 3(x + 9) - 63 = x", "solution_steps": ["Expand: 3x + 27 - 63 = x", "Combine constants: 3x - 36 = x", "Subtract x from both sides: 2x - 36 = 0", "Add 36 to both sides: 2x = 36", "Divide both sides by 2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 9) - 63 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"d\": -63, \"x\": 18}", "seed": "13784769128466867649", "semantic_fingerprint": "sha256:c6eaf302a7f6a478539712d7d47ff63c13f3634677d8ed6f31e543c2a3df2673", "generator_version": "3.0"}
{"id": "v3_val_00000823", "prompt": "Compute: (3 + 445) * 602 - 11", "solution_steps": ["Add: 3 + 445 = 448", "Multiply: 448 * 602 = 269696", "Subtract: 269696 - 11 = 269685"], "final_answer": "269685", "answer_type": "integer", "kind": "expression", "math_text": "(3 + 445) * 602 - 11", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 445, \"c\": 602, \"d\": 11}", "seed": "4275810586112537508", "semantic_fingerprint": "sha256:0c19499d19060092898580e2eaa81f9df7503ba11e8e183a914110c6c4f8eb9d", "generator_version": "3.0"}
{"id": "v3_val_00000824", "prompt": "Calculate: -589 / (71 / (-3) - (-2))", "solution_steps": ["Divide: 71 / (-3) = -71/3", "Subtract: -71/3 - (-2) = -65/3", "Divide: -589 / (-65/3) = 1767/65"], "final_answer": "1767/65", "answer_type": "rational", "kind": "expression", "math_text": "-589 / (71 / (-3) - (-2))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -589, \"b\": 71, \"c\": -3, \"d\": -2}", "seed": "15555299836210475330", "semantic_fingerprint": "sha256:5ecc17ca6d39adbd74ac4eed2502fbcfc9158ebf284f334309ad799900351240", "generator_version": "3.0"}
{"id": "v3_val_00000825", "prompt": "What is 9 / (95 * (-2))?", "solution_steps": ["Multiply: 95 * (-2) = -190", "Divide: 9 / (-190) = -9/190"], "final_answer": "-9/190", "answer_type": "rational", "kind": "expression", "math_text": "9 / (95 * (-2))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 95, \"c\": -2}", "seed": "13144995673030665722", "semantic_fingerprint": "sha256:14380837527364918383b8c2f638d2cf5020a97ba638c6d01587002179e7dac0", "generator_version": "3.0"}
{"id": "v3_val_00000826", "prompt": "Find x: 5(x + 9) - 998 = -853", "solution_steps": ["Expand: 5x + 45 - 998 = -853", "Combine constants: 5x - 953 = -853", "Add 953 to both sides: 5x = 100", "Divide both sides by 5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 9) - 998 = -853", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 998, \"e\": -853, \"x\": 20}", "seed": "10183908731629250407", "semantic_fingerprint": "sha256:9deb5c098f0a72bfa6752afb9e7fade64338e020940b8e2e97d3613155471808", "generator_version": "3.0"}
{"id": "v3_val_00000827", "prompt": "What is -99 + (-8 - (-674 + (-45 + (-76))))?", "solution_steps": ["Add: -45 + (-76) = -121", "Add: -674 + (-121) = -795", "Subtract: -8 - (-795) = 787", "Add: -99 + 787 = 688"], "final_answer": "688", "answer_type": "integer", "kind": "expression", "math_text": "-99 + (-8 - (-674 + (-45 + (-76))))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -8, \"c\": -674, \"d\": -45, \"e\": -76}", "seed": "7452846284202281698", "semantic_fingerprint": "sha256:ee21af84b1310a602426a61a1fe438141f86635c45545e1b501c9b260d467cc6", "generator_version": "3.0"}
{"id": "v3_val_00000828", "prompt": "What value of x satisfies 10(x + 8) + 98 = 288?", "solution_steps": ["Expand: 10x + 80 + 98 = 288", "Combine constants: 10x + 178 = 288", "Subtract 178 from both sides: 10x = 110", "Divide both sides by 10: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 8) + 98 = 288", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 98, \"e\": 288, \"x\": 11}", "seed": "18185502833549245544", "semantic_fingerprint": "sha256:0cb3a308aedf4473f27f47af14d4f7732ebfa8b4817a8fc5045e87d1a466421b", "generator_version": "3.0"}
{"id": "v3_val_00000829", "prompt": "Calculate: 5 * 0 - (4 - 1)", "solution_steps": ["Multiply: 5 * 0 = 0", "Subtract: 4 - 1 = 3", "Subtract: 0 - 3 = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "expression", "math_text": "5 * 0 - (4 - 1)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 0, \"c\": 4, \"d\": 1}", "seed": "5979317378727010109", "semantic_fingerprint": "sha256:95e52cba42b15b880a8e133ebd4594ec7b66d532f5d2f9eb1008f8c1d0d3b19b", "generator_version": "3.0"}
{"id": "v3_val_00000830", "prompt": "Solve for x: 2x + 8 = x + 18", "solution_steps": ["Subtract x from both sides: x + 8 = 18", "Subtract 8 from both sides: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 8 = x + 18", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"d\": 18, \"x\": 10}", "seed": "938749020081971905", "semantic_fingerprint": "sha256:0a8f8c6cb3a863e241b6e2863494f94ffad9e1229d7b85b962dc9b589f9e7fea", "generator_version": "3.0"}
{"id": "v3_val_00000831", "prompt": "Solve for x: 12(x + 8) + 841 = 4(x + 22) + 801", "solution_steps": ["Expand: 12x + 96 + 841 = 4(x + 22) + 801", "Expand: 12x + 96 + 841 = 4x + 88 + 801", "Combine constants: 12x + 937 = 4x + 88 + 801", "Combine constants: 12x + 937 = 4x + 889", "Subtract 4x from both sides: 8x + 937 = 889", "Subtract 937 from both sides: 8x = -48", "Divide both sides by 8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 8) + 841 = 4(x + 22) + 801", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 841, \"d\": 4, \"e\": 22, \"g\": 801, \"x\": -6}", "seed": "3841943998483761179", "semantic_fingerprint": "sha256:45d3a9de287a0faf638001f977cc1eca8f67df95f0ac6815342e07582b2dbb66", "generator_version": "3.0"}
{"id": "v3_val_00000832", "prompt": "What value of x satisfies x + 71 = 5x + 139?", "solution_steps": ["Subtract 5x from both sides: -4x + 71 = 139", "Subtract 71 from both sides: -4x = 68", "Divide both sides by -4: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 71 = 5x + 139", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 5, \"d\": 139, \"x\": -17}", "seed": "3985562876603334662", "semantic_fingerprint": "sha256:3c1f722e8c31d14128e189e0ae9add2b89c2a1c09a4beb1ae7073555a81bce7b", "generator_version": "3.0"}
{"id": "v3_val_00000833", "prompt": "Compute: -4 * (-790 + 27)", "solution_steps": ["Add: -790 + 27 = -763", "Multiply: -4 * (-763) = 3052"], "final_answer": "3052", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-790 + 27)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -790, \"c\": 27}", "seed": "13232140973086377684", "semantic_fingerprint": "sha256:4dca44a52701fc9c138ce73847c04e0418fbf57f24ce9a4f1717ea60071dd924", "generator_version": "3.0"}
{"id": "v3_val_00000834", "prompt": "Find x: x + 3 = 11(x + 9) - 36", "solution_steps": ["Expand: x + 3 = 11x + 99 - 36", "Combine constants: x + 3 = 11x + 63", "Subtract 11x from both sides: -10x + 3 = 63", "Subtract 3 from both sides: -10x = 60", "Divide both sides by -10: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = 11(x + 9) - 36", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 11, \"c\": 9, \"e\": -36, \"x\": -6}", "seed": "8591309532866808683", "semantic_fingerprint": "sha256:ce5bcad432686bfc10b48b4cd004c5f398511a98190552520bc4206da0bced92", "generator_version": "3.0"}
{"id": "v3_val_00000835", "prompt": "Evaluate: 2 * (-7)", "solution_steps": ["Multiply: 2 * (-7) = -14"], "final_answer": "-14", "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": "1575554541730949572", "semantic_fingerprint": "sha256:e45280896dbdb8da91cf8933553652630233bf5db8d373f433cc4f661bae328e", "generator_version": "3.0"}
{"id": "v3_val_00000836", "prompt": "Find x: 9x - 629 = 11(x - 5) - 3", "solution_steps": ["Expand: 9x - 629 = 11x - 55 - 3", "Combine constants: 9x - 629 = 11x - 58", "Subtract 11x from both sides: -2x - 629 = -58", "Add 629 to both sides: -2x = 571", "Divide both sides by -2: x = -571/2"], "final_answer": "-571/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 629 = 11(x - 5) - 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 629, \"c\": 11, \"d\": 5, \"e\": 3}", "seed": "1756629778132657929", "semantic_fingerprint": "sha256:97c1d9ddf341d73eda879d87dd8f2ca8c239e7bcd78128c03d7a40a37e4c0f89", "generator_version": "3.0"}
{"id": "v3_val_00000837", "prompt": "What value of x satisfies 10(x + 2) - 72 = 11(x - 44) + 432?", "solution_steps": ["Expand: 10x + 20 - 72 = 11(x - 44) + 432", "Expand: 10x + 20 - 72 = 11x - 484 + 432", "Combine constants: 10x - 52 = 11x - 484 + 432", "Combine constants: 10x - 52 = 11x - 52", "Subtract 11x from both sides: -x - 52 = -52", "Add 52 to both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 2) - 72 = 11(x - 44) + 432", "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\": 72, \"d\": 11, \"e\": 44, \"g\": 432, \"x\": 0}", "seed": "16103457889473124500", "semantic_fingerprint": "sha256:11a8b6659c11bf64c4743316d4544e336e4534b06e477443e2e6d3b3b80186c0", "generator_version": "3.0"}
{"id": "v3_val_00000838", "prompt": "Calculate: -5 / 9 * 6", "solution_steps": ["Divide: -5 / 9 = -5/9", "Multiply: (-5/9) * 6 = -10/3"], "final_answer": "-10/3", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 9 * 6", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": 6}", "seed": "8283554294924272363", "semantic_fingerprint": "sha256:a3cc0615c51a3a47b1a7d7d6941b7e7cb9b8bf45487f32ce716f9c3c076b908f", "generator_version": "3.0"}
{"id": "v3_val_00000839", "prompt": "What is 71 + 52 - (698 - (-6 - (0 + (-868))))?", "solution_steps": ["Add: 71 + 52 = 123", "Add: 0 + (-868) = -868", "Subtract: -6 - (-868) = 862", "Subtract: 698 - 862 = -164", "Subtract: 123 - (-164) = 287"], "final_answer": "287", "answer_type": "integer", "kind": "expression", "math_text": "71 + 52 - (698 - (-6 - (0 + (-868))))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- n (- n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 52, \"c\": 698, \"d\": -6, \"e\": 0, \"f\": -868}", "seed": "6042325870008477521", "semantic_fingerprint": "sha256:ff989d4faf471bf19fa62de7d7acb39306a53eb16329579a195348fc4ca18388", "generator_version": "3.0"}
{"id": "v3_val_00000840", "prompt": "Solve the equation -5(x + 9) = 7x - 902 for x.", "solution_steps": ["Expand: -5x - 45 = 7x - 902", "Subtract 7x from both sides: -12x - 45 = -902", "Add 45 to both sides: -12x = -857", "Divide both sides by -12: x = 857/12"], "final_answer": "857/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 9) = 7x - 902", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": 7, \"d\": 902}", "seed": "9073797279147627232", "semantic_fingerprint": "sha256:21aca01c11030ab0c6ef0c5f8861c93dee241e8f51a73b22158e1e648f0f2cb6", "generator_version": "3.0"}
{"id": "v3_val_00000841", "prompt": "What is 9 * (-850) / (3 * 17)?", "solution_steps": ["Multiply: 9 * (-850) = -7650", "Multiply: 3 * 17 = 51", "Divide: -7650 / 51 = -150"], "final_answer": "-150", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-850) / (3 * 17)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -850, \"c\": 3, \"d\": 17}", "seed": "5718355040600680729", "semantic_fingerprint": "sha256:d0dee9c4c0385f53b02631020b84cdd2aba4f50b829a35b0cf5ee7646362119b", "generator_version": "3.0"}
{"id": "v3_val_00000842", "prompt": "What value of x satisfies 2(x + 9) = 7(x - 9)?", "solution_steps": ["Expand: 2x + 18 = 7(x - 9)", "Expand: 2x + 18 = 7x - 63", "Subtract 7x from both sides: -5x + 18 = -63", "Subtract 18 from both sides: -5x = -81", "Divide both sides by -5: x = 81/5"], "final_answer": "81/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 9) = 7(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 7, \"d\": 9}", "seed": "16418726785692872660", "semantic_fingerprint": "sha256:3a6e3082a2ffc737ff690c358af3679f487633bd04d50cf096a8201de3b2eccb", "generator_version": "3.0"}
{"id": "v3_val_00000843", "prompt": "Compute: -4 * 60", "solution_steps": ["Multiply: -4 * 60 = -240"], "final_answer": "-240", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 60", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 60}", "seed": "11701683581839513346", "semantic_fingerprint": "sha256:c203f903728b32df016e4d840b7364dd7d792b610128b3442ede01b5c0cf5018", "generator_version": "3.0"}
{"id": "v3_val_00000844", "prompt": "What is 5 * (15 + (-91) - (-5 + 49))?", "solution_steps": ["Add: 15 + (-91) = -76", "Add: -5 + 49 = 44", "Subtract: -76 - 44 = -120", "Multiply: 5 * (-120) = -600"], "final_answer": "-600", "answer_type": "integer", "kind": "expression", "math_text": "5 * (15 + (-91) - (-5 + 49))", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 15, \"c\": -91, \"d\": -5, \"e\": 49}", "seed": "2453179342601597661", "semantic_fingerprint": "sha256:921219f4fd4169451729f1e7339453d647b63841ac9e1d3b90e06583abab305a", "generator_version": "3.0"}
{"id": "v3_val_00000845", "prompt": "Find x: -7x - 46 = -11(x - 33) - 341", "solution_steps": ["Expand: -7x - 46 = -11x + 363 - 341", "Combine constants: -7x - 46 = -11x + 22", "Add 11x to both sides: 4x - 46 = 22", "Add 46 to both sides: 4x = 68", "Divide both sides by 4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 46 = -11(x - 33) - 341", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 46, \"c\": -11, \"d\": 33, \"f\": -341, \"x\": 17}", "seed": "17644445960402287678", "semantic_fingerprint": "sha256:34871f6aa67e4066f8c530c094463492fdc8f7b8afffaeed155ab002bb74ccd8", "generator_version": "3.0"}
{"id": "v3_val_00000846", "prompt": "Solve the equation -9(x - 6) = 10(x + 8) - 301 for x.", "solution_steps": ["Expand: -9x + 54 = 10(x + 8) - 301", "Expand: -9x + 54 = 10x + 80 - 301", "Combine constants: -9x + 54 = 10x - 221", "Subtract 10x from both sides: -19x + 54 = -221", "Subtract 54 from both sides: -19x = -275", "Divide both sides by -19: x = 275/19"], "final_answer": "275/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 6) = 10(x + 8) - 301", "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\": 8, \"e\": 301}", "seed": "4985765592718369444", "semantic_fingerprint": "sha256:9acb5dea6814fa2edc1899cb25e8d0b4ababacb90024d42a58fb07ba8d83a866", "generator_version": "3.0"}
{"id": "v3_val_00000847", "prompt": "What is 273 * 32 * 66?", "solution_steps": ["Multiply: 273 * 32 = 8736", "Multiply: 8736 * 66 = 576576"], "final_answer": "576576", "answer_type": "integer", "kind": "expression", "math_text": "273 * 32 * 66", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 273, \"b\": 32, \"c\": 66}", "seed": "8082908702705082255", "semantic_fingerprint": "sha256:8caaf634aebec2c3ac2f7035791fcbdd0ccdecfc6cfdc9e70ddb2aaa07b55a7e", "generator_version": "3.0"}
{"id": "v3_val_00000848", "prompt": "Calculate: 1 + (-4 * 6 + 2)", "solution_steps": ["Multiply: -4 * 6 = -24", "Add: -24 + 2 = -22", "Add: 1 + (-22) = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-4 * 6 + 2)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -4, \"c\": 6, \"d\": 2}", "seed": "14851995996161584776", "semantic_fingerprint": "sha256:8514cba98e0bdf7f71515992839e132e90ef0baecb9960664d2917e119009f82", "generator_version": "3.0"}
{"id": "v3_val_00000849", "prompt": "Compute: -9 / 963", "solution_steps": ["Divide: -9 / 963 = -1/107"], "final_answer": "-1/107", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 963", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 963}", "seed": "10941516988251569540", "semantic_fingerprint": "sha256:0a1ac3ebbd03448cf77fc693f96edf49f0730d29482b61d287607de2982a21f4", "generator_version": "3.0"}
{"id": "v3_val_00000850", "prompt": "Calculate: 58 / (3 * 655)", "solution_steps": ["Multiply: 3 * 655 = 1965", "Divide: 58 / 1965 = 58/1965"], "final_answer": "58/1965", "answer_type": "rational", "kind": "expression", "math_text": "58 / (3 * 655)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 3, \"c\": 655}", "seed": "15750526335632315267", "semantic_fingerprint": "sha256:6a7cf233e7e56a94703183d492f116fd2c87e27a85c955df9f521b7e8ec3ebb1", "generator_version": "3.0"}
{"id": "v3_val_00000851", "prompt": "Calculate: 9 - 2 + (-7) * (-82)", "solution_steps": ["Subtract: 9 - 2 = 7", "Multiply: -7 * (-82) = 574", "Add: 7 + 574 = 581"], "final_answer": "581", "answer_type": "integer", "kind": "expression", "math_text": "9 - 2 + (-7) * (-82)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": -7, \"d\": -82}", "seed": "3017019983099290857", "semantic_fingerprint": "sha256:65b2355d43fe48ef87945bc9fe8794198815de2c3d7ac8b2af26e19eb538af1b", "generator_version": "3.0"}
{"id": "v3_val_00000852", "prompt": "Calculate: -2 / (-5)", "solution_steps": ["Divide: -2 / (-5) = 2/5"], "final_answer": "2/5", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-5)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -5}", "seed": "9657264495074579484", "semantic_fingerprint": "sha256:352c1b569e5b015282820025ba4cad2cb6859e373792430a6335d22250957294", "generator_version": "3.0"}
{"id": "v3_val_00000853", "prompt": "Calculate: 21 * 63 / (33 * (-81))", "solution_steps": ["Multiply: 21 * 63 = 1323", "Multiply: 33 * (-81) = -2673", "Divide: 1323 / (-2673) = -49/99"], "final_answer": "-49/99", "answer_type": "rational", "kind": "expression", "math_text": "21 * 63 / (33 * (-81))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 63, \"c\": 33, \"d\": -81}", "seed": "7981996117422516870", "semantic_fingerprint": "sha256:6ea7a2a8acd1d87ecb73eff10d0dee34e89b9f4c59ea7e96e1d34a8684208a4c", "generator_version": "3.0"}
{"id": "v3_val_00000854", "prompt": "Evaluate: 91 - (-7 + 7)", "solution_steps": ["Add: -7 + 7 = 0", "Subtract: 91 - 0 = 91"], "final_answer": "91", "answer_type": "integer", "kind": "expression", "math_text": "91 - (-7 + 7)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -7, \"c\": 7}", "seed": "2268629071009648232", "semantic_fingerprint": "sha256:7c3b7dd59a099da10c6040567c0711b6caa2cc634e503c64951fd1b5dfa15ec3", "generator_version": "3.0"}
{"id": "v3_val_00000855", "prompt": "Compute: -1 / (-74) * 31", "solution_steps": ["Divide: -1 / (-74) = 1/74", "Multiply: (1/74) * 31 = 31/74"], "final_answer": "31/74", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-74) * 31", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -74, \"c\": 31}", "seed": "6517346960129205441", "semantic_fingerprint": "sha256:867e202ce0c52df1ce897a2be0be81240051ae0fe1ad95e200b5f0eace86a65e", "generator_version": "3.0"}
{"id": "v3_val_00000856", "prompt": "Find x: -5(x + 8) + 389 = -7(x - 49)", "solution_steps": ["Expand: -5x - 40 + 389 = -7(x - 49)", "Expand: -5x - 40 + 389 = -7x + 343", "Combine constants: -5x + 349 = -7x + 343", "Add 7x to both sides: 2x + 349 = 343", "Subtract 349 from both sides: 2x = -6", "Divide both sides by 2: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 8) + 389 = -7(x - 49)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 8, \"c\": -7, \"d\": 49, \"f\": 389, \"x\": -3}", "seed": "6634240293333695578", "semantic_fingerprint": "sha256:b92a78a77c77983f91658601d53b829b12840ec7f3c14a997e616a5b1d4856fc", "generator_version": "3.0"}
{"id": "v3_val_00000857", "prompt": "What is (7 * (-11) + (-392)) / (-43 + 718)?", "solution_steps": ["Multiply: 7 * (-11) = -77", "Add: -77 + (-392) = -469", "Add: -43 + 718 = 675", "Divide: -469 / 675 = -469/675"], "final_answer": "-469/675", "answer_type": "rational", "kind": "expression", "math_text": "(7 * (-11) + (-392)) / (-43 + 718)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -11, \"c\": -392, \"d\": -43, \"e\": 718}", "seed": "5787878335864601357", "semantic_fingerprint": "sha256:99ccbb3bd00280f158be5a7066e3bc083347b1f9f6d54ee5c3b9726fc9727d2a", "generator_version": "3.0"}
{"id": "v3_val_00000858", "prompt": "Calculate: 7 / (519 * (-6) - (-40))", "solution_steps": ["Multiply: 519 * (-6) = -3114", "Subtract: -3114 - (-40) = -3074", "Divide: 7 / (-3074) = -7/3074"], "final_answer": "-7/3074", "answer_type": "rational", "kind": "expression", "math_text": "7 / (519 * (-6) - (-40))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 519, \"c\": -6, \"d\": -40}", "seed": "12379863110460314368", "semantic_fingerprint": "sha256:9d0d34642c093d258235f533390f0ceddbcadd4e81fd2c3c3a411a49226be36d", "generator_version": "3.0"}
{"id": "v3_val_00000859", "prompt": "Find x: x + 73 = 11(x + 4) - 77", "solution_steps": ["Expand: x + 73 = 11x + 44 - 77", "Combine constants: x + 73 = 11x - 33", "Subtract 11x from both sides: -10x + 73 = -33", "Subtract 73 from both sides: -10x = -106", "Divide both sides by -10: x = 53/5"], "final_answer": "53/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 73 = 11(x + 4) - 77", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 11, \"c\": 4, \"d\": 77}", "seed": "10766631077740472897", "semantic_fingerprint": "sha256:1e18a6d3e9e8fedb88dcdbcd9e1d50752a342ee5d3c82be69df12fd79eacd524", "generator_version": "3.0"}
{"id": "v3_val_00000860", "prompt": "Evaluate: 14 / (-31 / 5) - (-238)", "solution_steps": ["Divide: -31 / 5 = -31/5", "Divide: 14 / (-31/5) = -70/31", "Subtract: -70/31 - (-238) = 7308/31"], "final_answer": "7308/31", "answer_type": "rational", "kind": "expression", "math_text": "14 / (-31 / 5) - (-238)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -31, \"c\": 5, \"d\": -238}", "seed": "16121335687835924478", "semantic_fingerprint": "sha256:66976b03f031498dd1ce3ce993f9993d795ad793d954d2ca82bfe2e8d0181275", "generator_version": "3.0"}
{"id": "v3_val_00000861", "prompt": "Solve for x: x - 140 = -9x", "solution_steps": ["Add 9x to 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 = -9x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"c\": -140, \"x\": 14}", "seed": "17866319917959718669", "semantic_fingerprint": "sha256:6e9d0d6c7d461f09314d5788dd9220d2cfa29dde4ff83c2ccf727bd8d2c2bb84", "generator_version": "3.0"}
{"id": "v3_val_00000862", "prompt": "Evaluate: -823 * 42", "solution_steps": ["Multiply: -823 * 42 = -34566"], "final_answer": "-34566", "answer_type": "integer", "kind": "expression", "math_text": "-823 * 42", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -823, \"b\": 42}", "seed": "5595266312395093019", "semantic_fingerprint": "sha256:a3353adb62fa78225adaed51d35a049058240d58a71094af0fc5a5667a4ae2e9", "generator_version": "3.0"}
{"id": "v3_val_00000863", "prompt": "Compute: 97 - 97 * 58", "solution_steps": ["Multiply: 97 * 58 = 5626", "Subtract: 97 - 5626 = -5529"], "final_answer": "-5529", "answer_type": "integer", "kind": "expression", "math_text": "97 - 97 * 58", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 97, \"c\": 58}", "seed": "5181310842060429529", "semantic_fingerprint": "sha256:76b8a649fa17bd12258a15575a8d4069bb04c9839c7f4574f3f088a6ba3c7b15", "generator_version": "3.0"}
{"id": "v3_val_00000864", "prompt": "Evaluate: 47 - (-24)", "solution_steps": ["Subtract: 47 - (-24) = 71"], "final_answer": "71", "answer_type": "integer", "kind": "expression", "math_text": "47 - (-24)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -24}", "seed": "18292203099119601680", "semantic_fingerprint": "sha256:35c19f5c9054e01e8f91c8285eb66067148a357442939c7c1890004987a387df", "generator_version": "3.0"}
{"id": "v3_val_00000865", "prompt": "Find x: 2(x - 8) = x", "solution_steps": ["Expand: 2x - 16 = x", "Subtract x from both sides: x - 16 = 0", "Add 16 to both sides: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 8) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8}", "seed": "7667235439512133295", "semantic_fingerprint": "sha256:e0a128879091e7bf4482c947e7281967b5bf933a9b37cb79dfb3818366948770", "generator_version": "3.0"}
{"id": "v3_val_00000866", "prompt": "Find x: 5(x - 4) = x - 100", "solution_steps": ["Expand: 5x - 20 = x - 100", "Subtract x from both sides: 4x - 20 = -100", "Add 20 to both sides: 4x = -80", "Divide both sides by 4: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 4) = x - 100", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"d\": -100, \"x\": -20}", "seed": "12048275473403700257", "semantic_fingerprint": "sha256:21f2cbb839d2e92fc917e5e0594b051f8709ca6fe1fd65f677453c4143d05c92", "generator_version": "3.0"}
{"id": "v3_val_00000867", "prompt": "Evaluate: (-25 - (-2)) * 36", "solution_steps": ["Subtract: -25 - (-2) = -23", "Multiply: -23 * 36 = -828"], "final_answer": "-828", "answer_type": "integer", "kind": "expression", "math_text": "(-25 - (-2)) * 36", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -2, \"c\": 36}", "seed": "15894179326376129251", "semantic_fingerprint": "sha256:0cec5a690683e519145a82c1bf9c9b73da0f24bb224f562407594f03b55d53f8", "generator_version": "3.0"}
{"id": "v3_val_00000868", "prompt": "Evaluate: 650 / (1 / 1) - (-24)", "solution_steps": ["Divide: 1 / 1 = 1", "Divide: 650 / 1 = 650", "Subtract: 650 - (-24) = 674"], "final_answer": "674", "answer_type": "integer", "kind": "expression", "math_text": "650 / (1 / 1) - (-24)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 650, \"b\": 1, \"c\": 1, \"d\": -24}", "seed": "8675618317931044129", "semantic_fingerprint": "sha256:efefb4e0835cbc70aaaae247f941b4209d08055da4dfa1da239730e07bf19bd4", "generator_version": "3.0"}
{"id": "v3_val_00000869", "prompt": "Solve the equation x + 205 = 2(x - 22) + 263 for x.", "solution_steps": ["Expand: x + 205 = 2x - 44 + 263", "Combine constants: x + 205 = 2x + 219", "Subtract 2x from both sides: -x + 205 = 219", "Subtract 205 from both sides: -x = 14", "Divide both sides by -1: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 205 = 2(x - 22) + 263", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 205, \"b\": 2, \"c\": 22, \"e\": 263, \"x\": -14}", "seed": "6740834921501858284", "semantic_fingerprint": "sha256:ef82f6ab62b22e9a18d451433633a444b3e385b21ed91a2ba785f197f6890007", "generator_version": "3.0"}
{"id": "v3_val_00000870", "prompt": "What value of x satisfies x = -5(x - 8)?", "solution_steps": ["Expand: x = -5x + 40", "Add 5x to both sides: 6x = 40", "Divide both sides by 6: x = 20/3"], "final_answer": "20/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -5(x - 8)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 8}", "seed": "17015551259453757229", "semantic_fingerprint": "sha256:acc7c3ac894d19c9d30c34a1c0f5eb9f41b24bd96351c9a83402b4f72124af01", "generator_version": "3.0"}
{"id": "v3_val_00000871", "prompt": "Find x: x + 100 = 6x", "solution_steps": ["Subtract 6x from both sides: -5x + 100 = 0", "Subtract 100 from both sides: -5x = -100", "Divide both sides by -5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 100 = 6x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": 100, \"x\": 20}", "seed": "10371564316334105073", "semantic_fingerprint": "sha256:951d3dee447fbf831bb6910f48b743c3964f9c4bb90fe1d4eca20d9cbbaa410a", "generator_version": "3.0"}
{"id": "v3_val_00000872", "prompt": "Calculate: (6 / (-4 + 2 + 228) + (-9)) / 48", "solution_steps": ["Add: -4 + 2 = -2", "Add: -2 + 228 = 226", "Divide: 6 / 226 = 3/113", "Add: 3/113 + (-9) = -1014/113", "Divide: (-1014/113) / 48 = -169/904"], "final_answer": "-169/904", "answer_type": "rational", "kind": "expression", "math_text": "(6 / (-4 + 2 + 228) + (-9)) / 48", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n (+ (+ n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -4, \"c\": 2, \"d\": 228, \"e\": -9, \"f\": 48}", "seed": "4307177242939253547", "semantic_fingerprint": "sha256:3f402009da745bbd050d17cbf921bc944ca6c0f2b2113ac169ea38992ebce3c2", "generator_version": "3.0"}
{"id": "v3_val_00000873", "prompt": "Compute: 2 / (-68) / (-22 + (-5))", "solution_steps": ["Divide: 2 / (-68) = -1/34", "Add: -22 + (-5) = -27", "Divide: (-1/34) / (-27) = 1/918"], "final_answer": "1/918", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-68) / (-22 + (-5))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -68, \"c\": -22, \"d\": -5}", "seed": "9345500826382306283", "semantic_fingerprint": "sha256:36f7259ec709f8483b3d650286a5a94cc794aa9b14bbd69346444ead46bc41ea", "generator_version": "3.0"}
{"id": "v3_val_00000874", "prompt": "Solve for x: -11x - 618 = 4(x - 1) - 854", "solution_steps": ["Expand: -11x - 618 = 4x - 4 - 854", "Combine constants: -11x - 618 = 4x - 858", "Subtract 4x from both sides: -15x - 618 = -858", "Add 618 to both sides: -15x = -240", "Divide both sides by -15: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 618 = 4(x - 1) - 854", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 618, \"c\": 4, \"d\": 1, \"f\": -854, \"x\": 16}", "seed": "2026831988275358417", "semantic_fingerprint": "sha256:9c0af3bac7a9937c3f2eb16078663817affe1d6c23b7f71e45d58448dd6b0cf7", "generator_version": "3.0"}
{"id": "v3_val_00000875", "prompt": "Find x: 8x + 27 = 6(x + 76) - 455", "solution_steps": ["Expand: 8x + 27 = 6x + 456 - 455", "Combine constants: 8x + 27 = 6x + 1", "Subtract 6x from both sides: 2x + 27 = 1", "Subtract 27 from both sides: 2x = -26", "Divide both sides by 2: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 27 = 6(x + 76) - 455", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 27, \"c\": 6, \"d\": 76, \"f\": -455, \"x\": -13}", "seed": "11621664589820562264", "semantic_fingerprint": "sha256:1a0aa8d49c802b95fa1855c63c8b0a0258401a1a031ff0b89532f498ed10c93b", "generator_version": "3.0"}
{"id": "v3_val_00000876", "prompt": "Evaluate: -211 / (-1) + (-3)", "solution_steps": ["Divide: -211 / (-1) = 211", "Add: 211 + (-3) = 208"], "final_answer": "208", "answer_type": "integer", "kind": "expression", "math_text": "-211 / (-1) + (-3)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -211, \"b\": -1, \"c\": -3}", "seed": "10250580847388222357", "semantic_fingerprint": "sha256:c3be43e5ed3e77efb882c2a7c31f3745b2b9d742d11ec349f527d77cea62325c", "generator_version": "3.0"}
{"id": "v3_val_00000877", "prompt": "Solve the equation 3(x + 62) - 6 = 10(x - 51) - 88 for x.", "solution_steps": ["Expand: 3x + 186 - 6 = 10(x - 51) - 88", "Expand: 3x + 186 - 6 = 10x - 510 - 88", "Combine constants: 3x + 180 = 10x - 510 - 88", "Combine constants: 3x + 180 = 10x - 598", "Subtract 10x from both sides: -7x + 180 = -598", "Subtract 180 from both sides: -7x = -778", "Divide both sides by -7: x = 778/7"], "final_answer": "778/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 62) - 6 = 10(x - 51) - 88", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 62, \"c\": 6, \"d\": 10, \"e\": 51, \"f\": 88}", "seed": "3142934456495305476", "semantic_fingerprint": "sha256:565e243682669c298f5d9888d660683f23c936b23ef053e365f99b8238a4cc4b", "generator_version": "3.0"}
{"id": "v3_val_00000878", "prompt": "Compute: (782 + (-51) * 22 * 61) / 7 + 0", "solution_steps": ["Multiply: -51 * 22 = -1122", "Multiply: -1122 * 61 = -68442", "Add: 782 + (-68442) = -67660", "Divide: -67660 / 7 = -67660/7", "Add: -67660/7 + 0 = -67660/7"], "final_answer": "-67660/7", "answer_type": "rational", "kind": "expression", "math_text": "(782 + (-51) * 22 * 61) / 7 + 0", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n (* (* n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 782, \"b\": -51, \"c\": 22, \"d\": 61, \"e\": 7, \"f\": 0}", "seed": "11408250987491897365", "semantic_fingerprint": "sha256:0251ebbb68638e0e4ce29ab83ebe17e00cd700b9714599c7a66d155a323084b3", "generator_version": "3.0"}
{"id": "v3_val_00000879", "prompt": "Find x: x - 21 = 8(x - 6) - 215", "solution_steps": ["Expand: x - 21 = 8x - 48 - 215", "Combine constants: x - 21 = 8x - 263", "Subtract 8x from both sides: -7x - 21 = -263", "Add 21 to both sides: -7x = -242", "Divide both sides by -7: x = 242/7"], "final_answer": "242/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 21 = 8(x - 6) - 215", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 8, \"c\": 6, \"d\": 215}", "seed": "18218628060850452252", "semantic_fingerprint": "sha256:38718aa70bc6474c018871ffb4808b67bd304b43f4842d622d405475938a9ed8", "generator_version": "3.0"}
{"id": "v3_val_00000880", "prompt": "Compute: -13 / (-26 * (-94)) * (-8 * (-22) - 68)", "solution_steps": ["Multiply: -26 * (-94) = 2444", "Divide: -13 / 2444 = -1/188", "Multiply: -8 * (-22) = 176", "Subtract: 176 - 68 = 108", "Multiply: (-1/188) * 108 = -27/47"], "final_answer": "-27/47", "answer_type": "rational", "kind": "expression", "math_text": "-13 / (-26 * (-94)) * (-8 * (-22) - 68)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (* n n)) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -26, \"c\": -94, \"d\": -8, \"e\": -22, \"f\": 68}", "seed": "10608048691348221872", "semantic_fingerprint": "sha256:e36bcc99c1392b5b3f35a07cec7accd7b83a636efd24ff24959a89b0bf17089a", "generator_version": "3.0"}
{"id": "v3_val_00000881", "prompt": "Solve for x: 3(x + 28) + 5 = 32", "solution_steps": ["Expand: 3x + 84 + 5 = 32", "Combine constants: 3x + 89 = 32", "Subtract 89 from both sides: 3x = -57", "Divide both sides by 3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 28) + 5 = 32", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 28, \"c\": 5, \"e\": 32, \"x\": -19}", "seed": "18336840693423159980", "semantic_fingerprint": "sha256:3765b555fd37ef9e8cb12b27b0273a3c11db13f56c3302def303559dfe4556cd", "generator_version": "3.0"}
{"id": "v3_val_00000882", "prompt": "What value of x satisfies 11(x + 5) - 175 = 3x?", "solution_steps": ["Expand: 11x + 55 - 175 = 3x", "Combine constants: 11x - 120 = 3x", "Subtract 3x from both sides: 8x - 120 = 0", "Add 120 to both sides: 8x = 120", "Divide both sides by 8: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 5) - 175 = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 3, \"e\": -175, \"x\": 15}", "seed": "1359230041605851176", "semantic_fingerprint": "sha256:8e04a0942162daa8f188f82d80356959a229675eca6ce9ba39883d855dd0f702", "generator_version": "3.0"}
{"id": "v3_val_00000883", "prompt": "Solve the equation 5(x + 63) - 8 = 6x + 295 for x.", "solution_steps": ["Expand: 5x + 315 - 8 = 6x + 295", "Combine constants: 5x + 307 = 6x + 295", "Subtract 6x from both sides: -x + 307 = 295", "Subtract 307 from both sides: -x = -12", "Divide both sides by -1: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 63) - 8 = 6x + 295", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 63, \"c\": 8, \"d\": 6, \"f\": 295, \"x\": 12}", "seed": "10129181447251684011", "semantic_fingerprint": "sha256:fa82dee9d3f9e52013baa712e452df9695662c3796a14d1266319cd5cf2c7bf6", "generator_version": "3.0"}
{"id": "v3_val_00000884", "prompt": "Calculate: -306 + (-63 + (-362) + 0)", "solution_steps": ["Add: -63 + (-362) = -425", "Add: -425 + 0 = -425", "Add: -306 + (-425) = -731"], "final_answer": "-731", "answer_type": "integer", "kind": "expression", "math_text": "-306 + (-63 + (-362) + 0)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -306, \"b\": -63, \"c\": -362, \"d\": 0}", "seed": "4313103373307080763", "semantic_fingerprint": "sha256:e06b0268a6c91742984cc5fb5d55b0ab6fbfdbdd244a9646e3c4630e887db015", "generator_version": "3.0"}
{"id": "v3_val_00000885", "prompt": "Evaluate: -46 / (-13) / (-369 - 1)", "solution_steps": ["Divide: -46 / (-13) = 46/13", "Subtract: -369 - 1 = -370", "Divide: (46/13) / (-370) = -23/2405"], "final_answer": "-23/2405", "answer_type": "rational", "kind": "expression", "math_text": "-46 / (-13) / (-369 - 1)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -13, \"c\": -369, \"d\": 1}", "seed": "2080847810923651449", "semantic_fingerprint": "sha256:68a8a038d62782a2cbd4196bb4f5721c1b04a94d537eecd519dfb454a8a1191e", "generator_version": "3.0"}
{"id": "v3_val_00000886", "prompt": "Calculate: -6 / 43 - 713", "solution_steps": ["Divide: -6 / 43 = -6/43", "Subtract: -6/43 - 713 = -30665/43"], "final_answer": "-30665/43", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 43 - 713", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 43, \"c\": 713}", "seed": "7511528562857072267", "semantic_fingerprint": "sha256:fefdd9846456d3bfd90839d19bfb5301a6bf4e2ef32cb94b0b6fa5557b964cdf", "generator_version": "3.0"}
{"id": "v3_val_00000887", "prompt": "Evaluate: -55 - 4 * (-231)", "solution_steps": ["Multiply: 4 * (-231) = -924", "Subtract: -55 - (-924) = 869"], "final_answer": "869", "answer_type": "integer", "kind": "expression", "math_text": "-55 - 4 * (-231)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 4, \"c\": -231}", "seed": "6819165162805612435", "semantic_fingerprint": "sha256:31ea7d538268d7b2a183746c6c18f34ef8f6d26045f15bcf610de2b89e9f3c08", "generator_version": "3.0"}
{"id": "v3_val_00000888", "prompt": "What is 2 - 5 + (-16)?", "solution_steps": ["Subtract: 2 - 5 = -3", "Add: -3 + (-16) = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "2 - 5 + (-16)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": -16}", "seed": "11817878126082547895", "semantic_fingerprint": "sha256:ef4f25a9030e981af3e733a6b7201ad601c6ad6d9d085ca6ceb96e7da63ccd01", "generator_version": "3.0"}
{"id": "v3_val_00000889", "prompt": "What is 5 / (-41)?", "solution_steps": ["Divide: 5 / (-41) = -5/41"], "final_answer": "-5/41", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-41)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -41}", "seed": "11672390369574288661", "semantic_fingerprint": "sha256:625127840e4e3b2f8d50c5579eb2c656ed2fc43de4f8768fa0562c8071f3b4c0", "generator_version": "3.0"}
{"id": "v3_val_00000890", "prompt": "What is (-57 - 42) * (-31 * (-45)) + (0 - 894)?", "solution_steps": ["Subtract: -57 - 42 = -99", "Multiply: -31 * (-45) = 1395", "Multiply: -99 * 1395 = -138105", "Subtract: 0 - 894 = -894", "Add: -138105 + (-894) = -138999"], "final_answer": "-138999", "answer_type": "integer", "kind": "expression", "math_text": "(-57 - 42) * (-31 * (-45)) + (0 - 894)", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n n) (* n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 42, \"c\": -31, \"d\": -45, \"e\": 0, \"f\": 894}", "seed": "601797532304966281", "semantic_fingerprint": "sha256:525733d32a54ab087b3f832049729fefebde734d8848d0fce19444b3520d79fb", "generator_version": "3.0"}
{"id": "v3_val_00000891", "prompt": "What value of x satisfies -7(x + 65) + 25 = 8x - 190?", "solution_steps": ["Expand: -7x - 455 + 25 = 8x - 190", "Combine constants: -7x - 430 = 8x - 190", "Subtract 8x from both sides: -15x - 430 = -190", "Add 430 to both sides: -15x = 240", "Divide both sides by -15: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 65) + 25 = 8x - 190", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 65, \"c\": 25, \"d\": 8, \"f\": -190, \"x\": -16}", "seed": "9841203313785602280", "semantic_fingerprint": "sha256:ac4a698d77807e852262267429c8506102cfcb77bfcd5efb2711b491b843f3f8", "generator_version": "3.0"}
{"id": "v3_val_00000892", "prompt": "What is 751 + 71 * 2?", "solution_steps": ["Multiply: 71 * 2 = 142", "Add: 751 + 142 = 893"], "final_answer": "893", "answer_type": "integer", "kind": "expression", "math_text": "751 + 71 * 2", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 751, \"b\": 71, \"c\": 2}", "seed": "9581291924003917932", "semantic_fingerprint": "sha256:ab1f61428e5cfeba5e40932c0d62b69c6080dd5ab3bd87c48a759e3ee6e0c0b4", "generator_version": "3.0"}
{"id": "v3_val_00000893", "prompt": "What value of x satisfies 6(x - 9) = 12(x - 68) + 744?", "solution_steps": ["Expand: 6x - 54 = 12(x - 68) + 744", "Expand: 6x - 54 = 12x - 816 + 744", "Combine constants: 6x - 54 = 12x - 72", "Subtract 12x from both sides: -6x - 54 = -72", "Add 54 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 - 9) = 12(x - 68) + 744", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 12, \"d\": 68, \"f\": 744, \"x\": 3}", "seed": "14692612234369021059", "semantic_fingerprint": "sha256:82fb26bfd8f7ef502e419546bf4b73d3a463b4d0a02543680e6b2d95ed308578", "generator_version": "3.0"}
{"id": "v3_val_00000894", "prompt": "Calculate: -9 - (-14) / (-29 - (-6))", "solution_steps": ["Subtract: -29 - (-6) = -23", "Divide: -14 / (-23) = 14/23", "Subtract: -9 - 14/23 = -221/23"], "final_answer": "-221/23", "answer_type": "rational", "kind": "expression", "math_text": "-9 - (-14) / (-29 - (-6))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -14, \"c\": -29, \"d\": -6}", "seed": "6467846430797800170", "semantic_fingerprint": "sha256:f4970ce5f998829f7e2219e094515f522aa73d4a8a60376090ba81adff68eb7c", "generator_version": "3.0"}
{"id": "v3_val_00000895", "prompt": "Evaluate: (16 - 0) * 610 / 58", "solution_steps": ["Subtract: 16 - 0 = 16", "Multiply: 16 * 610 = 9760", "Divide: 9760 / 58 = 4880/29"], "final_answer": "4880/29", "answer_type": "rational", "kind": "expression", "math_text": "(16 - 0) * 610 / 58", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 0, \"c\": 610, \"d\": 58}", "seed": "4311197856312603711", "semantic_fingerprint": "sha256:653688b1a686f0473fc84385bf7224850e45cc1bb0c16cde658203e234c79c18", "generator_version": "3.0"}
{"id": "v3_val_00000896", "prompt": "Solve the equation 10(x - 9) = x + 63 for x.", "solution_steps": ["Expand: 10x - 90 = x + 63", "Subtract x from both sides: 9x - 90 = 63", "Add 90 to both sides: 9x = 153", "Divide both sides by 9: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 9) = x + 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"d\": 63, \"x\": 17}", "seed": "7788593734959543733", "semantic_fingerprint": "sha256:6b3602153c66a47b1409e43bc32d2d141373864aa299086154772532541bcf8d", "generator_version": "3.0"}
{"id": "v3_val_00000897", "prompt": "What value of x satisfies 6x = 4x?", "solution_steps": ["Subtract 4x from both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 4x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4}", "seed": "15320730485071310514", "semantic_fingerprint": "sha256:9ca78dace56085a6cd0341cdfab6cd0ea83553d13b82cf87a0c89ddecf33ed40", "generator_version": "3.0"}
{"id": "v3_val_00000898", "prompt": "Compute: -966 + (-5) / 50", "solution_steps": ["Divide: -5 / 50 = -1/10", "Add: -966 + (-1/10) = -9661/10"], "final_answer": "-9661/10", "answer_type": "rational", "kind": "expression", "math_text": "-966 + (-5) / 50", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -966, \"b\": -5, \"c\": 50}", "seed": "2727894031850056576", "semantic_fingerprint": "sha256:0d21573ecba4261efcb4e7b15d24dbbc06412916d681c3c236a66cfce5ec8d8d", "generator_version": "3.0"}
{"id": "v3_val_00000899", "prompt": "Compute: 385 + 754 / (-29 / 677)", "solution_steps": ["Divide: -29 / 677 = -29/677", "Divide: 754 / (-29/677) = -17602", "Add: 385 + (-17602) = -17217"], "final_answer": "-17217", "answer_type": "integer", "kind": "expression", "math_text": "385 + 754 / (-29 / 677)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 385, \"b\": 754, \"c\": -29, \"d\": 677}", "seed": "4690103060076306319", "semantic_fingerprint": "sha256:860e5e648ca143a656a5c5cc92e113b7160aabc83337f52d2ab81a36223cd6e4", "generator_version": "3.0"}
{"id": "v3_val_00000900", "prompt": "Calculate: -4 + 625 + (10 + 0 - 74)", "solution_steps": ["Add: -4 + 625 = 621", "Add: 10 + 0 = 10", "Subtract: 10 - 74 = -64", "Add: 621 + (-64) = 557"], "final_answer": "557", "answer_type": "integer", "kind": "expression", "math_text": "-4 + 625 + (10 + 0 - 74)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 625, \"c\": 10, \"d\": 0, \"e\": 74}", "seed": "16914723481205661597", "semantic_fingerprint": "sha256:297dc87f00ca749f2812fa0b0a95d2ee50f59fd5d27bc315a5828bc977e6c3f3", "generator_version": "3.0"}
{"id": "v3_val_00000901", "prompt": "Compute: 5 / (-18)", "solution_steps": ["Divide: 5 / (-18) = -5/18"], "final_answer": "-5/18", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-18)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -18}", "seed": "6885728667938301167", "semantic_fingerprint": "sha256:f8bf81ce8219fb416a3ac222b3596deef94c958cb9e03ae7caadc0194a902850", "generator_version": "3.0"}
{"id": "v3_val_00000902", "prompt": "Solve the equation -5x + 120 = x for x.", "solution_steps": ["Subtract x from both sides: -6x + 120 = 0", "Subtract 120 from both sides: -6x = -120", "Divide both sides by -6: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 120 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"c\": 120, \"x\": 20}", "seed": "4074198459771760376", "semantic_fingerprint": "sha256:d55a7f1aae4646872eb167d7c2f43445636408a635774682ce8d2f99baad04a7", "generator_version": "3.0"}
{"id": "v3_val_00000903", "prompt": "Find x: 9(x - 502) = -6(x + 341)", "solution_steps": ["Expand: 9x - 4518 = -6(x + 341)", "Expand: 9x - 4518 = -6x - 2046", "Add 6x to both sides: 15x - 4518 = -2046", "Add 4518 to both sides: 15x = 2472", "Divide both sides by 15: x = 824/5"], "final_answer": "824/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 502) = -6(x + 341)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 502, \"c\": -6, \"d\": 341}", "seed": "12522205053446703156", "semantic_fingerprint": "sha256:587284ddbb731139e9a72710c13aeea6bf029de3a77ab4a01bea71f815cd53d0", "generator_version": "3.0"}
{"id": "v3_val_00000904", "prompt": "Compute: 3 - (-2) + 24", "solution_steps": ["Subtract: 3 - (-2) = 5", "Add: 5 + 24 = 29"], "final_answer": "29", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-2) + 24", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -2, \"c\": 24}", "seed": "11028705592687639168", "semantic_fingerprint": "sha256:43a52ffbd8f03dfd6905aa9b9d3d97a36322f30081572762bce418a3391e6c79", "generator_version": "3.0"}
{"id": "v3_val_00000905", "prompt": "Evaluate: -50 - (-65) + (39 - 21)", "solution_steps": ["Subtract: -50 - (-65) = 15", "Subtract: 39 - 21 = 18", "Add: 15 + 18 = 33"], "final_answer": "33", "answer_type": "integer", "kind": "expression", "math_text": "-50 - (-65) + (39 - 21)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -65, \"c\": 39, \"d\": 21}", "seed": "15931380562607651471", "semantic_fingerprint": "sha256:68c8ea5ce63792607e9176cbea41de2fa5df72447a79441b13a02ca6af539427", "generator_version": "3.0"}
{"id": "v3_val_00000906", "prompt": "What value of x satisfies 8(x - 3) - 51 = -9(x + 58)?", "solution_steps": ["Expand: 8x - 24 - 51 = -9(x + 58)", "Expand: 8x - 24 - 51 = -9x - 522", "Combine constants: 8x - 75 = -9x - 522", "Add 9x to both sides: 17x - 75 = -522", "Add 75 to both sides: 17x = -447", "Divide both sides by 17: x = -447/17"], "final_answer": "-447/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 3) - 51 = -9(x + 58)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 51, \"d\": -9, \"e\": 58}", "seed": "3397883687605811471", "semantic_fingerprint": "sha256:69441fb261f50858bba754fdae09a0e65b3b86fecc7f7b905b1cbc156da79abe", "generator_version": "3.0"}
{"id": "v3_val_00000907", "prompt": "Compute: 80 - (-770) + 619", "solution_steps": ["Subtract: 80 - (-770) = 850", "Add: 850 + 619 = 1469"], "final_answer": "1469", "answer_type": "integer", "kind": "expression", "math_text": "80 - (-770) + 619", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -770, \"c\": 619}", "seed": "11754144997782344325", "semantic_fingerprint": "sha256:76ce30902231a151d27284e0bb69ff251804def486544614f87fccf038e6a368", "generator_version": "3.0"}
{"id": "v3_val_00000908", "prompt": "Solve the equation 3x = -2(x + 9) for x.", "solution_steps": ["Expand: 3x = -2x - 18", "Add 2x to both sides: 5x = -18", "Divide both sides by 5: x = -18/5"], "final_answer": "-18/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = -2(x + 9)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -2, \"c\": 9}", "seed": "6685843116645740899", "semantic_fingerprint": "sha256:a86cfdcaa388ed110bc40aa4a962a5a303b801fbfe72329622f5f749148caf79", "generator_version": "3.0"}
{"id": "v3_val_00000909", "prompt": "What is -6 / (70 - 9 / (-6))?", "solution_steps": ["Divide: 9 / (-6) = -3/2", "Subtract: 70 - (-3/2) = 143/2", "Divide: -6 / (143/2) = -12/143"], "final_answer": "-12/143", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (70 - 9 / (-6))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 70, \"c\": 9, \"d\": -6}", "seed": "14707450444235834444", "semantic_fingerprint": "sha256:0bcdfff7a3acc8c84a6e4b1061d7336ec01ecd0382d07ced1eec9324642dcc1c", "generator_version": "3.0"}
{"id": "v3_val_00000910", "prompt": "Compute: 0 * 132 - 480", "solution_steps": ["Multiply: 0 * 132 = 0", "Subtract: 0 - 480 = -480"], "final_answer": "-480", "answer_type": "integer", "kind": "expression", "math_text": "0 * 132 - 480", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 132, \"c\": 480}", "seed": "11795838992871355023", "semantic_fingerprint": "sha256:44a72d3eb8fe83c1ad09ea495088c6b5ec72efeb482adfe76f04c98adf34a1c3", "generator_version": "3.0"}
{"id": "v3_val_00000911", "prompt": "Solve the equation -7(x + 58) = 4(x + 4) for x.", "solution_steps": ["Expand: -7x - 406 = 4(x + 4)", "Expand: -7x - 406 = 4x + 16", "Subtract 4x from both sides: -11x - 406 = 16", "Add 406 to both sides: -11x = 422", "Divide both sides by -11: x = -422/11"], "final_answer": "-422/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 58) = 4(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 58, \"c\": 4, \"d\": 4}", "seed": "2063681128347442085", "semantic_fingerprint": "sha256:dcef31c32f5739d536e44d79c798913b9e58f409f0696f694077a5c7c976d1c9", "generator_version": "3.0"}
{"id": "v3_val_00000912", "prompt": "Solve for x: 11(x + 30) + 25 = 2(x + 5) + 318", "solution_steps": ["Expand: 11x + 330 + 25 = 2(x + 5) + 318", "Expand: 11x + 330 + 25 = 2x + 10 + 318", "Combine constants: 11x + 355 = 2x + 10 + 318", "Combine constants: 11x + 355 = 2x + 328", "Subtract 2x from both sides: 9x + 355 = 328", "Subtract 355 from both sides: 9x = -27", "Divide both sides by 9: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 30) + 25 = 2(x + 5) + 318", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 30, \"c\": 25, \"d\": 2, \"e\": 5, \"g\": 318, \"x\": -3}", "seed": "15880614732668565921", "semantic_fingerprint": "sha256:9ef2c521a609c234e61e18174a00aba5b4b4c3aaf04a902631ba404b1689073c", "generator_version": "3.0"}
{"id": "v3_val_00000913", "prompt": "Compute: -9 / (675 / (-142)) / (-68)", "solution_steps": ["Divide: 675 / (-142) = -675/142", "Divide: -9 / (-675/142) = 142/75", "Divide: (142/75) / (-68) = -71/2550"], "final_answer": "-71/2550", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (675 / (-142)) / (-68)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 675, \"c\": -142, \"d\": -68}", "seed": "14787804860928560679", "semantic_fingerprint": "sha256:3058c4e5df151281d08609c88d478e7553ecbcd095307c73c0410a0a75e67a65", "generator_version": "3.0"}
{"id": "v3_val_00000914", "prompt": "Calculate: -227 / (-4) / (-37 - (-35))", "solution_steps": ["Divide: -227 / (-4) = 227/4", "Subtract: -37 - (-35) = -2", "Divide: (227/4) / (-2) = -227/8"], "final_answer": "-227/8", "answer_type": "rational", "kind": "expression", "math_text": "-227 / (-4) / (-37 - (-35))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -227, \"b\": -4, \"c\": -37, \"d\": -35}", "seed": "16105315715187858478", "semantic_fingerprint": "sha256:27676e94e3cbd94d6dc6f597d24a7352814ed196cec73ffdb8addd2a7ef3f53a", "generator_version": "3.0"}
{"id": "v3_val_00000915", "prompt": "Compute: 90 * (576 / (-1))", "solution_steps": ["Divide: 576 / (-1) = -576", "Multiply: 90 * (-576) = -51840"], "final_answer": "-51840", "answer_type": "integer", "kind": "expression", "math_text": "90 * (576 / (-1))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 576, \"c\": -1}", "seed": "9998926934412935419", "semantic_fingerprint": "sha256:081060ba74a56a447b59ff151f3e4f382bb0408bdc52ee376e6b13b8cf8b5535", "generator_version": "3.0"}
{"id": "v3_val_00000916", "prompt": "Compute: (3 + (-8)) * (-1)", "solution_steps": ["Add: 3 + (-8) = -5", "Multiply: -5 * (-1) = 5"], "final_answer": "5", "answer_type": "integer", "kind": "expression", "math_text": "(3 + (-8)) * (-1)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8, \"c\": -1}", "seed": "16315004457594191767", "semantic_fingerprint": "sha256:76238e1668a2f0dfcda4cedad4f5ec6558d6bb2e6303b952196097f7510056b0", "generator_version": "3.0"}
{"id": "v3_val_00000917", "prompt": "Evaluate: (1 / 94 + 2 * 1) / (413 / 20)", "solution_steps": ["Divide: 1 / 94 = 1/94", "Multiply: 2 * 1 = 2", "Add: 1/94 + 2 = 189/94", "Divide: 413 / 20 = 413/20", "Divide: (189/94) / (413/20) = 270/2773"], "final_answer": "270/2773", "answer_type": "rational", "kind": "expression", "math_text": "(1 / 94 + 2 * 1) / (413 / 20)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 94, \"c\": 2, \"d\": 1, \"e\": 413, \"f\": 20}", "seed": "14482194404415536210", "semantic_fingerprint": "sha256:28a14f10fcaaa727513522c8afb2e44c550a33d105a34dae8356acad8edbde22", "generator_version": "3.0"}
{"id": "v3_val_00000918", "prompt": "Solve the equation x + 1 = 9(x - 54) for x.", "solution_steps": ["Expand: x + 1 = 9x - 486", "Subtract 9x from both sides: -8x + 1 = -486", "Subtract 1 from both sides: -8x = -487", "Divide both sides by -8: x = 487/8"], "final_answer": "487/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1 = 9(x - 54)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 9, \"c\": 54}", "seed": "5652059750565133714", "semantic_fingerprint": "sha256:741aaa9e7982f1a76ea2c324ae11340810c127e80f94d81fa31492baac4e7272", "generator_version": "3.0"}
{"id": "v3_val_00000919", "prompt": "Compute: 9 * (-288) * (-59)", "solution_steps": ["Multiply: 9 * (-288) = -2592", "Multiply: -2592 * (-59) = 152928"], "final_answer": "152928", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-288) * (-59)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -288, \"c\": -59}", "seed": "8365985406893630387", "semantic_fingerprint": "sha256:20cccbf5c0ee42f088cceab11d27755b8cab4758d04237f32cc193b3356a8935", "generator_version": "3.0"}
{"id": "v3_val_00000920", "prompt": "Calculate: (-40 - 48) * (364 + 17)", "solution_steps": ["Subtract: -40 - 48 = -88", "Add: 364 + 17 = 381", "Multiply: -88 * 381 = -33528"], "final_answer": "-33528", "answer_type": "integer", "kind": "expression", "math_text": "(-40 - 48) * (364 + 17)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 48, \"c\": 364, \"d\": 17}", "seed": "17480662007882957838", "semantic_fingerprint": "sha256:42c388b79274e4316798c86ceb7ec7c9d18ad0c437e127657bf5f46efae04a50", "generator_version": "3.0"}
{"id": "v3_val_00000921", "prompt": "What is -10 * 29 - (-586 + 8)?", "solution_steps": ["Multiply: -10 * 29 = -290", "Add: -586 + 8 = -578", "Subtract: -290 - (-578) = 288"], "final_answer": "288", "answer_type": "integer", "kind": "expression", "math_text": "-10 * 29 - (-586 + 8)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 29, \"c\": -586, \"d\": 8}", "seed": "14654819910954606208", "semantic_fingerprint": "sha256:f855aa35557d79994aaf390509f9cd50f1a69f8a9e59b566063ee12ebf4e6e1a", "generator_version": "3.0"}
{"id": "v3_val_00000922", "prompt": "Calculate: -2 + 48 - 508", "solution_steps": ["Add: -2 + 48 = 46", "Subtract: 46 - 508 = -462"], "final_answer": "-462", "answer_type": "integer", "kind": "expression", "math_text": "-2 + 48 - 508", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 48, \"c\": 508}", "seed": "6009548947677193765", "semantic_fingerprint": "sha256:af86aa8716039fabc8234ff2ac2aa54e13e73410535397f5bd1f211f46127deb", "generator_version": "3.0"}
{"id": "v3_val_00000923", "prompt": "Evaluate: 2 - (-67 / 2 + (97 - (-27)))", "solution_steps": ["Divide: -67 / 2 = -67/2", "Subtract: 97 - (-27) = 124", "Add: -67/2 + 124 = 181/2", "Subtract: 2 - 181/2 = -177/2"], "final_answer": "-177/2", "answer_type": "rational", "kind": "expression", "math_text": "2 - (-67 / 2 + (97 - (-27)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -67, \"c\": 2, \"d\": 97, \"e\": -27}", "seed": "16875580671179596385", "semantic_fingerprint": "sha256:042af66880c0fd523baf31e0107d6b53e49447d45c8547f3383969d409bd3dc4", "generator_version": "3.0"}
{"id": "v3_val_00000924", "prompt": "Compute: -27 * (-637) / (-629) * (925 / 79)", "solution_steps": ["Multiply: -27 * (-637) = 17199", "Divide: 17199 / (-629) = -17199/629", "Divide: 925 / 79 = 925/79", "Multiply: (-17199/629) * (925/79) = -429975/1343"], "final_answer": "-429975/1343", "answer_type": "rational", "kind": "expression", "math_text": "-27 * (-637) / (-629) * (925 / 79)", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -637, \"c\": -629, \"d\": 925, \"e\": 79}", "seed": "17732837829551330060", "semantic_fingerprint": "sha256:eb760c06ebb2fde9dcf21288cddf84e073bfe3f5d951fd722649114df8243119", "generator_version": "3.0"}
{"id": "v3_val_00000925", "prompt": "What is -33 / 835?", "solution_steps": ["Divide: -33 / 835 = -33/835"], "final_answer": "-33/835", "answer_type": "rational", "kind": "expression", "math_text": "-33 / 835", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 835}", "seed": "15511543933757195398", "semantic_fingerprint": "sha256:123b6925a6ae6abd172c5b592e77893998e1e8168a977aca6d445704819393c7", "generator_version": "3.0"}
{"id": "v3_val_00000926", "prompt": "Compute: (98 - 2 + 76) / (122 + 5)", "solution_steps": ["Subtract: 98 - 2 = 96", "Add: 96 + 76 = 172", "Add: 122 + 5 = 127", "Divide: 172 / 127 = 172/127"], "final_answer": "172/127", "answer_type": "rational", "kind": "expression", "math_text": "(98 - 2 + 76) / (122 + 5)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 2, \"c\": 76, \"d\": 122, \"e\": 5}", "seed": "16928209221530385196", "semantic_fingerprint": "sha256:ab3550d2c5c8b880f940fa19ff4549db701786b51cfe0c56ae523a6c29b9243c", "generator_version": "3.0"}
{"id": "v3_val_00000927", "prompt": "What is 91 - (-8)?", "solution_steps": ["Subtract: 91 - (-8) = 99"], "final_answer": "99", "answer_type": "integer", "kind": "expression", "math_text": "91 - (-8)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -8}", "seed": "2594145414281010774", "semantic_fingerprint": "sha256:f2e49ffa02ac95911e9f2426d60aa62b8f164f7c3e0f10c006add67b15772afb", "generator_version": "3.0"}
{"id": "v3_val_00000928", "prompt": "What is -45 / (-41)?", "solution_steps": ["Divide: -45 / (-41) = 45/41"], "final_answer": "45/41", "answer_type": "rational", "kind": "expression", "math_text": "-45 / (-41)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -41}", "seed": "14308022028972707368", "semantic_fingerprint": "sha256:001ed17f4a1b7793d5a5b4c07d14c2daa0398099f0102fa773017036b77f23fc", "generator_version": "3.0"}
{"id": "v3_val_00000929", "prompt": "Compute: 754 / (-96 * 52 / (-3) - (-85))", "solution_steps": ["Multiply: -96 * 52 = -4992", "Divide: -4992 / (-3) = 1664", "Subtract: 1664 - (-85) = 1749", "Divide: 754 / 1749 = 754/1749"], "final_answer": "754/1749", "answer_type": "rational", "kind": "expression", "math_text": "754 / (-96 * 52 / (-3) - (-85))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (/ (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 754, \"b\": -96, \"c\": 52, \"d\": -3, \"e\": -85}", "seed": "6900094327075047952", "semantic_fingerprint": "sha256:003888dc077767b587b3ebf3c30a2467189eb5461281ab26f0b50d90ea51fe32", "generator_version": "3.0"}
{"id": "v3_val_00000930", "prompt": "What value of x satisfies 10x + 2 = 6(x + 488) + 74?", "solution_steps": ["Expand: 10x + 2 = 6x + 2928 + 74", "Combine constants: 10x + 2 = 6x + 3002", "Subtract 6x from both sides: 4x + 2 = 3002", "Subtract 2 from both sides: 4x = 3000", "Divide both sides by 4: x = 750"], "final_answer": "750", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 2 = 6(x + 488) + 74", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 6, \"d\": 488, \"e\": 74}", "seed": "2154968370508671442", "semantic_fingerprint": "sha256:717beafd303d2d95a95bbb4728562455f8ad015a7268df6e171c13214ca8f16a", "generator_version": "3.0"}
{"id": "v3_val_00000931", "prompt": "Calculate: 525 * (-9 / (-72)) / (-4 + (-7))", "solution_steps": ["Divide: -9 / (-72) = 1/8", "Multiply: 525 * (1/8) = 525/8", "Add: -4 + (-7) = -11", "Divide: (525/8) / (-11) = -525/88"], "final_answer": "-525/88", "answer_type": "rational", "kind": "expression", "math_text": "525 * (-9 / (-72)) / (-4 + (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 525, \"b\": -9, \"c\": -72, \"d\": -4, \"e\": -7}", "seed": "9606241187502543011", "semantic_fingerprint": "sha256:9a3239323fdc9c08e571cfb7e5d9da9691dc1dee4004b5296053bcc827cd185d", "generator_version": "3.0"}
{"id": "v3_val_00000932", "prompt": "Compute: (54 - 73) / 89 + 32", "solution_steps": ["Subtract: 54 - 73 = -19", "Divide: -19 / 89 = -19/89", "Add: -19/89 + 32 = 2829/89"], "final_answer": "2829/89", "answer_type": "rational", "kind": "expression", "math_text": "(54 - 73) / 89 + 32", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 73, \"c\": 89, \"d\": 32}", "seed": "10865015558695419652", "semantic_fingerprint": "sha256:1b32923d28a1410a7e2e7825bb08de6595950885b02cddebd555f278ed63c31b", "generator_version": "3.0"}
{"id": "v3_val_00000933", "prompt": "Evaluate: 660 * (-89) / (118 * (-8)) - (-7)", "solution_steps": ["Multiply: 660 * (-89) = -58740", "Multiply: 118 * (-8) = -944", "Divide: -58740 / (-944) = 14685/236", "Subtract: 14685/236 - (-7) = 16337/236"], "final_answer": "16337/236", "answer_type": "rational", "kind": "expression", "math_text": "660 * (-89) / (118 * (-8)) - (-7)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 660, \"b\": -89, \"c\": 118, \"d\": -8, \"e\": -7}", "seed": "6459189699423672128", "semantic_fingerprint": "sha256:d85d68605b17664dfb412e2cac71f841cc511c11b6c87979edc34670a3909bee", "generator_version": "3.0"}
{"id": "v3_val_00000934", "prompt": "Calculate: 388 / 72 / 61", "solution_steps": ["Divide: 388 / 72 = 97/18", "Divide: (97/18) / 61 = 97/1098"], "final_answer": "97/1098", "answer_type": "rational", "kind": "expression", "math_text": "388 / 72 / 61", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 388, \"b\": 72, \"c\": 61}", "seed": "16556132478068235829", "semantic_fingerprint": "sha256:7768bc13b680442977681d4da48ed3f7213a310ae6d890e1867349704f6bb30a", "generator_version": "3.0"}
{"id": "v3_val_00000935", "prompt": "Solve the equation 9(x + 52) + 68 = -7(x - 45) - 9 for x.", "solution_steps": ["Expand: 9x + 468 + 68 = -7(x - 45) - 9", "Expand: 9x + 468 + 68 = -7x + 315 - 9", "Combine constants: 9x + 536 = -7x + 315 - 9", "Combine constants: 9x + 536 = -7x + 306", "Add 7x to both sides: 16x + 536 = 306", "Subtract 536 from both sides: 16x = -230", "Divide both sides by 16: x = -115/8"], "final_answer": "-115/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 52) + 68 = -7(x - 45) - 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\": 52, \"c\": 68, \"d\": -7, \"e\": 45, \"f\": 9}", "seed": "12522082722582880555", "semantic_fingerprint": "sha256:bd64718467e7a037461d764a7db717f515b7af6b6bd99fde2ccc2050f2c6df68", "generator_version": "3.0"}
{"id": "v3_val_00000936", "prompt": "Evaluate: (1 + 7) / 3 + (-27 + (-86) - (-71))", "solution_steps": ["Add: 1 + 7 = 8", "Divide: 8 / 3 = 8/3", "Add: -27 + (-86) = -113", "Subtract: -113 - (-71) = -42", "Add: 8/3 + (-42) = -118/3"], "final_answer": "-118/3", "answer_type": "rational", "kind": "expression", "math_text": "(1 + 7) / 3 + (-27 + (-86) - (-71))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 7, \"c\": 3, \"d\": -27, \"e\": -86, \"f\": -71}", "seed": "7844549660496914374", "semantic_fingerprint": "sha256:8300f00738467c2cd07267ee9d269687b185dff01914bfd7672df5e256360aca", "generator_version": "3.0"}
{"id": "v3_val_00000937", "prompt": "Solve for x: 5(x + 71) - 14 = 11(x + 76) - 411", "solution_steps": ["Expand: 5x + 355 - 14 = 11(x + 76) - 411", "Expand: 5x + 355 - 14 = 11x + 836 - 411", "Combine constants: 5x + 341 = 11x + 836 - 411", "Combine constants: 5x + 341 = 11x + 425", "Subtract 11x from both sides: -6x + 341 = 425", "Subtract 341 from both sides: -6x = 84", "Divide both sides by -6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 71) - 14 = 11(x + 76) - 411", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 71, \"c\": 14, \"d\": 11, \"e\": 76, \"g\": -411, \"x\": -14}", "seed": "7577709707875686331", "semantic_fingerprint": "sha256:a4366a8efcd6a5e058407510814438d66653d9b3ff9db83896b41e8eac4672bd", "generator_version": "3.0"}
{"id": "v3_val_00000938", "prompt": "Compute: -827 - (-3) + 3 * 0 / 2", "solution_steps": ["Subtract: -827 - (-3) = -824", "Multiply: 3 * 0 = 0", "Divide: 0 / 2 = 0", "Add: -824 + 0 = -824"], "final_answer": "-824", "answer_type": "integer", "kind": "expression", "math_text": "-827 - (-3) + 3 * 0 / 2", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -827, \"b\": -3, \"c\": 3, \"d\": 0, \"e\": 2}", "seed": "3418032060307622069", "semantic_fingerprint": "sha256:0cda868c1eddc914df4f47f950deba646482c880ef1e11395bf910118d0dddab", "generator_version": "3.0"}
{"id": "v3_val_00000939", "prompt": "Evaluate: -4 / 25 / 778", "solution_steps": ["Divide: -4 / 25 = -4/25", "Divide: (-4/25) / 778 = -2/9725"], "final_answer": "-2/9725", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 25 / 778", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 25, \"c\": 778}", "seed": "307850730327836388", "semantic_fingerprint": "sha256:3f2544259b4f90eb386ae3a63a9f815768db2b2cf7ae7df0d9ea2512730c3c3d", "generator_version": "3.0"}
{"id": "v3_val_00000940", "prompt": "What is -7 - 829?", "solution_steps": ["Subtract: -7 - 829 = -836"], "final_answer": "-836", "answer_type": "integer", "kind": "expression", "math_text": "-7 - 829", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 829}", "seed": "18128564749704516199", "semantic_fingerprint": "sha256:c5be130174cf0c1b272770f1c36a078edaba88f7288a2f681dc0c3a1c5370658", "generator_version": "3.0"}
{"id": "v3_val_00000941", "prompt": "What value of x satisfies 8(x - 15) + 7 = -257?", "solution_steps": ["Expand: 8x - 120 + 7 = -257", "Combine constants: 8x - 113 = -257", "Add 113 to both sides: 8x = -144", "Divide both sides by 8: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 15) + 7 = -257", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 15, \"c\": 7, \"e\": -257, \"x\": -18}", "seed": "14106593943931633396", "semantic_fingerprint": "sha256:94597396a01cb6854f16b24b5583e1bde00f7a85fee11b50ad19b06933f37547", "generator_version": "3.0"}
{"id": "v3_val_00000942", "prompt": "Compute: -4 - 20", "solution_steps": ["Subtract: -4 - 20 = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "expression", "math_text": "-4 - 20", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 20}", "seed": "9995459644391158449", "semantic_fingerprint": "sha256:9de96367328baf60eb5f7afbaf0fcfd8f9540f1c5c9aa95d69d22c9726a0b416", "generator_version": "3.0"}
{"id": "v3_val_00000943", "prompt": "Find x: 3x + 4 = x", "solution_steps": ["Subtract x 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": "3x + 4 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": 4, \"x\": -2}", "seed": "16209754351083575705", "semantic_fingerprint": "sha256:07e8b76e04a451eb7219c19ea1a26e2f3815fbf797bafd07e8ad7349090216c5", "generator_version": "3.0"}
{"id": "v3_val_00000944", "prompt": "Compute: 53 * 202 / 1 / (7 + (-9) + 759)", "solution_steps": ["Multiply: 53 * 202 = 10706", "Divide: 10706 / 1 = 10706", "Add: 7 + (-9) = -2", "Add: -2 + 759 = 757", "Divide: 10706 / 757 = 10706/757"], "final_answer": "10706/757", "answer_type": "rational", "kind": "expression", "math_text": "53 * 202 / 1 / (7 + (-9) + 759)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n n) n) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 202, \"c\": 1, \"d\": 7, \"e\": -9, \"f\": 759}", "seed": "18171538642799341937", "semantic_fingerprint": "sha256:fcdf11f9a0c76b5c0b878b433db9d385572e80e24c38df9994cfe5d0aab7ca27", "generator_version": "3.0"}
{"id": "v3_val_00000945", "prompt": "Compute: (1 - (-3)) * (248 - (-709) + 14)", "solution_steps": ["Subtract: 1 - (-3) = 4", "Subtract: 248 - (-709) = 957", "Add: 957 + 14 = 971", "Multiply: 4 * 971 = 3884"], "final_answer": "3884", "answer_type": "integer", "kind": "expression", "math_text": "(1 - (-3)) * (248 - (-709) + 14)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -3, \"c\": 248, \"d\": -709, \"e\": 14}", "seed": "570692759372966521", "semantic_fingerprint": "sha256:32cf22c83ccc7ff7939bb7fb52799992e50a43966919a48c891b9ad48886f1dd", "generator_version": "3.0"}
{"id": "v3_val_00000946", "prompt": "Solve for x: 5(x + 74) = x + 426", "solution_steps": ["Expand: 5x + 370 = x + 426", "Subtract x from both sides: 4x + 370 = 426", "Subtract 370 from both sides: 4x = 56", "Divide both sides by 4: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 74) = x + 426", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 74, \"d\": 426, \"x\": 14}", "seed": "17840272903670344027", "semantic_fingerprint": "sha256:894a7e948bcd5fc0bf6c542bf00bd2ba232c49ad4ad25fada2896263239776cb", "generator_version": "3.0"}
{"id": "v3_val_00000947", "prompt": "Find x: -2x - 33 = -5x", "solution_steps": ["Add 5x to 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": "-2x - 33 = -5x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -5, \"d\": -33, \"x\": 11}", "seed": "356344966170011827", "semantic_fingerprint": "sha256:2f4a26df36d5b4eae125f9837b2e2591cb146e48ca4236e7fdf42eadf3f8d17c", "generator_version": "3.0"}
{"id": "v3_val_00000948", "prompt": "Compute: 8 * (-25) - 592 - 4", "solution_steps": ["Multiply: 8 * (-25) = -200", "Subtract: -200 - 592 = -792", "Subtract: -792 - 4 = -796"], "final_answer": "-796", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-25) - 592 - 4", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -25, \"c\": 592, \"d\": 4}", "seed": "12936682316877747572", "semantic_fingerprint": "sha256:380439e44f8a62f608cad5f0b18e61b162815fe9bb2b9993b949721da35f1a82", "generator_version": "3.0"}
{"id": "v3_val_00000949", "prompt": "Solve for x: 6x + 188 = x + 128", "solution_steps": ["Subtract x from both sides: 5x + 188 = 128", "Subtract 188 from both sides: 5x = -60", "Divide both sides by 5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 188 = x + 128", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 188, \"d\": 128, \"x\": -12}", "seed": "17655463189726538942", "semantic_fingerprint": "sha256:84dacaf9e2ade4d17ab83dad64258f962e6ff1cd7ab022e1a179feaf3686c1d0", "generator_version": "3.0"}
{"id": "v3_val_00000950", "prompt": "What is -43 / (-82 * 0 - (-893) * (-6))?", "solution_steps": ["Multiply: -82 * 0 = 0", "Multiply: -893 * (-6) = 5358", "Subtract: 0 - 5358 = -5358", "Divide: -43 / (-5358) = 43/5358"], "final_answer": "43/5358", "answer_type": "rational", "kind": "expression", "math_text": "-43 / (-82 * 0 - (-893) * (-6))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -82, \"c\": 0, \"d\": -893, \"e\": -6}", "seed": "4318333741673549147", "semantic_fingerprint": "sha256:bc267e3359be3f3d0f3d1381c1762cb50bc9e2830bb0cb91d54fc9ab03f639fa", "generator_version": "3.0"}
{"id": "v3_val_00000951", "prompt": "Solve for x: 5(x + 18) = x + 90", "solution_steps": ["Expand: 5x + 90 = x + 90", "Subtract x from both sides: 4x + 90 = 90", "Subtract 90 from both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 18) = x + 90", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 18, \"d\": 90, \"x\": 0}", "seed": "837221764195111391", "semantic_fingerprint": "sha256:f9048a10b9188e249da1f2a8b39abfd38ca90b14e4cbe40fe5f20a73b888460e", "generator_version": "3.0"}
{"id": "v3_val_00000952", "prompt": "Compute: (82 + 50 - (-415)) / (-4)", "solution_steps": ["Add: 82 + 50 = 132", "Subtract: 132 - (-415) = 547", "Divide: 547 / (-4) = -547/4"], "final_answer": "-547/4", "answer_type": "rational", "kind": "expression", "math_text": "(82 + 50 - (-415)) / (-4)", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 50, \"c\": -415, \"d\": -4}", "seed": "14773372236684058991", "semantic_fingerprint": "sha256:9e951af07a66358e1740c4311ee38a532c49c4600d8d552133fb70588932f676", "generator_version": "3.0"}
{"id": "v3_val_00000953", "prompt": "Evaluate: 0 * 320", "solution_steps": ["Multiply: 0 * 320 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 320", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 320}", "seed": "8217879174432812647", "semantic_fingerprint": "sha256:8b7dff1971456042670ade04cc68f3ae393108f0193d9c80c02a17b5778ea776", "generator_version": "3.0"}
{"id": "v3_val_00000954", "prompt": "Find x: x - 4 = -10x + 7", "solution_steps": ["Add 10x to both sides: 11x - 4 = 7", "Add 4 to both sides: 11x = 11", "Divide both sides by 11: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = -10x + 7", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -10, \"d\": 7, \"x\": 1}", "seed": "12714362417444477091", "semantic_fingerprint": "sha256:0b7dcf24f91dbe93279f91c3da227c3d65f94e0a2761dc5b33b1ebdd55cdf1bc", "generator_version": "3.0"}
{"id": "v3_val_00000955", "prompt": "Compute: 93 / (-1) + (-30) - 23", "solution_steps": ["Divide: 93 / (-1) = -93", "Add: -93 + (-30) = -123", "Subtract: -123 - 23 = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "expression", "math_text": "93 / (-1) + (-30) - 23", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -1, \"c\": -30, \"d\": 23}", "seed": "12080854510986619985", "semantic_fingerprint": "sha256:1fc016ca50a7fce47245c03f4c33428421b36f96189c8ece9002fa335c77122a", "generator_version": "3.0"}
{"id": "v3_val_00000956", "prompt": "What is -79 / (-5) - (-150 + 898) - 4 * 69?", "solution_steps": ["Divide: -79 / (-5) = 79/5", "Add: -150 + 898 = 748", "Subtract: 79/5 - 748 = -3661/5", "Multiply: 4 * 69 = 276", "Subtract: -3661/5 - 276 = -5041/5"], "final_answer": "-5041/5", "answer_type": "rational", "kind": "expression", "math_text": "-79 / (-5) - (-150 + 898) - 4 * 69", "variable": null, "family": "expression_5op", "shape": "(- (- (/ n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -5, \"c\": -150, \"d\": 898, \"e\": 4, \"f\": 69}", "seed": "18212259679075322394", "semantic_fingerprint": "sha256:b61ba1af1ea971c47891af1b67cb9931398b10df5e62977c8e679a0c7e27bc5e", "generator_version": "3.0"}
{"id": "v3_val_00000957", "prompt": "Solve for x: x - 774 = 7(x + 4) - 820", "solution_steps": ["Expand: x - 774 = 7x + 28 - 820", "Combine constants: x - 774 = 7x - 792", "Subtract 7x from both sides: -6x - 774 = -792", "Add 774 to both sides: -6x = -18", "Divide both sides by -6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 774 = 7(x + 4) - 820", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 774, \"b\": 7, \"c\": 4, \"e\": -820, \"x\": 3}", "seed": "8976148556593123606", "semantic_fingerprint": "sha256:82748e44e7f2aa9e38b8dfb1b3ebd5f8dd07f921c269f0232b86a2ef41bfe277", "generator_version": "3.0"}
{"id": "v3_val_00000958", "prompt": "Compute: 302 * (-9)", "solution_steps": ["Multiply: 302 * (-9) = -2718"], "final_answer": "-2718", "answer_type": "integer", "kind": "expression", "math_text": "302 * (-9)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 302, \"b\": -9}", "seed": "10825326409532580068", "semantic_fingerprint": "sha256:017123f282568fa319fbfab243e7cdeb21a2222d43f58b82d156b64e176e168b", "generator_version": "3.0"}
{"id": "v3_val_00000959", "prompt": "What value of x satisfies 10x = 8(x + 66)?", "solution_steps": ["Expand: 10x = 8x + 528", "Subtract 8x from both sides: 2x = 528", "Divide both sides by 2: x = 264"], "final_answer": "264", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 8(x + 66)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 66}", "seed": "17935589180604649571", "semantic_fingerprint": "sha256:e46904e8ab843f3bac6f6af2d8baffc7709d23cc0ba40a795817acd2a73d74c4", "generator_version": "3.0"}
{"id": "v3_val_00000960", "prompt": "Evaluate: 2 + (-2) * ((-86 + 11) * (-84 - (-866)))", "solution_steps": ["Add: -86 + 11 = -75", "Subtract: -84 - (-866) = 782", "Multiply: -75 * 782 = -58650", "Multiply: -2 * (-58650) = 117300", "Add: 2 + 117300 = 117302"], "final_answer": "117302", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-2) * ((-86 + 11) * (-84 - (-866)))", "variable": null, "family": "expression_5op", "shape": "(+ n (* n (* (+ n n) (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -2, \"c\": -86, \"d\": 11, \"e\": -84, \"f\": -866}", "seed": "4236426379838639149", "semantic_fingerprint": "sha256:7c4daa7e7dc2b2a1c0c67c88c9841550073364846ff93d9c7c647323993577c1", "generator_version": "3.0"}
{"id": "v3_val_00000961", "prompt": "What is 18 * (-59 / (-5))?", "solution_steps": ["Divide: -59 / (-5) = 59/5", "Multiply: 18 * (59/5) = 1062/5"], "final_answer": "1062/5", "answer_type": "rational", "kind": "expression", "math_text": "18 * (-59 / (-5))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -59, \"c\": -5}", "seed": "3906624088841460847", "semantic_fingerprint": "sha256:0c9dcd65495588304a76e9cc2942b2e61273e8d94b23af0f6c713e635e786906", "generator_version": "3.0"}
{"id": "v3_val_00000962", "prompt": "Solve the equation 3x - 9 = 12(x - 28) + 953 for x.", "solution_steps": ["Expand: 3x - 9 = 12x - 336 + 953", "Combine constants: 3x - 9 = 12x + 617", "Subtract 12x from both sides: -9x - 9 = 617", "Add 9 to both sides: -9x = 626", "Divide both sides by -9: x = -626/9"], "final_answer": "-626/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 9 = 12(x - 28) + 953", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 12, \"d\": 28, \"e\": 953}", "seed": "15704475559379573877", "semantic_fingerprint": "sha256:a159c2575748a40a580f0bad9d3f281168ba93494b6f52293c4ffd259b49c812", "generator_version": "3.0"}
{"id": "v3_val_00000963", "prompt": "What value of x satisfies 5(x - 652) - 19 = 9(x + 129) - 88?", "solution_steps": ["Expand: 5x - 3260 - 19 = 9(x + 129) - 88", "Expand: 5x - 3260 - 19 = 9x + 1161 - 88", "Combine constants: 5x - 3279 = 9x + 1161 - 88", "Combine constants: 5x - 3279 = 9x + 1073", "Subtract 9x from both sides: -4x - 3279 = 1073", "Add 3279 to both sides: -4x = 4352", "Divide both sides by -4: x = -1088"], "final_answer": "-1088", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 652) - 19 = 9(x + 129) - 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\": 652, \"c\": 19, \"d\": 9, \"e\": 129, \"f\": 88}", "seed": "2027794200699611566", "semantic_fingerprint": "sha256:438b5eac43c4bfabd9e22c1379904ca33e4071d8a1844fd96b5d0187f1f1eabb", "generator_version": "3.0"}
{"id": "v3_val_00000964", "prompt": "Solve for x: x = 11(x + 6)", "solution_steps": ["Expand: x = 11x + 66", "Subtract 11x from both sides: -10x = 66", "Divide both sides by -10: x = -33/5"], "final_answer": "-33/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11(x + 6)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6}", "seed": "8045407008077545971", "semantic_fingerprint": "sha256:ca59aa6d9bd813a52dbcfed1f9084ad9feeb975b3c748ec20c1ef29e59a6f8b8", "generator_version": "3.0"}
{"id": "v3_val_00000965", "prompt": "Calculate: -334 / (-57) - (29 + (-741))", "solution_steps": ["Divide: -334 / (-57) = 334/57", "Add: 29 + (-741) = -712", "Subtract: 334/57 - (-712) = 40918/57"], "final_answer": "40918/57", "answer_type": "rational", "kind": "expression", "math_text": "-334 / (-57) - (29 + (-741))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -334, \"b\": -57, \"c\": 29, \"d\": -741}", "seed": "7288088772099546391", "semantic_fingerprint": "sha256:e267835a81d63c64a41a48bee17c92acbe815dbc70ab365f218f8d2066745745", "generator_version": "3.0"}
{"id": "v3_val_00000966", "prompt": "Solve for x: -6x + 6 = -2(x - 3) + 76", "solution_steps": ["Expand: -6x + 6 = -2x + 6 + 76", "Combine constants: -6x + 6 = -2x + 82", "Add 2x to both sides: -4x + 6 = 82", "Subtract 6 from both sides: -4x = 76", "Divide both sides by -4: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x + 6 = -2(x - 3) + 76", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": -2, \"d\": 3, \"f\": 76, \"x\": -19}", "seed": "15454409653051379232", "semantic_fingerprint": "sha256:4d53663dc672ae58c8cea3abb8e967e87a066824e7d9a6cefc11cf2ef30442eb", "generator_version": "3.0"}
{"id": "v3_val_00000967", "prompt": "What value of x satisfies 3(x - 6) - 11 = 11(x + 2) - 467?", "solution_steps": ["Expand: 3x - 18 - 11 = 11(x + 2) - 467", "Expand: 3x - 18 - 11 = 11x + 22 - 467", "Combine constants: 3x - 29 = 11x + 22 - 467", "Combine constants: 3x - 29 = 11x - 445", "Subtract 11x from both sides: -8x - 29 = -445", "Add 29 to both sides: -8x = -416", "Divide both sides by -8: x = 52"], "final_answer": "52", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 6) - 11 = 11(x + 2) - 467", "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\": 11, \"d\": 11, \"e\": 2, \"f\": 467}", "seed": "6182102125373706037", "semantic_fingerprint": "sha256:1ddcf37d4c2680dcc728b8797e0ccceb8cebf3949de446c858a6746c20cc888c", "generator_version": "3.0"}
{"id": "v3_val_00000968", "prompt": "Solve the equation 5(x - 33) + 3 = 7x - 188 for x.", "solution_steps": ["Expand: 5x - 165 + 3 = 7x - 188", "Combine constants: 5x - 162 = 7x - 188", "Subtract 7x from both sides: -2x - 162 = -188", "Add 162 to both sides: -2x = -26", "Divide both sides by -2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 33) + 3 = 7x - 188", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 33, \"c\": 3, \"d\": 7, \"f\": -188, \"x\": 13}", "seed": "15650648102204874187", "semantic_fingerprint": "sha256:f005ded8b870e611aa289005ece1f48d9a0f2fdd25cb90871430a1b76c16c4cb", "generator_version": "3.0"}
{"id": "v3_val_00000969", "prompt": "What is (97 + (-401)) / 473 * 3?", "solution_steps": ["Add: 97 + (-401) = -304", "Divide: -304 / 473 = -304/473", "Multiply: (-304/473) * 3 = -912/473"], "final_answer": "-912/473", "answer_type": "rational", "kind": "expression", "math_text": "(97 + (-401)) / 473 * 3", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -401, \"c\": 473, \"d\": 3}", "seed": "17666213354347906062", "semantic_fingerprint": "sha256:c9824578d11d008a193d691e36217f282e54c871cb1f96ce358940a5f297af4b", "generator_version": "3.0"}
{"id": "v3_val_00000970", "prompt": "What is 5 / (-9 + (-2))?", "solution_steps": ["Add: -9 + (-2) = -11", "Divide: 5 / (-11) = -5/11"], "final_answer": "-5/11", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-9 + (-2))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -9, \"c\": -2}", "seed": "4250973115614548197", "semantic_fingerprint": "sha256:d42d9e9a1fa54a25b1bee06fd4c3e87058f6b92f255586fc3a462373a781895e", "generator_version": "3.0"}
{"id": "v3_val_00000971", "prompt": "Solve for x: 5x + 2 = 8(x + 59) - 419", "solution_steps": ["Expand: 5x + 2 = 8x + 472 - 419", "Combine constants: 5x + 2 = 8x + 53", "Subtract 8x from both sides: -3x + 2 = 53", "Subtract 2 from both sides: -3x = 51", "Divide both sides by -3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 2 = 8(x + 59) - 419", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 8, \"d\": 59, \"f\": -419, \"x\": -17}", "seed": "7492793464224518187", "semantic_fingerprint": "sha256:c3ded9872b20a5bf3f11aca322bfbafcfa7dcba532d1d42f3463a8669cddfe81", "generator_version": "3.0"}
{"id": "v3_val_00000972", "prompt": "What is 171 - 6 * (-7 - 65)?", "solution_steps": ["Subtract: -7 - 65 = -72", "Multiply: 6 * (-72) = -432", "Subtract: 171 - (-432) = 603"], "final_answer": "603", "answer_type": "integer", "kind": "expression", "math_text": "171 - 6 * (-7 - 65)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 171, \"b\": 6, \"c\": -7, \"d\": 65}", "seed": "3602840781103838335", "semantic_fingerprint": "sha256:fd137e8e83a2b907bcbdcc73921bb483ea60e7afe9de5a68ee1397b9dc4f9d99", "generator_version": "3.0"}
{"id": "v3_val_00000973", "prompt": "Find x: x - 280 = -277", "solution_steps": ["Add 280 to both sides: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 280 = -277", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 280, \"c\": -277, \"x\": 3}", "seed": "2446619826712858067", "semantic_fingerprint": "sha256:081d6eaa5233078a9d0384475daf1d5c7c43db46fc13a242a9d8220a801340ab", "generator_version": "3.0"}
{"id": "v3_val_00000974", "prompt": "Evaluate: 622 + 11 * (-1) * (-316)", "solution_steps": ["Multiply: 11 * (-1) = -11", "Multiply: -11 * (-316) = 3476", "Add: 622 + 3476 = 4098"], "final_answer": "4098", "answer_type": "integer", "kind": "expression", "math_text": "622 + 11 * (-1) * (-316)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 622, \"b\": 11, \"c\": -1, \"d\": -316}", "seed": "8515611967632854627", "semantic_fingerprint": "sha256:c4948895a691961d99d6ac458bbb1992a7d374b6442de835824c62eee0e11d8a", "generator_version": "3.0"}
{"id": "v3_val_00000975", "prompt": "Compute: (-893 + (-8) * (70 + (-6) * 4)) * 269", "solution_steps": ["Multiply: -6 * 4 = -24", "Add: 70 + (-24) = 46", "Multiply: -8 * 46 = -368", "Add: -893 + (-368) = -1261", "Multiply: -1261 * 269 = -339209"], "final_answer": "-339209", "answer_type": "integer", "kind": "expression", "math_text": "(-893 + (-8) * (70 + (-6) * 4)) * 269", "variable": null, "family": "expression_5op", "shape": "(* (+ n (* n (+ n (* n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -893, \"b\": -8, \"c\": 70, \"d\": -6, \"e\": 4, \"f\": 269}", "seed": "17182272656803405468", "semantic_fingerprint": "sha256:2aa590459504e25db3a67271ea8532fc3d6465c9203741ac6f386e87685611c8", "generator_version": "3.0"}
{"id": "v3_val_00000976", "prompt": "Find x: 10(x - 38) = -10x", "solution_steps": ["Expand: 10x - 380 = -10x", "Add 10x to both sides: 20x - 380 = 0", "Add 380 to both sides: 20x = 380", "Divide both sides by 20: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 38) = -10x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 38, \"c\": -10}", "seed": "13616643823168030014", "semantic_fingerprint": "sha256:f5e4d4bcef587ba747ed47e4c275f815b87db6a2ed79e9f40bd6ef3b48b479a1", "generator_version": "3.0"}
{"id": "v3_val_00000977", "prompt": "Compute: 46 + (7 - (-87) / (-4) + 9)", "solution_steps": ["Divide: -87 / (-4) = 87/4", "Subtract: 7 - 87/4 = -59/4", "Add: -59/4 + 9 = -23/4", "Add: 46 + (-23/4) = 161/4"], "final_answer": "161/4", "answer_type": "rational", "kind": "expression", "math_text": "46 + (7 - (-87) / (-4) + 9)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (- n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 7, \"c\": -87, \"d\": -4, \"e\": 9}", "seed": "16234351694134149014", "semantic_fingerprint": "sha256:0d45d17da37027d76be3f1b2c97a790b60d1567ea8d1eafa48e3db0a45ffb5b3", "generator_version": "3.0"}
{"id": "v3_val_00000978", "prompt": "Evaluate: (11 - (-9)) * (-996) + (-88) * (-61)", "solution_steps": ["Subtract: 11 - (-9) = 20", "Multiply: 20 * (-996) = -19920", "Multiply: -88 * (-61) = 5368", "Add: -19920 + 5368 = -14552"], "final_answer": "-14552", "answer_type": "integer", "kind": "expression", "math_text": "(11 - (-9)) * (-996) + (-88) * (-61)", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -9, \"c\": -996, \"d\": -88, \"e\": -61}", "seed": "2070978901479631095", "semantic_fingerprint": "sha256:1b53d7994a875de4f0aa73c634fd1bddaf73607ecd5be39b1c43d5d4bd61fb0e", "generator_version": "3.0"}
{"id": "v3_val_00000979", "prompt": "What is (-645 - (-32)) / (-3 / (-66) + (-77) - (-60))?", "solution_steps": ["Subtract: -645 - (-32) = -613", "Divide: -3 / (-66) = 1/22", "Add: 1/22 + (-77) = -1693/22", "Subtract: -1693/22 - (-60) = -373/22", "Divide: -613 / (-373/22) = 13486/373"], "final_answer": "13486/373", "answer_type": "rational", "kind": "expression", "math_text": "(-645 - (-32)) / (-3 / (-66) + (-77) - (-60))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (- (+ (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -645, \"b\": -32, \"c\": -3, \"d\": -66, \"e\": -77, \"f\": -60}", "seed": "3915274716617014594", "semantic_fingerprint": "sha256:d555febaf20a3217f21ba038606efc91048a9a0fea6413e90e8ae92cd444c5f2", "generator_version": "3.0"}
{"id": "v3_val_00000980", "prompt": "What is (23 + 74 - (-6)) * (-74 / (-77))?", "solution_steps": ["Add: 23 + 74 = 97", "Subtract: 97 - (-6) = 103", "Divide: -74 / (-77) = 74/77", "Multiply: 103 * (74/77) = 7622/77"], "final_answer": "7622/77", "answer_type": "rational", "kind": "expression", "math_text": "(23 + 74 - (-6)) * (-74 / (-77))", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 74, \"c\": -6, \"d\": -74, \"e\": -77}", "seed": "13609083755325819321", "semantic_fingerprint": "sha256:8b04c4944a93cdffe71d5c7ccce4800ae945b76fb2494ff20ceadd1dd58b1d33", "generator_version": "3.0"}
{"id": "v3_val_00000981", "prompt": "Solve the equation 6(x - 141) = x + 3 for x.", "solution_steps": ["Expand: 6x - 846 = x + 3", "Subtract x from both sides: 5x - 846 = 3", "Add 846 to both sides: 5x = 849", "Divide both sides by 5: x = 849/5"], "final_answer": "849/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 141) = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 141, \"c\": 3}", "seed": "9013738878597504777", "semantic_fingerprint": "sha256:7083e8359e27d4409070f2d75687022e4645fbd405e4418f049cd7170d841d87", "generator_version": "3.0"}
{"id": "v3_val_00000982", "prompt": "Calculate: 636 / (78 * (-574))", "solution_steps": ["Multiply: 78 * (-574) = -44772", "Divide: 636 / (-44772) = -53/3731"], "final_answer": "-53/3731", "answer_type": "rational", "kind": "expression", "math_text": "636 / (78 * (-574))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 636, \"b\": 78, \"c\": -574}", "seed": "9454863728786806256", "semantic_fingerprint": "sha256:d282665e28913e9bf887edf1d0bd37376148eb3fe058fba0ef7ac4b2344af759", "generator_version": "3.0"}
{"id": "v3_val_00000983", "prompt": "Calculate: -42 - (-424) - 40", "solution_steps": ["Subtract: -42 - (-424) = 382", "Subtract: 382 - 40 = 342"], "final_answer": "342", "answer_type": "integer", "kind": "expression", "math_text": "-42 - (-424) - 40", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -424, \"c\": 40}", "seed": "7946051685191205799", "semantic_fingerprint": "sha256:e2fdff4441acc13b42438887720800b26259159260ca8a29028639b98b6c06ab", "generator_version": "3.0"}
{"id": "v3_val_00000984", "prompt": "Solve the equation 11x = 10x - 5 for x.", "solution_steps": ["Subtract 10x from both sides: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 10x - 5", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 10, \"d\": -5, \"x\": -5}", "seed": "17211168264759885711", "semantic_fingerprint": "sha256:c923b1ace8c100c3f42dfedb1e858ff2806865aa8344559c36cb98c869b2adda", "generator_version": "3.0"}
{"id": "v3_val_00000985", "prompt": "Find x: 10x = 6(x + 25)", "solution_steps": ["Expand: 10x = 6x + 150", "Subtract 6x from both sides: 4x = 150", "Divide both sides by 4: x = 75/2"], "final_answer": "75/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = 6(x + 25)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 25}", "seed": "13228319692993406814", "semantic_fingerprint": "sha256:34ab7106289786d178b147ac2c300d449626e2390e63c4ae20d4d9be76d64c5b", "generator_version": "3.0"}
{"id": "v3_val_00000986", "prompt": "Solve for x: x = -3(x - 40)", "solution_steps": ["Expand: x = -3x + 120", "Add 3x to both sides: 4x = 120", "Divide both sides by 4: x = 30"], "final_answer": "30", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -3(x - 40)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 40}", "seed": "16074211776159246351", "semantic_fingerprint": "sha256:a69f5a7a689d9daa470ae1883ad0983889e4ee691545b87ad98e889db0a8419c", "generator_version": "3.0"}
{"id": "v3_val_00000987", "prompt": "Solve the equation 6(x + 12) - 4 = 4(x - 40) + 260 for x.", "solution_steps": ["Expand: 6x + 72 - 4 = 4(x - 40) + 260", "Expand: 6x + 72 - 4 = 4x - 160 + 260", "Combine constants: 6x + 68 = 4x - 160 + 260", "Combine constants: 6x + 68 = 4x + 100", "Subtract 4x from both sides: 2x + 68 = 100", "Subtract 68 from both sides: 2x = 32", "Divide both sides by 2: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 12) - 4 = 4(x - 40) + 260", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 12, \"c\": 4, \"d\": 4, \"e\": 40, \"g\": 260, \"x\": 16}", "seed": "153416871765279139", "semantic_fingerprint": "sha256:59a921b42806b0e4b9cb6cfcd6d0081c946552d9d470abab6dd86e4fefbcc455", "generator_version": "3.0"}
{"id": "v3_val_00000988", "prompt": "What is (-8 + (-14)) / (-89) + (25 + 22)?", "solution_steps": ["Add: -8 + (-14) = -22", "Divide: -22 / (-89) = 22/89", "Add: 25 + 22 = 47", "Add: 22/89 + 47 = 4205/89"], "final_answer": "4205/89", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (-14)) / (-89) + (25 + 22)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -14, \"c\": -89, \"d\": 25, \"e\": 22}", "seed": "9661668144626840657", "semantic_fingerprint": "sha256:b78cb7f2831983ff6420cce73902e4d98e3aaf555269cca85747edaf48dfcb34", "generator_version": "3.0"}
{"id": "v3_val_00000989", "prompt": "Evaluate: 9 * (-57 * (-639 + 378)) / (-564)", "solution_steps": ["Add: -639 + 378 = -261", "Multiply: -57 * (-261) = 14877", "Multiply: 9 * 14877 = 133893", "Divide: 133893 / (-564) = -44631/188"], "final_answer": "-44631/188", "answer_type": "rational", "kind": "expression", "math_text": "9 * (-57 * (-639 + 378)) / (-564)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -57, \"c\": -639, \"d\": 378, \"e\": -564}", "seed": "3777656370677112598", "semantic_fingerprint": "sha256:3bf12b909808bc779a5439a4a17f5f2028a09250a9c0edd8209b02a1dc52ede4", "generator_version": "3.0"}
{"id": "v3_val_00000990", "prompt": "Compute: (-68 + (-54)) / 54", "solution_steps": ["Add: -68 + (-54) = -122", "Divide: -122 / 54 = -61/27"], "final_answer": "-61/27", "answer_type": "rational", "kind": "expression", "math_text": "(-68 + (-54)) / 54", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -54, \"c\": 54}", "seed": "2388840717828149357", "semantic_fingerprint": "sha256:4aa59bcaf1e3a696ca35ecb29117bf8002b63204f05d291d0e3ce70139285812", "generator_version": "3.0"}
{"id": "v3_val_00000991", "prompt": "Evaluate: -9 * ((9 + (-3)) * 22)", "solution_steps": ["Add: 9 + (-3) = 6", "Multiply: 6 * 22 = 132", "Multiply: -9 * 132 = -1188"], "final_answer": "-1188", "answer_type": "integer", "kind": "expression", "math_text": "-9 * ((9 + (-3)) * 22)", "variable": null, "family": "expression_3op", "shape": "(* n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": -3, \"d\": 22}", "seed": "11745175245696255390", "semantic_fingerprint": "sha256:e5bfdcbe4f2a562f029714a56b73b5c34b1395ce128b6c72aad7ab7658729258", "generator_version": "3.0"}
{"id": "v3_val_00000992", "prompt": "What value of x satisfies 7x + 7 = -84?", "solution_steps": ["Subtract 7 from both sides: 7x = -91", "Divide both sides by 7: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 7 = -84", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"d\": -84, \"x\": -13}", "seed": "14968991095837637813", "semantic_fingerprint": "sha256:82b8dc047e7a98d04e7bb083a68fc8cb422220e81240f60fa320958180984c8e", "generator_version": "3.0"}
{"id": "v3_val_00000993", "prompt": "Calculate: -684 / (-17) - 45", "solution_steps": ["Divide: -684 / (-17) = 684/17", "Subtract: 684/17 - 45 = -81/17"], "final_answer": "-81/17", "answer_type": "rational", "kind": "expression", "math_text": "-684 / (-17) - 45", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -684, \"b\": -17, \"c\": 45}", "seed": "13216421865081383573", "semantic_fingerprint": "sha256:08d1b0ea6f37932b2ba3862ad58f918df7300c8a58c3d9cb5a8333419cf7d390", "generator_version": "3.0"}
{"id": "v3_val_00000994", "prompt": "Compute: 680 / 2 / (-2)", "solution_steps": ["Divide: 680 / 2 = 340", "Divide: 340 / (-2) = -170"], "final_answer": "-170", "answer_type": "integer", "kind": "expression", "math_text": "680 / 2 / (-2)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 680, \"b\": 2, \"c\": -2}", "seed": "11663577214582982068", "semantic_fingerprint": "sha256:991cf4084fa3030bd56348be51ec1f358ca20345036640988e701ae066077a97", "generator_version": "3.0"}
{"id": "v3_val_00000995", "prompt": "Evaluate: 0 / (-86 - 82)", "solution_steps": ["Subtract: -86 - 82 = -168", "Divide: 0 / (-168) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-86 - 82)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -86, \"c\": 82}", "seed": "1079901437592593489", "semantic_fingerprint": "sha256:099e86427242c3cbd2bfa6e9166b4c3add551574a8c28da4ba6fce077fb32173", "generator_version": "3.0"}
{"id": "v3_val_00000996", "prompt": "What value of x satisfies -3(x + 9) - 9 = -9?", "solution_steps": ["Expand: -3x - 27 - 9 = -9", "Combine constants: -3x - 36 = -9", "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": "-3(x + 9) - 9 = -9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 9, \"e\": -9, \"x\": -9}", "seed": "2205009548278979821", "semantic_fingerprint": "sha256:2e14f83bdcdd6272ac78ce0bf91b6f4a2fcbc052c946dd14e08573851fac8957", "generator_version": "3.0"}
{"id": "v3_val_00000997", "prompt": "Compute: -3 - 39 * (0 - (-337)) / 2", "solution_steps": ["Subtract: 0 - (-337) = 337", "Multiply: 39 * 337 = 13143", "Divide: 13143 / 2 = 13143/2", "Subtract: -3 - 13143/2 = -13149/2"], "final_answer": "-13149/2", "answer_type": "rational", "kind": "expression", "math_text": "-3 - 39 * (0 - (-337)) / 2", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 39, \"c\": 0, \"d\": -337, \"e\": 2}", "seed": "16558324502670991474", "semantic_fingerprint": "sha256:780affa10fb6b7b6935d80f9ec4fb6da3b39c9d4009307a744e3f6d9d1ae12a0", "generator_version": "3.0"}
{"id": "v3_val_00000998", "prompt": "What is 47 - 7 - 670?", "solution_steps": ["Subtract: 47 - 7 = 40", "Subtract: 40 - 670 = -630"], "final_answer": "-630", "answer_type": "integer", "kind": "expression", "math_text": "47 - 7 - 670", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 7, \"c\": 670}", "seed": "4511782399814275092", "semantic_fingerprint": "sha256:ace343b6c2dc1d074fd4f258d2c6e3bf8ea63a54ad4c497a819fc6223ac87ffa", "generator_version": "3.0"}
{"id": "v3_val_00000999", "prompt": "Solve for x: 10(x + 6) + 656 = -11x + 716", "solution_steps": ["Expand: 10x + 60 + 656 = -11x + 716", "Combine constants: 10x + 716 = -11x + 716", "Add 11x to both sides: 21x + 716 = 716", "Subtract 716 from both sides: 21x = 0", "Divide both sides by 21: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 6) + 656 = -11x + 716", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 656, \"d\": -11, \"f\": 716, \"x\": 0}", "seed": "1257677640738813702", "semantic_fingerprint": "sha256:2723c27b94ddf3e1682e55af92fb284de10214f873ecfadf91beb1b3aa48ff2c", "generator_version": "3.0"}
{"id": "v3_val_00001000", "prompt": "What value of x satisfies 11x + 70 = 9(x + 54) - 438?", "solution_steps": ["Expand: 11x + 70 = 9x + 486 - 438", "Combine constants: 11x + 70 = 9x + 48", "Subtract 9x from both sides: 2x + 70 = 48", "Subtract 70 from both sides: 2x = -22", "Divide both sides by 2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 70 = 9(x + 54) - 438", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 70, \"c\": 9, \"d\": 54, \"f\": -438, \"x\": -11}", "seed": "10455514942229621392", "semantic_fingerprint": "sha256:b61611d7debc3e8b0bd003cf339e3aa762095b028fbfc4f65c304603e218b605", "generator_version": "3.0"}
{"id": "v3_val_00001001", "prompt": "Solve the equation 12(x + 539) - 6 = x for x.", "solution_steps": ["Expand: 12x + 6468 - 6 = x", "Combine constants: 12x + 6462 = x", "Subtract x from both sides: 11x + 6462 = 0", "Subtract 6462 from both sides: 11x = -6462", "Divide both sides by 11: x = -6462/11"], "final_answer": "-6462/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 539) - 6 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 539, \"c\": 6}", "seed": "16398867989631265756", "semantic_fingerprint": "sha256:80503aca77c35509d967e76af073e31a03fc4be299ee16001321f311d344c263", "generator_version": "3.0"}
{"id": "v3_val_00001002", "prompt": "Solve the equation 7(x - 962) = 12(x - 72) - 9 for x.", "solution_steps": ["Expand: 7x - 6734 = 12(x - 72) - 9", "Expand: 7x - 6734 = 12x - 864 - 9", "Combine constants: 7x - 6734 = 12x - 873", "Subtract 12x from both sides: -5x - 6734 = -873", "Add 6734 to both sides: -5x = 5861", "Divide both sides by -5: x = -5861/5"], "final_answer": "-5861/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 962) = 12(x - 72) - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 962, \"c\": 12, \"d\": 72, \"e\": 9}", "seed": "15741423669227224228", "semantic_fingerprint": "sha256:8fbb7cf467bb482cdaf1ed845431cc0f3a34b2efe3721e9180d5c201a45767d0", "generator_version": "3.0"}
{"id": "v3_val_00001003", "prompt": "Compute: 5 * 93 * (-20)", "solution_steps": ["Multiply: 5 * 93 = 465", "Multiply: 465 * (-20) = -9300"], "final_answer": "-9300", "answer_type": "integer", "kind": "expression", "math_text": "5 * 93 * (-20)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 93, \"c\": -20}", "seed": "14288721070223638344", "semantic_fingerprint": "sha256:6ea6ed541ec32a43fe13dd6d3942116566732c455c590563053656d8c2735fd8", "generator_version": "3.0"}
{"id": "v3_val_00001004", "prompt": "Solve for x: x - 3 = 14", "solution_steps": ["Add 3 to both sides: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 14", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": 14, \"x\": 17}", "seed": "7890167651260121653", "semantic_fingerprint": "sha256:d10f87c376bc675840e8fc5a4190504f8a19b4c98e28a57a468b2e084c4110ea", "generator_version": "3.0"}
{"id": "v3_val_00001005", "prompt": "Evaluate: (-97 - 1) / 5 * 54", "solution_steps": ["Subtract: -97 - 1 = -98", "Divide: -98 / 5 = -98/5", "Multiply: (-98/5) * 54 = -5292/5"], "final_answer": "-5292/5", "answer_type": "rational", "kind": "expression", "math_text": "(-97 - 1) / 5 * 54", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 1, \"c\": 5, \"d\": 54}", "seed": "12377067855249426918", "semantic_fingerprint": "sha256:b3a76f5cff22acb50b37f7430c67751de3ae166106025ebc09efe68e038b634d", "generator_version": "3.0"}
{"id": "v3_val_00001006", "prompt": "Calculate: 596 - (-73 + 31)", "solution_steps": ["Add: -73 + 31 = -42", "Subtract: 596 - (-42) = 638"], "final_answer": "638", "answer_type": "integer", "kind": "expression", "math_text": "596 - (-73 + 31)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 596, \"b\": -73, \"c\": 31}", "seed": "11724384545467946934", "semantic_fingerprint": "sha256:be3165c4d32de7ea0b0bd5ed570b2391900cbb06224cea0ef7a09b52f8ec6a35", "generator_version": "3.0"}
{"id": "v3_val_00001007", "prompt": "What value of x satisfies 6(x + 6) - 390 = 3(x - 8) - 276?", "solution_steps": ["Expand: 6x + 36 - 390 = 3(x - 8) - 276", "Expand: 6x + 36 - 390 = 3x - 24 - 276", "Combine constants: 6x - 354 = 3x - 24 - 276", "Combine constants: 6x - 354 = 3x - 300", "Subtract 3x from both sides: 3x - 354 = -300", "Add 354 to both sides: 3x = 54", "Divide both sides by 3: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 6) - 390 = 3(x - 8) - 276", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 390, \"d\": 3, \"e\": 8, \"g\": -276, \"x\": 18}", "seed": "3964619199756791519", "semantic_fingerprint": "sha256:fecced7cfe14cf6c920e161ae237740cff835f32bb3342972452d9b332a4cb92", "generator_version": "3.0"}
{"id": "v3_val_00001008", "prompt": "Calculate: -5 - 84 / 316", "solution_steps": ["Divide: 84 / 316 = 21/79", "Subtract: -5 - 21/79 = -416/79"], "final_answer": "-416/79", "answer_type": "rational", "kind": "expression", "math_text": "-5 - 84 / 316", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 84, \"c\": 316}", "seed": "4829269998900187557", "semantic_fingerprint": "sha256:04131042b48edabc04db820b301c0a5a738952f38f32ae5893df6f639d220279", "generator_version": "3.0"}
{"id": "v3_val_00001009", "prompt": "Find x: 3(x - 25) + 68 = -11(x - 24) + 94", "solution_steps": ["Expand: 3x - 75 + 68 = -11(x - 24) + 94", "Expand: 3x - 75 + 68 = -11x + 264 + 94", "Combine constants: 3x - 7 = -11x + 264 + 94", "Combine constants: 3x - 7 = -11x + 358", "Add 11x to both sides: 14x - 7 = 358", "Add 7 to both sides: 14x = 365", "Divide both sides by 14: x = 365/14"], "final_answer": "365/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 25) + 68 = -11(x - 24) + 94", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 25, \"c\": 68, \"d\": -11, \"e\": 24, \"f\": 94}", "seed": "15524130028543581252", "semantic_fingerprint": "sha256:53ebff189c18c10098b44f9e6c497a653581fb21bde40f2134e3c8d7fea0199d", "generator_version": "3.0"}
{"id": "v3_val_00001010", "prompt": "Solve the equation 10(x - 41) - 6 = x - 344 for x.", "solution_steps": ["Expand: 10x - 410 - 6 = x - 344", "Combine constants: 10x - 416 = x - 344", "Subtract x from both sides: 9x - 416 = -344", "Add 416 to both sides: 9x = 72", "Divide both sides by 9: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 41) - 6 = x - 344", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 41, \"c\": 6, \"e\": -344, \"x\": 8}", "seed": "14459595494390120225", "semantic_fingerprint": "sha256:e54d896779a5e8709c763b84b80e779f39ee2dfcdfb002cf1e8d629ccfc431ff", "generator_version": "3.0"}
{"id": "v3_val_00001011", "prompt": "Evaluate: -10 / (664 / 965)", "solution_steps": ["Divide: 664 / 965 = 664/965", "Divide: -10 / (664/965) = -4825/332"], "final_answer": "-4825/332", "answer_type": "rational", "kind": "expression", "math_text": "-10 / (664 / 965)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 664, \"c\": 965}", "seed": "13031267788612267205", "semantic_fingerprint": "sha256:f376460f86b839e3b5775bc7d44d1ad9659303ab606ad8fb01362f855ef2e375", "generator_version": "3.0"}
{"id": "v3_val_00001012", "prompt": "What is 7 * (-85)?", "solution_steps": ["Multiply: 7 * (-85) = -595"], "final_answer": "-595", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-85)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -85}", "seed": "6117266522484189199", "semantic_fingerprint": "sha256:82bb7697cd5b405b4d94b526b121505de2a602be0370ad375ab0101c7b52d14e", "generator_version": "3.0"}
{"id": "v3_val_00001013", "prompt": "Solve for x: -5(x - 816) = 8(x + 543)", "solution_steps": ["Expand: -5x + 4080 = 8(x + 543)", "Expand: -5x + 4080 = 8x + 4344", "Subtract 8x from both sides: -13x + 4080 = 4344", "Subtract 4080 from both sides: -13x = 264", "Divide both sides by -13: x = -264/13"], "final_answer": "-264/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 816) = 8(x + 543)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 816, \"c\": 8, \"d\": 543}", "seed": "12348101219973106648", "semantic_fingerprint": "sha256:8ce3ab99c25c3cf10399c783707146d027a1b2aa6571a1cc16c5be9df6c21082", "generator_version": "3.0"}
{"id": "v3_val_00001014", "prompt": "What value of x satisfies x - 959 = 8x?", "solution_steps": ["Subtract 8x from both sides: -7x - 959 = 0", "Add 959 to both sides: -7x = 959", "Divide both sides by -7: x = -137"], "final_answer": "-137", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 959 = 8x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 959, \"b\": 8}", "seed": "15274939262610476926", "semantic_fingerprint": "sha256:c52e998711414ea8a160068a1f209b30f09a7588445e47172df8445e3ca48fd4", "generator_version": "3.0"}
{"id": "v3_val_00001015", "prompt": "Calculate: -39 - (408 - (78 + 5) + (-392))", "solution_steps": ["Add: 78 + 5 = 83", "Subtract: 408 - 83 = 325", "Add: 325 + (-392) = -67", "Subtract: -39 - (-67) = 28"], "final_answer": "28", "answer_type": "integer", "kind": "expression", "math_text": "-39 - (408 - (78 + 5) + (-392))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 408, \"c\": 78, \"d\": 5, \"e\": -392}", "seed": "9974233691997936639", "semantic_fingerprint": "sha256:a57038b3b81f524fdec1d809b12dcf41b751d19d1fd585242f5301b196b777e0", "generator_version": "3.0"}
{"id": "v3_val_00001016", "prompt": "Solve the equation -11x - 36 = 7x for x.", "solution_steps": ["Subtract 7x from both sides: -18x - 36 = 0", "Add 36 to both sides: -18x = 36", "Divide both sides by -18: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 36 = 7x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"d\": -36, \"x\": -2}", "seed": "5607747211598659150", "semantic_fingerprint": "sha256:2ce2344aaebef419389511f6b4668e1bc3341064595a99f6dc9886fd04ed6fcb", "generator_version": "3.0"}
{"id": "v3_val_00001017", "prompt": "Evaluate: (2 + (-46)) / 10 / 7", "solution_steps": ["Add: 2 + (-46) = -44", "Divide: -44 / 10 = -22/5", "Divide: (-22/5) / 7 = -22/35"], "final_answer": "-22/35", "answer_type": "rational", "kind": "expression", "math_text": "(2 + (-46)) / 10 / 7", "variable": null, "family": "expression_3op", "shape": "(/ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -46, \"c\": 10, \"d\": 7}", "seed": "8554732927921238189", "semantic_fingerprint": "sha256:87253e08cf6eb85ede6a9dfebbd6a729f87e845386238e4bac91e8eecaf8688c", "generator_version": "3.0"}
{"id": "v3_val_00001018", "prompt": "Compute: 187 - (-4) + 689 - 161", "solution_steps": ["Subtract: 187 - (-4) = 191", "Add: 191 + 689 = 880", "Subtract: 880 - 161 = 719"], "final_answer": "719", "answer_type": "integer", "kind": "expression", "math_text": "187 - (-4) + 689 - 161", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 187, \"b\": -4, \"c\": 689, \"d\": 161}", "seed": "15775755187161321139", "semantic_fingerprint": "sha256:e8593752b8e1a8114ea6fb8e40d2d889eca73aa5311b8a6f3e09fe57f47b434f", "generator_version": "3.0"}
{"id": "v3_val_00001019", "prompt": "Evaluate: 1 * (-154) - 56", "solution_steps": ["Multiply: 1 * (-154) = -154", "Subtract: -154 - 56 = -210"], "final_answer": "-210", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-154) - 56", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -154, \"c\": 56}", "seed": "6675951144647022961", "semantic_fingerprint": "sha256:6d2cdf0b9d3c0b67de8d36f30e0c00a9b16d37332b2d3f5c80ad91ee6cf86fe5", "generator_version": "3.0"}
{"id": "v3_val_00001020", "prompt": "Compute: -938 - (-51) * (88 + 46) - 76 * (-30)", "solution_steps": ["Add: 88 + 46 = 134", "Multiply: -51 * 134 = -6834", "Subtract: -938 - (-6834) = 5896", "Multiply: 76 * (-30) = -2280", "Subtract: 5896 - (-2280) = 8176"], "final_answer": "8176", "answer_type": "integer", "kind": "expression", "math_text": "-938 - (-51) * (88 + 46) - 76 * (-30)", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n (+ n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -938, \"b\": -51, \"c\": 88, \"d\": 46, \"e\": 76, \"f\": -30}", "seed": "7174815546677792836", "semantic_fingerprint": "sha256:ba0d176b66a9c78bcb7655ed1a8ca5aa158e6f8795953fa2e10e16559b7d3a03", "generator_version": "3.0"}
{"id": "v3_val_00001021", "prompt": "Evaluate: 9 + (8 + 543) + (-6)", "solution_steps": ["Add: 8 + 543 = 551", "Add: 9 + 551 = 560", "Add: 560 + (-6) = 554"], "final_answer": "554", "answer_type": "integer", "kind": "expression", "math_text": "9 + (8 + 543) + (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 543, \"d\": -6}", "seed": "2484145907736158729", "semantic_fingerprint": "sha256:8cbe604b88f41bc70b2d7ddf57d286cf17de8f007dc2723be745c2ef099e72f9", "generator_version": "3.0"}
{"id": "v3_val_00001022", "prompt": "Compute: -4 / 45", "solution_steps": ["Divide: -4 / 45 = -4/45"], "final_answer": "-4/45", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 45", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 45}", "seed": "9146911132174911156", "semantic_fingerprint": "sha256:1036500d33b81c54e0b4e0fb2a852a0135690f8a030e36596a191b08b5ecf013", "generator_version": "3.0"}
{"id": "v3_val_00001023", "prompt": "What value of x satisfies 12(x - 76) = 8x?", "solution_steps": ["Expand: 12x - 912 = 8x", "Subtract 8x from both sides: 4x - 912 = 0", "Add 912 to both sides: 4x = 912", "Divide both sides by 4: x = 228"], "final_answer": "228", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 76) = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 76, \"c\": 8}", "seed": "18413097060981927455", "semantic_fingerprint": "sha256:d08a404cd33aa0cf9ad447548a438dad7b9f26619c80254f87d9e2a3ab90ee1c", "generator_version": "3.0"}
{"id": "v3_val_00001024", "prompt": "What is (-9 * (-688) - (-616)) / 7 * 92?", "solution_steps": ["Multiply: -9 * (-688) = 6192", "Subtract: 6192 - (-616) = 6808", "Divide: 6808 / 7 = 6808/7", "Multiply: (6808/7) * 92 = 626336/7"], "final_answer": "626336/7", "answer_type": "rational", "kind": "expression", "math_text": "(-9 * (-688) - (-616)) / 7 * 92", "variable": null, "family": "expression_4op", "shape": "(* (/ (- (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -688, \"c\": -616, \"d\": 7, \"e\": 92}", "seed": "13601835500883927639", "semantic_fingerprint": "sha256:ab6fb34eab76ce62a5cfacc55da114dbc18de5ecab511a64ea3134f31e611b95", "generator_version": "3.0"}
{"id": "v3_val_00001025", "prompt": "Compute: -44 - (-46 + (-25)) - (-70)", "solution_steps": ["Add: -46 + (-25) = -71", "Subtract: -44 - (-71) = 27", "Subtract: 27 - (-70) = 97"], "final_answer": "97", "answer_type": "integer", "kind": "expression", "math_text": "-44 - (-46 + (-25)) - (-70)", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -46, \"c\": -25, \"d\": -70}", "seed": "10920897661354415494", "semantic_fingerprint": "sha256:93b711bb2c7c09eadc5f1161ebcbc933ab1174522814c071390cfbbbda7128e0", "generator_version": "3.0"}
{"id": "v3_val_00001026", "prompt": "Evaluate: -73 + (-146)", "solution_steps": ["Add: -73 + (-146) = -219"], "final_answer": "-219", "answer_type": "integer", "kind": "expression", "math_text": "-73 + (-146)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -146}", "seed": "13040233578657081265", "semantic_fingerprint": "sha256:91a3b4c0d87dcc1d688d660fb0d672a796a44c9fe4f3971a4dcb0d2557371f09", "generator_version": "3.0"}
{"id": "v3_val_00001027", "prompt": "Calculate: -502 * 67", "solution_steps": ["Multiply: -502 * 67 = -33634"], "final_answer": "-33634", "answer_type": "integer", "kind": "expression", "math_text": "-502 * 67", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -502, \"b\": 67}", "seed": "4932786635542395120", "semantic_fingerprint": "sha256:1c61e883e98cf384bf6364865f4714757ff054f26b4979d84512cb271233d3c4", "generator_version": "3.0"}
{"id": "v3_val_00001028", "prompt": "Compute: 4 * 8 + (-63)", "solution_steps": ["Multiply: 4 * 8 = 32", "Add: 32 + (-63) = -31"], "final_answer": "-31", "answer_type": "integer", "kind": "expression", "math_text": "4 * 8 + (-63)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": -63}", "seed": "8287371204802390783", "semantic_fingerprint": "sha256:aab92d8d10dc4de4a1705d2ce3839e329761ac7a32c7eff2d21383c31e446d76", "generator_version": "3.0"}
{"id": "v3_val_00001029", "prompt": "What value of x satisfies x = 12(x + 1) + 32?", "solution_steps": ["Expand: x = 12x + 12 + 32", "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 + 1) + 32", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"d\": 32, \"x\": -4}", "seed": "9340121032381215853", "semantic_fingerprint": "sha256:7a882d360a83640a8b418ffbc81e36444182e39566ab4536ccd3be2fba60fdf9", "generator_version": "3.0"}
{"id": "v3_val_00001030", "prompt": "Solve the equation x - 3 = 4(x - 796) for x.", "solution_steps": ["Expand: x - 3 = 4x - 3184", "Subtract 4x from both sides: -3x - 3 = -3184", "Add 3 to both sides: -3x = -3181", "Divide both sides by -3: x = 3181/3"], "final_answer": "3181/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 3 = 4(x - 796)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 796}", "seed": "6050864020161885397", "semantic_fingerprint": "sha256:0f742919666524257bf12cbfd4780a662f7e3232d43854889eaecd54c0e86a63", "generator_version": "3.0"}
{"id": "v3_val_00001031", "prompt": "Solve for x: x = 9(x - 4) - 124", "solution_steps": ["Expand: x = 9x - 36 - 124", "Combine constants: x = 9x - 160", "Subtract 9x from both sides: -8x = -160", "Divide both sides by -8: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9(x - 4) - 124", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"d\": -124, \"x\": 20}", "seed": "10358018962685995639", "semantic_fingerprint": "sha256:13aca96af8b619bcd1ea3f2b4448d6424a0d121e5113e834d915bafedf8d0620", "generator_version": "3.0"}
{"id": "v3_val_00001032", "prompt": "Calculate: 8 * (-8 * (-4))", "solution_steps": ["Multiply: -8 * (-4) = 32", "Multiply: 8 * 32 = 256"], "final_answer": "256", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-8 * (-4))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"c\": -4}", "seed": "15403091822822750418", "semantic_fingerprint": "sha256:f287212f262201a702ea0dd60aaf80be49652b33d04fd0ef2406f6146a4f111a", "generator_version": "3.0"}
{"id": "v3_val_00001033", "prompt": "Solve for x: -2(x + 93) - 630 = 4x - 870", "solution_steps": ["Expand: -2x - 186 - 630 = 4x - 870", "Combine constants: -2x - 816 = 4x - 870", "Subtract 4x from both sides: -6x - 816 = -870", "Add 816 to both sides: -6x = -54", "Divide both sides by -6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 93) - 630 = 4x - 870", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 93, \"c\": 630, \"d\": 4, \"f\": -870, \"x\": 9}", "seed": "6453481456139824452", "semantic_fingerprint": "sha256:5ffe5d86148e3fd4c03539586bf209234f5dd308c8afd6a5cbc648e93c246cc5", "generator_version": "3.0"}
{"id": "v3_val_00001034", "prompt": "What value of x satisfies 2(x + 2) + 44 = 4(x + 8) + 36?", "solution_steps": ["Expand: 2x + 4 + 44 = 4(x + 8) + 36", "Expand: 2x + 4 + 44 = 4x + 32 + 36", "Combine constants: 2x + 48 = 4x + 32 + 36", "Combine constants: 2x + 48 = 4x + 68", "Subtract 4x from both sides: -2x + 48 = 68", "Subtract 48 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 + 2) + 44 = 4(x + 8) + 36", "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\": 44, \"d\": 4, \"e\": 8, \"g\": 36, \"x\": -10}", "seed": "10875973472363201217", "semantic_fingerprint": "sha256:efce6acf70baf6421a5c17374075494a3e2cb08bff2854e438b0f41a535314b8", "generator_version": "3.0"}
{"id": "v3_val_00001035", "prompt": "Evaluate: 33 * 93 * (9 + 20)", "solution_steps": ["Multiply: 33 * 93 = 3069", "Add: 9 + 20 = 29", "Multiply: 3069 * 29 = 89001"], "final_answer": "89001", "answer_type": "integer", "kind": "expression", "math_text": "33 * 93 * (9 + 20)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 93, \"c\": 9, \"d\": 20}", "seed": "863371945908026404", "semantic_fingerprint": "sha256:f4be539b1be8e50219a43435f4c01c84250cb95a6d37cc45297a51e73b7917d0", "generator_version": "3.0"}
{"id": "v3_val_00001036", "prompt": "What is 5 + 6 - 261?", "solution_steps": ["Add: 5 + 6 = 11", "Subtract: 11 - 261 = -250"], "final_answer": "-250", "answer_type": "integer", "kind": "expression", "math_text": "5 + 6 - 261", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 261}", "seed": "14187827451271008843", "semantic_fingerprint": "sha256:340d1056dcad38065851a3372914c9c2a295127a6faba87d7e78d4d864badcf4", "generator_version": "3.0"}
{"id": "v3_val_00001037", "prompt": "Compute: (19 - (-14)) / 74 * 997", "solution_steps": ["Subtract: 19 - (-14) = 33", "Divide: 33 / 74 = 33/74", "Multiply: (33/74) * 997 = 32901/74"], "final_answer": "32901/74", "answer_type": "rational", "kind": "expression", "math_text": "(19 - (-14)) / 74 * 997", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -14, \"c\": 74, \"d\": 997}", "seed": "5341205929188012341", "semantic_fingerprint": "sha256:be4a4542cfd8dec217d20c5bbcc17b23a429998b6df077be07dc9d83a78779a8", "generator_version": "3.0"}
{"id": "v3_val_00001038", "prompt": "Compute: -4 / (-96 * (-26))", "solution_steps": ["Multiply: -96 * (-26) = 2496", "Divide: -4 / 2496 = -1/624"], "final_answer": "-1/624", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-96 * (-26))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -96, \"c\": -26}", "seed": "1694774702620543090", "semantic_fingerprint": "sha256:999f67354a7e356432dbbbda01c7969a7b73cb339a203afd28893441f2a92947", "generator_version": "3.0"}
{"id": "v3_val_00001039", "prompt": "What value of x satisfies 10(x + 11) + 55 = -10x - 15?", "solution_steps": ["Expand: 10x + 110 + 55 = -10x - 15", "Combine constants: 10x + 165 = -10x - 15", "Add 10x to both sides: 20x + 165 = -15", "Subtract 165 from both sides: 20x = -180", "Divide both sides by 20: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 11) + 55 = -10x - 15", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 11, \"c\": 55, \"d\": -10, \"f\": -15, \"x\": -9}", "seed": "4780583878952512967", "semantic_fingerprint": "sha256:68020fbd03042e28c1901b92d4aac5ce4d9b5796527f3b180505ad7e4bc09469", "generator_version": "3.0"}
{"id": "v3_val_00001040", "prompt": "Compute: 0 * (-3) / (-31)", "solution_steps": ["Multiply: 0 * (-3) = 0", "Divide: 0 / (-31) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-3) / (-31)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -3, \"c\": -31}", "seed": "17655025136772921406", "semantic_fingerprint": "sha256:abf2f5c87c6b7e18032342ef6ea52c386526fad519d6fe9c4b48a623a9f0a7b5", "generator_version": "3.0"}
{"id": "v3_val_00001041", "prompt": "Evaluate: -68 * (-166 + (-595) - 42)", "solution_steps": ["Add: -166 + (-595) = -761", "Subtract: -761 - 42 = -803", "Multiply: -68 * (-803) = 54604"], "final_answer": "54604", "answer_type": "integer", "kind": "expression", "math_text": "-68 * (-166 + (-595) - 42)", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -166, \"c\": -595, \"d\": 42}", "seed": "15142204039463442288", "semantic_fingerprint": "sha256:9dd6cc97942997860d177f1517a0b78ed49a850608623df40e0cac6456cde4df", "generator_version": "3.0"}
{"id": "v3_val_00001042", "prompt": "Solve for x: x - 56 = 8(x + 1) - 127", "solution_steps": ["Expand: x - 56 = 8x + 8 - 127", "Combine constants: x - 56 = 8x - 119", "Subtract 8x from both sides: -7x - 56 = -119", "Add 56 to both sides: -7x = -63", "Divide both sides by -7: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 56 = 8(x + 1) - 127", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 8, \"c\": 1, \"e\": -127, \"x\": 9}", "seed": "7345381497164524355", "semantic_fingerprint": "sha256:8b81b135123c9d72ed726da9049d4524e998d6ce35899364ecfad5b1bd8ec3f5", "generator_version": "3.0"}
{"id": "v3_val_00001043", "prompt": "Compute: (-42 - ((-85 - 74) * 958 + 51)) / (-584)", "solution_steps": ["Subtract: -85 - 74 = -159", "Multiply: -159 * 958 = -152322", "Add: -152322 + 51 = -152271", "Subtract: -42 - (-152271) = 152229", "Divide: 152229 / (-584) = -152229/584"], "final_answer": "-152229/584", "answer_type": "rational", "kind": "expression", "math_text": "(-42 - ((-85 - 74) * 958 + 51)) / (-584)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ (* (- n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -85, \"c\": 74, \"d\": 958, \"e\": 51, \"f\": -584}", "seed": "7755612579595265807", "semantic_fingerprint": "sha256:04bdbaf53ed5a3e2758cd961d0391ba177b00cf2096ad8f08e094f04aff7773b", "generator_version": "3.0"}
{"id": "v3_val_00001044", "prompt": "What is 97 * (-164 - (573 - (-4) + 993))?", "solution_steps": ["Subtract: 573 - (-4) = 577", "Add: 577 + 993 = 1570", "Subtract: -164 - 1570 = -1734", "Multiply: 97 * (-1734) = -168198"], "final_answer": "-168198", "answer_type": "integer", "kind": "expression", "math_text": "97 * (-164 - (573 - (-4) + 993))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -164, \"c\": 573, \"d\": -4, \"e\": 993}", "seed": "9785851139266827744", "semantic_fingerprint": "sha256:bab9113b80e5004b8910607e2cdbb9e1fdeeaef32aa44521c65a37f69a8c2761", "generator_version": "3.0"}
{"id": "v3_val_00001045", "prompt": "What is 34 - 49?", "solution_steps": ["Subtract: 34 - 49 = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "34 - 49", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 49}", "seed": "17004300016692950410", "semantic_fingerprint": "sha256:2de3e7d08b6d9b9bdec6f9753783ec771a173549fdfd942a91e00cbe20acda24", "generator_version": "3.0"}
{"id": "v3_val_00001046", "prompt": "Solve for x: x = 10(x - 99) + 131", "solution_steps": ["Expand: x = 10x - 990 + 131", "Combine constants: x = 10x - 859", "Subtract 10x from both sides: -9x = -859", "Divide both sides by -9: x = 859/9"], "final_answer": "859/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 10(x - 99) + 131", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 99, \"c\": 131}", "seed": "10287788697510060161", "semantic_fingerprint": "sha256:3dd42ca2c357247d63c43643f111ba5eaedadc3e2ff51a05895576670dc0bdec", "generator_version": "3.0"}
{"id": "v3_val_00001047", "prompt": "What is 8 + (426 + 499)?", "solution_steps": ["Add: 426 + 499 = 925", "Add: 8 + 925 = 933"], "final_answer": "933", "answer_type": "integer", "kind": "expression", "math_text": "8 + (426 + 499)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 426, \"c\": 499}", "seed": "3924565588283878895", "semantic_fingerprint": "sha256:28d3e2b5710be516ac8a592dad0dec1d0b614fe3e9f1286a8a363a05cdb3ce33", "generator_version": "3.0"}
{"id": "v3_val_00001048", "prompt": "What value of x satisfies 4(x - 51) - 29 = -3(x + 73)?", "solution_steps": ["Expand: 4x - 204 - 29 = -3(x + 73)", "Expand: 4x - 204 - 29 = -3x - 219", "Combine constants: 4x - 233 = -3x - 219", "Add 3x to both sides: 7x - 233 = -219", "Add 233 to both sides: 7x = 14", "Divide both sides by 7: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 51) - 29 = -3(x + 73)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 51, \"c\": -3, \"d\": 73, \"f\": -29, \"x\": 2}", "seed": "11625977258211520724", "semantic_fingerprint": "sha256:bc924354ed220b7342e93976ce2c6a35ddb614a3cc4dbee2a1a5393881de3e0d", "generator_version": "3.0"}
{"id": "v3_val_00001049", "prompt": "What value of x satisfies 5x - 6 = 8(x + 61) - 530?", "solution_steps": ["Expand: 5x - 6 = 8x + 488 - 530", "Combine constants: 5x - 6 = 8x - 42", "Subtract 8x from both sides: -3x - 6 = -42", "Add 6 to both sides: -3x = -36", "Divide both sides by -3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 6 = 8(x + 61) - 530", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 8, \"d\": 61, \"f\": -530, \"x\": 12}", "seed": "6218776834798150026", "semantic_fingerprint": "sha256:0f08c5c40469e1533b1b81abec1333e85110672ea581789e70224f5e0eababd2", "generator_version": "3.0"}
{"id": "v3_val_00001050", "prompt": "Calculate: -50 * (-27) - ((-78 + 232) * (-86) - 59)", "solution_steps": ["Multiply: -50 * (-27) = 1350", "Add: -78 + 232 = 154", "Multiply: 154 * (-86) = -13244", "Subtract: -13244 - 59 = -13303", "Subtract: 1350 - (-13303) = 14653"], "final_answer": "14653", "answer_type": "integer", "kind": "expression", "math_text": "-50 * (-27) - ((-78 + 232) * (-86) - 59)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (* (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -27, \"c\": -78, \"d\": 232, \"e\": -86, \"f\": 59}", "seed": "16093742414073705121", "semantic_fingerprint": "sha256:ad724f82c79816adb5f2d31b50bd85c80e06ddd0303414ae0ce6c0794b9c3377", "generator_version": "3.0"}
{"id": "v3_val_00001051", "prompt": "Evaluate: -812 + (89 - 6 - (-290))", "solution_steps": ["Subtract: 89 - 6 = 83", "Subtract: 83 - (-290) = 373", "Add: -812 + 373 = -439"], "final_answer": "-439", "answer_type": "integer", "kind": "expression", "math_text": "-812 + (89 - 6 - (-290))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -812, \"b\": 89, \"c\": 6, \"d\": -290}", "seed": "6931525724632486826", "semantic_fingerprint": "sha256:ccfe974bbd2279278dd63b1ccb9373e560ba433064090706f71f54cfa054008c", "generator_version": "3.0"}
{"id": "v3_val_00001052", "prompt": "What is -6 * (-436)?", "solution_steps": ["Multiply: -6 * (-436) = 2616"], "final_answer": "2616", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-436)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -436}", "seed": "6365304926079487346", "semantic_fingerprint": "sha256:304846c96f4fb68c92d4e27345b4c72fe70ff7f57c63eaa33cd48adee5e0337b", "generator_version": "3.0"}
{"id": "v3_val_00001053", "prompt": "Solve for x: -5x - 505 = x - 595", "solution_steps": ["Subtract x from both sides: -6x - 505 = -595", "Add 505 to both sides: -6x = -90", "Divide both sides by -6: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 505 = x - 595", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 505, \"d\": -595, \"x\": 15}", "seed": "10312760369895965059", "semantic_fingerprint": "sha256:50c46732c70e0689d5469a4b92b081f1744c54e988532ecdac98c81853692da3", "generator_version": "3.0"}
{"id": "v3_val_00001054", "prompt": "Solve the equation -7x = 5(x - 95) for x.", "solution_steps": ["Expand: -7x = 5x - 475", "Subtract 5x from both sides: -12x = -475", "Divide both sides by -12: x = 475/12"], "final_answer": "475/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x = 5(x - 95)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 5, \"c\": 95}", "seed": "114733887426529811", "semantic_fingerprint": "sha256:1fc4a61b83f922ffe4d07d164c0306ecb8de364f708d310709822c63b0230c63", "generator_version": "3.0"}
{"id": "v3_val_00001055", "prompt": "What is 259 - 0 + (332 - (-1)) / (-8 + 86)?", "solution_steps": ["Subtract: 259 - 0 = 259", "Subtract: 332 - (-1) = 333", "Add: -8 + 86 = 78", "Divide: 333 / 78 = 111/26", "Add: 259 + 111/26 = 6845/26"], "final_answer": "6845/26", "answer_type": "rational", "kind": "expression", "math_text": "259 - 0 + (332 - (-1)) / (-8 + 86)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (/ (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 259, \"b\": 0, \"c\": 332, \"d\": -1, \"e\": -8, \"f\": 86}", "seed": "6512927336832349971", "semantic_fingerprint": "sha256:b7c6f378ae6e30105227f4016f097d53ef688db92530e45fa1513bd0f0f5a33f", "generator_version": "3.0"}
{"id": "v3_val_00001056", "prompt": "Evaluate: (985 + 87 + 755) / (550 + (-79))", "solution_steps": ["Add: 985 + 87 = 1072", "Add: 1072 + 755 = 1827", "Add: 550 + (-79) = 471", "Divide: 1827 / 471 = 609/157"], "final_answer": "609/157", "answer_type": "rational", "kind": "expression", "math_text": "(985 + 87 + 755) / (550 + (-79))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 985, \"b\": 87, \"c\": 755, \"d\": 550, \"e\": -79}", "seed": "2312052619356764689", "semantic_fingerprint": "sha256:1113234bc98da81830bdca323a4e3019373624e68dce3d2761f2f4b6cf5c6557", "generator_version": "3.0"}
{"id": "v3_val_00001057", "prompt": "What is (577 + 35) / ((-725 + 35) * (-6))?", "solution_steps": ["Add: 577 + 35 = 612", "Add: -725 + 35 = -690", "Multiply: -690 * (-6) = 4140", "Divide: 612 / 4140 = 17/115"], "final_answer": "17/115", "answer_type": "rational", "kind": "expression", "math_text": "(577 + 35) / ((-725 + 35) * (-6))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 577, \"b\": 35, \"c\": -725, \"d\": 35, \"e\": -6}", "seed": "7922195443665822252", "semantic_fingerprint": "sha256:f67141f0cea59a594c43e5db9f61b97c28e62e28f52d684d076386194ce1a060", "generator_version": "3.0"}
{"id": "v3_val_00001058", "prompt": "Solve the equation -2x + 5 = 53 for x.", "solution_steps": ["Subtract 5 from both sides: -2x = 48", "Divide both sides by -2: x = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x + 5 = 53", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": 53}", "seed": "1292343824522134409", "semantic_fingerprint": "sha256:420eccbe6494856a61bdd6c606d326a61ff73649d72cd2135322cfabe51807d0", "generator_version": "3.0"}
{"id": "v3_val_00001059", "prompt": "Solve the equation x + 60 = -5x for x.", "solution_steps": ["Add 5x to both sides: 6x + 60 = 0", "Subtract 60 from both sides: 6x = -60", "Divide both sides by 6: x = -10"], "final_answer": "-10", "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\": -10}", "seed": "17393617882909365426", "semantic_fingerprint": "sha256:296b2420af9fce9f4e47ef8d20420abc30e3b0f53c4cb5db659869de1d09eee8", "generator_version": "3.0"}
{"id": "v3_val_00001060", "prompt": "What value of x satisfies x + 37 = -11(x + 66) + 751?", "solution_steps": ["Expand: x + 37 = -11x - 726 + 751", "Combine constants: x + 37 = -11x + 25", "Add 11x to both sides: 12x + 37 = 25", "Subtract 37 from both sides: 12x = -12", "Divide both sides by 12: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 37 = -11(x + 66) + 751", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -11, \"c\": 66, \"e\": 751, \"x\": -1}", "seed": "3004891555324159093", "semantic_fingerprint": "sha256:e82c06d16a3646dc3fcb87080a37522a0e863bd48e3942a0abad847e4943b7b9", "generator_version": "3.0"}
{"id": "v3_val_00001061", "prompt": "Find x: 8(x + 2) = -8(x + 36) + 84", "solution_steps": ["Expand: 8x + 16 = -8(x + 36) + 84", "Expand: 8x + 16 = -8x - 288 + 84", "Combine constants: 8x + 16 = -8x - 204", "Add 8x to both sides: 16x + 16 = -204", "Subtract 16 from both sides: 16x = -220", "Divide both sides by 16: x = -55/4"], "final_answer": "-55/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 2) = -8(x + 36) + 84", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": -8, \"d\": 36, \"e\": 84}", "seed": "13209499000418199571", "semantic_fingerprint": "sha256:e298e77844385d1ea2247daa49d1da39037e85d8d1d7b20443571e20cc13c48b", "generator_version": "3.0"}
{"id": "v3_val_00001062", "prompt": "Compute: -6 + 33 + (-75 - 2)", "solution_steps": ["Add: -6 + 33 = 27", "Subtract: -75 - 2 = -77", "Add: 27 + (-77) = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 33 + (-75 - 2)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 33, \"c\": -75, \"d\": 2}", "seed": "16528711620264120317", "semantic_fingerprint": "sha256:41c30c12aaf1a9bbf775dd06e1375d626935bd1b09d661158ba2f99d5afcbd1d", "generator_version": "3.0"}
{"id": "v3_val_00001063", "prompt": "Compute: -42 / 21 * (54 / (-38) + (5 - (-139)))", "solution_steps": ["Divide: -42 / 21 = -2", "Divide: 54 / (-38) = -27/19", "Subtract: 5 - (-139) = 144", "Add: -27/19 + 144 = 2709/19", "Multiply: -2 * (2709/19) = -5418/19"], "final_answer": "-5418/19", "answer_type": "rational", "kind": "expression", "math_text": "-42 / 21 * (54 / (-38) + (5 - (-139)))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (+ (/ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 21, \"c\": 54, \"d\": -38, \"e\": 5, \"f\": -139}", "seed": "8986719449552975779", "semantic_fingerprint": "sha256:c0826dc9e028d6d051af6493c3c38a2d4088284d6ff20e0b7b46aa5e3cff1d39", "generator_version": "3.0"}
{"id": "v3_val_00001064", "prompt": "Solve the equation 9(x + 2) = -3(x + 94) + 312 for x.", "solution_steps": ["Expand: 9x + 18 = -3(x + 94) + 312", "Expand: 9x + 18 = -3x - 282 + 312", "Combine constants: 9x + 18 = -3x + 30", "Add 3x to both sides: 12x + 18 = 30", "Subtract 18 from both sides: 12x = 12", "Divide both sides by 12: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 2) = -3(x + 94) + 312", "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\": -3, \"d\": 94, \"f\": 312, \"x\": 1}", "seed": "45680472312002510", "semantic_fingerprint": "sha256:ad37aa5744e86248e08de114c7842b56ffe8551ccfa85eb9bae6bd1bfe7551dc", "generator_version": "3.0"}
{"id": "v3_val_00001065", "prompt": "What is -73 - (-32)?", "solution_steps": ["Subtract: -73 - (-32) = -41"], "final_answer": "-41", "answer_type": "integer", "kind": "expression", "math_text": "-73 - (-32)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -32}", "seed": "7600182289577616864", "semantic_fingerprint": "sha256:6d963566e06e2ff139f31c67867a83bc7a6a3a2de025eddff2f0a038322ed000", "generator_version": "3.0"}
{"id": "v3_val_00001066", "prompt": "Evaluate: 9 * (-82)", "solution_steps": ["Multiply: 9 * (-82) = -738"], "final_answer": "-738", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-82)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -82}", "seed": "6120646988032704643", "semantic_fingerprint": "sha256:3f7cb92e5d72ffe281bec03cd614c3dc8eaaf9228b456261c05f59e618c3d9c4", "generator_version": "3.0"}
{"id": "v3_val_00001067", "prompt": "What value of x satisfies -6(x - 6) - 313 = 6(x + 34) - 697?", "solution_steps": ["Expand: -6x + 36 - 313 = 6(x + 34) - 697", "Expand: -6x + 36 - 313 = 6x + 204 - 697", "Combine constants: -6x - 277 = 6x + 204 - 697", "Combine constants: -6x - 277 = 6x - 493", "Subtract 6x from both sides: -12x - 277 = -493", "Add 277 to both sides: -12x = -216", "Divide both sides by -12: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 6) - 313 = 6(x + 34) - 697", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 313, \"d\": 6, \"e\": 34, \"g\": -697, \"x\": 18}", "seed": "16700249132700273621", "semantic_fingerprint": "sha256:a666fcc5ece0cfd71f056bbc8f2bbef014daddfffab62f0a804872df7232ee47", "generator_version": "3.0"}
{"id": "v3_val_00001068", "prompt": "Solve for x: x = -2(x - 91) - 194", "solution_steps": ["Expand: x = -2x + 182 - 194", "Combine constants: x = -2x - 12", "Add 2x to both sides: 3x = -12", "Divide both sides by 3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -2(x - 91) - 194", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 91, \"d\": -194, \"x\": -4}", "seed": "2781670004111983058", "semantic_fingerprint": "sha256:63c29760deb93a801684b3146c2db24d703a549fc214aa6d2baa509453230a8d", "generator_version": "3.0"}
{"id": "v3_val_00001069", "prompt": "Calculate: 2 * 111", "solution_steps": ["Multiply: 2 * 111 = 222"], "final_answer": "222", "answer_type": "integer", "kind": "expression", "math_text": "2 * 111", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 111}", "seed": "17886912247318683930", "semantic_fingerprint": "sha256:523a6b99f3b9beb7daaf8cbf02a4dad45e0001b5a6a735e24a3313c7fb893930", "generator_version": "3.0"}
{"id": "v3_val_00001070", "prompt": "Solve for x: 11(x + 42) + 2 = -6x + 243", "solution_steps": ["Expand: 11x + 462 + 2 = -6x + 243", "Combine constants: 11x + 464 = -6x + 243", "Add 6x to both sides: 17x + 464 = 243", "Subtract 464 from both sides: 17x = -221", "Divide both sides by 17: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 42) + 2 = -6x + 243", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 42, \"c\": 2, \"d\": -6, \"f\": 243, \"x\": -13}", "seed": "10821528299059520345", "semantic_fingerprint": "sha256:19a5c893e7a1c8b9c97d321c53c05a0b8c2898ec62fb30745a38b663ba32627f", "generator_version": "3.0"}
{"id": "v3_val_00001071", "prompt": "What value of x satisfies 9(x + 470) + 923 = -6x - 9?", "solution_steps": ["Expand: 9x + 4230 + 923 = -6x - 9", "Combine constants: 9x + 5153 = -6x - 9", "Add 6x to both sides: 15x + 5153 = -9", "Subtract 5153 from both sides: 15x = -5162", "Divide both sides by 15: x = -5162/15"], "final_answer": "-5162/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 470) + 923 = -6x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 470, \"c\": 923, \"d\": -6, \"e\": 9}", "seed": "1030748275166342101", "semantic_fingerprint": "sha256:f9e6120f3329459427fa172cd7be0ee185b70346839afe0c95f228b1bbac215f", "generator_version": "3.0"}
{"id": "v3_val_00001072", "prompt": "What value of x satisfies 4(x - 1) = 6(x + 13) - 54?", "solution_steps": ["Expand: 4x - 4 = 6(x + 13) - 54", "Expand: 4x - 4 = 6x + 78 - 54", "Combine constants: 4x - 4 = 6x + 24", "Subtract 6x from both sides: -2x - 4 = 24", "Add 4 to both sides: -2x = 28", "Divide both sides by -2: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) = 6(x + 13) - 54", "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\": 13, \"f\": -54, \"x\": -14}", "seed": "17786349411765637822", "semantic_fingerprint": "sha256:5f13c87f4ee653721a4f4091cbda13c2bc6877f489f045bbd1d446a29b79827d", "generator_version": "3.0"}
{"id": "v3_val_00001073", "prompt": "What value of x satisfies 8(x + 2) + 439 = 5x + 488?", "solution_steps": ["Expand: 8x + 16 + 439 = 5x + 488", "Combine constants: 8x + 455 = 5x + 488", "Subtract 5x from both sides: 3x + 455 = 488", "Subtract 455 from both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 2) + 439 = 5x + 488", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 439, \"d\": 5, \"f\": 488, \"x\": 11}", "seed": "9655221809700964151", "semantic_fingerprint": "sha256:df2bbe56f00e4501ac4172a48d8c7ee2f5bc405bb49b53939121f52f7dd45c35", "generator_version": "3.0"}
{"id": "v3_val_00001074", "prompt": "Compute: 4 + (-60 + (-67 + 744))", "solution_steps": ["Add: -67 + 744 = 677", "Add: -60 + 677 = 617", "Add: 4 + 617 = 621"], "final_answer": "621", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-60 + (-67 + 744))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -60, \"c\": -67, \"d\": 744}", "seed": "2401525029010747446", "semantic_fingerprint": "sha256:8682bbe3deb94dcd68209ece98413d6f695e091335707866315394e0a875ea56", "generator_version": "3.0"}
{"id": "v3_val_00001075", "prompt": "Find x: 5(x + 812) - 49 = 8(x - 136) - 84", "solution_steps": ["Expand: 5x + 4060 - 49 = 8(x - 136) - 84", "Expand: 5x + 4060 - 49 = 8x - 1088 - 84", "Combine constants: 5x + 4011 = 8x - 1088 - 84", "Combine constants: 5x + 4011 = 8x - 1172", "Subtract 8x from both sides: -3x + 4011 = -1172", "Subtract 4011 from both sides: -3x = -5183", "Divide both sides by -3: x = 5183/3"], "final_answer": "5183/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 812) - 49 = 8(x - 136) - 84", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 812, \"c\": 49, \"d\": 8, \"e\": 136, \"f\": 84}", "seed": "15202320289604384890", "semantic_fingerprint": "sha256:c635939c722c60a6b6138b9203065c2f9e47138938e84a3e4498e27bbcc52e0a", "generator_version": "3.0"}
{"id": "v3_val_00001076", "prompt": "What value of x satisfies 6(x - 38) = 5(x - 5)?", "solution_steps": ["Expand: 6x - 228 = 5(x - 5)", "Expand: 6x - 228 = 5x - 25", "Subtract 5x from both sides: x - 228 = -25", "Add 228 to both sides: x = 203"], "final_answer": "203", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 38) = 5(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 38, \"c\": 5, \"d\": 5}", "seed": "2425121600773375353", "semantic_fingerprint": "sha256:b2de920e6280de8e5a68b4888a0367bbac8e8f4a65a7417c931e7b65717f62a1", "generator_version": "3.0"}
{"id": "v3_val_00001077", "prompt": "Calculate: -245 / (-8 - (-10)) + (-8) / 10", "solution_steps": ["Subtract: -8 - (-10) = 2", "Divide: -245 / 2 = -245/2", "Divide: -8 / 10 = -4/5", "Add: -245/2 + (-4/5) = -1233/10"], "final_answer": "-1233/10", "answer_type": "rational", "kind": "expression", "math_text": "-245 / (-8 - (-10)) + (-8) / 10", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -245, \"b\": -8, \"c\": -10, \"d\": -8, \"e\": 10}", "seed": "7280094061460030809", "semantic_fingerprint": "sha256:f786627b71ab56bd8cf020cbd88df45a78b1c6dc0ff3f0c8df70cdd601729729", "generator_version": "3.0"}
{"id": "v3_val_00001078", "prompt": "Calculate: -10 + (-9) * 4", "solution_steps": ["Multiply: -9 * 4 = -36", "Add: -10 + (-36) = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "-10 + (-9) * 4", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -9, \"c\": 4}", "seed": "7737122801929110431", "semantic_fingerprint": "sha256:ff92d46fefaadd6851cee2594376b030433bb9fd814d542ef4f0408559856d02", "generator_version": "3.0"}
{"id": "v3_val_00001079", "prompt": "Find x: -6(x + 88) = 12x + 6", "solution_steps": ["Expand: -6x - 528 = 12x + 6", "Subtract 12x from both sides: -18x - 528 = 6", "Add 528 to both sides: -18x = 534", "Divide both sides by -18: x = -89/3"], "final_answer": "-89/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 88) = 12x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 88, \"c\": 12, \"d\": 6}", "seed": "7291750522990993117", "semantic_fingerprint": "sha256:0062a3f2fdf8303465831e4fb3ce795bd22683dc2ef931d0b9d1b1d5e9b25474", "generator_version": "3.0"}
{"id": "v3_val_00001080", "prompt": "Solve the equation x = 2(x - 15) + 922 for x.", "solution_steps": ["Expand: x = 2x - 30 + 922", "Combine constants: x = 2x + 892", "Subtract 2x from both sides: -x = 892", "Divide both sides by -1: x = -892"], "final_answer": "-892", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x - 15) + 922", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 15, \"c\": 922}", "seed": "5786005413343817320", "semantic_fingerprint": "sha256:803c0c237479d7b83997bf3834747dcd0bdf77e53b27cee538e6dab8cfd90a61", "generator_version": "3.0"}
{"id": "v3_val_00001081", "prompt": "Calculate: 2 * (-3 * (-63 * (-51 + 81)))", "solution_steps": ["Add: -51 + 81 = 30", "Multiply: -63 * 30 = -1890", "Multiply: -3 * (-1890) = 5670", "Multiply: 2 * 5670 = 11340"], "final_answer": "11340", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-3 * (-63 * (-51 + 81)))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (* n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -3, \"c\": -63, \"d\": -51, \"e\": 81}", "seed": "6499147756224246749", "semantic_fingerprint": "sha256:26110e591ec9c523ff12d871f6df61a868aefda472d529a8b2fe111738e21b62", "generator_version": "3.0"}
{"id": "v3_val_00001082", "prompt": "Solve the equation 11x = -10(x - 80) - 926 for x.", "solution_steps": ["Expand: 11x = -10x + 800 - 926", "Combine constants: 11x = -10x - 126", "Add 10x to both sides: 21x = -126", "Divide both sides by 21: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -10(x - 80) - 926", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -10, \"c\": 80, \"e\": -926, \"x\": -6}", "seed": "11372203795380667616", "semantic_fingerprint": "sha256:4d54eadf195d6aa1113843518bc749eba60c4e2ab87b1511ee8961b06c306ed9", "generator_version": "3.0"}
{"id": "v3_val_00001083", "prompt": "What is -35 - 53 - (-42)?", "solution_steps": ["Subtract: -35 - 53 = -88", "Subtract: -88 - (-42) = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "-35 - 53 - (-42)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 53, \"c\": -42}", "seed": "16657732843536366851", "semantic_fingerprint": "sha256:c1f5607a26c3892b81d7d79e9b121b6d4b00877c7d414d0ff438fa1aec35c00b", "generator_version": "3.0"}
{"id": "v3_val_00001084", "prompt": "Solve the equation -11(x + 9) = -6(x + 1) - 143 for x.", "solution_steps": ["Expand: -11x - 99 = -6(x + 1) - 143", "Expand: -11x - 99 = -6x - 6 - 143", "Combine constants: -11x - 99 = -6x - 149", "Add 6x to both sides: -5x - 99 = -149", "Add 99 to both sides: -5x = -50", "Divide both sides by -5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 9) = -6(x + 1) - 143", "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\": -6, \"d\": 1, \"f\": -143, \"x\": 10}", "seed": "1308343302390492972", "semantic_fingerprint": "sha256:b6e55ff2fdd991e14700347f5d5694ffe92512e3573bb57f1204b0d049601d72", "generator_version": "3.0"}
{"id": "v3_val_00001085", "prompt": "Calculate: -1 + (-47 - (-19))", "solution_steps": ["Subtract: -47 - (-19) = -28", "Add: -1 + (-28) = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-47 - (-19))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -47, \"c\": -19}", "seed": "8104993692215437983", "semantic_fingerprint": "sha256:3f5dbaba5fd7c314c01af3989688625aed2945b7eb9fe1a91dfdf0e9accdc730", "generator_version": "3.0"}
{"id": "v3_val_00001086", "prompt": "Calculate: -11 - 0", "solution_steps": ["Subtract: -11 - 0 = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "expression", "math_text": "-11 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 0}", "seed": "1259507754156142111", "semantic_fingerprint": "sha256:fffa3d38aa24051a19743c4bea3ffc911858455e0cb32a8dc08f6477582524b1", "generator_version": "3.0"}
{"id": "v3_val_00001087", "prompt": "Compute: 41 * (-96) - (-425)", "solution_steps": ["Multiply: 41 * (-96) = -3936", "Subtract: -3936 - (-425) = -3511"], "final_answer": "-3511", "answer_type": "integer", "kind": "expression", "math_text": "41 * (-96) - (-425)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -96, \"c\": -425}", "seed": "18378909414193623387", "semantic_fingerprint": "sha256:aecde2eca79ee42fb7825c14d5212d451ebe69466c9c90c928a11662806dcec3", "generator_version": "3.0"}
{"id": "v3_val_00001088", "prompt": "Calculate: -6 * ((55 + (-819)) * (-8) - (-99 - (-2)))", "solution_steps": ["Add: 55 + (-819) = -764", "Multiply: -764 * (-8) = 6112", "Subtract: -99 - (-2) = -97", "Subtract: 6112 - (-97) = 6209", "Multiply: -6 * 6209 = -37254"], "final_answer": "-37254", "answer_type": "integer", "kind": "expression", "math_text": "-6 * ((55 + (-819)) * (-8) - (-99 - (-2)))", "variable": null, "family": "expression_5op", "shape": "(* n (- (* (+ n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 55, \"c\": -819, \"d\": -8, \"e\": -99, \"f\": -2}", "seed": "12401922165388767840", "semantic_fingerprint": "sha256:1ad5e042be46288fde3166aec9ee33f29609b83a3f1b3c722eee09f65eca4cd8", "generator_version": "3.0"}
{"id": "v3_val_00001089", "prompt": "Compute: (-96 * (-604) - 65) * (-8)", "solution_steps": ["Multiply: -96 * (-604) = 57984", "Subtract: 57984 - 65 = 57919", "Multiply: 57919 * (-8) = -463352"], "final_answer": "-463352", "answer_type": "integer", "kind": "expression", "math_text": "(-96 * (-604) - 65) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -604, \"c\": 65, \"d\": -8}", "seed": "13623380707350441835", "semantic_fingerprint": "sha256:dcd7603128df694b2c2293a83dcd1a7f846c0ac83df7b0ba024b6a397f0545af", "generator_version": "3.0"}
{"id": "v3_val_00001090", "prompt": "Calculate: 7 / (-86) + (-743 - (-5))", "solution_steps": ["Divide: 7 / (-86) = -7/86", "Subtract: -743 - (-5) = -738", "Add: -7/86 + (-738) = -63475/86"], "final_answer": "-63475/86", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-86) + (-743 - (-5))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -86, \"c\": -743, \"d\": -5}", "seed": "15690422956412897482", "semantic_fingerprint": "sha256:69275d8de22acbcc375c1ebec19f7ff4010796009d547bf913997f8f100d2da8", "generator_version": "3.0"}
{"id": "v3_val_00001091", "prompt": "Calculate: 8 + (-30 + (-4 - 1)) / (-80)", "solution_steps": ["Subtract: -4 - 1 = -5", "Add: -30 + (-5) = -35", "Divide: -35 / (-80) = 7/16", "Add: 8 + 7/16 = 135/16"], "final_answer": "135/16", "answer_type": "rational", "kind": "expression", "math_text": "8 + (-30 + (-4 - 1)) / (-80)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -30, \"c\": -4, \"d\": 1, \"e\": -80}", "seed": "18296454868914825274", "semantic_fingerprint": "sha256:dd602671839e83249a4a2295f728f9063cbc2e72bc1668a0bcd3fcba9e98db9f", "generator_version": "3.0"}
{"id": "v3_val_00001092", "prompt": "Find x: 10x = x + 36", "solution_steps": ["Subtract x from both sides: 9x = 36", "Divide both sides by 9: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = x + 36", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": 36, \"x\": 4}", "seed": "15607059719479101863", "semantic_fingerprint": "sha256:e9fb8e55f2918dca38aaef2dc2d4c2f4db7ab19f7ac4bcbf8c42fa7bd9b708d4", "generator_version": "3.0"}
{"id": "v3_val_00001093", "prompt": "What value of x satisfies 2(x - 62) + 387 = x + 244?", "solution_steps": ["Expand: 2x - 124 + 387 = x + 244", "Combine constants: 2x + 263 = x + 244", "Subtract x from both sides: x + 263 = 244", "Subtract 263 from both sides: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 62) + 387 = x + 244", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 62, \"c\": 387, \"e\": 244, \"x\": -19}", "seed": "1245480933557000425", "semantic_fingerprint": "sha256:85a97378129491f95d5b98a7991a7d350fb9e5e350f2730db81c1a1e42af5a94", "generator_version": "3.0"}
{"id": "v3_val_00001094", "prompt": "Solve for x: x + 49 = 8x", "solution_steps": ["Subtract 8x 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": "x + 49 = 8x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": 49, \"x\": 7}", "seed": "1189385567628981425", "semantic_fingerprint": "sha256:ca725be18d6944aec2434a3ca5c2008f2d6b67cf7ffb266f4203a628c3e03f10", "generator_version": "3.0"}
{"id": "v3_val_00001095", "prompt": "What is 506 + 0?", "solution_steps": ["Add: 506 + 0 = 506"], "final_answer": "506", "answer_type": "integer", "kind": "expression", "math_text": "506 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 506, \"b\": 0}", "seed": "12333860176208419132", "semantic_fingerprint": "sha256:3ac8b0e3f333f233b0db5f85b13fbb1534aed22c7ab5bc4e0ede4f8fe44a2064", "generator_version": "3.0"}
{"id": "v3_val_00001096", "prompt": "Calculate: 9 * (-467 / (-342 / (-4)))", "solution_steps": ["Divide: -342 / (-4) = 171/2", "Divide: -467 / (171/2) = -934/171", "Multiply: 9 * (-934/171) = -934/19"], "final_answer": "-934/19", "answer_type": "rational", "kind": "expression", "math_text": "9 * (-467 / (-342 / (-4)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -467, \"c\": -342, \"d\": -4}", "seed": "8124975092011961804", "semantic_fingerprint": "sha256:e54ede42e5faef8544dd965e50808a52c0f6fa796caabdf2746e27c702e37540", "generator_version": "3.0"}
{"id": "v3_val_00001097", "prompt": "Solve for x: 2x - 68 = -2x", "solution_steps": ["Add 2x to both sides: 4x - 68 = 0", "Add 68 to both sides: 4x = 68", "Divide both sides by 4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 68 = -2x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -2, \"d\": -68, \"x\": 17}", "seed": "5552838561048434996", "semantic_fingerprint": "sha256:1c11ad5445016839992d6b1800dcae981f2dc8a7002effb27d2913a10537137d", "generator_version": "3.0"}
{"id": "v3_val_00001098", "prompt": "What is -24 - 0?", "solution_steps": ["Subtract: -24 - 0 = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "expression", "math_text": "-24 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 0}", "seed": "7689329388701140991", "semantic_fingerprint": "sha256:4eea595be5ea082c795de7b15ae27a65de889964f36759021a29d19d1ce0dd55", "generator_version": "3.0"}
{"id": "v3_val_00001099", "prompt": "What is (121 - 382) / 42 + (-956) * (-24 + 2)?", "solution_steps": ["Subtract: 121 - 382 = -261", "Divide: -261 / 42 = -87/14", "Add: -24 + 2 = -22", "Multiply: -956 * (-22) = 21032", "Add: -87/14 + 21032 = 294361/14"], "final_answer": "294361/14", "answer_type": "rational", "kind": "expression", "math_text": "(121 - 382) / 42 + (-956) * (-24 + 2)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 121, \"b\": 382, \"c\": 42, \"d\": -956, \"e\": -24, \"f\": 2}", "seed": "4475579411770847275", "semantic_fingerprint": "sha256:36ae9e728eb62f9db6b49f9d6ec5263724994f9f347989d1abd27356ec792795", "generator_version": "3.0"}
{"id": "v3_val_00001100", "prompt": "What value of x satisfies 9(x - 9) - 59 = x - 29?", "solution_steps": ["Expand: 9x - 81 - 59 = x - 29", "Combine constants: 9x - 140 = x - 29", "Subtract x from both sides: 8x - 140 = -29", "Add 140 to both sides: 8x = 111", "Divide both sides by 8: x = 111/8"], "final_answer": "111/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 9) - 59 = x - 29", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 59, \"d\": 29}", "seed": "7078140334814161502", "semantic_fingerprint": "sha256:63171711ff8635cbb18e84eeddac8fb1375877bdea1771ae1c1e32e9306c312c", "generator_version": "3.0"}
{"id": "v3_val_00001101", "prompt": "Find x: 11(x + 43) + 918 = -7(x - 16) + 6", "solution_steps": ["Expand: 11x + 473 + 918 = -7(x - 16) + 6", "Expand: 11x + 473 + 918 = -7x + 112 + 6", "Combine constants: 11x + 1391 = -7x + 112 + 6", "Combine constants: 11x + 1391 = -7x + 118", "Add 7x to both sides: 18x + 1391 = 118", "Subtract 1391 from both sides: 18x = -1273", "Divide both sides by 18: x = -1273/18"], "final_answer": "-1273/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 43) + 918 = -7(x - 16) + 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\": 43, \"c\": 918, \"d\": -7, \"e\": 16, \"f\": 6}", "seed": "8677500345917944098", "semantic_fingerprint": "sha256:e358d01fdecb58176572d94e71a9a1417c681b0581b783c980d324a6d7d174f6", "generator_version": "3.0"}
{"id": "v3_val_00001102", "prompt": "Evaluate: -455 * 786 + (-82)", "solution_steps": ["Multiply: -455 * 786 = -357630", "Add: -357630 + (-82) = -357712"], "final_answer": "-357712", "answer_type": "integer", "kind": "expression", "math_text": "-455 * 786 + (-82)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -455, \"b\": 786, \"c\": -82}", "seed": "9555366134425497348", "semantic_fingerprint": "sha256:089eaf56062762aeb380ee7b58ad043bda195d9d171657b4a9f04a937a933c28", "generator_version": "3.0"}
{"id": "v3_val_00001103", "prompt": "Calculate: 1 + (-800)", "solution_steps": ["Add: 1 + (-800) = -799"], "final_answer": "-799", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-800)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -800}", "seed": "14707325692136779049", "semantic_fingerprint": "sha256:7d6036ee7c33931b85156b4338d0c9c73dd21da8fbdb4ecf91d320b9aca72178", "generator_version": "3.0"}
{"id": "v3_val_00001104", "prompt": "Evaluate: 99 * 799", "solution_steps": ["Multiply: 99 * 799 = 79101"], "final_answer": "79101", "answer_type": "integer", "kind": "expression", "math_text": "99 * 799", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 799}", "seed": "6411060790495185053", "semantic_fingerprint": "sha256:8c29eef67146ad01df359b0b318083ed3564b148ea3c5196d0ba3722ffcc1159", "generator_version": "3.0"}
{"id": "v3_val_00001105", "prompt": "Evaluate: 32 - (-4) / (-614)", "solution_steps": ["Divide: -4 / (-614) = 2/307", "Subtract: 32 - 2/307 = 9822/307"], "final_answer": "9822/307", "answer_type": "rational", "kind": "expression", "math_text": "32 - (-4) / (-614)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -4, \"c\": -614}", "seed": "7364399190687647573", "semantic_fingerprint": "sha256:cd628e4a4407e40b4e50616179bc42e21f88e35288d7529427a2b404fb94a30b", "generator_version": "3.0"}
{"id": "v3_val_00001106", "prompt": "What is 6 * (-52 * (38 + (-2)))?", "solution_steps": ["Add: 38 + (-2) = 36", "Multiply: -52 * 36 = -1872", "Multiply: 6 * (-1872) = -11232"], "final_answer": "-11232", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-52 * (38 + (-2)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -52, \"c\": 38, \"d\": -2}", "seed": "16274478203594936589", "semantic_fingerprint": "sha256:e8598734cba064528580a1a38caa85a96d11bd4c9ecc6f1e0b9c9b95930f789a", "generator_version": "3.0"}
{"id": "v3_val_00001107", "prompt": "Evaluate: 6 * (-73)", "solution_steps": ["Multiply: 6 * (-73) = -438"], "final_answer": "-438", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-73)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -73}", "seed": "17999287710488148391", "semantic_fingerprint": "sha256:69c63fb21b1a2658640e34a8ed82eb0e6f0a238cc905ae57359d953e386b518e", "generator_version": "3.0"}
{"id": "v3_val_00001108", "prompt": "Solve the equation 7(x + 87) - 567 = x for x.", "solution_steps": ["Expand: 7x + 609 - 567 = x", "Combine constants: 7x + 42 = x", "Subtract x from both sides: 6x + 42 = 0", "Subtract 42 from both sides: 6x = -42", "Divide both sides by 6: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 87) - 567 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 87, \"d\": -567, \"x\": -7}", "seed": "532567959661709272", "semantic_fingerprint": "sha256:74e1248a4dad511236fe2941cba76219fa721719cfd5a8571f32015c5fe6ff84", "generator_version": "3.0"}
{"id": "v3_val_00001109", "prompt": "What is -758 * 2 * (-2 - (-5))?", "solution_steps": ["Multiply: -758 * 2 = -1516", "Subtract: -2 - (-5) = 3", "Multiply: -1516 * 3 = -4548"], "final_answer": "-4548", "answer_type": "integer", "kind": "expression", "math_text": "-758 * 2 * (-2 - (-5))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -758, \"b\": 2, \"c\": -2, \"d\": -5}", "seed": "1713331303231005176", "semantic_fingerprint": "sha256:8d320a757579c4bdc97b17e7776cbd6a56046a8d41c6c19589a3aee1e6f2a20a", "generator_version": "3.0"}
{"id": "v3_val_00001110", "prompt": "Evaluate: (59 - 70) / (-8)", "solution_steps": ["Subtract: 59 - 70 = -11", "Divide: -11 / (-8) = 11/8"], "final_answer": "11/8", "answer_type": "rational", "kind": "expression", "math_text": "(59 - 70) / (-8)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 70, \"c\": -8}", "seed": "4377011106463336491", "semantic_fingerprint": "sha256:4a65c165f93e97a482713424174fc6b958707271e6533b87547ad6cb51c82359", "generator_version": "3.0"}
{"id": "v3_val_00001111", "prompt": "Calculate: -67 + (187 - (-5) * 96)", "solution_steps": ["Multiply: -5 * 96 = -480", "Subtract: 187 - (-480) = 667", "Add: -67 + 667 = 600"], "final_answer": "600", "answer_type": "integer", "kind": "expression", "math_text": "-67 + (187 - (-5) * 96)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 187, \"c\": -5, \"d\": 96}", "seed": "18034815864272586672", "semantic_fingerprint": "sha256:60ebc0a5ec110961dda7a6c3a074b5ce0a02131068db09ff06a4a1d1599a0581", "generator_version": "3.0"}
{"id": "v3_val_00001112", "prompt": "Find x: 6x - 887 = x - 927", "solution_steps": ["Subtract x from both sides: 5x - 887 = -927", "Add 887 to both sides: 5x = -40", "Divide both sides by 5: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 887 = x - 927", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 887, \"d\": -927, \"x\": -8}", "seed": "1862537172947619768", "semantic_fingerprint": "sha256:00ff4a1bcf240dc96fb01d27b73d935ff0224ba13bb81f5c56805fada7b942d8", "generator_version": "3.0"}
{"id": "v3_val_00001113", "prompt": "Calculate: -7 + (-726) / (711 * 3)", "solution_steps": ["Multiply: 711 * 3 = 2133", "Divide: -726 / 2133 = -242/711", "Add: -7 + (-242/711) = -5219/711"], "final_answer": "-5219/711", "answer_type": "rational", "kind": "expression", "math_text": "-7 + (-726) / (711 * 3)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -726, \"c\": 711, \"d\": 3}", "seed": "4126298801597351748", "semantic_fingerprint": "sha256:baa4db80712f4248f551492ab4f66cb7ab1ddd3f41baef57b78d2ff548388c6d", "generator_version": "3.0"}
{"id": "v3_val_00001114", "prompt": "What value of x satisfies 10(x + 1) - 88 = -268?", "solution_steps": ["Expand: 10x + 10 - 88 = -268", "Combine constants: 10x - 78 = -268", "Add 78 to both sides: 10x = -190", "Divide both sides by 10: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 1) - 88 = -268", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 88, \"e\": -268, \"x\": -19}", "seed": "15377619023964068858", "semantic_fingerprint": "sha256:31c06f3152882b8eb9c3cdeba2050a214d188e1a421f9d4c08186d200a38f4d6", "generator_version": "3.0"}
{"id": "v3_val_00001115", "prompt": "Calculate: (834 + 73 * (-87)) / (-59 / (-1) + 749)", "solution_steps": ["Multiply: 73 * (-87) = -6351", "Add: 834 + (-6351) = -5517", "Divide: -59 / (-1) = 59", "Add: 59 + 749 = 808", "Divide: -5517 / 808 = -5517/808"], "final_answer": "-5517/808", "answer_type": "rational", "kind": "expression", "math_text": "(834 + 73 * (-87)) / (-59 / (-1) + 749)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (* n n)) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 834, \"b\": 73, \"c\": -87, \"d\": -59, \"e\": -1, \"f\": 749}", "seed": "10428178337840915452", "semantic_fingerprint": "sha256:f3be13d37fbe2c9e6e6318858229d41481fee033802cfcaa087f862d445ae6b0", "generator_version": "3.0"}
{"id": "v3_val_00001116", "prompt": "Calculate: -1 * (-33 + 12 / 45)", "solution_steps": ["Divide: 12 / 45 = 4/15", "Add: -33 + 4/15 = -491/15", "Multiply: -1 * (-491/15) = 491/15"], "final_answer": "491/15", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-33 + 12 / 45)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -33, \"c\": 12, \"d\": 45}", "seed": "11813275392692219928", "semantic_fingerprint": "sha256:71ecc357b9cbb91b2d76ea8de72657f49342811ca5ed4550e51f7a8535406fd9", "generator_version": "3.0"}
{"id": "v3_val_00001117", "prompt": "Evaluate: 35 * (94 / 215)", "solution_steps": ["Divide: 94 / 215 = 94/215", "Multiply: 35 * (94/215) = 658/43"], "final_answer": "658/43", "answer_type": "rational", "kind": "expression", "math_text": "35 * (94 / 215)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 94, \"c\": 215}", "seed": "6389787883642125252", "semantic_fingerprint": "sha256:a91cd918cf4c4a6696a31d2810890663936755b0aa74e90f880308a5f0d5264b", "generator_version": "3.0"}
{"id": "v3_val_00001118", "prompt": "Calculate: 2 - (-61) - 0 / ((-94 + 75) * 41)", "solution_steps": ["Subtract: 2 - (-61) = 63", "Add: -94 + 75 = -19", "Multiply: -19 * 41 = -779", "Divide: 0 / (-779) = 0", "Subtract: 63 - 0 = 63"], "final_answer": "63", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-61) - 0 / ((-94 + 75) * 41)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ n (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -61, \"c\": 0, \"d\": -94, \"e\": 75, \"f\": 41}", "seed": "3090439810115142472", "semantic_fingerprint": "sha256:129c78d3e054414e0740c9a947dfe728432e5e3104d6011dce2ac7d6b960e84c", "generator_version": "3.0"}
{"id": "v3_val_00001119", "prompt": "Calculate: 9 * 4 - 5", "solution_steps": ["Multiply: 9 * 4 = 36", "Subtract: 36 - 5 = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "9 * 4 - 5", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 5}", "seed": "11054406223492972118", "semantic_fingerprint": "sha256:6fd476b0f958d61f5c6314448393008debaec0df74bba4af330e1c6e40380100", "generator_version": "3.0"}
{"id": "v3_val_00001120", "prompt": "What is -22 / 95 * (-8)?", "solution_steps": ["Divide: -22 / 95 = -22/95", "Multiply: (-22/95) * (-8) = 176/95"], "final_answer": "176/95", "answer_type": "rational", "kind": "expression", "math_text": "-22 / 95 * (-8)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 95, \"c\": -8}", "seed": "15119543449925797163", "semantic_fingerprint": "sha256:07d10d5fdcc99abd20e4876f99b699dfdcd558723a5191dcf44dff2852e46716", "generator_version": "3.0"}
{"id": "v3_val_00001121", "prompt": "Find x: 7(x - 74) + 86 = 2(x - 620) + 788", "solution_steps": ["Expand: 7x - 518 + 86 = 2(x - 620) + 788", "Expand: 7x - 518 + 86 = 2x - 1240 + 788", "Combine constants: 7x - 432 = 2x - 1240 + 788", "Combine constants: 7x - 432 = 2x - 452", "Subtract 2x from both sides: 5x - 432 = -452", "Add 432 to both sides: 5x = -20", "Divide both sides by 5: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 74) + 86 = 2(x - 620) + 788", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 74, \"c\": 86, \"d\": 2, \"e\": 620, \"g\": 788, \"x\": -4}", "seed": "13501091658757834542", "semantic_fingerprint": "sha256:c0bec7794faec46e40517cde2642f1c0ee0930537435a6b352914f9523c6572f", "generator_version": "3.0"}
{"id": "v3_val_00001122", "prompt": "Find x: x - 9 = 7(x + 6) - 159", "solution_steps": ["Expand: x - 9 = 7x + 42 - 159", "Combine constants: x - 9 = 7x - 117", "Subtract 7x from both sides: -6x - 9 = -117", "Add 9 to both sides: -6x = -108", "Divide both sides by -6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 7(x + 6) - 159", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 6, \"e\": -159, \"x\": 18}", "seed": "13322690475909627795", "semantic_fingerprint": "sha256:055dbb9aa66b67c2c8e70ea7bc3a4ae56023fc00a5a8946614dcc74f0272e698", "generator_version": "3.0"}
{"id": "v3_val_00001123", "prompt": "Evaluate: -79 / (35 + (-31)) + 470", "solution_steps": ["Add: 35 + (-31) = 4", "Divide: -79 / 4 = -79/4", "Add: -79/4 + 470 = 1801/4"], "final_answer": "1801/4", "answer_type": "rational", "kind": "expression", "math_text": "-79 / (35 + (-31)) + 470", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 35, \"c\": -31, \"d\": 470}", "seed": "14517572322538998625", "semantic_fingerprint": "sha256:301a13cb0200cef702db7c291017aa47823302663289917ce94f0b7e711d1d01", "generator_version": "3.0"}
{"id": "v3_val_00001124", "prompt": "Evaluate: 1 * (-791) / (308 / (-9 * 30))", "solution_steps": ["Multiply: 1 * (-791) = -791", "Multiply: -9 * 30 = -270", "Divide: 308 / (-270) = -154/135", "Divide: -791 / (-154/135) = 15255/22"], "final_answer": "15255/22", "answer_type": "rational", "kind": "expression", "math_text": "1 * (-791) / (308 / (-9 * 30))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -791, \"c\": 308, \"d\": -9, \"e\": 30}", "seed": "15512374898073748324", "semantic_fingerprint": "sha256:a82bd59b3419bcaeedd6f29a11dad5fc720e619e8379a272c1442319ad648056", "generator_version": "3.0"}
{"id": "v3_val_00001125", "prompt": "What value of x satisfies 3(x - 92) - 73 = x - 376?", "solution_steps": ["Expand: 3x - 276 - 73 = x - 376", "Combine constants: 3x - 349 = x - 376", "Subtract x from both sides: 2x - 349 = -376", "Add 349 to both sides: 2x = -27", "Divide both sides by 2: x = -27/2"], "final_answer": "-27/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 92) - 73 = x - 376", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 92, \"c\": 73, \"d\": 376}", "seed": "7529718136547105671", "semantic_fingerprint": "sha256:b0cdc49ca0f67c6ad245a69ca39d3a1ac703c5b9ad661b6db685a9045ce9021c", "generator_version": "3.0"}
{"id": "v3_val_00001126", "prompt": "What is 88 - (-95 - 7)?", "solution_steps": ["Subtract: -95 - 7 = -102", "Subtract: 88 - (-102) = 190"], "final_answer": "190", "answer_type": "integer", "kind": "expression", "math_text": "88 - (-95 - 7)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -95, \"c\": 7}", "seed": "15724227552368159854", "semantic_fingerprint": "sha256:9747dafbe0dfec64951f276fc51d468cc6aa1e2369da1599e5acb877add5071d", "generator_version": "3.0"}
{"id": "v3_val_00001127", "prompt": "Calculate: -95 - (-7)", "solution_steps": ["Subtract: -95 - (-7) = -88"], "final_answer": "-88", "answer_type": "integer", "kind": "expression", "math_text": "-95 - (-7)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -7}", "seed": "8920053402146793185", "semantic_fingerprint": "sha256:ee2cd202964c97f6583ca5740c5c4c985faa9d0666e3297fd328d98bead2916e", "generator_version": "3.0"}
{"id": "v3_val_00001128", "prompt": "What is -6 / (-207) + (-961)?", "solution_steps": ["Divide: -6 / (-207) = 2/69", "Add: 2/69 + (-961) = -66307/69"], "final_answer": "-66307/69", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-207) + (-961)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -207, \"c\": -961}", "seed": "14612692318919967298", "semantic_fingerprint": "sha256:4c233fcd39b8af55b829c47c5f68fb11ff744ceb1081723e7305d0fdca2f8b07", "generator_version": "3.0"}
{"id": "v3_val_00001129", "prompt": "Compute: 74 * (-7) / (-42)", "solution_steps": ["Multiply: 74 * (-7) = -518", "Divide: -518 / (-42) = 37/3"], "final_answer": "37/3", "answer_type": "rational", "kind": "expression", "math_text": "74 * (-7) / (-42)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -7, \"c\": -42}", "seed": "11911655598951093932", "semantic_fingerprint": "sha256:0307b8abced6baac4f3865861f4449ef5181f19e8e2617abfed5655dfdda922f", "generator_version": "3.0"}
{"id": "v3_val_00001130", "prompt": "Compute: (-230 + (-7)) * (76 * (-6) - (-6) / 3)", "solution_steps": ["Add: -230 + (-7) = -237", "Multiply: 76 * (-6) = -456", "Divide: -6 / 3 = -2", "Subtract: -456 - (-2) = -454", "Multiply: -237 * (-454) = 107598"], "final_answer": "107598", "answer_type": "integer", "kind": "expression", "math_text": "(-230 + (-7)) * (76 * (-6) - (-6) / 3)", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (- (* n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -230, \"b\": -7, \"c\": 76, \"d\": -6, \"e\": -6, \"f\": 3}", "seed": "9438187719221050092", "semantic_fingerprint": "sha256:7e16844c7e2f094c2537c707dae45043a58ce1cb4a17c6cbf7df39c0dfc3c64b", "generator_version": "3.0"}
{"id": "v3_val_00001131", "prompt": "Compute: (257 / 172 + (-10)) / 9", "solution_steps": ["Divide: 257 / 172 = 257/172", "Add: 257/172 + (-10) = -1463/172", "Divide: (-1463/172) / 9 = -1463/1548"], "final_answer": "-1463/1548", "answer_type": "rational", "kind": "expression", "math_text": "(257 / 172 + (-10)) / 9", "variable": null, "family": "expression_3op", "shape": "(/ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 257, \"b\": 172, \"c\": -10, \"d\": 9}", "seed": "10998255124479449620", "semantic_fingerprint": "sha256:b8acfe3902f32b30724f0cb79b1720ed7db12b5125c216bbd5389eba004f2f5b", "generator_version": "3.0"}
{"id": "v3_val_00001132", "prompt": "Solve for x: 12(x - 1) = 5(x - 98) + 373", "solution_steps": ["Expand: 12x - 12 = 5(x - 98) + 373", "Expand: 12x - 12 = 5x - 490 + 373", "Combine constants: 12x - 12 = 5x - 117", "Subtract 5x from both sides: 7x - 12 = -117", "Add 12 to both sides: 7x = -105", "Divide both sides by 7: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 1) = 5(x - 98) + 373", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"c\": 5, \"d\": 98, \"f\": 373, \"x\": -15}", "seed": "11268262754461146774", "semantic_fingerprint": "sha256:5bec50e79d473e25f6870d782db110a7621bb4f38f6dd19900bcc2b13909c9de", "generator_version": "3.0"}
{"id": "v3_val_00001133", "prompt": "Solve the equation -8x + 11 = 4x - 73 for x.", "solution_steps": ["Subtract 4x from both sides: -12x + 11 = -73", "Subtract 11 from both sides: -12x = -84", "Divide both sides by -12: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 11 = 4x - 73", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 11, \"c\": 4, \"e\": -73, \"x\": 7}", "seed": "4730716723721624695", "semantic_fingerprint": "sha256:6bf169951f6c44676a95ea3356b0bb991b33c52441d5c2b13db979e4047ce51c", "generator_version": "3.0"}
{"id": "v3_val_00001134", "prompt": "What value of x satisfies 9(x - 6) = 5(x + 36) - 234?", "solution_steps": ["Expand: 9x - 54 = 5(x + 36) - 234", "Expand: 9x - 54 = 5x + 180 - 234", "Combine constants: 9x - 54 = 5x - 54", "Subtract 5x from both sides: 4x - 54 = -54", "Add 54 to both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 6) = 5(x + 36) - 234", "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\": 5, \"d\": 36, \"f\": -234, \"x\": 0}", "seed": "1304198474161073090", "semantic_fingerprint": "sha256:97cef0e679cf33b12250e1aabb19c2af07cfb62ceefd4182259be9674adf61eb", "generator_version": "3.0"}
{"id": "v3_val_00001135", "prompt": "Solve the equation 12(x + 54) - 963 = 11(x - 30) for x.", "solution_steps": ["Expand: 12x + 648 - 963 = 11(x - 30)", "Expand: 12x + 648 - 963 = 11x - 330", "Combine constants: 12x - 315 = 11x - 330", "Subtract 11x from both sides: x - 315 = -330", "Add 315 to both sides: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 54) - 963 = 11(x - 30)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 54, \"c\": 11, \"d\": 30, \"f\": -963, \"x\": -15}", "seed": "4073055357078463562", "semantic_fingerprint": "sha256:620b3169f320049c9c4072345b472e833405a9a8e8aa4a958f1bd08bd9f943b9", "generator_version": "3.0"}
{"id": "v3_val_00001136", "prompt": "What value of x satisfies -12x + 7 = x + 7?", "solution_steps": ["Subtract x from both sides: -13x + 7 = 7", "Subtract 7 from both sides: -13x = 0", "Divide both sides by -13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 7 = x + 7", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"d\": 7, \"x\": 0}", "seed": "15939687931298381514", "semantic_fingerprint": "sha256:baa2ad55573b7af50004f8c4b4a2b3b2cbe1c5191e31e0dcd52697937d413ce9", "generator_version": "3.0"}
{"id": "v3_val_00001137", "prompt": "What is 22 * 394 / (-20) * 3?", "solution_steps": ["Multiply: 22 * 394 = 8668", "Divide: 8668 / (-20) = -2167/5", "Multiply: (-2167/5) * 3 = -6501/5"], "final_answer": "-6501/5", "answer_type": "rational", "kind": "expression", "math_text": "22 * 394 / (-20) * 3", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 394, \"c\": -20, \"d\": 3}", "seed": "7178779327836048304", "semantic_fingerprint": "sha256:579dddc7819fd100c56328ac672edff2bd47cb752a557b5f1621c0b091edae75", "generator_version": "3.0"}
{"id": "v3_val_00001138", "prompt": "Calculate: 90 * (-5) - (6 - (-30))", "solution_steps": ["Multiply: 90 * (-5) = -450", "Subtract: 6 - (-30) = 36", "Subtract: -450 - 36 = -486"], "final_answer": "-486", "answer_type": "integer", "kind": "expression", "math_text": "90 * (-5) - (6 - (-30))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -5, \"c\": 6, \"d\": -30}", "seed": "14704387326103180944", "semantic_fingerprint": "sha256:f3e874cd1af8545bcf4da45ffa7e809ed9f17f31cfbae2e46b883671d5106a03", "generator_version": "3.0"}
{"id": "v3_val_00001139", "prompt": "What value of x satisfies 12(x - 6) = 11(x + 33)?", "solution_steps": ["Expand: 12x - 72 = 11(x + 33)", "Expand: 12x - 72 = 11x + 363", "Subtract 11x from both sides: x - 72 = 363", "Add 72 to both sides: x = 435"], "final_answer": "435", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 6) = 11(x + 33)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 11, \"d\": 33}", "seed": "6360327392085614448", "semantic_fingerprint": "sha256:9c566cdda3c96f6c611cff906db1d35fbbd89050bda068112e9caf9e4cc39fac", "generator_version": "3.0"}
{"id": "v3_val_00001140", "prompt": "Calculate: 17 + (-95)", "solution_steps": ["Add: 17 + (-95) = -78"], "final_answer": "-78", "answer_type": "integer", "kind": "expression", "math_text": "17 + (-95)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -95}", "seed": "15936101559658454111", "semantic_fingerprint": "sha256:0989f2519850dff368e38da57f0f0fff2f5ab73979a275375ce65d7521124d37", "generator_version": "3.0"}
{"id": "v3_val_00001141", "prompt": "What is 49 + (327 - (-5) / 1)?", "solution_steps": ["Divide: -5 / 1 = -5", "Subtract: 327 - (-5) = 332", "Add: 49 + 332 = 381"], "final_answer": "381", "answer_type": "integer", "kind": "expression", "math_text": "49 + (327 - (-5) / 1)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 327, \"c\": -5, \"d\": 1}", "seed": "13382599945105607073", "semantic_fingerprint": "sha256:90f413142b5f6e1d846914e9bea392f552dcd86b42b9e85efea1ee2fa9a7d776", "generator_version": "3.0"}
{"id": "v3_val_00001142", "prompt": "Compute: 6 + (16 - (-491 + (-6 + 50)))", "solution_steps": ["Add: -6 + 50 = 44", "Add: -491 + 44 = -447", "Subtract: 16 - (-447) = 463", "Add: 6 + 463 = 469"], "final_answer": "469", "answer_type": "integer", "kind": "expression", "math_text": "6 + (16 - (-491 + (-6 + 50)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 16, \"c\": -491, \"d\": -6, \"e\": 50}", "seed": "13725967898333411582", "semantic_fingerprint": "sha256:428f3d132b0ca8311d821db583f3c4b402b3049ca5640ce6e8bfa2213489625c", "generator_version": "3.0"}
{"id": "v3_val_00001143", "prompt": "Solve for x: -9(x + 48) + 46 = 12(x + 814)", "solution_steps": ["Expand: -9x - 432 + 46 = 12(x + 814)", "Expand: -9x - 432 + 46 = 12x + 9768", "Combine constants: -9x - 386 = 12x + 9768", "Subtract 12x from both sides: -21x - 386 = 9768", "Add 386 to both sides: -21x = 10154", "Divide both sides by -21: x = -10154/21"], "final_answer": "-10154/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 48) + 46 = 12(x + 814)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 48, \"c\": 46, \"d\": 12, \"e\": 814}", "seed": "17418457710138502956", "semantic_fingerprint": "sha256:8f2aa889c19d900c71693d2df782459a5a8beb53e6860e8b82674574111aff3b", "generator_version": "3.0"}
{"id": "v3_val_00001144", "prompt": "Solve the equation 2(x - 16) = 9(x - 1) for x.", "solution_steps": ["Expand: 2x - 32 = 9(x - 1)", "Expand: 2x - 32 = 9x - 9", "Subtract 9x from both sides: -7x - 32 = -9", "Add 32 to both sides: -7x = 23", "Divide both sides by -7: x = -23/7"], "final_answer": "-23/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 16) = 9(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 16, \"c\": 9, \"d\": 1}", "seed": "5839343336585047347", "semantic_fingerprint": "sha256:b824be47eaef7245c7aeb5ca84351743376dca4817085d98a0467d501eaf3121", "generator_version": "3.0"}
{"id": "v3_val_00001145", "prompt": "Calculate: -22 * (-4) + 65", "solution_steps": ["Multiply: -22 * (-4) = 88", "Add: 88 + 65 = 153"], "final_answer": "153", "answer_type": "integer", "kind": "expression", "math_text": "-22 * (-4) + 65", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -4, \"c\": 65}", "seed": "18332446464819502333", "semantic_fingerprint": "sha256:780f108e53fb442649ff7c7e5feaacf59d02edd2f01afb0a0aa920aafc162ac4", "generator_version": "3.0"}
{"id": "v3_val_00001146", "prompt": "Solve the equation -2(x - 346) - 2 = 690 for x.", "solution_steps": ["Expand: -2x + 692 - 2 = 690", "Combine constants: -2x + 690 = 690", "Subtract 690 from both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 346) - 2 = 690", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 346, \"c\": 2, \"e\": 690, \"x\": 0}", "seed": "8155358118908878332", "semantic_fingerprint": "sha256:997bd37df58695c9336d6b06a8a2d052827bc257031f5489a1aa91f7c2082561", "generator_version": "3.0"}
{"id": "v3_val_00001147", "prompt": "Compute: -98 - 3", "solution_steps": ["Subtract: -98 - 3 = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "expression", "math_text": "-98 - 3", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 3}", "seed": "4197951600071084358", "semantic_fingerprint": "sha256:00485611ed24f7cb3c4d69b34ac52addbc4147cf86d411e893d353d48efe0e86", "generator_version": "3.0"}
{"id": "v3_val_00001148", "prompt": "Evaluate: (-6 + (-817)) / (-1) / 73", "solution_steps": ["Add: -6 + (-817) = -823", "Divide: -823 / (-1) = 823", "Divide: 823 / 73 = 823/73"], "final_answer": "823/73", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (-817)) / (-1) / 73", "variable": null, "family": "expression_3op", "shape": "(/ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -817, \"c\": -1, \"d\": 73}", "seed": "152679691269316660", "semantic_fingerprint": "sha256:7cc3ae1ab54b1b09072190e1a3485960b331633869633bc72c12241af7591cf1", "generator_version": "3.0"}
{"id": "v3_val_00001149", "prompt": "Solve for x: x + 61 = 6(x - 76) + 437", "solution_steps": ["Expand: x + 61 = 6x - 456 + 437", "Combine constants: x + 61 = 6x - 19", "Subtract 6x from both sides: -5x + 61 = -19", "Subtract 61 from both sides: -5x = -80", "Divide both sides by -5: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 61 = 6(x - 76) + 437", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 6, \"c\": 76, \"e\": 437, \"x\": 16}", "seed": "9170791056990660660", "semantic_fingerprint": "sha256:cd442bfd8cd4576e9fbb95d06ce0a436305d85a100691b34833cc95baf0b198f", "generator_version": "3.0"}
{"id": "v3_val_00001150", "prompt": "What is 3 - (-4) * (51 * 490)?", "solution_steps": ["Multiply: 51 * 490 = 24990", "Multiply: -4 * 24990 = -99960", "Subtract: 3 - (-99960) = 99963"], "final_answer": "99963", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-4) * (51 * 490)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -4, \"c\": 51, \"d\": 490}", "seed": "13793218815143830005", "semantic_fingerprint": "sha256:0fc6d75b921d81267809e6f823c45fa16e33a313eb9ac98c45f1698f11c7c587", "generator_version": "3.0"}
{"id": "v3_val_00001151", "prompt": "What is -7 - (320 - 764)?", "solution_steps": ["Subtract: 320 - 764 = -444", "Subtract: -7 - (-444) = 437"], "final_answer": "437", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (320 - 764)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 320, \"c\": 764}", "seed": "2815579254604175448", "semantic_fingerprint": "sha256:d80d6b7e39be97895eacc1320922d0cbbdb92e9c67c7c8dc284d5eeec42d0582", "generator_version": "3.0"}
{"id": "v3_val_00001152", "prompt": "Solve for x: x + 45 = 7(x + 8) - 113", "solution_steps": ["Expand: x + 45 = 7x + 56 - 113", "Combine constants: x + 45 = 7x - 57", "Subtract 7x from both sides: -6x + 45 = -57", "Subtract 45 from both sides: -6x = -102", "Divide both sides by -6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 45 = 7(x + 8) - 113", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 7, \"c\": 8, \"e\": -113, \"x\": 17}", "seed": "4836088455126479277", "semantic_fingerprint": "sha256:c40343d361525c06f11f95ca0882663451944baeab3bdcc34f73977766d58819", "generator_version": "3.0"}
{"id": "v3_val_00001153", "prompt": "What is 12 / (-91) - 5?", "solution_steps": ["Divide: 12 / (-91) = -12/91", "Subtract: -12/91 - 5 = -467/91"], "final_answer": "-467/91", "answer_type": "rational", "kind": "expression", "math_text": "12 / (-91) - 5", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -91, \"c\": 5}", "seed": "4073406630688630710", "semantic_fingerprint": "sha256:aa18a9261db90c819532b4e9ba1d52f9ac33de7b1fc7d9fe24adcbc9008a269c", "generator_version": "3.0"}
{"id": "v3_val_00001154", "prompt": "Find x: 8x + 833 = x - 8", "solution_steps": ["Subtract x from both sides: 7x + 833 = -8", "Subtract 833 from both sides: 7x = -841", "Divide both sides by 7: x = -841/7"], "final_answer": "-841/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x + 833 = x - 8", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 833, \"c\": 8}", "seed": "11098372379111652483", "semantic_fingerprint": "sha256:a75ab8349362552d1922aa16813505d8e8e6354d2b918d763d2e59b97e5c3e30", "generator_version": "3.0"}
{"id": "v3_val_00001155", "prompt": "Evaluate: -5 - 42 - (-965) - (-353 + 3)", "solution_steps": ["Subtract: -5 - 42 = -47", "Subtract: -47 - (-965) = 918", "Add: -353 + 3 = -350", "Subtract: 918 - (-350) = 1268"], "final_answer": "1268", "answer_type": "integer", "kind": "expression", "math_text": "-5 - 42 - (-965) - (-353 + 3)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 42, \"c\": -965, \"d\": -353, \"e\": 3}", "seed": "6320816371886464406", "semantic_fingerprint": "sha256:9f5b54ed35b5c0491078aa48245a2b4cc23bb874f8c6c18f614e6cf97ae73ae7", "generator_version": "3.0"}
{"id": "v3_val_00001156", "prompt": "Compute: -8 / 6 - (3 / (-4) - (-8))", "solution_steps": ["Divide: -8 / 6 = -4/3", "Divide: 3 / (-4) = -3/4", "Subtract: -3/4 - (-8) = 29/4", "Subtract: -4/3 - 29/4 = -103/12"], "final_answer": "-103/12", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 6 - (3 / (-4) - (-8))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"c\": 3, \"d\": -4, \"e\": -8}", "seed": "9463364178386819155", "semantic_fingerprint": "sha256:5c576567634b57850895e154bb63e2446fa087f1d7586609df251a88765c52b3", "generator_version": "3.0"}
{"id": "v3_val_00001157", "prompt": "Compute: 4 + (53 - (-644))", "solution_steps": ["Subtract: 53 - (-644) = 697", "Add: 4 + 697 = 701"], "final_answer": "701", "answer_type": "integer", "kind": "expression", "math_text": "4 + (53 - (-644))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 53, \"c\": -644}", "seed": "1145698130855890466", "semantic_fingerprint": "sha256:14bb5bca0db679deb7028c94b84870c5246cc7912e9ae67d1b61fd91cc9a353b", "generator_version": "3.0"}
{"id": "v3_val_00001158", "prompt": "Evaluate: 9 / (-89 - (-81)) / (-8) - 96", "solution_steps": ["Subtract: -89 - (-81) = -8", "Divide: 9 / (-8) = -9/8", "Divide: (-9/8) / (-8) = 9/64", "Subtract: 9/64 - 96 = -6135/64"], "final_answer": "-6135/64", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-89 - (-81)) / (-8) - 96", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -89, \"c\": -81, \"d\": -8, \"e\": 96}", "seed": "7523090450369423464", "semantic_fingerprint": "sha256:b4e5b97d6c98f1bc978afa0ddc0bf8081e264337bd1db41bec688100d056e5bb", "generator_version": "3.0"}
{"id": "v3_val_00001159", "prompt": "Evaluate: 20 / 81 * 1", "solution_steps": ["Divide: 20 / 81 = 20/81", "Multiply: (20/81) * 1 = 20/81"], "final_answer": "20/81", "answer_type": "rational", "kind": "expression", "math_text": "20 / 81 * 1", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 81, \"c\": 1}", "seed": "5647540538927919698", "semantic_fingerprint": "sha256:5bce1c83503fb706290c76f1a8972d0dedb8604dd52713994efe6e0eddd7b509", "generator_version": "3.0"}
{"id": "v3_val_00001160", "prompt": "What is 97 / (-24 + 5) * (-67)?", "solution_steps": ["Add: -24 + 5 = -19", "Divide: 97 / (-19) = -97/19", "Multiply: (-97/19) * (-67) = 6499/19"], "final_answer": "6499/19", "answer_type": "rational", "kind": "expression", "math_text": "97 / (-24 + 5) * (-67)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -24, \"c\": 5, \"d\": -67}", "seed": "2352043016453647735", "semantic_fingerprint": "sha256:4cfb733e3a876f171681a5610019c29f96da4ebb59c420e7dfc612b457d658ee", "generator_version": "3.0"}
{"id": "v3_val_00001161", "prompt": "Calculate: -92 * 83", "solution_steps": ["Multiply: -92 * 83 = -7636"], "final_answer": "-7636", "answer_type": "integer", "kind": "expression", "math_text": "-92 * 83", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 83}", "seed": "575418073344140800", "semantic_fingerprint": "sha256:7da9c45fc486fa4ba09d8132a99382ed71fe85c697052b2900d5d49fdd24bfb5", "generator_version": "3.0"}
{"id": "v3_val_00001162", "prompt": "Compute: 7 / (-545)", "solution_steps": ["Divide: 7 / (-545) = -7/545"], "final_answer": "-7/545", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-545)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -545}", "seed": "5055622841818895304", "semantic_fingerprint": "sha256:0646e3f8a3d3d4ce8853dc7a80a5fd683721213b8299d8025877cc0019be20d6", "generator_version": "3.0"}
{"id": "v3_val_00001163", "prompt": "What value of x satisfies -11(x + 89) = -803?", "solution_steps": ["Expand: -11x - 979 = -803", "Add 979 to both sides: -11x = 176", "Divide both sides by -11: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 89) = -803", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 89, \"d\": -803, \"x\": -16}", "seed": "10584330013220967108", "semantic_fingerprint": "sha256:d9ffaf6732541ced56e034abb3d443236aebf3e617d42dece71e9c33983fbb58", "generator_version": "3.0"}
{"id": "v3_val_00001164", "prompt": "Compute: -5 * (-3 + (-32 - 794))", "solution_steps": ["Subtract: -32 - 794 = -826", "Add: -3 + (-826) = -829", "Multiply: -5 * (-829) = 4145"], "final_answer": "4145", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-3 + (-32 - 794))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -3, \"c\": -32, \"d\": 794}", "seed": "7250499015021112216", "semantic_fingerprint": "sha256:3914a32bce65fbd42f39d9c64dbd09c58207aea236cac6ee022c2fbcb51398df", "generator_version": "3.0"}
{"id": "v3_val_00001165", "prompt": "Compute: 2 - (-3 / (-7) + 115)", "solution_steps": ["Divide: -3 / (-7) = 3/7", "Add: 3/7 + 115 = 808/7", "Subtract: 2 - 808/7 = -794/7"], "final_answer": "-794/7", "answer_type": "rational", "kind": "expression", "math_text": "2 - (-3 / (-7) + 115)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -3, \"c\": -7, \"d\": 115}", "seed": "12565316954406174678", "semantic_fingerprint": "sha256:504d1e7355e0289f4d4f29d959149137b86e98008b8e3de88d860a5a51a1eadf", "generator_version": "3.0"}
{"id": "v3_val_00001166", "prompt": "Evaluate: -723 / (-262)", "solution_steps": ["Divide: -723 / (-262) = 723/262"], "final_answer": "723/262", "answer_type": "rational", "kind": "expression", "math_text": "-723 / (-262)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -723, \"b\": -262}", "seed": "16273689455816077616", "semantic_fingerprint": "sha256:42cd134a2bd56a010f86ff241329bd08b01b4dc2016666483701142b3d9f5f19", "generator_version": "3.0"}
{"id": "v3_val_00001167", "prompt": "Evaluate: 2 - (-10 + 2)", "solution_steps": ["Add: -10 + 2 = -8", "Subtract: 2 - (-8) = 10"], "final_answer": "10", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-10 + 2)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -10, \"c\": 2}", "seed": "9504311006125018951", "semantic_fingerprint": "sha256:f4ed75e0b652b3f465c62592e2a59c2291ffff40e3fdc875f8268b35c75edb0b", "generator_version": "3.0"}
{"id": "v3_val_00001168", "prompt": "What is -454 * (1 / (1 + 3))?", "solution_steps": ["Add: 1 + 3 = 4", "Divide: 1 / 4 = 1/4", "Multiply: -454 * (1/4) = -227/2"], "final_answer": "-227/2", "answer_type": "rational", "kind": "expression", "math_text": "-454 * (1 / (1 + 3))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -454, \"b\": 1, \"c\": 1, \"d\": 3}", "seed": "4757168822441635193", "semantic_fingerprint": "sha256:0ff734cd999d613eb509e198d2ea22ff563d6c73bfbd452ad53b50679ecf1be0", "generator_version": "3.0"}
{"id": "v3_val_00001169", "prompt": "What is 92 / (-9) * 5?", "solution_steps": ["Divide: 92 / (-9) = -92/9", "Multiply: (-92/9) * 5 = -460/9"], "final_answer": "-460/9", "answer_type": "rational", "kind": "expression", "math_text": "92 / (-9) * 5", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -9, \"c\": 5}", "seed": "2417102454175883411", "semantic_fingerprint": "sha256:c3d149b1ef9baf90a5065340e33ea005b7c3f57c2f25b8638bef1e06ef0809f7", "generator_version": "3.0"}
{"id": "v3_val_00001170", "prompt": "What is -481 - (-96 + 9)?", "solution_steps": ["Add: -96 + 9 = -87", "Subtract: -481 - (-87) = -394"], "final_answer": "-394", "answer_type": "integer", "kind": "expression", "math_text": "-481 - (-96 + 9)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -481, \"b\": -96, \"c\": 9}", "seed": "6591332971336041396", "semantic_fingerprint": "sha256:5c021adb73aa488de5f7bb80cfd6f295b066687b29905e80df77d72959c2d60f", "generator_version": "3.0"}
{"id": "v3_val_00001171", "prompt": "Calculate: (37 * (-240) + 84) * (57 - (-37))", "solution_steps": ["Multiply: 37 * (-240) = -8880", "Add: -8880 + 84 = -8796", "Subtract: 57 - (-37) = 94", "Multiply: -8796 * 94 = -826824"], "final_answer": "-826824", "answer_type": "integer", "kind": "expression", "math_text": "(37 * (-240) + 84) * (57 - (-37))", "variable": null, "family": "expression_4op", "shape": "(* (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -240, \"c\": 84, \"d\": 57, \"e\": -37}", "seed": "10459735572548489760", "semantic_fingerprint": "sha256:561233346f091e8dad49a9259b9b730e8f88639ecffa550eb1f7335cf58ca88b", "generator_version": "3.0"}
{"id": "v3_val_00001172", "prompt": "Find x: 9x = 2x - 6", "solution_steps": ["Subtract 2x from both sides: 7x = -6", "Divide both sides by 7: x = -6/7"], "final_answer": "-6/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = 2x - 6", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 6}", "seed": "5230648844756459030", "semantic_fingerprint": "sha256:72b8cd7fee4b3268ae798a1f952e2aee9a631a63f96a23ac3768535bd4cf0bd2", "generator_version": "3.0"}
{"id": "v3_val_00001173", "prompt": "Evaluate: -24 * (-2) * 263", "solution_steps": ["Multiply: -24 * (-2) = 48", "Multiply: 48 * 263 = 12624"], "final_answer": "12624", "answer_type": "integer", "kind": "expression", "math_text": "-24 * (-2) * 263", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -2, \"c\": 263}", "seed": "9758649479235681289", "semantic_fingerprint": "sha256:9135978cda792ed80226616648f641a0afe769283dabe03e115e5936a0390f14", "generator_version": "3.0"}
{"id": "v3_val_00001174", "prompt": "Calculate: 73 * 4", "solution_steps": ["Multiply: 73 * 4 = 292"], "final_answer": "292", "answer_type": "integer", "kind": "expression", "math_text": "73 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 4}", "seed": "16888237263117698894", "semantic_fingerprint": "sha256:9fc7f43e0bb4342d4958bc6998828bcc91f27e05ed66f1bb6c4f5a6508cf6c24", "generator_version": "3.0"}
{"id": "v3_val_00001175", "prompt": "Solve for x: -11(x - 464) + 7 = 12x", "solution_steps": ["Expand: -11x + 5104 + 7 = 12x", "Combine constants: -11x + 5111 = 12x", "Subtract 12x from both sides: -23x + 5111 = 0", "Subtract 5111 from both sides: -23x = -5111", "Divide both sides by -23: x = 5111/23"], "final_answer": "5111/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 464) + 7 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 464, \"c\": 7, \"d\": 12}", "seed": "5915605546842302944", "semantic_fingerprint": "sha256:a3cb82b558648c7e8beca325f1a90e699a2ca7c4b49120fe4d220604876e1c0e", "generator_version": "3.0"}
{"id": "v3_val_00001176", "prompt": "Compute: (-65 * (-8) - (-7)) / (-1) + 80 + 75", "solution_steps": ["Multiply: -65 * (-8) = 520", "Subtract: 520 - (-7) = 527", "Divide: 527 / (-1) = -527", "Add: -527 + 80 = -447", "Add: -447 + 75 = -372"], "final_answer": "-372", "answer_type": "integer", "kind": "expression", "math_text": "(-65 * (-8) - (-7)) / (-1) + 80 + 75", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ (- (* n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -8, \"c\": -7, \"d\": -1, \"e\": 80, \"f\": 75}", "seed": "5457844780373202400", "semantic_fingerprint": "sha256:31f498a4e6536488ac7919724fe5e070575dc7c9bafe557b8077b4c34d0828d0", "generator_version": "3.0"}
{"id": "v3_val_00001177", "prompt": "Calculate: (4 - (-29 + (-6) / (-2))) * (-361 / (-900))", "solution_steps": ["Divide: -6 / (-2) = 3", "Add: -29 + 3 = -26", "Subtract: 4 - (-26) = 30", "Divide: -361 / (-900) = 361/900", "Multiply: 30 * (361/900) = 361/30"], "final_answer": "361/30", "answer_type": "rational", "kind": "expression", "math_text": "(4 - (-29 + (-6) / (-2))) * (-361 / (-900))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n (/ n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -29, \"c\": -6, \"d\": -2, \"e\": -361, \"f\": -900}", "seed": "4534713928387733015", "semantic_fingerprint": "sha256:67887bab30c0366154b02234e1d52ba64c7b09ae048a2e8eca1b2bf9fbdaf96f", "generator_version": "3.0"}
{"id": "v3_val_00001178", "prompt": "Compute: 0 - (-9)", "solution_steps": ["Subtract: 0 - (-9) = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-9)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9}", "seed": "580498714438581412", "semantic_fingerprint": "sha256:f7b701310d3d9f226bef209e2b92861e1ef026f00ecadf3a3d3c00d7e5254459", "generator_version": "3.0"}
{"id": "v3_val_00001179", "prompt": "What is -2 * 5 - (-84) * 0?", "solution_steps": ["Multiply: -2 * 5 = -10", "Multiply: -84 * 0 = 0", "Subtract: -10 - 0 = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "expression", "math_text": "-2 * 5 - (-84) * 0", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": -84, \"d\": 0}", "seed": "13166949836470332810", "semantic_fingerprint": "sha256:a2939cc2543f7387407055b5be922aeb5fb1260ed2c6289f2a808fdceed8efa1", "generator_version": "3.0"}
{"id": "v3_val_00001180", "prompt": "Evaluate: -11 * 59 * (-88)", "solution_steps": ["Multiply: -11 * 59 = -649", "Multiply: -649 * (-88) = 57112"], "final_answer": "57112", "answer_type": "integer", "kind": "expression", "math_text": "-11 * 59 * (-88)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 59, \"c\": -88}", "seed": "7122881123251397274", "semantic_fingerprint": "sha256:78cca69518d15119c511cab0b1e346343a7aa32a8790f991353371c2e1afee93", "generator_version": "3.0"}
{"id": "v3_val_00001181", "prompt": "Solve the equation 4x + 8 = -32 for x.", "solution_steps": ["Subtract 8 from both sides: 4x = -40", "Divide both sides by 4: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 8 = -32", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"d\": -32, \"x\": -10}", "seed": "6689838102696679791", "semantic_fingerprint": "sha256:1fe3098c4ff245f2f251317ca579480b69b29b138a74a6b79d7e793e1f2b056e", "generator_version": "3.0"}
{"id": "v3_val_00001182", "prompt": "Evaluate: -872 * (-9) * (-42 - (-40)) / (-4)", "solution_steps": ["Multiply: -872 * (-9) = 7848", "Subtract: -42 - (-40) = -2", "Multiply: 7848 * (-2) = -15696", "Divide: -15696 / (-4) = 3924"], "final_answer": "3924", "answer_type": "integer", "kind": "expression", "math_text": "-872 * (-9) * (-42 - (-40)) / (-4)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -872, \"b\": -9, \"c\": -42, \"d\": -40, \"e\": -4}", "seed": "10779270493389281530", "semantic_fingerprint": "sha256:637d33dae300f3a9adf728b589a87b0a43d5d65491edb58f1ee3fc97f898fab8", "generator_version": "3.0"}
{"id": "v3_val_00001183", "prompt": "Solve the equation 2(x + 1) - 732 = -5(x + 97) - 308 for x.", "solution_steps": ["Expand: 2x + 2 - 732 = -5(x + 97) - 308", "Expand: 2x + 2 - 732 = -5x - 485 - 308", "Combine constants: 2x - 730 = -5x - 485 - 308", "Combine constants: 2x - 730 = -5x - 793", "Add 5x to both sides: 7x - 730 = -793", "Add 730 to both sides: 7x = -63", "Divide both sides by 7: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 1) - 732 = -5(x + 97) - 308", "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\": 732, \"d\": -5, \"e\": 97, \"g\": -308, \"x\": -9}", "seed": "9103158356220017029", "semantic_fingerprint": "sha256:e7187aac70179fa8c5966440ca9a25d5c59cc1efd111b17c3e11529ac80c8a70", "generator_version": "3.0"}
{"id": "v3_val_00001184", "prompt": "Compute: 8 * (-213 * 3) * (-916 / 48)", "solution_steps": ["Multiply: -213 * 3 = -639", "Multiply: 8 * (-639) = -5112", "Divide: -916 / 48 = -229/12", "Multiply: -5112 * (-229/12) = 97554"], "final_answer": "97554", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-213 * 3) * (-916 / 48)", "variable": null, "family": "expression_4op", "shape": "(* (* n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -213, \"c\": 3, \"d\": -916, \"e\": 48}", "seed": "4631848439739121257", "semantic_fingerprint": "sha256:6d53885297a4e186e18a2350cc5854362265d1b937c6054454e8e1159f1ef2b3", "generator_version": "3.0"}
{"id": "v3_val_00001185", "prompt": "Find x: x = 11x - 85", "solution_steps": ["Subtract 11x from both sides: -10x = -85", "Divide both sides by -10: x = 17/2"], "final_answer": "17/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11x - 85", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 85}", "seed": "7397585155224134048", "semantic_fingerprint": "sha256:dd2b9063b29331fa4e00fb7de3435d4c376400982dda1d75a08d3e22e55c4c05", "generator_version": "3.0"}
{"id": "v3_val_00001186", "prompt": "Compute: 93 + 2 * 41", "solution_steps": ["Multiply: 2 * 41 = 82", "Add: 93 + 82 = 175"], "final_answer": "175", "answer_type": "integer", "kind": "expression", "math_text": "93 + 2 * 41", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 2, \"c\": 41}", "seed": "15918274872356199111", "semantic_fingerprint": "sha256:9e8936d5bf7a885ced147a35c08a0bf633f7db335a92de55e88e58b37dd6c8a4", "generator_version": "3.0"}
{"id": "v3_val_00001187", "prompt": "Compute: (377 - 22) / 47 * (-19 * (-99))", "solution_steps": ["Subtract: 377 - 22 = 355", "Divide: 355 / 47 = 355/47", "Multiply: -19 * (-99) = 1881", "Multiply: (355/47) * 1881 = 667755/47"], "final_answer": "667755/47", "answer_type": "rational", "kind": "expression", "math_text": "(377 - 22) / 47 * (-19 * (-99))", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 377, \"b\": 22, \"c\": 47, \"d\": -19, \"e\": -99}", "seed": "14053274987059836497", "semantic_fingerprint": "sha256:822efc9161a3e7b5b7624a640400015fb63251c65a5d5594fd960783897c7d8e", "generator_version": "3.0"}
{"id": "v3_val_00001188", "prompt": "Evaluate: 105 - 87 + (67 + 0)", "solution_steps": ["Subtract: 105 - 87 = 18", "Add: 67 + 0 = 67", "Add: 18 + 67 = 85"], "final_answer": "85", "answer_type": "integer", "kind": "expression", "math_text": "105 - 87 + (67 + 0)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 105, \"b\": 87, \"c\": 67, \"d\": 0}", "seed": "10609896241191786152", "semantic_fingerprint": "sha256:53953cfac2970f185ec6ca84bfa9fb42d5d8f8217ce496b8986772f31e7c45dc", "generator_version": "3.0"}
{"id": "v3_val_00001189", "prompt": "Compute: (97 + (-6)) * (-44 / (-77 * 74))", "solution_steps": ["Add: 97 + (-6) = 91", "Multiply: -77 * 74 = -5698", "Divide: -44 / (-5698) = 2/259", "Multiply: 91 * (2/259) = 26/37"], "final_answer": "26/37", "answer_type": "rational", "kind": "expression", "math_text": "(97 + (-6)) * (-44 / (-77 * 74))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -6, \"c\": -44, \"d\": -77, \"e\": 74}", "seed": "13476288778077996261", "semantic_fingerprint": "sha256:edaa350172c5fea74899596ee481a4aa4b02159f4247c7adbd3f8a266d548a88", "generator_version": "3.0"}
{"id": "v3_val_00001190", "prompt": "Evaluate: 700 + (-56) - 84", "solution_steps": ["Add: 700 + (-56) = 644", "Subtract: 644 - 84 = 560"], "final_answer": "560", "answer_type": "integer", "kind": "expression", "math_text": "700 + (-56) - 84", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 700, \"b\": -56, \"c\": 84}", "seed": "13992018722324868288", "semantic_fingerprint": "sha256:09830cf3ccc0cf9baba93c9799376838a20d77ce18852511695e3f9e0dbe3ead", "generator_version": "3.0"}
{"id": "v3_val_00001191", "prompt": "Evaluate: 1 / (-809) + (-95 - 35)", "solution_steps": ["Divide: 1 / (-809) = -1/809", "Subtract: -95 - 35 = -130", "Add: -1/809 + (-130) = -105171/809"], "final_answer": "-105171/809", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-809) + (-95 - 35)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -809, \"c\": -95, \"d\": 35}", "seed": "11934012058214234261", "semantic_fingerprint": "sha256:b3c4b9ede764b435f127427f950f05542908ae1ec6fa21c6379cf112041499b4", "generator_version": "3.0"}
{"id": "v3_val_00001192", "prompt": "Find x: -9x - 61 = 12(x - 73) + 521", "solution_steps": ["Expand: -9x - 61 = 12x - 876 + 521", "Combine constants: -9x - 61 = 12x - 355", "Subtract 12x from both sides: -21x - 61 = -355", "Add 61 to both sides: -21x = -294", "Divide both sides by -21: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 61 = 12(x - 73) + 521", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 61, \"c\": 12, \"d\": 73, \"f\": 521, \"x\": 14}", "seed": "6263183305178609146", "semantic_fingerprint": "sha256:e35fd37f26778f4df2b4d7cf065f3cfe7e88b76bf93f042faeb0a05a054b5216", "generator_version": "3.0"}
{"id": "v3_val_00001193", "prompt": "Compute: 31 * 597", "solution_steps": ["Multiply: 31 * 597 = 18507"], "final_answer": "18507", "answer_type": "integer", "kind": "expression", "math_text": "31 * 597", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 597}", "seed": "14650991256564672025", "semantic_fingerprint": "sha256:6010468699204d16809b058a3e8c0310334a5ed264c57603548ac2189cfdfc7d", "generator_version": "3.0"}
{"id": "v3_val_00001194", "prompt": "Calculate: (-16 + 6) / 92", "solution_steps": ["Add: -16 + 6 = -10", "Divide: -10 / 92 = -5/46"], "final_answer": "-5/46", "answer_type": "rational", "kind": "expression", "math_text": "(-16 + 6) / 92", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 6, \"c\": 92}", "seed": "8005418117125086240", "semantic_fingerprint": "sha256:4cf14d15fdfbb2eecf720b9e4287c9dd3cb703c4c482369e7f3f156dd757b1c7", "generator_version": "3.0"}
{"id": "v3_val_00001195", "prompt": "Calculate: -31 * 0", "solution_steps": ["Multiply: -31 * 0 = 0"], "final_answer": "0", "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": "17822994957930797301", "semantic_fingerprint": "sha256:85e4bc7969ccaf345f2a8bef1794b97bebe38d183f21b0f17caa5c1c38248b15", "generator_version": "3.0"}
{"id": "v3_val_00001196", "prompt": "Compute: -9 / (-805)", "solution_steps": ["Divide: -9 / (-805) = 9/805"], "final_answer": "9/805", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-805)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -805}", "seed": "8627171605794521149", "semantic_fingerprint": "sha256:a5a584c5222ba326be563719f051cb70eb004a26c590d5686c07f99af415b75d", "generator_version": "3.0"}
{"id": "v3_val_00001197", "prompt": "Find x: 3(x + 3) + 9 = -9", "solution_steps": ["Expand: 3x + 9 + 9 = -9", "Combine constants: 3x + 18 = -9", "Subtract 18 from both sides: 3x = -27", "Divide both sides by 3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 3) + 9 = -9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 9, \"e\": -9, \"x\": -9}", "seed": "13243288367151473271", "semantic_fingerprint": "sha256:cb44b208b006f3cf3be67d5efa3730bda78c9171c850283acf3ea88c6990d967", "generator_version": "3.0"}
{"id": "v3_val_00001198", "prompt": "Solve the equation 2x - 44 = -10x for x.", "solution_steps": ["Add 10x to both sides: 12x - 44 = 0", "Add 44 to both sides: 12x = 44", "Divide both sides by 12: x = 11/3"], "final_answer": "11/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 44 = -10x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 44, \"c\": -10}", "seed": "17140562072110949389", "semantic_fingerprint": "sha256:678240ca5285c1f7eb759651327991dd2f226d7c6d157aa393c91096fc93ec0f", "generator_version": "3.0"}
{"id": "v3_val_00001199", "prompt": "Compute: -5 + 92", "solution_steps": ["Add: -5 + 92 = 87"], "final_answer": "87", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 92", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 92}", "seed": "14535550727371403030", "semantic_fingerprint": "sha256:864bbcd55abf0ecaa0d8b76dd1514599a41cd5b77c038fe094779e59735dd756", "generator_version": "3.0"}
{"id": "v3_val_00001200", "prompt": "What is 6 - 7 - (-46 - 8 / 3)?", "solution_steps": ["Subtract: 6 - 7 = -1", "Divide: 8 / 3 = 8/3", "Subtract: -46 - 8/3 = -146/3", "Subtract: -1 - (-146/3) = 143/3"], "final_answer": "143/3", "answer_type": "rational", "kind": "expression", "math_text": "6 - 7 - (-46 - 8 / 3)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": -46, \"d\": 8, \"e\": 3}", "seed": "5407629626255491156", "semantic_fingerprint": "sha256:576d40c984dd977f61c433fa8077285a72406bee9c821524963bb4b34427a320", "generator_version": "3.0"}
{"id": "v3_val_00001201", "prompt": "What value of x satisfies -2x - 9 = x - 36?", "solution_steps": ["Subtract x from both sides: -3x - 9 = -36", "Add 9 to both sides: -3x = -27", "Divide both sides by -3: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 9 = x - 36", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"d\": -36, \"x\": 9}", "seed": "8417691679972640906", "semantic_fingerprint": "sha256:98d54053447ec7039224391940ec0528b40f19f79a61e28f013e2acfe9ee017b", "generator_version": "3.0"}
{"id": "v3_val_00001202", "prompt": "Compute: -44 + (-463) / 555", "solution_steps": ["Divide: -463 / 555 = -463/555", "Add: -44 + (-463/555) = -24883/555"], "final_answer": "-24883/555", "answer_type": "rational", "kind": "expression", "math_text": "-44 + (-463) / 555", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -463, \"c\": 555}", "seed": "6625208920868864135", "semantic_fingerprint": "sha256:043f74ff46f1f1657608237b9c075ec05dff6c39a6b09e8b5a2a0743feeeae03", "generator_version": "3.0"}
{"id": "v3_val_00001203", "prompt": "What value of x satisfies 7x = -2(x - 846) - 257?", "solution_steps": ["Expand: 7x = -2x + 1692 - 257", "Combine constants: 7x = -2x + 1435", "Add 2x to both sides: 9x = 1435", "Divide both sides by 9: x = 1435/9"], "final_answer": "1435/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = -2(x - 846) - 257", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -2, \"c\": 846, \"d\": 257}", "seed": "17766769888942665532", "semantic_fingerprint": "sha256:335f17d30d8965540c3fb334871ea871f97b7a3c9f7ddd80350fc611a4ba812c", "generator_version": "3.0"}
{"id": "v3_val_00001204", "prompt": "Evaluate: 18 * (-6 / 910)", "solution_steps": ["Divide: -6 / 910 = -3/455", "Multiply: 18 * (-3/455) = -54/455"], "final_answer": "-54/455", "answer_type": "rational", "kind": "expression", "math_text": "18 * (-6 / 910)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -6, \"c\": 910}", "seed": "7878912498252951578", "semantic_fingerprint": "sha256:06fe6d2018fc620e482195a93e34aa15270d764c74e175566e00e0854a9b89cf", "generator_version": "3.0"}
{"id": "v3_val_00001205", "prompt": "Solve for x: -3x = -11x + 32", "solution_steps": ["Add 11x to both sides: 8x = 32", "Divide both sides by 8: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = -11x + 32", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -11, \"d\": 32, \"x\": 4}", "seed": "3548625555999657995", "semantic_fingerprint": "sha256:2971dbf7bd2f1557474fb52e67f1fab5f33843dc0bf0c1e979319cb4e5b9c2ad", "generator_version": "3.0"}
{"id": "v3_val_00001206", "prompt": "What value of x satisfies x - 327 = -6(x + 37)?", "solution_steps": ["Expand: x - 327 = -6x - 222", "Add 6x to both sides: 7x - 327 = -222", "Add 327 to both sides: 7x = 105", "Divide both sides by 7: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 327 = -6(x + 37)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 37, \"d\": -327, \"x\": 15}", "seed": "3795562443186195735", "semantic_fingerprint": "sha256:eb28c14d50d38a9326b819ac9becc496a1cfc8b9c51ddcd599a31c46249b9e9f", "generator_version": "3.0"}
{"id": "v3_val_00001207", "prompt": "Calculate: 60 * (37 - (-8) - 234)", "solution_steps": ["Subtract: 37 - (-8) = 45", "Subtract: 45 - 234 = -189", "Multiply: 60 * (-189) = -11340"], "final_answer": "-11340", "answer_type": "integer", "kind": "expression", "math_text": "60 * (37 - (-8) - 234)", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 37, \"c\": -8, \"d\": 234}", "seed": "243235285732100740", "semantic_fingerprint": "sha256:caea8c27cceecde352cd5b47a3f425a2d798312d53949e3f64ff7c4d5c0194b1", "generator_version": "3.0"}
{"id": "v3_val_00001208", "prompt": "Calculate: (-1 + 0) * 9", "solution_steps": ["Add: -1 + 0 = -1", "Multiply: -1 * 9 = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "(-1 + 0) * 9", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 0, \"c\": 9}", "seed": "1702046488654304710", "semantic_fingerprint": "sha256:3e059ce84108e15d6d80559078c025522842efd2213b24e1c9346dcc9d645413", "generator_version": "3.0"}
{"id": "v3_val_00001209", "prompt": "Evaluate: 51 * 9 / (-407)", "solution_steps": ["Multiply: 51 * 9 = 459", "Divide: 459 / (-407) = -459/407"], "final_answer": "-459/407", "answer_type": "rational", "kind": "expression", "math_text": "51 * 9 / (-407)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 9, \"c\": -407}", "seed": "6511847794855580580", "semantic_fingerprint": "sha256:5b464d03a716d8657437d8681f3f26904dbfc5bcc3567be2f48858230f3f08ba", "generator_version": "3.0"}
{"id": "v3_val_00001210", "prompt": "Solve the equation x - 22 = -9x - 122 for x.", "solution_steps": ["Add 9x to both sides: 10x - 22 = -122", "Add 22 to both sides: 10x = -100", "Divide both sides by 10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 22 = -9x - 122", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -9, \"d\": -122, \"x\": -10}", "seed": "1986059035662791561", "semantic_fingerprint": "sha256:d1f4823308f57573467e9493617935b1680b51e9038b144a0b7e53e7eb3f2f4b", "generator_version": "3.0"}
{"id": "v3_val_00001211", "prompt": "Compute: 4 * (-85) * 743", "solution_steps": ["Multiply: 4 * (-85) = -340", "Multiply: -340 * 743 = -252620"], "final_answer": "-252620", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-85) * 743", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -85, \"c\": 743}", "seed": "9982958900103647209", "semantic_fingerprint": "sha256:4435f214390d065a62f8b167cb2555bbfff222a39d33bf6014d6fd2baa1f5ca3", "generator_version": "3.0"}
{"id": "v3_val_00001212", "prompt": "What value of x satisfies x - 90 = 7(x - 2) - 64?", "solution_steps": ["Expand: x - 90 = 7x - 14 - 64", "Combine constants: x - 90 = 7x - 78", "Subtract 7x from both sides: -6x - 90 = -78", "Add 90 to both sides: -6x = 12", "Divide both sides by -6: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 90 = 7(x - 2) - 64", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 7, \"c\": 2, \"e\": -64, \"x\": -2}", "seed": "12508012389988700366", "semantic_fingerprint": "sha256:a080aa6f5950195a2987b5889be0c584aa24136a11a585e181cf94cbe70c7e29", "generator_version": "3.0"}
{"id": "v3_val_00001213", "prompt": "Evaluate: (17 * 36 - 541) / (-9 + 4)", "solution_steps": ["Multiply: 17 * 36 = 612", "Subtract: 612 - 541 = 71", "Add: -9 + 4 = -5", "Divide: 71 / (-5) = -71/5"], "final_answer": "-71/5", "answer_type": "rational", "kind": "expression", "math_text": "(17 * 36 - 541) / (-9 + 4)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 36, \"c\": 541, \"d\": -9, \"e\": 4}", "seed": "18291030098493510303", "semantic_fingerprint": "sha256:d6258e592dccedef4a10590cd3216d4cedda8d562f3575035821e80d7f1ac9ad", "generator_version": "3.0"}
{"id": "v3_val_00001214", "prompt": "What is -9 - (-91) + (9 - 0)?", "solution_steps": ["Subtract: -9 - (-91) = 82", "Subtract: 9 - 0 = 9", "Add: 82 + 9 = 91"], "final_answer": "91", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-91) + (9 - 0)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -91, \"c\": 9, \"d\": 0}", "seed": "769548721540917139", "semantic_fingerprint": "sha256:f66309b1dd9a2357bc03fdebcc03662ad139fa70d1f09bdf2afbc235bd00c6ce", "generator_version": "3.0"}
{"id": "v3_val_00001215", "prompt": "Compute: -21 - (-2) * 379", "solution_steps": ["Multiply: -2 * 379 = -758", "Subtract: -21 - (-758) = 737"], "final_answer": "737", "answer_type": "integer", "kind": "expression", "math_text": "-21 - (-2) * 379", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -2, \"c\": 379}", "seed": "15582961135475442197", "semantic_fingerprint": "sha256:fe732bf443e8b37a05017c8c3db3a083a8a04de0ea9bf5fc82d0f35d538de027", "generator_version": "3.0"}
{"id": "v3_val_00001216", "prompt": "Solve for x: 3x + 297 = 2(x + 22) + 234", "solution_steps": ["Expand: 3x + 297 = 2x + 44 + 234", "Combine constants: 3x + 297 = 2x + 278", "Subtract 2x from both sides: x + 297 = 278", "Subtract 297 from both sides: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 297 = 2(x + 22) + 234", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 297, \"c\": 2, \"d\": 22, \"f\": 234, \"x\": -19}", "seed": "7208253595327445015", "semantic_fingerprint": "sha256:47d2184bf2541ede05a4405152f4d109e31fb8badd0bf9f75443b52bbfa5d7ee", "generator_version": "3.0"}
{"id": "v3_val_00001217", "prompt": "Calculate: 67 / (926 + 9) - 0", "solution_steps": ["Add: 926 + 9 = 935", "Divide: 67 / 935 = 67/935", "Subtract: 67/935 - 0 = 67/935"], "final_answer": "67/935", "answer_type": "rational", "kind": "expression", "math_text": "67 / (926 + 9) - 0", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 926, \"c\": 9, \"d\": 0}", "seed": "6328999338255391322", "semantic_fingerprint": "sha256:b9645d4da44e3366678160421d5d8106685e27a0952d393c4047fd6d36ee6b83", "generator_version": "3.0"}
{"id": "v3_val_00001218", "prompt": "What value of x satisfies -8x - 80 = x + 37?", "solution_steps": ["Subtract x from both sides: -9x - 80 = 37", "Add 80 to both sides: -9x = 117", "Divide both sides by -9: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 80 = x + 37", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 80, \"d\": 37, \"x\": -13}", "seed": "4392551830804689149", "semantic_fingerprint": "sha256:7681570d1e00b3f580930d8e6c16b03e0bcf75a1e166492b4dc4d1acb8ecf29c", "generator_version": "3.0"}
{"id": "v3_val_00001219", "prompt": "Evaluate: -1 / 83 * 70 * 83", "solution_steps": ["Divide: -1 / 83 = -1/83", "Multiply: (-1/83) * 70 = -70/83", "Multiply: (-70/83) * 83 = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "expression", "math_text": "-1 / 83 * 70 * 83", "variable": null, "family": "expression_3op", "shape": "(* (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 83, \"c\": 70, \"d\": 83}", "seed": "9832468720800697100", "semantic_fingerprint": "sha256:c71bca1ade99cd8192977611d9e42191e2777ee066f338f9b10bc242c711ecb0", "generator_version": "3.0"}
{"id": "v3_val_00001220", "prompt": "Evaluate: 17 - (-635) - (292 - 24 + 2 + 93)", "solution_steps": ["Subtract: 17 - (-635) = 652", "Subtract: 292 - 24 = 268", "Add: 268 + 2 = 270", "Add: 270 + 93 = 363", "Subtract: 652 - 363 = 289"], "final_answer": "289", "answer_type": "integer", "kind": "expression", "math_text": "17 - (-635) - (292 - 24 + 2 + 93)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (+ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -635, \"c\": 292, \"d\": 24, \"e\": 2, \"f\": 93}", "seed": "7040038523648641640", "semantic_fingerprint": "sha256:8fdbac83cd12b7423cde6d4fea69903ede02a4388e284e80428f628922295217", "generator_version": "3.0"}
{"id": "v3_val_00001221", "prompt": "Evaluate: -151 - 7 - (55 - 96)", "solution_steps": ["Subtract: -151 - 7 = -158", "Subtract: 55 - 96 = -41", "Subtract: -158 - (-41) = -117"], "final_answer": "-117", "answer_type": "integer", "kind": "expression", "math_text": "-151 - 7 - (55 - 96)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -151, \"b\": 7, \"c\": 55, \"d\": 96}", "seed": "50565147830194770", "semantic_fingerprint": "sha256:ea5f530e956d6e12684349422ef1d2136cdf0c4aa4af55bb64c8b1673ec32fcb", "generator_version": "3.0"}
{"id": "v3_val_00001222", "prompt": "Solve for x: 5(x - 26) + 1 = 8x - 141", "solution_steps": ["Expand: 5x - 130 + 1 = 8x - 141", "Combine constants: 5x - 129 = 8x - 141", "Subtract 8x from both sides: -3x - 129 = -141", "Add 129 to both sides: -3x = -12", "Divide both sides by -3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 26) + 1 = 8x - 141", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 26, \"c\": 1, \"d\": 8, \"f\": -141, \"x\": 4}", "seed": "15136244788478548255", "semantic_fingerprint": "sha256:6f4c0eb59f3a871501d280977b595e765e3eae895386f3b7c349a1942ae00343", "generator_version": "3.0"}
{"id": "v3_val_00001223", "prompt": "Evaluate: -39 - 75", "solution_steps": ["Subtract: -39 - 75 = -114"], "final_answer": "-114", "answer_type": "integer", "kind": "expression", "math_text": "-39 - 75", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 75}", "seed": "3755235553569095927", "semantic_fingerprint": "sha256:c1b0e79726c1f816152a40d1d40f76ee39446bfaa91436b085ea489b201cb861", "generator_version": "3.0"}
{"id": "v3_val_00001224", "prompt": "Solve the equation -9(x - 38) = x + 372 for x.", "solution_steps": ["Expand: -9x + 342 = x + 372", "Subtract x from both sides: -10x + 342 = 372", "Subtract 342 from both sides: -10x = 30", "Divide both sides by -10: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 38) = x + 372", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 38, \"d\": 372, \"x\": -3}", "seed": "9345387820363564437", "semantic_fingerprint": "sha256:8ea3e069da59d3edc0a493a853c9c69bf97f044bf6e8dd5e0bc7feece0150bb3", "generator_version": "3.0"}
{"id": "v3_val_00001225", "prompt": "Find x: 10x + 8 = 11(x + 3) + 2", "solution_steps": ["Expand: 10x + 8 = 11x + 33 + 2", "Combine constants: 10x + 8 = 11x + 35", "Subtract 11x from both sides: -x + 8 = 35", "Subtract 8 from both sides: -x = 27", "Divide both sides by -1: x = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 8 = 11(x + 3) + 2", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 11, \"d\": 3, \"e\": 2}", "seed": "10758998068588725315", "semantic_fingerprint": "sha256:93e723dd8c2cf048fe5326063540425205658a40f8db2671693ee25e3bc704f1", "generator_version": "3.0"}
{"id": "v3_val_00001226", "prompt": "Compute: 4 * (7 + (29 - (73 + 58 + 450)))", "solution_steps": ["Add: 73 + 58 = 131", "Add: 131 + 450 = 581", "Subtract: 29 - 581 = -552", "Add: 7 + (-552) = -545", "Multiply: 4 * (-545) = -2180"], "final_answer": "-2180", "answer_type": "integer", "kind": "expression", "math_text": "4 * (7 + (29 - (73 + 58 + 450)))", "variable": null, "family": "expression_5op", "shape": "(* n (+ n (- n (+ (+ n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 29, \"d\": 73, \"e\": 58, \"f\": 450}", "seed": "6342841024597219472", "semantic_fingerprint": "sha256:1708f31cff473d67186e6984cf0599046359e8dfdaee7c4145cceb897483c19f", "generator_version": "3.0"}
{"id": "v3_val_00001227", "prompt": "Evaluate: 86 * (7 * (-9 + (-94)))", "solution_steps": ["Add: -9 + (-94) = -103", "Multiply: 7 * (-103) = -721", "Multiply: 86 * (-721) = -62006"], "final_answer": "-62006", "answer_type": "integer", "kind": "expression", "math_text": "86 * (7 * (-9 + (-94)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 7, \"c\": -9, \"d\": -94}", "seed": "2453484627424474440", "semantic_fingerprint": "sha256:e7960bb5d5d0419b37d0350bbc771713158adb5c259f0e8a66735a21271115b3", "generator_version": "3.0"}
{"id": "v3_val_00001228", "prompt": "Calculate: -79 - 478 - (96 + (-5))", "solution_steps": ["Subtract: -79 - 478 = -557", "Add: 96 + (-5) = 91", "Subtract: -557 - 91 = -648"], "final_answer": "-648", "answer_type": "integer", "kind": "expression", "math_text": "-79 - 478 - (96 + (-5))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 478, \"c\": 96, \"d\": -5}", "seed": "11240489455362631362", "semantic_fingerprint": "sha256:88fd8e3df74b19cc58af63cb23e59ebfe40953185201206efb5fff7de51cb818", "generator_version": "3.0"}
{"id": "v3_val_00001229", "prompt": "Compute: -9 * (-7 + (-54))", "solution_steps": ["Add: -7 + (-54) = -61", "Multiply: -9 * (-61) = 549"], "final_answer": "549", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-7 + (-54))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -7, \"c\": -54}", "seed": "4608797062606628322", "semantic_fingerprint": "sha256:adc5e3e81b827a453d5ad2e45548be22ddedaa925665428b5af218c118af103e", "generator_version": "3.0"}
{"id": "v3_val_00001230", "prompt": "Find x: 10(x - 2) = -12(x - 7) - 148", "solution_steps": ["Expand: 10x - 20 = -12(x - 7) - 148", "Expand: 10x - 20 = -12x + 84 - 148", "Combine constants: 10x - 20 = -12x - 64", "Add 12x to both sides: 22x - 20 = -64", "Add 20 to both sides: 22x = -44", "Divide both sides by 22: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 2) = -12(x - 7) - 148", "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\": -12, \"d\": 7, \"f\": -148, \"x\": -2}", "seed": "411043365473378745", "semantic_fingerprint": "sha256:b299c725a470b6b12675d730eb3b3c7b9e218152b220e8067f7251dc49a8bd0b", "generator_version": "3.0"}
{"id": "v3_val_00001231", "prompt": "Evaluate: (98 + 3 - 7) * 543", "solution_steps": ["Add: 98 + 3 = 101", "Subtract: 101 - 7 = 94", "Multiply: 94 * 543 = 51042"], "final_answer": "51042", "answer_type": "integer", "kind": "expression", "math_text": "(98 + 3 - 7) * 543", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 3, \"c\": 7, \"d\": 543}", "seed": "5764452598941209407", "semantic_fingerprint": "sha256:9b8fae7129ef7ad7058e8d89bfe5b5976ca5422147d66279c38cf66037f1a0be", "generator_version": "3.0"}
{"id": "v3_val_00001232", "prompt": "Evaluate: 0 - 60 / 6", "solution_steps": ["Divide: 60 / 6 = 10", "Subtract: 0 - 10 = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "expression", "math_text": "0 - 60 / 6", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 60, \"c\": 6}", "seed": "9513267996318521535", "semantic_fingerprint": "sha256:36dcbeb16dfe8926f2b548cee999881c2881ffe184a270c874b0e9f83f0c54e4", "generator_version": "3.0"}
{"id": "v3_val_00001233", "prompt": "What is 76 / (-262) + (-652) + (-967)?", "solution_steps": ["Divide: 76 / (-262) = -38/131", "Add: -38/131 + (-652) = -85450/131", "Add: -85450/131 + (-967) = -212127/131"], "final_answer": "-212127/131", "answer_type": "rational", "kind": "expression", "math_text": "76 / (-262) + (-652) + (-967)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -262, \"c\": -652, \"d\": -967}", "seed": "10274935954297575156", "semantic_fingerprint": "sha256:4767e20327deceea243548b7595e06ccee7568668a2d0f8e7bdc63b4ed7dc74c", "generator_version": "3.0"}
{"id": "v3_val_00001234", "prompt": "What is 36 - (791 * (-18) * 5 - 2)?", "solution_steps": ["Multiply: 791 * (-18) = -14238", "Multiply: -14238 * 5 = -71190", "Subtract: -71190 - 2 = -71192", "Subtract: 36 - (-71192) = 71228"], "final_answer": "71228", "answer_type": "integer", "kind": "expression", "math_text": "36 - (791 * (-18) * 5 - 2)", "variable": null, "family": "expression_4op", "shape": "(- n (- (* (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 791, \"c\": -18, \"d\": 5, \"e\": 2}", "seed": "16655739687588276421", "semantic_fingerprint": "sha256:dfb2995132a9065fe743b931d9a2aca3160808426fd7d1d0365fb767ed2bdce8", "generator_version": "3.0"}
{"id": "v3_val_00001235", "prompt": "What is 36 / (-92)?", "solution_steps": ["Divide: 36 / (-92) = -9/23"], "final_answer": "-9/23", "answer_type": "rational", "kind": "expression", "math_text": "36 / (-92)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -92}", "seed": "16022721359943473260", "semantic_fingerprint": "sha256:9769c6e4453418afcea64de78f52a609c8a09ceaabf8b1b2599a559941d49821", "generator_version": "3.0"}
{"id": "v3_val_00001236", "prompt": "Solve the equation -12(x + 10) = 5(x - 5) for x.", "solution_steps": ["Expand: -12x - 120 = 5(x - 5)", "Expand: -12x - 120 = 5x - 25", "Subtract 5x from both sides: -17x - 120 = -25", "Add 120 to both sides: -17x = 95", "Divide both sides by -17: x = -95/17"], "final_answer": "-95/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 10) = 5(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 10, \"c\": 5, \"d\": 5}", "seed": "10691471734526101247", "semantic_fingerprint": "sha256:3105ae801924aaed8f0be1cdfbafbebc25c2f871ed3792bc30ec2fadc1773151", "generator_version": "3.0"}
{"id": "v3_val_00001237", "prompt": "What is -718 * 585?", "solution_steps": ["Multiply: -718 * 585 = -420030"], "final_answer": "-420030", "answer_type": "integer", "kind": "expression", "math_text": "-718 * 585", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -718, \"b\": 585}", "seed": "14760214445023318800", "semantic_fingerprint": "sha256:33b45b16127162894928e20fe018295ed0d602a8f52afa140d5858b0954a07b9", "generator_version": "3.0"}
{"id": "v3_val_00001238", "prompt": "Calculate: -3 - (3 / 6 - (-695 - (-1)))", "solution_steps": ["Divide: 3 / 6 = 1/2", "Subtract: -695 - (-1) = -694", "Subtract: 1/2 - (-694) = 1389/2", "Subtract: -3 - 1389/2 = -1395/2"], "final_answer": "-1395/2", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (3 / 6 - (-695 - (-1)))", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": 6, \"d\": -695, \"e\": -1}", "seed": "3785341397375727816", "semantic_fingerprint": "sha256:88f2f1a53010fe6268611debe4b1aa587b011fba6175789e9ae32c3c024e391e", "generator_version": "3.0"}
{"id": "v3_val_00001239", "prompt": "Find x: -11x + 764 = -2x + 728", "solution_steps": ["Add 2x to both sides: -9x + 764 = 728", "Subtract 764 from both sides: -9x = -36", "Divide both sides by -9: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x + 764 = -2x + 728", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 764, \"c\": -2, \"e\": 728, \"x\": 4}", "seed": "1917404368601627927", "semantic_fingerprint": "sha256:20a87688b0bff8af92d05ef166330427ab29b97fd5918d8e827f61053d07a97a", "generator_version": "3.0"}
{"id": "v3_val_00001240", "prompt": "What value of x satisfies 10(x + 3) - 85 = 3x + 94?", "solution_steps": ["Expand: 10x + 30 - 85 = 3x + 94", "Combine constants: 10x - 55 = 3x + 94", "Subtract 3x from both sides: 7x - 55 = 94", "Add 55 to both sides: 7x = 149", "Divide both sides by 7: x = 149/7"], "final_answer": "149/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 3) - 85 = 3x + 94", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 85, \"d\": 3, \"e\": 94}", "seed": "15333568430469907052", "semantic_fingerprint": "sha256:5b6242c9097ed83ae9d579ddbdb22375c378c5a944c54d84051a90e3d3998c78", "generator_version": "3.0"}
{"id": "v3_val_00001241", "prompt": "Evaluate: -8 - (-95 + (-7) * (-8))", "solution_steps": ["Multiply: -7 * (-8) = 56", "Add: -95 + 56 = -39", "Subtract: -8 - (-39) = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-95 + (-7) * (-8))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -95, \"c\": -7, \"d\": -8}", "seed": "3757708798000954298", "semantic_fingerprint": "sha256:fb8ac0167ba2337530105f04e47c2196589c13bd459920e7e936f8d520538b32", "generator_version": "3.0"}
{"id": "v3_val_00001242", "prompt": "Find x: -11(x - 41) = 2(x - 51) + 384", "solution_steps": ["Expand: -11x + 451 = 2(x - 51) + 384", "Expand: -11x + 451 = 2x - 102 + 384", "Combine constants: -11x + 451 = 2x + 282", "Subtract 2x from both sides: -13x + 451 = 282", "Subtract 451 from both sides: -13x = -169", "Divide both sides by -13: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 41) = 2(x - 51) + 384", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 41, \"c\": 2, \"d\": 51, \"f\": 384, \"x\": 13}", "seed": "501593246816688898", "semantic_fingerprint": "sha256:73b78f6f0f2c58c9a9dfd4dceb0a4d75202f1785cd52db0cadbe17e4b6520e8c", "generator_version": "3.0"}
{"id": "v3_val_00001243", "prompt": "Solve for x: x + 9 = -12x + 43", "solution_steps": ["Add 12x to both sides: 13x + 9 = 43", "Subtract 9 from both sides: 13x = 34", "Divide both sides by 13: x = 34/13"], "final_answer": "34/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9 = -12x + 43", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -12, \"c\": 43}", "seed": "13916695402211833166", "semantic_fingerprint": "sha256:315de06f7de7a6252e7617f412c5b39c835e8611a931ba745e794cd53a49ecf8", "generator_version": "3.0"}
{"id": "v3_val_00001244", "prompt": "Solve the equation -6(x - 87) + 8 = x + 572 for x.", "solution_steps": ["Expand: -6x + 522 + 8 = x + 572", "Combine constants: -6x + 530 = x + 572", "Subtract x from both sides: -7x + 530 = 572", "Subtract 530 from both sides: -7x = 42", "Divide both sides by -7: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 87) + 8 = x + 572", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 87, \"c\": 8, \"e\": 572, \"x\": -6}", "seed": "11581666343459410654", "semantic_fingerprint": "sha256:6b90cff94bd72d7a70a4c003e75c2d5ee77497449fa1a06828cb120ba6fd393d", "generator_version": "3.0"}
{"id": "v3_val_00001245", "prompt": "Compute: (-75 + 41) * (-6 / (-2))", "solution_steps": ["Add: -75 + 41 = -34", "Divide: -6 / (-2) = 3", "Multiply: -34 * 3 = -102"], "final_answer": "-102", "answer_type": "integer", "kind": "expression", "math_text": "(-75 + 41) * (-6 / (-2))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 41, \"c\": -6, \"d\": -2}", "seed": "5836259333030147704", "semantic_fingerprint": "sha256:1ea4c8742b0da2b010775a2f44fc7bdc1f1ed462d8ba7371c4d957f3d7d35e9a", "generator_version": "3.0"}
{"id": "v3_val_00001246", "prompt": "Compute: -102 + 168", "solution_steps": ["Add: -102 + 168 = 66"], "final_answer": "66", "answer_type": "integer", "kind": "expression", "math_text": "-102 + 168", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -102, \"b\": 168}", "seed": "17337064857860390316", "semantic_fingerprint": "sha256:ecc4045d90dd54a0bc8f304d9352b4f9b591e65f44e02ffbd39fcbd4437ad123", "generator_version": "3.0"}
{"id": "v3_val_00001247", "prompt": "Evaluate: 7 * (-38) * (-7)", "solution_steps": ["Multiply: 7 * (-38) = -266", "Multiply: -266 * (-7) = 1862"], "final_answer": "1862", "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": "569565109759623269", "semantic_fingerprint": "sha256:63726ad1ff9f3d40be2be05c7a823460c1ebd395e289879f04b9f76bf34fbf07", "generator_version": "3.0"}
{"id": "v3_val_00001248", "prompt": "Compute: 836 / (-84 / 49) * (-64 * (-2))", "solution_steps": ["Divide: -84 / 49 = -12/7", "Divide: 836 / (-12/7) = -1463/3", "Multiply: -64 * (-2) = 128", "Multiply: (-1463/3) * 128 = -187264/3"], "final_answer": "-187264/3", "answer_type": "rational", "kind": "expression", "math_text": "836 / (-84 / 49) * (-64 * (-2))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 836, \"b\": -84, \"c\": 49, \"d\": -64, \"e\": -2}", "seed": "18185039978607365234", "semantic_fingerprint": "sha256:47effdefc184e00087b1c182c5474ccddd0194e200ed4cf461b851edb484f6c0", "generator_version": "3.0"}
{"id": "v3_val_00001249", "prompt": "Compute: 0 + 583", "solution_steps": ["Add: 0 + 583 = 583"], "final_answer": "583", "answer_type": "integer", "kind": "expression", "math_text": "0 + 583", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 583}", "seed": "4922573426332315725", "semantic_fingerprint": "sha256:74b965d40176b981cd4d6392d8730326e137dcfd8fb656de2eb114311ee5b206", "generator_version": "3.0"}
{"id": "v3_val_00001250", "prompt": "Evaluate: 906 + (0 - (-625)) * 9", "solution_steps": ["Subtract: 0 - (-625) = 625", "Multiply: 625 * 9 = 5625", "Add: 906 + 5625 = 6531"], "final_answer": "6531", "answer_type": "integer", "kind": "expression", "math_text": "906 + (0 - (-625)) * 9", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 906, \"b\": 0, \"c\": -625, \"d\": 9}", "seed": "9008761582423958923", "semantic_fingerprint": "sha256:c9b0212d2398163020946426646270385010f9f67b7583ceb524f83e5b332c79", "generator_version": "3.0"}
{"id": "v3_val_00001251", "prompt": "Compute: -8 / (-2) / (-6)", "solution_steps": ["Divide: -8 / (-2) = 4", "Divide: 4 / (-6) = -2/3"], "final_answer": "-2/3", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-2) / (-6)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -2, \"c\": -6}", "seed": "7035193326701462408", "semantic_fingerprint": "sha256:d10a494bcd01c783aad4a4a1dce910f4ded660a4446abdae19c1499110447cf9", "generator_version": "3.0"}
{"id": "v3_val_00001252", "prompt": "What is 90 - (-2) * 375?", "solution_steps": ["Multiply: -2 * 375 = -750", "Subtract: 90 - (-750) = 840"], "final_answer": "840", "answer_type": "integer", "kind": "expression", "math_text": "90 - (-2) * 375", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -2, \"c\": 375}", "seed": "1635010127336424579", "semantic_fingerprint": "sha256:a1dcc77e99613ba65c33f51f09dbb2ca43cd0827252605f26486182ecd708613", "generator_version": "3.0"}
{"id": "v3_val_00001253", "prompt": "What value of x satisfies -4(x + 73) - 506 = -794?", "solution_steps": ["Expand: -4x - 292 - 506 = -794", "Combine constants: -4x - 798 = -794", "Add 798 to both sides: -4x = 4", "Divide both sides by -4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 73) - 506 = -794", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 73, \"c\": 506, \"e\": -794, \"x\": -1}", "seed": "13998287032361451206", "semantic_fingerprint": "sha256:e93644a179136644add462d89b3e89323765397ada60432ec9e36e3633b3f67c", "generator_version": "3.0"}
{"id": "v3_val_00001254", "prompt": "What value of x satisfies 5(x - 6) - 34 = 8(x - 69) + 2?", "solution_steps": ["Expand: 5x - 30 - 34 = 8(x - 69) + 2", "Expand: 5x - 30 - 34 = 8x - 552 + 2", "Combine constants: 5x - 64 = 8x - 552 + 2", "Combine constants: 5x - 64 = 8x - 550", "Subtract 8x from both sides: -3x - 64 = -550", "Add 64 to both sides: -3x = -486", "Divide both sides by -3: x = 162"], "final_answer": "162", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 6) - 34 = 8(x - 69) + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 34, \"d\": 8, \"e\": 69, \"f\": 2}", "seed": "6993623996698740661", "semantic_fingerprint": "sha256:77a2184262ee65e700e24ad4ff41a052b775a5d3f1e5560d6e8f77659c857a74", "generator_version": "3.0"}
{"id": "v3_val_00001255", "prompt": "Evaluate: -3 / (-13) + (-55 - 4)", "solution_steps": ["Divide: -3 / (-13) = 3/13", "Subtract: -55 - 4 = -59", "Add: 3/13 + (-59) = -764/13"], "final_answer": "-764/13", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-13) + (-55 - 4)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -13, \"c\": -55, \"d\": 4}", "seed": "16532360696549615463", "semantic_fingerprint": "sha256:04fe4e63ae32a93e2ba0e0ce715ed38a509d2495e106c0692d1073e58a12d0af", "generator_version": "3.0"}
{"id": "v3_val_00001256", "prompt": "Evaluate: (0 + 599) / 268 * 0", "solution_steps": ["Add: 0 + 599 = 599", "Divide: 599 / 268 = 599/268", "Multiply: (599/268) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 599) / 268 * 0", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 599, \"c\": 268, \"d\": 0}", "seed": "18336707615697947593", "semantic_fingerprint": "sha256:84c9e66b4c2a68f7c9fe7c55f9bcd3821daa80ff8ef95fe9e0421826cafb1992", "generator_version": "3.0"}
{"id": "v3_val_00001257", "prompt": "Evaluate: -29 * (14 - (-7) / (-547))", "solution_steps": ["Divide: -7 / (-547) = 7/547", "Subtract: 14 - 7/547 = 7651/547", "Multiply: -29 * (7651/547) = -221879/547"], "final_answer": "-221879/547", "answer_type": "rational", "kind": "expression", "math_text": "-29 * (14 - (-7) / (-547))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 14, \"c\": -7, \"d\": -547}", "seed": "677262786913591296", "semantic_fingerprint": "sha256:237bdf2ae5b754eb61cf415b3b106cf3c4f0b1aa968eaabe4b90d5e020b89a27", "generator_version": "3.0"}
{"id": "v3_val_00001258", "prompt": "Compute: -55 / (-56 * (-76))", "solution_steps": ["Multiply: -56 * (-76) = 4256", "Divide: -55 / 4256 = -55/4256"], "final_answer": "-55/4256", "answer_type": "rational", "kind": "expression", "math_text": "-55 / (-56 * (-76))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -56, \"c\": -76}", "seed": "12881456708802051358", "semantic_fingerprint": "sha256:2feba24d602083e2574ce3f1189e38d32745c2c9e93b6ffb6eede41ce5a3b3f6", "generator_version": "3.0"}
{"id": "v3_val_00001259", "prompt": "Calculate: -44 / (-84 / 79 / (-4 + 15) - 7)", "solution_steps": ["Divide: -84 / 79 = -84/79", "Add: -4 + 15 = 11", "Divide: (-84/79) / 11 = -84/869", "Subtract: -84/869 - 7 = -6167/869", "Divide: -44 / (-6167/869) = 38236/6167"], "final_answer": "38236/6167", "answer_type": "rational", "kind": "expression", "math_text": "-44 / (-84 / 79 / (-4 + 15) - 7)", "variable": null, "family": "expression_5op", "shape": "(/ n (- (/ (/ n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -84, \"c\": 79, \"d\": -4, \"e\": 15, \"f\": 7}", "seed": "9668754499657404030", "semantic_fingerprint": "sha256:cca5879d51203296c40805bc5fc795058c866225d3a80ff0153f8a943dd31905", "generator_version": "3.0"}
{"id": "v3_val_00001260", "prompt": "What is (62 + 8) / ((-75 - (-1 + (-35))) / 898)?", "solution_steps": ["Add: 62 + 8 = 70", "Add: -1 + (-35) = -36", "Subtract: -75 - (-36) = -39", "Divide: -39 / 898 = -39/898", "Divide: 70 / (-39/898) = -62860/39"], "final_answer": "-62860/39", "answer_type": "rational", "kind": "expression", "math_text": "(62 + 8) / ((-75 - (-1 + (-35))) / 898)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (/ (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 8, \"c\": -75, \"d\": -1, \"e\": -35, \"f\": 898}", "seed": "4256621340113039608", "semantic_fingerprint": "sha256:98cad2ad056248df97c898b25bb6c6f0945e1649dc19dc7c7b00541059ea1323", "generator_version": "3.0"}
{"id": "v3_val_00001261", "prompt": "Calculate: (-8 - (-87) - 67) * (-78 * (-92))", "solution_steps": ["Subtract: -8 - (-87) = 79", "Subtract: 79 - 67 = 12", "Multiply: -78 * (-92) = 7176", "Multiply: 12 * 7176 = 86112"], "final_answer": "86112", "answer_type": "integer", "kind": "expression", "math_text": "(-8 - (-87) - 67) * (-78 * (-92))", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -87, \"c\": 67, \"d\": -78, \"e\": -92}", "seed": "15954995248724258364", "semantic_fingerprint": "sha256:b494301d4b9b2b243451ee5643c3d2c049ade51aa3ba148bbab32c1929edb625", "generator_version": "3.0"}
{"id": "v3_val_00001262", "prompt": "Solve for x: 5(x + 79) = x + 74", "solution_steps": ["Expand: 5x + 395 = x + 74", "Subtract x from both sides: 4x + 395 = 74", "Subtract 395 from both sides: 4x = -321", "Divide both sides by 4: x = -321/4"], "final_answer": "-321/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 79) = x + 74", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 79, \"c\": 74}", "seed": "5611647058297920547", "semantic_fingerprint": "sha256:b9fd72b0ea86aba4fe9b01a570c82b102d81785b8f9426c15f46a24d47bb78c2", "generator_version": "3.0"}
{"id": "v3_val_00001263", "prompt": "What is 95 / (32 / 450) * 17?", "solution_steps": ["Divide: 32 / 450 = 16/225", "Divide: 95 / (16/225) = 21375/16", "Multiply: (21375/16) * 17 = 363375/16"], "final_answer": "363375/16", "answer_type": "rational", "kind": "expression", "math_text": "95 / (32 / 450) * 17", "variable": null, "family": "expression_3op", "shape": "(* (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 32, \"c\": 450, \"d\": 17}", "seed": "11787888771414684690", "semantic_fingerprint": "sha256:e401f767eb00ee3992cc4d858f661e7efa857ccd64298139c923512bfe81d325", "generator_version": "3.0"}
{"id": "v3_val_00001264", "prompt": "Evaluate: (3 - (-95) / (-9 + (45 - 98))) / (-8)", "solution_steps": ["Subtract: 45 - 98 = -53", "Add: -9 + (-53) = -62", "Divide: -95 / (-62) = 95/62", "Subtract: 3 - 95/62 = 91/62", "Divide: (91/62) / (-8) = -91/496"], "final_answer": "-91/496", "answer_type": "rational", "kind": "expression", "math_text": "(3 - (-95) / (-9 + (45 - 98))) / (-8)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (/ n (+ n (- n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -95, \"c\": -9, \"d\": 45, \"e\": 98, \"f\": -8}", "seed": "3774920680866671096", "semantic_fingerprint": "sha256:b9b3de2363a467c7d65fa38c8513e1ff7a4e465a0806516ad460d5b4f72c775a", "generator_version": "3.0"}
{"id": "v3_val_00001265", "prompt": "What is -63 + (-7)?", "solution_steps": ["Add: -63 + (-7) = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "expression", "math_text": "-63 + (-7)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -7}", "seed": "10123929357496174397", "semantic_fingerprint": "sha256:508ebe24452dfc98da733b716623b55ae3acd95b90bb6cd101860f1916ec77a3", "generator_version": "3.0"}
{"id": "v3_val_00001266", "prompt": "What is -377 * (-15 - (-1))?", "solution_steps": ["Subtract: -15 - (-1) = -14", "Multiply: -377 * (-14) = 5278"], "final_answer": "5278", "answer_type": "integer", "kind": "expression", "math_text": "-377 * (-15 - (-1))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -377, \"b\": -15, \"c\": -1}", "seed": "9481940908017900609", "semantic_fingerprint": "sha256:2710b19b57e5985955b6c2675046b3f68576202980f9cc41949368717a16c8c5", "generator_version": "3.0"}
{"id": "v3_val_00001267", "prompt": "Solve the equation 8x + 956 = -12x + 736 for x.", "solution_steps": ["Add 12x to both sides: 20x + 956 = 736", "Subtract 956 from both sides: 20x = -220", "Divide both sides by 20: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 956 = -12x + 736", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 956, \"c\": -12, \"e\": 736, \"x\": -11}", "seed": "3273906457686716328", "semantic_fingerprint": "sha256:0eb3cfa2d48fd0d03ca5fe7c566d5ec0f26f1d9191f97f2dc45d9fa98be7a872", "generator_version": "3.0"}
{"id": "v3_val_00001268", "prompt": "Find x: -2(x + 5) = 5(x + 935) + 99", "solution_steps": ["Expand: -2x - 10 = 5(x + 935) + 99", "Expand: -2x - 10 = 5x + 4675 + 99", "Combine constants: -2x - 10 = 5x + 4774", "Subtract 5x from both sides: -7x - 10 = 4774", "Add 10 to both sides: -7x = 4784", "Divide both sides by -7: x = -4784/7"], "final_answer": "-4784/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 5) = 5(x + 935) + 99", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": 5, \"d\": 935, \"e\": 99}", "seed": "17441772685150709396", "semantic_fingerprint": "sha256:15858dec3ca5a09d3524829edddb6063b143f17263856bb07a848061288d2aac", "generator_version": "3.0"}
{"id": "v3_val_00001269", "prompt": "What is -85 / (-4) * (-85 + (-9)) - 36 * (-5)?", "solution_steps": ["Divide: -85 / (-4) = 85/4", "Add: -85 + (-9) = -94", "Multiply: (85/4) * (-94) = -3995/2", "Multiply: 36 * (-5) = -180", "Subtract: -3995/2 - (-180) = -3635/2"], "final_answer": "-3635/2", "answer_type": "rational", "kind": "expression", "math_text": "-85 / (-4) * (-85 + (-9)) - 36 * (-5)", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -4, \"c\": -85, \"d\": -9, \"e\": 36, \"f\": -5}", "seed": "8197468342523641888", "semantic_fingerprint": "sha256:533729fd032a07eb061ffcb710612e08ebca6b1fc4843516f689daf8ca6c3b8a", "generator_version": "3.0"}
{"id": "v3_val_00001270", "prompt": "Evaluate: 6 + (305 + (-5 - (-211)))", "solution_steps": ["Subtract: -5 - (-211) = 206", "Add: 305 + 206 = 511", "Add: 6 + 511 = 517"], "final_answer": "517", "answer_type": "integer", "kind": "expression", "math_text": "6 + (305 + (-5 - (-211)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 305, \"c\": -5, \"d\": -211}", "seed": "16918309262832994571", "semantic_fingerprint": "sha256:7c8f30f52207c402371d446a1567fcc75a5ac6d68961257bf5bb860e8128c7a1", "generator_version": "3.0"}
{"id": "v3_val_00001271", "prompt": "Compute: -261 / (-68)", "solution_steps": ["Divide: -261 / (-68) = 261/68"], "final_answer": "261/68", "answer_type": "rational", "kind": "expression", "math_text": "-261 / (-68)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -261, \"b\": -68}", "seed": "4826139869090900218", "semantic_fingerprint": "sha256:ea11b3df63dfb8969f5644802ae6a8575f047ced3e683929cdbdc44ddc0219f9", "generator_version": "3.0"}
{"id": "v3_val_00001272", "prompt": "What value of x satisfies 8x = 10x - 2?", "solution_steps": ["Subtract 10x from both sides: -2x = -2", "Divide both sides by -2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 10x - 2", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 10, \"d\": -2, \"x\": 1}", "seed": "3316586457145752465", "semantic_fingerprint": "sha256:ca43f04beaee44b1ad12f0498670cabae240d68d0b2a369ebc21d39f4f73f5ee", "generator_version": "3.0"}
{"id": "v3_val_00001273", "prompt": "What is -6 * (674 + 86) + 184?", "solution_steps": ["Add: 674 + 86 = 760", "Multiply: -6 * 760 = -4560", "Add: -4560 + 184 = -4376"], "final_answer": "-4376", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (674 + 86) + 184", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 674, \"c\": 86, \"d\": 184}", "seed": "10377913899046739111", "semantic_fingerprint": "sha256:827fbdd5ec4fc84240688fa0033eeb0d3315f774db2949fb54a00b95beb443b9", "generator_version": "3.0"}
{"id": "v3_val_00001274", "prompt": "Calculate: 42 - (-954) - (-5) - 86", "solution_steps": ["Subtract: 42 - (-954) = 996", "Subtract: 996 - (-5) = 1001", "Subtract: 1001 - 86 = 915"], "final_answer": "915", "answer_type": "integer", "kind": "expression", "math_text": "42 - (-954) - (-5) - 86", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -954, \"c\": -5, \"d\": 86}", "seed": "17442319536459228063", "semantic_fingerprint": "sha256:f9333e5482d22f9c1c442845dd82948d5aba3a7cc046511a502592e439ab9f13", "generator_version": "3.0"}
{"id": "v3_val_00001275", "prompt": "Solve for x: 5x - 9 = 12(x - 68) - 5", "solution_steps": ["Expand: 5x - 9 = 12x - 816 - 5", "Combine constants: 5x - 9 = 12x - 821", "Subtract 12x from both sides: -7x - 9 = -821", "Add 9 to both sides: -7x = -812", "Divide both sides by -7: x = 116"], "final_answer": "116", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 9 = 12(x - 68) - 5", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 12, \"d\": 68, \"e\": 5}", "seed": "4355192780307666776", "semantic_fingerprint": "sha256:4e0fbe48cad461eba82a413c31bca31b858359269e7d2f14f5f252c9baf33c07", "generator_version": "3.0"}
{"id": "v3_val_00001276", "prompt": "Solve for x: -3(x - 92) - 60 = 8(x + 77) - 389", "solution_steps": ["Expand: -3x + 276 - 60 = 8(x + 77) - 389", "Expand: -3x + 276 - 60 = 8x + 616 - 389", "Combine constants: -3x + 216 = 8x + 616 - 389", "Combine constants: -3x + 216 = 8x + 227", "Subtract 8x from both sides: -11x + 216 = 227", "Subtract 216 from both sides: -11x = 11", "Divide both sides by -11: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 92) - 60 = 8(x + 77) - 389", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 92, \"c\": 60, \"d\": 8, \"e\": 77, \"g\": -389, \"x\": -1}", "seed": "16869435526866268083", "semantic_fingerprint": "sha256:a6b5f810af455861b6e04111a7fb61659b1abe902b959467089d3f978b824e45", "generator_version": "3.0"}
{"id": "v3_val_00001277", "prompt": "Calculate: -754 * (3 + (99 + (-97)))", "solution_steps": ["Add: 99 + (-97) = 2", "Add: 3 + 2 = 5", "Multiply: -754 * 5 = -3770"], "final_answer": "-3770", "answer_type": "integer", "kind": "expression", "math_text": "-754 * (3 + (99 + (-97)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -754, \"b\": 3, \"c\": 99, \"d\": -97}", "seed": "4965854814144794545", "semantic_fingerprint": "sha256:be1552255f33a2cc608e63cbd566ba87421a0dfde288ed5e0ded539ba2f0e9cf", "generator_version": "3.0"}
{"id": "v3_val_00001278", "prompt": "Calculate: (21 * (-813) - (-89 + (-63))) / 9", "solution_steps": ["Multiply: 21 * (-813) = -17073", "Add: -89 + (-63) = -152", "Subtract: -17073 - (-152) = -16921", "Divide: -16921 / 9 = -16921/9"], "final_answer": "-16921/9", "answer_type": "rational", "kind": "expression", "math_text": "(21 * (-813) - (-89 + (-63))) / 9", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -813, \"c\": -89, \"d\": -63, \"e\": 9}", "seed": "7989429527961352550", "semantic_fingerprint": "sha256:e5823e01bdfd7df18385b8362f837ed0b7b92724a2160a6d947c6647afa15128", "generator_version": "3.0"}
{"id": "v3_val_00001279", "prompt": "Compute: 2 * (82 - (-323) - (-3 - (-3)))", "solution_steps": ["Subtract: 82 - (-323) = 405", "Subtract: -3 - (-3) = 0", "Subtract: 405 - 0 = 405", "Multiply: 2 * 405 = 810"], "final_answer": "810", "answer_type": "integer", "kind": "expression", "math_text": "2 * (82 - (-323) - (-3 - (-3)))", "variable": null, "family": "expression_4op", "shape": "(* n (- (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 82, \"c\": -323, \"d\": -3, \"e\": -3}", "seed": "680330152477024218", "semantic_fingerprint": "sha256:21eeb768b73bc678e480160e96cb45548ec9c4f097dde5de2e429b8268b861a0", "generator_version": "3.0"}
{"id": "v3_val_00001280", "prompt": "Compute: -273 + 99 - (-7)", "solution_steps": ["Add: -273 + 99 = -174", "Subtract: -174 - (-7) = -167"], "final_answer": "-167", "answer_type": "integer", "kind": "expression", "math_text": "-273 + 99 - (-7)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -273, \"b\": 99, \"c\": -7}", "seed": "15153634562636385040", "semantic_fingerprint": "sha256:293eb45d2e12661731b99d266e5dc1d27d72636b6edd481426355edff1f15305", "generator_version": "3.0"}
{"id": "v3_val_00001281", "prompt": "What is -15 * (-7) - (-167)?", "solution_steps": ["Multiply: -15 * (-7) = 105", "Subtract: 105 - (-167) = 272"], "final_answer": "272", "answer_type": "integer", "kind": "expression", "math_text": "-15 * (-7) - (-167)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -7, \"c\": -167}", "seed": "6006890529676166055", "semantic_fingerprint": "sha256:abb7505a5b4f0780bc88f711e94e4fff86c88ae45d22c3a68df5e8136249bfcd", "generator_version": "3.0"}
{"id": "v3_val_00001282", "prompt": "What is 0 - (-67) / (-90)?", "solution_steps": ["Divide: -67 / (-90) = 67/90", "Subtract: 0 - 67/90 = -67/90"], "final_answer": "-67/90", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-67) / (-90)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -67, \"c\": -90}", "seed": "14333880250462676656", "semantic_fingerprint": "sha256:3759394494b84b7ca77cbb1e069dedb22564f85488750bb048be900202a71d1f", "generator_version": "3.0"}
{"id": "v3_val_00001283", "prompt": "What is 505 + (-950) - (-78) + (-93) / (84 * (-35))?", "solution_steps": ["Add: 505 + (-950) = -445", "Subtract: -445 - (-78) = -367", "Multiply: 84 * (-35) = -2940", "Divide: -93 / (-2940) = 31/980", "Add: -367 + 31/980 = -359629/980"], "final_answer": "-359629/980", "answer_type": "rational", "kind": "expression", "math_text": "505 + (-950) - (-78) + (-93) / (84 * (-35))", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) n) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 505, \"b\": -950, \"c\": -78, \"d\": -93, \"e\": 84, \"f\": -35}", "seed": "14417475415221719335", "semantic_fingerprint": "sha256:07414b1aa5283f08ffc1920b6e7ddd9b596daa104e2b1c22baf29f4e02e693b7", "generator_version": "3.0"}
{"id": "v3_val_00001284", "prompt": "Compute: -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": "9303143902865049251", "semantic_fingerprint": "sha256:0051f4fa6702982e469e185f65ea4b1c62d6a6bb5854451bb3434b1407dde966", "generator_version": "3.0"}
{"id": "v3_val_00001285", "prompt": "Find x: 10x + 28 = 2(x - 10)", "solution_steps": ["Expand: 10x + 28 = 2x - 20", "Subtract 2x from both sides: 8x + 28 = -20", "Subtract 28 from both sides: 8x = -48", "Divide both sides by 8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 28 = 2(x - 10)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 10, \"e\": 28, \"x\": -6}", "seed": "15567240036824578862", "semantic_fingerprint": "sha256:cae88fe04603c99c66f1cf9ea25e5a95482cd43e087535a8aea31f33ce1d7d7e", "generator_version": "3.0"}
{"id": "v3_val_00001286", "prompt": "What is 768 * 0 * ((3 + 889) / (-18 * (-712)))?", "solution_steps": ["Multiply: 768 * 0 = 0", "Add: 3 + 889 = 892", "Multiply: -18 * (-712) = 12816", "Divide: 892 / 12816 = 223/3204", "Multiply: 0 * (223/3204) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "768 * 0 * ((3 + 889) / (-18 * (-712)))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (/ (+ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 768, \"b\": 0, \"c\": 3, \"d\": 889, \"e\": -18, \"f\": -712}", "seed": "8909967569807391466", "semantic_fingerprint": "sha256:87af913849fda57db1ae7887e626b3fd39698dab11876d7643eb037ce9a9ef18", "generator_version": "3.0"}
{"id": "v3_val_00001287", "prompt": "Solve the equation 6(x + 395) = 5x - 998 for x.", "solution_steps": ["Expand: 6x + 2370 = 5x - 998", "Subtract 5x from both sides: x + 2370 = -998", "Subtract 2370 from both sides: x = -3368"], "final_answer": "-3368", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 395) = 5x - 998", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 395, \"c\": 5, \"d\": 998}", "seed": "15362815125867317395", "semantic_fingerprint": "sha256:7003370c426c601e833b1ab572914d983e31c8be5ff0aa95c06cd203d679c9e6", "generator_version": "3.0"}
{"id": "v3_val_00001288", "prompt": "What is (49 + (-58)) * (-62)?", "solution_steps": ["Add: 49 + (-58) = -9", "Multiply: -9 * (-62) = 558"], "final_answer": "558", "answer_type": "integer", "kind": "expression", "math_text": "(49 + (-58)) * (-62)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -58, \"c\": -62}", "seed": "17285267019037739211", "semantic_fingerprint": "sha256:2ef8242b42bbc56b0b1c0be89591f80f07d7423111ab1ff5598c289b99a7be97", "generator_version": "3.0"}
{"id": "v3_val_00001289", "prompt": "Evaluate: 5 / (-798 + (6 - (-6)))", "solution_steps": ["Subtract: 6 - (-6) = 12", "Add: -798 + 12 = -786", "Divide: 5 / (-786) = -5/786"], "final_answer": "-5/786", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-798 + (6 - (-6)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -798, \"c\": 6, \"d\": -6}", "seed": "8503615264111224294", "semantic_fingerprint": "sha256:b0bd1cab6c7b7daf486205f911d377008ac4d282e1565ca2de871e052520a65d", "generator_version": "3.0"}
{"id": "v3_val_00001290", "prompt": "Solve the equation 7(x + 143) = 8(x + 351) - 794 for x.", "solution_steps": ["Expand: 7x + 1001 = 8(x + 351) - 794", "Expand: 7x + 1001 = 8x + 2808 - 794", "Combine constants: 7x + 1001 = 8x + 2014", "Subtract 8x from both sides: -x + 1001 = 2014", "Subtract 1001 from both sides: -x = 1013", "Divide both sides by -1: x = -1013"], "final_answer": "-1013", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 143) = 8(x + 351) - 794", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 143, \"c\": 8, \"d\": 351, \"e\": 794}", "seed": "6282275949060818612", "semantic_fingerprint": "sha256:d128a0ffaf369d033ba78076f5172e12fab253a49b4446cb8fc26cbf8a26c768", "generator_version": "3.0"}
{"id": "v3_val_00001291", "prompt": "Solve for x: 5(x + 10) + 73 = -5", "solution_steps": ["Expand: 5x + 50 + 73 = -5", "Combine constants: 5x + 123 = -5", "Subtract 123 from both sides: 5x = -128", "Divide both sides by 5: x = -128/5"], "final_answer": "-128/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 10) + 73 = -5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 10, \"c\": 73, \"d\": -5}", "seed": "7414880890126313737", "semantic_fingerprint": "sha256:4b2d7ba58986f645e55e772805bfe9bbf8722cfc81b396711cbaa09c9a5d45b4", "generator_version": "3.0"}
{"id": "v3_val_00001292", "prompt": "Find x: 6x = 12x - 9", "solution_steps": ["Subtract 12x from both sides: -6x = -9", "Divide both sides by -6: x = 3/2"], "final_answer": "3/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = 12x - 9", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 12, \"c\": 9}", "seed": "6806866669932679374", "semantic_fingerprint": "sha256:6f14ed5b1e3d57b211ccb03f8977cfdb8fc99dd5b2ad14eb8c4a729d0b781d57", "generator_version": "3.0"}
{"id": "v3_val_00001293", "prompt": "What is -1 - (-96) - (-7) / 92?", "solution_steps": ["Subtract: -1 - (-96) = 95", "Divide: -7 / 92 = -7/92", "Subtract: 95 - (-7/92) = 8747/92"], "final_answer": "8747/92", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (-96) - (-7) / 92", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -96, \"c\": -7, \"d\": 92}", "seed": "1282065614325356870", "semantic_fingerprint": "sha256:a34c1de2880450dc602ef4e14794dcf14df3ec78eb641294b633e4e9e9099fb9", "generator_version": "3.0"}
{"id": "v3_val_00001294", "prompt": "Evaluate: -9 / (-65 / 5)", "solution_steps": ["Divide: -65 / 5 = -13", "Divide: -9 / (-13) = 9/13"], "final_answer": "9/13", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-65 / 5)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -65, \"c\": 5}", "seed": "12653302800714368109", "semantic_fingerprint": "sha256:ff943030787d6df4b38c31a6152ee5cbccf0313b430884123e784819d82798cb", "generator_version": "3.0"}
{"id": "v3_val_00001295", "prompt": "Calculate: -926 - (-44)", "solution_steps": ["Subtract: -926 - (-44) = -882"], "final_answer": "-882", "answer_type": "integer", "kind": "expression", "math_text": "-926 - (-44)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -926, \"b\": -44}", "seed": "11280837131503545910", "semantic_fingerprint": "sha256:31cbcf1b5faa487c683a63be9b2453c815e95bdb1371c1745095c3349d59833f", "generator_version": "3.0"}
{"id": "v3_val_00001296", "prompt": "What value of x satisfies 11x + 125 = 12x?", "solution_steps": ["Subtract 12x from both sides: -x + 125 = 0", "Subtract 125 from both sides: -x = -125", "Divide both sides by -1: x = 125"], "final_answer": "125", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 125 = 12x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 125, \"c\": 12}", "seed": "8508345105900363640", "semantic_fingerprint": "sha256:2e0d54543ed13644ada092c8d6bc6cd6a99be93c136cafb8960b50b023d7228e", "generator_version": "3.0"}
{"id": "v3_val_00001297", "prompt": "Solve for x: -3(x + 8) - 528 = 9(x - 64)", "solution_steps": ["Expand: -3x - 24 - 528 = 9(x - 64)", "Expand: -3x - 24 - 528 = 9x - 576", "Combine constants: -3x - 552 = 9x - 576", "Subtract 9x from both sides: -12x - 552 = -576", "Add 552 to both sides: -12x = -24", "Divide both sides by -12: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 8) - 528 = 9(x - 64)", "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\": 9, \"d\": 64, \"f\": -528, \"x\": 2}", "seed": "3556743423586002185", "semantic_fingerprint": "sha256:6799ab2627dcad8d2437d516ef24b4363936b3134612accf7c4bea3fd4e4a3c2", "generator_version": "3.0"}
{"id": "v3_val_00001298", "prompt": "Compute: 53 * 7 + (-28 - (-67 - 136)) * (-89)", "solution_steps": ["Multiply: 53 * 7 = 371", "Subtract: -67 - 136 = -203", "Subtract: -28 - (-203) = 175", "Multiply: 175 * (-89) = -15575", "Add: 371 + (-15575) = -15204"], "final_answer": "-15204", "answer_type": "integer", "kind": "expression", "math_text": "53 * 7 + (-28 - (-67 - 136)) * (-89)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (- n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 7, \"c\": -28, \"d\": -67, \"e\": 136, \"f\": -89}", "seed": "554111121328944982", "semantic_fingerprint": "sha256:91f24b9f626de6e0d635bddc97a91c7eaaf323cab5fb12a2718de9c4871aff46", "generator_version": "3.0"}
{"id": "v3_val_00001299", "prompt": "Solve the equation 2(x + 46) - 221 = -68 for x.", "solution_steps": ["Expand: 2x + 92 - 221 = -68", "Combine constants: 2x - 129 = -68", "Add 129 to both sides: 2x = 61", "Divide both sides by 2: x = 61/2"], "final_answer": "61/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 46) - 221 = -68", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 46, \"c\": 221, \"d\": -68}", "seed": "284467143829324909", "semantic_fingerprint": "sha256:80b86f23ce7fa413ff5e78ae4eb2357c693334604887bac3a7cdfb9e4e0006ae", "generator_version": "3.0"}
{"id": "v3_val_00001300", "prompt": "What value of x satisfies 3(x + 3) = 7(x - 35)?", "solution_steps": ["Expand: 3x + 9 = 7(x - 35)", "Expand: 3x + 9 = 7x - 245", "Subtract 7x from both sides: -4x + 9 = -245", "Subtract 9 from both sides: -4x = -254", "Divide both sides by -4: x = 127/2"], "final_answer": "127/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 3) = 7(x - 35)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 7, \"d\": 35}", "seed": "11595966739841528330", "semantic_fingerprint": "sha256:6621a69c3375ef361cdb9f06ba1ebb71d6672cb472ef1e4b3e3cbdf3452eb978", "generator_version": "3.0"}
{"id": "v3_val_00001301", "prompt": "Calculate: (-2 * 73 + (-61)) * (-44) / 91 + (-806)", "solution_steps": ["Multiply: -2 * 73 = -146", "Add: -146 + (-61) = -207", "Multiply: -207 * (-44) = 9108", "Divide: 9108 / 91 = 9108/91", "Add: 9108/91 + (-806) = -64238/91"], "final_answer": "-64238/91", "answer_type": "rational", "kind": "expression", "math_text": "(-2 * 73 + (-61)) * (-44) / 91 + (-806)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* (+ (* n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 73, \"c\": -61, \"d\": -44, \"e\": 91, \"f\": -806}", "seed": "7320776426568247485", "semantic_fingerprint": "sha256:754bef76e47467ac7e4ac1214f79102db34c04ab5450c3c1e5499a9d709aea66", "generator_version": "3.0"}
{"id": "v3_val_00001302", "prompt": "Solve the equation 7(x - 2) = 11(x + 7) - 79 for x.", "solution_steps": ["Expand: 7x - 14 = 11(x + 7) - 79", "Expand: 7x - 14 = 11x + 77 - 79", "Combine constants: 7x - 14 = 11x - 2", "Subtract 11x from both sides: -4x - 14 = -2", "Add 14 to both sides: -4x = 12", "Divide both sides by -4: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 2) = 11(x + 7) - 79", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 11, \"d\": 7, \"e\": 79}", "seed": "4692424259699452156", "semantic_fingerprint": "sha256:fec39cebf6e4b1e36d39263481c25a14e91d908137e5897f85194eb925df1fa0", "generator_version": "3.0"}
{"id": "v3_val_00001303", "prompt": "Evaluate: 86 + (-21 / 904 + 6)", "solution_steps": ["Divide: -21 / 904 = -21/904", "Add: -21/904 + 6 = 5403/904", "Add: 86 + 5403/904 = 83147/904"], "final_answer": "83147/904", "answer_type": "rational", "kind": "expression", "math_text": "86 + (-21 / 904 + 6)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -21, \"c\": 904, \"d\": 6}", "seed": "3084247206331182565", "semantic_fingerprint": "sha256:3486350f90982fafbe396918cf524e7f419b920e576ae613083041de8d6da993", "generator_version": "3.0"}
{"id": "v3_val_00001304", "prompt": "Calculate: -8 / (-75) + 3 - (-7)", "solution_steps": ["Divide: -8 / (-75) = 8/75", "Add: 8/75 + 3 = 233/75", "Subtract: 233/75 - (-7) = 758/75"], "final_answer": "758/75", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-75) + 3 - (-7)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -75, \"c\": 3, \"d\": -7}", "seed": "6306551947065384444", "semantic_fingerprint": "sha256:3b5565f5c3aa7d682b62e0410f692027b330cdcabadd2a4d8f0dc022c3a21d95", "generator_version": "3.0"}
{"id": "v3_val_00001305", "prompt": "Find x: -8(x - 150) = 10(x - 7)", "solution_steps": ["Expand: -8x + 1200 = 10(x - 7)", "Expand: -8x + 1200 = 10x - 70", "Subtract 10x from both sides: -18x + 1200 = -70", "Subtract 1200 from both sides: -18x = -1270", "Divide both sides by -18: x = 635/9"], "final_answer": "635/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 150) = 10(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 150, \"c\": 10, \"d\": 7}", "seed": "17721658048505710067", "semantic_fingerprint": "sha256:b23ed155ee74fb13959abcddb33a9b9422ddf51f0aab75100cd4f79f04fc522a", "generator_version": "3.0"}
{"id": "v3_val_00001306", "prompt": "What is (5 - 2) / (-45)?", "solution_steps": ["Subtract: 5 - 2 = 3", "Divide: 3 / (-45) = -1/15"], "final_answer": "-1/15", "answer_type": "rational", "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": "4584061619425643554", "semantic_fingerprint": "sha256:dd9ad42c938c324db66c06a57aeb8e2a23ecae57f80a23353f7fb3977ea0facc", "generator_version": "3.0"}
{"id": "v3_val_00001307", "prompt": "What value of x satisfies -8x + 34 = x - 20?", "solution_steps": ["Subtract x from both sides: -9x + 34 = -20", "Subtract 34 from both sides: -9x = -54", "Divide both sides by -9: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 34 = x - 20", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 34, \"d\": -20, \"x\": 6}", "seed": "6376058076853622785", "semantic_fingerprint": "sha256:4a21873863ef95ce18bb897e75a51f3543774f4228820641b715de6479e4a8f4", "generator_version": "3.0"}
{"id": "v3_val_00001308", "prompt": "What is 4 - (-96)?", "solution_steps": ["Subtract: 4 - (-96) = 100"], "final_answer": "100", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-96)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -96}", "seed": "11686093099218319621", "semantic_fingerprint": "sha256:0b8192f60d4fc9bb159c44a479616e61563b7232f0272c6e81ed8e934269520c", "generator_version": "3.0"}
{"id": "v3_val_00001309", "prompt": "Calculate: -728 + 15 + 82 + 58", "solution_steps": ["Add: -728 + 15 = -713", "Add: -713 + 82 = -631", "Add: -631 + 58 = -573"], "final_answer": "-573", "answer_type": "integer", "kind": "expression", "math_text": "-728 + 15 + 82 + 58", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -728, \"b\": 15, \"c\": 82, \"d\": 58}", "seed": "17842168371931536878", "semantic_fingerprint": "sha256:d9c75fd0e0130338f781dd316208dd24671e5ba7b12cbc743235231f18f37b46", "generator_version": "3.0"}
{"id": "v3_val_00001310", "prompt": "Calculate: -603 / (-78 - (-712)) + (-175)", "solution_steps": ["Subtract: -78 - (-712) = 634", "Divide: -603 / 634 = -603/634", "Add: -603/634 + (-175) = -111553/634"], "final_answer": "-111553/634", "answer_type": "rational", "kind": "expression", "math_text": "-603 / (-78 - (-712)) + (-175)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -603, \"b\": -78, \"c\": -712, \"d\": -175}", "seed": "8722222790177483627", "semantic_fingerprint": "sha256:2d5ea2b114d09e87cee2c7d079d414e499bcb9ab89db773466cd8eac2eeeabc2", "generator_version": "3.0"}
{"id": "v3_val_00001311", "prompt": "Solve the equation 11(x + 7) + 3 = x - 50 for x.", "solution_steps": ["Expand: 11x + 77 + 3 = x - 50", "Combine constants: 11x + 80 = x - 50", "Subtract x from both sides: 10x + 80 = -50", "Subtract 80 from both sides: 10x = -130", "Divide both sides by 10: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 7) + 3 = x - 50", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 3, \"e\": -50, \"x\": -13}", "seed": "9369451348076902175", "semantic_fingerprint": "sha256:bd393c10a9a61c30d804b54c6b6ed0ccbb389d556def74e2a5ef03dd2a0b8e4b", "generator_version": "3.0"}
{"id": "v3_val_00001312", "prompt": "What is 441 / (-3) / (45 - (-54))?", "solution_steps": ["Divide: 441 / (-3) = -147", "Subtract: 45 - (-54) = 99", "Divide: -147 / 99 = -49/33"], "final_answer": "-49/33", "answer_type": "rational", "kind": "expression", "math_text": "441 / (-3) / (45 - (-54))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 441, \"b\": -3, \"c\": 45, \"d\": -54}", "seed": "7224450788705493668", "semantic_fingerprint": "sha256:f170efb2ed611c904dbf2f7c08dee5c6a2b733de0d67d88cb9a3a05c4a30b057", "generator_version": "3.0"}
{"id": "v3_val_00001313", "prompt": "Calculate: 673 / ((-3 - (-714)) / 17)", "solution_steps": ["Subtract: -3 - (-714) = 711", "Divide: 711 / 17 = 711/17", "Divide: 673 / (711/17) = 11441/711"], "final_answer": "11441/711", "answer_type": "rational", "kind": "expression", "math_text": "673 / ((-3 - (-714)) / 17)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 673, \"b\": -3, \"c\": -714, \"d\": 17}", "seed": "15213175302951701666", "semantic_fingerprint": "sha256:b2a008320c44086d056ec427ddc32322f13e837542c6043067d02f833ee28fe4", "generator_version": "3.0"}
{"id": "v3_val_00001314", "prompt": "Solve for x: x = 10x - 63", "solution_steps": ["Subtract 10x from both sides: -9x = -63", "Divide both sides by -9: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 10x - 63", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": -63, \"x\": 7}", "seed": "16018268460165890259", "semantic_fingerprint": "sha256:f813038ccc168574b36d6f6177d41ddbb0a413574138c95a3171878600468d05", "generator_version": "3.0"}
{"id": "v3_val_00001315", "prompt": "Solve the equation x + 37 = -6x + 149 for x.", "solution_steps": ["Add 6x to both sides: 7x + 37 = 149", "Subtract 37 from both sides: 7x = 112", "Divide both sides by 7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 37 = -6x + 149", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -6, \"d\": 149, \"x\": 16}", "seed": "2607636482451695877", "semantic_fingerprint": "sha256:cc8cd9b6071050086d674c6087a26b48aa8a13adc507ae109a3534cc29551a9d", "generator_version": "3.0"}
{"id": "v3_val_00001316", "prompt": "What is 39 + (-9 - 50 + 8)?", "solution_steps": ["Subtract: -9 - 50 = -59", "Add: -59 + 8 = -51", "Add: 39 + (-51) = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "39 + (-9 - 50 + 8)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -9, \"c\": 50, \"d\": 8}", "seed": "8975526417942116517", "semantic_fingerprint": "sha256:881852634ea6aeec3e3bfe4f41a686b82646bbf12ab2e9413b72b25160d3f0b7", "generator_version": "3.0"}
{"id": "v3_val_00001317", "prompt": "Compute: -2 * (-71 + (-567))", "solution_steps": ["Add: -71 + (-567) = -638", "Multiply: -2 * (-638) = 1276"], "final_answer": "1276", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-71 + (-567))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -71, \"c\": -567}", "seed": "12143811319125689475", "semantic_fingerprint": "sha256:263a4aeae8ff9aac92ec2fb135752d359c6ff40b17eb192496ec0615da004a0d", "generator_version": "3.0"}
{"id": "v3_val_00001318", "prompt": "Find x: -7x - 216 = 5x", "solution_steps": ["Subtract 5x from both sides: -12x - 216 = 0", "Add 216 to both sides: -12x = 216", "Divide both sides by -12: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 216 = 5x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 5, \"d\": -216, \"x\": -18}", "seed": "15745662774039388663", "semantic_fingerprint": "sha256:df5dcc4bf5681af7be1d7705613b994b95d465e11b77444e6622d8186d3af45a", "generator_version": "3.0"}
{"id": "v3_val_00001319", "prompt": "Solve the equation 11(x - 21) + 8 = x for x.", "solution_steps": ["Expand: 11x - 231 + 8 = x", "Combine constants: 11x - 223 = x", "Subtract x from both sides: 10x - 223 = 0", "Add 223 to both sides: 10x = 223", "Divide both sides by 10: x = 223/10"], "final_answer": "223/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 21) + 8 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 21, \"c\": 8}", "seed": "16428630695919337369", "semantic_fingerprint": "sha256:bb5c4d383fcd1ab57432f4a581b104d9707410b1a01458a891931234895dfb80", "generator_version": "3.0"}
{"id": "v3_val_00001320", "prompt": "Calculate: 9 / 14 / (-311 + 128 - 3)", "solution_steps": ["Divide: 9 / 14 = 9/14", "Add: -311 + 128 = -183", "Subtract: -183 - 3 = -186", "Divide: (9/14) / (-186) = -3/868"], "final_answer": "-3/868", "answer_type": "rational", "kind": "expression", "math_text": "9 / 14 / (-311 + 128 - 3)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 14, \"c\": -311, \"d\": 128, \"e\": 3}", "seed": "13754419705485228620", "semantic_fingerprint": "sha256:fe52dcaa5189e4ad47362d64aa9b6e9be11c72a5a7a50e3b6f37e112d9b9202c", "generator_version": "3.0"}
{"id": "v3_val_00001321", "prompt": "Compute: -963 / 7", "solution_steps": ["Divide: -963 / 7 = -963/7"], "final_answer": "-963/7", "answer_type": "rational", "kind": "expression", "math_text": "-963 / 7", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -963, \"b\": 7}", "seed": "2482610121453496980", "semantic_fingerprint": "sha256:3c25c5427d1d96dc6bae4f39b2044b7dc7b4cf7adeede0f6b44a0cf0cc8143f7", "generator_version": "3.0"}
{"id": "v3_val_00001322", "prompt": "Find x: x = 5(x + 495)", "solution_steps": ["Expand: x = 5x + 2475", "Subtract 5x from both sides: -4x = 2475", "Divide both sides by -4: x = -2475/4"], "final_answer": "-2475/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 5(x + 495)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 495}", "seed": "8136478481876767586", "semantic_fingerprint": "sha256:8bcaf1e8ab70fbe700aadb040430a30cadf4566ae6caaa6e78ce313bb2689354", "generator_version": "3.0"}
{"id": "v3_val_00001323", "prompt": "What is 2 * (-5 * 0 * (-7)) * (91 + (-22))?", "solution_steps": ["Multiply: -5 * 0 = 0", "Multiply: 0 * (-7) = 0", "Multiply: 2 * 0 = 0", "Add: 91 + (-22) = 69", "Multiply: 0 * 69 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-5 * 0 * (-7)) * (91 + (-22))", "variable": null, "family": "expression_5op", "shape": "(* (* n (* (* n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -5, \"c\": 0, \"d\": -7, \"e\": 91, \"f\": -22}", "seed": "18021494323663889684", "semantic_fingerprint": "sha256:154f5d9748eb31a0c5c5add078ecd89cfc8b9101c0fe71d723e1878758f82621", "generator_version": "3.0"}
{"id": "v3_val_00001324", "prompt": "What value of x satisfies -4(x + 39) + 921 = 685?", "solution_steps": ["Expand: -4x - 156 + 921 = 685", "Combine constants: -4x + 765 = 685", "Subtract 765 from both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 39) + 921 = 685", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 39, \"c\": 921, \"e\": 685, \"x\": 20}", "seed": "16017925271169329549", "semantic_fingerprint": "sha256:7ceb899128dbab76e985161ab33e62b39e7619b7a724804f1017d4c24511c966", "generator_version": "3.0"}
{"id": "v3_val_00001325", "prompt": "Solve for x: 10(x - 72) + 693 = x", "solution_steps": ["Expand: 10x - 720 + 693 = x", "Combine constants: 10x - 27 = x", "Subtract x from both sides: 9x - 27 = 0", "Add 27 to both sides: 9x = 27", "Divide both sides by 9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 72) + 693 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 72, \"d\": 693, \"x\": 3}", "seed": "4740245899508542735", "semantic_fingerprint": "sha256:54725d4e60f92187218754e15ae8112f3a6e627527683317594aecc45771521d", "generator_version": "3.0"}
{"id": "v3_val_00001326", "prompt": "Evaluate: (-812 - 581) / (90 - (-50 + (-5)))", "solution_steps": ["Subtract: -812 - 581 = -1393", "Add: -50 + (-5) = -55", "Subtract: 90 - (-55) = 145", "Divide: -1393 / 145 = -1393/145"], "final_answer": "-1393/145", "answer_type": "rational", "kind": "expression", "math_text": "(-812 - 581) / (90 - (-50 + (-5)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -812, \"b\": 581, \"c\": 90, \"d\": -50, \"e\": -5}", "seed": "13717430823617480461", "semantic_fingerprint": "sha256:e2628938f4fa8221df82acfe6c8a0f2ffd68937b573950efe615902902fd90e8", "generator_version": "3.0"}
{"id": "v3_val_00001327", "prompt": "What value of x satisfies -7x = 4x + 4?", "solution_steps": ["Subtract 4x from 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 = 4x + 4", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 4}", "seed": "701815682196039150", "semantic_fingerprint": "sha256:0f9e16fae89a14a8841ce4fa55b52fe082b92f760c62899b7da982a09a8cba8b", "generator_version": "3.0"}
{"id": "v3_val_00001328", "prompt": "What is -5 * (89 - 490)?", "solution_steps": ["Subtract: 89 - 490 = -401", "Multiply: -5 * (-401) = 2005"], "final_answer": "2005", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (89 - 490)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 89, \"c\": 490}", "seed": "9938703893553701831", "semantic_fingerprint": "sha256:0614b7c1aec30e7c1681341fb4aeb1731dcad0b57116d8a6c6b4eb7eff583fca", "generator_version": "3.0"}
{"id": "v3_val_00001329", "prompt": "What is -55 / 155 * ((-9 - 957) / (-2))?", "solution_steps": ["Divide: -55 / 155 = -11/31", "Subtract: -9 - 957 = -966", "Divide: -966 / (-2) = 483", "Multiply: (-11/31) * 483 = -5313/31"], "final_answer": "-5313/31", "answer_type": "rational", "kind": "expression", "math_text": "-55 / 155 * ((-9 - 957) / (-2))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 155, \"c\": -9, \"d\": 957, \"e\": -2}", "seed": "13461516911555086193", "semantic_fingerprint": "sha256:b4c01c69cf3e9344b297ae4e01c3738a35513e93e71570de8f5111003ad7bd37", "generator_version": "3.0"}
{"id": "v3_val_00001330", "prompt": "Solve the equation 6(x + 90) = 8x for x.", "solution_steps": ["Expand: 6x + 540 = 8x", "Subtract 8x from both sides: -2x + 540 = 0", "Subtract 540 from both sides: -2x = -540", "Divide both sides by -2: x = 270"], "final_answer": "270", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 90) = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 90, \"c\": 8}", "seed": "9939197011518341974", "semantic_fingerprint": "sha256:70718d8fcce91c4715f4f2c869c83d16e845fc47b1b8cd643ce0c0bf783ea65a", "generator_version": "3.0"}
{"id": "v3_val_00001331", "prompt": "Evaluate: 50 + (-8 + 7)", "solution_steps": ["Add: -8 + 7 = -1", "Add: 50 + (-1) = 49"], "final_answer": "49", "answer_type": "integer", "kind": "expression", "math_text": "50 + (-8 + 7)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -8, \"c\": 7}", "seed": "15123457827895871921", "semantic_fingerprint": "sha256:12098dcae10ea8687237ea4d6d00e58addf86fa8e7723df85cf00fc595a2c288", "generator_version": "3.0"}
{"id": "v3_val_00001332", "prompt": "Evaluate: 54 / (9 - 41) * 48", "solution_steps": ["Subtract: 9 - 41 = -32", "Divide: 54 / (-32) = -27/16", "Multiply: (-27/16) * 48 = -81"], "final_answer": "-81", "answer_type": "integer", "kind": "expression", "math_text": "54 / (9 - 41) * 48", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 9, \"c\": 41, \"d\": 48}", "seed": "1571359867344914491", "semantic_fingerprint": "sha256:b739ecbd4444040580bc348d2b008f5dd361c9bfc58d9b9286d3dd00fa30a57a", "generator_version": "3.0"}
{"id": "v3_val_00001333", "prompt": "Compute: -4 * (58 * 49)", "solution_steps": ["Multiply: 58 * 49 = 2842", "Multiply: -4 * 2842 = -11368"], "final_answer": "-11368", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (58 * 49)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 58, \"c\": 49}", "seed": "15251644473041725344", "semantic_fingerprint": "sha256:697f7f6bba635ce7c3c6dffe6580aaceb39c36bcef1d9ebcf00fd4c855f1996b", "generator_version": "3.0"}
{"id": "v3_val_00001334", "prompt": "Calculate: 3 * 71", "solution_steps": ["Multiply: 3 * 71 = 213"], "final_answer": "213", "answer_type": "integer", "kind": "expression", "math_text": "3 * 71", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 71}", "seed": "9340142055098999913", "semantic_fingerprint": "sha256:c9a6abe9616d98b98773a2473c5717ca69375f185d5239ec60dd4b2c99e663cc", "generator_version": "3.0"}
{"id": "v3_val_00001335", "prompt": "What value of x satisfies 3(x + 5) + 99 = 9x + 204?", "solution_steps": ["Expand: 3x + 15 + 99 = 9x + 204", "Combine constants: 3x + 114 = 9x + 204", "Subtract 9x from both sides: -6x + 114 = 204", "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": "3(x + 5) + 99 = 9x + 204", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 99, \"d\": 9, \"f\": 204, \"x\": -15}", "seed": "3692237618736731891", "semantic_fingerprint": "sha256:41d0f6835495cf488a383add28635f3c0d9588d6f6e30a6053f99f86d39a53de", "generator_version": "3.0"}
{"id": "v3_val_00001336", "prompt": "What value of x satisfies 7(x - 47) + 97 = x - 262?", "solution_steps": ["Expand: 7x - 329 + 97 = x - 262", "Combine constants: 7x - 232 = x - 262", "Subtract x from both sides: 6x - 232 = -262", "Add 232 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 - 47) + 97 = x - 262", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 47, \"c\": 97, \"e\": -262, \"x\": -5}", "seed": "9643762810595833296", "semantic_fingerprint": "sha256:bcca634ba79ebe1f182833d468ea14252f0830bf4482e6969d179a190dca108d", "generator_version": "3.0"}
{"id": "v3_val_00001337", "prompt": "What value of x satisfies 12x + 89 = -115?", "solution_steps": ["Subtract 89 from both sides: 12x = -204", "Divide both sides by 12: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 89 = -115", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 89, \"d\": -115, \"x\": -17}", "seed": "13728805967073967309", "semantic_fingerprint": "sha256:473473e94e0f7dd1a7b846f9fdc6515854d2aba9cf4023f9ad3133c1ad2d46fa", "generator_version": "3.0"}
{"id": "v3_val_00001338", "prompt": "Evaluate: (252 + (-2)) * (-3)", "solution_steps": ["Add: 252 + (-2) = 250", "Multiply: 250 * (-3) = -750"], "final_answer": "-750", "answer_type": "integer", "kind": "expression", "math_text": "(252 + (-2)) * (-3)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 252, \"b\": -2, \"c\": -3}", "seed": "10172231834317986310", "semantic_fingerprint": "sha256:f840a5d8092f27f3fbee0c3cb2106d2268f850f06457bd12fee56a9d328866ca", "generator_version": "3.0"}
{"id": "v3_val_00001339", "prompt": "Compute: -278 / 952", "solution_steps": ["Divide: -278 / 952 = -139/476"], "final_answer": "-139/476", "answer_type": "rational", "kind": "expression", "math_text": "-278 / 952", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -278, \"b\": 952}", "seed": "3026539882484136097", "semantic_fingerprint": "sha256:23d4fff17e0f0d1d43c60fa4eb2f15079896d85d61ca749e44856f8b2bebc3d2", "generator_version": "3.0"}
{"id": "v3_val_00001340", "prompt": "Solve the equation 9x = x + 88 for x.", "solution_steps": ["Subtract x from both sides: 8x = 88", "Divide both sides by 8: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = x + 88", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 88, \"x\": 11}", "seed": "5782756534405074309", "semantic_fingerprint": "sha256:6eab89a2751733eb3936355f640e3d3d4e7765ac0cbef7b29d43e9d964e7b775", "generator_version": "3.0"}
{"id": "v3_val_00001341", "prompt": "Evaluate: -6 - 955 - 431", "solution_steps": ["Subtract: -6 - 955 = -961", "Subtract: -961 - 431 = -1392"], "final_answer": "-1392", "answer_type": "integer", "kind": "expression", "math_text": "-6 - 955 - 431", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 955, \"c\": 431}", "seed": "12896059265466966208", "semantic_fingerprint": "sha256:c691f9442f54268dce99462625fcb455422c4f946d173c64be093a1bdc043b4a", "generator_version": "3.0"}
{"id": "v3_val_00001342", "prompt": "What value of x satisfies 12(x - 66) + 164 = 11(x - 6) + 503?", "solution_steps": ["Expand: 12x - 792 + 164 = 11(x - 6) + 503", "Expand: 12x - 792 + 164 = 11x - 66 + 503", "Combine constants: 12x - 628 = 11x - 66 + 503", "Combine constants: 12x - 628 = 11x + 437", "Subtract 11x from both sides: x - 628 = 437", "Add 628 to both sides: x = 1065"], "final_answer": "1065", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 66) + 164 = 11(x - 6) + 503", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 66, \"c\": 164, \"d\": 11, \"e\": 6, \"f\": 503}", "seed": "8073917003325681068", "semantic_fingerprint": "sha256:dd5cf031fb94a4994d63a6ebe0cec5ec80ab40151c5d8ffee91bf6ab86570561", "generator_version": "3.0"}
{"id": "v3_val_00001343", "prompt": "Calculate: -5 / (-944)", "solution_steps": ["Divide: -5 / (-944) = 5/944"], "final_answer": "5/944", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-944)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -944}", "seed": "5703226430213018293", "semantic_fingerprint": "sha256:9397bf1f059e1ff152792147efc869fbd1fe94c41260a149d691e06ae2d98a1a", "generator_version": "3.0"}
{"id": "v3_val_00001344", "prompt": "Find x: x + 59 = 5(x + 64) - 257", "solution_steps": ["Expand: x + 59 = 5x + 320 - 257", "Combine constants: x + 59 = 5x + 63", "Subtract 5x from both sides: -4x + 59 = 63", "Subtract 59 from both sides: -4x = 4", "Divide both sides by -4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 59 = 5(x + 64) - 257", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 5, \"c\": 64, \"e\": -257, \"x\": -1}", "seed": "12060844936005443648", "semantic_fingerprint": "sha256:2c2d3d78530b3d2e651b59cee8d6e363739d794f7ec32a377a0fd5f396e3a007", "generator_version": "3.0"}
{"id": "v3_val_00001345", "prompt": "What is 711 * (13 * 70) + 52 - 72?", "solution_steps": ["Multiply: 13 * 70 = 910", "Multiply: 711 * 910 = 647010", "Add: 647010 + 52 = 647062", "Subtract: 647062 - 72 = 646990"], "final_answer": "646990", "answer_type": "integer", "kind": "expression", "math_text": "711 * (13 * 70) + 52 - 72", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 711, \"b\": 13, \"c\": 70, \"d\": 52, \"e\": 72}", "seed": "8256429737306330471", "semantic_fingerprint": "sha256:5e0f65d12aff013d68b32c982b70762c06597601f8b4b314b33fc84ed8fa01e0", "generator_version": "3.0"}
{"id": "v3_val_00001346", "prompt": "What value of x satisfies x + 965 = 10(x + 9) + 830?", "solution_steps": ["Expand: x + 965 = 10x + 90 + 830", "Combine constants: x + 965 = 10x + 920", "Subtract 10x from both sides: -9x + 965 = 920", "Subtract 965 from both sides: -9x = -45", "Divide both sides by -9: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 965 = 10(x + 9) + 830", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 965, \"b\": 10, \"c\": 9, \"e\": 830, \"x\": 5}", "seed": "16296250684400321407", "semantic_fingerprint": "sha256:7a0dc833e3027a74bd07f71d2f7889f33bc2d264b787c313f6229591920a46cc", "generator_version": "3.0"}
{"id": "v3_val_00001347", "prompt": "Compute: 42 / (-643) + (-47) * (-25 - 135 * 0)", "solution_steps": ["Divide: 42 / (-643) = -42/643", "Multiply: 135 * 0 = 0", "Subtract: -25 - 0 = -25", "Multiply: -47 * (-25) = 1175", "Add: -42/643 + 1175 = 755483/643"], "final_answer": "755483/643", "answer_type": "rational", "kind": "expression", "math_text": "42 / (-643) + (-47) * (-25 - 135 * 0)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* n (- n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -643, \"c\": -47, \"d\": -25, \"e\": 135, \"f\": 0}", "seed": "12701955248095015007", "semantic_fingerprint": "sha256:ddce2b265b610cffe385c6f86181ffe0ab14f35f104b7eb559aef49c64913fe5", "generator_version": "3.0"}
{"id": "v3_val_00001348", "prompt": "What is 62 + (6 + (-662))?", "solution_steps": ["Add: 6 + (-662) = -656", "Add: 62 + (-656) = -594"], "final_answer": "-594", "answer_type": "integer", "kind": "expression", "math_text": "62 + (6 + (-662))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 6, \"c\": -662}", "seed": "16480861374924393241", "semantic_fingerprint": "sha256:965661a5f54e73ac4120e26ea05058f4a27a01e783f7fc52b022a74ea1aa6edd", "generator_version": "3.0"}
{"id": "v3_val_00001349", "prompt": "Compute: (-3 + 52) * 0", "solution_steps": ["Add: -3 + 52 = 49", "Multiply: 49 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-3 + 52) * 0", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 52, \"c\": 0}", "seed": "571782180833048057", "semantic_fingerprint": "sha256:060f0e4bf74875c24e8aedbddd2449ad7aaf90d8fd50a4cac99fb6761d300149", "generator_version": "3.0"}
{"id": "v3_val_00001350", "prompt": "Calculate: 98 + (-45) - (-93)", "solution_steps": ["Add: 98 + (-45) = 53", "Subtract: 53 - (-93) = 146"], "final_answer": "146", "answer_type": "integer", "kind": "expression", "math_text": "98 + (-45) - (-93)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -45, \"c\": -93}", "seed": "18341834754616739077", "semantic_fingerprint": "sha256:7283672b73bf66d4eb6a82689bb6328595c0754682d581ae649d98888eed6e5a", "generator_version": "3.0"}
{"id": "v3_val_00001351", "prompt": "Solve the equation 2x - 30 = 12x for x.", "solution_steps": ["Subtract 12x from both sides: -10x - 30 = 0", "Add 30 to both sides: -10x = 30", "Divide both sides by -10: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 30 = 12x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 12, \"d\": -30, \"x\": -3}", "seed": "9216870610465303505", "semantic_fingerprint": "sha256:600892e12550af750a186be1a433016d167632320655eb9127b321dad4014a76", "generator_version": "3.0"}
{"id": "v3_val_00001352", "prompt": "Calculate: (7 + (-318)) * (42 / (4 * 53))", "solution_steps": ["Add: 7 + (-318) = -311", "Multiply: 4 * 53 = 212", "Divide: 42 / 212 = 21/106", "Multiply: -311 * (21/106) = -6531/106"], "final_answer": "-6531/106", "answer_type": "rational", "kind": "expression", "math_text": "(7 + (-318)) * (42 / (4 * 53))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -318, \"c\": 42, \"d\": 4, \"e\": 53}", "seed": "14681227769043161335", "semantic_fingerprint": "sha256:d35f2344cf86e7b7ce04a0cf50f5bea4183eff775921a61cafd914f0df08222d", "generator_version": "3.0"}
{"id": "v3_val_00001353", "prompt": "Solve for x: 2x + 27 = 5x", "solution_steps": ["Subtract 5x 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": "2x + 27 = 5x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"d\": 27, \"x\": 9}", "seed": "15970054157174044168", "semantic_fingerprint": "sha256:54cc4f800bcfcfdec57253f66caf2febc36fb9ace4c1132a55609184ea9464e2", "generator_version": "3.0"}
{"id": "v3_val_00001354", "prompt": "Compute: 2 / (71 / 64 - 55)", "solution_steps": ["Divide: 71 / 64 = 71/64", "Subtract: 71/64 - 55 = -3449/64", "Divide: 2 / (-3449/64) = -128/3449"], "final_answer": "-128/3449", "answer_type": "rational", "kind": "expression", "math_text": "2 / (71 / 64 - 55)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 71, \"c\": 64, \"d\": 55}", "seed": "811984990017268700", "semantic_fingerprint": "sha256:7c3ddf01e6781881deaf070e58fa5785f4b34cb7a9330d510e77d675595e938f", "generator_version": "3.0"}
{"id": "v3_val_00001355", "prompt": "Compute: (-5 - (-1)) * 61 / 7", "solution_steps": ["Subtract: -5 - (-1) = -4", "Multiply: -4 * 61 = -244", "Divide: -244 / 7 = -244/7"], "final_answer": "-244/7", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - (-1)) * 61 / 7", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -1, \"c\": 61, \"d\": 7}", "seed": "7084089703545796023", "semantic_fingerprint": "sha256:53c5d602a3963df08aaa8092db60a61f55a6e02b27702c78e178bc185671dfae", "generator_version": "3.0"}
{"id": "v3_val_00001356", "prompt": "What is -780 + 21 + 3?", "solution_steps": ["Add: -780 + 21 = -759", "Add: -759 + 3 = -756"], "final_answer": "-756", "answer_type": "integer", "kind": "expression", "math_text": "-780 + 21 + 3", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -780, \"b\": 21, \"c\": 3}", "seed": "14651338853719639512", "semantic_fingerprint": "sha256:ff843ff7cbd4c7325cb52b64d39bbc87aa87c254b34cf11033a1795692f17bfd", "generator_version": "3.0"}
{"id": "v3_val_00001357", "prompt": "What is 1 * (184 * (-699)) * (0 / 1) + 901?", "solution_steps": ["Multiply: 184 * (-699) = -128616", "Multiply: 1 * (-128616) = -128616", "Divide: 0 / 1 = 0", "Multiply: -128616 * 0 = 0", "Add: 0 + 901 = 901"], "final_answer": "901", "answer_type": "integer", "kind": "expression", "math_text": "1 * (184 * (-699)) * (0 / 1) + 901", "variable": null, "family": "expression_5op", "shape": "(+ (* (* n (* n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 184, \"c\": -699, \"d\": 0, \"e\": 1, \"f\": 901}", "seed": "4653825647155171301", "semantic_fingerprint": "sha256:ea513842744aef75235e6cb88338cb9cd6e8f1442c687529af0187edb7bb1252", "generator_version": "3.0"}
{"id": "v3_val_00001358", "prompt": "Compute: 65 * (-5 + (4 - (0 - (-67))))", "solution_steps": ["Subtract: 0 - (-67) = 67", "Subtract: 4 - 67 = -63", "Add: -5 + (-63) = -68", "Multiply: 65 * (-68) = -4420"], "final_answer": "-4420", "answer_type": "integer", "kind": "expression", "math_text": "65 * (-5 + (4 - (0 - (-67))))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (- n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -5, \"c\": 4, \"d\": 0, \"e\": -67}", "seed": "14020195260354252136", "semantic_fingerprint": "sha256:ccff625b27b354706da6b50af83ae170a9e74ecf994d6621599de03787c1e629", "generator_version": "3.0"}
{"id": "v3_val_00001359", "prompt": "What is 65 / 261 / 50?", "solution_steps": ["Divide: 65 / 261 = 65/261", "Divide: (65/261) / 50 = 13/2610"], "final_answer": "13/2610", "answer_type": "rational", "kind": "expression", "math_text": "65 / 261 / 50", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 261, \"c\": 50}", "seed": "3387131645251308189", "semantic_fingerprint": "sha256:5b180632f2047b40b4fe26d4a3cc0e1b1d37b80c2aa61a5bc5ccf9d4701079df", "generator_version": "3.0"}
{"id": "v3_val_00001360", "prompt": "Compute: (393 + 29) * 8", "solution_steps": ["Add: 393 + 29 = 422", "Multiply: 422 * 8 = 3376"], "final_answer": "3376", "answer_type": "integer", "kind": "expression", "math_text": "(393 + 29) * 8", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 393, \"b\": 29, \"c\": 8}", "seed": "14775033906096011487", "semantic_fingerprint": "sha256:8af917e89cad70315c4b0c3df2f99b4a3e8acd66d9fa0131485ce7df650b3d83", "generator_version": "3.0"}
{"id": "v3_val_00001361", "prompt": "What is -4 - (90 - (-8) + (120 - 5)) * 5?", "solution_steps": ["Subtract: 90 - (-8) = 98", "Subtract: 120 - 5 = 115", "Add: 98 + 115 = 213", "Multiply: 213 * 5 = 1065", "Subtract: -4 - 1065 = -1069"], "final_answer": "-1069", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (90 - (-8) + (120 - 5)) * 5", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ (- n n) (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 90, \"c\": -8, \"d\": 120, \"e\": 5, \"f\": 5}", "seed": "18352816145502739073", "semantic_fingerprint": "sha256:1e060dcb68ace2ff38221709dce96cf3b523fa0a8a6d63a8709bd622793b0481", "generator_version": "3.0"}
{"id": "v3_val_00001362", "prompt": "What value of x satisfies 12(x + 359) - 18 = 11x - 63?", "solution_steps": ["Expand: 12x + 4308 - 18 = 11x - 63", "Combine constants: 12x + 4290 = 11x - 63", "Subtract 11x from both sides: x + 4290 = -63", "Subtract 4290 from both sides: x = -4353"], "final_answer": "-4353", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 359) - 18 = 11x - 63", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 359, \"c\": 18, \"d\": 11, \"e\": 63}", "seed": "2898207260570646204", "semantic_fingerprint": "sha256:400a3a0c72df9285dd32cd1a502cd16051160603e66139bd743aba33ce04d076", "generator_version": "3.0"}
{"id": "v3_val_00001363", "prompt": "What is (74 + (-13)) / 97?", "solution_steps": ["Add: 74 + (-13) = 61", "Divide: 61 / 97 = 61/97"], "final_answer": "61/97", "answer_type": "rational", "kind": "expression", "math_text": "(74 + (-13)) / 97", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -13, \"c\": 97}", "seed": "12228661155184377956", "semantic_fingerprint": "sha256:826ae619a9f4aed20b02bcfd17f4f4ccfea5fedde6b4ea8695bcd060b3d3ea04", "generator_version": "3.0"}
{"id": "v3_val_00001364", "prompt": "Find x: 4(x + 4) + 24 = 7(x - 33) + 250", "solution_steps": ["Expand: 4x + 16 + 24 = 7(x - 33) + 250", "Expand: 4x + 16 + 24 = 7x - 231 + 250", "Combine constants: 4x + 40 = 7x - 231 + 250", "Combine constants: 4x + 40 = 7x + 19", "Subtract 7x from both sides: -3x + 40 = 19", "Subtract 40 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 + 4) + 24 = 7(x - 33) + 250", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 24, \"d\": 7, \"e\": 33, \"g\": 250, \"x\": 7}", "seed": "16076977250830208566", "semantic_fingerprint": "sha256:a74f7650882da91dca60e6bc8c64b669ae11e85159786dd8882092c9ff19003e", "generator_version": "3.0"}
{"id": "v3_val_00001365", "prompt": "What value of x satisfies x + 6 = 8(x + 60) + 55?", "solution_steps": ["Expand: x + 6 = 8x + 480 + 55", "Combine constants: x + 6 = 8x + 535", "Subtract 8x from both sides: -7x + 6 = 535", "Subtract 6 from both sides: -7x = 529", "Divide both sides by -7: x = -529/7"], "final_answer": "-529/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6 = 8(x + 60) + 55", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 60, \"d\": 55}", "seed": "4101338381467912310", "semantic_fingerprint": "sha256:0ee844e8823fe3dd11c14af2a67a73db02108dcc4e7c9ac348e136179c2ca7ec", "generator_version": "3.0"}
{"id": "v3_val_00001366", "prompt": "Find x: 10x + 9 = x", "solution_steps": ["Subtract x from both sides: 9x + 9 = 0", "Subtract 9 from 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": "10849194284995817218", "semantic_fingerprint": "sha256:80b868c4657480eee15b048ee18a38ac9a8e13437bfa10bfe105a94455564687", "generator_version": "3.0"}
{"id": "v3_val_00001367", "prompt": "Solve for x: 8x - 54 = -3(x - 92) + 3", "solution_steps": ["Expand: 8x - 54 = -3x + 276 + 3", "Combine constants: 8x - 54 = -3x + 279", "Add 3x to both sides: 11x - 54 = 279", "Add 54 to both sides: 11x = 333", "Divide both sides by 11: x = 333/11"], "final_answer": "333/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 54 = -3(x - 92) + 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 54, \"c\": -3, \"d\": 92, \"e\": 3}", "seed": "7801599157073441327", "semantic_fingerprint": "sha256:1d8399279be4ad89cdef389abdebf63853e8f349a07cee82db3e1f225bd1c4a9", "generator_version": "3.0"}
{"id": "v3_val_00001368", "prompt": "Calculate: -86 + (-99)", "solution_steps": ["Add: -86 + (-99) = -185"], "final_answer": "-185", "answer_type": "integer", "kind": "expression", "math_text": "-86 + (-99)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -99}", "seed": "12259457648870825433", "semantic_fingerprint": "sha256:057e78a25c9f6614a8048195111ac9040c0c8838894b594deae06fb7771d7057", "generator_version": "3.0"}
{"id": "v3_val_00001369", "prompt": "What is (-17 - 405) / 517?", "solution_steps": ["Subtract: -17 - 405 = -422", "Divide: -422 / 517 = -422/517"], "final_answer": "-422/517", "answer_type": "rational", "kind": "expression", "math_text": "(-17 - 405) / 517", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 405, \"c\": 517}", "seed": "11414576130017441418", "semantic_fingerprint": "sha256:ce31960cc28f9c8143b333e18d4520877429c53a7c987a3623fdc6a66bba485f", "generator_version": "3.0"}
{"id": "v3_val_00001370", "prompt": "Find x: 4(x + 664) - 7 = 7(x + 20)", "solution_steps": ["Expand: 4x + 2656 - 7 = 7(x + 20)", "Expand: 4x + 2656 - 7 = 7x + 140", "Combine constants: 4x + 2649 = 7x + 140", "Subtract 7x from both sides: -3x + 2649 = 140", "Subtract 2649 from both sides: -3x = -2509", "Divide both sides by -3: x = 2509/3"], "final_answer": "2509/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 664) - 7 = 7(x + 20)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 664, \"c\": 7, \"d\": 7, \"e\": 20}", "seed": "15739261857694642158", "semantic_fingerprint": "sha256:2af990fd1f91d2ea7f36de7a8e68d25c96e2fdbcb1fef23f3873e7d430a6ff89", "generator_version": "3.0"}
{"id": "v3_val_00001371", "prompt": "Calculate: -3 * (69 / 674 * 4)", "solution_steps": ["Divide: 69 / 674 = 69/674", "Multiply: (69/674) * 4 = 138/337", "Multiply: -3 * (138/337) = -414/337"], "final_answer": "-414/337", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (69 / 674 * 4)", "variable": null, "family": "expression_3op", "shape": "(* n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 69, \"c\": 674, \"d\": 4}", "seed": "12201813396016367750", "semantic_fingerprint": "sha256:fa28dab9fceac25abf0ac09850f228aaf5ecf55d585c5ae2b5d19d67ad83400d", "generator_version": "3.0"}
{"id": "v3_val_00001372", "prompt": "What is -132 + (-986) + (-58) * (-90)?", "solution_steps": ["Add: -132 + (-986) = -1118", "Multiply: -58 * (-90) = 5220", "Add: -1118 + 5220 = 4102"], "final_answer": "4102", "answer_type": "integer", "kind": "expression", "math_text": "-132 + (-986) + (-58) * (-90)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -132, \"b\": -986, \"c\": -58, \"d\": -90}", "seed": "11915398754652654685", "semantic_fingerprint": "sha256:b168d92d417b40e6de12f75a1d33dccb41967bb9c464787178a6ac04019c3380", "generator_version": "3.0"}
{"id": "v3_val_00001373", "prompt": "Evaluate: -4 / (309 * (-10))", "solution_steps": ["Multiply: 309 * (-10) = -3090", "Divide: -4 / (-3090) = 2/1545"], "final_answer": "2/1545", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (309 * (-10))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 309, \"c\": -10}", "seed": "16832856437508802468", "semantic_fingerprint": "sha256:910d478cdbedad7df71f42291a5455c31474748d3332e978b0dab74cd3650b00", "generator_version": "3.0"}
{"id": "v3_val_00001374", "prompt": "What is 8 + 919 + 24 + (-1) + 66 * (-6)?", "solution_steps": ["Add: 8 + 919 = 927", "Add: 927 + 24 = 951", "Add: 951 + (-1) = 950", "Multiply: 66 * (-6) = -396", "Add: 950 + (-396) = 554"], "final_answer": "554", "answer_type": "integer", "kind": "expression", "math_text": "8 + 919 + 24 + (-1) + 66 * (-6)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ (+ n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 919, \"c\": 24, \"d\": -1, \"e\": 66, \"f\": -6}", "seed": "1003740485448026209", "semantic_fingerprint": "sha256:91edf31cf32940d164de8add0b76c384d36162c9982c8f14f10fe817812d4a89", "generator_version": "3.0"}
{"id": "v3_val_00001375", "prompt": "Solve for x: 3(x - 34) + 6 = x", "solution_steps": ["Expand: 3x - 102 + 6 = x", "Combine constants: 3x - 96 = x", "Subtract x from both sides: 2x - 96 = 0", "Add 96 to both sides: 2x = 96", "Divide both sides by 2: x = 48"], "final_answer": "48", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 34) + 6 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 34, \"c\": 6}", "seed": "12019771088861306951", "semantic_fingerprint": "sha256:9471496c0fa3160da15968c5010c613dcf024ecacc3d40a8336b13890df886b3", "generator_version": "3.0"}
{"id": "v3_val_00001376", "prompt": "Calculate: (-3 - 69) / (-6) - 0", "solution_steps": ["Subtract: -3 - 69 = -72", "Divide: -72 / (-6) = 12", "Subtract: 12 - 0 = 12"], "final_answer": "12", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - 69) / (-6) - 0", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 69, \"c\": -6, \"d\": 0}", "seed": "10853790709011928212", "semantic_fingerprint": "sha256:fa70a747cb191f331b7fc2c85a64a1429ab53bf136aec8cd10ad7ddf25f0dbe7", "generator_version": "3.0"}
{"id": "v3_val_00001377", "prompt": "What value of x satisfies x + 650 = 3(x + 8) + 654?", "solution_steps": ["Expand: x + 650 = 3x + 24 + 654", "Combine constants: x + 650 = 3x + 678", "Subtract 3x from both sides: -2x + 650 = 678", "Subtract 650 from both sides: -2x = 28", "Divide both sides by -2: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 650 = 3(x + 8) + 654", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 650, \"b\": 3, \"c\": 8, \"e\": 654, \"x\": -14}", "seed": "1808665515400059717", "semantic_fingerprint": "sha256:01b1a959eab4ff42f85e6f4f03f555fffcf555c6de4e58a3b127c94d767411fe", "generator_version": "3.0"}
{"id": "v3_val_00001378", "prompt": "Solve the equation 6(x + 4) = x - 36 for x.", "solution_steps": ["Expand: 6x + 24 = x - 36", "Subtract x from both sides: 5x + 24 = -36", "Subtract 24 from both sides: 5x = -60", "Divide both sides by 5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 4) = x - 36", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"d\": -36, \"x\": -12}", "seed": "11522804576670520581", "semantic_fingerprint": "sha256:ac8ead5ddd2c0c5cf35648b366c0605691efb16b87d105e08841826481c5107e", "generator_version": "3.0"}
{"id": "v3_val_00001379", "prompt": "Evaluate: (97 / (-13) - (-736 - (-54))) / (-881 + (-538))", "solution_steps": ["Divide: 97 / (-13) = -97/13", "Subtract: -736 - (-54) = -682", "Subtract: -97/13 - (-682) = 8769/13", "Add: -881 + (-538) = -1419", "Divide: (8769/13) / (-1419) = -2923/6149"], "final_answer": "-2923/6149", "answer_type": "rational", "kind": "expression", "math_text": "(97 / (-13) - (-736 - (-54))) / (-881 + (-538))", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -13, \"c\": -736, \"d\": -54, \"e\": -881, \"f\": -538}", "seed": "17010057433026804077", "semantic_fingerprint": "sha256:e903158fb4455f7b8534135c0739ecaeb1a1d1cfa505dd0edd0be8bef5420fe8", "generator_version": "3.0"}
{"id": "v3_val_00001380", "prompt": "Solve for x: x + 493 = 7(x + 88)", "solution_steps": ["Expand: x + 493 = 7x + 616", "Subtract 7x from both sides: -6x + 493 = 616", "Subtract 493 from both sides: -6x = 123", "Divide both sides by -6: x = -41/2"], "final_answer": "-41/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 493 = 7(x + 88)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 493, \"b\": 7, \"c\": 88}", "seed": "15852419678585429027", "semantic_fingerprint": "sha256:274a5b115122cb7f9d8180d6ba633808f1057437ca3a4c58da45f9d7e3629cd2", "generator_version": "3.0"}
{"id": "v3_val_00001381", "prompt": "Evaluate: 80 + (-965 - 812)", "solution_steps": ["Subtract: -965 - 812 = -1777", "Add: 80 + (-1777) = -1697"], "final_answer": "-1697", "answer_type": "integer", "kind": "expression", "math_text": "80 + (-965 - 812)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -965, \"c\": 812}", "seed": "16274165325486663399", "semantic_fingerprint": "sha256:f1cf7e25c6d3717eb61d5c70af2f5895620e89d7cf12ff11f2681b33d846cb96", "generator_version": "3.0"}
{"id": "v3_val_00001382", "prompt": "What is 1 * (-3)?", "solution_steps": ["Multiply: 1 * (-3) = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-3)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -3}", "seed": "17752037553969060433", "semantic_fingerprint": "sha256:09c4b7a4b4588128c971e752d8274c249fa7a17e416302399482925721d91f9d", "generator_version": "3.0"}
{"id": "v3_val_00001383", "prompt": "Compute: (-493 - (-3)) / (-8 - (-167) / 568) + 81", "solution_steps": ["Subtract: -493 - (-3) = -490", "Divide: -167 / 568 = -167/568", "Subtract: -8 - (-167/568) = -4377/568", "Divide: -490 / (-4377/568) = 278320/4377", "Add: 278320/4377 + 81 = 632857/4377"], "final_answer": "632857/4377", "answer_type": "rational", "kind": "expression", "math_text": "(-493 - (-3)) / (-8 - (-167) / 568) + 81", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) (- n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -493, \"b\": -3, \"c\": -8, \"d\": -167, \"e\": 568, \"f\": 81}", "seed": "1295686203714467422", "semantic_fingerprint": "sha256:5c0465429948b88192857651ddfdbf39a02223b21c777107f5e552eea9a0858b", "generator_version": "3.0"}
{"id": "v3_val_00001384", "prompt": "Evaluate: -9 * ((-369 - (-3 - 97 * 25)) / 7)", "solution_steps": ["Multiply: 97 * 25 = 2425", "Subtract: -3 - 2425 = -2428", "Subtract: -369 - (-2428) = 2059", "Divide: 2059 / 7 = 2059/7", "Multiply: -9 * (2059/7) = -18531/7"], "final_answer": "-18531/7", "answer_type": "rational", "kind": "expression", "math_text": "-9 * ((-369 - (-3 - 97 * 25)) / 7)", "variable": null, "family": "expression_5op", "shape": "(* n (/ (- n (- n (* n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -369, \"c\": -3, \"d\": 97, \"e\": 25, \"f\": 7}", "seed": "18414447278250833590", "semantic_fingerprint": "sha256:3da0507fd96d616da1a97749d4b1e03d49f0759892c7bfc3f95aa0e21e54fddd", "generator_version": "3.0"}
{"id": "v3_val_00001385", "prompt": "Solve for x: -4(x - 91) - 54 = 8x + 490", "solution_steps": ["Expand: -4x + 364 - 54 = 8x + 490", "Combine constants: -4x + 310 = 8x + 490", "Subtract 8x from both sides: -12x + 310 = 490", "Subtract 310 from both sides: -12x = 180", "Divide both sides by -12: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 91) - 54 = 8x + 490", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 91, \"c\": 54, \"d\": 8, \"f\": 490, \"x\": -15}", "seed": "8356013124819481444", "semantic_fingerprint": "sha256:297aa9205398f74c40de258ef2510d634abc7e3d3edbddd3f306b84c6a131866", "generator_version": "3.0"}
{"id": "v3_val_00001386", "prompt": "Evaluate: -89 * (-86 / (-2)) - 49", "solution_steps": ["Divide: -86 / (-2) = 43", "Multiply: -89 * 43 = -3827", "Subtract: -3827 - 49 = -3876"], "final_answer": "-3876", "answer_type": "integer", "kind": "expression", "math_text": "-89 * (-86 / (-2)) - 49", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -86, \"c\": -2, \"d\": 49}", "seed": "8440898752507271537", "semantic_fingerprint": "sha256:9bacbda53c6d77248d8f4f31dd7ab9f41b6e0766a40bb3c53e7edfc08d2df864", "generator_version": "3.0"}
{"id": "v3_val_00001387", "prompt": "Evaluate: 3 + (-859) - (-47)", "solution_steps": ["Add: 3 + (-859) = -856", "Subtract: -856 - (-47) = -809"], "final_answer": "-809", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-859) - (-47)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -859, \"c\": -47}", "seed": "17036222703640077234", "semantic_fingerprint": "sha256:b88389af69dc8199e77966cfa111ddff4e7699d806b7fb7344a7c852be95f7ab", "generator_version": "3.0"}
{"id": "v3_val_00001388", "prompt": "Evaluate: -50 / 3", "solution_steps": ["Divide: -50 / 3 = -50/3"], "final_answer": "-50/3", "answer_type": "rational", "kind": "expression", "math_text": "-50 / 3", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 3}", "seed": "719809639507824541", "semantic_fingerprint": "sha256:9e21e7add04ad2726139cbfbbe448f82328ad3bdbe00bd85ba184586d036743c", "generator_version": "3.0"}
{"id": "v3_val_00001389", "prompt": "What value of x satisfies -8x - 15 = x - 132?", "solution_steps": ["Subtract x from both sides: -9x - 15 = -132", "Add 15 to both sides: -9x = -117", "Divide both sides by -9: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 15 = x - 132", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 15, \"d\": -132, \"x\": 13}", "seed": "8294845435644358837", "semantic_fingerprint": "sha256:8f0f4a0e2a4909c48da4f672208988393e298f7a2d8eecd9f0ead99d18052b48", "generator_version": "3.0"}
{"id": "v3_val_00001390", "prompt": "Solve for x: 5x = 10(x - 88) + 840", "solution_steps": ["Expand: 5x = 10x - 880 + 840", "Combine constants: 5x = 10x - 40", "Subtract 10x from both sides: -5x = -40", "Divide both sides by -5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 10(x - 88) + 840", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 10, \"c\": 88, \"e\": 840, \"x\": 8}", "seed": "11457342332241497349", "semantic_fingerprint": "sha256:ec22d6e66605ffcdf94ef3e03fa6b9f2a2ea5b9c45dd21d569761257e88d43d7", "generator_version": "3.0"}
{"id": "v3_val_00001391", "prompt": "Solve the equation 11x - 479 = 4x for x.", "solution_steps": ["Subtract 4x from both sides: 7x - 479 = 0", "Add 479 to both sides: 7x = 479", "Divide both sides by 7: x = 479/7"], "final_answer": "479/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 479 = 4x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 479, \"c\": 4}", "seed": "17508722426525861905", "semantic_fingerprint": "sha256:8ee29c4d93ca86ee8e996b63e0b631025e4dae0792c311da9f3b62b776100fa8", "generator_version": "3.0"}
{"id": "v3_val_00001392", "prompt": "Find x: -10(x + 16) = 7x - 398", "solution_steps": ["Expand: -10x - 160 = 7x - 398", "Subtract 7x from both sides: -17x - 160 = -398", "Add 160 to both sides: -17x = -238", "Divide both sides by -17: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 16) = 7x - 398", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 16, \"c\": 7, \"e\": -398, \"x\": 14}", "seed": "572305931686401641", "semantic_fingerprint": "sha256:8e9b795ca1ebd7809c6642aa44161d1a9c8c703d6c24c4f8918b679a246ca7cf", "generator_version": "3.0"}
{"id": "v3_val_00001393", "prompt": "Compute: -1 * (-10)", "solution_steps": ["Multiply: -1 * (-10) = 10"], "final_answer": "10", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-10)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -10}", "seed": "12037242846076310368", "semantic_fingerprint": "sha256:83d2f8a2c45c332325276a7b80fddc8a49dc163eb199d03a0fba1b82b1afda6e", "generator_version": "3.0"}
{"id": "v3_val_00001394", "prompt": "Find x: 11x - 8 = x", "solution_steps": ["Subtract x from both sides: 10x - 8 = 0", "Add 8 to both sides: 10x = 8", "Divide both sides by 10: x = 4/5"], "final_answer": "4/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 8 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8}", "seed": "7927870285303155978", "semantic_fingerprint": "sha256:11d679be8f5631a854c07641cab51174095b22d431dd8a29be9053ab31e64a23", "generator_version": "3.0"}
{"id": "v3_val_00001395", "prompt": "Find x: 11(x - 449) - 9 = -10x + 5", "solution_steps": ["Expand: 11x - 4939 - 9 = -10x + 5", "Combine constants: 11x - 4948 = -10x + 5", "Add 10x to both sides: 21x - 4948 = 5", "Add 4948 to both sides: 21x = 4953", "Divide both sides by 21: x = 1651/7"], "final_answer": "1651/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 449) - 9 = -10x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 449, \"c\": 9, \"d\": -10, \"e\": 5}", "seed": "18188201540186066761", "semantic_fingerprint": "sha256:b52618344a94561df5c34478ba02ded5872fd829cd7f5e275528939ec6c9b47e", "generator_version": "3.0"}
{"id": "v3_val_00001396", "prompt": "Solve the equation x - 3 = -298 for x.", "solution_steps": ["Add 3 to both sides: x = -295"], "final_answer": "-295", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = -298", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -298}", "seed": "15149745891315907037", "semantic_fingerprint": "sha256:719acfcbd5e0920531eba0bf50097bb9203bfbed82a1a2742ecb5059872cb69f", "generator_version": "3.0"}
{"id": "v3_val_00001397", "prompt": "What is -9 / (-34 - (-17)) - (-628) * (-4)?", "solution_steps": ["Subtract: -34 - (-17) = -17", "Divide: -9 / (-17) = 9/17", "Multiply: -628 * (-4) = 2512", "Subtract: 9/17 - 2512 = -42695/17"], "final_answer": "-42695/17", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-34 - (-17)) - (-628) * (-4)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -34, \"c\": -17, \"d\": -628, \"e\": -4}", "seed": "13801155209561567142", "semantic_fingerprint": "sha256:bf2f2bcd8e26897e93a4eb6a6a0d850007ac73c5d7d0767bc45e1f746f2771cb", "generator_version": "3.0"}
{"id": "v3_val_00001398", "prompt": "Calculate: (-8 * (-789) + 6) / (2 / 26)", "solution_steps": ["Multiply: -8 * (-789) = 6312", "Add: 6312 + 6 = 6318", "Divide: 2 / 26 = 1/13", "Divide: 6318 / (1/13) = 82134"], "final_answer": "82134", "answer_type": "integer", "kind": "expression", "math_text": "(-8 * (-789) + 6) / (2 / 26)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -789, \"c\": 6, \"d\": 2, \"e\": 26}", "seed": "2868297944221570185", "semantic_fingerprint": "sha256:53ade47f5286eb961fdedf9a5d067791055e7f7c2e7b528f3775145fd525fc36", "generator_version": "3.0"}
{"id": "v3_val_00001399", "prompt": "Evaluate: 48 / ((-99 - (-1)) * 0 + (-319 + (-95)))", "solution_steps": ["Subtract: -99 - (-1) = -98", "Multiply: -98 * 0 = 0", "Add: -319 + (-95) = -414", "Add: 0 + (-414) = -414", "Divide: 48 / (-414) = -8/69"], "final_answer": "-8/69", "answer_type": "rational", "kind": "expression", "math_text": "48 / ((-99 - (-1)) * 0 + (-319 + (-95)))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (* (- n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -99, \"c\": -1, \"d\": 0, \"e\": -319, \"f\": -95}", "seed": "3001256136648324617", "semantic_fingerprint": "sha256:99bfd5e3fd71da41e2d3469c3784cac9eee8dee116e7b7c3bb05c0c7d2072391", "generator_version": "3.0"}
{"id": "v3_val_00001400", "prompt": "What is 10 - (-99)?", "solution_steps": ["Subtract: 10 - (-99) = 109"], "final_answer": "109", "answer_type": "integer", "kind": "expression", "math_text": "10 - (-99)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -99}", "seed": "10960622601231458647", "semantic_fingerprint": "sha256:113c92cbe992cdb95645b8f8a27e06037f99007be134a13b7378b44c85139429", "generator_version": "3.0"}
{"id": "v3_val_00001401", "prompt": "Solve for x: 2(x - 65) = 83", "solution_steps": ["Expand: 2x - 130 = 83", "Add 130 to both sides: 2x = 213", "Divide both sides by 2: x = 213/2"], "final_answer": "213/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 65) = 83", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 65, \"c\": 83}", "seed": "14956821437320731581", "semantic_fingerprint": "sha256:27ce00641961571308684a04ea8536323373a9dccb71a5149a2c436010ab0eec", "generator_version": "3.0"}
{"id": "v3_val_00001402", "prompt": "Evaluate: (9 * (9 / 8) - (-9)) * (-387)", "solution_steps": ["Divide: 9 / 8 = 9/8", "Multiply: 9 * (9/8) = 81/8", "Subtract: 81/8 - (-9) = 153/8", "Multiply: (153/8) * (-387) = -59211/8"], "final_answer": "-59211/8", "answer_type": "rational", "kind": "expression", "math_text": "(9 * (9 / 8) - (-9)) * (-387)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 8, \"d\": -9, \"e\": -387}", "seed": "9471046929536783662", "semantic_fingerprint": "sha256:cae38f22c6ec954bcc65f5c8c763b59bf68e22ea5f9ad2aaef4c0c574e1c40b0", "generator_version": "3.0"}
{"id": "v3_val_00001403", "prompt": "What is 67 / 9 + 80?", "solution_steps": ["Divide: 67 / 9 = 67/9", "Add: 67/9 + 80 = 787/9"], "final_answer": "787/9", "answer_type": "rational", "kind": "expression", "math_text": "67 / 9 + 80", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 9, \"c\": 80}", "seed": "14441870858995195458", "semantic_fingerprint": "sha256:c68bc16119d4737401ed40cdfffda897a0845a6b4fa4b25ebd09bf16993fc035", "generator_version": "3.0"}
{"id": "v3_val_00001404", "prompt": "Evaluate: -6 * (-468)", "solution_steps": ["Multiply: -6 * (-468) = 2808"], "final_answer": "2808", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-468)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -468}", "seed": "18176548796669693519", "semantic_fingerprint": "sha256:040c33b3958e6d9e6c8736072ed354291813f1aff72beb0cb61a7c829d331bac", "generator_version": "3.0"}
{"id": "v3_val_00001405", "prompt": "Calculate: -37 - (-7 + 87) * 4", "solution_steps": ["Add: -7 + 87 = 80", "Multiply: 80 * 4 = 320", "Subtract: -37 - 320 = -357"], "final_answer": "-357", "answer_type": "integer", "kind": "expression", "math_text": "-37 - (-7 + 87) * 4", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -7, \"c\": 87, \"d\": 4}", "seed": "9478601446214393809", "semantic_fingerprint": "sha256:4e3c0f4a7431d821c7dbe449719e372018a365128accb2a09eba7d9b1a82e956", "generator_version": "3.0"}
{"id": "v3_val_00001406", "prompt": "Solve for x: -7x - 79 = -6(x - 3) - 77", "solution_steps": ["Expand: -7x - 79 = -6x + 18 - 77", "Combine constants: -7x - 79 = -6x - 59", "Add 6x to both sides: -x - 79 = -59", "Add 79 to both sides: -x = 20", "Divide both sides by -1: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 79 = -6(x - 3) - 77", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 79, \"c\": -6, \"d\": 3, \"f\": -77, \"x\": -20}", "seed": "5218888154905190556", "semantic_fingerprint": "sha256:1a4822626a1f0c2cc6ea4caa4cb6214632c792359c15bc047067a9573e98cf6c", "generator_version": "3.0"}
{"id": "v3_val_00001407", "prompt": "Evaluate: (3 + 5) * (-777 / 456) - (-7)", "solution_steps": ["Add: 3 + 5 = 8", "Divide: -777 / 456 = -259/152", "Multiply: 8 * (-259/152) = -259/19", "Subtract: -259/19 - (-7) = -126/19"], "final_answer": "-126/19", "answer_type": "rational", "kind": "expression", "math_text": "(3 + 5) * (-777 / 456) - (-7)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": -777, \"d\": 456, \"e\": -7}", "seed": "6981843054111441492", "semantic_fingerprint": "sha256:cdf6fb7f778ca68303786419c3a690a4a5eaecb7f698451ceaf959c04cd96c9c", "generator_version": "3.0"}
{"id": "v3_val_00001408", "prompt": "Calculate: 120 / (-20 + (4 + (-30)))", "solution_steps": ["Add: 4 + (-30) = -26", "Add: -20 + (-26) = -46", "Divide: 120 / (-46) = -60/23"], "final_answer": "-60/23", "answer_type": "rational", "kind": "expression", "math_text": "120 / (-20 + (4 + (-30)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 120, \"b\": -20, \"c\": 4, \"d\": -30}", "seed": "8829679899424718003", "semantic_fingerprint": "sha256:7b051cd831df5a6c8df6801cd7fbf4e765d360f7d0dd73d31e17be14fc201d1f", "generator_version": "3.0"}
{"id": "v3_val_00001409", "prompt": "Find x: 9(x + 5) - 9 = 72", "solution_steps": ["Expand: 9x + 45 - 9 = 72", "Combine constants: 9x + 36 = 72", "Subtract 36 from both sides: 9x = 36", "Divide both sides by 9: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) - 9 = 72", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 9, \"e\": 72, \"x\": 4}", "seed": "11203838939187604247", "semantic_fingerprint": "sha256:d1752457e3d236a6a77b34ae371d242c78f407d57c0be164b314a61b1760e650", "generator_version": "3.0"}
{"id": "v3_val_00001410", "prompt": "What is -1 / (-18 + 812) * (-69) - (-18 - 717)?", "solution_steps": ["Add: -18 + 812 = 794", "Divide: -1 / 794 = -1/794", "Multiply: (-1/794) * (-69) = 69/794", "Subtract: -18 - 717 = -735", "Subtract: 69/794 - (-735) = 583659/794"], "final_answer": "583659/794", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-18 + 812) * (-69) - (-18 - 717)", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n (+ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -18, \"c\": 812, \"d\": -69, \"e\": -18, \"f\": 717}", "seed": "711209706246490922", "semantic_fingerprint": "sha256:8fb177581249dd9449458716835da07e5bfabf5fc48becbb2a7a996a42515923", "generator_version": "3.0"}
{"id": "v3_val_00001411", "prompt": "Find x: 3x = 48", "solution_steps": ["Divide both sides by 3: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 48", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": 48, \"x\": 16}", "seed": "2748578321224524787", "semantic_fingerprint": "sha256:1ca704b239d49be8197af89560271ff3b4f3a54a34c23d5bedea6772bdae7540", "generator_version": "3.0"}
{"id": "v3_val_00001412", "prompt": "Calculate: (-71 + 45 / (-16)) / (-77)", "solution_steps": ["Divide: 45 / (-16) = -45/16", "Add: -71 + (-45/16) = -1181/16", "Divide: (-1181/16) / (-77) = 1181/1232"], "final_answer": "1181/1232", "answer_type": "rational", "kind": "expression", "math_text": "(-71 + 45 / (-16)) / (-77)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 45, \"c\": -16, \"d\": -77}", "seed": "18417045693478119755", "semantic_fingerprint": "sha256:61c35c3a995983180de0e2824fa095d703144d1fbf43bd58ca74ea793bd46e32", "generator_version": "3.0"}
{"id": "v3_val_00001413", "prompt": "Compute: (-8 - (-1)) / 93", "solution_steps": ["Subtract: -8 - (-1) = -7", "Divide: -7 / 93 = -7/93"], "final_answer": "-7/93", "answer_type": "rational", "kind": "expression", "math_text": "(-8 - (-1)) / 93", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -1, \"c\": 93}", "seed": "8615686214591003823", "semantic_fingerprint": "sha256:8d6313a82cb4e3ca12cf1f80ca49c3c956cf8641235f08d0b1620745e7ec99fd", "generator_version": "3.0"}
{"id": "v3_val_00001414", "prompt": "Evaluate: -20 * (-697 - (-642))", "solution_steps": ["Subtract: -697 - (-642) = -55", "Multiply: -20 * (-55) = 1100"], "final_answer": "1100", "answer_type": "integer", "kind": "expression", "math_text": "-20 * (-697 - (-642))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -697, \"c\": -642}", "seed": "7065626993467150993", "semantic_fingerprint": "sha256:7a502f34c26bc94928b4617bf86405996882c52fc551d03c7deeb59cab4d453c", "generator_version": "3.0"}
{"id": "v3_val_00001415", "prompt": "Find x: 12(x - 8) - 280 = 2x + 7", "solution_steps": ["Expand: 12x - 96 - 280 = 2x + 7", "Combine constants: 12x - 376 = 2x + 7", "Subtract 2x from both sides: 10x - 376 = 7", "Add 376 to both sides: 10x = 383", "Divide both sides by 10: x = 383/10"], "final_answer": "383/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 8) - 280 = 2x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 280, \"d\": 2, \"e\": 7}", "seed": "8531186594919782403", "semantic_fingerprint": "sha256:228ead3b52d306dd2233167d54c043574771bc9eefb713a10ead9b7ff9ca4382", "generator_version": "3.0"}
{"id": "v3_val_00001416", "prompt": "Calculate: -149 / (-9)", "solution_steps": ["Divide: -149 / (-9) = 149/9"], "final_answer": "149/9", "answer_type": "rational", "kind": "expression", "math_text": "-149 / (-9)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -149, \"b\": -9}", "seed": "11970591783552567166", "semantic_fingerprint": "sha256:29fdc798440f95d052aaeeb701917c8e9ef6b4ae8440a3c06b8abbfad8523abc", "generator_version": "3.0"}
{"id": "v3_val_00001417", "prompt": "What is 483 - (-38) * 58?", "solution_steps": ["Multiply: -38 * 58 = -2204", "Subtract: 483 - (-2204) = 2687"], "final_answer": "2687", "answer_type": "integer", "kind": "expression", "math_text": "483 - (-38) * 58", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 483, \"b\": -38, \"c\": 58}", "seed": "16126993074979635665", "semantic_fingerprint": "sha256:df8ed8ea7fa7dfcfa35161232ad4d51c01113b3f907c5a27529e1f1a590f10f6", "generator_version": "3.0"}
{"id": "v3_val_00001418", "prompt": "Compute: -48 + 32 / 6 / (-54 - 0)", "solution_steps": ["Divide: 32 / 6 = 16/3", "Subtract: -54 - 0 = -54", "Divide: (16/3) / (-54) = -8/81", "Add: -48 + (-8/81) = -3896/81"], "final_answer": "-3896/81", "answer_type": "rational", "kind": "expression", "math_text": "-48 + 32 / 6 / (-54 - 0)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 32, \"c\": 6, \"d\": -54, \"e\": 0}", "seed": "17567252874554205325", "semantic_fingerprint": "sha256:f9d28bf285d16555c6b1c5c9796939950fae4c68c719eca24884ab7cd0d52074", "generator_version": "3.0"}
{"id": "v3_val_00001419", "prompt": "Calculate: -87 - (-90) + (-500)", "solution_steps": ["Subtract: -87 - (-90) = 3", "Add: 3 + (-500) = -497"], "final_answer": "-497", "answer_type": "integer", "kind": "expression", "math_text": "-87 - (-90) + (-500)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": -90, \"c\": -500}", "seed": "6741695412325838802", "semantic_fingerprint": "sha256:73552b4ffa86aea4c869ad45f80844ebf2c7aca8dca8ecb3a95fdb46535c3a1d", "generator_version": "3.0"}
{"id": "v3_val_00001420", "prompt": "Calculate: -68 * 84 / (43 + (3 - 6))", "solution_steps": ["Multiply: -68 * 84 = -5712", "Subtract: 3 - 6 = -3", "Add: 43 + (-3) = 40", "Divide: -5712 / 40 = -714/5"], "final_answer": "-714/5", "answer_type": "rational", "kind": "expression", "math_text": "-68 * 84 / (43 + (3 - 6))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 84, \"c\": 43, \"d\": 3, \"e\": 6}", "seed": "9913899521560523438", "semantic_fingerprint": "sha256:fe8b418eb7c7b7f096598feb4f5cceed9b06e446c599ea463a274abd62f16ffb", "generator_version": "3.0"}
{"id": "v3_val_00001421", "prompt": "Compute: (-92 + (-155)) * (-69 - 7) * (9 / (-59))", "solution_steps": ["Add: -92 + (-155) = -247", "Subtract: -69 - 7 = -76", "Multiply: -247 * (-76) = 18772", "Divide: 9 / (-59) = -9/59", "Multiply: 18772 * (-9/59) = -168948/59"], "final_answer": "-168948/59", "answer_type": "rational", "kind": "expression", "math_text": "(-92 + (-155)) * (-69 - 7) * (9 / (-59))", "variable": null, "family": "expression_5op", "shape": "(* (* (+ n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -155, \"c\": -69, \"d\": 7, \"e\": 9, \"f\": -59}", "seed": "8033694198576836302", "semantic_fingerprint": "sha256:c558fca585fe9f9337a279c354bfe6a756771e1867fde43ac49c626fe93b9135", "generator_version": "3.0"}
{"id": "v3_val_00001422", "prompt": "Calculate: 29 - (465 - 7 / (-3)) - (-76) * 69", "solution_steps": ["Divide: 7 / (-3) = -7/3", "Subtract: 465 - (-7/3) = 1402/3", "Subtract: 29 - 1402/3 = -1315/3", "Multiply: -76 * 69 = -5244", "Subtract: -1315/3 - (-5244) = 14417/3"], "final_answer": "14417/3", "answer_type": "rational", "kind": "expression", "math_text": "29 - (465 - 7 / (-3)) - (-76) * 69", "variable": null, "family": "expression_5op", "shape": "(- (- n (- n (/ n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 465, \"c\": 7, \"d\": -3, \"e\": -76, \"f\": 69}", "seed": "13383050841913155515", "semantic_fingerprint": "sha256:aff2009da6b9e2762cd30d903a1c185114c430e46fcbe6b84b429db8fecb73f9", "generator_version": "3.0"}
{"id": "v3_val_00001423", "prompt": "Evaluate: 63 - (-11) / (-24)", "solution_steps": ["Divide: -11 / (-24) = 11/24", "Subtract: 63 - 11/24 = 1501/24"], "final_answer": "1501/24", "answer_type": "rational", "kind": "expression", "math_text": "63 - (-11) / (-24)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -11, \"c\": -24}", "seed": "6885032250217238845", "semantic_fingerprint": "sha256:add9b58ab38ae633a3a2f63534226689efb5a0099808c1d044a6b5f0fc138d34", "generator_version": "3.0"}
{"id": "v3_val_00001424", "prompt": "Solve the equation 11(x - 812) = 3(x - 480) for x.", "solution_steps": ["Expand: 11x - 8932 = 3(x - 480)", "Expand: 11x - 8932 = 3x - 1440", "Subtract 3x from both sides: 8x - 8932 = -1440", "Add 8932 to both sides: 8x = 7492", "Divide both sides by 8: x = 1873/2"], "final_answer": "1873/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 812) = 3(x - 480)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 812, \"c\": 3, \"d\": 480}", "seed": "13585304557388048995", "semantic_fingerprint": "sha256:8a4abeb0ffde8ca54777d7215d15fae900bc575db62d75bfffc1e15bd6d28593", "generator_version": "3.0"}
{"id": "v3_val_00001425", "prompt": "Evaluate: 92 + (-70) * (-9)", "solution_steps": ["Multiply: -70 * (-9) = 630", "Add: 92 + 630 = 722"], "final_answer": "722", "answer_type": "integer", "kind": "expression", "math_text": "92 + (-70) * (-9)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -70, \"c\": -9}", "seed": "7312233334323761804", "semantic_fingerprint": "sha256:d4115a0a692360bafba42dae276649b3f52b35a6b19ecce0c065d09de28c535b", "generator_version": "3.0"}
{"id": "v3_val_00001426", "prompt": "Find x: -5(x - 2) = 8x", "solution_steps": ["Expand: -5x + 10 = 8x", "Subtract 8x from both sides: -13x + 10 = 0", "Subtract 10 from both sides: -13x = -10", "Divide both sides by -13: x = 10/13"], "final_answer": "10/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 2) = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 8}", "seed": "16651185263609847818", "semantic_fingerprint": "sha256:8a043fdb38aa13212425a49dfd497f0655abb9dcb4801c450b6db8fdf53af89d", "generator_version": "3.0"}
{"id": "v3_val_00001427", "prompt": "Find x: -9(x + 71) = 3(x + 62) + 79", "solution_steps": ["Expand: -9x - 639 = 3(x + 62) + 79", "Expand: -9x - 639 = 3x + 186 + 79", "Combine constants: -9x - 639 = 3x + 265", "Subtract 3x from both sides: -12x - 639 = 265", "Add 639 to both sides: -12x = 904", "Divide both sides by -12: x = -226/3"], "final_answer": "-226/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 71) = 3(x + 62) + 79", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 71, \"c\": 3, \"d\": 62, \"e\": 79}", "seed": "1517033149635185304", "semantic_fingerprint": "sha256:eb2118adc8da75fd500f60e22deb73efe82f9fd0a3788d47cb0acf6c03d1f2e8", "generator_version": "3.0"}
{"id": "v3_val_00001428", "prompt": "What value of x satisfies x = 7(x + 463)?", "solution_steps": ["Expand: x = 7x + 3241", "Subtract 7x from both sides: -6x = 3241", "Divide both sides by -6: x = -3241/6"], "final_answer": "-3241/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x + 463)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 463}", "seed": "65320738215305778", "semantic_fingerprint": "sha256:d885088439fb9da6d6973a1394c975dfdd76fefcb3083c6acad37d7f7cdc28dc", "generator_version": "3.0"}
{"id": "v3_val_00001429", "prompt": "Solve for x: 7x + 17 = 5(x + 5)", "solution_steps": ["Expand: 7x + 17 = 5x + 25", "Subtract 5x from both sides: 2x + 17 = 25", "Subtract 17 from both sides: 2x = 8", "Divide both sides by 2: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 17 = 5(x + 5)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 5, \"e\": 17, \"x\": 4}", "seed": "2025631807562535932", "semantic_fingerprint": "sha256:e3f184b8b65ce00eee494e2d287c2a146e5802bfaace6b83c5ac92bd8ba56add", "generator_version": "3.0"}
{"id": "v3_val_00001430", "prompt": "What is 8 / (-97 * (-4))?", "solution_steps": ["Multiply: -97 * (-4) = 388", "Divide: 8 / 388 = 2/97"], "final_answer": "2/97", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-97 * (-4))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -97, \"c\": -4}", "seed": "9223337562394944713", "semantic_fingerprint": "sha256:e3d38671bc2034769464e196fb8d240370576409ae5cf20429f8b732d2d77f65", "generator_version": "3.0"}
{"id": "v3_val_00001431", "prompt": "What value of x satisfies 4(x + 169) = 3x + 679?", "solution_steps": ["Expand: 4x + 676 = 3x + 679", "Subtract 3x from both sides: x + 676 = 679", "Subtract 676 from both sides: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 169) = 3x + 679", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 169, \"c\": 3, \"e\": 679, \"x\": 3}", "seed": "4769745580185116978", "semantic_fingerprint": "sha256:193fea3a1d47f6231afbaebf4465f9fae5fca999e8a375481ffba8bb98ae50bd", "generator_version": "3.0"}
{"id": "v3_val_00001432", "prompt": "What value of x satisfies 9(x - 587) + 5 = -6x?", "solution_steps": ["Expand: 9x - 5283 + 5 = -6x", "Combine constants: 9x - 5278 = -6x", "Add 6x to both sides: 15x - 5278 = 0", "Add 5278 to both sides: 15x = 5278", "Divide both sides by 15: x = 5278/15"], "final_answer": "5278/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 587) + 5 = -6x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 587, \"c\": 5, \"d\": -6}", "seed": "14723147404731321034", "semantic_fingerprint": "sha256:fa2504d97b76bccf277db8646c83ddbc726d967351f3676bb7d7347cf2af8a14", "generator_version": "3.0"}
{"id": "v3_val_00001433", "prompt": "Compute: 23 / 4 - (-61)", "solution_steps": ["Divide: 23 / 4 = 23/4", "Subtract: 23/4 - (-61) = 267/4"], "final_answer": "267/4", "answer_type": "rational", "kind": "expression", "math_text": "23 / 4 - (-61)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 4, \"c\": -61}", "seed": "13079897870236533163", "semantic_fingerprint": "sha256:7cbfa8727b4ffbdb6a9508dbaa134346bb082a893ef5641d6dc834506b4f6bde", "generator_version": "3.0"}
{"id": "v3_val_00001434", "prompt": "Compute: 391 * 16", "solution_steps": ["Multiply: 391 * 16 = 6256"], "final_answer": "6256", "answer_type": "integer", "kind": "expression", "math_text": "391 * 16", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 391, \"b\": 16}", "seed": "14833051583582258843", "semantic_fingerprint": "sha256:0604070f49d71858b5232689d01def48a031179d981e6c500608e2afe90fe0a4", "generator_version": "3.0"}
{"id": "v3_val_00001435", "prompt": "What value of x satisfies -3(x + 364) + 4 = -4(x - 555)?", "solution_steps": ["Expand: -3x - 1092 + 4 = -4(x - 555)", "Expand: -3x - 1092 + 4 = -4x + 2220", "Combine constants: -3x - 1088 = -4x + 2220", "Add 4x to both sides: x - 1088 = 2220", "Add 1088 to both sides: x = 3308"], "final_answer": "3308", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 364) + 4 = -4(x - 555)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 364, \"c\": 4, \"d\": -4, \"e\": 555}", "seed": "2534967738426275350", "semantic_fingerprint": "sha256:b9aa665f8a4e85836a8a30a242c44c6d7b1329c4b3b19911de80bef6ed640a0e", "generator_version": "3.0"}
{"id": "v3_val_00001436", "prompt": "What value of x satisfies -4(x + 30) - 891 = x?", "solution_steps": ["Expand: -4x - 120 - 891 = x", "Combine constants: -4x - 1011 = x", "Subtract x from both sides: -5x - 1011 = 0", "Add 1011 to both sides: -5x = 1011", "Divide both sides by -5: x = -1011/5"], "final_answer": "-1011/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 30) - 891 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 30, \"c\": 891}", "seed": "14270191622086407977", "semantic_fingerprint": "sha256:2acb16887f70996b4ee0cb0f770890d6058c0946e918277e07686b9bc6a402b1", "generator_version": "3.0"}
{"id": "v3_val_00001437", "prompt": "Compute: (9 - 8) * (734 / 654 + 63)", "solution_steps": ["Subtract: 9 - 8 = 1", "Divide: 734 / 654 = 367/327", "Add: 367/327 + 63 = 20968/327", "Multiply: 1 * (20968/327) = 20968/327"], "final_answer": "20968/327", "answer_type": "rational", "kind": "expression", "math_text": "(9 - 8) * (734 / 654 + 63)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 734, \"d\": 654, \"e\": 63}", "seed": "1209008814479027205", "semantic_fingerprint": "sha256:9f1e8eaa4d857f4e9d205b945c5b39fbe5fa75122aa5a5dea74dc16da62d4ae8", "generator_version": "3.0"}
{"id": "v3_val_00001438", "prompt": "Calculate: 515 - (-6 - 72) / (-31)", "solution_steps": ["Subtract: -6 - 72 = -78", "Divide: -78 / (-31) = 78/31", "Subtract: 515 - 78/31 = 15887/31"], "final_answer": "15887/31", "answer_type": "rational", "kind": "expression", "math_text": "515 - (-6 - 72) / (-31)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 515, \"b\": -6, \"c\": 72, \"d\": -31}", "seed": "2495507480712212762", "semantic_fingerprint": "sha256:79557d4e635097d33627174b5f5b616c170f400dd4c7b8ce23b0f6cfb040ce07", "generator_version": "3.0"}
{"id": "v3_val_00001439", "prompt": "What is -83 / (-34 + (-24))?", "solution_steps": ["Add: -34 + (-24) = -58", "Divide: -83 / (-58) = 83/58"], "final_answer": "83/58", "answer_type": "rational", "kind": "expression", "math_text": "-83 / (-34 + (-24))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -34, \"c\": -24}", "seed": "7404920028344913059", "semantic_fingerprint": "sha256:f6fa679fb546ae4389be122fbde6c9d87fa81ae1ec06d246feb36cc499325477", "generator_version": "3.0"}
{"id": "v3_val_00001440", "prompt": "What is -8 + (-2) + (-7 - (-525))?", "solution_steps": ["Add: -8 + (-2) = -10", "Subtract: -7 - (-525) = 518", "Add: -10 + 518 = 508"], "final_answer": "508", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-2) + (-7 - (-525))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -2, \"c\": -7, \"d\": -525}", "seed": "12039784300715365823", "semantic_fingerprint": "sha256:42c37e678459848a787a0361e9cd19dfdefab10e6217fa8fbc4f8f9a1101eb99", "generator_version": "3.0"}
{"id": "v3_val_00001441", "prompt": "What is -44 / (-278) + (727 - 6)?", "solution_steps": ["Divide: -44 / (-278) = 22/139", "Subtract: 727 - 6 = 721", "Add: 22/139 + 721 = 100241/139"], "final_answer": "100241/139", "answer_type": "rational", "kind": "expression", "math_text": "-44 / (-278) + (727 - 6)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -278, \"c\": 727, \"d\": 6}", "seed": "13517497206343191140", "semantic_fingerprint": "sha256:d0980a0abfb53085b24a47a742c2d16f0e1f2a1655a4e44ef12ae4c83036b12b", "generator_version": "3.0"}
{"id": "v3_val_00001442", "prompt": "Find x: -5(x + 533) - 120 = 7x - 20", "solution_steps": ["Expand: -5x - 2665 - 120 = 7x - 20", "Combine constants: -5x - 2785 = 7x - 20", "Subtract 7x from both sides: -12x - 2785 = -20", "Add 2785 to both sides: -12x = 2765", "Divide both sides by -12: x = -2765/12"], "final_answer": "-2765/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 533) - 120 = 7x - 20", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 533, \"c\": 120, \"d\": 7, \"e\": 20}", "seed": "16255650361774464766", "semantic_fingerprint": "sha256:934325488264a95ca20ff5ab2ad43274d5ff4c28970b59b814f705e90c26e505", "generator_version": "3.0"}
{"id": "v3_val_00001443", "prompt": "Find x: -8(x - 91) = x + 890", "solution_steps": ["Expand: -8x + 728 = x + 890", "Subtract x from both sides: -9x + 728 = 890", "Subtract 728 from both sides: -9x = 162", "Divide both sides by -9: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 91) = x + 890", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 91, \"d\": 890, \"x\": -18}", "seed": "2480876128311640349", "semantic_fingerprint": "sha256:7b7db889f8f29e5cec4c18132fd2d54c0a4e69d0751940086405c2865699cee4", "generator_version": "3.0"}
{"id": "v3_val_00001444", "prompt": "Evaluate: 378 + (-19) * 93", "solution_steps": ["Multiply: -19 * 93 = -1767", "Add: 378 + (-1767) = -1389"], "final_answer": "-1389", "answer_type": "integer", "kind": "expression", "math_text": "378 + (-19) * 93", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 378, \"b\": -19, \"c\": 93}", "seed": "917719144362682663", "semantic_fingerprint": "sha256:95a0e86c0b62b3a19676837d3a46a739c59d163b14f91fe7850825b6d11ec78a", "generator_version": "3.0"}
{"id": "v3_val_00001445", "prompt": "What value of x satisfies -2x = 12(x - 3) + 8?", "solution_steps": ["Expand: -2x = 12x - 36 + 8", "Combine constants: -2x = 12x - 28", "Subtract 12x from both sides: -14x = -28", "Divide both sides by -14: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 12(x - 3) + 8", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 12, \"c\": 3, \"d\": 8}", "seed": "17114355052730707471", "semantic_fingerprint": "sha256:a97a4f8fba0ddd917ef00093009970aa8ac059b4f0afc40ae789f2d125438a9b", "generator_version": "3.0"}
{"id": "v3_val_00001446", "prompt": "Compute: 58 * (-23) + 21 / (-8)", "solution_steps": ["Multiply: 58 * (-23) = -1334", "Divide: 21 / (-8) = -21/8", "Add: -1334 + (-21/8) = -10693/8"], "final_answer": "-10693/8", "answer_type": "rational", "kind": "expression", "math_text": "58 * (-23) + 21 / (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -23, \"c\": 21, \"d\": -8}", "seed": "2467090853007330663", "semantic_fingerprint": "sha256:a11efeddfa7030865cc3041a2687a76c49497f58274424dab4afbf06705a9742", "generator_version": "3.0"}
{"id": "v3_val_00001447", "prompt": "Evaluate: (-21 / 7 + (-16) / (-33)) * 57", "solution_steps": ["Divide: -21 / 7 = -3", "Divide: -16 / (-33) = 16/33", "Add: -3 + 16/33 = -83/33", "Multiply: (-83/33) * 57 = -1577/11"], "final_answer": "-1577/11", "answer_type": "rational", "kind": "expression", "math_text": "(-21 / 7 + (-16) / (-33)) * 57", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 7, \"c\": -16, \"d\": -33, \"e\": 57}", "seed": "14692623098248739305", "semantic_fingerprint": "sha256:bcef4274fffef56e022014b74a580847f66765720f17f0aa1ca70e383af54216", "generator_version": "3.0"}
{"id": "v3_val_00001448", "prompt": "Find x: -3(x - 84) + 99 = 2(x + 49) + 328", "solution_steps": ["Expand: -3x + 252 + 99 = 2(x + 49) + 328", "Expand: -3x + 252 + 99 = 2x + 98 + 328", "Combine constants: -3x + 351 = 2x + 98 + 328", "Combine constants: -3x + 351 = 2x + 426", "Subtract 2x from both sides: -5x + 351 = 426", "Subtract 351 from both sides: -5x = 75", "Divide both sides by -5: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 84) + 99 = 2(x + 49) + 328", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 84, \"c\": 99, \"d\": 2, \"e\": 49, \"g\": 328, \"x\": -15}", "seed": "17319210335749177162", "semantic_fingerprint": "sha256:3a935ef2bb3198201f9d1740fe301f1215496140f9774981952393c2318d85ec", "generator_version": "3.0"}
{"id": "v3_val_00001449", "prompt": "What is 96 - 8 * (-7) / 45?", "solution_steps": ["Multiply: 8 * (-7) = -56", "Divide: -56 / 45 = -56/45", "Subtract: 96 - (-56/45) = 4376/45"], "final_answer": "4376/45", "answer_type": "rational", "kind": "expression", "math_text": "96 - 8 * (-7) / 45", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 8, \"c\": -7, \"d\": 45}", "seed": "17732443891826771391", "semantic_fingerprint": "sha256:fd90655671972993dabaab42b39e91465f18ca6126be1bed1dcbdae5071e8744", "generator_version": "3.0"}
{"id": "v3_val_00001450", "prompt": "What is (5 - (-776)) / (-550)?", "solution_steps": ["Subtract: 5 - (-776) = 781", "Divide: 781 / (-550) = -71/50"], "final_answer": "-71/50", "answer_type": "rational", "kind": "expression", "math_text": "(5 - (-776)) / (-550)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -776, \"c\": -550}", "seed": "6148269662098539920", "semantic_fingerprint": "sha256:e1e41c0399ad2395bf26712dbf34d84f6cc4186c044f0a8aecd45aed85a475cf", "generator_version": "3.0"}
{"id": "v3_val_00001451", "prompt": "Compute: -6 - 8 - (-646) - 159", "solution_steps": ["Subtract: -6 - 8 = -14", "Subtract: -14 - (-646) = 632", "Subtract: 632 - 159 = 473"], "final_answer": "473", "answer_type": "integer", "kind": "expression", "math_text": "-6 - 8 - (-646) - 159", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 8, \"c\": -646, \"d\": 159}", "seed": "10771971721704543326", "semantic_fingerprint": "sha256:2ddba1b9f28db32e49d25b63fc0761e7af38393afed10bd109265bf8017ef0a7", "generator_version": "3.0"}
{"id": "v3_val_00001452", "prompt": "What is -520 - (-4 - (-333) + 92) + (-52 - 696)?", "solution_steps": ["Subtract: -4 - (-333) = 329", "Add: 329 + 92 = 421", "Subtract: -520 - 421 = -941", "Subtract: -52 - 696 = -748", "Add: -941 + (-748) = -1689"], "final_answer": "-1689", "answer_type": "integer", "kind": "expression", "math_text": "-520 - (-4 - (-333) + 92) + (-52 - 696)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ (- n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -520, \"b\": -4, \"c\": -333, \"d\": 92, \"e\": -52, \"f\": 696}", "seed": "13077622548183508430", "semantic_fingerprint": "sha256:07c44e3b76d61027169b5568902e3f9994df1fd5e49d6e1360cdd568d8d29dc9", "generator_version": "3.0"}
{"id": "v3_val_00001453", "prompt": "Solve the equation 3(x + 44) - 3 = 6(x - 44) + 393 for x.", "solution_steps": ["Expand: 3x + 132 - 3 = 6(x - 44) + 393", "Expand: 3x + 132 - 3 = 6x - 264 + 393", "Combine constants: 3x + 129 = 6x - 264 + 393", "Combine constants: 3x + 129 = 6x + 129", "Subtract 6x from both sides: -3x + 129 = 129", "Subtract 129 from both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 44) - 3 = 6(x - 44) + 393", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 44, \"c\": 3, \"d\": 6, \"e\": 44, \"g\": 393, \"x\": 0}", "seed": "11581882693796018333", "semantic_fingerprint": "sha256:c38ed5939e4d130266351a3dea18053f536e7e0835e26656963b2f60d9fee839", "generator_version": "3.0"}
{"id": "v3_val_00001454", "prompt": "Find x: 6(x + 5) = 12(x - 49)", "solution_steps": ["Expand: 6x + 30 = 12(x - 49)", "Expand: 6x + 30 = 12x - 588", "Subtract 12x from both sides: -6x + 30 = -588", "Subtract 30 from both sides: -6x = -618", "Divide both sides by -6: x = 103"], "final_answer": "103", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 5) = 12(x - 49)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 12, \"d\": 49}", "seed": "12899573544327611678", "semantic_fingerprint": "sha256:8d714adc6d37ad7992df8983c32721c990a6ae97861fd2b0d30ae9954cbd544b", "generator_version": "3.0"}
{"id": "v3_val_00001455", "prompt": "Find x: 6(x + 7) - 5 = 19", "solution_steps": ["Expand: 6x + 42 - 5 = 19", "Combine constants: 6x + 37 = 19", "Subtract 37 from both sides: 6x = -18", "Divide both sides by 6: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 7) - 5 = 19", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 5, \"e\": 19, \"x\": -3}", "seed": "7853366651167023209", "semantic_fingerprint": "sha256:89d926c395dfdb1123d558f1bca59004e8f832d4f4aa63f3197cd414b4c21312", "generator_version": "3.0"}
{"id": "v3_val_00001456", "prompt": "Calculate: -29 / (4 * (-1)) * (16 / 37)", "solution_steps": ["Multiply: 4 * (-1) = -4", "Divide: -29 / (-4) = 29/4", "Divide: 16 / 37 = 16/37", "Multiply: (29/4) * (16/37) = 116/37"], "final_answer": "116/37", "answer_type": "rational", "kind": "expression", "math_text": "-29 / (4 * (-1)) * (16 / 37)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 4, \"c\": -1, \"d\": 16, \"e\": 37}", "seed": "10045688216618784088", "semantic_fingerprint": "sha256:6bd58a0bf16de26c0f7cc7e66093157a5cd9ebd75c2ddc6ce91d7f8ca89620b6", "generator_version": "3.0"}
{"id": "v3_val_00001457", "prompt": "Evaluate: (5 - (-16)) / 77", "solution_steps": ["Subtract: 5 - (-16) = 21", "Divide: 21 / 77 = 3/11"], "final_answer": "3/11", "answer_type": "rational", "kind": "expression", "math_text": "(5 - (-16)) / 77", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -16, \"c\": 77}", "seed": "17315677613085777046", "semantic_fingerprint": "sha256:4ffa19c3e5a82ab6947e6a6289a88dae87713cd00219a5babd428e009007c664", "generator_version": "3.0"}
{"id": "v3_val_00001458", "prompt": "What value of x satisfies 7(x + 58) = -11(x - 16)?", "solution_steps": ["Expand: 7x + 406 = -11(x - 16)", "Expand: 7x + 406 = -11x + 176", "Add 11x to both sides: 18x + 406 = 176", "Subtract 406 from both sides: 18x = -230", "Divide both sides by 18: x = -115/9"], "final_answer": "-115/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 58) = -11(x - 16)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 58, \"c\": -11, \"d\": 16}", "seed": "8488390407334747192", "semantic_fingerprint": "sha256:0173c63de7c983e179290c2d4ce7245f7482f9945ec75f1f7de684e7036f4ad2", "generator_version": "3.0"}
{"id": "v3_val_00001459", "prompt": "Evaluate: (-365 + (-44)) / (-452) + (-64 - (-59 - (-267)))", "solution_steps": ["Add: -365 + (-44) = -409", "Divide: -409 / (-452) = 409/452", "Subtract: -59 - (-267) = 208", "Subtract: -64 - 208 = -272", "Add: 409/452 + (-272) = -122535/452"], "final_answer": "-122535/452", "answer_type": "rational", "kind": "expression", "math_text": "(-365 + (-44)) / (-452) + (-64 - (-59 - (-267)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -365, \"b\": -44, \"c\": -452, \"d\": -64, \"e\": -59, \"f\": -267}", "seed": "11820057536601307509", "semantic_fingerprint": "sha256:b5a8fc346d964c5780de9cf5cd40242a4b4de641fdeff7779d7e0a1995e88d45", "generator_version": "3.0"}
{"id": "v3_val_00001460", "prompt": "What is -16 + 906 * 14?", "solution_steps": ["Multiply: 906 * 14 = 12684", "Add: -16 + 12684 = 12668"], "final_answer": "12668", "answer_type": "integer", "kind": "expression", "math_text": "-16 + 906 * 14", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 906, \"c\": 14}", "seed": "10124906189345524313", "semantic_fingerprint": "sha256:b038e7f9b39a512b0254aaa692b66c1027617f0a453a3b227411ef43b7ce6eb0", "generator_version": "3.0"}
{"id": "v3_val_00001461", "prompt": "What value of x satisfies 8x + 608 = 11(x + 58)?", "solution_steps": ["Expand: 8x + 608 = 11x + 638", "Subtract 11x from both sides: -3x + 608 = 638", "Subtract 608 from both sides: -3x = 30", "Divide both sides by -3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 608 = 11(x + 58)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 11, \"c\": 58, \"e\": 608, \"x\": -10}", "seed": "12466136323058524510", "semantic_fingerprint": "sha256:32bb6e699d5d2e55550032519aa5101b5ab1fac9d5b4b9851f08ddd46dfacef9", "generator_version": "3.0"}
{"id": "v3_val_00001462", "prompt": "Calculate: 6 - (667 - 5) + 1", "solution_steps": ["Subtract: 667 - 5 = 662", "Subtract: 6 - 662 = -656", "Add: -656 + 1 = -655"], "final_answer": "-655", "answer_type": "integer", "kind": "expression", "math_text": "6 - (667 - 5) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 667, \"c\": 5, \"d\": 1}", "seed": "17537630643290687749", "semantic_fingerprint": "sha256:b69fd28185aa8ad8f9e3f5a90c4a15ecd894721e9205e917579c6a1538fc942a", "generator_version": "3.0"}
{"id": "v3_val_00001463", "prompt": "What is -35 * (-72)?", "solution_steps": ["Multiply: -35 * (-72) = 2520"], "final_answer": "2520", "answer_type": "integer", "kind": "expression", "math_text": "-35 * (-72)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -72}", "seed": "5226162035178344740", "semantic_fingerprint": "sha256:a9ecee4ba61b2ec3ba0e0856133898f8f004b3376985bdef201eba052757f8af", "generator_version": "3.0"}
{"id": "v3_val_00001464", "prompt": "Evaluate: -90 - (-751)", "solution_steps": ["Subtract: -90 - (-751) = 661"], "final_answer": "661", "answer_type": "integer", "kind": "expression", "math_text": "-90 - (-751)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -751}", "seed": "15522547631571053235", "semantic_fingerprint": "sha256:5b30e399bcec854f39cf0bfbe98b70f192cfc5aee4c30a2d64a8726feb4c4484", "generator_version": "3.0"}
{"id": "v3_val_00001465", "prompt": "Compute: 395 * (-31 * (-62))", "solution_steps": ["Multiply: -31 * (-62) = 1922", "Multiply: 395 * 1922 = 759190"], "final_answer": "759190", "answer_type": "integer", "kind": "expression", "math_text": "395 * (-31 * (-62))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 395, \"b\": -31, \"c\": -62}", "seed": "177998874258945673", "semantic_fingerprint": "sha256:6a808d9df490f167b616b19135565b92e343ba4b1bb9e5454ead7c537ca955d0", "generator_version": "3.0"}
{"id": "v3_val_00001466", "prompt": "What value of x satisfies 2x + 274 = 4(x + 63)?", "solution_steps": ["Expand: 2x + 274 = 4x + 252", "Subtract 4x from both sides: -2x + 274 = 252", "Subtract 274 from both sides: -2x = -22", "Divide both sides by -2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 274 = 4(x + 63)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 63, \"e\": 274, \"x\": 11}", "seed": "9151787639036287134", "semantic_fingerprint": "sha256:3f971f9f9f4064527a9bfe5644ba57cba2b4822cc944075ef374dfdb1bf60adc", "generator_version": "3.0"}
{"id": "v3_val_00001467", "prompt": "Solve for x: 11(x - 5) + 429 = 9(x + 42) + 12", "solution_steps": ["Expand: 11x - 55 + 429 = 9(x + 42) + 12", "Expand: 11x - 55 + 429 = 9x + 378 + 12", "Combine constants: 11x + 374 = 9x + 378 + 12", "Combine constants: 11x + 374 = 9x + 390", "Subtract 9x from both sides: 2x + 374 = 390", "Subtract 374 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 - 5) + 429 = 9(x + 42) + 12", "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\": 429, \"d\": 9, \"e\": 42, \"g\": 12, \"x\": 8}", "seed": "2970685848977842996", "semantic_fingerprint": "sha256:b1b5c942907597b2c756cbb26248b624788d17eb82e9b56e13750501dc68efc6", "generator_version": "3.0"}
{"id": "v3_val_00001468", "prompt": "Calculate: 74 - (-87) * (-672)", "solution_steps": ["Multiply: -87 * (-672) = 58464", "Subtract: 74 - 58464 = -58390"], "final_answer": "-58390", "answer_type": "integer", "kind": "expression", "math_text": "74 - (-87) * (-672)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -87, \"c\": -672}", "seed": "5614137546218578464", "semantic_fingerprint": "sha256:b7d6416c5493ca3f74bddc67c1cb717504fcbaf77987ebf426060958d30bc61d", "generator_version": "3.0"}
{"id": "v3_val_00001469", "prompt": "Find x: -8x = 12(x - 1) + 212", "solution_steps": ["Expand: -8x = 12x - 12 + 212", "Combine constants: -8x = 12x + 200", "Subtract 12x from both sides: -20x = 200", "Divide both sides by -20: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x = 12(x - 1) + 212", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 12, \"c\": 1, \"e\": 212, \"x\": -10}", "seed": "5143455260872606407", "semantic_fingerprint": "sha256:977126b52d43677f5d3fa9244e18d945a0b0fb22a9854adb943bbf7460d16f7a", "generator_version": "3.0"}
{"id": "v3_val_00001470", "prompt": "Solve the equation 7(x - 139) + 9 = 10x - 967 for x.", "solution_steps": ["Expand: 7x - 973 + 9 = 10x - 967", "Combine constants: 7x - 964 = 10x - 967", "Subtract 10x from both sides: -3x - 964 = -967", "Add 964 to both sides: -3x = -3", "Divide both sides by -3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 139) + 9 = 10x - 967", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 139, \"c\": 9, \"d\": 10, \"f\": -967, \"x\": 1}", "seed": "12908481448161699906", "semantic_fingerprint": "sha256:ccc861e5b04dab01dc29279f101e489b4169dade6bc582fb6eb75e55c19724d9", "generator_version": "3.0"}
{"id": "v3_val_00001471", "prompt": "Solve for x: 6x + 168 = -7(x + 2)", "solution_steps": ["Expand: 6x + 168 = -7x - 14", "Add 7x to both sides: 13x + 168 = -14", "Subtract 168 from both sides: 13x = -182", "Divide both sides by 13: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 168 = -7(x + 2)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": 2, \"e\": 168, \"x\": -14}", "seed": "16718083530205659153", "semantic_fingerprint": "sha256:4690b38ebbdac114b45eac8cfbbfbcd4546205c42f7f9b9e63a5d328b71801a8", "generator_version": "3.0"}
{"id": "v3_val_00001472", "prompt": "What is -81 + (-69) * 993 - 6?", "solution_steps": ["Multiply: -69 * 993 = -68517", "Add: -81 + (-68517) = -68598", "Subtract: -68598 - 6 = -68604"], "final_answer": "-68604", "answer_type": "integer", "kind": "expression", "math_text": "-81 + (-69) * 993 - 6", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -69, \"c\": 993, \"d\": 6}", "seed": "8236926508593729136", "semantic_fingerprint": "sha256:1718f997bbd68bf4cc868ce2dc5cd6587b25fb4a3f022232d1cf73d301f6b994", "generator_version": "3.0"}
{"id": "v3_val_00001473", "prompt": "Calculate: 4 * (-2) + (-6) * (-7) * (-7)", "solution_steps": ["Multiply: 4 * (-2) = -8", "Multiply: -6 * (-7) = 42", "Multiply: 42 * (-7) = -294", "Add: -8 + (-294) = -302"], "final_answer": "-302", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-2) + (-6) * (-7) * (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -2, \"c\": -6, \"d\": -7, \"e\": -7}", "seed": "12554865477593113732", "semantic_fingerprint": "sha256:211a8b018bb96a41de9069d71cef835a2787e9d10656a2f071d0994b0fa73bd6", "generator_version": "3.0"}
{"id": "v3_val_00001474", "prompt": "What value of x satisfies -11(x + 79) - 4 = 2x - 873?", "solution_steps": ["Expand: -11x - 869 - 4 = 2x - 873", "Combine constants: -11x - 873 = 2x - 873", "Subtract 2x from both sides: -13x - 873 = -873", "Add 873 to both sides: -13x = 0", "Divide both sides by -13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 79) - 4 = 2x - 873", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 79, \"c\": 4, \"d\": 2, \"f\": -873, \"x\": 0}", "seed": "14530846488432779558", "semantic_fingerprint": "sha256:638aa78e147e538e1b6365f4ff306b56608e9dada22e925b5f2acf0c1e63a1e2", "generator_version": "3.0"}
{"id": "v3_val_00001475", "prompt": "Evaluate: -7 - (-736) - (-79) / (-97)", "solution_steps": ["Subtract: -7 - (-736) = 729", "Divide: -79 / (-97) = 79/97", "Subtract: 729 - 79/97 = 70634/97"], "final_answer": "70634/97", "answer_type": "rational", "kind": "expression", "math_text": "-7 - (-736) - (-79) / (-97)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -736, \"c\": -79, \"d\": -97}", "seed": "2487737574287261240", "semantic_fingerprint": "sha256:cdb355b8326aeed1694527df7891cb952dd573fed2c6106d3d18049929c8cdd4", "generator_version": "3.0"}
{"id": "v3_val_00001476", "prompt": "What value of x satisfies -8(x + 32) = 7x?", "solution_steps": ["Expand: -8x - 256 = 7x", "Subtract 7x from both sides: -15x - 256 = 0", "Add 256 to both sides: -15x = 256", "Divide both sides by -15: x = -256/15"], "final_answer": "-256/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 32) = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 32, \"c\": 7}", "seed": "1915409706803327624", "semantic_fingerprint": "sha256:e7004507b85728be0aeda67bdf79a81cff50d822e2ddfa8e384c970637237ab9", "generator_version": "3.0"}
{"id": "v3_val_00001477", "prompt": "Evaluate: -19 / (1 / (-48))", "solution_steps": ["Divide: 1 / (-48) = -1/48", "Divide: -19 / (-1/48) = 912"], "final_answer": "912", "answer_type": "integer", "kind": "expression", "math_text": "-19 / (1 / (-48))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 1, \"c\": -48}", "seed": "4713534215304871950", "semantic_fingerprint": "sha256:ec446296896134f1f2a395f6169f5b3d31fe64e0c8608c2a0e58883b766806bc", "generator_version": "3.0"}
{"id": "v3_val_00001478", "prompt": "Compute: 5 - (-25) / (-29)", "solution_steps": ["Divide: -25 / (-29) = 25/29", "Subtract: 5 - 25/29 = 120/29"], "final_answer": "120/29", "answer_type": "rational", "kind": "expression", "math_text": "5 - (-25) / (-29)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -25, \"c\": -29}", "seed": "14546841321647639210", "semantic_fingerprint": "sha256:dbf90581d57f6aa09fa7f79d3d07e1d0de3161f6f46041db7389257b0a1a3e2e", "generator_version": "3.0"}
{"id": "v3_val_00001479", "prompt": "What value of x satisfies x + 542 = 8x?", "solution_steps": ["Subtract 8x from both sides: -7x + 542 = 0", "Subtract 542 from both sides: -7x = -542", "Divide both sides by -7: x = 542/7"], "final_answer": "542/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 542 = 8x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 542, \"b\": 8}", "seed": "17122111066873127318", "semantic_fingerprint": "sha256:c7f29c3069f9d09491b0526ced854e4e9037515023f9423c3d5f55026c4eeb49", "generator_version": "3.0"}
{"id": "v3_val_00001480", "prompt": "Evaluate: -58 + (-13) * (-845)", "solution_steps": ["Multiply: -13 * (-845) = 10985", "Add: -58 + 10985 = 10927"], "final_answer": "10927", "answer_type": "integer", "kind": "expression", "math_text": "-58 + (-13) * (-845)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -13, \"c\": -845}", "seed": "16917004288998892283", "semantic_fingerprint": "sha256:48b5f0472a1b4ecf9fb1bab02f78b96bed97fc02c46474d2b9cd85328edda88c", "generator_version": "3.0"}
{"id": "v3_val_00001481", "prompt": "Compute: 77 / (2 / (-435) / 7)", "solution_steps": ["Divide: 2 / (-435) = -2/435", "Divide: (-2/435) / 7 = -2/3045", "Divide: 77 / (-2/3045) = -234465/2"], "final_answer": "-234465/2", "answer_type": "rational", "kind": "expression", "math_text": "77 / (2 / (-435) / 7)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 2, \"c\": -435, \"d\": 7}", "seed": "4020257068505158821", "semantic_fingerprint": "sha256:ed5a8404e5d340453119b50da5f3dd2217b1e6558c580a31ef21875005649848", "generator_version": "3.0"}
{"id": "v3_val_00001482", "prompt": "Compute: -4 - (-38) * 60", "solution_steps": ["Multiply: -38 * 60 = -2280", "Subtract: -4 - (-2280) = 2276"], "final_answer": "2276", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-38) * 60", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -38, \"c\": 60}", "seed": "11202447316387807096", "semantic_fingerprint": "sha256:3f66e37b62ea2ef0fb714abbc1523106f0cf40a3964ddb29bc4e254d92ed97f4", "generator_version": "3.0"}
{"id": "v3_val_00001483", "prompt": "Evaluate: 353 * 584 - (-7)", "solution_steps": ["Multiply: 353 * 584 = 206152", "Subtract: 206152 - (-7) = 206159"], "final_answer": "206159", "answer_type": "integer", "kind": "expression", "math_text": "353 * 584 - (-7)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 353, \"b\": 584, \"c\": -7}", "seed": "15370287076243952066", "semantic_fingerprint": "sha256:8cd43f32b695d3f99246631c1a53781322cc826ba1ae62e7e0a1630cc76e6b76", "generator_version": "3.0"}
{"id": "v3_val_00001484", "prompt": "Compute: 0 / 31 * (9 * (-57) / (2 - 94))", "solution_steps": ["Divide: 0 / 31 = 0", "Multiply: 9 * (-57) = -513", "Subtract: 2 - 94 = -92", "Divide: -513 / (-92) = 513/92", "Multiply: 0 * (513/92) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 31 * (9 * (-57) / (2 - 94))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (/ (* n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 31, \"c\": 9, \"d\": -57, \"e\": 2, \"f\": 94}", "seed": "13518669901260549173", "semantic_fingerprint": "sha256:7dbeeaf0204d5c4be9efbc7bf742c4d5c12d50069dc56802098759151e91cd63", "generator_version": "3.0"}
{"id": "v3_val_00001485", "prompt": "What is -8 - 0 / (5 + (-82) * 10) / 596?", "solution_steps": ["Multiply: -82 * 10 = -820", "Add: 5 + (-820) = -815", "Divide: 0 / (-815) = 0", "Divide: 0 / 596 = 0", "Subtract: -8 - 0 = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 0 / (5 + (-82) * 10) / 596", "variable": null, "family": "expression_5op", "shape": "(- n (/ (/ n (+ n (* n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0, \"c\": 5, \"d\": -82, \"e\": 10, \"f\": 596}", "seed": "9303031468299893665", "semantic_fingerprint": "sha256:2019e5aaa4dbb906feda950698c31cc3db4d7a834059de7fa8f0e381041dbd4b", "generator_version": "3.0"}
{"id": "v3_val_00001486", "prompt": "What value of x satisfies 7(x + 5) = 9x?", "solution_steps": ["Expand: 7x + 35 = 9x", "Subtract 9x from both sides: -2x + 35 = 0", "Subtract 35 from both sides: -2x = -35", "Divide both sides by -2: x = 35/2"], "final_answer": "35/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 5) = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 9}", "seed": "12231942355615860790", "semantic_fingerprint": "sha256:24e62f7771ecd0fb7aea81a2925ecd747d9413d3e1407608db64aa6af5da452f", "generator_version": "3.0"}
{"id": "v3_val_00001487", "prompt": "Compute: 0 - (90 + (449 + (-20)))", "solution_steps": ["Add: 449 + (-20) = 429", "Add: 90 + 429 = 519", "Subtract: 0 - 519 = -519"], "final_answer": "-519", "answer_type": "integer", "kind": "expression", "math_text": "0 - (90 + (449 + (-20)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 90, \"c\": 449, \"d\": -20}", "seed": "9134741674125080748", "semantic_fingerprint": "sha256:d0e3e6c9cc8a2ae091ebc7412a12c35178ced630beb053255047892a506b1193", "generator_version": "3.0"}
{"id": "v3_val_00001488", "prompt": "Find x: -7x + 341 = -8x - 14", "solution_steps": ["Add 8x to both sides: x + 341 = -14", "Subtract 341 from both sides: x = -355"], "final_answer": "-355", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x + 341 = -8x - 14", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 341, \"c\": -8, \"d\": 14}", "seed": "10859475706358618839", "semantic_fingerprint": "sha256:cfc36ef1724fe6091b34bbf3a5be0bfdc526ec7013dd8ed3c31215d5d969fccd", "generator_version": "3.0"}
{"id": "v3_val_00001489", "prompt": "Evaluate: (75 - (-8)) * (-81)", "solution_steps": ["Subtract: 75 - (-8) = 83", "Multiply: 83 * (-81) = -6723"], "final_answer": "-6723", "answer_type": "integer", "kind": "expression", "math_text": "(75 - (-8)) * (-81)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -8, \"c\": -81}", "seed": "7132829067193431444", "semantic_fingerprint": "sha256:ca4aa4b84330ee1d8c8edfbca6288e06af2465b4dfadf273ea874515641617d7", "generator_version": "3.0"}
{"id": "v3_val_00001490", "prompt": "Evaluate: (-308 - (-88)) * (1 + 422)", "solution_steps": ["Subtract: -308 - (-88) = -220", "Add: 1 + 422 = 423", "Multiply: -220 * 423 = -93060"], "final_answer": "-93060", "answer_type": "integer", "kind": "expression", "math_text": "(-308 - (-88)) * (1 + 422)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -308, \"b\": -88, \"c\": 1, \"d\": 422}", "seed": "4615472266829529660", "semantic_fingerprint": "sha256:b76d2f6b4a5a71c942632c90cc47a89c995dfb62403d6939fd7474d355a70991", "generator_version": "3.0"}
{"id": "v3_val_00001491", "prompt": "Calculate: -789 + (9 - (-20))", "solution_steps": ["Subtract: 9 - (-20) = 29", "Add: -789 + 29 = -760"], "final_answer": "-760", "answer_type": "integer", "kind": "expression", "math_text": "-789 + (9 - (-20))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -789, \"b\": 9, \"c\": -20}", "seed": "13452025264169917526", "semantic_fingerprint": "sha256:6c49d3af1328c40b4975ce899efe1aae37cab90a4a9cb562a6adbf618c39d414", "generator_version": "3.0"}
{"id": "v3_val_00001492", "prompt": "Solve for x: -2(x - 946) - 515 = -89", "solution_steps": ["Expand: -2x + 1892 - 515 = -89", "Combine constants: -2x + 1377 = -89", "Subtract 1377 from both sides: -2x = -1466", "Divide both sides by -2: x = 733"], "final_answer": "733", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 946) - 515 = -89", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 946, \"c\": 515, \"d\": -89}", "seed": "16939702199752089024", "semantic_fingerprint": "sha256:d7e65a337e41341a65ffd33797e5f226f3b7c3cf513a24ba230a33f7860b3adb", "generator_version": "3.0"}
{"id": "v3_val_00001493", "prompt": "Calculate: (4 + (-809) + (-1 - (-13))) / 91", "solution_steps": ["Add: 4 + (-809) = -805", "Subtract: -1 - (-13) = 12", "Add: -805 + 12 = -793", "Divide: -793 / 91 = -61/7"], "final_answer": "-61/7", "answer_type": "rational", "kind": "expression", "math_text": "(4 + (-809) + (-1 - (-13))) / 91", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -809, \"c\": -1, \"d\": -13, \"e\": 91}", "seed": "15616629286683392316", "semantic_fingerprint": "sha256:ba3eb970a84c49f870caab386851801f6fbd1aac242962f86e224e996ece2314", "generator_version": "3.0"}
{"id": "v3_val_00001494", "prompt": "Evaluate: 660 + 9 / 41 * 136", "solution_steps": ["Divide: 9 / 41 = 9/41", "Multiply: (9/41) * 136 = 1224/41", "Add: 660 + 1224/41 = 28284/41"], "final_answer": "28284/41", "answer_type": "rational", "kind": "expression", "math_text": "660 + 9 / 41 * 136", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 660, \"b\": 9, \"c\": 41, \"d\": 136}", "seed": "3852427130024237276", "semantic_fingerprint": "sha256:277f5cfdb851df76d1836394d705a0280fc391adbb57d346f2adb4b934a909fb", "generator_version": "3.0"}
{"id": "v3_val_00001495", "prompt": "Calculate: 55 / (-6 - (-62))", "solution_steps": ["Subtract: -6 - (-62) = 56", "Divide: 55 / 56 = 55/56"], "final_answer": "55/56", "answer_type": "rational", "kind": "expression", "math_text": "55 / (-6 - (-62))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -6, \"c\": -62}", "seed": "12274588681835291799", "semantic_fingerprint": "sha256:d2a7976d0b7adbbbceddb71307ab7651b23859f12de0f11568cc68e460285c03", "generator_version": "3.0"}
{"id": "v3_val_00001496", "prompt": "What is (-642 + (-38)) * 4 / 63?", "solution_steps": ["Add: -642 + (-38) = -680", "Multiply: -680 * 4 = -2720", "Divide: -2720 / 63 = -2720/63"], "final_answer": "-2720/63", "answer_type": "rational", "kind": "expression", "math_text": "(-642 + (-38)) * 4 / 63", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -642, \"b\": -38, \"c\": 4, \"d\": 63}", "seed": "6004788645840308996", "semantic_fingerprint": "sha256:16ce359c679b95119a680504c3535fa3eb083ee90dd3717ccb91cdb861523b92", "generator_version": "3.0"}
{"id": "v3_val_00001497", "prompt": "Evaluate: -7 * (-357) + 50", "solution_steps": ["Multiply: -7 * (-357) = 2499", "Add: 2499 + 50 = 2549"], "final_answer": "2549", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-357) + 50", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -357, \"c\": 50}", "seed": "4754096669823695073", "semantic_fingerprint": "sha256:5615d55a9f07c6107191b0fa445cec882dc8381480694d4fff286b660f7ebfb1", "generator_version": "3.0"}
{"id": "v3_val_00001498", "prompt": "What value of x satisfies 7(x + 6) = 4x + 87?", "solution_steps": ["Expand: 7x + 42 = 4x + 87", "Subtract 4x from both sides: 3x + 42 = 87", "Subtract 42 from both sides: 3x = 45", "Divide both sides by 3: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 6) = 4x + 87", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 4, \"e\": 87, \"x\": 15}", "seed": "8496579743598167677", "semantic_fingerprint": "sha256:c0d761a0e40fcb13c6b8d68e9a8cc0caa4216527fc8409749f3845306bb64414", "generator_version": "3.0"}
{"id": "v3_val_00001499", "prompt": "Compute: -448 * (-3) + (-85 + 69)", "solution_steps": ["Multiply: -448 * (-3) = 1344", "Add: -85 + 69 = -16", "Add: 1344 + (-16) = 1328"], "final_answer": "1328", "answer_type": "integer", "kind": "expression", "math_text": "-448 * (-3) + (-85 + 69)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -448, \"b\": -3, \"c\": -85, \"d\": 69}", "seed": "10533307187966389443", "semantic_fingerprint": "sha256:c67829d77093c8bd9e16045f9157ef870c70cb78271e637ee5d752e0a95eb2e5", "generator_version": "3.0"}
{"id": "v3_val_00001500", "prompt": "Solve the equation 7x - 28 = 3(x + 80) - 324 for x.", "solution_steps": ["Expand: 7x - 28 = 3x + 240 - 324", "Combine constants: 7x - 28 = 3x - 84", "Subtract 3x from both sides: 4x - 28 = -84", "Add 28 to both sides: 4x = -56", "Divide both sides by 4: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 28 = 3(x + 80) - 324", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 28, \"c\": 3, \"d\": 80, \"f\": -324, \"x\": -14}", "seed": "16001009640903586422", "semantic_fingerprint": "sha256:ee868f72635044ade92929e1a960f1e4cd0adcf4f79aa2dda64067fd06060355", "generator_version": "3.0"}
{"id": "v3_val_00001501", "prompt": "What is -37 - (-45) * 0?", "solution_steps": ["Multiply: -45 * 0 = 0", "Subtract: -37 - 0 = -37"], "final_answer": "-37", "answer_type": "integer", "kind": "expression", "math_text": "-37 - (-45) * 0", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -45, \"c\": 0}", "seed": "1564388975053304594", "semantic_fingerprint": "sha256:fc2b2545e28982f87e1b1034052e41cc98eadd0a5535310fb5f729b413a0fae9", "generator_version": "3.0"}
{"id": "v3_val_00001502", "prompt": "Calculate: -2 * (-8) + (-1)", "solution_steps": ["Multiply: -2 * (-8) = 16", "Add: 16 + (-1) = 15"], "final_answer": "15", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-8) + (-1)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -8, \"c\": -1}", "seed": "8480008951968722163", "semantic_fingerprint": "sha256:503e2c4438b2ea92b2dcf9301ce13022d14ee8afcfff46714f666ba5677b8605", "generator_version": "3.0"}
{"id": "v3_val_00001503", "prompt": "Calculate: 96 * (75 - 7) * (-1)", "solution_steps": ["Subtract: 75 - 7 = 68", "Multiply: 96 * 68 = 6528", "Multiply: 6528 * (-1) = -6528"], "final_answer": "-6528", "answer_type": "integer", "kind": "expression", "math_text": "96 * (75 - 7) * (-1)", "variable": null, "family": "expression_3op", "shape": "(* (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 75, \"c\": 7, \"d\": -1}", "seed": "15646328985305894649", "semantic_fingerprint": "sha256:e845442d293c86fbeb5d859e49f8a28d0c1bd3489b3b7a993404903ef2d5ef7e", "generator_version": "3.0"}
{"id": "v3_val_00001504", "prompt": "Solve for x: -12(x - 58) = 11(x + 5) + 825", "solution_steps": ["Expand: -12x + 696 = 11(x + 5) + 825", "Expand: -12x + 696 = 11x + 55 + 825", "Combine constants: -12x + 696 = 11x + 880", "Subtract 11x from both sides: -23x + 696 = 880", "Subtract 696 from both sides: -23x = 184", "Divide both sides by -23: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 58) = 11(x + 5) + 825", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 58, \"c\": 11, \"d\": 5, \"f\": 825, \"x\": -8}", "seed": "11309201913863020026", "semantic_fingerprint": "sha256:a2c7ffc3a2819d4a447f18e58a7e0e1c788151a978160ffebbcc8f77bed14250", "generator_version": "3.0"}
{"id": "v3_val_00001505", "prompt": "Evaluate: -75 / (-57) / (4 * (-95 + (33 + 29)))", "solution_steps": ["Divide: -75 / (-57) = 25/19", "Add: 33 + 29 = 62", "Add: -95 + 62 = -33", "Multiply: 4 * (-33) = -132", "Divide: (25/19) / (-132) = -25/2508"], "final_answer": "-25/2508", "answer_type": "rational", "kind": "expression", "math_text": "-75 / (-57) / (4 * (-95 + (33 + 29)))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (* n (+ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -57, \"c\": 4, \"d\": -95, \"e\": 33, \"f\": 29}", "seed": "11580037456752255903", "semantic_fingerprint": "sha256:32561451160b2d76b8c48f37dae75e3fb34bba84f7a02fc555cd23201ea12c7d", "generator_version": "3.0"}
{"id": "v3_val_00001506", "prompt": "Compute: -420 - (-352)", "solution_steps": ["Subtract: -420 - (-352) = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "expression", "math_text": "-420 - (-352)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -420, \"b\": -352}", "seed": "2797114184804603189", "semantic_fingerprint": "sha256:f390b6604ae3e88e560e450fc6056c52fba4a373af2a74e0f0e46d1a5819101e", "generator_version": "3.0"}
{"id": "v3_val_00001507", "prompt": "What value of x satisfies 11(x - 121) = 7?", "solution_steps": ["Expand: 11x - 1331 = 7", "Add 1331 to both sides: 11x = 1338", "Divide both sides by 11: x = 1338/11"], "final_answer": "1338/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 121) = 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 121, \"c\": 7}", "seed": "18433730919576073912", "semantic_fingerprint": "sha256:73be97dec3524241ecb43688b754b4541d5753fe5d6c8d8f90063da74bd1afb7", "generator_version": "3.0"}
{"id": "v3_val_00001508", "prompt": "Calculate: 166 + (-7)", "solution_steps": ["Add: 166 + (-7) = 159"], "final_answer": "159", "answer_type": "integer", "kind": "expression", "math_text": "166 + (-7)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 166, \"b\": -7}", "seed": "3297105713797076503", "semantic_fingerprint": "sha256:e874350a603695894e3045799c42acc3d2c64928ecf57da73a1d0723c74413bf", "generator_version": "3.0"}
{"id": "v3_val_00001509", "prompt": "Calculate: -70 / 9 + (-72)", "solution_steps": ["Divide: -70 / 9 = -70/9", "Add: -70/9 + (-72) = -718/9"], "final_answer": "-718/9", "answer_type": "rational", "kind": "expression", "math_text": "-70 / 9 + (-72)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 9, \"c\": -72}", "seed": "18249918553687617335", "semantic_fingerprint": "sha256:a499fe244baafd34550e71d11ba6aa8cc8377da926357e6fdf6818299b985a6f", "generator_version": "3.0"}
{"id": "v3_val_00001510", "prompt": "Calculate: (732 + 109) * (-5) - (-95)", "solution_steps": ["Add: 732 + 109 = 841", "Multiply: 841 * (-5) = -4205", "Subtract: -4205 - (-95) = -4110"], "final_answer": "-4110", "answer_type": "integer", "kind": "expression", "math_text": "(732 + 109) * (-5) - (-95)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 732, \"b\": 109, \"c\": -5, \"d\": -95}", "seed": "16873198484557121566", "semantic_fingerprint": "sha256:74c9b5e2173f700c83cd77e5d4b61c84569f866c1058b72577b0a129ff0286d0", "generator_version": "3.0"}
{"id": "v3_val_00001511", "prompt": "Compute: -92 / (-864 - (-151))", "solution_steps": ["Subtract: -864 - (-151) = -713", "Divide: -92 / (-713) = 4/31"], "final_answer": "4/31", "answer_type": "rational", "kind": "expression", "math_text": "-92 / (-864 - (-151))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -864, \"c\": -151}", "seed": "11375356978672264918", "semantic_fingerprint": "sha256:2f5a1bee62b543844c6f60bf8992c76b49f7b75a02f58fccc15dcaac8e5b23b3", "generator_version": "3.0"}
{"id": "v3_val_00001512", "prompt": "What is (-9 + (-74)) * (86 / (-3 / 86))?", "solution_steps": ["Add: -9 + (-74) = -83", "Divide: -3 / 86 = -3/86", "Divide: 86 / (-3/86) = -7396/3", "Multiply: -83 * (-7396/3) = 613868/3"], "final_answer": "613868/3", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + (-74)) * (86 / (-3 / 86))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -74, \"c\": 86, \"d\": -3, \"e\": 86}", "seed": "1324835121445479143", "semantic_fingerprint": "sha256:595b007b3793e6b92f3e98d85ea102f597f3fb3fcb45a750111e5e1b7b5d5b49", "generator_version": "3.0"}
{"id": "v3_val_00001513", "prompt": "Calculate: -934 - 20 + (-71) * 24", "solution_steps": ["Subtract: -934 - 20 = -954", "Multiply: -71 * 24 = -1704", "Add: -954 + (-1704) = -2658"], "final_answer": "-2658", "answer_type": "integer", "kind": "expression", "math_text": "-934 - 20 + (-71) * 24", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -934, \"b\": 20, \"c\": -71, \"d\": 24}", "seed": "6231184358749510514", "semantic_fingerprint": "sha256:df99c98a89f9bfc81e45093c1fbac24e7ea691f8f802a2e2cb8bee5ce8c3a6f7", "generator_version": "3.0"}
{"id": "v3_val_00001514", "prompt": "What is 819 / (574 - 0)?", "solution_steps": ["Subtract: 574 - 0 = 574", "Divide: 819 / 574 = 117/82"], "final_answer": "117/82", "answer_type": "rational", "kind": "expression", "math_text": "819 / (574 - 0)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 819, \"b\": 574, \"c\": 0}", "seed": "12651632614348990454", "semantic_fingerprint": "sha256:6e1edd05032bd9f4c51f48531a89287ca271fe28b0da7217c7134c1cd8b2928c", "generator_version": "3.0"}
{"id": "v3_val_00001515", "prompt": "What is (-21 - (-43)) * (-9) / 56 / 98?", "solution_steps": ["Subtract: -21 - (-43) = 22", "Multiply: 22 * (-9) = -198", "Divide: -198 / 56 = -99/28", "Divide: (-99/28) / 98 = -99/2744"], "final_answer": "-99/2744", "answer_type": "rational", "kind": "expression", "math_text": "(-21 - (-43)) * (-9) / 56 / 98", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -43, \"c\": -9, \"d\": 56, \"e\": 98}", "seed": "16095074444497369373", "semantic_fingerprint": "sha256:3b6d66bf79ab9b26e50623f92c80040d3fbc23f4b98801f99855873135e2f6a8", "generator_version": "3.0"}
{"id": "v3_val_00001516", "prompt": "Evaluate: 35 / 6", "solution_steps": ["Divide: 35 / 6 = 35/6"], "final_answer": "35/6", "answer_type": "rational", "kind": "expression", "math_text": "35 / 6", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 6}", "seed": "3648655762860578950", "semantic_fingerprint": "sha256:45156af040bd8a84ff418402df1fe54537fbb408e44591063a58e06c24a0cce3", "generator_version": "3.0"}
{"id": "v3_val_00001517", "prompt": "Solve the equation -3(x - 8) = -5(x + 13) for x.", "solution_steps": ["Expand: -3x + 24 = -5(x + 13)", "Expand: -3x + 24 = -5x - 65", "Add 5x to both sides: 2x + 24 = -65", "Subtract 24 from both sides: 2x = -89", "Divide both sides by 2: x = -89/2"], "final_answer": "-89/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 8) = -5(x + 13)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": -5, \"d\": 13}", "seed": "7438264788619829039", "semantic_fingerprint": "sha256:5bc9729651c785b1d801e16fc1197d6412518da5fc976ab0fa72f82ef5bc2b4d", "generator_version": "3.0"}
{"id": "v3_val_00001518", "prompt": "What value of x satisfies x = 7(x + 59)?", "solution_steps": ["Expand: x = 7x + 413", "Subtract 7x from both sides: -6x = 413", "Divide both sides by -6: x = -413/6"], "final_answer": "-413/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x + 59)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 59}", "seed": "12458538391608722040", "semantic_fingerprint": "sha256:a7e73ae008e75d18efb1c4d2b5cc310c659131418a867d2334ea4514d717c38d", "generator_version": "3.0"}
{"id": "v3_val_00001519", "prompt": "Find x: 6x = 4(x - 869)", "solution_steps": ["Expand: 6x = 4x - 3476", "Subtract 4x from both sides: 2x = -3476", "Divide both sides by 2: x = -1738"], "final_answer": "-1738", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 4(x - 869)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 869}", "seed": "13634058627160029609", "semantic_fingerprint": "sha256:441a694b08c2b412237f99a047c6e81a12e789e982114f37b09170f58a37dc19", "generator_version": "3.0"}
{"id": "v3_val_00001520", "prompt": "What value of x satisfies x = 5x - 7?", "solution_steps": ["Subtract 5x from both sides: -4x = -7", "Divide both sides by -4: x = 7/4"], "final_answer": "7/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 5x - 7", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7}", "seed": "8533370202334027640", "semantic_fingerprint": "sha256:bb3a7a3e2da39056a435dd413f615bdc3e72fe5163499225eaa3178212f55135", "generator_version": "3.0"}
{"id": "v3_val_00001521", "prompt": "What value of x satisfies 2x - 1 = 6(x + 6) - 29?", "solution_steps": ["Expand: 2x - 1 = 6x + 36 - 29", "Combine constants: 2x - 1 = 6x + 7", "Subtract 6x from both sides: -4x - 1 = 7", "Add 1 to both sides: -4x = 8", "Divide both sides by -4: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 1 = 6(x + 6) - 29", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 6, \"d\": 6, \"f\": -29, \"x\": -2}", "seed": "1315028746898021660", "semantic_fingerprint": "sha256:56c71bec8109ba4fea6cdb68940d9f678073ec22d4d23d3a97d0ed3bd05c9c77", "generator_version": "3.0"}
{"id": "v3_val_00001522", "prompt": "What is 62 + (-7)?", "solution_steps": ["Add: 62 + (-7) = 55"], "final_answer": "55", "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": "13579520371222842354", "semantic_fingerprint": "sha256:bf3551f35fe49643b854f99f56e7def358db6f341735da241d66df07285676d5", "generator_version": "3.0"}
{"id": "v3_val_00001523", "prompt": "What is 73 - 1 - 59?", "solution_steps": ["Subtract: 73 - 1 = 72", "Subtract: 72 - 59 = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "73 - 1 - 59", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 1, \"c\": 59}", "seed": "9814011918568015397", "semantic_fingerprint": "sha256:57e12603ca483320722aa69d4ee71ae7c9b02fc31d5cbe5bf81d9caa36032686", "generator_version": "3.0"}
{"id": "v3_val_00001524", "prompt": "What value of x satisfies 3(x - 6) - 4 = 8(x - 698) + 3?", "solution_steps": ["Expand: 3x - 18 - 4 = 8(x - 698) + 3", "Expand: 3x - 18 - 4 = 8x - 5584 + 3", "Combine constants: 3x - 22 = 8x - 5584 + 3", "Combine constants: 3x - 22 = 8x - 5581", "Subtract 8x from both sides: -5x - 22 = -5581", "Add 22 to both sides: -5x = -5559", "Divide both sides by -5: x = 5559/5"], "final_answer": "5559/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 6) - 4 = 8(x - 698) + 3", "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\": 4, \"d\": 8, \"e\": 698, \"f\": 3}", "seed": "5420085309190535178", "semantic_fingerprint": "sha256:c714fa62b5f3381340e89518ce564507d599a2f992461a7d050cf00904869134", "generator_version": "3.0"}
{"id": "v3_val_00001525", "prompt": "Solve for x: x + 6 = 2x", "solution_steps": ["Subtract 2x from both sides: -x + 6 = 0", "Subtract 6 from both sides: -x = -6", "Divide both sides by -1: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6 = 2x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2}", "seed": "13876300109575877754", "semantic_fingerprint": "sha256:7ea879410b771add3edc6c1b82265c2cb8bcee06c69b63dafb2570d11e9b0b15", "generator_version": "3.0"}
{"id": "v3_val_00001526", "prompt": "What is 0 - (33 - 203) / 5?", "solution_steps": ["Subtract: 33 - 203 = -170", "Divide: -170 / 5 = -34", "Subtract: 0 - (-34) = 34"], "final_answer": "34", "answer_type": "integer", "kind": "expression", "math_text": "0 - (33 - 203) / 5", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 33, \"c\": 203, \"d\": 5}", "seed": "13309672779338615561", "semantic_fingerprint": "sha256:8b19380f75f4950872ce1744b5a81a63d24f7d7a870393c7d232beb3a728d981", "generator_version": "3.0"}
{"id": "v3_val_00001527", "prompt": "Calculate: -750 * (-5)", "solution_steps": ["Multiply: -750 * (-5) = 3750"], "final_answer": "3750", "answer_type": "integer", "kind": "expression", "math_text": "-750 * (-5)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -750, \"b\": -5}", "seed": "11502954466744488363", "semantic_fingerprint": "sha256:95ec701c4f6f7a853483eaba475d0ae0e2c8952bb530e1dd71e2c85e53eec623", "generator_version": "3.0"}
{"id": "v3_val_00001528", "prompt": "Compute: (-547 + (-174)) / 68 - (-887 + 8)", "solution_steps": ["Add: -547 + (-174) = -721", "Divide: -721 / 68 = -721/68", "Add: -887 + 8 = -879", "Subtract: -721/68 - (-879) = 59051/68"], "final_answer": "59051/68", "answer_type": "rational", "kind": "expression", "math_text": "(-547 + (-174)) / 68 - (-887 + 8)", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -547, \"b\": -174, \"c\": 68, \"d\": -887, \"e\": 8}", "seed": "15649913950408253736", "semantic_fingerprint": "sha256:8a25e1711cf59d5be7aff858889738442041c9afe2a2022f89820fa3c26e1b9c", "generator_version": "3.0"}
{"id": "v3_val_00001529", "prompt": "What is -9 * (849 * (-1))?", "solution_steps": ["Multiply: 849 * (-1) = -849", "Multiply: -9 * (-849) = 7641"], "final_answer": "7641", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (849 * (-1))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 849, \"c\": -1}", "seed": "12833440480540252579", "semantic_fingerprint": "sha256:6d06468bf134abf0bd7f9cdc667717f4c6318cb60acfce65b332c64c0ddba37b", "generator_version": "3.0"}
{"id": "v3_val_00001530", "prompt": "Solve for x: x = 7x - 54", "solution_steps": ["Subtract 7x from both sides: -6x = -54", "Divide both sides by -6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 7x - 54", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": -54, \"x\": 9}", "seed": "12987387123295380536", "semantic_fingerprint": "sha256:767dc13959c82e99c39a43ac5b312ff64741c7176a7a77b9445ee640faa98215", "generator_version": "3.0"}
{"id": "v3_val_00001531", "prompt": "Compute: -75 + 5 - (-5 - (-7) - (-885))", "solution_steps": ["Add: -75 + 5 = -70", "Subtract: -5 - (-7) = 2", "Subtract: 2 - (-885) = 887", "Subtract: -70 - 887 = -957"], "final_answer": "-957", "answer_type": "integer", "kind": "expression", "math_text": "-75 + 5 - (-5 - (-7) - (-885))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 5, \"c\": -5, \"d\": -7, \"e\": -885}", "seed": "2860442519785310404", "semantic_fingerprint": "sha256:498f7dc890091a2fbf18982b62b8aec5b60889a669d5bdefc4f2798f88d056d6", "generator_version": "3.0"}
{"id": "v3_val_00001532", "prompt": "Calculate: 1 * (1 + (-1))", "solution_steps": ["Add: 1 + (-1) = 0", "Multiply: 1 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "1 * (1 + (-1))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 1, \"c\": -1}", "seed": "17693291140608432939", "semantic_fingerprint": "sha256:df2222dd06be333f86ceab8f3978dd45d65deda2f953d518e91bfac170bfbffc", "generator_version": "3.0"}
{"id": "v3_val_00001533", "prompt": "What value of x satisfies -12x - 757 = 10(x + 5) - 499?", "solution_steps": ["Expand: -12x - 757 = 10x + 50 - 499", "Combine constants: -12x - 757 = 10x - 449", "Subtract 10x from both sides: -22x - 757 = -449", "Add 757 to both sides: -22x = 308", "Divide both sides by -22: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 757 = 10(x + 5) - 499", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 757, \"c\": 10, \"d\": 5, \"f\": -499, \"x\": -14}", "seed": "1117401996499672983", "semantic_fingerprint": "sha256:5f95bf0d05965cca80ffae730ad68642be325243904a26b2b2ab8cb11a0656e7", "generator_version": "3.0"}
{"id": "v3_val_00001534", "prompt": "Calculate: (289 - 1) / 593", "solution_steps": ["Subtract: 289 - 1 = 288", "Divide: 288 / 593 = 288/593"], "final_answer": "288/593", "answer_type": "rational", "kind": "expression", "math_text": "(289 - 1) / 593", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 289, \"b\": 1, \"c\": 593}", "seed": "9088370329294851045", "semantic_fingerprint": "sha256:2472d3a667e22f4797994affc67260117415a7ed2ee06e9d715e7e6ad829b634", "generator_version": "3.0"}
{"id": "v3_val_00001535", "prompt": "What value of x satisfies 4x = x - 91?", "solution_steps": ["Subtract x from both sides: 3x = -91", "Divide both sides by 3: x = -91/3"], "final_answer": "-91/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = x - 91", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 91}", "seed": "18139612685609512750", "semantic_fingerprint": "sha256:51cabbf1a91dea8facf25aaeaecd8328dad5965661b3cdf6916f428c5c397cd7", "generator_version": "3.0"}
{"id": "v3_val_00001536", "prompt": "Compute: -284 - 64 - 7 * (-885)", "solution_steps": ["Subtract: -284 - 64 = -348", "Multiply: 7 * (-885) = -6195", "Subtract: -348 - (-6195) = 5847"], "final_answer": "5847", "answer_type": "integer", "kind": "expression", "math_text": "-284 - 64 - 7 * (-885)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -284, \"b\": 64, \"c\": 7, \"d\": -885}", "seed": "67631702299282555", "semantic_fingerprint": "sha256:7f2eb647f5313f6221ed048f41fe113422d6391aa06cff7d0206d2591ca2ae55", "generator_version": "3.0"}
{"id": "v3_val_00001537", "prompt": "Calculate: 93 - (-29) + 5 - (-6) * (-293)", "solution_steps": ["Subtract: 93 - (-29) = 122", "Add: 122 + 5 = 127", "Multiply: -6 * (-293) = 1758", "Subtract: 127 - 1758 = -1631"], "final_answer": "-1631", "answer_type": "integer", "kind": "expression", "math_text": "93 - (-29) + 5 - (-6) * (-293)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -29, \"c\": 5, \"d\": -6, \"e\": -293}", "seed": "2787720241659371892", "semantic_fingerprint": "sha256:1759a11bf10be26c592eb96fe789b714e9aadfb428275d8cb0334ae7e6f180ac", "generator_version": "3.0"}
{"id": "v3_val_00001538", "prompt": "Evaluate: 93 - (-54 / (-4) + (-257))", "solution_steps": ["Divide: -54 / (-4) = 27/2", "Add: 27/2 + (-257) = -487/2", "Subtract: 93 - (-487/2) = 673/2"], "final_answer": "673/2", "answer_type": "rational", "kind": "expression", "math_text": "93 - (-54 / (-4) + (-257))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -54, \"c\": -4, \"d\": -257}", "seed": "7938128214523817156", "semantic_fingerprint": "sha256:6dfbc3227911e54283749060c2596dd439f6be443f1257dc8916fe8e4cfda2da", "generator_version": "3.0"}
{"id": "v3_val_00001539", "prompt": "Compute: 83 - 415", "solution_steps": ["Subtract: 83 - 415 = -332"], "final_answer": "-332", "answer_type": "integer", "kind": "expression", "math_text": "83 - 415", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 415}", "seed": "14019904824393899731", "semantic_fingerprint": "sha256:00dd55249a41508c35e9e3f2b180a3523618af93b92f35fe4d262b72bb04a717", "generator_version": "3.0"}
{"id": "v3_val_00001540", "prompt": "Evaluate: -1 * (9 + (-798 - 80 / (6 * 8)))", "solution_steps": ["Multiply: 6 * 8 = 48", "Divide: 80 / 48 = 5/3", "Subtract: -798 - 5/3 = -2399/3", "Add: 9 + (-2399/3) = -2372/3", "Multiply: -1 * (-2372/3) = 2372/3"], "final_answer": "2372/3", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (9 + (-798 - 80 / (6 * 8)))", "variable": null, "family": "expression_5op", "shape": "(* n (+ n (- n (/ n (* n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 9, \"c\": -798, \"d\": 80, \"e\": 6, \"f\": 8}", "seed": "5993011087831830244", "semantic_fingerprint": "sha256:d82920cb1709b160aefd8cde31221dcc0f0f01653ad9e50bdfb0f0e8225ab1a4", "generator_version": "3.0"}
{"id": "v3_val_00001541", "prompt": "Calculate: 80 / (-1) - 6 * (-80) * 51", "solution_steps": ["Divide: 80 / (-1) = -80", "Multiply: 6 * (-80) = -480", "Multiply: -480 * 51 = -24480", "Subtract: -80 - (-24480) = 24400"], "final_answer": "24400", "answer_type": "integer", "kind": "expression", "math_text": "80 / (-1) - 6 * (-80) * 51", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -1, \"c\": 6, \"d\": -80, \"e\": 51}", "seed": "17961635926457529086", "semantic_fingerprint": "sha256:679f7e252474b45e8ffbaa7a24173061b9eff0fcc99f19a5f10dd17241752807", "generator_version": "3.0"}
{"id": "v3_val_00001542", "prompt": "Evaluate: (84 - 5) / 6", "solution_steps": ["Subtract: 84 - 5 = 79", "Divide: 79 / 6 = 79/6"], "final_answer": "79/6", "answer_type": "rational", "kind": "expression", "math_text": "(84 - 5) / 6", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 5, \"c\": 6}", "seed": "15813493505572539326", "semantic_fingerprint": "sha256:6274256c6d95e256bb78a0e4bcdaebd3ec4fbcb77b9f93a9c7c0e238e40f2028", "generator_version": "3.0"}
{"id": "v3_val_00001543", "prompt": "What is 6 + (-69)?", "solution_steps": ["Add: 6 + (-69) = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-69)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -69}", "seed": "15497955875326234830", "semantic_fingerprint": "sha256:36917a0ba5cbab366dd275330e292a33819e969e246121a2d6bfaee21b29cdcc", "generator_version": "3.0"}
{"id": "v3_val_00001544", "prompt": "Evaluate: -762 + (-3) + 0 / (-36 / 3)", "solution_steps": ["Add: -762 + (-3) = -765", "Divide: -36 / 3 = -12", "Divide: 0 / (-12) = 0", "Add: -765 + 0 = -765"], "final_answer": "-765", "answer_type": "integer", "kind": "expression", "math_text": "-762 + (-3) + 0 / (-36 / 3)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -762, \"b\": -3, \"c\": 0, \"d\": -36, \"e\": 3}", "seed": "15710006789896451131", "semantic_fingerprint": "sha256:e6b5c84103a50168fb7e13e817c676d2d6bd787e390b07383f4c340c30ff6d2c", "generator_version": "3.0"}
{"id": "v3_val_00001545", "prompt": "Find x: 12(x + 8) + 3 = -10(x - 22) - 561", "solution_steps": ["Expand: 12x + 96 + 3 = -10(x - 22) - 561", "Expand: 12x + 96 + 3 = -10x + 220 - 561", "Combine constants: 12x + 99 = -10x + 220 - 561", "Combine constants: 12x + 99 = -10x - 341", "Add 10x to both sides: 22x + 99 = -341", "Subtract 99 from both sides: 22x = -440", "Divide both sides by 22: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 8) + 3 = -10(x - 22) - 561", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 3, \"d\": -10, \"e\": 22, \"g\": -561, \"x\": -20}", "seed": "2117831961662796316", "semantic_fingerprint": "sha256:8e41f869a123795f1cb62a56da33ebdcb484c98b9a7742bcac8eecf2a2dc9d6e", "generator_version": "3.0"}
{"id": "v3_val_00001546", "prompt": "Compute: -49 + 50 - (-93) - (-9)", "solution_steps": ["Add: -49 + 50 = 1", "Subtract: 1 - (-93) = 94", "Subtract: 94 - (-9) = 103"], "final_answer": "103", "answer_type": "integer", "kind": "expression", "math_text": "-49 + 50 - (-93) - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 50, \"c\": -93, \"d\": -9}", "seed": "17808744441667816963", "semantic_fingerprint": "sha256:f68ff7453d460aa173444fdb89eda72c635de5e51174875c370e49e1df7701c6", "generator_version": "3.0"}
{"id": "v3_val_00001547", "prompt": "Solve the equation 2x = x + 5 for x.", "solution_steps": ["Subtract x from both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = x + 5", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5}", "seed": "5219726024151353713", "semantic_fingerprint": "sha256:33ad149878b4bd22b94ae3f9af8e5cd5bf0071d3521d953d97ad412d45ce29b4", "generator_version": "3.0"}
{"id": "v3_val_00001548", "prompt": "Compute: 75 - (-371) - (-17)", "solution_steps": ["Subtract: 75 - (-371) = 446", "Subtract: 446 - (-17) = 463"], "final_answer": "463", "answer_type": "integer", "kind": "expression", "math_text": "75 - (-371) - (-17)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -371, \"c\": -17}", "seed": "1739512778198758343", "semantic_fingerprint": "sha256:47a6eb2fd29c669e0cc56996980a9a651a6bec6212d8edcff2c3d8836ddea7eb", "generator_version": "3.0"}
{"id": "v3_val_00001549", "prompt": "Compute: -8 / 4 * (-3)", "solution_steps": ["Divide: -8 / 4 = -2", "Multiply: -2 * (-3) = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "-8 / 4 * (-3)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4, \"c\": -3}", "seed": "14076094888743891105", "semantic_fingerprint": "sha256:d60950ac6cc7d73af41e6b4131ebec2782bd7b1ea463ba75fc563fbb8cccac8b", "generator_version": "3.0"}
{"id": "v3_val_00001550", "prompt": "Compute: 15 / 975 + (-59)", "solution_steps": ["Divide: 15 / 975 = 1/65", "Add: 1/65 + (-59) = -3834/65"], "final_answer": "-3834/65", "answer_type": "rational", "kind": "expression", "math_text": "15 / 975 + (-59)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 975, \"c\": -59}", "seed": "15636699023925781515", "semantic_fingerprint": "sha256:42e76d87cdd88dd1af329ba15ab2ea7a2edf0298a42d5590cdfa478857357188", "generator_version": "3.0"}
{"id": "v3_val_00001551", "prompt": "Calculate: 8 - (317 - 9)", "solution_steps": ["Subtract: 317 - 9 = 308", "Subtract: 8 - 308 = -300"], "final_answer": "-300", "answer_type": "integer", "kind": "expression", "math_text": "8 - (317 - 9)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 317, \"c\": 9}", "seed": "5812361101313162059", "semantic_fingerprint": "sha256:db79b7567705b40a663af87d8af8b558be05c5b0430f83a4152c826b2275a5bd", "generator_version": "3.0"}
{"id": "v3_val_00001552", "prompt": "What is -85 / (-22)?", "solution_steps": ["Divide: -85 / (-22) = 85/22"], "final_answer": "85/22", "answer_type": "rational", "kind": "expression", "math_text": "-85 / (-22)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -22}", "seed": "18355778272400417580", "semantic_fingerprint": "sha256:6af090bbaf16fae4d9e3f7bb2898df58a86b8e06f24f86cf5fc7e581c6f67c8e", "generator_version": "3.0"}
{"id": "v3_val_00001553", "prompt": "Calculate: 64 / (-68) * (-91)", "solution_steps": ["Divide: 64 / (-68) = -16/17", "Multiply: (-16/17) * (-91) = 1456/17"], "final_answer": "1456/17", "answer_type": "rational", "kind": "expression", "math_text": "64 / (-68) * (-91)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -68, \"c\": -91}", "seed": "16389199063475730694", "semantic_fingerprint": "sha256:ed82f6f021dcdd169f91fd84884f58c5e7b95b72713798ebf211a59685a24204", "generator_version": "3.0"}
{"id": "v3_val_00001554", "prompt": "What is -4 * (-1) / (-16)?", "solution_steps": ["Multiply: -4 * (-1) = 4", "Divide: 4 / (-16) = -1/4"], "final_answer": "-1/4", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (-1) / (-16)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -1, \"c\": -16}", "seed": "12562349677995933875", "semantic_fingerprint": "sha256:7ebf15a20bfd59481b2a35f35b1348cbf7e0fec55c39ecf0351c3098f1b04f5c", "generator_version": "3.0"}
{"id": "v3_val_00001555", "prompt": "Compute: -795 / ((88 + (20 - (-238) - 820)) * (-12))", "solution_steps": ["Subtract: 20 - (-238) = 258", "Subtract: 258 - 820 = -562", "Add: 88 + (-562) = -474", "Multiply: -474 * (-12) = 5688", "Divide: -795 / 5688 = -265/1896"], "final_answer": "-265/1896", "answer_type": "rational", "kind": "expression", "math_text": "-795 / ((88 + (20 - (-238) - 820)) * (-12))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (+ n (- (- n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -795, \"b\": 88, \"c\": 20, \"d\": -238, \"e\": 820, \"f\": -12}", "seed": "5900353858571171800", "semantic_fingerprint": "sha256:d418be8535a08f98b449e831548c53dbde6c01621106e8e1b0bf2e75d9b38459", "generator_version": "3.0"}
{"id": "v3_val_00001556", "prompt": "Solve the equation 8x = x - 105 for x.", "solution_steps": ["Subtract x from both sides: 7x = -105", "Divide both sides by 7: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = x - 105", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": -105, \"x\": -15}", "seed": "7843768724555230681", "semantic_fingerprint": "sha256:e08f7944693678f8de7548060701a44fe9034c5b662e04da5a46dc4d82b2c18c", "generator_version": "3.0"}
{"id": "v3_val_00001557", "prompt": "Compute: 13 / ((8 - (-5)) * ((-2 - 7) / 420))", "solution_steps": ["Subtract: 8 - (-5) = 13", "Subtract: -2 - 7 = -9", "Divide: -9 / 420 = -3/140", "Multiply: 13 * (-3/140) = -39/140", "Divide: 13 / (-39/140) = -140/3"], "final_answer": "-140/3", "answer_type": "rational", "kind": "expression", "math_text": "13 / ((8 - (-5)) * ((-2 - 7) / 420))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (- n n) (/ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 8, \"c\": -5, \"d\": -2, \"e\": 7, \"f\": 420}", "seed": "6841819837663872165", "semantic_fingerprint": "sha256:a65bcb0532d51df67bb9f135ca123961211223372d9076f7057823584b724947", "generator_version": "3.0"}
{"id": "v3_val_00001558", "prompt": "Compute: -50 / (87 + 361)", "solution_steps": ["Add: 87 + 361 = 448", "Divide: -50 / 448 = -25/224"], "final_answer": "-25/224", "answer_type": "rational", "kind": "expression", "math_text": "-50 / (87 + 361)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 87, \"c\": 361}", "seed": "3568943616820945373", "semantic_fingerprint": "sha256:005e15b33e7c4e5c28f4ef3427e6429da49106e9e6a4b0feadba452d0c1c5009", "generator_version": "3.0"}
{"id": "v3_val_00001559", "prompt": "Calculate: -6 / (-6 + 39)", "solution_steps": ["Add: -6 + 39 = 33", "Divide: -6 / 33 = -2/11"], "final_answer": "-2/11", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-6 + 39)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -6, \"c\": 39}", "seed": "13094961095226539551", "semantic_fingerprint": "sha256:b9baba2d504863a927e5b899ef2d510cc86f24f07a10efa0b7079081254ec901", "generator_version": "3.0"}
{"id": "v3_val_00001560", "prompt": "Solve for x: 7(x - 5) = 12(x + 22) - 369", "solution_steps": ["Expand: 7x - 35 = 12(x + 22) - 369", "Expand: 7x - 35 = 12x + 264 - 369", "Combine constants: 7x - 35 = 12x - 105", "Subtract 12x from both sides: -5x - 35 = -105", "Add 35 to both sides: -5x = -70", "Divide both sides by -5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 5) = 12(x + 22) - 369", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 12, \"d\": 22, \"f\": -369, \"x\": 14}", "seed": "15506177701232087812", "semantic_fingerprint": "sha256:df3e02143af231120e8118f84cac06aecd6be79e357fcfacb311c8f414d4ac03", "generator_version": "3.0"}
{"id": "v3_val_00001561", "prompt": "Compute: 505 * 37 - 5", "solution_steps": ["Multiply: 505 * 37 = 18685", "Subtract: 18685 - 5 = 18680"], "final_answer": "18680", "answer_type": "integer", "kind": "expression", "math_text": "505 * 37 - 5", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 505, \"b\": 37, \"c\": 5}", "seed": "2112505028319921743", "semantic_fingerprint": "sha256:128369291ee377a812b85a03b66937d7d6045ee490989f98838ff0fe062837b6", "generator_version": "3.0"}
{"id": "v3_val_00001562", "prompt": "Evaluate: 7 * (88 * (-2))", "solution_steps": ["Multiply: 88 * (-2) = -176", "Multiply: 7 * (-176) = -1232"], "final_answer": "-1232", "answer_type": "integer", "kind": "expression", "math_text": "7 * (88 * (-2))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 88, \"c\": -2}", "seed": "8184102790295472964", "semantic_fingerprint": "sha256:e0a4b5f74ff9234f4c7d440b66998f446d55606b39cf5f3edb3fbe68e6237f97", "generator_version": "3.0"}
{"id": "v3_val_00001563", "prompt": "Calculate: (-15 / 650 - (-651)) / (-31) + (-50)", "solution_steps": ["Divide: -15 / 650 = -3/130", "Subtract: -3/130 - (-651) = 84627/130", "Divide: (84627/130) / (-31) = -84627/4030", "Add: -84627/4030 + (-50) = -286127/4030"], "final_answer": "-286127/4030", "answer_type": "rational", "kind": "expression", "math_text": "(-15 / 650 - (-651)) / (-31) + (-50)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 650, \"c\": -651, \"d\": -31, \"e\": -50}", "seed": "6214964531548906841", "semantic_fingerprint": "sha256:e53c8ffbb1e2330b9acdde739529c63ec73ffe94dbee0228ef4e02a7582e1bbe", "generator_version": "3.0"}
{"id": "v3_val_00001564", "prompt": "Calculate: -5 * (-2 - (-509))", "solution_steps": ["Subtract: -2 - (-509) = 507", "Multiply: -5 * 507 = -2535"], "final_answer": "-2535", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-2 - (-509))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -2, \"c\": -509}", "seed": "5280942137642835870", "semantic_fingerprint": "sha256:9fc35c6856804a8184385117e9181989736a62efbd1f89bab4f87296ba2768cc", "generator_version": "3.0"}
{"id": "v3_val_00001565", "prompt": "Find x: 4x - 190 = x + 7", "solution_steps": ["Subtract x from both sides: 3x - 190 = 7", "Add 190 to both sides: 3x = 197", "Divide both sides by 3: x = 197/3"], "final_answer": "197/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 190 = x + 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 190, \"c\": 7}", "seed": "2501356155177829363", "semantic_fingerprint": "sha256:9f811c9060654693ed6232d5328e44117c1759eb00e73ff5c0c791468ee45365", "generator_version": "3.0"}
{"id": "v3_val_00001566", "prompt": "Evaluate: (8 - (-5)) * (0 - (-8) / 37)", "solution_steps": ["Subtract: 8 - (-5) = 13", "Divide: -8 / 37 = -8/37", "Subtract: 0 - (-8/37) = 8/37", "Multiply: 13 * (8/37) = 104/37"], "final_answer": "104/37", "answer_type": "rational", "kind": "expression", "math_text": "(8 - (-5)) * (0 - (-8) / 37)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -5, \"c\": 0, \"d\": -8, \"e\": 37}", "seed": "17644773978138865325", "semantic_fingerprint": "sha256:1f2f4fe87ee4d0a01e7d1db789c28ea10a4bc79862b60eb1b46b2b4324b02cdd", "generator_version": "3.0"}
{"id": "v3_val_00001567", "prompt": "Solve for x: 12(x + 888) = 9x", "solution_steps": ["Expand: 12x + 10656 = 9x", "Subtract 9x from both sides: 3x + 10656 = 0", "Subtract 10656 from both sides: 3x = -10656", "Divide both sides by 3: x = -3552"], "final_answer": "-3552", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 888) = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 888, \"c\": 9}", "seed": "3683457669128646973", "semantic_fingerprint": "sha256:1cc010966551d24f24316b14f21b4da4385a0f9acb33bcf9cad06863777ae4c5", "generator_version": "3.0"}
{"id": "v3_val_00001568", "prompt": "What value of x satisfies 2(x + 29) - 3 = -5(x + 72) + 303?", "solution_steps": ["Expand: 2x + 58 - 3 = -5(x + 72) + 303", "Expand: 2x + 58 - 3 = -5x - 360 + 303", "Combine constants: 2x + 55 = -5x - 360 + 303", "Combine constants: 2x + 55 = -5x - 57", "Add 5x to both sides: 7x + 55 = -57", "Subtract 55 from both sides: 7x = -112", "Divide both sides by 7: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 29) - 3 = -5(x + 72) + 303", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 29, \"c\": 3, \"d\": -5, \"e\": 72, \"g\": 303, \"x\": -16}", "seed": "9108584897701248814", "semantic_fingerprint": "sha256:fd58d78aea9943b8a061cd111e776659c2f422173f76c431a4baf4741c91d7fd", "generator_version": "3.0"}
{"id": "v3_val_00001569", "prompt": "What is 8 / (-7 - (-30))?", "solution_steps": ["Subtract: -7 - (-30) = 23", "Divide: 8 / 23 = 8/23"], "final_answer": "8/23", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-7 - (-30))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -7, \"c\": -30}", "seed": "16895345611275465434", "semantic_fingerprint": "sha256:0a80c0c3b32031bda7e92393158f9f3967398d3bd42fb492f880e3659912324a", "generator_version": "3.0"}
{"id": "v3_val_00001570", "prompt": "Find x: x = 8(x + 4) + 9", "solution_steps": ["Expand: x = 8x + 32 + 9", "Combine constants: x = 8x + 41", "Subtract 8x from both sides: -7x = 41", "Divide both sides by -7: x = -41/7"], "final_answer": "-41/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 8(x + 4) + 9", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 9}", "seed": "17129722804134139715", "semantic_fingerprint": "sha256:355f77981e87e6911a0b4f5cc1a40a4b19dedb5d59afed15f77b15640b2d137d", "generator_version": "3.0"}
{"id": "v3_val_00001571", "prompt": "Calculate: 54 + (9 + 33)", "solution_steps": ["Add: 9 + 33 = 42", "Add: 54 + 42 = 96"], "final_answer": "96", "answer_type": "integer", "kind": "expression", "math_text": "54 + (9 + 33)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 9, \"c\": 33}", "seed": "6384089093217750427", "semantic_fingerprint": "sha256:8b527c4e6027b30ca7f0a52f74f9751a3ce50a7463aedfdf15c552bec9e7dc3d", "generator_version": "3.0"}
{"id": "v3_val_00001572", "prompt": "What value of x satisfies x + 1 = 10x + 154?", "solution_steps": ["Subtract 10x from both sides: -9x + 1 = 154", "Subtract 1 from both sides: -9x = 153", "Divide both sides by -9: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1 = 10x + 154", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 10, \"d\": 154, \"x\": -17}", "seed": "10553170649786409534", "semantic_fingerprint": "sha256:8a5e9b81c4d1cf1c5fc9f768da96f62f45dd98074456d293c0c11c4bbe3fba28", "generator_version": "3.0"}
{"id": "v3_val_00001573", "prompt": "What is (-4 - 5) * 536?", "solution_steps": ["Subtract: -4 - 5 = -9", "Multiply: -9 * 536 = -4824"], "final_answer": "-4824", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - 5) * 536", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 536}", "seed": "16724280998046804055", "semantic_fingerprint": "sha256:6d281385a9e913b4665595fa2b8ddf344c575997695713954835f9c60fb74f52", "generator_version": "3.0"}
{"id": "v3_val_00001574", "prompt": "Calculate: -473 * (-53)", "solution_steps": ["Multiply: -473 * (-53) = 25069"], "final_answer": "25069", "answer_type": "integer", "kind": "expression", "math_text": "-473 * (-53)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -473, \"b\": -53}", "seed": "5155542476896708539", "semantic_fingerprint": "sha256:c715bc151e430e26e5b2c50a8278ee0a055337e14b34a2cfa7dce9a4c09e98b3", "generator_version": "3.0"}
{"id": "v3_val_00001575", "prompt": "Find x: x = 7(x - 29)", "solution_steps": ["Expand: x = 7x - 203", "Subtract 7x from both sides: -6x = -203", "Divide both sides by -6: x = 203/6"], "final_answer": "203/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x - 29)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 29}", "seed": "5294948561614950883", "semantic_fingerprint": "sha256:43fa9e94f7b7f57e4bb11b32b0370390c225132ebb42a464f8fa2edec788f592", "generator_version": "3.0"}
{"id": "v3_val_00001576", "prompt": "What is -57 / (-9) - (82 - (-76) + (-810) + (-45))?", "solution_steps": ["Divide: -57 / (-9) = 19/3", "Subtract: 82 - (-76) = 158", "Add: 158 + (-810) = -652", "Add: -652 + (-45) = -697", "Subtract: 19/3 - (-697) = 2110/3"], "final_answer": "2110/3", "answer_type": "rational", "kind": "expression", "math_text": "-57 / (-9) - (82 - (-76) + (-810) + (-45))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ (+ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -9, \"c\": 82, \"d\": -76, \"e\": -810, \"f\": -45}", "seed": "13581175229553109739", "semantic_fingerprint": "sha256:6da6dd3a2c98dbc32fefbd791a39b1ae8890d7784b46126433b2f85094caae2e", "generator_version": "3.0"}
{"id": "v3_val_00001577", "prompt": "What value of x satisfies -3(x + 14) - 186 = 4(x - 50)?", "solution_steps": ["Expand: -3x - 42 - 186 = 4(x - 50)", "Expand: -3x - 42 - 186 = 4x - 200", "Combine constants: -3x - 228 = 4x - 200", "Subtract 4x from both sides: -7x - 228 = -200", "Add 228 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 + 14) - 186 = 4(x - 50)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 14, \"c\": 4, \"d\": 50, \"f\": -186, \"x\": -4}", "seed": "13926500312789071320", "semantic_fingerprint": "sha256:6bcf0c4535b93a242ca3c54af504cfeddcc6f0f3b16b21a07e5289bf952637d0", "generator_version": "3.0"}
{"id": "v3_val_00001578", "prompt": "What is -8 + 372 - (987 + (-3)) / 96?", "solution_steps": ["Add: -8 + 372 = 364", "Add: 987 + (-3) = 984", "Divide: 984 / 96 = 41/4", "Subtract: 364 - 41/4 = 1415/4"], "final_answer": "1415/4", "answer_type": "rational", "kind": "expression", "math_text": "-8 + 372 - (987 + (-3)) / 96", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 372, \"c\": 987, \"d\": -3, \"e\": 96}", "seed": "3095798660621548038", "semantic_fingerprint": "sha256:545794792b908de3304bea865d68df2f882d3efa2667e4c896a494620fc35a87", "generator_version": "3.0"}
{"id": "v3_val_00001579", "prompt": "Find x: 11(x - 33) - 6 = -5(x + 2) - 327", "solution_steps": ["Expand: 11x - 363 - 6 = -5(x + 2) - 327", "Expand: 11x - 363 - 6 = -5x - 10 - 327", "Combine constants: 11x - 369 = -5x - 10 - 327", "Combine constants: 11x - 369 = -5x - 337", "Add 5x to both sides: 16x - 369 = -337", "Add 369 to both sides: 16x = 32", "Divide both sides by 16: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 33) - 6 = -5(x + 2) - 327", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 33, \"c\": 6, \"d\": -5, \"e\": 2, \"g\": -327, \"x\": 2}", "seed": "15840237392428570735", "semantic_fingerprint": "sha256:88f295edf779e18ca7c17bc62848a4c36093712d494016cb0608bc54794ca3f1", "generator_version": "3.0"}
{"id": "v3_val_00001580", "prompt": "Solve for x: 7(x - 12) = 2(x + 4) - 167", "solution_steps": ["Expand: 7x - 84 = 2(x + 4) - 167", "Expand: 7x - 84 = 2x + 8 - 167", "Combine constants: 7x - 84 = 2x - 159", "Subtract 2x from both sides: 5x - 84 = -159", "Add 84 to both sides: 5x = -75", "Divide both sides by 5: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 12) = 2(x + 4) - 167", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 2, \"d\": 4, \"f\": -167, \"x\": -15}", "seed": "17228927157287373942", "semantic_fingerprint": "sha256:943fba02b9b064d524ad9680d5d6cdbd95a04352d8d78b58a2218a9404a3d04f", "generator_version": "3.0"}
{"id": "v3_val_00001581", "prompt": "Compute: 93 - 1 + 159", "solution_steps": ["Subtract: 93 - 1 = 92", "Add: 92 + 159 = 251"], "final_answer": "251", "answer_type": "integer", "kind": "expression", "math_text": "93 - 1 + 159", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 1, \"c\": 159}", "seed": "14113518365532094683", "semantic_fingerprint": "sha256:895ee9644b05b5c7bebcb7c8e723bf0595df1cd384d27b8a4dc186cd1357643d", "generator_version": "3.0"}
{"id": "v3_val_00001582", "prompt": "Solve the equation -5x + 640 = 10(x + 48) + 214 for x.", "solution_steps": ["Expand: -5x + 640 = 10x + 480 + 214", "Combine constants: -5x + 640 = 10x + 694", "Subtract 10x from both sides: -15x + 640 = 694", "Subtract 640 from both sides: -15x = 54", "Divide both sides by -15: x = -18/5"], "final_answer": "-18/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x + 640 = 10(x + 48) + 214", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 640, \"c\": 10, \"d\": 48, \"e\": 214}", "seed": "14412915981954926868", "semantic_fingerprint": "sha256:e35823fff1bde519c72ad37dabeeeb0f4d2f54d5a3b564acc955d859be7ff21c", "generator_version": "3.0"}
{"id": "v3_val_00001583", "prompt": "What is -66 + (91 - 5 / 42)?", "solution_steps": ["Divide: 5 / 42 = 5/42", "Subtract: 91 - 5/42 = 3817/42", "Add: -66 + 3817/42 = 1045/42"], "final_answer": "1045/42", "answer_type": "rational", "kind": "expression", "math_text": "-66 + (91 - 5 / 42)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 91, \"c\": 5, \"d\": 42}", "seed": "2215123716570574316", "semantic_fingerprint": "sha256:9d90bb87433078cd55bed9facd91180ca23da7fe497f85a60fc96c164f148360", "generator_version": "3.0"}
{"id": "v3_val_00001584", "prompt": "Find x: -12(x + 8) - 512 = -83", "solution_steps": ["Expand: -12x - 96 - 512 = -83", "Combine constants: -12x - 608 = -83", "Add 608 to both sides: -12x = 525", "Divide both sides by -12: x = -175/4"], "final_answer": "-175/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 8) - 512 = -83", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 8, \"c\": 512, \"d\": -83}", "seed": "18038543421259744009", "semantic_fingerprint": "sha256:9adb1e64b190e4d95f832c7f9ca9f70ebe2cf0d7f84896eb9dc838e78af6355f", "generator_version": "3.0"}
{"id": "v3_val_00001585", "prompt": "What value of x satisfies -12(x - 51) = x + 625?", "solution_steps": ["Expand: -12x + 612 = x + 625", "Subtract x from both sides: -13x + 612 = 625", "Subtract 612 from both sides: -13x = 13", "Divide both sides by -13: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 51) = x + 625", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 51, \"d\": 625, \"x\": -1}", "seed": "17394785109533284658", "semantic_fingerprint": "sha256:8c729a6e834cbf5740e6d8c81e1af32106c17be882c7ef9f1cd6db72662d73a2", "generator_version": "3.0"}
{"id": "v3_val_00001586", "prompt": "Calculate: 73 / 661", "solution_steps": ["Divide: 73 / 661 = 73/661"], "final_answer": "73/661", "answer_type": "rational", "kind": "expression", "math_text": "73 / 661", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 661}", "seed": "6551155249410018872", "semantic_fingerprint": "sha256:22b07e4836310f291fb978476aac7cd2dbf8af09b45f2130a47ea6856fd00e67", "generator_version": "3.0"}
{"id": "v3_val_00001587", "prompt": "Solve for x: x + 3 = 8(x + 1) + 114", "solution_steps": ["Expand: x + 3 = 8x + 8 + 114", "Combine constants: x + 3 = 8x + 122", "Subtract 8x from both sides: -7x + 3 = 122", "Subtract 3 from both sides: -7x = 119", "Divide both sides by -7: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = 8(x + 1) + 114", "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, \"e\": 114, \"x\": -17}", "seed": "7930534317302326772", "semantic_fingerprint": "sha256:92387b6ed8c7eea90633c1a718bc9584f62f6806288491748683a799b6fee826", "generator_version": "3.0"}
{"id": "v3_val_00001588", "prompt": "Calculate: 3 * (11 * 2) - (48 + 280)", "solution_steps": ["Multiply: 11 * 2 = 22", "Multiply: 3 * 22 = 66", "Add: 48 + 280 = 328", "Subtract: 66 - 328 = -262"], "final_answer": "-262", "answer_type": "integer", "kind": "expression", "math_text": "3 * (11 * 2) - (48 + 280)", "variable": null, "family": "expression_4op", "shape": "(- (* n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 11, \"c\": 2, \"d\": 48, \"e\": 280}", "seed": "16639294058243725660", "semantic_fingerprint": "sha256:e2ab5459e20798198e52cd5edba97a99e97f2a8406feb3d687289f4b05e76447", "generator_version": "3.0"}
{"id": "v3_val_00001589", "prompt": "What value of x satisfies x - 22 = 2(x - 2)?", "solution_steps": ["Expand: x - 22 = 2x - 4", "Subtract 2x from both sides: -x - 22 = -4", "Add 22 to both sides: -x = 18", "Divide both sides by -1: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 22 = 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\": -22, \"x\": -18}", "seed": "17337328241082021691", "semantic_fingerprint": "sha256:216aa952836d10adde9fa85d334ec8bd85931280b96cd5962bd296d42907dc98", "generator_version": "3.0"}
{"id": "v3_val_00001590", "prompt": "What is -4 / 446 * 53?", "solution_steps": ["Divide: -4 / 446 = -2/223", "Multiply: (-2/223) * 53 = -106/223"], "final_answer": "-106/223", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 446 * 53", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 446, \"c\": 53}", "seed": "9284163536668819865", "semantic_fingerprint": "sha256:1130af6713e031cfa1c0b061d712c765f5c507997fcdd49509b67aa54ca427ef", "generator_version": "3.0"}
{"id": "v3_val_00001591", "prompt": "What value of x satisfies -6x = x - 253?", "solution_steps": ["Subtract x from both sides: -7x = -253", "Divide both sides by -7: x = 253/7"], "final_answer": "253/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x = x - 253", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 253}", "seed": "14954888756831028778", "semantic_fingerprint": "sha256:955cbaac966c7309ed860b5fc6945da078b7179fa8449eae1fb959e126df0c4e", "generator_version": "3.0"}
{"id": "v3_val_00001592", "prompt": "Compute: 7 - (-3) / (53 - 702)", "solution_steps": ["Subtract: 53 - 702 = -649", "Divide: -3 / (-649) = 3/649", "Subtract: 7 - 3/649 = 4540/649"], "final_answer": "4540/649", "answer_type": "rational", "kind": "expression", "math_text": "7 - (-3) / (53 - 702)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -3, \"c\": 53, \"d\": 702}", "seed": "15346831239434686762", "semantic_fingerprint": "sha256:5b985fc9d4582e6cddcb5596b9bab1a7df41374c17628b1281c0b72781cff130", "generator_version": "3.0"}
{"id": "v3_val_00001593", "prompt": "Compute: 26 - (-49) * 479 / (-7)", "solution_steps": ["Multiply: -49 * 479 = -23471", "Divide: -23471 / (-7) = 3353", "Subtract: 26 - 3353 = -3327"], "final_answer": "-3327", "answer_type": "integer", "kind": "expression", "math_text": "26 - (-49) * 479 / (-7)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -49, \"c\": 479, \"d\": -7}", "seed": "2405201267133769372", "semantic_fingerprint": "sha256:a8d726708f46f8cf456bd8a090b80c7273a7556c06b1ad65e550281876dbdef2", "generator_version": "3.0"}
{"id": "v3_val_00001594", "prompt": "Calculate: 1 - (-99)", "solution_steps": ["Subtract: 1 - (-99) = 100"], "final_answer": "100", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-99)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -99}", "seed": "8922606325836350897", "semantic_fingerprint": "sha256:9757ab20407a879dd5f09c7f36e7050c7c08f179dcb6aac5fe941ed29fb03001", "generator_version": "3.0"}
{"id": "v3_val_00001595", "prompt": "Calculate: 830 + 96 + 104 + 2", "solution_steps": ["Add: 830 + 96 = 926", "Add: 926 + 104 = 1030", "Add: 1030 + 2 = 1032"], "final_answer": "1032", "answer_type": "integer", "kind": "expression", "math_text": "830 + 96 + 104 + 2", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 830, \"b\": 96, \"c\": 104, \"d\": 2}", "seed": "615211276619779658", "semantic_fingerprint": "sha256:4df558666504d76d61949a0deef1426bd55bbbd4755a09fb8d93eb552819fa16", "generator_version": "3.0"}
{"id": "v3_val_00001596", "prompt": "Compute: 1 / 3 * (-109) - (-794)", "solution_steps": ["Divide: 1 / 3 = 1/3", "Multiply: (1/3) * (-109) = -109/3", "Subtract: -109/3 - (-794) = 2273/3"], "final_answer": "2273/3", "answer_type": "rational", "kind": "expression", "math_text": "1 / 3 * (-109) - (-794)", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 3, \"c\": -109, \"d\": -794}", "seed": "6844097976832523992", "semantic_fingerprint": "sha256:85c7f87a47c00d905037d9194fa6186fca1d0cad291fa967c61799c8682923f6", "generator_version": "3.0"}
{"id": "v3_val_00001597", "prompt": "Solve the equation 10(x - 46) + 32 = 0 for x.", "solution_steps": ["Expand: 10x - 460 + 32 = 0", "Combine constants: 10x - 428 = 0", "Add 428 to both sides: 10x = 428", "Divide both sides by 10: x = 214/5"], "final_answer": "214/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 46) + 32 = 0", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 46, \"c\": 32, \"d\": 0}", "seed": "16171359044142848024", "semantic_fingerprint": "sha256:193d28fd9941991afcf02214b34a049a7db60b7e974ed90e158adfe8ef10ba33", "generator_version": "3.0"}
{"id": "v3_val_00001598", "prompt": "Evaluate: -86 + (-599) + 58", "solution_steps": ["Add: -86 + (-599) = -685", "Add: -685 + 58 = -627"], "final_answer": "-627", "answer_type": "integer", "kind": "expression", "math_text": "-86 + (-599) + 58", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -599, \"c\": 58}", "seed": "6768620747925036342", "semantic_fingerprint": "sha256:2d5ac0de7b1ebdd486214e758e3f76523b6cb1f1c205ea4d4353dbcdf1343f3b", "generator_version": "3.0"}
{"id": "v3_val_00001599", "prompt": "Compute: -8 + 61 - 863 * 36", "solution_steps": ["Add: -8 + 61 = 53", "Multiply: 863 * 36 = 31068", "Subtract: 53 - 31068 = -31015"], "final_answer": "-31015", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 61 - 863 * 36", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 61, \"c\": 863, \"d\": 36}", "seed": "12236023877954436206", "semantic_fingerprint": "sha256:6c8136cd848a898df819164907bb4d884abb5de943c52e4f6a489984cf21ed0d", "generator_version": "3.0"}
{"id": "v3_val_00001600", "prompt": "Solve the equation 4(x - 7) = 5(x - 801) for x.", "solution_steps": ["Expand: 4x - 28 = 5(x - 801)", "Expand: 4x - 28 = 5x - 4005", "Subtract 5x from both sides: -x - 28 = -4005", "Add 28 to both sides: -x = -3977", "Divide both sides by -1: x = 3977"], "final_answer": "3977", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 7) = 5(x - 801)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 5, \"d\": 801}", "seed": "7219849970426770400", "semantic_fingerprint": "sha256:711e76e049ff0d2fcb28bda5c77340fe2508c71ae03e1346772061c256febad5", "generator_version": "3.0"}
{"id": "v3_val_00001601", "prompt": "What is 37 / 713?", "solution_steps": ["Divide: 37 / 713 = 37/713"], "final_answer": "37/713", "answer_type": "rational", "kind": "expression", "math_text": "37 / 713", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 713}", "seed": "3006963927992919661", "semantic_fingerprint": "sha256:667f25847601986eb3ced858012a7a49a0bc9c19383df4515e3f4020af320782", "generator_version": "3.0"}
{"id": "v3_val_00001602", "prompt": "Compute: 665 + 8 / 87 - (-8 - 13) + 82", "solution_steps": ["Divide: 8 / 87 = 8/87", "Add: 665 + 8/87 = 57863/87", "Subtract: -8 - 13 = -21", "Subtract: 57863/87 - (-21) = 59690/87", "Add: 59690/87 + 82 = 66824/87"], "final_answer": "66824/87", "answer_type": "rational", "kind": "expression", "math_text": "665 + 8 / 87 - (-8 - 13) + 82", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n (/ n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 665, \"b\": 8, \"c\": 87, \"d\": -8, \"e\": 13, \"f\": 82}", "seed": "15586954215450741693", "semantic_fingerprint": "sha256:adf617425c7c2ca31e8955a49e1eb75febe2eeea95dc6556c02e7ae6e102cb7e", "generator_version": "3.0"}
{"id": "v3_val_00001603", "prompt": "Compute: (686 - (-53)) * (-11 - (-53))", "solution_steps": ["Subtract: 686 - (-53) = 739", "Subtract: -11 - (-53) = 42", "Multiply: 739 * 42 = 31038"], "final_answer": "31038", "answer_type": "integer", "kind": "expression", "math_text": "(686 - (-53)) * (-11 - (-53))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 686, \"b\": -53, \"c\": -11, \"d\": -53}", "seed": "10008477111131501041", "semantic_fingerprint": "sha256:de074814056d373a7594acf3c42645fd1a120e3bbf9d58b7ea825287c7bbd5fe", "generator_version": "3.0"}
{"id": "v3_val_00001604", "prompt": "What is 9 - (9 + (-8 - (-91 + 528)))?", "solution_steps": ["Add: -91 + 528 = 437", "Subtract: -8 - 437 = -445", "Add: 9 + (-445) = -436", "Subtract: 9 - (-436) = 445"], "final_answer": "445", "answer_type": "integer", "kind": "expression", "math_text": "9 - (9 + (-8 - (-91 + 528)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (- n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": -8, \"d\": -91, \"e\": 528}", "seed": "14119920844442402007", "semantic_fingerprint": "sha256:5b2dfc1ccc582566ccf6192b1550df1a1b8cb70ea227e33f12c2d71c0b72828e", "generator_version": "3.0"}
{"id": "v3_val_00001605", "prompt": "What is -576 / (339 - 935) - (-174)?", "solution_steps": ["Subtract: 339 - 935 = -596", "Divide: -576 / (-596) = 144/149", "Subtract: 144/149 - (-174) = 26070/149"], "final_answer": "26070/149", "answer_type": "rational", "kind": "expression", "math_text": "-576 / (339 - 935) - (-174)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -576, \"b\": 339, \"c\": 935, \"d\": -174}", "seed": "13969428358296913364", "semantic_fingerprint": "sha256:c30326378e37217e2c5471b2ff2e3b514d4af7528fac149c3102dfb6e336aa8d", "generator_version": "3.0"}
{"id": "v3_val_00001606", "prompt": "Find x: 10x - 186 = -6x", "solution_steps": ["Add 6x to both sides: 16x - 186 = 0", "Add 186 to both sides: 16x = 186", "Divide both sides by 16: x = 93/8"], "final_answer": "93/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 186 = -6x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 186, \"c\": -6}", "seed": "2051591266496495179", "semantic_fingerprint": "sha256:ebe016c4caacfa7c67e948a0c773ebd32a93e1d1b697e875ee2144293820485c", "generator_version": "3.0"}
{"id": "v3_val_00001607", "prompt": "Calculate: -25 * (-395 * 51)", "solution_steps": ["Multiply: -395 * 51 = -20145", "Multiply: -25 * (-20145) = 503625"], "final_answer": "503625", "answer_type": "integer", "kind": "expression", "math_text": "-25 * (-395 * 51)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -395, \"c\": 51}", "seed": "512922339246141662", "semantic_fingerprint": "sha256:21465aaa7204873481581c5328db34759245c30937c6b2ab1f1612b0a8b51fd2", "generator_version": "3.0"}
{"id": "v3_val_00001608", "prompt": "Solve for x: x = -3(x - 95)", "solution_steps": ["Expand: x = -3x + 285", "Add 3x to both sides: 4x = 285", "Divide both sides by 4: x = 285/4"], "final_answer": "285/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -3(x - 95)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 95}", "seed": "16846113238748497470", "semantic_fingerprint": "sha256:2257a04e3bcde819a28c86c505fa7dd3bf16ec0e94754e1710d9adfe26766e05", "generator_version": "3.0"}
{"id": "v3_val_00001609", "prompt": "What is 143 + 19?", "solution_steps": ["Add: 143 + 19 = 162"], "final_answer": "162", "answer_type": "integer", "kind": "expression", "math_text": "143 + 19", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 143, \"b\": 19}", "seed": "16683105559659008269", "semantic_fingerprint": "sha256:ebe745ba1917869654c96de8d844277981c7dd24c75654535ff5706dda3f6dfe", "generator_version": "3.0"}
{"id": "v3_val_00001610", "prompt": "Evaluate: -80 + (-7 - 18)", "solution_steps": ["Subtract: -7 - 18 = -25", "Add: -80 + (-25) = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "expression", "math_text": "-80 + (-7 - 18)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -7, \"c\": 18}", "seed": "7638147447260241924", "semantic_fingerprint": "sha256:46427acaf08bb8a4b9439bc5fdf338f47afd93df6d9c047b58bfbc0dc3837769", "generator_version": "3.0"}
{"id": "v3_val_00001611", "prompt": "Compute: (-463 / 31 - (-879) + (-73 - 51)) / 5", "solution_steps": ["Divide: -463 / 31 = -463/31", "Subtract: -463/31 - (-879) = 26786/31", "Subtract: -73 - 51 = -124", "Add: 26786/31 + (-124) = 22942/31", "Divide: (22942/31) / 5 = 22942/155"], "final_answer": "22942/155", "answer_type": "rational", "kind": "expression", "math_text": "(-463 / 31 - (-879) + (-73 - 51)) / 5", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- (/ n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -463, \"b\": 31, \"c\": -879, \"d\": -73, \"e\": 51, \"f\": 5}", "seed": "404457750279210161", "semantic_fingerprint": "sha256:4d3b7cbb79703ec76ec68f6f44b53b3a57c4617bb513587d0fd06d926f8aefdd", "generator_version": "3.0"}
{"id": "v3_val_00001612", "prompt": "Evaluate: (0 + (-93)) / ((-46 + 14) * (-19))", "solution_steps": ["Add: 0 + (-93) = -93", "Add: -46 + 14 = -32", "Multiply: -32 * (-19) = 608", "Divide: -93 / 608 = -93/608"], "final_answer": "-93/608", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-93)) / ((-46 + 14) * (-19))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -93, \"c\": -46, \"d\": 14, \"e\": -19}", "seed": "3313660842869387289", "semantic_fingerprint": "sha256:d91cc6799e91f98f064f9d0212036852b3077deb605faeacb3bc87bab2e056a5", "generator_version": "3.0"}
{"id": "v3_val_00001613", "prompt": "Solve for x: -11(x + 75) = -8(x - 83)", "solution_steps": ["Expand: -11x - 825 = -8(x - 83)", "Expand: -11x - 825 = -8x + 664", "Add 8x to both sides: -3x - 825 = 664", "Add 825 to both sides: -3x = 1489", "Divide both sides by -3: x = -1489/3"], "final_answer": "-1489/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 75) = -8(x - 83)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 75, \"c\": -8, \"d\": 83}", "seed": "8700466043242570205", "semantic_fingerprint": "sha256:f5f781bfd98af0eb9a2de2db24b2db4f689fc04f94c920badb97b6059281a81a", "generator_version": "3.0"}
{"id": "v3_val_00001614", "prompt": "What is 6 * (-20) * (34 - (-876) + (-836))?", "solution_steps": ["Multiply: 6 * (-20) = -120", "Subtract: 34 - (-876) = 910", "Add: 910 + (-836) = 74", "Multiply: -120 * 74 = -8880"], "final_answer": "-8880", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-20) * (34 - (-876) + (-836))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -20, \"c\": 34, \"d\": -876, \"e\": -836}", "seed": "17736450588914547400", "semantic_fingerprint": "sha256:cb4a75e0e481a623261f11cbe470125dc0a008c1ead2204593fe9dca821b8717", "generator_version": "3.0"}
{"id": "v3_val_00001615", "prompt": "What is (-69 + 18) / 2?", "solution_steps": ["Add: -69 + 18 = -51", "Divide: -51 / 2 = -51/2"], "final_answer": "-51/2", "answer_type": "rational", "kind": "expression", "math_text": "(-69 + 18) / 2", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 18, \"c\": 2}", "seed": "17519351162582517481", "semantic_fingerprint": "sha256:b9635196450376cb36e405f2c90822d0477e6c9d204a48818a5cceb8ec9af799", "generator_version": "3.0"}
{"id": "v3_val_00001616", "prompt": "Calculate: (-4 + (6 + 97)) * (-5 * (-3))", "solution_steps": ["Add: 6 + 97 = 103", "Add: -4 + 103 = 99", "Multiply: -5 * (-3) = 15", "Multiply: 99 * 15 = 1485"], "final_answer": "1485", "answer_type": "integer", "kind": "expression", "math_text": "(-4 + (6 + 97)) * (-5 * (-3))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 97, \"d\": -5, \"e\": -3}", "seed": "5865377937039160241", "semantic_fingerprint": "sha256:8a4253a79ea3dd515389daa03c62b26969b025f9f6a75755551dbd65ce528ab6", "generator_version": "3.0"}
{"id": "v3_val_00001617", "prompt": "Compute: (33 - 366 - (-1)) / (217 / 3)", "solution_steps": ["Subtract: 33 - 366 = -333", "Subtract: -333 - (-1) = -332", "Divide: 217 / 3 = 217/3", "Divide: -332 / (217/3) = -996/217"], "final_answer": "-996/217", "answer_type": "rational", "kind": "expression", "math_text": "(33 - 366 - (-1)) / (217 / 3)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 366, \"c\": -1, \"d\": 217, \"e\": 3}", "seed": "17199038924213265220", "semantic_fingerprint": "sha256:fc3906731fcbf7eed430ca6f57f8a433248993c148f1f1faee15581f8b7dea96", "generator_version": "3.0"}
{"id": "v3_val_00001618", "prompt": "What is (-294 + (-5) / (-19)) * (35 + (-48))?", "solution_steps": ["Divide: -5 / (-19) = 5/19", "Add: -294 + 5/19 = -5581/19", "Add: 35 + (-48) = -13", "Multiply: (-5581/19) * (-13) = 72553/19"], "final_answer": "72553/19", "answer_type": "rational", "kind": "expression", "math_text": "(-294 + (-5) / (-19)) * (35 + (-48))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -294, \"b\": -5, \"c\": -19, \"d\": 35, \"e\": -48}", "seed": "6204164057537758906", "semantic_fingerprint": "sha256:aaf1b8cfedfbf2e338cf6a3e220ad2f2019a48f7a2ecdb0fa30389c092f55f87", "generator_version": "3.0"}
{"id": "v3_val_00001619", "prompt": "What is 24 + (-230)?", "solution_steps": ["Add: 24 + (-230) = -206"], "final_answer": "-206", "answer_type": "integer", "kind": "expression", "math_text": "24 + (-230)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -230}", "seed": "13673738123035994524", "semantic_fingerprint": "sha256:7ed04bc8ffcff434c521b278a6be3d088a7068797a47d2f582865189c8a97263", "generator_version": "3.0"}
{"id": "v3_val_00001620", "prompt": "Solve the equation 3x = 9(x - 5) - 33 for x.", "solution_steps": ["Expand: 3x = 9x - 45 - 33", "Combine constants: 3x = 9x - 78", "Subtract 9x from both sides: -6x = -78", "Divide both sides by -6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 9(x - 5) - 33", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 5, \"e\": -33, \"x\": 13}", "seed": "226742824601662266", "semantic_fingerprint": "sha256:a40d790733e9454acdf626dfe39039687a04546c6e6954ddbfae632bd2d7318c", "generator_version": "3.0"}
{"id": "v3_val_00001621", "prompt": "Compute: 35 + (-83)", "solution_steps": ["Add: 35 + (-83) = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "35 + (-83)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -83}", "seed": "11872745974250230685", "semantic_fingerprint": "sha256:33821a7590d61da8f4079ee6a39fa025af3b8e2d46ed348b62152003506f42e6", "generator_version": "3.0"}
{"id": "v3_val_00001622", "prompt": "What value of x satisfies 6(x + 174) = 11(x + 4) + 965?", "solution_steps": ["Expand: 6x + 1044 = 11(x + 4) + 965", "Expand: 6x + 1044 = 11x + 44 + 965", "Combine constants: 6x + 1044 = 11x + 1009", "Subtract 11x from both sides: -5x + 1044 = 1009", "Subtract 1044 from both sides: -5x = -35", "Divide both sides by -5: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 174) = 11(x + 4) + 965", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 174, \"c\": 11, \"d\": 4, \"f\": 965, \"x\": 7}", "seed": "11800528260118001029", "semantic_fingerprint": "sha256:3a738d00d62dec74a5eece0fd6f24c62637c7e7e766b5785d9b7186a7db48fba", "generator_version": "3.0"}
{"id": "v3_val_00001623", "prompt": "What is 42 * (55 - (-844) - (-496))?", "solution_steps": ["Subtract: 55 - (-844) = 899", "Subtract: 899 - (-496) = 1395", "Multiply: 42 * 1395 = 58590"], "final_answer": "58590", "answer_type": "integer", "kind": "expression", "math_text": "42 * (55 - (-844) - (-496))", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 55, \"c\": -844, \"d\": -496}", "seed": "14381985122702442968", "semantic_fingerprint": "sha256:3c95879e307330337f2e87f97d649efe3dca7db7a0765f35290024ea67ebe729", "generator_version": "3.0"}
{"id": "v3_val_00001624", "prompt": "Solve the equation 12(x - 29) - 72 = 5(x + 7) - 483 for x.", "solution_steps": ["Expand: 12x - 348 - 72 = 5(x + 7) - 483", "Expand: 12x - 348 - 72 = 5x + 35 - 483", "Combine constants: 12x - 420 = 5x + 35 - 483", "Combine constants: 12x - 420 = 5x - 448", "Subtract 5x from both sides: 7x - 420 = -448", "Add 420 to both sides: 7x = -28", "Divide both sides by 7: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 29) - 72 = 5(x + 7) - 483", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 29, \"c\": 72, \"d\": 5, \"e\": 7, \"g\": -483, \"x\": -4}", "seed": "5506459346963769661", "semantic_fingerprint": "sha256:ba8156216041545a85f0f3fa4af882579e84bad611beaecc79b7bf4f59581441", "generator_version": "3.0"}
{"id": "v3_val_00001625", "prompt": "Compute: -66 - (68 * 219 - (-853 - 7))", "solution_steps": ["Multiply: 68 * 219 = 14892", "Subtract: -853 - 7 = -860", "Subtract: 14892 - (-860) = 15752", "Subtract: -66 - 15752 = -15818"], "final_answer": "-15818", "answer_type": "integer", "kind": "expression", "math_text": "-66 - (68 * 219 - (-853 - 7))", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 68, \"c\": 219, \"d\": -853, \"e\": 7}", "seed": "5931896306380933532", "semantic_fingerprint": "sha256:16ad47304838b752914c26b41f4b79be4f59429eb10c7496473ab3148a552dee", "generator_version": "3.0"}
{"id": "v3_val_00001626", "prompt": "Evaluate: 96 - (46 + (-59 + 39))", "solution_steps": ["Add: -59 + 39 = -20", "Add: 46 + (-20) = 26", "Subtract: 96 - 26 = 70"], "final_answer": "70", "answer_type": "integer", "kind": "expression", "math_text": "96 - (46 + (-59 + 39))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 46, \"c\": -59, \"d\": 39}", "seed": "2159855725041293203", "semantic_fingerprint": "sha256:b6dae292ce1ed8f0e18d10fd68ddf925ef973a0cc706a875ffdcfcae1e4e862b", "generator_version": "3.0"}
{"id": "v3_val_00001627", "prompt": "Solve for x: 5(x - 4) + 29 = -16", "solution_steps": ["Expand: 5x - 20 + 29 = -16", "Combine constants: 5x + 9 = -16", "Subtract 9 from both sides: 5x = -25", "Divide both sides by 5: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 4) + 29 = -16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 29, \"e\": -16, \"x\": -5}", "seed": "1326098359072094460", "semantic_fingerprint": "sha256:8cf9d4bc0541227f6639e366f4663e452e878ada8f0f4d56d16e23f0f0d46f03", "generator_version": "3.0"}
{"id": "v3_val_00001628", "prompt": "Find x: x + 62 = 8(x - 8)", "solution_steps": ["Expand: x + 62 = 8x - 64", "Subtract 8x from both sides: -7x + 62 = -64", "Subtract 62 from both sides: -7x = -126", "Divide both sides by -7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 62 = 8(x - 8)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"d\": 62, \"x\": 18}", "seed": "9676293130912238558", "semantic_fingerprint": "sha256:a9176c713c5f39c087a0ece445e5cca1d40730965218fe2dde0503d637671100", "generator_version": "3.0"}
{"id": "v3_val_00001629", "prompt": "Evaluate: 572 / 99 + (-99) + (-1)", "solution_steps": ["Divide: 572 / 99 = 52/9", "Add: 52/9 + (-99) = -839/9", "Add: -839/9 + (-1) = -848/9"], "final_answer": "-848/9", "answer_type": "rational", "kind": "expression", "math_text": "572 / 99 + (-99) + (-1)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 572, \"b\": 99, \"c\": -99, \"d\": -1}", "seed": "13059109430640816716", "semantic_fingerprint": "sha256:eea13c86ce7c762183451afba805809b35f92f59774a82509393109709f3a30d", "generator_version": "3.0"}
{"id": "v3_val_00001630", "prompt": "Evaluate: 3 * (-97) - (-77) + (-9)", "solution_steps": ["Multiply: 3 * (-97) = -291", "Subtract: -291 - (-77) = -214", "Add: -214 + (-9) = -223"], "final_answer": "-223", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-97) - (-77) + (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -97, \"c\": -77, \"d\": -9}", "seed": "15071092701831461833", "semantic_fingerprint": "sha256:bfb85e2d9b9523381f7cbef37582fa95221b84e7ec7495a60e7d6cc9c3fab402", "generator_version": "3.0"}
{"id": "v3_val_00001631", "prompt": "What is 959 + (0 + (-95) * 50)?", "solution_steps": ["Multiply: -95 * 50 = -4750", "Add: 0 + (-4750) = -4750", "Add: 959 + (-4750) = -3791"], "final_answer": "-3791", "answer_type": "integer", "kind": "expression", "math_text": "959 + (0 + (-95) * 50)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 959, \"b\": 0, \"c\": -95, \"d\": 50}", "seed": "14616140160828226269", "semantic_fingerprint": "sha256:9f236df90d347ddd5956e0beb1a852e716ae8ec936f3adf1fef9fcd140fce460", "generator_version": "3.0"}
{"id": "v3_val_00001632", "prompt": "Calculate: (-512 + 96) / (-1 / (1 * (-25)))", "solution_steps": ["Add: -512 + 96 = -416", "Multiply: 1 * (-25) = -25", "Divide: -1 / (-25) = 1/25", "Divide: -416 / (1/25) = -10400"], "final_answer": "-10400", "answer_type": "integer", "kind": "expression", "math_text": "(-512 + 96) / (-1 / (1 * (-25)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -512, \"b\": 96, \"c\": -1, \"d\": 1, \"e\": -25}", "seed": "1731260024232794139", "semantic_fingerprint": "sha256:bd90a025c862872b2e8719a536239beed2de380d3ea5c218220dd9c50830a186", "generator_version": "3.0"}
{"id": "v3_val_00001633", "prompt": "Compute: -661 * (-227 * (-1))", "solution_steps": ["Multiply: -227 * (-1) = 227", "Multiply: -661 * 227 = -150047"], "final_answer": "-150047", "answer_type": "integer", "kind": "expression", "math_text": "-661 * (-227 * (-1))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -661, \"b\": -227, \"c\": -1}", "seed": "13867161570432205169", "semantic_fingerprint": "sha256:5c50cbf48d3a1ca5efbdbfddf147f6c495a7e11dd92f0b007cfec0d457d98280", "generator_version": "3.0"}
{"id": "v3_val_00001634", "prompt": "What is (6 * (-600) + 2 / (-8)) / (-41) + (-4)?", "solution_steps": ["Multiply: 6 * (-600) = -3600", "Divide: 2 / (-8) = -1/4", "Add: -3600 + (-1/4) = -14401/4", "Divide: (-14401/4) / (-41) = 14401/164", "Add: 14401/164 + (-4) = 13745/164"], "final_answer": "13745/164", "answer_type": "rational", "kind": "expression", "math_text": "(6 * (-600) + 2 / (-8)) / (-41) + (-4)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ (* n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -600, \"c\": 2, \"d\": -8, \"e\": -41, \"f\": -4}", "seed": "1881249987040527314", "semantic_fingerprint": "sha256:f4230b3098eb5f60886bd837c24b2ba928359963b971769a9c0302b70502373e", "generator_version": "3.0"}
{"id": "v3_val_00001635", "prompt": "Solve for x: 8x + 200 = x + 158", "solution_steps": ["Subtract x from both sides: 7x + 200 = 158", "Subtract 200 from both sides: 7x = -42", "Divide both sides by 7: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 200 = x + 158", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 200, \"d\": 158, \"x\": -6}", "seed": "12907061317380171770", "semantic_fingerprint": "sha256:d6f94f1d34d8fcc29482ed11f42b72a95f6824ee93c8d595a9ada8909d72efd9", "generator_version": "3.0"}
{"id": "v3_val_00001636", "prompt": "Compute: 75 - (2 + 129)", "solution_steps": ["Add: 2 + 129 = 131", "Subtract: 75 - 131 = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "expression", "math_text": "75 - (2 + 129)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 2, \"c\": 129}", "seed": "4428404197270432438", "semantic_fingerprint": "sha256:18bf12281b14e7753a86fe15489b82d0557b8514e8fcc96564470322c55441ec", "generator_version": "3.0"}
{"id": "v3_val_00001637", "prompt": "What value of x satisfies x + 9 = 11(x + 56)?", "solution_steps": ["Expand: x + 9 = 11x + 616", "Subtract 11x from both sides: -10x + 9 = 616", "Subtract 9 from both sides: -10x = 607", "Divide both sides by -10: x = -607/10"], "final_answer": "-607/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9 = 11(x + 56)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": 56}", "seed": "8909549939831985041", "semantic_fingerprint": "sha256:a93017a9a200b5164d380b8ab6cb8a539ac2c7e00014c6ec7d0a429404c1d2d9", "generator_version": "3.0"}
{"id": "v3_val_00001638", "prompt": "What value of x satisfies -9x + 120 = 12x - 382?", "solution_steps": ["Subtract 12x from both sides: -21x + 120 = -382", "Subtract 120 from both sides: -21x = -502", "Divide both sides by -21: x = 502/21"], "final_answer": "502/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x + 120 = 12x - 382", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 120, \"c\": 12, \"d\": 382}", "seed": "8503574371806083556", "semantic_fingerprint": "sha256:172d5fd39f24c7598f3400f74a26801f97d773c2162febaca44af9328074e997", "generator_version": "3.0"}
{"id": "v3_val_00001639", "prompt": "What is -653 * 110 / (887 + (322 + 31 - (-86)))?", "solution_steps": ["Multiply: -653 * 110 = -71830", "Add: 322 + 31 = 353", "Subtract: 353 - (-86) = 439", "Add: 887 + 439 = 1326", "Divide: -71830 / 1326 = -35915/663"], "final_answer": "-35915/663", "answer_type": "rational", "kind": "expression", "math_text": "-653 * 110 / (887 + (322 + 31 - (-86)))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (+ n (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -653, \"b\": 110, \"c\": 887, \"d\": 322, \"e\": 31, \"f\": -86}", "seed": "1956741886046998362", "semantic_fingerprint": "sha256:461b9d9a9a13c2a50bce9dc6ad8a4e0849300b7f34f8aad8232d101fa9b001d7", "generator_version": "3.0"}
{"id": "v3_val_00001640", "prompt": "Solve for x: x - 28 = 10(x + 3) - 139", "solution_steps": ["Expand: x - 28 = 10x + 30 - 139", "Combine constants: x - 28 = 10x - 109", "Subtract 10x from both sides: -9x - 28 = -109", "Add 28 to both sides: -9x = -81", "Divide both sides by -9: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 28 = 10(x + 3) - 139", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 10, \"c\": 3, \"e\": -139, \"x\": 9}", "seed": "11028410206048971689", "semantic_fingerprint": "sha256:a29a4c365510e5c28cfb503159012dd33fae41f34cae4c3eb585481ce954cb38", "generator_version": "3.0"}
{"id": "v3_val_00001641", "prompt": "What value of x satisfies 7x - 90 = -91?", "solution_steps": ["Add 90 to 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 - 90 = -91", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 90, \"c\": -91}", "seed": "17237479428475963680", "semantic_fingerprint": "sha256:94dd2a776db1129a794e135d01419f8ab54dd87c0f02be0d6d1853c8525d091a", "generator_version": "3.0"}
{"id": "v3_val_00001642", "prompt": "Evaluate: -75 * 41 * 91", "solution_steps": ["Multiply: -75 * 41 = -3075", "Multiply: -3075 * 91 = -279825"], "final_answer": "-279825", "answer_type": "integer", "kind": "expression", "math_text": "-75 * 41 * 91", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 41, \"c\": 91}", "seed": "6806946183067366747", "semantic_fingerprint": "sha256:7f27464e8f4369571d622b33c3dc8bbac852fb9af77e9c75fb05860b02b049e8", "generator_version": "3.0"}
{"id": "v3_val_00001643", "prompt": "Evaluate: -23 + 34 + (375 / 9 * 266 - 590)", "solution_steps": ["Add: -23 + 34 = 11", "Divide: 375 / 9 = 125/3", "Multiply: (125/3) * 266 = 33250/3", "Subtract: 33250/3 - 590 = 31480/3", "Add: 11 + 31480/3 = 31513/3"], "final_answer": "31513/3", "answer_type": "rational", "kind": "expression", "math_text": "-23 + 34 + (375 / 9 * 266 - 590)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (* (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 34, \"c\": 375, \"d\": 9, \"e\": 266, \"f\": 590}", "seed": "15364055770019512504", "semantic_fingerprint": "sha256:2afca169c5496e894739e31c286bb62a212ff5ad8aa5ed537da275fcaed95540", "generator_version": "3.0"}
{"id": "v3_val_00001644", "prompt": "What is 63 / 6 * (6 * (-1))?", "solution_steps": ["Divide: 63 / 6 = 21/2", "Multiply: 6 * (-1) = -6", "Multiply: (21/2) * (-6) = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "63 / 6 * (6 * (-1))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 6, \"c\": 6, \"d\": -1}", "seed": "586498951751182423", "semantic_fingerprint": "sha256:1bd47895c7d9b46ba3f225438cc9f150dd8f11e58f948b20394c89e47be3d32d", "generator_version": "3.0"}
{"id": "v3_val_00001645", "prompt": "Solve the equation x + 37 = -4x + 17 for x.", "solution_steps": ["Add 4x to both sides: 5x + 37 = 17", "Subtract 37 from both sides: 5x = -20", "Divide both sides by 5: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 37 = -4x + 17", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -4, \"d\": 17, \"x\": -4}", "seed": "385009260538927721", "semantic_fingerprint": "sha256:f05f7b10dc1b74b3e378d51696b413ef5ba44b676deed99463a7f2c00dc25717", "generator_version": "3.0"}
{"id": "v3_val_00001646", "prompt": "Evaluate: (61 + 51) * (810 * 0)", "solution_steps": ["Add: 61 + 51 = 112", "Multiply: 810 * 0 = 0", "Multiply: 112 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(61 + 51) * (810 * 0)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 51, \"c\": 810, \"d\": 0}", "seed": "7475818247587715764", "semantic_fingerprint": "sha256:87941b8252e7f978b719ac1193fc56e41427ce1714f65f86e8c320c0277f7963", "generator_version": "3.0"}
{"id": "v3_val_00001647", "prompt": "Find x: x + 68 = 9x + 20", "solution_steps": ["Subtract 9x from both sides: -8x + 68 = 20", "Subtract 68 from both sides: -8x = -48", "Divide both sides by -8: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 68 = 9x + 20", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 9, \"d\": 20, \"x\": 6}", "seed": "6258172327851512272", "semantic_fingerprint": "sha256:67cdb398540ac7b37cc93bba940697959203710a450e850d142de0b43237481a", "generator_version": "3.0"}
{"id": "v3_val_00001648", "prompt": "Compute: -36 + (-1) + (367 + 23 + 353 * 4)", "solution_steps": ["Add: -36 + (-1) = -37", "Add: 367 + 23 = 390", "Multiply: 353 * 4 = 1412", "Add: 390 + 1412 = 1802", "Add: -37 + 1802 = 1765"], "final_answer": "1765", "answer_type": "integer", "kind": "expression", "math_text": "-36 + (-1) + (367 + 23 + 353 * 4)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (+ (+ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -1, \"c\": 367, \"d\": 23, \"e\": 353, \"f\": 4}", "seed": "5065259077921623195", "semantic_fingerprint": "sha256:fd3423360db8cedd583d4aa39c3c404587eb22074149db69505f6340bead133c", "generator_version": "3.0"}
{"id": "v3_val_00001649", "prompt": "Compute: 39 * 37", "solution_steps": ["Multiply: 39 * 37 = 1443"], "final_answer": "1443", "answer_type": "integer", "kind": "expression", "math_text": "39 * 37", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 37}", "seed": "3430414903988670912", "semantic_fingerprint": "sha256:7588481f621792a70c465be0cd65a589c87c0d4037b289f0c5a75964f6ca9ebf", "generator_version": "3.0"}
{"id": "v3_val_00001650", "prompt": "What is -30 / (-9 * (-367) - (-526))?", "solution_steps": ["Multiply: -9 * (-367) = 3303", "Subtract: 3303 - (-526) = 3829", "Divide: -30 / 3829 = -30/3829"], "final_answer": "-30/3829", "answer_type": "rational", "kind": "expression", "math_text": "-30 / (-9 * (-367) - (-526))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -9, \"c\": -367, \"d\": -526}", "seed": "2840908442802929423", "semantic_fingerprint": "sha256:94e17f265862214e7b0c440d1c0a917dfabad4970570ab5a3207dea21c502a57", "generator_version": "3.0"}
{"id": "v3_val_00001651", "prompt": "Compute: (-548 + 8) / (2 - (-965))", "solution_steps": ["Add: -548 + 8 = -540", "Subtract: 2 - (-965) = 967", "Divide: -540 / 967 = -540/967"], "final_answer": "-540/967", "answer_type": "rational", "kind": "expression", "math_text": "(-548 + 8) / (2 - (-965))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -548, \"b\": 8, \"c\": 2, \"d\": -965}", "seed": "10660849248823012082", "semantic_fingerprint": "sha256:512af4cf36736ab2ff46c243c5de7096a9169d88a582ab08657bfe6aa7877f58", "generator_version": "3.0"}
{"id": "v3_val_00001652", "prompt": "What is 3 + (-9) * (945 + (-40)) + 5?", "solution_steps": ["Add: 945 + (-40) = 905", "Multiply: -9 * 905 = -8145", "Add: 3 + (-8145) = -8142", "Add: -8142 + 5 = -8137"], "final_answer": "-8137", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-9) * (945 + (-40)) + 5", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -9, \"c\": 945, \"d\": -40, \"e\": 5}", "seed": "2710722169990175567", "semantic_fingerprint": "sha256:e4f78bf18b4aab533a3ffbdaeb1e7458540c2cf7699586fa190e9084b94b140d", "generator_version": "3.0"}
{"id": "v3_val_00001653", "prompt": "Solve the equation x - 7 = -19 for x.", "solution_steps": ["Add 7 to both sides: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = -19", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": -19, \"x\": -12}", "seed": "17569557330323130894", "semantic_fingerprint": "sha256:2be05b326b23a6e28c11c2b5684f48893690228eeb5bdf9e63325d409b54376c", "generator_version": "3.0"}
{"id": "v3_val_00001654", "prompt": "Compute: (89 * (-68) + (29 - (-5))) / (-77)", "solution_steps": ["Multiply: 89 * (-68) = -6052", "Subtract: 29 - (-5) = 34", "Add: -6052 + 34 = -6018", "Divide: -6018 / (-77) = 6018/77"], "final_answer": "6018/77", "answer_type": "rational", "kind": "expression", "math_text": "(89 * (-68) + (29 - (-5))) / (-77)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -68, \"c\": 29, \"d\": -5, \"e\": -77}", "seed": "2056733772699035492", "semantic_fingerprint": "sha256:81b2370870b0ef2a105e340aee3b81bd708c75e875b47b0a4302d679e1ae01a3", "generator_version": "3.0"}
{"id": "v3_val_00001655", "prompt": "What is -752 - (-99) / 18?", "solution_steps": ["Divide: -99 / 18 = -11/2", "Subtract: -752 - (-11/2) = -1493/2"], "final_answer": "-1493/2", "answer_type": "rational", "kind": "expression", "math_text": "-752 - (-99) / 18", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -752, \"b\": -99, \"c\": 18}", "seed": "7012999488107422651", "semantic_fingerprint": "sha256:13b8801ff593213ade76b4c3ec87197975980318c60f98f4db10586927170af9", "generator_version": "3.0"}
{"id": "v3_val_00001656", "prompt": "Solve the equation 7(x + 1) - 2 = 9(x + 531) - 793 for x.", "solution_steps": ["Expand: 7x + 7 - 2 = 9(x + 531) - 793", "Expand: 7x + 7 - 2 = 9x + 4779 - 793", "Combine constants: 7x + 5 = 9x + 4779 - 793", "Combine constants: 7x + 5 = 9x + 3986", "Subtract 9x from both sides: -2x + 5 = 3986", "Subtract 5 from both sides: -2x = 3981", "Divide both sides by -2: x = -3981/2"], "final_answer": "-3981/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 1) - 2 = 9(x + 531) - 793", "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\": 2, \"d\": 9, \"e\": 531, \"f\": 793}", "seed": "540800751594052815", "semantic_fingerprint": "sha256:6ae040d42af1b3dee83ce0f7b1a358a41c5b19af096bfcc8ced691e6e98fcfcb", "generator_version": "3.0"}
{"id": "v3_val_00001657", "prompt": "Calculate: 14 - ((-14 + 8) / 32 - (-72 - 3))", "solution_steps": ["Add: -14 + 8 = -6", "Divide: -6 / 32 = -3/16", "Subtract: -72 - 3 = -75", "Subtract: -3/16 - (-75) = 1197/16", "Subtract: 14 - 1197/16 = -973/16"], "final_answer": "-973/16", "answer_type": "rational", "kind": "expression", "math_text": "14 - ((-14 + 8) / 32 - (-72 - 3))", "variable": null, "family": "expression_5op", "shape": "(- n (- (/ (+ n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -14, \"c\": 8, \"d\": 32, \"e\": -72, \"f\": 3}", "seed": "4776998758247151535", "semantic_fingerprint": "sha256:88073f125737093bd0fb59832923390a72a2b3feeb1f015461217d519b62b200", "generator_version": "3.0"}
{"id": "v3_val_00001658", "prompt": "What value of x satisfies 8x = -80?", "solution_steps": ["Divide both sides by 8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -80", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": -80, \"x\": -10}", "seed": "11277890808933752200", "semantic_fingerprint": "sha256:602f28f2e0c270358fee4a22ada4fd875159f14ee37dd04c85052c9d8bcc9cb4", "generator_version": "3.0"}
{"id": "v3_val_00001659", "prompt": "Find x: x = -10(x - 66)", "solution_steps": ["Expand: x = -10x + 660", "Add 10x to both sides: 11x = 660", "Divide both sides by 11: x = 60"], "final_answer": "60", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -10(x - 66)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 66}", "seed": "13453151271287145032", "semantic_fingerprint": "sha256:3b9e1471f849561fbaf7dad60621867e66cc28042ff26f8bebc39d7f1907720d", "generator_version": "3.0"}
{"id": "v3_val_00001660", "prompt": "What is 832 * 3 + 41?", "solution_steps": ["Multiply: 832 * 3 = 2496", "Add: 2496 + 41 = 2537"], "final_answer": "2537", "answer_type": "integer", "kind": "expression", "math_text": "832 * 3 + 41", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 832, \"b\": 3, \"c\": 41}", "seed": "13549843160467542350", "semantic_fingerprint": "sha256:c8f0957d3f92db47d265f3058cbbf5f1c5d10dc6869dc6690f75e2a71dacebd4", "generator_version": "3.0"}
{"id": "v3_val_00001661", "prompt": "Solve the equation x + 12 = 2(x - 36) + 63 for x.", "solution_steps": ["Expand: x + 12 = 2x - 72 + 63", "Combine constants: x + 12 = 2x - 9", "Subtract 2x from both sides: -x + 12 = -9", "Subtract 12 from both sides: -x = -21", "Divide both sides by -1: x = 21"], "final_answer": "21", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 12 = 2(x - 36) + 63", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 36, \"d\": 63}", "seed": "13062385792619508511", "semantic_fingerprint": "sha256:6abbc8ac36be98bb3d90f8ec9683264d322f1beccf180e20ee8425ce3e5fba23", "generator_version": "3.0"}
{"id": "v3_val_00001662", "prompt": "Evaluate: -1 - (-7) - 0 * 83", "solution_steps": ["Subtract: -1 - (-7) = 6", "Multiply: 0 * 83 = 0", "Subtract: 6 - 0 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-7) - 0 * 83", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -7, \"c\": 0, \"d\": 83}", "seed": "8471847054034719829", "semantic_fingerprint": "sha256:04d572f8bd289e3920e9f91aeeb5e027998cef3b1a2a0ceac998c13fa2f9f563", "generator_version": "3.0"}
{"id": "v3_val_00001663", "prompt": "Evaluate: -413 / (-48 - 44 / (-9))", "solution_steps": ["Divide: 44 / (-9) = -44/9", "Subtract: -48 - (-44/9) = -388/9", "Divide: -413 / (-388/9) = 3717/388"], "final_answer": "3717/388", "answer_type": "rational", "kind": "expression", "math_text": "-413 / (-48 - 44 / (-9))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -413, \"b\": -48, \"c\": 44, \"d\": -9}", "seed": "9251953532170488119", "semantic_fingerprint": "sha256:636397899c6468a7fec400a848a29f95076ab10c10cc651c727a88d7ef4ac44a", "generator_version": "3.0"}
{"id": "v3_val_00001664", "prompt": "Find x: -10x - 385 = -295", "solution_steps": ["Add 385 to both sides: -10x = 90", "Divide both sides by -10: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 385 = -295", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 385, \"d\": -295, \"x\": -9}", "seed": "17314949227269369674", "semantic_fingerprint": "sha256:4d377c1ba4d00c59b64e2116d95e141fbe9c127abfc6292bdc7271d891335a01", "generator_version": "3.0"}
{"id": "v3_val_00001665", "prompt": "Calculate: -54 * (65 + 106)", "solution_steps": ["Add: 65 + 106 = 171", "Multiply: -54 * 171 = -9234"], "final_answer": "-9234", "answer_type": "integer", "kind": "expression", "math_text": "-54 * (65 + 106)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 65, \"c\": 106}", "seed": "8740039338809763449", "semantic_fingerprint": "sha256:7b5f3a1a069a9032bc3b0c1f86f79c5bf9e4df9d0124fb645a41627a9a269537", "generator_version": "3.0"}
{"id": "v3_val_00001666", "prompt": "Evaluate: -4 + (-622) / 3 * (-48)", "solution_steps": ["Divide: -622 / 3 = -622/3", "Multiply: (-622/3) * (-48) = 9952", "Add: -4 + 9952 = 9948"], "final_answer": "9948", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-622) / 3 * (-48)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -622, \"c\": 3, \"d\": -48}", "seed": "9555192411812858299", "semantic_fingerprint": "sha256:8ffd9a092e4ac3e779d6f8d3b09dbeead155c49c4b87cd7269ab1e04aad491c4", "generator_version": "3.0"}
{"id": "v3_val_00001667", "prompt": "Find x: 10(x - 8) - 7 = -5", "solution_steps": ["Expand: 10x - 80 - 7 = -5", "Combine constants: 10x - 87 = -5", "Add 87 to both sides: 10x = 82", "Divide both sides by 10: x = 41/5"], "final_answer": "41/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 8) - 7 = -5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 7, \"d\": -5}", "seed": "1462604830186616470", "semantic_fingerprint": "sha256:7ab5dc6e29a0adde75b9f8883f8d5e5bc1e2d3540e1afc8c54689218b0458280", "generator_version": "3.0"}
{"id": "v3_val_00001668", "prompt": "Calculate: 30 / (135 - 5)", "solution_steps": ["Subtract: 135 - 5 = 130", "Divide: 30 / 130 = 3/13"], "final_answer": "3/13", "answer_type": "rational", "kind": "expression", "math_text": "30 / (135 - 5)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 135, \"c\": 5}", "seed": "7774451179968084805", "semantic_fingerprint": "sha256:63ea9eea468fb387e4f84be40250f0ee2c9f40bcbb21b7b763ae3c99fa7b8f77", "generator_version": "3.0"}
{"id": "v3_val_00001669", "prompt": "What is 7 + 76 / (66 - 62 + 227)?", "solution_steps": ["Subtract: 66 - 62 = 4", "Add: 4 + 227 = 231", "Divide: 76 / 231 = 76/231", "Add: 7 + 76/231 = 1693/231"], "final_answer": "1693/231", "answer_type": "rational", "kind": "expression", "math_text": "7 + 76 / (66 - 62 + 227)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 76, \"c\": 66, \"d\": 62, \"e\": 227}", "seed": "17816319682338166304", "semantic_fingerprint": "sha256:9b754cec13435dd9520a080010bb3617f6b2ded822d4c390fc9e31dd10873859", "generator_version": "3.0"}
{"id": "v3_val_00001670", "prompt": "What value of x satisfies 4(x + 23) + 303 = 10(x - 4) + 369?", "solution_steps": ["Expand: 4x + 92 + 303 = 10(x - 4) + 369", "Expand: 4x + 92 + 303 = 10x - 40 + 369", "Combine constants: 4x + 395 = 10x - 40 + 369", "Combine constants: 4x + 395 = 10x + 329", "Subtract 10x from both sides: -6x + 395 = 329", "Subtract 395 from both sides: -6x = -66", "Divide both sides by -6: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 23) + 303 = 10(x - 4) + 369", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 23, \"c\": 303, \"d\": 10, \"e\": 4, \"g\": 369, \"x\": 11}", "seed": "15398081764104944528", "semantic_fingerprint": "sha256:5c634c243c44704fb1e9a40caf775e6ce91dcac46885b1613c7d6a55fddf233c", "generator_version": "3.0"}
{"id": "v3_val_00001671", "prompt": "What is 1 / 79 * 50?", "solution_steps": ["Divide: 1 / 79 = 1/79", "Multiply: (1/79) * 50 = 50/79"], "final_answer": "50/79", "answer_type": "rational", "kind": "expression", "math_text": "1 / 79 * 50", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 79, \"c\": 50}", "seed": "764108150337137348", "semantic_fingerprint": "sha256:144eaf73764ab4f0ccba355722100589de469f44b691d1a5bdcbec5ca61fe6d8", "generator_version": "3.0"}
{"id": "v3_val_00001672", "prompt": "Compute: 4 + (-7 + 1)", "solution_steps": ["Add: -7 + 1 = -6", "Add: 4 + (-6) = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-7 + 1)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -7, \"c\": 1}", "seed": "17915172972811213189", "semantic_fingerprint": "sha256:8517d219fe25e426c5d06ca311c42040f13ceebd06124763bb8f7e5c10ee9033", "generator_version": "3.0"}
{"id": "v3_val_00001673", "prompt": "What value of x satisfies 3(x - 3) - 174 = -213?", "solution_steps": ["Expand: 3x - 9 - 174 = -213", "Combine constants: 3x - 183 = -213", "Add 183 to both sides: 3x = -30", "Divide both sides by 3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 3) - 174 = -213", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 174, \"e\": -213, \"x\": -10}", "seed": "3169135894506046138", "semantic_fingerprint": "sha256:9b4d09fb3f50fed1fc29072c7ac406a313aac0e7e6f952693aad8385c0310855", "generator_version": "3.0"}
{"id": "v3_val_00001674", "prompt": "Solve for x: x + 92 = 8x", "solution_steps": ["Subtract 8x from both sides: -7x + 92 = 0", "Subtract 92 from both sides: -7x = -92", "Divide both sides by -7: x = 92/7"], "final_answer": "92/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 92 = 8x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 8}", "seed": "7061580959639258907", "semantic_fingerprint": "sha256:e898ac66c317ccf9805c1b857b6a675189d88d3b44a8b4ba931252c9bc3fe9b1", "generator_version": "3.0"}
{"id": "v3_val_00001675", "prompt": "What value of x satisfies 3(x - 27) - 942 = x - 999?", "solution_steps": ["Expand: 3x - 81 - 942 = x - 999", "Combine constants: 3x - 1023 = x - 999", "Subtract x from both sides: 2x - 1023 = -999", "Add 1023 to both sides: 2x = 24", "Divide both sides by 2: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 27) - 942 = x - 999", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 27, \"c\": 942, \"e\": -999, \"x\": 12}", "seed": "12698651468997342671", "semantic_fingerprint": "sha256:48739ef3b1e9e494bcc7355e406ca6bd7e257f113436b16299960e7deafb8694", "generator_version": "3.0"}
{"id": "v3_val_00001676", "prompt": "Evaluate: -387 * 633", "solution_steps": ["Multiply: -387 * 633 = -244971"], "final_answer": "-244971", "answer_type": "integer", "kind": "expression", "math_text": "-387 * 633", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -387, \"b\": 633}", "seed": "5701767947213149678", "semantic_fingerprint": "sha256:80282f92403eb2ce7b719e2a4866d9f40ea8e40c4b42f56128a940ee2716ce57", "generator_version": "3.0"}
{"id": "v3_val_00001677", "prompt": "Solve for x: x + 16 = 5x", "solution_steps": ["Subtract 5x from both sides: -4x + 16 = 0", "Subtract 16 from both sides: -4x = -16", "Divide both sides by -4: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 16 = 5x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": 16, \"x\": 4}", "seed": "11179053444006888653", "semantic_fingerprint": "sha256:9fed265047f61ad523c3b9d9a6a40a6dd99151125c3347952cb44a7e30fa287f", "generator_version": "3.0"}
{"id": "v3_val_00001678", "prompt": "Evaluate: -7 - (-54 + (-959 * (48 - 20) + (-1)))", "solution_steps": ["Subtract: 48 - 20 = 28", "Multiply: -959 * 28 = -26852", "Add: -26852 + (-1) = -26853", "Add: -54 + (-26853) = -26907", "Subtract: -7 - (-26907) = 26900"], "final_answer": "26900", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-54 + (-959 * (48 - 20) + (-1)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ n (+ (* n (- n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -54, \"c\": -959, \"d\": 48, \"e\": 20, \"f\": -1}", "seed": "4760929653004748446", "semantic_fingerprint": "sha256:fc08750c952931899b8aa8eae8b6040a4a9fce89ef16953ac127f0015f9a3a56", "generator_version": "3.0"}
{"id": "v3_val_00001679", "prompt": "Calculate: (930 + 3) / (3 * 9)", "solution_steps": ["Add: 930 + 3 = 933", "Multiply: 3 * 9 = 27", "Divide: 933 / 27 = 311/9"], "final_answer": "311/9", "answer_type": "rational", "kind": "expression", "math_text": "(930 + 3) / (3 * 9)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 930, \"b\": 3, \"c\": 3, \"d\": 9}", "seed": "14249689628141634390", "semantic_fingerprint": "sha256:4f0d3377f3b4280ebc7e970cc0be66c964e7dc5dbb64b6fc515ec545483edba8", "generator_version": "3.0"}
{"id": "v3_val_00001680", "prompt": "Evaluate: 39 / 9 / 94", "solution_steps": ["Divide: 39 / 9 = 13/3", "Divide: (13/3) / 94 = 13/282"], "final_answer": "13/282", "answer_type": "rational", "kind": "expression", "math_text": "39 / 9 / 94", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 9, \"c\": 94}", "seed": "15635828485503263421", "semantic_fingerprint": "sha256:c338d70d4eb67b210892c37f218b663c7cc9e82fbbfe242912a75d26b09f6502", "generator_version": "3.0"}
{"id": "v3_val_00001681", "prompt": "Calculate: 25 + (-8)", "solution_steps": ["Add: 25 + (-8) = 17"], "final_answer": "17", "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": "1426109500057826878", "semantic_fingerprint": "sha256:8dc3dec03a9f1a53e7050a5c36300316b546d47978d8b3d87acaedcb14284e42", "generator_version": "3.0"}
{"id": "v3_val_00001682", "prompt": "Calculate: 0 + (-8) / 94 + 9 - 7", "solution_steps": ["Divide: -8 / 94 = -4/47", "Add: 0 + (-4/47) = -4/47", "Add: -4/47 + 9 = 419/47", "Subtract: 419/47 - 7 = 90/47"], "final_answer": "90/47", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-8) / 94 + 9 - 7", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -8, \"c\": 94, \"d\": 9, \"e\": 7}", "seed": "13823012404340990814", "semantic_fingerprint": "sha256:9ec61a35febce5bd29de46c170b7423f526b5fc7c553fd35729ee01b946f8f0e", "generator_version": "3.0"}
{"id": "v3_val_00001683", "prompt": "Calculate: 35 + (-88) + (-5)", "solution_steps": ["Add: 35 + (-88) = -53", "Add: -53 + (-5) = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "35 + (-88) + (-5)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -88, \"c\": -5}", "seed": "13544903088215278963", "semantic_fingerprint": "sha256:97f177b8938587ad204e8b2d475a5456f8730d53cb634041c83cba695c1294a0", "generator_version": "3.0"}
{"id": "v3_val_00001684", "prompt": "What value of x satisfies 10(x - 3) + 45 = 9x?", "solution_steps": ["Expand: 10x - 30 + 45 = 9x", "Combine constants: 10x + 15 = 9x", "Subtract 9x from both sides: x + 15 = 0", "Subtract 15 from both sides: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 3) + 45 = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 9, \"e\": 45, \"x\": -15}", "seed": "10649948819442586270", "semantic_fingerprint": "sha256:52e020b32c32e7d8ad22e468ba1928ff1cf0ad0a53ed4be31647501b83bd2e01", "generator_version": "3.0"}
{"id": "v3_val_00001685", "prompt": "What is -9 / 777 - (-11)?", "solution_steps": ["Divide: -9 / 777 = -3/259", "Subtract: -3/259 - (-11) = 2846/259"], "final_answer": "2846/259", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 777 - (-11)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 777, \"c\": -11}", "seed": "5256992878191323469", "semantic_fingerprint": "sha256:dcd4b102b67d4aab1de24c4e1f17fd96a0cee69b35a40fcf521cb9e26b44b17f", "generator_version": "3.0"}
{"id": "v3_val_00001686", "prompt": "Calculate: -965 + (-7 + (-60) - (0 + (408 - 4)))", "solution_steps": ["Add: -7 + (-60) = -67", "Subtract: 408 - 4 = 404", "Add: 0 + 404 = 404", "Subtract: -67 - 404 = -471", "Add: -965 + (-471) = -1436"], "final_answer": "-1436", "answer_type": "integer", "kind": "expression", "math_text": "-965 + (-7 + (-60) - (0 + (408 - 4)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ n n) (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -965, \"b\": -7, \"c\": -60, \"d\": 0, \"e\": 408, \"f\": 4}", "seed": "10398822754422283611", "semantic_fingerprint": "sha256:2df81badca4108b0fa38defc2f7b05b4df02702d482f112479042f1f4b446c0a", "generator_version": "3.0"}
{"id": "v3_val_00001687", "prompt": "Compute: 565 + 5", "solution_steps": ["Add: 565 + 5 = 570"], "final_answer": "570", "answer_type": "integer", "kind": "expression", "math_text": "565 + 5", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 565, \"b\": 5}", "seed": "5831468496338947328", "semantic_fingerprint": "sha256:1d6401ff7b663254cb5ae0f2f08492c0accdbda2f9dbce28f161861064ba5de6", "generator_version": "3.0"}
{"id": "v3_val_00001688", "prompt": "Calculate: (-55 - (-666)) * 24 + (-29)", "solution_steps": ["Subtract: -55 - (-666) = 611", "Multiply: 611 * 24 = 14664", "Add: 14664 + (-29) = 14635"], "final_answer": "14635", "answer_type": "integer", "kind": "expression", "math_text": "(-55 - (-666)) * 24 + (-29)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -666, \"c\": 24, \"d\": -29}", "seed": "5650861085880849089", "semantic_fingerprint": "sha256:d860a9d324d88331198199fb708e9364982b08a8cc4f23d6b702445491c97939", "generator_version": "3.0"}
{"id": "v3_val_00001689", "prompt": "Solve the equation -4(x + 23) - 46 = -115 for x.", "solution_steps": ["Expand: -4x - 92 - 46 = -115", "Combine constants: -4x - 138 = -115", "Add 138 to both sides: -4x = 23", "Divide both sides by -4: x = -23/4"], "final_answer": "-23/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 23) - 46 = -115", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 23, \"c\": 46, \"d\": -115}", "seed": "14112680177945011137", "semantic_fingerprint": "sha256:4dd0863faf6fffec643368b7571c9e078bfc7b33e91bfa576d338cb0a8ddf841", "generator_version": "3.0"}
{"id": "v3_val_00001690", "prompt": "Compute: (0 - 55 - 6) / (64 + 8)", "solution_steps": ["Subtract: 0 - 55 = -55", "Subtract: -55 - 6 = -61", "Add: 64 + 8 = 72", "Divide: -61 / 72 = -61/72"], "final_answer": "-61/72", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 55 - 6) / (64 + 8)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 55, \"c\": 6, \"d\": 64, \"e\": 8}", "seed": "5045498145700747028", "semantic_fingerprint": "sha256:e26dcec44f86a800ff3bb142ca37136f364415f0ab7c52e5c4ba62f8a2e9fbb6", "generator_version": "3.0"}
{"id": "v3_val_00001691", "prompt": "Calculate: -48 * (-4)", "solution_steps": ["Multiply: -48 * (-4) = 192"], "final_answer": "192", "answer_type": "integer", "kind": "expression", "math_text": "-48 * (-4)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -4}", "seed": "9868203802180898292", "semantic_fingerprint": "sha256:523b293258be0ffb90253ea511d4fbab291ade7e5d805e3d7f686eddaa86c4df", "generator_version": "3.0"}
{"id": "v3_val_00001692", "prompt": "Compute: -45 - (-89)", "solution_steps": ["Subtract: -45 - (-89) = 44"], "final_answer": "44", "answer_type": "integer", "kind": "expression", "math_text": "-45 - (-89)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -89}", "seed": "12045944968395216439", "semantic_fingerprint": "sha256:f488b0dba2045ea8ee2ecb38994e4ad52b78788703ba3ce6c838a93ff5a384f7", "generator_version": "3.0"}
{"id": "v3_val_00001693", "prompt": "What value of x satisfies 4(x - 400) + 63 = 3x?", "solution_steps": ["Expand: 4x - 1600 + 63 = 3x", "Combine constants: 4x - 1537 = 3x", "Subtract 3x from both sides: x - 1537 = 0", "Add 1537 to both sides: x = 1537"], "final_answer": "1537", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 400) + 63 = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 400, \"c\": 63, \"d\": 3}", "seed": "11282694084330750282", "semantic_fingerprint": "sha256:6a926beca702078650dc17d17fa312d7eadeb05170bbb402b403898b1b2f63c7", "generator_version": "3.0"}
{"id": "v3_val_00001694", "prompt": "Find x: 9(x + 82) - 530 = 2(x + 41)", "solution_steps": ["Expand: 9x + 738 - 530 = 2(x + 41)", "Expand: 9x + 738 - 530 = 2x + 82", "Combine constants: 9x + 208 = 2x + 82", "Subtract 2x from both sides: 7x + 208 = 82", "Subtract 208 from both sides: 7x = -126", "Divide both sides by 7: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 82) - 530 = 2(x + 41)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 82, \"c\": 2, \"d\": 41, \"f\": -530, \"x\": -18}", "seed": "10266952128050893698", "semantic_fingerprint": "sha256:55410a491ac6747c5424d3de076dd0ea089808a9270c0c94d83e6cf7b14365b6", "generator_version": "3.0"}
{"id": "v3_val_00001695", "prompt": "Calculate: -82 - (-9 - (-17) - 25 / (-822))", "solution_steps": ["Subtract: -9 - (-17) = 8", "Divide: 25 / (-822) = -25/822", "Subtract: 8 - (-25/822) = 6601/822", "Subtract: -82 - 6601/822 = -74005/822"], "final_answer": "-74005/822", "answer_type": "rational", "kind": "expression", "math_text": "-82 - (-9 - (-17) - 25 / (-822))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -9, \"c\": -17, \"d\": 25, \"e\": -822}", "seed": "7826397823657252498", "semantic_fingerprint": "sha256:c128f310b8913b312b71699a517b214c39487504923b27619641082eb6b1102f", "generator_version": "3.0"}
{"id": "v3_val_00001696", "prompt": "Evaluate: -855 + (-534 + (-98 - 70) / (-11))", "solution_steps": ["Subtract: -98 - 70 = -168", "Divide: -168 / (-11) = 168/11", "Add: -534 + 168/11 = -5706/11", "Add: -855 + (-5706/11) = -15111/11"], "final_answer": "-15111/11", "answer_type": "rational", "kind": "expression", "math_text": "-855 + (-534 + (-98 - 70) / (-11))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (/ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -855, \"b\": -534, \"c\": -98, \"d\": 70, \"e\": -11}", "seed": "1769390516915102758", "semantic_fingerprint": "sha256:1def2672182394549b6e35acca8f82d4dbc68b9f4096d270fe32a6bd1746aec7", "generator_version": "3.0"}
{"id": "v3_val_00001697", "prompt": "What is -56 * (-568)?", "solution_steps": ["Multiply: -56 * (-568) = 31808"], "final_answer": "31808", "answer_type": "integer", "kind": "expression", "math_text": "-56 * (-568)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -568}", "seed": "906422597869918640", "semantic_fingerprint": "sha256:ae2b063efc4f24445420549a0fc15628d71db27b8db8795e8ad5ffc2c7137b26", "generator_version": "3.0"}
{"id": "v3_val_00001698", "prompt": "What is -79 / (-70) / (-79) / (-540 - (-432))?", "solution_steps": ["Divide: -79 / (-70) = 79/70", "Divide: (79/70) / (-79) = -1/70", "Subtract: -540 - (-432) = -108", "Divide: (-1/70) / (-108) = 1/7560"], "final_answer": "1/7560", "answer_type": "rational", "kind": "expression", "math_text": "-79 / (-70) / (-79) / (-540 - (-432))", "variable": null, "family": "expression_4op", "shape": "(/ (/ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -70, \"c\": -79, \"d\": -540, \"e\": -432}", "seed": "5833347709378075210", "semantic_fingerprint": "sha256:7f98c68488ced9723aa0d4de710d0ce5acab255e8fc7c5474adab65912cdcf80", "generator_version": "3.0"}
{"id": "v3_val_00001699", "prompt": "What is -44 + (-67) + (-6) / 71?", "solution_steps": ["Add: -44 + (-67) = -111", "Divide: -6 / 71 = -6/71", "Add: -111 + (-6/71) = -7887/71"], "final_answer": "-7887/71", "answer_type": "rational", "kind": "expression", "math_text": "-44 + (-67) + (-6) / 71", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -67, \"c\": -6, \"d\": 71}", "seed": "11515070660030423384", "semantic_fingerprint": "sha256:31fb71238a05ea155f852cd9aebf5a445a71504a23e5c2eaf5fdfc1951c7ceee", "generator_version": "3.0"}
{"id": "v3_val_00001700", "prompt": "Find x: x = 11(x + 4) + 56", "solution_steps": ["Expand: x = 11x + 44 + 56", "Combine constants: x = 11x + 100", "Subtract 11x from both sides: -10x = 100", "Divide both sides by -10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 11(x + 4) + 56", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"d\": 56, \"x\": -10}", "seed": "11562625730174499852", "semantic_fingerprint": "sha256:ea564a456e38e7ddc6d5a32ac00939a7c5fb883324398ef1b9d02d9f8bba8a08", "generator_version": "3.0"}
{"id": "v3_val_00001701", "prompt": "Compute: -8 / (91 * (36 / (-648)))", "solution_steps": ["Divide: 36 / (-648) = -1/18", "Multiply: 91 * (-1/18) = -91/18", "Divide: -8 / (-91/18) = 144/91"], "final_answer": "144/91", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (91 * (36 / (-648)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 91, \"c\": 36, \"d\": -648}", "seed": "13385602243572823972", "semantic_fingerprint": "sha256:44ca31f2c39ec0c2a40a4401edf5ffa1a4fbd7b47145f4f061573001907ece34", "generator_version": "3.0"}
{"id": "v3_val_00001702", "prompt": "Calculate: 2 - (-787) - (-27 - (-688)) / (-8)", "solution_steps": ["Subtract: 2 - (-787) = 789", "Subtract: -27 - (-688) = 661", "Divide: 661 / (-8) = -661/8", "Subtract: 789 - (-661/8) = 6973/8"], "final_answer": "6973/8", "answer_type": "rational", "kind": "expression", "math_text": "2 - (-787) - (-27 - (-688)) / (-8)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -787, \"c\": -27, \"d\": -688, \"e\": -8}", "seed": "5339045310113625480", "semantic_fingerprint": "sha256:7b4ba1a4b2134e761e1a79c0a7a145aa7299647383252b205bebc72aead80902", "generator_version": "3.0"}
{"id": "v3_val_00001703", "prompt": "Calculate: 91 * (-501 * (-5))", "solution_steps": ["Multiply: -501 * (-5) = 2505", "Multiply: 91 * 2505 = 227955"], "final_answer": "227955", "answer_type": "integer", "kind": "expression", "math_text": "91 * (-501 * (-5))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -501, \"c\": -5}", "seed": "14383455049285617091", "semantic_fingerprint": "sha256:becb8029391fe36f4f34d85ddb7b4870a2be2803c59026a90de037cdb63f4582", "generator_version": "3.0"}
{"id": "v3_val_00001704", "prompt": "What value of x satisfies 6(x - 7) = -102?", "solution_steps": ["Expand: 6x - 42 = -102", "Add 42 to both sides: 6x = -60", "Divide both sides by 6: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 7) = -102", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"d\": -102, \"x\": -10}", "seed": "10441225651023380129", "semantic_fingerprint": "sha256:f28fc00bbe9f81c9b74ccd1847c463a0b5d150c7d1b7f3283dc9c17e3adc9421", "generator_version": "3.0"}
{"id": "v3_val_00001705", "prompt": "Compute: 33 - (-49) - (98 - 48)", "solution_steps": ["Subtract: 33 - (-49) = 82", "Subtract: 98 - 48 = 50", "Subtract: 82 - 50 = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "33 - (-49) - (98 - 48)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": -49, \"c\": 98, \"d\": 48}", "seed": "6951963699414488867", "semantic_fingerprint": "sha256:b5a5ea2c6b168f0e5bb4f5025cc8c4aaef185f17ebb58c9ad9dfadb7d4e444aa", "generator_version": "3.0"}
{"id": "v3_val_00001706", "prompt": "Evaluate: 54 * 717 / (7 / 2)", "solution_steps": ["Multiply: 54 * 717 = 38718", "Divide: 7 / 2 = 7/2", "Divide: 38718 / (7/2) = 77436/7"], "final_answer": "77436/7", "answer_type": "rational", "kind": "expression", "math_text": "54 * 717 / (7 / 2)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 717, \"c\": 7, \"d\": 2}", "seed": "1682454038595328715", "semantic_fingerprint": "sha256:aeb75f0e3a9c59b82b2ed4e40ddccd76b0ff9aed36dc3e14ed33215f872f12f7", "generator_version": "3.0"}
{"id": "v3_val_00001707", "prompt": "What is -13 - 918?", "solution_steps": ["Subtract: -13 - 918 = -931"], "final_answer": "-931", "answer_type": "integer", "kind": "expression", "math_text": "-13 - 918", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 918}", "seed": "5599584903701818435", "semantic_fingerprint": "sha256:766484729b9a18afce812ad82394bc8f4bc0e2c6571ab258555bceb4e530831d", "generator_version": "3.0"}
{"id": "v3_val_00001708", "prompt": "Solve for x: 12(x + 45) - 42 = -6(x - 440) - 78", "solution_steps": ["Expand: 12x + 540 - 42 = -6(x - 440) - 78", "Expand: 12x + 540 - 42 = -6x + 2640 - 78", "Combine constants: 12x + 498 = -6x + 2640 - 78", "Combine constants: 12x + 498 = -6x + 2562", "Add 6x to both sides: 18x + 498 = 2562", "Subtract 498 from both sides: 18x = 2064", "Divide both sides by 18: x = 344/3"], "final_answer": "344/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 45) - 42 = -6(x - 440) - 78", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 45, \"c\": 42, \"d\": -6, \"e\": 440, \"f\": 78}", "seed": "13368987432327375990", "semantic_fingerprint": "sha256:8b10b425c4d9594190126c4908357727bb679cd4d58bb8c9dfb15bb2bb4669a2", "generator_version": "3.0"}
{"id": "v3_val_00001709", "prompt": "Solve the equation x - 45 = 6(x + 8) - 63 for x.", "solution_steps": ["Expand: x - 45 = 6x + 48 - 63", "Combine constants: x - 45 = 6x - 15", "Subtract 6x from both sides: -5x - 45 = -15", "Add 45 to both sides: -5x = 30", "Divide both sides by -5: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 45 = 6(x + 8) - 63", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 6, \"c\": 8, \"e\": -63, \"x\": -6}", "seed": "4668745589566561271", "semantic_fingerprint": "sha256:3dc4ab69ee096adceff370771ecef68f6a7e264a4b3ffa3c5d8921ce9fe70af8", "generator_version": "3.0"}
{"id": "v3_val_00001710", "prompt": "What is 78 + (-9)?", "solution_steps": ["Add: 78 + (-9) = 69"], "final_answer": "69", "answer_type": "integer", "kind": "expression", "math_text": "78 + (-9)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -9}", "seed": "1462197064151418450", "semantic_fingerprint": "sha256:76e5dc5a3a059c8f66f878f1c81dee5efb5d61aff9c131383af94f15f82beb2b", "generator_version": "3.0"}
{"id": "v3_val_00001711", "prompt": "What is -198 + (-47 - 18)?", "solution_steps": ["Subtract: -47 - 18 = -65", "Add: -198 + (-65) = -263"], "final_answer": "-263", "answer_type": "integer", "kind": "expression", "math_text": "-198 + (-47 - 18)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -198, \"b\": -47, \"c\": 18}", "seed": "6876010838835639817", "semantic_fingerprint": "sha256:cfc686e9c2104a4dec60c9659b598a1e5435921dfe798457d59253b6cddb8fcc", "generator_version": "3.0"}
{"id": "v3_val_00001712", "prompt": "What is 89 * (97 * 35)?", "solution_steps": ["Multiply: 97 * 35 = 3395", "Multiply: 89 * 3395 = 302155"], "final_answer": "302155", "answer_type": "integer", "kind": "expression", "math_text": "89 * (97 * 35)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 97, \"c\": 35}", "seed": "528546927952396271", "semantic_fingerprint": "sha256:e87be12d7880f928bc0b071e2cc5e94c1a5d1b01be45bfe564ad983eedf15347", "generator_version": "3.0"}
{"id": "v3_val_00001713", "prompt": "Find x: 4x - 5 = 5(x + 730)", "solution_steps": ["Expand: 4x - 5 = 5x + 3650", "Subtract 5x from both sides: -x - 5 = 3650", "Add 5 to both sides: -x = 3655", "Divide both sides by -1: x = -3655"], "final_answer": "-3655", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 5 = 5(x + 730)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 5, \"d\": 730}", "seed": "8016651479570196026", "semantic_fingerprint": "sha256:80fde7f8e5668e85ce9556792502fc5f7bc89ee7e7a450a465a0775c266cd107", "generator_version": "3.0"}
{"id": "v3_val_00001714", "prompt": "What is 288 * (-193)?", "solution_steps": ["Multiply: 288 * (-193) = -55584"], "final_answer": "-55584", "answer_type": "integer", "kind": "expression", "math_text": "288 * (-193)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 288, \"b\": -193}", "seed": "16798311514178528265", "semantic_fingerprint": "sha256:028ecd74fd8e529b47f1d31b2f940bc29d9d63808fbc59b99eabba41220e9e1a", "generator_version": "3.0"}
{"id": "v3_val_00001715", "prompt": "Solve the equation 7(x + 96) = 10x + 654 for x.", "solution_steps": ["Expand: 7x + 672 = 10x + 654", "Subtract 10x from both sides: -3x + 672 = 654", "Subtract 672 from both sides: -3x = -18", "Divide both sides by -3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 96) = 10x + 654", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 96, \"c\": 10, \"e\": 654, \"x\": 6}", "seed": "4596359913152512638", "semantic_fingerprint": "sha256:37be9f22364949c5fa86193a49d9565a3e0fd9952d2df96708bf90557fd91ad1", "generator_version": "3.0"}
{"id": "v3_val_00001716", "prompt": "Find x: 2(x + 3) - 8 = 9x", "solution_steps": ["Expand: 2x + 6 - 8 = 9x", "Combine constants: 2x - 2 = 9x", "Subtract 9x from both sides: -7x - 2 = 0", "Add 2 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": "2(x + 3) - 8 = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 8, \"d\": 9}", "seed": "11040196482460195396", "semantic_fingerprint": "sha256:4446bad58d4216daa325e8ddaea984b74743093f06a9b7382d9a08e7bc63e96d", "generator_version": "3.0"}
{"id": "v3_val_00001717", "prompt": "Solve for x: -8x = 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": "-8x = x + 54", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"c\": 54, \"x\": -6}", "seed": "5882852653571555630", "semantic_fingerprint": "sha256:f4fe5298ba19edb02f286e6c703dead711667d31de9040c0bac95c86e98a7328", "generator_version": "3.0"}
{"id": "v3_val_00001718", "prompt": "Evaluate: -32 + 28 + 789", "solution_steps": ["Add: -32 + 28 = -4", "Add: -4 + 789 = 785"], "final_answer": "785", "answer_type": "integer", "kind": "expression", "math_text": "-32 + 28 + 789", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 28, \"c\": 789}", "seed": "16690504870438951682", "semantic_fingerprint": "sha256:c5600bcf68dbabd36282ac55d026c1fa037728ebaafdd7d74245a8f4e60f84a9", "generator_version": "3.0"}
{"id": "v3_val_00001719", "prompt": "Solve the equation -8(x + 6) + 16 = 2(x - 6) for x.", "solution_steps": ["Expand: -8x - 48 + 16 = 2(x - 6)", "Expand: -8x - 48 + 16 = 2x - 12", "Combine constants: -8x - 32 = 2x - 12", "Subtract 2x from both sides: -10x - 32 = -12", "Add 32 to both sides: -10x = 20", "Divide both sides by -10: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 6) + 16 = 2(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\": 6, \"c\": 2, \"d\": 6, \"f\": 16, \"x\": -2}", "seed": "763403287810629814", "semantic_fingerprint": "sha256:134124fb726553008f40153d50278d47d772511f7d2dee0922423304f1d03a1b", "generator_version": "3.0"}
{"id": "v3_val_00001720", "prompt": "Evaluate: 449 - (2 / (-7) - 186) - (-22 + 284)", "solution_steps": ["Divide: 2 / (-7) = -2/7", "Subtract: -2/7 - 186 = -1304/7", "Subtract: 449 - (-1304/7) = 4447/7", "Add: -22 + 284 = 262", "Subtract: 4447/7 - 262 = 2613/7"], "final_answer": "2613/7", "answer_type": "rational", "kind": "expression", "math_text": "449 - (2 / (-7) - 186) - (-22 + 284)", "variable": null, "family": "expression_5op", "shape": "(- (- n (- (/ n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 449, \"b\": 2, \"c\": -7, \"d\": 186, \"e\": -22, \"f\": 284}", "seed": "11118511460943174696", "semantic_fingerprint": "sha256:7aa9450e6854e2c6bbc4f10237f3a25da93b28cf6183be0e3d75ce8d3d420ed5", "generator_version": "3.0"}
{"id": "v3_val_00001721", "prompt": "Solve for x: x - 188 = -4(x + 62)", "solution_steps": ["Expand: x - 188 = -4x - 248", "Add 4x to both sides: 5x - 188 = -248", "Add 188 to both sides: 5x = -60", "Divide both sides by 5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 188 = -4(x + 62)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 62, \"d\": -188, \"x\": -12}", "seed": "9606524593948592414", "semantic_fingerprint": "sha256:4d960101e2339bda646103142b6eda16c4fda5e62d0b353caebccf5f4a88840c", "generator_version": "3.0"}
{"id": "v3_val_00001722", "prompt": "What is 32 + 7 - 69?", "solution_steps": ["Add: 32 + 7 = 39", "Subtract: 39 - 69 = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "expression", "math_text": "32 + 7 - 69", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 7, \"c\": 69}", "seed": "6191617931445280557", "semantic_fingerprint": "sha256:9c07e8750a6b6648d0bec8246ef42e3f2637d589902241365731142986141168", "generator_version": "3.0"}
{"id": "v3_val_00001723", "prompt": "Evaluate: 23 / 4 - 18 * 19", "solution_steps": ["Divide: 23 / 4 = 23/4", "Multiply: 18 * 19 = 342", "Subtract: 23/4 - 342 = -1345/4"], "final_answer": "-1345/4", "answer_type": "rational", "kind": "expression", "math_text": "23 / 4 - 18 * 19", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 4, \"c\": 18, \"d\": 19}", "seed": "5006360999475959692", "semantic_fingerprint": "sha256:9915c0401b1c947c5b3411fa51c5afa0fbc9847016ab8177c1d059ef1639c47c", "generator_version": "3.0"}
{"id": "v3_val_00001724", "prompt": "Compute: (922 + 690) * 8", "solution_steps": ["Add: 922 + 690 = 1612", "Multiply: 1612 * 8 = 12896"], "final_answer": "12896", "answer_type": "integer", "kind": "expression", "math_text": "(922 + 690) * 8", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 922, \"b\": 690, \"c\": 8}", "seed": "15011142497337184317", "semantic_fingerprint": "sha256:4f2f172383cd6079155539e2f6ffe0532174fe01f57c92f357dbcbf904afbd39", "generator_version": "3.0"}
{"id": "v3_val_00001725", "prompt": "Calculate: -757 + (-77) + (-49) * (-232)", "solution_steps": ["Add: -757 + (-77) = -834", "Multiply: -49 * (-232) = 11368", "Add: -834 + 11368 = 10534"], "final_answer": "10534", "answer_type": "integer", "kind": "expression", "math_text": "-757 + (-77) + (-49) * (-232)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -757, \"b\": -77, \"c\": -49, \"d\": -232}", "seed": "43333865346942254", "semantic_fingerprint": "sha256:2e8f457aea88908b9ad43d7e65ca74657820255b23a8baa12bd605fd21c45362", "generator_version": "3.0"}
{"id": "v3_val_00001726", "prompt": "What is -99 + (-81) - (-199) * 4?", "solution_steps": ["Add: -99 + (-81) = -180", "Multiply: -199 * 4 = -796", "Subtract: -180 - (-796) = 616"], "final_answer": "616", "answer_type": "integer", "kind": "expression", "math_text": "-99 + (-81) - (-199) * 4", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -81, \"c\": -199, \"d\": 4}", "seed": "12244514721338675787", "semantic_fingerprint": "sha256:e10e606f8506e8663e7a880174cbd7a46aa23e981aea6f9c153f22f085c9ee57", "generator_version": "3.0"}
{"id": "v3_val_00001727", "prompt": "Calculate: 295 * 32", "solution_steps": ["Multiply: 295 * 32 = 9440"], "final_answer": "9440", "answer_type": "integer", "kind": "expression", "math_text": "295 * 32", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 295, \"b\": 32}", "seed": "7514326551852098359", "semantic_fingerprint": "sha256:73230c0f9a6b764330ae59f52cbde31fa916bbb219f07570fdcda9d95ff2ccaa", "generator_version": "3.0"}
{"id": "v3_val_00001728", "prompt": "Calculate: -41 / (-39) + 761", "solution_steps": ["Divide: -41 / (-39) = 41/39", "Add: 41/39 + 761 = 29720/39"], "final_answer": "29720/39", "answer_type": "rational", "kind": "expression", "math_text": "-41 / (-39) + 761", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -39, \"c\": 761}", "seed": "18131396606009685265", "semantic_fingerprint": "sha256:c0a3c1724726aba023479d8c92b77e3c7e46791923699f4784bbdca70197f676", "generator_version": "3.0"}
{"id": "v3_val_00001729", "prompt": "Calculate: (-785 - 47) / (-74)", "solution_steps": ["Subtract: -785 - 47 = -832", "Divide: -832 / (-74) = 416/37"], "final_answer": "416/37", "answer_type": "rational", "kind": "expression", "math_text": "(-785 - 47) / (-74)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -785, \"b\": 47, \"c\": -74}", "seed": "7001447801818383927", "semantic_fingerprint": "sha256:5cbb8554d9e4b090ff983230cecdc735dad7f87e6376bb779aee8bca9266387a", "generator_version": "3.0"}
{"id": "v3_val_00001730", "prompt": "Compute: 180 - 73", "solution_steps": ["Subtract: 180 - 73 = 107"], "final_answer": "107", "answer_type": "integer", "kind": "expression", "math_text": "180 - 73", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 180, \"b\": 73}", "seed": "15433241439171151508", "semantic_fingerprint": "sha256:3f2b5295f0647ae8bfea6b4360657cc93ff976114cd9c93da1d4adae8751c76f", "generator_version": "3.0"}
{"id": "v3_val_00001731", "prompt": "Find x: x + 204 = -11x", "solution_steps": ["Add 11x to both sides: 12x + 204 = 0", "Subtract 204 from both sides: 12x = -204", "Divide both sides by 12: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 204 = -11x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"c\": 204, \"x\": -17}", "seed": "9093169491847750090", "semantic_fingerprint": "sha256:340125f2b62062dcd4a3e8c3e82177f2eb5b002997226e8058530e798a9ca5d6", "generator_version": "3.0"}
{"id": "v3_val_00001732", "prompt": "What value of x satisfies x = 2x - 13?", "solution_steps": ["Subtract 2x from both sides: -x = -13", "Divide both sides by -1: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2x - 13", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"c\": -13, \"x\": 13}", "seed": "12049437662726871460", "semantic_fingerprint": "sha256:53d1bd970d53602053570fcb2d7db95617fb1ad05130ead27be9b11d25e91c31", "generator_version": "3.0"}
{"id": "v3_val_00001733", "prompt": "Evaluate: (-2 + 540) * (-8 / (-63))", "solution_steps": ["Add: -2 + 540 = 538", "Divide: -8 / (-63) = 8/63", "Multiply: 538 * (8/63) = 4304/63"], "final_answer": "4304/63", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + 540) * (-8 / (-63))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 540, \"c\": -8, \"d\": -63}", "seed": "23685800110378216", "semantic_fingerprint": "sha256:00516961a9e0fb3ecc90cfdaef4afb6635cd0cc5c9a544120c24f7b2e00c0d73", "generator_version": "3.0"}
{"id": "v3_val_00001734", "prompt": "What is 5 - (52 + (-28) / (-29))?", "solution_steps": ["Divide: -28 / (-29) = 28/29", "Add: 52 + 28/29 = 1536/29", "Subtract: 5 - 1536/29 = -1391/29"], "final_answer": "-1391/29", "answer_type": "rational", "kind": "expression", "math_text": "5 - (52 + (-28) / (-29))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 52, \"c\": -28, \"d\": -29}", "seed": "3719186698857244693", "semantic_fingerprint": "sha256:c0d3161c3a4901a279f3bc66ad70c1c82986de6fc74d685ecc13716cf7491a0b", "generator_version": "3.0"}
{"id": "v3_val_00001735", "prompt": "Find x: -10x = -110", "solution_steps": ["Divide both sides by -10: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = -110", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"c\": -110, \"x\": 11}", "seed": "3085310905734811648", "semantic_fingerprint": "sha256:71aa0641fc86be0b849980aad240414735f17149b2f8b0c82c2ca28db412fca7", "generator_version": "3.0"}
{"id": "v3_val_00001736", "prompt": "Calculate: 86 - 738 + (-9) - (548 + (-222))", "solution_steps": ["Subtract: 86 - 738 = -652", "Add: -652 + (-9) = -661", "Add: 548 + (-222) = 326", "Subtract: -661 - 326 = -987"], "final_answer": "-987", "answer_type": "integer", "kind": "expression", "math_text": "86 - 738 + (-9) - (548 + (-222))", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 738, \"c\": -9, \"d\": 548, \"e\": -222}", "seed": "17039384461121380780", "semantic_fingerprint": "sha256:0f0b84db9fae4a3c598b6909836f5fd9656f6a26b75f7b820bed274d0a31e30d", "generator_version": "3.0"}
{"id": "v3_val_00001737", "prompt": "Compute: (68 + (-9)) / (-348 - (-72))", "solution_steps": ["Add: 68 + (-9) = 59", "Subtract: -348 - (-72) = -276", "Divide: 59 / (-276) = -59/276"], "final_answer": "-59/276", "answer_type": "rational", "kind": "expression", "math_text": "(68 + (-9)) / (-348 - (-72))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -9, \"c\": -348, \"d\": -72}", "seed": "7566632536994571865", "semantic_fingerprint": "sha256:41118f4fa6b75e3c1eca251ea3c29d4dda4bc7c109e75b75655fd2dd02a889cc", "generator_version": "3.0"}
{"id": "v3_val_00001738", "prompt": "Solve the equation -4(x + 120) + 74 = -8(x - 33) + 52 for x.", "solution_steps": ["Expand: -4x - 480 + 74 = -8(x - 33) + 52", "Expand: -4x - 480 + 74 = -8x + 264 + 52", "Combine constants: -4x - 406 = -8x + 264 + 52", "Combine constants: -4x - 406 = -8x + 316", "Add 8x to both sides: 4x - 406 = 316", "Add 406 to both sides: 4x = 722", "Divide both sides by 4: x = 361/2"], "final_answer": "361/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 120) + 74 = -8(x - 33) + 52", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 120, \"c\": 74, \"d\": -8, \"e\": 33, \"f\": 52}", "seed": "3837339133393203589", "semantic_fingerprint": "sha256:b0a519c618654eaa87e8395b31b05ec20dec8e1a27c2e872dbd623230f640f3e", "generator_version": "3.0"}
{"id": "v3_val_00001739", "prompt": "Find x: 5(x - 45) + 671 = 7(x - 1) + 463", "solution_steps": ["Expand: 5x - 225 + 671 = 7(x - 1) + 463", "Expand: 5x - 225 + 671 = 7x - 7 + 463", "Combine constants: 5x + 446 = 7x - 7 + 463", "Combine constants: 5x + 446 = 7x + 456", "Subtract 7x from both sides: -2x + 446 = 456", "Subtract 446 from both sides: -2x = 10", "Divide both sides by -2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 45) + 671 = 7(x - 1) + 463", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 45, \"c\": 671, \"d\": 7, \"e\": 1, \"g\": 463, \"x\": -5}", "seed": "13381172669702244676", "semantic_fingerprint": "sha256:4a2a06c1a60134c8775159ccb678207a41e1fd4427b8a8ab34b58336996ad794", "generator_version": "3.0"}
{"id": "v3_val_00001740", "prompt": "Find x: 5x + 5 = 7(x + 12) - 62", "solution_steps": ["Expand: 5x + 5 = 7x + 84 - 62", "Combine constants: 5x + 5 = 7x + 22", "Subtract 7x from both sides: -2x + 5 = 22", "Subtract 5 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": "5x + 5 = 7(x + 12) - 62", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 7, \"d\": 12, \"e\": 62}", "seed": "3414788359719165575", "semantic_fingerprint": "sha256:0899a3b3844272a5068458705075401f780d394b44a9f3e6c3208ee0e16b2ae0", "generator_version": "3.0"}
{"id": "v3_val_00001741", "prompt": "Evaluate: 438 * 998", "solution_steps": ["Multiply: 438 * 998 = 437124"], "final_answer": "437124", "answer_type": "integer", "kind": "expression", "math_text": "438 * 998", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 438, \"b\": 998}", "seed": "17223521412754577403", "semantic_fingerprint": "sha256:cd862a254c6c1d5a30ced501f15202db8f311168e4f97999e09d0b8c809012f7", "generator_version": "3.0"}
{"id": "v3_val_00001742", "prompt": "Calculate: 85 + (-853 + 1 * (-149))", "solution_steps": ["Multiply: 1 * (-149) = -149", "Add: -853 + (-149) = -1002", "Add: 85 + (-1002) = -917"], "final_answer": "-917", "answer_type": "integer", "kind": "expression", "math_text": "85 + (-853 + 1 * (-149))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -853, \"c\": 1, \"d\": -149}", "seed": "13950772773697739902", "semantic_fingerprint": "sha256:38991eacc7a6a59e0cb83f028f2eb623354ad5dd7ab73bc651756a356faef380", "generator_version": "3.0"}
{"id": "v3_val_00001743", "prompt": "Solve the equation 4(x - 254) = 9(x - 27) - 733 for x.", "solution_steps": ["Expand: 4x - 1016 = 9(x - 27) - 733", "Expand: 4x - 1016 = 9x - 243 - 733", "Combine constants: 4x - 1016 = 9x - 976", "Subtract 9x from both sides: -5x - 1016 = -976", "Add 1016 to both sides: -5x = 40", "Divide both sides by -5: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 254) = 9(x - 27) - 733", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 254, \"c\": 9, \"d\": 27, \"f\": -733, \"x\": -8}", "seed": "7548919725366650090", "semantic_fingerprint": "sha256:e6fade21992a1069f43bda6ca8ef9c14b0a9a9002a76bd6fd0440747c3f82331", "generator_version": "3.0"}
{"id": "v3_val_00001744", "prompt": "Calculate: 0 + 9", "solution_steps": ["Add: 0 + 9 = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "0 + 9", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9}", "seed": "2018520974387176525", "semantic_fingerprint": "sha256:8c837251c135bb62c809dcd6281b498a65cddb54b19dd4a54f6885886f8000ab", "generator_version": "3.0"}
{"id": "v3_val_00001745", "prompt": "Calculate: -9 + (-2) + (-5) - 983", "solution_steps": ["Add: -9 + (-2) = -11", "Add: -11 + (-5) = -16", "Subtract: -16 - 983 = -999"], "final_answer": "-999", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (-2) + (-5) - 983", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": -5, \"d\": 983}", "seed": "7900663294597801333", "semantic_fingerprint": "sha256:cf7f03d863d8432eb38b5959fde74c9a08510e4d388f2fd194d0b59ddbb82040", "generator_version": "3.0"}
{"id": "v3_val_00001746", "prompt": "Solve for x: -5(x + 14) = -11(x - 5)", "solution_steps": ["Expand: -5x - 70 = -11(x - 5)", "Expand: -5x - 70 = -11x + 55", "Add 11x to both sides: 6x - 70 = 55", "Add 70 to both sides: 6x = 125", "Divide both sides by 6: x = 125/6"], "final_answer": "125/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 14) = -11(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 14, \"c\": -11, \"d\": 5}", "seed": "11904305529666509029", "semantic_fingerprint": "sha256:48ba3881aa7c0d643dea33e2ede5b22ce91dcc3ca178012a631e86c5372be5df", "generator_version": "3.0"}
{"id": "v3_val_00001747", "prompt": "Solve for x: -5(x + 77) = 4(x + 49) - 689", "solution_steps": ["Expand: -5x - 385 = 4(x + 49) - 689", "Expand: -5x - 385 = 4x + 196 - 689", "Combine constants: -5x - 385 = 4x - 493", "Subtract 4x from both sides: -9x - 385 = -493", "Add 385 to both sides: -9x = -108", "Divide both sides by -9: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 77) = 4(x + 49) - 689", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 77, \"c\": 4, \"d\": 49, \"f\": -689, \"x\": 12}", "seed": "14164484942984948596", "semantic_fingerprint": "sha256:a5367cd4da4784468fc04a51c793807ce98cb1e0efa0483ea3d378bbd9eb83a1", "generator_version": "3.0"}
{"id": "v3_val_00001748", "prompt": "Solve for x: 2(x + 4) - 123 = 10(x - 47) + 475", "solution_steps": ["Expand: 2x + 8 - 123 = 10(x - 47) + 475", "Expand: 2x + 8 - 123 = 10x - 470 + 475", "Combine constants: 2x - 115 = 10x - 470 + 475", "Combine constants: 2x - 115 = 10x + 5", "Subtract 10x from both sides: -8x - 115 = 5", "Add 115 to both sides: -8x = 120", "Divide both sides by -8: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 4) - 123 = 10(x - 47) + 475", "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\": 123, \"d\": 10, \"e\": 47, \"g\": 475, \"x\": -15}", "seed": "492871380263171203", "semantic_fingerprint": "sha256:3e13464457e1116217a9f561075bfb6588e240e7c9b18a28c04c0541d5bf6ea1", "generator_version": "3.0"}
{"id": "v3_val_00001749", "prompt": "Compute: -62 + (-54) + (-8 - (-458))", "solution_steps": ["Add: -62 + (-54) = -116", "Subtract: -8 - (-458) = 450", "Add: -116 + 450 = 334"], "final_answer": "334", "answer_type": "integer", "kind": "expression", "math_text": "-62 + (-54) + (-8 - (-458))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -54, \"c\": -8, \"d\": -458}", "seed": "2317722604630539980", "semantic_fingerprint": "sha256:782d91be2410dbc28939dc23a77e8d0cde0e00cef551f4aa47a94a7a34ab0314", "generator_version": "3.0"}
{"id": "v3_val_00001750", "prompt": "What is (7 - (-492) + (-8)) / (-54) - (50 + 6)?", "solution_steps": ["Subtract: 7 - (-492) = 499", "Add: 499 + (-8) = 491", "Divide: 491 / (-54) = -491/54", "Add: 50 + 6 = 56", "Subtract: -491/54 - 56 = -3515/54"], "final_answer": "-3515/54", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (-492) + (-8)) / (-54) - (50 + 6)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ (- n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -492, \"c\": -8, \"d\": -54, \"e\": 50, \"f\": 6}", "seed": "3517472669821969352", "semantic_fingerprint": "sha256:ea1638b044e0b31b27faaf62ac5f233bb15ea3a2145814694a2bb092d2b069d5", "generator_version": "3.0"}
{"id": "v3_val_00001751", "prompt": "Evaluate: -7 + (37 - (-39) * (-2))", "solution_steps": ["Multiply: -39 * (-2) = 78", "Subtract: 37 - 78 = -41", "Add: -7 + (-41) = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (37 - (-39) * (-2))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 37, \"c\": -39, \"d\": -2}", "seed": "15686131241811350317", "semantic_fingerprint": "sha256:96d98361114afb74100f2a9030426568186a5633f5433e85ebb3630615691a8b", "generator_version": "3.0"}
{"id": "v3_val_00001752", "prompt": "What is 5 - 46 - (-5 + 2 / (-2))?", "solution_steps": ["Subtract: 5 - 46 = -41", "Divide: 2 / (-2) = -1", "Add: -5 + (-1) = -6", "Subtract: -41 - (-6) = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "expression", "math_text": "5 - 46 - (-5 + 2 / (-2))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 46, \"c\": -5, \"d\": 2, \"e\": -2}", "seed": "8436469211128085010", "semantic_fingerprint": "sha256:a220e47122d8c3cafb75d6b8aedb800577bc040579e9a2ca678673831cdeca3b", "generator_version": "3.0"}
{"id": "v3_val_00001753", "prompt": "Evaluate: -30 / (167 * 56 + 7)", "solution_steps": ["Multiply: 167 * 56 = 9352", "Add: 9352 + 7 = 9359", "Divide: -30 / 9359 = -30/9359"], "final_answer": "-30/9359", "answer_type": "rational", "kind": "expression", "math_text": "-30 / (167 * 56 + 7)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": 167, \"c\": 56, \"d\": 7}", "seed": "13794611648599389134", "semantic_fingerprint": "sha256:e6e6a0c8cb66fc85d274e03e29fd9074cabeef733bda723222326a4c78169085", "generator_version": "3.0"}
{"id": "v3_val_00001754", "prompt": "What is 6 + (-5) - (-75) - 891 * 1?", "solution_steps": ["Add: 6 + (-5) = 1", "Subtract: 1 - (-75) = 76", "Multiply: 891 * 1 = 891", "Subtract: 76 - 891 = -815"], "final_answer": "-815", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-5) - (-75) - 891 * 1", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -5, \"c\": -75, \"d\": 891, \"e\": 1}", "seed": "14228827297728173318", "semantic_fingerprint": "sha256:c53e829ac444651691cef160b29a521439a43993024be41808a56c6780668c36", "generator_version": "3.0"}
{"id": "v3_val_00001755", "prompt": "What is 9 / 91 * 6 * (-456)?", "solution_steps": ["Divide: 9 / 91 = 9/91", "Multiply: (9/91) * 6 = 54/91", "Multiply: (54/91) * (-456) = -24624/91"], "final_answer": "-24624/91", "answer_type": "rational", "kind": "expression", "math_text": "9 / 91 * 6 * (-456)", "variable": null, "family": "expression_3op", "shape": "(* (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 91, \"c\": 6, \"d\": -456}", "seed": "2492008832405289624", "semantic_fingerprint": "sha256:d82bf87a39cff371f99dce66f01009fdfd8eb5a0c6f6b29c010e700cefc89251", "generator_version": "3.0"}
{"id": "v3_val_00001756", "prompt": "Compute: -14 - 59", "solution_steps": ["Subtract: -14 - 59 = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "expression", "math_text": "-14 - 59", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 59}", "seed": "14371795208009817096", "semantic_fingerprint": "sha256:a472036c4dcab056d0e5cd853dd96347ed3d77e346cf111a2c482f2008a7c9fc", "generator_version": "3.0"}
{"id": "v3_val_00001757", "prompt": "Calculate: 557 + (-89 - 6)", "solution_steps": ["Subtract: -89 - 6 = -95", "Add: 557 + (-95) = 462"], "final_answer": "462", "answer_type": "integer", "kind": "expression", "math_text": "557 + (-89 - 6)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 557, \"b\": -89, \"c\": 6}", "seed": "10420905268596361818", "semantic_fingerprint": "sha256:d913b8933d64a4b94c2994856320b1fb560135556b2b8c7470d90e942fc2f103", "generator_version": "3.0"}
{"id": "v3_val_00001758", "prompt": "Compute: 3 / (-67) + (798 - (-809))", "solution_steps": ["Divide: 3 / (-67) = -3/67", "Subtract: 798 - (-809) = 1607", "Add: -3/67 + 1607 = 107666/67"], "final_answer": "107666/67", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-67) + (798 - (-809))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -67, \"c\": 798, \"d\": -809}", "seed": "10618031703776679773", "semantic_fingerprint": "sha256:95d6073755cb6382fbf27bba86f78e85e20c944f70e5660aa607343e52daaa4f", "generator_version": "3.0"}
{"id": "v3_val_00001759", "prompt": "What is -5 / 81 - (-7 + (-50))?", "solution_steps": ["Divide: -5 / 81 = -5/81", "Add: -7 + (-50) = -57", "Subtract: -5/81 - (-57) = 4612/81"], "final_answer": "4612/81", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 81 - (-7 + (-50))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 81, \"c\": -7, \"d\": -50}", "seed": "1863736530414626370", "semantic_fingerprint": "sha256:bb439cb25bf4e52b2402b8d59813de8e68225ef102b93639584abaa796fa2d00", "generator_version": "3.0"}
{"id": "v3_val_00001760", "prompt": "Compute: -2 * 81", "solution_steps": ["Multiply: -2 * 81 = -162"], "final_answer": "-162", "answer_type": "integer", "kind": "expression", "math_text": "-2 * 81", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 81}", "seed": "12403601498244442227", "semantic_fingerprint": "sha256:9033724485d14bf7739cb6476f4ae560f31d953730e6d479fae447416cc30a2c", "generator_version": "3.0"}
{"id": "v3_val_00001761", "prompt": "Solve for x: 10(x + 6) = 260", "solution_steps": ["Expand: 10x + 60 = 260", "Subtract 60 from both sides: 10x = 200", "Divide both sides by 10: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 6) = 260", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"d\": 260, \"x\": 20}", "seed": "17266283056521689929", "semantic_fingerprint": "sha256:7d34cfd5d5fa941c7aa1b726d32f84bff239f5a313b8fdf58b32791f45922e62", "generator_version": "3.0"}
{"id": "v3_val_00001762", "prompt": "Evaluate: -1 + (-32)", "solution_steps": ["Add: -1 + (-32) = -33"], "final_answer": "-33", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-32)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -32}", "seed": "18035420597221950762", "semantic_fingerprint": "sha256:9ab07a99b1cdeac7f96eba81dafb6226c562e7451f6a516f9b24f473af245cab", "generator_version": "3.0"}
{"id": "v3_val_00001763", "prompt": "Calculate: (96 + (-130) / (-875)) * 1", "solution_steps": ["Divide: -130 / (-875) = 26/175", "Add: 96 + 26/175 = 16826/175", "Multiply: (16826/175) * 1 = 16826/175"], "final_answer": "16826/175", "answer_type": "rational", "kind": "expression", "math_text": "(96 + (-130) / (-875)) * 1", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -130, \"c\": -875, \"d\": 1}", "seed": "9392234989634049282", "semantic_fingerprint": "sha256:dd8f5edd998ceba290d5c592e308c730c137caf3fb5fca3cf9e8f31f0b663db0", "generator_version": "3.0"}
{"id": "v3_val_00001764", "prompt": "What value of x satisfies -2x - 57 = x + 24?", "solution_steps": ["Subtract x from both sides: -3x - 57 = 24", "Add 57 to both sides: -3x = 81", "Divide both sides by -3: x = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 57 = x + 24", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 57, \"c\": 24}", "seed": "321451042186111366", "semantic_fingerprint": "sha256:eb9ba2987eb50d85494e9952d1f2ce777d2219265fdebf84fd6f4cfbeba92fee", "generator_version": "3.0"}
{"id": "v3_val_00001765", "prompt": "Solve the equation 4x + 33 = x for x.", "solution_steps": ["Subtract x from both sides: 3x + 33 = 0", "Subtract 33 from both sides: 3x = -33", "Divide both sides by 3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 33 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": 33, \"x\": -11}", "seed": "2206852427400947954", "semantic_fingerprint": "sha256:1039e1378270a24056639e6c88e86c98b1c865f6cdeaa5cb39fe17a9d62e045f", "generator_version": "3.0"}
{"id": "v3_val_00001766", "prompt": "Compute: -70 / 68 * 14", "solution_steps": ["Divide: -70 / 68 = -35/34", "Multiply: (-35/34) * 14 = -245/17"], "final_answer": "-245/17", "answer_type": "rational", "kind": "expression", "math_text": "-70 / 68 * 14", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 68, \"c\": 14}", "seed": "1115586938812455270", "semantic_fingerprint": "sha256:035acdad093a1cfe79908b58ed62e45cad76b7286a5dcdef536fc36b62512b38", "generator_version": "3.0"}
{"id": "v3_val_00001767", "prompt": "Calculate: 542 + 5 * (-3)", "solution_steps": ["Multiply: 5 * (-3) = -15", "Add: 542 + (-15) = 527"], "final_answer": "527", "answer_type": "integer", "kind": "expression", "math_text": "542 + 5 * (-3)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 542, \"b\": 5, \"c\": -3}", "seed": "17597913772183429604", "semantic_fingerprint": "sha256:803c0791d510015dd3c9789499a640fc37d59996eda87ea4daf71ae4ce7d2ccf", "generator_version": "3.0"}
{"id": "v3_val_00001768", "prompt": "What is (243 - (-1)) * (-432)?", "solution_steps": ["Subtract: 243 - (-1) = 244", "Multiply: 244 * (-432) = -105408"], "final_answer": "-105408", "answer_type": "integer", "kind": "expression", "math_text": "(243 - (-1)) * (-432)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 243, \"b\": -1, \"c\": -432}", "seed": "1535208963656736611", "semantic_fingerprint": "sha256:dc3b8324ae1632d067ce873b00e9ebddc9dd3939e49e8427625445c3521970a1", "generator_version": "3.0"}
{"id": "v3_val_00001769", "prompt": "Evaluate: (-23 + (-3)) / 48", "solution_steps": ["Add: -23 + (-3) = -26", "Divide: -26 / 48 = -13/24"], "final_answer": "-13/24", "answer_type": "rational", "kind": "expression", "math_text": "(-23 + (-3)) / 48", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -3, \"c\": 48}", "seed": "11872035042537444743", "semantic_fingerprint": "sha256:6ee8199ce59949ccef73c92355e1d80e13b8a688fef640500f2b67f046793a9c", "generator_version": "3.0"}
{"id": "v3_val_00001770", "prompt": "Evaluate: 8 - (4 * 98 - 34)", "solution_steps": ["Multiply: 4 * 98 = 392", "Subtract: 392 - 34 = 358", "Subtract: 8 - 358 = -350"], "final_answer": "-350", "answer_type": "integer", "kind": "expression", "math_text": "8 - (4 * 98 - 34)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 98, \"d\": 34}", "seed": "637938775278726212", "semantic_fingerprint": "sha256:cf4a634d08324ae2236669909db226cf1cd8feaa821357f4c9873e117e84499e", "generator_version": "3.0"}
{"id": "v3_val_00001771", "prompt": "Evaluate: 19 - (-81 - 2) * (-3)", "solution_steps": ["Subtract: -81 - 2 = -83", "Multiply: -83 * (-3) = 249", "Subtract: 19 - 249 = -230"], "final_answer": "-230", "answer_type": "integer", "kind": "expression", "math_text": "19 - (-81 - 2) * (-3)", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -81, \"c\": 2, \"d\": -3}", "seed": "3384808763543723459", "semantic_fingerprint": "sha256:1dd859ebf794269d4d0b38edd9e7041793789d413c0f277f33761f1b388bef54", "generator_version": "3.0"}
{"id": "v3_val_00001772", "prompt": "Calculate: 90 + (38 / (325 * 6) + 910 / (-2))", "solution_steps": ["Multiply: 325 * 6 = 1950", "Divide: 38 / 1950 = 19/975", "Divide: 910 / (-2) = -455", "Add: 19/975 + (-455) = -443606/975", "Add: 90 + (-443606/975) = -355856/975"], "final_answer": "-355856/975", "answer_type": "rational", "kind": "expression", "math_text": "90 + (38 / (325 * 6) + 910 / (-2))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ n (* n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 38, \"c\": 325, \"d\": 6, \"e\": 910, \"f\": -2}", "seed": "610651380667868719", "semantic_fingerprint": "sha256:6cccafd48ab9ea785f942ebfd0c4e58ef0cec8e9d8a5a02ddbad3e3ee16298f2", "generator_version": "3.0"}
{"id": "v3_val_00001773", "prompt": "Find x: 8(x - 4) + 6 = 2(x + 1) + 8", "solution_steps": ["Expand: 8x - 32 + 6 = 2(x + 1) + 8", "Expand: 8x - 32 + 6 = 2x + 2 + 8", "Combine constants: 8x - 26 = 2x + 2 + 8", "Combine constants: 8x - 26 = 2x + 10", "Subtract 2x from both sides: 6x - 26 = 10", "Add 26 to both sides: 6x = 36", "Divide both sides by 6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 4) + 6 = 2(x + 1) + 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\": 4, \"c\": 6, \"d\": 2, \"e\": 1, \"g\": 8, \"x\": 6}", "seed": "17555490790952011980", "semantic_fingerprint": "sha256:172ab0916a6af20e76e3464ab98c173e7197f89eddbe3d4e418837cf0fd6ec10", "generator_version": "3.0"}
{"id": "v3_val_00001774", "prompt": "Evaluate: 55 * (-2) / 86", "solution_steps": ["Multiply: 55 * (-2) = -110", "Divide: -110 / 86 = -55/43"], "final_answer": "-55/43", "answer_type": "rational", "kind": "expression", "math_text": "55 * (-2) / 86", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -2, \"c\": 86}", "seed": "5570849335931494136", "semantic_fingerprint": "sha256:124b69c449e47062792290069a7593258b868500d2c9da86f0c452d696e1983f", "generator_version": "3.0"}
{"id": "v3_val_00001775", "prompt": "Evaluate: -259 + 92 - (-8)", "solution_steps": ["Add: -259 + 92 = -167", "Subtract: -167 - (-8) = -159"], "final_answer": "-159", "answer_type": "integer", "kind": "expression", "math_text": "-259 + 92 - (-8)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -259, \"b\": 92, \"c\": -8}", "seed": "8301913010848664080", "semantic_fingerprint": "sha256:64e21c34e343f2d0d46c9c36e38327e456fec16ab40bad2d18f0c7f077c84922", "generator_version": "3.0"}
{"id": "v3_val_00001776", "prompt": "Evaluate: 4 / (-28) * (-283 * 9)", "solution_steps": ["Divide: 4 / (-28) = -1/7", "Multiply: -283 * 9 = -2547", "Multiply: (-1/7) * (-2547) = 2547/7"], "final_answer": "2547/7", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-28) * (-283 * 9)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -28, \"c\": -283, \"d\": 9}", "seed": "1716009564469090647", "semantic_fingerprint": "sha256:413982f09fca775e2dc20311aa832eb4539a882b66e45b0bc05100159919a7b8", "generator_version": "3.0"}
{"id": "v3_val_00001777", "prompt": "Calculate: -769 - (-3) / 2", "solution_steps": ["Divide: -3 / 2 = -3/2", "Subtract: -769 - (-3/2) = -1535/2"], "final_answer": "-1535/2", "answer_type": "rational", "kind": "expression", "math_text": "-769 - (-3) / 2", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -769, \"b\": -3, \"c\": 2}", "seed": "17243757965499406979", "semantic_fingerprint": "sha256:e3d1bec0cdb61c0cabca22038503b4f85cf0254faf84a9e5df004230310570a1", "generator_version": "3.0"}
{"id": "v3_val_00001778", "prompt": "Solve for x: -7(x + 18) - 68 = 74", "solution_steps": ["Expand: -7x - 126 - 68 = 74", "Combine constants: -7x - 194 = 74", "Add 194 to both sides: -7x = 268", "Divide both sides by -7: x = -268/7"], "final_answer": "-268/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 18) - 68 = 74", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 18, \"c\": 68, \"d\": 74}", "seed": "12531520754814647621", "semantic_fingerprint": "sha256:92456a9de6a249cd2822865bc604d62854e08fd1d20e8213f0de08555c6c00bc", "generator_version": "3.0"}
{"id": "v3_val_00001779", "prompt": "Compute: 0 * (-78 * (-86)) - (-562 - (-93))", "solution_steps": ["Multiply: -78 * (-86) = 6708", "Multiply: 0 * 6708 = 0", "Subtract: -562 - (-93) = -469", "Subtract: 0 - (-469) = 469"], "final_answer": "469", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-78 * (-86)) - (-562 - (-93))", "variable": null, "family": "expression_4op", "shape": "(- (* n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -78, \"c\": -86, \"d\": -562, \"e\": -93}", "seed": "16665844993313505394", "semantic_fingerprint": "sha256:9cbeabf3945518bb28c2b49e3fee885f3af5c45db1badfd730df5d806879d5e9", "generator_version": "3.0"}
{"id": "v3_val_00001780", "prompt": "What is 58 + (-443 - (-427 - (-886))) / 206?", "solution_steps": ["Subtract: -427 - (-886) = 459", "Subtract: -443 - 459 = -902", "Divide: -902 / 206 = -451/103", "Add: 58 + (-451/103) = 5523/103"], "final_answer": "5523/103", "answer_type": "rational", "kind": "expression", "math_text": "58 + (-443 - (-427 - (-886))) / 206", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (- n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -443, \"c\": -427, \"d\": -886, \"e\": 206}", "seed": "17257368891904216824", "semantic_fingerprint": "sha256:26416bcd1c3fa9f58f31a4fe6829aa744bf14bc97a147c35cf1700a892ce6e57", "generator_version": "3.0"}
{"id": "v3_val_00001781", "prompt": "Calculate: (4 + (-3) * 6) * (-25 / 81)", "solution_steps": ["Multiply: -3 * 6 = -18", "Add: 4 + (-18) = -14", "Divide: -25 / 81 = -25/81", "Multiply: -14 * (-25/81) = 350/81"], "final_answer": "350/81", "answer_type": "rational", "kind": "expression", "math_text": "(4 + (-3) * 6) * (-25 / 81)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -3, \"c\": 6, \"d\": -25, \"e\": 81}", "seed": "11790028887288644171", "semantic_fingerprint": "sha256:251f1bb53cdc4edf3bcd3ea04bdc6fa08b93f949bd51d31ed9e2eaad91c7cb32", "generator_version": "3.0"}
{"id": "v3_val_00001782", "prompt": "Solve for x: 5x + 8 = x - 72", "solution_steps": ["Subtract x from both sides: 4x + 8 = -72", "Subtract 8 from both sides: 4x = -80", "Divide both sides by 4: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 8 = x - 72", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"d\": -72, \"x\": -20}", "seed": "15048922081578464410", "semantic_fingerprint": "sha256:43ee1ff731bc8668689394ea120a5fed13bb580095f4256b7b2ae80f8c664f1f", "generator_version": "3.0"}
{"id": "v3_val_00001783", "prompt": "What value of x satisfies 8(x - 34) = 9(x - 3) - 226?", "solution_steps": ["Expand: 8x - 272 = 9(x - 3) - 226", "Expand: 8x - 272 = 9x - 27 - 226", "Combine constants: 8x - 272 = 9x - 253", "Subtract 9x from both sides: -x - 272 = -253", "Add 272 to both sides: -x = 19", "Divide both sides by -1: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 34) = 9(x - 3) - 226", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 34, \"c\": 9, \"d\": 3, \"f\": -226, \"x\": -19}", "seed": "6833491440738714505", "semantic_fingerprint": "sha256:825f4c2143076541107c99cc13e90acb964f991af19ec5f6c168ccbe8466c78a", "generator_version": "3.0"}
{"id": "v3_val_00001784", "prompt": "Evaluate: 86 + 6 / 27", "solution_steps": ["Divide: 6 / 27 = 2/9", "Add: 86 + 2/9 = 776/9"], "final_answer": "776/9", "answer_type": "rational", "kind": "expression", "math_text": "86 + 6 / 27", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 6, \"c\": 27}", "seed": "10231200973767539893", "semantic_fingerprint": "sha256:e47041215ce5bb7ef564791b00a5e9cdc4bf3fd3469551c4ae3494f36430e603", "generator_version": "3.0"}
{"id": "v3_val_00001785", "prompt": "What value of x satisfies x - 5 = -11(x + 76) + 603?", "solution_steps": ["Expand: x - 5 = -11x - 836 + 603", "Combine constants: x - 5 = -11x - 233", "Add 11x to both sides: 12x - 5 = -233", "Add 5 to both sides: 12x = -228", "Divide both sides by 12: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = -11(x + 76) + 603", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -11, \"c\": 76, \"e\": 603, \"x\": -19}", "seed": "5298160476188894249", "semantic_fingerprint": "sha256:34d4bbb16b8afed49f39d7f567e75e3f79b2cb571e7c3116073483ed4fac1f6b", "generator_version": "3.0"}
{"id": "v3_val_00001786", "prompt": "Compute: -1 / 8 / 35", "solution_steps": ["Divide: -1 / 8 = -1/8", "Divide: (-1/8) / 35 = -1/280"], "final_answer": "-1/280", "answer_type": "rational", "kind": "expression", "math_text": "-1 / 8 / 35", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 8, \"c\": 35}", "seed": "6412765919839348725", "semantic_fingerprint": "sha256:f29550c9833e8f5a138c7540dde6806b273b4829546ab2dd1f0eea4b14b0bd2e", "generator_version": "3.0"}
{"id": "v3_val_00001787", "prompt": "What is 4 + 1 / 9 / (39 - 9)?", "solution_steps": ["Divide: 1 / 9 = 1/9", "Subtract: 39 - 9 = 30", "Divide: (1/9) / 30 = 1/270", "Add: 4 + 1/270 = 1081/270"], "final_answer": "1081/270", "answer_type": "rational", "kind": "expression", "math_text": "4 + 1 / 9 / (39 - 9)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 9, \"d\": 39, \"e\": 9}", "seed": "12848923023951957190", "semantic_fingerprint": "sha256:95907f2e3981e5129d3923fffdbe5b325a13f256802cfb9126c54fc4f1a0e63e", "generator_version": "3.0"}
{"id": "v3_val_00001788", "prompt": "Compute: (-88 - 0) * (-42)", "solution_steps": ["Subtract: -88 - 0 = -88", "Multiply: -88 * (-42) = 3696"], "final_answer": "3696", "answer_type": "integer", "kind": "expression", "math_text": "(-88 - 0) * (-42)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 0, \"c\": -42}", "seed": "16954840874308401542", "semantic_fingerprint": "sha256:ea8365c1ffc7c0285f7a7b390d944f2da7891d345b0405db736b142444a2b864", "generator_version": "3.0"}
{"id": "v3_val_00001789", "prompt": "Calculate: 54 / 2", "solution_steps": ["Divide: 54 / 2 = 27"], "final_answer": "27", "answer_type": "integer", "kind": "expression", "math_text": "54 / 2", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 2}", "seed": "15893262333454126376", "semantic_fingerprint": "sha256:9e61aadb6127b06d180a3d8f5b83bd894ef17a67f6b36a126d1e55c6c75f77a3", "generator_version": "3.0"}
{"id": "v3_val_00001790", "prompt": "Find x: -5x - 762 = -812", "solution_steps": ["Add 762 to both sides: -5x = -50", "Divide both sides by -5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 762 = -812", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 762, \"d\": -812, \"x\": 10}", "seed": "16128500871233946705", "semantic_fingerprint": "sha256:f4677470587e9af0caf310d8671981bbfb625b5a72ed1b3ff1695d84e2c9718d", "generator_version": "3.0"}
{"id": "v3_val_00001791", "prompt": "What value of x satisfies 2(x + 2) + 366 = 7(x + 55)?", "solution_steps": ["Expand: 2x + 4 + 366 = 7(x + 55)", "Expand: 2x + 4 + 366 = 7x + 385", "Combine constants: 2x + 370 = 7x + 385", "Subtract 7x from both sides: -5x + 370 = 385", "Subtract 370 from both sides: -5x = 15", "Divide both sides by -5: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) + 366 = 7(x + 55)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 7, \"d\": 55, \"f\": 366, \"x\": -3}", "seed": "3347612408864806719", "semantic_fingerprint": "sha256:facde51b8f81b1136fcd45409f02365ba0e3ec8d2fe65af591aa1d2aca1ed7af", "generator_version": "3.0"}
{"id": "v3_val_00001792", "prompt": "Solve the equation 11x - 69 = 10(x + 76) - 2 for x.", "solution_steps": ["Expand: 11x - 69 = 10x + 760 - 2", "Combine constants: 11x - 69 = 10x + 758", "Subtract 10x from both sides: x - 69 = 758", "Add 69 to both sides: x = 827"], "final_answer": "827", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 69 = 10(x + 76) - 2", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 69, \"c\": 10, \"d\": 76, \"e\": 2}", "seed": "15138359104222606271", "semantic_fingerprint": "sha256:4c3a57f0f5255c60d759eb91d2e3d8bdaac547849013355f03c1fd3dba8ddb19", "generator_version": "3.0"}
{"id": "v3_val_00001793", "prompt": "Solve for x: -4x = 5(x - 85)", "solution_steps": ["Expand: -4x = 5x - 425", "Subtract 5x from both sides: -9x = -425", "Divide both sides by -9: x = 425/9"], "final_answer": "425/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x = 5(x - 85)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 85}", "seed": "14550002012884122991", "semantic_fingerprint": "sha256:345b70d16ad9bedf724b57fd2bdcef38143fed490a7bc64aebcee212f88c7a59", "generator_version": "3.0"}
{"id": "v3_val_00001794", "prompt": "Evaluate: 98 * (-2) / (-44 + (10 * (-2) + (-43)))", "solution_steps": ["Multiply: 98 * (-2) = -196", "Multiply: 10 * (-2) = -20", "Add: -20 + (-43) = -63", "Add: -44 + (-63) = -107", "Divide: -196 / (-107) = 196/107"], "final_answer": "196/107", "answer_type": "rational", "kind": "expression", "math_text": "98 * (-2) / (-44 + (10 * (-2) + (-43)))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (+ n (+ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -2, \"c\": -44, \"d\": 10, \"e\": -2, \"f\": -43}", "seed": "1326445227971839621", "semantic_fingerprint": "sha256:a9800b865f918990560dfe441fb7d0c100cb5fd86776fb5bf8d933b5ffe38747", "generator_version": "3.0"}
{"id": "v3_val_00001795", "prompt": "What value of x satisfies 7(x - 53) + 366 = 8x?", "solution_steps": ["Expand: 7x - 371 + 366 = 8x", "Combine constants: 7x - 5 = 8x", "Subtract 8x from both sides: -x - 5 = 0", "Add 5 to both sides: -x = 5", "Divide both sides by -1: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 53) + 366 = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 53, \"c\": 8, \"e\": 366, \"x\": -5}", "seed": "11132286435658702623", "semantic_fingerprint": "sha256:790c54dbf2f7431103fb3e9f9ba022186764611e798e399e05965a68efa9a6ac", "generator_version": "3.0"}
{"id": "v3_val_00001796", "prompt": "What is 51 * (-6) / (226 / (-32))?", "solution_steps": ["Multiply: 51 * (-6) = -306", "Divide: 226 / (-32) = -113/16", "Divide: -306 / (-113/16) = 4896/113"], "final_answer": "4896/113", "answer_type": "rational", "kind": "expression", "math_text": "51 * (-6) / (226 / (-32))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -6, \"c\": 226, \"d\": -32}", "seed": "3520086651829178268", "semantic_fingerprint": "sha256:fa134ebe072081cf4314f16f17585dcf0f3f3a8dc2faee5bfd3f399e9f90c539", "generator_version": "3.0"}
{"id": "v3_val_00001797", "prompt": "Evaluate: -119 + (-5 + (-9))", "solution_steps": ["Add: -5 + (-9) = -14", "Add: -119 + (-14) = -133"], "final_answer": "-133", "answer_type": "integer", "kind": "expression", "math_text": "-119 + (-5 + (-9))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -119, \"b\": -5, \"c\": -9}", "seed": "3526226760755959020", "semantic_fingerprint": "sha256:8dbf35e83350945d49a619ac9b13fa04288995a10ce53833c7b8af9ed9658b74", "generator_version": "3.0"}
{"id": "v3_val_00001798", "prompt": "What is -93 + (-2) - (-67)?", "solution_steps": ["Add: -93 + (-2) = -95", "Subtract: -95 - (-67) = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "expression", "math_text": "-93 + (-2) - (-67)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -2, \"c\": -67}", "seed": "14886309893300572706", "semantic_fingerprint": "sha256:2a6a7462745dcb3ca154b30ca9c32ac0a412731b74f3296e856b844aaf954fac", "generator_version": "3.0"}
{"id": "v3_val_00001799", "prompt": "Evaluate: -66 * 40 + (-47)", "solution_steps": ["Multiply: -66 * 40 = -2640", "Add: -2640 + (-47) = -2687"], "final_answer": "-2687", "answer_type": "integer", "kind": "expression", "math_text": "-66 * 40 + (-47)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 40, \"c\": -47}", "seed": "7195096832260580115", "semantic_fingerprint": "sha256:bfa461d294733a44b784d46f3db1557a4031d87eb7ae85c63f99425f39e39f95", "generator_version": "3.0"}
{"id": "v3_val_00001800", "prompt": "What is 63 / (-1) * (4 + 35) + (-9) / (-9)?", "solution_steps": ["Divide: 63 / (-1) = -63", "Add: 4 + 35 = 39", "Multiply: -63 * 39 = -2457", "Divide: -9 / (-9) = 1", "Add: -2457 + 1 = -2456"], "final_answer": "-2456", "answer_type": "integer", "kind": "expression", "math_text": "63 / (-1) * (4 + 35) + (-9) / (-9)", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -1, \"c\": 4, \"d\": 35, \"e\": -9, \"f\": -9}", "seed": "15651584483280980446", "semantic_fingerprint": "sha256:b583844b7d34511ad8391d533eaada7aa30ef5c4bceb7f79357a771764ea9535", "generator_version": "3.0"}
{"id": "v3_val_00001801", "prompt": "What is -1 - (-5) + (-9 - (-468))?", "solution_steps": ["Subtract: -1 - (-5) = 4", "Subtract: -9 - (-468) = 459", "Add: 4 + 459 = 463"], "final_answer": "463", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-5) + (-9 - (-468))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -5, \"c\": -9, \"d\": -468}", "seed": "11860464837931143661", "semantic_fingerprint": "sha256:c822dd1b75e3a44d6400ae11977bd21f0c14c8e22c2048d924e7f954b445f9b8", "generator_version": "3.0"}
{"id": "v3_val_00001802", "prompt": "Solve for x: x + 16 = 686", "solution_steps": ["Subtract 16 from both sides: x = 670"], "final_answer": "670", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 16 = 686", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 686}", "seed": "2297779263290165936", "semantic_fingerprint": "sha256:6f0a9eef352a69d84d784f2176e158641b7c966a733a9e358015f7438d493c39", "generator_version": "3.0"}
{"id": "v3_val_00001803", "prompt": "Evaluate: 9 * (60 - 464 * 61)", "solution_steps": ["Multiply: 464 * 61 = 28304", "Subtract: 60 - 28304 = -28244", "Multiply: 9 * (-28244) = -254196"], "final_answer": "-254196", "answer_type": "integer", "kind": "expression", "math_text": "9 * (60 - 464 * 61)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 60, \"c\": 464, \"d\": 61}", "seed": "1971484942715271582", "semantic_fingerprint": "sha256:7c6f2d9d331d027bde6e43de99e7fee4d6499bf624d0a8a7a05e8022f081faed", "generator_version": "3.0"}
{"id": "v3_val_00001804", "prompt": "Evaluate: 41 / (-1 / (-628))", "solution_steps": ["Divide: -1 / (-628) = 1/628", "Divide: 41 / (1/628) = 25748"], "final_answer": "25748", "answer_type": "integer", "kind": "expression", "math_text": "41 / (-1 / (-628))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -1, \"c\": -628}", "seed": "5882870994487605285", "semantic_fingerprint": "sha256:8ff67c9bf2fd56ff590685c9df18af36d18b443392535d5f980c83187131c486", "generator_version": "3.0"}
{"id": "v3_val_00001805", "prompt": "What is -70 + 9 * 4 + (-457) * (-1) * 0?", "solution_steps": ["Multiply: 9 * 4 = 36", "Add: -70 + 36 = -34", "Multiply: -457 * (-1) = 457", "Multiply: 457 * 0 = 0", "Add: -34 + 0 = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "expression", "math_text": "-70 + 9 * 4 + (-457) * (-1) * 0", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n n)) (* (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 9, \"c\": 4, \"d\": -457, \"e\": -1, \"f\": 0}", "seed": "5069773139033507410", "semantic_fingerprint": "sha256:58b890c64e4876d628a2dbf1de39da927e4efba49b3247f3617c2ca6a5455388", "generator_version": "3.0"}
{"id": "v3_val_00001806", "prompt": "Calculate: -86 - 63 + (-700)", "solution_steps": ["Subtract: -86 - 63 = -149", "Add: -149 + (-700) = -849"], "final_answer": "-849", "answer_type": "integer", "kind": "expression", "math_text": "-86 - 63 + (-700)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 63, \"c\": -700}", "seed": "5227932067942677090", "semantic_fingerprint": "sha256:d1d6336ee381af620983d44fc625c051fdfd7fe9f473f3ede2919762bf2b7785", "generator_version": "3.0"}
{"id": "v3_val_00001807", "prompt": "Evaluate: -9 + 23", "solution_steps": ["Add: -9 + 23 = 14"], "final_answer": "14", "answer_type": "integer", "kind": "expression", "math_text": "-9 + 23", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 23}", "seed": "14624936619614973999", "semantic_fingerprint": "sha256:1635201b024367be9f8f21beb9049c231437d5c0261b9b97de9ed34ff5abc410", "generator_version": "3.0"}
{"id": "v3_val_00001808", "prompt": "Calculate: -770 - 9", "solution_steps": ["Subtract: -770 - 9 = -779"], "final_answer": "-779", "answer_type": "integer", "kind": "expression", "math_text": "-770 - 9", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -770, \"b\": 9}", "seed": "18339044816822242435", "semantic_fingerprint": "sha256:87ed4857a34f9041665ffd9f340a35c63c95454d30b3aedb8e598720c49423a6", "generator_version": "3.0"}
{"id": "v3_val_00001809", "prompt": "What is -557 + 17 / (-703)?", "solution_steps": ["Divide: 17 / (-703) = -17/703", "Add: -557 + (-17/703) = -391588/703"], "final_answer": "-391588/703", "answer_type": "rational", "kind": "expression", "math_text": "-557 + 17 / (-703)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -557, \"b\": 17, \"c\": -703}", "seed": "15770608787171756986", "semantic_fingerprint": "sha256:c60cfbce1e13b4c63be0cbf6b0dd1d98e976b36f118fa41cc6b4fc5a318cdd9f", "generator_version": "3.0"}
{"id": "v3_val_00001810", "prompt": "What is 6 * (-75) / (-54)?", "solution_steps": ["Multiply: 6 * (-75) = -450", "Divide: -450 / (-54) = 25/3"], "final_answer": "25/3", "answer_type": "rational", "kind": "expression", "math_text": "6 * (-75) / (-54)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -75, \"c\": -54}", "seed": "9821702467687497156", "semantic_fingerprint": "sha256:2fbc3b4b928784c4900c2caa69d37627bf3db911053cd088b071ce77c3889890", "generator_version": "3.0"}
{"id": "v3_val_00001811", "prompt": "Calculate: -64 / (-6) - 8 - (-5 - (-888))", "solution_steps": ["Divide: -64 / (-6) = 32/3", "Subtract: 32/3 - 8 = 8/3", "Subtract: -5 - (-888) = 883", "Subtract: 8/3 - 883 = -2641/3"], "final_answer": "-2641/3", "answer_type": "rational", "kind": "expression", "math_text": "-64 / (-6) - 8 - (-5 - (-888))", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -6, \"c\": 8, \"d\": -5, \"e\": -888}", "seed": "3048098440227216274", "semantic_fingerprint": "sha256:5f1ecf905d5e077975f8b0432a33bfdac73dbc2e9d6c00aaf9d7048504782ea3", "generator_version": "3.0"}
{"id": "v3_val_00001812", "prompt": "Evaluate: 3 - (82 - (-769) * 9)", "solution_steps": ["Multiply: -769 * 9 = -6921", "Subtract: 82 - (-6921) = 7003", "Subtract: 3 - 7003 = -7000"], "final_answer": "-7000", "answer_type": "integer", "kind": "expression", "math_text": "3 - (82 - (-769) * 9)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 82, \"c\": -769, \"d\": 9}", "seed": "2689083939353051812", "semantic_fingerprint": "sha256:97a20a89603c71e7a9cfc81f3a5826134c219770a42646a91bc2afa746c649de", "generator_version": "3.0"}
{"id": "v3_val_00001813", "prompt": "Solve the equation -9x + 77 = x - 63 for x.", "solution_steps": ["Subtract x from both sides: -10x + 77 = -63", "Subtract 77 from both sides: -10x = -140", "Divide both sides by -10: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 77 = x - 63", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 77, \"d\": -63, \"x\": 14}", "seed": "1601034403726432407", "semantic_fingerprint": "sha256:a9c9ad80b5594b6f6252bfbbde4c26b7703da9295de3f505ed657f60a9c72f11", "generator_version": "3.0"}
{"id": "v3_val_00001814", "prompt": "What is -41 * (35 - (-39) / 7)?", "solution_steps": ["Divide: -39 / 7 = -39/7", "Subtract: 35 - (-39/7) = 284/7", "Multiply: -41 * (284/7) = -11644/7"], "final_answer": "-11644/7", "answer_type": "rational", "kind": "expression", "math_text": "-41 * (35 - (-39) / 7)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": 35, \"c\": -39, \"d\": 7}", "seed": "2849523476838530429", "semantic_fingerprint": "sha256:984f337fd890c4e0045436bb089207bc949515408a9ad6896fbe2eb768ee6744", "generator_version": "3.0"}
{"id": "v3_val_00001815", "prompt": "What is 56 * (-19) - 8?", "solution_steps": ["Multiply: 56 * (-19) = -1064", "Subtract: -1064 - 8 = -1072"], "final_answer": "-1072", "answer_type": "integer", "kind": "expression", "math_text": "56 * (-19) - 8", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -19, \"c\": 8}", "seed": "7202544038479432496", "semantic_fingerprint": "sha256:e313e2e62f3e247fc9b21c8357084af1e4c98353b3af6d1721dd5d8e0c880672", "generator_version": "3.0"}
{"id": "v3_val_00001816", "prompt": "What is 7 - (-8) - 4 / (-54)?", "solution_steps": ["Subtract: 7 - (-8) = 15", "Divide: 4 / (-54) = -2/27", "Subtract: 15 - (-2/27) = 407/27"], "final_answer": "407/27", "answer_type": "rational", "kind": "expression", "math_text": "7 - (-8) - 4 / (-54)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": 4, \"d\": -54}", "seed": "10219616585789152752", "semantic_fingerprint": "sha256:f412492c30ab10734df05a3d18446b5c7a9ba28b92eb1cb950f37e3d5e7448a8", "generator_version": "3.0"}
{"id": "v3_val_00001817", "prompt": "Solve the equation -10x = -3(x - 1) for x.", "solution_steps": ["Expand: -10x = -3x + 3", "Add 3x to both sides: -7x = 3", "Divide both sides by -7: x = -3/7"], "final_answer": "-3/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x = -3(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -3, \"c\": 1}", "seed": "3828756979849923649", "semantic_fingerprint": "sha256:43e713b9f9913299b68c020ae606bac54532ac50db1fe5154d43d84552dd0b1f", "generator_version": "3.0"}
{"id": "v3_val_00001818", "prompt": "What is (11 / 82 - (-692) + 73 * 1) / 2?", "solution_steps": ["Divide: 11 / 82 = 11/82", "Subtract: 11/82 - (-692) = 56755/82", "Multiply: 73 * 1 = 73", "Add: 56755/82 + 73 = 62741/82", "Divide: (62741/82) / 2 = 62741/164"], "final_answer": "62741/164", "answer_type": "rational", "kind": "expression", "math_text": "(11 / 82 - (-692) + 73 * 1) / 2", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- (/ n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 82, \"c\": -692, \"d\": 73, \"e\": 1, \"f\": 2}", "seed": "10546332603368675107", "semantic_fingerprint": "sha256:a7b6ee9953e3fd85016303e502e8473cee980d97fd7210efe315f2aab222422b", "generator_version": "3.0"}
{"id": "v3_val_00001819", "prompt": "Calculate: 350 + 16", "solution_steps": ["Add: 350 + 16 = 366"], "final_answer": "366", "answer_type": "integer", "kind": "expression", "math_text": "350 + 16", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 350, \"b\": 16}", "seed": "2758735149185909200", "semantic_fingerprint": "sha256:6d33c5f152d1539d9506143f7ac0f3a5f23f24eca84ce1ab3f03ff3897f7c98c", "generator_version": "3.0"}
{"id": "v3_val_00001820", "prompt": "What value of x satisfies -5(x - 82) - 40 = -6(x - 2) + 350?", "solution_steps": ["Expand: -5x + 410 - 40 = -6(x - 2) + 350", "Expand: -5x + 410 - 40 = -6x + 12 + 350", "Combine constants: -5x + 370 = -6x + 12 + 350", "Combine constants: -5x + 370 = -6x + 362", "Add 6x to both sides: x + 370 = 362", "Subtract 370 from both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 82) - 40 = -6(x - 2) + 350", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 82, \"c\": 40, \"d\": -6, \"e\": 2, \"g\": 350, \"x\": -8}", "seed": "2650894563142897781", "semantic_fingerprint": "sha256:34ef2d2e9fa739b69890bb5addf0eb3a1fd0384aacd426663037ca03450eb4ea", "generator_version": "3.0"}
{"id": "v3_val_00001821", "prompt": "Solve the equation x + 37 = 6(x - 6) - 12 for x.", "solution_steps": ["Expand: x + 37 = 6x - 36 - 12", "Combine constants: x + 37 = 6x - 48", "Subtract 6x from both sides: -5x + 37 = -48", "Subtract 37 from both sides: -5x = -85", "Divide both sides by -5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 37 = 6(x - 6) - 12", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 6, \"c\": 6, \"e\": -12, \"x\": 17}", "seed": "16062038241377001631", "semantic_fingerprint": "sha256:d172df379c668991482a4633556eeee1bf6af9cb19a631e8238209c1777d383d", "generator_version": "3.0"}
{"id": "v3_val_00001822", "prompt": "What is 7 / (48 + 35)?", "solution_steps": ["Add: 48 + 35 = 83", "Divide: 7 / 83 = 7/83"], "final_answer": "7/83", "answer_type": "rational", "kind": "expression", "math_text": "7 / (48 + 35)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 48, \"c\": 35}", "seed": "6077049021411894653", "semantic_fingerprint": "sha256:cf3e6479102ba07d7a9db91c73318ec6e61e131eff10cc366c7997cab731203d", "generator_version": "3.0"}
{"id": "v3_val_00001823", "prompt": "Compute: (-1 + 15) / (-20) / 468", "solution_steps": ["Add: -1 + 15 = 14", "Divide: 14 / (-20) = -7/10", "Divide: (-7/10) / 468 = -7/4680"], "final_answer": "-7/4680", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + 15) / (-20) / 468", "variable": null, "family": "expression_3op", "shape": "(/ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 15, \"c\": -20, \"d\": 468}", "seed": "43303385101377011", "semantic_fingerprint": "sha256:406ed5d9d088efe25b107adbe6eafe6f8a2762cf8b46c0f3cbaca851e1ebeb89", "generator_version": "3.0"}
{"id": "v3_val_00001824", "prompt": "What is -60 + (-63 - (-95))?", "solution_steps": ["Subtract: -63 - (-95) = 32", "Add: -60 + 32 = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "expression", "math_text": "-60 + (-63 - (-95))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -63, \"c\": -95}", "seed": "12210413141620479413", "semantic_fingerprint": "sha256:bd1da17b82b7028e8b3cb323f58203a569840e609a3d8a0f193e7aec6486e5a4", "generator_version": "3.0"}
{"id": "v3_val_00001825", "prompt": "What value of x satisfies 5x - 2 = x + 38?", "solution_steps": ["Subtract x from both sides: 4x - 2 = 38", "Add 2 to both sides: 4x = 40", "Divide both sides by 4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 2 = x + 38", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"d\": 38, \"x\": 10}", "seed": "16644391473979319414", "semantic_fingerprint": "sha256:2f126d50f4d8df5f184ae35276e658418bdf014aaf5eb8ad194019277402c50e", "generator_version": "3.0"}
{"id": "v3_val_00001826", "prompt": "Calculate: -1 / (-49)", "solution_steps": ["Divide: -1 / (-49) = 1/49"], "final_answer": "1/49", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-49)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -49}", "seed": "1960204316927955422", "semantic_fingerprint": "sha256:a4096b0c904ca00fc86ab6934cac1068f3d0f9aa10bba3105a727e09341cd936", "generator_version": "3.0"}
{"id": "v3_val_00001827", "prompt": "Calculate: -515 - (-5)", "solution_steps": ["Subtract: -515 - (-5) = -510"], "final_answer": "-510", "answer_type": "integer", "kind": "expression", "math_text": "-515 - (-5)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -515, \"b\": -5}", "seed": "11023285284442067517", "semantic_fingerprint": "sha256:e193445931c7b13f90f1363255130822643f5bb3f72254cf72619eaa355e1f06", "generator_version": "3.0"}
{"id": "v3_val_00001828", "prompt": "Calculate: (79 + (-43)) * 976 + 84 / 50", "solution_steps": ["Add: 79 + (-43) = 36", "Multiply: 36 * 976 = 35136", "Divide: 84 / 50 = 42/25", "Add: 35136 + 42/25 = 878442/25"], "final_answer": "878442/25", "answer_type": "rational", "kind": "expression", "math_text": "(79 + (-43)) * 976 + 84 / 50", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -43, \"c\": 976, \"d\": 84, \"e\": 50}", "seed": "7805677585268936851", "semantic_fingerprint": "sha256:f898d2979f5dbe1862138ead2332ab8eaa4ed950d742667f76699188f9fc4b25", "generator_version": "3.0"}
{"id": "v3_val_00001829", "prompt": "What value of x satisfies 9x - 10 = -10?", "solution_steps": ["Add 10 to both sides: 9x = 0", "Divide both sides by 9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 10 = -10", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"d\": -10, \"x\": 0}", "seed": "1031348408540696098", "semantic_fingerprint": "sha256:38c4b95e05d779072045d77086c2826524c5895fea3e0fc636ec74559cb2fb79", "generator_version": "3.0"}
{"id": "v3_val_00001830", "prompt": "Compute: 8 - 19 * (-89) / 97 / 50", "solution_steps": ["Multiply: 19 * (-89) = -1691", "Divide: -1691 / 97 = -1691/97", "Divide: (-1691/97) / 50 = -1691/4850", "Subtract: 8 - (-1691/4850) = 40491/4850"], "final_answer": "40491/4850", "answer_type": "rational", "kind": "expression", "math_text": "8 - 19 * (-89) / 97 / 50", "variable": null, "family": "expression_4op", "shape": "(- n (/ (/ (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 19, \"c\": -89, \"d\": 97, \"e\": 50}", "seed": "5866455673363956948", "semantic_fingerprint": "sha256:c8cfa4e212fd4304ff95b067b6d960d8be6d42931d8d67c52a06c2a3174b22e6", "generator_version": "3.0"}
{"id": "v3_val_00001831", "prompt": "Calculate: -23 + 28 + 0 + 521", "solution_steps": ["Add: -23 + 28 = 5", "Add: 5 + 0 = 5", "Add: 5 + 521 = 526"], "final_answer": "526", "answer_type": "integer", "kind": "expression", "math_text": "-23 + 28 + 0 + 521", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 28, \"c\": 0, \"d\": 521}", "seed": "17231321015011555462", "semantic_fingerprint": "sha256:560c0a3a0744026fadf7f1da698c223426df7c6713149c65f8cbb5e755b45bc6", "generator_version": "3.0"}
{"id": "v3_val_00001832", "prompt": "What value of x satisfies -12x + 7 = 6(x - 67) - 20?", "solution_steps": ["Expand: -12x + 7 = 6x - 402 - 20", "Combine constants: -12x + 7 = 6x - 422", "Subtract 6x from both sides: -18x + 7 = -422", "Subtract 7 from both sides: -18x = -429", "Divide both sides by -18: x = 143/6"], "final_answer": "143/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x + 7 = 6(x - 67) - 20", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": 6, \"d\": 67, \"e\": 20}", "seed": "15914707965027755135", "semantic_fingerprint": "sha256:a79ee170d80c4b608c5128b89098ce8cf43bf184347c141781da4aa405541161", "generator_version": "3.0"}
{"id": "v3_val_00001833", "prompt": "What value of x satisfies 2x = x - 69?", "solution_steps": ["Subtract x from both sides: x = -69"], "final_answer": "-69", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = x - 69", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 69}", "seed": "17372366459671379833", "semantic_fingerprint": "sha256:fb46d4981928b4147aa497f2ccc56753064bc1f1f36473016a56d42daf53e9ee", "generator_version": "3.0"}
{"id": "v3_val_00001834", "prompt": "Evaluate: -5 * ((-227 + 53) * 9)", "solution_steps": ["Add: -227 + 53 = -174", "Multiply: -174 * 9 = -1566", "Multiply: -5 * (-1566) = 7830"], "final_answer": "7830", "answer_type": "integer", "kind": "expression", "math_text": "-5 * ((-227 + 53) * 9)", "variable": null, "family": "expression_3op", "shape": "(* n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -227, \"c\": 53, \"d\": 9}", "seed": "16391208964458233079", "semantic_fingerprint": "sha256:6fff2ddba6d46a0a7b9d7dd20fbdb053080c4f0288177291a045a7b5e143b001", "generator_version": "3.0"}
{"id": "v3_val_00001835", "prompt": "Calculate: 7 * (-91 / 7 * (-37))", "solution_steps": ["Divide: -91 / 7 = -13", "Multiply: -13 * (-37) = 481", "Multiply: 7 * 481 = 3367"], "final_answer": "3367", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-91 / 7 * (-37))", "variable": null, "family": "expression_3op", "shape": "(* n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -91, \"c\": 7, \"d\": -37}", "seed": "14857297307944672623", "semantic_fingerprint": "sha256:00232df4fcf81e12bdbde344d735a8a14296df8aad518516b7b1bdc05c19f3e7", "generator_version": "3.0"}
{"id": "v3_val_00001836", "prompt": "Evaluate: 222 - (-488) * (-2) * (-29) / (-3)", "solution_steps": ["Multiply: -488 * (-2) = 976", "Multiply: 976 * (-29) = -28304", "Divide: -28304 / (-3) = 28304/3", "Subtract: 222 - 28304/3 = -27638/3"], "final_answer": "-27638/3", "answer_type": "rational", "kind": "expression", "math_text": "222 - (-488) * (-2) * (-29) / (-3)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 222, \"b\": -488, \"c\": -2, \"d\": -29, \"e\": -3}", "seed": "13576925904918031079", "semantic_fingerprint": "sha256:af976d941d6d62f75fe9906928ffa2388d22f264a782842ba867676e3c72e8f4", "generator_version": "3.0"}
{"id": "v3_val_00001837", "prompt": "Solve the equation x = -11(x - 4) for x.", "solution_steps": ["Expand: x = -11x + 44", "Add 11x to both sides: 12x = 44", "Divide both sides by 12: x = 11/3"], "final_answer": "11/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -11(x - 4)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4}", "seed": "4576186217688851816", "semantic_fingerprint": "sha256:5ceafe3dbc457dba4dfa305e5d4c5d2a265f266a3ada41f1274e59b915f29051", "generator_version": "3.0"}
{"id": "v3_val_00001838", "prompt": "Compute: (217 + 36) / (0 - (-776))", "solution_steps": ["Add: 217 + 36 = 253", "Subtract: 0 - (-776) = 776", "Divide: 253 / 776 = 253/776"], "final_answer": "253/776", "answer_type": "rational", "kind": "expression", "math_text": "(217 + 36) / (0 - (-776))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 217, \"b\": 36, \"c\": 0, \"d\": -776}", "seed": "228086733434546148", "semantic_fingerprint": "sha256:6105f43d5c828ce79803f290b4b1d6b7f31d1e112b05bae11f8e1da4a9630700", "generator_version": "3.0"}
{"id": "v3_val_00001839", "prompt": "What value of x satisfies -7x = 6(x - 89) + 651?", "solution_steps": ["Expand: -7x = 6x - 534 + 651", "Combine constants: -7x = 6x + 117", "Subtract 6x from both sides: -13x = 117", "Divide both sides by -13: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 6(x - 89) + 651", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 89, \"e\": 651, \"x\": -9}", "seed": "13594580591686271660", "semantic_fingerprint": "sha256:62f708007adddc8a00319c7d8cb0a75cffa2e32c8847bf652c5ef868c88c5170", "generator_version": "3.0"}
{"id": "v3_val_00001840", "prompt": "What value of x satisfies 10(x - 61) + 41 = 3x - 541?", "solution_steps": ["Expand: 10x - 610 + 41 = 3x - 541", "Combine constants: 10x - 569 = 3x - 541", "Subtract 3x from both sides: 7x - 569 = -541", "Add 569 to both sides: 7x = 28", "Divide both sides by 7: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 61) + 41 = 3x - 541", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 61, \"c\": 41, \"d\": 3, \"f\": -541, \"x\": 4}", "seed": "8309474040820337157", "semantic_fingerprint": "sha256:8168894bf2413f01f3e72635faa571f233b7ec37547416f5e2665490f7e7b6f4", "generator_version": "3.0"}
{"id": "v3_val_00001841", "prompt": "Evaluate: -1 - (69 - 800)", "solution_steps": ["Subtract: 69 - 800 = -731", "Subtract: -1 - (-731) = 730"], "final_answer": "730", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (69 - 800)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 69, \"c\": 800}", "seed": "4484177836495319484", "semantic_fingerprint": "sha256:9c60d340cd22e4480ac2d10f8a36c4f999b4391451837b4f13a0e309b467cf9a", "generator_version": "3.0"}
{"id": "v3_val_00001842", "prompt": "What is 9 - (85 + 92)?", "solution_steps": ["Add: 85 + 92 = 177", "Subtract: 9 - 177 = -168"], "final_answer": "-168", "answer_type": "integer", "kind": "expression", "math_text": "9 - (85 + 92)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 85, \"c\": 92}", "seed": "1120437849495851867", "semantic_fingerprint": "sha256:c47c7629bcf87179867217adf70aee859757fbad8c2b045fa76d9fb6e609004c", "generator_version": "3.0"}
{"id": "v3_val_00001843", "prompt": "Solve for x: x + 39 = 11x + 65", "solution_steps": ["Subtract 11x from both sides: -10x + 39 = 65", "Subtract 39 from both sides: -10x = 26", "Divide both sides by -10: x = -13/5"], "final_answer": "-13/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 39 = 11x + 65", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 11, \"c\": 65}", "seed": "16904812089428777797", "semantic_fingerprint": "sha256:04ef643e418ca647c8aa925927a2bab097cf7098a9b15259be211166612490b0", "generator_version": "3.0"}
{"id": "v3_val_00001844", "prompt": "Compute: 73 + (-135 + 18)", "solution_steps": ["Add: -135 + 18 = -117", "Add: 73 + (-117) = -44"], "final_answer": "-44", "answer_type": "integer", "kind": "expression", "math_text": "73 + (-135 + 18)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -135, \"c\": 18}", "seed": "6888237331032585589", "semantic_fingerprint": "sha256:14fc4565d6bdc38c5faf73dd65c2294504ca961a7f187b2a8efffcaf9fd8b9e4", "generator_version": "3.0"}
{"id": "v3_val_00001845", "prompt": "Calculate: -7 - 27 / 534 / (-7)", "solution_steps": ["Divide: 27 / 534 = 9/178", "Divide: (9/178) / (-7) = -9/1246", "Subtract: -7 - (-9/1246) = -8713/1246"], "final_answer": "-8713/1246", "answer_type": "rational", "kind": "expression", "math_text": "-7 - 27 / 534 / (-7)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 27, \"c\": 534, \"d\": -7}", "seed": "9673979184741997586", "semantic_fingerprint": "sha256:f550dedc9681784219839cdecdc2b199ac40b2343181c864648edd6148e6b17e", "generator_version": "3.0"}
{"id": "v3_val_00001846", "prompt": "What is (-8 - 1) / (-5) * (-9 * 582 / (-390))?", "solution_steps": ["Subtract: -8 - 1 = -9", "Divide: -9 / (-5) = 9/5", "Multiply: -9 * 582 = -5238", "Divide: -5238 / (-390) = 873/65", "Multiply: (9/5) * (873/65) = 7857/325"], "final_answer": "7857/325", "answer_type": "rational", "kind": "expression", "math_text": "(-8 - 1) / (-5) * (-9 * 582 / (-390))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"c\": -5, \"d\": -9, \"e\": 582, \"f\": -390}", "seed": "783181365662169521", "semantic_fingerprint": "sha256:b3a065d280a2a0698df5ebaf51cd0ac45f3c154735533b4ae7f6a5f47e9f3272", "generator_version": "3.0"}
{"id": "v3_val_00001847", "prompt": "Compute: 28 - (21 - (-726))", "solution_steps": ["Subtract: 21 - (-726) = 747", "Subtract: 28 - 747 = -719"], "final_answer": "-719", "answer_type": "integer", "kind": "expression", "math_text": "28 - (21 - (-726))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 21, \"c\": -726}", "seed": "13321294385271422115", "semantic_fingerprint": "sha256:c268b74a0a1a1124e1816e0fab14a3b3d5f8abab4da459b597ff55b23d16ff4d", "generator_version": "3.0"}
{"id": "v3_val_00001848", "prompt": "Compute: 94 * (5 + (-705))", "solution_steps": ["Add: 5 + (-705) = -700", "Multiply: 94 * (-700) = -65800"], "final_answer": "-65800", "answer_type": "integer", "kind": "expression", "math_text": "94 * (5 + (-705))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 5, \"c\": -705}", "seed": "8270786796083702274", "semantic_fingerprint": "sha256:5fb0bd57656205a070ab8ed5d44ae9b2a7323ea8d8e29653ea40bbbf24950e09", "generator_version": "3.0"}
{"id": "v3_val_00001849", "prompt": "Evaluate: 0 / (-4) * (-2)", "solution_steps": ["Divide: 0 / (-4) = 0", "Multiply: 0 * (-2) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-4) * (-2)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": -2}", "seed": "17092671315096815418", "semantic_fingerprint": "sha256:04924f016c8d6bf0006d304c302ec90f857be4047d994842b039b55a6de0e548", "generator_version": "3.0"}
{"id": "v3_val_00001850", "prompt": "Calculate: 86 / (-3) * (-5 - 413 + 3)", "solution_steps": ["Divide: 86 / (-3) = -86/3", "Subtract: -5 - 413 = -418", "Add: -418 + 3 = -415", "Multiply: (-86/3) * (-415) = 35690/3"], "final_answer": "35690/3", "answer_type": "rational", "kind": "expression", "math_text": "86 / (-3) * (-5 - 413 + 3)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -3, \"c\": -5, \"d\": 413, \"e\": 3}", "seed": "3993956254783392375", "semantic_fingerprint": "sha256:63090072327439702b02b936ec4e90548c58b48a9874e6c850c4345d4c356b97", "generator_version": "3.0"}
{"id": "v3_val_00001851", "prompt": "Solve for x: -3(x - 13) = x + 119", "solution_steps": ["Expand: -3x + 39 = x + 119", "Subtract x from both sides: -4x + 39 = 119", "Subtract 39 from both sides: -4x = 80", "Divide both sides by -4: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 13) = x + 119", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 13, \"d\": 119, \"x\": -20}", "seed": "97935321443108966", "semantic_fingerprint": "sha256:d6ee54f14c12334b8558e9b3d8a9bba27b0185c5015758b34d4fc3a342228306", "generator_version": "3.0"}
{"id": "v3_val_00001852", "prompt": "What is 370 * (-685 + (-319))?", "solution_steps": ["Add: -685 + (-319) = -1004", "Multiply: 370 * (-1004) = -371480"], "final_answer": "-371480", "answer_type": "integer", "kind": "expression", "math_text": "370 * (-685 + (-319))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 370, \"b\": -685, \"c\": -319}", "seed": "2119315809877997780", "semantic_fingerprint": "sha256:8ea5478e73668c32ff6ddecf656d200526141aca76ce449768cabcfc9c58d21c", "generator_version": "3.0"}
{"id": "v3_val_00001853", "prompt": "Solve for x: x + 24 = 2x + 28", "solution_steps": ["Subtract 2x from both sides: -x + 24 = 28", "Subtract 24 from both sides: -x = 4", "Divide both sides by -1: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 24 = 2x + 28", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 2, \"d\": 28, \"x\": -4}", "seed": "10432926506654492892", "semantic_fingerprint": "sha256:6ba4b6fd4bb0d5affa152fd892bf6a4c001bd3f8c9061687355db564a1be3b5d", "generator_version": "3.0"}
{"id": "v3_val_00001854", "prompt": "Evaluate: -5 * (-9) - (6 + (-66))", "solution_steps": ["Multiply: -5 * (-9) = 45", "Add: 6 + (-66) = -60", "Subtract: 45 - (-60) = 105"], "final_answer": "105", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-9) - (6 + (-66))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -9, \"c\": 6, \"d\": -66}", "seed": "11793341164375511653", "semantic_fingerprint": "sha256:cec3bc4d296751047b0ce64a62401ae219ae961681af8f06ea7e0210166191ef", "generator_version": "3.0"}
{"id": "v3_val_00001855", "prompt": "Evaluate: -32 - (-88)", "solution_steps": ["Subtract: -32 - (-88) = 56"], "final_answer": "56", "answer_type": "integer", "kind": "expression", "math_text": "-32 - (-88)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -88}", "seed": "8586650252963483481", "semantic_fingerprint": "sha256:304111996b752135252aa8ed007605570479e45d8c4679bf5d062d86bf39b278", "generator_version": "3.0"}
{"id": "v3_val_00001856", "prompt": "What is 45 * (64 + 5)?", "solution_steps": ["Add: 64 + 5 = 69", "Multiply: 45 * 69 = 3105"], "final_answer": "3105", "answer_type": "integer", "kind": "expression", "math_text": "45 * (64 + 5)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 64, \"c\": 5}", "seed": "17495618056447705589", "semantic_fingerprint": "sha256:73790a78aa742f4373d122f5881878123a75555bda570963a56f2df25066af24", "generator_version": "3.0"}
{"id": "v3_val_00001857", "prompt": "What is -16 * (-58) / (8 * 480)?", "solution_steps": ["Multiply: -16 * (-58) = 928", "Multiply: 8 * 480 = 3840", "Divide: 928 / 3840 = 29/120"], "final_answer": "29/120", "answer_type": "rational", "kind": "expression", "math_text": "-16 * (-58) / (8 * 480)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -58, \"c\": 8, \"d\": 480}", "seed": "834763458199373819", "semantic_fingerprint": "sha256:f34564271fad19ba06464287549e0ef831a74f48814982b112ad0bacacacf968", "generator_version": "3.0"}
{"id": "v3_val_00001858", "prompt": "Solve for x: 10(x + 227) = -11(x - 31)", "solution_steps": ["Expand: 10x + 2270 = -11(x - 31)", "Expand: 10x + 2270 = -11x + 341", "Add 11x to both sides: 21x + 2270 = 341", "Subtract 2270 from both sides: 21x = -1929", "Divide both sides by 21: x = -643/7"], "final_answer": "-643/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 227) = -11(x - 31)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 227, \"c\": -11, \"d\": 31}", "seed": "15363555303762550910", "semantic_fingerprint": "sha256:60291d87fa37e4b7ef46407d26935f6b6480a3e4df2709a6d61e05c0c69fff3d", "generator_version": "3.0"}
{"id": "v3_val_00001859", "prompt": "What is -867 * 3 + 3?", "solution_steps": ["Multiply: -867 * 3 = -2601", "Add: -2601 + 3 = -2598"], "final_answer": "-2598", "answer_type": "integer", "kind": "expression", "math_text": "-867 * 3 + 3", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -867, \"b\": 3, \"c\": 3}", "seed": "11940596362803459058", "semantic_fingerprint": "sha256:09b4ca37f7fb5dbaa5068d0cb6260d69032a31c79e90e1dcacfa03d9377c1fd8", "generator_version": "3.0"}
{"id": "v3_val_00001860", "prompt": "What value of x satisfies 3(x - 167) = 9x?", "solution_steps": ["Expand: 3x - 501 = 9x", "Subtract 9x from both sides: -6x - 501 = 0", "Add 501 to both sides: -6x = 501", "Divide both sides by -6: x = -167/2"], "final_answer": "-167/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 167) = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 167, \"c\": 9}", "seed": "15348636706591994856", "semantic_fingerprint": "sha256:85d911ddb033f0e841a8dd947830fe6eedd4a40a07d1b6ed69497742dcfe4c88", "generator_version": "3.0"}
{"id": "v3_val_00001861", "prompt": "What value of x satisfies x + 8 = 9x?", "solution_steps": ["Subtract 9x from both sides: -8x + 8 = 0", "Subtract 8 from both sides: -8x = -8", "Divide both sides by -8: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8 = 9x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 8, \"x\": 1}", "seed": "14921478700024884948", "semantic_fingerprint": "sha256:40d828b83b597daa0e2f81b1ec08f133d12719718bc289ddca01bc0d83b91249", "generator_version": "3.0"}
{"id": "v3_val_00001862", "prompt": "Evaluate: 78 + 21", "solution_steps": ["Add: 78 + 21 = 99"], "final_answer": "99", "answer_type": "integer", "kind": "expression", "math_text": "78 + 21", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 21}", "seed": "14741776226643606633", "semantic_fingerprint": "sha256:9ff0a87b48945b37d2ba5ebb79dbaf502365d134f8c5ac40c39c72aa3b8727cc", "generator_version": "3.0"}
{"id": "v3_val_00001863", "prompt": "Evaluate: 902 / (649 - 3)", "solution_steps": ["Subtract: 649 - 3 = 646", "Divide: 902 / 646 = 451/323"], "final_answer": "451/323", "answer_type": "rational", "kind": "expression", "math_text": "902 / (649 - 3)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 902, \"b\": 649, \"c\": 3}", "seed": "12746882080478374112", "semantic_fingerprint": "sha256:906f05f3201424f5afdb21b2325c0e9d3ed8ad3c3b60cbc7d05819f73aa77fc2", "generator_version": "3.0"}
{"id": "v3_val_00001864", "prompt": "Calculate: 7 - (-44 - (814 + 33))", "solution_steps": ["Add: 814 + 33 = 847", "Subtract: -44 - 847 = -891", "Subtract: 7 - (-891) = 898"], "final_answer": "898", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-44 - (814 + 33))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -44, \"c\": 814, \"d\": 33}", "seed": "13406096763632358325", "semantic_fingerprint": "sha256:af48dd24936a8f8dc5600283dfbca0d931a0c62c2cc546e374013789015da72a", "generator_version": "3.0"}
{"id": "v3_val_00001865", "prompt": "What value of x satisfies 9(x + 5) + 4 = 4?", "solution_steps": ["Expand: 9x + 45 + 4 = 4", "Combine constants: 9x + 49 = 4", "Subtract 49 from both sides: 9x = -45", "Divide both sides by 9: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) + 4 = 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 4, \"e\": 4, \"x\": -5}", "seed": "9823437353738818534", "semantic_fingerprint": "sha256:ff390dc6cd7240a37ed704e002998022852276054b98ff35c8cf9e1efbb8eab3", "generator_version": "3.0"}
{"id": "v3_val_00001866", "prompt": "Evaluate: 640 / (-610 * (-59))", "solution_steps": ["Multiply: -610 * (-59) = 35990", "Divide: 640 / 35990 = 64/3599"], "final_answer": "64/3599", "answer_type": "rational", "kind": "expression", "math_text": "640 / (-610 * (-59))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 640, \"b\": -610, \"c\": -59}", "seed": "16309180879880553757", "semantic_fingerprint": "sha256:9d535154959586e90b00d2bf17b4d690502144611a823a4f8e33d86d3fb9f897", "generator_version": "3.0"}
{"id": "v3_val_00001867", "prompt": "Find x: 9(x - 3) = -5(x + 5) + 37", "solution_steps": ["Expand: 9x - 27 = -5(x + 5) + 37", "Expand: 9x - 27 = -5x - 25 + 37", "Combine constants: 9x - 27 = -5x + 12", "Add 5x to both sides: 14x - 27 = 12", "Add 27 to both sides: 14x = 39", "Divide both sides by 14: x = 39/14"], "final_answer": "39/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 3) = -5(x + 5) + 37", "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\": -5, \"d\": 5, \"e\": 37}", "seed": "3698870314586981725", "semantic_fingerprint": "sha256:62e58fd4ba91b77df4328db2786c355aa74c1be0decf7473614e7b778aabebe0", "generator_version": "3.0"}
{"id": "v3_val_00001868", "prompt": "Compute: (-537 - 6) / 27 / (6 + (-688))", "solution_steps": ["Subtract: -537 - 6 = -543", "Divide: -543 / 27 = -181/9", "Add: 6 + (-688) = -682", "Divide: (-181/9) / (-682) = 181/6138"], "final_answer": "181/6138", "answer_type": "rational", "kind": "expression", "math_text": "(-537 - 6) / 27 / (6 + (-688))", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -537, \"b\": 6, \"c\": 27, \"d\": 6, \"e\": -688}", "seed": "3823265305783352787", "semantic_fingerprint": "sha256:6c503fefe35747759029cecb34d0190b4dd34276357b0140d99ebedebb436272", "generator_version": "3.0"}
{"id": "v3_val_00001869", "prompt": "Find x: 2(x - 4) = 4(x + 908)", "solution_steps": ["Expand: 2x - 8 = 4(x + 908)", "Expand: 2x - 8 = 4x + 3632", "Subtract 4x from both sides: -2x - 8 = 3632", "Add 8 to both sides: -2x = 3640", "Divide both sides by -2: x = -1820"], "final_answer": "-1820", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 4) = 4(x + 908)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 4, \"d\": 908}", "seed": "17950219670712079380", "semantic_fingerprint": "sha256:050d895dc771b3468452e411db0a6028563b61809de8f7e80c0ca1850a9411f6", "generator_version": "3.0"}
{"id": "v3_val_00001870", "prompt": "Solve for x: 8(x - 768) - 75 = -11x + 50", "solution_steps": ["Expand: 8x - 6144 - 75 = -11x + 50", "Combine constants: 8x - 6219 = -11x + 50", "Add 11x to both sides: 19x - 6219 = 50", "Add 6219 to both sides: 19x = 6269", "Divide both sides by 19: x = 6269/19"], "final_answer": "6269/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 768) - 75 = -11x + 50", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 768, \"c\": 75, \"d\": -11, \"e\": 50}", "seed": "13224285790264432211", "semantic_fingerprint": "sha256:9ba21ffc54789664ecda0f3cdad89ae5ae2892b5d8c7f064a3781bdf8db87220", "generator_version": "3.0"}
{"id": "v3_val_00001871", "prompt": "Solve for x: 6(x + 85) - 19 = 4(x - 98)", "solution_steps": ["Expand: 6x + 510 - 19 = 4(x - 98)", "Expand: 6x + 510 - 19 = 4x - 392", "Combine constants: 6x + 491 = 4x - 392", "Subtract 4x from both sides: 2x + 491 = -392", "Subtract 491 from both sides: 2x = -883", "Divide both sides by 2: x = -883/2"], "final_answer": "-883/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 85) - 19 = 4(x - 98)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 85, \"c\": 19, \"d\": 4, \"e\": 98}", "seed": "10308914125902598601", "semantic_fingerprint": "sha256:575618c457e1979564ba19b8193d6f1daa023800cad1bb7c88727582db084d39", "generator_version": "3.0"}
{"id": "v3_val_00001872", "prompt": "Compute: -71 - 81", "solution_steps": ["Subtract: -71 - 81 = -152"], "final_answer": "-152", "answer_type": "integer", "kind": "expression", "math_text": "-71 - 81", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 81}", "seed": "4501694396938743654", "semantic_fingerprint": "sha256:26c377de8d3c319f69e40b0c15e24516578b76d3de961098814e2a1a2e7242a4", "generator_version": "3.0"}
{"id": "v3_val_00001873", "prompt": "Solve for x: 2(x - 3) - 125 = 5", "solution_steps": ["Expand: 2x - 6 - 125 = 5", "Combine constants: 2x - 131 = 5", "Add 131 to both sides: 2x = 136", "Divide both sides by 2: x = 68"], "final_answer": "68", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 3) - 125 = 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 125, \"d\": 5}", "seed": "10272489630549109309", "semantic_fingerprint": "sha256:83d618b070bf0a2ffb37cdc7bc15e18c594b1a4f755673be39d83258733a2739", "generator_version": "3.0"}
{"id": "v3_val_00001874", "prompt": "Evaluate: -940 - (174 - (-26) - 4) + 32", "solution_steps": ["Subtract: 174 - (-26) = 200", "Subtract: 200 - 4 = 196", "Subtract: -940 - 196 = -1136", "Add: -1136 + 32 = -1104"], "final_answer": "-1104", "answer_type": "integer", "kind": "expression", "math_text": "-940 - (174 - (-26) - 4) + 32", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -940, \"b\": 174, \"c\": -26, \"d\": 4, \"e\": 32}", "seed": "3377999253683310490", "semantic_fingerprint": "sha256:e4a96187a0e952ced035a7b1317d51c4eae04714627bb47ae1137ae47faa24b0", "generator_version": "3.0"}
{"id": "v3_val_00001875", "prompt": "Calculate: 75 / (-85 * 30)", "solution_steps": ["Multiply: -85 * 30 = -2550", "Divide: 75 / (-2550) = -1/34"], "final_answer": "-1/34", "answer_type": "rational", "kind": "expression", "math_text": "75 / (-85 * 30)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -85, \"c\": 30}", "seed": "14325998195279165324", "semantic_fingerprint": "sha256:d501ed03ffc6c0fd4c953559f2d7dd69e725ca8dd4ec2199eb83f1f56cba540a", "generator_version": "3.0"}
{"id": "v3_val_00001876", "prompt": "Find x: -11x + 97 = 8(x + 50) + 20", "solution_steps": ["Expand: -11x + 97 = 8x + 400 + 20", "Combine constants: -11x + 97 = 8x + 420", "Subtract 8x from both sides: -19x + 97 = 420", "Subtract 97 from both sides: -19x = 323", "Divide both sides by -19: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x + 97 = 8(x + 50) + 20", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 97, \"c\": 8, \"d\": 50, \"f\": 20, \"x\": -17}", "seed": "128802950509232074", "semantic_fingerprint": "sha256:6b4a965ad478eab5e204e114575a82e8400deb7772f35ad0d41ac007d7f0fe1f", "generator_version": "3.0"}
{"id": "v3_val_00001877", "prompt": "Calculate: (435 - 46 - (-54)) / 4", "solution_steps": ["Subtract: 435 - 46 = 389", "Subtract: 389 - (-54) = 443", "Divide: 443 / 4 = 443/4"], "final_answer": "443/4", "answer_type": "rational", "kind": "expression", "math_text": "(435 - 46 - (-54)) / 4", "variable": null, "family": "expression_3op", "shape": "(/ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 435, \"b\": 46, \"c\": -54, \"d\": 4}", "seed": "10979864757442761627", "semantic_fingerprint": "sha256:f29fc1bf9b2c506627ab55008dd6b0fab1064590e6142f37cb50ee41f5375178", "generator_version": "3.0"}
{"id": "v3_val_00001878", "prompt": "Compute: (48 + (-15 + (-6)) / (-499)) / (-2)", "solution_steps": ["Add: -15 + (-6) = -21", "Divide: -21 / (-499) = 21/499", "Add: 48 + 21/499 = 23973/499", "Divide: (23973/499) / (-2) = -23973/998"], "final_answer": "-23973/998", "answer_type": "rational", "kind": "expression", "math_text": "(48 + (-15 + (-6)) / (-499)) / (-2)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -15, \"c\": -6, \"d\": -499, \"e\": -2}", "seed": "18397936550373156022", "semantic_fingerprint": "sha256:ed78b02c4b044080549fa0ce9c3e2ac38e2a9df8a4ea6696be263161814152af", "generator_version": "3.0"}
{"id": "v3_val_00001879", "prompt": "Calculate: -39 / (-3) * (-72 / (-6) - 3)", "solution_steps": ["Divide: -39 / (-3) = 13", "Divide: -72 / (-6) = 12", "Subtract: 12 - 3 = 9", "Multiply: 13 * 9 = 117"], "final_answer": "117", "answer_type": "integer", "kind": "expression", "math_text": "-39 / (-3) * (-72 / (-6) - 3)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -3, \"c\": -72, \"d\": -6, \"e\": 3}", "seed": "4342050612536634376", "semantic_fingerprint": "sha256:93f1d78408bb7ce425ed9118ad234a76282fcfbfbc4ddf6d043b89237c81a55b", "generator_version": "3.0"}
{"id": "v3_val_00001880", "prompt": "Solve the equation 11(x + 3) + 46 = 9x + 69 for x.", "solution_steps": ["Expand: 11x + 33 + 46 = 9x + 69", "Combine constants: 11x + 79 = 9x + 69", "Subtract 9x from both sides: 2x + 79 = 69", "Subtract 79 from both sides: 2x = -10", "Divide both sides by 2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 3) + 46 = 9x + 69", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 46, \"d\": 9, \"f\": 69, \"x\": -5}", "seed": "2033056378082306493", "semantic_fingerprint": "sha256:fe1d44ae6969348f17c3ca7bbe1ffb1bee54b75d1444bebe8914ce84c10f2775", "generator_version": "3.0"}
{"id": "v3_val_00001881", "prompt": "Compute: -71 + (-32) + 27 * (-409 / (-93 - (-771)))", "solution_steps": ["Add: -71 + (-32) = -103", "Subtract: -93 - (-771) = 678", "Divide: -409 / 678 = -409/678", "Multiply: 27 * (-409/678) = -3681/226", "Add: -103 + (-3681/226) = -26959/226"], "final_answer": "-26959/226", "answer_type": "rational", "kind": "expression", "math_text": "-71 + (-32) + 27 * (-409 / (-93 - (-771)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* n (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -32, \"c\": 27, \"d\": -409, \"e\": -93, \"f\": -771}", "seed": "10475995359793936353", "semantic_fingerprint": "sha256:b679dce14538b779f6a61ca53200684dc5599f2df5173582001a606ebeb9548e", "generator_version": "3.0"}
{"id": "v3_val_00001882", "prompt": "What value of x satisfies 4(x + 328) = 8(x + 39) + 952?", "solution_steps": ["Expand: 4x + 1312 = 8(x + 39) + 952", "Expand: 4x + 1312 = 8x + 312 + 952", "Combine constants: 4x + 1312 = 8x + 1264", "Subtract 8x from both sides: -4x + 1312 = 1264", "Subtract 1312 from both sides: -4x = -48", "Divide both sides by -4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 328) = 8(x + 39) + 952", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 328, \"c\": 8, \"d\": 39, \"f\": 952, \"x\": 12}", "seed": "5631949071650796097", "semantic_fingerprint": "sha256:f202c5f2d02dd3a1fb4a9ef22114afefd86653a685aa6e05c6c4618a850887d7", "generator_version": "3.0"}
{"id": "v3_val_00001883", "prompt": "Calculate: 3 + (-39) / (-2)", "solution_steps": ["Divide: -39 / (-2) = 39/2", "Add: 3 + 39/2 = 45/2"], "final_answer": "45/2", "answer_type": "rational", "kind": "expression", "math_text": "3 + (-39) / (-2)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -39, \"c\": -2}", "seed": "7581530795941586846", "semantic_fingerprint": "sha256:ba9cbba14c2a352813d456a7dc91c81f635f55ed713e0115f04eb85378836ecd", "generator_version": "3.0"}
{"id": "v3_val_00001884", "prompt": "Find x: x - 757 = 5(x + 21) - 830", "solution_steps": ["Expand: x - 757 = 5x + 105 - 830", "Combine constants: x - 757 = 5x - 725", "Subtract 5x from both sides: -4x - 757 = -725", "Add 757 to both sides: -4x = 32", "Divide both sides by -4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 757 = 5(x + 21) - 830", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 757, \"b\": 5, \"c\": 21, \"e\": -830, \"x\": -8}", "seed": "2782983870295382835", "semantic_fingerprint": "sha256:86c060a129499998aba1b12171b5252fb9d2a77d3fe4f41ad75d9555a5798e61", "generator_version": "3.0"}
{"id": "v3_val_00001885", "prompt": "Evaluate: -197 + (2 / 28 * (-9 / 84) + (-5))", "solution_steps": ["Divide: 2 / 28 = 1/14", "Divide: -9 / 84 = -3/28", "Multiply: (1/14) * (-3/28) = -3/392", "Add: -3/392 + (-5) = -1963/392", "Add: -197 + (-1963/392) = -79187/392"], "final_answer": "-79187/392", "answer_type": "rational", "kind": "expression", "math_text": "-197 + (2 / 28 * (-9 / 84) + (-5))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (* (/ n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -197, \"b\": 2, \"c\": 28, \"d\": -9, \"e\": 84, \"f\": -5}", "seed": "15928133053048111494", "semantic_fingerprint": "sha256:dcccd0c1624e2a12f589a900f667b4438c85253954c9896b73ee393bfd416230", "generator_version": "3.0"}
{"id": "v3_val_00001886", "prompt": "Evaluate: 0 - (-29)", "solution_steps": ["Subtract: 0 - (-29) = 29"], "final_answer": "29", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-29)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -29}", "seed": "4429569696933727811", "semantic_fingerprint": "sha256:9ec3a7817797321605bd6d53a90674425a350dea7bf2965a398eb04a4972e43f", "generator_version": "3.0"}
{"id": "v3_val_00001887", "prompt": "What is 251 / 98 * (-838)?", "solution_steps": ["Divide: 251 / 98 = 251/98", "Multiply: (251/98) * (-838) = -105169/49"], "final_answer": "-105169/49", "answer_type": "rational", "kind": "expression", "math_text": "251 / 98 * (-838)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 251, \"b\": 98, \"c\": -838}", "seed": "12205682525867999925", "semantic_fingerprint": "sha256:6602db886bbc7577dc2bb35b16987042305fbbb45ba253da1dbefcfb5d31d6ea", "generator_version": "3.0"}
{"id": "v3_val_00001888", "prompt": "What is -86 + (87 / (-33) - (-68))?", "solution_steps": ["Divide: 87 / (-33) = -29/11", "Subtract: -29/11 - (-68) = 719/11", "Add: -86 + 719/11 = -227/11"], "final_answer": "-227/11", "answer_type": "rational", "kind": "expression", "math_text": "-86 + (87 / (-33) - (-68))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 87, \"c\": -33, \"d\": -68}", "seed": "13265502817248536003", "semantic_fingerprint": "sha256:0b3f45c748f98b1b02ac46f8c920488a5fc06c4131df6bfc71996997eb955784", "generator_version": "3.0"}
{"id": "v3_val_00001889", "prompt": "Find x: 9(x - 5) = x - 117", "solution_steps": ["Expand: 9x - 45 = x - 117", "Subtract x from both sides: 8x - 45 = -117", "Add 45 to both sides: 8x = -72", "Divide both sides by 8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 5) = x - 117", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"d\": -117, \"x\": -9}", "seed": "14138341573141606775", "semantic_fingerprint": "sha256:81a884556e09c1f19dc3b79621e4b5aea1bc194ead54edfda1e787981e6a7378", "generator_version": "3.0"}
{"id": "v3_val_00001890", "prompt": "Compute: -1 * (-6 - (-572 - 9 * (-645 / (-292))))", "solution_steps": ["Divide: -645 / (-292) = 645/292", "Multiply: 9 * (645/292) = 5805/292", "Subtract: -572 - 5805/292 = -172829/292", "Subtract: -6 - (-172829/292) = 171077/292", "Multiply: -1 * (171077/292) = -171077/292"], "final_answer": "-171077/292", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-6 - (-572 - 9 * (-645 / (-292))))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (- n (* n (/ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -6, \"c\": -572, \"d\": 9, \"e\": -645, \"f\": -292}", "seed": "2281389624234964796", "semantic_fingerprint": "sha256:e918477fb98ab64e085eccef5e5407cf9985abdf028c95fe1cf2bba81766db8e", "generator_version": "3.0"}
{"id": "v3_val_00001891", "prompt": "What is 29 - 3?", "solution_steps": ["Subtract: 29 - 3 = 26"], "final_answer": "26", "answer_type": "integer", "kind": "expression", "math_text": "29 - 3", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 3}", "seed": "2539546842649986542", "semantic_fingerprint": "sha256:4313b3110471691ff8d49582b159436efed0ac855bb6d15311b05a2db2cf7d57", "generator_version": "3.0"}
{"id": "v3_val_00001892", "prompt": "Calculate: -757 / (413 - 45)", "solution_steps": ["Subtract: 413 - 45 = 368", "Divide: -757 / 368 = -757/368"], "final_answer": "-757/368", "answer_type": "rational", "kind": "expression", "math_text": "-757 / (413 - 45)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -757, \"b\": 413, \"c\": 45}", "seed": "14786870189760745363", "semantic_fingerprint": "sha256:15785d59dbf529d628d3c2d3be7c8153a3ce57f115e923897d2721d3cd893979", "generator_version": "3.0"}
{"id": "v3_val_00001893", "prompt": "Evaluate: -59 * (-4) - (-52)", "solution_steps": ["Multiply: -59 * (-4) = 236", "Subtract: 236 - (-52) = 288"], "final_answer": "288", "answer_type": "integer", "kind": "expression", "math_text": "-59 * (-4) - (-52)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -4, \"c\": -52}", "seed": "7308121733138960536", "semantic_fingerprint": "sha256:0d0c88ce984406ffcbda522fae5dcd54724a9d2337086cf3487bcbae9c2d0ecf", "generator_version": "3.0"}
{"id": "v3_val_00001894", "prompt": "Calculate: -85 / (0 * 306 - (-47) * 7)", "solution_steps": ["Multiply: 0 * 306 = 0", "Multiply: -47 * 7 = -329", "Subtract: 0 - (-329) = 329", "Divide: -85 / 329 = -85/329"], "final_answer": "-85/329", "answer_type": "rational", "kind": "expression", "math_text": "-85 / (0 * 306 - (-47) * 7)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 0, \"c\": 306, \"d\": -47, \"e\": 7}", "seed": "3971421876660608410", "semantic_fingerprint": "sha256:7b205db95660a410adc50038dda731362c761714c92cf1ca8a6a32a07f5fe375", "generator_version": "3.0"}
{"id": "v3_val_00001895", "prompt": "What is 16 * (-66) / 7?", "solution_steps": ["Multiply: 16 * (-66) = -1056", "Divide: -1056 / 7 = -1056/7"], "final_answer": "-1056/7", "answer_type": "rational", "kind": "expression", "math_text": "16 * (-66) / 7", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": -66, \"c\": 7}", "seed": "1551705033513200078", "semantic_fingerprint": "sha256:a00f8da3b0df23122f9e688e247d66a79f6818ed8a90231018efb7ebb54a5c77", "generator_version": "3.0"}
{"id": "v3_val_00001896", "prompt": "Calculate: -13 * (-577) * (33 * (-4))", "solution_steps": ["Multiply: -13 * (-577) = 7501", "Multiply: 33 * (-4) = -132", "Multiply: 7501 * (-132) = -990132"], "final_answer": "-990132", "answer_type": "integer", "kind": "expression", "math_text": "-13 * (-577) * (33 * (-4))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -577, \"c\": 33, \"d\": -4}", "seed": "3219583461061746901", "semantic_fingerprint": "sha256:6cf6d52141a1e41fa745e18794c1e398fb95d0a31ec5fb335635872cd8f7c2ca", "generator_version": "3.0"}
{"id": "v3_val_00001897", "prompt": "Calculate: -528 * 40", "solution_steps": ["Multiply: -528 * 40 = -21120"], "final_answer": "-21120", "answer_type": "integer", "kind": "expression", "math_text": "-528 * 40", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -528, \"b\": 40}", "seed": "17079993998000463019", "semantic_fingerprint": "sha256:ea4befcfcf9b79fe86540f6cc814876f9482ef77777a2d4875f3b24816e39425", "generator_version": "3.0"}
{"id": "v3_val_00001898", "prompt": "Solve the equation 5(x - 56) = -7(x + 3) for x.", "solution_steps": ["Expand: 5x - 280 = -7(x + 3)", "Expand: 5x - 280 = -7x - 21", "Add 7x to both sides: 12x - 280 = -21", "Add 280 to both sides: 12x = 259", "Divide both sides by 12: x = 259/12"], "final_answer": "259/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 56) = -7(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 56, \"c\": -7, \"d\": 3}", "seed": "3061906973280101142", "semantic_fingerprint": "sha256:f36fcd5261017862e058d1a9577e31d5160a0534cce37394fb01beebf789d82e", "generator_version": "3.0"}
{"id": "v3_val_00001899", "prompt": "Find x: 10(x - 3) + 4 = -46", "solution_steps": ["Expand: 10x - 30 + 4 = -46", "Combine constants: 10x - 26 = -46", "Add 26 to both sides: 10x = -20", "Divide both sides by 10: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 3) + 4 = -46", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 4, \"e\": -46, \"x\": -2}", "seed": "337306402294754804", "semantic_fingerprint": "sha256:a64eb66310709bddd89c555b9a659819eade873b3d24172162e12ea583cf062a", "generator_version": "3.0"}
{"id": "v3_val_00001900", "prompt": "Evaluate: -93 * (59 / 642) + 5", "solution_steps": ["Divide: 59 / 642 = 59/642", "Multiply: -93 * (59/642) = -1829/214", "Add: -1829/214 + 5 = -759/214"], "final_answer": "-759/214", "answer_type": "rational", "kind": "expression", "math_text": "-93 * (59 / 642) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 59, \"c\": 642, \"d\": 5}", "seed": "7353369520085772976", "semantic_fingerprint": "sha256:09e7a5644c76f0eb514bc4f63a1204e754d1768bc6eb19dc8541d5765f272392", "generator_version": "3.0"}
{"id": "v3_val_00001901", "prompt": "Calculate: -5 + (13 + 11) * (-39) + (-48) / (-65)", "solution_steps": ["Add: 13 + 11 = 24", "Multiply: 24 * (-39) = -936", "Add: -5 + (-936) = -941", "Divide: -48 / (-65) = 48/65", "Add: -941 + 48/65 = -61117/65"], "final_answer": "-61117/65", "answer_type": "rational", "kind": "expression", "math_text": "-5 + (13 + 11) * (-39) + (-48) / (-65)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* (+ n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 13, \"c\": 11, \"d\": -39, \"e\": -48, \"f\": -65}", "seed": "12159035210959984626", "semantic_fingerprint": "sha256:5a46adcf18033e255eaf9074ad3f09ea1b1c136350f8278d544cb5df0738087c", "generator_version": "3.0"}
{"id": "v3_val_00001902", "prompt": "Solve for x: 10(x - 4) + 9 = x - 211", "solution_steps": ["Expand: 10x - 40 + 9 = x - 211", "Combine constants: 10x - 31 = x - 211", "Subtract x from both sides: 9x - 31 = -211", "Add 31 to both sides: 9x = -180", "Divide both sides by 9: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 4) + 9 = x - 211", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 9, \"e\": -211, \"x\": -20}", "seed": "1084034272340750034", "semantic_fingerprint": "sha256:de98e7c812aff3018311e3bdf444bd5ab35b49f514eea4458b2531742ac8cf32", "generator_version": "3.0"}
{"id": "v3_val_00001903", "prompt": "Compute: -776 / (6 * 6)", "solution_steps": ["Multiply: 6 * 6 = 36", "Divide: -776 / 36 = -194/9"], "final_answer": "-194/9", "answer_type": "rational", "kind": "expression", "math_text": "-776 / (6 * 6)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -776, \"b\": 6, \"c\": 6}", "seed": "7129149528192242415", "semantic_fingerprint": "sha256:506e62173b388710a54f91143a7385379bdc0463d27d6cf693f1e4f64be44be2", "generator_version": "3.0"}
{"id": "v3_val_00001904", "prompt": "What is (-4 - 13) * (1 * 739) - (-116 + 43)?", "solution_steps": ["Subtract: -4 - 13 = -17", "Multiply: 1 * 739 = 739", "Multiply: -17 * 739 = -12563", "Add: -116 + 43 = -73", "Subtract: -12563 - (-73) = -12490"], "final_answer": "-12490", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - 13) * (1 * 739) - (-116 + 43)", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 13, \"c\": 1, \"d\": 739, \"e\": -116, \"f\": 43}", "seed": "5053284839095405738", "semantic_fingerprint": "sha256:a1996ec9bfd47a41486bbd2d402df7c14fc9b7c59c8e9c495312b1f36339df22", "generator_version": "3.0"}
{"id": "v3_val_00001905", "prompt": "Find x: -6(x - 10) = -11x + 140", "solution_steps": ["Expand: -6x + 60 = -11x + 140", "Add 11x to both sides: 5x + 60 = 140", "Subtract 60 from both sides: 5x = 80", "Divide both sides by 5: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 10) = -11x + 140", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 10, \"c\": -11, \"e\": 140, \"x\": 16}", "seed": "18129455577540709227", "semantic_fingerprint": "sha256:bf43b5c0534140520305e7e8be6d308f4bd3ae8922fe401e5d58979c75d225bd", "generator_version": "3.0"}
{"id": "v3_val_00001906", "prompt": "What is 535 + 47 + (55 + (-4))?", "solution_steps": ["Add: 535 + 47 = 582", "Add: 55 + (-4) = 51", "Add: 582 + 51 = 633"], "final_answer": "633", "answer_type": "integer", "kind": "expression", "math_text": "535 + 47 + (55 + (-4))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 535, \"b\": 47, \"c\": 55, \"d\": -4}", "seed": "15404676099110421646", "semantic_fingerprint": "sha256:2ea09a41dd27e0dda6dbbb974b1530896cf15d92b43aa2ee0d8bd99344b3bcd3", "generator_version": "3.0"}
{"id": "v3_val_00001907", "prompt": "Calculate: 94 / (-8 + (7 - 79))", "solution_steps": ["Subtract: 7 - 79 = -72", "Add: -8 + (-72) = -80", "Divide: 94 / (-80) = -47/40"], "final_answer": "-47/40", "answer_type": "rational", "kind": "expression", "math_text": "94 / (-8 + (7 - 79))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -8, \"c\": 7, \"d\": 79}", "seed": "6428589793974349143", "semantic_fingerprint": "sha256:57828253f4ea46b5fc09d801483ae38716f59190964b8fd728c1bc5831dc3cd1", "generator_version": "3.0"}
{"id": "v3_val_00001908", "prompt": "Find x: -2(x - 94) = 9x + 528", "solution_steps": ["Expand: -2x + 188 = 9x + 528", "Subtract 9x from both sides: -11x + 188 = 528", "Subtract 188 from both sides: -11x = 340", "Divide both sides by -11: x = -340/11"], "final_answer": "-340/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 94) = 9x + 528", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 94, \"c\": 9, \"d\": 528}", "seed": "11458599798138379806", "semantic_fingerprint": "sha256:20224c36ede38b2fe4ec858d5af25083a73355d9b91316357ced262e4004c211", "generator_version": "3.0"}
{"id": "v3_val_00001909", "prompt": "What value of x satisfies x + 42 = 2(x + 6) + 47?", "solution_steps": ["Expand: x + 42 = 2x + 12 + 47", "Combine constants: x + 42 = 2x + 59", "Subtract 2x from both sides: -x + 42 = 59", "Subtract 42 from both sides: -x = 17", "Divide both sides by -1: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 42 = 2(x + 6) + 47", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 2, \"c\": 6, \"e\": 47, \"x\": -17}", "seed": "11426855421590546832", "semantic_fingerprint": "sha256:a36d6e7c34e1a7db8e8228bd3e26ae73cf1f0788601c2e187baafe942edd3d9d", "generator_version": "3.0"}
{"id": "v3_val_00001910", "prompt": "What is (-17 - 45) * (-6 + (682 + (-90)))?", "solution_steps": ["Subtract: -17 - 45 = -62", "Add: 682 + (-90) = 592", "Add: -6 + 592 = 586", "Multiply: -62 * 586 = -36332"], "final_answer": "-36332", "answer_type": "integer", "kind": "expression", "math_text": "(-17 - 45) * (-6 + (682 + (-90)))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 45, \"c\": -6, \"d\": 682, \"e\": -90}", "seed": "16332452118684175138", "semantic_fingerprint": "sha256:ddd8df991e8e320701ba063398fa97977d71698ed66f371f56af2e7bd97ff0db", "generator_version": "3.0"}
{"id": "v3_val_00001911", "prompt": "Evaluate: 10 + (-8) / (-770)", "solution_steps": ["Divide: -8 / (-770) = 4/385", "Add: 10 + 4/385 = 3854/385"], "final_answer": "3854/385", "answer_type": "rational", "kind": "expression", "math_text": "10 + (-8) / (-770)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -8, \"c\": -770}", "seed": "9201894211616120514", "semantic_fingerprint": "sha256:7a93ec973d3dbfa705c22c33466f0eec1c3650e7076bef95f0454559a3b7f3b3", "generator_version": "3.0"}
{"id": "v3_val_00001912", "prompt": "What is 9 * (-95 / 60)?", "solution_steps": ["Divide: -95 / 60 = -19/12", "Multiply: 9 * (-19/12) = -57/4"], "final_answer": "-57/4", "answer_type": "rational", "kind": "expression", "math_text": "9 * (-95 / 60)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -95, \"c\": 60}", "seed": "5405201056615421064", "semantic_fingerprint": "sha256:49037c9ae7d34038fcb3c85f9afac69a98244b735e97aeddde3571932d65f3de", "generator_version": "3.0"}
{"id": "v3_val_00001913", "prompt": "Solve the equation 12(x - 129) + 15 = 5(x - 1) - 72 for x.", "solution_steps": ["Expand: 12x - 1548 + 15 = 5(x - 1) - 72", "Expand: 12x - 1548 + 15 = 5x - 5 - 72", "Combine constants: 12x - 1533 = 5x - 5 - 72", "Combine constants: 12x - 1533 = 5x - 77", "Subtract 5x from both sides: 7x - 1533 = -77", "Add 1533 to both sides: 7x = 1456", "Divide both sides by 7: x = 208"], "final_answer": "208", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 129) + 15 = 5(x - 1) - 72", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 129, \"c\": 15, \"d\": 5, \"e\": 1, \"f\": 72}", "seed": "4259306620846935157", "semantic_fingerprint": "sha256:db0cf5d4d83c546347c88a0310ce17f0222e06b475f7b3e0e7be240dd33c39fe", "generator_version": "3.0"}
{"id": "v3_val_00001914", "prompt": "Compute: -552 - (-52) * (-88)", "solution_steps": ["Multiply: -52 * (-88) = 4576", "Subtract: -552 - 4576 = -5128"], "final_answer": "-5128", "answer_type": "integer", "kind": "expression", "math_text": "-552 - (-52) * (-88)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -552, \"b\": -52, \"c\": -88}", "seed": "13042699856954836629", "semantic_fingerprint": "sha256:2472bdc57e14a3c9fe91d720154ac08ee6deb2af3827bc0f0b324eda2918d262", "generator_version": "3.0"}
{"id": "v3_val_00001915", "prompt": "Solve for x: 3x - 6 = 7x + 42", "solution_steps": ["Subtract 7x from both sides: -4x - 6 = 42", "Add 6 to both sides: -4x = 48", "Divide both sides by -4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 6 = 7x + 42", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 7, \"d\": 42}", "seed": "6752365760160503664", "semantic_fingerprint": "sha256:c6889d9c88aef63b27344319cdcc8a1d6eff516ca9b0a8f85b9c79c8e02991e5", "generator_version": "3.0"}
{"id": "v3_val_00001916", "prompt": "Evaluate: -151 - 91", "solution_steps": ["Subtract: -151 - 91 = -242"], "final_answer": "-242", "answer_type": "integer", "kind": "expression", "math_text": "-151 - 91", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -151, \"b\": 91}", "seed": "16425367039742975738", "semantic_fingerprint": "sha256:e76f20b46c1bfbf2d5f85165fba14a2268eeb8081ff1b2dd013c1f79c94f1dcf", "generator_version": "3.0"}
{"id": "v3_val_00001917", "prompt": "What value of x satisfies -10x + 308 = 12x?", "solution_steps": ["Subtract 12x from both sides: -22x + 308 = 0", "Subtract 308 from both sides: -22x = -308", "Divide both sides by -22: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x + 308 = 12x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 12, \"d\": 308, \"x\": 14}", "seed": "11601868705171381445", "semantic_fingerprint": "sha256:4863b20ad8ba843d6382cfe8216715a2896dcbb68c97ad2edc7789fb9c8e6943", "generator_version": "3.0"}
{"id": "v3_val_00001918", "prompt": "Solve the equation -5(x + 14) + 1 = 3(x - 21) + 66 for x.", "solution_steps": ["Expand: -5x - 70 + 1 = 3(x - 21) + 66", "Expand: -5x - 70 + 1 = 3x - 63 + 66", "Combine constants: -5x - 69 = 3x - 63 + 66", "Combine constants: -5x - 69 = 3x + 3", "Subtract 3x from both sides: -8x - 69 = 3", "Add 69 to both sides: -8x = 72", "Divide both sides by -8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 14) + 1 = 3(x - 21) + 66", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 14, \"c\": 1, \"d\": 3, \"e\": 21, \"g\": 66, \"x\": -9}", "seed": "9715224277155746785", "semantic_fingerprint": "sha256:a8aaa1d989f55b9e1bf733d692f63e9eb5e25d021343f1ab705a338c8492d897", "generator_version": "3.0"}
{"id": "v3_val_00001919", "prompt": "Find x: 3x - 9 = 8x", "solution_steps": ["Subtract 8x from both sides: -5x - 9 = 0", "Add 9 to both sides: -5x = 9", "Divide both sides by -5: x = -9/5"], "final_answer": "-9/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 9 = 8x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 8}", "seed": "3430142145794900881", "semantic_fingerprint": "sha256:2f401049f576b7b68f766cb7467871e5c5f42920b37d96c735325257edd1b2fe", "generator_version": "3.0"}
{"id": "v3_val_00001920", "prompt": "Find x: 6(x + 4) + 7 = 7(x - 4) + 51", "solution_steps": ["Expand: 6x + 24 + 7 = 7(x - 4) + 51", "Expand: 6x + 24 + 7 = 7x - 28 + 51", "Combine constants: 6x + 31 = 7x - 28 + 51", "Combine constants: 6x + 31 = 7x + 23", "Subtract 7x from both sides: -x + 31 = 23", "Subtract 31 from both sides: -x = -8", "Divide both sides by -1: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 4) + 7 = 7(x - 4) + 51", "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\": 7, \"d\": 7, \"e\": 4, \"g\": 51, \"x\": 8}", "seed": "6351390555203571364", "semantic_fingerprint": "sha256:fae84befeab0ef345b082d2cc01a4797bd5acacade854f1929de6348b58efd0e", "generator_version": "3.0"}
{"id": "v3_val_00001921", "prompt": "Calculate: -49 * 0 * (-24 + 2)", "solution_steps": ["Multiply: -49 * 0 = 0", "Add: -24 + 2 = -22", "Multiply: 0 * (-22) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-49 * 0 * (-24 + 2)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 0, \"c\": -24, \"d\": 2}", "seed": "8319279595215820690", "semantic_fingerprint": "sha256:9a9002ad9d2c76fe1177ed51844b59159a5245e40db674b4a7b4a746ae0c02fc", "generator_version": "3.0"}
{"id": "v3_val_00001922", "prompt": "Solve the equation 4(x + 445) + 5 = 9(x + 124) + 769 for x.", "solution_steps": ["Expand: 4x + 1780 + 5 = 9(x + 124) + 769", "Expand: 4x + 1780 + 5 = 9x + 1116 + 769", "Combine constants: 4x + 1785 = 9x + 1116 + 769", "Combine constants: 4x + 1785 = 9x + 1885", "Subtract 9x from both sides: -5x + 1785 = 1885", "Subtract 1785 from both sides: -5x = 100", "Divide both sides by -5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 445) + 5 = 9(x + 124) + 769", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 445, \"c\": 5, \"d\": 9, \"e\": 124, \"g\": 769, \"x\": -20}", "seed": "6382589323332811503", "semantic_fingerprint": "sha256:ab5991fdc6c4e49f98c5a4077ad447f12d92d300de20a8eee23b47ecffc2f57e", "generator_version": "3.0"}
{"id": "v3_val_00001923", "prompt": "Calculate: 887 / (-82) - (-2 + 8) * 7", "solution_steps": ["Divide: 887 / (-82) = -887/82", "Add: -2 + 8 = 6", "Multiply: 6 * 7 = 42", "Subtract: -887/82 - 42 = -4331/82"], "final_answer": "-4331/82", "answer_type": "rational", "kind": "expression", "math_text": "887 / (-82) - (-2 + 8) * 7", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 887, \"b\": -82, \"c\": -2, \"d\": 8, \"e\": 7}", "seed": "5474228418852211629", "semantic_fingerprint": "sha256:253fd63f381d3f3357ec0bbb846a2d4ceb26b2127b7f9d1516d7a748eaf61a40", "generator_version": "3.0"}
{"id": "v3_val_00001924", "prompt": "Compute: 51 * (-19)", "solution_steps": ["Multiply: 51 * (-19) = -969"], "final_answer": "-969", "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": "8552729845412634258", "semantic_fingerprint": "sha256:06f205b2266ab6c92c82601099a6bb6705b5ae31568eedfcb0523cfc39a790b5", "generator_version": "3.0"}
{"id": "v3_val_00001925", "prompt": "Calculate: 656 - (70 + (-26))", "solution_steps": ["Add: 70 + (-26) = 44", "Subtract: 656 - 44 = 612"], "final_answer": "612", "answer_type": "integer", "kind": "expression", "math_text": "656 - (70 + (-26))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 656, \"b\": 70, \"c\": -26}", "seed": "9830400807542854102", "semantic_fingerprint": "sha256:3a9b49d7181567ffb8bebd7e2153b17d5ce40d985d658312402abe493dfd8556", "generator_version": "3.0"}
{"id": "v3_val_00001926", "prompt": "Evaluate: -82 * (-49 / 36)", "solution_steps": ["Divide: -49 / 36 = -49/36", "Multiply: -82 * (-49/36) = 2009/18"], "final_answer": "2009/18", "answer_type": "rational", "kind": "expression", "math_text": "-82 * (-49 / 36)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -49, \"c\": 36}", "seed": "12807326147332572503", "semantic_fingerprint": "sha256:69d7f1136fa4bd0535e42250afd68488a1fe154095018e20ec0aa14d23ec06c4", "generator_version": "3.0"}
{"id": "v3_val_00001927", "prompt": "Calculate: -22 + (-719 + (-59))", "solution_steps": ["Add: -719 + (-59) = -778", "Add: -22 + (-778) = -800"], "final_answer": "-800", "answer_type": "integer", "kind": "expression", "math_text": "-22 + (-719 + (-59))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -719, \"c\": -59}", "seed": "5888260909571924307", "semantic_fingerprint": "sha256:6a0d36e3df77a9d966a3aa29c12815028f30bbfe22a9ea74eac511d3ac9f0d30", "generator_version": "3.0"}
{"id": "v3_val_00001928", "prompt": "Calculate: -1 - (-37 - 78) / 11", "solution_steps": ["Subtract: -37 - 78 = -115", "Divide: -115 / 11 = -115/11", "Subtract: -1 - (-115/11) = 104/11"], "final_answer": "104/11", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (-37 - 78) / 11", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -37, \"c\": 78, \"d\": 11}", "seed": "14384070281050786133", "semantic_fingerprint": "sha256:a00d74d86f03d1849a3cc17118a0671b3d4cc0bd6ae70ca7db32da45b9b5ebbd", "generator_version": "3.0"}
{"id": "v3_val_00001929", "prompt": "What is -21 - 859 * (-3)?", "solution_steps": ["Multiply: 859 * (-3) = -2577", "Subtract: -21 - (-2577) = 2556"], "final_answer": "2556", "answer_type": "integer", "kind": "expression", "math_text": "-21 - 859 * (-3)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 859, \"c\": -3}", "seed": "13981465931356853669", "semantic_fingerprint": "sha256:50de956ecd0456f801582f4ebee35a6fe3b3d96022297839e75f27c71647d0d3", "generator_version": "3.0"}
{"id": "v3_val_00001930", "prompt": "Calculate: -7 - (-78 + (-6))", "solution_steps": ["Add: -78 + (-6) = -84", "Subtract: -7 - (-84) = 77"], "final_answer": "77", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-78 + (-6))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -78, \"c\": -6}", "seed": "14193310188410911329", "semantic_fingerprint": "sha256:9f7ead25039a26e487912e1611184c2fc57d955256fa03dbfd58077b9259065f", "generator_version": "3.0"}
{"id": "v3_val_00001931", "prompt": "Compute: (20 + 2 + 0) / 67", "solution_steps": ["Add: 20 + 2 = 22", "Add: 22 + 0 = 22", "Divide: 22 / 67 = 22/67"], "final_answer": "22/67", "answer_type": "rational", "kind": "expression", "math_text": "(20 + 2 + 0) / 67", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 2, \"c\": 0, \"d\": 67}", "seed": "4726089397846114550", "semantic_fingerprint": "sha256:4031c7fefc376b988df55c21247c406a6231acde3a890b0b63c63211d222d99f", "generator_version": "3.0"}
{"id": "v3_val_00001932", "prompt": "Evaluate: 1 - (-2) + (-50 / (-209) + 93 / (-231))", "solution_steps": ["Subtract: 1 - (-2) = 3", "Divide: -50 / (-209) = 50/209", "Divide: 93 / (-231) = -31/77", "Add: 50/209 + (-31/77) = -239/1463", "Add: 3 + (-239/1463) = 4150/1463"], "final_answer": "4150/1463", "answer_type": "rational", "kind": "expression", "math_text": "1 - (-2) + (-50 / (-209) + 93 / (-231))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ (/ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -2, \"c\": -50, \"d\": -209, \"e\": 93, \"f\": -231}", "seed": "3935891264189108140", "semantic_fingerprint": "sha256:0c354756d714395bd69df88db5f9fd2b26c9ec1a57047f4241c7123fe4ee9f7a", "generator_version": "3.0"}
{"id": "v3_val_00001933", "prompt": "Solve for x: 3(x - 21) - 42 = 10x", "solution_steps": ["Expand: 3x - 63 - 42 = 10x", "Combine constants: 3x - 105 = 10x", "Subtract 10x from both sides: -7x - 105 = 0", "Add 105 to both sides: -7x = 105", "Divide both sides by -7: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 21) - 42 = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 21, \"c\": 10, \"e\": -42, \"x\": -15}", "seed": "2845981712464319668", "semantic_fingerprint": "sha256:489293d8cc04a6e0ba43afc3037a2d8cd90578a4ff3ae49ec43c417241bac486", "generator_version": "3.0"}
{"id": "v3_val_00001934", "prompt": "Find x: 9(x - 72) + 202 = -266", "solution_steps": ["Expand: 9x - 648 + 202 = -266", "Combine constants: 9x - 446 = -266", "Add 446 to both sides: 9x = 180", "Divide both sides by 9: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 72) + 202 = -266", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 72, \"c\": 202, \"e\": -266, \"x\": 20}", "seed": "13236926768109115019", "semantic_fingerprint": "sha256:7952da04b306a72e5be3ae783c654596b148eca11b31e31feac17dc9fcd014de", "generator_version": "3.0"}
{"id": "v3_val_00001935", "prompt": "Calculate: 88 + (1 - (-589) * (-7))", "solution_steps": ["Multiply: -589 * (-7) = 4123", "Subtract: 1 - 4123 = -4122", "Add: 88 + (-4122) = -4034"], "final_answer": "-4034", "answer_type": "integer", "kind": "expression", "math_text": "88 + (1 - (-589) * (-7))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 1, \"c\": -589, \"d\": -7}", "seed": "5561503093443540423", "semantic_fingerprint": "sha256:dfee3db697064c318a7ec480edba3fd60b5d077aead9f091feb42f69db8afcea", "generator_version": "3.0"}
{"id": "v3_val_00001936", "prompt": "Evaluate: 9 - 66 - 9", "solution_steps": ["Subtract: 9 - 66 = -57", "Subtract: -57 - 9 = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "expression", "math_text": "9 - 66 - 9", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 66, \"c\": 9}", "seed": "10804184650194479665", "semantic_fingerprint": "sha256:7173827aad1bf1a1a5e1d425f99c4772b6c39dd1c764bb78e38ac5e42c3d95c2", "generator_version": "3.0"}
{"id": "v3_val_00001937", "prompt": "Calculate: (-775 - (387 - (-84)) - 18) / 710", "solution_steps": ["Subtract: 387 - (-84) = 471", "Subtract: -775 - 471 = -1246", "Subtract: -1246 - 18 = -1264", "Divide: -1264 / 710 = -632/355"], "final_answer": "-632/355", "answer_type": "rational", "kind": "expression", "math_text": "(-775 - (387 - (-84)) - 18) / 710", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -775, \"b\": 387, \"c\": -84, \"d\": 18, \"e\": 710}", "seed": "195440758324776435", "semantic_fingerprint": "sha256:70d7848aaf09a070f8a741ecd5195119b573b4882093a26aa641e3edd7fbfc2c", "generator_version": "3.0"}
{"id": "v3_val_00001938", "prompt": "Calculate: (192 + (-7 + 279)) / (98 + (-62 - (-668)))", "solution_steps": ["Add: -7 + 279 = 272", "Add: 192 + 272 = 464", "Subtract: -62 - (-668) = 606", "Add: 98 + 606 = 704", "Divide: 464 / 704 = 29/44"], "final_answer": "29/44", "answer_type": "rational", "kind": "expression", "math_text": "(192 + (-7 + 279)) / (98 + (-62 - (-668)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 192, \"b\": -7, \"c\": 279, \"d\": 98, \"e\": -62, \"f\": -668}", "seed": "5764462682669188778", "semantic_fingerprint": "sha256:79b1f0d6d63a254181b4a1f71a7873131f1a5edd2d6cad413a99b165f51529ce", "generator_version": "3.0"}
{"id": "v3_val_00001939", "prompt": "Evaluate: -561 + 87 / 9", "solution_steps": ["Divide: 87 / 9 = 29/3", "Add: -561 + 29/3 = -1654/3"], "final_answer": "-1654/3", "answer_type": "rational", "kind": "expression", "math_text": "-561 + 87 / 9", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -561, \"b\": 87, \"c\": 9}", "seed": "8224272813850761758", "semantic_fingerprint": "sha256:f62c4872d311438a354700b37e6d6722a1c75a81184d2b64d85b305529b1ea9c", "generator_version": "3.0"}
{"id": "v3_val_00001940", "prompt": "Find x: 4(x - 58) = x + 9", "solution_steps": ["Expand: 4x - 232 = x + 9", "Subtract x from both sides: 3x - 232 = 9", "Add 232 to both sides: 3x = 241", "Divide both sides by 3: x = 241/3"], "final_answer": "241/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 58) = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 58, \"c\": 9}", "seed": "986047969007513647", "semantic_fingerprint": "sha256:4abf6883e93fb3419ed2e4dcc88cb635300e844ef9b4b0cc826098398060ec91", "generator_version": "3.0"}
{"id": "v3_val_00001941", "prompt": "Evaluate: -9 * (-44 * (-77) - (-98))", "solution_steps": ["Multiply: -44 * (-77) = 3388", "Subtract: 3388 - (-98) = 3486", "Multiply: -9 * 3486 = -31374"], "final_answer": "-31374", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-44 * (-77) - (-98))", "variable": null, "family": "expression_3op", "shape": "(* n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -44, \"c\": -77, \"d\": -98}", "seed": "17000410107970763565", "semantic_fingerprint": "sha256:b160bef20dfb57ad67ab93e5aa8967e19056a88aef1c83693c252e20cc4d86e9", "generator_version": "3.0"}
{"id": "v3_val_00001942", "prompt": "What is -5 / (277 / (-3) + (-182 - 43))?", "solution_steps": ["Divide: 277 / (-3) = -277/3", "Subtract: -182 - 43 = -225", "Add: -277/3 + (-225) = -952/3", "Divide: -5 / (-952/3) = 15/952"], "final_answer": "15/952", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (277 / (-3) + (-182 - 43))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 277, \"c\": -3, \"d\": -182, \"e\": 43}", "seed": "6999294885356820792", "semantic_fingerprint": "sha256:3185a6e6ef67e8f26121e5543b67bdbd9ed9fb261bb2750c599654ce01e8f784", "generator_version": "3.0"}
{"id": "v3_val_00001943", "prompt": "Calculate: (7 + (-838) + (47 + 729)) / 8 + (-57)", "solution_steps": ["Add: 7 + (-838) = -831", "Add: 47 + 729 = 776", "Add: -831 + 776 = -55", "Divide: -55 / 8 = -55/8", "Add: -55/8 + (-57) = -511/8"], "final_answer": "-511/8", "answer_type": "rational", "kind": "expression", "math_text": "(7 + (-838) + (47 + 729)) / 8 + (-57)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ (+ n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -838, \"c\": 47, \"d\": 729, \"e\": 8, \"f\": -57}", "seed": "18332282884765966391", "semantic_fingerprint": "sha256:b7305d567fab454b49f4b6a1788bc2301889dda4dd5c43f8da0d8615c6f96f51", "generator_version": "3.0"}
{"id": "v3_val_00001944", "prompt": "Calculate: -13 * (-34)", "solution_steps": ["Multiply: -13 * (-34) = 442"], "final_answer": "442", "answer_type": "integer", "kind": "expression", "math_text": "-13 * (-34)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -34}", "seed": "13245927012170872632", "semantic_fingerprint": "sha256:c5dc317a5bd8713e83bbb5c3b1bbdf29e82e0c3043b595989f47120478750ddc", "generator_version": "3.0"}
{"id": "v3_val_00001945", "prompt": "Solve for x: x - 92 = 4x - 80", "solution_steps": ["Subtract 4x from both sides: -3x - 92 = -80", "Add 92 to both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 92 = 4x - 80", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 4, \"d\": -80, \"x\": -4}", "seed": "18327497322591317541", "semantic_fingerprint": "sha256:eb48e1af46616b353137d2f2f8358faa75000a1b07c8bd0d7c38547b166a0303", "generator_version": "3.0"}
{"id": "v3_val_00001946", "prompt": "What value of x satisfies -2(x - 397) - 938 = -11x?", "solution_steps": ["Expand: -2x + 794 - 938 = -11x", "Combine constants: -2x - 144 = -11x", "Add 11x to 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": "-2(x - 397) - 938 = -11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 397, \"c\": -11, \"e\": -938, \"x\": 16}", "seed": "5776063802762794199", "semantic_fingerprint": "sha256:8cdfe1cfc9b3616f1aea89ceb9628937a8ffa9bdac6f15125ef39cc1c8ff4346", "generator_version": "3.0"}
{"id": "v3_val_00001947", "prompt": "Find x: x - 4 = -3(x - 38) - 98", "solution_steps": ["Expand: x - 4 = -3x + 114 - 98", "Combine constants: x - 4 = -3x + 16", "Add 3x to both sides: 4x - 4 = 16", "Add 4 to both sides: 4x = 20", "Divide both sides by 4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = -3(x - 38) - 98", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -3, \"c\": 38, \"e\": -98, \"x\": 5}", "seed": "11173098920906524809", "semantic_fingerprint": "sha256:fafb888f36707754d53fa4760a8139be43633b8773a56d44690e1bdf32e7aee3", "generator_version": "3.0"}
{"id": "v3_val_00001948", "prompt": "Evaluate: (6 - 85) / (636 - 550)", "solution_steps": ["Subtract: 6 - 85 = -79", "Subtract: 636 - 550 = 86", "Divide: -79 / 86 = -79/86"], "final_answer": "-79/86", "answer_type": "rational", "kind": "expression", "math_text": "(6 - 85) / (636 - 550)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 85, \"c\": 636, \"d\": 550}", "seed": "7703568412571845914", "semantic_fingerprint": "sha256:edc98316b4c04de5f75bcb526f5a93d0335c767e9a7c6046232511e36ac8ec78", "generator_version": "3.0"}
{"id": "v3_val_00001949", "prompt": "Calculate: (-893 + (-29)) * (5 - 27)", "solution_steps": ["Add: -893 + (-29) = -922", "Subtract: 5 - 27 = -22", "Multiply: -922 * (-22) = 20284"], "final_answer": "20284", "answer_type": "integer", "kind": "expression", "math_text": "(-893 + (-29)) * (5 - 27)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -893, \"b\": -29, \"c\": 5, \"d\": 27}", "seed": "4191727668309206378", "semantic_fingerprint": "sha256:9df74ede518354608e5e95b53abd4718d1c6a7dde0d20fb9d01e26910f633f1d", "generator_version": "3.0"}
{"id": "v3_val_00001950", "prompt": "What is (-330 - 10 - 2) * (-81 - 4)?", "solution_steps": ["Subtract: -330 - 10 = -340", "Subtract: -340 - 2 = -342", "Subtract: -81 - 4 = -85", "Multiply: -342 * (-85) = 29070"], "final_answer": "29070", "answer_type": "integer", "kind": "expression", "math_text": "(-330 - 10 - 2) * (-81 - 4)", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -330, \"b\": 10, \"c\": 2, \"d\": -81, \"e\": 4}", "seed": "18038484407762184798", "semantic_fingerprint": "sha256:ec72b9534b15a5eb625251f6ec7f25d2f7194d70fc1d19bc060cb0c9081c3732", "generator_version": "3.0"}
{"id": "v3_val_00001951", "prompt": "What value of x satisfies -5(x - 3) = -2x + 57?", "solution_steps": ["Expand: -5x + 15 = -2x + 57", "Add 2x to both sides: -3x + 15 = 57", "Subtract 15 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 - 3) = -2x + 57", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": -2, \"e\": 57, \"x\": -14}", "seed": "18169947358289991394", "semantic_fingerprint": "sha256:2d04edc1cfdc2da03dede64760ca7d65ef82fbd1951726166bbd2aeacbbd4ba4", "generator_version": "3.0"}
{"id": "v3_val_00001952", "prompt": "Solve for x: x - 142 = 5x - 118", "solution_steps": ["Subtract 5x from both sides: -4x - 142 = -118", "Add 142 to both sides: -4x = 24", "Divide both sides by -4: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 142 = 5x - 118", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 142, \"b\": 5, \"d\": -118, \"x\": -6}", "seed": "9180775859264490668", "semantic_fingerprint": "sha256:9b8011337e1034e6147a7eb64e535e70e5b5b2b8364eca9507e7d3c3b6c03810", "generator_version": "3.0"}
{"id": "v3_val_00001953", "prompt": "What is 0 + (81 * (-799) + 8)?", "solution_steps": ["Multiply: 81 * (-799) = -64719", "Add: -64719 + 8 = -64711", "Add: 0 + (-64711) = -64711"], "final_answer": "-64711", "answer_type": "integer", "kind": "expression", "math_text": "0 + (81 * (-799) + 8)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 81, \"c\": -799, \"d\": 8}", "seed": "13923084085027369420", "semantic_fingerprint": "sha256:249f8b4ce5c41542b19847660eeb1a8a481dc4fe47edfc17f8ce7eca962ce495", "generator_version": "3.0"}
{"id": "v3_val_00001954", "prompt": "Compute: 719 + (770 + (61 - 81))", "solution_steps": ["Subtract: 61 - 81 = -20", "Add: 770 + (-20) = 750", "Add: 719 + 750 = 1469"], "final_answer": "1469", "answer_type": "integer", "kind": "expression", "math_text": "719 + (770 + (61 - 81))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 719, \"b\": 770, \"c\": 61, \"d\": 81}", "seed": "474562354502441076", "semantic_fingerprint": "sha256:101422e1b0c4409ba349175023e1e722d4fe6acd222cca1e186ff8c95d884648", "generator_version": "3.0"}
{"id": "v3_val_00001955", "prompt": "Evaluate: (85 - (-91)) / (98 + 0) / (-290)", "solution_steps": ["Subtract: 85 - (-91) = 176", "Add: 98 + 0 = 98", "Divide: 176 / 98 = 88/49", "Divide: (88/49) / (-290) = -44/7105"], "final_answer": "-44/7105", "answer_type": "rational", "kind": "expression", "math_text": "(85 - (-91)) / (98 + 0) / (-290)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -91, \"c\": 98, \"d\": 0, \"e\": -290}", "seed": "10166753368013113329", "semantic_fingerprint": "sha256:95b281e54ed5f6bce58bb18a4172a60e4547ccf24817972bfd6e4f810e3e4395", "generator_version": "3.0"}
{"id": "v3_val_00001956", "prompt": "Evaluate: -909 - (-35) - 9", "solution_steps": ["Subtract: -909 - (-35) = -874", "Subtract: -874 - 9 = -883"], "final_answer": "-883", "answer_type": "integer", "kind": "expression", "math_text": "-909 - (-35) - 9", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -909, \"b\": -35, \"c\": 9}", "seed": "13253525890217318296", "semantic_fingerprint": "sha256:3b1836689898dd0d79138d573a2168c6b793c961614c4dc2f4a5fc0c5b7948e8", "generator_version": "3.0"}
{"id": "v3_val_00001957", "prompt": "Evaluate: 53 - (16 - (-8) + (-10))", "solution_steps": ["Subtract: 16 - (-8) = 24", "Add: 24 + (-10) = 14", "Subtract: 53 - 14 = 39"], "final_answer": "39", "answer_type": "integer", "kind": "expression", "math_text": "53 - (16 - (-8) + (-10))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 16, \"c\": -8, \"d\": -10}", "seed": "4796995829918724956", "semantic_fingerprint": "sha256:257f74a9dd8b125467a7c357c9711aadfea16cf743beec3acd4d15f3bc8514bd", "generator_version": "3.0"}
{"id": "v3_val_00001958", "prompt": "Evaluate: 80 * (-748) + (853 + 7)", "solution_steps": ["Multiply: 80 * (-748) = -59840", "Add: 853 + 7 = 860", "Add: -59840 + 860 = -58980"], "final_answer": "-58980", "answer_type": "integer", "kind": "expression", "math_text": "80 * (-748) + (853 + 7)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -748, \"c\": 853, \"d\": 7}", "seed": "13483230845735097744", "semantic_fingerprint": "sha256:869701718813fbd07e62dc5f177f9e9713bc6303999205fb55716f30b902bd7a", "generator_version": "3.0"}
{"id": "v3_val_00001959", "prompt": "Evaluate: -840 + (-4)", "solution_steps": ["Add: -840 + (-4) = -844"], "final_answer": "-844", "answer_type": "integer", "kind": "expression", "math_text": "-840 + (-4)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -840, \"b\": -4}", "seed": "12359830851584939953", "semantic_fingerprint": "sha256:1a3191f05c7113d1b149826a6ba303408e49f87ccd0490641cc5ff24dda5ce11", "generator_version": "3.0"}
{"id": "v3_val_00001960", "prompt": "Evaluate: 44 / ((-5 - (-16)) / 730)", "solution_steps": ["Subtract: -5 - (-16) = 11", "Divide: 11 / 730 = 11/730", "Divide: 44 / (11/730) = 2920"], "final_answer": "2920", "answer_type": "integer", "kind": "expression", "math_text": "44 / ((-5 - (-16)) / 730)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -5, \"c\": -16, \"d\": 730}", "seed": "5663147487015605302", "semantic_fingerprint": "sha256:aa37d66b8b3bc57e8187fc8ccc352e9c6a68312093f8e8646538038d509944b2", "generator_version": "3.0"}
{"id": "v3_val_00001961", "prompt": "Compute: 4 + 9 - 7 + 73 / 8", "solution_steps": ["Add: 4 + 9 = 13", "Subtract: 13 - 7 = 6", "Divide: 73 / 8 = 73/8", "Add: 6 + 73/8 = 121/8"], "final_answer": "121/8", "answer_type": "rational", "kind": "expression", "math_text": "4 + 9 - 7 + 73 / 8", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 7, \"d\": 73, \"e\": 8}", "seed": "1265525105354065622", "semantic_fingerprint": "sha256:1b61847c2a06ddedc6640df79d7b9bb880a96d1e232fca89d2e291ddc0d8cd67", "generator_version": "3.0"}
{"id": "v3_val_00001962", "prompt": "Evaluate: -330 * (7 / (0 + (-2)) + (-124)) - (-97)", "solution_steps": ["Add: 0 + (-2) = -2", "Divide: 7 / (-2) = -7/2", "Add: -7/2 + (-124) = -255/2", "Multiply: -330 * (-255/2) = 42075", "Subtract: 42075 - (-97) = 42172"], "final_answer": "42172", "answer_type": "integer", "kind": "expression", "math_text": "-330 * (7 / (0 + (-2)) + (-124)) - (-97)", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ (/ n (+ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -330, \"b\": 7, \"c\": 0, \"d\": -2, \"e\": -124, \"f\": -97}", "seed": "910566645429067961", "semantic_fingerprint": "sha256:846abadebf09842642a00b21d9962a499fb496c7b4f0382742eeedb1a64e0631", "generator_version": "3.0"}
{"id": "v3_val_00001963", "prompt": "What is 69 - (6 + (-9))?", "solution_steps": ["Add: 6 + (-9) = -3", "Subtract: 69 - (-3) = 72"], "final_answer": "72", "answer_type": "integer", "kind": "expression", "math_text": "69 - (6 + (-9))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 6, \"c\": -9}", "seed": "14175277403699642498", "semantic_fingerprint": "sha256:aab41382b68b7600aa89eb895b5a5629dce79a89c23a5702a47d09378f9e5d00", "generator_version": "3.0"}
{"id": "v3_val_00001964", "prompt": "Solve for x: 11(x + 5) = -6x + 44", "solution_steps": ["Expand: 11x + 55 = -6x + 44", "Add 6x to both sides: 17x + 55 = 44", "Subtract 55 from both sides: 17x = -11", "Divide both sides by 17: x = -11/17"], "final_answer": "-11/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 5) = -6x + 44", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": -6, \"d\": 44}", "seed": "2634019673064018427", "semantic_fingerprint": "sha256:8e0079442242498e63ef420136afe503f26b149ce85dd12af1e1f53380c5bf3a", "generator_version": "3.0"}
{"id": "v3_val_00001965", "prompt": "Find x: -9(x + 5) = 2(x - 4)", "solution_steps": ["Expand: -9x - 45 = 2(x - 4)", "Expand: -9x - 45 = 2x - 8", "Subtract 2x from both sides: -11x - 45 = -8", "Add 45 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": "-9(x + 5) = 2(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 2, \"d\": 4}", "seed": "4029518749423905534", "semantic_fingerprint": "sha256:5e5578d636f6728d7e7e3b58b84f56224ee67475b8bcf8ac014bc7affb157490", "generator_version": "3.0"}
{"id": "v3_val_00001966", "prompt": "Evaluate: -411 - (-32) / (-87) / 3", "solution_steps": ["Divide: -32 / (-87) = 32/87", "Divide: (32/87) / 3 = 32/261", "Subtract: -411 - 32/261 = -107303/261"], "final_answer": "-107303/261", "answer_type": "rational", "kind": "expression", "math_text": "-411 - (-32) / (-87) / 3", "variable": null, "family": "expression_3op", "shape": "(- n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -411, \"b\": -32, \"c\": -87, \"d\": 3}", "seed": "14174852819328570909", "semantic_fingerprint": "sha256:36a0d85b39f3696ba1a90c308f879cf39a9f6a01b1bb1277ba6c59ad996c1df5", "generator_version": "3.0"}
{"id": "v3_val_00001967", "prompt": "Compute: 204 / (-12)", "solution_steps": ["Divide: 204 / (-12) = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "expression", "math_text": "204 / (-12)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 204, \"b\": -12}", "seed": "6033985114939203063", "semantic_fingerprint": "sha256:063595fd989f522fca1de8a97654c00e9e8da3e8aa8a9f4e304cd5ecb857d2ff", "generator_version": "3.0"}
{"id": "v3_val_00001968", "prompt": "Solve the equation 6x = 36 for x.", "solution_steps": ["Divide both sides by 6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 36", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": 36, \"x\": 6}", "seed": "356292015927185738", "semantic_fingerprint": "sha256:8f25a886c5a6340d3be40adf68138991249c0f5086aa38c776803b23ffce0ced", "generator_version": "3.0"}
{"id": "v3_val_00001969", "prompt": "Compute: 0 * (30 - 57 / (-37))", "solution_steps": ["Divide: 57 / (-37) = -57/37", "Subtract: 30 - (-57/37) = 1167/37", "Multiply: 0 * (1167/37) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (30 - 57 / (-37))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 30, \"c\": 57, \"d\": -37}", "seed": "11520298799209977400", "semantic_fingerprint": "sha256:8dc2bd45fe1202850897dd98bcd8ff87a13f1bb91ad9b437c3561f89a89f56c2", "generator_version": "3.0"}
{"id": "v3_val_00001970", "prompt": "What is -77 + (-373) - (-1)?", "solution_steps": ["Add: -77 + (-373) = -450", "Subtract: -450 - (-1) = -449"], "final_answer": "-449", "answer_type": "integer", "kind": "expression", "math_text": "-77 + (-373) - (-1)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -373, \"c\": -1}", "seed": "8059331193239174551", "semantic_fingerprint": "sha256:9bcb86ede23bfe4ba40deb961cf74486f3bf35143bbc81623ea9a7c8f1bfbb69", "generator_version": "3.0"}
{"id": "v3_val_00001971", "prompt": "Solve the equation x = 12(x - 7) - 4 for x.", "solution_steps": ["Expand: x = 12x - 84 - 4", "Combine constants: x = 12x - 88", "Subtract 12x from both sides: -11x = -88", "Divide both sides by -11: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 12(x - 7) - 4", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"d\": -4, \"x\": 8}", "seed": "18033319365981134035", "semantic_fingerprint": "sha256:a4a84a71459946658334b95ce4b1633aed7967962933f9922c0d1997a5c2067b", "generator_version": "3.0"}
{"id": "v3_val_00001972", "prompt": "What value of x satisfies 7(x - 61) = x?", "solution_steps": ["Expand: 7x - 427 = x", "Subtract x from both sides: 6x - 427 = 0", "Add 427 to both sides: 6x = 427", "Divide both sides by 6: x = 427/6"], "final_answer": "427/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 61) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 61}", "seed": "14504033359969134110", "semantic_fingerprint": "sha256:642a60d4e20139bc674ee246b512bd46508aa7440096eb7edef7efe4672e5063", "generator_version": "3.0"}
{"id": "v3_val_00001973", "prompt": "What value of x satisfies 3(x + 58) - 9 = 5x + 163?", "solution_steps": ["Expand: 3x + 174 - 9 = 5x + 163", "Combine constants: 3x + 165 = 5x + 163", "Subtract 5x from both sides: -2x + 165 = 163", "Subtract 165 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 + 58) - 9 = 5x + 163", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 58, \"c\": 9, \"d\": 5, \"f\": 163, \"x\": 1}", "seed": "15076725831900250355", "semantic_fingerprint": "sha256:8a179499cd9a785474bd13a34cbe9c4a0980a485f750bde97d10dcfa43b83b34", "generator_version": "3.0"}
{"id": "v3_val_00001974", "prompt": "Evaluate: -20 + 986 / 89", "solution_steps": ["Divide: 986 / 89 = 986/89", "Add: -20 + 986/89 = -794/89"], "final_answer": "-794/89", "answer_type": "rational", "kind": "expression", "math_text": "-20 + 986 / 89", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 986, \"c\": 89}", "seed": "17510514672907311685", "semantic_fingerprint": "sha256:dc0e592601a5dc43ec48f501113101e706aa57808fa2235c8392989474dba459", "generator_version": "3.0"}
{"id": "v3_val_00001975", "prompt": "Compute: -51 * (-52)", "solution_steps": ["Multiply: -51 * (-52) = 2652"], "final_answer": "2652", "answer_type": "integer", "kind": "expression", "math_text": "-51 * (-52)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -52}", "seed": "5660003856553145760", "semantic_fingerprint": "sha256:661070ea96057151b7b4ee4b20d5db9e13a662b67c4d909f6075b1e74ace9138", "generator_version": "3.0"}
{"id": "v3_val_00001976", "prompt": "What value of x satisfies 12(x + 4) + 55 = -8x?", "solution_steps": ["Expand: 12x + 48 + 55 = -8x", "Combine constants: 12x + 103 = -8x", "Add 8x to both sides: 20x + 103 = 0", "Subtract 103 from both sides: 20x = -103", "Divide both sides by 20: x = -103/20"], "final_answer": "-103/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 4) + 55 = -8x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 55, \"d\": -8}", "seed": "17767575848074671167", "semantic_fingerprint": "sha256:628a1d692a01b35810646cf90f4fc6fabc1b2d8cda82977d8cef733c9d19187e", "generator_version": "3.0"}
{"id": "v3_val_00001977", "prompt": "Find x: 12x + 42 = -5(x + 17) + 348", "solution_steps": ["Expand: 12x + 42 = -5x - 85 + 348", "Combine constants: 12x + 42 = -5x + 263", "Add 5x to both sides: 17x + 42 = 263", "Subtract 42 from both sides: 17x = 221", "Divide both sides by 17: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 42 = -5(x + 17) + 348", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 42, \"c\": -5, \"d\": 17, \"f\": 348, \"x\": 13}", "seed": "17613179794838089053", "semantic_fingerprint": "sha256:b4230e9debeb03cdc39dcb470cadddfa148787efe2985e2631c246b1e2d20db8", "generator_version": "3.0"}
{"id": "v3_val_00001978", "prompt": "What is (-6 - 586) / (-28) + (-19) / (0 + (-3))?", "solution_steps": ["Subtract: -6 - 586 = -592", "Divide: -592 / (-28) = 148/7", "Add: 0 + (-3) = -3", "Divide: -19 / (-3) = 19/3", "Add: 148/7 + 19/3 = 577/21"], "final_answer": "577/21", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - 586) / (-28) + (-19) / (0 + (-3))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 586, \"c\": -28, \"d\": -19, \"e\": 0, \"f\": -3}", "seed": "17274557799232283590", "semantic_fingerprint": "sha256:d293b2a631fc235270b401829eb6acc61e02f5b8b697cfb26504f0de7e993b02", "generator_version": "3.0"}
{"id": "v3_val_00001979", "prompt": "Compute: -9 / (-40 - 4) - (-86 + 65)", "solution_steps": ["Subtract: -40 - 4 = -44", "Divide: -9 / (-44) = 9/44", "Add: -86 + 65 = -21", "Subtract: 9/44 - (-21) = 933/44"], "final_answer": "933/44", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-40 - 4) - (-86 + 65)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -40, \"c\": 4, \"d\": -86, \"e\": 65}", "seed": "3186150554045978006", "semantic_fingerprint": "sha256:5f182ef10460892402c1d7baa9e66017436d90470fac04ae14bc206c4cd4fa51", "generator_version": "3.0"}
{"id": "v3_val_00001980", "prompt": "Evaluate: -341 + (-809 - 761)", "solution_steps": ["Subtract: -809 - 761 = -1570", "Add: -341 + (-1570) = -1911"], "final_answer": "-1911", "answer_type": "integer", "kind": "expression", "math_text": "-341 + (-809 - 761)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -341, \"b\": -809, \"c\": 761}", "seed": "7164948435568958739", "semantic_fingerprint": "sha256:3452c1ad69562ecc5cc9d51d23cbf96a3bff8287743ffa31b612855853c02013", "generator_version": "3.0"}
{"id": "v3_val_00001981", "prompt": "Evaluate: (5 - (-64)) / (-437 / (-361))", "solution_steps": ["Subtract: 5 - (-64) = 69", "Divide: -437 / (-361) = 23/19", "Divide: 69 / (23/19) = 57"], "final_answer": "57", "answer_type": "integer", "kind": "expression", "math_text": "(5 - (-64)) / (-437 / (-361))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -64, \"c\": -437, \"d\": -361}", "seed": "15407322886686618522", "semantic_fingerprint": "sha256:b2133201d44e77c485bfff3887bea2f972b254b7a0744fed3d934b8657a3a84e", "generator_version": "3.0"}
{"id": "v3_val_00001982", "prompt": "Solve the equation -6x = x - 50 for x.", "solution_steps": ["Subtract x from both sides: -7x = -50", "Divide both sides by -7: x = 50/7"], "final_answer": "50/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x = x - 50", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 50}", "seed": "9674321318910198185", "semantic_fingerprint": "sha256:dc7088445481303691bb8b6a3f136fa9917ed73c3c0b1839c136d363375a21a7", "generator_version": "3.0"}
{"id": "v3_val_00001983", "prompt": "Solve for x: -4x = 4(x - 26)", "solution_steps": ["Expand: -4x = 4x - 104", "Subtract 4x from both sides: -8x = -104", "Divide both sides by -8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = 4(x - 26)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 26}", "seed": "11712058556491306074", "semantic_fingerprint": "sha256:0543ae7324097fe38129646d9458954dd660a86d1db52084c9e0273176f1041f", "generator_version": "3.0"}
{"id": "v3_val_00001984", "prompt": "Evaluate: (5 + 84) * (-5)", "solution_steps": ["Add: 5 + 84 = 89", "Multiply: 89 * (-5) = -445"], "final_answer": "-445", "answer_type": "integer", "kind": "expression", "math_text": "(5 + 84) * (-5)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 84, \"c\": -5}", "seed": "12811436402956945823", "semantic_fingerprint": "sha256:b6307bdfc585bcafff6a92a064784deb0490580c7771fcf219d3d4b54bca2093", "generator_version": "3.0"}
{"id": "v3_val_00001985", "prompt": "Compute: 49 / (-1) * (-11)", "solution_steps": ["Divide: 49 / (-1) = -49", "Multiply: -49 * (-11) = 539"], "final_answer": "539", "answer_type": "integer", "kind": "expression", "math_text": "49 / (-1) * (-11)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -1, \"c\": -11}", "seed": "2803799575596624866", "semantic_fingerprint": "sha256:e06c924540214d2f049f6e42ee585a6f800d6437af62edeb04490ee9c60efc6b", "generator_version": "3.0"}
{"id": "v3_val_00001986", "prompt": "Solve the equation 12(x - 34) = 5x for x.", "solution_steps": ["Expand: 12x - 408 = 5x", "Subtract 5x from both sides: 7x - 408 = 0", "Add 408 to both sides: 7x = 408", "Divide both sides by 7: x = 408/7"], "final_answer": "408/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 34) = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 34, \"c\": 5}", "seed": "3729100146756651236", "semantic_fingerprint": "sha256:3bc3110695309246eb88accc73a870c5569b73f12e684a1df692bc8a6f4124cc", "generator_version": "3.0"}
{"id": "v3_val_00001987", "prompt": "Find x: 7(x + 411) + 5 = 10(x - 9) + 4", "solution_steps": ["Expand: 7x + 2877 + 5 = 10(x - 9) + 4", "Expand: 7x + 2877 + 5 = 10x - 90 + 4", "Combine constants: 7x + 2882 = 10x - 90 + 4", "Combine constants: 7x + 2882 = 10x - 86", "Subtract 10x from both sides: -3x + 2882 = -86", "Subtract 2882 from both sides: -3x = -2968", "Divide both sides by -3: x = 2968/3"], "final_answer": "2968/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 411) + 5 = 10(x - 9) + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 411, \"c\": 5, \"d\": 10, \"e\": 9, \"f\": 4}", "seed": "16070920358857489687", "semantic_fingerprint": "sha256:4ec2ed8f7accd3aa6779b6442f16273fb15bd6321b0098f4a4ad7a2ac7ec1fbf", "generator_version": "3.0"}
{"id": "v3_val_00001988", "prompt": "Find x: -5x - 51 = -10(x - 48) - 466", "solution_steps": ["Expand: -5x - 51 = -10x + 480 - 466", "Combine constants: -5x - 51 = -10x + 14", "Add 10x to both sides: 5x - 51 = 14", "Add 51 to both sides: 5x = 65", "Divide both sides by 5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 51 = -10(x - 48) - 466", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 51, \"c\": -10, \"d\": 48, \"f\": -466, \"x\": 13}", "seed": "4931739140670232085", "semantic_fingerprint": "sha256:f294871b9425e1ca0443c2bc4eb525fa569d9d1ab40d89ffc0ac5b903be24ef7", "generator_version": "3.0"}
{"id": "v3_val_00001989", "prompt": "Evaluate: 55 + 71 - 6", "solution_steps": ["Add: 55 + 71 = 126", "Subtract: 126 - 6 = 120"], "final_answer": "120", "answer_type": "integer", "kind": "expression", "math_text": "55 + 71 - 6", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 71, \"c\": 6}", "seed": "10090643164888447495", "semantic_fingerprint": "sha256:07e576e1707bbbcc7c4876dddcb51c72f7ca006eb2a92be863569c64ec06af30", "generator_version": "3.0"}
{"id": "v3_val_00001990", "prompt": "Solve for x: x + 823 = -8(x + 4) + 693", "solution_steps": ["Expand: x + 823 = -8x - 32 + 693", "Combine constants: x + 823 = -8x + 661", "Add 8x to both sides: 9x + 823 = 661", "Subtract 823 from both sides: 9x = -162", "Divide both sides by 9: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 823 = -8(x + 4) + 693", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 823, \"b\": -8, \"c\": 4, \"e\": 693, \"x\": -18}", "seed": "16074603352269295615", "semantic_fingerprint": "sha256:c2b78b7386c08e469067aa47819eb396f09c46a98a576907fa5cffc0f727dc34", "generator_version": "3.0"}
{"id": "v3_val_00001991", "prompt": "Calculate: (-1 - 3) * 788", "solution_steps": ["Subtract: -1 - 3 = -4", "Multiply: -4 * 788 = -3152"], "final_answer": "-3152", "answer_type": "integer", "kind": "expression", "math_text": "(-1 - 3) * 788", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 3, \"c\": 788}", "seed": "16274985011282116511", "semantic_fingerprint": "sha256:c9fa47c7190eff9b41c9a2c4f9d46c9b9242ab9e09bd8be35ed7b432b5890162", "generator_version": "3.0"}
{"id": "v3_val_00001992", "prompt": "Find x: 8x + 1 = x", "solution_steps": ["Subtract x from both sides: 7x + 1 = 0", "Subtract 1 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": "8x + 1 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1}", "seed": "17317408061180990761", "semantic_fingerprint": "sha256:36f45d22166b39b769be1d24eda43cf0727844ff54660050f49d086033d4f62a", "generator_version": "3.0"}
{"id": "v3_val_00001993", "prompt": "What value of x satisfies 12(x - 70) + 7 = 4x - 24?", "solution_steps": ["Expand: 12x - 840 + 7 = 4x - 24", "Combine constants: 12x - 833 = 4x - 24", "Subtract 4x from both sides: 8x - 833 = -24", "Add 833 to both sides: 8x = 809", "Divide both sides by 8: x = 809/8"], "final_answer": "809/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 70) + 7 = 4x - 24", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 70, \"c\": 7, \"d\": 4, \"e\": 24}", "seed": "16158815406000919993", "semantic_fingerprint": "sha256:8e9ab0187d4438389f87f6051cab30667cd29686d5f9db2e4d985d6ec496ebf4", "generator_version": "3.0"}
{"id": "v3_val_00001994", "prompt": "Calculate: 698 * (-6) * 64", "solution_steps": ["Multiply: 698 * (-6) = -4188", "Multiply: -4188 * 64 = -268032"], "final_answer": "-268032", "answer_type": "integer", "kind": "expression", "math_text": "698 * (-6) * 64", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 698, \"b\": -6, \"c\": 64}", "seed": "17037403032324921729", "semantic_fingerprint": "sha256:7586edda9d7e0b59386668f929a83e196260f6ba562d3af69767b3d6e763216f", "generator_version": "3.0"}
{"id": "v3_val_00001995", "prompt": "What is (-51 + (-7)) / 17?", "solution_steps": ["Add: -51 + (-7) = -58", "Divide: -58 / 17 = -58/17"], "final_answer": "-58/17", "answer_type": "rational", "kind": "expression", "math_text": "(-51 + (-7)) / 17", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -7, \"c\": 17}", "seed": "3502307334597033523", "semantic_fingerprint": "sha256:a16ab55198582e9f6c045f457a5ac630d78116d2bbd973a3c074b9f1bf4fc71b", "generator_version": "3.0"}
{"id": "v3_val_00001996", "prompt": "Evaluate: 787 / (587 + (-981)) + (-2 - 5)", "solution_steps": ["Add: 587 + (-981) = -394", "Divide: 787 / (-394) = -787/394", "Subtract: -2 - 5 = -7", "Add: -787/394 + (-7) = -3545/394"], "final_answer": "-3545/394", "answer_type": "rational", "kind": "expression", "math_text": "787 / (587 + (-981)) + (-2 - 5)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 787, \"b\": 587, \"c\": -981, \"d\": -2, \"e\": 5}", "seed": "11882874924328424923", "semantic_fingerprint": "sha256:66723d19cdb36164632a32931e857a653fb697d984c5c2742a3020005ddd633d", "generator_version": "3.0"}
{"id": "v3_val_00001997", "prompt": "Solve for x: 3(x - 91) - 7 = 10(x + 8)", "solution_steps": ["Expand: 3x - 273 - 7 = 10(x + 8)", "Expand: 3x - 273 - 7 = 10x + 80", "Combine constants: 3x - 280 = 10x + 80", "Subtract 10x from both sides: -7x - 280 = 80", "Add 280 to both sides: -7x = 360", "Divide both sides by -7: x = -360/7"], "final_answer": "-360/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 91) - 7 = 10(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 91, \"c\": 7, \"d\": 10, \"e\": 8}", "seed": "551275822981833812", "semantic_fingerprint": "sha256:b5e693378d51f9249b2cca457bc79def546b4d54ac77f65b1bdf375c8b3ffd38", "generator_version": "3.0"}
{"id": "v3_val_00001998", "prompt": "Solve for x: 6(x - 83) + 13 = 2x - 3", "solution_steps": ["Expand: 6x - 498 + 13 = 2x - 3", "Combine constants: 6x - 485 = 2x - 3", "Subtract 2x from both sides: 4x - 485 = -3", "Add 485 to both sides: 4x = 482", "Divide both sides by 4: x = 241/2"], "final_answer": "241/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 83) + 13 = 2x - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 83, \"c\": 13, \"d\": 2, \"e\": 3}", "seed": "6540512093433708886", "semantic_fingerprint": "sha256:df42701c122009d1f3ecc1d6c0beaeca48f08a2cad0e3e15038f878a255d4134", "generator_version": "3.0"}
{"id": "v3_val_00001999", "prompt": "Solve the equation 4x + 154 = x + 193 for x.", "solution_steps": ["Subtract x from both sides: 3x + 154 = 193", "Subtract 154 from both sides: 3x = 39", "Divide both sides by 3: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 154 = x + 193", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 154, \"d\": 193, \"x\": 13}", "seed": "9773739779650237429", "semantic_fingerprint": "sha256:648da95f85ac24976cb4ad384919f8191acd1d50bcd0b3f0cc85bbdff59da7bf", "generator_version": "3.0"}
{"id": "v3_val_00002000", "prompt": "Calculate: -928 - (-698) + 0", "solution_steps": ["Subtract: -928 - (-698) = -230", "Add: -230 + 0 = -230"], "final_answer": "-230", "answer_type": "integer", "kind": "expression", "math_text": "-928 - (-698) + 0", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -928, \"b\": -698, \"c\": 0}", "seed": "16784680944102466064", "semantic_fingerprint": "sha256:b2c6d9c55539bee4f7fa406bf62d594daa13dfbcf3fe053de727478420bb7176", "generator_version": "3.0"}
{"id": "v3_val_00002001", "prompt": "Solve for x: 10x = x + 108", "solution_steps": ["Subtract x from both sides: 9x = 108", "Divide both sides by 9: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = x + 108", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": 108, \"x\": 12}", "seed": "2606955993539084707", "semantic_fingerprint": "sha256:bd547f34954e172b2aa04d34845c76085c9409981cf3a0f96fc06c03b9dd0b77", "generator_version": "3.0"}
{"id": "v3_val_00002002", "prompt": "Solve the equation x - 9 = 12(x + 2) - 176 for x.", "solution_steps": ["Expand: x - 9 = 12x + 24 - 176", "Combine constants: x - 9 = 12x - 152", "Subtract 12x from both sides: -11x - 9 = -152", "Add 9 to both sides: -11x = -143", "Divide both sides by -11: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 12(x + 2) - 176", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"c\": 2, \"e\": -176, \"x\": 13}", "seed": "14755119378924087468", "semantic_fingerprint": "sha256:7294ee0ab4492f740938583dee93a5d12c4f9790fd6f79f36cc6c4d378117592", "generator_version": "3.0"}
{"id": "v3_val_00002003", "prompt": "What is 24 / (74 - (73 + (-3)))?", "solution_steps": ["Add: 73 + (-3) = 70", "Subtract: 74 - 70 = 4", "Divide: 24 / 4 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "24 / (74 - (73 + (-3)))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 74, \"c\": 73, \"d\": -3}", "seed": "17174653481667043897", "semantic_fingerprint": "sha256:88e35b99e3c6ef76a936f2d978a95684038031e8b20ef81fe9311a4a26b43953", "generator_version": "3.0"}
{"id": "v3_val_00002004", "prompt": "What is 33 + 89 - 1?", "solution_steps": ["Add: 33 + 89 = 122", "Subtract: 122 - 1 = 121"], "final_answer": "121", "answer_type": "integer", "kind": "expression", "math_text": "33 + 89 - 1", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 89, \"c\": 1}", "seed": "5003250061666124068", "semantic_fingerprint": "sha256:7b7e02fedcbe29b92c06efe8b8b9c97084df2abacf1491246ecb2c10a594933c", "generator_version": "3.0"}
{"id": "v3_val_00002005", "prompt": "Solve for x: 6(x - 29) + 183 = 5x", "solution_steps": ["Expand: 6x - 174 + 183 = 5x", "Combine constants: 6x + 9 = 5x", "Subtract 5x from both sides: x + 9 = 0", "Subtract 9 from both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 29) + 183 = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 29, \"c\": 5, \"e\": 183, \"x\": -9}", "seed": "13441255518679048338", "semantic_fingerprint": "sha256:7750b5bc37bf5fe2998036d4ed0d9193ede4faf3c49e20c7a6560bb631ed4d43", "generator_version": "3.0"}
{"id": "v3_val_00002006", "prompt": "What value of x satisfies 11(x - 83) = -3(x - 47)?", "solution_steps": ["Expand: 11x - 913 = -3(x - 47)", "Expand: 11x - 913 = -3x + 141", "Add 3x to both sides: 14x - 913 = 141", "Add 913 to both sides: 14x = 1054", "Divide both sides by 14: x = 527/7"], "final_answer": "527/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 83) = -3(x - 47)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 83, \"c\": -3, \"d\": 47}", "seed": "8155895896747636142", "semantic_fingerprint": "sha256:b52a37424b78126cf7cea299e005cfdd8d89b9f9c00336fdd95b19a5bcbc8c60", "generator_version": "3.0"}
{"id": "v3_val_00002007", "prompt": "What is 31 * (65 - (9 - 7)) + 26?", "solution_steps": ["Subtract: 9 - 7 = 2", "Subtract: 65 - 2 = 63", "Multiply: 31 * 63 = 1953", "Add: 1953 + 26 = 1979"], "final_answer": "1979", "answer_type": "integer", "kind": "expression", "math_text": "31 * (65 - (9 - 7)) + 26", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 65, \"c\": 9, \"d\": 7, \"e\": 26}", "seed": "16431037134656731716", "semantic_fingerprint": "sha256:2ab17bd9278eca88c86f5be810c9ab58ed7789e102bec22b80badeaa52cff0e9", "generator_version": "3.0"}
{"id": "v3_val_00002008", "prompt": "What is 2 * 150 * 38?", "solution_steps": ["Multiply: 2 * 150 = 300", "Multiply: 300 * 38 = 11400"], "final_answer": "11400", "answer_type": "integer", "kind": "expression", "math_text": "2 * 150 * 38", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 150, \"c\": 38}", "seed": "8959364739758730065", "semantic_fingerprint": "sha256:8b6220bc5fed0b9b61181eeb772530c4a023412efb18b2dbb347de61e5ae8e88", "generator_version": "3.0"}
{"id": "v3_val_00002009", "prompt": "Evaluate: 196 / (45 + 82) - 21", "solution_steps": ["Add: 45 + 82 = 127", "Divide: 196 / 127 = 196/127", "Subtract: 196/127 - 21 = -2471/127"], "final_answer": "-2471/127", "answer_type": "rational", "kind": "expression", "math_text": "196 / (45 + 82) - 21", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 196, \"b\": 45, \"c\": 82, \"d\": 21}", "seed": "8956807873737192869", "semantic_fingerprint": "sha256:16d6cab7bbcf4d87917d39c1ba762f16195346b2539e51c30c3c477fb618ee6b", "generator_version": "3.0"}
{"id": "v3_val_00002010", "prompt": "Evaluate: (140 - 539 - (-474)) * 54 / 349", "solution_steps": ["Subtract: 140 - 539 = -399", "Subtract: -399 - (-474) = 75", "Multiply: 75 * 54 = 4050", "Divide: 4050 / 349 = 4050/349"], "final_answer": "4050/349", "answer_type": "rational", "kind": "expression", "math_text": "(140 - 539 - (-474)) * 54 / 349", "variable": null, "family": "expression_4op", "shape": "(/ (* (- (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 140, \"b\": 539, \"c\": -474, \"d\": 54, \"e\": 349}", "seed": "15517885944603155929", "semantic_fingerprint": "sha256:a3b9a520055e96de1d607a8be262dc010eec55ae4ff47cc8def5498469083d93", "generator_version": "3.0"}
{"id": "v3_val_00002011", "prompt": "Calculate: -49 / (-7) / (-2 + (-685) * 8)", "solution_steps": ["Divide: -49 / (-7) = 7", "Multiply: -685 * 8 = -5480", "Add: -2 + (-5480) = -5482", "Divide: 7 / (-5482) = -7/5482"], "final_answer": "-7/5482", "answer_type": "rational", "kind": "expression", "math_text": "-49 / (-7) / (-2 + (-685) * 8)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -7, \"c\": -2, \"d\": -685, \"e\": 8}", "seed": "6669918421397118114", "semantic_fingerprint": "sha256:10f8bbc7f0503d8075600d48cc1b9dba0e130bba3a72082085323335bc616ae3", "generator_version": "3.0"}
{"id": "v3_val_00002012", "prompt": "Evaluate: -2 + 4 - 679", "solution_steps": ["Add: -2 + 4 = 2", "Subtract: 2 - 679 = -677"], "final_answer": "-677", "answer_type": "integer", "kind": "expression", "math_text": "-2 + 4 - 679", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": 679}", "seed": "2616601491858868688", "semantic_fingerprint": "sha256:1ae16a15d79e177c8c5cd3e5ef165114dd4ccdbe58144423bc783e5509e1eed9", "generator_version": "3.0"}
{"id": "v3_val_00002013", "prompt": "What value of x satisfies 5x + 78 = 11x?", "solution_steps": ["Subtract 11x from both sides: -6x + 78 = 0", "Subtract 78 from both sides: -6x = -78", "Divide both sides by -6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 78 = 11x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 11, \"d\": 78, \"x\": 13}", "seed": "7960282807830964319", "semantic_fingerprint": "sha256:17bd8c777e693a6422b9bbd1d289d6c89bc4c1cb39202413d250bd45e75f8c89", "generator_version": "3.0"}
{"id": "v3_val_00002014", "prompt": "What value of x satisfies 9x = -3x + 132?", "solution_steps": ["Add 3x to both sides: 12x = 132", "Divide both sides by 12: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = -3x + 132", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -3, \"d\": 132, \"x\": 11}", "seed": "15682354416768084667", "semantic_fingerprint": "sha256:f3817462141a6ba10df3b3117002ecdab65d4c56956af85c424bf01fea3dfd01", "generator_version": "3.0"}
{"id": "v3_val_00002015", "prompt": "What value of x satisfies x - 762 = 9(x - 74)?", "solution_steps": ["Expand: x - 762 = 9x - 666", "Subtract 9x from both sides: -8x - 762 = -666", "Add 762 to both sides: -8x = 96", "Divide both sides by -8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 762 = 9(x - 74)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 74, \"d\": -762, \"x\": -12}", "seed": "896321152183376740", "semantic_fingerprint": "sha256:232468742e8349bfed42b508f2dac41d04d180cbe9a4d37519bb3978d6d1fb81", "generator_version": "3.0"}
{"id": "v3_val_00002016", "prompt": "What is 82 - 88?", "solution_steps": ["Subtract: 82 - 88 = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "82 - 88", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 88}", "seed": "7886444689827240637", "semantic_fingerprint": "sha256:a3a6e104286656ee9bb91d7ccfe9c2913eeeb8255f07b98d7a958e1ada417dcd", "generator_version": "3.0"}
{"id": "v3_val_00002017", "prompt": "Calculate: 6 / (-9) - 50", "solution_steps": ["Divide: 6 / (-9) = -2/3", "Subtract: -2/3 - 50 = -152/3"], "final_answer": "-152/3", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-9) - 50", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -9, \"c\": 50}", "seed": "11652505915058578433", "semantic_fingerprint": "sha256:274dcec524604fe951b16cd54936aaa6dfcf70a04a8bec3eac3e5cc5cfc0ebcf", "generator_version": "3.0"}
{"id": "v3_val_00002018", "prompt": "Find x: x + 2 = 5x + 18", "solution_steps": ["Subtract 5x from both sides: -4x + 2 = 18", "Subtract 2 from both sides: -4x = 16", "Divide both sides by -4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2 = 5x + 18", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"d\": 18, \"x\": -4}", "seed": "8879662382771346117", "semantic_fingerprint": "sha256:ca72a24f750abaecef43edab05a30e59263484a6d3a3d544be3cec385bb4743a", "generator_version": "3.0"}
{"id": "v3_val_00002019", "prompt": "Evaluate: 9 - (-7) + (-51 + (-30)) / 8", "solution_steps": ["Subtract: 9 - (-7) = 16", "Add: -51 + (-30) = -81", "Divide: -81 / 8 = -81/8", "Add: 16 + (-81/8) = 47/8"], "final_answer": "47/8", "answer_type": "rational", "kind": "expression", "math_text": "9 - (-7) + (-51 + (-30)) / 8", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -7, \"c\": -51, \"d\": -30, \"e\": 8}", "seed": "13638794528716535481", "semantic_fingerprint": "sha256:528876026a37a92a97d0af5bff513f0e2c4c072a11554b2fb7d221d26861f158", "generator_version": "3.0"}
{"id": "v3_val_00002020", "prompt": "Calculate: -935 / ((-5 + (-21)) * 4)", "solution_steps": ["Add: -5 + (-21) = -26", "Multiply: -26 * 4 = -104", "Divide: -935 / (-104) = 935/104"], "final_answer": "935/104", "answer_type": "rational", "kind": "expression", "math_text": "-935 / ((-5 + (-21)) * 4)", "variable": null, "family": "expression_3op", "shape": "(/ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -935, \"b\": -5, \"c\": -21, \"d\": 4}", "seed": "7758268710591805502", "semantic_fingerprint": "sha256:7162b4cea32364b9e2dcb5c8c6ac72ca529e8f3d237316ce71265d1cbefc2e98", "generator_version": "3.0"}
{"id": "v3_val_00002021", "prompt": "Compute: 914 / (-60 / 287)", "solution_steps": ["Divide: -60 / 287 = -60/287", "Divide: 914 / (-60/287) = -131159/30"], "final_answer": "-131159/30", "answer_type": "rational", "kind": "expression", "math_text": "914 / (-60 / 287)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 914, \"b\": -60, \"c\": 287}", "seed": "16002650558029866058", "semantic_fingerprint": "sha256:24ca7056dae730d41f9ebc5b290e27aeb1083ba1f11e237adf70e9381f53be16", "generator_version": "3.0"}
{"id": "v3_val_00002022", "prompt": "Find x: x + 3 = 8x - 4", "solution_steps": ["Subtract 8x from both sides: -7x + 3 = -4", "Subtract 3 from both sides: -7x = -7", "Divide both sides by -7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = 8x - 4", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"d\": -4, \"x\": 1}", "seed": "14725235360285902561", "semantic_fingerprint": "sha256:dbc813f1e72e0042589855e7893280e53ed8f1099d5c13d821d9e5a45578435e", "generator_version": "3.0"}
{"id": "v3_val_00002023", "prompt": "Compute: -220 + 157 / 57", "solution_steps": ["Divide: 157 / 57 = 157/57", "Add: -220 + 157/57 = -12383/57"], "final_answer": "-12383/57", "answer_type": "rational", "kind": "expression", "math_text": "-220 + 157 / 57", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -220, \"b\": 157, \"c\": 57}", "seed": "9125843813812966240", "semantic_fingerprint": "sha256:f36f9ee6ed6db769af8abf32f18321c149dc655f56f24c90f8a7c3868f5b1a4e", "generator_version": "3.0"}
{"id": "v3_val_00002024", "prompt": "Compute: -5 * (-79 - (9 + (-1))) * (-720)", "solution_steps": ["Add: 9 + (-1) = 8", "Subtract: -79 - 8 = -87", "Multiply: -5 * (-87) = 435", "Multiply: 435 * (-720) = -313200"], "final_answer": "-313200", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-79 - (9 + (-1))) * (-720)", "variable": null, "family": "expression_4op", "shape": "(* (* n (- n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -79, \"c\": 9, \"d\": -1, \"e\": -720}", "seed": "249214745953889979", "semantic_fingerprint": "sha256:2a9e10a48cbd095d89c6bb0fe568e8f978eb241625247f4234b17b184051c1b8", "generator_version": "3.0"}
{"id": "v3_val_00002025", "prompt": "Calculate: -232 * 30 + (-95)", "solution_steps": ["Multiply: -232 * 30 = -6960", "Add: -6960 + (-95) = -7055"], "final_answer": "-7055", "answer_type": "integer", "kind": "expression", "math_text": "-232 * 30 + (-95)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -232, \"b\": 30, \"c\": -95}", "seed": "3115938891650574690", "semantic_fingerprint": "sha256:198c330015fa87b8b7907f608ecbec6cc3226543e481fc925a2c882d595b4fae", "generator_version": "3.0"}
{"id": "v3_val_00002026", "prompt": "Evaluate: 15 - 90 - 83 * (-6) * (-8 + (-9))", "solution_steps": ["Subtract: 15 - 90 = -75", "Multiply: 83 * (-6) = -498", "Add: -8 + (-9) = -17", "Multiply: -498 * (-17) = 8466", "Subtract: -75 - 8466 = -8541"], "final_answer": "-8541", "answer_type": "integer", "kind": "expression", "math_text": "15 - 90 - 83 * (-6) * (-8 + (-9))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 90, \"c\": 83, \"d\": -6, \"e\": -8, \"f\": -9}", "seed": "12834471754531529998", "semantic_fingerprint": "sha256:bcf432e5a0591a11e915e18e8778468499dd7a7f762da7f824fbcb1d223d61bc", "generator_version": "3.0"}
{"id": "v3_val_00002027", "prompt": "Calculate: 0 / 53 + (94 + (-74))", "solution_steps": ["Divide: 0 / 53 = 0", "Add: 94 + (-74) = 20", "Add: 0 + 20 = 20"], "final_answer": "20", "answer_type": "integer", "kind": "expression", "math_text": "0 / 53 + (94 + (-74))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 53, \"c\": 94, \"d\": -74}", "seed": "11345664361483384068", "semantic_fingerprint": "sha256:fdcf5467b319f6248c685d1ae90a29dc9f4e674d848505e2ed699a6fb1bfa4f9", "generator_version": "3.0"}
{"id": "v3_val_00002028", "prompt": "What is 42 + (-68)?", "solution_steps": ["Add: 42 + (-68) = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "expression", "math_text": "42 + (-68)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -68}", "seed": "6628486873539778673", "semantic_fingerprint": "sha256:3cb5659d03e644dea0a6021a5786ba4419e396de603e76315f83b5e32427b27b", "generator_version": "3.0"}
{"id": "v3_val_00002029", "prompt": "What is 677 / (-79) * 6 + (-5 + 8 / 122)?", "solution_steps": ["Divide: 677 / (-79) = -677/79", "Multiply: (-677/79) * 6 = -4062/79", "Divide: 8 / 122 = 4/61", "Add: -5 + 4/61 = -301/61", "Add: -4062/79 + (-301/61) = -271561/4819"], "final_answer": "-271561/4819", "answer_type": "rational", "kind": "expression", "math_text": "677 / (-79) * 6 + (-5 + 8 / 122)", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n n) n) (+ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 677, \"b\": -79, \"c\": 6, \"d\": -5, \"e\": 8, \"f\": 122}", "seed": "16458232943112802778", "semantic_fingerprint": "sha256:a11745ccb0a03160713b4601a2c917f3439f12705639bbb813d283926f0b0c49", "generator_version": "3.0"}
{"id": "v3_val_00002030", "prompt": "Compute: 10 + (-912) - 429 * (-37)", "solution_steps": ["Add: 10 + (-912) = -902", "Multiply: 429 * (-37) = -15873", "Subtract: -902 - (-15873) = 14971"], "final_answer": "14971", "answer_type": "integer", "kind": "expression", "math_text": "10 + (-912) - 429 * (-37)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -912, \"c\": 429, \"d\": -37}", "seed": "14385310691429045452", "semantic_fingerprint": "sha256:7030c1333e416289631fb4c5daf32fa8876b1c08fcc41a6ef856d7a889451424", "generator_version": "3.0"}
{"id": "v3_val_00002031", "prompt": "Calculate: -654 / (-154) + 447", "solution_steps": ["Divide: -654 / (-154) = 327/77", "Add: 327/77 + 447 = 34746/77"], "final_answer": "34746/77", "answer_type": "rational", "kind": "expression", "math_text": "-654 / (-154) + 447", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -654, \"b\": -154, \"c\": 447}", "seed": "1461160114071367410", "semantic_fingerprint": "sha256:098e2190ff1dc8943b2c9e0ac6d81de451795bd05ef072c049ffd33b57ff8524", "generator_version": "3.0"}
{"id": "v3_val_00002032", "prompt": "Find x: 12x - 23 = 4x + 25", "solution_steps": ["Subtract 4x from both sides: 8x - 23 = 25", "Add 23 to both sides: 8x = 48", "Divide both sides by 8: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 23 = 4x + 25", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 23, \"c\": 4, \"e\": 25, \"x\": 6}", "seed": "183644670234848310", "semantic_fingerprint": "sha256:25f9cbffb4b687e66b9754de80a887b2574b8ba722f03dc27d108bb9c1ab47f3", "generator_version": "3.0"}
{"id": "v3_val_00002033", "prompt": "Compute: (63 * 2 - (-6)) * (-324 + 0 - 20)", "solution_steps": ["Multiply: 63 * 2 = 126", "Subtract: 126 - (-6) = 132", "Add: -324 + 0 = -324", "Subtract: -324 - 20 = -344", "Multiply: 132 * (-344) = -45408"], "final_answer": "-45408", "answer_type": "integer", "kind": "expression", "math_text": "(63 * 2 - (-6)) * (-324 + 0 - 20)", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 2, \"c\": -6, \"d\": -324, \"e\": 0, \"f\": 20}", "seed": "1298823879115757670", "semantic_fingerprint": "sha256:f8fdea8caea24a5f319c951504bef6e0fd27df4c04421bcd50083a586df08a17", "generator_version": "3.0"}
{"id": "v3_val_00002034", "prompt": "Calculate: -57 + 6 * 38", "solution_steps": ["Multiply: 6 * 38 = 228", "Add: -57 + 228 = 171"], "final_answer": "171", "answer_type": "integer", "kind": "expression", "math_text": "-57 + 6 * 38", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 6, \"c\": 38}", "seed": "9362386060224780488", "semantic_fingerprint": "sha256:ee43ce213fc9ec5ec37e757bd8c4e03315c39b69770abb50fd659bd0814b9868", "generator_version": "3.0"}
{"id": "v3_val_00002035", "prompt": "Find x: x - 4 = 16", "solution_steps": ["Add 4 to both sides: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = 16", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 16}", "seed": "14849328320022889606", "semantic_fingerprint": "sha256:965dd97de46958fcf57e9447ebe09e25d8d49de412013c51514428cf4f903beb", "generator_version": "3.0"}
{"id": "v3_val_00002036", "prompt": "Evaluate: 5 / (-984 - (-59)) * (84 / (-9))", "solution_steps": ["Subtract: -984 - (-59) = -925", "Divide: 5 / (-925) = -1/185", "Divide: 84 / (-9) = -28/3", "Multiply: (-1/185) * (-28/3) = 28/555"], "final_answer": "28/555", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-984 - (-59)) * (84 / (-9))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -984, \"c\": -59, \"d\": 84, \"e\": -9}", "seed": "15584469989061932116", "semantic_fingerprint": "sha256:3182973070f43811b4d273afd7660a58f611b24aa5e7c18fe96c2449fa70d351", "generator_version": "3.0"}
{"id": "v3_val_00002037", "prompt": "Calculate: -8 * 743", "solution_steps": ["Multiply: -8 * 743 = -5944"], "final_answer": "-5944", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 743", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 743}", "seed": "1535435405809411033", "semantic_fingerprint": "sha256:abf6572756c4193df00df27569302eac4ee0f44d78089691d7439e3c2996baac", "generator_version": "3.0"}
{"id": "v3_val_00002038", "prompt": "What is -94 * 4 + (-43 + (-91)) * (106 - 0)?", "solution_steps": ["Multiply: -94 * 4 = -376", "Add: -43 + (-91) = -134", "Subtract: 106 - 0 = 106", "Multiply: -134 * 106 = -14204", "Add: -376 + (-14204) = -14580"], "final_answer": "-14580", "answer_type": "integer", "kind": "expression", "math_text": "-94 * 4 + (-43 + (-91)) * (106 - 0)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 4, \"c\": -43, \"d\": -91, \"e\": 106, \"f\": 0}", "seed": "2869882774413619243", "semantic_fingerprint": "sha256:caf1fb98d4cd307c47aeab37eb45ba8f042130c8de3e32536f9cc42ba82b24e7", "generator_version": "3.0"}
{"id": "v3_val_00002039", "prompt": "What value of x satisfies -10x = 7(x - 9) + 12?", "solution_steps": ["Expand: -10x = 7x - 63 + 12", "Combine constants: -10x = 7x - 51", "Subtract 7x from both sides: -17x = -51", "Divide both sides by -17: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = 7(x - 9) + 12", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 9, \"e\": 12, \"x\": 3}", "seed": "8352802333769722343", "semantic_fingerprint": "sha256:9d0ae32dfd534409b884e93a4d220bf27d3e1ffa81c0651190f48e9b647ca5e8", "generator_version": "3.0"}
{"id": "v3_val_00002040", "prompt": "What is 550 + (-860) * (-344)?", "solution_steps": ["Multiply: -860 * (-344) = 295840", "Add: 550 + 295840 = 296390"], "final_answer": "296390", "answer_type": "integer", "kind": "expression", "math_text": "550 + (-860) * (-344)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 550, \"b\": -860, \"c\": -344}", "seed": "16771607465682560059", "semantic_fingerprint": "sha256:ce0d2a3725678904c1f5fab4fb9562f8e9203d354c819a3ff5e220642141351c", "generator_version": "3.0"}
{"id": "v3_val_00002041", "prompt": "What value of x satisfies 3(x - 860) + 60 = 8(x + 97) + 22?", "solution_steps": ["Expand: 3x - 2580 + 60 = 8(x + 97) + 22", "Expand: 3x - 2580 + 60 = 8x + 776 + 22", "Combine constants: 3x - 2520 = 8x + 776 + 22", "Combine constants: 3x - 2520 = 8x + 798", "Subtract 8x from both sides: -5x - 2520 = 798", "Add 2520 to both sides: -5x = 3318", "Divide both sides by -5: x = -3318/5"], "final_answer": "-3318/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 860) + 60 = 8(x + 97) + 22", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 860, \"c\": 60, \"d\": 8, \"e\": 97, \"f\": 22}", "seed": "7435892356250870599", "semantic_fingerprint": "sha256:fa8d6bfe2283cc50ac6a1bcc6914d7987eea00cf2b1c8aa672391dad12d8f982", "generator_version": "3.0"}
{"id": "v3_val_00002042", "prompt": "Compute: 0 - 2 / (-85)", "solution_steps": ["Divide: 2 / (-85) = -2/85", "Subtract: 0 - (-2/85) = 2/85"], "final_answer": "2/85", "answer_type": "rational", "kind": "expression", "math_text": "0 - 2 / (-85)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 2, \"c\": -85}", "seed": "17609265828481053681", "semantic_fingerprint": "sha256:e5565dda0089d5a428f4c4a3f6c171d2d67e65006d19ccd986e2897544dec159", "generator_version": "3.0"}
{"id": "v3_val_00002043", "prompt": "What is 135 + (344 + 251)?", "solution_steps": ["Add: 344 + 251 = 595", "Add: 135 + 595 = 730"], "final_answer": "730", "answer_type": "integer", "kind": "expression", "math_text": "135 + (344 + 251)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 135, \"b\": 344, \"c\": 251}", "seed": "13918545640179846828", "semantic_fingerprint": "sha256:b523d3eca95d544759e926fb1506e44f78befe387db130d0fbf937cde1e5195b", "generator_version": "3.0"}
{"id": "v3_val_00002044", "prompt": "Evaluate: 63 - (-4 + 0) / (9 + (-75))", "solution_steps": ["Add: -4 + 0 = -4", "Add: 9 + (-75) = -66", "Divide: -4 / (-66) = 2/33", "Subtract: 63 - 2/33 = 2077/33"], "final_answer": "2077/33", "answer_type": "rational", "kind": "expression", "math_text": "63 - (-4 + 0) / (9 + (-75))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -4, \"c\": 0, \"d\": 9, \"e\": -75}", "seed": "18225777356941497161", "semantic_fingerprint": "sha256:1e05d8b29b82bd5995e0a21db9371cee331dac5867b1356cec4c0e491c23435a", "generator_version": "3.0"}
{"id": "v3_val_00002045", "prompt": "Solve for x: 9(x - 22) + 9 = x - 349", "solution_steps": ["Expand: 9x - 198 + 9 = x - 349", "Combine constants: 9x - 189 = x - 349", "Subtract x from both sides: 8x - 189 = -349", "Add 189 to both sides: 8x = -160", "Divide both sides by 8: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 22) + 9 = x - 349", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 22, \"c\": 9, \"e\": -349, \"x\": -20}", "seed": "2453937008483809716", "semantic_fingerprint": "sha256:a4caef2cb34fd27a0605b45e82b6f5b3568b17841d7bc750c8a71951c0d6dc8b", "generator_version": "3.0"}
{"id": "v3_val_00002046", "prompt": "What value of x satisfies -2(x + 430) = 6x?", "solution_steps": ["Expand: -2x - 860 = 6x", "Subtract 6x from both sides: -8x - 860 = 0", "Add 860 to both sides: -8x = 860", "Divide both sides by -8: x = -215/2"], "final_answer": "-215/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 430) = 6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 430, \"c\": 6}", "seed": "17974799350936770503", "semantic_fingerprint": "sha256:213a09c6f949a8668dd2ab3351b655bf8d6ffc360cc0b5656e9f270e70ecca04", "generator_version": "3.0"}
{"id": "v3_val_00002047", "prompt": "Compute: -3 + (-443)", "solution_steps": ["Add: -3 + (-443) = -446"], "final_answer": "-446", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-443)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -443}", "seed": "10360520626339963220", "semantic_fingerprint": "sha256:dd6aff844715d8fa57cd05e218810a18fb27afdfa77c51b47dd47da769a00fb3", "generator_version": "3.0"}
{"id": "v3_val_00002048", "prompt": "What is 912 / 9?", "solution_steps": ["Divide: 912 / 9 = 304/3"], "final_answer": "304/3", "answer_type": "rational", "kind": "expression", "math_text": "912 / 9", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 912, \"b\": 9}", "seed": "5207580752460683225", "semantic_fingerprint": "sha256:efecb7024fe9b12e70b1538e152441b8aa5aa63650bca16079af10ce9799de3c", "generator_version": "3.0"}
{"id": "v3_val_00002049", "prompt": "Calculate: 0 + 9 + (-711)", "solution_steps": ["Add: 0 + 9 = 9", "Add: 9 + (-711) = -702"], "final_answer": "-702", "answer_type": "integer", "kind": "expression", "math_text": "0 + 9 + (-711)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9, \"c\": -711}", "seed": "3126330345291062082", "semantic_fingerprint": "sha256:23e6595188db678223322758e9c0cfbdcbc8f64e1e276a68efc6d83931425e64", "generator_version": "3.0"}
{"id": "v3_val_00002050", "prompt": "Solve for x: 7x + 5 = -542", "solution_steps": ["Subtract 5 from both sides: 7x = -547", "Divide both sides by 7: x = -547/7"], "final_answer": "-547/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 5 = -542", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": -542}", "seed": "5961319729910910595", "semantic_fingerprint": "sha256:06657cf8acc7a13fff62fca1b30dbbdb981cfd4c1d5dc9e69e9ec3fe67042bbd", "generator_version": "3.0"}
{"id": "v3_val_00002051", "prompt": "What is 0 - 64 / ((56 * 26 - (-72)) / 48)?", "solution_steps": ["Multiply: 56 * 26 = 1456", "Subtract: 1456 - (-72) = 1528", "Divide: 1528 / 48 = 191/6", "Divide: 64 / (191/6) = 384/191", "Subtract: 0 - 384/191 = -384/191"], "final_answer": "-384/191", "answer_type": "rational", "kind": "expression", "math_text": "0 - 64 / ((56 * 26 - (-72)) / 48)", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (/ (- (* n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 64, \"c\": 56, \"d\": 26, \"e\": -72, \"f\": 48}", "seed": "1931006678962153678", "semantic_fingerprint": "sha256:7bd3aa74177a55a7dde1cd0a043fb632af9533cd80b79739dbc5e30f460955b1", "generator_version": "3.0"}
{"id": "v3_val_00002052", "prompt": "Compute: 868 / 16", "solution_steps": ["Divide: 868 / 16 = 217/4"], "final_answer": "217/4", "answer_type": "rational", "kind": "expression", "math_text": "868 / 16", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 868, \"b\": 16}", "seed": "5708408433237354564", "semantic_fingerprint": "sha256:8bc5bd71c4979fa778cf31ef91910da07381bea5b7491edc860fc4efdcd1e9a4", "generator_version": "3.0"}
{"id": "v3_val_00002053", "prompt": "Compute: -56 * (-6 / (-73))", "solution_steps": ["Divide: -6 / (-73) = 6/73", "Multiply: -56 * (6/73) = -336/73"], "final_answer": "-336/73", "answer_type": "rational", "kind": "expression", "math_text": "-56 * (-6 / (-73))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -6, \"c\": -73}", "seed": "9722336688027990500", "semantic_fingerprint": "sha256:6fe61d6529f8ec00ab8402c148ce66e7bcf4fbc1004c7db28ea3430b6beeee59", "generator_version": "3.0"}
{"id": "v3_val_00002054", "prompt": "Evaluate: 91 * (-1) / (-47 + 529 * 1)", "solution_steps": ["Multiply: 91 * (-1) = -91", "Multiply: 529 * 1 = 529", "Add: -47 + 529 = 482", "Divide: -91 / 482 = -91/482"], "final_answer": "-91/482", "answer_type": "rational", "kind": "expression", "math_text": "91 * (-1) / (-47 + 529 * 1)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -1, \"c\": -47, \"d\": 529, \"e\": 1}", "seed": "1535683898016502586", "semantic_fingerprint": "sha256:ae6b674e6edb4a59971940040fd5ebfffcbb0856f97ca840e22b029fff2cb517", "generator_version": "3.0"}
{"id": "v3_val_00002055", "prompt": "Solve for x: -5x - 36 = x", "solution_steps": ["Subtract x from both sides: -6x - 36 = 0", "Add 36 to both sides: -6x = 36", "Divide both sides by -6: x = -6"], "final_answer": "-6", "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\": -6}", "seed": "18392347201992330210", "semantic_fingerprint": "sha256:4c9ad0a9390e64c2e697d22394f38a9955ff32469b07c3b8e797bee58955a328", "generator_version": "3.0"}
{"id": "v3_val_00002056", "prompt": "Solve the equation 6(x + 6) = x + 126 for x.", "solution_steps": ["Expand: 6x + 36 = x + 126", "Subtract x from both sides: 5x + 36 = 126", "Subtract 36 from both sides: 5x = 90", "Divide both sides by 5: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 6) = x + 126", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"d\": 126, \"x\": 18}", "seed": "7398916410908129883", "semantic_fingerprint": "sha256:ede4744da0a79bb2504c13fe3e99981d751e81fc89677143808619fd45d02d8b", "generator_version": "3.0"}
{"id": "v3_val_00002057", "prompt": "Find x: -5(x + 51) + 13 = 6(x - 8) - 337", "solution_steps": ["Expand: -5x - 255 + 13 = 6(x - 8) - 337", "Expand: -5x - 255 + 13 = 6x - 48 - 337", "Combine constants: -5x - 242 = 6x - 48 - 337", "Combine constants: -5x - 242 = 6x - 385", "Subtract 6x from both sides: -11x - 242 = -385", "Add 242 to both sides: -11x = -143", "Divide both sides by -11: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 51) + 13 = 6(x - 8) - 337", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 51, \"c\": 13, \"d\": 6, \"e\": 8, \"g\": -337, \"x\": 13}", "seed": "8611965004142707131", "semantic_fingerprint": "sha256:079482ea0e3cdd520e35d2c203633ff6551794caf32eedf63994c3364b7a4e1e", "generator_version": "3.0"}
{"id": "v3_val_00002058", "prompt": "Compute: 28 / 7 / (-805) * (-4) + (-761)", "solution_steps": ["Divide: 28 / 7 = 4", "Divide: 4 / (-805) = -4/805", "Multiply: (-4/805) * (-4) = 16/805", "Add: 16/805 + (-761) = -612589/805"], "final_answer": "-612589/805", "answer_type": "rational", "kind": "expression", "math_text": "28 / 7 / (-805) * (-4) + (-761)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 7, \"c\": -805, \"d\": -4, \"e\": -761}", "seed": "13868647934872708466", "semantic_fingerprint": "sha256:fb13dd22edb4890054b8912f836d6c1e51e2fc17570c559832134456075ad910", "generator_version": "3.0"}
{"id": "v3_val_00002059", "prompt": "Compute: -72 / (-960 * 15)", "solution_steps": ["Multiply: -960 * 15 = -14400", "Divide: -72 / (-14400) = 1/200"], "final_answer": "1/200", "answer_type": "rational", "kind": "expression", "math_text": "-72 / (-960 * 15)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -960, \"c\": 15}", "seed": "15561181890946287769", "semantic_fingerprint": "sha256:df435049f26de59f4db28911e9bcf4dbd8925194fad74f0cd78a5e4972002e26", "generator_version": "3.0"}
{"id": "v3_val_00002060", "prompt": "What value of x satisfies 2x - 14 = x?", "solution_steps": ["Subtract x from both sides: x - 14 = 0", "Add 14 to both sides: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 14 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"c\": -14, \"x\": 14}", "seed": "9211022444179197974", "semantic_fingerprint": "sha256:691df92e0bde4e0dfd4874d7806a65f040ccc2428bf8edb5d4826b9ac33d47a5", "generator_version": "3.0"}
{"id": "v3_val_00002061", "prompt": "Calculate: (15 - 0) / (9 / (-43 - (-43 + (-91))))", "solution_steps": ["Subtract: 15 - 0 = 15", "Add: -43 + (-91) = -134", "Subtract: -43 - (-134) = 91", "Divide: 9 / 91 = 9/91", "Divide: 15 / (9/91) = 455/3"], "final_answer": "455/3", "answer_type": "rational", "kind": "expression", "math_text": "(15 - 0) / (9 / (-43 - (-43 + (-91))))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ n (- n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 0, \"c\": 9, \"d\": -43, \"e\": -43, \"f\": -91}", "seed": "4260735503180959922", "semantic_fingerprint": "sha256:9a245658ca6773990ca786d4420c86d14f3eeabd30858192ca1e6f395c5ae58b", "generator_version": "3.0"}
{"id": "v3_val_00002062", "prompt": "What value of x satisfies 7(x - 7) + 355 = -6(x + 7) + 114?", "solution_steps": ["Expand: 7x - 49 + 355 = -6(x + 7) + 114", "Expand: 7x - 49 + 355 = -6x - 42 + 114", "Combine constants: 7x + 306 = -6x - 42 + 114", "Combine constants: 7x + 306 = -6x + 72", "Add 6x to both sides: 13x + 306 = 72", "Subtract 306 from both sides: 13x = -234", "Divide both sides by 13: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 7) + 355 = -6(x + 7) + 114", "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\": 355, \"d\": -6, \"e\": 7, \"g\": 114, \"x\": -18}", "seed": "10620694897508062139", "semantic_fingerprint": "sha256:0ff9f12d3b89238ba990a4ebcf2fec1791fe7561632563d2395372a212c8056d", "generator_version": "3.0"}
{"id": "v3_val_00002063", "prompt": "Solve the equation 2(x - 38) = -9(x + 3) + 149 for x.", "solution_steps": ["Expand: 2x - 76 = -9(x + 3) + 149", "Expand: 2x - 76 = -9x - 27 + 149", "Combine constants: 2x - 76 = -9x + 122", "Add 9x to both sides: 11x - 76 = 122", "Add 76 to both sides: 11x = 198", "Divide both sides by 11: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 38) = -9(x + 3) + 149", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 38, \"c\": -9, \"d\": 3, \"f\": 149, \"x\": 18}", "seed": "17445500820629645976", "semantic_fingerprint": "sha256:ff3b0bfdf48c0d5870085da538d994332540acaf8cf1e3018ff586cc461cda41", "generator_version": "3.0"}
{"id": "v3_val_00002064", "prompt": "Compute: 6 * ((2 - 1) * 6 / (-21))", "solution_steps": ["Subtract: 2 - 1 = 1", "Multiply: 1 * 6 = 6", "Divide: 6 / (-21) = -2/7", "Multiply: 6 * (-2/7) = -12/7"], "final_answer": "-12/7", "answer_type": "rational", "kind": "expression", "math_text": "6 * ((2 - 1) * 6 / (-21))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 1, \"d\": 6, \"e\": -21}", "seed": "6483333701171629093", "semantic_fingerprint": "sha256:71559a90d29c9113b340af21049a7aafaeb0746fcbeb61c198662d5e8063f422", "generator_version": "3.0"}
{"id": "v3_val_00002065", "prompt": "What is 9 * (-8) * (66 + (-54)) * 12?", "solution_steps": ["Multiply: 9 * (-8) = -72", "Add: 66 + (-54) = 12", "Multiply: -72 * 12 = -864", "Multiply: -864 * 12 = -10368"], "final_answer": "-10368", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-8) * (66 + (-54)) * 12", "variable": null, "family": "expression_4op", "shape": "(* (* (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": 66, \"d\": -54, \"e\": 12}", "seed": "14936300609286219826", "semantic_fingerprint": "sha256:e4ee9d96877a8857df09bf0c052e4cb72addbf8ef19ef38c211d95e1a81c1de9", "generator_version": "3.0"}
{"id": "v3_val_00002066", "prompt": "What is -9 / (-29 - 41)?", "solution_steps": ["Subtract: -29 - 41 = -70", "Divide: -9 / (-70) = 9/70"], "final_answer": "9/70", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-29 - 41)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -29, \"c\": 41}", "seed": "6758189015207479386", "semantic_fingerprint": "sha256:1dc200aa8ea652eef1103228cd64b62aaa7074b0c113e1520bca64e415d45bae", "generator_version": "3.0"}
{"id": "v3_val_00002067", "prompt": "What is (93 + 6) * 0 / (16 + (-2))?", "solution_steps": ["Add: 93 + 6 = 99", "Multiply: 99 * 0 = 0", "Add: 16 + (-2) = 14", "Divide: 0 / 14 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(93 + 6) * 0 / (16 + (-2))", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 6, \"c\": 0, \"d\": 16, \"e\": -2}", "seed": "599950046500547953", "semantic_fingerprint": "sha256:40a0480ac5d7388858caca77006288d56efb6cdd4f8334806ace3f5ee3738ef5", "generator_version": "3.0"}
{"id": "v3_val_00002068", "prompt": "What value of x satisfies x - 71 = -2(x - 27) - 110?", "solution_steps": ["Expand: x - 71 = -2x + 54 - 110", "Combine constants: x - 71 = -2x - 56", "Add 2x to both sides: 3x - 71 = -56", "Add 71 to both sides: 3x = 15", "Divide both sides by 3: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 71 = -2(x - 27) - 110", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -2, \"c\": 27, \"e\": -110, \"x\": 5}", "seed": "8971785014091859227", "semantic_fingerprint": "sha256:903ca76016979319902986a8a2af415d36fee47e85501f8e2eace53b81b7e361", "generator_version": "3.0"}
{"id": "v3_val_00002069", "prompt": "What is 32 * (9 / (-177 + (-27 - (-29))))?", "solution_steps": ["Subtract: -27 - (-29) = 2", "Add: -177 + 2 = -175", "Divide: 9 / (-175) = -9/175", "Multiply: 32 * (-9/175) = -288/175"], "final_answer": "-288/175", "answer_type": "rational", "kind": "expression", "math_text": "32 * (9 / (-177 + (-27 - (-29))))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (+ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 9, \"c\": -177, \"d\": -27, \"e\": -29}", "seed": "15452229352039896255", "semantic_fingerprint": "sha256:92fe58bb52757fee6bce4dc7ce0e469e99ab811fdb2a21956e53e0cfdc64b8d6", "generator_version": "3.0"}
{"id": "v3_val_00002070", "prompt": "What value of x satisfies 6(x - 6) = 11(x + 34) - 340?", "solution_steps": ["Expand: 6x - 36 = 11(x + 34) - 340", "Expand: 6x - 36 = 11x + 374 - 340", "Combine constants: 6x - 36 = 11x + 34", "Subtract 11x from both sides: -5x - 36 = 34", "Add 36 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 - 6) = 11(x + 34) - 340", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 11, \"d\": 34, \"f\": -340, \"x\": -14}", "seed": "329680933216687269", "semantic_fingerprint": "sha256:f584e46808d16446d581b0d4495a3ad351ec45fa27e0ed6f92cd4926c01cffa1", "generator_version": "3.0"}
{"id": "v3_val_00002071", "prompt": "What is (4 + 6) * (-37)?", "solution_steps": ["Add: 4 + 6 = 10", "Multiply: 10 * (-37) = -370"], "final_answer": "-370", "answer_type": "integer", "kind": "expression", "math_text": "(4 + 6) * (-37)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": -37}", "seed": "1809971132317538398", "semantic_fingerprint": "sha256:cebc9535261519aef7a7eba83a4d13b0b2156cd111ccc157ba943fcecfee0686", "generator_version": "3.0"}
{"id": "v3_val_00002072", "prompt": "What is 664 + (-7 + 1) * 867?", "solution_steps": ["Add: -7 + 1 = -6", "Multiply: -6 * 867 = -5202", "Add: 664 + (-5202) = -4538"], "final_answer": "-4538", "answer_type": "integer", "kind": "expression", "math_text": "664 + (-7 + 1) * 867", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 664, \"b\": -7, \"c\": 1, \"d\": 867}", "seed": "11070917397622805140", "semantic_fingerprint": "sha256:cf2f7dbd50507fff0af3d0ee154395c6a85e9260cb765666200cbe28fa35c8b9", "generator_version": "3.0"}
{"id": "v3_val_00002073", "prompt": "What value of x satisfies 5(x - 67) = 9(x - 1) - 188?", "solution_steps": ["Expand: 5x - 335 = 9(x - 1) - 188", "Expand: 5x - 335 = 9x - 9 - 188", "Combine constants: 5x - 335 = 9x - 197", "Subtract 9x from both sides: -4x - 335 = -197", "Add 335 to both sides: -4x = 138", "Divide both sides by -4: x = -69/2"], "final_answer": "-69/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 67) = 9(x - 1) - 188", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 67, \"c\": 9, \"d\": 1, \"e\": 188}", "seed": "14620375714102214234", "semantic_fingerprint": "sha256:f53e1f501c5674f4c983fd08f403af1209bf321aa2031bdf6c6568997c01612a", "generator_version": "3.0"}
{"id": "v3_val_00002074", "prompt": "What is 9 - (962 - 75)?", "solution_steps": ["Subtract: 962 - 75 = 887", "Subtract: 9 - 887 = -878"], "final_answer": "-878", "answer_type": "integer", "kind": "expression", "math_text": "9 - (962 - 75)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 962, \"c\": 75}", "seed": "10253841691202734175", "semantic_fingerprint": "sha256:bb4ca3461a96a78747b86b1e2f917c8781e10d87c93bcf3a3d7f6ee0bd61d737", "generator_version": "3.0"}
{"id": "v3_val_00002075", "prompt": "Calculate: -1 / (-70 / (-11))", "solution_steps": ["Divide: -70 / (-11) = 70/11", "Divide: -1 / (70/11) = -11/70"], "final_answer": "-11/70", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-70 / (-11))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -70, \"c\": -11}", "seed": "2780058832415530422", "semantic_fingerprint": "sha256:b683d70f4efd7f11a4d79aec3181afda4cd23f936f778b98dfab668d67e5b5af", "generator_version": "3.0"}
{"id": "v3_val_00002076", "prompt": "Calculate: 8 + (0 + (-3)) * (-468 + 904)", "solution_steps": ["Add: 0 + (-3) = -3", "Add: -468 + 904 = 436", "Multiply: -3 * 436 = -1308", "Add: 8 + (-1308) = -1300"], "final_answer": "-1300", "answer_type": "integer", "kind": "expression", "math_text": "8 + (0 + (-3)) * (-468 + 904)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 0, \"c\": -3, \"d\": -468, \"e\": 904}", "seed": "7162368374620919641", "semantic_fingerprint": "sha256:f224ff0a1ae814c093377951e7565410bfef622d9a4c9ac5fa4cf0641ec5f5e7", "generator_version": "3.0"}
{"id": "v3_val_00002077", "prompt": "What is -99 - (975 + 3)?", "solution_steps": ["Add: 975 + 3 = 978", "Subtract: -99 - 978 = -1077"], "final_answer": "-1077", "answer_type": "integer", "kind": "expression", "math_text": "-99 - (975 + 3)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 975, \"c\": 3}", "seed": "11998534358083728677", "semantic_fingerprint": "sha256:26a9a7326edb869e76e61fb96884c833650f7d448f1e3b6b9996e0bc2bf88cc6", "generator_version": "3.0"}
{"id": "v3_val_00002078", "prompt": "Evaluate: -229 + (555 * (-534) + (-7))", "solution_steps": ["Multiply: 555 * (-534) = -296370", "Add: -296370 + (-7) = -296377", "Add: -229 + (-296377) = -296606"], "final_answer": "-296606", "answer_type": "integer", "kind": "expression", "math_text": "-229 + (555 * (-534) + (-7))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -229, \"b\": 555, \"c\": -534, \"d\": -7}", "seed": "10252054995283435438", "semantic_fingerprint": "sha256:aa49c43f32267349d20650413707814c3e299506b7b554ceaba679d366a28e56", "generator_version": "3.0"}
{"id": "v3_val_00002079", "prompt": "Solve for x: 3(x - 850) = 10x", "solution_steps": ["Expand: 3x - 2550 = 10x", "Subtract 10x from both sides: -7x - 2550 = 0", "Add 2550 to both sides: -7x = 2550", "Divide both sides by -7: x = -2550/7"], "final_answer": "-2550/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 850) = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 850, \"c\": 10}", "seed": "14373416261482313338", "semantic_fingerprint": "sha256:9719141d225a61c3207d8259216a5e586877e63afae1dd16f8a282d520e5a66d", "generator_version": "3.0"}
{"id": "v3_val_00002080", "prompt": "Calculate: -17 / 61 - (-83)", "solution_steps": ["Divide: -17 / 61 = -17/61", "Subtract: -17/61 - (-83) = 5046/61"], "final_answer": "5046/61", "answer_type": "rational", "kind": "expression", "math_text": "-17 / 61 - (-83)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 61, \"c\": -83}", "seed": "7189287477367839761", "semantic_fingerprint": "sha256:b08c1f22fc9ec81dc8e15aa6393a87b9ba70d95f55a85462e355ed3ccb514e8a", "generator_version": "3.0"}
{"id": "v3_val_00002081", "prompt": "Solve for x: 11(x + 33) - 95 = 46", "solution_steps": ["Expand: 11x + 363 - 95 = 46", "Combine constants: 11x + 268 = 46", "Subtract 268 from both sides: 11x = -222", "Divide both sides by 11: x = -222/11"], "final_answer": "-222/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 33) - 95 = 46", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 33, \"c\": 95, \"d\": 46}", "seed": "10538385119893625248", "semantic_fingerprint": "sha256:513914bff7fb8aa70ecc452d281342afc05ae4b95d63b7f618dc842298d120f9", "generator_version": "3.0"}
{"id": "v3_val_00002082", "prompt": "What is 49 * (-55)?", "solution_steps": ["Multiply: 49 * (-55) = -2695"], "final_answer": "-2695", "answer_type": "integer", "kind": "expression", "math_text": "49 * (-55)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -55}", "seed": "10189721595460324044", "semantic_fingerprint": "sha256:fc78a7576d1157d86d939c0bfd1f2c92de13359291b07f20d6e6fd014f88f5aa", "generator_version": "3.0"}
{"id": "v3_val_00002083", "prompt": "Solve the equation -12x = -8(x + 24) for x.", "solution_steps": ["Expand: -12x = -8x - 192", "Add 8x to both sides: -4x = -192", "Divide both sides by -4: x = 48"], "final_answer": "48", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = -8(x + 24)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -8, \"c\": 24}", "seed": "1283437580872293371", "semantic_fingerprint": "sha256:8baa8569bfc959509705412f27f5e1760192dd36ed8d579200ec6621473b16fa", "generator_version": "3.0"}
{"id": "v3_val_00002084", "prompt": "Compute: 730 / (-4)", "solution_steps": ["Divide: 730 / (-4) = -365/2"], "final_answer": "-365/2", "answer_type": "rational", "kind": "expression", "math_text": "730 / (-4)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 730, \"b\": -4}", "seed": "13179707224510191769", "semantic_fingerprint": "sha256:b5c57a2c37505353619aedf1ae1076fd3d3c97bdd30bc3467f4289b3993f29cd", "generator_version": "3.0"}
{"id": "v3_val_00002085", "prompt": "Calculate: -819 - (-86)", "solution_steps": ["Subtract: -819 - (-86) = -733"], "final_answer": "-733", "answer_type": "integer", "kind": "expression", "math_text": "-819 - (-86)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -819, \"b\": -86}", "seed": "5852242166755615176", "semantic_fingerprint": "sha256:733499bec2bd5052374e42b0eea95c1a5e7d515d7ac876a5cb1ba26b4c8f63a3", "generator_version": "3.0"}
{"id": "v3_val_00002086", "prompt": "What is (-4 - 31 + 27) * (525 * 0)?", "solution_steps": ["Subtract: -4 - 31 = -35", "Add: -35 + 27 = -8", "Multiply: 525 * 0 = 0", "Multiply: -8 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - 31 + 27) * (525 * 0)", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 31, \"c\": 27, \"d\": 525, \"e\": 0}", "seed": "769321803260755533", "semantic_fingerprint": "sha256:3f51e55062cf8a785fe647ec9878685a552a6b5ecbd1ded1373978df8f688ad9", "generator_version": "3.0"}
{"id": "v3_val_00002087", "prompt": "Compute: -5 * (-9) - (-3 - 6)", "solution_steps": ["Multiply: -5 * (-9) = 45", "Subtract: -3 - 6 = -9", "Subtract: 45 - (-9) = 54"], "final_answer": "54", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-9) - (-3 - 6)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -9, \"c\": -3, \"d\": 6}", "seed": "3194958682818625456", "semantic_fingerprint": "sha256:85c8df3439ea7cecf870c8c3b5bca8d63647b81e64185fb9fbdc660d6fc8c8ce", "generator_version": "3.0"}
{"id": "v3_val_00002088", "prompt": "Solve for x: x = -6(x - 47) - 275", "solution_steps": ["Expand: x = -6x + 282 - 275", "Combine constants: x = -6x + 7", "Add 6x to both sides: 7x = 7", "Divide both sides by 7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -6(x - 47) - 275", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 47, \"d\": -275, \"x\": 1}", "seed": "5314435814107101061", "semantic_fingerprint": "sha256:d767385a0730f0841507386cc2ffb6fce14c9486ea1aacf17454f4c7cc990413", "generator_version": "3.0"}
{"id": "v3_val_00002089", "prompt": "Solve the equation -9(x - 8) + 30 = x - 18 for x.", "solution_steps": ["Expand: -9x + 72 + 30 = x - 18", "Combine constants: -9x + 102 = x - 18", "Subtract x from both sides: -10x + 102 = -18", "Subtract 102 from both sides: -10x = -120", "Divide both sides by -10: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 8) + 30 = x - 18", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 8, \"c\": 30, \"e\": -18, \"x\": 12}", "seed": "15319860431418263778", "semantic_fingerprint": "sha256:c9575e264b4ec0c4abf166b5148c4a8c2ab6d0161b21ae111435d434fa27e2fb", "generator_version": "3.0"}
{"id": "v3_val_00002090", "prompt": "What value of x satisfies 2(x - 8) = 11(x + 77)?", "solution_steps": ["Expand: 2x - 16 = 11(x + 77)", "Expand: 2x - 16 = 11x + 847", "Subtract 11x from both sides: -9x - 16 = 847", "Add 16 to both sides: -9x = 863", "Divide both sides by -9: x = -863/9"], "final_answer": "-863/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 8) = 11(x + 77)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 11, \"d\": 77}", "seed": "15778023327631768322", "semantic_fingerprint": "sha256:9e66f7b0d40e2c5a5d614b9546ab1759fcd346a3cee260901e63a114cf1542c2", "generator_version": "3.0"}
{"id": "v3_val_00002091", "prompt": "What is -82 * (7 + 34)?", "solution_steps": ["Add: 7 + 34 = 41", "Multiply: -82 * 41 = -3362"], "final_answer": "-3362", "answer_type": "integer", "kind": "expression", "math_text": "-82 * (7 + 34)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": 7, \"c\": 34}", "seed": "8673559472954425197", "semantic_fingerprint": "sha256:2ece864d8bbab13e7155fe4e207170c5543fbe72fe5ef45e7c34afeaf748d938", "generator_version": "3.0"}
{"id": "v3_val_00002092", "prompt": "Evaluate: -5 * (-530)", "solution_steps": ["Multiply: -5 * (-530) = 2650"], "final_answer": "2650", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-530)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -530}", "seed": "8874161707367617384", "semantic_fingerprint": "sha256:0b8ce7d3968830694da577ade3e0df87c2a65423543c3c0b11e69fffaf48751e", "generator_version": "3.0"}
{"id": "v3_val_00002093", "prompt": "Evaluate: 578 * (-7 / 5) - 670", "solution_steps": ["Divide: -7 / 5 = -7/5", "Multiply: 578 * (-7/5) = -4046/5", "Subtract: -4046/5 - 670 = -7396/5"], "final_answer": "-7396/5", "answer_type": "rational", "kind": "expression", "math_text": "578 * (-7 / 5) - 670", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 578, \"b\": -7, \"c\": 5, \"d\": 670}", "seed": "17386049923252191508", "semantic_fingerprint": "sha256:97a6cfb1aeaec07758e0d15494babf758e74fb95b4deec1bc10cf99fe378ad26", "generator_version": "3.0"}
{"id": "v3_val_00002094", "prompt": "Compute: 174 * (-731) / (-366) + 2 * (-72)", "solution_steps": ["Multiply: 174 * (-731) = -127194", "Divide: -127194 / (-366) = 21199/61", "Multiply: 2 * (-72) = -144", "Add: 21199/61 + (-144) = 12415/61"], "final_answer": "12415/61", "answer_type": "rational", "kind": "expression", "math_text": "174 * (-731) / (-366) + 2 * (-72)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 174, \"b\": -731, \"c\": -366, \"d\": 2, \"e\": -72}", "seed": "15530223524582484228", "semantic_fingerprint": "sha256:71956d373a8c7e71222c0bf39cab698bed761d9789eacf2cc4da2f5788c79160", "generator_version": "3.0"}
{"id": "v3_val_00002095", "prompt": "What value of x satisfies -9(x - 96) = x + 8?", "solution_steps": ["Expand: -9x + 864 = x + 8", "Subtract x from both sides: -10x + 864 = 8", "Subtract 864 from both sides: -10x = -856", "Divide both sides by -10: x = 428/5"], "final_answer": "428/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 96) = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 96, \"c\": 8}", "seed": "7353917706283211037", "semantic_fingerprint": "sha256:60ab9187736a964ea5a72fd2b812382c41ff360225dd502cda8921e830d8f660", "generator_version": "3.0"}
{"id": "v3_val_00002096", "prompt": "Evaluate: -18 / (-34) / 1 / (-528 / 64 + 33)", "solution_steps": ["Divide: -18 / (-34) = 9/17", "Divide: (9/17) / 1 = 9/17", "Divide: -528 / 64 = -33/4", "Add: -33/4 + 33 = 99/4", "Divide: (9/17) / (99/4) = 4/187"], "final_answer": "4/187", "answer_type": "rational", "kind": "expression", "math_text": "-18 / (-34) / 1 / (-528 / 64 + 33)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (/ n n) n) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -34, \"c\": 1, \"d\": -528, \"e\": 64, \"f\": 33}", "seed": "15774264675875745423", "semantic_fingerprint": "sha256:9f3a0192254ada774b68463f024ea5492bb5f7492a5dc69df384c9f3b952b9a4", "generator_version": "3.0"}
{"id": "v3_val_00002097", "prompt": "Calculate: (2 - (-137)) * 6", "solution_steps": ["Subtract: 2 - (-137) = 139", "Multiply: 139 * 6 = 834"], "final_answer": "834", "answer_type": "integer", "kind": "expression", "math_text": "(2 - (-137)) * 6", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -137, \"c\": 6}", "seed": "10920864419005475624", "semantic_fingerprint": "sha256:83c47ae9003c20c500abd3540768790b9adb36d59a1154767f0b22cf0919cc04", "generator_version": "3.0"}
{"id": "v3_val_00002098", "prompt": "Solve the equation 12x - 1 = -109 for x.", "solution_steps": ["Add 1 to both sides: 12x = -108", "Divide both sides by 12: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 1 = -109", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"d\": -109, \"x\": -9}", "seed": "6312038987518638346", "semantic_fingerprint": "sha256:270af2137c421b9792c89973c0f05cf928bb7a7a0d6ef87ca00be49df195c3d0", "generator_version": "3.0"}
{"id": "v3_val_00002099", "prompt": "Compute: 64 + (-30) - 4", "solution_steps": ["Add: 64 + (-30) = 34", "Subtract: 34 - 4 = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "64 + (-30) - 4", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -30, \"c\": 4}", "seed": "2297554772404496287", "semantic_fingerprint": "sha256:5fdee927bd0a669404ef810b12d7d145e55c4fb1c0bbe17a584168e292d172b1", "generator_version": "3.0"}
{"id": "v3_val_00002100", "prompt": "Calculate: 869 * (-34) - (-179 + (-60))", "solution_steps": ["Multiply: 869 * (-34) = -29546", "Add: -179 + (-60) = -239", "Subtract: -29546 - (-239) = -29307"], "final_answer": "-29307", "answer_type": "integer", "kind": "expression", "math_text": "869 * (-34) - (-179 + (-60))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 869, \"b\": -34, \"c\": -179, \"d\": -60}", "seed": "13551474120708421618", "semantic_fingerprint": "sha256:6d39cd96b66d8b7373cc8ad1fcfa6eee8f56073313c7584326745da361a16321", "generator_version": "3.0"}
{"id": "v3_val_00002101", "prompt": "What is 54 * (-3) / (-9 * 9)?", "solution_steps": ["Multiply: 54 * (-3) = -162", "Multiply: -9 * 9 = -81", "Divide: -162 / (-81) = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "54 * (-3) / (-9 * 9)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -3, \"c\": -9, \"d\": 9}", "seed": "5138723169464270394", "semantic_fingerprint": "sha256:422def21ee5e53c3ee5bb5e52ad589ea7f76059fa4eac42d3160156bcfc7a9f9", "generator_version": "3.0"}
{"id": "v3_val_00002102", "prompt": "What is 0 * (-36) * 0 - 939?", "solution_steps": ["Multiply: 0 * (-36) = 0", "Multiply: 0 * 0 = 0", "Subtract: 0 - 939 = -939"], "final_answer": "-939", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-36) * 0 - 939", "variable": null, "family": "expression_3op", "shape": "(- (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -36, \"c\": 0, \"d\": 939}", "seed": "18016155080108706041", "semantic_fingerprint": "sha256:7d64e7a78c3c8d90aa15ceb7e36c370df93115c1c604647270e6ad94f0876a20", "generator_version": "3.0"}
{"id": "v3_val_00002103", "prompt": "Find x: -10x = 2(x - 81) + 306", "solution_steps": ["Expand: -10x = 2x - 162 + 306", "Combine constants: -10x = 2x + 144", "Subtract 2x from both sides: -12x = 144", "Divide both sides by -12: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = 2(x - 81) + 306", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 2, \"c\": 81, \"e\": 306, \"x\": -12}", "seed": "10622423578224923146", "semantic_fingerprint": "sha256:9c7dd3d16b6c36d25f6485ff51ef4a764e35f1ee1e9cbeef0cd238be3f82338d", "generator_version": "3.0"}
{"id": "v3_val_00002104", "prompt": "Solve the equation -8(x - 54) = x for x.", "solution_steps": ["Expand: -8x + 432 = x", "Subtract x from both sides: -9x + 432 = 0", "Subtract 432 from both sides: -9x = -432", "Divide both sides by -9: x = 48"], "final_answer": "48", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 54) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 54}", "seed": "1580678948940240424", "semantic_fingerprint": "sha256:a5e83c7ff62a6a79c4269392337621944a353ae63c9b0f3619b7d2b064619799", "generator_version": "3.0"}
{"id": "v3_val_00002105", "prompt": "Calculate: -6 * (-58 * (-9) / (-2) + 52 - 0)", "solution_steps": ["Multiply: -58 * (-9) = 522", "Divide: 522 / (-2) = -261", "Add: -261 + 52 = -209", "Subtract: -209 - 0 = -209", "Multiply: -6 * (-209) = 1254"], "final_answer": "1254", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-58 * (-9) / (-2) + 52 - 0)", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ (/ (* n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -58, \"c\": -9, \"d\": -2, \"e\": 52, \"f\": 0}", "seed": "2834782926944974671", "semantic_fingerprint": "sha256:7ea39a201612a50acfbaab3ec199dcf4e3718c5d8d85b8d9853b4bbfdf6cbc91", "generator_version": "3.0"}
{"id": "v3_val_00002106", "prompt": "Evaluate: 518 * (-8) * (-5)", "solution_steps": ["Multiply: 518 * (-8) = -4144", "Multiply: -4144 * (-5) = 20720"], "final_answer": "20720", "answer_type": "integer", "kind": "expression", "math_text": "518 * (-8) * (-5)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 518, \"b\": -8, \"c\": -5}", "seed": "7141604505579810422", "semantic_fingerprint": "sha256:5d9a935dc6303c24af7845a8dca63244bbc4dc98447f60f115f16ab31584f0af", "generator_version": "3.0"}
{"id": "v3_val_00002107", "prompt": "Evaluate: 15 + 5 - 698", "solution_steps": ["Add: 15 + 5 = 20", "Subtract: 20 - 698 = -678"], "final_answer": "-678", "answer_type": "integer", "kind": "expression", "math_text": "15 + 5 - 698", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 5, \"c\": 698}", "seed": "11932031180970033903", "semantic_fingerprint": "sha256:d4ce4b77977a0b7a1967f9db975eacdeefa9db294053fa037718da9b7e598aaf", "generator_version": "3.0"}
{"id": "v3_val_00002108", "prompt": "Evaluate: -21 / (-161 * (-25))", "solution_steps": ["Multiply: -161 * (-25) = 4025", "Divide: -21 / 4025 = -3/575"], "final_answer": "-3/575", "answer_type": "rational", "kind": "expression", "math_text": "-21 / (-161 * (-25))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -161, \"c\": -25}", "seed": "10161958819110467163", "semantic_fingerprint": "sha256:e579a9fbc422dc3c865f571972247ce9f77adc54f85661472fb91d95a82c6da9", "generator_version": "3.0"}
{"id": "v3_val_00002109", "prompt": "What is 73 / (-7 / 857)?", "solution_steps": ["Divide: -7 / 857 = -7/857", "Divide: 73 / (-7/857) = -62561/7"], "final_answer": "-62561/7", "answer_type": "rational", "kind": "expression", "math_text": "73 / (-7 / 857)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -7, \"c\": 857}", "seed": "7571851854983877934", "semantic_fingerprint": "sha256:06f8c1de5c5ebc9a7719ca68b5cb7e96fcca8d58e0fb378bab2df481f2c29223", "generator_version": "3.0"}
{"id": "v3_val_00002110", "prompt": "Solve for x: x = 5(x - 134) + 746", "solution_steps": ["Expand: x = 5x - 670 + 746", "Combine constants: x = 5x + 76", "Subtract 5x from both sides: -4x = 76", "Divide both sides by -4: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 5(x - 134) + 746", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 134, \"d\": 746, \"x\": -19}", "seed": "18295226645947588229", "semantic_fingerprint": "sha256:ffb8f4d5a4d50feb090566cda6c3219bf3f85f02ef6ac48a81fec7364794d0e2", "generator_version": "3.0"}
{"id": "v3_val_00002111", "prompt": "What value of x satisfies 10x + 4 = 2(x - 9) + 166?", "solution_steps": ["Expand: 10x + 4 = 2x - 18 + 166", "Combine constants: 10x + 4 = 2x + 148", "Subtract 2x from both sides: 8x + 4 = 148", "Subtract 4 from both sides: 8x = 144", "Divide both sides by 8: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 4 = 2(x - 9) + 166", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 2, \"d\": 9, \"f\": 166, \"x\": 18}", "seed": "12025726918567554445", "semantic_fingerprint": "sha256:c63400ed14a997ca5b817c2ea07e2dc739c92c0b1ed566a93c7b1d4b0630eaab", "generator_version": "3.0"}
{"id": "v3_val_00002112", "prompt": "What is 39 * (8 * 5) / 698?", "solution_steps": ["Multiply: 8 * 5 = 40", "Multiply: 39 * 40 = 1560", "Divide: 1560 / 698 = 780/349"], "final_answer": "780/349", "answer_type": "rational", "kind": "expression", "math_text": "39 * (8 * 5) / 698", "variable": null, "family": "expression_3op", "shape": "(/ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 8, \"c\": 5, \"d\": 698}", "seed": "4481103762521782328", "semantic_fingerprint": "sha256:686ee6a412259f5304fa5351c24170911c26f87d3c5ce25c10b80cb28e343ac1", "generator_version": "3.0"}
{"id": "v3_val_00002113", "prompt": "Solve the equation 12x + 71 = -8x + 331 for x.", "solution_steps": ["Add 8x to both sides: 20x + 71 = 331", "Subtract 71 from both sides: 20x = 260", "Divide both sides by 20: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 71 = -8x + 331", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 71, \"c\": -8, \"e\": 331, \"x\": 13}", "seed": "8718381659091486089", "semantic_fingerprint": "sha256:bd317a6db1f95d2fa2d9906d3957d8b222ae61de73f50258b4ac6771f3d7a58d", "generator_version": "3.0"}
{"id": "v3_val_00002114", "prompt": "Calculate: -351 / (46 / (-6))", "solution_steps": ["Divide: 46 / (-6) = -23/3", "Divide: -351 / (-23/3) = 1053/23"], "final_answer": "1053/23", "answer_type": "rational", "kind": "expression", "math_text": "-351 / (46 / (-6))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -351, \"b\": 46, \"c\": -6}", "seed": "11934738196765482786", "semantic_fingerprint": "sha256:774201172c76c699d0cac08fc8fd0770342a85c87e2d1dcfb72dec91253145a2", "generator_version": "3.0"}
{"id": "v3_val_00002115", "prompt": "What is -57 - (82 + (-571 + (-2)) + (-43))?", "solution_steps": ["Add: -571 + (-2) = -573", "Add: 82 + (-573) = -491", "Add: -491 + (-43) = -534", "Subtract: -57 - (-534) = 477"], "final_answer": "477", "answer_type": "integer", "kind": "expression", "math_text": "-57 - (82 + (-571 + (-2)) + (-43))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 82, \"c\": -571, \"d\": -2, \"e\": -43}", "seed": "18017110435905519499", "semantic_fingerprint": "sha256:9a256eb15ea82163bc0d90debb5a04d22140e0df0b1186211b56682d4b437a08", "generator_version": "3.0"}
{"id": "v3_val_00002116", "prompt": "Solve the equation 9x + 2 = 48 for x.", "solution_steps": ["Subtract 2 from both sides: 9x = 46", "Divide both sides by 9: x = 46/9"], "final_answer": "46/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x + 2 = 48", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 48}", "seed": "15755203553549213963", "semantic_fingerprint": "sha256:d3722282ed5ed1f874364b146b60250c4fbf86eac70c4bb591d73d889b4901eb", "generator_version": "3.0"}
{"id": "v3_val_00002117", "prompt": "Calculate: 8 * 7 * (-17)", "solution_steps": ["Multiply: 8 * 7 = 56", "Multiply: 56 * (-17) = -952"], "final_answer": "-952", "answer_type": "integer", "kind": "expression", "math_text": "8 * 7 * (-17)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": -17}", "seed": "10149028028228972238", "semantic_fingerprint": "sha256:ab6809b3a93526f0cd68f221a9e0e04c0244fb0d791fa06e59336449c1766e06", "generator_version": "3.0"}
{"id": "v3_val_00002118", "prompt": "What is -471 - (-483 * (-818) + 80) / (-2 + 92)?", "solution_steps": ["Multiply: -483 * (-818) = 395094", "Add: 395094 + 80 = 395174", "Add: -2 + 92 = 90", "Divide: 395174 / 90 = 197587/45", "Subtract: -471 - 197587/45 = -218782/45"], "final_answer": "-218782/45", "answer_type": "rational", "kind": "expression", "math_text": "-471 - (-483 * (-818) + 80) / (-2 + 92)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ (* n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -471, \"b\": -483, \"c\": -818, \"d\": 80, \"e\": -2, \"f\": 92}", "seed": "5253714838041859449", "semantic_fingerprint": "sha256:0e71211c2c61e7ea26389f68dc49d587e7fc9c77f0d8ce29fdafe888d29310c7", "generator_version": "3.0"}
{"id": "v3_val_00002119", "prompt": "Calculate: 32 + 84", "solution_steps": ["Add: 32 + 84 = 116"], "final_answer": "116", "answer_type": "integer", "kind": "expression", "math_text": "32 + 84", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 84}", "seed": "10183613804006160059", "semantic_fingerprint": "sha256:b365856a8d2ec030acd1413cad0135d8c265d1f5cef7b5e0036c549504dab464", "generator_version": "3.0"}
{"id": "v3_val_00002120", "prompt": "Compute: 61 / (-504) - (-69 - (-45))", "solution_steps": ["Divide: 61 / (-504) = -61/504", "Subtract: -69 - (-45) = -24", "Subtract: -61/504 - (-24) = 12035/504"], "final_answer": "12035/504", "answer_type": "rational", "kind": "expression", "math_text": "61 / (-504) - (-69 - (-45))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -504, \"c\": -69, \"d\": -45}", "seed": "13845790541363595416", "semantic_fingerprint": "sha256:0e0a8c10093ef63476d558ab46d611fe7edeb9cb7c8ab192e3dbbf284d722aca", "generator_version": "3.0"}
{"id": "v3_val_00002121", "prompt": "Compute: 177 + (-33 - (-43))", "solution_steps": ["Subtract: -33 - (-43) = 10", "Add: 177 + 10 = 187"], "final_answer": "187", "answer_type": "integer", "kind": "expression", "math_text": "177 + (-33 - (-43))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 177, \"b\": -33, \"c\": -43}", "seed": "6127976881155217625", "semantic_fingerprint": "sha256:a9df51a50be34871203ebd531617f8c47715cd4ef237617bf5c81feb014f7b21", "generator_version": "3.0"}
{"id": "v3_val_00002122", "prompt": "Evaluate: 182 + 83 / (-741)", "solution_steps": ["Divide: 83 / (-741) = -83/741", "Add: 182 + (-83/741) = 134779/741"], "final_answer": "134779/741", "answer_type": "rational", "kind": "expression", "math_text": "182 + 83 / (-741)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 182, \"b\": 83, \"c\": -741}", "seed": "54257661728984414", "semantic_fingerprint": "sha256:9c0637c4c85f2c05428a381b220ab877b9c29ccb90ebe2c56b72dec8cc165f9c", "generator_version": "3.0"}
{"id": "v3_val_00002123", "prompt": "Calculate: -32 / (-1) - (-4) - (381 + (-50)) + 140", "solution_steps": ["Divide: -32 / (-1) = 32", "Subtract: 32 - (-4) = 36", "Add: 381 + (-50) = 331", "Subtract: 36 - 331 = -295", "Add: -295 + 140 = -155"], "final_answer": "-155", "answer_type": "integer", "kind": "expression", "math_text": "-32 / (-1) - (-4) - (381 + (-50)) + 140", "variable": null, "family": "expression_5op", "shape": "(+ (- (- (/ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -1, \"c\": -4, \"d\": 381, \"e\": -50, \"f\": 140}", "seed": "902028731288865656", "semantic_fingerprint": "sha256:e3de3006ea2fde9c81eb36da175b72f54043049705ce4d7f55e64691ecf215b1", "generator_version": "3.0"}
{"id": "v3_val_00002124", "prompt": "Solve for x: 11x = x - 70", "solution_steps": ["Subtract x from both sides: 10x = -70", "Divide both sides by 10: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = x - 70", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": -70, \"x\": -7}", "seed": "3250527278890343139", "semantic_fingerprint": "sha256:b2018f35e9d19183f560aeea0aff7a69d21b06c5fbde7502ad50c061b9934f55", "generator_version": "3.0"}
{"id": "v3_val_00002125", "prompt": "Solve for x: 11(x - 4) = x + 26", "solution_steps": ["Expand: 11x - 44 = x + 26", "Subtract x from both sides: 10x - 44 = 26", "Add 44 to both sides: 10x = 70", "Divide both sides by 10: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 4) = x + 26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"d\": 26, \"x\": 7}", "seed": "15982698603051491500", "semantic_fingerprint": "sha256:f58191a63e0e3576c4741aacb1d1ce06602cfa66ce4f4a7ba462510bda75a4ab", "generator_version": "3.0"}
{"id": "v3_val_00002126", "prompt": "Calculate: -9 / (-90) / (-322)", "solution_steps": ["Divide: -9 / (-90) = 1/10", "Divide: (1/10) / (-322) = -1/3220"], "final_answer": "-1/3220", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-90) / (-322)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -90, \"c\": -322}", "seed": "17564105224604293207", "semantic_fingerprint": "sha256:7d1aaeea738e9d1ad8bbb4133b253b439e8e9f0ff992ea48e6453497dbbad032", "generator_version": "3.0"}
{"id": "v3_val_00002127", "prompt": "Evaluate: -1 * (63 * (-36)) - 0 + (-6)", "solution_steps": ["Multiply: 63 * (-36) = -2268", "Multiply: -1 * (-2268) = 2268", "Subtract: 2268 - 0 = 2268", "Add: 2268 + (-6) = 2262"], "final_answer": "2262", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (63 * (-36)) - 0 + (-6)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 63, \"c\": -36, \"d\": 0, \"e\": -6}", "seed": "2946112236618591883", "semantic_fingerprint": "sha256:374d178fc0cdffa84d0eb8c59b21c20cf6d30d53dec967bf7a58ae9f776e847a", "generator_version": "3.0"}
{"id": "v3_val_00002128", "prompt": "Evaluate: (1 - 131) * (-5 - 8 / (-809))", "solution_steps": ["Subtract: 1 - 131 = -130", "Divide: 8 / (-809) = -8/809", "Subtract: -5 - (-8/809) = -4037/809", "Multiply: -130 * (-4037/809) = 524810/809"], "final_answer": "524810/809", "answer_type": "rational", "kind": "expression", "math_text": "(1 - 131) * (-5 - 8 / (-809))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 131, \"c\": -5, \"d\": 8, \"e\": -809}", "seed": "5723148298689544492", "semantic_fingerprint": "sha256:372fa482485b1d2742f57b0a54c120dd9cd58d5b89f1c5fdb4307e0f3fffa35b", "generator_version": "3.0"}
{"id": "v3_val_00002129", "prompt": "What is -3 - (-10) - 82?", "solution_steps": ["Subtract: -3 - (-10) = 7", "Subtract: 7 - 82 = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-10) - 82", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -10, \"c\": 82}", "seed": "3892388414634046986", "semantic_fingerprint": "sha256:dee30f84e15b1d23002d64b8e44a15cc40344b86775780254bf1c079bbbdb6e0", "generator_version": "3.0"}
{"id": "v3_val_00002130", "prompt": "What is (-7 + (-95)) * (-107)?", "solution_steps": ["Add: -7 + (-95) = -102", "Multiply: -102 * (-107) = 10914"], "final_answer": "10914", "answer_type": "integer", "kind": "expression", "math_text": "(-7 + (-95)) * (-107)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -95, \"c\": -107}", "seed": "3023829947800743885", "semantic_fingerprint": "sha256:0b9bf85a31955341f7936f7081ae27e7d6567f8451a05f34b7ba08b2ca46e6b0", "generator_version": "3.0"}
{"id": "v3_val_00002131", "prompt": "Evaluate: -2 / (4 / (-1)) + (-14) * (-5)", "solution_steps": ["Divide: 4 / (-1) = -4", "Divide: -2 / (-4) = 1/2", "Multiply: -14 * (-5) = 70", "Add: 1/2 + 70 = 141/2"], "final_answer": "141/2", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (4 / (-1)) + (-14) * (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": -1, \"d\": -14, \"e\": -5}", "seed": "1985440520007628446", "semantic_fingerprint": "sha256:e103a3e8bc939ccbbd3759091d5739af4ddd9c364cb573e60988fd8385184127", "generator_version": "3.0"}
{"id": "v3_val_00002132", "prompt": "Calculate: 0 - (-9) - (-30) / 383", "solution_steps": ["Subtract: 0 - (-9) = 9", "Divide: -30 / 383 = -30/383", "Subtract: 9 - (-30/383) = 3477/383"], "final_answer": "3477/383", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-9) - (-30) / 383", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": -30, \"d\": 383}", "seed": "4733320625037438202", "semantic_fingerprint": "sha256:599bba18dce4f0dc08444881dd0ebf37015ff7de976f00852eb2122ef71e3279", "generator_version": "3.0"}
{"id": "v3_val_00002133", "prompt": "Solve for x: 9(x - 75) - 417 = 3(x - 436) + 258", "solution_steps": ["Expand: 9x - 675 - 417 = 3(x - 436) + 258", "Expand: 9x - 675 - 417 = 3x - 1308 + 258", "Combine constants: 9x - 1092 = 3x - 1308 + 258", "Combine constants: 9x - 1092 = 3x - 1050", "Subtract 3x from both sides: 6x - 1092 = -1050", "Add 1092 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 - 75) - 417 = 3(x - 436) + 258", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 75, \"c\": 417, \"d\": 3, \"e\": 436, \"g\": 258, \"x\": 7}", "seed": "12171271396904955132", "semantic_fingerprint": "sha256:f7a22b8ccc802fd139c332c6556563e20cfbf32754f53c0127b391fd0b970fa0", "generator_version": "3.0"}
{"id": "v3_val_00002134", "prompt": "Evaluate: (91 - 8 * (-32)) * 46", "solution_steps": ["Multiply: 8 * (-32) = -256", "Subtract: 91 - (-256) = 347", "Multiply: 347 * 46 = 15962"], "final_answer": "15962", "answer_type": "integer", "kind": "expression", "math_text": "(91 - 8 * (-32)) * 46", "variable": null, "family": "expression_3op", "shape": "(* (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 8, \"c\": -32, \"d\": 46}", "seed": "3831305034820684152", "semantic_fingerprint": "sha256:54aa37fdf1c8eeda21eca2f1386d8956b71f4765f22c26807a858a7c70a210fa", "generator_version": "3.0"}
{"id": "v3_val_00002135", "prompt": "Solve the equation 2x = -3x + 85 for x.", "solution_steps": ["Add 3x to both sides: 5x = 85", "Divide both sides by 5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = -3x + 85", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -3, \"d\": 85, \"x\": 17}", "seed": "15485688067685067803", "semantic_fingerprint": "sha256:225e640fee28660f573732b9ed364d5fafcb129a4bbd899abd65822c7d604e1d", "generator_version": "3.0"}
{"id": "v3_val_00002136", "prompt": "Solve the equation 7x + 56 = x + 74 for x.", "solution_steps": ["Subtract x from both sides: 6x + 56 = 74", "Subtract 56 from both sides: 6x = 18", "Divide both sides by 6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 56 = x + 74", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 56, \"d\": 74, \"x\": 3}", "seed": "12292561839253272492", "semantic_fingerprint": "sha256:55f0b0a71f5e5462209ac5e06079b5474c54ee917186857b1d6c0f550462b00f", "generator_version": "3.0"}
{"id": "v3_val_00002137", "prompt": "Evaluate: 42 / (-90) / (-53)", "solution_steps": ["Divide: 42 / (-90) = -7/15", "Divide: (-7/15) / (-53) = 7/795"], "final_answer": "7/795", "answer_type": "rational", "kind": "expression", "math_text": "42 / (-90) / (-53)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -90, \"c\": -53}", "seed": "365586781566679129", "semantic_fingerprint": "sha256:1a25d35ec55f92fc471670122b7de6d165eb32c651ecf1801b87173a99c5dcb5", "generator_version": "3.0"}
{"id": "v3_val_00002138", "prompt": "What is -195 - (65 / 2 + (-971))?", "solution_steps": ["Divide: 65 / 2 = 65/2", "Add: 65/2 + (-971) = -1877/2", "Subtract: -195 - (-1877/2) = 1487/2"], "final_answer": "1487/2", "answer_type": "rational", "kind": "expression", "math_text": "-195 - (65 / 2 + (-971))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -195, \"b\": 65, \"c\": 2, \"d\": -971}", "seed": "6330994491873801763", "semantic_fingerprint": "sha256:3a9f974caf59a30a399febadadfcc29650d97a0f64dfdaa260d8155723e6d525", "generator_version": "3.0"}
{"id": "v3_val_00002139", "prompt": "What value of x satisfies 5x = 4x - 17?", "solution_steps": ["Subtract 4x from both sides: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 4x - 17", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 17}", "seed": "7945837315179190862", "semantic_fingerprint": "sha256:7cc8d94325205282126b7e80cb8df4c808eb66ca55de9afd8e3fa34e35486eb7", "generator_version": "3.0"}
{"id": "v3_val_00002140", "prompt": "What value of x satisfies x = -2x + 9?", "solution_steps": ["Add 2x to both sides: 3x = 9", "Divide both sides by 3: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -2x + 9", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"c\": 9, \"x\": 3}", "seed": "11246281844978265443", "semantic_fingerprint": "sha256:c6573d7e7a9359739d8223e2fc78a353c1ffa3c31e3d88e3ae2c204d1184a95c", "generator_version": "3.0"}
{"id": "v3_val_00002141", "prompt": "Evaluate: -9 / (-1) + 49 * (25 + (-2 - 0))", "solution_steps": ["Divide: -9 / (-1) = 9", "Subtract: -2 - 0 = -2", "Add: 25 + (-2) = 23", "Multiply: 49 * 23 = 1127", "Add: 9 + 1127 = 1136"], "final_answer": "1136", "answer_type": "integer", "kind": "expression", "math_text": "-9 / (-1) + 49 * (25 + (-2 - 0))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* n (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": 49, \"d\": 25, \"e\": -2, \"f\": 0}", "seed": "1484802894085782044", "semantic_fingerprint": "sha256:48a8df3bcda0fb6de8d84de6fd380ad9c93632cc0bc53b09bddabe96865bec8c", "generator_version": "3.0"}
{"id": "v3_val_00002142", "prompt": "What is 53 / (3 / (-961) * (-61))?", "solution_steps": ["Divide: 3 / (-961) = -3/961", "Multiply: (-3/961) * (-61) = 183/961", "Divide: 53 / (183/961) = 50933/183"], "final_answer": "50933/183", "answer_type": "rational", "kind": "expression", "math_text": "53 / (3 / (-961) * (-61))", "variable": null, "family": "expression_3op", "shape": "(/ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 3, \"c\": -961, \"d\": -61}", "seed": "8300459957231226351", "semantic_fingerprint": "sha256:591eac78e5d3bb631f31655a6db172f9622e793271e6846a5cd02791de93b6e9", "generator_version": "3.0"}
{"id": "v3_val_00002143", "prompt": "Solve for x: 2(x - 5) - 11 = -1", "solution_steps": ["Expand: 2x - 10 - 11 = -1", "Combine constants: 2x - 21 = -1", "Add 21 to both sides: 2x = 20", "Divide both sides by 2: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 5) - 11 = -1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 11, \"e\": -1, \"x\": 10}", "seed": "986846478530306950", "semantic_fingerprint": "sha256:2edbd9c8f7da510f0bef8db3a3ee8099e7ae8ad55f0a2ab3ba5241a5755d1fc3", "generator_version": "3.0"}
{"id": "v3_val_00002144", "prompt": "What value of x satisfies 9x - 279 = -9(x + 35)?", "solution_steps": ["Expand: 9x - 279 = -9x - 315", "Add 9x to both sides: 18x - 279 = -315", "Add 279 to both sides: 18x = -36", "Divide both sides by 18: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 279 = -9(x + 35)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -9, \"c\": 35, \"e\": -279, \"x\": -2}", "seed": "17039498478718755574", "semantic_fingerprint": "sha256:731dd1d3f32256e9c477a131b4d3cc736d8b30eab523868bae0a68d4dde1abf4", "generator_version": "3.0"}
{"id": "v3_val_00002145", "prompt": "Evaluate: (689 - 6) * (-48)", "solution_steps": ["Subtract: 689 - 6 = 683", "Multiply: 683 * (-48) = -32784"], "final_answer": "-32784", "answer_type": "integer", "kind": "expression", "math_text": "(689 - 6) * (-48)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 689, \"b\": 6, \"c\": -48}", "seed": "17746622555018043475", "semantic_fingerprint": "sha256:06aacc301ed9c8f21d43acb1530af4a57d16c5214909be324e063ec26f7ff33f", "generator_version": "3.0"}
{"id": "v3_val_00002146", "prompt": "Solve for x: x = 10(x + 16) + 469", "solution_steps": ["Expand: x = 10x + 160 + 469", "Combine constants: x = 10x + 629", "Subtract 10x from both sides: -9x = 629", "Divide both sides by -9: x = -629/9"], "final_answer": "-629/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 10(x + 16) + 469", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 16, \"c\": 469}", "seed": "16445893070791261334", "semantic_fingerprint": "sha256:0016692a6fbed3adf7e1d61e0573a3a70c1f916bee650e778a7147b05be18a07", "generator_version": "3.0"}
{"id": "v3_val_00002147", "prompt": "Calculate: -6 / (-6) + 619", "solution_steps": ["Divide: -6 / (-6) = 1", "Add: 1 + 619 = 620"], "final_answer": "620", "answer_type": "integer", "kind": "expression", "math_text": "-6 / (-6) + 619", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -6, \"c\": 619}", "seed": "7623487640833236632", "semantic_fingerprint": "sha256:3aac72890ff85ce361a96458d6676b2aaac0a08b72fd4cf3539fc89f55cbc28d", "generator_version": "3.0"}
{"id": "v3_val_00002148", "prompt": "Evaluate: 86 + (-8 / 9 - (-30)) * 418", "solution_steps": ["Divide: -8 / 9 = -8/9", "Subtract: -8/9 - (-30) = 262/9", "Multiply: (262/9) * 418 = 109516/9", "Add: 86 + 109516/9 = 110290/9"], "final_answer": "110290/9", "answer_type": "rational", "kind": "expression", "math_text": "86 + (-8 / 9 - (-30)) * 418", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -8, \"c\": 9, \"d\": -30, \"e\": 418}", "seed": "2620766542805279056", "semantic_fingerprint": "sha256:0a15a35edbac7de95f2507667958b6547463cb86c7e14756512bd7a89adef54f", "generator_version": "3.0"}
{"id": "v3_val_00002149", "prompt": "Solve for x: -3(x + 9) = -10(x + 3) + 129", "solution_steps": ["Expand: -3x - 27 = -10(x + 3) + 129", "Expand: -3x - 27 = -10x - 30 + 129", "Combine constants: -3x - 27 = -10x + 99", "Add 10x to both sides: 7x - 27 = 99", "Add 27 to both sides: 7x = 126", "Divide both sides by 7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 9) = -10(x + 3) + 129", "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\": -10, \"d\": 3, \"f\": 129, \"x\": 18}", "seed": "3732856913816368999", "semantic_fingerprint": "sha256:a039a7e5f8bfe3c898f2d149c92a3819f1052ccde7f4fe7dffd98a2ecec50a20", "generator_version": "3.0"}
{"id": "v3_val_00002150", "prompt": "What is -82 - 584 - 2 + (-4)?", "solution_steps": ["Subtract: -82 - 584 = -666", "Subtract: -666 - 2 = -668", "Add: -668 + (-4) = -672"], "final_answer": "-672", "answer_type": "integer", "kind": "expression", "math_text": "-82 - 584 - 2 + (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": 584, \"c\": 2, \"d\": -4}", "seed": "14660493040881750540", "semantic_fingerprint": "sha256:e13bacb7a436f6470f79d1b2ff226b3c636aef9cc918ef32d79b369d7eaf9906", "generator_version": "3.0"}
{"id": "v3_val_00002151", "prompt": "What is 67 + (-4 - 2 + (-8) + (-270))?", "solution_steps": ["Subtract: -4 - 2 = -6", "Add: -6 + (-8) = -14", "Add: -14 + (-270) = -284", "Add: 67 + (-284) = -217"], "final_answer": "-217", "answer_type": "integer", "kind": "expression", "math_text": "67 + (-4 - 2 + (-8) + (-270))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -4, \"c\": 2, \"d\": -8, \"e\": -270}", "seed": "10840876264653964708", "semantic_fingerprint": "sha256:8576fc56db484582f81de50cd789aefcba650ab1031058f1cdfcfa27452dd9de", "generator_version": "3.0"}
{"id": "v3_val_00002152", "prompt": "Evaluate: (55 + 41) / 9", "solution_steps": ["Add: 55 + 41 = 96", "Divide: 96 / 9 = 32/3"], "final_answer": "32/3", "answer_type": "rational", "kind": "expression", "math_text": "(55 + 41) / 9", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 41, \"c\": 9}", "seed": "11768049644294008395", "semantic_fingerprint": "sha256:dd082f4ea37b59c81c94f7598cfd27ab7a06052a351ef3142c3ac1511dc1789b", "generator_version": "3.0"}
{"id": "v3_val_00002153", "prompt": "Evaluate: 4 - (54 - (-264) * 29)", "solution_steps": ["Multiply: -264 * 29 = -7656", "Subtract: 54 - (-7656) = 7710", "Subtract: 4 - 7710 = -7706"], "final_answer": "-7706", "answer_type": "integer", "kind": "expression", "math_text": "4 - (54 - (-264) * 29)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 54, \"c\": -264, \"d\": 29}", "seed": "16839189378765283941", "semantic_fingerprint": "sha256:1d72544cfb236c820856a1659421dec46183c2fabf5b312b7bd406231a509f4f", "generator_version": "3.0"}
{"id": "v3_val_00002154", "prompt": "Find x: 8(x - 2) - 273 = -7(x + 67)", "solution_steps": ["Expand: 8x - 16 - 273 = -7(x + 67)", "Expand: 8x - 16 - 273 = -7x - 469", "Combine constants: 8x - 289 = -7x - 469", "Add 7x to both sides: 15x - 289 = -469", "Add 289 to both sides: 15x = -180", "Divide both sides by 15: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 2) - 273 = -7(x + 67)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": -7, \"d\": 67, \"f\": -273, \"x\": -12}", "seed": "13105720896641175744", "semantic_fingerprint": "sha256:7e255d1869e729d08f1c80384f900e3e92f742afafbc54beef1f5e2e64533281", "generator_version": "3.0"}
{"id": "v3_val_00002155", "prompt": "Solve the equation x + 72 = 4(x - 86) + 362 for x.", "solution_steps": ["Expand: x + 72 = 4x - 344 + 362", "Combine constants: x + 72 = 4x + 18", "Subtract 4x from both sides: -3x + 72 = 18", "Subtract 72 from both sides: -3x = -54", "Divide both sides by -3: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 72 = 4(x - 86) + 362", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 4, \"c\": 86, \"e\": 362, \"x\": 18}", "seed": "8249021387991662841", "semantic_fingerprint": "sha256:d036812c340158342b062ece15ba3a1c8e36ce524ed4e4df9006702c26054982", "generator_version": "3.0"}
{"id": "v3_val_00002156", "prompt": "What is 3 - (37 * 57 - (-27) * (-18)) / (-34)?", "solution_steps": ["Multiply: 37 * 57 = 2109", "Multiply: -27 * (-18) = 486", "Subtract: 2109 - 486 = 1623", "Divide: 1623 / (-34) = -1623/34", "Subtract: 3 - (-1623/34) = 1725/34"], "final_answer": "1725/34", "answer_type": "rational", "kind": "expression", "math_text": "3 - (37 * 57 - (-27) * (-18)) / (-34)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- (* n n) (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 37, \"c\": 57, \"d\": -27, \"e\": -18, \"f\": -34}", "seed": "16004416003856275537", "semantic_fingerprint": "sha256:c31a57b2181f104b4de91ea2c138f60d0f306204fd291030e2649430c44587e4", "generator_version": "3.0"}
{"id": "v3_val_00002157", "prompt": "Evaluate: -65 * (-513 * 3) / (-4 / (-12))", "solution_steps": ["Multiply: -513 * 3 = -1539", "Multiply: -65 * (-1539) = 100035", "Divide: -4 / (-12) = 1/3", "Divide: 100035 / (1/3) = 300105"], "final_answer": "300105", "answer_type": "integer", "kind": "expression", "math_text": "-65 * (-513 * 3) / (-4 / (-12))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -513, \"c\": 3, \"d\": -4, \"e\": -12}", "seed": "6791231363193332284", "semantic_fingerprint": "sha256:208738c9bd8d8a1191e55b90c4c869de21c6ba8e309d5b55fc9b2ad3dcdcd4d3", "generator_version": "3.0"}
{"id": "v3_val_00002158", "prompt": "Evaluate: -572 * (-820 * 2 + (6 - (-1)))", "solution_steps": ["Multiply: -820 * 2 = -1640", "Subtract: 6 - (-1) = 7", "Add: -1640 + 7 = -1633", "Multiply: -572 * (-1633) = 934076"], "final_answer": "934076", "answer_type": "integer", "kind": "expression", "math_text": "-572 * (-820 * 2 + (6 - (-1)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -572, \"b\": -820, \"c\": 2, \"d\": 6, \"e\": -1}", "seed": "5187232273870761035", "semantic_fingerprint": "sha256:bc0863d3e1e15a73b4566135251f0e0aca5fa7dc9ae1999cd4a8b2ae68c97ddd", "generator_version": "3.0"}
{"id": "v3_val_00002159", "prompt": "What is -82 + 69?", "solution_steps": ["Add: -82 + 69 = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "-82 + 69", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": 69}", "seed": "9953655090965471807", "semantic_fingerprint": "sha256:22b22ef7a272a4aaedf453d424f087eb5300a197e91149f457eb6dfb2d670626", "generator_version": "3.0"}
{"id": "v3_val_00002160", "prompt": "Solve the equation 7(x + 4) - 97 = 4(x - 79) + 214 for x.", "solution_steps": ["Expand: 7x + 28 - 97 = 4(x - 79) + 214", "Expand: 7x + 28 - 97 = 4x - 316 + 214", "Combine constants: 7x - 69 = 4x - 316 + 214", "Combine constants: 7x - 69 = 4x - 102", "Subtract 4x from both sides: 3x - 69 = -102", "Add 69 to both sides: 3x = -33", "Divide both sides by 3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 4) - 97 = 4(x - 79) + 214", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 97, \"d\": 4, \"e\": 79, \"g\": 214, \"x\": -11}", "seed": "878506958630709639", "semantic_fingerprint": "sha256:f77e07f67a41a70dc4b30bdbdfa943303deea148e35440f3e1e2096510033d57", "generator_version": "3.0"}
{"id": "v3_val_00002161", "prompt": "Evaluate: 97 * (0 - 11) * (-9 + 5)", "solution_steps": ["Subtract: 0 - 11 = -11", "Multiply: 97 * (-11) = -1067", "Add: -9 + 5 = -4", "Multiply: -1067 * (-4) = 4268"], "final_answer": "4268", "answer_type": "integer", "kind": "expression", "math_text": "97 * (0 - 11) * (-9 + 5)", "variable": null, "family": "expression_4op", "shape": "(* (* n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 0, \"c\": 11, \"d\": -9, \"e\": 5}", "seed": "8861141712999585530", "semantic_fingerprint": "sha256:15e5ad87b7463bfc4f647fa22e1991b51509e907081156e475d2d6ab73e4b827", "generator_version": "3.0"}
{"id": "v3_val_00002162", "prompt": "Compute: (237 - 61) * (-10)", "solution_steps": ["Subtract: 237 - 61 = 176", "Multiply: 176 * (-10) = -1760"], "final_answer": "-1760", "answer_type": "integer", "kind": "expression", "math_text": "(237 - 61) * (-10)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 237, \"b\": 61, \"c\": -10}", "seed": "998045040891807200", "semantic_fingerprint": "sha256:de24068aeb8fc73985deb10922d75ed02eb5f7cec24b5da4acb3a284a7fc711f", "generator_version": "3.0"}
{"id": "v3_val_00002163", "prompt": "Compute: (875 - 0) * (-533)", "solution_steps": ["Subtract: 875 - 0 = 875", "Multiply: 875 * (-533) = -466375"], "final_answer": "-466375", "answer_type": "integer", "kind": "expression", "math_text": "(875 - 0) * (-533)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 875, \"b\": 0, \"c\": -533}", "seed": "15270666366529997191", "semantic_fingerprint": "sha256:5fce6c80c27ae85b3717e2bf4faebf4386750eed43fe29ad698a6bc4a368c533", "generator_version": "3.0"}
{"id": "v3_val_00002164", "prompt": "What is 64 * 86 / (14 - 81)?", "solution_steps": ["Multiply: 64 * 86 = 5504", "Subtract: 14 - 81 = -67", "Divide: 5504 / (-67) = -5504/67"], "final_answer": "-5504/67", "answer_type": "rational", "kind": "expression", "math_text": "64 * 86 / (14 - 81)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 86, \"c\": 14, \"d\": 81}", "seed": "7088966118258019281", "semantic_fingerprint": "sha256:c583fa518c5b80ad8cab5b339dcb29a5bf5ec07c10c380bad67890caccc93ab4", "generator_version": "3.0"}
{"id": "v3_val_00002165", "prompt": "Find x: 7x - 74 = 7", "solution_steps": ["Add 74 to both sides: 7x = 81", "Divide both sides by 7: x = 81/7"], "final_answer": "81/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 74 = 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 74, \"c\": 7}", "seed": "2034288692565498541", "semantic_fingerprint": "sha256:97518f0c9d2f70d03210c4316d75a429e1aa87b82f5cfb32b964b5ff8abc1351", "generator_version": "3.0"}
{"id": "v3_val_00002166", "prompt": "Evaluate: 19 / (231 * (-1))", "solution_steps": ["Multiply: 231 * (-1) = -231", "Divide: 19 / (-231) = -19/231"], "final_answer": "-19/231", "answer_type": "rational", "kind": "expression", "math_text": "19 / (231 * (-1))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 231, \"c\": -1}", "seed": "5306524822313790334", "semantic_fingerprint": "sha256:2e73b114cd296ed30447d2aab5cc688179784842e7397e665044f5963f78f02f", "generator_version": "3.0"}
{"id": "v3_val_00002167", "prompt": "Solve the equation 10(x + 19) - 266 = 11(x - 5) - 35 for x.", "solution_steps": ["Expand: 10x + 190 - 266 = 11(x - 5) - 35", "Expand: 10x + 190 - 266 = 11x - 55 - 35", "Combine constants: 10x - 76 = 11x - 55 - 35", "Combine constants: 10x - 76 = 11x - 90", "Subtract 11x from both sides: -x - 76 = -90", "Add 76 to both sides: -x = -14", "Divide both sides by -1: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 19) - 266 = 11(x - 5) - 35", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 19, \"c\": 266, \"d\": 11, \"e\": 5, \"g\": -35, \"x\": 14}", "seed": "13089657106864985451", "semantic_fingerprint": "sha256:d2b13d5e2e3f5cb86ca369226ac139e042bf3317174d416b0eeb7799aee4a073", "generator_version": "3.0"}
{"id": "v3_val_00002168", "prompt": "Compute: (-37 + (-34)) * (6 * (-97))", "solution_steps": ["Add: -37 + (-34) = -71", "Multiply: 6 * (-97) = -582", "Multiply: -71 * (-582) = 41322"], "final_answer": "41322", "answer_type": "integer", "kind": "expression", "math_text": "(-37 + (-34)) * (6 * (-97))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -34, \"c\": 6, \"d\": -97}", "seed": "5960293726306203945", "semantic_fingerprint": "sha256:8ab3312bdfea46064c7214dc59a0d120740a5de64237e7baf9004553651f752e", "generator_version": "3.0"}
{"id": "v3_val_00002169", "prompt": "What is -811 * 2 / (-137 / 48) + 66?", "solution_steps": ["Multiply: -811 * 2 = -1622", "Divide: -137 / 48 = -137/48", "Divide: -1622 / (-137/48) = 77856/137", "Add: 77856/137 + 66 = 86898/137"], "final_answer": "86898/137", "answer_type": "rational", "kind": "expression", "math_text": "-811 * 2 / (-137 / 48) + 66", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -811, \"b\": 2, \"c\": -137, \"d\": 48, \"e\": 66}", "seed": "5374583748483372162", "semantic_fingerprint": "sha256:3a316eaa96cf99ffc83bdf727903896afa88f0643e29a0e37422da8d0dc3be6a", "generator_version": "3.0"}
{"id": "v3_val_00002170", "prompt": "Solve the equation 8(x - 4) = 10(x + 21) - 3 for x.", "solution_steps": ["Expand: 8x - 32 = 10(x + 21) - 3", "Expand: 8x - 32 = 10x + 210 - 3", "Combine constants: 8x - 32 = 10x + 207", "Subtract 10x from both sides: -2x - 32 = 207", "Add 32 to both sides: -2x = 239", "Divide both sides by -2: x = -239/2"], "final_answer": "-239/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 4) = 10(x + 21) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 10, \"d\": 21, \"e\": 3}", "seed": "13326828625002735963", "semantic_fingerprint": "sha256:5d01555dcacb820c00d9266d268d1232b03791e41224757bcbb970b9c5a69603", "generator_version": "3.0"}
{"id": "v3_val_00002171", "prompt": "Find x: -8x + 5 = x", "solution_steps": ["Subtract x from both sides: -9x + 5 = 0", "Subtract 5 from both sides: -9x = -5", "Divide both sides by -9: x = 5/9"], "final_answer": "5/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x + 5 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 5}", "seed": "9975584344594885257", "semantic_fingerprint": "sha256:ced791cba8c3451507dd831dac17f44cd2dbb297637fbf7abc79a9822a1af3ed", "generator_version": "3.0"}
{"id": "v3_val_00002172", "prompt": "Solve the equation -12x = 9x + 68 for x.", "solution_steps": ["Subtract 9x from both sides: -21x = 68", "Divide both sides by -21: x = -68/21"], "final_answer": "-68/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = 9x + 68", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 68}", "seed": "11681844558209086315", "semantic_fingerprint": "sha256:16a580fe6a585f9d265cb9ba1443d23bc11b7b350f4d2c2bf589f15c7a1e4314", "generator_version": "3.0"}
{"id": "v3_val_00002173", "prompt": "What is 0 / (16 / (-5 / 16) + (-1)) * 94?", "solution_steps": ["Divide: -5 / 16 = -5/16", "Divide: 16 / (-5/16) = -256/5", "Add: -256/5 + (-1) = -261/5", "Divide: 0 / (-261/5) = 0", "Multiply: 0 * 94 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (16 / (-5 / 16) + (-1)) * 94", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ (/ n (/ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 16, \"c\": -5, \"d\": 16, \"e\": -1, \"f\": 94}", "seed": "15287986778690672451", "semantic_fingerprint": "sha256:b379489b73b1bff4b1d000756f8322a43a1eea3c998b39579b130f84faa5b113", "generator_version": "3.0"}
{"id": "v3_val_00002174", "prompt": "Calculate: 39 + (-8 + 351 * 61) - 53 * (-93)", "solution_steps": ["Multiply: 351 * 61 = 21411", "Add: -8 + 21411 = 21403", "Add: 39 + 21403 = 21442", "Multiply: 53 * (-93) = -4929", "Subtract: 21442 - (-4929) = 26371"], "final_answer": "26371", "answer_type": "integer", "kind": "expression", "math_text": "39 + (-8 + 351 * 61) - 53 * (-93)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ n (* n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -8, \"c\": 351, \"d\": 61, \"e\": 53, \"f\": -93}", "seed": "9989622379651327090", "semantic_fingerprint": "sha256:374f0493846e95125ce53603b5bc7fece0efb86202d21ff4ba4a97700815ea61", "generator_version": "3.0"}
{"id": "v3_val_00002175", "prompt": "What is -7 / (72 / 58)?", "solution_steps": ["Divide: 72 / 58 = 36/29", "Divide: -7 / (36/29) = -203/36"], "final_answer": "-203/36", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (72 / 58)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 72, \"c\": 58}", "seed": "10064063054756386317", "semantic_fingerprint": "sha256:1c9e4203253647d2869db1ce412895469875c186b2a471ed8abb965a7cde2755", "generator_version": "3.0"}
{"id": "v3_val_00002176", "prompt": "What value of x satisfies 5(x + 8) + 56 = 11x?", "solution_steps": ["Expand: 5x + 40 + 56 = 11x", "Combine constants: 5x + 96 = 11x", "Subtract 11x from both sides: -6x + 96 = 0", "Subtract 96 from both sides: -6x = -96", "Divide both sides by -6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 8) + 56 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 11, \"e\": 56, \"x\": 16}", "seed": "9421108723043478667", "semantic_fingerprint": "sha256:9d53dfe8eb59c932754a3b73c1629ae805261c73ac5b168355b553305f19c0cc", "generator_version": "3.0"}
{"id": "v3_val_00002177", "prompt": "Solve the equation -9(x - 93) - 717 = x for x.", "solution_steps": ["Expand: -9x + 837 - 717 = x", "Combine constants: -9x + 120 = x", "Subtract x from both sides: -10x + 120 = 0", "Subtract 120 from both sides: -10x = -120", "Divide both sides by -10: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 93) - 717 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 93, \"d\": -717, \"x\": 12}", "seed": "5329158703532514184", "semantic_fingerprint": "sha256:bbc5bf9d29958b36569d6cc630200fdd004d778203c5771bf1a6012167586ee8", "generator_version": "3.0"}
{"id": "v3_val_00002178", "prompt": "Solve for x: 8(x - 2) = 43", "solution_steps": ["Expand: 8x - 16 = 43", "Add 16 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": "8(x - 2) = 43", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 43}", "seed": "7343229159795011922", "semantic_fingerprint": "sha256:63508390fb65cfb5265195c3edf5492c7976091b63a2f14fea886822a4fe473f", "generator_version": "3.0"}
{"id": "v3_val_00002179", "prompt": "Find x: x + 45 = 10x", "solution_steps": ["Subtract 10x from both sides: -9x + 45 = 0", "Subtract 45 from both sides: -9x = -45", "Divide both sides by -9: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 45 = 10x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": 45, \"x\": 5}", "seed": "14298707376069197575", "semantic_fingerprint": "sha256:2398a9d0019716b7d973698b3c7754cb3b0a8f36b0bbdcc6cf1361993fc9be9c", "generator_version": "3.0"}
{"id": "v3_val_00002180", "prompt": "What is 33 / 9 * (-4)?", "solution_steps": ["Divide: 33 / 9 = 11/3", "Multiply: (11/3) * (-4) = -44/3"], "final_answer": "-44/3", "answer_type": "rational", "kind": "expression", "math_text": "33 / 9 * (-4)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 9, \"c\": -4}", "seed": "9144211402654651768", "semantic_fingerprint": "sha256:5220d854487cdbd79e4e8d32eb591c493b94f0c04838fa469b03372948b2952e", "generator_version": "3.0"}
{"id": "v3_val_00002181", "prompt": "Solve for x: 8(x + 98) = x + 861", "solution_steps": ["Expand: 8x + 784 = x + 861", "Subtract x from both sides: 7x + 784 = 861", "Subtract 784 from both sides: 7x = 77", "Divide both sides by 7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 98) = x + 861", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 98, \"d\": 861, \"x\": 11}", "seed": "9912493814050923703", "semantic_fingerprint": "sha256:0eb0970c625061d92244fba593def868fd4ef627d99c2a060cc54ad7ffb9665c", "generator_version": "3.0"}
{"id": "v3_val_00002182", "prompt": "What is 52 + (-2)?", "solution_steps": ["Add: 52 + (-2) = 50"], "final_answer": "50", "answer_type": "integer", "kind": "expression", "math_text": "52 + (-2)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": -2}", "seed": "12859528399683332992", "semantic_fingerprint": "sha256:a53e3a19a919d596a8fdb59dab01408f9fba0637eb972e06e88d3b1a1e237f06", "generator_version": "3.0"}
{"id": "v3_val_00002183", "prompt": "Solve the equation x = 8(x + 3) for x.", "solution_steps": ["Expand: x = 8x + 24", "Subtract 8x from both sides: -7x = 24", "Divide both sides by -7: x = -24/7"], "final_answer": "-24/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 8(x + 3)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3}", "seed": "10451566578167875016", "semantic_fingerprint": "sha256:0495b6333dafbf6d154130a1f623f211990a20f991ae9ea71b887b7ccbf5272a", "generator_version": "3.0"}
{"id": "v3_val_00002184", "prompt": "What is 90 + 4?", "solution_steps": ["Add: 90 + 4 = 94"], "final_answer": "94", "answer_type": "integer", "kind": "expression", "math_text": "90 + 4", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 4}", "seed": "16557673953744638203", "semantic_fingerprint": "sha256:1109effe0358e39a43be430f2f63c610a1d2eb45a79b0e2a17c58a411ab06712", "generator_version": "3.0"}
{"id": "v3_val_00002185", "prompt": "Calculate: -4 * (-56) * (-1) * 459", "solution_steps": ["Multiply: -4 * (-56) = 224", "Multiply: 224 * (-1) = -224", "Multiply: -224 * 459 = -102816"], "final_answer": "-102816", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-56) * (-1) * 459", "variable": null, "family": "expression_3op", "shape": "(* (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -56, \"c\": -1, \"d\": 459}", "seed": "18432902595585436878", "semantic_fingerprint": "sha256:423ceb50b28cdabf7592b787b31f34e5bce461d52ee2c29ee5ee5281f454d7f6", "generator_version": "3.0"}
{"id": "v3_val_00002186", "prompt": "Evaluate: (879 * 4 - (2 - (-5))) * (0 / 9)", "solution_steps": ["Multiply: 879 * 4 = 3516", "Subtract: 2 - (-5) = 7", "Subtract: 3516 - 7 = 3509", "Divide: 0 / 9 = 0", "Multiply: 3509 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(879 * 4 - (2 - (-5))) * (0 / 9)", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 879, \"b\": 4, \"c\": 2, \"d\": -5, \"e\": 0, \"f\": 9}", "seed": "8053929946093578176", "semantic_fingerprint": "sha256:22bdce885c1763800499994a7a454239666fc719279963fcd8aa2245a9182523", "generator_version": "3.0"}
{"id": "v3_val_00002187", "prompt": "Calculate: -35 * 5", "solution_steps": ["Multiply: -35 * 5 = -175"], "final_answer": "-175", "answer_type": "integer", "kind": "expression", "math_text": "-35 * 5", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 5}", "seed": "9671898699285747782", "semantic_fingerprint": "sha256:0afab55f8657de04ca489f7eade0f56b32cd7a91977a6463221ef6e4168eb6c1", "generator_version": "3.0"}
{"id": "v3_val_00002188", "prompt": "Calculate: -19 - (9 + 2)", "solution_steps": ["Add: 9 + 2 = 11", "Subtract: -19 - 11 = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "expression", "math_text": "-19 - (9 + 2)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 9, \"c\": 2}", "seed": "10347386634344333660", "semantic_fingerprint": "sha256:c55a72183da3ec20d1094301190d60f6c0a4d7ee8aa559a8f3d92868196515f7", "generator_version": "3.0"}
{"id": "v3_val_00002189", "prompt": "Calculate: 65 / (-4)", "solution_steps": ["Divide: 65 / (-4) = -65/4"], "final_answer": "-65/4", "answer_type": "rational", "kind": "expression", "math_text": "65 / (-4)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -4}", "seed": "14039708490873073607", "semantic_fingerprint": "sha256:d1fc3ef596c72314eced5a2013c66420d5bacf1c84d1d04c49c8f2d799f6c980", "generator_version": "3.0"}
{"id": "v3_val_00002190", "prompt": "What is -418 + 989 / 30?", "solution_steps": ["Divide: 989 / 30 = 989/30", "Add: -418 + 989/30 = -11551/30"], "final_answer": "-11551/30", "answer_type": "rational", "kind": "expression", "math_text": "-418 + 989 / 30", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -418, \"b\": 989, \"c\": 30}", "seed": "6848002342840819807", "semantic_fingerprint": "sha256:c6ac6356223a68058367765bfc28cdf812ea5cb5f1ad7623bd6184264137cb8c", "generator_version": "3.0"}
{"id": "v3_val_00002191", "prompt": "Calculate: -96 - (-99) / (-3) / (-27)", "solution_steps": ["Divide: -99 / (-3) = 33", "Divide: 33 / (-27) = -11/9", "Subtract: -96 - (-11/9) = -853/9"], "final_answer": "-853/9", "answer_type": "rational", "kind": "expression", "math_text": "-96 - (-99) / (-3) / (-27)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -99, \"c\": -3, \"d\": -27}", "seed": "16862972294080705642", "semantic_fingerprint": "sha256:75d2162d544d5fa8da590be613e73f6a9f9057eda335e2eb996229af9df532b7", "generator_version": "3.0"}
{"id": "v3_val_00002192", "prompt": "Solve for x: 9(x + 7) = x", "solution_steps": ["Expand: 9x + 63 = x", "Subtract x from both sides: 8x + 63 = 0", "Subtract 63 from both sides: 8x = -63", "Divide both sides by 8: x = -63/8"], "final_answer": "-63/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 7) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7}", "seed": "17728984958925295971", "semantic_fingerprint": "sha256:41eb70de2c40e6ab899ad37e720e6730cbc20bf27eb3c1d4beb56da7b0e9a4aa", "generator_version": "3.0"}
{"id": "v3_val_00002193", "prompt": "What is (9 + (-2)) * (758 / (-107 / (-35)))?", "solution_steps": ["Add: 9 + (-2) = 7", "Divide: -107 / (-35) = 107/35", "Divide: 758 / (107/35) = 26530/107", "Multiply: 7 * (26530/107) = 185710/107"], "final_answer": "185710/107", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-2)) * (758 / (-107 / (-35)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -2, \"c\": 758, \"d\": -107, \"e\": -35}", "seed": "17735440904650966666", "semantic_fingerprint": "sha256:c3a42686875cfe8e4511446747705954a7187e1b19473c9b928a3d9b2fc3173c", "generator_version": "3.0"}
{"id": "v3_val_00002194", "prompt": "Compute: (82 - (-5)) * 0 + (8 - 0)", "solution_steps": ["Subtract: 82 - (-5) = 87", "Multiply: 87 * 0 = 0", "Subtract: 8 - 0 = 8", "Add: 0 + 8 = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "(82 - (-5)) * 0 + (8 - 0)", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -5, \"c\": 0, \"d\": 8, \"e\": 0}", "seed": "2351901570202278040", "semantic_fingerprint": "sha256:e33224bcb05a0d6e9354d98af2a95522d7af6b66ce1dcde0177af6be6c234c63", "generator_version": "3.0"}
{"id": "v3_val_00002195", "prompt": "Find x: 10x + 484 = -8(x + 42) + 712", "solution_steps": ["Expand: 10x + 484 = -8x - 336 + 712", "Combine constants: 10x + 484 = -8x + 376", "Add 8x to both sides: 18x + 484 = 376", "Subtract 484 from both sides: 18x = -108", "Divide both sides by 18: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 484 = -8(x + 42) + 712", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 484, \"c\": -8, \"d\": 42, \"f\": 712, \"x\": -6}", "seed": "15841163311501255416", "semantic_fingerprint": "sha256:460e52a2aad25746e024b9807ab7823d701f93c9fede4884281c3963f6f821ab", "generator_version": "3.0"}
{"id": "v3_val_00002196", "prompt": "What is -737 + (-241)?", "solution_steps": ["Add: -737 + (-241) = -978"], "final_answer": "-978", "answer_type": "integer", "kind": "expression", "math_text": "-737 + (-241)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -737, \"b\": -241}", "seed": "18280857240640358135", "semantic_fingerprint": "sha256:8d7eca4ea2ce7d16cae3fe739eef79e29c008ef1c65f78a5cc12060f4ade0068", "generator_version": "3.0"}
{"id": "v3_val_00002197", "prompt": "Solve for x: 11(x + 2) - 436 = -2(x - 3) - 290", "solution_steps": ["Expand: 11x + 22 - 436 = -2(x - 3) - 290", "Expand: 11x + 22 - 436 = -2x + 6 - 290", "Combine constants: 11x - 414 = -2x + 6 - 290", "Combine constants: 11x - 414 = -2x - 284", "Add 2x to both sides: 13x - 414 = -284", "Add 414 to both sides: 13x = 130", "Divide both sides by 13: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 2) - 436 = -2(x - 3) - 290", "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\": 436, \"d\": -2, \"e\": 3, \"g\": -290, \"x\": 10}", "seed": "5036559150853316103", "semantic_fingerprint": "sha256:c42a8cd392fcc8fc0a47288d51ea085dcfeeb6f9d92deabbcc41999d954abf38", "generator_version": "3.0"}
{"id": "v3_val_00002198", "prompt": "What is -3 - (-67 + 8) + (-68 + 555)?", "solution_steps": ["Add: -67 + 8 = -59", "Subtract: -3 - (-59) = 56", "Add: -68 + 555 = 487", "Add: 56 + 487 = 543"], "final_answer": "543", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-67 + 8) + (-68 + 555)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -67, \"c\": 8, \"d\": -68, \"e\": 555}", "seed": "9474244141668835077", "semantic_fingerprint": "sha256:2c68d1a56fd25e91997f5f8efe4a0b526e39084a08ace67ecda22f857f750d3b", "generator_version": "3.0"}
{"id": "v3_val_00002199", "prompt": "Compute: 185 / ((11 + 9) * (-63 / (-3 / 777)))", "solution_steps": ["Add: 11 + 9 = 20", "Divide: -3 / 777 = -1/259", "Divide: -63 / (-1/259) = 16317", "Multiply: 20 * 16317 = 326340", "Divide: 185 / 326340 = 1/1764"], "final_answer": "1/1764", "answer_type": "rational", "kind": "expression", "math_text": "185 / ((11 + 9) * (-63 / (-3 / 777)))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (+ n n) (/ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 185, \"b\": 11, \"c\": 9, \"d\": -63, \"e\": -3, \"f\": 777}", "seed": "7302830735385387405", "semantic_fingerprint": "sha256:fe8beb6171be595a52043e2ef61f62fa4b59f144b937c72152f3c74e3074d421", "generator_version": "3.0"}
{"id": "v3_val_00002200", "prompt": "Solve for x: 4(x - 97) - 5 = x - 73", "solution_steps": ["Expand: 4x - 388 - 5 = x - 73", "Combine constants: 4x - 393 = x - 73", "Subtract x from both sides: 3x - 393 = -73", "Add 393 to both sides: 3x = 320", "Divide both sides by 3: x = 320/3"], "final_answer": "320/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 97) - 5 = x - 73", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 97, \"c\": 5, \"d\": 73}", "seed": "15822488538776109439", "semantic_fingerprint": "sha256:5422115929c1d9743f59aa579a3730d3d6905c79e51f8e27946ef3b85bcac0c4", "generator_version": "3.0"}
{"id": "v3_val_00002201", "prompt": "Compute: -679 + (-95 + (88 + 75) + 0)", "solution_steps": ["Add: 88 + 75 = 163", "Add: -95 + 163 = 68", "Add: 68 + 0 = 68", "Add: -679 + 68 = -611"], "final_answer": "-611", "answer_type": "integer", "kind": "expression", "math_text": "-679 + (-95 + (88 + 75) + 0)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -679, \"b\": -95, \"c\": 88, \"d\": 75, \"e\": 0}", "seed": "5753322582319729685", "semantic_fingerprint": "sha256:e6519f5542cbd8201b1a65919971072d7738718200d65dc7e1805903940aa98b", "generator_version": "3.0"}
{"id": "v3_val_00002202", "prompt": "Solve for x: 7(x + 1) + 965 = 6(x + 165)", "solution_steps": ["Expand: 7x + 7 + 965 = 6(x + 165)", "Expand: 7x + 7 + 965 = 6x + 990", "Combine constants: 7x + 972 = 6x + 990", "Subtract 6x from both sides: x + 972 = 990", "Subtract 972 from both sides: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 1) + 965 = 6(x + 165)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 6, \"d\": 165, \"f\": 965, \"x\": 18}", "seed": "1754414565711321732", "semantic_fingerprint": "sha256:8d1cd32860e180e8ff416d4274fb47d26b9dc5cced203dc9dbc47363b27aaf50", "generator_version": "3.0"}
{"id": "v3_val_00002203", "prompt": "What is -44 / (-91)?", "solution_steps": ["Divide: -44 / (-91) = 44/91"], "final_answer": "44/91", "answer_type": "rational", "kind": "expression", "math_text": "-44 / (-91)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -91}", "seed": "11223054111887455210", "semantic_fingerprint": "sha256:b929321ab497387c66da0ae9083f9b72756306ece5b06dcc630cd86c8097e767", "generator_version": "3.0"}
{"id": "v3_val_00002204", "prompt": "Evaluate: -4 - (-72) + (83 + (-1)) + (-757)", "solution_steps": ["Subtract: -4 - (-72) = 68", "Add: 83 + (-1) = 82", "Add: 68 + 82 = 150", "Add: 150 + (-757) = -607"], "final_answer": "-607", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-72) + (83 + (-1)) + (-757)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -72, \"c\": 83, \"d\": -1, \"e\": -757}", "seed": "16310732977548746094", "semantic_fingerprint": "sha256:f02ea92b87be1da3106193cd466cd640a3f8a8b60604a76588e47c4f4247327a", "generator_version": "3.0"}
{"id": "v3_val_00002205", "prompt": "Compute: (842 + (-92)) * (-1 + (8 + (-849)))", "solution_steps": ["Add: 842 + (-92) = 750", "Add: 8 + (-849) = -841", "Add: -1 + (-841) = -842", "Multiply: 750 * (-842) = -631500"], "final_answer": "-631500", "answer_type": "integer", "kind": "expression", "math_text": "(842 + (-92)) * (-1 + (8 + (-849)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 842, \"b\": -92, \"c\": -1, \"d\": 8, \"e\": -849}", "seed": "13586420350666778612", "semantic_fingerprint": "sha256:154668daac829941019e72743b28ec0c70722d359a8dba0e1081c4dc3df77fbc", "generator_version": "3.0"}
{"id": "v3_val_00002206", "prompt": "Compute: -75 * 1", "solution_steps": ["Multiply: -75 * 1 = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "expression", "math_text": "-75 * 1", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 1}", "seed": "3495396935466740149", "semantic_fingerprint": "sha256:163a2e4d5156949150e1636defb054fff05a236e1d7548b2f2c37fc16af4492c", "generator_version": "3.0"}
{"id": "v3_val_00002207", "prompt": "What is (17 - 3) * (80 * 81) - (-23 + (-52))?", "solution_steps": ["Subtract: 17 - 3 = 14", "Multiply: 80 * 81 = 6480", "Multiply: 14 * 6480 = 90720", "Add: -23 + (-52) = -75", "Subtract: 90720 - (-75) = 90795"], "final_answer": "90795", "answer_type": "integer", "kind": "expression", "math_text": "(17 - 3) * (80 * 81) - (-23 + (-52))", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 3, \"c\": 80, \"d\": 81, \"e\": -23, \"f\": -52}", "seed": "8636703437232734614", "semantic_fingerprint": "sha256:a5fdc21950342cc0709dde90480b0bb9b2db0ce38dbfb296b53dc3e730e1f55d", "generator_version": "3.0"}
{"id": "v3_val_00002208", "prompt": "Find x: 2(x - 471) + 918 = -6x", "solution_steps": ["Expand: 2x - 942 + 918 = -6x", "Combine constants: 2x - 24 = -6x", "Add 6x to both sides: 8x - 24 = 0", "Add 24 to both sides: 8x = 24", "Divide both sides by 8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 471) + 918 = -6x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 471, \"c\": -6, \"e\": 918, \"x\": 3}", "seed": "6105414795016824172", "semantic_fingerprint": "sha256:14be639a03893a0959792dffca4310e54c95aec7d8f63a440f0d4a5b74ebb466", "generator_version": "3.0"}
{"id": "v3_val_00002209", "prompt": "Evaluate: (-7 - 3) * (59 / 25) / (-37 / 1)", "solution_steps": ["Subtract: -7 - 3 = -10", "Divide: 59 / 25 = 59/25", "Multiply: -10 * (59/25) = -118/5", "Divide: -37 / 1 = -37", "Divide: (-118/5) / (-37) = 118/185"], "final_answer": "118/185", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - 3) * (59 / 25) / (-37 / 1)", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": 59, \"d\": 25, \"e\": -37, \"f\": 1}", "seed": "12686069140681997183", "semantic_fingerprint": "sha256:3f6988e693f93c70b243d6fb41b0f19cbee7096ea29e85349b53780dd9ed9282", "generator_version": "3.0"}
{"id": "v3_val_00002210", "prompt": "Evaluate: -90 - 83", "solution_steps": ["Subtract: -90 - 83 = -173"], "final_answer": "-173", "answer_type": "integer", "kind": "expression", "math_text": "-90 - 83", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 83}", "seed": "2265901067100148338", "semantic_fingerprint": "sha256:f056b747769cb1ad23ca57ed11a18a3a549363bf61ffafc242ae5473e47655cd", "generator_version": "3.0"}
{"id": "v3_val_00002211", "prompt": "Calculate: -36 * (5 - (-24)) / 7", "solution_steps": ["Subtract: 5 - (-24) = 29", "Multiply: -36 * 29 = -1044", "Divide: -1044 / 7 = -1044/7"], "final_answer": "-1044/7", "answer_type": "rational", "kind": "expression", "math_text": "-36 * (5 - (-24)) / 7", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 5, \"c\": -24, \"d\": 7}", "seed": "12061472124934629618", "semantic_fingerprint": "sha256:d3a76615131ffbd15ec78f11b0ddb46b7f0042677dfe7c0cd11dc0ae3485085a", "generator_version": "3.0"}
{"id": "v3_val_00002212", "prompt": "Compute: -562 / (-3)", "solution_steps": ["Divide: -562 / (-3) = 562/3"], "final_answer": "562/3", "answer_type": "rational", "kind": "expression", "math_text": "-562 / (-3)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -562, \"b\": -3}", "seed": "1614696657466828526", "semantic_fingerprint": "sha256:6aad9697da0e9e0b0f60cce9d60c3f07669d4650f02e026a1cdd153c99170459", "generator_version": "3.0"}
{"id": "v3_val_00002213", "prompt": "Calculate: 37 - (9 - 9 * 33)", "solution_steps": ["Multiply: 9 * 33 = 297", "Subtract: 9 - 297 = -288", "Subtract: 37 - (-288) = 325"], "final_answer": "325", "answer_type": "integer", "kind": "expression", "math_text": "37 - (9 - 9 * 33)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 9, \"c\": 9, \"d\": 33}", "seed": "17516259440604901769", "semantic_fingerprint": "sha256:b3aa2b79267d7f104190c9a0905be924da9ce374a60e845c6cc7e2b3b024dbb7", "generator_version": "3.0"}
{"id": "v3_val_00002214", "prompt": "Compute: 80 * (40 * (34 / 712))", "solution_steps": ["Divide: 34 / 712 = 17/356", "Multiply: 40 * (17/356) = 170/89", "Multiply: 80 * (170/89) = 13600/89"], "final_answer": "13600/89", "answer_type": "rational", "kind": "expression", "math_text": "80 * (40 * (34 / 712))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 40, \"c\": 34, \"d\": 712}", "seed": "15366218389606160951", "semantic_fingerprint": "sha256:6221d3cd1f99dc96621df46a95f9674f6e799fa8f33758a7f677b7da24940f7e", "generator_version": "3.0"}
{"id": "v3_val_00002215", "prompt": "What is 5 * (-3 * (8 * 10) + 1)?", "solution_steps": ["Multiply: 8 * 10 = 80", "Multiply: -3 * 80 = -240", "Add: -240 + 1 = -239", "Multiply: 5 * (-239) = -1195"], "final_answer": "-1195", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-3 * (8 * 10) + 1)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (* n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -3, \"c\": 8, \"d\": 10, \"e\": 1}", "seed": "10407311160528079120", "semantic_fingerprint": "sha256:d321a5810fb4c463f0cc89811dbd1903d9c438ea12afa6026d443fb8351ef5f5", "generator_version": "3.0"}
{"id": "v3_val_00002216", "prompt": "Solve for x: 8(x + 1) + 81 = 5x + 7", "solution_steps": ["Expand: 8x + 8 + 81 = 5x + 7", "Combine constants: 8x + 89 = 5x + 7", "Subtract 5x from both sides: 3x + 89 = 7", "Subtract 89 from both sides: 3x = -82", "Divide both sides by 3: x = -82/3"], "final_answer": "-82/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 1) + 81 = 5x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 81, \"d\": 5, \"e\": 7}", "seed": "6514437216424681610", "semantic_fingerprint": "sha256:9eeef79ed3b542d42a457a53c0ce07b71ef73c0029c3adca3436e7ec69df4d9d", "generator_version": "3.0"}
{"id": "v3_val_00002217", "prompt": "Compute: -8 - (-4) - (-789) + 490 * (29 + 363)", "solution_steps": ["Subtract: -8 - (-4) = -4", "Subtract: -4 - (-789) = 785", "Add: 29 + 363 = 392", "Multiply: 490 * 392 = 192080", "Add: 785 + 192080 = 192865"], "final_answer": "192865", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-4) - (-789) + 490 * (29 + 363)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -4, \"c\": -789, \"d\": 490, \"e\": 29, \"f\": 363}", "seed": "4249762785646947957", "semantic_fingerprint": "sha256:b276d3c6a685b1f45b38344f19c500a1b049055a358c713a4fb925243b783598", "generator_version": "3.0"}
{"id": "v3_val_00002218", "prompt": "Compute: 20 * (-33 + (-12)) - (74 * 60 - (-99))", "solution_steps": ["Add: -33 + (-12) = -45", "Multiply: 20 * (-45) = -900", "Multiply: 74 * 60 = 4440", "Subtract: 4440 - (-99) = 4539", "Subtract: -900 - 4539 = -5439"], "final_answer": "-5439", "answer_type": "integer", "kind": "expression", "math_text": "20 * (-33 + (-12)) - (74 * 60 - (-99))", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n n)) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": -33, \"c\": -12, \"d\": 74, \"e\": 60, \"f\": -99}", "seed": "14311409092461922389", "semantic_fingerprint": "sha256:f6d26f0047456bf05e0b0af416eba8845323597c5e75487f8b0728de2bdbbd5b", "generator_version": "3.0"}
{"id": "v3_val_00002219", "prompt": "Calculate: 0 / (-492 - 25) - (-5)", "solution_steps": ["Subtract: -492 - 25 = -517", "Divide: 0 / (-517) = 0", "Subtract: 0 - (-5) = 5"], "final_answer": "5", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-492 - 25) - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -492, \"c\": 25, \"d\": -5}", "seed": "8316524346972452439", "semantic_fingerprint": "sha256:7fadcb0c064f7b1d7dae09f844966421bc1d79e429235d02d2ec8b7b3da817e0", "generator_version": "3.0"}
{"id": "v3_val_00002220", "prompt": "Calculate: (-2 + (-78 - 2)) * (9 + (-20))", "solution_steps": ["Subtract: -78 - 2 = -80", "Add: -2 + (-80) = -82", "Add: 9 + (-20) = -11", "Multiply: -82 * (-11) = 902"], "final_answer": "902", "answer_type": "integer", "kind": "expression", "math_text": "(-2 + (-78 - 2)) * (9 + (-20))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -78, \"c\": 2, \"d\": 9, \"e\": -20}", "seed": "14668436475280727807", "semantic_fingerprint": "sha256:77c510a16f64c107e025a4536f61b02f47d02f244802523c41a497194ad29699", "generator_version": "3.0"}
{"id": "v3_val_00002221", "prompt": "Solve the equation -2(x - 7) + 4 = x + 15 for x.", "solution_steps": ["Expand: -2x + 14 + 4 = x + 15", "Combine constants: -2x + 18 = x + 15", "Subtract x from both sides: -3x + 18 = 15", "Subtract 18 from both sides: -3x = -3", "Divide both sides by -3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 7) + 4 = x + 15", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 4, \"e\": 15, \"x\": 1}", "seed": "1565744601367496441", "semantic_fingerprint": "sha256:b770ae624f1e70d6bb6c6a6f79d827606059da1da56ff0a7ad920992091f0f43", "generator_version": "3.0"}
{"id": "v3_val_00002222", "prompt": "Calculate: 96 - (25 + (-902)) * (-5) - (-42 - 6)", "solution_steps": ["Add: 25 + (-902) = -877", "Multiply: -877 * (-5) = 4385", "Subtract: 96 - 4385 = -4289", "Subtract: -42 - 6 = -48", "Subtract: -4289 - (-48) = -4241"], "final_answer": "-4241", "answer_type": "integer", "kind": "expression", "math_text": "96 - (25 + (-902)) * (-5) - (-42 - 6)", "variable": null, "family": "expression_5op", "shape": "(- (- n (* (+ n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 25, \"c\": -902, \"d\": -5, \"e\": -42, \"f\": 6}", "seed": "12105227215945772947", "semantic_fingerprint": "sha256:bd026f1ace81a0f1a0475b9d097ef838aae0a01853490721986d841348d4c112", "generator_version": "3.0"}
{"id": "v3_val_00002223", "prompt": "Find x: x + 6 = 7x - 27", "solution_steps": ["Subtract 7x from both sides: -6x + 6 = -27", "Subtract 6 from both sides: -6x = -33", "Divide both sides by -6: x = 11/2"], "final_answer": "11/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6 = 7x - 27", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 27}", "seed": "8407483612889745961", "semantic_fingerprint": "sha256:07d508aebe66a1861e3227089eec27254ba6b3cca88f1eca69959a2f86eb35bf", "generator_version": "3.0"}
{"id": "v3_val_00002224", "prompt": "Solve the equation 5x + 9 = -10(x - 2) - 116 for x.", "solution_steps": ["Expand: 5x + 9 = -10x + 20 - 116", "Combine constants: 5x + 9 = -10x - 96", "Add 10x to both sides: 15x + 9 = -96", "Subtract 9 from both sides: 15x = -105", "Divide both sides by 15: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 9 = -10(x - 2) - 116", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": -10, \"d\": 2, \"f\": -116, \"x\": -7}", "seed": "10131734816326083827", "semantic_fingerprint": "sha256:9f614db72d872a4bcd48f82ec99b279b469dba01917f93f29bef2ac11a617542", "generator_version": "3.0"}
{"id": "v3_val_00002225", "prompt": "What is (-9 + (-18)) / 129?", "solution_steps": ["Add: -9 + (-18) = -27", "Divide: -27 / 129 = -9/43"], "final_answer": "-9/43", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + (-18)) / 129", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -18, \"c\": 129}", "seed": "8185766248632836616", "semantic_fingerprint": "sha256:345cd356b6518d1aea876201cce942f664f8e240a32cbd67bb1f1e85ae3d3c48", "generator_version": "3.0"}
{"id": "v3_val_00002226", "prompt": "Calculate: -28 / (5 * (-541) - (-325))", "solution_steps": ["Multiply: 5 * (-541) = -2705", "Subtract: -2705 - (-325) = -2380", "Divide: -28 / (-2380) = 1/85"], "final_answer": "1/85", "answer_type": "rational", "kind": "expression", "math_text": "-28 / (5 * (-541) - (-325))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 5, \"c\": -541, \"d\": -325}", "seed": "4104308375390408715", "semantic_fingerprint": "sha256:61f5bea3a7b4ee70c9d4105f802a0285a5bb83625d09bdf873ac2a4430ca67d2", "generator_version": "3.0"}
{"id": "v3_val_00002227", "prompt": "What is -89 + (4 + (-59)) + (-465) + (-31)?", "solution_steps": ["Add: 4 + (-59) = -55", "Add: -89 + (-55) = -144", "Add: -144 + (-465) = -609", "Add: -609 + (-31) = -640"], "final_answer": "-640", "answer_type": "integer", "kind": "expression", "math_text": "-89 + (4 + (-59)) + (-465) + (-31)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 4, \"c\": -59, \"d\": -465, \"e\": -31}", "seed": "7589498432082438371", "semantic_fingerprint": "sha256:c1779d19f4b6fb58098d90e699da74475cc000820f00db9134b07866612c9184", "generator_version": "3.0"}
{"id": "v3_val_00002228", "prompt": "Solve the equation -9(x + 97) - 7 = -8(x + 6) - 846 for x.", "solution_steps": ["Expand: -9x - 873 - 7 = -8(x + 6) - 846", "Expand: -9x - 873 - 7 = -8x - 48 - 846", "Combine constants: -9x - 880 = -8x - 48 - 846", "Combine constants: -9x - 880 = -8x - 894", "Add 8x to both sides: -x - 880 = -894", "Add 880 to both sides: -x = -14", "Divide both sides by -1: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 97) - 7 = -8(x + 6) - 846", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 97, \"c\": 7, \"d\": -8, \"e\": 6, \"g\": -846, \"x\": 14}", "seed": "9018170417269316275", "semantic_fingerprint": "sha256:6b28048324cd33438396a76938c9e2d542b18fb7cd7d640654038352020fcca0", "generator_version": "3.0"}
{"id": "v3_val_00002229", "prompt": "What is -66 * (-4)?", "solution_steps": ["Multiply: -66 * (-4) = 264"], "final_answer": "264", "answer_type": "integer", "kind": "expression", "math_text": "-66 * (-4)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -4}", "seed": "4540742917433263234", "semantic_fingerprint": "sha256:65dd8d9c2044a75888390aac31bae8a5724f45c1d1023240241a2449653fd26f", "generator_version": "3.0"}
{"id": "v3_val_00002230", "prompt": "What is 209 / (-4)?", "solution_steps": ["Divide: 209 / (-4) = -209/4"], "final_answer": "-209/4", "answer_type": "rational", "kind": "expression", "math_text": "209 / (-4)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 209, \"b\": -4}", "seed": "976734876494110356", "semantic_fingerprint": "sha256:641ea456fdceb2ad9d7ab2b30c67dcd3ab2c40d2d271ed4e5213a432812b50b2", "generator_version": "3.0"}
{"id": "v3_val_00002231", "prompt": "What is (-81 + 7) * (538 - (-12))?", "solution_steps": ["Add: -81 + 7 = -74", "Subtract: 538 - (-12) = 550", "Multiply: -74 * 550 = -40700"], "final_answer": "-40700", "answer_type": "integer", "kind": "expression", "math_text": "(-81 + 7) * (538 - (-12))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 7, \"c\": 538, \"d\": -12}", "seed": "10635973123367484308", "semantic_fingerprint": "sha256:ab085a6238e96c5509df36c63e59f229ecf6d4e37070dbef9bb030b0ebcfa2aa", "generator_version": "3.0"}
{"id": "v3_val_00002232", "prompt": "Evaluate: -94 + 3", "solution_steps": ["Add: -94 + 3 = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "expression", "math_text": "-94 + 3", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 3}", "seed": "4992644237914982729", "semantic_fingerprint": "sha256:eeb2854568e9ed2bec684bd5b122d0c855718a4b386159a770481f6687263f2c", "generator_version": "3.0"}
{"id": "v3_val_00002233", "prompt": "Find x: -9x = 2x - 198", "solution_steps": ["Subtract 2x from both sides: -11x = -198", "Divide both sides by -11: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 2x - 198", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"d\": -198, \"x\": 18}", "seed": "903371425601246632", "semantic_fingerprint": "sha256:0100e615ccdaaefb93431ee0f06825e30c1337c10486eab12f3654c2484c6e83", "generator_version": "3.0"}
{"id": "v3_val_00002234", "prompt": "Evaluate: (-423 - 966) * (9 - 2 / (0 - 65))", "solution_steps": ["Subtract: -423 - 966 = -1389", "Subtract: 0 - 65 = -65", "Divide: 2 / (-65) = -2/65", "Subtract: 9 - (-2/65) = 587/65", "Multiply: -1389 * (587/65) = -815343/65"], "final_answer": "-815343/65", "answer_type": "rational", "kind": "expression", "math_text": "(-423 - 966) * (9 - 2 / (0 - 65))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- n (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -423, \"b\": 966, \"c\": 9, \"d\": 2, \"e\": 0, \"f\": 65}", "seed": "6757480352991661555", "semantic_fingerprint": "sha256:8724ae3be2b02d10f13c28bc132c2d3405a84524299bd0ddb0d6c69a4e27a9cf", "generator_version": "3.0"}
{"id": "v3_val_00002235", "prompt": "Calculate: -6 * (3 / (-96))", "solution_steps": ["Divide: 3 / (-96) = -1/32", "Multiply: -6 * (-1/32) = 3/16"], "final_answer": "3/16", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (3 / (-96))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": -96}", "seed": "9843116741100571971", "semantic_fingerprint": "sha256:2e432061e1da8b4e1cbb41c078a89609487ea944e548b480d37e10292d6be1f7", "generator_version": "3.0"}
{"id": "v3_val_00002236", "prompt": "Solve the equation x - 180 = 11x for x.", "solution_steps": ["Subtract 11x from both sides: -10x - 180 = 0", "Add 180 to both sides: -10x = 180", "Divide both sides by -10: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 180 = 11x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": -180, \"x\": -18}", "seed": "13205132084993675187", "semantic_fingerprint": "sha256:acd7dc73c7258d485e1798e9b7259f70735f1aefecfd41e714c0e7192600803e", "generator_version": "3.0"}
{"id": "v3_val_00002237", "prompt": "What value of x satisfies 7x + 4 = -4(x + 63) + 410?", "solution_steps": ["Expand: 7x + 4 = -4x - 252 + 410", "Combine constants: 7x + 4 = -4x + 158", "Add 4x to both sides: 11x + 4 = 158", "Subtract 4 from both sides: 11x = 154", "Divide both sides by 11: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 4 = -4(x + 63) + 410", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": -4, \"d\": 63, \"f\": 410, \"x\": 14}", "seed": "15584481211917950970", "semantic_fingerprint": "sha256:7aea5446245f62b391a5aa863d212eb34ecc60a9cbf55083220a14cf3b562ea6", "generator_version": "3.0"}
{"id": "v3_val_00002238", "prompt": "Solve for x: -2(x - 6) = 10(x - 254)", "solution_steps": ["Expand: -2x + 12 = 10(x - 254)", "Expand: -2x + 12 = 10x - 2540", "Subtract 10x from both sides: -12x + 12 = -2540", "Subtract 12 from both sides: -12x = -2552", "Divide both sides by -12: x = 638/3"], "final_answer": "638/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 6) = 10(x - 254)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": 10, \"d\": 254}", "seed": "13199584102969964303", "semantic_fingerprint": "sha256:0bbd3e3e0ac30a86a4e76e21928e8054f1b8bf38d8ed18d705d5181cf11122d9", "generator_version": "3.0"}
{"id": "v3_val_00002239", "prompt": "Compute: 2 - (-332) - (-43) + 17", "solution_steps": ["Subtract: 2 - (-332) = 334", "Subtract: 334 - (-43) = 377", "Add: 377 + 17 = 394"], "final_answer": "394", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-332) - (-43) + 17", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -332, \"c\": -43, \"d\": 17}", "seed": "7739478883638077138", "semantic_fingerprint": "sha256:5e48f77bee44d6eb59dc89214443c10ff3e085ca6246c76ba6cf7dddc2f187b1", "generator_version": "3.0"}
{"id": "v3_val_00002240", "prompt": "Compute: 0 + 825", "solution_steps": ["Add: 0 + 825 = 825"], "final_answer": "825", "answer_type": "integer", "kind": "expression", "math_text": "0 + 825", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 825}", "seed": "1372196900274630405", "semantic_fingerprint": "sha256:0e2a5b4956774725fdd159fbd80976c32f988037b13d3cc16ef0cb9ef1ee1ff9", "generator_version": "3.0"}
{"id": "v3_val_00002241", "prompt": "Solve the equation x = -12(x + 47) + 317 for x.", "solution_steps": ["Expand: x = -12x - 564 + 317", "Combine constants: x = -12x - 247", "Add 12x to both sides: 13x = -247", "Divide both sides by 13: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -12(x + 47) + 317", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 47, \"d\": 317, \"x\": -19}", "seed": "9179367112359771886", "semantic_fingerprint": "sha256:dff40ce266db92c446eb584b47ffb86f411ff6a3b6bdff28463a2c3809d41ebc", "generator_version": "3.0"}
{"id": "v3_val_00002242", "prompt": "Compute: -9 - (-112)", "solution_steps": ["Subtract: -9 - (-112) = 103"], "final_answer": "103", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-112)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -112}", "seed": "1973311447097023610", "semantic_fingerprint": "sha256:2ede18ae6ded7a44fa1135464844de36fdb095d43755bcf2eca27f954e215a6c", "generator_version": "3.0"}
{"id": "v3_val_00002243", "prompt": "Evaluate: 97 / ((-685 + 4) * 5 / (-40))", "solution_steps": ["Add: -685 + 4 = -681", "Multiply: -681 * 5 = -3405", "Divide: -3405 / (-40) = 681/8", "Divide: 97 / (681/8) = 776/681"], "final_answer": "776/681", "answer_type": "rational", "kind": "expression", "math_text": "97 / ((-685 + 4) * 5 / (-40))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -685, \"c\": 4, \"d\": 5, \"e\": -40}", "seed": "14571851444232861946", "semantic_fingerprint": "sha256:d1daabcaea461be3f95a407aa19817f948cc97831711a9fa13e9ad51d34c3047", "generator_version": "3.0"}
{"id": "v3_val_00002244", "prompt": "What is -7 * (-2) / (-95)?", "solution_steps": ["Multiply: -7 * (-2) = 14", "Divide: 14 / (-95) = -14/95"], "final_answer": "-14/95", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (-2) / (-95)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -2, \"c\": -95}", "seed": "17730321587817277851", "semantic_fingerprint": "sha256:f99027f08bbb34ed0b497a1a5c23820efe8d3c4c916c8499f07e938cd214802d", "generator_version": "3.0"}
{"id": "v3_val_00002245", "prompt": "Compute: (-67 - 9 / (-5)) * (-9 + 15 * 3)", "solution_steps": ["Divide: 9 / (-5) = -9/5", "Subtract: -67 - (-9/5) = -326/5", "Multiply: 15 * 3 = 45", "Add: -9 + 45 = 36", "Multiply: (-326/5) * 36 = -11736/5"], "final_answer": "-11736/5", "answer_type": "rational", "kind": "expression", "math_text": "(-67 - 9 / (-5)) * (-9 + 15 * 3)", "variable": null, "family": "expression_5op", "shape": "(* (- n (/ n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 9, \"c\": -5, \"d\": -9, \"e\": 15, \"f\": 3}", "seed": "11526493613857621431", "semantic_fingerprint": "sha256:b43ede86fb453fd6a22c890ba19c9434e2c7998bcf6ca16d4d134ac3eb48c8e0", "generator_version": "3.0"}
{"id": "v3_val_00002246", "prompt": "Compute: 78 + (-69 - 103)", "solution_steps": ["Subtract: -69 - 103 = -172", "Add: 78 + (-172) = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "expression", "math_text": "78 + (-69 - 103)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -69, \"c\": 103}", "seed": "8896356124074995754", "semantic_fingerprint": "sha256:79d32bb05aaeb3b036c4092cceccaf571bc3bc8b67987c9ba64519373a7ae922", "generator_version": "3.0"}
{"id": "v3_val_00002247", "prompt": "Find x: x + 79 = -4x - 89", "solution_steps": ["Add 4x to both sides: 5x + 79 = -89", "Subtract 79 from both sides: 5x = -168", "Divide both sides by 5: x = -168/5"], "final_answer": "-168/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 79 = -4x - 89", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -4, \"c\": 89}", "seed": "8956696255030446886", "semantic_fingerprint": "sha256:0297ea2633000693e7ef3a15032721f0b967d873cf4ce7bd28fec3d8a86971d4", "generator_version": "3.0"}
{"id": "v3_val_00002248", "prompt": "Find x: 8x = -48", "solution_steps": ["Divide both sides by 8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -48", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": -48, \"x\": -6}", "seed": "1283425219577082966", "semantic_fingerprint": "sha256:3b76874fcfad99f489fdd959821d955870168f805da700ae8d5aa24e9d2a98ad", "generator_version": "3.0"}
{"id": "v3_val_00002249", "prompt": "What value of x satisfies 10(x - 7) = 4x?", "solution_steps": ["Expand: 10x - 70 = 4x", "Subtract 4x from both sides: 6x - 70 = 0", "Add 70 to both sides: 6x = 70", "Divide both sides by 6: x = 35/3"], "final_answer": "35/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 7) = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 4}", "seed": "14177311808923187778", "semantic_fingerprint": "sha256:fb9f2fb1a0936d58453a054f7614996499d812425f6d53e7682981e98942d4d5", "generator_version": "3.0"}
{"id": "v3_val_00002250", "prompt": "Compute: (64 + (-84)) / (74 - 56)", "solution_steps": ["Add: 64 + (-84) = -20", "Subtract: 74 - 56 = 18", "Divide: -20 / 18 = -10/9"], "final_answer": "-10/9", "answer_type": "rational", "kind": "expression", "math_text": "(64 + (-84)) / (74 - 56)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -84, \"c\": 74, \"d\": 56}", "seed": "7532305753149525406", "semantic_fingerprint": "sha256:81326078939625656fcea4662a23c44c3953dd9c7c847812784589fc639a4333", "generator_version": "3.0"}
{"id": "v3_val_00002251", "prompt": "Calculate: 29 + (-52 / 6 - (-94))", "solution_steps": ["Divide: -52 / 6 = -26/3", "Subtract: -26/3 - (-94) = 256/3", "Add: 29 + 256/3 = 343/3"], "final_answer": "343/3", "answer_type": "rational", "kind": "expression", "math_text": "29 + (-52 / 6 - (-94))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -52, \"c\": 6, \"d\": -94}", "seed": "1363644069314539980", "semantic_fingerprint": "sha256:83e7e1125e73d44d24328a57b598b21b4b59bfbfae00241cfbfa63dd8e331a24", "generator_version": "3.0"}
{"id": "v3_val_00002252", "prompt": "Calculate: -9 * (-13 * 354)", "solution_steps": ["Multiply: -13 * 354 = -4602", "Multiply: -9 * (-4602) = 41418"], "final_answer": "41418", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-13 * 354)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -13, \"c\": 354}", "seed": "9609060150281020990", "semantic_fingerprint": "sha256:db99baccab116694465206489b83c4666457dd749b6328bc31eec4c70b60dc4f", "generator_version": "3.0"}
{"id": "v3_val_00002253", "prompt": "What is (-174 + (-65) - 3 - (549 - (-152))) * (-67)?", "solution_steps": ["Add: -174 + (-65) = -239", "Subtract: -239 - 3 = -242", "Subtract: 549 - (-152) = 701", "Subtract: -242 - 701 = -943", "Multiply: -943 * (-67) = 63181"], "final_answer": "63181", "answer_type": "integer", "kind": "expression", "math_text": "(-174 + (-65) - 3 - (549 - (-152))) * (-67)", "variable": null, "family": "expression_5op", "shape": "(* (- (- (+ n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -174, \"b\": -65, \"c\": 3, \"d\": 549, \"e\": -152, \"f\": -67}", "seed": "8863015205627661883", "semantic_fingerprint": "sha256:334e76fde186e36d0bc74adb95643be4f1920be275b440dece5e99dacaca817f", "generator_version": "3.0"}
{"id": "v3_val_00002254", "prompt": "What is -5 / (56 + (-86))?", "solution_steps": ["Add: 56 + (-86) = -30", "Divide: -5 / (-30) = 1/6"], "final_answer": "1/6", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (56 + (-86))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 56, \"c\": -86}", "seed": "10408434667733900856", "semantic_fingerprint": "sha256:a6f0ced77f164bc2901cbfa298a1b36cdb226f97cbf2e7452cdb4fd46d269a4d", "generator_version": "3.0"}
{"id": "v3_val_00002255", "prompt": "Find x: x - 197 = -11x + 82", "solution_steps": ["Add 11x to both sides: 12x - 197 = 82", "Add 197 to both sides: 12x = 279", "Divide both sides by 12: x = 93/4"], "final_answer": "93/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 197 = -11x + 82", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 197, \"b\": -11, \"c\": 82}", "seed": "9454706301776520296", "semantic_fingerprint": "sha256:e991b138b4a41e4bb7fcb96ec152900089b6116149b1b028db2ac14a672b21b0", "generator_version": "3.0"}
{"id": "v3_val_00002256", "prompt": "Calculate: 1 - 24 / 646", "solution_steps": ["Divide: 24 / 646 = 12/323", "Subtract: 1 - 12/323 = 311/323"], "final_answer": "311/323", "answer_type": "rational", "kind": "expression", "math_text": "1 - 24 / 646", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 24, \"c\": 646}", "seed": "9588581429634342243", "semantic_fingerprint": "sha256:19867a2c76a0e11295785760c1f0893e44ec94edd7119b092fb77407aba5e3a2", "generator_version": "3.0"}
{"id": "v3_val_00002257", "prompt": "Evaluate: 425 * (0 - 81)", "solution_steps": ["Subtract: 0 - 81 = -81", "Multiply: 425 * (-81) = -34425"], "final_answer": "-34425", "answer_type": "integer", "kind": "expression", "math_text": "425 * (0 - 81)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 425, \"b\": 0, \"c\": 81}", "seed": "6798411149393723660", "semantic_fingerprint": "sha256:7a525bb2000a03d06de52616103096f797b6dc12f7ef44b37cafbc0758c6d193", "generator_version": "3.0"}
{"id": "v3_val_00002258", "prompt": "Calculate: -428 / (-50)", "solution_steps": ["Divide: -428 / (-50) = 214/25"], "final_answer": "214/25", "answer_type": "rational", "kind": "expression", "math_text": "-428 / (-50)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -428, \"b\": -50}", "seed": "2675410257385179977", "semantic_fingerprint": "sha256:420b4d077753ac1261939d5a2bf8fbbc8d3dced84ab82f96532d2bd6ebf1285c", "generator_version": "3.0"}
{"id": "v3_val_00002259", "prompt": "Calculate: -69 / (79 / (-6))", "solution_steps": ["Divide: 79 / (-6) = -79/6", "Divide: -69 / (-79/6) = 414/79"], "final_answer": "414/79", "answer_type": "rational", "kind": "expression", "math_text": "-69 / (79 / (-6))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 79, \"c\": -6}", "seed": "17796774094701480110", "semantic_fingerprint": "sha256:efa2f53662f4cd6447d5f9c1ba6d6687a25fd5a0f6f9578f073cc0fc63f5fd18", "generator_version": "3.0"}
{"id": "v3_val_00002260", "prompt": "Calculate: -3 * 0", "solution_steps": ["Multiply: -3 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 0}", "seed": "14654850665172331079", "semantic_fingerprint": "sha256:96c0a309c9cbf3ef155d4de325f825214c4708642e7012036995553aff250619", "generator_version": "3.0"}
{"id": "v3_val_00002261", "prompt": "What is -76 + (-44 - 7)?", "solution_steps": ["Subtract: -44 - 7 = -51", "Add: -76 + (-51) = -127"], "final_answer": "-127", "answer_type": "integer", "kind": "expression", "math_text": "-76 + (-44 - 7)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": -44, \"c\": 7}", "seed": "269526653023902574", "semantic_fingerprint": "sha256:047765c95c5e4110ae1f5ed53b1b7466864c5f462d6cc0f37adb02ab0229b7f2", "generator_version": "3.0"}
{"id": "v3_val_00002262", "prompt": "What value of x satisfies -8(x + 99) = -5(x - 4) - 72?", "solution_steps": ["Expand: -8x - 792 = -5(x - 4) - 72", "Expand: -8x - 792 = -5x + 20 - 72", "Combine constants: -8x - 792 = -5x - 52", "Add 5x to both sides: -3x - 792 = -52", "Add 792 to both sides: -3x = 740", "Divide both sides by -3: x = -740/3"], "final_answer": "-740/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 99) = -5(x - 4) - 72", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 99, \"c\": -5, \"d\": 4, \"e\": 72}", "seed": "7554431543793351968", "semantic_fingerprint": "sha256:a7cd722d1a6bdbe51078fc945de97ba2303e0eda939779f4c954461b556ac1a5", "generator_version": "3.0"}
{"id": "v3_val_00002263", "prompt": "Solve for x: 5x = x + 429", "solution_steps": ["Subtract x from both sides: 4x = 429", "Divide both sides by 4: x = 429/4"], "final_answer": "429/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = x + 429", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 429}", "seed": "13190366220141325825", "semantic_fingerprint": "sha256:10973f4faac463f1788c1e006b0748f6fe7d0e85f33bff64e705847b06c2fe88", "generator_version": "3.0"}
{"id": "v3_val_00002264", "prompt": "Evaluate: -836 + (-625 + (-21 - (-51)))", "solution_steps": ["Subtract: -21 - (-51) = 30", "Add: -625 + 30 = -595", "Add: -836 + (-595) = -1431"], "final_answer": "-1431", "answer_type": "integer", "kind": "expression", "math_text": "-836 + (-625 + (-21 - (-51)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -836, \"b\": -625, \"c\": -21, \"d\": -51}", "seed": "4169869534522873117", "semantic_fingerprint": "sha256:7c1730e0f704c9342a91acdc3f3f9114351daf80d70fc7b852f9e16808bf8323", "generator_version": "3.0"}
{"id": "v3_val_00002265", "prompt": "What value of x satisfies -5x + 2 = 10(x + 90) - 853?", "solution_steps": ["Expand: -5x + 2 = 10x + 900 - 853", "Combine constants: -5x + 2 = 10x + 47", "Subtract 10x from both sides: -15x + 2 = 47", "Subtract 2 from both sides: -15x = 45", "Divide both sides by -15: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 2 = 10(x + 90) - 853", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 10, \"d\": 90, \"f\": -853, \"x\": -3}", "seed": "9925902446768398656", "semantic_fingerprint": "sha256:3ea88931159be4b178cb3db87c1ccd5b2a6b6022f8b51019d1186466fdaa78f3", "generator_version": "3.0"}
{"id": "v3_val_00002266", "prompt": "Compute: -23 / 3", "solution_steps": ["Divide: -23 / 3 = -23/3"], "final_answer": "-23/3", "answer_type": "rational", "kind": "expression", "math_text": "-23 / 3", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 3}", "seed": "4947112871189628248", "semantic_fingerprint": "sha256:a36f26a04c378e8dc87affca78081b40d9ae69163c9d6da4a3be007f3f5a41d2", "generator_version": "3.0"}
{"id": "v3_val_00002267", "prompt": "Solve for x: 11(x + 29) - 81 = 12(x + 5)", "solution_steps": ["Expand: 11x + 319 - 81 = 12(x + 5)", "Expand: 11x + 319 - 81 = 12x + 60", "Combine constants: 11x + 238 = 12x + 60", "Subtract 12x from both sides: -x + 238 = 60", "Subtract 238 from both sides: -x = -178", "Divide both sides by -1: x = 178"], "final_answer": "178", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 29) - 81 = 12(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 29, \"c\": 81, \"d\": 12, \"e\": 5}", "seed": "17561755165416257696", "semantic_fingerprint": "sha256:695c5c4e7472ed6e4ce7677eefec265213d5831f64d2a296ab64fcb2315b74e5", "generator_version": "3.0"}
{"id": "v3_val_00002268", "prompt": "Compute: 95 * (-999 * 9)", "solution_steps": ["Multiply: -999 * 9 = -8991", "Multiply: 95 * (-8991) = -854145"], "final_answer": "-854145", "answer_type": "integer", "kind": "expression", "math_text": "95 * (-999 * 9)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -999, \"c\": 9}", "seed": "3660957405302101518", "semantic_fingerprint": "sha256:0fe26a8163660ad5df364c2c7be0c668f633dab10f80278258db24fabb9d8f58", "generator_version": "3.0"}
{"id": "v3_val_00002269", "prompt": "What value of x satisfies 10(x + 1) - 59 = 5(x - 1) - 612?", "solution_steps": ["Expand: 10x + 10 - 59 = 5(x - 1) - 612", "Expand: 10x + 10 - 59 = 5x - 5 - 612", "Combine constants: 10x - 49 = 5x - 5 - 612", "Combine constants: 10x - 49 = 5x - 617", "Subtract 5x from both sides: 5x - 49 = -617", "Add 49 to both sides: 5x = -568", "Divide both sides by 5: x = -568/5"], "final_answer": "-568/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 1) - 59 = 5(x - 1) - 612", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 59, \"d\": 5, \"e\": 1, \"f\": 612}", "seed": "3942415390698278436", "semantic_fingerprint": "sha256:bd3792bf4f9a7ef1ea7872e4104e48f96097a61e039ed1908978ccda74d3488b", "generator_version": "3.0"}
{"id": "v3_val_00002270", "prompt": "What is (0 + 208) * (-448) - (-66)?", "solution_steps": ["Add: 0 + 208 = 208", "Multiply: 208 * (-448) = -93184", "Subtract: -93184 - (-66) = -93118"], "final_answer": "-93118", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 208) * (-448) - (-66)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 208, \"c\": -448, \"d\": -66}", "seed": "6636699419143163220", "semantic_fingerprint": "sha256:8558430e98dac0c4ddf3d725d93dc7c4c4d3d1d7a53c8ea8b03746fb6c44503e", "generator_version": "3.0"}
{"id": "v3_val_00002271", "prompt": "Evaluate: -49 * 66 / (-179) / (-69) - 54", "solution_steps": ["Multiply: -49 * 66 = -3234", "Divide: -3234 / (-179) = 3234/179", "Divide: (3234/179) / (-69) = -1078/4117", "Subtract: -1078/4117 - 54 = -223396/4117"], "final_answer": "-223396/4117", "answer_type": "rational", "kind": "expression", "math_text": "-49 * 66 / (-179) / (-69) - 54", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 66, \"c\": -179, \"d\": -69, \"e\": 54}", "seed": "381120507381180556", "semantic_fingerprint": "sha256:72032f3718db05292a5143f198e5befc6f4fed20469a8d62a84672aebe1d1a3f", "generator_version": "3.0"}
{"id": "v3_val_00002272", "prompt": "Evaluate: 31 / (-4) - (-6 * 9 * 0 + (-25))", "solution_steps": ["Divide: 31 / (-4) = -31/4", "Multiply: -6 * 9 = -54", "Multiply: -54 * 0 = 0", "Add: 0 + (-25) = -25", "Subtract: -31/4 - (-25) = 69/4"], "final_answer": "69/4", "answer_type": "rational", "kind": "expression", "math_text": "31 / (-4) - (-6 * 9 * 0 + (-25))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ (* (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -4, \"c\": -6, \"d\": 9, \"e\": 0, \"f\": -25}", "seed": "342168543720576259", "semantic_fingerprint": "sha256:641cb80826e44d7e827c0a6b9920a18197cda8ec051d732fbec3e7f5acfead99", "generator_version": "3.0"}
{"id": "v3_val_00002273", "prompt": "Solve the equation x - 75 = -5(x + 2) - 125 for x.", "solution_steps": ["Expand: x - 75 = -5x - 10 - 125", "Combine constants: x - 75 = -5x - 135", "Add 5x to both sides: 6x - 75 = -135", "Add 75 to both sides: 6x = -60", "Divide both sides by 6: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 75 = -5(x + 2) - 125", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -5, \"c\": 2, \"e\": -125, \"x\": -10}", "seed": "11152329548458930857", "semantic_fingerprint": "sha256:1de720411575041cc376e63374ee638f6b1a031029be57c11a87d5868e4822f9", "generator_version": "3.0"}
{"id": "v3_val_00002274", "prompt": "What is -9 / (-63) + 927?", "solution_steps": ["Divide: -9 / (-63) = 1/7", "Add: 1/7 + 927 = 6490/7"], "final_answer": "6490/7", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-63) + 927", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -63, \"c\": 927}", "seed": "15031130447710496516", "semantic_fingerprint": "sha256:c0b4f61fec23d72aeacc42bfa32d263b4306de0d63769146bf3d49543c1f260e", "generator_version": "3.0"}
{"id": "v3_val_00002275", "prompt": "Compute: -5 - 79 - (40 / 9 - 70 + 27)", "solution_steps": ["Subtract: -5 - 79 = -84", "Divide: 40 / 9 = 40/9", "Subtract: 40/9 - 70 = -590/9", "Add: -590/9 + 27 = -347/9", "Subtract: -84 - (-347/9) = -409/9"], "final_answer": "-409/9", "answer_type": "rational", "kind": "expression", "math_text": "-5 - 79 - (40 / 9 - 70 + 27)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (- (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 79, \"c\": 40, \"d\": 9, \"e\": 70, \"f\": 27}", "seed": "3045835924053211174", "semantic_fingerprint": "sha256:a5c5e76fff89afaa6773a9a9dcefdf3366bc762700118c4605ee57db7b8ca8da", "generator_version": "3.0"}
{"id": "v3_val_00002276", "prompt": "Solve for x: -9x + 52 = 7", "solution_steps": ["Subtract 52 from both sides: -9x = -45", "Divide both sides by -9: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 52 = 7", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 52, \"d\": 7, \"x\": 5}", "seed": "8704681911526150927", "semantic_fingerprint": "sha256:70ecf1fad022a92efcba2a0f08f126c9b35813350c85d368c97975d3e7bb212a", "generator_version": "3.0"}
{"id": "v3_val_00002277", "prompt": "Compute: -63 * 1", "solution_steps": ["Multiply: -63 * 1 = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "-63 * 1", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 1}", "seed": "1785835464977377875", "semantic_fingerprint": "sha256:cef1ce36624216e8ea23a05e22f3d2e35bf25d48390cf9bb1a8dac47684b1037", "generator_version": "3.0"}
{"id": "v3_val_00002278", "prompt": "Calculate: 2 + 864 * (-21 - (-24))", "solution_steps": ["Subtract: -21 - (-24) = 3", "Multiply: 864 * 3 = 2592", "Add: 2 + 2592 = 2594"], "final_answer": "2594", "answer_type": "integer", "kind": "expression", "math_text": "2 + 864 * (-21 - (-24))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 864, \"c\": -21, \"d\": -24}", "seed": "16057009627605530511", "semantic_fingerprint": "sha256:47620b247d09427685e3859e54b16982f877955be3bb3496ce7c35b8bf74e2bc", "generator_version": "3.0"}
{"id": "v3_val_00002279", "prompt": "What value of x satisfies -6(x - 69) - 8 = -9x + 409?", "solution_steps": ["Expand: -6x + 414 - 8 = -9x + 409", "Combine constants: -6x + 406 = -9x + 409", "Add 9x to both sides: 3x + 406 = 409", "Subtract 406 from both sides: 3x = 3", "Divide both sides by 3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 69) - 8 = -9x + 409", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 69, \"c\": 8, \"d\": -9, \"f\": 409, \"x\": 1}", "seed": "8838753778497289297", "semantic_fingerprint": "sha256:2f53df62e9e7e777ad2c95b427bcbaef885a30c87c162f9064e832a333fa6587", "generator_version": "3.0"}
{"id": "v3_val_00002280", "prompt": "Compute: 57 - (-948) - (-6)", "solution_steps": ["Subtract: 57 - (-948) = 1005", "Subtract: 1005 - (-6) = 1011"], "final_answer": "1011", "answer_type": "integer", "kind": "expression", "math_text": "57 - (-948) - (-6)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -948, \"c\": -6}", "seed": "11535471455845866364", "semantic_fingerprint": "sha256:bf7f195d5df62138546e0bf9c53fc16a3086624f619b8d0c6639cc8613af34b9", "generator_version": "3.0"}
{"id": "v3_val_00002281", "prompt": "Find x: x + 93 = 87", "solution_steps": ["Subtract 93 from both sides: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 93 = 87", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 93, \"c\": 87, \"x\": -6}", "seed": "3632034288914531401", "semantic_fingerprint": "sha256:d43fd04059d789be88e40b688e111e041d7e2c8665bd24e2c40cd6bf59c4467d", "generator_version": "3.0"}
{"id": "v3_val_00002282", "prompt": "Find x: 9x - 67 = -157", "solution_steps": ["Add 67 to both sides: 9x = -90", "Divide both sides by 9: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 67 = -157", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 67, \"d\": -157, \"x\": -10}", "seed": "10111113159908862953", "semantic_fingerprint": "sha256:d715cdf879ca6e1388dacccb167162bda498b2a4ed3c46709cdfa07b78f7f876", "generator_version": "3.0"}
{"id": "v3_val_00002283", "prompt": "Solve the equation x = 4x - 57 for x.", "solution_steps": ["Subtract 4x from both sides: -3x = -57", "Divide both sides by -3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4x - 57", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": -57, \"x\": 19}", "seed": "17816994406083772388", "semantic_fingerprint": "sha256:1ad4a07d0eae7cc708ab6808eed7627330aeb9d00f47d34b74083a87fad45d33", "generator_version": "3.0"}
{"id": "v3_val_00002284", "prompt": "Evaluate: 3 * (-20 + (-47))", "solution_steps": ["Add: -20 + (-47) = -67", "Multiply: 3 * (-67) = -201"], "final_answer": "-201", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-20 + (-47))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -20, \"c\": -47}", "seed": "2613747179840762142", "semantic_fingerprint": "sha256:b261cf1dc4e8e8c5f717532965d831ce4971399da5b5a68b09ab5b02ff00d9e7", "generator_version": "3.0"}
{"id": "v3_val_00002285", "prompt": "Find x: 7(x + 74) = x", "solution_steps": ["Expand: 7x + 518 = x", "Subtract x from both sides: 6x + 518 = 0", "Subtract 518 from both sides: 6x = -518", "Divide both sides by 6: x = -259/3"], "final_answer": "-259/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 74) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 74}", "seed": "5085131412627097059", "semantic_fingerprint": "sha256:14afd91e0521e69e2cec7fd30556fcf57ac50ad3e738309dcd31fbd66a029f5f", "generator_version": "3.0"}
{"id": "v3_val_00002286", "prompt": "Find x: 4x - 20 = x - 20", "solution_steps": ["Subtract x from both sides: 3x - 20 = -20", "Add 20 to both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 20 = x - 20", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 20, \"d\": -20, \"x\": 0}", "seed": "6750992668760589804", "semantic_fingerprint": "sha256:342435c037baf9b03ad7b685a24f20a93a1ad4dd81183b511aa7fc0b716178c2", "generator_version": "3.0"}
{"id": "v3_val_00002287", "prompt": "Calculate: (-87 + 30) / (89 * (40 / (-8))) + 827", "solution_steps": ["Add: -87 + 30 = -57", "Divide: 40 / (-8) = -5", "Multiply: 89 * (-5) = -445", "Divide: -57 / (-445) = 57/445", "Add: 57/445 + 827 = 368072/445"], "final_answer": "368072/445", "answer_type": "rational", "kind": "expression", "math_text": "(-87 + 30) / (89 * (40 / (-8))) + 827", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) (* n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 30, \"c\": 89, \"d\": 40, \"e\": -8, \"f\": 827}", "seed": "17014078090564122947", "semantic_fingerprint": "sha256:f1263ec1f457ecc4c1c737e115e30506c39f3e797a1a3bd2a825292f3eb388c8", "generator_version": "3.0"}
{"id": "v3_val_00002288", "prompt": "Solve the equation x + 5 = 10(x + 16) - 146 for x.", "solution_steps": ["Expand: x + 5 = 10x + 160 - 146", "Combine constants: x + 5 = 10x + 14", "Subtract 10x from both sides: -9x + 5 = 14", "Subtract 5 from both sides: -9x = 9", "Divide both sides by -9: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5 = 10(x + 16) - 146", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 10, \"c\": 16, \"e\": -146, \"x\": -1}", "seed": "2157367593826935595", "semantic_fingerprint": "sha256:4661f1a56eb63c676d595fc3fe2a03301257c7e6a94a126ecd37c0a5f165ad5f", "generator_version": "3.0"}
{"id": "v3_val_00002289", "prompt": "What is -3 * (2 / 67) / (-18)?", "solution_steps": ["Divide: 2 / 67 = 2/67", "Multiply: -3 * (2/67) = -6/67", "Divide: (-6/67) / (-18) = 1/201"], "final_answer": "1/201", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (2 / 67) / (-18)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 67, \"d\": -18}", "seed": "12228193700681797356", "semantic_fingerprint": "sha256:9a1809cad101fdbeb63e04842f610dedc8bb9ba9a8cbc50d6d31953ac4a9dab9", "generator_version": "3.0"}
{"id": "v3_val_00002290", "prompt": "What is (5 - 548) / (1 - 39)?", "solution_steps": ["Subtract: 5 - 548 = -543", "Subtract: 1 - 39 = -38", "Divide: -543 / (-38) = 543/38"], "final_answer": "543/38", "answer_type": "rational", "kind": "expression", "math_text": "(5 - 548) / (1 - 39)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 548, \"c\": 1, \"d\": 39}", "seed": "3628493815846689480", "semantic_fingerprint": "sha256:491f98f083b95fba7cf7a6a54338f9dade02c0fdeb013f7e4b062c1d43318e01", "generator_version": "3.0"}
{"id": "v3_val_00002291", "prompt": "What is (-91 - 331 * (-9) - (-8)) * (-79)?", "solution_steps": ["Multiply: 331 * (-9) = -2979", "Subtract: -91 - (-2979) = 2888", "Subtract: 2888 - (-8) = 2896", "Multiply: 2896 * (-79) = -228784"], "final_answer": "-228784", "answer_type": "integer", "kind": "expression", "math_text": "(-91 - 331 * (-9) - (-8)) * (-79)", "variable": null, "family": "expression_4op", "shape": "(* (- (- n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 331, \"c\": -9, \"d\": -8, \"e\": -79}", "seed": "7210144847995633776", "semantic_fingerprint": "sha256:5e2d863c955fcdec7b97d66c15159df89d8e059743575b50907f420dccf26ad0", "generator_version": "3.0"}
{"id": "v3_val_00002292", "prompt": "What value of x satisfies -11x + 67 = 2(x - 938) - 52?", "solution_steps": ["Expand: -11x + 67 = 2x - 1876 - 52", "Combine constants: -11x + 67 = 2x - 1928", "Subtract 2x from both sides: -13x + 67 = -1928", "Subtract 67 from both sides: -13x = -1995", "Divide both sides by -13: x = 1995/13"], "final_answer": "1995/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x + 67 = 2(x - 938) - 52", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 67, \"c\": 2, \"d\": 938, \"e\": 52}", "seed": "14588990857376537829", "semantic_fingerprint": "sha256:f9441ad0c123d027af81b9be1ae32a4b4923101295d2bd58de3dff1e8fd77898", "generator_version": "3.0"}
{"id": "v3_val_00002293", "prompt": "What is -639 / 769 + (714 - 0 - (-19 - (-42)))?", "solution_steps": ["Divide: -639 / 769 = -639/769", "Subtract: 714 - 0 = 714", "Subtract: -19 - (-42) = 23", "Subtract: 714 - 23 = 691", "Add: -639/769 + 691 = 530740/769"], "final_answer": "530740/769", "answer_type": "rational", "kind": "expression", "math_text": "-639 / 769 + (714 - 0 - (-19 - (-42)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -639, \"b\": 769, \"c\": 714, \"d\": 0, \"e\": -19, \"f\": -42}", "seed": "15133255494126668473", "semantic_fingerprint": "sha256:04b8945f605f58b4b4d21d6ce4c817ef52cd4b21cbd9068edec41a478baadd25", "generator_version": "3.0"}
{"id": "v3_val_00002294", "prompt": "What is -494 * (-2 * 85)?", "solution_steps": ["Multiply: -2 * 85 = -170", "Multiply: -494 * (-170) = 83980"], "final_answer": "83980", "answer_type": "integer", "kind": "expression", "math_text": "-494 * (-2 * 85)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -494, \"b\": -2, \"c\": 85}", "seed": "4949448768867884074", "semantic_fingerprint": "sha256:1b3da21d8b127569397762bd45111d56e720c1e7fe716f0aaafafd5534a71814", "generator_version": "3.0"}
{"id": "v3_val_00002295", "prompt": "Compute: (-690 - (-37)) / (-52)", "solution_steps": ["Subtract: -690 - (-37) = -653", "Divide: -653 / (-52) = 653/52"], "final_answer": "653/52", "answer_type": "rational", "kind": "expression", "math_text": "(-690 - (-37)) / (-52)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -690, \"b\": -37, \"c\": -52}", "seed": "14263065767334263146", "semantic_fingerprint": "sha256:d085c3eca6e3af52db148597d0fc0c9337f9650ae8ae0cb60fbfe483514d8513", "generator_version": "3.0"}
{"id": "v3_val_00002296", "prompt": "What is 9 * 870 / (-9) * (-17)?", "solution_steps": ["Multiply: 9 * 870 = 7830", "Divide: 7830 / (-9) = -870", "Multiply: -870 * (-17) = 14790"], "final_answer": "14790", "answer_type": "integer", "kind": "expression", "math_text": "9 * 870 / (-9) * (-17)", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 870, \"c\": -9, \"d\": -17}", "seed": "17879918673909087071", "semantic_fingerprint": "sha256:392a077168391cca8c5ef73309c61d5365e90441e4102d3068e295113711cb60", "generator_version": "3.0"}
{"id": "v3_val_00002297", "prompt": "Calculate: (55 + (-65)) * (-11) - 298 * (-34) * (-4)", "solution_steps": ["Add: 55 + (-65) = -10", "Multiply: -10 * (-11) = 110", "Multiply: 298 * (-34) = -10132", "Multiply: -10132 * (-4) = 40528", "Subtract: 110 - 40528 = -40418"], "final_answer": "-40418", "answer_type": "integer", "kind": "expression", "math_text": "(55 + (-65)) * (-11) - 298 * (-34) * (-4)", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) n) (* (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -65, \"c\": -11, \"d\": 298, \"e\": -34, \"f\": -4}", "seed": "2299204941320252732", "semantic_fingerprint": "sha256:79eb48455782bd5bd8f6ae8298083454b7ac974d08c6a270d3658342f709c144", "generator_version": "3.0"}
{"id": "v3_val_00002298", "prompt": "Compute: 91 * 681", "solution_steps": ["Multiply: 91 * 681 = 61971"], "final_answer": "61971", "answer_type": "integer", "kind": "expression", "math_text": "91 * 681", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 681}", "seed": "14263343571653479602", "semantic_fingerprint": "sha256:8a7fa33866d4db2fce1f1c518f710bbac0b37c489fd73f34855eef150f5f693d", "generator_version": "3.0"}
{"id": "v3_val_00002299", "prompt": "What value of x satisfies 9(x - 7) + 683 = 566?", "solution_steps": ["Expand: 9x - 63 + 683 = 566", "Combine constants: 9x + 620 = 566", "Subtract 620 from both sides: 9x = -54", "Divide both sides by 9: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 7) + 683 = 566", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 683, \"e\": 566, \"x\": -6}", "seed": "2483048809472455247", "semantic_fingerprint": "sha256:b92a73f28d50cf8ed9786a6e93fc9090e4a5fbf9e79918c094846bb5d7aea512", "generator_version": "3.0"}
{"id": "v3_val_00002300", "prompt": "Calculate: -118 * (-571)", "solution_steps": ["Multiply: -118 * (-571) = 67378"], "final_answer": "67378", "answer_type": "integer", "kind": "expression", "math_text": "-118 * (-571)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -118, \"b\": -571}", "seed": "11476750072740928211", "semantic_fingerprint": "sha256:76e2813b995fb04e52cbbff9c6ef3eaa5cf0fbe63b215bc1718f5ca3ba9d34ed", "generator_version": "3.0"}
{"id": "v3_val_00002301", "prompt": "What is 86 - (-35) - 7 * 0?", "solution_steps": ["Subtract: 86 - (-35) = 121", "Multiply: 7 * 0 = 0", "Subtract: 121 - 0 = 121"], "final_answer": "121", "answer_type": "integer", "kind": "expression", "math_text": "86 - (-35) - 7 * 0", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -35, \"c\": 7, \"d\": 0}", "seed": "7480906911905512278", "semantic_fingerprint": "sha256:cb1b4b7db69b13353ab0417082aee12ee910472b91ba5a6f5b2dd6561083c0aa", "generator_version": "3.0"}
{"id": "v3_val_00002302", "prompt": "Calculate: (5 * 14 - 6 - 0) * 47", "solution_steps": ["Multiply: 5 * 14 = 70", "Subtract: 70 - 6 = 64", "Subtract: 64 - 0 = 64", "Multiply: 64 * 47 = 3008"], "final_answer": "3008", "answer_type": "integer", "kind": "expression", "math_text": "(5 * 14 - 6 - 0) * 47", "variable": null, "family": "expression_4op", "shape": "(* (- (- (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 14, \"c\": 6, \"d\": 0, \"e\": 47}", "seed": "17626943364010214436", "semantic_fingerprint": "sha256:e75a4fc255c7f3f7ab325128bdd86e0a17040f7956db4b5d3472f5d8f9a42ff9", "generator_version": "3.0"}
{"id": "v3_val_00002303", "prompt": "What is ((-486 + 251) * (-81) - (682 + 6)) / (-99)?", "solution_steps": ["Add: -486 + 251 = -235", "Multiply: -235 * (-81) = 19035", "Add: 682 + 6 = 688", "Subtract: 19035 - 688 = 18347", "Divide: 18347 / (-99) = -18347/99"], "final_answer": "-18347/99", "answer_type": "rational", "kind": "expression", "math_text": "((-486 + 251) * (-81) - (682 + 6)) / (-99)", "variable": null, "family": "expression_5op", "shape": "(/ (- (* (+ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -486, \"b\": 251, \"c\": -81, \"d\": 682, \"e\": 6, \"f\": -99}", "seed": "12107189013340977395", "semantic_fingerprint": "sha256:56c0d01fdd56181e146331add05a79f25e07cb877389c8a696fa8e0e58c56e32", "generator_version": "3.0"}
{"id": "v3_val_00002304", "prompt": "Compute: -8 - (-2) + (-59) * (-357)", "solution_steps": ["Subtract: -8 - (-2) = -6", "Multiply: -59 * (-357) = 21063", "Add: -6 + 21063 = 21057"], "final_answer": "21057", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-2) + (-59) * (-357)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -2, \"c\": -59, \"d\": -357}", "seed": "7850527421460523286", "semantic_fingerprint": "sha256:342d625ffcad2f8cb99052f5c1a3eb6ab5731a0a76fcbf2740180a36ce6915c3", "generator_version": "3.0"}
{"id": "v3_val_00002305", "prompt": "Compute: -42 / (-444 * (-60))", "solution_steps": ["Multiply: -444 * (-60) = 26640", "Divide: -42 / 26640 = -7/4440"], "final_answer": "-7/4440", "answer_type": "rational", "kind": "expression", "math_text": "-42 / (-444 * (-60))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -444, \"c\": -60}", "seed": "453859579138253227", "semantic_fingerprint": "sha256:5bc87173e426d28c3ce318c9a959eff33f7567d3a1b775d707ecac0f99a08cda", "generator_version": "3.0"}
{"id": "v3_val_00002306", "prompt": "Compute: 93 * 94", "solution_steps": ["Multiply: 93 * 94 = 8742"], "final_answer": "8742", "answer_type": "integer", "kind": "expression", "math_text": "93 * 94", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 94}", "seed": "858742169040874334", "semantic_fingerprint": "sha256:367e45c46122a7ee265e8920f5fb171f300f03818f3d711741d4742fda7e0193", "generator_version": "3.0"}
{"id": "v3_val_00002307", "prompt": "Calculate: 238 / (-248 / 8 - 0)", "solution_steps": ["Divide: -248 / 8 = -31", "Subtract: -31 - 0 = -31", "Divide: 238 / (-31) = -238/31"], "final_answer": "-238/31", "answer_type": "rational", "kind": "expression", "math_text": "238 / (-248 / 8 - 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 238, \"b\": -248, \"c\": 8, \"d\": 0}", "seed": "5795396308544390281", "semantic_fingerprint": "sha256:eed1e9075242eb4937bc53537e5ef9c1bfa733318b28d448066a0e5d947bf9b4", "generator_version": "3.0"}
{"id": "v3_val_00002308", "prompt": "Compute: 4 * (-33 - (-3)) + (-4)", "solution_steps": ["Subtract: -33 - (-3) = -30", "Multiply: 4 * (-30) = -120", "Add: -120 + (-4) = -124"], "final_answer": "-124", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-33 - (-3)) + (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -33, \"c\": -3, \"d\": -4}", "seed": "13570200337326933252", "semantic_fingerprint": "sha256:aef68cc86aa36333290236c2ee54a885b3e27fd6af215029a286da9202c471bc", "generator_version": "3.0"}
{"id": "v3_val_00002309", "prompt": "Calculate: -160 + 27 / 5", "solution_steps": ["Divide: 27 / 5 = 27/5", "Add: -160 + 27/5 = -773/5"], "final_answer": "-773/5", "answer_type": "rational", "kind": "expression", "math_text": "-160 + 27 / 5", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -160, \"b\": 27, \"c\": 5}", "seed": "17601159738966337281", "semantic_fingerprint": "sha256:b2c3ad0328dd00fd96498f6f94f7017399b8a92afa5b523301b9544c06cbfc28", "generator_version": "3.0"}
{"id": "v3_val_00002310", "prompt": "What is (872 - (-31) / 31) / (-2 - (-732) / (-97))?", "solution_steps": ["Divide: -31 / 31 = -1", "Subtract: 872 - (-1) = 873", "Divide: -732 / (-97) = 732/97", "Subtract: -2 - 732/97 = -926/97", "Divide: 873 / (-926/97) = -84681/926"], "final_answer": "-84681/926", "answer_type": "rational", "kind": "expression", "math_text": "(872 - (-31) / 31) / (-2 - (-732) / (-97))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (/ n n)) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 872, \"b\": -31, \"c\": 31, \"d\": -2, \"e\": -732, \"f\": -97}", "seed": "4295507040397549841", "semantic_fingerprint": "sha256:e20a40233c4bc16e56f4f53a24e737289c4b9adddff3d09882049d0af08eaa7f", "generator_version": "3.0"}
{"id": "v3_val_00002311", "prompt": "What is -9 / 534 + (-82)?", "solution_steps": ["Divide: -9 / 534 = -3/178", "Add: -3/178 + (-82) = -14599/178"], "final_answer": "-14599/178", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 534 + (-82)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 534, \"c\": -82}", "seed": "5270482171661913173", "semantic_fingerprint": "sha256:0cdfeb9d6883342d7ae4fe21e4ca312d43db2f38a4845465ec9f800e6c0e167e", "generator_version": "3.0"}
{"id": "v3_val_00002312", "prompt": "Compute: -278 + 72 * (-46) + 9", "solution_steps": ["Multiply: 72 * (-46) = -3312", "Add: -278 + (-3312) = -3590", "Add: -3590 + 9 = -3581"], "final_answer": "-3581", "answer_type": "integer", "kind": "expression", "math_text": "-278 + 72 * (-46) + 9", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -278, \"b\": 72, \"c\": -46, \"d\": 9}", "seed": "2149751091992121868", "semantic_fingerprint": "sha256:de10bd832d86a9d4348701b478637ee77b78c328c7bf346b8ac28212f2c8368f", "generator_version": "3.0"}
{"id": "v3_val_00002313", "prompt": "Evaluate: 36 - (-60) * 636 * (6 / 91)", "solution_steps": ["Multiply: -60 * 636 = -38160", "Divide: 6 / 91 = 6/91", "Multiply: -38160 * (6/91) = -228960/91", "Subtract: 36 - (-228960/91) = 232236/91"], "final_answer": "232236/91", "answer_type": "rational", "kind": "expression", "math_text": "36 - (-60) * 636 * (6 / 91)", "variable": null, "family": "expression_4op", "shape": "(- n (* (* n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -60, \"c\": 636, \"d\": 6, \"e\": 91}", "seed": "15259768203909621237", "semantic_fingerprint": "sha256:beab06355e65433d6057ce89ef56af38e80260267089a39210e23783adc9424a", "generator_version": "3.0"}
{"id": "v3_val_00002314", "prompt": "What value of x satisfies 3(x + 327) = 2x + 972?", "solution_steps": ["Expand: 3x + 981 = 2x + 972", "Subtract 2x from both sides: x + 981 = 972", "Subtract 981 from both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 327) = 2x + 972", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 327, \"c\": 2, \"e\": 972, \"x\": -9}", "seed": "15671249175038238898", "semantic_fingerprint": "sha256:4fc1c0276a1c8654127fc63521262b077e0c4f73cb9c5adc392aadbcc2327c27", "generator_version": "3.0"}
{"id": "v3_val_00002315", "prompt": "What value of x satisfies 4x + 506 = 7x?", "solution_steps": ["Subtract 7x from both sides: -3x + 506 = 0", "Subtract 506 from both sides: -3x = -506", "Divide both sides by -3: x = 506/3"], "final_answer": "506/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x + 506 = 7x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 506, \"c\": 7}", "seed": "9092685107593074280", "semantic_fingerprint": "sha256:b7e42cada421cb953a7939a5fd0d896c6b62b2a83e55ef1d096c1f771a3f1f1f", "generator_version": "3.0"}
{"id": "v3_val_00002316", "prompt": "Evaluate: 82 * 682 / (361 - (-59)) - 494 / (-46)", "solution_steps": ["Multiply: 82 * 682 = 55924", "Subtract: 361 - (-59) = 420", "Divide: 55924 / 420 = 13981/105", "Divide: 494 / (-46) = -247/23", "Subtract: 13981/105 - (-247/23) = 347498/2415"], "final_answer": "347498/2415", "answer_type": "rational", "kind": "expression", "math_text": "82 * 682 / (361 - (-59)) - 494 / (-46)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 682, \"c\": 361, \"d\": -59, \"e\": 494, \"f\": -46}", "seed": "13559214497176762178", "semantic_fingerprint": "sha256:52bcfa1d4c8136067585fa94af070cbd543c97f44f5540ba368ea67052d21eef", "generator_version": "3.0"}
{"id": "v3_val_00002317", "prompt": "Solve the equation x - 1 = 6x + 44 for x.", "solution_steps": ["Subtract 6x from both sides: -5x - 1 = 44", "Add 1 to both sides: -5x = 45", "Divide both sides by -5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 6x + 44", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 6, \"d\": 44, \"x\": -9}", "seed": "9475159785870147936", "semantic_fingerprint": "sha256:e724ffdcbfc32a6f66d826e17bb16182c9348df009de90a2afbb470e529a14f1", "generator_version": "3.0"}
{"id": "v3_val_00002318", "prompt": "What is 5 / (4 + (-80))?", "solution_steps": ["Add: 4 + (-80) = -76", "Divide: 5 / (-76) = -5/76"], "final_answer": "-5/76", "answer_type": "rational", "kind": "expression", "math_text": "5 / (4 + (-80))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": -80}", "seed": "11771979333349421992", "semantic_fingerprint": "sha256:9db63e7391ef9da96b48e0dce64bf50ad72d8681ecdbbef3f16e53ce57812e46", "generator_version": "3.0"}
{"id": "v3_val_00002319", "prompt": "Calculate: -49 * (-3) + (-5)", "solution_steps": ["Multiply: -49 * (-3) = 147", "Add: 147 + (-5) = 142"], "final_answer": "142", "answer_type": "integer", "kind": "expression", "math_text": "-49 * (-3) + (-5)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -3, \"c\": -5}", "seed": "779014910490586909", "semantic_fingerprint": "sha256:f2ebf35d4f215e2af2286c75e2b186ed07a83c615b939601a600d4dc0c7be4fe", "generator_version": "3.0"}
{"id": "v3_val_00002320", "prompt": "Compute: 0 / (-16 / (-810))", "solution_steps": ["Divide: -16 / (-810) = 8/405", "Divide: 0 / (8/405) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-16 / (-810))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -16, \"c\": -810}", "seed": "11920450013975482161", "semantic_fingerprint": "sha256:854f592f11aa375617d3816aae98c32757d5909448ca21402537acbbe06b134b", "generator_version": "3.0"}
{"id": "v3_val_00002321", "prompt": "Calculate: -8 - (-451) + 7 - (83 - (-68))", "solution_steps": ["Subtract: -8 - (-451) = 443", "Add: 443 + 7 = 450", "Subtract: 83 - (-68) = 151", "Subtract: 450 - 151 = 299"], "final_answer": "299", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-451) + 7 - (83 - (-68))", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -451, \"c\": 7, \"d\": 83, \"e\": -68}", "seed": "1790082111952269807", "semantic_fingerprint": "sha256:ddac268cf1aa1abbde91471962518bc588152513df4b75f4a6718d8e624fe1ea", "generator_version": "3.0"}
{"id": "v3_val_00002322", "prompt": "What is (81 + 0 - (-6)) * (-5)?", "solution_steps": ["Add: 81 + 0 = 81", "Subtract: 81 - (-6) = 87", "Multiply: 87 * (-5) = -435"], "final_answer": "-435", "answer_type": "integer", "kind": "expression", "math_text": "(81 + 0 - (-6)) * (-5)", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 0, \"c\": -6, \"d\": -5}", "seed": "16481001450804875224", "semantic_fingerprint": "sha256:0185664adf0fa6b4780f8895cd05b6557c8af6a051ce79cecd0028e4b1764794", "generator_version": "3.0"}
{"id": "v3_val_00002323", "prompt": "Evaluate: -493 + (-273)", "solution_steps": ["Add: -493 + (-273) = -766"], "final_answer": "-766", "answer_type": "integer", "kind": "expression", "math_text": "-493 + (-273)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -493, \"b\": -273}", "seed": "11138332439880553046", "semantic_fingerprint": "sha256:7cd6546e8caacabbfec1450dde48f4e7fe33408401d71308a51722abb40d240f", "generator_version": "3.0"}
{"id": "v3_val_00002324", "prompt": "Solve for x: 2x + 75 = 3(x + 29)", "solution_steps": ["Expand: 2x + 75 = 3x + 87", "Subtract 3x from both sides: -x + 75 = 87", "Subtract 75 from both sides: -x = 12", "Divide both sides by -1: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 75 = 3(x + 29)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 29, \"e\": 75, \"x\": -12}", "seed": "17823253646334053975", "semantic_fingerprint": "sha256:a11f03d485127d4f87f8beccccfc98a869721795504e6ba3b8878c9a13f38239", "generator_version": "3.0"}
{"id": "v3_val_00002325", "prompt": "What is -61 + 0 + 57?", "solution_steps": ["Add: -61 + 0 = -61", "Add: -61 + 57 = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "-61 + 0 + 57", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 0, \"c\": 57}", "seed": "5794127012620571168", "semantic_fingerprint": "sha256:fcca8abe50146adc5156b5154eda87de008320c81097018a53f9bac4a0daf6cb", "generator_version": "3.0"}
{"id": "v3_val_00002326", "prompt": "What is -983 + (7 * 1 + (-15))?", "solution_steps": ["Multiply: 7 * 1 = 7", "Add: 7 + (-15) = -8", "Add: -983 + (-8) = -991"], "final_answer": "-991", "answer_type": "integer", "kind": "expression", "math_text": "-983 + (7 * 1 + (-15))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -983, \"b\": 7, \"c\": 1, \"d\": -15}", "seed": "14235016289726126306", "semantic_fingerprint": "sha256:abeadfded0bfadbc0fd2ccd26c53a05fbacbe90c0e23823b1ae32b72cd291c67", "generator_version": "3.0"}
{"id": "v3_val_00002327", "prompt": "Compute: 1 + (-72)", "solution_steps": ["Add: 1 + (-72) = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-72)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -72}", "seed": "1040251638193410989", "semantic_fingerprint": "sha256:0f1a129a7d84d96fc518f4c7e627b458c2b18f628668967fcc99cfdf89d4d8cd", "generator_version": "3.0"}
{"id": "v3_val_00002328", "prompt": "What is -9 * (-388 - (-15)) - (-278) * (57 - 65)?", "solution_steps": ["Subtract: -388 - (-15) = -373", "Multiply: -9 * (-373) = 3357", "Subtract: 57 - 65 = -8", "Multiply: -278 * (-8) = 2224", "Subtract: 3357 - 2224 = 1133"], "final_answer": "1133", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-388 - (-15)) - (-278) * (57 - 65)", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n n)) (* n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -388, \"c\": -15, \"d\": -278, \"e\": 57, \"f\": 65}", "seed": "9302951212616112062", "semantic_fingerprint": "sha256:a8d6f4c294d9df38c8dd00982685d002e797874a2cf72c16ace1cdc73a08c328", "generator_version": "3.0"}
{"id": "v3_val_00002329", "prompt": "Evaluate: 688 * (-97) / (-610) + (-274)", "solution_steps": ["Multiply: 688 * (-97) = -66736", "Divide: -66736 / (-610) = 33368/305", "Add: 33368/305 + (-274) = -50202/305"], "final_answer": "-50202/305", "answer_type": "rational", "kind": "expression", "math_text": "688 * (-97) / (-610) + (-274)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 688, \"b\": -97, \"c\": -610, \"d\": -274}", "seed": "9038323501573740181", "semantic_fingerprint": "sha256:a3ac311546d11711e34c66a83e3ca9192c653068f882e56e2921195ef80068d4", "generator_version": "3.0"}
{"id": "v3_val_00002330", "prompt": "What is 47 * (-1) * (-99) - (-813)?", "solution_steps": ["Multiply: 47 * (-1) = -47", "Multiply: -47 * (-99) = 4653", "Subtract: 4653 - (-813) = 5466"], "final_answer": "5466", "answer_type": "integer", "kind": "expression", "math_text": "47 * (-1) * (-99) - (-813)", "variable": null, "family": "expression_3op", "shape": "(- (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -1, \"c\": -99, \"d\": -813}", "seed": "1129022869473249352", "semantic_fingerprint": "sha256:920d7ee171c4d37a47b55a55edb08e8cef9001d97f020a5865dd2ea539d7bb36", "generator_version": "3.0"}
{"id": "v3_val_00002331", "prompt": "Find x: 2x + 641 = 625", "solution_steps": ["Subtract 641 from both sides: 2x = -16", "Divide both sides by 2: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 641 = 625", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 641, \"d\": 625, \"x\": -8}", "seed": "9857773162447574300", "semantic_fingerprint": "sha256:02ffb2d583c2bd569a4c2aac9cb94fa5f0536431d6e43bfdcbef36f31e764d84", "generator_version": "3.0"}
{"id": "v3_val_00002332", "prompt": "Find x: x - 77 = 3(x - 21)", "solution_steps": ["Expand: x - 77 = 3x - 63", "Subtract 3x from both sides: -2x - 77 = -63", "Add 77 to both sides: -2x = 14", "Divide both sides by -2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 77 = 3(x - 21)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 21, \"d\": -77, \"x\": -7}", "seed": "14974863761718497068", "semantic_fingerprint": "sha256:473c731523bdae71795c043bf212d18e06ce58dcb724d573532edeb5ec45d71d", "generator_version": "3.0"}
{"id": "v3_val_00002333", "prompt": "Calculate: 4 + (-25 + (-532 + 636))", "solution_steps": ["Add: -532 + 636 = 104", "Add: -25 + 104 = 79", "Add: 4 + 79 = 83"], "final_answer": "83", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-25 + (-532 + 636))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -25, \"c\": -532, \"d\": 636}", "seed": "197261341886825420", "semantic_fingerprint": "sha256:859f20ac64f806f04cc6f22e83011fe041b960113c770ed66b4ea087dde65c5e", "generator_version": "3.0"}
{"id": "v3_val_00002334", "prompt": "What value of x satisfies -2(x - 34) + 71 = x?", "solution_steps": ["Expand: -2x + 68 + 71 = x", "Combine constants: -2x + 139 = x", "Subtract x from both sides: -3x + 139 = 0", "Subtract 139 from both sides: -3x = -139", "Divide both sides by -3: x = 139/3"], "final_answer": "139/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 34) + 71 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 34, \"c\": 71}", "seed": "5940118562442422773", "semantic_fingerprint": "sha256:2d2be1b9f985033fceb8b6c0edb48268db3b3a2176a67e5a9fe498e5c238babd", "generator_version": "3.0"}
{"id": "v3_val_00002335", "prompt": "Compute: 9 / (-369)", "solution_steps": ["Divide: 9 / (-369) = -1/41"], "final_answer": "-1/41", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-369)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -369}", "seed": "5683330440586009224", "semantic_fingerprint": "sha256:a18c2bcf8fd52ed4678d872858bac8677c8c080d5d9372f6a87d1b101cf2c8f7", "generator_version": "3.0"}
{"id": "v3_val_00002336", "prompt": "What value of x satisfies 12(x - 29) + 83 = 5(x - 62) + 185?", "solution_steps": ["Expand: 12x - 348 + 83 = 5(x - 62) + 185", "Expand: 12x - 348 + 83 = 5x - 310 + 185", "Combine constants: 12x - 265 = 5x - 310 + 185", "Combine constants: 12x - 265 = 5x - 125", "Subtract 5x from both sides: 7x - 265 = -125", "Add 265 to both sides: 7x = 140", "Divide both sides by 7: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 29) + 83 = 5(x - 62) + 185", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 29, \"c\": 83, \"d\": 5, \"e\": 62, \"g\": 185, \"x\": 20}", "seed": "13985583600434666017", "semantic_fingerprint": "sha256:1abf68af872a16d316a4ee2c9c03a4e65aa9b5950a66c02388c9881998020845", "generator_version": "3.0"}
{"id": "v3_val_00002337", "prompt": "Find x: 9x + 5 = 4(x + 99) + 59", "solution_steps": ["Expand: 9x + 5 = 4x + 396 + 59", "Combine constants: 9x + 5 = 4x + 455", "Subtract 4x from both sides: 5x + 5 = 455", "Subtract 5 from both sides: 5x = 450", "Divide both sides by 5: x = 90"], "final_answer": "90", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 5 = 4(x + 99) + 59", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 4, \"d\": 99, \"e\": 59}", "seed": "1719432138780993692", "semantic_fingerprint": "sha256:1bf264a9c8696340edd8d830548b3a5ff17298ecbdc438f5dd436e338af9c909", "generator_version": "3.0"}
{"id": "v3_val_00002338", "prompt": "Calculate: 8 + 71", "solution_steps": ["Add: 8 + 71 = 79"], "final_answer": "79", "answer_type": "integer", "kind": "expression", "math_text": "8 + 71", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 71}", "seed": "4890952030601511200", "semantic_fingerprint": "sha256:0f2c2640e8f2ba49efcec538b8d11c340c73cdc1de304b44c7c25fb0c89e6714", "generator_version": "3.0"}
{"id": "v3_val_00002339", "prompt": "Calculate: 45 - 323 / (2 + 50)", "solution_steps": ["Add: 2 + 50 = 52", "Divide: 323 / 52 = 323/52", "Subtract: 45 - 323/52 = 2017/52"], "final_answer": "2017/52", "answer_type": "rational", "kind": "expression", "math_text": "45 - 323 / (2 + 50)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 323, \"c\": 2, \"d\": 50}", "seed": "6056666179251406637", "semantic_fingerprint": "sha256:c2c94664308e1e7de25e8ed53b127cf8f59347342426dd5724f419383fd070c8", "generator_version": "3.0"}
{"id": "v3_val_00002340", "prompt": "Find x: -7(x - 76) - 467 = -12x", "solution_steps": ["Expand: -7x + 532 - 467 = -12x", "Combine constants: -7x + 65 = -12x", "Add 12x 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": "-7(x - 76) - 467 = -12x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 76, \"c\": -12, \"e\": -467, \"x\": -13}", "seed": "18081551890097042950", "semantic_fingerprint": "sha256:5e93b747557ec24d24d9b0b9baab2e91c16ae763ca0de61170a8bca081ad74a1", "generator_version": "3.0"}
{"id": "v3_val_00002341", "prompt": "Evaluate: 0 * 21", "solution_steps": ["Multiply: 0 * 21 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 21", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 21}", "seed": "11446495913807860037", "semantic_fingerprint": "sha256:5c1279a032489f5fe01fd640a3659067b045b44628ec09eb5b0addb9ee45b2da", "generator_version": "3.0"}
{"id": "v3_val_00002342", "prompt": "Find x: 11x - 907 = 5x + 415", "solution_steps": ["Subtract 5x from both sides: 6x - 907 = 415", "Add 907 to both sides: 6x = 1322", "Divide both sides by 6: x = 661/3"], "final_answer": "661/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 907 = 5x + 415", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 907, \"c\": 5, \"d\": 415}", "seed": "13455062181732767841", "semantic_fingerprint": "sha256:864f218db2822e242741444c7d343e18dee225634ce488abf476625f010de5ca", "generator_version": "3.0"}
{"id": "v3_val_00002343", "prompt": "Calculate: -633 - (-51 + 96 / 3) - (-8)", "solution_steps": ["Divide: 96 / 3 = 32", "Add: -51 + 32 = -19", "Subtract: -633 - (-19) = -614", "Subtract: -614 - (-8) = -606"], "final_answer": "-606", "answer_type": "integer", "kind": "expression", "math_text": "-633 - (-51 + 96 / 3) - (-8)", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -633, \"b\": -51, \"c\": 96, \"d\": 3, \"e\": -8}", "seed": "12978468133184992719", "semantic_fingerprint": "sha256:5b31f0e63c3287cba4a1fa9ec8bac86803569a88b98a937ae26daf8ff90d8bfc", "generator_version": "3.0"}
{"id": "v3_val_00002344", "prompt": "Calculate: -50 / 48 / (-2)", "solution_steps": ["Divide: -50 / 48 = -25/24", "Divide: (-25/24) / (-2) = 25/48"], "final_answer": "25/48", "answer_type": "rational", "kind": "expression", "math_text": "-50 / 48 / (-2)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 48, \"c\": -2}", "seed": "14353244100406281156", "semantic_fingerprint": "sha256:1c5731e1ff4199079f23f888cb46cbfaa069e4e6d3a4bd2fca84c35d20011892", "generator_version": "3.0"}
{"id": "v3_val_00002345", "prompt": "Calculate: 6 - (-1) + 9 * (-166 * 229)", "solution_steps": ["Subtract: 6 - (-1) = 7", "Multiply: -166 * 229 = -38014", "Multiply: 9 * (-38014) = -342126", "Add: 7 + (-342126) = -342119"], "final_answer": "-342119", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-1) + 9 * (-166 * 229)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -1, \"c\": 9, \"d\": -166, \"e\": 229}", "seed": "17852957190213635323", "semantic_fingerprint": "sha256:30cf16789bf8d70ec29c3bef1b16fe87df729eba9fc20c369bf771cb4742fa56", "generator_version": "3.0"}
{"id": "v3_val_00002346", "prompt": "Evaluate: 3 * 16 * (-7)", "solution_steps": ["Multiply: 3 * 16 = 48", "Multiply: 48 * (-7) = -336"], "final_answer": "-336", "answer_type": "integer", "kind": "expression", "math_text": "3 * 16 * (-7)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 16, \"c\": -7}", "seed": "7816831593508498285", "semantic_fingerprint": "sha256:8b6ee4e0af5afcb5d590ea37aac8b8e250e57204df1e4569a7a28f6b5ecb108f", "generator_version": "3.0"}
{"id": "v3_val_00002347", "prompt": "Find x: 4(x + 239) - 70 = -12x + 38", "solution_steps": ["Expand: 4x + 956 - 70 = -12x + 38", "Combine constants: 4x + 886 = -12x + 38", "Add 12x to both sides: 16x + 886 = 38", "Subtract 886 from both sides: 16x = -848", "Divide both sides by 16: x = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 239) - 70 = -12x + 38", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 239, \"c\": 70, \"d\": -12, \"e\": 38}", "seed": "8945784633155920533", "semantic_fingerprint": "sha256:0ac82495635ee568a9ef8cf04ccb67e01bbde8b598607a867e5144226a3dbdb0", "generator_version": "3.0"}
{"id": "v3_val_00002348", "prompt": "Evaluate: -63 * 61 + (-71)", "solution_steps": ["Multiply: -63 * 61 = -3843", "Add: -3843 + (-71) = -3914"], "final_answer": "-3914", "answer_type": "integer", "kind": "expression", "math_text": "-63 * 61 + (-71)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 61, \"c\": -71}", "seed": "13347868783461915596", "semantic_fingerprint": "sha256:d976168d6093cfbc7e72b4fb0daf84db258fbf3bca345391bcd763f42cf0332d", "generator_version": "3.0"}
{"id": "v3_val_00002349", "prompt": "Compute: -5 - 68", "solution_steps": ["Subtract: -5 - 68 = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "expression", "math_text": "-5 - 68", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 68}", "seed": "14568437474539616530", "semantic_fingerprint": "sha256:97ceb22200356e778216f021d0af7679c1cff7b54deceb95289551468e36113a", "generator_version": "3.0"}
{"id": "v3_val_00002350", "prompt": "Evaluate: -3 * (4 * (57 - 11 / (-975 / 85)))", "solution_steps": ["Divide: -975 / 85 = -195/17", "Divide: 11 / (-195/17) = -187/195", "Subtract: 57 - (-187/195) = 11302/195", "Multiply: 4 * (11302/195) = 45208/195", "Multiply: -3 * (45208/195) = -45208/65"], "final_answer": "-45208/65", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (4 * (57 - 11 / (-975 / 85)))", "variable": null, "family": "expression_5op", "shape": "(* n (* n (- n (/ n (/ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": 57, \"d\": 11, \"e\": -975, \"f\": 85}", "seed": "10232057290738071806", "semantic_fingerprint": "sha256:3c032bc50b52db5b5feb4e9e01a61de21b6e54975a541af12e65b4253b3c0548", "generator_version": "3.0"}
{"id": "v3_val_00002351", "prompt": "What is 89 / (-101) + 4?", "solution_steps": ["Divide: 89 / (-101) = -89/101", "Add: -89/101 + 4 = 315/101"], "final_answer": "315/101", "answer_type": "rational", "kind": "expression", "math_text": "89 / (-101) + 4", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -101, \"c\": 4}", "seed": "4718885805802454650", "semantic_fingerprint": "sha256:310ad0314bf3b14d44a023e90ad4e1751a8752ad81844fc92360730cdb9fc07e", "generator_version": "3.0"}
{"id": "v3_val_00002352", "prompt": "Solve for x: x + 12 = 2(x - 479) + 1", "solution_steps": ["Expand: x + 12 = 2x - 958 + 1", "Combine constants: x + 12 = 2x - 957", "Subtract 2x from both sides: -x + 12 = -957", "Subtract 12 from both sides: -x = -969", "Divide both sides by -1: x = 969"], "final_answer": "969", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 12 = 2(x - 479) + 1", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 479, \"d\": 1}", "seed": "5749169426587461613", "semantic_fingerprint": "sha256:79651fdf4404896703335764438982d198be68e1a727036761c029a5b9d7516b", "generator_version": "3.0"}
{"id": "v3_val_00002353", "prompt": "What value of x satisfies -11x - 235 = 7(x + 5)?", "solution_steps": ["Expand: -11x - 235 = 7x + 35", "Subtract 7x from both sides: -18x - 235 = 35", "Add 235 to both sides: -18x = 270", "Divide both sides by -18: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 235 = 7(x + 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": 5, \"e\": -235, \"x\": -15}", "seed": "16768179197796857582", "semantic_fingerprint": "sha256:4cbab7e499129fd87a6cc42ebbcef820d6d0364b1456b259a27318bcb2b405e7", "generator_version": "3.0"}
{"id": "v3_val_00002354", "prompt": "Solve the equation 12x + 2 = 11(x + 80) + 68 for x.", "solution_steps": ["Expand: 12x + 2 = 11x + 880 + 68", "Combine constants: 12x + 2 = 11x + 948", "Subtract 11x from both sides: x + 2 = 948", "Subtract 2 from both sides: x = 946"], "final_answer": "946", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 2 = 11(x + 80) + 68", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 11, \"d\": 80, \"e\": 68}", "seed": "8278599532104280706", "semantic_fingerprint": "sha256:8b6e1686107b890685e1229fc4bc2629d0b2aafe6becd59fcfb79fd409384c35", "generator_version": "3.0"}
{"id": "v3_val_00002355", "prompt": "Compute: 9 - 271 * 900", "solution_steps": ["Multiply: 271 * 900 = 243900", "Subtract: 9 - 243900 = -243891"], "final_answer": "-243891", "answer_type": "integer", "kind": "expression", "math_text": "9 - 271 * 900", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 271, \"c\": 900}", "seed": "3517562520890507107", "semantic_fingerprint": "sha256:2c250de40c58c789cd9239fb257bf80a3027ccafd84b7081a4fecd75adf836dc", "generator_version": "3.0"}
{"id": "v3_val_00002356", "prompt": "Solve for x: x + 283 = 7(x - 58) + 677", "solution_steps": ["Expand: x + 283 = 7x - 406 + 677", "Combine constants: x + 283 = 7x + 271", "Subtract 7x from both sides: -6x + 283 = 271", "Subtract 283 from both sides: -6x = -12", "Divide both sides by -6: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 283 = 7(x - 58) + 677", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 283, \"b\": 7, \"c\": 58, \"e\": 677, \"x\": 2}", "seed": "15159491002984237853", "semantic_fingerprint": "sha256:3789e219bf295cffce1e5181c29a77d007225c1215a3d96359484508eb8084ab", "generator_version": "3.0"}
{"id": "v3_val_00002357", "prompt": "Solve the equation x - 57 = 5(x - 3) - 22 for x.", "solution_steps": ["Expand: x - 57 = 5x - 15 - 22", "Combine constants: x - 57 = 5x - 37", "Subtract 5x from both sides: -4x - 57 = -37", "Add 57 to both sides: -4x = 20", "Divide both sides by -4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 57 = 5(x - 3) - 22", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 5, \"c\": 3, \"e\": -22, \"x\": -5}", "seed": "16108585728765265535", "semantic_fingerprint": "sha256:2cb918fbec43bd6a9ed9fe839f24f6fae415acfa3f22cff1aa0cd43d8c5bf180", "generator_version": "3.0"}
{"id": "v3_val_00002358", "prompt": "Evaluate: (25 - (-109)) * (24 - 3)", "solution_steps": ["Subtract: 25 - (-109) = 134", "Subtract: 24 - 3 = 21", "Multiply: 134 * 21 = 2814"], "final_answer": "2814", "answer_type": "integer", "kind": "expression", "math_text": "(25 - (-109)) * (24 - 3)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -109, \"c\": 24, \"d\": 3}", "seed": "1776007828618805213", "semantic_fingerprint": "sha256:d0488fa99b1cd003ae8239f4cd3ba96a59d05fcc436e77910159d8679fc7f4bc", "generator_version": "3.0"}
{"id": "v3_val_00002359", "prompt": "Find x: 4(x - 6) = 24", "solution_steps": ["Expand: 4x - 24 = 24", "Add 24 to both sides: 4x = 48", "Divide both sides by 4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 6) = 24", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"d\": 24, \"x\": 12}", "seed": "14873143611330537098", "semantic_fingerprint": "sha256:4bf7eab2a6fe926395580cd26fb9a3ae14b724c437565013d2a3865d82f51460", "generator_version": "3.0"}
{"id": "v3_val_00002360", "prompt": "Calculate: (884 / (-67) + (-6)) / (-84 - 196 / 49)", "solution_steps": ["Divide: 884 / (-67) = -884/67", "Add: -884/67 + (-6) = -1286/67", "Divide: 196 / 49 = 4", "Subtract: -84 - 4 = -88", "Divide: (-1286/67) / (-88) = 643/2948"], "final_answer": "643/2948", "answer_type": "rational", "kind": "expression", "math_text": "(884 / (-67) + (-6)) / (-84 - 196 / 49)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n n) n) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 884, \"b\": -67, \"c\": -6, \"d\": -84, \"e\": 196, \"f\": 49}", "seed": "18270067619794543482", "semantic_fingerprint": "sha256:423cd2e6440fc2ce78f6b6df32fb2d21ed7da6e4009305de809e38c52fb51029", "generator_version": "3.0"}
{"id": "v3_val_00002361", "prompt": "Find x: x + 41 = -2(x - 1) + 60", "solution_steps": ["Expand: x + 41 = -2x + 2 + 60", "Combine constants: x + 41 = -2x + 62", "Add 2x to both sides: 3x + 41 = 62", "Subtract 41 from both sides: 3x = 21", "Divide both sides by 3: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 41 = -2(x - 1) + 60", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -2, \"c\": 1, \"e\": 60, \"x\": 7}", "seed": "18428405103628870780", "semantic_fingerprint": "sha256:5c6b2366aed1bc5178acd2aa5de61919e62d724aae27a712e21c27ba8cf41391", "generator_version": "3.0"}
{"id": "v3_val_00002362", "prompt": "Find x: 3(x - 48) - 431 = -7(x + 75)", "solution_steps": ["Expand: 3x - 144 - 431 = -7(x + 75)", "Expand: 3x - 144 - 431 = -7x - 525", "Combine constants: 3x - 575 = -7x - 525", "Add 7x to both sides: 10x - 575 = -525", "Add 575 to both sides: 10x = 50", "Divide both sides by 10: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 48) - 431 = -7(x + 75)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 48, \"c\": -7, \"d\": 75, \"f\": -431, \"x\": 5}", "seed": "1485086053499327965", "semantic_fingerprint": "sha256:de66f0f86a443fd56cd8ae748bf269f7a532c8454f09308b4374cafc85a91c39", "generator_version": "3.0"}
{"id": "v3_val_00002363", "prompt": "What is -4 / (-24 + (-2)) + 102?", "solution_steps": ["Add: -24 + (-2) = -26", "Divide: -4 / (-26) = 2/13", "Add: 2/13 + 102 = 1328/13"], "final_answer": "1328/13", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-24 + (-2)) + 102", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -24, \"c\": -2, \"d\": 102}", "seed": "3842568543124660585", "semantic_fingerprint": "sha256:87d7dc58c7aa7c6e48e58502b1cc50c4af7d609732a67925403185713bf076d6", "generator_version": "3.0"}
{"id": "v3_val_00002364", "prompt": "Calculate: 5 / ((777 - (-921)) / (-90))", "solution_steps": ["Subtract: 777 - (-921) = 1698", "Divide: 1698 / (-90) = -283/15", "Divide: 5 / (-283/15) = -75/283"], "final_answer": "-75/283", "answer_type": "rational", "kind": "expression", "math_text": "5 / ((777 - (-921)) / (-90))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 777, \"c\": -921, \"d\": -90}", "seed": "13914306990503393911", "semantic_fingerprint": "sha256:69503742408e6de93b07439f515226d3e90a5a9614c2d1f20421a0c3d0ab40aa", "generator_version": "3.0"}
{"id": "v3_val_00002365", "prompt": "Solve for x: 9(x - 4) = x", "solution_steps": ["Expand: 9x - 36 = x", "Subtract x from both sides: 8x - 36 = 0", "Add 36 to both sides: 8x = 36", "Divide both sides by 8: x = 9/2"], "final_answer": "9/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 4) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4}", "seed": "8831633322574420100", "semantic_fingerprint": "sha256:850e919b5a87d428e977093002ab16d7539347884de68818ed0e54fa0d612f36", "generator_version": "3.0"}
{"id": "v3_val_00002366", "prompt": "Evaluate: 112 * 3 - (-52)", "solution_steps": ["Multiply: 112 * 3 = 336", "Subtract: 336 - (-52) = 388"], "final_answer": "388", "answer_type": "integer", "kind": "expression", "math_text": "112 * 3 - (-52)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 112, \"b\": 3, \"c\": -52}", "seed": "4134041614058385802", "semantic_fingerprint": "sha256:a44932bc6e9fc4a8a8c113da3106adafd8e12966ce625a173aa4abb9c17ab740", "generator_version": "3.0"}
{"id": "v3_val_00002367", "prompt": "What is 5 / (-95 - (-81) * 32)?", "solution_steps": ["Multiply: -81 * 32 = -2592", "Subtract: -95 - (-2592) = 2497", "Divide: 5 / 2497 = 5/2497"], "final_answer": "5/2497", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-95 - (-81) * 32)", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -95, \"c\": -81, \"d\": 32}", "seed": "208533268408344863", "semantic_fingerprint": "sha256:9681a4aba9fa4dc5549a85772d7f1bd3212cdbf5ca80dc2a3022adbc383d0bfa", "generator_version": "3.0"}
{"id": "v3_val_00002368", "prompt": "Solve for x: 4x + 529 = 11x - 15", "solution_steps": ["Subtract 11x from both sides: -7x + 529 = -15", "Subtract 529 from both sides: -7x = -544", "Divide both sides by -7: x = 544/7"], "final_answer": "544/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x + 529 = 11x - 15", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 529, \"c\": 11, \"d\": 15}", "seed": "12659855846509777590", "semantic_fingerprint": "sha256:171eba274e2b8ce9482a78bd759b48cf958c53676fdf9b13563004e7a32ffafb", "generator_version": "3.0"}
{"id": "v3_val_00002369", "prompt": "Compute: -807 + (-401) - (-59)", "solution_steps": ["Add: -807 + (-401) = -1208", "Subtract: -1208 - (-59) = -1149"], "final_answer": "-1149", "answer_type": "integer", "kind": "expression", "math_text": "-807 + (-401) - (-59)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -807, \"b\": -401, \"c\": -59}", "seed": "13044408248248520759", "semantic_fingerprint": "sha256:079595a300c512031850d75223ace801288f2ace7a5b7a55fe8a66d825c93040", "generator_version": "3.0"}
{"id": "v3_val_00002370", "prompt": "What is 0 * (31 * (-550 + (-9))) - 33 / 83?", "solution_steps": ["Add: -550 + (-9) = -559", "Multiply: 31 * (-559) = -17329", "Multiply: 0 * (-17329) = 0", "Divide: 33 / 83 = 33/83", "Subtract: 0 - 33/83 = -33/83"], "final_answer": "-33/83", "answer_type": "rational", "kind": "expression", "math_text": "0 * (31 * (-550 + (-9))) - 33 / 83", "variable": null, "family": "expression_5op", "shape": "(- (* n (* n (+ n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 31, \"c\": -550, \"d\": -9, \"e\": 33, \"f\": 83}", "seed": "11801467282026180778", "semantic_fingerprint": "sha256:8e77f911b4f19b4f2e0950b05ca2f549f9f8a03a61e21288479b29d1ef172f5b", "generator_version": "3.0"}
{"id": "v3_val_00002371", "prompt": "Calculate: 41 * (24 * 2) + 32 / 86", "solution_steps": ["Multiply: 24 * 2 = 48", "Multiply: 41 * 48 = 1968", "Divide: 32 / 86 = 16/43", "Add: 1968 + 16/43 = 84640/43"], "final_answer": "84640/43", "answer_type": "rational", "kind": "expression", "math_text": "41 * (24 * 2) + 32 / 86", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 24, \"c\": 2, \"d\": 32, \"e\": 86}", "seed": "17640303610017695661", "semantic_fingerprint": "sha256:49e8133ff9792325c2b889be30cd757356c1820aef24e6b4599c6701ba42dc9c", "generator_version": "3.0"}
{"id": "v3_val_00002372", "prompt": "Compute: -35 + 1 + (-80 + (1 - (-953)))", "solution_steps": ["Add: -35 + 1 = -34", "Subtract: 1 - (-953) = 954", "Add: -80 + 954 = 874", "Add: -34 + 874 = 840"], "final_answer": "840", "answer_type": "integer", "kind": "expression", "math_text": "-35 + 1 + (-80 + (1 - (-953)))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 1, \"c\": -80, \"d\": 1, \"e\": -953}", "seed": "13515114351783655091", "semantic_fingerprint": "sha256:f92156413f69f2ff10ac842241b6cf6dbe4999d10a14d5b80d0a75d07223b739", "generator_version": "3.0"}
{"id": "v3_val_00002373", "prompt": "Solve the equation -6(x + 69) + 245 = 7x for x.", "solution_steps": ["Expand: -6x - 414 + 245 = 7x", "Combine constants: -6x - 169 = 7x", "Subtract 7x from both sides: -13x - 169 = 0", "Add 169 to both sides: -13x = 169", "Divide both sides by -13: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 69) + 245 = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 69, \"c\": 7, \"e\": 245, \"x\": -13}", "seed": "14213807176454092366", "semantic_fingerprint": "sha256:14991ab0f64d6978fdbd4dbde23266784d577b415d02e4ff062b4db146df194d", "generator_version": "3.0"}
{"id": "v3_val_00002374", "prompt": "Calculate: -6 - (-7) / (-446)", "solution_steps": ["Divide: -7 / (-446) = 7/446", "Subtract: -6 - 7/446 = -2683/446"], "final_answer": "-2683/446", "answer_type": "rational", "kind": "expression", "math_text": "-6 - (-7) / (-446)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -7, \"c\": -446}", "seed": "16192339614956466449", "semantic_fingerprint": "sha256:09a640af2f1ba998d2229ac534b34a2b1f3281d8fb525e9eca4ce764958e3e93", "generator_version": "3.0"}
{"id": "v3_val_00002375", "prompt": "Solve for x: 6x = x - 40", "solution_steps": ["Subtract x from both sides: 5x = -40", "Divide both sides by 5: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = x - 40", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": -40, \"x\": -8}", "seed": "14588810864288276979", "semantic_fingerprint": "sha256:1e2a9173cc90af14f6a4586305ae883b97a441b5db7b5cc51d251285689ea244", "generator_version": "3.0"}
{"id": "v3_val_00002376", "prompt": "Calculate: -42 * (-27 - (-78) - (-22))", "solution_steps": ["Subtract: -27 - (-78) = 51", "Subtract: 51 - (-22) = 73", "Multiply: -42 * 73 = -3066"], "final_answer": "-3066", "answer_type": "integer", "kind": "expression", "math_text": "-42 * (-27 - (-78) - (-22))", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -27, \"c\": -78, \"d\": -22}", "seed": "15471920761009673889", "semantic_fingerprint": "sha256:f603faf2a5ed08f87bc71f7a3e9137da4c5af6c8d6c4f964c0d1dbdb39da53a5", "generator_version": "3.0"}
{"id": "v3_val_00002377", "prompt": "Compute: -233 / 43 + 53 - (-493)", "solution_steps": ["Divide: -233 / 43 = -233/43", "Add: -233/43 + 53 = 2046/43", "Subtract: 2046/43 - (-493) = 23245/43"], "final_answer": "23245/43", "answer_type": "rational", "kind": "expression", "math_text": "-233 / 43 + 53 - (-493)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -233, \"b\": 43, \"c\": 53, \"d\": -493}", "seed": "12501678894891927734", "semantic_fingerprint": "sha256:4ae4adaadfcab729a5a1ac94e69b1be9eddb838a851b6044f57546520938fdbf", "generator_version": "3.0"}
{"id": "v3_val_00002378", "prompt": "Compute: -549 + 1", "solution_steps": ["Add: -549 + 1 = -548"], "final_answer": "-548", "answer_type": "integer", "kind": "expression", "math_text": "-549 + 1", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -549, \"b\": 1}", "seed": "9448878060525004775", "semantic_fingerprint": "sha256:66b4dcc111123726df9f1aa4c96f03804b1c182cc69c12d06e75991769aca086", "generator_version": "3.0"}
{"id": "v3_val_00002379", "prompt": "Find x: -3(x - 485) = -11x + 918", "solution_steps": ["Expand: -3x + 1455 = -11x + 918", "Add 11x to both sides: 8x + 1455 = 918", "Subtract 1455 from both sides: 8x = -537", "Divide both sides by 8: x = -537/8"], "final_answer": "-537/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 485) = -11x + 918", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 485, \"c\": -11, \"d\": 918}", "seed": "10016457279044596869", "semantic_fingerprint": "sha256:fb21138318396e592f8c7d921b41bd692c1d3f4d23ab011518ad90f807a9bb67", "generator_version": "3.0"}
{"id": "v3_val_00002380", "prompt": "What is -33 / 7?", "solution_steps": ["Divide: -33 / 7 = -33/7"], "final_answer": "-33/7", "answer_type": "rational", "kind": "expression", "math_text": "-33 / 7", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 7}", "seed": "6895391418067748758", "semantic_fingerprint": "sha256:6a21c0ce85f350d45182d3fc8e20a3ebafed58d7dee26e6c6d184e9fe00749a3", "generator_version": "3.0"}
{"id": "v3_val_00002381", "prompt": "What value of x satisfies 5x - 92 = 2(x + 7) - 166?", "solution_steps": ["Expand: 5x - 92 = 2x + 14 - 166", "Combine constants: 5x - 92 = 2x - 152", "Subtract 2x from both sides: 3x - 92 = -152", "Add 92 to both sides: 3x = -60", "Divide both sides by 3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 92 = 2(x + 7) - 166", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 92, \"c\": 2, \"d\": 7, \"f\": -166, \"x\": -20}", "seed": "10699616011329711940", "semantic_fingerprint": "sha256:115a9f3fde2fb06c52d8cef3ec31b066dd7315fc9e102aa1b823b9ff7c891d67", "generator_version": "3.0"}
{"id": "v3_val_00002382", "prompt": "What is (463 - 335) / 2?", "solution_steps": ["Subtract: 463 - 335 = 128", "Divide: 128 / 2 = 64"], "final_answer": "64", "answer_type": "integer", "kind": "expression", "math_text": "(463 - 335) / 2", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 463, \"b\": 335, \"c\": 2}", "seed": "11427100004671826722", "semantic_fingerprint": "sha256:3ac2a87ce6642b6cabdfab4d9919a459ef1628db398a46f7447c29481c94c72f", "generator_version": "3.0"}
{"id": "v3_val_00002383", "prompt": "Solve the equation 8(x - 3) - 2 = 7(x - 975) + 820 for x.", "solution_steps": ["Expand: 8x - 24 - 2 = 7(x - 975) + 820", "Expand: 8x - 24 - 2 = 7x - 6825 + 820", "Combine constants: 8x - 26 = 7x - 6825 + 820", "Combine constants: 8x - 26 = 7x - 6005", "Subtract 7x from both sides: x - 26 = -6005", "Add 26 to both sides: x = -5979"], "final_answer": "-5979", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 3) - 2 = 7(x - 975) + 820", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 2, \"d\": 7, \"e\": 975, \"f\": 820}", "seed": "6857440170656007036", "semantic_fingerprint": "sha256:077e0375ac365b1774576474e641f81d8bf354ed597a371a1903c0fafc50475e", "generator_version": "3.0"}
{"id": "v3_val_00002384", "prompt": "Calculate: -59 * (6 + (-352))", "solution_steps": ["Add: 6 + (-352) = -346", "Multiply: -59 * (-346) = 20414"], "final_answer": "20414", "answer_type": "integer", "kind": "expression", "math_text": "-59 * (6 + (-352))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 6, \"c\": -352}", "seed": "8880584806084071550", "semantic_fingerprint": "sha256:f17d76d23f62a0bb5247831abc58e6b4ef62b527e218dd44aee4c12f8ffc2555", "generator_version": "3.0"}
{"id": "v3_val_00002385", "prompt": "Compute: (-56 - (-827)) * 2", "solution_steps": ["Subtract: -56 - (-827) = 771", "Multiply: 771 * 2 = 1542"], "final_answer": "1542", "answer_type": "integer", "kind": "expression", "math_text": "(-56 - (-827)) * 2", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -827, \"c\": 2}", "seed": "5540847800580126701", "semantic_fingerprint": "sha256:347b37ffaa3a128be7ddb7775945460367ffd6f76151172b6a047387d4118b26", "generator_version": "3.0"}
{"id": "v3_val_00002386", "prompt": "Compute: -58 + 0 * (-55)", "solution_steps": ["Multiply: 0 * (-55) = 0", "Add: -58 + 0 = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-58 + 0 * (-55)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 0, \"c\": -55}", "seed": "12249785468976796346", "semantic_fingerprint": "sha256:a993fea71a75597869f49a900e19d9077c0c24d12ecc3be17a77c7e91ffd19a2", "generator_version": "3.0"}
{"id": "v3_val_00002387", "prompt": "What value of x satisfies x - 4 = -10?", "solution_steps": ["Add 4 to both sides: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = -10", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": -10, \"x\": -6}", "seed": "11282567365375088550", "semantic_fingerprint": "sha256:4bb061497374a80230adb17cab7cb1a9bfe04ae4e8a5512cf77005e1f24d7edf", "generator_version": "3.0"}
{"id": "v3_val_00002388", "prompt": "Find x: x - 271 = 12(x - 7)", "solution_steps": ["Expand: x - 271 = 12x - 84", "Subtract 12x from both sides: -11x - 271 = -84", "Add 271 to both sides: -11x = 187", "Divide both sides by -11: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 271 = 12(x - 7)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"d\": -271, \"x\": -17}", "seed": "4673529832278321251", "semantic_fingerprint": "sha256:3ec8ac5fff0e791903147db1a572ee17634043fed41f698e62f0275ff6cbb0d1", "generator_version": "3.0"}
{"id": "v3_val_00002389", "prompt": "Find x: x - 39 = -10(x + 5) + 143", "solution_steps": ["Expand: x - 39 = -10x - 50 + 143", "Combine constants: x - 39 = -10x + 93", "Add 10x to both sides: 11x - 39 = 93", "Add 39 to both sides: 11x = 132", "Divide both sides by 11: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 39 = -10(x + 5) + 143", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -10, \"c\": 5, \"e\": 143, \"x\": 12}", "seed": "14644812742233476277", "semantic_fingerprint": "sha256:53513ea5be0079d8a9acc462ed3cfd17c71d0ba7f0c16e8c4521c5b5088af18c", "generator_version": "3.0"}
{"id": "v3_val_00002390", "prompt": "Compute: -4 + (-6) + 42", "solution_steps": ["Add: -4 + (-6) = -10", "Add: -10 + 42 = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-6) + 42", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -6, \"c\": 42}", "seed": "3860683202848550266", "semantic_fingerprint": "sha256:a51910b57029de21da4e245a94ecdc7fd6f08523aa5e618584608a397c92fed2", "generator_version": "3.0"}
{"id": "v3_val_00002391", "prompt": "Calculate: (-71 - 6) * (-6) + 14", "solution_steps": ["Subtract: -71 - 6 = -77", "Multiply: -77 * (-6) = 462", "Add: 462 + 14 = 476"], "final_answer": "476", "answer_type": "integer", "kind": "expression", "math_text": "(-71 - 6) * (-6) + 14", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 6, \"c\": -6, \"d\": 14}", "seed": "940070619577604865", "semantic_fingerprint": "sha256:827cc99391330f1570981acc3cb18e3fff3faac79ae45d202a0bb296312de119", "generator_version": "3.0"}
{"id": "v3_val_00002392", "prompt": "Evaluate: (8 - (-8 - 30)) * (134 + (-49 + (-6)))", "solution_steps": ["Subtract: -8 - 30 = -38", "Subtract: 8 - (-38) = 46", "Add: -49 + (-6) = -55", "Add: 134 + (-55) = 79", "Multiply: 46 * 79 = 3634"], "final_answer": "3634", "answer_type": "integer", "kind": "expression", "math_text": "(8 - (-8 - 30)) * (134 + (-49 + (-6)))", "variable": null, "family": "expression_5op", "shape": "(* (- n (- n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"c\": 30, \"d\": 134, \"e\": -49, \"f\": -6}", "seed": "15981187969862784890", "semantic_fingerprint": "sha256:8a18686fc7a10afc0d6c089598ecb1c7f74d5dcba6456d4ef476d1c66bf49b07", "generator_version": "3.0"}
{"id": "v3_val_00002393", "prompt": "Solve for x: x - 8 = -6x", "solution_steps": ["Add 6x to both sides: 7x - 8 = 0", "Add 8 to both sides: 7x = 8", "Divide both sides by 7: x = 8/7"], "final_answer": "8/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8 = -6x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -6}", "seed": "13958516965338248789", "semantic_fingerprint": "sha256:ee049552d206156c5fcb768935ec6f198be6aae2365cbafbcdd20d4946174ad7", "generator_version": "3.0"}
{"id": "v3_val_00002394", "prompt": "Calculate: -2 / 98 * (14 - 490) - (-228)", "solution_steps": ["Divide: -2 / 98 = -1/49", "Subtract: 14 - 490 = -476", "Multiply: (-1/49) * (-476) = 68/7", "Subtract: 68/7 - (-228) = 1664/7"], "final_answer": "1664/7", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 98 * (14 - 490) - (-228)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 98, \"c\": 14, \"d\": 490, \"e\": -228}", "seed": "18339771903398897632", "semantic_fingerprint": "sha256:a4509eb892a00ada4bbda17a6dc069aeabc38457726042a4741c2891c53a3845", "generator_version": "3.0"}
{"id": "v3_val_00002395", "prompt": "Solve the equation x = 8(x + 86) for x.", "solution_steps": ["Expand: x = 8x + 688", "Subtract 8x from both sides: -7x = 688", "Divide both sides by -7: x = -688/7"], "final_answer": "-688/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 8(x + 86)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 86}", "seed": "7222910405054563967", "semantic_fingerprint": "sha256:c62652e043d33b06b53f0dda5e152eace15f2b371300133530a45e0258c876dc", "generator_version": "3.0"}
{"id": "v3_val_00002396", "prompt": "Solve for x: -3(x + 45) = 2(x - 4) - 87", "solution_steps": ["Expand: -3x - 135 = 2(x - 4) - 87", "Expand: -3x - 135 = 2x - 8 - 87", "Combine constants: -3x - 135 = 2x - 95", "Subtract 2x from both sides: -5x - 135 = -95", "Add 135 to both sides: -5x = 40", "Divide both sides by -5: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 45) = 2(x - 4) - 87", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 45, \"c\": 2, \"d\": 4, \"f\": -87, \"x\": -8}", "seed": "16887033579618112922", "semantic_fingerprint": "sha256:01dc34d7c582169f173cbfa4354e9992323cd8e80f6d5dff5ae667498ef5cef1", "generator_version": "3.0"}
{"id": "v3_val_00002397", "prompt": "What is 56 - 40 - 7 + 86?", "solution_steps": ["Subtract: 56 - 40 = 16", "Subtract: 16 - 7 = 9", "Add: 9 + 86 = 95"], "final_answer": "95", "answer_type": "integer", "kind": "expression", "math_text": "56 - 40 - 7 + 86", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 40, \"c\": 7, \"d\": 86}", "seed": "12937986477344331978", "semantic_fingerprint": "sha256:6668c9e8fc309ed3f3e8fedeaa27bfd0a98614d95e0f9f2bafa1702f0e078733", "generator_version": "3.0"}
{"id": "v3_val_00002398", "prompt": "Compute: 0 - (-17) / (-359)", "solution_steps": ["Divide: -17 / (-359) = 17/359", "Subtract: 0 - 17/359 = -17/359"], "final_answer": "-17/359", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-17) / (-359)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -17, \"c\": -359}", "seed": "7207044793300722773", "semantic_fingerprint": "sha256:20597ea7b2f7edb81ccf26925b9d9ed0af5e0135d0e80b41d8d351f4c21a5ab3", "generator_version": "3.0"}
{"id": "v3_val_00002399", "prompt": "What is 97 + 265 + 1?", "solution_steps": ["Add: 97 + 265 = 362", "Add: 362 + 1 = 363"], "final_answer": "363", "answer_type": "integer", "kind": "expression", "math_text": "97 + 265 + 1", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 265, \"c\": 1}", "seed": "6119299098931008564", "semantic_fingerprint": "sha256:afa0fe0e3760193f9e8ca7f0b529ea7ec8917b2d5a8ec395f5c0761505c51229", "generator_version": "3.0"}
{"id": "v3_val_00002400", "prompt": "Evaluate: 3 / (69 * (75 - (-3)))", "solution_steps": ["Subtract: 75 - (-3) = 78", "Multiply: 69 * 78 = 5382", "Divide: 3 / 5382 = 1/1794"], "final_answer": "1/1794", "answer_type": "rational", "kind": "expression", "math_text": "3 / (69 * (75 - (-3)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 69, \"c\": 75, \"d\": -3}", "seed": "15901598511865282422", "semantic_fingerprint": "sha256:3df796396438fd104a6d7abe90877724c77f5cc4aaa7436c6bb92fcaf43cfb52", "generator_version": "3.0"}
{"id": "v3_val_00002401", "prompt": "Evaluate: 404 + 97 - 0", "solution_steps": ["Add: 404 + 97 = 501", "Subtract: 501 - 0 = 501"], "final_answer": "501", "answer_type": "integer", "kind": "expression", "math_text": "404 + 97 - 0", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 404, \"b\": 97, \"c\": 0}", "seed": "1977200688720113514", "semantic_fingerprint": "sha256:87f82b1a7da32632340dfa36e970ad59cb75d9f9099da26770250b3a1a1221a9", "generator_version": "3.0"}
{"id": "v3_val_00002402", "prompt": "What value of x satisfies 5(x - 33) - 20 = x - 7?", "solution_steps": ["Expand: 5x - 165 - 20 = x - 7", "Combine constants: 5x - 185 = x - 7", "Subtract x from both sides: 4x - 185 = -7", "Add 185 to both sides: 4x = 178", "Divide both sides by 4: x = 89/2"], "final_answer": "89/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 33) - 20 = x - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 33, \"c\": 20, \"d\": 7}", "seed": "116604042624750997", "semantic_fingerprint": "sha256:48188e8300989a3629d1e178db703b046d1bef0ccca118dfb7751edbd20b3965", "generator_version": "3.0"}
{"id": "v3_val_00002403", "prompt": "Evaluate: -48 * (-5) - (96 - 73)", "solution_steps": ["Multiply: -48 * (-5) = 240", "Subtract: 96 - 73 = 23", "Subtract: 240 - 23 = 217"], "final_answer": "217", "answer_type": "integer", "kind": "expression", "math_text": "-48 * (-5) - (96 - 73)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -5, \"c\": 96, \"d\": 73}", "seed": "11109459268429923387", "semantic_fingerprint": "sha256:da783d35d05923310536978d4fe05de0d0056077992e785b7c22d42e63cbadc8", "generator_version": "3.0"}
{"id": "v3_val_00002404", "prompt": "Solve the equation 11(x - 166) + 1 = 292 for x.", "solution_steps": ["Expand: 11x - 1826 + 1 = 292", "Combine constants: 11x - 1825 = 292", "Add 1825 to both sides: 11x = 2117", "Divide both sides by 11: x = 2117/11"], "final_answer": "2117/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 166) + 1 = 292", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 166, \"c\": 1, \"d\": 292}", "seed": "1732749896156662818", "semantic_fingerprint": "sha256:07904c53f65cd5a1742879648be6630da0a006ec6215b8db85ef4637ea7c8ddd", "generator_version": "3.0"}
{"id": "v3_val_00002405", "prompt": "Solve the equation -3(x + 263) = 4(x - 44) - 515 for x.", "solution_steps": ["Expand: -3x - 789 = 4(x - 44) - 515", "Expand: -3x - 789 = 4x - 176 - 515", "Combine constants: -3x - 789 = 4x - 691", "Subtract 4x from both sides: -7x - 789 = -691", "Add 789 to both sides: -7x = 98", "Divide both sides by -7: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 263) = 4(x - 44) - 515", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 263, \"c\": 4, \"d\": 44, \"f\": -515, \"x\": -14}", "seed": "277649195009382305", "semantic_fingerprint": "sha256:ada8a1f2cceef4acd07831b3ba3500e02454d95951e5f83a76a38c26eab7a5fe", "generator_version": "3.0"}
{"id": "v3_val_00002406", "prompt": "Compute: (5 - (-4 + (-820))) / (-755)", "solution_steps": ["Add: -4 + (-820) = -824", "Subtract: 5 - (-824) = 829", "Divide: 829 / (-755) = -829/755"], "final_answer": "-829/755", "answer_type": "rational", "kind": "expression", "math_text": "(5 - (-4 + (-820))) / (-755)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -4, \"c\": -820, \"d\": -755}", "seed": "4182138296727726635", "semantic_fingerprint": "sha256:6faf8e11275c4fedd2893162943e62a4e5a244b302a6dfcf71c2e615844042c0", "generator_version": "3.0"}
{"id": "v3_val_00002407", "prompt": "Compute: (56 - 1) / 405", "solution_steps": ["Subtract: 56 - 1 = 55", "Divide: 55 / 405 = 11/81"], "final_answer": "11/81", "answer_type": "rational", "kind": "expression", "math_text": "(56 - 1) / 405", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 1, \"c\": 405}", "seed": "13751437136491710356", "semantic_fingerprint": "sha256:39744a41f046a26765eb615a08ce955a37167a38053dd773d26bc3a53e3739a1", "generator_version": "3.0"}
{"id": "v3_val_00002408", "prompt": "Calculate: -70 * (-4 + 43) / (-27)", "solution_steps": ["Add: -4 + 43 = 39", "Multiply: -70 * 39 = -2730", "Divide: -2730 / (-27) = 910/9"], "final_answer": "910/9", "answer_type": "rational", "kind": "expression", "math_text": "-70 * (-4 + 43) / (-27)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -4, \"c\": 43, \"d\": -27}", "seed": "13737691621238938238", "semantic_fingerprint": "sha256:e338b692f1e01f4b58e38df97a00d80f78eaf2ee92d6bd9c22c57a0aa30a1889", "generator_version": "3.0"}
{"id": "v3_val_00002409", "prompt": "What is 918 + (-1) * (-71 + (-13 - 37))?", "solution_steps": ["Subtract: -13 - 37 = -50", "Add: -71 + (-50) = -121", "Multiply: -1 * (-121) = 121", "Add: 918 + 121 = 1039"], "final_answer": "1039", "answer_type": "integer", "kind": "expression", "math_text": "918 + (-1) * (-71 + (-13 - 37))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (+ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 918, \"b\": -1, \"c\": -71, \"d\": -13, \"e\": 37}", "seed": "15668355556047239737", "semantic_fingerprint": "sha256:f22e22f2bd80288c3077740290429262cb3c361d30f63ba5486be524be7bf15a", "generator_version": "3.0"}
{"id": "v3_val_00002410", "prompt": "What is (1 / (2 / 41) + 0 * (-754)) / 396?", "solution_steps": ["Divide: 2 / 41 = 2/41", "Divide: 1 / (2/41) = 41/2", "Multiply: 0 * (-754) = 0", "Add: 41/2 + 0 = 41/2", "Divide: (41/2) / 396 = 41/792"], "final_answer": "41/792", "answer_type": "rational", "kind": "expression", "math_text": "(1 / (2 / 41) + 0 * (-754)) / 396", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n (/ n n)) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 2, \"c\": 41, \"d\": 0, \"e\": -754, \"f\": 396}", "seed": "11762156169137268337", "semantic_fingerprint": "sha256:2269d0781e3ae508b0a1ef65116c5477a5f8d7fc86f08ac81135c17f771a48d5", "generator_version": "3.0"}
{"id": "v3_val_00002411", "prompt": "What is -573 / 85?", "solution_steps": ["Divide: -573 / 85 = -573/85"], "final_answer": "-573/85", "answer_type": "rational", "kind": "expression", "math_text": "-573 / 85", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -573, \"b\": 85}", "seed": "16038332085953731411", "semantic_fingerprint": "sha256:3e07ab8eafedd93fef13e39b863505cc427db5543c568db04e9490db0c83b2a5", "generator_version": "3.0"}
{"id": "v3_val_00002412", "prompt": "Compute: -454 * (-196 / (-77 - (-96)) - (-8))", "solution_steps": ["Subtract: -77 - (-96) = 19", "Divide: -196 / 19 = -196/19", "Subtract: -196/19 - (-8) = -44/19", "Multiply: -454 * (-44/19) = 19976/19"], "final_answer": "19976/19", "answer_type": "rational", "kind": "expression", "math_text": "-454 * (-196 / (-77 - (-96)) - (-8))", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -454, \"b\": -196, \"c\": -77, \"d\": -96, \"e\": -8}", "seed": "13922789974916110581", "semantic_fingerprint": "sha256:d9d326218b607b88b4197f0d26f1bd3415a4c0f894801bbe346c1494866d4c24", "generator_version": "3.0"}
{"id": "v3_val_00002413", "prompt": "Calculate: 284 + (-2)", "solution_steps": ["Add: 284 + (-2) = 282"], "final_answer": "282", "answer_type": "integer", "kind": "expression", "math_text": "284 + (-2)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 284, \"b\": -2}", "seed": "3667264463797102518", "semantic_fingerprint": "sha256:d245ce6df8b488b1a10976165954ccd230db9c175738fd5c866d0b9e779ef5d1", "generator_version": "3.0"}
{"id": "v3_val_00002414", "prompt": "Calculate: 0 * (-6)", "solution_steps": ["Multiply: 0 * (-6) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-6)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -6}", "seed": "1369448264171641722", "semantic_fingerprint": "sha256:2d1d6dbe75486e9d78dd2a373dc5275d446961c21cf0dea83a179a007cea99bf", "generator_version": "3.0"}
{"id": "v3_val_00002415", "prompt": "Solve for x: 10x - 1 = x + 152", "solution_steps": ["Subtract x from both sides: 9x - 1 = 152", "Add 1 to both sides: 9x = 153", "Divide both sides by 9: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 1 = x + 152", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"d\": 152, \"x\": 17}", "seed": "2580167289952277662", "semantic_fingerprint": "sha256:884b4bc915a467bb7cf0b555613cf95530ee8e098f024fb451d96083aff4c2ca", "generator_version": "3.0"}
{"id": "v3_val_00002416", "prompt": "Evaluate: -95 + (-6)", "solution_steps": ["Add: -95 + (-6) = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "expression", "math_text": "-95 + (-6)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -6}", "seed": "1036200268963810486", "semantic_fingerprint": "sha256:810c50e441ab1b36513f7065045d4f5dca72207f6b0d87e93dd36381e2e3b496", "generator_version": "3.0"}
{"id": "v3_val_00002417", "prompt": "What is -89 / 784?", "solution_steps": ["Divide: -89 / 784 = -89/784"], "final_answer": "-89/784", "answer_type": "rational", "kind": "expression", "math_text": "-89 / 784", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 784}", "seed": "3538435942892382502", "semantic_fingerprint": "sha256:8c5c29855267a3d6a20819f9d9e97a2bd42d9dbfc600c15c1af33feaa3eda7f6", "generator_version": "3.0"}
{"id": "v3_val_00002418", "prompt": "Calculate: 462 - (-1 - 0 * 941)", "solution_steps": ["Multiply: 0 * 941 = 0", "Subtract: -1 - 0 = -1", "Subtract: 462 - (-1) = 463"], "final_answer": "463", "answer_type": "integer", "kind": "expression", "math_text": "462 - (-1 - 0 * 941)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 462, \"b\": -1, \"c\": 0, \"d\": 941}", "seed": "8368650078216037867", "semantic_fingerprint": "sha256:d234c5a7c901c88e1e5f0b99cb19ea1cc94d09dc5461dd2407e1d695c8c8bbc1", "generator_version": "3.0"}
{"id": "v3_val_00002419", "prompt": "Compute: -12 - (-8)", "solution_steps": ["Subtract: -12 - (-8) = -4"], "final_answer": "-4", "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": "10253665317485581554", "semantic_fingerprint": "sha256:d872c421e9a110d1620e4cd85080e309a3ba53dbce63286b1f1726cd1ef6f02b", "generator_version": "3.0"}
{"id": "v3_val_00002420", "prompt": "Compute: -1 * (-4 * 32 + 81)", "solution_steps": ["Multiply: -4 * 32 = -128", "Add: -128 + 81 = -47", "Multiply: -1 * (-47) = 47"], "final_answer": "47", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-4 * 32 + 81)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -4, \"c\": 32, \"d\": 81}", "seed": "11177142256349839607", "semantic_fingerprint": "sha256:78a48757e4fd64d80c729fcc2473601c2a7ea5a3ba2466e0ebe34aad568cdfe9", "generator_version": "3.0"}
{"id": "v3_val_00002421", "prompt": "Calculate: (-70 + (-9) * 7) / 9", "solution_steps": ["Multiply: -9 * 7 = -63", "Add: -70 + (-63) = -133", "Divide: -133 / 9 = -133/9"], "final_answer": "-133/9", "answer_type": "rational", "kind": "expression", "math_text": "(-70 + (-9) * 7) / 9", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -9, \"c\": 7, \"d\": 9}", "seed": "7745539018810674676", "semantic_fingerprint": "sha256:badcc1de5a46ea604ef6ad912f88abe3b524d5c5a139084a165b235c9596b8e0", "generator_version": "3.0"}
{"id": "v3_val_00002422", "prompt": "Solve for x: -12(x - 48) = -11x", "solution_steps": ["Expand: -12x + 576 = -11x", "Add 11x to both sides: -x + 576 = 0", "Subtract 576 from both sides: -x = -576", "Divide both sides by -1: x = 576"], "final_answer": "576", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 48) = -11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 48, \"c\": -11}", "seed": "15238696060668578406", "semantic_fingerprint": "sha256:da0b12f8678324cf3dcfe6995295c8b6f33895ed60f84a74d3b95d3c9fa52bee", "generator_version": "3.0"}
{"id": "v3_val_00002423", "prompt": "Compute: (-9 - 850 * (5 + (-24))) * (-14)", "solution_steps": ["Add: 5 + (-24) = -19", "Multiply: 850 * (-19) = -16150", "Subtract: -9 - (-16150) = 16141", "Multiply: 16141 * (-14) = -225974"], "final_answer": "-225974", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 850 * (5 + (-24))) * (-14)", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 850, \"c\": 5, \"d\": -24, \"e\": -14}", "seed": "17670124081377120460", "semantic_fingerprint": "sha256:ff05af990b815fbdbd4bf1bcec1926622649a5eb9f3f16e4c3ec4d67d2d2f526", "generator_version": "3.0"}
{"id": "v3_val_00002424", "prompt": "Compute: -89 - (-12 * (0 / (-27)) - (-2))", "solution_steps": ["Divide: 0 / (-27) = 0", "Multiply: -12 * 0 = 0", "Subtract: 0 - (-2) = 2", "Subtract: -89 - 2 = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "expression", "math_text": "-89 - (-12 * (0 / (-27)) - (-2))", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -12, \"c\": 0, \"d\": -27, \"e\": -2}", "seed": "1805919161867054222", "semantic_fingerprint": "sha256:c561cac9753def2a4c2b878743560a7a2fd08c10835b35f0c3abc2bb8f495fb8", "generator_version": "3.0"}
{"id": "v3_val_00002425", "prompt": "What value of x satisfies x + 9 = 621?", "solution_steps": ["Subtract 9 from both sides: x = 612"], "final_answer": "612", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9 = 621", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 621}", "seed": "12042354375707298136", "semantic_fingerprint": "sha256:dadb1202f6341bc6173911170c5c7ffd7175cc4ba2432f1d7853b561dd9a29c9", "generator_version": "3.0"}
{"id": "v3_val_00002426", "prompt": "Solve for x: x - 6 = 5x - 54", "solution_steps": ["Subtract 5x from both sides: -4x - 6 = -54", "Add 6 to both sides: -4x = -48", "Divide both sides by -4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 5x - 54", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"d\": -54, \"x\": 12}", "seed": "12823575865109022829", "semantic_fingerprint": "sha256:50af96e96174dea26c46cac5e60a64ce5d7c8eeb0d9b9280c2019c007532c4bb", "generator_version": "3.0"}
{"id": "v3_val_00002427", "prompt": "Find x: 10(x - 7) = 9(x + 767)", "solution_steps": ["Expand: 10x - 70 = 9(x + 767)", "Expand: 10x - 70 = 9x + 6903", "Subtract 9x from both sides: x - 70 = 6903", "Add 70 to both sides: x = 6973"], "final_answer": "6973", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 7) = 9(x + 767)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 9, \"d\": 767}", "seed": "2560994676616361181", "semantic_fingerprint": "sha256:daf92e5d818bd030c23107616314f84e17871f6010a0fa613604bda308022f58", "generator_version": "3.0"}
{"id": "v3_val_00002428", "prompt": "Compute: (-461 - 99) * (251 / (218 - (-3)))", "solution_steps": ["Subtract: -461 - 99 = -560", "Subtract: 218 - (-3) = 221", "Divide: 251 / 221 = 251/221", "Multiply: -560 * (251/221) = -140560/221"], "final_answer": "-140560/221", "answer_type": "rational", "kind": "expression", "math_text": "(-461 - 99) * (251 / (218 - (-3)))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -461, \"b\": 99, \"c\": 251, \"d\": 218, \"e\": -3}", "seed": "9016965627049976439", "semantic_fingerprint": "sha256:d3d2457a9f8cf0c207be79b5e6fe415fc5f4c25fcedbbe1126a28f8ea319fa0c", "generator_version": "3.0"}
{"id": "v3_val_00002429", "prompt": "Solve the equation x + 13 = 3(x - 4) + 70 for x.", "solution_steps": ["Expand: x + 13 = 3x - 12 + 70", "Combine constants: x + 13 = 3x + 58", "Subtract 3x from both sides: -2x + 13 = 58", "Subtract 13 from both sides: -2x = 45", "Divide both sides by -2: x = -45/2"], "final_answer": "-45/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 13 = 3(x - 4) + 70", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 3, \"c\": 4, \"d\": 70}", "seed": "4839915159243280645", "semantic_fingerprint": "sha256:45723af1ae6beb34160a87d13622d69730f08f6146cacaad674d7fb586405df0", "generator_version": "3.0"}
{"id": "v3_val_00002430", "prompt": "Evaluate: 7 * (6 / (-251))", "solution_steps": ["Divide: 6 / (-251) = -6/251", "Multiply: 7 * (-6/251) = -42/251"], "final_answer": "-42/251", "answer_type": "rational", "kind": "expression", "math_text": "7 * (6 / (-251))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": -251}", "seed": "12466508186044070253", "semantic_fingerprint": "sha256:5877a7d1c56fd668389a0c20d46af9eb4fbb7480264a7686c8ddaa7b16e14b52", "generator_version": "3.0"}
{"id": "v3_val_00002431", "prompt": "What is 0 + (-62) - (-456)?", "solution_steps": ["Add: 0 + (-62) = -62", "Subtract: -62 - (-456) = 394"], "final_answer": "394", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-62) - (-456)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -62, \"c\": -456}", "seed": "11480153448695366918", "semantic_fingerprint": "sha256:446fde263fb45ac73893dbab254087bae4f44fed00e4b6bbf90325373126aad9", "generator_version": "3.0"}
{"id": "v3_val_00002432", "prompt": "Calculate: 0 * (-20 + 50)", "solution_steps": ["Add: -20 + 50 = 30", "Multiply: 0 * 30 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-20 + 50)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -20, \"c\": 50}", "seed": "9256391135133615736", "semantic_fingerprint": "sha256:b7e3a818a7a06c555bf596b4699d1dadf87722c971061be80d2c6bcbdd8001a0", "generator_version": "3.0"}
{"id": "v3_val_00002433", "prompt": "Solve the equation 8x - 8 = x for x.", "solution_steps": ["Subtract x from both sides: 7x - 8 = 0", "Add 8 to both sides: 7x = 8", "Divide both sides by 7: x = 8/7"], "final_answer": "8/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 8 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8}", "seed": "2766692637379419426", "semantic_fingerprint": "sha256:a6144da8d55a7fccbbb0c9080ce531b48c48f25e3a1121448c2906eacc029a17", "generator_version": "3.0"}
{"id": "v3_val_00002434", "prompt": "Compute: -50 - 32", "solution_steps": ["Subtract: -50 - 32 = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "expression", "math_text": "-50 - 32", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 32}", "seed": "5116408656314179358", "semantic_fingerprint": "sha256:3601e9e4b2c1a177e66ab3c2e275b7320dd4fa7f90a8790f2ed9811780ff7c01", "generator_version": "3.0"}
{"id": "v3_val_00002435", "prompt": "What is -78 - 17?", "solution_steps": ["Subtract: -78 - 17 = -95"], "final_answer": "-95", "answer_type": "integer", "kind": "expression", "math_text": "-78 - 17", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 17}", "seed": "6186752909586506566", "semantic_fingerprint": "sha256:359d824961f1c2202986b296b1e229246d39021f2d1562f3bbdfeadffc689ed0", "generator_version": "3.0"}
{"id": "v3_val_00002436", "prompt": "Solve for x: 10(x + 7) + 44 = 3x + 51", "solution_steps": ["Expand: 10x + 70 + 44 = 3x + 51", "Combine constants: 10x + 114 = 3x + 51", "Subtract 3x from both sides: 7x + 114 = 51", "Subtract 114 from both sides: 7x = -63", "Divide both sides by 7: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 7) + 44 = 3x + 51", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 44, \"d\": 3, \"f\": 51, \"x\": -9}", "seed": "7826286886386621271", "semantic_fingerprint": "sha256:42620db20a1ba606cb3d0e06a529719590f5f1db2c61e3072115ae3b79f5f562", "generator_version": "3.0"}
{"id": "v3_val_00002437", "prompt": "What value of x satisfies 3(x - 90) - 6 = 11(x + 359)?", "solution_steps": ["Expand: 3x - 270 - 6 = 11(x + 359)", "Expand: 3x - 270 - 6 = 11x + 3949", "Combine constants: 3x - 276 = 11x + 3949", "Subtract 11x from both sides: -8x - 276 = 3949", "Add 276 to both sides: -8x = 4225", "Divide both sides by -8: x = -4225/8"], "final_answer": "-4225/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 90) - 6 = 11(x + 359)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 90, \"c\": 6, \"d\": 11, \"e\": 359}", "seed": "7468865553203014480", "semantic_fingerprint": "sha256:5c39550b05c30f2749c4bf8391c359c08d1d9145f6427bb29bbaedaaced75c3b", "generator_version": "3.0"}
{"id": "v3_val_00002438", "prompt": "What is -495 / (827 + 99)?", "solution_steps": ["Add: 827 + 99 = 926", "Divide: -495 / 926 = -495/926"], "final_answer": "-495/926", "answer_type": "rational", "kind": "expression", "math_text": "-495 / (827 + 99)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -495, \"b\": 827, \"c\": 99}", "seed": "1293607666385584642", "semantic_fingerprint": "sha256:08cbe8123806aea2f5dd68d0ab5e1df38f359bb4288be5223ccafd93cc2be10c", "generator_version": "3.0"}
{"id": "v3_val_00002439", "prompt": "What is 0 + 426?", "solution_steps": ["Add: 0 + 426 = 426"], "final_answer": "426", "answer_type": "integer", "kind": "expression", "math_text": "0 + 426", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 426}", "seed": "7389437152793448772", "semantic_fingerprint": "sha256:c9954fbd3a79f83507fe046093c84839bb79e92cd6cf59855b55e97d7bee9cbe", "generator_version": "3.0"}
{"id": "v3_val_00002440", "prompt": "What value of x satisfies x = 7(x + 16)?", "solution_steps": ["Expand: x = 7x + 112", "Subtract 7x from both sides: -6x = 112", "Divide both sides by -6: x = -56/3"], "final_answer": "-56/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x + 16)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 16}", "seed": "15576005001022966876", "semantic_fingerprint": "sha256:932743d8d271a5db5056a72b7146a33ee1c70a384d1ce598bfaaddfeab88bcb5", "generator_version": "3.0"}
{"id": "v3_val_00002441", "prompt": "Solve the equation -2(x - 9) = x + 69 for x.", "solution_steps": ["Expand: -2x + 18 = x + 69", "Subtract x from both sides: -3x + 18 = 69", "Subtract 18 from both sides: -3x = 51", "Divide both sides by -3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 9) = x + 69", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"d\": 69, \"x\": -17}", "seed": "404986368167548647", "semantic_fingerprint": "sha256:1a006b785f7618d2108cdd921a556abaf5e09cc35e0f6621ab214cf4d7186338", "generator_version": "3.0"}
{"id": "v3_val_00002442", "prompt": "Find x: 10(x + 6) = x - 84", "solution_steps": ["Expand: 10x + 60 = x - 84", "Subtract x from both sides: 9x + 60 = -84", "Subtract 60 from both sides: 9x = -144", "Divide both sides by 9: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 6) = x - 84", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"d\": -84, \"x\": -16}", "seed": "6938291423306682927", "semantic_fingerprint": "sha256:dbc98cf68766a5d0b3b66f2cade910663956ce04b42561d9dcafc6b192cae509", "generator_version": "3.0"}
{"id": "v3_val_00002443", "prompt": "Evaluate: 23 * 0", "solution_steps": ["Multiply: 23 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "23 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 0}", "seed": "18303535498451417884", "semantic_fingerprint": "sha256:bf48e5518967f25f8c2ca217a5e8cc9aaadbaeee7868c1d1a05037a486089650", "generator_version": "3.0"}
{"id": "v3_val_00002444", "prompt": "Find x: 8(x - 881) + 47 = -12(x - 66) - 7", "solution_steps": ["Expand: 8x - 7048 + 47 = -12(x - 66) - 7", "Expand: 8x - 7048 + 47 = -12x + 792 - 7", "Combine constants: 8x - 7001 = -12x + 792 - 7", "Combine constants: 8x - 7001 = -12x + 785", "Add 12x to both sides: 20x - 7001 = 785", "Add 7001 to both sides: 20x = 7786", "Divide both sides by 20: x = 3893/10"], "final_answer": "3893/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 881) + 47 = -12(x - 66) - 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\": 881, \"c\": 47, \"d\": -12, \"e\": 66, \"f\": 7}", "seed": "4936910980473197253", "semantic_fingerprint": "sha256:e82d086f37011c918426ab5ffcba981520348b0d7ff221309d67bc0e86f37586", "generator_version": "3.0"}
{"id": "v3_val_00002445", "prompt": "What is 67 + (-411 - (-1)) * (-1)?", "solution_steps": ["Subtract: -411 - (-1) = -410", "Multiply: -410 * (-1) = 410", "Add: 67 + 410 = 477"], "final_answer": "477", "answer_type": "integer", "kind": "expression", "math_text": "67 + (-411 - (-1)) * (-1)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -411, \"c\": -1, \"d\": -1}", "seed": "11361628709455461418", "semantic_fingerprint": "sha256:da4d7742921df1414f5d3493173ee043444de9c650c23768957b9dcc798236f4", "generator_version": "3.0"}
{"id": "v3_val_00002446", "prompt": "What is -245 - (-7) + (-796)?", "solution_steps": ["Subtract: -245 - (-7) = -238", "Add: -238 + (-796) = -1034"], "final_answer": "-1034", "answer_type": "integer", "kind": "expression", "math_text": "-245 - (-7) + (-796)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -245, \"b\": -7, \"c\": -796}", "seed": "17444196487891838627", "semantic_fingerprint": "sha256:a3ba9ce03f0950e5a1fbd5b4481c1b40112d1d2edab1bcc469c8e4ae3cabb8bd", "generator_version": "3.0"}
{"id": "v3_val_00002447", "prompt": "Compute: -60 - (5 + 9) * (-1) - (-18) * (-2)", "solution_steps": ["Add: 5 + 9 = 14", "Multiply: 14 * (-1) = -14", "Subtract: -60 - (-14) = -46", "Multiply: -18 * (-2) = 36", "Subtract: -46 - 36 = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "expression", "math_text": "-60 - (5 + 9) * (-1) - (-18) * (-2)", "variable": null, "family": "expression_5op", "shape": "(- (- n (* (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 5, \"c\": 9, \"d\": -1, \"e\": -18, \"f\": -2}", "seed": "5070551039496156700", "semantic_fingerprint": "sha256:11c7462d58e965cc66130204b729369426558681b3472fbc86dd814d40689beb", "generator_version": "3.0"}
{"id": "v3_val_00002448", "prompt": "Calculate: -6 + 0", "solution_steps": ["Add: -6 + 0 = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 0}", "seed": "2721939058086027969", "semantic_fingerprint": "sha256:75614137d440701698f302dcfb0dfe13bf9aa50115949506638a9096bc0d1bf8", "generator_version": "3.0"}
{"id": "v3_val_00002449", "prompt": "Compute: -74 / (0 + 689 - 90)", "solution_steps": ["Add: 0 + 689 = 689", "Subtract: 689 - 90 = 599", "Divide: -74 / 599 = -74/599"], "final_answer": "-74/599", "answer_type": "rational", "kind": "expression", "math_text": "-74 / (0 + 689 - 90)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 0, \"c\": 689, \"d\": 90}", "seed": "1236789463570242254", "semantic_fingerprint": "sha256:9a966f04dfcc14ffac2af27c42573b1b33e2f8f9e9fb34405e141dd56484914e", "generator_version": "3.0"}
{"id": "v3_val_00002450", "prompt": "Calculate: 399 + (-322)", "solution_steps": ["Add: 399 + (-322) = 77"], "final_answer": "77", "answer_type": "integer", "kind": "expression", "math_text": "399 + (-322)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 399, \"b\": -322}", "seed": "15271964179024265012", "semantic_fingerprint": "sha256:943ae995c97494896887e95ef7875c3ded8ac054385941c865cc1da970bf8a6b", "generator_version": "3.0"}
{"id": "v3_val_00002451", "prompt": "Compute: -5 + (-75 + (-48)) / 977 - (17 + (-73))", "solution_steps": ["Add: -75 + (-48) = -123", "Divide: -123 / 977 = -123/977", "Add: -5 + (-123/977) = -5008/977", "Add: 17 + (-73) = -56", "Subtract: -5008/977 - (-56) = 49704/977"], "final_answer": "49704/977", "answer_type": "rational", "kind": "expression", "math_text": "-5 + (-75 + (-48)) / 977 - (17 + (-73))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ (+ n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -75, \"c\": -48, \"d\": 977, \"e\": 17, \"f\": -73}", "seed": "11216356297263129393", "semantic_fingerprint": "sha256:46c8132bbc48d026493eac35eaef2c546326bd20bdaf35949fd6e01bcfb96681", "generator_version": "3.0"}
{"id": "v3_val_00002452", "prompt": "Compute: 623 - 13 + (-5)", "solution_steps": ["Subtract: 623 - 13 = 610", "Add: 610 + (-5) = 605"], "final_answer": "605", "answer_type": "integer", "kind": "expression", "math_text": "623 - 13 + (-5)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 623, \"b\": 13, \"c\": -5}", "seed": "17242537967109725421", "semantic_fingerprint": "sha256:3c5bbd131c7017ecc69e701a45e5d969a4972f7865b8e2b186e0fac7abbc68a8", "generator_version": "3.0"}
{"id": "v3_val_00002453", "prompt": "Compute: 703 / 968 - (-892)", "solution_steps": ["Divide: 703 / 968 = 703/968", "Subtract: 703/968 - (-892) = 864159/968"], "final_answer": "864159/968", "answer_type": "rational", "kind": "expression", "math_text": "703 / 968 - (-892)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 703, \"b\": 968, \"c\": -892}", "seed": "11276380779987472556", "semantic_fingerprint": "sha256:56f9f9e455c4a7c45913e9def66d01c92d1143bd0b92844e24722f2474b0a346", "generator_version": "3.0"}
{"id": "v3_val_00002454", "prompt": "Evaluate: (-156 - (-7) * (3 - 0)) / (-1)", "solution_steps": ["Subtract: 3 - 0 = 3", "Multiply: -7 * 3 = -21", "Subtract: -156 - (-21) = -135", "Divide: -135 / (-1) = 135"], "final_answer": "135", "answer_type": "integer", "kind": "expression", "math_text": "(-156 - (-7) * (3 - 0)) / (-1)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (* n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -156, \"b\": -7, \"c\": 3, \"d\": 0, \"e\": -1}", "seed": "17169657114392872760", "semantic_fingerprint": "sha256:2185813eba3cf99ba2de36cf679354de68cedf1e74d4e78b5a85c840d609c0a0", "generator_version": "3.0"}
{"id": "v3_val_00002455", "prompt": "Solve the equation x - 93 = -5(x + 3) for x.", "solution_steps": ["Expand: x - 93 = -5x - 15", "Add 5x to both sides: 6x - 93 = -15", "Add 93 to both sides: 6x = 78", "Divide both sides by 6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 93 = -5(x + 3)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"d\": -93, \"x\": 13}", "seed": "4259595940008856704", "semantic_fingerprint": "sha256:0f86f4a93a6a5c3ffa36f7c2206674419f0f4395088049d69fec09a8afaa1d31", "generator_version": "3.0"}
{"id": "v3_val_00002456", "prompt": "Find x: 5(x - 37) - 19 = 9(x + 9) - 337", "solution_steps": ["Expand: 5x - 185 - 19 = 9(x + 9) - 337", "Expand: 5x - 185 - 19 = 9x + 81 - 337", "Combine constants: 5x - 204 = 9x + 81 - 337", "Combine constants: 5x - 204 = 9x - 256", "Subtract 9x from both sides: -4x - 204 = -256", "Add 204 to both sides: -4x = -52", "Divide both sides by -4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 37) - 19 = 9(x + 9) - 337", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 37, \"c\": 19, \"d\": 9, \"e\": 9, \"g\": -337, \"x\": 13}", "seed": "6340028872088974698", "semantic_fingerprint": "sha256:ac125c261e198c145e73bb1bd8e8d55063ef69e09516820d3a100cc11aac5959", "generator_version": "3.0"}
{"id": "v3_val_00002457", "prompt": "Find x: 11(x + 34) - 436 = 5(x + 2)", "solution_steps": ["Expand: 11x + 374 - 436 = 5(x + 2)", "Expand: 11x + 374 - 436 = 5x + 10", "Combine constants: 11x - 62 = 5x + 10", "Subtract 5x from both sides: 6x - 62 = 10", "Add 62 to both sides: 6x = 72", "Divide both sides by 6: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 34) - 436 = 5(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 34, \"c\": 5, \"d\": 2, \"f\": -436, \"x\": 12}", "seed": "528162290527304748", "semantic_fingerprint": "sha256:f9ae165ba795b95b4f1ec6a831043f32aff3f9362f032f6f29784268fd969582", "generator_version": "3.0"}
{"id": "v3_val_00002458", "prompt": "Evaluate: 621 * (-1) / 57 / 88 + (-97)", "solution_steps": ["Multiply: 621 * (-1) = -621", "Divide: -621 / 57 = -207/19", "Divide: (-207/19) / 88 = -207/1672", "Add: -207/1672 + (-97) = -162391/1672"], "final_answer": "-162391/1672", "answer_type": "rational", "kind": "expression", "math_text": "621 * (-1) / 57 / 88 + (-97)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 621, \"b\": -1, \"c\": 57, \"d\": 88, \"e\": -97}", "seed": "7349849309918333955", "semantic_fingerprint": "sha256:33f3c3be82f03d1ca149bcec250d3ba8a3af81c78606d40fd2bc47ce3746ddbf", "generator_version": "3.0"}
{"id": "v3_val_00002459", "prompt": "What value of x satisfies x + 393 = 4(x + 84)?", "solution_steps": ["Expand: x + 393 = 4x + 336", "Subtract 4x from both sides: -3x + 393 = 336", "Subtract 393 from both sides: -3x = -57", "Divide both sides by -3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 393 = 4(x + 84)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 84, \"d\": 393, \"x\": 19}", "seed": "4481441982638152530", "semantic_fingerprint": "sha256:ce1a0a81dfea78fc7813b4b3571b4b89d8c4a4fd33b4c2d4f8053c16970c97eb", "generator_version": "3.0"}
{"id": "v3_val_00002460", "prompt": "What is (74 + (-4)) / (-2) / (-78)?", "solution_steps": ["Add: 74 + (-4) = 70", "Divide: 70 / (-2) = -35", "Divide: -35 / (-78) = 35/78"], "final_answer": "35/78", "answer_type": "rational", "kind": "expression", "math_text": "(74 + (-4)) / (-2) / (-78)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -4, \"c\": -2, \"d\": -78}", "seed": "6538741758643144895", "semantic_fingerprint": "sha256:22907aa173335f2b3043988c8f8b0b6030c0d12244e90b1367b10ff107311c20", "generator_version": "3.0"}
{"id": "v3_val_00002461", "prompt": "Evaluate: -9 / (-41 * (1 * (-40)))", "solution_steps": ["Multiply: 1 * (-40) = -40", "Multiply: -41 * (-40) = 1640", "Divide: -9 / 1640 = -9/1640"], "final_answer": "-9/1640", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-41 * (1 * (-40)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -41, \"c\": 1, \"d\": -40}", "seed": "10868811393610257134", "semantic_fingerprint": "sha256:57bf7cb7b33b3b7639b0774b740faf311176fab8c34d0cc63918b896a9e4b126", "generator_version": "3.0"}
{"id": "v3_val_00002462", "prompt": "Solve the equation -6x - 10 = 4x for x.", "solution_steps": ["Subtract 4x 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": "-6x - 10 = 4x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"d\": -10, \"x\": -1}", "seed": "10038343243901686333", "semantic_fingerprint": "sha256:295953b99d7c50c3533d5c79677a944151177423878f026506e018d5f1884972", "generator_version": "3.0"}
{"id": "v3_val_00002463", "prompt": "Solve the equation x - 786 = -11x - 930 for x.", "solution_steps": ["Add 11x to both sides: 12x - 786 = -930", "Add 786 to both sides: 12x = -144", "Divide both sides by 12: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 786 = -11x - 930", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 786, \"b\": -11, \"d\": -930, \"x\": -12}", "seed": "9171487417639427302", "semantic_fingerprint": "sha256:fd7fe3f245f10637ca3e5dff45c56cc40bd4761620db601168e6ed70a965c4f7", "generator_version": "3.0"}
{"id": "v3_val_00002464", "prompt": "Calculate: -11 * (-121 + 5 / 130)", "solution_steps": ["Divide: 5 / 130 = 1/26", "Add: -121 + 1/26 = -3145/26", "Multiply: -11 * (-3145/26) = 34595/26"], "final_answer": "34595/26", "answer_type": "rational", "kind": "expression", "math_text": "-11 * (-121 + 5 / 130)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -121, \"c\": 5, \"d\": 130}", "seed": "5568440316975210886", "semantic_fingerprint": "sha256:bc3ad50807e3ac377d086d8e253f8a8575c84f8be71a7c102a3929decab0fb02", "generator_version": "3.0"}
{"id": "v3_val_00002465", "prompt": "Calculate: 631 / 86", "solution_steps": ["Divide: 631 / 86 = 631/86"], "final_answer": "631/86", "answer_type": "rational", "kind": "expression", "math_text": "631 / 86", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 631, \"b\": 86}", "seed": "14755212258948819446", "semantic_fingerprint": "sha256:b4967845f500cf8cdeb7bfc41d48cf79533a0f372a24d78e60e723a16c58382b", "generator_version": "3.0"}
{"id": "v3_val_00002466", "prompt": "Compute: (68 - 6) * (-82 + 58 + 0)", "solution_steps": ["Subtract: 68 - 6 = 62", "Add: -82 + 58 = -24", "Add: -24 + 0 = -24", "Multiply: 62 * (-24) = -1488"], "final_answer": "-1488", "answer_type": "integer", "kind": "expression", "math_text": "(68 - 6) * (-82 + 58 + 0)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 6, \"c\": -82, \"d\": 58, \"e\": 0}", "seed": "4127428089067701960", "semantic_fingerprint": "sha256:af78d6641402e79390c84ffe21f121bedd4a8c0f17f4f82e49ff517103a72ade", "generator_version": "3.0"}
{"id": "v3_val_00002467", "prompt": "What value of x satisfies 9x - 754 = x?", "solution_steps": ["Subtract x from both sides: 8x - 754 = 0", "Add 754 to both sides: 8x = 754", "Divide both sides by 8: x = 377/4"], "final_answer": "377/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 754 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 754}", "seed": "1764001765245840150", "semantic_fingerprint": "sha256:fdc08062c21140c43f27075ded19ffa9ab5aaf58d3e173787670cc306f4bc2ff", "generator_version": "3.0"}
{"id": "v3_val_00002468", "prompt": "What is (43 + (-6) / (-1)) * (-701)?", "solution_steps": ["Divide: -6 / (-1) = 6", "Add: 43 + 6 = 49", "Multiply: 49 * (-701) = -34349"], "final_answer": "-34349", "answer_type": "integer", "kind": "expression", "math_text": "(43 + (-6) / (-1)) * (-701)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -6, \"c\": -1, \"d\": -701}", "seed": "16493053937521693969", "semantic_fingerprint": "sha256:cb0efa0fe670832bac65990f2d34f4e525e0ac8b46daa922266e308de3e8c246", "generator_version": "3.0"}
{"id": "v3_val_00002469", "prompt": "What value of x satisfies -2(x + 46) - 18 = 6(x - 9)?", "solution_steps": ["Expand: -2x - 92 - 18 = 6(x - 9)", "Expand: -2x - 92 - 18 = 6x - 54", "Combine constants: -2x - 110 = 6x - 54", "Subtract 6x from both sides: -8x - 110 = -54", "Add 110 to both sides: -8x = 56", "Divide both sides by -8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 46) - 18 = 6(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 46, \"c\": 6, \"d\": 9, \"f\": -18, \"x\": -7}", "seed": "966740756274750392", "semantic_fingerprint": "sha256:b5c9e27d891dd8a0db3e1628daf35a96cecc291b3af09daae4301bda5569f907", "generator_version": "3.0"}
{"id": "v3_val_00002470", "prompt": "Solve the equation -9x - 20 = -110 for x.", "solution_steps": ["Add 20 to both sides: -9x = -90", "Divide both sides by -9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 20 = -110", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 20, \"d\": -110, \"x\": 10}", "seed": "1114674194732373865", "semantic_fingerprint": "sha256:0e2c7a6a471b0bc05048a84ebade41ed851c1bb84749dbfcc542c824beeb0456", "generator_version": "3.0"}
{"id": "v3_val_00002471", "prompt": "Calculate: -37 * (-43 / (-86))", "solution_steps": ["Divide: -43 / (-86) = 1/2", "Multiply: -37 * (1/2) = -37/2"], "final_answer": "-37/2", "answer_type": "rational", "kind": "expression", "math_text": "-37 * (-43 / (-86))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -43, \"c\": -86}", "seed": "4494979119140260694", "semantic_fingerprint": "sha256:dd1f4dd017f09263e38e6fe9f802fcafad173b1cb27b75bd6e23e682b81eb2b4", "generator_version": "3.0"}
{"id": "v3_val_00002472", "prompt": "Find x: 7(x + 85) - 2 = 9x + 585", "solution_steps": ["Expand: 7x + 595 - 2 = 9x + 585", "Combine constants: 7x + 593 = 9x + 585", "Subtract 9x from both sides: -2x + 593 = 585", "Subtract 593 from both sides: -2x = -8", "Divide both sides by -2: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 85) - 2 = 9x + 585", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 85, \"c\": 2, \"d\": 9, \"f\": 585, \"x\": 4}", "seed": "2007074321641450850", "semantic_fingerprint": "sha256:ac14f7225b40fc0bf913cf1569e9ee264822a337ba1d9cbbfc02da1637139ccc", "generator_version": "3.0"}
{"id": "v3_val_00002473", "prompt": "Solve the equation 2(x + 69) - 6 = 7x + 132 for x.", "solution_steps": ["Expand: 2x + 138 - 6 = 7x + 132", "Combine constants: 2x + 132 = 7x + 132", "Subtract 7x from both sides: -5x + 132 = 132", "Subtract 132 from both sides: -5x = 0", "Divide both sides by -5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 69) - 6 = 7x + 132", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 69, \"c\": 6, \"d\": 7, \"f\": 132, \"x\": 0}", "seed": "5899908011712638192", "semantic_fingerprint": "sha256:7429098d8f1b8286d9b13ee6df0c136b0905de156c1347d40105b2059ddf733b", "generator_version": "3.0"}
{"id": "v3_val_00002474", "prompt": "Calculate: (9 + (-8 - 27)) / (-72) - (75 - 776)", "solution_steps": ["Subtract: -8 - 27 = -35", "Add: 9 + (-35) = -26", "Divide: -26 / (-72) = 13/36", "Subtract: 75 - 776 = -701", "Subtract: 13/36 - (-701) = 25249/36"], "final_answer": "25249/36", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-8 - 27)) / (-72) - (75 - 776)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n (- n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": 27, \"d\": -72, \"e\": 75, \"f\": 776}", "seed": "1744183374457339350", "semantic_fingerprint": "sha256:9ee3fe0b26209a375c40b31c9c1e12b5a7856ff0b7b892806eaad3117ab3903b", "generator_version": "3.0"}
{"id": "v3_val_00002475", "prompt": "Compute: 757 / (-154 + (-85)) * 357", "solution_steps": ["Add: -154 + (-85) = -239", "Divide: 757 / (-239) = -757/239", "Multiply: (-757/239) * 357 = -270249/239"], "final_answer": "-270249/239", "answer_type": "rational", "kind": "expression", "math_text": "757 / (-154 + (-85)) * 357", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 757, \"b\": -154, \"c\": -85, \"d\": 357}", "seed": "12515787678321757577", "semantic_fingerprint": "sha256:eb4603d13b844cd571ad25bbdcad0adfaa5604e7483db55640260c4967277420", "generator_version": "3.0"}
{"id": "v3_val_00002476", "prompt": "Compute: -50 - (-6) + 0 - 478 / (1 - (-214))", "solution_steps": ["Subtract: -50 - (-6) = -44", "Add: -44 + 0 = -44", "Subtract: 1 - (-214) = 215", "Divide: 478 / 215 = 478/215", "Subtract: -44 - 478/215 = -9938/215"], "final_answer": "-9938/215", "answer_type": "rational", "kind": "expression", "math_text": "-50 - (-6) + 0 - 478 / (1 - (-214))", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -6, \"c\": 0, \"d\": 478, \"e\": 1, \"f\": -214}", "seed": "7761420891100376260", "semantic_fingerprint": "sha256:98f84bdbdc1777222ae21e34570385b11ec4a2d496d2e5f57d746a5126906330", "generator_version": "3.0"}
{"id": "v3_val_00002477", "prompt": "Find x: -9(x + 3) = -5(x + 83)", "solution_steps": ["Expand: -9x - 27 = -5(x + 83)", "Expand: -9x - 27 = -5x - 415", "Add 5x to both sides: -4x - 27 = -415", "Add 27 to both sides: -4x = -388", "Divide both sides by -4: x = 97"], "final_answer": "97", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 3) = -5(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\": -5, \"d\": 83}", "seed": "4003472899637547650", "semantic_fingerprint": "sha256:9082ecc61bcadb946fac338d960822a27067b0d4aade01aac0475afebd4e6cde", "generator_version": "3.0"}
{"id": "v3_val_00002478", "prompt": "What is 9 / (-6 + (14 - 47)) * (-290)?", "solution_steps": ["Subtract: 14 - 47 = -33", "Add: -6 + (-33) = -39", "Divide: 9 / (-39) = -3/13", "Multiply: (-3/13) * (-290) = 870/13"], "final_answer": "870/13", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-6 + (14 - 47)) * (-290)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -6, \"c\": 14, \"d\": 47, \"e\": -290}", "seed": "16523879179487490471", "semantic_fingerprint": "sha256:7d7882e09735263577e3eaae863da52ae759bdf3ef591b7837fe291eaeac9020", "generator_version": "3.0"}
{"id": "v3_val_00002479", "prompt": "What value of x satisfies 3(x + 99) + 65 = -5x - 48?", "solution_steps": ["Expand: 3x + 297 + 65 = -5x - 48", "Combine constants: 3x + 362 = -5x - 48", "Add 5x to both sides: 8x + 362 = -48", "Subtract 362 from both sides: 8x = -410", "Divide both sides by 8: x = -205/4"], "final_answer": "-205/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 99) + 65 = -5x - 48", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 99, \"c\": 65, \"d\": -5, \"e\": 48}", "seed": "7586230214749673471", "semantic_fingerprint": "sha256:6b1e4589f2ac440dee2d9e6d07a49dc033cbb5b22680c46dc77a1c8393552097", "generator_version": "3.0"}
{"id": "v3_val_00002480", "prompt": "Find x: x - 3 = -10(x + 83)", "solution_steps": ["Expand: x - 3 = -10x - 830", "Add 10x to both sides: 11x - 3 = -830", "Add 3 to both sides: 11x = -827", "Divide both sides by 11: x = -827/11"], "final_answer": "-827/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 3 = -10(x + 83)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -10, \"c\": 83}", "seed": "11218291972035965028", "semantic_fingerprint": "sha256:18605f03390a39693c3cf40a48945c51a1d76244e0232421c6299e2922e968bc", "generator_version": "3.0"}
{"id": "v3_val_00002481", "prompt": "Calculate: (-9 - (-902)) / (43 / (-632))", "solution_steps": ["Subtract: -9 - (-902) = 893", "Divide: 43 / (-632) = -43/632", "Divide: 893 / (-43/632) = -564376/43"], "final_answer": "-564376/43", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - (-902)) / (43 / (-632))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -902, \"c\": 43, \"d\": -632}", "seed": "9018205488420994136", "semantic_fingerprint": "sha256:b1d91561cf0e3d8a1ffe4b82f8cdfff343bf47ca96cdc04592e43a4e5fbd6d67", "generator_version": "3.0"}
{"id": "v3_val_00002482", "prompt": "Calculate: 969 * (-484)", "solution_steps": ["Multiply: 969 * (-484) = -468996"], "final_answer": "-468996", "answer_type": "integer", "kind": "expression", "math_text": "969 * (-484)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 969, \"b\": -484}", "seed": "11252324365370245184", "semantic_fingerprint": "sha256:b318e8429ac759baf69e3f147af1230559c7b612610dd5894c63a91d820037d6", "generator_version": "3.0"}
{"id": "v3_val_00002483", "prompt": "Calculate: -144 + 0", "solution_steps": ["Add: -144 + 0 = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "expression", "math_text": "-144 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -144, \"b\": 0}", "seed": "8420702633121420132", "semantic_fingerprint": "sha256:2c073c79ea8452a2d752f6be71ea839632c6475af5c814d984b9bb4053f20d7f", "generator_version": "3.0"}
{"id": "v3_val_00002484", "prompt": "What is 46 / (-780) / 6 / (34 / 9)?", "solution_steps": ["Divide: 46 / (-780) = -23/390", "Divide: (-23/390) / 6 = -23/2340", "Divide: 34 / 9 = 34/9", "Divide: (-23/2340) / (34/9) = -23/8840"], "final_answer": "-23/8840", "answer_type": "rational", "kind": "expression", "math_text": "46 / (-780) / 6 / (34 / 9)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -780, \"c\": 6, \"d\": 34, \"e\": 9}", "seed": "10004415168676933476", "semantic_fingerprint": "sha256:93061a821f03e5bf8a6fe33a241d07c6383d13d5a9d179d1dec2f78df5d8d625", "generator_version": "3.0"}
{"id": "v3_val_00002485", "prompt": "Find x: 4(x + 3) - 95 = x", "solution_steps": ["Expand: 4x + 12 - 95 = x", "Combine constants: 4x - 83 = x", "Subtract x from both sides: 3x - 83 = 0", "Add 83 to both sides: 3x = 83", "Divide both sides by 3: x = 83/3"], "final_answer": "83/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 3) - 95 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 95}", "seed": "14134897186757207123", "semantic_fingerprint": "sha256:c0f106cef803cc83d3aafa2cc65f785bed3ad20f117f6f8636f993087b42f8a3", "generator_version": "3.0"}
{"id": "v3_val_00002486", "prompt": "Evaluate: 72 / (-2 - 9)", "solution_steps": ["Subtract: -2 - 9 = -11", "Divide: 72 / (-11) = -72/11"], "final_answer": "-72/11", "answer_type": "rational", "kind": "expression", "math_text": "72 / (-2 - 9)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -2, \"c\": 9}", "seed": "13582628741556139598", "semantic_fingerprint": "sha256:2fa8b79354176b301a70ef11047992ece8de7e77b2f98572b07ca61d9c411d0a", "generator_version": "3.0"}
{"id": "v3_val_00002487", "prompt": "Solve the equation -4x + 88 = 12x + 184 for x.", "solution_steps": ["Subtract 12x from both sides: -16x + 88 = 184", "Subtract 88 from both sides: -16x = 96", "Divide both sides by -16: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 88 = 12x + 184", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 88, \"c\": 12, \"e\": 184, \"x\": -6}", "seed": "16545450958335567304", "semantic_fingerprint": "sha256:2d489eb92f8ef739980fa48c4fe09a8c2dce8d547ce83efdecf5ed489eea2ab9", "generator_version": "3.0"}
{"id": "v3_val_00002488", "prompt": "Find x: -12(x + 6) = -4(x + 8) - 467", "solution_steps": ["Expand: -12x - 72 = -4(x + 8) - 467", "Expand: -12x - 72 = -4x - 32 - 467", "Combine constants: -12x - 72 = -4x - 499", "Add 4x to both sides: -8x - 72 = -499", "Add 72 to both sides: -8x = -427", "Divide both sides by -8: x = 427/8"], "final_answer": "427/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 6) = -4(x + 8) - 467", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 6, \"c\": -4, \"d\": 8, \"e\": 467}", "seed": "9864212912380244353", "semantic_fingerprint": "sha256:1e078d3c880ac051c3eeff8fcfd29f6fe2174e7139e288c2c5628238dc249837", "generator_version": "3.0"}
{"id": "v3_val_00002489", "prompt": "What is (395 + 87) / (-26 / (7 + (-2)))?", "solution_steps": ["Add: 395 + 87 = 482", "Add: 7 + (-2) = 5", "Divide: -26 / 5 = -26/5", "Divide: 482 / (-26/5) = -1205/13"], "final_answer": "-1205/13", "answer_type": "rational", "kind": "expression", "math_text": "(395 + 87) / (-26 / (7 + (-2)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 395, \"b\": 87, \"c\": -26, \"d\": 7, \"e\": -2}", "seed": "2807583493558381538", "semantic_fingerprint": "sha256:87267222e5aad93a28fe7205a836c1c971c4229b64400184c3b3cc0c1de74a7f", "generator_version": "3.0"}
{"id": "v3_val_00002490", "prompt": "Calculate: (64 - (-5)) / 159", "solution_steps": ["Subtract: 64 - (-5) = 69", "Divide: 69 / 159 = 23/53"], "final_answer": "23/53", "answer_type": "rational", "kind": "expression", "math_text": "(64 - (-5)) / 159", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -5, \"c\": 159}", "seed": "4883813655138363597", "semantic_fingerprint": "sha256:ce0d48a895e0338b9e68bac2025e4082afde83ec9cf9824ecb395aeb6fdb4bb4", "generator_version": "3.0"}
{"id": "v3_val_00002491", "prompt": "Solve for x: -6(x - 50) = x + 384", "solution_steps": ["Expand: -6x + 300 = x + 384", "Subtract x from both sides: -7x + 300 = 384", "Subtract 300 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 - 50) = x + 384", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 50, \"d\": 384, \"x\": -12}", "seed": "2617929465345118138", "semantic_fingerprint": "sha256:c106cb03ed2b8614cc80a86cc0ba175d46ab185fe6adb278eee9b76962bd28c5", "generator_version": "3.0"}
{"id": "v3_val_00002492", "prompt": "Evaluate: 0 / (-76) * 920", "solution_steps": ["Divide: 0 / (-76) = 0", "Multiply: 0 * 920 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-76) * 920", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -76, \"c\": 920}", "seed": "6228516055529482742", "semantic_fingerprint": "sha256:4f6bdede8907c94f5fa74d6d4a55e45de328da8ea345f6c4edf4a8080b72246f", "generator_version": "3.0"}
{"id": "v3_val_00002493", "prompt": "Calculate: 84 / (-1 - (-4)) / (-5 * (-10) + 761)", "solution_steps": ["Subtract: -1 - (-4) = 3", "Divide: 84 / 3 = 28", "Multiply: -5 * (-10) = 50", "Add: 50 + 761 = 811", "Divide: 28 / 811 = 28/811"], "final_answer": "28/811", "answer_type": "rational", "kind": "expression", "math_text": "84 / (-1 - (-4)) / (-5 * (-10) + 761)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (- n n)) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -1, \"c\": -4, \"d\": -5, \"e\": -10, \"f\": 761}", "seed": "10597065160163499053", "semantic_fingerprint": "sha256:7eed867b66267d559ff1a529270d2fbce9c48e8f507382bf52032919814611a5", "generator_version": "3.0"}
{"id": "v3_val_00002494", "prompt": "Calculate: -8 - (676 - 962) / (-6)", "solution_steps": ["Subtract: 676 - 962 = -286", "Divide: -286 / (-6) = 143/3", "Subtract: -8 - 143/3 = -167/3"], "final_answer": "-167/3", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (676 - 962) / (-6)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 676, \"c\": 962, \"d\": -6}", "seed": "1193753896284436411", "semantic_fingerprint": "sha256:fb31e0a37fbeb7e06b9d50ccef9782b278cece37c9acc357b8d6c1488867698a", "generator_version": "3.0"}
{"id": "v3_val_00002495", "prompt": "What is -97 * 90 - 465?", "solution_steps": ["Multiply: -97 * 90 = -8730", "Subtract: -8730 - 465 = -9195"], "final_answer": "-9195", "answer_type": "integer", "kind": "expression", "math_text": "-97 * 90 - 465", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 90, \"c\": 465}", "seed": "2355135863230561428", "semantic_fingerprint": "sha256:89d3a21a0a2b422e0767f7e1680409e7f8f779621a95053c0bda02b770af3c9d", "generator_version": "3.0"}
{"id": "v3_val_00002496", "prompt": "What is -838 - (-188) / (-992 - (-1))?", "solution_steps": ["Subtract: -992 - (-1) = -991", "Divide: -188 / (-991) = 188/991", "Subtract: -838 - 188/991 = -830646/991"], "final_answer": "-830646/991", "answer_type": "rational", "kind": "expression", "math_text": "-838 - (-188) / (-992 - (-1))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -838, \"b\": -188, \"c\": -992, \"d\": -1}", "seed": "1910220841078924477", "semantic_fingerprint": "sha256:4dfdb1a68e1be814ff9e7cf8e141f94b2c70dbd38d014822fe93aa3113c822b5", "generator_version": "3.0"}
{"id": "v3_val_00002497", "prompt": "Find x: 8(x - 24) = -5(x + 706)", "solution_steps": ["Expand: 8x - 192 = -5(x + 706)", "Expand: 8x - 192 = -5x - 3530", "Add 5x to both sides: 13x - 192 = -3530", "Add 192 to both sides: 13x = -3338", "Divide both sides by 13: x = -3338/13"], "final_answer": "-3338/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 24) = -5(x + 706)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 24, \"c\": -5, \"d\": 706}", "seed": "10624101374930295788", "semantic_fingerprint": "sha256:ebf769fb276a06865854c064648edbcb4f11ba358678563c9db4cda1a6e996a4", "generator_version": "3.0"}
{"id": "v3_val_00002498", "prompt": "Evaluate: -82 - (-432)", "solution_steps": ["Subtract: -82 - (-432) = 350"], "final_answer": "350", "answer_type": "integer", "kind": "expression", "math_text": "-82 - (-432)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -432}", "seed": "10585521760800774633", "semantic_fingerprint": "sha256:fd087ad57ea8cb158e0d58eb829d552329bee9e0ce174f1f3c58d8cec5ea6615", "generator_version": "3.0"}
{"id": "v3_val_00002499", "prompt": "Calculate: 962 - (-63)", "solution_steps": ["Subtract: 962 - (-63) = 1025"], "final_answer": "1025", "answer_type": "integer", "kind": "expression", "math_text": "962 - (-63)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 962, \"b\": -63}", "seed": "10912063050331003883", "semantic_fingerprint": "sha256:ec2666bd47881cedc06ef47c7158a9838ced7e96d5b15a777e1caa09d1b60f1c", "generator_version": "3.0"}
{"id": "v3_val_00002500", "prompt": "Solve for x: -11x = -10(x + 4)", "solution_steps": ["Expand: -11x = -10x - 40", "Add 10x to both sides: -x = -40", "Divide both sides by -1: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = -10(x + 4)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -10, \"c\": 4}", "seed": "17336487687704157763", "semantic_fingerprint": "sha256:6baa860753110a719da00452e0b4450368766d83088570719dd840977e70fd35", "generator_version": "3.0"}
{"id": "v3_val_00002501", "prompt": "Evaluate: -51 * (-802) / (-47 + 4 + (-856))", "solution_steps": ["Multiply: -51 * (-802) = 40902", "Add: -47 + 4 = -43", "Add: -43 + (-856) = -899", "Divide: 40902 / (-899) = -40902/899"], "final_answer": "-40902/899", "answer_type": "rational", "kind": "expression", "math_text": "-51 * (-802) / (-47 + 4 + (-856))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -802, \"c\": -47, \"d\": 4, \"e\": -856}", "seed": "1488383832884121384", "semantic_fingerprint": "sha256:f22cbafc2a126f3ffeea62f2dd5b3538cc05fd6769a302d11f294462c9573021", "generator_version": "3.0"}
{"id": "v3_val_00002502", "prompt": "Calculate: -667 - (-26)", "solution_steps": ["Subtract: -667 - (-26) = -641"], "final_answer": "-641", "answer_type": "integer", "kind": "expression", "math_text": "-667 - (-26)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -667, \"b\": -26}", "seed": "11931363491600187346", "semantic_fingerprint": "sha256:c20db2b490deaee8888afb3f6ce1cd1da7d8c65e360d53bb36d94252ebaffec7", "generator_version": "3.0"}
{"id": "v3_val_00002503", "prompt": "Evaluate: 0 + 23", "solution_steps": ["Add: 0 + 23 = 23"], "final_answer": "23", "answer_type": "integer", "kind": "expression", "math_text": "0 + 23", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 23}", "seed": "5317862542089838016", "semantic_fingerprint": "sha256:5df5753521365e16570a2a5ea101cd9a5ffa7d31f5a7ad8fcee9ef32e149ce54", "generator_version": "3.0"}
{"id": "v3_val_00002504", "prompt": "Solve the equation 2(x - 654) = x - 78 for x.", "solution_steps": ["Expand: 2x - 1308 = x - 78", "Subtract x from both sides: x - 1308 = -78", "Add 1308 to both sides: x = 1230"], "final_answer": "1230", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 654) = x - 78", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 654, \"c\": 78}", "seed": "2282762662413596056", "semantic_fingerprint": "sha256:fa165e50909a7d8eb5bfd3e3fdcb769b2ee0a5bb3066b76019c769ca2e43f748", "generator_version": "3.0"}
{"id": "v3_val_00002505", "prompt": "Solve the equation 10(x - 41) - 195 = -5(x + 4) - 750 for x.", "solution_steps": ["Expand: 10x - 410 - 195 = -5(x + 4) - 750", "Expand: 10x - 410 - 195 = -5x - 20 - 750", "Combine constants: 10x - 605 = -5x - 20 - 750", "Combine constants: 10x - 605 = -5x - 770", "Add 5x to both sides: 15x - 605 = -770", "Add 605 to both sides: 15x = -165", "Divide both sides by 15: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 41) - 195 = -5(x + 4) - 750", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 41, \"c\": 195, \"d\": -5, \"e\": 4, \"g\": -750, \"x\": -11}", "seed": "7058619642199570973", "semantic_fingerprint": "sha256:c8a9d170dfcad0bd1acf966b4c9a66bb346a694bb7c12e55a3d9af50dc0f5f85", "generator_version": "3.0"}
{"id": "v3_val_00002506", "prompt": "Solve the equation -5(x - 94) - 5 = 9x + 213 for x.", "solution_steps": ["Expand: -5x + 470 - 5 = 9x + 213", "Combine constants: -5x + 465 = 9x + 213", "Subtract 9x from both sides: -14x + 465 = 213", "Subtract 465 from both sides: -14x = -252", "Divide both sides by -14: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 94) - 5 = 9x + 213", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 94, \"c\": 5, \"d\": 9, \"f\": 213, \"x\": 18}", "seed": "4341482174841140469", "semantic_fingerprint": "sha256:01b10a05aa9c255b6c0dbaa6487d3dbcc2c3f0a43b6c11e9b133530236bbdd89", "generator_version": "3.0"}
{"id": "v3_val_00002507", "prompt": "Solve for x: x - 7 = 3(x + 197) - 576", "solution_steps": ["Expand: x - 7 = 3x + 591 - 576", "Combine constants: x - 7 = 3x + 15", "Subtract 3x from both sides: -2x - 7 = 15", "Add 7 to both sides: -2x = 22", "Divide both sides by -2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = 3(x + 197) - 576", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 197, \"e\": -576, \"x\": -11}", "seed": "2060601477633743847", "semantic_fingerprint": "sha256:9926af49b39b5c1ebd44ff1e6713ff5d660a742afe5ddacd6e6a4bc43b5dd419", "generator_version": "3.0"}
{"id": "v3_val_00002508", "prompt": "Compute: 2 - (-930 + 4 + (-2))", "solution_steps": ["Add: -930 + 4 = -926", "Add: -926 + (-2) = -928", "Subtract: 2 - (-928) = 930"], "final_answer": "930", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-930 + 4 + (-2))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -930, \"c\": 4, \"d\": -2}", "seed": "6639384339574978628", "semantic_fingerprint": "sha256:93f24df8f3e13d1bc50aa199c0f8904efa457cbb40029ef9308fb9054b2889f3", "generator_version": "3.0"}
{"id": "v3_val_00002509", "prompt": "Compute: (-667 - 791 * (-8)) / (-651 / (-122))", "solution_steps": ["Multiply: 791 * (-8) = -6328", "Subtract: -667 - (-6328) = 5661", "Divide: -651 / (-122) = 651/122", "Divide: 5661 / (651/122) = 230214/217"], "final_answer": "230214/217", "answer_type": "rational", "kind": "expression", "math_text": "(-667 - 791 * (-8)) / (-651 / (-122))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -667, \"b\": 791, \"c\": -8, \"d\": -651, \"e\": -122}", "seed": "6258155528968002507", "semantic_fingerprint": "sha256:10ba06028000ad51c237ae17b7dd8bc7e6cf7e80ae6a1c4a9221aca15eb92f98", "generator_version": "3.0"}
{"id": "v3_val_00002510", "prompt": "Compute: -4 * (-69) / 406", "solution_steps": ["Multiply: -4 * (-69) = 276", "Divide: 276 / 406 = 138/203"], "final_answer": "138/203", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (-69) / 406", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -69, \"c\": 406}", "seed": "17043135642279603970", "semantic_fingerprint": "sha256:6a3d1c629b772cbdf9a0cd5f282fb8e3da6326cc4a4b45dd6900732e7f5a3188", "generator_version": "3.0"}
{"id": "v3_val_00002511", "prompt": "Evaluate: (74 - (-313 + 467 + 56)) / (57 + 55)", "solution_steps": ["Add: -313 + 467 = 154", "Add: 154 + 56 = 210", "Subtract: 74 - 210 = -136", "Add: 57 + 55 = 112", "Divide: -136 / 112 = -17/14"], "final_answer": "-17/14", "answer_type": "rational", "kind": "expression", "math_text": "(74 - (-313 + 467 + 56)) / (57 + 55)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ (+ n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -313, \"c\": 467, \"d\": 56, \"e\": 57, \"f\": 55}", "seed": "6566799765333331122", "semantic_fingerprint": "sha256:df07e01d20e5852f710d79e0ed7cd549269e440af7cab22b93cbbbe654eba40a", "generator_version": "3.0"}
{"id": "v3_val_00002512", "prompt": "Evaluate: -81 - (28 / (-35) + (-28) - (-4) - 7)", "solution_steps": ["Divide: 28 / (-35) = -4/5", "Add: -4/5 + (-28) = -144/5", "Subtract: -144/5 - (-4) = -124/5", "Subtract: -124/5 - 7 = -159/5", "Subtract: -81 - (-159/5) = -246/5"], "final_answer": "-246/5", "answer_type": "rational", "kind": "expression", "math_text": "-81 - (28 / (-35) + (-28) - (-4) - 7)", "variable": null, "family": "expression_5op", "shape": "(- n (- (- (+ (/ n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 28, \"c\": -35, \"d\": -28, \"e\": -4, \"f\": 7}", "seed": "17606129546674813853", "semantic_fingerprint": "sha256:0d8561410ee974035733ce3617ded97d40f515ad65cb0271b316b6afaa05c6e6", "generator_version": "3.0"}
{"id": "v3_val_00002513", "prompt": "What is -2 - (-9)?", "solution_steps": ["Subtract: -2 - (-9) = 7"], "final_answer": "7", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-9)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -9}", "seed": "14531001707244858680", "semantic_fingerprint": "sha256:3c1c94df48ec9877dd343cbb1115d6b627e222dab7aeb5d92c1ceb5b5a4d0e72", "generator_version": "3.0"}
{"id": "v3_val_00002514", "prompt": "Evaluate: 519 * (-51 - (-33)) - 544 * 800", "solution_steps": ["Subtract: -51 - (-33) = -18", "Multiply: 519 * (-18) = -9342", "Multiply: 544 * 800 = 435200", "Subtract: -9342 - 435200 = -444542"], "final_answer": "-444542", "answer_type": "integer", "kind": "expression", "math_text": "519 * (-51 - (-33)) - 544 * 800", "variable": null, "family": "expression_4op", "shape": "(- (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 519, \"b\": -51, \"c\": -33, \"d\": 544, \"e\": 800}", "seed": "8945304040997956545", "semantic_fingerprint": "sha256:d161a8047e28c4292d0ea01a56b87a30220f172c52293a382b2583de90989990", "generator_version": "3.0"}
{"id": "v3_val_00002515", "prompt": "What is 11 / (-466) + (-47 + (-34))?", "solution_steps": ["Divide: 11 / (-466) = -11/466", "Add: -47 + (-34) = -81", "Add: -11/466 + (-81) = -37757/466"], "final_answer": "-37757/466", "answer_type": "rational", "kind": "expression", "math_text": "11 / (-466) + (-47 + (-34))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -466, \"c\": -47, \"d\": -34}", "seed": "17440097990518168771", "semantic_fingerprint": "sha256:faff5d2398adf3d134c5dc440bce37c2c2a4b1b3fa442332d85ebbe397b33a42", "generator_version": "3.0"}
{"id": "v3_val_00002516", "prompt": "Calculate: (9 - (-5)) / (48 + (-86) + 0)", "solution_steps": ["Subtract: 9 - (-5) = 14", "Add: 48 + (-86) = -38", "Add: -38 + 0 = -38", "Divide: 14 / (-38) = -7/19"], "final_answer": "-7/19", "answer_type": "rational", "kind": "expression", "math_text": "(9 - (-5)) / (48 + (-86) + 0)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -5, \"c\": 48, \"d\": -86, \"e\": 0}", "seed": "4721515677086197168", "semantic_fingerprint": "sha256:73d9de58dbe861b6121a6fc64bc04df64a83435373cf5b9613ff34eb04dd4a6a", "generator_version": "3.0"}
{"id": "v3_val_00002517", "prompt": "Solve the equation 9(x + 6) = 6(x - 47) for x.", "solution_steps": ["Expand: 9x + 54 = 6(x - 47)", "Expand: 9x + 54 = 6x - 282", "Subtract 6x from both sides: 3x + 54 = -282", "Subtract 54 from both sides: 3x = -336", "Divide both sides by 3: x = -112"], "final_answer": "-112", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 6) = 6(x - 47)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 6, \"d\": 47}", "seed": "16403116690941232989", "semantic_fingerprint": "sha256:e5c97d3004ca12df1ed2d277d13f772d60656516c2a17b576f4989911d22e58e", "generator_version": "3.0"}
{"id": "v3_val_00002518", "prompt": "Compute: -276 - (-237) - 6", "solution_steps": ["Subtract: -276 - (-237) = -39", "Subtract: -39 - 6 = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "expression", "math_text": "-276 - (-237) - 6", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -276, \"b\": -237, \"c\": 6}", "seed": "4131615572646422467", "semantic_fingerprint": "sha256:2d92f3123d96ce385c128b05fb744cb8dfc8a88dade2e042456c254d7ff9f440", "generator_version": "3.0"}
{"id": "v3_val_00002519", "prompt": "Compute: -64 - (-43) + 4 - 74", "solution_steps": ["Subtract: -64 - (-43) = -21", "Add: -21 + 4 = -17", "Subtract: -17 - 74 = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "expression", "math_text": "-64 - (-43) + 4 - 74", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -43, \"c\": 4, \"d\": 74}", "seed": "10976473885832484769", "semantic_fingerprint": "sha256:036841a047aa09b5803d961ef527f5c87e5d0cdc02ea36d49056d354f3f2a289", "generator_version": "3.0"}
{"id": "v3_val_00002520", "prompt": "Compute: 5 / (685 / (-33))", "solution_steps": ["Divide: 685 / (-33) = -685/33", "Divide: 5 / (-685/33) = -33/137"], "final_answer": "-33/137", "answer_type": "rational", "kind": "expression", "math_text": "5 / (685 / (-33))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 685, \"c\": -33}", "seed": "5499265661631228135", "semantic_fingerprint": "sha256:bc1c49cbe31eb341408a98225a8e737e1163de4e34bddf05710f295416192687", "generator_version": "3.0"}
{"id": "v3_val_00002521", "prompt": "What is 29 / (70 + 62 - (42 - (-533)))?", "solution_steps": ["Add: 70 + 62 = 132", "Subtract: 42 - (-533) = 575", "Subtract: 132 - 575 = -443", "Divide: 29 / (-443) = -29/443"], "final_answer": "-29/443", "answer_type": "rational", "kind": "expression", "math_text": "29 / (70 + 62 - (42 - (-533)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 70, \"c\": 62, \"d\": 42, \"e\": -533}", "seed": "382637769562946593", "semantic_fingerprint": "sha256:02c53c6e2351dc1d85c4c213d467d022599d2bb5fdbf258b04fd71e198ec8bd1", "generator_version": "3.0"}
{"id": "v3_val_00002522", "prompt": "Evaluate: 8 * (-992) + 4 / 2", "solution_steps": ["Multiply: 8 * (-992) = -7936", "Divide: 4 / 2 = 2", "Add: -7936 + 2 = -7934"], "final_answer": "-7934", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-992) + 4 / 2", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -992, \"c\": 4, \"d\": 2}", "seed": "263673866340129063", "semantic_fingerprint": "sha256:4feea388cb87a5dc49ba585f7312a3911ec0cb74c95bb73478ab6b75c3d19f98", "generator_version": "3.0"}
{"id": "v3_val_00002523", "prompt": "Solve for x: 10(x + 37) + 9 = -4x + 365", "solution_steps": ["Expand: 10x + 370 + 9 = -4x + 365", "Combine constants: 10x + 379 = -4x + 365", "Add 4x to both sides: 14x + 379 = 365", "Subtract 379 from both sides: 14x = -14", "Divide both sides by 14: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 37) + 9 = -4x + 365", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 37, \"c\": 9, \"d\": -4, \"f\": 365, \"x\": -1}", "seed": "6366418187464669931", "semantic_fingerprint": "sha256:aab920a1fe9b550888f76963e06a71fd8b204030c3d64bf4d5ac498821267921", "generator_version": "3.0"}
{"id": "v3_val_00002524", "prompt": "Solve for x: 2(x - 2) + 50 = 50", "solution_steps": ["Expand: 2x - 4 + 50 = 50", "Combine constants: 2x + 46 = 50", "Subtract 46 from both sides: 2x = 4", "Divide both sides by 2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 2) + 50 = 50", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 50, \"e\": 50, \"x\": 2}", "seed": "6463226549500610265", "semantic_fingerprint": "sha256:fdf7a28216e223f02d36cb0a302c4bea7f38c24b77621af4ea45e52ecea7783f", "generator_version": "3.0"}
{"id": "v3_val_00002525", "prompt": "What is -3 - (-7 - 4)?", "solution_steps": ["Subtract: -7 - 4 = -11", "Subtract: -3 - (-11) = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-7 - 4)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -7, \"c\": 4}", "seed": "6659986261949815063", "semantic_fingerprint": "sha256:85ffff109a83c9ef87ced633e52d6ff5660dbeb4eede3ddb6beeb146dedce2a6", "generator_version": "3.0"}
{"id": "v3_val_00002526", "prompt": "Find x: x + 92 = 7(x + 26)", "solution_steps": ["Expand: x + 92 = 7x + 182", "Subtract 7x from both sides: -6x + 92 = 182", "Subtract 92 from both sides: -6x = 90", "Divide both sides by -6: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 92 = 7(x + 26)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 26, \"d\": 92, \"x\": -15}", "seed": "8046343580132728024", "semantic_fingerprint": "sha256:b104f85f3c3fac57ccb4e6e446ce13ee6509f8abe37c2ad85312451a93667eb8", "generator_version": "3.0"}
{"id": "v3_val_00002527", "prompt": "What value of x satisfies 10(x + 298) - 35 = -5x?", "solution_steps": ["Expand: 10x + 2980 - 35 = -5x", "Combine constants: 10x + 2945 = -5x", "Add 5x to both sides: 15x + 2945 = 0", "Subtract 2945 from both sides: 15x = -2945", "Divide both sides by 15: x = -589/3"], "final_answer": "-589/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 298) - 35 = -5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 298, \"c\": 35, \"d\": -5}", "seed": "16068442548869978400", "semantic_fingerprint": "sha256:81ff5909fe92ae0ff90b99b58d7c9baff5fbc4cf8f0e85061163eb7d435e165f", "generator_version": "3.0"}
{"id": "v3_val_00002528", "prompt": "Calculate: -2 * 809 / (-79 - (-45))", "solution_steps": ["Multiply: -2 * 809 = -1618", "Subtract: -79 - (-45) = -34", "Divide: -1618 / (-34) = 809/17"], "final_answer": "809/17", "answer_type": "rational", "kind": "expression", "math_text": "-2 * 809 / (-79 - (-45))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 809, \"c\": -79, \"d\": -45}", "seed": "5421235411980997785", "semantic_fingerprint": "sha256:173608a9af6f32176c22a110fbb3642733d269553032deade12a1fde2dd91b2a", "generator_version": "3.0"}
{"id": "v3_val_00002529", "prompt": "Compute: -438 / (-374) * (-4) + (-16)", "solution_steps": ["Divide: -438 / (-374) = 219/187", "Multiply: (219/187) * (-4) = -876/187", "Add: -876/187 + (-16) = -3868/187"], "final_answer": "-3868/187", "answer_type": "rational", "kind": "expression", "math_text": "-438 / (-374) * (-4) + (-16)", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -438, \"b\": -374, \"c\": -4, \"d\": -16}", "seed": "3805697287207187825", "semantic_fingerprint": "sha256:fef744e33aac4776ee0a2ca90a47591bde55f87e29255b38541bfbe9a9942f37", "generator_version": "3.0"}
{"id": "v3_val_00002530", "prompt": "Calculate: (-86 - (-68 - (-13))) / 76", "solution_steps": ["Subtract: -68 - (-13) = -55", "Subtract: -86 - (-55) = -31", "Divide: -31 / 76 = -31/76"], "final_answer": "-31/76", "answer_type": "rational", "kind": "expression", "math_text": "(-86 - (-68 - (-13))) / 76", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -68, \"c\": -13, \"d\": 76}", "seed": "8695774426285141012", "semantic_fingerprint": "sha256:275c1b12531e4f2286709669569d0bb6b070fc97ea88951b45e5885314b4d03c", "generator_version": "3.0"}
{"id": "v3_val_00002531", "prompt": "Solve the equation 3x + 601 = -12(x + 9) + 949 for x.", "solution_steps": ["Expand: 3x + 601 = -12x - 108 + 949", "Combine constants: 3x + 601 = -12x + 841", "Add 12x to both sides: 15x + 601 = 841", "Subtract 601 from both sides: 15x = 240", "Divide both sides by 15: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 601 = -12(x + 9) + 949", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 601, \"c\": -12, \"d\": 9, \"f\": 949, \"x\": 16}", "seed": "14990556024047859039", "semantic_fingerprint": "sha256:87eee967a3b93ddaf9269f37334d263f3659d91bb6faebc4a426ae0b851de732", "generator_version": "3.0"}
{"id": "v3_val_00002532", "prompt": "Solve for x: 9(x - 88) = 8(x - 153) + 452", "solution_steps": ["Expand: 9x - 792 = 8(x - 153) + 452", "Expand: 9x - 792 = 8x - 1224 + 452", "Combine constants: 9x - 792 = 8x - 772", "Subtract 8x from both sides: x - 792 = -772", "Add 792 to both sides: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 88) = 8(x - 153) + 452", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 88, \"c\": 8, \"d\": 153, \"f\": 452, \"x\": 20}", "seed": "6512046233441834626", "semantic_fingerprint": "sha256:359dd259da2d3076d71663a8b27a72ccafa2c61efff2aeaa03fec7bdfe5f4a0b", "generator_version": "3.0"}
{"id": "v3_val_00002533", "prompt": "Calculate: -159 - (-69 - (-27) - 4 / (-8))", "solution_steps": ["Subtract: -69 - (-27) = -42", "Divide: 4 / (-8) = -1/2", "Subtract: -42 - (-1/2) = -83/2", "Subtract: -159 - (-83/2) = -235/2"], "final_answer": "-235/2", "answer_type": "rational", "kind": "expression", "math_text": "-159 - (-69 - (-27) - 4 / (-8))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -159, \"b\": -69, \"c\": -27, \"d\": 4, \"e\": -8}", "seed": "7136503717307497173", "semantic_fingerprint": "sha256:162b8dfd4b2fb3e3bfc512fb145ae3718e7059e3a473f1b839bf670fe53e97d5", "generator_version": "3.0"}
{"id": "v3_val_00002534", "prompt": "Solve for x: -4(x + 4) + 36 = 10(x + 18) + 50", "solution_steps": ["Expand: -4x - 16 + 36 = 10(x + 18) + 50", "Expand: -4x - 16 + 36 = 10x + 180 + 50", "Combine constants: -4x + 20 = 10x + 180 + 50", "Combine constants: -4x + 20 = 10x + 230", "Subtract 10x from both sides: -14x + 20 = 230", "Subtract 20 from both sides: -14x = 210", "Divide both sides by -14: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 4) + 36 = 10(x + 18) + 50", "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\": 36, \"d\": 10, \"e\": 18, \"g\": 50, \"x\": -15}", "seed": "9734898615371473413", "semantic_fingerprint": "sha256:56cf721d2fd82334c120927e0cb08aa1dc8a3db0cb670e298980b00dc8286062", "generator_version": "3.0"}
{"id": "v3_val_00002535", "prompt": "Compute: -1 / (21 * (-2 * (1 * (-5))))", "solution_steps": ["Multiply: 1 * (-5) = -5", "Multiply: -2 * (-5) = 10", "Multiply: 21 * 10 = 210", "Divide: -1 / 210 = -1/210"], "final_answer": "-1/210", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (21 * (-2 * (1 * (-5))))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (* n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 21, \"c\": -2, \"d\": 1, \"e\": -5}", "seed": "16620810242226398854", "semantic_fingerprint": "sha256:580c69ed657b838dc201ffab9843158dd087414e0503ec2059b7fcaf8067a3fb", "generator_version": "3.0"}
{"id": "v3_val_00002536", "prompt": "What is 4 - (-389 + 8 - 11)?", "solution_steps": ["Add: -389 + 8 = -381", "Subtract: -381 - 11 = -392", "Subtract: 4 - (-392) = 396"], "final_answer": "396", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-389 + 8 - 11)", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -389, \"c\": 8, \"d\": 11}", "seed": "8844635038208718002", "semantic_fingerprint": "sha256:0708617e53c82a5017ec27084893052cac7db26e3882009a7c8dc89de1b824bf", "generator_version": "3.0"}
{"id": "v3_val_00002537", "prompt": "Calculate: (-72 - 96) * 8", "solution_steps": ["Subtract: -72 - 96 = -168", "Multiply: -168 * 8 = -1344"], "final_answer": "-1344", "answer_type": "integer", "kind": "expression", "math_text": "(-72 - 96) * 8", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 96, \"c\": 8}", "seed": "8933655775894783827", "semantic_fingerprint": "sha256:fc6f089dfb9782af4b5d0ccaef75de5fa7ca63a12b35543b23ff71f908b86ab4", "generator_version": "3.0"}
{"id": "v3_val_00002538", "prompt": "What value of x satisfies -5(x + 136) - 6 = 8x - 946?", "solution_steps": ["Expand: -5x - 680 - 6 = 8x - 946", "Combine constants: -5x - 686 = 8x - 946", "Subtract 8x from both sides: -13x - 686 = -946", "Add 686 to both sides: -13x = -260", "Divide both sides by -13: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 136) - 6 = 8x - 946", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 136, \"c\": 6, \"d\": 8, \"f\": -946, \"x\": 20}", "seed": "17818968792555685182", "semantic_fingerprint": "sha256:7664ba08fc49296fb0c9712c784546a4aede6a37d7913feb389a58768ce7e3bf", "generator_version": "3.0"}
{"id": "v3_val_00002539", "prompt": "Calculate: (-11 / 7 + 0) * (-61 / (-5))", "solution_steps": ["Divide: -11 / 7 = -11/7", "Add: -11/7 + 0 = -11/7", "Divide: -61 / (-5) = 61/5", "Multiply: (-11/7) * (61/5) = -671/35"], "final_answer": "-671/35", "answer_type": "rational", "kind": "expression", "math_text": "(-11 / 7 + 0) * (-61 / (-5))", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": 0, \"d\": -61, \"e\": -5}", "seed": "14254656350553703543", "semantic_fingerprint": "sha256:3453a892859ba4da3cc8521ce8bee57e8787c94690c53cbc94d6cd2938c4baad", "generator_version": "3.0"}
{"id": "v3_val_00002540", "prompt": "Evaluate: -314 * 146 - (-900 + 9)", "solution_steps": ["Multiply: -314 * 146 = -45844", "Add: -900 + 9 = -891", "Subtract: -45844 - (-891) = -44953"], "final_answer": "-44953", "answer_type": "integer", "kind": "expression", "math_text": "-314 * 146 - (-900 + 9)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -314, \"b\": 146, \"c\": -900, \"d\": 9}", "seed": "175931853985097292", "semantic_fingerprint": "sha256:f079174098a23934a8dd727623017738367c9893001cd7326cc061767e120a04", "generator_version": "3.0"}
{"id": "v3_val_00002541", "prompt": "Find x: 5x + 6 = -12(x + 7) - 55", "solution_steps": ["Expand: 5x + 6 = -12x - 84 - 55", "Combine constants: 5x + 6 = -12x - 139", "Add 12x to both sides: 17x + 6 = -139", "Subtract 6 from both sides: 17x = -145", "Divide both sides by 17: x = -145/17"], "final_answer": "-145/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x + 6 = -12(x + 7) - 55", "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\": 7, \"e\": 55}", "seed": "14767872217947636870", "semantic_fingerprint": "sha256:2884745b8504fc3cf2b0a90e384b42b90c4c313417dc17848056ea5c6241d1b3", "generator_version": "3.0"}
{"id": "v3_val_00002542", "prompt": "Solve for x: 9x = 3x - 270", "solution_steps": ["Subtract 3x from both sides: 6x = -270", "Divide both sides by 6: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 3x - 270", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 270}", "seed": "10452233543433226742", "semantic_fingerprint": "sha256:2a08b23fd0e600f9b17cc9816b042831a60d5aa9fef71cecaa8a934e50b9a368", "generator_version": "3.0"}
{"id": "v3_val_00002543", "prompt": "Solve the equation 5(x - 92) - 6 = x - 522 for x.", "solution_steps": ["Expand: 5x - 460 - 6 = x - 522", "Combine constants: 5x - 466 = x - 522", "Subtract x from both sides: 4x - 466 = -522", "Add 466 to both sides: 4x = -56", "Divide both sides by 4: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 92) - 6 = x - 522", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 92, \"c\": 6, \"e\": -522, \"x\": -14}", "seed": "12833235028572511623", "semantic_fingerprint": "sha256:349ed4ca8f9bdc21fefed43dd61dca4fe1ed5a62c0cf7106921ebbc927d1b15f", "generator_version": "3.0"}
{"id": "v3_val_00002544", "prompt": "Evaluate: 0 + (-9) + 121 * 8", "solution_steps": ["Add: 0 + (-9) = -9", "Multiply: 121 * 8 = 968", "Add: -9 + 968 = 959"], "final_answer": "959", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-9) + 121 * 8", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": 121, \"d\": 8}", "seed": "7710959335766362523", "semantic_fingerprint": "sha256:ac31cb3334d868859bb7be3a5d1c2ccb54c586f94ba4109522b945efbc1a9d7a", "generator_version": "3.0"}
{"id": "v3_val_00002545", "prompt": "What value of x satisfies x - 299 = -315?", "solution_steps": ["Add 299 to both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 299 = -315", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 299, \"c\": -315, \"x\": -16}", "seed": "8651704066139718106", "semantic_fingerprint": "sha256:426d6108de3f4bab73acfde490e618ce36d4c768ef53b3f41f2968735e145a7e", "generator_version": "3.0"}
{"id": "v3_val_00002546", "prompt": "Compute: -11 - 555", "solution_steps": ["Subtract: -11 - 555 = -566"], "final_answer": "-566", "answer_type": "integer", "kind": "expression", "math_text": "-11 - 555", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 555}", "seed": "4071478997503930785", "semantic_fingerprint": "sha256:6917d174e4005bdb3d32174f8cf274d59c0fbd3f30506f5678a0000c949ec649", "generator_version": "3.0"}
{"id": "v3_val_00002547", "prompt": "Evaluate: 0 * (-72 * (-82) - 3)", "solution_steps": ["Multiply: -72 * (-82) = 5904", "Subtract: 5904 - 3 = 5901", "Multiply: 0 * 5901 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-72 * (-82) - 3)", "variable": null, "family": "expression_3op", "shape": "(* n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -72, \"c\": -82, \"d\": 3}", "seed": "14906538743057219737", "semantic_fingerprint": "sha256:d31f6ef45bcc9d88adb905f38db26dfb4500d0ff8b1c5b034ff7e244a45ba875", "generator_version": "3.0"}
{"id": "v3_val_00002548", "prompt": "Solve for x: 11(x + 27) - 3 = 4x + 329", "solution_steps": ["Expand: 11x + 297 - 3 = 4x + 329", "Combine constants: 11x + 294 = 4x + 329", "Subtract 4x from both sides: 7x + 294 = 329", "Subtract 294 from both sides: 7x = 35", "Divide both sides by 7: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 27) - 3 = 4x + 329", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 27, \"c\": 3, \"d\": 4, \"f\": 329, \"x\": 5}", "seed": "2598801133182968126", "semantic_fingerprint": "sha256:6550e239e12e85f179a1684ab94c56bd94e66f9e8f97e533f6f77648e54ddb69", "generator_version": "3.0"}
{"id": "v3_val_00002549", "prompt": "Compute: -358 + 128 + (-4)", "solution_steps": ["Add: -358 + 128 = -230", "Add: -230 + (-4) = -234"], "final_answer": "-234", "answer_type": "integer", "kind": "expression", "math_text": "-358 + 128 + (-4)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -358, \"b\": 128, \"c\": -4}", "seed": "17010981088176093339", "semantic_fingerprint": "sha256:38f7a6d7b67239a020294d98d481b16e686fc395177e3bb0b3fd4061c97f8e55", "generator_version": "3.0"}
{"id": "v3_val_00002550", "prompt": "Solve for x: 11(x + 5) = -7(x - 10)", "solution_steps": ["Expand: 11x + 55 = -7(x - 10)", "Expand: 11x + 55 = -7x + 70", "Add 7x to both sides: 18x + 55 = 70", "Subtract 55 from both sides: 18x = 15", "Divide both sides by 18: x = 5/6"], "final_answer": "5/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 5) = -7(x - 10)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": -7, \"d\": 10}", "seed": "62918906569413416", "semantic_fingerprint": "sha256:6bcee8bd6a84b97b53cb2f7a76ee0de5894585d9da9207b6c9da986a6aaf37d5", "generator_version": "3.0"}
{"id": "v3_val_00002551", "prompt": "Evaluate: 49 / 358 * (-43) * (-97 - 2)", "solution_steps": ["Divide: 49 / 358 = 49/358", "Multiply: (49/358) * (-43) = -2107/358", "Subtract: -97 - 2 = -99", "Multiply: (-2107/358) * (-99) = 208593/358"], "final_answer": "208593/358", "answer_type": "rational", "kind": "expression", "math_text": "49 / 358 * (-43) * (-97 - 2)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 358, \"c\": -43, \"d\": -97, \"e\": 2}", "seed": "11129260426789518101", "semantic_fingerprint": "sha256:918e49a561dc5f9b87e89d797bd1dd819426b605e2558ddaf0249db58ead3b77", "generator_version": "3.0"}
{"id": "v3_val_00002552", "prompt": "Compute: 254 * (-340) * (-5)", "solution_steps": ["Multiply: 254 * (-340) = -86360", "Multiply: -86360 * (-5) = 431800"], "final_answer": "431800", "answer_type": "integer", "kind": "expression", "math_text": "254 * (-340) * (-5)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 254, \"b\": -340, \"c\": -5}", "seed": "5347207163186379879", "semantic_fingerprint": "sha256:8d84bf6559ee0f596f54e990138ed2dfa622f01b42e7d1d69247e91fdce9e21b", "generator_version": "3.0"}
{"id": "v3_val_00002553", "prompt": "Calculate: -85 * (-3)", "solution_steps": ["Multiply: -85 * (-3) = 255"], "final_answer": "255", "answer_type": "integer", "kind": "expression", "math_text": "-85 * (-3)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -3}", "seed": "6555251760319130191", "semantic_fingerprint": "sha256:19228a37c8a503672ce5ba9b4fbcf33c6e817c524d6fb3bd66f0452506b0b072", "generator_version": "3.0"}
{"id": "v3_val_00002554", "prompt": "Solve for x: 3(x - 6) + 30 = 2x", "solution_steps": ["Expand: 3x - 18 + 30 = 2x", "Combine constants: 3x + 12 = 2x", "Subtract 2x from both sides: x + 12 = 0", "Subtract 12 from both sides: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 6) + 30 = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 30, \"d\": 2}", "seed": "16824156405090031767", "semantic_fingerprint": "sha256:2d18cf6cfee652730aed6f7ef2d5f6070f0a3aea84514e91c088453e9bca0cb1", "generator_version": "3.0"}
{"id": "v3_val_00002555", "prompt": "Compute: -661 - 97", "solution_steps": ["Subtract: -661 - 97 = -758"], "final_answer": "-758", "answer_type": "integer", "kind": "expression", "math_text": "-661 - 97", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -661, \"b\": 97}", "seed": "16248159563893963365", "semantic_fingerprint": "sha256:953a810405444953d8c296b287962518901c928bb0e293fddd63ae269d519cb1", "generator_version": "3.0"}
{"id": "v3_val_00002556", "prompt": "Calculate: -9 - 138 - 165", "solution_steps": ["Subtract: -9 - 138 = -147", "Subtract: -147 - 165 = -312"], "final_answer": "-312", "answer_type": "integer", "kind": "expression", "math_text": "-9 - 138 - 165", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 138, \"c\": 165}", "seed": "14114119557892337789", "semantic_fingerprint": "sha256:0ab6ec993f3d10e3809dc3a84b065636b9dcf5d3492c51cdc88e9de9ce10df66", "generator_version": "3.0"}
{"id": "v3_val_00002557", "prompt": "What value of x satisfies -9x + 4 = -23?", "solution_steps": ["Subtract 4 from both sides: -9x = -27", "Divide both sides by -9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 4 = -23", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"d\": -23, \"x\": 3}", "seed": "11999712931964674115", "semantic_fingerprint": "sha256:88e6442f98b63f2061ab23400f4f67314ee080a337532be69f0d7149a863b482", "generator_version": "3.0"}
{"id": "v3_val_00002558", "prompt": "Compute: (87 + 7) * (6 / (-304))", "solution_steps": ["Add: 87 + 7 = 94", "Divide: 6 / (-304) = -3/152", "Multiply: 94 * (-3/152) = -141/76"], "final_answer": "-141/76", "answer_type": "rational", "kind": "expression", "math_text": "(87 + 7) * (6 / (-304))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 7, \"c\": 6, \"d\": -304}", "seed": "10006840868953661465", "semantic_fingerprint": "sha256:493cc7fcff9b4374c4f8f8be0a6a121910c43eae2675e621ce56f00da1836339", "generator_version": "3.0"}
{"id": "v3_val_00002559", "prompt": "Solve for x: -11(x - 663) - 98 = x", "solution_steps": ["Expand: -11x + 7293 - 98 = x", "Combine constants: -11x + 7195 = x", "Subtract x from both sides: -12x + 7195 = 0", "Subtract 7195 from both sides: -12x = -7195", "Divide both sides by -12: x = 7195/12"], "final_answer": "7195/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 663) - 98 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 663, \"c\": 98}", "seed": "12165319626478388795", "semantic_fingerprint": "sha256:dbce4d16e6155d87c6cf00ba32086587ffaf6eef652abdeabc2fa286450cec9e", "generator_version": "3.0"}
{"id": "v3_val_00002560", "prompt": "Evaluate: 9 / 143", "solution_steps": ["Divide: 9 / 143 = 9/143"], "final_answer": "9/143", "answer_type": "rational", "kind": "expression", "math_text": "9 / 143", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 143}", "seed": "13619567035348942930", "semantic_fingerprint": "sha256:0c333c98ea6bc7625f17e7fe67d599b77e62c74a342955c4c0e88f7c674f0365", "generator_version": "3.0"}
{"id": "v3_val_00002561", "prompt": "What is -1 - 34?", "solution_steps": ["Subtract: -1 - 34 = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "expression", "math_text": "-1 - 34", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 34}", "seed": "14957245181376754752", "semantic_fingerprint": "sha256:bb3cc7dde969f68847b7ea6514ee8f86c79af4be21bee3a0c49b614d8bf99fe1", "generator_version": "3.0"}
{"id": "v3_val_00002562", "prompt": "Compute: (77 + 7) * (-75 / (-12))", "solution_steps": ["Add: 77 + 7 = 84", "Divide: -75 / (-12) = 25/4", "Multiply: 84 * (25/4) = 525"], "final_answer": "525", "answer_type": "integer", "kind": "expression", "math_text": "(77 + 7) * (-75 / (-12))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 7, \"c\": -75, \"d\": -12}", "seed": "14743755244227248498", "semantic_fingerprint": "sha256:e3a9ea347be01622b9dee67f11b4e2a922cc09c50e744deed2ad364221ea66b3", "generator_version": "3.0"}
{"id": "v3_val_00002563", "prompt": "Evaluate: -16 - (-823) - 9 * (-7)", "solution_steps": ["Subtract: -16 - (-823) = 807", "Multiply: 9 * (-7) = -63", "Subtract: 807 - (-63) = 870"], "final_answer": "870", "answer_type": "integer", "kind": "expression", "math_text": "-16 - (-823) - 9 * (-7)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -823, \"c\": 9, \"d\": -7}", "seed": "12218399078745935705", "semantic_fingerprint": "sha256:2dbeca1bcbc014d8d59b4cbe72fb0c9d5c4b71072c9298e8975a98e943c87acd", "generator_version": "3.0"}
{"id": "v3_val_00002564", "prompt": "Evaluate: -23 * (-174 - 39 - 3)", "solution_steps": ["Subtract: -174 - 39 = -213", "Subtract: -213 - 3 = -216", "Multiply: -23 * (-216) = 4968"], "final_answer": "4968", "answer_type": "integer", "kind": "expression", "math_text": "-23 * (-174 - 39 - 3)", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -174, \"c\": 39, \"d\": 3}", "seed": "12708795063868916805", "semantic_fingerprint": "sha256:91bb76d94469f50a91ed7e3951fb4e367551943e68721f4a98432b5651817b3a", "generator_version": "3.0"}
{"id": "v3_val_00002565", "prompt": "Evaluate: 168 + (-75 - (-233) - (-214))", "solution_steps": ["Subtract: -75 - (-233) = 158", "Subtract: 158 - (-214) = 372", "Add: 168 + 372 = 540"], "final_answer": "540", "answer_type": "integer", "kind": "expression", "math_text": "168 + (-75 - (-233) - (-214))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 168, \"b\": -75, \"c\": -233, \"d\": -214}", "seed": "15926530799477562490", "semantic_fingerprint": "sha256:243ec5c431d716d1a32cf6bf2818a9ae9a59caee8c2f8be9397c429a9321215c", "generator_version": "3.0"}
{"id": "v3_val_00002566", "prompt": "What is -21 - (58 + 441)?", "solution_steps": ["Add: 58 + 441 = 499", "Subtract: -21 - 499 = -520"], "final_answer": "-520", "answer_type": "integer", "kind": "expression", "math_text": "-21 - (58 + 441)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 58, \"c\": 441}", "seed": "11347126986513441753", "semantic_fingerprint": "sha256:beab7fca8904444eb2cb5927ed5408612c0d2e0a9925cb8c47406789b7aa27fd", "generator_version": "3.0"}
{"id": "v3_val_00002567", "prompt": "Find x: 3(x + 533) = 4(x + 396) - 4", "solution_steps": ["Expand: 3x + 1599 = 4(x + 396) - 4", "Expand: 3x + 1599 = 4x + 1584 - 4", "Combine constants: 3x + 1599 = 4x + 1580", "Subtract 4x from both sides: -x + 1599 = 1580", "Subtract 1599 from both sides: -x = -19", "Divide both sides by -1: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 533) = 4(x + 396) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 533, \"c\": 4, \"d\": 396, \"e\": 4}", "seed": "3064139338249360993", "semantic_fingerprint": "sha256:2ea6eda662f1f1e1e1acd980e6608f4d6579444b2b4206942a9dff7e495f3558", "generator_version": "3.0"}
{"id": "v3_val_00002568", "prompt": "Compute: (91 + (926 + 86)) * (-354)", "solution_steps": ["Add: 926 + 86 = 1012", "Add: 91 + 1012 = 1103", "Multiply: 1103 * (-354) = -390462"], "final_answer": "-390462", "answer_type": "integer", "kind": "expression", "math_text": "(91 + (926 + 86)) * (-354)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 926, \"c\": 86, \"d\": -354}", "seed": "10312744827120287575", "semantic_fingerprint": "sha256:69f717b89b928f84f89610556fb6b389695b655a89d4cd78988adad12d2fe976", "generator_version": "3.0"}
{"id": "v3_val_00002569", "prompt": "Calculate: 47 / (-4)", "solution_steps": ["Divide: 47 / (-4) = -47/4"], "final_answer": "-47/4", "answer_type": "rational", "kind": "expression", "math_text": "47 / (-4)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -4}", "seed": "2275229970797461372", "semantic_fingerprint": "sha256:24efb5c0abbb935f28e3f29a080753451b9ac9d434afb910e19f5f52f0ed85ed", "generator_version": "3.0"}
{"id": "v3_val_00002570", "prompt": "Compute: -44 - (-2)", "solution_steps": ["Subtract: -44 - (-2) = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "expression", "math_text": "-44 - (-2)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -2}", "seed": "4825857860288251265", "semantic_fingerprint": "sha256:557954af9c6d25b99634b9d94d024b50c52a207260c186945d69a273ec118526", "generator_version": "3.0"}
{"id": "v3_val_00002571", "prompt": "Find x: x - 6 = 5(x + 27) + 68", "solution_steps": ["Expand: x - 6 = 5x + 135 + 68", "Combine constants: x - 6 = 5x + 203", "Subtract 5x from both sides: -4x - 6 = 203", "Add 6 to both sides: -4x = 209", "Divide both sides by -4: x = -209/4"], "final_answer": "-209/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6 = 5(x + 27) + 68", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 27, \"d\": 68}", "seed": "5576783630607645898", "semantic_fingerprint": "sha256:1503a384bf6a0a842eaedabc848e35b69b3faf0e346d87c183b6ca69627113fd", "generator_version": "3.0"}
{"id": "v3_val_00002572", "prompt": "What is -58 * (-978 / (-67))?", "solution_steps": ["Divide: -978 / (-67) = 978/67", "Multiply: -58 * (978/67) = -56724/67"], "final_answer": "-56724/67", "answer_type": "rational", "kind": "expression", "math_text": "-58 * (-978 / (-67))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -978, \"c\": -67}", "seed": "14090664007412624735", "semantic_fingerprint": "sha256:b475ba58daead948f645ee63786b40710c05adc26b7e9cddda48989edb5e0306", "generator_version": "3.0"}
{"id": "v3_val_00002573", "prompt": "What is 409 * (8 + (3 + (782 - 3)))?", "solution_steps": ["Subtract: 782 - 3 = 779", "Add: 3 + 779 = 782", "Add: 8 + 782 = 790", "Multiply: 409 * 790 = 323110"], "final_answer": "323110", "answer_type": "integer", "kind": "expression", "math_text": "409 * (8 + (3 + (782 - 3)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (+ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 409, \"b\": 8, \"c\": 3, \"d\": 782, \"e\": 3}", "seed": "4988997978216887732", "semantic_fingerprint": "sha256:68429d63bb6484a409f84316584a6e46d781b1ecfcadb334853bf8966a9a60c4", "generator_version": "3.0"}
{"id": "v3_val_00002574", "prompt": "What is -309 * (-52) / (-12)?", "solution_steps": ["Multiply: -309 * (-52) = 16068", "Divide: 16068 / (-12) = -1339"], "final_answer": "-1339", "answer_type": "integer", "kind": "expression", "math_text": "-309 * (-52) / (-12)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -309, \"b\": -52, \"c\": -12}", "seed": "12433389767312904498", "semantic_fingerprint": "sha256:536cefb4ab3877c2ecef26dec64cc71da0ef8521ca3304d573b1294f9523f400", "generator_version": "3.0"}
{"id": "v3_val_00002575", "prompt": "Compute: 263 / (-15 * (-74)) * 1", "solution_steps": ["Multiply: -15 * (-74) = 1110", "Divide: 263 / 1110 = 263/1110", "Multiply: (263/1110) * 1 = 263/1110"], "final_answer": "263/1110", "answer_type": "rational", "kind": "expression", "math_text": "263 / (-15 * (-74)) * 1", "variable": null, "family": "expression_3op", "shape": "(* (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 263, \"b\": -15, \"c\": -74, \"d\": 1}", "seed": "17550701253473387227", "semantic_fingerprint": "sha256:8fa576c91c3032cec842bb5d84ef3c9bf4818bfcbf7d5ff988344bd6eeaf0997", "generator_version": "3.0"}
{"id": "v3_val_00002576", "prompt": "What is -18 * 9 - 425?", "solution_steps": ["Multiply: -18 * 9 = -162", "Subtract: -162 - 425 = -587"], "final_answer": "-587", "answer_type": "integer", "kind": "expression", "math_text": "-18 * 9 - 425", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 9, \"c\": 425}", "seed": "15734467305159344773", "semantic_fingerprint": "sha256:0f14fcad36125d1ea75ca5de80aaa1f77fc7e19eebbba95ff7cdfa1a5476859a", "generator_version": "3.0"}
{"id": "v3_val_00002577", "prompt": "Evaluate: 208 + (-74) + (-364) + (-92)", "solution_steps": ["Add: 208 + (-74) = 134", "Add: 134 + (-364) = -230", "Add: -230 + (-92) = -322"], "final_answer": "-322", "answer_type": "integer", "kind": "expression", "math_text": "208 + (-74) + (-364) + (-92)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 208, \"b\": -74, \"c\": -364, \"d\": -92}", "seed": "12234361653418107859", "semantic_fingerprint": "sha256:41324923f2ae14f1a02ce6d94338a70dfbe62b4d31f6d42c86eba4925d4de7db", "generator_version": "3.0"}
{"id": "v3_val_00002578", "prompt": "Solve for x: 7x + 18 = -7(x + 92) + 75", "solution_steps": ["Expand: 7x + 18 = -7x - 644 + 75", "Combine constants: 7x + 18 = -7x - 569", "Add 7x to both sides: 14x + 18 = -569", "Subtract 18 from both sides: 14x = -587", "Divide both sides by 14: x = -587/14"], "final_answer": "-587/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 18 = -7(x + 92) + 75", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 18, \"c\": -7, \"d\": 92, \"e\": 75}", "seed": "1290664770971332550", "semantic_fingerprint": "sha256:ea1d17e865cec30d8cbc3512d905528a033a8a9e51ad01ba22b080261c65c63a", "generator_version": "3.0"}
{"id": "v3_val_00002579", "prompt": "Compute: -184 - 7 / (-68 + (736 + 79))", "solution_steps": ["Add: 736 + 79 = 815", "Add: -68 + 815 = 747", "Divide: 7 / 747 = 7/747", "Subtract: -184 - 7/747 = -137455/747"], "final_answer": "-137455/747", "answer_type": "rational", "kind": "expression", "math_text": "-184 - 7 / (-68 + (736 + 79))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -184, \"b\": 7, \"c\": -68, \"d\": 736, \"e\": 79}", "seed": "6899485632665548792", "semantic_fingerprint": "sha256:1df3939a6c9d9e59db26b4eefe57373e14aca578c0bd8c343a212bfd55f93cbb", "generator_version": "3.0"}
{"id": "v3_val_00002580", "prompt": "Evaluate: -64 - (-72 - (-447)) - (61 + 79 + (-6))", "solution_steps": ["Subtract: -72 - (-447) = 375", "Subtract: -64 - 375 = -439", "Add: 61 + 79 = 140", "Add: 140 + (-6) = 134", "Subtract: -439 - 134 = -573"], "final_answer": "-573", "answer_type": "integer", "kind": "expression", "math_text": "-64 - (-72 - (-447)) - (61 + 79 + (-6))", "variable": null, "family": "expression_5op", "shape": "(- (- n (- n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -72, \"c\": -447, \"d\": 61, \"e\": 79, \"f\": -6}", "seed": "46872157855219742", "semantic_fingerprint": "sha256:cf3474ca51d307b1497f7347b2c4b7bf70221eb10892154f7e68e5232fb4f1dd", "generator_version": "3.0"}
{"id": "v3_val_00002581", "prompt": "What value of x satisfies -7x - 91 = -6(x - 51) - 408?", "solution_steps": ["Expand: -7x - 91 = -6x + 306 - 408", "Combine constants: -7x - 91 = -6x - 102", "Add 6x to both sides: -x - 91 = -102", "Add 91 to both sides: -x = -11", "Divide both sides by -1: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 91 = -6(x - 51) - 408", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 91, \"c\": -6, \"d\": 51, \"f\": -408, \"x\": 11}", "seed": "9554161623690329303", "semantic_fingerprint": "sha256:83667c847de8162a9b3951175500817668a0eb2bacdbfc8f7ebcb7bb45ea9eaa", "generator_version": "3.0"}
{"id": "v3_val_00002582", "prompt": "Solve for x: -10x - 95 = 10(x - 91) + 995", "solution_steps": ["Expand: -10x - 95 = 10x - 910 + 995", "Combine constants: -10x - 95 = 10x + 85", "Subtract 10x from both sides: -20x - 95 = 85", "Add 95 to both sides: -20x = 180", "Divide both sides by -20: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 95 = 10(x - 91) + 995", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 95, \"c\": 10, \"d\": 91, \"f\": 995, \"x\": -9}", "seed": "11450712734581810145", "semantic_fingerprint": "sha256:258a3a6ce8cf2931641fbbafac05b1900aa5e9f22af815f912cd0a2808f0173b", "generator_version": "3.0"}
{"id": "v3_val_00002583", "prompt": "Solve for x: 5(x - 6) + 78 = 7(x - 4) + 94", "solution_steps": ["Expand: 5x - 30 + 78 = 7(x - 4) + 94", "Expand: 5x - 30 + 78 = 7x - 28 + 94", "Combine constants: 5x + 48 = 7x - 28 + 94", "Combine constants: 5x + 48 = 7x + 66", "Subtract 7x from both sides: -2x + 48 = 66", "Subtract 48 from both sides: -2x = 18", "Divide both sides by -2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 6) + 78 = 7(x - 4) + 94", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 78, \"d\": 7, \"e\": 4, \"g\": 94, \"x\": -9}", "seed": "7738460628107717807", "semantic_fingerprint": "sha256:cfef4a2f7b8e566212a1a4db24378723d3605d846c0ab3a19caad23a7461b534", "generator_version": "3.0"}
{"id": "v3_val_00002584", "prompt": "Solve the equation -11(x + 9) - 21 = x for x.", "solution_steps": ["Expand: -11x - 99 - 21 = x", "Combine constants: -11x - 120 = x", "Subtract x from both sides: -12x - 120 = 0", "Add 120 to both sides: -12x = 120", "Divide both sides by -12: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 9) - 21 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 9, \"d\": -21, \"x\": -10}", "seed": "3643511382434683645", "semantic_fingerprint": "sha256:010a33f216efce18d9c5fc5efd4b876e6f24c5612c269abe4f1e94fc10ce530d", "generator_version": "3.0"}
{"id": "v3_val_00002585", "prompt": "Evaluate: 55 * (-6 * (-22 * (-9 - (-7))))", "solution_steps": ["Subtract: -9 - (-7) = -2", "Multiply: -22 * (-2) = 44", "Multiply: -6 * 44 = -264", "Multiply: 55 * (-264) = -14520"], "final_answer": "-14520", "answer_type": "integer", "kind": "expression", "math_text": "55 * (-6 * (-22 * (-9 - (-7))))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (* n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -6, \"c\": -22, \"d\": -9, \"e\": -7}", "seed": "4167085742702358412", "semantic_fingerprint": "sha256:a4b08066c4a8d1bee326db206423d26966985de6804fa2b38da9e3e7033f9de9", "generator_version": "3.0"}
{"id": "v3_val_00002586", "prompt": "Evaluate: 10 / (8 - (-5)) + 42 - (-52) * 63", "solution_steps": ["Subtract: 8 - (-5) = 13", "Divide: 10 / 13 = 10/13", "Add: 10/13 + 42 = 556/13", "Multiply: -52 * 63 = -3276", "Subtract: 556/13 - (-3276) = 43144/13"], "final_answer": "43144/13", "answer_type": "rational", "kind": "expression", "math_text": "10 / (8 - (-5)) + 42 - (-52) * 63", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ n (- n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": -5, \"d\": 42, \"e\": -52, \"f\": 63}", "seed": "5602309545970068856", "semantic_fingerprint": "sha256:a626baf064fc96e02e5006ef9ed6272c7337395c8b014bd88949ad86a594737a", "generator_version": "3.0"}
{"id": "v3_val_00002587", "prompt": "Evaluate: (-63 + 4) / 25", "solution_steps": ["Add: -63 + 4 = -59", "Divide: -59 / 25 = -59/25"], "final_answer": "-59/25", "answer_type": "rational", "kind": "expression", "math_text": "(-63 + 4) / 25", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 4, \"c\": 25}", "seed": "11063766028160756538", "semantic_fingerprint": "sha256:36f87159e15fa1c2ee8e834ef5b4833f1f0c32137ee0c27cb45c1f5038b08051", "generator_version": "3.0"}
{"id": "v3_val_00002588", "prompt": "Calculate: 0 + (-52)", "solution_steps": ["Add: 0 + (-52) = -52"], "final_answer": "-52", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-52)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -52}", "seed": "7312571388045970756", "semantic_fingerprint": "sha256:30be21a342cf86cd2472c5f13b8a36076acabef23563bad1d7905acd647a2c4c", "generator_version": "3.0"}
{"id": "v3_val_00002589", "prompt": "Compute: -5 * 5 / 3 * (-4)", "solution_steps": ["Multiply: -5 * 5 = -25", "Divide: -25 / 3 = -25/3", "Multiply: (-25/3) * (-4) = 100/3"], "final_answer": "100/3", "answer_type": "rational", "kind": "expression", "math_text": "-5 * 5 / 3 * (-4)", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": 3, \"d\": -4}", "seed": "9952597683945435464", "semantic_fingerprint": "sha256:b02c021f1416cae9d8b0c7f570a59e8c500ac370e01b7ca0ff5595c8488af182", "generator_version": "3.0"}
{"id": "v3_val_00002590", "prompt": "Solve for x: x = 11x + 70", "solution_steps": ["Subtract 11x from both sides: -10x = 70", "Divide both sides by -10: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 11x + 70", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 70, \"x\": -7}", "seed": "16810613351329993235", "semantic_fingerprint": "sha256:bd911c9960edee43e6ac5a873520d4f0157a7e388367a2e1118c4c8af27ee4aa", "generator_version": "3.0"}
{"id": "v3_val_00002591", "prompt": "What is -1 / (-5) * (-9)?", "solution_steps": ["Divide: -1 / (-5) = 1/5", "Multiply: (1/5) * (-9) = -9/5"], "final_answer": "-9/5", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-5) * (-9)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -5, \"c\": -9}", "seed": "14042115000327502063", "semantic_fingerprint": "sha256:19cc6749656d878b7465ad90579e25435d55435cd703ad55dc2c9b15dd611316", "generator_version": "3.0"}
{"id": "v3_val_00002592", "prompt": "What is 94 * (-3)?", "solution_steps": ["Multiply: 94 * (-3) = -282"], "final_answer": "-282", "answer_type": "integer", "kind": "expression", "math_text": "94 * (-3)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -3}", "seed": "12605936053507573984", "semantic_fingerprint": "sha256:accdad011e36191eed0e4593a03e62961a80fb7c36422ef2c69d04e06ddeb7eb", "generator_version": "3.0"}
{"id": "v3_val_00002593", "prompt": "Compute: 21 / 17", "solution_steps": ["Divide: 21 / 17 = 21/17"], "final_answer": "21/17", "answer_type": "rational", "kind": "expression", "math_text": "21 / 17", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 17}", "seed": "14895932724439773449", "semantic_fingerprint": "sha256:ad4c2ffa3f58d61d5995b172a5943ab4b3abaf5d33c29eeca55a2b2472ac7248", "generator_version": "3.0"}
{"id": "v3_val_00002594", "prompt": "Evaluate: -26 * (-6) - 1 / (-8)", "solution_steps": ["Multiply: -26 * (-6) = 156", "Divide: 1 / (-8) = -1/8", "Subtract: 156 - (-1/8) = 1249/8"], "final_answer": "1249/8", "answer_type": "rational", "kind": "expression", "math_text": "-26 * (-6) - 1 / (-8)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -6, \"c\": 1, \"d\": -8}", "seed": "3284443355911799388", "semantic_fingerprint": "sha256:375afeb59fb82f097c060ae8a0f1570ffbd4a2c847182a4f7925d3061379dda9", "generator_version": "3.0"}
{"id": "v3_val_00002595", "prompt": "Evaluate: -23 / 60 + 1", "solution_steps": ["Divide: -23 / 60 = -23/60", "Add: -23/60 + 1 = 37/60"], "final_answer": "37/60", "answer_type": "rational", "kind": "expression", "math_text": "-23 / 60 + 1", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 60, \"c\": 1}", "seed": "13372818964411293446", "semantic_fingerprint": "sha256:18e685505b840ef900ed4c253f6b1766905e3bfb0c92517456974ae79f45be47", "generator_version": "3.0"}
{"id": "v3_val_00002596", "prompt": "What value of x satisfies 12(x + 80) + 66 = 942?", "solution_steps": ["Expand: 12x + 960 + 66 = 942", "Combine constants: 12x + 1026 = 942", "Subtract 1026 from both sides: 12x = -84", "Divide both sides by 12: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 80) + 66 = 942", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 80, \"c\": 66, \"e\": 942, \"x\": -7}", "seed": "11986305158092224720", "semantic_fingerprint": "sha256:d190a3f63da12a5299046fa5b750af1ab76cfbf4de402748c51ca89dbb03c143", "generator_version": "3.0"}
{"id": "v3_val_00002597", "prompt": "Calculate: 79 + (-58) * (-1)", "solution_steps": ["Multiply: -58 * (-1) = 58", "Add: 79 + 58 = 137"], "final_answer": "137", "answer_type": "integer", "kind": "expression", "math_text": "79 + (-58) * (-1)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -58, \"c\": -1}", "seed": "3435815069277514445", "semantic_fingerprint": "sha256:7d98669daeb1a7002af631ff753b56c9db55e5730aef31678e7cbfe6c444472f", "generator_version": "3.0"}
{"id": "v3_val_00002598", "prompt": "Evaluate: 89 + (-5) - 6", "solution_steps": ["Add: 89 + (-5) = 84", "Subtract: 84 - 6 = 78"], "final_answer": "78", "answer_type": "integer", "kind": "expression", "math_text": "89 + (-5) - 6", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -5, \"c\": 6}", "seed": "8675172997881657397", "semantic_fingerprint": "sha256:14f7c0e50076efb0a477776daa620f20121f4d0edd4a70ea6eda9231be887ab0", "generator_version": "3.0"}
{"id": "v3_val_00002599", "prompt": "Solve the equation 8(x - 4) + 275 = 12(x - 58) + 995 for x.", "solution_steps": ["Expand: 8x - 32 + 275 = 12(x - 58) + 995", "Expand: 8x - 32 + 275 = 12x - 696 + 995", "Combine constants: 8x + 243 = 12x - 696 + 995", "Combine constants: 8x + 243 = 12x + 299", "Subtract 12x from both sides: -4x + 243 = 299", "Subtract 243 from both sides: -4x = 56", "Divide both sides by -4: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 4) + 275 = 12(x - 58) + 995", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 275, \"d\": 12, \"e\": 58, \"g\": 995, \"x\": -14}", "seed": "1298626217118769525", "semantic_fingerprint": "sha256:19239087adcdc75d52be694466dd7a3841c9c4ed25e9ea094757870008f4cbf0", "generator_version": "3.0"}
{"id": "v3_val_00002600", "prompt": "Solve for x: 8x = 6x", "solution_steps": ["Subtract 6x from both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 6x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6}", "seed": "12349621326360307166", "semantic_fingerprint": "sha256:fa23094f10c2d22e0abe06c0244c20ac41f8a2107869c0b0443b30e50b1ad615", "generator_version": "3.0"}
{"id": "v3_val_00002601", "prompt": "Solve for x: 12x + 21 = 3(x - 2)", "solution_steps": ["Expand: 12x + 21 = 3x - 6", "Subtract 3x from both sides: 9x + 21 = -6", "Subtract 21 from both sides: 9x = -27", "Divide both sides by 9: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 21 = 3(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 2, \"e\": 21, \"x\": -3}", "seed": "12006230408052498654", "semantic_fingerprint": "sha256:a989befa62d4698eed242ff7be0dd5c236484641b5042625b44203c765969f3c", "generator_version": "3.0"}
{"id": "v3_val_00002602", "prompt": "What value of x satisfies -12(x - 42) = 6(x - 527) - 7?", "solution_steps": ["Expand: -12x + 504 = 6(x - 527) - 7", "Expand: -12x + 504 = 6x - 3162 - 7", "Combine constants: -12x + 504 = 6x - 3169", "Subtract 6x from both sides: -18x + 504 = -3169", "Subtract 504 from both sides: -18x = -3673", "Divide both sides by -18: x = 3673/18"], "final_answer": "3673/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 42) = 6(x - 527) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 42, \"c\": 6, \"d\": 527, \"e\": 7}", "seed": "10776680720416346877", "semantic_fingerprint": "sha256:1e7a77fe432a0338d74f48506ad4a1a4be8b9352a59a485327cfe32018a8572e", "generator_version": "3.0"}
{"id": "v3_val_00002603", "prompt": "What value of x satisfies 5x - 94 = 3(x - 8) - 49?", "solution_steps": ["Expand: 5x - 94 = 3x - 24 - 49", "Combine constants: 5x - 94 = 3x - 73", "Subtract 3x from both sides: 2x - 94 = -73", "Add 94 to both sides: 2x = 21", "Divide both sides by 2: x = 21/2"], "final_answer": "21/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 94 = 3(x - 8) - 49", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 94, \"c\": 3, \"d\": 8, \"e\": 49}", "seed": "3502458004338311195", "semantic_fingerprint": "sha256:c3c395b7606015dc450e623b22b87679cc54a0151db28c2f28a1b38a2e8a61a0", "generator_version": "3.0"}
{"id": "v3_val_00002604", "prompt": "Compute: -6 + (0 - (-441)) / (-37)", "solution_steps": ["Subtract: 0 - (-441) = 441", "Divide: 441 / (-37) = -441/37", "Add: -6 + (-441/37) = -663/37"], "final_answer": "-663/37", "answer_type": "rational", "kind": "expression", "math_text": "-6 + (0 - (-441)) / (-37)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 0, \"c\": -441, \"d\": -37}", "seed": "7711666501324485902", "semantic_fingerprint": "sha256:0a381dd3864d44abd0006cd85bede62d4c85de1346f0c64a86941ea6c0a9faa5", "generator_version": "3.0"}
{"id": "v3_val_00002605", "prompt": "Solve for x: -7(x - 97) - 7 = 693", "solution_steps": ["Expand: -7x + 679 - 7 = 693", "Combine constants: -7x + 672 = 693", "Subtract 672 from both sides: -7x = 21", "Divide both sides by -7: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 97) - 7 = 693", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 97, \"c\": 7, \"e\": 693, \"x\": -3}", "seed": "8055795392625062289", "semantic_fingerprint": "sha256:d6ee881df7d9bea1995689d5a5f82914d2ecfa20ea4afc141390a63d290d7f58", "generator_version": "3.0"}
{"id": "v3_val_00002606", "prompt": "Evaluate: -62 + (-8) / 23 * (-55)", "solution_steps": ["Divide: -8 / 23 = -8/23", "Multiply: (-8/23) * (-55) = 440/23", "Add: -62 + 440/23 = -986/23"], "final_answer": "-986/23", "answer_type": "rational", "kind": "expression", "math_text": "-62 + (-8) / 23 * (-55)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -8, \"c\": 23, \"d\": -55}", "seed": "15451791168920464879", "semantic_fingerprint": "sha256:43a72245ac81305b1d09707df4406ab05469e7da5ae32ccb1726abf7db7806b5", "generator_version": "3.0"}
{"id": "v3_val_00002607", "prompt": "Solve for x: 8x - 42 = 5x", "solution_steps": ["Subtract 5x 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": "8x - 42 = 5x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"d\": -42, \"x\": 14}", "seed": "18309835922527941219", "semantic_fingerprint": "sha256:b1ed3b42a4c533cbcf74d0b79dd549945abee90a6c2419021baf0e361ecc7108", "generator_version": "3.0"}
{"id": "v3_val_00002608", "prompt": "What is -42 + 31 + (-8)?", "solution_steps": ["Add: -42 + 31 = -11", "Add: -11 + (-8) = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "-42 + 31 + (-8)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 31, \"c\": -8}", "seed": "7165813727110692380", "semantic_fingerprint": "sha256:d45eb59ad19e4c7ae72cc1db9190f33e10453871f80186226c151cd2b5c3e2e7", "generator_version": "3.0"}
{"id": "v3_val_00002609", "prompt": "Evaluate: -79 - (-4 + 96)", "solution_steps": ["Add: -4 + 96 = 92", "Subtract: -79 - 92 = -171"], "final_answer": "-171", "answer_type": "integer", "kind": "expression", "math_text": "-79 - (-4 + 96)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -4, \"c\": 96}", "seed": "6416525941135359966", "semantic_fingerprint": "sha256:3af5341ca529e77a6d87ab12bd5d77e1dc6544aff6d30f541f451eaca599770f", "generator_version": "3.0"}
{"id": "v3_val_00002610", "prompt": "Find x: -2(x - 4) + 12 = 8x", "solution_steps": ["Expand: -2x + 8 + 12 = 8x", "Combine constants: -2x + 20 = 8x", "Subtract 8x from both sides: -10x + 20 = 0", "Subtract 20 from both sides: -10x = -20", "Divide both sides by -10: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 4) + 12 = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": 8, \"e\": 12, \"x\": 2}", "seed": "18426595707972712841", "semantic_fingerprint": "sha256:11cd917f9e4991e28c2c39644dff45be9591fd93360b76b9c7b6b0776ad4e558", "generator_version": "3.0"}
{"id": "v3_val_00002611", "prompt": "Evaluate: -28 + (-5 - (-59))", "solution_steps": ["Subtract: -5 - (-59) = 54", "Add: -28 + 54 = 26"], "final_answer": "26", "answer_type": "integer", "kind": "expression", "math_text": "-28 + (-5 - (-59))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -5, \"c\": -59}", "seed": "13611270506260544901", "semantic_fingerprint": "sha256:6a440981f5987d77ed484d17e5cff984385ae4fd938ebcd04005bf4b9ecb32a1", "generator_version": "3.0"}
{"id": "v3_val_00002612", "prompt": "Calculate: -8 + (-64)", "solution_steps": ["Add: -8 + (-64) = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-64)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -64}", "seed": "10082237881724447864", "semantic_fingerprint": "sha256:4cb34ec5eee4beda55e9ed3d6bcd060a7222bc6024477fec31aeb36e81feabde", "generator_version": "3.0"}
{"id": "v3_val_00002613", "prompt": "Find x: -6x + 30 = 102", "solution_steps": ["Subtract 30 from both sides: -6x = 72", "Divide both sides by -6: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x + 30 = 102", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 30, \"d\": 102, \"x\": -12}", "seed": "3053783523803191212", "semantic_fingerprint": "sha256:f9a69e0cf3d35006e2758d3f926d98c5055fd5a88043af859d1085ef3d1ba97d", "generator_version": "3.0"}
{"id": "v3_val_00002614", "prompt": "Compute: -11 - (-95) - (-7) - (-12 - (-87))", "solution_steps": ["Subtract: -11 - (-95) = 84", "Subtract: 84 - (-7) = 91", "Subtract: -12 - (-87) = 75", "Subtract: 91 - 75 = 16"], "final_answer": "16", "answer_type": "integer", "kind": "expression", "math_text": "-11 - (-95) - (-7) - (-12 - (-87))", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -95, \"c\": -7, \"d\": -12, \"e\": -87}", "seed": "15800865295267376488", "semantic_fingerprint": "sha256:209161c63b177f742d6d4df6e2de2ce6a9e9f153ca95b0794de511d3679b802d", "generator_version": "3.0"}
{"id": "v3_val_00002615", "prompt": "Evaluate: 86 + (-27)", "solution_steps": ["Add: 86 + (-27) = 59"], "final_answer": "59", "answer_type": "integer", "kind": "expression", "math_text": "86 + (-27)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -27}", "seed": "11655368855722190320", "semantic_fingerprint": "sha256:ef45ad35914adac4bb3c6edd5617ab82f20e5ca55e13e1e3bff635c226a3de78", "generator_version": "3.0"}
{"id": "v3_val_00002616", "prompt": "Compute: -201 - (-96) + (-78)", "solution_steps": ["Subtract: -201 - (-96) = -105", "Add: -105 + (-78) = -183"], "final_answer": "-183", "answer_type": "integer", "kind": "expression", "math_text": "-201 - (-96) + (-78)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -201, \"b\": -96, \"c\": -78}", "seed": "16048240429622550101", "semantic_fingerprint": "sha256:a8742cc8f82becb74f61cb5ee97484f090b95a9ba737a8e022eeb506fd84c71a", "generator_version": "3.0"}
{"id": "v3_val_00002617", "prompt": "Evaluate: 678 + (-22)", "solution_steps": ["Add: 678 + (-22) = 656"], "final_answer": "656", "answer_type": "integer", "kind": "expression", "math_text": "678 + (-22)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 678, \"b\": -22}", "seed": "7767612852735307118", "semantic_fingerprint": "sha256:73788b2ad908c86dc79ffbfff986ed14cd281bb19887cd89b72de342dfeee7b4", "generator_version": "3.0"}
{"id": "v3_val_00002618", "prompt": "Evaluate: 9 + (753 + (-49)) - 3 / 804", "solution_steps": ["Add: 753 + (-49) = 704", "Add: 9 + 704 = 713", "Divide: 3 / 804 = 1/268", "Subtract: 713 - 1/268 = 191083/268"], "final_answer": "191083/268", "answer_type": "rational", "kind": "expression", "math_text": "9 + (753 + (-49)) - 3 / 804", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 753, \"c\": -49, \"d\": 3, \"e\": 804}", "seed": "13243623869651230574", "semantic_fingerprint": "sha256:9cb07e7d224ae5b7a3c5a0d6501ca3b7d907373b98e675f9d18ab57f50aac5e2", "generator_version": "3.0"}
{"id": "v3_val_00002619", "prompt": "Calculate: -46 * (5 * (-71) - 66)", "solution_steps": ["Multiply: 5 * (-71) = -355", "Subtract: -355 - 66 = -421", "Multiply: -46 * (-421) = 19366"], "final_answer": "19366", "answer_type": "integer", "kind": "expression", "math_text": "-46 * (5 * (-71) - 66)", "variable": null, "family": "expression_3op", "shape": "(* n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 5, \"c\": -71, \"d\": 66}", "seed": "12987297508611024018", "semantic_fingerprint": "sha256:d74ca14abb972e6c95b1c310194be2b9141e3603ce8e9405a0ab6aca6832d7e9", "generator_version": "3.0"}
{"id": "v3_val_00002620", "prompt": "What is 849 + (-626) - (-524 - (-6) + (-8 + (-1)))?", "solution_steps": ["Add: 849 + (-626) = 223", "Subtract: -524 - (-6) = -518", "Add: -8 + (-1) = -9", "Add: -518 + (-9) = -527", "Subtract: 223 - (-527) = 750"], "final_answer": "750", "answer_type": "integer", "kind": "expression", "math_text": "849 + (-626) - (-524 - (-6) + (-8 + (-1)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 849, \"b\": -626, \"c\": -524, \"d\": -6, \"e\": -8, \"f\": -1}", "seed": "10585084939444907031", "semantic_fingerprint": "sha256:9ef4513298fe5f85e0b2bcd28258fd742d8afc5ace152c6c30ed784909391677", "generator_version": "3.0"}
{"id": "v3_val_00002621", "prompt": "What value of x satisfies 4x - 5 = -9x + 47?", "solution_steps": ["Add 9x to both sides: 13x - 5 = 47", "Add 5 to both sides: 13x = 52", "Divide both sides by 13: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 5 = -9x + 47", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": -9, \"e\": 47, \"x\": 4}", "seed": "15840107294193572712", "semantic_fingerprint": "sha256:5e11fa97e1176914389ff52a808d038dcda274c6718d3677bd0039ba137fdc8c", "generator_version": "3.0"}
{"id": "v3_val_00002622", "prompt": "What value of x satisfies 5x + 521 = -2(x - 6) + 509?", "solution_steps": ["Expand: 5x + 521 = -2x + 12 + 509", "Combine constants: 5x + 521 = -2x + 521", "Add 2x to both sides: 7x + 521 = 521", "Subtract 521 from both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 521 = -2(x - 6) + 509", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 521, \"c\": -2, \"d\": 6, \"f\": 509, \"x\": 0}", "seed": "597792074312316963", "semantic_fingerprint": "sha256:19d4016d9ac08e354808ba0a40c48f3bd99b024afb02ea1c2ff184b74dc00a9d", "generator_version": "3.0"}
{"id": "v3_val_00002623", "prompt": "Calculate: (6 + (-262)) / (-786)", "solution_steps": ["Add: 6 + (-262) = -256", "Divide: -256 / (-786) = 128/393"], "final_answer": "128/393", "answer_type": "rational", "kind": "expression", "math_text": "(6 + (-262)) / (-786)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -262, \"c\": -786}", "seed": "14792131614866751403", "semantic_fingerprint": "sha256:25ab5e762f00b70b75aaaedb0ae6f8ef8cc63b71c240d72c2242646a96c210b2", "generator_version": "3.0"}
{"id": "v3_val_00002624", "prompt": "Find x: 6(x - 29) = x - 129", "solution_steps": ["Expand: 6x - 174 = x - 129", "Subtract x from both sides: 5x - 174 = -129", "Add 174 to both sides: 5x = 45", "Divide both sides by 5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 29) = x - 129", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 29, \"d\": -129, \"x\": 9}", "seed": "15435411385502391706", "semantic_fingerprint": "sha256:5428ffede25bce2f8e7048470a23f98f11f3252ba83a9c8d05ab8357c8b13423", "generator_version": "3.0"}
{"id": "v3_val_00002625", "prompt": "Solve the equation 6(x + 6) = x + 66 for x.", "solution_steps": ["Expand: 6x + 36 = x + 66", "Subtract x from both sides: 5x + 36 = 66", "Subtract 36 from both sides: 5x = 30", "Divide both sides by 5: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 6) = x + 66", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"d\": 66, \"x\": 6}", "seed": "15043162414950716089", "semantic_fingerprint": "sha256:bf6d44d28a8d7a4f2383db26a7150f6ea7a462f4a63ff66701cce144ff13f583", "generator_version": "3.0"}
{"id": "v3_val_00002626", "prompt": "Compute: 7 - (-76)", "solution_steps": ["Subtract: 7 - (-76) = 83"], "final_answer": "83", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-76)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -76}", "seed": "10709025297048951676", "semantic_fingerprint": "sha256:2f1b583c1eb2abf2722f0f131f97ccc6e2174085f6668b3213c62010a7b27406", "generator_version": "3.0"}
{"id": "v3_val_00002627", "prompt": "Evaluate: -80 / (-231)", "solution_steps": ["Divide: -80 / (-231) = 80/231"], "final_answer": "80/231", "answer_type": "rational", "kind": "expression", "math_text": "-80 / (-231)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -231}", "seed": "10843151674945946757", "semantic_fingerprint": "sha256:9003f4bb0b0fac04c9aa6133a28b049d1452f989602cda11116cc9d8cdeb19bc", "generator_version": "3.0"}
{"id": "v3_val_00002628", "prompt": "What is (-76 + 8) / 5 - 4 / (-784)?", "solution_steps": ["Add: -76 + 8 = -68", "Divide: -68 / 5 = -68/5", "Divide: 4 / (-784) = -1/196", "Subtract: -68/5 - (-1/196) = -13323/980"], "final_answer": "-13323/980", "answer_type": "rational", "kind": "expression", "math_text": "(-76 + 8) / 5 - 4 / (-784)", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 8, \"c\": 5, \"d\": 4, \"e\": -784}", "seed": "14984499863188524093", "semantic_fingerprint": "sha256:abfe0189e7946a076fd9b50d3f480ee1dd543bf0284dfa36a3acc28b804f266f", "generator_version": "3.0"}
{"id": "v3_val_00002629", "prompt": "Compute: (0 + 796) * (-242)", "solution_steps": ["Add: 0 + 796 = 796", "Multiply: 796 * (-242) = -192632"], "final_answer": "-192632", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 796) * (-242)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 796, \"c\": -242}", "seed": "632255450839549264", "semantic_fingerprint": "sha256:85e4821100c136e1b8fa34294b044c54eb3575298d962de1c2a613641bc27958", "generator_version": "3.0"}
{"id": "v3_val_00002630", "prompt": "Compute: (-44 * 18 - 4) * (-6)", "solution_steps": ["Multiply: -44 * 18 = -792", "Subtract: -792 - 4 = -796", "Multiply: -796 * (-6) = 4776"], "final_answer": "4776", "answer_type": "integer", "kind": "expression", "math_text": "(-44 * 18 - 4) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 18, \"c\": 4, \"d\": -6}", "seed": "13809083967528786290", "semantic_fingerprint": "sha256:24f3acda28da79fb94c7cb0b32c678b5cdc2a5a87e15624e1869b4dbc2280fb3", "generator_version": "3.0"}
{"id": "v3_val_00002631", "prompt": "Compute: 908 - (-1) * (8 + 19)", "solution_steps": ["Add: 8 + 19 = 27", "Multiply: -1 * 27 = -27", "Subtract: 908 - (-27) = 935"], "final_answer": "935", "answer_type": "integer", "kind": "expression", "math_text": "908 - (-1) * (8 + 19)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 908, \"b\": -1, \"c\": 8, \"d\": 19}", "seed": "2430049006630627954", "semantic_fingerprint": "sha256:d5a29f73856a963c3950304c755d1e28332cb132239e374a48fc019f739e25d8", "generator_version": "3.0"}
{"id": "v3_val_00002632", "prompt": "Evaluate: 332 * (-6) - (-339 - 0)", "solution_steps": ["Multiply: 332 * (-6) = -1992", "Subtract: -339 - 0 = -339", "Subtract: -1992 - (-339) = -1653"], "final_answer": "-1653", "answer_type": "integer", "kind": "expression", "math_text": "332 * (-6) - (-339 - 0)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 332, \"b\": -6, \"c\": -339, \"d\": 0}", "seed": "12417592255443399593", "semantic_fingerprint": "sha256:e6a516d96cea2e12587cf7017af53f4680a87919ec4b1b24f2e78c377cdca046", "generator_version": "3.0"}
{"id": "v3_val_00002633", "prompt": "What is -63 + 2 - 646 * (-9 - (-879))?", "solution_steps": ["Add: -63 + 2 = -61", "Subtract: -9 - (-879) = 870", "Multiply: 646 * 870 = 562020", "Subtract: -61 - 562020 = -562081"], "final_answer": "-562081", "answer_type": "integer", "kind": "expression", "math_text": "-63 + 2 - 646 * (-9 - (-879))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 2, \"c\": 646, \"d\": -9, \"e\": -879}", "seed": "11504578865507392995", "semantic_fingerprint": "sha256:609ca39b11ad58870574b0e040ae9a6c91742a1782fff15ed97c1044424794ff", "generator_version": "3.0"}
{"id": "v3_val_00002634", "prompt": "Calculate: 4 * (-353 * 1 * (-4))", "solution_steps": ["Multiply: -353 * 1 = -353", "Multiply: -353 * (-4) = 1412", "Multiply: 4 * 1412 = 5648"], "final_answer": "5648", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-353 * 1 * (-4))", "variable": null, "family": "expression_3op", "shape": "(* n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -353, \"c\": 1, \"d\": -4}", "seed": "17776693468478611738", "semantic_fingerprint": "sha256:2bd1079d849524ef80ba1a73446488dd55b5fd2beeb95a09607282239b189584", "generator_version": "3.0"}
{"id": "v3_val_00002635", "prompt": "Compute: -6 - (-858)", "solution_steps": ["Subtract: -6 - (-858) = 852"], "final_answer": "852", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-858)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -858}", "seed": "9587315011481511778", "semantic_fingerprint": "sha256:73078369039f3e46de4e0892c5337d26ac506c0301b91056b12bb67e6dd8cfee", "generator_version": "3.0"}
{"id": "v3_val_00002636", "prompt": "Evaluate: 45 * 70 - (70 + (-833) * 6)", "solution_steps": ["Multiply: 45 * 70 = 3150", "Multiply: -833 * 6 = -4998", "Add: 70 + (-4998) = -4928", "Subtract: 3150 - (-4928) = 8078"], "final_answer": "8078", "answer_type": "integer", "kind": "expression", "math_text": "45 * 70 - (70 + (-833) * 6)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 70, \"c\": 70, \"d\": -833, \"e\": 6}", "seed": "6778377143706406629", "semantic_fingerprint": "sha256:60faba8a345c87e8e0a062e4926275528ea6e1cad305bf1f2a6c946328ac4da6", "generator_version": "3.0"}
{"id": "v3_val_00002637", "prompt": "What value of x satisfies 4(x + 80) = x - 16?", "solution_steps": ["Expand: 4x + 320 = x - 16", "Subtract x from both sides: 3x + 320 = -16", "Subtract 320 from both sides: 3x = -336", "Divide both sides by 3: x = -112"], "final_answer": "-112", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 80) = x - 16", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 80, \"c\": 16}", "seed": "6857941235866877180", "semantic_fingerprint": "sha256:babad14cb386c98f440027b1bc723791a09ec615c40cc5673039e4be9077bd9a", "generator_version": "3.0"}
{"id": "v3_val_00002638", "prompt": "Compute: 430 + (-28)", "solution_steps": ["Add: 430 + (-28) = 402"], "final_answer": "402", "answer_type": "integer", "kind": "expression", "math_text": "430 + (-28)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 430, \"b\": -28}", "seed": "3652816112225399441", "semantic_fingerprint": "sha256:0efa78897c540f338c2ea2ea49557d4c2e50bfc4b088a4e50311bd9fa1b1b524", "generator_version": "3.0"}
{"id": "v3_val_00002639", "prompt": "Solve for x: x - 190 = 11x", "solution_steps": ["Subtract 11x from both sides: -10x - 190 = 0", "Add 190 to both sides: -10x = 190", "Divide both sides by -10: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 190 = 11x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": -190, \"x\": -19}", "seed": "14630546575822081206", "semantic_fingerprint": "sha256:10fe251644cac19a6c390e0ee92ec64e8b9de4d33f7e99f8aef36985a675dc2e", "generator_version": "3.0"}
{"id": "v3_val_00002640", "prompt": "Solve the equation 8(x + 523) = x for x.", "solution_steps": ["Expand: 8x + 4184 = x", "Subtract x from both sides: 7x + 4184 = 0", "Subtract 4184 from both sides: 7x = -4184", "Divide both sides by 7: x = -4184/7"], "final_answer": "-4184/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 523) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 523}", "seed": "9199022699433737864", "semantic_fingerprint": "sha256:fb4d549850905ac29bb0f7cdd1b4e0cd9e35606d87060d5af00d6895b9621bf4", "generator_version": "3.0"}
{"id": "v3_val_00002641", "prompt": "Solve the equation 4(x - 103) = -384 for x.", "solution_steps": ["Expand: 4x - 412 = -384", "Add 412 to both sides: 4x = 28", "Divide both sides by 4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 103) = -384", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 103, \"d\": -384, \"x\": 7}", "seed": "10293085232934723558", "semantic_fingerprint": "sha256:ab634ffda5555f0ae1dd365db8bafa06e61409eafee5fee61a1f0dc6d20be853", "generator_version": "3.0"}
{"id": "v3_val_00002642", "prompt": "Calculate: -930 * ((46 - 9) / (-31 * 97))", "solution_steps": ["Subtract: 46 - 9 = 37", "Multiply: -31 * 97 = -3007", "Divide: 37 / (-3007) = -37/3007", "Multiply: -930 * (-37/3007) = 1110/97"], "final_answer": "1110/97", "answer_type": "rational", "kind": "expression", "math_text": "-930 * ((46 - 9) / (-31 * 97))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -930, \"b\": 46, \"c\": 9, \"d\": -31, \"e\": 97}", "seed": "2471495298662686995", "semantic_fingerprint": "sha256:b613dde198a2a415f4f10addafa8569fcb05e0dfc4e09e2c89ae9dc525eb719a", "generator_version": "3.0"}
{"id": "v3_val_00002643", "prompt": "What is (-27 + (-654) * (-7)) * (-75)?", "solution_steps": ["Multiply: -654 * (-7) = 4578", "Add: -27 + 4578 = 4551", "Multiply: 4551 * (-75) = -341325"], "final_answer": "-341325", "answer_type": "integer", "kind": "expression", "math_text": "(-27 + (-654) * (-7)) * (-75)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -654, \"c\": -7, \"d\": -75}", "seed": "17947933072288876328", "semantic_fingerprint": "sha256:3b724ee54edfd5848c29de611745b2a3362f1fcdae289e36622c4e3295294f83", "generator_version": "3.0"}
{"id": "v3_val_00002644", "prompt": "Calculate: -6 + ((5 - 2) / 51 / (-578) - 0)", "solution_steps": ["Subtract: 5 - 2 = 3", "Divide: 3 / 51 = 1/17", "Divide: (1/17) / (-578) = -1/9826", "Subtract: -1/9826 - 0 = -1/9826", "Add: -6 + (-1/9826) = -58957/9826"], "final_answer": "-58957/9826", "answer_type": "rational", "kind": "expression", "math_text": "-6 + ((5 - 2) / 51 / (-578) - 0)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (/ (/ (- n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 5, \"c\": 2, \"d\": 51, \"e\": -578, \"f\": 0}", "seed": "14913625768085384669", "semantic_fingerprint": "sha256:a73751dbd6cb1fa84b7cb03e801ed4cbae9189dc956d627f516c170c55e598a6", "generator_version": "3.0"}
{"id": "v3_val_00002645", "prompt": "What is 96 / (-258)?", "solution_steps": ["Divide: 96 / (-258) = -16/43"], "final_answer": "-16/43", "answer_type": "rational", "kind": "expression", "math_text": "96 / (-258)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -258}", "seed": "3192717471659257881", "semantic_fingerprint": "sha256:a748460f879c8a09f4125646884871f47a337d144655761078c3f0ef4dbe2c0b", "generator_version": "3.0"}
{"id": "v3_val_00002646", "prompt": "Evaluate: 11 / 322", "solution_steps": ["Divide: 11 / 322 = 11/322"], "final_answer": "11/322", "answer_type": "rational", "kind": "expression", "math_text": "11 / 322", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 322}", "seed": "12297989733511498694", "semantic_fingerprint": "sha256:1d1ce0645b2a587fd502b364ffedab7f38838b7843cec6b0fef86181bbc68543", "generator_version": "3.0"}
{"id": "v3_val_00002647", "prompt": "What is -246 * (-5 * (-2))?", "solution_steps": ["Multiply: -5 * (-2) = 10", "Multiply: -246 * 10 = -2460"], "final_answer": "-2460", "answer_type": "integer", "kind": "expression", "math_text": "-246 * (-5 * (-2))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -246, \"b\": -5, \"c\": -2}", "seed": "1816543956120368078", "semantic_fingerprint": "sha256:2bf3fa35b5b39acff960e205b9d5229a9d3903a0b0b4d3b7be68a5b8658dbc6b", "generator_version": "3.0"}
{"id": "v3_val_00002648", "prompt": "Evaluate: -97 * ((-7 - 0) * (1 / 8))", "solution_steps": ["Subtract: -7 - 0 = -7", "Divide: 1 / 8 = 1/8", "Multiply: -7 * (1/8) = -7/8", "Multiply: -97 * (-7/8) = 679/8"], "final_answer": "679/8", "answer_type": "rational", "kind": "expression", "math_text": "-97 * ((-7 - 0) * (1 / 8))", "variable": null, "family": "expression_4op", "shape": "(* n (* (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -7, \"c\": 0, \"d\": 1, \"e\": 8}", "seed": "11658098015609951189", "semantic_fingerprint": "sha256:e41dbd9df625823560cea1ae0f82c760bca99dd963af5986ce75efb02313ded1", "generator_version": "3.0"}
{"id": "v3_val_00002649", "prompt": "Solve for x: 12(x - 237) + 23 = -8(x - 68) - 5", "solution_steps": ["Expand: 12x - 2844 + 23 = -8(x - 68) - 5", "Expand: 12x - 2844 + 23 = -8x + 544 - 5", "Combine constants: 12x - 2821 = -8x + 544 - 5", "Combine constants: 12x - 2821 = -8x + 539", "Add 8x to both sides: 20x - 2821 = 539", "Add 2821 to both sides: 20x = 3360", "Divide both sides by 20: x = 168"], "final_answer": "168", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 237) + 23 = -8(x - 68) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 237, \"c\": 23, \"d\": -8, \"e\": 68, \"f\": 5}", "seed": "6396147255215100428", "semantic_fingerprint": "sha256:256e19151ab84b0ad69a63c1f4e6bcca6e9b7a75366c37248abf033fe485af43", "generator_version": "3.0"}
{"id": "v3_val_00002650", "prompt": "What is -6 / 106?", "solution_steps": ["Divide: -6 / 106 = -3/53"], "final_answer": "-3/53", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 106", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 106}", "seed": "7989325064712672402", "semantic_fingerprint": "sha256:f19e26775aa04af278baea3b6fa694dc4caeccffb9b84ea3e60bb6e9cf725b1b", "generator_version": "3.0"}
{"id": "v3_val_00002651", "prompt": "What is (6 / (-8) + (-539)) / (-3)?", "solution_steps": ["Divide: 6 / (-8) = -3/4", "Add: -3/4 + (-539) = -2159/4", "Divide: (-2159/4) / (-3) = 2159/12"], "final_answer": "2159/12", "answer_type": "rational", "kind": "expression", "math_text": "(6 / (-8) + (-539)) / (-3)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -8, \"c\": -539, \"d\": -3}", "seed": "5957248889627100783", "semantic_fingerprint": "sha256:0caafdf947f06c0eded3725e9808e1680f6a2503701f310491da42df5cdeb82e", "generator_version": "3.0"}
{"id": "v3_val_00002652", "prompt": "Calculate: -4 * (-3 * (-636))", "solution_steps": ["Multiply: -3 * (-636) = 1908", "Multiply: -4 * 1908 = -7632"], "final_answer": "-7632", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-3 * (-636))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -3, \"c\": -636}", "seed": "13937461535396671872", "semantic_fingerprint": "sha256:8a7a774abec25f5cea14a60f8f22fd394a9b85eda1c1c6c22252a37246d0dd8d", "generator_version": "3.0"}
{"id": "v3_val_00002653", "prompt": "What is 71 + 728?", "solution_steps": ["Add: 71 + 728 = 799"], "final_answer": "799", "answer_type": "integer", "kind": "expression", "math_text": "71 + 728", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 728}", "seed": "17137298197954882494", "semantic_fingerprint": "sha256:930e51e2fec1e0d53687b3883e0c863afd50bf9726da9632cae9cb5f8bd5400f", "generator_version": "3.0"}
{"id": "v3_val_00002654", "prompt": "Find x: 2(x - 78) = -9(x - 50) - 716", "solution_steps": ["Expand: 2x - 156 = -9(x - 50) - 716", "Expand: 2x - 156 = -9x + 450 - 716", "Combine constants: 2x - 156 = -9x - 266", "Add 9x to both sides: 11x - 156 = -266", "Add 156 to both sides: 11x = -110", "Divide both sides by 11: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 78) = -9(x - 50) - 716", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 78, \"c\": -9, \"d\": 50, \"f\": -716, \"x\": -10}", "seed": "2925878075300536672", "semantic_fingerprint": "sha256:4a6181b62fd1f816d42d1b1c3b3df9aa79792df85f30ea9a4d1ebf7a9975b195", "generator_version": "3.0"}
{"id": "v3_val_00002655", "prompt": "Compute: 32 + (-733) + 97 * (-62 * 6)", "solution_steps": ["Add: 32 + (-733) = -701", "Multiply: -62 * 6 = -372", "Multiply: 97 * (-372) = -36084", "Add: -701 + (-36084) = -36785"], "final_answer": "-36785", "answer_type": "integer", "kind": "expression", "math_text": "32 + (-733) + 97 * (-62 * 6)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -733, \"c\": 97, \"d\": -62, \"e\": 6}", "seed": "8036927413170275473", "semantic_fingerprint": "sha256:51af28b08e98b086dcf6c0aeeec7d8732f53851c528b42a210f5b8d36e453979", "generator_version": "3.0"}
{"id": "v3_val_00002656", "prompt": "What value of x satisfies x - 100 = 11x?", "solution_steps": ["Subtract 11x from both sides: -10x - 100 = 0", "Add 100 to both sides: -10x = 100", "Divide both sides by -10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 100 = 11x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": -100, \"x\": -10}", "seed": "10773465153107830033", "semantic_fingerprint": "sha256:c108e8ebb090afd1f8d237b1cbed55b535166cd825a46061c0b30c9c43215b3a", "generator_version": "3.0"}
{"id": "v3_val_00002657", "prompt": "Calculate: 15 * (-81)", "solution_steps": ["Multiply: 15 * (-81) = -1215"], "final_answer": "-1215", "answer_type": "integer", "kind": "expression", "math_text": "15 * (-81)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -81}", "seed": "4641829168306337158", "semantic_fingerprint": "sha256:a80ab00fdb2899e839fd43af52443f60f5199afee9a0db40473bb4ad779bba96", "generator_version": "3.0"}
{"id": "v3_val_00002658", "prompt": "What value of x satisfies x + 33 = 7(x + 9)?", "solution_steps": ["Expand: x + 33 = 7x + 63", "Subtract 7x from both sides: -6x + 33 = 63", "Subtract 33 from both sides: -6x = 30", "Divide both sides by -6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33 = 7(x + 9)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"d\": 33, \"x\": -5}", "seed": "7771832861402960483", "semantic_fingerprint": "sha256:660dc3743df8e922afb4e35882a937fffa9096bb5cb71a662a013b412cfd8465", "generator_version": "3.0"}
{"id": "v3_val_00002659", "prompt": "Solve the equation 9(x + 5) - 53 = 12x - 38 for x.", "solution_steps": ["Expand: 9x + 45 - 53 = 12x - 38", "Combine constants: 9x - 8 = 12x - 38", "Subtract 12x from both sides: -3x - 8 = -38", "Add 8 to both sides: -3x = -30", "Divide both sides by -3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) - 53 = 12x - 38", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 53, \"d\": 12, \"f\": -38, \"x\": 10}", "seed": "16017039200249474119", "semantic_fingerprint": "sha256:0f10bb15f87aae73b80679553a6f58fbaed2a4f6003676dc054d9fb19e99e174", "generator_version": "3.0"}
{"id": "v3_val_00002660", "prompt": "Compute: 9 + 1 * 2", "solution_steps": ["Multiply: 1 * 2 = 2", "Add: 9 + 2 = 11"], "final_answer": "11", "answer_type": "integer", "kind": "expression", "math_text": "9 + 1 * 2", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 2}", "seed": "15822786739416594913", "semantic_fingerprint": "sha256:7880d02493fb5833173fef5990d25e690d2bfdb9cec304ad41728c0af911cf2d", "generator_version": "3.0"}
{"id": "v3_val_00002661", "prompt": "Solve the equation x + 550 = 10(x + 46) for x.", "solution_steps": ["Expand: x + 550 = 10x + 460", "Subtract 10x from both sides: -9x + 550 = 460", "Subtract 550 from both sides: -9x = -90", "Divide both sides by -9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 550 = 10(x + 46)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 46, \"d\": 550, \"x\": 10}", "seed": "7451336587256492302", "semantic_fingerprint": "sha256:e8c44434a82fbc7dbcb068a50810aea0312123b0c91bde99fc86fce04bf39f6f", "generator_version": "3.0"}
{"id": "v3_val_00002662", "prompt": "What value of x satisfies -9(x + 6) + 69 = x - 49?", "solution_steps": ["Expand: -9x - 54 + 69 = x - 49", "Combine constants: -9x + 15 = x - 49", "Subtract x from both sides: -10x + 15 = -49", "Subtract 15 from both sides: -10x = -64", "Divide both sides by -10: x = 32/5"], "final_answer": "32/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 6) + 69 = x - 49", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 69, \"d\": 49}", "seed": "17952990156914275582", "semantic_fingerprint": "sha256:f502992a98a77baf4f02252c7a02bce1052728549dcc1f4406c23139d47b7c38", "generator_version": "3.0"}
{"id": "v3_val_00002663", "prompt": "Evaluate: -237 / (-5 - (-6))", "solution_steps": ["Subtract: -5 - (-6) = 1", "Divide: -237 / 1 = -237"], "final_answer": "-237", "answer_type": "integer", "kind": "expression", "math_text": "-237 / (-5 - (-6))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -237, \"b\": -5, \"c\": -6}", "seed": "14791507881704159460", "semantic_fingerprint": "sha256:d078c69b8fae57cd5156cc581f1a8fbd5f21c6ee0b1f5b441b25fb9a7621483b", "generator_version": "3.0"}
{"id": "v3_val_00002664", "prompt": "Calculate: 9 * 0 * (-60 / (96 + (-92)))", "solution_steps": ["Multiply: 9 * 0 = 0", "Add: 96 + (-92) = 4", "Divide: -60 / 4 = -15", "Multiply: 0 * (-15) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "9 * 0 * (-60 / (96 + (-92)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 0, \"c\": -60, \"d\": 96, \"e\": -92}", "seed": "11741073383324326501", "semantic_fingerprint": "sha256:373e586295d74b5a6ba36dc5aa298a4495d9c265da94db085423c0a065135430", "generator_version": "3.0"}
{"id": "v3_val_00002665", "prompt": "Calculate: (3 + (-1)) * (-432)", "solution_steps": ["Add: 3 + (-1) = 2", "Multiply: 2 * (-432) = -864"], "final_answer": "-864", "answer_type": "integer", "kind": "expression", "math_text": "(3 + (-1)) * (-432)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -1, \"c\": -432}", "seed": "10942713549161679188", "semantic_fingerprint": "sha256:d42e78f074ee17b81b8444c368d3d78861f829fa2483b3a7ab4cb7334a4c8a1e", "generator_version": "3.0"}
{"id": "v3_val_00002666", "prompt": "Compute: 58 * 751", "solution_steps": ["Multiply: 58 * 751 = 43558"], "final_answer": "43558", "answer_type": "integer", "kind": "expression", "math_text": "58 * 751", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 751}", "seed": "17945913168649407631", "semantic_fingerprint": "sha256:69225f0f99835b29113d49978eaef9d3f7488e16f5afd8c16e56e936adb6d591", "generator_version": "3.0"}
{"id": "v3_val_00002667", "prompt": "Compute: 278 + (-61 + (-471))", "solution_steps": ["Add: -61 + (-471) = -532", "Add: 278 + (-532) = -254"], "final_answer": "-254", "answer_type": "integer", "kind": "expression", "math_text": "278 + (-61 + (-471))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 278, \"b\": -61, \"c\": -471}", "seed": "2885224796231383410", "semantic_fingerprint": "sha256:6b33d30a96290c1d4d167949ade8d95fd22aa1812e0635f4ca9504744d1f0c99", "generator_version": "3.0"}
{"id": "v3_val_00002668", "prompt": "Find x: 11(x - 73) = -6(x + 81) - 283", "solution_steps": ["Expand: 11x - 803 = -6(x + 81) - 283", "Expand: 11x - 803 = -6x - 486 - 283", "Combine constants: 11x - 803 = -6x - 769", "Add 6x to both sides: 17x - 803 = -769", "Add 803 to both sides: 17x = 34", "Divide both sides by 17: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 73) = -6(x + 81) - 283", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 73, \"c\": -6, \"d\": 81, \"f\": -283, \"x\": 2}", "seed": "814958528064874016", "semantic_fingerprint": "sha256:7cd89af4e40e2b5359d8e2b5e9481f0b44885981f7c57b0a3a6dd3763e273fb6", "generator_version": "3.0"}
{"id": "v3_val_00002669", "prompt": "What value of x satisfies x + 3 = 5x + 51?", "solution_steps": ["Subtract 5x from both sides: -4x + 3 = 51", "Subtract 3 from both sides: -4x = 48", "Divide both sides by -4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = 5x + 51", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"d\": 51, \"x\": -12}", "seed": "10113696462093490532", "semantic_fingerprint": "sha256:96cfdd507f1b94ad0b68316f67f90df5071dfc72b185deff883f9b28f357940e", "generator_version": "3.0"}
{"id": "v3_val_00002670", "prompt": "Evaluate: -2 / (-776 + 64 * 0)", "solution_steps": ["Multiply: 64 * 0 = 0", "Add: -776 + 0 = -776", "Divide: -2 / (-776) = 1/388"], "final_answer": "1/388", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-776 + 64 * 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -776, \"c\": 64, \"d\": 0}", "seed": "861943845082996229", "semantic_fingerprint": "sha256:39e3d06f511e00364564e898071c653913544a03a2fd526a7ec3a1cd5132ad94", "generator_version": "3.0"}
{"id": "v3_val_00002671", "prompt": "Solve for x: 3(x + 6) = 4(x + 12)", "solution_steps": ["Expand: 3x + 18 = 4(x + 12)", "Expand: 3x + 18 = 4x + 48", "Subtract 4x from both sides: -x + 18 = 48", "Subtract 18 from both sides: -x = 30", "Divide both sides by -1: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 6) = 4(x + 12)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 4, \"d\": 12}", "seed": "10644357113890644911", "semantic_fingerprint": "sha256:2c44b15f6a0c29e11eff61e65e119bf82c9b6c82082ebbdf434bcbf5c6a3ad7d", "generator_version": "3.0"}
{"id": "v3_val_00002672", "prompt": "Find x: 10(x - 24) + 177 = x - 162", "solution_steps": ["Expand: 10x - 240 + 177 = x - 162", "Combine constants: 10x - 63 = x - 162", "Subtract x from both sides: 9x - 63 = -162", "Add 63 to both sides: 9x = -99", "Divide both sides by 9: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 24) + 177 = x - 162", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 24, \"c\": 177, \"e\": -162, \"x\": -11}", "seed": "2042323970879396176", "semantic_fingerprint": "sha256:54b5c1de60f30afe15590158e1630ba228e1684f1dcfcbacfdc42c7f5773103c", "generator_version": "3.0"}
{"id": "v3_val_00002673", "prompt": "Solve for x: 10(x - 7) = x", "solution_steps": ["Expand: 10x - 70 = x", "Subtract x from both sides: 9x - 70 = 0", "Add 70 to both sides: 9x = 70", "Divide both sides by 9: x = 70/9"], "final_answer": "70/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 7) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7}", "seed": "56753309141437940", "semantic_fingerprint": "sha256:5cbe3b748c5a11421f4cf82662a257d8da356c63293b30b7c1364f17651e1126", "generator_version": "3.0"}
{"id": "v3_val_00002674", "prompt": "Compute: -846 / (-457) + (-24 + (-1))", "solution_steps": ["Divide: -846 / (-457) = 846/457", "Add: -24 + (-1) = -25", "Add: 846/457 + (-25) = -10579/457"], "final_answer": "-10579/457", "answer_type": "rational", "kind": "expression", "math_text": "-846 / (-457) + (-24 + (-1))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -846, \"b\": -457, \"c\": -24, \"d\": -1}", "seed": "17539747415095549853", "semantic_fingerprint": "sha256:065075e15c659ed64ac2711877d34bee1ca7583bd1c149d53572ac33eca9a6d3", "generator_version": "3.0"}
{"id": "v3_val_00002675", "prompt": "What is -6 + 93 + (-5) * (-8) * (43 + 7)?", "solution_steps": ["Add: -6 + 93 = 87", "Multiply: -5 * (-8) = 40", "Add: 43 + 7 = 50", "Multiply: 40 * 50 = 2000", "Add: 87 + 2000 = 2087"], "final_answer": "2087", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 93 + (-5) * (-8) * (43 + 7)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 93, \"c\": -5, \"d\": -8, \"e\": 43, \"f\": 7}", "seed": "1264855461054814126", "semantic_fingerprint": "sha256:add47a3989ff2051c1729aec279f5b6a425fb48fb62688098ae521b13a8f3f39", "generator_version": "3.0"}
{"id": "v3_val_00002676", "prompt": "Solve the equation -11(x - 9) - 48 = x - 23 for x.", "solution_steps": ["Expand: -11x + 99 - 48 = x - 23", "Combine constants: -11x + 51 = x - 23", "Subtract x from both sides: -12x + 51 = -23", "Subtract 51 from both sides: -12x = -74", "Divide both sides by -12: x = 37/6"], "final_answer": "37/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 9) - 48 = x - 23", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 9, \"c\": 48, \"d\": 23}", "seed": "14591696560471754434", "semantic_fingerprint": "sha256:0c1277250cd28f35be292978d6d0b43634b068bd26defad91ea6db979bc7dfed", "generator_version": "3.0"}
{"id": "v3_val_00002677", "prompt": "Find x: 12x - 4 = -2", "solution_steps": ["Add 4 to both sides: 12x = 2", "Divide both sides by 12: x = 1/6"], "final_answer": "1/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 4 = -2", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": -2}", "seed": "4880205986646951205", "semantic_fingerprint": "sha256:f32936206900bf893f2f99d400f4609883bc5c9f3ee6535a1729aa570ef15c76", "generator_version": "3.0"}
{"id": "v3_val_00002678", "prompt": "Solve the equation -11(x - 12) = 11(x - 571) + 779 for x.", "solution_steps": ["Expand: -11x + 132 = 11(x - 571) + 779", "Expand: -11x + 132 = 11x - 6281 + 779", "Combine constants: -11x + 132 = 11x - 5502", "Subtract 11x from both sides: -22x + 132 = -5502", "Subtract 132 from both sides: -22x = -5634", "Divide both sides by -22: x = 2817/11"], "final_answer": "2817/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 12) = 11(x - 571) + 779", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 12, \"c\": 11, \"d\": 571, \"e\": 779}", "seed": "5929431274947003788", "semantic_fingerprint": "sha256:a049d273c57f96564f45bdce4ec08b5831458e5f2a0f2bae61c7acb9806fe436", "generator_version": "3.0"}
{"id": "v3_val_00002679", "prompt": "Evaluate: (7 + (-420)) / 7 * (-8) - 8", "solution_steps": ["Add: 7 + (-420) = -413", "Divide: -413 / 7 = -59", "Multiply: -59 * (-8) = 472", "Subtract: 472 - 8 = 464"], "final_answer": "464", "answer_type": "integer", "kind": "expression", "math_text": "(7 + (-420)) / 7 * (-8) - 8", "variable": null, "family": "expression_4op", "shape": "(- (* (/ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -420, \"c\": 7, \"d\": -8, \"e\": 8}", "seed": "2349276282541891015", "semantic_fingerprint": "sha256:6e90bc543c63ad19ea267d6f283b41080e9c43f82e2a5ff0b9e19b8b34056b8f", "generator_version": "3.0"}
{"id": "v3_val_00002680", "prompt": "Calculate: 772 * 77", "solution_steps": ["Multiply: 772 * 77 = 59444"], "final_answer": "59444", "answer_type": "integer", "kind": "expression", "math_text": "772 * 77", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 772, \"b\": 77}", "seed": "5338054680266821909", "semantic_fingerprint": "sha256:255a03cb8624fb82c021652ccfaea4e062181caed12b844b2550caa9bffb58ee", "generator_version": "3.0"}
{"id": "v3_val_00002681", "prompt": "Solve the equation 8(x - 52) + 353 = x for x.", "solution_steps": ["Expand: 8x - 416 + 353 = x", "Combine constants: 8x - 63 = x", "Subtract x 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": "8(x - 52) + 353 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 52, \"d\": 353, \"x\": 9}", "seed": "1855112742584386003", "semantic_fingerprint": "sha256:1d4467de575b9c27e1d4fc5e96d30e556eb250b865fd4c32804d2c10c8f27fea", "generator_version": "3.0"}
{"id": "v3_val_00002682", "prompt": "Evaluate: 6 / (-51 + (-7) + 15)", "solution_steps": ["Add: -51 + (-7) = -58", "Add: -58 + 15 = -43", "Divide: 6 / (-43) = -6/43"], "final_answer": "-6/43", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-51 + (-7) + 15)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -51, \"c\": -7, \"d\": 15}", "seed": "5463273682499844193", "semantic_fingerprint": "sha256:4788e9151ef6611c96cb25a008726fd6316d3be7cd3e461ec50d6431f843efa9", "generator_version": "3.0"}
{"id": "v3_val_00002683", "prompt": "Calculate: 81 - 0 * 1", "solution_steps": ["Multiply: 0 * 1 = 0", "Subtract: 81 - 0 = 81"], "final_answer": "81", "answer_type": "integer", "kind": "expression", "math_text": "81 - 0 * 1", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 0, \"c\": 1}", "seed": "11523127598844895382", "semantic_fingerprint": "sha256:18fe2cef4b884f4be591752702195efc8e9a3d352fecdb64c40ee4091f20b299", "generator_version": "3.0"}
{"id": "v3_val_00002684", "prompt": "Compute: -845 - 0 * 27", "solution_steps": ["Multiply: 0 * 27 = 0", "Subtract: -845 - 0 = -845"], "final_answer": "-845", "answer_type": "integer", "kind": "expression", "math_text": "-845 - 0 * 27", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -845, \"b\": 0, \"c\": 27}", "seed": "10329655479327066772", "semantic_fingerprint": "sha256:f84ab1b168a669ddaa8621c436ad140c35f975482a98a6257185340512770fde", "generator_version": "3.0"}
{"id": "v3_val_00002685", "prompt": "Solve the equation x - 366 = -6(x + 54) for x.", "solution_steps": ["Expand: x - 366 = -6x - 324", "Add 6x to both sides: 7x - 366 = -324", "Add 366 to both sides: 7x = 42", "Divide both sides by 7: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 366 = -6(x + 54)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 54, \"d\": -366, \"x\": 6}", "seed": "13482204359892949549", "semantic_fingerprint": "sha256:6c2af4155ec5585861576cfe211344f7a94a9c4431cb9d4dd86e240fbefe43c9", "generator_version": "3.0"}
{"id": "v3_val_00002686", "prompt": "Calculate: 65 - (-472)", "solution_steps": ["Subtract: 65 - (-472) = 537"], "final_answer": "537", "answer_type": "integer", "kind": "expression", "math_text": "65 - (-472)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -472}", "seed": "5841765018010735774", "semantic_fingerprint": "sha256:ef8334fed8f9b1ed5175001331479200b10506fff3846169e24ea8f40cd43a4a", "generator_version": "3.0"}
{"id": "v3_val_00002687", "prompt": "Evaluate: 238 - (-45)", "solution_steps": ["Subtract: 238 - (-45) = 283"], "final_answer": "283", "answer_type": "integer", "kind": "expression", "math_text": "238 - (-45)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 238, \"b\": -45}", "seed": "11176298734846655256", "semantic_fingerprint": "sha256:03328d5ab4542fb6e5bb6968ffd50e7057ed5f6ddb7c5d3a4a51a6bc560fbc5a", "generator_version": "3.0"}
{"id": "v3_val_00002688", "prompt": "Compute: (-126 + (-68)) / 79", "solution_steps": ["Add: -126 + (-68) = -194", "Divide: -194 / 79 = -194/79"], "final_answer": "-194/79", "answer_type": "rational", "kind": "expression", "math_text": "(-126 + (-68)) / 79", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -126, \"b\": -68, \"c\": 79}", "seed": "11009163745025961576", "semantic_fingerprint": "sha256:0ed02fc1bd2f4164479929cc9b9921f53ab17a334dfa1cd36cff174f46bc68ce", "generator_version": "3.0"}
{"id": "v3_val_00002689", "prompt": "Calculate: -43 - (-20) * (338 - 6 + (-569))", "solution_steps": ["Subtract: 338 - 6 = 332", "Add: 332 + (-569) = -237", "Multiply: -20 * (-237) = 4740", "Subtract: -43 - 4740 = -4783"], "final_answer": "-4783", "answer_type": "integer", "kind": "expression", "math_text": "-43 - (-20) * (338 - 6 + (-569))", "variable": null, "family": "expression_4op", "shape": "(- n (* n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -20, \"c\": 338, \"d\": 6, \"e\": -569}", "seed": "2364894475948332845", "semantic_fingerprint": "sha256:d2c20ec113f8ab3c914fabe09ab108be3d8cacc13c89943ed90729aa3c0038c1", "generator_version": "3.0"}
{"id": "v3_val_00002690", "prompt": "Calculate: -81 * ((-983 + 6) / (-8))", "solution_steps": ["Add: -983 + 6 = -977", "Divide: -977 / (-8) = 977/8", "Multiply: -81 * (977/8) = -79137/8"], "final_answer": "-79137/8", "answer_type": "rational", "kind": "expression", "math_text": "-81 * ((-983 + 6) / (-8))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -983, \"c\": 6, \"d\": -8}", "seed": "2348491221310092785", "semantic_fingerprint": "sha256:9ed2af67fd97a51473d0ce21a90d8bf50dd06dacb4e7695140641519950eccab", "generator_version": "3.0"}
{"id": "v3_val_00002691", "prompt": "Evaluate: (1 + (-762 + (-3) / (-31)) + (-581)) / 38", "solution_steps": ["Divide: -3 / (-31) = 3/31", "Add: -762 + 3/31 = -23619/31", "Add: 1 + (-23619/31) = -23588/31", "Add: -23588/31 + (-581) = -41599/31", "Divide: (-41599/31) / 38 = -41599/1178"], "final_answer": "-41599/1178", "answer_type": "rational", "kind": "expression", "math_text": "(1 + (-762 + (-3) / (-31)) + (-581)) / 38", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n (+ n (/ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -762, \"c\": -3, \"d\": -31, \"e\": -581, \"f\": 38}", "seed": "245866759957278037", "semantic_fingerprint": "sha256:cf005c76cc8eeb2f82b8a22bb7a54dacd388337241f25b56bcfabd6ae1aaff32", "generator_version": "3.0"}
{"id": "v3_val_00002692", "prompt": "Solve the equation 6(x - 57) + 82 = x - 6 for x.", "solution_steps": ["Expand: 6x - 342 + 82 = x - 6", "Combine constants: 6x - 260 = x - 6", "Subtract x from both sides: 5x - 260 = -6", "Add 260 to both sides: 5x = 254", "Divide both sides by 5: x = 254/5"], "final_answer": "254/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 57) + 82 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 57, \"c\": 82, \"d\": 6}", "seed": "4391931573804567066", "semantic_fingerprint": "sha256:0d252a8b277d6fcb1f60da8e39e7356353eb0ad9149a22acaf81ea8d057d2bca", "generator_version": "3.0"}
{"id": "v3_val_00002693", "prompt": "Find x: 9(x + 94) = 8(x + 23) + 671", "solution_steps": ["Expand: 9x + 846 = 8(x + 23) + 671", "Expand: 9x + 846 = 8x + 184 + 671", "Combine constants: 9x + 846 = 8x + 855", "Subtract 8x from both sides: x + 846 = 855", "Subtract 846 from both sides: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 94) = 8(x + 23) + 671", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 94, \"c\": 8, \"d\": 23, \"f\": 671, \"x\": 9}", "seed": "9837883940130042621", "semantic_fingerprint": "sha256:f42458d0832255e2ca38a1aff3470d1d637f0e431d05c0e05d458cc314cd6337", "generator_version": "3.0"}
{"id": "v3_val_00002694", "prompt": "Solve for x: 9x = -8x", "solution_steps": ["Add 8x to both sides: 17x = 0", "Divide both sides by 17: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = -8x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8}", "seed": "4794818038126062219", "semantic_fingerprint": "sha256:35ed20f9f9daeee267063c3a7b1b88ee76a4b2c7114d4a654fd70fe7798866c1", "generator_version": "3.0"}
{"id": "v3_val_00002695", "prompt": "Evaluate: -43 * 43", "solution_steps": ["Multiply: -43 * 43 = -1849"], "final_answer": "-1849", "answer_type": "integer", "kind": "expression", "math_text": "-43 * 43", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 43}", "seed": "9986004167367811011", "semantic_fingerprint": "sha256:0c644d0c3d6b4a736c997b9d99bcd296a8066fe95164eab1cbc261330b77b323", "generator_version": "3.0"}
{"id": "v3_val_00002696", "prompt": "Solve for x: 2(x - 9) = x - 11", "solution_steps": ["Expand: 2x - 18 = x - 11", "Subtract x from both sides: x - 18 = -11", "Add 18 to both sides: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 9) = x - 11", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"d\": -11, \"x\": 7}", "seed": "4549114911922504069", "semantic_fingerprint": "sha256:1f721ed78a32f4dae3d27e6f980075a817bd0d24a0219a7ce1a03ff8de40f9cd", "generator_version": "3.0"}
{"id": "v3_val_00002697", "prompt": "What is -2 - 589 / (-24)?", "solution_steps": ["Divide: 589 / (-24) = -589/24", "Subtract: -2 - (-589/24) = 541/24"], "final_answer": "541/24", "answer_type": "rational", "kind": "expression", "math_text": "-2 - 589 / (-24)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 589, \"c\": -24}", "seed": "2384301553557417", "semantic_fingerprint": "sha256:39f64b73e72202fbb41b23fd8b70750612a732b06f19b746274100aed908972c", "generator_version": "3.0"}
{"id": "v3_val_00002698", "prompt": "Evaluate: 17 / 9 + (-966)", "solution_steps": ["Divide: 17 / 9 = 17/9", "Add: 17/9 + (-966) = -8677/9"], "final_answer": "-8677/9", "answer_type": "rational", "kind": "expression", "math_text": "17 / 9 + (-966)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 9, \"c\": -966}", "seed": "8182189269234594019", "semantic_fingerprint": "sha256:4e52b55cac38b931c1a9edb02474ff0ee48a09697da3c1d605b6c445a2ffbd17", "generator_version": "3.0"}
{"id": "v3_val_00002699", "prompt": "What is 5 * 8 * 7 * (-6)?", "solution_steps": ["Multiply: 5 * 8 = 40", "Multiply: 40 * 7 = 280", "Multiply: 280 * (-6) = -1680"], "final_answer": "-1680", "answer_type": "integer", "kind": "expression", "math_text": "5 * 8 * 7 * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 7, \"d\": -6}", "seed": "6275465706156277363", "semantic_fingerprint": "sha256:b3fe1f4e7ca577f8d3dab920b47c1046cf2281a1090e9a6d02703edfa919a11c", "generator_version": "3.0"}
{"id": "v3_val_00002700", "prompt": "What value of x satisfies x - 246 = 4x - 14?", "solution_steps": ["Subtract 4x from both sides: -3x - 246 = -14", "Add 246 to both sides: -3x = 232", "Divide both sides by -3: x = -232/3"], "final_answer": "-232/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 246 = 4x - 14", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 246, \"b\": 4, \"c\": 14}", "seed": "2249045002088973402", "semantic_fingerprint": "sha256:d47b086d5a16a33adea455be8d696c2c03450c51ab9c27bb60a065767c655a50", "generator_version": "3.0"}
{"id": "v3_val_00002701", "prompt": "Compute: 78 / (-521) + (-832) - (-99)", "solution_steps": ["Divide: 78 / (-521) = -78/521", "Add: -78/521 + (-832) = -433550/521", "Subtract: -433550/521 - (-99) = -381971/521"], "final_answer": "-381971/521", "answer_type": "rational", "kind": "expression", "math_text": "78 / (-521) + (-832) - (-99)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -521, \"c\": -832, \"d\": -99}", "seed": "9761108909806834607", "semantic_fingerprint": "sha256:64fc8571ad312a3b35e770faef850ac326a9e351c6b6c019f4cf5abdeb5b6eab", "generator_version": "3.0"}
{"id": "v3_val_00002702", "prompt": "Solve the equation -11(x - 35) - 517 = x for x.", "solution_steps": ["Expand: -11x + 385 - 517 = x", "Combine constants: -11x - 132 = x", "Subtract x from both sides: -12x - 132 = 0", "Add 132 to both sides: -12x = 132", "Divide both sides by -12: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 35) - 517 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 35, \"d\": -517, \"x\": -11}", "seed": "4097328697180157352", "semantic_fingerprint": "sha256:d0bef66fb96d355f0584ee51298faa004f14a95be5733ddb02ba9cfaa17e1620", "generator_version": "3.0"}
{"id": "v3_val_00002703", "prompt": "What is 0 + (12 + (9 - (848 + (-170))))?", "solution_steps": ["Add: 848 + (-170) = 678", "Subtract: 9 - 678 = -669", "Add: 12 + (-669) = -657", "Add: 0 + (-657) = -657"], "final_answer": "-657", "answer_type": "integer", "kind": "expression", "math_text": "0 + (12 + (9 - (848 + (-170))))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (- n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 12, \"c\": 9, \"d\": 848, \"e\": -170}", "seed": "17754791955325180005", "semantic_fingerprint": "sha256:70f26b908c9b07f56294eba1cd26acf1c7568b20dbe69b218b1d6fa683fda05c", "generator_version": "3.0"}
{"id": "v3_val_00002704", "prompt": "Solve for x: x - 97 = 5(x - 9)", "solution_steps": ["Expand: x - 97 = 5x - 45", "Subtract 5x from both sides: -4x - 97 = -45", "Add 97 to both sides: -4x = 52", "Divide both sides by -4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 97 = 5(x - 9)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"d\": -97, \"x\": -13}", "seed": "3375883704449786039", "semantic_fingerprint": "sha256:a48a28dd4dd70b4d56f731b6ad7060bb0b88e4046658b7691c9ba90d25d8b493", "generator_version": "3.0"}
{"id": "v3_val_00002705", "prompt": "Calculate: -2 * (-147) - (-354 - (-787) - (-73))", "solution_steps": ["Multiply: -2 * (-147) = 294", "Subtract: -354 - (-787) = 433", "Subtract: 433 - (-73) = 506", "Subtract: 294 - 506 = -212"], "final_answer": "-212", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-147) - (-354 - (-787) - (-73))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -147, \"c\": -354, \"d\": -787, \"e\": -73}", "seed": "11377922571075964190", "semantic_fingerprint": "sha256:d7ca7b163a8807ce56bf6d9e0444a4ae779a3316344f7ff76f5177ba2e7abe35", "generator_version": "3.0"}
{"id": "v3_val_00002706", "prompt": "Evaluate: 0 - (-6)", "solution_steps": ["Subtract: 0 - (-6) = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-6)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -6}", "seed": "15575931813877734496", "semantic_fingerprint": "sha256:09e64b2c532b21dd506acaf60dc3355214d696f4a2ab22971f9f38024f4427e5", "generator_version": "3.0"}
{"id": "v3_val_00002707", "prompt": "Evaluate: (-16 + 55) * 6", "solution_steps": ["Add: -16 + 55 = 39", "Multiply: 39 * 6 = 234"], "final_answer": "234", "answer_type": "integer", "kind": "expression", "math_text": "(-16 + 55) * 6", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 55, \"c\": 6}", "seed": "3824146081917987322", "semantic_fingerprint": "sha256:9e4389f87d8e47696df7b3d217009c031f7d0b62ee268b4cab21a30d95dd9787", "generator_version": "3.0"}
{"id": "v3_val_00002708", "prompt": "Find x: -12(x - 24) + 212 = 4(x - 934) - 4", "solution_steps": ["Expand: -12x + 288 + 212 = 4(x - 934) - 4", "Expand: -12x + 288 + 212 = 4x - 3736 - 4", "Combine constants: -12x + 500 = 4x - 3736 - 4", "Combine constants: -12x + 500 = 4x - 3740", "Subtract 4x from both sides: -16x + 500 = -3740", "Subtract 500 from both sides: -16x = -4240", "Divide both sides by -16: x = 265"], "final_answer": "265", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 24) + 212 = 4(x - 934) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 24, \"c\": 212, \"d\": 4, \"e\": 934, \"f\": 4}", "seed": "6679746635968323521", "semantic_fingerprint": "sha256:05eed057fdd6466b74dc16b9a76d05daecac4f1bbaae44d48ec267df72ce0fc9", "generator_version": "3.0"}
{"id": "v3_val_00002709", "prompt": "Evaluate: 2 + 45 / 615", "solution_steps": ["Divide: 45 / 615 = 3/41", "Add: 2 + 3/41 = 85/41"], "final_answer": "85/41", "answer_type": "rational", "kind": "expression", "math_text": "2 + 45 / 615", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 45, \"c\": 615}", "seed": "6270235159406399271", "semantic_fingerprint": "sha256:dc498b3b22f004f56d00574761230ea395e3db0bde050bd226e3bcf6152c5ac4", "generator_version": "3.0"}
{"id": "v3_val_00002710", "prompt": "Calculate: (-85 + 5) * (-96 + (-65 + 96) / 8)", "solution_steps": ["Add: -85 + 5 = -80", "Add: -65 + 96 = 31", "Divide: 31 / 8 = 31/8", "Add: -96 + 31/8 = -737/8", "Multiply: -80 * (-737/8) = 7370"], "final_answer": "7370", "answer_type": "integer", "kind": "expression", "math_text": "(-85 + 5) * (-96 + (-65 + 96) / 8)", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (+ n (/ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 5, \"c\": -96, \"d\": -65, \"e\": 96, \"f\": 8}", "seed": "7217945605585639388", "semantic_fingerprint": "sha256:06464528a11b1ff4091e7a800dc1290abde52a54bb83b29c94ab9767ea0cf995", "generator_version": "3.0"}
{"id": "v3_val_00002711", "prompt": "Compute: 617 + (-3 - 6)", "solution_steps": ["Subtract: -3 - 6 = -9", "Add: 617 + (-9) = 608"], "final_answer": "608", "answer_type": "integer", "kind": "expression", "math_text": "617 + (-3 - 6)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 617, \"b\": -3, \"c\": 6}", "seed": "7450350962791028269", "semantic_fingerprint": "sha256:4a89d7b8b63c67ed52fda16cb92441ee36127118a3212388186e29c1aac13271", "generator_version": "3.0"}
{"id": "v3_val_00002712", "prompt": "Solve for x: 3(x + 7) - 81 = -2x", "solution_steps": ["Expand: 3x + 21 - 81 = -2x", "Combine constants: 3x - 60 = -2x", "Add 2x 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": "3(x + 7) - 81 = -2x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": -2, \"e\": -81, \"x\": 12}", "seed": "13374205567988167615", "semantic_fingerprint": "sha256:79864304e953c547f7c2e686436db1a9c3a89972d9b6481b1f4d32668047f160", "generator_version": "3.0"}
{"id": "v3_val_00002713", "prompt": "Compute: 427 + (-23 + (-3) - (-42) / 9 - 7)", "solution_steps": ["Add: -23 + (-3) = -26", "Divide: -42 / 9 = -14/3", "Subtract: -26 - (-14/3) = -64/3", "Subtract: -64/3 - 7 = -85/3", "Add: 427 + (-85/3) = 1196/3"], "final_answer": "1196/3", "answer_type": "rational", "kind": "expression", "math_text": "427 + (-23 + (-3) - (-42) / 9 - 7)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (- (+ n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 427, \"b\": -23, \"c\": -3, \"d\": -42, \"e\": 9, \"f\": 7}", "seed": "71104807914948393", "semantic_fingerprint": "sha256:23c474aa44d50df151e6a0ec2df313cfbb99263322de7efcb17ae91ea9a117ae", "generator_version": "3.0"}
{"id": "v3_val_00002714", "prompt": "Calculate: (58 - (-81)) / (-107)", "solution_steps": ["Subtract: 58 - (-81) = 139", "Divide: 139 / (-107) = -139/107"], "final_answer": "-139/107", "answer_type": "rational", "kind": "expression", "math_text": "(58 - (-81)) / (-107)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -81, \"c\": -107}", "seed": "13620191606966873611", "semantic_fingerprint": "sha256:69dfb58b53b6d53d4bff2a1bce0fd0fa48beffbdc44060d884f29757fbab2c97", "generator_version": "3.0"}
{"id": "v3_val_00002715", "prompt": "Compute: -70 - (-68) * (-680)", "solution_steps": ["Multiply: -68 * (-680) = 46240", "Subtract: -70 - 46240 = -46310"], "final_answer": "-46310", "answer_type": "integer", "kind": "expression", "math_text": "-70 - (-68) * (-680)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -68, \"c\": -680}", "seed": "4268496456955631883", "semantic_fingerprint": "sha256:2aed8c9d04fbf2fd7c8191b8f76a2607be31602a960b570eada270cf4f0abad0", "generator_version": "3.0"}
{"id": "v3_val_00002716", "prompt": "Calculate: 184 / (35 + (0 - 7))", "solution_steps": ["Subtract: 0 - 7 = -7", "Add: 35 + (-7) = 28", "Divide: 184 / 28 = 46/7"], "final_answer": "46/7", "answer_type": "rational", "kind": "expression", "math_text": "184 / (35 + (0 - 7))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 184, \"b\": 35, \"c\": 0, \"d\": 7}", "seed": "1380379175995859784", "semantic_fingerprint": "sha256:c6b128f384cdabbc1a60d4b8ffdec2eef905f8654cd9c8d4274aafba9ec56dc7", "generator_version": "3.0"}
{"id": "v3_val_00002717", "prompt": "Calculate: (90 - (-8 + (-29 - (-18)))) / (92 - (-35))", "solution_steps": ["Subtract: -29 - (-18) = -11", "Add: -8 + (-11) = -19", "Subtract: 90 - (-19) = 109", "Subtract: 92 - (-35) = 127", "Divide: 109 / 127 = 109/127"], "final_answer": "109/127", "answer_type": "rational", "kind": "expression", "math_text": "(90 - (-8 + (-29 - (-18)))) / (92 - (-35))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ n (- n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -8, \"c\": -29, \"d\": -18, \"e\": 92, \"f\": -35}", "seed": "18254986053616737654", "semantic_fingerprint": "sha256:9478f2cea47b7340a9c6ef429ce214c97eb08100ab0164f2377acad9c72f448f", "generator_version": "3.0"}
{"id": "v3_val_00002718", "prompt": "Find x: 12(x - 47) = 5(x - 13) + 38", "solution_steps": ["Expand: 12x - 564 = 5(x - 13) + 38", "Expand: 12x - 564 = 5x - 65 + 38", "Combine constants: 12x - 564 = 5x - 27", "Subtract 5x from both sides: 7x - 564 = -27", "Add 564 to both sides: 7x = 537", "Divide both sides by 7: x = 537/7"], "final_answer": "537/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 47) = 5(x - 13) + 38", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 47, \"c\": 5, \"d\": 13, \"e\": 38}", "seed": "6108860329328220522", "semantic_fingerprint": "sha256:b7fd9ce7c3cc5a8f93e79751006b0ebce024f9e5623e561a86e52810de715e36", "generator_version": "3.0"}
{"id": "v3_val_00002719", "prompt": "Solve for x: x = -9(x - 104) - 906", "solution_steps": ["Expand: x = -9x + 936 - 906", "Combine constants: x = -9x + 30", "Add 9x to both sides: 10x = 30", "Divide both sides by 10: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -9(x - 104) - 906", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 104, \"d\": -906, \"x\": 3}", "seed": "15705042914724396166", "semantic_fingerprint": "sha256:ea377dc6cf57bf870a36539e9675144c5244ad12e4e323d946b509bed10d9a56", "generator_version": "3.0"}
{"id": "v3_val_00002720", "prompt": "Solve the equation x - 3 = -3(x + 3) - 66 for x.", "solution_steps": ["Expand: x - 3 = -3x - 9 - 66", "Combine constants: x - 3 = -3x - 75", "Add 3x to both sides: 4x - 3 = -75", "Add 3 to both sides: 4x = -72", "Divide both sides by 4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = -3(x + 3) - 66", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -3, \"c\": 3, \"e\": -66, \"x\": -18}", "seed": "12959465022687688482", "semantic_fingerprint": "sha256:07c594910aaa7685ac0e17d07a636fb234de40deb13549966f5d887e82b05870", "generator_version": "3.0"}
{"id": "v3_val_00002721", "prompt": "Calculate: -569 * 46 + 30 - 0 / (3 - (-2))", "solution_steps": ["Multiply: -569 * 46 = -26174", "Add: -26174 + 30 = -26144", "Subtract: 3 - (-2) = 5", "Divide: 0 / 5 = 0", "Subtract: -26144 - 0 = -26144"], "final_answer": "-26144", "answer_type": "integer", "kind": "expression", "math_text": "-569 * 46 + 30 - 0 / (3 - (-2))", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -569, \"b\": 46, \"c\": 30, \"d\": 0, \"e\": 3, \"f\": -2}", "seed": "6893681215498306897", "semantic_fingerprint": "sha256:7955bb43d742d33c7af17fdb9d172bd9e4ed4456ed75800b1610fc6ca9fc11ea", "generator_version": "3.0"}
{"id": "v3_val_00002722", "prompt": "Solve for x: 6x + 810 = -8(x - 180) - 49", "solution_steps": ["Expand: 6x + 810 = -8x + 1440 - 49", "Combine constants: 6x + 810 = -8x + 1391", "Add 8x to both sides: 14x + 810 = 1391", "Subtract 810 from both sides: 14x = 581", "Divide both sides by 14: x = 83/2"], "final_answer": "83/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x + 810 = -8(x - 180) - 49", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 810, \"c\": -8, \"d\": 180, \"e\": 49}", "seed": "5840819286438502521", "semantic_fingerprint": "sha256:403e16172737fcfe618dd2cae71a18a25958956fb0d473c1d1c376727d2cc1cc", "generator_version": "3.0"}
{"id": "v3_val_00002723", "prompt": "What is -75 / 240?", "solution_steps": ["Divide: -75 / 240 = -5/16"], "final_answer": "-5/16", "answer_type": "rational", "kind": "expression", "math_text": "-75 / 240", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 240}", "seed": "12108836393885144031", "semantic_fingerprint": "sha256:c167a6bedd26caa3189ee76041451668c85e7932f4e72ab8cc4941bfae2a3450", "generator_version": "3.0"}
{"id": "v3_val_00002724", "prompt": "Solve the equation 6(x - 2) + 8 = -10x - 8 for x.", "solution_steps": ["Expand: 6x - 12 + 8 = -10x - 8", "Combine constants: 6x - 4 = -10x - 8", "Add 10x to both sides: 16x - 4 = -8", "Add 4 to both sides: 16x = -4", "Divide both sides by 16: x = -1/4"], "final_answer": "-1/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 2) + 8 = -10x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 8, \"d\": -10, \"e\": 8}", "seed": "3592470161896754796", "semantic_fingerprint": "sha256:5790f077c1b532a7b666070a6855fe924abc1e14f38c4e29ad7490108ab836d6", "generator_version": "3.0"}
{"id": "v3_val_00002725", "prompt": "Compute: -3 / (79 / ((8 - 5 + (-2)) / 2))", "solution_steps": ["Subtract: 8 - 5 = 3", "Add: 3 + (-2) = 1", "Divide: 1 / 2 = 1/2", "Divide: 79 / (1/2) = 158", "Divide: -3 / 158 = -3/158"], "final_answer": "-3/158", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (79 / ((8 - 5 + (-2)) / 2))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ n (/ (+ (- n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 79, \"c\": 8, \"d\": 5, \"e\": -2, \"f\": 2}", "seed": "8857125024642885811", "semantic_fingerprint": "sha256:5104884bec84f71ef50f0ef820080758c9e62458603fd20dc831d7e88263ccdb", "generator_version": "3.0"}
{"id": "v3_val_00002726", "prompt": "Compute: 571 / (-3)", "solution_steps": ["Divide: 571 / (-3) = -571/3"], "final_answer": "-571/3", "answer_type": "rational", "kind": "expression", "math_text": "571 / (-3)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 571, \"b\": -3}", "seed": "8221405541976491715", "semantic_fingerprint": "sha256:823fb8367e221f53565276dd11b265df8001fe23c1656ad3c7bf63b00ddebc58", "generator_version": "3.0"}
{"id": "v3_val_00002727", "prompt": "What is 530 / 30 + (489 - 64) / (-3 + 39)?", "solution_steps": ["Divide: 530 / 30 = 53/3", "Subtract: 489 - 64 = 425", "Add: -3 + 39 = 36", "Divide: 425 / 36 = 425/36", "Add: 53/3 + 425/36 = 1061/36"], "final_answer": "1061/36", "answer_type": "rational", "kind": "expression", "math_text": "530 / 30 + (489 - 64) / (-3 + 39)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (/ (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 530, \"b\": 30, \"c\": 489, \"d\": 64, \"e\": -3, \"f\": 39}", "seed": "16984897371596774856", "semantic_fingerprint": "sha256:6bec1f47586cb924c07dc1ac8144d00fcc56a675c85f157f34923491f8371912", "generator_version": "3.0"}
{"id": "v3_val_00002728", "prompt": "What is 980 + 9 / (-14)?", "solution_steps": ["Divide: 9 / (-14) = -9/14", "Add: 980 + (-9/14) = 13711/14"], "final_answer": "13711/14", "answer_type": "rational", "kind": "expression", "math_text": "980 + 9 / (-14)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 980, \"b\": 9, \"c\": -14}", "seed": "9778118744621427112", "semantic_fingerprint": "sha256:749e4d6a0bb844845e77ca3b40a8a0fc3aacad0aa4c01ba752167f547d5790dc", "generator_version": "3.0"}
{"id": "v3_val_00002729", "prompt": "Compute: -48 - (741 - 0) / (-8 + 2 + (-17))", "solution_steps": ["Subtract: 741 - 0 = 741", "Add: -8 + 2 = -6", "Add: -6 + (-17) = -23", "Divide: 741 / (-23) = -741/23", "Subtract: -48 - (-741/23) = -363/23"], "final_answer": "-363/23", "answer_type": "rational", "kind": "expression", "math_text": "-48 - (741 - 0) / (-8 + 2 + (-17))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- n n) (+ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 741, \"c\": 0, \"d\": -8, \"e\": 2, \"f\": -17}", "seed": "15284331221025834031", "semantic_fingerprint": "sha256:2d509513c8ab8ddbdb6626f335c6eb855a0c4d8af420a530bdacb11d05d18757", "generator_version": "3.0"}
{"id": "v3_val_00002730", "prompt": "What is -28 / (-5)?", "solution_steps": ["Divide: -28 / (-5) = 28/5"], "final_answer": "28/5", "answer_type": "rational", "kind": "expression", "math_text": "-28 / (-5)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -5}", "seed": "9730092993716332314", "semantic_fingerprint": "sha256:6b35d7b45824c3d422c2dc60e199a82709af575a1b82ad94c5d2c00235538b10", "generator_version": "3.0"}
{"id": "v3_val_00002731", "prompt": "What is 438 - 265 / (-7)?", "solution_steps": ["Divide: 265 / (-7) = -265/7", "Subtract: 438 - (-265/7) = 3331/7"], "final_answer": "3331/7", "answer_type": "rational", "kind": "expression", "math_text": "438 - 265 / (-7)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 438, \"b\": 265, \"c\": -7}", "seed": "16008518161336639082", "semantic_fingerprint": "sha256:51fe6c52f5ae1539b6ebb03e7da11f8a7704a3dde34aecf6df7c2426f61b9e35", "generator_version": "3.0"}
{"id": "v3_val_00002732", "prompt": "What is (-2 - 35) / (640 - (-6))?", "solution_steps": ["Subtract: -2 - 35 = -37", "Subtract: 640 - (-6) = 646", "Divide: -37 / 646 = -37/646"], "final_answer": "-37/646", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - 35) / (640 - (-6))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 35, \"c\": 640, \"d\": -6}", "seed": "15227772920424144952", "semantic_fingerprint": "sha256:03b650dc7211eb9ee6718f5bac2e7ab247e9f4af62e22f3553b7c67f68a9ec70", "generator_version": "3.0"}
{"id": "v3_val_00002733", "prompt": "Evaluate: (2 + (-544 - 20 + 1)) / (-80 / 7)", "solution_steps": ["Subtract: -544 - 20 = -564", "Add: -564 + 1 = -563", "Add: 2 + (-563) = -561", "Divide: -80 / 7 = -80/7", "Divide: -561 / (-80/7) = 3927/80"], "final_answer": "3927/80", "answer_type": "rational", "kind": "expression", "math_text": "(2 + (-544 - 20 + 1)) / (-80 / 7)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ (- n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -544, \"c\": 20, \"d\": 1, \"e\": -80, \"f\": 7}", "seed": "12551493308364755060", "semantic_fingerprint": "sha256:099bddf9e1879bc2a109c8c52a2c2e88b69c9381ff5e081077c238042fb8295c", "generator_version": "3.0"}
{"id": "v3_val_00002734", "prompt": "Evaluate: -55 * 33 + (88 + 10)", "solution_steps": ["Multiply: -55 * 33 = -1815", "Add: 88 + 10 = 98", "Add: -1815 + 98 = -1717"], "final_answer": "-1717", "answer_type": "integer", "kind": "expression", "math_text": "-55 * 33 + (88 + 10)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 33, \"c\": 88, \"d\": 10}", "seed": "199691848193289658", "semantic_fingerprint": "sha256:2aaafc181a86c6ae411897e29c0905505000938823a7c4495609ce4d2249a9e3", "generator_version": "3.0"}
{"id": "v3_val_00002735", "prompt": "Find x: -10(x - 21) = -5(x - 7) + 165", "solution_steps": ["Expand: -10x + 210 = -5(x - 7) + 165", "Expand: -10x + 210 = -5x + 35 + 165", "Combine constants: -10x + 210 = -5x + 200", "Add 5x to both sides: -5x + 210 = 200", "Subtract 210 from both sides: -5x = -10", "Divide both sides by -5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 21) = -5(x - 7) + 165", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 21, \"c\": -5, \"d\": 7, \"f\": 165, \"x\": 2}", "seed": "16282337352409243010", "semantic_fingerprint": "sha256:d78b78d649daeb9d0f1cf1835310bab9ef9bea56b6d9077ef0a078b6707e2ff4", "generator_version": "3.0"}
{"id": "v3_val_00002736", "prompt": "Find x: -7x + 2 = 10x + 5", "solution_steps": ["Subtract 10x from both sides: -17x + 2 = 5", "Subtract 2 from both sides: -17x = 3", "Divide both sides by -17: x = -3/17"], "final_answer": "-3/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x + 2 = 10x + 5", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 10, \"d\": 5}", "seed": "12320693268482313519", "semantic_fingerprint": "sha256:242ac3b9ff6b7d66cce31c9df656076d497fecdd7d41fe9a593a596755e79191", "generator_version": "3.0"}
{"id": "v3_val_00002737", "prompt": "Solve the equation -10(x + 6) + 96 = 10x - 224 for x.", "solution_steps": ["Expand: -10x - 60 + 96 = 10x - 224", "Combine constants: -10x + 36 = 10x - 224", "Subtract 10x from both sides: -20x + 36 = -224", "Subtract 36 from both sides: -20x = -260", "Divide both sides by -20: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 6) + 96 = 10x - 224", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6, \"c\": 96, \"d\": 10, \"f\": -224, \"x\": 13}", "seed": "12124651333311896846", "semantic_fingerprint": "sha256:7002647290cc48a24f91510cbb673cf93b3403d6e621b46856d21a3c14068dc3", "generator_version": "3.0"}
{"id": "v3_val_00002738", "prompt": "Calculate: (-89 + 66) / 30", "solution_steps": ["Add: -89 + 66 = -23", "Divide: -23 / 30 = -23/30"], "final_answer": "-23/30", "answer_type": "rational", "kind": "expression", "math_text": "(-89 + 66) / 30", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 66, \"c\": 30}", "seed": "3504885817911851396", "semantic_fingerprint": "sha256:8c469d0ee41de076c00b9c2c9f744f0bb22fb3e60094e235b71ce71d5ca67e68", "generator_version": "3.0"}
{"id": "v3_val_00002739", "prompt": "Compute: 12 + 5 * 0", "solution_steps": ["Multiply: 5 * 0 = 0", "Add: 12 + 0 = 12"], "final_answer": "12", "answer_type": "integer", "kind": "expression", "math_text": "12 + 5 * 0", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 0}", "seed": "6298272390242650053", "semantic_fingerprint": "sha256:74a89014c12ab675b7a2d51f7d61d1522fa3714b4b5f047843c745c08cf5083d", "generator_version": "3.0"}
{"id": "v3_val_00002740", "prompt": "Solve for x: x = 8(x - 9) + 82", "solution_steps": ["Expand: x = 8x - 72 + 82", "Combine constants: x = 8x + 10", "Subtract 8x from both sides: -7x = 10", "Divide both sides by -7: x = -10/7"], "final_answer": "-10/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 8(x - 9) + 82", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 82}", "seed": "11584526837994473608", "semantic_fingerprint": "sha256:422780846346330c645278b6e39454f19383596d80af015a815b5d50fbc9abbf", "generator_version": "3.0"}
{"id": "v3_val_00002741", "prompt": "Solve for x: 10x = 60", "solution_steps": ["Divide both sides by 10: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 60", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": 60, \"x\": 6}", "seed": "11622546107414791217", "semantic_fingerprint": "sha256:2689ad9e09a433ad29aeb239f7d2b0f70df08f0a1d9784897f564ad95e857505", "generator_version": "3.0"}
{"id": "v3_val_00002742", "prompt": "Evaluate: (-2 - (-7) + (-6)) / (20 + 61)", "solution_steps": ["Subtract: -2 - (-7) = 5", "Add: 5 + (-6) = -1", "Add: 20 + 61 = 81", "Divide: -1 / 81 = -1/81"], "final_answer": "-1/81", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - (-7) + (-6)) / (20 + 61)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -7, \"c\": -6, \"d\": 20, \"e\": 61}", "seed": "3512169477318474546", "semantic_fingerprint": "sha256:600650755e6aa805919da58e503d40e6d15427809d1d4f409adeeae5e7e1b693", "generator_version": "3.0"}
{"id": "v3_val_00002743", "prompt": "Evaluate: -39 * 244 - 20", "solution_steps": ["Multiply: -39 * 244 = -9516", "Subtract: -9516 - 20 = -9536"], "final_answer": "-9536", "answer_type": "integer", "kind": "expression", "math_text": "-39 * 244 - 20", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 244, \"c\": 20}", "seed": "1883248118787945569", "semantic_fingerprint": "sha256:9f132792507e761c12cf3d54d5641517a2e2dd8b0f1758aacc9cc5588d04c51b", "generator_version": "3.0"}
{"id": "v3_val_00002744", "prompt": "Compute: 3 - 57", "solution_steps": ["Subtract: 3 - 57 = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "expression", "math_text": "3 - 57", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 57}", "seed": "11046877094055962708", "semantic_fingerprint": "sha256:74059221c5382a2a53e465bc710be8b3b1bb721b00aea86bf0c753bd08d8f41a", "generator_version": "3.0"}
{"id": "v3_val_00002745", "prompt": "What value of x satisfies 12x - 43 = x + 78?", "solution_steps": ["Subtract x from both sides: 11x - 43 = 78", "Add 43 to both sides: 11x = 121", "Divide both sides by 11: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 43 = x + 78", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 43, \"d\": 78, \"x\": 11}", "seed": "6105522722317249872", "semantic_fingerprint": "sha256:fff129917f6e8693eaa08df37916c3cb44df8a572eda1de08caf5720c88f4d35", "generator_version": "3.0"}
{"id": "v3_val_00002746", "prompt": "What is 4 - (-15)?", "solution_steps": ["Subtract: 4 - (-15) = 19"], "final_answer": "19", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-15)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -15}", "seed": "4927463257078493123", "semantic_fingerprint": "sha256:868913ac41c53bc28d365954c47b81f399ce2fb496800472de3eabacda7aba04", "generator_version": "3.0"}
{"id": "v3_val_00002747", "prompt": "Solve for x: -11(x + 4) + 85 = x - 948", "solution_steps": ["Expand: -11x - 44 + 85 = x - 948", "Combine constants: -11x + 41 = x - 948", "Subtract x from both sides: -12x + 41 = -948", "Subtract 41 from both sides: -12x = -989", "Divide both sides by -12: x = 989/12"], "final_answer": "989/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 4) + 85 = x - 948", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"c\": 85, \"d\": 948}", "seed": "6653616419315720339", "semantic_fingerprint": "sha256:6d4f990d15903a8918555d9c8b5c6847f4e81cd9fb6a8baa770c10075276a157", "generator_version": "3.0"}
{"id": "v3_val_00002748", "prompt": "What is -7 * 89?", "solution_steps": ["Multiply: -7 * 89 = -623"], "final_answer": "-623", "answer_type": "integer", "kind": "expression", "math_text": "-7 * 89", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 89}", "seed": "11911103220475941609", "semantic_fingerprint": "sha256:fbc2c2d65d8c85316e6529181945f41005f2272ffeec84d237836ec48f5d5bce", "generator_version": "3.0"}
{"id": "v3_val_00002749", "prompt": "Solve the equation 7x - 717 = x for x.", "solution_steps": ["Subtract x from both sides: 6x - 717 = 0", "Add 717 to both sides: 6x = 717", "Divide both sides by 6: x = 239/2"], "final_answer": "239/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 717 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 717}", "seed": "12454723215904961620", "semantic_fingerprint": "sha256:2e8b782f8827406cdb276c8cbb85fbcd8d094e7781d13c88331196d7c773758d", "generator_version": "3.0"}
{"id": "v3_val_00002750", "prompt": "Solve for x: 6(x - 3) = -78", "solution_steps": ["Expand: 6x - 18 = -78", "Add 18 to both sides: 6x = -60", "Divide both sides by 6: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) = -78", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"d\": -78, \"x\": -10}", "seed": "4188584748012089724", "semantic_fingerprint": "sha256:47b986dd728069bc21c798074aeb08f326ad44847c3dbfb58345b924d035c169", "generator_version": "3.0"}
{"id": "v3_val_00002751", "prompt": "Evaluate: (2 - (-5)) * (-420 - (-42)) * 169", "solution_steps": ["Subtract: 2 - (-5) = 7", "Subtract: -420 - (-42) = -378", "Multiply: 7 * (-378) = -2646", "Multiply: -2646 * 169 = -447174"], "final_answer": "-447174", "answer_type": "integer", "kind": "expression", "math_text": "(2 - (-5)) * (-420 - (-42)) * 169", "variable": null, "family": "expression_4op", "shape": "(* (* (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -5, \"c\": -420, \"d\": -42, \"e\": 169}", "seed": "2777594100305711066", "semantic_fingerprint": "sha256:37d1b553cf118319455a0606b3722b0cf9421de0b0a5d4f456395778f8a147a3", "generator_version": "3.0"}
{"id": "v3_val_00002752", "prompt": "Evaluate: (-46 - 2) / (-78)", "solution_steps": ["Subtract: -46 - 2 = -48", "Divide: -48 / (-78) = 8/13"], "final_answer": "8/13", "answer_type": "rational", "kind": "expression", "math_text": "(-46 - 2) / (-78)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 2, \"c\": -78}", "seed": "6837163407869308970", "semantic_fingerprint": "sha256:b661351dfc93bc82a17f41db6b5703d8488bbd439270138fb24b7a401ffa0dd2", "generator_version": "3.0"}
{"id": "v3_val_00002753", "prompt": "What is 317 * (7 - 0) - 95?", "solution_steps": ["Subtract: 7 - 0 = 7", "Multiply: 317 * 7 = 2219", "Subtract: 2219 - 95 = 2124"], "final_answer": "2124", "answer_type": "integer", "kind": "expression", "math_text": "317 * (7 - 0) - 95", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 317, \"b\": 7, \"c\": 0, \"d\": 95}", "seed": "1795004081705947507", "semantic_fingerprint": "sha256:899ebbc1731fe86eacd44ae36da94a9d935993244b46c91ac936390b95b00053", "generator_version": "3.0"}
{"id": "v3_val_00002754", "prompt": "Compute: -6 - (-66) / ((-676 + 14) * (-8))", "solution_steps": ["Add: -676 + 14 = -662", "Multiply: -662 * (-8) = 5296", "Divide: -66 / 5296 = -33/2648", "Subtract: -6 - (-33/2648) = -15855/2648"], "final_answer": "-15855/2648", "answer_type": "rational", "kind": "expression", "math_text": "-6 - (-66) / ((-676 + 14) * (-8))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (* (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -66, \"c\": -676, \"d\": 14, \"e\": -8}", "seed": "640638426114236656", "semantic_fingerprint": "sha256:26e98c66650d9834fdf137588073783795f352d05dd6deb196d9f60e62a17707", "generator_version": "3.0"}
{"id": "v3_val_00002755", "prompt": "Calculate: -4 * 98", "solution_steps": ["Multiply: -4 * 98 = -392"], "final_answer": "-392", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 98", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 98}", "seed": "8037250135004423649", "semantic_fingerprint": "sha256:b62f661601b232bc08cef7e9f5c65cec49971f037a0e37186c1906fba2102ddc", "generator_version": "3.0"}
{"id": "v3_val_00002756", "prompt": "Compute: 1 * (-740) / (-37 / (40 * (-40)))", "solution_steps": ["Multiply: 1 * (-740) = -740", "Multiply: 40 * (-40) = -1600", "Divide: -37 / (-1600) = 37/1600", "Divide: -740 / (37/1600) = -32000"], "final_answer": "-32000", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-740) / (-37 / (40 * (-40)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -740, \"c\": -37, \"d\": 40, \"e\": -40}", "seed": "1600709100792327666", "semantic_fingerprint": "sha256:77f8752be8b039a4c0253d07cccbf2a725976aca4a6f07c8da9433c978ff3fe7", "generator_version": "3.0"}
{"id": "v3_val_00002757", "prompt": "What value of x satisfies 7(x - 29) = 9(x + 847)?", "solution_steps": ["Expand: 7x - 203 = 9(x + 847)", "Expand: 7x - 203 = 9x + 7623", "Subtract 9x from both sides: -2x - 203 = 7623", "Add 203 to both sides: -2x = 7826", "Divide both sides by -2: x = -3913"], "final_answer": "-3913", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 29) = 9(x + 847)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 29, \"c\": 9, \"d\": 847}", "seed": "12805447271273540908", "semantic_fingerprint": "sha256:c8b3c8e5378ef47f712a3cad0384502bcf2f73c241fac190a1a69fcd1824e8e2", "generator_version": "3.0"}
{"id": "v3_val_00002758", "prompt": "Evaluate: 4 / (-68 - (-4) / (-3) - (-185))", "solution_steps": ["Divide: -4 / (-3) = 4/3", "Subtract: -68 - 4/3 = -208/3", "Subtract: -208/3 - (-185) = 347/3", "Divide: 4 / (347/3) = 12/347"], "final_answer": "12/347", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-68 - (-4) / (-3) - (-185))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (- n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -68, \"c\": -4, \"d\": -3, \"e\": -185}", "seed": "1804093469009743792", "semantic_fingerprint": "sha256:304003c5d215450d3a529641341c426f4b080821945564bd89ea56151de6f5ef", "generator_version": "3.0"}
{"id": "v3_val_00002759", "prompt": "Evaluate: -36 / 5", "solution_steps": ["Divide: -36 / 5 = -36/5"], "final_answer": "-36/5", "answer_type": "rational", "kind": "expression", "math_text": "-36 / 5", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 5}", "seed": "5037812243908369346", "semantic_fingerprint": "sha256:f5a84516ba4dac770a814f8e6786c808221d5230a328a33e0a4a65f894433dbb", "generator_version": "3.0"}
{"id": "v3_val_00002760", "prompt": "Compute: 34 * (-538) - (-3)", "solution_steps": ["Multiply: 34 * (-538) = -18292", "Subtract: -18292 - (-3) = -18289"], "final_answer": "-18289", "answer_type": "integer", "kind": "expression", "math_text": "34 * (-538) - (-3)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -538, \"c\": -3}", "seed": "901405918537993003", "semantic_fingerprint": "sha256:98b3638c48b93b8f231cf5469914d7cb64506888d96d5ddc2c52c3a1a5626a43", "generator_version": "3.0"}
{"id": "v3_val_00002761", "prompt": "Evaluate: 9 / (-8 / (-3))", "solution_steps": ["Divide: -8 / (-3) = 8/3", "Divide: 9 / (8/3) = 27/8"], "final_answer": "27/8", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-8 / (-3))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": -3}", "seed": "10595512561232483729", "semantic_fingerprint": "sha256:044358e924aa812546d5f4445c655d181933b03d64af6ea1fb7cd22d3b77fa51", "generator_version": "3.0"}
{"id": "v3_val_00002762", "prompt": "Calculate: 89 / (-61 / 71) * 5 / (-55 / 6)", "solution_steps": ["Divide: -61 / 71 = -61/71", "Divide: 89 / (-61/71) = -6319/61", "Multiply: (-6319/61) * 5 = -31595/61", "Divide: -55 / 6 = -55/6", "Divide: (-31595/61) / (-55/6) = 37914/671"], "final_answer": "37914/671", "answer_type": "rational", "kind": "expression", "math_text": "89 / (-61 / 71) * 5 / (-55 / 6)", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n (/ n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -61, \"c\": 71, \"d\": 5, \"e\": -55, \"f\": 6}", "seed": "7568477843070659991", "semantic_fingerprint": "sha256:f709591a5131ac296ceed330189523f5d6be2dadf4e6a7a5431b44696aa63731", "generator_version": "3.0"}
{"id": "v3_val_00002763", "prompt": "What is 5 + 1 * 69?", "solution_steps": ["Multiply: 1 * 69 = 69", "Add: 5 + 69 = 74"], "final_answer": "74", "answer_type": "integer", "kind": "expression", "math_text": "5 + 1 * 69", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 69}", "seed": "4453894411389305229", "semantic_fingerprint": "sha256:5e98faf382b0f356a1e21401c87a900a3cc80e1250bde1bdb4b12cd3c90e59b2", "generator_version": "3.0"}
{"id": "v3_val_00002764", "prompt": "Calculate: -866 / (-68) * 40", "solution_steps": ["Divide: -866 / (-68) = 433/34", "Multiply: (433/34) * 40 = 8660/17"], "final_answer": "8660/17", "answer_type": "rational", "kind": "expression", "math_text": "-866 / (-68) * 40", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -866, \"b\": -68, \"c\": 40}", "seed": "11901791235655301188", "semantic_fingerprint": "sha256:34ce044094737ca11b875e0d9e3c2c61091d4ec43fd6cc9354bcc0398ab5b3fe", "generator_version": "3.0"}
{"id": "v3_val_00002765", "prompt": "What is (178 + (-5 + 504)) / (0 - (-33))?", "solution_steps": ["Add: -5 + 504 = 499", "Add: 178 + 499 = 677", "Subtract: 0 - (-33) = 33", "Divide: 677 / 33 = 677/33"], "final_answer": "677/33", "answer_type": "rational", "kind": "expression", "math_text": "(178 + (-5 + 504)) / (0 - (-33))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 178, \"b\": -5, \"c\": 504, \"d\": 0, \"e\": -33}", "seed": "10724934441143713163", "semantic_fingerprint": "sha256:df3c40e125aea18586515720d05f8a81daec85026dda73dcd135745fa8dc5be9", "generator_version": "3.0"}
{"id": "v3_val_00002766", "prompt": "Evaluate: -5 / (-4) * 1", "solution_steps": ["Divide: -5 / (-4) = 5/4", "Multiply: (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": "4432240514439423014", "semantic_fingerprint": "sha256:5a588b7fd2716e5c10e2030571e6a2f71819b42dd131a9238d79c5acf270fd78", "generator_version": "3.0"}
{"id": "v3_val_00002767", "prompt": "Find x: -10x = 11x + 231", "solution_steps": ["Subtract 11x from both sides: -21x = 231", "Divide both sides by -21: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = 11x + 231", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 11, \"d\": 231, \"x\": -11}", "seed": "16512974051969576483", "semantic_fingerprint": "sha256:1ce9d68a1b39816278a60c774fe8bd15daec94028f39de0c63895dc03fdac072", "generator_version": "3.0"}
{"id": "v3_val_00002768", "prompt": "Calculate: -689 * (-440) / (-98 * (-6))", "solution_steps": ["Multiply: -689 * (-440) = 303160", "Multiply: -98 * (-6) = 588", "Divide: 303160 / 588 = 75790/147"], "final_answer": "75790/147", "answer_type": "rational", "kind": "expression", "math_text": "-689 * (-440) / (-98 * (-6))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -689, \"b\": -440, \"c\": -98, \"d\": -6}", "seed": "9470326300997481596", "semantic_fingerprint": "sha256:03f532d6682a30baf5909982908c3becb2cf5a15aba5d720cb56c1b3800d50eb", "generator_version": "3.0"}
{"id": "v3_val_00002769", "prompt": "Find x: 7(x + 9) = 10(x + 45)", "solution_steps": ["Expand: 7x + 63 = 10(x + 45)", "Expand: 7x + 63 = 10x + 450", "Subtract 10x from both sides: -3x + 63 = 450", "Subtract 63 from both sides: -3x = 387", "Divide both sides by -3: x = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 9) = 10(x + 45)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 10, \"d\": 45}", "seed": "329190080784965778", "semantic_fingerprint": "sha256:d2ef99e6cb4daa2f56502601ce3b488f431556679d67abb60e18393b9f9e800c", "generator_version": "3.0"}
{"id": "v3_val_00002770", "prompt": "Solve for x: 8x + 9 = 12(x + 5) - 111", "solution_steps": ["Expand: 8x + 9 = 12x + 60 - 111", "Combine constants: 8x + 9 = 12x - 51", "Subtract 12x 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 = 12(x + 5) - 111", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 12, \"d\": 5, \"f\": -111, \"x\": 15}", "seed": "3561473114151082873", "semantic_fingerprint": "sha256:339260c8216bae37de6771eda60057c03b2c6a6ee5ccaca1294855485ec3841f", "generator_version": "3.0"}
{"id": "v3_val_00002771", "prompt": "Solve the equation 9(x - 3) - 703 = 5x - 810 for x.", "solution_steps": ["Expand: 9x - 27 - 703 = 5x - 810", "Combine constants: 9x - 730 = 5x - 810", "Subtract 5x from both sides: 4x - 730 = -810", "Add 730 to both sides: 4x = -80", "Divide both sides by 4: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) - 703 = 5x - 810", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 703, \"d\": 5, \"f\": -810, \"x\": -20}", "seed": "11977905722129597800", "semantic_fingerprint": "sha256:26e45a93dce24a93fcfec6cc7e7df8eaa57dd63c0d5d0c2f5baec97ed1827899", "generator_version": "3.0"}
{"id": "v3_val_00002772", "prompt": "Compute: -1 + (-241)", "solution_steps": ["Add: -1 + (-241) = -242"], "final_answer": "-242", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-241)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -241}", "seed": "9240452351230663681", "semantic_fingerprint": "sha256:2ba6f0f423beb1ac27cd85c6c8b3a12f61db515d2abb536053aab880c7bcfd95", "generator_version": "3.0"}
{"id": "v3_val_00002773", "prompt": "Find x: 6(x - 836) = x", "solution_steps": ["Expand: 6x - 5016 = x", "Subtract x from both sides: 5x - 5016 = 0", "Add 5016 to both sides: 5x = 5016", "Divide both sides by 5: x = 5016/5"], "final_answer": "5016/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 836) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 836}", "seed": "6994889636308497942", "semantic_fingerprint": "sha256:c3e102ef749243676d13beed33d9e9464e68b101cde82ee36910e04653d5c125", "generator_version": "3.0"}
{"id": "v3_val_00002774", "prompt": "Compute: -45 - (-1) * 28 / 842", "solution_steps": ["Multiply: -1 * 28 = -28", "Divide: -28 / 842 = -14/421", "Subtract: -45 - (-14/421) = -18931/421"], "final_answer": "-18931/421", "answer_type": "rational", "kind": "expression", "math_text": "-45 - (-1) * 28 / 842", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -1, \"c\": 28, \"d\": 842}", "seed": "4485065747682013446", "semantic_fingerprint": "sha256:be42034576fd5d7382318a0451bc040d89eb5c2925b65b252cf3e505c1ae90a5", "generator_version": "3.0"}
{"id": "v3_val_00002775", "prompt": "Compute: -1 / (-10 * (-74))", "solution_steps": ["Multiply: -10 * (-74) = 740", "Divide: -1 / 740 = -1/740"], "final_answer": "-1/740", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-10 * (-74))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -10, \"c\": -74}", "seed": "4910467850341424970", "semantic_fingerprint": "sha256:ff07cc5d2016601b72f742b03dd7142e9f3e416808277761ff5c0d7af50a970f", "generator_version": "3.0"}
{"id": "v3_val_00002776", "prompt": "What value of x satisfies -7x = 12(x - 54)?", "solution_steps": ["Expand: -7x = 12x - 648", "Subtract 12x from both sides: -19x = -648", "Divide both sides by -19: x = 648/19"], "final_answer": "648/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x = 12(x - 54)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 12, \"c\": 54}", "seed": "6113517560329271443", "semantic_fingerprint": "sha256:e8653e4450cae984ac945b07fac69816e78046778a16baa8a45cfe65dc610c7b", "generator_version": "3.0"}
{"id": "v3_val_00002777", "prompt": "What is 993 - (-94 - 46) + (-44)?", "solution_steps": ["Subtract: -94 - 46 = -140", "Subtract: 993 - (-140) = 1133", "Add: 1133 + (-44) = 1089"], "final_answer": "1089", "answer_type": "integer", "kind": "expression", "math_text": "993 - (-94 - 46) + (-44)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 993, \"b\": -94, \"c\": 46, \"d\": -44}", "seed": "783245860286425942", "semantic_fingerprint": "sha256:4af2fcb418731c70953a646b31fa54de74aed2bdedaf517d4e571ffa82d5355b", "generator_version": "3.0"}
{"id": "v3_val_00002778", "prompt": "Solve the equation 6(x + 41) = x + 316 for x.", "solution_steps": ["Expand: 6x + 246 = x + 316", "Subtract x from both sides: 5x + 246 = 316", "Subtract 246 from both sides: 5x = 70", "Divide both sides by 5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 41) = x + 316", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 41, \"d\": 316, \"x\": 14}", "seed": "2268903124148852568", "semantic_fingerprint": "sha256:802860f4f007b58ff0720c5a5319a2e62cbe23d6ffe376b7cb4005f02d114149", "generator_version": "3.0"}
{"id": "v3_val_00002779", "prompt": "Solve the equation -4(x + 5) = -5x - 12 for x.", "solution_steps": ["Expand: -4x - 20 = -5x - 12", "Add 5x to both sides: x - 20 = -12", "Add 20 to both sides: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 5) = -5x - 12", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": -5, \"e\": -12, \"x\": 8}", "seed": "6328692408803542605", "semantic_fingerprint": "sha256:a613bd47c924c0ef865435d52c316030af58041686d92fda519b014258cbb843", "generator_version": "3.0"}
{"id": "v3_val_00002780", "prompt": "What value of x satisfies 4(x - 4) - 712 = -7x - 673?", "solution_steps": ["Expand: 4x - 16 - 712 = -7x - 673", "Combine constants: 4x - 728 = -7x - 673", "Add 7x to both sides: 11x - 728 = -673", "Add 728 to both sides: 11x = 55", "Divide both sides by 11: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 4) - 712 = -7x - 673", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 712, \"d\": -7, \"f\": -673, \"x\": 5}", "seed": "5667857627957036533", "semantic_fingerprint": "sha256:cd55d47181bd350e91c9307f8f4db971e15fc70af3450e324c96d66aab89ff46", "generator_version": "3.0"}
{"id": "v3_val_00002781", "prompt": "Evaluate: -7 - 0 - (-7) * (-38)", "solution_steps": ["Subtract: -7 - 0 = -7", "Multiply: -7 * (-38) = 266", "Subtract: -7 - 266 = -273"], "final_answer": "-273", "answer_type": "integer", "kind": "expression", "math_text": "-7 - 0 - (-7) * (-38)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 0, \"c\": -7, \"d\": -38}", "seed": "5853624813546113020", "semantic_fingerprint": "sha256:c248fb2065254ce88084bac95c02a73b3a6f0f40fb0f6eb0e06524642cc84915", "generator_version": "3.0"}
{"id": "v3_val_00002782", "prompt": "Evaluate: 9 / (-4 / (-954 + 30))", "solution_steps": ["Add: -954 + 30 = -924", "Divide: -4 / (-924) = 1/231", "Divide: 9 / (1/231) = 2079"], "final_answer": "2079", "answer_type": "integer", "kind": "expression", "math_text": "9 / (-4 / (-954 + 30))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -4, \"c\": -954, \"d\": 30}", "seed": "263903847915775403", "semantic_fingerprint": "sha256:b0cb5497d8aeb6c6411ab453de7ec8f6a03fc13b86361dd39265637bc0574fae", "generator_version": "3.0"}
{"id": "v3_val_00002783", "prompt": "Solve the equation x = -11(x + 327) + 222 for x.", "solution_steps": ["Expand: x = -11x - 3597 + 222", "Combine constants: x = -11x - 3375", "Add 11x to both sides: 12x = -3375", "Divide both sides by 12: x = -1125/4"], "final_answer": "-1125/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -11(x + 327) + 222", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 327, \"c\": 222}", "seed": "14042496253780320196", "semantic_fingerprint": "sha256:fc2184d2490ff3171097878e93f299eacd8a1a662368a52e0442f1bcadf4ef85", "generator_version": "3.0"}
{"id": "v3_val_00002784", "prompt": "Compute: (-52 * 42 + 31) / 7", "solution_steps": ["Multiply: -52 * 42 = -2184", "Add: -2184 + 31 = -2153", "Divide: -2153 / 7 = -2153/7"], "final_answer": "-2153/7", "answer_type": "rational", "kind": "expression", "math_text": "(-52 * 42 + 31) / 7", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 42, \"c\": 31, \"d\": 7}", "seed": "789964245926323562", "semantic_fingerprint": "sha256:f2cfed6a113231eb3d1a89ad7a0d6c1ef1d51c7d450a79de8a9aa4d1ee3a53d0", "generator_version": "3.0"}
{"id": "v3_val_00002785", "prompt": "What value of x satisfies -7(x - 80) = 504?", "solution_steps": ["Expand: -7x + 560 = 504", "Subtract 560 from both sides: -7x = -56", "Divide both sides by -7: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 80) = 504", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 80, \"d\": 504, \"x\": 8}", "seed": "12008215481861253983", "semantic_fingerprint": "sha256:9456c7f3ca3f313c8c3bff90a059a23364a6e808b2df07be520850200990c364", "generator_version": "3.0"}
{"id": "v3_val_00002786", "prompt": "What is -3 * (-45 * (-1) - (-39 + (-6)))?", "solution_steps": ["Multiply: -45 * (-1) = 45", "Add: -39 + (-6) = -45", "Subtract: 45 - (-45) = 90", "Multiply: -3 * 90 = -270"], "final_answer": "-270", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-45 * (-1) - (-39 + (-6)))", "variable": null, "family": "expression_4op", "shape": "(* n (- (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -45, \"c\": -1, \"d\": -39, \"e\": -6}", "seed": "8732824252372019391", "semantic_fingerprint": "sha256:b9e889b29bac46823076283ffb79203f6d37fcf0050990c0e0b34e7738a6a610", "generator_version": "3.0"}
{"id": "v3_val_00002787", "prompt": "What value of x satisfies x - 741 = -10(x + 51) + 6?", "solution_steps": ["Expand: x - 741 = -10x - 510 + 6", "Combine constants: x - 741 = -10x - 504", "Add 10x to both sides: 11x - 741 = -504", "Add 741 to both sides: 11x = 237", "Divide both sides by 11: x = 237/11"], "final_answer": "237/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 741 = -10(x + 51) + 6", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 741, \"b\": -10, \"c\": 51, \"d\": 6}", "seed": "7207366496124748929", "semantic_fingerprint": "sha256:cee8cbb4965da54bc3c8c51bb95ad266e5628b9e8a2d845147c3599dec6ed0a7", "generator_version": "3.0"}
{"id": "v3_val_00002788", "prompt": "Calculate: 1 + (0 + (-3)) * (-9) * (-9 * 11)", "solution_steps": ["Add: 0 + (-3) = -3", "Multiply: -3 * (-9) = 27", "Multiply: -9 * 11 = -99", "Multiply: 27 * (-99) = -2673", "Add: 1 + (-2673) = -2672"], "final_answer": "-2672", "answer_type": "integer", "kind": "expression", "math_text": "1 + (0 + (-3)) * (-9) * (-9 * 11)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (* (+ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": -3, \"d\": -9, \"e\": -9, \"f\": 11}", "seed": "7312647285833933918", "semantic_fingerprint": "sha256:c7dd094133821271397a8112571bb53e169830a991915b59b7a6098182b0ab10", "generator_version": "3.0"}
{"id": "v3_val_00002789", "prompt": "Solve for x: x - 6 = 2(x + 9) - 41", "solution_steps": ["Expand: x - 6 = 2x + 18 - 41", "Combine constants: x - 6 = 2x - 23", "Subtract 2x from both sides: -x - 6 = -23", "Add 6 to both sides: -x = -17", "Divide both sides by -1: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 2(x + 9) - 41", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 9, \"e\": -41, \"x\": 17}", "seed": "7597085665893960531", "semantic_fingerprint": "sha256:4d8fae219b1cc722001d7d56c868cadb79b596dbc8868350144ed61af09572cc", "generator_version": "3.0"}
{"id": "v3_val_00002790", "prompt": "What value of x satisfies 2(x - 78) + 7 = 3x?", "solution_steps": ["Expand: 2x - 156 + 7 = 3x", "Combine constants: 2x - 149 = 3x", "Subtract 3x from both sides: -x - 149 = 0", "Add 149 to both sides: -x = 149", "Divide both sides by -1: x = -149"], "final_answer": "-149", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 78) + 7 = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 78, \"c\": 7, \"d\": 3}", "seed": "16802289742123516090", "semantic_fingerprint": "sha256:576fc237ffb285857f37651378f48c21a6e40c7e657786bd9f626c1423a4c91c", "generator_version": "3.0"}
{"id": "v3_val_00002791", "prompt": "Calculate: 9 - (-8 - 215) / 7", "solution_steps": ["Subtract: -8 - 215 = -223", "Divide: -223 / 7 = -223/7", "Subtract: 9 - (-223/7) = 286/7"], "final_answer": "286/7", "answer_type": "rational", "kind": "expression", "math_text": "9 - (-8 - 215) / 7", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": 215, \"d\": 7}", "seed": "16992903219601977625", "semantic_fingerprint": "sha256:316eb4e83b392f9086b018611b738e48d74d43f7c07971a614954ffbb0df1b99", "generator_version": "3.0"}
{"id": "v3_val_00002792", "prompt": "Calculate: 7 * (-16) / (-26)", "solution_steps": ["Multiply: 7 * (-16) = -112", "Divide: -112 / (-26) = 56/13"], "final_answer": "56/13", "answer_type": "rational", "kind": "expression", "math_text": "7 * (-16) / (-26)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -16, \"c\": -26}", "seed": "15629659694472409931", "semantic_fingerprint": "sha256:930501af8c3157d18ddaabb8ad5c8db9f5a87b10f0f79e5944584d0967f2f3cc", "generator_version": "3.0"}
{"id": "v3_val_00002793", "prompt": "Compute: 293 * (98 / 42) + (9 - 2) / 35", "solution_steps": ["Divide: 98 / 42 = 7/3", "Multiply: 293 * (7/3) = 2051/3", "Subtract: 9 - 2 = 7", "Divide: 7 / 35 = 1/5", "Add: 2051/3 + 1/5 = 10258/15"], "final_answer": "10258/15", "answer_type": "rational", "kind": "expression", "math_text": "293 * (98 / 42) + (9 - 2) / 35", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 293, \"b\": 98, \"c\": 42, \"d\": 9, \"e\": 2, \"f\": 35}", "seed": "9405760659627467453", "semantic_fingerprint": "sha256:afaad058ad13bb995cb54fdc1e70254c5a1d27e7ea919c8058013e126acdec74", "generator_version": "3.0"}
{"id": "v3_val_00002794", "prompt": "What is 859 * 39 / (-43) + (-1) * 2?", "solution_steps": ["Multiply: 859 * 39 = 33501", "Divide: 33501 / (-43) = -33501/43", "Multiply: -1 * 2 = -2", "Add: -33501/43 + (-2) = -33587/43"], "final_answer": "-33587/43", "answer_type": "rational", "kind": "expression", "math_text": "859 * 39 / (-43) + (-1) * 2", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 859, \"b\": 39, \"c\": -43, \"d\": -1, \"e\": 2}", "seed": "16105028290368967643", "semantic_fingerprint": "sha256:1ecbe9f2fe8f77482c70de96bac5498241464f9bc624ece99a9cce128f2ed935", "generator_version": "3.0"}
{"id": "v3_val_00002795", "prompt": "Calculate: 51 - 3 / (-1)", "solution_steps": ["Divide: 3 / (-1) = -3", "Subtract: 51 - (-3) = 54"], "final_answer": "54", "answer_type": "integer", "kind": "expression", "math_text": "51 - 3 / (-1)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 3, \"c\": -1}", "seed": "3237896515509548047", "semantic_fingerprint": "sha256:c81eb7192a505cb0feb6be4077f6cb5ed60f28a5be9b77d80c8a0bde835c47ee", "generator_version": "3.0"}
{"id": "v3_val_00002796", "prompt": "Solve for x: 9x + 8 = x - 64", "solution_steps": ["Subtract x from both sides: 8x + 8 = -64", "Subtract 8 from both sides: 8x = -72", "Divide both sides by 8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 8 = x - 64", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"d\": -64, \"x\": -9}", "seed": "6579164397821849261", "semantic_fingerprint": "sha256:f3053f32aa1f2b3ec560f5bb2001fff385ccfb885e88b136791534633e9d768e", "generator_version": "3.0"}
{"id": "v3_val_00002797", "prompt": "What is -1 + (-3 * 19 + 607)?", "solution_steps": ["Multiply: -3 * 19 = -57", "Add: -57 + 607 = 550", "Add: -1 + 550 = 549"], "final_answer": "549", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-3 * 19 + 607)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -3, \"c\": 19, \"d\": 607}", "seed": "18189069277376953454", "semantic_fingerprint": "sha256:6cac56dd3ba34b307f23ae8d1b918c33d33f1e106f788bb2eb0733efbf650bc3", "generator_version": "3.0"}
{"id": "v3_val_00002798", "prompt": "Evaluate: -231 - (33 - 86 / 218)", "solution_steps": ["Divide: 86 / 218 = 43/109", "Subtract: 33 - 43/109 = 3554/109", "Subtract: -231 - 3554/109 = -28733/109"], "final_answer": "-28733/109", "answer_type": "rational", "kind": "expression", "math_text": "-231 - (33 - 86 / 218)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -231, \"b\": 33, \"c\": 86, \"d\": 218}", "seed": "17301318235694546056", "semantic_fingerprint": "sha256:dce0289b91f284223b3c5f39e73bb8b5d1d9f272efd6696219350653ce9aecf0", "generator_version": "3.0"}
{"id": "v3_val_00002799", "prompt": "Evaluate: -859 * (-3 / 43)", "solution_steps": ["Divide: -3 / 43 = -3/43", "Multiply: -859 * (-3/43) = 2577/43"], "final_answer": "2577/43", "answer_type": "rational", "kind": "expression", "math_text": "-859 * (-3 / 43)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -859, \"b\": -3, \"c\": 43}", "seed": "11512059127224157357", "semantic_fingerprint": "sha256:d9b999696ab3cc78b721215f499fcbfcb847faa847c2e904b1deeb2b883e557c", "generator_version": "3.0"}
{"id": "v3_val_00002800", "prompt": "Calculate: -874 * (71 + (-19) + 49)", "solution_steps": ["Add: 71 + (-19) = 52", "Add: 52 + 49 = 101", "Multiply: -874 * 101 = -88274"], "final_answer": "-88274", "answer_type": "integer", "kind": "expression", "math_text": "-874 * (71 + (-19) + 49)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -874, \"b\": 71, \"c\": -19, \"d\": 49}", "seed": "8026611548288966343", "semantic_fingerprint": "sha256:8b27ef5e707bcfb3a06b4678c5af61307961044882f4425e807b0b9e387ebebf", "generator_version": "3.0"}
{"id": "v3_val_00002801", "prompt": "Evaluate: 7 / (-74) * (-9)", "solution_steps": ["Divide: 7 / (-74) = -7/74", "Multiply: (-7/74) * (-9) = 63/74"], "final_answer": "63/74", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-74) * (-9)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -74, \"c\": -9}", "seed": "7507425856481401637", "semantic_fingerprint": "sha256:9fb9957b17dc841ea889bca48108a82f53255d56e3e97bfc7b4d1818e7a607bb", "generator_version": "3.0"}
{"id": "v3_val_00002802", "prompt": "Compute: 698 - 24 * 2 + 0", "solution_steps": ["Multiply: 24 * 2 = 48", "Subtract: 698 - 48 = 650", "Add: 650 + 0 = 650"], "final_answer": "650", "answer_type": "integer", "kind": "expression", "math_text": "698 - 24 * 2 + 0", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 698, \"b\": 24, \"c\": 2, \"d\": 0}", "seed": "9217405083615141881", "semantic_fingerprint": "sha256:6347cd3466bba33e4b0cc3f0d237ca8c12a4cbee8cdc72be52dacd41a4595315", "generator_version": "3.0"}
{"id": "v3_val_00002803", "prompt": "Solve for x: 5(x + 3) - 2 = -52", "solution_steps": ["Expand: 5x + 15 - 2 = -52", "Combine constants: 5x + 13 = -52", "Subtract 13 from both sides: 5x = -65", "Divide both sides by 5: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 3) - 2 = -52", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 2, \"e\": -52, \"x\": -13}", "seed": "17206702246188045449", "semantic_fingerprint": "sha256:6a7d77c26f19cadca6568646b19a2f16fcbe770893031ed886698d99afecca36", "generator_version": "3.0"}
{"id": "v3_val_00002804", "prompt": "Evaluate: 56 - (-80) - 672", "solution_steps": ["Subtract: 56 - (-80) = 136", "Subtract: 136 - 672 = -536"], "final_answer": "-536", "answer_type": "integer", "kind": "expression", "math_text": "56 - (-80) - 672", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -80, \"c\": 672}", "seed": "18287510428598164030", "semantic_fingerprint": "sha256:31419b72e7a176a3b0fcc8c59b63fc4ae32c318cb706b588a9ec2d907053a483", "generator_version": "3.0"}
{"id": "v3_val_00002805", "prompt": "Calculate: 57 / (5 - (-742)) * (-785 * (-6))", "solution_steps": ["Subtract: 5 - (-742) = 747", "Divide: 57 / 747 = 19/249", "Multiply: -785 * (-6) = 4710", "Multiply: (19/249) * 4710 = 29830/83"], "final_answer": "29830/83", "answer_type": "rational", "kind": "expression", "math_text": "57 / (5 - (-742)) * (-785 * (-6))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 5, \"c\": -742, \"d\": -785, \"e\": -6}", "seed": "1490307047769729823", "semantic_fingerprint": "sha256:2a8aad97e14a0fd033825dc28438f65e1fcb5fe7dd5fb0894f29b885a7c42756", "generator_version": "3.0"}
{"id": "v3_val_00002806", "prompt": "Find x: x - 8 = -3(x + 4) + 84", "solution_steps": ["Expand: x - 8 = -3x - 12 + 84", "Combine constants: x - 8 = -3x + 72", "Add 3x to both sides: 4x - 8 = 72", "Add 8 to both sides: 4x = 80", "Divide both sides by 4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = -3(x + 4) + 84", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -3, \"c\": 4, \"d\": 84}", "seed": "3679668098761231476", "semantic_fingerprint": "sha256:c5733f1e79c8831dc758d0d3b7f4a845bbff64d500ec6e95b9e2839ff8cb3213", "generator_version": "3.0"}
{"id": "v3_val_00002807", "prompt": "Solve the equation 9(x - 70) + 281 = 4 for x.", "solution_steps": ["Expand: 9x - 630 + 281 = 4", "Combine constants: 9x - 349 = 4", "Add 349 to both sides: 9x = 353", "Divide both sides by 9: x = 353/9"], "final_answer": "353/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 70) + 281 = 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 70, \"c\": 281, \"d\": 4}", "seed": "13991220568324867262", "semantic_fingerprint": "sha256:a96c9ee313b9e478b15c715fcc58686517c7dae000f99194f604642763813c07", "generator_version": "3.0"}
{"id": "v3_val_00002808", "prompt": "Solve for x: x - 12 = 9(x + 9) + 1", "solution_steps": ["Expand: x - 12 = 9x + 81 + 1", "Combine constants: x - 12 = 9x + 82", "Subtract 9x from both sides: -8x - 12 = 82", "Add 12 to both sides: -8x = 94", "Divide both sides by -8: x = -47/4"], "final_answer": "-47/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 12 = 9(x + 9) + 1", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 9, \"d\": 1}", "seed": "9585984267749051320", "semantic_fingerprint": "sha256:b1c9a21ac2f92a1e3973c20a8796b0fb2623d0bc7da010ebd2ef13a00f3430ab", "generator_version": "3.0"}
{"id": "v3_val_00002809", "prompt": "Find x: -3x + 485 = 10(x + 68)", "solution_steps": ["Expand: -3x + 485 = 10x + 680", "Subtract 10x from both sides: -13x + 485 = 680", "Subtract 485 from both sides: -13x = 195", "Divide both sides by -13: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 485 = 10(x + 68)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 10, \"c\": 68, \"e\": 485, \"x\": -15}", "seed": "8293564257141441709", "semantic_fingerprint": "sha256:b96ca46acb978ee1afdbb56e6ba0540dc07a70d41b9d1cc345e4457eb91870df", "generator_version": "3.0"}
{"id": "v3_val_00002810", "prompt": "Evaluate: -3 - 8 - (-582)", "solution_steps": ["Subtract: -3 - 8 = -11", "Subtract: -11 - (-582) = 571"], "final_answer": "571", "answer_type": "integer", "kind": "expression", "math_text": "-3 - 8 - (-582)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": -582}", "seed": "14430988998378937498", "semantic_fingerprint": "sha256:31a8b881e1343fecc2caa5492ad0eee05266db189a44fc7adc584f119478c5f7", "generator_version": "3.0"}
{"id": "v3_val_00002811", "prompt": "Compute: -72 * (-4 + 77) + (-50)", "solution_steps": ["Add: -4 + 77 = 73", "Multiply: -72 * 73 = -5256", "Add: -5256 + (-50) = -5306"], "final_answer": "-5306", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (-4 + 77) + (-50)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -4, \"c\": 77, \"d\": -50}", "seed": "13385139589817959972", "semantic_fingerprint": "sha256:ceb6234816bb5aa9f98c3699f52e5d85a8722a23dc10af5e96d7de95ef2cebdb", "generator_version": "3.0"}
{"id": "v3_val_00002812", "prompt": "Evaluate: 651 + 83", "solution_steps": ["Add: 651 + 83 = 734"], "final_answer": "734", "answer_type": "integer", "kind": "expression", "math_text": "651 + 83", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 651, \"b\": 83}", "seed": "4416918189297402885", "semantic_fingerprint": "sha256:dbe93fd65c3794e46509e31345e9d8c6193a2646d3386b730f17b815595e33a4", "generator_version": "3.0"}
{"id": "v3_val_00002813", "prompt": "Evaluate: -46 * (-3) / 98", "solution_steps": ["Multiply: -46 * (-3) = 138", "Divide: 138 / 98 = 69/49"], "final_answer": "69/49", "answer_type": "rational", "kind": "expression", "math_text": "-46 * (-3) / 98", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -3, \"c\": 98}", "seed": "9740895481819396587", "semantic_fingerprint": "sha256:4590968279fa87905dd337d93cef01b22b6899fa1b58c84005e7fe2e1f621ca5", "generator_version": "3.0"}
{"id": "v3_val_00002814", "prompt": "Evaluate: -776 - 63 + (-72) - (8 - 0)", "solution_steps": ["Subtract: -776 - 63 = -839", "Add: -839 + (-72) = -911", "Subtract: 8 - 0 = 8", "Subtract: -911 - 8 = -919"], "final_answer": "-919", "answer_type": "integer", "kind": "expression", "math_text": "-776 - 63 + (-72) - (8 - 0)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -776, \"b\": 63, \"c\": -72, \"d\": 8, \"e\": 0}", "seed": "5804392834566064221", "semantic_fingerprint": "sha256:95701748932a031382298ba795494e8a621633cc52b4f39898b2b073dbb2a1e2", "generator_version": "3.0"}
{"id": "v3_val_00002815", "prompt": "What is 969 * 92 / 85 * (-3)?", "solution_steps": ["Multiply: 969 * 92 = 89148", "Divide: 89148 / 85 = 5244/5", "Multiply: (5244/5) * (-3) = -15732/5"], "final_answer": "-15732/5", "answer_type": "rational", "kind": "expression", "math_text": "969 * 92 / 85 * (-3)", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 969, \"b\": 92, \"c\": 85, \"d\": -3}", "seed": "10033715111661556019", "semantic_fingerprint": "sha256:1df479104680a29ccc6350729b7df968fe594e1e1a89b618880757eda68c155f", "generator_version": "3.0"}
{"id": "v3_val_00002816", "prompt": "What is 14 + (-72)?", "solution_steps": ["Add: 14 + (-72) = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "14 + (-72)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -72}", "seed": "17186075504681932963", "semantic_fingerprint": "sha256:ad832a80de9fdfff351bc59a21e36207e154aac9e4838817d95eab9e0402595b", "generator_version": "3.0"}
{"id": "v3_val_00002817", "prompt": "What is -10 - 6 - 45?", "solution_steps": ["Subtract: -10 - 6 = -16", "Subtract: -16 - 45 = -61"], "final_answer": "-61", "answer_type": "integer", "kind": "expression", "math_text": "-10 - 6 - 45", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6, \"c\": 45}", "seed": "14851446664426633809", "semantic_fingerprint": "sha256:7b2a122283ec7543bfa025af50ecd0f9c1a76c7ab45f73110dc152890ae4a43f", "generator_version": "3.0"}
{"id": "v3_val_00002818", "prompt": "Calculate: -96 - 9 * (-72 + 23)", "solution_steps": ["Add: -72 + 23 = -49", "Multiply: 9 * (-49) = -441", "Subtract: -96 - (-441) = 345"], "final_answer": "345", "answer_type": "integer", "kind": "expression", "math_text": "-96 - 9 * (-72 + 23)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 9, \"c\": -72, \"d\": 23}", "seed": "1523165107921587294", "semantic_fingerprint": "sha256:5364e3e275c3c4f3674f6ae93ea9b0b1bc59fd0452d489e8b9c286c2dabbc7f0", "generator_version": "3.0"}
{"id": "v3_val_00002819", "prompt": "Calculate: (64 + (-476 - 75) - (73 + (-59))) / 651", "solution_steps": ["Subtract: -476 - 75 = -551", "Add: 64 + (-551) = -487", "Add: 73 + (-59) = 14", "Subtract: -487 - 14 = -501", "Divide: -501 / 651 = -167/217"], "final_answer": "-167/217", "answer_type": "rational", "kind": "expression", "math_text": "(64 + (-476 - 75) - (73 + (-59))) / 651", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -476, \"c\": 75, \"d\": 73, \"e\": -59, \"f\": 651}", "seed": "5424332424236848607", "semantic_fingerprint": "sha256:84fa9a68eaf6e05b63a7998a4110c8d9d616a53969de9b04c4fe4ee9869816ed", "generator_version": "3.0"}
{"id": "v3_val_00002820", "prompt": "Calculate: 753 + 63 - (-93) * 14", "solution_steps": ["Add: 753 + 63 = 816", "Multiply: -93 * 14 = -1302", "Subtract: 816 - (-1302) = 2118"], "final_answer": "2118", "answer_type": "integer", "kind": "expression", "math_text": "753 + 63 - (-93) * 14", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 753, \"b\": 63, \"c\": -93, \"d\": 14}", "seed": "11869136861062008048", "semantic_fingerprint": "sha256:49c03281169883edecc153dc523f61c2b61f465e8665017d61070c6bfd4ef915", "generator_version": "3.0"}
{"id": "v3_val_00002821", "prompt": "Solve for x: x - 3 = -6(x - 5) - 19", "solution_steps": ["Expand: x - 3 = -6x + 30 - 19", "Combine constants: x - 3 = -6x + 11", "Add 6x to both sides: 7x - 3 = 11", "Add 3 to both sides: 7x = 14", "Divide both sides by 7: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = -6(x - 5) - 19", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -6, \"c\": 5, \"e\": -19, \"x\": 2}", "seed": "7241677734934040464", "semantic_fingerprint": "sha256:b91362b1ccf0ff130e820ebad58ec90f39e498966b3cc71d9d6710d0022b7d67", "generator_version": "3.0"}
{"id": "v3_val_00002822", "prompt": "Compute: -236 * 42 + (-86) * (60 + (-675))", "solution_steps": ["Multiply: -236 * 42 = -9912", "Add: 60 + (-675) = -615", "Multiply: -86 * (-615) = 52890", "Add: -9912 + 52890 = 42978"], "final_answer": "42978", "answer_type": "integer", "kind": "expression", "math_text": "-236 * 42 + (-86) * (60 + (-675))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -236, \"b\": 42, \"c\": -86, \"d\": 60, \"e\": -675}", "seed": "3443872991825418102", "semantic_fingerprint": "sha256:3069943728f08581089720f33951466bda8bf266c84377b9479d2b7ab80d28e5", "generator_version": "3.0"}
{"id": "v3_val_00002823", "prompt": "Solve for x: 12(x + 9) - 1 = 10(x - 90) - 946", "solution_steps": ["Expand: 12x + 108 - 1 = 10(x - 90) - 946", "Expand: 12x + 108 - 1 = 10x - 900 - 946", "Combine constants: 12x + 107 = 10x - 900 - 946", "Combine constants: 12x + 107 = 10x - 1846", "Subtract 10x from both sides: 2x + 107 = -1846", "Subtract 107 from both sides: 2x = -1953", "Divide both sides by 2: x = -1953/2"], "final_answer": "-1953/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 9) - 1 = 10(x - 90) - 946", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 1, \"d\": 10, \"e\": 90, \"f\": 946}", "seed": "15488983512019692826", "semantic_fingerprint": "sha256:64836d4ff31675b8e694fc2fc39e9c706b382a2813eb42dc6d4d2af3195617ac", "generator_version": "3.0"}
{"id": "v3_val_00002824", "prompt": "Calculate: -315 + (696 * (-9) + 54 + 3)", "solution_steps": ["Multiply: 696 * (-9) = -6264", "Add: -6264 + 54 = -6210", "Add: -6210 + 3 = -6207", "Add: -315 + (-6207) = -6522"], "final_answer": "-6522", "answer_type": "integer", "kind": "expression", "math_text": "-315 + (696 * (-9) + 54 + 3)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -315, \"b\": 696, \"c\": -9, \"d\": 54, \"e\": 3}", "seed": "15539817505845604124", "semantic_fingerprint": "sha256:21194884242b2563bedc1dda05be23605ca71096de2e94212a56c0a315c9687b", "generator_version": "3.0"}
{"id": "v3_val_00002825", "prompt": "Calculate: -41 * (-8) * (4 - (-7 - 0)) * 100", "solution_steps": ["Multiply: -41 * (-8) = 328", "Subtract: -7 - 0 = -7", "Subtract: 4 - (-7) = 11", "Multiply: 328 * 11 = 3608", "Multiply: 3608 * 100 = 360800"], "final_answer": "360800", "answer_type": "integer", "kind": "expression", "math_text": "-41 * (-8) * (4 - (-7 - 0)) * 100", "variable": null, "family": "expression_5op", "shape": "(* (* (* n n) (- n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -8, \"c\": 4, \"d\": -7, \"e\": 0, \"f\": 100}", "seed": "6892400340129377945", "semantic_fingerprint": "sha256:19d9a5211f1e8484f3776e0430408259bad2bdf6499cd3393693126991de9bdf", "generator_version": "3.0"}
{"id": "v3_val_00002826", "prompt": "Solve for x: -9(x - 8) = 9(x - 5) + 885", "solution_steps": ["Expand: -9x + 72 = 9(x - 5) + 885", "Expand: -9x + 72 = 9x - 45 + 885", "Combine constants: -9x + 72 = 9x + 840", "Subtract 9x from both sides: -18x + 72 = 840", "Subtract 72 from both sides: -18x = 768", "Divide both sides by -18: x = -128/3"], "final_answer": "-128/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 8) = 9(x - 5) + 885", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 8, \"c\": 9, \"d\": 5, \"e\": 885}", "seed": "761504787386592466", "semantic_fingerprint": "sha256:5eac78ed51ae5220cfad2bbd7796fd83c057ad71bc586233a0e8503e1c994e01", "generator_version": "3.0"}
{"id": "v3_val_00002827", "prompt": "Solve the equation 10(x - 99) = -7(x - 886) for x.", "solution_steps": ["Expand: 10x - 990 = -7(x - 886)", "Expand: 10x - 990 = -7x + 6202", "Add 7x to both sides: 17x - 990 = 6202", "Add 990 to both sides: 17x = 7192", "Divide both sides by 17: x = 7192/17"], "final_answer": "7192/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 99) = -7(x - 886)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 99, \"c\": -7, \"d\": 886}", "seed": "8387247326556325219", "semantic_fingerprint": "sha256:c037dddcf628d59e1b6371dfb46f5d8787e65cf0d37837fda6b16832f3f2b331", "generator_version": "3.0"}
{"id": "v3_val_00002828", "prompt": "Calculate: 40 * (-5 + 693)", "solution_steps": ["Add: -5 + 693 = 688", "Multiply: 40 * 688 = 27520"], "final_answer": "27520", "answer_type": "integer", "kind": "expression", "math_text": "40 * (-5 + 693)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -5, \"c\": 693}", "seed": "16536981489271077626", "semantic_fingerprint": "sha256:9ce5c47db46119f1fc67e5b76aaafb3a53f369758269fcafa8109fc8bb3dd942", "generator_version": "3.0"}
{"id": "v3_val_00002829", "prompt": "Compute: -582 * (-1) * (-11) + (-26)", "solution_steps": ["Multiply: -582 * (-1) = 582", "Multiply: 582 * (-11) = -6402", "Add: -6402 + (-26) = -6428"], "final_answer": "-6428", "answer_type": "integer", "kind": "expression", "math_text": "-582 * (-1) * (-11) + (-26)", "variable": null, "family": "expression_3op", "shape": "(+ (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -582, \"b\": -1, \"c\": -11, \"d\": -26}", "seed": "14158590036201852471", "semantic_fingerprint": "sha256:739971a57e4cec7a800ffdf4a7a33655c0846fe1900a154b92aa00eda25cb8d4", "generator_version": "3.0"}
{"id": "v3_val_00002830", "prompt": "Solve for x: -4(x + 29) - 6 = 10(x + 51) - 422", "solution_steps": ["Expand: -4x - 116 - 6 = 10(x + 51) - 422", "Expand: -4x - 116 - 6 = 10x + 510 - 422", "Combine constants: -4x - 122 = 10x + 510 - 422", "Combine constants: -4x - 122 = 10x + 88", "Subtract 10x from both sides: -14x - 122 = 88", "Add 122 to both sides: -14x = 210", "Divide both sides by -14: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 29) - 6 = 10(x + 51) - 422", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 29, \"c\": 6, \"d\": 10, \"e\": 51, \"g\": -422, \"x\": -15}", "seed": "10646991507021771082", "semantic_fingerprint": "sha256:194c575ec9fec34261f1cab8fdfc0a7a48a89814fce054d527e2900b5e4a5f00", "generator_version": "3.0"}
{"id": "v3_val_00002831", "prompt": "What is -233 * (-9) - (-537) / (-4)?", "solution_steps": ["Multiply: -233 * (-9) = 2097", "Divide: -537 / (-4) = 537/4", "Subtract: 2097 - 537/4 = 7851/4"], "final_answer": "7851/4", "answer_type": "rational", "kind": "expression", "math_text": "-233 * (-9) - (-537) / (-4)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -233, \"b\": -9, \"c\": -537, \"d\": -4}", "seed": "6025239456501134350", "semantic_fingerprint": "sha256:401c1dc926ab44f4af8ae8375b8a66b9893aa7bcb16f0a12a1534be67e0073f0", "generator_version": "3.0"}
{"id": "v3_val_00002832", "prompt": "Calculate: 3 * 29 / (-755 / (0 + (-22)))", "solution_steps": ["Multiply: 3 * 29 = 87", "Add: 0 + (-22) = -22", "Divide: -755 / (-22) = 755/22", "Divide: 87 / (755/22) = 1914/755"], "final_answer": "1914/755", "answer_type": "rational", "kind": "expression", "math_text": "3 * 29 / (-755 / (0 + (-22)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 29, \"c\": -755, \"d\": 0, \"e\": -22}", "seed": "16311704904634541948", "semantic_fingerprint": "sha256:9e6e5315d56142caf6aa87b5341a9bd29ca2ce3f653bafa6e2f1f487a7defc4e", "generator_version": "3.0"}
{"id": "v3_val_00002833", "prompt": "Solve for x: x - 89 = 12(x + 2)", "solution_steps": ["Expand: x - 89 = 12x + 24", "Subtract 12x from both sides: -11x - 89 = 24", "Add 89 to both sides: -11x = 113", "Divide both sides by -11: x = -113/11"], "final_answer": "-113/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 89 = 12(x + 2)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 12, \"c\": 2}", "seed": "11462405937661702227", "semantic_fingerprint": "sha256:d0894ab4e1a787082e498bd2f8b52869f4abade90bb5164cf1ce15e27876937d", "generator_version": "3.0"}
{"id": "v3_val_00002834", "prompt": "Solve for x: x - 91 = 8(x + 34) - 223", "solution_steps": ["Expand: x - 91 = 8x + 272 - 223", "Combine constants: x - 91 = 8x + 49", "Subtract 8x from both sides: -7x - 91 = 49", "Add 91 to both sides: -7x = 140", "Divide both sides by -7: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 91 = 8(x + 34) - 223", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 8, \"c\": 34, \"e\": -223, \"x\": -20}", "seed": "7685584689778317530", "semantic_fingerprint": "sha256:eb49c2db4fbd47673324fb96387e0852e23c5bc78bf221926b1240500e5b7a65", "generator_version": "3.0"}
{"id": "v3_val_00002835", "prompt": "Calculate: (92 + 7) / 77", "solution_steps": ["Add: 92 + 7 = 99", "Divide: 99 / 77 = 9/7"], "final_answer": "9/7", "answer_type": "rational", "kind": "expression", "math_text": "(92 + 7) / 77", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 7, \"c\": 77}", "seed": "3399991411969287478", "semantic_fingerprint": "sha256:e7af51bf300e97db50cdbe4e3b11b3825ed4b12ee2655c17115df986fa77245d", "generator_version": "3.0"}
{"id": "v3_val_00002836", "prompt": "Solve the equation x + 152 = 9x for x.", "solution_steps": ["Subtract 9x from both sides: -8x + 152 = 0", "Subtract 152 from both sides: -8x = -152", "Divide both sides by -8: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 152 = 9x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 152, \"x\": 19}", "seed": "12536087562984653748", "semantic_fingerprint": "sha256:7a3f63152f7ff62af99ad78b9a4e683397abe861217dddae8851279b989121e6", "generator_version": "3.0"}
{"id": "v3_val_00002837", "prompt": "Compute: -12 - 0 * (-324 * (-1) - 5)", "solution_steps": ["Multiply: -324 * (-1) = 324", "Subtract: 324 - 5 = 319", "Multiply: 0 * 319 = 0", "Subtract: -12 - 0 = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "-12 - 0 * (-324 * (-1) - 5)", "variable": null, "family": "expression_4op", "shape": "(- n (* n (- (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 0, \"c\": -324, \"d\": -1, \"e\": 5}", "seed": "8442324508974479081", "semantic_fingerprint": "sha256:1d74ce0d7629f9b5d203ced570f3b6d8d54f66b79ad33770eaf6a91d8f039e30", "generator_version": "3.0"}
{"id": "v3_val_00002838", "prompt": "Evaluate: -2 / 76 / 8", "solution_steps": ["Divide: -2 / 76 = -1/38", "Divide: (-1/38) / 8 = -1/304"], "final_answer": "-1/304", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 76 / 8", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 76, \"c\": 8}", "seed": "15234849389393432165", "semantic_fingerprint": "sha256:582094223006f72c0ab3c27e219e0eef783f9bbc6226b9381679be6778d8939c", "generator_version": "3.0"}
{"id": "v3_val_00002839", "prompt": "Evaluate: 9 + 77 - (-816) * 1", "solution_steps": ["Add: 9 + 77 = 86", "Multiply: -816 * 1 = -816", "Subtract: 86 - (-816) = 902"], "final_answer": "902", "answer_type": "integer", "kind": "expression", "math_text": "9 + 77 - (-816) * 1", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 77, \"c\": -816, \"d\": 1}", "seed": "15511719714431516154", "semantic_fingerprint": "sha256:24784f7fa6e88f254951d96d27dc892bb1bdb2891c02ebd0f25f7e7c881fc897", "generator_version": "3.0"}
{"id": "v3_val_00002840", "prompt": "Evaluate: 7 / 56", "solution_steps": ["Divide: 7 / 56 = 1/8"], "final_answer": "1/8", "answer_type": "rational", "kind": "expression", "math_text": "7 / 56", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 56}", "seed": "15138490156941506287", "semantic_fingerprint": "sha256:e8789642525a9a7c497e3bed34c2addda9bad42556859f94266214b75df7cd1a", "generator_version": "3.0"}
{"id": "v3_val_00002841", "prompt": "Solve for x: -5x = -7x + 878", "solution_steps": ["Add 7x to both sides: 2x = 878", "Divide both sides by 2: x = 439"], "final_answer": "439", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = -7x + 878", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -7, \"c\": 878}", "seed": "4036940934000583634", "semantic_fingerprint": "sha256:bee924e5d9bfd1f8a8bb57587df567ca06a503e85d36395b9ced67566c3f167b", "generator_version": "3.0"}
{"id": "v3_val_00002842", "prompt": "What value of x satisfies -9(x + 44) - 8 = 2x - 459?", "solution_steps": ["Expand: -9x - 396 - 8 = 2x - 459", "Combine constants: -9x - 404 = 2x - 459", "Subtract 2x from both sides: -11x - 404 = -459", "Add 404 to both sides: -11x = -55", "Divide both sides by -11: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 44) - 8 = 2x - 459", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 44, \"c\": 8, \"d\": 2, \"f\": -459, \"x\": 5}", "seed": "4026255812375823503", "semantic_fingerprint": "sha256:4fc09d83e350493b38a75a245c38ed066bb446aec0d470e80a936eb411d4a639", "generator_version": "3.0"}
{"id": "v3_val_00002843", "prompt": "Compute: -2 / (-808 / (-485) - 7) + 0", "solution_steps": ["Divide: -808 / (-485) = 808/485", "Subtract: 808/485 - 7 = -2587/485", "Divide: -2 / (-2587/485) = 970/2587", "Add: 970/2587 + 0 = 970/2587"], "final_answer": "970/2587", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-808 / (-485) - 7) + 0", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -808, \"c\": -485, \"d\": 7, \"e\": 0}", "seed": "10798529773650955887", "semantic_fingerprint": "sha256:d49c05910f214a25781c3548ef8dbc1d7c2e01a2b448bdf2f64b2c58629e8a93", "generator_version": "3.0"}
{"id": "v3_val_00002844", "prompt": "Solve for x: x - 838 = 5x - 822", "solution_steps": ["Subtract 5x from both sides: -4x - 838 = -822", "Add 838 to both sides: -4x = 16", "Divide both sides by -4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 838 = 5x - 822", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 838, \"b\": 5, \"d\": -822, \"x\": -4}", "seed": "4448831313698464170", "semantic_fingerprint": "sha256:8d7bc772250c3f31dc3a4ac4fa4e0f3f5492dea143082c2438bb937f62cc1ca0", "generator_version": "3.0"}
{"id": "v3_val_00002845", "prompt": "What is 241 - (-2 + (-3) + (-87) / (-9))?", "solution_steps": ["Add: -2 + (-3) = -5", "Divide: -87 / (-9) = 29/3", "Add: -5 + 29/3 = 14/3", "Subtract: 241 - 14/3 = 709/3"], "final_answer": "709/3", "answer_type": "rational", "kind": "expression", "math_text": "241 - (-2 + (-3) + (-87) / (-9))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 241, \"b\": -2, \"c\": -3, \"d\": -87, \"e\": -9}", "seed": "66398485686247682", "semantic_fingerprint": "sha256:dca1627d96b3bf18ae0f8f7c4392444b898cbad4625847a7472e0e2980cdf5f1", "generator_version": "3.0"}
{"id": "v3_val_00002846", "prompt": "Compute: 6 - (-6) - 61 - 1", "solution_steps": ["Subtract: 6 - (-6) = 12", "Subtract: 12 - 61 = -49", "Subtract: -49 - 1 = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-6) - 61 - 1", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -6, \"c\": 61, \"d\": 1}", "seed": "4453235301268250903", "semantic_fingerprint": "sha256:4208a33c44a9d1ef6aae86ec4141eb98f9dfbcabb10210c18a539cc403d1576e", "generator_version": "3.0"}
{"id": "v3_val_00002847", "prompt": "What is 7 / (77 / 233) - (24 + 50 * 69)?", "solution_steps": ["Divide: 77 / 233 = 77/233", "Divide: 7 / (77/233) = 233/11", "Multiply: 50 * 69 = 3450", "Add: 24 + 3450 = 3474", "Subtract: 233/11 - 3474 = -37981/11"], "final_answer": "-37981/11", "answer_type": "rational", "kind": "expression", "math_text": "7 / (77 / 233) - (24 + 50 * 69)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 77, \"c\": 233, \"d\": 24, \"e\": 50, \"f\": 69}", "seed": "10214019632614016395", "semantic_fingerprint": "sha256:d6498e54e41022b1fc430b0849b49b02070a8c30a37502ab1b4c095617cf99db", "generator_version": "3.0"}
{"id": "v3_val_00002848", "prompt": "Calculate: (-191 - 285) * 2 / 530", "solution_steps": ["Subtract: -191 - 285 = -476", "Multiply: -476 * 2 = -952", "Divide: -952 / 530 = -476/265"], "final_answer": "-476/265", "answer_type": "rational", "kind": "expression", "math_text": "(-191 - 285) * 2 / 530", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -191, \"b\": 285, \"c\": 2, \"d\": 530}", "seed": "5746298157492911772", "semantic_fingerprint": "sha256:465a2fc73d1871b8af75b3aad257935606367979fc8637abd0aff240e7e7d840", "generator_version": "3.0"}
{"id": "v3_val_00002849", "prompt": "Solve the equation 9(x + 2) = 10(x - 1) for x.", "solution_steps": ["Expand: 9x + 18 = 10(x - 1)", "Expand: 9x + 18 = 10x - 10", "Subtract 10x from both sides: -x + 18 = -10", "Subtract 18 from both sides: -x = -28", "Divide both sides by -1: x = 28"], "final_answer": "28", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 2) = 10(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 10, \"d\": 1}", "seed": "6467495803035861321", "semantic_fingerprint": "sha256:f91c5f44b6522c4b97f6f68c0bf0ffccebcac8e70194de468a0181c7d19789de", "generator_version": "3.0"}
{"id": "v3_val_00002850", "prompt": "Compute: 393 - 0", "solution_steps": ["Subtract: 393 - 0 = 393"], "final_answer": "393", "answer_type": "integer", "kind": "expression", "math_text": "393 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 393, \"b\": 0}", "seed": "13153915894137973642", "semantic_fingerprint": "sha256:31c8a39b1429d0f69b2c6ba34fdf7c739601cbe51c917910866a9840a30fc1d3", "generator_version": "3.0"}
{"id": "v3_val_00002851", "prompt": "Compute: (-94 - (-33) - (-7)) / 31", "solution_steps": ["Subtract: -94 - (-33) = -61", "Subtract: -61 - (-7) = -54", "Divide: -54 / 31 = -54/31"], "final_answer": "-54/31", "answer_type": "rational", "kind": "expression", "math_text": "(-94 - (-33) - (-7)) / 31", "variable": null, "family": "expression_3op", "shape": "(/ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -33, \"c\": -7, \"d\": 31}", "seed": "10064161917715156208", "semantic_fingerprint": "sha256:624aa33bca5d288ec5e7dd17bc7b542f24dde66d6756c0151ab8e740deeca16c", "generator_version": "3.0"}
{"id": "v3_val_00002852", "prompt": "Find x: -8(x - 7) = 3x + 1", "solution_steps": ["Expand: -8x + 56 = 3x + 1", "Subtract 3x from both sides: -11x + 56 = 1", "Subtract 56 from both sides: -11x = -55", "Divide both sides by -11: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 7) = 3x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 7, \"c\": 3, \"e\": 1, \"x\": 5}", "seed": "14376838117356057186", "semantic_fingerprint": "sha256:233a3c601742c10ee2a88fed1129755825aa82d58222eace7e39dbaa8a49f55d", "generator_version": "3.0"}
{"id": "v3_val_00002853", "prompt": "What is -6 / (59 * 48) - 0 / (-89)?", "solution_steps": ["Multiply: 59 * 48 = 2832", "Divide: -6 / 2832 = -1/472", "Divide: 0 / (-89) = 0", "Subtract: -1/472 - 0 = -1/472"], "final_answer": "-1/472", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (59 * 48) - 0 / (-89)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 59, \"c\": 48, \"d\": 0, \"e\": -89}", "seed": "11715312243372646782", "semantic_fingerprint": "sha256:1d668d17b8d681268af33135d722b804b8848cab4e2df33f85a742d8e9e05542", "generator_version": "3.0"}
{"id": "v3_val_00002854", "prompt": "What value of x satisfies 5(x + 179) - 68 = 912?", "solution_steps": ["Expand: 5x + 895 - 68 = 912", "Combine constants: 5x + 827 = 912", "Subtract 827 from both sides: 5x = 85", "Divide both sides by 5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 179) - 68 = 912", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 179, \"c\": 68, \"e\": 912, \"x\": 17}", "seed": "13762474166162233906", "semantic_fingerprint": "sha256:59eff30367ee0432910dd39e1370fbad6465d2b9ba0237800f7d17126c67c249", "generator_version": "3.0"}
{"id": "v3_val_00002855", "prompt": "Calculate: 267 / 51 + (-1) * 54", "solution_steps": ["Divide: 267 / 51 = 89/17", "Multiply: -1 * 54 = -54", "Add: 89/17 + (-54) = -829/17"], "final_answer": "-829/17", "answer_type": "rational", "kind": "expression", "math_text": "267 / 51 + (-1) * 54", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 267, \"b\": 51, \"c\": -1, \"d\": 54}", "seed": "11296705806256308608", "semantic_fingerprint": "sha256:153adae158d84c2c108ef7942f3f6b3dbdc74756ddd6fbfff91e75d2cf47e7bb", "generator_version": "3.0"}
{"id": "v3_val_00002856", "prompt": "Compute: -976 + (-56)", "solution_steps": ["Add: -976 + (-56) = -1032"], "final_answer": "-1032", "answer_type": "integer", "kind": "expression", "math_text": "-976 + (-56)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -976, \"b\": -56}", "seed": "2153969306136640264", "semantic_fingerprint": "sha256:bfd94f6f77b5390ad8d376dcbb8aa4195d135026822137e99c23c470d93487ba", "generator_version": "3.0"}
{"id": "v3_val_00002857", "prompt": "What is -4 / 356?", "solution_steps": ["Divide: -4 / 356 = -1/89"], "final_answer": "-1/89", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 356", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 356}", "seed": "16807195643536788542", "semantic_fingerprint": "sha256:669f61c29d96d1fb0a28a8eeb219cd342faa47593151e3c10ef05dc93ed932bc", "generator_version": "3.0"}
{"id": "v3_val_00002858", "prompt": "Calculate: -4 / (-146)", "solution_steps": ["Divide: -4 / (-146) = 2/73"], "final_answer": "2/73", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-146)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -146}", "seed": "14420116374115503666", "semantic_fingerprint": "sha256:7422db07ace9f2eb708dc63fd5b3186c2fcc6fed5bbd65706a0ebac7f725cd0e", "generator_version": "3.0"}
{"id": "v3_val_00002859", "prompt": "Calculate: 0 / (-4) * 303 * (-972 - (-390))", "solution_steps": ["Divide: 0 / (-4) = 0", "Multiply: 0 * 303 = 0", "Subtract: -972 - (-390) = -582", "Multiply: 0 * (-582) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-4) * 303 * (-972 - (-390))", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": 303, \"d\": -972, \"e\": -390}", "seed": "18434340514628299781", "semantic_fingerprint": "sha256:a087efd0e97b36a516c46649904f246f0340d276b183c51ef23d213f01d90109", "generator_version": "3.0"}
{"id": "v3_val_00002860", "prompt": "Solve for x: -11(x - 12) + 4 = 8x", "solution_steps": ["Expand: -11x + 132 + 4 = 8x", "Combine constants: -11x + 136 = 8x", "Subtract 8x from both sides: -19x + 136 = 0", "Subtract 136 from both sides: -19x = -136", "Divide both sides by -19: x = 136/19"], "final_answer": "136/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 12) + 4 = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 12, \"c\": 4, \"d\": 8}", "seed": "9125958159361023324", "semantic_fingerprint": "sha256:8242af807953c55344bb6c0e41c8e421f278eb8912f9a3f6c3fcaf40c06870b6", "generator_version": "3.0"}
{"id": "v3_val_00002861", "prompt": "What value of x satisfies 2x - 471 = x?", "solution_steps": ["Subtract x from both sides: x - 471 = 0", "Add 471 to both sides: x = 471"], "final_answer": "471", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 471 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 471}", "seed": "16201249106361834114", "semantic_fingerprint": "sha256:bcacbc9d1572300fa3537445cd7f23fbdaec64c1aa00a886bd03112de4fe282b", "generator_version": "3.0"}
{"id": "v3_val_00002862", "prompt": "Compute: 4 / (-65) * 922", "solution_steps": ["Divide: 4 / (-65) = -4/65", "Multiply: (-4/65) * 922 = -3688/65"], "final_answer": "-3688/65", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-65) * 922", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -65, \"c\": 922}", "seed": "3654262504940037772", "semantic_fingerprint": "sha256:f28dc8dc26ef13ec7fc16cb37d002052b8fd39224612ae388a771229054501ea", "generator_version": "3.0"}
{"id": "v3_val_00002863", "prompt": "Calculate: -54 / 96 + (-6 + 883)", "solution_steps": ["Divide: -54 / 96 = -9/16", "Add: -6 + 883 = 877", "Add: -9/16 + 877 = 14023/16"], "final_answer": "14023/16", "answer_type": "rational", "kind": "expression", "math_text": "-54 / 96 + (-6 + 883)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 96, \"c\": -6, \"d\": 883}", "seed": "7667522977456089438", "semantic_fingerprint": "sha256:8a29b6da28c5a4598e0dff655a09583fe34be64f4d8447e59ae43ea83bc26191", "generator_version": "3.0"}
{"id": "v3_val_00002864", "prompt": "Compute: (-2 - 753) * (-588)", "solution_steps": ["Subtract: -2 - 753 = -755", "Multiply: -755 * (-588) = 443940"], "final_answer": "443940", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - 753) * (-588)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 753, \"c\": -588}", "seed": "148962118883137810", "semantic_fingerprint": "sha256:269e62ab0cb70158aef26c2710373d2437f6ff472456ddfd628942a8f33fd734", "generator_version": "3.0"}
{"id": "v3_val_00002865", "prompt": "Solve the equation 11(x + 6) + 5 = 12x + 45 for x.", "solution_steps": ["Expand: 11x + 66 + 5 = 12x + 45", "Combine constants: 11x + 71 = 12x + 45", "Subtract 12x from both sides: -x + 71 = 45", "Subtract 71 from both sides: -x = -26", "Divide both sides by -1: x = 26"], "final_answer": "26", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 6) + 5 = 12x + 45", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 5, \"d\": 12, \"e\": 45}", "seed": "18201434892456897518", "semantic_fingerprint": "sha256:9808aaedd637c7a7d1a2bcf707f41975510153732326af7d9b9e1719e9f9b169", "generator_version": "3.0"}
{"id": "v3_val_00002866", "prompt": "What value of x satisfies x = -3(x + 166) + 54?", "solution_steps": ["Expand: x = -3x - 498 + 54", "Combine constants: x = -3x - 444", "Add 3x to both sides: 4x = -444", "Divide both sides by 4: x = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -3(x + 166) + 54", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 166, \"c\": 54}", "seed": "8015277021008199939", "semantic_fingerprint": "sha256:08bc1e34fa1aa3f3cdb474b23adb5ef167c50ae4a3f3271e837c7f28383c77bd", "generator_version": "3.0"}
{"id": "v3_val_00002867", "prompt": "Compute: -4 - (-4 + (-198) - (11 - 95))", "solution_steps": ["Add: -4 + (-198) = -202", "Subtract: 11 - 95 = -84", "Subtract: -202 - (-84) = -118", "Subtract: -4 - (-118) = 114"], "final_answer": "114", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-4 + (-198) - (11 - 95))", "variable": null, "family": "expression_4op", "shape": "(- n (- (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -4, \"c\": -198, \"d\": 11, \"e\": 95}", "seed": "14344046600845859036", "semantic_fingerprint": "sha256:30aad074e96ca8a3c140a4b7c00469a7e11ffa8fa1b1e3a793b43571b7ee47a8", "generator_version": "3.0"}
{"id": "v3_val_00002868", "prompt": "What is -7 - (205 - (-86))?", "solution_steps": ["Subtract: 205 - (-86) = 291", "Subtract: -7 - 291 = -298"], "final_answer": "-298", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (205 - (-86))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 205, \"c\": -86}", "seed": "13141742820016616989", "semantic_fingerprint": "sha256:f0210be551299f8906e8f25cb27240098aa0916bb3de1c547468bd1fdc16109e", "generator_version": "3.0"}
{"id": "v3_val_00002869", "prompt": "Calculate: 908 - (-89 - 666 + (682 + (-6)))", "solution_steps": ["Subtract: -89 - 666 = -755", "Add: 682 + (-6) = 676", "Add: -755 + 676 = -79", "Subtract: 908 - (-79) = 987"], "final_answer": "987", "answer_type": "integer", "kind": "expression", "math_text": "908 - (-89 - 666 + (682 + (-6)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 908, \"b\": -89, \"c\": 666, \"d\": 682, \"e\": -6}", "seed": "17717879979092198707", "semantic_fingerprint": "sha256:0677f1d2825355c98a8324a0d17178961457c7ae9c6ed9884913a726c5fce7eb", "generator_version": "3.0"}
{"id": "v3_val_00002870", "prompt": "Compute: 81 * (-5 * 0) / (-242 / 9)", "solution_steps": ["Multiply: -5 * 0 = 0", "Multiply: 81 * 0 = 0", "Divide: -242 / 9 = -242/9", "Divide: 0 / (-242/9) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "81 * (-5 * 0) / (-242 / 9)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -5, \"c\": 0, \"d\": -242, \"e\": 9}", "seed": "16205778116735663527", "semantic_fingerprint": "sha256:28352df521329a85dcf98a8f681798f15a468a88263b7a2c6959d74113f9ce64", "generator_version": "3.0"}
{"id": "v3_val_00002871", "prompt": "Calculate: -49 / (-5 * (37 / (-19 + (-706))))", "solution_steps": ["Add: -19 + (-706) = -725", "Divide: 37 / (-725) = -37/725", "Multiply: -5 * (-37/725) = 37/145", "Divide: -49 / (37/145) = -7105/37"], "final_answer": "-7105/37", "answer_type": "rational", "kind": "expression", "math_text": "-49 / (-5 * (37 / (-19 + (-706))))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (/ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -5, \"c\": 37, \"d\": -19, \"e\": -706}", "seed": "17655345389686504731", "semantic_fingerprint": "sha256:6b97c5352c238d6c6ac52d8f60c82d4c3b4ea2e3c02da81d465820802c76542e", "generator_version": "3.0"}
{"id": "v3_val_00002872", "prompt": "Solve for x: -4x + 3 = -11x - 11", "solution_steps": ["Add 11x to both sides: 7x + 3 = -11", "Subtract 3 from both sides: 7x = -14", "Divide both sides by 7: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 3 = -11x - 11", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": -11, \"e\": -11, \"x\": -2}", "seed": "2580233090808777621", "semantic_fingerprint": "sha256:157c8c4adddfb6f75b9ee85bce8b7b6a86f11a844a52da2dfc33d36b573828eb", "generator_version": "3.0"}
{"id": "v3_val_00002873", "prompt": "Evaluate: 68 * (47 * (-79))", "solution_steps": ["Multiply: 47 * (-79) = -3713", "Multiply: 68 * (-3713) = -252484"], "final_answer": "-252484", "answer_type": "integer", "kind": "expression", "math_text": "68 * (47 * (-79))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 47, \"c\": -79}", "seed": "2059626979474005126", "semantic_fingerprint": "sha256:4d0dcccc49d8cc74eb048ab41ad70ab2d4022bc6f494ed6a4715398ac26cff1a", "generator_version": "3.0"}
{"id": "v3_val_00002874", "prompt": "Compute: -181 / (-66 * 7)", "solution_steps": ["Multiply: -66 * 7 = -462", "Divide: -181 / (-462) = 181/462"], "final_answer": "181/462", "answer_type": "rational", "kind": "expression", "math_text": "-181 / (-66 * 7)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -181, \"b\": -66, \"c\": 7}", "seed": "920500695945462939", "semantic_fingerprint": "sha256:32e886bd60fa98b506e83ace16532f3940c2eac4f180386bfe52cbd732740846", "generator_version": "3.0"}
{"id": "v3_val_00002875", "prompt": "What is 1 * 861 / (-1) + 7 / (-4)?", "solution_steps": ["Multiply: 1 * 861 = 861", "Divide: 861 / (-1) = -861", "Divide: 7 / (-4) = -7/4", "Add: -861 + (-7/4) = -3451/4"], "final_answer": "-3451/4", "answer_type": "rational", "kind": "expression", "math_text": "1 * 861 / (-1) + 7 / (-4)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 861, \"c\": -1, \"d\": 7, \"e\": -4}", "seed": "15343967997232912902", "semantic_fingerprint": "sha256:e173a6d7ba43d90c72e8e79f4f9f634af9a9cd087f105f0c65720681e726b668", "generator_version": "3.0"}
{"id": "v3_val_00002876", "prompt": "Evaluate: (-617 - 1 + 78) * (65 - 31)", "solution_steps": ["Subtract: -617 - 1 = -618", "Add: -618 + 78 = -540", "Subtract: 65 - 31 = 34", "Multiply: -540 * 34 = -18360"], "final_answer": "-18360", "answer_type": "integer", "kind": "expression", "math_text": "(-617 - 1 + 78) * (65 - 31)", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -617, \"b\": 1, \"c\": 78, \"d\": 65, \"e\": 31}", "seed": "16419734770647126085", "semantic_fingerprint": "sha256:e16328c20622be868714dd4ed3f2c0b818d2a18320b00a5e02fe7af3c80063b3", "generator_version": "3.0"}
{"id": "v3_val_00002877", "prompt": "Evaluate: (-255 * (-91) + (-728)) / (44 - 78)", "solution_steps": ["Multiply: -255 * (-91) = 23205", "Add: 23205 + (-728) = 22477", "Subtract: 44 - 78 = -34", "Divide: 22477 / (-34) = -22477/34"], "final_answer": "-22477/34", "answer_type": "rational", "kind": "expression", "math_text": "(-255 * (-91) + (-728)) / (44 - 78)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -255, \"b\": -91, \"c\": -728, \"d\": 44, \"e\": 78}", "seed": "9711124382479458401", "semantic_fingerprint": "sha256:af29f80969409e2eba47ae802a8f84cfd2695da82018cf4baaf9db4c6a0f011c", "generator_version": "3.0"}
{"id": "v3_val_00002878", "prompt": "Evaluate: 8 - (-59 + 71)", "solution_steps": ["Add: -59 + 71 = 12", "Subtract: 8 - 12 = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-59 + 71)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -59, \"c\": 71}", "seed": "11680653481182543989", "semantic_fingerprint": "sha256:9eb48855cf87c3ae5589550d46335ace63979a0cf79e2610558eccac9a3526fb", "generator_version": "3.0"}
{"id": "v3_val_00002879", "prompt": "Compute: -8 * (-3 + (-592 + 71 - (-17))) + (-599)", "solution_steps": ["Add: -592 + 71 = -521", "Subtract: -521 - (-17) = -504", "Add: -3 + (-504) = -507", "Multiply: -8 * (-507) = 4056", "Add: 4056 + (-599) = 3457"], "final_answer": "3457", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-3 + (-592 + 71 - (-17))) + (-599)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n (- (+ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -3, \"c\": -592, \"d\": 71, \"e\": -17, \"f\": -599}", "seed": "17694349912794680413", "semantic_fingerprint": "sha256:8b9e8456e45e8ee331f3f7b76f1903484f87fddb4ca2e37814356ff2e37182bc", "generator_version": "3.0"}
{"id": "v3_val_00002880", "prompt": "Find x: 5(x - 3) - 865 = -10x - 640", "solution_steps": ["Expand: 5x - 15 - 865 = -10x - 640", "Combine constants: 5x - 880 = -10x - 640", "Add 10x to both sides: 15x - 880 = -640", "Add 880 to both sides: 15x = 240", "Divide both sides by 15: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 3) - 865 = -10x - 640", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 865, \"d\": -10, \"f\": -640, \"x\": 16}", "seed": "10532633467977710411", "semantic_fingerprint": "sha256:7aac23d2cf4a02b4a06f61e67391af1a0637d7e2c003b9f21fdb718b3c59af74", "generator_version": "3.0"}
{"id": "v3_val_00002881", "prompt": "What value of x satisfies x - 37 = -12x + 28?", "solution_steps": ["Add 12x to both sides: 13x - 37 = 28", "Add 37 to both sides: 13x = 65", "Divide both sides by 13: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 37 = -12x + 28", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -12, \"d\": 28, \"x\": 5}", "seed": "8698155275212272534", "semantic_fingerprint": "sha256:7721bc5df241df8b1ae9c1907f1bc7bdc705f7ec258cb9630038070841d8ce72", "generator_version": "3.0"}
{"id": "v3_val_00002882", "prompt": "Compute: 197 / (-2 + 297) * (-834)", "solution_steps": ["Add: -2 + 297 = 295", "Divide: 197 / 295 = 197/295", "Multiply: (197/295) * (-834) = -164298/295"], "final_answer": "-164298/295", "answer_type": "rational", "kind": "expression", "math_text": "197 / (-2 + 297) * (-834)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 197, \"b\": -2, \"c\": 297, \"d\": -834}", "seed": "6718002555258984495", "semantic_fingerprint": "sha256:ccb6c4343b838eddde6429e5ee220097c6cdc73ed11a509aeba7d108334e06ce", "generator_version": "3.0"}
{"id": "v3_val_00002883", "prompt": "Compute: 0 * (79 - (-754) / 809)", "solution_steps": ["Divide: -754 / 809 = -754/809", "Subtract: 79 - (-754/809) = 64665/809", "Multiply: 0 * (64665/809) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (79 - (-754) / 809)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 79, \"c\": -754, \"d\": 809}", "seed": "6472870912937283701", "semantic_fingerprint": "sha256:0509e42d4d6be26c1ab74dcf62356fbfd3969239382bc9131bcbc5c52c69757a", "generator_version": "3.0"}
{"id": "v3_val_00002884", "prompt": "Calculate: 17 * (27 - 881)", "solution_steps": ["Subtract: 27 - 881 = -854", "Multiply: 17 * (-854) = -14518"], "final_answer": "-14518", "answer_type": "integer", "kind": "expression", "math_text": "17 * (27 - 881)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 27, \"c\": 881}", "seed": "6322309259010013552", "semantic_fingerprint": "sha256:0f700a32f73219f2f9e4871981a75e7e73a22377caeb97fabb188c456ceb0ab0", "generator_version": "3.0"}
{"id": "v3_val_00002885", "prompt": "Find x: 3x + 183 = 213", "solution_steps": ["Subtract 183 from both sides: 3x = 30", "Divide both sides by 3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 183 = 213", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 183, \"d\": 213, \"x\": 10}", "seed": "7070654834821917806", "semantic_fingerprint": "sha256:701f2debcc888e3a5fcc1ec380f9718629c7fe7659ce9d3292672080865cfba5", "generator_version": "3.0"}
{"id": "v3_val_00002886", "prompt": "Compute: 40 + (-7) * (-16 + 81)", "solution_steps": ["Add: -16 + 81 = 65", "Multiply: -7 * 65 = -455", "Add: 40 + (-455) = -415"], "final_answer": "-415", "answer_type": "integer", "kind": "expression", "math_text": "40 + (-7) * (-16 + 81)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -7, \"c\": -16, \"d\": 81}", "seed": "5321586702668959388", "semantic_fingerprint": "sha256:e18f22400a7d719624f6c1286ac1292955fa8da25faa2e495305393259b6a072", "generator_version": "3.0"}
{"id": "v3_val_00002887", "prompt": "Compute: -72 - (0 + 2)", "solution_steps": ["Add: 0 + 2 = 2", "Subtract: -72 - 2 = -74"], "final_answer": "-74", "answer_type": "integer", "kind": "expression", "math_text": "-72 - (0 + 2)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 0, \"c\": 2}", "seed": "6726149777623880554", "semantic_fingerprint": "sha256:2f37b0f7bde5b23c40119b6ffa3e33bbf76278bcd77887392dc05707bf43bd5e", "generator_version": "3.0"}
{"id": "v3_val_00002888", "prompt": "Evaluate: 921 / (-6 - (-5)) - (949 + (-15))", "solution_steps": ["Subtract: -6 - (-5) = -1", "Divide: 921 / (-1) = -921", "Add: 949 + (-15) = 934", "Subtract: -921 - 934 = -1855"], "final_answer": "-1855", "answer_type": "integer", "kind": "expression", "math_text": "921 / (-6 - (-5)) - (949 + (-15))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 921, \"b\": -6, \"c\": -5, \"d\": 949, \"e\": -15}", "seed": "15673113886598226682", "semantic_fingerprint": "sha256:a125c6e6cb528da7802f903c062fde62b2bf7ab4150de9e14f2aa93257f7849d", "generator_version": "3.0"}
{"id": "v3_val_00002889", "prompt": "What is 7 / 95 / (-57) - (93 + (-9))?", "solution_steps": ["Divide: 7 / 95 = 7/95", "Divide: (7/95) / (-57) = -7/5415", "Add: 93 + (-9) = 84", "Subtract: -7/5415 - 84 = -454867/5415"], "final_answer": "-454867/5415", "answer_type": "rational", "kind": "expression", "math_text": "7 / 95 / (-57) - (93 + (-9))", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 95, \"c\": -57, \"d\": 93, \"e\": -9}", "seed": "2515372410904481746", "semantic_fingerprint": "sha256:72e676439ec0c1e17fadb17f8350cb2575d8235d9042e7f1cefd052a0287e731", "generator_version": "3.0"}
{"id": "v3_val_00002890", "prompt": "What value of x satisfies 10(x - 80) - 112 = 11(x + 3) + 15?", "solution_steps": ["Expand: 10x - 800 - 112 = 11(x + 3) + 15", "Expand: 10x - 800 - 112 = 11x + 33 + 15", "Combine constants: 10x - 912 = 11x + 33 + 15", "Combine constants: 10x - 912 = 11x + 48", "Subtract 11x from both sides: -x - 912 = 48", "Add 912 to both sides: -x = 960", "Divide both sides by -1: x = -960"], "final_answer": "-960", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 80) - 112 = 11(x + 3) + 15", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 80, \"c\": 112, \"d\": 11, \"e\": 3, \"f\": 15}", "seed": "6201123635471364522", "semantic_fingerprint": "sha256:a7e53d20863632e94e092e0821eeb5be2de0500e67e28ed3c67ce7803d0c98e0", "generator_version": "3.0"}
{"id": "v3_val_00002891", "prompt": "Find x: 7(x - 6) - 81 = x - 183", "solution_steps": ["Expand: 7x - 42 - 81 = x - 183", "Combine constants: 7x - 123 = x - 183", "Subtract x from both sides: 6x - 123 = -183", "Add 123 to both sides: 6x = -60", "Divide both sides by 6: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 6) - 81 = x - 183", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 81, \"e\": -183, \"x\": -10}", "seed": "2084033327349479728", "semantic_fingerprint": "sha256:264a8adbd9dbaa2b92a767547962fb0bd277f8fa4f0edc412b7f7e186671ead0", "generator_version": "3.0"}
{"id": "v3_val_00002892", "prompt": "Solve for x: 5x + 23 = 7(x + 30) + 65", "solution_steps": ["Expand: 5x + 23 = 7x + 210 + 65", "Combine constants: 5x + 23 = 7x + 275", "Subtract 7x from both sides: -2x + 23 = 275", "Subtract 23 from both sides: -2x = 252", "Divide both sides by -2: x = -126"], "final_answer": "-126", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 23 = 7(x + 30) + 65", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 23, \"c\": 7, \"d\": 30, \"e\": 65}", "seed": "9964912451639987964", "semantic_fingerprint": "sha256:a4d6ff254dc719181fed359b5b202587664d427df8d7f86e5922971bc0f93c2d", "generator_version": "3.0"}
{"id": "v3_val_00002893", "prompt": "Compute: -8 / (-6 / (-63))", "solution_steps": ["Divide: -6 / (-63) = 2/21", "Divide: -8 / (2/21) = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "expression", "math_text": "-8 / (-6 / (-63))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -6, \"c\": -63}", "seed": "17815272926405125801", "semantic_fingerprint": "sha256:5a60591d1cedb93237784885652921e03125ade2946fe1f4e7c07f473cea6839", "generator_version": "3.0"}
{"id": "v3_val_00002894", "prompt": "Evaluate: (6 - (-4)) / 65", "solution_steps": ["Subtract: 6 - (-4) = 10", "Divide: 10 / 65 = 2/13"], "final_answer": "2/13", "answer_type": "rational", "kind": "expression", "math_text": "(6 - (-4)) / 65", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -4, \"c\": 65}", "seed": "10830891070705672585", "semantic_fingerprint": "sha256:7e08a9b22d99392eccbb3c36630f50d97b0da5f8ddc0c680e53efef4379770fe", "generator_version": "3.0"}
{"id": "v3_val_00002895", "prompt": "Compute: (-659 + (-519) / (-99)) / (84 - (-7))", "solution_steps": ["Divide: -519 / (-99) = 173/33", "Add: -659 + 173/33 = -21574/33", "Subtract: 84 - (-7) = 91", "Divide: (-21574/33) / 91 = -3082/429"], "final_answer": "-3082/429", "answer_type": "rational", "kind": "expression", "math_text": "(-659 + (-519) / (-99)) / (84 - (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -659, \"b\": -519, \"c\": -99, \"d\": 84, \"e\": -7}", "seed": "8748713300606422151", "semantic_fingerprint": "sha256:cda2cde4ee486eb19447190463548a0c0c017808c6ea82bd1c62b50c2712fa7a", "generator_version": "3.0"}
{"id": "v3_val_00002896", "prompt": "Solve the equation x + 196 = -12(x - 7) + 268 for x.", "solution_steps": ["Expand: x + 196 = -12x + 84 + 268", "Combine constants: x + 196 = -12x + 352", "Add 12x to both sides: 13x + 196 = 352", "Subtract 196 from both sides: 13x = 156", "Divide both sides by 13: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 196 = -12(x - 7) + 268", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 196, \"b\": -12, \"c\": 7, \"e\": 268, \"x\": 12}", "seed": "16813878306099677460", "semantic_fingerprint": "sha256:83ffb8e50331f00c0706f09f99dc2e4760661ef4dcdb74a6b1c95fa7fd711916", "generator_version": "3.0"}
{"id": "v3_val_00002897", "prompt": "What is -39 / (-8) * 2?", "solution_steps": ["Divide: -39 / (-8) = 39/8", "Multiply: (39/8) * 2 = 39/4"], "final_answer": "39/4", "answer_type": "rational", "kind": "expression", "math_text": "-39 / (-8) * 2", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -8, \"c\": 2}", "seed": "16918501001454533570", "semantic_fingerprint": "sha256:584b7373c446415d93154c369fde514b4fac0e7399f39eafa23f1773e14459e4", "generator_version": "3.0"}
{"id": "v3_val_00002898", "prompt": "Evaluate: -650 / (8 - 4)", "solution_steps": ["Subtract: 8 - 4 = 4", "Divide: -650 / 4 = -325/2"], "final_answer": "-325/2", "answer_type": "rational", "kind": "expression", "math_text": "-650 / (8 - 4)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -650, \"b\": 8, \"c\": 4}", "seed": "13870427410116741559", "semantic_fingerprint": "sha256:339fc2be291309dab95d43a24391d6ab5b340dba36a2967171e193ee09a48658", "generator_version": "3.0"}
{"id": "v3_val_00002899", "prompt": "Compute: 1 - (-5)", "solution_steps": ["Subtract: 1 - (-5) = 6"], "final_answer": "6", "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": "12299175058730890872", "semantic_fingerprint": "sha256:4e58a75155f9935acc3c0c52326c2ab82543b305e50ec370f8dee2d7e679c4d1", "generator_version": "3.0"}
{"id": "v3_val_00002900", "prompt": "Solve the equation 8(x - 8) = 16 for x.", "solution_steps": ["Expand: 8x - 64 = 16", "Add 64 to both sides: 8x = 80", "Divide both sides by 8: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 8) = 16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"d\": 16, \"x\": 10}", "seed": "4073480509366413558", "semantic_fingerprint": "sha256:a32407d62c548d097e1ca41297e36c997f2452bac1219c43715bde092feade6c", "generator_version": "3.0"}
{"id": "v3_val_00002901", "prompt": "What is -37 * (-573 + (-94))?", "solution_steps": ["Add: -573 + (-94) = -667", "Multiply: -37 * (-667) = 24679"], "final_answer": "24679", "answer_type": "integer", "kind": "expression", "math_text": "-37 * (-573 + (-94))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -573, \"c\": -94}", "seed": "14793560624344971727", "semantic_fingerprint": "sha256:63469e6c27591a399ba62486afb341aa8966d0cf750f0b1ff5a9657cb93289bc", "generator_version": "3.0"}
{"id": "v3_val_00002902", "prompt": "Compute: 1 + (-974 - 46 - 77)", "solution_steps": ["Subtract: -974 - 46 = -1020", "Subtract: -1020 - 77 = -1097", "Add: 1 + (-1097) = -1096"], "final_answer": "-1096", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-974 - 46 - 77)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -974, \"c\": 46, \"d\": 77}", "seed": "5613834406381369598", "semantic_fingerprint": "sha256:29aa207e5b921bde3d2bbe31a02c1771e965a6b34cab3b1df3a8040898d832a9", "generator_version": "3.0"}
{"id": "v3_val_00002903", "prompt": "Calculate: -31 / 44", "solution_steps": ["Divide: -31 / 44 = -31/44"], "final_answer": "-31/44", "answer_type": "rational", "kind": "expression", "math_text": "-31 / 44", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 44}", "seed": "17865056603709939997", "semantic_fingerprint": "sha256:8b6bcae52805d044c052f322eab9f37992f65b7f042b33f22022c14840ae3e58", "generator_version": "3.0"}
{"id": "v3_val_00002904", "prompt": "Find x: 12x = 2x + 120", "solution_steps": ["Subtract 2x from both sides: 10x = 120", "Divide both sides by 10: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 2x + 120", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"d\": 120, \"x\": 12}", "seed": "7550082135465575593", "semantic_fingerprint": "sha256:10d41d112e70e690c9ec5a0a9db4f7076dd859e780d09394ac1dfde836232a2c", "generator_version": "3.0"}
{"id": "v3_val_00002905", "prompt": "Solve for x: 9(x - 7) + 71 = -28", "solution_steps": ["Expand: 9x - 63 + 71 = -28", "Combine constants: 9x + 8 = -28", "Subtract 8 from both sides: 9x = -36", "Divide both sides by 9: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 7) + 71 = -28", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 71, \"e\": -28, \"x\": -4}", "seed": "918432286685522359", "semantic_fingerprint": "sha256:08e2916129d6f9c1cce2f566b4a30dfaa8598039a704cd22d3ddfb70344ca711", "generator_version": "3.0"}
{"id": "v3_val_00002906", "prompt": "What value of x satisfies 7x + 12 = 5(x + 977) + 190?", "solution_steps": ["Expand: 7x + 12 = 5x + 4885 + 190", "Combine constants: 7x + 12 = 5x + 5075", "Subtract 5x from both sides: 2x + 12 = 5075", "Subtract 12 from both sides: 2x = 5063", "Divide both sides by 2: x = 5063/2"], "final_answer": "5063/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 12 = 5(x + 977) + 190", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 5, \"d\": 977, \"e\": 190}", "seed": "2382665475588046964", "semantic_fingerprint": "sha256:e913eb75f5e48b166356b3b7a00e67e45aab3862ad60425275e014c50cec56f8", "generator_version": "3.0"}
{"id": "v3_val_00002907", "prompt": "Solve for x: -6(x - 258) - 938 = 10(x + 93)", "solution_steps": ["Expand: -6x + 1548 - 938 = 10(x + 93)", "Expand: -6x + 1548 - 938 = 10x + 930", "Combine constants: -6x + 610 = 10x + 930", "Subtract 10x from both sides: -16x + 610 = 930", "Subtract 610 from both sides: -16x = 320", "Divide both sides by -16: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 258) - 938 = 10(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\": 258, \"c\": 10, \"d\": 93, \"f\": -938, \"x\": -20}", "seed": "10743913237566006045", "semantic_fingerprint": "sha256:3d70911a539e1521ee5c32140272e53b43e975308a661a7d464184c434e3a7c8", "generator_version": "3.0"}
{"id": "v3_val_00002908", "prompt": "Calculate: 31 - (-7)", "solution_steps": ["Subtract: 31 - (-7) = 38"], "final_answer": "38", "answer_type": "integer", "kind": "expression", "math_text": "31 - (-7)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -7}", "seed": "7019335994536157453", "semantic_fingerprint": "sha256:ff9320f1e2a2b3a3f0f569f32457f9f057fac02345fe75bb0b044bb9fc895f19", "generator_version": "3.0"}
{"id": "v3_val_00002909", "prompt": "What value of x satisfies 3x + 484 = 2x?", "solution_steps": ["Subtract 2x from both sides: x + 484 = 0", "Subtract 484 from both sides: x = -484"], "final_answer": "-484", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 484 = 2x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 484, \"c\": 2}", "seed": "17639913363941020978", "semantic_fingerprint": "sha256:6ce4ceab0c8af98b00b15dfd8b50c103b5aff4272cb793804e96b3739b149ace", "generator_version": "3.0"}
{"id": "v3_val_00002910", "prompt": "Compute: -3 / (-92) - (-16)", "solution_steps": ["Divide: -3 / (-92) = 3/92", "Subtract: 3/92 - (-16) = 1475/92"], "final_answer": "1475/92", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-92) - (-16)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -92, \"c\": -16}", "seed": "17592378849612166349", "semantic_fingerprint": "sha256:90451dc30175c85a86e340bea167d055361b9ee5e10b372e5784b9adc0dc2665", "generator_version": "3.0"}
{"id": "v3_val_00002911", "prompt": "Compute: (998 + 23) * (-578 + 515)", "solution_steps": ["Add: 998 + 23 = 1021", "Add: -578 + 515 = -63", "Multiply: 1021 * (-63) = -64323"], "final_answer": "-64323", "answer_type": "integer", "kind": "expression", "math_text": "(998 + 23) * (-578 + 515)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 998, \"b\": 23, \"c\": -578, \"d\": 515}", "seed": "9382821276283744891", "semantic_fingerprint": "sha256:44752cd947b202bd6a40f48b782304371fc9df0dbe74d726589f36dc5a676b4a", "generator_version": "3.0"}
{"id": "v3_val_00002912", "prompt": "Solve the equation 6x + 9 = x - 71 for x.", "solution_steps": ["Subtract x from both sides: 5x + 9 = -71", "Subtract 9 from both sides: 5x = -80", "Divide both sides by 5: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 9 = x - 71", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"d\": -71, \"x\": -16}", "seed": "756408541806653430", "semantic_fingerprint": "sha256:02f3f2dcf6a350d18714c7330f66f547e88a397848b9e27d117b6407644b51c7", "generator_version": "3.0"}
{"id": "v3_val_00002913", "prompt": "Calculate: 70 * (-915) - (-86)", "solution_steps": ["Multiply: 70 * (-915) = -64050", "Subtract: -64050 - (-86) = -63964"], "final_answer": "-63964", "answer_type": "integer", "kind": "expression", "math_text": "70 * (-915) - (-86)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -915, \"c\": -86}", "seed": "12419272663683475402", "semantic_fingerprint": "sha256:9fd9485d18959d3f15dfa5a66357e068cc3fe13c6a479c147d8852b787f78d0c", "generator_version": "3.0"}
{"id": "v3_val_00002914", "prompt": "Solve for x: 10x = 30", "solution_steps": ["Divide both sides by 10: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 30", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": 30, \"x\": 3}", "seed": "3550029098309888846", "semantic_fingerprint": "sha256:e4662ee2318bc3a3be5dd61fcce4d3d8359b5059bbbeb27bd4bf7bc8f003829b", "generator_version": "3.0"}
{"id": "v3_val_00002915", "prompt": "Evaluate: -68 / (7 - 55)", "solution_steps": ["Subtract: 7 - 55 = -48", "Divide: -68 / (-48) = 17/12"], "final_answer": "17/12", "answer_type": "rational", "kind": "expression", "math_text": "-68 / (7 - 55)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 7, \"c\": 55}", "seed": "4979297040714980165", "semantic_fingerprint": "sha256:d7c0226e373a06b626897a4728a23bf5a8d610acd3f9c67e4867466366a39e85", "generator_version": "3.0"}
{"id": "v3_val_00002916", "prompt": "What is -552 / 7 / (-2) + (9 + 5 * (-67))?", "solution_steps": ["Divide: -552 / 7 = -552/7", "Divide: (-552/7) / (-2) = 276/7", "Multiply: 5 * (-67) = -335", "Add: 9 + (-335) = -326", "Add: 276/7 + (-326) = -2006/7"], "final_answer": "-2006/7", "answer_type": "rational", "kind": "expression", "math_text": "-552 / 7 / (-2) + (9 + 5 * (-67))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) n) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -552, \"b\": 7, \"c\": -2, \"d\": 9, \"e\": 5, \"f\": -67}", "seed": "12006816875556866417", "semantic_fingerprint": "sha256:e0106b1aca087be3cddc69b02c8a5d021284b55460b7f173428d4a9a8f6a555f", "generator_version": "3.0"}
{"id": "v3_val_00002917", "prompt": "Calculate: -77 * 6", "solution_steps": ["Multiply: -77 * 6 = -462"], "final_answer": "-462", "answer_type": "integer", "kind": "expression", "math_text": "-77 * 6", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 6}", "seed": "8405450982088226730", "semantic_fingerprint": "sha256:13c894a1d84b410d532ac796212f28ddbc185ec4874b9e465fe282e276a997f9", "generator_version": "3.0"}
{"id": "v3_val_00002918", "prompt": "Compute: -51 * ((66 - 0) / (-15 / 4 - 4))", "solution_steps": ["Subtract: 66 - 0 = 66", "Divide: -15 / 4 = -15/4", "Subtract: -15/4 - 4 = -31/4", "Divide: 66 / (-31/4) = -264/31", "Multiply: -51 * (-264/31) = 13464/31"], "final_answer": "13464/31", "answer_type": "rational", "kind": "expression", "math_text": "-51 * ((66 - 0) / (-15 / 4 - 4))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (- n n) (- (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 66, \"c\": 0, \"d\": -15, \"e\": 4, \"f\": 4}", "seed": "1350080784740472014", "semantic_fingerprint": "sha256:665a42c94954f4b68eae270bb59e87e48c3cdd76ff48e43de1c17159fc340c0b", "generator_version": "3.0"}
{"id": "v3_val_00002919", "prompt": "Solve for x: 7(x - 83) = x", "solution_steps": ["Expand: 7x - 581 = x", "Subtract x from both sides: 6x - 581 = 0", "Add 581 to both sides: 6x = 581", "Divide both sides by 6: x = 581/6"], "final_answer": "581/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 83) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 83}", "seed": "11967655531416103568", "semantic_fingerprint": "sha256:9ba276c190c2b1fd673a02f65304bb48382c74ed65ebb9687c7a7322b9abbb7e", "generator_version": "3.0"}
{"id": "v3_val_00002920", "prompt": "Compute: 17 / (-2 + (-99))", "solution_steps": ["Add: -2 + (-99) = -101", "Divide: 17 / (-101) = -17/101"], "final_answer": "-17/101", "answer_type": "rational", "kind": "expression", "math_text": "17 / (-2 + (-99))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -2, \"c\": -99}", "seed": "14097220271855439836", "semantic_fingerprint": "sha256:e63fd68f612ef27017659232dd73fe255b145353a81150feb98de7fba109273a", "generator_version": "3.0"}
{"id": "v3_val_00002921", "prompt": "Calculate: 553 + (58 + 767)", "solution_steps": ["Add: 58 + 767 = 825", "Add: 553 + 825 = 1378"], "final_answer": "1378", "answer_type": "integer", "kind": "expression", "math_text": "553 + (58 + 767)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 553, \"b\": 58, \"c\": 767}", "seed": "16353194349721328145", "semantic_fingerprint": "sha256:336ea4b03fc1e972d62428656c84e670ddff4c2530a6fa05312c0e35978cd0cc", "generator_version": "3.0"}
{"id": "v3_val_00002922", "prompt": "Find x: 2x - 29 = x + 365", "solution_steps": ["Subtract x from both sides: x - 29 = 365", "Add 29 to both sides: x = 394"], "final_answer": "394", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 29 = x + 365", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 29, \"c\": 365}", "seed": "5219884272779244513", "semantic_fingerprint": "sha256:65f3c0e01e2902ce3153485cc2fff5f7082b6bd82d003f68abdfa6fdf0ff2805", "generator_version": "3.0"}
{"id": "v3_val_00002923", "prompt": "Solve the equation 5(x + 41) - 385 = -4x for x.", "solution_steps": ["Expand: 5x + 205 - 385 = -4x", "Combine constants: 5x - 180 = -4x", "Add 4x to both sides: 9x - 180 = 0", "Add 180 to both sides: 9x = 180", "Divide both sides by 9: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 41) - 385 = -4x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 41, \"c\": -4, \"e\": -385, \"x\": 20}", "seed": "1294666146693798186", "semantic_fingerprint": "sha256:dcc493556c23c95fc8a003c47fbf8a52252e47b49139da4356b72b4530c2cfde", "generator_version": "3.0"}
{"id": "v3_val_00002924", "prompt": "Find x: 12(x - 88) - 600 = -4(x + 50) + 1", "solution_steps": ["Expand: 12x - 1056 - 600 = -4(x + 50) + 1", "Expand: 12x - 1056 - 600 = -4x - 200 + 1", "Combine constants: 12x - 1656 = -4x - 200 + 1", "Combine constants: 12x - 1656 = -4x - 199", "Add 4x to both sides: 16x - 1656 = -199", "Add 1656 to both sides: 16x = 1457", "Divide both sides by 16: x = 1457/16"], "final_answer": "1457/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 88) - 600 = -4(x + 50) + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 88, \"c\": 600, \"d\": -4, \"e\": 50, \"f\": 1}", "seed": "7030336049975165899", "semantic_fingerprint": "sha256:5a44b1e54371beba9468882e3b8a0fd85a20796132ff8bc24aeb7fff07d27534", "generator_version": "3.0"}
{"id": "v3_val_00002925", "prompt": "Calculate: 4 + (-292)", "solution_steps": ["Add: 4 + (-292) = -288"], "final_answer": "-288", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-292)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -292}", "seed": "13346406600641905508", "semantic_fingerprint": "sha256:4ea5def0a04e0b28220f9a62c8ee932c0ed25c4dc116e8aef53f5d87451d3795", "generator_version": "3.0"}
{"id": "v3_val_00002926", "prompt": "What is -29 + (-25 - 402 - 7 + 4)?", "solution_steps": ["Subtract: -25 - 402 = -427", "Subtract: -427 - 7 = -434", "Add: -434 + 4 = -430", "Add: -29 + (-430) = -459"], "final_answer": "-459", "answer_type": "integer", "kind": "expression", "math_text": "-29 + (-25 - 402 - 7 + 4)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -25, \"c\": 402, \"d\": 7, \"e\": 4}", "seed": "11282585358931177530", "semantic_fingerprint": "sha256:b7dfed8b9556166255409ebfcb7d10eb420e35b3d40057bb69ea253d8faaafe6", "generator_version": "3.0"}
{"id": "v3_val_00002927", "prompt": "Compute: (5 + 129 + 46) * (-6 + 0 - (-125))", "solution_steps": ["Add: 5 + 129 = 134", "Add: 134 + 46 = 180", "Add: -6 + 0 = -6", "Subtract: -6 - (-125) = 119", "Multiply: 180 * 119 = 21420"], "final_answer": "21420", "answer_type": "integer", "kind": "expression", "math_text": "(5 + 129 + 46) * (-6 + 0 - (-125))", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 129, \"c\": 46, \"d\": -6, \"e\": 0, \"f\": -125}", "seed": "8006431636241103302", "semantic_fingerprint": "sha256:ff6ed3c2757c4959a3e8e26ed0f8fe31afadf0b40214267c46b6a4a17a941839", "generator_version": "3.0"}
{"id": "v3_val_00002928", "prompt": "Calculate: 579 + 5 / 5 + (-248)", "solution_steps": ["Divide: 5 / 5 = 1", "Add: 579 + 1 = 580", "Add: 580 + (-248) = 332"], "final_answer": "332", "answer_type": "integer", "kind": "expression", "math_text": "579 + 5 / 5 + (-248)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 579, \"b\": 5, \"c\": 5, \"d\": -248}", "seed": "12061168895112566324", "semantic_fingerprint": "sha256:a6e709082bb567c75e70fa04b1beed51c9ad2f1c64ab8bb6e1482e0c08ecfd36", "generator_version": "3.0"}
{"id": "v3_val_00002929", "prompt": "Evaluate: 5 / (311 - (-8))", "solution_steps": ["Subtract: 311 - (-8) = 319", "Divide: 5 / 319 = 5/319"], "final_answer": "5/319", "answer_type": "rational", "kind": "expression", "math_text": "5 / (311 - (-8))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 311, \"c\": -8}", "seed": "17910009002821372951", "semantic_fingerprint": "sha256:f297a6504c21a8a83c44c354a4f9c2bb1c6847143718c0d2b71abbcb64c5d9b6", "generator_version": "3.0"}
{"id": "v3_val_00002930", "prompt": "Find x: 8(x - 72) = x", "solution_steps": ["Expand: 8x - 576 = x", "Subtract x from both sides: 7x - 576 = 0", "Add 576 to both sides: 7x = 576", "Divide both sides by 7: x = 576/7"], "final_answer": "576/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 72) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 72}", "seed": "11362876469019133769", "semantic_fingerprint": "sha256:16ee5868f19f16d088dbda96b4096f8d6a277fdf0b6cce320a722156c44d46cc", "generator_version": "3.0"}
{"id": "v3_val_00002931", "prompt": "Calculate: 30 / 452 / (-4 * (-4))", "solution_steps": ["Divide: 30 / 452 = 15/226", "Multiply: -4 * (-4) = 16", "Divide: (15/226) / 16 = 15/3616"], "final_answer": "15/3616", "answer_type": "rational", "kind": "expression", "math_text": "30 / 452 / (-4 * (-4))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 452, \"c\": -4, \"d\": -4}", "seed": "3241415517483356526", "semantic_fingerprint": "sha256:0bb9c80cb03e3baaa3b671286b5a715a58caadf00b854c9759753b89cd10fcb9", "generator_version": "3.0"}
{"id": "v3_val_00002932", "prompt": "Compute: (-29 + (-45)) * (-7)", "solution_steps": ["Add: -29 + (-45) = -74", "Multiply: -74 * (-7) = 518"], "final_answer": "518", "answer_type": "integer", "kind": "expression", "math_text": "(-29 + (-45)) * (-7)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -45, \"c\": -7}", "seed": "2801170453505424067", "semantic_fingerprint": "sha256:a51627c299d73d7ced09813da56e4d4d58326bf273bba06a6728be394443d307", "generator_version": "3.0"}
{"id": "v3_val_00002933", "prompt": "What is -54 - 727 * (-45 + (-55) - (-551 + 4))?", "solution_steps": ["Add: -45 + (-55) = -100", "Add: -551 + 4 = -547", "Subtract: -100 - (-547) = 447", "Multiply: 727 * 447 = 324969", "Subtract: -54 - 324969 = -325023"], "final_answer": "-325023", "answer_type": "integer", "kind": "expression", "math_text": "-54 - 727 * (-45 + (-55) - (-551 + 4))", "variable": null, "family": "expression_5op", "shape": "(- n (* n (- (+ n n) (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 727, \"c\": -45, \"d\": -55, \"e\": -551, \"f\": 4}", "seed": "11261373140146467149", "semantic_fingerprint": "sha256:bd26533416760449cec69e627120534856a51a897e6930f7c115baea0587d102", "generator_version": "3.0"}
{"id": "v3_val_00002934", "prompt": "Calculate: 46 / 208", "solution_steps": ["Divide: 46 / 208 = 23/104"], "final_answer": "23/104", "answer_type": "rational", "kind": "expression", "math_text": "46 / 208", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 208}", "seed": "14561264485457984004", "semantic_fingerprint": "sha256:90aa119c0f84923bf97cb33a321e0043975790312049106d3b222314a10dfef8", "generator_version": "3.0"}
{"id": "v3_val_00002935", "prompt": "What value of x satisfies x - 96 = -5x?", "solution_steps": ["Add 5x to both sides: 6x - 96 = 0", "Add 96 to both sides: 6x = 96", "Divide both sides by 6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 96 = -5x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"c\": -96, \"x\": 16}", "seed": "8548836024136685743", "semantic_fingerprint": "sha256:3738852b8ffbb02d2b7f139f0c57c5ec572ec2750fbd624f87c0b3dccc6fb2ce", "generator_version": "3.0"}
{"id": "v3_val_00002936", "prompt": "Evaluate: 41 / (-987) + (-50)", "solution_steps": ["Divide: 41 / (-987) = -41/987", "Add: -41/987 + (-50) = -49391/987"], "final_answer": "-49391/987", "answer_type": "rational", "kind": "expression", "math_text": "41 / (-987) + (-50)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -987, \"c\": -50}", "seed": "470653759167278219", "semantic_fingerprint": "sha256:38428c0cea4dffd4ef957a9730dee5dcb64f9b30fd350431533498daab05619c", "generator_version": "3.0"}
{"id": "v3_val_00002937", "prompt": "What is (45 - 9 - (-931) * (-60)) / (-65 + 372)?", "solution_steps": ["Subtract: 45 - 9 = 36", "Multiply: -931 * (-60) = 55860", "Subtract: 36 - 55860 = -55824", "Add: -65 + 372 = 307", "Divide: -55824 / 307 = -55824/307"], "final_answer": "-55824/307", "answer_type": "rational", "kind": "expression", "math_text": "(45 - 9 - (-931) * (-60)) / (-65 + 372)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 9, \"c\": -931, \"d\": -60, \"e\": -65, \"f\": 372}", "seed": "3548410972068655287", "semantic_fingerprint": "sha256:01f71c583403db9c5c3d35499a41dff4abdb5686fc29f1994efd294f331de2a0", "generator_version": "3.0"}
{"id": "v3_val_00002938", "prompt": "Solve for x: 9(x + 1) - 310 = -10x - 16", "solution_steps": ["Expand: 9x + 9 - 310 = -10x - 16", "Combine constants: 9x - 301 = -10x - 16", "Add 10x to both sides: 19x - 301 = -16", "Add 301 to both sides: 19x = 285", "Divide both sides by 19: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 1) - 310 = -10x - 16", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 310, \"d\": -10, \"f\": -16, \"x\": 15}", "seed": "7529862005614639445", "semantic_fingerprint": "sha256:373bb5822c616c118f7d0b66989a6962057728b737d93fbba789eeef48d77138", "generator_version": "3.0"}
{"id": "v3_val_00002939", "prompt": "Find x: 6(x + 165) = 11(x + 2) + 44", "solution_steps": ["Expand: 6x + 990 = 11(x + 2) + 44", "Expand: 6x + 990 = 11x + 22 + 44", "Combine constants: 6x + 990 = 11x + 66", "Subtract 11x from both sides: -5x + 990 = 66", "Subtract 990 from both sides: -5x = -924", "Divide both sides by -5: x = 924/5"], "final_answer": "924/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 165) = 11(x + 2) + 44", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 165, \"c\": 11, \"d\": 2, \"e\": 44}", "seed": "592963835576966173", "semantic_fingerprint": "sha256:2c61bacd6e9c11232b2e4232fa06f04434d241ac82d34c4aa66e7b64fe294485", "generator_version": "3.0"}
{"id": "v3_val_00002940", "prompt": "Calculate: 42 * (-97 * (-68)) / (-12 - (-7) - 52)", "solution_steps": ["Multiply: -97 * (-68) = 6596", "Multiply: 42 * 6596 = 277032", "Subtract: -12 - (-7) = -5", "Subtract: -5 - 52 = -57", "Divide: 277032 / (-57) = -92344/19"], "final_answer": "-92344/19", "answer_type": "rational", "kind": "expression", "math_text": "42 * (-97 * (-68)) / (-12 - (-7) - 52)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (* n n)) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -97, \"c\": -68, \"d\": -12, \"e\": -7, \"f\": 52}", "seed": "3671381032404678171", "semantic_fingerprint": "sha256:0bb8fee755dc4370d20c219781f7a27450fd5d80a9cc145a2fc4cae24c7b3b66", "generator_version": "3.0"}
{"id": "v3_val_00002941", "prompt": "Solve the equation 4(x - 595) = -3(x - 9) + 7 for x.", "solution_steps": ["Expand: 4x - 2380 = -3(x - 9) + 7", "Expand: 4x - 2380 = -3x + 27 + 7", "Combine constants: 4x - 2380 = -3x + 34", "Add 3x to both sides: 7x - 2380 = 34", "Add 2380 to both sides: 7x = 2414", "Divide both sides by 7: x = 2414/7"], "final_answer": "2414/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 595) = -3(x - 9) + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 595, \"c\": -3, \"d\": 9, \"e\": 7}", "seed": "10891749452959387593", "semantic_fingerprint": "sha256:5a74f19206e22b5cba0483bc9f28d38d0bd8f013fc305bb90a413098db0d3ec9", "generator_version": "3.0"}
{"id": "v3_val_00002942", "prompt": "Calculate: (-7 - (-3 - 991)) * 9 * 8", "solution_steps": ["Subtract: -3 - 991 = -994", "Subtract: -7 - (-994) = 987", "Multiply: 987 * 9 = 8883", "Multiply: 8883 * 8 = 71064"], "final_answer": "71064", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - (-3 - 991)) * 9 * 8", "variable": null, "family": "expression_4op", "shape": "(* (* (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -3, \"c\": 991, \"d\": 9, \"e\": 8}", "seed": "15198253128464170460", "semantic_fingerprint": "sha256:05a125d2161c01ccfa8927c69ad9831cb9974e495bad3745a472679f107d7705", "generator_version": "3.0"}
{"id": "v3_val_00002943", "prompt": "Solve the equation x - 69 = -64 for x.", "solution_steps": ["Add 69 to both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 69 = -64", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -64}", "seed": "13196348044613161670", "semantic_fingerprint": "sha256:4e61b8428b990c9e3538289e7974b084ebe502c0020d77e94b20ec05bd632e86", "generator_version": "3.0"}
{"id": "v3_val_00002944", "prompt": "Solve the equation 3x = -11(x - 59) + 71 for x.", "solution_steps": ["Expand: 3x = -11x + 649 + 71", "Combine constants: 3x = -11x + 720", "Add 11x to both sides: 14x = 720", "Divide both sides by 14: x = 360/7"], "final_answer": "360/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = -11(x - 59) + 71", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -11, \"c\": 59, \"d\": 71}", "seed": "16318310891306317635", "semantic_fingerprint": "sha256:3e75dc2b89636ddc58ed3aacad38ca943c2e2556a3440a20874b6cc24e01b5e5", "generator_version": "3.0"}
{"id": "v3_val_00002945", "prompt": "What value of x satisfies 10(x + 7) = -11(x - 1) - 298?", "solution_steps": ["Expand: 10x + 70 = -11(x - 1) - 298", "Expand: 10x + 70 = -11x + 11 - 298", "Combine constants: 10x + 70 = -11x - 287", "Add 11x to both sides: 21x + 70 = -287", "Subtract 70 from both sides: 21x = -357", "Divide both sides by 21: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 7) = -11(x - 1) - 298", "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\": -11, \"d\": 1, \"f\": -298, \"x\": -17}", "seed": "12436970299543571030", "semantic_fingerprint": "sha256:b530b6ded62c7fe9ea46646fbfb38a7ec6bec3ba4ea960e7897f007fa0026f1b", "generator_version": "3.0"}
{"id": "v3_val_00002946", "prompt": "Calculate: (-2 - (-4)) / (32 + (-59))", "solution_steps": ["Subtract: -2 - (-4) = 2", "Add: 32 + (-59) = -27", "Divide: 2 / (-27) = -2/27"], "final_answer": "-2/27", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - (-4)) / (32 + (-59))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -4, \"c\": 32, \"d\": -59}", "seed": "740302179394851007", "semantic_fingerprint": "sha256:e6a46b76ff7ecbcf10565d4325c66f7530db9c703a321c59ce31240595707e5a", "generator_version": "3.0"}
{"id": "v3_val_00002947", "prompt": "Evaluate: -781 * 9 + (-13 + 1) * (-27)", "solution_steps": ["Multiply: -781 * 9 = -7029", "Add: -13 + 1 = -12", "Multiply: -12 * (-27) = 324", "Add: -7029 + 324 = -6705"], "final_answer": "-6705", "answer_type": "integer", "kind": "expression", "math_text": "-781 * 9 + (-13 + 1) * (-27)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -781, \"b\": 9, \"c\": -13, \"d\": 1, \"e\": -27}", "seed": "5092255371947640189", "semantic_fingerprint": "sha256:5ac4b4a95794ff44efc11add0558aa0a1dc0217294632a0501215428cc206783", "generator_version": "3.0"}
{"id": "v3_val_00002948", "prompt": "Evaluate: 65 - (-6) + 8 * (-86)", "solution_steps": ["Subtract: 65 - (-6) = 71", "Multiply: 8 * (-86) = -688", "Add: 71 + (-688) = -617"], "final_answer": "-617", "answer_type": "integer", "kind": "expression", "math_text": "65 - (-6) + 8 * (-86)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -6, \"c\": 8, \"d\": -86}", "seed": "8750358713144844802", "semantic_fingerprint": "sha256:e38225e8880be99115f42fe3b4df43173bb78d9c3f63db0aeaffe5d5d7430192", "generator_version": "3.0"}
{"id": "v3_val_00002949", "prompt": "Solve for x: 9x = 8(x - 851) + 99", "solution_steps": ["Expand: 9x = 8x - 6808 + 99", "Combine constants: 9x = 8x - 6709", "Subtract 8x from both sides: x = -6709"], "final_answer": "-6709", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 8(x - 851) + 99", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 851, \"d\": 99}", "seed": "10271946362951684842", "semantic_fingerprint": "sha256:75f1a93ec63290c781d51723870cd093781745797a30ce554a7f9d7c4c9f90a9", "generator_version": "3.0"}
{"id": "v3_val_00002950", "prompt": "Compute: 612 / (-5 - (-787) / (-48))", "solution_steps": ["Divide: -787 / (-48) = 787/48", "Subtract: -5 - 787/48 = -1027/48", "Divide: 612 / (-1027/48) = -29376/1027"], "final_answer": "-29376/1027", "answer_type": "rational", "kind": "expression", "math_text": "612 / (-5 - (-787) / (-48))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 612, \"b\": -5, \"c\": -787, \"d\": -48}", "seed": "4994628221254966760", "semantic_fingerprint": "sha256:cdba8eecd50e19ef63662a1551355dc61f09c4106471d0ad18bf355b58af8d98", "generator_version": "3.0"}
{"id": "v3_val_00002951", "prompt": "What is 33 * ((-48 - (-31)) * (-27)) - (-2)?", "solution_steps": ["Subtract: -48 - (-31) = -17", "Multiply: -17 * (-27) = 459", "Multiply: 33 * 459 = 15147", "Subtract: 15147 - (-2) = 15149"], "final_answer": "15149", "answer_type": "integer", "kind": "expression", "math_text": "33 * ((-48 - (-31)) * (-27)) - (-2)", "variable": null, "family": "expression_4op", "shape": "(- (* n (* (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": -48, \"c\": -31, \"d\": -27, \"e\": -2}", "seed": "18404209223718172561", "semantic_fingerprint": "sha256:ed882b079f1bd11bebf6a04ac555ae823eb784c63473b7d312f140aa3f67e60a", "generator_version": "3.0"}
{"id": "v3_val_00002952", "prompt": "What is (78 + (-64)) / 488?", "solution_steps": ["Add: 78 + (-64) = 14", "Divide: 14 / 488 = 7/244"], "final_answer": "7/244", "answer_type": "rational", "kind": "expression", "math_text": "(78 + (-64)) / 488", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -64, \"c\": 488}", "seed": "10089595902252048660", "semantic_fingerprint": "sha256:62de95336916e7d137874510d54255bc9df97b3d9ac17d4f18328a4282e4b578", "generator_version": "3.0"}
{"id": "v3_val_00002953", "prompt": "What is (973 + 1) / 473 - (7 - (-909))?", "solution_steps": ["Add: 973 + 1 = 974", "Divide: 974 / 473 = 974/473", "Subtract: 7 - (-909) = 916", "Subtract: 974/473 - 916 = -432294/473"], "final_answer": "-432294/473", "answer_type": "rational", "kind": "expression", "math_text": "(973 + 1) / 473 - (7 - (-909))", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 973, \"b\": 1, \"c\": 473, \"d\": 7, \"e\": -909}", "seed": "16562485861220497236", "semantic_fingerprint": "sha256:862b689c539cba51f5a1fcdda4164e6f3d7211fc73695771cdb85e909e1fb270", "generator_version": "3.0"}
{"id": "v3_val_00002954", "prompt": "Compute: -99 * (-5)", "solution_steps": ["Multiply: -99 * (-5) = 495"], "final_answer": "495", "answer_type": "integer", "kind": "expression", "math_text": "-99 * (-5)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -5}", "seed": "13203102795025378477", "semantic_fingerprint": "sha256:c7336d0561dfe1f0fdfe5fde945e8874337decb193cf4edb7a79bf5e6b6b28a1", "generator_version": "3.0"}
{"id": "v3_val_00002955", "prompt": "Solve for x: x = -9(x + 75) + 575", "solution_steps": ["Expand: x = -9x - 675 + 575", "Combine constants: x = -9x - 100", "Add 9x to both sides: 10x = -100", "Divide both sides by 10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -9(x + 75) + 575", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 75, \"d\": 575, \"x\": -10}", "seed": "15427678394364264040", "semantic_fingerprint": "sha256:d813f1727a80f7095591acd39ee3f6712fec4bdb29c5f4be5eb74422aec623d8", "generator_version": "3.0"}
{"id": "v3_val_00002956", "prompt": "Compute: -1 - (-49 - 516)", "solution_steps": ["Subtract: -49 - 516 = -565", "Subtract: -1 - (-565) = 564"], "final_answer": "564", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-49 - 516)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -49, \"c\": 516}", "seed": "8440833982391375711", "semantic_fingerprint": "sha256:b63a7828f6709b3221938efa33dc6fd15b9d077022a57785be1fd5b7eab34fc2", "generator_version": "3.0"}
{"id": "v3_val_00002957", "prompt": "Solve the equation 2x = x - 8 for x.", "solution_steps": ["Subtract x from both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = x - 8", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8}", "seed": "1549272310181060124", "semantic_fingerprint": "sha256:4be26cd937c4e61c3ab4e0ae4396cee7e1e42a3ac9ccc498c30e99bde212919f", "generator_version": "3.0"}
{"id": "v3_val_00002958", "prompt": "Solve the equation 4x - 15 = x - 30 for x.", "solution_steps": ["Subtract x from both sides: 3x - 15 = -30", "Add 15 to both sides: 3x = -15", "Divide both sides by 3: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 15 = x - 30", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 15, \"d\": -30, \"x\": -5}", "seed": "1650575049361336099", "semantic_fingerprint": "sha256:a3b7a2f5f65de5fbbbbfa2ce92004f0c146f515204a7484a04e7be0237764f6d", "generator_version": "3.0"}
{"id": "v3_val_00002959", "prompt": "Solve the equation 2(x + 671) = 10x for x.", "solution_steps": ["Expand: 2x + 1342 = 10x", "Subtract 10x from both sides: -8x + 1342 = 0", "Subtract 1342 from both sides: -8x = -1342", "Divide both sides by -8: x = 671/4"], "final_answer": "671/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 671) = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 671, \"c\": 10}", "seed": "10542127853498851090", "semantic_fingerprint": "sha256:de0b5b0d80c29fe7b6172460a40f97724458d67f904053c90db36872f8c16788", "generator_version": "3.0"}
{"id": "v3_val_00002960", "prompt": "What is -1 * 7 + (-5 - (-538)) + (-752)?", "solution_steps": ["Multiply: -1 * 7 = -7", "Subtract: -5 - (-538) = 533", "Add: -7 + 533 = 526", "Add: 526 + (-752) = -226"], "final_answer": "-226", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 7 + (-5 - (-538)) + (-752)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 7, \"c\": -5, \"d\": -538, \"e\": -752}", "seed": "3983190326057946655", "semantic_fingerprint": "sha256:fbb0d0a2a9d2d952944d789a3bb38af74d584d2960544e56cb173dc25d41b297", "generator_version": "3.0"}
{"id": "v3_val_00002961", "prompt": "What is (-1 - (-116)) / (-3 * (-482 - 956))?", "solution_steps": ["Subtract: -1 - (-116) = 115", "Subtract: -482 - 956 = -1438", "Multiply: -3 * (-1438) = 4314", "Divide: 115 / 4314 = 115/4314"], "final_answer": "115/4314", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (-116)) / (-3 * (-482 - 956))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -116, \"c\": -3, \"d\": -482, \"e\": 956}", "seed": "7637667596976442974", "semantic_fingerprint": "sha256:77580a7d4d3aa9a6f6fda331b7ce75a04b691eb442f66d172703e18256cdb2d3", "generator_version": "3.0"}
{"id": "v3_val_00002962", "prompt": "Find x: x - 4 = -2(x + 9) - 40", "solution_steps": ["Expand: x - 4 = -2x - 18 - 40", "Combine constants: x - 4 = -2x - 58", "Add 2x to both sides: 3x - 4 = -58", "Add 4 to both sides: 3x = -54", "Divide both sides by 3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = -2(x + 9) - 40", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -2, \"c\": 9, \"e\": -40, \"x\": -18}", "seed": "10784817051560172944", "semantic_fingerprint": "sha256:b9d3b5d9c4f661931787a065f029a3245d6895b8bd0eac5b5f800e14601bb60c", "generator_version": "3.0"}
{"id": "v3_val_00002963", "prompt": "Evaluate: 13 * (-2) * (-88)", "solution_steps": ["Multiply: 13 * (-2) = -26", "Multiply: -26 * (-88) = 2288"], "final_answer": "2288", "answer_type": "integer", "kind": "expression", "math_text": "13 * (-2) * (-88)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -2, \"c\": -88}", "seed": "11153902865234539840", "semantic_fingerprint": "sha256:9b0f2f37971fff76d1ad83aeb400b35766ebb18f69d9057d0897384cf319dbe6", "generator_version": "3.0"}
{"id": "v3_val_00002964", "prompt": "Solve the equation 11x = 220 for x.", "solution_steps": ["Divide both sides by 11: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 220", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 220, \"x\": 20}", "seed": "4327949373329895424", "semantic_fingerprint": "sha256:a78c470806ae1f1abdcf66f9efc90f69ebab9160ab81e9a2910f63e2faf7e7ad", "generator_version": "3.0"}
{"id": "v3_val_00002965", "prompt": "Compute: 194 + (-49) + (-74 + (-5))", "solution_steps": ["Add: 194 + (-49) = 145", "Add: -74 + (-5) = -79", "Add: 145 + (-79) = 66"], "final_answer": "66", "answer_type": "integer", "kind": "expression", "math_text": "194 + (-49) + (-74 + (-5))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 194, \"b\": -49, \"c\": -74, \"d\": -5}", "seed": "8361648028080979479", "semantic_fingerprint": "sha256:f04774a25731f3fe6552ee1332497a7794948c4c125128b0d69410da1fa3d991", "generator_version": "3.0"}
{"id": "v3_val_00002966", "prompt": "Compute: -8 + 634 - (-71 + (-59)) * (-85)", "solution_steps": ["Add: -8 + 634 = 626", "Add: -71 + (-59) = -130", "Multiply: -130 * (-85) = 11050", "Subtract: 626 - 11050 = -10424"], "final_answer": "-10424", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 634 - (-71 + (-59)) * (-85)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 634, \"c\": -71, \"d\": -59, \"e\": -85}", "seed": "16507418904969203495", "semantic_fingerprint": "sha256:d1715485b59b39f9f4e43107f2049f2dd9ea8375b08298e15fb582a16e93638a", "generator_version": "3.0"}
{"id": "v3_val_00002967", "prompt": "Evaluate: 5 / 17 * (-7 - (-183)) - (-798)", "solution_steps": ["Divide: 5 / 17 = 5/17", "Subtract: -7 - (-183) = 176", "Multiply: (5/17) * 176 = 880/17", "Subtract: 880/17 - (-798) = 14446/17"], "final_answer": "14446/17", "answer_type": "rational", "kind": "expression", "math_text": "5 / 17 * (-7 - (-183)) - (-798)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 17, \"c\": -7, \"d\": -183, \"e\": -798}", "seed": "6371791698839797329", "semantic_fingerprint": "sha256:7e316a091218019b2bdace2774b6f337da2a38774474015b10dd56db92b03c8d", "generator_version": "3.0"}
{"id": "v3_val_00002968", "prompt": "Evaluate: 3 - 0 + 526", "solution_steps": ["Subtract: 3 - 0 = 3", "Add: 3 + 526 = 529"], "final_answer": "529", "answer_type": "integer", "kind": "expression", "math_text": "3 - 0 + 526", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 0, \"c\": 526}", "seed": "5805209773725177555", "semantic_fingerprint": "sha256:278f7bc81a92d39606be25902c26f452adc908dac774bd468fa769961def55aa", "generator_version": "3.0"}
{"id": "v3_val_00002969", "prompt": "What is 2 + (-849) - 12 * (-660)?", "solution_steps": ["Add: 2 + (-849) = -847", "Multiply: 12 * (-660) = -7920", "Subtract: -847 - (-7920) = 7073"], "final_answer": "7073", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-849) - 12 * (-660)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -849, \"c\": 12, \"d\": -660}", "seed": "12746296782279202027", "semantic_fingerprint": "sha256:13a7b4716adcb3aa7b65804f76de6c13bb12828217eef998acbf7fb19c58384c", "generator_version": "3.0"}
{"id": "v3_val_00002970", "prompt": "Solve the equation 10(x + 7) + 11 = x for x.", "solution_steps": ["Expand: 10x + 70 + 11 = x", "Combine constants: 10x + 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": "10(x + 7) + 11 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"d\": 11, \"x\": -9}", "seed": "538442434781041765", "semantic_fingerprint": "sha256:374ccebb766a1ea00020974b076beeeaca927e15457b1e1472d74700ddb204b1", "generator_version": "3.0"}
{"id": "v3_val_00002971", "prompt": "Find x: x - 36 = 4x - 78", "solution_steps": ["Subtract 4x from both sides: -3x - 36 = -78", "Add 36 to both sides: -3x = -42", "Divide both sides by -3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 36 = 4x - 78", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 4, \"d\": -78, \"x\": 14}", "seed": "18067083235595793345", "semantic_fingerprint": "sha256:ea69a2bfe1ac3dbcbab9afea51ca9cb859fe7abb222137fa6ebb0d526c48d48c", "generator_version": "3.0"}
{"id": "v3_val_00002972", "prompt": "What is -78 / (-8 + (-3))?", "solution_steps": ["Add: -8 + (-3) = -11", "Divide: -78 / (-11) = 78/11"], "final_answer": "78/11", "answer_type": "rational", "kind": "expression", "math_text": "-78 / (-8 + (-3))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -8, \"c\": -3}", "seed": "3469866583157238384", "semantic_fingerprint": "sha256:f06d5570c2b01f43e19ec00c96484da303f4902eac8d4ccc2d484b2026b338cd", "generator_version": "3.0"}
{"id": "v3_val_00002973", "prompt": "What value of x satisfies 6(x + 186) = 7(x - 77)?", "solution_steps": ["Expand: 6x + 1116 = 7(x - 77)", "Expand: 6x + 1116 = 7x - 539", "Subtract 7x from both sides: -x + 1116 = -539", "Subtract 1116 from both sides: -x = -1655", "Divide both sides by -1: x = 1655"], "final_answer": "1655", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 186) = 7(x - 77)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 186, \"c\": 7, \"d\": 77}", "seed": "17125078503026426964", "semantic_fingerprint": "sha256:cd6435b86b476cf7a60aa38f437bd73a162e0197ba453d103c1e1954a31b13c2", "generator_version": "3.0"}
{"id": "v3_val_00002974", "prompt": "Evaluate: 609 / (-106 / 26)", "solution_steps": ["Divide: -106 / 26 = -53/13", "Divide: 609 / (-53/13) = -7917/53"], "final_answer": "-7917/53", "answer_type": "rational", "kind": "expression", "math_text": "609 / (-106 / 26)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 609, \"b\": -106, \"c\": 26}", "seed": "6598839499556317097", "semantic_fingerprint": "sha256:7970910554e49152100a4c80bb794cded2c4618ca96c3d59528d00f011be88db", "generator_version": "3.0"}
{"id": "v3_val_00002975", "prompt": "Evaluate: 59 - (-13)", "solution_steps": ["Subtract: 59 - (-13) = 72"], "final_answer": "72", "answer_type": "integer", "kind": "expression", "math_text": "59 - (-13)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -13}", "seed": "10283112241561637900", "semantic_fingerprint": "sha256:7b3be9deef1e3e0d50cf06731d0b0762decf77d3ac78081235801d7e58833407", "generator_version": "3.0"}
{"id": "v3_val_00002976", "prompt": "Solve the equation -6(x - 3) = -5(x - 7) + 612 for x.", "solution_steps": ["Expand: -6x + 18 = -5(x - 7) + 612", "Expand: -6x + 18 = -5x + 35 + 612", "Combine constants: -6x + 18 = -5x + 647", "Add 5x to both sides: -x + 18 = 647", "Subtract 18 from both sides: -x = 629", "Divide both sides by -1: x = -629"], "final_answer": "-629", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 3) = -5(x - 7) + 612", "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\": 7, \"e\": 612}", "seed": "2061039465668587337", "semantic_fingerprint": "sha256:8c511c25b25d25088111d480b69d988adb573cd876f0de9332d8cb85dcf3637a", "generator_version": "3.0"}
{"id": "v3_val_00002977", "prompt": "What is 8 + ((94 - 204) * 36 + (-32))?", "solution_steps": ["Subtract: 94 - 204 = -110", "Multiply: -110 * 36 = -3960", "Add: -3960 + (-32) = -3992", "Add: 8 + (-3992) = -3984"], "final_answer": "-3984", "answer_type": "integer", "kind": "expression", "math_text": "8 + ((94 - 204) * 36 + (-32))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 94, \"c\": 204, \"d\": 36, \"e\": -32}", "seed": "16559807649339200288", "semantic_fingerprint": "sha256:124d21e667ccde307ce139c35e24cce4d3740fee1d988f676f97190551048bbc", "generator_version": "3.0"}
{"id": "v3_val_00002978", "prompt": "Compute: -2 + 419", "solution_steps": ["Add: -2 + 419 = 417"], "final_answer": "417", "answer_type": "integer", "kind": "expression", "math_text": "-2 + 419", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 419}", "seed": "13163776473061907791", "semantic_fingerprint": "sha256:4f2da35b05878ca9334b8539db90d166ff8490e585d0eacfcdeaff49c681a97b", "generator_version": "3.0"}
{"id": "v3_val_00002979", "prompt": "Solve for x: 6(x - 3) + 18 = 54", "solution_steps": ["Expand: 6x - 18 + 18 = 54", "Combine constants: 6x = 54", "Divide both sides by 6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) + 18 = 54", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 18, \"e\": 54, \"x\": 9}", "seed": "10988585297862980194", "semantic_fingerprint": "sha256:edd613e439570b3e6dbbfcd49bb8a43a2fe194ba5141a4fcf27f666a3d733bd9", "generator_version": "3.0"}
{"id": "v3_val_00002980", "prompt": "Compute: -6 * (1 * (-23) * 8)", "solution_steps": ["Multiply: 1 * (-23) = -23", "Multiply: -23 * 8 = -184", "Multiply: -6 * (-184) = 1104"], "final_answer": "1104", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (1 * (-23) * 8)", "variable": null, "family": "expression_3op", "shape": "(* n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 1, \"c\": -23, \"d\": 8}", "seed": "5823000087340756907", "semantic_fingerprint": "sha256:d1deb802749d9cc47d28b232551344516a012230e33f8dcedbb44cc802197230", "generator_version": "3.0"}
{"id": "v3_val_00002981", "prompt": "Compute: 6 * 7 - (-72)", "solution_steps": ["Multiply: 6 * 7 = 42", "Subtract: 42 - (-72) = 114"], "final_answer": "114", "answer_type": "integer", "kind": "expression", "math_text": "6 * 7 - (-72)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": -72}", "seed": "3918655521815544870", "semantic_fingerprint": "sha256:f4d694fc6100a2063b72802770a35d7cc44fe02fad953ea35ec45fdc87c8496d", "generator_version": "3.0"}
{"id": "v3_val_00002982", "prompt": "Compute: -25 * (-4 * (-46) + (966 / (-36) + (-3)))", "solution_steps": ["Multiply: -4 * (-46) = 184", "Divide: 966 / (-36) = -161/6", "Add: -161/6 + (-3) = -179/6", "Add: 184 + (-179/6) = 925/6", "Multiply: -25 * (925/6) = -23125/6"], "final_answer": "-23125/6", "answer_type": "rational", "kind": "expression", "math_text": "-25 * (-4 * (-46) + (966 / (-36) + (-3)))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (* n n) (+ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -4, \"c\": -46, \"d\": 966, \"e\": -36, \"f\": -3}", "seed": "13419510385571348841", "semantic_fingerprint": "sha256:351c36648253e6cf0c2caeac2709004c902a662ada46f47f8ce012737bb53318", "generator_version": "3.0"}
{"id": "v3_val_00002983", "prompt": "Evaluate: -38 + 46 + (1 + (6 - 21))", "solution_steps": ["Add: -38 + 46 = 8", "Subtract: 6 - 21 = -15", "Add: 1 + (-15) = -14", "Add: 8 + (-14) = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "-38 + 46 + (1 + (6 - 21))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 46, \"c\": 1, \"d\": 6, \"e\": 21}", "seed": "5283527692389222784", "semantic_fingerprint": "sha256:fb0036f2d917c9f554255ec47b1c4efaf4c475ff8ea8bedecc15c04efbff0114", "generator_version": "3.0"}
{"id": "v3_val_00002984", "prompt": "Calculate: -93 + (-3)", "solution_steps": ["Add: -93 + (-3) = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "expression", "math_text": "-93 + (-3)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -3}", "seed": "10814226143965884270", "semantic_fingerprint": "sha256:cb796bce366b37166c2ad4fd9a613f5c3d9186d0632e757eff3d0c3d0be11fde", "generator_version": "3.0"}
{"id": "v3_val_00002985", "prompt": "Compute: -9 - 48 + (-95) - 6 * (-94)", "solution_steps": ["Subtract: -9 - 48 = -57", "Add: -57 + (-95) = -152", "Multiply: 6 * (-94) = -564", "Subtract: -152 - (-564) = 412"], "final_answer": "412", "answer_type": "integer", "kind": "expression", "math_text": "-9 - 48 + (-95) - 6 * (-94)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 48, \"c\": -95, \"d\": 6, \"e\": -94}", "seed": "9436118323186126406", "semantic_fingerprint": "sha256:2b13fc565089df28c64874d47c30204a1719e10a4bcfbebfe7ae1bee3793d642", "generator_version": "3.0"}
{"id": "v3_val_00002986", "prompt": "What value of x satisfies -6x = -7x?", "solution_steps": ["Add 7x to both sides: 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": "12741635669109601339", "semantic_fingerprint": "sha256:80dcb4a1f78566b75f8fa45986123c95a779ac15b72902b91e6606e35b5266dc", "generator_version": "3.0"}
{"id": "v3_val_00002987", "prompt": "Solve for x: x + 1 = -1", "solution_steps": ["Subtract 1 from both sides: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1 = -1", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"c\": -1, \"x\": -2}", "seed": "18394428929744065262", "semantic_fingerprint": "sha256:8c2f2d5fe3225e6c1ff10bb907a8078a48331f09cab69dad37d2f0a149dc502b", "generator_version": "3.0"}
{"id": "v3_val_00002988", "prompt": "Solve the equation 11x - 5 = 10x for x.", "solution_steps": ["Subtract 10x from both sides: x - 5 = 0", "Add 5 to both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 5 = 10x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 10}", "seed": "10659443169517432332", "semantic_fingerprint": "sha256:30cfc60b73e689d0a4760a72def40f8d102105fb4ba8efd8e8c2702a292b3cd0", "generator_version": "3.0"}
{"id": "v3_val_00002989", "prompt": "What value of x satisfies -8(x - 1) + 8 = 2(x + 416) + 29?", "solution_steps": ["Expand: -8x + 8 + 8 = 2(x + 416) + 29", "Expand: -8x + 8 + 8 = 2x + 832 + 29", "Combine constants: -8x + 16 = 2x + 832 + 29", "Combine constants: -8x + 16 = 2x + 861", "Subtract 2x from both sides: -10x + 16 = 861", "Subtract 16 from both sides: -10x = 845", "Divide both sides by -10: x = -169/2"], "final_answer": "-169/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 1) + 8 = 2(x + 416) + 29", "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\": 8, \"d\": 2, \"e\": 416, \"f\": 29}", "seed": "6327357510291763407", "semantic_fingerprint": "sha256:21c24d50ceafa573cbf8ee2558a107f2ae91a1b2b7d202500ecce8782db37f6b", "generator_version": "3.0"}
{"id": "v3_val_00002990", "prompt": "Solve the equation 2(x - 6) + 73 = 4(x + 2) + 45 for x.", "solution_steps": ["Expand: 2x - 12 + 73 = 4(x + 2) + 45", "Expand: 2x - 12 + 73 = 4x + 8 + 45", "Combine constants: 2x + 61 = 4x + 8 + 45", "Combine constants: 2x + 61 = 4x + 53", "Subtract 4x from both sides: -2x + 61 = 53", "Subtract 61 from both sides: -2x = -8", "Divide both sides by -2: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 6) + 73 = 4(x + 2) + 45", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 73, \"d\": 4, \"e\": 2, \"g\": 45, \"x\": 4}", "seed": "14528852688483298247", "semantic_fingerprint": "sha256:555bbc5eac6e7e46c92d837b503ff1ef11b3756fc74e394d10e6bf977e8a2b2f", "generator_version": "3.0"}
{"id": "v3_val_00002991", "prompt": "Evaluate: 244 - (-176) / 80", "solution_steps": ["Divide: -176 / 80 = -11/5", "Subtract: 244 - (-11/5) = 1231/5"], "final_answer": "1231/5", "answer_type": "rational", "kind": "expression", "math_text": "244 - (-176) / 80", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 244, \"b\": -176, \"c\": 80}", "seed": "740604499107126405", "semantic_fingerprint": "sha256:58fcc3b243d1230f5c837f6eabe7f1f6676519e30d80e5f5f3cfbf400a06c12b", "generator_version": "3.0"}
{"id": "v3_val_00002992", "prompt": "What is (-75 + (-5)) * 14 + 97?", "solution_steps": ["Add: -75 + (-5) = -80", "Multiply: -80 * 14 = -1120", "Add: -1120 + 97 = -1023"], "final_answer": "-1023", "answer_type": "integer", "kind": "expression", "math_text": "(-75 + (-5)) * 14 + 97", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -5, \"c\": 14, \"d\": 97}", "seed": "10874496180269683124", "semantic_fingerprint": "sha256:a655e17c98482b12de780ce049212b4331128f22af428317673ae211d860abb6", "generator_version": "3.0"}
{"id": "v3_val_00002993", "prompt": "Evaluate: -12 + (-83 + 22) + (30 - 90)", "solution_steps": ["Add: -83 + 22 = -61", "Add: -12 + (-61) = -73", "Subtract: 30 - 90 = -60", "Add: -73 + (-60) = -133"], "final_answer": "-133", "answer_type": "integer", "kind": "expression", "math_text": "-12 + (-83 + 22) + (30 - 90)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -83, \"c\": 22, \"d\": 30, \"e\": 90}", "seed": "3608230906848741342", "semantic_fingerprint": "sha256:121c442e6e797bbd9c0753ce132340b848b0640515c65759a8833065ce8cd1f4", "generator_version": "3.0"}
{"id": "v3_val_00002994", "prompt": "Compute: -475 - 5", "solution_steps": ["Subtract: -475 - 5 = -480"], "final_answer": "-480", "answer_type": "integer", "kind": "expression", "math_text": "-475 - 5", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -475, \"b\": 5}", "seed": "13172710721801732571", "semantic_fingerprint": "sha256:e1a3ff6eb4669b54bdcfb7a836a628c1428c3fb8a04e178c2083dcb92b53db82", "generator_version": "3.0"}
{"id": "v3_val_00002995", "prompt": "Solve the equation 5(x - 8) + 5 = 4x - 26 for x.", "solution_steps": ["Expand: 5x - 40 + 5 = 4x - 26", "Combine constants: 5x - 35 = 4x - 26", "Subtract 4x from both sides: x - 35 = -26", "Add 35 to both sides: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 8) + 5 = 4x - 26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 5, \"d\": 4, \"f\": -26, \"x\": 9}", "seed": "18023012785848675645", "semantic_fingerprint": "sha256:f4484476663c9228c1b0b4b279475a0f31bb5b9907c40a0b00119f82493a9a12", "generator_version": "3.0"}
{"id": "v3_val_00002996", "prompt": "Evaluate: -80 + (-989 + (-417)) + 67", "solution_steps": ["Add: -989 + (-417) = -1406", "Add: -80 + (-1406) = -1486", "Add: -1486 + 67 = -1419"], "final_answer": "-1419", "answer_type": "integer", "kind": "expression", "math_text": "-80 + (-989 + (-417)) + 67", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -989, \"c\": -417, \"d\": 67}", "seed": "1307011334689078740", "semantic_fingerprint": "sha256:d17926a487015f796f36d44d03d9ef4a89be33b558b338135201da837a17ee3a", "generator_version": "3.0"}
{"id": "v3_val_00002997", "prompt": "Evaluate: -76 * (-49) - (-626 - 95)", "solution_steps": ["Multiply: -76 * (-49) = 3724", "Subtract: -626 - 95 = -721", "Subtract: 3724 - (-721) = 4445"], "final_answer": "4445", "answer_type": "integer", "kind": "expression", "math_text": "-76 * (-49) - (-626 - 95)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": -49, \"c\": -626, \"d\": 95}", "seed": "9336848096730683977", "semantic_fingerprint": "sha256:262a206c23f59b06c30e60d2746337a4ced18b0da49035e521ca5048c9c578f3", "generator_version": "3.0"}
{"id": "v3_val_00002998", "prompt": "Solve the equation -8x - 12 = x + 141 for x.", "solution_steps": ["Subtract x from both sides: -9x - 12 = 141", "Add 12 to both sides: -9x = 153", "Divide both sides by -9: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 12 = x + 141", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 12, \"d\": 141, \"x\": -17}", "seed": "8051972839566485474", "semantic_fingerprint": "sha256:edbd2b3e46bc47eb09ec4cf544f4769ac62216868165b6ea58c466ed95237837", "generator_version": "3.0"}
{"id": "v3_val_00002999", "prompt": "Solve for x: 12x = 4x - 40", "solution_steps": ["Subtract 4x from both sides: 8x = -40", "Divide both sides by 8: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 4x - 40", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"d\": -40, \"x\": -5}", "seed": "4561047081690799325", "semantic_fingerprint": "sha256:4c964174b27542e7c11e1710a0537783ab13aaa227103bfd202026979d4647ca", "generator_version": "3.0"}
{"id": "v3_val_00003000", "prompt": "What is 3 * (-32 * 796)?", "solution_steps": ["Multiply: -32 * 796 = -25472", "Multiply: 3 * (-25472) = -76416"], "final_answer": "-76416", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-32 * 796)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -32, \"c\": 796}", "seed": "672605709821263011", "semantic_fingerprint": "sha256:b2c68c282c41784e1f2e1985abb58f47457be17932eadd305a65421eec739fda", "generator_version": "3.0"}
{"id": "v3_val_00003001", "prompt": "Find x: -2x + 5 = 2(x + 1) + 23", "solution_steps": ["Expand: -2x + 5 = 2x + 2 + 23", "Combine constants: -2x + 5 = 2x + 25", "Subtract 2x from both sides: -4x + 5 = 25", "Subtract 5 from both sides: -4x = 20", "Divide both sides by -4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x + 5 = 2(x + 1) + 23", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": 2, \"d\": 1, \"f\": 23, \"x\": -5}", "seed": "12815427447824293425", "semantic_fingerprint": "sha256:73bff174b45f88ea6071064353e6689711b05b689db25cfe3dea5a79b64cc3f5", "generator_version": "3.0"}
{"id": "v3_val_00003002", "prompt": "Solve for x: -7(x - 23) + 3 = 255", "solution_steps": ["Expand: -7x + 161 + 3 = 255", "Combine constants: -7x + 164 = 255", "Subtract 164 from both sides: -7x = 91", "Divide both sides by -7: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 23) + 3 = 255", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 23, \"c\": 3, \"e\": 255, \"x\": -13}", "seed": "3355505216245184053", "semantic_fingerprint": "sha256:2dc82f00235593cf0b0ff966a9d032018f5c8bca4b31c284b4a5f51a494e4200", "generator_version": "3.0"}
{"id": "v3_val_00003003", "prompt": "Evaluate: -43 - (-35) * 0", "solution_steps": ["Multiply: -35 * 0 = 0", "Subtract: -43 - 0 = -43"], "final_answer": "-43", "answer_type": "integer", "kind": "expression", "math_text": "-43 - (-35) * 0", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -35, \"c\": 0}", "seed": "5242749697207679181", "semantic_fingerprint": "sha256:383ced9d1b6cd04e7f71a88896019b7cef0c5bea28bd5ff4d626b762c8306a7c", "generator_version": "3.0"}
{"id": "v3_val_00003004", "prompt": "Solve the equation 8(x - 20) = 12(x - 494) + 9 for x.", "solution_steps": ["Expand: 8x - 160 = 12(x - 494) + 9", "Expand: 8x - 160 = 12x - 5928 + 9", "Combine constants: 8x - 160 = 12x - 5919", "Subtract 12x from both sides: -4x - 160 = -5919", "Add 160 to both sides: -4x = -5759", "Divide both sides by -4: x = 5759/4"], "final_answer": "5759/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 20) = 12(x - 494) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 20, \"c\": 12, \"d\": 494, \"e\": 9}", "seed": "7428836665518630222", "semantic_fingerprint": "sha256:667e4cd6c617ab9acbb863d8287eb9426ae3c0b47b482a86ac6394c8ba193e7d", "generator_version": "3.0"}
{"id": "v3_val_00003005", "prompt": "What is -91 - (61 - (-8) / (-71 - (-1)))?", "solution_steps": ["Subtract: -71 - (-1) = -70", "Divide: -8 / (-70) = 4/35", "Subtract: 61 - 4/35 = 2131/35", "Subtract: -91 - 2131/35 = -5316/35"], "final_answer": "-5316/35", "answer_type": "rational", "kind": "expression", "math_text": "-91 - (61 - (-8) / (-71 - (-1)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (/ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 61, \"c\": -8, \"d\": -71, \"e\": -1}", "seed": "1381994497392210133", "semantic_fingerprint": "sha256:c2711939885d5e0ad0dd348facba8f1857c09c7d6fd8ae97aba4c9143bb1f844", "generator_version": "3.0"}
{"id": "v3_val_00003006", "prompt": "Find x: 12x + 9 = 8(x + 3) - 47", "solution_steps": ["Expand: 12x + 9 = 8x + 24 - 47", "Combine constants: 12x + 9 = 8x - 23", "Subtract 8x from both sides: 4x + 9 = -23", "Subtract 9 from both sides: 4x = -32", "Divide both sides by 4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 9 = 8(x + 3) - 47", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 8, \"d\": 3, \"f\": -47, \"x\": -8}", "seed": "11254941422128317414", "semantic_fingerprint": "sha256:52e8fb50980a6c9e3004447777e5f3f6a7eb1c63cc930b8657a83df2e4bac20f", "generator_version": "3.0"}
{"id": "v3_val_00003007", "prompt": "Find x: x + 5 = -95", "solution_steps": ["Subtract 5 from both sides: x = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5 = -95", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -95}", "seed": "4885741186408296619", "semantic_fingerprint": "sha256:57c03679c3a1dad74d3de8cd17b22d20c4ebbc77987a239444d4c7ff01aca49e", "generator_version": "3.0"}
{"id": "v3_val_00003008", "prompt": "Calculate: -68 + 152", "solution_steps": ["Add: -68 + 152 = 84"], "final_answer": "84", "answer_type": "integer", "kind": "expression", "math_text": "-68 + 152", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 152}", "seed": "17466025090404902323", "semantic_fingerprint": "sha256:2dced6f807e1eeb9afe4ccdcf655cb700fc6af0826e855126c58c093c21e626e", "generator_version": "3.0"}
{"id": "v3_val_00003009", "prompt": "Calculate: -5 + (-3)", "solution_steps": ["Add: -5 + (-3) = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-3)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -3}", "seed": "17465273902954725590", "semantic_fingerprint": "sha256:17adb7206a9c21fe941a79c34ed8a19cbee827ecfa8c5e21a26444bd83350071", "generator_version": "3.0"}
{"id": "v3_val_00003010", "prompt": "Solve the equation x + 1 = 4(x - 14) for x.", "solution_steps": ["Expand: x + 1 = 4x - 56", "Subtract 4x from both sides: -3x + 1 = -56", "Subtract 1 from both sides: -3x = -57", "Divide both sides by -3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1 = 4(x - 14)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 14, \"d\": 1, \"x\": 19}", "seed": "10707998650446132930", "semantic_fingerprint": "sha256:0b4ba2cd5d2531f29d3154c2b5dcc16ddceac942eab18894020e87360095be9d", "generator_version": "3.0"}
{"id": "v3_val_00003011", "prompt": "What value of x satisfies -10(x + 7) - 7 = 3x - 77?", "solution_steps": ["Expand: -10x - 70 - 7 = 3x - 77", "Combine constants: -10x - 77 = 3x - 77", "Subtract 3x from both sides: -13x - 77 = -77", "Add 77 to both sides: -13x = 0", "Divide both sides by -13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 7) - 7 = 3x - 77", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 7, \"d\": 3, \"f\": -77, \"x\": 0}", "seed": "8393339282914082172", "semantic_fingerprint": "sha256:678863af321f679fb33ec706c39835e13d43dadcb4440f656137943f28177961", "generator_version": "3.0"}
{"id": "v3_val_00003012", "prompt": "Evaluate: 22 + (-84 + 5)", "solution_steps": ["Add: -84 + 5 = -79", "Add: 22 + (-79) = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "expression", "math_text": "22 + (-84 + 5)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -84, \"c\": 5}", "seed": "15667807292334292910", "semantic_fingerprint": "sha256:29460602ac6973105e27457b0bd518674dab08fc93fb731781ca23a28934992d", "generator_version": "3.0"}
{"id": "v3_val_00003013", "prompt": "What is (2 + 52) / (-90 + 405 * (66 * (-2)))?", "solution_steps": ["Add: 2 + 52 = 54", "Multiply: 66 * (-2) = -132", "Multiply: 405 * (-132) = -53460", "Add: -90 + (-53460) = -53550", "Divide: 54 / (-53550) = -3/2975"], "final_answer": "-3/2975", "answer_type": "rational", "kind": "expression", "math_text": "(2 + 52) / (-90 + 405 * (66 * (-2)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (+ n (* n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 52, \"c\": -90, \"d\": 405, \"e\": 66, \"f\": -2}", "seed": "17416045716468931650", "semantic_fingerprint": "sha256:5920dad13a31665aa6a3afdc22ae6737792997e674a594a0d77d0fe321ad8999", "generator_version": "3.0"}
{"id": "v3_val_00003014", "prompt": "Compute: 41 + 851", "solution_steps": ["Add: 41 + 851 = 892"], "final_answer": "892", "answer_type": "integer", "kind": "expression", "math_text": "41 + 851", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 851}", "seed": "14368521021330978607", "semantic_fingerprint": "sha256:ec7719e8136967f7a3bae10d8c668365553585b48a79a743b842f390723a3891", "generator_version": "3.0"}
{"id": "v3_val_00003015", "prompt": "Calculate: -4 * (-4 * (9 + (-668)))", "solution_steps": ["Add: 9 + (-668) = -659", "Multiply: -4 * (-659) = 2636", "Multiply: -4 * 2636 = -10544"], "final_answer": "-10544", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-4 * (9 + (-668)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -4, \"c\": 9, \"d\": -668}", "seed": "10107014566899720000", "semantic_fingerprint": "sha256:7d689fdda7417a1f867187a4976977fb9d139a8941baef226193e69ea0763ba1", "generator_version": "3.0"}
{"id": "v3_val_00003016", "prompt": "What is (-14 - (-5)) * 636?", "solution_steps": ["Subtract: -14 - (-5) = -9", "Multiply: -9 * 636 = -5724"], "final_answer": "-5724", "answer_type": "integer", "kind": "expression", "math_text": "(-14 - (-5)) * 636", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": -5, \"c\": 636}", "seed": "10563741046100728702", "semantic_fingerprint": "sha256:628712c1efbae9172f1e12df844438c7709406fcbe983ba4f8db6a7cbad5e228", "generator_version": "3.0"}
{"id": "v3_val_00003017", "prompt": "Compute: 5 * 32 / (5 / (-805))", "solution_steps": ["Multiply: 5 * 32 = 160", "Divide: 5 / (-805) = -1/161", "Divide: 160 / (-1/161) = -25760"], "final_answer": "-25760", "answer_type": "integer", "kind": "expression", "math_text": "5 * 32 / (5 / (-805))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 32, \"c\": 5, \"d\": -805}", "seed": "9403695136486090041", "semantic_fingerprint": "sha256:6fca53b6fcf227ebe3cdae48a6402fe8ebd289421d47e1f4db50b84104bce8e4", "generator_version": "3.0"}
{"id": "v3_val_00003018", "prompt": "Solve for x: 5(x - 737) = -2(x + 2) - 15", "solution_steps": ["Expand: 5x - 3685 = -2(x + 2) - 15", "Expand: 5x - 3685 = -2x - 4 - 15", "Combine constants: 5x - 3685 = -2x - 19", "Add 2x to both sides: 7x - 3685 = -19", "Add 3685 to both sides: 7x = 3666", "Divide both sides by 7: x = 3666/7"], "final_answer": "3666/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 737) = -2(x + 2) - 15", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 737, \"c\": -2, \"d\": 2, \"e\": 15}", "seed": "6487123577110291668", "semantic_fingerprint": "sha256:d658a40bc90f24f8de8ea7885eb4edaad0bc1b563a735b6c12ddc45f1c914b1c", "generator_version": "3.0"}
{"id": "v3_val_00003019", "prompt": "Find x: x = -4(x - 7)", "solution_steps": ["Expand: x = -4x + 28", "Add 4x 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": "x = -4(x - 7)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7}", "seed": "5791724732164776444", "semantic_fingerprint": "sha256:c0b84ae641dfee28dac8009dfd58d7b1973bf5231786334034684ba8a6070c12", "generator_version": "3.0"}
{"id": "v3_val_00003020", "prompt": "Compute: -580 / (-166 + 8)", "solution_steps": ["Add: -166 + 8 = -158", "Divide: -580 / (-158) = 290/79"], "final_answer": "290/79", "answer_type": "rational", "kind": "expression", "math_text": "-580 / (-166 + 8)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -580, \"b\": -166, \"c\": 8}", "seed": "937642990225349203", "semantic_fingerprint": "sha256:8f8fb724a99cacacc463639abe9027718aeb6ccb10c53c91d93f71e138c56fbc", "generator_version": "3.0"}
{"id": "v3_val_00003021", "prompt": "Compute: 880 + (-566)", "solution_steps": ["Add: 880 + (-566) = 314"], "final_answer": "314", "answer_type": "integer", "kind": "expression", "math_text": "880 + (-566)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 880, \"b\": -566}", "seed": "11606774929668976936", "semantic_fingerprint": "sha256:f64fbbd4c1715298adfbb4e4e02a2b1aff9419f94c93ae7aacfc02d607207643", "generator_version": "3.0"}
{"id": "v3_val_00003022", "prompt": "Compute: -71 - (-94 / (-2) + 79) - (-428)", "solution_steps": ["Divide: -94 / (-2) = 47", "Add: 47 + 79 = 126", "Subtract: -71 - 126 = -197", "Subtract: -197 - (-428) = 231"], "final_answer": "231", "answer_type": "integer", "kind": "expression", "math_text": "-71 - (-94 / (-2) + 79) - (-428)", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -94, \"c\": -2, \"d\": 79, \"e\": -428}", "seed": "4115561725080089376", "semantic_fingerprint": "sha256:34a5e3697023e1d9daeb0c0ce6fb7a87c0917ffb993370fea618304ad8fdcaf7", "generator_version": "3.0"}
{"id": "v3_val_00003023", "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 = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "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, \"d\": -9, \"x\": 0}", "seed": "11445692529934007855", "semantic_fingerprint": "sha256:d40828a7a52cee44e950d78de90bf083fc15f146a2e17d540e495a376c78a6e7", "generator_version": "3.0"}
{"id": "v3_val_00003024", "prompt": "Calculate: -99 - (-1)", "solution_steps": ["Subtract: -99 - (-1) = -98"], "final_answer": "-98", "answer_type": "integer", "kind": "expression", "math_text": "-99 - (-1)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -1}", "seed": "4386037860291670514", "semantic_fingerprint": "sha256:45c23fcbaba405803a57a46cda637ff8047809ee888b35f5f6a05d61b9c1db1b", "generator_version": "3.0"}
{"id": "v3_val_00003025", "prompt": "Compute: -6 / (-606)", "solution_steps": ["Divide: -6 / (-606) = 1/101"], "final_answer": "1/101", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-606)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -606}", "seed": "4004549658756184216", "semantic_fingerprint": "sha256:079a042ebe3fa7f6fe17fc98e067eaba1cc1f5e5d68b64d7bd73f26d8df88940", "generator_version": "3.0"}
{"id": "v3_val_00003026", "prompt": "Compute: -259 - (-848)", "solution_steps": ["Subtract: -259 - (-848) = 589"], "final_answer": "589", "answer_type": "integer", "kind": "expression", "math_text": "-259 - (-848)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -259, \"b\": -848}", "seed": "17639079059015742664", "semantic_fingerprint": "sha256:1ece11e2521fff7153123c7413afa9ee034720b2ed8e89584de2fb901e8ebb8e", "generator_version": "3.0"}
{"id": "v3_val_00003027", "prompt": "What is (-716 + 4) / (-86 / (-22 - (-52) - (-43)))?", "solution_steps": ["Add: -716 + 4 = -712", "Subtract: -22 - (-52) = 30", "Subtract: 30 - (-43) = 73", "Divide: -86 / 73 = -86/73", "Divide: -712 / (-86/73) = 25988/43"], "final_answer": "25988/43", "answer_type": "rational", "kind": "expression", "math_text": "(-716 + 4) / (-86 / (-22 - (-52) - (-43)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (/ n (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -716, \"b\": 4, \"c\": -86, \"d\": -22, \"e\": -52, \"f\": -43}", "seed": "8098075301602285280", "semantic_fingerprint": "sha256:39d9e2cd8c3c9c1769377c63f85b1bfd7cedb1c99c043c6d249605440fee265a", "generator_version": "3.0"}
{"id": "v3_val_00003028", "prompt": "Find x: -2(x - 241) = 10x", "solution_steps": ["Expand: -2x + 482 = 10x", "Subtract 10x from both sides: -12x + 482 = 0", "Subtract 482 from both sides: -12x = -482", "Divide both sides by -12: x = 241/6"], "final_answer": "241/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 241) = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 241, \"c\": 10}", "seed": "1192583637121337466", "semantic_fingerprint": "sha256:a91e9379a2827ec4cae03762788bd6b26f32840fbfa4b0063b75bcf04f89b623", "generator_version": "3.0"}
{"id": "v3_val_00003029", "prompt": "Find x: x = 11(x + 8) - 238", "solution_steps": ["Expand: x = 11x + 88 - 238", "Combine constants: x = 11x - 150", "Subtract 11x from both sides: -10x = -150", "Divide both sides by -10: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 11(x + 8) - 238", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"d\": -238, \"x\": 15}", "seed": "16909372245550252934", "semantic_fingerprint": "sha256:50b096ff923bfedd685e87492428de5642fb6b73c6b7c9b5835e51f7795c79c3", "generator_version": "3.0"}
{"id": "v3_val_00003030", "prompt": "Evaluate: -421 - (-10 + (-89))", "solution_steps": ["Add: -10 + (-89) = -99", "Subtract: -421 - (-99) = -322"], "final_answer": "-322", "answer_type": "integer", "kind": "expression", "math_text": "-421 - (-10 + (-89))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -421, \"b\": -10, \"c\": -89}", "seed": "16594219028991258229", "semantic_fingerprint": "sha256:23cbfd55563f515e11f8290faf370a616e6a4d6a191bbe7c141c092e0db3302f", "generator_version": "3.0"}
{"id": "v3_val_00003031", "prompt": "Find x: 4x + 246 = 3(x - 65) + 461", "solution_steps": ["Expand: 4x + 246 = 3x - 195 + 461", "Combine constants: 4x + 246 = 3x + 266", "Subtract 3x from both sides: x + 246 = 266", "Subtract 246 from both sides: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 246 = 3(x - 65) + 461", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 246, \"c\": 3, \"d\": 65, \"f\": 461, \"x\": 20}", "seed": "14381030219685292545", "semantic_fingerprint": "sha256:5c690ef87a0d54c8a5cbd9e80ac735296f7eb7798bcb203afa2e84e5a2b8d17e", "generator_version": "3.0"}
{"id": "v3_val_00003032", "prompt": "Compute: -5 * 7 / (564 + (-28)) - (1 + (-9))", "solution_steps": ["Multiply: -5 * 7 = -35", "Add: 564 + (-28) = 536", "Divide: -35 / 536 = -35/536", "Add: 1 + (-9) = -8", "Subtract: -35/536 - (-8) = 4253/536"], "final_answer": "4253/536", "answer_type": "rational", "kind": "expression", "math_text": "-5 * 7 / (564 + (-28)) - (1 + (-9))", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 564, \"d\": -28, \"e\": 1, \"f\": -9}", "seed": "10786828974597369360", "semantic_fingerprint": "sha256:96005063eede27e5ae9492a02b0a80831eedb33759ac1153e6ca99792ba4d603", "generator_version": "3.0"}
{"id": "v3_val_00003033", "prompt": "Compute: -468 - (-980 + (-64)) * (-863)", "solution_steps": ["Add: -980 + (-64) = -1044", "Multiply: -1044 * (-863) = 900972", "Subtract: -468 - 900972 = -901440"], "final_answer": "-901440", "answer_type": "integer", "kind": "expression", "math_text": "-468 - (-980 + (-64)) * (-863)", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -468, \"b\": -980, \"c\": -64, \"d\": -863}", "seed": "712425377236618382", "semantic_fingerprint": "sha256:67694211133c98cdaf388abf7989f4321945d3048c1bcb9fbec4ab942ca2baeb", "generator_version": "3.0"}
{"id": "v3_val_00003034", "prompt": "Evaluate: (66 + (-62)) * (-8)", "solution_steps": ["Add: 66 + (-62) = 4", "Multiply: 4 * (-8) = -32"], "final_answer": "-32", "answer_type": "integer", "kind": "expression", "math_text": "(66 + (-62)) * (-8)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -62, \"c\": -8}", "seed": "6871847925280947537", "semantic_fingerprint": "sha256:3f0cdee2f81b09e1ee4965ed7a0a7424777082da1cc37cfa9f969401062dfe0b", "generator_version": "3.0"}
{"id": "v3_val_00003035", "prompt": "Calculate: 77 * (-1) + (-96 - (-46 + 0) + 912)", "solution_steps": ["Multiply: 77 * (-1) = -77", "Add: -46 + 0 = -46", "Subtract: -96 - (-46) = -50", "Add: -50 + 912 = 862", "Add: -77 + 862 = 785"], "final_answer": "785", "answer_type": "integer", "kind": "expression", "math_text": "77 * (-1) + (-96 - (-46 + 0) + 912)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -1, \"c\": -96, \"d\": -46, \"e\": 0, \"f\": 912}", "seed": "10064929587925163556", "semantic_fingerprint": "sha256:ae00a9845254bd35c89c8a9f3b5c8af9b5d9c85ccce16333c9c5c119a2c53420", "generator_version": "3.0"}
{"id": "v3_val_00003036", "prompt": "Find x: x - 85 = -7(x + 7) + 84", "solution_steps": ["Expand: x - 85 = -7x - 49 + 84", "Combine constants: x - 85 = -7x + 35", "Add 7x to both sides: 8x - 85 = 35", "Add 85 to both sides: 8x = 120", "Divide both sides by 8: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 85 = -7(x + 7) + 84", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -7, \"c\": 7, \"e\": 84, \"x\": 15}", "seed": "16809002837890758431", "semantic_fingerprint": "sha256:7d81bf92e9b2c92666921ca003aea3490dbb542b92819f5d3554e30670693dd0", "generator_version": "3.0"}
{"id": "v3_val_00003037", "prompt": "Find x: -12x - 64 = -9(x - 97) - 904", "solution_steps": ["Expand: -12x - 64 = -9x + 873 - 904", "Combine constants: -12x - 64 = -9x - 31", "Add 9x to both sides: -3x - 64 = -31", "Add 64 to both sides: -3x = 33", "Divide both sides by -3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 64 = -9(x - 97) - 904", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 64, \"c\": -9, \"d\": 97, \"f\": -904, \"x\": -11}", "seed": "9118141228812246251", "semantic_fingerprint": "sha256:6be932c015eb05141f3ad6884d3f40eeec6040f87092efd09f3038dbbd36ca29", "generator_version": "3.0"}
{"id": "v3_val_00003038", "prompt": "Compute: 6 + (-24 + 432)", "solution_steps": ["Add: -24 + 432 = 408", "Add: 6 + 408 = 414"], "final_answer": "414", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-24 + 432)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -24, \"c\": 432}", "seed": "12158561011472162655", "semantic_fingerprint": "sha256:98ee35f5fa6217cd223ab7c8a6ecfd2d7842fbf31369667230fe588d14114c27", "generator_version": "3.0"}
{"id": "v3_val_00003039", "prompt": "What is 596 * (7 - (-34))?", "solution_steps": ["Subtract: 7 - (-34) = 41", "Multiply: 596 * 41 = 24436"], "final_answer": "24436", "answer_type": "integer", "kind": "expression", "math_text": "596 * (7 - (-34))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 596, \"b\": 7, \"c\": -34}", "seed": "5812069397420013428", "semantic_fingerprint": "sha256:dc680d1b501dca2e2db90d253eab321b30aeab1cd644267be6e5094df11ae17c", "generator_version": "3.0"}
{"id": "v3_val_00003040", "prompt": "Calculate: (-344 * (-4) - 4) / 39 + (-38) / (-59)", "solution_steps": ["Multiply: -344 * (-4) = 1376", "Subtract: 1376 - 4 = 1372", "Divide: 1372 / 39 = 1372/39", "Divide: -38 / (-59) = 38/59", "Add: 1372/39 + 38/59 = 82430/2301"], "final_answer": "82430/2301", "answer_type": "rational", "kind": "expression", "math_text": "(-344 * (-4) - 4) / 39 + (-38) / (-59)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- (* n n) n) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -344, \"b\": -4, \"c\": 4, \"d\": 39, \"e\": -38, \"f\": -59}", "seed": "3023743955405590470", "semantic_fingerprint": "sha256:43328642dd524e3fb9dc312b80a62ec2c9c992e457de422fd84d2b169591b5a8", "generator_version": "3.0"}
{"id": "v3_val_00003041", "prompt": "What value of x satisfies 10(x + 9) - 6 = 4(x - 99) + 912?", "solution_steps": ["Expand: 10x + 90 - 6 = 4(x - 99) + 912", "Expand: 10x + 90 - 6 = 4x - 396 + 912", "Combine constants: 10x + 84 = 4x - 396 + 912", "Combine constants: 10x + 84 = 4x + 516", "Subtract 4x from both sides: 6x + 84 = 516", "Subtract 84 from both sides: 6x = 432", "Divide both sides by 6: x = 72"], "final_answer": "72", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 9) - 6 = 4(x - 99) + 912", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 6, \"d\": 4, \"e\": 99, \"f\": 912}", "seed": "13569234893247892564", "semantic_fingerprint": "sha256:a858c4a2315e8f3894568ad9efbe5f16b3fa1e2c0347aab694eac948f91d580b", "generator_version": "3.0"}
{"id": "v3_val_00003042", "prompt": "Solve the equation 10x = x - 108 for x.", "solution_steps": ["Subtract x from both sides: 9x = -108", "Divide both sides by 9: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = x - 108", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": -108, \"x\": -12}", "seed": "12695413912700486684", "semantic_fingerprint": "sha256:4570604739571ee6886a2977f59566ad9bddde6b351b2fb09e3b1f6377343a39", "generator_version": "3.0"}
{"id": "v3_val_00003043", "prompt": "Solve for x: 11(x + 172) = -5(x + 10) - 643", "solution_steps": ["Expand: 11x + 1892 = -5(x + 10) - 643", "Expand: 11x + 1892 = -5x - 50 - 643", "Combine constants: 11x + 1892 = -5x - 693", "Add 5x to both sides: 16x + 1892 = -693", "Subtract 1892 from both sides: 16x = -2585", "Divide both sides by 16: x = -2585/16"], "final_answer": "-2585/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 172) = -5(x + 10) - 643", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 172, \"c\": -5, \"d\": 10, \"e\": 643}", "seed": "10458142127732525425", "semantic_fingerprint": "sha256:14cb7b678cd3c80bbc621a7fbc133c99b9500ba29710f2706fe7817534a1d767", "generator_version": "3.0"}
{"id": "v3_val_00003044", "prompt": "What value of x satisfies 2x + 3 = 8(x + 10)?", "solution_steps": ["Expand: 2x + 3 = 8x + 80", "Subtract 8x from both sides: -6x + 3 = 80", "Subtract 3 from both sides: -6x = 77", "Divide both sides by -6: x = -77/6"], "final_answer": "-77/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x + 3 = 8(x + 10)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 8, \"d\": 10}", "seed": "18228913171513552978", "semantic_fingerprint": "sha256:1cfc156b4509cfe8cb11604e3398767464d3a8733ccacfa03628ed1318319f4a", "generator_version": "3.0"}
{"id": "v3_val_00003045", "prompt": "What value of x satisfies 5x = 25?", "solution_steps": ["Divide both sides by 5: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 25", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": 25, \"x\": 5}", "seed": "7314255478503781977", "semantic_fingerprint": "sha256:ee7fe55c8807b9331b12805a78b26ccdf703201ff4f21275ca2215630b130f81", "generator_version": "3.0"}
{"id": "v3_val_00003046", "prompt": "What is 9 * (90 / 9) * 9?", "solution_steps": ["Divide: 90 / 9 = 10", "Multiply: 9 * 10 = 90", "Multiply: 90 * 9 = 810"], "final_answer": "810", "answer_type": "integer", "kind": "expression", "math_text": "9 * (90 / 9) * 9", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 90, \"c\": 9, \"d\": 9}", "seed": "3973453565835507266", "semantic_fingerprint": "sha256:828893e12f1a4a2bd865b229c67683d89f0a0a9eed9147c247791b5b7464da71", "generator_version": "3.0"}
{"id": "v3_val_00003047", "prompt": "Evaluate: -20 * 7 - (-7) / 6", "solution_steps": ["Multiply: -20 * 7 = -140", "Divide: -7 / 6 = -7/6", "Subtract: -140 - (-7/6) = -833/6"], "final_answer": "-833/6", "answer_type": "rational", "kind": "expression", "math_text": "-20 * 7 - (-7) / 6", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 7, \"c\": -7, \"d\": 6}", "seed": "14284560126112065600", "semantic_fingerprint": "sha256:04bd010e4775581e91d3bf8e96b584a95f1b6d1ace2f706a9506f7c02be1589f", "generator_version": "3.0"}
{"id": "v3_val_00003048", "prompt": "Find x: x + 525 = -8(x + 4)", "solution_steps": ["Expand: x + 525 = -8x - 32", "Add 8x to both sides: 9x + 525 = -32", "Subtract 525 from both sides: 9x = -557", "Divide both sides by 9: x = -557/9"], "final_answer": "-557/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 525 = -8(x + 4)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 525, \"b\": -8, \"c\": 4}", "seed": "9703281271988071243", "semantic_fingerprint": "sha256:ef7f5e1fc176e4088d9d4cca3a63f8c4674463abf2f350f0ffd59f525856d777", "generator_version": "3.0"}
{"id": "v3_val_00003049", "prompt": "What is 10 - (-6) / (-6)?", "solution_steps": ["Divide: -6 / (-6) = 1", "Subtract: 10 - 1 = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "10 - (-6) / (-6)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -6, \"c\": -6}", "seed": "14268104418578217862", "semantic_fingerprint": "sha256:44fb1698985bea2a9d2dea6c4eac8ec71cfddc3cc1a3148a1661fbc2101d9929", "generator_version": "3.0"}
{"id": "v3_val_00003050", "prompt": "Compute: (-1 + (-428 - (-87))) * (-19 / (-9))", "solution_steps": ["Subtract: -428 - (-87) = -341", "Add: -1 + (-341) = -342", "Divide: -19 / (-9) = 19/9", "Multiply: -342 * (19/9) = -722"], "final_answer": "-722", "answer_type": "integer", "kind": "expression", "math_text": "(-1 + (-428 - (-87))) * (-19 / (-9))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -428, \"c\": -87, \"d\": -19, \"e\": -9}", "seed": "2941201477501681986", "semantic_fingerprint": "sha256:84a94b02d5d81389c6e95f99cd734c61d66ac71899a93edcab195ff5f9e2f196", "generator_version": "3.0"}
{"id": "v3_val_00003051", "prompt": "Evaluate: (-1 + 26) * 3", "solution_steps": ["Add: -1 + 26 = 25", "Multiply: 25 * 3 = 75"], "final_answer": "75", "answer_type": "integer", "kind": "expression", "math_text": "(-1 + 26) * 3", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 26, \"c\": 3}", "seed": "1136745602093614653", "semantic_fingerprint": "sha256:f8b629dce02d82688f5525d685d62700b06edc2960804c41d7bb7da5a21d867e", "generator_version": "3.0"}
{"id": "v3_val_00003052", "prompt": "What value of x satisfies x = -2x + 51?", "solution_steps": ["Add 2x to both sides: 3x = 51", "Divide both sides by 3: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -2x + 51", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"c\": 51, \"x\": 17}", "seed": "16385457432704341137", "semantic_fingerprint": "sha256:7885a1186c29a914a2be2865fdb0414b015ac6e03a7eb2ab9ae8f61e2203c3d1", "generator_version": "3.0"}
{"id": "v3_val_00003053", "prompt": "Find x: -2(x - 59) - 226 = 6(x + 6)", "solution_steps": ["Expand: -2x + 118 - 226 = 6(x + 6)", "Expand: -2x + 118 - 226 = 6x + 36", "Combine constants: -2x - 108 = 6x + 36", "Subtract 6x from both sides: -8x - 108 = 36", "Add 108 to both sides: -8x = 144", "Divide both sides by -8: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 59) - 226 = 6(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\": 59, \"c\": 6, \"d\": 6, \"f\": -226, \"x\": -18}", "seed": "1290152992810934449", "semantic_fingerprint": "sha256:5d67c7f96dd935d8404f94c655deb1374de355cf71693f894605f63deda9cbdf", "generator_version": "3.0"}
{"id": "v3_val_00003054", "prompt": "Calculate: -2 / 618", "solution_steps": ["Divide: -2 / 618 = -1/309"], "final_answer": "-1/309", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 618", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 618}", "seed": "10623702618799132009", "semantic_fingerprint": "sha256:85370ae091999f0c9d1261f1e1989f8ce1ff9c56529696a521138a324097238d", "generator_version": "3.0"}
{"id": "v3_val_00003055", "prompt": "Solve the equation -12x - 30 = -10x for x.", "solution_steps": ["Add 10x to 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": "-12x - 30 = -10x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -10, \"d\": -30, \"x\": -15}", "seed": "3073163667947601811", "semantic_fingerprint": "sha256:8e8469d6c303f06ecdae16294f174d6035609ffbac2543695887c6175a0ca7ba", "generator_version": "3.0"}
{"id": "v3_val_00003056", "prompt": "Calculate: -11 / (-8 + (-58))", "solution_steps": ["Add: -8 + (-58) = -66", "Divide: -11 / (-66) = 1/6"], "final_answer": "1/6", "answer_type": "rational", "kind": "expression", "math_text": "-11 / (-8 + (-58))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -8, \"c\": -58}", "seed": "2888487170470660680", "semantic_fingerprint": "sha256:914eda0d24d044fed84e4e713b1dec2e1c0fa3c224e4f35009a4dbe44f7a9a35", "generator_version": "3.0"}
{"id": "v3_val_00003057", "prompt": "What value of x satisfies 3(x + 71) = x + 205?", "solution_steps": ["Expand: 3x + 213 = x + 205", "Subtract x from both sides: 2x + 213 = 205", "Subtract 213 from both sides: 2x = -8", "Divide both sides by 2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 71) = x + 205", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 71, \"d\": 205, \"x\": -4}", "seed": "6036727261120176300", "semantic_fingerprint": "sha256:f0ae57ee8d5e91bb810b4a427a297a65146fd775ce73bfd293e0557c4a5723f9", "generator_version": "3.0"}
{"id": "v3_val_00003058", "prompt": "Calculate: 216 / (-35)", "solution_steps": ["Divide: 216 / (-35) = -216/35"], "final_answer": "-216/35", "answer_type": "rational", "kind": "expression", "math_text": "216 / (-35)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 216, \"b\": -35}", "seed": "13110074137628644718", "semantic_fingerprint": "sha256:171da0af788d19a0305edc9558619cc4b63668865b89e7ce7ca99cb3cc8fcd68", "generator_version": "3.0"}
{"id": "v3_val_00003059", "prompt": "Evaluate: 404 - (-26) - 58", "solution_steps": ["Subtract: 404 - (-26) = 430", "Subtract: 430 - 58 = 372"], "final_answer": "372", "answer_type": "integer", "kind": "expression", "math_text": "404 - (-26) - 58", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 404, \"b\": -26, \"c\": 58}", "seed": "4244794279159939715", "semantic_fingerprint": "sha256:f5849f18d36fd00afa008f85204fe2a911d4b09245c7a9b977f5224a123c67e4", "generator_version": "3.0"}
{"id": "v3_val_00003060", "prompt": "What is -51 / (-3)?", "solution_steps": ["Divide: -51 / (-3) = 17"], "final_answer": "17", "answer_type": "integer", "kind": "expression", "math_text": "-51 / (-3)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -3}", "seed": "10680623012716944405", "semantic_fingerprint": "sha256:ed6f2a13c48ee634f4c5c1763487d78f4a607905775b26101f20f39cac47f511", "generator_version": "3.0"}
{"id": "v3_val_00003061", "prompt": "Evaluate: -3 * (-6 / ((-1 + 467) * (-1)))", "solution_steps": ["Add: -1 + 467 = 466", "Multiply: 466 * (-1) = -466", "Divide: -6 / (-466) = 3/233", "Multiply: -3 * (3/233) = -9/233"], "final_answer": "-9/233", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-6 / ((-1 + 467) * (-1)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (* (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -6, \"c\": -1, \"d\": 467, \"e\": -1}", "seed": "6618689140470282645", "semantic_fingerprint": "sha256:4eb5307fc59bd1bf7c0a57aa995aec3cd14b76dd159c0eaedaa269572ec476b7", "generator_version": "3.0"}
{"id": "v3_val_00003062", "prompt": "Compute: 102 / 44 - (-891)", "solution_steps": ["Divide: 102 / 44 = 51/22", "Subtract: 51/22 - (-891) = 19653/22"], "final_answer": "19653/22", "answer_type": "rational", "kind": "expression", "math_text": "102 / 44 - (-891)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 102, \"b\": 44, \"c\": -891}", "seed": "10452989625761668134", "semantic_fingerprint": "sha256:1470f28595bdc6ac45361c6904ed2207b43dbed9b53e585cdf018ecbcee62184", "generator_version": "3.0"}
{"id": "v3_val_00003063", "prompt": "What is 41 * (-6 / (-983)) + 1?", "solution_steps": ["Divide: -6 / (-983) = 6/983", "Multiply: 41 * (6/983) = 246/983", "Add: 246/983 + 1 = 1229/983"], "final_answer": "1229/983", "answer_type": "rational", "kind": "expression", "math_text": "41 * (-6 / (-983)) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -6, \"c\": -983, \"d\": 1}", "seed": "12725104961963714738", "semantic_fingerprint": "sha256:475cd760d4af40cc0a73a6822e3088cbaed822649712da163d89ba15d81c3715", "generator_version": "3.0"}
{"id": "v3_val_00003064", "prompt": "Calculate: 793 + 3 - (-5)", "solution_steps": ["Add: 793 + 3 = 796", "Subtract: 796 - (-5) = 801"], "final_answer": "801", "answer_type": "integer", "kind": "expression", "math_text": "793 + 3 - (-5)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 793, \"b\": 3, \"c\": -5}", "seed": "7114522924145474633", "semantic_fingerprint": "sha256:8f0d0a96947166d98e4545b240d247c45de9a14fe82bc70c3e753f5f45600e52", "generator_version": "3.0"}
{"id": "v3_val_00003065", "prompt": "Solve for x: -5x = 2(x - 73) + 167", "solution_steps": ["Expand: -5x = 2x - 146 + 167", "Combine constants: -5x = 2x + 21", "Subtract 2x from both sides: -7x = 21", "Divide both sides by -7: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 2(x - 73) + 167", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 73, \"e\": 167, \"x\": -3}", "seed": "1571016749128302227", "semantic_fingerprint": "sha256:4c8594f9783272e6677390a515f258ea3c524a7aa832f6ea879f2f1d45ae9b3d", "generator_version": "3.0"}
{"id": "v3_val_00003066", "prompt": "Calculate: -11 - (-298) + (1 + 663) / 5", "solution_steps": ["Subtract: -11 - (-298) = 287", "Add: 1 + 663 = 664", "Divide: 664 / 5 = 664/5", "Add: 287 + 664/5 = 2099/5"], "final_answer": "2099/5", "answer_type": "rational", "kind": "expression", "math_text": "-11 - (-298) + (1 + 663) / 5", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -298, \"c\": 1, \"d\": 663, \"e\": 5}", "seed": "17389626682640301329", "semantic_fingerprint": "sha256:41faaf39da83f3641718eb7c109bebe964a075a2ee4b282306597971bab55c5a", "generator_version": "3.0"}
{"id": "v3_val_00003067", "prompt": "Calculate: (46 - (-8)) / (14 - (-32))", "solution_steps": ["Subtract: 46 - (-8) = 54", "Subtract: 14 - (-32) = 46", "Divide: 54 / 46 = 27/23"], "final_answer": "27/23", "answer_type": "rational", "kind": "expression", "math_text": "(46 - (-8)) / (14 - (-32))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -8, \"c\": 14, \"d\": -32}", "seed": "15012862262533855758", "semantic_fingerprint": "sha256:55ef173c69fcfb603b59c56db7f159d2e0d0c0310c8db2482503b7a2ff61d2de", "generator_version": "3.0"}
{"id": "v3_val_00003068", "prompt": "Evaluate: (-710 + 5) * 3 + 2", "solution_steps": ["Add: -710 + 5 = -705", "Multiply: -705 * 3 = -2115", "Add: -2115 + 2 = -2113"], "final_answer": "-2113", "answer_type": "integer", "kind": "expression", "math_text": "(-710 + 5) * 3 + 2", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -710, \"b\": 5, \"c\": 3, \"d\": 2}", "seed": "18092145033910075203", "semantic_fingerprint": "sha256:baff5d5d563bd4ad41fd5a3b2e109cf5bdd96fb0446c701d192524334def8428", "generator_version": "3.0"}
{"id": "v3_val_00003069", "prompt": "What value of x satisfies -9(x + 95) = -2(x - 7) - 974?", "solution_steps": ["Expand: -9x - 855 = -2(x - 7) - 974", "Expand: -9x - 855 = -2x + 14 - 974", "Combine constants: -9x - 855 = -2x - 960", "Add 2x to both sides: -7x - 855 = -960", "Add 855 to both sides: -7x = -105", "Divide both sides by -7: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 95) = -2(x - 7) - 974", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 95, \"c\": -2, \"d\": 7, \"f\": -974, \"x\": 15}", "seed": "12592528162339587699", "semantic_fingerprint": "sha256:5f1e60b87cb97270c10a769008d1af06f25fafcd1159781e9c3a27dbe0b0103f", "generator_version": "3.0"}
{"id": "v3_val_00003070", "prompt": "Compute: -545 / (-98 + (127 / (-7) - 26))", "solution_steps": ["Divide: 127 / (-7) = -127/7", "Subtract: -127/7 - 26 = -309/7", "Add: -98 + (-309/7) = -995/7", "Divide: -545 / (-995/7) = 763/199"], "final_answer": "763/199", "answer_type": "rational", "kind": "expression", "math_text": "-545 / (-98 + (127 / (-7) - 26))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (- (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -545, \"b\": -98, \"c\": 127, \"d\": -7, \"e\": 26}", "seed": "16647769617461120616", "semantic_fingerprint": "sha256:9d79ce9980d4452d6279d3053ad5637ad38956b52c8cadad5d47d5d6c7e624b5", "generator_version": "3.0"}
{"id": "v3_val_00003071", "prompt": "Evaluate: -9 / 9 / (4 + (-893 + (-7))) + (-444)", "solution_steps": ["Divide: -9 / 9 = -1", "Add: -893 + (-7) = -900", "Add: 4 + (-900) = -896", "Divide: -1 / (-896) = 1/896", "Add: 1/896 + (-444) = -397823/896"], "final_answer": "-397823/896", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 9 / (4 + (-893 + (-7))) + (-444)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) (+ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 4, \"d\": -893, \"e\": -7, \"f\": -444}", "seed": "13955671450321101319", "semantic_fingerprint": "sha256:84220fde18da92aa4f9eb735cd22750546354ac1ac83d749398503c37d3de3cd", "generator_version": "3.0"}
{"id": "v3_val_00003072", "prompt": "Compute: 23 + (-39) * (-7)", "solution_steps": ["Multiply: -39 * (-7) = 273", "Add: 23 + 273 = 296"], "final_answer": "296", "answer_type": "integer", "kind": "expression", "math_text": "23 + (-39) * (-7)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -39, \"c\": -7}", "seed": "87074062747875442", "semantic_fingerprint": "sha256:dfeb50ef3ceead6bec9caf1b18a610ff5b8f711142ff17e2c12ca600dd8cdd6d", "generator_version": "3.0"}
{"id": "v3_val_00003073", "prompt": "What is (-3 - (-53)) / (6 - 8)?", "solution_steps": ["Subtract: -3 - (-53) = 50", "Subtract: 6 - 8 = -2", "Divide: 50 / (-2) = -25"], "final_answer": "-25", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - (-53)) / (6 - 8)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -53, \"c\": 6, \"d\": 8}", "seed": "13152154141448145383", "semantic_fingerprint": "sha256:482e90eb6d61c753443e07c5ed8c183fa8e3e45cc00d88f6ab03468d53a76766", "generator_version": "3.0"}
{"id": "v3_val_00003074", "prompt": "Find x: -7(x - 5) = 6x", "solution_steps": ["Expand: -7x + 35 = 6x", "Subtract 6x from both sides: -13x + 35 = 0", "Subtract 35 from both sides: -13x = -35", "Divide both sides by -13: x = 35/13"], "final_answer": "35/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 5) = 6x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 5, \"c\": 6}", "seed": "12465257789089285131", "semantic_fingerprint": "sha256:ba6a1734eb18fa9268bf3ea7c62815e9f5baae149f6d6fc553f33844ded1740c", "generator_version": "3.0"}
{"id": "v3_val_00003075", "prompt": "What is -1 * (2 + (-32))?", "solution_steps": ["Add: 2 + (-32) = -30", "Multiply: -1 * (-30) = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (2 + (-32))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 2, \"c\": -32}", "seed": "326140599885841679", "semantic_fingerprint": "sha256:d92948cd2ea2429ccd03c6d373e5d0ec097d858e4c33082e4aab13613d79e284", "generator_version": "3.0"}
{"id": "v3_val_00003076", "prompt": "Solve for x: -6(x - 34) = 10(x - 7) - 94", "solution_steps": ["Expand: -6x + 204 = 10(x - 7) - 94", "Expand: -6x + 204 = 10x - 70 - 94", "Combine constants: -6x + 204 = 10x - 164", "Subtract 10x from both sides: -16x + 204 = -164", "Subtract 204 from both sides: -16x = -368", "Divide both sides by -16: x = 23"], "final_answer": "23", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 34) = 10(x - 7) - 94", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 34, \"c\": 10, \"d\": 7, \"e\": 94}", "seed": "10917156803683362098", "semantic_fingerprint": "sha256:2ddabb3fad730504feba423e53c2f9a4ae258ed1d7345a9519c8dc9e8413e58f", "generator_version": "3.0"}
{"id": "v3_val_00003077", "prompt": "Solve for x: 12(x + 54) - 9 = -10x + 837", "solution_steps": ["Expand: 12x + 648 - 9 = -10x + 837", "Combine constants: 12x + 639 = -10x + 837", "Add 10x to both sides: 22x + 639 = 837", "Subtract 639 from both sides: 22x = 198", "Divide both sides by 22: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 54) - 9 = -10x + 837", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 54, \"c\": 9, \"d\": -10, \"f\": 837, \"x\": 9}", "seed": "7620169974947900002", "semantic_fingerprint": "sha256:37c16bb4a78087b1519d0817afd997e17b2b66f2738ed57078ca302f372f8b5c", "generator_version": "3.0"}
{"id": "v3_val_00003078", "prompt": "Solve for x: 3(x + 27) = 9(x + 51) - 372", "solution_steps": ["Expand: 3x + 81 = 9(x + 51) - 372", "Expand: 3x + 81 = 9x + 459 - 372", "Combine constants: 3x + 81 = 9x + 87", "Subtract 9x from both sides: -6x + 81 = 87", "Subtract 81 from both sides: -6x = 6", "Divide both sides by -6: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 27) = 9(x + 51) - 372", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 27, \"c\": 9, \"d\": 51, \"f\": -372, \"x\": -1}", "seed": "4667244557772926601", "semantic_fingerprint": "sha256:61a59a218576900aa12c4c15687c8eef0aa1c56af3bf01eb5900a16e13770e10", "generator_version": "3.0"}
{"id": "v3_val_00003079", "prompt": "Calculate: -2 + (-985 - (-473))", "solution_steps": ["Subtract: -985 - (-473) = -512", "Add: -2 + (-512) = -514"], "final_answer": "-514", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-985 - (-473))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -985, \"c\": -473}", "seed": "3919914279068961792", "semantic_fingerprint": "sha256:f0b7f8e1aaa97132ffa4880bcc7bb3118b62c69a7b6f247c05fe93a99a839f8e", "generator_version": "3.0"}
{"id": "v3_val_00003080", "prompt": "Calculate: -55 / 7", "solution_steps": ["Divide: -55 / 7 = -55/7"], "final_answer": "-55/7", "answer_type": "rational", "kind": "expression", "math_text": "-55 / 7", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 7}", "seed": "301104065903637038", "semantic_fingerprint": "sha256:4f43a47893c990ed2e527b6b8e8786892092a1ee81172b18557898b88c909c1f", "generator_version": "3.0"}
{"id": "v3_val_00003081", "prompt": "Calculate: (-668 - (46 - (-5))) * 9", "solution_steps": ["Subtract: 46 - (-5) = 51", "Subtract: -668 - 51 = -719", "Multiply: -719 * 9 = -6471"], "final_answer": "-6471", "answer_type": "integer", "kind": "expression", "math_text": "(-668 - (46 - (-5))) * 9", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -668, \"b\": 46, \"c\": -5, \"d\": 9}", "seed": "7562319008674986040", "semantic_fingerprint": "sha256:4fa4136778a8d70435613b28a5bc2e3aa631e3c52ad8b3a7fc72b2585b6a3b55", "generator_version": "3.0"}
{"id": "v3_val_00003082", "prompt": "Evaluate: 34 / (-54 / (-75 * (-2) * (-6)))", "solution_steps": ["Multiply: -75 * (-2) = 150", "Multiply: 150 * (-6) = -900", "Divide: -54 / (-900) = 3/50", "Divide: 34 / (3/50) = 1700/3"], "final_answer": "1700/3", "answer_type": "rational", "kind": "expression", "math_text": "34 / (-54 / (-75 * (-2) * (-6)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (* (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -54, \"c\": -75, \"d\": -2, \"e\": -6}", "seed": "10496039061876071571", "semantic_fingerprint": "sha256:56ce19739a4627557d1ff4a59af038aca928c336f6f6fbc4af7166492ec15888", "generator_version": "3.0"}
{"id": "v3_val_00003083", "prompt": "Evaluate: 6 * (287 + 68) - (3 * (-1) - 89)", "solution_steps": ["Add: 287 + 68 = 355", "Multiply: 6 * 355 = 2130", "Multiply: 3 * (-1) = -3", "Subtract: -3 - 89 = -92", "Subtract: 2130 - (-92) = 2222"], "final_answer": "2222", "answer_type": "integer", "kind": "expression", "math_text": "6 * (287 + 68) - (3 * (-1) - 89)", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n n)) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 287, \"c\": 68, \"d\": 3, \"e\": -1, \"f\": 89}", "seed": "505149159598587134", "semantic_fingerprint": "sha256:7c4fb48db9e2f9cbdec71538ee3bda92109d679f121591aae928655261f84bfd", "generator_version": "3.0"}
{"id": "v3_val_00003084", "prompt": "What is 37 / 4?", "solution_steps": ["Divide: 37 / 4 = 37/4"], "final_answer": "37/4", "answer_type": "rational", "kind": "expression", "math_text": "37 / 4", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 4}", "seed": "3868298355392339926", "semantic_fingerprint": "sha256:8cb3b9d8fedba6932c1b6f3da89d86bf0086ea028ff2b9e71d0dffc73bd78527", "generator_version": "3.0"}
{"id": "v3_val_00003085", "prompt": "Find x: 4x + 346 = 6(x + 59)", "solution_steps": ["Expand: 4x + 346 = 6x + 354", "Subtract 6x from both sides: -2x + 346 = 354", "Subtract 346 from both sides: -2x = 8", "Divide both sides by -2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 346 = 6(x + 59)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 59, \"e\": 346, \"x\": -4}", "seed": "18244962357113292474", "semantic_fingerprint": "sha256:512401c4d8e2ce5eaa3d06820dcf2c18e63e55066f86f4ede8478946c6ddedc3", "generator_version": "3.0"}
{"id": "v3_val_00003086", "prompt": "Solve for x: -12x + 4 = x - 139", "solution_steps": ["Subtract x from both sides: -13x + 4 = -139", "Subtract 4 from both sides: -13x = -143", "Divide both sides by -13: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 4 = x - 139", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4, \"d\": -139, \"x\": 11}", "seed": "14554030209960024275", "semantic_fingerprint": "sha256:0272cae42a429afebec4507fb328a36b7e8e64491e76af86cd3af0bd237427df", "generator_version": "3.0"}
{"id": "v3_val_00003087", "prompt": "Evaluate: (-427 - (-91)) / (-23) + (-85)", "solution_steps": ["Subtract: -427 - (-91) = -336", "Divide: -336 / (-23) = 336/23", "Add: 336/23 + (-85) = -1619/23"], "final_answer": "-1619/23", "answer_type": "rational", "kind": "expression", "math_text": "(-427 - (-91)) / (-23) + (-85)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -427, \"b\": -91, \"c\": -23, \"d\": -85}", "seed": "2933128244455576554", "semantic_fingerprint": "sha256:603721528ee999b7dfe7564cf9250403d731488a31bcab374b7697ac3da94e46", "generator_version": "3.0"}
{"id": "v3_val_00003088", "prompt": "Calculate: -880 / ((-39 + 78) / (-7))", "solution_steps": ["Add: -39 + 78 = 39", "Divide: 39 / (-7) = -39/7", "Divide: -880 / (-39/7) = 6160/39"], "final_answer": "6160/39", "answer_type": "rational", "kind": "expression", "math_text": "-880 / ((-39 + 78) / (-7))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -880, \"b\": -39, \"c\": 78, \"d\": -7}", "seed": "16441671385995646924", "semantic_fingerprint": "sha256:988cd8ba54438be9ccbe56e60fe6725b85b3669a95ae1eeda84833c9279a2ceb", "generator_version": "3.0"}
{"id": "v3_val_00003089", "prompt": "Solve the equation -6(x - 74) - 56 = -10(x + 2) - 9 for x.", "solution_steps": ["Expand: -6x + 444 - 56 = -10(x + 2) - 9", "Expand: -6x + 444 - 56 = -10x - 20 - 9", "Combine constants: -6x + 388 = -10x - 20 - 9", "Combine constants: -6x + 388 = -10x - 29", "Add 10x to both sides: 4x + 388 = -29", "Subtract 388 from both sides: 4x = -417", "Divide both sides by 4: x = -417/4"], "final_answer": "-417/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 74) - 56 = -10(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\": -6, \"b\": 74, \"c\": 56, \"d\": -10, \"e\": 2, \"f\": 9}", "seed": "6048016756616816668", "semantic_fingerprint": "sha256:39f6c1ecbc746e61e6da721ea907f20324e4ecd46208535fbc9947cdfa17ef96", "generator_version": "3.0"}
{"id": "v3_val_00003090", "prompt": "Evaluate: 128 * ((60 - (-67)) * 0) * 11", "solution_steps": ["Subtract: 60 - (-67) = 127", "Multiply: 127 * 0 = 0", "Multiply: 128 * 0 = 0", "Multiply: 0 * 11 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "128 * ((60 - (-67)) * 0) * 11", "variable": null, "family": "expression_4op", "shape": "(* (* n (* (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 128, \"b\": 60, \"c\": -67, \"d\": 0, \"e\": 11}", "seed": "17082495406533546324", "semantic_fingerprint": "sha256:28ee476b69e3b04ff2c8d9c640502d8dce73647296af6822a6fd962456eff9d5", "generator_version": "3.0"}
{"id": "v3_val_00003091", "prompt": "Solve for x: 8(x - 13) + 90 = x + 63", "solution_steps": ["Expand: 8x - 104 + 90 = x + 63", "Combine constants: 8x - 14 = x + 63", "Subtract x from both sides: 7x - 14 = 63", "Add 14 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 - 13) + 90 = x + 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 13, \"c\": 90, \"e\": 63, \"x\": 11}", "seed": "1264318345122073960", "semantic_fingerprint": "sha256:3b52bc7027f6884c562ec17c9ec3ef6adb14f18475e07c79702693dd52685fee", "generator_version": "3.0"}
{"id": "v3_val_00003092", "prompt": "Solve the equation x + 8 = 6x - 88 for x.", "solution_steps": ["Subtract 6x from both sides: -5x + 8 = -88", "Subtract 8 from both sides: -5x = -96", "Divide both sides by -5: x = 96/5"], "final_answer": "96/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8 = 6x - 88", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 88}", "seed": "10281493408784188818", "semantic_fingerprint": "sha256:5c8cb11bdc1975fbba76b0aacfefca49f5f0233b1c6f4720177142444f188bfb", "generator_version": "3.0"}
{"id": "v3_val_00003093", "prompt": "Find x: 12(x + 26) - 9 = 2(x + 2) - 5", "solution_steps": ["Expand: 12x + 312 - 9 = 2(x + 2) - 5", "Expand: 12x + 312 - 9 = 2x + 4 - 5", "Combine constants: 12x + 303 = 2x + 4 - 5", "Combine constants: 12x + 303 = 2x - 1", "Subtract 2x from both sides: 10x + 303 = -1", "Subtract 303 from both sides: 10x = -304", "Divide both sides by 10: x = -152/5"], "final_answer": "-152/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 26) - 9 = 2(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\": 12, \"b\": 26, \"c\": 9, \"d\": 2, \"e\": 2, \"f\": 5}", "seed": "3027225412378011991", "semantic_fingerprint": "sha256:488ee21d1e77ea6bfbb1d1483d1020029e7a6651b4ef4f564d3834db25e71112", "generator_version": "3.0"}
{"id": "v3_val_00003094", "prompt": "Find x: x + 4 = 5(x - 3) + 913", "solution_steps": ["Expand: x + 4 = 5x - 15 + 913", "Combine constants: x + 4 = 5x + 898", "Subtract 5x from both sides: -4x + 4 = 898", "Subtract 4 from both sides: -4x = 894", "Divide both sides by -4: x = -447/2"], "final_answer": "-447/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4 = 5(x - 3) + 913", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 3, \"d\": 913}", "seed": "67603156794331010", "semantic_fingerprint": "sha256:50fcf9ec7cbe22a90799b1259ae5f3c97682289278a31f3d46c746dc64801574", "generator_version": "3.0"}
{"id": "v3_val_00003095", "prompt": "Calculate: 389 - (-3) / (-20)", "solution_steps": ["Divide: -3 / (-20) = 3/20", "Subtract: 389 - 3/20 = 7777/20"], "final_answer": "7777/20", "answer_type": "rational", "kind": "expression", "math_text": "389 - (-3) / (-20)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 389, \"b\": -3, \"c\": -20}", "seed": "12216496086366140967", "semantic_fingerprint": "sha256:a817823d48d84cd45ca725cff67ef80afa1ab7315999fadb61ff4df809cad1bb", "generator_version": "3.0"}
{"id": "v3_val_00003096", "prompt": "Calculate: 6 * (-56) - (-24 - (-38))", "solution_steps": ["Multiply: 6 * (-56) = -336", "Subtract: -24 - (-38) = 14", "Subtract: -336 - 14 = -350"], "final_answer": "-350", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-56) - (-24 - (-38))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -56, \"c\": -24, \"d\": -38}", "seed": "4532331146167460080", "semantic_fingerprint": "sha256:f35cd7ba2dcb3ad12e33347ff9994f0f323ea67b4729f4a7b69be3a22f8df3ae", "generator_version": "3.0"}
{"id": "v3_val_00003097", "prompt": "What is 21 + 71?", "solution_steps": ["Add: 21 + 71 = 92"], "final_answer": "92", "answer_type": "integer", "kind": "expression", "math_text": "21 + 71", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 71}", "seed": "14924145565930974995", "semantic_fingerprint": "sha256:b724d10ab9388b7f147cd71e60b1a31255809ed99835ec4a926b3d05afe92778", "generator_version": "3.0"}
{"id": "v3_val_00003098", "prompt": "Evaluate: 6 / (-679) * (-9)", "solution_steps": ["Divide: 6 / (-679) = -6/679", "Multiply: (-6/679) * (-9) = 54/679"], "final_answer": "54/679", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-679) * (-9)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -679, \"c\": -9}", "seed": "537677612212382622", "semantic_fingerprint": "sha256:f63e3f9ed02bea4f2ecbc1942834f0b58b4173798788730ab83456c16a410b4f", "generator_version": "3.0"}
{"id": "v3_val_00003099", "prompt": "What is -60 * 18 - (-486 * 1 - 697)?", "solution_steps": ["Multiply: -60 * 18 = -1080", "Multiply: -486 * 1 = -486", "Subtract: -486 - 697 = -1183", "Subtract: -1080 - (-1183) = 103"], "final_answer": "103", "answer_type": "integer", "kind": "expression", "math_text": "-60 * 18 - (-486 * 1 - 697)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 18, \"c\": -486, \"d\": 1, \"e\": 697}", "seed": "5249186518843290407", "semantic_fingerprint": "sha256:284de1155e96f54fcf747a9a49935f32baa0d56586bc720b065cf02daea230f4", "generator_version": "3.0"}
{"id": "v3_val_00003100", "prompt": "What value of x satisfies 6x - 472 = x + 328?", "solution_steps": ["Subtract x from both sides: 5x - 472 = 328", "Add 472 to both sides: 5x = 800", "Divide both sides by 5: x = 160"], "final_answer": "160", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 472 = x + 328", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 472, \"c\": 328}", "seed": "5572316022673950313", "semantic_fingerprint": "sha256:73edcbf7ce1d5586097b0a1d0c44527adafd5320e5a5f5ba7449f87dae771b2b", "generator_version": "3.0"}
{"id": "v3_val_00003101", "prompt": "Evaluate: 473 + 9", "solution_steps": ["Add: 473 + 9 = 482"], "final_answer": "482", "answer_type": "integer", "kind": "expression", "math_text": "473 + 9", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 473, \"b\": 9}", "seed": "3939624740019644823", "semantic_fingerprint": "sha256:1f690a81aa371f5b7cfd4961624f40f28c96e4aefc772945a67588b0e5cd27eb", "generator_version": "3.0"}
{"id": "v3_val_00003102", "prompt": "Compute: 870 - 5 / 3", "solution_steps": ["Divide: 5 / 3 = 5/3", "Subtract: 870 - 5/3 = 2605/3"], "final_answer": "2605/3", "answer_type": "rational", "kind": "expression", "math_text": "870 - 5 / 3", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 870, \"b\": 5, \"c\": 3}", "seed": "3792285189780313821", "semantic_fingerprint": "sha256:c788dd370a9a7128f97086c12812000b0662cfee729b029ab99b94ff58d9f37d", "generator_version": "3.0"}
{"id": "v3_val_00003103", "prompt": "Find x: 5(x + 67) = x + 363", "solution_steps": ["Expand: 5x + 335 = x + 363", "Subtract x from both sides: 4x + 335 = 363", "Subtract 335 from both sides: 4x = 28", "Divide both sides by 4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 67) = x + 363", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 67, \"d\": 363, \"x\": 7}", "seed": "10660925660603238871", "semantic_fingerprint": "sha256:b9834d0030b1ef286ff128c37833902e4331cddf7ad0052b2a29dd081a9a749f", "generator_version": "3.0"}
{"id": "v3_val_00003104", "prompt": "Find x: 12x + 16 = -4x", "solution_steps": ["Add 4x to both sides: 16x + 16 = 0", "Subtract 16 from both sides: 16x = -16", "Divide both sides by 16: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 16 = -4x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -4, \"d\": 16, \"x\": -1}", "seed": "8578172682081253117", "semantic_fingerprint": "sha256:1783148a79577ea3f76df3d7e72c17c8e4fe3c148078f4deda04c201d99e392b", "generator_version": "3.0"}
{"id": "v3_val_00003105", "prompt": "Compute: -60 - (-587) - (-17 + 25)", "solution_steps": ["Subtract: -60 - (-587) = 527", "Add: -17 + 25 = 8", "Subtract: 527 - 8 = 519"], "final_answer": "519", "answer_type": "integer", "kind": "expression", "math_text": "-60 - (-587) - (-17 + 25)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -587, \"c\": -17, \"d\": 25}", "seed": "5628265083472070358", "semantic_fingerprint": "sha256:3b198e322070c4d3e4bc97e6bbf39dca652aa6039c38d65258b337ad720c2946", "generator_version": "3.0"}
{"id": "v3_val_00003106", "prompt": "Find x: 8(x + 9) = -4(x + 7) - 80", "solution_steps": ["Expand: 8x + 72 = -4(x + 7) - 80", "Expand: 8x + 72 = -4x - 28 - 80", "Combine constants: 8x + 72 = -4x - 108", "Add 4x to both sides: 12x + 72 = -108", "Subtract 72 from both sides: 12x = -180", "Divide both sides by 12: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 9) = -4(x + 7) - 80", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": -4, \"d\": 7, \"e\": 80}", "seed": "18325806717254411413", "semantic_fingerprint": "sha256:18daefaa796a66d5802bd5a4bba12209752357b7718174c26d65a101fa979257", "generator_version": "3.0"}
{"id": "v3_val_00003107", "prompt": "What is -419 - (94 + (-7))?", "solution_steps": ["Add: 94 + (-7) = 87", "Subtract: -419 - 87 = -506"], "final_answer": "-506", "answer_type": "integer", "kind": "expression", "math_text": "-419 - (94 + (-7))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -419, \"b\": 94, \"c\": -7}", "seed": "15216382629778138860", "semantic_fingerprint": "sha256:9c26a4bc50e2b51749df329de50e035c0cfd3e19bd2f5ceaae6f6dbfc8f99807", "generator_version": "3.0"}
{"id": "v3_val_00003108", "prompt": "Calculate: 61 - (-29) / (-48) * (-78 - (-99 + 4))", "solution_steps": ["Divide: -29 / (-48) = 29/48", "Add: -99 + 4 = -95", "Subtract: -78 - (-95) = 17", "Multiply: (29/48) * 17 = 493/48", "Subtract: 61 - 493/48 = 2435/48"], "final_answer": "2435/48", "answer_type": "rational", "kind": "expression", "math_text": "61 - (-29) / (-48) * (-78 - (-99 + 4))", "variable": null, "family": "expression_5op", "shape": "(- n (* (/ n n) (- n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -29, \"c\": -48, \"d\": -78, \"e\": -99, \"f\": 4}", "seed": "5520076065182450543", "semantic_fingerprint": "sha256:62cccda351b725ce8ba435c184174fd8cec94f229582f8dfaa7576e0dff261a7", "generator_version": "3.0"}
{"id": "v3_val_00003109", "prompt": "What is 0 * 38?", "solution_steps": ["Multiply: 0 * 38 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 38", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 38}", "seed": "16437457256199454876", "semantic_fingerprint": "sha256:4672eedd68b8fdf105192d125dedbf03333fc8596cbde0d5977eeb7eec239da5", "generator_version": "3.0"}
{"id": "v3_val_00003110", "prompt": "What is (9 + (-8 - 1) * (-19 * 6)) / (-8)?", "solution_steps": ["Subtract: -8 - 1 = -9", "Multiply: -19 * 6 = -114", "Multiply: -9 * (-114) = 1026", "Add: 9 + 1026 = 1035", "Divide: 1035 / (-8) = -1035/8"], "final_answer": "-1035/8", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-8 - 1) * (-19 * 6)) / (-8)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (* (- n n) (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": 1, \"d\": -19, \"e\": 6, \"f\": -8}", "seed": "11529078855132622495", "semantic_fingerprint": "sha256:9a344810c0a02a925ae4c35fa6d8cb96a2e1921484f4b6f76f24f3e0e91ada5a", "generator_version": "3.0"}
{"id": "v3_val_00003111", "prompt": "Solve the equation x - 774 = 9(x + 12) + 67 for x.", "solution_steps": ["Expand: x - 774 = 9x + 108 + 67", "Combine constants: x - 774 = 9x + 175", "Subtract 9x from both sides: -8x - 774 = 175", "Add 774 to both sides: -8x = 949", "Divide both sides by -8: x = -949/8"], "final_answer": "-949/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 774 = 9(x + 12) + 67", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 774, \"b\": 9, \"c\": 12, \"d\": 67}", "seed": "13144909910865502010", "semantic_fingerprint": "sha256:02011a79cde80928bad0483bc93ff236d313181dd23651c0abbfd5543bccd92a", "generator_version": "3.0"}
{"id": "v3_val_00003112", "prompt": "Compute: 59 * (85 + 72) / (74 / (-4))", "solution_steps": ["Add: 85 + 72 = 157", "Multiply: 59 * 157 = 9263", "Divide: 74 / (-4) = -37/2", "Divide: 9263 / (-37/2) = -18526/37"], "final_answer": "-18526/37", "answer_type": "rational", "kind": "expression", "math_text": "59 * (85 + 72) / (74 / (-4))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 85, \"c\": 72, \"d\": 74, \"e\": -4}", "seed": "16154360396183672832", "semantic_fingerprint": "sha256:b37d063e0561393dd2edaff6070650fa83f68147ee3ff3f491d8072cd3aee4fe", "generator_version": "3.0"}
{"id": "v3_val_00003113", "prompt": "Compute: 66 * 924 - 4", "solution_steps": ["Multiply: 66 * 924 = 60984", "Subtract: 60984 - 4 = 60980"], "final_answer": "60980", "answer_type": "integer", "kind": "expression", "math_text": "66 * 924 - 4", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 924, \"c\": 4}", "seed": "10164441279355722413", "semantic_fingerprint": "sha256:7a9513a3020e575e424ea1224ca7f5bf260cbeb7506aba350aacb5f42101884b", "generator_version": "3.0"}
{"id": "v3_val_00003114", "prompt": "Evaluate: -506 + 49 - (-82 - 57 + (-719) + (-22))", "solution_steps": ["Add: -506 + 49 = -457", "Subtract: -82 - 57 = -139", "Add: -139 + (-719) = -858", "Add: -858 + (-22) = -880", "Subtract: -457 - (-880) = 423"], "final_answer": "423", "answer_type": "integer", "kind": "expression", "math_text": "-506 + 49 - (-82 - 57 + (-719) + (-22))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (+ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -506, \"b\": 49, \"c\": -82, \"d\": 57, \"e\": -719, \"f\": -22}", "seed": "4802246986538723917", "semantic_fingerprint": "sha256:62b174ca45d5220a7bc739052b4d3ff93df474f303a57de203cc74aa132e9698", "generator_version": "3.0"}
{"id": "v3_val_00003115", "prompt": "Find x: 3x + 21 = 8(x - 3)", "solution_steps": ["Expand: 3x + 21 = 8x - 24", "Subtract 8x from both sides: -5x + 21 = -24", "Subtract 21 from both sides: -5x = -45", "Divide both sides by -5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 21 = 8(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 3, \"e\": 21, \"x\": 9}", "seed": "4803093653201087820", "semantic_fingerprint": "sha256:8f97ff8dac95b058c3393d527800f62aea628dc3613af58b5a66dd3d500d7d0a", "generator_version": "3.0"}
{"id": "v3_val_00003116", "prompt": "Evaluate: -99 - (-69) / 707 * (-2)", "solution_steps": ["Divide: -69 / 707 = -69/707", "Multiply: (-69/707) * (-2) = 138/707", "Subtract: -99 - 138/707 = -70131/707"], "final_answer": "-70131/707", "answer_type": "rational", "kind": "expression", "math_text": "-99 - (-69) / 707 * (-2)", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -69, \"c\": 707, \"d\": -2}", "seed": "13950276232338340536", "semantic_fingerprint": "sha256:7ede2e3ff9efac08493a395b5def0dd874d88622d80ed582bad517e7f312ce24", "generator_version": "3.0"}
{"id": "v3_val_00003117", "prompt": "Evaluate: -64 / (26 * (-8))", "solution_steps": ["Multiply: 26 * (-8) = -208", "Divide: -64 / (-208) = 4/13"], "final_answer": "4/13", "answer_type": "rational", "kind": "expression", "math_text": "-64 / (26 * (-8))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 26, \"c\": -8}", "seed": "10826471184625612971", "semantic_fingerprint": "sha256:135b6192166792f994219e1619e391fab1c01dc8a1825d9a4e6e7fd4e19f2502", "generator_version": "3.0"}
{"id": "v3_val_00003118", "prompt": "Evaluate: -35 / (56 - (-5) * (-42 + 2 * 7))", "solution_steps": ["Multiply: 2 * 7 = 14", "Add: -42 + 14 = -28", "Multiply: -5 * (-28) = 140", "Subtract: 56 - 140 = -84", "Divide: -35 / (-84) = 5/12"], "final_answer": "5/12", "answer_type": "rational", "kind": "expression", "math_text": "-35 / (56 - (-5) * (-42 + 2 * 7))", "variable": null, "family": "expression_5op", "shape": "(/ n (- n (* n (+ n (* n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 56, \"c\": -5, \"d\": -42, \"e\": 2, \"f\": 7}", "seed": "11779300672571112438", "semantic_fingerprint": "sha256:30e311e85960a793c2857d0447ec5fb56aa292127b24bbb4cba02c7cea0011ee", "generator_version": "3.0"}
{"id": "v3_val_00003119", "prompt": "Solve for x: x - 38 = 5x - 2", "solution_steps": ["Subtract 5x from both sides: -4x - 38 = -2", "Add 38 to both sides: -4x = 36", "Divide both sides by -4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 38 = 5x - 2", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 5, \"d\": -2, \"x\": -9}", "seed": "11379781813432200598", "semantic_fingerprint": "sha256:099984835ce6b3d0fa0c6ea4ab5602441fe7c44c6fb46f0cf55181b5de44f1e3", "generator_version": "3.0"}
{"id": "v3_val_00003120", "prompt": "Compute: (26 - (-99)) * 1", "solution_steps": ["Subtract: 26 - (-99) = 125", "Multiply: 125 * 1 = 125"], "final_answer": "125", "answer_type": "integer", "kind": "expression", "math_text": "(26 - (-99)) * 1", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -99, \"c\": 1}", "seed": "11028508097775581024", "semantic_fingerprint": "sha256:e5100851678c5f664912349165c5a5a8de55fa4d1e4841ae14078c8423b77186", "generator_version": "3.0"}
{"id": "v3_val_00003121", "prompt": "What value of x satisfies -4(x + 60) - 3 = -9x - 333?", "solution_steps": ["Expand: -4x - 240 - 3 = -9x - 333", "Combine constants: -4x - 243 = -9x - 333", "Add 9x to both sides: 5x - 243 = -333", "Add 243 to both sides: 5x = -90", "Divide both sides by 5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 60) - 3 = -9x - 333", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 60, \"c\": 3, \"d\": -9, \"f\": -333, \"x\": -18}", "seed": "11582668890229583627", "semantic_fingerprint": "sha256:d28a2af0d87017b13fd7a8e3085ee34b9871b6ace0c1ebb5d060b58c96341488", "generator_version": "3.0"}
{"id": "v3_val_00003122", "prompt": "Compute: -92 * (6 + (-808))", "solution_steps": ["Add: 6 + (-808) = -802", "Multiply: -92 * (-802) = 73784"], "final_answer": "73784", "answer_type": "integer", "kind": "expression", "math_text": "-92 * (6 + (-808))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 6, \"c\": -808}", "seed": "2425925846576251602", "semantic_fingerprint": "sha256:94515fb741be897abdefcf88bf60ad97f69940b060c6ca4f0863ca08c6f2c1e3", "generator_version": "3.0"}
{"id": "v3_val_00003123", "prompt": "Calculate: -4 - 5 + (-5 + 8)", "solution_steps": ["Subtract: -4 - 5 = -9", "Add: -5 + 8 = 3", "Add: -9 + 3 = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "-4 - 5 + (-5 + 8)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": -5, \"d\": 8}", "seed": "4308100976826241981", "semantic_fingerprint": "sha256:41b5de98404738e60e16dd92557b6f66562b67c50b75eeef626a2252935e4ff0", "generator_version": "3.0"}
{"id": "v3_val_00003124", "prompt": "Calculate: 629 * (-5) + (-1 + (-129))", "solution_steps": ["Multiply: 629 * (-5) = -3145", "Add: -1 + (-129) = -130", "Add: -3145 + (-130) = -3275"], "final_answer": "-3275", "answer_type": "integer", "kind": "expression", "math_text": "629 * (-5) + (-1 + (-129))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 629, \"b\": -5, \"c\": -1, \"d\": -129}", "seed": "3603596038611647740", "semantic_fingerprint": "sha256:5cbc525fb4c0c120c17423be705d1b05f8259a2220e4acb7c77bfff4be09babc", "generator_version": "3.0"}
{"id": "v3_val_00003125", "prompt": "Solve the equation x + 31 = 5(x - 1) + 28 for x.", "solution_steps": ["Expand: x + 31 = 5x - 5 + 28", "Combine constants: x + 31 = 5x + 23", "Subtract 5x from both sides: -4x + 31 = 23", "Subtract 31 from both sides: -4x = -8", "Divide both sides by -4: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 31 = 5(x - 1) + 28", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 5, \"c\": 1, \"e\": 28, \"x\": 2}", "seed": "17222952040924567314", "semantic_fingerprint": "sha256:5b4428857aecf47e482adca74af7900e250902a809f0b37128a994df1a34faa3", "generator_version": "3.0"}
{"id": "v3_val_00003126", "prompt": "Calculate: -90 / (-6 + (-45))", "solution_steps": ["Add: -6 + (-45) = -51", "Divide: -90 / (-51) = 30/17"], "final_answer": "30/17", "answer_type": "rational", "kind": "expression", "math_text": "-90 / (-6 + (-45))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -6, \"c\": -45}", "seed": "13357490572620625303", "semantic_fingerprint": "sha256:01e71bf55d3f23349195408dbde072534d9e1f17eb84f7bf4efc8c7d7ecb0a57", "generator_version": "3.0"}
{"id": "v3_val_00003127", "prompt": "What value of x satisfies x + 42 = 5x - 30?", "solution_steps": ["Subtract 5x from both sides: -4x + 42 = -30", "Subtract 42 from both sides: -4x = -72", "Divide both sides by -4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 42 = 5x - 30", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 5, \"d\": -30, \"x\": 18}", "seed": "4780737941818925163", "semantic_fingerprint": "sha256:97443db9a3b81303b2e45ba9e2757cfe2b937d97825e17d59319791ea6bd850c", "generator_version": "3.0"}
{"id": "v3_val_00003128", "prompt": "Solve the equation 9(x - 54) - 63 = 6(x + 27) for x.", "solution_steps": ["Expand: 9x - 486 - 63 = 6(x + 27)", "Expand: 9x - 486 - 63 = 6x + 162", "Combine constants: 9x - 549 = 6x + 162", "Subtract 6x from both sides: 3x - 549 = 162", "Add 549 to both sides: 3x = 711", "Divide both sides by 3: x = 237"], "final_answer": "237", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 54) - 63 = 6(x + 27)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 54, \"c\": 63, \"d\": 6, \"e\": 27}", "seed": "10624821636400588001", "semantic_fingerprint": "sha256:ae02b8b5eb5684461eb11bef5c93a576725aa64717c98aefb419a51d9572acc6", "generator_version": "3.0"}
{"id": "v3_val_00003129", "prompt": "Evaluate: (112 - (-90)) / (-92 / (-54 + (-6 - 4)))", "solution_steps": ["Subtract: 112 - (-90) = 202", "Subtract: -6 - 4 = -10", "Add: -54 + (-10) = -64", "Divide: -92 / (-64) = 23/16", "Divide: 202 / (23/16) = 3232/23"], "final_answer": "3232/23", "answer_type": "rational", "kind": "expression", "math_text": "(112 - (-90)) / (-92 / (-54 + (-6 - 4)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ n (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 112, \"b\": -90, \"c\": -92, \"d\": -54, \"e\": -6, \"f\": 4}", "seed": "9661391035735068084", "semantic_fingerprint": "sha256:e40e8b8ee531c5e0d477bc00ede2a6e2e9ed0031e92ee6d3290242956d4fb2fd", "generator_version": "3.0"}
{"id": "v3_val_00003130", "prompt": "Calculate: (82 + 7) * 54 + 99 + (-3)", "solution_steps": ["Add: 82 + 7 = 89", "Multiply: 89 * 54 = 4806", "Add: 4806 + 99 = 4905", "Add: 4905 + (-3) = 4902"], "final_answer": "4902", "answer_type": "integer", "kind": "expression", "math_text": "(82 + 7) * 54 + 99 + (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 7, \"c\": 54, \"d\": 99, \"e\": -3}", "seed": "17686232658147191078", "semantic_fingerprint": "sha256:f659e98870b41a9626031a83c363d3b476c8e03399a7375c1bb45e7e9617acb1", "generator_version": "3.0"}
{"id": "v3_val_00003131", "prompt": "Evaluate: 7 / (-208 / 5) - (-50)", "solution_steps": ["Divide: -208 / 5 = -208/5", "Divide: 7 / (-208/5) = -35/208", "Subtract: -35/208 - (-50) = 10365/208"], "final_answer": "10365/208", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-208 / 5) - (-50)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -208, \"c\": 5, \"d\": -50}", "seed": "16412861960139227754", "semantic_fingerprint": "sha256:905fab1e62af3fe4ad371d301161e84bdc41d56c72251bcd1f9717906313e1b2", "generator_version": "3.0"}
{"id": "v3_val_00003132", "prompt": "Solve the equation 12(x + 47) - 978 = -11x for x.", "solution_steps": ["Expand: 12x + 564 - 978 = -11x", "Combine constants: 12x - 414 = -11x", "Add 11x to both sides: 23x - 414 = 0", "Add 414 to both sides: 23x = 414", "Divide both sides by 23: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 47) - 978 = -11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 47, \"c\": -11, \"e\": -978, \"x\": 18}", "seed": "17011618754604090566", "semantic_fingerprint": "sha256:956fd08855e90eb4360c26b7e0f5cb843cd63c98f7b1e51807f2243125ef9ebe", "generator_version": "3.0"}
{"id": "v3_val_00003133", "prompt": "What is -7 / (-99)?", "solution_steps": ["Divide: -7 / (-99) = 7/99"], "final_answer": "7/99", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-99)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -99}", "seed": "2997767297373305565", "semantic_fingerprint": "sha256:5b115c15d2641aa705c57a4ab2c01a162a03ca942e13bc789a2d9d177050955a", "generator_version": "3.0"}
{"id": "v3_val_00003134", "prompt": "Calculate: -72 + (-5 + (-55)) + (38 + (-3))", "solution_steps": ["Add: -5 + (-55) = -60", "Add: -72 + (-60) = -132", "Add: 38 + (-3) = 35", "Add: -132 + 35 = -97"], "final_answer": "-97", "answer_type": "integer", "kind": "expression", "math_text": "-72 + (-5 + (-55)) + (38 + (-3))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -5, \"c\": -55, \"d\": 38, \"e\": -3}", "seed": "11672830032328403355", "semantic_fingerprint": "sha256:43d2e2090e70f0e9bd4ff96bd47fe568192832a9cec30a53ac2bd9a24c4fdda4", "generator_version": "3.0"}
{"id": "v3_val_00003135", "prompt": "Find x: 8(x - 26) + 497 = -12(x - 846) - 32", "solution_steps": ["Expand: 8x - 208 + 497 = -12(x - 846) - 32", "Expand: 8x - 208 + 497 = -12x + 10152 - 32", "Combine constants: 8x + 289 = -12x + 10152 - 32", "Combine constants: 8x + 289 = -12x + 10120", "Add 12x to both sides: 20x + 289 = 10120", "Subtract 289 from both sides: 20x = 9831", "Divide both sides by 20: x = 9831/20"], "final_answer": "9831/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 26) + 497 = -12(x - 846) - 32", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 26, \"c\": 497, \"d\": -12, \"e\": 846, \"f\": 32}", "seed": "4330199284625933691", "semantic_fingerprint": "sha256:b743e61ea955c3badba0fd9dd7a57be571baa675a2e8bb949a080acdf9823629", "generator_version": "3.0"}
{"id": "v3_val_00003136", "prompt": "Calculate: (545 - (-274)) / (-36)", "solution_steps": ["Subtract: 545 - (-274) = 819", "Divide: 819 / (-36) = -91/4"], "final_answer": "-91/4", "answer_type": "rational", "kind": "expression", "math_text": "(545 - (-274)) / (-36)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 545, \"b\": -274, \"c\": -36}", "seed": "16416222721800304704", "semantic_fingerprint": "sha256:f8e4c95aa766adb7e2331d1f0f8e01c09f65b6fe613c405b0069db96fc82c173", "generator_version": "3.0"}
{"id": "v3_val_00003137", "prompt": "Evaluate: -6 / 279 + (-57) * 2", "solution_steps": ["Divide: -6 / 279 = -2/93", "Multiply: -57 * 2 = -114", "Add: -2/93 + (-114) = -10604/93"], "final_answer": "-10604/93", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 279 + (-57) * 2", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 279, \"c\": -57, \"d\": 2}", "seed": "8943946345285719273", "semantic_fingerprint": "sha256:779b6d8ea80e68239434fe9f8489a17a719bf6e20f7f05519e84c9fa34f9aafb", "generator_version": "3.0"}
{"id": "v3_val_00003138", "prompt": "What is 0 - 1 + 59?", "solution_steps": ["Subtract: 0 - 1 = -1", "Add: -1 + 59 = 58"], "final_answer": "58", "answer_type": "integer", "kind": "expression", "math_text": "0 - 1 + 59", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": 59}", "seed": "12518977879639073700", "semantic_fingerprint": "sha256:795dcf67caea31d71364571974d2bcc4e71eaa64fdbce937daf15536d4c96092", "generator_version": "3.0"}
{"id": "v3_val_00003139", "prompt": "What is -47 * (96 - 5 / (-152) * 37)?", "solution_steps": ["Divide: 5 / (-152) = -5/152", "Multiply: (-5/152) * 37 = -185/152", "Subtract: 96 - (-185/152) = 14777/152", "Multiply: -47 * (14777/152) = -694519/152"], "final_answer": "-694519/152", "answer_type": "rational", "kind": "expression", "math_text": "-47 * (96 - 5 / (-152) * 37)", "variable": null, "family": "expression_4op", "shape": "(* n (- n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 96, \"c\": 5, \"d\": -152, \"e\": 37}", "seed": "802535717500576721", "semantic_fingerprint": "sha256:43e8d72a6558488ebc5d0512d90b2452ad1e7b3d24feddd17fa781eb002b8422", "generator_version": "3.0"}
{"id": "v3_val_00003140", "prompt": "Calculate: (0 + 389) * 5 * (-4)", "solution_steps": ["Add: 0 + 389 = 389", "Multiply: 389 * 5 = 1945", "Multiply: 1945 * (-4) = -7780"], "final_answer": "-7780", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 389) * 5 * (-4)", "variable": null, "family": "expression_3op", "shape": "(* (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 389, \"c\": 5, \"d\": -4}", "seed": "2991952249551413732", "semantic_fingerprint": "sha256:794ae3c3dd2b59e24531f428f2c175e6c19a27d8c674b3d5dd39b1ea559c6b0b", "generator_version": "3.0"}
{"id": "v3_val_00003141", "prompt": "Solve the equation 6(x + 20) = -3(x + 4) for x.", "solution_steps": ["Expand: 6x + 120 = -3(x + 4)", "Expand: 6x + 120 = -3x - 12", "Add 3x to both sides: 9x + 120 = -12", "Subtract 120 from both sides: 9x = -132", "Divide both sides by 9: x = -44/3"], "final_answer": "-44/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 20) = -3(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 20, \"c\": -3, \"d\": 4}", "seed": "10507021065389656470", "semantic_fingerprint": "sha256:7baee4d84572a29a0e0e1b2eb83ea3147da8ac41d9f93583d2a9d1140fe6c33e", "generator_version": "3.0"}
{"id": "v3_val_00003142", "prompt": "Find x: x - 64 = -12x - 51", "solution_steps": ["Add 12x to both sides: 13x - 64 = -51", "Add 64 to both sides: 13x = 13", "Divide both sides by 13: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 64 = -12x - 51", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -12, \"d\": -51, \"x\": 1}", "seed": "129991547712859285", "semantic_fingerprint": "sha256:94638ea6ed6b2272ea8b2c540d3000547f0333f1a0fb49c1d556d5941dc50735", "generator_version": "3.0"}
{"id": "v3_val_00003143", "prompt": "Evaluate: (-529 - 225) / (65 + (-44))", "solution_steps": ["Subtract: -529 - 225 = -754", "Add: 65 + (-44) = 21", "Divide: -754 / 21 = -754/21"], "final_answer": "-754/21", "answer_type": "rational", "kind": "expression", "math_text": "(-529 - 225) / (65 + (-44))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -529, \"b\": 225, \"c\": 65, \"d\": -44}", "seed": "4394997637572106685", "semantic_fingerprint": "sha256:d6bb4de88fbdc44621d2e892fa1d3b307cbcbb2c59a499db08d67091e6e6702e", "generator_version": "3.0"}
{"id": "v3_val_00003144", "prompt": "Evaluate: 885 * (5 / (-2))", "solution_steps": ["Divide: 5 / (-2) = -5/2", "Multiply: 885 * (-5/2) = -4425/2"], "final_answer": "-4425/2", "answer_type": "rational", "kind": "expression", "math_text": "885 * (5 / (-2))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 885, \"b\": 5, \"c\": -2}", "seed": "14459496060868204742", "semantic_fingerprint": "sha256:4463e48650fe83f2c74d3dd79eb9b3f48c5b7e5d1b79579f65c80315dbcca24c", "generator_version": "3.0"}
{"id": "v3_val_00003145", "prompt": "Evaluate: -59 + 5 + (-5)", "solution_steps": ["Add: -59 + 5 = -54", "Add: -54 + (-5) = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "expression", "math_text": "-59 + 5 + (-5)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 5, \"c\": -5}", "seed": "5079463843677380016", "semantic_fingerprint": "sha256:24e6bab1158db97359904e7add81e4f3dfae37d3d8b10bc76fe388ca70aae849", "generator_version": "3.0"}
{"id": "v3_val_00003146", "prompt": "What value of x satisfies 6(x - 2) = 12x + 22?", "solution_steps": ["Expand: 6x - 12 = 12x + 22", "Subtract 12x from both sides: -6x - 12 = 22", "Add 12 to both sides: -6x = 34", "Divide both sides by -6: x = -17/3"], "final_answer": "-17/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 2) = 12x + 22", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 12, \"d\": 22}", "seed": "2355801924501423243", "semantic_fingerprint": "sha256:67ab0fbb11e5d902d70c8d2c146868f357aec072c276e9d59062552142edf5dd", "generator_version": "3.0"}
{"id": "v3_val_00003147", "prompt": "What value of x satisfies -7(x + 66) = 26?", "solution_steps": ["Expand: -7x - 462 = 26", "Add 462 to both sides: -7x = 488", "Divide both sides by -7: x = -488/7"], "final_answer": "-488/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 66) = 26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 66, \"c\": 26}", "seed": "14545250786536616618", "semantic_fingerprint": "sha256:6a2da3dbbad3fb0e73cc90465324419953be3aa9634c07fc5c89a1fa117cc2a3", "generator_version": "3.0"}
{"id": "v3_val_00003148", "prompt": "Solve for x: 11(x - 2) = x - 19", "solution_steps": ["Expand: 11x - 22 = x - 19", "Subtract x from both sides: 10x - 22 = -19", "Add 22 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": "11(x - 2) = x - 19", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 19}", "seed": "8890863568762396949", "semantic_fingerprint": "sha256:9a799f5f5cd0430a17cd837892a0e7c70dbacfefc34762a35f964c6d06d7ac9a", "generator_version": "3.0"}
{"id": "v3_val_00003149", "prompt": "What is -633 + 81 + (22 + 43)?", "solution_steps": ["Add: -633 + 81 = -552", "Add: 22 + 43 = 65", "Add: -552 + 65 = -487"], "final_answer": "-487", "answer_type": "integer", "kind": "expression", "math_text": "-633 + 81 + (22 + 43)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -633, \"b\": 81, \"c\": 22, \"d\": 43}", "seed": "3598247776472836100", "semantic_fingerprint": "sha256:ffb709a656bb9251037513c721f58d4151690df1e8a26ea13149be966c2ec5dd", "generator_version": "3.0"}
{"id": "v3_val_00003150", "prompt": "Compute: 5 / 46", "solution_steps": ["Divide: 5 / 46 = 5/46"], "final_answer": "5/46", "answer_type": "rational", "kind": "expression", "math_text": "5 / 46", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 46}", "seed": "2614523197619209263", "semantic_fingerprint": "sha256:755cad6c76c006f953bed523186dd2931f00addf45f814068f2bdd3e3fbdd3b8", "generator_version": "3.0"}
{"id": "v3_val_00003151", "prompt": "Evaluate: 7 / (-1 - (-41) / 827)", "solution_steps": ["Divide: -41 / 827 = -41/827", "Subtract: -1 - (-41/827) = -786/827", "Divide: 7 / (-786/827) = -5789/786"], "final_answer": "-5789/786", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-1 - (-41) / 827)", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -1, \"c\": -41, \"d\": 827}", "seed": "13271284570542008480", "semantic_fingerprint": "sha256:9e8824a7413b11159f40ca0b6ef0d882c2502466a0463851bf8172c60b11197d", "generator_version": "3.0"}
{"id": "v3_val_00003152", "prompt": "Compute: 4 / (-48 / (-9)) - (-758 * (-4) + (-751))", "solution_steps": ["Divide: -48 / (-9) = 16/3", "Divide: 4 / (16/3) = 3/4", "Multiply: -758 * (-4) = 3032", "Add: 3032 + (-751) = 2281", "Subtract: 3/4 - 2281 = -9121/4"], "final_answer": "-9121/4", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-48 / (-9)) - (-758 * (-4) + (-751))", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ n n)) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -48, \"c\": -9, \"d\": -758, \"e\": -4, \"f\": -751}", "seed": "4243180535658500863", "semantic_fingerprint": "sha256:5e5694045c4a87823f2f8dc12afc709a6f1f5e55d423d17c029e9dc1f3657260", "generator_version": "3.0"}
{"id": "v3_val_00003153", "prompt": "Solve the equation x - 23 = -27 for x.", "solution_steps": ["Add 23 to both sides: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 23 = -27", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 23, \"c\": -27, \"x\": -4}", "seed": "9323397898437741986", "semantic_fingerprint": "sha256:cf6af0f84440df656d6450d771f60872297bb25eee5ef6644566dbe61ac767ed", "generator_version": "3.0"}
{"id": "v3_val_00003154", "prompt": "Compute: 777 * 52 / (-4 - 53)", "solution_steps": ["Multiply: 777 * 52 = 40404", "Subtract: -4 - 53 = -57", "Divide: 40404 / (-57) = -13468/19"], "final_answer": "-13468/19", "answer_type": "rational", "kind": "expression", "math_text": "777 * 52 / (-4 - 53)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 777, \"b\": 52, \"c\": -4, \"d\": 53}", "seed": "17038913102923601895", "semantic_fingerprint": "sha256:3db58927b9fe06220d954a10a3d31a3f0bb4067763954d1c6ecb043930eaf822", "generator_version": "3.0"}
{"id": "v3_val_00003155", "prompt": "Solve the equation 6(x - 711) - 91 = 8(x + 645) - 636 for x.", "solution_steps": ["Expand: 6x - 4266 - 91 = 8(x + 645) - 636", "Expand: 6x - 4266 - 91 = 8x + 5160 - 636", "Combine constants: 6x - 4357 = 8x + 5160 - 636", "Combine constants: 6x - 4357 = 8x + 4524", "Subtract 8x from both sides: -2x - 4357 = 4524", "Add 4357 to both sides: -2x = 8881", "Divide both sides by -2: x = -8881/2"], "final_answer": "-8881/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 711) - 91 = 8(x + 645) - 636", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 711, \"c\": 91, \"d\": 8, \"e\": 645, \"f\": 636}", "seed": "9363582032671533742", "semantic_fingerprint": "sha256:739cd87ccba43456bd0e546098fe25bdda66982ce23bb761cb55bd0fede819ea", "generator_version": "3.0"}
{"id": "v3_val_00003156", "prompt": "What value of x satisfies 4(x + 8) = 11x?", "solution_steps": ["Expand: 4x + 32 = 11x", "Subtract 11x from both sides: -7x + 32 = 0", "Subtract 32 from both sides: -7x = -32", "Divide both sides by -7: x = 32/7"], "final_answer": "32/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 8) = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 11}", "seed": "6714454139806254561", "semantic_fingerprint": "sha256:1b89862f5e061004ef7c1202b2e542f4a4734958bddb8cca9a0efec247bd13c8", "generator_version": "3.0"}
{"id": "v3_val_00003157", "prompt": "Solve the equation -11x + 14 = x - 10 for x.", "solution_steps": ["Subtract x from both sides: -12x + 14 = -10", "Subtract 14 from both sides: -12x = -24", "Divide both sides by -12: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x + 14 = x - 10", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 14, \"d\": -10, \"x\": 2}", "seed": "15862072146555994918", "semantic_fingerprint": "sha256:b0282d3dd6a405bb2035f3aa0f6463f912a65e09201b4b3f82466aec4510d0f4", "generator_version": "3.0"}
{"id": "v3_val_00003158", "prompt": "Calculate: (-442 - 178) * 0", "solution_steps": ["Subtract: -442 - 178 = -620", "Multiply: -620 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-442 - 178) * 0", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -442, \"b\": 178, \"c\": 0}", "seed": "13281641135619060768", "semantic_fingerprint": "sha256:eb0e77d09dfdb9fc2ded7134888b14c9cf521a5de431780ec3051cb3d86a6844", "generator_version": "3.0"}
{"id": "v3_val_00003159", "prompt": "Find x: -4x - 95 = x", "solution_steps": ["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": "-4x - 95 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"c\": -95, \"x\": -19}", "seed": "117165514243549670", "semantic_fingerprint": "sha256:bdb6d7723ecd9e6117ace097b9cce76fc1db815686c2cc92853e31bcf857d4cc", "generator_version": "3.0"}
{"id": "v3_val_00003160", "prompt": "Evaluate: 151 - (-11)", "solution_steps": ["Subtract: 151 - (-11) = 162"], "final_answer": "162", "answer_type": "integer", "kind": "expression", "math_text": "151 - (-11)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 151, \"b\": -11}", "seed": "2409551401343688145", "semantic_fingerprint": "sha256:af5dfce3009fce78c59e324af56e1aef5b15405361f1aae1f62f4f37b164d24e", "generator_version": "3.0"}
{"id": "v3_val_00003161", "prompt": "Calculate: -52 + 67 + 822", "solution_steps": ["Add: -52 + 67 = 15", "Add: 15 + 822 = 837"], "final_answer": "837", "answer_type": "integer", "kind": "expression", "math_text": "-52 + 67 + 822", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 67, \"c\": 822}", "seed": "2335993973010448109", "semantic_fingerprint": "sha256:d3fcf1cc35e881e1098bb708a7e26999f6cc7dfd1c330aa38ce6d40f78028727", "generator_version": "3.0"}
{"id": "v3_val_00003162", "prompt": "What is -270 + 306 - (-54)?", "solution_steps": ["Add: -270 + 306 = 36", "Subtract: 36 - (-54) = 90"], "final_answer": "90", "answer_type": "integer", "kind": "expression", "math_text": "-270 + 306 - (-54)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -270, \"b\": 306, \"c\": -54}", "seed": "2285208406528935137", "semantic_fingerprint": "sha256:5dfcb4d7092cd2dc556553ec0d357010b0410b005b73812360a71b1d7ec98174", "generator_version": "3.0"}
{"id": "v3_val_00003163", "prompt": "Solve the equation -9x - 5 = x - 14 for x.", "solution_steps": ["Subtract x from both sides: -10x - 5 = -14", "Add 5 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": "-9x - 5 = x - 14", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 14}", "seed": "1691607096038688806", "semantic_fingerprint": "sha256:697203871bab2e5cb2c0d2a4161b33bf72fb1b21acd53d1ccf30276ffde49500", "generator_version": "3.0"}
{"id": "v3_val_00003164", "prompt": "Compute: (5 - 4) * (-809) * 226 / (-6)", "solution_steps": ["Subtract: 5 - 4 = 1", "Multiply: 1 * (-809) = -809", "Multiply: -809 * 226 = -182834", "Divide: -182834 / (-6) = 91417/3"], "final_answer": "91417/3", "answer_type": "rational", "kind": "expression", "math_text": "(5 - 4) * (-809) * 226 / (-6)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": -809, \"d\": 226, \"e\": -6}", "seed": "11023925629569945001", "semantic_fingerprint": "sha256:cb24da2094212803e73ba32774175f9a1e2214cd7327b08e432ff72d23239521", "generator_version": "3.0"}
{"id": "v3_val_00003165", "prompt": "Evaluate: 7 / (-56)", "solution_steps": ["Divide: 7 / (-56) = -1/8"], "final_answer": "-1/8", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-56)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -56}", "seed": "5311327591216764819", "semantic_fingerprint": "sha256:e9517c52c1d41155e7f3efb084acf881e5e372c3d4d20eed90bc7b098493beb2", "generator_version": "3.0"}
{"id": "v3_val_00003166", "prompt": "What is -92 * (14 * 3 / (-4 + (-892)))?", "solution_steps": ["Multiply: 14 * 3 = 42", "Add: -4 + (-892) = -896", "Divide: 42 / (-896) = -3/64", "Multiply: -92 * (-3/64) = 69/16"], "final_answer": "69/16", "answer_type": "rational", "kind": "expression", "math_text": "-92 * (14 * 3 / (-4 + (-892)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 14, \"c\": 3, \"d\": -4, \"e\": -892}", "seed": "14682465524789398180", "semantic_fingerprint": "sha256:dd4011761d3c6b042ecdb25c28c64f71c9fc3fe473e877353bfde9858a3fac00", "generator_version": "3.0"}
{"id": "v3_val_00003167", "prompt": "Compute: (46 + (-57)) * (-5 * (-1)) / (-73)", "solution_steps": ["Add: 46 + (-57) = -11", "Multiply: -5 * (-1) = 5", "Multiply: -11 * 5 = -55", "Divide: -55 / (-73) = 55/73"], "final_answer": "55/73", "answer_type": "rational", "kind": "expression", "math_text": "(46 + (-57)) * (-5 * (-1)) / (-73)", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -57, \"c\": -5, \"d\": -1, \"e\": -73}", "seed": "15359337835275864747", "semantic_fingerprint": "sha256:27ee6216f97d0d834945c367b0f7ae2bdc71fd302f5d834c5d60a4478f4a886b", "generator_version": "3.0"}
{"id": "v3_val_00003168", "prompt": "Compute: -38 + 546", "solution_steps": ["Add: -38 + 546 = 508"], "final_answer": "508", "answer_type": "integer", "kind": "expression", "math_text": "-38 + 546", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 546}", "seed": "581955416161315019", "semantic_fingerprint": "sha256:d83716d433f154658aa337999946ce4a9ec8e726c44eaecb3cfa1dd6694bfd88", "generator_version": "3.0"}
{"id": "v3_val_00003169", "prompt": "What is -226 / (-23 - (-466))?", "solution_steps": ["Subtract: -23 - (-466) = 443", "Divide: -226 / 443 = -226/443"], "final_answer": "-226/443", "answer_type": "rational", "kind": "expression", "math_text": "-226 / (-23 - (-466))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -226, \"b\": -23, \"c\": -466}", "seed": "7394768818825984755", "semantic_fingerprint": "sha256:215876974f34216a91844a9e0cb9d9072886a22989f4e3b0cf8265fde2b5fc11", "generator_version": "3.0"}
{"id": "v3_val_00003170", "prompt": "Compute: 2 / 8 + 70", "solution_steps": ["Divide: 2 / 8 = 1/4", "Add: 1/4 + 70 = 281/4"], "final_answer": "281/4", "answer_type": "rational", "kind": "expression", "math_text": "2 / 8 + 70", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 70}", "seed": "8601295559923180519", "semantic_fingerprint": "sha256:77945f9a3f60fc17c104cda7d2499d1defb76eb9bed727fbb262bd8eea222c2d", "generator_version": "3.0"}
{"id": "v3_val_00003171", "prompt": "Evaluate: (43 - (-67 + 87)) / (-63 * (-989))", "solution_steps": ["Add: -67 + 87 = 20", "Subtract: 43 - 20 = 23", "Multiply: -63 * (-989) = 62307", "Divide: 23 / 62307 = 1/2709"], "final_answer": "1/2709", "answer_type": "rational", "kind": "expression", "math_text": "(43 - (-67 + 87)) / (-63 * (-989))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -67, \"c\": 87, \"d\": -63, \"e\": -989}", "seed": "10784185547405774289", "semantic_fingerprint": "sha256:e29fcf72366733ac2b00c9033d85c68df600bc0f1aaf81268cefb09ea15341fd", "generator_version": "3.0"}
{"id": "v3_val_00003172", "prompt": "What is 0 * (0 * (-41 + 73))?", "solution_steps": ["Add: -41 + 73 = 32", "Multiply: 0 * 32 = 0", "Multiply: 0 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (0 * (-41 + 73))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": -41, \"d\": 73}", "seed": "2837748807591543409", "semantic_fingerprint": "sha256:86c9ba4ded860ad44115d75b12df97a34fc525e6613752c21284fd9b38881168", "generator_version": "3.0"}
{"id": "v3_val_00003173", "prompt": "Evaluate: -2 * (-4) - (-95 + (-964))", "solution_steps": ["Multiply: -2 * (-4) = 8", "Add: -95 + (-964) = -1059", "Subtract: 8 - (-1059) = 1067"], "final_answer": "1067", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-4) - (-95 + (-964))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -4, \"c\": -95, \"d\": -964}", "seed": "13423799745930332508", "semantic_fingerprint": "sha256:fadd9329fd05db9bddd311c038f1a16b30b8ca53f3db198d491ead23ae2fe3b3", "generator_version": "3.0"}
{"id": "v3_val_00003174", "prompt": "Evaluate: 68 * (-57 + (-943))", "solution_steps": ["Add: -57 + (-943) = -1000", "Multiply: 68 * (-1000) = -68000"], "final_answer": "-68000", "answer_type": "integer", "kind": "expression", "math_text": "68 * (-57 + (-943))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -57, \"c\": -943}", "seed": "13587699713908772694", "semantic_fingerprint": "sha256:7b3b5eab7fd25e55b4890935a15e990eb9388dcc8a1d278ea6c5fd81951483cc", "generator_version": "3.0"}
{"id": "v3_val_00003175", "prompt": "Calculate: 8 / (3 - (-3)) / (-498)", "solution_steps": ["Subtract: 3 - (-3) = 6", "Divide: 8 / 6 = 4/3", "Divide: (4/3) / (-498) = -2/747"], "final_answer": "-2/747", "answer_type": "rational", "kind": "expression", "math_text": "8 / (3 - (-3)) / (-498)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": -3, \"d\": -498}", "seed": "16719687018810366864", "semantic_fingerprint": "sha256:f8528bae189baac5c6c03beaa61cdf96628c797e61058706dfed4327d7a3d8ba", "generator_version": "3.0"}
{"id": "v3_val_00003176", "prompt": "What is -9 - (4 + 46 / (-2))?", "solution_steps": ["Divide: 46 / (-2) = -23", "Add: 4 + (-23) = -19", "Subtract: -9 - (-19) = 10"], "final_answer": "10", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (4 + 46 / (-2))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"c\": 46, \"d\": -2}", "seed": "240883113220891651", "semantic_fingerprint": "sha256:d75319c93083cb2f890bffd6b55c7f038365c0cdc0d0aa49048f421f1ee57d4e", "generator_version": "3.0"}
{"id": "v3_val_00003177", "prompt": "Solve for x: -6x - 59 = -2x + 83", "solution_steps": ["Add 2x to both sides: -4x - 59 = 83", "Add 59 to both sides: -4x = 142", "Divide both sides by -4: x = -71/2"], "final_answer": "-71/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x - 59 = -2x + 83", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 59, \"c\": -2, \"d\": 83}", "seed": "13626737647944582697", "semantic_fingerprint": "sha256:caba4eeebe60ed924780cbf91bf2cfe9959edb3f403526a2e4fca99829fb2521", "generator_version": "3.0"}
{"id": "v3_val_00003178", "prompt": "Solve the equation 11(x + 60) = x + 620 for x.", "solution_steps": ["Expand: 11x + 660 = x + 620", "Subtract x from both sides: 10x + 660 = 620", "Subtract 660 from both sides: 10x = -40", "Divide both sides by 10: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 60) = x + 620", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 60, \"d\": 620, \"x\": -4}", "seed": "6134557685036386772", "semantic_fingerprint": "sha256:a8bb60a3e3c24f49c7aaee06b4ed03bcc6efa8ad408b5ceb1cabe6472aa42242", "generator_version": "3.0"}
{"id": "v3_val_00003179", "prompt": "Solve for x: -3(x + 1) = 7(x + 8)", "solution_steps": ["Expand: -3x - 3 = 7(x + 8)", "Expand: -3x - 3 = 7x + 56", "Subtract 7x from both sides: -10x - 3 = 56", "Add 3 to both sides: -10x = 59", "Divide both sides by -10: x = -59/10"], "final_answer": "-59/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 1) = 7(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": 7, \"d\": 8}", "seed": "2074074690252014087", "semantic_fingerprint": "sha256:81a3250d88be25f977d2e1003e56d0542a8828a243e881c6c57a9c9eb603b1ed", "generator_version": "3.0"}
{"id": "v3_val_00003180", "prompt": "What value of x satisfies 6x + 124 = 76?", "solution_steps": ["Subtract 124 from both sides: 6x = -48", "Divide both sides by 6: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 124 = 76", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 124, \"d\": 76, \"x\": -8}", "seed": "8513086715468601409", "semantic_fingerprint": "sha256:8277d6776802db2494a7ee507a5b08a18124283ca57a0272834aa57670edb74e", "generator_version": "3.0"}
{"id": "v3_val_00003181", "prompt": "What value of x satisfies -11(x + 6) + 570 = 658?", "solution_steps": ["Expand: -11x - 66 + 570 = 658", "Combine constants: -11x + 504 = 658", "Subtract 504 from both sides: -11x = 154", "Divide both sides by -11: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 6) + 570 = 658", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 570, \"e\": 658, \"x\": -14}", "seed": "17787707571050512192", "semantic_fingerprint": "sha256:26af0854862e0c40edba4422bd9778a74e4c41dee0f13e7f01ac39ef8bf03a23", "generator_version": "3.0"}
{"id": "v3_val_00003182", "prompt": "What value of x satisfies x = 12(x + 12) + 43?", "solution_steps": ["Expand: x = 12x + 144 + 43", "Combine constants: x = 12x + 187", "Subtract 12x from both sides: -11x = 187", "Divide both sides by -11: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 12(x + 12) + 43", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 12, \"d\": 43, \"x\": -17}", "seed": "17417476211992188695", "semantic_fingerprint": "sha256:93f2f3ed228ed8a4d1cd4dee307d0502c28e86eb5b0876352a0f28fe2c0b4f6c", "generator_version": "3.0"}
{"id": "v3_val_00003183", "prompt": "What is -4 - (-25)?", "solution_steps": ["Subtract: -4 - (-25) = 21"], "final_answer": "21", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-25)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -25}", "seed": "4444632129893650767", "semantic_fingerprint": "sha256:fcefc2f8754a3b07dfbadc68567714ea9a06101e1198035bc55eddac907791c3", "generator_version": "3.0"}
{"id": "v3_val_00003184", "prompt": "Solve the equation 4x = x - 43 for x.", "solution_steps": ["Subtract x from both sides: 3x = -43", "Divide both sides by 3: x = -43/3"], "final_answer": "-43/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = x - 43", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 43}", "seed": "4679981392802476446", "semantic_fingerprint": "sha256:2cc3698327ca0813e055e0c3854e40c3a828ab73931232720765ac6815b7b6a8", "generator_version": "3.0"}
{"id": "v3_val_00003185", "prompt": "Find x: 2(x - 91) = 7(x + 8)", "solution_steps": ["Expand: 2x - 182 = 7(x + 8)", "Expand: 2x - 182 = 7x + 56", "Subtract 7x from both sides: -5x - 182 = 56", "Add 182 to both sides: -5x = 238", "Divide both sides by -5: x = -238/5"], "final_answer": "-238/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 91) = 7(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 91, \"c\": 7, \"d\": 8}", "seed": "5992570104687430431", "semantic_fingerprint": "sha256:71576f9e701b3b1c8510f802ea6240cd59c57b651c54cde27f655f00b5ea31a5", "generator_version": "3.0"}
{"id": "v3_val_00003186", "prompt": "What value of x satisfies 8(x - 80) = 4(x + 9)?", "solution_steps": ["Expand: 8x - 640 = 4(x + 9)", "Expand: 8x - 640 = 4x + 36", "Subtract 4x from both sides: 4x - 640 = 36", "Add 640 to both sides: 4x = 676", "Divide both sides by 4: x = 169"], "final_answer": "169", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 80) = 4(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 80, \"c\": 4, \"d\": 9}", "seed": "10910489021479610606", "semantic_fingerprint": "sha256:cd2a24fcc9215b7e59b027bce2ed04a14edc93539c8c8436fb5d357b28f813af", "generator_version": "3.0"}
{"id": "v3_val_00003187", "prompt": "Evaluate: -5 * (-511 * 17)", "solution_steps": ["Multiply: -511 * 17 = -8687", "Multiply: -5 * (-8687) = 43435"], "final_answer": "43435", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-511 * 17)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -511, \"c\": 17}", "seed": "2370243510710886438", "semantic_fingerprint": "sha256:31db9a532c2b281c37eec636287062eb25bf73cb6f908218572f2b08e69a78cd", "generator_version": "3.0"}
{"id": "v3_val_00003188", "prompt": "Compute: 5 / 22", "solution_steps": ["Divide: 5 / 22 = 5/22"], "final_answer": "5/22", "answer_type": "rational", "kind": "expression", "math_text": "5 / 22", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 22}", "seed": "17534569438889890821", "semantic_fingerprint": "sha256:b36e12e14955a1160d48c2312a0f61d7a74ab41466cac65443a03519eae35f93", "generator_version": "3.0"}
{"id": "v3_val_00003189", "prompt": "Compute: 15 * (3 / (27 + (-6)))", "solution_steps": ["Add: 27 + (-6) = 21", "Divide: 3 / 21 = 1/7", "Multiply: 15 * (1/7) = 15/7"], "final_answer": "15/7", "answer_type": "rational", "kind": "expression", "math_text": "15 * (3 / (27 + (-6)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 3, \"c\": 27, \"d\": -6}", "seed": "10622598498065282291", "semantic_fingerprint": "sha256:ed94524571366867dea7b1e2ef0ba22d28e48a0ffb7dbc666ff2a772586e4b8d", "generator_version": "3.0"}
{"id": "v3_val_00003190", "prompt": "Compute: (-584 * 77 - 123) / (-65)", "solution_steps": ["Multiply: -584 * 77 = -44968", "Subtract: -44968 - 123 = -45091", "Divide: -45091 / (-65) = 45091/65"], "final_answer": "45091/65", "answer_type": "rational", "kind": "expression", "math_text": "(-584 * 77 - 123) / (-65)", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -584, \"b\": 77, \"c\": 123, \"d\": -65}", "seed": "2660497345989593096", "semantic_fingerprint": "sha256:6c6d56fd52befc18a28e018d4af2b6119943fdea7416fab040de67052a560e72", "generator_version": "3.0"}
{"id": "v3_val_00003191", "prompt": "Compute: 68 - 78 / (-60)", "solution_steps": ["Divide: 78 / (-60) = -13/10", "Subtract: 68 - (-13/10) = 693/10"], "final_answer": "693/10", "answer_type": "rational", "kind": "expression", "math_text": "68 - 78 / (-60)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 78, \"c\": -60}", "seed": "18363631238853600132", "semantic_fingerprint": "sha256:e61e72b6bdc5671037913b3a0379a2b47b32a2c6de53a11f5275496927824f28", "generator_version": "3.0"}
{"id": "v3_val_00003192", "prompt": "Evaluate: -76 * (-68 + 789)", "solution_steps": ["Add: -68 + 789 = 721", "Multiply: -76 * 721 = -54796"], "final_answer": "-54796", "answer_type": "integer", "kind": "expression", "math_text": "-76 * (-68 + 789)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": -68, \"c\": 789}", "seed": "11010153493370266671", "semantic_fingerprint": "sha256:49aca8abdd68cdc1ca01d8a27f5c918efa5f20b00e5dfce0c3064db439cd4885", "generator_version": "3.0"}
{"id": "v3_val_00003193", "prompt": "What value of x satisfies 9(x + 7) = -3(x + 73) + 54?", "solution_steps": ["Expand: 9x + 63 = -3(x + 73) + 54", "Expand: 9x + 63 = -3x - 219 + 54", "Combine constants: 9x + 63 = -3x - 165", "Add 3x to both sides: 12x + 63 = -165", "Subtract 63 from both sides: 12x = -228", "Divide both sides by 12: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 7) = -3(x + 73) + 54", "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\": -3, \"d\": 73, \"f\": 54, \"x\": -19}", "seed": "7410038722518974409", "semantic_fingerprint": "sha256:0470fa2f4a55d04caa76444b63a31531c731fd5ec19d8631416fe90b90dde8d9", "generator_version": "3.0"}
{"id": "v3_val_00003194", "prompt": "Calculate: 333 / (-598) / 4 / (-4)", "solution_steps": ["Divide: 333 / (-598) = -333/598", "Divide: (-333/598) / 4 = -333/2392", "Divide: (-333/2392) / (-4) = 333/9568"], "final_answer": "333/9568", "answer_type": "rational", "kind": "expression", "math_text": "333 / (-598) / 4 / (-4)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 333, \"b\": -598, \"c\": 4, \"d\": -4}", "seed": "12177823535874210498", "semantic_fingerprint": "sha256:c69fbb5778025e9dd09ace27f023ebee7c0690dccea703335f77af432afabd6d", "generator_version": "3.0"}
{"id": "v3_val_00003195", "prompt": "Evaluate: -6 * (-11 + 4) + (-720) + (-704)", "solution_steps": ["Add: -11 + 4 = -7", "Multiply: -6 * (-7) = 42", "Add: 42 + (-720) = -678", "Add: -678 + (-704) = -1382"], "final_answer": "-1382", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-11 + 4) + (-720) + (-704)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -11, \"c\": 4, \"d\": -720, \"e\": -704}", "seed": "561590557570040840", "semantic_fingerprint": "sha256:f2b8de1f340226d1eb43fb8bd50f04bf8c0fa099080abea9845a8f4b33ce0c9e", "generator_version": "3.0"}
{"id": "v3_val_00003196", "prompt": "Evaluate: (55 + (-55)) * (-17 / (-40)) * (-36)", "solution_steps": ["Add: 55 + (-55) = 0", "Divide: -17 / (-40) = 17/40", "Multiply: 0 * (17/40) = 0", "Multiply: 0 * (-36) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(55 + (-55)) * (-17 / (-40)) * (-36)", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -55, \"c\": -17, \"d\": -40, \"e\": -36}", "seed": "9199590184754063034", "semantic_fingerprint": "sha256:dbedd0db966e8c8ba6a7b341c2abddb2f52f960a2a1606b91add7b54f22961d8", "generator_version": "3.0"}
{"id": "v3_val_00003197", "prompt": "Compute: -51 / 915 * (-90)", "solution_steps": ["Divide: -51 / 915 = -17/305", "Multiply: (-17/305) * (-90) = 306/61"], "final_answer": "306/61", "answer_type": "rational", "kind": "expression", "math_text": "-51 / 915 * (-90)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 915, \"c\": -90}", "seed": "8041079340300922265", "semantic_fingerprint": "sha256:6d2b8695322a037f40af1fcabc91bc3d551fe1d18fad7baee406673dbf3ca1f6", "generator_version": "3.0"}
{"id": "v3_val_00003198", "prompt": "Calculate: -255 / (7 / (-675) / (-5 / 49) * (-54))", "solution_steps": ["Divide: 7 / (-675) = -7/675", "Divide: -5 / 49 = -5/49", "Divide: (-7/675) / (-5/49) = 343/3375", "Multiply: (343/3375) * (-54) = -686/125", "Divide: -255 / (-686/125) = 31875/686"], "final_answer": "31875/686", "answer_type": "rational", "kind": "expression", "math_text": "-255 / (7 / (-675) / (-5 / 49) * (-54))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (/ (/ n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -255, \"b\": 7, \"c\": -675, \"d\": -5, \"e\": 49, \"f\": -54}", "seed": "7812797296878384683", "semantic_fingerprint": "sha256:75236681716d5176239583dd22574c7eac4ebeb7ee9f1d53e79f72a273a1c1e8", "generator_version": "3.0"}
{"id": "v3_val_00003199", "prompt": "What value of x satisfies 10(x + 4) - 89 = 5(x - 80)?", "solution_steps": ["Expand: 10x + 40 - 89 = 5(x - 80)", "Expand: 10x + 40 - 89 = 5x - 400", "Combine constants: 10x - 49 = 5x - 400", "Subtract 5x from both sides: 5x - 49 = -400", "Add 49 to both sides: 5x = -351", "Divide both sides by 5: x = -351/5"], "final_answer": "-351/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 4) - 89 = 5(x - 80)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 89, \"d\": 5, \"e\": 80}", "seed": "9539931822760301967", "semantic_fingerprint": "sha256:68b2c11bad3762c91d17e59d49fe9ad0d2077b331727ef11cb1bb60e94d58f1a", "generator_version": "3.0"}
{"id": "v3_val_00003200", "prompt": "Solve the equation -9x = 12x + 294 for x.", "solution_steps": ["Subtract 12x from both sides: -21x = 294", "Divide both sides by -21: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 12x + 294", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 12, \"d\": 294, \"x\": -14}", "seed": "5236264923042228106", "semantic_fingerprint": "sha256:373064cef256bd36004e075ba29c62b2f935c199351d0bbc8cb7bdba03368a35", "generator_version": "3.0"}
{"id": "v3_val_00003201", "prompt": "Compute: -65 * (-11 / 160)", "solution_steps": ["Divide: -11 / 160 = -11/160", "Multiply: -65 * (-11/160) = 143/32"], "final_answer": "143/32", "answer_type": "rational", "kind": "expression", "math_text": "-65 * (-11 / 160)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -11, \"c\": 160}", "seed": "8806099698789283168", "semantic_fingerprint": "sha256:eaa14ea7952c55a90f74b82b5a11022407cc99354dde253b0c7999371cabbd5f", "generator_version": "3.0"}
{"id": "v3_val_00003202", "prompt": "Compute: 9 * (326 - (43 + (-410))) + (-797)", "solution_steps": ["Add: 43 + (-410) = -367", "Subtract: 326 - (-367) = 693", "Multiply: 9 * 693 = 6237", "Add: 6237 + (-797) = 5440"], "final_answer": "5440", "answer_type": "integer", "kind": "expression", "math_text": "9 * (326 - (43 + (-410))) + (-797)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 326, \"c\": 43, \"d\": -410, \"e\": -797}", "seed": "14155612119494016321", "semantic_fingerprint": "sha256:507394e6a114812a836386a7ec16559cff1d420261e5adbec726861aa05c85cc", "generator_version": "3.0"}
{"id": "v3_val_00003203", "prompt": "What is 64 - (-6) - (-79) * (-362)?", "solution_steps": ["Subtract: 64 - (-6) = 70", "Multiply: -79 * (-362) = 28598", "Subtract: 70 - 28598 = -28528"], "final_answer": "-28528", "answer_type": "integer", "kind": "expression", "math_text": "64 - (-6) - (-79) * (-362)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -6, \"c\": -79, \"d\": -362}", "seed": "11125410655146165556", "semantic_fingerprint": "sha256:746c0d0784f47b06fb3d3b44bd9b7de7f8f88d94d6688c3413d9cde036905ee2", "generator_version": "3.0"}
{"id": "v3_val_00003204", "prompt": "What value of x satisfies x - 9 = -11x?", "solution_steps": ["Add 11x to both sides: 12x - 9 = 0", "Add 9 to both sides: 12x = 9", "Divide both sides by 12: x = 3/4"], "final_answer": "3/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9 = -11x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -11}", "seed": "978845302527861406", "semantic_fingerprint": "sha256:98b966064c3c3ba8cbac870ad13e248c997e485e3467652b6547b58b09ff9a20", "generator_version": "3.0"}
{"id": "v3_val_00003205", "prompt": "Solve for x: 8(x + 4) - 5 = -125", "solution_steps": ["Expand: 8x + 32 - 5 = -125", "Combine constants: 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": "8(x + 4) - 5 = -125", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 5, \"e\": -125, \"x\": -19}", "seed": "8116679735685298324", "semantic_fingerprint": "sha256:a82170520ad655b51368288accd62e875384775ff0afc80de4a0a4c2a91e67fb", "generator_version": "3.0"}
{"id": "v3_val_00003206", "prompt": "What is -1 * (-71)?", "solution_steps": ["Multiply: -1 * (-71) = 71"], "final_answer": "71", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-71)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -71}", "seed": "10439528136258399146", "semantic_fingerprint": "sha256:7bc789556b95d880be56c5334c42c7f96b9fa93700cc98c2e4b298b21e209af5", "generator_version": "3.0"}
{"id": "v3_val_00003207", "prompt": "Solve the equation 11x = 4(x - 56) + 210 for x.", "solution_steps": ["Expand: 11x = 4x - 224 + 210", "Combine constants: 11x = 4x - 14", "Subtract 4x from both sides: 7x = -14", "Divide both sides by 7: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 4(x - 56) + 210", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 56, \"e\": 210, \"x\": -2}", "seed": "15076380727029079225", "semantic_fingerprint": "sha256:abaa6593ab7407f765569a37e35e27bf3e21179d78c2acb56291ddab964f7ebc", "generator_version": "3.0"}
{"id": "v3_val_00003208", "prompt": "Calculate: (-537 / 6 + 46) * (-75 + 56 + (-43))", "solution_steps": ["Divide: -537 / 6 = -179/2", "Add: -179/2 + 46 = -87/2", "Add: -75 + 56 = -19", "Add: -19 + (-43) = -62", "Multiply: (-87/2) * (-62) = 2697"], "final_answer": "2697", "answer_type": "integer", "kind": "expression", "math_text": "(-537 / 6 + 46) * (-75 + 56 + (-43))", "variable": null, "family": "expression_5op", "shape": "(* (+ (/ n n) n) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -537, \"b\": 6, \"c\": 46, \"d\": -75, \"e\": 56, \"f\": -43}", "seed": "15893564314135283863", "semantic_fingerprint": "sha256:7979ac4023402130d3236145a68107af26e897d3a005fb83ecc892f7ee83f990", "generator_version": "3.0"}
{"id": "v3_val_00003209", "prompt": "What is 2 - (3 - 17 / (-88))?", "solution_steps": ["Divide: 17 / (-88) = -17/88", "Subtract: 3 - (-17/88) = 281/88", "Subtract: 2 - 281/88 = -105/88"], "final_answer": "-105/88", "answer_type": "rational", "kind": "expression", "math_text": "2 - (3 - 17 / (-88))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 17, \"d\": -88}", "seed": "15539192936423510309", "semantic_fingerprint": "sha256:590f015d067aacf74fcbf4f095c067593ce927b87c00ffa62ec88ec2a4c8d244", "generator_version": "3.0"}
{"id": "v3_val_00003210", "prompt": "Evaluate: 23 * (-400)", "solution_steps": ["Multiply: 23 * (-400) = -9200"], "final_answer": "-9200", "answer_type": "integer", "kind": "expression", "math_text": "23 * (-400)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -400}", "seed": "9199081182491027102", "semantic_fingerprint": "sha256:41d63774c14d2411804a939b21615414d018dd91991744135d8284ab39663f6e", "generator_version": "3.0"}
{"id": "v3_val_00003211", "prompt": "Compute: 2 - 931 * 42", "solution_steps": ["Multiply: 931 * 42 = 39102", "Subtract: 2 - 39102 = -39100"], "final_answer": "-39100", "answer_type": "integer", "kind": "expression", "math_text": "2 - 931 * 42", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 931, \"c\": 42}", "seed": "10543113414688857494", "semantic_fingerprint": "sha256:9597c4446bdb1c4f3b6063ae2bcaae8daf3dac98db756b7e3dc8f639088eca41", "generator_version": "3.0"}
{"id": "v3_val_00003212", "prompt": "Solve the equation 3(x + 153) - 600 = 9(x - 9) for x.", "solution_steps": ["Expand: 3x + 459 - 600 = 9(x - 9)", "Expand: 3x + 459 - 600 = 9x - 81", "Combine constants: 3x - 141 = 9x - 81", "Subtract 9x from both sides: -6x - 141 = -81", "Add 141 to both sides: -6x = 60", "Divide both sides by -6: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 153) - 600 = 9(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\": 153, \"c\": 9, \"d\": 9, \"f\": -600, \"x\": -10}", "seed": "5922239723674830303", "semantic_fingerprint": "sha256:1cfc67c7e029d72f13057adbc71adfcee1ef82a856f04e62210b002c9c9d6b0e", "generator_version": "3.0"}
{"id": "v3_val_00003213", "prompt": "What is -5 - (-116) - 624?", "solution_steps": ["Subtract: -5 - (-116) = 111", "Subtract: 111 - 624 = -513"], "final_answer": "-513", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-116) - 624", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -116, \"c\": 624}", "seed": "3566036796439340212", "semantic_fingerprint": "sha256:09214ab8502530f9bfefc8d702506363f5631541944e48c933d0dead35d97dc0", "generator_version": "3.0"}
{"id": "v3_val_00003214", "prompt": "Calculate: 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": "9159803496655641544", "semantic_fingerprint": "sha256:ea618cb8e0a0db559a4590dd02cc9c802d5ff78f5f5320937b5bfe2a9865de35", "generator_version": "3.0"}
{"id": "v3_val_00003215", "prompt": "Evaluate: (3 - 781) / 88 * (928 - 37 + 208)", "solution_steps": ["Subtract: 3 - 781 = -778", "Divide: -778 / 88 = -389/44", "Subtract: 928 - 37 = 891", "Add: 891 + 208 = 1099", "Multiply: (-389/44) * 1099 = -427511/44"], "final_answer": "-427511/44", "answer_type": "rational", "kind": "expression", "math_text": "(3 - 781) / 88 * (928 - 37 + 208)", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 781, \"c\": 88, \"d\": 928, \"e\": 37, \"f\": 208}", "seed": "3983474620456532113", "semantic_fingerprint": "sha256:f24bb14ea43b3f6440d01b6d6b6f2dd97b3e764af69cbab304ebd40dff47d9cc", "generator_version": "3.0"}
{"id": "v3_val_00003216", "prompt": "Evaluate: -70 - 4 + (-373) * (-997) + (-97)", "solution_steps": ["Subtract: -70 - 4 = -74", "Multiply: -373 * (-997) = 371881", "Add: -74 + 371881 = 371807", "Add: 371807 + (-97) = 371710"], "final_answer": "371710", "answer_type": "integer", "kind": "expression", "math_text": "-70 - 4 + (-373) * (-997) + (-97)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 4, \"c\": -373, \"d\": -997, \"e\": -97}", "seed": "10058006336053360908", "semantic_fingerprint": "sha256:13ed6c5fac66142c1495d28ad629ccbdede3102cf2f4dc68247215151c666976", "generator_version": "3.0"}
{"id": "v3_val_00003217", "prompt": "Calculate: (393 - (-836)) / 582", "solution_steps": ["Subtract: 393 - (-836) = 1229", "Divide: 1229 / 582 = 1229/582"], "final_answer": "1229/582", "answer_type": "rational", "kind": "expression", "math_text": "(393 - (-836)) / 582", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 393, \"b\": -836, \"c\": 582}", "seed": "12267966535965440981", "semantic_fingerprint": "sha256:3ac4224051516d5cd564fc2f2d45b1a5fa7ec400e984e2f2868a4174e8f113f8", "generator_version": "3.0"}
{"id": "v3_val_00003218", "prompt": "Solve the equation 10(x - 758) - 585 = 5(x + 8) - 776 for x.", "solution_steps": ["Expand: 10x - 7580 - 585 = 5(x + 8) - 776", "Expand: 10x - 7580 - 585 = 5x + 40 - 776", "Combine constants: 10x - 8165 = 5x + 40 - 776", "Combine constants: 10x - 8165 = 5x - 736", "Subtract 5x from both sides: 5x - 8165 = -736", "Add 8165 to both sides: 5x = 7429", "Divide both sides by 5: x = 7429/5"], "final_answer": "7429/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 758) - 585 = 5(x + 8) - 776", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 758, \"c\": 585, \"d\": 5, \"e\": 8, \"f\": 776}", "seed": "9468978794701284610", "semantic_fingerprint": "sha256:0f7c855f42fa36fbce24c24d709ecdeab095898d84b91fe2728859db27f05d88", "generator_version": "3.0"}
{"id": "v3_val_00003219", "prompt": "What value of x satisfies x + 318 = 11(x + 23) - 105?", "solution_steps": ["Expand: x + 318 = 11x + 253 - 105", "Combine constants: x + 318 = 11x + 148", "Subtract 11x from both sides: -10x + 318 = 148", "Subtract 318 from both sides: -10x = -170", "Divide both sides by -10: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 318 = 11(x + 23) - 105", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 318, \"b\": 11, \"c\": 23, \"e\": -105, \"x\": 17}", "seed": "3790466136935241019", "semantic_fingerprint": "sha256:bbd449f6495dc362036b4c5e33223c5d7cff0e4619602e1f9f56133954b75c61", "generator_version": "3.0"}
{"id": "v3_val_00003220", "prompt": "What is 8 * 77 * 1?", "solution_steps": ["Multiply: 8 * 77 = 616", "Multiply: 616 * 1 = 616"], "final_answer": "616", "answer_type": "integer", "kind": "expression", "math_text": "8 * 77 * 1", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 77, \"c\": 1}", "seed": "3237331009499505460", "semantic_fingerprint": "sha256:440a0f569379591b20d08d08e88f8eb56acf9ad4bc9d8698936b6018fa4d64ad", "generator_version": "3.0"}
{"id": "v3_val_00003221", "prompt": "Compute: 99 - (-7) - (-232 + (-1) + (72 + (-6)))", "solution_steps": ["Subtract: 99 - (-7) = 106", "Add: -232 + (-1) = -233", "Add: 72 + (-6) = 66", "Add: -233 + 66 = -167", "Subtract: 106 - (-167) = 273"], "final_answer": "273", "answer_type": "integer", "kind": "expression", "math_text": "99 - (-7) - (-232 + (-1) + (72 + (-6)))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -7, \"c\": -232, \"d\": -1, \"e\": 72, \"f\": -6}", "seed": "14905313074293955900", "semantic_fingerprint": "sha256:2b2f8fcc3289b3458b573979ef0fc82d2efcc8de305c0a5ed96919ccc3ecc5bd", "generator_version": "3.0"}
{"id": "v3_val_00003222", "prompt": "Calculate: 29 - (-485) - 77", "solution_steps": ["Subtract: 29 - (-485) = 514", "Subtract: 514 - 77 = 437"], "final_answer": "437", "answer_type": "integer", "kind": "expression", "math_text": "29 - (-485) - 77", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -485, \"c\": 77}", "seed": "17743430778194401780", "semantic_fingerprint": "sha256:7de4a9609339ebd2d039f9c24e628dedbf05744734fc56a730805ec58f0d0542", "generator_version": "3.0"}
{"id": "v3_val_00003223", "prompt": "Find x: 11(x + 4) + 65 = -7(x + 38) + 195", "solution_steps": ["Expand: 11x + 44 + 65 = -7(x + 38) + 195", "Expand: 11x + 44 + 65 = -7x - 266 + 195", "Combine constants: 11x + 109 = -7x - 266 + 195", "Combine constants: 11x + 109 = -7x - 71", "Add 7x to both sides: 18x + 109 = -71", "Subtract 109 from both sides: 18x = -180", "Divide both sides by 18: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 4) + 65 = -7(x + 38) + 195", "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\": 65, \"d\": -7, \"e\": 38, \"g\": 195, \"x\": -10}", "seed": "11284401041606905939", "semantic_fingerprint": "sha256:d8513bb0c8784d2ed626c084790b5de6a10799d4268a01304cf0df1134622aa1", "generator_version": "3.0"}
{"id": "v3_val_00003224", "prompt": "Evaluate: (-940 + 81) / (-685 / 2 - 6)", "solution_steps": ["Add: -940 + 81 = -859", "Divide: -685 / 2 = -685/2", "Subtract: -685/2 - 6 = -697/2", "Divide: -859 / (-697/2) = 1718/697"], "final_answer": "1718/697", "answer_type": "rational", "kind": "expression", "math_text": "(-940 + 81) / (-685 / 2 - 6)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -940, \"b\": 81, \"c\": -685, \"d\": 2, \"e\": 6}", "seed": "2537166135099230829", "semantic_fingerprint": "sha256:d8f332132cb074ce995b371a341c9fe07add0d01436f16699e3d5383e6c3306a", "generator_version": "3.0"}
{"id": "v3_val_00003225", "prompt": "Calculate: (28 / 1 - 982 / (-28)) / (-67)", "solution_steps": ["Divide: 28 / 1 = 28", "Divide: 982 / (-28) = -491/14", "Subtract: 28 - (-491/14) = 883/14", "Divide: (883/14) / (-67) = -883/938"], "final_answer": "-883/938", "answer_type": "rational", "kind": "expression", "math_text": "(28 / 1 - 982 / (-28)) / (-67)", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 1, \"c\": 982, \"d\": -28, \"e\": -67}", "seed": "892128501642668106", "semantic_fingerprint": "sha256:d77980d8542f7eecbf173e0c5880736567fe08c87dec83c4648df31d5555f75e", "generator_version": "3.0"}
{"id": "v3_val_00003226", "prompt": "What is 134 + (-92) - (-122) * 0 + 71?", "solution_steps": ["Add: 134 + (-92) = 42", "Multiply: -122 * 0 = 0", "Subtract: 42 - 0 = 42", "Add: 42 + 71 = 113"], "final_answer": "113", "answer_type": "integer", "kind": "expression", "math_text": "134 + (-92) - (-122) * 0 + 71", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 134, \"b\": -92, \"c\": -122, \"d\": 0, \"e\": 71}", "seed": "11680828019399607684", "semantic_fingerprint": "sha256:9f0b4fa06ab87675fe8208aa4359b4dbab626b791e47786ef0e880fb79d58898", "generator_version": "3.0"}
{"id": "v3_val_00003227", "prompt": "Compute: (31 + 9) * 72", "solution_steps": ["Add: 31 + 9 = 40", "Multiply: 40 * 72 = 2880"], "final_answer": "2880", "answer_type": "integer", "kind": "expression", "math_text": "(31 + 9) * 72", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 9, \"c\": 72}", "seed": "16479103250821106234", "semantic_fingerprint": "sha256:b0af99d584c3025f6e4a5c98d159a494017409a688bb0c3efd360bfeb3ad3e65", "generator_version": "3.0"}
{"id": "v3_val_00003228", "prompt": "Evaluate: -56 / (-8) / 3", "solution_steps": ["Divide: -56 / (-8) = 7", "Divide: 7 / 3 = 7/3"], "final_answer": "7/3", "answer_type": "rational", "kind": "expression", "math_text": "-56 / (-8) / 3", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -8, \"c\": 3}", "seed": "17633303821067672674", "semantic_fingerprint": "sha256:800c6dc160726e6965736b92fc784f799f50ac83439cac49a7ba841155d8ac4d", "generator_version": "3.0"}
{"id": "v3_val_00003229", "prompt": "Solve for x: -7x - 6 = x + 3", "solution_steps": ["Subtract x from both sides: -8x - 6 = 3", "Add 6 to both sides: -8x = 9", "Divide both sides by -8: x = -9/8"], "final_answer": "-9/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x - 6 = x + 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 3}", "seed": "9407526295419569431", "semantic_fingerprint": "sha256:526c6a135d99c25a5bbf1f0772fce9f13378f3e52e0ea835eab01fc05bd1e36b", "generator_version": "3.0"}
{"id": "v3_val_00003230", "prompt": "Compute: -7 + (-366)", "solution_steps": ["Add: -7 + (-366) = -373"], "final_answer": "-373", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-366)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -366}", "seed": "13403986939228187988", "semantic_fingerprint": "sha256:dd79e115a8e87e5b9a5becc2153fb2912a36ccf46a754c3cbffb6bfc2926c60e", "generator_version": "3.0"}
{"id": "v3_val_00003231", "prompt": "What is 0 / (-8) / (800 / (-88))?", "solution_steps": ["Divide: 0 / (-8) = 0", "Divide: 800 / (-88) = -100/11", "Divide: 0 / (-100/11) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-8) / (800 / (-88))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -8, \"c\": 800, \"d\": -88}", "seed": "5385736051344969354", "semantic_fingerprint": "sha256:d7df67b7c0ffd8cba1cac307c244d1366496a6e98c4d9b3529d5957a29b9eb34", "generator_version": "3.0"}
{"id": "v3_val_00003232", "prompt": "What is -496 - 2?", "solution_steps": ["Subtract: -496 - 2 = -498"], "final_answer": "-498", "answer_type": "integer", "kind": "expression", "math_text": "-496 - 2", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -496, \"b\": 2}", "seed": "10238086050729966625", "semantic_fingerprint": "sha256:9e4e9ffe6c79115fb5947dd2ed3924df27559fb36a41534d497a101de08b1bdd", "generator_version": "3.0"}
{"id": "v3_val_00003233", "prompt": "Calculate: -15 * 4", "solution_steps": ["Multiply: -15 * 4 = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "expression", "math_text": "-15 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 4}", "seed": "15873073179043155036", "semantic_fingerprint": "sha256:d5baa9752c97a377208c790ce0478ed8780a58dc3ebbefbd489eae739ae3420d", "generator_version": "3.0"}
{"id": "v3_val_00003234", "prompt": "Compute: 83 + 655 - (-4)", "solution_steps": ["Add: 83 + 655 = 738", "Subtract: 738 - (-4) = 742"], "final_answer": "742", "answer_type": "integer", "kind": "expression", "math_text": "83 + 655 - (-4)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 655, \"c\": -4}", "seed": "572913817411638825", "semantic_fingerprint": "sha256:aefd0619faff5a1c582749cc21228b9297708fe4d9f3a672a599d38a19b49954", "generator_version": "3.0"}
{"id": "v3_val_00003235", "prompt": "What is 678 - (92 - (-53) + 0)?", "solution_steps": ["Subtract: 92 - (-53) = 145", "Add: 145 + 0 = 145", "Subtract: 678 - 145 = 533"], "final_answer": "533", "answer_type": "integer", "kind": "expression", "math_text": "678 - (92 - (-53) + 0)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 678, \"b\": 92, \"c\": -53, \"d\": 0}", "seed": "10637734235434893297", "semantic_fingerprint": "sha256:cbc62ec24bf7f8730671c89c8c57bc178ea245a1caf5d21d93ab976ed526acac", "generator_version": "3.0"}
{"id": "v3_val_00003236", "prompt": "Calculate: 176 / 5", "solution_steps": ["Divide: 176 / 5 = 176/5"], "final_answer": "176/5", "answer_type": "rational", "kind": "expression", "math_text": "176 / 5", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 176, \"b\": 5}", "seed": "11164156884395129264", "semantic_fingerprint": "sha256:4c96863ce22c89f61a390977c9dfec3a10dd8f835e3216b5585c29873578ff9a", "generator_version": "3.0"}
{"id": "v3_val_00003237", "prompt": "Find x: -6(x + 7) + 94 = 7x", "solution_steps": ["Expand: -6x - 42 + 94 = 7x", "Combine constants: -6x + 52 = 7x", "Subtract 7x from both sides: -13x + 52 = 0", "Subtract 52 from both sides: -13x = -52", "Divide both sides by -13: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 7) + 94 = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": 7, \"e\": 94, \"x\": 4}", "seed": "9699511343098101200", "semantic_fingerprint": "sha256:bafdf70c0055b4ae7c3817613951d0a603b03e8aa7e8ee8b3693d38650e546e9", "generator_version": "3.0"}
{"id": "v3_val_00003238", "prompt": "Calculate: 7 - (-427 / (-44 / (-11)) + (-6))", "solution_steps": ["Divide: -44 / (-11) = 4", "Divide: -427 / 4 = -427/4", "Add: -427/4 + (-6) = -451/4", "Subtract: 7 - (-451/4) = 479/4"], "final_answer": "479/4", "answer_type": "rational", "kind": "expression", "math_text": "7 - (-427 / (-44 / (-11)) + (-6))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (/ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -427, \"c\": -44, \"d\": -11, \"e\": -6}", "seed": "138841845370949902", "semantic_fingerprint": "sha256:b9e0849c7514afa1fb58ff1248df214a024bcd22c4238bcdf650f9dc7c2d2aca", "generator_version": "3.0"}
{"id": "v3_val_00003239", "prompt": "What is -874 * 7 - 571 / (-95)?", "solution_steps": ["Multiply: -874 * 7 = -6118", "Divide: 571 / (-95) = -571/95", "Subtract: -6118 - (-571/95) = -580639/95"], "final_answer": "-580639/95", "answer_type": "rational", "kind": "expression", "math_text": "-874 * 7 - 571 / (-95)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -874, \"b\": 7, \"c\": 571, \"d\": -95}", "seed": "9343506236801698192", "semantic_fingerprint": "sha256:6027b94296be60ff264a6ece80ea53cd746e4026b90b2f60b94566b2bd4f7101", "generator_version": "3.0"}
{"id": "v3_val_00003240", "prompt": "Solve the equation 8x - 468 = 10x + 9 for x.", "solution_steps": ["Subtract 10x from both sides: -2x - 468 = 9", "Add 468 to both sides: -2x = 477", "Divide both sides by -2: x = -477/2"], "final_answer": "-477/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 468 = 10x + 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 468, \"c\": 10, \"d\": 9}", "seed": "2676548136829037066", "semantic_fingerprint": "sha256:09b5531af89a5be72a7533b2d9c5766ebe8b58522813b82c646ece20744efcc4", "generator_version": "3.0"}
{"id": "v3_val_00003241", "prompt": "Solve for x: 5(x - 204) - 24 = x - 972", "solution_steps": ["Expand: 5x - 1020 - 24 = x - 972", "Combine constants: 5x - 1044 = x - 972", "Subtract x from both sides: 4x - 1044 = -972", "Add 1044 to both sides: 4x = 72", "Divide both sides by 4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 204) - 24 = x - 972", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 204, \"c\": 24, \"e\": -972, \"x\": 18}", "seed": "14267738643216478774", "semantic_fingerprint": "sha256:7d481db0df8a85c8d0616db4b5be3469b49503c7d7e29f2d762284599295d00d", "generator_version": "3.0"}
{"id": "v3_val_00003242", "prompt": "Compute: 6 - (6 + 92 * (-6))", "solution_steps": ["Multiply: 92 * (-6) = -552", "Add: 6 + (-552) = -546", "Subtract: 6 - (-546) = 552"], "final_answer": "552", "answer_type": "integer", "kind": "expression", "math_text": "6 - (6 + 92 * (-6))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 92, \"d\": -6}", "seed": "14987358388889236192", "semantic_fingerprint": "sha256:1dedf02be3c128db9f3f12ff3abd450c842ff9946751bffce95ea56a3a86f2df", "generator_version": "3.0"}
{"id": "v3_val_00003243", "prompt": "Evaluate: 81 + (-12)", "solution_steps": ["Add: 81 + (-12) = 69"], "final_answer": "69", "answer_type": "integer", "kind": "expression", "math_text": "81 + (-12)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -12}", "seed": "9726973754216096520", "semantic_fingerprint": "sha256:e0cbe2fd76646d4d549f79c8970f335258628dc2a5bf557a65b90920f44a75a4", "generator_version": "3.0"}
{"id": "v3_val_00003244", "prompt": "What is 434 / (9 + 61) * (-9 / (-925))?", "solution_steps": ["Add: 9 + 61 = 70", "Divide: 434 / 70 = 31/5", "Divide: -9 / (-925) = 9/925", "Multiply: (31/5) * (9/925) = 279/4625"], "final_answer": "279/4625", "answer_type": "rational", "kind": "expression", "math_text": "434 / (9 + 61) * (-9 / (-925))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 434, \"b\": 9, \"c\": 61, \"d\": -9, \"e\": -925}", "seed": "12491284411176216552", "semantic_fingerprint": "sha256:fe996bd9ac8e421a1f25be0c026fd8d85c4d7327c3c4ab4b39fd15321919de78", "generator_version": "3.0"}
{"id": "v3_val_00003245", "prompt": "Find x: 3x + 70 = x - 195", "solution_steps": ["Subtract x from both sides: 2x + 70 = -195", "Subtract 70 from both sides: 2x = -265", "Divide both sides by 2: x = -265/2"], "final_answer": "-265/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x + 70 = x - 195", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 70, \"c\": 195}", "seed": "15948604459999261945", "semantic_fingerprint": "sha256:c9cd72bd7df45728e384b755a82e21bc8af16112f3b577907e8632b636b28b49", "generator_version": "3.0"}
{"id": "v3_val_00003246", "prompt": "Evaluate: 261 - 9", "solution_steps": ["Subtract: 261 - 9 = 252"], "final_answer": "252", "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": "15703897360947161760", "semantic_fingerprint": "sha256:3711906c73515a859fc9df4ebdb9bd2f31c16eae03cf476ae9277daaa0e3702d", "generator_version": "3.0"}
{"id": "v3_val_00003247", "prompt": "Find x: 5x - 4 = -5(x + 331) - 45", "solution_steps": ["Expand: 5x - 4 = -5x - 1655 - 45", "Combine constants: 5x - 4 = -5x - 1700", "Add 5x to both sides: 10x - 4 = -1700", "Add 4 to both sides: 10x = -1696", "Divide both sides by 10: x = -848/5"], "final_answer": "-848/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 4 = -5(x + 331) - 45", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": -5, \"d\": 331, \"e\": 45}", "seed": "447217170110110689", "semantic_fingerprint": "sha256:81a41180d18a0b92e5cf3b95ad637a17ebb2f0a535e7014b86326f44f230b4fa", "generator_version": "3.0"}
{"id": "v3_val_00003248", "prompt": "What is (-1 - 57) / (930 / 5)?", "solution_steps": ["Subtract: -1 - 57 = -58", "Divide: 930 / 5 = 186", "Divide: -58 / 186 = -29/93"], "final_answer": "-29/93", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - 57) / (930 / 5)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 57, \"c\": 930, \"d\": 5}", "seed": "18312055448769354965", "semantic_fingerprint": "sha256:2fb26c3128d96a12624b0429b1364b69ccb10e6413a56c05aa35beb7649734b1", "generator_version": "3.0"}
{"id": "v3_val_00003249", "prompt": "Evaluate: 966 / (-75 * (-16 - (-300))) - (-32)", "solution_steps": ["Subtract: -16 - (-300) = 284", "Multiply: -75 * 284 = -21300", "Divide: 966 / (-21300) = -161/3550", "Subtract: -161/3550 - (-32) = 113439/3550"], "final_answer": "113439/3550", "answer_type": "rational", "kind": "expression", "math_text": "966 / (-75 * (-16 - (-300))) - (-32)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 966, \"b\": -75, \"c\": -16, \"d\": -300, \"e\": -32}", "seed": "17416376284159008190", "semantic_fingerprint": "sha256:035105587ec1fc6bb2e3219bb48c54678003302edc81e52add0967558eda007b", "generator_version": "3.0"}
{"id": "v3_val_00003250", "prompt": "Calculate: 933 * (230 - 9)", "solution_steps": ["Subtract: 230 - 9 = 221", "Multiply: 933 * 221 = 206193"], "final_answer": "206193", "answer_type": "integer", "kind": "expression", "math_text": "933 * (230 - 9)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 933, \"b\": 230, \"c\": 9}", "seed": "6547423859370065912", "semantic_fingerprint": "sha256:4a573c70414d8529d78967e579accfcbded87fa5da91ba063210ece7e20945e8", "generator_version": "3.0"}
{"id": "v3_val_00003251", "prompt": "Find x: 2(x - 18) = -11(x - 89) - 446", "solution_steps": ["Expand: 2x - 36 = -11(x - 89) - 446", "Expand: 2x - 36 = -11x + 979 - 446", "Combine constants: 2x - 36 = -11x + 533", "Add 11x to both sides: 13x - 36 = 533", "Add 36 to both sides: 13x = 569", "Divide both sides by 13: x = 569/13"], "final_answer": "569/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 18) = -11(x - 89) - 446", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 18, \"c\": -11, \"d\": 89, \"e\": 446}", "seed": "3474475131553901708", "semantic_fingerprint": "sha256:4c5a472b8b5209e29dc8429db1004b07f755ab945b57dd7999439f04e3b7a74c", "generator_version": "3.0"}
{"id": "v3_val_00003252", "prompt": "Compute: (3 + (-5) / 4) * (-21) * (3 + 6)", "solution_steps": ["Divide: -5 / 4 = -5/4", "Add: 3 + (-5/4) = 7/4", "Multiply: (7/4) * (-21) = -147/4", "Add: 3 + 6 = 9", "Multiply: (-147/4) * 9 = -1323/4"], "final_answer": "-1323/4", "answer_type": "rational", "kind": "expression", "math_text": "(3 + (-5) / 4) * (-21) * (3 + 6)", "variable": null, "family": "expression_5op", "shape": "(* (* (+ n (/ n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -5, \"c\": 4, \"d\": -21, \"e\": 3, \"f\": 6}", "seed": "14279173753207453318", "semantic_fingerprint": "sha256:d22e1bcc3b5f3bf8ac5d43c555347b907198303d6c0ed73afb729696fff415bb", "generator_version": "3.0"}
{"id": "v3_val_00003253", "prompt": "What is (-819 - (-48)) * 28 * (-7 * (-5))?", "solution_steps": ["Subtract: -819 - (-48) = -771", "Multiply: -771 * 28 = -21588", "Multiply: -7 * (-5) = 35", "Multiply: -21588 * 35 = -755580"], "final_answer": "-755580", "answer_type": "integer", "kind": "expression", "math_text": "(-819 - (-48)) * 28 * (-7 * (-5))", "variable": null, "family": "expression_4op", "shape": "(* (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -819, \"b\": -48, \"c\": 28, \"d\": -7, \"e\": -5}", "seed": "12086753164555840958", "semantic_fingerprint": "sha256:d4d3699353ce3707876f84cff596490a3d8f3e27d7737bfa19d32a4274b46a2f", "generator_version": "3.0"}
{"id": "v3_val_00003254", "prompt": "What value of x satisfies -9(x - 62) + 3 = 10(x - 37) + 855?", "solution_steps": ["Expand: -9x + 558 + 3 = 10(x - 37) + 855", "Expand: -9x + 558 + 3 = 10x - 370 + 855", "Combine constants: -9x + 561 = 10x - 370 + 855", "Combine constants: -9x + 561 = 10x + 485", "Subtract 10x from both sides: -19x + 561 = 485", "Subtract 561 from both sides: -19x = -76", "Divide both sides by -19: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 62) + 3 = 10(x - 37) + 855", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 62, \"c\": 3, \"d\": 10, \"e\": 37, \"g\": 855, \"x\": 4}", "seed": "16824399738430213555", "semantic_fingerprint": "sha256:38780f5204e0006ccb6b2c3d3dde77a5cdd7d211f22b3212191af41c2511a094", "generator_version": "3.0"}
{"id": "v3_val_00003255", "prompt": "What is -565 - (-41 + (-80))?", "solution_steps": ["Add: -41 + (-80) = -121", "Subtract: -565 - (-121) = -444"], "final_answer": "-444", "answer_type": "integer", "kind": "expression", "math_text": "-565 - (-41 + (-80))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -565, \"b\": -41, \"c\": -80}", "seed": "13529603702166755620", "semantic_fingerprint": "sha256:20cb728cb091cc5e67a84c021568408a4ae81c600d730702214732e03e781385", "generator_version": "3.0"}
{"id": "v3_val_00003256", "prompt": "Evaluate: -1 + (8 + (-1 - 7))", "solution_steps": ["Subtract: -1 - 7 = -8", "Add: 8 + (-8) = 0", "Add: -1 + 0 = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (8 + (-1 - 7))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 8, \"c\": -1, \"d\": 7}", "seed": "5387317300148399446", "semantic_fingerprint": "sha256:9504da7e13df1aea95bdc9e7ec11c09f6ae2e7b4ad3964ce389169244f197062", "generator_version": "3.0"}
{"id": "v3_val_00003257", "prompt": "What value of x satisfies 9x = 12x - 15?", "solution_steps": ["Subtract 12x from both sides: -3x = -15", "Divide both sides by -3: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 12x - 15", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"d\": -15, \"x\": 5}", "seed": "1097538751947009280", "semantic_fingerprint": "sha256:77f5c713c771bfb34445f3e28306237b33d39893a32758bf5174dd8fdbb77ab0", "generator_version": "3.0"}
{"id": "v3_val_00003258", "prompt": "Compute: 4 / (9 + (5 - (-1) / (-7)))", "solution_steps": ["Divide: -1 / (-7) = 1/7", "Subtract: 5 - 1/7 = 34/7", "Add: 9 + 34/7 = 97/7", "Divide: 4 / (97/7) = 28/97"], "final_answer": "28/97", "answer_type": "rational", "kind": "expression", "math_text": "4 / (9 + (5 - (-1) / (-7)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 5, \"d\": -1, \"e\": -7}", "seed": "13098162854404775839", "semantic_fingerprint": "sha256:096a1fd6be2ab6cb2e715020b0b7f8432f80f29c36397744597d3d8acf02127f", "generator_version": "3.0"}
{"id": "v3_val_00003259", "prompt": "Calculate: -180 * (-92) - (94 - (-1)) / (-47)", "solution_steps": ["Multiply: -180 * (-92) = 16560", "Subtract: 94 - (-1) = 95", "Divide: 95 / (-47) = -95/47", "Subtract: 16560 - (-95/47) = 778415/47"], "final_answer": "778415/47", "answer_type": "rational", "kind": "expression", "math_text": "-180 * (-92) - (94 - (-1)) / (-47)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -180, \"b\": -92, \"c\": 94, \"d\": -1, \"e\": -47}", "seed": "10647616676306079555", "semantic_fingerprint": "sha256:10070e19899ff76764125a360ae797bdbca6ed30a8578908ec49af43ab8a7606", "generator_version": "3.0"}
{"id": "v3_val_00003260", "prompt": "Solve the equation 4(x + 98) + 4 = 12(x - 6) + 356 for x.", "solution_steps": ["Expand: 4x + 392 + 4 = 12(x - 6) + 356", "Expand: 4x + 392 + 4 = 12x - 72 + 356", "Combine constants: 4x + 396 = 12x - 72 + 356", "Combine constants: 4x + 396 = 12x + 284", "Subtract 12x from both sides: -8x + 396 = 284", "Subtract 396 from both sides: -8x = -112", "Divide both sides by -8: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 98) + 4 = 12(x - 6) + 356", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 98, \"c\": 4, \"d\": 12, \"e\": 6, \"g\": 356, \"x\": 14}", "seed": "686780834340989043", "semantic_fingerprint": "sha256:4fa24508235a1daafd4555b5556c27ddf2bab332271cd0decc787f779be7210c", "generator_version": "3.0"}
{"id": "v3_val_00003261", "prompt": "Compute: 67 + (950 + 885)", "solution_steps": ["Add: 950 + 885 = 1835", "Add: 67 + 1835 = 1902"], "final_answer": "1902", "answer_type": "integer", "kind": "expression", "math_text": "67 + (950 + 885)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 950, \"c\": 885}", "seed": "18054440354463597172", "semantic_fingerprint": "sha256:f1a505fe6e484e66ba280443e76ced4a6e2e48e4facd4072bc46b4399f0f81d4", "generator_version": "3.0"}
{"id": "v3_val_00003262", "prompt": "Calculate: 76 + 57 - (-921)", "solution_steps": ["Add: 76 + 57 = 133", "Subtract: 133 - (-921) = 1054"], "final_answer": "1054", "answer_type": "integer", "kind": "expression", "math_text": "76 + 57 - (-921)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 57, \"c\": -921}", "seed": "13310970463600973140", "semantic_fingerprint": "sha256:f1a7d3c25afba930423e613d1335141b4d05903aa52617649673a93cf88d1586", "generator_version": "3.0"}
{"id": "v3_val_00003263", "prompt": "Compute: -3 + (29 - 780 + (8 + (-9)))", "solution_steps": ["Subtract: 29 - 780 = -751", "Add: 8 + (-9) = -1", "Add: -751 + (-1) = -752", "Add: -3 + (-752) = -755"], "final_answer": "-755", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (29 - 780 + (8 + (-9)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 29, \"c\": 780, \"d\": 8, \"e\": -9}", "seed": "17646182083923651163", "semantic_fingerprint": "sha256:da29d7271b3b9390dbca616639c08cd80ea1e8aa18c23dfba0ea5845cf9d26d3", "generator_version": "3.0"}
{"id": "v3_val_00003264", "prompt": "Solve the equation x = 12(x + 7) - 106 for x.", "solution_steps": ["Expand: x = 12x + 84 - 106", "Combine constants: x = 12x - 22", "Subtract 12x from both sides: -11x = -22", "Divide both sides by -11: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 12(x + 7) - 106", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"d\": -106, \"x\": 2}", "seed": "16205025059123490919", "semantic_fingerprint": "sha256:51d2f3a87a65ee4637df1d6392b390ca3140939df50482bffff4a33054d5abe0", "generator_version": "3.0"}
{"id": "v3_val_00003265", "prompt": "Calculate: -785 / (-33) * 525 / 59", "solution_steps": ["Divide: -785 / (-33) = 785/33", "Multiply: (785/33) * 525 = 137375/11", "Divide: (137375/11) / 59 = 137375/649"], "final_answer": "137375/649", "answer_type": "rational", "kind": "expression", "math_text": "-785 / (-33) * 525 / 59", "variable": null, "family": "expression_3op", "shape": "(/ (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -785, \"b\": -33, \"c\": 525, \"d\": 59}", "seed": "3621333461519713467", "semantic_fingerprint": "sha256:71793c31ebcd7710ac07f7f0fb7d46e79f1d96352f3b855066f99294a8952e7b", "generator_version": "3.0"}
{"id": "v3_val_00003266", "prompt": "Solve the equation 6x = -6(x - 1) - 54 for x.", "solution_steps": ["Expand: 6x = -6x + 6 - 54", "Combine constants: 6x = -6x - 48", "Add 6x to both sides: 12x = -48", "Divide both sides by 12: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = -6(x - 1) - 54", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -6, \"c\": 1, \"e\": -54, \"x\": -4}", "seed": "15604959808751671843", "semantic_fingerprint": "sha256:ba993e1a58d24c34900f9a6c4762baaa19033619abe283a23104dcb1c14f5b42", "generator_version": "3.0"}
{"id": "v3_val_00003267", "prompt": "What is 972 / (-14 - (-473)) + 0 - (7 + 267)?", "solution_steps": ["Subtract: -14 - (-473) = 459", "Divide: 972 / 459 = 36/17", "Add: 36/17 + 0 = 36/17", "Add: 7 + 267 = 274", "Subtract: 36/17 - 274 = -4622/17"], "final_answer": "-4622/17", "answer_type": "rational", "kind": "expression", "math_text": "972 / (-14 - (-473)) + 0 - (7 + 267)", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ n (- n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 972, \"b\": -14, \"c\": -473, \"d\": 0, \"e\": 7, \"f\": 267}", "seed": "922375620641957032", "semantic_fingerprint": "sha256:ce449c8bb0f582273ab62c94c1490f7db9ab9ea9052f146199e491e40cb167c2", "generator_version": "3.0"}
{"id": "v3_val_00003268", "prompt": "Solve for x: x = -5x + 86", "solution_steps": ["Add 5x to both sides: 6x = 86", "Divide both sides by 6: x = 43/3"], "final_answer": "43/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -5x + 86", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 86}", "seed": "11683637850542306606", "semantic_fingerprint": "sha256:6825fba52ed0e09735f8767c8c7efabf7a8e5b6f091c38ba93811b18066814e6", "generator_version": "3.0"}
{"id": "v3_val_00003269", "prompt": "Solve for x: 12(x - 971) = x + 9", "solution_steps": ["Expand: 12x - 11652 = x + 9", "Subtract x from both sides: 11x - 11652 = 9", "Add 11652 to both sides: 11x = 11661", "Divide both sides by 11: x = 11661/11"], "final_answer": "11661/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 971) = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 971, \"c\": 9}", "seed": "7271809336786494467", "semantic_fingerprint": "sha256:e1df08f985d7804297e393a669a82e71419bfe3591dc7364bc5ffa8459b9a656", "generator_version": "3.0"}
{"id": "v3_val_00003270", "prompt": "What is -749 * (-295 + 78)?", "solution_steps": ["Add: -295 + 78 = -217", "Multiply: -749 * (-217) = 162533"], "final_answer": "162533", "answer_type": "integer", "kind": "expression", "math_text": "-749 * (-295 + 78)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -749, \"b\": -295, \"c\": 78}", "seed": "11923995755212337887", "semantic_fingerprint": "sha256:a35349fe50cb407e1c3de1bc478d1fa7315218e2d4250fe7bc7c17794004248c", "generator_version": "3.0"}
{"id": "v3_val_00003271", "prompt": "What is -679 / 371 + (-69)?", "solution_steps": ["Divide: -679 / 371 = -97/53", "Add: -97/53 + (-69) = -3754/53"], "final_answer": "-3754/53", "answer_type": "rational", "kind": "expression", "math_text": "-679 / 371 + (-69)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -679, \"b\": 371, \"c\": -69}", "seed": "13244742067474752715", "semantic_fingerprint": "sha256:c92dfaf0f337403f1346fdb0061d42bbcb5ca3157863e121097cba3bf35739d9", "generator_version": "3.0"}
{"id": "v3_val_00003272", "prompt": "What is 14 * (487 / (-7)) / 3?", "solution_steps": ["Divide: 487 / (-7) = -487/7", "Multiply: 14 * (-487/7) = -974", "Divide: -974 / 3 = -974/3"], "final_answer": "-974/3", "answer_type": "rational", "kind": "expression", "math_text": "14 * (487 / (-7)) / 3", "variable": null, "family": "expression_3op", "shape": "(/ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 487, \"c\": -7, \"d\": 3}", "seed": "4829900090897398909", "semantic_fingerprint": "sha256:bb2add902b4d54f4df16babf3359a6e6da0f5650c823b49830317e17cef561b5", "generator_version": "3.0"}
{"id": "v3_val_00003273", "prompt": "Evaluate: 48 + (45 + (-887) * 849)", "solution_steps": ["Multiply: -887 * 849 = -753063", "Add: 45 + (-753063) = -753018", "Add: 48 + (-753018) = -752970"], "final_answer": "-752970", "answer_type": "integer", "kind": "expression", "math_text": "48 + (45 + (-887) * 849)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 45, \"c\": -887, \"d\": 849}", "seed": "16528992530563676031", "semantic_fingerprint": "sha256:c55cf87079a12024ac872073f9736e7bf6562e658c636df1096500ca9d60d4c1", "generator_version": "3.0"}
{"id": "v3_val_00003274", "prompt": "Calculate: -26 - (2 - 850) - (9 - (-3))", "solution_steps": ["Subtract: 2 - 850 = -848", "Subtract: -26 - (-848) = 822", "Subtract: 9 - (-3) = 12", "Subtract: 822 - 12 = 810"], "final_answer": "810", "answer_type": "integer", "kind": "expression", "math_text": "-26 - (2 - 850) - (9 - (-3))", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 2, \"c\": 850, \"d\": 9, \"e\": -3}", "seed": "1090438569296716723", "semantic_fingerprint": "sha256:60579b74ab0d4639431e56316c7f0bf6ebc5c586338b18777914f08fb1c83d1d", "generator_version": "3.0"}
{"id": "v3_val_00003275", "prompt": "Compute: (582 + 1) * (-8) + (-58) + (-4) / (-49)", "solution_steps": ["Add: 582 + 1 = 583", "Multiply: 583 * (-8) = -4664", "Add: -4664 + (-58) = -4722", "Divide: -4 / (-49) = 4/49", "Add: -4722 + 4/49 = -231374/49"], "final_answer": "-231374/49", "answer_type": "rational", "kind": "expression", "math_text": "(582 + 1) * (-8) + (-58) + (-4) / (-49)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* (+ n n) n) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 582, \"b\": 1, \"c\": -8, \"d\": -58, \"e\": -4, \"f\": -49}", "seed": "6320683013022660441", "semantic_fingerprint": "sha256:284dec83f787adf37a002b9b5b778ff2c461d615e1044ed431ffd5339ea42216", "generator_version": "3.0"}
{"id": "v3_val_00003276", "prompt": "What is -6 + (-61) + (7 + (-231)) - (-5) * (-7)?", "solution_steps": ["Add: -6 + (-61) = -67", "Add: 7 + (-231) = -224", "Add: -67 + (-224) = -291", "Multiply: -5 * (-7) = 35", "Subtract: -291 - 35 = -326"], "final_answer": "-326", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-61) + (7 + (-231)) - (-5) * (-7)", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -61, \"c\": 7, \"d\": -231, \"e\": -5, \"f\": -7}", "seed": "4685977309224593214", "semantic_fingerprint": "sha256:1a88a9027f604526b488297676cea08929da2a71612f79266d3d89db45c5f2c5", "generator_version": "3.0"}
{"id": "v3_val_00003277", "prompt": "Calculate: 461 + (-16 - 510) + 0 / (-7)", "solution_steps": ["Subtract: -16 - 510 = -526", "Add: 461 + (-526) = -65", "Divide: 0 / (-7) = 0", "Add: -65 + 0 = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "461 + (-16 - 510) + 0 / (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 461, \"b\": -16, \"c\": 510, \"d\": 0, \"e\": -7}", "seed": "8274243615275604552", "semantic_fingerprint": "sha256:765c9a9210672d3ef1841ea1d8991b8d4ce516542b65c598f259e6abdd2f1c0e", "generator_version": "3.0"}
{"id": "v3_val_00003278", "prompt": "Compute: -157 + 8 + 0 * 55 * (-759 - 8)", "solution_steps": ["Add: -157 + 8 = -149", "Multiply: 0 * 55 = 0", "Subtract: -759 - 8 = -767", "Multiply: 0 * (-767) = 0", "Add: -149 + 0 = -149"], "final_answer": "-149", "answer_type": "integer", "kind": "expression", "math_text": "-157 + 8 + 0 * 55 * (-759 - 8)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* (* n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -157, \"b\": 8, \"c\": 0, \"d\": 55, \"e\": -759, \"f\": 8}", "seed": "6115333354773362441", "semantic_fingerprint": "sha256:10d3afe749a78270fc644d951017365981d02afb39dcf6c89ac78c26f1c96b28", "generator_version": "3.0"}
{"id": "v3_val_00003279", "prompt": "Calculate: 4 * 610", "solution_steps": ["Multiply: 4 * 610 = 2440"], "final_answer": "2440", "answer_type": "integer", "kind": "expression", "math_text": "4 * 610", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 610}", "seed": "2701610643413569713", "semantic_fingerprint": "sha256:6d91e245c773f4692626cfa10bfcd2e93ffba3abb01d0ad2dde2a57b3538911e", "generator_version": "3.0"}
{"id": "v3_val_00003280", "prompt": "Compute: 50 + (-33) / (7 - (-1)) - 2 * (-2)", "solution_steps": ["Subtract: 7 - (-1) = 8", "Divide: -33 / 8 = -33/8", "Add: 50 + (-33/8) = 367/8", "Multiply: 2 * (-2) = -4", "Subtract: 367/8 - (-4) = 399/8"], "final_answer": "399/8", "answer_type": "rational", "kind": "expression", "math_text": "50 + (-33) / (7 - (-1)) - 2 * (-2)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -33, \"c\": 7, \"d\": -1, \"e\": 2, \"f\": -2}", "seed": "2069621144755172151", "semantic_fingerprint": "sha256:95ae94d887d961a36f59770aeab10c3f9d6d9b9ab6f6d59ce719ad5442873273", "generator_version": "3.0"}
{"id": "v3_val_00003281", "prompt": "What value of x satisfies 5(x + 36) + 9 = 3?", "solution_steps": ["Expand: 5x + 180 + 9 = 3", "Combine constants: 5x + 189 = 3", "Subtract 189 from both sides: 5x = -186", "Divide both sides by 5: x = -186/5"], "final_answer": "-186/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 36) + 9 = 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 36, \"c\": 9, \"d\": 3}", "seed": "8618055419138211371", "semantic_fingerprint": "sha256:39ac613c4636e40d21b07679b541b20715e002f544f66a41f55ca03e9c3df5e8", "generator_version": "3.0"}
{"id": "v3_val_00003282", "prompt": "Solve the equation -8(x - 74) = -5x + 592 for x.", "solution_steps": ["Expand: -8x + 592 = -5x + 592", "Add 5x to both sides: -3x + 592 = 592", "Subtract 592 from both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 74) = -5x + 592", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 74, \"c\": -5, \"e\": 592, \"x\": 0}", "seed": "2387675419602663898", "semantic_fingerprint": "sha256:b52d21f6f885da85fe0e8c4a3af2760330a3ecb52ffdb692ab393e3e496fb956", "generator_version": "3.0"}
{"id": "v3_val_00003283", "prompt": "Evaluate: 9 / 479", "solution_steps": ["Divide: 9 / 479 = 9/479"], "final_answer": "9/479", "answer_type": "rational", "kind": "expression", "math_text": "9 / 479", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 479}", "seed": "9289694373544098994", "semantic_fingerprint": "sha256:2ca41064e0d22887f0731b7ca1b284a42d6e34be57545b6ded7f86dfca398501", "generator_version": "3.0"}
{"id": "v3_val_00003284", "prompt": "What is 299 - (-36) * 1?", "solution_steps": ["Multiply: -36 * 1 = -36", "Subtract: 299 - (-36) = 335"], "final_answer": "335", "answer_type": "integer", "kind": "expression", "math_text": "299 - (-36) * 1", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 299, \"b\": -36, \"c\": 1}", "seed": "15837604216543115915", "semantic_fingerprint": "sha256:5e45ceca9f3c7f18b4731c97d832fb0d7dc6032139bdbb5277c02fc8a6413098", "generator_version": "3.0"}
{"id": "v3_val_00003285", "prompt": "What value of x satisfies 4x + 547 = 8(x - 5) + 659?", "solution_steps": ["Expand: 4x + 547 = 8x - 40 + 659", "Combine constants: 4x + 547 = 8x + 619", "Subtract 8x from both sides: -4x + 547 = 619", "Subtract 547 from both sides: -4x = 72", "Divide both sides by -4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 547 = 8(x - 5) + 659", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 547, \"c\": 8, \"d\": 5, \"f\": 659, \"x\": -18}", "seed": "15874833088692760903", "semantic_fingerprint": "sha256:cab7080e7e19b302ba42eeb3005aa610796b7cc321349cea20ec6852045707ad", "generator_version": "3.0"}
{"id": "v3_val_00003286", "prompt": "What is -53 * (-248 / (-971))?", "solution_steps": ["Divide: -248 / (-971) = 248/971", "Multiply: -53 * (248/971) = -13144/971"], "final_answer": "-13144/971", "answer_type": "rational", "kind": "expression", "math_text": "-53 * (-248 / (-971))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -248, \"c\": -971}", "seed": "14024864208330140493", "semantic_fingerprint": "sha256:42f001e92459b1b74352660a81fe16e2358ecf000968a20bef45be99364923e4", "generator_version": "3.0"}
{"id": "v3_val_00003287", "prompt": "Evaluate: -80 - 54", "solution_steps": ["Subtract: -80 - 54 = -134"], "final_answer": "-134", "answer_type": "integer", "kind": "expression", "math_text": "-80 - 54", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 54}", "seed": "17377961326463408372", "semantic_fingerprint": "sha256:089b7f9f2a7aac4ee53e2dfc0de4b2e55d6d32cc3cd20a7aff92c5c47662d920", "generator_version": "3.0"}
{"id": "v3_val_00003288", "prompt": "Find x: x - 28 = -3x", "solution_steps": ["Add 3x to 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": "x - 28 = -3x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"c\": -28, \"x\": 7}", "seed": "1225570402536045199", "semantic_fingerprint": "sha256:2d29fb0c0e44bc4f322330ee521299f924b9335240336676078148b9e12d6aad", "generator_version": "3.0"}
{"id": "v3_val_00003289", "prompt": "What is (844 + (-251)) * (-6 + 0)?", "solution_steps": ["Add: 844 + (-251) = 593", "Add: -6 + 0 = -6", "Multiply: 593 * (-6) = -3558"], "final_answer": "-3558", "answer_type": "integer", "kind": "expression", "math_text": "(844 + (-251)) * (-6 + 0)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 844, \"b\": -251, \"c\": -6, \"d\": 0}", "seed": "13199923680256377815", "semantic_fingerprint": "sha256:8ae43d050a8e1f2a117fcf91582da6d98d61835bdd39f0d3da3259c63f4403b8", "generator_version": "3.0"}
{"id": "v3_val_00003290", "prompt": "Compute: (0 / 25 * 202 - (-96)) * (86 / (-69))", "solution_steps": ["Divide: 0 / 25 = 0", "Multiply: 0 * 202 = 0", "Subtract: 0 - (-96) = 96", "Divide: 86 / (-69) = -86/69", "Multiply: 96 * (-86/69) = -2752/23"], "final_answer": "-2752/23", "answer_type": "rational", "kind": "expression", "math_text": "(0 / 25 * 202 - (-96)) * (86 / (-69))", "variable": null, "family": "expression_5op", "shape": "(* (- (* (/ n n) n) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 25, \"c\": 202, \"d\": -96, \"e\": 86, \"f\": -69}", "seed": "15096821564824265514", "semantic_fingerprint": "sha256:4b6853335bca0ebf3b747287ee7e8bd038937226cfd09b33df499f6d739de4dc", "generator_version": "3.0"}
{"id": "v3_val_00003291", "prompt": "What is 0 / 2 * (65 * (-30))?", "solution_steps": ["Divide: 0 / 2 = 0", "Multiply: 65 * (-30) = -1950", "Multiply: 0 * (-1950) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 2 * (65 * (-30))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 2, \"c\": 65, \"d\": -30}", "seed": "14149474863827566060", "semantic_fingerprint": "sha256:3149c3d605a6814c9a65102507e9e2671fbc751f324e59aec7b8c4d48f5a2f32", "generator_version": "3.0"}
{"id": "v3_val_00003292", "prompt": "What is -61 + 77 - 48 * 954?", "solution_steps": ["Add: -61 + 77 = 16", "Multiply: 48 * 954 = 45792", "Subtract: 16 - 45792 = -45776"], "final_answer": "-45776", "answer_type": "integer", "kind": "expression", "math_text": "-61 + 77 - 48 * 954", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 77, \"c\": 48, \"d\": 954}", "seed": "17182239582408065966", "semantic_fingerprint": "sha256:c40ea5b6f7277d657fd5fbe08be8eaf636bdc96c8683a62b2f8a413e60dfb09d", "generator_version": "3.0"}
{"id": "v3_val_00003293", "prompt": "Solve for x: -11(x + 4) + 236 = x", "solution_steps": ["Expand: -11x - 44 + 236 = x", "Combine constants: -11x + 192 = x", "Subtract x from both sides: -12x + 192 = 0", "Subtract 192 from both sides: -12x = -192", "Divide both sides by -12: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 4) + 236 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"d\": 236, \"x\": 16}", "seed": "17873520414617544596", "semantic_fingerprint": "sha256:0272aa6422be6d950105ce7ce678974f6c52554d96620e452bcb80cdcc8abc76", "generator_version": "3.0"}
{"id": "v3_val_00003294", "prompt": "Calculate: -58 - 2 / (-7)", "solution_steps": ["Divide: 2 / (-7) = -2/7", "Subtract: -58 - (-2/7) = -404/7"], "final_answer": "-404/7", "answer_type": "rational", "kind": "expression", "math_text": "-58 - 2 / (-7)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 2, \"c\": -7}", "seed": "12541762800865834829", "semantic_fingerprint": "sha256:fa1a49d955f6a3a8202e63a52bcebbeea4fe261c85ada3894544f246b6a90b15", "generator_version": "3.0"}
{"id": "v3_val_00003295", "prompt": "Compute: (-93 - 392) * 198", "solution_steps": ["Subtract: -93 - 392 = -485", "Multiply: -485 * 198 = -96030"], "final_answer": "-96030", "answer_type": "integer", "kind": "expression", "math_text": "(-93 - 392) * 198", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 392, \"c\": 198}", "seed": "2643463768757006508", "semantic_fingerprint": "sha256:f809d97c2642c79cb1925ebba26c784fe8643e59ce0584575717f2cbdef868f2", "generator_version": "3.0"}
{"id": "v3_val_00003296", "prompt": "Compute: 94 - 4 * (-446)", "solution_steps": ["Multiply: 4 * (-446) = -1784", "Subtract: 94 - (-1784) = 1878"], "final_answer": "1878", "answer_type": "integer", "kind": "expression", "math_text": "94 - 4 * (-446)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 4, \"c\": -446}", "seed": "10028088617971406677", "semantic_fingerprint": "sha256:f3e89f6e7a23f71fd21554339801d64cf0b1eab3bdb5bb3c5bd1cdb0736609fa", "generator_version": "3.0"}
{"id": "v3_val_00003297", "prompt": "Calculate: -96 * (1 - 51) / ((-54 + (-58)) * 924)", "solution_steps": ["Subtract: 1 - 51 = -50", "Multiply: -96 * (-50) = 4800", "Add: -54 + (-58) = -112", "Multiply: -112 * 924 = -103488", "Divide: 4800 / (-103488) = -25/539"], "final_answer": "-25/539", "answer_type": "rational", "kind": "expression", "math_text": "-96 * (1 - 51) / ((-54 + (-58)) * 924)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (- n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 1, \"c\": 51, \"d\": -54, \"e\": -58, \"f\": 924}", "seed": "10800220881871639110", "semantic_fingerprint": "sha256:563bafeeac6705371f8005cf175b0a23a7e94fb4301b75f41750a3214a0f192e", "generator_version": "3.0"}
{"id": "v3_val_00003298", "prompt": "Solve the equation 5x + 765 = -5(x - 73) + 7 for x.", "solution_steps": ["Expand: 5x + 765 = -5x + 365 + 7", "Combine constants: 5x + 765 = -5x + 372", "Add 5x to both sides: 10x + 765 = 372", "Subtract 765 from both sides: 10x = -393", "Divide both sides by 10: x = -393/10"], "final_answer": "-393/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x + 765 = -5(x - 73) + 7", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 765, \"c\": -5, \"d\": 73, \"e\": 7}", "seed": "12681971440133357882", "semantic_fingerprint": "sha256:da61479c46fb058cd610bd0efa799a9c7dc8e52c843b08942909b9a74ce298c6", "generator_version": "3.0"}
{"id": "v3_val_00003299", "prompt": "Compute: -5 / 637 + 7", "solution_steps": ["Divide: -5 / 637 = -5/637", "Add: -5/637 + 7 = 4454/637"], "final_answer": "4454/637", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 637 + 7", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 637, \"c\": 7}", "seed": "7644564363146361935", "semantic_fingerprint": "sha256:1015ff3a4f9d0ea84ccad63fa8f030c370218113e8ee8f143ec829d3ec4aa42a", "generator_version": "3.0"}
{"id": "v3_val_00003300", "prompt": "Calculate: (52 + (-78)) / (-8 * (-405))", "solution_steps": ["Add: 52 + (-78) = -26", "Multiply: -8 * (-405) = 3240", "Divide: -26 / 3240 = -13/1620"], "final_answer": "-13/1620", "answer_type": "rational", "kind": "expression", "math_text": "(52 + (-78)) / (-8 * (-405))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": -78, \"c\": -8, \"d\": -405}", "seed": "5622301746177293589", "semantic_fingerprint": "sha256:648dbddb315ffb4245886e5c382307162f5eca6f160570576cf06141a22e0aac", "generator_version": "3.0"}
{"id": "v3_val_00003301", "prompt": "What is (-6 + (-2) / (-55 * 274)) * 1?", "solution_steps": ["Multiply: -55 * 274 = -15070", "Divide: -2 / (-15070) = 1/7535", "Add: -6 + 1/7535 = -45209/7535", "Multiply: (-45209/7535) * 1 = -45209/7535"], "final_answer": "-45209/7535", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (-2) / (-55 * 274)) * 1", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -2, \"c\": -55, \"d\": 274, \"e\": 1}", "seed": "15005920020193415470", "semantic_fingerprint": "sha256:97a9983c3ebe0db613cdd70fd4a5b9c567e22b8ef9c6a014f5fadf8ef6906c53", "generator_version": "3.0"}
{"id": "v3_val_00003302", "prompt": "What value of x satisfies -3(x - 5) - 612 = -11x - 517?", "solution_steps": ["Expand: -3x + 15 - 612 = -11x - 517", "Combine constants: -3x - 597 = -11x - 517", "Add 11x to both sides: 8x - 597 = -517", "Add 597 to both sides: 8x = 80", "Divide both sides by 8: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 5) - 612 = -11x - 517", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 5, \"c\": 612, \"d\": -11, \"f\": -517, \"x\": 10}", "seed": "16935668893094334627", "semantic_fingerprint": "sha256:904661cafbd3f4457276dbb6087d803f30bb31db7a3dfd2caa41be5ab1f98632", "generator_version": "3.0"}
{"id": "v3_val_00003303", "prompt": "Compute: 63 + (-53)", "solution_steps": ["Add: 63 + (-53) = 10"], "final_answer": "10", "answer_type": "integer", "kind": "expression", "math_text": "63 + (-53)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -53}", "seed": "6207957951931697734", "semantic_fingerprint": "sha256:cb6e2bb0121afafeda820900eb7fd91a316d46f6c57ac4d60f2b80da60b30f05", "generator_version": "3.0"}
{"id": "v3_val_00003304", "prompt": "Solve the equation 4x = 9(x - 52) for x.", "solution_steps": ["Expand: 4x = 9x - 468", "Subtract 9x from both sides: -5x = -468", "Divide both sides by -5: x = 468/5"], "final_answer": "468/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = 9(x - 52)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 52}", "seed": "13909719674628541543", "semantic_fingerprint": "sha256:2ed6819dd3c39890f5efa32ef152b241854e601aa68cbad83f7c01bfd1cb86db", "generator_version": "3.0"}
{"id": "v3_val_00003305", "prompt": "Compute: (-42 - (-4)) / (-44 - (-41))", "solution_steps": ["Subtract: -42 - (-4) = -38", "Subtract: -44 - (-41) = -3", "Divide: -38 / (-3) = 38/3"], "final_answer": "38/3", "answer_type": "rational", "kind": "expression", "math_text": "(-42 - (-4)) / (-44 - (-41))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -4, \"c\": -44, \"d\": -41}", "seed": "16175053215678769557", "semantic_fingerprint": "sha256:b413e104027f892447de71f4b9f07aa48a869edf288c71b777a7106fe3c64e5b", "generator_version": "3.0"}
{"id": "v3_val_00003306", "prompt": "What value of x satisfies x - 620 = 10(x - 44)?", "solution_steps": ["Expand: x - 620 = 10x - 440", "Subtract 10x from both sides: -9x - 620 = -440", "Add 620 to both sides: -9x = 180", "Divide both sides by -9: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 620 = 10(x - 44)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 44, \"d\": -620, \"x\": -20}", "seed": "4041330429488175173", "semantic_fingerprint": "sha256:cb3e8f7dc237f7037aebdae88093ff212fb308a4759fdfefacb0f81dd63f067d", "generator_version": "3.0"}
{"id": "v3_val_00003307", "prompt": "Evaluate: 7 + 49 * (-82)", "solution_steps": ["Multiply: 49 * (-82) = -4018", "Add: 7 + (-4018) = -4011"], "final_answer": "-4011", "answer_type": "integer", "kind": "expression", "math_text": "7 + 49 * (-82)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 49, \"c\": -82}", "seed": "5853445897051686567", "semantic_fingerprint": "sha256:297d5547a1d6c2809a89831d2034e8bf88719cd9a0e0457ddad92a2da03c54e1", "generator_version": "3.0"}
{"id": "v3_val_00003308", "prompt": "Calculate: 3 / (-7 * (-34) + 94)", "solution_steps": ["Multiply: -7 * (-34) = 238", "Add: 238 + 94 = 332", "Divide: 3 / 332 = 3/332"], "final_answer": "3/332", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-7 * (-34) + 94)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -7, \"c\": -34, \"d\": 94}", "seed": "9696835912843097165", "semantic_fingerprint": "sha256:1a0c6511a5182879847c8c2d920b9b8dc40fba1f27539bd0c5f6ca14cbbb466b", "generator_version": "3.0"}
{"id": "v3_val_00003309", "prompt": "Calculate: -5 / (-7 - 785)", "solution_steps": ["Subtract: -7 - 785 = -792", "Divide: -5 / (-792) = 5/792"], "final_answer": "5/792", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-7 - 785)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -7, \"c\": 785}", "seed": "3503155679870519058", "semantic_fingerprint": "sha256:d9a1d99c565e527b9e2ec5b8e87963eac63884a01cad34ebdaf974cb8cb24b66", "generator_version": "3.0"}
{"id": "v3_val_00003310", "prompt": "What is 7 / (-44 / (-93)) / (4 / (-7))?", "solution_steps": ["Divide: -44 / (-93) = 44/93", "Divide: 7 / (44/93) = 651/44", "Divide: 4 / (-7) = -4/7", "Divide: (651/44) / (-4/7) = -4557/176"], "final_answer": "-4557/176", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-44 / (-93)) / (4 / (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -44, \"c\": -93, \"d\": 4, \"e\": -7}", "seed": "1724346875145592728", "semantic_fingerprint": "sha256:bd056a3d07d32627f0e7e04cb3f249822f2ddd12b83b2cd37cfbeb77d23e1459", "generator_version": "3.0"}
{"id": "v3_val_00003311", "prompt": "Calculate: -4 * 352 * (-11) - (-9)", "solution_steps": ["Multiply: -4 * 352 = -1408", "Multiply: -1408 * (-11) = 15488", "Subtract: 15488 - (-9) = 15497"], "final_answer": "15497", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 352 * (-11) - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 352, \"c\": -11, \"d\": -9}", "seed": "9884939451684899095", "semantic_fingerprint": "sha256:bf740f21f34ab388ce24ecc53b88dd1d497f60dfd0454521bfc7959f7187965a", "generator_version": "3.0"}
{"id": "v3_val_00003312", "prompt": "Evaluate: (-5 + (-3)) * (-85 * (2 / (-41)))", "solution_steps": ["Add: -5 + (-3) = -8", "Divide: 2 / (-41) = -2/41", "Multiply: -85 * (-2/41) = 170/41", "Multiply: -8 * (170/41) = -1360/41"], "final_answer": "-1360/41", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + (-3)) * (-85 * (2 / (-41)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -3, \"c\": -85, \"d\": 2, \"e\": -41}", "seed": "11705676430910337058", "semantic_fingerprint": "sha256:0dcb2c74c5874a0e8dbaaaa96dff534c6aabd7cf4c3b852da0026031c67b6eb6", "generator_version": "3.0"}
{"id": "v3_val_00003313", "prompt": "Find x: 5x + 214 = -4x + 286", "solution_steps": ["Add 4x to both sides: 9x + 214 = 286", "Subtract 214 from both sides: 9x = 72", "Divide both sides by 9: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 214 = -4x + 286", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 214, \"c\": -4, \"e\": 286, \"x\": 8}", "seed": "1101790240177619536", "semantic_fingerprint": "sha256:89a6a772cfaefc2ab1069cefbd54100af3f36e063500610db7a39d8bf61b7748", "generator_version": "3.0"}
{"id": "v3_val_00003314", "prompt": "Find x: 3x - 59 = -12(x - 88) + 33", "solution_steps": ["Expand: 3x - 59 = -12x + 1056 + 33", "Combine constants: 3x - 59 = -12x + 1089", "Add 12x to both sides: 15x - 59 = 1089", "Add 59 to both sides: 15x = 1148", "Divide both sides by 15: x = 1148/15"], "final_answer": "1148/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 59 = -12(x - 88) + 33", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 59, \"c\": -12, \"d\": 88, \"e\": 33}", "seed": "10915386519525176502", "semantic_fingerprint": "sha256:61bf015f9d3d1262a1ba24bb7df7dbedbfdb76045c6fe895c41b56b1354467aa", "generator_version": "3.0"}
{"id": "v3_val_00003315", "prompt": "What is (-78 + (57 - (-1))) * 53?", "solution_steps": ["Subtract: 57 - (-1) = 58", "Add: -78 + 58 = -20", "Multiply: -20 * 53 = -1060"], "final_answer": "-1060", "answer_type": "integer", "kind": "expression", "math_text": "(-78 + (57 - (-1))) * 53", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 57, \"c\": -1, \"d\": 53}", "seed": "2257363949593211993", "semantic_fingerprint": "sha256:a4c90c0be3d073ebe996ae229947cabd97568373d1ae6dafaf8592849309f64d", "generator_version": "3.0"}
{"id": "v3_val_00003316", "prompt": "What value of x satisfies 2x = 6x - 72?", "solution_steps": ["Subtract 6x from both sides: -4x = -72", "Divide both sides by -4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 6x - 72", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"d\": -72, \"x\": 18}", "seed": "4395545262099452665", "semantic_fingerprint": "sha256:2b26d6841f72202eb3959d3223d7756f17d02100ee06616cb293a0b871683a76", "generator_version": "3.0"}
{"id": "v3_val_00003317", "prompt": "Calculate: (-334 + 15) * 505", "solution_steps": ["Add: -334 + 15 = -319", "Multiply: -319 * 505 = -161095"], "final_answer": "-161095", "answer_type": "integer", "kind": "expression", "math_text": "(-334 + 15) * 505", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -334, \"b\": 15, \"c\": 505}", "seed": "11387513143405576619", "semantic_fingerprint": "sha256:cac08c6fb8c6b03f266ad633dbc898ad8905ad2e3379c956efc363df256e4af9", "generator_version": "3.0"}
{"id": "v3_val_00003318", "prompt": "Compute: -38 + 988", "solution_steps": ["Add: -38 + 988 = 950"], "final_answer": "950", "answer_type": "integer", "kind": "expression", "math_text": "-38 + 988", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 988}", "seed": "6443274723366443946", "semantic_fingerprint": "sha256:97b23ae5bb42c09474422fc4aa5821357ddcc792d6260bbae63070d30408a718", "generator_version": "3.0"}
{"id": "v3_val_00003319", "prompt": "Evaluate: 1 * (0 / (1 + (3 - 659)))", "solution_steps": ["Subtract: 3 - 659 = -656", "Add: 1 + (-656) = -655", "Divide: 0 / (-655) = 0", "Multiply: 1 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "1 * (0 / (1 + (3 - 659)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (+ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": 1, \"d\": 3, \"e\": 659}", "seed": "10164675601588261547", "semantic_fingerprint": "sha256:02ad1c7b762b05be8bdf4633395304dc722ad473e0dc206bec4842158e7701f3", "generator_version": "3.0"}
{"id": "v3_val_00003320", "prompt": "What is 54 - (175 * (-8) + 65 / (-9))?", "solution_steps": ["Multiply: 175 * (-8) = -1400", "Divide: 65 / (-9) = -65/9", "Add: -1400 + (-65/9) = -12665/9", "Subtract: 54 - (-12665/9) = 13151/9"], "final_answer": "13151/9", "answer_type": "rational", "kind": "expression", "math_text": "54 - (175 * (-8) + 65 / (-9))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 175, \"c\": -8, \"d\": 65, \"e\": -9}", "seed": "13139122370436478965", "semantic_fingerprint": "sha256:513fbe2c0eea9a7602009e3b46a1426be4008aff2bea7ba34a001e4dea646a3b", "generator_version": "3.0"}
{"id": "v3_val_00003321", "prompt": "Compute: -819 - 494 - (66 - (-80) / (-4))", "solution_steps": ["Subtract: -819 - 494 = -1313", "Divide: -80 / (-4) = 20", "Subtract: 66 - 20 = 46", "Subtract: -1313 - 46 = -1359"], "final_answer": "-1359", "answer_type": "integer", "kind": "expression", "math_text": "-819 - 494 - (66 - (-80) / (-4))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -819, \"b\": 494, \"c\": 66, \"d\": -80, \"e\": -4}", "seed": "7294187430292950637", "semantic_fingerprint": "sha256:a8c7d687ead4e69b5af63ad650a5578d4c4c67420fa2e335eb40947cd01fb9c9", "generator_version": "3.0"}
{"id": "v3_val_00003322", "prompt": "Compute: -10 * 575 / (-63)", "solution_steps": ["Multiply: -10 * 575 = -5750", "Divide: -5750 / (-63) = 5750/63"], "final_answer": "5750/63", "answer_type": "rational", "kind": "expression", "math_text": "-10 * 575 / (-63)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 575, \"c\": -63}", "seed": "12460746044477759889", "semantic_fingerprint": "sha256:0b0c0ee458d8f0407e150643f37c22a2194271e4e3d9d2ab808b2a903a5bcb17", "generator_version": "3.0"}
{"id": "v3_val_00003323", "prompt": "Evaluate: (-5 - 40) * (-48)", "solution_steps": ["Subtract: -5 - 40 = -45", "Multiply: -45 * (-48) = 2160"], "final_answer": "2160", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - 40) * (-48)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 40, \"c\": -48}", "seed": "8092536765183464107", "semantic_fingerprint": "sha256:e677e990ffa7356474414db321e95b077ac576d8585bfa8d356181109f3b912b", "generator_version": "3.0"}
{"id": "v3_val_00003324", "prompt": "Compute: -9 - (-6) * 87", "solution_steps": ["Multiply: -6 * 87 = -522", "Subtract: -9 - (-522) = 513"], "final_answer": "513", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-6) * 87", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -6, \"c\": 87}", "seed": "16933292294998533677", "semantic_fingerprint": "sha256:9707d871fcea6affa14ff28050c70cd64a0125ccffa6ec3107c272b0965436ab", "generator_version": "3.0"}
{"id": "v3_val_00003325", "prompt": "Solve the equation -12x + 13 = x + 247 for x.", "solution_steps": ["Subtract x from both sides: -13x + 13 = 247", "Subtract 13 from both sides: -13x = 234", "Divide both sides by -13: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 13 = x + 247", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 13, \"d\": 247, \"x\": -18}", "seed": "1911613668205901587", "semantic_fingerprint": "sha256:78d17a43757689c45c16b194f1af2854bda3ca81426edb4150a53a54df40f26a", "generator_version": "3.0"}
{"id": "v3_val_00003326", "prompt": "Compute: (38 - (-53) + 129) * (-32 * (-2 / 830))", "solution_steps": ["Subtract: 38 - (-53) = 91", "Add: 91 + 129 = 220", "Divide: -2 / 830 = -1/415", "Multiply: -32 * (-1/415) = 32/415", "Multiply: 220 * (32/415) = 1408/83"], "final_answer": "1408/83", "answer_type": "rational", "kind": "expression", "math_text": "(38 - (-53) + 129) * (-32 * (-2 / 830))", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) n) (* n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -53, \"c\": 129, \"d\": -32, \"e\": -2, \"f\": 830}", "seed": "2753489537189226934", "semantic_fingerprint": "sha256:705fb4c4140fbaf54a75b1704d69326e2af9f52a7a0073cc490c09ef00b30a77", "generator_version": "3.0"}
{"id": "v3_val_00003327", "prompt": "Calculate: 4 / (-4) / (6 * (-2))", "solution_steps": ["Divide: 4 / (-4) = -1", "Multiply: 6 * (-2) = -12", "Divide: -1 / (-12) = 1/12"], "final_answer": "1/12", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-4) / (6 * (-2))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -4, \"c\": 6, \"d\": -2}", "seed": "10390662566656039747", "semantic_fingerprint": "sha256:c66b8795e0d2333b1bfa3762c6cea4e45363d5aa30d865110f4165e87fcd44ac", "generator_version": "3.0"}
{"id": "v3_val_00003328", "prompt": "Compute: 413 + (-17 - (-990))", "solution_steps": ["Subtract: -17 - (-990) = 973", "Add: 413 + 973 = 1386"], "final_answer": "1386", "answer_type": "integer", "kind": "expression", "math_text": "413 + (-17 - (-990))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 413, \"b\": -17, \"c\": -990}", "seed": "11393627843785392245", "semantic_fingerprint": "sha256:ad96305119ff6f5fedeb7f475627e42a5d367bbc8428a341c407d6bcadcf6a85", "generator_version": "3.0"}
{"id": "v3_val_00003329", "prompt": "Compute: 7 + (-8) - 72", "solution_steps": ["Add: 7 + (-8) = -1", "Subtract: -1 - 72 = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-8) - 72", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": 72}", "seed": "1768304621006754156", "semantic_fingerprint": "sha256:57b8c0370f4bcc844ec663d863a5c808c73841777a7cdcbf2ef587288d1c78eb", "generator_version": "3.0"}
{"id": "v3_val_00003330", "prompt": "Compute: 840 * 3 + 5", "solution_steps": ["Multiply: 840 * 3 = 2520", "Add: 2520 + 5 = 2525"], "final_answer": "2525", "answer_type": "integer", "kind": "expression", "math_text": "840 * 3 + 5", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 840, \"b\": 3, \"c\": 5}", "seed": "11764318281002154660", "semantic_fingerprint": "sha256:84224c7693bc2de75b73658127effa50e704b8eafbc89d5a8d549342db4cfb75", "generator_version": "3.0"}
{"id": "v3_val_00003331", "prompt": "Compute: (71 - (-91)) / 62 + (929 - (-32)) - 29", "solution_steps": ["Subtract: 71 - (-91) = 162", "Divide: 162 / 62 = 81/31", "Subtract: 929 - (-32) = 961", "Add: 81/31 + 961 = 29872/31", "Subtract: 29872/31 - 29 = 28973/31"], "final_answer": "28973/31", "answer_type": "rational", "kind": "expression", "math_text": "(71 - (-91)) / 62 + (929 - (-32)) - 29", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ (- n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -91, \"c\": 62, \"d\": 929, \"e\": -32, \"f\": 29}", "seed": "5528342417184584527", "semantic_fingerprint": "sha256:2ea3a7cefc6a2707794188a751e0a7ae679f5e54fecf4da5232156dcd96775e5", "generator_version": "3.0"}
{"id": "v3_val_00003332", "prompt": "What is 5 * ((96 - (-25) + 98 / (-2)) * (-8))?", "solution_steps": ["Subtract: 96 - (-25) = 121", "Divide: 98 / (-2) = -49", "Add: 121 + (-49) = 72", "Multiply: 72 * (-8) = -576", "Multiply: 5 * (-576) = -2880"], "final_answer": "-2880", "answer_type": "integer", "kind": "expression", "math_text": "5 * ((96 - (-25) + 98 / (-2)) * (-8))", "variable": null, "family": "expression_5op", "shape": "(* n (* (+ (- n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 96, \"c\": -25, \"d\": 98, \"e\": -2, \"f\": -8}", "seed": "9103666666931346982", "semantic_fingerprint": "sha256:f60cdd4f73db729b6a7f91c5f330982c8e1d204ae3f481f3f133391c0c45165b", "generator_version": "3.0"}
{"id": "v3_val_00003333", "prompt": "What value of x satisfies 3(x + 390) + 717 = 2(x + 950)?", "solution_steps": ["Expand: 3x + 1170 + 717 = 2(x + 950)", "Expand: 3x + 1170 + 717 = 2x + 1900", "Combine constants: 3x + 1887 = 2x + 1900", "Subtract 2x from both sides: x + 1887 = 1900", "Subtract 1887 from both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 390) + 717 = 2(x + 950)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 390, \"c\": 2, \"d\": 950, \"f\": 717, \"x\": 13}", "seed": "16168531736201647569", "semantic_fingerprint": "sha256:a1d03c739a4807622b651a3652fead96147a8c3f2230c21d61bf0d0d29069169", "generator_version": "3.0"}
{"id": "v3_val_00003334", "prompt": "Solve for x: 9(x + 30) + 72 = -12(x - 4) - 4", "solution_steps": ["Expand: 9x + 270 + 72 = -12(x - 4) - 4", "Expand: 9x + 270 + 72 = -12x + 48 - 4", "Combine constants: 9x + 342 = -12x + 48 - 4", "Combine constants: 9x + 342 = -12x + 44", "Add 12x to both sides: 21x + 342 = 44", "Subtract 342 from both sides: 21x = -298", "Divide both sides by 21: x = -298/21"], "final_answer": "-298/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 30) + 72 = -12(x - 4) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 30, \"c\": 72, \"d\": -12, \"e\": 4, \"f\": 4}", "seed": "10857728438772506086", "semantic_fingerprint": "sha256:41651c69a2eb5d6c557451ff0763b44ed7857c85dcce3e233378c7d99c3caa04", "generator_version": "3.0"}
{"id": "v3_val_00003335", "prompt": "Find x: 6(x - 963) = 4(x + 2)", "solution_steps": ["Expand: 6x - 5778 = 4(x + 2)", "Expand: 6x - 5778 = 4x + 8", "Subtract 4x from both sides: 2x - 5778 = 8", "Add 5778 to both sides: 2x = 5786", "Divide both sides by 2: x = 2893"], "final_answer": "2893", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 963) = 4(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 963, \"c\": 4, \"d\": 2}", "seed": "3604723887963839649", "semantic_fingerprint": "sha256:5e2baf09eedc910c7677cb6150f58c18d57366bccde97cae8489fbc67368f4ae", "generator_version": "3.0"}
{"id": "v3_val_00003336", "prompt": "What value of x satisfies -11(x + 2) - 21 = 4(x - 7) + 150?", "solution_steps": ["Expand: -11x - 22 - 21 = 4(x - 7) + 150", "Expand: -11x - 22 - 21 = 4x - 28 + 150", "Combine constants: -11x - 43 = 4x - 28 + 150", "Combine constants: -11x - 43 = 4x + 122", "Subtract 4x from both sides: -15x - 43 = 122", "Add 43 to both sides: -15x = 165", "Divide both sides by -15: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 2) - 21 = 4(x - 7) + 150", "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\": 21, \"d\": 4, \"e\": 7, \"g\": 150, \"x\": -11}", "seed": "4579750468038967384", "semantic_fingerprint": "sha256:d9b4d32c3b33b6cd8c2c1c68d3b0eb6741f9b4048245711487a3bd34ba066fc4", "generator_version": "3.0"}
{"id": "v3_val_00003337", "prompt": "Evaluate: -95 + (110 - (-7))", "solution_steps": ["Subtract: 110 - (-7) = 117", "Add: -95 + 117 = 22"], "final_answer": "22", "answer_type": "integer", "kind": "expression", "math_text": "-95 + (110 - (-7))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 110, \"c\": -7}", "seed": "7513810857764998233", "semantic_fingerprint": "sha256:76292e552f651ac8dc132a6592db0899eac117bd88d164cb0f65a46bc995ea69", "generator_version": "3.0"}
{"id": "v3_val_00003338", "prompt": "Solve the equation 7(x - 69) = 6(x - 330) - 9 for x.", "solution_steps": ["Expand: 7x - 483 = 6(x - 330) - 9", "Expand: 7x - 483 = 6x - 1980 - 9", "Combine constants: 7x - 483 = 6x - 1989", "Subtract 6x from both sides: x - 483 = -1989", "Add 483 to both sides: x = -1506"], "final_answer": "-1506", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 69) = 6(x - 330) - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 69, \"c\": 6, \"d\": 330, \"e\": 9}", "seed": "740064425974996642", "semantic_fingerprint": "sha256:3995edf6e49942776468fe4ab1647fcb91f8a8cba48233d5fc8989a22d96dfd2", "generator_version": "3.0"}
{"id": "v3_val_00003339", "prompt": "Find x: 10(x + 6) + 14 = -2(x + 5)", "solution_steps": ["Expand: 10x + 60 + 14 = -2(x + 5)", "Expand: 10x + 60 + 14 = -2x - 10", "Combine constants: 10x + 74 = -2x - 10", "Add 2x to both sides: 12x + 74 = -10", "Subtract 74 from both sides: 12x = -84", "Divide both sides by 12: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 6) + 14 = -2(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": -2, \"d\": 5, \"f\": 14, \"x\": -7}", "seed": "727310927779911203", "semantic_fingerprint": "sha256:ce50c9061dea772b9a60d641206dcb204fb7233741acadd33f26315956e7d70b", "generator_version": "3.0"}
{"id": "v3_val_00003340", "prompt": "Compute: -71 / 29 / 50", "solution_steps": ["Divide: -71 / 29 = -71/29", "Divide: (-71/29) / 50 = -71/1450"], "final_answer": "-71/1450", "answer_type": "rational", "kind": "expression", "math_text": "-71 / 29 / 50", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 29, \"c\": 50}", "seed": "7096182753638420964", "semantic_fingerprint": "sha256:1fe8a17d30fb8b21d36354d8003abb3ecf9fa8e9718523f023e3f0385239127d", "generator_version": "3.0"}
{"id": "v3_val_00003341", "prompt": "Find x: -9(x - 49) = 3x + 345", "solution_steps": ["Expand: -9x + 441 = 3x + 345", "Subtract 3x from both sides: -12x + 441 = 345", "Subtract 441 from both sides: -12x = -96", "Divide both sides by -12: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 49) = 3x + 345", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 49, \"c\": 3, \"e\": 345, \"x\": 8}", "seed": "13345968555827547710", "semantic_fingerprint": "sha256:0456e6646ec85464ff92aaadb14373ebfc20ac50924df8970520acb360e63ee4", "generator_version": "3.0"}
{"id": "v3_val_00003342", "prompt": "Solve for x: 11(x + 67) = -10x + 23", "solution_steps": ["Expand: 11x + 737 = -10x + 23", "Add 10x to both sides: 21x + 737 = 23", "Subtract 737 from both sides: 21x = -714", "Divide both sides by 21: x = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 67) = -10x + 23", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 67, \"c\": -10, \"d\": 23}", "seed": "12976671697591493151", "semantic_fingerprint": "sha256:7581d5209a7542cfe3d1e19984298ceeea86a7d2892d1c0ddc6041016023dc54", "generator_version": "3.0"}
{"id": "v3_val_00003343", "prompt": "Find x: 5x + 406 = -8x + 276", "solution_steps": ["Add 8x to both sides: 13x + 406 = 276", "Subtract 406 from both sides: 13x = -130", "Divide both sides by 13: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 406 = -8x + 276", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 406, \"c\": -8, \"e\": 276, \"x\": -10}", "seed": "1815367298654521846", "semantic_fingerprint": "sha256:4948d95adec7dc33fd3efd65d44f7e9095f97af719b2ee8292c0e93dc5f4723a", "generator_version": "3.0"}
{"id": "v3_val_00003344", "prompt": "Find x: 12(x + 5) = -12x - 2", "solution_steps": ["Expand: 12x + 60 = -12x - 2", "Add 12x to both sides: 24x + 60 = -2", "Subtract 60 from both sides: 24x = -62", "Divide both sides by 24: x = -31/12"], "final_answer": "-31/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 5) = -12x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": -12, \"d\": 2}", "seed": "4417697004224854716", "semantic_fingerprint": "sha256:57db6d8d9ca9657ac5685b7c1eb816d8e7c7540d3ffc12a654781a044aaffefe", "generator_version": "3.0"}
{"id": "v3_val_00003345", "prompt": "Find x: -2(x - 15) - 89 = 7(x - 6) + 28", "solution_steps": ["Expand: -2x + 30 - 89 = 7(x - 6) + 28", "Expand: -2x + 30 - 89 = 7x - 42 + 28", "Combine constants: -2x - 59 = 7x - 42 + 28", "Combine constants: -2x - 59 = 7x - 14", "Subtract 7x from both sides: -9x - 59 = -14", "Add 59 to both sides: -9x = 45", "Divide both sides by -9: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 15) - 89 = 7(x - 6) + 28", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 15, \"c\": 89, \"d\": 7, \"e\": 6, \"g\": 28, \"x\": -5}", "seed": "14061762103405164913", "semantic_fingerprint": "sha256:9179fba41437639902e376ca6b1a79f9a16a344ab6f88f9135b29aeb1eba3223", "generator_version": "3.0"}
{"id": "v3_val_00003346", "prompt": "Calculate: (8 * (-50) - 434) / 537", "solution_steps": ["Multiply: 8 * (-50) = -400", "Subtract: -400 - 434 = -834", "Divide: -834 / 537 = -278/179"], "final_answer": "-278/179", "answer_type": "rational", "kind": "expression", "math_text": "(8 * (-50) - 434) / 537", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -50, \"c\": 434, \"d\": 537}", "seed": "1719562729686895039", "semantic_fingerprint": "sha256:fca09f48611312f0b56a09917ae80c6220a866099f071f7cb289edfb45125f9e", "generator_version": "3.0"}
{"id": "v3_val_00003347", "prompt": "Evaluate: (270 + 60 * (226 / 32)) * 68", "solution_steps": ["Divide: 226 / 32 = 113/16", "Multiply: 60 * (113/16) = 1695/4", "Add: 270 + 1695/4 = 2775/4", "Multiply: (2775/4) * 68 = 47175"], "final_answer": "47175", "answer_type": "integer", "kind": "expression", "math_text": "(270 + 60 * (226 / 32)) * 68", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 270, \"b\": 60, \"c\": 226, \"d\": 32, \"e\": 68}", "seed": "9052768315137783086", "semantic_fingerprint": "sha256:5d1d863d228c743e887ee16259c56336acdc89db03182c09f861bbdd4ae9d074", "generator_version": "3.0"}
{"id": "v3_val_00003348", "prompt": "Compute: 0 + (-6 + 41) * (-391)", "solution_steps": ["Add: -6 + 41 = 35", "Multiply: 35 * (-391) = -13685", "Add: 0 + (-13685) = -13685"], "final_answer": "-13685", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-6 + 41) * (-391)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -6, \"c\": 41, \"d\": -391}", "seed": "16433087210576692560", "semantic_fingerprint": "sha256:3649f853763d0a3ba239f390584475fe02d493f1179464b12b8a4e783ee43f66", "generator_version": "3.0"}
{"id": "v3_val_00003349", "prompt": "Evaluate: 1 * 31", "solution_steps": ["Multiply: 1 * 31 = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "1 * 31", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 31}", "seed": "14756320665238988575", "semantic_fingerprint": "sha256:e709cdd8518af41ce5556c38d6bf99adddeb9bbd808a38f2b87c5dbd3d10c648", "generator_version": "3.0"}
{"id": "v3_val_00003350", "prompt": "What value of x satisfies x = -7(x + 12)?", "solution_steps": ["Expand: x = -7x - 84", "Add 7x to both sides: 8x = -84", "Divide both sides by 8: x = -21/2"], "final_answer": "-21/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -7(x + 12)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 12}", "seed": "3401982989864932611", "semantic_fingerprint": "sha256:d0a6e0cfb1b7053a5b2b0f1823a64dbc9ffaab9431cc5e0390a690b1ad765042", "generator_version": "3.0"}
{"id": "v3_val_00003351", "prompt": "Calculate: 9 / (4 * (-17 + 513)) + (-5)", "solution_steps": ["Add: -17 + 513 = 496", "Multiply: 4 * 496 = 1984", "Divide: 9 / 1984 = 9/1984", "Add: 9/1984 + (-5) = -9911/1984"], "final_answer": "-9911/1984", "answer_type": "rational", "kind": "expression", "math_text": "9 / (4 * (-17 + 513)) + (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": -17, \"d\": 513, \"e\": -5}", "seed": "16518902755902031305", "semantic_fingerprint": "sha256:0d5cb6b85a48e65e1cd9e43838062abed17bde2cbfb79ad05877b94ed660a19a", "generator_version": "3.0"}
{"id": "v3_val_00003352", "prompt": "Evaluate: -653 + 3 * 1 - 59 / (-37)", "solution_steps": ["Multiply: 3 * 1 = 3", "Add: -653 + 3 = -650", "Divide: 59 / (-37) = -59/37", "Subtract: -650 - (-59/37) = -23991/37"], "final_answer": "-23991/37", "answer_type": "rational", "kind": "expression", "math_text": "-653 + 3 * 1 - 59 / (-37)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -653, \"b\": 3, \"c\": 1, \"d\": 59, \"e\": -37}", "seed": "6822089065809684510", "semantic_fingerprint": "sha256:7811ca82bd14aaadb7373bc053759102b59a336b4700780c986e90cc58b21dfd", "generator_version": "3.0"}
{"id": "v3_val_00003353", "prompt": "Solve for x: 8x = 10(x - 6) + 32", "solution_steps": ["Expand: 8x = 10x - 60 + 32", "Combine constants: 8x = 10x - 28", "Subtract 10x from both sides: -2x = -28", "Divide both sides by -2: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 10(x - 6) + 32", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 10, \"c\": 6, \"e\": 32, \"x\": 14}", "seed": "2934248799755774506", "semantic_fingerprint": "sha256:18a0b040415dc139a6c3f4446f3298245bcde058f83e5c9a32921434ca3274fb", "generator_version": "3.0"}
{"id": "v3_val_00003354", "prompt": "Find x: 8(x + 75) = 6x + 624", "solution_steps": ["Expand: 8x + 600 = 6x + 624", "Subtract 6x from both sides: 2x + 600 = 624", "Subtract 600 from both sides: 2x = 24", "Divide both sides by 2: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 75) = 6x + 624", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 75, \"c\": 6, \"e\": 624, \"x\": 12}", "seed": "14390127658672875235", "semantic_fingerprint": "sha256:6046936d6cf2973024d6509e748bd0019f4f7eb73ac8122580b16a83aad16985", "generator_version": "3.0"}
{"id": "v3_val_00003355", "prompt": "Solve for x: x = 5(x - 9) + 77", "solution_steps": ["Expand: x = 5x - 45 + 77", "Combine constants: x = 5x + 32", "Subtract 5x from both sides: -4x = 32", "Divide both sides by -4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 5(x - 9) + 77", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"d\": 77, \"x\": -8}", "seed": "16188364735491188366", "semantic_fingerprint": "sha256:f84e3a1eb32e56f96e4f8689f0c931d32a62b4665515c5b903143fd438b6255e", "generator_version": "3.0"}
{"id": "v3_val_00003356", "prompt": "Evaluate: -65 - 89 - (30 + (-4)) * 5", "solution_steps": ["Subtract: -65 - 89 = -154", "Add: 30 + (-4) = 26", "Multiply: 26 * 5 = 130", "Subtract: -154 - 130 = -284"], "final_answer": "-284", "answer_type": "integer", "kind": "expression", "math_text": "-65 - 89 - (30 + (-4)) * 5", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 89, \"c\": 30, \"d\": -4, \"e\": 5}", "seed": "7218632460876752587", "semantic_fingerprint": "sha256:743bbcf4d4b899485cbfec9eaf3cd7e0c0c96c9fe80977166b7c815002c11a8a", "generator_version": "3.0"}
{"id": "v3_val_00003357", "prompt": "Solve for x: -2x - 8 = 4(x + 64) - 264", "solution_steps": ["Expand: -2x - 8 = 4x + 256 - 264", "Combine constants: -2x - 8 = 4x - 8", "Subtract 4x from both sides: -6x - 8 = -8", "Add 8 to both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 8 = 4(x + 64) - 264", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 4, \"d\": 64, \"f\": -264, \"x\": 0}", "seed": "2946710469550317529", "semantic_fingerprint": "sha256:47f468278acdb02a5bc85a23bc17703f2f2de7835d49e0c62924f866401bad55", "generator_version": "3.0"}
{"id": "v3_val_00003358", "prompt": "What is -183 / (-52)?", "solution_steps": ["Divide: -183 / (-52) = 183/52"], "final_answer": "183/52", "answer_type": "rational", "kind": "expression", "math_text": "-183 / (-52)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -183, \"b\": -52}", "seed": "16940336802829787914", "semantic_fingerprint": "sha256:4fb94e6c546338bc4b68f2f5522b25996e57f6f607625a8c5d246d1206e3f3f7", "generator_version": "3.0"}
{"id": "v3_val_00003359", "prompt": "Evaluate: 77 + (-4 - 279)", "solution_steps": ["Subtract: -4 - 279 = -283", "Add: 77 + (-283) = -206"], "final_answer": "-206", "answer_type": "integer", "kind": "expression", "math_text": "77 + (-4 - 279)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -4, \"c\": 279}", "seed": "7889218804984370170", "semantic_fingerprint": "sha256:21565afff5c11d0e3527f0698e7d506ccb13c462e20528553894847d4fe8ad13", "generator_version": "3.0"}
{"id": "v3_val_00003360", "prompt": "Solve for x: 10(x + 8) = -2(x + 9) + 62", "solution_steps": ["Expand: 10x + 80 = -2(x + 9) + 62", "Expand: 10x + 80 = -2x - 18 + 62", "Combine constants: 10x + 80 = -2x + 44", "Add 2x to both sides: 12x + 80 = 44", "Subtract 80 from both sides: 12x = -36", "Divide both sides by 12: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 8) = -2(x + 9) + 62", "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\": -2, \"d\": 9, \"f\": 62, \"x\": -3}", "seed": "11214328935505668498", "semantic_fingerprint": "sha256:701f299d65c266b864d9325a4f9fc852e1a106934398016c87fff61394a11a79", "generator_version": "3.0"}
{"id": "v3_val_00003361", "prompt": "Calculate: -44 + 6 + (-7) * 79 + (-7 - (-35))", "solution_steps": ["Add: -44 + 6 = -38", "Multiply: -7 * 79 = -553", "Add: -38 + (-553) = -591", "Subtract: -7 - (-35) = 28", "Add: -591 + 28 = -563"], "final_answer": "-563", "answer_type": "integer", "kind": "expression", "math_text": "-44 + 6 + (-7) * 79 + (-7 - (-35))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) (* n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 6, \"c\": -7, \"d\": 79, \"e\": -7, \"f\": -35}", "seed": "17523574263994625323", "semantic_fingerprint": "sha256:a10c4f5f6ddff51967444b083320b3a70a42d0e0aa7cf24d028524c278561000", "generator_version": "3.0"}
{"id": "v3_val_00003362", "prompt": "Solve for x: -9(x - 1) = x", "solution_steps": ["Expand: -9x + 9 = x", "Subtract x from both sides: -10x + 9 = 0", "Subtract 9 from 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": "14979961655378936946", "semantic_fingerprint": "sha256:ec1dd281995514758d2d35f3cfdd4c4375ab1af9db5bb879b0f2637a29427875", "generator_version": "3.0"}
{"id": "v3_val_00003363", "prompt": "Solve for x: -12x + 7 = -7(x + 96) + 609", "solution_steps": ["Expand: -12x + 7 = -7x - 672 + 609", "Combine constants: -12x + 7 = -7x - 63", "Add 7x to both sides: -5x + 7 = -63", "Subtract 7 from both sides: -5x = -70", "Divide both sides by -5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 7 = -7(x + 96) + 609", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": -7, \"d\": 96, \"f\": 609, \"x\": 14}", "seed": "333113260163953843", "semantic_fingerprint": "sha256:c328dd4df6bb5f9c19357180d3fa117316b83f3068c7aad384a9f938a44cf62a", "generator_version": "3.0"}
{"id": "v3_val_00003364", "prompt": "Solve for x: 11(x - 3) - 247 = -3x", "solution_steps": ["Expand: 11x - 33 - 247 = -3x", "Combine constants: 11x - 280 = -3x", "Add 3x to both sides: 14x - 280 = 0", "Add 280 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 - 3) - 247 = -3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": -3, \"e\": -247, \"x\": 20}", "seed": "17786501118856475851", "semantic_fingerprint": "sha256:179fdebeaa7351f99ea343b9a1125f410d96fa581778ccdd47368160c7f9b6ac", "generator_version": "3.0"}
{"id": "v3_val_00003365", "prompt": "Evaluate: 0 - 69", "solution_steps": ["Subtract: 0 - 69 = -69"], "final_answer": "-69", "answer_type": "integer", "kind": "expression", "math_text": "0 - 69", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 69}", "seed": "9961612319933116545", "semantic_fingerprint": "sha256:591dbe945cf15edcbae7d20890bdfe0896be9cba39a37773bdd671877a1f5eac", "generator_version": "3.0"}
{"id": "v3_val_00003366", "prompt": "Solve for x: 2(x + 95) = x - 11", "solution_steps": ["Expand: 2x + 190 = x - 11", "Subtract x from both sides: x + 190 = -11", "Subtract 190 from both sides: x = -201"], "final_answer": "-201", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 95) = x - 11", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 95, \"c\": 11}", "seed": "1229881142939746196", "semantic_fingerprint": "sha256:6bdaa44a7c488230858bf3da4cbd7e1160f02fe3b001e3c3a6072de12fd82467", "generator_version": "3.0"}
{"id": "v3_val_00003367", "prompt": "Compute: -345 - 0 - 8", "solution_steps": ["Subtract: -345 - 0 = -345", "Subtract: -345 - 8 = -353"], "final_answer": "-353", "answer_type": "integer", "kind": "expression", "math_text": "-345 - 0 - 8", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -345, \"b\": 0, \"c\": 8}", "seed": "17485632392616528004", "semantic_fingerprint": "sha256:4189e531785a787e15f8c3352137b1495b9a70e21125046cc3931c1cedaf2419", "generator_version": "3.0"}
{"id": "v3_val_00003368", "prompt": "Calculate: -33 + (-4) / 292 * (-110 + 6)", "solution_steps": ["Divide: -4 / 292 = -1/73", "Add: -110 + 6 = -104", "Multiply: (-1/73) * (-104) = 104/73", "Add: -33 + 104/73 = -2305/73"], "final_answer": "-2305/73", "answer_type": "rational", "kind": "expression", "math_text": "-33 + (-4) / 292 * (-110 + 6)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -4, \"c\": 292, \"d\": -110, \"e\": 6}", "seed": "8481032382301531122", "semantic_fingerprint": "sha256:b83236a92225fee3b2535726495e013cab06a632485d927cc382a25dc975fc98", "generator_version": "3.0"}
{"id": "v3_val_00003369", "prompt": "Solve the equation 11(x - 6) - 44 = -11x for x.", "solution_steps": ["Expand: 11x - 66 - 44 = -11x", "Combine constants: 11x - 110 = -11x", "Add 11x to both sides: 22x - 110 = 0", "Add 110 to both sides: 22x = 110", "Divide both sides by 22: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 6) - 44 = -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\": -44, \"x\": 5}", "seed": "4964149090742205573", "semantic_fingerprint": "sha256:057f5ae1f65a2c9865ce7f2b60082ea75675063dd95cdb373ccc5cd7a45fe3ca", "generator_version": "3.0"}
{"id": "v3_val_00003370", "prompt": "What value of x satisfies -4(x - 3) + 2 = -34?", "solution_steps": ["Expand: -4x + 12 + 2 = -34", "Combine constants: -4x + 14 = -34", "Subtract 14 from both sides: -4x = -48", "Divide both sides by -4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 3) + 2 = -34", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 2, \"e\": -34, \"x\": 12}", "seed": "8762486341743372639", "semantic_fingerprint": "sha256:91e7bbeefdbdb57a459c271c4dce0aa63a756b2728062b59e33b7b763191cb26", "generator_version": "3.0"}
{"id": "v3_val_00003371", "prompt": "What value of x satisfies 5x = 9x?", "solution_steps": ["Subtract 9x from both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 9x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9}", "seed": "4962851721686888913", "semantic_fingerprint": "sha256:fa60121651810264e6658c1e59c88905944c325085508650eab40a3f688efb17", "generator_version": "3.0"}
{"id": "v3_val_00003372", "prompt": "Calculate: -95 - 26 - (-377) * (-4)", "solution_steps": ["Subtract: -95 - 26 = -121", "Multiply: -377 * (-4) = 1508", "Subtract: -121 - 1508 = -1629"], "final_answer": "-1629", "answer_type": "integer", "kind": "expression", "math_text": "-95 - 26 - (-377) * (-4)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 26, \"c\": -377, \"d\": -4}", "seed": "2333677943992805036", "semantic_fingerprint": "sha256:2987ca94a4134bc1977f51d9623339e0005d60b45c477fde2f645d6642dd5141", "generator_version": "3.0"}
{"id": "v3_val_00003373", "prompt": "Find x: x - 820 = -7x - 972", "solution_steps": ["Add 7x to both sides: 8x - 820 = -972", "Add 820 to both sides: 8x = -152", "Divide both sides by 8: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 820 = -7x - 972", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 820, \"b\": -7, \"d\": -972, \"x\": -19}", "seed": "8792316131608950980", "semantic_fingerprint": "sha256:dfc4a1b4e61ceb52c9d8e694088e1df8584983410be8411f365e0991048decc7", "generator_version": "3.0"}
{"id": "v3_val_00003374", "prompt": "Solve the equation 6x = -7(x - 6) - 263 for x.", "solution_steps": ["Expand: 6x = -7x + 42 - 263", "Combine constants: 6x = -7x - 221", "Add 7x to both sides: 13x = -221", "Divide both sides by 13: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = -7(x - 6) - 263", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": 6, \"e\": -263, \"x\": -17}", "seed": "16394923748527935553", "semantic_fingerprint": "sha256:352a4d78048480da6be00b8529c89fd81460c1cb113efad854b160a2b007bddb", "generator_version": "3.0"}
{"id": "v3_val_00003375", "prompt": "What is 178 * 24 + (-19 + 3) - 460 * (-755)?", "solution_steps": ["Multiply: 178 * 24 = 4272", "Add: -19 + 3 = -16", "Add: 4272 + (-16) = 4256", "Multiply: 460 * (-755) = -347300", "Subtract: 4256 - (-347300) = 351556"], "final_answer": "351556", "answer_type": "integer", "kind": "expression", "math_text": "178 * 24 + (-19 + 3) - 460 * (-755)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 178, \"b\": 24, \"c\": -19, \"d\": 3, \"e\": 460, \"f\": -755}", "seed": "9309162608749859911", "semantic_fingerprint": "sha256:18ab4b8b9a304f9414dde34e1fba1e0a13e54c9091cce87a87cb5028b776adf8", "generator_version": "3.0"}
{"id": "v3_val_00003376", "prompt": "Solve for x: x + 56 = 8(x + 2) - 51", "solution_steps": ["Expand: x + 56 = 8x + 16 - 51", "Combine constants: x + 56 = 8x - 35", "Subtract 8x from both sides: -7x + 56 = -35", "Subtract 56 from both sides: -7x = -91", "Divide both sides by -7: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 56 = 8(x + 2) - 51", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 8, \"c\": 2, \"e\": -51, \"x\": 13}", "seed": "4001504702994545014", "semantic_fingerprint": "sha256:50fec0a519508eab3c6f902c147b43ad1a296ec6be5b3672573fe2586df94dc6", "generator_version": "3.0"}
{"id": "v3_val_00003377", "prompt": "Calculate: 758 / (-930) * (-14)", "solution_steps": ["Divide: 758 / (-930) = -379/465", "Multiply: (-379/465) * (-14) = 5306/465"], "final_answer": "5306/465", "answer_type": "rational", "kind": "expression", "math_text": "758 / (-930) * (-14)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 758, \"b\": -930, \"c\": -14}", "seed": "8369733193564099746", "semantic_fingerprint": "sha256:1c9c2347a01d2cdd3b43a36c03380db2217975238264b88aa39e4d081721c0e1", "generator_version": "3.0"}
{"id": "v3_val_00003378", "prompt": "Compute: -12 + (384 + (-5)) * 0", "solution_steps": ["Add: 384 + (-5) = 379", "Multiply: 379 * 0 = 0", "Add: -12 + 0 = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "-12 + (384 + (-5)) * 0", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 384, \"c\": -5, \"d\": 0}", "seed": "17739355551951403852", "semantic_fingerprint": "sha256:3d3638f9a117218c05ec71201a2bfc5f51dc79bf328e07c17117b1adc919c84b", "generator_version": "3.0"}
{"id": "v3_val_00003379", "prompt": "Solve the equation 3(x - 70) - 108 = 12(x - 91) + 5 for x.", "solution_steps": ["Expand: 3x - 210 - 108 = 12(x - 91) + 5", "Expand: 3x - 210 - 108 = 12x - 1092 + 5", "Combine constants: 3x - 318 = 12x - 1092 + 5", "Combine constants: 3x - 318 = 12x - 1087", "Subtract 12x from both sides: -9x - 318 = -1087", "Add 318 to both sides: -9x = -769", "Divide both sides by -9: x = 769/9"], "final_answer": "769/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 70) - 108 = 12(x - 91) + 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 70, \"c\": 108, \"d\": 12, \"e\": 91, \"f\": 5}", "seed": "4494844750143699410", "semantic_fingerprint": "sha256:90a6bd4493088bcd86d0256ac6302462d6b423913b652cbe9beb70aa92ea7fb6", "generator_version": "3.0"}
{"id": "v3_val_00003380", "prompt": "Solve the equation 6(x + 9) - 50 = x for x.", "solution_steps": ["Expand: 6x + 54 - 50 = x", "Combine constants: 6x + 4 = x", "Subtract x from both sides: 5x + 4 = 0", "Subtract 4 from both sides: 5x = -4", "Divide both sides by 5: x = -4/5"], "final_answer": "-4/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 9) - 50 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 50}", "seed": "10928588733115325607", "semantic_fingerprint": "sha256:367ec3cc1d5f0a7613e39673d552e1eeba0bcc2af3f80b2fd4c553175d91dcc0", "generator_version": "3.0"}
{"id": "v3_val_00003381", "prompt": "Evaluate: -62 - 801 - (-41) * 963 + 2", "solution_steps": ["Subtract: -62 - 801 = -863", "Multiply: -41 * 963 = -39483", "Subtract: -863 - (-39483) = 38620", "Add: 38620 + 2 = 38622"], "final_answer": "38622", "answer_type": "integer", "kind": "expression", "math_text": "-62 - 801 - (-41) * 963 + 2", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 801, \"c\": -41, \"d\": 963, \"e\": 2}", "seed": "12055658334043497008", "semantic_fingerprint": "sha256:c391f686c82b3395e02893640e70757c528fcefba26428bfc385202f1622e8ef", "generator_version": "3.0"}
{"id": "v3_val_00003382", "prompt": "Solve for x: x - 6 = 8(x + 66) - 20", "solution_steps": ["Expand: x - 6 = 8x + 528 - 20", "Combine constants: x - 6 = 8x + 508", "Subtract 8x from both sides: -7x - 6 = 508", "Add 6 to both sides: -7x = 514", "Divide both sides by -7: x = -514/7"], "final_answer": "-514/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6 = 8(x + 66) - 20", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 66, \"d\": 20}", "seed": "14953638751580295412", "semantic_fingerprint": "sha256:fca07c4b2f1f9f564b6c1365c0065075ac6fc3615272ae7506b08003a1867ca9", "generator_version": "3.0"}
{"id": "v3_val_00003383", "prompt": "What value of x satisfies 4(x - 98) = 12x + 8?", "solution_steps": ["Expand: 4x - 392 = 12x + 8", "Subtract 12x from both sides: -8x - 392 = 8", "Add 392 to both sides: -8x = 400", "Divide both sides by -8: x = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 98) = 12x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 98, \"c\": 12, \"d\": 8}", "seed": "1211818794488440940", "semantic_fingerprint": "sha256:09f66d0890f53f76015a7d43d30a6289ce65e70c653ef84ee9ffb7f174f7be55", "generator_version": "3.0"}
{"id": "v3_val_00003384", "prompt": "What is -77 + 8?", "solution_steps": ["Add: -77 + 8 = -69"], "final_answer": "-69", "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": "5130433276562573796", "semantic_fingerprint": "sha256:5f210c4c1a9b16865ba4697b6536e552ed4e143a8978fdafaa152881bd27ae86", "generator_version": "3.0"}
{"id": "v3_val_00003385", "prompt": "What is (47 + 49 - (-88)) * (-679 / (-6))?", "solution_steps": ["Add: 47 + 49 = 96", "Subtract: 96 - (-88) = 184", "Divide: -679 / (-6) = 679/6", "Multiply: 184 * (679/6) = 62468/3"], "final_answer": "62468/3", "answer_type": "rational", "kind": "expression", "math_text": "(47 + 49 - (-88)) * (-679 / (-6))", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 49, \"c\": -88, \"d\": -679, \"e\": -6}", "seed": "8312615251377769314", "semantic_fingerprint": "sha256:08907bdfb7dcb34e5d62a0fed9f316a8684d23e7136444417d4ef040c3c16dbd", "generator_version": "3.0"}
{"id": "v3_val_00003386", "prompt": "What value of x satisfies -8(x + 99) - 846 = -340?", "solution_steps": ["Expand: -8x - 792 - 846 = -340", "Combine constants: -8x - 1638 = -340", "Add 1638 to both sides: -8x = 1298", "Divide both sides by -8: x = -649/4"], "final_answer": "-649/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 99) - 846 = -340", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 99, \"c\": 846, \"d\": -340}", "seed": "14296736431095817929", "semantic_fingerprint": "sha256:c96e1074ebfaaeaf9a36d2954e75da66d6c74d17b7b2039bb261ef16c780aa0e", "generator_version": "3.0"}
{"id": "v3_val_00003387", "prompt": "Calculate: -103 + 6 * 0 * (-2) * (98 + (-985))", "solution_steps": ["Multiply: 6 * 0 = 0", "Multiply: 0 * (-2) = 0", "Add: 98 + (-985) = -887", "Multiply: 0 * (-887) = 0", "Add: -103 + 0 = -103"], "final_answer": "-103", "answer_type": "integer", "kind": "expression", "math_text": "-103 + 6 * 0 * (-2) * (98 + (-985))", "variable": null, "family": "expression_5op", "shape": "(+ n (* (* (* n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -103, \"b\": 6, \"c\": 0, \"d\": -2, \"e\": 98, \"f\": -985}", "seed": "752758499414269503", "semantic_fingerprint": "sha256:2a73ace6450fa690b6ab728048e201c74f740bdb4c3b9cf69ea4f0d74ae21012", "generator_version": "3.0"}
{"id": "v3_val_00003388", "prompt": "What is (-7 - (-350)) / 35 + (-452)?", "solution_steps": ["Subtract: -7 - (-350) = 343", "Divide: 343 / 35 = 49/5", "Add: 49/5 + (-452) = -2211/5"], "final_answer": "-2211/5", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - (-350)) / 35 + (-452)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -350, \"c\": 35, \"d\": -452}", "seed": "1593676871384252396", "semantic_fingerprint": "sha256:4b1fd782bb9828b981b721b81294dd55d93cc0fead6ed6dfb14fa107a62a84ee", "generator_version": "3.0"}
{"id": "v3_val_00003389", "prompt": "What value of x satisfies 8x + 2 = x - 64?", "solution_steps": ["Subtract x from both sides: 7x + 2 = -64", "Subtract 2 from both sides: 7x = -66", "Divide both sides by 7: x = -66/7"], "final_answer": "-66/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x + 2 = x - 64", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 64}", "seed": "8246896645397178339", "semantic_fingerprint": "sha256:83a98b64ed5e0a02866e608cb82dc98f62d8e7c893808400d3f323cc48d74bc1", "generator_version": "3.0"}
{"id": "v3_val_00003390", "prompt": "Compute: -260 - (-474 - 1)", "solution_steps": ["Subtract: -474 - 1 = -475", "Subtract: -260 - (-475) = 215"], "final_answer": "215", "answer_type": "integer", "kind": "expression", "math_text": "-260 - (-474 - 1)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -260, \"b\": -474, \"c\": 1}", "seed": "837000409153975237", "semantic_fingerprint": "sha256:ef7d54bec456d6a8e4b7819e4500217e2e0a8a6cddc99e39ee46a4b8e8c09351", "generator_version": "3.0"}
{"id": "v3_val_00003391", "prompt": "Find x: x = -5(x - 2) - 40", "solution_steps": ["Expand: x = -5x + 10 - 40", "Combine constants: x = -5x - 30", "Add 5x to both sides: 6x = -30", "Divide both sides by 6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -5(x - 2) - 40", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"d\": -40, \"x\": -5}", "seed": "11943835884131686748", "semantic_fingerprint": "sha256:755b010aaac9f998a1f9f34c2775e423e84ae80957c5d3d36da1fe5713cd8c08", "generator_version": "3.0"}
{"id": "v3_val_00003392", "prompt": "What is -5 + 46?", "solution_steps": ["Add: -5 + 46 = 41"], "final_answer": "41", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 46", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 46}", "seed": "17883623956358689408", "semantic_fingerprint": "sha256:fc0a4120a7f753637c9b7a3a06ca7f980163419ff0e1037c806b77fd8d0736ea", "generator_version": "3.0"}
{"id": "v3_val_00003393", "prompt": "Solve the equation x = 5(x - 453) for x.", "solution_steps": ["Expand: x = 5x - 2265", "Subtract 5x from both sides: -4x = -2265", "Divide both sides by -4: x = 2265/4"], "final_answer": "2265/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 5(x - 453)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 453}", "seed": "2356562093692422113", "semantic_fingerprint": "sha256:10b9e5a466b14e04753a5e4a4b17db616a31a4e91bba6f07a430761b79a55124", "generator_version": "3.0"}
{"id": "v3_val_00003394", "prompt": "What value of x satisfies -3(x + 42) - 83 = 7x?", "solution_steps": ["Expand: -3x - 126 - 83 = 7x", "Combine constants: -3x - 209 = 7x", "Subtract 7x from both sides: -10x - 209 = 0", "Add 209 to both sides: -10x = 209", "Divide both sides by -10: x = -209/10"], "final_answer": "-209/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 42) - 83 = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 42, \"c\": 83, \"d\": 7}", "seed": "9478482903372865371", "semantic_fingerprint": "sha256:404c43a46aca6436a1348367261c83924ec3bab726e7ad28e1fa95cb9be1effc", "generator_version": "3.0"}
{"id": "v3_val_00003395", "prompt": "Solve for x: x + 9 = 10x - 54", "solution_steps": ["Subtract 10x from both sides: -9x + 9 = -54", "Subtract 9 from both sides: -9x = -63", "Divide both sides by -9: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9 = 10x - 54", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"d\": -54, \"x\": 7}", "seed": "8945307675638162504", "semantic_fingerprint": "sha256:ad6623096ee74e0301d1d16ec8f66a25317ac1099074d2a85d87be9b21edb15d", "generator_version": "3.0"}
{"id": "v3_val_00003396", "prompt": "Evaluate: 47 * 3 / 7", "solution_steps": ["Multiply: 47 * 3 = 141", "Divide: 141 / 7 = 141/7"], "final_answer": "141/7", "answer_type": "rational", "kind": "expression", "math_text": "47 * 3 / 7", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 3, \"c\": 7}", "seed": "14483864635335456551", "semantic_fingerprint": "sha256:4dbc0b516c9cddd1187505b74a36b23fe0957333696be5b5a67c3a6f4a5a1f4e", "generator_version": "3.0"}
{"id": "v3_val_00003397", "prompt": "Find x: x - 7 = 2(x - 5) - 1", "solution_steps": ["Expand: x - 7 = 2x - 10 - 1", "Combine constants: x - 7 = 2x - 11", "Subtract 2x from both sides: -x - 7 = -11", "Add 7 to both sides: -x = -4", "Divide both sides by -1: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = 2(x - 5) - 1", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 5, \"d\": 1}", "seed": "5685790819626640890", "semantic_fingerprint": "sha256:da8808cf1110a28b9fe965cb7d3dc91574511256aca4e18d9d251fc80631360f", "generator_version": "3.0"}
{"id": "v3_val_00003398", "prompt": "Compute: 16 + (55 + (-41 + (-8)))", "solution_steps": ["Add: -41 + (-8) = -49", "Add: 55 + (-49) = 6", "Add: 16 + 6 = 22"], "final_answer": "22", "answer_type": "integer", "kind": "expression", "math_text": "16 + (55 + (-41 + (-8)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 55, \"c\": -41, \"d\": -8}", "seed": "13935204319304624621", "semantic_fingerprint": "sha256:878f93d4979ca06a488732f7d4318c4bc99a293f5d7d76cba6a01bb7cd5e0275", "generator_version": "3.0"}
{"id": "v3_val_00003399", "prompt": "What value of x satisfies 4x = 3x?", "solution_steps": ["Subtract 3x from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 3x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3}", "seed": "1197785854954211490", "semantic_fingerprint": "sha256:d7ba5507c815a19d8ad220c04273a22882e1e51da0c4250b5d995338a5d75052", "generator_version": "3.0"}
{"id": "v3_val_00003400", "prompt": "What value of x satisfies -4(x - 89) - 41 = 3(x + 9) + 421?", "solution_steps": ["Expand: -4x + 356 - 41 = 3(x + 9) + 421", "Expand: -4x + 356 - 41 = 3x + 27 + 421", "Combine constants: -4x + 315 = 3x + 27 + 421", "Combine constants: -4x + 315 = 3x + 448", "Subtract 3x from both sides: -7x + 315 = 448", "Subtract 315 from both sides: -7x = 133", "Divide both sides by -7: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 89) - 41 = 3(x + 9) + 421", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 89, \"c\": 41, \"d\": 3, \"e\": 9, \"g\": 421, \"x\": -19}", "seed": "2733074990215944020", "semantic_fingerprint": "sha256:2dbfed77d10d929389310086b1eec1a339a293803386790fe2d7e6a0efd97255", "generator_version": "3.0"}
{"id": "v3_val_00003401", "prompt": "Calculate: -6 / (-57 + (-846) - (-2 - 487)) - 258", "solution_steps": ["Add: -57 + (-846) = -903", "Subtract: -2 - 487 = -489", "Subtract: -903 - (-489) = -414", "Divide: -6 / (-414) = 1/69", "Subtract: 1/69 - 258 = -17801/69"], "final_answer": "-17801/69", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-57 + (-846) - (-2 - 487)) - 258", "variable": null, "family": "expression_5op", "shape": "(- (/ n (- (+ n n) (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -57, \"c\": -846, \"d\": -2, \"e\": 487, \"f\": 258}", "seed": "1727249112024563300", "semantic_fingerprint": "sha256:0232c5ba780084daa66db4b7dcc37bf79b893ee535d362d893d2298323f0d1c9", "generator_version": "3.0"}
{"id": "v3_val_00003402", "prompt": "Solve for x: x + 40 = 11x", "solution_steps": ["Subtract 11x from both sides: -10x + 40 = 0", "Subtract 40 from both sides: -10x = -40", "Divide both sides by -10: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 40 = 11x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 40, \"x\": 4}", "seed": "10339518506254158431", "semantic_fingerprint": "sha256:765539430f85c806732112f7ad6efe5462807a646f4eb99faa8345b29dfaca86", "generator_version": "3.0"}
{"id": "v3_val_00003403", "prompt": "Evaluate: 2 - 26 - 9 + (501 - (659 - (-69)))", "solution_steps": ["Subtract: 2 - 26 = -24", "Subtract: -24 - 9 = -33", "Subtract: 659 - (-69) = 728", "Subtract: 501 - 728 = -227", "Add: -33 + (-227) = -260"], "final_answer": "-260", "answer_type": "integer", "kind": "expression", "math_text": "2 - 26 - 9 + (501 - (659 - (-69)))", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 26, \"c\": 9, \"d\": 501, \"e\": 659, \"f\": -69}", "seed": "7434968271297708620", "semantic_fingerprint": "sha256:d2654f03b01cc3a988af13c5e28adf56d5d689f61774cf9e2bbb4116c652c48e", "generator_version": "3.0"}
{"id": "v3_val_00003404", "prompt": "Evaluate: 76 - (35 + (-288)) * (-178)", "solution_steps": ["Add: 35 + (-288) = -253", "Multiply: -253 * (-178) = 45034", "Subtract: 76 - 45034 = -44958"], "final_answer": "-44958", "answer_type": "integer", "kind": "expression", "math_text": "76 - (35 + (-288)) * (-178)", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 35, \"c\": -288, \"d\": -178}", "seed": "15458527079774104070", "semantic_fingerprint": "sha256:9c93feed059d6d5f0a6bdde9cbf2a294b931ba049bd75149e36604514e482ba5", "generator_version": "3.0"}
{"id": "v3_val_00003405", "prompt": "Compute: -13 / (42 - (75 + (-97) * (-20)))", "solution_steps": ["Multiply: -97 * (-20) = 1940", "Add: 75 + 1940 = 2015", "Subtract: 42 - 2015 = -1973", "Divide: -13 / (-1973) = 13/1973"], "final_answer": "13/1973", "answer_type": "rational", "kind": "expression", "math_text": "-13 / (42 - (75 + (-97) * (-20)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 42, \"c\": 75, \"d\": -97, \"e\": -20}", "seed": "4869582736280408041", "semantic_fingerprint": "sha256:62fe8d53dd209060f56e1cb31dae5102157a83b2c7ec297bf791e6f8ca539b46", "generator_version": "3.0"}
{"id": "v3_val_00003406", "prompt": "Solve the equation 5(x + 9) + 65 = x for x.", "solution_steps": ["Expand: 5x + 45 + 65 = x", "Combine constants: 5x + 110 = x", "Subtract x from both sides: 4x + 110 = 0", "Subtract 110 from both sides: 4x = -110", "Divide both sides by 4: x = -55/2"], "final_answer": "-55/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 9) + 65 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 65}", "seed": "8378696277882417076", "semantic_fingerprint": "sha256:34fdd473e85943049222076de8fda16b3f4d0d31950c911ca0fccfb4ada636c0", "generator_version": "3.0"}
{"id": "v3_val_00003407", "prompt": "Calculate: -71 + (-392 - (-63 - (-357) + 77))", "solution_steps": ["Subtract: -63 - (-357) = 294", "Add: 294 + 77 = 371", "Subtract: -392 - 371 = -763", "Add: -71 + (-763) = -834"], "final_answer": "-834", "answer_type": "integer", "kind": "expression", "math_text": "-71 + (-392 - (-63 - (-357) + 77))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -392, \"c\": -63, \"d\": -357, \"e\": 77}", "seed": "481792374844680193", "semantic_fingerprint": "sha256:3bf13ac14078804e7c205dc2ac89ff01f97c4fbee9066f47fb6216f089b8fbdd", "generator_version": "3.0"}
{"id": "v3_val_00003408", "prompt": "Calculate: -85 - (-59) + (-30) * 26 / 1", "solution_steps": ["Subtract: -85 - (-59) = -26", "Multiply: -30 * 26 = -780", "Divide: -780 / 1 = -780", "Add: -26 + (-780) = -806"], "final_answer": "-806", "answer_type": "integer", "kind": "expression", "math_text": "-85 - (-59) + (-30) * 26 / 1", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -59, \"c\": -30, \"d\": 26, \"e\": 1}", "seed": "13694942243488358790", "semantic_fingerprint": "sha256:01f05e1da4d79015f581fed68bc4d78d0bdffa42fee127abc587ed6e2ff3e548", "generator_version": "3.0"}
{"id": "v3_val_00003409", "prompt": "What is (14 - 6) * (-1 - 72)?", "solution_steps": ["Subtract: 14 - 6 = 8", "Subtract: -1 - 72 = -73", "Multiply: 8 * (-73) = -584"], "final_answer": "-584", "answer_type": "integer", "kind": "expression", "math_text": "(14 - 6) * (-1 - 72)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 6, \"c\": -1, \"d\": 72}", "seed": "8102016096515707021", "semantic_fingerprint": "sha256:5f81e25998faefb9157d8ecaffad4d9bfb8b6ac8832a215840c7b7433868717c", "generator_version": "3.0"}
{"id": "v3_val_00003410", "prompt": "Calculate: -7 - (1 + (-9)) * (-72)", "solution_steps": ["Add: 1 + (-9) = -8", "Multiply: -8 * (-72) = 576", "Subtract: -7 - 576 = -583"], "final_answer": "-583", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (1 + (-9)) * (-72)", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": -9, \"d\": -72}", "seed": "5524882769439354381", "semantic_fingerprint": "sha256:9ae8d0610e0b96afec9477db7f6c8f40f153d5dbc0b8c2ee65d87bdcd0c06cca", "generator_version": "3.0"}
{"id": "v3_val_00003411", "prompt": "Calculate: 15 - 871", "solution_steps": ["Subtract: 15 - 871 = -856"], "final_answer": "-856", "answer_type": "integer", "kind": "expression", "math_text": "15 - 871", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 871}", "seed": "1651569891220474288", "semantic_fingerprint": "sha256:a7e30e4703f3ceb22c1bb9238d51d35092e513d93fd1480e94dbfb5016662369", "generator_version": "3.0"}
{"id": "v3_val_00003412", "prompt": "Find x: -5(x - 78) - 951 = x - 37", "solution_steps": ["Expand: -5x + 390 - 951 = x - 37", "Combine constants: -5x - 561 = x - 37", "Subtract x from both sides: -6x - 561 = -37", "Add 561 to both sides: -6x = 524", "Divide both sides by -6: x = -262/3"], "final_answer": "-262/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 78) - 951 = x - 37", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 78, \"c\": 951, \"d\": 37}", "seed": "5072798194778273401", "semantic_fingerprint": "sha256:ecf267939e05ad768c7cbb2212cddec1a374ff4f494a6d99cb81ccb6698ecd2b", "generator_version": "3.0"}
{"id": "v3_val_00003413", "prompt": "Compute: (55 + 1) / (-23)", "solution_steps": ["Add: 55 + 1 = 56", "Divide: 56 / (-23) = -56/23"], "final_answer": "-56/23", "answer_type": "rational", "kind": "expression", "math_text": "(55 + 1) / (-23)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 1, \"c\": -23}", "seed": "16769756506436237850", "semantic_fingerprint": "sha256:6d6eb21c6f829e4f0fc5ebdff87813ef1f898075cc1c7ee51073f97a1ef0ab2a", "generator_version": "3.0"}
{"id": "v3_val_00003414", "prompt": "What is (-142 + 1) / (-3) * (-22)?", "solution_steps": ["Add: -142 + 1 = -141", "Divide: -141 / (-3) = 47", "Multiply: 47 * (-22) = -1034"], "final_answer": "-1034", "answer_type": "integer", "kind": "expression", "math_text": "(-142 + 1) / (-3) * (-22)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -142, \"b\": 1, \"c\": -3, \"d\": -22}", "seed": "531136057555415620", "semantic_fingerprint": "sha256:24dd71dd135825985b256802019237701b94fc13a449e935f33467846bb75bb4", "generator_version": "3.0"}
{"id": "v3_val_00003415", "prompt": "Solve for x: x + 52 = 3(x + 79) - 145", "solution_steps": ["Expand: x + 52 = 3x + 237 - 145", "Combine constants: x + 52 = 3x + 92", "Subtract 3x from both sides: -2x + 52 = 92", "Subtract 52 from both sides: -2x = 40", "Divide both sides by -2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 52 = 3(x + 79) - 145", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 3, \"c\": 79, \"e\": -145, \"x\": -20}", "seed": "11330814217518351655", "semantic_fingerprint": "sha256:94ff49c405bae83d07fb97071b4ecce83c457c7aba9338b5e3383c65f855be2f", "generator_version": "3.0"}
{"id": "v3_val_00003416", "prompt": "Calculate: -96 / (-91)", "solution_steps": ["Divide: -96 / (-91) = 96/91"], "final_answer": "96/91", "answer_type": "rational", "kind": "expression", "math_text": "-96 / (-91)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -91}", "seed": "15748456526043635423", "semantic_fingerprint": "sha256:d154a3786a21b986a3388bf6f5596ed4ea853a9d63c29c9237fd174d837aa95f", "generator_version": "3.0"}
{"id": "v3_val_00003417", "prompt": "Compute: -45 / (-5)", "solution_steps": ["Divide: -45 / (-5) = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "-45 / (-5)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -5}", "seed": "2688456942956256624", "semantic_fingerprint": "sha256:e27319adf24af7e54206c03f80adcfce31de3e974294972d007810a4c7605b70", "generator_version": "3.0"}
{"id": "v3_val_00003418", "prompt": "Calculate: 7 * 1 * (3 + 36)", "solution_steps": ["Multiply: 7 * 1 = 7", "Add: 3 + 36 = 39", "Multiply: 7 * 39 = 273"], "final_answer": "273", "answer_type": "integer", "kind": "expression", "math_text": "7 * 1 * (3 + 36)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 3, \"d\": 36}", "seed": "16893302857438409858", "semantic_fingerprint": "sha256:56e9bbf9c98a5fecb5a176cd35dc894d23d83d7f33d13803231f9640c55eec8c", "generator_version": "3.0"}
{"id": "v3_val_00003419", "prompt": "Solve for x: -10(x - 2) = 11(x + 29) - 6", "solution_steps": ["Expand: -10x + 20 = 11(x + 29) - 6", "Expand: -10x + 20 = 11x + 319 - 6", "Combine constants: -10x + 20 = 11x + 313", "Subtract 11x from both sides: -21x + 20 = 313", "Subtract 20 from both sides: -21x = 293", "Divide both sides by -21: x = -293/21"], "final_answer": "-293/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 2) = 11(x + 29) - 6", "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\": 11, \"d\": 29, \"e\": 6}", "seed": "15287683840181374399", "semantic_fingerprint": "sha256:11cd64b50c913ef699284d3229a5cb8e3f5ee7df6c5eb2f8597df81649473654", "generator_version": "3.0"}
{"id": "v3_val_00003420", "prompt": "What value of x satisfies 6(x - 51) + 17 = 11x - 234?", "solution_steps": ["Expand: 6x - 306 + 17 = 11x - 234", "Combine constants: 6x - 289 = 11x - 234", "Subtract 11x from both sides: -5x - 289 = -234", "Add 289 to both sides: -5x = 55", "Divide both sides by -5: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 51) + 17 = 11x - 234", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 51, \"c\": 17, \"d\": 11, \"f\": -234, \"x\": -11}", "seed": "10128157601406981167", "semantic_fingerprint": "sha256:d2f6dbf48cda402537d49eeae84440b966c2c1289e7048dd922690803c63ea36", "generator_version": "3.0"}
{"id": "v3_val_00003421", "prompt": "Evaluate: (-1 + (-403)) / (-36) * 896 * 5 - 9", "solution_steps": ["Add: -1 + (-403) = -404", "Divide: -404 / (-36) = 101/9", "Multiply: (101/9) * 896 = 90496/9", "Multiply: (90496/9) * 5 = 452480/9", "Subtract: 452480/9 - 9 = 452399/9"], "final_answer": "452399/9", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + (-403)) / (-36) * 896 * 5 - 9", "variable": null, "family": "expression_5op", "shape": "(- (* (* (/ (+ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -403, \"c\": -36, \"d\": 896, \"e\": 5, \"f\": 9}", "seed": "11245879997334087714", "semantic_fingerprint": "sha256:df6aa89221538cbf59456b892e5dbd98c414d2bfd48dfe875a9d97fa339fb4eb", "generator_version": "3.0"}
{"id": "v3_val_00003422", "prompt": "Compute: 1 - 6 / (-10)", "solution_steps": ["Divide: 6 / (-10) = -3/5", "Subtract: 1 - (-3/5) = 8/5"], "final_answer": "8/5", "answer_type": "rational", "kind": "expression", "math_text": "1 - 6 / (-10)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 6, \"c\": -10}", "seed": "8993224335117997520", "semantic_fingerprint": "sha256:232709fd58670976cd2d79b4348483dcf08050364b2d7c69c81d508fbd7b6f7f", "generator_version": "3.0"}
{"id": "v3_val_00003423", "prompt": "Evaluate: 4 / (-7) + (1 - (-311))", "solution_steps": ["Divide: 4 / (-7) = -4/7", "Subtract: 1 - (-311) = 312", "Add: -4/7 + 312 = 2180/7"], "final_answer": "2180/7", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-7) + (1 - (-311))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -7, \"c\": 1, \"d\": -311}", "seed": "5803246115529475478", "semantic_fingerprint": "sha256:7b1c15f73029c3644fc51ab6c73107439b4c0dafd07605f6fa698f289e43bf46", "generator_version": "3.0"}
{"id": "v3_val_00003424", "prompt": "What value of x satisfies x + 388 = 10(x + 49) - 174?", "solution_steps": ["Expand: x + 388 = 10x + 490 - 174", "Combine constants: x + 388 = 10x + 316", "Subtract 10x from both sides: -9x + 388 = 316", "Subtract 388 from both sides: -9x = -72", "Divide both sides by -9: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 388 = 10(x + 49) - 174", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 388, \"b\": 10, \"c\": 49, \"e\": -174, \"x\": 8}", "seed": "3340161450000366857", "semantic_fingerprint": "sha256:b6bf4d9b532ce133b0a96f56cb67dae3f46c33301f5de268048620a9c250eb80", "generator_version": "3.0"}
{"id": "v3_val_00003425", "prompt": "Calculate: 97 / 43", "solution_steps": ["Divide: 97 / 43 = 97/43"], "final_answer": "97/43", "answer_type": "rational", "kind": "expression", "math_text": "97 / 43", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 43}", "seed": "14530460058157349473", "semantic_fingerprint": "sha256:cea2ea395b0df1b9753bb1a1644e000647b0b202da6fb6f79b1dee3c196fe011", "generator_version": "3.0"}
{"id": "v3_val_00003426", "prompt": "Calculate: -38 * (-41) / 36", "solution_steps": ["Multiply: -38 * (-41) = 1558", "Divide: 1558 / 36 = 779/18"], "final_answer": "779/18", "answer_type": "rational", "kind": "expression", "math_text": "-38 * (-41) / 36", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -41, \"c\": 36}", "seed": "3984178244175329327", "semantic_fingerprint": "sha256:dfcbd8139ee822eae3e328540dfb086cd980568c34825cba98ef822faebc47df", "generator_version": "3.0"}
{"id": "v3_val_00003427", "prompt": "Solve for x: 3(x + 9) - 580 = 11(x + 17) - 820", "solution_steps": ["Expand: 3x + 27 - 580 = 11(x + 17) - 820", "Expand: 3x + 27 - 580 = 11x + 187 - 820", "Combine constants: 3x - 553 = 11x + 187 - 820", "Combine constants: 3x - 553 = 11x - 633", "Subtract 11x from both sides: -8x - 553 = -633", "Add 553 to both sides: -8x = -80", "Divide both sides by -8: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 9) - 580 = 11(x + 17) - 820", "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\": 580, \"d\": 11, \"e\": 17, \"g\": -820, \"x\": 10}", "seed": "13367110861998791197", "semantic_fingerprint": "sha256:38674f3fdf446f0926ba592f1ddafd45fb950582115f7041c3d1c47aefcf8621", "generator_version": "3.0"}
{"id": "v3_val_00003428", "prompt": "Evaluate: -261 / (-1 + (-53) - 9)", "solution_steps": ["Add: -1 + (-53) = -54", "Subtract: -54 - 9 = -63", "Divide: -261 / (-63) = 29/7"], "final_answer": "29/7", "answer_type": "rational", "kind": "expression", "math_text": "-261 / (-1 + (-53) - 9)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -261, \"b\": -1, \"c\": -53, \"d\": 9}", "seed": "4456076168746712299", "semantic_fingerprint": "sha256:8ac9ac43a055408c8601f297a6116f55a576d9c3444a6cc3e531c4f831213b35", "generator_version": "3.0"}
{"id": "v3_val_00003429", "prompt": "Solve the equation 12(x - 26) + 31 = x - 39 for x.", "solution_steps": ["Expand: 12x - 312 + 31 = x - 39", "Combine constants: 12x - 281 = x - 39", "Subtract x from both sides: 11x - 281 = -39", "Add 281 to both sides: 11x = 242", "Divide both sides by 11: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 26) + 31 = x - 39", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 26, \"c\": 31, \"d\": 39}", "seed": "12624584379937533747", "semantic_fingerprint": "sha256:f3cd7b1e7caa138ae42371834b1ab26a3089c78a95c37922481422d9d2175404", "generator_version": "3.0"}
{"id": "v3_val_00003430", "prompt": "Evaluate: -50 + 235 + 10", "solution_steps": ["Add: -50 + 235 = 185", "Add: 185 + 10 = 195"], "final_answer": "195", "answer_type": "integer", "kind": "expression", "math_text": "-50 + 235 + 10", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 235, \"c\": 10}", "seed": "10371270646587958036", "semantic_fingerprint": "sha256:14dd193020808f5f57e5331f0c7b35771ea63c40eb8b8599278d44c5518af02b", "generator_version": "3.0"}
{"id": "v3_val_00003431", "prompt": "What is 5 * (83 + 94)?", "solution_steps": ["Add: 83 + 94 = 177", "Multiply: 5 * 177 = 885"], "final_answer": "885", "answer_type": "integer", "kind": "expression", "math_text": "5 * (83 + 94)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 83, \"c\": 94}", "seed": "8719606148208739159", "semantic_fingerprint": "sha256:a712b957eb8a7e6d0a3f179fd1757ebc10a1eba39e6499fc5c32c9f71089a776", "generator_version": "3.0"}
{"id": "v3_val_00003432", "prompt": "What value of x satisfies 9(x - 95) = 12(x - 2) - 849?", "solution_steps": ["Expand: 9x - 855 = 12(x - 2) - 849", "Expand: 9x - 855 = 12x - 24 - 849", "Combine constants: 9x - 855 = 12x - 873", "Subtract 12x from both sides: -3x - 855 = -873", "Add 855 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 - 95) = 12(x - 2) - 849", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 95, \"c\": 12, \"d\": 2, \"f\": -849, \"x\": 6}", "seed": "37203436902932842", "semantic_fingerprint": "sha256:e6ed776808f3b36c971d6d35dc9f0592327a2670b4fba951d50dbe069675ad1d", "generator_version": "3.0"}
{"id": "v3_val_00003433", "prompt": "Evaluate: (797 + (-996)) * 0 - 13 * 32", "solution_steps": ["Add: 797 + (-996) = -199", "Multiply: -199 * 0 = 0", "Multiply: 13 * 32 = 416", "Subtract: 0 - 416 = -416"], "final_answer": "-416", "answer_type": "integer", "kind": "expression", "math_text": "(797 + (-996)) * 0 - 13 * 32", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 797, \"b\": -996, \"c\": 0, \"d\": 13, \"e\": 32}", "seed": "9457325197238220935", "semantic_fingerprint": "sha256:100ef5c3cfe04a482216712552e8a1b1f865ed544034c553c3392c9299d42964", "generator_version": "3.0"}
{"id": "v3_val_00003434", "prompt": "What value of x satisfies x - 5 = -11x + 7?", "solution_steps": ["Add 11x to both sides: 12x - 5 = 7", "Add 5 to both sides: 12x = 12", "Divide both sides by 12: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = -11x + 7", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -11, \"c\": 7}", "seed": "18100359021949178114", "semantic_fingerprint": "sha256:a99d02510b9b56b24231d33b086317ca3e1b4692ca0b6d735401909fadbe4556", "generator_version": "3.0"}
{"id": "v3_val_00003435", "prompt": "Compute: 315 + 826", "solution_steps": ["Add: 315 + 826 = 1141"], "final_answer": "1141", "answer_type": "integer", "kind": "expression", "math_text": "315 + 826", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 315, \"b\": 826}", "seed": "17868651173475916264", "semantic_fingerprint": "sha256:0219c927dabd58f7fee362d8baabee54c498d59e3e3cca09b38269d4176c49d8", "generator_version": "3.0"}
{"id": "v3_val_00003436", "prompt": "Find x: 2(x - 9) - 134 = x - 139", "solution_steps": ["Expand: 2x - 18 - 134 = x - 139", "Combine constants: 2x - 152 = x - 139", "Subtract x from both sides: x - 152 = -139", "Add 152 to both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 9) - 134 = x - 139", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 134, \"e\": -139, \"x\": 13}", "seed": "17686106641075326357", "semantic_fingerprint": "sha256:4e4aa7519866a33abeb5f6b44f2bdceae8ef20682b9c34750259595c3a7d7c1c", "generator_version": "3.0"}
{"id": "v3_val_00003437", "prompt": "Calculate: 5 + (-29 - (-7) * 879)", "solution_steps": ["Multiply: -7 * 879 = -6153", "Subtract: -29 - (-6153) = 6124", "Add: 5 + 6124 = 6129"], "final_answer": "6129", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-29 - (-7) * 879)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -29, \"c\": -7, \"d\": 879}", "seed": "17533354750016638441", "semantic_fingerprint": "sha256:78b340d7a2b7f94dbf41157e90f4aef8909744ce2b9ca48a3b45f63870be0b89", "generator_version": "3.0"}
{"id": "v3_val_00003438", "prompt": "Evaluate: 95 / (-382 - (-62))", "solution_steps": ["Subtract: -382 - (-62) = -320", "Divide: 95 / (-320) = -19/64"], "final_answer": "-19/64", "answer_type": "rational", "kind": "expression", "math_text": "95 / (-382 - (-62))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -382, \"c\": -62}", "seed": "14865890554208119064", "semantic_fingerprint": "sha256:94ddf7b735607db2618cf220fe5ab7ad5ed6b55c8fcea0987a615669579f39ad", "generator_version": "3.0"}
{"id": "v3_val_00003439", "prompt": "What is -5 / 8 * (-6)?", "solution_steps": ["Divide: -5 / 8 = -5/8", "Multiply: (-5/8) * (-6) = 15/4"], "final_answer": "15/4", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 8 * (-6)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 8, \"c\": -6}", "seed": "6289951340039531153", "semantic_fingerprint": "sha256:24adfcb0d73fd309ae8e3ea94e3c0d3e4d5c37b43cfe08dd717046e3dc76e93a", "generator_version": "3.0"}
{"id": "v3_val_00003440", "prompt": "Calculate: -72 * (-50) * (-68 - 3)", "solution_steps": ["Multiply: -72 * (-50) = 3600", "Subtract: -68 - 3 = -71", "Multiply: 3600 * (-71) = -255600"], "final_answer": "-255600", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (-50) * (-68 - 3)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -50, \"c\": -68, \"d\": 3}", "seed": "7830801529650663507", "semantic_fingerprint": "sha256:50e1b03e84f3a18ae570782b721abb8d3f4f1b1856e797d08d4ed2d9e3e48e74", "generator_version": "3.0"}
{"id": "v3_val_00003441", "prompt": "What is 661 + (-32) + (-49 - 44)?", "solution_steps": ["Add: 661 + (-32) = 629", "Subtract: -49 - 44 = -93", "Add: 629 + (-93) = 536"], "final_answer": "536", "answer_type": "integer", "kind": "expression", "math_text": "661 + (-32) + (-49 - 44)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 661, \"b\": -32, \"c\": -49, \"d\": 44}", "seed": "17997992473437264414", "semantic_fingerprint": "sha256:e977771f9e1e21cc97ef1be6ef9677612ebe0a70cb69f69af9941bf00a148456", "generator_version": "3.0"}
{"id": "v3_val_00003442", "prompt": "Compute: (-12 + 8) / (8 / (-730 * (-24) - (-350)))", "solution_steps": ["Add: -12 + 8 = -4", "Multiply: -730 * (-24) = 17520", "Subtract: 17520 - (-350) = 17870", "Divide: 8 / 17870 = 4/8935", "Divide: -4 / (4/8935) = -8935"], "final_answer": "-8935", "answer_type": "integer", "kind": "expression", "math_text": "(-12 + 8) / (8 / (-730 * (-24) - (-350)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (/ n (- (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 8, \"c\": 8, \"d\": -730, \"e\": -24, \"f\": -350}", "seed": "14342228768341517147", "semantic_fingerprint": "sha256:16b10d739fddd9cc73313d6398061d1c7b4989ac2946a0f7680c810eb9b49284", "generator_version": "3.0"}
{"id": "v3_val_00003443", "prompt": "Calculate: -3 - 7 + 8", "solution_steps": ["Subtract: -3 - 7 = -10", "Add: -10 + 8 = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "-3 - 7 + 8", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"c\": 8}", "seed": "9699003263203798204", "semantic_fingerprint": "sha256:26615fa6beeb036b3c3f94ce73ce53fa7866476ff596f137bdc00ea674ececed", "generator_version": "3.0"}
{"id": "v3_val_00003444", "prompt": "Calculate: 9 - (-96) - 0 * 87", "solution_steps": ["Subtract: 9 - (-96) = 105", "Multiply: 0 * 87 = 0", "Subtract: 105 - 0 = 105"], "final_answer": "105", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-96) - 0 * 87", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -96, \"c\": 0, \"d\": 87}", "seed": "13078608443998828891", "semantic_fingerprint": "sha256:158e54d600008f9bea6d5621339700d3833dab581821744164e5e604fb04337d", "generator_version": "3.0"}
{"id": "v3_val_00003445", "prompt": "Solve the equation -12(x + 866) - 5 = -9x + 25 for x.", "solution_steps": ["Expand: -12x - 10392 - 5 = -9x + 25", "Combine constants: -12x - 10397 = -9x + 25", "Add 9x to both sides: -3x - 10397 = 25", "Add 10397 to both sides: -3x = 10422", "Divide both sides by -3: x = -3474"], "final_answer": "-3474", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 866) - 5 = -9x + 25", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 866, \"c\": 5, \"d\": -9, \"e\": 25}", "seed": "9309418438621819129", "semantic_fingerprint": "sha256:bdf4278b9f11d8b695197b3556d06c84a5f1793f6a3951affe2ab3c259f8162f", "generator_version": "3.0"}
{"id": "v3_val_00003446", "prompt": "Calculate: -56 + (32 * (-9) + 67 + (-698))", "solution_steps": ["Multiply: 32 * (-9) = -288", "Add: -288 + 67 = -221", "Add: -221 + (-698) = -919", "Add: -56 + (-919) = -975"], "final_answer": "-975", "answer_type": "integer", "kind": "expression", "math_text": "-56 + (32 * (-9) + 67 + (-698))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 32, \"c\": -9, \"d\": 67, \"e\": -698}", "seed": "2266336006536111791", "semantic_fingerprint": "sha256:61c30e7a5c90484d088485c32329d998d765f9b565765fce68e1ffbd91eae519", "generator_version": "3.0"}
{"id": "v3_val_00003447", "prompt": "Calculate: 238 * (-2) / (10 * (-1 - 585))", "solution_steps": ["Multiply: 238 * (-2) = -476", "Subtract: -1 - 585 = -586", "Multiply: 10 * (-586) = -5860", "Divide: -476 / (-5860) = 119/1465"], "final_answer": "119/1465", "answer_type": "rational", "kind": "expression", "math_text": "238 * (-2) / (10 * (-1 - 585))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 238, \"b\": -2, \"c\": 10, \"d\": -1, \"e\": 585}", "seed": "1333433425898961160", "semantic_fingerprint": "sha256:1b945e556a9df6a2b78f6b6cfc65c787c3c1cac1c43dd2e7b4a2662b4fa86258", "generator_version": "3.0"}
{"id": "v3_val_00003448", "prompt": "Find x: x - 40 = 887", "solution_steps": ["Add 40 to both sides: x = 927"], "final_answer": "927", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 40 = 887", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 887}", "seed": "12338863126037583182", "semantic_fingerprint": "sha256:747a3f29c73a22ffcb8eb87e5cfcb46d28179ef7d07e22cd1ca1ed084eefe0b1", "generator_version": "3.0"}
{"id": "v3_val_00003449", "prompt": "What value of x satisfies -11(x + 2) + 4 = -4(x - 21) + 75?", "solution_steps": ["Expand: -11x - 22 + 4 = -4(x - 21) + 75", "Expand: -11x - 22 + 4 = -4x + 84 + 75", "Combine constants: -11x - 18 = -4x + 84 + 75", "Combine constants: -11x - 18 = -4x + 159", "Add 4x to both sides: -7x - 18 = 159", "Add 18 to both sides: -7x = 177", "Divide both sides by -7: x = -177/7"], "final_answer": "-177/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 2) + 4 = -4(x - 21) + 75", "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\": 4, \"d\": -4, \"e\": 21, \"f\": 75}", "seed": "11759429239736734242", "semantic_fingerprint": "sha256:5580a1482156be9f42aa31d2f01fee50064e8ef4f04a9cb58da3be58e061ae77", "generator_version": "3.0"}
{"id": "v3_val_00003450", "prompt": "Solve the equation 8x + 40 = 4x for x.", "solution_steps": ["Subtract 4x from 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": "8x + 40 = 4x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"d\": 40, \"x\": -10}", "seed": "8165529283168536060", "semantic_fingerprint": "sha256:904bb13b8628d3038241a87998585833665b961bbd44bed8adec746ff5b639e3", "generator_version": "3.0"}
{"id": "v3_val_00003451", "prompt": "Solve the equation -7(x - 9) + 41 = 12x - 826 for x.", "solution_steps": ["Expand: -7x + 63 + 41 = 12x - 826", "Combine constants: -7x + 104 = 12x - 826", "Subtract 12x from both sides: -19x + 104 = -826", "Subtract 104 from both sides: -19x = -930", "Divide both sides by -19: x = 930/19"], "final_answer": "930/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 9) + 41 = 12x - 826", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": 41, \"d\": 12, \"e\": 826}", "seed": "7484689027648406098", "semantic_fingerprint": "sha256:91055afbd7733698b3a2446e00cfa38bd609c3920c9f73859f7c7feca700e18c", "generator_version": "3.0"}
{"id": "v3_val_00003452", "prompt": "What value of x satisfies x + 18 = 7x?", "solution_steps": ["Subtract 7x 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": "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": "16448327035289383794", "semantic_fingerprint": "sha256:512b9e84cbef28c30dd9c541e1b6fd404e956efd810934f5d1b269c79bf1362c", "generator_version": "3.0"}
{"id": "v3_val_00003453", "prompt": "What is -677 / 97 + (-7)?", "solution_steps": ["Divide: -677 / 97 = -677/97", "Add: -677/97 + (-7) = -1356/97"], "final_answer": "-1356/97", "answer_type": "rational", "kind": "expression", "math_text": "-677 / 97 + (-7)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -677, \"b\": 97, \"c\": -7}", "seed": "13366657356702477553", "semantic_fingerprint": "sha256:c29496c3e2dcd20f837acedd34c4dd64342ec03a1ac70331a307aaa07ec6951a", "generator_version": "3.0"}
{"id": "v3_val_00003454", "prompt": "Calculate: 25 + (-72) / (-636)", "solution_steps": ["Divide: -72 / (-636) = 6/53", "Add: 25 + 6/53 = 1331/53"], "final_answer": "1331/53", "answer_type": "rational", "kind": "expression", "math_text": "25 + (-72) / (-636)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -72, \"c\": -636}", "seed": "12605216839672141053", "semantic_fingerprint": "sha256:c2d696ed5ca5ba824753027a40289cccfa2cc3217faa633a3238e57be9c2e9e7", "generator_version": "3.0"}
{"id": "v3_val_00003455", "prompt": "Calculate: -1 / (0 - (-4))", "solution_steps": ["Subtract: 0 - (-4) = 4", "Divide: -1 / 4 = -1/4"], "final_answer": "-1/4", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (0 - (-4))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 0, \"c\": -4}", "seed": "3343872556612866057", "semantic_fingerprint": "sha256:78310d3ee89678be9df6bce443df44f46f209cea0cc1bcf1d1b84ffe0faeecc6", "generator_version": "3.0"}
{"id": "v3_val_00003456", "prompt": "What is 925 / (-70 / (5 * (-28 + (-552))))?", "solution_steps": ["Add: -28 + (-552) = -580", "Multiply: 5 * (-580) = -2900", "Divide: -70 / (-2900) = 7/290", "Divide: 925 / (7/290) = 268250/7"], "final_answer": "268250/7", "answer_type": "rational", "kind": "expression", "math_text": "925 / (-70 / (5 * (-28 + (-552))))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (* n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 925, \"b\": -70, \"c\": 5, \"d\": -28, \"e\": -552}", "seed": "12304578377043253202", "semantic_fingerprint": "sha256:1e8351116f28b87a5af2a46f4f610a1969ac1a615cb140f895c868b6bcec65fe", "generator_version": "3.0"}
{"id": "v3_val_00003457", "prompt": "Calculate: 7 / 9 + (-40 + (-196)) / 20 + (-17)", "solution_steps": ["Divide: 7 / 9 = 7/9", "Add: -40 + (-196) = -236", "Divide: -236 / 20 = -59/5", "Add: 7/9 + (-59/5) = -496/45", "Add: -496/45 + (-17) = -1261/45"], "final_answer": "-1261/45", "answer_type": "rational", "kind": "expression", "math_text": "7 / 9 + (-40 + (-196)) / 20 + (-17)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ n n) (/ (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": -40, \"d\": -196, \"e\": 20, \"f\": -17}", "seed": "4795869325808324723", "semantic_fingerprint": "sha256:00ddf0f06015711cedb3aad109ec781e90bc3c5ffd13709c0bdf5677ab23f9f3", "generator_version": "3.0"}
{"id": "v3_val_00003458", "prompt": "Evaluate: -75 + ((-88 + (-7)) * (0 + 65) - (-913))", "solution_steps": ["Add: -88 + (-7) = -95", "Add: 0 + 65 = 65", "Multiply: -95 * 65 = -6175", "Subtract: -6175 - (-913) = -5262", "Add: -75 + (-5262) = -5337"], "final_answer": "-5337", "answer_type": "integer", "kind": "expression", "math_text": "-75 + ((-88 + (-7)) * (0 + 65) - (-913))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (* (+ n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -88, \"c\": -7, \"d\": 0, \"e\": 65, \"f\": -913}", "seed": "14038247521906344201", "semantic_fingerprint": "sha256:76710a47fe054de89259b804eb33accf344b60b9a81653a0f92d7279599dfb9f", "generator_version": "3.0"}
{"id": "v3_val_00003459", "prompt": "Evaluate: (0 - (-6)) * 279 + (-60)", "solution_steps": ["Subtract: 0 - (-6) = 6", "Multiply: 6 * 279 = 1674", "Add: 1674 + (-60) = 1614"], "final_answer": "1614", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-6)) * 279 + (-60)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -6, \"c\": 279, \"d\": -60}", "seed": "15817469632597400677", "semantic_fingerprint": "sha256:40b423e8a0a489acf38efcde03deac9335b4020c6b38e8ddfcf4d6c7db7de078", "generator_version": "3.0"}
{"id": "v3_val_00003460", "prompt": "Calculate: 754 * 17 + (-139) / 48", "solution_steps": ["Multiply: 754 * 17 = 12818", "Divide: -139 / 48 = -139/48", "Add: 12818 + (-139/48) = 615125/48"], "final_answer": "615125/48", "answer_type": "rational", "kind": "expression", "math_text": "754 * 17 + (-139) / 48", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 754, \"b\": 17, \"c\": -139, \"d\": 48}", "seed": "15282500652671300663", "semantic_fingerprint": "sha256:4f5d182524bed64dbca2024fd80f812dee203babeb3ca480bb4319cd62613ffc", "generator_version": "3.0"}
{"id": "v3_val_00003461", "prompt": "Compute: 66 - (-22) - (-939) * (-33)", "solution_steps": ["Subtract: 66 - (-22) = 88", "Multiply: -939 * (-33) = 30987", "Subtract: 88 - 30987 = -30899"], "final_answer": "-30899", "answer_type": "integer", "kind": "expression", "math_text": "66 - (-22) - (-939) * (-33)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -22, \"c\": -939, \"d\": -33}", "seed": "10901733773596114947", "semantic_fingerprint": "sha256:78c58f5516b0dd9fc8c6aa7a2593e51f9acf70598ebbd20b1aecd67cb160a0da", "generator_version": "3.0"}
{"id": "v3_val_00003462", "prompt": "What is -812 - (-6) / 877?", "solution_steps": ["Divide: -6 / 877 = -6/877", "Subtract: -812 - (-6/877) = -712118/877"], "final_answer": "-712118/877", "answer_type": "rational", "kind": "expression", "math_text": "-812 - (-6) / 877", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -812, \"b\": -6, \"c\": 877}", "seed": "8858776401371619729", "semantic_fingerprint": "sha256:bce1e748478e75d5247c7ce93ba1d38814100c2bdff09794b09e497a719200d5", "generator_version": "3.0"}
{"id": "v3_val_00003463", "prompt": "Compute: -5 + (59 + 325)", "solution_steps": ["Add: 59 + 325 = 384", "Add: -5 + 384 = 379"], "final_answer": "379", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (59 + 325)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 59, \"c\": 325}", "seed": "13417244954520455026", "semantic_fingerprint": "sha256:08a3ca1607f7187951f4d9a949f3433f9df05d899474d90941af201227e409b7", "generator_version": "3.0"}
{"id": "v3_val_00003464", "prompt": "Calculate: 66 + 4 + (42 / (-966) + 368)", "solution_steps": ["Add: 66 + 4 = 70", "Divide: 42 / (-966) = -1/23", "Add: -1/23 + 368 = 8463/23", "Add: 70 + 8463/23 = 10073/23"], "final_answer": "10073/23", "answer_type": "rational", "kind": "expression", "math_text": "66 + 4 + (42 / (-966) + 368)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 4, \"c\": 42, \"d\": -966, \"e\": 368}", "seed": "897829372669675887", "semantic_fingerprint": "sha256:3f48aeabe1e6a01002247232dd6781e56c1c3fa90b3ef61f6607a0453b55b995", "generator_version": "3.0"}
{"id": "v3_val_00003465", "prompt": "Calculate: 93 / 47", "solution_steps": ["Divide: 93 / 47 = 93/47"], "final_answer": "93/47", "answer_type": "rational", "kind": "expression", "math_text": "93 / 47", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 47}", "seed": "10874114851296649336", "semantic_fingerprint": "sha256:b60e70a006cb176a39199c97a056080ba2146b9a4cf7d5a1ace8c2af9506958c", "generator_version": "3.0"}
{"id": "v3_val_00003466", "prompt": "Calculate: -8 / (-31 + 41 / (-60))", "solution_steps": ["Divide: 41 / (-60) = -41/60", "Add: -31 + (-41/60) = -1901/60", "Divide: -8 / (-1901/60) = 480/1901"], "final_answer": "480/1901", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-31 + 41 / (-60))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -31, \"c\": 41, \"d\": -60}", "seed": "9904638119889531155", "semantic_fingerprint": "sha256:dc2f2a600daaef4d3bca17f6ea71b09b96fabe4ab61dcceb811ca48ac40da496", "generator_version": "3.0"}
{"id": "v3_val_00003467", "prompt": "What is 5 + (-97) + 5?", "solution_steps": ["Add: 5 + (-97) = -92", "Add: -92 + 5 = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-97) + 5", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -97, \"c\": 5}", "seed": "18199501227033196627", "semantic_fingerprint": "sha256:2b1b6e508447a8a0a2c0ca50407cc86fe853f21f30a02290ea5f2f08f684548c", "generator_version": "3.0"}
{"id": "v3_val_00003468", "prompt": "Solve the equation -8(x - 2) - 4 = -9x + 13 for x.", "solution_steps": ["Expand: -8x + 16 - 4 = -9x + 13", "Combine constants: -8x + 12 = -9x + 13", "Add 9x to both sides: x + 12 = 13", "Subtract 12 from both sides: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 2) - 4 = -9x + 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\": 4, \"d\": -9, \"f\": 13, \"x\": 1}", "seed": "7717836511936452686", "semantic_fingerprint": "sha256:c371693318c680b3148953144ddfde036aeb05236d1d86601af1e59ceaf97445", "generator_version": "3.0"}
{"id": "v3_val_00003469", "prompt": "What is -8 * 6 - (-6) - (-8) / 1?", "solution_steps": ["Multiply: -8 * 6 = -48", "Subtract: -48 - (-6) = -42", "Divide: -8 / 1 = -8", "Subtract: -42 - (-8) = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 6 - (-6) - (-8) / 1", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"c\": -6, \"d\": -8, \"e\": 1}", "seed": "14048822778306942689", "semantic_fingerprint": "sha256:64cbbee1bece1735bead985d5e457bf6930c6c0dd7e6a918cb34dec95792e5dc", "generator_version": "3.0"}
{"id": "v3_val_00003470", "prompt": "Calculate: 0 * (-176) - 692 / 65", "solution_steps": ["Multiply: 0 * (-176) = 0", "Divide: 692 / 65 = 692/65", "Subtract: 0 - 692/65 = -692/65"], "final_answer": "-692/65", "answer_type": "rational", "kind": "expression", "math_text": "0 * (-176) - 692 / 65", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -176, \"c\": 692, \"d\": 65}", "seed": "9306390875319772557", "semantic_fingerprint": "sha256:fa65213ae1e2e3f3741acdf7a0ef0268b018bee66a1391a595e83253b822efa8", "generator_version": "3.0"}
{"id": "v3_val_00003471", "prompt": "Evaluate: 25 / (-56 + (-3 - 3) + 93)", "solution_steps": ["Subtract: -3 - 3 = -6", "Add: -56 + (-6) = -62", "Add: -62 + 93 = 31", "Divide: 25 / 31 = 25/31"], "final_answer": "25/31", "answer_type": "rational", "kind": "expression", "math_text": "25 / (-56 + (-3 - 3) + 93)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -56, \"c\": -3, \"d\": 3, \"e\": 93}", "seed": "14620412815658870250", "semantic_fingerprint": "sha256:d997d37afe61ac5346b4aeefe24593d77aab610789d7eb565f08a8dc1a2689c8", "generator_version": "3.0"}
{"id": "v3_val_00003472", "prompt": "Solve the equation 6x + 98 = 10(x + 5) for x.", "solution_steps": ["Expand: 6x + 98 = 10x + 50", "Subtract 10x from both sides: -4x + 98 = 50", "Subtract 98 from both sides: -4x = -48", "Divide both sides by -4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 98 = 10(x + 5)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 10, \"c\": 5, \"e\": 98, \"x\": 12}", "seed": "10312419550206512724", "semantic_fingerprint": "sha256:ecc308f682c60e9e7b5c1b82a23a3bfdd2ca52181813021a317433b6add588bd", "generator_version": "3.0"}
{"id": "v3_val_00003473", "prompt": "Compute: 41 - (-57) / (-25)", "solution_steps": ["Divide: -57 / (-25) = 57/25", "Subtract: 41 - 57/25 = 968/25"], "final_answer": "968/25", "answer_type": "rational", "kind": "expression", "math_text": "41 - (-57) / (-25)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -57, \"c\": -25}", "seed": "14989496496200235997", "semantic_fingerprint": "sha256:85e4d6c4dd5d66535f06bdced329431efe9db08d9389430f38fb6a0c75b50fab", "generator_version": "3.0"}
{"id": "v3_val_00003474", "prompt": "What is -46 * (-48 - 3)?", "solution_steps": ["Subtract: -48 - 3 = -51", "Multiply: -46 * (-51) = 2346"], "final_answer": "2346", "answer_type": "integer", "kind": "expression", "math_text": "-46 * (-48 - 3)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -48, \"c\": 3}", "seed": "9486591624994817829", "semantic_fingerprint": "sha256:666a99b69f4e6d66188866ecefa5d7d8b47f1b8669187f65daa6d88b69238218", "generator_version": "3.0"}
{"id": "v3_val_00003475", "prompt": "Evaluate: -700 - 12", "solution_steps": ["Subtract: -700 - 12 = -712"], "final_answer": "-712", "answer_type": "integer", "kind": "expression", "math_text": "-700 - 12", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -700, \"b\": 12}", "seed": "10895065071223799837", "semantic_fingerprint": "sha256:855b70a200cc3c5db7ea391382f7c87e49a8d50a5e3f86386920699529720d6d", "generator_version": "3.0"}
{"id": "v3_val_00003476", "prompt": "Compute: 783 - (-70) + (5 * (-3) - 33)", "solution_steps": ["Subtract: 783 - (-70) = 853", "Multiply: 5 * (-3) = -15", "Subtract: -15 - 33 = -48", "Add: 853 + (-48) = 805"], "final_answer": "805", "answer_type": "integer", "kind": "expression", "math_text": "783 - (-70) + (5 * (-3) - 33)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 783, \"b\": -70, \"c\": 5, \"d\": -3, \"e\": 33}", "seed": "10915971928944123961", "semantic_fingerprint": "sha256:40da128728a509ba413101a453157b23b0c8bb08b7cbee29ef2f49e070aa440c", "generator_version": "3.0"}
{"id": "v3_val_00003477", "prompt": "Evaluate: (9 / (-7) + (-75)) / 77", "solution_steps": ["Divide: 9 / (-7) = -9/7", "Add: -9/7 + (-75) = -534/7", "Divide: (-534/7) / 77 = -534/539"], "final_answer": "-534/539", "answer_type": "rational", "kind": "expression", "math_text": "(9 / (-7) + (-75)) / 77", "variable": null, "family": "expression_3op", "shape": "(/ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -7, \"c\": -75, \"d\": 77}", "seed": "13238184301976404690", "semantic_fingerprint": "sha256:70d8104fff44c08d52ceff528d16640c4fd4fad6d7032994925459174e188915", "generator_version": "3.0"}
{"id": "v3_val_00003478", "prompt": "What value of x satisfies 12(x + 4) + 7 = x?", "solution_steps": ["Expand: 12x + 48 + 7 = x", "Combine constants: 12x + 55 = x", "Subtract x from both sides: 11x + 55 = 0", "Subtract 55 from both sides: 11x = -55", "Divide both sides by 11: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 4) + 7 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"d\": 7, \"x\": -5}", "seed": "11386181390031416652", "semantic_fingerprint": "sha256:93a789957d7556d0c69ef0135a0156883e6502b42869c95fc2d1e62edac35522", "generator_version": "3.0"}
{"id": "v3_val_00003479", "prompt": "Compute: (-766 - 6) / (-9) + 7", "solution_steps": ["Subtract: -766 - 6 = -772", "Divide: -772 / (-9) = 772/9", "Add: 772/9 + 7 = 835/9"], "final_answer": "835/9", "answer_type": "rational", "kind": "expression", "math_text": "(-766 - 6) / (-9) + 7", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -766, \"b\": 6, \"c\": -9, \"d\": 7}", "seed": "14088492540201635576", "semantic_fingerprint": "sha256:aa179978b872aee88d7060555368dcb45492bf99a0a21fdc2c8a2edc69bfc10f", "generator_version": "3.0"}
{"id": "v3_val_00003480", "prompt": "What value of x satisfies 11x + 53 = 2(x - 18) + 10?", "solution_steps": ["Expand: 11x + 53 = 2x - 36 + 10", "Combine constants: 11x + 53 = 2x - 26", "Subtract 2x from both sides: 9x + 53 = -26", "Subtract 53 from both sides: 9x = -79", "Divide both sides by 9: x = -79/9"], "final_answer": "-79/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x + 53 = 2(x - 18) + 10", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 53, \"c\": 2, \"d\": 18, \"e\": 10}", "seed": "428927637329338031", "semantic_fingerprint": "sha256:c597040f5176ba78c247b3b7bd97a27247fc7ca3ce83b9294096a3bc66999d16", "generator_version": "3.0"}
{"id": "v3_val_00003481", "prompt": "Find x: 6(x + 11) - 699 = -3(x - 2) - 756", "solution_steps": ["Expand: 6x + 66 - 699 = -3(x - 2) - 756", "Expand: 6x + 66 - 699 = -3x + 6 - 756", "Combine constants: 6x - 633 = -3x + 6 - 756", "Combine constants: 6x - 633 = -3x - 750", "Add 3x to both sides: 9x - 633 = -750", "Add 633 to both sides: 9x = -117", "Divide both sides by 9: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 11) - 699 = -3(x - 2) - 756", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 11, \"c\": 699, \"d\": -3, \"e\": 2, \"g\": -756, \"x\": -13}", "seed": "1598988980251224929", "semantic_fingerprint": "sha256:a02ccec347296e33bcdbb7a18479d9966de92b74a54c0f93b7afd589d9713f65", "generator_version": "3.0"}
{"id": "v3_val_00003482", "prompt": "Solve for x: -10(x - 5) + 8 = 10x - 952", "solution_steps": ["Expand: -10x + 50 + 8 = 10x - 952", "Combine constants: -10x + 58 = 10x - 952", "Subtract 10x from both sides: -20x + 58 = -952", "Subtract 58 from both sides: -20x = -1010", "Divide both sides by -20: x = 101/2"], "final_answer": "101/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 5) + 8 = 10x - 952", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"c\": 8, \"d\": 10, \"e\": 952}", "seed": "16406759746446171581", "semantic_fingerprint": "sha256:3e943c36bf36041239d54d6a92ceec91e1584d4d8a8afe0285f18874f8b7648a", "generator_version": "3.0"}
{"id": "v3_val_00003483", "prompt": "Solve for x: 8x + 7 = 11(x - 34) - 5", "solution_steps": ["Expand: 8x + 7 = 11x - 374 - 5", "Combine constants: 8x + 7 = 11x - 379", "Subtract 11x from both sides: -3x + 7 = -379", "Subtract 7 from both sides: -3x = -386", "Divide both sides by -3: x = 386/3"], "final_answer": "386/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x + 7 = 11(x - 34) - 5", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 11, \"d\": 34, \"e\": 5}", "seed": "1549488059236746878", "semantic_fingerprint": "sha256:9cc8d8ebdbec12a0cc7cc3787ae3b956a6d971df38d0ba69c816e84d93520e9b", "generator_version": "3.0"}
{"id": "v3_val_00003484", "prompt": "What is 23 * (0 / 674) - 331?", "solution_steps": ["Divide: 0 / 674 = 0", "Multiply: 23 * 0 = 0", "Subtract: 0 - 331 = -331"], "final_answer": "-331", "answer_type": "integer", "kind": "expression", "math_text": "23 * (0 / 674) - 331", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 0, \"c\": 674, \"d\": 331}", "seed": "9537970046362438159", "semantic_fingerprint": "sha256:2b55ac5b76ffeb3bb6ad0569e1dfe0a759528988eb9348686ce81152f2cda9da", "generator_version": "3.0"}
{"id": "v3_val_00003485", "prompt": "What value of x satisfies 4(x + 182) + 836 = x?", "solution_steps": ["Expand: 4x + 728 + 836 = x", "Combine constants: 4x + 1564 = x", "Subtract x from both sides: 3x + 1564 = 0", "Subtract 1564 from both sides: 3x = -1564", "Divide both sides by 3: x = -1564/3"], "final_answer": "-1564/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 182) + 836 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 182, \"c\": 836}", "seed": "13364139434863971350", "semantic_fingerprint": "sha256:50b2dcf026c4ad5fff0497f089a6482601f0e6b4f2bd72ca700eddbe886c7aed", "generator_version": "3.0"}
{"id": "v3_val_00003486", "prompt": "Find x: 7(x - 78) - 757 = -2(x + 602)", "solution_steps": ["Expand: 7x - 546 - 757 = -2(x + 602)", "Expand: 7x - 546 - 757 = -2x - 1204", "Combine constants: 7x - 1303 = -2x - 1204", "Add 2x to both sides: 9x - 1303 = -1204", "Add 1303 to both sides: 9x = 99", "Divide both sides by 9: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 78) - 757 = -2(x + 602)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 78, \"c\": -2, \"d\": 602, \"f\": -757, \"x\": 11}", "seed": "17709263847720653320", "semantic_fingerprint": "sha256:e14ea9df7c8452a882f9301f8220b5ca4dee9e5dfe71d9d4d578a7c303a62d0f", "generator_version": "3.0"}
{"id": "v3_val_00003487", "prompt": "Evaluate: 3 / (525 / 7) - (76 - (0 - (-17)))", "solution_steps": ["Divide: 525 / 7 = 75", "Divide: 3 / 75 = 1/25", "Subtract: 0 - (-17) = 17", "Subtract: 76 - 17 = 59", "Subtract: 1/25 - 59 = -1474/25"], "final_answer": "-1474/25", "answer_type": "rational", "kind": "expression", "math_text": "3 / (525 / 7) - (76 - (0 - (-17)))", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ n n)) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 525, \"c\": 7, \"d\": 76, \"e\": 0, \"f\": -17}", "seed": "8632816648958455696", "semantic_fingerprint": "sha256:d3a14fc92bcda73bdc2f3347c7ffe76a492b7d96b8d98b13ff143eb85c58ba60", "generator_version": "3.0"}
{"id": "v3_val_00003488", "prompt": "Compute: 2 * 12 / (-9 / (-110))", "solution_steps": ["Multiply: 2 * 12 = 24", "Divide: -9 / (-110) = 9/110", "Divide: 24 / (9/110) = 880/3"], "final_answer": "880/3", "answer_type": "rational", "kind": "expression", "math_text": "2 * 12 / (-9 / (-110))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 12, \"c\": -9, \"d\": -110}", "seed": "10016339674287565563", "semantic_fingerprint": "sha256:caecaf01efafdce0b852c70d00d3d82f13ebe7c8eca436434fb71dad3a62d59d", "generator_version": "3.0"}
{"id": "v3_val_00003489", "prompt": "Calculate: 76 / (81 * (-2 / (-20)))", "solution_steps": ["Divide: -2 / (-20) = 1/10", "Multiply: 81 * (1/10) = 81/10", "Divide: 76 / (81/10) = 760/81"], "final_answer": "760/81", "answer_type": "rational", "kind": "expression", "math_text": "76 / (81 * (-2 / (-20)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 81, \"c\": -2, \"d\": -20}", "seed": "15540744231872463103", "semantic_fingerprint": "sha256:30c5f2e043d4450d1ca82e581596f27f07944fad2fe5f2dc004cfea6ab037f8c", "generator_version": "3.0"}
{"id": "v3_val_00003490", "prompt": "Find x: 3x + 768 = -10x + 859", "solution_steps": ["Add 10x to both sides: 13x + 768 = 859", "Subtract 768 from both sides: 13x = 91", "Divide both sides by 13: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 768 = -10x + 859", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 768, \"c\": -10, \"e\": 859, \"x\": 7}", "seed": "10614752305903027984", "semantic_fingerprint": "sha256:18c310be6059aa4f148e8fe55ff6a597ba06af4be60d19b18ce085a57f92fa44", "generator_version": "3.0"}
{"id": "v3_val_00003491", "prompt": "What value of x satisfies -12x + 330 = 11(x - 1) + 502?", "solution_steps": ["Expand: -12x + 330 = 11x - 11 + 502", "Combine constants: -12x + 330 = 11x + 491", "Subtract 11x from both sides: -23x + 330 = 491", "Subtract 330 from both sides: -23x = 161", "Divide both sides by -23: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 330 = 11(x - 1) + 502", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 330, \"c\": 11, \"d\": 1, \"f\": 502, \"x\": -7}", "seed": "6728659258936722755", "semantic_fingerprint": "sha256:87c6d9ce19f18adf6ebb8e80a63ff8cdda3681a2d1da3c6cce9f3f390caf5c47", "generator_version": "3.0"}
{"id": "v3_val_00003492", "prompt": "Find x: 7(x - 5) - 62 = x - 169", "solution_steps": ["Expand: 7x - 35 - 62 = x - 169", "Combine constants: 7x - 97 = x - 169", "Subtract x from both sides: 6x - 97 = -169", "Add 97 to both sides: 6x = -72", "Divide both sides by 6: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 5) - 62 = x - 169", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 62, \"e\": -169, \"x\": -12}", "seed": "8164251579943974639", "semantic_fingerprint": "sha256:ee3ca31a8005f4808a9dc300767849daa73ac0170ac5e39880578d7bdb0af2d3", "generator_version": "3.0"}
{"id": "v3_val_00003493", "prompt": "What is (-57 - (765 + 822 - (-65))) * 13?", "solution_steps": ["Add: 765 + 822 = 1587", "Subtract: 1587 - (-65) = 1652", "Subtract: -57 - 1652 = -1709", "Multiply: -1709 * 13 = -22217"], "final_answer": "-22217", "answer_type": "integer", "kind": "expression", "math_text": "(-57 - (765 + 822 - (-65))) * 13", "variable": null, "family": "expression_4op", "shape": "(* (- n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 765, \"c\": 822, \"d\": -65, \"e\": 13}", "seed": "15552463621445320096", "semantic_fingerprint": "sha256:57f9563be1dd672d04af14ec07583e838926598943e056a07f82a277ebe43fa3", "generator_version": "3.0"}
{"id": "v3_val_00003494", "prompt": "Compute: -96 - 0 * (-9)", "solution_steps": ["Multiply: 0 * (-9) = 0", "Subtract: -96 - 0 = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "expression", "math_text": "-96 - 0 * (-9)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 0, \"c\": -9}", "seed": "12652237142790188215", "semantic_fingerprint": "sha256:a579f4b6345c60d2a690efd4c0e8596139d9dfc08da090377f914891bb74ad26", "generator_version": "3.0"}
{"id": "v3_val_00003495", "prompt": "What value of x satisfies 12(x + 84) + 84 = 4(x + 174) + 372?", "solution_steps": ["Expand: 12x + 1008 + 84 = 4(x + 174) + 372", "Expand: 12x + 1008 + 84 = 4x + 696 + 372", "Combine constants: 12x + 1092 = 4x + 696 + 372", "Combine constants: 12x + 1092 = 4x + 1068", "Subtract 4x from both sides: 8x + 1092 = 1068", "Subtract 1092 from both sides: 8x = -24", "Divide both sides by 8: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 84) + 84 = 4(x + 174) + 372", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 84, \"c\": 84, \"d\": 4, \"e\": 174, \"g\": 372, \"x\": -3}", "seed": "16059933823612700648", "semantic_fingerprint": "sha256:bcffd6abf57ce5bd0f7f15d6ce8adf3e55f2cae86f0e80c0471e5b6c5452612b", "generator_version": "3.0"}
{"id": "v3_val_00003496", "prompt": "Solve for x: x + 21 = 20", "solution_steps": ["Subtract 21 from both sides: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 21 = 20", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 21, \"c\": 20, \"x\": -1}", "seed": "430348245034089425", "semantic_fingerprint": "sha256:20910ee013359c3e7da07ead7e2a777658549639828eda87d8f1bc900f510087", "generator_version": "3.0"}
{"id": "v3_val_00003497", "prompt": "Compute: -96 - (315 / (-336 / (-2)) + (-725 + (-83)))", "solution_steps": ["Divide: -336 / (-2) = 168", "Divide: 315 / 168 = 15/8", "Add: -725 + (-83) = -808", "Add: 15/8 + (-808) = -6449/8", "Subtract: -96 - (-6449/8) = 5681/8"], "final_answer": "5681/8", "answer_type": "rational", "kind": "expression", "math_text": "-96 - (315 / (-336 / (-2)) + (-725 + (-83)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (/ n (/ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 315, \"c\": -336, \"d\": -2, \"e\": -725, \"f\": -83}", "seed": "906296665719326407", "semantic_fingerprint": "sha256:e3e9d353ac1f31ddbf1634e17172f9bef19f09e5778f9a8b6778a0cc64d3cc4c", "generator_version": "3.0"}
{"id": "v3_val_00003498", "prompt": "What is -9 + (0 - 2 - 47)?", "solution_steps": ["Subtract: 0 - 2 = -2", "Subtract: -2 - 47 = -49", "Add: -9 + (-49) = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (0 - 2 - 47)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 0, \"c\": 2, \"d\": 47}", "seed": "9205081345280795851", "semantic_fingerprint": "sha256:63516161d3627b94ad52624ebd83c51ac801bf3ca35553e17f132a1494a12d50", "generator_version": "3.0"}
{"id": "v3_val_00003499", "prompt": "Calculate: -87 + 799", "solution_steps": ["Add: -87 + 799 = 712"], "final_answer": "712", "answer_type": "integer", "kind": "expression", "math_text": "-87 + 799", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 799}", "seed": "2477105486802560802", "semantic_fingerprint": "sha256:1d74b784440bedd94fee0672d88450d18ef2ec13dd921203226e373a8da0d33e", "generator_version": "3.0"}
{"id": "v3_val_00003500", "prompt": "Evaluate: 45 / (-98) / (-1)", "solution_steps": ["Divide: 45 / (-98) = -45/98", "Divide: (-45/98) / (-1) = 45/98"], "final_answer": "45/98", "answer_type": "rational", "kind": "expression", "math_text": "45 / (-98) / (-1)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -98, \"c\": -1}", "seed": "3632910523037970779", "semantic_fingerprint": "sha256:35a37567b45f70f5f27760a994d86abc0f72e6da1ec63c3471b3d36670bbabee", "generator_version": "3.0"}
{"id": "v3_val_00003501", "prompt": "Evaluate: 6 * (-515) / 93", "solution_steps": ["Multiply: 6 * (-515) = -3090", "Divide: -3090 / 93 = -1030/31"], "final_answer": "-1030/31", "answer_type": "rational", "kind": "expression", "math_text": "6 * (-515) / 93", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -515, \"c\": 93}", "seed": "6594520150676667221", "semantic_fingerprint": "sha256:6f61a66c65fd037fb4cc189b053b1b7f677b9a191f08cdcba0edab148c35a35a", "generator_version": "3.0"}
{"id": "v3_val_00003502", "prompt": "What is 36 + 74 + 523?", "solution_steps": ["Add: 36 + 74 = 110", "Add: 110 + 523 = 633"], "final_answer": "633", "answer_type": "integer", "kind": "expression", "math_text": "36 + 74 + 523", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 74, \"c\": 523}", "seed": "10141807519882704457", "semantic_fingerprint": "sha256:4c0459970275f656d5dccc130fd2a5412e9c95502b0c03f253f8b3f9da2b0d66", "generator_version": "3.0"}
{"id": "v3_val_00003503", "prompt": "Compute: (-8 + (5 + (-94))) * (-810)", "solution_steps": ["Add: 5 + (-94) = -89", "Add: -8 + (-89) = -97", "Multiply: -97 * (-810) = 78570"], "final_answer": "78570", "answer_type": "integer", "kind": "expression", "math_text": "(-8 + (5 + (-94))) * (-810)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 5, \"c\": -94, \"d\": -810}", "seed": "13790821955913891999", "semantic_fingerprint": "sha256:8cd03724f4bb9f3248b73b91f4c71daaa5c1917365152071cf2a5f40e16bfb3c", "generator_version": "3.0"}
{"id": "v3_val_00003504", "prompt": "What is -13 + 7 + 9 - (106 + (-498) / 709)?", "solution_steps": ["Add: -13 + 7 = -6", "Add: -6 + 9 = 3", "Divide: -498 / 709 = -498/709", "Add: 106 + (-498/709) = 74656/709", "Subtract: 3 - 74656/709 = -72529/709"], "final_answer": "-72529/709", "answer_type": "rational", "kind": "expression", "math_text": "-13 + 7 + 9 - (106 + (-498) / 709)", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n n) n) (+ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 7, \"c\": 9, \"d\": 106, \"e\": -498, \"f\": 709}", "seed": "14236589472516310461", "semantic_fingerprint": "sha256:a0f2a71ed957a9cb0b6e1030dc42f1bb0f6db7667cb255b89d16dd87f8aa11ee", "generator_version": "3.0"}
{"id": "v3_val_00003505", "prompt": "Find x: 7x + 20 = 5x", "solution_steps": ["Subtract 5x from both sides: 2x + 20 = 0", "Subtract 20 from both sides: 2x = -20", "Divide both sides by 2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 20 = 5x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"d\": 20, \"x\": -10}", "seed": "14058394212740188128", "semantic_fingerprint": "sha256:cd3c4128d20ec5f50487b98b5725a8919e4b08fbdd3f0981f620c4a661d5e23c", "generator_version": "3.0"}
{"id": "v3_val_00003506", "prompt": "Compute: 17 / (-14) - 415", "solution_steps": ["Divide: 17 / (-14) = -17/14", "Subtract: -17/14 - 415 = -5827/14"], "final_answer": "-5827/14", "answer_type": "rational", "kind": "expression", "math_text": "17 / (-14) - 415", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -14, \"c\": 415}", "seed": "4585999592746657554", "semantic_fingerprint": "sha256:85bddeae69753dfba5d46919443b6a0f872a79a9fe2bc414cff8ebd9d11728c8", "generator_version": "3.0"}
{"id": "v3_val_00003507", "prompt": "Calculate: 785 - (-20)", "solution_steps": ["Subtract: 785 - (-20) = 805"], "final_answer": "805", "answer_type": "integer", "kind": "expression", "math_text": "785 - (-20)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 785, \"b\": -20}", "seed": "11667141874440896165", "semantic_fingerprint": "sha256:062bf938fac50770b43f56284f2c28ac7aef36d2e0436048898268d5f8c91da3", "generator_version": "3.0"}
{"id": "v3_val_00003508", "prompt": "Calculate: 26 * (-57) * 0", "solution_steps": ["Multiply: 26 * (-57) = -1482", "Multiply: -1482 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "26 * (-57) * 0", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -57, \"c\": 0}", "seed": "8508213936663122298", "semantic_fingerprint": "sha256:54cf8ecadca577c29efc9d6571ff8c43ac14f99c9a997fa2d90d1fc1a1f8c57b", "generator_version": "3.0"}
{"id": "v3_val_00003509", "prompt": "Solve the equation x - 69 = -82 for x.", "solution_steps": ["Add 69 to both sides: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 69 = -82", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 69, \"c\": -82, \"x\": -13}", "seed": "4762185744436525969", "semantic_fingerprint": "sha256:745b661abb5bdb0f06237115d7cc61e7847888bb4c96a688aae0b34d3cb64443", "generator_version": "3.0"}
{"id": "v3_val_00003510", "prompt": "Find x: -3(x + 2) + 79 = 6(x - 562) - 9", "solution_steps": ["Expand: -3x - 6 + 79 = 6(x - 562) - 9", "Expand: -3x - 6 + 79 = 6x - 3372 - 9", "Combine constants: -3x + 73 = 6x - 3372 - 9", "Combine constants: -3x + 73 = 6x - 3381", "Subtract 6x from both sides: -9x + 73 = -3381", "Subtract 73 from both sides: -9x = -3454", "Divide both sides by -9: x = 3454/9"], "final_answer": "3454/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 2) + 79 = 6(x - 562) - 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\": 2, \"c\": 79, \"d\": 6, \"e\": 562, \"f\": 9}", "seed": "16040019858026536932", "semantic_fingerprint": "sha256:55b9c80701f00d15e544776fca6e5e80b2de51529ae521458209d20f4d798aa0", "generator_version": "3.0"}
{"id": "v3_val_00003511", "prompt": "Calculate: -4 + (90 + 2)", "solution_steps": ["Add: 90 + 2 = 92", "Add: -4 + 92 = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (90 + 2)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 90, \"c\": 2}", "seed": "7622513842347236060", "semantic_fingerprint": "sha256:8cda7b669ae867a86805e6a2ec0b7ed18b8d675d6c66aaf1b8181983f0f73f09", "generator_version": "3.0"}
{"id": "v3_val_00003512", "prompt": "Evaluate: (42 - 12) * (-252)", "solution_steps": ["Subtract: 42 - 12 = 30", "Multiply: 30 * (-252) = -7560"], "final_answer": "-7560", "answer_type": "integer", "kind": "expression", "math_text": "(42 - 12) * (-252)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 12, \"c\": -252}", "seed": "3614288066956532437", "semantic_fingerprint": "sha256:28ead4749dff0552c963f8d9e25daf611eb24d481457dd02b18cc49046ad1b77", "generator_version": "3.0"}
{"id": "v3_val_00003513", "prompt": "Solve the equation -12x = x - 260 for x.", "solution_steps": ["Subtract x from both sides: -13x = -260", "Divide both sides by -13: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = x - 260", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"c\": -260, \"x\": 20}", "seed": "4720863378496345350", "semantic_fingerprint": "sha256:7238f0dbe09f73af97ff1235384689070ba501550f9c6bd3846ca568e607cfbf", "generator_version": "3.0"}
{"id": "v3_val_00003514", "prompt": "Solve the equation 2(x - 84) - 9 = -8(x + 82) + 4 for x.", "solution_steps": ["Expand: 2x - 168 - 9 = -8(x + 82) + 4", "Expand: 2x - 168 - 9 = -8x - 656 + 4", "Combine constants: 2x - 177 = -8x - 656 + 4", "Combine constants: 2x - 177 = -8x - 652", "Add 8x to both sides: 10x - 177 = -652", "Add 177 to both sides: 10x = -475", "Divide both sides by 10: x = -95/2"], "final_answer": "-95/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 84) - 9 = -8(x + 82) + 4", "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\": 9, \"d\": -8, \"e\": 82, \"f\": 4}", "seed": "2783557586505763910", "semantic_fingerprint": "sha256:5577ee12b8f3346688c3866f780bcc5f24bea4f1cf19652342b0c39c90292094", "generator_version": "3.0"}
{"id": "v3_val_00003515", "prompt": "Evaluate: 6 / (-725)", "solution_steps": ["Divide: 6 / (-725) = -6/725"], "final_answer": "-6/725", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-725)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -725}", "seed": "3975904155578875772", "semantic_fingerprint": "sha256:59883b027e036102dd4dcbdf931a219dad358cb73a4f17fe0903f78ef687b857", "generator_version": "3.0"}
{"id": "v3_val_00003516", "prompt": "Calculate: 0 * (-51)", "solution_steps": ["Multiply: 0 * (-51) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-51)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -51}", "seed": "4419568109969018632", "semantic_fingerprint": "sha256:7d12f24387b68b8cd42901e9610fbf2137465e5641326ce430634ce474efb72e", "generator_version": "3.0"}
{"id": "v3_val_00003517", "prompt": "Calculate: -8 * (-775 / 550) * 93", "solution_steps": ["Divide: -775 / 550 = -31/22", "Multiply: -8 * (-31/22) = 124/11", "Multiply: (124/11) * 93 = 11532/11"], "final_answer": "11532/11", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (-775 / 550) * 93", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -775, \"c\": 550, \"d\": 93}", "seed": "8933893358045493873", "semantic_fingerprint": "sha256:92ab16f2db2c366ee8c46257ebd8d32b13ff5e4a9404c9dbfd2fc707851bad5f", "generator_version": "3.0"}
{"id": "v3_val_00003518", "prompt": "Evaluate: (-80 - (-94)) * 83", "solution_steps": ["Subtract: -80 - (-94) = 14", "Multiply: 14 * 83 = 1162"], "final_answer": "1162", "answer_type": "integer", "kind": "expression", "math_text": "(-80 - (-94)) * 83", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -94, \"c\": 83}", "seed": "16458948233374996336", "semantic_fingerprint": "sha256:e8982f063688e6e05f958dc6027a773609830104841b15d9125d7583608236e6", "generator_version": "3.0"}
{"id": "v3_val_00003519", "prompt": "Evaluate: 0 - (-38) + (-112) / 406", "solution_steps": ["Subtract: 0 - (-38) = 38", "Divide: -112 / 406 = -8/29", "Add: 38 + (-8/29) = 1094/29"], "final_answer": "1094/29", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-38) + (-112) / 406", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -38, \"c\": -112, \"d\": 406}", "seed": "12493059253085063552", "semantic_fingerprint": "sha256:243ddadf2ca9d0ac80499ddf9500d2c978669e910d6758e92bbb0f51f150301a", "generator_version": "3.0"}
{"id": "v3_val_00003520", "prompt": "Find x: -10(x + 7) - 875 = -11x - 932", "solution_steps": ["Expand: -10x - 70 - 875 = -11x - 932", "Combine constants: -10x - 945 = -11x - 932", "Add 11x to both sides: x - 945 = -932", "Add 945 to both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 7) - 875 = -11x - 932", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 875, \"d\": -11, \"f\": -932, \"x\": 13}", "seed": "2706997126654052316", "semantic_fingerprint": "sha256:3df253a0ca9652c433e2837eae31a7d4df1c9ae73953016727aca6b67a0462d7", "generator_version": "3.0"}
{"id": "v3_val_00003521", "prompt": "What value of x satisfies 5x = -12(x - 1) + 260?", "solution_steps": ["Expand: 5x = -12x + 12 + 260", "Combine constants: 5x = -12x + 272", "Add 12x to both sides: 17x = 272", "Divide both sides by 17: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = -12(x - 1) + 260", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -12, \"c\": 1, \"e\": 260, \"x\": 16}", "seed": "2841134830929170245", "semantic_fingerprint": "sha256:698720eb054a354d9ed8055bf4674b133248c6a94164e4059c14a280cc6d96c8", "generator_version": "3.0"}
{"id": "v3_val_00003522", "prompt": "What value of x satisfies 11(x - 3) = x?", "solution_steps": ["Expand: 11x - 33 = x", "Subtract x from both sides: 10x - 33 = 0", "Add 33 to both sides: 10x = 33", "Divide both sides by 10: x = 33/10"], "final_answer": "33/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 3) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3}", "seed": "2754998937226021682", "semantic_fingerprint": "sha256:6a4cb1cafa6f920d020ad4733d65085ceb65d4025cbd5b59e80a0780bd1f8e7f", "generator_version": "3.0"}
{"id": "v3_val_00003523", "prompt": "Compute: (2 - (-40)) * 67", "solution_steps": ["Subtract: 2 - (-40) = 42", "Multiply: 42 * 67 = 2814"], "final_answer": "2814", "answer_type": "integer", "kind": "expression", "math_text": "(2 - (-40)) * 67", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -40, \"c\": 67}", "seed": "9693449975002038487", "semantic_fingerprint": "sha256:5d5d9b3731f26d38e3b5c954cf5f1adb32fb58a685511d7807a402542988ef89", "generator_version": "3.0"}
{"id": "v3_val_00003524", "prompt": "What is (-80 + 10) * 488 - (7 * (-21) - 7)?", "solution_steps": ["Add: -80 + 10 = -70", "Multiply: -70 * 488 = -34160", "Multiply: 7 * (-21) = -147", "Subtract: -147 - 7 = -154", "Subtract: -34160 - (-154) = -34006"], "final_answer": "-34006", "answer_type": "integer", "kind": "expression", "math_text": "(-80 + 10) * 488 - (7 * (-21) - 7)", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 10, \"c\": 488, \"d\": 7, \"e\": -21, \"f\": 7}", "seed": "8548324446250870880", "semantic_fingerprint": "sha256:3d8bb50d4b76be592fee223cb3d7de0a9c2a104b7e1f356f042d35d7496b7d01", "generator_version": "3.0"}
{"id": "v3_val_00003525", "prompt": "What is (85 - (-7)) * (-950)?", "solution_steps": ["Subtract: 85 - (-7) = 92", "Multiply: 92 * (-950) = -87400"], "final_answer": "-87400", "answer_type": "integer", "kind": "expression", "math_text": "(85 - (-7)) * (-950)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -7, \"c\": -950}", "seed": "1212969771262167701", "semantic_fingerprint": "sha256:fd96c048a2b96fd09342217b4148ba49e85eba4f542782a2b739b2bc4cd82b86", "generator_version": "3.0"}
{"id": "v3_val_00003526", "prompt": "Evaluate: 735 / (1 + (-6)) * (76 + (-7 + 180))", "solution_steps": ["Add: 1 + (-6) = -5", "Divide: 735 / (-5) = -147", "Add: -7 + 180 = 173", "Add: 76 + 173 = 249", "Multiply: -147 * 249 = -36603"], "final_answer": "-36603", "answer_type": "integer", "kind": "expression", "math_text": "735 / (1 + (-6)) * (76 + (-7 + 180))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 735, \"b\": 1, \"c\": -6, \"d\": 76, \"e\": -7, \"f\": 180}", "seed": "5159320049007872486", "semantic_fingerprint": "sha256:f86bb93e6399d7479b790e27e35c39c89b6702973559ab2ab689d2924507a6b8", "generator_version": "3.0"}
{"id": "v3_val_00003527", "prompt": "Evaluate: (44 - 392) / (-33 * (-8)) - (-8)", "solution_steps": ["Subtract: 44 - 392 = -348", "Multiply: -33 * (-8) = 264", "Divide: -348 / 264 = -29/22", "Subtract: -29/22 - (-8) = 147/22"], "final_answer": "147/22", "answer_type": "rational", "kind": "expression", "math_text": "(44 - 392) / (-33 * (-8)) - (-8)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 392, \"c\": -33, \"d\": -8, \"e\": -8}", "seed": "3754039821856882", "semantic_fingerprint": "sha256:7d1bcd5a8c7ed807149b17bdb50c867d5b48f2a93db1843093f7d94d209ac7bb", "generator_version": "3.0"}
{"id": "v3_val_00003528", "prompt": "Calculate: (-5 - (-6)) * (-948 - (-659))", "solution_steps": ["Subtract: -5 - (-6) = 1", "Subtract: -948 - (-659) = -289", "Multiply: 1 * (-289) = -289"], "final_answer": "-289", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - (-6)) * (-948 - (-659))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -6, \"c\": -948, \"d\": -659}", "seed": "14765796950593495239", "semantic_fingerprint": "sha256:1ef377ac1d05d5171e628bc5bc56e643b58739a3441287ad5e06556d8443836d", "generator_version": "3.0"}
{"id": "v3_val_00003529", "prompt": "Compute: 512 * 0 + (-63)", "solution_steps": ["Multiply: 512 * 0 = 0", "Add: 0 + (-63) = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "512 * 0 + (-63)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 512, \"b\": 0, \"c\": -63}", "seed": "5124792372906334692", "semantic_fingerprint": "sha256:744887d839427fd79464f6eabd346a7bc7a588f79486447559738ceedbd8c7d4", "generator_version": "3.0"}
{"id": "v3_val_00003530", "prompt": "Evaluate: (888 + (-1)) / 1 * (-7 + (-104))", "solution_steps": ["Add: 888 + (-1) = 887", "Divide: 887 / 1 = 887", "Add: -7 + (-104) = -111", "Multiply: 887 * (-111) = -98457"], "final_answer": "-98457", "answer_type": "integer", "kind": "expression", "math_text": "(888 + (-1)) / 1 * (-7 + (-104))", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 888, \"b\": -1, \"c\": 1, \"d\": -7, \"e\": -104}", "seed": "5406902179174389879", "semantic_fingerprint": "sha256:f4024dc922e81433cc1d8c842388c7eb0fcb93036d988d4edb464362b3a2cbd3", "generator_version": "3.0"}
{"id": "v3_val_00003531", "prompt": "What value of x satisfies x = 5x - 56?", "solution_steps": ["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 = 5x - 56", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": -56, \"x\": 14}", "seed": "14487606192693884748", "semantic_fingerprint": "sha256:d20219a85be47e1aa6c7b2c76bb4bf3a42af24434353ea1fa3ff371352a08976", "generator_version": "3.0"}
{"id": "v3_val_00003532", "prompt": "Calculate: (-220 - (-888 + (-61))) / (-78) / (-4)", "solution_steps": ["Add: -888 + (-61) = -949", "Subtract: -220 - (-949) = 729", "Divide: 729 / (-78) = -243/26", "Divide: (-243/26) / (-4) = 243/104"], "final_answer": "243/104", "answer_type": "rational", "kind": "expression", "math_text": "(-220 - (-888 + (-61))) / (-78) / (-4)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -220, \"b\": -888, \"c\": -61, \"d\": -78, \"e\": -4}", "seed": "11474400063415607794", "semantic_fingerprint": "sha256:5227e8c1cd82ed8d4116e734f26b74b182daf64a23c24fb2cfa4f42665f5ddd1", "generator_version": "3.0"}
{"id": "v3_val_00003533", "prompt": "Solve the equation x - 50 = 4(x + 7) - 111 for x.", "solution_steps": ["Expand: x - 50 = 4x + 28 - 111", "Combine constants: x - 50 = 4x - 83", "Subtract 4x from both sides: -3x - 50 = -83", "Add 50 to both sides: -3x = -33", "Divide both sides by -3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 50 = 4(x + 7) - 111", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 4, \"c\": 7, \"e\": -111, \"x\": 11}", "seed": "18307685633785147125", "semantic_fingerprint": "sha256:d55050f9ac0a445b198762e0a1d2ae6d2beba5ebd5358c40135e71cf6d9830ab", "generator_version": "3.0"}
{"id": "v3_val_00003534", "prompt": "Evaluate: 5 / 45 / (-545)", "solution_steps": ["Divide: 5 / 45 = 1/9", "Divide: (1/9) / (-545) = -1/4905"], "final_answer": "-1/4905", "answer_type": "rational", "kind": "expression", "math_text": "5 / 45 / (-545)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 45, \"c\": -545}", "seed": "1473346933975527839", "semantic_fingerprint": "sha256:143a548c84fa9d08e1d28642af71e74acd5c122d230f0060ff62a22f49e334e8", "generator_version": "3.0"}
{"id": "v3_val_00003535", "prompt": "Solve the equation 12(x - 2) - 834 = 632 for x.", "solution_steps": ["Expand: 12x - 24 - 834 = 632", "Combine constants: 12x - 858 = 632", "Add 858 to both sides: 12x = 1490", "Divide both sides by 12: x = 745/6"], "final_answer": "745/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 2) - 834 = 632", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 834, \"d\": 632}", "seed": "12367722774225299931", "semantic_fingerprint": "sha256:7de2cfe8f73f51c9b03cda48ca15a016d8527d25673e2033e1132fc9d4f87bef", "generator_version": "3.0"}
{"id": "v3_val_00003536", "prompt": "Find x: 3(x + 10) = -2(x - 5)", "solution_steps": ["Expand: 3x + 30 = -2(x - 5)", "Expand: 3x + 30 = -2x + 10", "Add 2x to both sides: 5x + 30 = 10", "Subtract 30 from both sides: 5x = -20", "Divide both sides by 5: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 10) = -2(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 10, \"c\": -2, \"d\": 5}", "seed": "15015515888662413216", "semantic_fingerprint": "sha256:d7b359b37ce96b5abb327e8358472e97fc1a956ef5f01a53916dae970e0e8b18", "generator_version": "3.0"}
{"id": "v3_val_00003537", "prompt": "What is 724 * (57 - (-1))?", "solution_steps": ["Subtract: 57 - (-1) = 58", "Multiply: 724 * 58 = 41992"], "final_answer": "41992", "answer_type": "integer", "kind": "expression", "math_text": "724 * (57 - (-1))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 724, \"b\": 57, \"c\": -1}", "seed": "8698906434663343901", "semantic_fingerprint": "sha256:25102869e015cb8148bac6a389721b2c4fc64a38874ff2739da8f9849ba3f0cc", "generator_version": "3.0"}
{"id": "v3_val_00003538", "prompt": "Solve the equation 12(x + 2) = x + 211 for x.", "solution_steps": ["Expand: 12x + 24 = x + 211", "Subtract x from both sides: 11x + 24 = 211", "Subtract 24 from both sides: 11x = 187", "Divide both sides by 11: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 2) = x + 211", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"d\": 211, \"x\": 17}", "seed": "4612901375493884455", "semantic_fingerprint": "sha256:0cc9569159af30db998b768ddec01a2eb7fb019fc5040de192a52c0b95007cab", "generator_version": "3.0"}
{"id": "v3_val_00003539", "prompt": "Compute: -89 + 924 - (-67)", "solution_steps": ["Add: -89 + 924 = 835", "Subtract: 835 - (-67) = 902"], "final_answer": "902", "answer_type": "integer", "kind": "expression", "math_text": "-89 + 924 - (-67)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 924, \"c\": -67}", "seed": "11918851395498997828", "semantic_fingerprint": "sha256:418a69f33d29d88504c6f90638c7bd6ab277d30aaf762db1efc1f1c90e9ce0e2", "generator_version": "3.0"}
{"id": "v3_val_00003540", "prompt": "Calculate: 72 - 1 / (-37 - 0)", "solution_steps": ["Subtract: -37 - 0 = -37", "Divide: 1 / (-37) = -1/37", "Subtract: 72 - (-1/37) = 2665/37"], "final_answer": "2665/37", "answer_type": "rational", "kind": "expression", "math_text": "72 - 1 / (-37 - 0)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 1, \"c\": -37, \"d\": 0}", "seed": "16874427767847532724", "semantic_fingerprint": "sha256:e368e9f2d4a67cd9fae5681bb9b49969e161b31eb78864553d51e63e4efc2f4a", "generator_version": "3.0"}
{"id": "v3_val_00003541", "prompt": "Evaluate: (24 - (-208 + (-96)) - 0 - (-971)) / (-28)", "solution_steps": ["Add: -208 + (-96) = -304", "Subtract: 24 - (-304) = 328", "Subtract: 328 - 0 = 328", "Subtract: 328 - (-971) = 1299", "Divide: 1299 / (-28) = -1299/28"], "final_answer": "-1299/28", "answer_type": "rational", "kind": "expression", "math_text": "(24 - (-208 + (-96)) - 0 - (-971)) / (-28)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (- n (+ n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -208, \"c\": -96, \"d\": 0, \"e\": -971, \"f\": -28}", "seed": "11111547834335364794", "semantic_fingerprint": "sha256:bd311732a27c4c257e7528b45abf4b8891fcfd18917db646a2cd2389485037d1", "generator_version": "3.0"}
{"id": "v3_val_00003542", "prompt": "Compute: -28 + (-1) * (-13)", "solution_steps": ["Multiply: -1 * (-13) = 13", "Add: -28 + 13 = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "-28 + (-1) * (-13)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -1, \"c\": -13}", "seed": "5775652918132077957", "semantic_fingerprint": "sha256:4dc61469b8dafa5f5004f4f36b44514887c6d45072ec3bfa7f01d8862984ece9", "generator_version": "3.0"}
{"id": "v3_val_00003543", "prompt": "Evaluate: -50 + (-402 - (-5))", "solution_steps": ["Subtract: -402 - (-5) = -397", "Add: -50 + (-397) = -447"], "final_answer": "-447", "answer_type": "integer", "kind": "expression", "math_text": "-50 + (-402 - (-5))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -402, \"c\": -5}", "seed": "17625173880583839994", "semantic_fingerprint": "sha256:d56fb576cfd78bc0f11c482653cca22ce48c8d1c056e749e1c2430febf773db5", "generator_version": "3.0"}
{"id": "v3_val_00003544", "prompt": "Evaluate: 1 + (98 - (-393))", "solution_steps": ["Subtract: 98 - (-393) = 491", "Add: 1 + 491 = 492"], "final_answer": "492", "answer_type": "integer", "kind": "expression", "math_text": "1 + (98 - (-393))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 98, \"c\": -393}", "seed": "12820791642998476232", "semantic_fingerprint": "sha256:fc82876e24de1ab2f4660f33e6f54cf43fb952aa95885e4dbfba781cc7560549", "generator_version": "3.0"}
{"id": "v3_val_00003545", "prompt": "What is (-981 - (-91)) * 253 * (1 / (-5 + 91))?", "solution_steps": ["Subtract: -981 - (-91) = -890", "Multiply: -890 * 253 = -225170", "Add: -5 + 91 = 86", "Divide: 1 / 86 = 1/86", "Multiply: -225170 * (1/86) = -112585/43"], "final_answer": "-112585/43", "answer_type": "rational", "kind": "expression", "math_text": "(-981 - (-91)) * 253 * (1 / (-5 + 91))", "variable": null, "family": "expression_5op", "shape": "(* (* (- n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -981, \"b\": -91, \"c\": 253, \"d\": 1, \"e\": -5, \"f\": 91}", "seed": "7586335018493938816", "semantic_fingerprint": "sha256:cd32cd9cb75d8f0e5308c6376617da6a4aaf437828f03d6f9bc3c1c860e8593f", "generator_version": "3.0"}
{"id": "v3_val_00003546", "prompt": "Compute: 47 - (-627 / (-35) + 75)", "solution_steps": ["Divide: -627 / (-35) = 627/35", "Add: 627/35 + 75 = 3252/35", "Subtract: 47 - 3252/35 = -1607/35"], "final_answer": "-1607/35", "answer_type": "rational", "kind": "expression", "math_text": "47 - (-627 / (-35) + 75)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -627, \"c\": -35, \"d\": 75}", "seed": "15460576800695253671", "semantic_fingerprint": "sha256:463ad6ef0ab3dfd881eeb2a20d5bae4a8183322a17ff7c3f00b4e01d525baa5d", "generator_version": "3.0"}
{"id": "v3_val_00003547", "prompt": "Evaluate: -667 * (-85) - 86", "solution_steps": ["Multiply: -667 * (-85) = 56695", "Subtract: 56695 - 86 = 56609"], "final_answer": "56609", "answer_type": "integer", "kind": "expression", "math_text": "-667 * (-85) - 86", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -667, \"b\": -85, \"c\": 86}", "seed": "11776697617122280847", "semantic_fingerprint": "sha256:94a3795f93ea6c8bb4dca05b4f2d5c7164d21d06d879789597859cf99ba40f50", "generator_version": "3.0"}
{"id": "v3_val_00003548", "prompt": "Compute: -7 + (7 + 90) * (60 * (-36) / 3)", "solution_steps": ["Add: 7 + 90 = 97", "Multiply: 60 * (-36) = -2160", "Divide: -2160 / 3 = -720", "Multiply: 97 * (-720) = -69840", "Add: -7 + (-69840) = -69847"], "final_answer": "-69847", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (7 + 90) * (60 * (-36) / 3)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (+ n n) (/ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": 90, \"d\": 60, \"e\": -36, \"f\": 3}", "seed": "3756761391827345840", "semantic_fingerprint": "sha256:504ce778b5f14f4c3f9ff7e96b452b069e15a96358b995b712468a70ff45ef7e", "generator_version": "3.0"}
{"id": "v3_val_00003549", "prompt": "Solve for x: x + 460 = 10x + 631", "solution_steps": ["Subtract 10x from both sides: -9x + 460 = 631", "Subtract 460 from both sides: -9x = 171", "Divide both sides by -9: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 460 = 10x + 631", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 460, \"b\": 10, \"d\": 631, \"x\": -19}", "seed": "5706676985030060335", "semantic_fingerprint": "sha256:ca5cbd64c6c9ed5dbcdaed823d0013952f548b27d9be7ccbd5d1fae3812e341a", "generator_version": "3.0"}
{"id": "v3_val_00003550", "prompt": "What is 71 / 7 + (-994) + (-7) / 84?", "solution_steps": ["Divide: 71 / 7 = 71/7", "Add: 71/7 + (-994) = -6887/7", "Divide: -7 / 84 = -1/12", "Add: -6887/7 + (-1/12) = -82651/84"], "final_answer": "-82651/84", "answer_type": "rational", "kind": "expression", "math_text": "71 / 7 + (-994) + (-7) / 84", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 7, \"c\": -994, \"d\": -7, \"e\": 84}", "seed": "783797377577787394", "semantic_fingerprint": "sha256:7ab6398765167365249cb0f3ad29ec6ed198c874766171ede54aaee7bfb06453", "generator_version": "3.0"}
{"id": "v3_val_00003551", "prompt": "What is 80 / 70 / (-471 + 5)?", "solution_steps": ["Divide: 80 / 70 = 8/7", "Add: -471 + 5 = -466", "Divide: (8/7) / (-466) = -4/1631"], "final_answer": "-4/1631", "answer_type": "rational", "kind": "expression", "math_text": "80 / 70 / (-471 + 5)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 70, \"c\": -471, \"d\": 5}", "seed": "14050237744229390604", "semantic_fingerprint": "sha256:fd1e9f1648c9cf5a32008d6adbe356cc29b20506cf2777439e2f5a66e970070a", "generator_version": "3.0"}
{"id": "v3_val_00003552", "prompt": "Evaluate: -324 / (-5 + (-29))", "solution_steps": ["Add: -5 + (-29) = -34", "Divide: -324 / (-34) = 162/17"], "final_answer": "162/17", "answer_type": "rational", "kind": "expression", "math_text": "-324 / (-5 + (-29))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -324, \"b\": -5, \"c\": -29}", "seed": "3625377333543743153", "semantic_fingerprint": "sha256:10eabfb677e21b883b6d9959373885489b5f6a81c3f5da7797eeb42326df42ff", "generator_version": "3.0"}
{"id": "v3_val_00003553", "prompt": "What is 675 * (-7) / (20 - (-28))?", "solution_steps": ["Multiply: 675 * (-7) = -4725", "Subtract: 20 - (-28) = 48", "Divide: -4725 / 48 = -1575/16"], "final_answer": "-1575/16", "answer_type": "rational", "kind": "expression", "math_text": "675 * (-7) / (20 - (-28))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 675, \"b\": -7, \"c\": 20, \"d\": -28}", "seed": "11943850735139144032", "semantic_fingerprint": "sha256:2dddb9cce1805116eff53592c496b29ce1551a9e306c831f1beeda6d92f3646d", "generator_version": "3.0"}
{"id": "v3_val_00003554", "prompt": "Find x: 6x = 114", "solution_steps": ["Divide both sides by 6: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 114", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": 114, \"x\": 19}", "seed": "6001881132621302566", "semantic_fingerprint": "sha256:52f8570919622703b48cb1b014ea81f529955ad9657aea276c352c53e3646a01", "generator_version": "3.0"}
{"id": "v3_val_00003555", "prompt": "What value of x satisfies 8x - 5 = 19?", "solution_steps": ["Add 5 to both sides: 8x = 24", "Divide both sides by 8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 5 = 19", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"d\": 19, \"x\": 3}", "seed": "12301139641815868557", "semantic_fingerprint": "sha256:b218cdf31ece378e72642dfbbf6a1b50908603325ac62adb9c4a4fb403d1d960", "generator_version": "3.0"}
{"id": "v3_val_00003556", "prompt": "What is -25 - (-1) * 568?", "solution_steps": ["Multiply: -1 * 568 = -568", "Subtract: -25 - (-568) = 543"], "final_answer": "543", "answer_type": "integer", "kind": "expression", "math_text": "-25 - (-1) * 568", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -1, \"c\": 568}", "seed": "17257145804292556585", "semantic_fingerprint": "sha256:17846c5e191add1dc6a8dceb558b284f5ae300a3e7694080168471ef6ef54f71", "generator_version": "3.0"}
{"id": "v3_val_00003557", "prompt": "What is -213 - (-597) / (-25)?", "solution_steps": ["Divide: -597 / (-25) = 597/25", "Subtract: -213 - 597/25 = -5922/25"], "final_answer": "-5922/25", "answer_type": "rational", "kind": "expression", "math_text": "-213 - (-597) / (-25)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -213, \"b\": -597, \"c\": -25}", "seed": "17459409930898742091", "semantic_fingerprint": "sha256:31ae2870979d87accae69a9d05cf9924439319d72e55640282616bbcce979fbc", "generator_version": "3.0"}
{"id": "v3_val_00003558", "prompt": "Calculate: (924 - (350 - (-1))) / (-8) * 1", "solution_steps": ["Subtract: 350 - (-1) = 351", "Subtract: 924 - 351 = 573", "Divide: 573 / (-8) = -573/8", "Multiply: (-573/8) * 1 = -573/8"], "final_answer": "-573/8", "answer_type": "rational", "kind": "expression", "math_text": "(924 - (350 - (-1))) / (-8) * 1", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 924, \"b\": 350, \"c\": -1, \"d\": -8, \"e\": 1}", "seed": "10216989043323550438", "semantic_fingerprint": "sha256:41035dc3b60e1edc608b83fab45e838cf58593665bde22cc22092a74ca40ba6d", "generator_version": "3.0"}
{"id": "v3_val_00003559", "prompt": "What value of x satisfies -12(x - 6) - 4 = -28?", "solution_steps": ["Expand: -12x + 72 - 4 = -28", "Combine constants: -12x + 68 = -28", "Subtract 68 from both sides: -12x = -96", "Divide both sides by -12: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 6) - 4 = -28", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 6, \"c\": 4, \"e\": -28, \"x\": 8}", "seed": "12119623387434608839", "semantic_fingerprint": "sha256:39d9c52ce7c92d3565ef27c9b25cae633261085e2a3765a7849609ae720981de", "generator_version": "3.0"}
{"id": "v3_val_00003560", "prompt": "Find x: -12(x + 892) = 2(x + 2)", "solution_steps": ["Expand: -12x - 10704 = 2(x + 2)", "Expand: -12x - 10704 = 2x + 4", "Subtract 2x from both sides: -14x - 10704 = 4", "Add 10704 to both sides: -14x = 10708", "Divide both sides by -14: x = -5354/7"], "final_answer": "-5354/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 892) = 2(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 892, \"c\": 2, \"d\": 2}", "seed": "10888297995220129197", "semantic_fingerprint": "sha256:d0b00e9e86f0eca6d16702c1e497fad6e54f37386115cf387a5e99821727a4b3", "generator_version": "3.0"}
{"id": "v3_val_00003561", "prompt": "What is -140 + (-1) + (26 - 98)?", "solution_steps": ["Add: -140 + (-1) = -141", "Subtract: 26 - 98 = -72", "Add: -141 + (-72) = -213"], "final_answer": "-213", "answer_type": "integer", "kind": "expression", "math_text": "-140 + (-1) + (26 - 98)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -140, \"b\": -1, \"c\": 26, \"d\": 98}", "seed": "14541978296811412991", "semantic_fingerprint": "sha256:3a0d967b7ffadd411eee7980326153036e9090d38277b243ef44db72ad46c90b", "generator_version": "3.0"}
{"id": "v3_val_00003562", "prompt": "Evaluate: (34 + (-20)) / 5 * (-3) * (-75 + (-4))", "solution_steps": ["Add: 34 + (-20) = 14", "Divide: 14 / 5 = 14/5", "Multiply: (14/5) * (-3) = -42/5", "Add: -75 + (-4) = -79", "Multiply: (-42/5) * (-79) = 3318/5"], "final_answer": "3318/5", "answer_type": "rational", "kind": "expression", "math_text": "(34 + (-20)) / 5 * (-3) * (-75 + (-4))", "variable": null, "family": "expression_5op", "shape": "(* (* (/ (+ n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -20, \"c\": 5, \"d\": -3, \"e\": -75, \"f\": -4}", "seed": "12487214576919064052", "semantic_fingerprint": "sha256:a138f5c69dbf86c16ff782de16c7d7661e7204aa991a19c466a04dc6389d9e61", "generator_version": "3.0"}
{"id": "v3_val_00003563", "prompt": "Evaluate: -73 + (-717 - 76)", "solution_steps": ["Subtract: -717 - 76 = -793", "Add: -73 + (-793) = -866"], "final_answer": "-866", "answer_type": "integer", "kind": "expression", "math_text": "-73 + (-717 - 76)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -717, \"c\": 76}", "seed": "7830663067286717948", "semantic_fingerprint": "sha256:57ae066a4c8927dcbb9621e8a876e1b88b274c54bd9f2c9f2b9dc85a8ba5745c", "generator_version": "3.0"}
{"id": "v3_val_00003564", "prompt": "What value of x satisfies -8x = 9x + 204?", "solution_steps": ["Subtract 9x from both sides: -17x = 204", "Divide both sides by -17: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x = 9x + 204", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"d\": 204, \"x\": -12}", "seed": "13909220525914193537", "semantic_fingerprint": "sha256:376f17cc9ade11684c10c2b2d179bcc0e16863a27f52e8dd74cfa712ce42628d", "generator_version": "3.0"}
{"id": "v3_val_00003565", "prompt": "Calculate: -197 + (49 + (-6)) - (73 - (-755) * (-505))", "solution_steps": ["Add: 49 + (-6) = 43", "Add: -197 + 43 = -154", "Multiply: -755 * (-505) = 381275", "Subtract: 73 - 381275 = -381202", "Subtract: -154 - (-381202) = 381048"], "final_answer": "381048", "answer_type": "integer", "kind": "expression", "math_text": "-197 + (49 + (-6)) - (73 - (-755) * (-505))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ n n)) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -197, \"b\": 49, \"c\": -6, \"d\": 73, \"e\": -755, \"f\": -505}", "seed": "4169452078272701217", "semantic_fingerprint": "sha256:9ced7291a4afef43bb71fd111d8c04393e728340ec2f6cb8f58eb4efd2b5b716", "generator_version": "3.0"}
{"id": "v3_val_00003566", "prompt": "Calculate: -417 * (91 / (-70))", "solution_steps": ["Divide: 91 / (-70) = -13/10", "Multiply: -417 * (-13/10) = 5421/10"], "final_answer": "5421/10", "answer_type": "rational", "kind": "expression", "math_text": "-417 * (91 / (-70))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -417, \"b\": 91, \"c\": -70}", "seed": "12598229225700029824", "semantic_fingerprint": "sha256:dbe144fd0eae8ffd9de52de2c5c40ba7c0d3f91dcc41ea67b103de76fe653424", "generator_version": "3.0"}
{"id": "v3_val_00003567", "prompt": "Compute: 24 - (0 + (-8) / 66) - (-9 + 75)", "solution_steps": ["Divide: -8 / 66 = -4/33", "Add: 0 + (-4/33) = -4/33", "Subtract: 24 - (-4/33) = 796/33", "Add: -9 + 75 = 66", "Subtract: 796/33 - 66 = -1382/33"], "final_answer": "-1382/33", "answer_type": "rational", "kind": "expression", "math_text": "24 - (0 + (-8) / 66) - (-9 + 75)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n (/ n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 0, \"c\": -8, \"d\": 66, \"e\": -9, \"f\": 75}", "seed": "2378901562919952815", "semantic_fingerprint": "sha256:87926f0df1982799eea305993a701279513312bd0fe5015fee721dde8981d9ed", "generator_version": "3.0"}
{"id": "v3_val_00003568", "prompt": "Solve the equation -6x - 76 = 3x + 50 for x.", "solution_steps": ["Subtract 3x from both sides: -9x - 76 = 50", "Add 76 to both sides: -9x = 126", "Divide both sides by -9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 76 = 3x + 50", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 76, \"c\": 3, \"e\": 50, \"x\": -14}", "seed": "16508142536556443591", "semantic_fingerprint": "sha256:0b3205ee0877d1a8e5865717167a798744e7debc039931505f40b163ef73e5e2", "generator_version": "3.0"}
{"id": "v3_val_00003569", "prompt": "Compute: (28 + (-5)) / (-69) * (-61 * (-10))", "solution_steps": ["Add: 28 + (-5) = 23", "Divide: 23 / (-69) = -1/3", "Multiply: -61 * (-10) = 610", "Multiply: (-1/3) * 610 = -610/3"], "final_answer": "-610/3", "answer_type": "rational", "kind": "expression", "math_text": "(28 + (-5)) / (-69) * (-61 * (-10))", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -5, \"c\": -69, \"d\": -61, \"e\": -10}", "seed": "301511608823785880", "semantic_fingerprint": "sha256:86011107a2b553279172a98378e1bdd35bcb3578ec6125fecf0126f4cf45e2f7", "generator_version": "3.0"}
{"id": "v3_val_00003570", "prompt": "What is 173 / 419 + (-373 - (-483) + (-84))?", "solution_steps": ["Divide: 173 / 419 = 173/419", "Subtract: -373 - (-483) = 110", "Add: 110 + (-84) = 26", "Add: 173/419 + 26 = 11067/419"], "final_answer": "11067/419", "answer_type": "rational", "kind": "expression", "math_text": "173 / 419 + (-373 - (-483) + (-84))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 173, \"b\": 419, \"c\": -373, \"d\": -483, \"e\": -84}", "seed": "9029258193375589429", "semantic_fingerprint": "sha256:6ff31d7537fcc4294ca8ec0a08284729733bf021c24e4402c8367a94972ef326", "generator_version": "3.0"}
{"id": "v3_val_00003571", "prompt": "Evaluate: 9 * 115 + (-23 + 97 * 1)", "solution_steps": ["Multiply: 9 * 115 = 1035", "Multiply: 97 * 1 = 97", "Add: -23 + 97 = 74", "Add: 1035 + 74 = 1109"], "final_answer": "1109", "answer_type": "integer", "kind": "expression", "math_text": "9 * 115 + (-23 + 97 * 1)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 115, \"c\": -23, \"d\": 97, \"e\": 1}", "seed": "17542224938084295841", "semantic_fingerprint": "sha256:5b7a0f8f31e3bfe44f52af50aebc2d2cebe357f9f19148c5573da1318c95ca56", "generator_version": "3.0"}
{"id": "v3_val_00003572", "prompt": "Solve the equation 6(x - 4) = 9(x + 482) for x.", "solution_steps": ["Expand: 6x - 24 = 9(x + 482)", "Expand: 6x - 24 = 9x + 4338", "Subtract 9x from both sides: -3x - 24 = 4338", "Add 24 to both sides: -3x = 4362", "Divide both sides by -3: x = -1454"], "final_answer": "-1454", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 4) = 9(x + 482)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 9, \"d\": 482}", "seed": "6837911666647673523", "semantic_fingerprint": "sha256:a29e0a17e14d49563a092d7e9045fffe26812b60e50b9b27e7262c63a71ed14f", "generator_version": "3.0"}
{"id": "v3_val_00003573", "prompt": "What value of x satisfies x - 1 = -21?", "solution_steps": ["Add 1 to both sides: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = -21", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"c\": -21, \"x\": -20}", "seed": "8592934541233204497", "semantic_fingerprint": "sha256:fc5e67daa64d61a9b0008d6d7d8107b173221ee560082f70425a4adbda217a71", "generator_version": "3.0"}
{"id": "v3_val_00003574", "prompt": "Calculate: -649 * (-618) / (2 - 70 - 623)", "solution_steps": ["Multiply: -649 * (-618) = 401082", "Subtract: 2 - 70 = -68", "Subtract: -68 - 623 = -691", "Divide: 401082 / (-691) = -401082/691"], "final_answer": "-401082/691", "answer_type": "rational", "kind": "expression", "math_text": "-649 * (-618) / (2 - 70 - 623)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -649, \"b\": -618, \"c\": 2, \"d\": 70, \"e\": 623}", "seed": "18424002509037578995", "semantic_fingerprint": "sha256:f94040ac1f48788719e33f3538e77294c1497d3bba1ed6b6bf49491b6562d168", "generator_version": "3.0"}
{"id": "v3_val_00003575", "prompt": "Evaluate: -88 - (-6) - 5 * (2 / 41)", "solution_steps": ["Subtract: -88 - (-6) = -82", "Divide: 2 / 41 = 2/41", "Multiply: 5 * (2/41) = 10/41", "Subtract: -82 - 10/41 = -3372/41"], "final_answer": "-3372/41", "answer_type": "rational", "kind": "expression", "math_text": "-88 - (-6) - 5 * (2 / 41)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -6, \"c\": 5, \"d\": 2, \"e\": 41}", "seed": "14041007625721890137", "semantic_fingerprint": "sha256:bba72eb8d3aae955dcb41acdceedecf7b803e4483798da0bb8f09bbd4800b694", "generator_version": "3.0"}
{"id": "v3_val_00003576", "prompt": "Solve for x: 7(x - 41) = -4(x - 158) - 43", "solution_steps": ["Expand: 7x - 287 = -4(x - 158) - 43", "Expand: 7x - 287 = -4x + 632 - 43", "Combine constants: 7x - 287 = -4x + 589", "Add 4x to both sides: 11x - 287 = 589", "Add 287 to both sides: 11x = 876", "Divide both sides by 11: x = 876/11"], "final_answer": "876/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 41) = -4(x - 158) - 43", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 41, \"c\": -4, \"d\": 158, \"e\": 43}", "seed": "10854776182084885", "semantic_fingerprint": "sha256:481cba4ff5dd1ae487c5a5aef6534fabe83619c703e2f73524f8e239280b92f3", "generator_version": "3.0"}
{"id": "v3_val_00003577", "prompt": "Evaluate: 599 * (-959)", "solution_steps": ["Multiply: 599 * (-959) = -574441"], "final_answer": "-574441", "answer_type": "integer", "kind": "expression", "math_text": "599 * (-959)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 599, \"b\": -959}", "seed": "5264284885346337882", "semantic_fingerprint": "sha256:0f3a5e00f2f99a6e8f12a6d543dd0b0b693acf545d3c7dd0bdd193ea31707af2", "generator_version": "3.0"}
{"id": "v3_val_00003578", "prompt": "What value of x satisfies x - 28 = -12(x + 77) - 48?", "solution_steps": ["Expand: x - 28 = -12x - 924 - 48", "Combine constants: x - 28 = -12x - 972", "Add 12x to both sides: 13x - 28 = -972", "Add 28 to both sides: 13x = -944", "Divide both sides by 13: x = -944/13"], "final_answer": "-944/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 28 = -12(x + 77) - 48", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -12, \"c\": 77, \"d\": 48}", "seed": "4798884338107529157", "semantic_fingerprint": "sha256:2df589ad3c77cf9eeca0b67ae6a11fc247d485e0dee0e9d58c22b71f7b2910f7", "generator_version": "3.0"}
{"id": "v3_val_00003579", "prompt": "Solve for x: x - 6 = 10x", "solution_steps": ["Subtract 10x from both sides: -9x - 6 = 0", "Add 6 to both sides: -9x = 6", "Divide both sides by -9: x = -2/3"], "final_answer": "-2/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6 = 10x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 10}", "seed": "10152973225317339771", "semantic_fingerprint": "sha256:f34a4f62d98f04c756b83326e0c9878531b1ddcbfa10d56b0f1bd9deb182401a", "generator_version": "3.0"}
{"id": "v3_val_00003580", "prompt": "Calculate: 7 / (-918)", "solution_steps": ["Divide: 7 / (-918) = -7/918"], "final_answer": "-7/918", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-918)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -918}", "seed": "18025668385999564131", "semantic_fingerprint": "sha256:a8f3ad539a795fe86d8eaceed74095b9b35cf2924d36905195fd571b0970bd4a", "generator_version": "3.0"}
{"id": "v3_val_00003581", "prompt": "What is 0 + (-3) / (-38)?", "solution_steps": ["Divide: -3 / (-38) = 3/38", "Add: 0 + 3/38 = 3/38"], "final_answer": "3/38", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-3) / (-38)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -3, \"c\": -38}", "seed": "1835009118227307210", "semantic_fingerprint": "sha256:a7c2bebce4cc811e09a13c31de2adc4bdb57761cf86314aa5fa67f50f527f963", "generator_version": "3.0"}
{"id": "v3_val_00003582", "prompt": "Evaluate: -6 * (-462 - (-215))", "solution_steps": ["Subtract: -462 - (-215) = -247", "Multiply: -6 * (-247) = 1482"], "final_answer": "1482", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-462 - (-215))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -462, \"c\": -215}", "seed": "4251503569993371776", "semantic_fingerprint": "sha256:ed2963d982ed8454cf1726fa2f01799de9b633fea4f79a12978a7cb6cf34fc7b", "generator_version": "3.0"}
{"id": "v3_val_00003583", "prompt": "What value of x satisfies 8(x - 32) = 10(x + 9) - 346?", "solution_steps": ["Expand: 8x - 256 = 10(x + 9) - 346", "Expand: 8x - 256 = 10x + 90 - 346", "Combine constants: 8x - 256 = 10x - 256", "Subtract 10x from both sides: -2x - 256 = -256", "Add 256 to both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 32) = 10(x + 9) - 346", "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\": 10, \"d\": 9, \"f\": -346, \"x\": 0}", "seed": "11775106523823472065", "semantic_fingerprint": "sha256:ae3902740514dadbb6b6b31d3eb7a7edc222b4ebba0732135311c188daf8ea59", "generator_version": "3.0"}
{"id": "v3_val_00003584", "prompt": "Solve the equation -8x = 2x + 150 for x.", "solution_steps": ["Subtract 2x from both sides: -10x = 150", "Divide both sides by -10: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x = 2x + 150", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2, \"d\": 150, \"x\": -15}", "seed": "8601079134322741235", "semantic_fingerprint": "sha256:94c30babebcf4fa1540b8b620a8515c13e8447e7665a073057c0408d76780358", "generator_version": "3.0"}
{"id": "v3_val_00003585", "prompt": "Evaluate: -87 + 85", "solution_steps": ["Add: -87 + 85 = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "-87 + 85", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 85}", "seed": "10597055380273320770", "semantic_fingerprint": "sha256:0b839e990a5ab0f2e23faad29a7db7c349fbed57063dd1ffdb478de9c1b89b82", "generator_version": "3.0"}
{"id": "v3_val_00003586", "prompt": "What value of x satisfies 5x + 77 = x + 125?", "solution_steps": ["Subtract x from both sides: 4x + 77 = 125", "Subtract 77 from both sides: 4x = 48", "Divide both sides by 4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 77 = x + 125", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 77, \"d\": 125, \"x\": 12}", "seed": "467284368151509270", "semantic_fingerprint": "sha256:1028e96bbd6a9aa0958544eba192344994e1430ba8c8ae2538baa81c33230c35", "generator_version": "3.0"}
{"id": "v3_val_00003587", "prompt": "Evaluate: -3 - 2 / 59", "solution_steps": ["Divide: 2 / 59 = 2/59", "Subtract: -3 - 2/59 = -179/59"], "final_answer": "-179/59", "answer_type": "rational", "kind": "expression", "math_text": "-3 - 2 / 59", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 59}", "seed": "15109301247322357174", "semantic_fingerprint": "sha256:aafd81602a24ecbfaf626da2c58d91529feddfdb7e88be884d759f8c5f3ec9d2", "generator_version": "3.0"}
{"id": "v3_val_00003588", "prompt": "Solve the equation -11(x - 97) = -8x for x.", "solution_steps": ["Expand: -11x + 1067 = -8x", "Add 8x to both sides: -3x + 1067 = 0", "Subtract 1067 from both sides: -3x = -1067", "Divide both sides by -3: x = 1067/3"], "final_answer": "1067/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 97) = -8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 97, \"c\": -8}", "seed": "2404492345496871795", "semantic_fingerprint": "sha256:e52e6db046c91bedd0fa91929cb124cf9d369c791584420e9d1db44376248c4a", "generator_version": "3.0"}
{"id": "v3_val_00003589", "prompt": "Evaluate: 432 * 86 / (-92)", "solution_steps": ["Multiply: 432 * 86 = 37152", "Divide: 37152 / (-92) = -9288/23"], "final_answer": "-9288/23", "answer_type": "rational", "kind": "expression", "math_text": "432 * 86 / (-92)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 432, \"b\": 86, \"c\": -92}", "seed": "7772090046931400028", "semantic_fingerprint": "sha256:3a069292f3a2ee295d338924394e7528d46aa7fa893b2c6a15db3d385204a3eb", "generator_version": "3.0"}
{"id": "v3_val_00003590", "prompt": "Calculate: 6 - (-5) - 9", "solution_steps": ["Subtract: 6 - (-5) = 11", "Subtract: 11 - 9 = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-5) - 9", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -5, \"c\": 9}", "seed": "10596412341812332091", "semantic_fingerprint": "sha256:8e877edcc10d14e36a6ee88bf25a80e7af7012588202c042f85b37c1e081afd9", "generator_version": "3.0"}
{"id": "v3_val_00003591", "prompt": "Calculate: (-365 - (41 - (-484))) * 1", "solution_steps": ["Subtract: 41 - (-484) = 525", "Subtract: -365 - 525 = -890", "Multiply: -890 * 1 = -890"], "final_answer": "-890", "answer_type": "integer", "kind": "expression", "math_text": "(-365 - (41 - (-484))) * 1", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -365, \"b\": 41, \"c\": -484, \"d\": 1}", "seed": "14439627904166396259", "semantic_fingerprint": "sha256:17bd86e62f87a25eeaad8244a74b60a5757d67e9ee9b84e5edfb8ca9f918bee4", "generator_version": "3.0"}
{"id": "v3_val_00003592", "prompt": "Compute: (-3 + 1) * (23 / 42)", "solution_steps": ["Add: -3 + 1 = -2", "Divide: 23 / 42 = 23/42", "Multiply: -2 * (23/42) = -23/21"], "final_answer": "-23/21", "answer_type": "rational", "kind": "expression", "math_text": "(-3 + 1) * (23 / 42)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": 23, \"d\": 42}", "seed": "17204275997359122619", "semantic_fingerprint": "sha256:0c7077b47b013af72b8ef9b18ec424dbbf2b79b24c1119be9c965482e3d4b256", "generator_version": "3.0"}
{"id": "v3_val_00003593", "prompt": "What value of x satisfies 7x = 3x - 52?", "solution_steps": ["Subtract 3x from both sides: 4x = -52", "Divide both sides by 4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 3x - 52", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"d\": -52, \"x\": -13}", "seed": "15734524009323095220", "semantic_fingerprint": "sha256:314d02eff573cd4f4f3101bc971dd1fce7a902456066ad5c2ea417aad194212c", "generator_version": "3.0"}
{"id": "v3_val_00003594", "prompt": "Evaluate: -15 + (-4) + (-5 + (-55))", "solution_steps": ["Add: -15 + (-4) = -19", "Add: -5 + (-55) = -60", "Add: -19 + (-60) = -79"], "final_answer": "-79", "answer_type": "integer", "kind": "expression", "math_text": "-15 + (-4) + (-5 + (-55))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -4, \"c\": -5, \"d\": -55}", "seed": "9262785210914107849", "semantic_fingerprint": "sha256:687fcd540655cdbc0802cb1b89753e5d26fa3b0498d8297a75bfbf95062051e2", "generator_version": "3.0"}
{"id": "v3_val_00003595", "prompt": "Evaluate: (-7 + (21 + 57)) * (-645)", "solution_steps": ["Add: 21 + 57 = 78", "Add: -7 + 78 = 71", "Multiply: 71 * (-645) = -45795"], "final_answer": "-45795", "answer_type": "integer", "kind": "expression", "math_text": "(-7 + (21 + 57)) * (-645)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 21, \"c\": 57, \"d\": -645}", "seed": "6518951231268681990", "semantic_fingerprint": "sha256:a0c2e6b6890bfb701e060e7e91e4bd4994f81b0cef66e7751a7bf84ec285a493", "generator_version": "3.0"}
{"id": "v3_val_00003596", "prompt": "What is -4 / 775?", "solution_steps": ["Divide: -4 / 775 = -4/775"], "final_answer": "-4/775", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 775", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 775}", "seed": "14635795842296324826", "semantic_fingerprint": "sha256:3c2b917183795faf57277fe0cc8664f34d5b92b1b20b5104f884f81012815702", "generator_version": "3.0"}
{"id": "v3_val_00003597", "prompt": "What value of x satisfies -8x + 63 = -3(x - 36)?", "solution_steps": ["Expand: -8x + 63 = -3x + 108", "Add 3x to both sides: -5x + 63 = 108", "Subtract 63 from both sides: -5x = 45", "Divide both sides by -5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 63 = -3(x - 36)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -3, \"c\": 36, \"e\": 63, \"x\": -9}", "seed": "12859973298655681668", "semantic_fingerprint": "sha256:648f3c2cb6eb5050cdac570c2123713ba2922d6ec54a2bf456b70ff798d3c220", "generator_version": "3.0"}
{"id": "v3_val_00003598", "prompt": "What is 236 * (59 * (-5)) / (-63)?", "solution_steps": ["Multiply: 59 * (-5) = -295", "Multiply: 236 * (-295) = -69620", "Divide: -69620 / (-63) = 69620/63"], "final_answer": "69620/63", "answer_type": "rational", "kind": "expression", "math_text": "236 * (59 * (-5)) / (-63)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 236, \"b\": 59, \"c\": -5, \"d\": -63}", "seed": "7849759966007284052", "semantic_fingerprint": "sha256:7feda75a389e064eb42b91ad671ee5c585a87b570b90ad78ded700bf03948c55", "generator_version": "3.0"}
{"id": "v3_val_00003599", "prompt": "What value of x satisfies 12(x - 27) = x - 313?", "solution_steps": ["Expand: 12x - 324 = x - 313", "Subtract x from both sides: 11x - 324 = -313", "Add 324 to both sides: 11x = 11", "Divide both sides by 11: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 27) = x - 313", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 27, \"d\": -313, \"x\": 1}", "seed": "6774488186459247828", "semantic_fingerprint": "sha256:b834e65c5e0d058b4a25841a61c4e2148decb0bb192e477fc58c3a7c17e7cf77", "generator_version": "3.0"}
{"id": "v3_val_00003600", "prompt": "What value of x satisfies 11(x - 8) - 909 = 9x?", "solution_steps": ["Expand: 11x - 88 - 909 = 9x", "Combine constants: 11x - 997 = 9x", "Subtract 9x from both sides: 2x - 997 = 0", "Add 997 to both sides: 2x = 997", "Divide both sides by 2: x = 997/2"], "final_answer": "997/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 8) - 909 = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 909, \"d\": 9}", "seed": "1304765874649741262", "semantic_fingerprint": "sha256:4e34e2ae5a4320f5a122ac0eb0525bd6eb7f751b66e172dc83e269a8dd026952", "generator_version": "3.0"}
{"id": "v3_val_00003601", "prompt": "Find x: 11x - 9 = x + 51", "solution_steps": ["Subtract x from both sides: 10x - 9 = 51", "Add 9 to both sides: 10x = 60", "Divide both sides by 10: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 9 = x + 51", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"d\": 51, \"x\": 6}", "seed": "255063230681027330", "semantic_fingerprint": "sha256:b5283b6372dd72f483885430c74bf46be8960f4359e058915a39b82a7cb6f500", "generator_version": "3.0"}
{"id": "v3_val_00003602", "prompt": "Find x: -5x + 27 = -10x - 58", "solution_steps": ["Add 10x to both sides: 5x + 27 = -58", "Subtract 27 from both sides: 5x = -85", "Divide both sides by 5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 27 = -10x - 58", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 27, \"c\": -10, \"e\": -58, \"x\": -17}", "seed": "14667028906513724803", "semantic_fingerprint": "sha256:bae62487bd0fe297a2097e44c8305d700fec75cbc6278f652ae046eef68637c8", "generator_version": "3.0"}
{"id": "v3_val_00003603", "prompt": "Compute: -6 - (-250)", "solution_steps": ["Subtract: -6 - (-250) = 244"], "final_answer": "244", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-250)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -250}", "seed": "2228097990317148799", "semantic_fingerprint": "sha256:d03e706e7edd2d6a14f80e9f3203c3423925c726382e83975dd60b98785ec684", "generator_version": "3.0"}
{"id": "v3_val_00003604", "prompt": "Solve for x: 4(x - 18) = -124", "solution_steps": ["Expand: 4x - 72 = -124", "Add 72 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 - 18) = -124", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 18, \"d\": -124, \"x\": -13}", "seed": "15708887293997415362", "semantic_fingerprint": "sha256:63b9ad21ff9f626ef6c3afe63737738c2a9ef955a9bac3718b6f3ad9ae037e92", "generator_version": "3.0"}
{"id": "v3_val_00003605", "prompt": "What value of x satisfies x = -8(x + 1) - 19?", "solution_steps": ["Expand: x = -8x - 8 - 19", "Combine constants: x = -8x - 27", "Add 8x to both sides: 9x = -27", "Divide both sides by 9: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -8(x + 1) - 19", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"d\": -19, \"x\": -3}", "seed": "10939207285883173373", "semantic_fingerprint": "sha256:732663fc64faa4622d4e7432c41f4860e350cd219346bb5785bbdee29f989287", "generator_version": "3.0"}
{"id": "v3_val_00003606", "prompt": "Compute: -20 + (-9) - (-9) - 4", "solution_steps": ["Add: -20 + (-9) = -29", "Subtract: -29 - (-9) = -20", "Subtract: -20 - 4 = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "expression", "math_text": "-20 + (-9) - (-9) - 4", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -9, \"c\": -9, \"d\": 4}", "seed": "835440645470266259", "semantic_fingerprint": "sha256:8eb14f04b25a2a6a99f0711d91249e6b5177e4384796c47ac078823390628a00", "generator_version": "3.0"}
{"id": "v3_val_00003607", "prompt": "Compute: 51 * 39", "solution_steps": ["Multiply: 51 * 39 = 1989"], "final_answer": "1989", "answer_type": "integer", "kind": "expression", "math_text": "51 * 39", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 39}", "seed": "1085080103121082908", "semantic_fingerprint": "sha256:8b735fae28da66c253fd201e22529362ef6de45f47479ed1ede96fe8503721f3", "generator_version": "3.0"}
{"id": "v3_val_00003608", "prompt": "What is (-8 + (-45)) * 112 / (170 - (-182))?", "solution_steps": ["Add: -8 + (-45) = -53", "Multiply: -53 * 112 = -5936", "Subtract: 170 - (-182) = 352", "Divide: -5936 / 352 = -371/22"], "final_answer": "-371/22", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (-45)) * 112 / (170 - (-182))", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -45, \"c\": 112, \"d\": 170, \"e\": -182}", "seed": "1116103312633186364", "semantic_fingerprint": "sha256:0656a1763550b7022e2f6186ff6ba3436741bc0d3cf352c1c6838b3c78ca2ba6", "generator_version": "3.0"}
{"id": "v3_val_00003609", "prompt": "Calculate: 10 / (23 * (-2 * (-24)))", "solution_steps": ["Multiply: -2 * (-24) = 48", "Multiply: 23 * 48 = 1104", "Divide: 10 / 1104 = 5/552"], "final_answer": "5/552", "answer_type": "rational", "kind": "expression", "math_text": "10 / (23 * (-2 * (-24)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 23, \"c\": -2, \"d\": -24}", "seed": "13579444965729343599", "semantic_fingerprint": "sha256:8a36f1ac918f4588951a8e3a3598083f65b15f39817a6f8c9c9903f3743d019a", "generator_version": "3.0"}
{"id": "v3_val_00003610", "prompt": "Evaluate: 52 * 3", "solution_steps": ["Multiply: 52 * 3 = 156"], "final_answer": "156", "answer_type": "integer", "kind": "expression", "math_text": "52 * 3", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 3}", "seed": "10278134021783950645", "semantic_fingerprint": "sha256:3d168a8d18baa657987f717966c61a684e0e7385f4a75b41fb5b962dc1d2dcae", "generator_version": "3.0"}
{"id": "v3_val_00003611", "prompt": "Compute: 487 / 14 + 90", "solution_steps": ["Divide: 487 / 14 = 487/14", "Add: 487/14 + 90 = 1747/14"], "final_answer": "1747/14", "answer_type": "rational", "kind": "expression", "math_text": "487 / 14 + 90", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 487, \"b\": 14, \"c\": 90}", "seed": "16174805494378748652", "semantic_fingerprint": "sha256:0510004c4981c6508d9551f553f5b8f266497a5369f1605b4c618c10ccee7ee7", "generator_version": "3.0"}
{"id": "v3_val_00003612", "prompt": "What is 793 * 855 - (-59) - (-9)?", "solution_steps": ["Multiply: 793 * 855 = 678015", "Subtract: 678015 - (-59) = 678074", "Subtract: 678074 - (-9) = 678083"], "final_answer": "678083", "answer_type": "integer", "kind": "expression", "math_text": "793 * 855 - (-59) - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 793, \"b\": 855, \"c\": -59, \"d\": -9}", "seed": "16519083832464752508", "semantic_fingerprint": "sha256:846547f2fa6472bd434c24b5b87d02800c1507def1bfa9d3751d960b2a63d053", "generator_version": "3.0"}
{"id": "v3_val_00003613", "prompt": "Calculate: -99 * 63 + (-3)", "solution_steps": ["Multiply: -99 * 63 = -6237", "Add: -6237 + (-3) = -6240"], "final_answer": "-6240", "answer_type": "integer", "kind": "expression", "math_text": "-99 * 63 + (-3)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 63, \"c\": -3}", "seed": "11078943421896165715", "semantic_fingerprint": "sha256:bcb6d9d526f274c30f0be609bc5b4c582203a6b83c16b8b8a15aa029d120545d", "generator_version": "3.0"}
{"id": "v3_val_00003614", "prompt": "What value of x satisfies 10(x - 3) = 4(x + 6) - 9?", "solution_steps": ["Expand: 10x - 30 = 4(x + 6) - 9", "Expand: 10x - 30 = 4x + 24 - 9", "Combine constants: 10x - 30 = 4x + 15", "Subtract 4x from both sides: 6x - 30 = 15", "Add 30 to both sides: 6x = 45", "Divide both sides by 6: x = 15/2"], "final_answer": "15/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 3) = 4(x + 6) - 9", "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\": 4, \"d\": 6, \"e\": 9}", "seed": "8041909351819083797", "semantic_fingerprint": "sha256:c62ebdf927479d54140d8e9d9b74307a2e04f81eba8ed4e7faff1faeb73f98d5", "generator_version": "3.0"}
{"id": "v3_val_00003615", "prompt": "Compute: -7 / 978", "solution_steps": ["Divide: -7 / 978 = -7/978"], "final_answer": "-7/978", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 978", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 978}", "seed": "3979163868344771030", "semantic_fingerprint": "sha256:82fb6011ec2273fa5c3434d15cce390307351a1fcfa5dbd649c22154ba5d7e28", "generator_version": "3.0"}
{"id": "v3_val_00003616", "prompt": "Calculate: 28 / (435 * (-2))", "solution_steps": ["Multiply: 435 * (-2) = -870", "Divide: 28 / (-870) = -14/435"], "final_answer": "-14/435", "answer_type": "rational", "kind": "expression", "math_text": "28 / (435 * (-2))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 435, \"c\": -2}", "seed": "5028885953061338562", "semantic_fingerprint": "sha256:da6809dec0c028727c6e0af4cafc59099415b595773f2309293dda30cbdac505", "generator_version": "3.0"}
{"id": "v3_val_00003617", "prompt": "Calculate: 1 + (6 - (-73)) - 605 + (411 - (-5))", "solution_steps": ["Subtract: 6 - (-73) = 79", "Add: 1 + 79 = 80", "Subtract: 80 - 605 = -525", "Subtract: 411 - (-5) = 416", "Add: -525 + 416 = -109"], "final_answer": "-109", "answer_type": "integer", "kind": "expression", "math_text": "1 + (6 - (-73)) - 605 + (411 - (-5))", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n (- n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 6, \"c\": -73, \"d\": 605, \"e\": 411, \"f\": -5}", "seed": "3049423385644470867", "semantic_fingerprint": "sha256:492be3da381d2711496e1eedadd00e33b1e6acd19991534b94ee4906e8dc3f73", "generator_version": "3.0"}
{"id": "v3_val_00003618", "prompt": "Compute: -910 * (362 + (-806))", "solution_steps": ["Add: 362 + (-806) = -444", "Multiply: -910 * (-444) = 404040"], "final_answer": "404040", "answer_type": "integer", "kind": "expression", "math_text": "-910 * (362 + (-806))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -910, \"b\": 362, \"c\": -806}", "seed": "3879993036076867440", "semantic_fingerprint": "sha256:37e1c88a717ae1685aba00f4b48d49a7fe026749de64e9bfb589f94ab3d9ace9", "generator_version": "3.0"}
{"id": "v3_val_00003619", "prompt": "Compute: -48 + (-26 + 42) + (-40)", "solution_steps": ["Add: -26 + 42 = 16", "Add: -48 + 16 = -32", "Add: -32 + (-40) = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "expression", "math_text": "-48 + (-26 + 42) + (-40)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -26, \"c\": 42, \"d\": -40}", "seed": "3077448269185995955", "semantic_fingerprint": "sha256:c3e1af90b5da77b17acb0d0d5e7ab8bd90545a412ac97b5c64fb2d499ad1efb4", "generator_version": "3.0"}
{"id": "v3_val_00003620", "prompt": "Compute: (-43 - 9) * 9", "solution_steps": ["Subtract: -43 - 9 = -52", "Multiply: -52 * 9 = -468"], "final_answer": "-468", "answer_type": "integer", "kind": "expression", "math_text": "(-43 - 9) * 9", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 9, \"c\": 9}", "seed": "9952551949640180239", "semantic_fingerprint": "sha256:6cc41e2cc38ba1c023f9968d881bee6a2ec69af5a67b017540402072b33bcace", "generator_version": "3.0"}
{"id": "v3_val_00003621", "prompt": "Solve for x: -3(x - 5) - 624 = -633", "solution_steps": ["Expand: -3x + 15 - 624 = -633", "Combine constants: -3x - 609 = -633", "Add 609 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 - 5) - 624 = -633", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 5, \"c\": 624, \"e\": -633, \"x\": 8}", "seed": "9979527149247570655", "semantic_fingerprint": "sha256:5aa5a1561eb8f2f7f7274a6d6565894d2452d4b4a96c9e70a155914a17ed9d8f", "generator_version": "3.0"}
{"id": "v3_val_00003622", "prompt": "What is -59 + 9?", "solution_steps": ["Add: -59 + 9 = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "expression", "math_text": "-59 + 9", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 9}", "seed": "7907702451008985364", "semantic_fingerprint": "sha256:a738ba5c482de20d496b4831fc718654a9b9393ed83568a5d10a15d7e55e8880", "generator_version": "3.0"}
{"id": "v3_val_00003623", "prompt": "Calculate: (-98 - (-497)) / (227 / 85)", "solution_steps": ["Subtract: -98 - (-497) = 399", "Divide: 227 / 85 = 227/85", "Divide: 399 / (227/85) = 33915/227"], "final_answer": "33915/227", "answer_type": "rational", "kind": "expression", "math_text": "(-98 - (-497)) / (227 / 85)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -497, \"c\": 227, \"d\": 85}", "seed": "13957044799581101666", "semantic_fingerprint": "sha256:ae9269e223cecb5a62fd2621d233a455f3490c440babf6be85bc558644681f65", "generator_version": "3.0"}
{"id": "v3_val_00003624", "prompt": "What value of x satisfies -12x + 55 = x + 120?", "solution_steps": ["Subtract x from both sides: -13x + 55 = 120", "Subtract 55 from both sides: -13x = 65", "Divide both sides by -13: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 55 = x + 120", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 55, \"d\": 120, \"x\": -5}", "seed": "4518127055409771480", "semantic_fingerprint": "sha256:a32dbb77c5ea34f099b4e7bc036896d40e0650ed6787f3b72d08a95daa0a2286", "generator_version": "3.0"}
{"id": "v3_val_00003625", "prompt": "What value of x satisfies x - 599 = 7(x - 6) - 443?", "solution_steps": ["Expand: x - 599 = 7x - 42 - 443", "Combine constants: x - 599 = 7x - 485", "Subtract 7x from both sides: -6x - 599 = -485", "Add 599 to both sides: -6x = 114", "Divide both sides by -6: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 599 = 7(x - 6) - 443", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 599, \"b\": 7, \"c\": 6, \"e\": -443, \"x\": -19}", "seed": "9415457789283079792", "semantic_fingerprint": "sha256:e187e85b2361dc8b55228d0091b5a7ead3d3ddf27ec5394ee09acf91f5e4f763", "generator_version": "3.0"}
{"id": "v3_val_00003626", "prompt": "What value of x satisfies x = -3x + 48?", "solution_steps": ["Add 3x to both sides: 4x = 48", "Divide both sides by 4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -3x + 48", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"c\": 48, \"x\": 12}", "seed": "1219198029086170986", "semantic_fingerprint": "sha256:1395f9ecfe7c66fcba2225fd6357609ba21499ad2f5b46fc71536c28e6431e7c", "generator_version": "3.0"}
{"id": "v3_val_00003627", "prompt": "What value of x satisfies 6(x + 5) = -9x - 150?", "solution_steps": ["Expand: 6x + 30 = -9x - 150", "Add 9x to both sides: 15x + 30 = -150", "Subtract 30 from both sides: 15x = -180", "Divide both sides by 15: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 5) = -9x - 150", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": -9, \"e\": -150, \"x\": -12}", "seed": "10958895989487331662", "semantic_fingerprint": "sha256:a0c270fa729fe1321c4742f0d44ea18e7ed54a7d1eaf9a55a11addc1044a986b", "generator_version": "3.0"}
{"id": "v3_val_00003628", "prompt": "Solve the equation -10x - 66 = x for x.", "solution_steps": ["Subtract x 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": "-10x - 66 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"c\": -66, \"x\": -6}", "seed": "11571961533541270583", "semantic_fingerprint": "sha256:01029dd39801ed1b3d744772b1ec487959c8133707584ee1c0a4322ab389ecf6", "generator_version": "3.0"}
{"id": "v3_val_00003629", "prompt": "Evaluate: (-605 - (2 + (-28))) * ((-88 - (-6)) / (-8))", "solution_steps": ["Add: 2 + (-28) = -26", "Subtract: -605 - (-26) = -579", "Subtract: -88 - (-6) = -82", "Divide: -82 / (-8) = 41/4", "Multiply: -579 * (41/4) = -23739/4"], "final_answer": "-23739/4", "answer_type": "rational", "kind": "expression", "math_text": "(-605 - (2 + (-28))) * ((-88 - (-6)) / (-8))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -605, \"b\": 2, \"c\": -28, \"d\": -88, \"e\": -6, \"f\": -8}", "seed": "2157470403004518716", "semantic_fingerprint": "sha256:03dcb50124cd383d9b4689b670b141410ad051ec5ac7d5a28a10f56f1bec0f70", "generator_version": "3.0"}
{"id": "v3_val_00003630", "prompt": "What is -7 + 75 + 2 * 3?", "solution_steps": ["Add: -7 + 75 = 68", "Multiply: 2 * 3 = 6", "Add: 68 + 6 = 74"], "final_answer": "74", "answer_type": "integer", "kind": "expression", "math_text": "-7 + 75 + 2 * 3", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 75, \"c\": 2, \"d\": 3}", "seed": "17312241784686478877", "semantic_fingerprint": "sha256:b573bbbaed413b8ac5b516c3761fb9eccbc71ad0f6f589b49835aad64ce0f7f9", "generator_version": "3.0"}
{"id": "v3_val_00003631", "prompt": "Find x: 2(x + 5) = 7x + 110", "solution_steps": ["Expand: 2x + 10 = 7x + 110", "Subtract 7x from both sides: -5x + 10 = 110", "Subtract 10 from both sides: -5x = 100", "Divide both sides by -5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 5) = 7x + 110", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 7, \"e\": 110, \"x\": -20}", "seed": "4956659325992303121", "semantic_fingerprint": "sha256:2ece09cd69460c9875d5ac371bda85093d10576818ea2c553fed39eee77326d5", "generator_version": "3.0"}
{"id": "v3_val_00003632", "prompt": "Compute: 113 * (-38) / (-980)", "solution_steps": ["Multiply: 113 * (-38) = -4294", "Divide: -4294 / (-980) = 2147/490"], "final_answer": "2147/490", "answer_type": "rational", "kind": "expression", "math_text": "113 * (-38) / (-980)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 113, \"b\": -38, \"c\": -980}", "seed": "17634374296680303796", "semantic_fingerprint": "sha256:713ddeb72421b82caf35c554088d349ecb4488ad04232a1c3fc6dc183ce812ca", "generator_version": "3.0"}
{"id": "v3_val_00003633", "prompt": "Evaluate: 130 + (-746 - 76 + (-8))", "solution_steps": ["Subtract: -746 - 76 = -822", "Add: -822 + (-8) = -830", "Add: 130 + (-830) = -700"], "final_answer": "-700", "answer_type": "integer", "kind": "expression", "math_text": "130 + (-746 - 76 + (-8))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 130, \"b\": -746, \"c\": 76, \"d\": -8}", "seed": "7438784170523432025", "semantic_fingerprint": "sha256:b2c1d429f3e9ba855df438d26810cd3713dce3ce03de80ca687878ce6191612a", "generator_version": "3.0"}
{"id": "v3_val_00003634", "prompt": "Evaluate: (-2 - 65) / 753 / (63 + (-54))", "solution_steps": ["Subtract: -2 - 65 = -67", "Divide: -67 / 753 = -67/753", "Add: 63 + (-54) = 9", "Divide: (-67/753) / 9 = -67/6777"], "final_answer": "-67/6777", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - 65) / 753 / (63 + (-54))", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 65, \"c\": 753, \"d\": 63, \"e\": -54}", "seed": "7478060260177286584", "semantic_fingerprint": "sha256:22fbb020db94a59c18a96015e797b880db0ffbb6035615fde871c59d764e7809", "generator_version": "3.0"}
{"id": "v3_val_00003635", "prompt": "Find x: -4(x + 34) = -12(x - 8)", "solution_steps": ["Expand: -4x - 136 = -12(x - 8)", "Expand: -4x - 136 = -12x + 96", "Add 12x to both sides: 8x - 136 = 96", "Add 136 to both sides: 8x = 232", "Divide both sides by 8: x = 29"], "final_answer": "29", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 34) = -12(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 34, \"c\": -12, \"d\": 8}", "seed": "7863163135731688006", "semantic_fingerprint": "sha256:e048e6f2279b2995bb3288bc36eef575b35cddcfc8ee5974570c2d5f693e441e", "generator_version": "3.0"}
{"id": "v3_val_00003636", "prompt": "Solve the equation x = 6(x - 44) for x.", "solution_steps": ["Expand: x = 6x - 264", "Subtract 6x from both sides: -5x = -264", "Divide both sides by -5: x = 264/5"], "final_answer": "264/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 6(x - 44)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 44}", "seed": "3097373482306738391", "semantic_fingerprint": "sha256:a9ac1674652515fc6c2215f953020f84a6bd20a161282990dcb654c338b06ab8", "generator_version": "3.0"}
{"id": "v3_val_00003637", "prompt": "Evaluate: 686 - (-4) / (-73)", "solution_steps": ["Divide: -4 / (-73) = 4/73", "Subtract: 686 - 4/73 = 50074/73"], "final_answer": "50074/73", "answer_type": "rational", "kind": "expression", "math_text": "686 - (-4) / (-73)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 686, \"b\": -4, \"c\": -73}", "seed": "2096342405528177158", "semantic_fingerprint": "sha256:664b37d92ba11b9f84f217928452f713e84701cb13df96c0e558c38265d461b6", "generator_version": "3.0"}
{"id": "v3_val_00003638", "prompt": "Evaluate: 84 / (-93) - (43 + 3) * (234 / 345)", "solution_steps": ["Divide: 84 / (-93) = -28/31", "Add: 43 + 3 = 46", "Divide: 234 / 345 = 78/115", "Multiply: 46 * (78/115) = 156/5", "Subtract: -28/31 - 156/5 = -4976/155"], "final_answer": "-4976/155", "answer_type": "rational", "kind": "expression", "math_text": "84 / (-93) - (43 + 3) * (234 / 345)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (* (+ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -93, \"c\": 43, \"d\": 3, \"e\": 234, \"f\": 345}", "seed": "5585647344662620793", "semantic_fingerprint": "sha256:9facea7125c3dc90944afc5aa583c35b695851e7fd110e469a45ece367984987", "generator_version": "3.0"}
{"id": "v3_val_00003639", "prompt": "Compute: 55 / (-271 + 22) * (-4)", "solution_steps": ["Add: -271 + 22 = -249", "Divide: 55 / (-249) = -55/249", "Multiply: (-55/249) * (-4) = 220/249"], "final_answer": "220/249", "answer_type": "rational", "kind": "expression", "math_text": "55 / (-271 + 22) * (-4)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -271, \"c\": 22, \"d\": -4}", "seed": "18356924158236782114", "semantic_fingerprint": "sha256:1070c81e886792e59d3e7ba7dead318f0cae66d5800cc36f9420d4dc8091bc50", "generator_version": "3.0"}
{"id": "v3_val_00003640", "prompt": "Compute: (-6 + 7) / ((-7 - 65) / (-90))", "solution_steps": ["Add: -6 + 7 = 1", "Subtract: -7 - 65 = -72", "Divide: -72 / (-90) = 4/5", "Divide: 1 / (4/5) = 5/4"], "final_answer": "5/4", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + 7) / ((-7 - 65) / (-90))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": -7, \"d\": 65, \"e\": -90}", "seed": "15136818585219849847", "semantic_fingerprint": "sha256:5fd9f8b6d06aa74ee8a4852ebac61f23bcf5be7ae67b9231de1a67c6e020b8be", "generator_version": "3.0"}
{"id": "v3_val_00003641", "prompt": "Solve for x: 4x + 45 = 5x + 8", "solution_steps": ["Subtract 5x from both sides: -x + 45 = 8", "Subtract 45 from both sides: -x = -37", "Divide both sides by -1: x = 37"], "final_answer": "37", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 45 = 5x + 8", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 45, \"c\": 5, \"d\": 8}", "seed": "13688718070006579269", "semantic_fingerprint": "sha256:209096a7ac4e08aa070c0210a024a8c8ded0f979947114a500157194bc5b7462", "generator_version": "3.0"}
{"id": "v3_val_00003642", "prompt": "Compute: -23 + 3", "solution_steps": ["Add: -23 + 3 = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "expression", "math_text": "-23 + 3", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 3}", "seed": "10543254658658180983", "semantic_fingerprint": "sha256:d07902ec5bcae26e8f81c051561955d69fa17239faac5b34065f5643a800a20f", "generator_version": "3.0"}
{"id": "v3_val_00003643", "prompt": "What is -26 * 72 - (-441) - (-4 + (-6 + (-867)))?", "solution_steps": ["Multiply: -26 * 72 = -1872", "Subtract: -1872 - (-441) = -1431", "Add: -6 + (-867) = -873", "Add: -4 + (-873) = -877", "Subtract: -1431 - (-877) = -554"], "final_answer": "-554", "answer_type": "integer", "kind": "expression", "math_text": "-26 * 72 - (-441) - (-4 + (-6 + (-867)))", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 72, \"c\": -441, \"d\": -4, \"e\": -6, \"f\": -867}", "seed": "16174869163025545129", "semantic_fingerprint": "sha256:a38a23c77ef7f1c5c7c00d118b4128a4856757a5a00460a8b165a713d7bb1ea3", "generator_version": "3.0"}
{"id": "v3_val_00003644", "prompt": "Solve the equation x + 63 = 71 for x.", "solution_steps": ["Subtract 63 from both sides: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 63 = 71", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 63, \"c\": 71, \"x\": 8}", "seed": "8694532226237092185", "semantic_fingerprint": "sha256:56b9b621b64d15c9ea1be30a6ea78651d733e3030678ca9170e04e50d43622a1", "generator_version": "3.0"}
{"id": "v3_val_00003645", "prompt": "What value of x satisfies 8(x - 60) + 879 = x + 33?", "solution_steps": ["Expand: 8x - 480 + 879 = x + 33", "Combine constants: 8x + 399 = x + 33", "Subtract x from both sides: 7x + 399 = 33", "Subtract 399 from both sides: 7x = -366", "Divide both sides by 7: x = -366/7"], "final_answer": "-366/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 60) + 879 = x + 33", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 60, \"c\": 879, \"d\": 33}", "seed": "18341761038521928107", "semantic_fingerprint": "sha256:a02b63489d7ebf46563e64fb53f0950341cfec95e861e770ccccd5e5a64b87a0", "generator_version": "3.0"}
{"id": "v3_val_00003646", "prompt": "Find x: 5(x - 6) = -90", "solution_steps": ["Expand: 5x - 30 = -90", "Add 30 to both sides: 5x = -60", "Divide both sides by 5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 6) = -90", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"d\": -90, \"x\": -12}", "seed": "13190437745244097140", "semantic_fingerprint": "sha256:e478437f369fb99c2897e775536eb1b6434d395cfe3836b76236cfef54eacb19", "generator_version": "3.0"}
{"id": "v3_val_00003647", "prompt": "Compute: 63 + (-14)", "solution_steps": ["Add: 63 + (-14) = 49"], "final_answer": "49", "answer_type": "integer", "kind": "expression", "math_text": "63 + (-14)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -14}", "seed": "12661293712801760455", "semantic_fingerprint": "sha256:ef956985c51c19771b017f7d92a25ba9eea05aebd066ee5a59ad52c2858d4004", "generator_version": "3.0"}
{"id": "v3_val_00003648", "prompt": "Compute: 3 / (-3 / 565)", "solution_steps": ["Divide: -3 / 565 = -3/565", "Divide: 3 / (-3/565) = -565"], "final_answer": "-565", "answer_type": "integer", "kind": "expression", "math_text": "3 / (-3 / 565)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -3, \"c\": 565}", "seed": "12495334828978694655", "semantic_fingerprint": "sha256:11e39ba852c642e2f3de6f57eac95bbdc47f20ad1e77a0e9c45da2bd8f9d3b37", "generator_version": "3.0"}
{"id": "v3_val_00003649", "prompt": "Find x: 11(x - 432) - 1 = -3x - 645", "solution_steps": ["Expand: 11x - 4752 - 1 = -3x - 645", "Combine constants: 11x - 4753 = -3x - 645", "Add 3x to both sides: 14x - 4753 = -645", "Add 4753 to both sides: 14x = 4108", "Divide both sides by 14: x = 2054/7"], "final_answer": "2054/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 432) - 1 = -3x - 645", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 432, \"c\": 1, \"d\": -3, \"e\": 645}", "seed": "3194662589145718467", "semantic_fingerprint": "sha256:610d0f56dc8972853200c7624fda06c134ab6a14ac6b15a00545b30b510405d0", "generator_version": "3.0"}
{"id": "v3_val_00003650", "prompt": "Calculate: -8 / 6 / 172", "solution_steps": ["Divide: -8 / 6 = -4/3", "Divide: (-4/3) / 172 = -1/129"], "final_answer": "-1/129", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 6 / 172", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"c\": 172}", "seed": "10978984113377390668", "semantic_fingerprint": "sha256:916be605a280193448364841bed15d339cb30c3085acb58b09371bc9f8853efe", "generator_version": "3.0"}
{"id": "v3_val_00003651", "prompt": "Calculate: -37 + (-73) / (-4 + (-2))", "solution_steps": ["Add: -4 + (-2) = -6", "Divide: -73 / (-6) = 73/6", "Add: -37 + 73/6 = -149/6"], "final_answer": "-149/6", "answer_type": "rational", "kind": "expression", "math_text": "-37 + (-73) / (-4 + (-2))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -73, \"c\": -4, \"d\": -2}", "seed": "3731876719977448066", "semantic_fingerprint": "sha256:ce5d7d7b3653f547c5f934a4711e3a66827b015df3f4199219c329f6ad1394ee", "generator_version": "3.0"}
{"id": "v3_val_00003652", "prompt": "Compute: 70 * (18 + (-84 + (-5)))", "solution_steps": ["Add: -84 + (-5) = -89", "Add: 18 + (-89) = -71", "Multiply: 70 * (-71) = -4970"], "final_answer": "-4970", "answer_type": "integer", "kind": "expression", "math_text": "70 * (18 + (-84 + (-5)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 18, \"c\": -84, \"d\": -5}", "seed": "8156515213919161934", "semantic_fingerprint": "sha256:98ebf1ec746aab038384268dbfa4ddb37ab8d43495eba09e576264b58408e294", "generator_version": "3.0"}
{"id": "v3_val_00003653", "prompt": "Calculate: 997 + (831 * (-2) + 82) / (-4)", "solution_steps": ["Multiply: 831 * (-2) = -1662", "Add: -1662 + 82 = -1580", "Divide: -1580 / (-4) = 395", "Add: 997 + 395 = 1392"], "final_answer": "1392", "answer_type": "integer", "kind": "expression", "math_text": "997 + (831 * (-2) + 82) / (-4)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (+ (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 997, \"b\": 831, \"c\": -2, \"d\": 82, \"e\": -4}", "seed": "13305139188334082124", "semantic_fingerprint": "sha256:0c226380570a29fbfb4f012c0bc88c03b0f7a72a0783c7a52c3eaaf38ce7e4dc", "generator_version": "3.0"}
{"id": "v3_val_00003654", "prompt": "Solve for x: 4(x + 27) = -9(x - 91) - 646", "solution_steps": ["Expand: 4x + 108 = -9(x - 91) - 646", "Expand: 4x + 108 = -9x + 819 - 646", "Combine constants: 4x + 108 = -9x + 173", "Add 9x to both sides: 13x + 108 = 173", "Subtract 108 from both sides: 13x = 65", "Divide both sides by 13: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 27) = -9(x - 91) - 646", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 27, \"c\": -9, \"d\": 91, \"f\": -646, \"x\": 5}", "seed": "41895660437522207", "semantic_fingerprint": "sha256:0d3c7db31c64ffeb66cbc767571f7e32f42b36e74cd5a5a646c1c35c19c2034d", "generator_version": "3.0"}
{"id": "v3_val_00003655", "prompt": "Calculate: -9 / (-8) + (-607 + 935)", "solution_steps": ["Divide: -9 / (-8) = 9/8", "Add: -607 + 935 = 328", "Add: 9/8 + 328 = 2633/8"], "final_answer": "2633/8", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-8) + (-607 + 935)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -8, \"c\": -607, \"d\": 935}", "seed": "3034665493363284873", "semantic_fingerprint": "sha256:3d5f5e59a47b2c16da566256c6e5288421a5d154baae04f6f8432171077c4f79", "generator_version": "3.0"}
{"id": "v3_val_00003656", "prompt": "Evaluate: (-7 + 72) * (-787)", "solution_steps": ["Add: -7 + 72 = 65", "Multiply: 65 * (-787) = -51155"], "final_answer": "-51155", "answer_type": "integer", "kind": "expression", "math_text": "(-7 + 72) * (-787)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 72, \"c\": -787}", "seed": "15078609728403212663", "semantic_fingerprint": "sha256:441365fddead089c0ef526bdd2fe22c3a9285c65f0319d6c81093e47d4e8d3ed", "generator_version": "3.0"}
{"id": "v3_val_00003657", "prompt": "Evaluate: 54 / 5 - (-2 + 0) + 550 * 5", "solution_steps": ["Divide: 54 / 5 = 54/5", "Add: -2 + 0 = -2", "Subtract: 54/5 - (-2) = 64/5", "Multiply: 550 * 5 = 2750", "Add: 64/5 + 2750 = 13814/5"], "final_answer": "13814/5", "answer_type": "rational", "kind": "expression", "math_text": "54 / 5 - (-2 + 0) + 550 * 5", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 5, \"c\": -2, \"d\": 0, \"e\": 550, \"f\": 5}", "seed": "14441287644905471696", "semantic_fingerprint": "sha256:eb657aeca86901355cf813f67a2574c9cab42aeb81b8240517122dc86178758a", "generator_version": "3.0"}
{"id": "v3_val_00003658", "prompt": "What is -482 + 5 - (41 + (56 + 1)) + (-41)?", "solution_steps": ["Add: -482 + 5 = -477", "Add: 56 + 1 = 57", "Add: 41 + 57 = 98", "Subtract: -477 - 98 = -575", "Add: -575 + (-41) = -616"], "final_answer": "-616", "answer_type": "integer", "kind": "expression", "math_text": "-482 + 5 - (41 + (56 + 1)) + (-41)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) (+ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -482, \"b\": 5, \"c\": 41, \"d\": 56, \"e\": 1, \"f\": -41}", "seed": "14422558214523645729", "semantic_fingerprint": "sha256:f10b1c420253a888af4f59b196c7dcb25f9aaff67d7254945f25fc2ebc9f0d6b", "generator_version": "3.0"}
{"id": "v3_val_00003659", "prompt": "Solve for x: 8x + 79 = -4(x - 2) + 71", "solution_steps": ["Expand: 8x + 79 = -4x + 8 + 71", "Combine constants: 8x + 79 = -4x + 79", "Add 4x to both sides: 12x + 79 = 79", "Subtract 79 from both sides: 12x = 0", "Divide both sides by 12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 79 = -4(x - 2) + 71", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 79, \"c\": -4, \"d\": 2, \"f\": 71, \"x\": 0}", "seed": "3725814211645699735", "semantic_fingerprint": "sha256:d1611bc2b6947ba8f8bbe77169393228af28b8a93ff1831b5717b935e44140e0", "generator_version": "3.0"}
{"id": "v3_val_00003660", "prompt": "Calculate: 6 / (589 - (-416)) + (-6)", "solution_steps": ["Subtract: 589 - (-416) = 1005", "Divide: 6 / 1005 = 2/335", "Add: 2/335 + (-6) = -2008/335"], "final_answer": "-2008/335", "answer_type": "rational", "kind": "expression", "math_text": "6 / (589 - (-416)) + (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 589, \"c\": -416, \"d\": -6}", "seed": "14623473585488423428", "semantic_fingerprint": "sha256:b402af6c8d7f5dbeaf916fec443498ce8c508d3d21df240d7feefa68ea5e9310", "generator_version": "3.0"}
{"id": "v3_val_00003661", "prompt": "Compute: -3 - (52 - (-381))", "solution_steps": ["Subtract: 52 - (-381) = 433", "Subtract: -3 - 433 = -436"], "final_answer": "-436", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (52 - (-381))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 52, \"c\": -381}", "seed": "8561183489804521309", "semantic_fingerprint": "sha256:62a9ebd73a6c6d728e9b1d4caadeb87709dc34164b8cb2572209673268182893", "generator_version": "3.0"}
{"id": "v3_val_00003662", "prompt": "Find x: 5(x - 68) = 7(x + 4) - 396", "solution_steps": ["Expand: 5x - 340 = 7(x + 4) - 396", "Expand: 5x - 340 = 7x + 28 - 396", "Combine constants: 5x - 340 = 7x - 368", "Subtract 7x from both sides: -2x - 340 = -368", "Add 340 to both sides: -2x = -28", "Divide both sides by -2: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 68) = 7(x + 4) - 396", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 68, \"c\": 7, \"d\": 4, \"f\": -396, \"x\": 14}", "seed": "9389042473697996898", "semantic_fingerprint": "sha256:e202c8a96b135dc2eecd772e7db3904934cc7d27e2fa614edcaa7c28c6e832a9", "generator_version": "3.0"}
{"id": "v3_val_00003663", "prompt": "Compute: -4 * 6 * (84 / (6 + (-217)))", "solution_steps": ["Multiply: -4 * 6 = -24", "Add: 6 + (-217) = -211", "Divide: 84 / (-211) = -84/211", "Multiply: -24 * (-84/211) = 2016/211"], "final_answer": "2016/211", "answer_type": "rational", "kind": "expression", "math_text": "-4 * 6 * (84 / (6 + (-217)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 84, \"d\": 6, \"e\": -217}", "seed": "5863469109485230632", "semantic_fingerprint": "sha256:c34433cd4512a14c1940bd679e82b4e6db083ca488e02e0f8788ae6d75313772", "generator_version": "3.0"}
{"id": "v3_val_00003664", "prompt": "Evaluate: 6 * 0 - (-19 + 74)", "solution_steps": ["Multiply: 6 * 0 = 0", "Add: -19 + 74 = 55", "Subtract: 0 - 55 = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "expression", "math_text": "6 * 0 - (-19 + 74)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 0, \"c\": -19, \"d\": 74}", "seed": "6390075277683151213", "semantic_fingerprint": "sha256:fc0cba55ebea0ea6fd567d7d5c25ac57e45dd1db9cfcdf814fccf20c5c4064e2", "generator_version": "3.0"}
{"id": "v3_val_00003665", "prompt": "Evaluate: 78 * (199 / 6 + (-6 - (-648))) / 70", "solution_steps": ["Divide: 199 / 6 = 199/6", "Subtract: -6 - (-648) = 642", "Add: 199/6 + 642 = 4051/6", "Multiply: 78 * (4051/6) = 52663", "Divide: 52663 / 70 = 52663/70"], "final_answer": "52663/70", "answer_type": "rational", "kind": "expression", "math_text": "78 * (199 / 6 + (-6 - (-648))) / 70", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ (/ n n) (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 199, \"c\": 6, \"d\": -6, \"e\": -648, \"f\": 70}", "seed": "1933620540744370038", "semantic_fingerprint": "sha256:1105a5a5c28e992eaa67ea714b306ee76bcf2bf0ed11f621170535f14781d155", "generator_version": "3.0"}
{"id": "v3_val_00003666", "prompt": "Evaluate: 592 + 44", "solution_steps": ["Add: 592 + 44 = 636"], "final_answer": "636", "answer_type": "integer", "kind": "expression", "math_text": "592 + 44", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 592, \"b\": 44}", "seed": "18088021230154123906", "semantic_fingerprint": "sha256:ee3c3a48377802893c3eefa0aa0b1effac59034368bf7d3dfe357c4812fd185a", "generator_version": "3.0"}
{"id": "v3_val_00003667", "prompt": "Compute: -26 - (-19 - 45) + 5", "solution_steps": ["Subtract: -19 - 45 = -64", "Subtract: -26 - (-64) = 38", "Add: 38 + 5 = 43"], "final_answer": "43", "answer_type": "integer", "kind": "expression", "math_text": "-26 - (-19 - 45) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -19, \"c\": 45, \"d\": 5}", "seed": "4980088279791864514", "semantic_fingerprint": "sha256:d7dfd85079910348a7150c38a40b678efb677ec1b4ea0651aa51e3b59b4331e6", "generator_version": "3.0"}
{"id": "v3_val_00003668", "prompt": "Calculate: 5 / (-10) * (-15)", "solution_steps": ["Divide: 5 / (-10) = -1/2", "Multiply: (-1/2) * (-15) = 15/2"], "final_answer": "15/2", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-10) * (-15)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -10, \"c\": -15}", "seed": "4558712878513648947", "semantic_fingerprint": "sha256:d187fcc1ec72da45f2910e6d18dd4e67e96c895cbbad5fac225f263449c14a37", "generator_version": "3.0"}
{"id": "v3_val_00003669", "prompt": "Calculate: 18 * (-132) / (-9) / (-4 - 90 / 35)", "solution_steps": ["Multiply: 18 * (-132) = -2376", "Divide: -2376 / (-9) = 264", "Divide: 90 / 35 = 18/7", "Subtract: -4 - 18/7 = -46/7", "Divide: 264 / (-46/7) = -924/23"], "final_answer": "-924/23", "answer_type": "rational", "kind": "expression", "math_text": "18 * (-132) / (-9) / (-4 - 90 / 35)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n n) n) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -132, \"c\": -9, \"d\": -4, \"e\": 90, \"f\": 35}", "seed": "8912954381597807756", "semantic_fingerprint": "sha256:1f70df6703379c27cec4a5d6f4a3d98d2fd93f43786c47082f888e16635beebe", "generator_version": "3.0"}
{"id": "v3_val_00003670", "prompt": "Evaluate: -74 - (-488) - (-9)", "solution_steps": ["Subtract: -74 - (-488) = 414", "Subtract: 414 - (-9) = 423"], "final_answer": "423", "answer_type": "integer", "kind": "expression", "math_text": "-74 - (-488) - (-9)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": -488, \"c\": -9}", "seed": "11780600699884628245", "semantic_fingerprint": "sha256:f9a44424e6d0c42f26e472dcaa79fa1ecaa5553924f36027a3f7dba41f6563cf", "generator_version": "3.0"}
{"id": "v3_val_00003671", "prompt": "Evaluate: (7 - (-101) + 55) / (-29)", "solution_steps": ["Subtract: 7 - (-101) = 108", "Add: 108 + 55 = 163", "Divide: 163 / (-29) = -163/29"], "final_answer": "-163/29", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (-101) + 55) / (-29)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -101, \"c\": 55, \"d\": -29}", "seed": "12019409778464463632", "semantic_fingerprint": "sha256:82c7fd3cc99d656802b6b724a62aa1e9b75896ae833258ec4209d341be00d1a1", "generator_version": "3.0"}
{"id": "v3_val_00003672", "prompt": "Compute: -70 * (-7 - (-7)) - (-9) * (-83)", "solution_steps": ["Subtract: -7 - (-7) = 0", "Multiply: -70 * 0 = 0", "Multiply: -9 * (-83) = 747", "Subtract: 0 - 747 = -747"], "final_answer": "-747", "answer_type": "integer", "kind": "expression", "math_text": "-70 * (-7 - (-7)) - (-9) * (-83)", "variable": null, "family": "expression_4op", "shape": "(- (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -7, \"c\": -7, \"d\": -9, \"e\": -83}", "seed": "111107392252953267", "semantic_fingerprint": "sha256:9f60d48457e21110d1cc1ec7d68f55159a3bb54b232960582b2a8a60e17f8303", "generator_version": "3.0"}
{"id": "v3_val_00003673", "prompt": "Calculate: 247 * (69 - 7 * (-65))", "solution_steps": ["Multiply: 7 * (-65) = -455", "Subtract: 69 - (-455) = 524", "Multiply: 247 * 524 = 129428"], "final_answer": "129428", "answer_type": "integer", "kind": "expression", "math_text": "247 * (69 - 7 * (-65))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 247, \"b\": 69, \"c\": 7, \"d\": -65}", "seed": "1561966871980595442", "semantic_fingerprint": "sha256:55b11a4f0f88203af46a05b24909fb0fa1c0a1337169d83ee764d7ebc32ce433", "generator_version": "3.0"}
{"id": "v3_val_00003674", "prompt": "Calculate: 40 - (-78)", "solution_steps": ["Subtract: 40 - (-78) = 118"], "final_answer": "118", "answer_type": "integer", "kind": "expression", "math_text": "40 - (-78)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -78}", "seed": "6880531403342755733", "semantic_fingerprint": "sha256:3770be67759443eb7f4990db321631d3ce8fce7677ecb74583968fdac04ba9e7", "generator_version": "3.0"}
{"id": "v3_val_00003675", "prompt": "What value of x satisfies x - 5 = -10(x - 44) - 500?", "solution_steps": ["Expand: x - 5 = -10x + 440 - 500", "Combine constants: x - 5 = -10x - 60", "Add 10x to both sides: 11x - 5 = -60", "Add 5 to both sides: 11x = -55", "Divide both sides by 11: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = -10(x - 44) - 500", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -10, \"c\": 44, \"e\": -500, \"x\": -5}", "seed": "16611734824788660398", "semantic_fingerprint": "sha256:dc032cd002115ef796add3c662df45f707968d5b026810e7c19cf58f5814b943", "generator_version": "3.0"}
{"id": "v3_val_00003676", "prompt": "Calculate: 410 - (-7) + (39 - 20 * 7)", "solution_steps": ["Subtract: 410 - (-7) = 417", "Multiply: 20 * 7 = 140", "Subtract: 39 - 140 = -101", "Add: 417 + (-101) = 316"], "final_answer": "316", "answer_type": "integer", "kind": "expression", "math_text": "410 - (-7) + (39 - 20 * 7)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 410, \"b\": -7, \"c\": 39, \"d\": 20, \"e\": 7}", "seed": "4795850854009085974", "semantic_fingerprint": "sha256:28d0cfbc255f121ab12bbca96fa938a34ba2e5e06130093505bd7b09059e91a8", "generator_version": "3.0"}
{"id": "v3_val_00003677", "prompt": "What value of x satisfies x + 750 = -12(x - 39) + 464?", "solution_steps": ["Expand: x + 750 = -12x + 468 + 464", "Combine constants: x + 750 = -12x + 932", "Add 12x to both sides: 13x + 750 = 932", "Subtract 750 from both sides: 13x = 182", "Divide both sides by 13: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 750 = -12(x - 39) + 464", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 750, \"b\": -12, \"c\": 39, \"e\": 464, \"x\": 14}", "seed": "4860515843853704227", "semantic_fingerprint": "sha256:bb2a49767166a4fd0d7fb9f5cdee2be46e3df895a51dc1adfe28edf77e8b1c20", "generator_version": "3.0"}
{"id": "v3_val_00003678", "prompt": "Solve the equation 2(x - 16) - 6 = 11(x + 3) for x.", "solution_steps": ["Expand: 2x - 32 - 6 = 11(x + 3)", "Expand: 2x - 32 - 6 = 11x + 33", "Combine constants: 2x - 38 = 11x + 33", "Subtract 11x from both sides: -9x - 38 = 33", "Add 38 to both sides: -9x = 71", "Divide both sides by -9: x = -71/9"], "final_answer": "-71/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 16) - 6 = 11(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 16, \"c\": 6, \"d\": 11, \"e\": 3}", "seed": "10874743519478636095", "semantic_fingerprint": "sha256:e6c12bc8deff4e6090cb181369958a16f8e6b80344b1481f0f681676dd7e0679", "generator_version": "3.0"}
{"id": "v3_val_00003679", "prompt": "Compute: -540 * (0 - 5 * (-31))", "solution_steps": ["Multiply: 5 * (-31) = -155", "Subtract: 0 - (-155) = 155", "Multiply: -540 * 155 = -83700"], "final_answer": "-83700", "answer_type": "integer", "kind": "expression", "math_text": "-540 * (0 - 5 * (-31))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -540, \"b\": 0, \"c\": 5, \"d\": -31}", "seed": "13596716500604690597", "semantic_fingerprint": "sha256:d4f5386ebaf18dc761c789858bf27a03a271fa75f847b21ee91c07fb177ff589", "generator_version": "3.0"}
{"id": "v3_val_00003680", "prompt": "Compute: 9 + (15 - (-65)) + (-4 + (-1))", "solution_steps": ["Subtract: 15 - (-65) = 80", "Add: 9 + 80 = 89", "Add: -4 + (-1) = -5", "Add: 89 + (-5) = 84"], "final_answer": "84", "answer_type": "integer", "kind": "expression", "math_text": "9 + (15 - (-65)) + (-4 + (-1))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 15, \"c\": -65, \"d\": -4, \"e\": -1}", "seed": "14290917973896094666", "semantic_fingerprint": "sha256:2de31984067c42a8f02b67f9072a59069322a6a5f635e68a171ffb4befaeeb2d", "generator_version": "3.0"}
{"id": "v3_val_00003681", "prompt": "Solve the equation 9(x - 168) = x for x.", "solution_steps": ["Expand: 9x - 1512 = x", "Subtract x from both sides: 8x - 1512 = 0", "Add 1512 to both sides: 8x = 1512", "Divide both sides by 8: x = 189"], "final_answer": "189", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 168) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 168}", "seed": "14853523099302753552", "semantic_fingerprint": "sha256:3bf245551108da67927a0d7ff2e2c7b6ca0aa1462300fd2c24a5618338eed177", "generator_version": "3.0"}
{"id": "v3_val_00003682", "prompt": "What value of x satisfies x = 9(x + 640)?", "solution_steps": ["Expand: x = 9x + 5760", "Subtract 9x from both sides: -8x = 5760", "Divide both sides by -8: x = -720"], "final_answer": "-720", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9(x + 640)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 640}", "seed": "13911971589487367544", "semantic_fingerprint": "sha256:df4b37913cef18bbe0d251e3fa466b2c80a0f18ccb7ace74573458d696b5ff98", "generator_version": "3.0"}
{"id": "v3_val_00003683", "prompt": "Calculate: (-50 - 0) / (-7)", "solution_steps": ["Subtract: -50 - 0 = -50", "Divide: -50 / (-7) = 50/7"], "final_answer": "50/7", "answer_type": "rational", "kind": "expression", "math_text": "(-50 - 0) / (-7)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 0, \"c\": -7}", "seed": "18291577675816923305", "semantic_fingerprint": "sha256:e70b964c30a36a5916fe72e8bd3dde5860454593daffd66dfde98147d5d893e8", "generator_version": "3.0"}
{"id": "v3_val_00003684", "prompt": "What value of x satisfies x - 82 = 6x - 37?", "solution_steps": ["Subtract 6x from both sides: -5x - 82 = -37", "Add 82 to both sides: -5x = 45", "Divide both sides by -5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 82 = 6x - 37", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 6, \"d\": -37, \"x\": -9}", "seed": "16315467537305424279", "semantic_fingerprint": "sha256:51ac4668c073ca1615329ff744d371c60f344dde897ab8739140a0f019170556", "generator_version": "3.0"}
{"id": "v3_val_00003685", "prompt": "What is (1 / (-31) + 83) * (10 - (-6 + (-70)))?", "solution_steps": ["Divide: 1 / (-31) = -1/31", "Add: -1/31 + 83 = 2572/31", "Add: -6 + (-70) = -76", "Subtract: 10 - (-76) = 86", "Multiply: (2572/31) * 86 = 221192/31"], "final_answer": "221192/31", "answer_type": "rational", "kind": "expression", "math_text": "(1 / (-31) + 83) * (10 - (-6 + (-70)))", "variable": null, "family": "expression_5op", "shape": "(* (+ (/ n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -31, \"c\": 83, \"d\": 10, \"e\": -6, \"f\": -70}", "seed": "9079775569209828986", "semantic_fingerprint": "sha256:21971fcb1382a78712a618126c20c86490e2a36213c11dad907e5c41f975a349", "generator_version": "3.0"}
{"id": "v3_val_00003686", "prompt": "Solve for x: x + 9 = 11(x + 16) + 9", "solution_steps": ["Expand: x + 9 = 11x + 176 + 9", "Combine constants: x + 9 = 11x + 185", "Subtract 11x from both sides: -10x + 9 = 185", "Subtract 9 from both sides: -10x = 176", "Divide both sides by -10: x = -88/5"], "final_answer": "-88/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9 = 11(x + 16) + 9", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": 16, \"d\": 9}", "seed": "17502010816076010664", "semantic_fingerprint": "sha256:389acca0d98d6d4e74251b1d1eda92d5645079134623d4870d3bc0df54cdd507", "generator_version": "3.0"}
{"id": "v3_val_00003687", "prompt": "What is 5 - (-808) - (-5)?", "solution_steps": ["Subtract: 5 - (-808) = 813", "Subtract: 813 - (-5) = 818"], "final_answer": "818", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-808) - (-5)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -808, \"c\": -5}", "seed": "11632185480840646865", "semantic_fingerprint": "sha256:dff883c4e8cbb88beb0457a6468b46635b615868d38582406443575162fd68dd", "generator_version": "3.0"}
{"id": "v3_val_00003688", "prompt": "Find x: x = -7(x + 80) + 600", "solution_steps": ["Expand: x = -7x - 560 + 600", "Combine constants: x = -7x + 40", "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 = -7(x + 80) + 600", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 80, \"d\": 600, \"x\": 5}", "seed": "16697792532142599349", "semantic_fingerprint": "sha256:4e05c211d0af9f523c59c7b25077299c66f0a7ddd13d373b1f3e88f98691625d", "generator_version": "3.0"}
{"id": "v3_val_00003689", "prompt": "Evaluate: 217 + (-8 - 2) * (770 / 312)", "solution_steps": ["Subtract: -8 - 2 = -10", "Divide: 770 / 312 = 385/156", "Multiply: -10 * (385/156) = -1925/78", "Add: 217 + (-1925/78) = 15001/78"], "final_answer": "15001/78", "answer_type": "rational", "kind": "expression", "math_text": "217 + (-8 - 2) * (770 / 312)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 217, \"b\": -8, \"c\": 2, \"d\": 770, \"e\": 312}", "seed": "16469127809868888676", "semantic_fingerprint": "sha256:49bea00f8555d175826b3ff515cab11dc63d4ac585a1e7e5d659e5635061a567", "generator_version": "3.0"}
{"id": "v3_val_00003690", "prompt": "Solve the equation 3x = -8x + 165 for x.", "solution_steps": ["Add 8x to both sides: 11x = 165", "Divide both sides by 11: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -8x + 165", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8, \"d\": 165, \"x\": 15}", "seed": "3669454004378105335", "semantic_fingerprint": "sha256:f7384d8f3c00ed73bb88aca96a65e98d18b1fc1ff63d5ed089a5676bfdd58c7f", "generator_version": "3.0"}
{"id": "v3_val_00003691", "prompt": "Compute: 840 * (-97 / (-18))", "solution_steps": ["Divide: -97 / (-18) = 97/18", "Multiply: 840 * (97/18) = 13580/3"], "final_answer": "13580/3", "answer_type": "rational", "kind": "expression", "math_text": "840 * (-97 / (-18))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 840, \"b\": -97, \"c\": -18}", "seed": "167580694072710774", "semantic_fingerprint": "sha256:eb353aeac3546d5f7f14f436610a11722587d86839770741cc9943a3111cdc89", "generator_version": "3.0"}
{"id": "v3_val_00003692", "prompt": "Evaluate: 58 - 12 + 7", "solution_steps": ["Subtract: 58 - 12 = 46", "Add: 46 + 7 = 53"], "final_answer": "53", "answer_type": "integer", "kind": "expression", "math_text": "58 - 12 + 7", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 12, \"c\": 7}", "seed": "3642931552720748808", "semantic_fingerprint": "sha256:b71178ac58f6022173e63264b31eab9160250a5655f35d520dadf2e7107a2d17", "generator_version": "3.0"}
{"id": "v3_val_00003693", "prompt": "What is -4 / (697 / 8)?", "solution_steps": ["Divide: 697 / 8 = 697/8", "Divide: -4 / (697/8) = -32/697"], "final_answer": "-32/697", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (697 / 8)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 697, \"c\": 8}", "seed": "592328727401391049", "semantic_fingerprint": "sha256:357e5509e79f39734d0955cae6a00ff9c3c15267caccf271e9c039f262b6d8d2", "generator_version": "3.0"}
{"id": "v3_val_00003694", "prompt": "Compute: 13 * (-16)", "solution_steps": ["Multiply: 13 * (-16) = -208"], "final_answer": "-208", "answer_type": "integer", "kind": "expression", "math_text": "13 * (-16)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -16}", "seed": "1311866304943323248", "semantic_fingerprint": "sha256:e397db73cc4ed38a10e2c29c16c6b106a784ac0faa560048d16138579b8b50fd", "generator_version": "3.0"}
{"id": "v3_val_00003695", "prompt": "Compute: 92 / (-65) * (-83)", "solution_steps": ["Divide: 92 / (-65) = -92/65", "Multiply: (-92/65) * (-83) = 7636/65"], "final_answer": "7636/65", "answer_type": "rational", "kind": "expression", "math_text": "92 / (-65) * (-83)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -65, \"c\": -83}", "seed": "231173439027204026", "semantic_fingerprint": "sha256:bd05838bff6d3adffa2306aeeb5366160f094a7c573147c37743a3149ba08e70", "generator_version": "3.0"}
{"id": "v3_val_00003696", "prompt": "Compute: (1 - 0) / (-663) + 3", "solution_steps": ["Subtract: 1 - 0 = 1", "Divide: 1 / (-663) = -1/663", "Add: -1/663 + 3 = 1988/663"], "final_answer": "1988/663", "answer_type": "rational", "kind": "expression", "math_text": "(1 - 0) / (-663) + 3", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": -663, \"d\": 3}", "seed": "4379427128340948170", "semantic_fingerprint": "sha256:9a600c459eff4d4f63d53a866b1bb59efc466c3e2e7ea107da7732af751f02ad", "generator_version": "3.0"}
{"id": "v3_val_00003697", "prompt": "What value of x satisfies 9(x - 2) - 9 = 61?", "solution_steps": ["Expand: 9x - 18 - 9 = 61", "Combine constants: 9x - 27 = 61", "Add 27 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": "9(x - 2) - 9 = 61", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 9, \"d\": 61}", "seed": "4508700460201419983", "semantic_fingerprint": "sha256:40605fd2bd12d67aaeed967fe9ec2ccd0309bd5e41ae1ba0c5c64c6e1e145045", "generator_version": "3.0"}
{"id": "v3_val_00003698", "prompt": "Solve the equation x + 33 = 4x + 57 for x.", "solution_steps": ["Subtract 4x from both sides: -3x + 33 = 57", "Subtract 33 from both sides: -3x = 24", "Divide both sides by -3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33 = 4x + 57", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 4, \"d\": 57, \"x\": -8}", "seed": "2819023777521078615", "semantic_fingerprint": "sha256:fe3f46c61d11ee86e0d3d7946ca732683c37ec65f1f9e2c9decc41c6888e4187", "generator_version": "3.0"}
{"id": "v3_val_00003699", "prompt": "What value of x satisfies x - 32 = 4(x - 17)?", "solution_steps": ["Expand: x - 32 = 4x - 68", "Subtract 4x from both sides: -3x - 32 = -68", "Add 32 to both sides: -3x = -36", "Divide both sides by -3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 32 = 4(x - 17)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 17, \"d\": -32, \"x\": 12}", "seed": "438991272759323020", "semantic_fingerprint": "sha256:35398b79a282e80b2643dd952532725bdd6191ff61cbce3aaddaa926d78b4259", "generator_version": "3.0"}
{"id": "v3_val_00003700", "prompt": "Find x: 12(x + 6) = 9(x + 22) - 61", "solution_steps": ["Expand: 12x + 72 = 9(x + 22) - 61", "Expand: 12x + 72 = 9x + 198 - 61", "Combine constants: 12x + 72 = 9x + 137", "Subtract 9x from both sides: 3x + 72 = 137", "Subtract 72 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": "12(x + 6) = 9(x + 22) - 61", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 9, \"d\": 22, \"e\": 61}", "seed": "12726161711450755173", "semantic_fingerprint": "sha256:3b073ed94b348108c5efd3b68ea0cb509b1926857b7398085c5c7d71129ab056", "generator_version": "3.0"}
{"id": "v3_val_00003701", "prompt": "What value of x satisfies x - 8 = 12x + 16?", "solution_steps": ["Subtract 12x from both sides: -11x - 8 = 16", "Add 8 to both sides: -11x = 24", "Divide both sides by -11: x = -24/11"], "final_answer": "-24/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8 = 12x + 16", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 16}", "seed": "17510682993230556916", "semantic_fingerprint": "sha256:c9c488aad634187592b8c7c47f612e97d2cb3adf3f44ee36142f7496a37d9253", "generator_version": "3.0"}
{"id": "v3_val_00003702", "prompt": "What value of x satisfies -12x = x + 208?", "solution_steps": ["Subtract x from both sides: -13x = 208", "Divide both sides by -13: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = x + 208", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"c\": 208, \"x\": -16}", "seed": "15417264969848932111", "semantic_fingerprint": "sha256:af746b972fe4096ec3f93c347d4f1db3908d7d62f8a0fac27d5a4bd0bcbab032", "generator_version": "3.0"}
{"id": "v3_val_00003703", "prompt": "Evaluate: -850 - (-1) - (-7 - 87 - (-79 + (-45)))", "solution_steps": ["Subtract: -850 - (-1) = -849", "Subtract: -7 - 87 = -94", "Add: -79 + (-45) = -124", "Subtract: -94 - (-124) = 30", "Subtract: -849 - 30 = -879"], "final_answer": "-879", "answer_type": "integer", "kind": "expression", "math_text": "-850 - (-1) - (-7 - 87 - (-79 + (-45)))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (- (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -850, \"b\": -1, \"c\": -7, \"d\": 87, \"e\": -79, \"f\": -45}", "seed": "13436812804519917469", "semantic_fingerprint": "sha256:52ebf541e731e84a5288f1573434f078c2bf5ad47929ff07974d495c8d9544ee", "generator_version": "3.0"}
{"id": "v3_val_00003704", "prompt": "Solve the equation 5(x + 22) - 65 = 7(x + 3) for x.", "solution_steps": ["Expand: 5x + 110 - 65 = 7(x + 3)", "Expand: 5x + 110 - 65 = 7x + 21", "Combine constants: 5x + 45 = 7x + 21", "Subtract 7x from both sides: -2x + 45 = 21", "Subtract 45 from both sides: -2x = -24", "Divide both sides by -2: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 22) - 65 = 7(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 22, \"c\": 7, \"d\": 3, \"f\": -65, \"x\": 12}", "seed": "1750790125082024233", "semantic_fingerprint": "sha256:e253521934c9c26012bba91799b4df49306098f7f2c72420f5489c7f35b49467", "generator_version": "3.0"}
{"id": "v3_val_00003705", "prompt": "Evaluate: -18 * 387 - (-756 + 96 * (-9) * 22)", "solution_steps": ["Multiply: -18 * 387 = -6966", "Multiply: 96 * (-9) = -864", "Multiply: -864 * 22 = -19008", "Add: -756 + (-19008) = -19764", "Subtract: -6966 - (-19764) = 12798"], "final_answer": "12798", "answer_type": "integer", "kind": "expression", "math_text": "-18 * 387 - (-756 + 96 * (-9) * 22)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (+ n (* (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 387, \"c\": -756, \"d\": 96, \"e\": -9, \"f\": 22}", "seed": "10250245756385713456", "semantic_fingerprint": "sha256:11142651983f4d7dc2af35671784a590a0c9436285e3a725bb95fbf0b9cfd959", "generator_version": "3.0"}
{"id": "v3_val_00003706", "prompt": "Evaluate: -78 / (-52) - (-88 + (-21 / (-8) + 82))", "solution_steps": ["Divide: -78 / (-52) = 3/2", "Divide: -21 / (-8) = 21/8", "Add: 21/8 + 82 = 677/8", "Add: -88 + 677/8 = -27/8", "Subtract: 3/2 - (-27/8) = 39/8"], "final_answer": "39/8", "answer_type": "rational", "kind": "expression", "math_text": "-78 / (-52) - (-88 + (-21 / (-8) + 82))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ n (+ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -52, \"c\": -88, \"d\": -21, \"e\": -8, \"f\": 82}", "seed": "3966754231912584494", "semantic_fingerprint": "sha256:d632887c388fa39ac3cdc6497bd26734f326075881510cf9bffe1d3d2d9dd2bd", "generator_version": "3.0"}
{"id": "v3_val_00003707", "prompt": "What value of x satisfies -3(x + 8) = -12(x - 17) - 381?", "solution_steps": ["Expand: -3x - 24 = -12(x - 17) - 381", "Expand: -3x - 24 = -12x + 204 - 381", "Combine constants: -3x - 24 = -12x - 177", "Add 12x to both sides: 9x - 24 = -177", "Add 24 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 + 8) = -12(x - 17) - 381", "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\": -12, \"d\": 17, \"f\": -381, \"x\": -17}", "seed": "5697786343137159728", "semantic_fingerprint": "sha256:2afa50b90d780c2a7654c896870d1edb7725e4d6af637c07c905d20955737850", "generator_version": "3.0"}
{"id": "v3_val_00003708", "prompt": "Find x: 11x - 731 = -6(x + 762)", "solution_steps": ["Expand: 11x - 731 = -6x - 4572", "Add 6x to both sides: 17x - 731 = -4572", "Add 731 to both sides: 17x = -3841", "Divide both sides by 17: x = -3841/17"], "final_answer": "-3841/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 731 = -6(x + 762)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 731, \"c\": -6, \"d\": 762}", "seed": "14619161252462812347", "semantic_fingerprint": "sha256:10d9584dff66407ab7b9371277fc1ab68bd049d0ee062d82a3865df37aa652ec", "generator_version": "3.0"}
{"id": "v3_val_00003709", "prompt": "Compute: -5 * (-92) / (-80 / (-6))", "solution_steps": ["Multiply: -5 * (-92) = 460", "Divide: -80 / (-6) = 40/3", "Divide: 460 / (40/3) = 69/2"], "final_answer": "69/2", "answer_type": "rational", "kind": "expression", "math_text": "-5 * (-92) / (-80 / (-6))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -92, \"c\": -80, \"d\": -6}", "seed": "1506206934260274883", "semantic_fingerprint": "sha256:42ed70dca0a54ea35d13d6eccd129736d4ba5f9412c2a8e151a0c9afcb65c74e", "generator_version": "3.0"}
{"id": "v3_val_00003710", "prompt": "Calculate: 7 - 651 - 4", "solution_steps": ["Subtract: 7 - 651 = -644", "Subtract: -644 - 4 = -648"], "final_answer": "-648", "answer_type": "integer", "kind": "expression", "math_text": "7 - 651 - 4", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 651, \"c\": 4}", "seed": "10572451778853885913", "semantic_fingerprint": "sha256:6204d33b9e9bf10e6c105b9136e18e4fe1f72af108272040b79bae9bbb0125b1", "generator_version": "3.0"}
{"id": "v3_val_00003711", "prompt": "Solve the equation 10x = -3(x - 82) - 90 for x.", "solution_steps": ["Expand: 10x = -3x + 246 - 90", "Combine constants: 10x = -3x + 156", "Add 3x to both sides: 13x = 156", "Divide both sides by 13: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -3(x - 82) - 90", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -3, \"c\": 82, \"e\": -90, \"x\": 12}", "seed": "17287251400740487951", "semantic_fingerprint": "sha256:17bcad3f1d86866451f4da50450210612c865815ab606fecfdc1665fd459c24d", "generator_version": "3.0"}
{"id": "v3_val_00003712", "prompt": "Solve the equation -5(x + 949) = 5x + 76 for x.", "solution_steps": ["Expand: -5x - 4745 = 5x + 76", "Subtract 5x from both sides: -10x - 4745 = 76", "Add 4745 to both sides: -10x = 4821", "Divide both sides by -10: x = -4821/10"], "final_answer": "-4821/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 949) = 5x + 76", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 949, \"c\": 5, \"d\": 76}", "seed": "430437194995045575", "semantic_fingerprint": "sha256:a8df3393c701445ba34f02d7b77b7b81beaf6af80b91e14dac265b0415b571ab", "generator_version": "3.0"}
{"id": "v3_val_00003713", "prompt": "What is -774 - (-4 - (-92) + 47)?", "solution_steps": ["Subtract: -4 - (-92) = 88", "Add: 88 + 47 = 135", "Subtract: -774 - 135 = -909"], "final_answer": "-909", "answer_type": "integer", "kind": "expression", "math_text": "-774 - (-4 - (-92) + 47)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -774, \"b\": -4, \"c\": -92, \"d\": 47}", "seed": "10674063464527908312", "semantic_fingerprint": "sha256:61c47a3d6dac311324771a96d5c9b23c79216db6ee6b02a80e2a7dc2a90e6c15", "generator_version": "3.0"}
{"id": "v3_val_00003714", "prompt": "Solve for x: -11(x - 37) - 24 = -4(x - 1) + 414", "solution_steps": ["Expand: -11x + 407 - 24 = -4(x - 1) + 414", "Expand: -11x + 407 - 24 = -4x + 4 + 414", "Combine constants: -11x + 383 = -4x + 4 + 414", "Combine constants: -11x + 383 = -4x + 418", "Add 4x to both sides: -7x + 383 = 418", "Subtract 383 from both sides: -7x = 35", "Divide both sides by -7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 37) - 24 = -4(x - 1) + 414", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 37, \"c\": 24, \"d\": -4, \"e\": 1, \"g\": 414, \"x\": -5}", "seed": "7270591057409632207", "semantic_fingerprint": "sha256:0a8ae75a80d7bcd212a9f67a06144c9d201496b250dfb43cd66f8170e501be84", "generator_version": "3.0"}
{"id": "v3_val_00003715", "prompt": "What is -766 / 9 * 6 + 89?", "solution_steps": ["Divide: -766 / 9 = -766/9", "Multiply: (-766/9) * 6 = -1532/3", "Add: -1532/3 + 89 = -1265/3"], "final_answer": "-1265/3", "answer_type": "rational", "kind": "expression", "math_text": "-766 / 9 * 6 + 89", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -766, \"b\": 9, \"c\": 6, \"d\": 89}", "seed": "8797150860865341093", "semantic_fingerprint": "sha256:f02b88dea6d41a25924c499d8a222bf52f6b25d634d51d61206f3192942b2436", "generator_version": "3.0"}
{"id": "v3_val_00003716", "prompt": "Compute: 91 / 10 - 127", "solution_steps": ["Divide: 91 / 10 = 91/10", "Subtract: 91/10 - 127 = -1179/10"], "final_answer": "-1179/10", "answer_type": "rational", "kind": "expression", "math_text": "91 / 10 - 127", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 10, \"c\": 127}", "seed": "16754752620041594262", "semantic_fingerprint": "sha256:6f8dde3da82e73a176d9581dc5074a705318f7ba13a9a9e73f9c63942ee3f929", "generator_version": "3.0"}
{"id": "v3_val_00003717", "prompt": "What is -228 - (-65 - (-959) * 6)?", "solution_steps": ["Multiply: -959 * 6 = -5754", "Subtract: -65 - (-5754) = 5689", "Subtract: -228 - 5689 = -5917"], "final_answer": "-5917", "answer_type": "integer", "kind": "expression", "math_text": "-228 - (-65 - (-959) * 6)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -228, \"b\": -65, \"c\": -959, \"d\": 6}", "seed": "11527734337244139481", "semantic_fingerprint": "sha256:e68b0e9dbc304f9dfc1507445380d06387ad4d356428016925de1bbcb71551b6", "generator_version": "3.0"}
{"id": "v3_val_00003718", "prompt": "Evaluate: -7 + 481 - 3", "solution_steps": ["Add: -7 + 481 = 474", "Subtract: 474 - 3 = 471"], "final_answer": "471", "answer_type": "integer", "kind": "expression", "math_text": "-7 + 481 - 3", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 481, \"c\": 3}", "seed": "9099690285338633617", "semantic_fingerprint": "sha256:1145923a6c05d1804adda7f70143da4d27942375112ba77aadc54e8a63783b03", "generator_version": "3.0"}
{"id": "v3_val_00003719", "prompt": "Compute: 528 * (-64 + (-2)) + 311", "solution_steps": ["Add: -64 + (-2) = -66", "Multiply: 528 * (-66) = -34848", "Add: -34848 + 311 = -34537"], "final_answer": "-34537", "answer_type": "integer", "kind": "expression", "math_text": "528 * (-64 + (-2)) + 311", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 528, \"b\": -64, \"c\": -2, \"d\": 311}", "seed": "17917424524110589317", "semantic_fingerprint": "sha256:7aa5a214ce1a9c7effa88ba0b43d33cb6acf05e22cca81755a857b3a92363077", "generator_version": "3.0"}
{"id": "v3_val_00003720", "prompt": "Find x: -4x + 9 = 8(x + 4) - 33", "solution_steps": ["Expand: -4x + 9 = 8x + 32 - 33", "Combine constants: -4x + 9 = 8x - 1", "Subtract 8x from both sides: -12x + 9 = -1", "Subtract 9 from both sides: -12x = -10", "Divide both sides by -12: x = 5/6"], "final_answer": "5/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x + 9 = 8(x + 4) - 33", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": 8, \"d\": 4, \"e\": 33}", "seed": "11442193850741757127", "semantic_fingerprint": "sha256:53a00c7284193980326e310612e6cbbfdc31e450b771be42bee3a0a0cc7aad11", "generator_version": "3.0"}
{"id": "v3_val_00003721", "prompt": "What value of x satisfies -12(x - 528) = x?", "solution_steps": ["Expand: -12x + 6336 = x", "Subtract x from both sides: -13x + 6336 = 0", "Subtract 6336 from both sides: -13x = -6336", "Divide both sides by -13: x = 6336/13"], "final_answer": "6336/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 528) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 528}", "seed": "500540617289645259", "semantic_fingerprint": "sha256:3a9fac64114b96764d84bea98546bec9002ce68c49c947676ec4d79e5e8b5b8a", "generator_version": "3.0"}
{"id": "v3_val_00003722", "prompt": "What is 10 * (-907) * 97?", "solution_steps": ["Multiply: 10 * (-907) = -9070", "Multiply: -9070 * 97 = -879790"], "final_answer": "-879790", "answer_type": "integer", "kind": "expression", "math_text": "10 * (-907) * 97", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -907, \"c\": 97}", "seed": "14502010182429854260", "semantic_fingerprint": "sha256:d60c1f61fcd2b6a8c2170dfdebd605b6b054592da8839f2fd10dbbc152dc3a05", "generator_version": "3.0"}
{"id": "v3_val_00003723", "prompt": "Compute: 3 - 3 + 6", "solution_steps": ["Subtract: 3 - 3 = 0", "Add: 0 + 6 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "3 - 3 + 6", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 6}", "seed": "7141844851915829674", "semantic_fingerprint": "sha256:a07670db95e0af345bb04349a27d947142c067e202c8c65acd9c39d37dcf551d", "generator_version": "3.0"}
{"id": "v3_val_00003724", "prompt": "Calculate: -5 - (-999)", "solution_steps": ["Subtract: -5 - (-999) = 994"], "final_answer": "994", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-999)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -999}", "seed": "1186840383021783674", "semantic_fingerprint": "sha256:36ae92ffa8bdc46172e07866bb628fddb39e23967b5d152a4c9e46cc10443401", "generator_version": "3.0"}
{"id": "v3_val_00003725", "prompt": "What is (-8 + (-69)) / (-4) - (-775)?", "solution_steps": ["Add: -8 + (-69) = -77", "Divide: -77 / (-4) = 77/4", "Subtract: 77/4 - (-775) = 3177/4"], "final_answer": "3177/4", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (-69)) / (-4) - (-775)", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -69, \"c\": -4, \"d\": -775}", "seed": "13760583673507869084", "semantic_fingerprint": "sha256:46d900b023a6e633831108d7a9376e1cf46676c128b043ea6c7edebb5fc68c27", "generator_version": "3.0"}
{"id": "v3_val_00003726", "prompt": "Find x: 5(x - 42) + 56 = -11(x + 102) + 52", "solution_steps": ["Expand: 5x - 210 + 56 = -11(x + 102) + 52", "Expand: 5x - 210 + 56 = -11x - 1122 + 52", "Combine constants: 5x - 154 = -11x - 1122 + 52", "Combine constants: 5x - 154 = -11x - 1070", "Add 11x to both sides: 16x - 154 = -1070", "Add 154 to both sides: 16x = -916", "Divide both sides by 16: x = -229/4"], "final_answer": "-229/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 42) + 56 = -11(x + 102) + 52", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 42, \"c\": 56, \"d\": -11, \"e\": 102, \"f\": 52}", "seed": "11924319314432263081", "semantic_fingerprint": "sha256:227afd82396c5f4977978ee0c4adb36f1e64b9f448a1bea548baa73459024bbd", "generator_version": "3.0"}
{"id": "v3_val_00003727", "prompt": "Solve the equation -4(x + 3) - 4 = 3x for x.", "solution_steps": ["Expand: -4x - 12 - 4 = 3x", "Combine constants: -4x - 16 = 3x", "Subtract 3x from both sides: -7x - 16 = 0", "Add 16 to both sides: -7x = 16", "Divide both sides by -7: x = -16/7"], "final_answer": "-16/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 3) - 4 = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 4, \"d\": 3}", "seed": "7955583752321367045", "semantic_fingerprint": "sha256:a1454bc3b025b2fe40f5731a298a97a2166c56ee52e2705528cb32a98c3255f1", "generator_version": "3.0"}
{"id": "v3_val_00003728", "prompt": "Compute: -23 - 8 + (-4 - (-8))", "solution_steps": ["Subtract: -23 - 8 = -31", "Subtract: -4 - (-8) = 4", "Add: -31 + 4 = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "expression", "math_text": "-23 - 8 + (-4 - (-8))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 8, \"c\": -4, \"d\": -8}", "seed": "18208239428608919679", "semantic_fingerprint": "sha256:dfaecbbff7cfe709b36c086c38192053421d863056f7280d2af811861c2c0ddb", "generator_version": "3.0"}
{"id": "v3_val_00003729", "prompt": "What value of x satisfies 7x - 107 = -2(x + 31)?", "solution_steps": ["Expand: 7x - 107 = -2x - 62", "Add 2x to both sides: 9x - 107 = -62", "Add 107 to both sides: 9x = 45", "Divide both sides by 9: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 107 = -2(x + 31)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -2, \"c\": 31, \"e\": -107, \"x\": 5}", "seed": "2200073619124308908", "semantic_fingerprint": "sha256:3665f7fa43b427c8d1f2629e1f36a25ed359593f956483c7afe82c7b543ac9b3", "generator_version": "3.0"}
{"id": "v3_val_00003730", "prompt": "Compute: 26 * (-2)", "solution_steps": ["Multiply: 26 * (-2) = -52"], "final_answer": "-52", "answer_type": "integer", "kind": "expression", "math_text": "26 * (-2)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -2}", "seed": "4512204791266081271", "semantic_fingerprint": "sha256:981370ef65550dc0fc969ed55aae9a36eb277d5dc854b9a7fc549384536e29c6", "generator_version": "3.0"}
{"id": "v3_val_00003731", "prompt": "What is -54 / (-25) / (-7)?", "solution_steps": ["Divide: -54 / (-25) = 54/25", "Divide: (54/25) / (-7) = -54/175"], "final_answer": "-54/175", "answer_type": "rational", "kind": "expression", "math_text": "-54 / (-25) / (-7)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -25, \"c\": -7}", "seed": "219980735289877102", "semantic_fingerprint": "sha256:cae58d60af5941e67ce6c46e9c82f0141751c8c6a82c4929c93afbcbbe42c3f3", "generator_version": "3.0"}
{"id": "v3_val_00003732", "prompt": "Compute: -99 * (-10 * 25 * 9 / (-193))", "solution_steps": ["Multiply: -10 * 25 = -250", "Multiply: -250 * 9 = -2250", "Divide: -2250 / (-193) = 2250/193", "Multiply: -99 * (2250/193) = -222750/193"], "final_answer": "-222750/193", "answer_type": "rational", "kind": "expression", "math_text": "-99 * (-10 * 25 * 9 / (-193))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -10, \"c\": 25, \"d\": 9, \"e\": -193}", "seed": "17810958139329097942", "semantic_fingerprint": "sha256:59dbebacf6c0bda1702ef55eddaa9686c84ddab8dab75988f3456aea2a967616", "generator_version": "3.0"}
{"id": "v3_val_00003733", "prompt": "Calculate: 6 * (-344) / (4 * (-354))", "solution_steps": ["Multiply: 6 * (-344) = -2064", "Multiply: 4 * (-354) = -1416", "Divide: -2064 / (-1416) = 86/59"], "final_answer": "86/59", "answer_type": "rational", "kind": "expression", "math_text": "6 * (-344) / (4 * (-354))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -344, \"c\": 4, \"d\": -354}", "seed": "8700367950877179157", "semantic_fingerprint": "sha256:e9de74ab4d83095f71d4dacb45bdb6610f6edb647551ef3ee9957f3d7141a4da", "generator_version": "3.0"}
{"id": "v3_val_00003734", "prompt": "Solve the equation x + 233 = 8(x + 2) for x.", "solution_steps": ["Expand: x + 233 = 8x + 16", "Subtract 8x from both sides: -7x + 233 = 16", "Subtract 233 from both sides: -7x = -217", "Divide both sides by -7: x = 31"], "final_answer": "31", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 233 = 8(x + 2)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 233, \"b\": 8, \"c\": 2}", "seed": "14774012109069907165", "semantic_fingerprint": "sha256:788b361fd74826649a5b292e59e7bceab041b15ee35f977eaeed9280747e06ad", "generator_version": "3.0"}
{"id": "v3_val_00003735", "prompt": "Evaluate: -2 - (9 - (-38))", "solution_steps": ["Subtract: 9 - (-38) = 47", "Subtract: -2 - 47 = -49"], "final_answer": "-49", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (9 - (-38))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": -38}", "seed": "3915973587204995964", "semantic_fingerprint": "sha256:49b0eac9cd912bf5d4fb0ac6f8e70b3720b1feaf34514e5580dccf56b96cf4b4", "generator_version": "3.0"}
{"id": "v3_val_00003736", "prompt": "Evaluate: (-71 * 3 + (-8) - (-536)) / 9", "solution_steps": ["Multiply: -71 * 3 = -213", "Add: -213 + (-8) = -221", "Subtract: -221 - (-536) = 315", "Divide: 315 / 9 = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "(-71 * 3 + (-8) - (-536)) / 9", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 3, \"c\": -8, \"d\": -536, \"e\": 9}", "seed": "17721516754509184986", "semantic_fingerprint": "sha256:bf0cab2110aa482edf5273eca7377e97f1aff0c3ca86bee8df29c49457a1a0a2", "generator_version": "3.0"}
{"id": "v3_val_00003737", "prompt": "Solve for x: 3x = -45", "solution_steps": ["Divide both sides by 3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -45", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": -45, \"x\": -15}", "seed": "14285537797453392678", "semantic_fingerprint": "sha256:fefdafa9491b413e9b0dfb90d8d810f84dc2f202538b2a82575bcabef7e613c6", "generator_version": "3.0"}
{"id": "v3_val_00003738", "prompt": "What is 7 / (628 / 1) - (689 - (-5))?", "solution_steps": ["Divide: 628 / 1 = 628", "Divide: 7 / 628 = 7/628", "Subtract: 689 - (-5) = 694", "Subtract: 7/628 - 694 = -435825/628"], "final_answer": "-435825/628", "answer_type": "rational", "kind": "expression", "math_text": "7 / (628 / 1) - (689 - (-5))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 628, \"c\": 1, \"d\": 689, \"e\": -5}", "seed": "18039584962866956163", "semantic_fingerprint": "sha256:747417acc0681d9d8492729a6186821fb95350fc2f4e5f0fec171b7fcd8294d7", "generator_version": "3.0"}
{"id": "v3_val_00003739", "prompt": "Compute: -464 - 18 + 31 / (-2)", "solution_steps": ["Subtract: -464 - 18 = -482", "Divide: 31 / (-2) = -31/2", "Add: -482 + (-31/2) = -995/2"], "final_answer": "-995/2", "answer_type": "rational", "kind": "expression", "math_text": "-464 - 18 + 31 / (-2)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -464, \"b\": 18, \"c\": 31, \"d\": -2}", "seed": "16254942769142259186", "semantic_fingerprint": "sha256:367f93ea3649c80ce2e94cf1cf5d37c7aad4c915169d647e814fc5c6a00211ba", "generator_version": "3.0"}
{"id": "v3_val_00003740", "prompt": "What is (-81 - 3) * 421 / (1 + (-54))?", "solution_steps": ["Subtract: -81 - 3 = -84", "Multiply: -84 * 421 = -35364", "Add: 1 + (-54) = -53", "Divide: -35364 / (-53) = 35364/53"], "final_answer": "35364/53", "answer_type": "rational", "kind": "expression", "math_text": "(-81 - 3) * 421 / (1 + (-54))", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 3, \"c\": 421, \"d\": 1, \"e\": -54}", "seed": "6837875170966280356", "semantic_fingerprint": "sha256:2665e47c5ab328b0335e472abc8f8419372c046a36276ab0d29d56d82b3d42ab", "generator_version": "3.0"}
{"id": "v3_val_00003741", "prompt": "Find x: x - 421 = 4(x + 8) - 450", "solution_steps": ["Expand: x - 421 = 4x + 32 - 450", "Combine constants: x - 421 = 4x - 418", "Subtract 4x from both sides: -3x - 421 = -418", "Add 421 to both sides: -3x = 3", "Divide both sides by -3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 421 = 4(x + 8) - 450", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 421, \"b\": 4, \"c\": 8, \"e\": -450, \"x\": -1}", "seed": "13614871471841353534", "semantic_fingerprint": "sha256:3643a67b39c691819fbfbe8b789f584bbd2685d1d19771b5b34fc7cff2876a35", "generator_version": "3.0"}
{"id": "v3_val_00003742", "prompt": "What is 25 + (-84 / 9 - (-820))?", "solution_steps": ["Divide: -84 / 9 = -28/3", "Subtract: -28/3 - (-820) = 2432/3", "Add: 25 + 2432/3 = 2507/3"], "final_answer": "2507/3", "answer_type": "rational", "kind": "expression", "math_text": "25 + (-84 / 9 - (-820))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -84, \"c\": 9, \"d\": -820}", "seed": "18290721085497789032", "semantic_fingerprint": "sha256:e706693ead3ee2041514dacfe7344e25cd6d5ce7d5760d0b085a39f7f4437f4b", "generator_version": "3.0"}
{"id": "v3_val_00003743", "prompt": "Compute: 31 - (-4 + 4 + (-644) / 631 + (-8))", "solution_steps": ["Add: -4 + 4 = 0", "Divide: -644 / 631 = -644/631", "Add: 0 + (-644/631) = -644/631", "Add: -644/631 + (-8) = -5692/631", "Subtract: 31 - (-5692/631) = 25253/631"], "final_answer": "25253/631", "answer_type": "rational", "kind": "expression", "math_text": "31 - (-4 + 4 + (-644) / 631 + (-8))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (+ n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -4, \"c\": 4, \"d\": -644, \"e\": 631, \"f\": -8}", "seed": "12227115533225605373", "semantic_fingerprint": "sha256:dc2e86e77bc6226712bcbc0cbb8b067ae1dafaac3c2a9d1eff2c5ae1eeaa980a", "generator_version": "3.0"}
{"id": "v3_val_00003744", "prompt": "Find x: x - 77 = 34", "solution_steps": ["Add 77 to both sides: x = 111"], "final_answer": "111", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 77 = 34", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 34}", "seed": "882961398327045115", "semantic_fingerprint": "sha256:0fbd5b9a8ef746e93dc2490cfda111a230d72220d7efecfcae33722e771b3472", "generator_version": "3.0"}
{"id": "v3_val_00003745", "prompt": "What is 791 - 11 - (-128)?", "solution_steps": ["Subtract: 791 - 11 = 780", "Subtract: 780 - (-128) = 908"], "final_answer": "908", "answer_type": "integer", "kind": "expression", "math_text": "791 - 11 - (-128)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 791, \"b\": 11, \"c\": -128}", "seed": "9753195680601881014", "semantic_fingerprint": "sha256:7a8ccf9bc2cb26c3584c912ec00b6cb76df620aa9cf7e5abe31310766ac0c53e", "generator_version": "3.0"}
{"id": "v3_val_00003746", "prompt": "Find x: x + 12 = 10", "solution_steps": ["Subtract 12 from both sides: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 12 = 10", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": 10, \"x\": -2}", "seed": "15825567654107942965", "semantic_fingerprint": "sha256:02250469e5f79ec034b6cb57d6a52e43a0a41d424d57d5eff68147c007fc3ce0", "generator_version": "3.0"}
{"id": "v3_val_00003747", "prompt": "What value of x satisfies x - 5 = 2(x + 9) - 43?", "solution_steps": ["Expand: x - 5 = 2x + 18 - 43", "Combine constants: x - 5 = 2x - 25", "Subtract 2x from both sides: -x - 5 = -25", "Add 5 to both sides: -x = -20", "Divide both sides by -1: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 2(x + 9) - 43", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 9, \"e\": -43, \"x\": 20}", "seed": "1371569571503333555", "semantic_fingerprint": "sha256:00566355baacb08d11db584e5514a74d1d53e432634b2fb83a493b305c142f7f", "generator_version": "3.0"}
{"id": "v3_val_00003748", "prompt": "Solve for x: -5(x + 1) = 3x - 61", "solution_steps": ["Expand: -5x - 5 = 3x - 61", "Subtract 3x from both sides: -8x - 5 = -61", "Add 5 to both sides: -8x = -56", "Divide both sides by -8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 1) = 3x - 61", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": 3, \"e\": -61, \"x\": 7}", "seed": "7236245625015477891", "semantic_fingerprint": "sha256:e784bdfdcdbe198a82d0a259356937d9a5ff1513b590417ee314a627a3441cdc", "generator_version": "3.0"}
{"id": "v3_val_00003749", "prompt": "Evaluate: -210 + 77 + (0 - (-726 + (-8 + 70)))", "solution_steps": ["Add: -210 + 77 = -133", "Add: -8 + 70 = 62", "Add: -726 + 62 = -664", "Subtract: 0 - (-664) = 664", "Add: -133 + 664 = 531"], "final_answer": "531", "answer_type": "integer", "kind": "expression", "math_text": "-210 + 77 + (0 - (-726 + (-8 + 70)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (+ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -210, \"b\": 77, \"c\": 0, \"d\": -726, \"e\": -8, \"f\": 70}", "seed": "17496027746453015985", "semantic_fingerprint": "sha256:bfb02d493215067916cb95abf76bb41a8549ca84c2079210ecc05a51ab21aab3", "generator_version": "3.0"}
{"id": "v3_val_00003750", "prompt": "Find x: -11x - 81 = x - 81", "solution_steps": ["Subtract x from both sides: -12x - 81 = -81", "Add 81 to both sides: -12x = 0", "Divide both sides by -12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 81 = x - 81", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 81, \"d\": -81, \"x\": 0}", "seed": "16512442753988763286", "semantic_fingerprint": "sha256:0765298fe62967c8bd1e2f4be691232b6d8b4e04877e38dc424fd9339629ca0a", "generator_version": "3.0"}
{"id": "v3_val_00003751", "prompt": "Compute: 24 + 70 / 802", "solution_steps": ["Divide: 70 / 802 = 35/401", "Add: 24 + 35/401 = 9659/401"], "final_answer": "9659/401", "answer_type": "rational", "kind": "expression", "math_text": "24 + 70 / 802", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 70, \"c\": 802}", "seed": "16026747944220281934", "semantic_fingerprint": "sha256:a842ae2dfb8e24e46a6c99a3518a519d0c6a9d29a044ca15849d80fab2d67a11", "generator_version": "3.0"}
{"id": "v3_val_00003752", "prompt": "Evaluate: -401 * (223 - 31)", "solution_steps": ["Subtract: 223 - 31 = 192", "Multiply: -401 * 192 = -76992"], "final_answer": "-76992", "answer_type": "integer", "kind": "expression", "math_text": "-401 * (223 - 31)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -401, \"b\": 223, \"c\": 31}", "seed": "10141475930049390254", "semantic_fingerprint": "sha256:d370b872baa85b5ea2b2d87e2be8a32581f11855ef6c7cd54cfa0d59527163ba", "generator_version": "3.0"}
{"id": "v3_val_00003753", "prompt": "Evaluate: 1 / 303 + 69", "solution_steps": ["Divide: 1 / 303 = 1/303", "Add: 1/303 + 69 = 20908/303"], "final_answer": "20908/303", "answer_type": "rational", "kind": "expression", "math_text": "1 / 303 + 69", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 303, \"c\": 69}", "seed": "5769869911215927999", "semantic_fingerprint": "sha256:e779a7454d0fd8ee317be1dd275610490f009491239a5cf41e9554b973dc4959", "generator_version": "3.0"}
{"id": "v3_val_00003754", "prompt": "Evaluate: -660 - (-35)", "solution_steps": ["Subtract: -660 - (-35) = -625"], "final_answer": "-625", "answer_type": "integer", "kind": "expression", "math_text": "-660 - (-35)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -660, \"b\": -35}", "seed": "13252118499703711248", "semantic_fingerprint": "sha256:0ccc6c8c10440939c97a4d738c972deb4d61e3c02261140f3940e10458b6c6b1", "generator_version": "3.0"}
{"id": "v3_val_00003755", "prompt": "Compute: -2 + (0 + (-9 - 9)) * (-25)", "solution_steps": ["Subtract: -9 - 9 = -18", "Add: 0 + (-18) = -18", "Multiply: -18 * (-25) = 450", "Add: -2 + 450 = 448"], "final_answer": "448", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (0 + (-9 - 9)) * (-25)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 0, \"c\": -9, \"d\": 9, \"e\": -25}", "seed": "3766800904934100323", "semantic_fingerprint": "sha256:8d755ec487c989c56503eee2a3d541130b0de36adaeaf837967bd4da56945cd4", "generator_version": "3.0"}
{"id": "v3_val_00003756", "prompt": "Compute: -34 - (7 - 48) * (-633)", "solution_steps": ["Subtract: 7 - 48 = -41", "Multiply: -41 * (-633) = 25953", "Subtract: -34 - 25953 = -25987"], "final_answer": "-25987", "answer_type": "integer", "kind": "expression", "math_text": "-34 - (7 - 48) * (-633)", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 7, \"c\": 48, \"d\": -633}", "seed": "17783705201468571966", "semantic_fingerprint": "sha256:d713d92543924470501f1a59f83060711a47f34d99419880075238b289006411", "generator_version": "3.0"}
{"id": "v3_val_00003757", "prompt": "Calculate: -968 * (6 - (-7)) / 8", "solution_steps": ["Subtract: 6 - (-7) = 13", "Multiply: -968 * 13 = -12584", "Divide: -12584 / 8 = -1573"], "final_answer": "-1573", "answer_type": "integer", "kind": "expression", "math_text": "-968 * (6 - (-7)) / 8", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -968, \"b\": 6, \"c\": -7, \"d\": 8}", "seed": "14503843792754437025", "semantic_fingerprint": "sha256:2d1e46d34207eb485b8010550023b2488ed1566b740748590c910ee89293ca4d", "generator_version": "3.0"}
{"id": "v3_val_00003758", "prompt": "Calculate: -5 * (-86 - (-514 + (-71)) - 18)", "solution_steps": ["Add: -514 + (-71) = -585", "Subtract: -86 - (-585) = 499", "Subtract: 499 - 18 = 481", "Multiply: -5 * 481 = -2405"], "final_answer": "-2405", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-86 - (-514 + (-71)) - 18)", "variable": null, "family": "expression_4op", "shape": "(* n (- (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -86, \"c\": -514, \"d\": -71, \"e\": 18}", "seed": "7847095559810188091", "semantic_fingerprint": "sha256:ef0a4a343cb3e4e1afce4c1963e3d2de610fef1f243f307125ba0acbcf4c9e11", "generator_version": "3.0"}
{"id": "v3_val_00003759", "prompt": "Solve for x: -8x + 3 = 10x - 73", "solution_steps": ["Subtract 10x from both sides: -18x + 3 = -73", "Subtract 3 from both sides: -18x = -76", "Divide both sides by -18: x = 38/9"], "final_answer": "38/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x + 3 = 10x - 73", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 10, \"d\": 73}", "seed": "15293322040651683016", "semantic_fingerprint": "sha256:c1c483fa4e43f9aa764dbfecb7ecb3c8ac25a92381a6727b6b7f55ce6672ee7c", "generator_version": "3.0"}
{"id": "v3_val_00003760", "prompt": "Find x: 12(x + 6) - 50 = x", "solution_steps": ["Expand: 12x + 72 - 50 = x", "Combine constants: 12x + 22 = x", "Subtract x from both sides: 11x + 22 = 0", "Subtract 22 from both sides: 11x = -22", "Divide both sides by 11: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 6) - 50 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"d\": -50, \"x\": -2}", "seed": "5336085863697364224", "semantic_fingerprint": "sha256:47f63c8b3f0e78df150e4a5fe9ed635872269f67c6ba528c140ba2f9b7068867", "generator_version": "3.0"}
{"id": "v3_val_00003761", "prompt": "Evaluate: -89 * (-2 - 4)", "solution_steps": ["Subtract: -2 - 4 = -6", "Multiply: -89 * (-6) = 534"], "final_answer": "534", "answer_type": "integer", "kind": "expression", "math_text": "-89 * (-2 - 4)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -2, \"c\": 4}", "seed": "9868696231326174777", "semantic_fingerprint": "sha256:14f6e8923612694a9ed837c9a22a708b07046c82a52528bf79a2c5149dbb814f", "generator_version": "3.0"}
{"id": "v3_val_00003762", "prompt": "Solve the equation 11x - 7 = 9(x + 5) for x.", "solution_steps": ["Expand: 11x - 7 = 9x + 45", "Subtract 9x from both sides: 2x - 7 = 45", "Add 7 to both sides: 2x = 52", "Divide both sides by 2: x = 26"], "final_answer": "26", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 7 = 9(x + 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 9, \"d\": 5}", "seed": "13711547227637290035", "semantic_fingerprint": "sha256:393a95796ea60fb3f9b8b3dad82e59bb73d20d9e961d05d8ab7a179a9a62e78c", "generator_version": "3.0"}
{"id": "v3_val_00003763", "prompt": "Calculate: 573 * ((25 - 89) / (-4))", "solution_steps": ["Subtract: 25 - 89 = -64", "Divide: -64 / (-4) = 16", "Multiply: 573 * 16 = 9168"], "final_answer": "9168", "answer_type": "integer", "kind": "expression", "math_text": "573 * ((25 - 89) / (-4))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 573, \"b\": 25, \"c\": 89, \"d\": -4}", "seed": "1176990343990438540", "semantic_fingerprint": "sha256:78934409cdae6bc039e299d028c03ee68c3903b58aebc66dc6cad53d5cf5d88a", "generator_version": "3.0"}
{"id": "v3_val_00003764", "prompt": "Solve the equation -9(x - 6) + 1 = -35 for x.", "solution_steps": ["Expand: -9x + 54 + 1 = -35", "Combine constants: -9x + 55 = -35", "Subtract 55 from both sides: -9x = -90", "Divide both sides by -9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 6) + 1 = -35", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 1, \"d\": -35}", "seed": "13262998703788239616", "semantic_fingerprint": "sha256:cc282a3e73e747707bea23764b4ebc285890f52b73c67cc117332b46f728f83c", "generator_version": "3.0"}
{"id": "v3_val_00003765", "prompt": "Calculate: (-65 - (-94)) / (-496 + (-6))", "solution_steps": ["Subtract: -65 - (-94) = 29", "Add: -496 + (-6) = -502", "Divide: 29 / (-502) = -29/502"], "final_answer": "-29/502", "answer_type": "rational", "kind": "expression", "math_text": "(-65 - (-94)) / (-496 + (-6))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -94, \"c\": -496, \"d\": -6}", "seed": "6501733187704781529", "semantic_fingerprint": "sha256:8daa4c6ca0d4a9072595e93c1a535d08862ef9635cda8be23f65c76d120424e6", "generator_version": "3.0"}
{"id": "v3_val_00003766", "prompt": "Calculate: -5 + 4 - 85", "solution_steps": ["Add: -5 + 4 = -1", "Subtract: -1 - 85 = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 4 - 85", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 85}", "seed": "3435529722435475005", "semantic_fingerprint": "sha256:2cb27ef7ddda5fadc856fbed0687b75970c06b7bd9a5da59bdf6601127f973bc", "generator_version": "3.0"}
{"id": "v3_val_00003767", "prompt": "Compute: -96 + (-971)", "solution_steps": ["Add: -96 + (-971) = -1067"], "final_answer": "-1067", "answer_type": "integer", "kind": "expression", "math_text": "-96 + (-971)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -971}", "seed": "3784652671175232482", "semantic_fingerprint": "sha256:ea4bead49f5e83febb191656fd89233a5fe17fd17a7cba31ab481f2d10291a06", "generator_version": "3.0"}
{"id": "v3_val_00003768", "prompt": "What is -79 - (-57 * 89 + 241 / 7)?", "solution_steps": ["Multiply: -57 * 89 = -5073", "Divide: 241 / 7 = 241/7", "Add: -5073 + 241/7 = -35270/7", "Subtract: -79 - (-35270/7) = 34717/7"], "final_answer": "34717/7", "answer_type": "rational", "kind": "expression", "math_text": "-79 - (-57 * 89 + 241 / 7)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -57, \"c\": 89, \"d\": 241, \"e\": 7}", "seed": "10924788205412972407", "semantic_fingerprint": "sha256:4da3ec740c4e229bc12cb2eaf5c23e429d642a59237e2e6594a3f65b0222802e", "generator_version": "3.0"}
{"id": "v3_val_00003769", "prompt": "Solve for x: 6(x + 42) = 8x + 822", "solution_steps": ["Expand: 6x + 252 = 8x + 822", "Subtract 8x from both sides: -2x + 252 = 822", "Subtract 252 from both sides: -2x = 570", "Divide both sides by -2: x = -285"], "final_answer": "-285", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 42) = 8x + 822", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 42, \"c\": 8, \"d\": 822}", "seed": "449964949425002573", "semantic_fingerprint": "sha256:2045eca26a4abdebb45728297fa8852f2f242f90d6d3a7e32f97b5e007773cf3", "generator_version": "3.0"}
{"id": "v3_val_00003770", "prompt": "Evaluate: -1 + 290", "solution_steps": ["Add: -1 + 290 = 289"], "final_answer": "289", "answer_type": "integer", "kind": "expression", "math_text": "-1 + 290", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 290}", "seed": "15416349749015541913", "semantic_fingerprint": "sha256:a7acb6c8648bf497f7c8968ec31e6ec91faa3c809d5ecfd66f19d4c004323ccc", "generator_version": "3.0"}
{"id": "v3_val_00003771", "prompt": "Calculate: 4 / ((0 - (-687)) / (-267) * (8 * (-9)))", "solution_steps": ["Subtract: 0 - (-687) = 687", "Divide: 687 / (-267) = -229/89", "Multiply: 8 * (-9) = -72", "Multiply: (-229/89) * (-72) = 16488/89", "Divide: 4 / (16488/89) = 89/4122"], "final_answer": "89/4122", "answer_type": "rational", "kind": "expression", "math_text": "4 / ((0 - (-687)) / (-267) * (8 * (-9)))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (/ (- n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 0, \"c\": -687, \"d\": -267, \"e\": 8, \"f\": -9}", "seed": "17304749865517880285", "semantic_fingerprint": "sha256:33f9fcb1cfdcf4821c946b879434c94ee9c5da5fc26f7227b3762a91ec4f02e3", "generator_version": "3.0"}
{"id": "v3_val_00003772", "prompt": "Calculate: -850 - (-4) + (-16 - 25) * (22 - (-66))", "solution_steps": ["Subtract: -850 - (-4) = -846", "Subtract: -16 - 25 = -41", "Subtract: 22 - (-66) = 88", "Multiply: -41 * 88 = -3608", "Add: -846 + (-3608) = -4454"], "final_answer": "-4454", "answer_type": "integer", "kind": "expression", "math_text": "-850 - (-4) + (-16 - 25) * (22 - (-66))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -850, \"b\": -4, \"c\": -16, \"d\": 25, \"e\": 22, \"f\": -66}", "seed": "15941719219406823110", "semantic_fingerprint": "sha256:40fa17d71698a787b3bfdb271ff5c9f0c0f5d3e4f44c5d3a8a36fb866b77ce3b", "generator_version": "3.0"}
{"id": "v3_val_00003773", "prompt": "Compute: -90 - 24", "solution_steps": ["Subtract: -90 - 24 = -114"], "final_answer": "-114", "answer_type": "integer", "kind": "expression", "math_text": "-90 - 24", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 24}", "seed": "233461097323868116", "semantic_fingerprint": "sha256:889db43dc6e3e40961c345e15b5507711aa402efec549f299b96d930073fe787", "generator_version": "3.0"}
{"id": "v3_val_00003774", "prompt": "What is -6 / 61 + (-7 + 2)?", "solution_steps": ["Divide: -6 / 61 = -6/61", "Add: -7 + 2 = -5", "Add: -6/61 + (-5) = -311/61"], "final_answer": "-311/61", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 61 + (-7 + 2)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 61, \"c\": -7, \"d\": 2}", "seed": "17950452179126502219", "semantic_fingerprint": "sha256:b02b120c8c7850768bfd1c8b92aa22a22e2efe9e87f528f9461d00a55eb14101", "generator_version": "3.0"}
{"id": "v3_val_00003775", "prompt": "Evaluate: -44 - (-55) - 0 / (103 + 45)", "solution_steps": ["Subtract: -44 - (-55) = 11", "Add: 103 + 45 = 148", "Divide: 0 / 148 = 0", "Subtract: 11 - 0 = 11"], "final_answer": "11", "answer_type": "integer", "kind": "expression", "math_text": "-44 - (-55) - 0 / (103 + 45)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -55, \"c\": 0, \"d\": 103, \"e\": 45}", "seed": "10727565351743694906", "semantic_fingerprint": "sha256:fcab8d39c859fe41032cfd65ba166003084e07078b28e867caf75f88d075bd46", "generator_version": "3.0"}
{"id": "v3_val_00003776", "prompt": "What is (48 + (-68)) / 5?", "solution_steps": ["Add: 48 + (-68) = -20", "Divide: -20 / 5 = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "(48 + (-68)) / 5", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -68, \"c\": 5}", "seed": "9141448323850380089", "semantic_fingerprint": "sha256:c2a5e2eaf0b8a1cb9cc0a673d587a4860cee055a92033b096469e329f499c421", "generator_version": "3.0"}
{"id": "v3_val_00003777", "prompt": "What is -7 * (-8 * (-8))?", "solution_steps": ["Multiply: -8 * (-8) = 64", "Multiply: -7 * 64 = -448"], "final_answer": "-448", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-8 * (-8))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -8, \"c\": -8}", "seed": "13085360012890889241", "semantic_fingerprint": "sha256:e6678bcc68862590509719c2715b598f20259e28487d15524508999c8f2ad541", "generator_version": "3.0"}
{"id": "v3_val_00003778", "prompt": "Solve the equation -11(x - 754) - 345 = 3x - 9 for x.", "solution_steps": ["Expand: -11x + 8294 - 345 = 3x - 9", "Combine constants: -11x + 7949 = 3x - 9", "Subtract 3x from both sides: -14x + 7949 = -9", "Subtract 7949 from both sides: -14x = -7958", "Divide both sides by -14: x = 3979/7"], "final_answer": "3979/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 754) - 345 = 3x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 754, \"c\": 345, \"d\": 3, \"e\": 9}", "seed": "4414474534838468861", "semantic_fingerprint": "sha256:3c84de38feda4e03692db463a8eb65aa861ec1fc40dd6761fb847ab89c2eb504", "generator_version": "3.0"}
{"id": "v3_val_00003779", "prompt": "Solve the equation -10(x + 9) = 8(x + 89) - 694 for x.", "solution_steps": ["Expand: -10x - 90 = 8(x + 89) - 694", "Expand: -10x - 90 = 8x + 712 - 694", "Combine constants: -10x - 90 = 8x + 18", "Subtract 8x from both sides: -18x - 90 = 18", "Add 90 to both sides: -18x = 108", "Divide both sides by -18: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 9) = 8(x + 89) - 694", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 9, \"c\": 8, \"d\": 89, \"f\": -694, \"x\": -6}", "seed": "18263615912074745988", "semantic_fingerprint": "sha256:0b1e1abc7ca7c7600ae7cacb6f4942e83452315d456b048408e5eb5e1590ba55", "generator_version": "3.0"}
{"id": "v3_val_00003780", "prompt": "Calculate: 41 - 63 - 7", "solution_steps": ["Subtract: 41 - 63 = -22", "Subtract: -22 - 7 = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "expression", "math_text": "41 - 63 - 7", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 63, \"c\": 7}", "seed": "11721814845548264584", "semantic_fingerprint": "sha256:afb3b2f0e7070c416adc822578dd65687b41f959f2028afa200cda49a5b6f956", "generator_version": "3.0"}
{"id": "v3_val_00003781", "prompt": "Calculate: (-151 - 80) / (179 * (-8)) * 80", "solution_steps": ["Subtract: -151 - 80 = -231", "Multiply: 179 * (-8) = -1432", "Divide: -231 / (-1432) = 231/1432", "Multiply: (231/1432) * 80 = 2310/179"], "final_answer": "2310/179", "answer_type": "rational", "kind": "expression", "math_text": "(-151 - 80) / (179 * (-8)) * 80", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -151, \"b\": 80, \"c\": 179, \"d\": -8, \"e\": 80}", "seed": "6819827319939905616", "semantic_fingerprint": "sha256:73df587b18308dae43fee34998a3b12dee602d346258dd6b9d3904911a35fc1b", "generator_version": "3.0"}
{"id": "v3_val_00003782", "prompt": "What is -245 / (-73 - (-35 - (-2 + (-5))))?", "solution_steps": ["Add: -2 + (-5) = -7", "Subtract: -35 - (-7) = -28", "Subtract: -73 - (-28) = -45", "Divide: -245 / (-45) = 49/9"], "final_answer": "49/9", "answer_type": "rational", "kind": "expression", "math_text": "-245 / (-73 - (-35 - (-2 + (-5))))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (- n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -245, \"b\": -73, \"c\": -35, \"d\": -2, \"e\": -5}", "seed": "9254564944802505886", "semantic_fingerprint": "sha256:7c4dcf480e7619042190d78bb55647d0dad8e0b39f9ec552e3f848edbdcd3841", "generator_version": "3.0"}
{"id": "v3_val_00003783", "prompt": "Evaluate: (-2 + (-50) + (-893)) * 55 - 52", "solution_steps": ["Add: -2 + (-50) = -52", "Add: -52 + (-893) = -945", "Multiply: -945 * 55 = -51975", "Subtract: -51975 - 52 = -52027"], "final_answer": "-52027", "answer_type": "integer", "kind": "expression", "math_text": "(-2 + (-50) + (-893)) * 55 - 52", "variable": null, "family": "expression_4op", "shape": "(- (* (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -50, \"c\": -893, \"d\": 55, \"e\": 52}", "seed": "9754937232835464515", "semantic_fingerprint": "sha256:3947134bc6567292eaedd64903cf813a565864d5b831986de2b63b2818937ad7", "generator_version": "3.0"}
{"id": "v3_val_00003784", "prompt": "What is 407 + 948?", "solution_steps": ["Add: 407 + 948 = 1355"], "final_answer": "1355", "answer_type": "integer", "kind": "expression", "math_text": "407 + 948", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 407, \"b\": 948}", "seed": "16207745316855346844", "semantic_fingerprint": "sha256:2a00e370c31ec1bfb0c2c4470c52cc0a30415e76995be41b6311acca7f14872e", "generator_version": "3.0"}
{"id": "v3_val_00003785", "prompt": "Find x: 10(x - 37) - 19 = -11(x + 5) - 61", "solution_steps": ["Expand: 10x - 370 - 19 = -11(x + 5) - 61", "Expand: 10x - 370 - 19 = -11x - 55 - 61", "Combine constants: 10x - 389 = -11x - 55 - 61", "Combine constants: 10x - 389 = -11x - 116", "Add 11x to both sides: 21x - 389 = -116", "Add 389 to both sides: 21x = 273", "Divide both sides by 21: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 37) - 19 = -11(x + 5) - 61", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 37, \"c\": 19, \"d\": -11, \"e\": 5, \"g\": -61, \"x\": 13}", "seed": "6593337750576054392", "semantic_fingerprint": "sha256:1ee1e29e664ad259da1304eb1c8bf3f0bfe21fa9154cd15ea9a463370c808eb3", "generator_version": "3.0"}
{"id": "v3_val_00003786", "prompt": "Compute: 397 / (-77) - (-414)", "solution_steps": ["Divide: 397 / (-77) = -397/77", "Subtract: -397/77 - (-414) = 31481/77"], "final_answer": "31481/77", "answer_type": "rational", "kind": "expression", "math_text": "397 / (-77) - (-414)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 397, \"b\": -77, \"c\": -414}", "seed": "14059485041134197194", "semantic_fingerprint": "sha256:abf8a866f331bce12a942b1dfce273adf0ebfba6eab89eef47289024d5cc2636", "generator_version": "3.0"}
{"id": "v3_val_00003787", "prompt": "Calculate: (741 - (-10 + 5)) / (-51 - (-1) * (-5))", "solution_steps": ["Add: -10 + 5 = -5", "Subtract: 741 - (-5) = 746", "Multiply: -1 * (-5) = 5", "Subtract: -51 - 5 = -56", "Divide: 746 / (-56) = -373/28"], "final_answer": "-373/28", "answer_type": "rational", "kind": "expression", "math_text": "(741 - (-10 + 5)) / (-51 - (-1) * (-5))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ n n)) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 741, \"b\": -10, \"c\": 5, \"d\": -51, \"e\": -1, \"f\": -5}", "seed": "11835035887543559974", "semantic_fingerprint": "sha256:4e1105c99f8b137d5015deb2a1f246a08506ff4ca1cc110601dbbea3f93849e3", "generator_version": "3.0"}
{"id": "v3_val_00003788", "prompt": "Calculate: -68 - (-9) + (-56)", "solution_steps": ["Subtract: -68 - (-9) = -59", "Add: -59 + (-56) = -115"], "final_answer": "-115", "answer_type": "integer", "kind": "expression", "math_text": "-68 - (-9) + (-56)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -9, \"c\": -56}", "seed": "18147623130076969722", "semantic_fingerprint": "sha256:8dea219fcc43d3f88666b215036b712bc12e676bbd60f6348686d96627f9043f", "generator_version": "3.0"}
{"id": "v3_val_00003789", "prompt": "Evaluate: 394 + (-37)", "solution_steps": ["Add: 394 + (-37) = 357"], "final_answer": "357", "answer_type": "integer", "kind": "expression", "math_text": "394 + (-37)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 394, \"b\": -37}", "seed": "2642004796538311929", "semantic_fingerprint": "sha256:231157397012b8fcf470254215c17ef357e1c480f1e5d2351908540873ea06c7", "generator_version": "3.0"}
{"id": "v3_val_00003790", "prompt": "Find x: 7(x - 7) = -4(x - 64) - 129", "solution_steps": ["Expand: 7x - 49 = -4(x - 64) - 129", "Expand: 7x - 49 = -4x + 256 - 129", "Combine constants: 7x - 49 = -4x + 127", "Add 4x to both sides: 11x - 49 = 127", "Add 49 to both sides: 11x = 176", "Divide both sides by 11: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 7) = -4(x - 64) - 129", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": -4, \"d\": 64, \"f\": -129, \"x\": 16}", "seed": "11373798092651737594", "semantic_fingerprint": "sha256:c52c40dd0f3b0b2de9fc1619a34390ea46610c071d03101d7d2f7db84b04f620", "generator_version": "3.0"}
{"id": "v3_val_00003791", "prompt": "Compute: -3 / (-51 - (-37 + (-18)))", "solution_steps": ["Add: -37 + (-18) = -55", "Subtract: -51 - (-55) = 4", "Divide: -3 / 4 = -3/4"], "final_answer": "-3/4", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-51 - (-37 + (-18)))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -51, \"c\": -37, \"d\": -18}", "seed": "8629765096675410476", "semantic_fingerprint": "sha256:46f36faf0aed67b060e73413fdfd807e8587facc2eebb72f1b5b822baa268d8a", "generator_version": "3.0"}
{"id": "v3_val_00003792", "prompt": "What is (-6 + 0) / (-4)?", "solution_steps": ["Add: -6 + 0 = -6", "Divide: -6 / (-4) = 3/2"], "final_answer": "3/2", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + 0) / (-4)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 0, \"c\": -4}", "seed": "9467314015182679600", "semantic_fingerprint": "sha256:1987e5f55c33d71c9fdde11168dc1077dfeaa86598656ec55b2aed7c38f8f6f9", "generator_version": "3.0"}
{"id": "v3_val_00003793", "prompt": "Compute: 462 - (-520) + (-784)", "solution_steps": ["Subtract: 462 - (-520) = 982", "Add: 982 + (-784) = 198"], "final_answer": "198", "answer_type": "integer", "kind": "expression", "math_text": "462 - (-520) + (-784)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 462, \"b\": -520, \"c\": -784}", "seed": "14945294683464727898", "semantic_fingerprint": "sha256:c0a9ed61be140f34feec4c7b6811774e0a30c6be95ffb21c2140867d49a87128", "generator_version": "3.0"}
{"id": "v3_val_00003794", "prompt": "What value of x satisfies -3(x + 586) = -10(x - 2)?", "solution_steps": ["Expand: -3x - 1758 = -10(x - 2)", "Expand: -3x - 1758 = -10x + 20", "Add 10x to both sides: 7x - 1758 = 20", "Add 1758 to both sides: 7x = 1778", "Divide both sides by 7: x = 254"], "final_answer": "254", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 586) = -10(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 586, \"c\": -10, \"d\": 2}", "seed": "15075254270636100539", "semantic_fingerprint": "sha256:266a9126981b706f60a81760d89c6dcdb86468f0c07080f5d4efd0b666cd01a2", "generator_version": "3.0"}
{"id": "v3_val_00003795", "prompt": "Compute: 62 * (-46) - 81 / (4 / 31)", "solution_steps": ["Multiply: 62 * (-46) = -2852", "Divide: 4 / 31 = 4/31", "Divide: 81 / (4/31) = 2511/4", "Subtract: -2852 - 2511/4 = -13919/4"], "final_answer": "-13919/4", "answer_type": "rational", "kind": "expression", "math_text": "62 * (-46) - 81 / (4 / 31)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -46, \"c\": 81, \"d\": 4, \"e\": 31}", "seed": "8200908709227587851", "semantic_fingerprint": "sha256:df371d1d0c572e33675c5796ad800a67e2a0eede7d1ef8ab3d22b16c80521eed", "generator_version": "3.0"}
{"id": "v3_val_00003796", "prompt": "Compute: 59 - (-418 + 32)", "solution_steps": ["Add: -418 + 32 = -386", "Subtract: 59 - (-386) = 445"], "final_answer": "445", "answer_type": "integer", "kind": "expression", "math_text": "59 - (-418 + 32)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -418, \"c\": 32}", "seed": "8701176372634247096", "semantic_fingerprint": "sha256:74b2f9c997074a90a3d5bd5e3ecc10245e08f8c4c6cd74b6cb1be122d54eb6c5", "generator_version": "3.0"}
{"id": "v3_val_00003797", "prompt": "Find x: -10(x + 39) - 34 = x", "solution_steps": ["Expand: -10x - 390 - 34 = x", "Combine constants: -10x - 424 = x", "Subtract x from both sides: -11x - 424 = 0", "Add 424 to both sides: -11x = 424", "Divide both sides by -11: x = -424/11"], "final_answer": "-424/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 39) - 34 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 39, \"c\": 34}", "seed": "14191277186862296717", "semantic_fingerprint": "sha256:a37c566b7e5c0b2da59c5f9b99b967a7f7e172fc2b3ff944fda6206024be16bd", "generator_version": "3.0"}
{"id": "v3_val_00003798", "prompt": "Compute: -91 + (-71) / 8", "solution_steps": ["Divide: -71 / 8 = -71/8", "Add: -91 + (-71/8) = -799/8"], "final_answer": "-799/8", "answer_type": "rational", "kind": "expression", "math_text": "-91 + (-71) / 8", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -71, \"c\": 8}", "seed": "16879454139939097575", "semantic_fingerprint": "sha256:d3642a012adbc1cdf195815b98b23bc4699e67dd0eb22fc9b2e78fef708123fd", "generator_version": "3.0"}
{"id": "v3_val_00003799", "prompt": "What is 374 - (-58 - 8) + 339?", "solution_steps": ["Subtract: -58 - 8 = -66", "Subtract: 374 - (-66) = 440", "Add: 440 + 339 = 779"], "final_answer": "779", "answer_type": "integer", "kind": "expression", "math_text": "374 - (-58 - 8) + 339", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 374, \"b\": -58, \"c\": 8, \"d\": 339}", "seed": "15180367591565471907", "semantic_fingerprint": "sha256:98b4db4c72d5bf1d2e673e3d2bb83e5cb69c17738d9d2f5eeae0ffedcab57d0c", "generator_version": "3.0"}
{"id": "v3_val_00003800", "prompt": "Calculate: -4 - (-10)", "solution_steps": ["Subtract: -4 - (-10) = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-10)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -10}", "seed": "16710678472413646577", "semantic_fingerprint": "sha256:38824c3684b1820168b372539ae4b0d36e0f8c2a6fd70cae7e392d81bf19e0a9", "generator_version": "3.0"}
{"id": "v3_val_00003801", "prompt": "Compute: -34 / (-9) - 869 * (0 / (-3) - 55)", "solution_steps": ["Divide: -34 / (-9) = 34/9", "Divide: 0 / (-3) = 0", "Subtract: 0 - 55 = -55", "Multiply: 869 * (-55) = -47795", "Subtract: 34/9 - (-47795) = 430189/9"], "final_answer": "430189/9", "answer_type": "rational", "kind": "expression", "math_text": "-34 / (-9) - 869 * (0 / (-3) - 55)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (* n (- (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -9, \"c\": 869, \"d\": 0, \"e\": -3, \"f\": 55}", "seed": "7141711985831306707", "semantic_fingerprint": "sha256:75117a3105f7206dee59ed5477ce0ae9bdd4e8a0315d96433e21a6e9f0544ab2", "generator_version": "3.0"}
{"id": "v3_val_00003802", "prompt": "Solve for x: x + 97 = 97", "solution_steps": ["Subtract 97 from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 97 = 97", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 97, \"c\": 97, \"x\": 0}", "seed": "8277063366782650966", "semantic_fingerprint": "sha256:03b23272ef5a96f5ca4ea3b8d529e8d488aff33f06e832f2ec48f6c065311caf", "generator_version": "3.0"}
{"id": "v3_val_00003803", "prompt": "Compute: -1 * 22 - (-82)", "solution_steps": ["Multiply: -1 * 22 = -22", "Subtract: -22 - (-82) = 60"], "final_answer": "60", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 22 - (-82)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 22, \"c\": -82}", "seed": "9663751702901902948", "semantic_fingerprint": "sha256:1293252aebb87ed67a9d4bcacc3232a9a594d918375f62af88e4b70b1435b4c3", "generator_version": "3.0"}
{"id": "v3_val_00003804", "prompt": "What is -43 / 671 - 5?", "solution_steps": ["Divide: -43 / 671 = -43/671", "Subtract: -43/671 - 5 = -3398/671"], "final_answer": "-3398/671", "answer_type": "rational", "kind": "expression", "math_text": "-43 / 671 - 5", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 671, \"c\": 5}", "seed": "17162534526737241088", "semantic_fingerprint": "sha256:c60df9ff0b021ce99db9bc393da6d8e62e1c0b945f7e7d720324c50ca04d17a8", "generator_version": "3.0"}
{"id": "v3_val_00003805", "prompt": "Evaluate: 35 - (-559)", "solution_steps": ["Subtract: 35 - (-559) = 594"], "final_answer": "594", "answer_type": "integer", "kind": "expression", "math_text": "35 - (-559)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -559}", "seed": "15407657234964526382", "semantic_fingerprint": "sha256:f4d899fc8b0a9e47a9f099e5998b0ea9bf80ea5f3b458719b393a62fc87b89dd", "generator_version": "3.0"}
{"id": "v3_val_00003806", "prompt": "What is 16 - (-7 - 72)?", "solution_steps": ["Subtract: -7 - 72 = -79", "Subtract: 16 - (-79) = 95"], "final_answer": "95", "answer_type": "integer", "kind": "expression", "math_text": "16 - (-7 - 72)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": -7, \"c\": 72}", "seed": "17365727795714010499", "semantic_fingerprint": "sha256:b3e274a59e9f57b9ae08beb064f51ac0748d51d0dbbca5333a8e0c232f9a4052", "generator_version": "3.0"}
{"id": "v3_val_00003807", "prompt": "Solve the equation 4(x + 15) + 9 = 6(x - 2) for x.", "solution_steps": ["Expand: 4x + 60 + 9 = 6(x - 2)", "Expand: 4x + 60 + 9 = 6x - 12", "Combine constants: 4x + 69 = 6x - 12", "Subtract 6x from both sides: -2x + 69 = -12", "Subtract 69 from both sides: -2x = -81", "Divide both sides by -2: x = 81/2"], "final_answer": "81/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 15) + 9 = 6(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 15, \"c\": 9, \"d\": 6, \"e\": 2}", "seed": "5779036705791723054", "semantic_fingerprint": "sha256:51303d5ccd95eec4309cc23c127cd56ccbf0670902ecd1f23f305028ff5750dc", "generator_version": "3.0"}
{"id": "v3_val_00003808", "prompt": "Compute: 84 - (-10)", "solution_steps": ["Subtract: 84 - (-10) = 94"], "final_answer": "94", "answer_type": "integer", "kind": "expression", "math_text": "84 - (-10)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -10}", "seed": "6653476279293162343", "semantic_fingerprint": "sha256:7649f2d597c1b3aa0567e6491d45f27747f646041c36926856598a491ec1ac60", "generator_version": "3.0"}
{"id": "v3_val_00003809", "prompt": "Calculate: 923 - (-17) - 286", "solution_steps": ["Subtract: 923 - (-17) = 940", "Subtract: 940 - 286 = 654"], "final_answer": "654", "answer_type": "integer", "kind": "expression", "math_text": "923 - (-17) - 286", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 923, \"b\": -17, \"c\": 286}", "seed": "4316903965393315434", "semantic_fingerprint": "sha256:de00dac9e29e20f898cf1069b1b32cef0d6dfad7362d5455248841ce0ce16a71", "generator_version": "3.0"}
{"id": "v3_val_00003810", "prompt": "Evaluate: -384 / (30 + (-70 - 27))", "solution_steps": ["Subtract: -70 - 27 = -97", "Add: 30 + (-97) = -67", "Divide: -384 / (-67) = 384/67"], "final_answer": "384/67", "answer_type": "rational", "kind": "expression", "math_text": "-384 / (30 + (-70 - 27))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -384, \"b\": 30, \"c\": -70, \"d\": 27}", "seed": "560733653713481545", "semantic_fingerprint": "sha256:9deb61a5aef5210b5ca21a1e87c5851a5a7ebb4a95b604cc3ecd83e35901e14b", "generator_version": "3.0"}
{"id": "v3_val_00003811", "prompt": "Evaluate: (-65 / 7 * (-73) - (-58)) * (63 + (-141))", "solution_steps": ["Divide: -65 / 7 = -65/7", "Multiply: (-65/7) * (-73) = 4745/7", "Subtract: 4745/7 - (-58) = 5151/7", "Add: 63 + (-141) = -78", "Multiply: (5151/7) * (-78) = -401778/7"], "final_answer": "-401778/7", "answer_type": "rational", "kind": "expression", "math_text": "(-65 / 7 * (-73) - (-58)) * (63 + (-141))", "variable": null, "family": "expression_5op", "shape": "(* (- (* (/ n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 7, \"c\": -73, \"d\": -58, \"e\": 63, \"f\": -141}", "seed": "10394337211458559486", "semantic_fingerprint": "sha256:6d12b1ae1752aeea3c37400ef3f70d471095a18b1e356a9bc98dc28f6a934773", "generator_version": "3.0"}
{"id": "v3_val_00003812", "prompt": "What value of x satisfies 7x = -5x + 120?", "solution_steps": ["Add 5x to both sides: 12x = 120", "Divide both sides by 12: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -5x + 120", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -5, \"d\": 120, \"x\": 10}", "seed": "15578116294735006735", "semantic_fingerprint": "sha256:5b364bab84c57b959dd27ca8549ae8a8ba6a7b55dbd37094bec05881351ec17f", "generator_version": "3.0"}
{"id": "v3_val_00003813", "prompt": "Calculate: -26 + (3 - (-8 - (-38)))", "solution_steps": ["Subtract: -8 - (-38) = 30", "Subtract: 3 - 30 = -27", "Add: -26 + (-27) = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "expression", "math_text": "-26 + (3 - (-8 - (-38)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 3, \"c\": -8, \"d\": -38}", "seed": "5784947011612290850", "semantic_fingerprint": "sha256:4445d675fae2cd96fe3175e55e18f3f93d5f476e271d9fc07bdf052cee6d0a11", "generator_version": "3.0"}
{"id": "v3_val_00003814", "prompt": "Compute: 7 / (-500 - 2) + (-813)", "solution_steps": ["Subtract: -500 - 2 = -502", "Divide: 7 / (-502) = -7/502", "Add: -7/502 + (-813) = -408133/502"], "final_answer": "-408133/502", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-500 - 2) + (-813)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -500, \"c\": 2, \"d\": -813}", "seed": "8738130316868605092", "semantic_fingerprint": "sha256:a0008548faf42fd51435567414001ce652dabed63445ad506f7526814ef440c3", "generator_version": "3.0"}
{"id": "v3_val_00003815", "prompt": "Evaluate: -3 * (-53) * (-5 + (-56) / 77)", "solution_steps": ["Multiply: -3 * (-53) = 159", "Divide: -56 / 77 = -8/11", "Add: -5 + (-8/11) = -63/11", "Multiply: 159 * (-63/11) = -10017/11"], "final_answer": "-10017/11", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-53) * (-5 + (-56) / 77)", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -53, \"c\": -5, \"d\": -56, \"e\": 77}", "seed": "733479075508088958", "semantic_fingerprint": "sha256:28be62b4d0a5f1425a83521dfa9c8c5460d7a60517a0a86c55013a6cd156a2b3", "generator_version": "3.0"}
{"id": "v3_val_00003816", "prompt": "Compute: -679 / (711 - 63)", "solution_steps": ["Subtract: 711 - 63 = 648", "Divide: -679 / 648 = -679/648"], "final_answer": "-679/648", "answer_type": "rational", "kind": "expression", "math_text": "-679 / (711 - 63)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -679, \"b\": 711, \"c\": 63}", "seed": "4878847616812799739", "semantic_fingerprint": "sha256:d15b6280c5b0d28192271bcf32566e5875522cdb67993fd4c1d1ae8f43fec870", "generator_version": "3.0"}
{"id": "v3_val_00003817", "prompt": "What is (-955 - (-2)) * (-3) + (-66 * 25 - (-806))?", "solution_steps": ["Subtract: -955 - (-2) = -953", "Multiply: -953 * (-3) = 2859", "Multiply: -66 * 25 = -1650", "Subtract: -1650 - (-806) = -844", "Add: 2859 + (-844) = 2015"], "final_answer": "2015", "answer_type": "integer", "kind": "expression", "math_text": "(-955 - (-2)) * (-3) + (-66 * 25 - (-806))", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -955, \"b\": -2, \"c\": -3, \"d\": -66, \"e\": 25, \"f\": -806}", "seed": "13911222844271468083", "semantic_fingerprint": "sha256:43955ddf779b315f761115fd00d714e8a1b298668a9daad905213e680112792c", "generator_version": "3.0"}
{"id": "v3_val_00003818", "prompt": "Evaluate: -7 - (37 - (-2))", "solution_steps": ["Subtract: 37 - (-2) = 39", "Subtract: -7 - 39 = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (37 - (-2))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 37, \"c\": -2}", "seed": "17071797979277539177", "semantic_fingerprint": "sha256:5c52bbc7ea9c285b4bc6a78daccab484d7d33be3eb9dd4455cb27e638820cfa6", "generator_version": "3.0"}
{"id": "v3_val_00003819", "prompt": "Calculate: 51 - (-80 * (-1) - (-17) + 967)", "solution_steps": ["Multiply: -80 * (-1) = 80", "Subtract: 80 - (-17) = 97", "Add: 97 + 967 = 1064", "Subtract: 51 - 1064 = -1013"], "final_answer": "-1013", "answer_type": "integer", "kind": "expression", "math_text": "51 - (-80 * (-1) - (-17) + 967)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -80, \"c\": -1, \"d\": -17, \"e\": 967}", "seed": "12388945806614145199", "semantic_fingerprint": "sha256:34ce8ccafb80fa58198048cc950bed810681d08712e63dc60bf44187d0c8e9b1", "generator_version": "3.0"}
{"id": "v3_val_00003820", "prompt": "Solve for x: x - 5 = -3(x - 5)", "solution_steps": ["Expand: x - 5 = -3x + 15", "Add 3x to both sides: 4x - 5 = 15", "Add 5 to both sides: 4x = 20", "Divide both sides by 4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = -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\": -5, \"x\": 5}", "seed": "17550725073570042425", "semantic_fingerprint": "sha256:7573dced369c295b31111c5b0d634b06ec5c96b011f3dedcd943243cb456f798", "generator_version": "3.0"}
{"id": "v3_val_00003821", "prompt": "Compute: -49 / 6", "solution_steps": ["Divide: -49 / 6 = -49/6"], "final_answer": "-49/6", "answer_type": "rational", "kind": "expression", "math_text": "-49 / 6", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 6}", "seed": "10698222536350373429", "semantic_fingerprint": "sha256:7bdd5b3bd710917d73336ffa1ad0b2e29644a6b514a351b2812a0c4d7a861c73", "generator_version": "3.0"}
{"id": "v3_val_00003822", "prompt": "Find x: 7x = 6x", "solution_steps": ["Subtract 6x from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 6x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6}", "seed": "236658655624012240", "semantic_fingerprint": "sha256:92b196de2a136024d716f44c6e31cf2b02241a58127949acf75dc6987d0e2ee9", "generator_version": "3.0"}
{"id": "v3_val_00003823", "prompt": "Evaluate: 73 / (-7 / (137 / (-2)))", "solution_steps": ["Divide: 137 / (-2) = -137/2", "Divide: -7 / (-137/2) = 14/137", "Divide: 73 / (14/137) = 10001/14"], "final_answer": "10001/14", "answer_type": "rational", "kind": "expression", "math_text": "73 / (-7 / (137 / (-2)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -7, \"c\": 137, \"d\": -2}", "seed": "3526057664870873621", "semantic_fingerprint": "sha256:9545e3469a2ffa2e24aa50d0f58a3b5a01a97d5ed2bc378edf6fe5e3b9337997", "generator_version": "3.0"}
{"id": "v3_val_00003824", "prompt": "Evaluate: 975 + (60 - (-46)) * 6 / 91", "solution_steps": ["Subtract: 60 - (-46) = 106", "Multiply: 106 * 6 = 636", "Divide: 636 / 91 = 636/91", "Add: 975 + 636/91 = 89361/91"], "final_answer": "89361/91", "answer_type": "rational", "kind": "expression", "math_text": "975 + (60 - (-46)) * 6 / 91", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 975, \"b\": 60, \"c\": -46, \"d\": 6, \"e\": 91}", "seed": "11694200098893010125", "semantic_fingerprint": "sha256:f861f4a2bb8c5cb8afbc247cd8bf17c27f8b8aff9f3763bfec6dfc6a02116e8f", "generator_version": "3.0"}
{"id": "v3_val_00003825", "prompt": "Calculate: 712 - (-865) / (-68)", "solution_steps": ["Divide: -865 / (-68) = 865/68", "Subtract: 712 - 865/68 = 47551/68"], "final_answer": "47551/68", "answer_type": "rational", "kind": "expression", "math_text": "712 - (-865) / (-68)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 712, \"b\": -865, \"c\": -68}", "seed": "17642393526311105555", "semantic_fingerprint": "sha256:3f2f9212aac9876feb1283025a4f90b278bb2e3f2d8a82cc2f185eb9b88d3123", "generator_version": "3.0"}
{"id": "v3_val_00003826", "prompt": "Calculate: -13 / 27 * (-55) * 33", "solution_steps": ["Divide: -13 / 27 = -13/27", "Multiply: (-13/27) * (-55) = 715/27", "Multiply: (715/27) * 33 = 7865/9"], "final_answer": "7865/9", "answer_type": "rational", "kind": "expression", "math_text": "-13 / 27 * (-55) * 33", "variable": null, "family": "expression_3op", "shape": "(* (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 27, \"c\": -55, \"d\": 33}", "seed": "4379054153283004708", "semantic_fingerprint": "sha256:66bcb8985f4c377c8d8ce4d9ff9b10acb2e6f688afdca4cb980c1b4b470b0621", "generator_version": "3.0"}
{"id": "v3_val_00003827", "prompt": "Calculate: (0 - 82) / (-427 * (-3 / 4))", "solution_steps": ["Subtract: 0 - 82 = -82", "Divide: -3 / 4 = -3/4", "Multiply: -427 * (-3/4) = 1281/4", "Divide: -82 / (1281/4) = -328/1281"], "final_answer": "-328/1281", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 82) / (-427 * (-3 / 4))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 82, \"c\": -427, \"d\": -3, \"e\": 4}", "seed": "5002737956614784354", "semantic_fingerprint": "sha256:ce28053c8b43b1d43380fba9a0719bbc5cb81011c7095a08375371c0bccda5da", "generator_version": "3.0"}
{"id": "v3_val_00003828", "prompt": "Solve for x: -7(x - 8) = 4(x + 161)", "solution_steps": ["Expand: -7x + 56 = 4(x + 161)", "Expand: -7x + 56 = 4x + 644", "Subtract 4x from both sides: -11x + 56 = 644", "Subtract 56 from both sides: -11x = 588", "Divide both sides by -11: x = -588/11"], "final_answer": "-588/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 8) = 4(x + 161)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 4, \"d\": 161}", "seed": "17186804021232699555", "semantic_fingerprint": "sha256:8532b1b697af8e331d8dfd80b2b4f344018b37d8c4c68df3a5eb730a8f16e4c7", "generator_version": "3.0"}
{"id": "v3_val_00003829", "prompt": "Find x: 7(x + 12) - 27 = 3x + 3", "solution_steps": ["Expand: 7x + 84 - 27 = 3x + 3", "Combine constants: 7x + 57 = 3x + 3", "Subtract 3x from both sides: 4x + 57 = 3", "Subtract 57 from both sides: 4x = -54", "Divide both sides by 4: x = -27/2"], "final_answer": "-27/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 12) - 27 = 3x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 27, \"d\": 3, \"e\": 3}", "seed": "10375265680653478926", "semantic_fingerprint": "sha256:d64664b645df56d5dbf9208e1887643ae0296c0ae641d25f4b4498a4acc19c3b", "generator_version": "3.0"}
{"id": "v3_val_00003830", "prompt": "What value of x satisfies -6x = 4(x - 415)?", "solution_steps": ["Expand: -6x = 4x - 1660", "Subtract 4x from both sides: -10x = -1660", "Divide both sides by -10: x = 166"], "final_answer": "166", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = 4(x - 415)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 415}", "seed": "15879919212807728047", "semantic_fingerprint": "sha256:dfbba84e1d796b6b21e79c05c7236d711678cf54682ee79bf077fd6cd2f820ea", "generator_version": "3.0"}
{"id": "v3_val_00003831", "prompt": "Solve the equation x = 12(x - 3) for x.", "solution_steps": ["Expand: x = 12x - 36", "Subtract 12x from both sides: -11x = -36", "Divide both sides by -11: x = 36/11"], "final_answer": "36/11", "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": "15888882106935554068", "semantic_fingerprint": "sha256:f5e9fd1c968a80776e648418f63c24f2e0fb68b036bff039d3e07e5cd7030158", "generator_version": "3.0"}
{"id": "v3_val_00003832", "prompt": "Compute: 3 - (-86 + 2 * 268) + (-531) * (-61)", "solution_steps": ["Multiply: 2 * 268 = 536", "Add: -86 + 536 = 450", "Subtract: 3 - 450 = -447", "Multiply: -531 * (-61) = 32391", "Add: -447 + 32391 = 31944"], "final_answer": "31944", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-86 + 2 * 268) + (-531) * (-61)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ n (* n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -86, \"c\": 2, \"d\": 268, \"e\": -531, \"f\": -61}", "seed": "8027026890468028711", "semantic_fingerprint": "sha256:cc2e0e140ce293c3d7dc747c729306fbfc920df9a6f8a6cedc217c5ac3e08871", "generator_version": "3.0"}
{"id": "v3_val_00003833", "prompt": "What is -9 - 5?", "solution_steps": ["Subtract: -9 - 5 = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "expression", "math_text": "-9 - 5", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5}", "seed": "15917040274654953640", "semantic_fingerprint": "sha256:212509900f7eaa97eda8c152c0af1af4e54f285152b21f3f51761e02ef862966", "generator_version": "3.0"}
{"id": "v3_val_00003834", "prompt": "Compute: 4 * 61 + (-811) - 0", "solution_steps": ["Multiply: 4 * 61 = 244", "Add: 244 + (-811) = -567", "Subtract: -567 - 0 = -567"], "final_answer": "-567", "answer_type": "integer", "kind": "expression", "math_text": "4 * 61 + (-811) - 0", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 61, \"c\": -811, \"d\": 0}", "seed": "13755073442888538581", "semantic_fingerprint": "sha256:7ea7f852ed5f584054c07969e1913b99c11aef638caf0008878acdda338ecbd3", "generator_version": "3.0"}
{"id": "v3_val_00003835", "prompt": "Solve for x: 4x = 11(x - 9) + 511", "solution_steps": ["Expand: 4x = 11x - 99 + 511", "Combine constants: 4x = 11x + 412", "Subtract 11x from both sides: -7x = 412", "Divide both sides by -7: x = -412/7"], "final_answer": "-412/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = 11(x - 9) + 511", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 11, \"c\": 9, \"d\": 511}", "seed": "14427756220789504842", "semantic_fingerprint": "sha256:a21b419cd5b6d747e0edc7e346e7f2106cb1d8e9fcd987765476436641e28d8f", "generator_version": "3.0"}
{"id": "v3_val_00003836", "prompt": "What is 99 + (-6) / (-1) / (2 - (-65))?", "solution_steps": ["Divide: -6 / (-1) = 6", "Subtract: 2 - (-65) = 67", "Divide: 6 / 67 = 6/67", "Add: 99 + 6/67 = 6639/67"], "final_answer": "6639/67", "answer_type": "rational", "kind": "expression", "math_text": "99 + (-6) / (-1) / (2 - (-65))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -6, \"c\": -1, \"d\": 2, \"e\": -65}", "seed": "1486770357647305995", "semantic_fingerprint": "sha256:b65df6973fb5459e011bc44a7ca3b37da610b660abcd7991a447d2dffeed0007", "generator_version": "3.0"}
{"id": "v3_val_00003837", "prompt": "Calculate: -224 - 97", "solution_steps": ["Subtract: -224 - 97 = -321"], "final_answer": "-321", "answer_type": "integer", "kind": "expression", "math_text": "-224 - 97", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -224, \"b\": 97}", "seed": "5591725978521046946", "semantic_fingerprint": "sha256:fea41997818fba6e5b48f5871d79e8931bc94f3fb05986304875cee9c950415d", "generator_version": "3.0"}
{"id": "v3_val_00003838", "prompt": "Evaluate: 185 / 94 * (-52) * (54 / 84)", "solution_steps": ["Divide: 185 / 94 = 185/94", "Multiply: (185/94) * (-52) = -4810/47", "Divide: 54 / 84 = 9/14", "Multiply: (-4810/47) * (9/14) = -21645/329"], "final_answer": "-21645/329", "answer_type": "rational", "kind": "expression", "math_text": "185 / 94 * (-52) * (54 / 84)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 185, \"b\": 94, \"c\": -52, \"d\": 54, \"e\": 84}", "seed": "8263046761549871097", "semantic_fingerprint": "sha256:2ce324924589820398f55c88d824075bbb1340a975ec8a97bb27b93348e2073a", "generator_version": "3.0"}
{"id": "v3_val_00003839", "prompt": "What is -7 / (-2) + 2 - (-9 + 4)?", "solution_steps": ["Divide: -7 / (-2) = 7/2", "Add: 7/2 + 2 = 11/2", "Add: -9 + 4 = -5", "Subtract: 11/2 - (-5) = 21/2"], "final_answer": "21/2", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-2) + 2 - (-9 + 4)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -2, \"c\": 2, \"d\": -9, \"e\": 4}", "seed": "3859175878745070967", "semantic_fingerprint": "sha256:10ce68991f7ae61fce66dd8c20492d881740691c2e47521498b971e532f9a19b", "generator_version": "3.0"}
{"id": "v3_val_00003840", "prompt": "Find x: 3x - 56 = x", "solution_steps": ["Subtract x from both sides: 2x - 56 = 0", "Add 56 to both sides: 2x = 56", "Divide both sides by 2: x = 28"], "final_answer": "28", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 56 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 56}", "seed": "16343204518057431970", "semantic_fingerprint": "sha256:48dd33a69f76d3d815d81863cad4218cdc8d01dd941f3acd4859280b0933e500", "generator_version": "3.0"}
{"id": "v3_val_00003841", "prompt": "Compute: 74 + (-88 - 3) * 6", "solution_steps": ["Subtract: -88 - 3 = -91", "Multiply: -91 * 6 = -546", "Add: 74 + (-546) = -472"], "final_answer": "-472", "answer_type": "integer", "kind": "expression", "math_text": "74 + (-88 - 3) * 6", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -88, \"c\": 3, \"d\": 6}", "seed": "11105285134468885719", "semantic_fingerprint": "sha256:b03c8bc4ab076c67815e52ca4401a0901598b81d0f072cfcf2eaf128dc5c1cba", "generator_version": "3.0"}
{"id": "v3_val_00003842", "prompt": "Evaluate: 3 * 71 / (404 * 9)", "solution_steps": ["Multiply: 3 * 71 = 213", "Multiply: 404 * 9 = 3636", "Divide: 213 / 3636 = 71/1212"], "final_answer": "71/1212", "answer_type": "rational", "kind": "expression", "math_text": "3 * 71 / (404 * 9)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 71, \"c\": 404, \"d\": 9}", "seed": "11361818174608983441", "semantic_fingerprint": "sha256:6dc83c66f056c5934e6df3bb751208aad01cee3ac9e738ce466f6388885a3b80", "generator_version": "3.0"}
{"id": "v3_val_00003843", "prompt": "Solve the equation 6x + 2 = 3(x + 4) + 84 for x.", "solution_steps": ["Expand: 6x + 2 = 3x + 12 + 84", "Combine constants: 6x + 2 = 3x + 96", "Subtract 3x from both sides: 3x + 2 = 96", "Subtract 2 from both sides: 3x = 94", "Divide both sides by 3: x = 94/3"], "final_answer": "94/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x + 2 = 3(x + 4) + 84", "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\": 4, \"e\": 84}", "seed": "3035288198865301417", "semantic_fingerprint": "sha256:1faa47ea6a6aa7467fd13e58ab184496d70c1b30846055fc6de123873290cd47", "generator_version": "3.0"}
{"id": "v3_val_00003844", "prompt": "What value of x satisfies -3(x + 474) = -9(x - 443)?", "solution_steps": ["Expand: -3x - 1422 = -9(x - 443)", "Expand: -3x - 1422 = -9x + 3987", "Add 9x to both sides: 6x - 1422 = 3987", "Add 1422 to both sides: 6x = 5409", "Divide both sides by 6: x = 1803/2"], "final_answer": "1803/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 474) = -9(x - 443)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 474, \"c\": -9, \"d\": 443}", "seed": "3029533165992077764", "semantic_fingerprint": "sha256:5347f92b29448f8cf47a1c086ec9a20b065115c7761d818665fcb301c932df14", "generator_version": "3.0"}
{"id": "v3_val_00003845", "prompt": "What is 81 / 57 - (-7 - (-49))?", "solution_steps": ["Divide: 81 / 57 = 27/19", "Subtract: -7 - (-49) = 42", "Subtract: 27/19 - 42 = -771/19"], "final_answer": "-771/19", "answer_type": "rational", "kind": "expression", "math_text": "81 / 57 - (-7 - (-49))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 57, \"c\": -7, \"d\": -49}", "seed": "4943489027807663008", "semantic_fingerprint": "sha256:3d180204807992682a5d36b26459af2e9e70451681a611ebc29fa1146683c7e2", "generator_version": "3.0"}
{"id": "v3_val_00003846", "prompt": "Evaluate: -70 / 9", "solution_steps": ["Divide: -70 / 9 = -70/9"], "final_answer": "-70/9", "answer_type": "rational", "kind": "expression", "math_text": "-70 / 9", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 9}", "seed": "6589445176492266991", "semantic_fingerprint": "sha256:152c1c9516893208a02716f4db33da03646162a3896f3ed04038ba9e8932b083", "generator_version": "3.0"}
{"id": "v3_val_00003847", "prompt": "Compute: 54 + 90 + 91", "solution_steps": ["Add: 54 + 90 = 144", "Add: 144 + 91 = 235"], "final_answer": "235", "answer_type": "integer", "kind": "expression", "math_text": "54 + 90 + 91", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 90, \"c\": 91}", "seed": "17243213499414955788", "semantic_fingerprint": "sha256:d2f674af7c4db8eeaadae33c71af8478d62a8872df69e30fe177499abb15d785", "generator_version": "3.0"}
{"id": "v3_val_00003848", "prompt": "Find x: 7(x - 2) = -10(x + 5)", "solution_steps": ["Expand: 7x - 14 = -10(x + 5)", "Expand: 7x - 14 = -10x - 50", "Add 10x to both sides: 17x - 14 = -50", "Add 14 to both sides: 17x = -36", "Divide both sides by 17: x = -36/17"], "final_answer": "-36/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 2) = -10(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": -10, \"d\": 5}", "seed": "11252198906975412435", "semantic_fingerprint": "sha256:afd8a7b0e68fba4ff412a81d7942fcaabe605dc3c011e0e829dace237e448de8", "generator_version": "3.0"}
{"id": "v3_val_00003849", "prompt": "Find x: -9(x - 747) - 590 = 11x", "solution_steps": ["Expand: -9x + 6723 - 590 = 11x", "Combine constants: -9x + 6133 = 11x", "Subtract 11x from both sides: -20x + 6133 = 0", "Subtract 6133 from both sides: -20x = -6133", "Divide both sides by -20: x = 6133/20"], "final_answer": "6133/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 747) - 590 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 747, \"c\": 590, \"d\": 11}", "seed": "2240792606954570060", "semantic_fingerprint": "sha256:4b89a51392128d2f9ec4a883ab663d027e95793369b661b44aa80ecd7c8e30cc", "generator_version": "3.0"}
{"id": "v3_val_00003850", "prompt": "What is -1 * 65 / 62 - 72?", "solution_steps": ["Multiply: -1 * 65 = -65", "Divide: -65 / 62 = -65/62", "Subtract: -65/62 - 72 = -4529/62"], "final_answer": "-4529/62", "answer_type": "rational", "kind": "expression", "math_text": "-1 * 65 / 62 - 72", "variable": null, "family": "expression_3op", "shape": "(- (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 65, \"c\": 62, \"d\": 72}", "seed": "3459880641055764895", "semantic_fingerprint": "sha256:1d5e00b6cdd03cfab6f27613d2dc3ed95452a6b62deec243301e76f8c5999201", "generator_version": "3.0"}
{"id": "v3_val_00003851", "prompt": "Solve for x: 6(x + 1) = 2x", "solution_steps": ["Expand: 6x + 6 = 2x", "Subtract 2x from both sides: 4x + 6 = 0", "Subtract 6 from both sides: 4x = -6", "Divide both sides by 4: x = -3/2"], "final_answer": "-3/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 1) = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 2}", "seed": "3471161044155884036", "semantic_fingerprint": "sha256:14ee4241deb214736f6aff2734405765e37df517ea352ecee7d41a7d9f09004e", "generator_version": "3.0"}
{"id": "v3_val_00003852", "prompt": "Find x: -2(x + 68) - 9 = 10(x - 2) - 305", "solution_steps": ["Expand: -2x - 136 - 9 = 10(x - 2) - 305", "Expand: -2x - 136 - 9 = 10x - 20 - 305", "Combine constants: -2x - 145 = 10x - 20 - 305", "Combine constants: -2x - 145 = 10x - 325", "Subtract 10x from both sides: -12x - 145 = -325", "Add 145 to both sides: -12x = -180", "Divide both sides by -12: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 68) - 9 = 10(x - 2) - 305", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 68, \"c\": 9, \"d\": 10, \"e\": 2, \"g\": -305, \"x\": 15}", "seed": "2624161970966447907", "semantic_fingerprint": "sha256:b05dbe2cad1bcdb6d2d3ac39882bbc802a24993e7ea87c1f844ca951f2d9bf4e", "generator_version": "3.0"}
{"id": "v3_val_00003853", "prompt": "Evaluate: -2 + (-96 + 270 * 3 * 82)", "solution_steps": ["Multiply: 270 * 3 = 810", "Multiply: 810 * 82 = 66420", "Add: -96 + 66420 = 66324", "Add: -2 + 66324 = 66322"], "final_answer": "66322", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-96 + 270 * 3 * 82)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (* (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -96, \"c\": 270, \"d\": 3, \"e\": 82}", "seed": "17643338102229780748", "semantic_fingerprint": "sha256:0dac659fa8e8da668432c189acb45a8d138bc45c101ac96a45947df5c27ecad8", "generator_version": "3.0"}
{"id": "v3_val_00003854", "prompt": "Calculate: 880 / (-3 * 212)", "solution_steps": ["Multiply: -3 * 212 = -636", "Divide: 880 / (-636) = -220/159"], "final_answer": "-220/159", "answer_type": "rational", "kind": "expression", "math_text": "880 / (-3 * 212)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 880, \"b\": -3, \"c\": 212}", "seed": "4735747126257800783", "semantic_fingerprint": "sha256:c92d8843360ef948fd44cfa37c328c1711a37629e1d5f563da04686dced71f56", "generator_version": "3.0"}
{"id": "v3_val_00003855", "prompt": "Calculate: -75 * (406 / 29 * (-16 + 79))", "solution_steps": ["Divide: 406 / 29 = 14", "Add: -16 + 79 = 63", "Multiply: 14 * 63 = 882", "Multiply: -75 * 882 = -66150"], "final_answer": "-66150", "answer_type": "integer", "kind": "expression", "math_text": "-75 * (406 / 29 * (-16 + 79))", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 406, \"c\": 29, \"d\": -16, \"e\": 79}", "seed": "17980677959285610719", "semantic_fingerprint": "sha256:38b65de9ea9fd536852e516fa591987e223835585cf16e4879c0aa021405115b", "generator_version": "3.0"}
{"id": "v3_val_00003856", "prompt": "What is -4 + (-90) * 53?", "solution_steps": ["Multiply: -90 * 53 = -4770", "Add: -4 + (-4770) = -4774"], "final_answer": "-4774", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-90) * 53", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -90, \"c\": 53}", "seed": "14210825803949837051", "semantic_fingerprint": "sha256:69fba29de7f13bc8b9e7fc92edd54a11084cc1b38a90d6c75e3bbb3fe5900ec8", "generator_version": "3.0"}
{"id": "v3_val_00003857", "prompt": "Solve for x: -5(x + 7) + 583 = -3(x - 27) + 469", "solution_steps": ["Expand: -5x - 35 + 583 = -3(x - 27) + 469", "Expand: -5x - 35 + 583 = -3x + 81 + 469", "Combine constants: -5x + 548 = -3x + 81 + 469", "Combine constants: -5x + 548 = -3x + 550", "Add 3x to both sides: -2x + 548 = 550", "Subtract 548 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 + 7) + 583 = -3(x - 27) + 469", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 583, \"d\": -3, \"e\": 27, \"g\": 469, \"x\": -1}", "seed": "8297407803239615046", "semantic_fingerprint": "sha256:2907f0828110b45ae0993511ed872ffaccf93a96d16a70dcbfe9f8fe73d5cd96", "generator_version": "3.0"}
{"id": "v3_val_00003858", "prompt": "Find x: x - 8 = 2x - 9", "solution_steps": ["Subtract 2x from both sides: -x - 8 = -9", "Add 8 to both sides: -x = -1", "Divide both sides by -1: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 2x - 9", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"d\": -9, \"x\": 1}", "seed": "2939364406132107143", "semantic_fingerprint": "sha256:3bb9c406478cafbf0a131ee27d8bf1bda45ad1cb200215ee8e9a5ca62dfac543", "generator_version": "3.0"}
{"id": "v3_val_00003859", "prompt": "What is (43 - 45 + 997 * (-9)) * (-87 - (-84))?", "solution_steps": ["Subtract: 43 - 45 = -2", "Multiply: 997 * (-9) = -8973", "Add: -2 + (-8973) = -8975", "Subtract: -87 - (-84) = -3", "Multiply: -8975 * (-3) = 26925"], "final_answer": "26925", "answer_type": "integer", "kind": "expression", "math_text": "(43 - 45 + 997 * (-9)) * (-87 - (-84))", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) (* n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 45, \"c\": 997, \"d\": -9, \"e\": -87, \"f\": -84}", "seed": "16985036526289396991", "semantic_fingerprint": "sha256:8237e31c27353510ddf0b5fa9e6989a1a7082113905f769f42dcbf15165596a6", "generator_version": "3.0"}
{"id": "v3_val_00003860", "prompt": "Find x: 4(x + 26) + 668 = 5(x - 311) + 88", "solution_steps": ["Expand: 4x + 104 + 668 = 5(x - 311) + 88", "Expand: 4x + 104 + 668 = 5x - 1555 + 88", "Combine constants: 4x + 772 = 5x - 1555 + 88", "Combine constants: 4x + 772 = 5x - 1467", "Subtract 5x from both sides: -x + 772 = -1467", "Subtract 772 from both sides: -x = -2239", "Divide both sides by -1: x = 2239"], "final_answer": "2239", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 26) + 668 = 5(x - 311) + 88", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 26, \"c\": 668, \"d\": 5, \"e\": 311, \"f\": 88}", "seed": "13758813122733387011", "semantic_fingerprint": "sha256:158e2aa6afeffbfde4ce3a21841bcdde770da5e0549b363a1494852564a1afe0", "generator_version": "3.0"}
{"id": "v3_val_00003861", "prompt": "Find x: -6x + 232 = -8(x - 32)", "solution_steps": ["Expand: -6x + 232 = -8x + 256", "Add 8x to both sides: 2x + 232 = 256", "Subtract 232 from both sides: 2x = 24", "Divide both sides by 2: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x + 232 = -8(x - 32)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -8, \"c\": 32, \"e\": 232, \"x\": 12}", "seed": "1590163020463694794", "semantic_fingerprint": "sha256:74cbbf7af1ec1bcc27ac5294f376d56db6c1f95d34b06c2282fd74219870471e", "generator_version": "3.0"}
{"id": "v3_val_00003862", "prompt": "Find x: 10(x - 2) - 5 = x - 61", "solution_steps": ["Expand: 10x - 20 - 5 = x - 61", "Combine constants: 10x - 25 = x - 61", "Subtract x from both sides: 9x - 25 = -61", "Add 25 to both sides: 9x = -36", "Divide both sides by 9: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 2) - 5 = x - 61", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 5, \"e\": -61, \"x\": -4}", "seed": "18085297578900041736", "semantic_fingerprint": "sha256:4c5445e62d3f9d13ba66aecfe7081fe4a3d39e8ab257198ee580dbef1e429b8a", "generator_version": "3.0"}
{"id": "v3_val_00003863", "prompt": "Solve the equation 5(x + 80) = x + 444 for x.", "solution_steps": ["Expand: 5x + 400 = x + 444", "Subtract x from both sides: 4x + 400 = 444", "Subtract 400 from both sides: 4x = 44", "Divide both sides by 4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 80) = x + 444", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 80, \"d\": 444, \"x\": 11}", "seed": "2655143036884077996", "semantic_fingerprint": "sha256:7ee62a5a1afde20b2d87ff67610b6f7f94a8a01b73390cfee63fcdfb3fabf6d8", "generator_version": "3.0"}
{"id": "v3_val_00003864", "prompt": "What is 81 / 62 + (-75 + 8) / (-93)?", "solution_steps": ["Divide: 81 / 62 = 81/62", "Add: -75 + 8 = -67", "Divide: -67 / (-93) = 67/93", "Add: 81/62 + 67/93 = 377/186"], "final_answer": "377/186", "answer_type": "rational", "kind": "expression", "math_text": "81 / 62 + (-75 + 8) / (-93)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 62, \"c\": -75, \"d\": 8, \"e\": -93}", "seed": "6937053870084760670", "semantic_fingerprint": "sha256:82ce368188dd8f67d8ae5fa9ee291cae0884f18809bd2c58661f404b867cef7c", "generator_version": "3.0"}
{"id": "v3_val_00003865", "prompt": "What value of x satisfies 3(x + 9) = x + 31?", "solution_steps": ["Expand: 3x + 27 = x + 31", "Subtract x from both sides: 2x + 27 = 31", "Subtract 27 from both sides: 2x = 4", "Divide both sides by 2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 9) = x + 31", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"d\": 31, \"x\": 2}", "seed": "14993958852882635007", "semantic_fingerprint": "sha256:a6bd010dbc4ad8a57a18be07846514eb86baa44e03cffd85b330c9b8a2f73838", "generator_version": "3.0"}
{"id": "v3_val_00003866", "prompt": "Compute: 5 / 379 * (-99)", "solution_steps": ["Divide: 5 / 379 = 5/379", "Multiply: (5/379) * (-99) = -495/379"], "final_answer": "-495/379", "answer_type": "rational", "kind": "expression", "math_text": "5 / 379 * (-99)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 379, \"c\": -99}", "seed": "4533977483118591638", "semantic_fingerprint": "sha256:96bfd60db544e59df43133d73bcdb07cb9414f6a769bc432f31f8e486fb885fa", "generator_version": "3.0"}
{"id": "v3_val_00003867", "prompt": "What value of x satisfies 10x = 8x - 22?", "solution_steps": ["Subtract 8x from both sides: 2x = -22", "Divide both sides by 2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 8x - 22", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"d\": -22, \"x\": -11}", "seed": "6604512157690631059", "semantic_fingerprint": "sha256:425e73ee7092c9deb02a29aaf7dd41b864bb0a1c4e8f6ec9232a966d6461c235", "generator_version": "3.0"}
{"id": "v3_val_00003868", "prompt": "Solve the equation x + 13 = -12x for x.", "solution_steps": ["Add 12x 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": "x + 13 = -12x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"c\": 13, \"x\": -1}", "seed": "9867363764202448166", "semantic_fingerprint": "sha256:3cd3216a40e342bb1602791aa584117c04f4d8a8be87e007fd8341b353cc03d4", "generator_version": "3.0"}
{"id": "v3_val_00003869", "prompt": "Compute: -7 * (-182) / (8 - (23 + (-8)))", "solution_steps": ["Multiply: -7 * (-182) = 1274", "Add: 23 + (-8) = 15", "Subtract: 8 - 15 = -7", "Divide: 1274 / (-7) = -182"], "final_answer": "-182", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-182) / (8 - (23 + (-8)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -182, \"c\": 8, \"d\": 23, \"e\": -8}", "seed": "1792034958307259980", "semantic_fingerprint": "sha256:7200716d9dfb3139d96c237e3f471d3e821e14db3b74a9414264d903ce670f21", "generator_version": "3.0"}
{"id": "v3_val_00003870", "prompt": "Calculate: 3 / 61", "solution_steps": ["Divide: 3 / 61 = 3/61"], "final_answer": "3/61", "answer_type": "rational", "kind": "expression", "math_text": "3 / 61", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 61}", "seed": "13012221076754446253", "semantic_fingerprint": "sha256:a8f5021ee3c04daf986bf60d3c23087cbd2b143d59e557a8587ddf704798dd18", "generator_version": "3.0"}
{"id": "v3_val_00003871", "prompt": "What is 3 / (533 / 1)?", "solution_steps": ["Divide: 533 / 1 = 533", "Divide: 3 / 533 = 3/533"], "final_answer": "3/533", "answer_type": "rational", "kind": "expression", "math_text": "3 / (533 / 1)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 533, \"c\": 1}", "seed": "16989137054364587937", "semantic_fingerprint": "sha256:87e2daaec658eb6e4cee24e36ac3b20f90f94a78f40cf5bb7d684a44050c9f37", "generator_version": "3.0"}
{"id": "v3_val_00003872", "prompt": "Find x: 3x = 4(x - 125) + 64", "solution_steps": ["Expand: 3x = 4x - 500 + 64", "Combine constants: 3x = 4x - 436", "Subtract 4x from both sides: -x = -436", "Divide both sides by -1: x = 436"], "final_answer": "436", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 4(x - 125) + 64", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 125, \"d\": 64}", "seed": "17920112400729552533", "semantic_fingerprint": "sha256:6a50c8fa01e895dd450be59473d451fe95872fec5104716ce802f9887ef5f1e9", "generator_version": "3.0"}
{"id": "v3_val_00003873", "prompt": "Evaluate: -5 + 79 * (-5)", "solution_steps": ["Multiply: 79 * (-5) = -395", "Add: -5 + (-395) = -400"], "final_answer": "-400", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 79 * (-5)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 79, \"c\": -5}", "seed": "16564008874474329036", "semantic_fingerprint": "sha256:fad352a6d8ca1fe3b7475c5c32b40bb7d8701c796f91f3c71bd8881a92b3696e", "generator_version": "3.0"}
{"id": "v3_val_00003874", "prompt": "Calculate: -501 / (-21)", "solution_steps": ["Divide: -501 / (-21) = 167/7"], "final_answer": "167/7", "answer_type": "rational", "kind": "expression", "math_text": "-501 / (-21)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -501, \"b\": -21}", "seed": "17841822066530414650", "semantic_fingerprint": "sha256:84f285dc56948701dbd8d297b38e72e39d334351c6774fe511bd022ce0526caf", "generator_version": "3.0"}
{"id": "v3_val_00003875", "prompt": "What value of x satisfies x - 6 = 2x?", "solution_steps": ["Subtract 2x from 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": "x - 6 = 2x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"c\": -6, \"x\": -6}", "seed": "15736601449735141926", "semantic_fingerprint": "sha256:e5e5d8464756937396a165ea45d0c2c94fdf4d544fce9bbf74d3971a867bf68b", "generator_version": "3.0"}
{"id": "v3_val_00003876", "prompt": "Solve for x: -5(x + 7) = 10x - 275", "solution_steps": ["Expand: -5x - 35 = 10x - 275", "Subtract 10x from both sides: -15x - 35 = -275", "Add 35 to both sides: -15x = -240", "Divide both sides by -15: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 7) = 10x - 275", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 10, \"e\": -275, \"x\": 16}", "seed": "5397977140776432839", "semantic_fingerprint": "sha256:ea2078318f46832d7a5635672d2540a74faab686545c0c69b53457718267980f", "generator_version": "3.0"}
{"id": "v3_val_00003877", "prompt": "What value of x satisfies -5(x + 34) = 3(x + 1) + 994?", "solution_steps": ["Expand: -5x - 170 = 3(x + 1) + 994", "Expand: -5x - 170 = 3x + 3 + 994", "Combine constants: -5x - 170 = 3x + 997", "Subtract 3x from both sides: -8x - 170 = 997", "Add 170 to both sides: -8x = 1167", "Divide both sides by -8: x = -1167/8"], "final_answer": "-1167/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 34) = 3(x + 1) + 994", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 34, \"c\": 3, \"d\": 1, \"e\": 994}", "seed": "10429446946725019727", "semantic_fingerprint": "sha256:a000bd3e0bb813de67057787b92cea74465e64df8808c6e43901dcda357b0e14", "generator_version": "3.0"}
{"id": "v3_val_00003878", "prompt": "Evaluate: 339 - 5 - (2 + (-21))", "solution_steps": ["Subtract: 339 - 5 = 334", "Add: 2 + (-21) = -19", "Subtract: 334 - (-19) = 353"], "final_answer": "353", "answer_type": "integer", "kind": "expression", "math_text": "339 - 5 - (2 + (-21))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 339, \"b\": 5, \"c\": 2, \"d\": -21}", "seed": "184487342488566312", "semantic_fingerprint": "sha256:530704c896c932a87ba058c1199c0112bdd42669775d19b3e00fbc3497f4cc99", "generator_version": "3.0"}
{"id": "v3_val_00003879", "prompt": "What is 54 / (19 / (-89 + (-9 - (-170)) / (-9)))?", "solution_steps": ["Subtract: -9 - (-170) = 161", "Divide: 161 / (-9) = -161/9", "Add: -89 + (-161/9) = -962/9", "Divide: 19 / (-962/9) = -171/962", "Divide: 54 / (-171/962) = -5772/19"], "final_answer": "-5772/19", "answer_type": "rational", "kind": "expression", "math_text": "54 / (19 / (-89 + (-9 - (-170)) / (-9)))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ n (+ n (/ (- n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 19, \"c\": -89, \"d\": -9, \"e\": -170, \"f\": -9}", "seed": "1960624438369287409", "semantic_fingerprint": "sha256:e1df689e6010c0cf88358eb7f18592e96c543217a618ee93458aff901f0a2617", "generator_version": "3.0"}
{"id": "v3_val_00003880", "prompt": "Solve the equation -9x + 115 = 5(x + 65) for x.", "solution_steps": ["Expand: -9x + 115 = 5x + 325", "Subtract 5x from both sides: -14x + 115 = 325", "Subtract 115 from both sides: -14x = 210", "Divide both sides by -14: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 115 = 5(x + 65)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 65, \"e\": 115, \"x\": -15}", "seed": "6068415681079589980", "semantic_fingerprint": "sha256:b1a5fab82c9257448241b4780daa15b3b95ed545a8a16fcdc7a84e57eabbf7d2", "generator_version": "3.0"}
{"id": "v3_val_00003881", "prompt": "Compute: 82 - (-64 + 837)", "solution_steps": ["Add: -64 + 837 = 773", "Subtract: 82 - 773 = -691"], "final_answer": "-691", "answer_type": "integer", "kind": "expression", "math_text": "82 - (-64 + 837)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -64, \"c\": 837}", "seed": "11331918050450722786", "semantic_fingerprint": "sha256:044f640bf33925ec8bf570c823be9aa1f04f071d2a646d4f6c1e42a2bde0f5cd", "generator_version": "3.0"}
{"id": "v3_val_00003882", "prompt": "Compute: 660 / (35 - (-7))", "solution_steps": ["Subtract: 35 - (-7) = 42", "Divide: 660 / 42 = 110/7"], "final_answer": "110/7", "answer_type": "rational", "kind": "expression", "math_text": "660 / (35 - (-7))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 660, \"b\": 35, \"c\": -7}", "seed": "10022618077595010600", "semantic_fingerprint": "sha256:04a29075342e7e59ba3108ec0bb64a080cc05c1d22aaf8f4e222446ef6640fdf", "generator_version": "3.0"}
{"id": "v3_val_00003883", "prompt": "Solve the equation x - 40 = -12x - 274 for x.", "solution_steps": ["Add 12x to both sides: 13x - 40 = -274", "Add 40 to both sides: 13x = -234", "Divide both sides by 13: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 40 = -12x - 274", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -12, \"d\": -274, \"x\": -18}", "seed": "7298280609345840465", "semantic_fingerprint": "sha256:3653412e42f13cf0db4cf27cf23af4aeddf85f1013168b4dfcfeef105c15f7d7", "generator_version": "3.0"}
{"id": "v3_val_00003884", "prompt": "Calculate: 0 - (-3 + 40)", "solution_steps": ["Add: -3 + 40 = 37", "Subtract: 0 - 37 = -37"], "final_answer": "-37", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-3 + 40)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -3, \"c\": 40}", "seed": "8720280266004159327", "semantic_fingerprint": "sha256:6146a469260cc8868322b905ec4a7529324dad92a564c9efe0feacc9272d8179", "generator_version": "3.0"}
{"id": "v3_val_00003885", "prompt": "Solve the equation 5(x + 9) = -8(x + 51) + 333 for x.", "solution_steps": ["Expand: 5x + 45 = -8(x + 51) + 333", "Expand: 5x + 45 = -8x - 408 + 333", "Combine constants: 5x + 45 = -8x - 75", "Add 8x to both sides: 13x + 45 = -75", "Subtract 45 from both sides: 13x = -120", "Divide both sides by 13: x = -120/13"], "final_answer": "-120/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 9) = -8(x + 51) + 333", "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\": -8, \"d\": 51, \"e\": 333}", "seed": "13804086477370263153", "semantic_fingerprint": "sha256:54e09edecd6d692ca1cd9efdc7e4b19515895c2d686c36ad07ec21328ed9a582", "generator_version": "3.0"}
{"id": "v3_val_00003886", "prompt": "Solve for x: x - 6 = 7(x - 402)", "solution_steps": ["Expand: x - 6 = 7x - 2814", "Subtract 7x from both sides: -6x - 6 = -2814", "Add 6 to both sides: -6x = -2808", "Divide both sides by -6: x = 468"], "final_answer": "468", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 7(x - 402)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 402}", "seed": "12545460184049515393", "semantic_fingerprint": "sha256:9cb30fadd37cb25c91eecb60d25906bd2d5514114408f4d1e05de165e4a1e3f6", "generator_version": "3.0"}
{"id": "v3_val_00003887", "prompt": "Compute: 24 / 875", "solution_steps": ["Divide: 24 / 875 = 24/875"], "final_answer": "24/875", "answer_type": "rational", "kind": "expression", "math_text": "24 / 875", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 875}", "seed": "888270619187584606", "semantic_fingerprint": "sha256:7ea1b821fe361212caba8c1bd8bd74873e399762d537cb95d2f63a90984f085a", "generator_version": "3.0"}
{"id": "v3_val_00003888", "prompt": "What is -22 + 5 / 9 * 0?", "solution_steps": ["Divide: 5 / 9 = 5/9", "Multiply: (5/9) * 0 = 0", "Add: -22 + 0 = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "-22 + 5 / 9 * 0", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 5, \"c\": 9, \"d\": 0}", "seed": "985990005395537316", "semantic_fingerprint": "sha256:f24655d0737ed092b2727abe6262c98beb33da889e7f120ec30ed9b6088f1cd1", "generator_version": "3.0"}
{"id": "v3_val_00003889", "prompt": "Solve for x: 12x + 333 = x + 3", "solution_steps": ["Subtract x from both sides: 11x + 333 = 3", "Subtract 333 from both sides: 11x = -330", "Divide both sides by 11: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 333 = x + 3", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 333, \"c\": 3}", "seed": "13555787310728357866", "semantic_fingerprint": "sha256:fa4258ce505acb423bcc2bbba745c1f69d6559e314a1b1dd9c7f55178fb0c261", "generator_version": "3.0"}
{"id": "v3_val_00003890", "prompt": "Solve the equation 2x - 96 = x - 399 for x.", "solution_steps": ["Subtract x from both sides: x - 96 = -399", "Add 96 to both sides: x = -303"], "final_answer": "-303", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 96 = x - 399", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 96, \"c\": 399}", "seed": "15840397445482705614", "semantic_fingerprint": "sha256:bd681325cd664961a9e3d0cdd1ebd067362ecb14a5afa10e8e6e8b89e9c74cd5", "generator_version": "3.0"}
{"id": "v3_val_00003891", "prompt": "What value of x satisfies 9(x + 9) = 10x?", "solution_steps": ["Expand: 9x + 81 = 10x", "Subtract 10x from both sides: -x + 81 = 0", "Subtract 81 from both sides: -x = -81", "Divide both sides by -1: x = 81"], "final_answer": "81", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 9) = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 10}", "seed": "7578742668243446982", "semantic_fingerprint": "sha256:d4b550ed10a7c411b3118fb4d2933ab87a1ad731dee132a1e705dc48ed8150c3", "generator_version": "3.0"}
{"id": "v3_val_00003892", "prompt": "Solve the equation 2(x - 8) - 8 = -2x - 397 for x.", "solution_steps": ["Expand: 2x - 16 - 8 = -2x - 397", "Combine constants: 2x - 24 = -2x - 397", "Add 2x to both sides: 4x - 24 = -397", "Add 24 to both sides: 4x = -373", "Divide both sides by 4: x = -373/4"], "final_answer": "-373/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 8) - 8 = -2x - 397", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 8, \"d\": -2, \"e\": 397}", "seed": "17883894785055992120", "semantic_fingerprint": "sha256:1bcb352b1327705fe2d104010368562e02d0c6e69fa2a84e24d5e7a0bd15a223", "generator_version": "3.0"}
{"id": "v3_val_00003893", "prompt": "Calculate: -173 + (-380 / (-87) - (6 - (-796)) / 29)", "solution_steps": ["Divide: -380 / (-87) = 380/87", "Subtract: 6 - (-796) = 802", "Divide: 802 / 29 = 802/29", "Subtract: 380/87 - 802/29 = -2026/87", "Add: -173 + (-2026/87) = -17077/87"], "final_answer": "-17077/87", "answer_type": "rational", "kind": "expression", "math_text": "-173 + (-380 / (-87) - (6 - (-796)) / 29)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (/ n n) (/ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -173, \"b\": -380, \"c\": -87, \"d\": 6, \"e\": -796, \"f\": 29}", "seed": "10390460039494527468", "semantic_fingerprint": "sha256:e54201ab0296175e8f7906eb02f3313f2a46ecf7c38f3b86f0829123d2668d13", "generator_version": "3.0"}
{"id": "v3_val_00003894", "prompt": "Solve for x: -7(x + 95) - 5 = -6(x - 4) + 5", "solution_steps": ["Expand: -7x - 665 - 5 = -6(x - 4) + 5", "Expand: -7x - 665 - 5 = -6x + 24 + 5", "Combine constants: -7x - 670 = -6x + 24 + 5", "Combine constants: -7x - 670 = -6x + 29", "Add 6x to both sides: -x - 670 = 29", "Add 670 to both sides: -x = 699", "Divide both sides by -1: x = -699"], "final_answer": "-699", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 95) - 5 = -6(x - 4) + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 95, \"c\": 5, \"d\": -6, \"e\": 4, \"f\": 5}", "seed": "948813908497771507", "semantic_fingerprint": "sha256:43f988dd6442217922e3f6084a667ccf1ff8c2c070c4dea8a85706cf71e67a0e", "generator_version": "3.0"}
{"id": "v3_val_00003895", "prompt": "Evaluate: -25 - (-884) + 0", "solution_steps": ["Subtract: -25 - (-884) = 859", "Add: 859 + 0 = 859"], "final_answer": "859", "answer_type": "integer", "kind": "expression", "math_text": "-25 - (-884) + 0", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -884, \"c\": 0}", "seed": "5508230755893321018", "semantic_fingerprint": "sha256:9f1201647f41f675aa486bd606042d7723e805473a2164155175105a3c59d3a0", "generator_version": "3.0"}
{"id": "v3_val_00003896", "prompt": "Compute: 1 * (20 + 4 - (-85))", "solution_steps": ["Add: 20 + 4 = 24", "Subtract: 24 - (-85) = 109", "Multiply: 1 * 109 = 109"], "final_answer": "109", "answer_type": "integer", "kind": "expression", "math_text": "1 * (20 + 4 - (-85))", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 20, \"c\": 4, \"d\": -85}", "seed": "4344521356450757865", "semantic_fingerprint": "sha256:6174b2064a9b38c7665093de5738bdb45d7f6a1a5afcd2ba119fe8257a0b2c6a", "generator_version": "3.0"}
{"id": "v3_val_00003897", "prompt": "What value of x satisfies -12(x - 7) - 99 = -111?", "solution_steps": ["Expand: -12x + 84 - 99 = -111", "Combine constants: -12x - 15 = -111", "Add 15 to both sides: -12x = -96", "Divide both sides by -12: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 7) - 99 = -111", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": 99, \"e\": -111, \"x\": 8}", "seed": "11633750073719218404", "semantic_fingerprint": "sha256:27f29ec7fbf2faf12817676b5f6686742a2f442d05820235510175be229b8453", "generator_version": "3.0"}
{"id": "v3_val_00003898", "prompt": "Find x: -7(x - 2) = -9(x + 45) + 449", "solution_steps": ["Expand: -7x + 14 = -9(x + 45) + 449", "Expand: -7x + 14 = -9x - 405 + 449", "Combine constants: -7x + 14 = -9x + 44", "Add 9x to both sides: 2x + 14 = 44", "Subtract 14 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 - 2) = -9(x + 45) + 449", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": -9, \"d\": 45, \"f\": 449, \"x\": 15}", "seed": "6970520862863356633", "semantic_fingerprint": "sha256:b19934fa6d88ab9398db0c2dbd5d43d7453d9bb358a020604a9f2d3da37e6f5d", "generator_version": "3.0"}
{"id": "v3_val_00003899", "prompt": "What is 610 / (-4 + 3)?", "solution_steps": ["Add: -4 + 3 = -1", "Divide: 610 / (-1) = -610"], "final_answer": "-610", "answer_type": "integer", "kind": "expression", "math_text": "610 / (-4 + 3)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 610, \"b\": -4, \"c\": 3}", "seed": "4844960362396536564", "semantic_fingerprint": "sha256:5a092806eaac9e306ade05337fecdaa582c8be937e9c6b08cd78f401ff768a75", "generator_version": "3.0"}
{"id": "v3_val_00003900", "prompt": "Calculate: (610 - 66) * (-88)", "solution_steps": ["Subtract: 610 - 66 = 544", "Multiply: 544 * (-88) = -47872"], "final_answer": "-47872", "answer_type": "integer", "kind": "expression", "math_text": "(610 - 66) * (-88)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 610, \"b\": 66, \"c\": -88}", "seed": "13924997308785573208", "semantic_fingerprint": "sha256:a9b1491f950b6762f22da4151a995bc03582ee9b6313928df62343bfec17b532", "generator_version": "3.0"}
{"id": "v3_val_00003901", "prompt": "Calculate: (-16 - (-9)) / (-750)", "solution_steps": ["Subtract: -16 - (-9) = -7", "Divide: -7 / (-750) = 7/750"], "final_answer": "7/750", "answer_type": "rational", "kind": "expression", "math_text": "(-16 - (-9)) / (-750)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -9, \"c\": -750}", "seed": "6458105384215951432", "semantic_fingerprint": "sha256:d45fc29d6059dd2514647dbc5f1186f74b64c4f6aad01d8fef2f342ce8ca6e1c", "generator_version": "3.0"}
{"id": "v3_val_00003902", "prompt": "What is -3 - (26 - 186) / (-7)?", "solution_steps": ["Subtract: 26 - 186 = -160", "Divide: -160 / (-7) = 160/7", "Subtract: -3 - 160/7 = -181/7"], "final_answer": "-181/7", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (26 - 186) / (-7)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 26, \"c\": 186, \"d\": -7}", "seed": "17750452400967097367", "semantic_fingerprint": "sha256:60f2308ff67cf74a00521cc04c28422e4435aeec6817ff001e9f0dbc8828eae1", "generator_version": "3.0"}
{"id": "v3_val_00003903", "prompt": "What is 49 / (-6)?", "solution_steps": ["Divide: 49 / (-6) = -49/6"], "final_answer": "-49/6", "answer_type": "rational", "kind": "expression", "math_text": "49 / (-6)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -6}", "seed": "938274360706663085", "semantic_fingerprint": "sha256:966b60b965650b082e37154ffdaba884efa28516945a07ef5e5eb6f1475fe06e", "generator_version": "3.0"}
{"id": "v3_val_00003904", "prompt": "Solve for x: -8(x - 41) = 2(x + 52) + 194", "solution_steps": ["Expand: -8x + 328 = 2(x + 52) + 194", "Expand: -8x + 328 = 2x + 104 + 194", "Combine constants: -8x + 328 = 2x + 298", "Subtract 2x from both sides: -10x + 328 = 298", "Subtract 328 from both sides: -10x = -30", "Divide both sides by -10: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 41) = 2(x + 52) + 194", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 41, \"c\": 2, \"d\": 52, \"f\": 194, \"x\": 3}", "seed": "14964283799590734162", "semantic_fingerprint": "sha256:bca2d12fcce2425a2f8d476ce2795e6d4a870f5294909c5ca46e74e908621be0", "generator_version": "3.0"}
{"id": "v3_val_00003905", "prompt": "What value of x satisfies 3(x - 8) + 7 = x?", "solution_steps": ["Expand: 3x - 24 + 7 = x", "Combine constants: 3x - 17 = x", "Subtract x from both sides: 2x - 17 = 0", "Add 17 to both sides: 2x = 17", "Divide both sides by 2: x = 17/2"], "final_answer": "17/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 8) + 7 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 7}", "seed": "11408303282385034999", "semantic_fingerprint": "sha256:fbd89559b494d59b839769897bab046a61ed5845ee5b60741cbb4d7358e211ce", "generator_version": "3.0"}
{"id": "v3_val_00003906", "prompt": "Evaluate: -49 * (3 / 989) - (57 - (-1))", "solution_steps": ["Divide: 3 / 989 = 3/989", "Multiply: -49 * (3/989) = -147/989", "Subtract: 57 - (-1) = 58", "Subtract: -147/989 - 58 = -57509/989"], "final_answer": "-57509/989", "answer_type": "rational", "kind": "expression", "math_text": "-49 * (3 / 989) - (57 - (-1))", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 3, \"c\": 989, \"d\": 57, \"e\": -1}", "seed": "5152698417391919066", "semantic_fingerprint": "sha256:a7e77312291aa812b778d4f762ff2cbe74ea8bd0256410d6463385e1b76d361f", "generator_version": "3.0"}
{"id": "v3_val_00003907", "prompt": "What value of x satisfies x = 8(x + 35)?", "solution_steps": ["Expand: x = 8x + 280", "Subtract 8x from both sides: -7x = 280", "Divide both sides by -7: x = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 8(x + 35)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 35}", "seed": "16200727573211636504", "semantic_fingerprint": "sha256:f95c95a935d095d8aeec6db3f0aca8721a5511c5b1d7c70458249adc68848cdb", "generator_version": "3.0"}
{"id": "v3_val_00003908", "prompt": "Find x: 2(x + 7) + 52 = 5x + 84", "solution_steps": ["Expand: 2x + 14 + 52 = 5x + 84", "Combine constants: 2x + 66 = 5x + 84", "Subtract 5x from both sides: -3x + 66 = 84", "Subtract 66 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 + 7) + 52 = 5x + 84", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 52, \"d\": 5, \"f\": 84, \"x\": -6}", "seed": "10351197553556863400", "semantic_fingerprint": "sha256:b52903a6d6d3115f0e261fffd30352b494cdea98e375baa2018f0a9278e72e65", "generator_version": "3.0"}
{"id": "v3_val_00003909", "prompt": "What is -87 - (-942) / (-980 + 54)?", "solution_steps": ["Add: -980 + 54 = -926", "Divide: -942 / (-926) = 471/463", "Subtract: -87 - 471/463 = -40752/463"], "final_answer": "-40752/463", "answer_type": "rational", "kind": "expression", "math_text": "-87 - (-942) / (-980 + 54)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": -942, \"c\": -980, \"d\": 54}", "seed": "9107686937973165636", "semantic_fingerprint": "sha256:c68bd515433f1106a9345681ecc0b47c21f6264b8e662dd6170c1dcecf27af34", "generator_version": "3.0"}
{"id": "v3_val_00003910", "prompt": "Evaluate: -186 / (-81) / (555 - 56 - 9)", "solution_steps": ["Divide: -186 / (-81) = 62/27", "Subtract: 555 - 56 = 499", "Subtract: 499 - 9 = 490", "Divide: (62/27) / 490 = 31/6615"], "final_answer": "31/6615", "answer_type": "rational", "kind": "expression", "math_text": "-186 / (-81) / (555 - 56 - 9)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -186, \"b\": -81, \"c\": 555, \"d\": 56, \"e\": 9}", "seed": "9431781081600992213", "semantic_fingerprint": "sha256:9bba08eef69c61a6bffea1c3a903f123b96ce787da23bad3d476e21599a2ad2e", "generator_version": "3.0"}
{"id": "v3_val_00003911", "prompt": "Solve for x: 4(x - 75) + 3 = -317", "solution_steps": ["Expand: 4x - 300 + 3 = -317", "Combine constants: 4x - 297 = -317", "Add 297 to both sides: 4x = -20", "Divide both sides by 4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 75) + 3 = -317", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 75, \"c\": 3, \"e\": -317, \"x\": -5}", "seed": "14684806660774816125", "semantic_fingerprint": "sha256:dd6646174f89847cc4c5b65f7540b8a07c1053dde019450729a808738d10fed6", "generator_version": "3.0"}
{"id": "v3_val_00003912", "prompt": "What is (2 - 1) * (-57) - (-954 - 60)?", "solution_steps": ["Subtract: 2 - 1 = 1", "Multiply: 1 * (-57) = -57", "Subtract: -954 - 60 = -1014", "Subtract: -57 - (-1014) = 957"], "final_answer": "957", "answer_type": "integer", "kind": "expression", "math_text": "(2 - 1) * (-57) - (-954 - 60)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": -57, \"d\": -954, \"e\": 60}", "seed": "13210152157835456977", "semantic_fingerprint": "sha256:5f157c8c296f4d95d2da217032ce724dfec78a0884a2da5251dba77e8215ad85", "generator_version": "3.0"}
{"id": "v3_val_00003913", "prompt": "Calculate: 61 / (-51)", "solution_steps": ["Divide: 61 / (-51) = -61/51"], "final_answer": "-61/51", "answer_type": "rational", "kind": "expression", "math_text": "61 / (-51)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -51}", "seed": "17492958118176843788", "semantic_fingerprint": "sha256:9001614136fbe060f6f15b1d34f95c9c2b02703d5206775fdc1d73f3395733f1", "generator_version": "3.0"}
{"id": "v3_val_00003914", "prompt": "Solve the equation x - 405 = 5x - 337 for x.", "solution_steps": ["Subtract 5x from both sides: -4x - 405 = -337", "Add 405 to both sides: -4x = 68", "Divide both sides by -4: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 405 = 5x - 337", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 405, \"b\": 5, \"d\": -337, \"x\": -17}", "seed": "436496179155998803", "semantic_fingerprint": "sha256:f59249c337b56f1705cc1d2219735acfa4f2a300f4f3be5efb063524d2182c17", "generator_version": "3.0"}
{"id": "v3_val_00003915", "prompt": "Compute: (2 + 28) / (-63)", "solution_steps": ["Add: 2 + 28 = 30", "Divide: 30 / (-63) = -10/21"], "final_answer": "-10/21", "answer_type": "rational", "kind": "expression", "math_text": "(2 + 28) / (-63)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 28, \"c\": -63}", "seed": "14482658494522705829", "semantic_fingerprint": "sha256:7fda62a09cd6f7eef8ccd42be11849f674d20181cb47c08a9aed97570d918bdb", "generator_version": "3.0"}
{"id": "v3_val_00003916", "prompt": "Compute: -84 / 63 - 59 + (5 - (-304))", "solution_steps": ["Divide: -84 / 63 = -4/3", "Subtract: -4/3 - 59 = -181/3", "Subtract: 5 - (-304) = 309", "Add: -181/3 + 309 = 746/3"], "final_answer": "746/3", "answer_type": "rational", "kind": "expression", "math_text": "-84 / 63 - 59 + (5 - (-304))", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 63, \"c\": 59, \"d\": 5, \"e\": -304}", "seed": "3655599588884291233", "semantic_fingerprint": "sha256:db8b1ee190099f64f2d977f5d8b1806a59566947808537551d442118ae7ac4ed", "generator_version": "3.0"}
{"id": "v3_val_00003917", "prompt": "What is 203 * (62 * (-9))?", "solution_steps": ["Multiply: 62 * (-9) = -558", "Multiply: 203 * (-558) = -113274"], "final_answer": "-113274", "answer_type": "integer", "kind": "expression", "math_text": "203 * (62 * (-9))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 203, \"b\": 62, \"c\": -9}", "seed": "10313934442368061329", "semantic_fingerprint": "sha256:d5c054ac50886933791e85ee28dfce478f9e5fec83cd2022e93a4bdf66e9329a", "generator_version": "3.0"}
{"id": "v3_val_00003918", "prompt": "Compute: -87 / (-82) / (9 * (5 - 26))", "solution_steps": ["Divide: -87 / (-82) = 87/82", "Subtract: 5 - 26 = -21", "Multiply: 9 * (-21) = -189", "Divide: (87/82) / (-189) = -29/5166"], "final_answer": "-29/5166", "answer_type": "rational", "kind": "expression", "math_text": "-87 / (-82) / (9 * (5 - 26))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": -82, \"c\": 9, \"d\": 5, \"e\": 26}", "seed": "18089192013441793085", "semantic_fingerprint": "sha256:8dca631b1fe5a47c313279153ec4db873790b1ea635d5bb2239aa0a218c3c130", "generator_version": "3.0"}
{"id": "v3_val_00003919", "prompt": "What is -52 - 1 - 0?", "solution_steps": ["Subtract: -52 - 1 = -53", "Subtract: -53 - 0 = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "expression", "math_text": "-52 - 1 - 0", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 1, \"c\": 0}", "seed": "8014980003241232217", "semantic_fingerprint": "sha256:06385fbf117b4c54dd351dc89e5e10d28dad0af878615cf92dfbe9cb8b45826d", "generator_version": "3.0"}
{"id": "v3_val_00003920", "prompt": "Find x: -11(x + 5) - 82 = 8(x + 28)", "solution_steps": ["Expand: -11x - 55 - 82 = 8(x + 28)", "Expand: -11x - 55 - 82 = 8x + 224", "Combine constants: -11x - 137 = 8x + 224", "Subtract 8x from both sides: -19x - 137 = 224", "Add 137 to both sides: -19x = 361", "Divide both sides by -19: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 5) - 82 = 8(x + 28)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 5, \"c\": 8, \"d\": 28, \"f\": -82, \"x\": -19}", "seed": "11513739521724457984", "semantic_fingerprint": "sha256:eb39d1893d746e691c02e0ee83cd57222ae10a41ba7f4b94e6e67478e4bb9321", "generator_version": "3.0"}
{"id": "v3_val_00003921", "prompt": "Evaluate: 45 + (-4) + 42", "solution_steps": ["Add: 45 + (-4) = 41", "Add: 41 + 42 = 83"], "final_answer": "83", "answer_type": "integer", "kind": "expression", "math_text": "45 + (-4) + 42", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -4, \"c\": 42}", "seed": "18201298212925658713", "semantic_fingerprint": "sha256:0ae574ea0520b9eeb6d452ab4fb154f7e376a09a3ae9699e39783947598863ba", "generator_version": "3.0"}
{"id": "v3_val_00003922", "prompt": "What value of x satisfies 4x - 39 = x - 51?", "solution_steps": ["Subtract x from both sides: 3x - 39 = -51", "Add 39 to both sides: 3x = -12", "Divide both sides by 3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 39 = x - 51", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 39, \"c\": 51}", "seed": "8178692391638543421", "semantic_fingerprint": "sha256:c9d8711af0a8688ef6e69b4e6e075ae3589a03e2be4922a375394deb81c6151f", "generator_version": "3.0"}
{"id": "v3_val_00003923", "prompt": "What is 62 / (-735 / (-270)) * 14?", "solution_steps": ["Divide: -735 / (-270) = 49/18", "Divide: 62 / (49/18) = 1116/49", "Multiply: (1116/49) * 14 = 2232/7"], "final_answer": "2232/7", "answer_type": "rational", "kind": "expression", "math_text": "62 / (-735 / (-270)) * 14", "variable": null, "family": "expression_3op", "shape": "(* (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -735, \"c\": -270, \"d\": 14}", "seed": "8635528213558206646", "semantic_fingerprint": "sha256:ffc3b773556c02884ad069233fae73891d7490dafa548d079cd1d169f6b01142", "generator_version": "3.0"}
{"id": "v3_val_00003924", "prompt": "Solve the equation 4(x - 1) - 49 = x - 43 for x.", "solution_steps": ["Expand: 4x - 4 - 49 = x - 43", "Combine constants: 4x - 53 = x - 43", "Subtract x from both sides: 3x - 53 = -43", "Add 53 to both sides: 3x = 10", "Divide both sides by 3: x = 10/3"], "final_answer": "10/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 1) - 49 = x - 43", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 49, \"d\": 43}", "seed": "15673997331566548618", "semantic_fingerprint": "sha256:e76301dc97710f69e7e620891e6b616d745c1bcab36a7b7624ef6a0591b2d890", "generator_version": "3.0"}
{"id": "v3_val_00003925", "prompt": "Solve the equation 2x + 88 = 11x - 29 for x.", "solution_steps": ["Subtract 11x from both sides: -9x + 88 = -29", "Subtract 88 from both sides: -9x = -117", "Divide both sides by -9: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 88 = 11x - 29", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 88, \"c\": 11, \"e\": -29, \"x\": 13}", "seed": "1699000937938107907", "semantic_fingerprint": "sha256:184e6e9a0e2b71fb439c7f48e65c1bb131834f5f5da94dd9dffaf549b9038bd2", "generator_version": "3.0"}
{"id": "v3_val_00003926", "prompt": "Find x: 6(x - 4) - 33 = x", "solution_steps": ["Expand: 6x - 24 - 33 = x", "Combine constants: 6x - 57 = x", "Subtract x from both sides: 5x - 57 = 0", "Add 57 to both sides: 5x = 57", "Divide both sides by 5: x = 57/5"], "final_answer": "57/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 4) - 33 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 33}", "seed": "3885499775081534195", "semantic_fingerprint": "sha256:3d82ffe59a0c76a895f8d774b77de00ca6c8ede7b6a93df930630d4a7a4567bf", "generator_version": "3.0"}
{"id": "v3_val_00003927", "prompt": "Compute: 61 + 203 + (-83)", "solution_steps": ["Add: 61 + 203 = 264", "Add: 264 + (-83) = 181"], "final_answer": "181", "answer_type": "integer", "kind": "expression", "math_text": "61 + 203 + (-83)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 203, \"c\": -83}", "seed": "5667469428121565515", "semantic_fingerprint": "sha256:12fac0e09f81dcced985c3e199d3d852b7fd3b121e7e5c6aa3067e9d6a08b406", "generator_version": "3.0"}
{"id": "v3_val_00003928", "prompt": "Evaluate: 8 + (-6) / (9 + 694 / (-23))", "solution_steps": ["Divide: 694 / (-23) = -694/23", "Add: 9 + (-694/23) = -487/23", "Divide: -6 / (-487/23) = 138/487", "Add: 8 + 138/487 = 4034/487"], "final_answer": "4034/487", "answer_type": "rational", "kind": "expression", "math_text": "8 + (-6) / (9 + 694 / (-23))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (+ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -6, \"c\": 9, \"d\": 694, \"e\": -23}", "seed": "5048033574387477701", "semantic_fingerprint": "sha256:b578bece3fa901e5eb653e70177b1defaa078b5d1a8313cd208ff31e74f72dc5", "generator_version": "3.0"}
{"id": "v3_val_00003929", "prompt": "Calculate: (8 + (-3) - (-9)) / (-141)", "solution_steps": ["Add: 8 + (-3) = 5", "Subtract: 5 - (-9) = 14", "Divide: 14 / (-141) = -14/141"], "final_answer": "-14/141", "answer_type": "rational", "kind": "expression", "math_text": "(8 + (-3) - (-9)) / (-141)", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -3, \"c\": -9, \"d\": -141}", "seed": "8337654111640247358", "semantic_fingerprint": "sha256:a06ec6ea702d48f42d1b7a8ff16cc0f8e6112ef92ac18813970ea945c727483c", "generator_version": "3.0"}
{"id": "v3_val_00003930", "prompt": "Evaluate: 45 / (-2)", "solution_steps": ["Divide: 45 / (-2) = -45/2"], "final_answer": "-45/2", "answer_type": "rational", "kind": "expression", "math_text": "45 / (-2)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -2}", "seed": "16538035836125004619", "semantic_fingerprint": "sha256:284bc909fbb0ce71ba0db55a744ec1fec7d7b3ade64ac6f7efba0c7968e5e19d", "generator_version": "3.0"}
{"id": "v3_val_00003931", "prompt": "What value of x satisfies 5x + 1 = -10(x + 3) - 104?", "solution_steps": ["Expand: 5x + 1 = -10x - 30 - 104", "Combine constants: 5x + 1 = -10x - 134", "Add 10x to both sides: 15x + 1 = -134", "Subtract 1 from both sides: 15x = -135", "Divide both sides by 15: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 1 = -10(x + 3) - 104", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": -10, \"d\": 3, \"f\": -104, \"x\": -9}", "seed": "3431027150892347601", "semantic_fingerprint": "sha256:b273ee380a42b4209219da989388866b39e17088002c9bcd4ce7a2171a77c661", "generator_version": "3.0"}
{"id": "v3_val_00003932", "prompt": "Find x: 9(x - 597) = x + 74", "solution_steps": ["Expand: 9x - 5373 = x + 74", "Subtract x from both sides: 8x - 5373 = 74", "Add 5373 to both sides: 8x = 5447", "Divide both sides by 8: x = 5447/8"], "final_answer": "5447/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 597) = x + 74", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 597, \"c\": 74}", "seed": "9493096337438300947", "semantic_fingerprint": "sha256:5e3916861a88a1aa10a4628c5feda78beb3ba3b8721ed7db13e859373f0dace4", "generator_version": "3.0"}
{"id": "v3_val_00003933", "prompt": "Evaluate: -36 + 9", "solution_steps": ["Add: -36 + 9 = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "expression", "math_text": "-36 + 9", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 9}", "seed": "18022066482652748629", "semantic_fingerprint": "sha256:66cd0d10c416c940e6edd2ffb1fd2bba31f8ec411ff650446100d3ecb2ce7d3a", "generator_version": "3.0"}
{"id": "v3_val_00003934", "prompt": "Compute: 70 - 4 - (-61)", "solution_steps": ["Subtract: 70 - 4 = 66", "Subtract: 66 - (-61) = 127"], "final_answer": "127", "answer_type": "integer", "kind": "expression", "math_text": "70 - 4 - (-61)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 4, \"c\": -61}", "seed": "14172158564062489380", "semantic_fingerprint": "sha256:732c46e939244b8430750e0fe0c363db3c7b6ee7ecd283f6eccc129b7a283e72", "generator_version": "3.0"}
{"id": "v3_val_00003935", "prompt": "Calculate: 3 - (-420 + (-6)) * (-332)", "solution_steps": ["Add: -420 + (-6) = -426", "Multiply: -426 * (-332) = 141432", "Subtract: 3 - 141432 = -141429"], "final_answer": "-141429", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-420 + (-6)) * (-332)", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -420, \"c\": -6, \"d\": -332}", "seed": "2889848137765778893", "semantic_fingerprint": "sha256:bdaf4e1c7dde969a907a5859975a9c818d26f50b5fc14258f85e15eee77d081e", "generator_version": "3.0"}
{"id": "v3_val_00003936", "prompt": "What value of x satisfies 10(x + 3) = 6x?", "solution_steps": ["Expand: 10x + 30 = 6x", "Subtract 6x from both sides: 4x + 30 = 0", "Subtract 30 from both sides: 4x = -30", "Divide both sides by 4: x = -15/2"], "final_answer": "-15/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 3) = 6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 6}", "seed": "1568486159201628950", "semantic_fingerprint": "sha256:e27fe6517d566d8e080c6cfad00a7b7ed24b31f93e0f216d9714e4729344a1f8", "generator_version": "3.0"}
{"id": "v3_val_00003937", "prompt": "Solve the equation 11(x - 894) = x for x.", "solution_steps": ["Expand: 11x - 9834 = x", "Subtract x from both sides: 10x - 9834 = 0", "Add 9834 to both sides: 10x = 9834", "Divide both sides by 10: x = 4917/5"], "final_answer": "4917/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 894) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 894}", "seed": "831758997533860332", "semantic_fingerprint": "sha256:dea25ced4ad075491c227f80ca8a0956912757e527a5c058526a7770e566997f", "generator_version": "3.0"}
{"id": "v3_val_00003938", "prompt": "What is -8 - (-526) - (-18)?", "solution_steps": ["Subtract: -8 - (-526) = 518", "Subtract: 518 - (-18) = 536"], "final_answer": "536", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-526) - (-18)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -526, \"c\": -18}", "seed": "18350588150495219863", "semantic_fingerprint": "sha256:e6b3a824d0e57d77d730d0277c91c87543e4a5ff8d7e0b1095c0018f9d0656bc", "generator_version": "3.0"}
{"id": "v3_val_00003939", "prompt": "What is (-535 - 78) * (99 - (-428))?", "solution_steps": ["Subtract: -535 - 78 = -613", "Subtract: 99 - (-428) = 527", "Multiply: -613 * 527 = -323051"], "final_answer": "-323051", "answer_type": "integer", "kind": "expression", "math_text": "(-535 - 78) * (99 - (-428))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -535, \"b\": 78, \"c\": 99, \"d\": -428}", "seed": "1544323995491160493", "semantic_fingerprint": "sha256:0cb12a552cf8db45d0d3017dd31060c24f8d15003cb3631ac6ffebd09085c0ff", "generator_version": "3.0"}
{"id": "v3_val_00003940", "prompt": "Find x: x - 19 = 2(x + 4) - 44", "solution_steps": ["Expand: x - 19 = 2x + 8 - 44", "Combine constants: x - 19 = 2x - 36", "Subtract 2x from both sides: -x - 19 = -36", "Add 19 to both sides: -x = -17", "Divide both sides by -1: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 19 = 2(x + 4) - 44", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 2, \"c\": 4, \"e\": -44, \"x\": 17}", "seed": "1435395671997521073", "semantic_fingerprint": "sha256:761850d43b1d011c03588cf556ccc11a2dcedda67c4123b05698d1f4a270faca", "generator_version": "3.0"}
{"id": "v3_val_00003941", "prompt": "Evaluate: -27 * 51 / (-92 + 5 * 8)", "solution_steps": ["Multiply: -27 * 51 = -1377", "Multiply: 5 * 8 = 40", "Add: -92 + 40 = -52", "Divide: -1377 / (-52) = 1377/52"], "final_answer": "1377/52", "answer_type": "rational", "kind": "expression", "math_text": "-27 * 51 / (-92 + 5 * 8)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 51, \"c\": -92, \"d\": 5, \"e\": 8}", "seed": "10737037781532434499", "semantic_fingerprint": "sha256:58a1c6d476edde0eed69e3687ba082d39696270cc95678cef5f6e48cb45a8785", "generator_version": "3.0"}
{"id": "v3_val_00003942", "prompt": "Calculate: 263 * (-213) / 82", "solution_steps": ["Multiply: 263 * (-213) = -56019", "Divide: -56019 / 82 = -56019/82"], "final_answer": "-56019/82", "answer_type": "rational", "kind": "expression", "math_text": "263 * (-213) / 82", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 263, \"b\": -213, \"c\": 82}", "seed": "17978434555588876171", "semantic_fingerprint": "sha256:d50d3190f7529d9f1e97f4983d8273b84b99878fc9daffd5d81079bf54539c84", "generator_version": "3.0"}
{"id": "v3_val_00003943", "prompt": "What value of x satisfies 9x = -60?", "solution_steps": ["Divide both sides by 9: x = -20/3"], "final_answer": "-20/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = -60", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -60}", "seed": "6221983054888423864", "semantic_fingerprint": "sha256:51d3f261ddbe60305c82f688ec3b81e0332fe9853d9f2980eaf49e036eae8a1b", "generator_version": "3.0"}
{"id": "v3_val_00003944", "prompt": "Evaluate: (13 + (-2)) * (-954)", "solution_steps": ["Add: 13 + (-2) = 11", "Multiply: 11 * (-954) = -10494"], "final_answer": "-10494", "answer_type": "integer", "kind": "expression", "math_text": "(13 + (-2)) * (-954)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -2, \"c\": -954}", "seed": "12340081456579227323", "semantic_fingerprint": "sha256:85d206535f9d6105ba0ba0fd79af37e07e4703ab4dca6db38e5c281126245bed", "generator_version": "3.0"}
{"id": "v3_val_00003945", "prompt": "Calculate: -71 + (-916 + (-9) - (-736))", "solution_steps": ["Add: -916 + (-9) = -925", "Subtract: -925 - (-736) = -189", "Add: -71 + (-189) = -260"], "final_answer": "-260", "answer_type": "integer", "kind": "expression", "math_text": "-71 + (-916 + (-9) - (-736))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -916, \"c\": -9, \"d\": -736}", "seed": "4781444958387055021", "semantic_fingerprint": "sha256:0239cf225b8b1d775bd5a02807ca0f912065897698bf4c543f55b965c0e7c180", "generator_version": "3.0"}
{"id": "v3_val_00003946", "prompt": "Solve the equation 10(x - 852) - 31 = -12(x - 43) + 76 for x.", "solution_steps": ["Expand: 10x - 8520 - 31 = -12(x - 43) + 76", "Expand: 10x - 8520 - 31 = -12x + 516 + 76", "Combine constants: 10x - 8551 = -12x + 516 + 76", "Combine constants: 10x - 8551 = -12x + 592", "Add 12x to both sides: 22x - 8551 = 592", "Add 8551 to both sides: 22x = 9143", "Divide both sides by 22: x = 9143/22"], "final_answer": "9143/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 852) - 31 = -12(x - 43) + 76", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 852, \"c\": 31, \"d\": -12, \"e\": 43, \"f\": 76}", "seed": "10005288057399271801", "semantic_fingerprint": "sha256:725e6e3e4ed28b022afc8ea14877f8c523567d281916e9c8a3f65649a3ae954e", "generator_version": "3.0"}
{"id": "v3_val_00003947", "prompt": "Solve for x: -11(x - 408) = -5x", "solution_steps": ["Expand: -11x + 4488 = -5x", "Add 5x to both sides: -6x + 4488 = 0", "Subtract 4488 from both sides: -6x = -4488", "Divide both sides by -6: x = 748"], "final_answer": "748", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 408) = -5x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 408, \"c\": -5}", "seed": "11899647928192800009", "semantic_fingerprint": "sha256:32259ff70c4706a6631c376e837066f266e37cf89ebf54451cfc4c4762897bc8", "generator_version": "3.0"}
{"id": "v3_val_00003948", "prompt": "Calculate: -977 * (-81)", "solution_steps": ["Multiply: -977 * (-81) = 79137"], "final_answer": "79137", "answer_type": "integer", "kind": "expression", "math_text": "-977 * (-81)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -977, \"b\": -81}", "seed": "14977874937803319494", "semantic_fingerprint": "sha256:d872a816cf8c355aebb808c5127201db61456b480b0f71361f1f009aa50f4106", "generator_version": "3.0"}
{"id": "v3_val_00003949", "prompt": "Find x: 12x - 666 = -8(x + 56) - 138", "solution_steps": ["Expand: 12x - 666 = -8x - 448 - 138", "Combine constants: 12x - 666 = -8x - 586", "Add 8x to both sides: 20x - 666 = -586", "Add 666 to both sides: 20x = 80", "Divide both sides by 20: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 666 = -8(x + 56) - 138", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 666, \"c\": -8, \"d\": 56, \"f\": -138, \"x\": 4}", "seed": "1829583232777396083", "semantic_fingerprint": "sha256:0be11eb921237a69dfbde6dc18432c3dbe32ae73954c571058b2c8e60ee444ad", "generator_version": "3.0"}
{"id": "v3_val_00003950", "prompt": "Calculate: (-7 - 852) / (-71) * (-94)", "solution_steps": ["Subtract: -7 - 852 = -859", "Divide: -859 / (-71) = 859/71", "Multiply: (859/71) * (-94) = -80746/71"], "final_answer": "-80746/71", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - 852) / (-71) * (-94)", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 852, \"c\": -71, \"d\": -94}", "seed": "1223871547225386582", "semantic_fingerprint": "sha256:4bd7e174e01d76f36854e092f0552147a42b15d6c406fba536815786d25c8084", "generator_version": "3.0"}
{"id": "v3_val_00003951", "prompt": "Solve for x: x + 37 = -6(x - 458) - 7", "solution_steps": ["Expand: x + 37 = -6x + 2748 - 7", "Combine constants: x + 37 = -6x + 2741", "Add 6x to both sides: 7x + 37 = 2741", "Subtract 37 from both sides: 7x = 2704", "Divide both sides by 7: x = 2704/7"], "final_answer": "2704/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 37 = -6(x - 458) - 7", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -6, \"c\": 458, \"d\": 7}", "seed": "3953674786030038324", "semantic_fingerprint": "sha256:4daa5a326e6bb7c72326aa471c21ca05f52f32895f99ea652d70cbcf128003d0", "generator_version": "3.0"}
{"id": "v3_val_00003952", "prompt": "Calculate: 21 - (79 - 57 / (-668))", "solution_steps": ["Divide: 57 / (-668) = -57/668", "Subtract: 79 - (-57/668) = 52829/668", "Subtract: 21 - 52829/668 = -38801/668"], "final_answer": "-38801/668", "answer_type": "rational", "kind": "expression", "math_text": "21 - (79 - 57 / (-668))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 79, \"c\": 57, \"d\": -668}", "seed": "1226402835965996157", "semantic_fingerprint": "sha256:047194396ae5828226d44437701789983f52c7ae4205ea91dd99f6745d120ca6", "generator_version": "3.0"}
{"id": "v3_val_00003953", "prompt": "Evaluate: 3 + (3 - (-53) - 61 / 3)", "solution_steps": ["Subtract: 3 - (-53) = 56", "Divide: 61 / 3 = 61/3", "Subtract: 56 - 61/3 = 107/3", "Add: 3 + 107/3 = 116/3"], "final_answer": "116/3", "answer_type": "rational", "kind": "expression", "math_text": "3 + (3 - (-53) - 61 / 3)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": -53, \"d\": 61, \"e\": 3}", "seed": "6208685780790023873", "semantic_fingerprint": "sha256:dedf0862316d2cce20fc846af9b49b679fc565a60c09ba15e09d55d6070c8345", "generator_version": "3.0"}
{"id": "v3_val_00003954", "prompt": "Compute: 8 + (-607) / 82", "solution_steps": ["Divide: -607 / 82 = -607/82", "Add: 8 + (-607/82) = 49/82"], "final_answer": "49/82", "answer_type": "rational", "kind": "expression", "math_text": "8 + (-607) / 82", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -607, \"c\": 82}", "seed": "16017741812210615444", "semantic_fingerprint": "sha256:bf8291279f346f9e4d90bf56bd47672722cedc6a9144ae9f94156673d2748052", "generator_version": "3.0"}
{"id": "v3_val_00003955", "prompt": "Solve for x: 8(x + 43) + 5 = 389", "solution_steps": ["Expand: 8x + 344 + 5 = 389", "Combine constants: 8x + 349 = 389", "Subtract 349 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 + 43) + 5 = 389", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 43, \"c\": 5, \"e\": 389, \"x\": 5}", "seed": "1010241740178333683", "semantic_fingerprint": "sha256:3812511ead0f4b0874f157427c5749bccc3ae2416cf4b761063fa071631ca1f5", "generator_version": "3.0"}
{"id": "v3_val_00003956", "prompt": "Solve the equation 5(x - 7) = -35 for x.", "solution_steps": ["Expand: 5x - 35 = -35", "Add 35 to both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 7) = -35", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"d\": -35, \"x\": 0}", "seed": "13571936347120390355", "semantic_fingerprint": "sha256:d7db002ccb34936f7ea038246cd2dc0c9dcb857f0d4794b00bd2a5027ea73fa6", "generator_version": "3.0"}
{"id": "v3_val_00003957", "prompt": "Calculate: 3 / 71 * (20 / 3 - (-89))", "solution_steps": ["Divide: 3 / 71 = 3/71", "Divide: 20 / 3 = 20/3", "Subtract: 20/3 - (-89) = 287/3", "Multiply: (3/71) * (287/3) = 287/71"], "final_answer": "287/71", "answer_type": "rational", "kind": "expression", "math_text": "3 / 71 * (20 / 3 - (-89))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 71, \"c\": 20, \"d\": 3, \"e\": -89}", "seed": "16444110606269312241", "semantic_fingerprint": "sha256:a1318ffa226a4ef10118d80961d53a6c61d465581b15866f6112acb7981a6d74", "generator_version": "3.0"}
{"id": "v3_val_00003958", "prompt": "Evaluate: -20 + 55", "solution_steps": ["Add: -20 + 55 = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "-20 + 55", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 55}", "seed": "18169455682462674092", "semantic_fingerprint": "sha256:c9f2e10f5a7efb3651fb1c2ba9df08805a6ded9ca8bc665fab479fc84ecd3268", "generator_version": "3.0"}
{"id": "v3_val_00003959", "prompt": "What is 8 * (-84 - (-3))?", "solution_steps": ["Subtract: -84 - (-3) = -81", "Multiply: 8 * (-81) = -648"], "final_answer": "-648", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-84 - (-3))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -84, \"c\": -3}", "seed": "15451184625794109323", "semantic_fingerprint": "sha256:1278d795b496e3b5776800789af21e0b5fbd1c15823f98655b8e2953e2ec2855", "generator_version": "3.0"}
{"id": "v3_val_00003960", "prompt": "Solve the equation 9(x - 74) = 10(x - 69) for x.", "solution_steps": ["Expand: 9x - 666 = 10(x - 69)", "Expand: 9x - 666 = 10x - 690", "Subtract 10x from both sides: -x - 666 = -690", "Add 666 to both sides: -x = -24", "Divide both sides by -1: x = 24"], "final_answer": "24", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 74) = 10(x - 69)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 74, \"c\": 10, \"d\": 69}", "seed": "6370916142250424159", "semantic_fingerprint": "sha256:7919df3484af28f08168017de58fbf64d351c4ca3853460194b235284a7c81b7", "generator_version": "3.0"}
{"id": "v3_val_00003961", "prompt": "Find x: -10x = x + 6", "solution_steps": ["Subtract x from both sides: -11x = 6", "Divide both sides by -11: x = -6/11"], "final_answer": "-6/11", "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": "16454799138042334675", "semantic_fingerprint": "sha256:cfcfecde056403df895c80e67067f51f48aa2e096bc552eb6252eb1f0d4097fa", "generator_version": "3.0"}
{"id": "v3_val_00003962", "prompt": "Calculate: -145 / 840 * (-303 * (-248))", "solution_steps": ["Divide: -145 / 840 = -29/168", "Multiply: -303 * (-248) = 75144", "Multiply: (-29/168) * 75144 = -90799/7"], "final_answer": "-90799/7", "answer_type": "rational", "kind": "expression", "math_text": "-145 / 840 * (-303 * (-248))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -145, \"b\": 840, \"c\": -303, \"d\": -248}", "seed": "15201789344574863290", "semantic_fingerprint": "sha256:07427684f5d82e2b148136b636acb63fde4316c041924a95d1753dd5b6a7493b", "generator_version": "3.0"}
{"id": "v3_val_00003963", "prompt": "Evaluate: -28 + (452 - 39)", "solution_steps": ["Subtract: 452 - 39 = 413", "Add: -28 + 413 = 385"], "final_answer": "385", "answer_type": "integer", "kind": "expression", "math_text": "-28 + (452 - 39)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 452, \"c\": 39}", "seed": "4245227550427529890", "semantic_fingerprint": "sha256:cda6b913b9cc32615dfa2ca2e7472255a0b119479134a21be2cde7fd11beca62", "generator_version": "3.0"}
{"id": "v3_val_00003964", "prompt": "What value of x satisfies 11(x + 760) = -8(x - 39)?", "solution_steps": ["Expand: 11x + 8360 = -8(x - 39)", "Expand: 11x + 8360 = -8x + 312", "Add 8x to both sides: 19x + 8360 = 312", "Subtract 8360 from both sides: 19x = -8048", "Divide both sides by 19: x = -8048/19"], "final_answer": "-8048/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 760) = -8(x - 39)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 760, \"c\": -8, \"d\": 39}", "seed": "14801711683992215101", "semantic_fingerprint": "sha256:7f9a328872f25c3137bc4f779cdae86375c22088de68d2627e1a4d9ff8de0a69", "generator_version": "3.0"}
{"id": "v3_val_00003965", "prompt": "What is -10 * (-35) - (-891) / 7?", "solution_steps": ["Multiply: -10 * (-35) = 350", "Divide: -891 / 7 = -891/7", "Subtract: 350 - (-891/7) = 3341/7"], "final_answer": "3341/7", "answer_type": "rational", "kind": "expression", "math_text": "-10 * (-35) - (-891) / 7", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -35, \"c\": -891, \"d\": 7}", "seed": "645901978352674726", "semantic_fingerprint": "sha256:d4d837ffca00ad5bbdd50b72db3db2819eefa56ec481e7233d6ba508f6cac7ef", "generator_version": "3.0"}
{"id": "v3_val_00003966", "prompt": "Compute: 88 - (90 - (-712)) + (-766 + (7 + (-569)))", "solution_steps": ["Subtract: 90 - (-712) = 802", "Subtract: 88 - 802 = -714", "Add: 7 + (-569) = -562", "Add: -766 + (-562) = -1328", "Add: -714 + (-1328) = -2042"], "final_answer": "-2042", "answer_type": "integer", "kind": "expression", "math_text": "88 - (90 - (-712)) + (-766 + (7 + (-569)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 90, \"c\": -712, \"d\": -766, \"e\": 7, \"f\": -569}", "seed": "16413623652206125322", "semantic_fingerprint": "sha256:7eabe0a007e431e82c9b8f8172ce27f51a38bb004cd5430acd97bd84831f87e6", "generator_version": "3.0"}
{"id": "v3_val_00003967", "prompt": "Calculate: 8 / (69 + (-51)) / 4 / (-78)", "solution_steps": ["Add: 69 + (-51) = 18", "Divide: 8 / 18 = 4/9", "Divide: (4/9) / 4 = 1/9", "Divide: (1/9) / (-78) = -1/702"], "final_answer": "-1/702", "answer_type": "rational", "kind": "expression", "math_text": "8 / (69 + (-51)) / 4 / (-78)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 69, \"c\": -51, \"d\": 4, \"e\": -78}", "seed": "1182412685588852568", "semantic_fingerprint": "sha256:b0300efdd4e52ba4ba3d968ab43d57cea9ae9e8a97227ecfa09c1dc0197418dd", "generator_version": "3.0"}
{"id": "v3_val_00003968", "prompt": "Calculate: -900 + (-25)", "solution_steps": ["Add: -900 + (-25) = -925"], "final_answer": "-925", "answer_type": "integer", "kind": "expression", "math_text": "-900 + (-25)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -900, \"b\": -25}", "seed": "7627276691963116444", "semantic_fingerprint": "sha256:22a968bfbbf8981d97fa0053e8575fbf9311cf353dfe1d1bb3adaa87f87348b9", "generator_version": "3.0"}
{"id": "v3_val_00003969", "prompt": "Solve the equation 9x = 10(x + 87) for x.", "solution_steps": ["Expand: 9x = 10x + 870", "Subtract 10x from both sides: -x = 870", "Divide both sides by -1: x = -870"], "final_answer": "-870", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 10(x + 87)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": 87}", "seed": "2738259265370755275", "semantic_fingerprint": "sha256:53dc60744d7fda61ae33b4731b19a03edd55e2bbe428645f6fcd9ec5eb7dd349", "generator_version": "3.0"}
{"id": "v3_val_00003970", "prompt": "Find x: -3(x - 13) - 66 = 6x - 6", "solution_steps": ["Expand: -3x + 39 - 66 = 6x - 6", "Combine constants: -3x - 27 = 6x - 6", "Subtract 6x from both sides: -9x - 27 = -6", "Add 27 to both sides: -9x = 21", "Divide both sides by -9: x = -7/3"], "final_answer": "-7/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 13) - 66 = 6x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 13, \"c\": 66, \"d\": 6, \"e\": 6}", "seed": "15592812394822169696", "semantic_fingerprint": "sha256:cfaf657da23092e8f27c7d4769d54742d06e4b9b4052dd1591cc5dacad40d570", "generator_version": "3.0"}
{"id": "v3_val_00003971", "prompt": "What value of x satisfies 6(x - 3) = x?", "solution_steps": ["Expand: 6x - 18 = x", "Subtract x from both sides: 5x - 18 = 0", "Add 18 to both sides: 5x = 18", "Divide both sides by 5: x = 18/5"], "final_answer": "18/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 3) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3}", "seed": "17858144674545244002", "semantic_fingerprint": "sha256:77032bf1e58173270a14a1570ab3e540e6674a9f4814227465d47e4c2b7ed79c", "generator_version": "3.0"}
{"id": "v3_val_00003972", "prompt": "Find x: -7x - 931 = x - 883", "solution_steps": ["Subtract x from both sides: -8x - 931 = -883", "Add 931 to both sides: -8x = 48", "Divide both sides by -8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 931 = x - 883", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 931, \"d\": -883, \"x\": -6}", "seed": "15139339040904024739", "semantic_fingerprint": "sha256:888c4408d4b5d2b65716ca909f76e908ff691a03a9ef9373539d0099ffb46573", "generator_version": "3.0"}
{"id": "v3_val_00003973", "prompt": "Solve the equation x - 42 = 9 for x.", "solution_steps": ["Add 42 to both sides: x = 51"], "final_answer": "51", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 42 = 9", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 9}", "seed": "14431841745928570210", "semantic_fingerprint": "sha256:b19225384aedca6e15e4843029cb56452d63ac32198ebe811b90c37370750dff", "generator_version": "3.0"}
{"id": "v3_val_00003974", "prompt": "Calculate: 1 / (-34 + 89)", "solution_steps": ["Add: -34 + 89 = 55", "Divide: 1 / 55 = 1/55"], "final_answer": "1/55", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-34 + 89)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -34, \"c\": 89}", "seed": "4419466942631504770", "semantic_fingerprint": "sha256:8fa3770082714cea78fc9c5245d314bc955f86aba0cdbc861872f5b5c0ccb0a4", "generator_version": "3.0"}
{"id": "v3_val_00003975", "prompt": "Compute: 28 + 262", "solution_steps": ["Add: 28 + 262 = 290"], "final_answer": "290", "answer_type": "integer", "kind": "expression", "math_text": "28 + 262", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 262}", "seed": "1115922783314720897", "semantic_fingerprint": "sha256:2ac51421a9af5642458d37ddfa9101ee8b6025e33ba802986118f0c5023e0e6e", "generator_version": "3.0"}
{"id": "v3_val_00003976", "prompt": "Solve the equation 10x + 74 = 3(x + 808) + 98 for x.", "solution_steps": ["Expand: 10x + 74 = 3x + 2424 + 98", "Combine constants: 10x + 74 = 3x + 2522", "Subtract 3x from both sides: 7x + 74 = 2522", "Subtract 74 from both sides: 7x = 2448", "Divide both sides by 7: x = 2448/7"], "final_answer": "2448/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x + 74 = 3(x + 808) + 98", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 74, \"c\": 3, \"d\": 808, \"e\": 98}", "seed": "999460008132997337", "semantic_fingerprint": "sha256:23f3305129d8cc49c0e5993bdf0e0efc468d8ae13ac5cca2d5e1960c38d09fac", "generator_version": "3.0"}
{"id": "v3_val_00003977", "prompt": "What value of x satisfies x - 539 = 23?", "solution_steps": ["Add 539 to both sides: x = 562"], "final_answer": "562", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 539 = 23", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 539, \"b\": 23}", "seed": "10405314748119759200", "semantic_fingerprint": "sha256:28ec6a6cc5d59388b1c0e66b23298a34da0c958a03552e352cd9f3325e4e157c", "generator_version": "3.0"}
{"id": "v3_val_00003978", "prompt": "Evaluate: 542 - (-42 + 7)", "solution_steps": ["Add: -42 + 7 = -35", "Subtract: 542 - (-35) = 577"], "final_answer": "577", "answer_type": "integer", "kind": "expression", "math_text": "542 - (-42 + 7)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 542, \"b\": -42, \"c\": 7}", "seed": "8550077324163151488", "semantic_fingerprint": "sha256:642fcb73f4111e499cb62f2a959fdec6955685934c45325ae5e1a17c90b41826", "generator_version": "3.0"}
{"id": "v3_val_00003979", "prompt": "What is 978 / (-218) / (-9)?", "solution_steps": ["Divide: 978 / (-218) = -489/109", "Divide: (-489/109) / (-9) = 163/327"], "final_answer": "163/327", "answer_type": "rational", "kind": "expression", "math_text": "978 / (-218) / (-9)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 978, \"b\": -218, \"c\": -9}", "seed": "13151684888013251172", "semantic_fingerprint": "sha256:5984bfc421f6d894ec89a3b798b4708a4636c40bf7a0b7758c3a776c2d558d98", "generator_version": "3.0"}
{"id": "v3_val_00003980", "prompt": "Solve the equation 5(x - 348) - 332 = x - 925 for x.", "solution_steps": ["Expand: 5x - 1740 - 332 = x - 925", "Combine constants: 5x - 2072 = x - 925", "Subtract x from both sides: 4x - 2072 = -925", "Add 2072 to both sides: 4x = 1147", "Divide both sides by 4: x = 1147/4"], "final_answer": "1147/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 348) - 332 = x - 925", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 348, \"c\": 332, \"d\": 925}", "seed": "8091469012237331543", "semantic_fingerprint": "sha256:c5a8978875fe3ef8bc5121bb23c7ccd0c2fd398af058c8c00533dd141d2e6e05", "generator_version": "3.0"}
{"id": "v3_val_00003981", "prompt": "Find x: -4(x + 26) - 50 = 7x", "solution_steps": ["Expand: -4x - 104 - 50 = 7x", "Combine constants: -4x - 154 = 7x", "Subtract 7x from both sides: -11x - 154 = 0", "Add 154 to both sides: -11x = 154", "Divide both sides by -11: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 26) - 50 = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 26, \"c\": 7, \"e\": -50, \"x\": -14}", "seed": "10104304379832648377", "semantic_fingerprint": "sha256:ab65b1a6a1cb341ca28c94ae0b2e28b31b5250442da88d19def225c618fc0105", "generator_version": "3.0"}
{"id": "v3_val_00003982", "prompt": "Evaluate: 5 - 9 - 14 + 877", "solution_steps": ["Subtract: 5 - 9 = -4", "Subtract: -4 - 14 = -18", "Add: -18 + 877 = 859"], "final_answer": "859", "answer_type": "integer", "kind": "expression", "math_text": "5 - 9 - 14 + 877", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 14, \"d\": 877}", "seed": "5600554418480140879", "semantic_fingerprint": "sha256:cf7f200ba51ab7683ed391281ae70bd77f0d7939ced1b58e75e5fbf10f054713", "generator_version": "3.0"}
{"id": "v3_val_00003983", "prompt": "What value of x satisfies 8x + 5 = x?", "solution_steps": ["Subtract x 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": "8x + 5 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5}", "seed": "5537713199355323005", "semantic_fingerprint": "sha256:f8153abbbb0e2cd7de656963fb2beccb646b4807c86ed0ebfc5a749b1e8790cd", "generator_version": "3.0"}
{"id": "v3_val_00003984", "prompt": "Evaluate: -81 * 97 * 6", "solution_steps": ["Multiply: -81 * 97 = -7857", "Multiply: -7857 * 6 = -47142"], "final_answer": "-47142", "answer_type": "integer", "kind": "expression", "math_text": "-81 * 97 * 6", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 97, \"c\": 6}", "seed": "1398054029867442199", "semantic_fingerprint": "sha256:e63c466f2ae7225f62d165cb1f8738857f55a7874872462f5d9f0f0ae3b21a2e", "generator_version": "3.0"}
{"id": "v3_val_00003985", "prompt": "Solve the equation -10(x - 17) - 204 = 10(x + 3) + 196 for x.", "solution_steps": ["Expand: -10x + 170 - 204 = 10(x + 3) + 196", "Expand: -10x + 170 - 204 = 10x + 30 + 196", "Combine constants: -10x - 34 = 10x + 30 + 196", "Combine constants: -10x - 34 = 10x + 226", "Subtract 10x from both sides: -20x - 34 = 226", "Add 34 to both sides: -20x = 260", "Divide both sides by -20: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 17) - 204 = 10(x + 3) + 196", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 17, \"c\": 204, \"d\": 10, \"e\": 3, \"g\": 196, \"x\": -13}", "seed": "14777609649101762816", "semantic_fingerprint": "sha256:33d44040417864b2e33f32909849cd2a8f0b1d7f7b81719c56fb7d3c7d94ab36", "generator_version": "3.0"}
{"id": "v3_val_00003986", "prompt": "Solve the equation 10x + 1 = 6(x + 669) + 737 for x.", "solution_steps": ["Expand: 10x + 1 = 6x + 4014 + 737", "Combine constants: 10x + 1 = 6x + 4751", "Subtract 6x from both sides: 4x + 1 = 4751", "Subtract 1 from both sides: 4x = 4750", "Divide both sides by 4: x = 2375/2"], "final_answer": "2375/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x + 1 = 6(x + 669) + 737", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 6, \"d\": 669, \"e\": 737}", "seed": "3775082951323593746", "semantic_fingerprint": "sha256:52b943ce38261972d74ed1d6f340261ad0ff97322b6d02920f0c1a6e24e01dbc", "generator_version": "3.0"}
{"id": "v3_val_00003987", "prompt": "Calculate: (-571 + (-2) - (-974 - 446)) * 88", "solution_steps": ["Add: -571 + (-2) = -573", "Subtract: -974 - 446 = -1420", "Subtract: -573 - (-1420) = 847", "Multiply: 847 * 88 = 74536"], "final_answer": "74536", "answer_type": "integer", "kind": "expression", "math_text": "(-571 + (-2) - (-974 - 446)) * 88", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -571, \"b\": -2, \"c\": -974, \"d\": 446, \"e\": 88}", "seed": "8050150611479306723", "semantic_fingerprint": "sha256:d400983e89d0a6c4ff8acf6f68dedd84769cb4ec4b78f3ae0809e3b79678f201", "generator_version": "3.0"}
{"id": "v3_val_00003988", "prompt": "Calculate: 84 / (57 / 22)", "solution_steps": ["Divide: 57 / 22 = 57/22", "Divide: 84 / (57/22) = 616/19"], "final_answer": "616/19", "answer_type": "rational", "kind": "expression", "math_text": "84 / (57 / 22)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 57, \"c\": 22}", "seed": "11629562731214526560", "semantic_fingerprint": "sha256:33528a5c4a8848cc8c58f3eee24d762a75d1ae616b74d62ce71bc9e126004f05", "generator_version": "3.0"}
{"id": "v3_val_00003989", "prompt": "Solve the equation -11x - 483 = 4(x - 72) + 8 for x.", "solution_steps": ["Expand: -11x - 483 = 4x - 288 + 8", "Combine constants: -11x - 483 = 4x - 280", "Subtract 4x from both sides: -15x - 483 = -280", "Add 483 to both sides: -15x = 203", "Divide both sides by -15: x = -203/15"], "final_answer": "-203/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x - 483 = 4(x - 72) + 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 483, \"c\": 4, \"d\": 72, \"e\": 8}", "seed": "10527966591640200371", "semantic_fingerprint": "sha256:10dc148acb61d9b634bcf79264d570703484f71460da0847225da4cabdebdcd6", "generator_version": "3.0"}
{"id": "v3_val_00003990", "prompt": "Find x: x = 6x - 287", "solution_steps": ["Subtract 6x from both sides: -5x = -287", "Divide both sides by -5: x = 287/5"], "final_answer": "287/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 6x - 287", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 287}", "seed": "16602586356263302680", "semantic_fingerprint": "sha256:24c7fcdcc9277c071c583eac93ead058cd244699e3902c22303f5ff60ad306ef", "generator_version": "3.0"}
{"id": "v3_val_00003991", "prompt": "Find x: 8x - 3 = 149", "solution_steps": ["Add 3 to both sides: 8x = 152", "Divide both sides by 8: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 3 = 149", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"d\": 149, \"x\": 19}", "seed": "5447174042327005737", "semantic_fingerprint": "sha256:881e2f3bf1c12f3f4361dec07d92b6bbcac13912a020f89a863556dd404cb508", "generator_version": "3.0"}
{"id": "v3_val_00003992", "prompt": "Find x: 5(x - 1) = -10(x + 45) + 325", "solution_steps": ["Expand: 5x - 5 = -10(x + 45) + 325", "Expand: 5x - 5 = -10x - 450 + 325", "Combine constants: 5x - 5 = -10x - 125", "Add 10x to both sides: 15x - 5 = -125", "Add 5 to both sides: 15x = -120", "Divide both sides by 15: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 1) = -10(x + 45) + 325", "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\": -10, \"d\": 45, \"f\": 325, \"x\": -8}", "seed": "13974312978327916502", "semantic_fingerprint": "sha256:e34535f127c754a5a5a8a217449713cb8544a2f53aead65c23991ec03ab14307", "generator_version": "3.0"}
{"id": "v3_val_00003993", "prompt": "Calculate: (-7 + 82) / 67", "solution_steps": ["Add: -7 + 82 = 75", "Divide: 75 / 67 = 75/67"], "final_answer": "75/67", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + 82) / 67", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 82, \"c\": 67}", "seed": "12188671719460241446", "semantic_fingerprint": "sha256:a70a0b8014dee985a0501724d59956f157921f236b43f0c06e8febffe0acd623", "generator_version": "3.0"}
{"id": "v3_val_00003994", "prompt": "Evaluate: (-9 + 5 / 110) / 90", "solution_steps": ["Divide: 5 / 110 = 1/22", "Add: -9 + 1/22 = -197/22", "Divide: (-197/22) / 90 = -197/1980"], "final_answer": "-197/1980", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + 5 / 110) / 90", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 110, \"d\": 90}", "seed": "633969351459653151", "semantic_fingerprint": "sha256:c7c4d58dbf6546d0585530b4501d7749e79c7bb523624a354c23044e15441e90", "generator_version": "3.0"}
{"id": "v3_val_00003995", "prompt": "What is (39 - 8) * 8?", "solution_steps": ["Subtract: 39 - 8 = 31", "Multiply: 31 * 8 = 248"], "final_answer": "248", "answer_type": "integer", "kind": "expression", "math_text": "(39 - 8) * 8", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 8, \"c\": 8}", "seed": "12885760691842365223", "semantic_fingerprint": "sha256:825ef80fd05b04e78004e33268ccc942043bb0a89c77966936d2d77c3b9ef8f6", "generator_version": "3.0"}
{"id": "v3_val_00003996", "prompt": "What is (0 - (-46)) * 40?", "solution_steps": ["Subtract: 0 - (-46) = 46", "Multiply: 46 * 40 = 1840"], "final_answer": "1840", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-46)) * 40", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -46, \"c\": 40}", "seed": "11715929448642422032", "semantic_fingerprint": "sha256:61c5dde49b1aa3e8e46bc2c75fbd1b52d298706ba895f56b6671bb25f8d3e4e6", "generator_version": "3.0"}
{"id": "v3_val_00003997", "prompt": "Evaluate: -191 + (8 - 54)", "solution_steps": ["Subtract: 8 - 54 = -46", "Add: -191 + (-46) = -237"], "final_answer": "-237", "answer_type": "integer", "kind": "expression", "math_text": "-191 + (8 - 54)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -191, \"b\": 8, \"c\": 54}", "seed": "5572340961722301227", "semantic_fingerprint": "sha256:66746ffc5e2b13738a49a07e71c7bf19384a834b4146cbbe0041f3d5590b1d9f", "generator_version": "3.0"}
{"id": "v3_val_00003998", "prompt": "What value of x satisfies 8(x - 5) + 53 = x + 139?", "solution_steps": ["Expand: 8x - 40 + 53 = x + 139", "Combine constants: 8x + 13 = x + 139", "Subtract x from both sides: 7x + 13 = 139", "Subtract 13 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 - 5) + 53 = x + 139", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 53, \"e\": 139, \"x\": 18}", "seed": "18080098586795983152", "semantic_fingerprint": "sha256:82011f9b4846f0866c1444238fdca7c775565528e42d4718df1de5f389e9c9f5", "generator_version": "3.0"}
{"id": "v3_val_00003999", "prompt": "Evaluate: 93 - (-7) + (-2)", "solution_steps": ["Subtract: 93 - (-7) = 100", "Add: 100 + (-2) = 98"], "final_answer": "98", "answer_type": "integer", "kind": "expression", "math_text": "93 - (-7) + (-2)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -7, \"c\": -2}", "seed": "2571916393699302467", "semantic_fingerprint": "sha256:bc624d945654d62703fc5710046ab955234e23fc58134e790c900345b0007d5f", "generator_version": "3.0"}
{"id": "v3_val_00004000", "prompt": "Compute: 29 - (-8 - (-28) - (-38 + (-4)))", "solution_steps": ["Subtract: -8 - (-28) = 20", "Add: -38 + (-4) = -42", "Subtract: 20 - (-42) = 62", "Subtract: 29 - 62 = -33"], "final_answer": "-33", "answer_type": "integer", "kind": "expression", "math_text": "29 - (-8 - (-28) - (-38 + (-4)))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -8, \"c\": -28, \"d\": -38, \"e\": -4}", "seed": "14723200708982635261", "semantic_fingerprint": "sha256:dd2f9ca0a497676b954b7bf70c87e73266c997f6765b4184e34e44fdf14516ae", "generator_version": "3.0"}
{"id": "v3_val_00004001", "prompt": "Evaluate: (8 + (-28)) / (-7)", "solution_steps": ["Add: 8 + (-28) = -20", "Divide: -20 / (-7) = 20/7"], "final_answer": "20/7", "answer_type": "rational", "kind": "expression", "math_text": "(8 + (-28)) / (-7)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -28, \"c\": -7}", "seed": "16252686690343248745", "semantic_fingerprint": "sha256:afca9169658d9fb91f30e9e72b72ae5e365c403badca6a0a5414428d56d5f787", "generator_version": "3.0"}
{"id": "v3_val_00004002", "prompt": "Solve the equation 7(x + 536) - 946 = 11(x - 7) for x.", "solution_steps": ["Expand: 7x + 3752 - 946 = 11(x - 7)", "Expand: 7x + 3752 - 946 = 11x - 77", "Combine constants: 7x + 2806 = 11x - 77", "Subtract 11x from both sides: -4x + 2806 = -77", "Subtract 2806 from both sides: -4x = -2883", "Divide both sides by -4: x = 2883/4"], "final_answer": "2883/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 536) - 946 = 11(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 536, \"c\": 946, \"d\": 11, \"e\": 7}", "seed": "2390940491270158595", "semantic_fingerprint": "sha256:75d98aafac53035de2622661dad25c6926e4d580e879e8670aa66862b62d9ed0", "generator_version": "3.0"}
{"id": "v3_val_00004003", "prompt": "Calculate: -21 / (-2) + (-53)", "solution_steps": ["Divide: -21 / (-2) = 21/2", "Add: 21/2 + (-53) = -85/2"], "final_answer": "-85/2", "answer_type": "rational", "kind": "expression", "math_text": "-21 / (-2) + (-53)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -2, \"c\": -53}", "seed": "15891888637465245532", "semantic_fingerprint": "sha256:9d413e5d3cebb2e89666bbf05e8b91e8b2c91070804dac569d7b42c995f8ecde", "generator_version": "3.0"}
{"id": "v3_val_00004004", "prompt": "Calculate: 335 / 638 * (379 * 5)", "solution_steps": ["Divide: 335 / 638 = 335/638", "Multiply: 379 * 5 = 1895", "Multiply: (335/638) * 1895 = 634825/638"], "final_answer": "634825/638", "answer_type": "rational", "kind": "expression", "math_text": "335 / 638 * (379 * 5)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 335, \"b\": 638, \"c\": 379, \"d\": 5}", "seed": "127042114344386756", "semantic_fingerprint": "sha256:8b27dc9f5d3cb750b06a6eed4cf5a5986c1dbaa24a356016944c0c0d6528570a", "generator_version": "3.0"}
{"id": "v3_val_00004005", "prompt": "Evaluate: 92 + 0", "solution_steps": ["Add: 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": "7325082779021724729", "semantic_fingerprint": "sha256:99fa9dcccd54f3b300fe032809aa12f2bedb0f7b68d9f82b624721989fbf4ace", "generator_version": "3.0"}
{"id": "v3_val_00004006", "prompt": "Evaluate: -1 * (4 / (-474) * (-134))", "solution_steps": ["Divide: 4 / (-474) = -2/237", "Multiply: (-2/237) * (-134) = 268/237", "Multiply: -1 * (268/237) = -268/237"], "final_answer": "-268/237", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (4 / (-474) * (-134))", "variable": null, "family": "expression_3op", "shape": "(* n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 4, \"c\": -474, \"d\": -134}", "seed": "5549110311148848549", "semantic_fingerprint": "sha256:7a17594c38f5a3c71191be50c5c261e35247c7cf91b471f42f63588083f9978b", "generator_version": "3.0"}
{"id": "v3_val_00004007", "prompt": "Find x: 3x + 6 = 11(x - 20) - 113", "solution_steps": ["Expand: 3x + 6 = 11x - 220 - 113", "Combine constants: 3x + 6 = 11x - 333", "Subtract 11x from both sides: -8x + 6 = -333", "Subtract 6 from both sides: -8x = -339", "Divide both sides by -8: x = 339/8"], "final_answer": "339/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x + 6 = 11(x - 20) - 113", "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\": 20, \"e\": 113}", "seed": "7431505599071972676", "semantic_fingerprint": "sha256:94f2ddf96b45b5095ea654fab9011e1f8c08ac5d2abc3a56ef0192e79e5cbf8c", "generator_version": "3.0"}
{"id": "v3_val_00004008", "prompt": "What is -557 + (5 - (-9 - 48))?", "solution_steps": ["Subtract: -9 - 48 = -57", "Subtract: 5 - (-57) = 62", "Add: -557 + 62 = -495"], "final_answer": "-495", "answer_type": "integer", "kind": "expression", "math_text": "-557 + (5 - (-9 - 48))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -557, \"b\": 5, \"c\": -9, \"d\": 48}", "seed": "13226627329665415394", "semantic_fingerprint": "sha256:f8bbc3135f85d21c08d65a5149be242e4a05317080c13b698ec28174e0c829ef", "generator_version": "3.0"}
{"id": "v3_val_00004009", "prompt": "What value of x satisfies 7(x - 3) + 78 = x?", "solution_steps": ["Expand: 7x - 21 + 78 = x", "Combine constants: 7x + 57 = x", "Subtract x from both sides: 6x + 57 = 0", "Subtract 57 from both sides: 6x = -57", "Divide both sides by 6: x = -19/2"], "final_answer": "-19/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 3) + 78 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 78}", "seed": "8061807334492849062", "semantic_fingerprint": "sha256:6fc06ef41d29d1780af32ceb34624b32121a0a004444aee68b8cf905e9283425", "generator_version": "3.0"}
{"id": "v3_val_00004010", "prompt": "Compute: (-6 - 56) / 8 + 56", "solution_steps": ["Subtract: -6 - 56 = -62", "Divide: -62 / 8 = -31/4", "Add: -31/4 + 56 = 193/4"], "final_answer": "193/4", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - 56) / 8 + 56", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 56, \"c\": 8, \"d\": 56}", "seed": "13170180467161291456", "semantic_fingerprint": "sha256:8db8cd012dab2b90649f2b7460e6434ae99e391732d8e435113986f2b0bf46e1", "generator_version": "3.0"}
{"id": "v3_val_00004011", "prompt": "Evaluate: (67 - 34) / (-508) - (-52)", "solution_steps": ["Subtract: 67 - 34 = 33", "Divide: 33 / (-508) = -33/508", "Subtract: -33/508 - (-52) = 26383/508"], "final_answer": "26383/508", "answer_type": "rational", "kind": "expression", "math_text": "(67 - 34) / (-508) - (-52)", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 34, \"c\": -508, \"d\": -52}", "seed": "3883337355448215606", "semantic_fingerprint": "sha256:39463958a89cff5f8beb795a83de234be65a2ce0d78efc852be330bb10ae4579", "generator_version": "3.0"}
{"id": "v3_val_00004012", "prompt": "Evaluate: -9 - (934 * (-176) + 21 * 46)", "solution_steps": ["Multiply: 934 * (-176) = -164384", "Multiply: 21 * 46 = 966", "Add: -164384 + 966 = -163418", "Subtract: -9 - (-163418) = 163409"], "final_answer": "163409", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (934 * (-176) + 21 * 46)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 934, \"c\": -176, \"d\": 21, \"e\": 46}", "seed": "1639288900018208645", "semantic_fingerprint": "sha256:c68777d189dc78fe0d6cda4ae4d87222b47cb01aa84c279f3990baa1111eacf3", "generator_version": "3.0"}
{"id": "v3_val_00004013", "prompt": "Calculate: (-15 - (-5 + 589 - 422)) / (-920)", "solution_steps": ["Add: -5 + 589 = 584", "Subtract: 584 - 422 = 162", "Subtract: -15 - 162 = -177", "Divide: -177 / (-920) = 177/920"], "final_answer": "177/920", "answer_type": "rational", "kind": "expression", "math_text": "(-15 - (-5 + 589 - 422)) / (-920)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -5, \"c\": 589, \"d\": 422, \"e\": -920}", "seed": "5194888619051942849", "semantic_fingerprint": "sha256:a0cee80f04acc89efa8f10df0e2a8c122869878acbc8385d340a36745d173059", "generator_version": "3.0"}
{"id": "v3_val_00004014", "prompt": "What is -553 / (-59) - (-5)?", "solution_steps": ["Divide: -553 / (-59) = 553/59", "Subtract: 553/59 - (-5) = 848/59"], "final_answer": "848/59", "answer_type": "rational", "kind": "expression", "math_text": "-553 / (-59) - (-5)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -553, \"b\": -59, \"c\": -5}", "seed": "12645079486709125854", "semantic_fingerprint": "sha256:892e10721b1fd36e3a96b2ca37f30c91be01ff2cdc24446c9e286b9dfaeea8c1", "generator_version": "3.0"}
{"id": "v3_val_00004015", "prompt": "Find x: 2x = 9(x + 29)", "solution_steps": ["Expand: 2x = 9x + 261", "Subtract 9x from both sides: -7x = 261", "Divide both sides by -7: x = -261/7"], "final_answer": "-261/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 9(x + 29)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 29}", "seed": "706988134038284343", "semantic_fingerprint": "sha256:c249db163dac49b9dd97b52caae3a3b355ed2d47e813117627a8275745b0e797", "generator_version": "3.0"}
{"id": "v3_val_00004016", "prompt": "What value of x satisfies 7x - 9 = 10x?", "solution_steps": ["Subtract 10x from both sides: -3x - 9 = 0", "Add 9 to both sides: -3x = 9", "Divide both sides by -3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 9 = 10x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"d\": -9, \"x\": -3}", "seed": "3009433163637767123", "semantic_fingerprint": "sha256:beb8fc9dd6e92ebac8e0d1b674ecf61d4d171e12102b96d5b9b7dcf717f100a1", "generator_version": "3.0"}
{"id": "v3_val_00004017", "prompt": "Solve for x: 2(x + 126) - 839 = 6(x - 19) - 553", "solution_steps": ["Expand: 2x + 252 - 839 = 6(x - 19) - 553", "Expand: 2x + 252 - 839 = 6x - 114 - 553", "Combine constants: 2x - 587 = 6x - 114 - 553", "Combine constants: 2x - 587 = 6x - 667", "Subtract 6x from both sides: -4x - 587 = -667", "Add 587 to both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 126) - 839 = 6(x - 19) - 553", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 126, \"c\": 839, \"d\": 6, \"e\": 19, \"g\": -553, \"x\": 20}", "seed": "1905639195531055522", "semantic_fingerprint": "sha256:624c39713fe9120ff7d17cab63fc1ab51fa90b911b661a1679486ecc1d76e9e4", "generator_version": "3.0"}
{"id": "v3_val_00004018", "prompt": "Evaluate: 41 * (682 - (-7)) + (709 + (-1))", "solution_steps": ["Subtract: 682 - (-7) = 689", "Multiply: 41 * 689 = 28249", "Add: 709 + (-1) = 708", "Add: 28249 + 708 = 28957"], "final_answer": "28957", "answer_type": "integer", "kind": "expression", "math_text": "41 * (682 - (-7)) + (709 + (-1))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 682, \"c\": -7, \"d\": 709, \"e\": -1}", "seed": "8802505315909929083", "semantic_fingerprint": "sha256:b5adb78369c8b52055ff6e6631fb094a8501983693b3e06c1a771cbe497116a6", "generator_version": "3.0"}
{"id": "v3_val_00004019", "prompt": "Solve for x: 9x = -12x + 105", "solution_steps": ["Add 12x to both sides: 21x = 105", "Divide both sides by 21: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = -12x + 105", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -12, \"d\": 105, \"x\": 5}", "seed": "1754311434054019948", "semantic_fingerprint": "sha256:354ece0e176ae881bed5bdbd6cb868bdcd89ecfc6477f9ea52f36e6a8ddc6743", "generator_version": "3.0"}
{"id": "v3_val_00004020", "prompt": "What is -37 * (-2) - (673 + (-86)) / (-2)?", "solution_steps": ["Multiply: -37 * (-2) = 74", "Add: 673 + (-86) = 587", "Divide: 587 / (-2) = -587/2", "Subtract: 74 - (-587/2) = 735/2"], "final_answer": "735/2", "answer_type": "rational", "kind": "expression", "math_text": "-37 * (-2) - (673 + (-86)) / (-2)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -2, \"c\": 673, \"d\": -86, \"e\": -2}", "seed": "10119558473510687599", "semantic_fingerprint": "sha256:9146baa76744fe6994b000850ecfa7b2af8c6e259964be9045ce4b9b21405754", "generator_version": "3.0"}
{"id": "v3_val_00004021", "prompt": "What is -94 * (-94 / 89) * (-12) / (-4)?", "solution_steps": ["Divide: -94 / 89 = -94/89", "Multiply: -94 * (-94/89) = 8836/89", "Multiply: (8836/89) * (-12) = -106032/89", "Divide: (-106032/89) / (-4) = 26508/89"], "final_answer": "26508/89", "answer_type": "rational", "kind": "expression", "math_text": "-94 * (-94 / 89) * (-12) / (-4)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -94, \"c\": 89, \"d\": -12, \"e\": -4}", "seed": "9222013996860401363", "semantic_fingerprint": "sha256:7b5f3652cea3abd61b49370e21b668586b7a6c1463c3111e7e5aa77b874c5a66", "generator_version": "3.0"}
{"id": "v3_val_00004022", "prompt": "What value of x satisfies 9(x + 114) + 9 = 6x + 344?", "solution_steps": ["Expand: 9x + 1026 + 9 = 6x + 344", "Combine constants: 9x + 1035 = 6x + 344", "Subtract 6x from both sides: 3x + 1035 = 344", "Subtract 1035 from both sides: 3x = -691", "Divide both sides by 3: x = -691/3"], "final_answer": "-691/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 114) + 9 = 6x + 344", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 114, \"c\": 9, \"d\": 6, \"e\": 344}", "seed": "9578537184078442132", "semantic_fingerprint": "sha256:2f86c2316a06978472cb72dc8a598bc860027404aa1e4eb098273e7bd5f37c5a", "generator_version": "3.0"}
{"id": "v3_val_00004023", "prompt": "Solve for x: 3x + 38 = 87", "solution_steps": ["Subtract 38 from both sides: 3x = 49", "Divide both sides by 3: x = 49/3"], "final_answer": "49/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x + 38 = 87", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 38, \"c\": 87}", "seed": "16618314536646131131", "semantic_fingerprint": "sha256:e2e7dc331c3bc2c5585bb0704e5fa3aa34adf0fe3b93504df89a0fdb7dc3d811", "generator_version": "3.0"}
{"id": "v3_val_00004024", "prompt": "Compute: 9 - (-410 + (-94) - 101) - (-287)", "solution_steps": ["Add: -410 + (-94) = -504", "Subtract: -504 - 101 = -605", "Subtract: 9 - (-605) = 614", "Subtract: 614 - (-287) = 901"], "final_answer": "901", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-410 + (-94) - 101) - (-287)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -410, \"c\": -94, \"d\": 101, \"e\": -287}", "seed": "541810435502022528", "semantic_fingerprint": "sha256:2f54d6bbb02020f83ec2e2903b34f350f9e565babe2b57ea0b8b4e8fe6716689", "generator_version": "3.0"}
{"id": "v3_val_00004025", "prompt": "Evaluate: (-4 - 8 * (-75)) * (-80)", "solution_steps": ["Multiply: 8 * (-75) = -600", "Subtract: -4 - (-600) = 596", "Multiply: 596 * (-80) = -47680"], "final_answer": "-47680", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - 8 * (-75)) * (-80)", "variable": null, "family": "expression_3op", "shape": "(* (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": -75, \"d\": -80}", "seed": "3831683440221862559", "semantic_fingerprint": "sha256:60a2212fb3c2738fa96685e39c2b64d0cddbdd080a067213e0b7983c37cf9aa0", "generator_version": "3.0"}
{"id": "v3_val_00004026", "prompt": "What is 0 / 873?", "solution_steps": ["Divide: 0 / 873 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 873", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 873}", "seed": "15462053937935394864", "semantic_fingerprint": "sha256:4f73639c4ab8bb2864bc9e188b2e64b71a343b0017eeb45fd7afc546d3d7f337", "generator_version": "3.0"}
{"id": "v3_val_00004027", "prompt": "Compute: (96 + 7 - (-35)) / (-596)", "solution_steps": ["Add: 96 + 7 = 103", "Subtract: 103 - (-35) = 138", "Divide: 138 / (-596) = -69/298"], "final_answer": "-69/298", "answer_type": "rational", "kind": "expression", "math_text": "(96 + 7 - (-35)) / (-596)", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 7, \"c\": -35, \"d\": -596}", "seed": "13763389332246891006", "semantic_fingerprint": "sha256:e3661096d53f931dc10e577935697e7683ac5c5f30ec8d67fd3d438dc6b1587e", "generator_version": "3.0"}
{"id": "v3_val_00004028", "prompt": "Solve for x: x + 41 = -5x + 722", "solution_steps": ["Add 5x to both sides: 6x + 41 = 722", "Subtract 41 from both sides: 6x = 681", "Divide both sides by 6: x = 227/2"], "final_answer": "227/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 41 = -5x + 722", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -5, \"c\": 722}", "seed": "13018396563439259578", "semantic_fingerprint": "sha256:aa2758a1fa66e45a645e294085ca173cb3cd7465de8cb094fe820211319331d5", "generator_version": "3.0"}
{"id": "v3_val_00004029", "prompt": "Find x: x - 49 = 9(x + 7)", "solution_steps": ["Expand: x - 49 = 9x + 63", "Subtract 9x from both sides: -8x - 49 = 63", "Add 49 to both sides: -8x = 112", "Divide both sides by -8: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 49 = 9(x + 7)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"d\": -49, \"x\": -14}", "seed": "5847583554559558385", "semantic_fingerprint": "sha256:ee5feadeff8af93f86f83ad2d6d837c84d59e963ace7b14506d70b1f1094c7d3", "generator_version": "3.0"}
{"id": "v3_val_00004030", "prompt": "Solve for x: -9(x - 2) + 40 = -6x - 215", "solution_steps": ["Expand: -9x + 18 + 40 = -6x - 215", "Combine constants: -9x + 58 = -6x - 215", "Add 6x to both sides: -3x + 58 = -215", "Subtract 58 from both sides: -3x = -273", "Divide both sides by -3: x = 91"], "final_answer": "91", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 2) + 40 = -6x - 215", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"c\": 40, \"d\": -6, \"e\": 215}", "seed": "12457308784523596451", "semantic_fingerprint": "sha256:660b486d4234bc0c0adbe2a47b0c15d316a2b80f93a7bc6101a96a1e53ddbe1d", "generator_version": "3.0"}
{"id": "v3_val_00004031", "prompt": "Solve for x: x + 66 = 8(x - 5) + 8", "solution_steps": ["Expand: x + 66 = 8x - 40 + 8", "Combine constants: x + 66 = 8x - 32", "Subtract 8x from both sides: -7x + 66 = -32", "Subtract 66 from both sides: -7x = -98", "Divide both sides by -7: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 66 = 8(x - 5) + 8", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 8, \"c\": 5, \"e\": 8, \"x\": 14}", "seed": "768406371115661931", "semantic_fingerprint": "sha256:ee61b017322d0e3a22f5edf6fe1a1cc1cadd2fc867790d4e181f2be62c9c639e", "generator_version": "3.0"}
{"id": "v3_val_00004032", "prompt": "Solve the equation -4x + 7 = 7(x + 1) for x.", "solution_steps": ["Expand: -4x + 7 = 7x + 7", "Subtract 7x from both sides: -11x + 7 = 7", "Subtract 7 from both sides: -11x = 0", "Divide both sides by -11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 7 = 7(x + 1)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 7, \"d\": 1}", "seed": "11287508347600829052", "semantic_fingerprint": "sha256:d8ab34433f51c4e015dd772bd777c991bdacb60087cca1010a7fbf737c8b6110", "generator_version": "3.0"}
{"id": "v3_val_00004033", "prompt": "Calculate: -88 - 460", "solution_steps": ["Subtract: -88 - 460 = -548"], "final_answer": "-548", "answer_type": "integer", "kind": "expression", "math_text": "-88 - 460", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 460}", "seed": "9695419624546773270", "semantic_fingerprint": "sha256:2ae4d6fae1bc0f5ab609b166a932332680071c8229769bf3ce5f5c008bc19e4c", "generator_version": "3.0"}
{"id": "v3_val_00004034", "prompt": "Solve for x: 6(x - 78) + 5 = x - 388", "solution_steps": ["Expand: 6x - 468 + 5 = x - 388", "Combine constants: 6x - 463 = x - 388", "Subtract x from both sides: 5x - 463 = -388", "Add 463 to both sides: 5x = 75", "Divide both sides by 5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 78) + 5 = x - 388", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 78, \"c\": 5, \"e\": -388, \"x\": 15}", "seed": "794178502001629187", "semantic_fingerprint": "sha256:50319234f97d9451224e057b038eabfcd48feb90d9bd8b656a110d0da4a70d45", "generator_version": "3.0"}
{"id": "v3_val_00004035", "prompt": "What is -3 - 10 * (-98) + (-42)?", "solution_steps": ["Multiply: 10 * (-98) = -980", "Subtract: -3 - (-980) = 977", "Add: 977 + (-42) = 935"], "final_answer": "935", "answer_type": "integer", "kind": "expression", "math_text": "-3 - 10 * (-98) + (-42)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 10, \"c\": -98, \"d\": -42}", "seed": "14718439713486238286", "semantic_fingerprint": "sha256:06a39014f8afbeb10a385fcea7939ef71bdbeaf5c4d353fd045bf3a69e0fbbf5", "generator_version": "3.0"}
{"id": "v3_val_00004036", "prompt": "What is 8 / (-719)?", "solution_steps": ["Divide: 8 / (-719) = -8/719"], "final_answer": "-8/719", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-719)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -719}", "seed": "16251029606404527403", "semantic_fingerprint": "sha256:b2a1fe90bc62843e3582f48a27e7ba035949fc172a40da09eb324de20bef1b71", "generator_version": "3.0"}
{"id": "v3_val_00004037", "prompt": "Find x: x - 160 = 9x", "solution_steps": ["Subtract 9x from both sides: -8x - 160 = 0", "Add 160 to 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": "2293619640293285065", "semantic_fingerprint": "sha256:610ae10ee8535890165445adaa82a0b32ee4903bbfdb9445a06416126fd9b691", "generator_version": "3.0"}
{"id": "v3_val_00004038", "prompt": "Find x: 8(x + 97) + 72 = 77", "solution_steps": ["Expand: 8x + 776 + 72 = 77", "Combine constants: 8x + 848 = 77", "Subtract 848 from both sides: 8x = -771", "Divide both sides by 8: x = -771/8"], "final_answer": "-771/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 97) + 72 = 77", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 97, \"c\": 72, \"d\": 77}", "seed": "17470197811493434430", "semantic_fingerprint": "sha256:51a77dc5a2cbecb120b87a1a8c493f410a8ed8c458a89bfee3321bfca0269c26", "generator_version": "3.0"}
{"id": "v3_val_00004039", "prompt": "Evaluate: (-688 - 6) * (-355)", "solution_steps": ["Subtract: -688 - 6 = -694", "Multiply: -694 * (-355) = 246370"], "final_answer": "246370", "answer_type": "integer", "kind": "expression", "math_text": "(-688 - 6) * (-355)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -688, \"b\": 6, \"c\": -355}", "seed": "6707529229391034414", "semantic_fingerprint": "sha256:0c71c59f464716f32565a3c3c71a3712085bbd5a8de373bccfeab2129985c629", "generator_version": "3.0"}
{"id": "v3_val_00004040", "prompt": "Solve the equation 7x = 11(x - 69) for x.", "solution_steps": ["Expand: 7x = 11x - 759", "Subtract 11x from both sides: -4x = -759", "Divide both sides by -4: x = 759/4"], "final_answer": "759/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = 11(x - 69)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 11, \"c\": 69}", "seed": "14390631906422518442", "semantic_fingerprint": "sha256:bd4186d3a8324e99980e31da2af12405313a3f4c8f58e9f060db835cb1e23bdf", "generator_version": "3.0"}
{"id": "v3_val_00004041", "prompt": "Evaluate: (84 + (1 + 42 * 7)) / 98", "solution_steps": ["Multiply: 42 * 7 = 294", "Add: 1 + 294 = 295", "Add: 84 + 295 = 379", "Divide: 379 / 98 = 379/98"], "final_answer": "379/98", "answer_type": "rational", "kind": "expression", "math_text": "(84 + (1 + 42 * 7)) / 98", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 1, \"c\": 42, \"d\": 7, \"e\": 98}", "seed": "14105536986335942086", "semantic_fingerprint": "sha256:e00f7ac6d1c8ca1f0aece9e6ce4e664cf2111a54008111b1e312017a3875a529", "generator_version": "3.0"}
{"id": "v3_val_00004042", "prompt": "Evaluate: -58 + (4 - (-32))", "solution_steps": ["Subtract: 4 - (-32) = 36", "Add: -58 + 36 = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "-58 + (4 - (-32))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 4, \"c\": -32}", "seed": "9843944593236412096", "semantic_fingerprint": "sha256:3a7fe5aa91b9a632b498a86e3961ea5ed2d5228d27a58ae182980fb41f346cec", "generator_version": "3.0"}
{"id": "v3_val_00004043", "prompt": "Evaluate: -883 * (-440) + (-241)", "solution_steps": ["Multiply: -883 * (-440) = 388520", "Add: 388520 + (-241) = 388279"], "final_answer": "388279", "answer_type": "integer", "kind": "expression", "math_text": "-883 * (-440) + (-241)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -883, \"b\": -440, \"c\": -241}", "seed": "6560823035870896503", "semantic_fingerprint": "sha256:f0e267f378474357230d4aa7aab01bfb5b9ee576fb053820bfbc16a00ebd40a8", "generator_version": "3.0"}
{"id": "v3_val_00004044", "prompt": "Evaluate: -331 * (0 / 3)", "solution_steps": ["Divide: 0 / 3 = 0", "Multiply: -331 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-331 * (0 / 3)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -331, \"b\": 0, \"c\": 3}", "seed": "12424832384437000582", "semantic_fingerprint": "sha256:7442f6b48461a86f52d0549589fde3a1255d1fa1634c74df91d44e96ea86a37c", "generator_version": "3.0"}
{"id": "v3_val_00004045", "prompt": "Calculate: (1 / 4 + (-85)) / 876", "solution_steps": ["Divide: 1 / 4 = 1/4", "Add: 1/4 + (-85) = -339/4", "Divide: (-339/4) / 876 = -113/1168"], "final_answer": "-113/1168", "answer_type": "rational", "kind": "expression", "math_text": "(1 / 4 + (-85)) / 876", "variable": null, "family": "expression_3op", "shape": "(/ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 4, \"c\": -85, \"d\": 876}", "seed": "16798614533067787954", "semantic_fingerprint": "sha256:c217aab303f3eddb380f53f53fd7a03e1445e130d0db6928b4effdc9d6b71a9d", "generator_version": "3.0"}
{"id": "v3_val_00004046", "prompt": "Find x: 4(x + 16) - 52 = 5(x - 9)", "solution_steps": ["Expand: 4x + 64 - 52 = 5(x - 9)", "Expand: 4x + 64 - 52 = 5x - 45", "Combine constants: 4x + 12 = 5x - 45", "Subtract 5x from both sides: -x + 12 = -45", "Subtract 12 from both sides: -x = -57", "Divide both sides by -1: x = 57"], "final_answer": "57", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 16) - 52 = 5(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\": 16, \"c\": 52, \"d\": 5, \"e\": 9}", "seed": "15529942362023769160", "semantic_fingerprint": "sha256:3f8c4dca403087f82e67d6d57e09be5242c8a7762fd0c576c01ee6c16acda40b", "generator_version": "3.0"}
{"id": "v3_val_00004047", "prompt": "Compute: 477 * ((-6 - 544) / 67)", "solution_steps": ["Subtract: -6 - 544 = -550", "Divide: -550 / 67 = -550/67", "Multiply: 477 * (-550/67) = -262350/67"], "final_answer": "-262350/67", "answer_type": "rational", "kind": "expression", "math_text": "477 * ((-6 - 544) / 67)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 477, \"b\": -6, \"c\": 544, \"d\": 67}", "seed": "15682033581285697569", "semantic_fingerprint": "sha256:716c458a0819147e506d74dd1e2b537689f93d6f498e53274bccb25a243ee701", "generator_version": "3.0"}
{"id": "v3_val_00004048", "prompt": "What value of x satisfies 5x = 2(x + 33)?", "solution_steps": ["Expand: 5x = 2x + 66", "Subtract 2x from both sides: 3x = 66", "Divide both sides by 3: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 2(x + 33)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 33}", "seed": "9762452511502753660", "semantic_fingerprint": "sha256:a512e36bcf9afcee509caa9693f4521a6512baac34aa5ff1ccbceafc03d5dd16", "generator_version": "3.0"}
{"id": "v3_val_00004049", "prompt": "Solve the equation -9(x - 38) = -2x + 216 for x.", "solution_steps": ["Expand: -9x + 342 = -2x + 216", "Add 2x to both sides: -7x + 342 = 216", "Subtract 342 from both sides: -7x = -126", "Divide both sides by -7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 38) = -2x + 216", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 38, \"c\": -2, \"e\": 216, \"x\": 18}", "seed": "577568380600720264", "semantic_fingerprint": "sha256:ea511522b215b6a6034b78829232242a06274ed1ea8dc6dfc2efcbbc816f234a", "generator_version": "3.0"}
{"id": "v3_val_00004050", "prompt": "Find x: 4(x + 77) = 6(x + 92)", "solution_steps": ["Expand: 4x + 308 = 6(x + 92)", "Expand: 4x + 308 = 6x + 552", "Subtract 6x from both sides: -2x + 308 = 552", "Subtract 308 from both sides: -2x = 244", "Divide both sides by -2: x = -122"], "final_answer": "-122", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 77) = 6(x + 92)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 77, \"c\": 6, \"d\": 92}", "seed": "11633816522996952682", "semantic_fingerprint": "sha256:471d2663962f4745d1ae5e11f768626a7779797e06c98ec656a25dee10c681d5", "generator_version": "3.0"}
{"id": "v3_val_00004051", "prompt": "What is 541 + (-5)?", "solution_steps": ["Add: 541 + (-5) = 536"], "final_answer": "536", "answer_type": "integer", "kind": "expression", "math_text": "541 + (-5)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 541, \"b\": -5}", "seed": "10598777887498768146", "semantic_fingerprint": "sha256:3524f34bd58e8d9abcfc34d4c16794728f55538b19dda48611de1c88c596cad8", "generator_version": "3.0"}
{"id": "v3_val_00004052", "prompt": "Calculate: 719 - (-99 - (-12))", "solution_steps": ["Subtract: -99 - (-12) = -87", "Subtract: 719 - (-87) = 806"], "final_answer": "806", "answer_type": "integer", "kind": "expression", "math_text": "719 - (-99 - (-12))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 719, \"b\": -99, \"c\": -12}", "seed": "6545829947714544575", "semantic_fingerprint": "sha256:9f7692ee89d22534715cfa2cdf0c28db9da2c149ce333188408fc51163825002", "generator_version": "3.0"}
{"id": "v3_val_00004053", "prompt": "What is 390 * ((-590 + 970) * 3)?", "solution_steps": ["Add: -590 + 970 = 380", "Multiply: 380 * 3 = 1140", "Multiply: 390 * 1140 = 444600"], "final_answer": "444600", "answer_type": "integer", "kind": "expression", "math_text": "390 * ((-590 + 970) * 3)", "variable": null, "family": "expression_3op", "shape": "(* n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 390, \"b\": -590, \"c\": 970, \"d\": 3}", "seed": "9863211606340082893", "semantic_fingerprint": "sha256:c203960d2d658aa38ec91758afcad1d9b5fb71bbaf4e24b07e92de3556afad0e", "generator_version": "3.0"}
{"id": "v3_val_00004054", "prompt": "Compute: -26 - (-73 + (-98) * 837) / (-313 * 5)", "solution_steps": ["Multiply: -98 * 837 = -82026", "Add: -73 + (-82026) = -82099", "Multiply: -313 * 5 = -1565", "Divide: -82099 / (-1565) = 82099/1565", "Subtract: -26 - 82099/1565 = -122789/1565"], "final_answer": "-122789/1565", "answer_type": "rational", "kind": "expression", "math_text": "-26 - (-73 + (-98) * 837) / (-313 * 5)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ n (* n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -73, \"c\": -98, \"d\": 837, \"e\": -313, \"f\": 5}", "seed": "9809427439959840217", "semantic_fingerprint": "sha256:99d67912c6199e79386c61d5cd03aefcdc7e16b6b9953b7004fe056bde4824c3", "generator_version": "3.0"}
{"id": "v3_val_00004055", "prompt": "Compute: (-61 + 50) / ((4 - 284) * 6)", "solution_steps": ["Add: -61 + 50 = -11", "Subtract: 4 - 284 = -280", "Multiply: -280 * 6 = -1680", "Divide: -11 / (-1680) = 11/1680"], "final_answer": "11/1680", "answer_type": "rational", "kind": "expression", "math_text": "(-61 + 50) / ((4 - 284) * 6)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 50, \"c\": 4, \"d\": 284, \"e\": 6}", "seed": "1154191060883753123", "semantic_fingerprint": "sha256:d696de0e7518afc0765dafa8101b6d165408e329e91cb91509a6045e8deddd4d", "generator_version": "3.0"}
{"id": "v3_val_00004056", "prompt": "Evaluate: 8 - (-761)", "solution_steps": ["Subtract: 8 - (-761) = 769"], "final_answer": "769", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-761)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -761}", "seed": "16338045938220025740", "semantic_fingerprint": "sha256:d8d62530df9adefcd5c8c292d7ce79cc499db7411d8f559434fa3380a1be1993", "generator_version": "3.0"}
{"id": "v3_val_00004057", "prompt": "What value of x satisfies x = 9(x + 17) + 92?", "solution_steps": ["Expand: x = 9x + 153 + 92", "Combine constants: x = 9x + 245", "Subtract 9x from both sides: -8x = 245", "Divide both sides by -8: x = -245/8"], "final_answer": "-245/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 9(x + 17) + 92", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 17, \"c\": 92}", "seed": "2456747859021932821", "semantic_fingerprint": "sha256:8686308f5354d76c7c43fcb6eb2bbf3dece27a545f4a703f7f51e195d53f3eb5", "generator_version": "3.0"}
{"id": "v3_val_00004058", "prompt": "Compute: 73 * 298 * (-9 - (-8))", "solution_steps": ["Multiply: 73 * 298 = 21754", "Subtract: -9 - (-8) = -1", "Multiply: 21754 * (-1) = -21754"], "final_answer": "-21754", "answer_type": "integer", "kind": "expression", "math_text": "73 * 298 * (-9 - (-8))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 298, \"c\": -9, \"d\": -8}", "seed": "2576815954641328450", "semantic_fingerprint": "sha256:8057a3a7de188ad1da75da6edc9f5b5953273fb1792942b9c952a56abf07d69c", "generator_version": "3.0"}
{"id": "v3_val_00004059", "prompt": "Evaluate: -108 / (-35) / (-21) - (-8) - 66", "solution_steps": ["Divide: -108 / (-35) = 108/35", "Divide: (108/35) / (-21) = -36/245", "Subtract: -36/245 - (-8) = 1924/245", "Subtract: 1924/245 - 66 = -14246/245"], "final_answer": "-14246/245", "answer_type": "rational", "kind": "expression", "math_text": "-108 / (-35) / (-21) - (-8) - 66", "variable": null, "family": "expression_4op", "shape": "(- (- (/ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -108, \"b\": -35, \"c\": -21, \"d\": -8, \"e\": 66}", "seed": "14737445785362935701", "semantic_fingerprint": "sha256:9bf4f799d82a511525fa6c2dc47c83fe8a24030580eda0067dfa8c1dc88b61f7", "generator_version": "3.0"}
{"id": "v3_val_00004060", "prompt": "Evaluate: 24 / (-7 / (-6))", "solution_steps": ["Divide: -7 / (-6) = 7/6", "Divide: 24 / (7/6) = 144/7"], "final_answer": "144/7", "answer_type": "rational", "kind": "expression", "math_text": "24 / (-7 / (-6))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -7, \"c\": -6}", "seed": "2840237623538666956", "semantic_fingerprint": "sha256:ede35cd08ec33dc34a33b2b5c69e0a528d20027190983da0e024bc7e0819729d", "generator_version": "3.0"}
{"id": "v3_val_00004061", "prompt": "Solve for x: 6(x - 52) = -12(x + 9)", "solution_steps": ["Expand: 6x - 312 = -12(x + 9)", "Expand: 6x - 312 = -12x - 108", "Add 12x to both sides: 18x - 312 = -108", "Add 312 to both sides: 18x = 204", "Divide both sides by 18: x = 34/3"], "final_answer": "34/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 52) = -12(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 52, \"c\": -12, \"d\": 9}", "seed": "2785488114526869245", "semantic_fingerprint": "sha256:b88b423d53e337646b24b34ea7ad5391b4c28cb9abd06f4abf73228e1834036a", "generator_version": "3.0"}
{"id": "v3_val_00004062", "prompt": "Compute: 548 / (-290 / (-87)) * (51 / (-361 - (-5)))", "solution_steps": ["Divide: -290 / (-87) = 10/3", "Divide: 548 / (10/3) = 822/5", "Subtract: -361 - (-5) = -356", "Divide: 51 / (-356) = -51/356", "Multiply: (822/5) * (-51/356) = -20961/890"], "final_answer": "-20961/890", "answer_type": "rational", "kind": "expression", "math_text": "548 / (-290 / (-87)) * (51 / (-361 - (-5)))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (/ n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 548, \"b\": -290, \"c\": -87, \"d\": 51, \"e\": -361, \"f\": -5}", "seed": "15143536177838153918", "semantic_fingerprint": "sha256:c4ed58058ef569e92b20dea858b4ec80387f6bf595db1145a35573a98984270c", "generator_version": "3.0"}
{"id": "v3_val_00004063", "prompt": "Compute: (-7 + (-44 - 90 / 7)) / 49", "solution_steps": ["Divide: 90 / 7 = 90/7", "Subtract: -44 - 90/7 = -398/7", "Add: -7 + (-398/7) = -447/7", "Divide: (-447/7) / 49 = -447/343"], "final_answer": "-447/343", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + (-44 - 90 / 7)) / 49", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -44, \"c\": 90, \"d\": 7, \"e\": 49}", "seed": "15594746470444445161", "semantic_fingerprint": "sha256:44ef49ad0dc87dabc8e7a5e41aa034dd73b8cecc239419b4853df7494782e609", "generator_version": "3.0"}
{"id": "v3_val_00004064", "prompt": "Calculate: 14 - (7 * (-579) - 7 * 51)", "solution_steps": ["Multiply: 7 * (-579) = -4053", "Multiply: 7 * 51 = 357", "Subtract: -4053 - 357 = -4410", "Subtract: 14 - (-4410) = 4424"], "final_answer": "4424", "answer_type": "integer", "kind": "expression", "math_text": "14 - (7 * (-579) - 7 * 51)", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 7, \"c\": -579, \"d\": 7, \"e\": 51}", "seed": "6539829360260954121", "semantic_fingerprint": "sha256:38a3c059bdeabeaef30023fa3e4ec23af14abf650eba393749b4deee7f905ec5", "generator_version": "3.0"}
{"id": "v3_val_00004065", "prompt": "Compute: 2 / (-1) + (-917 - 63)", "solution_steps": ["Divide: 2 / (-1) = -2", "Subtract: -917 - 63 = -980", "Add: -2 + (-980) = -982"], "final_answer": "-982", "answer_type": "integer", "kind": "expression", "math_text": "2 / (-1) + (-917 - 63)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -1, \"c\": -917, \"d\": 63}", "seed": "14104873513109244117", "semantic_fingerprint": "sha256:276e297032b6149ced2ddef5b48e176043df780dc82edc0b536a05a4047a2c10", "generator_version": "3.0"}
{"id": "v3_val_00004066", "prompt": "Compute: 9 - (-30) - 8", "solution_steps": ["Subtract: 9 - (-30) = 39", "Subtract: 39 - 8 = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-30) - 8", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -30, \"c\": 8}", "seed": "5426121186869325720", "semantic_fingerprint": "sha256:421122c88794d363a798e757f8438a595357617afa8dd217bb6ecfbec82efc46", "generator_version": "3.0"}
{"id": "v3_val_00004067", "prompt": "Calculate: (9 + (-5)) * 3 * (-2 - (-23))", "solution_steps": ["Add: 9 + (-5) = 4", "Multiply: 4 * 3 = 12", "Subtract: -2 - (-23) = 21", "Multiply: 12 * 21 = 252"], "final_answer": "252", "answer_type": "integer", "kind": "expression", "math_text": "(9 + (-5)) * 3 * (-2 - (-23))", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -5, \"c\": 3, \"d\": -2, \"e\": -23}", "seed": "14654892241204833793", "semantic_fingerprint": "sha256:1f38d7dbbd037ec7f8a65416d6a5ab01823a6a41a099b1ebdeb15061b557c5e2", "generator_version": "3.0"}
{"id": "v3_val_00004068", "prompt": "Evaluate: 39 - (-7) * 42", "solution_steps": ["Multiply: -7 * 42 = -294", "Subtract: 39 - (-294) = 333"], "final_answer": "333", "answer_type": "integer", "kind": "expression", "math_text": "39 - (-7) * 42", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -7, \"c\": 42}", "seed": "8543846383744489609", "semantic_fingerprint": "sha256:dd87cf24eb763002cbfc9f798fd2c0112b13ee5fbb4694a5bb0095f037a033ec", "generator_version": "3.0"}
{"id": "v3_val_00004069", "prompt": "Calculate: (8 + 6) * (-430) + (-27 + 528 - 567)", "solution_steps": ["Add: 8 + 6 = 14", "Multiply: 14 * (-430) = -6020", "Add: -27 + 528 = 501", "Subtract: 501 - 567 = -66", "Add: -6020 + (-66) = -6086"], "final_answer": "-6086", "answer_type": "integer", "kind": "expression", "math_text": "(8 + 6) * (-430) + (-27 + 528 - 567)", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": -430, \"d\": -27, \"e\": 528, \"f\": 567}", "seed": "5582387566068002670", "semantic_fingerprint": "sha256:7ca321c411c19d20dd766803b8d63659e732d758bf7e39a3a02e59ba9c3a472c", "generator_version": "3.0"}
{"id": "v3_val_00004070", "prompt": "What value of x satisfies 5x = -3x - 128?", "solution_steps": ["Add 3x to both sides: 8x = -128", "Divide both sides by 8: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = -3x - 128", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -3, \"d\": -128, \"x\": -16}", "seed": "7343446741982365499", "semantic_fingerprint": "sha256:2aae6fe51385ca74c127447ab06615dd9188bc9c3904f8f0f304eafb9edcf90e", "generator_version": "3.0"}
{"id": "v3_val_00004071", "prompt": "Solve for x: -5x + 3 = -8x + 4", "solution_steps": ["Add 8x to both sides: 3x + 3 = 4", "Subtract 3 from both sides: 3x = 1", "Divide both sides by 3: x = 1/3"], "final_answer": "1/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x + 3 = -8x + 4", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": -8, \"d\": 4}", "seed": "20465261117732659", "semantic_fingerprint": "sha256:9e92d620b432d768dbd4466b5d51f5d6978842b353c4fe2f5547ae2981b4e26a", "generator_version": "3.0"}
{"id": "v3_val_00004072", "prompt": "Evaluate: (1 - (-5)) / (-2 + 255 + 296)", "solution_steps": ["Subtract: 1 - (-5) = 6", "Add: -2 + 255 = 253", "Add: 253 + 296 = 549", "Divide: 6 / 549 = 2/183"], "final_answer": "2/183", "answer_type": "rational", "kind": "expression", "math_text": "(1 - (-5)) / (-2 + 255 + 296)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -5, \"c\": -2, \"d\": 255, \"e\": 296}", "seed": "5604932039024468013", "semantic_fingerprint": "sha256:fe1da392f3ed0acb193b686470d53b4748a431f77460ca96d6cbbfba0ec0c10c", "generator_version": "3.0"}
{"id": "v3_val_00004073", "prompt": "Evaluate: -25 * (-15 + 2)", "solution_steps": ["Add: -15 + 2 = -13", "Multiply: -25 * (-13) = 325"], "final_answer": "325", "answer_type": "integer", "kind": "expression", "math_text": "-25 * (-15 + 2)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -15, \"c\": 2}", "seed": "10491873530225640016", "semantic_fingerprint": "sha256:298a6fd1ac6e7affd4ed716ee0f941d7ce75c7b33f77472004e1d88e329202ce", "generator_version": "3.0"}
{"id": "v3_val_00004074", "prompt": "Solve for x: 3(x + 34) - 6 = 120", "solution_steps": ["Expand: 3x + 102 - 6 = 120", "Combine constants: 3x + 96 = 120", "Subtract 96 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 + 34) - 6 = 120", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 34, \"c\": 6, \"e\": 120, \"x\": 8}", "seed": "7319077712146227192", "semantic_fingerprint": "sha256:c9bce1f648dae754e2ef189447d80cd2be526e594d87202e828dec2391c83862", "generator_version": "3.0"}
{"id": "v3_val_00004075", "prompt": "Solve the equation 5(x + 3) + 27 = -2x + 42 for x.", "solution_steps": ["Expand: 5x + 15 + 27 = -2x + 42", "Combine constants: 5x + 42 = -2x + 42", "Add 2x to both sides: 7x + 42 = 42", "Subtract 42 from both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 3) + 27 = -2x + 42", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 27, \"d\": -2, \"f\": 42, \"x\": 0}", "seed": "1222847792468202297", "semantic_fingerprint": "sha256:bc897b4ac83b0b999f522e76e63760827443c2778e0e4d6380fcf6bea8df8e68", "generator_version": "3.0"}
{"id": "v3_val_00004076", "prompt": "Calculate: -34 * (28 * (-285))", "solution_steps": ["Multiply: 28 * (-285) = -7980", "Multiply: -34 * (-7980) = 271320"], "final_answer": "271320", "answer_type": "integer", "kind": "expression", "math_text": "-34 * (28 * (-285))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 28, \"c\": -285}", "seed": "9948159917248988990", "semantic_fingerprint": "sha256:c682f3a9e445a66644bf74ad6f92e9bd7a099b68ae22e492146a46f74d8c2c56", "generator_version": "3.0"}
{"id": "v3_val_00004077", "prompt": "What value of x satisfies 6x + 70 = x?", "solution_steps": ["Subtract x from both sides: 5x + 70 = 0", "Subtract 70 from both sides: 5x = -70", "Divide both sides by 5: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 70 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": 70, \"x\": -14}", "seed": "8129000438688523598", "semantic_fingerprint": "sha256:0d7d13092e1cf7da713e9d4dc20c2617b64b5340ad9a8fd91af63ebb2e067363", "generator_version": "3.0"}
{"id": "v3_val_00004078", "prompt": "Solve for x: x + 267 = 11(x + 7)", "solution_steps": ["Expand: x + 267 = 11x + 77", "Subtract 11x from both sides: -10x + 267 = 77", "Subtract 267 from both sides: -10x = -190", "Divide both sides by -10: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 267 = 11(x + 7)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"d\": 267, \"x\": 19}", "seed": "6039613628021497316", "semantic_fingerprint": "sha256:5fd68047705fed3fe7e5146668d9e0c3c9ebb04136f99d9cc6419eefbb21b4fa", "generator_version": "3.0"}
{"id": "v3_val_00004079", "prompt": "Calculate: -5 / (-963) + 1", "solution_steps": ["Divide: -5 / (-963) = 5/963", "Add: 5/963 + 1 = 968/963"], "final_answer": "968/963", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-963) + 1", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -963, \"c\": 1}", "seed": "4100115249748101103", "semantic_fingerprint": "sha256:cf027f60e651a215cd17c8fc2c8822b750b92629a37bf09148758e3ff450f944", "generator_version": "3.0"}
{"id": "v3_val_00004080", "prompt": "Compute: 50 / (9 + (69 / 94 + 0))", "solution_steps": ["Divide: 69 / 94 = 69/94", "Add: 69/94 + 0 = 69/94", "Add: 9 + 69/94 = 915/94", "Divide: 50 / (915/94) = 940/183"], "final_answer": "940/183", "answer_type": "rational", "kind": "expression", "math_text": "50 / (9 + (69 / 94 + 0))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (+ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 9, \"c\": 69, \"d\": 94, \"e\": 0}", "seed": "9200285851156813721", "semantic_fingerprint": "sha256:d620082a86c7f0b5e7ac974af5b905bf5938b83aa6bd7f77158c0a4d252ecb1f", "generator_version": "3.0"}
{"id": "v3_val_00004081", "prompt": "Compute: 31 + 2", "solution_steps": ["Add: 31 + 2 = 33"], "final_answer": "33", "answer_type": "integer", "kind": "expression", "math_text": "31 + 2", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 2}", "seed": "16251960589535809658", "semantic_fingerprint": "sha256:230828222a75b09f3dd3df477a40bd7180d50da688574f5b2fd83a661b95d7bc", "generator_version": "3.0"}
{"id": "v3_val_00004082", "prompt": "What is 542 * 91 / (8 - 9)?", "solution_steps": ["Multiply: 542 * 91 = 49322", "Subtract: 8 - 9 = -1", "Divide: 49322 / (-1) = -49322"], "final_answer": "-49322", "answer_type": "integer", "kind": "expression", "math_text": "542 * 91 / (8 - 9)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 542, \"b\": 91, \"c\": 8, \"d\": 9}", "seed": "2169650562189789319", "semantic_fingerprint": "sha256:499326183a430b805c039c0ec2b98b886b992b74e32389b8c9ad4596bba33e56", "generator_version": "3.0"}
{"id": "v3_val_00004083", "prompt": "Calculate: 2 - (-71) + (-45 + 340)", "solution_steps": ["Subtract: 2 - (-71) = 73", "Add: -45 + 340 = 295", "Add: 73 + 295 = 368"], "final_answer": "368", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-71) + (-45 + 340)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -71, \"c\": -45, \"d\": 340}", "seed": "15026745575013722099", "semantic_fingerprint": "sha256:0765812b604f19ecfa3d2fabee272eb619611378f2c7c2e429e6c726b95a187e", "generator_version": "3.0"}
{"id": "v3_val_00004084", "prompt": "Calculate: -430 * 20", "solution_steps": ["Multiply: -430 * 20 = -8600"], "final_answer": "-8600", "answer_type": "integer", "kind": "expression", "math_text": "-430 * 20", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -430, \"b\": 20}", "seed": "11244611989093401255", "semantic_fingerprint": "sha256:67923debfaee1b3dcb6a213fd9eeafce63af2a59edf65c967451c4b76ec442de", "generator_version": "3.0"}
{"id": "v3_val_00004085", "prompt": "What is -489 * (-300 + 38)?", "solution_steps": ["Add: -300 + 38 = -262", "Multiply: -489 * (-262) = 128118"], "final_answer": "128118", "answer_type": "integer", "kind": "expression", "math_text": "-489 * (-300 + 38)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -489, \"b\": -300, \"c\": 38}", "seed": "1093837491884208606", "semantic_fingerprint": "sha256:288e71465ebc9511c2b9eabde569a47a85e108d11c781f9326f5981cf93ebac3", "generator_version": "3.0"}
{"id": "v3_val_00004086", "prompt": "What value of x satisfies -8x = 9x - 17?", "solution_steps": ["Subtract 9x from both sides: -17x = -17", "Divide both sides by -17: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x = 9x - 17", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"d\": -17, \"x\": 1}", "seed": "6610802958324969368", "semantic_fingerprint": "sha256:a12c5d6e4cbf859b039da2740bf66c67bf278b16e5654229e16751071ffe55a9", "generator_version": "3.0"}
{"id": "v3_val_00004087", "prompt": "What value of x satisfies 7x - 289 = -6(x - 8) - 298?", "solution_steps": ["Expand: 7x - 289 = -6x + 48 - 298", "Combine constants: 7x - 289 = -6x - 250", "Add 6x to both sides: 13x - 289 = -250", "Add 289 to both sides: 13x = 39", "Divide both sides by 13: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 289 = -6(x - 8) - 298", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 289, \"c\": -6, \"d\": 8, \"f\": -298, \"x\": 3}", "seed": "18159241589114663319", "semantic_fingerprint": "sha256:ca4d6d5cb02e84ad3c91dda6669fbc49b64af46d2fa46a66e5bb04043f98114c", "generator_version": "3.0"}
{"id": "v3_val_00004088", "prompt": "Evaluate: 5 / (-7) * (-5) - 96 + 130", "solution_steps": ["Divide: 5 / (-7) = -5/7", "Multiply: (-5/7) * (-5) = 25/7", "Subtract: 25/7 - 96 = -647/7", "Add: -647/7 + 130 = 263/7"], "final_answer": "263/7", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-7) * (-5) - 96 + 130", "variable": null, "family": "expression_4op", "shape": "(+ (- (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -7, \"c\": -5, \"d\": 96, \"e\": 130}", "seed": "18013013207257040039", "semantic_fingerprint": "sha256:22a10b4d598fee981859e0dde90786880c460cf491f40f6f1de8a2882c8e9fd1", "generator_version": "3.0"}
{"id": "v3_val_00004089", "prompt": "What is (-7 - (-707)) * 487 / (-757 + (-2) + (-93))?", "solution_steps": ["Subtract: -7 - (-707) = 700", "Multiply: 700 * 487 = 340900", "Add: -757 + (-2) = -759", "Add: -759 + (-93) = -852", "Divide: 340900 / (-852) = -85225/213"], "final_answer": "-85225/213", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - (-707)) * 487 / (-757 + (-2) + (-93))", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) n) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -707, \"c\": 487, \"d\": -757, \"e\": -2, \"f\": -93}", "seed": "15481477280752614792", "semantic_fingerprint": "sha256:bc636343b9b179bd12772dd069a0474aeea371333d2ffdbee6293d054a431685", "generator_version": "3.0"}
{"id": "v3_val_00004090", "prompt": "Compute: -8 * 58", "solution_steps": ["Multiply: -8 * 58 = -464"], "final_answer": "-464", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 58", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 58}", "seed": "10198936160680090888", "semantic_fingerprint": "sha256:5fb1d313b47cc3ab99d60c7ec8a0f03416910bebbe9531e3a9d818ee8909b24f", "generator_version": "3.0"}
{"id": "v3_val_00004091", "prompt": "Compute: (-667 - (-974)) * 384", "solution_steps": ["Subtract: -667 - (-974) = 307", "Multiply: 307 * 384 = 117888"], "final_answer": "117888", "answer_type": "integer", "kind": "expression", "math_text": "(-667 - (-974)) * 384", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -667, \"b\": -974, \"c\": 384}", "seed": "7862274497881632618", "semantic_fingerprint": "sha256:4df0c25548c5222709100f7336371ca6724e91ea32792cbe33e7bbb73031ac81", "generator_version": "3.0"}
{"id": "v3_val_00004092", "prompt": "What is -409 - 34 - (-41)?", "solution_steps": ["Subtract: -409 - 34 = -443", "Subtract: -443 - (-41) = -402"], "final_answer": "-402", "answer_type": "integer", "kind": "expression", "math_text": "-409 - 34 - (-41)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -409, \"b\": 34, \"c\": -41}", "seed": "16908670209046436556", "semantic_fingerprint": "sha256:615ddf6b0592e8ac68265e5ae3a54ea74c7238f197394ccda7ac011162c9c70a", "generator_version": "3.0"}
{"id": "v3_val_00004093", "prompt": "Find x: 4(x + 3) = 8(x + 52) - 424", "solution_steps": ["Expand: 4x + 12 = 8(x + 52) - 424", "Expand: 4x + 12 = 8x + 416 - 424", "Combine constants: 4x + 12 = 8x - 8", "Subtract 8x from both sides: -4x + 12 = -8", "Subtract 12 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 + 3) = 8(x + 52) - 424", "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\": 8, \"d\": 52, \"f\": -424, \"x\": 5}", "seed": "3337031557272649118", "semantic_fingerprint": "sha256:75abba8e67921faf4debe51cdf063be0bb4c23154053f9a230e633119745717a", "generator_version": "3.0"}
{"id": "v3_val_00004094", "prompt": "Calculate: (-1 + (-7)) / (84 + (-39) - (2 + 2))", "solution_steps": ["Add: -1 + (-7) = -8", "Add: 84 + (-39) = 45", "Add: 2 + 2 = 4", "Subtract: 45 - 4 = 41", "Divide: -8 / 41 = -8/41"], "final_answer": "-8/41", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + (-7)) / (84 + (-39) - (2 + 2))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -7, \"c\": 84, \"d\": -39, \"e\": 2, \"f\": 2}", "seed": "17605446164004186370", "semantic_fingerprint": "sha256:b620f6024a4a728e7be95c42ba390601d1adc42417216c643978db48368e9106", "generator_version": "3.0"}
{"id": "v3_val_00004095", "prompt": "Find x: x - 819 = -11(x + 81)", "solution_steps": ["Expand: x - 819 = -11x - 891", "Add 11x to both sides: 12x - 819 = -891", "Add 819 to both sides: 12x = -72", "Divide both sides by 12: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 819 = -11(x + 81)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 81, \"d\": -819, \"x\": -6}", "seed": "13079713019517329367", "semantic_fingerprint": "sha256:3214003730d839ac6f25525decbcf2d6176515ef93a44323af1c670ec0b82c45", "generator_version": "3.0"}
{"id": "v3_val_00004096", "prompt": "Calculate: -7 / 42 + 7 * 67 / (-7)", "solution_steps": ["Divide: -7 / 42 = -1/6", "Multiply: 7 * 67 = 469", "Divide: 469 / (-7) = -67", "Add: -1/6 + (-67) = -403/6"], "final_answer": "-403/6", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 42 + 7 * 67 / (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 42, \"c\": 7, \"d\": 67, \"e\": -7}", "seed": "6720849162937302329", "semantic_fingerprint": "sha256:0cad15fc68f44655314ec76493d749215a2f41af0fa6dd2fea05e80709a438c5", "generator_version": "3.0"}
{"id": "v3_val_00004097", "prompt": "Calculate: (-237 - (-90 - 8) - 855) / (-9)", "solution_steps": ["Subtract: -90 - 8 = -98", "Subtract: -237 - (-98) = -139", "Subtract: -139 - 855 = -994", "Divide: -994 / (-9) = 994/9"], "final_answer": "994/9", "answer_type": "rational", "kind": "expression", "math_text": "(-237 - (-90 - 8) - 855) / (-9)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -237, \"b\": -90, \"c\": 8, \"d\": 855, \"e\": -9}", "seed": "17599666013590624524", "semantic_fingerprint": "sha256:9694d6b0d2f5498a3e8910dce58709713eed7974c7bdb44aade63de28f992e77", "generator_version": "3.0"}
{"id": "v3_val_00004098", "prompt": "What is 13 * (19 - 36)?", "solution_steps": ["Subtract: 19 - 36 = -17", "Multiply: 13 * (-17) = -221"], "final_answer": "-221", "answer_type": "integer", "kind": "expression", "math_text": "13 * (19 - 36)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 19, \"c\": 36}", "seed": "2271703047072328681", "semantic_fingerprint": "sha256:5d6f65767119e891cf96c5c38ae17dda9b24a3e970ae1d6059187487a35b6690", "generator_version": "3.0"}
{"id": "v3_val_00004099", "prompt": "Find x: 6(x + 49) = x", "solution_steps": ["Expand: 6x + 294 = x", "Subtract x from both sides: 5x + 294 = 0", "Subtract 294 from both sides: 5x = -294", "Divide both sides by 5: x = -294/5"], "final_answer": "-294/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 49) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 49}", "seed": "1351510800633644242", "semantic_fingerprint": "sha256:ae1ad338d21cc7ee3f6e9f1cdad01ed3bea9b8104b71baee8e4173e691bc2e47", "generator_version": "3.0"}
{"id": "v3_val_00004100", "prompt": "Calculate: 7 - 279", "solution_steps": ["Subtract: 7 - 279 = -272"], "final_answer": "-272", "answer_type": "integer", "kind": "expression", "math_text": "7 - 279", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 279}", "seed": "10971311872161061914", "semantic_fingerprint": "sha256:29f0d6abfc38dceffa9da9cd9033392e123c618c3c6303ae2ea0feddd8d41e2d", "generator_version": "3.0"}
{"id": "v3_val_00004101", "prompt": "Calculate: 38 * (2 - 0 - 54)", "solution_steps": ["Subtract: 2 - 0 = 2", "Subtract: 2 - 54 = -52", "Multiply: 38 * (-52) = -1976"], "final_answer": "-1976", "answer_type": "integer", "kind": "expression", "math_text": "38 * (2 - 0 - 54)", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 2, \"c\": 0, \"d\": 54}", "seed": "12210215632256982281", "semantic_fingerprint": "sha256:35fd98058cd82cd7d4d343c08b43114a77da30cfaffc6ee9f080ae0963ba25bd", "generator_version": "3.0"}
{"id": "v3_val_00004102", "prompt": "Compute: (-66 - (-73)) / (-974 / 99) - (277 + 21)", "solution_steps": ["Subtract: -66 - (-73) = 7", "Divide: -974 / 99 = -974/99", "Divide: 7 / (-974/99) = -693/974", "Add: 277 + 21 = 298", "Subtract: -693/974 - 298 = -290945/974"], "final_answer": "-290945/974", "answer_type": "rational", "kind": "expression", "math_text": "(-66 - (-73)) / (-974 / 99) - (277 + 21)", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n n) (/ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -73, \"c\": -974, \"d\": 99, \"e\": 277, \"f\": 21}", "seed": "4620148124997902820", "semantic_fingerprint": "sha256:2a779d244c043beab8fae47cf8b7dba8177868ec7de6c30ab93f0ade73988c27", "generator_version": "3.0"}
{"id": "v3_val_00004103", "prompt": "Solve the equation x + 10 = 5x + 6 for x.", "solution_steps": ["Subtract 5x from both sides: -4x + 10 = 6", "Subtract 10 from both sides: -4x = -4", "Divide both sides by -4: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 10 = 5x + 6", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 6}", "seed": "15325896101192650972", "semantic_fingerprint": "sha256:0ac27da93762eff5a4c6902c017f8b362180c29f866df874ff72c288481e30ca", "generator_version": "3.0"}
{"id": "v3_val_00004104", "prompt": "Compute: -212 * 0 * 87", "solution_steps": ["Multiply: -212 * 0 = 0", "Multiply: 0 * 87 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-212 * 0 * 87", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -212, \"b\": 0, \"c\": 87}", "seed": "11352609025193891833", "semantic_fingerprint": "sha256:a11a30b376c45098761a62acc4db891de9b2b4f4c2889633aba79a50287e195c", "generator_version": "3.0"}
{"id": "v3_val_00004105", "prompt": "Evaluate: -79 * (85 - 764) - 6", "solution_steps": ["Subtract: 85 - 764 = -679", "Multiply: -79 * (-679) = 53641", "Subtract: 53641 - 6 = 53635"], "final_answer": "53635", "answer_type": "integer", "kind": "expression", "math_text": "-79 * (85 - 764) - 6", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 85, \"c\": 764, \"d\": 6}", "seed": "15465662708475373508", "semantic_fingerprint": "sha256:6fa33ff725ee7357ac97e8a0eeb74b1b1c4f859bb0d8338df06019abf8adab13", "generator_version": "3.0"}
{"id": "v3_val_00004106", "prompt": "Calculate: 5 - (-271)", "solution_steps": ["Subtract: 5 - (-271) = 276"], "final_answer": "276", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-271)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -271}", "seed": "14562178684520099706", "semantic_fingerprint": "sha256:bf08347b8b6a28ab703cbce5b45c3c45e215efa6417be3c50666b71abb8d7391", "generator_version": "3.0"}
{"id": "v3_val_00004107", "prompt": "Calculate: 96 + 9 * (85 + 22) - (-734)", "solution_steps": ["Add: 85 + 22 = 107", "Multiply: 9 * 107 = 963", "Add: 96 + 963 = 1059", "Subtract: 1059 - (-734) = 1793"], "final_answer": "1793", "answer_type": "integer", "kind": "expression", "math_text": "96 + 9 * (85 + 22) - (-734)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 9, \"c\": 85, \"d\": 22, \"e\": -734}", "seed": "13675501358007113003", "semantic_fingerprint": "sha256:71902d8d3a3277d2e8b7f24be50ea09e1c7c71ea448eb8ad5af57f152143245d", "generator_version": "3.0"}
{"id": "v3_val_00004108", "prompt": "What is 2 - (43 + (-79))?", "solution_steps": ["Add: 43 + (-79) = -36", "Subtract: 2 - (-36) = 38"], "final_answer": "38", "answer_type": "integer", "kind": "expression", "math_text": "2 - (43 + (-79))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 43, \"c\": -79}", "seed": "8638244962017012978", "semantic_fingerprint": "sha256:a5dcb48d9d96e35280b6147eff2285ec10abba809f333b445a128d0e4f9fd919", "generator_version": "3.0"}
{"id": "v3_val_00004109", "prompt": "Evaluate: 371 + (-417)", "solution_steps": ["Add: 371 + (-417) = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "371 + (-417)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 371, \"b\": -417}", "seed": "16214172264090731351", "semantic_fingerprint": "sha256:2ea2e6213e405d9c34017208b255eddffbb0e45f430209f19c8ef4fca70acf0a", "generator_version": "3.0"}
{"id": "v3_val_00004110", "prompt": "Find x: 7(x + 7) + 31 = 2x", "solution_steps": ["Expand: 7x + 49 + 31 = 2x", "Combine constants: 7x + 80 = 2x", "Subtract 2x from 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": "7(x + 7) + 31 = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 2, \"e\": 31, \"x\": -16}", "seed": "10095680422288874167", "semantic_fingerprint": "sha256:60b2c1e52ce3482fd81b4432d1a91d40cb77cd44dc6d4b30627f885cdcea2f92", "generator_version": "3.0"}
{"id": "v3_val_00004111", "prompt": "Solve the equation -2(x - 2) - 9 = -10x - 101 for x.", "solution_steps": ["Expand: -2x + 4 - 9 = -10x - 101", "Combine constants: -2x - 5 = -10x - 101", "Add 10x to both sides: 8x - 5 = -101", "Add 5 to both sides: 8x = -96", "Divide both sides by 8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 2) - 9 = -10x - 101", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 9, \"d\": -10, \"f\": -101, \"x\": -12}", "seed": "482158761046893307", "semantic_fingerprint": "sha256:00d37059b5915f567a70c556b31eef4efb82c6c3b0b936e7a2cda0e2f1e6aa79", "generator_version": "3.0"}
{"id": "v3_val_00004112", "prompt": "What is -6 / (-67)?", "solution_steps": ["Divide: -6 / (-67) = 6/67"], "final_answer": "6/67", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-67)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -67}", "seed": "2872460077657449722", "semantic_fingerprint": "sha256:0e6c9905fe42c31b1ba933a5b1a6f21d70253b21afda2d6bec64214d8b9c2bce", "generator_version": "3.0"}
{"id": "v3_val_00004113", "prompt": "Calculate: -799 * 7", "solution_steps": ["Multiply: -799 * 7 = -5593"], "final_answer": "-5593", "answer_type": "integer", "kind": "expression", "math_text": "-799 * 7", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -799, \"b\": 7}", "seed": "2987108904892437252", "semantic_fingerprint": "sha256:7a5c7af4f14520eb3a8bc98703de8185b5360166ecab0588db06bf18bffd08d0", "generator_version": "3.0"}
{"id": "v3_val_00004114", "prompt": "What is -60 * 54 - (-561 + (-1) * (-3))?", "solution_steps": ["Multiply: -60 * 54 = -3240", "Multiply: -1 * (-3) = 3", "Add: -561 + 3 = -558", "Subtract: -3240 - (-558) = -2682"], "final_answer": "-2682", "answer_type": "integer", "kind": "expression", "math_text": "-60 * 54 - (-561 + (-1) * (-3))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 54, \"c\": -561, \"d\": -1, \"e\": -3}", "seed": "6942724971566133008", "semantic_fingerprint": "sha256:ab2e531685ffc92bfd623a6bd35aa0d6f28bae0edd0471b0607d7fbc39e5642f", "generator_version": "3.0"}
{"id": "v3_val_00004115", "prompt": "Compute: -3 / (9 + 19 - 9)", "solution_steps": ["Add: 9 + 19 = 28", "Subtract: 28 - 9 = 19", "Divide: -3 / 19 = -3/19"], "final_answer": "-3/19", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (9 + 19 - 9)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 19, \"d\": 9}", "seed": "11571563080060153594", "semantic_fingerprint": "sha256:c4db4aaf071fc7e7f29e78c4fcf436982e701d83aeb741fd758df92aeb073d5d", "generator_version": "3.0"}
{"id": "v3_val_00004116", "prompt": "Compute: -8 + (-98 + 7)", "solution_steps": ["Add: -98 + 7 = -91", "Add: -8 + (-91) = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-98 + 7)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -98, \"c\": 7}", "seed": "9012652257370396555", "semantic_fingerprint": "sha256:ef50486fb87d937b0a7ecdf16328f28357eec1e125d6aa4df5404a10e712fea1", "generator_version": "3.0"}
{"id": "v3_val_00004117", "prompt": "Compute: 1 - (-24)", "solution_steps": ["Subtract: 1 - (-24) = 25"], "final_answer": "25", "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": "14377606986069989812", "semantic_fingerprint": "sha256:554f888d1dedb2a36b3d7cc44a64c38be2b8ddc5f38e4bd072bc6dbe12aa4577", "generator_version": "3.0"}
{"id": "v3_val_00004118", "prompt": "Solve for x: 10(x - 20) + 17 = x - 138", "solution_steps": ["Expand: 10x - 200 + 17 = x - 138", "Combine constants: 10x - 183 = x - 138", "Subtract x from both sides: 9x - 183 = -138", "Add 183 to both sides: 9x = 45", "Divide both sides by 9: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 20) + 17 = x - 138", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 20, \"c\": 17, \"e\": -138, \"x\": 5}", "seed": "10958061512309285167", "semantic_fingerprint": "sha256:5debe7b491a18081921005d98e15ba2f390ca8d41636a169425a9d62d8f8988b", "generator_version": "3.0"}
{"id": "v3_val_00004119", "prompt": "What value of x satisfies 3(x - 80) = -7(x - 8) - 296?", "solution_steps": ["Expand: 3x - 240 = -7(x - 8) - 296", "Expand: 3x - 240 = -7x + 56 - 296", "Combine constants: 3x - 240 = -7x - 240", "Add 7x to both sides: 10x - 240 = -240", "Add 240 to both sides: 10x = 0", "Divide both sides by 10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 80) = -7(x - 8) - 296", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 80, \"c\": -7, \"d\": 8, \"f\": -296, \"x\": 0}", "seed": "14571326101802376522", "semantic_fingerprint": "sha256:48ba432ba94d08d8db6d857d0df39fd65efc90190f88f84f311ab5e77e9f8935", "generator_version": "3.0"}
{"id": "v3_val_00004120", "prompt": "Compute: -4 - (-704) * (-6)", "solution_steps": ["Multiply: -704 * (-6) = 4224", "Subtract: -4 - 4224 = -4228"], "final_answer": "-4228", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-704) * (-6)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -704, \"c\": -6}", "seed": "1416160647802723103", "semantic_fingerprint": "sha256:317fd445bec1ce3dfbf76d63addeeb7a424bdf7016b1d31b0b04424507a49fa4", "generator_version": "3.0"}
{"id": "v3_val_00004121", "prompt": "Evaluate: (-699 + 884) / (58 - 863) - (-6)", "solution_steps": ["Add: -699 + 884 = 185", "Subtract: 58 - 863 = -805", "Divide: 185 / (-805) = -37/161", "Subtract: -37/161 - (-6) = 929/161"], "final_answer": "929/161", "answer_type": "rational", "kind": "expression", "math_text": "(-699 + 884) / (58 - 863) - (-6)", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -699, \"b\": 884, \"c\": 58, \"d\": 863, \"e\": -6}", "seed": "1308679961208229099", "semantic_fingerprint": "sha256:37d704e18f866897bfbbfc4e14609187851b0af3f6e545990594ae11f992d4d2", "generator_version": "3.0"}
{"id": "v3_val_00004122", "prompt": "Evaluate: (-773 - (-64) * 5) / (8 * (-32) - (-420))", "solution_steps": ["Multiply: -64 * 5 = -320", "Subtract: -773 - (-320) = -453", "Multiply: 8 * (-32) = -256", "Subtract: -256 - (-420) = 164", "Divide: -453 / 164 = -453/164"], "final_answer": "-453/164", "answer_type": "rational", "kind": "expression", "math_text": "(-773 - (-64) * 5) / (8 * (-32) - (-420))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -773, \"b\": -64, \"c\": 5, \"d\": 8, \"e\": -32, \"f\": -420}", "seed": "2124684626144325509", "semantic_fingerprint": "sha256:4604fd83f77439d2a3f9af52d6f1d4b0e1238a3675b92f0d874d45564c67540a", "generator_version": "3.0"}
{"id": "v3_val_00004123", "prompt": "What is 674 * 11 / ((8 - 959) * 1) / 7?", "solution_steps": ["Multiply: 674 * 11 = 7414", "Subtract: 8 - 959 = -951", "Multiply: -951 * 1 = -951", "Divide: 7414 / (-951) = -7414/951", "Divide: (-7414/951) / 7 = -7414/6657"], "final_answer": "-7414/6657", "answer_type": "rational", "kind": "expression", "math_text": "674 * 11 / ((8 - 959) * 1) / 7", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 674, \"b\": 11, \"c\": 8, \"d\": 959, \"e\": 1, \"f\": 7}", "seed": "13576295381672593265", "semantic_fingerprint": "sha256:003d02c5712a7accd59a51eca81ee422482c757c7009babad84874bdc9950f61", "generator_version": "3.0"}
{"id": "v3_val_00004124", "prompt": "What is 7 / (-45) * 65?", "solution_steps": ["Divide: 7 / (-45) = -7/45", "Multiply: (-7/45) * 65 = -91/9"], "final_answer": "-91/9", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-45) * 65", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -45, \"c\": 65}", "seed": "6051537421728504170", "semantic_fingerprint": "sha256:0174361564313b95fa63be34d4325aecc65bba75738600e681f8eb1222f4296e", "generator_version": "3.0"}
{"id": "v3_val_00004125", "prompt": "Find x: -4(x + 2) + 27 = 8x + 58", "solution_steps": ["Expand: -4x - 8 + 27 = 8x + 58", "Combine constants: -4x + 19 = 8x + 58", "Subtract 8x from both sides: -12x + 19 = 58", "Subtract 19 from both sides: -12x = 39", "Divide both sides by -12: x = -13/4"], "final_answer": "-13/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 2) + 27 = 8x + 58", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2, \"c\": 27, \"d\": 8, \"e\": 58}", "seed": "8439484340754008879", "semantic_fingerprint": "sha256:3f954d3d4cc73530b68ff3efe48fef6635932c3ae32b3b35a0db561fdd26faeb", "generator_version": "3.0"}
{"id": "v3_val_00004126", "prompt": "What value of x satisfies -5(x + 93) = x - 423?", "solution_steps": ["Expand: -5x - 465 = x - 423", "Subtract x from both sides: -6x - 465 = -423", "Add 465 to both sides: -6x = 42", "Divide both sides by -6: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 93) = x - 423", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 93, \"d\": -423, \"x\": -7}", "seed": "11196529690135248394", "semantic_fingerprint": "sha256:a02a4105ec968962bdba14d9f56584075a7308af25d01cb92ff2398f2da4ebc8", "generator_version": "3.0"}
{"id": "v3_val_00004127", "prompt": "Calculate: 760 + (-37) + 8", "solution_steps": ["Add: 760 + (-37) = 723", "Add: 723 + 8 = 731"], "final_answer": "731", "answer_type": "integer", "kind": "expression", "math_text": "760 + (-37) + 8", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 760, \"b\": -37, \"c\": 8}", "seed": "9776612525451115133", "semantic_fingerprint": "sha256:bf4c93433a8bdfa4cd293cc67fa04d5183268fbd396b5edd6598069fc5bda675", "generator_version": "3.0"}
{"id": "v3_val_00004128", "prompt": "Compute: -334 / (-2) + (536 + (-716))", "solution_steps": ["Divide: -334 / (-2) = 167", "Add: 536 + (-716) = -180", "Add: 167 + (-180) = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "-334 / (-2) + (536 + (-716))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -334, \"b\": -2, \"c\": 536, \"d\": -716}", "seed": "11930041886853882867", "semantic_fingerprint": "sha256:20d6c2871f41cf3dc5d23a9bbdd19fd4cdd69735908e0db3f4961724985b9c4c", "generator_version": "3.0"}
{"id": "v3_val_00004129", "prompt": "Find x: x - 5 = -7(x - 4) - 137", "solution_steps": ["Expand: x - 5 = -7x + 28 - 137", "Combine constants: x - 5 = -7x - 109", "Add 7x to both sides: 8x - 5 = -109", "Add 5 to both sides: 8x = -104", "Divide both sides by 8: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = -7(x - 4) - 137", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -7, \"c\": 4, \"e\": -137, \"x\": -13}", "seed": "2142686111977314514", "semantic_fingerprint": "sha256:a02c839c5ebb342eeb98948b5524b5934ea63cececea9ad94c276a2a0431cf18", "generator_version": "3.0"}
{"id": "v3_val_00004130", "prompt": "What value of x satisfies 9(x - 91) + 9 = 8(x - 63) - 325?", "solution_steps": ["Expand: 9x - 819 + 9 = 8(x - 63) - 325", "Expand: 9x - 819 + 9 = 8x - 504 - 325", "Combine constants: 9x - 810 = 8x - 504 - 325", "Combine constants: 9x - 810 = 8x - 829", "Subtract 8x from both sides: x - 810 = -829", "Add 810 to both sides: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 91) + 9 = 8(x - 63) - 325", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 91, \"c\": 9, \"d\": 8, \"e\": 63, \"g\": -325, \"x\": -19}", "seed": "5547949803136188921", "semantic_fingerprint": "sha256:0a57a921617458ce13e30e05d1355294ee8f280eea1e9e0f05c6b143a5690bf7", "generator_version": "3.0"}
{"id": "v3_val_00004131", "prompt": "Evaluate: 6 - 9 - (465 - 8)", "solution_steps": ["Subtract: 6 - 9 = -3", "Subtract: 465 - 8 = 457", "Subtract: -3 - 457 = -460"], "final_answer": "-460", "answer_type": "integer", "kind": "expression", "math_text": "6 - 9 - (465 - 8)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 465, \"d\": 8}", "seed": "667431548029418361", "semantic_fingerprint": "sha256:60654d4a7bc0c802ae18ee3fffd9a7f58868f7d2b5e0f4d1ce0d7350f141769d", "generator_version": "3.0"}
{"id": "v3_val_00004132", "prompt": "Calculate: 6 + (-4)", "solution_steps": ["Add: 6 + (-4) = 2"], "final_answer": "2", "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": "3999779577302642083", "semantic_fingerprint": "sha256:3230bd43c4d2bb4ba9d6b6aa593292586997ae0d38aa52fa30daccde36f02249", "generator_version": "3.0"}
{"id": "v3_val_00004133", "prompt": "Calculate: -7 * 92 + (-933)", "solution_steps": ["Multiply: -7 * 92 = -644", "Add: -644 + (-933) = -1577"], "final_answer": "-1577", "answer_type": "integer", "kind": "expression", "math_text": "-7 * 92 + (-933)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 92, \"c\": -933}", "seed": "16212127211143925147", "semantic_fingerprint": "sha256:ab11bc5682400d4b7d971901b58f86b47cad7f50ff1f8bda0b9e11d3d96025f2", "generator_version": "3.0"}
{"id": "v3_val_00004134", "prompt": "Evaluate: -87 - (-68 - 18) + (-4)", "solution_steps": ["Subtract: -68 - 18 = -86", "Subtract: -87 - (-86) = -1", "Add: -1 + (-4) = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "-87 - (-68 - 18) + (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": -68, \"c\": 18, \"d\": -4}", "seed": "14346466978597294729", "semantic_fingerprint": "sha256:beafa994f5cc181cc2a24d296d1cbbada9828762b169900680544074b1339b7e", "generator_version": "3.0"}
{"id": "v3_val_00004135", "prompt": "What is -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": "3331619905873296227", "semantic_fingerprint": "sha256:fa52f637bda7c1e6dab8f4abea61c2d86ebd8a65f076c1c76f36809fd51eca44", "generator_version": "3.0"}
{"id": "v3_val_00004136", "prompt": "Compute: 90 - 559", "solution_steps": ["Subtract: 90 - 559 = -469"], "final_answer": "-469", "answer_type": "integer", "kind": "expression", "math_text": "90 - 559", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 559}", "seed": "16489733801760083576", "semantic_fingerprint": "sha256:4c488bcb10108397891f9d2c7c13b0f088e2582a706dfe4e73a355153a2c90e1", "generator_version": "3.0"}
{"id": "v3_val_00004137", "prompt": "Evaluate: -3 * (-60) * (590 + (-51)) / 63 - 4", "solution_steps": ["Multiply: -3 * (-60) = 180", "Add: 590 + (-51) = 539", "Multiply: 180 * 539 = 97020", "Divide: 97020 / 63 = 1540", "Subtract: 1540 - 4 = 1536"], "final_answer": "1536", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-60) * (590 + (-51)) / 63 - 4", "variable": null, "family": "expression_5op", "shape": "(- (/ (* (* n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -60, \"c\": 590, \"d\": -51, \"e\": 63, \"f\": 4}", "seed": "2341723234925832567", "semantic_fingerprint": "sha256:09758de1d20b9da2c6518be4f2a33cf5f5045bd6acf4cbeb6788ccc378360516", "generator_version": "3.0"}
{"id": "v3_val_00004138", "prompt": "Compute: (860 / (-50) + (-782)) / ((31 + (-20)) * 9)", "solution_steps": ["Divide: 860 / (-50) = -86/5", "Add: -86/5 + (-782) = -3996/5", "Add: 31 + (-20) = 11", "Multiply: 11 * 9 = 99", "Divide: (-3996/5) / 99 = -444/55"], "final_answer": "-444/55", "answer_type": "rational", "kind": "expression", "math_text": "(860 / (-50) + (-782)) / ((31 + (-20)) * 9)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n n) n) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 860, \"b\": -50, \"c\": -782, \"d\": 31, \"e\": -20, \"f\": 9}", "seed": "4965721558428178988", "semantic_fingerprint": "sha256:ce36a79b366a9aca367a15fcdaf0963931b080ef0dd4994e3913d666d93dd100", "generator_version": "3.0"}
{"id": "v3_val_00004139", "prompt": "Find x: -5(x + 1) + 85 = 101", "solution_steps": ["Expand: -5x - 5 + 85 = 101", "Combine constants: -5x + 80 = 101", "Subtract 80 from both sides: -5x = 21", "Divide both sides by -5: x = -21/5"], "final_answer": "-21/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 1) + 85 = 101", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": 85, \"d\": 101}", "seed": "3916201022029530568", "semantic_fingerprint": "sha256:deba53b1a96e12f8e41912dcf9a36786e13392e4aa9bc39c20e6336e30cbbba7", "generator_version": "3.0"}
{"id": "v3_val_00004140", "prompt": "Solve for x: 5(x + 26) = x", "solution_steps": ["Expand: 5x + 130 = x", "Subtract x from both sides: 4x + 130 = 0", "Subtract 130 from both sides: 4x = -130", "Divide both sides by 4: x = -65/2"], "final_answer": "-65/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 26) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 26}", "seed": "10315817233265683596", "semantic_fingerprint": "sha256:628c47203a2dd1baa91b48de885f3387c39ea1d069c047f03049771942e50251", "generator_version": "3.0"}
{"id": "v3_val_00004141", "prompt": "Compute: -55 + (-47) * (33 - 13 / 5)", "solution_steps": ["Divide: 13 / 5 = 13/5", "Subtract: 33 - 13/5 = 152/5", "Multiply: -47 * (152/5) = -7144/5", "Add: -55 + (-7144/5) = -7419/5"], "final_answer": "-7419/5", "answer_type": "rational", "kind": "expression", "math_text": "-55 + (-47) * (33 - 13 / 5)", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -47, \"c\": 33, \"d\": 13, \"e\": 5}", "seed": "12385051828304572905", "semantic_fingerprint": "sha256:fcd6c7dd92b14387bfb9afadd446dc364d0d445d7192511f1fcfc19c50dccd57", "generator_version": "3.0"}
{"id": "v3_val_00004142", "prompt": "What value of x satisfies -3(x + 5) = -6x + 51?", "solution_steps": ["Expand: -3x - 15 = -6x + 51", "Add 6x to both sides: 3x - 15 = 51", "Add 15 to both sides: 3x = 66", "Divide both sides by 3: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 5) = -6x + 51", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 5, \"c\": -6, \"d\": 51}", "seed": "4409457605415518022", "semantic_fingerprint": "sha256:f69c7dc9b1908cf3b4fc04ee22b480d840a731bb73881dac729b10c3dc25c83c", "generator_version": "3.0"}
{"id": "v3_val_00004143", "prompt": "Find x: 3(x + 46) - 7 = 4(x + 8) + 2", "solution_steps": ["Expand: 3x + 138 - 7 = 4(x + 8) + 2", "Expand: 3x + 138 - 7 = 4x + 32 + 2", "Combine constants: 3x + 131 = 4x + 32 + 2", "Combine constants: 3x + 131 = 4x + 34", "Subtract 4x from both sides: -x + 131 = 34", "Subtract 131 from both sides: -x = -97", "Divide both sides by -1: x = 97"], "final_answer": "97", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 46) - 7 = 4(x + 8) + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 46, \"c\": 7, \"d\": 4, \"e\": 8, \"f\": 2}", "seed": "13626463078349214547", "semantic_fingerprint": "sha256:684ae143c25f15c05a77f3a61c4b9c1c2ad96057c24c1669b30859f263bcc05f", "generator_version": "3.0"}
{"id": "v3_val_00004144", "prompt": "Calculate: (-3 + 79) * (-82 + 4 - (-95) - 68)", "solution_steps": ["Add: -3 + 79 = 76", "Add: -82 + 4 = -78", "Subtract: -78 - (-95) = 17", "Subtract: 17 - 68 = -51", "Multiply: 76 * (-51) = -3876"], "final_answer": "-3876", "answer_type": "integer", "kind": "expression", "math_text": "(-3 + 79) * (-82 + 4 - (-95) - 68)", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (- (- (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 79, \"c\": -82, \"d\": 4, \"e\": -95, \"f\": 68}", "seed": "18269850592768655070", "semantic_fingerprint": "sha256:de88bd4b7c162af4f37de6adf50533ee86113826e3f54c95268615555531e54f", "generator_version": "3.0"}
{"id": "v3_val_00004145", "prompt": "What value of x satisfies -2(x + 46) + 4 = x - 76?", "solution_steps": ["Expand: -2x - 92 + 4 = x - 76", "Combine constants: -2x - 88 = x - 76", "Subtract x from both sides: -3x - 88 = -76", "Add 88 to both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 46) + 4 = x - 76", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 46, \"c\": 4, \"e\": -76, \"x\": -4}", "seed": "14971893045187381899", "semantic_fingerprint": "sha256:7c8b596fea73ae4cb37f5a86e32412320ea0ff290a20e90d3f4ac4e77fe3cb79", "generator_version": "3.0"}
{"id": "v3_val_00004146", "prompt": "Solve the equation -5x = -33 for x.", "solution_steps": ["Divide both sides by -5: x = 33/5"], "final_answer": "33/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = -33", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -33}", "seed": "15182584689352627681", "semantic_fingerprint": "sha256:6afc9930625178de7453570fed33290e7282a3efd77b915f4d495a40cac44652", "generator_version": "3.0"}
{"id": "v3_val_00004147", "prompt": "Solve for x: 2x + 20 = -11x - 4", "solution_steps": ["Add 11x to both sides: 13x + 20 = -4", "Subtract 20 from both sides: 13x = -24", "Divide both sides by 13: x = -24/13"], "final_answer": "-24/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x + 20 = -11x - 4", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 20, \"c\": -11, \"d\": 4}", "seed": "283652195818809709", "semantic_fingerprint": "sha256:b6cb5897a191a1ffff3346bf1555d4b73584462435330a57844fe1f99846fef2", "generator_version": "3.0"}
{"id": "v3_val_00004148", "prompt": "Calculate: 124 * 0", "solution_steps": ["Multiply: 124 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "124 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 124, \"b\": 0}", "seed": "6742278146955866984", "semantic_fingerprint": "sha256:190dbb9f41dc5a4f09175b6c4993c9d426a0b54f965682cea091908d66c73839", "generator_version": "3.0"}
{"id": "v3_val_00004149", "prompt": "Calculate: 303 * (70 - (-5) + 231) * 9", "solution_steps": ["Subtract: 70 - (-5) = 75", "Add: 75 + 231 = 306", "Multiply: 303 * 306 = 92718", "Multiply: 92718 * 9 = 834462"], "final_answer": "834462", "answer_type": "integer", "kind": "expression", "math_text": "303 * (70 - (-5) + 231) * 9", "variable": null, "family": "expression_4op", "shape": "(* (* n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 303, \"b\": 70, \"c\": -5, \"d\": 231, \"e\": 9}", "seed": "2591099698112553288", "semantic_fingerprint": "sha256:e59088a1284fb6ee606d3c5c00f1ee8118ffab5c61f0e165f1247d0a3b9be843", "generator_version": "3.0"}
{"id": "v3_val_00004150", "prompt": "Calculate: (65 + 6) / (-53 * (-15) / 95)", "solution_steps": ["Add: 65 + 6 = 71", "Multiply: -53 * (-15) = 795", "Divide: 795 / 95 = 159/19", "Divide: 71 / (159/19) = 1349/159"], "final_answer": "1349/159", "answer_type": "rational", "kind": "expression", "math_text": "(65 + 6) / (-53 * (-15) / 95)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 6, \"c\": -53, \"d\": -15, \"e\": 95}", "seed": "4227145675962760870", "semantic_fingerprint": "sha256:c90dded6630270d4910d20ef3998b07ea9de639526a5843f2b02541f369064c2", "generator_version": "3.0"}
{"id": "v3_val_00004151", "prompt": "What is -303 * (57 * 9)?", "solution_steps": ["Multiply: 57 * 9 = 513", "Multiply: -303 * 513 = -155439"], "final_answer": "-155439", "answer_type": "integer", "kind": "expression", "math_text": "-303 * (57 * 9)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -303, \"b\": 57, \"c\": 9}", "seed": "17567330811318230756", "semantic_fingerprint": "sha256:0ed269d6c4f31c206da831c99d0fca19747f51176d2f49fbb8c651cce19c87c6", "generator_version": "3.0"}
{"id": "v3_val_00004152", "prompt": "Compute: 321 - (-5) - (-88)", "solution_steps": ["Subtract: 321 - (-5) = 326", "Subtract: 326 - (-88) = 414"], "final_answer": "414", "answer_type": "integer", "kind": "expression", "math_text": "321 - (-5) - (-88)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 321, \"b\": -5, \"c\": -88}", "seed": "18013036081935031286", "semantic_fingerprint": "sha256:dbd6328d40881e4aa9833c2773474aeab1673ddfbf1a1179f8067ae0d3e7a849", "generator_version": "3.0"}
{"id": "v3_val_00004153", "prompt": "What is (61 + (-86) - 9) / (80 - (-18))?", "solution_steps": ["Add: 61 + (-86) = -25", "Subtract: -25 - 9 = -34", "Subtract: 80 - (-18) = 98", "Divide: -34 / 98 = -17/49"], "final_answer": "-17/49", "answer_type": "rational", "kind": "expression", "math_text": "(61 + (-86) - 9) / (80 - (-18))", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -86, \"c\": 9, \"d\": 80, \"e\": -18}", "seed": "2629010459156483699", "semantic_fingerprint": "sha256:fd52b627f0d5b7b01709910871c838c2e425edc2b66775defe9aaa9816ed5793", "generator_version": "3.0"}
{"id": "v3_val_00004154", "prompt": "Evaluate: (-5 / (-890) - (-23)) / (72 / (-5))", "solution_steps": ["Divide: -5 / (-890) = 1/178", "Subtract: 1/178 - (-23) = 4095/178", "Divide: 72 / (-5) = -72/5", "Divide: (4095/178) / (-72/5) = -2275/1424"], "final_answer": "-2275/1424", "answer_type": "rational", "kind": "expression", "math_text": "(-5 / (-890) - (-23)) / (72 / (-5))", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -890, \"c\": -23, \"d\": 72, \"e\": -5}", "seed": "9267040921621164829", "semantic_fingerprint": "sha256:781d448cc3483a10210b750d988155d8ad2fbd81595b8f00341af981c007f782", "generator_version": "3.0"}
{"id": "v3_val_00004155", "prompt": "Solve for x: -12(x - 3) = 7(x + 13) + 88", "solution_steps": ["Expand: -12x + 36 = 7(x + 13) + 88", "Expand: -12x + 36 = 7x + 91 + 88", "Combine constants: -12x + 36 = 7x + 179", "Subtract 7x from both sides: -19x + 36 = 179", "Subtract 36 from both sides: -19x = 143", "Divide both sides by -19: x = -143/19"], "final_answer": "-143/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 3) = 7(x + 13) + 88", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 7, \"d\": 13, \"e\": 88}", "seed": "16093938397989568502", "semantic_fingerprint": "sha256:331fdb1b1058e0be13d09eb1ace918b9700e59f320520dc09a907a02122ce124", "generator_version": "3.0"}
{"id": "v3_val_00004156", "prompt": "Solve for x: 3(x + 7) + 4 = 10(x - 8) + 5", "solution_steps": ["Expand: 3x + 21 + 4 = 10(x - 8) + 5", "Expand: 3x + 21 + 4 = 10x - 80 + 5", "Combine constants: 3x + 25 = 10x - 80 + 5", "Combine constants: 3x + 25 = 10x - 75", "Subtract 10x from both sides: -7x + 25 = -75", "Subtract 25 from both sides: -7x = -100", "Divide both sides by -7: x = 100/7"], "final_answer": "100/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 7) + 4 = 10(x - 8) + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 4, \"d\": 10, \"e\": 8, \"f\": 5}", "seed": "4173402190043009152", "semantic_fingerprint": "sha256:02524d00907d59dce00bba5df7f8ffb8205a440091666b798734a593c4f22387", "generator_version": "3.0"}
{"id": "v3_val_00004157", "prompt": "Evaluate: (90 + (512 + 82)) / (-964)", "solution_steps": ["Add: 512 + 82 = 594", "Add: 90 + 594 = 684", "Divide: 684 / (-964) = -171/241"], "final_answer": "-171/241", "answer_type": "rational", "kind": "expression", "math_text": "(90 + (512 + 82)) / (-964)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 512, \"c\": 82, \"d\": -964}", "seed": "3381016464423883161", "semantic_fingerprint": "sha256:f35724960ef21f0da69bae353eddd387782215aa3024bfa9bc8fb28b47a3d25b", "generator_version": "3.0"}
{"id": "v3_val_00004158", "prompt": "Calculate: -16 + 9 - (-541) - 226 * 27", "solution_steps": ["Add: -16 + 9 = -7", "Subtract: -7 - (-541) = 534", "Multiply: 226 * 27 = 6102", "Subtract: 534 - 6102 = -5568"], "final_answer": "-5568", "answer_type": "integer", "kind": "expression", "math_text": "-16 + 9 - (-541) - 226 * 27", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 9, \"c\": -541, \"d\": 226, \"e\": 27}", "seed": "6649150588835022321", "semantic_fingerprint": "sha256:511c50bc0885d26c18bdad954f196780bb3840a1a8a419ad0e2c17875083bef2", "generator_version": "3.0"}
{"id": "v3_val_00004159", "prompt": "Find x: 12(x - 1) - 197 = x", "solution_steps": ["Expand: 12x - 12 - 197 = x", "Combine constants: 12x - 209 = x", "Subtract x from 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": "12(x - 1) - 197 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"d\": -197, \"x\": 19}", "seed": "4973236238836549578", "semantic_fingerprint": "sha256:95724a1af789a45b8e887c5491386b09ea66cb91e6ba87fda590af306ea2afdd", "generator_version": "3.0"}
{"id": "v3_val_00004160", "prompt": "Calculate: -26 - (-84)", "solution_steps": ["Subtract: -26 - (-84) = 58"], "final_answer": "58", "answer_type": "integer", "kind": "expression", "math_text": "-26 - (-84)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -84}", "seed": "9613485094655826700", "semantic_fingerprint": "sha256:b68755ac54b04ce3ef6340392e3ec49296c120f160dbd21c38b684b812fa3e32", "generator_version": "3.0"}
{"id": "v3_val_00004161", "prompt": "Compute: -56 / 9 + 95 + 4", "solution_steps": ["Divide: -56 / 9 = -56/9", "Add: -56/9 + 95 = 799/9", "Add: 799/9 + 4 = 835/9"], "final_answer": "835/9", "answer_type": "rational", "kind": "expression", "math_text": "-56 / 9 + 95 + 4", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 9, \"c\": 95, \"d\": 4}", "seed": "7939826840097305356", "semantic_fingerprint": "sha256:dff7252f1fe63fa2adee8a708112e5a2e2b2ef3e3fc2515530c154587d0f2b4f", "generator_version": "3.0"}
{"id": "v3_val_00004162", "prompt": "What is 23 - (-962) + (-75) + 234?", "solution_steps": ["Subtract: 23 - (-962) = 985", "Add: 985 + (-75) = 910", "Add: 910 + 234 = 1144"], "final_answer": "1144", "answer_type": "integer", "kind": "expression", "math_text": "23 - (-962) + (-75) + 234", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -962, \"c\": -75, \"d\": 234}", "seed": "18274767150540515825", "semantic_fingerprint": "sha256:2cde76669d0172f094bf71fbea340812da20a324fd2abf1d66bfa88f5247bb4a", "generator_version": "3.0"}
{"id": "v3_val_00004163", "prompt": "Evaluate: -8 / (-38) * (-84)", "solution_steps": ["Divide: -8 / (-38) = 4/19", "Multiply: (4/19) * (-84) = -336/19"], "final_answer": "-336/19", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-38) * (-84)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -38, \"c\": -84}", "seed": "16937422681637369721", "semantic_fingerprint": "sha256:eb22a09d5499e5498f4f172dc009bca9fc2e78319c1ac4c8cb2a71ad654c62a5", "generator_version": "3.0"}
{"id": "v3_val_00004164", "prompt": "Compute: -319 * 76 - (-891 - 769)", "solution_steps": ["Multiply: -319 * 76 = -24244", "Subtract: -891 - 769 = -1660", "Subtract: -24244 - (-1660) = -22584"], "final_answer": "-22584", "answer_type": "integer", "kind": "expression", "math_text": "-319 * 76 - (-891 - 769)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -319, \"b\": 76, \"c\": -891, \"d\": 769}", "seed": "8711970523878323354", "semantic_fingerprint": "sha256:07901e8685a608cc8af0be98f98b27db1c88604e990f300de0b4d029fa05e350", "generator_version": "3.0"}
{"id": "v3_val_00004165", "prompt": "Solve for x: -8(x - 7) - 3 = x", "solution_steps": ["Expand: -8x + 56 - 3 = x", "Combine constants: -8x + 53 = x", "Subtract x from both sides: -9x + 53 = 0", "Subtract 53 from both sides: -9x = -53", "Divide both sides by -9: x = 53/9"], "final_answer": "53/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 7) - 3 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 7, \"c\": 3}", "seed": "13757797081211512158", "semantic_fingerprint": "sha256:2395392ab4b0deddf23a5cdf7d1bb2d2f07fbd25268415d0f5f9fe63a54003df", "generator_version": "3.0"}
{"id": "v3_val_00004166", "prompt": "What is 7 - (-7) - (577 + 11)?", "solution_steps": ["Subtract: 7 - (-7) = 14", "Add: 577 + 11 = 588", "Subtract: 14 - 588 = -574"], "final_answer": "-574", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-7) - (577 + 11)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -7, \"c\": 577, \"d\": 11}", "seed": "11682609156675706313", "semantic_fingerprint": "sha256:1ad5991f5d0245221d4c29a92e37c11d3cbb04347fa4a85ef6d05baf036e37ae", "generator_version": "3.0"}
{"id": "v3_val_00004167", "prompt": "Solve for x: x + 84 = 9(x + 63)", "solution_steps": ["Expand: x + 84 = 9x + 567", "Subtract 9x from both sides: -8x + 84 = 567", "Subtract 84 from both sides: -8x = 483", "Divide both sides by -8: x = -483/8"], "final_answer": "-483/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 84 = 9(x + 63)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 9, \"c\": 63}", "seed": "16246048722897540846", "semantic_fingerprint": "sha256:a36b272a886a5f1f620dffe4bab44f93d3061a1e446976f4e9d79f9f76adba10", "generator_version": "3.0"}
{"id": "v3_val_00004168", "prompt": "Compute: (28 - 881) * 548", "solution_steps": ["Subtract: 28 - 881 = -853", "Multiply: -853 * 548 = -467444"], "final_answer": "-467444", "answer_type": "integer", "kind": "expression", "math_text": "(28 - 881) * 548", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 881, \"c\": 548}", "seed": "12327507209911505766", "semantic_fingerprint": "sha256:956684c558657924cf0cab611d46b1929cd7b95b4c22b3c28dda4b46db034176", "generator_version": "3.0"}
{"id": "v3_val_00004169", "prompt": "Solve the equation -5(x - 35) + 94 = 3x - 6 for x.", "solution_steps": ["Expand: -5x + 175 + 94 = 3x - 6", "Combine constants: -5x + 269 = 3x - 6", "Subtract 3x from both sides: -8x + 269 = -6", "Subtract 269 from both sides: -8x = -275", "Divide both sides by -8: x = 275/8"], "final_answer": "275/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 35) + 94 = 3x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 35, \"c\": 94, \"d\": 3, \"e\": 6}", "seed": "17844553230056534277", "semantic_fingerprint": "sha256:5476287b95f99ea438c205dbe4b24ca6b1a0f65c7f36d52e59de14315539a2c9", "generator_version": "3.0"}
{"id": "v3_val_00004170", "prompt": "Calculate: -118 - 6 - (-9) / (6 + 48)", "solution_steps": ["Subtract: -118 - 6 = -124", "Add: 6 + 48 = 54", "Divide: -9 / 54 = -1/6", "Subtract: -124 - (-1/6) = -743/6"], "final_answer": "-743/6", "answer_type": "rational", "kind": "expression", "math_text": "-118 - 6 - (-9) / (6 + 48)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -118, \"b\": 6, \"c\": -9, \"d\": 6, \"e\": 48}", "seed": "13923933450546851197", "semantic_fingerprint": "sha256:fe4fbdf5fd153aded3411b2965085cd83bcdf5cde8204983ca9c9d3ca13b086e", "generator_version": "3.0"}
{"id": "v3_val_00004171", "prompt": "Solve the equation x + 156 = 7(x + 12) for x.", "solution_steps": ["Expand: x + 156 = 7x + 84", "Subtract 7x from both sides: -6x + 156 = 84", "Subtract 156 from both sides: -6x = -72", "Divide both sides by -6: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 156 = 7(x + 12)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"d\": 156, \"x\": 12}", "seed": "8624750901320418235", "semantic_fingerprint": "sha256:c5ce0dd145f720e138b838532f1bf2234ae37c762d70afe9f6ad63eea063a89a", "generator_version": "3.0"}
{"id": "v3_val_00004172", "prompt": "Solve for x: x - 56 = 4x - 77", "solution_steps": ["Subtract 4x from both sides: -3x - 56 = -77", "Add 56 to both sides: -3x = -21", "Divide both sides by -3: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 56 = 4x - 77", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 4, \"d\": -77, \"x\": 7}", "seed": "9219081523941236317", "semantic_fingerprint": "sha256:9310065ccbda97089ac2961dc72f4a477f8381544e7551e84ee396d89e2f383f", "generator_version": "3.0"}
{"id": "v3_val_00004173", "prompt": "Find x: 6x + 1 = 11(x + 8) - 92", "solution_steps": ["Expand: 6x + 1 = 11x + 88 - 92", "Combine constants: 6x + 1 = 11x - 4", "Subtract 11x from both sides: -5x + 1 = -4", "Subtract 1 from both sides: -5x = -5", "Divide both sides by -5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 1 = 11(x + 8) - 92", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 11, \"d\": 8, \"f\": -92, \"x\": 1}", "seed": "5111604851045386267", "semantic_fingerprint": "sha256:972dad2262c851034ffcf2cdf545b689250d630df8ad690ef6d12b3b13a31553", "generator_version": "3.0"}
{"id": "v3_val_00004174", "prompt": "Calculate: -9 * (-699) - 7", "solution_steps": ["Multiply: -9 * (-699) = 6291", "Subtract: 6291 - 7 = 6284"], "final_answer": "6284", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-699) - 7", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -699, \"c\": 7}", "seed": "16564927142584064098", "semantic_fingerprint": "sha256:9ad59de2c1a018bacbf8323cf304aa6a11b032a7a3c85c2ccf823a86d23e6e59", "generator_version": "3.0"}
{"id": "v3_val_00004175", "prompt": "What value of x satisfies x - 32 = -4(x + 6)?", "solution_steps": ["Expand: x - 32 = -4x - 24", "Add 4x to both sides: 5x - 32 = -24", "Add 32 to both sides: 5x = 8", "Divide both sides by 5: x = 8/5"], "final_answer": "8/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 32 = -4(x + 6)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -4, \"c\": 6}", "seed": "9531422758696532968", "semantic_fingerprint": "sha256:69652fbbcc04513dd04919f5d7c2a1b13e2727725a4d0ee1defe0733e4a9a9ac", "generator_version": "3.0"}
{"id": "v3_val_00004176", "prompt": "Evaluate: 632 + 66 * (-25)", "solution_steps": ["Multiply: 66 * (-25) = -1650", "Add: 632 + (-1650) = -1018"], "final_answer": "-1018", "answer_type": "integer", "kind": "expression", "math_text": "632 + 66 * (-25)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 632, \"b\": 66, \"c\": -25}", "seed": "8376885155430253853", "semantic_fingerprint": "sha256:d26f57d2a9a21160e96d7e087ac187ffaace0bf1dbf231c206657b24b3ade2ec", "generator_version": "3.0"}
{"id": "v3_val_00004177", "prompt": "What value of x satisfies 9x + 8 = -9(x + 594) - 98?", "solution_steps": ["Expand: 9x + 8 = -9x - 5346 - 98", "Combine constants: 9x + 8 = -9x - 5444", "Add 9x to both sides: 18x + 8 = -5444", "Subtract 8 from both sides: 18x = -5452", "Divide both sides by 18: x = -2726/9"], "final_answer": "-2726/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x + 8 = -9(x + 594) - 98", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": -9, \"d\": 594, \"e\": 98}", "seed": "1639206938231946601", "semantic_fingerprint": "sha256:5bea43c53ac8eb7b742e7ea4952bef4dabc353f963fd6b036e28ceb77bb5a044", "generator_version": "3.0"}
{"id": "v3_val_00004178", "prompt": "What is 705 - (-1)?", "solution_steps": ["Subtract: 705 - (-1) = 706"], "final_answer": "706", "answer_type": "integer", "kind": "expression", "math_text": "705 - (-1)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 705, \"b\": -1}", "seed": "13627468479591728637", "semantic_fingerprint": "sha256:fc541068b729629c677621377c5df59ad4d62023464d6b206a95ef50e76a00c2", "generator_version": "3.0"}
{"id": "v3_val_00004179", "prompt": "Calculate: -18 * 145 - (30 - (-21)) / (-26)", "solution_steps": ["Multiply: -18 * 145 = -2610", "Subtract: 30 - (-21) = 51", "Divide: 51 / (-26) = -51/26", "Subtract: -2610 - (-51/26) = -67809/26"], "final_answer": "-67809/26", "answer_type": "rational", "kind": "expression", "math_text": "-18 * 145 - (30 - (-21)) / (-26)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 145, \"c\": 30, \"d\": -21, \"e\": -26}", "seed": "4731573764885459219", "semantic_fingerprint": "sha256:edfa1a63643561000e910f60e08350e5af6853f9693cf27934a56b6f0b3614d8", "generator_version": "3.0"}
{"id": "v3_val_00004180", "prompt": "Evaluate: -72 - (-26 + 9) * (-923)", "solution_steps": ["Add: -26 + 9 = -17", "Multiply: -17 * (-923) = 15691", "Subtract: -72 - 15691 = -15763"], "final_answer": "-15763", "answer_type": "integer", "kind": "expression", "math_text": "-72 - (-26 + 9) * (-923)", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -26, \"c\": 9, \"d\": -923}", "seed": "1071612587900421573", "semantic_fingerprint": "sha256:b54d1e888ce68c4252b656184b1a40afd04c3eecbcad05bb55165de5dc32405c", "generator_version": "3.0"}
{"id": "v3_val_00004181", "prompt": "Solve for x: 9(x - 66) = 4(x - 1) - 510", "solution_steps": ["Expand: 9x - 594 = 4(x - 1) - 510", "Expand: 9x - 594 = 4x - 4 - 510", "Combine constants: 9x - 594 = 4x - 514", "Subtract 4x from both sides: 5x - 594 = -514", "Add 594 to both sides: 5x = 80", "Divide both sides by 5: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 66) = 4(x - 1) - 510", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 66, \"c\": 4, \"d\": 1, \"f\": -510, \"x\": 16}", "seed": "13903675434908050642", "semantic_fingerprint": "sha256:4a0e9862ebb8b45364c84c4706a9631014ce757a58fa0c4a65dd8da927eb95da", "generator_version": "3.0"}
{"id": "v3_val_00004182", "prompt": "Evaluate: (2 + 26) / (-2 / (60 - (-823)))", "solution_steps": ["Add: 2 + 26 = 28", "Subtract: 60 - (-823) = 883", "Divide: -2 / 883 = -2/883", "Divide: 28 / (-2/883) = -12362"], "final_answer": "-12362", "answer_type": "integer", "kind": "expression", "math_text": "(2 + 26) / (-2 / (60 - (-823)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 26, \"c\": -2, \"d\": 60, \"e\": -823}", "seed": "8778314125754891466", "semantic_fingerprint": "sha256:f6ec5b53b87f5ba94699d96c3a5f77f54be6356d991da862c765a71e8f68bdc1", "generator_version": "3.0"}
{"id": "v3_val_00004183", "prompt": "What is 65 - (-1) * (-78)?", "solution_steps": ["Multiply: -1 * (-78) = 78", "Subtract: 65 - 78 = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "65 - (-1) * (-78)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -1, \"c\": -78}", "seed": "6020704020199351244", "semantic_fingerprint": "sha256:0a03f62c73b13b13ec369fb670ab88e1788df4ff9d4d45711231f6f36c46604b", "generator_version": "3.0"}
{"id": "v3_val_00004184", "prompt": "Evaluate: 95 / (-39) + (-8)", "solution_steps": ["Divide: 95 / (-39) = -95/39", "Add: -95/39 + (-8) = -407/39"], "final_answer": "-407/39", "answer_type": "rational", "kind": "expression", "math_text": "95 / (-39) + (-8)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -39, \"c\": -8}", "seed": "7208115107020982761", "semantic_fingerprint": "sha256:af0daf172d5a91253660da2c34048bb011463e32c93e950f7a11e6988135c8f4", "generator_version": "3.0"}
{"id": "v3_val_00004185", "prompt": "Evaluate: 28 + (-811)", "solution_steps": ["Add: 28 + (-811) = -783"], "final_answer": "-783", "answer_type": "integer", "kind": "expression", "math_text": "28 + (-811)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -811}", "seed": "12872287954177537122", "semantic_fingerprint": "sha256:4ee40add6763ad410b60f6f89e92a0fa7ad859840fac6a457f811a48ad10191e", "generator_version": "3.0"}
{"id": "v3_val_00004186", "prompt": "Compute: 89 * (82 / (-5))", "solution_steps": ["Divide: 82 / (-5) = -82/5", "Multiply: 89 * (-82/5) = -7298/5"], "final_answer": "-7298/5", "answer_type": "rational", "kind": "expression", "math_text": "89 * (82 / (-5))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 82, \"c\": -5}", "seed": "7423946833887732817", "semantic_fingerprint": "sha256:4a7b091b7ed72c448af658386aeb5366aa1ad31b4aaf28487ce8da6b4da05dd2", "generator_version": "3.0"}
{"id": "v3_val_00004187", "prompt": "Solve for x: -4(x + 8) - 14 = 10(x + 3) + 92", "solution_steps": ["Expand: -4x - 32 - 14 = 10(x + 3) + 92", "Expand: -4x - 32 - 14 = 10x + 30 + 92", "Combine constants: -4x - 46 = 10x + 30 + 92", "Combine constants: -4x - 46 = 10x + 122", "Subtract 10x from both sides: -14x - 46 = 122", "Add 46 to both sides: -14x = 168", "Divide both sides by -14: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 8) - 14 = 10(x + 3) + 92", "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\": 14, \"d\": 10, \"e\": 3, \"g\": 92, \"x\": -12}", "seed": "10457183692678797700", "semantic_fingerprint": "sha256:7fdcd310b6a2b31356cfd63f869fd3f995139e5bb0176a347c469ca52f6f9314", "generator_version": "3.0"}
{"id": "v3_val_00004188", "prompt": "What is -2 - (-1)?", "solution_steps": ["Subtract: -2 - (-1) = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-1)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -1}", "seed": "6972644417794621034", "semantic_fingerprint": "sha256:0a5bdf0343cf81419301bda0b9bb7259ac80879a0cda467ecf582c453723d18c", "generator_version": "3.0"}
{"id": "v3_val_00004189", "prompt": "What value of x satisfies 9(x + 38) = -8x + 91?", "solution_steps": ["Expand: 9x + 342 = -8x + 91", "Add 8x to both sides: 17x + 342 = 91", "Subtract 342 from both sides: 17x = -251", "Divide both sides by 17: x = -251/17"], "final_answer": "-251/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 38) = -8x + 91", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 38, \"c\": -8, \"d\": 91}", "seed": "6243197247581924772", "semantic_fingerprint": "sha256:70f45e9014b191b19d37d9d2fa1da446f7a4871487cc033fdc0134940bf2c79b", "generator_version": "3.0"}
{"id": "v3_val_00004190", "prompt": "Evaluate: 7 + 514", "solution_steps": ["Add: 7 + 514 = 521"], "final_answer": "521", "answer_type": "integer", "kind": "expression", "math_text": "7 + 514", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 514}", "seed": "322248104032839029", "semantic_fingerprint": "sha256:d97453eef81f4d690b8ef4eb696533e9388f2bb1d87c1abbe32b5bf907d2084a", "generator_version": "3.0"}
{"id": "v3_val_00004191", "prompt": "What is (68 + 179 / 547) * 0?", "solution_steps": ["Divide: 179 / 547 = 179/547", "Add: 68 + 179/547 = 37375/547", "Multiply: (37375/547) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(68 + 179 / 547) * 0", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 179, \"c\": 547, \"d\": 0}", "seed": "5032831445867437509", "semantic_fingerprint": "sha256:ee3014280b8ac75e918c12ebba1e0605c0586b95dad2dacdb6ab4fc4a8877d0d", "generator_version": "3.0"}
{"id": "v3_val_00004192", "prompt": "What value of x satisfies -4(x + 7) = 9x?", "solution_steps": ["Expand: -4x - 28 = 9x", "Subtract 9x from both sides: -13x - 28 = 0", "Add 28 to both sides: -13x = 28", "Divide both sides by -13: x = -28/13"], "final_answer": "-28/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 7) = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 9}", "seed": "3530946683578500649", "semantic_fingerprint": "sha256:8018637426079f7ca2457929c3fd4e069f2c9aed8f8433a752e836a75c0ca346", "generator_version": "3.0"}
{"id": "v3_val_00004193", "prompt": "Calculate: 54 * (-76) / (-5 / (30 / 54))", "solution_steps": ["Multiply: 54 * (-76) = -4104", "Divide: 30 / 54 = 5/9", "Divide: -5 / (5/9) = -9", "Divide: -4104 / (-9) = 456"], "final_answer": "456", "answer_type": "integer", "kind": "expression", "math_text": "54 * (-76) / (-5 / (30 / 54))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -76, \"c\": -5, \"d\": 30, \"e\": 54}", "seed": "5410274795859511307", "semantic_fingerprint": "sha256:317a5e1bf984157df78f068910f285f35f776754b165e85b9c39851fcbed060e", "generator_version": "3.0"}
{"id": "v3_val_00004194", "prompt": "Compute: -669 * 41 + 7", "solution_steps": ["Multiply: -669 * 41 = -27429", "Add: -27429 + 7 = -27422"], "final_answer": "-27422", "answer_type": "integer", "kind": "expression", "math_text": "-669 * 41 + 7", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -669, \"b\": 41, \"c\": 7}", "seed": "4455602263389955746", "semantic_fingerprint": "sha256:a6ddc5c0672919fec63c1c1c1fe124039abd86572b44ff71db2b58cfb20202f6", "generator_version": "3.0"}
{"id": "v3_val_00004195", "prompt": "Solve the equation x = 7(x + 62) - 1 for x.", "solution_steps": ["Expand: x = 7x + 434 - 1", "Combine constants: x = 7x + 433", "Subtract 7x from both sides: -6x = 433", "Divide both sides by -6: x = -433/6"], "final_answer": "-433/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x + 62) - 1", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 62, \"c\": 1}", "seed": "4013436951306644212", "semantic_fingerprint": "sha256:0843e2c6e4b054a0cd2ebb34a79ed6bec485c1de1462c6049d98c326c01809c1", "generator_version": "3.0"}
{"id": "v3_val_00004196", "prompt": "Solve for x: 7(x + 9) = -8(x - 5) - 82", "solution_steps": ["Expand: 7x + 63 = -8(x - 5) - 82", "Expand: 7x + 63 = -8x + 40 - 82", "Combine constants: 7x + 63 = -8x - 42", "Add 8x to both sides: 15x + 63 = -42", "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": "7(x + 9) = -8(x - 5) - 82", "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\": -8, \"d\": 5, \"f\": -82, \"x\": -7}", "seed": "8221286752618728735", "semantic_fingerprint": "sha256:f4874238db98195bdce52d038564a4742d748d1445cac6331d5e7aa9c48a11ef", "generator_version": "3.0"}
{"id": "v3_val_00004197", "prompt": "Calculate: -94 / 38 - (0 - (-55) + (-90) / (-39))", "solution_steps": ["Divide: -94 / 38 = -47/19", "Subtract: 0 - (-55) = 55", "Divide: -90 / (-39) = 30/13", "Add: 55 + 30/13 = 745/13", "Subtract: -47/19 - 745/13 = -14766/247"], "final_answer": "-14766/247", "answer_type": "rational", "kind": "expression", "math_text": "-94 / 38 - (0 - (-55) + (-90) / (-39))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 38, \"c\": 0, \"d\": -55, \"e\": -90, \"f\": -39}", "seed": "14628986644204862055", "semantic_fingerprint": "sha256:59ebd59997587e6d93822864fbcaa3cfe3df25afbbb59bd0b0d47d1eb0247042", "generator_version": "3.0"}
{"id": "v3_val_00004198", "prompt": "What value of x satisfies -11x - 216 = x?", "solution_steps": ["Subtract x from both sides: -12x - 216 = 0", "Add 216 to both sides: -12x = 216", "Divide both sides by -12: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 216 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"c\": -216, \"x\": -18}", "seed": "15158973325791586726", "semantic_fingerprint": "sha256:878fcc1e099bc91a17f49c3b66aedd380ccabe1dd3a34ff4abbd4b5d2dbe7764", "generator_version": "3.0"}
{"id": "v3_val_00004199", "prompt": "Calculate: -83 + (-99) / 54", "solution_steps": ["Divide: -99 / 54 = -11/6", "Add: -83 + (-11/6) = -509/6"], "final_answer": "-509/6", "answer_type": "rational", "kind": "expression", "math_text": "-83 + (-99) / 54", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -99, \"c\": 54}", "seed": "8651417740676453641", "semantic_fingerprint": "sha256:1684eb0a6ceaefc9ee257e4638d83d6eab2f8b22504842ae5f77d76195d22dcf", "generator_version": "3.0"}
{"id": "v3_val_00004200", "prompt": "What is -56 + 88 / 60?", "solution_steps": ["Divide: 88 / 60 = 22/15", "Add: -56 + 22/15 = -818/15"], "final_answer": "-818/15", "answer_type": "rational", "kind": "expression", "math_text": "-56 + 88 / 60", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 88, \"c\": 60}", "seed": "12756894049271062006", "semantic_fingerprint": "sha256:e462f6f69f965a30dc7d1a2658801a144dc26d318b1405e8208a68b60e93e7a6", "generator_version": "3.0"}
{"id": "v3_val_00004201", "prompt": "Evaluate: 819 - (-1 + (-86))", "solution_steps": ["Add: -1 + (-86) = -87", "Subtract: 819 - (-87) = 906"], "final_answer": "906", "answer_type": "integer", "kind": "expression", "math_text": "819 - (-1 + (-86))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 819, \"b\": -1, \"c\": -86}", "seed": "17621714726473483264", "semantic_fingerprint": "sha256:3bf79877dd15494c3161550fce691cf4832c5b2ced32b4fc56e712fa58d46121", "generator_version": "3.0"}
{"id": "v3_val_00004202", "prompt": "Solve for x: 8x = x - 546", "solution_steps": ["Subtract x from both sides: 7x = -546", "Divide both sides by 7: x = -78"], "final_answer": "-78", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = x - 546", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 546}", "seed": "14107831495524310070", "semantic_fingerprint": "sha256:978ec660ca42a0bab8afd0b459c3a6fe1243627f250d9f462e9e8aae5b1d3720", "generator_version": "3.0"}
{"id": "v3_val_00004203", "prompt": "What value of x satisfies -7x + 373 = 2(x + 92) + 261?", "solution_steps": ["Expand: -7x + 373 = 2x + 184 + 261", "Combine constants: -7x + 373 = 2x + 445", "Subtract 2x from both sides: -9x + 373 = 445", "Subtract 373 from both sides: -9x = 72", "Divide both sides by -9: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x + 373 = 2(x + 92) + 261", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 373, \"c\": 2, \"d\": 92, \"f\": 261, \"x\": -8}", "seed": "9630999938373229815", "semantic_fingerprint": "sha256:a3e6430cf6f899a21feedc34ef3bc81179bae2738e84240f401a836b2339553a", "generator_version": "3.0"}
{"id": "v3_val_00004204", "prompt": "Find x: 7x - 4 = 9(x + 4) - 16", "solution_steps": ["Expand: 7x - 4 = 9x + 36 - 16", "Combine constants: 7x - 4 = 9x + 20", "Subtract 9x from both sides: -2x - 4 = 20", "Add 4 to both sides: -2x = 24", "Divide both sides by -2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 4 = 9(x + 4) - 16", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 9, \"d\": 4, \"f\": -16, \"x\": -12}", "seed": "7397259191384685346", "semantic_fingerprint": "sha256:f8c52d7e2db353bd80cd1794444790b1d8fdb90080ed4e04f7394784d29cfc59", "generator_version": "3.0"}
{"id": "v3_val_00004205", "prompt": "Compute: 121 - 3 + 3 * (-8 / (-64) + (-9))", "solution_steps": ["Subtract: 121 - 3 = 118", "Divide: -8 / (-64) = 1/8", "Add: 1/8 + (-9) = -71/8", "Multiply: 3 * (-71/8) = -213/8", "Add: 118 + (-213/8) = 731/8"], "final_answer": "731/8", "answer_type": "rational", "kind": "expression", "math_text": "121 - 3 + 3 * (-8 / (-64) + (-9))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* n (+ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 121, \"b\": 3, \"c\": 3, \"d\": -8, \"e\": -64, \"f\": -9}", "seed": "6975076600217241485", "semantic_fingerprint": "sha256:864d4f1fc6e4053fe77bd9dcb40be3c19259d5ced3fdf1407b410818ca4c1fa6", "generator_version": "3.0"}
{"id": "v3_val_00004206", "prompt": "Calculate: -514 - 18 / 9", "solution_steps": ["Divide: 18 / 9 = 2", "Subtract: -514 - 2 = -516"], "final_answer": "-516", "answer_type": "integer", "kind": "expression", "math_text": "-514 - 18 / 9", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -514, \"b\": 18, \"c\": 9}", "seed": "16751909403450624849", "semantic_fingerprint": "sha256:efd425501993ea61e103b72316c6f2760eb16581e617f366f73539ccb541b3a0", "generator_version": "3.0"}
{"id": "v3_val_00004207", "prompt": "Compute: 14 * (-9)", "solution_steps": ["Multiply: 14 * (-9) = -126"], "final_answer": "-126", "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": "18011746409800404343", "semantic_fingerprint": "sha256:e4bc31033d8492b874b025065d719bf0349327f53ea3a67ca5c95829abe9310a", "generator_version": "3.0"}
{"id": "v3_val_00004208", "prompt": "Solve the equation 9x - 9 = -11(x + 4) - 285 for x.", "solution_steps": ["Expand: 9x - 9 = -11x - 44 - 285", "Combine constants: 9x - 9 = -11x - 329", "Add 11x to both sides: 20x - 9 = -329", "Add 9 to both sides: 20x = -320", "Divide both sides by 20: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 9 = -11(x + 4) - 285", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": -11, \"d\": 4, \"f\": -285, \"x\": -16}", "seed": "4185049481967131045", "semantic_fingerprint": "sha256:a1e6902a85b58b7c843c84f7e32b6a00f045baec673d68c1802132044818becf", "generator_version": "3.0"}
{"id": "v3_val_00004209", "prompt": "Calculate: -915 + 6", "solution_steps": ["Add: -915 + 6 = -909"], "final_answer": "-909", "answer_type": "integer", "kind": "expression", "math_text": "-915 + 6", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -915, \"b\": 6}", "seed": "14612952431463831579", "semantic_fingerprint": "sha256:a759b9b7418c80eca96953ed90fbfcb9ba32f2fde8214401a491e100b713bc05", "generator_version": "3.0"}
{"id": "v3_val_00004210", "prompt": "Calculate: 8 - (-235) * (36 + 6) / 5", "solution_steps": ["Add: 36 + 6 = 42", "Multiply: -235 * 42 = -9870", "Divide: -9870 / 5 = -1974", "Subtract: 8 - (-1974) = 1982"], "final_answer": "1982", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-235) * (36 + 6) / 5", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -235, \"c\": 36, \"d\": 6, \"e\": 5}", "seed": "454194527888357063", "semantic_fingerprint": "sha256:b26e33a3aa5330113930b6af3eee5cca6656b31cb7accd3a76d3208129e8e6c4", "generator_version": "3.0"}
{"id": "v3_val_00004211", "prompt": "Calculate: -28 * 728 / 26", "solution_steps": ["Multiply: -28 * 728 = -20384", "Divide: -20384 / 26 = -784"], "final_answer": "-784", "answer_type": "integer", "kind": "expression", "math_text": "-28 * 728 / 26", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 728, \"c\": 26}", "seed": "10822587417678600835", "semantic_fingerprint": "sha256:266c5dffdc4ea65bdc9ac4cd1668d21128fc98e266529b68af2a56891f43a37e", "generator_version": "3.0"}
{"id": "v3_val_00004212", "prompt": "Compute: 33 - (-938) + (-62 - 9)", "solution_steps": ["Subtract: 33 - (-938) = 971", "Subtract: -62 - 9 = -71", "Add: 971 + (-71) = 900"], "final_answer": "900", "answer_type": "integer", "kind": "expression", "math_text": "33 - (-938) + (-62 - 9)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": -938, \"c\": -62, \"d\": 9}", "seed": "13494457317291008307", "semantic_fingerprint": "sha256:48391defce9e10bfe1994478b5d1191c157971f35098fbed6d3123de6787b6f1", "generator_version": "3.0"}
{"id": "v3_val_00004213", "prompt": "Evaluate: -52 + 4", "solution_steps": ["Add: -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": "4250758183468192508", "semantic_fingerprint": "sha256:5db4baff0c2474eba6b25c6206e9ef3f3412286f6a87006da7b4ffd0896c6c46", "generator_version": "3.0"}
{"id": "v3_val_00004214", "prompt": "What is (30 - (-405)) / 5?", "solution_steps": ["Subtract: 30 - (-405) = 435", "Divide: 435 / 5 = 87"], "final_answer": "87", "answer_type": "integer", "kind": "expression", "math_text": "(30 - (-405)) / 5", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -405, \"c\": 5}", "seed": "8871237447412786739", "semantic_fingerprint": "sha256:1cc91d85653835530cde9d45c3a55605bc09cb5d81cdc82235b4372c025eec8a", "generator_version": "3.0"}
{"id": "v3_val_00004215", "prompt": "Calculate: 579 / (-8) - 7 / (-497 + (-9))", "solution_steps": ["Divide: 579 / (-8) = -579/8", "Add: -497 + (-9) = -506", "Divide: 7 / (-506) = -7/506", "Subtract: -579/8 - (-7/506) = -146459/2024"], "final_answer": "-146459/2024", "answer_type": "rational", "kind": "expression", "math_text": "579 / (-8) - 7 / (-497 + (-9))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 579, \"b\": -8, \"c\": 7, \"d\": -497, \"e\": -9}", "seed": "3880009896445969904", "semantic_fingerprint": "sha256:b68258c7fabcec311ddf1e50193cd9bbd89c60108d3f6e8399e95dde7b715325", "generator_version": "3.0"}
{"id": "v3_val_00004216", "prompt": "Find x: -2x = x + 48", "solution_steps": ["Subtract x from both sides: -3x = 48", "Divide both sides by -3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = x + 48", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"c\": 48, \"x\": -16}", "seed": "7328053910140730232", "semantic_fingerprint": "sha256:6f8d7e6145038b3640cbf893f34b814e110f108bbd4ddce54a7cacaaa8cbcb9a", "generator_version": "3.0"}
{"id": "v3_val_00004217", "prompt": "Evaluate: -5 - (-896) / (-52) * 7 + 6", "solution_steps": ["Divide: -896 / (-52) = 224/13", "Multiply: (224/13) * 7 = 1568/13", "Subtract: -5 - 1568/13 = -1633/13", "Add: -1633/13 + 6 = -1555/13"], "final_answer": "-1555/13", "answer_type": "rational", "kind": "expression", "math_text": "-5 - (-896) / (-52) * 7 + 6", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -896, \"c\": -52, \"d\": 7, \"e\": 6}", "seed": "17565557079206829886", "semantic_fingerprint": "sha256:0e99a9bb03b5532177cba313f010d204534942fb5edd8dfef0d75b37d8f211a8", "generator_version": "3.0"}
{"id": "v3_val_00004218", "prompt": "Solve for x: x = 2(x + 7) + 81", "solution_steps": ["Expand: x = 2x + 14 + 81", "Combine constants: x = 2x + 95", "Subtract 2x from both sides: -x = 95", "Divide both sides by -1: x = -95"], "final_answer": "-95", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x + 7) + 81", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 81}", "seed": "9688069885055997207", "semantic_fingerprint": "sha256:2437a03f2ed0b2454230bee88b4f2b2611fa476de029e8ef2f2c324f08caff99", "generator_version": "3.0"}
{"id": "v3_val_00004219", "prompt": "Solve the equation x - 94 = 5x - 50 for x.", "solution_steps": ["Subtract 5x from both sides: -4x - 94 = -50", "Add 94 to both sides: -4x = 44", "Divide both sides by -4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 94 = 5x - 50", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 5, \"d\": -50, \"x\": -11}", "seed": "582273611835524141", "semantic_fingerprint": "sha256:2090007e3bb9c615cd9e15cf6fc0c4fcc8f935fe083f3ef05cca28eeb6218cad", "generator_version": "3.0"}
{"id": "v3_val_00004220", "prompt": "What is 183 * (-78) / (-59 * 9) * (8 * (-1))?", "solution_steps": ["Multiply: 183 * (-78) = -14274", "Multiply: -59 * 9 = -531", "Divide: -14274 / (-531) = 1586/59", "Multiply: 8 * (-1) = -8", "Multiply: (1586/59) * (-8) = -12688/59"], "final_answer": "-12688/59", "answer_type": "rational", "kind": "expression", "math_text": "183 * (-78) / (-59 * 9) * (8 * (-1))", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n n) (* n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 183, \"b\": -78, \"c\": -59, \"d\": 9, \"e\": 8, \"f\": -1}", "seed": "502297351701974866", "semantic_fingerprint": "sha256:d391f5f6de79a3af258d3b63a9ca245551c08e4130556552a46a032e3612c544", "generator_version": "3.0"}
{"id": "v3_val_00004221", "prompt": "Solve the equation 12(x - 7) - 62 = 5x - 279 for x.", "solution_steps": ["Expand: 12x - 84 - 62 = 5x - 279", "Combine constants: 12x - 146 = 5x - 279", "Subtract 5x from both sides: 7x - 146 = -279", "Add 146 to both sides: 7x = -133", "Divide both sides by 7: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 7) - 62 = 5x - 279", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 62, \"d\": 5, \"f\": -279, \"x\": -19}", "seed": "13227256520627075385", "semantic_fingerprint": "sha256:7ba36f8690f808281790f689745c5e7de6b2ead1855308d4a0dd41f58f41b4b3", "generator_version": "3.0"}
{"id": "v3_val_00004222", "prompt": "What is 47 + 90 / (-5) - (-4)?", "solution_steps": ["Divide: 90 / (-5) = -18", "Add: 47 + (-18) = 29", "Subtract: 29 - (-4) = 33"], "final_answer": "33", "answer_type": "integer", "kind": "expression", "math_text": "47 + 90 / (-5) - (-4)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 90, \"c\": -5, \"d\": -4}", "seed": "10746811984478744769", "semantic_fingerprint": "sha256:9113200249b80d7d4cf18a02ee04ae8190cf256324054cd3d20cd9d6dfcb4f86", "generator_version": "3.0"}
{"id": "v3_val_00004223", "prompt": "Evaluate: (21 + 95 - (-9 - (-452)) * (-31)) * (-6)", "solution_steps": ["Add: 21 + 95 = 116", "Subtract: -9 - (-452) = 443", "Multiply: 443 * (-31) = -13733", "Subtract: 116 - (-13733) = 13849", "Multiply: 13849 * (-6) = -83094"], "final_answer": "-83094", "answer_type": "integer", "kind": "expression", "math_text": "(21 + 95 - (-9 - (-452)) * (-31)) * (-6)", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 95, \"c\": -9, \"d\": -452, \"e\": -31, \"f\": -6}", "seed": "2700231995623733296", "semantic_fingerprint": "sha256:2d9b2b0eb633069c27880376d65c0cbaa0a829ade4e0a0aced317144b85a2c7c", "generator_version": "3.0"}
{"id": "v3_val_00004224", "prompt": "Calculate: -50 + (-5)", "solution_steps": ["Add: -50 + (-5) = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "expression", "math_text": "-50 + (-5)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -5}", "seed": "8335203522209097128", "semantic_fingerprint": "sha256:2dfe2aaa34110d62281846bcc32894f6552a8786384a17734f1f0142ed7283cf", "generator_version": "3.0"}
{"id": "v3_val_00004225", "prompt": "Compute: 74 / (-39)", "solution_steps": ["Divide: 74 / (-39) = -74/39"], "final_answer": "-74/39", "answer_type": "rational", "kind": "expression", "math_text": "74 / (-39)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -39}", "seed": "11684368466275550612", "semantic_fingerprint": "sha256:7bee76804136779b23c17e7dde2db9c03ce43a2765323dd455b8df9266d5c162", "generator_version": "3.0"}
{"id": "v3_val_00004226", "prompt": "Calculate: 410 / 2", "solution_steps": ["Divide: 410 / 2 = 205"], "final_answer": "205", "answer_type": "integer", "kind": "expression", "math_text": "410 / 2", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 410, \"b\": 2}", "seed": "2505937630210180842", "semantic_fingerprint": "sha256:44727db49886854efab2ac1202079b18bd52a4ddfddcd617856254425fbd1a3b", "generator_version": "3.0"}
{"id": "v3_val_00004227", "prompt": "Solve the equation 9(x - 54) = -10(x + 18) for x.", "solution_steps": ["Expand: 9x - 486 = -10(x + 18)", "Expand: 9x - 486 = -10x - 180", "Add 10x to both sides: 19x - 486 = -180", "Add 486 to both sides: 19x = 306", "Divide both sides by 19: x = 306/19"], "final_answer": "306/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 54) = -10(x + 18)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 54, \"c\": -10, \"d\": 18}", "seed": "15522572149703675068", "semantic_fingerprint": "sha256:d38c27de70c035abb0ba87fff44623e4f1dd3cb1995eefa2de9d9408af1f2d6e", "generator_version": "3.0"}
{"id": "v3_val_00004228", "prompt": "Find x: x - 91 = 3(x + 655) + 5", "solution_steps": ["Expand: x - 91 = 3x + 1965 + 5", "Combine constants: x - 91 = 3x + 1970", "Subtract 3x from both sides: -2x - 91 = 1970", "Add 91 to both sides: -2x = 2061", "Divide both sides by -2: x = -2061/2"], "final_answer": "-2061/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 91 = 3(x + 655) + 5", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 3, \"c\": 655, \"d\": 5}", "seed": "11556171098276492574", "semantic_fingerprint": "sha256:12c4e55f6407b2a5825bc60685481ff93f410e3336d1adf958cad7c3ea7a11d0", "generator_version": "3.0"}
{"id": "v3_val_00004229", "prompt": "Solve the equation -2(x + 468) + 39 = x - 15 for x.", "solution_steps": ["Expand: -2x - 936 + 39 = x - 15", "Combine constants: -2x - 897 = x - 15", "Subtract x from both sides: -3x - 897 = -15", "Add 897 to both sides: -3x = 882", "Divide both sides by -3: x = -294"], "final_answer": "-294", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 468) + 39 = x - 15", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 468, \"c\": 39, \"d\": 15}", "seed": "10339336914343884080", "semantic_fingerprint": "sha256:73d16fdccab4bf292dec05e491c6c3b919f7dbc1006de4fc831686d4f6420e83", "generator_version": "3.0"}
{"id": "v3_val_00004230", "prompt": "Solve for x: 5(x - 153) + 769 = x", "solution_steps": ["Expand: 5x - 765 + 769 = x", "Combine constants: 5x + 4 = x", "Subtract x from both sides: 4x + 4 = 0", "Subtract 4 from both sides: 4x = -4", "Divide both sides by 4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 153) + 769 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 153, \"d\": 769, \"x\": -1}", "seed": "5351734899015816213", "semantic_fingerprint": "sha256:ea25cb5f3c54105a8ab11a802932901b9813b7f24ac01a5199d5b56bae6d89d1", "generator_version": "3.0"}
{"id": "v3_val_00004231", "prompt": "Solve the equation -7x + 56 = x for x.", "solution_steps": ["Subtract x from both sides: -8x + 56 = 0", "Subtract 56 from both sides: -8x = -56", "Divide both sides by -8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x + 56 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"c\": 56, \"x\": 7}", "seed": "16594067993205590124", "semantic_fingerprint": "sha256:004ab70fe93cc305cb6f4cf6fcdd8e902599ec520b72c472a1ec96aa363ddd8f", "generator_version": "3.0"}
{"id": "v3_val_00004232", "prompt": "Find x: 8(x + 1) + 320 = -7(x - 58) + 17", "solution_steps": ["Expand: 8x + 8 + 320 = -7(x - 58) + 17", "Expand: 8x + 8 + 320 = -7x + 406 + 17", "Combine constants: 8x + 328 = -7x + 406 + 17", "Combine constants: 8x + 328 = -7x + 423", "Add 7x to both sides: 15x + 328 = 423", "Subtract 328 from both sides: 15x = 95", "Divide both sides by 15: x = 19/3"], "final_answer": "19/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 1) + 320 = -7(x - 58) + 17", "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\": 320, \"d\": -7, \"e\": 58, \"f\": 17}", "seed": "9264128636937874023", "semantic_fingerprint": "sha256:f88f0f6523f57b1fa73a797d8a36352b96a1810953225762ce2c2f3fda606ed1", "generator_version": "3.0"}
{"id": "v3_val_00004233", "prompt": "Calculate: -175 / 74 * (6 * 9)", "solution_steps": ["Divide: -175 / 74 = -175/74", "Multiply: 6 * 9 = 54", "Multiply: (-175/74) * 54 = -4725/37"], "final_answer": "-4725/37", "answer_type": "rational", "kind": "expression", "math_text": "-175 / 74 * (6 * 9)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -175, \"b\": 74, \"c\": 6, \"d\": 9}", "seed": "4105830678086342482", "semantic_fingerprint": "sha256:626e2bf83447fc5d6f2f1384ee214838d6d902add9e7bee2a429fd2315f7ca3a", "generator_version": "3.0"}
{"id": "v3_val_00004234", "prompt": "Calculate: -807 + (-18)", "solution_steps": ["Add: -807 + (-18) = -825"], "final_answer": "-825", "answer_type": "integer", "kind": "expression", "math_text": "-807 + (-18)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -807, \"b\": -18}", "seed": "12717547914141253250", "semantic_fingerprint": "sha256:71b04f6e3e884e3bbc2e68a962791e9706e87fa76deee54372d967efd3e57135", "generator_version": "3.0"}
{"id": "v3_val_00004235", "prompt": "What value of x satisfies 11x = x + 20?", "solution_steps": ["Subtract x from both sides: 10x = 20", "Divide both sides by 10: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = x + 20", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 20, \"x\": 2}", "seed": "6639228631049214025", "semantic_fingerprint": "sha256:e5e4543600d6325919a0eaeb08c788479aec006d2910a28414d4f93942563cf0", "generator_version": "3.0"}
{"id": "v3_val_00004236", "prompt": "Compute: (-73 - (-85 - (-81))) * (-746 / (65 + (-95)))", "solution_steps": ["Subtract: -85 - (-81) = -4", "Subtract: -73 - (-4) = -69", "Add: 65 + (-95) = -30", "Divide: -746 / (-30) = 373/15", "Multiply: -69 * (373/15) = -8579/5"], "final_answer": "-8579/5", "answer_type": "rational", "kind": "expression", "math_text": "(-73 - (-85 - (-81))) * (-746 / (65 + (-95)))", "variable": null, "family": "expression_5op", "shape": "(* (- n (- n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -85, \"c\": -81, \"d\": -746, \"e\": 65, \"f\": -95}", "seed": "3150723927817841160", "semantic_fingerprint": "sha256:f136917887da4f12b0f54c370574a656fc66b275ac8ee39f76f63146ce46e3b8", "generator_version": "3.0"}
{"id": "v3_val_00004237", "prompt": "What value of x satisfies x + 695 = 11(x + 43) + 142?", "solution_steps": ["Expand: x + 695 = 11x + 473 + 142", "Combine constants: x + 695 = 11x + 615", "Subtract 11x from both sides: -10x + 695 = 615", "Subtract 695 from both sides: -10x = -80", "Divide both sides by -10: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 695 = 11(x + 43) + 142", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 695, \"b\": 11, \"c\": 43, \"e\": 142, \"x\": 8}", "seed": "7230384317750050261", "semantic_fingerprint": "sha256:bf46024072c611d8c75d87ac1294ae5ce28c6849fb93f26c7008b61f706eb35e", "generator_version": "3.0"}
{"id": "v3_val_00004238", "prompt": "What is -2 * (-452 + (-27))?", "solution_steps": ["Add: -452 + (-27) = -479", "Multiply: -2 * (-479) = 958"], "final_answer": "958", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-452 + (-27))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -452, \"c\": -27}", "seed": "1548141852082017036", "semantic_fingerprint": "sha256:c17cfee996f1436e25e2e64efe6796e5f9100f4eda3b70bb1a60abbca83c3e26", "generator_version": "3.0"}
{"id": "v3_val_00004239", "prompt": "Evaluate: -9 * 27 / (-8 * (-906))", "solution_steps": ["Multiply: -9 * 27 = -243", "Multiply: -8 * (-906) = 7248", "Divide: -243 / 7248 = -81/2416"], "final_answer": "-81/2416", "answer_type": "rational", "kind": "expression", "math_text": "-9 * 27 / (-8 * (-906))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 27, \"c\": -8, \"d\": -906}", "seed": "15864270320427503021", "semantic_fingerprint": "sha256:dd98c8c694838a7a801f70eb7395b0555dfab737ff5c0f50919ced43f18532ce", "generator_version": "3.0"}
{"id": "v3_val_00004240", "prompt": "Calculate: 54 * (0 + 4)", "solution_steps": ["Add: 0 + 4 = 4", "Multiply: 54 * 4 = 216"], "final_answer": "216", "answer_type": "integer", "kind": "expression", "math_text": "54 * (0 + 4)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 0, \"c\": 4}", "seed": "18247111628383674001", "semantic_fingerprint": "sha256:c602594d558c7491efc8c1921059385d9d4115b9c30ca1b69fb60f91a9a03148", "generator_version": "3.0"}
{"id": "v3_val_00004241", "prompt": "Calculate: 90 * (81 * (-4))", "solution_steps": ["Multiply: 81 * (-4) = -324", "Multiply: 90 * (-324) = -29160"], "final_answer": "-29160", "answer_type": "integer", "kind": "expression", "math_text": "90 * (81 * (-4))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 81, \"c\": -4}", "seed": "5902138263857573792", "semantic_fingerprint": "sha256:a58073ec3fe0e99299d170068da3bea39760ba2c963e4ac0fb66ed5ffc0be726", "generator_version": "3.0"}
{"id": "v3_val_00004242", "prompt": "What is -7 * (20 - (-952))?", "solution_steps": ["Subtract: 20 - (-952) = 972", "Multiply: -7 * 972 = -6804"], "final_answer": "-6804", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (20 - (-952))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 20, \"c\": -952}", "seed": "10588587380745803546", "semantic_fingerprint": "sha256:626c99374748d8ed8af9055f69cd289a8c807c17882717a232bb87703a780542", "generator_version": "3.0"}
{"id": "v3_val_00004243", "prompt": "What is -968 * (5 + (-960))?", "solution_steps": ["Add: 5 + (-960) = -955", "Multiply: -968 * (-955) = 924440"], "final_answer": "924440", "answer_type": "integer", "kind": "expression", "math_text": "-968 * (5 + (-960))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -968, \"b\": 5, \"c\": -960}", "seed": "12638568702563413537", "semantic_fingerprint": "sha256:65e7941d7c01a088b1a1cb2dce60e03152798ba83e617ce97f7f878ed34c4da9", "generator_version": "3.0"}
{"id": "v3_val_00004244", "prompt": "Solve the equation 7(x + 82) - 646 = x for x.", "solution_steps": ["Expand: 7x + 574 - 646 = x", "Combine constants: 7x - 72 = x", "Subtract x from both sides: 6x - 72 = 0", "Add 72 to both sides: 6x = 72", "Divide both sides by 6: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 82) - 646 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 82, \"d\": -646, \"x\": 12}", "seed": "15709907098517727801", "semantic_fingerprint": "sha256:1e4ac077ee4359c6057a457eb41463055c62c331f14a7630cd56d5bca4a13bad", "generator_version": "3.0"}
{"id": "v3_val_00004245", "prompt": "Calculate: -164 * 2", "solution_steps": ["Multiply: -164 * 2 = -328"], "final_answer": "-328", "answer_type": "integer", "kind": "expression", "math_text": "-164 * 2", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -164, \"b\": 2}", "seed": "11743393516069352722", "semantic_fingerprint": "sha256:07d3637015d7a263537e0b7aede8ba6f8dc732ef9daec986fcb6ad346c2a9b34", "generator_version": "3.0"}
{"id": "v3_val_00004246", "prompt": "Compute: 330 / 889", "solution_steps": ["Divide: 330 / 889 = 330/889"], "final_answer": "330/889", "answer_type": "rational", "kind": "expression", "math_text": "330 / 889", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 330, \"b\": 889}", "seed": "7242273895870650608", "semantic_fingerprint": "sha256:7c77939b5ef2e763c15282af74a7f43386cfbfea2fe448a6c44431b1fd1b656d", "generator_version": "3.0"}
{"id": "v3_val_00004247", "prompt": "Compute: 70 * (-83 * 0)", "solution_steps": ["Multiply: -83 * 0 = 0", "Multiply: 70 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "70 * (-83 * 0)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -83, \"c\": 0}", "seed": "15300981741430472299", "semantic_fingerprint": "sha256:6de39b169903bb6d33d8216255304aa769a38d0a66d87bb71b4828f0850a11fd", "generator_version": "3.0"}
{"id": "v3_val_00004248", "prompt": "Find x: 2x + 2 = 9x + 827", "solution_steps": ["Subtract 9x from both sides: -7x + 2 = 827", "Subtract 2 from both sides: -7x = 825", "Divide both sides by -7: x = -825/7"], "final_answer": "-825/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x + 2 = 9x + 827", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 9, \"d\": 827}", "seed": "1955747746633275286", "semantic_fingerprint": "sha256:57bb36e883db3d46c5d05b15aeb6dfcdb004b74ab97b7ced50f5771b42c4479f", "generator_version": "3.0"}
{"id": "v3_val_00004249", "prompt": "Calculate: 356 / 488 + (-10 + 9 - 1 * (-1))", "solution_steps": ["Divide: 356 / 488 = 89/122", "Add: -10 + 9 = -1", "Multiply: 1 * (-1) = -1", "Subtract: -1 - (-1) = 0", "Add: 89/122 + 0 = 89/122"], "final_answer": "89/122", "answer_type": "rational", "kind": "expression", "math_text": "356 / 488 + (-10 + 9 - 1 * (-1))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- (+ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 356, \"b\": 488, \"c\": -10, \"d\": 9, \"e\": 1, \"f\": -1}", "seed": "4271717039223594291", "semantic_fingerprint": "sha256:dec60e0e387d268c9c176953dc1cda8a698ae7e33a113532efe1a82a82fd79ec", "generator_version": "3.0"}
{"id": "v3_val_00004250", "prompt": "Evaluate: 7 * (-5)", "solution_steps": ["Multiply: 7 * (-5) = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-5)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -5}", "seed": "8326988328137056908", "semantic_fingerprint": "sha256:3d7ac834bd125cf9906710381ce8fb30bb18cf17c1dfbca79f37684d084ae7c3", "generator_version": "3.0"}
{"id": "v3_val_00004251", "prompt": "Solve the equation 5x = 0 for x.", "solution_steps": ["Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 0", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": 0, \"x\": 0}", "seed": "7288219176218139275", "semantic_fingerprint": "sha256:53e267d88d2a572f0ae1faed6cd5da9efe60b028858e81f194824cb3dbddeaef", "generator_version": "3.0"}
{"id": "v3_val_00004252", "prompt": "Calculate: (-38 + 6) / (759 - 9) * (-3)", "solution_steps": ["Add: -38 + 6 = -32", "Subtract: 759 - 9 = 750", "Divide: -32 / 750 = -16/375", "Multiply: (-16/375) * (-3) = 16/125"], "final_answer": "16/125", "answer_type": "rational", "kind": "expression", "math_text": "(-38 + 6) / (759 - 9) * (-3)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 6, \"c\": 759, \"d\": 9, \"e\": -3}", "seed": "5972888686840840458", "semantic_fingerprint": "sha256:c6bc78fa67f99259dd913d393e24854d7d8b0b719f6e6ff6f59508e062b6c243", "generator_version": "3.0"}
{"id": "v3_val_00004253", "prompt": "Evaluate: -26 - (-21) * 73", "solution_steps": ["Multiply: -21 * 73 = -1533", "Subtract: -26 - (-1533) = 1507"], "final_answer": "1507", "answer_type": "integer", "kind": "expression", "math_text": "-26 - (-21) * 73", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -21, \"c\": 73}", "seed": "5752869887710212814", "semantic_fingerprint": "sha256:51137925405adae2cd75041eaf4792a936c5083ec8e2caa8ca46e0e3dd734d47", "generator_version": "3.0"}
{"id": "v3_val_00004254", "prompt": "Evaluate: -43 + (-3) - 41", "solution_steps": ["Add: -43 + (-3) = -46", "Subtract: -46 - 41 = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "expression", "math_text": "-43 + (-3) - 41", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -3, \"c\": 41}", "seed": "13782348740376101403", "semantic_fingerprint": "sha256:dae98a9da412fc20ab55b4d3e4916a79bfdacfc2b7f88b1742738710d1c0e0fd", "generator_version": "3.0"}
{"id": "v3_val_00004255", "prompt": "Evaluate: -65 + (-835)", "solution_steps": ["Add: -65 + (-835) = -900"], "final_answer": "-900", "answer_type": "integer", "kind": "expression", "math_text": "-65 + (-835)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -835}", "seed": "11251324256953328708", "semantic_fingerprint": "sha256:263f13dc5f3e7cc1c4c8dc7af38a94168de288a71126e2ae7de0432ec2af35c3", "generator_version": "3.0"}
{"id": "v3_val_00004256", "prompt": "Solve the equation -9x = -5(x - 95) - 411 for x.", "solution_steps": ["Expand: -9x = -5x + 475 - 411", "Combine constants: -9x = -5x + 64", "Add 5x to both sides: -4x = 64", "Divide both sides by -4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = -5(x - 95) - 411", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -5, \"c\": 95, \"e\": -411, \"x\": -16}", "seed": "1176360809095148239", "semantic_fingerprint": "sha256:19cc2aa1e78336a9176155015e49f22cd027aa082b7942b5e10dddf01f767af0", "generator_version": "3.0"}
{"id": "v3_val_00004257", "prompt": "Calculate: (-75 + 87) * 867", "solution_steps": ["Add: -75 + 87 = 12", "Multiply: 12 * 867 = 10404"], "final_answer": "10404", "answer_type": "integer", "kind": "expression", "math_text": "(-75 + 87) * 867", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 87, \"c\": 867}", "seed": "12466015616844195296", "semantic_fingerprint": "sha256:8d691fa1c6ca7e4f1e0fb5940062bdeaec0bd5bc964e68e5f10a708b2f5a5e79", "generator_version": "3.0"}
{"id": "v3_val_00004258", "prompt": "Find x: x + 5 = 4(x + 2)", "solution_steps": ["Expand: x + 5 = 4x + 8", "Subtract 4x from both sides: -3x + 5 = 8", "Subtract 5 from both sides: -3x = 3", "Divide both sides by -3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5 = 4(x + 2)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"d\": 5, \"x\": -1}", "seed": "2694510617726801562", "semantic_fingerprint": "sha256:f11de4677f2d4483bb60aff6c00e8eb7e73b7f60dc4cce4c4e1c825e37cbc1eb", "generator_version": "3.0"}
{"id": "v3_val_00004259", "prompt": "Solve the equation 10(x - 1) = 11(x - 51) + 561 for x.", "solution_steps": ["Expand: 10x - 10 = 11(x - 51) + 561", "Expand: 10x - 10 = 11x - 561 + 561", "Combine constants: 10x - 10 = 11x", "Subtract 11x from both sides: -x - 10 = 0", "Add 10 to both sides: -x = 10", "Divide both sides by -1: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 1) = 11(x - 51) + 561", "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\": 11, \"d\": 51, \"f\": 561, \"x\": -10}", "seed": "12624024830887052343", "semantic_fingerprint": "sha256:da44b42684129c7e5314cfb2505ecdbfe860dc5384d58cc47ea76284c454b469", "generator_version": "3.0"}
{"id": "v3_val_00004260", "prompt": "What is 1 * (-781)?", "solution_steps": ["Multiply: 1 * (-781) = -781"], "final_answer": "-781", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-781)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -781}", "seed": "1405237270058950562", "semantic_fingerprint": "sha256:e27dcb3095328d9e4582bf28b9dd335d03832845c43c44b4c884131932e36606", "generator_version": "3.0"}
{"id": "v3_val_00004261", "prompt": "What value of x satisfies -11(x + 6) - 5 = 6(x - 7) - 29?", "solution_steps": ["Expand: -11x - 66 - 5 = 6(x - 7) - 29", "Expand: -11x - 66 - 5 = 6x - 42 - 29", "Combine constants: -11x - 71 = 6x - 42 - 29", "Combine constants: -11x - 71 = 6x - 71", "Subtract 6x from both sides: -17x - 71 = -71", "Add 71 to both sides: -17x = 0", "Divide both sides by -17: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 6) - 5 = 6(x - 7) - 29", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 5, \"d\": 6, \"e\": 7, \"g\": -29, \"x\": 0}", "seed": "16593280697171992163", "semantic_fingerprint": "sha256:1021c68a7c7d10dab84730b81f1379afeb1ac70cdbb568011140fe085245276a", "generator_version": "3.0"}
{"id": "v3_val_00004262", "prompt": "Evaluate: -7 + 49 * 8", "solution_steps": ["Multiply: 49 * 8 = 392", "Add: -7 + 392 = 385"], "final_answer": "385", "answer_type": "integer", "kind": "expression", "math_text": "-7 + 49 * 8", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 49, \"c\": 8}", "seed": "3926183724485612171", "semantic_fingerprint": "sha256:36f3e9238603e24f6b41fe52f80953c4bf8e7d8c6892decd09628bac0069d85e", "generator_version": "3.0"}
{"id": "v3_val_00004263", "prompt": "Solve for x: x + 13 = 5(x - 39) + 176", "solution_steps": ["Expand: x + 13 = 5x - 195 + 176", "Combine constants: x + 13 = 5x - 19", "Subtract 5x from both sides: -4x + 13 = -19", "Subtract 13 from both sides: -4x = -32", "Divide both sides by -4: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 13 = 5(x - 39) + 176", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 5, \"c\": 39, \"e\": 176, \"x\": 8}", "seed": "18115498171333004044", "semantic_fingerprint": "sha256:fa3d8cf7c24136a5f61852c4e21562c4ee84546ee81c27a8551dc84f71588a14", "generator_version": "3.0"}
{"id": "v3_val_00004264", "prompt": "Solve for x: 3(x + 62) = 5(x - 6)", "solution_steps": ["Expand: 3x + 186 = 5(x - 6)", "Expand: 3x + 186 = 5x - 30", "Subtract 5x from both sides: -2x + 186 = -30", "Subtract 186 from both sides: -2x = -216", "Divide both sides by -2: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 62) = 5(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 62, \"c\": 5, \"d\": 6}", "seed": "5426854399272396743", "semantic_fingerprint": "sha256:c90457bbead59ec9d02453f6c15a117b8fd7a7fe359362b8830b9de93e3afd6d", "generator_version": "3.0"}
{"id": "v3_val_00004265", "prompt": "Evaluate: 53 - (-7)", "solution_steps": ["Subtract: 53 - (-7) = 60"], "final_answer": "60", "answer_type": "integer", "kind": "expression", "math_text": "53 - (-7)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -7}", "seed": "11943817518904211495", "semantic_fingerprint": "sha256:1bcebdc3798a3981d8bf5d21a2a96e38815cca5047dcbf4356087d25a35e3231", "generator_version": "3.0"}
{"id": "v3_val_00004266", "prompt": "Evaluate: 3 / (-751 + (-6 - (-1)))", "solution_steps": ["Subtract: -6 - (-1) = -5", "Add: -751 + (-5) = -756", "Divide: 3 / (-756) = -1/252"], "final_answer": "-1/252", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-751 + (-6 - (-1)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -751, \"c\": -6, \"d\": -1}", "seed": "11762176004218735792", "semantic_fingerprint": "sha256:22f00a90dbc5046922126aef9ad9c376d944889e9a3c1594a6f3abef5d0bf8e2", "generator_version": "3.0"}
{"id": "v3_val_00004267", "prompt": "Calculate: 82 * ((-7 - (15 - (-29 - (-60)))) * (-32))", "solution_steps": ["Subtract: -29 - (-60) = 31", "Subtract: 15 - 31 = -16", "Subtract: -7 - (-16) = 9", "Multiply: 9 * (-32) = -288", "Multiply: 82 * (-288) = -23616"], "final_answer": "-23616", "answer_type": "integer", "kind": "expression", "math_text": "82 * ((-7 - (15 - (-29 - (-60)))) * (-32))", "variable": null, "family": "expression_5op", "shape": "(* n (* (- n (- n (- n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -7, \"c\": 15, \"d\": -29, \"e\": -60, \"f\": -32}", "seed": "16269121440992387057", "semantic_fingerprint": "sha256:d87c9bea05150b91035f79a05b566656f39b897e8a5b1b6139dd816a87b475d2", "generator_version": "3.0"}
{"id": "v3_val_00004268", "prompt": "Solve for x: 7x + 15 = 5(x - 5)", "solution_steps": ["Expand: 7x + 15 = 5x - 25", "Subtract 5x from both sides: 2x + 15 = -25", "Subtract 15 from both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 15 = 5(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 5, \"e\": 15, \"x\": -20}", "seed": "1243991792538900840", "semantic_fingerprint": "sha256:ad1f49900975d63b8587c6cff136a886c49a6edc1a847301650d1e246888c218", "generator_version": "3.0"}
{"id": "v3_val_00004269", "prompt": "Calculate: (-322 / 87 - (-2)) / (-67 / (-2) / (-98))", "solution_steps": ["Divide: -322 / 87 = -322/87", "Subtract: -322/87 - (-2) = -148/87", "Divide: -67 / (-2) = 67/2", "Divide: (67/2) / (-98) = -67/196", "Divide: (-148/87) / (-67/196) = 29008/5829"], "final_answer": "29008/5829", "answer_type": "rational", "kind": "expression", "math_text": "(-322 / 87 - (-2)) / (-67 / (-2) / (-98))", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n n) n) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -322, \"b\": 87, \"c\": -2, \"d\": -67, \"e\": -2, \"f\": -98}", "seed": "11387886373442124273", "semantic_fingerprint": "sha256:84c426d0b53225feb6e30629b0a804f4d8dc8f56bfabb3d30eb2cd37e3efa337", "generator_version": "3.0"}
{"id": "v3_val_00004270", "prompt": "Find x: 4(x - 119) + 32 = x - 429", "solution_steps": ["Expand: 4x - 476 + 32 = x - 429", "Combine constants: 4x - 444 = x - 429", "Subtract x from both sides: 3x - 444 = -429", "Add 444 to both sides: 3x = 15", "Divide both sides by 3: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 119) + 32 = x - 429", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 119, \"c\": 32, \"e\": -429, \"x\": 5}", "seed": "18292722527892415985", "semantic_fingerprint": "sha256:3e44615916cf2243450c19c19cda59ca7edccbe8f1d5ba1a644aa5f18a3ce610", "generator_version": "3.0"}
{"id": "v3_val_00004271", "prompt": "Calculate: -6 / (-860) + 65", "solution_steps": ["Divide: -6 / (-860) = 3/430", "Add: 3/430 + 65 = 27953/430"], "final_answer": "27953/430", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-860) + 65", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -860, \"c\": 65}", "seed": "12313910780103762107", "semantic_fingerprint": "sha256:6e3f620be4fb8b6e37b1e9e48e97f3a48f9394c28cb4db87fa4431c31aaf38dc", "generator_version": "3.0"}
{"id": "v3_val_00004272", "prompt": "Compute: -22 * 3 * (5 - 684) / (-44 + 568)", "solution_steps": ["Multiply: -22 * 3 = -66", "Subtract: 5 - 684 = -679", "Multiply: -66 * (-679) = 44814", "Add: -44 + 568 = 524", "Divide: 44814 / 524 = 22407/262"], "final_answer": "22407/262", "answer_type": "rational", "kind": "expression", "math_text": "-22 * 3 * (5 - 684) / (-44 + 568)", "variable": null, "family": "expression_5op", "shape": "(/ (* (* n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 3, \"c\": 5, \"d\": 684, \"e\": -44, \"f\": 568}", "seed": "9200854965003247725", "semantic_fingerprint": "sha256:4290422e8f01ca11f607eafac570cced82876870fbbdba7b4988e787bbd99024", "generator_version": "3.0"}
{"id": "v3_val_00004273", "prompt": "What value of x satisfies 12(x + 71) = -7x + 586?", "solution_steps": ["Expand: 12x + 852 = -7x + 586", "Add 7x to both sides: 19x + 852 = 586", "Subtract 852 from both sides: 19x = -266", "Divide both sides by 19: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 71) = -7x + 586", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 71, \"c\": -7, \"e\": 586, \"x\": -14}", "seed": "3726725695467785802", "semantic_fingerprint": "sha256:6e1e4612984cce8d173df32a0fab985ef877a04258eebb57735d83685882f0b0", "generator_version": "3.0"}
{"id": "v3_val_00004274", "prompt": "What value of x satisfies x = -2(x + 8) - 9?", "solution_steps": ["Expand: x = -2x - 16 - 9", "Combine constants: x = -2x - 25", "Add 2x to both sides: 3x = -25", "Divide both sides by 3: x = -25/3"], "final_answer": "-25/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -2(x + 8) - 9", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 9}", "seed": "4228498632785056633", "semantic_fingerprint": "sha256:a819e90e45c3a9d58b8376b13b1e0d3626808ce2966b86de40ff70725337ac27", "generator_version": "3.0"}
{"id": "v3_val_00004275", "prompt": "Find x: 5(x + 1) = -85", "solution_steps": ["Expand: 5x + 5 = -85", "Subtract 5 from both sides: 5x = -90", "Divide both sides by 5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 1) = -85", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"d\": -85, \"x\": -18}", "seed": "13068951299209456560", "semantic_fingerprint": "sha256:c4594d6847282a333a26bbc6fd3aaee2d4f64f23ee11a47e3dd16ade82ba08e0", "generator_version": "3.0"}
{"id": "v3_val_00004276", "prompt": "Compute: 93 + (-12)", "solution_steps": ["Add: 93 + (-12) = 81"], "final_answer": "81", "answer_type": "integer", "kind": "expression", "math_text": "93 + (-12)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -12}", "seed": "5006810273566581733", "semantic_fingerprint": "sha256:7351996b1b09a600834ca76d736e40c9623855eec68292986a5a56f2244b2623", "generator_version": "3.0"}
{"id": "v3_val_00004277", "prompt": "Solve the equation x - 20 = -3(x + 48) + 441 for x.", "solution_steps": ["Expand: x - 20 = -3x - 144 + 441", "Combine constants: x - 20 = -3x + 297", "Add 3x to both sides: 4x - 20 = 297", "Add 20 to both sides: 4x = 317", "Divide both sides by 4: x = 317/4"], "final_answer": "317/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 20 = -3(x + 48) + 441", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": -3, \"c\": 48, \"d\": 441}", "seed": "8187693585443781883", "semantic_fingerprint": "sha256:b9f25715ec71e7ab6799120d9c92dd6182862c3f863ecbbf48327dd0d623f601", "generator_version": "3.0"}
{"id": "v3_val_00004278", "prompt": "What is (-62 - (-730)) / (35 + (-76 + (-12)) + (-883))?", "solution_steps": ["Subtract: -62 - (-730) = 668", "Add: -76 + (-12) = -88", "Add: 35 + (-88) = -53", "Add: -53 + (-883) = -936", "Divide: 668 / (-936) = -167/234"], "final_answer": "-167/234", "answer_type": "rational", "kind": "expression", "math_text": "(-62 - (-730)) / (35 + (-76 + (-12)) + (-883))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (+ (+ n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -730, \"c\": 35, \"d\": -76, \"e\": -12, \"f\": -883}", "seed": "8407593018089036246", "semantic_fingerprint": "sha256:870697dae521481e568d19d33cd183e9746619a7940cea94cabff7c6b0d7a51a", "generator_version": "3.0"}
{"id": "v3_val_00004279", "prompt": "Compute: -233 / (-92)", "solution_steps": ["Divide: -233 / (-92) = 233/92"], "final_answer": "233/92", "answer_type": "rational", "kind": "expression", "math_text": "-233 / (-92)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -233, \"b\": -92}", "seed": "16592787374824604864", "semantic_fingerprint": "sha256:fb4cd61163ccc5a7b4709a553d22e3374e34908c0ff306f33fd481f1f7ed2699", "generator_version": "3.0"}
{"id": "v3_val_00004280", "prompt": "Solve the equation -4(x + 19) + 282 = 12(x + 7) for x.", "solution_steps": ["Expand: -4x - 76 + 282 = 12(x + 7)", "Expand: -4x - 76 + 282 = 12x + 84", "Combine constants: -4x + 206 = 12x + 84", "Subtract 12x from both sides: -16x + 206 = 84", "Subtract 206 from both sides: -16x = -122", "Divide both sides by -16: x = 61/8"], "final_answer": "61/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 19) + 282 = 12(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\": 19, \"c\": 282, \"d\": 12, \"e\": 7}", "seed": "9281964933410007263", "semantic_fingerprint": "sha256:9a5fa287b97b76c3023fad76e0b16f35bb0c17528274125c6ba3b96685f893f6", "generator_version": "3.0"}
{"id": "v3_val_00004281", "prompt": "Compute: -6 - (-84)", "solution_steps": ["Subtract: -6 - (-84) = 78"], "final_answer": "78", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-84)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -84}", "seed": "2960564062945648305", "semantic_fingerprint": "sha256:0c4ec2aaffe02ce2d15a9dfb367f67812cc9c8324095ce6843c7b32c555b8188", "generator_version": "3.0"}
{"id": "v3_val_00004282", "prompt": "Calculate: -3 / (-96)", "solution_steps": ["Divide: -3 / (-96) = 1/32"], "final_answer": "1/32", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-96)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -96}", "seed": "3239673497327827106", "semantic_fingerprint": "sha256:5f2f584070a3625071c19d834a02496e981cecd9133f7aec1ae2eb3a4f423806", "generator_version": "3.0"}
{"id": "v3_val_00004283", "prompt": "Solve the equation x + 17 = 10(x + 8) for x.", "solution_steps": ["Expand: x + 17 = 10x + 80", "Subtract 10x from both sides: -9x + 17 = 80", "Subtract 17 from both sides: -9x = 63", "Divide both sides by -9: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 17 = 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\": 17, \"x\": -7}", "seed": "2912194232033716877", "semantic_fingerprint": "sha256:fccfe915240974c2dc35aa22faeb73b8ae1d61310e82353997f64659ab09f07b", "generator_version": "3.0"}
{"id": "v3_val_00004284", "prompt": "Evaluate: 4 - 0 - (-1 + (-34))", "solution_steps": ["Subtract: 4 - 0 = 4", "Add: -1 + (-34) = -35", "Subtract: 4 - (-35) = 39"], "final_answer": "39", "answer_type": "integer", "kind": "expression", "math_text": "4 - 0 - (-1 + (-34))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 0, \"c\": -1, \"d\": -34}", "seed": "15176600138607309495", "semantic_fingerprint": "sha256:4189197db6c12799e832c8f57b3deea85268da17f931ee5b1e78414895f2be7e", "generator_version": "3.0"}
{"id": "v3_val_00004285", "prompt": "Evaluate: 9 / (-743)", "solution_steps": ["Divide: 9 / (-743) = -9/743"], "final_answer": "-9/743", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-743)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -743}", "seed": "8415720300158111198", "semantic_fingerprint": "sha256:d3ff9b6cd0ea6341fbe106b789227eb88dfdbd11ca6b2c61f428f05384afe67e", "generator_version": "3.0"}
{"id": "v3_val_00004286", "prompt": "Evaluate: 88 * (-4) * (-834) - (-43)", "solution_steps": ["Multiply: 88 * (-4) = -352", "Multiply: -352 * (-834) = 293568", "Subtract: 293568 - (-43) = 293611"], "final_answer": "293611", "answer_type": "integer", "kind": "expression", "math_text": "88 * (-4) * (-834) - (-43)", "variable": null, "family": "expression_3op", "shape": "(- (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -4, \"c\": -834, \"d\": -43}", "seed": "4756983413126444196", "semantic_fingerprint": "sha256:cae1f4a1ceec9aac2716a06e3135227721521cc5803e325e0db17e51f20fc570", "generator_version": "3.0"}
{"id": "v3_val_00004287", "prompt": "Solve the equation -6x - 2 = 11(x + 17) - 512 for x.", "solution_steps": ["Expand: -6x - 2 = 11x + 187 - 512", "Combine constants: -6x - 2 = 11x - 325", "Subtract 11x from both sides: -17x - 2 = -325", "Add 2 to both sides: -17x = -323", "Divide both sides by -17: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 2 = 11(x + 17) - 512", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": 11, \"d\": 17, \"f\": -512, \"x\": 19}", "seed": "14278766374364975707", "semantic_fingerprint": "sha256:8f91e0da50ec4a3bdaa08a88609032073a4c5338a37fb66233162fa8c69b47ff", "generator_version": "3.0"}
{"id": "v3_val_00004288", "prompt": "Find x: 3(x - 32) - 4 = 12(x + 2) - 214", "solution_steps": ["Expand: 3x - 96 - 4 = 12(x + 2) - 214", "Expand: 3x - 96 - 4 = 12x + 24 - 214", "Combine constants: 3x - 100 = 12x + 24 - 214", "Combine constants: 3x - 100 = 12x - 190", "Subtract 12x from both sides: -9x - 100 = -190", "Add 100 to both sides: -9x = -90", "Divide both sides by -9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 32) - 4 = 12(x + 2) - 214", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 32, \"c\": 4, \"d\": 12, \"e\": 2, \"g\": -214, \"x\": 10}", "seed": "11991213390882933504", "semantic_fingerprint": "sha256:a5c47e1f29e71ed640eb1bb78cbca2e0444e08cf23561dcfb21e9ccb4ebb1e2a", "generator_version": "3.0"}
{"id": "v3_val_00004289", "prompt": "Calculate: -49 - (-9 - 80)", "solution_steps": ["Subtract: -9 - 80 = -89", "Subtract: -49 - (-89) = 40"], "final_answer": "40", "answer_type": "integer", "kind": "expression", "math_text": "-49 - (-9 - 80)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -9, \"c\": 80}", "seed": "2757161213934564108", "semantic_fingerprint": "sha256:263781517f58183494c61c0257973c0ba9f8814496dec78e431db7d3912cd552", "generator_version": "3.0"}
{"id": "v3_val_00004290", "prompt": "Compute: -4 / (0 + (-264))", "solution_steps": ["Add: 0 + (-264) = -264", "Divide: -4 / (-264) = 1/66"], "final_answer": "1/66", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (0 + (-264))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 0, \"c\": -264}", "seed": "3945254543198076098", "semantic_fingerprint": "sha256:32bd3368fca2a91d05bb96adafc6147f94564002a926b6a84963b7f44fb77f02", "generator_version": "3.0"}
{"id": "v3_val_00004291", "prompt": "Solve for x: 5(x - 94) + 6 = 99", "solution_steps": ["Expand: 5x - 470 + 6 = 99", "Combine constants: 5x - 464 = 99", "Add 464 to both sides: 5x = 563", "Divide both sides by 5: x = 563/5"], "final_answer": "563/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 94) + 6 = 99", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 94, \"c\": 6, \"d\": 99}", "seed": "1321368528437563543", "semantic_fingerprint": "sha256:60dac8e817179dcbc8aa2d4e56ebdebf42b012bbd640550b2d5b74430773d4c1", "generator_version": "3.0"}
{"id": "v3_val_00004292", "prompt": "Evaluate: -766 - 4 * 29", "solution_steps": ["Multiply: 4 * 29 = 116", "Subtract: -766 - 116 = -882"], "final_answer": "-882", "answer_type": "integer", "kind": "expression", "math_text": "-766 - 4 * 29", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -766, \"b\": 4, \"c\": 29}", "seed": "17445333517699954258", "semantic_fingerprint": "sha256:167c81932bdec3348933de3ad04d08449494960a505332872dbcfb62b4766b04", "generator_version": "3.0"}
{"id": "v3_val_00004293", "prompt": "Calculate: 4 - 7 * (-46)", "solution_steps": ["Multiply: 7 * (-46) = -322", "Subtract: 4 - (-322) = 326"], "final_answer": "326", "answer_type": "integer", "kind": "expression", "math_text": "4 - 7 * (-46)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": -46}", "seed": "13348888288515705527", "semantic_fingerprint": "sha256:69822729970dfc423f9f576c5d6e361a21ecdf9f1a02af1a1e0db4210cd253fb", "generator_version": "3.0"}
{"id": "v3_val_00004294", "prompt": "What is 7 / (-1 * 4)?", "solution_steps": ["Multiply: -1 * 4 = -4", "Divide: 7 / (-4) = -7/4"], "final_answer": "-7/4", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-1 * 4)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -1, \"c\": 4}", "seed": "298326615405710609", "semantic_fingerprint": "sha256:806c310d2b2dc9a2415945887101e05bd372cfbbf2dc0a169478fdad1310be66", "generator_version": "3.0"}
{"id": "v3_val_00004295", "prompt": "What value of x satisfies -7x = 4(x - 4)?", "solution_steps": ["Expand: -7x = 4x - 16", "Subtract 4x from both sides: -11x = -16", "Divide both sides by -11: x = 16/11"], "final_answer": "16/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x = 4(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 4}", "seed": "11038090098891066954", "semantic_fingerprint": "sha256:f852943c29539ebd6b15aba467279b70bb55f0e378aae4cd2e1cd84de47cfa17", "generator_version": "3.0"}
{"id": "v3_val_00004296", "prompt": "Compute: (-59 + (-80)) / 2 - (-980)", "solution_steps": ["Add: -59 + (-80) = -139", "Divide: -139 / 2 = -139/2", "Subtract: -139/2 - (-980) = 1821/2"], "final_answer": "1821/2", "answer_type": "rational", "kind": "expression", "math_text": "(-59 + (-80)) / 2 - (-980)", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -80, \"c\": 2, \"d\": -980}", "seed": "10399706945556666045", "semantic_fingerprint": "sha256:1d336e09a9d4e632d3f9c7bd8b9462d5423dad707eb4acdf710c5233e1a26bd6", "generator_version": "3.0"}
{"id": "v3_val_00004297", "prompt": "Solve the equation 7(x - 2) + 27 = -11(x - 27) - 94 for x.", "solution_steps": ["Expand: 7x - 14 + 27 = -11(x - 27) - 94", "Expand: 7x - 14 + 27 = -11x + 297 - 94", "Combine constants: 7x + 13 = -11x + 297 - 94", "Combine constants: 7x + 13 = -11x + 203", "Add 11x to both sides: 18x + 13 = 203", "Subtract 13 from both sides: 18x = 190", "Divide both sides by 18: x = 95/9"], "final_answer": "95/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 2) + 27 = -11(x - 27) - 94", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 27, \"d\": -11, \"e\": 27, \"f\": 94}", "seed": "15015528981046200026", "semantic_fingerprint": "sha256:cd7b7a65fb42e0fef10f8fe6c0bff4de4745046533f8af572f410babe1d2c037", "generator_version": "3.0"}
{"id": "v3_val_00004298", "prompt": "What value of x satisfies -4(x - 9) - 4 = -7(x - 1) + 16?", "solution_steps": ["Expand: -4x + 36 - 4 = -7(x - 1) + 16", "Expand: -4x + 36 - 4 = -7x + 7 + 16", "Combine constants: -4x + 32 = -7x + 7 + 16", "Combine constants: -4x + 32 = -7x + 23", "Add 7x to both sides: 3x + 32 = 23", "Subtract 32 from both sides: 3x = -9", "Divide both sides by 3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 9) - 4 = -7(x - 1) + 16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": 4, \"d\": -7, \"e\": 1, \"g\": 16, \"x\": -3}", "seed": "6940855782212564052", "semantic_fingerprint": "sha256:ca21856ab13a0209e29c7d698e7f431b1283551ee20cb9600b8ecc912616e8f9", "generator_version": "3.0"}
{"id": "v3_val_00004299", "prompt": "Solve for x: 9(x - 5) = 6(x + 1) - 87", "solution_steps": ["Expand: 9x - 45 = 6(x + 1) - 87", "Expand: 9x - 45 = 6x + 6 - 87", "Combine constants: 9x - 45 = 6x - 81", "Subtract 6x from both sides: 3x - 45 = -81", "Add 45 to both sides: 3x = -36", "Divide both sides by 3: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 5) = 6(x + 1) - 87", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 6, \"d\": 1, \"f\": -87, \"x\": -12}", "seed": "12167069735394221793", "semantic_fingerprint": "sha256:7b60e66fd26ea961064b9e6e6cd3e7fb2fd1d436aba9ff91247fb5f873453484", "generator_version": "3.0"}
{"id": "v3_val_00004300", "prompt": "Compute: -35 - 0 + 951", "solution_steps": ["Subtract: -35 - 0 = -35", "Add: -35 + 951 = 916"], "final_answer": "916", "answer_type": "integer", "kind": "expression", "math_text": "-35 - 0 + 951", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 0, \"c\": 951}", "seed": "5656825730872953606", "semantic_fingerprint": "sha256:9f4e96cf88fdf17cbc1230f957645437de7a028df1158c4e78c54b4ce60ab7de", "generator_version": "3.0"}
{"id": "v3_val_00004301", "prompt": "Evaluate: (241 + (-537)) / 21", "solution_steps": ["Add: 241 + (-537) = -296", "Divide: -296 / 21 = -296/21"], "final_answer": "-296/21", "answer_type": "rational", "kind": "expression", "math_text": "(241 + (-537)) / 21", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 241, \"b\": -537, \"c\": 21}", "seed": "8016820409261105027", "semantic_fingerprint": "sha256:fbee030bdf2ba8cffe9bc752f087eb83b7708d15b7ff08efd9e7f8164f435f55", "generator_version": "3.0"}
{"id": "v3_val_00004302", "prompt": "What is 572 - 28 / (-24)?", "solution_steps": ["Divide: 28 / (-24) = -7/6", "Subtract: 572 - (-7/6) = 3439/6"], "final_answer": "3439/6", "answer_type": "rational", "kind": "expression", "math_text": "572 - 28 / (-24)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 572, \"b\": 28, \"c\": -24}", "seed": "14491343210678499571", "semantic_fingerprint": "sha256:753c91e1591d1f11b917888e4485d6c083bd03e295f1d84a57cc467c332da6ac", "generator_version": "3.0"}
{"id": "v3_val_00004303", "prompt": "Solve the equation -8(x - 2) = x for x.", "solution_steps": ["Expand: -8x + 16 = x", "Subtract x from both sides: -9x + 16 = 0", "Subtract 16 from both sides: -9x = -16", "Divide both sides by -9: x = 16/9"], "final_answer": "16/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 2) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2}", "seed": "2609920129853476655", "semantic_fingerprint": "sha256:7add38d3cb78493981136b8885405bab446db538ea723827b291d02bdc9369a9", "generator_version": "3.0"}
{"id": "v3_val_00004304", "prompt": "Solve the equation -2x + 1 = x + 34 for x.", "solution_steps": ["Subtract x from both sides: -3x + 1 = 34", "Subtract 1 from both sides: -3x = 33", "Divide both sides by -3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x + 1 = x + 34", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 1, \"d\": 34, \"x\": -11}", "seed": "8400972276238929486", "semantic_fingerprint": "sha256:3c3c67447b3aa94c3a54456dd37576913fec0a387c50e556f0df476d6aad43fa", "generator_version": "3.0"}
{"id": "v3_val_00004305", "prompt": "Solve for x: -12(x - 73) - 837 = x", "solution_steps": ["Expand: -12x + 876 - 837 = x", "Combine constants: -12x + 39 = x", "Subtract x from both sides: -13x + 39 = 0", "Subtract 39 from both sides: -13x = -39", "Divide both sides by -13: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 73) - 837 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 73, \"d\": -837, \"x\": 3}", "seed": "7596332146516684002", "semantic_fingerprint": "sha256:5582d04197d5f308235b432d0f45af17516620cbdf74f53b4a9372e84e8e3346", "generator_version": "3.0"}
{"id": "v3_val_00004306", "prompt": "Solve the equation x - 6 = 6 for x.", "solution_steps": ["Add 6 to both sides: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 6", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6}", "seed": "11176805662534582180", "semantic_fingerprint": "sha256:75dcc87e6a0a052c102598d1c976c329bb5c11c4eb5501fe3b4964857ab7405a", "generator_version": "3.0"}
{"id": "v3_val_00004307", "prompt": "What value of x satisfies 10x - 95 = 2(x + 177) - 345?", "solution_steps": ["Expand: 10x - 95 = 2x + 354 - 345", "Combine constants: 10x - 95 = 2x + 9", "Subtract 2x from both sides: 8x - 95 = 9", "Add 95 to both sides: 8x = 104", "Divide both sides by 8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 95 = 2(x + 177) - 345", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 95, \"c\": 2, \"d\": 177, \"f\": -345, \"x\": 13}", "seed": "5041251129551617267", "semantic_fingerprint": "sha256:73f254e699502441c5719a151fad1fc314fc06cbe856c37bf9b3d34ae4e41fe9", "generator_version": "3.0"}
{"id": "v3_val_00004308", "prompt": "Calculate: -166 - 64 - 20", "solution_steps": ["Subtract: -166 - 64 = -230", "Subtract: -230 - 20 = -250"], "final_answer": "-250", "answer_type": "integer", "kind": "expression", "math_text": "-166 - 64 - 20", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -166, \"b\": 64, \"c\": 20}", "seed": "8272299746355898044", "semantic_fingerprint": "sha256:1b66b4acd7e6b4f49d8ac1868a89997ba593217f6e40b118092677783ba43fe9", "generator_version": "3.0"}
{"id": "v3_val_00004309", "prompt": "Evaluate: 5 * (-65) - 619 * (-5)", "solution_steps": ["Multiply: 5 * (-65) = -325", "Multiply: 619 * (-5) = -3095", "Subtract: -325 - (-3095) = 2770"], "final_answer": "2770", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-65) - 619 * (-5)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -65, \"c\": 619, \"d\": -5}", "seed": "4969650839185652227", "semantic_fingerprint": "sha256:3484b5cf7155c2ae229edf3c5344fe1588f89b6451dbf316113abf9df4d699eb", "generator_version": "3.0"}
{"id": "v3_val_00004310", "prompt": "Solve for x: 8x - 9 = x + 8", "solution_steps": ["Subtract x from both sides: 7x - 9 = 8", "Add 9 to both sides: 7x = 17", "Divide both sides by 7: x = 17/7"], "final_answer": "17/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 9 = x + 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 8}", "seed": "9414281970820075358", "semantic_fingerprint": "sha256:bcb8cc2c767d44cdbb351a52f19fd0711013720044a5f4e01e8868e050e7a24b", "generator_version": "3.0"}
{"id": "v3_val_00004311", "prompt": "What is -23 / 175 + 7?", "solution_steps": ["Divide: -23 / 175 = -23/175", "Add: -23/175 + 7 = 1202/175"], "final_answer": "1202/175", "answer_type": "rational", "kind": "expression", "math_text": "-23 / 175 + 7", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 175, \"c\": 7}", "seed": "3791254507073990375", "semantic_fingerprint": "sha256:a79de338c208d4139ce412f64aa107a182c5f364ff007ba09bbae5e492b83728", "generator_version": "3.0"}
{"id": "v3_val_00004312", "prompt": "Evaluate: (-22 - (-67)) / (37 + 316 + 299)", "solution_steps": ["Subtract: -22 - (-67) = 45", "Add: 37 + 316 = 353", "Add: 353 + 299 = 652", "Divide: 45 / 652 = 45/652"], "final_answer": "45/652", "answer_type": "rational", "kind": "expression", "math_text": "(-22 - (-67)) / (37 + 316 + 299)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -67, \"c\": 37, \"d\": 316, \"e\": 299}", "seed": "9228535308757217488", "semantic_fingerprint": "sha256:e42563844d294dcccbb8b1d143b9245ecf560b949cdf57b2ab89295d4b1abd00", "generator_version": "3.0"}
{"id": "v3_val_00004313", "prompt": "What value of x satisfies 5x - 10 = 3(x + 6)?", "solution_steps": ["Expand: 5x - 10 = 3x + 18", "Subtract 3x from both sides: 2x - 10 = 18", "Add 10 to both sides: 2x = 28", "Divide both sides by 2: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 10 = 3(x + 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 6, \"e\": -10, \"x\": 14}", "seed": "12761387897928450007", "semantic_fingerprint": "sha256:6d84e2094a05835148b9d245305f65e532e4a8779ac0c8c4c57228cfc69d1b18", "generator_version": "3.0"}
{"id": "v3_val_00004314", "prompt": "What value of x satisfies x + 117 = 3(x + 7) + 62?", "solution_steps": ["Expand: x + 117 = 3x + 21 + 62", "Combine constants: x + 117 = 3x + 83", "Subtract 3x from both sides: -2x + 117 = 83", "Subtract 117 from both sides: -2x = -34", "Divide both sides by -2: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 117 = 3(x + 7) + 62", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 117, \"b\": 3, \"c\": 7, \"e\": 62, \"x\": 17}", "seed": "8304135058450503969", "semantic_fingerprint": "sha256:1711588c63186fd882e8afb453d1b1b6400f25a3f781d57500f558a34cc190bd", "generator_version": "3.0"}
{"id": "v3_val_00004315", "prompt": "Compute: -11 - (-95)", "solution_steps": ["Subtract: -11 - (-95) = 84"], "final_answer": "84", "answer_type": "integer", "kind": "expression", "math_text": "-11 - (-95)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -95}", "seed": "2948197518809121967", "semantic_fingerprint": "sha256:e2cd47092130578a556d9679d1152f4ea63c6b8169adb6450fdc6c1e4a1b8087", "generator_version": "3.0"}
{"id": "v3_val_00004316", "prompt": "Solve for x: -7(x + 392) = -10(x - 396)", "solution_steps": ["Expand: -7x - 2744 = -10(x - 396)", "Expand: -7x - 2744 = -10x + 3960", "Add 10x to both sides: 3x - 2744 = 3960", "Add 2744 to both sides: 3x = 6704", "Divide both sides by 3: x = 6704/3"], "final_answer": "6704/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 392) = -10(x - 396)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 392, \"c\": -10, \"d\": 396}", "seed": "12622553207092223719", "semantic_fingerprint": "sha256:2a87aa96f4f9afa980f511167a85d25777875052bd038ef102e6980ac20609f2", "generator_version": "3.0"}
{"id": "v3_val_00004317", "prompt": "What value of x satisfies x + 50 = -10x - 49?", "solution_steps": ["Add 10x to both sides: 11x + 50 = -49", "Subtract 50 from both sides: 11x = -99", "Divide both sides by 11: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 50 = -10x - 49", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -10, \"d\": -49, \"x\": -9}", "seed": "8616835919529080056", "semantic_fingerprint": "sha256:546d0c2533a87f6d21b63340f7bc2ad9c4efe77d2cb841bd98ba93d0ac830d18", "generator_version": "3.0"}
{"id": "v3_val_00004318", "prompt": "Evaluate: 985 / 3 * 30 + (-43) * 3 / (-5)", "solution_steps": ["Divide: 985 / 3 = 985/3", "Multiply: (985/3) * 30 = 9850", "Multiply: -43 * 3 = -129", "Divide: -129 / (-5) = 129/5", "Add: 9850 + 129/5 = 49379/5"], "final_answer": "49379/5", "answer_type": "rational", "kind": "expression", "math_text": "985 / 3 * 30 + (-43) * 3 / (-5)", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 985, \"b\": 3, \"c\": 30, \"d\": -43, \"e\": 3, \"f\": -5}", "seed": "16074506677324493854", "semantic_fingerprint": "sha256:540e5ed478dd077407fe21d8df401277bff6175ed5d87b4bcf6bf3cc6f526f0c", "generator_version": "3.0"}
{"id": "v3_val_00004319", "prompt": "Solve the equation x + 46 = -2(x + 35) + 149 for x.", "solution_steps": ["Expand: x + 46 = -2x - 70 + 149", "Combine constants: x + 46 = -2x + 79", "Add 2x to both sides: 3x + 46 = 79", "Subtract 46 from both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 46 = -2(x + 35) + 149", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -2, \"c\": 35, \"e\": 149, \"x\": 11}", "seed": "17872310772650913171", "semantic_fingerprint": "sha256:6f69c8effe1b09f4c33da6e16c0aa134b5783c8aaba57dc2c50b0dfde2abc5ff", "generator_version": "3.0"}
{"id": "v3_val_00004320", "prompt": "What is 88 / (841 / 2 / (-21))?", "solution_steps": ["Divide: 841 / 2 = 841/2", "Divide: (841/2) / (-21) = -841/42", "Divide: 88 / (-841/42) = -3696/841"], "final_answer": "-3696/841", "answer_type": "rational", "kind": "expression", "math_text": "88 / (841 / 2 / (-21))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 841, \"c\": 2, \"d\": -21}", "seed": "7226855652973087876", "semantic_fingerprint": "sha256:2e4baff0e8a78afdd45218d5392e06207a8cdeb5c239f8ed33000d6dab470f65", "generator_version": "3.0"}
{"id": "v3_val_00004321", "prompt": "Calculate: -16 + (-1) + (9 * 694 + (-64) - (-72))", "solution_steps": ["Add: -16 + (-1) = -17", "Multiply: 9 * 694 = 6246", "Add: 6246 + (-64) = 6182", "Subtract: 6182 - (-72) = 6254", "Add: -17 + 6254 = 6237"], "final_answer": "6237", "answer_type": "integer", "kind": "expression", "math_text": "-16 + (-1) + (9 * 694 + (-64) - (-72))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (+ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -1, \"c\": 9, \"d\": 694, \"e\": -64, \"f\": -72}", "seed": "2032214660063176711", "semantic_fingerprint": "sha256:a60a123c097fbc7630014ad4b50ef612f834f10e516c785eecdc6c04f4eaa1bd", "generator_version": "3.0"}
{"id": "v3_val_00004322", "prompt": "Calculate: 3 + (-61) + 9", "solution_steps": ["Add: 3 + (-61) = -58", "Add: -58 + 9 = -49"], "final_answer": "-49", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-61) + 9", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -61, \"c\": 9}", "seed": "15248378270655019198", "semantic_fingerprint": "sha256:a7e216fd6c897a9746bf297d48880157ec8940257136f8bf6ab145a023b93e2f", "generator_version": "3.0"}
{"id": "v3_val_00004323", "prompt": "Compute: 9 / (9 / (-2)) / 60", "solution_steps": ["Divide: 9 / (-2) = -9/2", "Divide: 9 / (-9/2) = -2", "Divide: -2 / 60 = -1/30"], "final_answer": "-1/30", "answer_type": "rational", "kind": "expression", "math_text": "9 / (9 / (-2)) / 60", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": -2, \"d\": 60}", "seed": "13443269596180163282", "semantic_fingerprint": "sha256:d9610d8e71a2daf6db37e771b8dc1a54ffaecbe8bda3a8e491437e9233efcfb0", "generator_version": "3.0"}
{"id": "v3_val_00004324", "prompt": "Solve the equation 12(x - 255) = x - 31 for x.", "solution_steps": ["Expand: 12x - 3060 = x - 31", "Subtract x from both sides: 11x - 3060 = -31", "Add 3060 to both sides: 11x = 3029", "Divide both sides by 11: x = 3029/11"], "final_answer": "3029/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 255) = x - 31", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 255, \"c\": 31}", "seed": "12765546425886239653", "semantic_fingerprint": "sha256:1ecee32cb2714ccb56ebf4f8766db9dbec15cb1ca2edece94b7ea08fa8210c88", "generator_version": "3.0"}
{"id": "v3_val_00004325", "prompt": "What is (961 - 1) * (50 + 11) + (-7) + 0?", "solution_steps": ["Subtract: 961 - 1 = 960", "Add: 50 + 11 = 61", "Multiply: 960 * 61 = 58560", "Add: 58560 + (-7) = 58553", "Add: 58553 + 0 = 58553"], "final_answer": "58553", "answer_type": "integer", "kind": "expression", "math_text": "(961 - 1) * (50 + 11) + (-7) + 0", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* (- n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 961, \"b\": 1, \"c\": 50, \"d\": 11, \"e\": -7, \"f\": 0}", "seed": "6794752918191998979", "semantic_fingerprint": "sha256:bad9b833fe5be4c8e5af386c051996d0934d7f19c3bc2c0bd6c36c21ee5d4da1", "generator_version": "3.0"}
{"id": "v3_val_00004326", "prompt": "Calculate: -93 / (-88) - 40", "solution_steps": ["Divide: -93 / (-88) = 93/88", "Subtract: 93/88 - 40 = -3427/88"], "final_answer": "-3427/88", "answer_type": "rational", "kind": "expression", "math_text": "-93 / (-88) - 40", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -88, \"c\": 40}", "seed": "1925170467576802471", "semantic_fingerprint": "sha256:401e6edff7f4e57b7b27d27c3a4ce3925af96746d58e81adfa28f463dbf6fb62", "generator_version": "3.0"}
{"id": "v3_val_00004327", "prompt": "What is -10 + 98?", "solution_steps": ["Add: -10 + 98 = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "-10 + 98", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 98}", "seed": "11341468242839947875", "semantic_fingerprint": "sha256:6ea094ed22c3f732abc91fbd70c9e75404bc59ea32b0a92ab9e6da9e96822f69", "generator_version": "3.0"}
{"id": "v3_val_00004328", "prompt": "Calculate: -14 / (-22) * (-923)", "solution_steps": ["Divide: -14 / (-22) = 7/11", "Multiply: (7/11) * (-923) = -6461/11"], "final_answer": "-6461/11", "answer_type": "rational", "kind": "expression", "math_text": "-14 / (-22) * (-923)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": -22, \"c\": -923}", "seed": "568346913589310711", "semantic_fingerprint": "sha256:6a7c4ad15dbb457edf9e4b0cf3014696700ddc7fe0d43f3a8b51ed8bdb6c00ce", "generator_version": "3.0"}
{"id": "v3_val_00004329", "prompt": "Calculate: 16 + 90", "solution_steps": ["Add: 16 + 90 = 106"], "final_answer": "106", "answer_type": "integer", "kind": "expression", "math_text": "16 + 90", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 90}", "seed": "10780328791050127949", "semantic_fingerprint": "sha256:1ffac16a1baef35ae714d3cef770b147a585721869a300790bccdbf16f5e5167", "generator_version": "3.0"}
{"id": "v3_val_00004330", "prompt": "Compute: -6 + (-2)", "solution_steps": ["Add: -6 + (-2) = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-2)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -2}", "seed": "13522982971761598716", "semantic_fingerprint": "sha256:4aab34307a8d77d94616b376608160a782bbd378dc078546cab9c116ac4f208b", "generator_version": "3.0"}
{"id": "v3_val_00004331", "prompt": "What is -56 - (-1) - (-7 * 7 - 0)?", "solution_steps": ["Subtract: -56 - (-1) = -55", "Multiply: -7 * 7 = -49", "Subtract: -49 - 0 = -49", "Subtract: -55 - (-49) = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "-56 - (-1) - (-7 * 7 - 0)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -1, \"c\": -7, \"d\": 7, \"e\": 0}", "seed": "522760783457489507", "semantic_fingerprint": "sha256:58de6e8010d6ef21c3037d2b66f4ac18052c44135707f627f7ee4802a4d702f4", "generator_version": "3.0"}
{"id": "v3_val_00004332", "prompt": "Solve the equation x + 40 = 26 for x.", "solution_steps": ["Subtract 40 from both sides: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 40 = 26", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 40, \"c\": 26, \"x\": -14}", "seed": "11324179572966888824", "semantic_fingerprint": "sha256:2ecac5842a0ef9c3bdedadbb9121de428ce0e89ed80eaaaa58f78b38c0261ac2", "generator_version": "3.0"}
{"id": "v3_val_00004333", "prompt": "What value of x satisfies x + 21 = 3(x + 3)?", "solution_steps": ["Expand: x + 21 = 3x + 9", "Subtract 3x from both sides: -2x + 21 = 9", "Subtract 21 from both sides: -2x = -12", "Divide both sides by -2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 21 = 3(x + 3)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"d\": 21, \"x\": 6}", "seed": "11522941300604223194", "semantic_fingerprint": "sha256:dda980219cd79dfd11c11d64ec180c1b77dca1d5a1628757113cfb2c8393eda1", "generator_version": "3.0"}
{"id": "v3_val_00004334", "prompt": "Evaluate: -452 + (-541)", "solution_steps": ["Add: -452 + (-541) = -993"], "final_answer": "-993", "answer_type": "integer", "kind": "expression", "math_text": "-452 + (-541)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -452, \"b\": -541}", "seed": "6813353630253727516", "semantic_fingerprint": "sha256:1094df226db5ee03ebb5964b6071a6867a7ed70f6b7c6447866475a53b2096e9", "generator_version": "3.0"}
{"id": "v3_val_00004335", "prompt": "Solve for x: 11(x + 49) - 133 = 582", "solution_steps": ["Expand: 11x + 539 - 133 = 582", "Combine constants: 11x + 406 = 582", "Subtract 406 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 + 49) - 133 = 582", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 49, \"c\": 133, \"e\": 582, \"x\": 16}", "seed": "644594880981626854", "semantic_fingerprint": "sha256:916f23ae5dd2274d7bd3883f7e14a459980ecb463ca388de60c5d1640b9632b3", "generator_version": "3.0"}
{"id": "v3_val_00004336", "prompt": "Solve the equation -5(x + 67) = -345 for x.", "solution_steps": ["Expand: -5x - 335 = -345", "Add 335 to both sides: -5x = -10", "Divide both sides by -5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 67) = -345", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 67, \"d\": -345, \"x\": 2}", "seed": "14802183363854061532", "semantic_fingerprint": "sha256:fb21e6233974ae93a796c1a187420b32301bd75489b0c33eb064105abaad84a4", "generator_version": "3.0"}
{"id": "v3_val_00004337", "prompt": "Calculate: 427 * 50 / (-31 / 29)", "solution_steps": ["Multiply: 427 * 50 = 21350", "Divide: -31 / 29 = -31/29", "Divide: 21350 / (-31/29) = -619150/31"], "final_answer": "-619150/31", "answer_type": "rational", "kind": "expression", "math_text": "427 * 50 / (-31 / 29)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 427, \"b\": 50, \"c\": -31, \"d\": 29}", "seed": "17087844921481464192", "semantic_fingerprint": "sha256:88d70f73d78494fec4ea545f812f102b85b16054bd55f8050fbfb749e722aef5", "generator_version": "3.0"}
{"id": "v3_val_00004338", "prompt": "Compute: (-43 * 7 - 5) / 52", "solution_steps": ["Multiply: -43 * 7 = -301", "Subtract: -301 - 5 = -306", "Divide: -306 / 52 = -153/26"], "final_answer": "-153/26", "answer_type": "rational", "kind": "expression", "math_text": "(-43 * 7 - 5) / 52", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 7, \"c\": 5, \"d\": 52}", "seed": "15526224189522863592", "semantic_fingerprint": "sha256:15affe2e87f31702e8b57dc99382fe2626f23d87982f5f019211147a650cabee", "generator_version": "3.0"}
{"id": "v3_val_00004339", "prompt": "Solve for x: -10(x + 8) + 234 = x", "solution_steps": ["Expand: -10x - 80 + 234 = x", "Combine constants: -10x + 154 = x", "Subtract x from both sides: -11x + 154 = 0", "Subtract 154 from both sides: -11x = -154", "Divide both sides by -11: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 8) + 234 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 8, \"d\": 234, \"x\": 14}", "seed": "9501367442790386574", "semantic_fingerprint": "sha256:573c765410d4de67acd07571e8b0de5924431ea2c9847b788eec2f2d62789da9", "generator_version": "3.0"}
{"id": "v3_val_00004340", "prompt": "Compute: -5 + (-3) - 0", "solution_steps": ["Add: -5 + (-3) = -8", "Subtract: -8 - 0 = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-3) - 0", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -3, \"c\": 0}", "seed": "427098693283933632", "semantic_fingerprint": "sha256:de5a9835d7189306c1ddd06822d164199558083e641fd0b2369907e52a2ade55", "generator_version": "3.0"}
{"id": "v3_val_00004341", "prompt": "Solve the equation 9(x - 104) + 7 = x - 16 for x.", "solution_steps": ["Expand: 9x - 936 + 7 = x - 16", "Combine constants: 9x - 929 = x - 16", "Subtract x from both sides: 8x - 929 = -16", "Add 929 to both sides: 8x = 913", "Divide both sides by 8: x = 913/8"], "final_answer": "913/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 104) + 7 = x - 16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 104, \"c\": 7, \"d\": 16}", "seed": "1876082882104256441", "semantic_fingerprint": "sha256:9df1b7c27fd31707493fb689e7184b122bc0438d6605b4f76685ac368b5f698f", "generator_version": "3.0"}
{"id": "v3_val_00004342", "prompt": "What is -2 - (-40) - (-555 - (-285))?", "solution_steps": ["Subtract: -2 - (-40) = 38", "Subtract: -555 - (-285) = -270", "Subtract: 38 - (-270) = 308"], "final_answer": "308", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-40) - (-555 - (-285))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -40, \"c\": -555, \"d\": -285}", "seed": "6850097459316236508", "semantic_fingerprint": "sha256:bdf27ca06de82447212cabae5a6e355efe70f6f06470989b30f00a4a9aa44f45", "generator_version": "3.0"}
{"id": "v3_val_00004343", "prompt": "What is -3 - (-69 + (-235))?", "solution_steps": ["Add: -69 + (-235) = -304", "Subtract: -3 - (-304) = 301"], "final_answer": "301", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-69 + (-235))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -69, \"c\": -235}", "seed": "850225966062897092", "semantic_fingerprint": "sha256:a0169be2306b6d9fb81cfbf97c19d1c9547279f7f20ecb817a90c5c8aef4e391", "generator_version": "3.0"}
{"id": "v3_val_00004344", "prompt": "Calculate: -93 * (-89 - 6 * (-60))", "solution_steps": ["Multiply: 6 * (-60) = -360", "Subtract: -89 - (-360) = 271", "Multiply: -93 * 271 = -25203"], "final_answer": "-25203", "answer_type": "integer", "kind": "expression", "math_text": "-93 * (-89 - 6 * (-60))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -89, \"c\": 6, \"d\": -60}", "seed": "10935831111438294539", "semantic_fingerprint": "sha256:54dafa31299b8633403dfbe60670fc4cf2c51bf76fb38df8659e0a80cf33858f", "generator_version": "3.0"}
{"id": "v3_val_00004345", "prompt": "Compute: -59 - 9", "solution_steps": ["Subtract: -59 - 9 = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "expression", "math_text": "-59 - 9", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 9}", "seed": "5524783343481595296", "semantic_fingerprint": "sha256:6543bc8d3c497b5cea5d9a72091d40fe2d09c0d9b218e61b5e59358afaa3f390", "generator_version": "3.0"}
{"id": "v3_val_00004346", "prompt": "Solve for x: -6(x + 7) + 423 = 4(x + 3) + 329", "solution_steps": ["Expand: -6x - 42 + 423 = 4(x + 3) + 329", "Expand: -6x - 42 + 423 = 4x + 12 + 329", "Combine constants: -6x + 381 = 4x + 12 + 329", "Combine constants: -6x + 381 = 4x + 341", "Subtract 4x from both sides: -10x + 381 = 341", "Subtract 381 from both sides: -10x = -40", "Divide both sides by -10: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 7) + 423 = 4(x + 3) + 329", "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\": 423, \"d\": 4, \"e\": 3, \"g\": 329, \"x\": 4}", "seed": "10544752461600450244", "semantic_fingerprint": "sha256:ac3ff0841d262e0bbb4d863ee21338f49fd4c924210925daa44753c4727b5807", "generator_version": "3.0"}
{"id": "v3_val_00004347", "prompt": "Solve for x: x + 33 = 9(x + 9)", "solution_steps": ["Expand: x + 33 = 9x + 81", "Subtract 9x from both sides: -8x + 33 = 81", "Subtract 33 from both sides: -8x = 48", "Divide both sides by -8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33 = 9(x + 9)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"d\": 33, \"x\": -6}", "seed": "9126552259934176028", "semantic_fingerprint": "sha256:45a0828ceb92d996080f04023f7440620d077746887de547ee250bc71a640c14", "generator_version": "3.0"}
{"id": "v3_val_00004348", "prompt": "What value of x satisfies 11x - 190 = x?", "solution_steps": ["Subtract x from both sides: 10x - 190 = 0", "Add 190 to both sides: 10x = 190", "Divide both sides by 10: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 190 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": -190, \"x\": 19}", "seed": "10035442821575819522", "semantic_fingerprint": "sha256:580904e7cb77d18eedb2966169cbb119b360df853a357942ab2986ff3888d286", "generator_version": "3.0"}
{"id": "v3_val_00004349", "prompt": "Find x: 5x + 13 = x - 11", "solution_steps": ["Subtract x from both sides: 4x + 13 = -11", "Subtract 13 from both sides: 4x = -24", "Divide both sides by 4: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 13 = x - 11", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 13, \"d\": -11, \"x\": -6}", "seed": "233998480447134957", "semantic_fingerprint": "sha256:f44da4edee7c0b141b68f0590c1f1dfb926f4e3c8efe045a3765accf40d6c34d", "generator_version": "3.0"}
{"id": "v3_val_00004350", "prompt": "Solve for x: -7x + 625 = -41", "solution_steps": ["Subtract 625 from both sides: -7x = -666", "Divide both sides by -7: x = 666/7"], "final_answer": "666/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x + 625 = -41", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 625, \"c\": -41}", "seed": "84371770026811666", "semantic_fingerprint": "sha256:567a63b9f102db7ba2c73876b8f2b98ad4c32b1d830d630a13e05134b4dcd546", "generator_version": "3.0"}
{"id": "v3_val_00004351", "prompt": "Solve for x: -7x - 96 = x - 216", "solution_steps": ["Subtract x from both sides: -8x - 96 = -216", "Add 96 to both sides: -8x = -120", "Divide both sides by -8: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 96 = x - 216", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 96, \"d\": -216, \"x\": 15}", "seed": "7399556142525632938", "semantic_fingerprint": "sha256:865cfb7b2465f5cbf2965ca1ccc342d2fa98045dde22410b70a41471493d4686", "generator_version": "3.0"}
{"id": "v3_val_00004352", "prompt": "What is -72 / (7 - 44)?", "solution_steps": ["Subtract: 7 - 44 = -37", "Divide: -72 / (-37) = 72/37"], "final_answer": "72/37", "answer_type": "rational", "kind": "expression", "math_text": "-72 / (7 - 44)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 7, \"c\": 44}", "seed": "4594612953212349091", "semantic_fingerprint": "sha256:09ff72ac770bf5aa80512d326a233565e66927915ac101a66c0b815ff2b13592", "generator_version": "3.0"}
{"id": "v3_val_00004353", "prompt": "Evaluate: -575 + 166", "solution_steps": ["Add: -575 + 166 = -409"], "final_answer": "-409", "answer_type": "integer", "kind": "expression", "math_text": "-575 + 166", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -575, \"b\": 166}", "seed": "15515618564182843322", "semantic_fingerprint": "sha256:73c05746605136d772dce9899d8debda18e2f916d07d79da27f50fd89454600d", "generator_version": "3.0"}
{"id": "v3_val_00004354", "prompt": "Compute: -664 / (-837 + (-836))", "solution_steps": ["Add: -837 + (-836) = -1673", "Divide: -664 / (-1673) = 664/1673"], "final_answer": "664/1673", "answer_type": "rational", "kind": "expression", "math_text": "-664 / (-837 + (-836))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -664, \"b\": -837, \"c\": -836}", "seed": "814551773019470259", "semantic_fingerprint": "sha256:049b8a5f7501dddeb6c40484bb6b642ece1041f330fae3645c45feab0b0b810f", "generator_version": "3.0"}
{"id": "v3_val_00004355", "prompt": "Solve for x: -9(x - 20) + 7 = -5(x - 10) + 73", "solution_steps": ["Expand: -9x + 180 + 7 = -5(x - 10) + 73", "Expand: -9x + 180 + 7 = -5x + 50 + 73", "Combine constants: -9x + 187 = -5x + 50 + 73", "Combine constants: -9x + 187 = -5x + 123", "Add 5x to both sides: -4x + 187 = 123", "Subtract 187 from both sides: -4x = -64", "Divide both sides by -4: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 20) + 7 = -5(x - 10) + 73", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 20, \"c\": 7, \"d\": -5, \"e\": 10, \"g\": 73, \"x\": 16}", "seed": "14131141666125046119", "semantic_fingerprint": "sha256:8934d9787aec070f5b3b54fa6f1e6b8ee425c5d4c596917b2bcf5e343595f5db", "generator_version": "3.0"}
{"id": "v3_val_00004356", "prompt": "Find x: -7x = 28", "solution_steps": ["Divide both sides by -7: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 28", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"c\": 28, \"x\": -4}", "seed": "2084921326798094281", "semantic_fingerprint": "sha256:2221091c136084631cc3c6dad69a4e2b2eed2996410d03bfd952a11d95adf0c9", "generator_version": "3.0"}
{"id": "v3_val_00004357", "prompt": "Evaluate: 249 + 83 - 935 * (6 - (-38))", "solution_steps": ["Add: 249 + 83 = 332", "Subtract: 6 - (-38) = 44", "Multiply: 935 * 44 = 41140", "Subtract: 332 - 41140 = -40808"], "final_answer": "-40808", "answer_type": "integer", "kind": "expression", "math_text": "249 + 83 - 935 * (6 - (-38))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 249, \"b\": 83, \"c\": 935, \"d\": 6, \"e\": -38}", "seed": "17711111087156798538", "semantic_fingerprint": "sha256:ed8385ab6012eff0756edb906ce90481aca4f6b3144db4bbf320bf878d1fe06d", "generator_version": "3.0"}
{"id": "v3_val_00004358", "prompt": "Compute: 8 - 579 - (-40 - (946 - (-4)))", "solution_steps": ["Subtract: 8 - 579 = -571", "Subtract: 946 - (-4) = 950", "Subtract: -40 - 950 = -990", "Subtract: -571 - (-990) = 419"], "final_answer": "419", "answer_type": "integer", "kind": "expression", "math_text": "8 - 579 - (-40 - (946 - (-4)))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 579, \"c\": -40, \"d\": 946, \"e\": -4}", "seed": "5839853232301690255", "semantic_fingerprint": "sha256:3674bb994c039d977b1dc16fc0b5711fa226dd02bbddb77b353a94cf858746c8", "generator_version": "3.0"}
{"id": "v3_val_00004359", "prompt": "Compute: 2 * (5 / 47)", "solution_steps": ["Divide: 5 / 47 = 5/47", "Multiply: 2 * (5/47) = 10/47"], "final_answer": "10/47", "answer_type": "rational", "kind": "expression", "math_text": "2 * (5 / 47)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 47}", "seed": "2018146315562778713", "semantic_fingerprint": "sha256:fcafb017efbbddffbb711521a29dbdd8b128fb3ef73f680ad799646e2141e328", "generator_version": "3.0"}
{"id": "v3_val_00004360", "prompt": "Calculate: -383 / (5 / (-7))", "solution_steps": ["Divide: 5 / (-7) = -5/7", "Divide: -383 / (-5/7) = 2681/5"], "final_answer": "2681/5", "answer_type": "rational", "kind": "expression", "math_text": "-383 / (5 / (-7))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -383, \"b\": 5, \"c\": -7}", "seed": "13447907039780127896", "semantic_fingerprint": "sha256:951f814e84578f3377214e0dd283d2cc4eda322254fb52f57dd1c600bd3c250f", "generator_version": "3.0"}
{"id": "v3_val_00004361", "prompt": "Calculate: 36 / (906 - 6)", "solution_steps": ["Subtract: 906 - 6 = 900", "Divide: 36 / 900 = 1/25"], "final_answer": "1/25", "answer_type": "rational", "kind": "expression", "math_text": "36 / (906 - 6)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 906, \"c\": 6}", "seed": "1028282518348170796", "semantic_fingerprint": "sha256:5ead85d77cdaf818f04f923de43327350b88fc4b01269281c58b769986418fea", "generator_version": "3.0"}
{"id": "v3_val_00004362", "prompt": "What is -45 - (44 - (0 + 968 + (-99)))?", "solution_steps": ["Add: 0 + 968 = 968", "Add: 968 + (-99) = 869", "Subtract: 44 - 869 = -825", "Subtract: -45 - (-825) = 780"], "final_answer": "780", "answer_type": "integer", "kind": "expression", "math_text": "-45 - (44 - (0 + 968 + (-99)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 44, \"c\": 0, \"d\": 968, \"e\": -99}", "seed": "6192986231443356858", "semantic_fingerprint": "sha256:4a7cb887eecccae028c358f5d28092788a0300b9c7f3de4def842cb0dc007cea", "generator_version": "3.0"}
{"id": "v3_val_00004363", "prompt": "Compute: -9 - (-7) / 858", "solution_steps": ["Divide: -7 / 858 = -7/858", "Subtract: -9 - (-7/858) = -7715/858"], "final_answer": "-7715/858", "answer_type": "rational", "kind": "expression", "math_text": "-9 - (-7) / 858", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -7, \"c\": 858}", "seed": "13082283030052443746", "semantic_fingerprint": "sha256:729688dfc8cd677e21e5c6965c113bb2277e3fd00bbd064e049dc1fabc322751", "generator_version": "3.0"}
{"id": "v3_val_00004364", "prompt": "Evaluate: 4 * 4 - (-3)", "solution_steps": ["Multiply: 4 * 4 = 16", "Subtract: 16 - (-3) = 19"], "final_answer": "19", "answer_type": "integer", "kind": "expression", "math_text": "4 * 4 - (-3)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": -3}", "seed": "9936097704265516645", "semantic_fingerprint": "sha256:5a444fe9f0be1c2588679de01549ee3db49c4a3d3b99826fa24335265b8731c0", "generator_version": "3.0"}
{"id": "v3_val_00004365", "prompt": "Find x: -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": "7867652897887907522", "semantic_fingerprint": "sha256:ad344d83f5ad242441431939306518288eb3f0559763e0588133fc3f1a54b5c7", "generator_version": "3.0"}
{"id": "v3_val_00004366", "prompt": "Calculate: 72 - (-714)", "solution_steps": ["Subtract: 72 - (-714) = 786"], "final_answer": "786", "answer_type": "integer", "kind": "expression", "math_text": "72 - (-714)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -714}", "seed": "7138654186480667695", "semantic_fingerprint": "sha256:85c2fae0205e6bad49ba0ef3c90f3cf471beb779db48ea1910153e3dfbd69dee", "generator_version": "3.0"}
{"id": "v3_val_00004367", "prompt": "Compute: (39 + 2) / (4 - (-2))", "solution_steps": ["Add: 39 + 2 = 41", "Subtract: 4 - (-2) = 6", "Divide: 41 / 6 = 41/6"], "final_answer": "41/6", "answer_type": "rational", "kind": "expression", "math_text": "(39 + 2) / (4 - (-2))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 2, \"c\": 4, \"d\": -2}", "seed": "5777840837773434544", "semantic_fingerprint": "sha256:157df17f6cd0dc5e85b6da4cdddf52ec57d74c7263db68c098daf094e73aa0ee", "generator_version": "3.0"}
{"id": "v3_val_00004368", "prompt": "Solve for x: x = 12x + 88", "solution_steps": ["Subtract 12x from both sides: -11x = 88", "Divide both sides by -11: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 12x + 88", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": 88, \"x\": -8}", "seed": "9191278563169962891", "semantic_fingerprint": "sha256:28c1a13a12a7a425f92721f0bf7cbefe91fe0b2001f592378dd1b42d74e482fd", "generator_version": "3.0"}
{"id": "v3_val_00004369", "prompt": "Solve for x: 11x + 5 = -5(x - 10) - 301", "solution_steps": ["Expand: 11x + 5 = -5x + 50 - 301", "Combine constants: 11x + 5 = -5x - 251", "Add 5x to both sides: 16x + 5 = -251", "Subtract 5 from both sides: 16x = -256", "Divide both sides by 16: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 5 = -5(x - 10) - 301", "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\": 10, \"f\": -301, \"x\": -16}", "seed": "16235698017884741826", "semantic_fingerprint": "sha256:b1df157768c614deb46978665d4a4dd87e30f06f46c29ab7f4b6752adf6fe029", "generator_version": "3.0"}
{"id": "v3_val_00004370", "prompt": "What value of x satisfies 6(x - 165) - 9 = x?", "solution_steps": ["Expand: 6x - 990 - 9 = x", "Combine constants: 6x - 999 = x", "Subtract x from both sides: 5x - 999 = 0", "Add 999 to both sides: 5x = 999", "Divide both sides by 5: x = 999/5"], "final_answer": "999/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 165) - 9 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 165, \"c\": 9}", "seed": "9585486146096818832", "semantic_fingerprint": "sha256:518443118b1fd81aa0be4399f3aa7ee8cf4593d152ba23df9bb975c1e89cd05d", "generator_version": "3.0"}
{"id": "v3_val_00004371", "prompt": "Evaluate: 63 + 6 + (-951)", "solution_steps": ["Add: 63 + 6 = 69", "Add: 69 + (-951) = -882"], "final_answer": "-882", "answer_type": "integer", "kind": "expression", "math_text": "63 + 6 + (-951)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 6, \"c\": -951}", "seed": "14643611915878183825", "semantic_fingerprint": "sha256:8f32043aa9f8686d4300020def75d26fb195c5564fc3e416cbb9101a13bd689d", "generator_version": "3.0"}
{"id": "v3_val_00004372", "prompt": "Calculate: 4 + 79 - 0", "solution_steps": ["Add: 4 + 79 = 83", "Subtract: 83 - 0 = 83"], "final_answer": "83", "answer_type": "integer", "kind": "expression", "math_text": "4 + 79 - 0", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 79, \"c\": 0}", "seed": "11360513400592496957", "semantic_fingerprint": "sha256:11f2005abab72b7d7f8d2ac961632dcdbd4a926c0b1bf9ec11c37727f4f8d091", "generator_version": "3.0"}
{"id": "v3_val_00004373", "prompt": "Calculate: -6 + (-88) + 0", "solution_steps": ["Add: -6 + (-88) = -94", "Add: -94 + 0 = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-88) + 0", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -88, \"c\": 0}", "seed": "13968343401371854145", "semantic_fingerprint": "sha256:3ad1e1a4407a1d4e774ffe8e7bfae954cb60943e03095c4d1f32d062bce337ce", "generator_version": "3.0"}
{"id": "v3_val_00004374", "prompt": "Evaluate: 694 * (-319 / (-18))", "solution_steps": ["Divide: -319 / (-18) = 319/18", "Multiply: 694 * (319/18) = 110693/9"], "final_answer": "110693/9", "answer_type": "rational", "kind": "expression", "math_text": "694 * (-319 / (-18))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 694, \"b\": -319, \"c\": -18}", "seed": "17496698675426679590", "semantic_fingerprint": "sha256:62748776711cc303aaa956645191a87eeb7e6619b14368da5d5583503436e1c7", "generator_version": "3.0"}
{"id": "v3_val_00004375", "prompt": "Find x: 11(x + 1) + 523 = -4(x - 386) - 905", "solution_steps": ["Expand: 11x + 11 + 523 = -4(x - 386) - 905", "Expand: 11x + 11 + 523 = -4x + 1544 - 905", "Combine constants: 11x + 534 = -4x + 1544 - 905", "Combine constants: 11x + 534 = -4x + 639", "Add 4x to both sides: 15x + 534 = 639", "Subtract 534 from both sides: 15x = 105", "Divide both sides by 15: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 1) + 523 = -4(x - 386) - 905", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 523, \"d\": -4, \"e\": 386, \"g\": -905, \"x\": 7}", "seed": "13638924560506096368", "semantic_fingerprint": "sha256:66b95211a9f407db38f440e5c45e23a1f0d99c6e49d3907a1f258a55b594a94a", "generator_version": "3.0"}
{"id": "v3_val_00004376", "prompt": "Compute: -635 / (-24)", "solution_steps": ["Divide: -635 / (-24) = 635/24"], "final_answer": "635/24", "answer_type": "rational", "kind": "expression", "math_text": "-635 / (-24)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -635, \"b\": -24}", "seed": "13511768758328297945", "semantic_fingerprint": "sha256:ab1eb85e64a7e50480c4e84a81d2d77704b67a21dc3ef2fabdcfb08bd171c18d", "generator_version": "3.0"}
{"id": "v3_val_00004377", "prompt": "Solve the equation 7(x + 18) = 8(x - 51) for x.", "solution_steps": ["Expand: 7x + 126 = 8(x - 51)", "Expand: 7x + 126 = 8x - 408", "Subtract 8x from both sides: -x + 126 = -408", "Subtract 126 from both sides: -x = -534", "Divide both sides by -1: x = 534"], "final_answer": "534", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 18) = 8(x - 51)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 18, \"c\": 8, \"d\": 51}", "seed": "17290948686170197135", "semantic_fingerprint": "sha256:89ec21a2f90efa1213ccdd2e62e1b5605e246310ff123fd6bac8d4336c6cba2d", "generator_version": "3.0"}
{"id": "v3_val_00004378", "prompt": "Calculate: 702 * (-43 + 22 + (-48)) / 5", "solution_steps": ["Add: -43 + 22 = -21", "Add: -21 + (-48) = -69", "Multiply: 702 * (-69) = -48438", "Divide: -48438 / 5 = -48438/5"], "final_answer": "-48438/5", "answer_type": "rational", "kind": "expression", "math_text": "702 * (-43 + 22 + (-48)) / 5", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 702, \"b\": -43, \"c\": 22, \"d\": -48, \"e\": 5}", "seed": "5837358914593584487", "semantic_fingerprint": "sha256:a367c0447fab0d342f0c3d09007e48cf6aeff3cea7b8b65ed336248b98281ed7", "generator_version": "3.0"}
{"id": "v3_val_00004379", "prompt": "What is -850 / 3?", "solution_steps": ["Divide: -850 / 3 = -850/3"], "final_answer": "-850/3", "answer_type": "rational", "kind": "expression", "math_text": "-850 / 3", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -850, \"b\": 3}", "seed": "14019489437540943892", "semantic_fingerprint": "sha256:2f358bf261f5b412c2e982ac8f7d472ff08c986765cc13e8ffdd1ea71d87d08e", "generator_version": "3.0"}
{"id": "v3_val_00004380", "prompt": "Solve the equation x + 7 = 5(x + 83) for x.", "solution_steps": ["Expand: x + 7 = 5x + 415", "Subtract 5x from both sides: -4x + 7 = 415", "Subtract 7 from both sides: -4x = 408", "Divide both sides by -4: x = -102"], "final_answer": "-102", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7 = 5(x + 83)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 83}", "seed": "187813622690970631", "semantic_fingerprint": "sha256:470389a3f1e4f24fb7fa11fbc73c7008b2c007880e51430ce32925fde7674a75", "generator_version": "3.0"}
{"id": "v3_val_00004381", "prompt": "Evaluate: -72 / 793 + 59", "solution_steps": ["Divide: -72 / 793 = -72/793", "Add: -72/793 + 59 = 46715/793"], "final_answer": "46715/793", "answer_type": "rational", "kind": "expression", "math_text": "-72 / 793 + 59", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 793, \"c\": 59}", "seed": "9859538269723374058", "semantic_fingerprint": "sha256:e218f5227faacd56aa276ae61d70e763bb97cbffbefbb0f73a86ebc1bed481ce", "generator_version": "3.0"}
{"id": "v3_val_00004382", "prompt": "Calculate: 8 / 545", "solution_steps": ["Divide: 8 / 545 = 8/545"], "final_answer": "8/545", "answer_type": "rational", "kind": "expression", "math_text": "8 / 545", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 545}", "seed": "5129343051906039624", "semantic_fingerprint": "sha256:87c934b4318430f5aedc4fb9af21d5d3eaa5e9943472bde12442cad91ffb9556", "generator_version": "3.0"}
{"id": "v3_val_00004383", "prompt": "Solve the equation -7(x + 77) + 254 = -278 for x.", "solution_steps": ["Expand: -7x - 539 + 254 = -278", "Combine constants: -7x - 285 = -278", "Add 285 to both sides: -7x = 7", "Divide both sides by -7: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 77) + 254 = -278", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 77, \"c\": 254, \"e\": -278, \"x\": -1}", "seed": "7514907259752082896", "semantic_fingerprint": "sha256:2a32e0a3cf576e72e60529abb353a548323cf9305e997084540f0328f83132c6", "generator_version": "3.0"}
{"id": "v3_val_00004384", "prompt": "What is 53 / (-522) - (0 - (-155) - (-820)) / 91?", "solution_steps": ["Divide: 53 / (-522) = -53/522", "Subtract: 0 - (-155) = 155", "Subtract: 155 - (-820) = 975", "Divide: 975 / 91 = 75/7", "Subtract: -53/522 - 75/7 = -39521/3654"], "final_answer": "-39521/3654", "answer_type": "rational", "kind": "expression", "math_text": "53 / (-522) - (0 - (-155) - (-820)) / 91", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (/ (- (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -522, \"c\": 0, \"d\": -155, \"e\": -820, \"f\": 91}", "seed": "5804731852534450147", "semantic_fingerprint": "sha256:d0432a17083d3e187c73b5e2cde33b794957b69b811bc1b6dc6022b05c8054c3", "generator_version": "3.0"}
{"id": "v3_val_00004385", "prompt": "What value of x satisfies 4(x + 75) + 4 = 9(x + 47) + 8?", "solution_steps": ["Expand: 4x + 300 + 4 = 9(x + 47) + 8", "Expand: 4x + 300 + 4 = 9x + 423 + 8", "Combine constants: 4x + 304 = 9x + 423 + 8", "Combine constants: 4x + 304 = 9x + 431", "Subtract 9x from both sides: -5x + 304 = 431", "Subtract 304 from both sides: -5x = 127", "Divide both sides by -5: x = -127/5"], "final_answer": "-127/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 75) + 4 = 9(x + 47) + 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\": 75, \"c\": 4, \"d\": 9, \"e\": 47, \"f\": 8}", "seed": "16257585083329154425", "semantic_fingerprint": "sha256:a9c30a41f99f47507e62cb504f8d917d97c6e4c689d5d5ff7d3d32c6cab3f6c8", "generator_version": "3.0"}
{"id": "v3_val_00004386", "prompt": "Calculate: (1 * 268 + 78) * (52 - (-79))", "solution_steps": ["Multiply: 1 * 268 = 268", "Add: 268 + 78 = 346", "Subtract: 52 - (-79) = 131", "Multiply: 346 * 131 = 45326"], "final_answer": "45326", "answer_type": "integer", "kind": "expression", "math_text": "(1 * 268 + 78) * (52 - (-79))", "variable": null, "family": "expression_4op", "shape": "(* (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 268, \"c\": 78, \"d\": 52, \"e\": -79}", "seed": "9694596605133056927", "semantic_fingerprint": "sha256:6844460a262cc0c9f69b17015d27255da614556df049bf9c14ec888510f5b323", "generator_version": "3.0"}
{"id": "v3_val_00004387", "prompt": "Calculate: 42 / (-4) + (-30)", "solution_steps": ["Divide: 42 / (-4) = -21/2", "Add: -21/2 + (-30) = -81/2"], "final_answer": "-81/2", "answer_type": "rational", "kind": "expression", "math_text": "42 / (-4) + (-30)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -4, \"c\": -30}", "seed": "16300873273517626619", "semantic_fingerprint": "sha256:c471ca15cd1f4c39db86f6847f7267e19f53126ebb42144274b10d1d19bd1634", "generator_version": "3.0"}
{"id": "v3_val_00004388", "prompt": "Calculate: (65 - 2) / 5 + (-7) / 940", "solution_steps": ["Subtract: 65 - 2 = 63", "Divide: 63 / 5 = 63/5", "Divide: -7 / 940 = -7/940", "Add: 63/5 + (-7/940) = 11837/940"], "final_answer": "11837/940", "answer_type": "rational", "kind": "expression", "math_text": "(65 - 2) / 5 + (-7) / 940", "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\": -7, \"e\": 940}", "seed": "10641783195967109295", "semantic_fingerprint": "sha256:d8828afb72a493e069d67994ffcbe426b4c7789d518d986ed2d975f58f4da287", "generator_version": "3.0"}
{"id": "v3_val_00004389", "prompt": "Solve the equation x - 54 = -41 for x.", "solution_steps": ["Add 54 to both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 54 = -41", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"c\": -41, \"x\": 13}", "seed": "1977296231365851044", "semantic_fingerprint": "sha256:a0f6a7271c66e9168820c6507523980e349f7a82ebb96bfd4296c2d52b7023c7", "generator_version": "3.0"}
{"id": "v3_val_00004390", "prompt": "Solve for x: -6x + 14 = 7(x + 74) - 387", "solution_steps": ["Expand: -6x + 14 = 7x + 518 - 387", "Combine constants: -6x + 14 = 7x + 131", "Subtract 7x from both sides: -13x + 14 = 131", "Subtract 14 from both sides: -13x = 117", "Divide both sides by -13: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x + 14 = 7(x + 74) - 387", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 14, \"c\": 7, \"d\": 74, \"f\": -387, \"x\": -9}", "seed": "7888303642777060647", "semantic_fingerprint": "sha256:4208b28681fd907e012e7053dbfffe8e0522cfe0721f3a99c2981c267381e5d5", "generator_version": "3.0"}
{"id": "v3_val_00004391", "prompt": "Find x: -8x - 799 = 12(x - 39) - 7", "solution_steps": ["Expand: -8x - 799 = 12x - 468 - 7", "Combine constants: -8x - 799 = 12x - 475", "Subtract 12x from both sides: -20x - 799 = -475", "Add 799 to both sides: -20x = 324", "Divide both sides by -20: x = -81/5"], "final_answer": "-81/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x - 799 = 12(x - 39) - 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 799, \"c\": 12, \"d\": 39, \"e\": 7}", "seed": "6694769785449744154", "semantic_fingerprint": "sha256:6b7dd698a789342ddafa4377ce8fd74355f3961bcfcb326b985d942a3f7a54b3", "generator_version": "3.0"}
{"id": "v3_val_00004392", "prompt": "Evaluate: 75 * (-62 * 6)", "solution_steps": ["Multiply: -62 * 6 = -372", "Multiply: 75 * (-372) = -27900"], "final_answer": "-27900", "answer_type": "integer", "kind": "expression", "math_text": "75 * (-62 * 6)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -62, \"c\": 6}", "seed": "14524050952947885099", "semantic_fingerprint": "sha256:d87676a384e8fb5ef71eee4d114b3865c3ac81266e6d2e4ee83dc0b485cda958", "generator_version": "3.0"}
{"id": "v3_val_00004393", "prompt": "Compute: -791 / (-16)", "solution_steps": ["Divide: -791 / (-16) = 791/16"], "final_answer": "791/16", "answer_type": "rational", "kind": "expression", "math_text": "-791 / (-16)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -791, \"b\": -16}", "seed": "7762650886225804864", "semantic_fingerprint": "sha256:cd65e767862d4f64c0082ecea2efe68834241b289af97e0a66e7da0615b56d2a", "generator_version": "3.0"}
{"id": "v3_val_00004394", "prompt": "Calculate: 990 + (162 - (-87 + 96 - (-8)))", "solution_steps": ["Add: -87 + 96 = 9", "Subtract: 9 - (-8) = 17", "Subtract: 162 - 17 = 145", "Add: 990 + 145 = 1135"], "final_answer": "1135", "answer_type": "integer", "kind": "expression", "math_text": "990 + (162 - (-87 + 96 - (-8)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (- (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 990, \"b\": 162, \"c\": -87, \"d\": 96, \"e\": -8}", "seed": "3762253219169606220", "semantic_fingerprint": "sha256:888f0501fdf654f0a8cfef1cb082fa00355d4fa05e3415640ffd9f7e3c8940bd", "generator_version": "3.0"}
{"id": "v3_val_00004395", "prompt": "Evaluate: (84 - (-840)) / (-33) * 53", "solution_steps": ["Subtract: 84 - (-840) = 924", "Divide: 924 / (-33) = -28", "Multiply: -28 * 53 = -1484"], "final_answer": "-1484", "answer_type": "integer", "kind": "expression", "math_text": "(84 - (-840)) / (-33) * 53", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -840, \"c\": -33, \"d\": 53}", "seed": "8791286493735229200", "semantic_fingerprint": "sha256:96fbe1b1ae576fce938903e918971c371436fd144b1a81ccc68e6fc0226dbcd2", "generator_version": "3.0"}
{"id": "v3_val_00004396", "prompt": "Calculate: -175 * (-13) * 1 * (-38)", "solution_steps": ["Multiply: -175 * (-13) = 2275", "Multiply: 2275 * 1 = 2275", "Multiply: 2275 * (-38) = -86450"], "final_answer": "-86450", "answer_type": "integer", "kind": "expression", "math_text": "-175 * (-13) * 1 * (-38)", "variable": null, "family": "expression_3op", "shape": "(* (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -175, \"b\": -13, \"c\": 1, \"d\": -38}", "seed": "16646959901233094205", "semantic_fingerprint": "sha256:ed84c5f98568dd4fb5c2a51efd06b4b6b2c03a6defab28bc567ff3237bc514f5", "generator_version": "3.0"}
{"id": "v3_val_00004397", "prompt": "Solve the equation -10x + 4 = x - 1 for x.", "solution_steps": ["Subtract x from both sides: -11x + 4 = -1", "Subtract 4 from both sides: -11x = -5", "Divide both sides by -11: x = 5/11"], "final_answer": "5/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x + 4 = x - 1", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"c\": 1}", "seed": "8966318237036012081", "semantic_fingerprint": "sha256:25606b776996d8f3d59d561899a3f7cdfff40ad621219e63cf19c16e620176a6", "generator_version": "3.0"}
{"id": "v3_val_00004398", "prompt": "Evaluate: -15 + (-37)", "solution_steps": ["Add: -15 + (-37) = -52"], "final_answer": "-52", "answer_type": "integer", "kind": "expression", "math_text": "-15 + (-37)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -37}", "seed": "3843712885106589549", "semantic_fingerprint": "sha256:24eb4764ce3a00d603a9423c7846695a21ff38518f7d2629e6501737d10710d0", "generator_version": "3.0"}
{"id": "v3_val_00004399", "prompt": "Compute: -1 + 48", "solution_steps": ["Add: -1 + 48 = 47"], "final_answer": "47", "answer_type": "integer", "kind": "expression", "math_text": "-1 + 48", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 48}", "seed": "14567260373014650534", "semantic_fingerprint": "sha256:245aaf7f760f8226bb5a94a6f5c3dd39942b619772ea94d952a32a38135bc72f", "generator_version": "3.0"}
{"id": "v3_val_00004400", "prompt": "Compute: (-1 - 5) * 84", "solution_steps": ["Subtract: -1 - 5 = -6", "Multiply: -6 * 84 = -504"], "final_answer": "-504", "answer_type": "integer", "kind": "expression", "math_text": "(-1 - 5) * 84", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 5, \"c\": 84}", "seed": "16124265255698580055", "semantic_fingerprint": "sha256:e8756aef9c14079676265cf9070d5965674c6874c42860e34b340336158efe50", "generator_version": "3.0"}
{"id": "v3_val_00004401", "prompt": "Compute: -90 / (-4 - (-67)) + 7 + 32", "solution_steps": ["Subtract: -4 - (-67) = 63", "Divide: -90 / 63 = -10/7", "Add: -10/7 + 7 = 39/7", "Add: 39/7 + 32 = 263/7"], "final_answer": "263/7", "answer_type": "rational", "kind": "expression", "math_text": "-90 / (-4 - (-67)) + 7 + 32", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -4, \"c\": -67, \"d\": 7, \"e\": 32}", "seed": "6788979398970680038", "semantic_fingerprint": "sha256:bd3e06b6c870212702e6a17f17d9854485706ef0fa553d585f5eab96748ce017", "generator_version": "3.0"}
{"id": "v3_val_00004402", "prompt": "Evaluate: (-68 - (-1) + (-3)) * (-15) + (4 - (-596))", "solution_steps": ["Subtract: -68 - (-1) = -67", "Add: -67 + (-3) = -70", "Multiply: -70 * (-15) = 1050", "Subtract: 4 - (-596) = 600", "Add: 1050 + 600 = 1650"], "final_answer": "1650", "answer_type": "integer", "kind": "expression", "math_text": "(-68 - (-1) + (-3)) * (-15) + (4 - (-596))", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ (- n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -1, \"c\": -3, \"d\": -15, \"e\": 4, \"f\": -596}", "seed": "16055363033331960627", "semantic_fingerprint": "sha256:1c56acef7dd3cd6954bd4f7c9c2836c165caae22dd3d4c8ada7e54eb529d7abd", "generator_version": "3.0"}
{"id": "v3_val_00004403", "prompt": "Evaluate: (-86 - (-5) + (-71)) / (-3 / (-3))", "solution_steps": ["Subtract: -86 - (-5) = -81", "Add: -81 + (-71) = -152", "Divide: -3 / (-3) = 1", "Divide: -152 / 1 = -152"], "final_answer": "-152", "answer_type": "integer", "kind": "expression", "math_text": "(-86 - (-5) + (-71)) / (-3 / (-3))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -5, \"c\": -71, \"d\": -3, \"e\": -3}", "seed": "8590931709174484185", "semantic_fingerprint": "sha256:868a0c4d431a2682afaba1f56be976ecf31fd5a69aa8e288e0aa188008d7a804", "generator_version": "3.0"}
{"id": "v3_val_00004404", "prompt": "Compute: 9 + (92 - 29 / (-2)) / (-25 + 977)", "solution_steps": ["Divide: 29 / (-2) = -29/2", "Subtract: 92 - (-29/2) = 213/2", "Add: -25 + 977 = 952", "Divide: (213/2) / 952 = 213/1904", "Add: 9 + 213/1904 = 17349/1904"], "final_answer": "17349/1904", "answer_type": "rational", "kind": "expression", "math_text": "9 + (92 - 29 / (-2)) / (-25 + 977)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (- n (/ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 92, \"c\": 29, \"d\": -2, \"e\": -25, \"f\": 977}", "seed": "1726203709183904414", "semantic_fingerprint": "sha256:ac034a0ef786019ab23ddc77daa8cb51fba01e4fda18870255721f4c49db86d8", "generator_version": "3.0"}
{"id": "v3_val_00004405", "prompt": "Solve for x: 5x + 5 = -7(x - 654) - 691", "solution_steps": ["Expand: 5x + 5 = -7x + 4578 - 691", "Combine constants: 5x + 5 = -7x + 3887", "Add 7x to both sides: 12x + 5 = 3887", "Subtract 5 from both sides: 12x = 3882", "Divide both sides by 12: x = 647/2"], "final_answer": "647/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x + 5 = -7(x - 654) - 691", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": -7, \"d\": 654, \"e\": 691}", "seed": "5524223311050112813", "semantic_fingerprint": "sha256:cf74095218158d0d136019469fc81d165842176d18cdeac8aedf14367244918a", "generator_version": "3.0"}
{"id": "v3_val_00004406", "prompt": "Evaluate: (46 + 18) * (0 * 4)", "solution_steps": ["Add: 46 + 18 = 64", "Multiply: 0 * 4 = 0", "Multiply: 64 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(46 + 18) * (0 * 4)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 18, \"c\": 0, \"d\": 4}", "seed": "14219031113783214656", "semantic_fingerprint": "sha256:fb63a852598f8f5b4f571c6bd97822b8272f2701f96a74a50811ce6b5104433c", "generator_version": "3.0"}
{"id": "v3_val_00004407", "prompt": "Compute: (0 - 3) / (-4) / 787", "solution_steps": ["Subtract: 0 - 3 = -3", "Divide: -3 / (-4) = 3/4", "Divide: (3/4) / 787 = 3/3148"], "final_answer": "3/3148", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 3) / (-4) / 787", "variable": null, "family": "expression_3op", "shape": "(/ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 3, \"c\": -4, \"d\": 787}", "seed": "16211052049814234416", "semantic_fingerprint": "sha256:11157005b659427409e8c351150fe988d5258faee852ed7841eb85f8e000eba6", "generator_version": "3.0"}
{"id": "v3_val_00004408", "prompt": "What value of x satisfies -6(x + 94) - 46 = 5(x - 47) - 485?", "solution_steps": ["Expand: -6x - 564 - 46 = 5(x - 47) - 485", "Expand: -6x - 564 - 46 = 5x - 235 - 485", "Combine constants: -6x - 610 = 5x - 235 - 485", "Combine constants: -6x - 610 = 5x - 720", "Subtract 5x from both sides: -11x - 610 = -720", "Add 610 to both sides: -11x = -110", "Divide both sides by -11: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 94) - 46 = 5(x - 47) - 485", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 94, \"c\": 46, \"d\": 5, \"e\": 47, \"g\": -485, \"x\": 10}", "seed": "14412681082152543631", "semantic_fingerprint": "sha256:0daacbadec2e55ee654fc7797f5a49620fae100c33465fe8707f515685116f96", "generator_version": "3.0"}
{"id": "v3_val_00004409", "prompt": "Solve for x: x - 105 = -6x", "solution_steps": ["Add 6x to both sides: 7x - 105 = 0", "Add 105 to both sides: 7x = 105", "Divide both sides by 7: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 105 = -6x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"c\": -105, \"x\": 15}", "seed": "16549337594253630749", "semantic_fingerprint": "sha256:3bcf250ba2ad61bbce85ab4dcf138c392d5cfba48c338886eabb8e79265adefe", "generator_version": "3.0"}
{"id": "v3_val_00004410", "prompt": "Solve the equation 6(x - 85) - 64 = x for x.", "solution_steps": ["Expand: 6x - 510 - 64 = x", "Combine constants: 6x - 574 = x", "Subtract x from both sides: 5x - 574 = 0", "Add 574 to both sides: 5x = 574", "Divide both sides by 5: x = 574/5"], "final_answer": "574/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 85) - 64 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 85, \"c\": 64}", "seed": "16371353567556235857", "semantic_fingerprint": "sha256:bf491cd2e6f876f04d4f39c121bdddcabb95a0d7228302a96b69cb583c0e13b9", "generator_version": "3.0"}
{"id": "v3_val_00004411", "prompt": "Compute: 9 * (-34 + (-4))", "solution_steps": ["Add: -34 + (-4) = -38", "Multiply: 9 * (-38) = -342"], "final_answer": "-342", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-34 + (-4))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -34, \"c\": -4}", "seed": "10832137015683078498", "semantic_fingerprint": "sha256:96a685af3e0a337722841d49cb48bd9c7c1d6bb951cdd2c12f003234e442b642", "generator_version": "3.0"}
{"id": "v3_val_00004412", "prompt": "Solve for x: 3(x + 47) = 8(x - 9)", "solution_steps": ["Expand: 3x + 141 = 8(x - 9)", "Expand: 3x + 141 = 8x - 72", "Subtract 8x from both sides: -5x + 141 = -72", "Subtract 141 from both sides: -5x = -213", "Divide both sides by -5: x = 213/5"], "final_answer": "213/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 47) = 8(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 47, \"c\": 8, \"d\": 9}", "seed": "9806815930901388014", "semantic_fingerprint": "sha256:7eea7b02a982ab102507c43f66d8630b006f9860fff538cbea18f62df8b8c670", "generator_version": "3.0"}
{"id": "v3_val_00004413", "prompt": "What value of x satisfies 7x + 80 = -10(x + 309) + 11?", "solution_steps": ["Expand: 7x + 80 = -10x - 3090 + 11", "Combine constants: 7x + 80 = -10x - 3079", "Add 10x to both sides: 17x + 80 = -3079", "Subtract 80 from both sides: 17x = -3159", "Divide both sides by 17: x = -3159/17"], "final_answer": "-3159/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 80 = -10(x + 309) + 11", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 80, \"c\": -10, \"d\": 309, \"e\": 11}", "seed": "12664736646066979729", "semantic_fingerprint": "sha256:5d26bcc004041a7c71fc92c7e51836d82c1c8d1513d85d3da609511ce4f5a4d4", "generator_version": "3.0"}
{"id": "v3_val_00004414", "prompt": "Solve the equation x - 37 = 10(x + 7) - 170 for x.", "solution_steps": ["Expand: x - 37 = 10x + 70 - 170", "Combine constants: x - 37 = 10x - 100", "Subtract 10x from both sides: -9x - 37 = -100", "Add 37 to both sides: -9x = -63", "Divide both sides by -9: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 37 = 10(x + 7) - 170", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 10, \"c\": 7, \"e\": -170, \"x\": 7}", "seed": "3841783601155898126", "semantic_fingerprint": "sha256:d23e3133924121fcb04262646090f3cc0d1d1eb561a34fc21502337ca7b62574", "generator_version": "3.0"}
{"id": "v3_val_00004415", "prompt": "Evaluate: -21 * (-939) / 47", "solution_steps": ["Multiply: -21 * (-939) = 19719", "Divide: 19719 / 47 = 19719/47"], "final_answer": "19719/47", "answer_type": "rational", "kind": "expression", "math_text": "-21 * (-939) / 47", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -939, \"c\": 47}", "seed": "4205505307194637029", "semantic_fingerprint": "sha256:725501523e4f9889077bc35b705a6e56b8b76a683f38479ce9b9fec91aad363e", "generator_version": "3.0"}
{"id": "v3_val_00004416", "prompt": "Compute: 2 * 0 - (-52 + 9)", "solution_steps": ["Multiply: 2 * 0 = 0", "Add: -52 + 9 = -43", "Subtract: 0 - (-43) = 43"], "final_answer": "43", "answer_type": "integer", "kind": "expression", "math_text": "2 * 0 - (-52 + 9)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": -52, \"d\": 9}", "seed": "11283661668041342335", "semantic_fingerprint": "sha256:f70bb6d9b72ccc4151891047a472e2ddbf146d25d5fb3eca66491dcdbca090f2", "generator_version": "3.0"}
{"id": "v3_val_00004417", "prompt": "What is -71 + (491 + (-8)) * (-1)?", "solution_steps": ["Add: 491 + (-8) = 483", "Multiply: 483 * (-1) = -483", "Add: -71 + (-483) = -554"], "final_answer": "-554", "answer_type": "integer", "kind": "expression", "math_text": "-71 + (491 + (-8)) * (-1)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 491, \"c\": -8, \"d\": -1}", "seed": "15541464683320600227", "semantic_fingerprint": "sha256:9bc06cb29734e7958ab54ff0676f5872066d6bbc1afa038518189999c33f57f7", "generator_version": "3.0"}
{"id": "v3_val_00004418", "prompt": "What value of x satisfies 6(x - 8) = -8(x + 95) + 978?", "solution_steps": ["Expand: 6x - 48 = -8(x + 95) + 978", "Expand: 6x - 48 = -8x - 760 + 978", "Combine constants: 6x - 48 = -8x + 218", "Add 8x to both sides: 14x - 48 = 218", "Add 48 to both sides: 14x = 266", "Divide both sides by 14: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 8) = -8(x + 95) + 978", "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\": -8, \"d\": 95, \"f\": 978, \"x\": 19}", "seed": "642780938880308971", "semantic_fingerprint": "sha256:dc27f44d91eec6ae0c0f23855682adfed1db1971aaa093248b395114b4a2d1ab", "generator_version": "3.0"}
{"id": "v3_val_00004419", "prompt": "Calculate: -8 - (-58)", "solution_steps": ["Subtract: -8 - (-58) = 50"], "final_answer": "50", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-58)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -58}", "seed": "16750553454855904105", "semantic_fingerprint": "sha256:d20d2b1fb86207fff1b9bb72e51a105883e4eae140b4e5b123d421e43e7dbf08", "generator_version": "3.0"}
{"id": "v3_val_00004420", "prompt": "What is -1 * (-5) - (-15 - (-54) * (7 - (-57)))?", "solution_steps": ["Multiply: -1 * (-5) = 5", "Subtract: 7 - (-57) = 64", "Multiply: -54 * 64 = -3456", "Subtract: -15 - (-3456) = 3441", "Subtract: 5 - 3441 = -3436"], "final_answer": "-3436", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-5) - (-15 - (-54) * (7 - (-57)))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- n (* n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -5, \"c\": -15, \"d\": -54, \"e\": 7, \"f\": -57}", "seed": "10072400752828175455", "semantic_fingerprint": "sha256:b0f13874360fec31ddbe6b10cce2ea77923fc47f09a6582d91aae4307fa1cd28", "generator_version": "3.0"}
{"id": "v3_val_00004421", "prompt": "Solve the equation -8(x - 81) - 330 = 10x + 246 for x.", "solution_steps": ["Expand: -8x + 648 - 330 = 10x + 246", "Combine constants: -8x + 318 = 10x + 246", "Subtract 10x from both sides: -18x + 318 = 246", "Subtract 318 from both sides: -18x = -72", "Divide both sides by -18: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 81) - 330 = 10x + 246", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 81, \"c\": 330, \"d\": 10, \"f\": 246, \"x\": 4}", "seed": "15937224783182681738", "semantic_fingerprint": "sha256:a3fb89db8869f05cf5bc76b33729bad1bb640203daa21c417a2388595f0abeaf", "generator_version": "3.0"}
{"id": "v3_val_00004422", "prompt": "What value of x satisfies -11x - 9 = 6(x + 6) - 28?", "solution_steps": ["Expand: -11x - 9 = 6x + 36 - 28", "Combine constants: -11x - 9 = 6x + 8", "Subtract 6x from both sides: -17x - 9 = 8", "Add 9 to both sides: -17x = 17", "Divide both sides by -17: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 9 = 6(x + 6) - 28", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 9, \"c\": 6, \"d\": 6, \"f\": -28, \"x\": -1}", "seed": "18186118163751941389", "semantic_fingerprint": "sha256:6215da7b1b8b5950a48574e74520629b3404316aaab2f59aa4ba9633a5a79c62", "generator_version": "3.0"}
{"id": "v3_val_00004423", "prompt": "Calculate: 70 - 27", "solution_steps": ["Subtract: 70 - 27 = 43"], "final_answer": "43", "answer_type": "integer", "kind": "expression", "math_text": "70 - 27", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 27}", "seed": "15880728319271900268", "semantic_fingerprint": "sha256:01f09084312ece1121f4d8838d2c18cfc58be200a5d5b2b96c7d5a3ea909ee52", "generator_version": "3.0"}
{"id": "v3_val_00004424", "prompt": "What is (27 / (8 + (-6)) - 15) * (-4)?", "solution_steps": ["Add: 8 + (-6) = 2", "Divide: 27 / 2 = 27/2", "Subtract: 27/2 - 15 = -3/2", "Multiply: (-3/2) * (-4) = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "(27 / (8 + (-6)) - 15) * (-4)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 8, \"c\": -6, \"d\": 15, \"e\": -4}", "seed": "16904344557130650449", "semantic_fingerprint": "sha256:f6d97143b980d1c6485e39170d50719c4c0e2516ec66c01a99ea5c025b30b79f", "generator_version": "3.0"}
{"id": "v3_val_00004425", "prompt": "Calculate: 65 / (-6) - (-52 - (7 - (-4)))", "solution_steps": ["Divide: 65 / (-6) = -65/6", "Subtract: 7 - (-4) = 11", "Subtract: -52 - 11 = -63", "Subtract: -65/6 - (-63) = 313/6"], "final_answer": "313/6", "answer_type": "rational", "kind": "expression", "math_text": "65 / (-6) - (-52 - (7 - (-4)))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -6, \"c\": -52, \"d\": 7, \"e\": -4}", "seed": "17908113519514940780", "semantic_fingerprint": "sha256:346334d775b56b8a8ca1c68fd1ddf7b02236a932a6269f795215433bea583f02", "generator_version": "3.0"}
{"id": "v3_val_00004426", "prompt": "What is -136 / (-26 + 2 * (7 * (-2) / 43))?", "solution_steps": ["Multiply: 7 * (-2) = -14", "Divide: -14 / 43 = -14/43", "Multiply: 2 * (-14/43) = -28/43", "Add: -26 + (-28/43) = -1146/43", "Divide: -136 / (-1146/43) = 2924/573"], "final_answer": "2924/573", "answer_type": "rational", "kind": "expression", "math_text": "-136 / (-26 + 2 * (7 * (-2) / 43))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ n (* n (/ (* n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -136, \"b\": -26, \"c\": 2, \"d\": 7, \"e\": -2, \"f\": 43}", "seed": "17060205620084129543", "semantic_fingerprint": "sha256:00627abdc90715837408b7795124ac9a53e2f7b6ee68612ae87093bd5c081f70", "generator_version": "3.0"}
{"id": "v3_val_00004427", "prompt": "Evaluate: (-13 - 8) / (-9)", "solution_steps": ["Subtract: -13 - 8 = -21", "Divide: -21 / (-9) = 7/3"], "final_answer": "7/3", "answer_type": "rational", "kind": "expression", "math_text": "(-13 - 8) / (-9)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 8, \"c\": -9}", "seed": "4497982773168934096", "semantic_fingerprint": "sha256:36a550a9b88782a7d57e85e00e9dac657c9df1bc7b764dc405c127872a6eae8c", "generator_version": "3.0"}
{"id": "v3_val_00004428", "prompt": "Compute: -4 / 3 + 1", "solution_steps": ["Divide: -4 / 3 = -4/3", "Add: -4/3 + 1 = -1/3"], "final_answer": "-1/3", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 3 + 1", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 1}", "seed": "13698380062467433367", "semantic_fingerprint": "sha256:f8f289ff6ca3487c8366131e2da0175cd80d99826ce3f8c464331b728c59d1a6", "generator_version": "3.0"}
{"id": "v3_val_00004429", "prompt": "Find x: x - 94 = 7(x + 9) - 1", "solution_steps": ["Expand: x - 94 = 7x + 63 - 1", "Combine constants: x - 94 = 7x + 62", "Subtract 7x from both sides: -6x - 94 = 62", "Add 94 to both sides: -6x = 156", "Divide both sides by -6: x = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 94 = 7(x + 9) - 1", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 7, \"c\": 9, \"d\": 1}", "seed": "4423806484621307082", "semantic_fingerprint": "sha256:df2a0eb4854e1d7a1c5ec8601a844dd6c73535065aff94561014063d5c811841", "generator_version": "3.0"}
{"id": "v3_val_00004430", "prompt": "Compute: -59 - 609 / 4", "solution_steps": ["Divide: 609 / 4 = 609/4", "Subtract: -59 - 609/4 = -845/4"], "final_answer": "-845/4", "answer_type": "rational", "kind": "expression", "math_text": "-59 - 609 / 4", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 609, \"c\": 4}", "seed": "3277918487922037094", "semantic_fingerprint": "sha256:1e9a0e19076165f6a84a7f13ab391af96047208dae2683d476119145dc2bc180", "generator_version": "3.0"}
{"id": "v3_val_00004431", "prompt": "Compute: 750 - (-17 - (-40) / 38 * (-68))", "solution_steps": ["Divide: -40 / 38 = -20/19", "Multiply: (-20/19) * (-68) = 1360/19", "Subtract: -17 - 1360/19 = -1683/19", "Subtract: 750 - (-1683/19) = 15933/19"], "final_answer": "15933/19", "answer_type": "rational", "kind": "expression", "math_text": "750 - (-17 - (-40) / 38 * (-68))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 750, \"b\": -17, \"c\": -40, \"d\": 38, \"e\": -68}", "seed": "14604354948923213165", "semantic_fingerprint": "sha256:910c7260913e46213aba7f342691ebf6b109493fb6792155600f85dcf370445e", "generator_version": "3.0"}
{"id": "v3_val_00004432", "prompt": "Calculate: 0 - 898 + (205 - 9)", "solution_steps": ["Subtract: 0 - 898 = -898", "Subtract: 205 - 9 = 196", "Add: -898 + 196 = -702"], "final_answer": "-702", "answer_type": "integer", "kind": "expression", "math_text": "0 - 898 + (205 - 9)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 898, \"c\": 205, \"d\": 9}", "seed": "16220871274879389574", "semantic_fingerprint": "sha256:869762848f06f46c7581952bab1fe5ec16d3af5a92e29941574a48f0616df362", "generator_version": "3.0"}
{"id": "v3_val_00004433", "prompt": "Calculate: 1 * (-42) * 47", "solution_steps": ["Multiply: 1 * (-42) = -42", "Multiply: -42 * 47 = -1974"], "final_answer": "-1974", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-42) * 47", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -42, \"c\": 47}", "seed": "15985486511974242506", "semantic_fingerprint": "sha256:1fe55d599c548a57e1fed7c19a7d9da5d0f3a500f32c164d79e0a8843f229b81", "generator_version": "3.0"}
{"id": "v3_val_00004434", "prompt": "Find x: -4x + 404 = 4(x + 63)", "solution_steps": ["Expand: -4x + 404 = 4x + 252", "Subtract 4x from both sides: -8x + 404 = 252", "Subtract 404 from both sides: -8x = -152", "Divide both sides by -8: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 404 = 4(x + 63)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 63, \"e\": 404, \"x\": 19}", "seed": "15403264609489875337", "semantic_fingerprint": "sha256:5afde5f43896bb1da146afb38569f2213cbae8a3ce02f23a110392c9f226f81a", "generator_version": "3.0"}
{"id": "v3_val_00004435", "prompt": "Calculate: 79 * (7 - 90) - 34", "solution_steps": ["Subtract: 7 - 90 = -83", "Multiply: 79 * (-83) = -6557", "Subtract: -6557 - 34 = -6591"], "final_answer": "-6591", "answer_type": "integer", "kind": "expression", "math_text": "79 * (7 - 90) - 34", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 7, \"c\": 90, \"d\": 34}", "seed": "14664690229579486435", "semantic_fingerprint": "sha256:966dfa55d7349c1967e22bea723e6ba6e22a802ad80146ec452347c5bb474329", "generator_version": "3.0"}
{"id": "v3_val_00004436", "prompt": "Calculate: (-2 + (-8)) * (-39 / (-905))", "solution_steps": ["Add: -2 + (-8) = -10", "Divide: -39 / (-905) = 39/905", "Multiply: -10 * (39/905) = -78/181"], "final_answer": "-78/181", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + (-8)) * (-39 / (-905))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -8, \"c\": -39, \"d\": -905}", "seed": "10577674159357944822", "semantic_fingerprint": "sha256:26b419a192ca084fabccd8fc7ba35e16e36e21743337a83ee0b9873d71adf93d", "generator_version": "3.0"}
{"id": "v3_val_00004437", "prompt": "Evaluate: 85 * (-17) - (-2) / 6 + 1", "solution_steps": ["Multiply: 85 * (-17) = -1445", "Divide: -2 / 6 = -1/3", "Subtract: -1445 - (-1/3) = -4334/3", "Add: -4334/3 + 1 = -4331/3"], "final_answer": "-4331/3", "answer_type": "rational", "kind": "expression", "math_text": "85 * (-17) - (-2) / 6 + 1", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -17, \"c\": -2, \"d\": 6, \"e\": 1}", "seed": "9795308541121246908", "semantic_fingerprint": "sha256:dffc33fb677717773e2ed3ead22ee31713be2b2a7a72534a5c7956abde13ed93", "generator_version": "3.0"}
{"id": "v3_val_00004438", "prompt": "Solve the equation 9(x + 9) - 947 = 5(x + 5) + 9 for x.", "solution_steps": ["Expand: 9x + 81 - 947 = 5(x + 5) + 9", "Expand: 9x + 81 - 947 = 5x + 25 + 9", "Combine constants: 9x - 866 = 5x + 25 + 9", "Combine constants: 9x - 866 = 5x + 34", "Subtract 5x from both sides: 4x - 866 = 34", "Add 866 to both sides: 4x = 900", "Divide both sides by 4: x = 225"], "final_answer": "225", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 9) - 947 = 5(x + 5) + 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\": 9, \"c\": 947, \"d\": 5, \"e\": 5, \"f\": 9}", "seed": "4333407342102627551", "semantic_fingerprint": "sha256:2f1001f45a008b6845f0378a437287d7d2580319a57e136c3950f6722ed854e3", "generator_version": "3.0"}
{"id": "v3_val_00004439", "prompt": "Evaluate: 6 * (-10)", "solution_steps": ["Multiply: 6 * (-10) = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-10)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -10}", "seed": "11043630290538395186", "semantic_fingerprint": "sha256:76386bc18e959932ad5dd5f3b3a37e18a6d15ed771ffa36b90acc205b48f2a81", "generator_version": "3.0"}
{"id": "v3_val_00004440", "prompt": "Calculate: (-65 - (-44)) * (-45)", "solution_steps": ["Subtract: -65 - (-44) = -21", "Multiply: -21 * (-45) = 945"], "final_answer": "945", "answer_type": "integer", "kind": "expression", "math_text": "(-65 - (-44)) * (-45)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -44, \"c\": -45}", "seed": "5040258206232836780", "semantic_fingerprint": "sha256:a7830d9e9a8b47a4129feb437f7ff05a690f0ef789e1fdf5fda264c7581af84b", "generator_version": "3.0"}
{"id": "v3_val_00004441", "prompt": "Solve for x: 5x + 8 = -10(x - 59) - 643", "solution_steps": ["Expand: 5x + 8 = -10x + 590 - 643", "Combine constants: 5x + 8 = -10x - 53", "Add 10x to both sides: 15x + 8 = -53", "Subtract 8 from both sides: 15x = -61", "Divide both sides by 15: x = -61/15"], "final_answer": "-61/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x + 8 = -10(x - 59) - 643", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": -10, \"d\": 59, \"e\": 643}", "seed": "8999867417298179078", "semantic_fingerprint": "sha256:2988c8502d6298d7794972f013ee6065ae2ce0d6fdc1645e93b038d171562049", "generator_version": "3.0"}
{"id": "v3_val_00004442", "prompt": "Find x: -2(x - 39) - 9 = 97", "solution_steps": ["Expand: -2x + 78 - 9 = 97", "Combine constants: -2x + 69 = 97", "Subtract 69 from both sides: -2x = 28", "Divide both sides by -2: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 39) - 9 = 97", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 39, \"c\": 9, \"e\": 97, \"x\": -14}", "seed": "12470503201275106355", "semantic_fingerprint": "sha256:18f1bf08a64e5357a448b43e78453ded64704de4de5501788111b8b7f3ee7729", "generator_version": "3.0"}
{"id": "v3_val_00004443", "prompt": "Compute: 8 + (-5) + 8 / (-9)", "solution_steps": ["Add: 8 + (-5) = 3", "Divide: 8 / (-9) = -8/9", "Add: 3 + (-8/9) = 19/9"], "final_answer": "19/9", "answer_type": "rational", "kind": "expression", "math_text": "8 + (-5) + 8 / (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -5, \"c\": 8, \"d\": -9}", "seed": "14959193156254346469", "semantic_fingerprint": "sha256:2881054b32c0cc1330544aaa8e9e9fcc4c498c0108a29c2fb9340cddceaa7eaa", "generator_version": "3.0"}
{"id": "v3_val_00004444", "prompt": "What is (0 - 53) / (-18) / 54?", "solution_steps": ["Subtract: 0 - 53 = -53", "Divide: -53 / (-18) = 53/18", "Divide: (53/18) / 54 = 53/972"], "final_answer": "53/972", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 53) / (-18) / 54", "variable": null, "family": "expression_3op", "shape": "(/ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 53, \"c\": -18, \"d\": 54}", "seed": "8336527616042349106", "semantic_fingerprint": "sha256:487f9cdffceb2c427b85a369b28fe8ca9aa9dd5c354ae001f4bfc55cd97c5a78", "generator_version": "3.0"}
{"id": "v3_val_00004445", "prompt": "What value of x satisfies 9x + 2 = -7x - 222?", "solution_steps": ["Add 7x to both sides: 16x + 2 = -222", "Subtract 2 from both sides: 16x = -224", "Divide both sides by 16: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 2 = -7x - 222", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": -7, \"e\": -222, \"x\": -14}", "seed": "13935266575714162016", "semantic_fingerprint": "sha256:ec2698f0250782e2a5d0571373ec0af95207c966777adf952c0db66471056480", "generator_version": "3.0"}
{"id": "v3_val_00004446", "prompt": "What is -9 * (-54) - (-62)?", "solution_steps": ["Multiply: -9 * (-54) = 486", "Subtract: 486 - (-62) = 548"], "final_answer": "548", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-54) - (-62)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -54, \"c\": -62}", "seed": "10833300942378198659", "semantic_fingerprint": "sha256:281ecea9a62211bfbd809c3a6cfdc1f8da34777079bee1094a814e32ffd77ec2", "generator_version": "3.0"}
{"id": "v3_val_00004447", "prompt": "What is 4 + 756 - (52 + (-91 + 1 - (-180)))?", "solution_steps": ["Add: 4 + 756 = 760", "Add: -91 + 1 = -90", "Subtract: -90 - (-180) = 90", "Add: 52 + 90 = 142", "Subtract: 760 - 142 = 618"], "final_answer": "618", "answer_type": "integer", "kind": "expression", "math_text": "4 + 756 - (52 + (-91 + 1 - (-180)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ n (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 756, \"c\": 52, \"d\": -91, \"e\": 1, \"f\": -180}", "seed": "12565146923778716731", "semantic_fingerprint": "sha256:0105c8bbe03c37aa05f8eb22bd25722a496769499b7dad8654aea5065b99fe8e", "generator_version": "3.0"}
{"id": "v3_val_00004448", "prompt": "What is -5 * 423?", "solution_steps": ["Multiply: -5 * 423 = -2115"], "final_answer": "-2115", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 423", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 423}", "seed": "9856783067757108561", "semantic_fingerprint": "sha256:1b976ffe7326f2e6aee9f591b804bdc414d4fce872a4043d99e1c29c2e8f1a69", "generator_version": "3.0"}
{"id": "v3_val_00004449", "prompt": "Evaluate: -801 - 30", "solution_steps": ["Subtract: -801 - 30 = -831"], "final_answer": "-831", "answer_type": "integer", "kind": "expression", "math_text": "-801 - 30", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -801, \"b\": 30}", "seed": "15574484117720066891", "semantic_fingerprint": "sha256:93d82ecf48262534867aab76c629fcb4e66795e9de0abc2fad21637c4c6f2d15", "generator_version": "3.0"}
{"id": "v3_val_00004450", "prompt": "Solve the equation 11(x + 27) = x for x.", "solution_steps": ["Expand: 11x + 297 = x", "Subtract x from both sides: 10x + 297 = 0", "Subtract 297 from both sides: 10x = -297", "Divide both sides by 10: x = -297/10"], "final_answer": "-297/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 27) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 27}", "seed": "6369466121760723899", "semantic_fingerprint": "sha256:5cfac0a590898096a55edf9abc9388f61d2e86416a0cbd4a60723e017b5b2152", "generator_version": "3.0"}
{"id": "v3_val_00004451", "prompt": "What is -893 - (-6 * (-31) / (-8) - 559) - 99?", "solution_steps": ["Multiply: -6 * (-31) = 186", "Divide: 186 / (-8) = -93/4", "Subtract: -93/4 - 559 = -2329/4", "Subtract: -893 - (-2329/4) = -1243/4", "Subtract: -1243/4 - 99 = -1639/4"], "final_answer": "-1639/4", "answer_type": "rational", "kind": "expression", "math_text": "-893 - (-6 * (-31) / (-8) - 559) - 99", "variable": null, "family": "expression_5op", "shape": "(- (- n (- (/ (* n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -893, \"b\": -6, \"c\": -31, \"d\": -8, \"e\": 559, \"f\": 99}", "seed": "17102055780864143026", "semantic_fingerprint": "sha256:4e93b8bf6965e4142e433d3d69bf793b0a6e27b8c558a9a21fc2d83b204c246c", "generator_version": "3.0"}
{"id": "v3_val_00004452", "prompt": "What value of x satisfies -5x = 10x + 270?", "solution_steps": ["Subtract 10x from both sides: -15x = 270", "Divide both sides by -15: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 10x + 270", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 10, \"d\": 270, \"x\": -18}", "seed": "15257315546900188520", "semantic_fingerprint": "sha256:4340628c8ca7fdeb177154ce4f1ae68a85f64b8a92ae8e8892cd4ed9e18b5715", "generator_version": "3.0"}
{"id": "v3_val_00004453", "prompt": "Calculate: 87 + (5 * 263 - (-37 - (-37)))", "solution_steps": ["Multiply: 5 * 263 = 1315", "Subtract: -37 - (-37) = 0", "Subtract: 1315 - 0 = 1315", "Add: 87 + 1315 = 1402"], "final_answer": "1402", "answer_type": "integer", "kind": "expression", "math_text": "87 + (5 * 263 - (-37 - (-37)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 5, \"c\": 263, \"d\": -37, \"e\": -37}", "seed": "14791619308269676495", "semantic_fingerprint": "sha256:8ba80523b0a0ea44dcb43b8e42ee0231817697290c2c7b019e8d9dec9773a5bc", "generator_version": "3.0"}
{"id": "v3_val_00004454", "prompt": "Evaluate: 8 / (-3)", "solution_steps": ["Divide: 8 / (-3) = -8/3"], "final_answer": "-8/3", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-3)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -3}", "seed": "11360869656340375648", "semantic_fingerprint": "sha256:b22f8fffd20bfb3cf3a61f95aeabbeaacf2e203d470f780c427208adefc28770", "generator_version": "3.0"}
{"id": "v3_val_00004455", "prompt": "Evaluate: 55 * (-852 / (-5) - 99)", "solution_steps": ["Divide: -852 / (-5) = 852/5", "Subtract: 852/5 - 99 = 357/5", "Multiply: 55 * (357/5) = 3927"], "final_answer": "3927", "answer_type": "integer", "kind": "expression", "math_text": "55 * (-852 / (-5) - 99)", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -852, \"c\": -5, \"d\": 99}", "seed": "5700232448727779095", "semantic_fingerprint": "sha256:b696e07b6c218d3bedcdf6dfc008d02559cdc88d55c313a0eff366736c0d3077", "generator_version": "3.0"}
{"id": "v3_val_00004456", "prompt": "Evaluate: 7 / (-40 * (-21)) * (-12) * 771", "solution_steps": ["Multiply: -40 * (-21) = 840", "Divide: 7 / 840 = 1/120", "Multiply: (1/120) * (-12) = -1/10", "Multiply: (-1/10) * 771 = -771/10"], "final_answer": "-771/10", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-40 * (-21)) * (-12) * 771", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -40, \"c\": -21, \"d\": -12, \"e\": 771}", "seed": "3683070768167691231", "semantic_fingerprint": "sha256:b77396008c4253ff4d13c1a7056dae8ad58133aba4d4c507c01a58546e6ed1e6", "generator_version": "3.0"}
{"id": "v3_val_00004457", "prompt": "Evaluate: (-56 - 91) / (-87) + 960 * (-8)", "solution_steps": ["Subtract: -56 - 91 = -147", "Divide: -147 / (-87) = 49/29", "Multiply: 960 * (-8) = -7680", "Add: 49/29 + (-7680) = -222671/29"], "final_answer": "-222671/29", "answer_type": "rational", "kind": "expression", "math_text": "(-56 - 91) / (-87) + 960 * (-8)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 91, \"c\": -87, \"d\": 960, \"e\": -8}", "seed": "1512023546648635964", "semantic_fingerprint": "sha256:af840cbad4630bac81bdee0efd3a711763c4f15e5387407865b9060229b32662", "generator_version": "3.0"}
{"id": "v3_val_00004458", "prompt": "Calculate: (-12 + (-536)) * (-43 / (-690) - (-1))", "solution_steps": ["Add: -12 + (-536) = -548", "Divide: -43 / (-690) = 43/690", "Subtract: 43/690 - (-1) = 733/690", "Multiply: -548 * (733/690) = -200842/345"], "final_answer": "-200842/345", "answer_type": "rational", "kind": "expression", "math_text": "(-12 + (-536)) * (-43 / (-690) - (-1))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -536, \"c\": -43, \"d\": -690, \"e\": -1}", "seed": "2636868966126603230", "semantic_fingerprint": "sha256:575f6723339f9faa19dbf4a45116b777d8d3a14f65741b34b52698c24074b262", "generator_version": "3.0"}
{"id": "v3_val_00004459", "prompt": "Calculate: -92 * (-130) / 8 - 759 * (-302)", "solution_steps": ["Multiply: -92 * (-130) = 11960", "Divide: 11960 / 8 = 1495", "Multiply: 759 * (-302) = -229218", "Subtract: 1495 - (-229218) = 230713"], "final_answer": "230713", "answer_type": "integer", "kind": "expression", "math_text": "-92 * (-130) / 8 - 759 * (-302)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -130, \"c\": 8, \"d\": 759, \"e\": -302}", "seed": "12239062407173346148", "semantic_fingerprint": "sha256:c407143ab4299d9b58530dc00d9dceec09c374e2e576d4b80b238b0705b29b4a", "generator_version": "3.0"}
{"id": "v3_val_00004460", "prompt": "Compute: -56 * (-691)", "solution_steps": ["Multiply: -56 * (-691) = 38696"], "final_answer": "38696", "answer_type": "integer", "kind": "expression", "math_text": "-56 * (-691)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -691}", "seed": "2171682626428688339", "semantic_fingerprint": "sha256:fe097da8b5e200048c7cd47042bfc23460ef932eaea21193177b2e0537a87fb6", "generator_version": "3.0"}
{"id": "v3_val_00004461", "prompt": "Find x: 6x = -11x - 306", "solution_steps": ["Add 11x to both sides: 17x = -306", "Divide both sides by 17: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = -11x - 306", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -11, \"d\": -306, \"x\": -18}", "seed": "4986698460956032665", "semantic_fingerprint": "sha256:960336c071ed4659901f7fd3692c53e517fe9b72a10342fdcb2a8c97ea11f6a4", "generator_version": "3.0"}
{"id": "v3_val_00004462", "prompt": "Calculate: (333 * (-39) + (-1)) / (7 * (-7))", "solution_steps": ["Multiply: 333 * (-39) = -12987", "Add: -12987 + (-1) = -12988", "Multiply: 7 * (-7) = -49", "Divide: -12988 / (-49) = 12988/49"], "final_answer": "12988/49", "answer_type": "rational", "kind": "expression", "math_text": "(333 * (-39) + (-1)) / (7 * (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 333, \"b\": -39, \"c\": -1, \"d\": 7, \"e\": -7}", "seed": "16917117624291386868", "semantic_fingerprint": "sha256:0359dd3ee90df0738ca95afd353a64a5d62fd01d4526a094c1194e6f174e44eb", "generator_version": "3.0"}
{"id": "v3_val_00004463", "prompt": "Compute: -84 / (-19) + (-85)", "solution_steps": ["Divide: -84 / (-19) = 84/19", "Add: 84/19 + (-85) = -1531/19"], "final_answer": "-1531/19", "answer_type": "rational", "kind": "expression", "math_text": "-84 / (-19) + (-85)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -19, \"c\": -85}", "seed": "4182120464087810564", "semantic_fingerprint": "sha256:8002e3af0d94b0dc00a82799328f2855a3d465fbb27cfbec4cd8f23039f59879", "generator_version": "3.0"}
{"id": "v3_val_00004464", "prompt": "Compute: -32 * ((46 - (-60)) / (-2 / 12 * (-5)))", "solution_steps": ["Subtract: 46 - (-60) = 106", "Divide: -2 / 12 = -1/6", "Multiply: (-1/6) * (-5) = 5/6", "Divide: 106 / (5/6) = 636/5", "Multiply: -32 * (636/5) = -20352/5"], "final_answer": "-20352/5", "answer_type": "rational", "kind": "expression", "math_text": "-32 * ((46 - (-60)) / (-2 / 12 * (-5)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (- n n) (* (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 46, \"c\": -60, \"d\": -2, \"e\": 12, \"f\": -5}", "seed": "14155136896371825857", "semantic_fingerprint": "sha256:d3833a2a38c98e473ba8ba33dfd69cc650a03425992c2a7316a3e5f7fb4b102a", "generator_version": "3.0"}
{"id": "v3_val_00004465", "prompt": "Evaluate: (-57 - (35 + 5)) * (36 / (31 * 9))", "solution_steps": ["Add: 35 + 5 = 40", "Subtract: -57 - 40 = -97", "Multiply: 31 * 9 = 279", "Divide: 36 / 279 = 4/31", "Multiply: -97 * (4/31) = -388/31"], "final_answer": "-388/31", "answer_type": "rational", "kind": "expression", "math_text": "(-57 - (35 + 5)) * (36 / (31 * 9))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 35, \"c\": 5, \"d\": 36, \"e\": 31, \"f\": 9}", "seed": "3969361823017866205", "semantic_fingerprint": "sha256:eada85f7c2ce57a93d483b9132f5f1bd72322b0e13a27f8bc52cb5c073dc9eb6", "generator_version": "3.0"}
{"id": "v3_val_00004466", "prompt": "Compute: -2 / (-5) - (-315) * 406 + (418 + (-39))", "solution_steps": ["Divide: -2 / (-5) = 2/5", "Multiply: -315 * 406 = -127890", "Subtract: 2/5 - (-127890) = 639452/5", "Add: 418 + (-39) = 379", "Add: 639452/5 + 379 = 641347/5"], "final_answer": "641347/5", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-5) - (-315) * 406 + (418 + (-39))", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -5, \"c\": -315, \"d\": 406, \"e\": 418, \"f\": -39}", "seed": "16436705546581924405", "semantic_fingerprint": "sha256:f072e07d037700efcea562fea0e27912cba49fb0c67716a43dd883de2eb6799e", "generator_version": "3.0"}
{"id": "v3_val_00004467", "prompt": "Solve the equation x - 15 = 3 for x.", "solution_steps": ["Add 15 to both sides: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 15 = 3", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 15, \"c\": 3, \"x\": 18}", "seed": "15137761381439050474", "semantic_fingerprint": "sha256:cff49fd402d2b698ef5907bb744b75b5a23d0f31e23ef296adff688a9e81e66f", "generator_version": "3.0"}
{"id": "v3_val_00004468", "prompt": "Compute: 5 - (-9 + 588)", "solution_steps": ["Add: -9 + 588 = 579", "Subtract: 5 - 579 = -574"], "final_answer": "-574", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-9 + 588)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -9, \"c\": 588}", "seed": "15030222376131917555", "semantic_fingerprint": "sha256:a7f21b73146f6fa376658bac8b9b3357c4bae3afbe33aa03a1159b23a30a7eba", "generator_version": "3.0"}
{"id": "v3_val_00004469", "prompt": "Evaluate: 964 / (-95 / 7 + (-31)) - 43 + (-442)", "solution_steps": ["Divide: -95 / 7 = -95/7", "Add: -95/7 + (-31) = -312/7", "Divide: 964 / (-312/7) = -1687/78", "Subtract: -1687/78 - 43 = -5041/78", "Add: -5041/78 + (-442) = -39517/78"], "final_answer": "-39517/78", "answer_type": "rational", "kind": "expression", "math_text": "964 / (-95 / 7 + (-31)) - 43 + (-442)", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n (+ (/ n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 964, \"b\": -95, \"c\": 7, \"d\": -31, \"e\": 43, \"f\": -442}", "seed": "7339560416253874357", "semantic_fingerprint": "sha256:dde2501eb4321e68515e94093736f0ce0be4c9799f0763ddba67afc3794ba7d3", "generator_version": "3.0"}
{"id": "v3_val_00004470", "prompt": "Compute: 8 * (-24) + (30 + (-346))", "solution_steps": ["Multiply: 8 * (-24) = -192", "Add: 30 + (-346) = -316", "Add: -192 + (-316) = -508"], "final_answer": "-508", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-24) + (30 + (-346))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -24, \"c\": 30, \"d\": -346}", "seed": "11482934763873390851", "semantic_fingerprint": "sha256:8c6c307c92b9368b26e700f87cfae6e38f4856f4111f95c013377d93ee735d5d", "generator_version": "3.0"}
{"id": "v3_val_00004471", "prompt": "Calculate: 9 / (47 * 821 - 571)", "solution_steps": ["Multiply: 47 * 821 = 38587", "Subtract: 38587 - 571 = 38016", "Divide: 9 / 38016 = 1/4224"], "final_answer": "1/4224", "answer_type": "rational", "kind": "expression", "math_text": "9 / (47 * 821 - 571)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 47, \"c\": 821, \"d\": 571}", "seed": "14312213843494095191", "semantic_fingerprint": "sha256:4475cea3e8e7ba3953afe3eedfa97c581022cecc13fe475165da7370211827a4", "generator_version": "3.0"}
{"id": "v3_val_00004472", "prompt": "Solve for x: -5(x - 9) + 448 = 6(x - 4) + 605", "solution_steps": ["Expand: -5x + 45 + 448 = 6(x - 4) + 605", "Expand: -5x + 45 + 448 = 6x - 24 + 605", "Combine constants: -5x + 493 = 6x - 24 + 605", "Combine constants: -5x + 493 = 6x + 581", "Subtract 6x from both sides: -11x + 493 = 581", "Subtract 493 from both sides: -11x = 88", "Divide both sides by -11: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 9) + 448 = 6(x - 4) + 605", "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\": 448, \"d\": 6, \"e\": 4, \"g\": 605, \"x\": -8}", "seed": "12214325485495504403", "semantic_fingerprint": "sha256:07f27d7301c9369333cc886717cfd39931ead939f3afd37d36c6c5440cb6dfb2", "generator_version": "3.0"}
{"id": "v3_val_00004473", "prompt": "Evaluate: -62 / (-97) * (-4 + 680)", "solution_steps": ["Divide: -62 / (-97) = 62/97", "Add: -4 + 680 = 676", "Multiply: (62/97) * 676 = 41912/97"], "final_answer": "41912/97", "answer_type": "rational", "kind": "expression", "math_text": "-62 / (-97) * (-4 + 680)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -97, \"c\": -4, \"d\": 680}", "seed": "10186078645177232698", "semantic_fingerprint": "sha256:6b7934dd51b18e6890fdd925364c1895e5742bb41e70341283d6c9d03efd27e1", "generator_version": "3.0"}
{"id": "v3_val_00004474", "prompt": "Calculate: -45 - (-16) / (-238 - 121)", "solution_steps": ["Subtract: -238 - 121 = -359", "Divide: -16 / (-359) = 16/359", "Subtract: -45 - 16/359 = -16171/359"], "final_answer": "-16171/359", "answer_type": "rational", "kind": "expression", "math_text": "-45 - (-16) / (-238 - 121)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -16, \"c\": -238, \"d\": 121}", "seed": "17759888517479214833", "semantic_fingerprint": "sha256:95f5ac343d107db0d86eb184e5c78f7bf5cdf03c13607466f1faf07ab7ebfb53", "generator_version": "3.0"}
{"id": "v3_val_00004475", "prompt": "What value of x satisfies x + 575 = 5(x - 55) + 858?", "solution_steps": ["Expand: x + 575 = 5x - 275 + 858", "Combine constants: x + 575 = 5x + 583", "Subtract 5x from both sides: -4x + 575 = 583", "Subtract 575 from both sides: -4x = 8", "Divide both sides by -4: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 575 = 5(x - 55) + 858", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 575, \"b\": 5, \"c\": 55, \"e\": 858, \"x\": -2}", "seed": "8363675420064079969", "semantic_fingerprint": "sha256:e7a1a34e7c357ce57978b6a275a5a0b9a30309985fc735ad429eb9a338ba0902", "generator_version": "3.0"}
{"id": "v3_val_00004476", "prompt": "Compute: 28 * (-36) - 36", "solution_steps": ["Multiply: 28 * (-36) = -1008", "Subtract: -1008 - 36 = -1044"], "final_answer": "-1044", "answer_type": "integer", "kind": "expression", "math_text": "28 * (-36) - 36", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -36, \"c\": 36}", "seed": "18084216292308655932", "semantic_fingerprint": "sha256:768491d6eee57e194c9b154860ad654457091f0cd12666a42e065960c61579a6", "generator_version": "3.0"}
{"id": "v3_val_00004477", "prompt": "Find x: 8x = x - 126", "solution_steps": ["Subtract x from both sides: 7x = -126", "Divide both sides by 7: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = x - 126", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": -126, \"x\": -18}", "seed": "16987425643889394783", "semantic_fingerprint": "sha256:4933c47b4277d8726c47b9b8b261fbb01f6ab277cbb403dfe7df8f8672b52668", "generator_version": "3.0"}
{"id": "v3_val_00004478", "prompt": "What value of x satisfies 5x = 90?", "solution_steps": ["Divide both sides by 5: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 90", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": 90, \"x\": 18}", "seed": "12558485754814584220", "semantic_fingerprint": "sha256:ccd341430a2ffeb189b50148e8c93a871e920b9d689c1d9a5eef6471e2e02793", "generator_version": "3.0"}
{"id": "v3_val_00004479", "prompt": "Solve the equation 4x + 12 = 2x + 38 for x.", "solution_steps": ["Subtract 2x 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": "4x + 12 = 2x + 38", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 12, \"c\": 2, \"e\": 38, \"x\": 13}", "seed": "15404582873954377628", "semantic_fingerprint": "sha256:12c661d97d39608ed1c5edde54068ddbe62a7302d00e3ba2e10ae2b5e8a4b1ec", "generator_version": "3.0"}
{"id": "v3_val_00004480", "prompt": "Solve the equation x - 96 = 12(x - 5) - 91 for x.", "solution_steps": ["Expand: x - 96 = 12x - 60 - 91", "Combine constants: x - 96 = 12x - 151", "Subtract 12x from both sides: -11x - 96 = -151", "Add 96 to both sides: -11x = -55", "Divide both sides by -11: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 96 = 12(x - 5) - 91", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 12, \"c\": 5, \"e\": -91, \"x\": 5}", "seed": "4400704148228491695", "semantic_fingerprint": "sha256:e6317f03f98a18f1c9e64fa7fcb1234b1a2f22176cdc253272f10ec2b3c69cb6", "generator_version": "3.0"}
{"id": "v3_val_00004481", "prompt": "Solve for x: -6x + 233 = 3x + 197", "solution_steps": ["Subtract 3x from both sides: -9x + 233 = 197", "Subtract 233 from both sides: -9x = -36", "Divide both sides by -9: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x + 233 = 3x + 197", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 233, \"c\": 3, \"e\": 197, \"x\": 4}", "seed": "2120053137194836307", "semantic_fingerprint": "sha256:2199a1e7943d75c044ea654281e5c59ff594accb91fc8870de0d76ce7824c761", "generator_version": "3.0"}
{"id": "v3_val_00004482", "prompt": "Solve the equation -5(x + 514) = -6(x - 89) for x.", "solution_steps": ["Expand: -5x - 2570 = -6(x - 89)", "Expand: -5x - 2570 = -6x + 534", "Add 6x to both sides: x - 2570 = 534", "Add 2570 to both sides: x = 3104"], "final_answer": "3104", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 514) = -6(x - 89)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 514, \"c\": -6, \"d\": 89}", "seed": "8490981059903500621", "semantic_fingerprint": "sha256:0f2ad0bdd565081c247755044bfd6c65634ce5d6279ab5dae8ac3e34eeb78cef", "generator_version": "3.0"}
{"id": "v3_val_00004483", "prompt": "Calculate: 413 * (-6 + (-5) + (-48 - 40) / 64)", "solution_steps": ["Add: -6 + (-5) = -11", "Subtract: -48 - 40 = -88", "Divide: -88 / 64 = -11/8", "Add: -11 + (-11/8) = -99/8", "Multiply: 413 * (-99/8) = -40887/8"], "final_answer": "-40887/8", "answer_type": "rational", "kind": "expression", "math_text": "413 * (-6 + (-5) + (-48 - 40) / 64)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (+ n n) (/ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 413, \"b\": -6, \"c\": -5, \"d\": -48, \"e\": 40, \"f\": 64}", "seed": "16692697076315646298", "semantic_fingerprint": "sha256:d3260d5c2f869be2158e2eddaeb1876339b619ebc447b4f47c23036069bd0f5f", "generator_version": "3.0"}
{"id": "v3_val_00004484", "prompt": "What value of x satisfies x + 13 = 11x?", "solution_steps": ["Subtract 11x from both sides: -10x + 13 = 0", "Subtract 13 from both sides: -10x = -13", "Divide both sides by -10: x = 13/10"], "final_answer": "13/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 13 = 11x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 11}", "seed": "6873273950002446166", "semantic_fingerprint": "sha256:dba6fa5f43e48c0e5c16b2f804d79abe19a33ce01d2546d2cf23fc53a6a37dca", "generator_version": "3.0"}
{"id": "v3_val_00004485", "prompt": "What is -12 - (-8) + 764?", "solution_steps": ["Subtract: -12 - (-8) = -4", "Add: -4 + 764 = 760"], "final_answer": "760", "answer_type": "integer", "kind": "expression", "math_text": "-12 - (-8) + 764", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -8, \"c\": 764}", "seed": "9406355030518397594", "semantic_fingerprint": "sha256:2ca73c38bb645502a2102a85ba53987edf72065dda3f3e3df9250f088c495e7a", "generator_version": "3.0"}
{"id": "v3_val_00004486", "prompt": "Calculate: 823 - (-2)", "solution_steps": ["Subtract: 823 - (-2) = 825"], "final_answer": "825", "answer_type": "integer", "kind": "expression", "math_text": "823 - (-2)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 823, \"b\": -2}", "seed": "6542537043490289431", "semantic_fingerprint": "sha256:4944017964ccd135151a1eb6c2344f16b032657e40c9ab32fd0849aad627d4c7", "generator_version": "3.0"}
{"id": "v3_val_00004487", "prompt": "What is -1 + (3 + 262 - (-49))?", "solution_steps": ["Add: 3 + 262 = 265", "Subtract: 265 - (-49) = 314", "Add: -1 + 314 = 313"], "final_answer": "313", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (3 + 262 - (-49))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 3, \"c\": 262, \"d\": -49}", "seed": "17467139022023063957", "semantic_fingerprint": "sha256:b28fab967ab3811a15331f069a9b894dd50a88ef74fa4011ea74a0b089432c25", "generator_version": "3.0"}
{"id": "v3_val_00004488", "prompt": "Solve the equation x + 40 = 12(x + 7) for x.", "solution_steps": ["Expand: x + 40 = 12x + 84", "Subtract 12x from both sides: -11x + 40 = 84", "Subtract 40 from both sides: -11x = 44", "Divide both sides by -11: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 40 = 12(x + 7)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"d\": 40, \"x\": -4}", "seed": "1927732099964871462", "semantic_fingerprint": "sha256:37f5cf54bf25b0f5d9d524aac7d62550c0578e4fde308690b9d127bdaf08e20f", "generator_version": "3.0"}
{"id": "v3_val_00004489", "prompt": "Compute: 3 * 329", "solution_steps": ["Multiply: 3 * 329 = 987"], "final_answer": "987", "answer_type": "integer", "kind": "expression", "math_text": "3 * 329", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 329}", "seed": "11907017310355280523", "semantic_fingerprint": "sha256:520d4af0846c26062a9c05bf98cf1c0431e49c116a83b7e6a13f0d98af0e6db7", "generator_version": "3.0"}
{"id": "v3_val_00004490", "prompt": "Calculate: -76 + (743 - (-21))", "solution_steps": ["Subtract: 743 - (-21) = 764", "Add: -76 + 764 = 688"], "final_answer": "688", "answer_type": "integer", "kind": "expression", "math_text": "-76 + (743 - (-21))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 743, \"c\": -21}", "seed": "14633564347081979026", "semantic_fingerprint": "sha256:8acead0a589cd2d30ab4e4f759b0219cd4e1d368ea6063ead27f4359c05756a0", "generator_version": "3.0"}
{"id": "v3_val_00004491", "prompt": "Calculate: -3 * (6 / (-168) + (-39))", "solution_steps": ["Divide: 6 / (-168) = -1/28", "Add: -1/28 + (-39) = -1093/28", "Multiply: -3 * (-1093/28) = 3279/28"], "final_answer": "3279/28", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (6 / (-168) + (-39))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": -168, \"d\": -39}", "seed": "343249217244866778", "semantic_fingerprint": "sha256:f753f97582a5e216d58b4277838d0ec5fad4f2cda1c273c7d6bad1e1041509ed", "generator_version": "3.0"}
{"id": "v3_val_00004492", "prompt": "Calculate: 4 - (-91) + (-887 - 51)", "solution_steps": ["Subtract: 4 - (-91) = 95", "Subtract: -887 - 51 = -938", "Add: 95 + (-938) = -843"], "final_answer": "-843", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-91) + (-887 - 51)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -91, \"c\": -887, \"d\": 51}", "seed": "17631990153458519171", "semantic_fingerprint": "sha256:8cd18a39cf97e45900f94266de229150284ec1350637923470dba65657296628", "generator_version": "3.0"}
{"id": "v3_val_00004493", "prompt": "Compute: -480 * (16 * (-49))", "solution_steps": ["Multiply: 16 * (-49) = -784", "Multiply: -480 * (-784) = 376320"], "final_answer": "376320", "answer_type": "integer", "kind": "expression", "math_text": "-480 * (16 * (-49))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -480, \"b\": 16, \"c\": -49}", "seed": "9811643448839768895", "semantic_fingerprint": "sha256:16efa72c98c1ea39c3dee001a3cef8a64bcbb4465e77cb98a23ff31031e3c971", "generator_version": "3.0"}
{"id": "v3_val_00004494", "prompt": "Compute: -1 + (-421) + 323", "solution_steps": ["Add: -1 + (-421) = -422", "Add: -422 + 323 = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-421) + 323", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -421, \"c\": 323}", "seed": "7156937883043126922", "semantic_fingerprint": "sha256:24011e9601917c29b559a1b644d64c1486c42724cd61ca4f880f48fa40d0aa5a", "generator_version": "3.0"}
{"id": "v3_val_00004495", "prompt": "Compute: -3 - 597", "solution_steps": ["Subtract: -3 - 597 = -600"], "final_answer": "-600", "answer_type": "integer", "kind": "expression", "math_text": "-3 - 597", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 597}", "seed": "754160490760573784", "semantic_fingerprint": "sha256:dc48ec911cb1a3b4af0b139cc7705361f20bd08bf2e26e20e2849d34de869146", "generator_version": "3.0"}
{"id": "v3_val_00004496", "prompt": "Solve for x: 10x + 23 = 2(x + 24) + 63", "solution_steps": ["Expand: 10x + 23 = 2x + 48 + 63", "Combine constants: 10x + 23 = 2x + 111", "Subtract 2x from both sides: 8x + 23 = 111", "Subtract 23 from both sides: 8x = 88", "Divide both sides by 8: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 23 = 2(x + 24) + 63", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 23, \"c\": 2, \"d\": 24, \"f\": 63, \"x\": 11}", "seed": "16468684359083816341", "semantic_fingerprint": "sha256:8b5113f6ff6650976a8788176722fd1d226f10dfb2ded3d30f0e5e4bb6f63b6b", "generator_version": "3.0"}
{"id": "v3_val_00004497", "prompt": "Compute: -611 / ((5 - (-7)) / (-91))", "solution_steps": ["Subtract: 5 - (-7) = 12", "Divide: 12 / (-91) = -12/91", "Divide: -611 / (-12/91) = 55601/12"], "final_answer": "55601/12", "answer_type": "rational", "kind": "expression", "math_text": "-611 / ((5 - (-7)) / (-91))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -611, \"b\": 5, \"c\": -7, \"d\": -91}", "seed": "12581120181844792513", "semantic_fingerprint": "sha256:40370fcc0af8ddda892802e79a937bd6003aa85644a1cd61a385315b671d7659", "generator_version": "3.0"}
{"id": "v3_val_00004498", "prompt": "What is 37 + 67?", "solution_steps": ["Add: 37 + 67 = 104"], "final_answer": "104", "answer_type": "integer", "kind": "expression", "math_text": "37 + 67", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 67}", "seed": "5227919327452029192", "semantic_fingerprint": "sha256:0b9bf18d1d25b3442394b1e413ce8d77b2d87e5b7eb8faa6958efa1ae7aa36ea", "generator_version": "3.0"}
{"id": "v3_val_00004499", "prompt": "What is 7 * (-93 - (-5)) / ((-42 - (-4)) * (-9))?", "solution_steps": ["Subtract: -93 - (-5) = -88", "Multiply: 7 * (-88) = -616", "Subtract: -42 - (-4) = -38", "Multiply: -38 * (-9) = 342", "Divide: -616 / 342 = -308/171"], "final_answer": "-308/171", "answer_type": "rational", "kind": "expression", "math_text": "7 * (-93 - (-5)) / ((-42 - (-4)) * (-9))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (- n n)) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -93, \"c\": -5, \"d\": -42, \"e\": -4, \"f\": -9}", "seed": "12724749798925249871", "semantic_fingerprint": "sha256:517802c5b87314aadc8c11758d67ea27f339adb77faf0e07fab593c41283ca2e", "generator_version": "3.0"}
{"id": "v3_val_00004500", "prompt": "Solve the equation x - 703 = 9(x - 79) for x.", "solution_steps": ["Expand: x - 703 = 9x - 711", "Subtract 9x from both sides: -8x - 703 = -711", "Add 703 to both sides: -8x = -8", "Divide both sides by -8: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 703 = 9(x - 79)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 79, \"d\": -703, \"x\": 1}", "seed": "8890695395737933084", "semantic_fingerprint": "sha256:5dd50e773bcf3a472d6a3a7e384c7998179e17ecf3c93c8538d73fc9d2565e89", "generator_version": "3.0"}
{"id": "v3_val_00004501", "prompt": "Compute: 31 + 9", "solution_steps": ["Add: 31 + 9 = 40"], "final_answer": "40", "answer_type": "integer", "kind": "expression", "math_text": "31 + 9", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 9}", "seed": "3107751661070629009", "semantic_fingerprint": "sha256:962590f49a9969c2b51f6fa6b9feabc213ff37518ba4ff96e9ce4191f22aa8e7", "generator_version": "3.0"}
{"id": "v3_val_00004502", "prompt": "Evaluate: -200 * (5 + 815 + 2)", "solution_steps": ["Add: 5 + 815 = 820", "Add: 820 + 2 = 822", "Multiply: -200 * 822 = -164400"], "final_answer": "-164400", "answer_type": "integer", "kind": "expression", "math_text": "-200 * (5 + 815 + 2)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -200, \"b\": 5, \"c\": 815, \"d\": 2}", "seed": "2804814692276008471", "semantic_fingerprint": "sha256:7b12f9c1ba4276b45c9f21dfc6f999837d3920a21e30d2e946f6c9f5320404aa", "generator_version": "3.0"}
{"id": "v3_val_00004503", "prompt": "What is 45 + 5 * (58 - (-754))?", "solution_steps": ["Subtract: 58 - (-754) = 812", "Multiply: 5 * 812 = 4060", "Add: 45 + 4060 = 4105"], "final_answer": "4105", "answer_type": "integer", "kind": "expression", "math_text": "45 + 5 * (58 - (-754))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 5, \"c\": 58, \"d\": -754}", "seed": "8030295392194768065", "semantic_fingerprint": "sha256:7e9ed520171929b255dd1488cc46be4147c66595a31160488a3604c41ff22d13", "generator_version": "3.0"}
{"id": "v3_val_00004504", "prompt": "Evaluate: -74 / (-84)", "solution_steps": ["Divide: -74 / (-84) = 37/42"], "final_answer": "37/42", "answer_type": "rational", "kind": "expression", "math_text": "-74 / (-84)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": -84}", "seed": "12622044662878049791", "semantic_fingerprint": "sha256:f79dedb4dddb3494bbd37bb54a8d746057628eddcd03bfa3c2acadb59f0ac2d6", "generator_version": "3.0"}
{"id": "v3_val_00004505", "prompt": "Solve the equation x + 245 = 8(x + 21) for x.", "solution_steps": ["Expand: x + 245 = 8x + 168", "Subtract 8x from both sides: -7x + 245 = 168", "Subtract 245 from both sides: -7x = -77", "Divide both sides by -7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 245 = 8(x + 21)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 21, \"d\": 245, \"x\": 11}", "seed": "9966990396640418938", "semantic_fingerprint": "sha256:2a1ce954a2cf0983e92e21b4ca164bbffeeae9c92b324fb5f25ce63be18611f4", "generator_version": "3.0"}
{"id": "v3_val_00004506", "prompt": "Calculate: 313 + 82", "solution_steps": ["Add: 313 + 82 = 395"], "final_answer": "395", "answer_type": "integer", "kind": "expression", "math_text": "313 + 82", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 313, \"b\": 82}", "seed": "2030305761474113481", "semantic_fingerprint": "sha256:e992635b7546c6fbbbcfcb7de5bf4d33fe46bc560b076b72bf3eed40801f7588", "generator_version": "3.0"}
{"id": "v3_val_00004507", "prompt": "What value of x satisfies 6(x - 27) = x - 222?", "solution_steps": ["Expand: 6x - 162 = x - 222", "Subtract x from both sides: 5x - 162 = -222", "Add 162 to both sides: 5x = -60", "Divide both sides by 5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 27) = x - 222", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 27, \"d\": -222, \"x\": -12}", "seed": "8233462092571664471", "semantic_fingerprint": "sha256:0e709aa6e28b95275aea1a2de10401eb130036bbc438c4ce33292c64e1164565", "generator_version": "3.0"}
{"id": "v3_val_00004508", "prompt": "Evaluate: 69 * (5 / 558)", "solution_steps": ["Divide: 5 / 558 = 5/558", "Multiply: 69 * (5/558) = 115/186"], "final_answer": "115/186", "answer_type": "rational", "kind": "expression", "math_text": "69 * (5 / 558)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 5, \"c\": 558}", "seed": "5498607952165457949", "semantic_fingerprint": "sha256:fd84c85082aa1fe2cfc4eaf49b5962313ad793f24100be16ee9b8b2951a615ac", "generator_version": "3.0"}
{"id": "v3_val_00004509", "prompt": "What value of x satisfies 4x - 160 = -12x?", "solution_steps": ["Add 12x to both sides: 16x - 160 = 0", "Add 160 to both sides: 16x = 160", "Divide both sides by 16: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 160 = -12x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -12, \"d\": -160, \"x\": 10}", "seed": "11742897091840852014", "semantic_fingerprint": "sha256:ae96efa61293d4360de0549d582f6228bada1b82cd0466f8021080902a54300a", "generator_version": "3.0"}
{"id": "v3_val_00004510", "prompt": "Solve the equation -3x + 946 = x for x.", "solution_steps": ["Subtract x from both sides: -4x + 946 = 0", "Subtract 946 from both sides: -4x = -946", "Divide both sides by -4: x = 473/2"], "final_answer": "473/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x + 946 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 946}", "seed": "12088425229683790959", "semantic_fingerprint": "sha256:72d3dfb5ca12ea98a540672e9c7b39a0e8a2b6d9aa6d4a0d80a51dbccfcc4935", "generator_version": "3.0"}
{"id": "v3_val_00004511", "prompt": "Solve for x: 11(x + 43) - 491 = 8x", "solution_steps": ["Expand: 11x + 473 - 491 = 8x", "Combine constants: 11x - 18 = 8x", "Subtract 8x from both sides: 3x - 18 = 0", "Add 18 to both sides: 3x = 18", "Divide both sides by 3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 43) - 491 = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 43, \"c\": 8, \"e\": -491, \"x\": 6}", "seed": "13522884114375669621", "semantic_fingerprint": "sha256:3b46c44be6448d70a7272205a2d721e640265700754e93bccdb637598741ffac", "generator_version": "3.0"}
{"id": "v3_val_00004512", "prompt": "What value of x satisfies -12(x - 6) - 9 = 10x + 283?", "solution_steps": ["Expand: -12x + 72 - 9 = 10x + 283", "Combine constants: -12x + 63 = 10x + 283", "Subtract 10x from both sides: -22x + 63 = 283", "Subtract 63 from both sides: -22x = 220", "Divide both sides by -22: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 6) - 9 = 10x + 283", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 6, \"c\": 9, \"d\": 10, \"f\": 283, \"x\": -10}", "seed": "17097163299849456874", "semantic_fingerprint": "sha256:a2ccc927d3f7947b9bfe93c8c3f5e0bc311dd5f080c888821028a9371221d86b", "generator_version": "3.0"}
{"id": "v3_val_00004513", "prompt": "What is -3 / (34 * 516)?", "solution_steps": ["Multiply: 34 * 516 = 17544", "Divide: -3 / 17544 = -1/5848"], "final_answer": "-1/5848", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (34 * 516)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 34, \"c\": 516}", "seed": "13648993331162257173", "semantic_fingerprint": "sha256:65e22b641b558bba96d4cb3557b12c746d6182614450f4ed897907da2c763b16", "generator_version": "3.0"}
{"id": "v3_val_00004514", "prompt": "Evaluate: -77 - 51", "solution_steps": ["Subtract: -77 - 51 = -128"], "final_answer": "-128", "answer_type": "integer", "kind": "expression", "math_text": "-77 - 51", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 51}", "seed": "5025683596127982106", "semantic_fingerprint": "sha256:70e176f591456e1cf272dbf7b56fc62611ad4d56ec21eb52635d45135c98401a", "generator_version": "3.0"}
{"id": "v3_val_00004515", "prompt": "Solve for x: 3(x + 5) = -12(x - 48) - 816", "solution_steps": ["Expand: 3x + 15 = -12(x - 48) - 816", "Expand: 3x + 15 = -12x + 576 - 816", "Combine constants: 3x + 15 = -12x - 240", "Add 12x to both sides: 15x + 15 = -240", "Subtract 15 from both sides: 15x = -255", "Divide both sides by 15: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 5) = -12(x - 48) - 816", "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\": 48, \"f\": -816, \"x\": -17}", "seed": "11671570539703546412", "semantic_fingerprint": "sha256:c70aa51975f098b407f4f00eb98f61e60bda93b5338b241fbdf9cc7e6ce68c48", "generator_version": "3.0"}
{"id": "v3_val_00004516", "prompt": "Calculate: -155 - 74 - (-297)", "solution_steps": ["Subtract: -155 - 74 = -229", "Subtract: -229 - (-297) = 68"], "final_answer": "68", "answer_type": "integer", "kind": "expression", "math_text": "-155 - 74 - (-297)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -155, \"b\": 74, \"c\": -297}", "seed": "18424768431241010396", "semantic_fingerprint": "sha256:21a561b7e8f8be13dbb20bd3d0b088ede0d0ec2133f6b44e73f99d1737dfef71", "generator_version": "3.0"}
{"id": "v3_val_00004517", "prompt": "Solve for x: -8x + 1 = x + 109", "solution_steps": ["Subtract x from both sides: -9x + 1 = 109", "Subtract 1 from both sides: -9x = 108", "Divide both sides by -9: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 1 = x + 109", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"d\": 109, \"x\": -12}", "seed": "1975411983990312797", "semantic_fingerprint": "sha256:182c8bd6c599bbd51661efe0b3fafa4d2d08eb3db0b376b2049eece336825250", "generator_version": "3.0"}
{"id": "v3_val_00004518", "prompt": "What is 79 / (-4) * (-160) / (-104 / (-1))?", "solution_steps": ["Divide: 79 / (-4) = -79/4", "Multiply: (-79/4) * (-160) = 3160", "Divide: -104 / (-1) = 104", "Divide: 3160 / 104 = 395/13"], "final_answer": "395/13", "answer_type": "rational", "kind": "expression", "math_text": "79 / (-4) * (-160) / (-104 / (-1))", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -4, \"c\": -160, \"d\": -104, \"e\": -1}", "seed": "11754002117525618099", "semantic_fingerprint": "sha256:741616896fa1ae69c6579039c5132eedd4b1eeac3f82875b153d2228f4a54452", "generator_version": "3.0"}
{"id": "v3_val_00004519", "prompt": "Find x: 8(x - 21) = x - 238", "solution_steps": ["Expand: 8x - 168 = x - 238", "Subtract x from both sides: 7x - 168 = -238", "Add 168 to both sides: 7x = -70", "Divide both sides by 7: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 21) = x - 238", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 21, \"d\": -238, \"x\": -10}", "seed": "7461005177463183225", "semantic_fingerprint": "sha256:83a58b555f2ed1a5a54087b79ec500dfd5c1a1899366a5134482a533aa7afc2a", "generator_version": "3.0"}
{"id": "v3_val_00004520", "prompt": "What is -8 * (-87 / 9 * (-72 / (-588)))?", "solution_steps": ["Divide: -87 / 9 = -29/3", "Divide: -72 / (-588) = 6/49", "Multiply: (-29/3) * (6/49) = -58/49", "Multiply: -8 * (-58/49) = 464/49"], "final_answer": "464/49", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (-87 / 9 * (-72 / (-588)))", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -87, \"c\": 9, \"d\": -72, \"e\": -588}", "seed": "8486364089366512023", "semantic_fingerprint": "sha256:9745c4befed42b6be7399a18a1a17a608b9160e39f2ce375c0a75eb581b9898a", "generator_version": "3.0"}
{"id": "v3_val_00004521", "prompt": "What is -94 - (-1) + (-70)?", "solution_steps": ["Subtract: -94 - (-1) = -93", "Add: -93 + (-70) = -163"], "final_answer": "-163", "answer_type": "integer", "kind": "expression", "math_text": "-94 - (-1) + (-70)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -1, \"c\": -70}", "seed": "1109731893361384050", "semantic_fingerprint": "sha256:79a299071d943ba821ed11f82bd4f8b201d3b2499eebf4b65831c916d199b112", "generator_version": "3.0"}
{"id": "v3_val_00004522", "prompt": "Find x: 5x - 5 = 10(x + 14) - 55", "solution_steps": ["Expand: 5x - 5 = 10x + 140 - 55", "Combine constants: 5x - 5 = 10x + 85", "Subtract 10x from both sides: -5x - 5 = 85", "Add 5 to both sides: -5x = 90", "Divide both sides by -5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 5 = 10(x + 14) - 55", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 10, \"d\": 14, \"f\": -55, \"x\": -18}", "seed": "10219818733445920980", "semantic_fingerprint": "sha256:c9e36adab58757063baf90cc7d0815cd6fa37a48ebea3f09da13542386c16a41", "generator_version": "3.0"}
{"id": "v3_val_00004523", "prompt": "Find x: -10(x - 49) - 6 = -7(x - 25) + 336", "solution_steps": ["Expand: -10x + 490 - 6 = -7(x - 25) + 336", "Expand: -10x + 490 - 6 = -7x + 175 + 336", "Combine constants: -10x + 484 = -7x + 175 + 336", "Combine constants: -10x + 484 = -7x + 511", "Add 7x to both sides: -3x + 484 = 511", "Subtract 484 from both sides: -3x = 27", "Divide both sides by -3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 49) - 6 = -7(x - 25) + 336", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 49, \"c\": 6, \"d\": -7, \"e\": 25, \"g\": 336, \"x\": -9}", "seed": "16680246576344711375", "semantic_fingerprint": "sha256:f97a3f68edcae0c016ef82f73c05379379beb847e794cb1ea80291c64cbfa91b", "generator_version": "3.0"}
{"id": "v3_val_00004524", "prompt": "Evaluate: -27 + (-138) * (-545)", "solution_steps": ["Multiply: -138 * (-545) = 75210", "Add: -27 + 75210 = 75183"], "final_answer": "75183", "answer_type": "integer", "kind": "expression", "math_text": "-27 + (-138) * (-545)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -138, \"c\": -545}", "seed": "10481419086107555592", "semantic_fingerprint": "sha256:e4d63c43e40628dd428f22a657bec6042315276c0493871e6412f96210ec1707", "generator_version": "3.0"}
{"id": "v3_val_00004525", "prompt": "Find x: 3x = 8x + 88", "solution_steps": ["Subtract 8x from both sides: -5x = 88", "Divide both sides by -5: x = -88/5"], "final_answer": "-88/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = 8x + 88", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 88}", "seed": "15411316247928041896", "semantic_fingerprint": "sha256:17ae72dd415ce550ced3b0acedd308f2fc154fcfa4c72bcf8cec233132245a4c", "generator_version": "3.0"}
{"id": "v3_val_00004526", "prompt": "Find x: -6(x - 3) - 944 = 12x", "solution_steps": ["Expand: -6x + 18 - 944 = 12x", "Combine constants: -6x - 926 = 12x", "Subtract 12x from both sides: -18x - 926 = 0", "Add 926 to both sides: -18x = 926", "Divide both sides by -18: x = -463/9"], "final_answer": "-463/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 3) - 944 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": 944, \"d\": 12}", "seed": "8607058624844647909", "semantic_fingerprint": "sha256:1b6e8a836edf668f49dbc0cbb51b9cd794fb899f68f5a70eb94763cc26efbfed", "generator_version": "3.0"}
{"id": "v3_val_00004527", "prompt": "Evaluate: -42 - (316 + (-9))", "solution_steps": ["Add: 316 + (-9) = 307", "Subtract: -42 - 307 = -349"], "final_answer": "-349", "answer_type": "integer", "kind": "expression", "math_text": "-42 - (316 + (-9))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 316, \"c\": -9}", "seed": "10708545119299969581", "semantic_fingerprint": "sha256:a758c6f537b58553a7d3cb6db49f7095670b7cc81625b3c405c80c6f12704a99", "generator_version": "3.0"}
{"id": "v3_val_00004528", "prompt": "What is (25 + 8) * (-27 * (-7))?", "solution_steps": ["Add: 25 + 8 = 33", "Multiply: -27 * (-7) = 189", "Multiply: 33 * 189 = 6237"], "final_answer": "6237", "answer_type": "integer", "kind": "expression", "math_text": "(25 + 8) * (-27 * (-7))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 8, \"c\": -27, \"d\": -7}", "seed": "4900926279311773307", "semantic_fingerprint": "sha256:d86d0216e5be6900c4ead7bb8b7e3e8fbdae60c6e980d4b1b375ac68faf79576", "generator_version": "3.0"}
{"id": "v3_val_00004529", "prompt": "Calculate: -69 * (-5)", "solution_steps": ["Multiply: -69 * (-5) = 345"], "final_answer": "345", "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": "3957081468217034824", "semantic_fingerprint": "sha256:3ca6f37a6b0855cdefa4be569c44186e28ee8ac21d553f9d6c31894157771c16", "generator_version": "3.0"}
{"id": "v3_val_00004530", "prompt": "Calculate: -6 + 36", "solution_steps": ["Add: -6 + 36 = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 36", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 36}", "seed": "10426566799744411822", "semantic_fingerprint": "sha256:295c49f4416fe1f85bb041729f32389d32105397a8f53197084532d5cae22adb", "generator_version": "3.0"}
{"id": "v3_val_00004531", "prompt": "Evaluate: -4 - (-2) * (-6)", "solution_steps": ["Multiply: -2 * (-6) = 12", "Subtract: -4 - 12 = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-2) * (-6)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -2, \"c\": -6}", "seed": "6046166326481828398", "semantic_fingerprint": "sha256:13438bd2bd411dd25dc9d0499434e71fb81cd33ee2ec80aa135ee972de943ec8", "generator_version": "3.0"}
{"id": "v3_val_00004532", "prompt": "What value of x satisfies -5(x + 7) + 89 = x?", "solution_steps": ["Expand: -5x - 35 + 89 = x", "Combine constants: -5x + 54 = x", "Subtract x from both sides: -6x + 54 = 0", "Subtract 54 from both sides: -6x = -54", "Divide both sides by -6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 7) + 89 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"d\": 89, \"x\": 9}", "seed": "17293887168141907845", "semantic_fingerprint": "sha256:f1e6c289514be0f28a269baaac2b4337e6eedaf7f6b47fa4366604f57529328c", "generator_version": "3.0"}
{"id": "v3_val_00004533", "prompt": "What is 190 / (6 / 9)?", "solution_steps": ["Divide: 6 / 9 = 2/3", "Divide: 190 / (2/3) = 285"], "final_answer": "285", "answer_type": "integer", "kind": "expression", "math_text": "190 / (6 / 9)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 190, \"b\": 6, \"c\": 9}", "seed": "18193317528568537313", "semantic_fingerprint": "sha256:d416e0820ecc90e73c9db77d81580c7bcb53b371a8a73f982ee1435709110c34", "generator_version": "3.0"}
{"id": "v3_val_00004534", "prompt": "Calculate: -79 - 65", "solution_steps": ["Subtract: -79 - 65 = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "expression", "math_text": "-79 - 65", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 65}", "seed": "9673737460794458694", "semantic_fingerprint": "sha256:23672f0b7e22740fc1ebaea96281f76895a234b9cedd9153b054f1d5a6922060", "generator_version": "3.0"}
{"id": "v3_val_00004535", "prompt": "What is 8 * (-62 * 16) / (-90)?", "solution_steps": ["Multiply: -62 * 16 = -992", "Multiply: 8 * (-992) = -7936", "Divide: -7936 / (-90) = 3968/45"], "final_answer": "3968/45", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-62 * 16) / (-90)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -62, \"c\": 16, \"d\": -90}", "seed": "4860262039422993001", "semantic_fingerprint": "sha256:218f8bca7f46040150512d62f4f437d6e2967a1f61173e81ec00f6492744bda1", "generator_version": "3.0"}
{"id": "v3_val_00004536", "prompt": "What is 65 - (-15)?", "solution_steps": ["Subtract: 65 - (-15) = 80"], "final_answer": "80", "answer_type": "integer", "kind": "expression", "math_text": "65 - (-15)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -15}", "seed": "10043428484242474057", "semantic_fingerprint": "sha256:46ff28f7e44fb5536a55351870aa753ed6ce73c31dbdedb40e892d2e5665f5b7", "generator_version": "3.0"}
{"id": "v3_val_00004537", "prompt": "Solve the equation 5x + 65 = 8(x - 61) + 2 for x.", "solution_steps": ["Expand: 5x + 65 = 8x - 488 + 2", "Combine constants: 5x + 65 = 8x - 486", "Subtract 8x from both sides: -3x + 65 = -486", "Subtract 65 from both sides: -3x = -551", "Divide both sides by -3: x = 551/3"], "final_answer": "551/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x + 65 = 8(x - 61) + 2", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 65, \"c\": 8, \"d\": 61, \"e\": 2}", "seed": "5027856111507116728", "semantic_fingerprint": "sha256:b3d50935a047d31bf4e8f66b3f6c903b2ef13ed9b9d0a8efc1a0fb46a1468597", "generator_version": "3.0"}
{"id": "v3_val_00004538", "prompt": "Compute: 13 - ((3 + (-81)) * (40 - (-51)) + 2)", "solution_steps": ["Add: 3 + (-81) = -78", "Subtract: 40 - (-51) = 91", "Multiply: -78 * 91 = -7098", "Add: -7098 + 2 = -7096", "Subtract: 13 - (-7096) = 7109"], "final_answer": "7109", "answer_type": "integer", "kind": "expression", "math_text": "13 - ((3 + (-81)) * (40 - (-51)) + 2)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (* (+ n n) (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 3, \"c\": -81, \"d\": 40, \"e\": -51, \"f\": 2}", "seed": "1856212713895903858", "semantic_fingerprint": "sha256:f709cc72f3a1705db22dd57637c40cb007ac18d2062e42f4e1ac97571fe15a03", "generator_version": "3.0"}
{"id": "v3_val_00004539", "prompt": "Compute: -2 - (-697 + (-251 + (-13)))", "solution_steps": ["Add: -251 + (-13) = -264", "Add: -697 + (-264) = -961", "Subtract: -2 - (-961) = 959"], "final_answer": "959", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-697 + (-251 + (-13)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -697, \"c\": -251, \"d\": -13}", "seed": "8931642726103794558", "semantic_fingerprint": "sha256:931b6420403aded26ac838ab6ceee690759b5499360eb420370419c13660ba00", "generator_version": "3.0"}
{"id": "v3_val_00004540", "prompt": "Calculate: -70 / 24 * (-58)", "solution_steps": ["Divide: -70 / 24 = -35/12", "Multiply: (-35/12) * (-58) = 1015/6"], "final_answer": "1015/6", "answer_type": "rational", "kind": "expression", "math_text": "-70 / 24 * (-58)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 24, \"c\": -58}", "seed": "9542095026965220459", "semantic_fingerprint": "sha256:9c29d1f3257bfb8e9de6825ecc1d0db143327abf766f56e2595800972c935687", "generator_version": "3.0"}
{"id": "v3_val_00004541", "prompt": "Evaluate: 2 * (22 / 388) + (-485 + 46)", "solution_steps": ["Divide: 22 / 388 = 11/194", "Multiply: 2 * (11/194) = 11/97", "Add: -485 + 46 = -439", "Add: 11/97 + (-439) = -42572/97"], "final_answer": "-42572/97", "answer_type": "rational", "kind": "expression", "math_text": "2 * (22 / 388) + (-485 + 46)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 22, \"c\": 388, \"d\": -485, \"e\": 46}", "seed": "3702279454068908086", "semantic_fingerprint": "sha256:7ed1d2c230087982cfb8894ecf918a3929387911a19a7110848b7cfaceeb54bf", "generator_version": "3.0"}
{"id": "v3_val_00004542", "prompt": "Compute: -10 * 809 - 3 + (-64 - 9 + (-41))", "solution_steps": ["Multiply: -10 * 809 = -8090", "Subtract: -8090 - 3 = -8093", "Subtract: -64 - 9 = -73", "Add: -73 + (-41) = -114", "Add: -8093 + (-114) = -8207"], "final_answer": "-8207", "answer_type": "integer", "kind": "expression", "math_text": "-10 * 809 - 3 + (-64 - 9 + (-41))", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 809, \"c\": 3, \"d\": -64, \"e\": 9, \"f\": -41}", "seed": "12924718842540958381", "semantic_fingerprint": "sha256:078c80b2370a02acfbbb64c81d39e0e1aa4d218b07d1508f612d8138f6aefa78", "generator_version": "3.0"}
{"id": "v3_val_00004543", "prompt": "What is 8 - (-533 - (-26)) * (-2 - 36)?", "solution_steps": ["Subtract: -533 - (-26) = -507", "Subtract: -2 - 36 = -38", "Multiply: -507 * (-38) = 19266", "Subtract: 8 - 19266 = -19258"], "final_answer": "-19258", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-533 - (-26)) * (-2 - 36)", "variable": null, "family": "expression_4op", "shape": "(- n (* (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -533, \"c\": -26, \"d\": -2, \"e\": 36}", "seed": "1522075636098736653", "semantic_fingerprint": "sha256:6419d06a07be504272135930a5cdbb8ed6c7fbdb53d4e0d3846433646c06c346", "generator_version": "3.0"}
{"id": "v3_val_00004544", "prompt": "Calculate: 62 - (-900)", "solution_steps": ["Subtract: 62 - (-900) = 962"], "final_answer": "962", "answer_type": "integer", "kind": "expression", "math_text": "62 - (-900)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -900}", "seed": "932496847643786111", "semantic_fingerprint": "sha256:9afb3bb4d7fb50c7cf874540df6089a38774bd23835c83918eef28d494da13ed", "generator_version": "3.0"}
{"id": "v3_val_00004545", "prompt": "What is -859 - 71 - (-7 - 37)?", "solution_steps": ["Subtract: -859 - 71 = -930", "Subtract: -7 - 37 = -44", "Subtract: -930 - (-44) = -886"], "final_answer": "-886", "answer_type": "integer", "kind": "expression", "math_text": "-859 - 71 - (-7 - 37)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -859, \"b\": 71, \"c\": -7, \"d\": 37}", "seed": "3777400167491086841", "semantic_fingerprint": "sha256:34058993f386d47cd2c480b1672ec19879e45420236069b18f3d83f3b5f2b1ef", "generator_version": "3.0"}
{"id": "v3_val_00004546", "prompt": "Find x: x + 10 = 12x - 67", "solution_steps": ["Subtract 12x from both sides: -11x + 10 = -67", "Subtract 10 from both sides: -11x = -77", "Divide both sides by -11: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 10 = 12x - 67", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 12, \"d\": -67, \"x\": 7}", "seed": "14505549330518262938", "semantic_fingerprint": "sha256:085676691c8e35f12ad78835ca012dae3d32931f8d7879fb08d929bddf8717b9", "generator_version": "3.0"}
{"id": "v3_val_00004547", "prompt": "Evaluate: 53 / ((-8 - (-24)) * (-86))", "solution_steps": ["Subtract: -8 - (-24) = 16", "Multiply: 16 * (-86) = -1376", "Divide: 53 / (-1376) = -53/1376"], "final_answer": "-53/1376", "answer_type": "rational", "kind": "expression", "math_text": "53 / ((-8 - (-24)) * (-86))", "variable": null, "family": "expression_3op", "shape": "(/ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -8, \"c\": -24, \"d\": -86}", "seed": "12314022626667678316", "semantic_fingerprint": "sha256:893c95b6d95f16ba40fea6ed1dd8aa6c7ffcc6e537061d804270c4135e659344", "generator_version": "3.0"}
{"id": "v3_val_00004548", "prompt": "What is (-66 + 1) * 34 - (-784)?", "solution_steps": ["Add: -66 + 1 = -65", "Multiply: -65 * 34 = -2210", "Subtract: -2210 - (-784) = -1426"], "final_answer": "-1426", "answer_type": "integer", "kind": "expression", "math_text": "(-66 + 1) * 34 - (-784)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 1, \"c\": 34, \"d\": -784}", "seed": "7437430411795354986", "semantic_fingerprint": "sha256:f7f8220cf7ca42e9809fe36dff6aa422e3c78670bdb43c54a84e2fb7d4d4c70a", "generator_version": "3.0"}
{"id": "v3_val_00004549", "prompt": "What is 43 + (0 - (4 - 7))?", "solution_steps": ["Subtract: 4 - 7 = -3", "Subtract: 0 - (-3) = 3", "Add: 43 + 3 = 46"], "final_answer": "46", "answer_type": "integer", "kind": "expression", "math_text": "43 + (0 - (4 - 7))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 0, \"c\": 4, \"d\": 7}", "seed": "10406518793617773689", "semantic_fingerprint": "sha256:529d7ba0a8119cbf004dc0761a8200c69c0e2a5204b0bb03f315a6eedd31033e", "generator_version": "3.0"}
{"id": "v3_val_00004550", "prompt": "Compute: (8 + (-5) - (-2)) / 454 - 403 / (-46)", "solution_steps": ["Add: 8 + (-5) = 3", "Subtract: 3 - (-2) = 5", "Divide: 5 / 454 = 5/454", "Divide: 403 / (-46) = -403/46", "Subtract: 5/454 - (-403/46) = 45798/5221"], "final_answer": "45798/5221", "answer_type": "rational", "kind": "expression", "math_text": "(8 + (-5) - (-2)) / 454 - 403 / (-46)", "variable": null, "family": "expression_5op", "shape": "(- (/ (- (+ n n) n) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -5, \"c\": -2, \"d\": 454, \"e\": 403, \"f\": -46}", "seed": "3117953506465569501", "semantic_fingerprint": "sha256:4cfbbc467f7cf93439ba4f37eece6ba3b2ef3816eb8b5f9aa910cf2bb6486504", "generator_version": "3.0"}
{"id": "v3_val_00004551", "prompt": "Solve the equation -12(x - 88) + 5 = -11(x - 8) + 973 for x.", "solution_steps": ["Expand: -12x + 1056 + 5 = -11(x - 8) + 973", "Expand: -12x + 1056 + 5 = -11x + 88 + 973", "Combine constants: -12x + 1061 = -11x + 88 + 973", "Combine constants: -12x + 1061 = -11x + 1061", "Add 11x to both sides: -x + 1061 = 1061", "Subtract 1061 from both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 88) + 5 = -11(x - 8) + 973", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 88, \"c\": 5, \"d\": -11, \"e\": 8, \"g\": 973, \"x\": 0}", "seed": "7361433981810027925", "semantic_fingerprint": "sha256:e6d3fde703cfd4baa2013b1134f7efa3251c52470bd929cb0bb9803b0544f207", "generator_version": "3.0"}
{"id": "v3_val_00004552", "prompt": "Calculate: 86 / 38 * 45 / 4 + (-357)", "solution_steps": ["Divide: 86 / 38 = 43/19", "Multiply: (43/19) * 45 = 1935/19", "Divide: (1935/19) / 4 = 1935/76", "Add: 1935/76 + (-357) = -25197/76"], "final_answer": "-25197/76", "answer_type": "rational", "kind": "expression", "math_text": "86 / 38 * 45 / 4 + (-357)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 38, \"c\": 45, \"d\": 4, \"e\": -357}", "seed": "6937603564906982215", "semantic_fingerprint": "sha256:9dd367c02416eedaf53ce81e149ad9f8e6582489b4be91aaafe1feddf72fb2fd", "generator_version": "3.0"}
{"id": "v3_val_00004553", "prompt": "Compute: -48 * (94 / 125 * 655) + (-5)", "solution_steps": ["Divide: 94 / 125 = 94/125", "Multiply: (94/125) * 655 = 12314/25", "Multiply: -48 * (12314/25) = -591072/25", "Add: -591072/25 + (-5) = -591197/25"], "final_answer": "-591197/25", "answer_type": "rational", "kind": "expression", "math_text": "-48 * (94 / 125 * 655) + (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 94, \"c\": 125, \"d\": 655, \"e\": -5}", "seed": "18096022810973795937", "semantic_fingerprint": "sha256:0cd6f9e902769c4d03c7c8ead4b706ff26609bf582ef8a2930d74342913d7b0e", "generator_version": "3.0"}
{"id": "v3_val_00004554", "prompt": "Solve for x: 9(x - 73) + 22 = x - 539", "solution_steps": ["Expand: 9x - 657 + 22 = x - 539", "Combine constants: 9x - 635 = x - 539", "Subtract x from both sides: 8x - 635 = -539", "Add 635 to both sides: 8x = 96", "Divide both sides by 8: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 73) + 22 = x - 539", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 73, \"c\": 22, \"e\": -539, \"x\": 12}", "seed": "12070232800043640517", "semantic_fingerprint": "sha256:1d23d05e6364274a976d4236c5c54de4b513c4816d88317a7b3ad9bf0f18c528", "generator_version": "3.0"}
{"id": "v3_val_00004555", "prompt": "Compute: 8 * 4", "solution_steps": ["Multiply: 8 * 4 = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "8 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4}", "seed": "160561498675312752", "semantic_fingerprint": "sha256:8afbb905b98add2900a1c406bb9234805064c5d65a735662d2ce48f8116b2056", "generator_version": "3.0"}
{"id": "v3_val_00004556", "prompt": "Evaluate: (-43 - 4 * 10) * 1", "solution_steps": ["Multiply: 4 * 10 = 40", "Subtract: -43 - 40 = -83", "Multiply: -83 * 1 = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "expression", "math_text": "(-43 - 4 * 10) * 1", "variable": null, "family": "expression_3op", "shape": "(* (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 4, \"c\": 10, \"d\": 1}", "seed": "17054635725008050103", "semantic_fingerprint": "sha256:83c54085e482a652dce5a204e9afa470bcd3df3b08a916bec567d46381f1c651", "generator_version": "3.0"}
{"id": "v3_val_00004557", "prompt": "Solve the equation 10(x + 7) = -9x + 32 for x.", "solution_steps": ["Expand: 10x + 70 = -9x + 32", "Add 9x to both sides: 19x + 70 = 32", "Subtract 70 from both sides: 19x = -38", "Divide both sides by 19: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 7) = -9x + 32", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": -9, \"e\": 32, \"x\": -2}", "seed": "7706848721305687668", "semantic_fingerprint": "sha256:8383d5330d5ecbc87db7a64d0161d680e1683fd65b4cdcba6bd11d232b109c62", "generator_version": "3.0"}
{"id": "v3_val_00004558", "prompt": "Calculate: (-5 + (-8)) * 208 / (59 - (-40))", "solution_steps": ["Add: -5 + (-8) = -13", "Multiply: -13 * 208 = -2704", "Subtract: 59 - (-40) = 99", "Divide: -2704 / 99 = -2704/99"], "final_answer": "-2704/99", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + (-8)) * 208 / (59 - (-40))", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -8, \"c\": 208, \"d\": 59, \"e\": -40}", "seed": "10682327708999384129", "semantic_fingerprint": "sha256:7d1fad15e27af01e7ac1d4a0600a673d24be7f59a6b0e6557cc922fbeb448f95", "generator_version": "3.0"}
{"id": "v3_val_00004559", "prompt": "What is -37 / (-692) * 21?", "solution_steps": ["Divide: -37 / (-692) = 37/692", "Multiply: (37/692) * 21 = 777/692"], "final_answer": "777/692", "answer_type": "rational", "kind": "expression", "math_text": "-37 / (-692) * 21", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -692, \"c\": 21}", "seed": "9372032100366228962", "semantic_fingerprint": "sha256:f714ebf7ba674707477d78800a25d53e3819f3bfbd79bb57a1fa47c833749b64", "generator_version": "3.0"}
{"id": "v3_val_00004560", "prompt": "Solve for x: x + 227 = -11(x - 1)", "solution_steps": ["Expand: x + 227 = -11x + 11", "Add 11x to both sides: 12x + 227 = 11", "Subtract 227 from both sides: 12x = -216", "Divide both sides by 12: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 227 = -11(x - 1)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 1, \"d\": 227, \"x\": -18}", "seed": "1247059262436469120", "semantic_fingerprint": "sha256:86cac78841175d394dda8415be2ef238190f74cf0469b8d4311bfeaa58b9aa04", "generator_version": "3.0"}
{"id": "v3_val_00004561", "prompt": "Compute: (-33 + 67) * 8", "solution_steps": ["Add: -33 + 67 = 34", "Multiply: 34 * 8 = 272"], "final_answer": "272", "answer_type": "integer", "kind": "expression", "math_text": "(-33 + 67) * 8", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 67, \"c\": 8}", "seed": "6289918217361167", "semantic_fingerprint": "sha256:145e4feebbad5968b5e48bede22066d05ec85905dcb8f19ba9e8f418c9d8f83e", "generator_version": "3.0"}
{"id": "v3_val_00004562", "prompt": "What is -4 - (-14 * 16 - 929)?", "solution_steps": ["Multiply: -14 * 16 = -224", "Subtract: -224 - 929 = -1153", "Subtract: -4 - (-1153) = 1149"], "final_answer": "1149", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-14 * 16 - 929)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -14, \"c\": 16, \"d\": 929}", "seed": "12240511459215105088", "semantic_fingerprint": "sha256:ca06ccda3739037809593a9e85ac182bbd9f73690c739df0732457496e072058", "generator_version": "3.0"}
{"id": "v3_val_00004563", "prompt": "What is -59 + (-710)?", "solution_steps": ["Add: -59 + (-710) = -769"], "final_answer": "-769", "answer_type": "integer", "kind": "expression", "math_text": "-59 + (-710)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -710}", "seed": "4362822282243482211", "semantic_fingerprint": "sha256:77169983bdbe3643e32e13fae47a2c80fa3fe83f49947facc081c34bec70cf96", "generator_version": "3.0"}
{"id": "v3_val_00004564", "prompt": "Find x: 9x + 105 = 10(x + 9)", "solution_steps": ["Expand: 9x + 105 = 10x + 90", "Subtract 10x from both sides: -x + 105 = 90", "Subtract 105 from both sides: -x = -15", "Divide both sides by -1: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 105 = 10(x + 9)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": 9, \"e\": 105, \"x\": 15}", "seed": "3194284824308852200", "semantic_fingerprint": "sha256:bb021dd0de4e246fecbe4d7d2b9ee5a3785983761b73e49594418ffb8de6503f", "generator_version": "3.0"}
{"id": "v3_val_00004565", "prompt": "What value of x satisfies x = 4(x + 364)?", "solution_steps": ["Expand: x = 4x + 1456", "Subtract 4x from both sides: -3x = 1456", "Divide both sides by -3: x = -1456/3"], "final_answer": "-1456/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 4(x + 364)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 364}", "seed": "694078363177194055", "semantic_fingerprint": "sha256:8988f905fb99ee5bad7504b4d7f9f1c6f578ae54cc39a148824f9f2cf7c3d6a5", "generator_version": "3.0"}
{"id": "v3_val_00004566", "prompt": "Evaluate: 5 + 0 + (-720 - 80 - (-70)) - 92", "solution_steps": ["Add: 5 + 0 = 5", "Subtract: -720 - 80 = -800", "Subtract: -800 - (-70) = -730", "Add: 5 + (-730) = -725", "Subtract: -725 - 92 = -817"], "final_answer": "-817", "answer_type": "integer", "kind": "expression", "math_text": "5 + 0 + (-720 - 80 - (-70)) - 92", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n n) (- (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 0, \"c\": -720, \"d\": 80, \"e\": -70, \"f\": 92}", "seed": "1268267364561951435", "semantic_fingerprint": "sha256:4d9d69a7e67180d2c2b22dc66a2881cf98f4aa2ac6d56ec22b34bdd7f565cc3d", "generator_version": "3.0"}
{"id": "v3_val_00004567", "prompt": "Calculate: 9 - (-5 - 83)", "solution_steps": ["Subtract: -5 - 83 = -88", "Subtract: 9 - (-88) = 97"], "final_answer": "97", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-5 - 83)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -5, \"c\": 83}", "seed": "4950802716152063026", "semantic_fingerprint": "sha256:8ad9edf91190cb2d68681918a34b755b5136d074a3ae70d6636f21517e9fce33", "generator_version": "3.0"}
{"id": "v3_val_00004568", "prompt": "Solve for x: -11(x + 6) + 160 = 7(x - 2)", "solution_steps": ["Expand: -11x - 66 + 160 = 7(x - 2)", "Expand: -11x - 66 + 160 = 7x - 14", "Combine constants: -11x + 94 = 7x - 14", "Subtract 7x from both sides: -18x + 94 = -14", "Subtract 94 from both sides: -18x = -108", "Divide both sides by -18: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 6) + 160 = 7(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 7, \"d\": 2, \"f\": 160, \"x\": 6}", "seed": "11867975827270887204", "semantic_fingerprint": "sha256:6a10af874e59f25909fc73badb63bc2f83017d8393d6388ebaff66e8a34bdb55", "generator_version": "3.0"}
{"id": "v3_val_00004569", "prompt": "Compute: (5 - 1) * (-77 + (-9)) + 57", "solution_steps": ["Subtract: 5 - 1 = 4", "Add: -77 + (-9) = -86", "Multiply: 4 * (-86) = -344", "Add: -344 + 57 = -287"], "final_answer": "-287", "answer_type": "integer", "kind": "expression", "math_text": "(5 - 1) * (-77 + (-9)) + 57", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": -77, \"d\": -9, \"e\": 57}", "seed": "3629725365127713781", "semantic_fingerprint": "sha256:d4cf2a6d90b8b99d226322d41def594e98a8d2a1ab6bd1626fcbe992455ab8a0", "generator_version": "3.0"}
{"id": "v3_val_00004570", "prompt": "Compute: 70 / 33 / (42 / 71)", "solution_steps": ["Divide: 70 / 33 = 70/33", "Divide: 42 / 71 = 42/71", "Divide: (70/33) / (42/71) = 355/99"], "final_answer": "355/99", "answer_type": "rational", "kind": "expression", "math_text": "70 / 33 / (42 / 71)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 33, \"c\": 42, \"d\": 71}", "seed": "2477922545308010540", "semantic_fingerprint": "sha256:3ae3aaea40fd357d0116995a403000c13f509c35bae6fd85cc066ea6e4b42541", "generator_version": "3.0"}
{"id": "v3_val_00004571", "prompt": "Solve for x: 2x - 7 = 15", "solution_steps": ["Add 7 to both sides: 2x = 22", "Divide both sides by 2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 7 = 15", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"d\": 15, \"x\": 11}", "seed": "10939224276868524933", "semantic_fingerprint": "sha256:3a1b1dcc957f37bfcb16804f6d940e79522e2c7b8a2fd0b2440b306b6ab5cf9b", "generator_version": "3.0"}
{"id": "v3_val_00004572", "prompt": "Calculate: 2 * 9 - (-2) * 63", "solution_steps": ["Multiply: 2 * 9 = 18", "Multiply: -2 * 63 = -126", "Subtract: 18 - (-126) = 144"], "final_answer": "144", "answer_type": "integer", "kind": "expression", "math_text": "2 * 9 - (-2) * 63", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": -2, \"d\": 63}", "seed": "7013187650038259565", "semantic_fingerprint": "sha256:bd48b35e12eb785b91490fda7e41332bb7bc8d27f503cf9775d3954477614ed7", "generator_version": "3.0"}
{"id": "v3_val_00004573", "prompt": "Calculate: 9 - (-12) + (709 + (-61 - 15)) * (-7)", "solution_steps": ["Subtract: 9 - (-12) = 21", "Subtract: -61 - 15 = -76", "Add: 709 + (-76) = 633", "Multiply: 633 * (-7) = -4431", "Add: 21 + (-4431) = -4410"], "final_answer": "-4410", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-12) + (709 + (-61 - 15)) * (-7)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* (+ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -12, \"c\": 709, \"d\": -61, \"e\": 15, \"f\": -7}", "seed": "7732131707491013160", "semantic_fingerprint": "sha256:d5af20208f23216ba36806a1de799cb1a1712e1b380faaa995fbe30e22297503", "generator_version": "3.0"}
{"id": "v3_val_00004574", "prompt": "What value of x satisfies x - 653 = -658?", "solution_steps": ["Add 653 to both sides: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 653 = -658", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 653, \"c\": -658, \"x\": -5}", "seed": "3158955645476557488", "semantic_fingerprint": "sha256:4c02b3fbe3817c151be78e5047602008800a7ee15a6ff96d8522652634a86152", "generator_version": "3.0"}
{"id": "v3_val_00004575", "prompt": "Evaluate: 2 / 8 * (-36 + (-806))", "solution_steps": ["Divide: 2 / 8 = 1/4", "Add: -36 + (-806) = -842", "Multiply: (1/4) * (-842) = -421/2"], "final_answer": "-421/2", "answer_type": "rational", "kind": "expression", "math_text": "2 / 8 * (-36 + (-806))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": -36, \"d\": -806}", "seed": "11831394931803087511", "semantic_fingerprint": "sha256:9eab53525ed4c57ae969f97831f9be642cac56fa393b4a3b39a9e7eb6eec7a36", "generator_version": "3.0"}
{"id": "v3_val_00004576", "prompt": "Evaluate: 7 * (-4 + (-93 + 0 * 551)) * 3", "solution_steps": ["Multiply: 0 * 551 = 0", "Add: -93 + 0 = -93", "Add: -4 + (-93) = -97", "Multiply: 7 * (-97) = -679", "Multiply: -679 * 3 = -2037"], "final_answer": "-2037", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-4 + (-93 + 0 * 551)) * 3", "variable": null, "family": "expression_5op", "shape": "(* (* n (+ n (+ n (* n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -4, \"c\": -93, \"d\": 0, \"e\": 551, \"f\": 3}", "seed": "2115372807228086572", "semantic_fingerprint": "sha256:0ed41bde2f56dc1d51f8335cdba82be005570404847c6eb76396440f8794d4b0", "generator_version": "3.0"}
{"id": "v3_val_00004577", "prompt": "What is 975 / 9?", "solution_steps": ["Divide: 975 / 9 = 325/3"], "final_answer": "325/3", "answer_type": "rational", "kind": "expression", "math_text": "975 / 9", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 975, \"b\": 9}", "seed": "4145070592819517536", "semantic_fingerprint": "sha256:9045abfa92ad25d5d37e1c5a3fffc17d72460007c3de6bf8da9081bc72828a8b", "generator_version": "3.0"}
{"id": "v3_val_00004578", "prompt": "Solve for x: 12(x - 4) + 45 = 11x", "solution_steps": ["Expand: 12x - 48 + 45 = 11x", "Combine constants: 12x - 3 = 11x", "Subtract 11x from both sides: x - 3 = 0", "Add 3 to both sides: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 4) + 45 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 11, \"e\": 45, \"x\": 3}", "seed": "17530657651757681190", "semantic_fingerprint": "sha256:658debdf0f55f0b44760c7bbef700fde8bffbebc189fee5b55dddd878d9322f8", "generator_version": "3.0"}
{"id": "v3_val_00004579", "prompt": "Solve the equation x + 35 = 12(x + 1) - 7 for x.", "solution_steps": ["Expand: x + 35 = 12x + 12 - 7", "Combine constants: x + 35 = 12x + 5", "Subtract 12x from both sides: -11x + 35 = 5", "Subtract 35 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": "x + 35 = 12(x + 1) - 7", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 12, \"c\": 1, \"d\": 7}", "seed": "9432342465001155790", "semantic_fingerprint": "sha256:416608a136b79c35c96b267000727754d2c91e8faa6e9a71a36a7f17d7cb5d5b", "generator_version": "3.0"}
{"id": "v3_val_00004580", "prompt": "Evaluate: -18 * (-18) + 7", "solution_steps": ["Multiply: -18 * (-18) = 324", "Add: 324 + 7 = 331"], "final_answer": "331", "answer_type": "integer", "kind": "expression", "math_text": "-18 * (-18) + 7", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -18, \"c\": 7}", "seed": "3933643859129789686", "semantic_fingerprint": "sha256:7aa2a32f6bb172c1670e311787cf1fc75a0633b9584581a37e09b98b283abc72", "generator_version": "3.0"}
{"id": "v3_val_00004581", "prompt": "What is -99 - (-95) * (-9) + (-922)?", "solution_steps": ["Multiply: -95 * (-9) = 855", "Subtract: -99 - 855 = -954", "Add: -954 + (-922) = -1876"], "final_answer": "-1876", "answer_type": "integer", "kind": "expression", "math_text": "-99 - (-95) * (-9) + (-922)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -95, \"c\": -9, \"d\": -922}", "seed": "9105179764949379667", "semantic_fingerprint": "sha256:d4b5078b78b144e65c46936b830d34549d462b12ba85f2798142501a03827885", "generator_version": "3.0"}
{"id": "v3_val_00004582", "prompt": "Calculate: -7 + (-40 - 729)", "solution_steps": ["Subtract: -40 - 729 = -769", "Add: -7 + (-769) = -776"], "final_answer": "-776", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-40 - 729)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -40, \"c\": 729}", "seed": "16981222886417517822", "semantic_fingerprint": "sha256:032543e9b7f94000882ddd4d036b7148e480f9cccdef49bccbca7e11d7612dad", "generator_version": "3.0"}
{"id": "v3_val_00004583", "prompt": "Evaluate: 623 / (-25) * 113", "solution_steps": ["Divide: 623 / (-25) = -623/25", "Multiply: (-623/25) * 113 = -70399/25"], "final_answer": "-70399/25", "answer_type": "rational", "kind": "expression", "math_text": "623 / (-25) * 113", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 623, \"b\": -25, \"c\": 113}", "seed": "18047307081270401682", "semantic_fingerprint": "sha256:2491651e2eb4e7ba7b5ee3d729304197ee9276e9f8329e27c7a058155be0ae49", "generator_version": "3.0"}
{"id": "v3_val_00004584", "prompt": "What value of x satisfies 12(x + 2) + 928 = -10(x - 82)?", "solution_steps": ["Expand: 12x + 24 + 928 = -10(x - 82)", "Expand: 12x + 24 + 928 = -10x + 820", "Combine constants: 12x + 952 = -10x + 820", "Add 10x to both sides: 22x + 952 = 820", "Subtract 952 from both sides: 22x = -132", "Divide both sides by 22: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 2) + 928 = -10(x - 82)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": -10, \"d\": 82, \"f\": 928, \"x\": -6}", "seed": "15880733989277407756", "semantic_fingerprint": "sha256:f19c54bc443d3eecc16e62400b0f8c60ac9f32e0e5eace2d1f6bdc9581fde642", "generator_version": "3.0"}
{"id": "v3_val_00004585", "prompt": "What value of x satisfies x = -11(x - 119)?", "solution_steps": ["Expand: x = -11x + 1309", "Add 11x to both sides: 12x = 1309", "Divide both sides by 12: x = 1309/12"], "final_answer": "1309/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -11(x - 119)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 119}", "seed": "9580565991511641499", "semantic_fingerprint": "sha256:df478007bf68037ef8dc0dfbe660bfa9535ec905b30b5228eb553cd8267cc45d", "generator_version": "3.0"}
{"id": "v3_val_00004586", "prompt": "Evaluate: -45 - 7 + (-2 + (-4))", "solution_steps": ["Subtract: -45 - 7 = -52", "Add: -2 + (-4) = -6", "Add: -52 + (-6) = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-45 - 7 + (-2 + (-4))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 7, \"c\": -2, \"d\": -4}", "seed": "15361444494781392309", "semantic_fingerprint": "sha256:639d0410e4f020ad61bee164544394fb7d762150448a1e7a4748b9643b2d7a46", "generator_version": "3.0"}
{"id": "v3_val_00004587", "prompt": "Calculate: -28 + (-8)", "solution_steps": ["Add: -28 + (-8) = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "expression", "math_text": "-28 + (-8)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -8}", "seed": "10452055192116547713", "semantic_fingerprint": "sha256:35d57f9388bae55ac89908582e752202eb3b30533c5bddd168f6cca7066fcf14", "generator_version": "3.0"}
{"id": "v3_val_00004588", "prompt": "What value of x satisfies 12(x - 840) + 949 = 2(x + 9) + 94?", "solution_steps": ["Expand: 12x - 10080 + 949 = 2(x + 9) + 94", "Expand: 12x - 10080 + 949 = 2x + 18 + 94", "Combine constants: 12x - 9131 = 2x + 18 + 94", "Combine constants: 12x - 9131 = 2x + 112", "Subtract 2x from both sides: 10x - 9131 = 112", "Add 9131 to both sides: 10x = 9243", "Divide both sides by 10: x = 9243/10"], "final_answer": "9243/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 840) + 949 = 2(x + 9) + 94", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 840, \"c\": 949, \"d\": 2, \"e\": 9, \"f\": 94}", "seed": "12246104415970713174", "semantic_fingerprint": "sha256:8900d9181f8980a554b54dc90bde4ea5e52ef7984daaf41fa8abe6473a7eafe2", "generator_version": "3.0"}
{"id": "v3_val_00004589", "prompt": "Compute: 8 / (-256) / (-33)", "solution_steps": ["Divide: 8 / (-256) = -1/32", "Divide: (-1/32) / (-33) = 1/1056"], "final_answer": "1/1056", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-256) / (-33)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -256, \"c\": -33}", "seed": "5659196820080389914", "semantic_fingerprint": "sha256:c7f6ae9567185945cc49167bf0174f34b4d82ebdb4a821f88d800e8904fd7303", "generator_version": "3.0"}
{"id": "v3_val_00004590", "prompt": "Calculate: -135 / (199 + (0 + 8))", "solution_steps": ["Add: 0 + 8 = 8", "Add: 199 + 8 = 207", "Divide: -135 / 207 = -15/23"], "final_answer": "-15/23", "answer_type": "rational", "kind": "expression", "math_text": "-135 / (199 + (0 + 8))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -135, \"b\": 199, \"c\": 0, \"d\": 8}", "seed": "1002459547193278945", "semantic_fingerprint": "sha256:8d90687f58d3902c1e6615e09f64951f9b3010406fa54c831538bef4d80356f0", "generator_version": "3.0"}
{"id": "v3_val_00004591", "prompt": "Evaluate: -8 - (-2 * (-6) - 891) - (-9)", "solution_steps": ["Multiply: -2 * (-6) = 12", "Subtract: 12 - 891 = -879", "Subtract: -8 - (-879) = 871", "Subtract: 871 - (-9) = 880"], "final_answer": "880", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-2 * (-6) - 891) - (-9)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -2, \"c\": -6, \"d\": 891, \"e\": -9}", "seed": "7190678983484118612", "semantic_fingerprint": "sha256:46ebfb3d0e4960715dab85046238f9f793174d11453b21108f1dea7c0bb07dde", "generator_version": "3.0"}
{"id": "v3_val_00004592", "prompt": "Find x: 2x + 160 = 10x", "solution_steps": ["Subtract 10x 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": "2x + 160 = 10x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"d\": 160, \"x\": 20}", "seed": "15973490581357996342", "semantic_fingerprint": "sha256:4ca66900753e4becf5854dfc621fb0d26e834bcb15214bf15de533f2078dde34", "generator_version": "3.0"}
{"id": "v3_val_00004593", "prompt": "Evaluate: 68 + 5 + (22 - (-69 - (-81)))", "solution_steps": ["Add: 68 + 5 = 73", "Subtract: -69 - (-81) = 12", "Subtract: 22 - 12 = 10", "Add: 73 + 10 = 83"], "final_answer": "83", "answer_type": "integer", "kind": "expression", "math_text": "68 + 5 + (22 - (-69 - (-81)))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 5, \"c\": 22, \"d\": -69, \"e\": -81}", "seed": "3746325704825433864", "semantic_fingerprint": "sha256:8244cb8c93ca0029ffb5c1a30daa3e67f6df7e40943372eef1da3819847fc4ff", "generator_version": "3.0"}
{"id": "v3_val_00004594", "prompt": "What is (1 * (-4) - (-481)) * (-38)?", "solution_steps": ["Multiply: 1 * (-4) = -4", "Subtract: -4 - (-481) = 477", "Multiply: 477 * (-38) = -18126"], "final_answer": "-18126", "answer_type": "integer", "kind": "expression", "math_text": "(1 * (-4) - (-481)) * (-38)", "variable": null, "family": "expression_3op", "shape": "(* (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -4, \"c\": -481, \"d\": -38}", "seed": "14759558582109128546", "semantic_fingerprint": "sha256:8f6c1463a962e6e19f1c1c007d48edc590155f44cc7c44b0982082de08f0d3cb", "generator_version": "3.0"}
{"id": "v3_val_00004595", "prompt": "Calculate: 1 / (-93)", "solution_steps": ["Divide: 1 / (-93) = -1/93"], "final_answer": "-1/93", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-93)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -93}", "seed": "6534943756886850614", "semantic_fingerprint": "sha256:77718e82a7fb015d47070a45dd5002634fd9f94dbd7e519441d2921e8a7f5cf7", "generator_version": "3.0"}
{"id": "v3_val_00004596", "prompt": "What is -2 + (-393) * 973?", "solution_steps": ["Multiply: -393 * 973 = -382389", "Add: -2 + (-382389) = -382391"], "final_answer": "-382391", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-393) * 973", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -393, \"c\": 973}", "seed": "10842724823893335867", "semantic_fingerprint": "sha256:9ba42c308f4e044246e5dead4ee7f232cb4115af8547387451e8430ba095f5fa", "generator_version": "3.0"}
{"id": "v3_val_00004597", "prompt": "Compute: 3 * (66 + (-80))", "solution_steps": ["Add: 66 + (-80) = -14", "Multiply: 3 * (-14) = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "expression", "math_text": "3 * (66 + (-80))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 66, \"c\": -80}", "seed": "17390830426602367140", "semantic_fingerprint": "sha256:e096dcc382d9b832bc3251c324b8ccf2d135181d4ab629fbb74883542d2db59c", "generator_version": "3.0"}
{"id": "v3_val_00004598", "prompt": "What is 62 - (-390)?", "solution_steps": ["Subtract: 62 - (-390) = 452"], "final_answer": "452", "answer_type": "integer", "kind": "expression", "math_text": "62 - (-390)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -390}", "seed": "16730433754076649553", "semantic_fingerprint": "sha256:72ea4e5edb61b523762df0de9a57772b2918eb8fca5b737c23358abf773b31c7", "generator_version": "3.0"}
{"id": "v3_val_00004599", "prompt": "What value of x satisfies x = -8(x + 45) + 396?", "solution_steps": ["Expand: x = -8x - 360 + 396", "Combine constants: x = -8x + 36", "Add 8x to both sides: 9x = 36", "Divide both sides by 9: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -8(x + 45) + 396", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 45, \"d\": 396, \"x\": 4}", "seed": "2477523771493012002", "semantic_fingerprint": "sha256:49445f0c490b3ec8b55263151c83599606f7acabe4bab310895faca8cc90cb01", "generator_version": "3.0"}
{"id": "v3_val_00004600", "prompt": "Compute: 54 + 306 * (-2) * 926", "solution_steps": ["Multiply: 306 * (-2) = -612", "Multiply: -612 * 926 = -566712", "Add: 54 + (-566712) = -566658"], "final_answer": "-566658", "answer_type": "integer", "kind": "expression", "math_text": "54 + 306 * (-2) * 926", "variable": null, "family": "expression_3op", "shape": "(+ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 306, \"c\": -2, \"d\": 926}", "seed": "6957074372042126258", "semantic_fingerprint": "sha256:8552fb5e0be3606cfef62dc67641830bbf74502ec4c57bac24d033bdb7c37c4c", "generator_version": "3.0"}
{"id": "v3_val_00004601", "prompt": "What value of x satisfies 11(x - 90) + 20 = x - 66?", "solution_steps": ["Expand: 11x - 990 + 20 = x - 66", "Combine constants: 11x - 970 = x - 66", "Subtract x from both sides: 10x - 970 = -66", "Add 970 to both sides: 10x = 904", "Divide both sides by 10: x = 452/5"], "final_answer": "452/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 90) + 20 = x - 66", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 90, \"c\": 20, \"d\": 66}", "seed": "12391127219336439756", "semantic_fingerprint": "sha256:8d41eea448f1460d5bfc317f494340f0d6015f9705587d2c31fb911b584b264a", "generator_version": "3.0"}
{"id": "v3_val_00004602", "prompt": "Calculate: (535 / 4 - 1) / (28 / (-57))", "solution_steps": ["Divide: 535 / 4 = 535/4", "Subtract: 535/4 - 1 = 531/4", "Divide: 28 / (-57) = -28/57", "Divide: (531/4) / (-28/57) = -30267/112"], "final_answer": "-30267/112", "answer_type": "rational", "kind": "expression", "math_text": "(535 / 4 - 1) / (28 / (-57))", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 535, \"b\": 4, \"c\": 1, \"d\": 28, \"e\": -57}", "seed": "8776557617118224601", "semantic_fingerprint": "sha256:6d04c969b1c9a062d2ca28ddd7c2751bbed90e6fff63420af16f418179d93441", "generator_version": "3.0"}
{"id": "v3_val_00004603", "prompt": "Solve for x: x + 28 = -2x + 52", "solution_steps": ["Add 2x to both sides: 3x + 28 = 52", "Subtract 28 from both sides: 3x = 24", "Divide both sides by 3: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 28 = -2x + 52", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -2, \"d\": 52, \"x\": 8}", "seed": "11330222358612440295", "semantic_fingerprint": "sha256:ace2894447c35277fe764ef42141db956cc64b4a5c15679bf848691e6bf9d3ec", "generator_version": "3.0"}
{"id": "v3_val_00004604", "prompt": "Compute: 28 / (-25 * (0 - (-406 + 26)))", "solution_steps": ["Add: -406 + 26 = -380", "Subtract: 0 - (-380) = 380", "Multiply: -25 * 380 = -9500", "Divide: 28 / (-9500) = -7/2375"], "final_answer": "-7/2375", "answer_type": "rational", "kind": "expression", "math_text": "28 / (-25 * (0 - (-406 + 26)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (- n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -25, \"c\": 0, \"d\": -406, \"e\": 26}", "seed": "8178668987969176582", "semantic_fingerprint": "sha256:e7d0728b20d239d355be5215b73d7c0c0c6caf3c494c7053d97a630c47273aaf", "generator_version": "3.0"}
{"id": "v3_val_00004605", "prompt": "What is -3 / 2 - 0?", "solution_steps": ["Divide: -3 / 2 = -3/2", "Subtract: -3/2 - 0 = -3/2"], "final_answer": "-3/2", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 2 - 0", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 0}", "seed": "5521444271920853486", "semantic_fingerprint": "sha256:239c94d11af3c066a221155177cc74ee242c5baf5fb0f69ce38ef4ca43ea0c59", "generator_version": "3.0"}
{"id": "v3_val_00004606", "prompt": "Evaluate: (662 - 3) / 53", "solution_steps": ["Subtract: 662 - 3 = 659", "Divide: 659 / 53 = 659/53"], "final_answer": "659/53", "answer_type": "rational", "kind": "expression", "math_text": "(662 - 3) / 53", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 662, \"b\": 3, \"c\": 53}", "seed": "1393262085356675868", "semantic_fingerprint": "sha256:a1be3e6bee1872ac771e967e315a50b9543d9ff2eee1d9fba7c5452990668eda", "generator_version": "3.0"}
{"id": "v3_val_00004607", "prompt": "Compute: (-7 - 37) * (-68)", "solution_steps": ["Subtract: -7 - 37 = -44", "Multiply: -44 * (-68) = 2992"], "final_answer": "2992", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - 37) * (-68)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 37, \"c\": -68}", "seed": "13198329035482505133", "semantic_fingerprint": "sha256:fc1f0a058fe65c2dc663295768621c4e2163500a245a52e579b5ac25ded0e23a", "generator_version": "3.0"}
{"id": "v3_val_00004608", "prompt": "Solve for x: 3(x - 51) + 129 = 11x", "solution_steps": ["Expand: 3x - 153 + 129 = 11x", "Combine constants: 3x - 24 = 11x", "Subtract 11x from both sides: -8x - 24 = 0", "Add 24 to both sides: -8x = 24", "Divide both sides by -8: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 51) + 129 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 51, \"c\": 11, \"e\": 129, \"x\": -3}", "seed": "5110305742815066452", "semantic_fingerprint": "sha256:0383c3bd883cb6930bb6edc4c31eb7a9b2186d41a30517df3317fd45c6d9517f", "generator_version": "3.0"}
{"id": "v3_val_00004609", "prompt": "Solve for x: x - 29 = 7", "solution_steps": ["Add 29 to both sides: x = 36"], "final_answer": "36", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 29 = 7", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 7}", "seed": "3789654040622084395", "semantic_fingerprint": "sha256:d7aa4632e3628f1db16433923262b031911280797b0566180d8a60fe59bff538", "generator_version": "3.0"}
{"id": "v3_val_00004610", "prompt": "What is 90 / 34?", "solution_steps": ["Divide: 90 / 34 = 45/17"], "final_answer": "45/17", "answer_type": "rational", "kind": "expression", "math_text": "90 / 34", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 34}", "seed": "16203142019474192253", "semantic_fingerprint": "sha256:4b946417a3ed3d9f20d5d0b12b345aeef0e084fb5e0e35576f89a506b45ef6c9", "generator_version": "3.0"}
{"id": "v3_val_00004611", "prompt": "What is (-3 - (-8)) * 313?", "solution_steps": ["Subtract: -3 - (-8) = 5", "Multiply: 5 * 313 = 1565"], "final_answer": "1565", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - (-8)) * 313", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -8, \"c\": 313}", "seed": "15829773571880058107", "semantic_fingerprint": "sha256:f16579adb7fba09b702a43c6a509140b60c9bf3f7791e8f6edd74381b7fcbb03", "generator_version": "3.0"}
{"id": "v3_val_00004612", "prompt": "Solve the equation 3(x + 39) - 339 = 7x - 20 for x.", "solution_steps": ["Expand: 3x + 117 - 339 = 7x - 20", "Combine constants: 3x - 222 = 7x - 20", "Subtract 7x from both sides: -4x - 222 = -20", "Add 222 to both sides: -4x = 202", "Divide both sides by -4: x = -101/2"], "final_answer": "-101/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 39) - 339 = 7x - 20", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 39, \"c\": 339, \"d\": 7, \"e\": 20}", "seed": "10247376167151272695", "semantic_fingerprint": "sha256:7f47bab8d7dfadae0958062ed15726cf865a8d6351ebb7e0966241cc55643a65", "generator_version": "3.0"}
{"id": "v3_val_00004613", "prompt": "Compute: 8 - (-664)", "solution_steps": ["Subtract: 8 - (-664) = 672"], "final_answer": "672", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-664)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -664}", "seed": "15136803816194500250", "semantic_fingerprint": "sha256:76e65e0369b63139e3430f217ed03b46e6e9b18bfa4dcc1f396a8be1c216b8e6", "generator_version": "3.0"}
{"id": "v3_val_00004614", "prompt": "Compute: 646 / (-9) - (-1)", "solution_steps": ["Divide: 646 / (-9) = -646/9", "Subtract: -646/9 - (-1) = -637/9"], "final_answer": "-637/9", "answer_type": "rational", "kind": "expression", "math_text": "646 / (-9) - (-1)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 646, \"b\": -9, \"c\": -1}", "seed": "7086064615091639398", "semantic_fingerprint": "sha256:41577b0562441050da8e7c2af47e4a51da55061ebee20954a6cfa07e49f79082", "generator_version": "3.0"}
{"id": "v3_val_00004615", "prompt": "Compute: (535 + 82 * (-7)) * (-63) * (-18) / (-384)", "solution_steps": ["Multiply: 82 * (-7) = -574", "Add: 535 + (-574) = -39", "Multiply: -39 * (-63) = 2457", "Multiply: 2457 * (-18) = -44226", "Divide: -44226 / (-384) = 7371/64"], "final_answer": "7371/64", "answer_type": "rational", "kind": "expression", "math_text": "(535 + 82 * (-7)) * (-63) * (-18) / (-384)", "variable": null, "family": "expression_5op", "shape": "(/ (* (* (+ n (* n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 535, \"b\": 82, \"c\": -7, \"d\": -63, \"e\": -18, \"f\": -384}", "seed": "8629348269890246481", "semantic_fingerprint": "sha256:87dddb5ddb24d0b5dd3aef73c08a853f4bc252344c83ee2513f6a6791a9cd2fc", "generator_version": "3.0"}
{"id": "v3_val_00004616", "prompt": "What value of x satisfies 6(x - 54) + 274 = x?", "solution_steps": ["Expand: 6x - 324 + 274 = x", "Combine constants: 6x - 50 = x", "Subtract x from both sides: 5x - 50 = 0", "Add 50 to both sides: 5x = 50", "Divide both sides by 5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 54) + 274 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 54, \"d\": 274, \"x\": 10}", "seed": "8220911349408139580", "semantic_fingerprint": "sha256:5188c96abf262039f97dc2f483ae90054dd7c8eb27852505b74c84cc27363448", "generator_version": "3.0"}
{"id": "v3_val_00004617", "prompt": "What is -871 / 34 + (-76) * 236?", "solution_steps": ["Divide: -871 / 34 = -871/34", "Multiply: -76 * 236 = -17936", "Add: -871/34 + (-17936) = -610695/34"], "final_answer": "-610695/34", "answer_type": "rational", "kind": "expression", "math_text": "-871 / 34 + (-76) * 236", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -871, \"b\": 34, \"c\": -76, \"d\": 236}", "seed": "9324152092675372125", "semantic_fingerprint": "sha256:39843bce0e98caa7a6d09eab161c687095584f18b10d0fc715dc9af762053f71", "generator_version": "3.0"}
{"id": "v3_val_00004618", "prompt": "Calculate: 765 * 4 - (838 + 346)", "solution_steps": ["Multiply: 765 * 4 = 3060", "Add: 838 + 346 = 1184", "Subtract: 3060 - 1184 = 1876"], "final_answer": "1876", "answer_type": "integer", "kind": "expression", "math_text": "765 * 4 - (838 + 346)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 765, \"b\": 4, \"c\": 838, \"d\": 346}", "seed": "9135871304191274703", "semantic_fingerprint": "sha256:1785f7664ec7db3b9e00dc91be230c8101f68780555ca5c145c06e6bcbf765cc", "generator_version": "3.0"}
{"id": "v3_val_00004619", "prompt": "Find x: 9x + 87 = x + 207", "solution_steps": ["Subtract x from both sides: 8x + 87 = 207", "Subtract 87 from both sides: 8x = 120", "Divide both sides by 8: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 87 = x + 207", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 87, \"d\": 207, \"x\": 15}", "seed": "15831094989239136299", "semantic_fingerprint": "sha256:14cad001d177d0891623bbb6243d44476b765a9701f8c4f91bdb580ff6b9515f", "generator_version": "3.0"}
{"id": "v3_val_00004620", "prompt": "Find x: 5(x + 23) + 9 = -5(x - 7)", "solution_steps": ["Expand: 5x + 115 + 9 = -5(x - 7)", "Expand: 5x + 115 + 9 = -5x + 35", "Combine constants: 5x + 124 = -5x + 35", "Add 5x to both sides: 10x + 124 = 35", "Subtract 124 from both sides: 10x = -89", "Divide both sides by 10: x = -89/10"], "final_answer": "-89/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 23) + 9 = -5(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 23, \"c\": 9, \"d\": -5, \"e\": 7}", "seed": "5886942097343556124", "semantic_fingerprint": "sha256:7b6ebcd73a1cc269e854fc058e0f95172a3468e72fccf0add9749bd57dc6f2d2", "generator_version": "3.0"}
{"id": "v3_val_00004621", "prompt": "Solve the equation -10(x + 51) = -8x - 494 for x.", "solution_steps": ["Expand: -10x - 510 = -8x - 494", "Add 8x to both sides: -2x - 510 = -494", "Add 510 to both sides: -2x = 16", "Divide both sides by -2: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 51) = -8x - 494", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 51, \"c\": -8, \"e\": -494, \"x\": -8}", "seed": "6270906229919302479", "semantic_fingerprint": "sha256:7ff285f092e3973f304caa75bb06daa240e93311748f13638a79aad4fe1858f3", "generator_version": "3.0"}
{"id": "v3_val_00004622", "prompt": "Solve the equation -6x - 9 = x for x.", "solution_steps": ["Subtract x from both sides: -7x - 9 = 0", "Add 9 to both sides: -7x = 9", "Divide both sides by -7: x = -9/7"], "final_answer": "-9/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x - 9 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9}", "seed": "6137007165450659427", "semantic_fingerprint": "sha256:9080b6cc2b8d86ff98fbff93f0eb22bd16daba3f8d75c88ac1bf5fccbe52d8e0", "generator_version": "3.0"}
{"id": "v3_val_00004623", "prompt": "What is 46 * (22 + (76 + 1))?", "solution_steps": ["Add: 76 + 1 = 77", "Add: 22 + 77 = 99", "Multiply: 46 * 99 = 4554"], "final_answer": "4554", "answer_type": "integer", "kind": "expression", "math_text": "46 * (22 + (76 + 1))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 22, \"c\": 76, \"d\": 1}", "seed": "2267970888896913645", "semantic_fingerprint": "sha256:01efc3116a00534d1b782b69923da8f0626fa35d890c330c3ae5bf8ed96e60e5", "generator_version": "3.0"}
{"id": "v3_val_00004624", "prompt": "Evaluate: -8 + 44", "solution_steps": ["Add: -8 + 44 = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 44", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 44}", "seed": "9504339890889170472", "semantic_fingerprint": "sha256:ef611f80980a29a66cb4baeb57f6451c4021bede697218f3e29a32687b1ad009", "generator_version": "3.0"}
{"id": "v3_val_00004625", "prompt": "Solve the equation 12x = -12 for x.", "solution_steps": ["Divide both sides by 12: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = -12", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -12, \"x\": -1}", "seed": "3226398117342637458", "semantic_fingerprint": "sha256:458cf1ccab84cfb1f8c66c5f2e4776182c165141fc35be7f3b72713f095e7fc0", "generator_version": "3.0"}
{"id": "v3_val_00004626", "prompt": "Evaluate: -1 - (-5) * (-516)", "solution_steps": ["Multiply: -5 * (-516) = 2580", "Subtract: -1 - 2580 = -2581"], "final_answer": "-2581", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-5) * (-516)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -5, \"c\": -516}", "seed": "7802646031104785934", "semantic_fingerprint": "sha256:d8f807ecd66782d03be26542210fa24e22f00c8dc65b4f9db4f872520115c820", "generator_version": "3.0"}
{"id": "v3_val_00004627", "prompt": "Evaluate: 524 / (2 + (-96)) / (-71)", "solution_steps": ["Add: 2 + (-96) = -94", "Divide: 524 / (-94) = -262/47", "Divide: (-262/47) / (-71) = 262/3337"], "final_answer": "262/3337", "answer_type": "rational", "kind": "expression", "math_text": "524 / (2 + (-96)) / (-71)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 524, \"b\": 2, \"c\": -96, \"d\": -71}", "seed": "14432641016268720886", "semantic_fingerprint": "sha256:f6055ee4c140296f2cf33c9dd5d6eee5cb90042941211cb8e2f96e204e7cfc44", "generator_version": "3.0"}
{"id": "v3_val_00004628", "prompt": "Calculate: 2 - (-512) - 261 * 3", "solution_steps": ["Subtract: 2 - (-512) = 514", "Multiply: 261 * 3 = 783", "Subtract: 514 - 783 = -269"], "final_answer": "-269", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-512) - 261 * 3", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -512, \"c\": 261, \"d\": 3}", "seed": "8845309281710955983", "semantic_fingerprint": "sha256:14d0ffb95a5bd49dfe9c6f03a74efb29f5d76290483ec5568ceb610c88f4e71f", "generator_version": "3.0"}
{"id": "v3_val_00004629", "prompt": "Compute: 3 - 894 - (-17) * 25", "solution_steps": ["Subtract: 3 - 894 = -891", "Multiply: -17 * 25 = -425", "Subtract: -891 - (-425) = -466"], "final_answer": "-466", "answer_type": "integer", "kind": "expression", "math_text": "3 - 894 - (-17) * 25", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 894, \"c\": -17, \"d\": 25}", "seed": "11769904366021256790", "semantic_fingerprint": "sha256:0215720e4e70834517d3e59696837595fd0bc2ed94863d2c73611224f9eba92e", "generator_version": "3.0"}
{"id": "v3_val_00004630", "prompt": "Solve for x: x = 2(x - 82) - 678", "solution_steps": ["Expand: x = 2x - 164 - 678", "Combine constants: x = 2x - 842", "Subtract 2x from both sides: -x = -842", "Divide both sides by -1: x = 842"], "final_answer": "842", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x - 82) - 678", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 82, \"c\": 678}", "seed": "9488200884460909227", "semantic_fingerprint": "sha256:42d6087307032d20b395657195a7db9d1ba6432d96374707ae11ac54bb320a29", "generator_version": "3.0"}
{"id": "v3_val_00004631", "prompt": "What value of x satisfies x + 6 = 9(x + 21) - 31?", "solution_steps": ["Expand: x + 6 = 9x + 189 - 31", "Combine constants: x + 6 = 9x + 158", "Subtract 9x from both sides: -8x + 6 = 158", "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": "x + 6 = 9(x + 21) - 31", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 21, \"e\": -31, \"x\": -19}", "seed": "14795391257983520890", "semantic_fingerprint": "sha256:9cd31713bb76ad45e189906132b10afeaa1a42624af8dafa933050db7d893b01", "generator_version": "3.0"}
{"id": "v3_val_00004632", "prompt": "Calculate: 11 / 583 * (-65)", "solution_steps": ["Divide: 11 / 583 = 1/53", "Multiply: (1/53) * (-65) = -65/53"], "final_answer": "-65/53", "answer_type": "rational", "kind": "expression", "math_text": "11 / 583 * (-65)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 583, \"c\": -65}", "seed": "6507209972352198468", "semantic_fingerprint": "sha256:57445c570fc6c67ca7b8c852bf431002dc6f3d9581af9a0387fd3edc4ad7acc3", "generator_version": "3.0"}
{"id": "v3_val_00004633", "prompt": "Solve for x: 4(x + 2) = x + 50", "solution_steps": ["Expand: 4x + 8 = x + 50", "Subtract x from both sides: 3x + 8 = 50", "Subtract 8 from both sides: 3x = 42", "Divide both sides by 3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 2) = x + 50", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"d\": 50, \"x\": 14}", "seed": "14154742705478988477", "semantic_fingerprint": "sha256:627c740ab412d5ad23def248707e5c00131f6b1ae98799be2c0d4a7dd79fd730", "generator_version": "3.0"}
{"id": "v3_val_00004634", "prompt": "Calculate: -29 * (-47)", "solution_steps": ["Multiply: -29 * (-47) = 1363"], "final_answer": "1363", "answer_type": "integer", "kind": "expression", "math_text": "-29 * (-47)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -47}", "seed": "1686256323849794589", "semantic_fingerprint": "sha256:d9ae94ce7f1928420b9221125d2106b4ef0c4a2aaf755409f29b9853e8c6de78", "generator_version": "3.0"}
{"id": "v3_val_00004635", "prompt": "What value of x satisfies 12x - 198 = x?", "solution_steps": ["Subtract x from both sides: 11x - 198 = 0", "Add 198 to both sides: 11x = 198", "Divide both sides by 11: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 198 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -198, \"x\": 18}", "seed": "8527794275636971348", "semantic_fingerprint": "sha256:7ed7254f695b2939714495acc84ab5693be582bf6eff70b8180b74e08fbb76a3", "generator_version": "3.0"}
{"id": "v3_val_00004636", "prompt": "Solve for x: -6x = x - 2", "solution_steps": ["Subtract x from both sides: -7x = -2", "Divide both sides by -7: x = 2/7"], "final_answer": "2/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x = x - 2", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2}", "seed": "7044281170672388902", "semantic_fingerprint": "sha256:23bf02b0bd1a5c90a62998430c53a28eb96ce98dec39ff78d2fe5419a333045f", "generator_version": "3.0"}
{"id": "v3_val_00004637", "prompt": "Evaluate: 4 + (-294) * (113 / 66) + (-593) / (-35)", "solution_steps": ["Divide: 113 / 66 = 113/66", "Multiply: -294 * (113/66) = -5537/11", "Add: 4 + (-5537/11) = -5493/11", "Divide: -593 / (-35) = 593/35", "Add: -5493/11 + 593/35 = -185732/385"], "final_answer": "-185732/385", "answer_type": "rational", "kind": "expression", "math_text": "4 + (-294) * (113 / 66) + (-593) / (-35)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n (/ n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -294, \"c\": 113, \"d\": 66, \"e\": -593, \"f\": -35}", "seed": "12595353533847627707", "semantic_fingerprint": "sha256:36d61e372aa0501cc45a70be488048a2cf602287d491ab7ee91f109aa5aec6d4", "generator_version": "3.0"}
{"id": "v3_val_00004638", "prompt": "Evaluate: -47 / 40 / (-59 / 35)", "solution_steps": ["Divide: -47 / 40 = -47/40", "Divide: -59 / 35 = -59/35", "Divide: (-47/40) / (-59/35) = 329/472"], "final_answer": "329/472", "answer_type": "rational", "kind": "expression", "math_text": "-47 / 40 / (-59 / 35)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 40, \"c\": -59, \"d\": 35}", "seed": "7930981916227047130", "semantic_fingerprint": "sha256:701ed193d0d201f566a438a938a55c75c286faa563b77e6207da3cce9472936f", "generator_version": "3.0"}
{"id": "v3_val_00004639", "prompt": "Find x: 9x - 96 = x", "solution_steps": ["Subtract x 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": "9x - 96 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": -96, \"x\": 12}", "seed": "15419388088257874071", "semantic_fingerprint": "sha256:ac8cc8909fa1657b45602d6851da0150fb9eee6680b1788947bc863f08b44fed", "generator_version": "3.0"}
{"id": "v3_val_00004640", "prompt": "Compute: 185 - (-586)", "solution_steps": ["Subtract: 185 - (-586) = 771"], "final_answer": "771", "answer_type": "integer", "kind": "expression", "math_text": "185 - (-586)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 185, \"b\": -586}", "seed": "14201945258309164897", "semantic_fingerprint": "sha256:82cd8c1cf4b21730fe23b8d6e17447529fd06e9176566f9e073c6333dec78b59", "generator_version": "3.0"}
{"id": "v3_val_00004641", "prompt": "Evaluate: (58 + 2) * (74 - (73 + 65 * (-12)))", "solution_steps": ["Add: 58 + 2 = 60", "Multiply: 65 * (-12) = -780", "Add: 73 + (-780) = -707", "Subtract: 74 - (-707) = 781", "Multiply: 60 * 781 = 46860"], "final_answer": "46860", "answer_type": "integer", "kind": "expression", "math_text": "(58 + 2) * (74 - (73 + 65 * (-12)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (- n (+ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 2, \"c\": 74, \"d\": 73, \"e\": 65, \"f\": -12}", "seed": "15619546606822991510", "semantic_fingerprint": "sha256:c20be3415d2dcbcb69d4ddb4c678b657abef6065e9eb4b9628f57fe054363a2c", "generator_version": "3.0"}
{"id": "v3_val_00004642", "prompt": "What is 301 / (-4) * (-8)?", "solution_steps": ["Divide: 301 / (-4) = -301/4", "Multiply: (-301/4) * (-8) = 602"], "final_answer": "602", "answer_type": "integer", "kind": "expression", "math_text": "301 / (-4) * (-8)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 301, \"b\": -4, \"c\": -8}", "seed": "12294005202711483914", "semantic_fingerprint": "sha256:f64d995f2d1c80205866d8efa0f4781b988fa59719eeb27ad12279ff0b3657ee", "generator_version": "3.0"}
{"id": "v3_val_00004643", "prompt": "Compute: -2 + (-516 - 853) - 396", "solution_steps": ["Subtract: -516 - 853 = -1369", "Add: -2 + (-1369) = -1371", "Subtract: -1371 - 396 = -1767"], "final_answer": "-1767", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-516 - 853) - 396", "variable": null, "family": "expression_3op", "shape": "(- (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -516, \"c\": 853, \"d\": 396}", "seed": "17317746705369552506", "semantic_fingerprint": "sha256:bc4e8fd019c76e5ac0042933bcfec8595bd710d0a46c2d6211dcb6688c14170a", "generator_version": "3.0"}
{"id": "v3_val_00004644", "prompt": "Find x: -10(x + 35) = 9(x + 36) - 788", "solution_steps": ["Expand: -10x - 350 = 9(x + 36) - 788", "Expand: -10x - 350 = 9x + 324 - 788", "Combine constants: -10x - 350 = 9x - 464", "Subtract 9x from both sides: -19x - 350 = -464", "Add 350 to both sides: -19x = -114", "Divide both sides by -19: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 35) = 9(x + 36) - 788", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 35, \"c\": 9, \"d\": 36, \"f\": -788, \"x\": 6}", "seed": "8580512880294379658", "semantic_fingerprint": "sha256:6c4eb5776d45fe70ce386945c91b01213cbb143fa4576c7fc7da5bed8529bfb3", "generator_version": "3.0"}
{"id": "v3_val_00004645", "prompt": "Evaluate: 747 * (-604) - 423 * 1", "solution_steps": ["Multiply: 747 * (-604) = -451188", "Multiply: 423 * 1 = 423", "Subtract: -451188 - 423 = -451611"], "final_answer": "-451611", "answer_type": "integer", "kind": "expression", "math_text": "747 * (-604) - 423 * 1", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 747, \"b\": -604, \"c\": 423, \"d\": 1}", "seed": "6889394294182684974", "semantic_fingerprint": "sha256:4afe3e70e43b5c843740dab51a580910c15a7f145183fc5db41155f3041f3160", "generator_version": "3.0"}
{"id": "v3_val_00004646", "prompt": "Solve the equation 12x - 913 = -5x + 198 for x.", "solution_steps": ["Add 5x to both sides: 17x - 913 = 198", "Add 913 to both sides: 17x = 1111", "Divide both sides by 17: x = 1111/17"], "final_answer": "1111/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 913 = -5x + 198", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 913, \"c\": -5, \"d\": 198}", "seed": "3843961560392473509", "semantic_fingerprint": "sha256:9a5ba78d222a367b8a2244a82798e37c54dfd60abc7d27be1d0a4113f1ebd0f0", "generator_version": "3.0"}
{"id": "v3_val_00004647", "prompt": "Evaluate: (544 + (-6)) / (-12)", "solution_steps": ["Add: 544 + (-6) = 538", "Divide: 538 / (-12) = -269/6"], "final_answer": "-269/6", "answer_type": "rational", "kind": "expression", "math_text": "(544 + (-6)) / (-12)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 544, \"b\": -6, \"c\": -12}", "seed": "13932213407248923659", "semantic_fingerprint": "sha256:0df743c438516e8fdada42bac5c15bacb77c5b43c209821512d08f74987b8562", "generator_version": "3.0"}
{"id": "v3_val_00004648", "prompt": "Compute: -7 / (-7) / 2", "solution_steps": ["Divide: -7 / (-7) = 1", "Divide: 1 / 2 = 1/2"], "final_answer": "1/2", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-7) / 2", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -7, \"c\": 2}", "seed": "2885311635223674654", "semantic_fingerprint": "sha256:66d1956fd42b194f622f565ff7a86d262e51c54fcc3a1b7e92277fbfa17ca4e7", "generator_version": "3.0"}
{"id": "v3_val_00004649", "prompt": "Evaluate: 10 - 710 * (-20) * (-58 / 49)", "solution_steps": ["Multiply: 710 * (-20) = -14200", "Divide: -58 / 49 = -58/49", "Multiply: -14200 * (-58/49) = 823600/49", "Subtract: 10 - 823600/49 = -823110/49"], "final_answer": "-823110/49", "answer_type": "rational", "kind": "expression", "math_text": "10 - 710 * (-20) * (-58 / 49)", "variable": null, "family": "expression_4op", "shape": "(- n (* (* n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 710, \"c\": -20, \"d\": -58, \"e\": 49}", "seed": "12350095014180791376", "semantic_fingerprint": "sha256:1536b658e1eb1409570d962a145e0cf2ed8c1654ce3181e5de92a231f515feef", "generator_version": "3.0"}
{"id": "v3_val_00004650", "prompt": "Evaluate: 196 + 49", "solution_steps": ["Add: 196 + 49 = 245"], "final_answer": "245", "answer_type": "integer", "kind": "expression", "math_text": "196 + 49", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 196, \"b\": 49}", "seed": "15309011622784952923", "semantic_fingerprint": "sha256:95e12ed37be947d8c195dfe8962a4b3b1b1b1d644bcb5c8f4eee9ed943e1cfbf", "generator_version": "3.0"}
{"id": "v3_val_00004651", "prompt": "Calculate: (-9 + (-3)) / (46 - 4)", "solution_steps": ["Add: -9 + (-3) = -12", "Subtract: 46 - 4 = 42", "Divide: -12 / 42 = -2/7"], "final_answer": "-2/7", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + (-3)) / (46 - 4)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -3, \"c\": 46, \"d\": 4}", "seed": "10768282680368258484", "semantic_fingerprint": "sha256:013564722b921d8179c0c627c7a8e2d83e1363e5447d6eeb31fa68bd214a7cb7", "generator_version": "3.0"}
{"id": "v3_val_00004652", "prompt": "Evaluate: -378 - (-34) - (-20) / (-7 * 37)", "solution_steps": ["Subtract: -378 - (-34) = -344", "Multiply: -7 * 37 = -259", "Divide: -20 / (-259) = 20/259", "Subtract: -344 - 20/259 = -89116/259"], "final_answer": "-89116/259", "answer_type": "rational", "kind": "expression", "math_text": "-378 - (-34) - (-20) / (-7 * 37)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -378, \"b\": -34, \"c\": -20, \"d\": -7, \"e\": 37}", "seed": "1939008047384242349", "semantic_fingerprint": "sha256:935e729dc4b3909d9b5a379881ad5aa530c057b825985a9cee5246fd96000563", "generator_version": "3.0"}
{"id": "v3_val_00004653", "prompt": "What is -198 + (6 + 2) / (-856)?", "solution_steps": ["Add: 6 + 2 = 8", "Divide: 8 / (-856) = -1/107", "Add: -198 + (-1/107) = -21187/107"], "final_answer": "-21187/107", "answer_type": "rational", "kind": "expression", "math_text": "-198 + (6 + 2) / (-856)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -198, \"b\": 6, \"c\": 2, \"d\": -856}", "seed": "15989220028581443476", "semantic_fingerprint": "sha256:f7edb499bb9594ad53f3f08b635f87830d84633515454aeb6bc46ad949e31cc1", "generator_version": "3.0"}
{"id": "v3_val_00004654", "prompt": "Calculate: 438 * (-34) / (-7) - (-50 - 59)", "solution_steps": ["Multiply: 438 * (-34) = -14892", "Divide: -14892 / (-7) = 14892/7", "Subtract: -50 - 59 = -109", "Subtract: 14892/7 - (-109) = 15655/7"], "final_answer": "15655/7", "answer_type": "rational", "kind": "expression", "math_text": "438 * (-34) / (-7) - (-50 - 59)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 438, \"b\": -34, \"c\": -7, \"d\": -50, \"e\": 59}", "seed": "1382734891169909526", "semantic_fingerprint": "sha256:fe088ed66d943ada448ad1f6ff876d5bd58fde4dd20836e50e051b4f0abfe639", "generator_version": "3.0"}
{"id": "v3_val_00004655", "prompt": "Solve the equation -4(x - 964) = x for x.", "solution_steps": ["Expand: -4x + 3856 = x", "Subtract x from both sides: -5x + 3856 = 0", "Subtract 3856 from both sides: -5x = -3856", "Divide both sides by -5: x = 3856/5"], "final_answer": "3856/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 964) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 964}", "seed": "8394503446989958312", "semantic_fingerprint": "sha256:2e4fcb77bd43214204b7eed06b4f6a588bb70fd73f1cfe60b06d07ec059928bf", "generator_version": "3.0"}
{"id": "v3_val_00004656", "prompt": "Evaluate: (77 - 24 * (-69 * (-6))) / (94 + 43)", "solution_steps": ["Multiply: -69 * (-6) = 414", "Multiply: 24 * 414 = 9936", "Subtract: 77 - 9936 = -9859", "Add: 94 + 43 = 137", "Divide: -9859 / 137 = -9859/137"], "final_answer": "-9859/137", "answer_type": "rational", "kind": "expression", "math_text": "(77 - 24 * (-69 * (-6))) / (94 + 43)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n (* n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 24, \"c\": -69, \"d\": -6, \"e\": 94, \"f\": 43}", "seed": "9430682219178872861", "semantic_fingerprint": "sha256:788e76bf68b7133c360316f8e24995dca3098289d172f26338ae646599595129", "generator_version": "3.0"}
{"id": "v3_val_00004657", "prompt": "What is 87 - 63?", "solution_steps": ["Subtract: 87 - 63 = 24"], "final_answer": "24", "answer_type": "integer", "kind": "expression", "math_text": "87 - 63", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 63}", "seed": "93567204114859788", "semantic_fingerprint": "sha256:59f00a5b8642b400fea7e37bbbb594d5fb51529cdb0ba3d1caa357d4a59cfddd", "generator_version": "3.0"}
{"id": "v3_val_00004658", "prompt": "Calculate: -92 / (215 - 551)", "solution_steps": ["Subtract: 215 - 551 = -336", "Divide: -92 / (-336) = 23/84"], "final_answer": "23/84", "answer_type": "rational", "kind": "expression", "math_text": "-92 / (215 - 551)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 215, \"c\": 551}", "seed": "17854881833644726785", "semantic_fingerprint": "sha256:3714dc615a047c63adbf988222d3bf7a0d9a9731b18a3f980b524c2514f0cc2e", "generator_version": "3.0"}
{"id": "v3_val_00004659", "prompt": "Solve for x: 2x = 5x", "solution_steps": ["Subtract 5x from both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 5x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5}", "seed": "15043599077201934072", "semantic_fingerprint": "sha256:2260ee3f2ee05e7db78806c53a1197cece646aa2459fd573a94fb3bc6f2698a3", "generator_version": "3.0"}
{"id": "v3_val_00004660", "prompt": "Evaluate: -894 * 322 - 693", "solution_steps": ["Multiply: -894 * 322 = -287868", "Subtract: -287868 - 693 = -288561"], "final_answer": "-288561", "answer_type": "integer", "kind": "expression", "math_text": "-894 * 322 - 693", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -894, \"b\": 322, \"c\": 693}", "seed": "13874898215581298258", "semantic_fingerprint": "sha256:0ebf3969277d65f8bc61c4888ae0ef88b3dae07884f76cc308f3554d4588c00a", "generator_version": "3.0"}
{"id": "v3_val_00004661", "prompt": "What value of x satisfies -10(x + 9) = 2(x - 33) - 90?", "solution_steps": ["Expand: -10x - 90 = 2(x - 33) - 90", "Expand: -10x - 90 = 2x - 66 - 90", "Combine constants: -10x - 90 = 2x - 156", "Subtract 2x from both sides: -12x - 90 = -156", "Add 90 to both sides: -12x = -66", "Divide both sides by -12: x = 11/2"], "final_answer": "11/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 9) = 2(x - 33) - 90", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 9, \"c\": 2, \"d\": 33, \"e\": 90}", "seed": "9751888458786699398", "semantic_fingerprint": "sha256:1c2feaf0aeaf20d509ce0b0ee906d02aef9b10f6f6c9447c32dfc91e8b667fbb", "generator_version": "3.0"}
{"id": "v3_val_00004662", "prompt": "Calculate: 8 * (-471) * (-8) * (21 / 2)", "solution_steps": ["Multiply: 8 * (-471) = -3768", "Multiply: -3768 * (-8) = 30144", "Divide: 21 / 2 = 21/2", "Multiply: 30144 * (21/2) = 316512"], "final_answer": "316512", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-471) * (-8) * (21 / 2)", "variable": null, "family": "expression_4op", "shape": "(* (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -471, \"c\": -8, \"d\": 21, \"e\": 2}", "seed": "6847993511149391636", "semantic_fingerprint": "sha256:24c37cca1fb8acad4491396209490d6fb2b0e680672cd792ea4c9a111878e171", "generator_version": "3.0"}
{"id": "v3_val_00004663", "prompt": "What is -836 - 577 - 136?", "solution_steps": ["Subtract: -836 - 577 = -1413", "Subtract: -1413 - 136 = -1549"], "final_answer": "-1549", "answer_type": "integer", "kind": "expression", "math_text": "-836 - 577 - 136", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -836, \"b\": 577, \"c\": 136}", "seed": "10318296409760581592", "semantic_fingerprint": "sha256:b16411ca971ee2a2d7144b681a982430c37609951714b922263b40c71bb19206", "generator_version": "3.0"}
{"id": "v3_val_00004664", "prompt": "Compute: (-8 + (-38) * (-7)) / (-705)", "solution_steps": ["Multiply: -38 * (-7) = 266", "Add: -8 + 266 = 258", "Divide: 258 / (-705) = -86/235"], "final_answer": "-86/235", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (-38) * (-7)) / (-705)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -38, \"c\": -7, \"d\": -705}", "seed": "10533392222323718976", "semantic_fingerprint": "sha256:2a4504cf1c0bfd9aa733ab3ee4f8eb5e12512c9841d2e30a934d8bd515b60a35", "generator_version": "3.0"}
{"id": "v3_val_00004665", "prompt": "Calculate: 970 + (-54) * ((-450 - (-76)) / (-6))", "solution_steps": ["Subtract: -450 - (-76) = -374", "Divide: -374 / (-6) = 187/3", "Multiply: -54 * (187/3) = -3366", "Add: 970 + (-3366) = -2396"], "final_answer": "-2396", "answer_type": "integer", "kind": "expression", "math_text": "970 + (-54) * ((-450 - (-76)) / (-6))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (/ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 970, \"b\": -54, \"c\": -450, \"d\": -76, \"e\": -6}", "seed": "8096193355402516256", "semantic_fingerprint": "sha256:d12526a593982ed341e74251d78fb26dbe0ebe19c74b247ffec1c542d150ef8e", "generator_version": "3.0"}
{"id": "v3_val_00004666", "prompt": "Calculate: (48 - (-7 - 4) - (-43)) / (27 * (-790))", "solution_steps": ["Subtract: -7 - 4 = -11", "Subtract: 48 - (-11) = 59", "Subtract: 59 - (-43) = 102", "Multiply: 27 * (-790) = -21330", "Divide: 102 / (-21330) = -17/3555"], "final_answer": "-17/3555", "answer_type": "rational", "kind": "expression", "math_text": "(48 - (-7 - 4) - (-43)) / (27 * (-790))", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n (- n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -7, \"c\": 4, \"d\": -43, \"e\": 27, \"f\": -790}", "seed": "7275654343163612448", "semantic_fingerprint": "sha256:9807dddf2bb653ad0e600bec333e5345de77c1bf1c737c77542629fe3dae5b8e", "generator_version": "3.0"}
{"id": "v3_val_00004667", "prompt": "What value of x satisfies 5(x + 14) = -10?", "solution_steps": ["Expand: 5x + 70 = -10", "Subtract 70 from both sides: 5x = -80", "Divide both sides by 5: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 14) = -10", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 14, \"d\": -10, \"x\": -16}", "seed": "519333470734066211", "semantic_fingerprint": "sha256:e62d3e0bf2e7d8824dee58ebd808c1aa9d29914c80ad4d0f28d6f82920df9040", "generator_version": "3.0"}
{"id": "v3_val_00004668", "prompt": "Compute: 5 - 539 + (-4)", "solution_steps": ["Subtract: 5 - 539 = -534", "Add: -534 + (-4) = -538"], "final_answer": "-538", "answer_type": "integer", "kind": "expression", "math_text": "5 - 539 + (-4)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 539, \"c\": -4}", "seed": "12418668928679232000", "semantic_fingerprint": "sha256:866cc126db0f8d4991c3a59da4160b98b97fc1d68c14d070c272860eb9ef9832", "generator_version": "3.0"}
{"id": "v3_val_00004669", "prompt": "Compute: 0 * ((-99 + (-13)) * 21)", "solution_steps": ["Add: -99 + (-13) = -112", "Multiply: -112 * 21 = -2352", "Multiply: 0 * (-2352) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * ((-99 + (-13)) * 21)", "variable": null, "family": "expression_3op", "shape": "(* n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -99, \"c\": -13, \"d\": 21}", "seed": "18284999327939233007", "semantic_fingerprint": "sha256:bc597d728885e277cfce91d62dd4c8b383eb75f1ec305fd67f54aaa3098776ef", "generator_version": "3.0"}
{"id": "v3_val_00004670", "prompt": "Find x: 5(x - 162) + 197 = x + 8", "solution_steps": ["Expand: 5x - 810 + 197 = x + 8", "Combine constants: 5x - 613 = x + 8", "Subtract x from both sides: 4x - 613 = 8", "Add 613 to both sides: 4x = 621", "Divide both sides by 4: x = 621/4"], "final_answer": "621/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 162) + 197 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 162, \"c\": 197, \"d\": 8}", "seed": "14888393986309238374", "semantic_fingerprint": "sha256:80132a5d7fa86ac9f68b128906a949ee358cf214330bd5479b4a0addefd5b319", "generator_version": "3.0"}
{"id": "v3_val_00004671", "prompt": "What is 14 + 2?", "solution_steps": ["Add: 14 + 2 = 16"], "final_answer": "16", "answer_type": "integer", "kind": "expression", "math_text": "14 + 2", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 2}", "seed": "9783811796994285689", "semantic_fingerprint": "sha256:a0e765d2b18c1efcaf014bd71975ce18e28459fba6cb7492cb6f6e5172253414", "generator_version": "3.0"}
{"id": "v3_val_00004672", "prompt": "What is 0 - 985?", "solution_steps": ["Subtract: 0 - 985 = -985"], "final_answer": "-985", "answer_type": "integer", "kind": "expression", "math_text": "0 - 985", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 985}", "seed": "16124639120747102640", "semantic_fingerprint": "sha256:b825d44453502b2f965885ca05aab4fb32bfb481e4c9daef2bae2e924a9b36fa", "generator_version": "3.0"}
{"id": "v3_val_00004673", "prompt": "Compute: -5 + 64 + (-23) - (-71)", "solution_steps": ["Add: -5 + 64 = 59", "Add: 59 + (-23) = 36", "Subtract: 36 - (-71) = 107"], "final_answer": "107", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 64 + (-23) - (-71)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 64, \"c\": -23, \"d\": -71}", "seed": "4311260227484008721", "semantic_fingerprint": "sha256:e0bdc5e6e981b721f85a7c0a616326deef9d7345b5c6f36378542ed5b0f5d16a", "generator_version": "3.0"}
{"id": "v3_val_00004674", "prompt": "What is -22 / 57 - (-18) / 9?", "solution_steps": ["Divide: -22 / 57 = -22/57", "Divide: -18 / 9 = -2", "Subtract: -22/57 - (-2) = 92/57"], "final_answer": "92/57", "answer_type": "rational", "kind": "expression", "math_text": "-22 / 57 - (-18) / 9", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 57, \"c\": -18, \"d\": 9}", "seed": "3751137132535379492", "semantic_fingerprint": "sha256:12b97568f0c4c8e3bca9d17c2783b52f679c280164a29c977c0106a6914d8b2f", "generator_version": "3.0"}
{"id": "v3_val_00004675", "prompt": "Evaluate: 897 / (3 + (-5))", "solution_steps": ["Add: 3 + (-5) = -2", "Divide: 897 / (-2) = -897/2"], "final_answer": "-897/2", "answer_type": "rational", "kind": "expression", "math_text": "897 / (3 + (-5))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 897, \"b\": 3, \"c\": -5}", "seed": "3810270753308046567", "semantic_fingerprint": "sha256:46b5419bf7a0f315a6e82ddd398531894f660f583ff06c05f4a210d298107791", "generator_version": "3.0"}
{"id": "v3_val_00004676", "prompt": "Solve for x: x - 94 = 8(x + 55)", "solution_steps": ["Expand: x - 94 = 8x + 440", "Subtract 8x from both sides: -7x - 94 = 440", "Add 94 to both sides: -7x = 534", "Divide both sides by -7: x = -534/7"], "final_answer": "-534/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 94 = 8(x + 55)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 8, \"c\": 55}", "seed": "5213621314364185694", "semantic_fingerprint": "sha256:df71eaa491969bdccf9bc51ec83a931c757046d61e49bd1bcb7c74dcb0c351cb", "generator_version": "3.0"}
{"id": "v3_val_00004677", "prompt": "Solve for x: 6(x - 9) = 11(x - 9) + 15", "solution_steps": ["Expand: 6x - 54 = 11(x - 9) + 15", "Expand: 6x - 54 = 11x - 99 + 15", "Combine constants: 6x - 54 = 11x - 84", "Subtract 11x from both sides: -5x - 54 = -84", "Add 54 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 - 9) = 11(x - 9) + 15", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 11, \"d\": 9, \"f\": 15, \"x\": 6}", "seed": "1706525311223953837", "semantic_fingerprint": "sha256:588448c61441d188ffb7f2ae88911c2a6e846ae37c0b3a0e094f9b8151ae7cc8", "generator_version": "3.0"}
{"id": "v3_val_00004678", "prompt": "What value of x satisfies 4(x + 8) = 7x?", "solution_steps": ["Expand: 4x + 32 = 7x", "Subtract 7x from both sides: -3x + 32 = 0", "Subtract 32 from both sides: -3x = -32", "Divide both sides by -3: x = 32/3"], "final_answer": "32/3", "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": "5436556218967594695", "semantic_fingerprint": "sha256:53e248c5c92875644bea0e79e23c6e74b8f5ff3a67c5328d1e6081a2b74bd984", "generator_version": "3.0"}
{"id": "v3_val_00004679", "prompt": "What is 858 + (977 / (-630) - 94)?", "solution_steps": ["Divide: 977 / (-630) = -977/630", "Subtract: -977/630 - 94 = -60197/630", "Add: 858 + (-60197/630) = 480343/630"], "final_answer": "480343/630", "answer_type": "rational", "kind": "expression", "math_text": "858 + (977 / (-630) - 94)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 858, \"b\": 977, \"c\": -630, \"d\": 94}", "seed": "6916354632926014027", "semantic_fingerprint": "sha256:363df9fcb194592f49951f02e91e866cb2ad33d6ce47e9fe5cd7367198dd19b8", "generator_version": "3.0"}
{"id": "v3_val_00004680", "prompt": "Calculate: 8 - (-787) + 446 * 96", "solution_steps": ["Subtract: 8 - (-787) = 795", "Multiply: 446 * 96 = 42816", "Add: 795 + 42816 = 43611"], "final_answer": "43611", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-787) + 446 * 96", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -787, \"c\": 446, \"d\": 96}", "seed": "13129293210373554876", "semantic_fingerprint": "sha256:264749b3f730b5b00f01fe52e7ccaa36e215dba7178164cafa9a5e13a9b5152a", "generator_version": "3.0"}
{"id": "v3_val_00004681", "prompt": "Evaluate: 45 - 57", "solution_steps": ["Subtract: 45 - 57 = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "45 - 57", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 57}", "seed": "8683138840782308946", "semantic_fingerprint": "sha256:1e09a4933dd4930bbe7651a98cd93e3e44cbeeaf2ff7fb4e3644c4b0b28a84c0", "generator_version": "3.0"}
{"id": "v3_val_00004682", "prompt": "What is (-18 + 86 * 16 + 66 / (-344)) / 94?", "solution_steps": ["Multiply: 86 * 16 = 1376", "Add: -18 + 1376 = 1358", "Divide: 66 / (-344) = -33/172", "Add: 1358 + (-33/172) = 233543/172", "Divide: (233543/172) / 94 = 4969/344"], "final_answer": "4969/344", "answer_type": "rational", "kind": "expression", "math_text": "(-18 + 86 * 16 + 66 / (-344)) / 94", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n (* n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 86, \"c\": 16, \"d\": 66, \"e\": -344, \"f\": 94}", "seed": "3887798986032212790", "semantic_fingerprint": "sha256:78b54860244ac1291e79d66c13f1c834b4f5c8b2663c1173c04a88fe575bb95a", "generator_version": "3.0"}
{"id": "v3_val_00004683", "prompt": "Solve for x: 2(x + 89) + 52 = -4(x - 29)", "solution_steps": ["Expand: 2x + 178 + 52 = -4(x - 29)", "Expand: 2x + 178 + 52 = -4x + 116", "Combine constants: 2x + 230 = -4x + 116", "Add 4x to both sides: 6x + 230 = 116", "Subtract 230 from both sides: 6x = -114", "Divide both sides by 6: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 89) + 52 = -4(x - 29)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 89, \"c\": 52, \"d\": -4, \"e\": 29}", "seed": "5434364161756816395", "semantic_fingerprint": "sha256:d0d9d95e3d1f4b1076e35da79bf483fae6dc4be94e34d880dbfb1c32d5a4ad7f", "generator_version": "3.0"}
{"id": "v3_val_00004684", "prompt": "Calculate: (97 - (-20)) / ((52 + (-19)) * 868)", "solution_steps": ["Subtract: 97 - (-20) = 117", "Add: 52 + (-19) = 33", "Multiply: 33 * 868 = 28644", "Divide: 117 / 28644 = 39/9548"], "final_answer": "39/9548", "answer_type": "rational", "kind": "expression", "math_text": "(97 - (-20)) / ((52 + (-19)) * 868)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -20, \"c\": 52, \"d\": -19, \"e\": 868}", "seed": "7106709052209158383", "semantic_fingerprint": "sha256:46608acebaac704aa4bb749819e6cf200c9c7700a9fbb76986c29686fcf13393", "generator_version": "3.0"}
{"id": "v3_val_00004685", "prompt": "Evaluate: 11 - 27 - (-81 + (6 / 63 - 31))", "solution_steps": ["Subtract: 11 - 27 = -16", "Divide: 6 / 63 = 2/21", "Subtract: 2/21 - 31 = -649/21", "Add: -81 + (-649/21) = -2350/21", "Subtract: -16 - (-2350/21) = 2014/21"], "final_answer": "2014/21", "answer_type": "rational", "kind": "expression", "math_text": "11 - 27 - (-81 + (6 / 63 - 31))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ n (- (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 27, \"c\": -81, \"d\": 6, \"e\": 63, \"f\": 31}", "seed": "11548829415456770635", "semantic_fingerprint": "sha256:c7e51e008ea656548735351c6c0a4ea898e383732b147643249c4d7e1bb27f42", "generator_version": "3.0"}
{"id": "v3_val_00004686", "prompt": "Evaluate: 9 + (-90) + (-69) - (-910)", "solution_steps": ["Add: 9 + (-90) = -81", "Add: -81 + (-69) = -150", "Subtract: -150 - (-910) = 760"], "final_answer": "760", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-90) + (-69) - (-910)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -90, \"c\": -69, \"d\": -910}", "seed": "14634548505519029534", "semantic_fingerprint": "sha256:f877e90a8c8376f6ea0625d96800c3b2c06f30d20620f09896f586906cc23121", "generator_version": "3.0"}
{"id": "v3_val_00004687", "prompt": "Compute: (-641 - (-75) / (-2)) * (-399)", "solution_steps": ["Divide: -75 / (-2) = 75/2", "Subtract: -641 - 75/2 = -1357/2", "Multiply: (-1357/2) * (-399) = 541443/2"], "final_answer": "541443/2", "answer_type": "rational", "kind": "expression", "math_text": "(-641 - (-75) / (-2)) * (-399)", "variable": null, "family": "expression_3op", "shape": "(* (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -641, \"b\": -75, \"c\": -2, \"d\": -399}", "seed": "543807598706150390", "semantic_fingerprint": "sha256:b81e201f42a6f69dff5698bab19d185dd7f34fef4ccc6e90393422071dfaa83c", "generator_version": "3.0"}
{"id": "v3_val_00004688", "prompt": "Compute: (-454 + 739) * (-816 + (566 - (-6)))", "solution_steps": ["Add: -454 + 739 = 285", "Subtract: 566 - (-6) = 572", "Add: -816 + 572 = -244", "Multiply: 285 * (-244) = -69540"], "final_answer": "-69540", "answer_type": "integer", "kind": "expression", "math_text": "(-454 + 739) * (-816 + (566 - (-6)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -454, \"b\": 739, \"c\": -816, \"d\": 566, \"e\": -6}", "seed": "13516568150699571881", "semantic_fingerprint": "sha256:6e15f872546b2f876bbd240a77032c9a28e3a57eb98d34a0dbe7fb17b619fa46", "generator_version": "3.0"}
{"id": "v3_val_00004689", "prompt": "Solve the equation x - 921 = 9(x - 89) for x.", "solution_steps": ["Expand: x - 921 = 9x - 801", "Subtract 9x from both sides: -8x - 921 = -801", "Add 921 to both sides: -8x = 120", "Divide both sides by -8: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 921 = 9(x - 89)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 89, \"d\": -921, \"x\": -15}", "seed": "11215816258844562490", "semantic_fingerprint": "sha256:2b0ef90c36d2af148d4500bb0a035e16db5d9a12ad64dafd25215bab79de6b78", "generator_version": "3.0"}
{"id": "v3_val_00004690", "prompt": "Calculate: -752 - (-68) * (-27) / 26 - 5", "solution_steps": ["Multiply: -68 * (-27) = 1836", "Divide: 1836 / 26 = 918/13", "Subtract: -752 - 918/13 = -10694/13", "Subtract: -10694/13 - 5 = -10759/13"], "final_answer": "-10759/13", "answer_type": "rational", "kind": "expression", "math_text": "-752 - (-68) * (-27) / 26 - 5", "variable": null, "family": "expression_4op", "shape": "(- (- n (/ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -752, \"b\": -68, \"c\": -27, \"d\": 26, \"e\": 5}", "seed": "1691559897488001535", "semantic_fingerprint": "sha256:32ae4a2e8d4675d89c751cc7e2139b1f7f617939927f20e8b9100d4766640917", "generator_version": "3.0"}
{"id": "v3_val_00004691", "prompt": "What value of x satisfies x = 11x + 170?", "solution_steps": ["Subtract 11x from both sides: -10x = 170", "Divide both sides by -10: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 11x + 170", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 170, \"x\": -17}", "seed": "7503268820506177505", "semantic_fingerprint": "sha256:722ef734af44e22c438621a28d89c1ebc5c99f1cf394b6a7a3efc9367cde5121", "generator_version": "3.0"}
{"id": "v3_val_00004692", "prompt": "Find x: 6(x + 911) + 4 = 5(x + 93)", "solution_steps": ["Expand: 6x + 5466 + 4 = 5(x + 93)", "Expand: 6x + 5466 + 4 = 5x + 465", "Combine constants: 6x + 5470 = 5x + 465", "Subtract 5x from both sides: x + 5470 = 465", "Subtract 5470 from both sides: x = -5005"], "final_answer": "-5005", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 911) + 4 = 5(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\": 911, \"c\": 4, \"d\": 5, \"e\": 93}", "seed": "9285723907899254384", "semantic_fingerprint": "sha256:d7c7e1eacc2d252cc87291476d231d967390425c864f7d30341dd12f10986ab8", "generator_version": "3.0"}
{"id": "v3_val_00004693", "prompt": "What value of x satisfies -5(x - 84) - 64 = 12x + 373?", "solution_steps": ["Expand: -5x + 420 - 64 = 12x + 373", "Combine constants: -5x + 356 = 12x + 373", "Subtract 12x from both sides: -17x + 356 = 373", "Subtract 356 from both sides: -17x = 17", "Divide both sides by -17: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 84) - 64 = 12x + 373", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 84, \"c\": 64, \"d\": 12, \"f\": 373, \"x\": -1}", "seed": "160151103116854057", "semantic_fingerprint": "sha256:c37e91197fc5d6f08c45f752cda41f1eb4e389a67ec9f39a522014a655ed40c8", "generator_version": "3.0"}
{"id": "v3_val_00004694", "prompt": "Evaluate: -17 * 54 + (-720 + (-6))", "solution_steps": ["Multiply: -17 * 54 = -918", "Add: -720 + (-6) = -726", "Add: -918 + (-726) = -1644"], "final_answer": "-1644", "answer_type": "integer", "kind": "expression", "math_text": "-17 * 54 + (-720 + (-6))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 54, \"c\": -720, \"d\": -6}", "seed": "849661274037349056", "semantic_fingerprint": "sha256:592d1b050f1b94ea3853437c60e7468e9dd77cf5eb7a8fb167ee37d6d6062163", "generator_version": "3.0"}
{"id": "v3_val_00004695", "prompt": "What is -21 + 56 * (1 - (-254) / (-76))?", "solution_steps": ["Divide: -254 / (-76) = 127/38", "Subtract: 1 - 127/38 = -89/38", "Multiply: 56 * (-89/38) = -2492/19", "Add: -21 + (-2492/19) = -2891/19"], "final_answer": "-2891/19", "answer_type": "rational", "kind": "expression", "math_text": "-21 + 56 * (1 - (-254) / (-76))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 56, \"c\": 1, \"d\": -254, \"e\": -76}", "seed": "16418990972949250489", "semantic_fingerprint": "sha256:66e6229e7fa37c080a2f16b6d1cc301bf21591195260c1ac64b9a2317c23e5d9", "generator_version": "3.0"}
{"id": "v3_val_00004696", "prompt": "Calculate: 38 + 321 / (-6 / 3 * 176)", "solution_steps": ["Divide: -6 / 3 = -2", "Multiply: -2 * 176 = -352", "Divide: 321 / (-352) = -321/352", "Add: 38 + (-321/352) = 13055/352"], "final_answer": "13055/352", "answer_type": "rational", "kind": "expression", "math_text": "38 + 321 / (-6 / 3 * 176)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 321, \"c\": -6, \"d\": 3, \"e\": 176}", "seed": "8703558531404378569", "semantic_fingerprint": "sha256:7e9a1b06f3d0fc2cbdbe5b0d73d90d57c42163516504e9dd05db1c93dda560f6", "generator_version": "3.0"}
{"id": "v3_val_00004697", "prompt": "What is 0 * (7 * 8)?", "solution_steps": ["Multiply: 7 * 8 = 56", "Multiply: 0 * 56 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (7 * 8)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 7, \"c\": 8}", "seed": "9818887563819135253", "semantic_fingerprint": "sha256:5c8dc74f59f543a24e6d74490214c121bd5c833a35d56cc9437e87466abb2991", "generator_version": "3.0"}
{"id": "v3_val_00004698", "prompt": "What is -4 + 38?", "solution_steps": ["Add: -4 + 38 = 34"], "final_answer": "34", "answer_type": "integer", "kind": "expression", "math_text": "-4 + 38", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 38}", "seed": "12089624286566537056", "semantic_fingerprint": "sha256:7fbbf7c997ff44d2e1c2c808271b064295f03d34bc278307b2c603169f789fc0", "generator_version": "3.0"}
{"id": "v3_val_00004699", "prompt": "Compute: -29 / 40 * (-58 * (-4))", "solution_steps": ["Divide: -29 / 40 = -29/40", "Multiply: -58 * (-4) = 232", "Multiply: (-29/40) * 232 = -841/5"], "final_answer": "-841/5", "answer_type": "rational", "kind": "expression", "math_text": "-29 / 40 * (-58 * (-4))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 40, \"c\": -58, \"d\": -4}", "seed": "15836345825176176220", "semantic_fingerprint": "sha256:0479b4751ac64ef71c72ef031ce0a9d498ed1a4b0aa73320c8f40552346b4d2f", "generator_version": "3.0"}
{"id": "v3_val_00004700", "prompt": "What is 561 + 11 * 731?", "solution_steps": ["Multiply: 11 * 731 = 8041", "Add: 561 + 8041 = 8602"], "final_answer": "8602", "answer_type": "integer", "kind": "expression", "math_text": "561 + 11 * 731", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 561, \"b\": 11, \"c\": 731}", "seed": "4406342414897779298", "semantic_fingerprint": "sha256:9246db40050a4e7292e348c74fb21a6e1d2c875a36a87f12a626292b3772926d", "generator_version": "3.0"}
{"id": "v3_val_00004701", "prompt": "What value of x satisfies 5(x + 77) = 7x + 22?", "solution_steps": ["Expand: 5x + 385 = 7x + 22", "Subtract 7x from both sides: -2x + 385 = 22", "Subtract 385 from both sides: -2x = -363", "Divide both sides by -2: x = 363/2"], "final_answer": "363/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 77) = 7x + 22", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 77, \"c\": 7, \"d\": 22}", "seed": "12996059889664478973", "semantic_fingerprint": "sha256:728eb55664b95ae90a8e4fbbb3dcf736959a3ebabb2330beddf2ee1d38709a17", "generator_version": "3.0"}
{"id": "v3_val_00004702", "prompt": "Solve for x: -11x - 459 = x - 387", "solution_steps": ["Subtract x from both sides: -12x - 459 = -387", "Add 459 to both sides: -12x = 72", "Divide both sides by -12: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 459 = x - 387", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 459, \"d\": -387, \"x\": -6}", "seed": "2950247030391133345", "semantic_fingerprint": "sha256:e01435bbf34e556b8e86af7ba39dfd8d038518af68b5e03ae90b8b289b9f8856", "generator_version": "3.0"}
{"id": "v3_val_00004703", "prompt": "Find x: 10(x - 5) = -240", "solution_steps": ["Expand: 10x - 50 = -240", "Add 50 to both sides: 10x = -190", "Divide both sides by 10: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 5) = -240", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"d\": -240, \"x\": -19}", "seed": "14933512639032821690", "semantic_fingerprint": "sha256:985b126b5df0cc7a944284169aec42ec5c33f42aa8d2dd17f05ba93e5e487c4e", "generator_version": "3.0"}
{"id": "v3_val_00004704", "prompt": "Calculate: -793 / (-7) - (-2 - 2 / (-5) - 833)", "solution_steps": ["Divide: -793 / (-7) = 793/7", "Divide: 2 / (-5) = -2/5", "Subtract: -2 - (-2/5) = -8/5", "Subtract: -8/5 - 833 = -4173/5", "Subtract: 793/7 - (-4173/5) = 33176/35"], "final_answer": "33176/35", "answer_type": "rational", "kind": "expression", "math_text": "-793 / (-7) - (-2 - 2 / (-5) - 833)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (- (- n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -793, \"b\": -7, \"c\": -2, \"d\": 2, \"e\": -5, \"f\": 833}", "seed": "17389712305136422917", "semantic_fingerprint": "sha256:02f951760b6f137478449084fdf535dc8d1e172400b5523b38d049235117f9db", "generator_version": "3.0"}
{"id": "v3_val_00004705", "prompt": "Compute: (0 - (-10) - 348 * 5) / (-5)", "solution_steps": ["Subtract: 0 - (-10) = 10", "Multiply: 348 * 5 = 1740", "Subtract: 10 - 1740 = -1730", "Divide: -1730 / (-5) = 346"], "final_answer": "346", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-10) - 348 * 5) / (-5)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -10, \"c\": 348, \"d\": 5, \"e\": -5}", "seed": "11801535255730501529", "semantic_fingerprint": "sha256:1a1e6b4936f3232118f909c57bee32f8d220abd97e7d9ae320508af328f97fd7", "generator_version": "3.0"}
{"id": "v3_val_00004706", "prompt": "What value of x satisfies 3x = 30?", "solution_steps": ["Divide both sides by 3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 30", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": 30, \"x\": 10}", "seed": "6223003032313410757", "semantic_fingerprint": "sha256:ff741504b83090fce595a013dd798ca840d994da8e105c6965e8e3ca2d19be86", "generator_version": "3.0"}
{"id": "v3_val_00004707", "prompt": "Solve the equation 5x - 88 = -3(x - 82) - 254 for x.", "solution_steps": ["Expand: 5x - 88 = -3x + 246 - 254", "Combine constants: 5x - 88 = -3x - 8", "Add 3x to both sides: 8x - 88 = -8", "Add 88 to both sides: 8x = 80", "Divide both sides by 8: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 88 = -3(x - 82) - 254", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 88, \"c\": -3, \"d\": 82, \"f\": -254, \"x\": 10}", "seed": "3488016983001685384", "semantic_fingerprint": "sha256:bfdbe63006b69dbc8247faedeed6eb1b9c71b8392eb06ffe4109a8a39803b460", "generator_version": "3.0"}
{"id": "v3_val_00004708", "prompt": "Find x: 10x = -2(x - 21) - 30", "solution_steps": ["Expand: 10x = -2x + 42 - 30", "Combine constants: 10x = -2x + 12", "Add 2x to both sides: 12x = 12", "Divide both sides by 12: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -2(x - 21) - 30", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -2, \"c\": 21, \"e\": -30, \"x\": 1}", "seed": "4797769718333718526", "semantic_fingerprint": "sha256:e3bd34cad7c2f05daea77aeb43c6d3e6a0c4ec122af625a6e0f170b11e411f5d", "generator_version": "3.0"}
{"id": "v3_val_00004709", "prompt": "What is 912 * (-4 - (-9))?", "solution_steps": ["Subtract: -4 - (-9) = 5", "Multiply: 912 * 5 = 4560"], "final_answer": "4560", "answer_type": "integer", "kind": "expression", "math_text": "912 * (-4 - (-9))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 912, \"b\": -4, \"c\": -9}", "seed": "4707432916561655719", "semantic_fingerprint": "sha256:054858acabb0cefa59d650577e1023b443b0cbecba5c102da4abc67d3e81549f", "generator_version": "3.0"}
{"id": "v3_val_00004710", "prompt": "Evaluate: 8 - (-6 + (-203))", "solution_steps": ["Add: -6 + (-203) = -209", "Subtract: 8 - (-209) = 217"], "final_answer": "217", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-6 + (-203))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -6, \"c\": -203}", "seed": "13964021643788591837", "semantic_fingerprint": "sha256:133fc02d88b725c7db0b33471a563949faef7991d72ba6e4310427e28f3c99fb", "generator_version": "3.0"}
{"id": "v3_val_00004711", "prompt": "Find x: x = 11x + 227", "solution_steps": ["Subtract 11x from both sides: -10x = 227", "Divide both sides by -10: x = -227/10"], "final_answer": "-227/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11x + 227", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 227}", "seed": "6395256709901490555", "semantic_fingerprint": "sha256:d3bfd98c30b46447a2c9d77563ee5c15a8e39bf77c7fd063235312326de94f76", "generator_version": "3.0"}
{"id": "v3_val_00004712", "prompt": "Evaluate: -3 * 457 * (-604 - (-918))", "solution_steps": ["Multiply: -3 * 457 = -1371", "Subtract: -604 - (-918) = 314", "Multiply: -1371 * 314 = -430494"], "final_answer": "-430494", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 457 * (-604 - (-918))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 457, \"c\": -604, \"d\": -918}", "seed": "6566528068319184350", "semantic_fingerprint": "sha256:1dfb43e7124c077237bfa724adda95c34f65f44cf85f57e3cfcad12e6cb62753", "generator_version": "3.0"}
{"id": "v3_val_00004713", "prompt": "Evaluate: 6 * 17", "solution_steps": ["Multiply: 6 * 17 = 102"], "final_answer": "102", "answer_type": "integer", "kind": "expression", "math_text": "6 * 17", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 17}", "seed": "2205593842503491473", "semantic_fingerprint": "sha256:114ff66436b2da0089652481a83c09872e76eae906cbfdf8aa67bf3a9857983d", "generator_version": "3.0"}
{"id": "v3_val_00004714", "prompt": "Compute: -6 - (21 + 16) - (-2) / (-18 + 31)", "solution_steps": ["Add: 21 + 16 = 37", "Subtract: -6 - 37 = -43", "Add: -18 + 31 = 13", "Divide: -2 / 13 = -2/13", "Subtract: -43 - (-2/13) = -557/13"], "final_answer": "-557/13", "answer_type": "rational", "kind": "expression", "math_text": "-6 - (21 + 16) - (-2) / (-18 + 31)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 21, \"c\": 16, \"d\": -2, \"e\": -18, \"f\": 31}", "seed": "13985049927831903733", "semantic_fingerprint": "sha256:d687daf3dfae3529e00a96c4b7ec2351966b8ad255964a6d4f23cb16ee324376", "generator_version": "3.0"}
{"id": "v3_val_00004715", "prompt": "Compute: (-3 - 3) / (-2 / 8 + 1)", "solution_steps": ["Subtract: -3 - 3 = -6", "Divide: -2 / 8 = -1/4", "Add: -1/4 + 1 = 3/4", "Divide: -6 / (3/4) = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - 3) / (-2 / 8 + 1)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": -2, \"d\": 8, \"e\": 1}", "seed": "5676250925882016283", "semantic_fingerprint": "sha256:7b4601c8afecea87bc22a8e10a8a84cd38eaaed403afb6cbe368bb6277869cc5", "generator_version": "3.0"}
{"id": "v3_val_00004716", "prompt": "Solve the equation 5x + 53 = 7(x + 6) - 5 for x.", "solution_steps": ["Expand: 5x + 53 = 7x + 42 - 5", "Combine constants: 5x + 53 = 7x + 37", "Subtract 7x from both sides: -2x + 53 = 37", "Subtract 53 from both sides: -2x = -16", "Divide both sides by -2: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 53 = 7(x + 6) - 5", "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\": 6, \"f\": -5, \"x\": 8}", "seed": "10459915909930464320", "semantic_fingerprint": "sha256:77b14de7e67c6ce17e018e27568e86d50416d2bc749aeb666e92d1cce2594ccd", "generator_version": "3.0"}
{"id": "v3_val_00004717", "prompt": "What is (53 * (-7) - (-74)) / (-90)?", "solution_steps": ["Multiply: 53 * (-7) = -371", "Subtract: -371 - (-74) = -297", "Divide: -297 / (-90) = 33/10"], "final_answer": "33/10", "answer_type": "rational", "kind": "expression", "math_text": "(53 * (-7) - (-74)) / (-90)", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -7, \"c\": -74, \"d\": -90}", "seed": "4657048588680985663", "semantic_fingerprint": "sha256:1e923d4ff8d11e582992558c7715775ff0056fde4ec1c9558bb9a2b71636ef08", "generator_version": "3.0"}
{"id": "v3_val_00004718", "prompt": "What value of x satisfies x + 5 = -7(x + 155)?", "solution_steps": ["Expand: x + 5 = -7x - 1085", "Add 7x to both sides: 8x + 5 = -1085", "Subtract 5 from both sides: 8x = -1090", "Divide both sides by 8: x = -545/4"], "final_answer": "-545/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 5 = -7(x + 155)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -7, \"c\": 155}", "seed": "14136461917232720762", "semantic_fingerprint": "sha256:0e2a8de506df9223de00f78fe2f79eb726eb45bfde8d4595fc6c24040cea95bd", "generator_version": "3.0"}
{"id": "v3_val_00004719", "prompt": "What is (-938 - 21) * (-70 * (-2 / 5))?", "solution_steps": ["Subtract: -938 - 21 = -959", "Divide: -2 / 5 = -2/5", "Multiply: -70 * (-2/5) = 28", "Multiply: -959 * 28 = -26852"], "final_answer": "-26852", "answer_type": "integer", "kind": "expression", "math_text": "(-938 - 21) * (-70 * (-2 / 5))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -938, \"b\": 21, \"c\": -70, \"d\": -2, \"e\": 5}", "seed": "8240727622722860532", "semantic_fingerprint": "sha256:0b36712909ee0d4352d1c355ef9d45abd0ef0ed32ba62d7e45ed2f1371a40c6c", "generator_version": "3.0"}
{"id": "v3_val_00004720", "prompt": "What value of x satisfies x - 4 = -39?", "solution_steps": ["Add 4 to both sides: x = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = -39", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -39}", "seed": "17305691092921376501", "semantic_fingerprint": "sha256:720685079422e4569b23d8f28f3eb03f77a5f1e3d1931c2be5faac80d0981a4d", "generator_version": "3.0"}
{"id": "v3_val_00004721", "prompt": "Calculate: 33 - (-75 + (-1))", "solution_steps": ["Add: -75 + (-1) = -76", "Subtract: 33 - (-76) = 109"], "final_answer": "109", "answer_type": "integer", "kind": "expression", "math_text": "33 - (-75 + (-1))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": -75, \"c\": -1}", "seed": "3219954155285522676", "semantic_fingerprint": "sha256:1bf5352ffe9953f90c1a3445842d9ebdb772de241a8f06ac8a6a4026085a52a0", "generator_version": "3.0"}
{"id": "v3_val_00004722", "prompt": "What is -432 * 21?", "solution_steps": ["Multiply: -432 * 21 = -9072"], "final_answer": "-9072", "answer_type": "integer", "kind": "expression", "math_text": "-432 * 21", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -432, \"b\": 21}", "seed": "11282697313504773027", "semantic_fingerprint": "sha256:092c30462c5a507e4a3f7db5a296a07524d1409aa2884f2543f16d32045a330b", "generator_version": "3.0"}
{"id": "v3_val_00004723", "prompt": "Solve for x: 9(x - 17) = 10(x - 3)", "solution_steps": ["Expand: 9x - 153 = 10(x - 3)", "Expand: 9x - 153 = 10x - 30", "Subtract 10x from both sides: -x - 153 = -30", "Add 153 to both sides: -x = 123", "Divide both sides by -1: x = -123"], "final_answer": "-123", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 17) = 10(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 17, \"c\": 10, \"d\": 3}", "seed": "12290350842412073371", "semantic_fingerprint": "sha256:bcb8ac7d4e0125a4edea89fc843ea20521a06a19b4c6ca1776958695f7e40a46", "generator_version": "3.0"}
{"id": "v3_val_00004724", "prompt": "Calculate: 64 - (-96)", "solution_steps": ["Subtract: 64 - (-96) = 160"], "final_answer": "160", "answer_type": "integer", "kind": "expression", "math_text": "64 - (-96)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -96}", "seed": "2502520868257144995", "semantic_fingerprint": "sha256:297bdeab1ee46e001f226c2e8fe7d4ebf7584187046d2c9b894ffddb877e7cb2", "generator_version": "3.0"}
{"id": "v3_val_00004725", "prompt": "What value of x satisfies 11x + 36 = x - 54?", "solution_steps": ["Subtract x from both sides: 10x + 36 = -54", "Subtract 36 from both sides: 10x = -90", "Divide both sides by 10: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 36 = x - 54", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 36, \"d\": -54, \"x\": -9}", "seed": "9629976673976834891", "semantic_fingerprint": "sha256:1ce8c0a082ab8a187f9fe048cfab9a11af6d0d054b8f339fe336a33191d32498", "generator_version": "3.0"}
{"id": "v3_val_00004726", "prompt": "Calculate: 943 + (68 + 62 / (-284))", "solution_steps": ["Divide: 62 / (-284) = -31/142", "Add: 68 + (-31/142) = 9625/142", "Add: 943 + 9625/142 = 143531/142"], "final_answer": "143531/142", "answer_type": "rational", "kind": "expression", "math_text": "943 + (68 + 62 / (-284))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 943, \"b\": 68, \"c\": 62, \"d\": -284}", "seed": "1229558134215350182", "semantic_fingerprint": "sha256:6d1eb0cccc27ddfbc3d86da6623778f59ef29af2d79767747b94e5d9231dd1e3", "generator_version": "3.0"}
{"id": "v3_val_00004727", "prompt": "Compute: 58 + (363 - (-40 - 34))", "solution_steps": ["Subtract: -40 - 34 = -74", "Subtract: 363 - (-74) = 437", "Add: 58 + 437 = 495"], "final_answer": "495", "answer_type": "integer", "kind": "expression", "math_text": "58 + (363 - (-40 - 34))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 363, \"c\": -40, \"d\": 34}", "seed": "11774725333347887738", "semantic_fingerprint": "sha256:1fadf55385c6c7362e3346d6dd7ab1ed13597610887b2f8d682da2447209f659", "generator_version": "3.0"}
{"id": "v3_val_00004728", "prompt": "What is 405 / 6 * (-302)?", "solution_steps": ["Divide: 405 / 6 = 135/2", "Multiply: (135/2) * (-302) = -20385"], "final_answer": "-20385", "answer_type": "integer", "kind": "expression", "math_text": "405 / 6 * (-302)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 405, \"b\": 6, \"c\": -302}", "seed": "17206188988350991655", "semantic_fingerprint": "sha256:bf2ab2b06904ad8abae99e4dddff22491e5ec332212c2c2dcef73b115bfc5877", "generator_version": "3.0"}
{"id": "v3_val_00004729", "prompt": "Calculate: -4 / (-401) - 74", "solution_steps": ["Divide: -4 / (-401) = 4/401", "Subtract: 4/401 - 74 = -29670/401"], "final_answer": "-29670/401", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-401) - 74", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -401, \"c\": 74}", "seed": "17684705479384453463", "semantic_fingerprint": "sha256:ccc12dd0a129f0639962f94db0cf4856ddeb02b8c684b906b0f99eec07a32537", "generator_version": "3.0"}
{"id": "v3_val_00004730", "prompt": "Compute: 0 + 9 - 8 * (-18)", "solution_steps": ["Add: 0 + 9 = 9", "Multiply: 8 * (-18) = -144", "Subtract: 9 - (-144) = 153"], "final_answer": "153", "answer_type": "integer", "kind": "expression", "math_text": "0 + 9 - 8 * (-18)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9, \"c\": 8, \"d\": -18}", "seed": "14915174192108802326", "semantic_fingerprint": "sha256:cb5d7e0795bbcd89c8cde06a838e360bbbb5a1c0931565515e44fec00d175d10", "generator_version": "3.0"}
{"id": "v3_val_00004731", "prompt": "Solve the equation 7(x - 75) - 9 = 31 for x.", "solution_steps": ["Expand: 7x - 525 - 9 = 31", "Combine constants: 7x - 534 = 31", "Add 534 to both sides: 7x = 565", "Divide both sides by 7: x = 565/7"], "final_answer": "565/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 75) - 9 = 31", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 75, \"c\": 9, \"d\": 31}", "seed": "12760208763622927459", "semantic_fingerprint": "sha256:2ffd98f72d24ec7a38bc6ae6a0466b8c7d98c41099a925749776ce0f27577020", "generator_version": "3.0"}
{"id": "v3_val_00004732", "prompt": "What value of x satisfies x = -9(x + 56)?", "solution_steps": ["Expand: x = -9x - 504", "Add 9x to both sides: 10x = -504", "Divide both sides by 10: x = -252/5"], "final_answer": "-252/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -9(x + 56)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 56}", "seed": "6834460098692438565", "semantic_fingerprint": "sha256:9fd70022091e59401f710b6b71c3da493a4d8ae0b537b130d38f86817aec2128", "generator_version": "3.0"}
{"id": "v3_val_00004733", "prompt": "Find x: 8(x + 46) - 514 = 5(x - 91) + 345", "solution_steps": ["Expand: 8x + 368 - 514 = 5(x - 91) + 345", "Expand: 8x + 368 - 514 = 5x - 455 + 345", "Combine constants: 8x - 146 = 5x - 455 + 345", "Combine constants: 8x - 146 = 5x - 110", "Subtract 5x from both sides: 3x - 146 = -110", "Add 146 to both sides: 3x = 36", "Divide both sides by 3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 46) - 514 = 5(x - 91) + 345", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 46, \"c\": 514, \"d\": 5, \"e\": 91, \"g\": 345, \"x\": 12}", "seed": "15197947631674255140", "semantic_fingerprint": "sha256:396e6f4384e9ec72a9ea86db2613ad7d5e27fda9af12772e92e21e0a7797fbc8", "generator_version": "3.0"}
{"id": "v3_val_00004734", "prompt": "Compute: 85 / 82", "solution_steps": ["Divide: 85 / 82 = 85/82"], "final_answer": "85/82", "answer_type": "rational", "kind": "expression", "math_text": "85 / 82", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 82}", "seed": "3072092188566771166", "semantic_fingerprint": "sha256:3cdc1bd7160fa9a99f18c160c8c7d3cb88f7fcca71bfdb73a47fd00e4eae9440", "generator_version": "3.0"}
{"id": "v3_val_00004735", "prompt": "What value of x satisfies 12(x + 65) + 30 = -6x?", "solution_steps": ["Expand: 12x + 780 + 30 = -6x", "Combine constants: 12x + 810 = -6x", "Add 6x to both sides: 18x + 810 = 0", "Subtract 810 from both sides: 18x = -810", "Divide both sides by 18: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 65) + 30 = -6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 65, \"c\": 30, \"d\": -6}", "seed": "7347086777681659352", "semantic_fingerprint": "sha256:68c49989a8633100113e34cefdfeb5edde352461856af6343fe47ba27c91fbf6", "generator_version": "3.0"}
{"id": "v3_val_00004736", "prompt": "Calculate: -635 - 9 - (888 + (-6))", "solution_steps": ["Subtract: -635 - 9 = -644", "Add: 888 + (-6) = 882", "Subtract: -644 - 882 = -1526"], "final_answer": "-1526", "answer_type": "integer", "kind": "expression", "math_text": "-635 - 9 - (888 + (-6))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -635, \"b\": 9, \"c\": 888, \"d\": -6}", "seed": "14366153573355111481", "semantic_fingerprint": "sha256:d09feb16e637e041814f2877ee7c44b40c138717302eaa9c698bbe8d0320858f", "generator_version": "3.0"}
{"id": "v3_val_00004737", "prompt": "Solve for x: x - 3 = 6(x - 270)", "solution_steps": ["Expand: x - 3 = 6x - 1620", "Subtract 6x from both sides: -5x - 3 = -1620", "Add 3 to both sides: -5x = -1617", "Divide both sides by -5: x = 1617/5"], "final_answer": "1617/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 3 = 6(x - 270)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 270}", "seed": "16452204556972217616", "semantic_fingerprint": "sha256:119bca912054ca107ab97ac8aa242a4981bf97153c4f3429c7f954e801a4c47c", "generator_version": "3.0"}
{"id": "v3_val_00004738", "prompt": "Compute: -765 + (-31)", "solution_steps": ["Add: -765 + (-31) = -796"], "final_answer": "-796", "answer_type": "integer", "kind": "expression", "math_text": "-765 + (-31)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -765, \"b\": -31}", "seed": "10304560180819106015", "semantic_fingerprint": "sha256:d641d0a652003ab1563972459f7aad31cadb06f918bcd18aa4a782dfa78b9f26", "generator_version": "3.0"}
{"id": "v3_val_00004739", "prompt": "Calculate: (5 + 23) * (27 / (-8 * (-128)))", "solution_steps": ["Add: 5 + 23 = 28", "Multiply: -8 * (-128) = 1024", "Divide: 27 / 1024 = 27/1024", "Multiply: 28 * (27/1024) = 189/256"], "final_answer": "189/256", "answer_type": "rational", "kind": "expression", "math_text": "(5 + 23) * (27 / (-8 * (-128)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 23, \"c\": 27, \"d\": -8, \"e\": -128}", "seed": "7116444924062393903", "semantic_fingerprint": "sha256:63f29be094d3b8034ff1d0b66708fadb10c6a38146d9fbb346b5bccda4039f37", "generator_version": "3.0"}
{"id": "v3_val_00004740", "prompt": "Calculate: 3 + 82", "solution_steps": ["Add: 3 + 82 = 85"], "final_answer": "85", "answer_type": "integer", "kind": "expression", "math_text": "3 + 82", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 82}", "seed": "4890862024256084252", "semantic_fingerprint": "sha256:7ccb3fd8e39909dab1488a8a26f414b9e8366c6c71296ff198e20bbf8fb7020d", "generator_version": "3.0"}
{"id": "v3_val_00004741", "prompt": "Evaluate: 5 * (22 * 537 / (-2))", "solution_steps": ["Multiply: 22 * 537 = 11814", "Divide: 11814 / (-2) = -5907", "Multiply: 5 * (-5907) = -29535"], "final_answer": "-29535", "answer_type": "integer", "kind": "expression", "math_text": "5 * (22 * 537 / (-2))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 22, \"c\": 537, \"d\": -2}", "seed": "11495012226862986025", "semantic_fingerprint": "sha256:b2ce33e5c581751a26023d40f61a0ed82e79fffac2383922b22c74976bb73e0e", "generator_version": "3.0"}
{"id": "v3_val_00004742", "prompt": "Compute: -95 + (-9)", "solution_steps": ["Add: -95 + (-9) = -104"], "final_answer": "-104", "answer_type": "integer", "kind": "expression", "math_text": "-95 + (-9)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -9}", "seed": "10725226063383431058", "semantic_fingerprint": "sha256:4bbe7c866a8c56e837f1c0fef396f6e352dd246ec293a4bd80b1338a80dc3eda", "generator_version": "3.0"}
{"id": "v3_val_00004743", "prompt": "Find x: -4(x + 8) + 82 = x", "solution_steps": ["Expand: -4x - 32 + 82 = x", "Combine constants: -4x + 50 = x", "Subtract x 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": "-4(x + 8) + 82 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"d\": 82, \"x\": 10}", "seed": "750583197845994170", "semantic_fingerprint": "sha256:8538ec4b50cf025532e1ac58f6a0d4727e05eabec7c7106752baa5f7a4100cbf", "generator_version": "3.0"}
{"id": "v3_val_00004744", "prompt": "What value of x satisfies 11(x - 1) = x - 151?", "solution_steps": ["Expand: 11x - 11 = x - 151", "Subtract x from both sides: 10x - 11 = -151", "Add 11 to both sides: 10x = -140", "Divide both sides by 10: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 1) = x - 151", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"d\": -151, \"x\": -14}", "seed": "4408259356916592869", "semantic_fingerprint": "sha256:81563738960136ba16a5aa384e4383b77bb692ac85b0530a62bf8837fc159d2a", "generator_version": "3.0"}
{"id": "v3_val_00004745", "prompt": "What is 8 * (-47) - (-647) / (-986)?", "solution_steps": ["Multiply: 8 * (-47) = -376", "Divide: -647 / (-986) = 647/986", "Subtract: -376 - 647/986 = -371383/986"], "final_answer": "-371383/986", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-47) - (-647) / (-986)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -47, \"c\": -647, \"d\": -986}", "seed": "1934383632417729599", "semantic_fingerprint": "sha256:c030e099b89af920026c4720e80fee274eca6ac6c35c378145915cbeca602599", "generator_version": "3.0"}
{"id": "v3_val_00004746", "prompt": "What is 90 / 812?", "solution_steps": ["Divide: 90 / 812 = 45/406"], "final_answer": "45/406", "answer_type": "rational", "kind": "expression", "math_text": "90 / 812", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 812}", "seed": "2540662654647343643", "semantic_fingerprint": "sha256:0954ad669090f56c33fb8f8cbfecf162a43eba20e16781cb41ba77f40f37911a", "generator_version": "3.0"}
{"id": "v3_val_00004747", "prompt": "Compute: 61 + 6 + (-6) / (-6)", "solution_steps": ["Add: 61 + 6 = 67", "Divide: -6 / (-6) = 1", "Add: 67 + 1 = 68"], "final_answer": "68", "answer_type": "integer", "kind": "expression", "math_text": "61 + 6 + (-6) / (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 6, \"c\": -6, \"d\": -6}", "seed": "2521700570515742731", "semantic_fingerprint": "sha256:80c0dde4f52279c8c55b22789afbceefb83ed4398ae2306c688a841ce718d25f", "generator_version": "3.0"}
{"id": "v3_val_00004748", "prompt": "Calculate: -5 - 64 * (-97) / 5", "solution_steps": ["Multiply: 64 * (-97) = -6208", "Divide: -6208 / 5 = -6208/5", "Subtract: -5 - (-6208/5) = 6183/5"], "final_answer": "6183/5", "answer_type": "rational", "kind": "expression", "math_text": "-5 - 64 * (-97) / 5", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 64, \"c\": -97, \"d\": 5}", "seed": "12239198256066218040", "semantic_fingerprint": "sha256:89237b02ab117324d64f6d559981fa4fbbe24b5d382337a7c9ef385c33c45818", "generator_version": "3.0"}
{"id": "v3_val_00004749", "prompt": "What value of x satisfies 5(x + 4) = 12(x + 87) - 961?", "solution_steps": ["Expand: 5x + 20 = 12(x + 87) - 961", "Expand: 5x + 20 = 12x + 1044 - 961", "Combine constants: 5x + 20 = 12x + 83", "Subtract 12x from both sides: -7x + 20 = 83", "Subtract 20 from both sides: -7x = 63", "Divide both sides by -7: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 4) = 12(x + 87) - 961", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 12, \"d\": 87, \"f\": -961, \"x\": -9}", "seed": "3441327753472267625", "semantic_fingerprint": "sha256:42f3c9e875629134cdfc2833b574c67614f47b92d560fc176d38303cfff55f5a", "generator_version": "3.0"}
{"id": "v3_val_00004750", "prompt": "Solve the equation 6(x + 67) = 2(x - 448) for x.", "solution_steps": ["Expand: 6x + 402 = 2(x - 448)", "Expand: 6x + 402 = 2x - 896", "Subtract 2x from both sides: 4x + 402 = -896", "Subtract 402 from both sides: 4x = -1298", "Divide both sides by 4: x = -649/2"], "final_answer": "-649/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 67) = 2(x - 448)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 67, \"c\": 2, \"d\": 448}", "seed": "17489153075485881528", "semantic_fingerprint": "sha256:045c932f06c68c8297f7c4edd11a70d3ba4258a5ac8233bd345faa2aa411233d", "generator_version": "3.0"}
{"id": "v3_val_00004751", "prompt": "Compute: 5 + 585", "solution_steps": ["Add: 5 + 585 = 590"], "final_answer": "590", "answer_type": "integer", "kind": "expression", "math_text": "5 + 585", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 585}", "seed": "12862718868746435909", "semantic_fingerprint": "sha256:a4292c1f439652ed626ca44c2e7c56992bfdb401dacb8b4529dcf8a4340032cd", "generator_version": "3.0"}
{"id": "v3_val_00004752", "prompt": "Calculate: -821 / 85", "solution_steps": ["Divide: -821 / 85 = -821/85"], "final_answer": "-821/85", "answer_type": "rational", "kind": "expression", "math_text": "-821 / 85", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -821, \"b\": 85}", "seed": "18206537876646463162", "semantic_fingerprint": "sha256:8f9bf7a12c2d8b52d90dd4bad5f05a909bbddf365c522deeeece13942672951f", "generator_version": "3.0"}
{"id": "v3_val_00004753", "prompt": "Compute: -3 * (9 / 2 - 0 / 149)", "solution_steps": ["Divide: 9 / 2 = 9/2", "Divide: 0 / 149 = 0", "Subtract: 9/2 - 0 = 9/2", "Multiply: -3 * (9/2) = -27/2"], "final_answer": "-27/2", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (9 / 2 - 0 / 149)", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 2, \"d\": 0, \"e\": 149}", "seed": "5767750256160106184", "semantic_fingerprint": "sha256:c8595fd22bcaa4ef3aa0ab7e169a757a69e1a936ef7f2c09aaf612e52c664ed0", "generator_version": "3.0"}
{"id": "v3_val_00004754", "prompt": "Evaluate: (-47 + 474 - (-1) * (-7)) * (-4)", "solution_steps": ["Add: -47 + 474 = 427", "Multiply: -1 * (-7) = 7", "Subtract: 427 - 7 = 420", "Multiply: 420 * (-4) = -1680"], "final_answer": "-1680", "answer_type": "integer", "kind": "expression", "math_text": "(-47 + 474 - (-1) * (-7)) * (-4)", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 474, \"c\": -1, \"d\": -7, \"e\": -4}", "seed": "16806793328562583741", "semantic_fingerprint": "sha256:a12027cf2e7040675f22d7f926ed26932047b37e53a107eefe710a143a344909", "generator_version": "3.0"}
{"id": "v3_val_00004755", "prompt": "Evaluate: 87 / 7 - (-23) + (-331)", "solution_steps": ["Divide: 87 / 7 = 87/7", "Subtract: 87/7 - (-23) = 248/7", "Add: 248/7 + (-331) = -2069/7"], "final_answer": "-2069/7", "answer_type": "rational", "kind": "expression", "math_text": "87 / 7 - (-23) + (-331)", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 7, \"c\": -23, \"d\": -331}", "seed": "2218317499062500170", "semantic_fingerprint": "sha256:bd31bd11bb66b43c21fe29bec84eb99b7d417b42e4727ddcd808c4509dc6169d", "generator_version": "3.0"}
{"id": "v3_val_00004756", "prompt": "Evaluate: 73 * (5 - (-97)) / (-5)", "solution_steps": ["Subtract: 5 - (-97) = 102", "Multiply: 73 * 102 = 7446", "Divide: 7446 / (-5) = -7446/5"], "final_answer": "-7446/5", "answer_type": "rational", "kind": "expression", "math_text": "73 * (5 - (-97)) / (-5)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 5, \"c\": -97, \"d\": -5}", "seed": "15202350412739703728", "semantic_fingerprint": "sha256:6628debdcf1778ef39d88fc69659fa6f6e87defb9f5c331dec001b11493d5ea4", "generator_version": "3.0"}
{"id": "v3_val_00004757", "prompt": "Solve for x: 6x = -7x - 50", "solution_steps": ["Add 7x to both sides: 13x = -50", "Divide both sides by 13: x = -50/13"], "final_answer": "-50/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = -7x - 50", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": 50}", "seed": "1553392283281437927", "semantic_fingerprint": "sha256:9ca5df10d6c0d543db760d47a79dc96ae49f5843205241534f7083f98d668c3f", "generator_version": "3.0"}
{"id": "v3_val_00004758", "prompt": "Solve the equation -5(x + 14) + 45 = 9x - 137 for x.", "solution_steps": ["Expand: -5x - 70 + 45 = 9x - 137", "Combine constants: -5x - 25 = 9x - 137", "Subtract 9x from both sides: -14x - 25 = -137", "Add 25 to both sides: -14x = -112", "Divide both sides by -14: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 14) + 45 = 9x - 137", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 14, \"c\": 45, \"d\": 9, \"f\": -137, \"x\": 8}", "seed": "6826639587866943183", "semantic_fingerprint": "sha256:197da7914d96f91c75843b0b7cdc856e95ddeed27333429edcae93f16f125531", "generator_version": "3.0"}
{"id": "v3_val_00004759", "prompt": "Compute: 9 + (-78)", "solution_steps": ["Add: 9 + (-78) = -69"], "final_answer": "-69", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-78)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -78}", "seed": "7720419699489813910", "semantic_fingerprint": "sha256:a754bfd1ddb15dfa1022a76f0b110b8ccf7483065f4d663ecc13c8dce6842550", "generator_version": "3.0"}
{"id": "v3_val_00004760", "prompt": "Calculate: -43 / 68 / (-6) + (32 + (-62))", "solution_steps": ["Divide: -43 / 68 = -43/68", "Divide: (-43/68) / (-6) = 43/408", "Add: 32 + (-62) = -30", "Add: 43/408 + (-30) = -12197/408"], "final_answer": "-12197/408", "answer_type": "rational", "kind": "expression", "math_text": "-43 / 68 / (-6) + (32 + (-62))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 68, \"c\": -6, \"d\": 32, \"e\": -62}", "seed": "5574745468830297281", "semantic_fingerprint": "sha256:b6d544f1b8b21953032a11f1d19c8d4881e09e9b9549535d63a587d504fdbc1d", "generator_version": "3.0"}
{"id": "v3_val_00004761", "prompt": "What is (-78 + (-4)) / 7?", "solution_steps": ["Add: -78 + (-4) = -82", "Divide: -82 / 7 = -82/7"], "final_answer": "-82/7", "answer_type": "rational", "kind": "expression", "math_text": "(-78 + (-4)) / 7", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -4, \"c\": 7}", "seed": "2742325470185586277", "semantic_fingerprint": "sha256:b9a150af857f06fdcf5b961bae08a9f3734113065691e1057a9d274aad506746", "generator_version": "3.0"}
{"id": "v3_val_00004762", "prompt": "Compute: 3 * (94 + 47 + (-6))", "solution_steps": ["Add: 94 + 47 = 141", "Add: 141 + (-6) = 135", "Multiply: 3 * 135 = 405"], "final_answer": "405", "answer_type": "integer", "kind": "expression", "math_text": "3 * (94 + 47 + (-6))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 94, \"c\": 47, \"d\": -6}", "seed": "15238879665603229570", "semantic_fingerprint": "sha256:2271f4476685f65a0c0f7c22aabe768b2dc3c336d6f72e849a86d1e418f2b4b2", "generator_version": "3.0"}
{"id": "v3_val_00004763", "prompt": "Evaluate: -30 / (-40)", "solution_steps": ["Divide: -30 / (-40) = 3/4"], "final_answer": "3/4", "answer_type": "rational", "kind": "expression", "math_text": "-30 / (-40)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -40}", "seed": "10675502822779036837", "semantic_fingerprint": "sha256:e023fc268bc49323e10e0179c1cf523690d6733bf5257ffd7e92d889c489817c", "generator_version": "3.0"}
{"id": "v3_val_00004764", "prompt": "Evaluate: (59 - 64) * (83 - (-98) / 615)", "solution_steps": ["Subtract: 59 - 64 = -5", "Divide: -98 / 615 = -98/615", "Subtract: 83 - (-98/615) = 51143/615", "Multiply: -5 * (51143/615) = -51143/123"], "final_answer": "-51143/123", "answer_type": "rational", "kind": "expression", "math_text": "(59 - 64) * (83 - (-98) / 615)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 64, \"c\": 83, \"d\": -98, \"e\": 615}", "seed": "7267516265757559390", "semantic_fingerprint": "sha256:bdcca86e217997ac49f664b120cd6138f64afb221854da58c12f1cb6a7895e35", "generator_version": "3.0"}
{"id": "v3_val_00004765", "prompt": "What is -1 / 79?", "solution_steps": ["Divide: -1 / 79 = -1/79"], "final_answer": "-1/79", "answer_type": "rational", "kind": "expression", "math_text": "-1 / 79", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 79}", "seed": "17964821573070426361", "semantic_fingerprint": "sha256:776acb2ce598aee877bacd20c8eed92bd310bfacc547d0fa2246d7fe372f9edf", "generator_version": "3.0"}
{"id": "v3_val_00004766", "prompt": "Evaluate: 64 / 410 * (0 + (-3))", "solution_steps": ["Divide: 64 / 410 = 32/205", "Add: 0 + (-3) = -3", "Multiply: (32/205) * (-3) = -96/205"], "final_answer": "-96/205", "answer_type": "rational", "kind": "expression", "math_text": "64 / 410 * (0 + (-3))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 410, \"c\": 0, \"d\": -3}", "seed": "9880603688377444986", "semantic_fingerprint": "sha256:a8d7322d7fa60d051454d1c5872e85492aa195c8d77bfa4711a85d68d8a40930", "generator_version": "3.0"}
{"id": "v3_val_00004767", "prompt": "Find x: 7x = 10(x - 6) + 24", "solution_steps": ["Expand: 7x = 10x - 60 + 24", "Combine constants: 7x = 10x - 36", "Subtract 10x from both sides: -3x = -36", "Divide both sides by -3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 10(x - 6) + 24", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 6, \"e\": 24, \"x\": 12}", "seed": "13629245307338508844", "semantic_fingerprint": "sha256:a6a98ca4d9ef19856e818f7fc8a5feb8e2eebbd36e715611592a366b46c27ea9", "generator_version": "3.0"}
{"id": "v3_val_00004768", "prompt": "Compute: -39 * 80 / 800 + (-664) * 5", "solution_steps": ["Multiply: -39 * 80 = -3120", "Divide: -3120 / 800 = -39/10", "Multiply: -664 * 5 = -3320", "Add: -39/10 + (-3320) = -33239/10"], "final_answer": "-33239/10", "answer_type": "rational", "kind": "expression", "math_text": "-39 * 80 / 800 + (-664) * 5", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 80, \"c\": 800, \"d\": -664, \"e\": 5}", "seed": "17842205935049825438", "semantic_fingerprint": "sha256:5a196b999181c5de09f92a1645f9d9c150913cf8732989e0c28ff7fd35fe8787", "generator_version": "3.0"}
{"id": "v3_val_00004769", "prompt": "Calculate: -9 / 4 - 4", "solution_steps": ["Divide: -9 / 4 = -9/4", "Subtract: -9/4 - 4 = -25/4"], "final_answer": "-25/4", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 4 - 4", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"c\": 4}", "seed": "14044986655460625736", "semantic_fingerprint": "sha256:55545e4627ff8696b7780d3aa342a63489acf053ce1ae2b9b4eaffa65da596de", "generator_version": "3.0"}
{"id": "v3_val_00004770", "prompt": "Evaluate: -191 - (-48 - 12)", "solution_steps": ["Subtract: -48 - 12 = -60", "Subtract: -191 - (-60) = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "expression", "math_text": "-191 - (-48 - 12)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -191, \"b\": -48, \"c\": 12}", "seed": "13622189826312863239", "semantic_fingerprint": "sha256:a3fd1372f4e6a154a87ec285fd9b2c4f4bde3be10a077edf2ac2fd64e9e55d65", "generator_version": "3.0"}
{"id": "v3_val_00004771", "prompt": "Solve the equation x = 8(x + 40) - 376 for x.", "solution_steps": ["Expand: x = 8x + 320 - 376", "Combine constants: 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 + 40) - 376", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 40, \"d\": -376, \"x\": 8}", "seed": "6643793587707017057", "semantic_fingerprint": "sha256:5944f0b2ff9b1b598357479fc79abd753b33ac4ba1d85581cf4bcdfb643fa2d9", "generator_version": "3.0"}
{"id": "v3_val_00004772", "prompt": "Solve the equation 3x + 56 = 5(x + 43) + 84 for x.", "solution_steps": ["Expand: 3x + 56 = 5x + 215 + 84", "Combine constants: 3x + 56 = 5x + 299", "Subtract 5x from both sides: -2x + 56 = 299", "Subtract 56 from both sides: -2x = 243", "Divide both sides by -2: x = -243/2"], "final_answer": "-243/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x + 56 = 5(x + 43) + 84", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 56, \"c\": 5, \"d\": 43, \"e\": 84}", "seed": "6250340945636320440", "semantic_fingerprint": "sha256:0b42b29ec3b5a9622f20dd1275938b21e689af26e766da86d919a8e221eae1aa", "generator_version": "3.0"}
{"id": "v3_val_00004773", "prompt": "Compute: 85 / 20 + 32", "solution_steps": ["Divide: 85 / 20 = 17/4", "Add: 17/4 + 32 = 145/4"], "final_answer": "145/4", "answer_type": "rational", "kind": "expression", "math_text": "85 / 20 + 32", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 20, \"c\": 32}", "seed": "5016451452020295329", "semantic_fingerprint": "sha256:00af062efc692ed527016fb24a078594e5bbc72d6adb7b69c72beb4a35a088cf", "generator_version": "3.0"}
{"id": "v3_val_00004774", "prompt": "Find x: x + 960 = -10(x + 1)", "solution_steps": ["Expand: x + 960 = -10x - 10", "Add 10x to both sides: 11x + 960 = -10", "Subtract 960 from both sides: 11x = -970", "Divide both sides by 11: x = -970/11"], "final_answer": "-970/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 960 = -10(x + 1)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 960, \"b\": -10, \"c\": 1}", "seed": "13958407797033772535", "semantic_fingerprint": "sha256:1d066d625ea9d62c4df616fd94fd7be01bee95c721400a1ebc55c111d7db00a6", "generator_version": "3.0"}
{"id": "v3_val_00004775", "prompt": "Evaluate: 0 * (-9 * (-6 + (-14) - 935))", "solution_steps": ["Add: -6 + (-14) = -20", "Subtract: -20 - 935 = -955", "Multiply: -9 * (-955) = 8595", "Multiply: 0 * 8595 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-9 * (-6 + (-14) - 935))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (- (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": -6, \"d\": -14, \"e\": 935}", "seed": "10829274019858964148", "semantic_fingerprint": "sha256:110ae4daf95d9ccb16a8b735fee56f65f06dd95b8f44c9d1acba608b077f1094", "generator_version": "3.0"}
{"id": "v3_val_00004776", "prompt": "Solve for x: -5(x - 84) - 44 = 8x - 155", "solution_steps": ["Expand: -5x + 420 - 44 = 8x - 155", "Combine constants: -5x + 376 = 8x - 155", "Subtract 8x from both sides: -13x + 376 = -155", "Subtract 376 from both sides: -13x = -531", "Divide both sides by -13: x = 531/13"], "final_answer": "531/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 84) - 44 = 8x - 155", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 84, \"c\": 44, \"d\": 8, \"e\": 155}", "seed": "15824004020394373308", "semantic_fingerprint": "sha256:4d8e8a726f0351479f6a136622f1e35b33d62a6b839dc52cc5c29d475f569aa4", "generator_version": "3.0"}
{"id": "v3_val_00004777", "prompt": "Evaluate: -64 + 8", "solution_steps": ["Add: -64 + 8 = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "expression", "math_text": "-64 + 8", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 8}", "seed": "6967800191658660352", "semantic_fingerprint": "sha256:0349b587b13c74deefb7c6455d546e0fbada5d26b5d4f94ccc1e58202ecde378", "generator_version": "3.0"}
{"id": "v3_val_00004778", "prompt": "Compute: 84 + (-3) + (-419) * (-67)", "solution_steps": ["Add: 84 + (-3) = 81", "Multiply: -419 * (-67) = 28073", "Add: 81 + 28073 = 28154"], "final_answer": "28154", "answer_type": "integer", "kind": "expression", "math_text": "84 + (-3) + (-419) * (-67)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -3, \"c\": -419, \"d\": -67}", "seed": "11426059512397859432", "semantic_fingerprint": "sha256:c23051db0f0eba061ad467b05aa69a10e3fa5be1ee7933fb24956ca054dc2a10", "generator_version": "3.0"}
{"id": "v3_val_00004779", "prompt": "Compute: (529 + (-778 - 28 - (-79))) * (45 + 90)", "solution_steps": ["Subtract: -778 - 28 = -806", "Subtract: -806 - (-79) = -727", "Add: 529 + (-727) = -198", "Add: 45 + 90 = 135", "Multiply: -198 * 135 = -26730"], "final_answer": "-26730", "answer_type": "integer", "kind": "expression", "math_text": "(529 + (-778 - 28 - (-79))) * (45 + 90)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (- (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 529, \"b\": -778, \"c\": 28, \"d\": -79, \"e\": 45, \"f\": 90}", "seed": "3620817107457254695", "semantic_fingerprint": "sha256:e7969aea8cf75608dfedb4d080ea455a6f96ae997679ee404f57e0208a91030d", "generator_version": "3.0"}
{"id": "v3_val_00004780", "prompt": "Solve for x: 6(x + 18) - 84 = 12x", "solution_steps": ["Expand: 6x + 108 - 84 = 12x", "Combine constants: 6x + 24 = 12x", "Subtract 12x from both sides: -6x + 24 = 0", "Subtract 24 from both sides: -6x = -24", "Divide both sides by -6: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 18) - 84 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 18, \"c\": 12, \"e\": -84, \"x\": 4}", "seed": "13913950751765106599", "semantic_fingerprint": "sha256:6bff64fc325931c3cc9c31338af37b8df1d0a42d41ddb12b418228709b6d9b17", "generator_version": "3.0"}
{"id": "v3_val_00004781", "prompt": "What is 34 - 695 - 6?", "solution_steps": ["Subtract: 34 - 695 = -661", "Subtract: -661 - 6 = -667"], "final_answer": "-667", "answer_type": "integer", "kind": "expression", "math_text": "34 - 695 - 6", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 695, \"c\": 6}", "seed": "5061280051907532003", "semantic_fingerprint": "sha256:94cefd1efa35d42071cd4ecf3b1ef0df68230ff3ea600c0ffffaaed5eec4be04", "generator_version": "3.0"}
{"id": "v3_val_00004782", "prompt": "What is 1 * 88 + (381 + (-273) * 683)?", "solution_steps": ["Multiply: 1 * 88 = 88", "Multiply: -273 * 683 = -186459", "Add: 381 + (-186459) = -186078", "Add: 88 + (-186078) = -185990"], "final_answer": "-185990", "answer_type": "integer", "kind": "expression", "math_text": "1 * 88 + (381 + (-273) * 683)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 88, \"c\": 381, \"d\": -273, \"e\": 683}", "seed": "4547675666872079891", "semantic_fingerprint": "sha256:98f1afd8dc57edd2845a1b9e47b7f435609d5bcdd994bf2af3ff79f10c11641f", "generator_version": "3.0"}
{"id": "v3_val_00004783", "prompt": "Find x: 7(x + 8) + 47 = 11x + 75", "solution_steps": ["Expand: 7x + 56 + 47 = 11x + 75", "Combine constants: 7x + 103 = 11x + 75", "Subtract 11x from both sides: -4x + 103 = 75", "Subtract 103 from both sides: -4x = -28", "Divide both sides by -4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 8) + 47 = 11x + 75", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 47, \"d\": 11, \"f\": 75, \"x\": 7}", "seed": "6278614486470574411", "semantic_fingerprint": "sha256:ee5909d9d4271a0e5b44c42ab2d1e3524931da1a779531c3ca6076f4a825f255", "generator_version": "3.0"}
{"id": "v3_val_00004784", "prompt": "Compute: 10 * 15 * 485", "solution_steps": ["Multiply: 10 * 15 = 150", "Multiply: 150 * 485 = 72750"], "final_answer": "72750", "answer_type": "integer", "kind": "expression", "math_text": "10 * 15 * 485", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 15, \"c\": 485}", "seed": "2138677929983086631", "semantic_fingerprint": "sha256:7554a2d0292f439fa1c6dd0f4fccf2b94de97a8bc3a5a4d98c4153d7bfe9bfd1", "generator_version": "3.0"}
{"id": "v3_val_00004785", "prompt": "Compute: -40 + (-23) + (-6)", "solution_steps": ["Add: -40 + (-23) = -63", "Add: -63 + (-6) = -69"], "final_answer": "-69", "answer_type": "integer", "kind": "expression", "math_text": "-40 + (-23) + (-6)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -23, \"c\": -6}", "seed": "17052030350430293918", "semantic_fingerprint": "sha256:dd7cdba0d2ef27b551dd0508aec32ef90b33a7717e0b9aefd3c83a0039128371", "generator_version": "3.0"}
{"id": "v3_val_00004786", "prompt": "Compute: -2 - (-575)", "solution_steps": ["Subtract: -2 - (-575) = 573"], "final_answer": "573", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-575)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -575}", "seed": "15037151975120695699", "semantic_fingerprint": "sha256:07c7d1fed009684a8fd8c47e13afc41c661ad1239d1122fcc96f8d26e2627401", "generator_version": "3.0"}
{"id": "v3_val_00004787", "prompt": "Compute: -99 * (66 + 87)", "solution_steps": ["Add: 66 + 87 = 153", "Multiply: -99 * 153 = -15147"], "final_answer": "-15147", "answer_type": "integer", "kind": "expression", "math_text": "-99 * (66 + 87)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 66, \"c\": 87}", "seed": "12358079229769990620", "semantic_fingerprint": "sha256:d0ffdcd20c8a706b30978d39d2aecee855ca97e694002bb2a427c2e3d83a3101", "generator_version": "3.0"}
{"id": "v3_val_00004788", "prompt": "Find x: 3(x + 25) + 28 = 12(x + 46)", "solution_steps": ["Expand: 3x + 75 + 28 = 12(x + 46)", "Expand: 3x + 75 + 28 = 12x + 552", "Combine constants: 3x + 103 = 12x + 552", "Subtract 12x from both sides: -9x + 103 = 552", "Subtract 103 from both sides: -9x = 449", "Divide both sides by -9: x = -449/9"], "final_answer": "-449/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 25) + 28 = 12(x + 46)", "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\": 28, \"d\": 12, \"e\": 46}", "seed": "3276072087019742326", "semantic_fingerprint": "sha256:d3b9e8d2ebe3d224d5b17a1e14d7f4da0ae582865bd17d38eb03da988fd1aa77", "generator_version": "3.0"}
{"id": "v3_val_00004789", "prompt": "Evaluate: (-5 + (-9)) / (-7) / 83", "solution_steps": ["Add: -5 + (-9) = -14", "Divide: -14 / (-7) = 2", "Divide: 2 / 83 = 2/83"], "final_answer": "2/83", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + (-9)) / (-7) / 83", "variable": null, "family": "expression_3op", "shape": "(/ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -9, \"c\": -7, \"d\": 83}", "seed": "947740251608657649", "semantic_fingerprint": "sha256:b61605c38f204ac6681272b1706eac90319eff7b22fb8244dd6a2393536dc39b", "generator_version": "3.0"}
{"id": "v3_val_00004790", "prompt": "Calculate: 8 * (-694) * 18", "solution_steps": ["Multiply: 8 * (-694) = -5552", "Multiply: -5552 * 18 = -99936"], "final_answer": "-99936", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-694) * 18", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -694, \"c\": 18}", "seed": "9176112452472226366", "semantic_fingerprint": "sha256:90460bd9bb24ad53b21fb6b2af43461654504a9174491a596df1c28b63bb5ffa", "generator_version": "3.0"}
{"id": "v3_val_00004791", "prompt": "Compute: 0 * (831 - (-98 - (-34))) - 399 / 52", "solution_steps": ["Subtract: -98 - (-34) = -64", "Subtract: 831 - (-64) = 895", "Multiply: 0 * 895 = 0", "Divide: 399 / 52 = 399/52", "Subtract: 0 - 399/52 = -399/52"], "final_answer": "-399/52", "answer_type": "rational", "kind": "expression", "math_text": "0 * (831 - (-98 - (-34))) - 399 / 52", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n (- n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 831, \"c\": -98, \"d\": -34, \"e\": 399, \"f\": 52}", "seed": "3690225569552023089", "semantic_fingerprint": "sha256:ee31376f68f8092836f5664e1fc4e2fc8c789bc1a8d560a595beacb12bf57bb4", "generator_version": "3.0"}
{"id": "v3_val_00004792", "prompt": "What is -622 / 23 / (0 + 35 - 39 / (-7))?", "solution_steps": ["Divide: -622 / 23 = -622/23", "Add: 0 + 35 = 35", "Divide: 39 / (-7) = -39/7", "Subtract: 35 - (-39/7) = 284/7", "Divide: (-622/23) / (284/7) = -2177/3266"], "final_answer": "-2177/3266", "answer_type": "rational", "kind": "expression", "math_text": "-622 / 23 / (0 + 35 - 39 / (-7))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (- (+ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -622, \"b\": 23, \"c\": 0, \"d\": 35, \"e\": 39, \"f\": -7}", "seed": "2527870583602663858", "semantic_fingerprint": "sha256:12c9ae93d7cd65acd18ff200440ebf26d1adebfd75a18261312e3fa8373c9845", "generator_version": "3.0"}
{"id": "v3_val_00004793", "prompt": "Solve for x: x - 231 = 2(x + 45) + 3", "solution_steps": ["Expand: x - 231 = 2x + 90 + 3", "Combine constants: x - 231 = 2x + 93", "Subtract 2x from both sides: -x - 231 = 93", "Add 231 to both sides: -x = 324", "Divide both sides by -1: x = -324"], "final_answer": "-324", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 231 = 2(x + 45) + 3", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 231, \"b\": 2, \"c\": 45, \"d\": 3}", "seed": "9108691543666616924", "semantic_fingerprint": "sha256:99e374001f02a0df90286086f7624861469c058be72661e31fd2210e3a86899e", "generator_version": "3.0"}
{"id": "v3_val_00004794", "prompt": "Compute: -28 + (-4)", "solution_steps": ["Add: -28 + (-4) = -32"], "final_answer": "-32", "answer_type": "integer", "kind": "expression", "math_text": "-28 + (-4)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -4}", "seed": "14606138004872444799", "semantic_fingerprint": "sha256:b34e347a1d1832d2e344d3b213fb3e39bdd0a51d27c44858dc33c9b003f71a20", "generator_version": "3.0"}
{"id": "v3_val_00004795", "prompt": "Compute: 0 * (35 / 85) + (-682) / (-194)", "solution_steps": ["Divide: 35 / 85 = 7/17", "Multiply: 0 * (7/17) = 0", "Divide: -682 / (-194) = 341/97", "Add: 0 + 341/97 = 341/97"], "final_answer": "341/97", "answer_type": "rational", "kind": "expression", "math_text": "0 * (35 / 85) + (-682) / (-194)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 35, \"c\": 85, \"d\": -682, \"e\": -194}", "seed": "3396042847621884596", "semantic_fingerprint": "sha256:7ae85bf09577efdcaf4f3368e7a6b5483ddbcffa92db9e9d24ee904d5487c80d", "generator_version": "3.0"}
{"id": "v3_val_00004796", "prompt": "What is (3 + 37 - (-537)) * (-3) * (83 - (-61))?", "solution_steps": ["Add: 3 + 37 = 40", "Subtract: 40 - (-537) = 577", "Multiply: 577 * (-3) = -1731", "Subtract: 83 - (-61) = 144", "Multiply: -1731 * 144 = -249264"], "final_answer": "-249264", "answer_type": "integer", "kind": "expression", "math_text": "(3 + 37 - (-537)) * (-3) * (83 - (-61))", "variable": null, "family": "expression_5op", "shape": "(* (* (- (+ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 37, \"c\": -537, \"d\": -3, \"e\": 83, \"f\": -61}", "seed": "14996186992063281509", "semantic_fingerprint": "sha256:dd3d2ae5156fbe1d6f286526a1552dc9adde86238d923e1e340ab90d4261cdc5", "generator_version": "3.0"}
{"id": "v3_val_00004797", "prompt": "Calculate: -4 / (-656) + 83", "solution_steps": ["Divide: -4 / (-656) = 1/164", "Add: 1/164 + 83 = 13613/164"], "final_answer": "13613/164", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-656) + 83", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -656, \"c\": 83}", "seed": "17792489880666909252", "semantic_fingerprint": "sha256:99b1434b80226daa472a7c51f16be36462f52c1513252544f9d3b5d333d2121d", "generator_version": "3.0"}
{"id": "v3_val_00004798", "prompt": "Calculate: -7 * (2 - (-27))", "solution_steps": ["Subtract: 2 - (-27) = 29", "Multiply: -7 * 29 = -203"], "final_answer": "-203", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (2 - (-27))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": -27}", "seed": "15472049418440530116", "semantic_fingerprint": "sha256:cceecf2f41598dd007fc8c92d4ea122ab1e8c686d35a2e2a952fd9335389d952", "generator_version": "3.0"}
{"id": "v3_val_00004799", "prompt": "Find x: 12(x + 8) - 953 = 8(x - 528) - 73", "solution_steps": ["Expand: 12x + 96 - 953 = 8(x - 528) - 73", "Expand: 12x + 96 - 953 = 8x - 4224 - 73", "Combine constants: 12x - 857 = 8x - 4224 - 73", "Combine constants: 12x - 857 = 8x - 4297", "Subtract 8x from both sides: 4x - 857 = -4297", "Add 857 to both sides: 4x = -3440", "Divide both sides by 4: x = -860"], "final_answer": "-860", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 8) - 953 = 8(x - 528) - 73", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 953, \"d\": 8, \"e\": 528, \"f\": 73}", "seed": "10870136365284076955", "semantic_fingerprint": "sha256:368c259f8e764359529db7a31582d0bb7602a47e6716fce036f180b66a2a6e31", "generator_version": "3.0"}
{"id": "v3_val_00004800", "prompt": "Solve for x: x + 261 = -7x + 181", "solution_steps": ["Add 7x to both sides: 8x + 261 = 181", "Subtract 261 from both sides: 8x = -80", "Divide both sides by 8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 261 = -7x + 181", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 261, \"b\": -7, \"d\": 181, \"x\": -10}", "seed": "5906289589993644702", "semantic_fingerprint": "sha256:d6cf9130c06fc22415ab817dc7c2891535c17218c32ca9fd2d29bc444d1d14b0", "generator_version": "3.0"}
{"id": "v3_val_00004801", "prompt": "Evaluate: 16 * (94 * 522)", "solution_steps": ["Multiply: 94 * 522 = 49068", "Multiply: 16 * 49068 = 785088"], "final_answer": "785088", "answer_type": "integer", "kind": "expression", "math_text": "16 * (94 * 522)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 94, \"c\": 522}", "seed": "16829041492898871597", "semantic_fingerprint": "sha256:18867d053bb0603f41cf668e103f23e8346e7715f9d6b2fcd2ca2b1d64a0b4a8", "generator_version": "3.0"}
{"id": "v3_val_00004802", "prompt": "Compute: 77 / (-272 / 2)", "solution_steps": ["Divide: -272 / 2 = -136", "Divide: 77 / (-136) = -77/136"], "final_answer": "-77/136", "answer_type": "rational", "kind": "expression", "math_text": "77 / (-272 / 2)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -272, \"c\": 2}", "seed": "16567758815147301823", "semantic_fingerprint": "sha256:a211fa3ec89b0c23e14bbf5aacd33e475d4732d8656b5207675e80ce069b1dca", "generator_version": "3.0"}
{"id": "v3_val_00004803", "prompt": "What value of x satisfies 11(x - 57) - 323 = -7(x + 915) + 92?", "solution_steps": ["Expand: 11x - 627 - 323 = -7(x + 915) + 92", "Expand: 11x - 627 - 323 = -7x - 6405 + 92", "Combine constants: 11x - 950 = -7x - 6405 + 92", "Combine constants: 11x - 950 = -7x - 6313", "Add 7x to both sides: 18x - 950 = -6313", "Add 950 to both sides: 18x = -5363", "Divide both sides by 18: x = -5363/18"], "final_answer": "-5363/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 57) - 323 = -7(x + 915) + 92", "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\": 323, \"d\": -7, \"e\": 915, \"f\": 92}", "seed": "14136107441506244832", "semantic_fingerprint": "sha256:2772c4bb90e79b459e39b9ee9637ce99a0320bbfe4d8b10fd8d355167fa6084a", "generator_version": "3.0"}
{"id": "v3_val_00004804", "prompt": "Evaluate: -64 - 75 + (-162) / 893", "solution_steps": ["Subtract: -64 - 75 = -139", "Divide: -162 / 893 = -162/893", "Add: -139 + (-162/893) = -124289/893"], "final_answer": "-124289/893", "answer_type": "rational", "kind": "expression", "math_text": "-64 - 75 + (-162) / 893", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 75, \"c\": -162, \"d\": 893}", "seed": "10904197163674196121", "semantic_fingerprint": "sha256:d06807a7e82d292c19abda97f626cc7bc05ccb3f90e781db81bf70714916e1d8", "generator_version": "3.0"}
{"id": "v3_val_00004805", "prompt": "Solve the equation 9(x + 25) + 165 = 10x + 393 for x.", "solution_steps": ["Expand: 9x + 225 + 165 = 10x + 393", "Combine constants: 9x + 390 = 10x + 393", "Subtract 10x from both sides: -x + 390 = 393", "Subtract 390 from both sides: -x = 3", "Divide both sides by -1: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 25) + 165 = 10x + 393", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 25, \"c\": 165, \"d\": 10, \"f\": 393, \"x\": -3}", "seed": "3394645350998057924", "semantic_fingerprint": "sha256:978d6be5618036b17ed65f0ebecc8b5dc68d72f8dc8e7769f26871f719cb6a6d", "generator_version": "3.0"}
{"id": "v3_val_00004806", "prompt": "Compute: (7 * 36 - 706) * (-919)", "solution_steps": ["Multiply: 7 * 36 = 252", "Subtract: 252 - 706 = -454", "Multiply: -454 * (-919) = 417226"], "final_answer": "417226", "answer_type": "integer", "kind": "expression", "math_text": "(7 * 36 - 706) * (-919)", "variable": null, "family": "expression_3op", "shape": "(* (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 36, \"c\": 706, \"d\": -919}", "seed": "15640486635306765059", "semantic_fingerprint": "sha256:22325535511ecb6140f6896e4e356d5ad430990ea84db018420b648f3ae5ad29", "generator_version": "3.0"}
{"id": "v3_val_00004807", "prompt": "Solve the equation 10x - 62 = 11(x - 85) + 879 for x.", "solution_steps": ["Expand: 10x - 62 = 11x - 935 + 879", "Combine constants: 10x - 62 = 11x - 56", "Subtract 11x from both sides: -x - 62 = -56", "Add 62 to both sides: -x = 6", "Divide both sides by -1: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 62 = 11(x - 85) + 879", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 62, \"c\": 11, \"d\": 85, \"f\": 879, \"x\": -6}", "seed": "6588452823207172553", "semantic_fingerprint": "sha256:517f163ba3cfa0c838afe5ed1d2a97243cf81035addb6482a5239edb26195a12", "generator_version": "3.0"}
{"id": "v3_val_00004808", "prompt": "Calculate: -3 + 8", "solution_steps": ["Add: -3 + 8 = 5"], "final_answer": "5", "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": "2560300325610807610", "semantic_fingerprint": "sha256:e321e926aee003d46590b0526b5827eb07315d14aaceb6171091c7e6fb8d12d0", "generator_version": "3.0"}
{"id": "v3_val_00004809", "prompt": "What is 29 - 0?", "solution_steps": ["Subtract: 29 - 0 = 29"], "final_answer": "29", "answer_type": "integer", "kind": "expression", "math_text": "29 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 0}", "seed": "587839658561653820", "semantic_fingerprint": "sha256:264e32e9e52b3fde01e753dcea5575192a629bc6f103beae4387d41f415f8bab", "generator_version": "3.0"}
{"id": "v3_val_00004810", "prompt": "Evaluate: (-62 - (-49)) / 6", "solution_steps": ["Subtract: -62 - (-49) = -13", "Divide: -13 / 6 = -13/6"], "final_answer": "-13/6", "answer_type": "rational", "kind": "expression", "math_text": "(-62 - (-49)) / 6", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -49, \"c\": 6}", "seed": "4263721560742398717", "semantic_fingerprint": "sha256:fd85a91f90d247873dabd7c5b7262fc14027ea63920dde9c75922c3842760dbe", "generator_version": "3.0"}
{"id": "v3_val_00004811", "prompt": "What is 521 + (-2 + 62) + 4?", "solution_steps": ["Add: -2 + 62 = 60", "Add: 521 + 60 = 581", "Add: 581 + 4 = 585"], "final_answer": "585", "answer_type": "integer", "kind": "expression", "math_text": "521 + (-2 + 62) + 4", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 521, \"b\": -2, \"c\": 62, \"d\": 4}", "seed": "12447670206544118157", "semantic_fingerprint": "sha256:f30c7b5bd22f2cdaeeeb5874e935c7126a4937ec6aa2e6d00dc2053ae8c013e8", "generator_version": "3.0"}
{"id": "v3_val_00004812", "prompt": "What is 598 + (-7) + (-46) + (87 + (44 - 23))?", "solution_steps": ["Add: 598 + (-7) = 591", "Add: 591 + (-46) = 545", "Subtract: 44 - 23 = 21", "Add: 87 + 21 = 108", "Add: 545 + 108 = 653"], "final_answer": "653", "answer_type": "integer", "kind": "expression", "math_text": "598 + (-7) + (-46) + (87 + (44 - 23))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 598, \"b\": -7, \"c\": -46, \"d\": 87, \"e\": 44, \"f\": 23}", "seed": "11284958319632336488", "semantic_fingerprint": "sha256:3d3bc3a4cf4991bd7b0c47b79f398638a0aaf7f62ddb2b1463fff807a065c68d", "generator_version": "3.0"}
{"id": "v3_val_00004813", "prompt": "Calculate: (-6 + (-13)) / 962", "solution_steps": ["Add: -6 + (-13) = -19", "Divide: -19 / 962 = -19/962"], "final_answer": "-19/962", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (-13)) / 962", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -13, \"c\": 962}", "seed": "6000178016833941158", "semantic_fingerprint": "sha256:bc74e2ffb450168b462a9c4602388184870e1ae5ea9ad05d349d56287fe10d5b", "generator_version": "3.0"}
{"id": "v3_val_00004814", "prompt": "What value of x satisfies 5(x - 4) + 19 = -8x - 209?", "solution_steps": ["Expand: 5x - 20 + 19 = -8x - 209", "Combine constants: 5x - 1 = -8x - 209", "Add 8x to both sides: 13x - 1 = -209", "Add 1 to both sides: 13x = -208", "Divide both sides by 13: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 4) + 19 = -8x - 209", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 19, \"d\": -8, \"f\": -209, \"x\": -16}", "seed": "18353094672492142851", "semantic_fingerprint": "sha256:1c2dc17abad6bf57ca32f187263c2f8e08c2975d33339bf4f58d96cf30132ed0", "generator_version": "3.0"}
{"id": "v3_val_00004815", "prompt": "Compute: 626 - (-35) * 4", "solution_steps": ["Multiply: -35 * 4 = -140", "Subtract: 626 - (-140) = 766"], "final_answer": "766", "answer_type": "integer", "kind": "expression", "math_text": "626 - (-35) * 4", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 626, \"b\": -35, \"c\": 4}", "seed": "14248197330402385221", "semantic_fingerprint": "sha256:6a15f67cf516ced8c2bf86d803d2b36b49fcf5c5659b61a0f36578981581511f", "generator_version": "3.0"}
{"id": "v3_val_00004816", "prompt": "Calculate: 5 * (-2)", "solution_steps": ["Multiply: 5 * (-2) = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-2)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -2}", "seed": "9758872716500936443", "semantic_fingerprint": "sha256:11cbbaead6e47add58bc87150fcb446f7145f8ea410305938dec10db0862dfa4", "generator_version": "3.0"}
{"id": "v3_val_00004817", "prompt": "Solve for x: 2(x + 9) + 2 = -7x + 155", "solution_steps": ["Expand: 2x + 18 + 2 = -7x + 155", "Combine constants: 2x + 20 = -7x + 155", "Add 7x to both sides: 9x + 20 = 155", "Subtract 20 from both sides: 9x = 135", "Divide both sides by 9: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 9) + 2 = -7x + 155", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 2, \"d\": -7, \"f\": 155, \"x\": 15}", "seed": "12722109726044805508", "semantic_fingerprint": "sha256:8754813c31f737acd72758d8a357138039ba689df2184d82483c1d9cc4b49478", "generator_version": "3.0"}
{"id": "v3_val_00004818", "prompt": "What value of x satisfies x = -3(x - 153) - 415?", "solution_steps": ["Expand: x = -3x + 459 - 415", "Combine constants: x = -3x + 44", "Add 3x to both sides: 4x = 44", "Divide both sides by 4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -3(x - 153) - 415", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 153, \"d\": -415, \"x\": 11}", "seed": "8986385729347833551", "semantic_fingerprint": "sha256:fc33aa8939c5500ee2ac9b9a053010bea0cc884c2d427c43836937e91d2edd16", "generator_version": "3.0"}
{"id": "v3_val_00004819", "prompt": "Compute: -30 + (508 + 884 + 62)", "solution_steps": ["Add: 508 + 884 = 1392", "Add: 1392 + 62 = 1454", "Add: -30 + 1454 = 1424"], "final_answer": "1424", "answer_type": "integer", "kind": "expression", "math_text": "-30 + (508 + 884 + 62)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": 508, \"c\": 884, \"d\": 62}", "seed": "4100513858791100356", "semantic_fingerprint": "sha256:8cb1e47001a869bdbde6912697084f67190777aecca18b0819a417416ea54946", "generator_version": "3.0"}
{"id": "v3_val_00004820", "prompt": "What value of x satisfies -10(x + 56) + 57 = x - 31?", "solution_steps": ["Expand: -10x - 560 + 57 = x - 31", "Combine constants: -10x - 503 = x - 31", "Subtract x from both sides: -11x - 503 = -31", "Add 503 to both sides: -11x = 472", "Divide both sides by -11: x = -472/11"], "final_answer": "-472/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 56) + 57 = x - 31", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 56, \"c\": 57, \"d\": 31}", "seed": "6120301114843276095", "semantic_fingerprint": "sha256:bc44e0472aaf8cd554a0ad9976a6bb2a7f18f5dfac343e3f4a5bb7655ebb30d8", "generator_version": "3.0"}
{"id": "v3_val_00004821", "prompt": "What is 367 * (1 * 83)?", "solution_steps": ["Multiply: 1 * 83 = 83", "Multiply: 367 * 83 = 30461"], "final_answer": "30461", "answer_type": "integer", "kind": "expression", "math_text": "367 * (1 * 83)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 367, \"b\": 1, \"c\": 83}", "seed": "10882622749607872908", "semantic_fingerprint": "sha256:a807d10c0614d7f375aa6d0e4da8e9e617b23ef2bc5f6269947651eef8147b65", "generator_version": "3.0"}
{"id": "v3_val_00004822", "prompt": "Solve for x: 7x - 72 = -11x", "solution_steps": ["Add 11x to both sides: 18x - 72 = 0", "Add 72 to both sides: 18x = 72", "Divide both sides by 18: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 72 = -11x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -11, \"d\": -72, \"x\": 4}", "seed": "17795043517612452460", "semantic_fingerprint": "sha256:b6513caa23caa5169a74a0d2b09fde4c32a3dc3b1b838ff27e172f47bd25c39f", "generator_version": "3.0"}
{"id": "v3_val_00004823", "prompt": "What is -180 * 518 / (80 / 3)?", "solution_steps": ["Multiply: -180 * 518 = -93240", "Divide: 80 / 3 = 80/3", "Divide: -93240 / (80/3) = -6993/2"], "final_answer": "-6993/2", "answer_type": "rational", "kind": "expression", "math_text": "-180 * 518 / (80 / 3)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -180, \"b\": 518, \"c\": 80, \"d\": 3}", "seed": "5139781476531653100", "semantic_fingerprint": "sha256:c8bebb4d51d629ec1742587efac295666546544b21f4b9e2e590a5c7208db197", "generator_version": "3.0"}
{"id": "v3_val_00004824", "prompt": "Compute: 7 - (-481 + 19)", "solution_steps": ["Add: -481 + 19 = -462", "Subtract: 7 - (-462) = 469"], "final_answer": "469", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-481 + 19)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -481, \"c\": 19}", "seed": "3673376365305971183", "semantic_fingerprint": "sha256:8fcd6450952835aa98b3c4ddd627b71225bd78ad4678faba70232015ad9ba124", "generator_version": "3.0"}
{"id": "v3_val_00004825", "prompt": "Calculate: (-16 + (-626) + (-10)) * (0 / (-60))", "solution_steps": ["Add: -16 + (-626) = -642", "Add: -642 + (-10) = -652", "Divide: 0 / (-60) = 0", "Multiply: -652 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-16 + (-626) + (-10)) * (0 / (-60))", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -626, \"c\": -10, \"d\": 0, \"e\": -60}", "seed": "16448004192719848687", "semantic_fingerprint": "sha256:645c5cc8361348ca902451c87547ad2a781f1b909e2101a1b29220ba96b6f80a", "generator_version": "3.0"}
{"id": "v3_val_00004826", "prompt": "Compute: 2 / (-58) + (-31 - 906 / 5)", "solution_steps": ["Divide: 2 / (-58) = -1/29", "Divide: 906 / 5 = 906/5", "Subtract: -31 - 906/5 = -1061/5", "Add: -1/29 + (-1061/5) = -30774/145"], "final_answer": "-30774/145", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-58) + (-31 - 906 / 5)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -58, \"c\": -31, \"d\": 906, \"e\": 5}", "seed": "268863908121582614", "semantic_fingerprint": "sha256:129f2a16ae2c77d1b83489efdbcc74378cb5011737beebcb67bda9a350db13d0", "generator_version": "3.0"}
{"id": "v3_val_00004827", "prompt": "Calculate: -33 * (-40 - (0 * 5 + 2))", "solution_steps": ["Multiply: 0 * 5 = 0", "Add: 0 + 2 = 2", "Subtract: -40 - 2 = -42", "Multiply: -33 * (-42) = 1386"], "final_answer": "1386", "answer_type": "integer", "kind": "expression", "math_text": "-33 * (-40 - (0 * 5 + 2))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (+ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -40, \"c\": 0, \"d\": 5, \"e\": 2}", "seed": "15697226026442770719", "semantic_fingerprint": "sha256:469c84efc1926318df38a0a77ee888a29724b7cfb2466b381977a11b48186c32", "generator_version": "3.0"}
{"id": "v3_val_00004828", "prompt": "Compute: -6 - 532 - (-50)", "solution_steps": ["Subtract: -6 - 532 = -538", "Subtract: -538 - (-50) = -488"], "final_answer": "-488", "answer_type": "integer", "kind": "expression", "math_text": "-6 - 532 - (-50)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 532, \"c\": -50}", "seed": "3060706294733767451", "semantic_fingerprint": "sha256:bf7f2454099720ee076c63b277da0b5e1852ec6c5b1cad37ca2ace2410ece0c4", "generator_version": "3.0"}
{"id": "v3_val_00004829", "prompt": "What value of x satisfies -7(x - 37) + 69 = -3(x - 5) + 309?", "solution_steps": ["Expand: -7x + 259 + 69 = -3(x - 5) + 309", "Expand: -7x + 259 + 69 = -3x + 15 + 309", "Combine constants: -7x + 328 = -3x + 15 + 309", "Combine constants: -7x + 328 = -3x + 324", "Add 3x to both sides: -4x + 328 = 324", "Subtract 328 from both sides: -4x = -4", "Divide both sides by -4: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 37) + 69 = -3(x - 5) + 309", "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\": 69, \"d\": -3, \"e\": 5, \"g\": 309, \"x\": 1}", "seed": "6133330136960297162", "semantic_fingerprint": "sha256:6594efca660b61409a31d02b7053976d150788f9832f036a14e225d9b192ed58", "generator_version": "3.0"}
{"id": "v3_val_00004830", "prompt": "Compute: 19 * (-72 / (-28) + (-60))", "solution_steps": ["Divide: -72 / (-28) = 18/7", "Add: 18/7 + (-60) = -402/7", "Multiply: 19 * (-402/7) = -7638/7"], "final_answer": "-7638/7", "answer_type": "rational", "kind": "expression", "math_text": "19 * (-72 / (-28) + (-60))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -72, \"c\": -28, \"d\": -60}", "seed": "11485125655142902360", "semantic_fingerprint": "sha256:d30e102655dbb4de7193307a97f45f83dd0eccfa1103936ff9124274cf438fde", "generator_version": "3.0"}
{"id": "v3_val_00004831", "prompt": "Solve the equation 7(x - 849) = 3(x - 36) for x.", "solution_steps": ["Expand: 7x - 5943 = 3(x - 36)", "Expand: 7x - 5943 = 3x - 108", "Subtract 3x from both sides: 4x - 5943 = -108", "Add 5943 to both sides: 4x = 5835", "Divide both sides by 4: x = 5835/4"], "final_answer": "5835/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 849) = 3(x - 36)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 849, \"c\": 3, \"d\": 36}", "seed": "10023047111893595568", "semantic_fingerprint": "sha256:17019324073d767f500d85b25d2b88350e137769f50920537ed9df608f267db3", "generator_version": "3.0"}
{"id": "v3_val_00004832", "prompt": "Evaluate: -8 + (-968 + (-47)) * (-9)", "solution_steps": ["Add: -968 + (-47) = -1015", "Multiply: -1015 * (-9) = 9135", "Add: -8 + 9135 = 9127"], "final_answer": "9127", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-968 + (-47)) * (-9)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -968, \"c\": -47, \"d\": -9}", "seed": "5507564477021499725", "semantic_fingerprint": "sha256:466c70230151bf0dd49e30aaf3d417a5ae34c3a173f4b4ff5f3b37e0f716047b", "generator_version": "3.0"}
{"id": "v3_val_00004833", "prompt": "What value of x satisfies -9(x + 94) - 8 = -11x - 840?", "solution_steps": ["Expand: -9x - 846 - 8 = -11x - 840", "Combine constants: -9x - 854 = -11x - 840", "Add 11x to both sides: 2x - 854 = -840", "Add 854 to both sides: 2x = 14", "Divide both sides by 2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 94) - 8 = -11x - 840", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 94, \"c\": 8, \"d\": -11, \"f\": -840, \"x\": 7}", "seed": "17306922525034599202", "semantic_fingerprint": "sha256:30cd7c4e0ae21248d4b33d012e043073547185a3faed46a75ba4de9e7999f416", "generator_version": "3.0"}
{"id": "v3_val_00004834", "prompt": "Solve for x: 2(x + 67) + 62 = 9(x - 526)", "solution_steps": ["Expand: 2x + 134 + 62 = 9(x - 526)", "Expand: 2x + 134 + 62 = 9x - 4734", "Combine constants: 2x + 196 = 9x - 4734", "Subtract 9x from both sides: -7x + 196 = -4734", "Subtract 196 from both sides: -7x = -4930", "Divide both sides by -7: x = 4930/7"], "final_answer": "4930/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 67) + 62 = 9(x - 526)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 67, \"c\": 62, \"d\": 9, \"e\": 526}", "seed": "2340898255801576897", "semantic_fingerprint": "sha256:d41e3e308131ea44eff793e3b8b761d3e9eed3aefd2230a748224c800fcdf15b", "generator_version": "3.0"}
{"id": "v3_val_00004835", "prompt": "What value of x satisfies x - 9 = 8(x + 2) + 94?", "solution_steps": ["Expand: x - 9 = 8x + 16 + 94", "Combine constants: x - 9 = 8x + 110", "Subtract 8x from both sides: -7x - 9 = 110", "Add 9 to both sides: -7x = 119", "Divide both sides by -7: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 8(x + 2) + 94", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 2, \"e\": 94, \"x\": -17}", "seed": "16033734517990258195", "semantic_fingerprint": "sha256:cac5d9674189279849471b5204d1c41f94c350857d96f31ff34b8b5836ed71d3", "generator_version": "3.0"}
{"id": "v3_val_00004836", "prompt": "Solve for x: x - 78 = 5(x - 61)", "solution_steps": ["Expand: x - 78 = 5x - 305", "Subtract 5x from both sides: -4x - 78 = -305", "Add 78 to both sides: -4x = -227", "Divide both sides by -4: x = 227/4"], "final_answer": "227/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 78 = 5(x - 61)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 5, \"c\": 61}", "seed": "5749654068390990625", "semantic_fingerprint": "sha256:82c047defe6c019607a9bf0f42dd714664d0f1a1cfa4b03fa167490b754d7e49", "generator_version": "3.0"}
{"id": "v3_val_00004837", "prompt": "Calculate: 38 / 431 + 170 / (0 + (-2))", "solution_steps": ["Divide: 38 / 431 = 38/431", "Add: 0 + (-2) = -2", "Divide: 170 / (-2) = -85", "Add: 38/431 + (-85) = -36597/431"], "final_answer": "-36597/431", "answer_type": "rational", "kind": "expression", "math_text": "38 / 431 + 170 / (0 + (-2))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 431, \"c\": 170, \"d\": 0, \"e\": -2}", "seed": "10963018451116650165", "semantic_fingerprint": "sha256:ba0c6c9f547d711154a20eca09afcbc4144e1e1fba1e9c8a89124a02a923dd64", "generator_version": "3.0"}
{"id": "v3_val_00004838", "prompt": "What is -57 + (-71 - (36 - 258))?", "solution_steps": ["Subtract: 36 - 258 = -222", "Subtract: -71 - (-222) = 151", "Add: -57 + 151 = 94"], "final_answer": "94", "answer_type": "integer", "kind": "expression", "math_text": "-57 + (-71 - (36 - 258))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -71, \"c\": 36, \"d\": 258}", "seed": "9433025029180738278", "semantic_fingerprint": "sha256:2bbed0d95f4de3eb807208fb205782ad3afd8c361359aeefb1cf891e7f093daa", "generator_version": "3.0"}
{"id": "v3_val_00004839", "prompt": "Calculate: 2 - (-265) / 622", "solution_steps": ["Divide: -265 / 622 = -265/622", "Subtract: 2 - (-265/622) = 1509/622"], "final_answer": "1509/622", "answer_type": "rational", "kind": "expression", "math_text": "2 - (-265) / 622", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -265, \"c\": 622}", "seed": "7154918645846119021", "semantic_fingerprint": "sha256:18607a3b72027cb0441594008883ad35bb7e027cfb2db923331a1de920352d38", "generator_version": "3.0"}
{"id": "v3_val_00004840", "prompt": "What value of x satisfies -3x + 116 = 10(x + 864) - 18?", "solution_steps": ["Expand: -3x + 116 = 10x + 8640 - 18", "Combine constants: -3x + 116 = 10x + 8622", "Subtract 10x from both sides: -13x + 116 = 8622", "Subtract 116 from both sides: -13x = 8506", "Divide both sides by -13: x = -8506/13"], "final_answer": "-8506/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x + 116 = 10(x + 864) - 18", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 116, \"c\": 10, \"d\": 864, \"e\": 18}", "seed": "2183338278147261870", "semantic_fingerprint": "sha256:879d54f5ef70b47cf3dccfeaececdc43235aa8f8a59ddc0ea28e8612247a01de", "generator_version": "3.0"}
{"id": "v3_val_00004841", "prompt": "Evaluate: -31 / (6 / (-10) + (212 - 0))", "solution_steps": ["Divide: 6 / (-10) = -3/5", "Subtract: 212 - 0 = 212", "Add: -3/5 + 212 = 1057/5", "Divide: -31 / (1057/5) = -155/1057"], "final_answer": "-155/1057", "answer_type": "rational", "kind": "expression", "math_text": "-31 / (6 / (-10) + (212 - 0))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 6, \"c\": -10, \"d\": 212, \"e\": 0}", "seed": "18214412397535760712", "semantic_fingerprint": "sha256:834425b911da946a6e34292f348849f54d8ee4e41c1a5c13dbf9f78806cdcbb8", "generator_version": "3.0"}
{"id": "v3_val_00004842", "prompt": "Compute: (886 - 1) / ((-4 + 60) * 9)", "solution_steps": ["Subtract: 886 - 1 = 885", "Add: -4 + 60 = 56", "Multiply: 56 * 9 = 504", "Divide: 885 / 504 = 295/168"], "final_answer": "295/168", "answer_type": "rational", "kind": "expression", "math_text": "(886 - 1) / ((-4 + 60) * 9)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 886, \"b\": 1, \"c\": -4, \"d\": 60, \"e\": 9}", "seed": "3701455732543353579", "semantic_fingerprint": "sha256:ce21cd816f203771986a4cb7b88068ba943210db7cf2dd719829f5e0c693e99d", "generator_version": "3.0"}
{"id": "v3_val_00004843", "prompt": "What value of x satisfies x = -6(x + 38) + 319?", "solution_steps": ["Expand: x = -6x - 228 + 319", "Combine constants: x = -6x + 91", "Add 6x to both sides: 7x = 91", "Divide both sides by 7: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -6(x + 38) + 319", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 38, \"d\": 319, \"x\": 13}", "seed": "5943922266835467914", "semantic_fingerprint": "sha256:0b999005af4f152c8414c8e186131e51f28aee1eba2f0fedea67fa5ffa397cd0", "generator_version": "3.0"}
{"id": "v3_val_00004844", "prompt": "Evaluate: -6 * (580 - (-1) / 7)", "solution_steps": ["Divide: -1 / 7 = -1/7", "Subtract: 580 - (-1/7) = 4061/7", "Multiply: -6 * (4061/7) = -24366/7"], "final_answer": "-24366/7", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (580 - (-1) / 7)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 580, \"c\": -1, \"d\": 7}", "seed": "8763100036707293751", "semantic_fingerprint": "sha256:d9cfc66ef6f88826edb900bfa4f04b10dbe9807226c96f9e625bbd56b7a330f0", "generator_version": "3.0"}
{"id": "v3_val_00004845", "prompt": "What value of x satisfies 3x + 6 = 5(x - 710) - 7?", "solution_steps": ["Expand: 3x + 6 = 5x - 3550 - 7", "Combine constants: 3x + 6 = 5x - 3557", "Subtract 5x from both sides: -2x + 6 = -3557", "Subtract 6 from both sides: -2x = -3563", "Divide both sides by -2: x = 3563/2"], "final_answer": "3563/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x + 6 = 5(x - 710) - 7", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 5, \"d\": 710, \"e\": 7}", "seed": "17833484480966222255", "semantic_fingerprint": "sha256:7238d9a7522f9e532baa885b0b7507590d818a5ff3ec9bc3ba2904d50ac0bb9a", "generator_version": "3.0"}
{"id": "v3_val_00004846", "prompt": "Solve for x: -2x - 60 = x", "solution_steps": ["Subtract x from both sides: -3x - 60 = 0", "Add 60 to both sides: -3x = 60", "Divide both sides by -3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 60 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 60}", "seed": "15431073441183067333", "semantic_fingerprint": "sha256:b81eb99c6aa6d6a07b160a3566fa33395e900b7958bb26dff0ea357a14ce6744", "generator_version": "3.0"}
{"id": "v3_val_00004847", "prompt": "Evaluate: -854 * (-19)", "solution_steps": ["Multiply: -854 * (-19) = 16226"], "final_answer": "16226", "answer_type": "integer", "kind": "expression", "math_text": "-854 * (-19)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -854, \"b\": -19}", "seed": "15799186145550323063", "semantic_fingerprint": "sha256:103313210010b5628bdc0fb6f440ba844c4956ffc287930b6c29151b2ee92d26", "generator_version": "3.0"}
{"id": "v3_val_00004848", "prompt": "Evaluate: -301 - (-206 * 694 + 94 - (-994) * 615)", "solution_steps": ["Multiply: -206 * 694 = -142964", "Add: -142964 + 94 = -142870", "Multiply: -994 * 615 = -611310", "Subtract: -142870 - (-611310) = 468440", "Subtract: -301 - 468440 = -468741"], "final_answer": "-468741", "answer_type": "integer", "kind": "expression", "math_text": "-301 - (-206 * 694 + 94 - (-994) * 615)", "variable": null, "family": "expression_5op", "shape": "(- n (- (+ (* n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -301, \"b\": -206, \"c\": 694, \"d\": 94, \"e\": -994, \"f\": 615}", "seed": "12227888996908021604", "semantic_fingerprint": "sha256:fee96242b277e0e0725ab82447a8e5037bc2dfbaf386a63746816764d70df9b2", "generator_version": "3.0"}
{"id": "v3_val_00004849", "prompt": "Compute: (61 + (-2)) * (2 * (-5))", "solution_steps": ["Add: 61 + (-2) = 59", "Multiply: 2 * (-5) = -10", "Multiply: 59 * (-10) = -590"], "final_answer": "-590", "answer_type": "integer", "kind": "expression", "math_text": "(61 + (-2)) * (2 * (-5))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -2, \"c\": 2, \"d\": -5}", "seed": "14554863601354309246", "semantic_fingerprint": "sha256:5f73ccb4794caf669528964d2191d9ac4fd371123afe1d89e9594a1f86c9ce03", "generator_version": "3.0"}
{"id": "v3_val_00004850", "prompt": "Solve for x: x = -4(x + 23) - 566", "solution_steps": ["Expand: x = -4x - 92 - 566", "Combine constants: x = -4x - 658", "Add 4x to both sides: 5x = -658", "Divide both sides by 5: x = -658/5"], "final_answer": "-658/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -4(x + 23) - 566", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 23, \"c\": 566}", "seed": "4267750243012562413", "semantic_fingerprint": "sha256:1673b869d1feb56cc74943f312ff324471142eb493659d1c8a3f786d23a02991", "generator_version": "3.0"}
{"id": "v3_val_00004851", "prompt": "Compute: 2 * (-431 / 5)", "solution_steps": ["Divide: -431 / 5 = -431/5", "Multiply: 2 * (-431/5) = -862/5"], "final_answer": "-862/5", "answer_type": "rational", "kind": "expression", "math_text": "2 * (-431 / 5)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -431, \"c\": 5}", "seed": "17441456042473805814", "semantic_fingerprint": "sha256:c05568433710d40f21e34374ed191442835c88eef485833cf2183bc6e76328c9", "generator_version": "3.0"}
{"id": "v3_val_00004852", "prompt": "Calculate: (8 - (946 - (-42))) / (-731)", "solution_steps": ["Subtract: 946 - (-42) = 988", "Subtract: 8 - 988 = -980", "Divide: -980 / (-731) = 980/731"], "final_answer": "980/731", "answer_type": "rational", "kind": "expression", "math_text": "(8 - (946 - (-42))) / (-731)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 946, \"c\": -42, \"d\": -731}", "seed": "3627465663140626613", "semantic_fingerprint": "sha256:136331ebe14af1af776b9448d255cc2fc7c7ddea28f13d27a275ca1484622e4a", "generator_version": "3.0"}
{"id": "v3_val_00004853", "prompt": "Solve for x: -2(x - 90) - 159 = x", "solution_steps": ["Expand: -2x + 180 - 159 = x", "Combine constants: -2x + 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": "-2(x - 90) - 159 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 90, \"d\": -159, \"x\": 7}", "seed": "4959990811751486495", "semantic_fingerprint": "sha256:0d6e68288bb536e9ba44521e68f9cc7f2ff6b7bd5edf6c882a4cb33807b7765e", "generator_version": "3.0"}
{"id": "v3_val_00004854", "prompt": "Calculate: 631 / (-6) / 308", "solution_steps": ["Divide: 631 / (-6) = -631/6", "Divide: (-631/6) / 308 = -631/1848"], "final_answer": "-631/1848", "answer_type": "rational", "kind": "expression", "math_text": "631 / (-6) / 308", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 631, \"b\": -6, \"c\": 308}", "seed": "16553521746166522014", "semantic_fingerprint": "sha256:9d02aa38e2bb6e024c9a48b8b0103e3ffa07c6a7c94ceffbe3f58e5e00f13b7d", "generator_version": "3.0"}
{"id": "v3_val_00004855", "prompt": "What is -1 * 76 - 991 / 15?", "solution_steps": ["Multiply: -1 * 76 = -76", "Divide: 991 / 15 = 991/15", "Subtract: -76 - 991/15 = -2131/15"], "final_answer": "-2131/15", "answer_type": "rational", "kind": "expression", "math_text": "-1 * 76 - 991 / 15", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 76, \"c\": 991, \"d\": 15}", "seed": "13317078239448892200", "semantic_fingerprint": "sha256:01cf4bc7a358970ab73eb16c71abc5bf5e32acaadbe10f8f540791cbb0234459", "generator_version": "3.0"}
{"id": "v3_val_00004856", "prompt": "Solve the equation x = 4x - 39 for x.", "solution_steps": ["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 = 4x - 39", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": -39, \"x\": 13}", "seed": "9794738547284044207", "semantic_fingerprint": "sha256:a0ca47cd6f114cf92ad88cbd00902b869d27c7f9c9372db97b9b8ff38364a9b5", "generator_version": "3.0"}
{"id": "v3_val_00004857", "prompt": "Solve the equation x = 6(x - 90) - 2 for x.", "solution_steps": ["Expand: x = 6x - 540 - 2", "Combine constants: x = 6x - 542", "Subtract 6x from both sides: -5x = -542", "Divide both sides by -5: x = 542/5"], "final_answer": "542/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 6(x - 90) - 2", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 90, \"c\": 2}", "seed": "7917178232313880454", "semantic_fingerprint": "sha256:02aad0c81ec029beec29001a7d54ba9b2683eecff7d3d8d3c14a1ab066f8e56a", "generator_version": "3.0"}
{"id": "v3_val_00004858", "prompt": "Find x: -11(x - 6) = 3(x + 60) - 296", "solution_steps": ["Expand: -11x + 66 = 3(x + 60) - 296", "Expand: -11x + 66 = 3x + 180 - 296", "Combine constants: -11x + 66 = 3x - 116", "Subtract 3x from both sides: -14x + 66 = -116", "Subtract 66 from both sides: -14x = -182", "Divide both sides by -14: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 6) = 3(x + 60) - 296", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 3, \"d\": 60, \"f\": -296, \"x\": 13}", "seed": "666958389584401246", "semantic_fingerprint": "sha256:56780f78c39fddfe90aba49158550abe35e4b41c5136a1d88184e348dcce9384", "generator_version": "3.0"}
{"id": "v3_val_00004859", "prompt": "What is -45 * (8 / 7) / (-248)?", "solution_steps": ["Divide: 8 / 7 = 8/7", "Multiply: -45 * (8/7) = -360/7", "Divide: (-360/7) / (-248) = 45/217"], "final_answer": "45/217", "answer_type": "rational", "kind": "expression", "math_text": "-45 * (8 / 7) / (-248)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 8, \"c\": 7, \"d\": -248}", "seed": "4078231547224342398", "semantic_fingerprint": "sha256:b9ddb39b376932e7bdf30c3e90165a5d8187e3694715e6ba78c5716eea26e64b", "generator_version": "3.0"}
{"id": "v3_val_00004860", "prompt": "Solve the equation x - 67 = 5(x - 15) for x.", "solution_steps": ["Expand: x - 67 = 5x - 75", "Subtract 5x from both sides: -4x - 67 = -75", "Add 67 to both sides: -4x = -8", "Divide both sides by -4: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 67 = 5(x - 15)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 15, \"d\": -67, \"x\": 2}", "seed": "13066952888380058681", "semantic_fingerprint": "sha256:4b60c027b7f6e8c818bebd09f72d6bb123c0cc205ae019824745774e95397e4f", "generator_version": "3.0"}
{"id": "v3_val_00004861", "prompt": "Evaluate: 52 / (14 / (-7 / (-94))) * (-907 - (-1))", "solution_steps": ["Divide: -7 / (-94) = 7/94", "Divide: 14 / (7/94) = 188", "Divide: 52 / 188 = 13/47", "Subtract: -907 - (-1) = -906", "Multiply: (13/47) * (-906) = -11778/47"], "final_answer": "-11778/47", "answer_type": "rational", "kind": "expression", "math_text": "52 / (14 / (-7 / (-94))) * (-907 - (-1))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (/ n (/ n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 14, \"c\": -7, \"d\": -94, \"e\": -907, \"f\": -1}", "seed": "4137178196530300774", "semantic_fingerprint": "sha256:7186b2e1e691365a470e4a2002d8970a992bcd4c0b824e85236d09ee9a1d98c2", "generator_version": "3.0"}
{"id": "v3_val_00004862", "prompt": "Evaluate: 13 / (-255 - 443)", "solution_steps": ["Subtract: -255 - 443 = -698", "Divide: 13 / (-698) = -13/698"], "final_answer": "-13/698", "answer_type": "rational", "kind": "expression", "math_text": "13 / (-255 - 443)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -255, \"c\": 443}", "seed": "2937429053183970035", "semantic_fingerprint": "sha256:69b9ccb9cdee1698af3a6c28fd648338c31c0faf48ca9948defb1e0d46066f1d", "generator_version": "3.0"}
{"id": "v3_val_00004863", "prompt": "Calculate: -7 / (-1)", "solution_steps": ["Divide: -7 / (-1) = 7"], "final_answer": "7", "answer_type": "integer", "kind": "expression", "math_text": "-7 / (-1)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -1}", "seed": "1215360840149293780", "semantic_fingerprint": "sha256:67d9cd8db24f668bcda569c2d68b3418001052f1d0b5675a548d42b285549137", "generator_version": "3.0"}
{"id": "v3_val_00004864", "prompt": "Solve for x: x + 701 = 3x + 709", "solution_steps": ["Subtract 3x from both sides: -2x + 701 = 709", "Subtract 701 from both sides: -2x = 8", "Divide both sides by -2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 701 = 3x + 709", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 701, \"b\": 3, \"d\": 709, \"x\": -4}", "seed": "18236253152951650868", "semantic_fingerprint": "sha256:b93d758be58c69bab5402b3b258e255b18a522b324064c6f548485cc24e88648", "generator_version": "3.0"}
{"id": "v3_val_00004865", "prompt": "What value of x satisfies 2x + 3 = -3x + 8?", "solution_steps": ["Add 3x to both sides: 5x + 3 = 8", "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": "2x + 3 = -3x + 8", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": -3, \"d\": 8}", "seed": "7906930622832284099", "semantic_fingerprint": "sha256:9d07087d6b87eafdd5e2ccc96a7780412ecaa61dd3a53faf9e6822ff162c3837", "generator_version": "3.0"}
{"id": "v3_val_00004866", "prompt": "Calculate: -163 + (-43) * (-52)", "solution_steps": ["Multiply: -43 * (-52) = 2236", "Add: -163 + 2236 = 2073"], "final_answer": "2073", "answer_type": "integer", "kind": "expression", "math_text": "-163 + (-43) * (-52)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -163, \"b\": -43, \"c\": -52}", "seed": "6605664269470481368", "semantic_fingerprint": "sha256:a4c53cbd70a9c292191548fd80efa27cf3e037d19d87a6b62fdf9f89ab59f46b", "generator_version": "3.0"}
{"id": "v3_val_00004867", "prompt": "Find x: 10(x + 9) - 210 = 8(x - 11)", "solution_steps": ["Expand: 10x + 90 - 210 = 8(x - 11)", "Expand: 10x + 90 - 210 = 8x - 88", "Combine constants: 10x - 120 = 8x - 88", "Subtract 8x from both sides: 2x - 120 = -88", "Add 120 to both sides: 2x = 32", "Divide both sides by 2: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 9) - 210 = 8(x - 11)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 8, \"d\": 11, \"f\": -210, \"x\": 16}", "seed": "8941219100305849011", "semantic_fingerprint": "sha256:7222794338b22ead7974d53be78d020f26262332bc7feca9ac4e4862711d5ba2", "generator_version": "3.0"}
{"id": "v3_val_00004868", "prompt": "Calculate: -753 / (-60 * 72)", "solution_steps": ["Multiply: -60 * 72 = -4320", "Divide: -753 / (-4320) = 251/1440"], "final_answer": "251/1440", "answer_type": "rational", "kind": "expression", "math_text": "-753 / (-60 * 72)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -753, \"b\": -60, \"c\": 72}", "seed": "7260009314692676672", "semantic_fingerprint": "sha256:85b3b1cfd03c2901d7de80e21c075cb786a47da4d99b8fa55ea50a3cbf8320ad", "generator_version": "3.0"}
{"id": "v3_val_00004869", "prompt": "Find x: x - 57 = 2x - 38", "solution_steps": ["Subtract 2x from both sides: -x - 57 = -38", "Add 57 to both sides: -x = 19", "Divide both sides by -1: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 57 = 2x - 38", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 2, \"d\": -38, \"x\": -19}", "seed": "6575794136271090787", "semantic_fingerprint": "sha256:5e3cb08fd34dc97bf7f8fe30ac5c0ce499f3d4fed4a001cdaa46dacbf0059806", "generator_version": "3.0"}
{"id": "v3_val_00004870", "prompt": "Solve the equation 7(x - 36) + 31 = 9(x - 38) + 135 for x.", "solution_steps": ["Expand: 7x - 252 + 31 = 9(x - 38) + 135", "Expand: 7x - 252 + 31 = 9x - 342 + 135", "Combine constants: 7x - 221 = 9x - 342 + 135", "Combine constants: 7x - 221 = 9x - 207", "Subtract 9x from both sides: -2x - 221 = -207", "Add 221 to both sides: -2x = 14", "Divide both sides by -2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 36) + 31 = 9(x - 38) + 135", "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\": 31, \"d\": 9, \"e\": 38, \"g\": 135, \"x\": -7}", "seed": "13451631540575164355", "semantic_fingerprint": "sha256:df5a1d64723d7532c5e1c663848e8a3fb3b217050f5e6699477ba70bae12af58", "generator_version": "3.0"}
{"id": "v3_val_00004871", "prompt": "Compute: (-47 + 177 / 84) * (0 / 20)", "solution_steps": ["Divide: 177 / 84 = 59/28", "Add: -47 + 59/28 = -1257/28", "Divide: 0 / 20 = 0", "Multiply: (-1257/28) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-47 + 177 / 84) * (0 / 20)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 177, \"c\": 84, \"d\": 0, \"e\": 20}", "seed": "1753538564685227443", "semantic_fingerprint": "sha256:784b797095ba0d378b85a2438f480d90cf5c296f3dd010ef408ab3686f657b5b", "generator_version": "3.0"}
{"id": "v3_val_00004872", "prompt": "What is 245 * (-8 + 41)?", "solution_steps": ["Add: -8 + 41 = 33", "Multiply: 245 * 33 = 8085"], "final_answer": "8085", "answer_type": "integer", "kind": "expression", "math_text": "245 * (-8 + 41)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 245, \"b\": -8, \"c\": 41}", "seed": "2563356077414686080", "semantic_fingerprint": "sha256:6c418a1e2368b8415ec8b8771a6db1d1dcc183b6aae00ef05e1d46aa53690922", "generator_version": "3.0"}
{"id": "v3_val_00004873", "prompt": "Compute: (-1 + 96) * (-5 * (-36))", "solution_steps": ["Add: -1 + 96 = 95", "Multiply: -5 * (-36) = 180", "Multiply: 95 * 180 = 17100"], "final_answer": "17100", "answer_type": "integer", "kind": "expression", "math_text": "(-1 + 96) * (-5 * (-36))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 96, \"c\": -5, \"d\": -36}", "seed": "13663621763166273732", "semantic_fingerprint": "sha256:3fbc16e75bfc56ae9f718148e8722eca908bda9fcb525917fe96b01339faae93", "generator_version": "3.0"}
{"id": "v3_val_00004874", "prompt": "What is -43 - 72 / (-593)?", "solution_steps": ["Divide: 72 / (-593) = -72/593", "Subtract: -43 - (-72/593) = -25427/593"], "final_answer": "-25427/593", "answer_type": "rational", "kind": "expression", "math_text": "-43 - 72 / (-593)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 72, \"c\": -593}", "seed": "10152077032224211348", "semantic_fingerprint": "sha256:673d6888d20d3e02e4c30c0a42ab4d884bf948dd90494b59a4a0436103760484", "generator_version": "3.0"}
{"id": "v3_val_00004875", "prompt": "Solve the equation -2(x - 10) = 5(x - 34) + 8 for x.", "solution_steps": ["Expand: -2x + 20 = 5(x - 34) + 8", "Expand: -2x + 20 = 5x - 170 + 8", "Combine constants: -2x + 20 = 5x - 162", "Subtract 5x from both sides: -7x + 20 = -162", "Subtract 20 from both sides: -7x = -182", "Divide both sides by -7: x = 26"], "final_answer": "26", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 10) = 5(x - 34) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 10, \"c\": 5, \"d\": 34, \"e\": 8}", "seed": "11756150830884934046", "semantic_fingerprint": "sha256:73e80b5d9c1f1edb1cdf4c28c14834f4bc7012a53f35ccccc8c88e6755566a3e", "generator_version": "3.0"}
{"id": "v3_val_00004876", "prompt": "Calculate: 888 + 87", "solution_steps": ["Add: 888 + 87 = 975"], "final_answer": "975", "answer_type": "integer", "kind": "expression", "math_text": "888 + 87", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 888, \"b\": 87}", "seed": "12477511995642965257", "semantic_fingerprint": "sha256:ef768bf777f209243a173ec287aae1dd2cafaf7461227604f00f60f6133a7764", "generator_version": "3.0"}
{"id": "v3_val_00004877", "prompt": "Evaluate: 99 * (-675) + (-822)", "solution_steps": ["Multiply: 99 * (-675) = -66825", "Add: -66825 + (-822) = -67647"], "final_answer": "-67647", "answer_type": "integer", "kind": "expression", "math_text": "99 * (-675) + (-822)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -675, \"c\": -822}", "seed": "6058194344727824531", "semantic_fingerprint": "sha256:abc4356d72c1434cb28b18f3406f69c1ccf39d00dc31cc0d8cffad686e340fc0", "generator_version": "3.0"}
{"id": "v3_val_00004878", "prompt": "Evaluate: -86 / (1 + (-29))", "solution_steps": ["Add: 1 + (-29) = -28", "Divide: -86 / (-28) = 43/14"], "final_answer": "43/14", "answer_type": "rational", "kind": "expression", "math_text": "-86 / (1 + (-29))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 1, \"c\": -29}", "seed": "8355736384124723178", "semantic_fingerprint": "sha256:25607e52083f3c31afeaa8ecd11e74b1e118d9043626e4d0002c315de025d19e", "generator_version": "3.0"}
{"id": "v3_val_00004879", "prompt": "What is -94 * (0 / (-40) * (-26)) * (-4 + 600)?", "solution_steps": ["Divide: 0 / (-40) = 0", "Multiply: 0 * (-26) = 0", "Multiply: -94 * 0 = 0", "Add: -4 + 600 = 596", "Multiply: 0 * 596 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-94 * (0 / (-40) * (-26)) * (-4 + 600)", "variable": null, "family": "expression_5op", "shape": "(* (* n (* (/ n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 0, \"c\": -40, \"d\": -26, \"e\": -4, \"f\": 600}", "seed": "6219992912989083521", "semantic_fingerprint": "sha256:782dbe55a91f07162cd8e0da199a49d56838724697a46dc58c3ef41b9c055d27", "generator_version": "3.0"}
{"id": "v3_val_00004880", "prompt": "Evaluate: (-42 - (-2)) * 85 * (-94 * 1)", "solution_steps": ["Subtract: -42 - (-2) = -40", "Multiply: -40 * 85 = -3400", "Multiply: -94 * 1 = -94", "Multiply: -3400 * (-94) = 319600"], "final_answer": "319600", "answer_type": "integer", "kind": "expression", "math_text": "(-42 - (-2)) * 85 * (-94 * 1)", "variable": null, "family": "expression_4op", "shape": "(* (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -2, \"c\": 85, \"d\": -94, \"e\": 1}", "seed": "9386450489266035283", "semantic_fingerprint": "sha256:c2530a74addd79b743e2af4cf633a8e2fee5837c7b06177e9ad7a1c0f03ca773", "generator_version": "3.0"}
{"id": "v3_val_00004881", "prompt": "Compute: 2 / 782 - (-743)", "solution_steps": ["Divide: 2 / 782 = 1/391", "Subtract: 1/391 - (-743) = 290514/391"], "final_answer": "290514/391", "answer_type": "rational", "kind": "expression", "math_text": "2 / 782 - (-743)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 782, \"c\": -743}", "seed": "12952618191580145737", "semantic_fingerprint": "sha256:a3887688eb88fbcfff8b8839394f65dc25424048a88eea856b1a523138ebb30b", "generator_version": "3.0"}
{"id": "v3_val_00004882", "prompt": "Compute: 199 * 4", "solution_steps": ["Multiply: 199 * 4 = 796"], "final_answer": "796", "answer_type": "integer", "kind": "expression", "math_text": "199 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 199, \"b\": 4}", "seed": "13229329021248726942", "semantic_fingerprint": "sha256:77fde74d357cdc46a1c0d108dfbd7398a9dfe64f2bd66fc0387ffbc330a95148", "generator_version": "3.0"}
{"id": "v3_val_00004883", "prompt": "Solve the equation -6(x + 3) = -3(x + 36) + 3 for x.", "solution_steps": ["Expand: -6x - 18 = -3(x + 36) + 3", "Expand: -6x - 18 = -3x - 108 + 3", "Combine constants: -6x - 18 = -3x - 105", "Add 3x to both sides: -3x - 18 = -105", "Add 18 to both sides: -3x = -87", "Divide both sides by -3: x = 29"], "final_answer": "29", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 3) = -3(x + 36) + 3", "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\": -3, \"d\": 36, \"e\": 3}", "seed": "2230793137326797510", "semantic_fingerprint": "sha256:dbcc252ec79fa960befdf08ef28a62482340368bdb92998ef631a1def9efb7da", "generator_version": "3.0"}
{"id": "v3_val_00004884", "prompt": "Calculate: (-145 - 18) * (-58) + 597", "solution_steps": ["Subtract: -145 - 18 = -163", "Multiply: -163 * (-58) = 9454", "Add: 9454 + 597 = 10051"], "final_answer": "10051", "answer_type": "integer", "kind": "expression", "math_text": "(-145 - 18) * (-58) + 597", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -145, \"b\": 18, \"c\": -58, \"d\": 597}", "seed": "16961446215369509964", "semantic_fingerprint": "sha256:8ac83b915a1644c4b039707f315e536a78396c0364d1f075bfd57742457fd66d", "generator_version": "3.0"}
{"id": "v3_val_00004885", "prompt": "Solve for x: 5x = 9(x + 33)", "solution_steps": ["Expand: 5x = 9x + 297", "Subtract 9x from both sides: -4x = 297", "Divide both sides by -4: x = -297/4"], "final_answer": "-297/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = 9(x + 33)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 33}", "seed": "3355286572554446644", "semantic_fingerprint": "sha256:a26eb1f01a5075f95fb3e39538dca63b342878c136bd0d32cbd3064a68232b88", "generator_version": "3.0"}
{"id": "v3_val_00004886", "prompt": "Calculate: 3 * (849 - (-19))", "solution_steps": ["Subtract: 849 - (-19) = 868", "Multiply: 3 * 868 = 2604"], "final_answer": "2604", "answer_type": "integer", "kind": "expression", "math_text": "3 * (849 - (-19))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 849, \"c\": -19}", "seed": "6425291890112595970", "semantic_fingerprint": "sha256:db7fd285cf52640bfe68ed92c33cb1dc37bca882a15c67914b47c8da82f7eca7", "generator_version": "3.0"}
{"id": "v3_val_00004887", "prompt": "Compute: 8 + (-68) - 249", "solution_steps": ["Add: 8 + (-68) = -60", "Subtract: -60 - 249 = -309"], "final_answer": "-309", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-68) - 249", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -68, \"c\": 249}", "seed": "16360389766641895410", "semantic_fingerprint": "sha256:ffb26e15723c5b599d90a2a3be39ddde12275bb6890cb4209f488afc9d3cde5c", "generator_version": "3.0"}
{"id": "v3_val_00004888", "prompt": "Evaluate: 9 - (-2 + 2)", "solution_steps": ["Add: -2 + 2 = 0", "Subtract: 9 - 0 = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-2 + 2)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -2, \"c\": 2}", "seed": "7442312387467641486", "semantic_fingerprint": "sha256:96c10ef15d75ff35980ac6fbadec68e378b391ea59ca4d11f11a4d9260a0e20e", "generator_version": "3.0"}
{"id": "v3_val_00004889", "prompt": "Evaluate: -6 * (-731)", "solution_steps": ["Multiply: -6 * (-731) = 4386"], "final_answer": "4386", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-731)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -731}", "seed": "13933013755090653909", "semantic_fingerprint": "sha256:05ca834979fa6c3ffd210c55ad737d35434b3b9d01f42b3a3322f0ffd2902607", "generator_version": "3.0"}
{"id": "v3_val_00004890", "prompt": "What value of x satisfies 10(x + 2) - 85 = 12(x + 728) - 8?", "solution_steps": ["Expand: 10x + 20 - 85 = 12(x + 728) - 8", "Expand: 10x + 20 - 85 = 12x + 8736 - 8", "Combine constants: 10x - 65 = 12x + 8736 - 8", "Combine constants: 10x - 65 = 12x + 8728", "Subtract 12x from both sides: -2x - 65 = 8728", "Add 65 to both sides: -2x = 8793", "Divide both sides by -2: x = -8793/2"], "final_answer": "-8793/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 2) - 85 = 12(x + 728) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 85, \"d\": 12, \"e\": 728, \"f\": 8}", "seed": "4588200600382637355", "semantic_fingerprint": "sha256:058dcdfb1a88db66a3957e231c18caefcd45a9215d23fa27910eead812053cf4", "generator_version": "3.0"}
{"id": "v3_val_00004891", "prompt": "Find x: x + 75 = 6x + 120", "solution_steps": ["Subtract 6x from both sides: -5x + 75 = 120", "Subtract 75 from both sides: -5x = 45", "Divide both sides by -5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 75 = 6x + 120", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 6, \"d\": 120, \"x\": -9}", "seed": "2100168908700449471", "semantic_fingerprint": "sha256:57f49b1746ad0fbded318327ff62045298d49a5204ec8f6bad790ed9fe88a510", "generator_version": "3.0"}
{"id": "v3_val_00004892", "prompt": "Solve the equation 9(x + 5) - 39 = 10(x + 500) + 142 for x.", "solution_steps": ["Expand: 9x + 45 - 39 = 10(x + 500) + 142", "Expand: 9x + 45 - 39 = 10x + 5000 + 142", "Combine constants: 9x + 6 = 10x + 5000 + 142", "Combine constants: 9x + 6 = 10x + 5142", "Subtract 10x from both sides: -x + 6 = 5142", "Subtract 6 from both sides: -x = 5136", "Divide both sides by -1: x = -5136"], "final_answer": "-5136", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) - 39 = 10(x + 500) + 142", "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\": 39, \"d\": 10, \"e\": 500, \"f\": 142}", "seed": "13986432133639914414", "semantic_fingerprint": "sha256:333629af9d260beab68872af5a13666036e1590c7f0c33d972fc46839dbcc6d3", "generator_version": "3.0"}
{"id": "v3_val_00004893", "prompt": "Evaluate: -842 - (-277) * (-76)", "solution_steps": ["Multiply: -277 * (-76) = 21052", "Subtract: -842 - 21052 = -21894"], "final_answer": "-21894", "answer_type": "integer", "kind": "expression", "math_text": "-842 - (-277) * (-76)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -842, \"b\": -277, \"c\": -76}", "seed": "10095684917878050248", "semantic_fingerprint": "sha256:fa44abd8d396f54e81ccb7eea7d5ada72052c57d32a575ebefc8a5f2bacfd4d5", "generator_version": "3.0"}
{"id": "v3_val_00004894", "prompt": "Evaluate: 56 / (942 / (-57)) - (-63 + 7)", "solution_steps": ["Divide: 942 / (-57) = -314/19", "Divide: 56 / (-314/19) = -532/157", "Add: -63 + 7 = -56", "Subtract: -532/157 - (-56) = 8260/157"], "final_answer": "8260/157", "answer_type": "rational", "kind": "expression", "math_text": "56 / (942 / (-57)) - (-63 + 7)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 942, \"c\": -57, \"d\": -63, \"e\": 7}", "seed": "2379361337995994008", "semantic_fingerprint": "sha256:2c954c618930df1a47dc6785251b6cdfe0d1adde81bfa00b9e1480e27e273ca8", "generator_version": "3.0"}
{"id": "v3_val_00004895", "prompt": "Find x: x - 501 = 12(x + 679)", "solution_steps": ["Expand: x - 501 = 12x + 8148", "Subtract 12x from both sides: -11x - 501 = 8148", "Add 501 to both sides: -11x = 8649", "Divide both sides by -11: x = -8649/11"], "final_answer": "-8649/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 501 = 12(x + 679)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 501, \"b\": 12, \"c\": 679}", "seed": "7028613405029331243", "semantic_fingerprint": "sha256:2ba21d2d5b7d3c1914e25ebccb7b97cb72f2c9048ffe3a9575bdc75f4eb7005f", "generator_version": "3.0"}
{"id": "v3_val_00004896", "prompt": "What value of x satisfies x = 11(x + 73)?", "solution_steps": ["Expand: x = 11x + 803", "Subtract 11x from both sides: -10x = 803", "Divide both sides by -10: x = -803/10"], "final_answer": "-803/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11(x + 73)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 73}", "seed": "2877582875707656765", "semantic_fingerprint": "sha256:7d553785a3856ef39be706a94544cc81a5c747b89121c98d4bcccf7c03cc4272", "generator_version": "3.0"}
{"id": "v3_val_00004897", "prompt": "Evaluate: 2 + (-29) - (-59) - 31", "solution_steps": ["Add: 2 + (-29) = -27", "Subtract: -27 - (-59) = 32", "Subtract: 32 - 31 = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-29) - (-59) - 31", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -29, \"c\": -59, \"d\": 31}", "seed": "4325318641246872152", "semantic_fingerprint": "sha256:681c994122f7ac1d1c491ea5bd29eb0559caafe5b0b7ba3b67e8046e0c4aa0ce", "generator_version": "3.0"}
{"id": "v3_val_00004898", "prompt": "Solve for x: -12x = 12", "solution_steps": ["Divide both sides by -12: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = 12", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"c\": 12, \"x\": -1}", "seed": "11466220368007799703", "semantic_fingerprint": "sha256:6372d4842be9af7e23ae7190074a8fd4464b9230cefd5ec937a90b66c14e6111", "generator_version": "3.0"}
{"id": "v3_val_00004899", "prompt": "What is 19 + (8 + (-33)) * (-9)?", "solution_steps": ["Add: 8 + (-33) = -25", "Multiply: -25 * (-9) = 225", "Add: 19 + 225 = 244"], "final_answer": "244", "answer_type": "integer", "kind": "expression", "math_text": "19 + (8 + (-33)) * (-9)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 8, \"c\": -33, \"d\": -9}", "seed": "13613531411067189259", "semantic_fingerprint": "sha256:cafd8d31f6731a658d692fc7f449fc365aae3a459a252aaa38ab5e6be8c4f59b", "generator_version": "3.0"}
{"id": "v3_val_00004900", "prompt": "Calculate: -927 - 51 - 90", "solution_steps": ["Subtract: -927 - 51 = -978", "Subtract: -978 - 90 = -1068"], "final_answer": "-1068", "answer_type": "integer", "kind": "expression", "math_text": "-927 - 51 - 90", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -927, \"b\": 51, \"c\": 90}", "seed": "1992768978668370628", "semantic_fingerprint": "sha256:30af9e386ee1363a641e7ab84eba39435dbf0888451d2f4c5257ec1e38b055bd", "generator_version": "3.0"}
{"id": "v3_val_00004901", "prompt": "Solve the equation 7(x - 2) = -10x + 105 for x.", "solution_steps": ["Expand: 7x - 14 = -10x + 105", "Add 10x to both sides: 17x - 14 = 105", "Add 14 to both sides: 17x = 119", "Divide both sides by 17: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 2) = -10x + 105", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": -10, \"e\": 105, \"x\": 7}", "seed": "6972393959912541082", "semantic_fingerprint": "sha256:b5a99cc51546d6173fd041b1c3da023f096cfc9aa279cbbc097f8a2edc119251", "generator_version": "3.0"}
{"id": "v3_val_00004902", "prompt": "Solve for x: 7x = -10(x - 9) - 6", "solution_steps": ["Expand: 7x = -10x + 90 - 6", "Combine constants: 7x = -10x + 84", "Add 10x to both sides: 17x = 84", "Divide both sides by 17: x = 84/17"], "final_answer": "84/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = -10(x - 9) - 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -10, \"c\": 9, \"d\": 6}", "seed": "12858902051898993221", "semantic_fingerprint": "sha256:875d1b03932f1c38686c390d1883b0f1ee07f157bb77d028c577ad2b753f69f2", "generator_version": "3.0"}
{"id": "v3_val_00004903", "prompt": "What value of x satisfies 8(x - 99) + 69 = 2(x - 76) - 33?", "solution_steps": ["Expand: 8x - 792 + 69 = 2(x - 76) - 33", "Expand: 8x - 792 + 69 = 2x - 152 - 33", "Combine constants: 8x - 723 = 2x - 152 - 33", "Combine constants: 8x - 723 = 2x - 185", "Subtract 2x from both sides: 6x - 723 = -185", "Add 723 to both sides: 6x = 538", "Divide both sides by 6: x = 269/3"], "final_answer": "269/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 99) + 69 = 2(x - 76) - 33", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 99, \"c\": 69, \"d\": 2, \"e\": 76, \"f\": 33}", "seed": "5553218459999311384", "semantic_fingerprint": "sha256:a01c929dcbfe37c5e6e1c969eba6ce9fc7c89bb73c73f0bb0ef02788b3a81826", "generator_version": "3.0"}
{"id": "v3_val_00004904", "prompt": "Solve the equation -4(x - 81) = x for x.", "solution_steps": ["Expand: -4x + 324 = x", "Subtract x from both sides: -5x + 324 = 0", "Subtract 324 from both sides: -5x = -324", "Divide both sides by -5: x = 324/5"], "final_answer": "324/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 81) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 81}", "seed": "18399200984501617656", "semantic_fingerprint": "sha256:0f2fc53fe533382cdb80885d36452678bd350030b81c92e260e925cf7013bac2", "generator_version": "3.0"}
{"id": "v3_val_00004905", "prompt": "Calculate: -672 / (-16)", "solution_steps": ["Divide: -672 / (-16) = 42"], "final_answer": "42", "answer_type": "integer", "kind": "expression", "math_text": "-672 / (-16)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -672, \"b\": -16}", "seed": "7321756571165828791", "semantic_fingerprint": "sha256:7d4c0dfe0f3180cd48b5c21293b8c735bb414d66a4c490e91cae3b3b0ee8a9b4", "generator_version": "3.0"}
{"id": "v3_val_00004906", "prompt": "Solve the equation -6(x - 88) = 558 for x.", "solution_steps": ["Expand: -6x + 528 = 558", "Subtract 528 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 - 88) = 558", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 88, \"d\": 558, \"x\": -5}", "seed": "5866966106663651758", "semantic_fingerprint": "sha256:6100e291c032cb170cea3cc7fb29834b5a3d9826f542cc04f0940ded6edac03d", "generator_version": "3.0"}
{"id": "v3_val_00004907", "prompt": "Evaluate: 642 * (9 + (-5) * (-37)) + 75", "solution_steps": ["Multiply: -5 * (-37) = 185", "Add: 9 + 185 = 194", "Multiply: 642 * 194 = 124548", "Add: 124548 + 75 = 124623"], "final_answer": "124623", "answer_type": "integer", "kind": "expression", "math_text": "642 * (9 + (-5) * (-37)) + 75", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 642, \"b\": 9, \"c\": -5, \"d\": -37, \"e\": 75}", "seed": "16321692454318337323", "semantic_fingerprint": "sha256:8bc42cb64c1b6c49abd3f74700737c03c73a7f9b867155186963675b4d953113", "generator_version": "3.0"}
{"id": "v3_val_00004908", "prompt": "What is 72 + (820 - 289)?", "solution_steps": ["Subtract: 820 - 289 = 531", "Add: 72 + 531 = 603"], "final_answer": "603", "answer_type": "integer", "kind": "expression", "math_text": "72 + (820 - 289)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 820, \"c\": 289}", "seed": "8411119308388192934", "semantic_fingerprint": "sha256:fc9ee5f096a2b24a94607538739a05a051bc826481bb9e4fadb65ec9726b8a4f", "generator_version": "3.0"}
{"id": "v3_val_00004909", "prompt": "Solve for x: -5x + 780 = 12x", "solution_steps": ["Subtract 12x from both sides: -17x + 780 = 0", "Subtract 780 from both sides: -17x = -780", "Divide both sides by -17: x = 780/17"], "final_answer": "780/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x + 780 = 12x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 780, \"c\": 12}", "seed": "17952535749832810017", "semantic_fingerprint": "sha256:bda1736b5449bb3477009dd782ded18f6a28bd8a650188c2e5e78248ac1735da", "generator_version": "3.0"}
{"id": "v3_val_00004910", "prompt": "Find x: 4x = 2(x - 5) + 7", "solution_steps": ["Expand: 4x = 2x - 10 + 7", "Combine constants: 4x = 2x - 3", "Subtract 2x 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": "4x = 2(x - 5) + 7", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 5, \"d\": 7}", "seed": "15266215328922713512", "semantic_fingerprint": "sha256:d4a22a8ec7a08864bb331cb24b563e3b3c1f60c224ac0f8aaeb840158835f089", "generator_version": "3.0"}
{"id": "v3_val_00004911", "prompt": "Calculate: -53 / (-8 - 3) - 0", "solution_steps": ["Subtract: -8 - 3 = -11", "Divide: -53 / (-11) = 53/11", "Subtract: 53/11 - 0 = 53/11"], "final_answer": "53/11", "answer_type": "rational", "kind": "expression", "math_text": "-53 / (-8 - 3) - 0", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -8, \"c\": 3, \"d\": 0}", "seed": "18275693190397261321", "semantic_fingerprint": "sha256:654f1f52fbca347648af4fb440e0ca9a0d8644f7808ac30d63111d22dccfa5a5", "generator_version": "3.0"}
{"id": "v3_val_00004912", "prompt": "Solve for x: -8(x + 9) = x + 9", "solution_steps": ["Expand: -8x - 72 = x + 9", "Subtract x from both sides: -9x - 72 = 9", "Add 72 to both sides: -9x = 81", "Divide both sides by -9: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 9) = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"d\": 9, \"x\": -9}", "seed": "13536776568179934723", "semantic_fingerprint": "sha256:bdc8e1f99d8feeefc59df768334db9ff46e433a187f1392f4962752ac4d48b3a", "generator_version": "3.0"}
{"id": "v3_val_00004913", "prompt": "What is -10 + (227 - (-89))?", "solution_steps": ["Subtract: 227 - (-89) = 316", "Add: -10 + 316 = 306"], "final_answer": "306", "answer_type": "integer", "kind": "expression", "math_text": "-10 + (227 - (-89))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 227, \"c\": -89}", "seed": "14769042925203242211", "semantic_fingerprint": "sha256:d54b8190f8e3f164f52dd374850f0b66b91f26ac5269ef9724024b86e462246a", "generator_version": "3.0"}
{"id": "v3_val_00004914", "prompt": "Compute: 15 - (-15 + (-62))", "solution_steps": ["Add: -15 + (-62) = -77", "Subtract: 15 - (-77) = 92"], "final_answer": "92", "answer_type": "integer", "kind": "expression", "math_text": "15 - (-15 + (-62))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -15, \"c\": -62}", "seed": "4537336904783736969", "semantic_fingerprint": "sha256:73132784480a8b645bc410de836cfb796af502e7857f28b7ebf5f291116ad6bb", "generator_version": "3.0"}
{"id": "v3_val_00004915", "prompt": "Compute: 1 * (-675)", "solution_steps": ["Multiply: 1 * (-675) = -675"], "final_answer": "-675", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-675)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -675}", "seed": "8453805730398197666", "semantic_fingerprint": "sha256:212800ddfe2a54ba1f91338e36445e0d3621c7e8ef8b70f2cef74ed80e75a1fa", "generator_version": "3.0"}
{"id": "v3_val_00004916", "prompt": "Solve for x: -6(x + 1) - 33 = -12(x + 13) - 22", "solution_steps": ["Expand: -6x - 6 - 33 = -12(x + 13) - 22", "Expand: -6x - 6 - 33 = -12x - 156 - 22", "Combine constants: -6x - 39 = -12x - 156 - 22", "Combine constants: -6x - 39 = -12x - 178", "Add 12x to both sides: 6x - 39 = -178", "Add 39 to both sides: 6x = -139", "Divide both sides by 6: x = -139/6"], "final_answer": "-139/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 1) - 33 = -12(x + 13) - 22", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 1, \"c\": 33, \"d\": -12, \"e\": 13, \"f\": 22}", "seed": "6052196798761585701", "semantic_fingerprint": "sha256:fd61dd8179c6c630b501ed65d8b156c525724e7062dcf64e6d12c4edd498fd9e", "generator_version": "3.0"}
{"id": "v3_val_00004917", "prompt": "What value of x satisfies 12x - 60 = -216?", "solution_steps": ["Add 60 to both sides: 12x = -156", "Divide both sides by 12: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 60 = -216", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 60, \"d\": -216, \"x\": -13}", "seed": "5442280770773267708", "semantic_fingerprint": "sha256:10d69b3b24b3215f067fbb2b4b66b870603c32a12cf0ff1aa37fd1f4ee1a691a", "generator_version": "3.0"}
{"id": "v3_val_00004918", "prompt": "Find x: -5(x - 4) - 86 = 2(x + 2)", "solution_steps": ["Expand: -5x + 20 - 86 = 2(x + 2)", "Expand: -5x + 20 - 86 = 2x + 4", "Combine constants: -5x - 66 = 2x + 4", "Subtract 2x from both sides: -7x - 66 = 4", "Add 66 to both sides: -7x = 70", "Divide both sides by -7: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 4) - 86 = 2(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 2, \"d\": 2, \"f\": -86, \"x\": -10}", "seed": "3126178139637200797", "semantic_fingerprint": "sha256:b1b2d4a517feaee017c4d3476cfe7e108ff5dd3dde837182ba48a154bb8cbd75", "generator_version": "3.0"}
{"id": "v3_val_00004919", "prompt": "Solve the equation 8(x + 44) - 48 = 4x + 5 for x.", "solution_steps": ["Expand: 8x + 352 - 48 = 4x + 5", "Combine constants: 8x + 304 = 4x + 5", "Subtract 4x from both sides: 4x + 304 = 5", "Subtract 304 from both sides: 4x = -299", "Divide both sides by 4: x = -299/4"], "final_answer": "-299/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 44) - 48 = 4x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 44, \"c\": 48, \"d\": 4, \"e\": 5}", "seed": "13453609591718465548", "semantic_fingerprint": "sha256:f953fc783028875c360361979cd19a75b6dd25e42bc833da09133048d666355f", "generator_version": "3.0"}
{"id": "v3_val_00004920", "prompt": "Solve the equation x = 9x + 24 for x.", "solution_steps": ["Subtract 9x from both sides: -8x = 24", "Divide both sides by -8: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9x + 24", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 24, \"x\": -3}", "seed": "7957082294180565682", "semantic_fingerprint": "sha256:e544d73f2920c95ab4048fc3f0289e687cf287e3d7bd8a53b801b82dacc3d294", "generator_version": "3.0"}
{"id": "v3_val_00004921", "prompt": "Compute: 8 * 0 + 257", "solution_steps": ["Multiply: 8 * 0 = 0", "Add: 0 + 257 = 257"], "final_answer": "257", "answer_type": "integer", "kind": "expression", "math_text": "8 * 0 + 257", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 0, \"c\": 257}", "seed": "13255176306316932856", "semantic_fingerprint": "sha256:1c0d8873d95ff080398501664f4239d7a604a4dbd40c277fa44fedaa871edf90", "generator_version": "3.0"}
{"id": "v3_val_00004922", "prompt": "Evaluate: -49 / (92 / 44) / 9", "solution_steps": ["Divide: 92 / 44 = 23/11", "Divide: -49 / (23/11) = -539/23", "Divide: (-539/23) / 9 = -539/207"], "final_answer": "-539/207", "answer_type": "rational", "kind": "expression", "math_text": "-49 / (92 / 44) / 9", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 92, \"c\": 44, \"d\": 9}", "seed": "1973166167066564394", "semantic_fingerprint": "sha256:b298c4c0927ba42a88f9f864c4922a6d6df2c8617e844d38854d658801873069", "generator_version": "3.0"}
{"id": "v3_val_00004923", "prompt": "Compute: -75 / (-2 - 72)", "solution_steps": ["Subtract: -2 - 72 = -74", "Divide: -75 / (-74) = 75/74"], "final_answer": "75/74", "answer_type": "rational", "kind": "expression", "math_text": "-75 / (-2 - 72)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -2, \"c\": 72}", "seed": "6757816773532404389", "semantic_fingerprint": "sha256:1ce0e55577847561bb8fa6cb3c4cfb7a1b2f5aed1e3ceceed28e9e09e93a313c", "generator_version": "3.0"}
{"id": "v3_val_00004924", "prompt": "Find x: 3x = x + 26", "solution_steps": ["Subtract x from both sides: 2x = 26", "Divide both sides by 2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = x + 26", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": 26, \"x\": 13}", "seed": "9785744748819842251", "semantic_fingerprint": "sha256:53db75e71e2f0fddd3749ab18e7bea8330db7e207471b03c491f95e8743d69fd", "generator_version": "3.0"}
{"id": "v3_val_00004925", "prompt": "Calculate: (0 + (-716)) * (-40)", "solution_steps": ["Add: 0 + (-716) = -716", "Multiply: -716 * (-40) = 28640"], "final_answer": "28640", "answer_type": "integer", "kind": "expression", "math_text": "(0 + (-716)) * (-40)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -716, \"c\": -40}", "seed": "11871714539362274335", "semantic_fingerprint": "sha256:86b1145d7db84ae81ec2886ef7b4716a3b5c5dc5eda11c42b711d42ab5de6703", "generator_version": "3.0"}
{"id": "v3_val_00004926", "prompt": "Find x: 3(x - 479) = 11x", "solution_steps": ["Expand: 3x - 1437 = 11x", "Subtract 11x from both sides: -8x - 1437 = 0", "Add 1437 to both sides: -8x = 1437", "Divide both sides by -8: x = -1437/8"], "final_answer": "-1437/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 479) = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 479, \"c\": 11}", "seed": "6104357632542574184", "semantic_fingerprint": "sha256:f92f6425dbdaf586ba80f4c393aa8993b31f98b72d8639b8756e4e251e76a555", "generator_version": "3.0"}
{"id": "v3_val_00004927", "prompt": "What is (-382 - 42) * 0?", "solution_steps": ["Subtract: -382 - 42 = -424", "Multiply: -424 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-382 - 42) * 0", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -382, \"b\": 42, \"c\": 0}", "seed": "11221338009729256636", "semantic_fingerprint": "sha256:5b42872bd4e9a7e96e0d0a9b59ca64f8c652a68b15abfbabb797406f232273d7", "generator_version": "3.0"}
{"id": "v3_val_00004928", "prompt": "Solve the equation 10x + 773 = 12(x - 29) for x.", "solution_steps": ["Expand: 10x + 773 = 12x - 348", "Subtract 12x from both sides: -2x + 773 = -348", "Subtract 773 from both sides: -2x = -1121", "Divide both sides by -2: x = 1121/2"], "final_answer": "1121/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x + 773 = 12(x - 29)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 773, \"c\": 12, \"d\": 29}", "seed": "12395615028621803280", "semantic_fingerprint": "sha256:ab50dc0378115d11f7addfd42bd969cd5db2630ec7d9fb98986184b711b3dd8f", "generator_version": "3.0"}
{"id": "v3_val_00004929", "prompt": "Evaluate: -18 + 136 * (-237)", "solution_steps": ["Multiply: 136 * (-237) = -32232", "Add: -18 + (-32232) = -32250"], "final_answer": "-32250", "answer_type": "integer", "kind": "expression", "math_text": "-18 + 136 * (-237)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 136, \"c\": -237}", "seed": "4786685560927037356", "semantic_fingerprint": "sha256:c536b1204a9971d813d2eb09a479714ef03b1a1f741d01c4a772b7143feab091", "generator_version": "3.0"}
{"id": "v3_val_00004930", "prompt": "What value of x satisfies 5(x - 4) + 9 = x + 337?", "solution_steps": ["Expand: 5x - 20 + 9 = x + 337", "Combine constants: 5x - 11 = x + 337", "Subtract x from both sides: 4x - 11 = 337", "Add 11 to both sides: 4x = 348", "Divide both sides by 4: x = 87"], "final_answer": "87", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 4) + 9 = x + 337", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 9, \"d\": 337}", "seed": "14369525301483813113", "semantic_fingerprint": "sha256:2110a0553a762498863ce2cebcb0a6e596bba3452e622f0cfbffd7ea7f51f235", "generator_version": "3.0"}
{"id": "v3_val_00004931", "prompt": "What is 8 / (-3) * (-72)?", "solution_steps": ["Divide: 8 / (-3) = -8/3", "Multiply: (-8/3) * (-72) = 192"], "final_answer": "192", "answer_type": "integer", "kind": "expression", "math_text": "8 / (-3) * (-72)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -3, \"c\": -72}", "seed": "7018011121236918402", "semantic_fingerprint": "sha256:66db3431e9600c2e3c3aefc34a29635ea3fcbfee5587770c93cc222ee89fc573", "generator_version": "3.0"}
{"id": "v3_val_00004932", "prompt": "Solve for x: 9x - 5 = 8x + 12", "solution_steps": ["Subtract 8x from both sides: x - 5 = 12", "Add 5 to both sides: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 5 = 8x + 12", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 8, \"e\": 12, \"x\": 17}", "seed": "13954063047230708238", "semantic_fingerprint": "sha256:b0c1098a29bc9476297a4fe59aaa276dcf19119c6425005e37cf3ee542f16ba6", "generator_version": "3.0"}
{"id": "v3_val_00004933", "prompt": "Evaluate: -920 - (-7) - (22 + 60)", "solution_steps": ["Subtract: -920 - (-7) = -913", "Add: 22 + 60 = 82", "Subtract: -913 - 82 = -995"], "final_answer": "-995", "answer_type": "integer", "kind": "expression", "math_text": "-920 - (-7) - (22 + 60)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -920, \"b\": -7, \"c\": 22, \"d\": 60}", "seed": "5460892110119441639", "semantic_fingerprint": "sha256:d01dda021381d2249b572797fb62a917d338058de60145fad7388af8b58b8387", "generator_version": "3.0"}
{"id": "v3_val_00004934", "prompt": "What is 5 + (-189 + (-2))?", "solution_steps": ["Add: -189 + (-2) = -191", "Add: 5 + (-191) = -186"], "final_answer": "-186", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-189 + (-2))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -189, \"c\": -2}", "seed": "9174813237998930014", "semantic_fingerprint": "sha256:06a82053e691b8c9a15419505193610b94b2d151d7c31e144215f35a384da0eb", "generator_version": "3.0"}
{"id": "v3_val_00004935", "prompt": "Evaluate: 4 / (-9) + 47", "solution_steps": ["Divide: 4 / (-9) = -4/9", "Add: -4/9 + 47 = 419/9"], "final_answer": "419/9", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-9) + 47", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -9, \"c\": 47}", "seed": "7402670385331730324", "semantic_fingerprint": "sha256:841114b34cc61bcabcf9c4f8560710a5a9270d433b6a889887449d72c61bbc0d", "generator_version": "3.0"}
{"id": "v3_val_00004936", "prompt": "Compute: 62 + 88 / (-7)", "solution_steps": ["Divide: 88 / (-7) = -88/7", "Add: 62 + (-88/7) = 346/7"], "final_answer": "346/7", "answer_type": "rational", "kind": "expression", "math_text": "62 + 88 / (-7)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 88, \"c\": -7}", "seed": "15796171511525350393", "semantic_fingerprint": "sha256:4d804d111e652633a50045174f1e8eb938c1b1173a74e7e19c772afda718e462", "generator_version": "3.0"}
{"id": "v3_val_00004937", "prompt": "Calculate: 727 - 767 + 2 / (-19)", "solution_steps": ["Subtract: 727 - 767 = -40", "Divide: 2 / (-19) = -2/19", "Add: -40 + (-2/19) = -762/19"], "final_answer": "-762/19", "answer_type": "rational", "kind": "expression", "math_text": "727 - 767 + 2 / (-19)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 727, \"b\": 767, \"c\": 2, \"d\": -19}", "seed": "5203811514544994617", "semantic_fingerprint": "sha256:9d6e8589ef6e3585700fbfb7d2ad1a36c6e00fd70be319425150b0ef9ffc15bc", "generator_version": "3.0"}
{"id": "v3_val_00004938", "prompt": "What is -554 / 823 + (-33)?", "solution_steps": ["Divide: -554 / 823 = -554/823", "Add: -554/823 + (-33) = -27713/823"], "final_answer": "-27713/823", "answer_type": "rational", "kind": "expression", "math_text": "-554 / 823 + (-33)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -554, \"b\": 823, \"c\": -33}", "seed": "13986881107615998827", "semantic_fingerprint": "sha256:41817a658eaf68dcc07f417b6d9f2861195b94ae40d544b093f31de2949cf94d", "generator_version": "3.0"}
{"id": "v3_val_00004939", "prompt": "Calculate: 331 - (-8) - (-20) - (-212)", "solution_steps": ["Subtract: 331 - (-8) = 339", "Subtract: 339 - (-20) = 359", "Subtract: 359 - (-212) = 571"], "final_answer": "571", "answer_type": "integer", "kind": "expression", "math_text": "331 - (-8) - (-20) - (-212)", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 331, \"b\": -8, \"c\": -20, \"d\": -212}", "seed": "8615598347166174686", "semantic_fingerprint": "sha256:47c18bb5af963c37d79b9ccad3f4d11ced58e56a2207927f7b4d247417b7da95", "generator_version": "3.0"}
{"id": "v3_val_00004940", "prompt": "Calculate: 444 * (-41) / (-809) - (-1 - 554)", "solution_steps": ["Multiply: 444 * (-41) = -18204", "Divide: -18204 / (-809) = 18204/809", "Subtract: -1 - 554 = -555", "Subtract: 18204/809 - (-555) = 467199/809"], "final_answer": "467199/809", "answer_type": "rational", "kind": "expression", "math_text": "444 * (-41) / (-809) - (-1 - 554)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 444, \"b\": -41, \"c\": -809, \"d\": -1, \"e\": 554}", "seed": "8793756592367346511", "semantic_fingerprint": "sha256:82f34d3a84455d85b707ecae3f5920d9a4ecdd23080b3727930a9bda4a8dd870", "generator_version": "3.0"}
{"id": "v3_val_00004941", "prompt": "What value of x satisfies 9x + 8 = 53?", "solution_steps": ["Subtract 8 from both sides: 9x = 45", "Divide both sides by 9: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 8 = 53", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"d\": 53, \"x\": 5}", "seed": "7363791253375359481", "semantic_fingerprint": "sha256:bb042c7f0ae46523bc162e3ac2bb6b2bbc5c6510cddba965fcaac3a99bdf8378", "generator_version": "3.0"}
{"id": "v3_val_00004942", "prompt": "Compute: -70 - (34 + (-289))", "solution_steps": ["Add: 34 + (-289) = -255", "Subtract: -70 - (-255) = 185"], "final_answer": "185", "answer_type": "integer", "kind": "expression", "math_text": "-70 - (34 + (-289))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 34, \"c\": -289}", "seed": "8059544379159650893", "semantic_fingerprint": "sha256:f031ce046dc53180a72913cf000597cd54fa5ae93a90763e1d612cb93504dc3b", "generator_version": "3.0"}
{"id": "v3_val_00004943", "prompt": "Evaluate: -4 / (-181 + (-92))", "solution_steps": ["Add: -181 + (-92) = -273", "Divide: -4 / (-273) = 4/273"], "final_answer": "4/273", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-181 + (-92))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -181, \"c\": -92}", "seed": "6897514813541487930", "semantic_fingerprint": "sha256:775620084b5b716f8d3a52828d20c19c245cfe2352341f7a2d190242233f6379", "generator_version": "3.0"}
{"id": "v3_val_00004944", "prompt": "Compute: 0 * 599 * 6", "solution_steps": ["Multiply: 0 * 599 = 0", "Multiply: 0 * 6 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 599 * 6", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 599, \"c\": 6}", "seed": "11964795188411134571", "semantic_fingerprint": "sha256:0752cd0114e2005117be07077d72e49b6f28461d2e2cf69fcbdb47d9929d0753", "generator_version": "3.0"}
{"id": "v3_val_00004945", "prompt": "Calculate: 3 / (-6 * (-2 * (-895)))", "solution_steps": ["Multiply: -2 * (-895) = 1790", "Multiply: -6 * 1790 = -10740", "Divide: 3 / (-10740) = -1/3580"], "final_answer": "-1/3580", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-6 * (-2 * (-895)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -6, \"c\": -2, \"d\": -895}", "seed": "16428017738896023964", "semantic_fingerprint": "sha256:69df033b7022bcf7ee9ebfebc559e85aaa6857cb19c1811add237df432677db0", "generator_version": "3.0"}
{"id": "v3_val_00004946", "prompt": "Evaluate: (0 - (-3) - (640 - (69 + 6))) * 912", "solution_steps": ["Subtract: 0 - (-3) = 3", "Add: 69 + 6 = 75", "Subtract: 640 - 75 = 565", "Subtract: 3 - 565 = -562", "Multiply: -562 * 912 = -512544"], "final_answer": "-512544", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-3) - (640 - (69 + 6))) * 912", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -3, \"c\": 640, \"d\": 69, \"e\": 6, \"f\": 912}", "seed": "2992522722632697357", "semantic_fingerprint": "sha256:1c0835f8974b9c198b439010278abd1f6683b031b768ffda4e415962fb1ae2f1", "generator_version": "3.0"}
{"id": "v3_val_00004947", "prompt": "Calculate: 5 * 988 * (113 - 4)", "solution_steps": ["Multiply: 5 * 988 = 4940", "Subtract: 113 - 4 = 109", "Multiply: 4940 * 109 = 538460"], "final_answer": "538460", "answer_type": "integer", "kind": "expression", "math_text": "5 * 988 * (113 - 4)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 988, \"c\": 113, \"d\": 4}", "seed": "835133271034826501", "semantic_fingerprint": "sha256:b000e51c7e65ad7c6321db29739590a77845d16b4dbfd37df9e493114ede42f0", "generator_version": "3.0"}
{"id": "v3_val_00004948", "prompt": "Evaluate: -95 / (-360 * 16 + 898) * (0 + (-38))", "solution_steps": ["Multiply: -360 * 16 = -5760", "Add: -5760 + 898 = -4862", "Divide: -95 / (-4862) = 95/4862", "Add: 0 + (-38) = -38", "Multiply: (95/4862) * (-38) = -1805/2431"], "final_answer": "-1805/2431", "answer_type": "rational", "kind": "expression", "math_text": "-95 / (-360 * 16 + 898) * (0 + (-38))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ (* n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -360, \"c\": 16, \"d\": 898, \"e\": 0, \"f\": -38}", "seed": "79129024722287306", "semantic_fingerprint": "sha256:0812528c1c8b9661264d91286edc2d4d92a1b3eb7ffac1416343eb30bf69fcc8", "generator_version": "3.0"}
{"id": "v3_val_00004949", "prompt": "What is 0 / (6 + (-24) / (-104))?", "solution_steps": ["Divide: -24 / (-104) = 3/13", "Add: 6 + 3/13 = 81/13", "Divide: 0 / (81/13) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (6 + (-24) / (-104))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 6, \"c\": -24, \"d\": -104}", "seed": "18406819000943860871", "semantic_fingerprint": "sha256:7b2994c47e3ad4fbf5a79ef7d3ca0c9bf5c1281b1ab9ed2086319e29f71e19ec", "generator_version": "3.0"}
{"id": "v3_val_00004950", "prompt": "Evaluate: -2 / (-1 * (-70)) - (88 + (-1))", "solution_steps": ["Multiply: -1 * (-70) = 70", "Divide: -2 / 70 = -1/35", "Add: 88 + (-1) = 87", "Subtract: -1/35 - 87 = -3046/35"], "final_answer": "-3046/35", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-1 * (-70)) - (88 + (-1))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -1, \"c\": -70, \"d\": 88, \"e\": -1}", "seed": "470298218280925371", "semantic_fingerprint": "sha256:aab3cfea57aecfc2508f4fe091482005685c1991b013a93c9cafd72b36013a17", "generator_version": "3.0"}
{"id": "v3_val_00004951", "prompt": "Solve the equation -8(x - 39) = x + 294 for x.", "solution_steps": ["Expand: -8x + 312 = x + 294", "Subtract x from both sides: -9x + 312 = 294", "Subtract 312 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 - 39) = x + 294", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 39, \"d\": 294, \"x\": 2}", "seed": "8424931290503752196", "semantic_fingerprint": "sha256:1b3a9ca1307837ea06b073bca5a77f27fc4277a62b8bbc2f1eb6603f2678b1a5", "generator_version": "3.0"}
{"id": "v3_val_00004952", "prompt": "Evaluate: 6 + (-8 - 0 + 174) - (-959)", "solution_steps": ["Subtract: -8 - 0 = -8", "Add: -8 + 174 = 166", "Add: 6 + 166 = 172", "Subtract: 172 - (-959) = 1131"], "final_answer": "1131", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-8 - 0 + 174) - (-959)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -8, \"c\": 0, \"d\": 174, \"e\": -959}", "seed": "8348566891519614795", "semantic_fingerprint": "sha256:daa536a5a88a7864d2f95e762086c59f3fdba5df7589011e6be371fed37cd125", "generator_version": "3.0"}
{"id": "v3_val_00004953", "prompt": "Compute: -20 * (145 + (-467))", "solution_steps": ["Add: 145 + (-467) = -322", "Multiply: -20 * (-322) = 6440"], "final_answer": "6440", "answer_type": "integer", "kind": "expression", "math_text": "-20 * (145 + (-467))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 145, \"c\": -467}", "seed": "10299577458006534580", "semantic_fingerprint": "sha256:2d6353e5ebecc5b0b7e4aa42c1d295620179ebb59808fb3d5c50c8ad4d835a32", "generator_version": "3.0"}
{"id": "v3_val_00004954", "prompt": "Evaluate: 227 * (-564)", "solution_steps": ["Multiply: 227 * (-564) = -128028"], "final_answer": "-128028", "answer_type": "integer", "kind": "expression", "math_text": "227 * (-564)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 227, \"b\": -564}", "seed": "2157264743904645664", "semantic_fingerprint": "sha256:21c4304f4a6ad25c067ae538b0aae590f2666e882459965a1c932604e388156c", "generator_version": "3.0"}
{"id": "v3_val_00004955", "prompt": "Find x: 5(x - 6) = -472", "solution_steps": ["Expand: 5x - 30 = -472", "Add 30 to both sides: 5x = -442", "Divide both sides by 5: x = -442/5"], "final_answer": "-442/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 6) = -472", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": -472}", "seed": "13155752302638129798", "semantic_fingerprint": "sha256:c6bb70467276f50be1ce594558a2cdce5aaac4731ec561d5ff8001837f169fb8", "generator_version": "3.0"}
{"id": "v3_val_00004956", "prompt": "Calculate: (-228 - (-3)) * (-1) - (1 - (-891))", "solution_steps": ["Subtract: -228 - (-3) = -225", "Multiply: -225 * (-1) = 225", "Subtract: 1 - (-891) = 892", "Subtract: 225 - 892 = -667"], "final_answer": "-667", "answer_type": "integer", "kind": "expression", "math_text": "(-228 - (-3)) * (-1) - (1 - (-891))", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -228, \"b\": -3, \"c\": -1, \"d\": 1, \"e\": -891}", "seed": "9048233764058680196", "semantic_fingerprint": "sha256:a40d9af11fcd1e7d0897ee5ec005fc701009a81f753a17d6de47ec219b850900", "generator_version": "3.0"}
{"id": "v3_val_00004957", "prompt": "What value of x satisfies x + 75 = 6(x - 79) + 634?", "solution_steps": ["Expand: x + 75 = 6x - 474 + 634", "Combine constants: x + 75 = 6x + 160", "Subtract 6x from both sides: -5x + 75 = 160", "Subtract 75 from both sides: -5x = 85", "Divide both sides by -5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 75 = 6(x - 79) + 634", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 6, \"c\": 79, \"e\": 634, \"x\": -17}", "seed": "8532978608817831659", "semantic_fingerprint": "sha256:d1a4ea9a0b65a32689e0a7969d7e1c90676786dc428a5bfc9a1707ac3ac6c63d", "generator_version": "3.0"}
{"id": "v3_val_00004958", "prompt": "Compute: (-34 - 29) / 918 - (-511) / (-3)", "solution_steps": ["Subtract: -34 - 29 = -63", "Divide: -63 / 918 = -7/102", "Divide: -511 / (-3) = 511/3", "Subtract: -7/102 - 511/3 = -17381/102"], "final_answer": "-17381/102", "answer_type": "rational", "kind": "expression", "math_text": "(-34 - 29) / 918 - (-511) / (-3)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 29, \"c\": 918, \"d\": -511, \"e\": -3}", "seed": "4936713484776161689", "semantic_fingerprint": "sha256:a8d528139b2568136222e8e55268a469fa80063fa99fd787d312f316e21609c2", "generator_version": "3.0"}
{"id": "v3_val_00004959", "prompt": "Calculate: (-991 + 6) / 76 - (-84 * 18 - (-6))", "solution_steps": ["Add: -991 + 6 = -985", "Divide: -985 / 76 = -985/76", "Multiply: -84 * 18 = -1512", "Subtract: -1512 - (-6) = -1506", "Subtract: -985/76 - (-1506) = 113471/76"], "final_answer": "113471/76", "answer_type": "rational", "kind": "expression", "math_text": "(-991 + 6) / 76 - (-84 * 18 - (-6))", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -991, \"b\": 6, \"c\": 76, \"d\": -84, \"e\": 18, \"f\": -6}", "seed": "13170893333413285159", "semantic_fingerprint": "sha256:e4a7b8f8017ff17b3813f34a3435dd3eda3e1a273a8e0212e520a50c8aadc1ff", "generator_version": "3.0"}
{"id": "v3_val_00004960", "prompt": "What is 99 * 487 / (444 - 5)?", "solution_steps": ["Multiply: 99 * 487 = 48213", "Subtract: 444 - 5 = 439", "Divide: 48213 / 439 = 48213/439"], "final_answer": "48213/439", "answer_type": "rational", "kind": "expression", "math_text": "99 * 487 / (444 - 5)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 487, \"c\": 444, \"d\": 5}", "seed": "6091224541471799330", "semantic_fingerprint": "sha256:f83aefd0a2ca3f37d7729ff66576fceb665e94626af06447a1e8631503d3f6bb", "generator_version": "3.0"}
{"id": "v3_val_00004961", "prompt": "What value of x satisfies x - 85 = 6(x - 5)?", "solution_steps": ["Expand: x - 85 = 6x - 30", "Subtract 6x from both sides: -5x - 85 = -30", "Add 85 to both sides: -5x = 55", "Divide both sides by -5: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 85 = 6(x - 5)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"d\": -85, \"x\": -11}", "seed": "14395023904474316854", "semantic_fingerprint": "sha256:5b28814570032304f8bb77a201adfc95bcf175cdb25aadba4cb595f12ca186be", "generator_version": "3.0"}
{"id": "v3_val_00004962", "prompt": "Solve for x: 9x + 63 = -3(x + 18) + 201", "solution_steps": ["Expand: 9x + 63 = -3x - 54 + 201", "Combine constants: 9x + 63 = -3x + 147", "Add 3x to both sides: 12x + 63 = 147", "Subtract 63 from both sides: 12x = 84", "Divide both sides by 12: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 63 = -3(x + 18) + 201", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 63, \"c\": -3, \"d\": 18, \"f\": 201, \"x\": 7}", "seed": "4066408132257431866", "semantic_fingerprint": "sha256:6453e4d00f1c9fee1a0161cfd5a4c6abbb7fd92d43681543c7d3a2049f4b13d6", "generator_version": "3.0"}
{"id": "v3_val_00004963", "prompt": "What value of x satisfies x + 96 = 2(x + 54)?", "solution_steps": ["Expand: x + 96 = 2x + 108", "Subtract 2x from both sides: -x + 96 = 108", "Subtract 96 from both sides: -x = 12", "Divide both sides by -1: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 96 = 2(x + 54)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 54, \"d\": 96, \"x\": -12}", "seed": "13725646985472904701", "semantic_fingerprint": "sha256:c2a44801f4d0dfdb3dd9c00148fba4ceacf8c4c02196bceaf6ac43ec90a718fb", "generator_version": "3.0"}
{"id": "v3_val_00004964", "prompt": "Solve the equation x + 80 = 11x for x.", "solution_steps": ["Subtract 11x from both sides: -10x + 80 = 0", "Subtract 80 from both sides: -10x = -80", "Divide both sides by -10: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 80 = 11x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 80, \"x\": 8}", "seed": "13492738041550571508", "semantic_fingerprint": "sha256:ad97fda6ef7a6128b9043168e34cb9e067ec669bc85256873166c6ec61209a39", "generator_version": "3.0"}
{"id": "v3_val_00004965", "prompt": "Solve for x: -10x + 99 = x", "solution_steps": ["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": "-10x + 99 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"c\": 99, \"x\": 9}", "seed": "4013838534274955156", "semantic_fingerprint": "sha256:a50ce774d0651a46eb510a4d174e8dc219e19c6fc9ee440e4bcdd16e1d5f4d88", "generator_version": "3.0"}
{"id": "v3_val_00004966", "prompt": "What value of x satisfies -6(x + 95) - 426 = 3(x - 338)?", "solution_steps": ["Expand: -6x - 570 - 426 = 3(x - 338)", "Expand: -6x - 570 - 426 = 3x - 1014", "Combine constants: -6x - 996 = 3x - 1014", "Subtract 3x from both sides: -9x - 996 = -1014", "Add 996 to both sides: -9x = -18", "Divide both sides by -9: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 95) - 426 = 3(x - 338)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 95, \"c\": 3, \"d\": 338, \"f\": -426, \"x\": 2}", "seed": "7908625883686865716", "semantic_fingerprint": "sha256:13897e4caca37d819e16e44a34a4fd0478ae9c5d1dbc1eb8c54935a02947de09", "generator_version": "3.0"}
{"id": "v3_val_00004967", "prompt": "Compute: 64 / 16 + (6 + 23)", "solution_steps": ["Divide: 64 / 16 = 4", "Add: 6 + 23 = 29", "Add: 4 + 29 = 33"], "final_answer": "33", "answer_type": "integer", "kind": "expression", "math_text": "64 / 16 + (6 + 23)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 16, \"c\": 6, \"d\": 23}", "seed": "15259003212016450289", "semantic_fingerprint": "sha256:98112a8a99ed82f67f6d7cd949b8753f4e163916cf29d05e6b96bfe867a211c2", "generator_version": "3.0"}
{"id": "v3_val_00004968", "prompt": "Calculate: 0 + (69 - 52) * (86 - 9 - 534)", "solution_steps": ["Subtract: 69 - 52 = 17", "Subtract: 86 - 9 = 77", "Subtract: 77 - 534 = -457", "Multiply: 17 * (-457) = -7769", "Add: 0 + (-7769) = -7769"], "final_answer": "-7769", "answer_type": "integer", "kind": "expression", "math_text": "0 + (69 - 52) * (86 - 9 - 534)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (- n n) (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 69, \"c\": 52, \"d\": 86, \"e\": 9, \"f\": 534}", "seed": "4971691891614963754", "semantic_fingerprint": "sha256:b6c18531bc0c32b5fe61fac1bf10c0fcebb0ded66f3e80a763fd0eaa53ce3b55", "generator_version": "3.0"}
{"id": "v3_val_00004969", "prompt": "Calculate: 75 + (-7)", "solution_steps": ["Add: 75 + (-7) = 68"], "final_answer": "68", "answer_type": "integer", "kind": "expression", "math_text": "75 + (-7)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -7}", "seed": "3203022512692636455", "semantic_fingerprint": "sha256:7554bd27b7ca1c7de6cd8c26e195c6f843d82fb200a19a201f1e52c0563705bc", "generator_version": "3.0"}
{"id": "v3_val_00004970", "prompt": "Evaluate: (-2 + 4 + (-341)) / 73", "solution_steps": ["Add: -2 + 4 = 2", "Add: 2 + (-341) = -339", "Divide: -339 / 73 = -339/73"], "final_answer": "-339/73", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + 4 + (-341)) / 73", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": -341, \"d\": 73}", "seed": "13647405019964619536", "semantic_fingerprint": "sha256:a276e7e838313bda386c5188011bf43ef82c553693cf4e0ede917d18044143e4", "generator_version": "3.0"}
{"id": "v3_val_00004971", "prompt": "Evaluate: (301 + (-216)) / 89 - (-50) * 3", "solution_steps": ["Add: 301 + (-216) = 85", "Divide: 85 / 89 = 85/89", "Multiply: -50 * 3 = -150", "Subtract: 85/89 - (-150) = 13435/89"], "final_answer": "13435/89", "answer_type": "rational", "kind": "expression", "math_text": "(301 + (-216)) / 89 - (-50) * 3", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 301, \"b\": -216, \"c\": 89, \"d\": -50, \"e\": 3}", "seed": "7316985924631210121", "semantic_fingerprint": "sha256:bbed950326e83ca70ae04f5b927ddf53d7ea4d7b7137edd45443bc66bff9d7f0", "generator_version": "3.0"}
{"id": "v3_val_00004972", "prompt": "Evaluate: 71 / (4 * (-660 / 81))", "solution_steps": ["Divide: -660 / 81 = -220/27", "Multiply: 4 * (-220/27) = -880/27", "Divide: 71 / (-880/27) = -1917/880"], "final_answer": "-1917/880", "answer_type": "rational", "kind": "expression", "math_text": "71 / (4 * (-660 / 81))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 4, \"c\": -660, \"d\": 81}", "seed": "7949745093634334840", "semantic_fingerprint": "sha256:66c66abe68d386182f0bb18f06cf4814fd4e89bda62d96c10988c3d9bd32f732", "generator_version": "3.0"}
{"id": "v3_val_00004973", "prompt": "Compute: -669 * 1", "solution_steps": ["Multiply: -669 * 1 = -669"], "final_answer": "-669", "answer_type": "integer", "kind": "expression", "math_text": "-669 * 1", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -669, \"b\": 1}", "seed": "4320896346713029115", "semantic_fingerprint": "sha256:acabac3460d6103dbd69e43e8b0b49662b2003c7f7cd43d3b98c3d10cf8760b4", "generator_version": "3.0"}
{"id": "v3_val_00004974", "prompt": "Find x: x = 9(x + 58)", "solution_steps": ["Expand: x = 9x + 522", "Subtract 9x from both sides: -8x = 522", "Divide both sides by -8: x = -261/4"], "final_answer": "-261/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 9(x + 58)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 58}", "seed": "16905885241506764819", "semantic_fingerprint": "sha256:02307d63369bbd68e33706c6ea664d5ebbad4a6350e05e4235f498dcfc134e45", "generator_version": "3.0"}
{"id": "v3_val_00004975", "prompt": "Calculate: 7 * (434 + (-2))", "solution_steps": ["Add: 434 + (-2) = 432", "Multiply: 7 * 432 = 3024"], "final_answer": "3024", "answer_type": "integer", "kind": "expression", "math_text": "7 * (434 + (-2))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 434, \"c\": -2}", "seed": "870380020176184142", "semantic_fingerprint": "sha256:5edc3ccf53b4ee036b42c9f7655aa1f09e9b6cecb41f4f07850a240a6abf4fb8", "generator_version": "3.0"}
{"id": "v3_val_00004976", "prompt": "Find x: -8(x + 3) - 102 = x", "solution_steps": ["Expand: -8x - 24 - 102 = x", "Combine constants: -8x - 126 = x", "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": "-8(x + 3) - 102 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"d\": -102, \"x\": -14}", "seed": "12848235555383592623", "semantic_fingerprint": "sha256:4f4c8d162e7096e5d77023fc14daa9b42df885265551a8b65c2ea0bafd8b3998", "generator_version": "3.0"}
{"id": "v3_val_00004977", "prompt": "Evaluate: 54 * (-740) / (-6) - (-165 - 27) / (-72)", "solution_steps": ["Multiply: 54 * (-740) = -39960", "Divide: -39960 / (-6) = 6660", "Subtract: -165 - 27 = -192", "Divide: -192 / (-72) = 8/3", "Subtract: 6660 - 8/3 = 19972/3"], "final_answer": "19972/3", "answer_type": "rational", "kind": "expression", "math_text": "54 * (-740) / (-6) - (-165 - 27) / (-72)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) n) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -740, \"c\": -6, \"d\": -165, \"e\": 27, \"f\": -72}", "seed": "9440696660685342688", "semantic_fingerprint": "sha256:e9ba40b01bf92550c55d67783f981e513f3152e5a969ec0ed59a78a1803668ad", "generator_version": "3.0"}
{"id": "v3_val_00004978", "prompt": "Find x: x - 661 = 5x", "solution_steps": ["Subtract 5x from both sides: -4x - 661 = 0", "Add 661 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": "x - 661 = 5x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 661, \"b\": 5}", "seed": "12736209951596266942", "semantic_fingerprint": "sha256:ac1806196c43283d53e1cd7799fcfb3bea72f5cf91af23ba2e450c728cfc98a8", "generator_version": "3.0"}
{"id": "v3_val_00004979", "prompt": "Solve the equation 11(x - 2) + 62 = x + 261 for x.", "solution_steps": ["Expand: 11x - 22 + 62 = x + 261", "Combine constants: 11x + 40 = x + 261", "Subtract x from both sides: 10x + 40 = 261", "Subtract 40 from both sides: 10x = 221", "Divide both sides by 10: x = 221/10"], "final_answer": "221/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 2) + 62 = x + 261", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 62, \"d\": 261}", "seed": "14626686917951647277", "semantic_fingerprint": "sha256:42da1fa57316138025b14f71e1714b4c4d89eee54ac71cad7444fb0bf0ba47a0", "generator_version": "3.0"}
{"id": "v3_val_00004980", "prompt": "Evaluate: (-24 + (-1) * 6) / 792", "solution_steps": ["Multiply: -1 * 6 = -6", "Add: -24 + (-6) = -30", "Divide: -30 / 792 = -5/132"], "final_answer": "-5/132", "answer_type": "rational", "kind": "expression", "math_text": "(-24 + (-1) * 6) / 792", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -1, \"c\": 6, \"d\": 792}", "seed": "4710383847879642706", "semantic_fingerprint": "sha256:8ad7d985e7db7dffe98f8dffc8d4ba7791abd74faccc0d3c6a0bd06eca62c377", "generator_version": "3.0"}
{"id": "v3_val_00004981", "prompt": "Solve the equation 11(x - 2) + 523 = -2x for x.", "solution_steps": ["Expand: 11x - 22 + 523 = -2x", "Combine constants: 11x + 501 = -2x", "Add 2x to both sides: 13x + 501 = 0", "Subtract 501 from both sides: 13x = -501", "Divide both sides by 13: x = -501/13"], "final_answer": "-501/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 2) + 523 = -2x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 523, \"d\": -2}", "seed": "573933463853030479", "semantic_fingerprint": "sha256:e9b6243ff669e2c9009a534b6f0b146a447014dd02764e006b4ae4e44caed49a", "generator_version": "3.0"}
{"id": "v3_val_00004982", "prompt": "What is 77 - 58 / (-975)?", "solution_steps": ["Divide: 58 / (-975) = -58/975", "Subtract: 77 - (-58/975) = 75133/975"], "final_answer": "75133/975", "answer_type": "rational", "kind": "expression", "math_text": "77 - 58 / (-975)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 58, \"c\": -975}", "seed": "10792010489122107276", "semantic_fingerprint": "sha256:26144563b77b2b271dfbb67fad48a87642cde9715ff3bc8ff3cc427402903b5e", "generator_version": "3.0"}
{"id": "v3_val_00004983", "prompt": "Solve the equation x - 73 = -813 for x.", "solution_steps": ["Add 73 to both sides: x = -740"], "final_answer": "-740", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 73 = -813", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -813}", "seed": "3254104947508313525", "semantic_fingerprint": "sha256:c0275a8d57c207c9420b3f7d23c17021ee67605fc9aa149ce143af7e3ff81024", "generator_version": "3.0"}
{"id": "v3_val_00004984", "prompt": "What is -1 * 48?", "solution_steps": ["Multiply: -1 * 48 = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 48", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 48}", "seed": "13556072712345443990", "semantic_fingerprint": "sha256:3a9c14b50d57690ff82288bd4b82a4957eb2995314db7b2e7d8f63d0400ec6ff", "generator_version": "3.0"}
{"id": "v3_val_00004985", "prompt": "Compute: 6 + (-67) * (-50 * 43)", "solution_steps": ["Multiply: -50 * 43 = -2150", "Multiply: -67 * (-2150) = 144050", "Add: 6 + 144050 = 144056"], "final_answer": "144056", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-67) * (-50 * 43)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -67, \"c\": -50, \"d\": 43}", "seed": "5978335672789999111", "semantic_fingerprint": "sha256:8d7bd40b377cf0aeb419b86db139ca5c6389ee1d617e089a21e12e963dfd79c3", "generator_version": "3.0"}
{"id": "v3_val_00004986", "prompt": "Compute: -84 / (-3 + (-38) + (-6))", "solution_steps": ["Add: -3 + (-38) = -41", "Add: -41 + (-6) = -47", "Divide: -84 / (-47) = 84/47"], "final_answer": "84/47", "answer_type": "rational", "kind": "expression", "math_text": "-84 / (-3 + (-38) + (-6))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -3, \"c\": -38, \"d\": -6}", "seed": "9802534347269959586", "semantic_fingerprint": "sha256:89876b9d7caf4b8d2fdea90b15441c9c7c860060a42d74ef47b06ed2659306c3", "generator_version": "3.0"}
{"id": "v3_val_00004987", "prompt": "Evaluate: 83 * 4 * (-637)", "solution_steps": ["Multiply: 83 * 4 = 332", "Multiply: 332 * (-637) = -211484"], "final_answer": "-211484", "answer_type": "integer", "kind": "expression", "math_text": "83 * 4 * (-637)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 4, \"c\": -637}", "seed": "2837387232881727265", "semantic_fingerprint": "sha256:7136e365578b8c0354329bafb128489ecb0102f83db98dfd440496e2c3d1e1a5", "generator_version": "3.0"}
{"id": "v3_val_00004988", "prompt": "Compute: -3 - (24 + 3)", "solution_steps": ["Add: 24 + 3 = 27", "Subtract: -3 - 27 = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (24 + 3)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 24, \"c\": 3}", "seed": "9725658884694938771", "semantic_fingerprint": "sha256:38973fe78d83fdf37a8a29600f100969922765394230a704b3835b6de922a2d2", "generator_version": "3.0"}
{"id": "v3_val_00004989", "prompt": "Calculate: -5 * (-5) - (-15)", "solution_steps": ["Multiply: -5 * (-5) = 25", "Subtract: 25 - (-15) = 40"], "final_answer": "40", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-5) - (-15)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -5, \"c\": -15}", "seed": "13876069612364698748", "semantic_fingerprint": "sha256:612ca82900538f1ec1064c121544ae14b4348826566ca8e8b3762c815eb55c43", "generator_version": "3.0"}
{"id": "v3_val_00004990", "prompt": "Compute: -68 * 2 + (-8) - (-48) + 7", "solution_steps": ["Multiply: -68 * 2 = -136", "Add: -136 + (-8) = -144", "Subtract: -144 - (-48) = -96", "Add: -96 + 7 = -89"], "final_answer": "-89", "answer_type": "integer", "kind": "expression", "math_text": "-68 * 2 + (-8) - (-48) + 7", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 2, \"c\": -8, \"d\": -48, \"e\": 7}", "seed": "78951131589627400", "semantic_fingerprint": "sha256:d71558f076e1c8a97d907fde2461d38e213d105e2c23426ca8531ab6b9006935", "generator_version": "3.0"}
{"id": "v3_val_00004991", "prompt": "What is 1 - (-7 * (-3) - 45 * (-3 + (-74)))?", "solution_steps": ["Multiply: -7 * (-3) = 21", "Add: -3 + (-74) = -77", "Multiply: 45 * (-77) = -3465", "Subtract: 21 - (-3465) = 3486", "Subtract: 1 - 3486 = -3485"], "final_answer": "-3485", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-7 * (-3) - 45 * (-3 + (-74)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (* n n) (* n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -7, \"c\": -3, \"d\": 45, \"e\": -3, \"f\": -74}", "seed": "14281355579549023076", "semantic_fingerprint": "sha256:c856ba1beeb69ad0f3fd5c0050e15e46bc97669196e6499cbc98437c4c7012c7", "generator_version": "3.0"}
{"id": "v3_val_00004992", "prompt": "What is -389 + (-53) + (472 + 0)?", "solution_steps": ["Add: -389 + (-53) = -442", "Add: 472 + 0 = 472", "Add: -442 + 472 = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "-389 + (-53) + (472 + 0)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -389, \"b\": -53, \"c\": 472, \"d\": 0}", "seed": "5234355384041823675", "semantic_fingerprint": "sha256:d913c35afebc927c7d4ff65b8c21839901e0a76b524c453fa0ed7e303a9a8e4b", "generator_version": "3.0"}
{"id": "v3_val_00004993", "prompt": "Calculate: 0 + (-98) - 43 * (-360)", "solution_steps": ["Add: 0 + (-98) = -98", "Multiply: 43 * (-360) = -15480", "Subtract: -98 - (-15480) = 15382"], "final_answer": "15382", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-98) - 43 * (-360)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -98, \"c\": 43, \"d\": -360}", "seed": "1638244929665510630", "semantic_fingerprint": "sha256:921061e5acc4536f8afbb9a6d5faf0133316d0947cd83de25fbf262084d99fc3", "generator_version": "3.0"}
{"id": "v3_val_00004994", "prompt": "Compute: 224 / 430 - (-1 / 32 + 0)", "solution_steps": ["Divide: 224 / 430 = 112/215", "Divide: -1 / 32 = -1/32", "Add: -1/32 + 0 = -1/32", "Subtract: 112/215 - (-1/32) = 3799/6880"], "final_answer": "3799/6880", "answer_type": "rational", "kind": "expression", "math_text": "224 / 430 - (-1 / 32 + 0)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 224, \"b\": 430, \"c\": -1, \"d\": 32, \"e\": 0}", "seed": "16260579298187845752", "semantic_fingerprint": "sha256:78e2051c74c1d7da844f7bf9063fe44f3c432f779e55539233e5797ec9ad729f", "generator_version": "3.0"}
{"id": "v3_val_00004995", "prompt": "Calculate: 95 + (-5) + (-1) * 753", "solution_steps": ["Add: 95 + (-5) = 90", "Multiply: -1 * 753 = -753", "Add: 90 + (-753) = -663"], "final_answer": "-663", "answer_type": "integer", "kind": "expression", "math_text": "95 + (-5) + (-1) * 753", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -5, \"c\": -1, \"d\": 753}", "seed": "114378648734031099", "semantic_fingerprint": "sha256:e60a792b74f669e0333d5648259bc091926b62514d2c5367b1db181b62dab57c", "generator_version": "3.0"}
{"id": "v3_val_00004996", "prompt": "Calculate: 5 / (2 * (-691))", "solution_steps": ["Multiply: 2 * (-691) = -1382", "Divide: 5 / (-1382) = -5/1382"], "final_answer": "-5/1382", "answer_type": "rational", "kind": "expression", "math_text": "5 / (2 * (-691))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": -691}", "seed": "7034793285214442379", "semantic_fingerprint": "sha256:bb92deb816e7ad2f448d9b9f13c08db828907cb338a3c8d12679447e51a39169", "generator_version": "3.0"}
{"id": "v3_val_00004997", "prompt": "What is 3 - 41 + (-4 - 5)?", "solution_steps": ["Subtract: 3 - 41 = -38", "Subtract: -4 - 5 = -9", "Add: -38 + (-9) = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "expression", "math_text": "3 - 41 + (-4 - 5)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 41, \"c\": -4, \"d\": 5}", "seed": "16945775447516317476", "semantic_fingerprint": "sha256:de451f350d23f09212a8ec71761b668eba9f3541b82a667763e87845f02081bc", "generator_version": "3.0"}
{"id": "v3_val_00004998", "prompt": "Evaluate: -4 + (-484 - 67 * (-16))", "solution_steps": ["Multiply: 67 * (-16) = -1072", "Subtract: -484 - (-1072) = 588", "Add: -4 + 588 = 584"], "final_answer": "584", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-484 - 67 * (-16))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -484, \"c\": 67, \"d\": -16}", "seed": "16917252255421176274", "semantic_fingerprint": "sha256:916fe45322ef896452bfde52606052650f4951c696a48e931c0423795a8e0a51", "generator_version": "3.0"}
{"id": "v3_val_00004999", "prompt": "Calculate: 69 / 91", "solution_steps": ["Divide: 69 / 91 = 69/91"], "final_answer": "69/91", "answer_type": "rational", "kind": "expression", "math_text": "69 / 91", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 91}", "seed": "13428170971210515799", "semantic_fingerprint": "sha256:a41babd33a751399d7facbd720082017ed474e24d25325482688ae4bfea4e6bd", "generator_version": "3.0"}
{"id": "v3_val_00005000", "prompt": "What is 7 / (-98) + (-179)?", "solution_steps": ["Divide: 7 / (-98) = -1/14", "Add: -1/14 + (-179) = -2507/14"], "final_answer": "-2507/14", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-98) + (-179)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -98, \"c\": -179}", "seed": "15585192102822030706", "semantic_fingerprint": "sha256:2468787fe4f1256f166593dbcafca29345da5deba903c0d624812624449449bf", "generator_version": "3.0"}
{"id": "v3_val_00005001", "prompt": "Solve for x: 4(x - 91) + 992 = 6(x + 55) + 266", "solution_steps": ["Expand: 4x - 364 + 992 = 6(x + 55) + 266", "Expand: 4x - 364 + 992 = 6x + 330 + 266", "Combine constants: 4x + 628 = 6x + 330 + 266", "Combine constants: 4x + 628 = 6x + 596", "Subtract 6x from both sides: -2x + 628 = 596", "Subtract 628 from both sides: -2x = -32", "Divide both sides by -2: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 91) + 992 = 6(x + 55) + 266", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 91, \"c\": 992, \"d\": 6, \"e\": 55, \"g\": 266, \"x\": 16}", "seed": "6528333989936080776", "semantic_fingerprint": "sha256:330ebe4afaa3c6e4c4fe56d8f27e76bc87832542e69e9fbf24e9f5bc8be4cefd", "generator_version": "3.0"}
{"id": "v3_val_00005002", "prompt": "Evaluate: 173 - (-41)", "solution_steps": ["Subtract: 173 - (-41) = 214"], "final_answer": "214", "answer_type": "integer", "kind": "expression", "math_text": "173 - (-41)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 173, \"b\": -41}", "seed": "8780322013575869430", "semantic_fingerprint": "sha256:07eacc684f1160872a0c4e968758a3a282371ab42c513551851ce05589dae143", "generator_version": "3.0"}
{"id": "v3_val_00005003", "prompt": "Solve the equation -11x - 78 = 11x + 98 for x.", "solution_steps": ["Subtract 11x from both sides: -22x - 78 = 98", "Add 78 to both sides: -22x = 176", "Divide both sides by -22: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 78 = 11x + 98", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 78, \"c\": 11, \"e\": 98, \"x\": -8}", "seed": "17980964500777539517", "semantic_fingerprint": "sha256:2feeea7b2507e31a5948938fe3f299431ccd6da335d6111fa985e4ad3cae11b3", "generator_version": "3.0"}
{"id": "v3_val_00005004", "prompt": "Solve the equation 8(x - 12) = -2(x + 15) - 4 for x.", "solution_steps": ["Expand: 8x - 96 = -2(x + 15) - 4", "Expand: 8x - 96 = -2x - 30 - 4", "Combine constants: 8x - 96 = -2x - 34", "Add 2x to both sides: 10x - 96 = -34", "Add 96 to both sides: 10x = 62", "Divide both sides by 10: x = 31/5"], "final_answer": "31/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 12) = -2(x + 15) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": -2, \"d\": 15, \"e\": 4}", "seed": "13975712752069772941", "semantic_fingerprint": "sha256:7da9d0c8c142fa1fb0e19eaf6e368c80f1626041d3dcb5ac106886a798623c3a", "generator_version": "3.0"}
{"id": "v3_val_00005005", "prompt": "Evaluate: (4 + (-9) - (-45)) * (386 / (-41)) - 425", "solution_steps": ["Add: 4 + (-9) = -5", "Subtract: -5 - (-45) = 40", "Divide: 386 / (-41) = -386/41", "Multiply: 40 * (-386/41) = -15440/41", "Subtract: -15440/41 - 425 = -32865/41"], "final_answer": "-32865/41", "answer_type": "rational", "kind": "expression", "math_text": "(4 + (-9) - (-45)) * (386 / (-41)) - 425", "variable": null, "family": "expression_5op", "shape": "(- (* (- (+ n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -9, \"c\": -45, \"d\": 386, \"e\": -41, \"f\": 425}", "seed": "12540690555846985534", "semantic_fingerprint": "sha256:a37337bf3247e85b1e291579a0eed625b0bd70456becf5dbaf86b594a164a727", "generator_version": "3.0"}
{"id": "v3_val_00005006", "prompt": "What is 33 - (-74)?", "solution_steps": ["Subtract: 33 - (-74) = 107"], "final_answer": "107", "answer_type": "integer", "kind": "expression", "math_text": "33 - (-74)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": -74}", "seed": "10890649177379878495", "semantic_fingerprint": "sha256:dc2b00159608d94271bc28cbac86ad6811f84ba7977fcd8571f6c56bab4c963a", "generator_version": "3.0"}
{"id": "v3_val_00005007", "prompt": "Calculate: -52 / (69 + (-45)) / 9 + (-799)", "solution_steps": ["Add: 69 + (-45) = 24", "Divide: -52 / 24 = -13/6", "Divide: (-13/6) / 9 = -13/54", "Add: -13/54 + (-799) = -43159/54"], "final_answer": "-43159/54", "answer_type": "rational", "kind": "expression", "math_text": "-52 / (69 + (-45)) / 9 + (-799)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 69, \"c\": -45, \"d\": 9, \"e\": -799}", "seed": "3087458287788119276", "semantic_fingerprint": "sha256:3d1b94a30df03dc59a724a267ce795e82577dbc4ff02406597bb4abc4cc91326", "generator_version": "3.0"}
{"id": "v3_val_00005008", "prompt": "Evaluate: -835 + (-24 - 53) / (-2 / (-29) * (-6))", "solution_steps": ["Subtract: -24 - 53 = -77", "Divide: -2 / (-29) = 2/29", "Multiply: (2/29) * (-6) = -12/29", "Divide: -77 / (-12/29) = 2233/12", "Add: -835 + 2233/12 = -7787/12"], "final_answer": "-7787/12", "answer_type": "rational", "kind": "expression", "math_text": "-835 + (-24 - 53) / (-2 / (-29) * (-6))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (- n n) (* (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -835, \"b\": -24, \"c\": 53, \"d\": -2, \"e\": -29, \"f\": -6}", "seed": "9420113512199343332", "semantic_fingerprint": "sha256:04b5389dd962b119ae30324860b946e2a5b897ae5ccfa63a85f0dff295110eb0", "generator_version": "3.0"}
{"id": "v3_val_00005009", "prompt": "Calculate: 99 / (-638 - 48) - (7 + (-81))", "solution_steps": ["Subtract: -638 - 48 = -686", "Divide: 99 / (-686) = -99/686", "Add: 7 + (-81) = -74", "Subtract: -99/686 - (-74) = 50665/686"], "final_answer": "50665/686", "answer_type": "rational", "kind": "expression", "math_text": "99 / (-638 - 48) - (7 + (-81))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -638, \"c\": 48, \"d\": 7, \"e\": -81}", "seed": "4692939466723187566", "semantic_fingerprint": "sha256:8adf1153ec57b6378daa4bf1d0491ade6ff0dc352052453355e8e43b6fe4ce8f", "generator_version": "3.0"}
{"id": "v3_val_00005010", "prompt": "Solve for x: -4x = 8x", "solution_steps": ["Subtract 8x from both sides: -12x = 0", "Divide both sides by -12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = 8x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8}", "seed": "8421903930203815330", "semantic_fingerprint": "sha256:a9892acb38ce43694eb2da9e04942a28b301f82a46bb6e83bf19640f4a7a987e", "generator_version": "3.0"}
{"id": "v3_val_00005011", "prompt": "What is -495 - (-3)?", "solution_steps": ["Subtract: -495 - (-3) = -492"], "final_answer": "-492", "answer_type": "integer", "kind": "expression", "math_text": "-495 - (-3)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -495, \"b\": -3}", "seed": "3056141879756806181", "semantic_fingerprint": "sha256:0d029b8a57625531d9ea07a9fdab20226b0ea66913890aeeb00fcd556a1fc8ca", "generator_version": "3.0"}
{"id": "v3_val_00005012", "prompt": "Solve the equation x - 7 = -12(x + 964) + 49 for x.", "solution_steps": ["Expand: x - 7 = -12x - 11568 + 49", "Combine constants: x - 7 = -12x - 11519", "Add 12x to both sides: 13x - 7 = -11519", "Add 7 to both sides: 13x = -11512", "Divide both sides by 13: x = -11512/13"], "final_answer": "-11512/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7 = -12(x + 964) + 49", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -12, \"c\": 964, \"d\": 49}", "seed": "18397015094521853598", "semantic_fingerprint": "sha256:74c04d90eea7ff051574efbe3d9699c0010f1355b584253a15923f6ec7bd1ee7", "generator_version": "3.0"}
{"id": "v3_val_00005013", "prompt": "What is 72 / 516 + 40 - (-9)?", "solution_steps": ["Divide: 72 / 516 = 6/43", "Add: 6/43 + 40 = 1726/43", "Subtract: 1726/43 - (-9) = 2113/43"], "final_answer": "2113/43", "answer_type": "rational", "kind": "expression", "math_text": "72 / 516 + 40 - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 516, \"c\": 40, \"d\": -9}", "seed": "3302305433630992234", "semantic_fingerprint": "sha256:f38e11b40baafc1511c8f3f70dc53e723ad3868be21957e3b3e16722ff146542", "generator_version": "3.0"}
{"id": "v3_val_00005014", "prompt": "Calculate: 62 + 50", "solution_steps": ["Add: 62 + 50 = 112"], "final_answer": "112", "answer_type": "integer", "kind": "expression", "math_text": "62 + 50", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 50}", "seed": "13622393174276592655", "semantic_fingerprint": "sha256:1cb14c6faed2e84895153a8c53f794e5a27ab9afed917d581bee93a78a54f127", "generator_version": "3.0"}
{"id": "v3_val_00005015", "prompt": "Evaluate: -60 + 16 / (-50)", "solution_steps": ["Divide: 16 / (-50) = -8/25", "Add: -60 + (-8/25) = -1508/25"], "final_answer": "-1508/25", "answer_type": "rational", "kind": "expression", "math_text": "-60 + 16 / (-50)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 16, \"c\": -50}", "seed": "6566762054810701734", "semantic_fingerprint": "sha256:ec30e517ed99ee56c0bfb136e748abad09694a7aa5c0ed98ea1a31a3923039dc", "generator_version": "3.0"}
{"id": "v3_val_00005016", "prompt": "What is -92 - 53?", "solution_steps": ["Subtract: -92 - 53 = -145"], "final_answer": "-145", "answer_type": "integer", "kind": "expression", "math_text": "-92 - 53", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 53}", "seed": "578173091266126968", "semantic_fingerprint": "sha256:3744a582e5ac53b72fd7c1230419b4eb47bb479fe5da05171fe66f4556f09a20", "generator_version": "3.0"}
{"id": "v3_val_00005017", "prompt": "What is -6 + 16 + 33?", "solution_steps": ["Add: -6 + 16 = 10", "Add: 10 + 33 = 43"], "final_answer": "43", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 16 + 33", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 16, \"c\": 33}", "seed": "13960079052177169115", "semantic_fingerprint": "sha256:831a568b14b035502f344bc0cc7c4f90cd34e01ef0dfe05908302f250e9f13ad", "generator_version": "3.0"}
{"id": "v3_val_00005018", "prompt": "Find x: x + 1 = -9(x - 24) + 6", "solution_steps": ["Expand: x + 1 = -9x + 216 + 6", "Combine constants: x + 1 = -9x + 222", "Add 9x to both sides: 10x + 1 = 222", "Subtract 1 from both sides: 10x = 221", "Divide both sides by 10: x = 221/10"], "final_answer": "221/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1 = -9(x - 24) + 6", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -9, \"c\": 24, \"d\": 6}", "seed": "10597660333154455486", "semantic_fingerprint": "sha256:4c1829468d8b1435fc1f35864c5bab7fa4a937f2e111e685360fb4c349681199", "generator_version": "3.0"}
{"id": "v3_val_00005019", "prompt": "Solve for x: 10x - 9 = x + 99", "solution_steps": ["Subtract x from both sides: 9x - 9 = 99", "Add 9 to both sides: 9x = 108", "Divide both sides by 9: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 9 = x + 99", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"d\": 99, \"x\": 12}", "seed": "8912711361205348477", "semantic_fingerprint": "sha256:4740c90d9d22c5448472efb2c50c9aa35c3aeaf8fcb6f253ff09000d6a98d498", "generator_version": "3.0"}
{"id": "v3_val_00005020", "prompt": "Evaluate: -9 * (38 * (-8 + 77))", "solution_steps": ["Add: -8 + 77 = 69", "Multiply: 38 * 69 = 2622", "Multiply: -9 * 2622 = -23598"], "final_answer": "-23598", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (38 * (-8 + 77))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 38, \"c\": -8, \"d\": 77}", "seed": "13325250945085328223", "semantic_fingerprint": "sha256:0a1a37d85081ef65ae14d66664118d7c68e8d1a441a8e23b1ef40d5ea85f84e7", "generator_version": "3.0"}
{"id": "v3_val_00005021", "prompt": "What value of x satisfies x + 27 = 4x?", "solution_steps": ["Subtract 4x 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": "x + 27 = 4x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 4}", "seed": "17930885025572773785", "semantic_fingerprint": "sha256:143d34177bacf4ab0b7a8a1533b825dca5ea701f326848b6121a342eb2d7a777", "generator_version": "3.0"}
{"id": "v3_val_00005022", "prompt": "Solve the equation -8(x + 1) - 144 = 4(x + 83) - 340 for x.", "solution_steps": ["Expand: -8x - 8 - 144 = 4(x + 83) - 340", "Expand: -8x - 8 - 144 = 4x + 332 - 340", "Combine constants: -8x - 152 = 4x + 332 - 340", "Combine constants: -8x - 152 = 4x - 8", "Subtract 4x from both sides: -12x - 152 = -8", "Add 152 to both sides: -12x = 144", "Divide both sides by -12: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 1) - 144 = 4(x + 83) - 340", "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\": 144, \"d\": 4, \"e\": 83, \"g\": -340, \"x\": -12}", "seed": "1236125473692335790", "semantic_fingerprint": "sha256:b928d49d31d419e82d4a0290e1d33429d0625aefc9a5c25587d1408e01c8b287", "generator_version": "3.0"}
{"id": "v3_val_00005023", "prompt": "Evaluate: 0 * 111 / (99 + 733) * (-8) / (-88)", "solution_steps": ["Multiply: 0 * 111 = 0", "Add: 99 + 733 = 832", "Divide: 0 / 832 = 0", "Multiply: 0 * (-8) = 0", "Divide: 0 / (-88) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 111 / (99 + 733) * (-8) / (-88)", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ (* n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 111, \"c\": 99, \"d\": 733, \"e\": -8, \"f\": -88}", "seed": "13639978886744174604", "semantic_fingerprint": "sha256:f576e911b7b4659d59a714edab61f51435640313a7aba49917d3989acd3d4e09", "generator_version": "3.0"}
{"id": "v3_val_00005024", "prompt": "Compute: 50 - (-14 + (-70))", "solution_steps": ["Add: -14 + (-70) = -84", "Subtract: 50 - (-84) = 134"], "final_answer": "134", "answer_type": "integer", "kind": "expression", "math_text": "50 - (-14 + (-70))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -14, \"c\": -70}", "seed": "12411525293526991901", "semantic_fingerprint": "sha256:31ff4be65705525de37e859030067716f2ea9976eee98192f31e530c69301ae8", "generator_version": "3.0"}
{"id": "v3_val_00005025", "prompt": "Calculate: (-57 / (-1) + (-6) / 7) / (-10 / 2)", "solution_steps": ["Divide: -57 / (-1) = 57", "Divide: -6 / 7 = -6/7", "Add: 57 + (-6/7) = 393/7", "Divide: -10 / 2 = -5", "Divide: (393/7) / (-5) = -393/35"], "final_answer": "-393/35", "answer_type": "rational", "kind": "expression", "math_text": "(-57 / (-1) + (-6) / 7) / (-10 / 2)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -1, \"c\": -6, \"d\": 7, \"e\": -10, \"f\": 2}", "seed": "10397197236124304257", "semantic_fingerprint": "sha256:391e7cff61c32c3b010bd96e1a4e70e3d99d4d36397d38328601e8c6bd311926", "generator_version": "3.0"}
{"id": "v3_val_00005026", "prompt": "Evaluate: -68 * 21 / 72 * 7", "solution_steps": ["Multiply: -68 * 21 = -1428", "Divide: -1428 / 72 = -119/6", "Multiply: (-119/6) * 7 = -833/6"], "final_answer": "-833/6", "answer_type": "rational", "kind": "expression", "math_text": "-68 * 21 / 72 * 7", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 21, \"c\": 72, \"d\": 7}", "seed": "15940405677500486252", "semantic_fingerprint": "sha256:05d2c1e2470fd7f96d65f182fc5c98a86d09e863cb6f2c6317df4e984cae9864", "generator_version": "3.0"}
{"id": "v3_val_00005027", "prompt": "Solve for x: 9(x - 793) = 10(x - 641) - 709", "solution_steps": ["Expand: 9x - 7137 = 10(x - 641) - 709", "Expand: 9x - 7137 = 10x - 6410 - 709", "Combine constants: 9x - 7137 = 10x - 7119", "Subtract 10x from both sides: -x - 7137 = -7119", "Add 7137 to both sides: -x = 18", "Divide both sides by -1: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 793) = 10(x - 641) - 709", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 793, \"c\": 10, \"d\": 641, \"f\": -709, \"x\": -18}", "seed": "10963607913154138162", "semantic_fingerprint": "sha256:7eba464c67a22fa04efa3b2763d2997fd99d25c396afd13450c7004bbd8a63fc", "generator_version": "3.0"}
{"id": "v3_val_00005028", "prompt": "Calculate: 43 - 7", "solution_steps": ["Subtract: 43 - 7 = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "43 - 7", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 7}", "seed": "11762091157399558027", "semantic_fingerprint": "sha256:41a70db492fd5b500aa39a8f6f41467d5a54be9642c965188d350a8e49491362", "generator_version": "3.0"}
{"id": "v3_val_00005029", "prompt": "What is 8 + 55 / (-9)?", "solution_steps": ["Divide: 55 / (-9) = -55/9", "Add: 8 + (-55/9) = 17/9"], "final_answer": "17/9", "answer_type": "rational", "kind": "expression", "math_text": "8 + 55 / (-9)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 55, \"c\": -9}", "seed": "7885732364292786467", "semantic_fingerprint": "sha256:d89da7398950f86661f694e23454278f44abab5021cb4a6f6b56720ceff146ed", "generator_version": "3.0"}
{"id": "v3_val_00005030", "prompt": "What value of x satisfies x + 560 = 9(x + 56)?", "solution_steps": ["Expand: x + 560 = 9x + 504", "Subtract 9x from both sides: -8x + 560 = 504", "Subtract 560 from both sides: -8x = -56", "Divide both sides by -8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 560 = 9(x + 56)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 56, \"d\": 560, \"x\": 7}", "seed": "4871070691635050100", "semantic_fingerprint": "sha256:18ac33b223a276ccc8cdacfdbf103a02c0be24a59125565032e1826dd5591dc9", "generator_version": "3.0"}
{"id": "v3_val_00005031", "prompt": "Compute: 0 * (-63) * (-640)", "solution_steps": ["Multiply: 0 * (-63) = 0", "Multiply: 0 * (-640) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-63) * (-640)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -63, \"c\": -640}", "seed": "14729464430064143416", "semantic_fingerprint": "sha256:0ddf50846a5a077a61d7b4f22e89ce82d4d8ba8b1648c581d781b9b87dcdb090", "generator_version": "3.0"}
{"id": "v3_val_00005032", "prompt": "Solve the equation 2(x - 31) = 11(x - 24) - 4 for x.", "solution_steps": ["Expand: 2x - 62 = 11(x - 24) - 4", "Expand: 2x - 62 = 11x - 264 - 4", "Combine constants: 2x - 62 = 11x - 268", "Subtract 11x from both sides: -9x - 62 = -268", "Add 62 to both sides: -9x = -206", "Divide both sides by -9: x = 206/9"], "final_answer": "206/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 31) = 11(x - 24) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 31, \"c\": 11, \"d\": 24, \"e\": 4}", "seed": "6315038641309584548", "semantic_fingerprint": "sha256:d00677876c9a944cbc75cd0282b232be187d8097e413144b2c86586d765f6307", "generator_version": "3.0"}
{"id": "v3_val_00005033", "prompt": "Evaluate: 82 * (3 / (-53))", "solution_steps": ["Divide: 3 / (-53) = -3/53", "Multiply: 82 * (-3/53) = -246/53"], "final_answer": "-246/53", "answer_type": "rational", "kind": "expression", "math_text": "82 * (3 / (-53))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 3, \"c\": -53}", "seed": "15938698385919807158", "semantic_fingerprint": "sha256:3513a7e040e32de236dd204a8f4f56d49af0670031e63137d982cfafa31bf614", "generator_version": "3.0"}
{"id": "v3_val_00005034", "prompt": "Compute: 2 / (11 + (-1) * (-483))", "solution_steps": ["Multiply: -1 * (-483) = 483", "Add: 11 + 483 = 494", "Divide: 2 / 494 = 1/247"], "final_answer": "1/247", "answer_type": "rational", "kind": "expression", "math_text": "2 / (11 + (-1) * (-483))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 11, \"c\": -1, \"d\": -483}", "seed": "7871717864429900332", "semantic_fingerprint": "sha256:7fbbba2efa811d4dc4c450137be38851fe29c91ce98f5bae90005f768bcef11e", "generator_version": "3.0"}
{"id": "v3_val_00005035", "prompt": "Solve for x: 4(x + 9) - 615 = 12(x + 5) + 5", "solution_steps": ["Expand: 4x + 36 - 615 = 12(x + 5) + 5", "Expand: 4x + 36 - 615 = 12x + 60 + 5", "Combine constants: 4x - 579 = 12x + 60 + 5", "Combine constants: 4x - 579 = 12x + 65", "Subtract 12x from both sides: -8x - 579 = 65", "Add 579 to both sides: -8x = 644", "Divide both sides by -8: x = -161/2"], "final_answer": "-161/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 9) - 615 = 12(x + 5) + 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\": 615, \"d\": 12, \"e\": 5, \"f\": 5}", "seed": "11387404843400612492", "semantic_fingerprint": "sha256:68423ed4b5034770fb2f6d4fcd891385dcb6e03e5f7f71e0ff6308a0b14bee3a", "generator_version": "3.0"}
{"id": "v3_val_00005036", "prompt": "Evaluate: 494 * 6", "solution_steps": ["Multiply: 494 * 6 = 2964"], "final_answer": "2964", "answer_type": "integer", "kind": "expression", "math_text": "494 * 6", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 494, \"b\": 6}", "seed": "1080152489494455999", "semantic_fingerprint": "sha256:c1b3e1c6a0361a289c77c0ebbfec279cb6a5377109a9d59577216dc96eebc3ed", "generator_version": "3.0"}
{"id": "v3_val_00005037", "prompt": "Compute: 54 / (-79 / (-85)) + (-55) / (-5)", "solution_steps": ["Divide: -79 / (-85) = 79/85", "Divide: 54 / (79/85) = 4590/79", "Divide: -55 / (-5) = 11", "Add: 4590/79 + 11 = 5459/79"], "final_answer": "5459/79", "answer_type": "rational", "kind": "expression", "math_text": "54 / (-79 / (-85)) + (-55) / (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -79, \"c\": -85, \"d\": -55, \"e\": -5}", "seed": "11741016107913747208", "semantic_fingerprint": "sha256:815b5983c86cd9e3dc6180ce3aeb9b61a539d05463c7b7fc7a426d7df57fb5c4", "generator_version": "3.0"}
{"id": "v3_val_00005038", "prompt": "Calculate: -89 * (-27)", "solution_steps": ["Multiply: -89 * (-27) = 2403"], "final_answer": "2403", "answer_type": "integer", "kind": "expression", "math_text": "-89 * (-27)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -27}", "seed": "10858870366992873820", "semantic_fingerprint": "sha256:288a1eaa60a3e6ba654549ca01a940b4539e8427d3d5d0bdd747a6d65e384b56", "generator_version": "3.0"}
{"id": "v3_val_00005039", "prompt": "What is 67 - 101?", "solution_steps": ["Subtract: 67 - 101 = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "expression", "math_text": "67 - 101", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 101}", "seed": "2415620671638044435", "semantic_fingerprint": "sha256:df95cacd8efd53f1493104d72b94eccdd761d4bb14c34d35112cf5ee91ab85f6", "generator_version": "3.0"}
{"id": "v3_val_00005040", "prompt": "Solve for x: 11(x - 1) = 7x + 1", "solution_steps": ["Expand: 11x - 11 = 7x + 1", "Subtract 7x from both sides: 4x - 11 = 1", "Add 11 to both sides: 4x = 12", "Divide both sides by 4: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 1) = 7x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 7, \"e\": 1, \"x\": 3}", "seed": "11143332600642976268", "semantic_fingerprint": "sha256:823db1b225a584c154e67bcefc65ffc6d0074d8af385e957b03df15b2c7f2c1d", "generator_version": "3.0"}
{"id": "v3_val_00005041", "prompt": "Solve the equation x - 69 = 3(x + 63) - 276 for x.", "solution_steps": ["Expand: x - 69 = 3x + 189 - 276", "Combine constants: x - 69 = 3x - 87", "Subtract 3x from both sides: -2x - 69 = -87", "Add 69 to both sides: -2x = -18", "Divide both sides by -2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 69 = 3(x + 63) - 276", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 3, \"c\": 63, \"e\": -276, \"x\": 9}", "seed": "16851995024390605281", "semantic_fingerprint": "sha256:e626dfce80ff7ee5df17574d8eb7c1e73b4a7a9672f6138ebbe9ea442b143884", "generator_version": "3.0"}
{"id": "v3_val_00005042", "prompt": "Solve the equation x + 42 = 3x + 6 for x.", "solution_steps": ["Subtract 3x from both sides: -2x + 42 = 6", "Subtract 42 from both sides: -2x = -36", "Divide both sides by -2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 42 = 3x + 6", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 3, \"d\": 6, \"x\": 18}", "seed": "16842563942163192984", "semantic_fingerprint": "sha256:c97ac6de8abfb5848a4411c90e4fcc93ad590d4aa50482efdd3037f4dbc69a98", "generator_version": "3.0"}
{"id": "v3_val_00005043", "prompt": "Solve the equation 9(x - 93) = -11(x + 32) for x.", "solution_steps": ["Expand: 9x - 837 = -11(x + 32)", "Expand: 9x - 837 = -11x - 352", "Add 11x to both sides: 20x - 837 = -352", "Add 837 to both sides: 20x = 485", "Divide both sides by 20: x = 97/4"], "final_answer": "97/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 93) = -11(x + 32)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 93, \"c\": -11, \"d\": 32}", "seed": "14856630749044649064", "semantic_fingerprint": "sha256:8c07a45c6f53d0c24878c9491ce72e3002b55af9ba8379206b3d8218918def64", "generator_version": "3.0"}
{"id": "v3_val_00005044", "prompt": "Compute: -6 - 8 - 985 / 406 + 88 / 7", "solution_steps": ["Subtract: -6 - 8 = -14", "Divide: 985 / 406 = 985/406", "Subtract: -14 - 985/406 = -6669/406", "Divide: 88 / 7 = 88/7", "Add: -6669/406 + 88/7 = -1565/406"], "final_answer": "-1565/406", "answer_type": "rational", "kind": "expression", "math_text": "-6 - 8 - 985 / 406 + 88 / 7", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 8, \"c\": 985, \"d\": 406, \"e\": 88, \"f\": 7}", "seed": "1901971908613562336", "semantic_fingerprint": "sha256:59316d24f290537c520a6b68d6e93702f34596b21a7272974822e0310a1b8695", "generator_version": "3.0"}
{"id": "v3_val_00005045", "prompt": "Evaluate: (-47 - 59) / (-11)", "solution_steps": ["Subtract: -47 - 59 = -106", "Divide: -106 / (-11) = 106/11"], "final_answer": "106/11", "answer_type": "rational", "kind": "expression", "math_text": "(-47 - 59) / (-11)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 59, \"c\": -11}", "seed": "13909946265651568362", "semantic_fingerprint": "sha256:0e11b744d942a439f7ed375965c333b8f2c38d4d39edc56942b87b6c582e66e0", "generator_version": "3.0"}
{"id": "v3_val_00005046", "prompt": "Compute: -42 * (313 + (-14 - 8 / 62))", "solution_steps": ["Divide: 8 / 62 = 4/31", "Subtract: -14 - 4/31 = -438/31", "Add: 313 + (-438/31) = 9265/31", "Multiply: -42 * (9265/31) = -389130/31"], "final_answer": "-389130/31", "answer_type": "rational", "kind": "expression", "math_text": "-42 * (313 + (-14 - 8 / 62))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 313, \"c\": -14, \"d\": 8, \"e\": 62}", "seed": "510942993427391304", "semantic_fingerprint": "sha256:046086f91d7cce830a3ca2dbc0daef8debd5d85496c2f7a0acbdcc6feb472d48", "generator_version": "3.0"}
{"id": "v3_val_00005047", "prompt": "Compute: 21 / (-89 - (-9))", "solution_steps": ["Subtract: -89 - (-9) = -80", "Divide: 21 / (-80) = -21/80"], "final_answer": "-21/80", "answer_type": "rational", "kind": "expression", "math_text": "21 / (-89 - (-9))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -89, \"c\": -9}", "seed": "4181661437777430065", "semantic_fingerprint": "sha256:96787393d16b91ade57bf042c1f329bfd4640b8002384d1e2e59592b05fd9c6e", "generator_version": "3.0"}
{"id": "v3_val_00005048", "prompt": "Find x: 10x = x - 986", "solution_steps": ["Subtract x from both sides: 9x = -986", "Divide both sides by 9: x = -986/9"], "final_answer": "-986/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = x - 986", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 986}", "seed": "14295142415217195997", "semantic_fingerprint": "sha256:e34e75361a5e38fd8c3c04b01906b7db676d44a70317a52dde5f1bc874ecbf3e", "generator_version": "3.0"}
{"id": "v3_val_00005049", "prompt": "What value of x satisfies 2(x + 2) = 4x + 8?", "solution_steps": ["Expand: 2x + 4 = 4x + 8", "Subtract 4x from both sides: -2x + 4 = 8", "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": "2(x + 2) = 4x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 4, \"e\": 8, \"x\": -2}", "seed": "2772756066984980225", "semantic_fingerprint": "sha256:e29c37f02039e97545a81fe2c98ef0b5a70e47213f4e167d714894fc90de29f2", "generator_version": "3.0"}
{"id": "v3_val_00005050", "prompt": "Solve for x: 5(x - 106) - 7 = -12x - 316", "solution_steps": ["Expand: 5x - 530 - 7 = -12x - 316", "Combine constants: 5x - 537 = -12x - 316", "Add 12x to both sides: 17x - 537 = -316", "Add 537 to both sides: 17x = 221", "Divide both sides by 17: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 106) - 7 = -12x - 316", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 106, \"c\": 7, \"d\": -12, \"f\": -316, \"x\": 13}", "seed": "17337209655829669260", "semantic_fingerprint": "sha256:30e1f126abbea08eb877a145cf4fd5b48544302f82f2ec0220330644e6f75565", "generator_version": "3.0"}
{"id": "v3_val_00005051", "prompt": "Calculate: 557 + 456 - (-609)", "solution_steps": ["Add: 557 + 456 = 1013", "Subtract: 1013 - (-609) = 1622"], "final_answer": "1622", "answer_type": "integer", "kind": "expression", "math_text": "557 + 456 - (-609)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 557, \"b\": 456, \"c\": -609}", "seed": "16142739838216893146", "semantic_fingerprint": "sha256:02d4e28fd63a28c0daac8800bb7434c3ec67cc83ba945f2c0b160f48c7da9d70", "generator_version": "3.0"}
{"id": "v3_val_00005052", "prompt": "Compute: 0 / (-2) - 40", "solution_steps": ["Divide: 0 / (-2) = 0", "Subtract: 0 - 40 = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-2) - 40", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": 40}", "seed": "422852273251945604", "semantic_fingerprint": "sha256:35b1d4486ecb77a26397467298d132dd7458a4f40a69dd8b207c949652064c3f", "generator_version": "3.0"}
{"id": "v3_val_00005053", "prompt": "Find x: -5(x + 6) - 115 = 10(x - 4)", "solution_steps": ["Expand: -5x - 30 - 115 = 10(x - 4)", "Expand: -5x - 30 - 115 = 10x - 40", "Combine constants: -5x - 145 = 10x - 40", "Subtract 10x from both sides: -15x - 145 = -40", "Add 145 to both sides: -15x = 105", "Divide both sides by -15: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 6) - 115 = 10(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 10, \"d\": 4, \"f\": -115, \"x\": -7}", "seed": "17452315510206763789", "semantic_fingerprint": "sha256:8d581c5f699f51acdc2905a8b26a7432135ca3181a754c6e9b7aad821767ea9a", "generator_version": "3.0"}
{"id": "v3_val_00005054", "prompt": "Calculate: 54 - 156 - (924 - (-70) + (-4 - (-94)))", "solution_steps": ["Subtract: 54 - 156 = -102", "Subtract: 924 - (-70) = 994", "Subtract: -4 - (-94) = 90", "Add: 994 + 90 = 1084", "Subtract: -102 - 1084 = -1186"], "final_answer": "-1186", "answer_type": "integer", "kind": "expression", "math_text": "54 - 156 - (924 - (-70) + (-4 - (-94)))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 156, \"c\": 924, \"d\": -70, \"e\": -4, \"f\": -94}", "seed": "15441712594872768520", "semantic_fingerprint": "sha256:fee4f4c229aa2604cca0bca8cdcea00a6b11a7f0c233bd27a7272247bc44cde5", "generator_version": "3.0"}
{"id": "v3_val_00005055", "prompt": "Evaluate: -35 * (-56) + (-16)", "solution_steps": ["Multiply: -35 * (-56) = 1960", "Add: 1960 + (-16) = 1944"], "final_answer": "1944", "answer_type": "integer", "kind": "expression", "math_text": "-35 * (-56) + (-16)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -56, \"c\": -16}", "seed": "3430915141998954141", "semantic_fingerprint": "sha256:8f973b8d28554ed8223e9066b16df65dc72aa7ab45ffbae4ea52da464a393897", "generator_version": "3.0"}
{"id": "v3_val_00005056", "prompt": "Compute: 58 / (5 * (0 - 1))", "solution_steps": ["Subtract: 0 - 1 = -1", "Multiply: 5 * (-1) = -5", "Divide: 58 / (-5) = -58/5"], "final_answer": "-58/5", "answer_type": "rational", "kind": "expression", "math_text": "58 / (5 * (0 - 1))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 5, \"c\": 0, \"d\": 1}", "seed": "13867939130639867524", "semantic_fingerprint": "sha256:d04c6d7e8fba59ad035d6190530f3a3507fb3cf9a51742c133e27a05a6e388b6", "generator_version": "3.0"}
{"id": "v3_val_00005057", "prompt": "Find x: x - 430 = 4x", "solution_steps": ["Subtract 4x from both sides: -3x - 430 = 0", "Add 430 to both sides: -3x = 430", "Divide both sides by -3: x = -430/3"], "final_answer": "-430/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 430 = 4x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 430, \"b\": 4}", "seed": "11377698553380509122", "semantic_fingerprint": "sha256:908a0af3f121492baa22344b626ca8c16431a295ee0b3646d728bde7af35dd18", "generator_version": "3.0"}
{"id": "v3_val_00005058", "prompt": "Solve for x: 8(x - 39) = 11(x + 481) + 296", "solution_steps": ["Expand: 8x - 312 = 11(x + 481) + 296", "Expand: 8x - 312 = 11x + 5291 + 296", "Combine constants: 8x - 312 = 11x + 5587", "Subtract 11x from both sides: -3x - 312 = 5587", "Add 312 to both sides: -3x = 5899", "Divide both sides by -3: x = -5899/3"], "final_answer": "-5899/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 39) = 11(x + 481) + 296", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 39, \"c\": 11, \"d\": 481, \"e\": 296}", "seed": "1736733372795535367", "semantic_fingerprint": "sha256:43e4f5c31f7c7ace11eed111cf7498d7a710d6e351f09d01e61d900f21924ec3", "generator_version": "3.0"}
{"id": "v3_val_00005059", "prompt": "Solve for x: 4x = 40", "solution_steps": ["Divide both sides by 4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 40", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": 40, \"x\": 10}", "seed": "2675326083663726514", "semantic_fingerprint": "sha256:7887bec1a91bccdabf84be586ac7625eaa5fe75ae5e94a7c2749fc83e28cb587", "generator_version": "3.0"}
{"id": "v3_val_00005060", "prompt": "Compute: -8 / 65 * 55", "solution_steps": ["Divide: -8 / 65 = -8/65", "Multiply: (-8/65) * 55 = -88/13"], "final_answer": "-88/13", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 65 * 55", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 65, \"c\": 55}", "seed": "13370827296849274236", "semantic_fingerprint": "sha256:b28e509db839173368ea391bb54ebc049847999064f233a8647b2c387aec8017", "generator_version": "3.0"}
{"id": "v3_val_00005061", "prompt": "Compute: 81 * (-88 / (-89 + 3)) / (-4)", "solution_steps": ["Add: -89 + 3 = -86", "Divide: -88 / (-86) = 44/43", "Multiply: 81 * (44/43) = 3564/43", "Divide: (3564/43) / (-4) = -891/43"], "final_answer": "-891/43", "answer_type": "rational", "kind": "expression", "math_text": "81 * (-88 / (-89 + 3)) / (-4)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (/ n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -88, \"c\": -89, \"d\": 3, \"e\": -4}", "seed": "8841672864330617262", "semantic_fingerprint": "sha256:733f31aa38393a46d3099b793f3265cf1e23563e34f5c9b1d8ce2ea1414c3209", "generator_version": "3.0"}
{"id": "v3_val_00005062", "prompt": "What is -1 - 91 / 105?", "solution_steps": ["Divide: 91 / 105 = 13/15", "Subtract: -1 - 13/15 = -28/15"], "final_answer": "-28/15", "answer_type": "rational", "kind": "expression", "math_text": "-1 - 91 / 105", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 91, \"c\": 105}", "seed": "14252231852224447176", "semantic_fingerprint": "sha256:2f4fa0de77dcc3b7a553242d644514ea7eb2e5f2606730f5e13128c6e2090d0e", "generator_version": "3.0"}
{"id": "v3_val_00005063", "prompt": "Calculate: 868 / (610 / (-439 / (-42)))", "solution_steps": ["Divide: -439 / (-42) = 439/42", "Divide: 610 / (439/42) = 25620/439", "Divide: 868 / (25620/439) = 13609/915"], "final_answer": "13609/915", "answer_type": "rational", "kind": "expression", "math_text": "868 / (610 / (-439 / (-42)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 868, \"b\": 610, \"c\": -439, \"d\": -42}", "seed": "10069310067500996428", "semantic_fingerprint": "sha256:d33f8f8d94a1546066a689e9fb514185164fb964e169d956810826cce0ebdf39", "generator_version": "3.0"}
{"id": "v3_val_00005064", "prompt": "Evaluate: ((-391 + (-47)) / 47 + 4) / (-4)", "solution_steps": ["Add: -391 + (-47) = -438", "Divide: -438 / 47 = -438/47", "Add: -438/47 + 4 = -250/47", "Divide: (-250/47) / (-4) = 125/94"], "final_answer": "125/94", "answer_type": "rational", "kind": "expression", "math_text": "((-391 + (-47)) / 47 + 4) / (-4)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -391, \"b\": -47, \"c\": 47, \"d\": 4, \"e\": -4}", "seed": "1969053778129785813", "semantic_fingerprint": "sha256:2f0b4f3f36ac41cef923d3ec26804b29561689356a8689a35f6b3748a9c59614", "generator_version": "3.0"}
{"id": "v3_val_00005065", "prompt": "Calculate: -4 * (-8) * (-21 + (-7) / 5)", "solution_steps": ["Multiply: -4 * (-8) = 32", "Divide: -7 / 5 = -7/5", "Add: -21 + (-7/5) = -112/5", "Multiply: 32 * (-112/5) = -3584/5"], "final_answer": "-3584/5", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (-8) * (-21 + (-7) / 5)", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -8, \"c\": -21, \"d\": -7, \"e\": 5}", "seed": "15391360680063640542", "semantic_fingerprint": "sha256:1cdf315f29006b6087c99d833216577522cb1e525f3345277ce88df5bdd233c4", "generator_version": "3.0"}
{"id": "v3_val_00005066", "prompt": "Calculate: 74 - (-5) + (-3) / 478 + 12 / (-4)", "solution_steps": ["Subtract: 74 - (-5) = 79", "Divide: -3 / 478 = -3/478", "Add: 79 + (-3/478) = 37759/478", "Divide: 12 / (-4) = -3", "Add: 37759/478 + (-3) = 36325/478"], "final_answer": "36325/478", "answer_type": "rational", "kind": "expression", "math_text": "74 - (-5) + (-3) / 478 + 12 / (-4)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -5, \"c\": -3, \"d\": 478, \"e\": 12, \"f\": -4}", "seed": "9908381079907205878", "semantic_fingerprint": "sha256:06092623f888c0ec3bce1e6ba07e6dc2d92871f085738302b467d0a031193235", "generator_version": "3.0"}
{"id": "v3_val_00005067", "prompt": "Find x: 2(x - 21) + 8 = x - 28", "solution_steps": ["Expand: 2x - 42 + 8 = x - 28", "Combine constants: 2x - 34 = x - 28", "Subtract x from both sides: x - 34 = -28", "Add 34 to both sides: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 21) + 8 = x - 28", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 21, \"c\": 8, \"e\": -28, \"x\": 6}", "seed": "10689155014129906067", "semantic_fingerprint": "sha256:b517e703e25291e00f557fd4bf26fac9ae14c427c06a0b13a457a9bd2e70100a", "generator_version": "3.0"}
{"id": "v3_val_00005068", "prompt": "Find x: 3(x + 8) - 200 = -2x + 72", "solution_steps": ["Expand: 3x + 24 - 200 = -2x + 72", "Combine constants: 3x - 176 = -2x + 72", "Add 2x to both sides: 5x - 176 = 72", "Add 176 to both sides: 5x = 248", "Divide both sides by 5: x = 248/5"], "final_answer": "248/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 8) - 200 = -2x + 72", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 200, \"d\": -2, \"e\": 72}", "seed": "16916268593591347983", "semantic_fingerprint": "sha256:05edfc57dafe4d123ebb56beb2456c5390753c64ddf614cb575c6c90b028ade4", "generator_version": "3.0"}
{"id": "v3_val_00005069", "prompt": "What is -5 * ((5 - (-4)) / 8) / (-96 / 823)?", "solution_steps": ["Subtract: 5 - (-4) = 9", "Divide: 9 / 8 = 9/8", "Multiply: -5 * (9/8) = -45/8", "Divide: -96 / 823 = -96/823", "Divide: (-45/8) / (-96/823) = 12345/256"], "final_answer": "12345/256", "answer_type": "rational", "kind": "expression", "math_text": "-5 * ((5 - (-4)) / 8) / (-96 / 823)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (/ (- n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": -4, \"d\": 8, \"e\": -96, \"f\": 823}", "seed": "5329189135477306289", "semantic_fingerprint": "sha256:8e3c6813e6c9418c237c68619bdc5fc2b6c2790e5f82f251a20e214eac03f691", "generator_version": "3.0"}
{"id": "v3_val_00005070", "prompt": "Calculate: 249 + 159", "solution_steps": ["Add: 249 + 159 = 408"], "final_answer": "408", "answer_type": "integer", "kind": "expression", "math_text": "249 + 159", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 249, \"b\": 159}", "seed": "17072814091041841749", "semantic_fingerprint": "sha256:ec78b8363e47ee8cabb12e79e926dd7706931aa1c4bdcca2e7e4fcd21f250c3f", "generator_version": "3.0"}
{"id": "v3_val_00005071", "prompt": "Solve the equation 11x = -3(x - 5) + 41 for x.", "solution_steps": ["Expand: 11x = -3x + 15 + 41", "Combine constants: 11x = -3x + 56", "Add 3x to both sides: 14x = 56", "Divide both sides by 14: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -3(x - 5) + 41", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -3, \"c\": 5, \"e\": 41, \"x\": 4}", "seed": "6311708938048226958", "semantic_fingerprint": "sha256:20a96a5e3cb5aa5951c54d16a7723864a6a4beff26abc97daa6930f647cec9d9", "generator_version": "3.0"}
{"id": "v3_val_00005072", "prompt": "Solve for x: -3x + 117 = 3(x + 13)", "solution_steps": ["Expand: -3x + 117 = 3x + 39", "Subtract 3x from both sides: -6x + 117 = 39", "Subtract 117 from both sides: -6x = -78", "Divide both sides by -6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 117 = 3(x + 13)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": 13, \"e\": 117, \"x\": 13}", "seed": "10977758968642533560", "semantic_fingerprint": "sha256:5bb7dfa0723bc002890a49a454ff01361d5ae9b037d825bdeeeaebe41522e8b2", "generator_version": "3.0"}
{"id": "v3_val_00005073", "prompt": "Solve for x: 7(x + 4) = x", "solution_steps": ["Expand: 7x + 28 = x", "Subtract x from both sides: 6x + 28 = 0", "Subtract 28 from both sides: 6x = -28", "Divide both sides by 6: x = -14/3"], "final_answer": "-14/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 4) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4}", "seed": "15227566490739024428", "semantic_fingerprint": "sha256:e10cf31ee49f61440c6b97725bee1290279f84df9febc5020c5947ffe9632e71", "generator_version": "3.0"}
{"id": "v3_val_00005074", "prompt": "Compute: 4 + (-50) - 55 * (-63 * 75)", "solution_steps": ["Add: 4 + (-50) = -46", "Multiply: -63 * 75 = -4725", "Multiply: 55 * (-4725) = -259875", "Subtract: -46 - (-259875) = 259829"], "final_answer": "259829", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-50) - 55 * (-63 * 75)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -50, \"c\": 55, \"d\": -63, \"e\": 75}", "seed": "10009544978984646749", "semantic_fingerprint": "sha256:eea35bc5a6db3d69f1a4699a47013daac189b70e1c81bcfe4dfed91f7b49ff11", "generator_version": "3.0"}
{"id": "v3_val_00005075", "prompt": "Compute: -21 / ((-58 - (-55)) * (-208))", "solution_steps": ["Subtract: -58 - (-55) = -3", "Multiply: -3 * (-208) = 624", "Divide: -21 / 624 = -7/208"], "final_answer": "-7/208", "answer_type": "rational", "kind": "expression", "math_text": "-21 / ((-58 - (-55)) * (-208))", "variable": null, "family": "expression_3op", "shape": "(/ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -58, \"c\": -55, \"d\": -208}", "seed": "12017999763292115385", "semantic_fingerprint": "sha256:686b22e1a0a1d7001aba4a0905ac7851b561967575fa06fb54c8fbd516b64a6b", "generator_version": "3.0"}
{"id": "v3_val_00005076", "prompt": "Calculate: -2 + (36 + (-3))", "solution_steps": ["Add: 36 + (-3) = 33", "Add: -2 + 33 = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (36 + (-3))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 36, \"c\": -3}", "seed": "15911213506360045961", "semantic_fingerprint": "sha256:6ae1de5c65deea684d17536b27b0ac82656762164b98d7ed9c5878c86c85ec0b", "generator_version": "3.0"}
{"id": "v3_val_00005077", "prompt": "Calculate: 5 - (-372) + (-7)", "solution_steps": ["Subtract: 5 - (-372) = 377", "Add: 377 + (-7) = 370"], "final_answer": "370", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-372) + (-7)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -372, \"c\": -7}", "seed": "7203360298624491347", "semantic_fingerprint": "sha256:991a20a6bcab5744faa89400878eb0ff36655174fe3ed7ed2871830d33ce319a", "generator_version": "3.0"}
{"id": "v3_val_00005078", "prompt": "Solve for x: -5(x + 2) + 996 = 11x + 794", "solution_steps": ["Expand: -5x - 10 + 996 = 11x + 794", "Combine constants: -5x + 986 = 11x + 794", "Subtract 11x from both sides: -16x + 986 = 794", "Subtract 986 from both sides: -16x = -192", "Divide both sides by -16: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 2) + 996 = 11x + 794", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 996, \"d\": 11, \"f\": 794, \"x\": 12}", "seed": "7698944908947247241", "semantic_fingerprint": "sha256:ae07f9df171e124d1b1e1be1b2bedf1dd3b51931438a78df47cbcac0a53e7d1e", "generator_version": "3.0"}
{"id": "v3_val_00005079", "prompt": "Calculate: 127 / (-662)", "solution_steps": ["Divide: 127 / (-662) = -127/662"], "final_answer": "-127/662", "answer_type": "rational", "kind": "expression", "math_text": "127 / (-662)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 127, \"b\": -662}", "seed": "12540822331375030081", "semantic_fingerprint": "sha256:94041b7fec434002307292a7bec46fe1d2557780a2a6408ab4eb65ef52ed64b7", "generator_version": "3.0"}
{"id": "v3_val_00005080", "prompt": "Calculate: 278 - (29 + 45) * 88", "solution_steps": ["Add: 29 + 45 = 74", "Multiply: 74 * 88 = 6512", "Subtract: 278 - 6512 = -6234"], "final_answer": "-6234", "answer_type": "integer", "kind": "expression", "math_text": "278 - (29 + 45) * 88", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 278, \"b\": 29, \"c\": 45, \"d\": 88}", "seed": "13226357590275293456", "semantic_fingerprint": "sha256:c873224076367e208824d8024b838870a6ecd15f7032fc69764259cecd9df57b", "generator_version": "3.0"}
{"id": "v3_val_00005081", "prompt": "Solve for x: -5(x + 27) - 67 = 7(x - 92) + 406", "solution_steps": ["Expand: -5x - 135 - 67 = 7(x - 92) + 406", "Expand: -5x - 135 - 67 = 7x - 644 + 406", "Combine constants: -5x - 202 = 7x - 644 + 406", "Combine constants: -5x - 202 = 7x - 238", "Subtract 7x from both sides: -12x - 202 = -238", "Add 202 to both sides: -12x = -36", "Divide both sides by -12: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 27) - 67 = 7(x - 92) + 406", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 27, \"c\": 67, \"d\": 7, \"e\": 92, \"g\": 406, \"x\": 3}", "seed": "10579479075660098474", "semantic_fingerprint": "sha256:a63dafcb4b51d50e94ea0d272c2d8cc8e605c9d546590b7bfabf1deaf3d2fbd9", "generator_version": "3.0"}
{"id": "v3_val_00005082", "prompt": "What is (-9 - 8 * (-5)) * 15 / (-4) / (-4)?", "solution_steps": ["Multiply: 8 * (-5) = -40", "Subtract: -9 - (-40) = 31", "Multiply: 31 * 15 = 465", "Divide: 465 / (-4) = -465/4", "Divide: (-465/4) / (-4) = 465/16"], "final_answer": "465/16", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - 8 * (-5)) * 15 / (-4) / (-4)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* (- n (* n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 8, \"c\": -5, \"d\": 15, \"e\": -4, \"f\": -4}", "seed": "4179556888208237135", "semantic_fingerprint": "sha256:87cfb9ed437a3f823da9d664756c65bdb75e8f7287047ad4ac0ad8c5393f8315", "generator_version": "3.0"}
{"id": "v3_val_00005083", "prompt": "What value of x satisfies 6(x - 16) - 332 = -10x - 172?", "solution_steps": ["Expand: 6x - 96 - 332 = -10x - 172", "Combine constants: 6x - 428 = -10x - 172", "Add 10x to both sides: 16x - 428 = -172", "Add 428 to both sides: 16x = 256", "Divide both sides by 16: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 16) - 332 = -10x - 172", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 16, \"c\": 332, \"d\": -10, \"f\": -172, \"x\": 16}", "seed": "10057971930868728227", "semantic_fingerprint": "sha256:37e1925295a45b6fae4120e018c95e1124135861c4fee0f9ae2b2b8d4259e43f", "generator_version": "3.0"}
{"id": "v3_val_00005084", "prompt": "Calculate: 70 * (-659) / 6", "solution_steps": ["Multiply: 70 * (-659) = -46130", "Divide: -46130 / 6 = -23065/3"], "final_answer": "-23065/3", "answer_type": "rational", "kind": "expression", "math_text": "70 * (-659) / 6", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -659, \"c\": 6}", "seed": "15989393637983750895", "semantic_fingerprint": "sha256:c8eff442d25a10fcb9a0372fa0bc57174d27a7375e818d00ac4f97a19af4529a", "generator_version": "3.0"}
{"id": "v3_val_00005085", "prompt": "Compute: -21 * (8 + (-60))", "solution_steps": ["Add: 8 + (-60) = -52", "Multiply: -21 * (-52) = 1092"], "final_answer": "1092", "answer_type": "integer", "kind": "expression", "math_text": "-21 * (8 + (-60))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 8, \"c\": -60}", "seed": "18212143321553297815", "semantic_fingerprint": "sha256:862c9d2871f60c8865d8777c1ac118c2b0b8e026c41547fe4457e200d0784633", "generator_version": "3.0"}
{"id": "v3_val_00005086", "prompt": "Compute: -3 - (-22) - 19", "solution_steps": ["Subtract: -3 - (-22) = 19", "Subtract: 19 - 19 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-22) - 19", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -22, \"c\": 19}", "seed": "8723966779517260876", "semantic_fingerprint": "sha256:6b9f44a523884c58fffa5e17d1119578c598d5e4d2a891484f32fb3641988356", "generator_version": "3.0"}
{"id": "v3_val_00005087", "prompt": "Solve for x: -2(x - 9) + 3 = x - 21", "solution_steps": ["Expand: -2x + 18 + 3 = x - 21", "Combine constants: -2x + 21 = x - 21", "Subtract x from both sides: -3x + 21 = -21", "Subtract 21 from both sides: -3x = -42", "Divide both sides by -3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 9) + 3 = x - 21", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": 3, \"e\": -21, \"x\": 14}", "seed": "9738821292266536802", "semantic_fingerprint": "sha256:ee2eb712dbedb43f1b082739a099b121e5f71cf39930e71a9e08eb4965fad874", "generator_version": "3.0"}
{"id": "v3_val_00005088", "prompt": "What value of x satisfies x = 7(x + 91)?", "solution_steps": ["Expand: x = 7x + 637", "Subtract 7x from both sides: -6x = 637", "Divide both sides by -6: x = -637/6"], "final_answer": "-637/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x + 91)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 91}", "seed": "17139715225470054105", "semantic_fingerprint": "sha256:de89cf70371df6ed3f5a5e6891034d752d9394749e5df4d832593e4038b41f61", "generator_version": "3.0"}
{"id": "v3_val_00005089", "prompt": "Find x: 4(x - 3) = x - 6", "solution_steps": ["Expand: 4x - 12 = x - 6", "Subtract x from both sides: 3x - 12 = -6", "Add 12 to both sides: 3x = 6", "Divide both sides by 3: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 3) = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"d\": -6, \"x\": 2}", "seed": "14703769628627017078", "semantic_fingerprint": "sha256:aed085d797a94ce3858400c74d2d3d16e11a197dabd78d4ec2d074f959b35123", "generator_version": "3.0"}
{"id": "v3_val_00005090", "prompt": "What is -168 * (19 + (-40))?", "solution_steps": ["Add: 19 + (-40) = -21", "Multiply: -168 * (-21) = 3528"], "final_answer": "3528", "answer_type": "integer", "kind": "expression", "math_text": "-168 * (19 + (-40))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -168, \"b\": 19, \"c\": -40}", "seed": "8407931783079119752", "semantic_fingerprint": "sha256:84b1134c4c830acbbe223a1ea5fb3f853e766ebbca968e16e9dad002e0fc4472", "generator_version": "3.0"}
{"id": "v3_val_00005091", "prompt": "Solve for x: 11x = 3(x - 702)", "solution_steps": ["Expand: 11x = 3x - 2106", "Subtract 3x from both sides: 8x = -2106", "Divide both sides by 8: x = -1053/4"], "final_answer": "-1053/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = 3(x - 702)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 702}", "seed": "4973979227735418701", "semantic_fingerprint": "sha256:68ccadf2d8202f742bdaf55b5ab63968c75e4bd5318f3b376827feec663647db", "generator_version": "3.0"}
{"id": "v3_val_00005092", "prompt": "Compute: -47 * (-9)", "solution_steps": ["Multiply: -47 * (-9) = 423"], "final_answer": "423", "answer_type": "integer", "kind": "expression", "math_text": "-47 * (-9)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": -9}", "seed": "2292739865259399443", "semantic_fingerprint": "sha256:e8402d75fb4398b59b6ef1173a5bc05bd968806dbfb1fe95a4de0c9ac7284c1a", "generator_version": "3.0"}
{"id": "v3_val_00005093", "prompt": "What is -92 * (-385 + 948)?", "solution_steps": ["Add: -385 + 948 = 563", "Multiply: -92 * 563 = -51796"], "final_answer": "-51796", "answer_type": "integer", "kind": "expression", "math_text": "-92 * (-385 + 948)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -385, \"c\": 948}", "seed": "18321187643087434179", "semantic_fingerprint": "sha256:f23c2cef7fb46dfa668621f07426eb69b76e538e973d59664f8086f8b99f90df", "generator_version": "3.0"}
{"id": "v3_val_00005094", "prompt": "Compute: 3 - 7 / 93 + 3", "solution_steps": ["Divide: 7 / 93 = 7/93", "Subtract: 3 - 7/93 = 272/93", "Add: 272/93 + 3 = 551/93"], "final_answer": "551/93", "answer_type": "rational", "kind": "expression", "math_text": "3 - 7 / 93 + 3", "variable": null, "family": "expression_3op", "shape": "(+ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 93, \"d\": 3}", "seed": "13462049897488249412", "semantic_fingerprint": "sha256:bc9aa87994ab6b9ea9518b7b1b7089339e8dfb87fd2dd1b369383ee0074dbcdf", "generator_version": "3.0"}
{"id": "v3_val_00005095", "prompt": "Evaluate: -820 * (-240 - 0) / (-388 / 3)", "solution_steps": ["Subtract: -240 - 0 = -240", "Multiply: -820 * (-240) = 196800", "Divide: -388 / 3 = -388/3", "Divide: 196800 / (-388/3) = -147600/97"], "final_answer": "-147600/97", "answer_type": "rational", "kind": "expression", "math_text": "-820 * (-240 - 0) / (-388 / 3)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -820, \"b\": -240, \"c\": 0, \"d\": -388, \"e\": 3}", "seed": "13315268683732610417", "semantic_fingerprint": "sha256:3bb859104e59d30b2e3ada771b9805f7a21ab8b269b15699784d72ca45acce34", "generator_version": "3.0"}
{"id": "v3_val_00005096", "prompt": "Solve the equation 3(x + 48) + 7 = 930 for x.", "solution_steps": ["Expand: 3x + 144 + 7 = 930", "Combine constants: 3x + 151 = 930", "Subtract 151 from both sides: 3x = 779", "Divide both sides by 3: x = 779/3"], "final_answer": "779/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 48) + 7 = 930", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 48, \"c\": 7, \"d\": 930}", "seed": "7444072687443354032", "semantic_fingerprint": "sha256:003198db29159bb5f7c485f0e1658573de96a1286b37df0da51778b4dedcd8f5", "generator_version": "3.0"}
{"id": "v3_val_00005097", "prompt": "Calculate: 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": "14870435834671111758", "semantic_fingerprint": "sha256:8f50cdcd32862d85547550571ffcfa97719db21ddf39c05b1ff6cc319a8519fd", "generator_version": "3.0"}
{"id": "v3_val_00005098", "prompt": "What is 8 + (-757 + 4) / 520 * (-7)?", "solution_steps": ["Add: -757 + 4 = -753", "Divide: -753 / 520 = -753/520", "Multiply: (-753/520) * (-7) = 5271/520", "Add: 8 + 5271/520 = 9431/520"], "final_answer": "9431/520", "answer_type": "rational", "kind": "expression", "math_text": "8 + (-757 + 4) / 520 * (-7)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -757, \"c\": 4, \"d\": 520, \"e\": -7}", "seed": "12861480087478858460", "semantic_fingerprint": "sha256:730e89ea5a22cfabdb7974cafde9833cbbf4b7b08a687d14c2d028aa0b2cdf17", "generator_version": "3.0"}
{"id": "v3_val_00005099", "prompt": "Evaluate: -985 - 9 - (953 - (-30 - (-61)))", "solution_steps": ["Subtract: -985 - 9 = -994", "Subtract: -30 - (-61) = 31", "Subtract: 953 - 31 = 922", "Subtract: -994 - 922 = -1916"], "final_answer": "-1916", "answer_type": "integer", "kind": "expression", "math_text": "-985 - 9 - (953 - (-30 - (-61)))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -985, \"b\": 9, \"c\": 953, \"d\": -30, \"e\": -61}", "seed": "3152635099339345822", "semantic_fingerprint": "sha256:d4f8e6043d5ef9f63f1cd24ce7e00718849b33ea34c3c30741d72ddbe8b03de6", "generator_version": "3.0"}
{"id": "v3_val_00005100", "prompt": "Compute: (-2 + (-2 + (-35))) * (-3 + 37)", "solution_steps": ["Add: -2 + (-35) = -37", "Add: -2 + (-37) = -39", "Add: -3 + 37 = 34", "Multiply: -39 * 34 = -1326"], "final_answer": "-1326", "answer_type": "integer", "kind": "expression", "math_text": "(-2 + (-2 + (-35))) * (-3 + 37)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -2, \"c\": -35, \"d\": -3, \"e\": 37}", "seed": "1014664790978405510", "semantic_fingerprint": "sha256:fa9342f51ab287f777c1db1584a8482fdadc69e9a33d349cd559a63e98e73014", "generator_version": "3.0"}
{"id": "v3_val_00005101", "prompt": "Evaluate: 986 / (-732) * 7", "solution_steps": ["Divide: 986 / (-732) = -493/366", "Multiply: (-493/366) * 7 = -3451/366"], "final_answer": "-3451/366", "answer_type": "rational", "kind": "expression", "math_text": "986 / (-732) * 7", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 986, \"b\": -732, \"c\": 7}", "seed": "9403329506807534232", "semantic_fingerprint": "sha256:cf6f336a4c2ec25e660aa02a1520e461de1787eb38967bed9646c05512ed1989", "generator_version": "3.0"}
{"id": "v3_val_00005102", "prompt": "Calculate: (6 + (-343)) * (96 + (-21))", "solution_steps": ["Add: 6 + (-343) = -337", "Add: 96 + (-21) = 75", "Multiply: -337 * 75 = -25275"], "final_answer": "-25275", "answer_type": "integer", "kind": "expression", "math_text": "(6 + (-343)) * (96 + (-21))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -343, \"c\": 96, \"d\": -21}", "seed": "16177325426895589033", "semantic_fingerprint": "sha256:4db88dfd91c1e656028d2efb747d738127a1478a6ca7b746c65e8b1aa7d45ce8", "generator_version": "3.0"}
{"id": "v3_val_00005103", "prompt": "Find x: 11x - 17 = 3(x - 7) - 4", "solution_steps": ["Expand: 11x - 17 = 3x - 21 - 4", "Combine constants: 11x - 17 = 3x - 25", "Subtract 3x from both sides: 8x - 17 = -25", "Add 17 to both sides: 8x = -8", "Divide both sides by 8: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 17 = 3(x - 7) - 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 17, \"c\": 3, \"d\": 7, \"e\": 4}", "seed": "17406089138787534975", "semantic_fingerprint": "sha256:454c292dec0053aa087b634c90980b7a674123637e1a545c5c14b4e9c179a13b", "generator_version": "3.0"}
{"id": "v3_val_00005104", "prompt": "Evaluate: -76 - 97", "solution_steps": ["Subtract: -76 - 97 = -173"], "final_answer": "-173", "answer_type": "integer", "kind": "expression", "math_text": "-76 - 97", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 97}", "seed": "9803753013638744201", "semantic_fingerprint": "sha256:b01c6c91a954ab8a0a2b0f63d82dbea5b1ab69fb8b0fa9d4c86bfdfcdff74b35", "generator_version": "3.0"}
{"id": "v3_val_00005105", "prompt": "Solve for x: -8(x - 63) = 10(x + 2) + 646", "solution_steps": ["Expand: -8x + 504 = 10(x + 2) + 646", "Expand: -8x + 504 = 10x + 20 + 646", "Combine constants: -8x + 504 = 10x + 666", "Subtract 10x from both sides: -18x + 504 = 666", "Subtract 504 from both sides: -18x = 162", "Divide both sides by -18: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 63) = 10(x + 2) + 646", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 63, \"c\": 10, \"d\": 2, \"f\": 646, \"x\": -9}", "seed": "11842540710951641020", "semantic_fingerprint": "sha256:9b85367b23a8403c9e0e8b38eed0bd7d15980838f7fa0afc23e4216132e062f2", "generator_version": "3.0"}
{"id": "v3_val_00005106", "prompt": "Solve for x: x + 14 = -2x + 3", "solution_steps": ["Add 2x to both sides: 3x + 14 = 3", "Subtract 14 from both sides: 3x = -11", "Divide both sides by 3: x = -11/3"], "final_answer": "-11/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 14 = -2x + 3", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -2, \"c\": 3}", "seed": "8237171272830548562", "semantic_fingerprint": "sha256:36ecd1ab30d514fbaee19b102c921757c495e99302a45f05395a3d927636afc0", "generator_version": "3.0"}
{"id": "v3_val_00005107", "prompt": "Calculate: (-78 / 42 + (-9)) / (-82)", "solution_steps": ["Divide: -78 / 42 = -13/7", "Add: -13/7 + (-9) = -76/7", "Divide: (-76/7) / (-82) = 38/287"], "final_answer": "38/287", "answer_type": "rational", "kind": "expression", "math_text": "(-78 / 42 + (-9)) / (-82)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 42, \"c\": -9, \"d\": -82}", "seed": "10850956290827555633", "semantic_fingerprint": "sha256:337d5e4b062c1b1105ddfd8e9bb08c49522e502057cf50359edef06d9e7b12f4", "generator_version": "3.0"}
{"id": "v3_val_00005108", "prompt": "Evaluate: -963 * (4 - 5)", "solution_steps": ["Subtract: 4 - 5 = -1", "Multiply: -963 * (-1) = 963"], "final_answer": "963", "answer_type": "integer", "kind": "expression", "math_text": "-963 * (4 - 5)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -963, \"b\": 4, \"c\": 5}", "seed": "9653497414462738433", "semantic_fingerprint": "sha256:c4e3cce0f1a860245ca43862b8891227ccf503a431385df869bce91e2d1c1e4b", "generator_version": "3.0"}
{"id": "v3_val_00005109", "prompt": "What is -40 * (-422 / 530)?", "solution_steps": ["Divide: -422 / 530 = -211/265", "Multiply: -40 * (-211/265) = 1688/53"], "final_answer": "1688/53", "answer_type": "rational", "kind": "expression", "math_text": "-40 * (-422 / 530)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -422, \"c\": 530}", "seed": "3986547862059658953", "semantic_fingerprint": "sha256:639ac802b768905cca42ef916b4e4a058d9b6d06ee0223b73ffc7a01a4ed633f", "generator_version": "3.0"}
{"id": "v3_val_00005110", "prompt": "Compute: -50 - 15", "solution_steps": ["Subtract: -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": "13377045482366635724", "semantic_fingerprint": "sha256:412bf50bc832e55e4599e122d2ea6af2dca09be39f2d6e1da5958e130a308421", "generator_version": "3.0"}
{"id": "v3_val_00005111", "prompt": "Solve the equation 5x + 778 = 803 for x.", "solution_steps": ["Subtract 778 from both sides: 5x = 25", "Divide both sides by 5: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 778 = 803", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 778, \"d\": 803, \"x\": 5}", "seed": "8386307645112333412", "semantic_fingerprint": "sha256:eec06eb1d4e70699d0dfb4b20910b9818071bf6729adac3a0ae9e13e100822ba", "generator_version": "3.0"}
{"id": "v3_val_00005112", "prompt": "Compute: (90 / (-2) - 907 * (-3 + 9)) / 61", "solution_steps": ["Divide: 90 / (-2) = -45", "Add: -3 + 9 = 6", "Multiply: 907 * 6 = 5442", "Subtract: -45 - 5442 = -5487", "Divide: -5487 / 61 = -5487/61"], "final_answer": "-5487/61", "answer_type": "rational", "kind": "expression", "math_text": "(90 / (-2) - 907 * (-3 + 9)) / 61", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n n) (* n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -2, \"c\": 907, \"d\": -3, \"e\": 9, \"f\": 61}", "seed": "4766475826836858991", "semantic_fingerprint": "sha256:7c830becaf805b7983a824c7b8113c6d2fffe3cf1f6cf1826bb3049b679a9357", "generator_version": "3.0"}
{"id": "v3_val_00005113", "prompt": "Compute: -7 / (934 / 22) * (-8)", "solution_steps": ["Divide: 934 / 22 = 467/11", "Divide: -7 / (467/11) = -77/467", "Multiply: (-77/467) * (-8) = 616/467"], "final_answer": "616/467", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (934 / 22) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 934, \"c\": 22, \"d\": -8}", "seed": "14697971574579613728", "semantic_fingerprint": "sha256:d0f3ab3ccb58e61923942c194cac0f3b192c57a38136f655e01f9d33510bb215", "generator_version": "3.0"}
{"id": "v3_val_00005114", "prompt": "What is -5 / 11 / (-59 - (-8 - (-8)))?", "solution_steps": ["Divide: -5 / 11 = -5/11", "Subtract: -8 - (-8) = 0", "Subtract: -59 - 0 = -59", "Divide: (-5/11) / (-59) = 5/649"], "final_answer": "5/649", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 11 / (-59 - (-8 - (-8)))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 11, \"c\": -59, \"d\": -8, \"e\": -8}", "seed": "6402733614094614890", "semantic_fingerprint": "sha256:28258aa1c75dc9a932b6323deeeb608885928dfc51fee44d302915ec618c0a25", "generator_version": "3.0"}
{"id": "v3_val_00005115", "prompt": "What is 50 - (-4 + (-98) + (-2))?", "solution_steps": ["Add: -4 + (-98) = -102", "Add: -102 + (-2) = -104", "Subtract: 50 - (-104) = 154"], "final_answer": "154", "answer_type": "integer", "kind": "expression", "math_text": "50 - (-4 + (-98) + (-2))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -4, \"c\": -98, \"d\": -2}", "seed": "3889759853174308890", "semantic_fingerprint": "sha256:cc42966cfb5270ba002fe2828e20a15928e26117e464bcdacd040b69b491a336", "generator_version": "3.0"}
{"id": "v3_val_00005116", "prompt": "Find x: -2x = 9(x - 8)", "solution_steps": ["Expand: -2x = 9x - 72", "Subtract 9x 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": "-2x = 9(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": 8}", "seed": "11606244062935057567", "semantic_fingerprint": "sha256:aecc326cfd3a26aa79277c637da1cec07fec168d32d176ed85b28abc956802fd", "generator_version": "3.0"}
{"id": "v3_val_00005117", "prompt": "Evaluate: 95 / (97 / (-35)) - 72 + 22 / 52", "solution_steps": ["Divide: 97 / (-35) = -97/35", "Divide: 95 / (-97/35) = -3325/97", "Subtract: -3325/97 - 72 = -10309/97", "Divide: 22 / 52 = 11/26", "Add: -10309/97 + 11/26 = -266967/2522"], "final_answer": "-266967/2522", "answer_type": "rational", "kind": "expression", "math_text": "95 / (97 / (-35)) - 72 + 22 / 52", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n (/ n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 97, \"c\": -35, \"d\": 72, \"e\": 22, \"f\": 52}", "seed": "7129530562521503855", "semantic_fingerprint": "sha256:3fe47a1de6a861349b46a9803bbc8f24ca51959124eeb9132886e5acc6afd639", "generator_version": "3.0"}
{"id": "v3_val_00005118", "prompt": "Evaluate: (-4 + 5) / (8 + 0) + (-7)", "solution_steps": ["Add: -4 + 5 = 1", "Add: 8 + 0 = 8", "Divide: 1 / 8 = 1/8", "Add: 1/8 + (-7) = -55/8"], "final_answer": "-55/8", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + 5) / (8 + 0) + (-7)", "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\": -7}", "seed": "13943023031801535442", "semantic_fingerprint": "sha256:89ecd9a3026dfdd1cf194ab96c3a425ad3c4764d314890ba1170358c55bd4db8", "generator_version": "3.0"}
{"id": "v3_val_00005119", "prompt": "What value of x satisfies 4(x + 4) - 14 = 5x?", "solution_steps": ["Expand: 4x + 16 - 14 = 5x", "Combine constants: 4x + 2 = 5x", "Subtract 5x from both sides: -x + 2 = 0", "Subtract 2 from both sides: -x = -2", "Divide both sides by -1: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 4) - 14 = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 5, \"e\": -14, \"x\": 2}", "seed": "2176295430727596839", "semantic_fingerprint": "sha256:c063a537689d04bb0c02319c1bfd29e808948dbe7b41d3c3eb72721fd7683b88", "generator_version": "3.0"}
{"id": "v3_val_00005120", "prompt": "Evaluate: -112 / (-7)", "solution_steps": ["Divide: -112 / (-7) = 16"], "final_answer": "16", "answer_type": "integer", "kind": "expression", "math_text": "-112 / (-7)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -112, \"b\": -7}", "seed": "2205036914983289981", "semantic_fingerprint": "sha256:b1111846a5e1b54b2f988789eb233741107154ea2084816238df0ee2630a0b5c", "generator_version": "3.0"}
{"id": "v3_val_00005121", "prompt": "Compute: (-9 + 0) * (-7) + 56", "solution_steps": ["Add: -9 + 0 = -9", "Multiply: -9 * (-7) = 63", "Add: 63 + 56 = 119"], "final_answer": "119", "answer_type": "integer", "kind": "expression", "math_text": "(-9 + 0) * (-7) + 56", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 0, \"c\": -7, \"d\": 56}", "seed": "17595732957841162430", "semantic_fingerprint": "sha256:c41f300c677906e89e73c0d72b11bef68af5beb27cc7b4c9b9b79d2477290826", "generator_version": "3.0"}
{"id": "v3_val_00005122", "prompt": "What value of x satisfies 12x = 10x + 5?", "solution_steps": ["Subtract 10x 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": "12x = 10x + 5", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 10, \"c\": 5}", "seed": "17207066283154595957", "semantic_fingerprint": "sha256:45d4c792dc59f5c8dec5424688784c2a0ee40d28b8c7be9005dee61be7e1fd0a", "generator_version": "3.0"}
{"id": "v3_val_00005123", "prompt": "What is -84 - 79?", "solution_steps": ["Subtract: -84 - 79 = -163"], "final_answer": "-163", "answer_type": "integer", "kind": "expression", "math_text": "-84 - 79", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 79}", "seed": "8904246167665888477", "semantic_fingerprint": "sha256:ea729b93528bd92a4ba770f0a4748d65e0b2cf096f9079c41eb4cc58cb643ed9", "generator_version": "3.0"}
{"id": "v3_val_00005124", "prompt": "Calculate: -65 - (-7) / 20 + 174 / 9 + 24", "solution_steps": ["Divide: -7 / 20 = -7/20", "Subtract: -65 - (-7/20) = -1293/20", "Divide: 174 / 9 = 58/3", "Add: -1293/20 + 58/3 = -2719/60", "Add: -2719/60 + 24 = -1279/60"], "final_answer": "-1279/60", "answer_type": "rational", "kind": "expression", "math_text": "-65 - (-7) / 20 + 174 / 9 + 24", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n (/ n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -7, \"c\": 20, \"d\": 174, \"e\": 9, \"f\": 24}", "seed": "3446781469122314021", "semantic_fingerprint": "sha256:04391f25e64367c27ad8901834e99c7690bc12e518d7fdf69b59c9d18715b2b8", "generator_version": "3.0"}
{"id": "v3_val_00005125", "prompt": "What is 43 * (1 - (-67) / 21 - 7 / (-3))?", "solution_steps": ["Divide: -67 / 21 = -67/21", "Subtract: 1 - (-67/21) = 88/21", "Divide: 7 / (-3) = -7/3", "Subtract: 88/21 - (-7/3) = 137/21", "Multiply: 43 * (137/21) = 5891/21"], "final_answer": "5891/21", "answer_type": "rational", "kind": "expression", "math_text": "43 * (1 - (-67) / 21 - 7 / (-3))", "variable": null, "family": "expression_5op", "shape": "(* n (- (- n (/ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 1, \"c\": -67, \"d\": 21, \"e\": 7, \"f\": -3}", "seed": "16627051412843657814", "semantic_fingerprint": "sha256:a2fde32e4e43de23f73ba078c63dd91566c0384d593010e57130675ab0171858", "generator_version": "3.0"}
{"id": "v3_val_00005126", "prompt": "Evaluate: -152 + 60", "solution_steps": ["Add: -152 + 60 = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "expression", "math_text": "-152 + 60", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -152, \"b\": 60}", "seed": "2278676857481478195", "semantic_fingerprint": "sha256:4607e0802927c8f8379a7405e95af1b33643d2e5a221f59d57ffac122df0bb85", "generator_version": "3.0"}
{"id": "v3_val_00005127", "prompt": "Evaluate: (267 + (-680) - (-466 + 924)) / (-67 + (-94))", "solution_steps": ["Add: 267 + (-680) = -413", "Add: -466 + 924 = 458", "Subtract: -413 - 458 = -871", "Add: -67 + (-94) = -161", "Divide: -871 / (-161) = 871/161"], "final_answer": "871/161", "answer_type": "rational", "kind": "expression", "math_text": "(267 + (-680) - (-466 + 924)) / (-67 + (-94))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 267, \"b\": -680, \"c\": -466, \"d\": 924, \"e\": -67, \"f\": -94}", "seed": "6209543847248749600", "semantic_fingerprint": "sha256:e160a56bf24a19950080acd90f59d36c52bad82b769e2efcdc89cbe9eb6af23b", "generator_version": "3.0"}
{"id": "v3_val_00005128", "prompt": "Calculate: (14 + (-72)) / 3 * (-73)", "solution_steps": ["Add: 14 + (-72) = -58", "Divide: -58 / 3 = -58/3", "Multiply: (-58/3) * (-73) = 4234/3"], "final_answer": "4234/3", "answer_type": "rational", "kind": "expression", "math_text": "(14 + (-72)) / 3 * (-73)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -72, \"c\": 3, \"d\": -73}", "seed": "5408784705489794981", "semantic_fingerprint": "sha256:3181c86c98be37f61616137b255db2dbc037a9a7285bcd4fd562f9bc3b89417c", "generator_version": "3.0"}
{"id": "v3_val_00005129", "prompt": "Find x: 8(x + 39) = 10x + 314", "solution_steps": ["Expand: 8x + 312 = 10x + 314", "Subtract 10x from both sides: -2x + 312 = 314", "Subtract 312 from both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 39) = 10x + 314", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 39, \"c\": 10, \"e\": 314, \"x\": -1}", "seed": "15779509917049307749", "semantic_fingerprint": "sha256:1a2f7b0672b16ef722ea9ab731f3ca8110ca95d71037ccca3796bd23892a54e6", "generator_version": "3.0"}
{"id": "v3_val_00005130", "prompt": "Calculate: -74 / (209 - (-197))", "solution_steps": ["Subtract: 209 - (-197) = 406", "Divide: -74 / 406 = -37/203"], "final_answer": "-37/203", "answer_type": "rational", "kind": "expression", "math_text": "-74 / (209 - (-197))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 209, \"c\": -197}", "seed": "11560956498313577286", "semantic_fingerprint": "sha256:dc4f22966cf2a61fe022c83bc00ca6fac77496f71c15e7c983e1f4f65f49f9cc", "generator_version": "3.0"}
{"id": "v3_val_00005131", "prompt": "Solve the equation 10(x - 6) + 536 = -8x for x.", "solution_steps": ["Expand: 10x - 60 + 536 = -8x", "Combine constants: 10x + 476 = -8x", "Add 8x to both sides: 18x + 476 = 0", "Subtract 476 from both sides: 18x = -476", "Divide both sides by 18: x = -238/9"], "final_answer": "-238/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 6) + 536 = -8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 536, \"d\": -8}", "seed": "2529458776772008910", "semantic_fingerprint": "sha256:24641bb307d0028d11f4fee6aca4c24396e634ef8bbd352436947192cf9c1f51", "generator_version": "3.0"}
{"id": "v3_val_00005132", "prompt": "Solve the equation x - 174 = 7(x - 42) for x.", "solution_steps": ["Expand: x - 174 = 7x - 294", "Subtract 7x from both sides: -6x - 174 = -294", "Add 174 to both sides: -6x = -120", "Divide both sides by -6: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 174 = 7(x - 42)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 42, \"d\": -174, \"x\": 20}", "seed": "11188595992539461162", "semantic_fingerprint": "sha256:e32caec97aa165d6513dd96054f9ed5c6ca75490b0eb9f4e507b9dc92ff1e883", "generator_version": "3.0"}
{"id": "v3_val_00005133", "prompt": "Solve the equation 12x = -144 for x.", "solution_steps": ["Divide both sides by 12: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = -144", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -144, \"x\": -12}", "seed": "3289023708357961497", "semantic_fingerprint": "sha256:e1f8d11fd3bba1def3854c3f5b4f250393b57f4c3ec4837ef7ce8dc0cf6e0209", "generator_version": "3.0"}
{"id": "v3_val_00005134", "prompt": "Solve for x: 11(x + 210) = -12(x - 28)", "solution_steps": ["Expand: 11x + 2310 = -12(x - 28)", "Expand: 11x + 2310 = -12x + 336", "Add 12x to both sides: 23x + 2310 = 336", "Subtract 2310 from both sides: 23x = -1974", "Divide both sides by 23: x = -1974/23"], "final_answer": "-1974/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 210) = -12(x - 28)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 210, \"c\": -12, \"d\": 28}", "seed": "5911730677867481056", "semantic_fingerprint": "sha256:5bf586aa1fa99dc7115b1554788977ac0374d5a07fcef8f94b22ec3172172676", "generator_version": "3.0"}
{"id": "v3_val_00005135", "prompt": "Solve for x: x - 7 = 7x - 1", "solution_steps": ["Subtract 7x from both sides: -6x - 7 = -1", "Add 7 to both sides: -6x = 6", "Divide both sides by -6: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = 7x - 1", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"d\": -1, \"x\": -1}", "seed": "16760071536696372780", "semantic_fingerprint": "sha256:bda26fb20c361f115acb1282b8635b0d2adfc5f5cbb512162073c50ac6860f1b", "generator_version": "3.0"}
{"id": "v3_val_00005136", "prompt": "What is -109 + (93 - (-383))?", "solution_steps": ["Subtract: 93 - (-383) = 476", "Add: -109 + 476 = 367"], "final_answer": "367", "answer_type": "integer", "kind": "expression", "math_text": "-109 + (93 - (-383))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -109, \"b\": 93, \"c\": -383}", "seed": "5231793260209272826", "semantic_fingerprint": "sha256:ba753c06d5fdcd53674be8b7ba1bc220390076d6e56c6c7764b0bfbcbaeb04c6", "generator_version": "3.0"}
{"id": "v3_val_00005137", "prompt": "Calculate: (-92 - (-861) * 3) * (-9 / (0 - (-9)))", "solution_steps": ["Multiply: -861 * 3 = -2583", "Subtract: -92 - (-2583) = 2491", "Subtract: 0 - (-9) = 9", "Divide: -9 / 9 = -1", "Multiply: 2491 * (-1) = -2491"], "final_answer": "-2491", "answer_type": "integer", "kind": "expression", "math_text": "(-92 - (-861) * 3) * (-9 / (0 - (-9)))", "variable": null, "family": "expression_5op", "shape": "(* (- n (* n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -861, \"c\": 3, \"d\": -9, \"e\": 0, \"f\": -9}", "seed": "15014167532990265806", "semantic_fingerprint": "sha256:d51363e43b150136051295125618d6b1730d53de8891965ce8f3b800056bad23", "generator_version": "3.0"}
{"id": "v3_val_00005138", "prompt": "Solve the equation 5x = x - 33 for x.", "solution_steps": ["Subtract x from both sides: 4x = -33", "Divide both sides by 4: x = -33/4"], "final_answer": "-33/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = x - 33", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 33}", "seed": "15251343408216932764", "semantic_fingerprint": "sha256:a3cd76c67747ada15dcd2c27cdddc3916a8856e27369c88042bceef67b16e3af", "generator_version": "3.0"}
{"id": "v3_val_00005139", "prompt": "Calculate: -1 - 740 - (-27) - (-572)", "solution_steps": ["Subtract: -1 - 740 = -741", "Subtract: -741 - (-27) = -714", "Subtract: -714 - (-572) = -142"], "final_answer": "-142", "answer_type": "integer", "kind": "expression", "math_text": "-1 - 740 - (-27) - (-572)", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 740, \"c\": -27, \"d\": -572}", "seed": "764980126621212575", "semantic_fingerprint": "sha256:8249cf58bf6513adba6e45da2ff5bd5819bd86e24791ea0a83b9516ccd40cf4c", "generator_version": "3.0"}
{"id": "v3_val_00005140", "prompt": "Solve the equation x + 70 = 53 for x.", "solution_steps": ["Subtract 70 from both sides: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 70 = 53", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 70, \"c\": 53, \"x\": -17}", "seed": "13205466630476086704", "semantic_fingerprint": "sha256:09aea39652b379d99e66fbb2965b765789f07d70cd280383743506617436ed83", "generator_version": "3.0"}
{"id": "v3_val_00005141", "prompt": "Compute: (-41 + (-97)) * 9", "solution_steps": ["Add: -41 + (-97) = -138", "Multiply: -138 * 9 = -1242"], "final_answer": "-1242", "answer_type": "integer", "kind": "expression", "math_text": "(-41 + (-97)) * 9", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -97, \"c\": 9}", "seed": "8260751234505846834", "semantic_fingerprint": "sha256:adc22932cbd5f132efc8356610f42d7be18590f397308a9dc3bbadce87e78031", "generator_version": "3.0"}
{"id": "v3_val_00005142", "prompt": "What is -1 - (600 + 564)?", "solution_steps": ["Add: 600 + 564 = 1164", "Subtract: -1 - 1164 = -1165"], "final_answer": "-1165", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (600 + 564)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 600, \"c\": 564}", "seed": "15791165874680132545", "semantic_fingerprint": "sha256:0924fdf3e4ba0155ecd5f2dbd9e8b5685b839a3f5364563744d60014205008cc", "generator_version": "3.0"}
{"id": "v3_val_00005143", "prompt": "What value of x satisfies -8(x - 9) + 28 = 17?", "solution_steps": ["Expand: -8x + 72 + 28 = 17", "Combine constants: -8x + 100 = 17", "Subtract 100 from both sides: -8x = -83", "Divide both sides by -8: x = 83/8"], "final_answer": "83/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 9) + 28 = 17", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 28, \"d\": 17}", "seed": "2612840073587422316", "semantic_fingerprint": "sha256:71a501a9ecf3dbd1e5cf8e7af6261c62ae84410e2e5a9df3951b799df3a48f3e", "generator_version": "3.0"}
{"id": "v3_val_00005144", "prompt": "Compute: -92 + 61 / 21", "solution_steps": ["Divide: 61 / 21 = 61/21", "Add: -92 + 61/21 = -1871/21"], "final_answer": "-1871/21", "answer_type": "rational", "kind": "expression", "math_text": "-92 + 61 / 21", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 61, \"c\": 21}", "seed": "11401874385932005167", "semantic_fingerprint": "sha256:f23b9ed84571df76bd8a53a65c9f2391153abb37c413dd4074277e28f30a744b", "generator_version": "3.0"}
{"id": "v3_val_00005145", "prompt": "Solve for x: x - 16 = 11(x - 4)", "solution_steps": ["Expand: x - 16 = 11x - 44", "Subtract 11x from both sides: -10x - 16 = -44", "Add 16 to both sides: -10x = -28", "Divide both sides by -10: x = 14/5"], "final_answer": "14/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 16 = 11(x - 4)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 11, \"c\": 4}", "seed": "584581636480583978", "semantic_fingerprint": "sha256:c154acfd7d840f5a2c14c137e93f0b8f00be8b4f665c2c8fef2e4c582233e14f", "generator_version": "3.0"}
{"id": "v3_val_00005146", "prompt": "Find x: -11x = x - 108", "solution_steps": ["Subtract x from both sides: -12x = -108", "Divide both sides by -12: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = x - 108", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"c\": -108, \"x\": 9}", "seed": "6833390181481121919", "semantic_fingerprint": "sha256:fe20e7fb5498bc5ccb7e25564ed8e1cec5bcb26f860185b90a6d2f03dd157e2e", "generator_version": "3.0"}
{"id": "v3_val_00005147", "prompt": "Calculate: 36 * 57", "solution_steps": ["Multiply: 36 * 57 = 2052"], "final_answer": "2052", "answer_type": "integer", "kind": "expression", "math_text": "36 * 57", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 57}", "seed": "11247479540939110939", "semantic_fingerprint": "sha256:9d34a9ec003ca7d102b0bfec437ff76d4202d4e539a2fe6e78f351e55a2c255b", "generator_version": "3.0"}
{"id": "v3_val_00005148", "prompt": "What value of x satisfies x = 8(x - 4)?", "solution_steps": ["Expand: x = 8x - 32", "Subtract 8x from both sides: -7x = -32", "Divide both sides by -7: x = 32/7"], "final_answer": "32/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 8(x - 4)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4}", "seed": "1202155960979206258", "semantic_fingerprint": "sha256:36fca84d525fab2f063c2bcfa3c0737d8cd89d972551c969d7be20f03490e72f", "generator_version": "3.0"}
{"id": "v3_val_00005149", "prompt": "Compute: -2 / 842 + (-1 + (-89)) / (-27)", "solution_steps": ["Divide: -2 / 842 = -1/421", "Add: -1 + (-89) = -90", "Divide: -90 / (-27) = 10/3", "Add: -1/421 + 10/3 = 4207/1263"], "final_answer": "4207/1263", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 842 + (-1 + (-89)) / (-27)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 842, \"c\": -1, \"d\": -89, \"e\": -27}", "seed": "1380969964563485712", "semantic_fingerprint": "sha256:21e24bb9471ebc4a921b1bde02a6cc0cccc1297d0a041cd4b3207ccb27c56279", "generator_version": "3.0"}
{"id": "v3_val_00005150", "prompt": "What is 576 + (-27) / 483 * (-1 + (-857))?", "solution_steps": ["Divide: -27 / 483 = -9/161", "Add: -1 + (-857) = -858", "Multiply: (-9/161) * (-858) = 7722/161", "Add: 576 + 7722/161 = 100458/161"], "final_answer": "100458/161", "answer_type": "rational", "kind": "expression", "math_text": "576 + (-27) / 483 * (-1 + (-857))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 576, \"b\": -27, \"c\": 483, \"d\": -1, \"e\": -857}", "seed": "18145300046045987178", "semantic_fingerprint": "sha256:a7246d5e6a30af9d3f8a84c8323d71f331e08625e8b847aa8831339519c730fc", "generator_version": "3.0"}
{"id": "v3_val_00005151", "prompt": "Calculate: (772 + (-164) * (-2)) * (-98)", "solution_steps": ["Multiply: -164 * (-2) = 328", "Add: 772 + 328 = 1100", "Multiply: 1100 * (-98) = -107800"], "final_answer": "-107800", "answer_type": "integer", "kind": "expression", "math_text": "(772 + (-164) * (-2)) * (-98)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 772, \"b\": -164, \"c\": -2, \"d\": -98}", "seed": "15810989947192106059", "semantic_fingerprint": "sha256:4ae510749137e15a1fbaac5d9611ab77063f31d9e71862a0dc78d7251e990026", "generator_version": "3.0"}
{"id": "v3_val_00005152", "prompt": "Compute: 27 * (44 - (-228) - 10) / (-93)", "solution_steps": ["Subtract: 44 - (-228) = 272", "Subtract: 272 - 10 = 262", "Multiply: 27 * 262 = 7074", "Divide: 7074 / (-93) = -2358/31"], "final_answer": "-2358/31", "answer_type": "rational", "kind": "expression", "math_text": "27 * (44 - (-228) - 10) / (-93)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 44, \"c\": -228, \"d\": 10, \"e\": -93}", "seed": "12311993259949205264", "semantic_fingerprint": "sha256:5bf67ab90d5dc1710ddaf17b3691b758b7a84b264b4e250a4e59474623504d51", "generator_version": "3.0"}
{"id": "v3_val_00005153", "prompt": "Compute: -729 / (48 - (217 - 7))", "solution_steps": ["Subtract: 217 - 7 = 210", "Subtract: 48 - 210 = -162", "Divide: -729 / (-162) = 9/2"], "final_answer": "9/2", "answer_type": "rational", "kind": "expression", "math_text": "-729 / (48 - (217 - 7))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -729, \"b\": 48, \"c\": 217, \"d\": 7}", "seed": "2045520408496710127", "semantic_fingerprint": "sha256:fb4e93b3412991e211b0ef62acd175321a0020323e2f2b1786d25aa76d34ba04", "generator_version": "3.0"}
{"id": "v3_val_00005154", "prompt": "Compute: (-9 + (-2) - (-22)) * (-57) / (-795)", "solution_steps": ["Add: -9 + (-2) = -11", "Subtract: -11 - (-22) = 11", "Multiply: 11 * (-57) = -627", "Divide: -627 / (-795) = 209/265"], "final_answer": "209/265", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + (-2) - (-22)) * (-57) / (-795)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": -22, \"d\": -57, \"e\": -795}", "seed": "963957201182402482", "semantic_fingerprint": "sha256:2bb13564323e8dc6d748de4018a4ae38852c82b1456246d520ef29c5a86ba826", "generator_version": "3.0"}
{"id": "v3_val_00005155", "prompt": "What is -287 + 703?", "solution_steps": ["Add: -287 + 703 = 416"], "final_answer": "416", "answer_type": "integer", "kind": "expression", "math_text": "-287 + 703", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -287, \"b\": 703}", "seed": "14538052370000862132", "semantic_fingerprint": "sha256:7c597437ffc720ff6076298419436c509dad1f1e471974b24c573c9c9380b31a", "generator_version": "3.0"}
{"id": "v3_val_00005156", "prompt": "What is (-54 + 76) / (-79 * 212)?", "solution_steps": ["Add: -54 + 76 = 22", "Multiply: -79 * 212 = -16748", "Divide: 22 / (-16748) = -11/8374"], "final_answer": "-11/8374", "answer_type": "rational", "kind": "expression", "math_text": "(-54 + 76) / (-79 * 212)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 76, \"c\": -79, \"d\": 212}", "seed": "3556381057662032360", "semantic_fingerprint": "sha256:93de00d038b38aa726faf4b60cab5df9b628cf419cc422db402b1d867b285120", "generator_version": "3.0"}
{"id": "v3_val_00005157", "prompt": "Solve for x: 2(x - 17) = 6", "solution_steps": ["Expand: 2x - 34 = 6", "Add 34 to both sides: 2x = 40", "Divide both sides by 2: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 17) = 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 17, \"d\": 6, \"x\": 20}", "seed": "6999673190763511263", "semantic_fingerprint": "sha256:e30303b7eef6b6e5d5d1ec6222ae0ce5c94857ea02e772e3f3e353ffa1f93586", "generator_version": "3.0"}
{"id": "v3_val_00005158", "prompt": "Compute: (97 - (-597) - (7 / (-72) - 47)) / 8", "solution_steps": ["Subtract: 97 - (-597) = 694", "Divide: 7 / (-72) = -7/72", "Subtract: -7/72 - 47 = -3391/72", "Subtract: 694 - (-3391/72) = 53359/72", "Divide: (53359/72) / 8 = 53359/576"], "final_answer": "53359/576", "answer_type": "rational", "kind": "expression", "math_text": "(97 - (-597) - (7 / (-72) - 47)) / 8", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) (- (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -597, \"c\": 7, \"d\": -72, \"e\": 47, \"f\": 8}", "seed": "11128836940781595139", "semantic_fingerprint": "sha256:00994a6bb9f1923253b50dc998034bcb35173a73a1e105c57f78940850c1622f", "generator_version": "3.0"}
{"id": "v3_val_00005159", "prompt": "Evaluate: 0 / (9 / (-5))", "solution_steps": ["Divide: 9 / (-5) = -9/5", "Divide: 0 / (-9/5) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (9 / (-5))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9, \"c\": -5}", "seed": "14116542835286633098", "semantic_fingerprint": "sha256:eda11e26e44d7ca96002d1ca7efcedbb256c82e4c0bedeec869d004e7c8a7264", "generator_version": "3.0"}
{"id": "v3_val_00005160", "prompt": "Compute: -97 + (-42)", "solution_steps": ["Add: -97 + (-42) = -139"], "final_answer": "-139", "answer_type": "integer", "kind": "expression", "math_text": "-97 + (-42)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -42}", "seed": "16562072138782176184", "semantic_fingerprint": "sha256:80a2f6013e25899d9459cfc22d0786e23500647f52c02656cb92387e6e24928c", "generator_version": "3.0"}
{"id": "v3_val_00005161", "prompt": "What value of x satisfies 11x - 10 = -164?", "solution_steps": ["Add 10 to both sides: 11x = -154", "Divide both sides by 11: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 10 = -164", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 10, \"d\": -164, \"x\": -14}", "seed": "13212076157066987890", "semantic_fingerprint": "sha256:5a43b76f47b77c07524560b22e1a45b61178cbdd431b790463ab13584e094e57", "generator_version": "3.0"}
{"id": "v3_val_00005162", "prompt": "Compute: -7 + (-24)", "solution_steps": ["Add: -7 + (-24) = -31"], "final_answer": "-31", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-24)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -24}", "seed": "4018201713367966002", "semantic_fingerprint": "sha256:09bb3e2f15b03a2d8cdd68ec0b1d86134fd638704099f266b6d28a34a76076fe", "generator_version": "3.0"}
{"id": "v3_val_00005163", "prompt": "Calculate: 85 + (-3) + 6", "solution_steps": ["Add: 85 + (-3) = 82", "Add: 82 + 6 = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "85 + (-3) + 6", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -3, \"c\": 6}", "seed": "15165583624662197010", "semantic_fingerprint": "sha256:919853591488d1f385cb464ab6637dbeb269cc56121455a688cc6cee8aa97b14", "generator_version": "3.0"}
{"id": "v3_val_00005164", "prompt": "What is -10 * (-476 / 28) * (-78)?", "solution_steps": ["Divide: -476 / 28 = -17", "Multiply: -10 * (-17) = 170", "Multiply: 170 * (-78) = -13260"], "final_answer": "-13260", "answer_type": "integer", "kind": "expression", "math_text": "-10 * (-476 / 28) * (-78)", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -476, \"c\": 28, \"d\": -78}", "seed": "4683654051484226419", "semantic_fingerprint": "sha256:0c783d659c02bc5bb63552df9cabc559d19f12868848088e42d6c736ee2257cc", "generator_version": "3.0"}
{"id": "v3_val_00005165", "prompt": "What value of x satisfies 5x + 34 = 7(x + 4)?", "solution_steps": ["Expand: 5x + 34 = 7x + 28", "Subtract 7x from both sides: -2x + 34 = 28", "Subtract 34 from both sides: -2x = -6", "Divide both sides by -2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 34 = 7(x + 4)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 4, \"e\": 34, \"x\": 3}", "seed": "14911868391114540164", "semantic_fingerprint": "sha256:2f047358f52671d63c6b66f9dea4994b4053358c0fdf3ea89ecc5e9fb42b9af1", "generator_version": "3.0"}
{"id": "v3_val_00005166", "prompt": "Solve for x: -9x - 99 = 10x + 2", "solution_steps": ["Subtract 10x from both sides: -19x - 99 = 2", "Add 99 to both sides: -19x = 101", "Divide both sides by -19: x = -101/19"], "final_answer": "-101/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x - 99 = 10x + 2", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 99, \"c\": 10, \"d\": 2}", "seed": "5238401208700895707", "semantic_fingerprint": "sha256:c49c5ddfc7509d5a96d3939f1199494968a79a9d7ada7aa162abc59050418972", "generator_version": "3.0"}
{"id": "v3_val_00005167", "prompt": "What is 44 * (544 + 95 - (-768 + (-58)))?", "solution_steps": ["Add: 544 + 95 = 639", "Add: -768 + (-58) = -826", "Subtract: 639 - (-826) = 1465", "Multiply: 44 * 1465 = 64460"], "final_answer": "64460", "answer_type": "integer", "kind": "expression", "math_text": "44 * (544 + 95 - (-768 + (-58)))", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 544, \"c\": 95, \"d\": -768, \"e\": -58}", "seed": "16966274859118109681", "semantic_fingerprint": "sha256:375a3099e15b777ff8dd3f3e8a621ef313e46469bbaadd0b202215a9e6f211e6", "generator_version": "3.0"}
{"id": "v3_val_00005168", "prompt": "Solve the equation -5x + 328 = 12(x - 1) for x.", "solution_steps": ["Expand: -5x + 328 = 12x - 12", "Subtract 12x from both sides: -17x + 328 = -12", "Subtract 328 from both sides: -17x = -340", "Divide both sides by -17: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 328 = 12(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 12, \"c\": 1, \"e\": 328, \"x\": 20}", "seed": "2975121069030287903", "semantic_fingerprint": "sha256:41f5207be00d1032c59ce2a4f923bb4fed5a6d58f96e5183d0b07bb72bd15647", "generator_version": "3.0"}
{"id": "v3_val_00005169", "prompt": "Find x: 4(x + 9) = -9(x - 826)", "solution_steps": ["Expand: 4x + 36 = -9(x - 826)", "Expand: 4x + 36 = -9x + 7434", "Add 9x to both sides: 13x + 36 = 7434", "Subtract 36 from both sides: 13x = 7398", "Divide both sides by 13: x = 7398/13"], "final_answer": "7398/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 9) = -9(x - 826)", "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\": 826}", "seed": "16474691058754642505", "semantic_fingerprint": "sha256:f07ebcba7b509fc4721dec0ebbb86a03b05bdcf62b8fd4ff7c7dff965e91bde3", "generator_version": "3.0"}
{"id": "v3_val_00005170", "prompt": "What is -24 * (-71) - (-339)?", "solution_steps": ["Multiply: -24 * (-71) = 1704", "Subtract: 1704 - (-339) = 2043"], "final_answer": "2043", "answer_type": "integer", "kind": "expression", "math_text": "-24 * (-71) - (-339)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -71, \"c\": -339}", "seed": "9191704538497382765", "semantic_fingerprint": "sha256:60277b2d8e1921da0ca757a69f1a633e780ed953a508ee479871218b39aea8a6", "generator_version": "3.0"}
{"id": "v3_val_00005171", "prompt": "Find x: -3(x + 45) + 72 = x - 75", "solution_steps": ["Expand: -3x - 135 + 72 = x - 75", "Combine constants: -3x - 63 = x - 75", "Subtract x from both sides: -4x - 63 = -75", "Add 63 to both sides: -4x = -12", "Divide both sides by -4: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 45) + 72 = x - 75", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 45, \"c\": 72, \"e\": -75, \"x\": 3}", "seed": "8086921769161913612", "semantic_fingerprint": "sha256:e587e8e0b201fc4eb772ab5510e88edc209cf19a75b38eb6daf1b6cd5ab0c064", "generator_version": "3.0"}
{"id": "v3_val_00005172", "prompt": "Calculate: 9 - (-860 / (573 - 711) - (-7))", "solution_steps": ["Subtract: 573 - 711 = -138", "Divide: -860 / (-138) = 430/69", "Subtract: 430/69 - (-7) = 913/69", "Subtract: 9 - 913/69 = -292/69"], "final_answer": "-292/69", "answer_type": "rational", "kind": "expression", "math_text": "9 - (-860 / (573 - 711) - (-7))", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -860, \"c\": 573, \"d\": 711, \"e\": -7}", "seed": "1830241841748555103", "semantic_fingerprint": "sha256:dfa5aa9636376a3b2a58400603a15a7402254f00454553c471f56b7f17e57f09", "generator_version": "3.0"}
{"id": "v3_val_00005173", "prompt": "Find x: 10(x + 66) = 6x", "solution_steps": ["Expand: 10x + 660 = 6x", "Subtract 6x from both sides: 4x + 660 = 0", "Subtract 660 from both sides: 4x = -660", "Divide both sides by 4: x = -165"], "final_answer": "-165", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 66) = 6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 66, \"c\": 6}", "seed": "5120441679523366984", "semantic_fingerprint": "sha256:78afec54844bb647f1cfba371347c54680702e73ef29ded07db17f468d769008", "generator_version": "3.0"}
{"id": "v3_val_00005174", "prompt": "What is 0 * (-67)?", "solution_steps": ["Multiply: 0 * (-67) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-67)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -67}", "seed": "12487480206243509479", "semantic_fingerprint": "sha256:fdfb081b73740d168ef0856d75f8a681da4f81f502983f07c6304c8a33f4a14c", "generator_version": "3.0"}
{"id": "v3_val_00005175", "prompt": "Calculate: 42 / 242", "solution_steps": ["Divide: 42 / 242 = 21/121"], "final_answer": "21/121", "answer_type": "rational", "kind": "expression", "math_text": "42 / 242", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 242}", "seed": "18253117174846027964", "semantic_fingerprint": "sha256:57c4ab26645cfe18b90e582322214a5651a4eee589b2088c8ec9d3fbcfa50e4e", "generator_version": "3.0"}
{"id": "v3_val_00005176", "prompt": "What value of x satisfies -11(x + 24) = 3(x + 3) - 91?", "solution_steps": ["Expand: -11x - 264 = 3(x + 3) - 91", "Expand: -11x - 264 = 3x + 9 - 91", "Combine constants: -11x - 264 = 3x - 82", "Subtract 3x from both sides: -14x - 264 = -82", "Add 264 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 + 24) = 3(x + 3) - 91", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 24, \"c\": 3, \"d\": 3, \"f\": -91, \"x\": -13}", "seed": "13882688429026278629", "semantic_fingerprint": "sha256:276ec14115ad6af723a86178e6daddb87f87f6a3be453b13407e4e88685f1f5d", "generator_version": "3.0"}
{"id": "v3_val_00005177", "prompt": "Evaluate: 66 * 4 * (-86 + (-865) - (-77))", "solution_steps": ["Multiply: 66 * 4 = 264", "Add: -86 + (-865) = -951", "Subtract: -951 - (-77) = -874", "Multiply: 264 * (-874) = -230736"], "final_answer": "-230736", "answer_type": "integer", "kind": "expression", "math_text": "66 * 4 * (-86 + (-865) - (-77))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 4, \"c\": -86, \"d\": -865, \"e\": -77}", "seed": "6031948584073993825", "semantic_fingerprint": "sha256:d13462b76802d7ec7acaf9e23c466d5c557d28f335d08f15341bee16fabbc331", "generator_version": "3.0"}
{"id": "v3_val_00005178", "prompt": "Compute: 67 / (-58) - (-10 - (-8))", "solution_steps": ["Divide: 67 / (-58) = -67/58", "Subtract: -10 - (-8) = -2", "Subtract: -67/58 - (-2) = 49/58"], "final_answer": "49/58", "answer_type": "rational", "kind": "expression", "math_text": "67 / (-58) - (-10 - (-8))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -58, \"c\": -10, \"d\": -8}", "seed": "11246149849027822121", "semantic_fingerprint": "sha256:b07eb51d1d88fcb7d613a3adb6bf655f5d1cae6f46aea9676d8445f55be0fb0c", "generator_version": "3.0"}
{"id": "v3_val_00005179", "prompt": "Solve for x: x = 7x - 6", "solution_steps": ["Subtract 7x from both sides: -6x = -6", "Divide both sides by -6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 7x - 6", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6}", "seed": "14090388233614446484", "semantic_fingerprint": "sha256:afc67fc18b5c7aabeb4cd87ea88e7d88e80da4231429a1ec14f46b6acd91a844", "generator_version": "3.0"}
{"id": "v3_val_00005180", "prompt": "Calculate: -38 * (215 * 58)", "solution_steps": ["Multiply: 215 * 58 = 12470", "Multiply: -38 * 12470 = -473860"], "final_answer": "-473860", "answer_type": "integer", "kind": "expression", "math_text": "-38 * (215 * 58)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 215, \"c\": 58}", "seed": "2724128835688651419", "semantic_fingerprint": "sha256:761def4a6ed7fc1357124708767abbbd27ad10d84dc9d1becb2d81dea0dc301d", "generator_version": "3.0"}
{"id": "v3_val_00005181", "prompt": "Calculate: -6 * (-1)", "solution_steps": ["Multiply: -6 * (-1) = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-1)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -1}", "seed": "5456762838362203752", "semantic_fingerprint": "sha256:a4a43d4c3ddff4d4feaea94efdb370a272acfc9cf614b2f4567da609606e98f7", "generator_version": "3.0"}
{"id": "v3_val_00005182", "prompt": "Evaluate: -6 + (-91 + 0)", "solution_steps": ["Add: -91 + 0 = -91", "Add: -6 + (-91) = -97"], "final_answer": "-97", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-91 + 0)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -91, \"c\": 0}", "seed": "10403690795518979402", "semantic_fingerprint": "sha256:eee33b86026ba32fe0922ab90b15251b27b83b0314ab5cd24737bc0ee5cc95a9", "generator_version": "3.0"}
{"id": "v3_val_00005183", "prompt": "What is (-9 - (-891)) / (-49 + 53) + 83?", "solution_steps": ["Subtract: -9 - (-891) = 882", "Add: -49 + 53 = 4", "Divide: 882 / 4 = 441/2", "Add: 441/2 + 83 = 607/2"], "final_answer": "607/2", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - (-891)) / (-49 + 53) + 83", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -891, \"c\": -49, \"d\": 53, \"e\": 83}", "seed": "219047216837786110", "semantic_fingerprint": "sha256:44adf36798c816206cc64c1be70539562cbb2fbe05fabbd48f3ed1a3cb0c9b16", "generator_version": "3.0"}
{"id": "v3_val_00005184", "prompt": "Calculate: 456 + (-65) - 4 / 91", "solution_steps": ["Add: 456 + (-65) = 391", "Divide: 4 / 91 = 4/91", "Subtract: 391 - 4/91 = 35577/91"], "final_answer": "35577/91", "answer_type": "rational", "kind": "expression", "math_text": "456 + (-65) - 4 / 91", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 456, \"b\": -65, \"c\": 4, \"d\": 91}", "seed": "6363413569705635167", "semantic_fingerprint": "sha256:a2702428d805a4e45e3f57b35b84ab0e3fadb2b8e83e50163fc6bb7ce4011c0c", "generator_version": "3.0"}
{"id": "v3_val_00005185", "prompt": "Solve for x: -7(x + 417) = 7(x - 42)", "solution_steps": ["Expand: -7x - 2919 = 7(x - 42)", "Expand: -7x - 2919 = 7x - 294", "Subtract 7x from both sides: -14x - 2919 = -294", "Add 2919 to both sides: -14x = 2625", "Divide both sides by -14: x = -375/2"], "final_answer": "-375/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 417) = 7(x - 42)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 417, \"c\": 7, \"d\": 42}", "seed": "1845604261046051146", "semantic_fingerprint": "sha256:c8b98feae3c12c8a3043e4e1d4aa2b8d062098444a3f77857a2e4deaf6f5db86", "generator_version": "3.0"}
{"id": "v3_val_00005186", "prompt": "Find x: x = 6(x + 63)", "solution_steps": ["Expand: x = 6x + 378", "Subtract 6x from both sides: -5x = 378", "Divide both sides by -5: x = -378/5"], "final_answer": "-378/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 6(x + 63)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 63}", "seed": "4028716222378638713", "semantic_fingerprint": "sha256:3fee66e9111bd7789158147855338a06a17bbae28a1f6b5f039a262d17376014", "generator_version": "3.0"}
{"id": "v3_val_00005187", "prompt": "Calculate: -584 + (21 + (-85) * (-36))", "solution_steps": ["Multiply: -85 * (-36) = 3060", "Add: 21 + 3060 = 3081", "Add: -584 + 3081 = 2497"], "final_answer": "2497", "answer_type": "integer", "kind": "expression", "math_text": "-584 + (21 + (-85) * (-36))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -584, \"b\": 21, \"c\": -85, \"d\": -36}", "seed": "9842064265314820543", "semantic_fingerprint": "sha256:9cc6db53b9daa3159205989ea739558e4fb6e2286ffc708c80d1e3be0351a0a0", "generator_version": "3.0"}
{"id": "v3_val_00005188", "prompt": "Solve for x: 3(x - 8) - 6 = x", "solution_steps": ["Expand: 3x - 24 - 6 = x", "Combine constants: 3x - 30 = x", "Subtract x 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": "3(x - 8) - 6 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"d\": -6, \"x\": 15}", "seed": "5578193052334345199", "semantic_fingerprint": "sha256:2c46c2481b8fd8e6de43339f90737b5d8ea7a57db413a4c66da68937a754adcb", "generator_version": "3.0"}
{"id": "v3_val_00005189", "prompt": "Calculate: 4 - (-22) * 64", "solution_steps": ["Multiply: -22 * 64 = -1408", "Subtract: 4 - (-1408) = 1412"], "final_answer": "1412", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-22) * 64", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -22, \"c\": 64}", "seed": "17071390904871973464", "semantic_fingerprint": "sha256:3da39e07e2b8904cc6ac31db57ffe0cacc720f599345bc1b0a04d4b8cc48b2a0", "generator_version": "3.0"}
{"id": "v3_val_00005190", "prompt": "What is -41 + (-5)?", "solution_steps": ["Add: -41 + (-5) = -46"], "final_answer": "-46", "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": "8274951040046364158", "semantic_fingerprint": "sha256:1dbb4108a3c6986771474c1227eeeed6390d64ad47fe213ffbfdffed0c995210", "generator_version": "3.0"}
{"id": "v3_val_00005191", "prompt": "What value of x satisfies x + 1 = 12(x - 2) + 937?", "solution_steps": ["Expand: x + 1 = 12x - 24 + 937", "Combine constants: x + 1 = 12x + 913", "Subtract 12x from both sides: -11x + 1 = 913", "Subtract 1 from both sides: -11x = 912", "Divide both sides by -11: x = -912/11"], "final_answer": "-912/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1 = 12(x - 2) + 937", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 12, \"c\": 2, \"d\": 937}", "seed": "7158690227547242015", "semantic_fingerprint": "sha256:3bc38bb662d01e6cbfd5efa1f970de813490a41d448d9c3eba538bead4e37c5c", "generator_version": "3.0"}
{"id": "v3_val_00005192", "prompt": "Calculate: (-919 + (-55)) / 326", "solution_steps": ["Add: -919 + (-55) = -974", "Divide: -974 / 326 = -487/163"], "final_answer": "-487/163", "answer_type": "rational", "kind": "expression", "math_text": "(-919 + (-55)) / 326", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -919, \"b\": -55, \"c\": 326}", "seed": "11776892031001479524", "semantic_fingerprint": "sha256:65e89b138333178fdd3749b332498041f751973a95a6b761c9f125e1952b6a3c", "generator_version": "3.0"}
{"id": "v3_val_00005193", "prompt": "What is 42 * (-1) / 37?", "solution_steps": ["Multiply: 42 * (-1) = -42", "Divide: -42 / 37 = -42/37"], "final_answer": "-42/37", "answer_type": "rational", "kind": "expression", "math_text": "42 * (-1) / 37", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -1, \"c\": 37}", "seed": "5779450126824833568", "semantic_fingerprint": "sha256:ea59b8a1639a67935b39eac5629d41c30154a7ca1f08feccf31de11bebab68dd", "generator_version": "3.0"}
{"id": "v3_val_00005194", "prompt": "Solve the equation 9x = x + 64 for x.", "solution_steps": ["Subtract x from both sides: 8x = 64", "Divide both sides by 8: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = x + 64", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 64, \"x\": 8}", "seed": "4257285070678116081", "semantic_fingerprint": "sha256:c7b5b626ec0d3dcd6d7fd9dd917a6bf3a6e42d9c2f77773649eeb3fc672c6eed", "generator_version": "3.0"}
{"id": "v3_val_00005195", "prompt": "Solve for x: 7x - 35 = -614", "solution_steps": ["Add 35 to both sides: 7x = -579", "Divide both sides by 7: x = -579/7"], "final_answer": "-579/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 35 = -614", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 35, \"c\": -614}", "seed": "12528867567281677889", "semantic_fingerprint": "sha256:7659c3493cad60a517f40f431abb25ca8750e1095f89997ceb7b202a1c1fb22e", "generator_version": "3.0"}
{"id": "v3_val_00005196", "prompt": "Find x: 7(x + 32) + 87 = -7(x + 1)", "solution_steps": ["Expand: 7x + 224 + 87 = -7(x + 1)", "Expand: 7x + 224 + 87 = -7x - 7", "Combine constants: 7x + 311 = -7x - 7", "Add 7x to both sides: 14x + 311 = -7", "Subtract 311 from both sides: 14x = -318", "Divide both sides by 14: x = -159/7"], "final_answer": "-159/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 32) + 87 = -7(x + 1)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 32, \"c\": 87, \"d\": -7, \"e\": 1}", "seed": "4900687493547317091", "semantic_fingerprint": "sha256:c772f98aac096841bdff9cf8dce2ed1b2af17e4b34193928c0cecf3364da45fd", "generator_version": "3.0"}
{"id": "v3_val_00005197", "prompt": "Evaluate: 3 * 54", "solution_steps": ["Multiply: 3 * 54 = 162"], "final_answer": "162", "answer_type": "integer", "kind": "expression", "math_text": "3 * 54", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 54}", "seed": "12812992133320823633", "semantic_fingerprint": "sha256:1c96ff64a7648faa2310447485fee5cb74dffed20ff19036f80c322a9a3e8dc0", "generator_version": "3.0"}
{"id": "v3_val_00005198", "prompt": "What value of x satisfies 6(x - 45) + 7 = -239?", "solution_steps": ["Expand: 6x - 270 + 7 = -239", "Combine constants: 6x - 263 = -239", "Add 263 to both sides: 6x = 24", "Divide both sides by 6: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 45) + 7 = -239", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 45, \"c\": 7, \"e\": -239, \"x\": 4}", "seed": "11301808038663668133", "semantic_fingerprint": "sha256:ddfc5f6064db7224d1d43913c5d65e1647c740a76420aaffa4c285156c142137", "generator_version": "3.0"}
{"id": "v3_val_00005199", "prompt": "Calculate: 8 / (1 * 12) / (-2 + 7 + 1)", "solution_steps": ["Multiply: 1 * 12 = 12", "Divide: 8 / 12 = 2/3", "Add: -2 + 7 = 5", "Add: 5 + 1 = 6", "Divide: (2/3) / 6 = 1/9"], "final_answer": "1/9", "answer_type": "rational", "kind": "expression", "math_text": "8 / (1 * 12) / (-2 + 7 + 1)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (* n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 12, \"d\": -2, \"e\": 7, \"f\": 1}", "seed": "1296444336070182275", "semantic_fingerprint": "sha256:439d26f87ed6c5f5c4b5680b022ba2c0115ef7cb0d17a4cc837f26687bb13940", "generator_version": "3.0"}
{"id": "v3_val_00005200", "prompt": "Solve for x: 10(x - 3) + 4 = 12x", "solution_steps": ["Expand: 10x - 30 + 4 = 12x", "Combine constants: 10x - 26 = 12x", "Subtract 12x from both sides: -2x - 26 = 0", "Add 26 to both sides: -2x = 26", "Divide both sides by -2: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 3) + 4 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 12, \"e\": 4, \"x\": -13}", "seed": "10113498858403765980", "semantic_fingerprint": "sha256:37634dff6e350d48cae4c7d9992b42b69e707c649b39aed72c1c4ecb772bed99", "generator_version": "3.0"}
{"id": "v3_val_00005201", "prompt": "What is -906 / 29 * (-31) * 0?", "solution_steps": ["Divide: -906 / 29 = -906/29", "Multiply: (-906/29) * (-31) = 28086/29", "Multiply: (28086/29) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-906 / 29 * (-31) * 0", "variable": null, "family": "expression_3op", "shape": "(* (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -906, \"b\": 29, \"c\": -31, \"d\": 0}", "seed": "8309585116507099961", "semantic_fingerprint": "sha256:8b32c72177c192e95761ea5ed583fbe6d34d920069c82470679ee2c4e96eb475", "generator_version": "3.0"}
{"id": "v3_val_00005202", "prompt": "Calculate: (-62 - (-89)) * 54", "solution_steps": ["Subtract: -62 - (-89) = 27", "Multiply: 27 * 54 = 1458"], "final_answer": "1458", "answer_type": "integer", "kind": "expression", "math_text": "(-62 - (-89)) * 54", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -89, \"c\": 54}", "seed": "9222879172674081959", "semantic_fingerprint": "sha256:c02c9f582ecc0fc11d50fd6ff3822e10832cefb6e26a112def2960098fc7c6cf", "generator_version": "3.0"}
{"id": "v3_val_00005203", "prompt": "Compute: 92 * ((4 * (-59) - (-513)) * (-6)) + (-15)", "solution_steps": ["Multiply: 4 * (-59) = -236", "Subtract: -236 - (-513) = 277", "Multiply: 277 * (-6) = -1662", "Multiply: 92 * (-1662) = -152904", "Add: -152904 + (-15) = -152919"], "final_answer": "-152919", "answer_type": "integer", "kind": "expression", "math_text": "92 * ((4 * (-59) - (-513)) * (-6)) + (-15)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* (- (* n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 4, \"c\": -59, \"d\": -513, \"e\": -6, \"f\": -15}", "seed": "11920201018210107218", "semantic_fingerprint": "sha256:b8f0ea3f8a016721989d9a70a002b91979b40e4c9834b66133251645d7176a28", "generator_version": "3.0"}
{"id": "v3_val_00005204", "prompt": "Solve for x: 5(x - 5) + 2 = x - 96", "solution_steps": ["Expand: 5x - 25 + 2 = x - 96", "Combine constants: 5x - 23 = x - 96", "Subtract x from both sides: 4x - 23 = -96", "Add 23 to both sides: 4x = -73", "Divide both sides by 4: x = -73/4"], "final_answer": "-73/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 5) + 2 = x - 96", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 2, \"d\": 96}", "seed": "9297186020687897609", "semantic_fingerprint": "sha256:76e8224a65c2657130a03a4133b872b33a20c0fb29b09c433d7878d8774924f3", "generator_version": "3.0"}
{"id": "v3_val_00005205", "prompt": "Compute: 9 + (-38) + 94 - (-114)", "solution_steps": ["Add: 9 + (-38) = -29", "Add: -29 + 94 = 65", "Subtract: 65 - (-114) = 179"], "final_answer": "179", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-38) + 94 - (-114)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -38, \"c\": 94, \"d\": -114}", "seed": "14413055181422427756", "semantic_fingerprint": "sha256:c19dbccf950ad2af61107a1b61e03fde9835ad53d874199533c9b85acac4a608", "generator_version": "3.0"}
{"id": "v3_val_00005206", "prompt": "Compute: -469 + 79 / (-78) - 98", "solution_steps": ["Divide: 79 / (-78) = -79/78", "Add: -469 + (-79/78) = -36661/78", "Subtract: -36661/78 - 98 = -44305/78"], "final_answer": "-44305/78", "answer_type": "rational", "kind": "expression", "math_text": "-469 + 79 / (-78) - 98", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -469, \"b\": 79, \"c\": -78, \"d\": 98}", "seed": "15957737270300432774", "semantic_fingerprint": "sha256:6576762c4020845fc9c54faf748a190969b528fed15e65ea995c1dadaf2b9c84", "generator_version": "3.0"}
{"id": "v3_val_00005207", "prompt": "Calculate: 57 - 4 - (-11)", "solution_steps": ["Subtract: 57 - 4 = 53", "Subtract: 53 - (-11) = 64"], "final_answer": "64", "answer_type": "integer", "kind": "expression", "math_text": "57 - 4 - (-11)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 4, \"c\": -11}", "seed": "12760687665026066224", "semantic_fingerprint": "sha256:89c2f974aece48b1529eb6dffefaefbda6f5a9a41775a06d6c0e73af8be5a19c", "generator_version": "3.0"}
{"id": "v3_val_00005208", "prompt": "Find x: 3(x + 7) = 11(x - 9)", "solution_steps": ["Expand: 3x + 21 = 11(x - 9)", "Expand: 3x + 21 = 11x - 99", "Subtract 11x from both sides: -8x + 21 = -99", "Subtract 21 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 + 7) = 11(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 11, \"d\": 9}", "seed": "9821328128210238534", "semantic_fingerprint": "sha256:12a602bddfe2ac0dd791371a0ad941d8776ada08cd1e81fe1ac82dff5e4844bf", "generator_version": "3.0"}
{"id": "v3_val_00005209", "prompt": "Calculate: -80 + 3 - 78", "solution_steps": ["Add: -80 + 3 = -77", "Subtract: -77 - 78 = -155"], "final_answer": "-155", "answer_type": "integer", "kind": "expression", "math_text": "-80 + 3 - 78", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 3, \"c\": 78}", "seed": "9179968894082652714", "semantic_fingerprint": "sha256:8d88d0ee6cc401974e2830628b164cc2fb349c1fd0567aa4fdd4e46175a2b3d1", "generator_version": "3.0"}
{"id": "v3_val_00005210", "prompt": "What is 8 * (-4) / (-3) + 5?", "solution_steps": ["Multiply: 8 * (-4) = -32", "Divide: -32 / (-3) = 32/3", "Add: 32/3 + 5 = 47/3"], "final_answer": "47/3", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-4) / (-3) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -4, \"c\": -3, \"d\": 5}", "seed": "4084370411648331606", "semantic_fingerprint": "sha256:03cb7ae4a66b075a29dd4a6b8aeb138a81efebfd0be654ba06918c2e3e468fb9", "generator_version": "3.0"}
{"id": "v3_val_00005211", "prompt": "Evaluate: 816 * (38 + 12 - 26)", "solution_steps": ["Add: 38 + 12 = 50", "Subtract: 50 - 26 = 24", "Multiply: 816 * 24 = 19584"], "final_answer": "19584", "answer_type": "integer", "kind": "expression", "math_text": "816 * (38 + 12 - 26)", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 816, \"b\": 38, \"c\": 12, \"d\": 26}", "seed": "11460017355933048372", "semantic_fingerprint": "sha256:f54cf180c7d50fb3714f80c7122eb3e7cd2b996da9e6520e8f4b5f96c448fba0", "generator_version": "3.0"}
{"id": "v3_val_00005212", "prompt": "Evaluate: (746 + 958) / (-2) / 68", "solution_steps": ["Add: 746 + 958 = 1704", "Divide: 1704 / (-2) = -852", "Divide: -852 / 68 = -213/17"], "final_answer": "-213/17", "answer_type": "rational", "kind": "expression", "math_text": "(746 + 958) / (-2) / 68", "variable": null, "family": "expression_3op", "shape": "(/ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 746, \"b\": 958, \"c\": -2, \"d\": 68}", "seed": "2524292106840594028", "semantic_fingerprint": "sha256:1324e44ecb5d67dd16b90d139047a12b89d09fd6b3a4bd4a23a55481e87676c7", "generator_version": "3.0"}
{"id": "v3_val_00005213", "prompt": "What is -5 / (-401) * (-681)?", "solution_steps": ["Divide: -5 / (-401) = 5/401", "Multiply: (5/401) * (-681) = -3405/401"], "final_answer": "-3405/401", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-401) * (-681)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -401, \"c\": -681}", "seed": "1872393107864669273", "semantic_fingerprint": "sha256:187d26a9c870532a48d4edf74329f59a138e6e12bd4925d1abfadabb109d9b56", "generator_version": "3.0"}
{"id": "v3_val_00005214", "prompt": "Compute: -18 * (-2) / (-17)", "solution_steps": ["Multiply: -18 * (-2) = 36", "Divide: 36 / (-17) = -36/17"], "final_answer": "-36/17", "answer_type": "rational", "kind": "expression", "math_text": "-18 * (-2) / (-17)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -2, \"c\": -17}", "seed": "2997046189837249970", "semantic_fingerprint": "sha256:8d62295ff68ed25576b07e31ebc2c5408b84f80545cc1cf683b03b9dec67e075", "generator_version": "3.0"}
{"id": "v3_val_00005215", "prompt": "Compute: -666 + (8 - 26 * (-47 - (-954)))", "solution_steps": ["Subtract: -47 - (-954) = 907", "Multiply: 26 * 907 = 23582", "Subtract: 8 - 23582 = -23574", "Add: -666 + (-23574) = -24240"], "final_answer": "-24240", "answer_type": "integer", "kind": "expression", "math_text": "-666 + (8 - 26 * (-47 - (-954)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (* n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -666, \"b\": 8, \"c\": 26, \"d\": -47, \"e\": -954}", "seed": "7757848784972251597", "semantic_fingerprint": "sha256:5d0dae5b05763557d517248ec9eafa093205e1543ca5ab9445615d2aedfc6b1f", "generator_version": "3.0"}
{"id": "v3_val_00005216", "prompt": "What value of x satisfies 11(x + 90) - 9 = -12(x - 38) + 249?", "solution_steps": ["Expand: 11x + 990 - 9 = -12(x - 38) + 249", "Expand: 11x + 990 - 9 = -12x + 456 + 249", "Combine constants: 11x + 981 = -12x + 456 + 249", "Combine constants: 11x + 981 = -12x + 705", "Add 12x to both sides: 23x + 981 = 705", "Subtract 981 from both sides: 23x = -276", "Divide both sides by 23: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 90) - 9 = -12(x - 38) + 249", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 90, \"c\": 9, \"d\": -12, \"e\": 38, \"g\": 249, \"x\": -12}", "seed": "3988904064830152926", "semantic_fingerprint": "sha256:a63c567bbc65a4c89de46a60b19899bcd28a9f0e766eb3e4b8cb3ba6f15bdabc", "generator_version": "3.0"}
{"id": "v3_val_00005217", "prompt": "Evaluate: -608 * (-33 / (-80 + (-1)))", "solution_steps": ["Add: -80 + (-1) = -81", "Divide: -33 / (-81) = 11/27", "Multiply: -608 * (11/27) = -6688/27"], "final_answer": "-6688/27", "answer_type": "rational", "kind": "expression", "math_text": "-608 * (-33 / (-80 + (-1)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -608, \"b\": -33, \"c\": -80, \"d\": -1}", "seed": "15731832763118339774", "semantic_fingerprint": "sha256:b061540e8e859381b6cc99c0fb2917dc606b243dab0cbd88d5089132c5680871", "generator_version": "3.0"}
{"id": "v3_val_00005218", "prompt": "Evaluate: -4 + 64 - 95", "solution_steps": ["Add: -4 + 64 = 60", "Subtract: 60 - 95 = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "expression", "math_text": "-4 + 64 - 95", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 64, \"c\": 95}", "seed": "1055740465437934858", "semantic_fingerprint": "sha256:2199c93f47050f4893da113622b0407acc909dea0cdd47a42536c7acfaa97c36", "generator_version": "3.0"}
{"id": "v3_val_00005219", "prompt": "What value of x satisfies 7(x - 26) + 1 = 2x - 246?", "solution_steps": ["Expand: 7x - 182 + 1 = 2x - 246", "Combine constants: 7x - 181 = 2x - 246", "Subtract 2x from both sides: 5x - 181 = -246", "Add 181 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 - 26) + 1 = 2x - 246", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 26, \"c\": 1, \"d\": 2, \"f\": -246, \"x\": -13}", "seed": "17086869232212603658", "semantic_fingerprint": "sha256:33ef9306e47d7c80308619dc1406270f1c96eccb4cd9f406ffa3b3c8e1541c51", "generator_version": "3.0"}
{"id": "v3_val_00005220", "prompt": "What value of x satisfies x = 8(x - 882)?", "solution_steps": ["Expand: x = 8x - 7056", "Subtract 8x from both sides: -7x = -7056", "Divide both sides by -7: x = 1008"], "final_answer": "1008", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 8(x - 882)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 882}", "seed": "8132042570303528403", "semantic_fingerprint": "sha256:67fb463fc7ed1ca4d1b9a4f8a64b904504ec6ecb64d16caeeecad75ed47b9526", "generator_version": "3.0"}
{"id": "v3_val_00005221", "prompt": "Evaluate: -3 + 159 - (-847 - (62 + 40) / (-50))", "solution_steps": ["Add: -3 + 159 = 156", "Add: 62 + 40 = 102", "Divide: 102 / (-50) = -51/25", "Subtract: -847 - (-51/25) = -21124/25", "Subtract: 156 - (-21124/25) = 25024/25"], "final_answer": "25024/25", "answer_type": "rational", "kind": "expression", "math_text": "-3 + 159 - (-847 - (62 + 40) / (-50))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- n (/ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 159, \"c\": -847, \"d\": 62, \"e\": 40, \"f\": -50}", "seed": "10991708078056003265", "semantic_fingerprint": "sha256:410a37221da198083863b6eb77ee2e69d8ac9d1ff5100578df018785f938f684", "generator_version": "3.0"}
{"id": "v3_val_00005222", "prompt": "Compute: 51 + (-85) + 730", "solution_steps": ["Add: 51 + (-85) = -34", "Add: -34 + 730 = 696"], "final_answer": "696", "answer_type": "integer", "kind": "expression", "math_text": "51 + (-85) + 730", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -85, \"c\": 730}", "seed": "11488684647442997836", "semantic_fingerprint": "sha256:6b657c9f4a5f2bef210e24df549aa436f671d663f6b61ffec06b40132f2039de", "generator_version": "3.0"}
{"id": "v3_val_00005223", "prompt": "Solve the equation 2(x + 5) = -2(x + 19) for x.", "solution_steps": ["Expand: 2x + 10 = -2(x + 19)", "Expand: 2x + 10 = -2x - 38", "Add 2x to both sides: 4x + 10 = -38", "Subtract 10 from both sides: 4x = -48", "Divide both sides by 4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 5) = -2(x + 19)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": -2, \"d\": 19}", "seed": "13133699489594867793", "semantic_fingerprint": "sha256:da3b1680d3d559162f7f72fc43e07297cf2eb3097049cb57d8086f14170a7ea4", "generator_version": "3.0"}
{"id": "v3_val_00005224", "prompt": "What is 52 - (7 + 8)?", "solution_steps": ["Add: 7 + 8 = 15", "Subtract: 52 - 15 = 37"], "final_answer": "37", "answer_type": "integer", "kind": "expression", "math_text": "52 - (7 + 8)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 7, \"c\": 8}", "seed": "8033442598945780514", "semantic_fingerprint": "sha256:d914d1a78a7db526bdf50f075a4be0df6a891ef246bdcd175523ecd9c5d86cd8", "generator_version": "3.0"}
{"id": "v3_val_00005225", "prompt": "Calculate: (-23 / 1 - 747) / 5", "solution_steps": ["Divide: -23 / 1 = -23", "Subtract: -23 - 747 = -770", "Divide: -770 / 5 = -154"], "final_answer": "-154", "answer_type": "integer", "kind": "expression", "math_text": "(-23 / 1 - 747) / 5", "variable": null, "family": "expression_3op", "shape": "(/ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 1, \"c\": 747, \"d\": 5}", "seed": "11590131181137160072", "semantic_fingerprint": "sha256:2de4a4dfb8dd56a624e84e1b0e8d40fee70ecdfacabc2e647d5242135cc2e6de", "generator_version": "3.0"}
{"id": "v3_val_00005226", "prompt": "What is 4 - (-834) / 312?", "solution_steps": ["Divide: -834 / 312 = -139/52", "Subtract: 4 - (-139/52) = 347/52"], "final_answer": "347/52", "answer_type": "rational", "kind": "expression", "math_text": "4 - (-834) / 312", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -834, \"c\": 312}", "seed": "11849377498147428130", "semantic_fingerprint": "sha256:31b57200bcda9ec2fc73d80ee87a9e2c08300e2f56e7134adcd5d1f5e4d4d799", "generator_version": "3.0"}
{"id": "v3_val_00005227", "prompt": "What value of x satisfies -12x - 520 = x - 9?", "solution_steps": ["Subtract x from both sides: -13x - 520 = -9", "Add 520 to both sides: -13x = 511", "Divide both sides by -13: x = -511/13"], "final_answer": "-511/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 520 = x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 520, \"c\": 9}", "seed": "6103201501280922390", "semantic_fingerprint": "sha256:9677886007d81dfb2900fe4f74a4d8d1da58130fefa94b0b7dde58ab2010eb85", "generator_version": "3.0"}
{"id": "v3_val_00005228", "prompt": "Solve for x: 9x = 180", "solution_steps": ["Divide both sides by 9: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 180", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 180, \"x\": 20}", "seed": "3072738696812253082", "semantic_fingerprint": "sha256:9cd93ef3c486942a54d524463ff1955a9b9be11f30e0507c867af0fdfcbe14b9", "generator_version": "3.0"}
{"id": "v3_val_00005229", "prompt": "Compute: -5 / (-40 * (-6) - (-776))", "solution_steps": ["Multiply: -40 * (-6) = 240", "Subtract: 240 - (-776) = 1016", "Divide: -5 / 1016 = -5/1016"], "final_answer": "-5/1016", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-40 * (-6) - (-776))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -40, \"c\": -6, \"d\": -776}", "seed": "12343075127412198660", "semantic_fingerprint": "sha256:37155cd0da146ed1462ee11f20dd940cf2b45c1ddc925a076fa4457b4ac18573", "generator_version": "3.0"}
{"id": "v3_val_00005230", "prompt": "Compute: -30 / (3 * (-26)) * (-8 + (-891))", "solution_steps": ["Multiply: 3 * (-26) = -78", "Divide: -30 / (-78) = 5/13", "Add: -8 + (-891) = -899", "Multiply: (5/13) * (-899) = -4495/13"], "final_answer": "-4495/13", "answer_type": "rational", "kind": "expression", "math_text": "-30 / (3 * (-26)) * (-8 + (-891))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": 3, \"c\": -26, \"d\": -8, \"e\": -891}", "seed": "7095955266403794708", "semantic_fingerprint": "sha256:61bab4facf7186189c207e010ca4109ece5c8f11f6039e37b73ff980cf61f33d", "generator_version": "3.0"}
{"id": "v3_val_00005231", "prompt": "Compute: 6 - (26 + (-48 + 848))", "solution_steps": ["Add: -48 + 848 = 800", "Add: 26 + 800 = 826", "Subtract: 6 - 826 = -820"], "final_answer": "-820", "answer_type": "integer", "kind": "expression", "math_text": "6 - (26 + (-48 + 848))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 26, \"c\": -48, \"d\": 848}", "seed": "5697178245894204280", "semantic_fingerprint": "sha256:51110a8dfdd1afae005f36b1deac382fcc7460226aeff6f8f6b9027d5b62cbea", "generator_version": "3.0"}
{"id": "v3_val_00005232", "prompt": "Calculate: 93 * (-7) - (-42) - 42 * (-352 - (-883))", "solution_steps": ["Multiply: 93 * (-7) = -651", "Subtract: -651 - (-42) = -609", "Subtract: -352 - (-883) = 531", "Multiply: 42 * 531 = 22302", "Subtract: -609 - 22302 = -22911"], "final_answer": "-22911", "answer_type": "integer", "kind": "expression", "math_text": "93 * (-7) - (-42) - 42 * (-352 - (-883))", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) n) (* n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -7, \"c\": -42, \"d\": 42, \"e\": -352, \"f\": -883}", "seed": "9721098069564125129", "semantic_fingerprint": "sha256:525fc4ca7b678b4603df1e31cd7490f3b0a89edb88fece47238c882c8e301544", "generator_version": "3.0"}
{"id": "v3_val_00005233", "prompt": "What is (967 + 47 * 673) / ((-510 - 57) / 10)?", "solution_steps": ["Multiply: 47 * 673 = 31631", "Add: 967 + 31631 = 32598", "Subtract: -510 - 57 = -567", "Divide: -567 / 10 = -567/10", "Divide: 32598 / (-567/10) = -36220/63"], "final_answer": "-36220/63", "answer_type": "rational", "kind": "expression", "math_text": "(967 + 47 * 673) / ((-510 - 57) / 10)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (* n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 967, \"b\": 47, \"c\": 673, \"d\": -510, \"e\": 57, \"f\": 10}", "seed": "10391232023668097870", "semantic_fingerprint": "sha256:d7a8cfbe5ad5351315f1e9861d50c3e192701fae3cdebc111c85db5c00df2fbe", "generator_version": "3.0"}
{"id": "v3_val_00005234", "prompt": "Calculate: -68 - (-3)", "solution_steps": ["Subtract: -68 - (-3) = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "-68 - (-3)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -3}", "seed": "6436516763006340273", "semantic_fingerprint": "sha256:a55c2338e9387b21f9152ee8ccc62a29e1e7c3f819d84dee9177ad5b29876a7d", "generator_version": "3.0"}
{"id": "v3_val_00005235", "prompt": "What is 312 * (-6)?", "solution_steps": ["Multiply: 312 * (-6) = -1872"], "final_answer": "-1872", "answer_type": "integer", "kind": "expression", "math_text": "312 * (-6)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 312, \"b\": -6}", "seed": "14791298972904861855", "semantic_fingerprint": "sha256:39359e15b02857ea8ba4448f0494e3daf50698a0f8d138af62fae35c49238eb6", "generator_version": "3.0"}
{"id": "v3_val_00005236", "prompt": "Evaluate: 946 / (-8) - (-4)", "solution_steps": ["Divide: 946 / (-8) = -473/4", "Subtract: -473/4 - (-4) = -457/4"], "final_answer": "-457/4", "answer_type": "rational", "kind": "expression", "math_text": "946 / (-8) - (-4)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 946, \"b\": -8, \"c\": -4}", "seed": "6858617576141746848", "semantic_fingerprint": "sha256:a892e6c82a9694928434f168293ad07f7c549de54fb3275354ce63a26c208744", "generator_version": "3.0"}
{"id": "v3_val_00005237", "prompt": "Calculate: 17 * 35 - 0", "solution_steps": ["Multiply: 17 * 35 = 595", "Subtract: 595 - 0 = 595"], "final_answer": "595", "answer_type": "integer", "kind": "expression", "math_text": "17 * 35 - 0", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 35, \"c\": 0}", "seed": "16540264361446007685", "semantic_fingerprint": "sha256:d7828280d30d3fd9b776572d27ebf17ba6fcf11e9f8ef284cb9291b89023160f", "generator_version": "3.0"}
{"id": "v3_val_00005238", "prompt": "Solve for x: 5(x + 43) = -12x", "solution_steps": ["Expand: 5x + 215 = -12x", "Add 12x to both sides: 17x + 215 = 0", "Subtract 215 from both sides: 17x = -215", "Divide both sides by 17: x = -215/17"], "final_answer": "-215/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 43) = -12x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 43, \"c\": -12}", "seed": "1514526581815604389", "semantic_fingerprint": "sha256:32da105ae77fa97a07ebc13f2a397b95f8a64eed08e4e10eba3d7820965bdc8f", "generator_version": "3.0"}
{"id": "v3_val_00005239", "prompt": "Compute: 49 / (-635) + (-33 - 6) - (131 + (-522))", "solution_steps": ["Divide: 49 / (-635) = -49/635", "Subtract: -33 - 6 = -39", "Add: -49/635 + (-39) = -24814/635", "Add: 131 + (-522) = -391", "Subtract: -24814/635 - (-391) = 223471/635"], "final_answer": "223471/635", "answer_type": "rational", "kind": "expression", "math_text": "49 / (-635) + (-33 - 6) - (131 + (-522))", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -635, \"c\": -33, \"d\": 6, \"e\": 131, \"f\": -522}", "seed": "7868931958253128590", "semantic_fingerprint": "sha256:9b579d6aac01dc720b6f25fb1afab4b4d9cfeb1b26477776149c96eb04070a95", "generator_version": "3.0"}
{"id": "v3_val_00005240", "prompt": "Calculate: 6 + 9 * 511", "solution_steps": ["Multiply: 9 * 511 = 4599", "Add: 6 + 4599 = 4605"], "final_answer": "4605", "answer_type": "integer", "kind": "expression", "math_text": "6 + 9 * 511", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 511}", "seed": "15219097536298033512", "semantic_fingerprint": "sha256:59afd7f506a82ea0d6de6465d2ca9396f357d5178a96a853ed2a0010bdf865ee", "generator_version": "3.0"}
{"id": "v3_val_00005241", "prompt": "What is 17 - (-86) - (-58)?", "solution_steps": ["Subtract: 17 - (-86) = 103", "Subtract: 103 - (-58) = 161"], "final_answer": "161", "answer_type": "integer", "kind": "expression", "math_text": "17 - (-86) - (-58)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -86, \"c\": -58}", "seed": "18003077529702398141", "semantic_fingerprint": "sha256:f7f51828c9ea51855bfd2ebd0300337c9622f3b2e89aae4240d5d66d39fa8354", "generator_version": "3.0"}
{"id": "v3_val_00005242", "prompt": "What value of x satisfies 10x - 1 = -6(x - 5) + 769?", "solution_steps": ["Expand: 10x - 1 = -6x + 30 + 769", "Combine constants: 10x - 1 = -6x + 799", "Add 6x to both sides: 16x - 1 = 799", "Add 1 to both sides: 16x = 800", "Divide both sides by 16: x = 50"], "final_answer": "50", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 1 = -6(x - 5) + 769", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": -6, \"d\": 5, \"e\": 769}", "seed": "5019159501083433725", "semantic_fingerprint": "sha256:22d50b603c5b620e25185ed0d59e4c1238fac46778e75905bd2e5f4d3dd38345", "generator_version": "3.0"}
{"id": "v3_val_00005243", "prompt": "Compute: -5 + 30 + (-293) - 7", "solution_steps": ["Add: -5 + 30 = 25", "Add: 25 + (-293) = -268", "Subtract: -268 - 7 = -275"], "final_answer": "-275", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 30 + (-293) - 7", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 30, \"c\": -293, \"d\": 7}", "seed": "12831793379326399432", "semantic_fingerprint": "sha256:3caa3da8e81f9c180483819f8a689eb86c625319bc49f2801fa25f5e6d3aa206", "generator_version": "3.0"}
{"id": "v3_val_00005244", "prompt": "What is 8 / 47 + (-370) + 2?", "solution_steps": ["Divide: 8 / 47 = 8/47", "Add: 8/47 + (-370) = -17382/47", "Add: -17382/47 + 2 = -17288/47"], "final_answer": "-17288/47", "answer_type": "rational", "kind": "expression", "math_text": "8 / 47 + (-370) + 2", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 47, \"c\": -370, \"d\": 2}", "seed": "15701280375272094943", "semantic_fingerprint": "sha256:782dee69ccfaba286ba829f494517264d34ccfc3ef1cf8a24ef778349d495034", "generator_version": "3.0"}
{"id": "v3_val_00005245", "prompt": "Find x: x = 2(x - 65) + 96", "solution_steps": ["Expand: x = 2x - 130 + 96", "Combine constants: x = 2x - 34", "Subtract 2x from both sides: -x = -34", "Divide both sides by -1: x = 34"], "final_answer": "34", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x - 65) + 96", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 65, \"c\": 96}", "seed": "12310885695933058218", "semantic_fingerprint": "sha256:356c796680d7d591c0def4913e87467e28906a23331f273d222ecc782318ce59", "generator_version": "3.0"}
{"id": "v3_val_00005246", "prompt": "What is -4 / (-78 + 34)?", "solution_steps": ["Add: -78 + 34 = -44", "Divide: -4 / (-44) = 1/11"], "final_answer": "1/11", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-78 + 34)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -78, \"c\": 34}", "seed": "593578057520826883", "semantic_fingerprint": "sha256:a1258e955e9f37b8b55e1da6290907c3772dc8718683c6e53c4d7646d35a0951", "generator_version": "3.0"}
{"id": "v3_val_00005247", "prompt": "Calculate: 2 * (4 - (-855 + 0))", "solution_steps": ["Add: -855 + 0 = -855", "Subtract: 4 - (-855) = 859", "Multiply: 2 * 859 = 1718"], "final_answer": "1718", "answer_type": "integer", "kind": "expression", "math_text": "2 * (4 - (-855 + 0))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": -855, \"d\": 0}", "seed": "12532222352583130161", "semantic_fingerprint": "sha256:b54126567ca44c6fcfb600fb98947e873c40907ba39c8df0c2e57dc2b7b72a3b", "generator_version": "3.0"}
{"id": "v3_val_00005248", "prompt": "Compute: -6 * 65 / (438 * 77)", "solution_steps": ["Multiply: -6 * 65 = -390", "Multiply: 438 * 77 = 33726", "Divide: -390 / 33726 = -65/5621"], "final_answer": "-65/5621", "answer_type": "rational", "kind": "expression", "math_text": "-6 * 65 / (438 * 77)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 65, \"c\": 438, \"d\": 77}", "seed": "8693817119313561420", "semantic_fingerprint": "sha256:0a895aea474129cadc0763cf23d4a7e9ee91bf7bbeb9554e6cecf0bc30faaace", "generator_version": "3.0"}
{"id": "v3_val_00005249", "prompt": "Evaluate: (6 + 26) / (-70 / (-180) / (-7 / 18))", "solution_steps": ["Add: 6 + 26 = 32", "Divide: -70 / (-180) = 7/18", "Divide: -7 / 18 = -7/18", "Divide: (7/18) / (-7/18) = -1", "Divide: 32 / (-1) = -32"], "final_answer": "-32", "answer_type": "integer", "kind": "expression", "math_text": "(6 + 26) / (-70 / (-180) / (-7 / 18))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (/ (/ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 26, \"c\": -70, \"d\": -180, \"e\": -7, \"f\": 18}", "seed": "112624202227777717", "semantic_fingerprint": "sha256:1394ac81ff7c7812b8121cf0d684fcda77e94c5e7eaaf45749fdfffa7dd43d71", "generator_version": "3.0"}
{"id": "v3_val_00005250", "prompt": "What is -94 * 57 + (301 * 513 - 869 - (-80))?", "solution_steps": ["Multiply: -94 * 57 = -5358", "Multiply: 301 * 513 = 154413", "Subtract: 154413 - 869 = 153544", "Subtract: 153544 - (-80) = 153624", "Add: -5358 + 153624 = 148266"], "final_answer": "148266", "answer_type": "integer", "kind": "expression", "math_text": "-94 * 57 + (301 * 513 - 869 - (-80))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (- (- (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 57, \"c\": 301, \"d\": 513, \"e\": 869, \"f\": -80}", "seed": "3345661079688207963", "semantic_fingerprint": "sha256:47099a223cdb505255e943e8cc93d4ce5971554c3629e26548376c1795669042", "generator_version": "3.0"}
{"id": "v3_val_00005251", "prompt": "Compute: 78 + 50 + (-11 - (816 + (-95 + (-377))))", "solution_steps": ["Add: 78 + 50 = 128", "Add: -95 + (-377) = -472", "Add: 816 + (-472) = 344", "Subtract: -11 - 344 = -355", "Add: 128 + (-355) = -227"], "final_answer": "-227", "answer_type": "integer", "kind": "expression", "math_text": "78 + 50 + (-11 - (816 + (-95 + (-377))))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (+ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 50, \"c\": -11, \"d\": 816, \"e\": -95, \"f\": -377}", "seed": "9397511085292161649", "semantic_fingerprint": "sha256:5380fd07ca9fd638cb9918e0249710ee48be0b4d10b830975b30a429be09ca19", "generator_version": "3.0"}
{"id": "v3_val_00005252", "prompt": "Calculate: 833 - (-7) - 0 + 0", "solution_steps": ["Subtract: 833 - (-7) = 840", "Subtract: 840 - 0 = 840", "Add: 840 + 0 = 840"], "final_answer": "840", "answer_type": "integer", "kind": "expression", "math_text": "833 - (-7) - 0 + 0", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 833, \"b\": -7, \"c\": 0, \"d\": 0}", "seed": "8120338790327068618", "semantic_fingerprint": "sha256:733cf17e792b2a3613834936e28c7c4ddda9f6e27f8f604d985d0a478f60c3e3", "generator_version": "3.0"}
{"id": "v3_val_00005253", "prompt": "Find x: x = 4(x - 237) - 97", "solution_steps": ["Expand: x = 4x - 948 - 97", "Combine constants: x = 4x - 1045", "Subtract 4x from both sides: -3x = -1045", "Divide both sides by -3: x = 1045/3"], "final_answer": "1045/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 4(x - 237) - 97", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 237, \"c\": 97}", "seed": "14367206729007766569", "semantic_fingerprint": "sha256:77efd84ccf76687fedac9ff2037dc0a43874f08879cfca0fb8dd17f7c2e6a689", "generator_version": "3.0"}
{"id": "v3_val_00005254", "prompt": "Compute: 92 / (-563 - 463 * 0 + (-79))", "solution_steps": ["Multiply: 463 * 0 = 0", "Subtract: -563 - 0 = -563", "Add: -563 + (-79) = -642", "Divide: 92 / (-642) = -46/321"], "final_answer": "-46/321", "answer_type": "rational", "kind": "expression", "math_text": "92 / (-563 - 463 * 0 + (-79))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -563, \"c\": 463, \"d\": 0, \"e\": -79}", "seed": "6163423510256066721", "semantic_fingerprint": "sha256:67feb8fc282324b16b61468d062d8c18dfc71b76850629502ba1b2a7899a6286", "generator_version": "3.0"}
{"id": "v3_val_00005255", "prompt": "Evaluate: 23 * (17 - (-85 + (-2)))", "solution_steps": ["Add: -85 + (-2) = -87", "Subtract: 17 - (-87) = 104", "Multiply: 23 * 104 = 2392"], "final_answer": "2392", "answer_type": "integer", "kind": "expression", "math_text": "23 * (17 - (-85 + (-2)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 17, \"c\": -85, \"d\": -2}", "seed": "4996856694228603797", "semantic_fingerprint": "sha256:cab6da102b385c164eb05feabbf84293fec4e91e7888ba8a93480e1040de3723", "generator_version": "3.0"}
{"id": "v3_val_00005256", "prompt": "Compute: 6 * (-901 + (-6) - (-717) * 4)", "solution_steps": ["Add: -901 + (-6) = -907", "Multiply: -717 * 4 = -2868", "Subtract: -907 - (-2868) = 1961", "Multiply: 6 * 1961 = 11766"], "final_answer": "11766", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-901 + (-6) - (-717) * 4)", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -901, \"c\": -6, \"d\": -717, \"e\": 4}", "seed": "13508039235368378547", "semantic_fingerprint": "sha256:489d77f237d059eae520d4ed036a0648e4cb42b496ed671ba22dd16eab1a49ac", "generator_version": "3.0"}
{"id": "v3_val_00005257", "prompt": "Find x: -9x = -4(x - 6) - 86", "solution_steps": ["Expand: -9x = -4x + 24 - 86", "Combine constants: -9x = -4x - 62", "Add 4x to both sides: -5x = -62", "Divide both sides by -5: x = 62/5"], "final_answer": "62/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x = -4(x - 6) - 86", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -4, \"c\": 6, \"d\": 86}", "seed": "11120286392702055270", "semantic_fingerprint": "sha256:dff3075f45b3895598ee8be127d095ded9871cc4154413e3046d8f9ba20bc2c7", "generator_version": "3.0"}
{"id": "v3_val_00005258", "prompt": "What is -72 * (-40) * (-2 - (-65)) + (-266 + (-846))?", "solution_steps": ["Multiply: -72 * (-40) = 2880", "Subtract: -2 - (-65) = 63", "Multiply: 2880 * 63 = 181440", "Add: -266 + (-846) = -1112", "Add: 181440 + (-1112) = 180328"], "final_answer": "180328", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (-40) * (-2 - (-65)) + (-266 + (-846))", "variable": null, "family": "expression_5op", "shape": "(+ (* (* n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -40, \"c\": -2, \"d\": -65, \"e\": -266, \"f\": -846}", "seed": "10874436164890881923", "semantic_fingerprint": "sha256:cc640e1ff4bc1f354a6a6a7a4824369c1ebebc9b4663c06c96c8c6641e4389c2", "generator_version": "3.0"}
{"id": "v3_val_00005259", "prompt": "What is 75 - (-5) * (-74) + 6?", "solution_steps": ["Multiply: -5 * (-74) = 370", "Subtract: 75 - 370 = -295", "Add: -295 + 6 = -289"], "final_answer": "-289", "answer_type": "integer", "kind": "expression", "math_text": "75 - (-5) * (-74) + 6", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -5, \"c\": -74, \"d\": 6}", "seed": "8922663381462086662", "semantic_fingerprint": "sha256:0078f5e610a975e9a7f7a6efe38e88fe00e32c0c13dbe2c8a1c83feaf5221963", "generator_version": "3.0"}
{"id": "v3_val_00005260", "prompt": "Evaluate: -440 / (86 - (-3)) / (-8)", "solution_steps": ["Subtract: 86 - (-3) = 89", "Divide: -440 / 89 = -440/89", "Divide: (-440/89) / (-8) = 55/89"], "final_answer": "55/89", "answer_type": "rational", "kind": "expression", "math_text": "-440 / (86 - (-3)) / (-8)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -440, \"b\": 86, \"c\": -3, \"d\": -8}", "seed": "6728120182709568923", "semantic_fingerprint": "sha256:b376d9a1892db51f30d9e59a9fe97e5411dafb23522a12e25b2d7a8933736388", "generator_version": "3.0"}
{"id": "v3_val_00005261", "prompt": "Calculate: (-5 - 230) * (598 / 26 + (-17))", "solution_steps": ["Subtract: -5 - 230 = -235", "Divide: 598 / 26 = 23", "Add: 23 + (-17) = 6", "Multiply: -235 * 6 = -1410"], "final_answer": "-1410", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - 230) * (598 / 26 + (-17))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 230, \"c\": 598, \"d\": 26, \"e\": -17}", "seed": "10737374036521308502", "semantic_fingerprint": "sha256:dd7901a48b9a1645bc6b35664b0f45c06edfbfbce943500b43abf20ba2a240d8", "generator_version": "3.0"}
{"id": "v3_val_00005262", "prompt": "Find x: 4(x + 2) + 6 = -4(x + 43) + 106", "solution_steps": ["Expand: 4x + 8 + 6 = -4(x + 43) + 106", "Expand: 4x + 8 + 6 = -4x - 172 + 106", "Combine constants: 4x + 14 = -4x - 172 + 106", "Combine constants: 4x + 14 = -4x - 66", "Add 4x to both sides: 8x + 14 = -66", "Subtract 14 from both sides: 8x = -80", "Divide both sides by 8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 2) + 6 = -4(x + 43) + 106", "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\": 6, \"d\": -4, \"e\": 43, \"g\": 106, \"x\": -10}", "seed": "7705594215687478372", "semantic_fingerprint": "sha256:313211a98b6f2edf42cc30420d820abb2b326b086ea1beb49870a26d9a14dcc9", "generator_version": "3.0"}
{"id": "v3_val_00005263", "prompt": "Solve for x: 7x = x - 72", "solution_steps": ["Subtract x from both sides: 6x = -72", "Divide both sides by 6: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = x - 72", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": -72, \"x\": -12}", "seed": "13698140440398762625", "semantic_fingerprint": "sha256:b8b2d9a89ccc262d6ef01e132c0861e2f24238b65606fce8cbc57b2a62a48f6f", "generator_version": "3.0"}
{"id": "v3_val_00005264", "prompt": "Calculate: 9 - 7 / (-7) / 8", "solution_steps": ["Divide: 7 / (-7) = -1", "Divide: -1 / 8 = -1/8", "Subtract: 9 - (-1/8) = 73/8"], "final_answer": "73/8", "answer_type": "rational", "kind": "expression", "math_text": "9 - 7 / (-7) / 8", "variable": null, "family": "expression_3op", "shape": "(- n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": -7, \"d\": 8}", "seed": "5256211682641255271", "semantic_fingerprint": "sha256:d0c86541592744bce23ddf174891412124e364dedb21d5b2c324e27d36076f0e", "generator_version": "3.0"}
{"id": "v3_val_00005265", "prompt": "Evaluate: 4 / (23 / 459)", "solution_steps": ["Divide: 23 / 459 = 23/459", "Divide: 4 / (23/459) = 1836/23"], "final_answer": "1836/23", "answer_type": "rational", "kind": "expression", "math_text": "4 / (23 / 459)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 23, \"c\": 459}", "seed": "13612480510109752058", "semantic_fingerprint": "sha256:ce0f89e8ed5f2658c7f421bb81d6c2bcd46cd9a02d76160ee9120614d6f68cc1", "generator_version": "3.0"}
{"id": "v3_val_00005266", "prompt": "Solve for x: 9x = 625", "solution_steps": ["Divide both sides by 9: x = 625/9"], "final_answer": "625/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = 625", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 625}", "seed": "10123622948277569959", "semantic_fingerprint": "sha256:ce14558a3aca372b4e4d099ac8eb1d64b42da17a7d32504df16d7417fb1362db", "generator_version": "3.0"}
{"id": "v3_val_00005267", "prompt": "What is -44 + (-511 - (-30)) + (-290 - (-2))?", "solution_steps": ["Subtract: -511 - (-30) = -481", "Add: -44 + (-481) = -525", "Subtract: -290 - (-2) = -288", "Add: -525 + (-288) = -813"], "final_answer": "-813", "answer_type": "integer", "kind": "expression", "math_text": "-44 + (-511 - (-30)) + (-290 - (-2))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -511, \"c\": -30, \"d\": -290, \"e\": -2}", "seed": "1756432339388423033", "semantic_fingerprint": "sha256:97d63295e2babda9eca0550a21bc95523f73a2c753fb878a21c5acd477f4a57d", "generator_version": "3.0"}
{"id": "v3_val_00005268", "prompt": "What value of x satisfies 6(x - 85) = 3(x + 447)?", "solution_steps": ["Expand: 6x - 510 = 3(x + 447)", "Expand: 6x - 510 = 3x + 1341", "Subtract 3x from both sides: 3x - 510 = 1341", "Add 510 to both sides: 3x = 1851", "Divide both sides by 3: x = 617"], "final_answer": "617", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 85) = 3(x + 447)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 85, \"c\": 3, \"d\": 447}", "seed": "17131252431540029442", "semantic_fingerprint": "sha256:a3fcb43f4aac2ada4d9ecdf6b75ba32d280553406288d7ca1c4f17a9a7436eba", "generator_version": "3.0"}
{"id": "v3_val_00005269", "prompt": "What is 9 + 1 + 48?", "solution_steps": ["Add: 9 + 1 = 10", "Add: 10 + 48 = 58"], "final_answer": "58", "answer_type": "integer", "kind": "expression", "math_text": "9 + 1 + 48", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 48}", "seed": "8108685432579818427", "semantic_fingerprint": "sha256:f5907501ee83a5dccc77b16f45dfa22e1830b698762fd1a1228980adb343a6e3", "generator_version": "3.0"}
{"id": "v3_val_00005270", "prompt": "What value of x satisfies -4(x - 236) + 2 = 954?", "solution_steps": ["Expand: -4x + 944 + 2 = 954", "Combine constants: -4x + 946 = 954", "Subtract 946 from both sides: -4x = 8", "Divide both sides by -4: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 236) + 2 = 954", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 236, \"c\": 2, \"e\": 954, \"x\": -2}", "seed": "14627367564966063634", "semantic_fingerprint": "sha256:5d78f1b6f767f39b5383b29c9e987cbdc3ede3e6baf4500482e99c807e2398a0", "generator_version": "3.0"}
{"id": "v3_val_00005271", "prompt": "Calculate: 845 + 86 + (-818)", "solution_steps": ["Add: 845 + 86 = 931", "Add: 931 + (-818) = 113"], "final_answer": "113", "answer_type": "integer", "kind": "expression", "math_text": "845 + 86 + (-818)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 845, \"b\": 86, \"c\": -818}", "seed": "12974919318495020330", "semantic_fingerprint": "sha256:8539524b999b77729e86f3b840fa013b1928ad9ee10dc5744ef439d503bb695a", "generator_version": "3.0"}
{"id": "v3_val_00005272", "prompt": "What is -146 - (-393 + 488)?", "solution_steps": ["Add: -393 + 488 = 95", "Subtract: -146 - 95 = -241"], "final_answer": "-241", "answer_type": "integer", "kind": "expression", "math_text": "-146 - (-393 + 488)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -146, \"b\": -393, \"c\": 488}", "seed": "5176288032369738223", "semantic_fingerprint": "sha256:78f0ac4e24c53b818a92ac13c627dbcbc19de8f46acf21d050b75e163445ea3c", "generator_version": "3.0"}
{"id": "v3_val_00005273", "prompt": "What is -497 / (-3) * (-53) + 0?", "solution_steps": ["Divide: -497 / (-3) = 497/3", "Multiply: (497/3) * (-53) = -26341/3", "Add: -26341/3 + 0 = -26341/3"], "final_answer": "-26341/3", "answer_type": "rational", "kind": "expression", "math_text": "-497 / (-3) * (-53) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -497, \"b\": -3, \"c\": -53, \"d\": 0}", "seed": "11691661024752991721", "semantic_fingerprint": "sha256:ac32c5cc9507109a2c13404d5bec9545c8f2aef2da8de1932c501fc044e21940", "generator_version": "3.0"}
{"id": "v3_val_00005274", "prompt": "Compute: -79 * (-670 + (342 - 39))", "solution_steps": ["Subtract: 342 - 39 = 303", "Add: -670 + 303 = -367", "Multiply: -79 * (-367) = 28993"], "final_answer": "28993", "answer_type": "integer", "kind": "expression", "math_text": "-79 * (-670 + (342 - 39))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -670, \"c\": 342, \"d\": 39}", "seed": "8851600525660141613", "semantic_fingerprint": "sha256:f256298d15b764f40451a8d6416d3158bedb4ddd035cd197d45c06a21a2edde3", "generator_version": "3.0"}
{"id": "v3_val_00005275", "prompt": "Solve for x: x = 9(x + 396) + 438", "solution_steps": ["Expand: x = 9x + 3564 + 438", "Combine constants: x = 9x + 4002", "Subtract 9x from both sides: -8x = 4002", "Divide both sides by -8: x = -2001/4"], "final_answer": "-2001/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 9(x + 396) + 438", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 396, \"c\": 438}", "seed": "4638279304991383449", "semantic_fingerprint": "sha256:bd13288cbe1c097d1cfbd6ba2fc2bfcaadc9cc271a78898c9adb101cff3b3aa9", "generator_version": "3.0"}
{"id": "v3_val_00005276", "prompt": "Calculate: -419 / (0 - (-82)) / (-90) * (-83)", "solution_steps": ["Subtract: 0 - (-82) = 82", "Divide: -419 / 82 = -419/82", "Divide: (-419/82) / (-90) = 419/7380", "Multiply: (419/7380) * (-83) = -34777/7380"], "final_answer": "-34777/7380", "answer_type": "rational", "kind": "expression", "math_text": "-419 / (0 - (-82)) / (-90) * (-83)", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -419, \"b\": 0, \"c\": -82, \"d\": -90, \"e\": -83}", "seed": "9691210623432621725", "semantic_fingerprint": "sha256:36ddbf7ef138818f74007ff522ca7dd734c0a7a6b77864d9398c10fcd5e9ed3d", "generator_version": "3.0"}
{"id": "v3_val_00005277", "prompt": "Calculate: 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": "16852322450672208272", "semantic_fingerprint": "sha256:35abdb9abe2499cbee6fce119cf0cdf2d8f7b798369e1b1e4f8bffe07083968b", "generator_version": "3.0"}
{"id": "v3_val_00005278", "prompt": "Compute: -8 - (44 - (-9))", "solution_steps": ["Subtract: 44 - (-9) = 53", "Subtract: -8 - 53 = -61"], "final_answer": "-61", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (44 - (-9))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 44, \"c\": -9}", "seed": "2836768514854434442", "semantic_fingerprint": "sha256:f016c45e0df131c8e51d2f87b11f5c333126feb54b644938bcd3881deac1fd5b", "generator_version": "3.0"}
{"id": "v3_val_00005279", "prompt": "What is 42 - 978 + (-45)?", "solution_steps": ["Subtract: 42 - 978 = -936", "Add: -936 + (-45) = -981"], "final_answer": "-981", "answer_type": "integer", "kind": "expression", "math_text": "42 - 978 + (-45)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 978, \"c\": -45}", "seed": "605478399105425353", "semantic_fingerprint": "sha256:8367606e89f0486b3dba26e357ff1ea4fc41853ff3f2cefa4b574f39e6455c19", "generator_version": "3.0"}
{"id": "v3_val_00005280", "prompt": "Evaluate: -81 - (-3)", "solution_steps": ["Subtract: -81 - (-3) = -78"], "final_answer": "-78", "answer_type": "integer", "kind": "expression", "math_text": "-81 - (-3)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -3}", "seed": "7789521308683474141", "semantic_fingerprint": "sha256:42ee3bc245e71e82a826f00e3bea795ab136341954eb4ad8a38803231c6b98a6", "generator_version": "3.0"}
{"id": "v3_val_00005281", "prompt": "Compute: 115 / (-260 - 5)", "solution_steps": ["Subtract: -260 - 5 = -265", "Divide: 115 / (-265) = -23/53"], "final_answer": "-23/53", "answer_type": "rational", "kind": "expression", "math_text": "115 / (-260 - 5)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 115, \"b\": -260, \"c\": 5}", "seed": "18152916569174674360", "semantic_fingerprint": "sha256:b4550e03016167e7936cbcc6dd76d933478a2e0005894d01d84de835cf3f80e7", "generator_version": "3.0"}
{"id": "v3_val_00005282", "prompt": "What is 5 / (4 / (-41) - (-14))?", "solution_steps": ["Divide: 4 / (-41) = -4/41", "Subtract: -4/41 - (-14) = 570/41", "Divide: 5 / (570/41) = 41/114"], "final_answer": "41/114", "answer_type": "rational", "kind": "expression", "math_text": "5 / (4 / (-41) - (-14))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": -41, \"d\": -14}", "seed": "16862810117793218983", "semantic_fingerprint": "sha256:fb3b627e2887134f892e6f9f68a835ab38901dae18b55739a18235e98f7562ab", "generator_version": "3.0"}
{"id": "v3_val_00005283", "prompt": "Solve for x: -11x = x + 6", "solution_steps": ["Subtract x from both sides: -12x = 6", "Divide both sides by -12: x = -1/2"], "final_answer": "-1/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x = x + 6", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6}", "seed": "425775251952439088", "semantic_fingerprint": "sha256:b57f7f4cba43e62ccc5630b0bf28714b8f28e05e70615781656e4d76ee986521", "generator_version": "3.0"}
{"id": "v3_val_00005284", "prompt": "What value of x satisfies 4(x + 9) = -12(x - 23)?", "solution_steps": ["Expand: 4x + 36 = -12(x - 23)", "Expand: 4x + 36 = -12x + 276", "Add 12x to both sides: 16x + 36 = 276", "Subtract 36 from both sides: 16x = 240", "Divide both sides by 16: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 9) = -12(x - 23)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": -12, \"d\": 23}", "seed": "18074515090145842807", "semantic_fingerprint": "sha256:e8eae92def2729f77b6bee2b349226a24d5508e30d16d5eabdf6b16f0fa36fb0", "generator_version": "3.0"}
{"id": "v3_val_00005285", "prompt": "Find x: 6x = 5(x + 835)", "solution_steps": ["Expand: 6x = 5x + 4175", "Subtract 5x from both sides: x = 4175"], "final_answer": "4175", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 5(x + 835)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 835}", "seed": "5421481328329266008", "semantic_fingerprint": "sha256:8c7eed4e6f41f3443705af179f3732cde092d7c8d95a0170b70cb6d4e2e3d8bc", "generator_version": "3.0"}
{"id": "v3_val_00005286", "prompt": "Calculate: -3 * ((303 - (-15)) / (-11 - 20 / 2))", "solution_steps": ["Subtract: 303 - (-15) = 318", "Divide: 20 / 2 = 10", "Subtract: -11 - 10 = -21", "Divide: 318 / (-21) = -106/7", "Multiply: -3 * (-106/7) = 318/7"], "final_answer": "318/7", "answer_type": "rational", "kind": "expression", "math_text": "-3 * ((303 - (-15)) / (-11 - 20 / 2))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (- n n) (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 303, \"c\": -15, \"d\": -11, \"e\": 20, \"f\": 2}", "seed": "1156311021656434643", "semantic_fingerprint": "sha256:7d42320039604a73eb9663aac67e9cb0d3c285373433c99934ced196aaf9d305", "generator_version": "3.0"}
{"id": "v3_val_00005287", "prompt": "What is -71 / (482 / (-9))?", "solution_steps": ["Divide: 482 / (-9) = -482/9", "Divide: -71 / (-482/9) = 639/482"], "final_answer": "639/482", "answer_type": "rational", "kind": "expression", "math_text": "-71 / (482 / (-9))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 482, \"c\": -9}", "seed": "15802063486909495704", "semantic_fingerprint": "sha256:523e98dfeb1a2890867848d7d4d845bd6567e9c73ef406f28a55606e9af5862f", "generator_version": "3.0"}
{"id": "v3_val_00005288", "prompt": "Find x: x + 48 = 3x + 76", "solution_steps": ["Subtract 3x from both sides: -2x + 48 = 76", "Subtract 48 from both sides: -2x = 28", "Divide both sides by -2: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 48 = 3x + 76", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 3, \"d\": 76, \"x\": -14}", "seed": "9835102623665145108", "semantic_fingerprint": "sha256:61eb9f612ecc98147ae05425e2e6e9aec70daa32cc822415ed12880803d0e5ec", "generator_version": "3.0"}
{"id": "v3_val_00005289", "prompt": "Calculate: 9 - 57 * 98", "solution_steps": ["Multiply: 57 * 98 = 5586", "Subtract: 9 - 5586 = -5577"], "final_answer": "-5577", "answer_type": "integer", "kind": "expression", "math_text": "9 - 57 * 98", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 57, \"c\": 98}", "seed": "14707551604755791681", "semantic_fingerprint": "sha256:e51ad52c601fcdf2cafea4683bbd164c7627a23d55e4ad8b63216328db4762f4", "generator_version": "3.0"}
{"id": "v3_val_00005290", "prompt": "Calculate: -1 / (-1)", "solution_steps": ["Divide: -1 / (-1) = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "-1 / (-1)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -1}", "seed": "17383183985686392343", "semantic_fingerprint": "sha256:4cbb574acc467b53fcfdc9e9ad3ba24f41f3cb2f524d1dbcaf6e6585380c6be7", "generator_version": "3.0"}
{"id": "v3_val_00005291", "prompt": "Calculate: -771 - (-953)", "solution_steps": ["Subtract: -771 - (-953) = 182"], "final_answer": "182", "answer_type": "integer", "kind": "expression", "math_text": "-771 - (-953)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -771, \"b\": -953}", "seed": "3633521792134539277", "semantic_fingerprint": "sha256:a1e037179adab9eaebf05abf001418953ef0241a91a27781b3dd1102624715a9", "generator_version": "3.0"}
{"id": "v3_val_00005292", "prompt": "Solve the equation 3(x - 7) = -78 for x.", "solution_steps": ["Expand: 3x - 21 = -78", "Add 21 to both sides: 3x = -57", "Divide both sides by 3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 7) = -78", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"d\": -78, \"x\": -19}", "seed": "1179437425959376751", "semantic_fingerprint": "sha256:d13ba61340a1f69d583263a54192e98b92c2d21353f63fc3cf71a71c0812296a", "generator_version": "3.0"}
{"id": "v3_val_00005293", "prompt": "Solve for x: 2(x - 125) - 9 = 5x - 9", "solution_steps": ["Expand: 2x - 250 - 9 = 5x - 9", "Combine constants: 2x - 259 = 5x - 9", "Subtract 5x from both sides: -3x - 259 = -9", "Add 259 to both sides: -3x = 250", "Divide both sides by -3: x = -250/3"], "final_answer": "-250/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 125) - 9 = 5x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 125, \"c\": 9, \"d\": 5, \"e\": 9}", "seed": "17934097814405483298", "semantic_fingerprint": "sha256:eb80defee88a0057f2d5670f0545cdb581343227ca602ddf17c2d396b02d6523", "generator_version": "3.0"}
{"id": "v3_val_00005294", "prompt": "Solve the equation x = 9(x - 3) - 52 for x.", "solution_steps": ["Expand: x = 9x - 27 - 52", "Combine constants: x = 9x - 79", "Subtract 9x from both sides: -8x = -79", "Divide both sides by -8: x = 79/8"], "final_answer": "79/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 9(x - 3) - 52", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 52}", "seed": "10921555835782067644", "semantic_fingerprint": "sha256:1d7d2fadfba032f8a109a36f8850c496617c35357a0727fdeb36b54dd328ad04", "generator_version": "3.0"}
{"id": "v3_val_00005295", "prompt": "Solve for x: 11(x - 48) + 37 = -12x", "solution_steps": ["Expand: 11x - 528 + 37 = -12x", "Combine constants: 11x - 491 = -12x", "Add 12x to both sides: 23x - 491 = 0", "Add 491 to both sides: 23x = 491", "Divide both sides by 23: x = 491/23"], "final_answer": "491/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 48) + 37 = -12x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 48, \"c\": 37, \"d\": -12}", "seed": "5509766719465433532", "semantic_fingerprint": "sha256:af3d6f7e5f4723ce32719169909234981858fba1d37bdcfa7321712f24ef85de", "generator_version": "3.0"}
{"id": "v3_val_00005296", "prompt": "Evaluate: -12 * (-58) / (-528) - (-933)", "solution_steps": ["Multiply: -12 * (-58) = 696", "Divide: 696 / (-528) = -29/22", "Subtract: -29/22 - (-933) = 20497/22"], "final_answer": "20497/22", "answer_type": "rational", "kind": "expression", "math_text": "-12 * (-58) / (-528) - (-933)", "variable": null, "family": "expression_3op", "shape": "(- (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -58, \"c\": -528, \"d\": -933}", "seed": "2906074671209648413", "semantic_fingerprint": "sha256:9d1ffb546ba112b6319c6dbca8f81c7e3bb98d6481f6bd4a9a0a8d98d709fd7e", "generator_version": "3.0"}
{"id": "v3_val_00005297", "prompt": "Compute: 69 - (4 * (0 * (-55) + 9) + (-7))", "solution_steps": ["Multiply: 0 * (-55) = 0", "Add: 0 + 9 = 9", "Multiply: 4 * 9 = 36", "Add: 36 + (-7) = 29", "Subtract: 69 - 29 = 40"], "final_answer": "40", "answer_type": "integer", "kind": "expression", "math_text": "69 - (4 * (0 * (-55) + 9) + (-7))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (* n (+ (* n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 4, \"c\": 0, \"d\": -55, \"e\": 9, \"f\": -7}", "seed": "13169092186320133558", "semantic_fingerprint": "sha256:320ccc2a07623cdae10bd9df4222343998fd2e3e8c5170c5c20664e8135d9037", "generator_version": "3.0"}
{"id": "v3_val_00005298", "prompt": "Evaluate: -3 / 585", "solution_steps": ["Divide: -3 / 585 = -1/195"], "final_answer": "-1/195", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 585", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 585}", "seed": "9638466021154543572", "semantic_fingerprint": "sha256:3b118a4f218984379c11855e1335f3f6ba93a2a98d68bc42b352a70f3036b5d4", "generator_version": "3.0"}
{"id": "v3_val_00005299", "prompt": "Solve for x: -6(x + 9) - 138 = 6x", "solution_steps": ["Expand: -6x - 54 - 138 = 6x", "Combine constants: -6x - 192 = 6x", "Subtract 6x from both sides: -12x - 192 = 0", "Add 192 to both sides: -12x = 192", "Divide both sides by -12: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 9) - 138 = 6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 6, \"e\": -138, \"x\": -16}", "seed": "12202262679795550092", "semantic_fingerprint": "sha256:57acb915c543af85c5f7b65164cf1ff8a382cc1a1551e7c613f6a451a36fd954", "generator_version": "3.0"}
{"id": "v3_val_00005300", "prompt": "Calculate: 647 / (-53) / 71", "solution_steps": ["Divide: 647 / (-53) = -647/53", "Divide: (-647/53) / 71 = -647/3763"], "final_answer": "-647/3763", "answer_type": "rational", "kind": "expression", "math_text": "647 / (-53) / 71", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 647, \"b\": -53, \"c\": 71}", "seed": "1265248267129209803", "semantic_fingerprint": "sha256:61cf885af677bb53d2b805f05311d138524f81534c8f5564ceb9dff19f2c1a8c", "generator_version": "3.0"}
{"id": "v3_val_00005301", "prompt": "Solve the equation -2(x - 6) - 30 = -8x for x.", "solution_steps": ["Expand: -2x + 12 - 30 = -8x", "Combine constants: -2x - 18 = -8x", "Add 8x to 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": "-2(x - 6) - 30 = -8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": -8, \"e\": -30, \"x\": 3}", "seed": "12867402048070413960", "semantic_fingerprint": "sha256:18e4e5bf2560a43e0507e040afd8b59d0777851955a9b18c5929dce4a29c13ae", "generator_version": "3.0"}
{"id": "v3_val_00005302", "prompt": "What is 4 / (-6 + (-49))?", "solution_steps": ["Add: -6 + (-49) = -55", "Divide: 4 / (-55) = -4/55"], "final_answer": "-4/55", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-6 + (-49))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -6, \"c\": -49}", "seed": "6905718720988543090", "semantic_fingerprint": "sha256:f8db9b86b79a8964f1aef66182eff68dded2cffe769d2d4c079656e354d77cfc", "generator_version": "3.0"}
{"id": "v3_val_00005303", "prompt": "Evaluate: -95 - (-65) + (752 - 16)", "solution_steps": ["Subtract: -95 - (-65) = -30", "Subtract: 752 - 16 = 736", "Add: -30 + 736 = 706"], "final_answer": "706", "answer_type": "integer", "kind": "expression", "math_text": "-95 - (-65) + (752 - 16)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -65, \"c\": 752, \"d\": 16}", "seed": "3874364536812494184", "semantic_fingerprint": "sha256:469267f53c649991d3223278fed4a57dd156de805bf3860a4aac237a9cbe392d", "generator_version": "3.0"}
{"id": "v3_val_00005304", "prompt": "What is 461 - 366?", "solution_steps": ["Subtract: 461 - 366 = 95"], "final_answer": "95", "answer_type": "integer", "kind": "expression", "math_text": "461 - 366", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 461, \"b\": 366}", "seed": "13555003801102777336", "semantic_fingerprint": "sha256:762234b84b7d11de1759a46f9bd4994a199b7b6128d88a722fee641d4204023b", "generator_version": "3.0"}
{"id": "v3_val_00005305", "prompt": "Calculate: -2 / 502 * (-4 + (-776)) - 93", "solution_steps": ["Divide: -2 / 502 = -1/251", "Add: -4 + (-776) = -780", "Multiply: (-1/251) * (-780) = 780/251", "Subtract: 780/251 - 93 = -22563/251"], "final_answer": "-22563/251", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 502 * (-4 + (-776)) - 93", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 502, \"c\": -4, \"d\": -776, \"e\": 93}", "seed": "16416400884804303672", "semantic_fingerprint": "sha256:4440c6e61113fe30f7099862cbf47b7734101f0d992521163442341085e3cde3", "generator_version": "3.0"}
{"id": "v3_val_00005306", "prompt": "Calculate: (-3 + (-54)) * (-55 / 49) / 3", "solution_steps": ["Add: -3 + (-54) = -57", "Divide: -55 / 49 = -55/49", "Multiply: -57 * (-55/49) = 3135/49", "Divide: (3135/49) / 3 = 1045/49"], "final_answer": "1045/49", "answer_type": "rational", "kind": "expression", "math_text": "(-3 + (-54)) * (-55 / 49) / 3", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -54, \"c\": -55, \"d\": 49, \"e\": 3}", "seed": "4247177201081943918", "semantic_fingerprint": "sha256:91cfc95b63ca122c7e0104d0ce6facc7d6eff3b0920472d0b324735c78161cde", "generator_version": "3.0"}
{"id": "v3_val_00005307", "prompt": "Find x: 7(x - 51) = -3x + 3", "solution_steps": ["Expand: 7x - 357 = -3x + 3", "Add 3x to both sides: 10x - 357 = 3", "Add 357 to both sides: 10x = 360", "Divide both sides by 10: x = 36"], "final_answer": "36", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 51) = -3x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 51, \"c\": -3, \"d\": 3}", "seed": "13488759774844306318", "semantic_fingerprint": "sha256:8340ecf3273572b96c93d454f5abf7dbcff12e5531ef0bbe2287e3390d446a82", "generator_version": "3.0"}
{"id": "v3_val_00005308", "prompt": "What is (0 - 0 / (-480)) * (-4 - 59)?", "solution_steps": ["Divide: 0 / (-480) = 0", "Subtract: 0 - 0 = 0", "Subtract: -4 - 59 = -63", "Multiply: 0 * (-63) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 0 / (-480)) * (-4 - 59)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": -480, \"d\": -4, \"e\": 59}", "seed": "17603682524324868478", "semantic_fingerprint": "sha256:3d419adcafd8e037c20f105e37b94d6dc8af9357fd3802799ddf49875d801e37", "generator_version": "3.0"}
{"id": "v3_val_00005309", "prompt": "Compute: 75 / (-69 - 310) + 558", "solution_steps": ["Subtract: -69 - 310 = -379", "Divide: 75 / (-379) = -75/379", "Add: -75/379 + 558 = 211407/379"], "final_answer": "211407/379", "answer_type": "rational", "kind": "expression", "math_text": "75 / (-69 - 310) + 558", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -69, \"c\": 310, \"d\": 558}", "seed": "3398607986562800738", "semantic_fingerprint": "sha256:8590a8bc91b5870fb7a2d430e775b162a69d9aff93586dc5c9f9d765c23e8767", "generator_version": "3.0"}
{"id": "v3_val_00005310", "prompt": "Calculate: -44 * (-59 * 22 - (-8)) - (0 - (-4))", "solution_steps": ["Multiply: -59 * 22 = -1298", "Subtract: -1298 - (-8) = -1290", "Multiply: -44 * (-1290) = 56760", "Subtract: 0 - (-4) = 4", "Subtract: 56760 - 4 = 56756"], "final_answer": "56756", "answer_type": "integer", "kind": "expression", "math_text": "-44 * (-59 * 22 - (-8)) - (0 - (-4))", "variable": null, "family": "expression_5op", "shape": "(- (* n (- (* n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -59, \"c\": 22, \"d\": -8, \"e\": 0, \"f\": -4}", "seed": "11894728618872678188", "semantic_fingerprint": "sha256:838aaba3b44c76a1d8f70b3f4e43ccfe48fd431c8aaa1a43909828f9bca19b4f", "generator_version": "3.0"}
{"id": "v3_val_00005311", "prompt": "What is 84 * (-3) - (-23)?", "solution_steps": ["Multiply: 84 * (-3) = -252", "Subtract: -252 - (-23) = -229"], "final_answer": "-229", "answer_type": "integer", "kind": "expression", "math_text": "84 * (-3) - (-23)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -3, \"c\": -23}", "seed": "276582350392587061", "semantic_fingerprint": "sha256:8c2432eec8ffcca97adada1725dde60f35f3b222232e634379416063fd6de95a", "generator_version": "3.0"}
{"id": "v3_val_00005312", "prompt": "Solve for x: -5(x - 924) = x", "solution_steps": ["Expand: -5x + 4620 = x", "Subtract x from both sides: -6x + 4620 = 0", "Subtract 4620 from both sides: -6x = -4620", "Divide both sides by -6: x = 770"], "final_answer": "770", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 924) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 924}", "seed": "16162416761649892578", "semantic_fingerprint": "sha256:7146832fabfd9b7fd64cce301731cee3224f42c839d76b73c7a66f782eeb2fd3", "generator_version": "3.0"}
{"id": "v3_val_00005313", "prompt": "Find x: x - 8 = 7(x + 3)", "solution_steps": ["Expand: x - 8 = 7x + 21", "Subtract 7x from both sides: -6x - 8 = 21", "Add 8 to both sides: -6x = 29", "Divide both sides by -6: x = -29/6"], "final_answer": "-29/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8 = 7(x + 3)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 3}", "seed": "12919289844498852543", "semantic_fingerprint": "sha256:512f91415feaf5efe1d465a7babf8e444784e5557678000e54a5275533373da7", "generator_version": "3.0"}
{"id": "v3_val_00005314", "prompt": "What value of x satisfies 8x - 2 = x + 103?", "solution_steps": ["Subtract x from both sides: 7x - 2 = 103", "Add 2 to both sides: 7x = 105", "Divide both sides by 7: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 2 = x + 103", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"d\": 103, \"x\": 15}", "seed": "1869915004548424921", "semantic_fingerprint": "sha256:ab69f58abf606a16df496a5253029862898ca497e07b97cf936ea1d6b55024b9", "generator_version": "3.0"}
{"id": "v3_val_00005315", "prompt": "Solve the equation 8x + 4 = -3(x + 48) for x.", "solution_steps": ["Expand: 8x + 4 = -3x - 144", "Add 3x to both sides: 11x + 4 = -144", "Subtract 4 from both sides: 11x = -148", "Divide both sides by 11: x = -148/11"], "final_answer": "-148/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x + 4 = -3(x + 48)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": -3, \"d\": 48}", "seed": "17769278554564569026", "semantic_fingerprint": "sha256:d2583466bf46e3d08ee8ebebbc0795d51a9986fe6e34df294134434d85307d98", "generator_version": "3.0"}
{"id": "v3_val_00005316", "prompt": "Find x: 7(x - 8) = x", "solution_steps": ["Expand: 7x - 56 = x", "Subtract x from both sides: 6x - 56 = 0", "Add 56 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 - 8) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8}", "seed": "7724304707844749425", "semantic_fingerprint": "sha256:d085ea66fae65fe111c6d464edfa7eb4884499ec59eeac36a077d7c8231565e3", "generator_version": "3.0"}
{"id": "v3_val_00005317", "prompt": "Solve for x: 10x - 968 = -768", "solution_steps": ["Add 968 to both sides: 10x = 200", "Divide both sides by 10: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 968 = -768", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 968, \"d\": -768, \"x\": 20}", "seed": "5941463261458256599", "semantic_fingerprint": "sha256:7b6bde8bbeff013e15fdbb6976ba89fecff0d4a52066966a6e08ca7b3c254dc8", "generator_version": "3.0"}
{"id": "v3_val_00005318", "prompt": "Calculate: 679 + (-6)", "solution_steps": ["Add: 679 + (-6) = 673"], "final_answer": "673", "answer_type": "integer", "kind": "expression", "math_text": "679 + (-6)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 679, \"b\": -6}", "seed": "12222513344160347916", "semantic_fingerprint": "sha256:286e6bf5546ddd97b8b3debf470277467a85e15168c76b35f4d6c00c34085b1b", "generator_version": "3.0"}
{"id": "v3_val_00005319", "prompt": "Evaluate: -40 * 6 / (9 * (-19 * 1))", "solution_steps": ["Multiply: -40 * 6 = -240", "Multiply: -19 * 1 = -19", "Multiply: 9 * (-19) = -171", "Divide: -240 / (-171) = 80/57"], "final_answer": "80/57", "answer_type": "rational", "kind": "expression", "math_text": "-40 * 6 / (9 * (-19 * 1))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 6, \"c\": 9, \"d\": -19, \"e\": 1}", "seed": "13661816479144296228", "semantic_fingerprint": "sha256:6d9b80c8c77617a79100f6d0a64ca501b8e48fb71addb5752e0052ee6f318ed5", "generator_version": "3.0"}
{"id": "v3_val_00005320", "prompt": "Solve the equation -12(x - 17) + 7 = -3x for x.", "solution_steps": ["Expand: -12x + 204 + 7 = -3x", "Combine constants: -12x + 211 = -3x", "Add 3x to both sides: -9x + 211 = 0", "Subtract 211 from both sides: -9x = -211", "Divide both sides by -9: x = 211/9"], "final_answer": "211/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 17) + 7 = -3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 17, \"c\": 7, \"d\": -3}", "seed": "8625476686665062861", "semantic_fingerprint": "sha256:ea965d9aa11eea7ea11921e349a204e38d5a25c94ea9853f8531c749921b3af7", "generator_version": "3.0"}
{"id": "v3_val_00005321", "prompt": "Calculate: -417 * (-3) / (892 - 18)", "solution_steps": ["Multiply: -417 * (-3) = 1251", "Subtract: 892 - 18 = 874", "Divide: 1251 / 874 = 1251/874"], "final_answer": "1251/874", "answer_type": "rational", "kind": "expression", "math_text": "-417 * (-3) / (892 - 18)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -417, \"b\": -3, \"c\": 892, \"d\": 18}", "seed": "4768646125931106289", "semantic_fingerprint": "sha256:0c3f0a765ec0cb1803b56cdd46d14990593de27b797b9f64f8842ebeee885331", "generator_version": "3.0"}
{"id": "v3_val_00005322", "prompt": "Find x: 8x = 3x - 15", "solution_steps": ["Subtract 3x from both sides: 5x = -15", "Divide both sides by 5: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 3x - 15", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"d\": -15, \"x\": -3}", "seed": "1907341469455878175", "semantic_fingerprint": "sha256:6dfdce876b845925a8559cef3c48e2e0b0a0820717e67d80d6e5fa8e7272b185", "generator_version": "3.0"}
{"id": "v3_val_00005323", "prompt": "Find x: 3x - 789 = x - 801", "solution_steps": ["Subtract x from both sides: 2x - 789 = -801", "Add 789 to both sides: 2x = -12", "Divide both sides by 2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 789 = x - 801", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 789, \"d\": -801, \"x\": -6}", "seed": "7561936352014532800", "semantic_fingerprint": "sha256:e365621d71fb48bdacad06fce88289c947ebe3999245ed6f239a02874727c61d", "generator_version": "3.0"}
{"id": "v3_val_00005324", "prompt": "Compute: 6 + (47 + 105)", "solution_steps": ["Add: 47 + 105 = 152", "Add: 6 + 152 = 158"], "final_answer": "158", "answer_type": "integer", "kind": "expression", "math_text": "6 + (47 + 105)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 47, \"c\": 105}", "seed": "8431288130218314651", "semantic_fingerprint": "sha256:4fac5e33a3d477e12cae4f2fdf8844ad9122f513b4bf06eb00143281b2bf9645", "generator_version": "3.0"}
{"id": "v3_val_00005325", "prompt": "Evaluate: 515 / 7", "solution_steps": ["Divide: 515 / 7 = 515/7"], "final_answer": "515/7", "answer_type": "rational", "kind": "expression", "math_text": "515 / 7", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 515, \"b\": 7}", "seed": "16765549670939476278", "semantic_fingerprint": "sha256:9e2cc688e3ec20842c54af2396612732abd4bb7caca301eca859f4e181e00711", "generator_version": "3.0"}
{"id": "v3_val_00005326", "prompt": "Solve the equation 3(x + 68) + 2 = 9x + 320 for x.", "solution_steps": ["Expand: 3x + 204 + 2 = 9x + 320", "Combine constants: 3x + 206 = 9x + 320", "Subtract 9x from both sides: -6x + 206 = 320", "Subtract 206 from both sides: -6x = 114", "Divide both sides by -6: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 68) + 2 = 9x + 320", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 68, \"c\": 2, \"d\": 9, \"f\": 320, \"x\": -19}", "seed": "3853186924994051076", "semantic_fingerprint": "sha256:3d86089006d0ca8153585ca71e3112dcfd902177b4aa00d4931f4fa3e1e42e11", "generator_version": "3.0"}
{"id": "v3_val_00005327", "prompt": "What value of x satisfies 11(x + 8) - 3 = x?", "solution_steps": ["Expand: 11x + 88 - 3 = x", "Combine constants: 11x + 85 = x", "Subtract x from both sides: 10x + 85 = 0", "Subtract 85 from both sides: 10x = -85", "Divide both sides by 10: x = -17/2"], "final_answer": "-17/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 8) - 3 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 3}", "seed": "13888089082010077947", "semantic_fingerprint": "sha256:e0683d48a08b0845e7e9c64dade137e1c5636c3b99ae50c0fb7d762dcd231b63", "generator_version": "3.0"}
{"id": "v3_val_00005328", "prompt": "What is (-774 + 898) / (62 / (-3) + 49 + 259)?", "solution_steps": ["Add: -774 + 898 = 124", "Divide: 62 / (-3) = -62/3", "Add: -62/3 + 49 = 85/3", "Add: 85/3 + 259 = 862/3", "Divide: 124 / (862/3) = 186/431"], "final_answer": "186/431", "answer_type": "rational", "kind": "expression", "math_text": "(-774 + 898) / (62 / (-3) + 49 + 259)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (+ (+ (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -774, \"b\": 898, \"c\": 62, \"d\": -3, \"e\": 49, \"f\": 259}", "seed": "7510971570202188185", "semantic_fingerprint": "sha256:2143708ea12fe8b508ae57b8b0aadbac67ba427633c98d209db7eb1135449ef9", "generator_version": "3.0"}
{"id": "v3_val_00005329", "prompt": "Evaluate: 0 - (-6 - 7) + 31 + (-17)", "solution_steps": ["Subtract: -6 - 7 = -13", "Subtract: 0 - (-13) = 13", "Add: 13 + 31 = 44", "Add: 44 + (-17) = 27"], "final_answer": "27", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-6 - 7) + 31 + (-17)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -6, \"c\": 7, \"d\": 31, \"e\": -17}", "seed": "17492042876866099623", "semantic_fingerprint": "sha256:e0dc9fc1554b9f53b0d042a5ac1723a5d1a7aef412079cd1c4b0123bca5a411c", "generator_version": "3.0"}
{"id": "v3_val_00005330", "prompt": "What is (0 - 7) * (-4 - (-9))?", "solution_steps": ["Subtract: 0 - 7 = -7", "Subtract: -4 - (-9) = 5", "Multiply: -7 * 5 = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 7) * (-4 - (-9))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 7, \"c\": -4, \"d\": -9}", "seed": "11441889254581235421", "semantic_fingerprint": "sha256:6dbf5c70e55794cb1ac65dd51903d01bb53886a00bd20143bd17bf3d470132c0", "generator_version": "3.0"}
{"id": "v3_val_00005331", "prompt": "Calculate: -26 * ((-47 + (-13) + 80) / (-7 / 77))", "solution_steps": ["Add: -47 + (-13) = -60", "Add: -60 + 80 = 20", "Divide: -7 / 77 = -1/11", "Divide: 20 / (-1/11) = -220", "Multiply: -26 * (-220) = 5720"], "final_answer": "5720", "answer_type": "integer", "kind": "expression", "math_text": "-26 * ((-47 + (-13) + 80) / (-7 / 77))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (+ (+ n n) n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -47, \"c\": -13, \"d\": 80, \"e\": -7, \"f\": 77}", "seed": "13459357267262173090", "semantic_fingerprint": "sha256:24afe07a6777177ba0c21102bc120840b60b0f30ca3ab58debaa5b54efd4d52b", "generator_version": "3.0"}
{"id": "v3_val_00005332", "prompt": "Calculate: 349 / (17 / 7) + (-30) / 61 / (-85)", "solution_steps": ["Divide: 17 / 7 = 17/7", "Divide: 349 / (17/7) = 2443/17", "Divide: -30 / 61 = -30/61", "Divide: (-30/61) / (-85) = 6/1037", "Add: 2443/17 + 6/1037 = 149029/1037"], "final_answer": "149029/1037", "answer_type": "rational", "kind": "expression", "math_text": "349 / (17 / 7) + (-30) / 61 / (-85)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (/ n n)) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 349, \"b\": 17, \"c\": 7, \"d\": -30, \"e\": 61, \"f\": -85}", "seed": "5643652631499419064", "semantic_fingerprint": "sha256:97d6e6ed4f58250f33e601dd3ca15d23ab79c6c250ce6d171f846d8ec4f29d85", "generator_version": "3.0"}
{"id": "v3_val_00005333", "prompt": "What value of x satisfies x - 4 = 5(x + 8)?", "solution_steps": ["Expand: x - 4 = 5x + 40", "Subtract 5x from both sides: -4x - 4 = 40", "Add 4 to both sides: -4x = 44", "Divide both sides by -4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = 5(x + 8)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"d\": -4, \"x\": -11}", "seed": "5144524623048993542", "semantic_fingerprint": "sha256:24533c778bbfcc420287b2df1be29349211f86e632d0dc14bb2f6c3f56c1bd78", "generator_version": "3.0"}
{"id": "v3_val_00005334", "prompt": "What is 266 + 26 + 9?", "solution_steps": ["Add: 266 + 26 = 292", "Add: 292 + 9 = 301"], "final_answer": "301", "answer_type": "integer", "kind": "expression", "math_text": "266 + 26 + 9", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 266, \"b\": 26, \"c\": 9}", "seed": "8005423670542251694", "semantic_fingerprint": "sha256:d034808e97263ff3975dc28bee55fbd23e54f75983ff2de46c605ce60c796f1f", "generator_version": "3.0"}
{"id": "v3_val_00005335", "prompt": "What is 66 - (-895) + (-248 + 94 + (-8) + 362)?", "solution_steps": ["Subtract: 66 - (-895) = 961", "Add: -248 + 94 = -154", "Add: -154 + (-8) = -162", "Add: -162 + 362 = 200", "Add: 961 + 200 = 1161"], "final_answer": "1161", "answer_type": "integer", "kind": "expression", "math_text": "66 - (-895) + (-248 + 94 + (-8) + 362)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ (+ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -895, \"c\": -248, \"d\": 94, \"e\": -8, \"f\": 362}", "seed": "3701056075978819895", "semantic_fingerprint": "sha256:72ef8c39325b9c1a2a9ec70f1a0eb2bc3d892b836f62b4df3d1e457cf401d992", "generator_version": "3.0"}
{"id": "v3_val_00005336", "prompt": "Evaluate: -76 + 45 - 70 / (-1)", "solution_steps": ["Add: -76 + 45 = -31", "Divide: 70 / (-1) = -70", "Subtract: -31 - (-70) = 39"], "final_answer": "39", "answer_type": "integer", "kind": "expression", "math_text": "-76 + 45 - 70 / (-1)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 45, \"c\": 70, \"d\": -1}", "seed": "9983818769964020967", "semantic_fingerprint": "sha256:23dcfd4f86993d2945b5dddcb32f3a585f7ea3ef40f99c443977d45b1610dcde", "generator_version": "3.0"}
{"id": "v3_val_00005337", "prompt": "What value of x satisfies x + 32 = 5(x - 4)?", "solution_steps": ["Expand: x + 32 = 5x - 20", "Subtract 5x from both sides: -4x + 32 = -20", "Subtract 32 from both sides: -4x = -52", "Divide both sides by -4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 32 = 5(x - 4)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"d\": 32, \"x\": 13}", "seed": "4278180102412848221", "semantic_fingerprint": "sha256:6833b425ddb77f0efa824ac80d3b7134f3c716a2f8e066197d396cbc13b8b138", "generator_version": "3.0"}
{"id": "v3_val_00005338", "prompt": "Calculate: -771 + (-8)", "solution_steps": ["Add: -771 + (-8) = -779"], "final_answer": "-779", "answer_type": "integer", "kind": "expression", "math_text": "-771 + (-8)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -771, \"b\": -8}", "seed": "577330894744492094", "semantic_fingerprint": "sha256:5377debfe11242ffd345288bf13cfd8c3cc8e34a24cc41ddb3cd9c62a9e20007", "generator_version": "3.0"}
{"id": "v3_val_00005339", "prompt": "What is 412 * (-40) / (25 * (-776 - (-4)))?", "solution_steps": ["Multiply: 412 * (-40) = -16480", "Subtract: -776 - (-4) = -772", "Multiply: 25 * (-772) = -19300", "Divide: -16480 / (-19300) = 824/965"], "final_answer": "824/965", "answer_type": "rational", "kind": "expression", "math_text": "412 * (-40) / (25 * (-776 - (-4)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 412, \"b\": -40, \"c\": 25, \"d\": -776, \"e\": -4}", "seed": "13533013385835794736", "semantic_fingerprint": "sha256:0a4ddcb203462e8055155c7bdf9dc3e80fe0942a5c9a77003f081960ccf6aa12", "generator_version": "3.0"}
{"id": "v3_val_00005340", "prompt": "What value of x satisfies -12(x + 6) = x - 124?", "solution_steps": ["Expand: -12x - 72 = x - 124", "Subtract x from both sides: -13x - 72 = -124", "Add 72 to both sides: -13x = -52", "Divide both sides by -13: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 6) = x - 124", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 6, \"d\": -124, \"x\": 4}", "seed": "14462082254650179651", "semantic_fingerprint": "sha256:e897141f865d7bea6a945d9643cf8661e573a79d4e5177ee7bdbc9044cb29aa7", "generator_version": "3.0"}
{"id": "v3_val_00005341", "prompt": "What is 68 + (-13)?", "solution_steps": ["Add: 68 + (-13) = 55"], "final_answer": "55", "answer_type": "integer", "kind": "expression", "math_text": "68 + (-13)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -13}", "seed": "4463920582132152204", "semantic_fingerprint": "sha256:2fd9c134afd2c10eacdfb1f3fb55306d0e396c95cc6dd36516867655e69fe247", "generator_version": "3.0"}
{"id": "v3_val_00005342", "prompt": "Evaluate: (-564 / 2 + 135) * (15 * (-2 * 23))", "solution_steps": ["Divide: -564 / 2 = -282", "Add: -282 + 135 = -147", "Multiply: -2 * 23 = -46", "Multiply: 15 * (-46) = -690", "Multiply: -147 * (-690) = 101430"], "final_answer": "101430", "answer_type": "integer", "kind": "expression", "math_text": "(-564 / 2 + 135) * (15 * (-2 * 23))", "variable": null, "family": "expression_5op", "shape": "(* (+ (/ n n) n) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -564, \"b\": 2, \"c\": 135, \"d\": 15, \"e\": -2, \"f\": 23}", "seed": "9187662682509530985", "semantic_fingerprint": "sha256:de5d343a5605059586d54f24e8e9093616a7f7aa17c0c3b8fd385effa815d3f0", "generator_version": "3.0"}
{"id": "v3_val_00005343", "prompt": "Find x: 5x = 11x - 36", "solution_steps": ["Subtract 11x from both sides: -6x = -36", "Divide both sides by -6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 11x - 36", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 11, \"d\": -36, \"x\": 6}", "seed": "8945479524893410313", "semantic_fingerprint": "sha256:e42cc8dac8c59b3ec3339f98392cd3c670b3234a60d45acc548846b32d7cf60d", "generator_version": "3.0"}
{"id": "v3_val_00005344", "prompt": "Find x: x + 5 = 7(x - 5)", "solution_steps": ["Expand: x + 5 = 7x - 35", "Subtract 7x from both sides: -6x + 5 = -35", "Subtract 5 from both sides: -6x = -40", "Divide both sides by -6: x = 20/3"], "final_answer": "20/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 5 = 7(x - 5)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 5}", "seed": "3507539700570128251", "semantic_fingerprint": "sha256:06348c88fb4f70df2169fc734d34c4c4eb275a4e899dddba3d93bb2e729e50db", "generator_version": "3.0"}
{"id": "v3_val_00005345", "prompt": "Calculate: 251 + 3", "solution_steps": ["Add: 251 + 3 = 254"], "final_answer": "254", "answer_type": "integer", "kind": "expression", "math_text": "251 + 3", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 251, \"b\": 3}", "seed": "8463327540268688864", "semantic_fingerprint": "sha256:1e4d166561d40c4c09674ab12bb7ea93fa833f20139b3bd5bd3fb7f7f60a4ebe", "generator_version": "3.0"}
{"id": "v3_val_00005346", "prompt": "Calculate: (-82 - 5) / (441 - 94)", "solution_steps": ["Subtract: -82 - 5 = -87", "Subtract: 441 - 94 = 347", "Divide: -87 / 347 = -87/347"], "final_answer": "-87/347", "answer_type": "rational", "kind": "expression", "math_text": "(-82 - 5) / (441 - 94)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": 5, \"c\": 441, \"d\": 94}", "seed": "8261258419005858671", "semantic_fingerprint": "sha256:81fe73e9c3ce7a09c1bcb313688f579cb0b53dacebb07037289f293f2956f041", "generator_version": "3.0"}
{"id": "v3_val_00005347", "prompt": "Evaluate: -12 * 254 - 0 + (-42 + 6) + 41", "solution_steps": ["Multiply: -12 * 254 = -3048", "Subtract: -3048 - 0 = -3048", "Add: -42 + 6 = -36", "Add: -3048 + (-36) = -3084", "Add: -3084 + 41 = -3043"], "final_answer": "-3043", "answer_type": "integer", "kind": "expression", "math_text": "-12 * 254 - 0 + (-42 + 6) + 41", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- (* n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 254, \"c\": 0, \"d\": -42, \"e\": 6, \"f\": 41}", "seed": "14314801374659208081", "semantic_fingerprint": "sha256:008aa6f015d44b74f7ce408c5c78b4da1c05cf4c26c363840f7a40ed238bb313", "generator_version": "3.0"}
{"id": "v3_val_00005348", "prompt": "Find x: 10x + 28 = -10(x - 80) - 32", "solution_steps": ["Expand: 10x + 28 = -10x + 800 - 32", "Combine constants: 10x + 28 = -10x + 768", "Add 10x to both sides: 20x + 28 = 768", "Subtract 28 from both sides: 20x = 740", "Divide both sides by 20: x = 37"], "final_answer": "37", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 28 = -10(x - 80) - 32", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 28, \"c\": -10, \"d\": 80, \"e\": 32}", "seed": "7827613279616919820", "semantic_fingerprint": "sha256:e518a886af04f5c7be263f9f38938fe6c6763eb8facb175ebf24c51580b0e7b6", "generator_version": "3.0"}
{"id": "v3_val_00005349", "prompt": "Solve the equation 6(x + 2) + 548 = 2(x - 22) + 584 for x.", "solution_steps": ["Expand: 6x + 12 + 548 = 2(x - 22) + 584", "Expand: 6x + 12 + 548 = 2x - 44 + 584", "Combine constants: 6x + 560 = 2x - 44 + 584", "Combine constants: 6x + 560 = 2x + 540", "Subtract 2x from both sides: 4x + 560 = 540", "Subtract 560 from both sides: 4x = -20", "Divide both sides by 4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 2) + 548 = 2(x - 22) + 584", "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\": 548, \"d\": 2, \"e\": 22, \"g\": 584, \"x\": -5}", "seed": "7285473758634277952", "semantic_fingerprint": "sha256:9ba5f770ed489c33c8d2d1f60167559d91ce51d5f49a9a2e8079b3a00a548b73", "generator_version": "3.0"}
{"id": "v3_val_00005350", "prompt": "Evaluate: 991 + 55 + (-8) / 72", "solution_steps": ["Add: 991 + 55 = 1046", "Divide: -8 / 72 = -1/9", "Add: 1046 + (-1/9) = 9413/9"], "final_answer": "9413/9", "answer_type": "rational", "kind": "expression", "math_text": "991 + 55 + (-8) / 72", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 991, \"b\": 55, \"c\": -8, \"d\": 72}", "seed": "15742606644169228887", "semantic_fingerprint": "sha256:8457d187f4d21fedd083e7278b0171c9cff1e779986865e0ed9ab0d790861736", "generator_version": "3.0"}
{"id": "v3_val_00005351", "prompt": "Calculate: 8 / (588 + (-1))", "solution_steps": ["Add: 588 + (-1) = 587", "Divide: 8 / 587 = 8/587"], "final_answer": "8/587", "answer_type": "rational", "kind": "expression", "math_text": "8 / (588 + (-1))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 588, \"c\": -1}", "seed": "17117562610732538718", "semantic_fingerprint": "sha256:62b3ea600c400fccf41f75f1b65d1a0be1fd6229228e6a2f433f3030f1be7e48", "generator_version": "3.0"}
{"id": "v3_val_00005352", "prompt": "Compute: 1 / (-2)", "solution_steps": ["Divide: 1 / (-2) = -1/2"], "final_answer": "-1/2", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-2)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -2}", "seed": "16934856084636890154", "semantic_fingerprint": "sha256:cc036dcd42d32cba2a1c676ef06fcb16653b64cce8e8a7c4b3f0379a5351d082", "generator_version": "3.0"}
{"id": "v3_val_00005353", "prompt": "Solve the equation 10(x - 5) = x + 2 for x.", "solution_steps": ["Expand: 10x - 50 = x + 2", "Subtract x from both sides: 9x - 50 = 2", "Add 50 to both sides: 9x = 52", "Divide both sides by 9: x = 52/9"], "final_answer": "52/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 5) = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 2}", "seed": "9150230409989730089", "semantic_fingerprint": "sha256:364f4ae882af6876e6811dd09fa770ff901d93548d5b53aa3bbf891d4ac52407", "generator_version": "3.0"}
{"id": "v3_val_00005354", "prompt": "What is 2 / (-91)?", "solution_steps": ["Divide: 2 / (-91) = -2/91"], "final_answer": "-2/91", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-91)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -91}", "seed": "10873988768150916835", "semantic_fingerprint": "sha256:90a9147e19c9e83884bb9b94e1ed8b9830e936844d6459461562ce62d42d9246", "generator_version": "3.0"}
{"id": "v3_val_00005355", "prompt": "Compute: -17 / 136", "solution_steps": ["Divide: -17 / 136 = -1/8"], "final_answer": "-1/8", "answer_type": "rational", "kind": "expression", "math_text": "-17 / 136", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 136}", "seed": "5320125618611713412", "semantic_fingerprint": "sha256:c285f6fe88c9b83f26684ce027fb63564a88d07d9147198f11c6b4579aa1735d", "generator_version": "3.0"}
{"id": "v3_val_00005356", "prompt": "Calculate: 4 / (4 * (9 / (-1 + 0 * (-90))))", "solution_steps": ["Multiply: 0 * (-90) = 0", "Add: -1 + 0 = -1", "Divide: 9 / (-1) = -9", "Multiply: 4 * (-9) = -36", "Divide: 4 / (-36) = -1/9"], "final_answer": "-1/9", "answer_type": "rational", "kind": "expression", "math_text": "4 / (4 * (9 / (-1 + 0 * (-90))))", "variable": null, "family": "expression_5op", "shape": "(/ n (* n (/ n (+ n (* n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 9, \"d\": -1, \"e\": 0, \"f\": -90}", "seed": "12172739946061551341", "semantic_fingerprint": "sha256:d9eccd59837ff8fe843cd5e4b5a46ad459c669935a2ba13ccd8345dec117e1e9", "generator_version": "3.0"}
{"id": "v3_val_00005357", "prompt": "Compute: -1 - (621 + 5)", "solution_steps": ["Add: 621 + 5 = 626", "Subtract: -1 - 626 = -627"], "final_answer": "-627", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (621 + 5)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 621, \"c\": 5}", "seed": "4842669852727340668", "semantic_fingerprint": "sha256:9cd9b21060df4376871b59340aaec131f48f8c011a87d37bfb11f374a268deec", "generator_version": "3.0"}
{"id": "v3_val_00005358", "prompt": "Compute: 3 / (-4 / (-5 / 23)) * (65 / (-91))", "solution_steps": ["Divide: -5 / 23 = -5/23", "Divide: -4 / (-5/23) = 92/5", "Divide: 3 / (92/5) = 15/92", "Divide: 65 / (-91) = -5/7", "Multiply: (15/92) * (-5/7) = -75/644"], "final_answer": "-75/644", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-4 / (-5 / 23)) * (65 / (-91))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (/ n (/ n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -4, \"c\": -5, \"d\": 23, \"e\": 65, \"f\": -91}", "seed": "1470267953100992056", "semantic_fingerprint": "sha256:9a3454bb6fd44f5424056b86120dceaa58d962366b54e95569d6411f3292b8ee", "generator_version": "3.0"}
{"id": "v3_val_00005359", "prompt": "Solve for x: 3x = -2(x - 405)", "solution_steps": ["Expand: 3x = -2x + 810", "Add 2x to both sides: 5x = 810", "Divide both sides by 5: x = 162"], "final_answer": "162", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -2(x - 405)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -2, \"c\": 405}", "seed": "16259869554791484712", "semantic_fingerprint": "sha256:bce2c2ecdedbc46f3ed1283a9ed4af77d5fa5f364716edb3ea13dcfb4eee39c8", "generator_version": "3.0"}
{"id": "v3_val_00005360", "prompt": "What value of x satisfies 2(x - 23) = 8(x - 736)?", "solution_steps": ["Expand: 2x - 46 = 8(x - 736)", "Expand: 2x - 46 = 8x - 5888", "Subtract 8x from both sides: -6x - 46 = -5888", "Add 46 to both sides: -6x = -5842", "Divide both sides by -6: x = 2921/3"], "final_answer": "2921/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 23) = 8(x - 736)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 23, \"c\": 8, \"d\": 736}", "seed": "10880382682854904098", "semantic_fingerprint": "sha256:9c72e093f322c0792f527c31e53da5ff77fed4de6912ee4216407cafa8f5051a", "generator_version": "3.0"}
{"id": "v3_val_00005361", "prompt": "Find x: x + 127 = -7(x + 93) + 762", "solution_steps": ["Expand: x + 127 = -7x - 651 + 762", "Combine constants: x + 127 = -7x + 111", "Add 7x to both sides: 8x + 127 = 111", "Subtract 127 from both sides: 8x = -16", "Divide both sides by 8: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 127 = -7(x + 93) + 762", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 127, \"b\": -7, \"c\": 93, \"e\": 762, \"x\": -2}", "seed": "7677375292743309181", "semantic_fingerprint": "sha256:941c7145ffe447ddae9a501790abbcc9666995a0a5816bdeb9cd874a785723d9", "generator_version": "3.0"}
{"id": "v3_val_00005362", "prompt": "Find x: -10(x + 6) = x - 258", "solution_steps": ["Expand: -10x - 60 = x - 258", "Subtract x from both sides: -11x - 60 = -258", "Add 60 to both sides: -11x = -198", "Divide both sides by -11: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 6) = x - 258", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6, \"d\": -258, \"x\": 18}", "seed": "7486394889395884769", "semantic_fingerprint": "sha256:0c874507bdef478e891702eb4f2d690a2eeb97ece4cf43e92185cc39e0c747d3", "generator_version": "3.0"}
{"id": "v3_val_00005363", "prompt": "Evaluate: 12 - (-2) - (-681) + (12 + (-72))", "solution_steps": ["Subtract: 12 - (-2) = 14", "Subtract: 14 - (-681) = 695", "Add: 12 + (-72) = -60", "Add: 695 + (-60) = 635"], "final_answer": "635", "answer_type": "integer", "kind": "expression", "math_text": "12 - (-2) - (-681) + (12 + (-72))", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -2, \"c\": -681, \"d\": 12, \"e\": -72}", "seed": "15821407482443405636", "semantic_fingerprint": "sha256:d2c62ec326ac834de90f561c3c0979483f4ebda85f56bd4ed2992d5b3fef7ce7", "generator_version": "3.0"}
{"id": "v3_val_00005364", "prompt": "Solve for x: -8(x + 233) = -4(x + 62) + 28", "solution_steps": ["Expand: -8x - 1864 = -4(x + 62) + 28", "Expand: -8x - 1864 = -4x - 248 + 28", "Combine constants: -8x - 1864 = -4x - 220", "Add 4x to both sides: -4x - 1864 = -220", "Add 1864 to both sides: -4x = 1644", "Divide both sides by -4: x = -411"], "final_answer": "-411", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 233) = -4(x + 62) + 28", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 233, \"c\": -4, \"d\": 62, \"e\": 28}", "seed": "13481498086810756879", "semantic_fingerprint": "sha256:02432dc0ca73fc75ae6c65fc5c7d265ecc50233e5a66f216fda498da72e7253f", "generator_version": "3.0"}
{"id": "v3_val_00005365", "prompt": "Calculate: -76 + (53 + 2 * 6)", "solution_steps": ["Multiply: 2 * 6 = 12", "Add: 53 + 12 = 65", "Add: -76 + 65 = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "expression", "math_text": "-76 + (53 + 2 * 6)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 53, \"c\": 2, \"d\": 6}", "seed": "4816810687781363840", "semantic_fingerprint": "sha256:af10a087c81af90fdea70aef199044dfc6eccee9c379e6e386a5a94c70f85bf2", "generator_version": "3.0"}
{"id": "v3_val_00005366", "prompt": "What is (35 + 0) * (-3) - 79?", "solution_steps": ["Add: 35 + 0 = 35", "Multiply: 35 * (-3) = -105", "Subtract: -105 - 79 = -184"], "final_answer": "-184", "answer_type": "integer", "kind": "expression", "math_text": "(35 + 0) * (-3) - 79", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 0, \"c\": -3, \"d\": 79}", "seed": "9543984472776971092", "semantic_fingerprint": "sha256:0948d0d4bdd79fbfc65d4c963d492443113d98b133e9cd8895a5ef105cdee3ab", "generator_version": "3.0"}
{"id": "v3_val_00005367", "prompt": "Evaluate: 963 + (-55) * (-60)", "solution_steps": ["Multiply: -55 * (-60) = 3300", "Add: 963 + 3300 = 4263"], "final_answer": "4263", "answer_type": "integer", "kind": "expression", "math_text": "963 + (-55) * (-60)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 963, \"b\": -55, \"c\": -60}", "seed": "10759135402813463546", "semantic_fingerprint": "sha256:6363eaa981623f5427c37eede558e9b983ab09c2ccb0a6c3129a6883987f070b", "generator_version": "3.0"}
{"id": "v3_val_00005368", "prompt": "What is 3 * (-75) + 718?", "solution_steps": ["Multiply: 3 * (-75) = -225", "Add: -225 + 718 = 493"], "final_answer": "493", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-75) + 718", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -75, \"c\": 718}", "seed": "8164645173513970022", "semantic_fingerprint": "sha256:52dfb2cb97060ca0e0bd3773e98bf258b6450ed20e8ad77d52d52dd0eabdf6dd", "generator_version": "3.0"}
{"id": "v3_val_00005369", "prompt": "What is 492 - (-11) + (97 - 10) - 279 / 995?", "solution_steps": ["Subtract: 492 - (-11) = 503", "Subtract: 97 - 10 = 87", "Add: 503 + 87 = 590", "Divide: 279 / 995 = 279/995", "Subtract: 590 - 279/995 = 586771/995"], "final_answer": "586771/995", "answer_type": "rational", "kind": "expression", "math_text": "492 - (-11) + (97 - 10) - 279 / 995", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 492, \"b\": -11, \"c\": 97, \"d\": 10, \"e\": 279, \"f\": 995}", "seed": "979037387792170664", "semantic_fingerprint": "sha256:85bb0c4ebacb63de29c30c4ba71767cd6b2400a3f68db3430832641b8a43ca60", "generator_version": "3.0"}
{"id": "v3_val_00005370", "prompt": "Solve the equation 5x = x - 19 for x.", "solution_steps": ["Subtract x from both sides: 4x = -19", "Divide both sides by 4: x = -19/4"], "final_answer": "-19/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = x - 19", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 19}", "seed": "7625293292996454682", "semantic_fingerprint": "sha256:1018d526810bd86990cdd63436de8fcaa59d7ffb1b5608346f782911cbe324ab", "generator_version": "3.0"}
{"id": "v3_val_00005371", "prompt": "What value of x satisfies 6(x + 8) - 48 = 3(x - 4)?", "solution_steps": ["Expand: 6x + 48 - 48 = 3(x - 4)", "Expand: 6x + 48 - 48 = 3x - 12", "Combine constants: 6x = 3x - 12", "Subtract 3x from both sides: 3x = -12", "Divide both sides by 3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 8) - 48 = 3(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 3, \"d\": 4, \"f\": -48, \"x\": -4}", "seed": "16876912642864462214", "semantic_fingerprint": "sha256:9fd2d1b80f14b835abbb2437632956e70b0f081b0759277e2600da3a62fad4de", "generator_version": "3.0"}
{"id": "v3_val_00005372", "prompt": "Compute: -83 / (-59) / (-93 / 584)", "solution_steps": ["Divide: -83 / (-59) = 83/59", "Divide: -93 / 584 = -93/584", "Divide: (83/59) / (-93/584) = -48472/5487"], "final_answer": "-48472/5487", "answer_type": "rational", "kind": "expression", "math_text": "-83 / (-59) / (-93 / 584)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -59, \"c\": -93, \"d\": 584}", "seed": "9207731740341597120", "semantic_fingerprint": "sha256:6cded793efd6dee2ea5a096496236696863cfc20f9a0f4ebf3d6d1a26cd57726", "generator_version": "3.0"}
{"id": "v3_val_00005373", "prompt": "What value of x satisfies 11x - 95 = 6x?", "solution_steps": ["Subtract 6x 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": "11x - 95 = 6x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"d\": -95, \"x\": 19}", "seed": "341305183007742819", "semantic_fingerprint": "sha256:3a219987515077909f8384683c8c1f1cf069fb73fb6a339e304c5323435c44df", "generator_version": "3.0"}
{"id": "v3_val_00005374", "prompt": "Compute: 11 / (-7) - 720", "solution_steps": ["Divide: 11 / (-7) = -11/7", "Subtract: -11/7 - 720 = -5051/7"], "final_answer": "-5051/7", "answer_type": "rational", "kind": "expression", "math_text": "11 / (-7) - 720", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -7, \"c\": 720}", "seed": "9289963923565166744", "semantic_fingerprint": "sha256:f5793fb6c16c653800b5f5b97952430fae94f88529901fa55221f6a2e843fbbd", "generator_version": "3.0"}
{"id": "v3_val_00005375", "prompt": "What value of x satisfies x - 826 = 11(x - 3) - 883?", "solution_steps": ["Expand: x - 826 = 11x - 33 - 883", "Combine constants: x - 826 = 11x - 916", "Subtract 11x from both sides: -10x - 826 = -916", "Add 826 to both sides: -10x = -90", "Divide both sides by -10: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 826 = 11(x - 3) - 883", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 826, \"b\": 11, \"c\": 3, \"e\": -883, \"x\": 9}", "seed": "13007222622325542409", "semantic_fingerprint": "sha256:4dc9c9ee66dba9908a53150c50d55b3e20bf4cf580568708e70ace7402a53e26", "generator_version": "3.0"}
{"id": "v3_val_00005376", "prompt": "What is -353 - (-69) - (-4)?", "solution_steps": ["Subtract: -353 - (-69) = -284", "Subtract: -284 - (-4) = -280"], "final_answer": "-280", "answer_type": "integer", "kind": "expression", "math_text": "-353 - (-69) - (-4)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -353, \"b\": -69, \"c\": -4}", "seed": "6972254248255321767", "semantic_fingerprint": "sha256:c63f2bc8ebf9110e0e6a514760382c854868270d95bfc6f92922112a55975c6f", "generator_version": "3.0"}
{"id": "v3_val_00005377", "prompt": "Evaluate: -16 / 73 + 769 * (-4)", "solution_steps": ["Divide: -16 / 73 = -16/73", "Multiply: 769 * (-4) = -3076", "Add: -16/73 + (-3076) = -224564/73"], "final_answer": "-224564/73", "answer_type": "rational", "kind": "expression", "math_text": "-16 / 73 + 769 * (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 73, \"c\": 769, \"d\": -4}", "seed": "1093427257622108566", "semantic_fingerprint": "sha256:398ae90ec1a27f21e1784e82b2700908c9134951dfcc733cdf7ceb5aed2731b3", "generator_version": "3.0"}
{"id": "v3_val_00005378", "prompt": "What is 6 / (2 - 12 / 3)?", "solution_steps": ["Divide: 12 / 3 = 4", "Subtract: 2 - 4 = -2", "Divide: 6 / (-2) = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "expression", "math_text": "6 / (2 - 12 / 3)", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 12, \"d\": 3}", "seed": "5957088566309534812", "semantic_fingerprint": "sha256:e30ad8d176aaa58a820d09da7415cfc4b1d65c627b7ca143daeb2dcd693202c1", "generator_version": "3.0"}
{"id": "v3_val_00005379", "prompt": "Calculate: 7 + 0 * 597 * 684", "solution_steps": ["Multiply: 0 * 597 = 0", "Multiply: 0 * 684 = 0", "Add: 7 + 0 = 7"], "final_answer": "7", "answer_type": "integer", "kind": "expression", "math_text": "7 + 0 * 597 * 684", "variable": null, "family": "expression_3op", "shape": "(+ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 0, \"c\": 597, \"d\": 684}", "seed": "15788324524843908427", "semantic_fingerprint": "sha256:eea1b4bfc6d1ab2a80395d99761e7fffc13cc80a9c62f3bf9cd6fd13b10273ec", "generator_version": "3.0"}
{"id": "v3_val_00005380", "prompt": "Evaluate: 6 * 51 * (-5 / (140 * (-19)))", "solution_steps": ["Multiply: 6 * 51 = 306", "Multiply: 140 * (-19) = -2660", "Divide: -5 / (-2660) = 1/532", "Multiply: 306 * (1/532) = 153/266"], "final_answer": "153/266", "answer_type": "rational", "kind": "expression", "math_text": "6 * 51 * (-5 / (140 * (-19)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 51, \"c\": -5, \"d\": 140, \"e\": -19}", "seed": "9398816539658286229", "semantic_fingerprint": "sha256:03d7789195091e6b161cf00560f8fb8cd4b7ec49077615dbf5b619893d7ce023", "generator_version": "3.0"}
{"id": "v3_val_00005381", "prompt": "Evaluate: -46 - 447", "solution_steps": ["Subtract: -46 - 447 = -493"], "final_answer": "-493", "answer_type": "integer", "kind": "expression", "math_text": "-46 - 447", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 447}", "seed": "5350549148498671169", "semantic_fingerprint": "sha256:770c8c48a8946d7daff2860cc7ed5a9e8125e71fb2a4a0d31c1324462234a00f", "generator_version": "3.0"}
{"id": "v3_val_00005382", "prompt": "What is (50 + (-40)) / (-4)?", "solution_steps": ["Add: 50 + (-40) = 10", "Divide: 10 / (-4) = -5/2"], "final_answer": "-5/2", "answer_type": "rational", "kind": "expression", "math_text": "(50 + (-40)) / (-4)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -40, \"c\": -4}", "seed": "10996105204936338384", "semantic_fingerprint": "sha256:843289684d4f8c72876f639a86b117f5e62077f48cb79d2728de44bc21715e59", "generator_version": "3.0"}
{"id": "v3_val_00005383", "prompt": "Compute: -27 + 63 / (-31 / 9) * (-255)", "solution_steps": ["Divide: -31 / 9 = -31/9", "Divide: 63 / (-31/9) = -567/31", "Multiply: (-567/31) * (-255) = 144585/31", "Add: -27 + 144585/31 = 143748/31"], "final_answer": "143748/31", "answer_type": "rational", "kind": "expression", "math_text": "-27 + 63 / (-31 / 9) * (-255)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 63, \"c\": -31, \"d\": 9, \"e\": -255}", "seed": "2593606539073978403", "semantic_fingerprint": "sha256:473ca5928d056334cb0eaf2da4836f9d0993613bb5de60d300050b7b9e823ae4", "generator_version": "3.0"}
{"id": "v3_val_00005384", "prompt": "Calculate: -405 / (-48)", "solution_steps": ["Divide: -405 / (-48) = 135/16"], "final_answer": "135/16", "answer_type": "rational", "kind": "expression", "math_text": "-405 / (-48)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -405, \"b\": -48}", "seed": "2835857165524426618", "semantic_fingerprint": "sha256:dda1cd2dae949fe893d2c64c17159b407f4693c48bbdc9bcab738fe5b0a32a44", "generator_version": "3.0"}
{"id": "v3_val_00005385", "prompt": "Evaluate: (-1 + (-8) * 43) * (-52)", "solution_steps": ["Multiply: -8 * 43 = -344", "Add: -1 + (-344) = -345", "Multiply: -345 * (-52) = 17940"], "final_answer": "17940", "answer_type": "integer", "kind": "expression", "math_text": "(-1 + (-8) * 43) * (-52)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -8, \"c\": 43, \"d\": -52}", "seed": "14930480874135942684", "semantic_fingerprint": "sha256:9e8a50995efcff19b05b84468719f3b17e393ea216721bf65eba7719eec72564", "generator_version": "3.0"}
{"id": "v3_val_00005386", "prompt": "Compute: -24 * ((2 - 618) * (-1))", "solution_steps": ["Subtract: 2 - 618 = -616", "Multiply: -616 * (-1) = 616", "Multiply: -24 * 616 = -14784"], "final_answer": "-14784", "answer_type": "integer", "kind": "expression", "math_text": "-24 * ((2 - 618) * (-1))", "variable": null, "family": "expression_3op", "shape": "(* n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 2, \"c\": 618, \"d\": -1}", "seed": "4408228736510655416", "semantic_fingerprint": "sha256:ae7c125cadd6703c4f5e145228c86a731afcdbc6e621f0ec264e194d0e79cba6", "generator_version": "3.0"}
{"id": "v3_val_00005387", "prompt": "Compute: -7 * (332 + 965)", "solution_steps": ["Add: 332 + 965 = 1297", "Multiply: -7 * 1297 = -9079"], "final_answer": "-9079", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (332 + 965)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 332, \"c\": 965}", "seed": "11932613377005507092", "semantic_fingerprint": "sha256:134f5a52e86a3ebf27b64844012c0b54c765752c7d866cb8df3d00239d77b76a", "generator_version": "3.0"}
{"id": "v3_val_00005388", "prompt": "Compute: -51 + 174", "solution_steps": ["Add: -51 + 174 = 123"], "final_answer": "123", "answer_type": "integer", "kind": "expression", "math_text": "-51 + 174", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 174}", "seed": "8594196816150932358", "semantic_fingerprint": "sha256:1ccd8abc23abb7048ef8fc054e08d7234351d5156db905283c63be922ebd105a", "generator_version": "3.0"}
{"id": "v3_val_00005389", "prompt": "Evaluate: -66 * (8 / 88)", "solution_steps": ["Divide: 8 / 88 = 1/11", "Multiply: -66 * (1/11) = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "-66 * (8 / 88)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 8, \"c\": 88}", "seed": "5873748315209880052", "semantic_fingerprint": "sha256:25798f01730d032a279084f595349f3be1640bde35e6b3189c97c024d508964e", "generator_version": "3.0"}
{"id": "v3_val_00005390", "prompt": "Solve the equation 10(x + 48) + 67 = -9(x - 6) + 493 for x.", "solution_steps": ["Expand: 10x + 480 + 67 = -9(x - 6) + 493", "Expand: 10x + 480 + 67 = -9x + 54 + 493", "Combine constants: 10x + 547 = -9x + 54 + 493", "Combine constants: 10x + 547 = -9x + 547", "Add 9x to both sides: 19x + 547 = 547", "Subtract 547 from both sides: 19x = 0", "Divide both sides by 19: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 48) + 67 = -9(x - 6) + 493", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 48, \"c\": 67, \"d\": -9, \"e\": 6, \"g\": 493, \"x\": 0}", "seed": "2227818406619153383", "semantic_fingerprint": "sha256:5b40c854917d28dbc26c5de4f717304d304fb4d571ddbb93514a957190273625", "generator_version": "3.0"}
{"id": "v3_val_00005391", "prompt": "Evaluate: -34 * 4 * (-6)", "solution_steps": ["Multiply: -34 * 4 = -136", "Multiply: -136 * (-6) = 816"], "final_answer": "816", "answer_type": "integer", "kind": "expression", "math_text": "-34 * 4 * (-6)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 4, \"c\": -6}", "seed": "6375230011828574397", "semantic_fingerprint": "sha256:053bc5efed27f1070200f1cbc5c513d1f2004c68a7523d0ab3c0a5d8be30e7a2", "generator_version": "3.0"}
{"id": "v3_val_00005392", "prompt": "Solve for x: 5x - 7 = 992", "solution_steps": ["Add 7 to both sides: 5x = 999", "Divide both sides by 5: x = 999/5"], "final_answer": "999/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 7 = 992", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 992}", "seed": "9640468397817996348", "semantic_fingerprint": "sha256:4ab5e5d04695d9b81a3fcd5d7402b5dffde84212023f9326e7edf9f71a5adbdc", "generator_version": "3.0"}
{"id": "v3_val_00005393", "prompt": "Solve for x: -5(x - 12) - 8 = 6(x + 8) - 85", "solution_steps": ["Expand: -5x + 60 - 8 = 6(x + 8) - 85", "Expand: -5x + 60 - 8 = 6x + 48 - 85", "Combine constants: -5x + 52 = 6x + 48 - 85", "Combine constants: -5x + 52 = 6x - 37", "Subtract 6x from both sides: -11x + 52 = -37", "Subtract 52 from both sides: -11x = -89", "Divide both sides by -11: x = 89/11"], "final_answer": "89/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 12) - 8 = 6(x + 8) - 85", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 12, \"c\": 8, \"d\": 6, \"e\": 8, \"f\": 85}", "seed": "660651409516162101", "semantic_fingerprint": "sha256:aa519f0edaf05393244f31fbd770633f9b172754537d002faeb7201b782bcf89", "generator_version": "3.0"}
{"id": "v3_val_00005394", "prompt": "Calculate: (6 - 0) * (-298)", "solution_steps": ["Subtract: 6 - 0 = 6", "Multiply: 6 * (-298) = -1788"], "final_answer": "-1788", "answer_type": "integer", "kind": "expression", "math_text": "(6 - 0) * (-298)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 0, \"c\": -298}", "seed": "13641078905953818803", "semantic_fingerprint": "sha256:e69deda6c3e58e1ebd4a17fc377a9521ab4d1e19fb02668b879e23290b3883b3", "generator_version": "3.0"}
{"id": "v3_val_00005395", "prompt": "Calculate: 34 / (921 * (-8))", "solution_steps": ["Multiply: 921 * (-8) = -7368", "Divide: 34 / (-7368) = -17/3684"], "final_answer": "-17/3684", "answer_type": "rational", "kind": "expression", "math_text": "34 / (921 * (-8))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 921, \"c\": -8}", "seed": "2942515984117556810", "semantic_fingerprint": "sha256:195a6ab83b4856b67225ad064cc58287ef8dcb45c65348b187c02bc2c86e52cf", "generator_version": "3.0"}
{"id": "v3_val_00005396", "prompt": "Solve the equation 10(x - 409) + 9 = -10x for x.", "solution_steps": ["Expand: 10x - 4090 + 9 = -10x", "Combine constants: 10x - 4081 = -10x", "Add 10x to both sides: 20x - 4081 = 0", "Add 4081 to both sides: 20x = 4081", "Divide both sides by 20: x = 4081/20"], "final_answer": "4081/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 409) + 9 = -10x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 409, \"c\": 9, \"d\": -10}", "seed": "16199570092053911431", "semantic_fingerprint": "sha256:67b8105ffee049dda90b4b8fa60106ea792b34d8e67e62159d3c5738a9301ca1", "generator_version": "3.0"}
{"id": "v3_val_00005397", "prompt": "Evaluate: 968 * (-99 * (9 / 2) + (-1) * (-70))", "solution_steps": ["Divide: 9 / 2 = 9/2", "Multiply: -99 * (9/2) = -891/2", "Multiply: -1 * (-70) = 70", "Add: -891/2 + 70 = -751/2", "Multiply: 968 * (-751/2) = -363484"], "final_answer": "-363484", "answer_type": "integer", "kind": "expression", "math_text": "968 * (-99 * (9 / 2) + (-1) * (-70))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (* n (/ n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 968, \"b\": -99, \"c\": 9, \"d\": 2, \"e\": -1, \"f\": -70}", "seed": "18140820879790102129", "semantic_fingerprint": "sha256:d620d9706a9356b82377aa39ddf5a03d98eb56ad33b20d5e7093972caf1f7697", "generator_version": "3.0"}
{"id": "v3_val_00005398", "prompt": "Evaluate: 71 * (60 / (758 - (-288) / 20)) - 37", "solution_steps": ["Divide: -288 / 20 = -72/5", "Subtract: 758 - (-72/5) = 3862/5", "Divide: 60 / (3862/5) = 150/1931", "Multiply: 71 * (150/1931) = 10650/1931", "Subtract: 10650/1931 - 37 = -60797/1931"], "final_answer": "-60797/1931", "answer_type": "rational", "kind": "expression", "math_text": "71 * (60 / (758 - (-288) / 20)) - 37", "variable": null, "family": "expression_5op", "shape": "(- (* n (/ n (- n (/ n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 60, \"c\": 758, \"d\": -288, \"e\": 20, \"f\": 37}", "seed": "5398296092781774732", "semantic_fingerprint": "sha256:bb80aeabb82188e3ac1a837cb8f104d5364e37a536329e7f8621a7ff122de316", "generator_version": "3.0"}
{"id": "v3_val_00005399", "prompt": "Calculate: -4 - 4 * (-2) + 8 / 32", "solution_steps": ["Multiply: 4 * (-2) = -8", "Subtract: -4 - (-8) = 4", "Divide: 8 / 32 = 1/4", "Add: 4 + 1/4 = 17/4"], "final_answer": "17/4", "answer_type": "rational", "kind": "expression", "math_text": "-4 - 4 * (-2) + 8 / 32", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": -2, \"d\": 8, \"e\": 32}", "seed": "17775603984686275919", "semantic_fingerprint": "sha256:a6f048aa92c4c436ca8fbea07eadc3d5c8f18d94803898192833668011f20976", "generator_version": "3.0"}
{"id": "v3_val_00005400", "prompt": "Find x: 11(x + 48) - 598 = 9(x - 738)", "solution_steps": ["Expand: 11x + 528 - 598 = 9(x - 738)", "Expand: 11x + 528 - 598 = 9x - 6642", "Combine constants: 11x - 70 = 9x - 6642", "Subtract 9x from both sides: 2x - 70 = -6642", "Add 70 to both sides: 2x = -6572", "Divide both sides by 2: x = -3286"], "final_answer": "-3286", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 48) - 598 = 9(x - 738)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 48, \"c\": 598, \"d\": 9, \"e\": 738}", "seed": "5794561849822544575", "semantic_fingerprint": "sha256:7ff13a3fa62b4c24b1966d40d36864ffbc57ec69e913b2bfd42237fe0d11b56f", "generator_version": "3.0"}
{"id": "v3_val_00005401", "prompt": "Evaluate: (-6 + (-58)) * (6 + 52)", "solution_steps": ["Add: -6 + (-58) = -64", "Add: 6 + 52 = 58", "Multiply: -64 * 58 = -3712"], "final_answer": "-3712", "answer_type": "integer", "kind": "expression", "math_text": "(-6 + (-58)) * (6 + 52)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -58, \"c\": 6, \"d\": 52}", "seed": "1800588757699195360", "semantic_fingerprint": "sha256:29d9093ad01aefaf3a7725d7566d1615768548938c4c38310dd196b650b95c53", "generator_version": "3.0"}
{"id": "v3_val_00005402", "prompt": "Calculate: -44 + (280 - 66)", "solution_steps": ["Subtract: 280 - 66 = 214", "Add: -44 + 214 = 170"], "final_answer": "170", "answer_type": "integer", "kind": "expression", "math_text": "-44 + (280 - 66)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 280, \"c\": 66}", "seed": "11079905141225167439", "semantic_fingerprint": "sha256:87f0b963575859f493822fd187423aec03d02eef1b6a0351c7a9d26e0e723134", "generator_version": "3.0"}
{"id": "v3_val_00005403", "prompt": "Evaluate: -68 - (-31) * (2 / 20 / (52 - 76))", "solution_steps": ["Divide: 2 / 20 = 1/10", "Subtract: 52 - 76 = -24", "Divide: (1/10) / (-24) = -1/240", "Multiply: -31 * (-1/240) = 31/240", "Subtract: -68 - 31/240 = -16351/240"], "final_answer": "-16351/240", "answer_type": "rational", "kind": "expression", "math_text": "-68 - (-31) * (2 / 20 / (52 - 76))", "variable": null, "family": "expression_5op", "shape": "(- n (* n (/ (/ n n) (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -31, \"c\": 2, \"d\": 20, \"e\": 52, \"f\": 76}", "seed": "496860848330421446", "semantic_fingerprint": "sha256:193893da52044cfd300ccb8784b9eed1ec22f55e0f6b89d0dd3ad834a38ac5ff", "generator_version": "3.0"}
{"id": "v3_val_00005404", "prompt": "Evaluate: -813 / 87 + (4 - 690)", "solution_steps": ["Divide: -813 / 87 = -271/29", "Subtract: 4 - 690 = -686", "Add: -271/29 + (-686) = -20165/29"], "final_answer": "-20165/29", "answer_type": "rational", "kind": "expression", "math_text": "-813 / 87 + (4 - 690)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -813, \"b\": 87, \"c\": 4, \"d\": 690}", "seed": "3106602164048875157", "semantic_fingerprint": "sha256:995412f23fcf32c73077237eb79b470d4c5e727e6b449ca326257653076a9777", "generator_version": "3.0"}
{"id": "v3_val_00005405", "prompt": "What is -267 - (7 - 23)?", "solution_steps": ["Subtract: 7 - 23 = -16", "Subtract: -267 - (-16) = -251"], "final_answer": "-251", "answer_type": "integer", "kind": "expression", "math_text": "-267 - (7 - 23)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -267, \"b\": 7, \"c\": 23}", "seed": "4184570835873867807", "semantic_fingerprint": "sha256:e8ed7e754999a4a3767fa0d89835e47583cdeaa02b841fd2e344c6e4949283a9", "generator_version": "3.0"}
{"id": "v3_val_00005406", "prompt": "Compute: -57 * (18 * 37) / (690 * (-39 - (-87)))", "solution_steps": ["Multiply: 18 * 37 = 666", "Multiply: -57 * 666 = -37962", "Subtract: -39 - (-87) = 48", "Multiply: 690 * 48 = 33120", "Divide: -37962 / 33120 = -2109/1840"], "final_answer": "-2109/1840", "answer_type": "rational", "kind": "expression", "math_text": "-57 * (18 * 37) / (690 * (-39 - (-87)))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (* n n)) (* n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 18, \"c\": 37, \"d\": 690, \"e\": -39, \"f\": -87}", "seed": "11999461809626345859", "semantic_fingerprint": "sha256:5b12bfd541c9eb514823167390c12e66173ef51d104b5c70e239858dfa9dd0ca", "generator_version": "3.0"}
{"id": "v3_val_00005407", "prompt": "What is -4 * (-6) - (-724)?", "solution_steps": ["Multiply: -4 * (-6) = 24", "Subtract: 24 - (-724) = 748"], "final_answer": "748", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-6) - (-724)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -6, \"c\": -724}", "seed": "18436742042728710164", "semantic_fingerprint": "sha256:603eec76e126dd9b6c7f6bf2dfa54b8881f217645bd7e77072d46289d5ff06da", "generator_version": "3.0"}
{"id": "v3_val_00005408", "prompt": "What is 57 + 930?", "solution_steps": ["Add: 57 + 930 = 987"], "final_answer": "987", "answer_type": "integer", "kind": "expression", "math_text": "57 + 930", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 930}", "seed": "4993033079756566745", "semantic_fingerprint": "sha256:f6e245e80e067820812e7fa2edef92d0bcde9efbb8842deb6b3355c677ea42d8", "generator_version": "3.0"}
{"id": "v3_val_00005409", "prompt": "Compute: 39 + (5 + (75 - 541 / 58))", "solution_steps": ["Divide: 541 / 58 = 541/58", "Subtract: 75 - 541/58 = 3809/58", "Add: 5 + 3809/58 = 4099/58", "Add: 39 + 4099/58 = 6361/58"], "final_answer": "6361/58", "answer_type": "rational", "kind": "expression", "math_text": "39 + (5 + (75 - 541 / 58))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 5, \"c\": 75, \"d\": 541, \"e\": 58}", "seed": "772606491797488113", "semantic_fingerprint": "sha256:c0635b4c8c6ee9c4e6b5849763dc331c3350a3e93c04dc71126868fbb6e50669", "generator_version": "3.0"}
{"id": "v3_val_00005410", "prompt": "Compute: -5 - 49 + (869 + (-208)) - (804 - 37)", "solution_steps": ["Subtract: -5 - 49 = -54", "Add: 869 + (-208) = 661", "Add: -54 + 661 = 607", "Subtract: 804 - 37 = 767", "Subtract: 607 - 767 = -160"], "final_answer": "-160", "answer_type": "integer", "kind": "expression", "math_text": "-5 - 49 + (869 + (-208)) - (804 - 37)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 49, \"c\": 869, \"d\": -208, \"e\": 804, \"f\": 37}", "seed": "12741467227235011062", "semantic_fingerprint": "sha256:f3496d3daac1d85426485bc53b4ed88a620edeca38072185f998056954837e2e", "generator_version": "3.0"}
{"id": "v3_val_00005411", "prompt": "What is 68 + 16 - 2?", "solution_steps": ["Add: 68 + 16 = 84", "Subtract: 84 - 2 = 82"], "final_answer": "82", "answer_type": "integer", "kind": "expression", "math_text": "68 + 16 - 2", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 16, \"c\": 2}", "seed": "16767122475240458879", "semantic_fingerprint": "sha256:e07b09f1a04898d0304d5c3db3914b6ff010355552c06b32f29dc175bb80bce7", "generator_version": "3.0"}
{"id": "v3_val_00005412", "prompt": "Calculate: -2 * (-6 + (-55) / (623 - 0))", "solution_steps": ["Subtract: 623 - 0 = 623", "Divide: -55 / 623 = -55/623", "Add: -6 + (-55/623) = -3793/623", "Multiply: -2 * (-3793/623) = 7586/623"], "final_answer": "7586/623", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (-6 + (-55) / (623 - 0))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (/ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -6, \"c\": -55, \"d\": 623, \"e\": 0}", "seed": "9745179166344130634", "semantic_fingerprint": "sha256:816e2b7da0d96ad1864357d7306cc462fd0169f98d1a86732391f34a50f23927", "generator_version": "3.0"}
{"id": "v3_val_00005413", "prompt": "What value of x satisfies x - 60 = 10x - 17?", "solution_steps": ["Subtract 10x from both sides: -9x - 60 = -17", "Add 60 to both sides: -9x = 43", "Divide both sides by -9: x = -43/9"], "final_answer": "-43/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 60 = 10x - 17", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 10, \"c\": 17}", "seed": "15600340102521579157", "semantic_fingerprint": "sha256:1f65cfe92acfc22a927c3aac20980e844552cba56080544799fb253c10421e4e", "generator_version": "3.0"}
{"id": "v3_val_00005414", "prompt": "Evaluate: 4 - (18 + 0 + (-3))", "solution_steps": ["Add: 18 + 0 = 18", "Add: 18 + (-3) = 15", "Subtract: 4 - 15 = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "expression", "math_text": "4 - (18 + 0 + (-3))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 18, \"c\": 0, \"d\": -3}", "seed": "10447483688693605915", "semantic_fingerprint": "sha256:ed22b4834bde9d839c4a00db2da30a1ef7cae0fa48ac5ed25b437ae6df7e4fda", "generator_version": "3.0"}
{"id": "v3_val_00005415", "prompt": "Compute: -902 / 2 * (1 + (-44)) + (-311)", "solution_steps": ["Divide: -902 / 2 = -451", "Add: 1 + (-44) = -43", "Multiply: -451 * (-43) = 19393", "Add: 19393 + (-311) = 19082"], "final_answer": "19082", "answer_type": "integer", "kind": "expression", "math_text": "-902 / 2 * (1 + (-44)) + (-311)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -902, \"b\": 2, \"c\": 1, \"d\": -44, \"e\": -311}", "seed": "14498767953359200914", "semantic_fingerprint": "sha256:0f21879fea6c692e9f9749309af22eea990c216f38fd58ed2194ff32032b3a07", "generator_version": "3.0"}
{"id": "v3_val_00005416", "prompt": "Calculate: (9 + (84 + 7)) * (-92)", "solution_steps": ["Add: 84 + 7 = 91", "Add: 9 + 91 = 100", "Multiply: 100 * (-92) = -9200"], "final_answer": "-9200", "answer_type": "integer", "kind": "expression", "math_text": "(9 + (84 + 7)) * (-92)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 84, \"c\": 7, \"d\": -92}", "seed": "17267939661992537620", "semantic_fingerprint": "sha256:16e4e7b6f994b154ad32cda327b26bb7bf2bddd1356546e5b6f3a03a2f9e426e", "generator_version": "3.0"}
{"id": "v3_val_00005417", "prompt": "What is 77 / (-32 * (-9))?", "solution_steps": ["Multiply: -32 * (-9) = 288", "Divide: 77 / 288 = 77/288"], "final_answer": "77/288", "answer_type": "rational", "kind": "expression", "math_text": "77 / (-32 * (-9))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -32, \"c\": -9}", "seed": "8462129592644865987", "semantic_fingerprint": "sha256:f6fdf1f4a3e063ccc4bc80981912b72ee91d6636d32116e6cd70c6b55edc1b09", "generator_version": "3.0"}
{"id": "v3_val_00005418", "prompt": "What is 40 + 98?", "solution_steps": ["Add: 40 + 98 = 138"], "final_answer": "138", "answer_type": "integer", "kind": "expression", "math_text": "40 + 98", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 98}", "seed": "94776276539362043", "semantic_fingerprint": "sha256:84821227465d1d814d9e9410b208dda1e234babfd084381d945a17eb34830ce8", "generator_version": "3.0"}
{"id": "v3_val_00005419", "prompt": "What is -1 / 68 + (-9)?", "solution_steps": ["Divide: -1 / 68 = -1/68", "Add: -1/68 + (-9) = -613/68"], "final_answer": "-613/68", "answer_type": "rational", "kind": "expression", "math_text": "-1 / 68 + (-9)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 68, \"c\": -9}", "seed": "3049016064518783087", "semantic_fingerprint": "sha256:2de7fa8212d7aecc044126cd83338996b87a30e49fcb7fb2df3dd8f8ae797417", "generator_version": "3.0"}
{"id": "v3_val_00005420", "prompt": "Compute: (463 - (773 - 4)) / (-73)", "solution_steps": ["Subtract: 773 - 4 = 769", "Subtract: 463 - 769 = -306", "Divide: -306 / (-73) = 306/73"], "final_answer": "306/73", "answer_type": "rational", "kind": "expression", "math_text": "(463 - (773 - 4)) / (-73)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 463, \"b\": 773, \"c\": 4, \"d\": -73}", "seed": "12685445773782107881", "semantic_fingerprint": "sha256:4133a78ccdc41118f45e79a42f517d5c3d417ad7a345d682a39ec53088d946ce", "generator_version": "3.0"}
{"id": "v3_val_00005421", "prompt": "Calculate: 85 - 46 * 655 / (-9 - 190)", "solution_steps": ["Multiply: 46 * 655 = 30130", "Subtract: -9 - 190 = -199", "Divide: 30130 / (-199) = -30130/199", "Subtract: 85 - (-30130/199) = 47045/199"], "final_answer": "47045/199", "answer_type": "rational", "kind": "expression", "math_text": "85 - 46 * 655 / (-9 - 190)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 46, \"c\": 655, \"d\": -9, \"e\": 190}", "seed": "11753764602923111024", "semantic_fingerprint": "sha256:636e61699ca455f45caa070e0f9a9f6b9352d2fe5b7199d5b35b1df89b83e714", "generator_version": "3.0"}
{"id": "v3_val_00005422", "prompt": "Compute: 1 + (-34) / (-7)", "solution_steps": ["Divide: -34 / (-7) = 34/7", "Add: 1 + 34/7 = 41/7"], "final_answer": "41/7", "answer_type": "rational", "kind": "expression", "math_text": "1 + (-34) / (-7)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -34, \"c\": -7}", "seed": "18061647483844561513", "semantic_fingerprint": "sha256:d01f2e154f13e3316deef9d6d95136e390909d237aea9534885f1a290861a915", "generator_version": "3.0"}
{"id": "v3_val_00005423", "prompt": "Compute: -5 + 51 / (-9) + 6 / (16 / 33)", "solution_steps": ["Divide: 51 / (-9) = -17/3", "Add: -5 + (-17/3) = -32/3", "Divide: 16 / 33 = 16/33", "Divide: 6 / (16/33) = 99/8", "Add: -32/3 + 99/8 = 41/24"], "final_answer": "41/24", "answer_type": "rational", "kind": "expression", "math_text": "-5 + 51 / (-9) + 6 / (16 / 33)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (/ n n)) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 51, \"c\": -9, \"d\": 6, \"e\": 16, \"f\": 33}", "seed": "11346921195679765645", "semantic_fingerprint": "sha256:d7182ac4d6438315485f8cac8f3d122313ec59f720f3a2cf53bb9d195195ff9e", "generator_version": "3.0"}
{"id": "v3_val_00005424", "prompt": "Compute: 7 + (-138)", "solution_steps": ["Add: 7 + (-138) = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-138)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -138}", "seed": "9007750760840170883", "semantic_fingerprint": "sha256:11de7697dfc14c9fbe99de58803a653024a1a7b2c2f249e763970f215f5ba58e", "generator_version": "3.0"}
{"id": "v3_val_00005425", "prompt": "Evaluate: 7 / 224 * 21 * (83 - (-42))", "solution_steps": ["Divide: 7 / 224 = 1/32", "Multiply: (1/32) * 21 = 21/32", "Subtract: 83 - (-42) = 125", "Multiply: (21/32) * 125 = 2625/32"], "final_answer": "2625/32", "answer_type": "rational", "kind": "expression", "math_text": "7 / 224 * 21 * (83 - (-42))", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 224, \"c\": 21, \"d\": 83, \"e\": -42}", "seed": "6798117642991414043", "semantic_fingerprint": "sha256:46696a9449208f80b8db2b27b868d849cdc287ba81654fd8e8706587aa124110", "generator_version": "3.0"}
{"id": "v3_val_00005426", "prompt": "What is 46 + (-122) / 26 + (-36 + 35)?", "solution_steps": ["Divide: -122 / 26 = -61/13", "Add: 46 + (-61/13) = 537/13", "Add: -36 + 35 = -1", "Add: 537/13 + (-1) = 524/13"], "final_answer": "524/13", "answer_type": "rational", "kind": "expression", "math_text": "46 + (-122) / 26 + (-36 + 35)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -122, \"c\": 26, \"d\": -36, \"e\": 35}", "seed": "16153671538244758656", "semantic_fingerprint": "sha256:506b8e05a4083ebb89381fa52aa9fbbc73e3e1f47d8951946a1fc87d8af54737", "generator_version": "3.0"}
{"id": "v3_val_00005427", "prompt": "Solve the equation x - 177 = 3x - 772 for x.", "solution_steps": ["Subtract 3x from both sides: -2x - 177 = -772", "Add 177 to both sides: -2x = -595", "Divide both sides by -2: x = 595/2"], "final_answer": "595/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 177 = 3x - 772", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 177, \"b\": 3, \"c\": 772}", "seed": "6790870056573748799", "semantic_fingerprint": "sha256:c5ae9904d41c140b62f1847de582a716e090b88958e2afa25d7f25557cd8a2ce", "generator_version": "3.0"}
{"id": "v3_val_00005428", "prompt": "Compute: -55 * 76 / (-5) / (-384) * (-92)", "solution_steps": ["Multiply: -55 * 76 = -4180", "Divide: -4180 / (-5) = 836", "Divide: 836 / (-384) = -209/96", "Multiply: (-209/96) * (-92) = 4807/24"], "final_answer": "4807/24", "answer_type": "rational", "kind": "expression", "math_text": "-55 * 76 / (-5) / (-384) * (-92)", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 76, \"c\": -5, \"d\": -384, \"e\": -92}", "seed": "14214816032510192087", "semantic_fingerprint": "sha256:c0606eeb7638de21a652713060f8e76c4f3b82a4201f6c930bc169e5ca4bf407", "generator_version": "3.0"}
{"id": "v3_val_00005429", "prompt": "Calculate: (-62 / (-87) - 2) * (971 + 75 * (-63))", "solution_steps": ["Divide: -62 / (-87) = 62/87", "Subtract: 62/87 - 2 = -112/87", "Multiply: 75 * (-63) = -4725", "Add: 971 + (-4725) = -3754", "Multiply: (-112/87) * (-3754) = 420448/87"], "final_answer": "420448/87", "answer_type": "rational", "kind": "expression", "math_text": "(-62 / (-87) - 2) * (971 + 75 * (-63))", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n n) n) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -87, \"c\": 2, \"d\": 971, \"e\": 75, \"f\": -63}", "seed": "11733113874228464390", "semantic_fingerprint": "sha256:bb78275c5e144f4330d751083bccf8b84e6b02db88572b60f393d270656b2351", "generator_version": "3.0"}
{"id": "v3_val_00005430", "prompt": "Solve the equation -12x + 238 = 5x for x.", "solution_steps": ["Subtract 5x from both sides: -17x + 238 = 0", "Subtract 238 from both sides: -17x = -238", "Divide both sides by -17: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 238 = 5x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 5, \"d\": 238, \"x\": 14}", "seed": "409418551774752211", "semantic_fingerprint": "sha256:6a10c67fbaec7779f7f26dbc13bea815a69e772591b7a50ec770218b7d8aee00", "generator_version": "3.0"}
{"id": "v3_val_00005431", "prompt": "What value of x satisfies 2(x + 2) = 11(x + 24) - 359?", "solution_steps": ["Expand: 2x + 4 = 11(x + 24) - 359", "Expand: 2x + 4 = 11x + 264 - 359", "Combine constants: 2x + 4 = 11x - 95", "Subtract 11x from both sides: -9x + 4 = -95", "Subtract 4 from both sides: -9x = -99", "Divide both sides by -9: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) = 11(x + 24) - 359", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 11, \"d\": 24, \"f\": -359, \"x\": 11}", "seed": "1787278573913102030", "semantic_fingerprint": "sha256:065f1468092a8713e8a78e8d94ece0bb84c7ad0421e89424f4085f54aee87d62", "generator_version": "3.0"}
{"id": "v3_val_00005432", "prompt": "What value of x satisfies 5(x - 9) + 13 = 7x - 66?", "solution_steps": ["Expand: 5x - 45 + 13 = 7x - 66", "Combine constants: 5x - 32 = 7x - 66", "Subtract 7x from both sides: -2x - 32 = -66", "Add 32 to both sides: -2x = -34", "Divide both sides by -2: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 9) + 13 = 7x - 66", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 13, \"d\": 7, \"e\": 66}", "seed": "9595648532418053042", "semantic_fingerprint": "sha256:ef81bc36f0e6ff1ab2a95fed6a3a3aa17022e710076ecf02c2a63f17f1bf8291", "generator_version": "3.0"}
{"id": "v3_val_00005433", "prompt": "Compute: 464 * (70 / 1)", "solution_steps": ["Divide: 70 / 1 = 70", "Multiply: 464 * 70 = 32480"], "final_answer": "32480", "answer_type": "integer", "kind": "expression", "math_text": "464 * (70 / 1)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 464, \"b\": 70, \"c\": 1}", "seed": "8528023554868229484", "semantic_fingerprint": "sha256:0908d06f1bbba9765e1407da974d7741bad9bee8fc433b93a22dbec054e735fd", "generator_version": "3.0"}
{"id": "v3_val_00005434", "prompt": "Calculate: -290 - 60 + (-8) * (-588) + 4", "solution_steps": ["Subtract: -290 - 60 = -350", "Multiply: -8 * (-588) = 4704", "Add: -350 + 4704 = 4354", "Add: 4354 + 4 = 4358"], "final_answer": "4358", "answer_type": "integer", "kind": "expression", "math_text": "-290 - 60 + (-8) * (-588) + 4", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -290, \"b\": 60, \"c\": -8, \"d\": -588, \"e\": 4}", "seed": "1922479947520662291", "semantic_fingerprint": "sha256:9e8f77b73aa795a464eb5a7bd99bfec6066a14e632beb233ff0bc1bd41209614", "generator_version": "3.0"}
{"id": "v3_val_00005435", "prompt": "Evaluate: -625 - (6 - 146)", "solution_steps": ["Subtract: 6 - 146 = -140", "Subtract: -625 - (-140) = -485"], "final_answer": "-485", "answer_type": "integer", "kind": "expression", "math_text": "-625 - (6 - 146)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -625, \"b\": 6, \"c\": 146}", "seed": "9900491107346876048", "semantic_fingerprint": "sha256:ee246d5a15a47b6f5a26a4b0f8c5a459b6dbc8be4caf3fe732a2028ed72191df", "generator_version": "3.0"}
{"id": "v3_val_00005436", "prompt": "Evaluate: -18 * 33 - (-3) * 9", "solution_steps": ["Multiply: -18 * 33 = -594", "Multiply: -3 * 9 = -27", "Subtract: -594 - (-27) = -567"], "final_answer": "-567", "answer_type": "integer", "kind": "expression", "math_text": "-18 * 33 - (-3) * 9", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 33, \"c\": -3, \"d\": 9}", "seed": "14744134542269591256", "semantic_fingerprint": "sha256:ea39e6a198c73f9bd000770555548e50e341011b4d44d8d1a1ba11ca8a474fa5", "generator_version": "3.0"}
{"id": "v3_val_00005437", "prompt": "Solve the equation 12(x + 9) - 46 = -5(x - 107) - 184 for x.", "solution_steps": ["Expand: 12x + 108 - 46 = -5(x - 107) - 184", "Expand: 12x + 108 - 46 = -5x + 535 - 184", "Combine constants: 12x + 62 = -5x + 535 - 184", "Combine constants: 12x + 62 = -5x + 351", "Add 5x to both sides: 17x + 62 = 351", "Subtract 62 from both sides: 17x = 289", "Divide both sides by 17: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 9) - 46 = -5(x - 107) - 184", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 46, \"d\": -5, \"e\": 107, \"g\": -184, \"x\": 17}", "seed": "14506122623983613186", "semantic_fingerprint": "sha256:e7bf77f7b027aa5e677f15b71b1d2330f5752e6c30615cc1391b491ca410f222", "generator_version": "3.0"}
{"id": "v3_val_00005438", "prompt": "Calculate: -43 * (-6) + (26 + 63)", "solution_steps": ["Multiply: -43 * (-6) = 258", "Add: 26 + 63 = 89", "Add: 258 + 89 = 347"], "final_answer": "347", "answer_type": "integer", "kind": "expression", "math_text": "-43 * (-6) + (26 + 63)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -6, \"c\": 26, \"d\": 63}", "seed": "3378527145032800341", "semantic_fingerprint": "sha256:d3f26fc77d7e64dd919aa1c372e9757934d716764593aa607e0e15b3061b5f20", "generator_version": "3.0"}
{"id": "v3_val_00005439", "prompt": "Find x: 3(x + 5) = 66", "solution_steps": ["Expand: 3x + 15 = 66", "Subtract 15 from both sides: 3x = 51", "Divide both sides by 3: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 5) = 66", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"d\": 66, \"x\": 17}", "seed": "10423526002357633573", "semantic_fingerprint": "sha256:85cfb1d1c0234e1407dd78a1bb9fbf8966ca87a0e1d9c01cba007e060840de87", "generator_version": "3.0"}
{"id": "v3_val_00005440", "prompt": "Evaluate: -737 + 39", "solution_steps": ["Add: -737 + 39 = -698"], "final_answer": "-698", "answer_type": "integer", "kind": "expression", "math_text": "-737 + 39", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -737, \"b\": 39}", "seed": "11099632418169053216", "semantic_fingerprint": "sha256:0f8f063deb3e05dea5bbb149d794a6faa4cd1e2636f559a5c23309a31e1d59b3", "generator_version": "3.0"}
{"id": "v3_val_00005441", "prompt": "What is 76 + 16?", "solution_steps": ["Add: 76 + 16 = 92"], "final_answer": "92", "answer_type": "integer", "kind": "expression", "math_text": "76 + 16", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 16}", "seed": "12471555334371161638", "semantic_fingerprint": "sha256:95ecb398a60958011a65dacf14ad0ce2ae4415064fd9e238aad5ea65b771a010", "generator_version": "3.0"}
{"id": "v3_val_00005442", "prompt": "Evaluate: -99 + (-4 - 906 - 9) - (-1 - 269)", "solution_steps": ["Subtract: -4 - 906 = -910", "Subtract: -910 - 9 = -919", "Add: -99 + (-919) = -1018", "Subtract: -1 - 269 = -270", "Subtract: -1018 - (-270) = -748"], "final_answer": "-748", "answer_type": "integer", "kind": "expression", "math_text": "-99 + (-4 - 906 - 9) - (-1 - 269)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- (- n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -4, \"c\": 906, \"d\": 9, \"e\": -1, \"f\": 269}", "seed": "1669324573423399710", "semantic_fingerprint": "sha256:bde24441567204fbc4b88788c0545bf48a6cf5e9dcf677c19560f877843c076a", "generator_version": "3.0"}
{"id": "v3_val_00005443", "prompt": "What value of x satisfies x + 50 = 5(x - 6)?", "solution_steps": ["Expand: x + 50 = 5x - 30", "Subtract 5x from both sides: -4x + 50 = -30", "Subtract 50 from both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 50 = 5(x - 6)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"d\": 50, \"x\": 20}", "seed": "15680079248352253197", "semantic_fingerprint": "sha256:2db85624de3cb41384af1fd05d8acb89cb0fd7dda6a54522afca55ea37539adc", "generator_version": "3.0"}
{"id": "v3_val_00005444", "prompt": "Solve for x: -11x + 12 = 3(x + 3) + 6", "solution_steps": ["Expand: -11x + 12 = 3x + 9 + 6", "Combine constants: -11x + 12 = 3x + 15", "Subtract 3x from both sides: -14x + 12 = 15", "Subtract 12 from both sides: -14x = 3", "Divide both sides by -14: x = -3/14"], "final_answer": "-3/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x + 12 = 3(x + 3) + 6", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 12, \"c\": 3, \"d\": 3, \"e\": 6}", "seed": "4050698748533275511", "semantic_fingerprint": "sha256:9f13648a51e64a242a16a4f2a0ed30e64e39a90879c79680bd4712fdbf00c23d", "generator_version": "3.0"}
{"id": "v3_val_00005445", "prompt": "What is -1 - (-96) + (-7)?", "solution_steps": ["Subtract: -1 - (-96) = 95", "Add: 95 + (-7) = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-96) + (-7)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -96, \"c\": -7}", "seed": "632199915425453750", "semantic_fingerprint": "sha256:9c53e4c9adbaa021a9a83cd1afc76936e5baaa0fb8c31d6ce524fe275b0178d7", "generator_version": "3.0"}
{"id": "v3_val_00005446", "prompt": "Solve for x: 2(x - 823) = -9(x - 1) + 59", "solution_steps": ["Expand: 2x - 1646 = -9(x - 1) + 59", "Expand: 2x - 1646 = -9x + 9 + 59", "Combine constants: 2x - 1646 = -9x + 68", "Add 9x to both sides: 11x - 1646 = 68", "Add 1646 to both sides: 11x = 1714", "Divide both sides by 11: x = 1714/11"], "final_answer": "1714/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 823) = -9(x - 1) + 59", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 823, \"c\": -9, \"d\": 1, \"e\": 59}", "seed": "1946252849119900468", "semantic_fingerprint": "sha256:b987c40521d4ec77700988a0408ce195c04a5474f6b9d1224e8db3db7e759846", "generator_version": "3.0"}
{"id": "v3_val_00005447", "prompt": "Evaluate: 87 / (306 / (-58) - 7 * 9)", "solution_steps": ["Divide: 306 / (-58) = -153/29", "Multiply: 7 * 9 = 63", "Subtract: -153/29 - 63 = -1980/29", "Divide: 87 / (-1980/29) = -841/660"], "final_answer": "-841/660", "answer_type": "rational", "kind": "expression", "math_text": "87 / (306 / (-58) - 7 * 9)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (/ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 306, \"c\": -58, \"d\": 7, \"e\": 9}", "seed": "694651070891322346", "semantic_fingerprint": "sha256:ab0c701b7b7e81a353909898bf95c5e7ad5259b59ecd0fa79395598ab28ed34d", "generator_version": "3.0"}
{"id": "v3_val_00005448", "prompt": "What is 25 + (-14 - 50)?", "solution_steps": ["Subtract: -14 - 50 = -64", "Add: 25 + (-64) = -39"], "final_answer": "-39", "answer_type": "integer", "kind": "expression", "math_text": "25 + (-14 - 50)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -14, \"c\": 50}", "seed": "3005278688303709212", "semantic_fingerprint": "sha256:f376d2aa8aa275104916eea58e73fd265a8f434df40e3e3bb6b3608908ede158", "generator_version": "3.0"}
{"id": "v3_val_00005449", "prompt": "Evaluate: 6 - (-22)", "solution_steps": ["Subtract: 6 - (-22) = 28"], "final_answer": "28", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-22)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -22}", "seed": "13048078780477683772", "semantic_fingerprint": "sha256:a8e0b102d83e0b5d4899fa72ead42b1934e8f21e32eeca26d580b03c335adb4d", "generator_version": "3.0"}
{"id": "v3_val_00005450", "prompt": "Solve for x: 5(x + 7) + 97 = -3(x - 28) + 112", "solution_steps": ["Expand: 5x + 35 + 97 = -3(x - 28) + 112", "Expand: 5x + 35 + 97 = -3x + 84 + 112", "Combine constants: 5x + 132 = -3x + 84 + 112", "Combine constants: 5x + 132 = -3x + 196", "Add 3x to both sides: 8x + 132 = 196", "Subtract 132 from both sides: 8x = 64", "Divide both sides by 8: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 7) + 97 = -3(x - 28) + 112", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 97, \"d\": -3, \"e\": 28, \"g\": 112, \"x\": 8}", "seed": "17290606726944491657", "semantic_fingerprint": "sha256:e81333863e5faf8d8a72bc1cc8422a4dd6d8f06717063d94d7e353191b5e3f12", "generator_version": "3.0"}
{"id": "v3_val_00005451", "prompt": "Compute: (-9 + 85 / (-4)) / (-4 - 41)", "solution_steps": ["Divide: 85 / (-4) = -85/4", "Add: -9 + (-85/4) = -121/4", "Subtract: -4 - 41 = -45", "Divide: (-121/4) / (-45) = 121/180"], "final_answer": "121/180", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + 85 / (-4)) / (-4 - 41)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 85, \"c\": -4, \"d\": -4, \"e\": 41}", "seed": "10948640305786794229", "semantic_fingerprint": "sha256:3d22a2e4d8b2751744c78f3386530747c5fb6bc3cf9c4a4ac0ba9b4a091036b7", "generator_version": "3.0"}
{"id": "v3_val_00005452", "prompt": "What is -3 / (-62) - (-38)?", "solution_steps": ["Divide: -3 / (-62) = 3/62", "Subtract: 3/62 - (-38) = 2359/62"], "final_answer": "2359/62", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-62) - (-38)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -62, \"c\": -38}", "seed": "5281521029726708590", "semantic_fingerprint": "sha256:e17c5aecb196c6fb3d52e5cbdabdca4a24f053b059be381d2bd30c1c39509461", "generator_version": "3.0"}
{"id": "v3_val_00005453", "prompt": "Calculate: -543 / (-9) - (-67) / (-373) - 1 + 0", "solution_steps": ["Divide: -543 / (-9) = 181/3", "Divide: -67 / (-373) = 67/373", "Subtract: 181/3 - 67/373 = 67312/1119", "Subtract: 67312/1119 - 1 = 66193/1119", "Add: 66193/1119 + 0 = 66193/1119"], "final_answer": "66193/1119", "answer_type": "rational", "kind": "expression", "math_text": "-543 / (-9) - (-67) / (-373) - 1 + 0", "variable": null, "family": "expression_5op", "shape": "(+ (- (- (/ n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -543, \"b\": -9, \"c\": -67, \"d\": -373, \"e\": 1, \"f\": 0}", "seed": "3611778742839234169", "semantic_fingerprint": "sha256:72cabe1cc594ec3f362fc4b350d2ff7a7387b31fedd9717a83a11c5c781bbd47", "generator_version": "3.0"}
{"id": "v3_val_00005454", "prompt": "What is -189 - (-6) / (-9 + 185)?", "solution_steps": ["Add: -9 + 185 = 176", "Divide: -6 / 176 = -3/88", "Subtract: -189 - (-3/88) = -16629/88"], "final_answer": "-16629/88", "answer_type": "rational", "kind": "expression", "math_text": "-189 - (-6) / (-9 + 185)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -189, \"b\": -6, \"c\": -9, \"d\": 185}", "seed": "12460968474400872022", "semantic_fingerprint": "sha256:5c4925ba3df287a27d1732968938e8f461476557fadfec719b99a402630334a5", "generator_version": "3.0"}
{"id": "v3_val_00005455", "prompt": "What is -89 * 589?", "solution_steps": ["Multiply: -89 * 589 = -52421"], "final_answer": "-52421", "answer_type": "integer", "kind": "expression", "math_text": "-89 * 589", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 589}", "seed": "15203896339720615307", "semantic_fingerprint": "sha256:9b9f8b6817bc8f04503451b47652e457d7f32619c90b455831f125431ea99f71", "generator_version": "3.0"}
{"id": "v3_val_00005456", "prompt": "Solve for x: -9x - 170 = x", "solution_steps": ["Subtract x from both sides: -10x - 170 = 0", "Add 170 to both sides: -10x = 170", "Divide both sides by -10: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 170 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"c\": -170, \"x\": -17}", "seed": "13177555993618570761", "semantic_fingerprint": "sha256:ce88ee6dd7322e28fa7a459b1cb79f23846278b35419041699015afe8c2d86cf", "generator_version": "3.0"}
{"id": "v3_val_00005457", "prompt": "What is 92 * 21 + (-90)?", "solution_steps": ["Multiply: 92 * 21 = 1932", "Add: 1932 + (-90) = 1842"], "final_answer": "1842", "answer_type": "integer", "kind": "expression", "math_text": "92 * 21 + (-90)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 21, \"c\": -90}", "seed": "7584250423152915248", "semantic_fingerprint": "sha256:4f9f26b429345c968e7254b124169339b8021acc3345918574eab1025b957faa", "generator_version": "3.0"}
{"id": "v3_val_00005458", "prompt": "Find x: 9(x + 5) = 6(x + 2) + 3", "solution_steps": ["Expand: 9x + 45 = 6(x + 2) + 3", "Expand: 9x + 45 = 6x + 12 + 3", "Combine constants: 9x + 45 = 6x + 15", "Subtract 6x from both sides: 3x + 45 = 15", "Subtract 45 from both sides: 3x = -30", "Divide both sides by 3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) = 6(x + 2) + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 6, \"d\": 2, \"f\": 3, \"x\": -10}", "seed": "6712167716036469738", "semantic_fingerprint": "sha256:b13282a64d8f4e38e7062edc09d35a324ff8e1ed12dc8c08a972543f64c0b972", "generator_version": "3.0"}
{"id": "v3_val_00005459", "prompt": "What is 1 / 15 * (55 * 293 * 62)?", "solution_steps": ["Divide: 1 / 15 = 1/15", "Multiply: 55 * 293 = 16115", "Multiply: 16115 * 62 = 999130", "Multiply: (1/15) * 999130 = 199826/3"], "final_answer": "199826/3", "answer_type": "rational", "kind": "expression", "math_text": "1 / 15 * (55 * 293 * 62)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 15, \"c\": 55, \"d\": 293, \"e\": 62}", "seed": "5007693036281291795", "semantic_fingerprint": "sha256:8d05186dbffabcf8b880aea5b8cfde0a249fb89d8f903679a44e59146b931fb7", "generator_version": "3.0"}
{"id": "v3_val_00005460", "prompt": "Find x: -6x + 88 = -2(x - 952) - 816", "solution_steps": ["Expand: -6x + 88 = -2x + 1904 - 816", "Combine constants: -6x + 88 = -2x + 1088", "Add 2x to both sides: -4x + 88 = 1088", "Subtract 88 from both sides: -4x = 1000", "Divide both sides by -4: x = -250"], "final_answer": "-250", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x + 88 = -2(x - 952) - 816", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 88, \"c\": -2, \"d\": 952, \"e\": 816}", "seed": "1263294250738225622", "semantic_fingerprint": "sha256:8dc7cdf2f4f3d02270924d4e6a281179aa2211e6a323176ea57870fb507eb905", "generator_version": "3.0"}
{"id": "v3_val_00005461", "prompt": "Calculate: 700 + 25 * 6", "solution_steps": ["Multiply: 25 * 6 = 150", "Add: 700 + 150 = 850"], "final_answer": "850", "answer_type": "integer", "kind": "expression", "math_text": "700 + 25 * 6", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 700, \"b\": 25, \"c\": 6}", "seed": "15319934688009726375", "semantic_fingerprint": "sha256:ccd3fe05b430e515d975987708ff58e7a6117016e28b9cd68cd153661144c485", "generator_version": "3.0"}
{"id": "v3_val_00005462", "prompt": "What is (-9 - 85) * 90?", "solution_steps": ["Subtract: -9 - 85 = -94", "Multiply: -94 * 90 = -8460"], "final_answer": "-8460", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 85) * 90", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 85, \"c\": 90}", "seed": "11846379495082000216", "semantic_fingerprint": "sha256:4f673106aba7bb412c41131647d2a8eb52085e658a5fa27614a806b2d6b4b374", "generator_version": "3.0"}
{"id": "v3_val_00005463", "prompt": "Compute: -984 - 2", "solution_steps": ["Subtract: -984 - 2 = -986"], "final_answer": "-986", "answer_type": "integer", "kind": "expression", "math_text": "-984 - 2", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -984, \"b\": 2}", "seed": "7787670953998952958", "semantic_fingerprint": "sha256:de5e01d36aa5a66c67d8df0186dfe55557e3da8657ff8eb85cf67138310583aa", "generator_version": "3.0"}
{"id": "v3_val_00005464", "prompt": "What value of x satisfies -3(x + 4) - 92 = -161?", "solution_steps": ["Expand: -3x - 12 - 92 = -161", "Combine constants: -3x - 104 = -161", "Add 104 to both sides: -3x = -57", "Divide both sides by -3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 4) - 92 = -161", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": 92, \"e\": -161, \"x\": 19}", "seed": "13121213249539349116", "semantic_fingerprint": "sha256:3551318b792e33def871f977b184762130fcedcc8f172e6d22a61607d46a0d62", "generator_version": "3.0"}
{"id": "v3_val_00005465", "prompt": "Compute: -9 + (-11) / (-71) - (940 + (-1)) / (-9)", "solution_steps": ["Divide: -11 / (-71) = 11/71", "Add: -9 + 11/71 = -628/71", "Add: 940 + (-1) = 939", "Divide: 939 / (-9) = -313/3", "Subtract: -628/71 - (-313/3) = 20339/213"], "final_answer": "20339/213", "answer_type": "rational", "kind": "expression", "math_text": "-9 + (-11) / (-71) - (940 + (-1)) / (-9)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ n n)) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -11, \"c\": -71, \"d\": 940, \"e\": -1, \"f\": -9}", "seed": "13004128873426205293", "semantic_fingerprint": "sha256:5a503a4d8e113869d4f0e3c249f5ee7ef30bb8564c8eb0409bba7efcf000dc3d", "generator_version": "3.0"}
{"id": "v3_val_00005466", "prompt": "What is 60 + (90 - 169 + 56 * (-40))?", "solution_steps": ["Subtract: 90 - 169 = -79", "Multiply: 56 * (-40) = -2240", "Add: -79 + (-2240) = -2319", "Add: 60 + (-2319) = -2259"], "final_answer": "-2259", "answer_type": "integer", "kind": "expression", "math_text": "60 + (90 - 169 + 56 * (-40))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 90, \"c\": 169, \"d\": 56, \"e\": -40}", "seed": "6384306321037208627", "semantic_fingerprint": "sha256:76a34157b229d2e1e5937289df254afcbe09d48fcb7ca872296da8db8d1ced21", "generator_version": "3.0"}
{"id": "v3_val_00005467", "prompt": "Find x: 10(x + 67) = x", "solution_steps": ["Expand: 10x + 670 = x", "Subtract x from both sides: 9x + 670 = 0", "Subtract 670 from both sides: 9x = -670", "Divide both sides by 9: x = -670/9"], "final_answer": "-670/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 67) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 67}", "seed": "8264915226998446999", "semantic_fingerprint": "sha256:91ead736d306e2d01ce2ee44830d19807d8a48f2d7f9b58b75d939d14933b474", "generator_version": "3.0"}
{"id": "v3_val_00005468", "prompt": "Evaluate: 1 * (801 / 564 - 9 / 33) * (-5)", "solution_steps": ["Divide: 801 / 564 = 267/188", "Divide: 9 / 33 = 3/11", "Subtract: 267/188 - 3/11 = 2373/2068", "Multiply: 1 * (2373/2068) = 2373/2068", "Multiply: (2373/2068) * (-5) = -11865/2068"], "final_answer": "-11865/2068", "answer_type": "rational", "kind": "expression", "math_text": "1 * (801 / 564 - 9 / 33) * (-5)", "variable": null, "family": "expression_5op", "shape": "(* (* n (- (/ n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 801, \"c\": 564, \"d\": 9, \"e\": 33, \"f\": -5}", "seed": "10932738231244881650", "semantic_fingerprint": "sha256:70f0068bb5f8a3f878de8f512544f98af40382694b883f706c67c0833503dfca", "generator_version": "3.0"}
{"id": "v3_val_00005469", "prompt": "Calculate: (78 - 8) * (-63 - 0 * (-9))", "solution_steps": ["Subtract: 78 - 8 = 70", "Multiply: 0 * (-9) = 0", "Subtract: -63 - 0 = -63", "Multiply: 70 * (-63) = -4410"], "final_answer": "-4410", "answer_type": "integer", "kind": "expression", "math_text": "(78 - 8) * (-63 - 0 * (-9))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 8, \"c\": -63, \"d\": 0, \"e\": -9}", "seed": "4599588375861106527", "semantic_fingerprint": "sha256:76f0a11df9910ff1f45add8cde0e4ad4d02582fa4cbeeac53f019b7ff16ffc1d", "generator_version": "3.0"}
{"id": "v3_val_00005470", "prompt": "Solve for x: -7(x + 94) + 606 = -3x", "solution_steps": ["Expand: -7x - 658 + 606 = -3x", "Combine constants: -7x - 52 = -3x", "Add 3x to 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": "-7(x + 94) + 606 = -3x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 94, \"c\": -3, \"e\": 606, \"x\": -13}", "seed": "8195551242548244658", "semantic_fingerprint": "sha256:0b9ded0a0c29dc44ba00bf1b99082a53e1dd10cdd6cced25b9a9638f22eae794", "generator_version": "3.0"}
{"id": "v3_val_00005471", "prompt": "Evaluate: -1 - (-32 + (-88) - 6)", "solution_steps": ["Add: -32 + (-88) = -120", "Subtract: -120 - 6 = -126", "Subtract: -1 - (-126) = 125"], "final_answer": "125", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-32 + (-88) - 6)", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -32, \"c\": -88, \"d\": 6}", "seed": "8121072829996421476", "semantic_fingerprint": "sha256:ac3478bbb72ce2b9fd18e2c5b0bd7ba0746807a346402349b42dcfce332813a8", "generator_version": "3.0"}
{"id": "v3_val_00005472", "prompt": "Compute: -62 * (-6 + (-59))", "solution_steps": ["Add: -6 + (-59) = -65", "Multiply: -62 * (-65) = 4030"], "final_answer": "4030", "answer_type": "integer", "kind": "expression", "math_text": "-62 * (-6 + (-59))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -6, \"c\": -59}", "seed": "17981259966417300845", "semantic_fingerprint": "sha256:660171b552d546c270898142b2f0d1a405ea93a78b71999d4e2d0ba4f40cfd34", "generator_version": "3.0"}
{"id": "v3_val_00005473", "prompt": "What is -8 * (-16)?", "solution_steps": ["Multiply: -8 * (-16) = 128"], "final_answer": "128", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-16)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -16}", "seed": "8492486968370277560", "semantic_fingerprint": "sha256:c822151f322494257aa567a593cc97465fb2127f1dc666db4793e99c999047cc", "generator_version": "3.0"}
{"id": "v3_val_00005474", "prompt": "Evaluate: (-30 + (-46) * (-37)) * (-7 / 77)", "solution_steps": ["Multiply: -46 * (-37) = 1702", "Add: -30 + 1702 = 1672", "Divide: -7 / 77 = -1/11", "Multiply: 1672 * (-1/11) = -152"], "final_answer": "-152", "answer_type": "integer", "kind": "expression", "math_text": "(-30 + (-46) * (-37)) * (-7 / 77)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -46, \"c\": -37, \"d\": -7, \"e\": 77}", "seed": "1692943459526322503", "semantic_fingerprint": "sha256:a28c568842ef46256ddebb7e381ffcd44aa11a97136a50dbf132924bb6a8d9eb", "generator_version": "3.0"}
{"id": "v3_val_00005475", "prompt": "Find x: -11(x + 436) - 70 = 11(x - 5) - 6", "solution_steps": ["Expand: -11x - 4796 - 70 = 11(x - 5) - 6", "Expand: -11x - 4796 - 70 = 11x - 55 - 6", "Combine constants: -11x - 4866 = 11x - 55 - 6", "Combine constants: -11x - 4866 = 11x - 61", "Subtract 11x from both sides: -22x - 4866 = -61", "Add 4866 to both sides: -22x = 4805", "Divide both sides by -22: x = -4805/22"], "final_answer": "-4805/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 436) - 70 = 11(x - 5) - 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\": 436, \"c\": 70, \"d\": 11, \"e\": 5, \"f\": 6}", "seed": "3364640460960010250", "semantic_fingerprint": "sha256:2e4155b5f74debdf9d509778bb31961556aabed7d3ec9c52e7e311b0789da780", "generator_version": "3.0"}
{"id": "v3_val_00005476", "prompt": "Solve the equation -4(x - 33) = 6(x + 167) - 910 for x.", "solution_steps": ["Expand: -4x + 132 = 6(x + 167) - 910", "Expand: -4x + 132 = 6x + 1002 - 910", "Combine constants: -4x + 132 = 6x + 92", "Subtract 6x from both sides: -10x + 132 = 92", "Subtract 132 from both sides: -10x = -40", "Divide both sides by -10: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 33) = 6(x + 167) - 910", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 33, \"c\": 6, \"d\": 167, \"f\": -910, \"x\": 4}", "seed": "18059708371230444158", "semantic_fingerprint": "sha256:65c305f5a230f7695855f7d8fc657b1cbd99108f13423ec56f3fbddc60672856", "generator_version": "3.0"}
{"id": "v3_val_00005477", "prompt": "Calculate: 15 * 685", "solution_steps": ["Multiply: 15 * 685 = 10275"], "final_answer": "10275", "answer_type": "integer", "kind": "expression", "math_text": "15 * 685", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 685}", "seed": "8221739188486134475", "semantic_fingerprint": "sha256:13a77b1ec1a58dcbb6b90b53f7844469e003a9869560f9200190d6831d2d291c", "generator_version": "3.0"}
{"id": "v3_val_00005478", "prompt": "Compute: -484 + (-1)", "solution_steps": ["Add: -484 + (-1) = -485"], "final_answer": "-485", "answer_type": "integer", "kind": "expression", "math_text": "-484 + (-1)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -484, \"b\": -1}", "seed": "17639787930136656583", "semantic_fingerprint": "sha256:027aa3ec98d15ba0c6bd091229d186465d49bcd647fd76af9b2d2531da2d7cb3", "generator_version": "3.0"}
{"id": "v3_val_00005479", "prompt": "Calculate: 898 * (-49) + 26", "solution_steps": ["Multiply: 898 * (-49) = -44002", "Add: -44002 + 26 = -43976"], "final_answer": "-43976", "answer_type": "integer", "kind": "expression", "math_text": "898 * (-49) + 26", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 898, \"b\": -49, \"c\": 26}", "seed": "5159918505782303837", "semantic_fingerprint": "sha256:e8d3f9f95a46020d129bdc4d6f21de7b03911662f6e3436c936c00ed956b1935", "generator_version": "3.0"}
{"id": "v3_val_00005480", "prompt": "What value of x satisfies 6(x - 4) - 93 = 2(x + 62) - 205?", "solution_steps": ["Expand: 6x - 24 - 93 = 2(x + 62) - 205", "Expand: 6x - 24 - 93 = 2x + 124 - 205", "Combine constants: 6x - 117 = 2x + 124 - 205", "Combine constants: 6x - 117 = 2x - 81", "Subtract 2x from both sides: 4x - 117 = -81", "Add 117 to both sides: 4x = 36", "Divide both sides by 4: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 4) - 93 = 2(x + 62) - 205", "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\": 93, \"d\": 2, \"e\": 62, \"g\": -205, \"x\": 9}", "seed": "10107482529897497490", "semantic_fingerprint": "sha256:9806e67fac41318e34e9a0bb938f40dbf5d5094e031fcabfe920cc8fa7d66b30", "generator_version": "3.0"}
{"id": "v3_val_00005481", "prompt": "What is -675 * 68 + (-178)?", "solution_steps": ["Multiply: -675 * 68 = -45900", "Add: -45900 + (-178) = -46078"], "final_answer": "-46078", "answer_type": "integer", "kind": "expression", "math_text": "-675 * 68 + (-178)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -675, \"b\": 68, \"c\": -178}", "seed": "5116663718242647599", "semantic_fingerprint": "sha256:41870261409a153a0bcea15e3d50b66899062922f80ddbad6e024d0eb50ef3ab", "generator_version": "3.0"}
{"id": "v3_val_00005482", "prompt": "Evaluate: -23 * (72 - (52 + 837)) + (-67)", "solution_steps": ["Add: 52 + 837 = 889", "Subtract: 72 - 889 = -817", "Multiply: -23 * (-817) = 18791", "Add: 18791 + (-67) = 18724"], "final_answer": "18724", "answer_type": "integer", "kind": "expression", "math_text": "-23 * (72 - (52 + 837)) + (-67)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 72, \"c\": 52, \"d\": 837, \"e\": -67}", "seed": "11460116826085824675", "semantic_fingerprint": "sha256:112c693569d1be4e91a444777a318e73d5252b5f06f0db2d8d2702437551ab3b", "generator_version": "3.0"}
{"id": "v3_val_00005483", "prompt": "Solve the equation 3(x + 4) - 61 = x for x.", "solution_steps": ["Expand: 3x + 12 - 61 = x", "Combine constants: 3x - 49 = x", "Subtract x from both sides: 2x - 49 = 0", "Add 49 to both sides: 2x = 49", "Divide both sides by 2: x = 49/2"], "final_answer": "49/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 4) - 61 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 61}", "seed": "6118208498069722076", "semantic_fingerprint": "sha256:7d1b5fdc5c0db13cad76e8ddf09ba632c2bf954f18034d228d83c0b4e95cb8ab", "generator_version": "3.0"}
{"id": "v3_val_00005484", "prompt": "What is -39 * (-13)?", "solution_steps": ["Multiply: -39 * (-13) = 507"], "final_answer": "507", "answer_type": "integer", "kind": "expression", "math_text": "-39 * (-13)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -13}", "seed": "6937069877191130250", "semantic_fingerprint": "sha256:92c65cbf4533cb5ee6b83d49d7e3be508505f5195506e41b907e721b28d52395", "generator_version": "3.0"}
{"id": "v3_val_00005485", "prompt": "Calculate: -71 / (-49 + (-59 - 74))", "solution_steps": ["Subtract: -59 - 74 = -133", "Add: -49 + (-133) = -182", "Divide: -71 / (-182) = 71/182"], "final_answer": "71/182", "answer_type": "rational", "kind": "expression", "math_text": "-71 / (-49 + (-59 - 74))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -49, \"c\": -59, \"d\": 74}", "seed": "18321862771554790712", "semantic_fingerprint": "sha256:91202591b66133aef265c510a7cd070172fa235baab9e6500c61f157763d5ffd", "generator_version": "3.0"}
{"id": "v3_val_00005486", "prompt": "Evaluate: 600 * (-2 + (-83) + (-3))", "solution_steps": ["Add: -2 + (-83) = -85", "Add: -85 + (-3) = -88", "Multiply: 600 * (-88) = -52800"], "final_answer": "-52800", "answer_type": "integer", "kind": "expression", "math_text": "600 * (-2 + (-83) + (-3))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 600, \"b\": -2, \"c\": -83, \"d\": -3}", "seed": "6944470813192635198", "semantic_fingerprint": "sha256:efb8cefd65e74a9d339a3d143c61fbfb006f4eadffb77ba029d5c691bab94626", "generator_version": "3.0"}
{"id": "v3_val_00005487", "prompt": "Solve for x: x - 133 = 8x", "solution_steps": ["Subtract 8x from both sides: -7x - 133 = 0", "Add 133 to both sides: -7x = 133", "Divide both sides by -7: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 133 = 8x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": -133, \"x\": -19}", "seed": "15535504605399704855", "semantic_fingerprint": "sha256:c07214a14ac0c1c44ee66623e45eebc149cffc8b13fcc9197bf79658e6135816", "generator_version": "3.0"}
{"id": "v3_val_00005488", "prompt": "Solve for x: 2(x - 4) - 48 = -2x", "solution_steps": ["Expand: 2x - 8 - 48 = -2x", "Combine constants: 2x - 56 = -2x", "Add 2x to both sides: 4x - 56 = 0", "Add 56 to both sides: 4x = 56", "Divide both sides by 4: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 4) - 48 = -2x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": -2, \"e\": -48, \"x\": 14}", "seed": "16655047421734472394", "semantic_fingerprint": "sha256:5f8bfc5df2e5b69dd08eae9c75a8ab04ae16eafd7b5caa2b09604c36c9d98fc4", "generator_version": "3.0"}
{"id": "v3_val_00005489", "prompt": "Find x: -8x - 505 = x", "solution_steps": ["Subtract x from both sides: -9x - 505 = 0", "Add 505 to both sides: -9x = 505", "Divide both sides by -9: x = -505/9"], "final_answer": "-505/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x - 505 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 505}", "seed": "10162847938662481594", "semantic_fingerprint": "sha256:f5bb032ac8ec596c8bb247a94fc672095989a3dbb893b472675eb801962d4f39", "generator_version": "3.0"}
{"id": "v3_val_00005490", "prompt": "Evaluate: 236 * (-10 - 157) / (-34)", "solution_steps": ["Subtract: -10 - 157 = -167", "Multiply: 236 * (-167) = -39412", "Divide: -39412 / (-34) = 19706/17"], "final_answer": "19706/17", "answer_type": "rational", "kind": "expression", "math_text": "236 * (-10 - 157) / (-34)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 236, \"b\": -10, \"c\": 157, \"d\": -34}", "seed": "16419906494774190865", "semantic_fingerprint": "sha256:2df6b5aee502677e27a17ba401b75d87699cf268fd5b944e2cc6ea99bd9b4c23", "generator_version": "3.0"}
{"id": "v3_val_00005491", "prompt": "Calculate: 8 * (-6 - (-800))", "solution_steps": ["Subtract: -6 - (-800) = 794", "Multiply: 8 * 794 = 6352"], "final_answer": "6352", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-6 - (-800))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -6, \"c\": -800}", "seed": "12795499451194941285", "semantic_fingerprint": "sha256:02a96dd1870d608f081c4e0ab43bf5454599b25606c6fb251e988612a54cbb6a", "generator_version": "3.0"}
{"id": "v3_val_00005492", "prompt": "Compute: 88 * 5", "solution_steps": ["Multiply: 88 * 5 = 440"], "final_answer": "440", "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": "11645135237692907291", "semantic_fingerprint": "sha256:7f2b8b728268ece789c5e2ec235f6ccf820434daf55d9fb79b6332fec26ce1cf", "generator_version": "3.0"}
{"id": "v3_val_00005493", "prompt": "What value of x satisfies 6(x + 6) - 576 = 8(x + 37) - 846?", "solution_steps": ["Expand: 6x + 36 - 576 = 8(x + 37) - 846", "Expand: 6x + 36 - 576 = 8x + 296 - 846", "Combine constants: 6x - 540 = 8x + 296 - 846", "Combine constants: 6x - 540 = 8x - 550", "Subtract 8x from both sides: -2x - 540 = -550", "Add 540 to both sides: -2x = -10", "Divide both sides by -2: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 6) - 576 = 8(x + 37) - 846", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 576, \"d\": 8, \"e\": 37, \"g\": -846, \"x\": 5}", "seed": "11599775808343323477", "semantic_fingerprint": "sha256:cf56ca180efb6ccc0a213cdd6c4a25f86930c53848099349e92b9d4aee8f4774", "generator_version": "3.0"}
{"id": "v3_val_00005494", "prompt": "Solve the equation 9(x + 46) + 7 = 2(x - 4) + 310 for x.", "solution_steps": ["Expand: 9x + 414 + 7 = 2(x - 4) + 310", "Expand: 9x + 414 + 7 = 2x - 8 + 310", "Combine constants: 9x + 421 = 2x - 8 + 310", "Combine constants: 9x + 421 = 2x + 302", "Subtract 2x from both sides: 7x + 421 = 302", "Subtract 421 from both sides: 7x = -119", "Divide both sides by 7: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 46) + 7 = 2(x - 4) + 310", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 46, \"c\": 7, \"d\": 2, \"e\": 4, \"g\": 310, \"x\": -17}", "seed": "17464861636630373291", "semantic_fingerprint": "sha256:d93f31fb93037fcbe6e3cc575f3dc084c02ec8654b3c9ce36ac0af792af3d1f1", "generator_version": "3.0"}
{"id": "v3_val_00005495", "prompt": "What is -95 + (-863 + 711) * (2 * (-699))?", "solution_steps": ["Add: -863 + 711 = -152", "Multiply: 2 * (-699) = -1398", "Multiply: -152 * (-1398) = 212496", "Add: -95 + 212496 = 212401"], "final_answer": "212401", "answer_type": "integer", "kind": "expression", "math_text": "-95 + (-863 + 711) * (2 * (-699))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -863, \"c\": 711, \"d\": 2, \"e\": -699}", "seed": "6970369440679967878", "semantic_fingerprint": "sha256:aa47d294883bde0994c8fa165ff38d46a4f780650035ae49595a1070bdf6f930", "generator_version": "3.0"}
{"id": "v3_val_00005496", "prompt": "Calculate: (3 - 87) * 38 + (-88 + (-173))", "solution_steps": ["Subtract: 3 - 87 = -84", "Multiply: -84 * 38 = -3192", "Add: -88 + (-173) = -261", "Add: -3192 + (-261) = -3453"], "final_answer": "-3453", "answer_type": "integer", "kind": "expression", "math_text": "(3 - 87) * 38 + (-88 + (-173))", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 87, \"c\": 38, \"d\": -88, \"e\": -173}", "seed": "11193492682791284121", "semantic_fingerprint": "sha256:405c07cf391ca980ce06a8be6d4e6d3a5dce7cab462a105e9dfa8aa7463ee3b7", "generator_version": "3.0"}
{"id": "v3_val_00005497", "prompt": "Evaluate: -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": "10023732485772937980", "semantic_fingerprint": "sha256:a9b2aaa179b9f7ac0d71e835c71861cab555fecc85d8bee8a53d971a9a83adb6", "generator_version": "3.0"}
{"id": "v3_val_00005498", "prompt": "Calculate: 18 + 0 + (62 - 79)", "solution_steps": ["Add: 18 + 0 = 18", "Subtract: 62 - 79 = -17", "Add: 18 + (-17) = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "18 + 0 + (62 - 79)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 0, \"c\": 62, \"d\": 79}", "seed": "7423696754982455105", "semantic_fingerprint": "sha256:273adbb5463a6ec3ec01ae53a9c33491957d1a6efe017ea94047feedb7f67c8e", "generator_version": "3.0"}
{"id": "v3_val_00005499", "prompt": "Evaluate: -9 * (5 - (-79))", "solution_steps": ["Subtract: 5 - (-79) = 84", "Multiply: -9 * 84 = -756"], "final_answer": "-756", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (5 - (-79))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": -79}", "seed": "2044565035043966029", "semantic_fingerprint": "sha256:12717d8df8082dcab19a072723af8481144ea01e8139b54710e9e26020e4ccd8", "generator_version": "3.0"}
{"id": "v3_val_00005500", "prompt": "Compute: (951 + (-3)) / (0 + 65 - (-37))", "solution_steps": ["Add: 951 + (-3) = 948", "Add: 0 + 65 = 65", "Subtract: 65 - (-37) = 102", "Divide: 948 / 102 = 158/17"], "final_answer": "158/17", "answer_type": "rational", "kind": "expression", "math_text": "(951 + (-3)) / (0 + 65 - (-37))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 951, \"b\": -3, \"c\": 0, \"d\": 65, \"e\": -37}", "seed": "9178112334461429520", "semantic_fingerprint": "sha256:de11af356760cae8def7362007020c403d393d0c969dbdbac2ad26dcbc64464a", "generator_version": "3.0"}
{"id": "v3_val_00005501", "prompt": "What is (-416 - (-88) * (-5)) * (-6 / 34 * (-35))?", "solution_steps": ["Multiply: -88 * (-5) = 440", "Subtract: -416 - 440 = -856", "Divide: -6 / 34 = -3/17", "Multiply: (-3/17) * (-35) = 105/17", "Multiply: -856 * (105/17) = -89880/17"], "final_answer": "-89880/17", "answer_type": "rational", "kind": "expression", "math_text": "(-416 - (-88) * (-5)) * (-6 / 34 * (-35))", "variable": null, "family": "expression_5op", "shape": "(* (- n (* n n)) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -416, \"b\": -88, \"c\": -5, \"d\": -6, \"e\": 34, \"f\": -35}", "seed": "1354544132933146394", "semantic_fingerprint": "sha256:f579f2a72833f520c9f4be27551db5a152463a80f4fb9164582e61b3c408838f", "generator_version": "3.0"}
{"id": "v3_val_00005502", "prompt": "Solve the equation x + 30 = 5x for x.", "solution_steps": ["Subtract 5x from both sides: -4x + 30 = 0", "Subtract 30 from 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 + 30 = 5x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 5}", "seed": "9409613716665448141", "semantic_fingerprint": "sha256:ae0b5996f84e9738a47515d8782b0440c227ce60474843b1ad5d164f6d123b96", "generator_version": "3.0"}
{"id": "v3_val_00005503", "prompt": "Evaluate: -576 / (-70)", "solution_steps": ["Divide: -576 / (-70) = 288/35"], "final_answer": "288/35", "answer_type": "rational", "kind": "expression", "math_text": "-576 / (-70)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -576, \"b\": -70}", "seed": "12440823153195834443", "semantic_fingerprint": "sha256:c6f60ae13d72f11527b7c7804fc80498ba6e0d41f0bc541ce034b43993bc90c0", "generator_version": "3.0"}
{"id": "v3_val_00005504", "prompt": "Compute: -803 - (-818) / (-77) + (68 + (8 - (-2)))", "solution_steps": ["Divide: -818 / (-77) = 818/77", "Subtract: -803 - 818/77 = -62649/77", "Subtract: 8 - (-2) = 10", "Add: 68 + 10 = 78", "Add: -62649/77 + 78 = -56643/77"], "final_answer": "-56643/77", "answer_type": "rational", "kind": "expression", "math_text": "-803 - (-818) / (-77) + (68 + (8 - (-2)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -803, \"b\": -818, \"c\": -77, \"d\": 68, \"e\": 8, \"f\": -2}", "seed": "13597217776815117566", "semantic_fingerprint": "sha256:ac976d5aa2c112a874e4d2e9ca4b77cf494856b906dfc265b5e5f02522280484", "generator_version": "3.0"}
{"id": "v3_val_00005505", "prompt": "Compute: (523 - (-9)) / (-8 / 4)", "solution_steps": ["Subtract: 523 - (-9) = 532", "Divide: -8 / 4 = -2", "Divide: 532 / (-2) = -266"], "final_answer": "-266", "answer_type": "integer", "kind": "expression", "math_text": "(523 - (-9)) / (-8 / 4)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 523, \"b\": -9, \"c\": -8, \"d\": 4}", "seed": "6797212333899093284", "semantic_fingerprint": "sha256:f1db28a39444a30456aff2ed535ff3e3d32b6b4f86f7c1598719d7b67ec18fd0", "generator_version": "3.0"}
{"id": "v3_val_00005506", "prompt": "What is -17 * (-765 - (42 - (-7)))?", "solution_steps": ["Subtract: 42 - (-7) = 49", "Subtract: -765 - 49 = -814", "Multiply: -17 * (-814) = 13838"], "final_answer": "13838", "answer_type": "integer", "kind": "expression", "math_text": "-17 * (-765 - (42 - (-7)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -765, \"c\": 42, \"d\": -7}", "seed": "12069332174402756836", "semantic_fingerprint": "sha256:3cdf39aa7b47ba2b610f44fe2a1ef350d2f79f639aa10d908bd167ee43f536a7", "generator_version": "3.0"}
{"id": "v3_val_00005507", "prompt": "What is -14 / (-6) / 306?", "solution_steps": ["Divide: -14 / (-6) = 7/3", "Divide: (7/3) / 306 = 7/918"], "final_answer": "7/918", "answer_type": "rational", "kind": "expression", "math_text": "-14 / (-6) / 306", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": -6, \"c\": 306}", "seed": "15392621286280631260", "semantic_fingerprint": "sha256:74f50e36bd99fd5a37c57a34aaa8663c1cc321fdd8ac10cc06691266f59b91e6", "generator_version": "3.0"}
{"id": "v3_val_00005508", "prompt": "Solve the equation 4(x - 9) - 1 = x for x.", "solution_steps": ["Expand: 4x - 36 - 1 = x", "Combine constants: 4x - 37 = x", "Subtract x from both sides: 3x - 37 = 0", "Add 37 to both sides: 3x = 37", "Divide both sides by 3: x = 37/3"], "final_answer": "37/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 9) - 1 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 1}", "seed": "5416358719523843359", "semantic_fingerprint": "sha256:2e95b398cee747241eaad4463be4347a1eecb53491e2890098580e40c6f7c35a", "generator_version": "3.0"}
{"id": "v3_val_00005509", "prompt": "What is (0 * 12 + 6) / 63?", "solution_steps": ["Multiply: 0 * 12 = 0", "Add: 0 + 6 = 6", "Divide: 6 / 63 = 2/21"], "final_answer": "2/21", "answer_type": "rational", "kind": "expression", "math_text": "(0 * 12 + 6) / 63", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 12, \"c\": 6, \"d\": 63}", "seed": "15725272093021090131", "semantic_fingerprint": "sha256:9066f2d9957365f5976ca3b118ebf333fd7f07e2ef0b0ce8dfe218a7dc10b18e", "generator_version": "3.0"}
{"id": "v3_val_00005510", "prompt": "Evaluate: 492 + 58 + (336 - (-195)) * (-44 - 52)", "solution_steps": ["Add: 492 + 58 = 550", "Subtract: 336 - (-195) = 531", "Subtract: -44 - 52 = -96", "Multiply: 531 * (-96) = -50976", "Add: 550 + (-50976) = -50426"], "final_answer": "-50426", "answer_type": "integer", "kind": "expression", "math_text": "492 + 58 + (336 - (-195)) * (-44 - 52)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 492, \"b\": 58, \"c\": 336, \"d\": -195, \"e\": -44, \"f\": 52}", "seed": "11434409867707903555", "semantic_fingerprint": "sha256:3a71787ebd97a0343c932f635da76effc72d06ae5027fd67ed82cf73359aa7a1", "generator_version": "3.0"}
{"id": "v3_val_00005511", "prompt": "Evaluate: 13 * (-83 / (-1 - (-41)))", "solution_steps": ["Subtract: -1 - (-41) = 40", "Divide: -83 / 40 = -83/40", "Multiply: 13 * (-83/40) = -1079/40"], "final_answer": "-1079/40", "answer_type": "rational", "kind": "expression", "math_text": "13 * (-83 / (-1 - (-41)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -83, \"c\": -1, \"d\": -41}", "seed": "3015486789729547261", "semantic_fingerprint": "sha256:5e2d13953cea6fdc52b67e7266fddee2dcef20d4596349947da5ea62ca6b0bee", "generator_version": "3.0"}
{"id": "v3_val_00005512", "prompt": "Evaluate: 8 + (87 - (-78) - (-479) * 307 - 21)", "solution_steps": ["Subtract: 87 - (-78) = 165", "Multiply: -479 * 307 = -147053", "Subtract: 165 - (-147053) = 147218", "Subtract: 147218 - 21 = 147197", "Add: 8 + 147197 = 147205"], "final_answer": "147205", "answer_type": "integer", "kind": "expression", "math_text": "8 + (87 - (-78) - (-479) * 307 - 21)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (- (- n n) (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 87, \"c\": -78, \"d\": -479, \"e\": 307, \"f\": 21}", "seed": "18335137444502530598", "semantic_fingerprint": "sha256:b64575510be94e2ae9a99846566de99a46e6b98e18c53c4791bfaadaa2e36b5d", "generator_version": "3.0"}
{"id": "v3_val_00005513", "prompt": "Find x: -11x + 85 = x", "solution_steps": ["Subtract x from both sides: -12x + 85 = 0", "Subtract 85 from both sides: -12x = -85", "Divide both sides by -12: x = 85/12"], "final_answer": "85/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x + 85 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 85}", "seed": "168097599234997573", "semantic_fingerprint": "sha256:639b914c6cba8a86e0562f50e3483f532181a1a3704300443d398187542948d7", "generator_version": "3.0"}
{"id": "v3_val_00005514", "prompt": "What value of x satisfies 3x - 5 = 8(x + 64) - 517?", "solution_steps": ["Expand: 3x - 5 = 8x + 512 - 517", "Combine constants: 3x - 5 = 8x - 5", "Subtract 8x from both sides: -5x - 5 = -5", "Add 5 to both sides: -5x = 0", "Divide both sides by -5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 5 = 8(x + 64) - 517", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 8, \"d\": 64, \"f\": -517, \"x\": 0}", "seed": "14744042666481654207", "semantic_fingerprint": "sha256:96c82235ab3ad8ee3ac737ebc7373281a00c8eae5835be2bbd863b640a753a51", "generator_version": "3.0"}
{"id": "v3_val_00005515", "prompt": "What is -87 + (-18)?", "solution_steps": ["Add: -87 + (-18) = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "expression", "math_text": "-87 + (-18)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": -18}", "seed": "14889509882690566470", "semantic_fingerprint": "sha256:2bb287f89d2dd0cae4781ba208f3dc2235a7aef94d6472b350b3a0ed206e9a37", "generator_version": "3.0"}
{"id": "v3_val_00005516", "prompt": "Solve the equation 9(x - 80) + 5 = x + 7 for x.", "solution_steps": ["Expand: 9x - 720 + 5 = x + 7", "Combine constants: 9x - 715 = x + 7", "Subtract x from both sides: 8x - 715 = 7", "Add 715 to both sides: 8x = 722", "Divide both sides by 8: x = 361/4"], "final_answer": "361/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 80) + 5 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 80, \"c\": 5, \"d\": 7}", "seed": "73595407188825882", "semantic_fingerprint": "sha256:4132944eacca0443d6525bc113dcf2123784c74a20a0846decb4cffc33c61471", "generator_version": "3.0"}
{"id": "v3_val_00005517", "prompt": "Compute: -39 + (-7) / 631", "solution_steps": ["Divide: -7 / 631 = -7/631", "Add: -39 + (-7/631) = -24616/631"], "final_answer": "-24616/631", "answer_type": "rational", "kind": "expression", "math_text": "-39 + (-7) / 631", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -7, \"c\": 631}", "seed": "8061680109888264441", "semantic_fingerprint": "sha256:315f671de6e2bd4fda185363bb287544cc94d9af264f98e7f4e94c959dc9e119", "generator_version": "3.0"}
{"id": "v3_val_00005518", "prompt": "What is -1 * (-4 / (-3))?", "solution_steps": ["Divide: -4 / (-3) = 4/3", "Multiply: -1 * (4/3) = -4/3"], "final_answer": "-4/3", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-4 / (-3))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -4, \"c\": -3}", "seed": "8834995602353585039", "semantic_fingerprint": "sha256:ea99048ed757ad87e4ac7fb85f2ff8e42a4eb401a383adbc462f221b5e04c398", "generator_version": "3.0"}
{"id": "v3_val_00005519", "prompt": "Calculate: 38 * (-3 - (-19 + 16) - 670)", "solution_steps": ["Add: -19 + 16 = -3", "Subtract: -3 - (-3) = 0", "Subtract: 0 - 670 = -670", "Multiply: 38 * (-670) = -25460"], "final_answer": "-25460", "answer_type": "integer", "kind": "expression", "math_text": "38 * (-3 - (-19 + 16) - 670)", "variable": null, "family": "expression_4op", "shape": "(* n (- (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -3, \"c\": -19, \"d\": 16, \"e\": 670}", "seed": "1374075354073407265", "semantic_fingerprint": "sha256:3aea4098c11d18c7c291e0caf7e0a9b4597bdb09f23e9c5d7fa10225fa7dbe2d", "generator_version": "3.0"}
{"id": "v3_val_00005520", "prompt": "Evaluate: 57 - 2 + 81", "solution_steps": ["Subtract: 57 - 2 = 55", "Add: 55 + 81 = 136"], "final_answer": "136", "answer_type": "integer", "kind": "expression", "math_text": "57 - 2 + 81", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 2, \"c\": 81}", "seed": "2859036422241741173", "semantic_fingerprint": "sha256:e072e80d9749bc194ad38b87bd7eae9e59491d602029c8917e6c870c1f637ab9", "generator_version": "3.0"}
{"id": "v3_val_00005521", "prompt": "What is -96 * (-63)?", "solution_steps": ["Multiply: -96 * (-63) = 6048"], "final_answer": "6048", "answer_type": "integer", "kind": "expression", "math_text": "-96 * (-63)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -63}", "seed": "9533718580940749530", "semantic_fingerprint": "sha256:83e7a67470749a97030577e49344a9241033c7f2014eeb34cc8916facb53dd19", "generator_version": "3.0"}
{"id": "v3_val_00005522", "prompt": "Compute: -508 / (769 / (-132 + (-749)))", "solution_steps": ["Add: -132 + (-749) = -881", "Divide: 769 / (-881) = -769/881", "Divide: -508 / (-769/881) = 447548/769"], "final_answer": "447548/769", "answer_type": "rational", "kind": "expression", "math_text": "-508 / (769 / (-132 + (-749)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -508, \"b\": 769, \"c\": -132, \"d\": -749}", "seed": "4170401881008317289", "semantic_fingerprint": "sha256:fa820f745ea1f392983efac1e93803d9f6f3128b4ae3f9ab1a94cb66fafb7eb3", "generator_version": "3.0"}
{"id": "v3_val_00005523", "prompt": "Evaluate: 5 / 72 / (-62)", "solution_steps": ["Divide: 5 / 72 = 5/72", "Divide: (5/72) / (-62) = -5/4464"], "final_answer": "-5/4464", "answer_type": "rational", "kind": "expression", "math_text": "5 / 72 / (-62)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 72, \"c\": -62}", "seed": "5522439332925621567", "semantic_fingerprint": "sha256:71b76bd623a458dfd7b578a3394190e92e26a4bacfe64af4681bb2ac3f1574a4", "generator_version": "3.0"}
{"id": "v3_val_00005524", "prompt": "Evaluate: -216 * (-7) + (-5)", "solution_steps": ["Multiply: -216 * (-7) = 1512", "Add: 1512 + (-5) = 1507"], "final_answer": "1507", "answer_type": "integer", "kind": "expression", "math_text": "-216 * (-7) + (-5)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -216, \"b\": -7, \"c\": -5}", "seed": "17270183506809557345", "semantic_fingerprint": "sha256:e351126e686b88ab1da1cc3583cca58c71d833b1485f5b3f5d0e7030ea90cb01", "generator_version": "3.0"}
{"id": "v3_val_00005525", "prompt": "Evaluate: 21 * (-86) - 78 / (72 * (-95 - (-51)))", "solution_steps": ["Multiply: 21 * (-86) = -1806", "Subtract: -95 - (-51) = -44", "Multiply: 72 * (-44) = -3168", "Divide: 78 / (-3168) = -13/528", "Subtract: -1806 - (-13/528) = -953555/528"], "final_answer": "-953555/528", "answer_type": "rational", "kind": "expression", "math_text": "21 * (-86) - 78 / (72 * (-95 - (-51)))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (/ n (* n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -86, \"c\": 78, \"d\": 72, \"e\": -95, \"f\": -51}", "seed": "8503069023219474220", "semantic_fingerprint": "sha256:163ecb705d6f9a85593747b534fe760a25d93dd2fb3030a7fb16e9291b66f51d", "generator_version": "3.0"}
{"id": "v3_val_00005526", "prompt": "Solve for x: -5(x + 701) + 34 = 12(x - 85)", "solution_steps": ["Expand: -5x - 3505 + 34 = 12(x - 85)", "Expand: -5x - 3505 + 34 = 12x - 1020", "Combine constants: -5x - 3471 = 12x - 1020", "Subtract 12x from both sides: -17x - 3471 = -1020", "Add 3471 to both sides: -17x = 2451", "Divide both sides by -17: x = -2451/17"], "final_answer": "-2451/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 701) + 34 = 12(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\": 701, \"c\": 34, \"d\": 12, \"e\": 85}", "seed": "14843316948340959925", "semantic_fingerprint": "sha256:cee72214bc03ca85d19a10fcc34286f0f4ce2b1d78ac4eaf14a3a7acca212c71", "generator_version": "3.0"}
{"id": "v3_val_00005527", "prompt": "Find x: x - 7 = 4(x - 196) - 162", "solution_steps": ["Expand: x - 7 = 4x - 784 - 162", "Combine constants: x - 7 = 4x - 946", "Subtract 4x from both sides: -3x - 7 = -946", "Add 7 to both sides: -3x = -939", "Divide both sides by -3: x = 313"], "final_answer": "313", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = 4(x - 196) - 162", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 196, \"d\": 162}", "seed": "15340247716099158843", "semantic_fingerprint": "sha256:e777a051e1ca3b48ab93d244e2a03a7ccc41e2708199c91575561054056e58f8", "generator_version": "3.0"}
{"id": "v3_val_00005528", "prompt": "Solve the equation -10(x + 3) - 90 = 10(x - 1) + 918 for x.", "solution_steps": ["Expand: -10x - 30 - 90 = 10(x - 1) + 918", "Expand: -10x - 30 - 90 = 10x - 10 + 918", "Combine constants: -10x - 120 = 10x - 10 + 918", "Combine constants: -10x - 120 = 10x + 908", "Subtract 10x from both sides: -20x - 120 = 908", "Add 120 to both sides: -20x = 1028", "Divide both sides by -20: x = -257/5"], "final_answer": "-257/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 3) - 90 = 10(x - 1) + 918", "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\": 90, \"d\": 10, \"e\": 1, \"f\": 918}", "seed": "2160319659048892380", "semantic_fingerprint": "sha256:f352a73f7e1fae061b877ba7438e2a9e2923c0beb13006864d3cd77c3e681b35", "generator_version": "3.0"}
{"id": "v3_val_00005529", "prompt": "What is 8 * (-200 + (-30))?", "solution_steps": ["Add: -200 + (-30) = -230", "Multiply: 8 * (-230) = -1840"], "final_answer": "-1840", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-200 + (-30))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -200, \"c\": -30}", "seed": "11811835811595663521", "semantic_fingerprint": "sha256:545c22bd272321d39d78a9d6e7190d6ab1dc19254f1e76df3ab547fb34e846af", "generator_version": "3.0"}
{"id": "v3_val_00005530", "prompt": "Evaluate: -80 - 84", "solution_steps": ["Subtract: -80 - 84 = -164"], "final_answer": "-164", "answer_type": "integer", "kind": "expression", "math_text": "-80 - 84", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 84}", "seed": "2003466803331338643", "semantic_fingerprint": "sha256:b1665105b4304df4f1f618d58c2e0aeb04ffc74357bb6d293207c967096270f1", "generator_version": "3.0"}
{"id": "v3_val_00005531", "prompt": "Calculate: (-908 * 10 - 9) / (206 - (-92))", "solution_steps": ["Multiply: -908 * 10 = -9080", "Subtract: -9080 - 9 = -9089", "Subtract: 206 - (-92) = 298", "Divide: -9089 / 298 = -61/2"], "final_answer": "-61/2", "answer_type": "rational", "kind": "expression", "math_text": "(-908 * 10 - 9) / (206 - (-92))", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -908, \"b\": 10, \"c\": 9, \"d\": 206, \"e\": -92}", "seed": "6369513454847326520", "semantic_fingerprint": "sha256:6be4d594596f760e1d3a7bc4c35f1b7687e20e74dab9892763471f8a6a0acac3", "generator_version": "3.0"}
{"id": "v3_val_00005532", "prompt": "What is -77 * (-5 / (-17)) / 3?", "solution_steps": ["Divide: -5 / (-17) = 5/17", "Multiply: -77 * (5/17) = -385/17", "Divide: (-385/17) / 3 = -385/51"], "final_answer": "-385/51", "answer_type": "rational", "kind": "expression", "math_text": "-77 * (-5 / (-17)) / 3", "variable": null, "family": "expression_3op", "shape": "(/ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -5, \"c\": -17, \"d\": 3}", "seed": "15441096767331879268", "semantic_fingerprint": "sha256:743acf4223770ee49bd0b2f9e089736891857021cdb3260fbdf0ecbc4db76c77", "generator_version": "3.0"}
{"id": "v3_val_00005533", "prompt": "What value of x satisfies x + 551 = 6(x + 3) + 483?", "solution_steps": ["Expand: x + 551 = 6x + 18 + 483", "Combine constants: x + 551 = 6x + 501", "Subtract 6x from both sides: -5x + 551 = 501", "Subtract 551 from both sides: -5x = -50", "Divide both sides by -5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 551 = 6(x + 3) + 483", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 551, \"b\": 6, \"c\": 3, \"e\": 483, \"x\": 10}", "seed": "836158952256179716", "semantic_fingerprint": "sha256:16c3ec51044b5a6c48ad621881cff826a8f6bcd0372f6eb6b9a73ab03a31424a", "generator_version": "3.0"}
{"id": "v3_val_00005534", "prompt": "Solve the equation -9(x - 9) = 7(x - 3) + 757 for x.", "solution_steps": ["Expand: -9x + 81 = 7(x - 3) + 757", "Expand: -9x + 81 = 7x - 21 + 757", "Combine constants: -9x + 81 = 7x + 736", "Subtract 7x from both sides: -16x + 81 = 736", "Subtract 81 from both sides: -16x = 655", "Divide both sides by -16: x = -655/16"], "final_answer": "-655/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 9) = 7(x - 3) + 757", "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\": 7, \"d\": 3, \"e\": 757}", "seed": "14594102625459834515", "semantic_fingerprint": "sha256:ac383efe757b54d093975dcbec83bf379606a9d08930794466345335dd3d8ec6", "generator_version": "3.0"}
{"id": "v3_val_00005535", "prompt": "Evaluate: 998 / (-5 - 74)", "solution_steps": ["Subtract: -5 - 74 = -79", "Divide: 998 / (-79) = -998/79"], "final_answer": "-998/79", "answer_type": "rational", "kind": "expression", "math_text": "998 / (-5 - 74)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 998, \"b\": -5, \"c\": 74}", "seed": "13392199839993058255", "semantic_fingerprint": "sha256:e604fbea861fb8a813a7ee7dc84399cd28be9cb2d6c843e58934c4dcad7e16cb", "generator_version": "3.0"}
{"id": "v3_val_00005536", "prompt": "What value of x satisfies 8x - 2 = 6?", "solution_steps": ["Add 2 to both sides: 8x = 8", "Divide both sides by 8: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 2 = 6", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 6}", "seed": "4683357241300474488", "semantic_fingerprint": "sha256:bf0fd3c3407b6cc7be0bc3b481eb312ba84493d228980c95c4d6fd0556ad1f9b", "generator_version": "3.0"}
{"id": "v3_val_00005537", "prompt": "Solve the equation 10x + 9 = -9x for x.", "solution_steps": ["Add 9x to both sides: 19x + 9 = 0", "Subtract 9 from both sides: 19x = -9", "Divide both sides by 19: x = -9/19"], "final_answer": "-9/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x + 9 = -9x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": -9}", "seed": "12480170858618388187", "semantic_fingerprint": "sha256:c8bea06fbd90ce47930e48e903e5af98b89254b01bc1f304c843d2e8cd6ecd8a", "generator_version": "3.0"}
{"id": "v3_val_00005538", "prompt": "What is 9 * (71 - 779 * 2)?", "solution_steps": ["Multiply: 779 * 2 = 1558", "Subtract: 71 - 1558 = -1487", "Multiply: 9 * (-1487) = -13383"], "final_answer": "-13383", "answer_type": "integer", "kind": "expression", "math_text": "9 * (71 - 779 * 2)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 71, \"c\": 779, \"d\": 2}", "seed": "1797648980988860286", "semantic_fingerprint": "sha256:3aa956c4887a8f2724f243751fddf4ba70e480b24ffe9a63f9d1992f6e75b68c", "generator_version": "3.0"}
{"id": "v3_val_00005539", "prompt": "Evaluate: 92 + 805 - (-566)", "solution_steps": ["Add: 92 + 805 = 897", "Subtract: 897 - (-566) = 1463"], "final_answer": "1463", "answer_type": "integer", "kind": "expression", "math_text": "92 + 805 - (-566)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 805, \"c\": -566}", "seed": "8509629237038774180", "semantic_fingerprint": "sha256:3e3777fbc49a4bc153612b5b0f238b371fe9a02d49d2e99e02526516b00f7971", "generator_version": "3.0"}
{"id": "v3_val_00005540", "prompt": "Evaluate: -1 / (72 * 5)", "solution_steps": ["Multiply: 72 * 5 = 360", "Divide: -1 / 360 = -1/360"], "final_answer": "-1/360", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (72 * 5)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 72, \"c\": 5}", "seed": "2281132230314128981", "semantic_fingerprint": "sha256:b6bbc793b11a3df97907a96781dad8c6cfa240c585e44befbbae095faa79797c", "generator_version": "3.0"}
{"id": "v3_val_00005541", "prompt": "What is 8 * (4 + 1) * (-16 - (-645))?", "solution_steps": ["Add: 4 + 1 = 5", "Multiply: 8 * 5 = 40", "Subtract: -16 - (-645) = 629", "Multiply: 40 * 629 = 25160"], "final_answer": "25160", "answer_type": "integer", "kind": "expression", "math_text": "8 * (4 + 1) * (-16 - (-645))", "variable": null, "family": "expression_4op", "shape": "(* (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 1, \"d\": -16, \"e\": -645}", "seed": "2778113527985279943", "semantic_fingerprint": "sha256:7ca06d0faf0dbb1b12bdeae4880a4ee0304399b28baa7306df4f35c03b9ce94f", "generator_version": "3.0"}
{"id": "v3_val_00005542", "prompt": "Solve the equation -11(x - 53) = -3(x - 63) - 1 for x.", "solution_steps": ["Expand: -11x + 583 = -3(x - 63) - 1", "Expand: -11x + 583 = -3x + 189 - 1", "Combine constants: -11x + 583 = -3x + 188", "Add 3x to both sides: -8x + 583 = 188", "Subtract 583 from both sides: -8x = -395", "Divide both sides by -8: x = 395/8"], "final_answer": "395/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 53) = -3(x - 63) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 53, \"c\": -3, \"d\": 63, \"e\": 1}", "seed": "3117433126458502227", "semantic_fingerprint": "sha256:261b08bb1c8e6d5f2d4297778a2227836f57644331136d4844e7abc3d5ded4d4", "generator_version": "3.0"}
{"id": "v3_val_00005543", "prompt": "What is -2 - (-3) / 932?", "solution_steps": ["Divide: -3 / 932 = -3/932", "Subtract: -2 - (-3/932) = -1861/932"], "final_answer": "-1861/932", "answer_type": "rational", "kind": "expression", "math_text": "-2 - (-3) / 932", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -3, \"c\": 932}", "seed": "7970177669096312957", "semantic_fingerprint": "sha256:b18a8868bd555d66cbcb09969077350159dd478493f0de7193bbbedbe8132c29", "generator_version": "3.0"}
{"id": "v3_val_00005544", "prompt": "Find x: 9(x + 2) = 2(x + 2) - 42", "solution_steps": ["Expand: 9x + 18 = 2(x + 2) - 42", "Expand: 9x + 18 = 2x + 4 - 42", "Combine constants: 9x + 18 = 2x - 38", "Subtract 2x from both sides: 7x + 18 = -38", "Subtract 18 from both sides: 7x = -56", "Divide both sides by 7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 2) = 2(x + 2) - 42", "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\": 2, \"d\": 2, \"f\": -42, \"x\": -8}", "seed": "14190123256805949792", "semantic_fingerprint": "sha256:5311a8db10b1aa069998c5c91d5e715b046df113f581a27e4bde98dd94e4e62e", "generator_version": "3.0"}
{"id": "v3_val_00005545", "prompt": "What is -356 * (-650) + (-8)?", "solution_steps": ["Multiply: -356 * (-650) = 231400", "Add: 231400 + (-8) = 231392"], "final_answer": "231392", "answer_type": "integer", "kind": "expression", "math_text": "-356 * (-650) + (-8)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -356, \"b\": -650, \"c\": -8}", "seed": "14127508609652024796", "semantic_fingerprint": "sha256:3641010b595cdae7c1c11e013217d1914e00e4e660b5e72ba4088eb258404625", "generator_version": "3.0"}
{"id": "v3_val_00005546", "prompt": "Solve for x: x + 36 = 11(x - 5) + 17", "solution_steps": ["Expand: x + 36 = 11x - 55 + 17", "Combine constants: x + 36 = 11x - 38", "Subtract 11x from both sides: -10x + 36 = -38", "Subtract 36 from both sides: -10x = -74", "Divide both sides by -10: x = 37/5"], "final_answer": "37/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 36 = 11(x - 5) + 17", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 11, \"c\": 5, \"d\": 17}", "seed": "10709060195202920813", "semantic_fingerprint": "sha256:7611b6e0b7d8ebfe3ec8b591fc362294f6ed5ef92fc580801b4557e9d9bcc839", "generator_version": "3.0"}
{"id": "v3_val_00005547", "prompt": "What value of x satisfies x - 78 = -4x + 79?", "solution_steps": ["Add 4x to both sides: 5x - 78 = 79", "Add 78 to both sides: 5x = 157", "Divide both sides by 5: x = 157/5"], "final_answer": "157/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 78 = -4x + 79", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -4, \"c\": 79}", "seed": "6252456348318137121", "semantic_fingerprint": "sha256:6fa8b15bcef7d45e757d927bc543ac400b56ca8008def51eb4daea8f5cb4f603", "generator_version": "3.0"}
{"id": "v3_val_00005548", "prompt": "What is -429 - (6 + (-703)) * (0 + (-6))?", "solution_steps": ["Add: 6 + (-703) = -697", "Add: 0 + (-6) = -6", "Multiply: -697 * (-6) = 4182", "Subtract: -429 - 4182 = -4611"], "final_answer": "-4611", "answer_type": "integer", "kind": "expression", "math_text": "-429 - (6 + (-703)) * (0 + (-6))", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -429, \"b\": 6, \"c\": -703, \"d\": 0, \"e\": -6}", "seed": "6954342612984232033", "semantic_fingerprint": "sha256:4686626911ad6ab449ab70ecd364f38a6de31449cc5a76b2904d7b173d13828e", "generator_version": "3.0"}
{"id": "v3_val_00005549", "prompt": "What is 4 * (-730 / 63)?", "solution_steps": ["Divide: -730 / 63 = -730/63", "Multiply: 4 * (-730/63) = -2920/63"], "final_answer": "-2920/63", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-730 / 63)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -730, \"c\": 63}", "seed": "3655933419668518647", "semantic_fingerprint": "sha256:8c1e07aa2a9cbe2fd6d6cc431d3c62cfce521d491578960d5f2c78be198be621", "generator_version": "3.0"}
{"id": "v3_val_00005550", "prompt": "Calculate: -58 / 5 * 333 * (14 / 7)", "solution_steps": ["Divide: -58 / 5 = -58/5", "Multiply: (-58/5) * 333 = -19314/5", "Divide: 14 / 7 = 2", "Multiply: (-19314/5) * 2 = -38628/5"], "final_answer": "-38628/5", "answer_type": "rational", "kind": "expression", "math_text": "-58 / 5 * 333 * (14 / 7)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 5, \"c\": 333, \"d\": 14, \"e\": 7}", "seed": "6767945241564575502", "semantic_fingerprint": "sha256:d04c8d35075733755d28a0cdba63a392adea19e7d694ee910ad5158fd7f03cc0", "generator_version": "3.0"}
{"id": "v3_val_00005551", "prompt": "Compute: 72 + (2 - (-93)) - (-85 + (-279))", "solution_steps": ["Subtract: 2 - (-93) = 95", "Add: 72 + 95 = 167", "Add: -85 + (-279) = -364", "Subtract: 167 - (-364) = 531"], "final_answer": "531", "answer_type": "integer", "kind": "expression", "math_text": "72 + (2 - (-93)) - (-85 + (-279))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 2, \"c\": -93, \"d\": -85, \"e\": -279}", "seed": "16515264851448828468", "semantic_fingerprint": "sha256:46ba0bda6094f23f9135d40e6d484bfa9b64122baa703823e42a14c1238f9c6a", "generator_version": "3.0"}
{"id": "v3_val_00005552", "prompt": "What is 2 / (-5) / (-4) - (-177) * (-3) * 15?", "solution_steps": ["Divide: 2 / (-5) = -2/5", "Divide: (-2/5) / (-4) = 1/10", "Multiply: -177 * (-3) = 531", "Multiply: 531 * 15 = 7965", "Subtract: 1/10 - 7965 = -79649/10"], "final_answer": "-79649/10", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-5) / (-4) - (-177) * (-3) * 15", "variable": null, "family": "expression_5op", "shape": "(- (/ (/ n n) n) (* (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -5, \"c\": -4, \"d\": -177, \"e\": -3, \"f\": 15}", "seed": "1442364350770455230", "semantic_fingerprint": "sha256:ba31035ac838115251a3ad14f9b471900dabcf3cc5d91e6aed7277ed86dd5dcc", "generator_version": "3.0"}
{"id": "v3_val_00005553", "prompt": "Calculate: 9 / 9 + 2 / (-8) / (-3)", "solution_steps": ["Divide: 9 / 9 = 1", "Divide: 2 / (-8) = -1/4", "Divide: (-1/4) / (-3) = 1/12", "Add: 1 + 1/12 = 13/12"], "final_answer": "13/12", "answer_type": "rational", "kind": "expression", "math_text": "9 / 9 + 2 / (-8) / (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 2, \"d\": -8, \"e\": -3}", "seed": "11920971279021562334", "semantic_fingerprint": "sha256:f0e611e24e27634172ed40251ada366e052892a934572db162a8654ffb8b6dd1", "generator_version": "3.0"}
{"id": "v3_val_00005554", "prompt": "Compute: -454 - 58", "solution_steps": ["Subtract: -454 - 58 = -512"], "final_answer": "-512", "answer_type": "integer", "kind": "expression", "math_text": "-454 - 58", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -454, \"b\": 58}", "seed": "11954909397811635684", "semantic_fingerprint": "sha256:e3f1513db0ecf4e7676bac109ac4626a79374f3fb0b234a2c340963e2c9fa509", "generator_version": "3.0"}
{"id": "v3_val_00005555", "prompt": "What value of x satisfies -12x + 328 = 11(x + 96) - 1?", "solution_steps": ["Expand: -12x + 328 = 11x + 1056 - 1", "Combine constants: -12x + 328 = 11x + 1055", "Subtract 11x from both sides: -23x + 328 = 1055", "Subtract 328 from both sides: -23x = 727", "Divide both sides by -23: x = -727/23"], "final_answer": "-727/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x + 328 = 11(x + 96) - 1", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 328, \"c\": 11, \"d\": 96, \"e\": 1}", "seed": "13322160686465698475", "semantic_fingerprint": "sha256:777b7ef3ed3a3a8b20697b0f178fe14aabfc0d0d882cd0edac2e1e2f00f212ac", "generator_version": "3.0"}
{"id": "v3_val_00005556", "prompt": "What is 65 + (-194 - 3)?", "solution_steps": ["Subtract: -194 - 3 = -197", "Add: 65 + (-197) = -132"], "final_answer": "-132", "answer_type": "integer", "kind": "expression", "math_text": "65 + (-194 - 3)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -194, \"c\": 3}", "seed": "17806049613409496324", "semantic_fingerprint": "sha256:bad3931ef249b4b940bd05b351253463dfb17aa0e0fe4d174c7045dd64ab9a00", "generator_version": "3.0"}
{"id": "v3_val_00005557", "prompt": "Solve for x: 11x - 1 = 3x", "solution_steps": ["Subtract 3x from both sides: 8x - 1 = 0", "Add 1 to both sides: 8x = 1", "Divide both sides by 8: x = 1/8"], "final_answer": "1/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 1 = 3x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 3}", "seed": "9830391387794632676", "semantic_fingerprint": "sha256:c62047936e2e0ed3006b2b5f338e86fe94eb71fb2523a9e7a4dd2837b1ea272a", "generator_version": "3.0"}
{"id": "v3_val_00005558", "prompt": "What is -474 / ((-117 + (-463)) / 461)?", "solution_steps": ["Add: -117 + (-463) = -580", "Divide: -580 / 461 = -580/461", "Divide: -474 / (-580/461) = 109257/290"], "final_answer": "109257/290", "answer_type": "rational", "kind": "expression", "math_text": "-474 / ((-117 + (-463)) / 461)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -474, \"b\": -117, \"c\": -463, \"d\": 461}", "seed": "5629557532238453519", "semantic_fingerprint": "sha256:e2992d2a7c8c2cc77b0f436694570b16b120ed1aadac94c3bd27f2a61ebb325d", "generator_version": "3.0"}
{"id": "v3_val_00005559", "prompt": "Compute: 77 + (-99)", "solution_steps": ["Add: 77 + (-99) = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "77 + (-99)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -99}", "seed": "5171129131785529920", "semantic_fingerprint": "sha256:5a66709fae38b7d4474a1959d6c07a469444fa6c059043ebb34b0c33e79e2115", "generator_version": "3.0"}
{"id": "v3_val_00005560", "prompt": "Evaluate: -37 - (-6)", "solution_steps": ["Subtract: -37 - (-6) = -31"], "final_answer": "-31", "answer_type": "integer", "kind": "expression", "math_text": "-37 - (-6)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -6}", "seed": "15187344427037156805", "semantic_fingerprint": "sha256:b53a42151829f9ab69080e97f19bf018643d7127f60ca87b9831bd8e012a2f8e", "generator_version": "3.0"}
{"id": "v3_val_00005561", "prompt": "Solve the equation 3x - 25 = x - 43 for x.", "solution_steps": ["Subtract x from both sides: 2x - 25 = -43", "Add 25 to both sides: 2x = -18", "Divide both sides by 2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 25 = x - 43", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 25, \"c\": 43}", "seed": "218189001589013433", "semantic_fingerprint": "sha256:30bd3fe1dde98c72f9fbffa89f2cf06cdadb390d5c7fe22de267af5f5a8ea212", "generator_version": "3.0"}
{"id": "v3_val_00005562", "prompt": "Calculate: -918 / (-70) + 10 * (-469)", "solution_steps": ["Divide: -918 / (-70) = 459/35", "Multiply: 10 * (-469) = -4690", "Add: 459/35 + (-4690) = -163691/35"], "final_answer": "-163691/35", "answer_type": "rational", "kind": "expression", "math_text": "-918 / (-70) + 10 * (-469)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -918, \"b\": -70, \"c\": 10, \"d\": -469}", "seed": "16694910682382929531", "semantic_fingerprint": "sha256:63e60b1e9a24907d2314f013912b5791208e44482642131eb38dafe24f5c9b8d", "generator_version": "3.0"}
{"id": "v3_val_00005563", "prompt": "Solve the equation x = -4(x + 177) for x.", "solution_steps": ["Expand: x = -4x - 708", "Add 4x to both sides: 5x = -708", "Divide both sides by 5: x = -708/5"], "final_answer": "-708/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -4(x + 177)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 177}", "seed": "2453168782148720904", "semantic_fingerprint": "sha256:19cab43f2fab9c1cd6961b291dd1eb028580b010d84b4385a2470b9b3bec62c8", "generator_version": "3.0"}
{"id": "v3_val_00005564", "prompt": "What is 37 * (-29)?", "solution_steps": ["Multiply: 37 * (-29) = -1073"], "final_answer": "-1073", "answer_type": "integer", "kind": "expression", "math_text": "37 * (-29)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -29}", "seed": "4854785822802740672", "semantic_fingerprint": "sha256:1b67dadf2112f5aadecba0d5efd6a605e9bb8459f758c42525bfb4cf7a44de5c", "generator_version": "3.0"}
{"id": "v3_val_00005565", "prompt": "Calculate: (6 - (-5)) / (-3) / (-50)", "solution_steps": ["Subtract: 6 - (-5) = 11", "Divide: 11 / (-3) = -11/3", "Divide: (-11/3) / (-50) = 11/150"], "final_answer": "11/150", "answer_type": "rational", "kind": "expression", "math_text": "(6 - (-5)) / (-3) / (-50)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -5, \"c\": -3, \"d\": -50}", "seed": "14068247329822541897", "semantic_fingerprint": "sha256:1dae76f97f9863fa00fdd9d61130e0fff3c802a22ae719687072e7a77b464d9e", "generator_version": "3.0"}
{"id": "v3_val_00005566", "prompt": "What value of x satisfies 5(x + 38) - 187 = 2x?", "solution_steps": ["Expand: 5x + 190 - 187 = 2x", "Combine constants: 5x + 3 = 2x", "Subtract 2x from both sides: 3x + 3 = 0", "Subtract 3 from both sides: 3x = -3", "Divide both sides by 3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 38) - 187 = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 38, \"c\": 2, \"e\": -187, \"x\": -1}", "seed": "11897907815239384014", "semantic_fingerprint": "sha256:6e8d4fadc2b4d09a7407e23e038301084564edc5b431fa1ec00db13386ad6916", "generator_version": "3.0"}
{"id": "v3_val_00005567", "prompt": "What value of x satisfies 6x = x - 45?", "solution_steps": ["Subtract x from both sides: 5x = -45", "Divide both sides by 5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = x - 45", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": -45, \"x\": -9}", "seed": "2926909542923560224", "semantic_fingerprint": "sha256:c607c4c8b931cf430987385ff78946882cbd277230458cfe12ccda87ca466fad", "generator_version": "3.0"}
{"id": "v3_val_00005568", "prompt": "Evaluate: -7 * (6 + (-5))", "solution_steps": ["Add: 6 + (-5) = 1", "Multiply: -7 * 1 = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (6 + (-5))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": -5}", "seed": "2375013002995861384", "semantic_fingerprint": "sha256:912d5e9267af5beec08c57eea63eb309cbe2e3f86a3518c5ded41a59192cd5f2", "generator_version": "3.0"}
{"id": "v3_val_00005569", "prompt": "Calculate: 5 * (-1) - (-9 / (-9) + 8)", "solution_steps": ["Multiply: 5 * (-1) = -5", "Divide: -9 / (-9) = 1", "Add: 1 + 8 = 9", "Subtract: -5 - 9 = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-1) - (-9 / (-9) + 8)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -1, \"c\": -9, \"d\": -9, \"e\": 8}", "seed": "3398762129271701408", "semantic_fingerprint": "sha256:bab132f1884c0bdd8391096f383be855084418c3c3cf9348a314f5b861a5dcdb", "generator_version": "3.0"}
{"id": "v3_val_00005570", "prompt": "Solve the equation x - 63 = 3(x + 4) - 278 for x.", "solution_steps": ["Expand: x - 63 = 3x + 12 - 278", "Combine constants: x - 63 = 3x - 266", "Subtract 3x from both sides: -2x - 63 = -266", "Add 63 to both sides: -2x = -203", "Divide both sides by -2: x = 203/2"], "final_answer": "203/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 63 = 3(x + 4) - 278", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 3, \"c\": 4, \"d\": 278}", "seed": "10467611646055029067", "semantic_fingerprint": "sha256:3627de97a908b7de9bab89275bd600c5ddf87f1cbe1a9d844abc33bb62683fca", "generator_version": "3.0"}
{"id": "v3_val_00005571", "prompt": "Find x: 9x = 5x + 3", "solution_steps": ["Subtract 5x from both sides: 4x = 3", "Divide both sides by 4: x = 3/4"], "final_answer": "3/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = 5x + 3", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 3}", "seed": "882065773841679401", "semantic_fingerprint": "sha256:f058cef4b8d956c5d674f69205114a6e4be5edd4c51611fe6dbe93cbd11e65da", "generator_version": "3.0"}
{"id": "v3_val_00005572", "prompt": "Solve for x: 7x + 214 = -7(x + 550) - 9", "solution_steps": ["Expand: 7x + 214 = -7x - 3850 - 9", "Combine constants: 7x + 214 = -7x - 3859", "Add 7x to both sides: 14x + 214 = -3859", "Subtract 214 from both sides: 14x = -4073", "Divide both sides by 14: x = -4073/14"], "final_answer": "-4073/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 214 = -7(x + 550) - 9", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 214, \"c\": -7, \"d\": 550, \"e\": 9}", "seed": "8732432809925852022", "semantic_fingerprint": "sha256:01c79c2b9c28ce7045aa9e9803045ef7231c5eeab1115487452db91dea578175", "generator_version": "3.0"}
{"id": "v3_val_00005573", "prompt": "What is 65 * 220?", "solution_steps": ["Multiply: 65 * 220 = 14300"], "final_answer": "14300", "answer_type": "integer", "kind": "expression", "math_text": "65 * 220", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 220}", "seed": "8382867610160421414", "semantic_fingerprint": "sha256:d6539f553e7812e4fa4b780af460eb73c55d5ca0f8ab0320cb2e4255ff58b5b4", "generator_version": "3.0"}
{"id": "v3_val_00005574", "prompt": "Solve for x: x = 5(x + 80)", "solution_steps": ["Expand: x = 5x + 400", "Subtract 5x from both sides: -4x = 400", "Divide both sides by -4: x = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 5(x + 80)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 80}", "seed": "3632611134790985081", "semantic_fingerprint": "sha256:a63d94416954c7de6dc41b94290f62b35f696f66ccb99875d4edce3e6a324da3", "generator_version": "3.0"}
{"id": "v3_val_00005575", "prompt": "Solve for x: -11(x - 27) - 57 = x", "solution_steps": ["Expand: -11x + 297 - 57 = x", "Combine constants: -11x + 240 = x", "Subtract x from both sides: -12x + 240 = 0", "Subtract 240 from both sides: -12x = -240", "Divide both sides by -12: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 27) - 57 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 27, \"d\": -57, \"x\": 20}", "seed": "8002362419068487470", "semantic_fingerprint": "sha256:93b60b1cd775308affbd4d81a8184c3a4fa72cc7024b062a9150e65ec2bbffdf", "generator_version": "3.0"}
{"id": "v3_val_00005576", "prompt": "Compute: -5 + (-65) + 22", "solution_steps": ["Add: -5 + (-65) = -70", "Add: -70 + 22 = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-65) + 22", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -65, \"c\": 22}", "seed": "11419837141345300230", "semantic_fingerprint": "sha256:fce16a48b8bd40b473e8919304ab8ef0d41f3a310e50232383201494b3d2353d", "generator_version": "3.0"}
{"id": "v3_val_00005577", "prompt": "Calculate: (50 - (-245)) / (78 + (-5))", "solution_steps": ["Subtract: 50 - (-245) = 295", "Add: 78 + (-5) = 73", "Divide: 295 / 73 = 295/73"], "final_answer": "295/73", "answer_type": "rational", "kind": "expression", "math_text": "(50 - (-245)) / (78 + (-5))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -245, \"c\": 78, \"d\": -5}", "seed": "6550456749193904961", "semantic_fingerprint": "sha256:9263a2a98f951a3dc87428a964e805eef48422cbe4cd0f34c4bb1550382fea7d", "generator_version": "3.0"}
{"id": "v3_val_00005578", "prompt": "Evaluate: 86 * (-399) / (52 / 34 - (-391 - 58))", "solution_steps": ["Multiply: 86 * (-399) = -34314", "Divide: 52 / 34 = 26/17", "Subtract: -391 - 58 = -449", "Subtract: 26/17 - (-449) = 7659/17", "Divide: -34314 / (7659/17) = -194446/2553"], "final_answer": "-194446/2553", "answer_type": "rational", "kind": "expression", "math_text": "86 * (-399) / (52 / 34 - (-391 - 58))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (- (/ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -399, \"c\": 52, \"d\": 34, \"e\": -391, \"f\": 58}", "seed": "5331820780556839953", "semantic_fingerprint": "sha256:1457e1a338e106ec8f6d1bb6f189241bcae20d30739491e5ec95e4895506d166", "generator_version": "3.0"}
{"id": "v3_val_00005579", "prompt": "What is -6 + (-2) - (-3) / (-40)?", "solution_steps": ["Add: -6 + (-2) = -8", "Divide: -3 / (-40) = 3/40", "Subtract: -8 - 3/40 = -323/40"], "final_answer": "-323/40", "answer_type": "rational", "kind": "expression", "math_text": "-6 + (-2) - (-3) / (-40)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -2, \"c\": -3, \"d\": -40}", "seed": "1216416096925876053", "semantic_fingerprint": "sha256:b2b5dd79260d41489ad26dc18143153f49d4e7b08ea97f8b6e7c91d77b3d5350", "generator_version": "3.0"}
{"id": "v3_val_00005580", "prompt": "Calculate: 4 + 932", "solution_steps": ["Add: 4 + 932 = 936"], "final_answer": "936", "answer_type": "integer", "kind": "expression", "math_text": "4 + 932", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 932}", "seed": "3995144629492727552", "semantic_fingerprint": "sha256:43862657583d695e9a44e4354aca7e1a728fd2aa92ffca66208890faa55b4339", "generator_version": "3.0"}
{"id": "v3_val_00005581", "prompt": "What value of x satisfies 2x + 90 = -7x?", "solution_steps": ["Add 7x to 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": "2x + 90 = -7x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -7, \"d\": 90, \"x\": -10}", "seed": "5584903741450377095", "semantic_fingerprint": "sha256:ea68b6c027863616e64b5dc9851e6e49de5ba55413fd668762bdde8e72003dd3", "generator_version": "3.0"}
{"id": "v3_val_00005582", "prompt": "Solve for x: 8(x - 19) - 11 = 9x - 146", "solution_steps": ["Expand: 8x - 152 - 11 = 9x - 146", "Combine constants: 8x - 163 = 9x - 146", "Subtract 9x from both sides: -x - 163 = -146", "Add 163 to both sides: -x = 17", "Divide both sides by -1: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 19) - 11 = 9x - 146", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 19, \"c\": 11, \"d\": 9, \"f\": -146, \"x\": -17}", "seed": "13639390335511576067", "semantic_fingerprint": "sha256:a9a1799d758bdea6b710cb1cc84ca12e12872af6c4c80beb37dee77d26ada369", "generator_version": "3.0"}
{"id": "v3_val_00005583", "prompt": "What is -511 - (-33 + (-39)) - (32 + 5) / (-21)?", "solution_steps": ["Add: -33 + (-39) = -72", "Subtract: -511 - (-72) = -439", "Add: 32 + 5 = 37", "Divide: 37 / (-21) = -37/21", "Subtract: -439 - (-37/21) = -9182/21"], "final_answer": "-9182/21", "answer_type": "rational", "kind": "expression", "math_text": "-511 - (-33 + (-39)) - (32 + 5) / (-21)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -511, \"b\": -33, \"c\": -39, \"d\": 32, \"e\": 5, \"f\": -21}", "seed": "11306225122775593937", "semantic_fingerprint": "sha256:5258c467b3e1b09231805c306dd3981ddecbdf74821c79d12aa28927f13e3139", "generator_version": "3.0"}
{"id": "v3_val_00005584", "prompt": "Find x: 5x - 3 = x + 17", "solution_steps": ["Subtract x from both sides: 4x - 3 = 17", "Add 3 to both sides: 4x = 20", "Divide both sides by 4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 3 = x + 17", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"d\": 17, \"x\": 5}", "seed": "14068157199256115822", "semantic_fingerprint": "sha256:2067b624ce3ac5253ef27838b3b7f0d7cd19a9dbb88b8d9011e18784644c83bc", "generator_version": "3.0"}
{"id": "v3_val_00005585", "prompt": "What value of x satisfies 5x - 72 = 10(x + 59)?", "solution_steps": ["Expand: 5x - 72 = 10x + 590", "Subtract 10x from both sides: -5x - 72 = 590", "Add 72 to both sides: -5x = 662", "Divide both sides by -5: x = -662/5"], "final_answer": "-662/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 72 = 10(x + 59)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 72, \"c\": 10, \"d\": 59}", "seed": "14987706664933822803", "semantic_fingerprint": "sha256:27c057fb4d652ec8211da94d31bba3c1583fe85260030f8921849c0c949155b9", "generator_version": "3.0"}
{"id": "v3_val_00005586", "prompt": "Compute: -96 / (8 / (-103 - 357))", "solution_steps": ["Subtract: -103 - 357 = -460", "Divide: 8 / (-460) = -2/115", "Divide: -96 / (-2/115) = 5520"], "final_answer": "5520", "answer_type": "integer", "kind": "expression", "math_text": "-96 / (8 / (-103 - 357))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 8, \"c\": -103, \"d\": 357}", "seed": "14112652645635752748", "semantic_fingerprint": "sha256:e1dc54143e75a8f9b13c5ba21b9073870f3155bbac4c2a60aeb44592b25b5ed5", "generator_version": "3.0"}
{"id": "v3_val_00005587", "prompt": "Solve the equation 10(x - 4) + 81 = x - 103 for x.", "solution_steps": ["Expand: 10x - 40 + 81 = x - 103", "Combine constants: 10x + 41 = x - 103", "Subtract x from both sides: 9x + 41 = -103", "Subtract 41 from both sides: 9x = -144", "Divide both sides by 9: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 4) + 81 = x - 103", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 81, \"e\": -103, \"x\": -16}", "seed": "5867507208716890101", "semantic_fingerprint": "sha256:461bcf1cfed27e6fa620c02f985efc8d9ae0b706bcb558620badb3c9a883fb41", "generator_version": "3.0"}
{"id": "v3_val_00005588", "prompt": "What is (88 + 8) / 6?", "solution_steps": ["Add: 88 + 8 = 96", "Divide: 96 / 6 = 16"], "final_answer": "16", "answer_type": "integer", "kind": "expression", "math_text": "(88 + 8) / 6", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 8, \"c\": 6}", "seed": "9627020571246045059", "semantic_fingerprint": "sha256:f1c95243735dff235cbffc5e19197e4cc3d24836afaf4618fc1eeee2828a5adf", "generator_version": "3.0"}
{"id": "v3_val_00005589", "prompt": "Find x: 2(x - 64) + 76 = 11(x - 85) + 946", "solution_steps": ["Expand: 2x - 128 + 76 = 11(x - 85) + 946", "Expand: 2x - 128 + 76 = 11x - 935 + 946", "Combine constants: 2x - 52 = 11x - 935 + 946", "Combine constants: 2x - 52 = 11x + 11", "Subtract 11x from both sides: -9x - 52 = 11", "Add 52 to both sides: -9x = 63", "Divide both sides by -9: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 64) + 76 = 11(x - 85) + 946", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 64, \"c\": 76, \"d\": 11, \"e\": 85, \"g\": 946, \"x\": -7}", "seed": "12568725497281403190", "semantic_fingerprint": "sha256:3bd4a7776648c6ddaca0aae63541f28e7eaad6be3b4778b65d40ec8d50580ace", "generator_version": "3.0"}
{"id": "v3_val_00005590", "prompt": "Solve for x: -6(x + 8) + 5 = -3x + 14", "solution_steps": ["Expand: -6x - 48 + 5 = -3x + 14", "Combine constants: -6x - 43 = -3x + 14", "Add 3x to both sides: -3x - 43 = 14", "Add 43 to both sides: -3x = 57", "Divide both sides by -3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 8) + 5 = -3x + 14", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 8, \"c\": 5, \"d\": -3, \"f\": 14, \"x\": -19}", "seed": "4152111742425225704", "semantic_fingerprint": "sha256:287df72155fdb0a68b99b40d4d4881e6863d4ae8c66d0ff5151c17c6f13d2e97", "generator_version": "3.0"}
{"id": "v3_val_00005591", "prompt": "Calculate: -528 - 1 + (-6 + 72)", "solution_steps": ["Subtract: -528 - 1 = -529", "Add: -6 + 72 = 66", "Add: -529 + 66 = -463"], "final_answer": "-463", "answer_type": "integer", "kind": "expression", "math_text": "-528 - 1 + (-6 + 72)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -528, \"b\": 1, \"c\": -6, \"d\": 72}", "seed": "15302736818581092985", "semantic_fingerprint": "sha256:d64f7b7bb258dfb2ac96c39e5f4fb7f87fce43768390fc48903fd5b1db62c767", "generator_version": "3.0"}
{"id": "v3_val_00005592", "prompt": "Find x: 9(x - 3) = 7(x + 75) + 912", "solution_steps": ["Expand: 9x - 27 = 7(x + 75) + 912", "Expand: 9x - 27 = 7x + 525 + 912", "Combine constants: 9x - 27 = 7x + 1437", "Subtract 7x from both sides: 2x - 27 = 1437", "Add 27 to both sides: 2x = 1464", "Divide both sides by 2: x = 732"], "final_answer": "732", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) = 7(x + 75) + 912", "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\": 7, \"d\": 75, \"e\": 912}", "seed": "13886804926974260840", "semantic_fingerprint": "sha256:ea940534c0f59d71f97e1d2853288dd25f538654b1a2175be0c67c6bb7f5c87e", "generator_version": "3.0"}
{"id": "v3_val_00005593", "prompt": "What value of x satisfies 12(x - 27) = 10(x + 8)?", "solution_steps": ["Expand: 12x - 324 = 10(x + 8)", "Expand: 12x - 324 = 10x + 80", "Subtract 10x from both sides: 2x - 324 = 80", "Add 324 to both sides: 2x = 404", "Divide both sides by 2: x = 202"], "final_answer": "202", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 27) = 10(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 27, \"c\": 10, \"d\": 8}", "seed": "1989191935299914072", "semantic_fingerprint": "sha256:b6596d5f1610698ea87481788867707f738cf32c1291c7cd7517e6189194479b", "generator_version": "3.0"}
{"id": "v3_val_00005594", "prompt": "Evaluate: -29 / (-2) - (-434) + (5 + 85 + (-3))", "solution_steps": ["Divide: -29 / (-2) = 29/2", "Subtract: 29/2 - (-434) = 897/2", "Add: 5 + 85 = 90", "Add: 90 + (-3) = 87", "Add: 897/2 + 87 = 1071/2"], "final_answer": "1071/2", "answer_type": "rational", "kind": "expression", "math_text": "-29 / (-2) - (-434) + (5 + 85 + (-3))", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) n) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -2, \"c\": -434, \"d\": 5, \"e\": 85, \"f\": -3}", "seed": "17802240196974308845", "semantic_fingerprint": "sha256:fb7363ddc1e7ce8b29d039dfd007ea5a9ebde1d55f1ca761aa04b4c6cba50989", "generator_version": "3.0"}
{"id": "v3_val_00005595", "prompt": "Calculate: -223 * 8", "solution_steps": ["Multiply: -223 * 8 = -1784"], "final_answer": "-1784", "answer_type": "integer", "kind": "expression", "math_text": "-223 * 8", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -223, \"b\": 8}", "seed": "5744238317933358378", "semantic_fingerprint": "sha256:2e082fc3f661fb96ed24444412d00c2c3c0423bdc67e9731b4264d6d8c120adf", "generator_version": "3.0"}
{"id": "v3_val_00005596", "prompt": "Solve for x: 7x + 97 = 181", "solution_steps": ["Subtract 97 from both sides: 7x = 84", "Divide both sides by 7: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 97 = 181", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 97, \"d\": 181, \"x\": 12}", "seed": "3998419300707620199", "semantic_fingerprint": "sha256:36491c61e12e2196d6c708dec3b27dc671a27b40eb0fce829b200e5794da9746", "generator_version": "3.0"}
{"id": "v3_val_00005597", "prompt": "Calculate: 8 / (-36 + 35) * (-6 - (-2))", "solution_steps": ["Add: -36 + 35 = -1", "Divide: 8 / (-1) = -8", "Subtract: -6 - (-2) = -4", "Multiply: -8 * (-4) = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "8 / (-36 + 35) * (-6 - (-2))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -36, \"c\": 35, \"d\": -6, \"e\": -2}", "seed": "7585827680210195540", "semantic_fingerprint": "sha256:e4588c858bd934a0d05b7cc123a8dd33e0fcd71fa8b3481a7ddc931874f6f392", "generator_version": "3.0"}
{"id": "v3_val_00005598", "prompt": "What is (-4 - (-992)) * 27?", "solution_steps": ["Subtract: -4 - (-992) = 988", "Multiply: 988 * 27 = 26676"], "final_answer": "26676", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - (-992)) * 27", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -992, \"c\": 27}", "seed": "7289718216179372399", "semantic_fingerprint": "sha256:8c84bd842e86b6fc78d2fd500e23ae5b9396b329e478d601fa98d97b3cd1bab8", "generator_version": "3.0"}
{"id": "v3_val_00005599", "prompt": "Evaluate: 7 + (-79)", "solution_steps": ["Add: 7 + (-79) = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-79)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -79}", "seed": "16008114454817811173", "semantic_fingerprint": "sha256:fe0d97b71635fc77eee438428f7f100f67cea60eae981e7df9fd54bed2fe084c", "generator_version": "3.0"}
{"id": "v3_val_00005600", "prompt": "Solve the equation 10(x - 1) = -2x for x.", "solution_steps": ["Expand: 10x - 10 = -2x", "Add 2x to both sides: 12x - 10 = 0", "Add 10 to both sides: 12x = 10", "Divide both sides by 12: x = 5/6"], "final_answer": "5/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 1) = -2x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": -2}", "seed": "16230395383726858680", "semantic_fingerprint": "sha256:7ac3ca5b55a23bdccdcee45b264b0275d862c87ff042becfee962d2fb5eb8741", "generator_version": "3.0"}
{"id": "v3_val_00005601", "prompt": "What is 61 / (-32)?", "solution_steps": ["Divide: 61 / (-32) = -61/32"], "final_answer": "-61/32", "answer_type": "rational", "kind": "expression", "math_text": "61 / (-32)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -32}", "seed": "6024110833420219744", "semantic_fingerprint": "sha256:7694f93c70d2944e1639bf944ced1193622b239fff933c7dc443a320963eb7af", "generator_version": "3.0"}
{"id": "v3_val_00005602", "prompt": "What is (-74 - 8 * 27 - 250) * (-86 / 89)?", "solution_steps": ["Multiply: 8 * 27 = 216", "Subtract: -74 - 216 = -290", "Subtract: -290 - 250 = -540", "Divide: -86 / 89 = -86/89", "Multiply: -540 * (-86/89) = 46440/89"], "final_answer": "46440/89", "answer_type": "rational", "kind": "expression", "math_text": "(-74 - 8 * 27 - 250) * (-86 / 89)", "variable": null, "family": "expression_5op", "shape": "(* (- (- n (* n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 8, \"c\": 27, \"d\": 250, \"e\": -86, \"f\": 89}", "seed": "2993756921099116696", "semantic_fingerprint": "sha256:212f28542ed55f2d26dd92b29e7cc4a064be897553b7f4e7012a161ba41bc5b9", "generator_version": "3.0"}
{"id": "v3_val_00005603", "prompt": "Evaluate: (4 + 62) / (-39) + (-66) / (-5)", "solution_steps": ["Add: 4 + 62 = 66", "Divide: 66 / (-39) = -22/13", "Divide: -66 / (-5) = 66/5", "Add: -22/13 + 66/5 = 748/65"], "final_answer": "748/65", "answer_type": "rational", "kind": "expression", "math_text": "(4 + 62) / (-39) + (-66) / (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 62, \"c\": -39, \"d\": -66, \"e\": -5}", "seed": "12523000265385822895", "semantic_fingerprint": "sha256:b21eacd08a0545eaae872e4de61159549455ebd5c2af9b47aad45eb2fb7ad5d3", "generator_version": "3.0"}
{"id": "v3_val_00005604", "prompt": "What is 96 - (-7 - 60)?", "solution_steps": ["Subtract: -7 - 60 = -67", "Subtract: 96 - (-67) = 163"], "final_answer": "163", "answer_type": "integer", "kind": "expression", "math_text": "96 - (-7 - 60)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -7, \"c\": 60}", "seed": "773032352900810524", "semantic_fingerprint": "sha256:a397eee233fffdf3d22b700362ba559b95e67e899f052b9f6921aaaee21af8d0", "generator_version": "3.0"}
{"id": "v3_val_00005605", "prompt": "Solve the equation 12(x + 39) = -6(x + 5) for x.", "solution_steps": ["Expand: 12x + 468 = -6(x + 5)", "Expand: 12x + 468 = -6x - 30", "Add 6x to both sides: 18x + 468 = -30", "Subtract 468 from both sides: 18x = -498", "Divide both sides by 18: x = -83/3"], "final_answer": "-83/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 39) = -6(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 39, \"c\": -6, \"d\": 5}", "seed": "8953624729059718056", "semantic_fingerprint": "sha256:3848ceb6ec6a35c6d73ee1da3a17208a5d04e3fde80b7d2ebb0469fae0099b3e", "generator_version": "3.0"}
{"id": "v3_val_00005606", "prompt": "Compute: -93 / (-88)", "solution_steps": ["Divide: -93 / (-88) = 93/88"], "final_answer": "93/88", "answer_type": "rational", "kind": "expression", "math_text": "-93 / (-88)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -88}", "seed": "14398748655933778595", "semantic_fingerprint": "sha256:ef39e8701876b224de1714adad3b30c046474a13ff434ca9c953fe44e11ff543", "generator_version": "3.0"}
{"id": "v3_val_00005607", "prompt": "Compute: -361 * (-3 / (-12))", "solution_steps": ["Divide: -3 / (-12) = 1/4", "Multiply: -361 * (1/4) = -361/4"], "final_answer": "-361/4", "answer_type": "rational", "kind": "expression", "math_text": "-361 * (-3 / (-12))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -361, \"b\": -3, \"c\": -12}", "seed": "1412817002261260704", "semantic_fingerprint": "sha256:d00353e223a785a2f354b3ccc41a571f96c6b5044473e216ab1813ba38f6768a", "generator_version": "3.0"}
{"id": "v3_val_00005608", "prompt": "Find x: 8(x + 9) = 6x + 64", "solution_steps": ["Expand: 8x + 72 = 6x + 64", "Subtract 6x from both sides: 2x + 72 = 64", "Subtract 72 from both sides: 2x = -8", "Divide both sides by 2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 9) = 6x + 64", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 6, \"e\": 64, \"x\": -4}", "seed": "13084477302841136767", "semantic_fingerprint": "sha256:52c76c9c329d7fc02d8711445dc38ba649b32a2046495ab688ea6efa2fd77e96", "generator_version": "3.0"}
{"id": "v3_val_00005609", "prompt": "Evaluate: (-522 + (-804)) * (-54) - (-2)", "solution_steps": ["Add: -522 + (-804) = -1326", "Multiply: -1326 * (-54) = 71604", "Subtract: 71604 - (-2) = 71606"], "final_answer": "71606", "answer_type": "integer", "kind": "expression", "math_text": "(-522 + (-804)) * (-54) - (-2)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -522, \"b\": -804, \"c\": -54, \"d\": -2}", "seed": "15355727844395099797", "semantic_fingerprint": "sha256:3e7c74355dd6dd3e0791e710a8ba43d86f4e56ffc88c50df73e01324a74bc1f4", "generator_version": "3.0"}
{"id": "v3_val_00005610", "prompt": "What value of x satisfies 12(x - 154) = 3x?", "solution_steps": ["Expand: 12x - 1848 = 3x", "Subtract 3x from both sides: 9x - 1848 = 0", "Add 1848 to both sides: 9x = 1848", "Divide both sides by 9: x = 616/3"], "final_answer": "616/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 154) = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 154, \"c\": 3}", "seed": "12106690777879089970", "semantic_fingerprint": "sha256:1cfcf2ba786ebee5872263004b1986f653d6b374e13e51c3b1dc24d41a404643", "generator_version": "3.0"}
{"id": "v3_val_00005611", "prompt": "Compute: -7 - 0", "solution_steps": ["Subtract: -7 - 0 = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "-7 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 0}", "seed": "76249342202163648", "semantic_fingerprint": "sha256:9434f0baee60d320c9b202480a9148946d2ab753c0eaa34ae29d88917c843048", "generator_version": "3.0"}
{"id": "v3_val_00005612", "prompt": "Find x: 11x - 52 = 7x", "solution_steps": ["Subtract 7x 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": "11x - 52 = 7x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"d\": -52, \"x\": 13}", "seed": "8114249435731433376", "semantic_fingerprint": "sha256:84a57d21a1cf21df47cbfa8f30a537a040b0aae40fc8d5430efb54720ed20a47", "generator_version": "3.0"}
{"id": "v3_val_00005613", "prompt": "Compute: 1 * (-65) + (-26)", "solution_steps": ["Multiply: 1 * (-65) = -65", "Add: -65 + (-26) = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-65) + (-26)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -65, \"c\": -26}", "seed": "13607388483282286473", "semantic_fingerprint": "sha256:aade12d2db7a0e418d19a0c5dcdc62349c1a4ea97ae1a2a988775c8b1672001a", "generator_version": "3.0"}
{"id": "v3_val_00005614", "prompt": "What is (77 - 850) * (-33)?", "solution_steps": ["Subtract: 77 - 850 = -773", "Multiply: -773 * (-33) = 25509"], "final_answer": "25509", "answer_type": "integer", "kind": "expression", "math_text": "(77 - 850) * (-33)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 850, \"c\": -33}", "seed": "14502424203631958465", "semantic_fingerprint": "sha256:c2fbb26684e401b25735c3a8d24bcd1a5bc5a55d5a18a9c3c343bde8be39645e", "generator_version": "3.0"}
{"id": "v3_val_00005615", "prompt": "Compute: 53 + (0 + (-2) * (-2) - (-68))", "solution_steps": ["Multiply: -2 * (-2) = 4", "Add: 0 + 4 = 4", "Subtract: 4 - (-68) = 72", "Add: 53 + 72 = 125"], "final_answer": "125", "answer_type": "integer", "kind": "expression", "math_text": "53 + (0 + (-2) * (-2) - (-68))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 0, \"c\": -2, \"d\": -2, \"e\": -68}", "seed": "12051254119450636361", "semantic_fingerprint": "sha256:26445240d6a6a6a2f669a0939c08244a4a56a0f73af8b0a964ea42abe3d3d678", "generator_version": "3.0"}
{"id": "v3_val_00005616", "prompt": "Evaluate: -65 - (-1)", "solution_steps": ["Subtract: -65 - (-1) = -64"], "final_answer": "-64", "answer_type": "integer", "kind": "expression", "math_text": "-65 - (-1)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -1}", "seed": "10669117813462076744", "semantic_fingerprint": "sha256:b84364ae865451524b5f10ad70d22c8cb2fe75e3bf03a7fc271a538aa5d5ee2d", "generator_version": "3.0"}
{"id": "v3_val_00005617", "prompt": "Solve the equation x = -5(x + 11) + 133 for x.", "solution_steps": ["Expand: x = -5x - 55 + 133", "Combine constants: x = -5x + 78", "Add 5x to both sides: 6x = 78", "Divide both sides by 6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -5(x + 11) + 133", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 11, \"d\": 133, \"x\": 13}", "seed": "3445845973826644890", "semantic_fingerprint": "sha256:64689a433788bd4092da8153780e3a58d0f2e64775b50a362836493793685e67", "generator_version": "3.0"}
{"id": "v3_val_00005618", "prompt": "What value of x satisfies 8(x + 70) = 11(x + 29) + 295?", "solution_steps": ["Expand: 8x + 560 = 11(x + 29) + 295", "Expand: 8x + 560 = 11x + 319 + 295", "Combine constants: 8x + 560 = 11x + 614", "Subtract 11x from both sides: -3x + 560 = 614", "Subtract 560 from both sides: -3x = 54", "Divide both sides by -3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 70) = 11(x + 29) + 295", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 70, \"c\": 11, \"d\": 29, \"f\": 295, \"x\": -18}", "seed": "7851794379585636287", "semantic_fingerprint": "sha256:c5a48aedc0747b52960414335eafb9d0923b27b83a8c7c8acc91719f16f8d7cf", "generator_version": "3.0"}
{"id": "v3_val_00005619", "prompt": "Evaluate: 91 * (-9 / 89)", "solution_steps": ["Divide: -9 / 89 = -9/89", "Multiply: 91 * (-9/89) = -819/89"], "final_answer": "-819/89", "answer_type": "rational", "kind": "expression", "math_text": "91 * (-9 / 89)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -9, \"c\": 89}", "seed": "2058508194159789092", "semantic_fingerprint": "sha256:6a6311169131f881522748506269b91f570e5f9c751af5910d44494ffc1a8bd2", "generator_version": "3.0"}
{"id": "v3_val_00005620", "prompt": "Solve for x: 11(x - 6) + 14 = 10(x - 2) + 2", "solution_steps": ["Expand: 11x - 66 + 14 = 10(x - 2) + 2", "Expand: 11x - 66 + 14 = 10x - 20 + 2", "Combine constants: 11x - 52 = 10x - 20 + 2", "Combine constants: 11x - 52 = 10x - 18", "Subtract 10x from both sides: x - 52 = -18", "Add 52 to both sides: x = 34"], "final_answer": "34", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 6) + 14 = 10(x - 2) + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 14, \"d\": 10, \"e\": 2, \"f\": 2}", "seed": "16279550212665409074", "semantic_fingerprint": "sha256:e9f095cdaca0e49438c7da27e3ed2045977022b7aa1b5095b99506f17f6bd3be", "generator_version": "3.0"}
{"id": "v3_val_00005621", "prompt": "Evaluate: -7 + 154 - 334", "solution_steps": ["Add: -7 + 154 = 147", "Subtract: 147 - 334 = -187"], "final_answer": "-187", "answer_type": "integer", "kind": "expression", "math_text": "-7 + 154 - 334", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 154, \"c\": 334}", "seed": "4466496956882198682", "semantic_fingerprint": "sha256:9df5101d1e00894cbe7b89a38462362ab8b9de539c3de853a8f0a3b2f3fe69b3", "generator_version": "3.0"}
{"id": "v3_val_00005622", "prompt": "What is 57 * (-78) / (6 + 30 * (-493))?", "solution_steps": ["Multiply: 57 * (-78) = -4446", "Multiply: 30 * (-493) = -14790", "Add: 6 + (-14790) = -14784", "Divide: -4446 / (-14784) = 741/2464"], "final_answer": "741/2464", "answer_type": "rational", "kind": "expression", "math_text": "57 * (-78) / (6 + 30 * (-493))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -78, \"c\": 6, \"d\": 30, \"e\": -493}", "seed": "18221996238962401475", "semantic_fingerprint": "sha256:9e2e441267b62352e27376a78ab4086589feab7063195e5ab850e8912a4d2284", "generator_version": "3.0"}
{"id": "v3_val_00005623", "prompt": "What is 4 + (9 - (-4)) / (-4)?", "solution_steps": ["Subtract: 9 - (-4) = 13", "Divide: 13 / (-4) = -13/4", "Add: 4 + (-13/4) = 3/4"], "final_answer": "3/4", "answer_type": "rational", "kind": "expression", "math_text": "4 + (9 - (-4)) / (-4)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": -4, \"d\": -4}", "seed": "8279778738884384044", "semantic_fingerprint": "sha256:567d9e29819e840caad3f941d7e8fcc9cf3b4f034df2b1e94732a796fcfcf5a2", "generator_version": "3.0"}
{"id": "v3_val_00005624", "prompt": "Evaluate: -7 / 9 / 12", "solution_steps": ["Divide: -7 / 9 = -7/9", "Divide: (-7/9) / 12 = -7/108"], "final_answer": "-7/108", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 9 / 12", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": 12}", "seed": "4627564643411765296", "semantic_fingerprint": "sha256:82f53d96ca1d35fd0f1959c201c3cb0740772a497a78fba908095c1b53ead185", "generator_version": "3.0"}
{"id": "v3_val_00005625", "prompt": "Evaluate: (739 + 17 * 7) * 4", "solution_steps": ["Multiply: 17 * 7 = 119", "Add: 739 + 119 = 858", "Multiply: 858 * 4 = 3432"], "final_answer": "3432", "answer_type": "integer", "kind": "expression", "math_text": "(739 + 17 * 7) * 4", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 739, \"b\": 17, \"c\": 7, \"d\": 4}", "seed": "6309815927659652333", "semantic_fingerprint": "sha256:78dd2f164dcf0fa4efb3cd2f09a1d2d3c514854fc98ca7518d5fbf5156431d41", "generator_version": "3.0"}
{"id": "v3_val_00005626", "prompt": "Compute: (161 + 0) / (98 * (-48 / 316)) - 0", "solution_steps": ["Add: 161 + 0 = 161", "Divide: -48 / 316 = -12/79", "Multiply: 98 * (-12/79) = -1176/79", "Divide: 161 / (-1176/79) = -1817/168", "Subtract: -1817/168 - 0 = -1817/168"], "final_answer": "-1817/168", "answer_type": "rational", "kind": "expression", "math_text": "(161 + 0) / (98 * (-48 / 316)) - 0", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) (* n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 161, \"b\": 0, \"c\": 98, \"d\": -48, \"e\": 316, \"f\": 0}", "seed": "9601883842680942070", "semantic_fingerprint": "sha256:49b320f6cbea255c07a7d121d566f6daa44004d3b8ef4b3c06663cd628e16791", "generator_version": "3.0"}
{"id": "v3_val_00005627", "prompt": "Calculate: -27 - (-1) * 843 / (-798)", "solution_steps": ["Multiply: -1 * 843 = -843", "Divide: -843 / (-798) = 281/266", "Subtract: -27 - 281/266 = -7463/266"], "final_answer": "-7463/266", "answer_type": "rational", "kind": "expression", "math_text": "-27 - (-1) * 843 / (-798)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -1, \"c\": 843, \"d\": -798}", "seed": "14360022239929210885", "semantic_fingerprint": "sha256:36f162ea32fe8b6cf2050e2fe32666c838350ba24909a7ee90b5da990950ea6a", "generator_version": "3.0"}
{"id": "v3_val_00005628", "prompt": "Solve for x: 2(x - 94) = 11(x + 1) - 253", "solution_steps": ["Expand: 2x - 188 = 11(x + 1) - 253", "Expand: 2x - 188 = 11x + 11 - 253", "Combine constants: 2x - 188 = 11x - 242", "Subtract 11x from both sides: -9x - 188 = -242", "Add 188 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 - 94) = 11(x + 1) - 253", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 94, \"c\": 11, \"d\": 1, \"f\": -253, \"x\": 6}", "seed": "14219043673465398774", "semantic_fingerprint": "sha256:bcf197caeea85b0df4a003c22179ac7fc27ab2009fef33c14748dc6ddf8d8e0e", "generator_version": "3.0"}
{"id": "v3_val_00005629", "prompt": "Calculate: -9 * (-6 / 356)", "solution_steps": ["Divide: -6 / 356 = -3/178", "Multiply: -9 * (-3/178) = 27/178"], "final_answer": "27/178", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-6 / 356)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -6, \"c\": 356}", "seed": "2283662940013703476", "semantic_fingerprint": "sha256:5e833fe9cab879c0451bb0e567efc3eaf6afe6b47aceb399e6d00fa201fd68bb", "generator_version": "3.0"}
{"id": "v3_val_00005630", "prompt": "Compute: -86 / (8 / (-367))", "solution_steps": ["Divide: 8 / (-367) = -8/367", "Divide: -86 / (-8/367) = 15781/4"], "final_answer": "15781/4", "answer_type": "rational", "kind": "expression", "math_text": "-86 / (8 / (-367))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 8, \"c\": -367}", "seed": "4683313559093000216", "semantic_fingerprint": "sha256:b7999774b696e2f725d61bb42e9b42c2e200f1c049b45609d9ff0f2402a40783", "generator_version": "3.0"}
{"id": "v3_val_00005631", "prompt": "Evaluate: -42 * 4 * 338", "solution_steps": ["Multiply: -42 * 4 = -168", "Multiply: -168 * 338 = -56784"], "final_answer": "-56784", "answer_type": "integer", "kind": "expression", "math_text": "-42 * 4 * 338", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 4, \"c\": 338}", "seed": "5526578655756391963", "semantic_fingerprint": "sha256:7890b6047556013eb7560e79a6bf304f9633fb0399f7f60536beba9328dad6ec", "generator_version": "3.0"}
{"id": "v3_val_00005632", "prompt": "Compute: -497 * (4 / (-45)) + (-30)", "solution_steps": ["Divide: 4 / (-45) = -4/45", "Multiply: -497 * (-4/45) = 1988/45", "Add: 1988/45 + (-30) = 638/45"], "final_answer": "638/45", "answer_type": "rational", "kind": "expression", "math_text": "-497 * (4 / (-45)) + (-30)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -497, \"b\": 4, \"c\": -45, \"d\": -30}", "seed": "1212162483367343404", "semantic_fingerprint": "sha256:46f64dddd38fbcd505bec67ae5d92ad1120b7bd7de8aee483eea4210c7b34fb5", "generator_version": "3.0"}
{"id": "v3_val_00005633", "prompt": "Compute: 29 - (-25) - (0 - 51)", "solution_steps": ["Subtract: 29 - (-25) = 54", "Subtract: 0 - 51 = -51", "Subtract: 54 - (-51) = 105"], "final_answer": "105", "answer_type": "integer", "kind": "expression", "math_text": "29 - (-25) - (0 - 51)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -25, \"c\": 0, \"d\": 51}", "seed": "1007790453887347484", "semantic_fingerprint": "sha256:8b206a816741381251850bca1418489b75cc5ae07fa3661c3f7132e544aefc36", "generator_version": "3.0"}
{"id": "v3_val_00005634", "prompt": "Solve for x: 2(x - 50) - 7 = 9x - 573", "solution_steps": ["Expand: 2x - 100 - 7 = 9x - 573", "Combine constants: 2x - 107 = 9x - 573", "Subtract 9x from both sides: -7x - 107 = -573", "Add 107 to both sides: -7x = -466", "Divide both sides by -7: x = 466/7"], "final_answer": "466/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 50) - 7 = 9x - 573", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 50, \"c\": 7, \"d\": 9, \"e\": 573}", "seed": "13285474223667275694", "semantic_fingerprint": "sha256:8e53e894274031e466f2d37e086ce9014cf4fdfe9dd30ef039f959b456dfabf3", "generator_version": "3.0"}
{"id": "v3_val_00005635", "prompt": "Find x: -10(x - 67) - 8 = x - 77", "solution_steps": ["Expand: -10x + 670 - 8 = x - 77", "Combine constants: -10x + 662 = x - 77", "Subtract x from both sides: -11x + 662 = -77", "Subtract 662 from both sides: -11x = -739", "Divide both sides by -11: x = 739/11"], "final_answer": "739/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 67) - 8 = x - 77", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 67, \"c\": 8, \"d\": 77}", "seed": "12007140511319701843", "semantic_fingerprint": "sha256:6c6e60306ba6728f57cafd37ff39b1b6a716cb1b8f0e116fd8e83e7829afedfd", "generator_version": "3.0"}
{"id": "v3_val_00005636", "prompt": "What is (64 + (-9)) * (-4 / (-6))?", "solution_steps": ["Add: 64 + (-9) = 55", "Divide: -4 / (-6) = 2/3", "Multiply: 55 * (2/3) = 110/3"], "final_answer": "110/3", "answer_type": "rational", "kind": "expression", "math_text": "(64 + (-9)) * (-4 / (-6))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -9, \"c\": -4, \"d\": -6}", "seed": "16478084968427869986", "semantic_fingerprint": "sha256:aefb78d94938439795bae58082e7b77a7a193ad77a4b94c2914d996c0bbe6708", "generator_version": "3.0"}
{"id": "v3_val_00005637", "prompt": "Find x: 8(x + 12) + 9 = 6(x + 21)", "solution_steps": ["Expand: 8x + 96 + 9 = 6(x + 21)", "Expand: 8x + 96 + 9 = 6x + 126", "Combine constants: 8x + 105 = 6x + 126", "Subtract 6x from both sides: 2x + 105 = 126", "Subtract 105 from both sides: 2x = 21", "Divide both sides by 2: x = 21/2"], "final_answer": "21/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 12) + 9 = 6(x + 21)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 9, \"d\": 6, \"e\": 21}", "seed": "4468797102740287578", "semantic_fingerprint": "sha256:193df0cdff30bbef11e87479b6258aaea9e3add847ac20f8763b47b0e18209f8", "generator_version": "3.0"}
{"id": "v3_val_00005638", "prompt": "Solve for x: 5(x + 80) = 7x + 364", "solution_steps": ["Expand: 5x + 400 = 7x + 364", "Subtract 7x from both sides: -2x + 400 = 364", "Subtract 400 from both sides: -2x = -36", "Divide both sides by -2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 80) = 7x + 364", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 80, \"c\": 7, \"e\": 364, \"x\": 18}", "seed": "3694798781485026610", "semantic_fingerprint": "sha256:e808d4cffba4c3e76421f89dd1aa262f9749d9e72ac1964a48451f071001da93", "generator_version": "3.0"}
{"id": "v3_val_00005639", "prompt": "What value of x satisfies 2x + 59 = x + 63?", "solution_steps": ["Subtract x from both sides: x + 59 = 63", "Subtract 59 from both sides: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 59 = x + 63", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 59, \"d\": 63, \"x\": 4}", "seed": "16762026900335274762", "semantic_fingerprint": "sha256:33e45c0c934f8d1a2c83362cb1ebf028adaa725b26aa7ac09310a23093a54fc1", "generator_version": "3.0"}
{"id": "v3_val_00005640", "prompt": "What value of x satisfies 2(x + 93) - 179 = x?", "solution_steps": ["Expand: 2x + 186 - 179 = x", "Combine constants: 2x + 7 = x", "Subtract x from both sides: x + 7 = 0", "Subtract 7 from both sides: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 93) - 179 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 93, \"d\": -179, \"x\": -7}", "seed": "1636337272513140881", "semantic_fingerprint": "sha256:0952c43f9e7afea8af79caf6886e487c2ebe59c6a04c5f09d86e8845be04d636", "generator_version": "3.0"}
{"id": "v3_val_00005641", "prompt": "Evaluate: 983 / 15 / (9 + 426)", "solution_steps": ["Divide: 983 / 15 = 983/15", "Add: 9 + 426 = 435", "Divide: (983/15) / 435 = 983/6525"], "final_answer": "983/6525", "answer_type": "rational", "kind": "expression", "math_text": "983 / 15 / (9 + 426)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 983, \"b\": 15, \"c\": 9, \"d\": 426}", "seed": "4152960101229565230", "semantic_fingerprint": "sha256:85ef4440a6d414d97043c1b06e65f90d621bcedfd053a16ec63e5ecbb4a5d7d9", "generator_version": "3.0"}
{"id": "v3_val_00005642", "prompt": "What is -1 * (-162) * 763?", "solution_steps": ["Multiply: -1 * (-162) = 162", "Multiply: 162 * 763 = 123606"], "final_answer": "123606", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-162) * 763", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -162, \"c\": 763}", "seed": "12402915824888056532", "semantic_fingerprint": "sha256:785e310fff5bb6ce5a9835f18faa12f189aaa7c5a858156215b0e85934b607f0", "generator_version": "3.0"}
{"id": "v3_val_00005643", "prompt": "Calculate: 4 - (1 + 23)", "solution_steps": ["Add: 1 + 23 = 24", "Subtract: 4 - 24 = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "expression", "math_text": "4 - (1 + 23)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 23}", "seed": "13604829002826949787", "semantic_fingerprint": "sha256:871358a3b56f59dc3ff3788c03de1216e712d1b56655989d4b43fc84054cd186", "generator_version": "3.0"}
{"id": "v3_val_00005644", "prompt": "What value of x satisfies x + 160 = 9(x + 719) + 8?", "solution_steps": ["Expand: x + 160 = 9x + 6471 + 8", "Combine constants: x + 160 = 9x + 6479", "Subtract 9x from both sides: -8x + 160 = 6479", "Subtract 160 from both sides: -8x = 6319", "Divide both sides by -8: x = -6319/8"], "final_answer": "-6319/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 160 = 9(x + 719) + 8", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 160, \"b\": 9, \"c\": 719, \"d\": 8}", "seed": "6051579284572622394", "semantic_fingerprint": "sha256:88d4848a947f3048c1c04b5ea51b5bc1895a9f70d5a5cc95bfb78efe5ec16020", "generator_version": "3.0"}
{"id": "v3_val_00005645", "prompt": "Compute: 6 * 4 / (-49) * (-3 - 23)", "solution_steps": ["Multiply: 6 * 4 = 24", "Divide: 24 / (-49) = -24/49", "Subtract: -3 - 23 = -26", "Multiply: (-24/49) * (-26) = 624/49"], "final_answer": "624/49", "answer_type": "rational", "kind": "expression", "math_text": "6 * 4 / (-49) * (-3 - 23)", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": -49, \"d\": -3, \"e\": 23}", "seed": "9469137829704447315", "semantic_fingerprint": "sha256:1ac4e6295b775dd1babb687fb0fac4cd7526c093f140c53c88f371ebe744532e", "generator_version": "3.0"}
{"id": "v3_val_00005646", "prompt": "Evaluate: (36 - (-66)) / (-3)", "solution_steps": ["Subtract: 36 - (-66) = 102", "Divide: 102 / (-3) = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "expression", "math_text": "(36 - (-66)) / (-3)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -66, \"c\": -3}", "seed": "3415617401593545260", "semantic_fingerprint": "sha256:d4c8a29e9241d0b1cb67cd74391defd243e2b330a4f5f6c8a4100bcd97c75cc3", "generator_version": "3.0"}
{"id": "v3_val_00005647", "prompt": "Compute: -62 + (-73 - (103 - (-6)))", "solution_steps": ["Subtract: 103 - (-6) = 109", "Subtract: -73 - 109 = -182", "Add: -62 + (-182) = -244"], "final_answer": "-244", "answer_type": "integer", "kind": "expression", "math_text": "-62 + (-73 - (103 - (-6)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -73, \"c\": 103, \"d\": -6}", "seed": "11722227212677732701", "semantic_fingerprint": "sha256:37095b748ab7e5567778a956b63d6944e0e95fe84fd1d0ea93c9779a2f377326", "generator_version": "3.0"}
{"id": "v3_val_00005648", "prompt": "Solve the equation 6x + 250 = 10x + 7 for x.", "solution_steps": ["Subtract 10x from both sides: -4x + 250 = 7", "Subtract 250 from both sides: -4x = -243", "Divide both sides by -4: x = 243/4"], "final_answer": "243/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x + 250 = 10x + 7", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 250, \"c\": 10, \"d\": 7}", "seed": "16294569883743911863", "semantic_fingerprint": "sha256:655b19e35d23dae47ebca567977d3d233acb00ce5d7ccc310208bc75d062295d", "generator_version": "3.0"}
{"id": "v3_val_00005649", "prompt": "Compute: 7 / (-78) * 15 * (9 - (-31))", "solution_steps": ["Divide: 7 / (-78) = -7/78", "Multiply: (-7/78) * 15 = -35/26", "Subtract: 9 - (-31) = 40", "Multiply: (-35/26) * 40 = -700/13"], "final_answer": "-700/13", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-78) * 15 * (9 - (-31))", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -78, \"c\": 15, \"d\": 9, \"e\": -31}", "seed": "717314780709182804", "semantic_fingerprint": "sha256:018881a51c0b106b55aede0c826f39d57d918cc10e23a3ba546fd5eff1ef500b", "generator_version": "3.0"}
{"id": "v3_val_00005650", "prompt": "Compute: 3 + (9 - (-45))", "solution_steps": ["Subtract: 9 - (-45) = 54", "Add: 3 + 54 = 57"], "final_answer": "57", "answer_type": "integer", "kind": "expression", "math_text": "3 + (9 - (-45))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": -45}", "seed": "13639572325882925799", "semantic_fingerprint": "sha256:a80023d925ae55f205f727d4bfc896eaa2eef357bdc06881921aa08acaa7696c", "generator_version": "3.0"}
{"id": "v3_val_00005651", "prompt": "Compute: 18 * (-49 - (-14))", "solution_steps": ["Subtract: -49 - (-14) = -35", "Multiply: 18 * (-35) = -630"], "final_answer": "-630", "answer_type": "integer", "kind": "expression", "math_text": "18 * (-49 - (-14))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -49, \"c\": -14}", "seed": "3639036755398504853", "semantic_fingerprint": "sha256:962ff3a28b592e518b7b3fd97648aefe32b95d5b182ef7853f5ad095c627350f", "generator_version": "3.0"}
{"id": "v3_val_00005652", "prompt": "What value of x satisfies x + 704 = 7(x + 92)?", "solution_steps": ["Expand: x + 704 = 7x + 644", "Subtract 7x from both sides: -6x + 704 = 644", "Subtract 704 from both sides: -6x = -60", "Divide both sides by -6: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 704 = 7(x + 92)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 92, \"d\": 704, \"x\": 10}", "seed": "7163500159817691015", "semantic_fingerprint": "sha256:a1f649e5a5d6eea6c75f663fe5c893083dbe2ead997c13774ec1f22f38f22969", "generator_version": "3.0"}
{"id": "v3_val_00005653", "prompt": "Compute: (-7 + 2) / (-70)", "solution_steps": ["Add: -7 + 2 = -5", "Divide: -5 / (-70) = 1/14"], "final_answer": "1/14", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + 2) / (-70)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": -70}", "seed": "8080473066712660785", "semantic_fingerprint": "sha256:1f877a62e3c043223c9153575b036ef933297211c00064f5406af564f9607d05", "generator_version": "3.0"}
{"id": "v3_val_00005654", "prompt": "Solve the equation x + 465 = 9x + 513 for x.", "solution_steps": ["Subtract 9x from both sides: -8x + 465 = 513", "Subtract 465 from both sides: -8x = 48", "Divide both sides by -8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 465 = 9x + 513", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 465, \"b\": 9, \"d\": 513, \"x\": -6}", "seed": "15039920561825631684", "semantic_fingerprint": "sha256:13a1a9e69ba65070bf242df1e974fbe8337e05c5cb038ed46d1360cbe77507f9", "generator_version": "3.0"}
{"id": "v3_val_00005655", "prompt": "Calculate: 81 + (-91) * (-417) / 926 - 6", "solution_steps": ["Multiply: -91 * (-417) = 37947", "Divide: 37947 / 926 = 37947/926", "Add: 81 + 37947/926 = 112953/926", "Subtract: 112953/926 - 6 = 107397/926"], "final_answer": "107397/926", "answer_type": "rational", "kind": "expression", "math_text": "81 + (-91) * (-417) / 926 - 6", "variable": null, "family": "expression_4op", "shape": "(- (+ n (/ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -91, \"c\": -417, \"d\": 926, \"e\": 6}", "seed": "7581071566124032856", "semantic_fingerprint": "sha256:c4f56654858599def697fed5ea79f7184b01c4847f6c3ed482de3654ed72031c", "generator_version": "3.0"}
{"id": "v3_val_00005656", "prompt": "Solve for x: 6(x + 87) - 2 = 3(x - 4) + 565", "solution_steps": ["Expand: 6x + 522 - 2 = 3(x - 4) + 565", "Expand: 6x + 522 - 2 = 3x - 12 + 565", "Combine constants: 6x + 520 = 3x - 12 + 565", "Combine constants: 6x + 520 = 3x + 553", "Subtract 3x from both sides: 3x + 520 = 553", "Subtract 520 from both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 87) - 2 = 3(x - 4) + 565", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 87, \"c\": 2, \"d\": 3, \"e\": 4, \"g\": 565, \"x\": 11}", "seed": "15255193568194156031", "semantic_fingerprint": "sha256:0051aa692510e7ca6dd3457d98c068094cced86211ec9c10937c95bb949cb152", "generator_version": "3.0"}
{"id": "v3_val_00005657", "prompt": "Evaluate: -67 / (-35) + (-209) * 0 * (-90)", "solution_steps": ["Divide: -67 / (-35) = 67/35", "Multiply: -209 * 0 = 0", "Multiply: 0 * (-90) = 0", "Add: 67/35 + 0 = 67/35"], "final_answer": "67/35", "answer_type": "rational", "kind": "expression", "math_text": "-67 / (-35) + (-209) * 0 * (-90)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -35, \"c\": -209, \"d\": 0, \"e\": -90}", "seed": "9059527151829945857", "semantic_fingerprint": "sha256:f1f6a32e2ac9dd74e2375a94fa01208943cc1290585e4f5a13cf258cb0ec4764", "generator_version": "3.0"}
{"id": "v3_val_00005658", "prompt": "Calculate: -105 - (-2 * (-108) - (-827))", "solution_steps": ["Multiply: -2 * (-108) = 216", "Subtract: 216 - (-827) = 1043", "Subtract: -105 - 1043 = -1148"], "final_answer": "-1148", "answer_type": "integer", "kind": "expression", "math_text": "-105 - (-2 * (-108) - (-827))", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -105, \"b\": -2, \"c\": -108, \"d\": -827}", "seed": "1354139242322788920", "semantic_fingerprint": "sha256:a1f209ddf7e6613af73052d7ddaff815f7c1779cbdfc7b365a504d102737c74b", "generator_version": "3.0"}
{"id": "v3_val_00005659", "prompt": "Evaluate: -54 / (-36) + (-9)", "solution_steps": ["Divide: -54 / (-36) = 3/2", "Add: 3/2 + (-9) = -15/2"], "final_answer": "-15/2", "answer_type": "rational", "kind": "expression", "math_text": "-54 / (-36) + (-9)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -36, \"c\": -9}", "seed": "11792918470109602204", "semantic_fingerprint": "sha256:44ce528468ebbdc39f63927ebd7b4733377b9eee4544d7ad2742f26ad44455a1", "generator_version": "3.0"}
{"id": "v3_val_00005660", "prompt": "What is 67 / (-8)?", "solution_steps": ["Divide: 67 / (-8) = -67/8"], "final_answer": "-67/8", "answer_type": "rational", "kind": "expression", "math_text": "67 / (-8)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -8}", "seed": "6458916173628699562", "semantic_fingerprint": "sha256:c6c0fd10323b6b9ed852fab2d1d8b95dc1ff02d22c9df5bdd0c473e48638bb97", "generator_version": "3.0"}
{"id": "v3_val_00005661", "prompt": "Compute: -88 * (-484) - (2 - (6 - (-85)) * 54)", "solution_steps": ["Multiply: -88 * (-484) = 42592", "Subtract: 6 - (-85) = 91", "Multiply: 91 * 54 = 4914", "Subtract: 2 - 4914 = -4912", "Subtract: 42592 - (-4912) = 47504"], "final_answer": "47504", "answer_type": "integer", "kind": "expression", "math_text": "-88 * (-484) - (2 - (6 - (-85)) * 54)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -484, \"c\": 2, \"d\": 6, \"e\": -85, \"f\": 54}", "seed": "12319013140621166851", "semantic_fingerprint": "sha256:5b28d4b98c9aa9a3ed7af51edb7be179117d902acf2384c64eae00e1d84a764e", "generator_version": "3.0"}
{"id": "v3_val_00005662", "prompt": "Solve for x: 2(x + 28) - 77 = x", "solution_steps": ["Expand: 2x + 56 - 77 = x", "Combine constants: 2x - 21 = x", "Subtract x from both sides: x - 21 = 0", "Add 21 to both sides: x = 21"], "final_answer": "21", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 28) - 77 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 28, \"c\": 77}", "seed": "1733888723731244466", "semantic_fingerprint": "sha256:99c2b2c8c7864797fd1a097234ce4c433359b795dbb0fd1727c9cf5accc66260", "generator_version": "3.0"}
{"id": "v3_val_00005663", "prompt": "What is 89 * ((-75 + (-90)) * 10)?", "solution_steps": ["Add: -75 + (-90) = -165", "Multiply: -165 * 10 = -1650", "Multiply: 89 * (-1650) = -146850"], "final_answer": "-146850", "answer_type": "integer", "kind": "expression", "math_text": "89 * ((-75 + (-90)) * 10)", "variable": null, "family": "expression_3op", "shape": "(* n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -75, \"c\": -90, \"d\": 10}", "seed": "17420956110909603334", "semantic_fingerprint": "sha256:8506534af55f3fb9e5d76da907ec19b13907398e953cce2f8c61cfee327fb3ad", "generator_version": "3.0"}
{"id": "v3_val_00005664", "prompt": "What is -76 / 44 + 7 * (1 * (-94) / 38)?", "solution_steps": ["Divide: -76 / 44 = -19/11", "Multiply: 1 * (-94) = -94", "Divide: -94 / 38 = -47/19", "Multiply: 7 * (-47/19) = -329/19", "Add: -19/11 + (-329/19) = -3980/209"], "final_answer": "-3980/209", "answer_type": "rational", "kind": "expression", "math_text": "-76 / 44 + 7 * (1 * (-94) / 38)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* n (/ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 44, \"c\": 7, \"d\": 1, \"e\": -94, \"f\": 38}", "seed": "6914594549463734643", "semantic_fingerprint": "sha256:bc866f9ec3ebf81e468fb39d43ac077bf419c50ac96df9a5bab9eac5311f88ae", "generator_version": "3.0"}
{"id": "v3_val_00005665", "prompt": "What value of x satisfies -9(x + 5) = x - 205?", "solution_steps": ["Expand: -9x - 45 = x - 205", "Subtract x from both sides: -10x - 45 = -205", "Add 45 to both sides: -10x = -160", "Divide both sides by -10: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 5) = x - 205", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"d\": -205, \"x\": 16}", "seed": "4387306010589542491", "semantic_fingerprint": "sha256:7425e42fb6efcb18d80fa7a5dd48313c765110ecdeebcb1d838c55c21d58cb2f", "generator_version": "3.0"}
{"id": "v3_val_00005666", "prompt": "Compute: -59 + (-687) * 1", "solution_steps": ["Multiply: -687 * 1 = -687", "Add: -59 + (-687) = -746"], "final_answer": "-746", "answer_type": "integer", "kind": "expression", "math_text": "-59 + (-687) * 1", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -687, \"c\": 1}", "seed": "4168054650011038578", "semantic_fingerprint": "sha256:b9b45c71a5f1f306c3e661d56d5dca8e059fd11584896f6e165f16e49a1c3e8b", "generator_version": "3.0"}
{"id": "v3_val_00005667", "prompt": "Calculate: 5 + 67 + (-3)", "solution_steps": ["Add: 5 + 67 = 72", "Add: 72 + (-3) = 69"], "final_answer": "69", "answer_type": "integer", "kind": "expression", "math_text": "5 + 67 + (-3)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 67, \"c\": -3}", "seed": "1185330918823153933", "semantic_fingerprint": "sha256:1bbfb259e20facb952790f01b09e2fbfdc6dea9acb4d56b09eeb159f254db7ca", "generator_version": "3.0"}
{"id": "v3_val_00005668", "prompt": "Compute: 23 + 10 - (-66 - (-646))", "solution_steps": ["Add: 23 + 10 = 33", "Subtract: -66 - (-646) = 580", "Subtract: 33 - 580 = -547"], "final_answer": "-547", "answer_type": "integer", "kind": "expression", "math_text": "23 + 10 - (-66 - (-646))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 10, \"c\": -66, \"d\": -646}", "seed": "17769679773252756770", "semantic_fingerprint": "sha256:2809881dfd3006dff0c9f14e517edf14fb1a343337265add48d413b8707c6cb8", "generator_version": "3.0"}
{"id": "v3_val_00005669", "prompt": "Solve the equation x + 2 = 4(x - 774) + 3 for x.", "solution_steps": ["Expand: x + 2 = 4x - 3096 + 3", "Combine constants: x + 2 = 4x - 3093", "Subtract 4x from both sides: -3x + 2 = -3093", "Subtract 2 from both sides: -3x = -3095", "Divide both sides by -3: x = 3095/3"], "final_answer": "3095/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2 = 4(x - 774) + 3", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 774, \"d\": 3}", "seed": "2451977876800531306", "semantic_fingerprint": "sha256:9a31c7a687da2367a44f9aa62b45478c914af3708f978c859ed9e216412b4034", "generator_version": "3.0"}
{"id": "v3_val_00005670", "prompt": "Solve the equation -2x - 966 = -4(x + 245) for x.", "solution_steps": ["Expand: -2x - 966 = -4x - 980", "Add 4x to both sides: 2x - 966 = -980", "Add 966 to both sides: 2x = -14", "Divide both sides by 2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 966 = -4(x + 245)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -4, \"c\": 245, \"e\": -966, \"x\": -7}", "seed": "15381119121129023316", "semantic_fingerprint": "sha256:4b96573427c2f1e114ea6622b5435066122178663cf9d4ce6b5b09ab21d6aa54", "generator_version": "3.0"}
{"id": "v3_val_00005671", "prompt": "Solve the equation x + 2 = 9(x - 4) + 30 for x.", "solution_steps": ["Expand: x + 2 = 9x - 36 + 30", "Combine constants: x + 2 = 9x - 6", "Subtract 9x from both sides: -8x + 2 = -6", "Subtract 2 from both sides: -8x = -8", "Divide both sides by -8: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2 = 9(x - 4) + 30", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 4, \"e\": 30, \"x\": 1}", "seed": "6388042612738364616", "semantic_fingerprint": "sha256:38f5dd21279f0b1094ccdf47d136a8788c778e84f2bf653494d7199ef88cb549", "generator_version": "3.0"}
{"id": "v3_val_00005672", "prompt": "Find x: x + 59 = 7x - 13", "solution_steps": ["Subtract 7x from both sides: -6x + 59 = -13", "Subtract 59 from both sides: -6x = -72", "Divide both sides by -6: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 59 = 7x - 13", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 7, \"d\": -13, \"x\": 12}", "seed": "11704886350587121065", "semantic_fingerprint": "sha256:6b727acf15d26e73fcde68173d2465cee269b17e29203975af84714e66b03e2b", "generator_version": "3.0"}
{"id": "v3_val_00005673", "prompt": "What is -2 * (-788 + (-8)) + 3?", "solution_steps": ["Add: -788 + (-8) = -796", "Multiply: -2 * (-796) = 1592", "Add: 1592 + 3 = 1595"], "final_answer": "1595", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-788 + (-8)) + 3", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -788, \"c\": -8, \"d\": 3}", "seed": "548611388370513820", "semantic_fingerprint": "sha256:0984f87b82798b7e573b7ceaadc46f85ac76d05b1e9e81e37525f91432e8e14a", "generator_version": "3.0"}
{"id": "v3_val_00005674", "prompt": "What is 64 - 1 - (-2) / (-1)?", "solution_steps": ["Subtract: 64 - 1 = 63", "Divide: -2 / (-1) = 2", "Subtract: 63 - 2 = 61"], "final_answer": "61", "answer_type": "integer", "kind": "expression", "math_text": "64 - 1 - (-2) / (-1)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 1, \"c\": -2, \"d\": -1}", "seed": "1465248519411703462", "semantic_fingerprint": "sha256:b5a03643bffb8c31f93a7eb343a410e1b46d8f0cdf74cccae470ffcb89217487", "generator_version": "3.0"}
{"id": "v3_val_00005675", "prompt": "Calculate: (4 - 9 + (-22) * 22) / (8 + (-10))", "solution_steps": ["Subtract: 4 - 9 = -5", "Multiply: -22 * 22 = -484", "Add: -5 + (-484) = -489", "Add: 8 + (-10) = -2", "Divide: -489 / (-2) = 489/2"], "final_answer": "489/2", "answer_type": "rational", "kind": "expression", "math_text": "(4 - 9 + (-22) * 22) / (8 + (-10))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": -22, \"d\": 22, \"e\": 8, \"f\": -10}", "seed": "15619234573157454104", "semantic_fingerprint": "sha256:9932b635fe6f00167cffd8a8b5b69708ba766b01937e1c0eba252108adec731a", "generator_version": "3.0"}
{"id": "v3_val_00005676", "prompt": "Solve the equation x + 15 = 11(x + 5) for x.", "solution_steps": ["Expand: x + 15 = 11x + 55", "Subtract 11x from both sides: -10x + 15 = 55", "Subtract 15 from both sides: -10x = 40", "Divide both sides by -10: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 15 = 11(x + 5)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"d\": 15, \"x\": -4}", "seed": "15061143113220904071", "semantic_fingerprint": "sha256:8b41b1e469698291bd9ea8e042527dee0764b081c35fb79bdf8be72c6c0f9214", "generator_version": "3.0"}
{"id": "v3_val_00005677", "prompt": "What value of x satisfies -9x = x - 740?", "solution_steps": ["Subtract x from both sides: -10x = -740", "Divide both sides by -10: x = 74"], "final_answer": "74", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = x - 740", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 740}", "seed": "4215008215085223368", "semantic_fingerprint": "sha256:a491d98ec54ef74d25b3ec4c3891ee0957c20db9b19a8e956e8f0ae139ae5ac1", "generator_version": "3.0"}
{"id": "v3_val_00005678", "prompt": "Compute: 581 / (-674 + (-320))", "solution_steps": ["Add: -674 + (-320) = -994", "Divide: 581 / (-994) = -83/142"], "final_answer": "-83/142", "answer_type": "rational", "kind": "expression", "math_text": "581 / (-674 + (-320))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 581, \"b\": -674, \"c\": -320}", "seed": "4217515435290789417", "semantic_fingerprint": "sha256:03b42d44a1a796b907ebd7bc1c53d82e965f1ced123f9c72f2ed3dd4f4652bfc", "generator_version": "3.0"}
{"id": "v3_val_00005679", "prompt": "What value of x satisfies 5(x + 14) + 486 = -4x + 520?", "solution_steps": ["Expand: 5x + 70 + 486 = -4x + 520", "Combine constants: 5x + 556 = -4x + 520", "Add 4x to both sides: 9x + 556 = 520", "Subtract 556 from both sides: 9x = -36", "Divide both sides by 9: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 14) + 486 = -4x + 520", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 14, \"c\": 486, \"d\": -4, \"f\": 520, \"x\": -4}", "seed": "3002416027400089023", "semantic_fingerprint": "sha256:b45a47b0c404076bb738c3539b9929a56d69c7a80d60b76f0d3e44d152bbfb58", "generator_version": "3.0"}
{"id": "v3_val_00005680", "prompt": "Solve for x: 5(x - 9) + 3 = -117", "solution_steps": ["Expand: 5x - 45 + 3 = -117", "Combine constants: 5x - 42 = -117", "Add 42 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 - 9) + 3 = -117", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 3, \"e\": -117, \"x\": -15}", "seed": "9437234291450738508", "semantic_fingerprint": "sha256:0e1bad5e6eb49fbd44b50d5e52aa61e4c3a8f24e50961d42e60dc9c3f8d39608", "generator_version": "3.0"}
{"id": "v3_val_00005681", "prompt": "Compute: -69 * (3 + 591) + 75", "solution_steps": ["Add: 3 + 591 = 594", "Multiply: -69 * 594 = -40986", "Add: -40986 + 75 = -40911"], "final_answer": "-40911", "answer_type": "integer", "kind": "expression", "math_text": "-69 * (3 + 591) + 75", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 3, \"c\": 591, \"d\": 75}", "seed": "4663821098000104114", "semantic_fingerprint": "sha256:cd0629ab964bb68054a1b81edb077bd1f669346d2fa6f213d0202fdeef25be5b", "generator_version": "3.0"}
{"id": "v3_val_00005682", "prompt": "Compute: (-75 - 980) / (144 - (56 - 9))", "solution_steps": ["Subtract: -75 - 980 = -1055", "Subtract: 56 - 9 = 47", "Subtract: 144 - 47 = 97", "Divide: -1055 / 97 = -1055/97"], "final_answer": "-1055/97", "answer_type": "rational", "kind": "expression", "math_text": "(-75 - 980) / (144 - (56 - 9))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 980, \"c\": 144, \"d\": 56, \"e\": 9}", "seed": "12180175725204929513", "semantic_fingerprint": "sha256:0e000dde16e3ebab788c23183fea219556f44e94aa876b36a41e1ca2fbe1007e", "generator_version": "3.0"}
{"id": "v3_val_00005683", "prompt": "Compute: (39 - 4) / (-744 / 31)", "solution_steps": ["Subtract: 39 - 4 = 35", "Divide: -744 / 31 = -24", "Divide: 35 / (-24) = -35/24"], "final_answer": "-35/24", "answer_type": "rational", "kind": "expression", "math_text": "(39 - 4) / (-744 / 31)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 4, \"c\": -744, \"d\": 31}", "seed": "2479081335250244723", "semantic_fingerprint": "sha256:4d84e3cd7bd835dd5106abec3990a6c59029bde2a9bb0c263957a5078f6ca62a", "generator_version": "3.0"}
{"id": "v3_val_00005684", "prompt": "Calculate: (-11 + (-275)) * (-5 - 8)", "solution_steps": ["Add: -11 + (-275) = -286", "Subtract: -5 - 8 = -13", "Multiply: -286 * (-13) = 3718"], "final_answer": "3718", "answer_type": "integer", "kind": "expression", "math_text": "(-11 + (-275)) * (-5 - 8)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -275, \"c\": -5, \"d\": 8}", "seed": "2461077049952544434", "semantic_fingerprint": "sha256:8fd4a0342b25e8dd954a6b04fd27e84307555da506861bae6c728b2cd6400962", "generator_version": "3.0"}
{"id": "v3_val_00005685", "prompt": "Find x: 4x + 8 = 57", "solution_steps": ["Subtract 8 from both sides: 4x = 49", "Divide both sides by 4: x = 49/4"], "final_answer": "49/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x + 8 = 57", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 57}", "seed": "1453124225649816396", "semantic_fingerprint": "sha256:ba1ce5df25f5f83e189b08c21e8cf2bb9cf1622f1ff6c1d37a6cc3ff069ac4d2", "generator_version": "3.0"}
{"id": "v3_val_00005686", "prompt": "Find x: -6(x + 3) + 151 = x", "solution_steps": ["Expand: -6x - 18 + 151 = x", "Combine constants: -6x + 133 = x", "Subtract x from both sides: -7x + 133 = 0", "Subtract 133 from both sides: -7x = -133", "Divide both sides by -7: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 3) + 151 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"d\": 151, \"x\": 19}", "seed": "9199910059001706988", "semantic_fingerprint": "sha256:0ac4a34a61650f9e12ef333c5e7a9b7dae4a8af4fff018d0560533bd86631628", "generator_version": "3.0"}
{"id": "v3_val_00005687", "prompt": "Solve for x: 9x - 76 = 12x", "solution_steps": ["Subtract 12x from both sides: -3x - 76 = 0", "Add 76 to both sides: -3x = 76", "Divide both sides by -3: x = -76/3"], "final_answer": "-76/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 76 = 12x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 76, \"c\": 12}", "seed": "16769650144801969342", "semantic_fingerprint": "sha256:2875bf2a5be031796a8d8173b32f1f7fc0e3b7e10d33d1e85d2a3d2ecaa33cd0", "generator_version": "3.0"}
{"id": "v3_val_00005688", "prompt": "Solve for x: 9(x + 89) - 767 = 11(x + 6)", "solution_steps": ["Expand: 9x + 801 - 767 = 11(x + 6)", "Expand: 9x + 801 - 767 = 11x + 66", "Combine constants: 9x + 34 = 11x + 66", "Subtract 11x from both sides: -2x + 34 = 66", "Subtract 34 from both sides: -2x = 32", "Divide both sides by -2: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 89) - 767 = 11(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\": 89, \"c\": 11, \"d\": 6, \"f\": -767, \"x\": -16}", "seed": "17665122676307090020", "semantic_fingerprint": "sha256:9a113eb3817a85bf2ed41ea4209ed42f1c276a4df724b8136c2686aa97cf7fc7", "generator_version": "3.0"}
{"id": "v3_val_00005689", "prompt": "Calculate: 611 + (-7) - (-34) * (-8)", "solution_steps": ["Add: 611 + (-7) = 604", "Multiply: -34 * (-8) = 272", "Subtract: 604 - 272 = 332"], "final_answer": "332", "answer_type": "integer", "kind": "expression", "math_text": "611 + (-7) - (-34) * (-8)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 611, \"b\": -7, \"c\": -34, \"d\": -8}", "seed": "9951150576405816969", "semantic_fingerprint": "sha256:19fb2eff7e6caa752b054a9d8e39ca51a05b5ead63a36607cfb714e9ec5a1c50", "generator_version": "3.0"}
{"id": "v3_val_00005690", "prompt": "Calculate: 1 * (-47 / (6 / (-1)))", "solution_steps": ["Divide: 6 / (-1) = -6", "Divide: -47 / (-6) = 47/6", "Multiply: 1 * (47/6) = 47/6"], "final_answer": "47/6", "answer_type": "rational", "kind": "expression", "math_text": "1 * (-47 / (6 / (-1)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -47, \"c\": 6, \"d\": -1}", "seed": "4138841244730444237", "semantic_fingerprint": "sha256:50e528c50cfa39e832c8cf1783196a22afaa28f5ad11c9da4e34f36a4093664e", "generator_version": "3.0"}
{"id": "v3_val_00005691", "prompt": "Calculate: 95 / (6 - 0) + 7", "solution_steps": ["Subtract: 6 - 0 = 6", "Divide: 95 / 6 = 95/6", "Add: 95/6 + 7 = 137/6"], "final_answer": "137/6", "answer_type": "rational", "kind": "expression", "math_text": "95 / (6 - 0) + 7", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 6, \"c\": 0, \"d\": 7}", "seed": "4729773809744320829", "semantic_fingerprint": "sha256:a2be239a445967f68bdca7c82f400b3552b63e370c0d8acbb99fff359f6328d9", "generator_version": "3.0"}
{"id": "v3_val_00005692", "prompt": "Solve the equation x = -10(x + 69) - 8 for x.", "solution_steps": ["Expand: x = -10x - 690 - 8", "Combine constants: x = -10x - 698", "Add 10x to both sides: 11x = -698", "Divide both sides by 11: x = -698/11"], "final_answer": "-698/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -10(x + 69) - 8", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 69, \"c\": 8}", "seed": "3051200398897322684", "semantic_fingerprint": "sha256:15358db5f7259fe2f8852be050e744b7c5800d5045e8f290926f3de35b835082", "generator_version": "3.0"}
{"id": "v3_val_00005693", "prompt": "Find x: x + 344 = -4x", "solution_steps": ["Add 4x to both sides: 5x + 344 = 0", "Subtract 344 from both sides: 5x = -344", "Divide both sides by 5: x = -344/5"], "final_answer": "-344/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 344 = -4x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 344, \"b\": -4}", "seed": "12033472929284135173", "semantic_fingerprint": "sha256:d4a5147ab62db84a0de2810c47f73736b42f4656158cb27d452568ab145a056e", "generator_version": "3.0"}
{"id": "v3_val_00005694", "prompt": "Solve the equation 2x - 14 = 3(x - 702) - 33 for x.", "solution_steps": ["Expand: 2x - 14 = 3x - 2106 - 33", "Combine constants: 2x - 14 = 3x - 2139", "Subtract 3x from both sides: -x - 14 = -2139", "Add 14 to both sides: -x = -2125", "Divide both sides by -1: x = 2125"], "final_answer": "2125", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 14 = 3(x - 702) - 33", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 14, \"c\": 3, \"d\": 702, \"e\": 33}", "seed": "15368126662172376374", "semantic_fingerprint": "sha256:f7d35a4390ba889670c677a7884fda949faa14a98c222b81481973b5cfde0e57", "generator_version": "3.0"}
{"id": "v3_val_00005695", "prompt": "Compute: -1 - (5 - (-5) - 41)", "solution_steps": ["Subtract: 5 - (-5) = 10", "Subtract: 10 - 41 = -31", "Subtract: -1 - (-31) = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (5 - (-5) - 41)", "variable": null, "family": "expression_3op", "shape": "(- n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 5, \"c\": -5, \"d\": 41}", "seed": "13160241039699626474", "semantic_fingerprint": "sha256:e862956db6c0bc326de0df18d49bbf9a2df6200815c8c6c01399266780251b7f", "generator_version": "3.0"}
{"id": "v3_val_00005696", "prompt": "What is -6 + (2 * 7 / (-4) + (-9) + 71)?", "solution_steps": ["Multiply: 2 * 7 = 14", "Divide: 14 / (-4) = -7/2", "Add: -7/2 + (-9) = -25/2", "Add: -25/2 + 71 = 117/2", "Add: -6 + 117/2 = 105/2"], "final_answer": "105/2", "answer_type": "rational", "kind": "expression", "math_text": "-6 + (2 * 7 / (-4) + (-9) + 71)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ (/ (* n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": 7, \"d\": -4, \"e\": -9, \"f\": 71}", "seed": "2577090959639637427", "semantic_fingerprint": "sha256:25670526abdb537c11592cd64e776fce573e682f99c9170318733dfe470a1c8c", "generator_version": "3.0"}
{"id": "v3_val_00005697", "prompt": "Compute: (-542 - 547) * (-233)", "solution_steps": ["Subtract: -542 - 547 = -1089", "Multiply: -1089 * (-233) = 253737"], "final_answer": "253737", "answer_type": "integer", "kind": "expression", "math_text": "(-542 - 547) * (-233)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -542, \"b\": 547, \"c\": -233}", "seed": "14561376071574225641", "semantic_fingerprint": "sha256:6db4b9b65295f53f1b6c0c1dc40c5cddc5a21a28d2c29ea20ca35147db4ff7ce", "generator_version": "3.0"}
{"id": "v3_val_00005698", "prompt": "Find x: 11(x + 18) - 243 = 4(x + 8)", "solution_steps": ["Expand: 11x + 198 - 243 = 4(x + 8)", "Expand: 11x + 198 - 243 = 4x + 32", "Combine constants: 11x - 45 = 4x + 32", "Subtract 4x from both sides: 7x - 45 = 32", "Add 45 to both sides: 7x = 77", "Divide both sides by 7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 18) - 243 = 4(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\": 18, \"c\": 4, \"d\": 8, \"f\": -243, \"x\": 11}", "seed": "13311750488550567324", "semantic_fingerprint": "sha256:c62103ad6ffa1421bf06fb9e1de0d7e90fa112dda4909c520dee71b7044c3122", "generator_version": "3.0"}
{"id": "v3_val_00005699", "prompt": "Solve for x: -3x + 4 = x", "solution_steps": ["Subtract x from both sides: -4x + 4 = 0", "Subtract 4 from both sides: -4x = -4", "Divide both sides by -4: x = 1"], "final_answer": "1", "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, \"c\": 4, \"x\": 1}", "seed": "2711998045044256228", "semantic_fingerprint": "sha256:b27d4bde12fd9c9aed94ad1a43990edc64800ad76dd0a8b95e4610bb6555e9eb", "generator_version": "3.0"}
{"id": "v3_val_00005700", "prompt": "Evaluate: -1 + (-6) - (-4) / (-2 * (-475))", "solution_steps": ["Add: -1 + (-6) = -7", "Multiply: -2 * (-475) = 950", "Divide: -4 / 950 = -2/475", "Subtract: -7 - (-2/475) = -3323/475"], "final_answer": "-3323/475", "answer_type": "rational", "kind": "expression", "math_text": "-1 + (-6) - (-4) / (-2 * (-475))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -6, \"c\": -4, \"d\": -2, \"e\": -475}", "seed": "13197370004675639777", "semantic_fingerprint": "sha256:f2b1b6ab008fa6c4223f15e4180cd8322352f84398f39ccdd7aa8395bcd28f9d", "generator_version": "3.0"}
{"id": "v3_val_00005701", "prompt": "Compute: 49 - (-33 - (-87)) / (-4)", "solution_steps": ["Subtract: -33 - (-87) = 54", "Divide: 54 / (-4) = -27/2", "Subtract: 49 - (-27/2) = 125/2"], "final_answer": "125/2", "answer_type": "rational", "kind": "expression", "math_text": "49 - (-33 - (-87)) / (-4)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -33, \"c\": -87, \"d\": -4}", "seed": "9796739167150129212", "semantic_fingerprint": "sha256:7445529211e7dc871277ef92d148bfcbeb679ee1c03b9801be2b3d2696c6793e", "generator_version": "3.0"}
{"id": "v3_val_00005702", "prompt": "Compute: 666 + 0 * (-2 / 53)", "solution_steps": ["Divide: -2 / 53 = -2/53", "Multiply: 0 * (-2/53) = 0", "Add: 666 + 0 = 666"], "final_answer": "666", "answer_type": "integer", "kind": "expression", "math_text": "666 + 0 * (-2 / 53)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 666, \"b\": 0, \"c\": -2, \"d\": 53}", "seed": "6239767224676776624", "semantic_fingerprint": "sha256:bac9f51b0bff431aace9e53181e89748b3ff3205b2098ae05cd07b593a0fe957", "generator_version": "3.0"}
{"id": "v3_val_00005703", "prompt": "Evaluate: 670 * (27 + (-2))", "solution_steps": ["Add: 27 + (-2) = 25", "Multiply: 670 * 25 = 16750"], "final_answer": "16750", "answer_type": "integer", "kind": "expression", "math_text": "670 * (27 + (-2))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 670, \"b\": 27, \"c\": -2}", "seed": "11757690366389014896", "semantic_fingerprint": "sha256:05f5084e545afed3b46644fd2af872c3b8d8521aea87679d990e1fde6518621b", "generator_version": "3.0"}
{"id": "v3_val_00005704", "prompt": "Calculate: (-4 + (-3 + 725)) * 8", "solution_steps": ["Add: -3 + 725 = 722", "Add: -4 + 722 = 718", "Multiply: 718 * 8 = 5744"], "final_answer": "5744", "answer_type": "integer", "kind": "expression", "math_text": "(-4 + (-3 + 725)) * 8", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -3, \"c\": 725, \"d\": 8}", "seed": "1230960214697131605", "semantic_fingerprint": "sha256:c7d64f53c57707e8553dfa3ec72682f0cbf18882563a5eec60f640c9c0d1e46c", "generator_version": "3.0"}
{"id": "v3_val_00005705", "prompt": "What is 93 + (-944)?", "solution_steps": ["Add: 93 + (-944) = -851"], "final_answer": "-851", "answer_type": "integer", "kind": "expression", "math_text": "93 + (-944)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -944}", "seed": "3895496526155572917", "semantic_fingerprint": "sha256:3b1d1520aec6045ee7bcf2e358ba130135f43d9811b951fb3a7327cf3f4a60b2", "generator_version": "3.0"}
{"id": "v3_val_00005706", "prompt": "What is 450 / (72 * (-4 - (-801)))?", "solution_steps": ["Subtract: -4 - (-801) = 797", "Multiply: 72 * 797 = 57384", "Divide: 450 / 57384 = 25/3188"], "final_answer": "25/3188", "answer_type": "rational", "kind": "expression", "math_text": "450 / (72 * (-4 - (-801)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 450, \"b\": 72, \"c\": -4, \"d\": -801}", "seed": "4750540865900121576", "semantic_fingerprint": "sha256:bf12f82b27752328950e129a80a5fe65f38ef78f637e296afc46b5c2668c9a5a", "generator_version": "3.0"}
{"id": "v3_val_00005707", "prompt": "Compute: 22 - 0 - 11 / (-657)", "solution_steps": ["Subtract: 22 - 0 = 22", "Divide: 11 / (-657) = -11/657", "Subtract: 22 - (-11/657) = 14465/657"], "final_answer": "14465/657", "answer_type": "rational", "kind": "expression", "math_text": "22 - 0 - 11 / (-657)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 0, \"c\": 11, \"d\": -657}", "seed": "10260455426017325643", "semantic_fingerprint": "sha256:162aebffb2a4e048508272ffe5fde6e709188116a0a513eddc5a919f645561ad", "generator_version": "3.0"}
{"id": "v3_val_00005708", "prompt": "Compute: 85 + (64 + (-416)) / (-78 + (-53))", "solution_steps": ["Add: 64 + (-416) = -352", "Add: -78 + (-53) = -131", "Divide: -352 / (-131) = 352/131", "Add: 85 + 352/131 = 11487/131"], "final_answer": "11487/131", "answer_type": "rational", "kind": "expression", "math_text": "85 + (64 + (-416)) / (-78 + (-53))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 64, \"c\": -416, \"d\": -78, \"e\": -53}", "seed": "13596735902138346244", "semantic_fingerprint": "sha256:25e3f49f1fd67f175c79473dba01ed63f1c323ef72fb0511d43ec532321593be", "generator_version": "3.0"}
{"id": "v3_val_00005709", "prompt": "Compute: 15 + (3 * (-3) + 33)", "solution_steps": ["Multiply: 3 * (-3) = -9", "Add: -9 + 33 = 24", "Add: 15 + 24 = 39"], "final_answer": "39", "answer_type": "integer", "kind": "expression", "math_text": "15 + (3 * (-3) + 33)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 3, \"c\": -3, \"d\": 33}", "seed": "3447563147862511899", "semantic_fingerprint": "sha256:bb7dd256f178b44b188d3c690c7da54e5c27cca9fb448a8e88323220957e4529", "generator_version": "3.0"}
{"id": "v3_val_00005710", "prompt": "Compute: -8 / 89", "solution_steps": ["Divide: -8 / 89 = -8/89"], "final_answer": "-8/89", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 89", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 89}", "seed": "10451255756635424025", "semantic_fingerprint": "sha256:83a44c4f579995bf392635b6cf9126068aa038248e882c3fa9aa9609804293e8", "generator_version": "3.0"}
{"id": "v3_val_00005711", "prompt": "Find x: 6x = 10x - 9", "solution_steps": ["Subtract 10x 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": "6x = 10x - 9", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 10, \"c\": 9}", "seed": "18368147357356373944", "semantic_fingerprint": "sha256:7c3e0d267e3316f1752a8df7c69ef910cd701317fd2688defd5fa583a8e1513e", "generator_version": "3.0"}
{"id": "v3_val_00005712", "prompt": "Compute: -91 * (826 * (-6) * (-1) - (-4))", "solution_steps": ["Multiply: 826 * (-6) = -4956", "Multiply: -4956 * (-1) = 4956", "Subtract: 4956 - (-4) = 4960", "Multiply: -91 * 4960 = -451360"], "final_answer": "-451360", "answer_type": "integer", "kind": "expression", "math_text": "-91 * (826 * (-6) * (-1) - (-4))", "variable": null, "family": "expression_4op", "shape": "(* n (- (* (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 826, \"c\": -6, \"d\": -1, \"e\": -4}", "seed": "15987511223594580274", "semantic_fingerprint": "sha256:bfb8cb4d63fbb7402e40d9ad88be588ae95cdf694ef03c44998374b94e8fe102", "generator_version": "3.0"}
{"id": "v3_val_00005713", "prompt": "What is 2 - (-253)?", "solution_steps": ["Subtract: 2 - (-253) = 255"], "final_answer": "255", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-253)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -253}", "seed": "15313169105307685224", "semantic_fingerprint": "sha256:837235ab54bbdd86878bcb7b910941f9aa7929e8cc1fe42b636ca1579ff85da2", "generator_version": "3.0"}
{"id": "v3_val_00005714", "prompt": "What value of x satisfies 11x + 24 = 8x?", "solution_steps": ["Subtract 8x from both sides: 3x + 24 = 0", "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": "11x + 24 = 8x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"d\": 24, \"x\": -8}", "seed": "9541807686704496026", "semantic_fingerprint": "sha256:63ea204b8f16011fca37aef6cfbd35ef30a7c8fcf879464d571f45b00339bfe7", "generator_version": "3.0"}
{"id": "v3_val_00005715", "prompt": "Evaluate: (242 - 92) / (-146 / (-7))", "solution_steps": ["Subtract: 242 - 92 = 150", "Divide: -146 / (-7) = 146/7", "Divide: 150 / (146/7) = 525/73"], "final_answer": "525/73", "answer_type": "rational", "kind": "expression", "math_text": "(242 - 92) / (-146 / (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 242, \"b\": 92, \"c\": -146, \"d\": -7}", "seed": "2325090595416016941", "semantic_fingerprint": "sha256:e610ba3c2f58f8d209f12428d90e4ae4274fa0960343785d2fe5a4dc7802665f", "generator_version": "3.0"}
{"id": "v3_val_00005716", "prompt": "Evaluate: -6 * 6 * 59", "solution_steps": ["Multiply: -6 * 6 = -36", "Multiply: -36 * 59 = -2124"], "final_answer": "-2124", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 6 * 59", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 59}", "seed": "13539262123414462300", "semantic_fingerprint": "sha256:d55c0baffd80ff7a3378326514a996894366637bef46a80530919b330188b289", "generator_version": "3.0"}
{"id": "v3_val_00005717", "prompt": "What is -34 / (13 * 9 + 12)?", "solution_steps": ["Multiply: 13 * 9 = 117", "Add: 117 + 12 = 129", "Divide: -34 / 129 = -34/129"], "final_answer": "-34/129", "answer_type": "rational", "kind": "expression", "math_text": "-34 / (13 * 9 + 12)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 13, \"c\": 9, \"d\": 12}", "seed": "10037156839745599728", "semantic_fingerprint": "sha256:e061988f525d5321071977e56fa46c3d9c71c43abbe31e3a648425d8963e1eef", "generator_version": "3.0"}
{"id": "v3_val_00005718", "prompt": "Evaluate: -388 * 773", "solution_steps": ["Multiply: -388 * 773 = -299924"], "final_answer": "-299924", "answer_type": "integer", "kind": "expression", "math_text": "-388 * 773", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -388, \"b\": 773}", "seed": "16181231158461708840", "semantic_fingerprint": "sha256:9ecd17c7ab6b63332f0c5df6cfdcc97f972297409785239240ce15adf3ab6490", "generator_version": "3.0"}
{"id": "v3_val_00005719", "prompt": "What is -83 * (7 / 97)?", "solution_steps": ["Divide: 7 / 97 = 7/97", "Multiply: -83 * (7/97) = -581/97"], "final_answer": "-581/97", "answer_type": "rational", "kind": "expression", "math_text": "-83 * (7 / 97)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 7, \"c\": 97}", "seed": "11336623323551339213", "semantic_fingerprint": "sha256:360a118f67f135e660402aeef97bba774d658d4618b1baf393409a1557a82895", "generator_version": "3.0"}
{"id": "v3_val_00005720", "prompt": "Find x: 8(x - 48) - 8 = -10(x + 6) + 56", "solution_steps": ["Expand: 8x - 384 - 8 = -10(x + 6) + 56", "Expand: 8x - 384 - 8 = -10x - 60 + 56", "Combine constants: 8x - 392 = -10x - 60 + 56", "Combine constants: 8x - 392 = -10x - 4", "Add 10x to both sides: 18x - 392 = -4", "Add 392 to both sides: 18x = 388", "Divide both sides by 18: x = 194/9"], "final_answer": "194/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 48) - 8 = -10(x + 6) + 56", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 48, \"c\": 8, \"d\": -10, \"e\": 6, \"f\": 56}", "seed": "719624087392625601", "semantic_fingerprint": "sha256:998d45e947e3fa05ec9b28a07c199420a31bb482b47c39217008808116bd0c3e", "generator_version": "3.0"}
{"id": "v3_val_00005721", "prompt": "What is -6 - (-5) * (-6)?", "solution_steps": ["Multiply: -5 * (-6) = 30", "Subtract: -6 - 30 = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-5) * (-6)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -5, \"c\": -6}", "seed": "6845077926526984004", "semantic_fingerprint": "sha256:4944c0a38bfdb3730249d50ce7dc03c9a44e8ebb9fdf00ea219b2257a8768b27", "generator_version": "3.0"}
{"id": "v3_val_00005722", "prompt": "Calculate: 8 + (-7) - 8", "solution_steps": ["Add: 8 + (-7) = 1", "Subtract: 1 - 8 = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-7) - 8", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -7, \"c\": 8}", "seed": "17204943517559408458", "semantic_fingerprint": "sha256:e40427dc9ad34c4356084bb13a771e9a442cbf91bddba5958aa58eaa1fc08740", "generator_version": "3.0"}
{"id": "v3_val_00005723", "prompt": "Compute: (954 + 929) * 26 + 3", "solution_steps": ["Add: 954 + 929 = 1883", "Multiply: 1883 * 26 = 48958", "Add: 48958 + 3 = 48961"], "final_answer": "48961", "answer_type": "integer", "kind": "expression", "math_text": "(954 + 929) * 26 + 3", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 954, \"b\": 929, \"c\": 26, \"d\": 3}", "seed": "12135347691647894293", "semantic_fingerprint": "sha256:d1d384adf18ca94a16cc03e783c2ebdd39968fe3245ff193e17ff873d32defa6", "generator_version": "3.0"}
{"id": "v3_val_00005724", "prompt": "What is 66 * (-1)?", "solution_steps": ["Multiply: 66 * (-1) = -66"], "final_answer": "-66", "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": "5079717881679002006", "semantic_fingerprint": "sha256:cf9276081c10c5cf2613bcfbc74b6cc591e0532bb6564dfd1866d2e11b968e46", "generator_version": "3.0"}
{"id": "v3_val_00005725", "prompt": "What value of x satisfies x + 154 = 12x?", "solution_steps": ["Subtract 12x from both sides: -11x + 154 = 0", "Subtract 154 from both sides: -11x = -154", "Divide both sides by -11: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 154 = 12x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": 154, \"x\": 14}", "seed": "1752622832055008584", "semantic_fingerprint": "sha256:985e45863d5385b632bafbb615091b26e08769a1a5d283807986cdb556da5da4", "generator_version": "3.0"}
{"id": "v3_val_00005726", "prompt": "Solve the equation 8(x - 270) - 51 = 2(x + 53) + 479 for x.", "solution_steps": ["Expand: 8x - 2160 - 51 = 2(x + 53) + 479", "Expand: 8x - 2160 - 51 = 2x + 106 + 479", "Combine constants: 8x - 2211 = 2x + 106 + 479", "Combine constants: 8x - 2211 = 2x + 585", "Subtract 2x from both sides: 6x - 2211 = 585", "Add 2211 to both sides: 6x = 2796", "Divide both sides by 6: x = 466"], "final_answer": "466", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 270) - 51 = 2(x + 53) + 479", "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\": 51, \"d\": 2, \"e\": 53, \"f\": 479}", "seed": "2902506115256695723", "semantic_fingerprint": "sha256:8b4d9a630b2a89b4f320176955997d54af1f395676b0c4bd521485a8cd6283ad", "generator_version": "3.0"}
{"id": "v3_val_00005727", "prompt": "Calculate: 2 / (-9 - 285)", "solution_steps": ["Subtract: -9 - 285 = -294", "Divide: 2 / (-294) = -1/147"], "final_answer": "-1/147", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-9 - 285)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -9, \"c\": 285}", "seed": "1301576079219608399", "semantic_fingerprint": "sha256:7f324d8a6d78f3712ef33118aeef20cae94c00a460934668d6d6289968a001e3", "generator_version": "3.0"}
{"id": "v3_val_00005728", "prompt": "What is 730 - 496?", "solution_steps": ["Subtract: 730 - 496 = 234"], "final_answer": "234", "answer_type": "integer", "kind": "expression", "math_text": "730 - 496", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 730, \"b\": 496}", "seed": "15238129147909855109", "semantic_fingerprint": "sha256:2009c05185f753c08a3b07a5a4e316935aac747260d2d5bdee5a36e22ea585a5", "generator_version": "3.0"}
{"id": "v3_val_00005729", "prompt": "Evaluate: 5 * (-6) - (-54) * (-83)", "solution_steps": ["Multiply: 5 * (-6) = -30", "Multiply: -54 * (-83) = 4482", "Subtract: -30 - 4482 = -4512"], "final_answer": "-4512", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-6) - (-54) * (-83)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -6, \"c\": -54, \"d\": -83}", "seed": "15012119989940429444", "semantic_fingerprint": "sha256:d59e0410f184e8cdadf0c06c5a3ccd7ad7f14c2fabc91610968cb3bff2be4ef1", "generator_version": "3.0"}
{"id": "v3_val_00005730", "prompt": "Solve the equation -12(x - 5) - 57 = 5x + 139 for x.", "solution_steps": ["Expand: -12x + 60 - 57 = 5x + 139", "Combine constants: -12x + 3 = 5x + 139", "Subtract 5x from both sides: -17x + 3 = 139", "Subtract 3 from both sides: -17x = 136", "Divide both sides by -17: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 5) - 57 = 5x + 139", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 5, \"c\": 57, \"d\": 5, \"f\": 139, \"x\": -8}", "seed": "10958187137139282137", "semantic_fingerprint": "sha256:288a1ddfec63b5d5b2b59b3e42a2dad0c06945aa25b20ad0d9f4320413a6de4e", "generator_version": "3.0"}
{"id": "v3_val_00005731", "prompt": "Calculate: 14 + (-990)", "solution_steps": ["Add: 14 + (-990) = -976"], "final_answer": "-976", "answer_type": "integer", "kind": "expression", "math_text": "14 + (-990)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -990}", "seed": "16311270828139954787", "semantic_fingerprint": "sha256:4e38db590ec9cb4a3837c6e0c03017b399d1e5e65017338cc273ea9d5ff58424", "generator_version": "3.0"}
{"id": "v3_val_00005732", "prompt": "Evaluate: 158 / (-4 / 7) * (-9)", "solution_steps": ["Divide: -4 / 7 = -4/7", "Divide: 158 / (-4/7) = -553/2", "Multiply: (-553/2) * (-9) = 4977/2"], "final_answer": "4977/2", "answer_type": "rational", "kind": "expression", "math_text": "158 / (-4 / 7) * (-9)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 158, \"b\": -4, \"c\": 7, \"d\": -9}", "seed": "7649181583867913877", "semantic_fingerprint": "sha256:d188326751ac00f05918e6f0a14b172e45806399e33d1cfdd8d089852ca35988", "generator_version": "3.0"}
{"id": "v3_val_00005733", "prompt": "Evaluate: -5 - (-876) * (-319) + 320", "solution_steps": ["Multiply: -876 * (-319) = 279444", "Subtract: -5 - 279444 = -279449", "Add: -279449 + 320 = -279129"], "final_answer": "-279129", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-876) * (-319) + 320", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -876, \"c\": -319, \"d\": 320}", "seed": "12527835265854237000", "semantic_fingerprint": "sha256:0926a315c1bb054d67cc3837189473d6fa545b372d7a7e915afd04d6c4a2f425", "generator_version": "3.0"}
{"id": "v3_val_00005734", "prompt": "Evaluate: (-774 + (-84)) / (-28)", "solution_steps": ["Add: -774 + (-84) = -858", "Divide: -858 / (-28) = 429/14"], "final_answer": "429/14", "answer_type": "rational", "kind": "expression", "math_text": "(-774 + (-84)) / (-28)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -774, \"b\": -84, \"c\": -28}", "seed": "3919513600590362528", "semantic_fingerprint": "sha256:345d244ae08097203b81d31d92738de00357123a2e41cf825dc316979f1cd5d5", "generator_version": "3.0"}
{"id": "v3_val_00005735", "prompt": "Evaluate: -988 - (-83) - (-98 - 50)", "solution_steps": ["Subtract: -988 - (-83) = -905", "Subtract: -98 - 50 = -148", "Subtract: -905 - (-148) = -757"], "final_answer": "-757", "answer_type": "integer", "kind": "expression", "math_text": "-988 - (-83) - (-98 - 50)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -988, \"b\": -83, \"c\": -98, \"d\": 50}", "seed": "10548851156866169685", "semantic_fingerprint": "sha256:77126b856ec1c884762cf0d9516986ca93bcea7c6b603182944b3f2aad24f2f1", "generator_version": "3.0"}
{"id": "v3_val_00005736", "prompt": "What is (-8 - 0) * 1 + (-54)?", "solution_steps": ["Subtract: -8 - 0 = -8", "Multiply: -8 * 1 = -8", "Add: -8 + (-54) = -62"], "final_answer": "-62", "answer_type": "integer", "kind": "expression", "math_text": "(-8 - 0) * 1 + (-54)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0, \"c\": 1, \"d\": -54}", "seed": "12075788677075295903", "semantic_fingerprint": "sha256:0407e78346064d0ac5a30cd72d015d5e2fe0cfac7dd58f12efb8cb8c0499e68b", "generator_version": "3.0"}
{"id": "v3_val_00005737", "prompt": "Solve the equation 6(x - 61) - 2 = 3x - 335 for x.", "solution_steps": ["Expand: 6x - 366 - 2 = 3x - 335", "Combine constants: 6x - 368 = 3x - 335", "Subtract 3x from both sides: 3x - 368 = -335", "Add 368 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 - 61) - 2 = 3x - 335", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 61, \"c\": 2, \"d\": 3, \"f\": -335, \"x\": 11}", "seed": "3690322466176161446", "semantic_fingerprint": "sha256:522fd03cbe246cc922fb392d3dfe50b4e8dc3c36d371027f117c3070ae186d0e", "generator_version": "3.0"}
{"id": "v3_val_00005738", "prompt": "What value of x satisfies x + 813 = 799?", "solution_steps": ["Subtract 813 from both sides: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 813 = 799", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 813, \"c\": 799, \"x\": -14}", "seed": "17288422474533272605", "semantic_fingerprint": "sha256:f44d41b12329a7b369668457759c06edad0c79c29bd27628aac294a3393d7a65", "generator_version": "3.0"}
{"id": "v3_val_00005739", "prompt": "Calculate: (649 + 167 - (-26 - (-75)) + (-43)) / 9", "solution_steps": ["Add: 649 + 167 = 816", "Subtract: -26 - (-75) = 49", "Subtract: 816 - 49 = 767", "Add: 767 + (-43) = 724", "Divide: 724 / 9 = 724/9"], "final_answer": "724/9", "answer_type": "rational", "kind": "expression", "math_text": "(649 + 167 - (-26 - (-75)) + (-43)) / 9", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- (+ n n) (- n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 649, \"b\": 167, \"c\": -26, \"d\": -75, \"e\": -43, \"f\": 9}", "seed": "12648655882430121059", "semantic_fingerprint": "sha256:3b0428519853e7e89cb7421f0909017ad28dfc118d24a77aed4075db4a6737c7", "generator_version": "3.0"}
{"id": "v3_val_00005740", "prompt": "Evaluate: 1 * (55 / (-96 * (-7)))", "solution_steps": ["Multiply: -96 * (-7) = 672", "Divide: 55 / 672 = 55/672", "Multiply: 1 * (55/672) = 55/672"], "final_answer": "55/672", "answer_type": "rational", "kind": "expression", "math_text": "1 * (55 / (-96 * (-7)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 55, \"c\": -96, \"d\": -7}", "seed": "4039587832924968710", "semantic_fingerprint": "sha256:345f5319f06c641f845a2ab4b4c3d86727bd6d3aaac2371a0b42e8bfbd3ecac8", "generator_version": "3.0"}
{"id": "v3_val_00005741", "prompt": "What value of x satisfies -5(x + 9) - 93 = 11(x + 160) - 87?", "solution_steps": ["Expand: -5x - 45 - 93 = 11(x + 160) - 87", "Expand: -5x - 45 - 93 = 11x + 1760 - 87", "Combine constants: -5x - 138 = 11x + 1760 - 87", "Combine constants: -5x - 138 = 11x + 1673", "Subtract 11x from both sides: -16x - 138 = 1673", "Add 138 to both sides: -16x = 1811", "Divide both sides by -16: x = -1811/16"], "final_answer": "-1811/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 9) - 93 = 11(x + 160) - 87", "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\": 93, \"d\": 11, \"e\": 160, \"f\": 87}", "seed": "9276086145709778941", "semantic_fingerprint": "sha256:ec72cb73eb469fa4478b19b2ebf8f371ba67b319e96cd4e647000408b55ae196", "generator_version": "3.0"}
{"id": "v3_val_00005742", "prompt": "Solve for x: x - 9 = 9(x + 2)", "solution_steps": ["Expand: x - 9 = 9x + 18", "Subtract 9x from both sides: -8x - 9 = 18", "Add 9 to both sides: -8x = 27", "Divide both sides by -8: x = -27/8"], "final_answer": "-27/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9 = 9(x + 2)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 2}", "seed": "13714375933668998664", "semantic_fingerprint": "sha256:08539527c11d02904d8d07b60a615de120c907c0d0af1a44ceaa45d5b265ff0f", "generator_version": "3.0"}
{"id": "v3_val_00005743", "prompt": "Solve for x: -9x = x + 702", "solution_steps": ["Subtract x from both sides: -10x = 702", "Divide both sides by -10: x = -351/5"], "final_answer": "-351/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x = x + 702", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 702}", "seed": "18250334208918430146", "semantic_fingerprint": "sha256:f9133cf5ad0936bbd3e153c09245a2f7ca0e6f217eecbd52925865b6b5d6b8f5", "generator_version": "3.0"}
{"id": "v3_val_00005744", "prompt": "What is (-6 + (-92)) / (-5) / (-30)?", "solution_steps": ["Add: -6 + (-92) = -98", "Divide: -98 / (-5) = 98/5", "Divide: (98/5) / (-30) = -49/75"], "final_answer": "-49/75", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (-92)) / (-5) / (-30)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -92, \"c\": -5, \"d\": -30}", "seed": "16327875149519680806", "semantic_fingerprint": "sha256:951f5b45ff38477058547a531cc0fef310b15a7734eaefe98b50037195350f93", "generator_version": "3.0"}
{"id": "v3_val_00005745", "prompt": "What value of x satisfies -4(x + 54) = 2(x + 222)?", "solution_steps": ["Expand: -4x - 216 = 2(x + 222)", "Expand: -4x - 216 = 2x + 444", "Subtract 2x from both sides: -6x - 216 = 444", "Add 216 to both sides: -6x = 660", "Divide both sides by -6: x = -110"], "final_answer": "-110", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 54) = 2(x + 222)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 54, \"c\": 2, \"d\": 222}", "seed": "5495241523517796105", "semantic_fingerprint": "sha256:ac072ea61e1541476e3b7490313b6f665e568b09cc53095107fbd0a044802584", "generator_version": "3.0"}
{"id": "v3_val_00005746", "prompt": "What is 8 * (3 + (-737 - (-6)))?", "solution_steps": ["Subtract: -737 - (-6) = -731", "Add: 3 + (-731) = -728", "Multiply: 8 * (-728) = -5824"], "final_answer": "-5824", "answer_type": "integer", "kind": "expression", "math_text": "8 * (3 + (-737 - (-6)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": -737, \"d\": -6}", "seed": "11036658572126425853", "semantic_fingerprint": "sha256:7077c6195893da69ca10281670b7c4d1f7bc81167bd8fc4d0c11b363740161fc", "generator_version": "3.0"}
{"id": "v3_val_00005747", "prompt": "Evaluate: (778 + 5) / 5", "solution_steps": ["Add: 778 + 5 = 783", "Divide: 783 / 5 = 783/5"], "final_answer": "783/5", "answer_type": "rational", "kind": "expression", "math_text": "(778 + 5) / 5", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 778, \"b\": 5, \"c\": 5}", "seed": "7170219138915863381", "semantic_fingerprint": "sha256:f6467b1857e78cd4b69e52f911b7da37c67b7a94c4e175815564722b0357dc4f", "generator_version": "3.0"}
{"id": "v3_val_00005748", "prompt": "Compute: 96 / (-3) / (8 / 17)", "solution_steps": ["Divide: 96 / (-3) = -32", "Divide: 8 / 17 = 8/17", "Divide: -32 / (8/17) = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "expression", "math_text": "96 / (-3) / (8 / 17)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -3, \"c\": 8, \"d\": 17}", "seed": "9339843104418325221", "semantic_fingerprint": "sha256:e4681a63b2798d370cdf5f5f81b1f662b6b164ddc66016b3ef51c5d14e899ae9", "generator_version": "3.0"}
{"id": "v3_val_00005749", "prompt": "Evaluate: 31 - (5 / 3 + (-801 - 3))", "solution_steps": ["Divide: 5 / 3 = 5/3", "Subtract: -801 - 3 = -804", "Add: 5/3 + (-804) = -2407/3", "Subtract: 31 - (-2407/3) = 2500/3"], "final_answer": "2500/3", "answer_type": "rational", "kind": "expression", "math_text": "31 - (5 / 3 + (-801 - 3))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 5, \"c\": 3, \"d\": -801, \"e\": 3}", "seed": "1585070130617781884", "semantic_fingerprint": "sha256:cf027ce575a755007f816defc5929a000ffa416b364eddf25e8d78fca5cd4217", "generator_version": "3.0"}
{"id": "v3_val_00005750", "prompt": "Compute: -37 + (75 - (-896))", "solution_steps": ["Subtract: 75 - (-896) = 971", "Add: -37 + 971 = 934"], "final_answer": "934", "answer_type": "integer", "kind": "expression", "math_text": "-37 + (75 - (-896))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": 75, \"c\": -896}", "seed": "5789668447751276941", "semantic_fingerprint": "sha256:a77432466712237af686f2e94545d2a8bc086f43f5fc9205cf0c3bfd6c4f3b43", "generator_version": "3.0"}
{"id": "v3_val_00005751", "prompt": "Calculate: -3 / 7 - 0", "solution_steps": ["Divide: -3 / 7 = -3/7", "Subtract: -3/7 - 0 = -3/7"], "final_answer": "-3/7", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 7 - 0", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"c\": 0}", "seed": "2494782714161468755", "semantic_fingerprint": "sha256:d50e85910148c98eeec4620682833f476c0d79e28601608ac4bece7337319455", "generator_version": "3.0"}
{"id": "v3_val_00005752", "prompt": "Compute: 0 - (-1) - 495", "solution_steps": ["Subtract: 0 - (-1) = 1", "Subtract: 1 - 495 = -494"], "final_answer": "-494", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-1) - 495", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": 495}", "seed": "3167985546142356237", "semantic_fingerprint": "sha256:5206da4ea9b170500d5437245a89425c4b76da1fd7bed6a95a43abb7dbff0785", "generator_version": "3.0"}
{"id": "v3_val_00005753", "prompt": "Compute: -20 * (-242 / (-231)) - 8 / 145", "solution_steps": ["Divide: -242 / (-231) = 22/21", "Multiply: -20 * (22/21) = -440/21", "Divide: 8 / 145 = 8/145", "Subtract: -440/21 - 8/145 = -63968/3045"], "final_answer": "-63968/3045", "answer_type": "rational", "kind": "expression", "math_text": "-20 * (-242 / (-231)) - 8 / 145", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -242, \"c\": -231, \"d\": 8, \"e\": 145}", "seed": "1729238072597857362", "semantic_fingerprint": "sha256:8af53cbf8e3226feadcc3d954a2b32061a666596af916b1e038ae007dd44df83", "generator_version": "3.0"}
{"id": "v3_val_00005754", "prompt": "Calculate: -4 * (160 * (-29))", "solution_steps": ["Multiply: 160 * (-29) = -4640", "Multiply: -4 * (-4640) = 18560"], "final_answer": "18560", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (160 * (-29))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 160, \"c\": -29}", "seed": "11415420776552645684", "semantic_fingerprint": "sha256:982dd7b9224e5e341df270e5818b7ab5d7ddcc64ddbd6e0ef7902928aeee4133", "generator_version": "3.0"}
{"id": "v3_val_00005755", "prompt": "Compute: -692 / (957 - 23)", "solution_steps": ["Subtract: 957 - 23 = 934", "Divide: -692 / 934 = -346/467"], "final_answer": "-346/467", "answer_type": "rational", "kind": "expression", "math_text": "-692 / (957 - 23)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -692, \"b\": 957, \"c\": 23}", "seed": "14877024656998744149", "semantic_fingerprint": "sha256:b54c4daf95fcb6f82aaa929ce225dca4858b1453c4222b2799970b925830fe1d", "generator_version": "3.0"}
{"id": "v3_val_00005756", "prompt": "What is ((-17 - (-4)) * 17 + (-210)) * 8?", "solution_steps": ["Subtract: -17 - (-4) = -13", "Multiply: -13 * 17 = -221", "Add: -221 + (-210) = -431", "Multiply: -431 * 8 = -3448"], "final_answer": "-3448", "answer_type": "integer", "kind": "expression", "math_text": "((-17 - (-4)) * 17 + (-210)) * 8", "variable": null, "family": "expression_4op", "shape": "(* (+ (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -4, \"c\": 17, \"d\": -210, \"e\": 8}", "seed": "5967563158614450359", "semantic_fingerprint": "sha256:67316ba9558e068d5b78905009c3a7435c5ee02cb7d901eca074fdc6bbf14d7f", "generator_version": "3.0"}
{"id": "v3_val_00005757", "prompt": "Evaluate: -17 * (583 - 8) * 18", "solution_steps": ["Subtract: 583 - 8 = 575", "Multiply: -17 * 575 = -9775", "Multiply: -9775 * 18 = -175950"], "final_answer": "-175950", "answer_type": "integer", "kind": "expression", "math_text": "-17 * (583 - 8) * 18", "variable": null, "family": "expression_3op", "shape": "(* (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 583, \"c\": 8, \"d\": 18}", "seed": "6923815289633938282", "semantic_fingerprint": "sha256:9b8a8508ba8255fd75b5b7ffafdfce02387285002de01c4f038e1ed095b0d714", "generator_version": "3.0"}
{"id": "v3_val_00005758", "prompt": "Calculate: -6 / (2 * 13) / (-4)", "solution_steps": ["Multiply: 2 * 13 = 26", "Divide: -6 / 26 = -3/13", "Divide: (-3/13) / (-4) = 3/52"], "final_answer": "3/52", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (2 * 13) / (-4)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": 13, \"d\": -4}", "seed": "12715765063158415287", "semantic_fingerprint": "sha256:d57c94717d76ef8a45ad0c422b524a69242a8dc1c71b0560c43135d0af8b2310", "generator_version": "3.0"}
{"id": "v3_val_00005759", "prompt": "Compute: 6 - 24 * (-20) + (-962) / (43 - (-49))", "solution_steps": ["Multiply: 24 * (-20) = -480", "Subtract: 6 - (-480) = 486", "Subtract: 43 - (-49) = 92", "Divide: -962 / 92 = -481/46", "Add: 486 + (-481/46) = 21875/46"], "final_answer": "21875/46", "answer_type": "rational", "kind": "expression", "math_text": "6 - 24 * (-20) + (-962) / (43 - (-49))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (* n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 24, \"c\": -20, \"d\": -962, \"e\": 43, \"f\": -49}", "seed": "15577014378522522789", "semantic_fingerprint": "sha256:14a919b9a88687da7470fc58193b3e330587f9da0e937f92b9b37bbde0cd431d", "generator_version": "3.0"}
{"id": "v3_val_00005760", "prompt": "What value of x satisfies x = -5(x + 1) - 97?", "solution_steps": ["Expand: x = -5x - 5 - 97", "Combine constants: x = -5x - 102", "Add 5x to both sides: 6x = -102", "Divide both sides by 6: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -5(x + 1) - 97", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"d\": -97, \"x\": -17}", "seed": "5676692709206677541", "semantic_fingerprint": "sha256:682e4f6e4fe823fcc568d8e87a9b1dfdaa306ca9a72521f32781f46961a4cf12", "generator_version": "3.0"}
{"id": "v3_val_00005761", "prompt": "Calculate: (83 - (9 + 381)) / 299 * (57 * (-3))", "solution_steps": ["Add: 9 + 381 = 390", "Subtract: 83 - 390 = -307", "Divide: -307 / 299 = -307/299", "Multiply: 57 * (-3) = -171", "Multiply: (-307/299) * (-171) = 52497/299"], "final_answer": "52497/299", "answer_type": "rational", "kind": "expression", "math_text": "(83 - (9 + 381)) / 299 * (57 * (-3))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n (+ n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 9, \"c\": 381, \"d\": 299, \"e\": 57, \"f\": -3}", "seed": "2641447883805712036", "semantic_fingerprint": "sha256:c17eaa60d83e65956068f9b6187ff27cd67542881e5b7e24b00a292b7e8bd0bf", "generator_version": "3.0"}
{"id": "v3_val_00005762", "prompt": "What is (327 + 902) * (-93 + (-9)) - 5?", "solution_steps": ["Add: 327 + 902 = 1229", "Add: -93 + (-9) = -102", "Multiply: 1229 * (-102) = -125358", "Subtract: -125358 - 5 = -125363"], "final_answer": "-125363", "answer_type": "integer", "kind": "expression", "math_text": "(327 + 902) * (-93 + (-9)) - 5", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 327, \"b\": 902, \"c\": -93, \"d\": -9, \"e\": 5}", "seed": "6244689136478864016", "semantic_fingerprint": "sha256:076d86c7442b382fd6b6a5be6fc6871adf04875fb8096dec902f1d1a4a3b3c45", "generator_version": "3.0"}
{"id": "v3_val_00005763", "prompt": "Find x: x = 8x + 2", "solution_steps": ["Subtract 8x from 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 = 8x + 2", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2}", "seed": "8113277226435043986", "semantic_fingerprint": "sha256:bd3fac9b1aba42675eeb4da4742433b1390c1785f2db24390cbdbd959d1a8a10", "generator_version": "3.0"}
{"id": "v3_val_00005764", "prompt": "Evaluate: 1 - 250 - (-5)", "solution_steps": ["Subtract: 1 - 250 = -249", "Subtract: -249 - (-5) = -244"], "final_answer": "-244", "answer_type": "integer", "kind": "expression", "math_text": "1 - 250 - (-5)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 250, \"c\": -5}", "seed": "5034137317055738516", "semantic_fingerprint": "sha256:07be2b1b4605ed2596e12740afc64e7647a9dfc0cd3c2e432a8ea434a430041c", "generator_version": "3.0"}
{"id": "v3_val_00005765", "prompt": "Evaluate: (66 + 45) / (-83 + 4 - (-144))", "solution_steps": ["Add: 66 + 45 = 111", "Add: -83 + 4 = -79", "Subtract: -79 - (-144) = 65", "Divide: 111 / 65 = 111/65"], "final_answer": "111/65", "answer_type": "rational", "kind": "expression", "math_text": "(66 + 45) / (-83 + 4 - (-144))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 45, \"c\": -83, \"d\": 4, \"e\": -144}", "seed": "8993469341471227730", "semantic_fingerprint": "sha256:30a0b07e6b4a5694d2ac6601603b62b3def151d5d022378f168afa299f1d2560", "generator_version": "3.0"}
{"id": "v3_val_00005766", "prompt": "Compute: -531 * 23 + 5 - 407 * 6", "solution_steps": ["Multiply: -531 * 23 = -12213", "Add: -12213 + 5 = -12208", "Multiply: 407 * 6 = 2442", "Subtract: -12208 - 2442 = -14650"], "final_answer": "-14650", "answer_type": "integer", "kind": "expression", "math_text": "-531 * 23 + 5 - 407 * 6", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -531, \"b\": 23, \"c\": 5, \"d\": 407, \"e\": 6}", "seed": "8798977355934571667", "semantic_fingerprint": "sha256:324e0848e3b9278c35c72342a9c382f512980264b3cb5d12109976518744c983", "generator_version": "3.0"}
{"id": "v3_val_00005767", "prompt": "Calculate: -28 * (553 / (-7)) / 2", "solution_steps": ["Divide: 553 / (-7) = -79", "Multiply: -28 * (-79) = 2212", "Divide: 2212 / 2 = 1106"], "final_answer": "1106", "answer_type": "integer", "kind": "expression", "math_text": "-28 * (553 / (-7)) / 2", "variable": null, "family": "expression_3op", "shape": "(/ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 553, \"c\": -7, \"d\": 2}", "seed": "4614252436036920074", "semantic_fingerprint": "sha256:db5378466512c5ea45fe3da7ff340a48b861c100fea68b99cadde62e367f041f", "generator_version": "3.0"}
{"id": "v3_val_00005768", "prompt": "Compute: -749 + (-1) + (-202 - 8)", "solution_steps": ["Add: -749 + (-1) = -750", "Subtract: -202 - 8 = -210", "Add: -750 + (-210) = -960"], "final_answer": "-960", "answer_type": "integer", "kind": "expression", "math_text": "-749 + (-1) + (-202 - 8)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -749, \"b\": -1, \"c\": -202, \"d\": 8}", "seed": "13785871440613126686", "semantic_fingerprint": "sha256:f240a40ec660f2bb0968dbbcebb1de625c3392a8815aca9c3e59e63a13bf4288", "generator_version": "3.0"}
{"id": "v3_val_00005769", "prompt": "What is (3 + 8) / (-6 - (-53) / 6) * 7?", "solution_steps": ["Add: 3 + 8 = 11", "Divide: -53 / 6 = -53/6", "Subtract: -6 - (-53/6) = 17/6", "Divide: 11 / (17/6) = 66/17", "Multiply: (66/17) * 7 = 462/17"], "final_answer": "462/17", "answer_type": "rational", "kind": "expression", "math_text": "(3 + 8) / (-6 - (-53) / 6) * 7", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) (- n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": -6, \"d\": -53, \"e\": 6, \"f\": 7}", "seed": "5425600893036113", "semantic_fingerprint": "sha256:1b31cd9fe3c8b9e4fb2ecee99850a81a894a52b461f01746ab854433752b5c6e", "generator_version": "3.0"}
{"id": "v3_val_00005770", "prompt": "Find x: x - 980 = -12(x - 70)", "solution_steps": ["Expand: x - 980 = -12x + 840", "Add 12x to both sides: 13x - 980 = 840", "Add 980 to both sides: 13x = 1820", "Divide both sides by 13: x = 140"], "final_answer": "140", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 980 = -12(x - 70)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 980, \"b\": -12, \"c\": 70}", "seed": "4419218106439929683", "semantic_fingerprint": "sha256:465e6b556f29ed257ad9cc1dc590daee5b569d63193482a4ca08e132da137e3c", "generator_version": "3.0"}
{"id": "v3_val_00005771", "prompt": "Compute: -6 + (-9) * 0", "solution_steps": ["Multiply: -9 * 0 = 0", "Add: -6 + 0 = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-9) * 0", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -9, \"c\": 0}", "seed": "7756365027762574465", "semantic_fingerprint": "sha256:d429ac961c2dc944c3d66eae026bdfe654627361b92b8af992d632202002f393", "generator_version": "3.0"}
{"id": "v3_val_00005772", "prompt": "Find x: 12(x - 72) = 622", "solution_steps": ["Expand: 12x - 864 = 622", "Add 864 to both sides: 12x = 1486", "Divide both sides by 12: x = 743/6"], "final_answer": "743/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 72) = 622", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 72, \"c\": 622}", "seed": "17510842091341900484", "semantic_fingerprint": "sha256:c83687758b09812cff475b583beb8a8fcdce74fd5ee7eba05d8748d3b0e05e21", "generator_version": "3.0"}
{"id": "v3_val_00005773", "prompt": "Find x: 5(x - 84) = -8(x - 23) - 682", "solution_steps": ["Expand: 5x - 420 = -8(x - 23) - 682", "Expand: 5x - 420 = -8x + 184 - 682", "Combine constants: 5x - 420 = -8x - 498", "Add 8x to both sides: 13x - 420 = -498", "Add 420 to both sides: 13x = -78", "Divide both sides by 13: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 84) = -8(x - 23) - 682", "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\": -8, \"d\": 23, \"f\": -682, \"x\": -6}", "seed": "310647225711842566", "semantic_fingerprint": "sha256:0dea2a3bc46cd4205c79c7f9c5fe0d6ba4b850e6caf2a27aa32fe9260233090c", "generator_version": "3.0"}
{"id": "v3_val_00005774", "prompt": "Solve for x: x - 18 = 11x + 132", "solution_steps": ["Subtract 11x from both sides: -10x - 18 = 132", "Add 18 to both sides: -10x = 150", "Divide both sides by -10: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 18 = 11x + 132", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 11, \"d\": 132, \"x\": -15}", "seed": "15721229154327410297", "semantic_fingerprint": "sha256:bf7ff4a9523d7e17ffb3beac0eb7ccc5d5871b39addacd3d4aa63e4d351a5b95", "generator_version": "3.0"}
{"id": "v3_val_00005775", "prompt": "Compute: 81 / 322", "solution_steps": ["Divide: 81 / 322 = 81/322"], "final_answer": "81/322", "answer_type": "rational", "kind": "expression", "math_text": "81 / 322", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 322}", "seed": "2220587481403661480", "semantic_fingerprint": "sha256:fa46882606d8262d6d91bf2d8626bdce4b6e445aaa2095ae801d628c8d02a071", "generator_version": "3.0"}
{"id": "v3_val_00005776", "prompt": "Find x: x = 11(x + 53) - 7", "solution_steps": ["Expand: x = 11x + 583 - 7", "Combine constants: x = 11x + 576", "Subtract 11x from both sides: -10x = 576", "Divide both sides by -10: x = -288/5"], "final_answer": "-288/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11(x + 53) - 7", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 53, \"c\": 7}", "seed": "8191715948850048674", "semantic_fingerprint": "sha256:a99e63a4886754f69e1173aec942819ef19db810cd4dd7f31e819bb37a642378", "generator_version": "3.0"}
{"id": "v3_val_00005777", "prompt": "Calculate: 581 / (-30) * (-138) / 6", "solution_steps": ["Divide: 581 / (-30) = -581/30", "Multiply: (-581/30) * (-138) = 13363/5", "Divide: (13363/5) / 6 = 13363/30"], "final_answer": "13363/30", "answer_type": "rational", "kind": "expression", "math_text": "581 / (-30) * (-138) / 6", "variable": null, "family": "expression_3op", "shape": "(/ (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 581, \"b\": -30, \"c\": -138, \"d\": 6}", "seed": "360636958734878988", "semantic_fingerprint": "sha256:b935b846b57a90d68e5d66ea75f9c6df2173c1ca0ffff2fca87e600dd5c165f9", "generator_version": "3.0"}
{"id": "v3_val_00005778", "prompt": "Evaluate: 26 + (0 - 119)", "solution_steps": ["Subtract: 0 - 119 = -119", "Add: 26 + (-119) = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "expression", "math_text": "26 + (0 - 119)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 0, \"c\": 119}", "seed": "14361443645308228602", "semantic_fingerprint": "sha256:4e384ec345ef0e0de756c98f5ac0834b6a8a09407ab0a82876d576d6d1c0af59", "generator_version": "3.0"}
{"id": "v3_val_00005779", "prompt": "Compute: -81 * (85 * (32 - 7 / (-2)))", "solution_steps": ["Divide: 7 / (-2) = -7/2", "Subtract: 32 - (-7/2) = 71/2", "Multiply: 85 * (71/2) = 6035/2", "Multiply: -81 * (6035/2) = -488835/2"], "final_answer": "-488835/2", "answer_type": "rational", "kind": "expression", "math_text": "-81 * (85 * (32 - 7 / (-2)))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 85, \"c\": 32, \"d\": 7, \"e\": -2}", "seed": "14563332188407865369", "semantic_fingerprint": "sha256:b0a9b845c589ff0660d2c270a830f8704299ccfdb44bd86ebfe54759da6df3e5", "generator_version": "3.0"}
{"id": "v3_val_00005780", "prompt": "What is (-19 + (-8)) / 309?", "solution_steps": ["Add: -19 + (-8) = -27", "Divide: -27 / 309 = -9/103"], "final_answer": "-9/103", "answer_type": "rational", "kind": "expression", "math_text": "(-19 + (-8)) / 309", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -8, \"c\": 309}", "seed": "17342328566692327185", "semantic_fingerprint": "sha256:2a12a18d94a697fbfed0357d026b2955cae086bb49bfd212d71a8d8b8719eba0", "generator_version": "3.0"}
{"id": "v3_val_00005781", "prompt": "Solve the equation x - 19 = -23 for x.", "solution_steps": ["Add 19 to both sides: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 19 = -23", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 19, \"c\": -23, \"x\": -4}", "seed": "15485680072961247401", "semantic_fingerprint": "sha256:53e7e186a05edbdff19ae7196a6ae8d8d5eccc799c1fab882ffb37cd6fb16d5a", "generator_version": "3.0"}
{"id": "v3_val_00005782", "prompt": "Evaluate: (-655 + 115) / 5 + (-54 + 63)", "solution_steps": ["Add: -655 + 115 = -540", "Divide: -540 / 5 = -108", "Add: -54 + 63 = 9", "Add: -108 + 9 = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "expression", "math_text": "(-655 + 115) / 5 + (-54 + 63)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -655, \"b\": 115, \"c\": 5, \"d\": -54, \"e\": 63}", "seed": "15091067416303971416", "semantic_fingerprint": "sha256:4519f1042cb456da10e336ec0442edddf54c2052351541d23c3745986e567ee4", "generator_version": "3.0"}
{"id": "v3_val_00005783", "prompt": "Compute: 0 - 532 - (-5 - 583)", "solution_steps": ["Subtract: 0 - 532 = -532", "Subtract: -5 - 583 = -588", "Subtract: -532 - (-588) = 56"], "final_answer": "56", "answer_type": "integer", "kind": "expression", "math_text": "0 - 532 - (-5 - 583)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 532, \"c\": -5, \"d\": 583}", "seed": "12900183409139356268", "semantic_fingerprint": "sha256:4d214208d80d4320d150a039ffafef384c026ec0a4fb181397aea3a0eb334d29", "generator_version": "3.0"}
{"id": "v3_val_00005784", "prompt": "What value of x satisfies x + 393 = 6x + 388?", "solution_steps": ["Subtract 6x from both sides: -5x + 393 = 388", "Subtract 393 from both sides: -5x = -5", "Divide both sides by -5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 393 = 6x + 388", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 393, \"b\": 6, \"d\": 388, \"x\": 1}", "seed": "9602982660883968245", "semantic_fingerprint": "sha256:2226ecf21fac1ec11c169612d0049a83fe3997b1ef5281211141db1afab5d8c4", "generator_version": "3.0"}
{"id": "v3_val_00005785", "prompt": "Find x: 4x - 8 = -11x + 172", "solution_steps": ["Add 11x to both sides: 15x - 8 = 172", "Add 8 to both sides: 15x = 180", "Divide both sides by 15: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 8 = -11x + 172", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": -11, \"e\": 172, \"x\": 12}", "seed": "1540604828791100762", "semantic_fingerprint": "sha256:d225c5ff334a490d4feab4b222c40826aeb20f06805677507bb202b0d2f02a17", "generator_version": "3.0"}
{"id": "v3_val_00005786", "prompt": "Find x: 8x = 9(x - 36) + 99", "solution_steps": ["Expand: 8x = 9x - 324 + 99", "Combine constants: 8x = 9x - 225", "Subtract 9x from both sides: -x = -225", "Divide both sides by -1: x = 225"], "final_answer": "225", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 9(x - 36) + 99", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 36, \"d\": 99}", "seed": "12612275722776805126", "semantic_fingerprint": "sha256:a3d7303ddf764d84c2d426b002324e5457454974f4797d3cb728025b8e516467", "generator_version": "3.0"}
{"id": "v3_val_00005787", "prompt": "Evaluate: 48 - (80 * 5 - 138)", "solution_steps": ["Multiply: 80 * 5 = 400", "Subtract: 400 - 138 = 262", "Subtract: 48 - 262 = -214"], "final_answer": "-214", "answer_type": "integer", "kind": "expression", "math_text": "48 - (80 * 5 - 138)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 80, \"c\": 5, \"d\": 138}", "seed": "16127367739025683993", "semantic_fingerprint": "sha256:393eb62829268b21b33582e431d56ec12f47a581069723cf3ec7e848c0ebf7e0", "generator_version": "3.0"}
{"id": "v3_val_00005788", "prompt": "Calculate: 2 + (6 - 0)", "solution_steps": ["Subtract: 6 - 0 = 6", "Add: 2 + 6 = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "2 + (6 - 0)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 0}", "seed": "10894408541197570916", "semantic_fingerprint": "sha256:b08a72ee8c6bd7d949ae60c96493266840df750ec9bb15a65bd74c09c607b263", "generator_version": "3.0"}
{"id": "v3_val_00005789", "prompt": "What is 51 - (-86) * 7?", "solution_steps": ["Multiply: -86 * 7 = -602", "Subtract: 51 - (-602) = 653"], "final_answer": "653", "answer_type": "integer", "kind": "expression", "math_text": "51 - (-86) * 7", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -86, \"c\": 7}", "seed": "8034405626969414787", "semantic_fingerprint": "sha256:42faf3e1fcaac07fb5f72e07eb9476f8af349abe2a69c9f4672095d867dbad09", "generator_version": "3.0"}
{"id": "v3_val_00005790", "prompt": "Compute: -2 - 92 + (-29 - 692)", "solution_steps": ["Subtract: -2 - 92 = -94", "Subtract: -29 - 692 = -721", "Add: -94 + (-721) = -815"], "final_answer": "-815", "answer_type": "integer", "kind": "expression", "math_text": "-2 - 92 + (-29 - 692)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 92, \"c\": -29, \"d\": 692}", "seed": "11533815295156161128", "semantic_fingerprint": "sha256:8e0f6ecb35d4d2dd1906f814efa1ebbb5a6d38a60a7ead5b28936def23d6944d", "generator_version": "3.0"}
{"id": "v3_val_00005791", "prompt": "Find x: x + 160 = 11x", "solution_steps": ["Subtract 11x from both sides: -10x + 160 = 0", "Subtract 160 from both sides: -10x = -160", "Divide both sides by -10: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 160 = 11x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 160, \"x\": 16}", "seed": "16937994238713327243", "semantic_fingerprint": "sha256:eceff180bd287616d2548e8257b52f985ef0532e27ba38d659a574e049856f85", "generator_version": "3.0"}
{"id": "v3_val_00005792", "prompt": "Compute: 843 + 61 - 96 * 521", "solution_steps": ["Add: 843 + 61 = 904", "Multiply: 96 * 521 = 50016", "Subtract: 904 - 50016 = -49112"], "final_answer": "-49112", "answer_type": "integer", "kind": "expression", "math_text": "843 + 61 - 96 * 521", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 843, \"b\": 61, \"c\": 96, \"d\": 521}", "seed": "3264340476187591340", "semantic_fingerprint": "sha256:b715f39c4f9476b65c887bcf1a661ee6b2eb235604fee16625cdd7e31e763a19", "generator_version": "3.0"}
{"id": "v3_val_00005793", "prompt": "Solve the equation x = 9(x - 6) - 3 for x.", "solution_steps": ["Expand: x = 9x - 54 - 3", "Combine constants: x = 9x - 57", "Subtract 9x from both sides: -8x = -57", "Divide both sides by -8: x = 57/8"], "final_answer": "57/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 9(x - 6) - 3", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 3}", "seed": "3222014840277494955", "semantic_fingerprint": "sha256:c89b61afe3ad2ec1b6c2bfa5c83b6960248c892d6460b70b8b1a5d16144d67ad", "generator_version": "3.0"}
{"id": "v3_val_00005794", "prompt": "Solve the equation 5(x + 7) + 2 = -48 for x.", "solution_steps": ["Expand: 5x + 35 + 2 = -48", "Combine constants: 5x + 37 = -48", "Subtract 37 from both sides: 5x = -85", "Divide both sides by 5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 7) + 2 = -48", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 2, \"e\": -48, \"x\": -17}", "seed": "18156843253211989400", "semantic_fingerprint": "sha256:118a901f292c415ce1649943022cf6cb42758785f99ff5552aaf912cdb71bcfa", "generator_version": "3.0"}
{"id": "v3_val_00005795", "prompt": "Evaluate: 5 / ((-36 + 6) / 1)", "solution_steps": ["Add: -36 + 6 = -30", "Divide: -30 / 1 = -30", "Divide: 5 / (-30) = -1/6"], "final_answer": "-1/6", "answer_type": "rational", "kind": "expression", "math_text": "5 / ((-36 + 6) / 1)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -36, \"c\": 6, \"d\": 1}", "seed": "9959177247679961348", "semantic_fingerprint": "sha256:7213bd4ee1fd3219a2c3e3dbff26f006e332fc75b2ec75c837eabf3759d96897", "generator_version": "3.0"}
{"id": "v3_val_00005796", "prompt": "Compute: (60 - (-362)) / 4", "solution_steps": ["Subtract: 60 - (-362) = 422", "Divide: 422 / 4 = 211/2"], "final_answer": "211/2", "answer_type": "rational", "kind": "expression", "math_text": "(60 - (-362)) / 4", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -362, \"c\": 4}", "seed": "3385995993460515181", "semantic_fingerprint": "sha256:2be66f8ca18130c6ff86d467fd9b83bac83bd029f3d9defd5de6e3629c06dc12", "generator_version": "3.0"}
{"id": "v3_val_00005797", "prompt": "Compute: -87 * 46 + 39", "solution_steps": ["Multiply: -87 * 46 = -4002", "Add: -4002 + 39 = -3963"], "final_answer": "-3963", "answer_type": "integer", "kind": "expression", "math_text": "-87 * 46 + 39", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 46, \"c\": 39}", "seed": "17857709093100025523", "semantic_fingerprint": "sha256:891f646ecf9c6003c6cdb8a3e3f1eacbeef284586dc63360ce3f4a229781dcb9", "generator_version": "3.0"}
{"id": "v3_val_00005798", "prompt": "What value of x satisfies -4(x - 19) + 3 = x + 34?", "solution_steps": ["Expand: -4x + 76 + 3 = x + 34", "Combine constants: -4x + 79 = x + 34", "Subtract x from both sides: -5x + 79 = 34", "Subtract 79 from both sides: -5x = -45", "Divide both sides by -5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 19) + 3 = x + 34", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 19, \"c\": 3, \"e\": 34, \"x\": 9}", "seed": "17812094228174497030", "semantic_fingerprint": "sha256:9b7f3b50551a8b90729822baa7c779b4497b89a9a431d7ca1ddc988a96c386ee", "generator_version": "3.0"}
{"id": "v3_val_00005799", "prompt": "What value of x satisfies -10x = x + 8?", "solution_steps": ["Subtract x 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": "-10x = x + 8", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 8}", "seed": "11168265539202161140", "semantic_fingerprint": "sha256:351d6dcc9e163567a1b17d415c39d2b3938be9fa472e2dc8b0739b5d00e234ae", "generator_version": "3.0"}
{"id": "v3_val_00005800", "prompt": "Find x: 3x = x - 16", "solution_steps": ["Subtract x from both sides: 2x = -16", "Divide both sides by 2: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = x - 16", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": -16, \"x\": -8}", "seed": "14762297617115741406", "semantic_fingerprint": "sha256:efb3a01a2b5c835c928e515a8b77f9679afdb73f633d36abc670713b90e9a241", "generator_version": "3.0"}
{"id": "v3_val_00005801", "prompt": "Compute: -3 + (-5) - 4", "solution_steps": ["Add: -3 + (-5) = -8", "Subtract: -8 - 4 = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-5) - 4", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -5, \"c\": 4}", "seed": "9743460279628895919", "semantic_fingerprint": "sha256:87bb0d59d1a914d0b42219bca99319872efbee4aa93867069deb56fe1ff454c8", "generator_version": "3.0"}
{"id": "v3_val_00005802", "prompt": "Calculate: 955 * 21 / (217 + (-943) + (-5))", "solution_steps": ["Multiply: 955 * 21 = 20055", "Add: 217 + (-943) = -726", "Add: -726 + (-5) = -731", "Divide: 20055 / (-731) = -20055/731"], "final_answer": "-20055/731", "answer_type": "rational", "kind": "expression", "math_text": "955 * 21 / (217 + (-943) + (-5))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 955, \"b\": 21, \"c\": 217, \"d\": -943, \"e\": -5}", "seed": "9303520807481331174", "semantic_fingerprint": "sha256:41aec318c643590b177fc72b5aef80c9667175a9764f2227d770be5772d0c6ac", "generator_version": "3.0"}
{"id": "v3_val_00005803", "prompt": "Solve for x: x - 99 = 2x - 63", "solution_steps": ["Subtract 2x from both sides: -x - 99 = -63", "Add 99 to both sides: -x = 36", "Divide both sides by -1: x = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 99 = 2x - 63", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 2, \"c\": 63}", "seed": "15511069221874178143", "semantic_fingerprint": "sha256:ab0b9aa23153b9681dcc0fffdc1eaad13915ba4536d8a2feb04191f56e0db289", "generator_version": "3.0"}
{"id": "v3_val_00005804", "prompt": "Compute: -4 + (-149) * (-42)", "solution_steps": ["Multiply: -149 * (-42) = 6258", "Add: -4 + 6258 = 6254"], "final_answer": "6254", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-149) * (-42)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -149, \"c\": -42}", "seed": "14859789648233476616", "semantic_fingerprint": "sha256:d244618bc3eac207cae7c3d22df9032df6d63974b85b3871ebaaf307eb230c50", "generator_version": "3.0"}
{"id": "v3_val_00005805", "prompt": "Calculate: 0 + (-761) - (-78)", "solution_steps": ["Add: 0 + (-761) = -761", "Subtract: -761 - (-78) = -683"], "final_answer": "-683", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-761) - (-78)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -761, \"c\": -78}", "seed": "15852061612230641399", "semantic_fingerprint": "sha256:7737696d69774a4f9de09a76fd2cf83c6445c1e80aa1fdef01ce656dcc8bf6a5", "generator_version": "3.0"}
{"id": "v3_val_00005806", "prompt": "Compute: -64 + 467 * 40", "solution_steps": ["Multiply: 467 * 40 = 18680", "Add: -64 + 18680 = 18616"], "final_answer": "18616", "answer_type": "integer", "kind": "expression", "math_text": "-64 + 467 * 40", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 467, \"c\": 40}", "seed": "3690371764947238657", "semantic_fingerprint": "sha256:c08c9ff92d1bf0f7786e969338211120671025059f8757cef3a806a93bac79bb", "generator_version": "3.0"}
{"id": "v3_val_00005807", "prompt": "Calculate: 14 + 959 * (-25 / (-3))", "solution_steps": ["Divide: -25 / (-3) = 25/3", "Multiply: 959 * (25/3) = 23975/3", "Add: 14 + 23975/3 = 24017/3"], "final_answer": "24017/3", "answer_type": "rational", "kind": "expression", "math_text": "14 + 959 * (-25 / (-3))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 959, \"c\": -25, \"d\": -3}", "seed": "18388345292397082176", "semantic_fingerprint": "sha256:c363c72032b7db8fd6e7112308d52368b16db7b6d45732dc1479f7a1ff0ba3d6", "generator_version": "3.0"}
{"id": "v3_val_00005808", "prompt": "Solve for x: -9x - 6 = x", "solution_steps": ["Subtract x from both sides: -10x - 6 = 0", "Add 6 to both sides: -10x = 6", "Divide both sides by -10: x = -3/5"], "final_answer": "-3/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x - 6 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6}", "seed": "5538477108298747025", "semantic_fingerprint": "sha256:c0165992151af63ca05b64270e9116599284728a23c3d33720a6e90825bee432", "generator_version": "3.0"}
{"id": "v3_val_00005809", "prompt": "What value of x satisfies 9(x + 442) + 38 = x?", "solution_steps": ["Expand: 9x + 3978 + 38 = x", "Combine constants: 9x + 4016 = x", "Subtract x from both sides: 8x + 4016 = 0", "Subtract 4016 from both sides: 8x = -4016", "Divide both sides by 8: x = -502"], "final_answer": "-502", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 442) + 38 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 442, \"c\": 38}", "seed": "10880511373001460618", "semantic_fingerprint": "sha256:d5cc81a792e7f89c2560ff2f8370c29176eb4e30919d2b17438b52bd135ca64f", "generator_version": "3.0"}
{"id": "v3_val_00005810", "prompt": "Solve the equation 12x = 36 for x.", "solution_steps": ["Divide both sides by 12: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 36", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": 36, \"x\": 3}", "seed": "16886714581085954365", "semantic_fingerprint": "sha256:ccfe57bdf4d7d4a20c9910254241c0f1f9e25862811f0e78fca5b5de4ae7e8b6", "generator_version": "3.0"}
{"id": "v3_val_00005811", "prompt": "What value of x satisfies 12(x - 60) + 873 = x + 263?", "solution_steps": ["Expand: 12x - 720 + 873 = x + 263", "Combine constants: 12x + 153 = x + 263", "Subtract x from both sides: 11x + 153 = 263", "Subtract 153 from both sides: 11x = 110", "Divide both sides by 11: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 60) + 873 = x + 263", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 60, \"c\": 873, \"e\": 263, \"x\": 10}", "seed": "7721459448055435792", "semantic_fingerprint": "sha256:bfe42c98242a8bc0fd1f33c5dfb4db3e07905f6eff4b82cb7f42ec80745fb103", "generator_version": "3.0"}
{"id": "v3_val_00005812", "prompt": "Compute: -1 * ((-8 - (-1)) * (-62))", "solution_steps": ["Subtract: -8 - (-1) = -7", "Multiply: -7 * (-62) = 434", "Multiply: -1 * 434 = -434"], "final_answer": "-434", "answer_type": "integer", "kind": "expression", "math_text": "-1 * ((-8 - (-1)) * (-62))", "variable": null, "family": "expression_3op", "shape": "(* n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -8, \"c\": -1, \"d\": -62}", "seed": "175331619187033211", "semantic_fingerprint": "sha256:4a6a6584e4d5dc0ae4ff395c213c207ccd8252acefaa27a1036fc1527f2f8adf", "generator_version": "3.0"}
{"id": "v3_val_00005813", "prompt": "Compute: 96 * (190 * 37)", "solution_steps": ["Multiply: 190 * 37 = 7030", "Multiply: 96 * 7030 = 674880"], "final_answer": "674880", "answer_type": "integer", "kind": "expression", "math_text": "96 * (190 * 37)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 190, \"c\": 37}", "seed": "1643639760937572306", "semantic_fingerprint": "sha256:a8addf617f19bfdf98474af0ba082c915b81f5f01fe79e82208e1850bef8f21a", "generator_version": "3.0"}
{"id": "v3_val_00005814", "prompt": "Find x: -10(x + 1) - 41 = x", "solution_steps": ["Expand: -10x - 10 - 41 = x", "Combine constants: -10x - 51 = x", "Subtract x from both sides: -11x - 51 = 0", "Add 51 to both sides: -11x = 51", "Divide both sides by -11: x = -51/11"], "final_answer": "-51/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 1) - 41 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1, \"c\": 41}", "seed": "17449506812105215877", "semantic_fingerprint": "sha256:64cc18c0ff757d8bb97fb7f2f19be1663632c01a87b684c26a5112517bfe4b32", "generator_version": "3.0"}
{"id": "v3_val_00005815", "prompt": "What is -60 - (-6) / (-27)?", "solution_steps": ["Divide: -6 / (-27) = 2/9", "Subtract: -60 - 2/9 = -542/9"], "final_answer": "-542/9", "answer_type": "rational", "kind": "expression", "math_text": "-60 - (-6) / (-27)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -6, \"c\": -27}", "seed": "9693882972090065839", "semantic_fingerprint": "sha256:8700466a0e77086d6a06acf5e974e0e8408867c4ceb533989190abbaa53ee3df", "generator_version": "3.0"}
{"id": "v3_val_00005816", "prompt": "Calculate: -580 * (-81 * (-3) + (-873))", "solution_steps": ["Multiply: -81 * (-3) = 243", "Add: 243 + (-873) = -630", "Multiply: -580 * (-630) = 365400"], "final_answer": "365400", "answer_type": "integer", "kind": "expression", "math_text": "-580 * (-81 * (-3) + (-873))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -580, \"b\": -81, \"c\": -3, \"d\": -873}", "seed": "16041901974493429118", "semantic_fingerprint": "sha256:a6b6116ba2cee42792c9ff17da4fccb44170acbc18bfc38a29031f4ba9153626", "generator_version": "3.0"}
{"id": "v3_val_00005817", "prompt": "Calculate: 0 + 749", "solution_steps": ["Add: 0 + 749 = 749"], "final_answer": "749", "answer_type": "integer", "kind": "expression", "math_text": "0 + 749", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 749}", "seed": "18086661590518472021", "semantic_fingerprint": "sha256:db930e23c93d4b776728b88f8ba783c2baeda8f64d5308f0e89eb9a271a46487", "generator_version": "3.0"}
{"id": "v3_val_00005818", "prompt": "Solve the equation 8x - 2 = -6x + 9 for x.", "solution_steps": ["Add 6x to both sides: 14x - 2 = 9", "Add 2 to both sides: 14x = 11", "Divide both sides by 14: x = 11/14"], "final_answer": "11/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 2 = -6x + 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": -6, \"d\": 9}", "seed": "2021620189389724902", "semantic_fingerprint": "sha256:36c28f6ab6b67a6e280879169015565554dea67310c119213541cfc3b74e45ea", "generator_version": "3.0"}
{"id": "v3_val_00005819", "prompt": "What is -647 * (-80) + 192 - 29?", "solution_steps": ["Multiply: -647 * (-80) = 51760", "Add: 51760 + 192 = 51952", "Subtract: 51952 - 29 = 51923"], "final_answer": "51923", "answer_type": "integer", "kind": "expression", "math_text": "-647 * (-80) + 192 - 29", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -647, \"b\": -80, \"c\": 192, \"d\": 29}", "seed": "3583164394757202718", "semantic_fingerprint": "sha256:ee340ce65a5c5d87d131884e97dab53aec5621a450a08b0b428dc6f0e6103272", "generator_version": "3.0"}
{"id": "v3_val_00005820", "prompt": "Calculate: 1 + (-9)", "solution_steps": ["Add: 1 + (-9) = -8"], "final_answer": "-8", "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": "9361776216179143760", "semantic_fingerprint": "sha256:5cb18d70ce6c7a301e5f69cd5782aca26c93f2ac0ca0de215514d19a34c08453", "generator_version": "3.0"}
{"id": "v3_val_00005821", "prompt": "What is 66 - 85?", "solution_steps": ["Subtract: 66 - 85 = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "66 - 85", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 85}", "seed": "10433429788835914072", "semantic_fingerprint": "sha256:1c8e58f4d93061fdea48342edbed38893806606e8423ede014d3b7063c770fc2", "generator_version": "3.0"}
{"id": "v3_val_00005822", "prompt": "Evaluate: 92 - (-6)", "solution_steps": ["Subtract: 92 - (-6) = 98"], "final_answer": "98", "answer_type": "integer", "kind": "expression", "math_text": "92 - (-6)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -6}", "seed": "445431146226684781", "semantic_fingerprint": "sha256:89137f454f62d7e1e4d2432b42b794e8272cab938ba73a2ecb5e50514c0790d1", "generator_version": "3.0"}
{"id": "v3_val_00005823", "prompt": "Evaluate: -8 * (-16 + 5) * (-82) / (8 + 0)", "solution_steps": ["Add: -16 + 5 = -11", "Multiply: -8 * (-11) = 88", "Multiply: 88 * (-82) = -7216", "Add: 8 + 0 = 8", "Divide: -7216 / 8 = -902"], "final_answer": "-902", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-16 + 5) * (-82) / (8 + 0)", "variable": null, "family": "expression_5op", "shape": "(/ (* (* n (+ n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -16, \"c\": 5, \"d\": -82, \"e\": 8, \"f\": 0}", "seed": "7701468735411285850", "semantic_fingerprint": "sha256:c0b9d52660dadefe1ffd3d22219a184962a4abdbb1d51232c94856dbfa8632ad", "generator_version": "3.0"}
{"id": "v3_val_00005824", "prompt": "Evaluate: 794 * (-579)", "solution_steps": ["Multiply: 794 * (-579) = -459726"], "final_answer": "-459726", "answer_type": "integer", "kind": "expression", "math_text": "794 * (-579)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 794, \"b\": -579}", "seed": "9150202028846131593", "semantic_fingerprint": "sha256:8c680e077079547689656318f80948a707c6ec36ce7e4791978d7db3eabda8d5", "generator_version": "3.0"}
{"id": "v3_val_00005825", "prompt": "What value of x satisfies -8(x - 32) + 1 = 5(x - 7) - 2?", "solution_steps": ["Expand: -8x + 256 + 1 = 5(x - 7) - 2", "Expand: -8x + 256 + 1 = 5x - 35 - 2", "Combine constants: -8x + 257 = 5x - 35 - 2", "Combine constants: -8x + 257 = 5x - 37", "Subtract 5x from both sides: -13x + 257 = -37", "Subtract 257 from both sides: -13x = -294", "Divide both sides by -13: x = 294/13"], "final_answer": "294/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 32) + 1 = 5(x - 7) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 32, \"c\": 1, \"d\": 5, \"e\": 7, \"f\": 2}", "seed": "17600504467509963176", "semantic_fingerprint": "sha256:e13173a0924a6bd2588480a89bf88c362e70afd5043b75e7dc4bde3c38565799", "generator_version": "3.0"}
{"id": "v3_val_00005826", "prompt": "Compute: -985 * ((4 + (-4)) / (-767 + 90))", "solution_steps": ["Add: 4 + (-4) = 0", "Add: -767 + 90 = -677", "Divide: 0 / (-677) = 0", "Multiply: -985 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-985 * ((4 + (-4)) / (-767 + 90))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -985, \"b\": 4, \"c\": -4, \"d\": -767, \"e\": 90}", "seed": "8440290846883371584", "semantic_fingerprint": "sha256:9b527ad0804226cb5f7ca2b412fe2e80902a950d5b5bbe538c5fc3dfe8d34e0a", "generator_version": "3.0"}
{"id": "v3_val_00005827", "prompt": "What is 4 * (-9 / (-1))?", "solution_steps": ["Divide: -9 / (-1) = 9", "Multiply: 4 * 9 = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-9 / (-1))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -9, \"c\": -1}", "seed": "532141274453252503", "semantic_fingerprint": "sha256:0a325a4c5371e1420b2bf54adacdb4b80a220e93562a45e74d5dd73056a60e7c", "generator_version": "3.0"}
{"id": "v3_val_00005828", "prompt": "What value of x satisfies x = -5x + 37?", "solution_steps": ["Add 5x to both sides: 6x = 37", "Divide both sides by 6: x = 37/6"], "final_answer": "37/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -5x + 37", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 37}", "seed": "15651245917492800592", "semantic_fingerprint": "sha256:9f2e47c73e612a0f47eff6d18cfcd3abbdfdd39b5d46eac0bae00cba4a69aad8", "generator_version": "3.0"}
{"id": "v3_val_00005829", "prompt": "What value of x satisfies 4(x - 47) - 1 = x - 320?", "solution_steps": ["Expand: 4x - 188 - 1 = x - 320", "Combine constants: 4x - 189 = x - 320", "Subtract x from both sides: 3x - 189 = -320", "Add 189 to both sides: 3x = -131", "Divide both sides by 3: x = -131/3"], "final_answer": "-131/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 47) - 1 = x - 320", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 47, \"c\": 1, \"d\": 320}", "seed": "14490978974934055213", "semantic_fingerprint": "sha256:63b9594ce79cd9f4803b25eb7a665235502f11f6d7dadc2a91ca402d9638fbd1", "generator_version": "3.0"}
{"id": "v3_val_00005830", "prompt": "Solve for x: x = 7x - 5", "solution_steps": ["Subtract 7x from both sides: -6x = -5", "Divide both sides by -6: x = 5/6"], "final_answer": "5/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7x - 5", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5}", "seed": "11138627067098086480", "semantic_fingerprint": "sha256:da6815e7de0f36b908792e074823af8cf28905a0b185a32ef5ee2cf0f02b2a0b", "generator_version": "3.0"}
{"id": "v3_val_00005831", "prompt": "What is -4 * (-3) / 80?", "solution_steps": ["Multiply: -4 * (-3) = 12", "Divide: 12 / 80 = 3/20"], "final_answer": "3/20", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (-3) / 80", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -3, \"c\": 80}", "seed": "11462378678166158440", "semantic_fingerprint": "sha256:d6826bcd14c5436b203e19e4ccf840dfd7d30f0c43353f1cfb68f4ebd4185fc1", "generator_version": "3.0"}
{"id": "v3_val_00005832", "prompt": "Evaluate: -2 * ((24 - (-355) - (-27)) * (-37)) + (-694)", "solution_steps": ["Subtract: 24 - (-355) = 379", "Subtract: 379 - (-27) = 406", "Multiply: 406 * (-37) = -15022", "Multiply: -2 * (-15022) = 30044", "Add: 30044 + (-694) = 29350"], "final_answer": "29350", "answer_type": "integer", "kind": "expression", "math_text": "-2 * ((24 - (-355) - (-27)) * (-37)) + (-694)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* (- (- n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 24, \"c\": -355, \"d\": -27, \"e\": -37, \"f\": -694}", "seed": "16341927554218930885", "semantic_fingerprint": "sha256:23a29bf88a7888e52ce22b29e8c6bb3f22a7432be022b7a4c53240ccfc25602e", "generator_version": "3.0"}
{"id": "v3_val_00005833", "prompt": "Solve the equation 3(x - 1) = -10(x - 2) - 49 for x.", "solution_steps": ["Expand: 3x - 3 = -10(x - 2) - 49", "Expand: 3x - 3 = -10x + 20 - 49", "Combine constants: 3x - 3 = -10x - 29", "Add 10x to both sides: 13x - 3 = -29", "Add 3 to both sides: 13x = -26", "Divide both sides by 13: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 1) = -10(x - 2) - 49", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": -10, \"d\": 2, \"f\": -49, \"x\": -2}", "seed": "125395641205723687", "semantic_fingerprint": "sha256:9f36d1eb18b55629baebdb6be0834eff3cfd47ec54cfe11228a1acb3433c2a16", "generator_version": "3.0"}
{"id": "v3_val_00005834", "prompt": "Solve the equation x + 981 = 4(x - 311) + 1 for x.", "solution_steps": ["Expand: x + 981 = 4x - 1244 + 1", "Combine constants: x + 981 = 4x - 1243", "Subtract 4x from both sides: -3x + 981 = -1243", "Subtract 981 from both sides: -3x = -2224", "Divide both sides by -3: x = 2224/3"], "final_answer": "2224/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 981 = 4(x - 311) + 1", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 981, \"b\": 4, \"c\": 311, \"d\": 1}", "seed": "15867079521531276172", "semantic_fingerprint": "sha256:05d6b31fec1a840b7528c1a6049101c11f576eb4dcacdfa6317eafbb49b3c0de", "generator_version": "3.0"}
{"id": "v3_val_00005835", "prompt": "Calculate: 44 - 875", "solution_steps": ["Subtract: 44 - 875 = -831"], "final_answer": "-831", "answer_type": "integer", "kind": "expression", "math_text": "44 - 875", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 875}", "seed": "794555775149128444", "semantic_fingerprint": "sha256:88c543bb9816e27d0615992928e82d583a24640d16ea6c1d36b8f7f5a5735a7a", "generator_version": "3.0"}
{"id": "v3_val_00005836", "prompt": "Compute: 65 - (-110) + 519", "solution_steps": ["Subtract: 65 - (-110) = 175", "Add: 175 + 519 = 694"], "final_answer": "694", "answer_type": "integer", "kind": "expression", "math_text": "65 - (-110) + 519", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -110, \"c\": 519}", "seed": "1602258232172407436", "semantic_fingerprint": "sha256:7ca4fdc8f356a11369de58647e10dee06c6a18eea1b787d7735fe5016a3c3928", "generator_version": "3.0"}
{"id": "v3_val_00005837", "prompt": "Compute: -98 - (-81) - 41", "solution_steps": ["Subtract: -98 - (-81) = -17", "Subtract: -17 - 41 = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-98 - (-81) - 41", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -81, \"c\": 41}", "seed": "6233368300499135075", "semantic_fingerprint": "sha256:f3a787ed608fea4c1cc2722196987ccf70f58feaf2e0c1cdaff2d661f5f39949", "generator_version": "3.0"}
{"id": "v3_val_00005838", "prompt": "Evaluate: 693 + (-5)", "solution_steps": ["Add: 693 + (-5) = 688"], "final_answer": "688", "answer_type": "integer", "kind": "expression", "math_text": "693 + (-5)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 693, \"b\": -5}", "seed": "17213418451127104554", "semantic_fingerprint": "sha256:2f2b88870c675b0960105ffd59d742ec4c49bec7f3156a0c9e48639c360a211f", "generator_version": "3.0"}
{"id": "v3_val_00005839", "prompt": "Solve the equation 2(x + 4) - 63 = -35 for x.", "solution_steps": ["Expand: 2x + 8 - 63 = -35", "Combine constants: 2x - 55 = -35", "Add 55 to both sides: 2x = 20", "Divide both sides by 2: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 4) - 63 = -35", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 63, \"e\": -35, \"x\": 10}", "seed": "6232616757891276489", "semantic_fingerprint": "sha256:400e4434d7d7708a4913d2f76a24de84e832dd7d59c8ed0450ffee8619a3d30d", "generator_version": "3.0"}
{"id": "v3_val_00005840", "prompt": "Compute: -35 * 8 - 621", "solution_steps": ["Multiply: -35 * 8 = -280", "Subtract: -280 - 621 = -901"], "final_answer": "-901", "answer_type": "integer", "kind": "expression", "math_text": "-35 * 8 - 621", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 8, \"c\": 621}", "seed": "1987741447749033504", "semantic_fingerprint": "sha256:fa23eb59f49f1d34c21f6f885c1496af9eb263727b87eadf8e231ccdc1a7e703", "generator_version": "3.0"}
{"id": "v3_val_00005841", "prompt": "Calculate: 531 * (69 / (7 * (-4)))", "solution_steps": ["Multiply: 7 * (-4) = -28", "Divide: 69 / (-28) = -69/28", "Multiply: 531 * (-69/28) = -36639/28"], "final_answer": "-36639/28", "answer_type": "rational", "kind": "expression", "math_text": "531 * (69 / (7 * (-4)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 531, \"b\": 69, \"c\": 7, \"d\": -4}", "seed": "7408804025857843386", "semantic_fingerprint": "sha256:0b3195973a154a2d351090aee7831253792ad2cf66c8b013702d94b017c3a47c", "generator_version": "3.0"}
{"id": "v3_val_00005842", "prompt": "What is -363 - 8 - (-3)?", "solution_steps": ["Subtract: -363 - 8 = -371", "Subtract: -371 - (-3) = -368"], "final_answer": "-368", "answer_type": "integer", "kind": "expression", "math_text": "-363 - 8 - (-3)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -363, \"b\": 8, \"c\": -3}", "seed": "1937774608900398223", "semantic_fingerprint": "sha256:870b1a8943564569512d286668b1dc3c7d0f18532e7337c470f1e36f12878dfb", "generator_version": "3.0"}
{"id": "v3_val_00005843", "prompt": "Calculate: -3 / (-658) + 5", "solution_steps": ["Divide: -3 / (-658) = 3/658", "Add: 3/658 + 5 = 3293/658"], "final_answer": "3293/658", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-658) + 5", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -658, \"c\": 5}", "seed": "16611900124685649039", "semantic_fingerprint": "sha256:c5f9434262e0d8ec5718beac93fb7b5f191939b65e09515576ddda9cef416ec3", "generator_version": "3.0"}
{"id": "v3_val_00005844", "prompt": "Compute: -8 * 33 + 253", "solution_steps": ["Multiply: -8 * 33 = -264", "Add: -264 + 253 = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 33 + 253", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 33, \"c\": 253}", "seed": "14110005363757709362", "semantic_fingerprint": "sha256:3b907fb9db4814317124cbc3a4d103f0633f4cddea962be5f6dd5dd3677b0f43", "generator_version": "3.0"}
{"id": "v3_val_00005845", "prompt": "Calculate: -65 * (-805 / 54) / (-13 - (-32)) + (-27)", "solution_steps": ["Divide: -805 / 54 = -805/54", "Multiply: -65 * (-805/54) = 52325/54", "Subtract: -13 - (-32) = 19", "Divide: (52325/54) / 19 = 52325/1026", "Add: 52325/1026 + (-27) = 24623/1026"], "final_answer": "24623/1026", "answer_type": "rational", "kind": "expression", "math_text": "-65 * (-805 / 54) / (-13 - (-32)) + (-27)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n (/ n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -805, \"c\": 54, \"d\": -13, \"e\": -32, \"f\": -27}", "seed": "10770449628307012955", "semantic_fingerprint": "sha256:28d79d0ef2c10fdd67bf1b3b6ba63d41d3d2873e085a893b9d5a837ec7d1cf36", "generator_version": "3.0"}
{"id": "v3_val_00005846", "prompt": "Compute: 0 / (709 + (-76) + 44) - 60 * 0", "solution_steps": ["Add: 709 + (-76) = 633", "Add: 633 + 44 = 677", "Divide: 0 / 677 = 0", "Multiply: 60 * 0 = 0", "Subtract: 0 - 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (709 + (-76) + 44) - 60 * 0", "variable": null, "family": "expression_5op", "shape": "(- (/ n (+ (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 709, \"c\": -76, \"d\": 44, \"e\": 60, \"f\": 0}", "seed": "5549531024824469445", "semantic_fingerprint": "sha256:38955e0feb8b8badb8900b0a0041e4173673065dcfbbe65170bb9f9fb538d691", "generator_version": "3.0"}
{"id": "v3_val_00005847", "prompt": "What is -665 - (-36)?", "solution_steps": ["Subtract: -665 - (-36) = -629"], "final_answer": "-629", "answer_type": "integer", "kind": "expression", "math_text": "-665 - (-36)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -665, \"b\": -36}", "seed": "11883862160186154033", "semantic_fingerprint": "sha256:b5486e97dff03691c56b1658172ee3333167d25df7b8ae7677d3f2a97877e392", "generator_version": "3.0"}
{"id": "v3_val_00005848", "prompt": "What value of x satisfies 2(x - 8) + 4 = 5x?", "solution_steps": ["Expand: 2x - 16 + 4 = 5x", "Combine constants: 2x - 12 = 5x", "Subtract 5x from both sides: -3x - 12 = 0", "Add 12 to both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 8) + 4 = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 5, \"e\": 4, \"x\": -4}", "seed": "6772168518710168339", "semantic_fingerprint": "sha256:43ae3d853603e9f08671069f56302eefbfccfde3be4390d1f1aa521baf9e2066", "generator_version": "3.0"}
{"id": "v3_val_00005849", "prompt": "Find x: 5(x + 5) = -2(x + 26)", "solution_steps": ["Expand: 5x + 25 = -2(x + 26)", "Expand: 5x + 25 = -2x - 52", "Add 2x to both sides: 7x + 25 = -52", "Subtract 25 from both sides: 7x = -77", "Divide both sides by 7: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 5) = -2(x + 26)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": -2, \"d\": 26}", "seed": "16794482699789900768", "semantic_fingerprint": "sha256:a0d7a823c50120640124be58579062c2424c474e2c8cc12c4202862312b29333", "generator_version": "3.0"}
{"id": "v3_val_00005850", "prompt": "Find x: x = -2x + 45", "solution_steps": ["Add 2x to both sides: 3x = 45", "Divide both sides by 3: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -2x + 45", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"c\": 45, \"x\": 15}", "seed": "6036406574992767805", "semantic_fingerprint": "sha256:e30c2b901316d720cb8d4c8e9d9e0fe325d365b3ae67f36a975061b1e5d3a188", "generator_version": "3.0"}
{"id": "v3_val_00005851", "prompt": "Evaluate: -217 - 4 * (-2)", "solution_steps": ["Multiply: 4 * (-2) = -8", "Subtract: -217 - (-8) = -209"], "final_answer": "-209", "answer_type": "integer", "kind": "expression", "math_text": "-217 - 4 * (-2)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -217, \"b\": 4, \"c\": -2}", "seed": "13538365557096722043", "semantic_fingerprint": "sha256:e7282c30002085275227e920ca8d95d0acb1fd55c70e35da1cc505e322165aab", "generator_version": "3.0"}
{"id": "v3_val_00005852", "prompt": "Compute: -576 * (0 * (-7 * (-13))) * (-8 + 22)", "solution_steps": ["Multiply: -7 * (-13) = 91", "Multiply: 0 * 91 = 0", "Multiply: -576 * 0 = 0", "Add: -8 + 22 = 14", "Multiply: 0 * 14 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-576 * (0 * (-7 * (-13))) * (-8 + 22)", "variable": null, "family": "expression_5op", "shape": "(* (* n (* n (* n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -576, \"b\": 0, \"c\": -7, \"d\": -13, \"e\": -8, \"f\": 22}", "seed": "10445065975586477800", "semantic_fingerprint": "sha256:590fc8fc05467884fb4a670959f52431abf6295e22a6301d92ed602bbe3b21d1", "generator_version": "3.0"}
{"id": "v3_val_00005853", "prompt": "Compute: -988 - (-3 * (-118) - (-22))", "solution_steps": ["Multiply: -3 * (-118) = 354", "Subtract: 354 - (-22) = 376", "Subtract: -988 - 376 = -1364"], "final_answer": "-1364", "answer_type": "integer", "kind": "expression", "math_text": "-988 - (-3 * (-118) - (-22))", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -988, \"b\": -3, \"c\": -118, \"d\": -22}", "seed": "1683287537126879717", "semantic_fingerprint": "sha256:7c82d23508a2611e7398f7bca0259e72f4dd292ba1d549406b5279f9fc6665d9", "generator_version": "3.0"}
{"id": "v3_val_00005854", "prompt": "What is (-9 / 510 - (-6)) / (-8 / (-7)) + 26?", "solution_steps": ["Divide: -9 / 510 = -3/170", "Subtract: -3/170 - (-6) = 1017/170", "Divide: -8 / (-7) = 8/7", "Divide: (1017/170) / (8/7) = 7119/1360", "Add: 7119/1360 + 26 = 42479/1360"], "final_answer": "42479/1360", "answer_type": "rational", "kind": "expression", "math_text": "(-9 / 510 - (-6)) / (-8 / (-7)) + 26", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- (/ n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 510, \"c\": -6, \"d\": -8, \"e\": -7, \"f\": 26}", "seed": "3006673514153345959", "semantic_fingerprint": "sha256:559a6272e2d579cccfcebe8d64a43bad9dea9167a310156b8fa8ea33eb51914c", "generator_version": "3.0"}
{"id": "v3_val_00005855", "prompt": "Solve the equation x - 302 = -645 for x.", "solution_steps": ["Add 302 to both sides: x = -343"], "final_answer": "-343", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 302 = -645", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 302, \"b\": -645}", "seed": "7170878515528694789", "semantic_fingerprint": "sha256:b1a40ce0393c0e407fec84454ca540b96d10bf40ac910755a0a7231849673689", "generator_version": "3.0"}
{"id": "v3_val_00005856", "prompt": "Evaluate: -797 / (8 / 99)", "solution_steps": ["Divide: 8 / 99 = 8/99", "Divide: -797 / (8/99) = -78903/8"], "final_answer": "-78903/8", "answer_type": "rational", "kind": "expression", "math_text": "-797 / (8 / 99)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -797, \"b\": 8, \"c\": 99}", "seed": "10987709235640825743", "semantic_fingerprint": "sha256:57fb87983502b936cac5c6be5403d08f7936974ad41be11684a79f4a3e71d3c6", "generator_version": "3.0"}
{"id": "v3_val_00005857", "prompt": "Find x: x + 37 = 3(x + 98) + 7", "solution_steps": ["Expand: x + 37 = 3x + 294 + 7", "Combine constants: x + 37 = 3x + 301", "Subtract 3x from both sides: -2x + 37 = 301", "Subtract 37 from both sides: -2x = 264", "Divide both sides by -2: x = -132"], "final_answer": "-132", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 37 = 3(x + 98) + 7", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 3, \"c\": 98, \"d\": 7}", "seed": "12749785474288479388", "semantic_fingerprint": "sha256:ed4abb922e1f964e5ad599bba3ef85b8fc15923b182b171d3ada5aec7bd41161", "generator_version": "3.0"}
{"id": "v3_val_00005858", "prompt": "Evaluate: 8 + 63 / (-9 + (-694))", "solution_steps": ["Add: -9 + (-694) = -703", "Divide: 63 / (-703) = -63/703", "Add: 8 + (-63/703) = 5561/703"], "final_answer": "5561/703", "answer_type": "rational", "kind": "expression", "math_text": "8 + 63 / (-9 + (-694))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 63, \"c\": -9, \"d\": -694}", "seed": "3169751366811966808", "semantic_fingerprint": "sha256:f1e676fac37f74f9fcaea98e5c6650888f4d1f70f458b578bcf8b1511ea71568", "generator_version": "3.0"}
{"id": "v3_val_00005859", "prompt": "Find x: 5(x - 4) + 7 = 4x - 32", "solution_steps": ["Expand: 5x - 20 + 7 = 4x - 32", "Combine constants: 5x - 13 = 4x - 32", "Subtract 4x from both sides: x - 13 = -32", "Add 13 to both sides: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 4) + 7 = 4x - 32", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 7, \"d\": 4, \"f\": -32, \"x\": -19}", "seed": "5556785500568663568", "semantic_fingerprint": "sha256:94739c67ff812529f5b48df743e8b78c70deb585c2d1045dfb41c56458c0d018", "generator_version": "3.0"}
{"id": "v3_val_00005860", "prompt": "Solve for x: 3(x - 10) = x - 10", "solution_steps": ["Expand: 3x - 30 = x - 10", "Subtract x from both sides: 2x - 30 = -10", "Add 30 to both sides: 2x = 20", "Divide both sides by 2: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 10) = x - 10", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 10, \"d\": -10, \"x\": 10}", "seed": "3259238401393855708", "semantic_fingerprint": "sha256:abd9f122a73984c1d03d359b01d64021ac0fb17561ca226908cdde451a3961be", "generator_version": "3.0"}
{"id": "v3_val_00005861", "prompt": "Calculate: -98 - (7 + 24 * 90 - (-523))", "solution_steps": ["Multiply: 24 * 90 = 2160", "Add: 7 + 2160 = 2167", "Subtract: 2167 - (-523) = 2690", "Subtract: -98 - 2690 = -2788"], "final_answer": "-2788", "answer_type": "integer", "kind": "expression", "math_text": "-98 - (7 + 24 * 90 - (-523))", "variable": null, "family": "expression_4op", "shape": "(- n (- (+ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 7, \"c\": 24, \"d\": 90, \"e\": -523}", "seed": "8875739888400977155", "semantic_fingerprint": "sha256:a29f620a9ccbe9a3aa5c1338619f792510576eacee5326f6c205d01f3a6e9976", "generator_version": "3.0"}
{"id": "v3_val_00005862", "prompt": "What is -7 * (27 / 71)?", "solution_steps": ["Divide: 27 / 71 = 27/71", "Multiply: -7 * (27/71) = -189/71"], "final_answer": "-189/71", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (27 / 71)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 27, \"c\": 71}", "seed": "5460742984632895152", "semantic_fingerprint": "sha256:51ce8393c0febe1dce0aefc5c835e7253e4a5d7a0dee588ef44ab95d4bb6b5ae", "generator_version": "3.0"}
{"id": "v3_val_00005863", "prompt": "Compute: 934 / (-19)", "solution_steps": ["Divide: 934 / (-19) = -934/19"], "final_answer": "-934/19", "answer_type": "rational", "kind": "expression", "math_text": "934 / (-19)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 934, \"b\": -19}", "seed": "16444813468003887631", "semantic_fingerprint": "sha256:3d737659232e79a0d9973a88a911114f627fcb9c84597dbf69b4c970dbe2019c", "generator_version": "3.0"}
{"id": "v3_val_00005864", "prompt": "Find x: -4x - 26 = x + 44", "solution_steps": ["Subtract x from both sides: -5x - 26 = 44", "Add 26 to both sides: -5x = 70", "Divide both sides by -5: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 26 = x + 44", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 26, \"d\": 44, \"x\": -14}", "seed": "17921566207876474748", "semantic_fingerprint": "sha256:10bf90a3fcd8018226b9807592d1364c5e17366d6f16cfb1600c4b911ad561e6", "generator_version": "3.0"}
{"id": "v3_val_00005865", "prompt": "What value of x satisfies -12(x - 53) - 7 = -11(x - 5) + 593?", "solution_steps": ["Expand: -12x + 636 - 7 = -11(x - 5) + 593", "Expand: -12x + 636 - 7 = -11x + 55 + 593", "Combine constants: -12x + 629 = -11x + 55 + 593", "Combine constants: -12x + 629 = -11x + 648", "Add 11x to both sides: -x + 629 = 648", "Subtract 629 from both sides: -x = 19", "Divide both sides by -1: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 53) - 7 = -11(x - 5) + 593", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 53, \"c\": 7, \"d\": -11, \"e\": 5, \"g\": 593, \"x\": -19}", "seed": "1341344094204250162", "semantic_fingerprint": "sha256:c76b7e6ef7eab574046040d89c587f72e240ea785eebc9d1b0667f066b9ac1f6", "generator_version": "3.0"}
{"id": "v3_val_00005866", "prompt": "Find x: 5(x + 4) - 95 = 8(x + 3)", "solution_steps": ["Expand: 5x + 20 - 95 = 8(x + 3)", "Expand: 5x + 20 - 95 = 8x + 24", "Combine constants: 5x - 75 = 8x + 24", "Subtract 8x from both sides: -3x - 75 = 24", "Add 75 to both sides: -3x = 99", "Divide both sides by -3: x = -33"], "final_answer": "-33", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 4) - 95 = 8(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 95, \"d\": 8, \"e\": 3}", "seed": "9906343358130777099", "semantic_fingerprint": "sha256:90e9351ed60d40ef75731c209ef7a0899d53f13125b23a48dd0b79f95ed0e2a4", "generator_version": "3.0"}
{"id": "v3_val_00005867", "prompt": "Evaluate: -47 / 56 + (-81)", "solution_steps": ["Divide: -47 / 56 = -47/56", "Add: -47/56 + (-81) = -4583/56"], "final_answer": "-4583/56", "answer_type": "rational", "kind": "expression", "math_text": "-47 / 56 + (-81)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 56, \"c\": -81}", "seed": "13796493925506068618", "semantic_fingerprint": "sha256:e739f6fdfd3b2da4d10f0dcd8d8818f5676f75a49403f267aec93bd05e086819", "generator_version": "3.0"}
{"id": "v3_val_00005868", "prompt": "Calculate: (767 + (61 + 18)) / (-4) * (-266)", "solution_steps": ["Add: 61 + 18 = 79", "Add: 767 + 79 = 846", "Divide: 846 / (-4) = -423/2", "Multiply: (-423/2) * (-266) = 56259"], "final_answer": "56259", "answer_type": "integer", "kind": "expression", "math_text": "(767 + (61 + 18)) / (-4) * (-266)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 767, \"b\": 61, \"c\": 18, \"d\": -4, \"e\": -266}", "seed": "2882708880714295413", "semantic_fingerprint": "sha256:09dc863e0c13d057215940d9cba4aacd286f1ddd51c65a557d6c22d0da78c83f", "generator_version": "3.0"}
{"id": "v3_val_00005869", "prompt": "What value of x satisfies 10(x + 1) = 3x + 7?", "solution_steps": ["Expand: 10x + 10 = 3x + 7", "Subtract 3x from both sides: 7x + 10 = 7", "Subtract 10 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 + 1) = 3x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 3, \"d\": 7}", "seed": "14323721853132021003", "semantic_fingerprint": "sha256:9ff68aba2d53b3e628f88e8e6c61aa2501f10a90b497f111debdf8a6090cbc8b", "generator_version": "3.0"}
{"id": "v3_val_00005870", "prompt": "What is 899 + (-32)?", "solution_steps": ["Add: 899 + (-32) = 867"], "final_answer": "867", "answer_type": "integer", "kind": "expression", "math_text": "899 + (-32)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 899, \"b\": -32}", "seed": "1824419126101799904", "semantic_fingerprint": "sha256:f8e98e20336e357536d61a89a0d7e6402b48e8f99c11d38d19124e2c6814442c", "generator_version": "3.0"}
{"id": "v3_val_00005871", "prompt": "Evaluate: -95 * 91", "solution_steps": ["Multiply: -95 * 91 = -8645"], "final_answer": "-8645", "answer_type": "integer", "kind": "expression", "math_text": "-95 * 91", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 91}", "seed": "1945138428460474540", "semantic_fingerprint": "sha256:8124c48752a4175305bd32bf7d1a7ea76968585e11beb58557fe7c7e5c08319e", "generator_version": "3.0"}
{"id": "v3_val_00005872", "prompt": "Solve for x: 2(x - 45) - 6 = 3(x + 1) - 108", "solution_steps": ["Expand: 2x - 90 - 6 = 3(x + 1) - 108", "Expand: 2x - 90 - 6 = 3x + 3 - 108", "Combine constants: 2x - 96 = 3x + 3 - 108", "Combine constants: 2x - 96 = 3x - 105", "Subtract 3x from both sides: -x - 96 = -105", "Add 96 to both sides: -x = -9", "Divide both sides by -1: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 45) - 6 = 3(x + 1) - 108", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 45, \"c\": 6, \"d\": 3, \"e\": 1, \"g\": -108, \"x\": 9}", "seed": "1420108027742516285", "semantic_fingerprint": "sha256:d1d5f15914189ba5301d5f6f324693b2014d24c7a8fd5ee95da20054684310e0", "generator_version": "3.0"}
{"id": "v3_val_00005873", "prompt": "What is 366 * 572?", "solution_steps": ["Multiply: 366 * 572 = 209352"], "final_answer": "209352", "answer_type": "integer", "kind": "expression", "math_text": "366 * 572", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 366, \"b\": 572}", "seed": "6755039599188765016", "semantic_fingerprint": "sha256:693207137e7963376e18ad47c77d95fa1ed4c8b6cb29dc11463647f2ff998eac", "generator_version": "3.0"}
{"id": "v3_val_00005874", "prompt": "Find x: 10(x + 84) - 767 = -8x + 217", "solution_steps": ["Expand: 10x + 840 - 767 = -8x + 217", "Combine constants: 10x + 73 = -8x + 217", "Add 8x to both sides: 18x + 73 = 217", "Subtract 73 from both sides: 18x = 144", "Divide both sides by 18: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 84) - 767 = -8x + 217", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 84, \"c\": 767, \"d\": -8, \"f\": 217, \"x\": 8}", "seed": "18100020106432137093", "semantic_fingerprint": "sha256:0356f29827d77155ce7a57dff1588e235a9bedc8cce0cb062ea91e3a2d040e6c", "generator_version": "3.0"}
{"id": "v3_val_00005875", "prompt": "Evaluate: 6 - 1 - 0 * (-281)", "solution_steps": ["Subtract: 6 - 1 = 5", "Multiply: 0 * (-281) = 0", "Subtract: 5 - 0 = 5"], "final_answer": "5", "answer_type": "integer", "kind": "expression", "math_text": "6 - 1 - 0 * (-281)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 0, \"d\": -281}", "seed": "9561800909051816018", "semantic_fingerprint": "sha256:6a77e2ee372d18c061ac74a5c53e7803ef832bf5df821bf03805e71d2c3cc8b3", "generator_version": "3.0"}
{"id": "v3_val_00005876", "prompt": "Compute: -499 + 229 / (-55)", "solution_steps": ["Divide: 229 / (-55) = -229/55", "Add: -499 + (-229/55) = -27674/55"], "final_answer": "-27674/55", "answer_type": "rational", "kind": "expression", "math_text": "-499 + 229 / (-55)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -499, \"b\": 229, \"c\": -55}", "seed": "4629968188235116114", "semantic_fingerprint": "sha256:a32f6bf99e4f0bb3ad35923984a6e194ba962671a61fe45ffbf4855eb18ab8a4", "generator_version": "3.0"}
{"id": "v3_val_00005877", "prompt": "What is -58 - (63 - (-852))?", "solution_steps": ["Subtract: 63 - (-852) = 915", "Subtract: -58 - 915 = -973"], "final_answer": "-973", "answer_type": "integer", "kind": "expression", "math_text": "-58 - (63 - (-852))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 63, \"c\": -852}", "seed": "14100096961744101121", "semantic_fingerprint": "sha256:f52a7ca698dd93e41293f75c0608aa29eb3c62bc49786e90f522d53fdb93a075", "generator_version": "3.0"}
{"id": "v3_val_00005878", "prompt": "Solve the equation x = -6x + 28 for x.", "solution_steps": ["Add 6x to both sides: 7x = 28", "Divide both sides by 7: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -6x + 28", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"c\": 28, \"x\": 4}", "seed": "12878180672542485017", "semantic_fingerprint": "sha256:752048a9c5cce4e2824f84ec373695f2310f79bf5d0182954b34fc22acaf4e6b", "generator_version": "3.0"}
{"id": "v3_val_00005879", "prompt": "Calculate: 28 + (-26)", "solution_steps": ["Add: 28 + (-26) = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "28 + (-26)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -26}", "seed": "14275569206041616549", "semantic_fingerprint": "sha256:e1e217b25ae0721dc2e99d309a69f959c614db2aa5f61ad81e2dcd89733103f4", "generator_version": "3.0"}
{"id": "v3_val_00005880", "prompt": "Find x: -11(x - 356) + 71 = 10(x + 90) + 1", "solution_steps": ["Expand: -11x + 3916 + 71 = 10(x + 90) + 1", "Expand: -11x + 3916 + 71 = 10x + 900 + 1", "Combine constants: -11x + 3987 = 10x + 900 + 1", "Combine constants: -11x + 3987 = 10x + 901", "Subtract 10x from both sides: -21x + 3987 = 901", "Subtract 3987 from both sides: -21x = -3086", "Divide both sides by -21: x = 3086/21"], "final_answer": "3086/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 356) + 71 = 10(x + 90) + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 356, \"c\": 71, \"d\": 10, \"e\": 90, \"f\": 1}", "seed": "11323914169542188875", "semantic_fingerprint": "sha256:54b5537b1fda267ee955f7f51b6e40d0e23cc7f31e2ddad0d1b54f0c008d8c6f", "generator_version": "3.0"}
{"id": "v3_val_00005881", "prompt": "Compute: 191 * 88", "solution_steps": ["Multiply: 191 * 88 = 16808"], "final_answer": "16808", "answer_type": "integer", "kind": "expression", "math_text": "191 * 88", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 191, \"b\": 88}", "seed": "2057236204333827620", "semantic_fingerprint": "sha256:0562c5dd336bb7c3a6bf83af6c3d6a4aecc2ecdbaa771f7f99db35a83ac1e931", "generator_version": "3.0"}
{"id": "v3_val_00005882", "prompt": "Calculate: -58 / 30 / (-537 - 5)", "solution_steps": ["Divide: -58 / 30 = -29/15", "Subtract: -537 - 5 = -542", "Divide: (-29/15) / (-542) = 29/8130"], "final_answer": "29/8130", "answer_type": "rational", "kind": "expression", "math_text": "-58 / 30 / (-537 - 5)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 30, \"c\": -537, \"d\": 5}", "seed": "667148307163307425", "semantic_fingerprint": "sha256:3bc489eff39bb7ba77b3f027aab9dbfc87c34af12279d9df30d88635f0a22177", "generator_version": "3.0"}
{"id": "v3_val_00005883", "prompt": "Calculate: 0 * 13 * (-98 / 3) + (41 + (-6))", "solution_steps": ["Multiply: 0 * 13 = 0", "Divide: -98 / 3 = -98/3", "Multiply: 0 * (-98/3) = 0", "Add: 41 + (-6) = 35", "Add: 0 + 35 = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "0 * 13 * (-98 / 3) + (41 + (-6))", "variable": null, "family": "expression_5op", "shape": "(+ (* (* n n) (/ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 13, \"c\": -98, \"d\": 3, \"e\": 41, \"f\": -6}", "seed": "1594486067138184195", "semantic_fingerprint": "sha256:586ae79574644e1dbb3abefb99720dddc120f2ac26e3c1ce902c2256db80cc98", "generator_version": "3.0"}
{"id": "v3_val_00005884", "prompt": "What is (-57 - 1 + (-9)) / (3 / 35 - 80)?", "solution_steps": ["Subtract: -57 - 1 = -58", "Add: -58 + (-9) = -67", "Divide: 3 / 35 = 3/35", "Subtract: 3/35 - 80 = -2797/35", "Divide: -67 / (-2797/35) = 2345/2797"], "final_answer": "2345/2797", "answer_type": "rational", "kind": "expression", "math_text": "(-57 - 1 + (-9)) / (3 / 35 - 80)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) n) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 1, \"c\": -9, \"d\": 3, \"e\": 35, \"f\": 80}", "seed": "11397730790829024074", "semantic_fingerprint": "sha256:d9282489285e53e08137e05446672e4a188ebb9b7b405a2f4102b90f28c6bd9f", "generator_version": "3.0"}
{"id": "v3_val_00005885", "prompt": "Compute: (58 + (-733) / (-37)) / (-3 * 31)", "solution_steps": ["Divide: -733 / (-37) = 733/37", "Add: 58 + 733/37 = 2879/37", "Multiply: -3 * 31 = -93", "Divide: (2879/37) / (-93) = -2879/3441"], "final_answer": "-2879/3441", "answer_type": "rational", "kind": "expression", "math_text": "(58 + (-733) / (-37)) / (-3 * 31)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -733, \"c\": -37, \"d\": -3, \"e\": 31}", "seed": "2329490017849356709", "semantic_fingerprint": "sha256:714e0056f03c553c97a471cb2341affb6ba119f2d781c9dc8de6e687f7809ec6", "generator_version": "3.0"}
{"id": "v3_val_00005886", "prompt": "Calculate: 32 + 53 / (86 / 25)", "solution_steps": ["Divide: 86 / 25 = 86/25", "Divide: 53 / (86/25) = 1325/86", "Add: 32 + 1325/86 = 4077/86"], "final_answer": "4077/86", "answer_type": "rational", "kind": "expression", "math_text": "32 + 53 / (86 / 25)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 53, \"c\": 86, \"d\": 25}", "seed": "17771142030878657371", "semantic_fingerprint": "sha256:c4ad45cdd6ceade22db6353083521ec9b43eb053954edfb1e2864e3209d5d6ec", "generator_version": "3.0"}
{"id": "v3_val_00005887", "prompt": "What is 615 / 87 - (-69) + 3?", "solution_steps": ["Divide: 615 / 87 = 205/29", "Subtract: 205/29 - (-69) = 2206/29", "Add: 2206/29 + 3 = 2293/29"], "final_answer": "2293/29", "answer_type": "rational", "kind": "expression", "math_text": "615 / 87 - (-69) + 3", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 615, \"b\": 87, \"c\": -69, \"d\": 3}", "seed": "8441955238570598379", "semantic_fingerprint": "sha256:fe6c17b3caff2380922e30c10a437146531f8d7bf2cc710a5b79e4b2e204579b", "generator_version": "3.0"}
{"id": "v3_val_00005888", "prompt": "Calculate: 7 * (-69 / (-305))", "solution_steps": ["Divide: -69 / (-305) = 69/305", "Multiply: 7 * (69/305) = 483/305"], "final_answer": "483/305", "answer_type": "rational", "kind": "expression", "math_text": "7 * (-69 / (-305))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -69, \"c\": -305}", "seed": "5126562015816940962", "semantic_fingerprint": "sha256:c6545ee7fa4d393b67c90f18f0cf1e367d7182c0bee01806913919c37e1430d7", "generator_version": "3.0"}
{"id": "v3_val_00005889", "prompt": "What value of x satisfies 8(x - 901) - 2 = 2x - 94?", "solution_steps": ["Expand: 8x - 7208 - 2 = 2x - 94", "Combine constants: 8x - 7210 = 2x - 94", "Subtract 2x from both sides: 6x - 7210 = -94", "Add 7210 to both sides: 6x = 7116", "Divide both sides by 6: x = 1186"], "final_answer": "1186", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 901) - 2 = 2x - 94", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 901, \"c\": 2, \"d\": 2, \"e\": 94}", "seed": "3592071045300875393", "semantic_fingerprint": "sha256:3173dd801943731b6f8de1b5d78c0b96acd1055340c408d3414cdbd3e54dc1e2", "generator_version": "3.0"}
{"id": "v3_val_00005890", "prompt": "Find x: -5x - 530 = -10(x + 47)", "solution_steps": ["Expand: -5x - 530 = -10x - 470", "Add 10x to both sides: 5x - 530 = -470", "Add 530 to both sides: 5x = 60", "Divide both sides by 5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 530 = -10(x + 47)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -10, \"c\": 47, \"e\": -530, \"x\": 12}", "seed": "2818584155413202782", "semantic_fingerprint": "sha256:fe8a6c42b92533473b49cc5bc80ab27cfeaf8f84c275bdf468c548a667827621", "generator_version": "3.0"}
{"id": "v3_val_00005891", "prompt": "Evaluate: 1 / (-894) + 7", "solution_steps": ["Divide: 1 / (-894) = -1/894", "Add: -1/894 + 7 = 6257/894"], "final_answer": "6257/894", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-894) + 7", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -894, \"c\": 7}", "seed": "15801805169034848087", "semantic_fingerprint": "sha256:8d0621be1c8e43de9bb73df29a6eb52d754d402b7e10dff0d23f61da3a16e37e", "generator_version": "3.0"}
{"id": "v3_val_00005892", "prompt": "Calculate: 6 + (-9 - (-80)) / (-59)", "solution_steps": ["Subtract: -9 - (-80) = 71", "Divide: 71 / (-59) = -71/59", "Add: 6 + (-71/59) = 283/59"], "final_answer": "283/59", "answer_type": "rational", "kind": "expression", "math_text": "6 + (-9 - (-80)) / (-59)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -9, \"c\": -80, \"d\": -59}", "seed": "15685610413564296405", "semantic_fingerprint": "sha256:3fd79577a200f450180ded82d71f616a77504d0c6a7b47f0ecf41c55bf64ef4b", "generator_version": "3.0"}
{"id": "v3_val_00005893", "prompt": "Compute: 59 - 9 * (-3 * 1) - (-154 - (-761))", "solution_steps": ["Multiply: -3 * 1 = -3", "Multiply: 9 * (-3) = -27", "Subtract: 59 - (-27) = 86", "Subtract: -154 - (-761) = 607", "Subtract: 86 - 607 = -521"], "final_answer": "-521", "answer_type": "integer", "kind": "expression", "math_text": "59 - 9 * (-3 * 1) - (-154 - (-761))", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n (* n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 9, \"c\": -3, \"d\": 1, \"e\": -154, \"f\": -761}", "seed": "4051635150694625123", "semantic_fingerprint": "sha256:236daf73e0ccf29b3031b3e9c7c01b7b833404acb773c84f14b928787a3c212c", "generator_version": "3.0"}
{"id": "v3_val_00005894", "prompt": "Calculate: (8 - (-8)) * 70", "solution_steps": ["Subtract: 8 - (-8) = 16", "Multiply: 16 * 70 = 1120"], "final_answer": "1120", "answer_type": "integer", "kind": "expression", "math_text": "(8 - (-8)) * 70", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"c\": 70}", "seed": "18078882728936294578", "semantic_fingerprint": "sha256:f44fd2b0ef0967bd87d6c43ffbae82b16cf871c6ccffb5fbe159827df5c29210", "generator_version": "3.0"}
{"id": "v3_val_00005895", "prompt": "Find x: x - 8 = -8x + 28", "solution_steps": ["Add 8x to both sides: 9x - 8 = 28", "Add 8 to both sides: 9x = 36", "Divide both sides by 9: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = -8x + 28", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"d\": 28, \"x\": 4}", "seed": "6693073611197332170", "semantic_fingerprint": "sha256:4012047983b9c7dd8517c12de15bc10c0cc773d7c2f52abbed2fce27e1c9959c", "generator_version": "3.0"}
{"id": "v3_val_00005896", "prompt": "Evaluate: 44 / (-3) / (13 + (-27) * 50)", "solution_steps": ["Divide: 44 / (-3) = -44/3", "Multiply: -27 * 50 = -1350", "Add: 13 + (-1350) = -1337", "Divide: (-44/3) / (-1337) = 44/4011"], "final_answer": "44/4011", "answer_type": "rational", "kind": "expression", "math_text": "44 / (-3) / (13 + (-27) * 50)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -3, \"c\": 13, \"d\": -27, \"e\": 50}", "seed": "15727014808244562347", "semantic_fingerprint": "sha256:c0e3c85e8e2a54d7045c9c5736da1b1c14731c4a34877e3e659dd77fe5df1734", "generator_version": "3.0"}
{"id": "v3_val_00005897", "prompt": "Calculate: (85 - 7) / ((85 + (-372)) * 9 + (-3))", "solution_steps": ["Subtract: 85 - 7 = 78", "Add: 85 + (-372) = -287", "Multiply: -287 * 9 = -2583", "Add: -2583 + (-3) = -2586", "Divide: 78 / (-2586) = -13/431"], "final_answer": "-13/431", "answer_type": "rational", "kind": "expression", "math_text": "(85 - 7) / ((85 + (-372)) * 9 + (-3))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (+ (* (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 7, \"c\": 85, \"d\": -372, \"e\": 9, \"f\": -3}", "seed": "2648173163413512081", "semantic_fingerprint": "sha256:43a008c3397d69d3be065a9c0dfec11fa55be80bb73fef29f4c14b566fdb8d14", "generator_version": "3.0"}
{"id": "v3_val_00005898", "prompt": "Compute: -3 + (-8)", "solution_steps": ["Add: -3 + (-8) = -11"], "final_answer": "-11", "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": "5491255773638888654", "semantic_fingerprint": "sha256:baaefa08751f9953aae5b3ec85e6784a541b9971b0e84a3b81215e579124c33e", "generator_version": "3.0"}
{"id": "v3_val_00005899", "prompt": "Calculate: -5 - (50 + 1 * (-73 * (-16))) - 1", "solution_steps": ["Multiply: -73 * (-16) = 1168", "Multiply: 1 * 1168 = 1168", "Add: 50 + 1168 = 1218", "Subtract: -5 - 1218 = -1223", "Subtract: -1223 - 1 = -1224"], "final_answer": "-1224", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (50 + 1 * (-73 * (-16))) - 1", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n (* n (* n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 50, \"c\": 1, \"d\": -73, \"e\": -16, \"f\": 1}", "seed": "10910759090932728184", "semantic_fingerprint": "sha256:8cec5c02f7d8a12f6b0f083c8dc7d6ce8fd6ebc8a4fa93e1adefe98ce8ad438d", "generator_version": "3.0"}
{"id": "v3_val_00005900", "prompt": "Compute: -987 - 91", "solution_steps": ["Subtract: -987 - 91 = -1078"], "final_answer": "-1078", "answer_type": "integer", "kind": "expression", "math_text": "-987 - 91", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -987, \"b\": 91}", "seed": "3501273991846662807", "semantic_fingerprint": "sha256:00dbc97516ac61f956445e7002fa78a958527414fcf1687c1992523fb6a93ae7", "generator_version": "3.0"}
{"id": "v3_val_00005901", "prompt": "What value of x satisfies -11(x - 5) + 1 = -5(x - 895) - 1?", "solution_steps": ["Expand: -11x + 55 + 1 = -5(x - 895) - 1", "Expand: -11x + 55 + 1 = -5x + 4475 - 1", "Combine constants: -11x + 56 = -5x + 4475 - 1", "Combine constants: -11x + 56 = -5x + 4474", "Add 5x to both sides: -6x + 56 = 4474", "Subtract 56 from both sides: -6x = 4418", "Divide both sides by -6: x = -2209/3"], "final_answer": "-2209/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 5) + 1 = -5(x - 895) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 5, \"c\": 1, \"d\": -5, \"e\": 895, \"f\": 1}", "seed": "12932424023285904310", "semantic_fingerprint": "sha256:994814c2c688ce571a287fecf9f23e30112d14012fc87c55c5b65dbc72fde1f9", "generator_version": "3.0"}
{"id": "v3_val_00005902", "prompt": "What is 73 / (-23 / 77) + (-824) * (-7)?", "solution_steps": ["Divide: -23 / 77 = -23/77", "Divide: 73 / (-23/77) = -5621/23", "Multiply: -824 * (-7) = 5768", "Add: -5621/23 + 5768 = 127043/23"], "final_answer": "127043/23", "answer_type": "rational", "kind": "expression", "math_text": "73 / (-23 / 77) + (-824) * (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -23, \"c\": 77, \"d\": -824, \"e\": -7}", "seed": "11994514505962328448", "semantic_fingerprint": "sha256:201efb1aecf60b0b76a4a0e9758829598469f6fa3723a836af499caf0e000d01", "generator_version": "3.0"}
{"id": "v3_val_00005903", "prompt": "Evaluate: 2 - (49 - (-59))", "solution_steps": ["Subtract: 49 - (-59) = 108", "Subtract: 2 - 108 = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "expression", "math_text": "2 - (49 - (-59))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 49, \"c\": -59}", "seed": "9345907936093705872", "semantic_fingerprint": "sha256:78878a0177f50dd3b3f022bc086865dada70e17ca94a907f2853a2c15c0edd89", "generator_version": "3.0"}
{"id": "v3_val_00005904", "prompt": "Solve the equation x + 990 = 9(x + 94) for x.", "solution_steps": ["Expand: x + 990 = 9x + 846", "Subtract 9x from both sides: -8x + 990 = 846", "Subtract 990 from both sides: -8x = -144", "Divide both sides by -8: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 990 = 9(x + 94)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 94, \"d\": 990, \"x\": 18}", "seed": "17963599560083384413", "semantic_fingerprint": "sha256:8c39edb6f7d60722c1ecab1b461b0c1422c90f13f0aad4617cdc9f9ddadcaf3d", "generator_version": "3.0"}
{"id": "v3_val_00005905", "prompt": "Calculate: -88 - 93 * (-41) + 510", "solution_steps": ["Multiply: 93 * (-41) = -3813", "Subtract: -88 - (-3813) = 3725", "Add: 3725 + 510 = 4235"], "final_answer": "4235", "answer_type": "integer", "kind": "expression", "math_text": "-88 - 93 * (-41) + 510", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 93, \"c\": -41, \"d\": 510}", "seed": "1050947190863065862", "semantic_fingerprint": "sha256:36eed658fe0b2b897d419499d1b868484d731a5154d30a7e56d725ef9627d6cc", "generator_version": "3.0"}
{"id": "v3_val_00005906", "prompt": "Find x: 9x + 3 = 10x - 3", "solution_steps": ["Subtract 10x from both sides: -x + 3 = -3", "Subtract 3 from both sides: -x = -6", "Divide both sides by -1: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 3 = 10x - 3", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 10, \"e\": -3, \"x\": 6}", "seed": "6382922943728187955", "semantic_fingerprint": "sha256:5db82bc66a33055db456e13f9f57a54b75790d9fc7db6eb7dc4cead7e4b36767", "generator_version": "3.0"}
{"id": "v3_val_00005907", "prompt": "Calculate: -12 * (282 * 62)", "solution_steps": ["Multiply: 282 * 62 = 17484", "Multiply: -12 * 17484 = -209808"], "final_answer": "-209808", "answer_type": "integer", "kind": "expression", "math_text": "-12 * (282 * 62)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 282, \"c\": 62}", "seed": "2751186056852576635", "semantic_fingerprint": "sha256:558eb533542b3c205e3db0cfbdcea9c129ad565433bdbf5784b7d8ac80c6de0f", "generator_version": "3.0"}
{"id": "v3_val_00005908", "prompt": "Solve for x: -9x - 42 = -6(x - 62) + 9", "solution_steps": ["Expand: -9x - 42 = -6x + 372 + 9", "Combine constants: -9x - 42 = -6x + 381", "Add 6x to both sides: -3x - 42 = 381", "Add 42 to both sides: -3x = 423", "Divide both sides by -3: x = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 42 = -6(x - 62) + 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 42, \"c\": -6, \"d\": 62, \"e\": 9}", "seed": "13749913740498742930", "semantic_fingerprint": "sha256:f3498e48bf04dbf7348d617104318bb619f6f00d17d7d6c21a0dcc4a0fd5cf79", "generator_version": "3.0"}
{"id": "v3_val_00005909", "prompt": "Find x: x - 2 = -8(x + 216) + 6", "solution_steps": ["Expand: x - 2 = -8x - 1728 + 6", "Combine constants: x - 2 = -8x - 1722", "Add 8x to both sides: 9x - 2 = -1722", "Add 2 to both sides: 9x = -1720", "Divide both sides by 9: x = -1720/9"], "final_answer": "-1720/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2 = -8(x + 216) + 6", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -8, \"c\": 216, \"d\": 6}", "seed": "10503963598286292339", "semantic_fingerprint": "sha256:19e4b515a6335b0b18ddac11d953168bdc88abde6a44ac86711ff58bca005c96", "generator_version": "3.0"}
{"id": "v3_val_00005910", "prompt": "Solve for x: x - 400 = 6(x + 1) - 396", "solution_steps": ["Expand: x - 400 = 6x + 6 - 396", "Combine constants: x - 400 = 6x - 390", "Subtract 6x from both sides: -5x - 400 = -390", "Add 400 to both sides: -5x = 10", "Divide both sides by -5: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 400 = 6(x + 1) - 396", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 400, \"b\": 6, \"c\": 1, \"e\": -396, \"x\": -2}", "seed": "121064815931311389", "semantic_fingerprint": "sha256:720b98db5f0fadb356a31dae995c33e36d0222183f0dd6701b71966ba66704d7", "generator_version": "3.0"}
{"id": "v3_val_00005911", "prompt": "Evaluate: -29 * (-84) - (-60) - (-22)", "solution_steps": ["Multiply: -29 * (-84) = 2436", "Subtract: 2436 - (-60) = 2496", "Subtract: 2496 - (-22) = 2518"], "final_answer": "2518", "answer_type": "integer", "kind": "expression", "math_text": "-29 * (-84) - (-60) - (-22)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -84, \"c\": -60, \"d\": -22}", "seed": "6805925879822892760", "semantic_fingerprint": "sha256:3baeea9c03a6b8e61fa86a8307ed026fed82a0c3e19eaf97a88fb39511908af6", "generator_version": "3.0"}
{"id": "v3_val_00005912", "prompt": "Calculate: -5 * (-73) - (474 + (-4) + 31)", "solution_steps": ["Multiply: -5 * (-73) = 365", "Add: 474 + (-4) = 470", "Add: 470 + 31 = 501", "Subtract: 365 - 501 = -136"], "final_answer": "-136", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-73) - (474 + (-4) + 31)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -73, \"c\": 474, \"d\": -4, \"e\": 31}", "seed": "8665797527441480195", "semantic_fingerprint": "sha256:3fba8997012755f2e7f8d318347b0981f546edec5235141c23ca98ba68046654", "generator_version": "3.0"}
{"id": "v3_val_00005913", "prompt": "Solve the equation 6(x + 52) = x + 382 for x.", "solution_steps": ["Expand: 6x + 312 = x + 382", "Subtract x from both sides: 5x + 312 = 382", "Subtract 312 from both sides: 5x = 70", "Divide both sides by 5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 52) = x + 382", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 52, \"d\": 382, \"x\": 14}", "seed": "6184618316520124364", "semantic_fingerprint": "sha256:ebade6350ae54b7fbe374f1bfa94a67c4c5a7a7b1a3befce30b7ae7da58de0b6", "generator_version": "3.0"}
{"id": "v3_val_00005914", "prompt": "What is 720 + (-866) * 7?", "solution_steps": ["Multiply: -866 * 7 = -6062", "Add: 720 + (-6062) = -5342"], "final_answer": "-5342", "answer_type": "integer", "kind": "expression", "math_text": "720 + (-866) * 7", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 720, \"b\": -866, \"c\": 7}", "seed": "5539274204455091266", "semantic_fingerprint": "sha256:f82edd4c0d04267ba13371d399f97c26a92bbde23e247f49e4dcbc252e8a937d", "generator_version": "3.0"}
{"id": "v3_val_00005915", "prompt": "Find x: x - 9 = 7(x + 65) - 66", "solution_steps": ["Expand: x - 9 = 7x + 455 - 66", "Combine constants: x - 9 = 7x + 389", "Subtract 7x from both sides: -6x - 9 = 389", "Add 9 to both sides: -6x = 398", "Divide both sides by -6: x = -199/3"], "final_answer": "-199/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9 = 7(x + 65) - 66", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 65, \"d\": 66}", "seed": "5725082809615556443", "semantic_fingerprint": "sha256:927081fa58f9e6425b806958d32201703fabfff41fedb8c1aa9eca093112c818", "generator_version": "3.0"}
{"id": "v3_val_00005916", "prompt": "What is (721 + 9) / (-77 - 168)?", "solution_steps": ["Add: 721 + 9 = 730", "Subtract: -77 - 168 = -245", "Divide: 730 / (-245) = -146/49"], "final_answer": "-146/49", "answer_type": "rational", "kind": "expression", "math_text": "(721 + 9) / (-77 - 168)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 721, \"b\": 9, \"c\": -77, \"d\": 168}", "seed": "15412966354983649168", "semantic_fingerprint": "sha256:d5f8623ae226eec49c5a97555bc2afb36964418a29c1db132f5c0971bb2edd8d", "generator_version": "3.0"}
{"id": "v3_val_00005917", "prompt": "Calculate: 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": "3727090100348930197", "semantic_fingerprint": "sha256:d1ef4c5f222253878a9a9948f882298ac0ddd3ff5bf3b2c50625ca948c9b3970", "generator_version": "3.0"}
{"id": "v3_val_00005918", "prompt": "Evaluate: -98 / (-2)", "solution_steps": ["Divide: -98 / (-2) = 49"], "final_answer": "49", "answer_type": "integer", "kind": "expression", "math_text": "-98 / (-2)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -2}", "seed": "8140294218464712212", "semantic_fingerprint": "sha256:35e83b8dbd9af127b9d1d139b79e13f5b4c3c7af49b7f70d0b3974e357a43592", "generator_version": "3.0"}
{"id": "v3_val_00005919", "prompt": "Evaluate: (-8 + (-7)) / (-6)", "solution_steps": ["Add: -8 + (-7) = -15", "Divide: -15 / (-6) = 5/2"], "final_answer": "5/2", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (-7)) / (-6)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -7, \"c\": -6}", "seed": "16163039761061627831", "semantic_fingerprint": "sha256:cae19efef017139237164629f23d3e195d14ffd1053f95aae62bafc8fd81324f", "generator_version": "3.0"}
{"id": "v3_val_00005920", "prompt": "What value of x satisfies 9(x - 48) = x - 512?", "solution_steps": ["Expand: 9x - 432 = x - 512", "Subtract x from both sides: 8x - 432 = -512", "Add 432 to both sides: 8x = -80", "Divide both sides by 8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 48) = x - 512", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 48, \"d\": -512, \"x\": -10}", "seed": "5253871408976433684", "semantic_fingerprint": "sha256:2242630b02d38ea283e7828c620ac388feeb5ed5ece12f896fe039d37680a4bd", "generator_version": "3.0"}
{"id": "v3_val_00005921", "prompt": "Solve for x: 5(x - 2) = x - 5", "solution_steps": ["Expand: 5x - 10 = x - 5", "Subtract x from both sides: 4x - 10 = -5", "Add 10 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": "5(x - 2) = x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 5}", "seed": "13432545072839652096", "semantic_fingerprint": "sha256:8350dd356bba35f5b1406e40abc17bfd5ce8cd7103511c143da814a0f53bd43a", "generator_version": "3.0"}
{"id": "v3_val_00005922", "prompt": "What value of x satisfies 8(x + 63) = x + 553?", "solution_steps": ["Expand: 8x + 504 = x + 553", "Subtract x from both sides: 7x + 504 = 553", "Subtract 504 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 + 63) = x + 553", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 63, \"d\": 553, \"x\": 7}", "seed": "18362738718377613807", "semantic_fingerprint": "sha256:e08205e065b9098c10d35262700c5b7a914eb9c53c9cb1e5469493f2825a4bb4", "generator_version": "3.0"}
{"id": "v3_val_00005923", "prompt": "Compute: 77 + (42 + (-5))", "solution_steps": ["Add: 42 + (-5) = 37", "Add: 77 + 37 = 114"], "final_answer": "114", "answer_type": "integer", "kind": "expression", "math_text": "77 + (42 + (-5))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 42, \"c\": -5}", "seed": "1634610268816303418", "semantic_fingerprint": "sha256:d492d99e07b37e2fe160b98b7cb6149ef76755be5eef9a92091541d3722cf016", "generator_version": "3.0"}
{"id": "v3_val_00005924", "prompt": "Solve the equation -6x + 716 = 740 for x.", "solution_steps": ["Subtract 716 from both sides: -6x = 24", "Divide both sides by -6: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x + 716 = 740", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 716, \"d\": 740, \"x\": -4}", "seed": "14604827163969958937", "semantic_fingerprint": "sha256:45ecc68a736720c183a65ea9b82b5c6146314a52c8e8ae3841210b6d8e99d98c", "generator_version": "3.0"}
{"id": "v3_val_00005925", "prompt": "Find x: 4x + 89 = -3(x - 57) - 3", "solution_steps": ["Expand: 4x + 89 = -3x + 171 - 3", "Combine constants: 4x + 89 = -3x + 168", "Add 3x to both sides: 7x + 89 = 168", "Subtract 89 from both sides: 7x = 79", "Divide both sides by 7: x = 79/7"], "final_answer": "79/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x + 89 = -3(x - 57) - 3", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 89, \"c\": -3, \"d\": 57, \"e\": 3}", "seed": "5462483239966254805", "semantic_fingerprint": "sha256:7245c7a9489166f2c1c8d687d7330855727d526724ccf2796546c71c1615fce8", "generator_version": "3.0"}
{"id": "v3_val_00005926", "prompt": "What value of x satisfies -5(x + 63) = 7x?", "solution_steps": ["Expand: -5x - 315 = 7x", "Subtract 7x from both sides: -12x - 315 = 0", "Add 315 to both sides: -12x = 315", "Divide both sides by -12: x = -105/4"], "final_answer": "-105/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 63) = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 63, \"c\": 7}", "seed": "7319748470179009805", "semantic_fingerprint": "sha256:149d283d6a75a3e143e25833442c34f5b2d3fb4f13cd60c44f710cab65c3666c", "generator_version": "3.0"}
{"id": "v3_val_00005927", "prompt": "Solve for x: 3(x - 50) - 4 = 9(x - 55) + 341", "solution_steps": ["Expand: 3x - 150 - 4 = 9(x - 55) + 341", "Expand: 3x - 150 - 4 = 9x - 495 + 341", "Combine constants: 3x - 154 = 9x - 495 + 341", "Combine constants: 3x - 154 = 9x - 154", "Subtract 9x from both sides: -6x - 154 = -154", "Add 154 to both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 50) - 4 = 9(x - 55) + 341", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 50, \"c\": 4, \"d\": 9, \"e\": 55, \"g\": 341, \"x\": 0}", "seed": "8095123387710845529", "semantic_fingerprint": "sha256:2dad97df4212157f2184fb657e70a94e26006ecf9f958e57b1af9b9c0b90f76e", "generator_version": "3.0"}
{"id": "v3_val_00005928", "prompt": "Calculate: -6 / (-72 * (-7))", "solution_steps": ["Multiply: -72 * (-7) = 504", "Divide: -6 / 504 = -1/84"], "final_answer": "-1/84", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-72 * (-7))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -72, \"c\": -7}", "seed": "12182140977511083529", "semantic_fingerprint": "sha256:1c5fcb40b1fee4809fd4893642df3c26c3b2ee1d85e09e906c6b7bca740c3aff", "generator_version": "3.0"}
{"id": "v3_val_00005929", "prompt": "Compute: -54 + (-3)", "solution_steps": ["Add: -54 + (-3) = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "expression", "math_text": "-54 + (-3)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -3}", "seed": "149945843266806131", "semantic_fingerprint": "sha256:3098d2d3376597b7404e4181c0a45491285448c86100832dbff7b252ffe2446d", "generator_version": "3.0"}
{"id": "v3_val_00005930", "prompt": "Calculate: (-13 / (-1) + (-56)) * 53 + (-2)", "solution_steps": ["Divide: -13 / (-1) = 13", "Add: 13 + (-56) = -43", "Multiply: -43 * 53 = -2279", "Add: -2279 + (-2) = -2281"], "final_answer": "-2281", "answer_type": "integer", "kind": "expression", "math_text": "(-13 / (-1) + (-56)) * 53 + (-2)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -1, \"c\": -56, \"d\": 53, \"e\": -2}", "seed": "15951360604820464174", "semantic_fingerprint": "sha256:83d80db2f42072faf4b56c52e3bc69198564a8400c415e425b0d5893e2055465", "generator_version": "3.0"}
{"id": "v3_val_00005931", "prompt": "Compute: -76 * 105 * (-2)", "solution_steps": ["Multiply: -76 * 105 = -7980", "Multiply: -7980 * (-2) = 15960"], "final_answer": "15960", "answer_type": "integer", "kind": "expression", "math_text": "-76 * 105 * (-2)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 105, \"c\": -2}", "seed": "9090077980674463517", "semantic_fingerprint": "sha256:f2b9d1c98d0e3856e35a1899517ff5baf6d8925ca97aa108201027cb66c670ae", "generator_version": "3.0"}
{"id": "v3_val_00005932", "prompt": "What value of x satisfies -11(x - 48) - 16 = x - 626?", "solution_steps": ["Expand: -11x + 528 - 16 = x - 626", "Combine constants: -11x + 512 = x - 626", "Subtract x from both sides: -12x + 512 = -626", "Subtract 512 from both sides: -12x = -1138", "Divide both sides by -12: x = 569/6"], "final_answer": "569/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 48) - 16 = x - 626", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 48, \"c\": 16, \"d\": 626}", "seed": "7063003729807379997", "semantic_fingerprint": "sha256:06111f284f4126e69b52cb52409a970291b85cee4e1956e9ef6a2c4e66d81cd5", "generator_version": "3.0"}
{"id": "v3_val_00005933", "prompt": "Solve the equation -5x = -7(x - 1) - 4 for x.", "solution_steps": ["Expand: -5x = -7x + 7 - 4", "Combine constants: -5x = -7x + 3", "Add 7x to both sides: 2x = 3", "Divide both sides by 2: x = 3/2"], "final_answer": "3/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = -7(x - 1) - 4", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -7, \"c\": 1, \"d\": 4}", "seed": "8732558707121282471", "semantic_fingerprint": "sha256:91493f31a28dfa07d01170669a6296605aa368767bb9073a5f94583d9d35b9b4", "generator_version": "3.0"}
{"id": "v3_val_00005934", "prompt": "Evaluate: (290 + 0 - 0 * (-52)) / 17 / (-8)", "solution_steps": ["Add: 290 + 0 = 290", "Multiply: 0 * (-52) = 0", "Subtract: 290 - 0 = 290", "Divide: 290 / 17 = 290/17", "Divide: (290/17) / (-8) = -145/68"], "final_answer": "-145/68", "answer_type": "rational", "kind": "expression", "math_text": "(290 + 0 - 0 * (-52)) / 17 / (-8)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- (+ n n) (* n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 290, \"b\": 0, \"c\": 0, \"d\": -52, \"e\": 17, \"f\": -8}", "seed": "13724484775378295441", "semantic_fingerprint": "sha256:f4c5f6a0be8bf8730a42aeb19aa3424112d87a88c6fe8321a7b2956fd8054646", "generator_version": "3.0"}
{"id": "v3_val_00005935", "prompt": "Find x: -12x = -5(x - 256)", "solution_steps": ["Expand: -12x = -5x + 1280", "Add 5x to both sides: -7x = 1280", "Divide both sides by -7: x = -1280/7"], "final_answer": "-1280/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = -5(x - 256)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -5, \"c\": 256}", "seed": "5985720508558944669", "semantic_fingerprint": "sha256:29f421a32bff4c4c4f5b9c11d74df5b73c768e67683d8bf64e78be2be771ac2a", "generator_version": "3.0"}
{"id": "v3_val_00005936", "prompt": "Find x: 12(x - 698) = 2x + 79", "solution_steps": ["Expand: 12x - 8376 = 2x + 79", "Subtract 2x from both sides: 10x - 8376 = 79", "Add 8376 to both sides: 10x = 8455", "Divide both sides by 10: x = 1691/2"], "final_answer": "1691/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 698) = 2x + 79", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 698, \"c\": 2, \"d\": 79}", "seed": "2510356977016435226", "semantic_fingerprint": "sha256:3aa83b5a0d92f060840020f93c1f51bdf0d4cea7ca56b6263d9458fcff6b1be5", "generator_version": "3.0"}
{"id": "v3_val_00005937", "prompt": "Solve the equation 6(x + 38) - 248 = x for x.", "solution_steps": ["Expand: 6x + 228 - 248 = x", "Combine constants: 6x - 20 = x", "Subtract x from both sides: 5x - 20 = 0", "Add 20 to both sides: 5x = 20", "Divide both sides by 5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 38) - 248 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 38, \"d\": -248, \"x\": 4}", "seed": "3927804959289791872", "semantic_fingerprint": "sha256:0283820827abd19cbc55f9ee9a18f006d85c8e641684e777bb6537b7130e9824", "generator_version": "3.0"}
{"id": "v3_val_00005938", "prompt": "What is 77 / (47 * (-6) * (-99))?", "solution_steps": ["Multiply: 47 * (-6) = -282", "Multiply: -282 * (-99) = 27918", "Divide: 77 / 27918 = 7/2538"], "final_answer": "7/2538", "answer_type": "rational", "kind": "expression", "math_text": "77 / (47 * (-6) * (-99))", "variable": null, "family": "expression_3op", "shape": "(/ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 47, \"c\": -6, \"d\": -99}", "seed": "5380960591673373425", "semantic_fingerprint": "sha256:58d750ca28d8bd63519f76eb33f997615b6f49d9126b85e3bd75a99f305c7fc0", "generator_version": "3.0"}
{"id": "v3_val_00005939", "prompt": "Solve for x: 2x - 762 = -2(x + 91) - 592", "solution_steps": ["Expand: 2x - 762 = -2x - 182 - 592", "Combine constants: 2x - 762 = -2x - 774", "Add 2x to both sides: 4x - 762 = -774", "Add 762 to both sides: 4x = -12", "Divide both sides by 4: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 762 = -2(x + 91) - 592", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 762, \"c\": -2, \"d\": 91, \"f\": -592, \"x\": -3}", "seed": "4975503666139319246", "semantic_fingerprint": "sha256:d76f96f454cf0e9d72b29462b2fcf32d4db376e3ad12d93df8678106cdac0bb8", "generator_version": "3.0"}
{"id": "v3_val_00005940", "prompt": "Solve the equation 8x = -10(x - 1) - 370 for x.", "solution_steps": ["Expand: 8x = -10x + 10 - 370", "Combine constants: 8x = -10x - 360", "Add 10x to both sides: 18x = -360", "Divide both sides by 18: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -10(x - 1) - 370", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -10, \"c\": 1, \"e\": -370, \"x\": -20}", "seed": "6309946525278964188", "semantic_fingerprint": "sha256:10a01b210fc8f737eb17e98c1b3e5b7e7f567984f11b789bbb7e6ea7040adc14", "generator_version": "3.0"}
{"id": "v3_val_00005941", "prompt": "What is -8 * 0 - 93?", "solution_steps": ["Multiply: -8 * 0 = 0", "Subtract: 0 - 93 = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 0 - 93", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0, \"c\": 93}", "seed": "5767299644249578735", "semantic_fingerprint": "sha256:448fd3453304ee5dee1d09b70330001c1f9b09dad045cd273e4789ab1cf6d89a", "generator_version": "3.0"}
{"id": "v3_val_00005942", "prompt": "Calculate: -40 * (-41 - 70) - (-2)", "solution_steps": ["Subtract: -41 - 70 = -111", "Multiply: -40 * (-111) = 4440", "Subtract: 4440 - (-2) = 4442"], "final_answer": "4442", "answer_type": "integer", "kind": "expression", "math_text": "-40 * (-41 - 70) - (-2)", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -41, \"c\": 70, \"d\": -2}", "seed": "3835332681452305007", "semantic_fingerprint": "sha256:a439fe6cdf306ff70fbf47361eda7cec6cd46810729eda407a8eb5e102422534", "generator_version": "3.0"}
{"id": "v3_val_00005943", "prompt": "What is (-2 + (-91)) * (-38) + (-967 + (-36 + (-50)))?", "solution_steps": ["Add: -2 + (-91) = -93", "Multiply: -93 * (-38) = 3534", "Add: -36 + (-50) = -86", "Add: -967 + (-86) = -1053", "Add: 3534 + (-1053) = 2481"], "final_answer": "2481", "answer_type": "integer", "kind": "expression", "math_text": "(-2 + (-91)) * (-38) + (-967 + (-36 + (-50)))", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -91, \"c\": -38, \"d\": -967, \"e\": -36, \"f\": -50}", "seed": "7146137531444028493", "semantic_fingerprint": "sha256:a2af452ce244c954eb306a0dbfdcabd26c60fb5c5a279a939d65713acecfaf2b", "generator_version": "3.0"}
{"id": "v3_val_00005944", "prompt": "Compute: 32 / (607 + (-4))", "solution_steps": ["Add: 607 + (-4) = 603", "Divide: 32 / 603 = 32/603"], "final_answer": "32/603", "answer_type": "rational", "kind": "expression", "math_text": "32 / (607 + (-4))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 607, \"c\": -4}", "seed": "9240978586633323682", "semantic_fingerprint": "sha256:96c0aaf3252f1412bacb679fee49ff9263b47c2c8e5e4674b04ae401bbc91f3c", "generator_version": "3.0"}
{"id": "v3_val_00005945", "prompt": "What value of x satisfies 9(x - 1) + 244 = x + 187?", "solution_steps": ["Expand: 9x - 9 + 244 = x + 187", "Combine constants: 9x + 235 = x + 187", "Subtract x from both sides: 8x + 235 = 187", "Subtract 235 from both sides: 8x = -48", "Divide both sides by 8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 1) + 244 = x + 187", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 244, \"e\": 187, \"x\": -6}", "seed": "16691018298074302602", "semantic_fingerprint": "sha256:6d6f5fe1b59f648c368594ff5234195c9772b54307b4fa89afe627b8b14c7a8d", "generator_version": "3.0"}
{"id": "v3_val_00005946", "prompt": "What value of x satisfies x + 824 = 8(x + 89)?", "solution_steps": ["Expand: x + 824 = 8x + 712", "Subtract 8x from both sides: -7x + 824 = 712", "Subtract 824 from both sides: -7x = -112", "Divide both sides by -7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 824 = 8(x + 89)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 89, \"d\": 824, \"x\": 16}", "seed": "13828624435658506544", "semantic_fingerprint": "sha256:a47bef3fd0351af1f4875a9232dae75d49bcf5ea7c77f630c5a8209ad93e9301", "generator_version": "3.0"}
{"id": "v3_val_00005947", "prompt": "What is 601 + (-6) - (-97 - (-40))?", "solution_steps": ["Add: 601 + (-6) = 595", "Subtract: -97 - (-40) = -57", "Subtract: 595 - (-57) = 652"], "final_answer": "652", "answer_type": "integer", "kind": "expression", "math_text": "601 + (-6) - (-97 - (-40))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 601, \"b\": -6, \"c\": -97, \"d\": -40}", "seed": "18221027168740472029", "semantic_fingerprint": "sha256:e733b98d0875200c52d0736d2403c5fa971e6b98a398b277cee26e7e434df2d9", "generator_version": "3.0"}
{"id": "v3_val_00005948", "prompt": "What is -5 * 5 + 51 / (-96)?", "solution_steps": ["Multiply: -5 * 5 = -25", "Divide: 51 / (-96) = -17/32", "Add: -25 + (-17/32) = -817/32"], "final_answer": "-817/32", "answer_type": "rational", "kind": "expression", "math_text": "-5 * 5 + 51 / (-96)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": 51, \"d\": -96}", "seed": "18314084596560647983", "semantic_fingerprint": "sha256:30c4f01d6c376e60a8e82034ab8de5f118aa1ac3f223fc667da0608b9d7c1747", "generator_version": "3.0"}
{"id": "v3_val_00005949", "prompt": "Solve for x: 12(x + 25) - 97 = 4(x - 7) + 343", "solution_steps": ["Expand: 12x + 300 - 97 = 4(x - 7) + 343", "Expand: 12x + 300 - 97 = 4x - 28 + 343", "Combine constants: 12x + 203 = 4x - 28 + 343", "Combine constants: 12x + 203 = 4x + 315", "Subtract 4x from both sides: 8x + 203 = 315", "Subtract 203 from both sides: 8x = 112", "Divide both sides by 8: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 25) - 97 = 4(x - 7) + 343", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 25, \"c\": 97, \"d\": 4, \"e\": 7, \"g\": 343, \"x\": 14}", "seed": "10365911682652538004", "semantic_fingerprint": "sha256:4572851b25cbda1e354242e34cc1994defb05e69e89626881f82c42518ea215e", "generator_version": "3.0"}
{"id": "v3_val_00005950", "prompt": "Find x: 9x + 260 = x + 212", "solution_steps": ["Subtract x from both sides: 8x + 260 = 212", "Subtract 260 from both sides: 8x = -48", "Divide both sides by 8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 260 = x + 212", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 260, \"d\": 212, \"x\": -6}", "seed": "8214947480877870858", "semantic_fingerprint": "sha256:21b29585909ca2ffac8b2035be44c79c5c39dcf0024be4b369848803fe425a05", "generator_version": "3.0"}
{"id": "v3_val_00005951", "prompt": "Evaluate: 78 / 222 - 77", "solution_steps": ["Divide: 78 / 222 = 13/37", "Subtract: 13/37 - 77 = -2836/37"], "final_answer": "-2836/37", "answer_type": "rational", "kind": "expression", "math_text": "78 / 222 - 77", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 222, \"c\": 77}", "seed": "5742296080775338077", "semantic_fingerprint": "sha256:f687a09812077573e87fa6cdc1692e690990adfc53ff7a243a9343fd42da4e03", "generator_version": "3.0"}
{"id": "v3_val_00005952", "prompt": "What is (0 + (-22)) / 135 * (-43)?", "solution_steps": ["Add: 0 + (-22) = -22", "Divide: -22 / 135 = -22/135", "Multiply: (-22/135) * (-43) = 946/135"], "final_answer": "946/135", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-22)) / 135 * (-43)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -22, \"c\": 135, \"d\": -43}", "seed": "16568689573503181547", "semantic_fingerprint": "sha256:44781f691709570f0bfdb400d17b036670ded128c65b03126bd42252e34f40c2", "generator_version": "3.0"}
{"id": "v3_val_00005953", "prompt": "What value of x satisfies 7(x - 1) = 2(x - 4) + 1?", "solution_steps": ["Expand: 7x - 7 = 2(x - 4) + 1", "Expand: 7x - 7 = 2x - 8 + 1", "Combine constants: 7x - 7 = 2x - 7", "Subtract 2x from both sides: 5x - 7 = -7", "Add 7 to both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 1) = 2(x - 4) + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 2, \"d\": 4, \"f\": 1, \"x\": 0}", "seed": "17309531231047675038", "semantic_fingerprint": "sha256:91c2938d7b5d727960b8b19301fef0835fa99922ef6b2e1c21c97d898a528a0f", "generator_version": "3.0"}
{"id": "v3_val_00005954", "prompt": "Calculate: 68 + (-524 - 310)", "solution_steps": ["Subtract: -524 - 310 = -834", "Add: 68 + (-834) = -766"], "final_answer": "-766", "answer_type": "integer", "kind": "expression", "math_text": "68 + (-524 - 310)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -524, \"c\": 310}", "seed": "3119866602632381186", "semantic_fingerprint": "sha256:4f63a7dc0eaa2c8ea02ee0fdfa6de04167fad003e538d5ae5377bb41a0d6962a", "generator_version": "3.0"}
{"id": "v3_val_00005955", "prompt": "Evaluate: -8 - (-61 + (-81))", "solution_steps": ["Add: -61 + (-81) = -142", "Subtract: -8 - (-142) = 134"], "final_answer": "134", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-61 + (-81))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -61, \"c\": -81}", "seed": "10700186340487588330", "semantic_fingerprint": "sha256:6ec6482e6624ef175f5dc0786247f73932d9da645271c3b7631f2e038c0782a4", "generator_version": "3.0"}
{"id": "v3_val_00005956", "prompt": "Calculate: -156 - (9 + 19) - 2 / (-902)", "solution_steps": ["Add: 9 + 19 = 28", "Subtract: -156 - 28 = -184", "Divide: 2 / (-902) = -1/451", "Subtract: -184 - (-1/451) = -82983/451"], "final_answer": "-82983/451", "answer_type": "rational", "kind": "expression", "math_text": "-156 - (9 + 19) - 2 / (-902)", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -156, \"b\": 9, \"c\": 19, \"d\": 2, \"e\": -902}", "seed": "1720426827382677610", "semantic_fingerprint": "sha256:b71cbcdb04d06974c1427f7472d525e9a011787e05fcf0af615493fa3f894791", "generator_version": "3.0"}
{"id": "v3_val_00005957", "prompt": "Find x: 8(x + 926) = -8(x - 81)", "solution_steps": ["Expand: 8x + 7408 = -8(x - 81)", "Expand: 8x + 7408 = -8x + 648", "Add 8x to both sides: 16x + 7408 = 648", "Subtract 7408 from both sides: 16x = -6760", "Divide both sides by 16: x = -845/2"], "final_answer": "-845/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 926) = -8(x - 81)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 926, \"c\": -8, \"d\": 81}", "seed": "5689881716145829661", "semantic_fingerprint": "sha256:c91b6d8d0bcaf8595b837a7bf983a2eb041fbea04267f160bf50f06cfc5b1490", "generator_version": "3.0"}
{"id": "v3_val_00005958", "prompt": "Evaluate: 8 / 64 * (-7 * (-6 * 0) / 3)", "solution_steps": ["Divide: 8 / 64 = 1/8", "Multiply: -6 * 0 = 0", "Multiply: -7 * 0 = 0", "Divide: 0 / 3 = 0", "Multiply: (1/8) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "8 / 64 * (-7 * (-6 * 0) / 3)", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (/ (* n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 64, \"c\": -7, \"d\": -6, \"e\": 0, \"f\": 3}", "seed": "11243832271197707657", "semantic_fingerprint": "sha256:9bbb55a4d43583edea955729fa8a5f0691116c89251d39ce7d3e9fe8e32265c0", "generator_version": "3.0"}
{"id": "v3_val_00005959", "prompt": "Evaluate: -38 - (-184 - (-89))", "solution_steps": ["Subtract: -184 - (-89) = -95", "Subtract: -38 - (-95) = 57"], "final_answer": "57", "answer_type": "integer", "kind": "expression", "math_text": "-38 - (-184 - (-89))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -184, \"c\": -89}", "seed": "10952624842210406564", "semantic_fingerprint": "sha256:c654a3a20a4c64a65c1818c76aab39d62679bb4ffcbdef0d6bf5df8cbf5fe72d", "generator_version": "3.0"}
{"id": "v3_val_00005960", "prompt": "Compute: 0 * (-56) - 5", "solution_steps": ["Multiply: 0 * (-56) = 0", "Subtract: 0 - 5 = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-56) - 5", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -56, \"c\": 5}", "seed": "18320910056694832647", "semantic_fingerprint": "sha256:a6dd64429da02cf14aadb696964deaba3a13cb5fcf3f043d34c94deec942d25b", "generator_version": "3.0"}
{"id": "v3_val_00005961", "prompt": "Solve the equation 10x = -100 for x.", "solution_steps": ["Divide both sides by 10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -100", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": -100, \"x\": -10}", "seed": "3725351617063379436", "semantic_fingerprint": "sha256:f1f6331e292c7a705ce7fb83aeaaed34c1d9f155ddc72cf3a462ec6ffc7af696", "generator_version": "3.0"}
{"id": "v3_val_00005962", "prompt": "What is (9 - (-66)) / (-58 - 0 / 821)?", "solution_steps": ["Subtract: 9 - (-66) = 75", "Divide: 0 / 821 = 0", "Subtract: -58 - 0 = -58", "Divide: 75 / (-58) = -75/58"], "final_answer": "-75/58", "answer_type": "rational", "kind": "expression", "math_text": "(9 - (-66)) / (-58 - 0 / 821)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -66, \"c\": -58, \"d\": 0, \"e\": 821}", "seed": "286044325065366348", "semantic_fingerprint": "sha256:e6e3412ec3e55ee23b017489e7a7f821e63c7e1b2b8c2204f727011206edb72b", "generator_version": "3.0"}
{"id": "v3_val_00005963", "prompt": "Compute: (-582 - (-984)) / (-33 + (-1))", "solution_steps": ["Subtract: -582 - (-984) = 402", "Add: -33 + (-1) = -34", "Divide: 402 / (-34) = -201/17"], "final_answer": "-201/17", "answer_type": "rational", "kind": "expression", "math_text": "(-582 - (-984)) / (-33 + (-1))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -582, \"b\": -984, \"c\": -33, \"d\": -1}", "seed": "18248408415170769092", "semantic_fingerprint": "sha256:d98dceb5e330d7838730e877a8b38aa35a36f9926c94fa6443ed8d6aa78a3e1d", "generator_version": "3.0"}
{"id": "v3_val_00005964", "prompt": "Evaluate: -3 / 698", "solution_steps": ["Divide: -3 / 698 = -3/698"], "final_answer": "-3/698", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 698", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 698}", "seed": "690622905374101248", "semantic_fingerprint": "sha256:27bb9590bba9011dd7af3bcccdc3151db36781a5cbd025a27bf2e9e7d14fe88c", "generator_version": "3.0"}
{"id": "v3_val_00005965", "prompt": "What value of x satisfies 2x + 900 = 9(x + 100)?", "solution_steps": ["Expand: 2x + 900 = 9x + 900", "Subtract 9x from both sides: -7x + 900 = 900", "Subtract 900 from both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 900 = 9(x + 100)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 100, \"e\": 900, \"x\": 0}", "seed": "14146906678807829520", "semantic_fingerprint": "sha256:6b38a28e1652a168c252ccdd1d42ab44e1a5cdcea0f826cb0a539eaa53c7e62c", "generator_version": "3.0"}
{"id": "v3_val_00005966", "prompt": "What value of x satisfies x - 56 = 7(x - 8)?", "solution_steps": ["Expand: x - 56 = 7x - 56", "Subtract 7x from both sides: -6x - 56 = -56", "Add 56 to both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 56 = 7(x - 8)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"d\": -56, \"x\": 0}", "seed": "7568994588198298807", "semantic_fingerprint": "sha256:3b075cd62ac0c38f1d04a43a5c12dfd8f6ff25a52ae748f7a968c2e1dba1eed6", "generator_version": "3.0"}
{"id": "v3_val_00005967", "prompt": "Compute: -8 / (-39) / (18 - 36)", "solution_steps": ["Divide: -8 / (-39) = 8/39", "Subtract: 18 - 36 = -18", "Divide: (8/39) / (-18) = -4/351"], "final_answer": "-4/351", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-39) / (18 - 36)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -39, \"c\": 18, \"d\": 36}", "seed": "15900235281730557090", "semantic_fingerprint": "sha256:f76adfccbd1acca51e514e580e1340c2dc6557a5f2479c232ded7ff893f43968", "generator_version": "3.0"}
{"id": "v3_val_00005968", "prompt": "Calculate: 68 / 1 * (-8 + (49 - 338))", "solution_steps": ["Divide: 68 / 1 = 68", "Subtract: 49 - 338 = -289", "Add: -8 + (-289) = -297", "Multiply: 68 * (-297) = -20196"], "final_answer": "-20196", "answer_type": "integer", "kind": "expression", "math_text": "68 / 1 * (-8 + (49 - 338))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 1, \"c\": -8, \"d\": 49, \"e\": 338}", "seed": "5042771095572592390", "semantic_fingerprint": "sha256:9bbd9177902e1fcdc77180c919489f59d6e03ee3955600d1d50fc5f05a48a067", "generator_version": "3.0"}
{"id": "v3_val_00005969", "prompt": "Find x: 12(x - 995) = 11(x + 9) + 55", "solution_steps": ["Expand: 12x - 11940 = 11(x + 9) + 55", "Expand: 12x - 11940 = 11x + 99 + 55", "Combine constants: 12x - 11940 = 11x + 154", "Subtract 11x from both sides: x - 11940 = 154", "Add 11940 to both sides: x = 12094"], "final_answer": "12094", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 995) = 11(x + 9) + 55", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 995, \"c\": 11, \"d\": 9, \"e\": 55}", "seed": "17340223877314860513", "semantic_fingerprint": "sha256:ac2a102ab3bbdccf1f2cdf760fcb9332ffe8382438c68643679631d9b67b4643", "generator_version": "3.0"}
{"id": "v3_val_00005970", "prompt": "Evaluate: 79 + (-76) / (-1) * (-38 - 88)", "solution_steps": ["Divide: -76 / (-1) = 76", "Subtract: -38 - 88 = -126", "Multiply: 76 * (-126) = -9576", "Add: 79 + (-9576) = -9497"], "final_answer": "-9497", "answer_type": "integer", "kind": "expression", "math_text": "79 + (-76) / (-1) * (-38 - 88)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -76, \"c\": -1, \"d\": -38, \"e\": 88}", "seed": "909131083349603080", "semantic_fingerprint": "sha256:4fa057da24a4fd398f3fc91ec41cafce4a157822b78cb16fed3ce0a45b80a80a", "generator_version": "3.0"}
{"id": "v3_val_00005971", "prompt": "Find x: 9x = 12(x - 80)", "solution_steps": ["Expand: 9x = 12x - 960", "Subtract 12x from both sides: -3x = -960", "Divide both sides by -3: x = 320"], "final_answer": "320", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 12(x - 80)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"c\": 80}", "seed": "14383990302507765181", "semantic_fingerprint": "sha256:6629be257be0344694de84574ad4b1c670a73c02486a63ae88ea1fbf24729629", "generator_version": "3.0"}
{"id": "v3_val_00005972", "prompt": "Compute: 5 * 0 * (-27)", "solution_steps": ["Multiply: 5 * 0 = 0", "Multiply: 0 * (-27) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "5 * 0 * (-27)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 0, \"c\": -27}", "seed": "10895745798222560569", "semantic_fingerprint": "sha256:edbe9ee10c286d1637820e23b6dbf0d73aebc0addc0cd196297803681ae90e5e", "generator_version": "3.0"}
{"id": "v3_val_00005973", "prompt": "Find x: -10(x - 7) + 92 = 6(x - 5) - 80", "solution_steps": ["Expand: -10x + 70 + 92 = 6(x - 5) - 80", "Expand: -10x + 70 + 92 = 6x - 30 - 80", "Combine constants: -10x + 162 = 6x - 30 - 80", "Combine constants: -10x + 162 = 6x - 110", "Subtract 6x from both sides: -16x + 162 = -110", "Subtract 162 from both sides: -16x = -272", "Divide both sides by -16: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 7) + 92 = 6(x - 5) - 80", "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\": 92, \"d\": 6, \"e\": 5, \"g\": -80, \"x\": 17}", "seed": "4618440105766426812", "semantic_fingerprint": "sha256:d1efdf99cba4e2ecfbe5d1cc9842eb298a7fd7a4f1c109ec840e46cc326dbcbc", "generator_version": "3.0"}
{"id": "v3_val_00005974", "prompt": "Calculate: (-766 * 7 + (-489 - (-82))) * (-6 + 2)", "solution_steps": ["Multiply: -766 * 7 = -5362", "Subtract: -489 - (-82) = -407", "Add: -5362 + (-407) = -5769", "Add: -6 + 2 = -4", "Multiply: -5769 * (-4) = 23076"], "final_answer": "23076", "answer_type": "integer", "kind": "expression", "math_text": "(-766 * 7 + (-489 - (-82))) * (-6 + 2)", "variable": null, "family": "expression_5op", "shape": "(* (+ (* n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -766, \"b\": 7, \"c\": -489, \"d\": -82, \"e\": -6, \"f\": 2}", "seed": "2861008123996963351", "semantic_fingerprint": "sha256:d70c2db710175241f2d0f42036902fff0a46ca384979f2a94c28ecf4643ab1f2", "generator_version": "3.0"}
{"id": "v3_val_00005975", "prompt": "Calculate: 455 * (-4 * (-164)) + 8 + (-83)", "solution_steps": ["Multiply: -4 * (-164) = 656", "Multiply: 455 * 656 = 298480", "Add: 298480 + 8 = 298488", "Add: 298488 + (-83) = 298405"], "final_answer": "298405", "answer_type": "integer", "kind": "expression", "math_text": "455 * (-4 * (-164)) + 8 + (-83)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 455, \"b\": -4, \"c\": -164, \"d\": 8, \"e\": -83}", "seed": "13402536149035860835", "semantic_fingerprint": "sha256:ac63950e17d7b65bee507a831002e92e7a244aa3a76e242f29bf972ba570094d", "generator_version": "3.0"}
{"id": "v3_val_00005976", "prompt": "Calculate: -74 * 19 + (-90 / 69 + 3 * 9)", "solution_steps": ["Multiply: -74 * 19 = -1406", "Divide: -90 / 69 = -30/23", "Multiply: 3 * 9 = 27", "Add: -30/23 + 27 = 591/23", "Add: -1406 + 591/23 = -31747/23"], "final_answer": "-31747/23", "answer_type": "rational", "kind": "expression", "math_text": "-74 * 19 + (-90 / 69 + 3 * 9)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (/ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 19, \"c\": -90, \"d\": 69, \"e\": 3, \"f\": 9}", "seed": "17594927019850110705", "semantic_fingerprint": "sha256:f00c7e00974c64965d601f11455a15c2e2937183909b127fa5e5d48b2113e185", "generator_version": "3.0"}
{"id": "v3_val_00005977", "prompt": "Solve for x: 9(x - 17) - 822 = -795", "solution_steps": ["Expand: 9x - 153 - 822 = -795", "Combine constants: 9x - 975 = -795", "Add 975 to both sides: 9x = 180", "Divide both sides by 9: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 17) - 822 = -795", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 17, \"c\": 822, \"e\": -795, \"x\": 20}", "seed": "15739543853355606387", "semantic_fingerprint": "sha256:3a788da7c28468017f155a529e3ccd9cc8f5d10665147248bd9115ed090c0329", "generator_version": "3.0"}
{"id": "v3_val_00005978", "prompt": "Solve for x: x - 384 = -2(x + 174)", "solution_steps": ["Expand: x - 384 = -2x - 348", "Add 2x to both sides: 3x - 384 = -348", "Add 384 to both sides: 3x = 36", "Divide both sides by 3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 384 = -2(x + 174)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 174, \"d\": -384, \"x\": 12}", "seed": "6872445764214078379", "semantic_fingerprint": "sha256:da84e5e5e4b45ab65ec67d82a7bc14900afdebfc72eea2c3de40daf1344ac064", "generator_version": "3.0"}
{"id": "v3_val_00005979", "prompt": "Compute: 0 + 194", "solution_steps": ["Add: 0 + 194 = 194"], "final_answer": "194", "answer_type": "integer", "kind": "expression", "math_text": "0 + 194", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 194}", "seed": "11207500354041185510", "semantic_fingerprint": "sha256:2065a1edd5c4fe6f2ef9a46d1ba1398f052f09d53b30fdd29fe8c0cd4ddc7359", "generator_version": "3.0"}
{"id": "v3_val_00005980", "prompt": "Solve the equation 10(x + 8) = 110 for x.", "solution_steps": ["Expand: 10x + 80 = 110", "Subtract 80 from both sides: 10x = 30", "Divide both sides by 10: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 8) = 110", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"d\": 110, \"x\": 3}", "seed": "14602685446391135243", "semantic_fingerprint": "sha256:9671795b4d9a2cd2033b6ee64f8d3711113e6eaa4a0e1ba9d2f22d7db7a22430", "generator_version": "3.0"}
{"id": "v3_val_00005981", "prompt": "What is (1 + 77) * (-75 - (-9))?", "solution_steps": ["Add: 1 + 77 = 78", "Subtract: -75 - (-9) = -66", "Multiply: 78 * (-66) = -5148"], "final_answer": "-5148", "answer_type": "integer", "kind": "expression", "math_text": "(1 + 77) * (-75 - (-9))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 77, \"c\": -75, \"d\": -9}", "seed": "13669414103116046377", "semantic_fingerprint": "sha256:07d09722149f57201339aa8d24f2f8b75afb9a2fba292fa0c422a4d2e7b1ee01", "generator_version": "3.0"}
{"id": "v3_val_00005982", "prompt": "Compute: -32 * (-90)", "solution_steps": ["Multiply: -32 * (-90) = 2880"], "final_answer": "2880", "answer_type": "integer", "kind": "expression", "math_text": "-32 * (-90)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -90}", "seed": "13119197445893143713", "semantic_fingerprint": "sha256:95abcd2507aacb52a1ef9c6211e14103508d2e81bd8036aa05d46f49c8f45f6c", "generator_version": "3.0"}
{"id": "v3_val_00005983", "prompt": "What is -70 * (-19 - (-572) + (-253)) - 785?", "solution_steps": ["Subtract: -19 - (-572) = 553", "Add: 553 + (-253) = 300", "Multiply: -70 * 300 = -21000", "Subtract: -21000 - 785 = -21785"], "final_answer": "-21785", "answer_type": "integer", "kind": "expression", "math_text": "-70 * (-19 - (-572) + (-253)) - 785", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -19, \"c\": -572, \"d\": -253, \"e\": 785}", "seed": "4228567211251717060", "semantic_fingerprint": "sha256:ff901f8dd95238b67e6e3a9dde83f162b161095d27106e855bb82178a7a04bd8", "generator_version": "3.0"}
{"id": "v3_val_00005984", "prompt": "What is -10 - 13?", "solution_steps": ["Subtract: -10 - 13 = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "expression", "math_text": "-10 - 13", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 13}", "seed": "18208788760821566254", "semantic_fingerprint": "sha256:6d220fd5b25b02fdfb7177bed2520c8f523fa61175478440e030ef438e38c977", "generator_version": "3.0"}
{"id": "v3_val_00005985", "prompt": "What is -7 - (-71) - 58?", "solution_steps": ["Subtract: -7 - (-71) = 64", "Subtract: 64 - 58 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-71) - 58", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -71, \"c\": 58}", "seed": "12931322311902556484", "semantic_fingerprint": "sha256:cd1c37643ba86b789962d2b4881a168c7b085bb7ca0e60e3336dc86b28575fef", "generator_version": "3.0"}
{"id": "v3_val_00005986", "prompt": "Compute: 79 / (-26) - (-1)", "solution_steps": ["Divide: 79 / (-26) = -79/26", "Subtract: -79/26 - (-1) = -53/26"], "final_answer": "-53/26", "answer_type": "rational", "kind": "expression", "math_text": "79 / (-26) - (-1)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -26, \"c\": -1}", "seed": "8114261486715139798", "semantic_fingerprint": "sha256:14868a543c33c54d025ace365c8332aa4f195da862166449159a4adbf61e7d1a", "generator_version": "3.0"}
{"id": "v3_val_00005987", "prompt": "Evaluate: -92 + (-4) / (-41)", "solution_steps": ["Divide: -4 / (-41) = 4/41", "Add: -92 + 4/41 = -3768/41"], "final_answer": "-3768/41", "answer_type": "rational", "kind": "expression", "math_text": "-92 + (-4) / (-41)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -4, \"c\": -41}", "seed": "12792215891383049958", "semantic_fingerprint": "sha256:a5bbeefbc42ab8b283758d760665ed63ba49c4bc8ac39af4d42503d8d335ef7b", "generator_version": "3.0"}
{"id": "v3_val_00005988", "prompt": "Calculate: -60 / 24", "solution_steps": ["Divide: -60 / 24 = -5/2"], "final_answer": "-5/2", "answer_type": "rational", "kind": "expression", "math_text": "-60 / 24", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 24}", "seed": "2243531198573735145", "semantic_fingerprint": "sha256:2c313ec8283cbe9a31f08d1bbcc611e7e5051e46dcb3c5af30e80d8cbc447bb4", "generator_version": "3.0"}
{"id": "v3_val_00005989", "prompt": "Compute: (3 + 5) * 33", "solution_steps": ["Add: 3 + 5 = 8", "Multiply: 8 * 33 = 264"], "final_answer": "264", "answer_type": "integer", "kind": "expression", "math_text": "(3 + 5) * 33", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 33}", "seed": "6954384240024693647", "semantic_fingerprint": "sha256:bbb0ccdde279590214c53c88748fcb7b31216abe3c5ea7aed83e2cc00dab7980", "generator_version": "3.0"}
{"id": "v3_val_00005990", "prompt": "What is 19 / (4 - (-664)) * (-9 * (-18))?", "solution_steps": ["Subtract: 4 - (-664) = 668", "Divide: 19 / 668 = 19/668", "Multiply: -9 * (-18) = 162", "Multiply: (19/668) * 162 = 1539/334"], "final_answer": "1539/334", "answer_type": "rational", "kind": "expression", "math_text": "19 / (4 - (-664)) * (-9 * (-18))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 4, \"c\": -664, \"d\": -9, \"e\": -18}", "seed": "12514245248685971874", "semantic_fingerprint": "sha256:0ea2832b0337ebbcc5d3b226d4bdbd2a3674d370693af94ce8094a3ae40325eb", "generator_version": "3.0"}
{"id": "v3_val_00005991", "prompt": "Find x: 8x + 7 = x - 84", "solution_steps": ["Subtract x from both sides: 7x + 7 = -84", "Subtract 7 from 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 - 84", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"d\": -84, \"x\": -13}", "seed": "8646432554811442911", "semantic_fingerprint": "sha256:378c81781379bcc4e2a9f24b81d3b4fbae34022f61ea82f08af4f3bb358bbcea", "generator_version": "3.0"}
{"id": "v3_val_00005992", "prompt": "Compute: 550 * (-87 - (5 - (-9) - (-83)))", "solution_steps": ["Subtract: 5 - (-9) = 14", "Subtract: 14 - (-83) = 97", "Subtract: -87 - 97 = -184", "Multiply: 550 * (-184) = -101200"], "final_answer": "-101200", "answer_type": "integer", "kind": "expression", "math_text": "550 * (-87 - (5 - (-9) - (-83)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 550, \"b\": -87, \"c\": 5, \"d\": -9, \"e\": -83}", "seed": "13054636487788303590", "semantic_fingerprint": "sha256:dfac338b88759a301d825a8a1ef0c8984251a1b4662bcb8037bd85e8d1d58aaa", "generator_version": "3.0"}
{"id": "v3_val_00005993", "prompt": "Solve for x: 4(x - 585) = x + 547", "solution_steps": ["Expand: 4x - 2340 = x + 547", "Subtract x from both sides: 3x - 2340 = 547", "Add 2340 to both sides: 3x = 2887", "Divide both sides by 3: x = 2887/3"], "final_answer": "2887/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 585) = x + 547", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 585, \"c\": 547}", "seed": "15718966706580026479", "semantic_fingerprint": "sha256:e2adb0ca71c211998c1da56cdd715a3a65fd93542dc73599236c697ebd0c4bdd", "generator_version": "3.0"}
{"id": "v3_val_00005994", "prompt": "Solve the equation 3(x + 9) = -7(x - 7) for x.", "solution_steps": ["Expand: 3x + 27 = -7(x - 7)", "Expand: 3x + 27 = -7x + 49", "Add 7x to both sides: 10x + 27 = 49", "Subtract 27 from both sides: 10x = 22", "Divide both sides by 10: x = 11/5"], "final_answer": "11/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 9) = -7(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": -7, \"d\": 7}", "seed": "10246786880591050137", "semantic_fingerprint": "sha256:653014449e2394fd0e6f8e003de13605411ad7fcedcb6567e0c28070e377a569", "generator_version": "3.0"}
{"id": "v3_val_00005995", "prompt": "Calculate: -42 / (-83 - 36 + (93 - (-965) / 14))", "solution_steps": ["Subtract: -83 - 36 = -119", "Divide: -965 / 14 = -965/14", "Subtract: 93 - (-965/14) = 2267/14", "Add: -119 + 2267/14 = 601/14", "Divide: -42 / (601/14) = -588/601"], "final_answer": "-588/601", "answer_type": "rational", "kind": "expression", "math_text": "-42 / (-83 - 36 + (93 - (-965) / 14))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (- n n) (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -83, \"c\": 36, \"d\": 93, \"e\": -965, \"f\": 14}", "seed": "14606517589992344167", "semantic_fingerprint": "sha256:acb3624b01a77f9190d056a6e49dc12934b47993c148de3b644d19c84ccf008a", "generator_version": "3.0"}
{"id": "v3_val_00005996", "prompt": "Evaluate: -7 + 60 / 28", "solution_steps": ["Divide: 60 / 28 = 15/7", "Add: -7 + 15/7 = -34/7"], "final_answer": "-34/7", "answer_type": "rational", "kind": "expression", "math_text": "-7 + 60 / 28", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 60, \"c\": 28}", "seed": "8648002307621906047", "semantic_fingerprint": "sha256:56a036a887d8d9460ba85c0ea1cb2454a5d8e74c41f7d568bdf7fadd384c2e93", "generator_version": "3.0"}
{"id": "v3_val_00005997", "prompt": "Compute: (-3 - (-89)) * (-54)", "solution_steps": ["Subtract: -3 - (-89) = 86", "Multiply: 86 * (-54) = -4644"], "final_answer": "-4644", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - (-89)) * (-54)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -89, \"c\": -54}", "seed": "10127896904815098481", "semantic_fingerprint": "sha256:52c8f34e4f00c390492e20a46898c2b36b80dd4a4afca8cd5ae358d491d9bb06", "generator_version": "3.0"}
{"id": "v3_val_00005998", "prompt": "What value of x satisfies -6(x + 33) = -11(x + 14) - 144?", "solution_steps": ["Expand: -6x - 198 = -11(x + 14) - 144", "Expand: -6x - 198 = -11x - 154 - 144", "Combine constants: -6x - 198 = -11x - 298", "Add 11x to both sides: 5x - 198 = -298", "Add 198 to both sides: 5x = -100", "Divide both sides by 5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 33) = -11(x + 14) - 144", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 33, \"c\": -11, \"d\": 14, \"f\": -144, \"x\": -20}", "seed": "6944030257001289280", "semantic_fingerprint": "sha256:011af7875463f79b27e073359c2a74f63868eb85f443ab6ae831a03cd1cc8084", "generator_version": "3.0"}
{"id": "v3_val_00005999", "prompt": "What value of x satisfies 6x + 763 = -10x + 795?", "solution_steps": ["Add 10x to both sides: 16x + 763 = 795", "Subtract 763 from both sides: 16x = 32", "Divide both sides by 16: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 763 = -10x + 795", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 763, \"c\": -10, \"e\": 795, \"x\": 2}", "seed": "11777864500695956470", "semantic_fingerprint": "sha256:3d63353ecfbfb0de74b4af564fcb10212face9bc0767fbbf5287e6b1c2885522", "generator_version": "3.0"}
{"id": "v3_val_00006000", "prompt": "Evaluate: -19 * 976 / (-8 + (-525 / 5 - (-1)))", "solution_steps": ["Multiply: -19 * 976 = -18544", "Divide: -525 / 5 = -105", "Subtract: -105 - (-1) = -104", "Add: -8 + (-104) = -112", "Divide: -18544 / (-112) = 1159/7"], "final_answer": "1159/7", "answer_type": "rational", "kind": "expression", "math_text": "-19 * 976 / (-8 + (-525 / 5 - (-1)))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (+ n (- (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 976, \"c\": -8, \"d\": -525, \"e\": 5, \"f\": -1}", "seed": "15322585829196270429", "semantic_fingerprint": "sha256:124b9b2c809f17727ae284f3adc318022267f1eedbb446694c959ce97b708eb0", "generator_version": "3.0"}
{"id": "v3_val_00006001", "prompt": "Evaluate: 0 * (-936 / (677 + 623))", "solution_steps": ["Add: 677 + 623 = 1300", "Divide: -936 / 1300 = -18/25", "Multiply: 0 * (-18/25) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-936 / (677 + 623))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -936, \"c\": 677, \"d\": 623}", "seed": "13511437941022812354", "semantic_fingerprint": "sha256:97f5a27fb49b698299dadf7be0a5aab7f0938597d0306fc764f37c707a05dfee", "generator_version": "3.0"}
{"id": "v3_val_00006002", "prompt": "Solve the equation 11(x - 5) + 6 = -26 for x.", "solution_steps": ["Expand: 11x - 55 + 6 = -26", "Combine constants: 11x - 49 = -26", "Add 49 to both sides: 11x = 23", "Divide both sides by 11: x = 23/11"], "final_answer": "23/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 5) + 6 = -26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 6, \"d\": -26}", "seed": "3389797701271859896", "semantic_fingerprint": "sha256:3f72f8e4ed2b61e52f2db9d291d2f1b647d6aa7877346666c82213338ed4f9b4", "generator_version": "3.0"}
{"id": "v3_val_00006003", "prompt": "Calculate: -7 + (-788 - (-62) + (-32))", "solution_steps": ["Subtract: -788 - (-62) = -726", "Add: -726 + (-32) = -758", "Add: -7 + (-758) = -765"], "final_answer": "-765", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-788 - (-62) + (-32))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -788, \"c\": -62, \"d\": -32}", "seed": "11166522917189433323", "semantic_fingerprint": "sha256:a98f0ffd43479c835f2ec7b7574554f313ec78a1616b0088bbd67a237fff33ca", "generator_version": "3.0"}
{"id": "v3_val_00006004", "prompt": "Solve for x: 6x = 4x - 4", "solution_steps": ["Subtract 4x from both sides: 2x = -4", "Divide both sides by 2: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 4x - 4", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 4}", "seed": "1454769479941272390", "semantic_fingerprint": "sha256:45c0b48b0f1d49f1e9b7bfeb3b368eaefb6fd37f65ce449782d741702a783813", "generator_version": "3.0"}
{"id": "v3_val_00006005", "prompt": "Find x: 9(x - 84) - 73 = 7x + 10", "solution_steps": ["Expand: 9x - 756 - 73 = 7x + 10", "Combine constants: 9x - 829 = 7x + 10", "Subtract 7x from both sides: 2x - 829 = 10", "Add 829 to both sides: 2x = 839", "Divide both sides by 2: x = 839/2"], "final_answer": "839/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 84) - 73 = 7x + 10", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 84, \"c\": 73, \"d\": 7, \"e\": 10}", "seed": "14569038331387365479", "semantic_fingerprint": "sha256:6462f4186a4924f3c26cb17952ade73090723e25c7d89820a2069253c6ac7a2a", "generator_version": "3.0"}
{"id": "v3_val_00006006", "prompt": "What value of x satisfies x - 54 = -7(x + 77) - 664?", "solution_steps": ["Expand: x - 54 = -7x - 539 - 664", "Combine constants: x - 54 = -7x - 1203", "Add 7x to both sides: 8x - 54 = -1203", "Add 54 to both sides: 8x = -1149", "Divide both sides by 8: x = -1149/8"], "final_answer": "-1149/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 54 = -7(x + 77) - 664", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -7, \"c\": 77, \"d\": 664}", "seed": "13899788919501412228", "semantic_fingerprint": "sha256:e4ac12f159febcb0f1ba8b3d8ae4766710aa6591232c757ace46d5c3a746d1d3", "generator_version": "3.0"}
{"id": "v3_val_00006007", "prompt": "What value of x satisfies -5(x - 5) = x + 109?", "solution_steps": ["Expand: -5x + 25 = x + 109", "Subtract x from both sides: -6x + 25 = 109", "Subtract 25 from both sides: -6x = 84", "Divide both sides by -6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 5) = x + 109", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"d\": 109, \"x\": -14}", "seed": "2560212740850594018", "semantic_fingerprint": "sha256:5c160e1c05bd7cf39a90c0ac11931fde405a9dddbe1b73c494a48720b18ab803", "generator_version": "3.0"}
{"id": "v3_val_00006008", "prompt": "What is 10 / (-5)?", "solution_steps": ["Divide: 10 / (-5) = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "10 / (-5)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -5}", "seed": "17004786558708096305", "semantic_fingerprint": "sha256:9d49692526f355d5f7f1bf6e61d1fb5021073a7e99423e26891bcd86bd3e7a05", "generator_version": "3.0"}
{"id": "v3_val_00006009", "prompt": "Find x: 3x - 691 = -4(x + 30)", "solution_steps": ["Expand: 3x - 691 = -4x - 120", "Add 4x to both sides: 7x - 691 = -120", "Add 691 to both sides: 7x = 571", "Divide both sides by 7: x = 571/7"], "final_answer": "571/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 691 = -4(x + 30)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 691, \"c\": -4, \"d\": 30}", "seed": "5358742879797813631", "semantic_fingerprint": "sha256:c1b5e7c76d59a570a7d37e119b5a63076f046789e557b61123f718ca6d891e65", "generator_version": "3.0"}
{"id": "v3_val_00006010", "prompt": "Calculate: (2 * (-1) + (-94)) / 1", "solution_steps": ["Multiply: 2 * (-1) = -2", "Add: -2 + (-94) = -96", "Divide: -96 / 1 = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "expression", "math_text": "(2 * (-1) + (-94)) / 1", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -1, \"c\": -94, \"d\": 1}", "seed": "10606747505798210599", "semantic_fingerprint": "sha256:0b2c6d15542f3ceac3d04fa899a67f0054561928d4874eae3f9af240cea03784", "generator_version": "3.0"}
{"id": "v3_val_00006011", "prompt": "Compute: -40 * (-2) - 437", "solution_steps": ["Multiply: -40 * (-2) = 80", "Subtract: 80 - 437 = -357"], "final_answer": "-357", "answer_type": "integer", "kind": "expression", "math_text": "-40 * (-2) - 437", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -2, \"c\": 437}", "seed": "16610671719507665723", "semantic_fingerprint": "sha256:d29cbe119c130fc216efbe859bbe6685d24e5aa443c4f83221dac90fea845243", "generator_version": "3.0"}
{"id": "v3_val_00006012", "prompt": "What is -902 * 58 * 0?", "solution_steps": ["Multiply: -902 * 58 = -52316", "Multiply: -52316 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-902 * 58 * 0", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -902, \"b\": 58, \"c\": 0}", "seed": "13956942812630645056", "semantic_fingerprint": "sha256:5c188543050d8f4223cd60e3a56dcf2ae35202682c4a8c76a22984ef26d0d2da", "generator_version": "3.0"}
{"id": "v3_val_00006013", "prompt": "Compute: -47 * (-4 + 2)", "solution_steps": ["Add: -4 + 2 = -2", "Multiply: -47 * (-2) = 94"], "final_answer": "94", "answer_type": "integer", "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": "15105464523461623585", "semantic_fingerprint": "sha256:f08e6e63825a832361918937cb31876c9b37b1236e0929d11f55af8714921dce", "generator_version": "3.0"}
{"id": "v3_val_00006014", "prompt": "Find x: 7x = -10(x - 4)", "solution_steps": ["Expand: 7x = -10x + 40", "Add 10x to both sides: 17x = 40", "Divide both sides by 17: x = 40/17"], "final_answer": "40/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = -10(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -10, \"c\": 4}", "seed": "17921106779595558126", "semantic_fingerprint": "sha256:828da3aa47333b6d84e21d5d0022e672b16bfad0f99c7034ff900ddd4ec020a8", "generator_version": "3.0"}
{"id": "v3_val_00006015", "prompt": "What is -28 - (-89)?", "solution_steps": ["Subtract: -28 - (-89) = 61"], "final_answer": "61", "answer_type": "integer", "kind": "expression", "math_text": "-28 - (-89)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -89}", "seed": "3401580420418970574", "semantic_fingerprint": "sha256:014fd307948dae9b84f6d6e4213ea01ec6b764c7bb7c11a1b4dcf58e2247de99", "generator_version": "3.0"}
{"id": "v3_val_00006016", "prompt": "What is 38 + (-8)?", "solution_steps": ["Add: 38 + (-8) = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "38 + (-8)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -8}", "seed": "2429160529984491002", "semantic_fingerprint": "sha256:ffea57b2c8928a53888266d8911dd0237d3f06eea1d5c8c887b1a62af7396ae7", "generator_version": "3.0"}
{"id": "v3_val_00006017", "prompt": "Find x: 7(x - 70) + 23 = 8(x - 1) - 71", "solution_steps": ["Expand: 7x - 490 + 23 = 8(x - 1) - 71", "Expand: 7x - 490 + 23 = 8x - 8 - 71", "Combine constants: 7x - 467 = 8x - 8 - 71", "Combine constants: 7x - 467 = 8x - 79", "Subtract 8x from both sides: -x - 467 = -79", "Add 467 to both sides: -x = 388", "Divide both sides by -1: x = -388"], "final_answer": "-388", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 70) + 23 = 8(x - 1) - 71", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 70, \"c\": 23, \"d\": 8, \"e\": 1, \"f\": 71}", "seed": "721043170636001692", "semantic_fingerprint": "sha256:a68bdbe714b83994e79ad0e0120401c9ee9e51c363e40c1edebc905b998df5ab", "generator_version": "3.0"}
{"id": "v3_val_00006018", "prompt": "Evaluate: -8 - 46 - (-58) / ((7 + (-23)) * (-3))", "solution_steps": ["Subtract: -8 - 46 = -54", "Add: 7 + (-23) = -16", "Multiply: -16 * (-3) = 48", "Divide: -58 / 48 = -29/24", "Subtract: -54 - (-29/24) = -1267/24"], "final_answer": "-1267/24", "answer_type": "rational", "kind": "expression", "math_text": "-8 - 46 - (-58) / ((7 + (-23)) * (-3))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ n (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 46, \"c\": -58, \"d\": 7, \"e\": -23, \"f\": -3}", "seed": "15932978941427979334", "semantic_fingerprint": "sha256:866c655d42439533829a0897b00e93273c8b85e9cc374ea135642f5f4bd19b74", "generator_version": "3.0"}
{"id": "v3_val_00006019", "prompt": "Compute: (8 + (-2 - (-44))) * 59", "solution_steps": ["Subtract: -2 - (-44) = 42", "Add: 8 + 42 = 50", "Multiply: 50 * 59 = 2950"], "final_answer": "2950", "answer_type": "integer", "kind": "expression", "math_text": "(8 + (-2 - (-44))) * 59", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -2, \"c\": -44, \"d\": 59}", "seed": "18139205911197239058", "semantic_fingerprint": "sha256:bdda4b0e8bb6b55b87cca41fa6a463fcbaef652a2c7e5ecbeb41b85f2215d6b4", "generator_version": "3.0"}
{"id": "v3_val_00006020", "prompt": "Find x: x = 8x + 35", "solution_steps": ["Subtract 8x from both sides: -7x = 35", "Divide both sides by -7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 8x + 35", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": 35, \"x\": -5}", "seed": "17718577156109676378", "semantic_fingerprint": "sha256:0de4680582a5c134657853d3f3aef4bb769914c757219f3f659e285c8161bab6", "generator_version": "3.0"}
{"id": "v3_val_00006021", "prompt": "Solve for x: -3x - 6 = -637", "solution_steps": ["Add 6 to both sides: -3x = -631", "Divide both sides by -3: x = 631/3"], "final_answer": "631/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x - 6 = -637", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": -637}", "seed": "2187683942270579577", "semantic_fingerprint": "sha256:9da89c29d47fb455cf8c6fa27c8fbb010f479068e22d48e707f85c71f15f831e", "generator_version": "3.0"}
{"id": "v3_val_00006022", "prompt": "Solve the equation -9x + 4 = 2x + 32 for x.", "solution_steps": ["Subtract 2x from both sides: -11x + 4 = 32", "Subtract 4 from both sides: -11x = 28", "Divide both sides by -11: x = -28/11"], "final_answer": "-28/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x + 4 = 2x + 32", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"c\": 2, \"d\": 32}", "seed": "4358855232785205251", "semantic_fingerprint": "sha256:158afa11453437fd2e207435a59cdba1add84e39c4c11869de637db3c573bafc", "generator_version": "3.0"}
{"id": "v3_val_00006023", "prompt": "Evaluate: -6 + (-37)", "solution_steps": ["Add: -6 + (-37) = -43"], "final_answer": "-43", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-37)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -37}", "seed": "17873626636312677355", "semantic_fingerprint": "sha256:18d29b1609408d0c6ce6c315cb18eeb311c8ccb0fce9b6856b49be8446822ead", "generator_version": "3.0"}
{"id": "v3_val_00006024", "prompt": "What value of x satisfies 12(x + 20) = x + 339?", "solution_steps": ["Expand: 12x + 240 = x + 339", "Subtract x from both sides: 11x + 240 = 339", "Subtract 240 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 + 20) = x + 339", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 20, \"d\": 339, \"x\": 9}", "seed": "4800562652426503561", "semantic_fingerprint": "sha256:d71d762e4aba8f6eb6fa0666d624f9b9f7cdf43e7c7f6ec788f5fa6edfe260f9", "generator_version": "3.0"}
{"id": "v3_val_00006025", "prompt": "Compute: 28 * (-3)", "solution_steps": ["Multiply: 28 * (-3) = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "expression", "math_text": "28 * (-3)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -3}", "seed": "1697709185978619803", "semantic_fingerprint": "sha256:42f9b8b46a6414eb1d6168204b7b40ce7b3566182c438b75037a5c07d7a84478", "generator_version": "3.0"}
{"id": "v3_val_00006026", "prompt": "What is (-7 - (-594)) * 128?", "solution_steps": ["Subtract: -7 - (-594) = 587", "Multiply: 587 * 128 = 75136"], "final_answer": "75136", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - (-594)) * 128", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -594, \"c\": 128}", "seed": "17697584627877266719", "semantic_fingerprint": "sha256:d4584c76d657e18dedabe7eb7f7c93987c14a4c34b3c79329a17b1ffbfa73392", "generator_version": "3.0"}
{"id": "v3_val_00006027", "prompt": "What value of x satisfies 8(x - 889) + 2 = -4(x - 6) + 639?", "solution_steps": ["Expand: 8x - 7112 + 2 = -4(x - 6) + 639", "Expand: 8x - 7112 + 2 = -4x + 24 + 639", "Combine constants: 8x - 7110 = -4x + 24 + 639", "Combine constants: 8x - 7110 = -4x + 663", "Add 4x to both sides: 12x - 7110 = 663", "Add 7110 to both sides: 12x = 7773", "Divide both sides by 12: x = 2591/4"], "final_answer": "2591/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 889) + 2 = -4(x - 6) + 639", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 889, \"c\": 2, \"d\": -4, \"e\": 6, \"f\": 639}", "seed": "14626049228799678199", "semantic_fingerprint": "sha256:14934053e09f88f198868e1e2f2750658497d88eb0a751bd86f7f32dfec5d9a3", "generator_version": "3.0"}
{"id": "v3_val_00006028", "prompt": "Solve for x: x + 279 = 11(x + 9)", "solution_steps": ["Expand: x + 279 = 11x + 99", "Subtract 11x from both sides: -10x + 279 = 99", "Subtract 279 from both sides: -10x = -180", "Divide both sides by -10: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 279 = 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\": 279, \"x\": 18}", "seed": "634070627028138455", "semantic_fingerprint": "sha256:da43fd6d7ed45bf079f40eb4dae7747b2065c70baa36c35f65e4d326b6c37884", "generator_version": "3.0"}
{"id": "v3_val_00006029", "prompt": "What is 271 / 6?", "solution_steps": ["Divide: 271 / 6 = 271/6"], "final_answer": "271/6", "answer_type": "rational", "kind": "expression", "math_text": "271 / 6", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 271, \"b\": 6}", "seed": "13500677008461603875", "semantic_fingerprint": "sha256:8f04d2a8746155bcd7572c28293eb267918dccc4a3f8d00033798da0c5628026", "generator_version": "3.0"}
{"id": "v3_val_00006030", "prompt": "Solve for x: x + 33 = 5(x + 2) - 89", "solution_steps": ["Expand: x + 33 = 5x + 10 - 89", "Combine constants: x + 33 = 5x - 79", "Subtract 5x from both sides: -4x + 33 = -79", "Subtract 33 from both sides: -4x = -112", "Divide both sides by -4: x = 28"], "final_answer": "28", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33 = 5(x + 2) - 89", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 5, \"c\": 2, \"d\": 89}", "seed": "11591365098887659945", "semantic_fingerprint": "sha256:9dc35acfd7c8b944d9deaa66c406c8cd6e0ff9613ef6268fbcd4a87a74ad63eb", "generator_version": "3.0"}
{"id": "v3_val_00006031", "prompt": "Solve for x: 9x = 8x", "solution_steps": ["Subtract 8x from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 8x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8}", "seed": "15344800707226283822", "semantic_fingerprint": "sha256:3dd04ca24330237b1b0de88259fc9126d5284b3a86274101e43c4ef17cddcfa9", "generator_version": "3.0"}
{"id": "v3_val_00006032", "prompt": "What value of x satisfies x + 45 = 10(x - 9)?", "solution_steps": ["Expand: x + 45 = 10x - 90", "Subtract 10x from both sides: -9x + 45 = -90", "Subtract 45 from both sides: -9x = -135", "Divide both sides by -9: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 45 = 10(x - 9)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"d\": 45, \"x\": 15}", "seed": "6987180921833061024", "semantic_fingerprint": "sha256:c248f2699585cf9a7f25dfd0f9fc68c7e753024a11e8009d3a704fb0d00d87e1", "generator_version": "3.0"}
{"id": "v3_val_00006033", "prompt": "Compute: -954 * (-5) - (-28) * 9", "solution_steps": ["Multiply: -954 * (-5) = 4770", "Multiply: -28 * 9 = -252", "Subtract: 4770 - (-252) = 5022"], "final_answer": "5022", "answer_type": "integer", "kind": "expression", "math_text": "-954 * (-5) - (-28) * 9", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -954, \"b\": -5, \"c\": -28, \"d\": 9}", "seed": "5429191928650131480", "semantic_fingerprint": "sha256:b59fc40acb66261cf5f412fcd3483bf3ff4bcebc30661183fa5f11fb7075a8a2", "generator_version": "3.0"}
{"id": "v3_val_00006034", "prompt": "What value of x satisfies x = 7(x - 36) - 91?", "solution_steps": ["Expand: x = 7x - 252 - 91", "Combine constants: x = 7x - 343", "Subtract 7x from both sides: -6x = -343", "Divide both sides by -6: x = 343/6"], "final_answer": "343/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x - 36) - 91", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 36, \"c\": 91}", "seed": "15131638092480097427", "semantic_fingerprint": "sha256:c761bcf3108af831112989ffcb026a0c1b553b39ef8a2f31a874578c3b0af4e8", "generator_version": "3.0"}
{"id": "v3_val_00006035", "prompt": "What is 2 * (-34) - 0?", "solution_steps": ["Multiply: 2 * (-34) = -68", "Subtract: -68 - 0 = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-34) - 0", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -34, \"c\": 0}", "seed": "4001998817749220804", "semantic_fingerprint": "sha256:f68184264011485f8800e6acf59511b59057085446bae12ec02a9cf6f7120ba9", "generator_version": "3.0"}
{"id": "v3_val_00006036", "prompt": "Calculate: 7 + 0 + 3 + 387", "solution_steps": ["Add: 7 + 0 = 7", "Add: 7 + 3 = 10", "Add: 10 + 387 = 397"], "final_answer": "397", "answer_type": "integer", "kind": "expression", "math_text": "7 + 0 + 3 + 387", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 0, \"c\": 3, \"d\": 387}", "seed": "18124750575927353306", "semantic_fingerprint": "sha256:e77f6fa196cc896b142e4ed914b01bd1ad3bf14a1c5849622dea7b4887be7b5f", "generator_version": "3.0"}
{"id": "v3_val_00006037", "prompt": "Evaluate: -6 * (-617) - 30", "solution_steps": ["Multiply: -6 * (-617) = 3702", "Subtract: 3702 - 30 = 3672"], "final_answer": "3672", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-617) - 30", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -617, \"c\": 30}", "seed": "16235104513100295938", "semantic_fingerprint": "sha256:2c3b9b10e9686f42e63bf6b2e1edc62917cec6aa98e77fb8dff4ab06c8e39d40", "generator_version": "3.0"}
{"id": "v3_val_00006038", "prompt": "Compute: -487 / (-13 - 83 / (-69) / (-9))", "solution_steps": ["Divide: 83 / (-69) = -83/69", "Divide: (-83/69) / (-9) = 83/621", "Subtract: -13 - 83/621 = -8156/621", "Divide: -487 / (-8156/621) = 302427/8156"], "final_answer": "302427/8156", "answer_type": "rational", "kind": "expression", "math_text": "-487 / (-13 - 83 / (-69) / (-9))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (/ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -487, \"b\": -13, \"c\": 83, \"d\": -69, \"e\": -9}", "seed": "8121067285983385047", "semantic_fingerprint": "sha256:0d69fceb27ffe202fabea4e9025b24cb02dbb1f0e5ebb0efe8d27dade8b760e9", "generator_version": "3.0"}
{"id": "v3_val_00006039", "prompt": "Compute: -6 / (-931) / (-10) + 28", "solution_steps": ["Divide: -6 / (-931) = 6/931", "Divide: (6/931) / (-10) = -3/4655", "Add: -3/4655 + 28 = 130337/4655"], "final_answer": "130337/4655", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-931) / (-10) + 28", "variable": null, "family": "expression_3op", "shape": "(+ (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -931, \"c\": -10, \"d\": 28}", "seed": "10131775014582457183", "semantic_fingerprint": "sha256:7c652fb9a3e2a5fae2ed77b6f8f32f74c9e98d41c9636241381e9062eb9d5493", "generator_version": "3.0"}
{"id": "v3_val_00006040", "prompt": "Evaluate: 23 / (25 + 7)", "solution_steps": ["Add: 25 + 7 = 32", "Divide: 23 / 32 = 23/32"], "final_answer": "23/32", "answer_type": "rational", "kind": "expression", "math_text": "23 / (25 + 7)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 25, \"c\": 7}", "seed": "5238167417701434196", "semantic_fingerprint": "sha256:119237e627ebb9a5c3bd1413a142d27d7e6addd1f6fc8bf61c25694e20f99dcb", "generator_version": "3.0"}
{"id": "v3_val_00006041", "prompt": "Calculate: (-456 * 9 - 7 * 0) * (-8)", "solution_steps": ["Multiply: -456 * 9 = -4104", "Multiply: 7 * 0 = 0", "Subtract: -4104 - 0 = -4104", "Multiply: -4104 * (-8) = 32832"], "final_answer": "32832", "answer_type": "integer", "kind": "expression", "math_text": "(-456 * 9 - 7 * 0) * (-8)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -456, \"b\": 9, \"c\": 7, \"d\": 0, \"e\": -8}", "seed": "17827553338122951659", "semantic_fingerprint": "sha256:54e717904d0f252607f63b3ad08d91bf82f580744bdedbdc6e5eb64e62ce292f", "generator_version": "3.0"}
{"id": "v3_val_00006042", "prompt": "What is (-65 - (-87)) * (1 - (-30) * (-93)) / 53?", "solution_steps": ["Subtract: -65 - (-87) = 22", "Multiply: -30 * (-93) = 2790", "Subtract: 1 - 2790 = -2789", "Multiply: 22 * (-2789) = -61358", "Divide: -61358 / 53 = -61358/53"], "final_answer": "-61358/53", "answer_type": "rational", "kind": "expression", "math_text": "(-65 - (-87)) * (1 - (-30) * (-93)) / 53", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) (- n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -87, \"c\": 1, \"d\": -30, \"e\": -93, \"f\": 53}", "seed": "6815989636419553005", "semantic_fingerprint": "sha256:6fba60d7b785514a60b98473ce02750cce88301067dd3b08b1adba6b15512300", "generator_version": "3.0"}
{"id": "v3_val_00006043", "prompt": "Find x: -6x = 3x + 375", "solution_steps": ["Subtract 3x from both sides: -9x = 375", "Divide both sides by -9: x = -125/3"], "final_answer": "-125/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x = 3x + 375", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": 375}", "seed": "16325556228916726929", "semantic_fingerprint": "sha256:411fd9c07ab0b2ea2709956430b9cd9a9e31914856d3179138ae16dec888594e", "generator_version": "3.0"}
{"id": "v3_val_00006044", "prompt": "Evaluate: -198 * (-9) - (-54) / (-43 / 198)", "solution_steps": ["Multiply: -198 * (-9) = 1782", "Divide: -43 / 198 = -43/198", "Divide: -54 / (-43/198) = 10692/43", "Subtract: 1782 - 10692/43 = 65934/43"], "final_answer": "65934/43", "answer_type": "rational", "kind": "expression", "math_text": "-198 * (-9) - (-54) / (-43 / 198)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -198, \"b\": -9, \"c\": -54, \"d\": -43, \"e\": 198}", "seed": "4030681273738722571", "semantic_fingerprint": "sha256:bd54ffc402ed5a664362c5bb951591bc3398aad93d983dbbb2f37af9a320daaf", "generator_version": "3.0"}
{"id": "v3_val_00006045", "prompt": "What is 23 - (-276)?", "solution_steps": ["Subtract: 23 - (-276) = 299"], "final_answer": "299", "answer_type": "integer", "kind": "expression", "math_text": "23 - (-276)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -276}", "seed": "18035443565955949509", "semantic_fingerprint": "sha256:42267f4e51811a4fcc53935081f8aad76468cbeb06e610427d46ec8539ca7d79", "generator_version": "3.0"}
{"id": "v3_val_00006046", "prompt": "Solve for x: 10(x + 1) = x - 35", "solution_steps": ["Expand: 10x + 10 = x - 35", "Subtract x from both sides: 9x + 10 = -35", "Subtract 10 from both sides: 9x = -45", "Divide both sides by 9: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 1) = x - 35", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"d\": -35, \"x\": -5}", "seed": "18210549101378324691", "semantic_fingerprint": "sha256:f86da79d8fcc54461fc73d840d3d5871593e62294102b8f0bd509de55711c398", "generator_version": "3.0"}
{"id": "v3_val_00006047", "prompt": "Find x: -2(x + 2) - 44 = 2(x + 4)", "solution_steps": ["Expand: -2x - 4 - 44 = 2(x + 4)", "Expand: -2x - 4 - 44 = 2x + 8", "Combine constants: -2x - 48 = 2x + 8", "Subtract 2x from both sides: -4x - 48 = 8", "Add 48 to both sides: -4x = 56", "Divide both sides by -4: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 2) - 44 = 2(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\": 2, \"c\": 2, \"d\": 4, \"f\": -44, \"x\": -14}", "seed": "16666616801303143326", "semantic_fingerprint": "sha256:d16d455b436ab47e28c324c97b64aa27b931fa51976892ad733dc8f00ddc54a3", "generator_version": "3.0"}
{"id": "v3_val_00006048", "prompt": "Solve the equation x + 16 = 3(x + 16) for x.", "solution_steps": ["Expand: x + 16 = 3x + 48", "Subtract 3x from both sides: -2x + 16 = 48", "Subtract 16 from both sides: -2x = 32", "Divide both sides by -2: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 16 = 3(x + 16)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 16, \"d\": 16, \"x\": -16}", "seed": "15088577413057324820", "semantic_fingerprint": "sha256:4ed9bf50ce462f09b74beb2061d9544899fd3a0cce1ede8c5e69b9e5e6c44394", "generator_version": "3.0"}
{"id": "v3_val_00006049", "prompt": "What is -75 - (-95) / 243?", "solution_steps": ["Divide: -95 / 243 = -95/243", "Subtract: -75 - (-95/243) = -18130/243"], "final_answer": "-18130/243", "answer_type": "rational", "kind": "expression", "math_text": "-75 - (-95) / 243", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -95, \"c\": 243}", "seed": "12477342559381098248", "semantic_fingerprint": "sha256:f02603bc90bee82cc31a883a47e4678ea7407de8cd2cacf709adf165d7858c65", "generator_version": "3.0"}
{"id": "v3_val_00006050", "prompt": "Calculate: -57 / (-711)", "solution_steps": ["Divide: -57 / (-711) = 19/237"], "final_answer": "19/237", "answer_type": "rational", "kind": "expression", "math_text": "-57 / (-711)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -711}", "seed": "8264749269770475835", "semantic_fingerprint": "sha256:81401657e81dceecf6077c1c6a8254bbe139d6d19a72072723f6a2d4d23c0ccf", "generator_version": "3.0"}
{"id": "v3_val_00006051", "prompt": "Solve the equation 4x + 311 = 8x - 6 for x.", "solution_steps": ["Subtract 8x from both sides: -4x + 311 = -6", "Subtract 311 from both sides: -4x = -317", "Divide both sides by -4: x = 317/4"], "final_answer": "317/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x + 311 = 8x - 6", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 311, \"c\": 8, \"d\": 6}", "seed": "15463995000991934487", "semantic_fingerprint": "sha256:75ef6d861f5db1d6a62a157b57b9b2092d6d3225c0f4c3ec705696ba9fd8b93b", "generator_version": "3.0"}
{"id": "v3_val_00006052", "prompt": "What is -693 - (-89 - 1)?", "solution_steps": ["Subtract: -89 - 1 = -90", "Subtract: -693 - (-90) = -603"], "final_answer": "-603", "answer_type": "integer", "kind": "expression", "math_text": "-693 - (-89 - 1)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -693, \"b\": -89, \"c\": 1}", "seed": "11744399736438626824", "semantic_fingerprint": "sha256:68d9f7ba7277200d9ef5b364c517c82e53111ca0d95ff29f606881291f671f79", "generator_version": "3.0"}
{"id": "v3_val_00006053", "prompt": "Compute: (22 - 62) / 67 / (-6 / 2)", "solution_steps": ["Subtract: 22 - 62 = -40", "Divide: -40 / 67 = -40/67", "Divide: -6 / 2 = -3", "Divide: (-40/67) / (-3) = 40/201"], "final_answer": "40/201", "answer_type": "rational", "kind": "expression", "math_text": "(22 - 62) / 67 / (-6 / 2)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 62, \"c\": 67, \"d\": -6, \"e\": 2}", "seed": "9073841489960976414", "semantic_fingerprint": "sha256:49729650e0aa36199adf2a825349fe16c63b0392c2517d7ace3cc8a39ca197d7", "generator_version": "3.0"}
{"id": "v3_val_00006054", "prompt": "Solve for x: -9(x + 19) + 839 = 803", "solution_steps": ["Expand: -9x - 171 + 839 = 803", "Combine constants: -9x + 668 = 803", "Subtract 668 from both sides: -9x = 135", "Divide both sides by -9: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 19) + 839 = 803", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 19, \"c\": 839, \"e\": 803, \"x\": -15}", "seed": "4884748465152179695", "semantic_fingerprint": "sha256:20c56a798ab7d6bca021b08e7d36422c808618f0ff038b77bf6d8205cb6ea86b", "generator_version": "3.0"}
{"id": "v3_val_00006055", "prompt": "Compute: 68 + (-844) + (-5 - (723 - 7) + (-89))", "solution_steps": ["Add: 68 + (-844) = -776", "Subtract: 723 - 7 = 716", "Subtract: -5 - 716 = -721", "Add: -721 + (-89) = -810", "Add: -776 + (-810) = -1586"], "final_answer": "-1586", "answer_type": "integer", "kind": "expression", "math_text": "68 + (-844) + (-5 - (723 - 7) + (-89))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (+ (- n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -844, \"c\": -5, \"d\": 723, \"e\": 7, \"f\": -89}", "seed": "2769088928485262335", "semantic_fingerprint": "sha256:365789be28cf8cfe0a5ae926e728775abba1248ead3605c8caad3d9ea06f38c5", "generator_version": "3.0"}
{"id": "v3_val_00006056", "prompt": "Find x: 5(x - 85) = 10(x - 8) - 43", "solution_steps": ["Expand: 5x - 425 = 10(x - 8) - 43", "Expand: 5x - 425 = 10x - 80 - 43", "Combine constants: 5x - 425 = 10x - 123", "Subtract 10x from both sides: -5x - 425 = -123", "Add 425 to both sides: -5x = 302", "Divide both sides by -5: x = -302/5"], "final_answer": "-302/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 85) = 10(x - 8) - 43", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 85, \"c\": 10, \"d\": 8, \"e\": 43}", "seed": "2594855300696080342", "semantic_fingerprint": "sha256:a9d9cac995cdd7e5d43a600b7941b2ffd51ba8958a3b8b5da15c4cad9737dbe8", "generator_version": "3.0"}
{"id": "v3_val_00006057", "prompt": "Compute: -281 / 60 * (2 * (-3))", "solution_steps": ["Divide: -281 / 60 = -281/60", "Multiply: 2 * (-3) = -6", "Multiply: (-281/60) * (-6) = 281/10"], "final_answer": "281/10", "answer_type": "rational", "kind": "expression", "math_text": "-281 / 60 * (2 * (-3))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -281, \"b\": 60, \"c\": 2, \"d\": -3}", "seed": "17489002430820935865", "semantic_fingerprint": "sha256:bca0d45c17dd96919becfb8882d1eb682a435935afbd834256d0ab3674955825", "generator_version": "3.0"}
{"id": "v3_val_00006058", "prompt": "Find x: x = 12(x + 7) + 81", "solution_steps": ["Expand: x = 12x + 84 + 81", "Combine constants: x = 12x + 165", "Subtract 12x from both sides: -11x = 165", "Divide both sides by -11: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 12(x + 7) + 81", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"d\": 81, \"x\": -15}", "seed": "9084532915001804767", "semantic_fingerprint": "sha256:3c885878f10d102e558d528bd9becad49db57cdd9c0954bfdf863a9837e9b618", "generator_version": "3.0"}
{"id": "v3_val_00006059", "prompt": "Solve the equation 9(x - 30) + 36 = 6(x - 6) - 54 for x.", "solution_steps": ["Expand: 9x - 270 + 36 = 6(x - 6) - 54", "Expand: 9x - 270 + 36 = 6x - 36 - 54", "Combine constants: 9x - 234 = 6x - 36 - 54", "Combine constants: 9x - 234 = 6x - 90", "Subtract 6x from both sides: 3x - 234 = -90", "Add 234 to both sides: 3x = 144", "Divide both sides by 3: x = 48"], "final_answer": "48", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 30) + 36 = 6(x - 6) - 54", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 30, \"c\": 36, \"d\": 6, \"e\": 6, \"f\": 54}", "seed": "3523012561506054685", "semantic_fingerprint": "sha256:238fbeb48094496e04b05f8deb9851c9c48399d7946e42aaacb7cc0632416551", "generator_version": "3.0"}
{"id": "v3_val_00006060", "prompt": "Calculate: -56 - (-3)", "solution_steps": ["Subtract: -56 - (-3) = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "expression", "math_text": "-56 - (-3)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -3}", "seed": "3272177172541584832", "semantic_fingerprint": "sha256:45b059b8ff9037ea47eb81e25631d5d296baa734011fbc4b4ad350af78ccb0a3", "generator_version": "3.0"}
{"id": "v3_val_00006061", "prompt": "Calculate: (-64 + 97) / (-83)", "solution_steps": ["Add: -64 + 97 = 33", "Divide: 33 / (-83) = -33/83"], "final_answer": "-33/83", "answer_type": "rational", "kind": "expression", "math_text": "(-64 + 97) / (-83)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 97, \"c\": -83}", "seed": "8424165245266014525", "semantic_fingerprint": "sha256:6d1a303f2ccb301d53d1ab50c3d57078ece76d7acf656941f12b75d5e020e246", "generator_version": "3.0"}
{"id": "v3_val_00006062", "prompt": "Solve for x: x - 11 = -8(x + 16) + 207", "solution_steps": ["Expand: x - 11 = -8x - 128 + 207", "Combine constants: x - 11 = -8x + 79", "Add 8x to both sides: 9x - 11 = 79", "Add 11 to both sides: 9x = 90", "Divide both sides by 9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 11 = -8(x + 16) + 207", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -8, \"c\": 16, \"e\": 207, \"x\": 10}", "seed": "7254885225198104243", "semantic_fingerprint": "sha256:46fc3994b4849b787481bc5dc1b2aa4c95c445eca7bc3288be97afaa59f925fc", "generator_version": "3.0"}
{"id": "v3_val_00006063", "prompt": "Compute: (-25 - 983) / 20 - 19", "solution_steps": ["Subtract: -25 - 983 = -1008", "Divide: -1008 / 20 = -252/5", "Subtract: -252/5 - 19 = -347/5"], "final_answer": "-347/5", "answer_type": "rational", "kind": "expression", "math_text": "(-25 - 983) / 20 - 19", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 983, \"c\": 20, \"d\": 19}", "seed": "5055686366426503941", "semantic_fingerprint": "sha256:b9d181346656f1730d82082e59185eda4150eca79ed5c825c09d17079e16cb5a", "generator_version": "3.0"}
{"id": "v3_val_00006064", "prompt": "Evaluate: 942 - (-593) / (-97)", "solution_steps": ["Divide: -593 / (-97) = 593/97", "Subtract: 942 - 593/97 = 90781/97"], "final_answer": "90781/97", "answer_type": "rational", "kind": "expression", "math_text": "942 - (-593) / (-97)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 942, \"b\": -593, \"c\": -97}", "seed": "6731196258057258157", "semantic_fingerprint": "sha256:8315724e325e1e6f2df196084f50aeacc0d4fcc03f48eab0cf0a7d49c17dfd33", "generator_version": "3.0"}
{"id": "v3_val_00006065", "prompt": "Evaluate: (-5 + (-97)) / ((-48 - (-467)) / (-49))", "solution_steps": ["Add: -5 + (-97) = -102", "Subtract: -48 - (-467) = 419", "Divide: 419 / (-49) = -419/49", "Divide: -102 / (-419/49) = 4998/419"], "final_answer": "4998/419", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + (-97)) / ((-48 - (-467)) / (-49))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -97, \"c\": -48, \"d\": -467, \"e\": -49}", "seed": "6702683358479308607", "semantic_fingerprint": "sha256:2a1ae432e5e2b5c92361ca259e2220090797d3b71096bb3f62f62a00141a731d", "generator_version": "3.0"}
{"id": "v3_val_00006066", "prompt": "Calculate: -42 + 78 + (-5)", "solution_steps": ["Add: -42 + 78 = 36", "Add: 36 + (-5) = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "-42 + 78 + (-5)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 78, \"c\": -5}", "seed": "6769000035486538408", "semantic_fingerprint": "sha256:dca6b2718a57b3937bfb10cb70f595e0e25a2ab9c02f8da8d7cf9839ce1f9557", "generator_version": "3.0"}
{"id": "v3_val_00006067", "prompt": "Evaluate: 420 * ((69 - (-1)) / (-78 - (-502)))", "solution_steps": ["Subtract: 69 - (-1) = 70", "Subtract: -78 - (-502) = 424", "Divide: 70 / 424 = 35/212", "Multiply: 420 * (35/212) = 3675/53"], "final_answer": "3675/53", "answer_type": "rational", "kind": "expression", "math_text": "420 * ((69 - (-1)) / (-78 - (-502)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 420, \"b\": 69, \"c\": -1, \"d\": -78, \"e\": -502}", "seed": "1033079454665119691", "semantic_fingerprint": "sha256:811dcb07bf33b7a2fd272530187c468ac54e45a1bb54b6cf113fdf9eec57cce3", "generator_version": "3.0"}
{"id": "v3_val_00006068", "prompt": "What is 139 - (0 + 291 - (419 - 7 / (-3)))?", "solution_steps": ["Add: 0 + 291 = 291", "Divide: 7 / (-3) = -7/3", "Subtract: 419 - (-7/3) = 1264/3", "Subtract: 291 - 1264/3 = -391/3", "Subtract: 139 - (-391/3) = 808/3"], "final_answer": "808/3", "answer_type": "rational", "kind": "expression", "math_text": "139 - (0 + 291 - (419 - 7 / (-3)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (+ n n) (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 139, \"b\": 0, \"c\": 291, \"d\": 419, \"e\": 7, \"f\": -3}", "seed": "2396813889038048972", "semantic_fingerprint": "sha256:0d8ea36c9ef4f4007618aef5a39a1ac10de18bb9e6f06340a7f032833e9e5c41", "generator_version": "3.0"}
{"id": "v3_val_00006069", "prompt": "Solve for x: -2(x - 41) + 5 = x", "solution_steps": ["Expand: -2x + 82 + 5 = x", "Combine constants: -2x + 87 = x", "Subtract x from both sides: -3x + 87 = 0", "Subtract 87 from both sides: -3x = -87", "Divide both sides by -3: x = 29"], "final_answer": "29", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 41) + 5 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 41, \"c\": 5}", "seed": "1703885057935832897", "semantic_fingerprint": "sha256:78b34dc7fda72276d18812249f2d7655db4684f7e92467e8f74e1e7b20399dc0", "generator_version": "3.0"}
{"id": "v3_val_00006070", "prompt": "Solve for x: 8(x + 26) = -6x + 54", "solution_steps": ["Expand: 8x + 208 = -6x + 54", "Add 6x to both sides: 14x + 208 = 54", "Subtract 208 from both sides: 14x = -154", "Divide both sides by 14: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 26) = -6x + 54", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 26, \"c\": -6, \"e\": 54, \"x\": -11}", "seed": "9210672286603751432", "semantic_fingerprint": "sha256:6768b1b8d90e821c7019bd814ab8a77d876a482c1648604eb3fe197028a8c18b", "generator_version": "3.0"}
{"id": "v3_val_00006071", "prompt": "What is 6 * 41 / 3 / (-6) * (20 * (-783))?", "solution_steps": ["Multiply: 6 * 41 = 246", "Divide: 246 / 3 = 82", "Divide: 82 / (-6) = -41/3", "Multiply: 20 * (-783) = -15660", "Multiply: (-41/3) * (-15660) = 214020"], "final_answer": "214020", "answer_type": "integer", "kind": "expression", "math_text": "6 * 41 / 3 / (-6) * (20 * (-783))", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ (* n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 41, \"c\": 3, \"d\": -6, \"e\": 20, \"f\": -783}", "seed": "8057443995088718645", "semantic_fingerprint": "sha256:89525dd4777d15a1f03a522b0c1e9612055f894f4cb24471f96509d0721fe3ba", "generator_version": "3.0"}
{"id": "v3_val_00006072", "prompt": "What is 44 / 37?", "solution_steps": ["Divide: 44 / 37 = 44/37"], "final_answer": "44/37", "answer_type": "rational", "kind": "expression", "math_text": "44 / 37", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 37}", "seed": "5242952223985010182", "semantic_fingerprint": "sha256:cbf80eca690da556baa12d157a2da6f6c78a0dd99ed08fc345c15dec5f778c55", "generator_version": "3.0"}
{"id": "v3_val_00006073", "prompt": "What value of x satisfies x + 4 = 5(x + 1) - 37?", "solution_steps": ["Expand: x + 4 = 5x + 5 - 37", "Combine constants: x + 4 = 5x - 32", "Subtract 5x from both sides: -4x + 4 = -32", "Subtract 4 from both sides: -4x = -36", "Divide both sides by -4: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4 = 5(x + 1) - 37", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 1, \"e\": -37, \"x\": 9}", "seed": "9103874302187742477", "semantic_fingerprint": "sha256:037f8e2472e4783b4d24cb210630bdefdbc79c368845e36656518e6e56d25c35", "generator_version": "3.0"}
{"id": "v3_val_00006074", "prompt": "Calculate: (43 - (-261)) * (-64)", "solution_steps": ["Subtract: 43 - (-261) = 304", "Multiply: 304 * (-64) = -19456"], "final_answer": "-19456", "answer_type": "integer", "kind": "expression", "math_text": "(43 - (-261)) * (-64)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -261, \"c\": -64}", "seed": "14696159710847182006", "semantic_fingerprint": "sha256:e9ca0b78bcb918791a4628915f199dbc507adbb37a714073ba0c7d14d04950ec", "generator_version": "3.0"}
{"id": "v3_val_00006075", "prompt": "What is -4 / 93?", "solution_steps": ["Divide: -4 / 93 = -4/93"], "final_answer": "-4/93", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 93", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 93}", "seed": "4934452067873089359", "semantic_fingerprint": "sha256:55483f4e5c30ef561d87702bc9194cb7ba5fe508f3ea6a172dcc55401fb4adb0", "generator_version": "3.0"}
{"id": "v3_val_00006076", "prompt": "What is -64 / (-902)?", "solution_steps": ["Divide: -64 / (-902) = 32/451"], "final_answer": "32/451", "answer_type": "rational", "kind": "expression", "math_text": "-64 / (-902)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -902}", "seed": "13404873320117129400", "semantic_fingerprint": "sha256:13acc56d10356ae21a74076c8ab8088939c15dc55cde310fcc350ed8233456f4", "generator_version": "3.0"}
{"id": "v3_val_00006077", "prompt": "Compute: (976 + (-2)) / 14", "solution_steps": ["Add: 976 + (-2) = 974", "Divide: 974 / 14 = 487/7"], "final_answer": "487/7", "answer_type": "rational", "kind": "expression", "math_text": "(976 + (-2)) / 14", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 976, \"b\": -2, \"c\": 14}", "seed": "5171218939102633038", "semantic_fingerprint": "sha256:34a50dd6cb9e48f2c35c0a917a1129b9dd4c85d0bb305e39edb2d6da25be4d3e", "generator_version": "3.0"}
{"id": "v3_val_00006078", "prompt": "Calculate: (303 + 73) * (-58 - (-41))", "solution_steps": ["Add: 303 + 73 = 376", "Subtract: -58 - (-41) = -17", "Multiply: 376 * (-17) = -6392"], "final_answer": "-6392", "answer_type": "integer", "kind": "expression", "math_text": "(303 + 73) * (-58 - (-41))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 303, \"b\": 73, \"c\": -58, \"d\": -41}", "seed": "9263934305116290741", "semantic_fingerprint": "sha256:626355baf3c4b85f3c7b7474a1d25f0fb17a2f04fdbdbdd28e6b1a185f4111b7", "generator_version": "3.0"}
{"id": "v3_val_00006079", "prompt": "Compute: 9 + 33", "solution_steps": ["Add: 9 + 33 = 42"], "final_answer": "42", "answer_type": "integer", "kind": "expression", "math_text": "9 + 33", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 33}", "seed": "1108880812619435007", "semantic_fingerprint": "sha256:fb3c2b2eb156e955318585e7ae8b3df04726cc4ea8f01c7e0dc2f9382caf7cc9", "generator_version": "3.0"}
{"id": "v3_val_00006080", "prompt": "Solve the equation -2(x + 79) + 77 = 8x - 221 for x.", "solution_steps": ["Expand: -2x - 158 + 77 = 8x - 221", "Combine constants: -2x - 81 = 8x - 221", "Subtract 8x from both sides: -10x - 81 = -221", "Add 81 to both sides: -10x = -140", "Divide both sides by -10: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 79) + 77 = 8x - 221", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 79, \"c\": 77, \"d\": 8, \"f\": -221, \"x\": 14}", "seed": "6892065200894586534", "semantic_fingerprint": "sha256:a855571bb1b74211eeb19c3f65150af8bfd5f99629903eedf0016bf57774bb15", "generator_version": "3.0"}
{"id": "v3_val_00006081", "prompt": "Compute: -85 - (-9 - 9) / 438 + (-75) / (-6)", "solution_steps": ["Subtract: -9 - 9 = -18", "Divide: -18 / 438 = -3/73", "Subtract: -85 - (-3/73) = -6202/73", "Divide: -75 / (-6) = 25/2", "Add: -6202/73 + 25/2 = -10579/146"], "final_answer": "-10579/146", "answer_type": "rational", "kind": "expression", "math_text": "-85 - (-9 - 9) / 438 + (-75) / (-6)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ (- n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -9, \"c\": 9, \"d\": 438, \"e\": -75, \"f\": -6}", "seed": "15529320090463507473", "semantic_fingerprint": "sha256:b2c2aa961ab7b8c625888ac428749d6e15bf8a0111811e55a1d5b5ec57e9daa4", "generator_version": "3.0"}
{"id": "v3_val_00006082", "prompt": "Calculate: 24 / (-1)", "solution_steps": ["Divide: 24 / (-1) = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "expression", "math_text": "24 / (-1)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -1}", "seed": "13485793940963704113", "semantic_fingerprint": "sha256:542bfe8983c5c485683af2d4d219d8fbcb33e67607c94c90ad0051668251c15c", "generator_version": "3.0"}
{"id": "v3_val_00006083", "prompt": "What is -35 / (56 + (-9))?", "solution_steps": ["Add: 56 + (-9) = 47", "Divide: -35 / 47 = -35/47"], "final_answer": "-35/47", "answer_type": "rational", "kind": "expression", "math_text": "-35 / (56 + (-9))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 56, \"c\": -9}", "seed": "6011166739842123199", "semantic_fingerprint": "sha256:6c3badac6d3f36f8c2c75b91f0b351ccb736eeb5cba16f41404b299b7e3f59ff", "generator_version": "3.0"}
{"id": "v3_val_00006084", "prompt": "What value of x satisfies 6(x + 9) = 24?", "solution_steps": ["Expand: 6x + 54 = 24", "Subtract 54 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 + 9) = 24", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"d\": 24, \"x\": -5}", "seed": "3136474722740078907", "semantic_fingerprint": "sha256:0e83dad553b229711457822a4aa636e0707d629d9c31f598716a76d01d922892", "generator_version": "3.0"}
{"id": "v3_val_00006085", "prompt": "Find x: -5(x - 53) - 696 = -6(x + 8) - 397", "solution_steps": ["Expand: -5x + 265 - 696 = -6(x + 8) - 397", "Expand: -5x + 265 - 696 = -6x - 48 - 397", "Combine constants: -5x - 431 = -6x - 48 - 397", "Combine constants: -5x - 431 = -6x - 445", "Add 6x to both sides: x - 431 = -445", "Add 431 to both sides: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 53) - 696 = -6(x + 8) - 397", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 53, \"c\": 696, \"d\": -6, \"e\": 8, \"g\": -397, \"x\": -14}", "seed": "10536723650370992339", "semantic_fingerprint": "sha256:37683e4f8d6eb7c799688c8b43beafb2372e46ccc33533a2d6de89e58b06938d", "generator_version": "3.0"}
{"id": "v3_val_00006086", "prompt": "Compute: -50 / 1", "solution_steps": ["Divide: -50 / 1 = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "expression", "math_text": "-50 / 1", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 1}", "seed": "9456800928471396752", "semantic_fingerprint": "sha256:24042cbfc0092dc1c327353f60f0ed5830baea254093d7fb96ad6bf2c337642b", "generator_version": "3.0"}
{"id": "v3_val_00006087", "prompt": "Solve for x: x = -2(x + 4) - 22", "solution_steps": ["Expand: x = -2x - 8 - 22", "Combine constants: x = -2x - 30", "Add 2x to both sides: 3x = -30", "Divide both sides by 3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -2(x + 4) - 22", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"d\": -22, \"x\": -10}", "seed": "10653142368019190915", "semantic_fingerprint": "sha256:5c0afe5c75ef17e7b28bad598d2e1ac6184dd0640a0c089bbede7d8df72b8043", "generator_version": "3.0"}
{"id": "v3_val_00006088", "prompt": "Compute: -805 - 9 + 84 * (-123) - (-24)", "solution_steps": ["Subtract: -805 - 9 = -814", "Multiply: 84 * (-123) = -10332", "Add: -814 + (-10332) = -11146", "Subtract: -11146 - (-24) = -11122"], "final_answer": "-11122", "answer_type": "integer", "kind": "expression", "math_text": "-805 - 9 + 84 * (-123) - (-24)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -805, \"b\": 9, \"c\": 84, \"d\": -123, \"e\": -24}", "seed": "4167597199947510464", "semantic_fingerprint": "sha256:7fff69c66d862cbe3ae0b1a5800c94bcdb09ff41b3e361088649ec0b6f213bf2", "generator_version": "3.0"}
{"id": "v3_val_00006089", "prompt": "Solve the equation 5x = 7x + 18 for x.", "solution_steps": ["Subtract 7x from both sides: -2x = 18", "Divide both sides by -2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 7x + 18", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"d\": 18, \"x\": -9}", "seed": "3619058847114080625", "semantic_fingerprint": "sha256:316ad23f477479e768d54977a850bb4df554637ea8ad3a8869b1758997ad44fa", "generator_version": "3.0"}
{"id": "v3_val_00006090", "prompt": "Solve the equation 12(x + 68) + 41 = -3x + 872 for x.", "solution_steps": ["Expand: 12x + 816 + 41 = -3x + 872", "Combine constants: 12x + 857 = -3x + 872", "Add 3x to both sides: 15x + 857 = 872", "Subtract 857 from both sides: 15x = 15", "Divide both sides by 15: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 68) + 41 = -3x + 872", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 68, \"c\": 41, \"d\": -3, \"f\": 872, \"x\": 1}", "seed": "4529533656862071419", "semantic_fingerprint": "sha256:dbe285d014edf479804c8c70712764e0efa11419b8bfd98dc1b952b7fdd319b9", "generator_version": "3.0"}
{"id": "v3_val_00006091", "prompt": "What is 214 - (-2) - (-829 - 40)?", "solution_steps": ["Subtract: 214 - (-2) = 216", "Subtract: -829 - 40 = -869", "Subtract: 216 - (-869) = 1085"], "final_answer": "1085", "answer_type": "integer", "kind": "expression", "math_text": "214 - (-2) - (-829 - 40)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 214, \"b\": -2, \"c\": -829, \"d\": 40}", "seed": "12236646825558505610", "semantic_fingerprint": "sha256:3442b98338e1dd4be04f3ab8477b79e19f90e143b40ea90344962b705c15cda5", "generator_version": "3.0"}
{"id": "v3_val_00006092", "prompt": "Compute: 235 / (-5 - 6 * (84 - (-1)))", "solution_steps": ["Subtract: 84 - (-1) = 85", "Multiply: 6 * 85 = 510", "Subtract: -5 - 510 = -515", "Divide: 235 / (-515) = -47/103"], "final_answer": "-47/103", "answer_type": "rational", "kind": "expression", "math_text": "235 / (-5 - 6 * (84 - (-1)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (* n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 235, \"b\": -5, \"c\": 6, \"d\": 84, \"e\": -1}", "seed": "8721174364475500679", "semantic_fingerprint": "sha256:b33dd96b7bb57396f289221784b865d9e19db0af368766b2eb07222088199b30", "generator_version": "3.0"}
{"id": "v3_val_00006093", "prompt": "Evaluate: -1 + (4 + (-5))", "solution_steps": ["Add: 4 + (-5) = -1", "Add: -1 + (-1) = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (4 + (-5))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 4, \"c\": -5}", "seed": "883881496201802507", "semantic_fingerprint": "sha256:d02962f1513ea1312ae0495a475db824565da840bdb9a7f0f369b4df0af7ab32", "generator_version": "3.0"}
{"id": "v3_val_00006094", "prompt": "Compute: -894 - (-69) * (-9) * 0", "solution_steps": ["Multiply: -69 * (-9) = 621", "Multiply: 621 * 0 = 0", "Subtract: -894 - 0 = -894"], "final_answer": "-894", "answer_type": "integer", "kind": "expression", "math_text": "-894 - (-69) * (-9) * 0", "variable": null, "family": "expression_3op", "shape": "(- n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -894, \"b\": -69, \"c\": -9, \"d\": 0}", "seed": "12777866989357784970", "semantic_fingerprint": "sha256:f66e15552f09dd447f1ee4f3215059977dc81896337df95c2b92a79380d758cd", "generator_version": "3.0"}
{"id": "v3_val_00006095", "prompt": "Compute: 599 - 2", "solution_steps": ["Subtract: 599 - 2 = 597"], "final_answer": "597", "answer_type": "integer", "kind": "expression", "math_text": "599 - 2", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 599, \"b\": 2}", "seed": "9941705137377648091", "semantic_fingerprint": "sha256:d2a99ad0a0890deca893cc88b0238d60b650e7c9d7952126ab48a1038122e7c5", "generator_version": "3.0"}
{"id": "v3_val_00006096", "prompt": "Evaluate: 71 * 62 / 17", "solution_steps": ["Multiply: 71 * 62 = 4402", "Divide: 4402 / 17 = 4402/17"], "final_answer": "4402/17", "answer_type": "rational", "kind": "expression", "math_text": "71 * 62 / 17", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 62, \"c\": 17}", "seed": "3938298181437994182", "semantic_fingerprint": "sha256:de90b240a2d85da7fe473eed5340610c02190a255f6399a7ec81578b1be5f96b", "generator_version": "3.0"}
{"id": "v3_val_00006097", "prompt": "What value of x satisfies 4x = x - 440?", "solution_steps": ["Subtract x from both sides: 3x = -440", "Divide both sides by 3: x = -440/3"], "final_answer": "-440/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = x - 440", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 440}", "seed": "13812095841072093934", "semantic_fingerprint": "sha256:ca621d3e8cc8ddb4e08ff1b946611084e5ce5ae93bc372e06ed19e13f07b2585", "generator_version": "3.0"}
{"id": "v3_val_00006098", "prompt": "Compute: 532 * (-4)", "solution_steps": ["Multiply: 532 * (-4) = -2128"], "final_answer": "-2128", "answer_type": "integer", "kind": "expression", "math_text": "532 * (-4)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 532, \"b\": -4}", "seed": "1770285015234047961", "semantic_fingerprint": "sha256:b8adf9c341b9d1e94b2803366f12b69645baf18e806f895846511e84447b4f45", "generator_version": "3.0"}
{"id": "v3_val_00006099", "prompt": "What value of x satisfies -9x + 634 = 769?", "solution_steps": ["Subtract 634 from both sides: -9x = 135", "Divide both sides by -9: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 634 = 769", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 634, \"d\": 769, \"x\": -15}", "seed": "8175102898537802961", "semantic_fingerprint": "sha256:69be784f238593537a82b868c740c859c30cabe00ef6e2eae75be09925a1619c", "generator_version": "3.0"}
{"id": "v3_val_00006100", "prompt": "Calculate: (34 + 0) * (-38 * (-88 + (-4 + (-467))))", "solution_steps": ["Add: 34 + 0 = 34", "Add: -4 + (-467) = -471", "Add: -88 + (-471) = -559", "Multiply: -38 * (-559) = 21242", "Multiply: 34 * 21242 = 722228"], "final_answer": "722228", "answer_type": "integer", "kind": "expression", "math_text": "(34 + 0) * (-38 * (-88 + (-4 + (-467))))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (* n (+ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 0, \"c\": -38, \"d\": -88, \"e\": -4, \"f\": -467}", "seed": "11542311902333322506", "semantic_fingerprint": "sha256:cb9498cc37fcbd5404ccd1bdc2e147deb907c65ca2ab78c19a434cd14964ae1e", "generator_version": "3.0"}
{"id": "v3_val_00006101", "prompt": "Compute: 26 + (82 + 78) + (-60)", "solution_steps": ["Add: 82 + 78 = 160", "Add: 26 + 160 = 186", "Add: 186 + (-60) = 126"], "final_answer": "126", "answer_type": "integer", "kind": "expression", "math_text": "26 + (82 + 78) + (-60)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 82, \"c\": 78, \"d\": -60}", "seed": "5727858379947079376", "semantic_fingerprint": "sha256:ce184f580c836dc44af7d29226400217e9d2d6ed53b5391f6dfe696c0fbcc609", "generator_version": "3.0"}
{"id": "v3_val_00006102", "prompt": "Calculate: -2 / (995 - (45 - (-85 + (-48))))", "solution_steps": ["Add: -85 + (-48) = -133", "Subtract: 45 - (-133) = 178", "Subtract: 995 - 178 = 817", "Divide: -2 / 817 = -2/817"], "final_answer": "-2/817", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (995 - (45 - (-85 + (-48))))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (- n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 995, \"c\": 45, \"d\": -85, \"e\": -48}", "seed": "16584580841761477863", "semantic_fingerprint": "sha256:f40fbd6648153964502691c0aaa359e54ef9a6466d38a407965fd31deaaafe26", "generator_version": "3.0"}
{"id": "v3_val_00006103", "prompt": "Calculate: -1 + (-5)", "solution_steps": ["Add: -1 + (-5) = -6"], "final_answer": "-6", "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": "2270881414009939851", "semantic_fingerprint": "sha256:11cabe6d365090c7e268092adfb0e55ec45bfaad79f0168e9b99cd693d5bbaec", "generator_version": "3.0"}
{"id": "v3_val_00006104", "prompt": "Find x: x + 3 = 6(x + 61) - 328", "solution_steps": ["Expand: x + 3 = 6x + 366 - 328", "Combine constants: x + 3 = 6x + 38", "Subtract 6x from both sides: -5x + 3 = 38", "Subtract 3 from both sides: -5x = 35", "Divide both sides by -5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = 6(x + 61) - 328", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 61, \"e\": -328, \"x\": -7}", "seed": "7437045455971254390", "semantic_fingerprint": "sha256:13278646ee0081651084fb9045d266a74f2be10c8aac408d41201f3430425047", "generator_version": "3.0"}
{"id": "v3_val_00006105", "prompt": "Calculate: -9 - (7 + 38 + 740 * 5) * (-4)", "solution_steps": ["Add: 7 + 38 = 45", "Multiply: 740 * 5 = 3700", "Add: 45 + 3700 = 3745", "Multiply: 3745 * (-4) = -14980", "Subtract: -9 - (-14980) = 14971"], "final_answer": "14971", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (7 + 38 + 740 * 5) * (-4)", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ (+ n n) (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 38, \"d\": 740, \"e\": 5, \"f\": -4}", "seed": "702919703188208179", "semantic_fingerprint": "sha256:888ab739f93a670a855462062c3359c797e92c7d97efd94fe643effbd5120f63", "generator_version": "3.0"}
{"id": "v3_val_00006106", "prompt": "Evaluate: 835 / ((-14 + 13) / (-8))", "solution_steps": ["Add: -14 + 13 = -1", "Divide: -1 / (-8) = 1/8", "Divide: 835 / (1/8) = 6680"], "final_answer": "6680", "answer_type": "integer", "kind": "expression", "math_text": "835 / ((-14 + 13) / (-8))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 835, \"b\": -14, \"c\": 13, \"d\": -8}", "seed": "3068377823210466323", "semantic_fingerprint": "sha256:6b65251fc8af20b733bcc05fc6583484d3c6a1a87c6d46a306dea63a3a15c99a", "generator_version": "3.0"}
{"id": "v3_val_00006107", "prompt": "Evaluate: 80 / 56", "solution_steps": ["Divide: 80 / 56 = 10/7"], "final_answer": "10/7", "answer_type": "rational", "kind": "expression", "math_text": "80 / 56", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 56}", "seed": "10762389791338918400", "semantic_fingerprint": "sha256:c68bdb5467eaf5a72320a69fd263c8478ec2a51f27bb2e85df264b5b628cec81", "generator_version": "3.0"}
{"id": "v3_val_00006108", "prompt": "What is 46 / (-8) * 373 / (89 - (-381))?", "solution_steps": ["Divide: 46 / (-8) = -23/4", "Multiply: (-23/4) * 373 = -8579/4", "Subtract: 89 - (-381) = 470", "Divide: (-8579/4) / 470 = -8579/1880"], "final_answer": "-8579/1880", "answer_type": "rational", "kind": "expression", "math_text": "46 / (-8) * 373 / (89 - (-381))", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -8, \"c\": 373, \"d\": 89, \"e\": -381}", "seed": "9244377736109773696", "semantic_fingerprint": "sha256:81da3928aebf59ed5045a25bebfb4744bf3d16c583d909d82d39eca44712b1ed", "generator_version": "3.0"}
{"id": "v3_val_00006109", "prompt": "What value of x satisfies -3x = x - 20?", "solution_steps": ["Subtract x from both sides: -4x = -20", "Divide both sides by -4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = x - 20", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"c\": -20, \"x\": 5}", "seed": "9345287664088617670", "semantic_fingerprint": "sha256:91d00ffd66940b6d4468837cf8000ce887986766312a0067ad1dfc695d086539", "generator_version": "3.0"}
{"id": "v3_val_00006110", "prompt": "Compute: 61 + (90 + (-70))", "solution_steps": ["Add: 90 + (-70) = 20", "Add: 61 + 20 = 81"], "final_answer": "81", "answer_type": "integer", "kind": "expression", "math_text": "61 + (90 + (-70))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 90, \"c\": -70}", "seed": "5781680212964697225", "semantic_fingerprint": "sha256:2b9cedf3f3f87a78777204ee139679460aa96349d95790a696b69cb1c855953c", "generator_version": "3.0"}
{"id": "v3_val_00006111", "prompt": "Solve the equation 2(x + 80) = 4x + 2 for x.", "solution_steps": ["Expand: 2x + 160 = 4x + 2", "Subtract 4x from both sides: -2x + 160 = 2", "Subtract 160 from both sides: -2x = -158", "Divide both sides by -2: x = 79"], "final_answer": "79", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 80) = 4x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 80, \"c\": 4, \"d\": 2}", "seed": "13767157481193919677", "semantic_fingerprint": "sha256:fe48c0bbd499d6c1c8d85b3e1e7bb7da431a85440a9e935dcab89bc9f2fa4424", "generator_version": "3.0"}
{"id": "v3_val_00006112", "prompt": "Compute: 4 / (8 * (-359)) * 7", "solution_steps": ["Multiply: 8 * (-359) = -2872", "Divide: 4 / (-2872) = -1/718", "Multiply: (-1/718) * 7 = -7/718"], "final_answer": "-7/718", "answer_type": "rational", "kind": "expression", "math_text": "4 / (8 * (-359)) * 7", "variable": null, "family": "expression_3op", "shape": "(* (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": -359, \"d\": 7}", "seed": "17613535012842602", "semantic_fingerprint": "sha256:be228280fc4071f4831eb648839c5e1165f82d9d34637d6a17d0c76e27793d01", "generator_version": "3.0"}
{"id": "v3_val_00006113", "prompt": "Compute: 0 * (78 * 9) - (34 / 78 + 60)", "solution_steps": ["Multiply: 78 * 9 = 702", "Multiply: 0 * 702 = 0", "Divide: 34 / 78 = 17/39", "Add: 17/39 + 60 = 2357/39", "Subtract: 0 - 2357/39 = -2357/39"], "final_answer": "-2357/39", "answer_type": "rational", "kind": "expression", "math_text": "0 * (78 * 9) - (34 / 78 + 60)", "variable": null, "family": "expression_5op", "shape": "(- (* n (* n n)) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 78, \"c\": 9, \"d\": 34, \"e\": 78, \"f\": 60}", "seed": "11247588549275342943", "semantic_fingerprint": "sha256:cf4dfcfbc65334da964d236a1be1d4dddd5deab583c17666e90a2865bedf13b6", "generator_version": "3.0"}
{"id": "v3_val_00006114", "prompt": "Evaluate: -3 / (-7 - (-9))", "solution_steps": ["Subtract: -7 - (-9) = 2", "Divide: -3 / 2 = -3/2"], "final_answer": "-3/2", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-7 - (-9))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -7, \"c\": -9}", "seed": "13980728436180310832", "semantic_fingerprint": "sha256:714f2bcb101d78bb15acdcac82aafa4892d18f0c69a19428347c91662e1cfa0d", "generator_version": "3.0"}
{"id": "v3_val_00006115", "prompt": "Find x: 2x = -10x + 12", "solution_steps": ["Add 10x to both sides: 12x = 12", "Divide both sides by 12: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = -10x + 12", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -10, \"d\": 12, \"x\": 1}", "seed": "14041806336122329371", "semantic_fingerprint": "sha256:96e115581b5adc4706df0e3b432c23876669651a6c537f0713b113690ac5833c", "generator_version": "3.0"}
{"id": "v3_val_00006116", "prompt": "Calculate: 0 - 64 - 7 + (-2)", "solution_steps": ["Subtract: 0 - 64 = -64", "Subtract: -64 - 7 = -71", "Add: -71 + (-2) = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "expression", "math_text": "0 - 64 - 7 + (-2)", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 64, \"c\": 7, \"d\": -2}", "seed": "17185017456916721427", "semantic_fingerprint": "sha256:f998b27f19697244a2849c55245ba7da388150f5133aa11ab450d96ebfce3937", "generator_version": "3.0"}
{"id": "v3_val_00006117", "prompt": "Find x: 9(x + 95) = x + 3", "solution_steps": ["Expand: 9x + 855 = x + 3", "Subtract x from both sides: 8x + 855 = 3", "Subtract 855 from both sides: 8x = -852", "Divide both sides by 8: x = -213/2"], "final_answer": "-213/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 95) = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 95, \"c\": 3}", "seed": "12048745549199990295", "semantic_fingerprint": "sha256:3b2260bd9f65686bf3d9740df15d962b618537b9d75b4fd782bddcbde4f1697c", "generator_version": "3.0"}
{"id": "v3_val_00006118", "prompt": "Solve for x: x - 682 = 10(x - 52)", "solution_steps": ["Expand: x - 682 = 10x - 520", "Subtract 10x from both sides: -9x - 682 = -520", "Add 682 to both sides: -9x = 162", "Divide both sides by -9: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 682 = 10(x - 52)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 52, \"d\": -682, \"x\": -18}", "seed": "5800055272211286360", "semantic_fingerprint": "sha256:60a3cb1215a8b308dcd7edc55bfbecc9502815f2a87ccf5ad734dad027a1c3ed", "generator_version": "3.0"}
{"id": "v3_val_00006119", "prompt": "Evaluate: -31 * (-8) + (-94)", "solution_steps": ["Multiply: -31 * (-8) = 248", "Add: 248 + (-94) = 154"], "final_answer": "154", "answer_type": "integer", "kind": "expression", "math_text": "-31 * (-8) + (-94)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": -8, \"c\": -94}", "seed": "3335570841892577573", "semantic_fingerprint": "sha256:ed7afdc00617ea89bb76ba053ed6bce9acacd63f52fe2b511939e3ee994ccb57", "generator_version": "3.0"}
{"id": "v3_val_00006120", "prompt": "Evaluate: -9 - 2 / (79 - (-427) + 67)", "solution_steps": ["Subtract: 79 - (-427) = 506", "Add: 506 + 67 = 573", "Divide: 2 / 573 = 2/573", "Subtract: -9 - 2/573 = -5159/573"], "final_answer": "-5159/573", "answer_type": "rational", "kind": "expression", "math_text": "-9 - 2 / (79 - (-427) + 67)", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"c\": 79, \"d\": -427, \"e\": 67}", "seed": "5941766424203647803", "semantic_fingerprint": "sha256:c07568eb5b933d46646ef2ba748d5f7ae0c6c0f91b8737bbd0301642ecf3d50d", "generator_version": "3.0"}
{"id": "v3_val_00006121", "prompt": "Calculate: -129 - (-540 + 17 - 2 * (91 + 33))", "solution_steps": ["Add: -540 + 17 = -523", "Add: 91 + 33 = 124", "Multiply: 2 * 124 = 248", "Subtract: -523 - 248 = -771", "Subtract: -129 - (-771) = 642"], "final_answer": "642", "answer_type": "integer", "kind": "expression", "math_text": "-129 - (-540 + 17 - 2 * (91 + 33))", "variable": null, "family": "expression_5op", "shape": "(- n (- (+ n n) (* n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -129, \"b\": -540, \"c\": 17, \"d\": 2, \"e\": 91, \"f\": 33}", "seed": "13852788037514292953", "semantic_fingerprint": "sha256:77f9174031c56122565a4592fd72343c1a0b82f04c54c23932da96fe3bb1c8ee", "generator_version": "3.0"}
{"id": "v3_val_00006122", "prompt": "Solve the equation 2(x - 923) - 2 = 8(x + 6) for x.", "solution_steps": ["Expand: 2x - 1846 - 2 = 8(x + 6)", "Expand: 2x - 1846 - 2 = 8x + 48", "Combine constants: 2x - 1848 = 8x + 48", "Subtract 8x from both sides: -6x - 1848 = 48", "Add 1848 to both sides: -6x = 1896", "Divide both sides by -6: x = -316"], "final_answer": "-316", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 923) - 2 = 8(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\": 923, \"c\": 2, \"d\": 8, \"e\": 6}", "seed": "13384335743167927238", "semantic_fingerprint": "sha256:2a7b52f95d13799c7098c76f00987a10436337472f63c025971d99bfeae4fd3d", "generator_version": "3.0"}
{"id": "v3_val_00006123", "prompt": "Calculate: 50 * (-72 / (-245))", "solution_steps": ["Divide: -72 / (-245) = 72/245", "Multiply: 50 * (72/245) = 720/49"], "final_answer": "720/49", "answer_type": "rational", "kind": "expression", "math_text": "50 * (-72 / (-245))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -72, \"c\": -245}", "seed": "17734944897148557184", "semantic_fingerprint": "sha256:1377c92b729bc2bb14d05eb531c61e61501cbcfa13e6bc2901bbfe6fa9e2ad28", "generator_version": "3.0"}
{"id": "v3_val_00006124", "prompt": "What is 7 + 16?", "solution_steps": ["Add: 7 + 16 = 23"], "final_answer": "23", "answer_type": "integer", "kind": "expression", "math_text": "7 + 16", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 16}", "seed": "7188696388533847430", "semantic_fingerprint": "sha256:28885dde4ca9636fd7c75e6bfb17671e5a011fe87667cd587e76ad6bd7e1daf6", "generator_version": "3.0"}
{"id": "v3_val_00006125", "prompt": "Compute: 322 * (-12 + (-9))", "solution_steps": ["Add: -12 + (-9) = -21", "Multiply: 322 * (-21) = -6762"], "final_answer": "-6762", "answer_type": "integer", "kind": "expression", "math_text": "322 * (-12 + (-9))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 322, \"b\": -12, \"c\": -9}", "seed": "6768845096714369761", "semantic_fingerprint": "sha256:57d9afc34d021e8218d6baaf0eb864e883f0c3c9ca5fb30807c429aec8ada14e", "generator_version": "3.0"}
{"id": "v3_val_00006126", "prompt": "Evaluate: -813 + (509 + (-7))", "solution_steps": ["Add: 509 + (-7) = 502", "Add: -813 + 502 = -311"], "final_answer": "-311", "answer_type": "integer", "kind": "expression", "math_text": "-813 + (509 + (-7))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -813, \"b\": 509, \"c\": -7}", "seed": "10352654302967574742", "semantic_fingerprint": "sha256:488c86052145fc2cfca52dd3a1fab8edd39561f6f1e8129a5996b1ec352ee1cb", "generator_version": "3.0"}
{"id": "v3_val_00006127", "prompt": "Compute: 9 * (-9) * (-31)", "solution_steps": ["Multiply: 9 * (-9) = -81", "Multiply: -81 * (-31) = 2511"], "final_answer": "2511", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-9) * (-31)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -9, \"c\": -31}", "seed": "10531856805287644530", "semantic_fingerprint": "sha256:9f1fa949aceb6f6cd4eddc5e25689de8b35ee26f98affccb630c02224494b001", "generator_version": "3.0"}
{"id": "v3_val_00006128", "prompt": "What is 4 - (222 * (-25) - (-28)) / 1?", "solution_steps": ["Multiply: 222 * (-25) = -5550", "Subtract: -5550 - (-28) = -5522", "Divide: -5522 / 1 = -5522", "Subtract: 4 - (-5522) = 5526"], "final_answer": "5526", "answer_type": "integer", "kind": "expression", "math_text": "4 - (222 * (-25) - (-28)) / 1", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 222, \"c\": -25, \"d\": -28, \"e\": 1}", "seed": "2618981470433895297", "semantic_fingerprint": "sha256:853be8ce319262692aacc00478227ad11a381bf5762b336dc039e5da48311e23", "generator_version": "3.0"}
{"id": "v3_val_00006129", "prompt": "Evaluate: (51 + (-33)) * (-5)", "solution_steps": ["Add: 51 + (-33) = 18", "Multiply: 18 * (-5) = -90"], "final_answer": "-90", "answer_type": "integer", "kind": "expression", "math_text": "(51 + (-33)) * (-5)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -33, \"c\": -5}", "seed": "7151348539648306028", "semantic_fingerprint": "sha256:f5558ad7d0b1ffcae59a9edc2f843d180595194a28c4ef3eaaca8a9444d5ced5", "generator_version": "3.0"}
{"id": "v3_val_00006130", "prompt": "Calculate: (0 + (-28)) * 0 / 45", "solution_steps": ["Add: 0 + (-28) = -28", "Multiply: -28 * 0 = 0", "Divide: 0 / 45 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(0 + (-28)) * 0 / 45", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -28, \"c\": 0, \"d\": 45}", "seed": "2366405636404444828", "semantic_fingerprint": "sha256:c2ce2f14494706188ebdd92fac83a19061ea58672017a984d4f48d55c52bc676", "generator_version": "3.0"}
{"id": "v3_val_00006131", "prompt": "Evaluate: (0 - (-2)) / (56 - (-78)) + 2 * (-9)", "solution_steps": ["Subtract: 0 - (-2) = 2", "Subtract: 56 - (-78) = 134", "Divide: 2 / 134 = 1/67", "Multiply: 2 * (-9) = -18", "Add: 1/67 + (-18) = -1205/67"], "final_answer": "-1205/67", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (-2)) / (56 - (-78)) + 2 * (-9)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": 56, \"d\": -78, \"e\": 2, \"f\": -9}", "seed": "11926376504824230255", "semantic_fingerprint": "sha256:1272e9d91086390733b79a847c8ccfb9d191abce842e82a9a26e2cd665e515ba", "generator_version": "3.0"}
{"id": "v3_val_00006132", "prompt": "Compute: 91 + 909 / (83 * (5 / 2))", "solution_steps": ["Divide: 5 / 2 = 5/2", "Multiply: 83 * (5/2) = 415/2", "Divide: 909 / (415/2) = 1818/415", "Add: 91 + 1818/415 = 39583/415"], "final_answer": "39583/415", "answer_type": "rational", "kind": "expression", "math_text": "91 + 909 / (83 * (5 / 2))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (* n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 909, \"c\": 83, \"d\": 5, \"e\": 2}", "seed": "15282033367232357733", "semantic_fingerprint": "sha256:48301bc204f484e3db32bc10108e51d1f35fba339c4cdb3f9ccdd5be75827318", "generator_version": "3.0"}
{"id": "v3_val_00006133", "prompt": "Compute: 7 / (-5) * (-73 - 7)", "solution_steps": ["Divide: 7 / (-5) = -7/5", "Subtract: -73 - 7 = -80", "Multiply: (-7/5) * (-80) = 112"], "final_answer": "112", "answer_type": "integer", "kind": "expression", "math_text": "7 / (-5) * (-73 - 7)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -5, \"c\": -73, \"d\": 7}", "seed": "14264539227259782809", "semantic_fingerprint": "sha256:cdb6fa3e2cea17d6bbb5aad494a9937ea0979b0689d4e32592efb66dca9221e1", "generator_version": "3.0"}
{"id": "v3_val_00006134", "prompt": "Calculate: 16 + 1 * (72 + (-73)) * (-2 / 6)", "solution_steps": ["Add: 72 + (-73) = -1", "Multiply: 1 * (-1) = -1", "Divide: -2 / 6 = -1/3", "Multiply: -1 * (-1/3) = 1/3", "Add: 16 + 1/3 = 49/3"], "final_answer": "49/3", "answer_type": "rational", "kind": "expression", "math_text": "16 + 1 * (72 + (-73)) * (-2 / 6)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (* n (+ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 1, \"c\": 72, \"d\": -73, \"e\": -2, \"f\": 6}", "seed": "10696088290545473683", "semantic_fingerprint": "sha256:4a0127d5b1ff21b2a66e4d64b83542674da01d4fb28f828288dfbc61c875d824", "generator_version": "3.0"}
{"id": "v3_val_00006135", "prompt": "Find x: 12(x - 3) - 4 = 3(x + 3) - 94", "solution_steps": ["Expand: 12x - 36 - 4 = 3(x + 3) - 94", "Expand: 12x - 36 - 4 = 3x + 9 - 94", "Combine constants: 12x - 40 = 3x + 9 - 94", "Combine constants: 12x - 40 = 3x - 85", "Subtract 3x from both sides: 9x - 40 = -85", "Add 40 to both sides: 9x = -45", "Divide both sides by 9: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 3) - 4 = 3(x + 3) - 94", "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\": 4, \"d\": 3, \"e\": 3, \"g\": -94, \"x\": -5}", "seed": "8549292135356180457", "semantic_fingerprint": "sha256:3863e5bd798339e3a87d99559225511583510e3b6a0699db08f580174e11e63c", "generator_version": "3.0"}
{"id": "v3_val_00006136", "prompt": "Find x: 6(x - 147) + 600 = x - 207", "solution_steps": ["Expand: 6x - 882 + 600 = x - 207", "Combine constants: 6x - 282 = x - 207", "Subtract x from both sides: 5x - 282 = -207", "Add 282 to both sides: 5x = 75", "Divide both sides by 5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 147) + 600 = x - 207", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 147, \"c\": 600, \"e\": -207, \"x\": 15}", "seed": "2861442414855958", "semantic_fingerprint": "sha256:8c6ab2152e4d5b4d7019782c68b3f15e2f261376d2d8a8d58edac3be58923773", "generator_version": "3.0"}
{"id": "v3_val_00006137", "prompt": "What is 6 / 535 + (-42)?", "solution_steps": ["Divide: 6 / 535 = 6/535", "Add: 6/535 + (-42) = -22464/535"], "final_answer": "-22464/535", "answer_type": "rational", "kind": "expression", "math_text": "6 / 535 + (-42)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 535, \"c\": -42}", "seed": "10775285502386743719", "semantic_fingerprint": "sha256:e85a81b915d0fd9caeb262f3c6ae08bfbcc10877eb5191ce9f7181de6c7e94ee", "generator_version": "3.0"}
{"id": "v3_val_00006138", "prompt": "What is 2 - (-3 - 638) - (-7 - 2)?", "solution_steps": ["Subtract: -3 - 638 = -641", "Subtract: 2 - (-641) = 643", "Subtract: -7 - 2 = -9", "Subtract: 643 - (-9) = 652"], "final_answer": "652", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-3 - 638) - (-7 - 2)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -3, \"c\": 638, \"d\": -7, \"e\": 2}", "seed": "4291833072394375669", "semantic_fingerprint": "sha256:6c319331a18b2a34328cc7487daa6a3d10f9b1a25c55509790ca4b2953f5e9c6", "generator_version": "3.0"}
{"id": "v3_val_00006139", "prompt": "Compute: -300 * (-2) * 9 / (-260) - (-186)", "solution_steps": ["Multiply: -300 * (-2) = 600", "Multiply: 600 * 9 = 5400", "Divide: 5400 / (-260) = -270/13", "Subtract: -270/13 - (-186) = 2148/13"], "final_answer": "2148/13", "answer_type": "rational", "kind": "expression", "math_text": "-300 * (-2) * 9 / (-260) - (-186)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -300, \"b\": -2, \"c\": 9, \"d\": -260, \"e\": -186}", "seed": "14965385490289303446", "semantic_fingerprint": "sha256:c570d6bc0526ec6ebb4cd1363f6ff41b614ae1c7937a2c3b4984eb99b885b38f", "generator_version": "3.0"}
{"id": "v3_val_00006140", "prompt": "What value of x satisfies x + 75 = 8(x + 27)?", "solution_steps": ["Expand: x + 75 = 8x + 216", "Subtract 8x from both sides: -7x + 75 = 216", "Subtract 75 from both sides: -7x = 141", "Divide both sides by -7: x = -141/7"], "final_answer": "-141/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 75 = 8(x + 27)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 8, \"c\": 27}", "seed": "15258120163355703320", "semantic_fingerprint": "sha256:c3aa03a48129f98068d7e2693ebf4205e0719ab4b92b396c81f379ae49b8c136", "generator_version": "3.0"}
{"id": "v3_val_00006141", "prompt": "Compute: 31 * (3 * 75)", "solution_steps": ["Multiply: 3 * 75 = 225", "Multiply: 31 * 225 = 6975"], "final_answer": "6975", "answer_type": "integer", "kind": "expression", "math_text": "31 * (3 * 75)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 3, \"c\": 75}", "seed": "4981423519980840579", "semantic_fingerprint": "sha256:f91523dd2635ba00be8ee5ea098242002db427140de269591e5cd08acef617a6", "generator_version": "3.0"}
{"id": "v3_val_00006142", "prompt": "Compute: 475 / (-2) / (214 / 4)", "solution_steps": ["Divide: 475 / (-2) = -475/2", "Divide: 214 / 4 = 107/2", "Divide: (-475/2) / (107/2) = -475/107"], "final_answer": "-475/107", "answer_type": "rational", "kind": "expression", "math_text": "475 / (-2) / (214 / 4)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 475, \"b\": -2, \"c\": 214, \"d\": 4}", "seed": "5229602209042653306", "semantic_fingerprint": "sha256:c5a20fc0bfa8b5fa842b8f30e1cf7afa4e91c349d574170a1afecb553f4824ed", "generator_version": "3.0"}
{"id": "v3_val_00006143", "prompt": "Compute: -9 / (-720) - (-17)", "solution_steps": ["Divide: -9 / (-720) = 1/80", "Subtract: 1/80 - (-17) = 1361/80"], "final_answer": "1361/80", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-720) - (-17)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -720, \"c\": -17}", "seed": "13153873754022125130", "semantic_fingerprint": "sha256:c51cf03d1b80a68a54f8963d39921f41d95557176980f9bb53b1fa17247c70e5", "generator_version": "3.0"}
{"id": "v3_val_00006144", "prompt": "Solve for x: x - 351 = 5(x + 20) - 507", "solution_steps": ["Expand: x - 351 = 5x + 100 - 507", "Combine constants: x - 351 = 5x - 407", "Subtract 5x from both sides: -4x - 351 = -407", "Add 351 to both sides: -4x = -56", "Divide both sides by -4: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 351 = 5(x + 20) - 507", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 351, \"b\": 5, \"c\": 20, \"e\": -507, \"x\": 14}", "seed": "3852347412137622322", "semantic_fingerprint": "sha256:b1b9415a9df71b7dd32fe6253178c6a48d8e458aefe13319e65e37f19ee4872e", "generator_version": "3.0"}
{"id": "v3_val_00006145", "prompt": "Calculate: 824 - 4", "solution_steps": ["Subtract: 824 - 4 = 820"], "final_answer": "820", "answer_type": "integer", "kind": "expression", "math_text": "824 - 4", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 824, \"b\": 4}", "seed": "12374381107410914931", "semantic_fingerprint": "sha256:9a488b74351377ff6a6e44a70cf700be29c33461feda769b66fad21ed8c166e3", "generator_version": "3.0"}
{"id": "v3_val_00006146", "prompt": "Calculate: -72 - 47", "solution_steps": ["Subtract: -72 - 47 = -119"], "final_answer": "-119", "answer_type": "integer", "kind": "expression", "math_text": "-72 - 47", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 47}", "seed": "7544211658547953770", "semantic_fingerprint": "sha256:915ad6ba3db46f360a0f7015a945906e9d93a6cbc48c7451f39cf4f269dfa0dc", "generator_version": "3.0"}
{"id": "v3_val_00006147", "prompt": "Solve for x: 6(x + 73) + 11 = -4x + 529", "solution_steps": ["Expand: 6x + 438 + 11 = -4x + 529", "Combine constants: 6x + 449 = -4x + 529", "Add 4x to both sides: 10x + 449 = 529", "Subtract 449 from both sides: 10x = 80", "Divide both sides by 10: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 73) + 11 = -4x + 529", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 73, \"c\": 11, \"d\": -4, \"f\": 529, \"x\": 8}", "seed": "5062829193131308439", "semantic_fingerprint": "sha256:67a27f4a47fa5d9cbec724eff66e389371bdc755f71ffd272c50ab6520c5a271", "generator_version": "3.0"}
{"id": "v3_val_00006148", "prompt": "Compute: (-61 + (-8)) / 338 * (-105 - 8)", "solution_steps": ["Add: -61 + (-8) = -69", "Divide: -69 / 338 = -69/338", "Subtract: -105 - 8 = -113", "Multiply: (-69/338) * (-113) = 7797/338"], "final_answer": "7797/338", "answer_type": "rational", "kind": "expression", "math_text": "(-61 + (-8)) / 338 * (-105 - 8)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -8, \"c\": 338, \"d\": -105, \"e\": 8}", "seed": "3943508805595126383", "semantic_fingerprint": "sha256:59c53556a4452d4a92561ac33fcb3993643f559b78db1718ad4b8143e46557f0", "generator_version": "3.0"}
{"id": "v3_val_00006149", "prompt": "Evaluate: 20 / (-621)", "solution_steps": ["Divide: 20 / (-621) = -20/621"], "final_answer": "-20/621", "answer_type": "rational", "kind": "expression", "math_text": "20 / (-621)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": -621}", "seed": "5746039968934708681", "semantic_fingerprint": "sha256:9ddc9aba8f633b2a333fb195b09e00b2b67f792c63cbc0e5f5d50b4cf73a5dab", "generator_version": "3.0"}
{"id": "v3_val_00006150", "prompt": "Compute: (0 - (-1) * (0 / 6)) / 389", "solution_steps": ["Divide: 0 / 6 = 0", "Multiply: -1 * 0 = 0", "Subtract: 0 - 0 = 0", "Divide: 0 / 389 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-1) * (0 / 6)) / 389", "variable": null, "family": "expression_4op", "shape": "(/ (- n (* n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": 0, \"d\": 6, \"e\": 389}", "seed": "10549234973949866059", "semantic_fingerprint": "sha256:59b33f0bb349fd2cc8bc586ab84b8d1242cf45d73c6c9013e2ffecd253c11b0e", "generator_version": "3.0"}
{"id": "v3_val_00006151", "prompt": "Find x: -10x - 29 = 11", "solution_steps": ["Add 29 to both sides: -10x = 40", "Divide both sides by -10: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 29 = 11", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 29, \"d\": 11, \"x\": -4}", "seed": "16285563154287938198", "semantic_fingerprint": "sha256:e473d36dac4e2ac1ab890d9c6c32b68755b072ea7760d05c274c3ea5dc941400", "generator_version": "3.0"}
{"id": "v3_val_00006152", "prompt": "Evaluate: 5 * (-59) * (176 / (-123) / (-94))", "solution_steps": ["Multiply: 5 * (-59) = -295", "Divide: 176 / (-123) = -176/123", "Divide: (-176/123) / (-94) = 88/5781", "Multiply: -295 * (88/5781) = -25960/5781"], "final_answer": "-25960/5781", "answer_type": "rational", "kind": "expression", "math_text": "5 * (-59) * (176 / (-123) / (-94))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -59, \"c\": 176, \"d\": -123, \"e\": -94}", "seed": "12618449854435146943", "semantic_fingerprint": "sha256:5a4d1bbf9432f303c3d2610861798a133092a5a88bd3addcc000531ce73a2eaf", "generator_version": "3.0"}
{"id": "v3_val_00006153", "prompt": "Solve for x: -10(x - 173) + 8 = 8(x + 67) + 3", "solution_steps": ["Expand: -10x + 1730 + 8 = 8(x + 67) + 3", "Expand: -10x + 1730 + 8 = 8x + 536 + 3", "Combine constants: -10x + 1738 = 8x + 536 + 3", "Combine constants: -10x + 1738 = 8x + 539", "Subtract 8x from both sides: -18x + 1738 = 539", "Subtract 1738 from both sides: -18x = -1199", "Divide both sides by -18: x = 1199/18"], "final_answer": "1199/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 173) + 8 = 8(x + 67) + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 173, \"c\": 8, \"d\": 8, \"e\": 67, \"f\": 3}", "seed": "497886734516316386", "semantic_fingerprint": "sha256:f4c597ec353ddf295fcd5d1a6e1efa94dc7d3d92880ab200b6b4933f1da31f04", "generator_version": "3.0"}
{"id": "v3_val_00006154", "prompt": "Calculate: -78 * (-6 * (-16 - (-81) + (39 - (-20))))", "solution_steps": ["Subtract: -16 - (-81) = 65", "Subtract: 39 - (-20) = 59", "Add: 65 + 59 = 124", "Multiply: -6 * 124 = -744", "Multiply: -78 * (-744) = 58032"], "final_answer": "58032", "answer_type": "integer", "kind": "expression", "math_text": "-78 * (-6 * (-16 - (-81) + (39 - (-20))))", "variable": null, "family": "expression_5op", "shape": "(* n (* n (+ (- n n) (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -6, \"c\": -16, \"d\": -81, \"e\": 39, \"f\": -20}", "seed": "13703747039352675953", "semantic_fingerprint": "sha256:b96bd03147362e69bcc67b503a05b260431e31e23ae586fd08f8115c8fb9b879", "generator_version": "3.0"}
{"id": "v3_val_00006155", "prompt": "Evaluate: 2 + (-6 + (-6) + (-3))", "solution_steps": ["Add: -6 + (-6) = -12", "Add: -12 + (-3) = -15", "Add: 2 + (-15) = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-6 + (-6) + (-3))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -6, \"c\": -6, \"d\": -3}", "seed": "13089607707963754563", "semantic_fingerprint": "sha256:45829488aa3d55a779974dd27698ccaff4001d24967b21874bba034a51515a58", "generator_version": "3.0"}
{"id": "v3_val_00006156", "prompt": "Evaluate: -3 * (-3 - 30 * (9 * (-71)))", "solution_steps": ["Multiply: 9 * (-71) = -639", "Multiply: 30 * (-639) = -19170", "Subtract: -3 - (-19170) = 19167", "Multiply: -3 * 19167 = -57501"], "final_answer": "-57501", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-3 - 30 * (9 * (-71)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (* n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -3, \"c\": 30, \"d\": 9, \"e\": -71}", "seed": "5652433782621826709", "semantic_fingerprint": "sha256:26e65698e229619c3cf45ce8694985c0ab53fe2ef9513768fc59e5f79f9a9419", "generator_version": "3.0"}
{"id": "v3_val_00006157", "prompt": "What is (1 + 21) * 2 - 73 * 990?", "solution_steps": ["Add: 1 + 21 = 22", "Multiply: 22 * 2 = 44", "Multiply: 73 * 990 = 72270", "Subtract: 44 - 72270 = -72226"], "final_answer": "-72226", "answer_type": "integer", "kind": "expression", "math_text": "(1 + 21) * 2 - 73 * 990", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 21, \"c\": 2, \"d\": 73, \"e\": 990}", "seed": "12755834615366885051", "semantic_fingerprint": "sha256:ea9c99e7788750b4ff6f16a6bb47940afdd47097c208e6ebb1f822c119ef31a8", "generator_version": "3.0"}
{"id": "v3_val_00006158", "prompt": "Find x: 11x = 4(x - 394)", "solution_steps": ["Expand: 11x = 4x - 1576", "Subtract 4x from both sides: 7x = -1576", "Divide both sides by 7: x = -1576/7"], "final_answer": "-1576/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = 4(x - 394)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 394}", "seed": "15573061867367913730", "semantic_fingerprint": "sha256:b883bf2712b04caf4568c1c1a412e8c6c9601700258339766a54c0b383148f58", "generator_version": "3.0"}
{"id": "v3_val_00006159", "prompt": "Evaluate: -33 / 9", "solution_steps": ["Divide: -33 / 9 = -11/3"], "final_answer": "-11/3", "answer_type": "rational", "kind": "expression", "math_text": "-33 / 9", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 9}", "seed": "2854665991211813773", "semantic_fingerprint": "sha256:a2272d62962fce57fe383d2895e0c0d9331773eb629ecda8046dc2f29e4c8c8b", "generator_version": "3.0"}
{"id": "v3_val_00006160", "prompt": "Compute: 81 + (-873 + (-246) + 14 * (-91))", "solution_steps": ["Add: -873 + (-246) = -1119", "Multiply: 14 * (-91) = -1274", "Add: -1119 + (-1274) = -2393", "Add: 81 + (-2393) = -2312"], "final_answer": "-2312", "answer_type": "integer", "kind": "expression", "math_text": "81 + (-873 + (-246) + 14 * (-91))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -873, \"c\": -246, \"d\": 14, \"e\": -91}", "seed": "9817132179785043464", "semantic_fingerprint": "sha256:d5438013afcf81db47e5c5753a5f471e46d6f4bc771ab21641be6a1d686e8dff", "generator_version": "3.0"}
{"id": "v3_val_00006161", "prompt": "Solve the equation x - 35 = -30 for x.", "solution_steps": ["Add 35 to both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 35 = -30", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 35, \"c\": -30, \"x\": 5}", "seed": "10371310760618727378", "semantic_fingerprint": "sha256:356d96c3fdce742cbb558813c7aa848de9117a168f799167de77997f13754507", "generator_version": "3.0"}
{"id": "v3_val_00006162", "prompt": "What value of x satisfies 8(x - 45) - 578 = x - 875?", "solution_steps": ["Expand: 8x - 360 - 578 = x - 875", "Combine constants: 8x - 938 = x - 875", "Subtract x from both sides: 7x - 938 = -875", "Add 938 to both sides: 7x = 63", "Divide both sides by 7: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 45) - 578 = x - 875", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 45, \"c\": 578, \"e\": -875, \"x\": 9}", "seed": "8302429416531993584", "semantic_fingerprint": "sha256:2fd59d005402e13b2145f0675da7406d71d5500d27980f974ff52a4cef021d54", "generator_version": "3.0"}
{"id": "v3_val_00006163", "prompt": "Calculate: -26 - 19", "solution_steps": ["Subtract: -26 - 19 = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "expression", "math_text": "-26 - 19", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 19}", "seed": "14263820447975079499", "semantic_fingerprint": "sha256:ca5e4ab0a3ba8cd415ec6e2b033e0b293c67f8c38edf89c5b2bbf335b919974d", "generator_version": "3.0"}
{"id": "v3_val_00006164", "prompt": "Calculate: 9 * (-965) - 71", "solution_steps": ["Multiply: 9 * (-965) = -8685", "Subtract: -8685 - 71 = -8756"], "final_answer": "-8756", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-965) - 71", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -965, \"c\": 71}", "seed": "8686821472738676423", "semantic_fingerprint": "sha256:021663c724faba7436b9953cc383fba69b84b4f3b9b9581c184709ea3b862cb0", "generator_version": "3.0"}
{"id": "v3_val_00006165", "prompt": "What is -509 * (-921 - (-3))?", "solution_steps": ["Subtract: -921 - (-3) = -918", "Multiply: -509 * (-918) = 467262"], "final_answer": "467262", "answer_type": "integer", "kind": "expression", "math_text": "-509 * (-921 - (-3))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -509, \"b\": -921, \"c\": -3}", "seed": "9673390310813515306", "semantic_fingerprint": "sha256:c35cfd74ed391b97eab4b967ef854b1d564e77a18708fb902673664b82e63615", "generator_version": "3.0"}
{"id": "v3_val_00006166", "prompt": "Compute: -504 * (-1 / 3)", "solution_steps": ["Divide: -1 / 3 = -1/3", "Multiply: -504 * (-1/3) = 168"], "final_answer": "168", "answer_type": "integer", "kind": "expression", "math_text": "-504 * (-1 / 3)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -504, \"b\": -1, \"c\": 3}", "seed": "3460068023539605909", "semantic_fingerprint": "sha256:be39f3a20a02475b007788cf05042d57a8188a2d473049fc23bbdca8df08ae11", "generator_version": "3.0"}
{"id": "v3_val_00006167", "prompt": "Compute: 7 * (-66) / 32", "solution_steps": ["Multiply: 7 * (-66) = -462", "Divide: -462 / 32 = -231/16"], "final_answer": "-231/16", "answer_type": "rational", "kind": "expression", "math_text": "7 * (-66) / 32", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -66, \"c\": 32}", "seed": "4753389070823314076", "semantic_fingerprint": "sha256:9d3406407cde2648d3e72983f3db6b4961fd9d41c6a0f57436ea4f53bb19e087", "generator_version": "3.0"}
{"id": "v3_val_00006168", "prompt": "What is 262 + (-441) * (-3 * (-55))?", "solution_steps": ["Multiply: -3 * (-55) = 165", "Multiply: -441 * 165 = -72765", "Add: 262 + (-72765) = -72503"], "final_answer": "-72503", "answer_type": "integer", "kind": "expression", "math_text": "262 + (-441) * (-3 * (-55))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 262, \"b\": -441, \"c\": -3, \"d\": -55}", "seed": "6955017146274291871", "semantic_fingerprint": "sha256:7d281140f56dba0c07fdede4b3f29da6468b21207aa0add3bb9ba42c4275fc4f", "generator_version": "3.0"}
{"id": "v3_val_00006169", "prompt": "Compute: -8 * (-9 / 79)", "solution_steps": ["Divide: -9 / 79 = -9/79", "Multiply: -8 * (-9/79) = 72/79"], "final_answer": "72/79", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (-9 / 79)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -9, \"c\": 79}", "seed": "17298359474491184567", "semantic_fingerprint": "sha256:8ae2e8268774b65eb10c9bf7e76ef5c36929f4d823c73fcb0b82e75c2855dc73", "generator_version": "3.0"}
{"id": "v3_val_00006170", "prompt": "What is -534 - 69 - 68 * 51?", "solution_steps": ["Subtract: -534 - 69 = -603", "Multiply: 68 * 51 = 3468", "Subtract: -603 - 3468 = -4071"], "final_answer": "-4071", "answer_type": "integer", "kind": "expression", "math_text": "-534 - 69 - 68 * 51", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -534, \"b\": 69, \"c\": 68, \"d\": 51}", "seed": "6525535949714716506", "semantic_fingerprint": "sha256:d294c5cf87760cf6c736df292466db1f1b23121b7a8f2f061ca4b14283dc8bbe", "generator_version": "3.0"}
{"id": "v3_val_00006171", "prompt": "Solve the equation 7(x + 38) = -7(x - 31) - 231 for x.", "solution_steps": ["Expand: 7x + 266 = -7(x - 31) - 231", "Expand: 7x + 266 = -7x + 217 - 231", "Combine constants: 7x + 266 = -7x - 14", "Add 7x to both sides: 14x + 266 = -14", "Subtract 266 from both sides: 14x = -280", "Divide both sides by 14: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 38) = -7(x - 31) - 231", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 38, \"c\": -7, \"d\": 31, \"f\": -231, \"x\": -20}", "seed": "14658870158562917693", "semantic_fingerprint": "sha256:6fd2c97ae9221a98fe661534f747dcf5ada04f8bb68c2ce651ddafa00e868b17", "generator_version": "3.0"}
{"id": "v3_val_00006172", "prompt": "Calculate: (1 - 21) / 4", "solution_steps": ["Subtract: 1 - 21 = -20", "Divide: -20 / 4 = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "(1 - 21) / 4", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 21, \"c\": 4}", "seed": "18118596371846038157", "semantic_fingerprint": "sha256:dd179e28bb450870c3e3cffad1f86003a7051b99c86ec394b2def4103f9c7e28", "generator_version": "3.0"}
{"id": "v3_val_00006173", "prompt": "Compute: 23 / (4 * 95)", "solution_steps": ["Multiply: 4 * 95 = 380", "Divide: 23 / 380 = 23/380"], "final_answer": "23/380", "answer_type": "rational", "kind": "expression", "math_text": "23 / (4 * 95)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 4, \"c\": 95}", "seed": "7453536150373933619", "semantic_fingerprint": "sha256:1c678155211cb6596cef617d69306ec98726f531d994d61ab1eb6552bddccf10", "generator_version": "3.0"}
{"id": "v3_val_00006174", "prompt": "Calculate: 8 * (-80 / (-53))", "solution_steps": ["Divide: -80 / (-53) = 80/53", "Multiply: 8 * (80/53) = 640/53"], "final_answer": "640/53", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-80 / (-53))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -80, \"c\": -53}", "seed": "15511921654990344677", "semantic_fingerprint": "sha256:329b18264f8947820d056022fbe990922c7776414a3cdea5e38c14e978e427ab", "generator_version": "3.0"}
{"id": "v3_val_00006175", "prompt": "What is (43 + (-38)) / (224 - 9)?", "solution_steps": ["Add: 43 + (-38) = 5", "Subtract: 224 - 9 = 215", "Divide: 5 / 215 = 1/43"], "final_answer": "1/43", "answer_type": "rational", "kind": "expression", "math_text": "(43 + (-38)) / (224 - 9)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -38, \"c\": 224, \"d\": 9}", "seed": "5072771512130781574", "semantic_fingerprint": "sha256:92b25236e3a1c14467cce41cee520e398106daa3afaaf1b68b440f4198698704", "generator_version": "3.0"}
{"id": "v3_val_00006176", "prompt": "What is -42 * 18?", "solution_steps": ["Multiply: -42 * 18 = -756"], "final_answer": "-756", "answer_type": "integer", "kind": "expression", "math_text": "-42 * 18", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 18}", "seed": "15881850838973814863", "semantic_fingerprint": "sha256:4fa514050a014a0f6bd7608dd3ecf7fe6318a555d472470d2c9d95a5770068c6", "generator_version": "3.0"}
{"id": "v3_val_00006177", "prompt": "Find x: x + 39 = 9x + 151", "solution_steps": ["Subtract 9x from both sides: -8x + 39 = 151", "Subtract 39 from both sides: -8x = 112", "Divide both sides by -8: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 39 = 9x + 151", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 9, \"d\": 151, \"x\": -14}", "seed": "5896296986780854410", "semantic_fingerprint": "sha256:4a369954a830a098d601bc9c7dd42b515b9be16d24014cdd36695a814da1f009", "generator_version": "3.0"}
{"id": "v3_val_00006178", "prompt": "What value of x satisfies -2x - 21 = -6(x - 8) - 25?", "solution_steps": ["Expand: -2x - 21 = -6x + 48 - 25", "Combine constants: -2x - 21 = -6x + 23", "Add 6x to both sides: 4x - 21 = 23", "Add 21 to both sides: 4x = 44", "Divide both sides by 4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 21 = -6(x - 8) - 25", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 21, \"c\": -6, \"d\": 8, \"f\": -25, \"x\": 11}", "seed": "4479101948865244561", "semantic_fingerprint": "sha256:3f6c1d519a8e2ed0851daf2861ec05ac8ea06d9d35a107825d2cd2e08636d36a", "generator_version": "3.0"}
{"id": "v3_val_00006179", "prompt": "Evaluate: -77 / (620 / 13 - 0) - 2", "solution_steps": ["Divide: 620 / 13 = 620/13", "Subtract: 620/13 - 0 = 620/13", "Divide: -77 / (620/13) = -1001/620", "Subtract: -1001/620 - 2 = -2241/620"], "final_answer": "-2241/620", "answer_type": "rational", "kind": "expression", "math_text": "-77 / (620 / 13 - 0) - 2", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 620, \"c\": 13, \"d\": 0, \"e\": 2}", "seed": "5729828976483540806", "semantic_fingerprint": "sha256:33e4c7d712e1760cbb65e5be80f89e95cdae1376da427525aec6cfebfcae8d29", "generator_version": "3.0"}
{"id": "v3_val_00006180", "prompt": "Evaluate: 697 / (-589 / (-63 - 0 * 11))", "solution_steps": ["Multiply: 0 * 11 = 0", "Subtract: -63 - 0 = -63", "Divide: -589 / (-63) = 589/63", "Divide: 697 / (589/63) = 43911/589"], "final_answer": "43911/589", "answer_type": "rational", "kind": "expression", "math_text": "697 / (-589 / (-63 - 0 * 11))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (- n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 697, \"b\": -589, \"c\": -63, \"d\": 0, \"e\": 11}", "seed": "474648699490472747", "semantic_fingerprint": "sha256:ab7e49bdbc4febc3652b77e3a3a3c4e9391a0f94f281beaaa11a7ded67ad0cdd", "generator_version": "3.0"}
{"id": "v3_val_00006181", "prompt": "Evaluate: 7 * 43", "solution_steps": ["Multiply: 7 * 43 = 301"], "final_answer": "301", "answer_type": "integer", "kind": "expression", "math_text": "7 * 43", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 43}", "seed": "2751215206693208263", "semantic_fingerprint": "sha256:1975c45f03e8dfb867e93874951f460cb917d1a6d77e8f89b3f4d86f7baf3f52", "generator_version": "3.0"}
{"id": "v3_val_00006182", "prompt": "Calculate: -559 + 702", "solution_steps": ["Add: -559 + 702 = 143"], "final_answer": "143", "answer_type": "integer", "kind": "expression", "math_text": "-559 + 702", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -559, \"b\": 702}", "seed": "8754729206849565940", "semantic_fingerprint": "sha256:6d0bd7bb72f9be071dc7f6ee098c03d0ca5702fee80308930de44a017f0866e4", "generator_version": "3.0"}
{"id": "v3_val_00006183", "prompt": "Compute: -26 - 0", "solution_steps": ["Subtract: -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": "17825118587015274160", "semantic_fingerprint": "sha256:a4836896ace32580c9174d1bf7917a12778d5dbb444b0d25b8fd9c3d1ee1d2c5", "generator_version": "3.0"}
{"id": "v3_val_00006184", "prompt": "Solve for x: 4x + 175 = x + 127", "solution_steps": ["Subtract x from both sides: 3x + 175 = 127", "Subtract 175 from both sides: 3x = -48", "Divide both sides by 3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 175 = x + 127", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 175, \"d\": 127, \"x\": -16}", "seed": "4701812197037212869", "semantic_fingerprint": "sha256:b4654d461fb56bd78a9e74ac06c15c98111ea6e1837530b72ecf57328d03656d", "generator_version": "3.0"}
{"id": "v3_val_00006185", "prompt": "Solve for x: x - 8 = 4(x + 4) - 54", "solution_steps": ["Expand: x - 8 = 4x + 16 - 54", "Combine constants: x - 8 = 4x - 38", "Subtract 4x from both sides: -3x - 8 = -38", "Add 8 to both sides: -3x = -30", "Divide both sides by -3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 4(x + 4) - 54", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 4, \"e\": -54, \"x\": 10}", "seed": "1966108644317957676", "semantic_fingerprint": "sha256:de84715208d56bc8125b0608d4893b81b8e5e18ce096e5ce6cee99257cbe00eb", "generator_version": "3.0"}
{"id": "v3_val_00006186", "prompt": "Evaluate: (-53 + (-579)) * (66 - 9)", "solution_steps": ["Add: -53 + (-579) = -632", "Subtract: 66 - 9 = 57", "Multiply: -632 * 57 = -36024"], "final_answer": "-36024", "answer_type": "integer", "kind": "expression", "math_text": "(-53 + (-579)) * (66 - 9)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -579, \"c\": 66, \"d\": 9}", "seed": "14741389308224240199", "semantic_fingerprint": "sha256:b87f4f080d7565458f6024619cabe98bebd1e1ef95c1abd342305760e95bb2ee", "generator_version": "3.0"}
{"id": "v3_val_00006187", "prompt": "Calculate: 7 / (6 + (-7))", "solution_steps": ["Add: 6 + (-7) = -1", "Divide: 7 / (-1) = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "7 / (6 + (-7))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": -7}", "seed": "7127785038012933149", "semantic_fingerprint": "sha256:87cdee892c1d54c64fd2ce696c22c4e41354bab8c8d83253d533680f9b6a453b", "generator_version": "3.0"}
{"id": "v3_val_00006188", "prompt": "Evaluate: 453 + (60 - (-521)) * (-5)", "solution_steps": ["Subtract: 60 - (-521) = 581", "Multiply: 581 * (-5) = -2905", "Add: 453 + (-2905) = -2452"], "final_answer": "-2452", "answer_type": "integer", "kind": "expression", "math_text": "453 + (60 - (-521)) * (-5)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 453, \"b\": 60, \"c\": -521, \"d\": -5}", "seed": "7979842258130904006", "semantic_fingerprint": "sha256:e86e70696fe83e25702867ffd4d74483209e5277adb17b4bc3037af17d54369a", "generator_version": "3.0"}
{"id": "v3_val_00006189", "prompt": "What is 9 + 5 + (9 / (-350) + 60)?", "solution_steps": ["Add: 9 + 5 = 14", "Divide: 9 / (-350) = -9/350", "Add: -9/350 + 60 = 20991/350", "Add: 14 + 20991/350 = 25891/350"], "final_answer": "25891/350", "answer_type": "rational", "kind": "expression", "math_text": "9 + 5 + (9 / (-350) + 60)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 9, \"d\": -350, \"e\": 60}", "seed": "3720127724601742768", "semantic_fingerprint": "sha256:d66be24f608f0257e2a16228b238e0a4b57f8c005f8c1fecb2ca6be01010825c", "generator_version": "3.0"}
{"id": "v3_val_00006190", "prompt": "Find x: x - 9 = 3", "solution_steps": ["Add 9 to both sides: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 3", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3}", "seed": "14495940151682533667", "semantic_fingerprint": "sha256:66e7c34f00d35437c3e066f4192f7340e813edf6e2b3a578eca1f45394b68100", "generator_version": "3.0"}
{"id": "v3_val_00006191", "prompt": "Find x: -2x + 84 = 12x", "solution_steps": ["Subtract 12x from both sides: -14x + 84 = 0", "Subtract 84 from both sides: -14x = -84", "Divide both sides by -14: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x + 84 = 12x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 12, \"d\": 84, \"x\": 6}", "seed": "2660326373559594464", "semantic_fingerprint": "sha256:50d0592ca9b7b8a5d2a1f95bae6a44e883f3eaab772fc5d523282d1600ab25fc", "generator_version": "3.0"}
{"id": "v3_val_00006192", "prompt": "Evaluate: 3 + (-6) * 930", "solution_steps": ["Multiply: -6 * 930 = -5580", "Add: 3 + (-5580) = -5577"], "final_answer": "-5577", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-6) * 930", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -6, \"c\": 930}", "seed": "16717206564296611557", "semantic_fingerprint": "sha256:a053fddb76a86ab19e1f35d7a2952161944f07f1e41f7a2d422ead506e59636c", "generator_version": "3.0"}
{"id": "v3_val_00006193", "prompt": "What is -3 * (-17)?", "solution_steps": ["Multiply: -3 * (-17) = 51"], "final_answer": "51", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-17)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -17}", "seed": "11536834102754849080", "semantic_fingerprint": "sha256:8073a9e8411b3395459e227180ba689c294196264747cbda8181fbe6c387babc", "generator_version": "3.0"}
{"id": "v3_val_00006194", "prompt": "What is (3 * (-71 - (-765)) - 538) / (-35 - 97)?", "solution_steps": ["Subtract: -71 - (-765) = 694", "Multiply: 3 * 694 = 2082", "Subtract: 2082 - 538 = 1544", "Subtract: -35 - 97 = -132", "Divide: 1544 / (-132) = -386/33"], "final_answer": "-386/33", "answer_type": "rational", "kind": "expression", "math_text": "(3 * (-71 - (-765)) - 538) / (-35 - 97)", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n (- n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -71, \"c\": -765, \"d\": 538, \"e\": -35, \"f\": 97}", "seed": "13319311926641243951", "semantic_fingerprint": "sha256:da3c0dc574c02ec0e2bf8a60433383036124eabb7bbace280c424eb168a2797b", "generator_version": "3.0"}
{"id": "v3_val_00006195", "prompt": "Evaluate: (-1 / (4 * 11 + (-4)) - 448) / (-17)", "solution_steps": ["Multiply: 4 * 11 = 44", "Add: 44 + (-4) = 40", "Divide: -1 / 40 = -1/40", "Subtract: -1/40 - 448 = -17921/40", "Divide: (-17921/40) / (-17) = 17921/680"], "final_answer": "17921/680", "answer_type": "rational", "kind": "expression", "math_text": "(-1 / (4 * 11 + (-4)) - 448) / (-17)", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n (+ (* n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 4, \"c\": 11, \"d\": -4, \"e\": 448, \"f\": -17}", "seed": "17198890286527808697", "semantic_fingerprint": "sha256:4f852964e1ecbd270bc8fe3dfc3b4a045892d0145406a2df7ddde002ea5b2702", "generator_version": "3.0"}
{"id": "v3_val_00006196", "prompt": "Compute: 48 + (-24) - 1 * (-34)", "solution_steps": ["Add: 48 + (-24) = 24", "Multiply: 1 * (-34) = -34", "Subtract: 24 - (-34) = 58"], "final_answer": "58", "answer_type": "integer", "kind": "expression", "math_text": "48 + (-24) - 1 * (-34)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -24, \"c\": 1, \"d\": -34}", "seed": "10757087145043418319", "semantic_fingerprint": "sha256:1d496f41e9d78e79b3395fe27020d7c3509e96a32ef3322e62724d4225a32e49", "generator_version": "3.0"}
{"id": "v3_val_00006197", "prompt": "Compute: 0 * (-339 - (-53))", "solution_steps": ["Subtract: -339 - (-53) = -286", "Multiply: 0 * (-286) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-339 - (-53))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -339, \"c\": -53}", "seed": "17162852866070986699", "semantic_fingerprint": "sha256:246e281bb8a7e5fec473de7d49143fd965fe5da680008d9d188371bd15284646", "generator_version": "3.0"}
{"id": "v3_val_00006198", "prompt": "Calculate: (24 + (-59)) / 6", "solution_steps": ["Add: 24 + (-59) = -35", "Divide: -35 / 6 = -35/6"], "final_answer": "-35/6", "answer_type": "rational", "kind": "expression", "math_text": "(24 + (-59)) / 6", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -59, \"c\": 6}", "seed": "6924013962853942456", "semantic_fingerprint": "sha256:7b8c67e23ef2c07e0ecb813f24731045387ed5554eec735706588d3dba48dad8", "generator_version": "3.0"}
{"id": "v3_val_00006199", "prompt": "Compute: 21 * (-571)", "solution_steps": ["Multiply: 21 * (-571) = -11991"], "final_answer": "-11991", "answer_type": "integer", "kind": "expression", "math_text": "21 * (-571)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -571}", "seed": "17178687666275948072", "semantic_fingerprint": "sha256:0fd2f59aefe68419ebff13552206e31040482848edb259c8641b5427cb469bfa", "generator_version": "3.0"}
{"id": "v3_val_00006200", "prompt": "Find x: -12(x + 1) + 92 = 9(x - 2)", "solution_steps": ["Expand: -12x - 12 + 92 = 9(x - 2)", "Expand: -12x - 12 + 92 = 9x - 18", "Combine constants: -12x + 80 = 9x - 18", "Subtract 9x from both sides: -21x + 80 = -18", "Subtract 80 from both sides: -21x = -98", "Divide both sides by -21: x = 14/3"], "final_answer": "14/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 1) + 92 = 9(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 1, \"c\": 92, \"d\": 9, \"e\": 2}", "seed": "16741042811818347831", "semantic_fingerprint": "sha256:f1d9435682300f2227f67ca69458be64e137ec891f77437ee40d101d0b436cd4", "generator_version": "3.0"}
{"id": "v3_val_00006201", "prompt": "Solve for x: -4x = 6(x - 3)", "solution_steps": ["Expand: -4x = 6x - 18", "Subtract 6x from both sides: -10x = -18", "Divide both sides by -10: x = 9/5"], "final_answer": "9/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x = 6(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 3}", "seed": "6954918775198162855", "semantic_fingerprint": "sha256:df5d773da8bfaa6df73a4d0274565f53ce05b94b7203ee8eb74ffd208f6ffdf9", "generator_version": "3.0"}
{"id": "v3_val_00006202", "prompt": "What is 5 * 13 * (-223) - 562 * 8?", "solution_steps": ["Multiply: 5 * 13 = 65", "Multiply: 65 * (-223) = -14495", "Multiply: 562 * 8 = 4496", "Subtract: -14495 - 4496 = -18991"], "final_answer": "-18991", "answer_type": "integer", "kind": "expression", "math_text": "5 * 13 * (-223) - 562 * 8", "variable": null, "family": "expression_4op", "shape": "(- (* (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 13, \"c\": -223, \"d\": 562, \"e\": 8}", "seed": "11708007285295924863", "semantic_fingerprint": "sha256:76ecfdd1adf8b88ac97336bf35b59da3fc4c45cec3270f9b025576eaf485a759", "generator_version": "3.0"}
{"id": "v3_val_00006203", "prompt": "Solve the equation 4(x + 8) = x - 10 for x.", "solution_steps": ["Expand: 4x + 32 = x - 10", "Subtract x from both sides: 3x + 32 = -10", "Subtract 32 from both sides: 3x = -42", "Divide both sides by 3: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 8) = x - 10", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"d\": -10, \"x\": -14}", "seed": "18069626566931132149", "semantic_fingerprint": "sha256:b187b403be9e6f4285ee13a814970cf693203dbec3d812e3673f0dcc43b17dd1", "generator_version": "3.0"}
{"id": "v3_val_00006204", "prompt": "Calculate: -4 / (938 + (-7)) * (-28)", "solution_steps": ["Add: 938 + (-7) = 931", "Divide: -4 / 931 = -4/931", "Multiply: (-4/931) * (-28) = 16/133"], "final_answer": "16/133", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (938 + (-7)) * (-28)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 938, \"c\": -7, \"d\": -28}", "seed": "299327592981983225", "semantic_fingerprint": "sha256:f7c4302f303d1398920ef407ea84fa9baf2593cd59c9e76e7e615d89a39813b4", "generator_version": "3.0"}
{"id": "v3_val_00006205", "prompt": "What value of x satisfies 3x - 480 = x - 476?", "solution_steps": ["Subtract x from both sides: 2x - 480 = -476", "Add 480 to both sides: 2x = 4", "Divide both sides by 2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 480 = x - 476", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 480, \"d\": -476, \"x\": 2}", "seed": "16344006398445868630", "semantic_fingerprint": "sha256:180e64bd4d0dc04921bd7cf5f677414647a7f00d43013842bcc645198d18e9d4", "generator_version": "3.0"}
{"id": "v3_val_00006206", "prompt": "Evaluate: 61 / (-72)", "solution_steps": ["Divide: 61 / (-72) = -61/72"], "final_answer": "-61/72", "answer_type": "rational", "kind": "expression", "math_text": "61 / (-72)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -72}", "seed": "17072761627578342998", "semantic_fingerprint": "sha256:479c3545951e1239d5aaba7d4de92c811d38106a8c0e0aa2009288d34181e3c4", "generator_version": "3.0"}
{"id": "v3_val_00006207", "prompt": "Calculate: 483 - 5", "solution_steps": ["Subtract: 483 - 5 = 478"], "final_answer": "478", "answer_type": "integer", "kind": "expression", "math_text": "483 - 5", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 483, \"b\": 5}", "seed": "10486361009362330267", "semantic_fingerprint": "sha256:bddb178d3814917fea0609ac146fac1951ec1b6ea052511f5b475cbcdaf369d3", "generator_version": "3.0"}
{"id": "v3_val_00006208", "prompt": "Calculate: -6 / 5 * 225", "solution_steps": ["Divide: -6 / 5 = -6/5", "Multiply: (-6/5) * 225 = -270"], "final_answer": "-270", "answer_type": "integer", "kind": "expression", "math_text": "-6 / 5 * 225", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 5, \"c\": 225}", "seed": "5504043522206899413", "semantic_fingerprint": "sha256:e355ba0c52568f7c6ad76c27bed35d0128aec6918b59b47b119189a674ceb6aa", "generator_version": "3.0"}
{"id": "v3_val_00006209", "prompt": "Compute: (73 - (-3)) / (-5 - 7)", "solution_steps": ["Subtract: 73 - (-3) = 76", "Subtract: -5 - 7 = -12", "Divide: 76 / (-12) = -19/3"], "final_answer": "-19/3", "answer_type": "rational", "kind": "expression", "math_text": "(73 - (-3)) / (-5 - 7)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -3, \"c\": -5, \"d\": 7}", "seed": "2956469556347114730", "semantic_fingerprint": "sha256:9ba9fed8c208d1e8d7644de7ce331d9255b1d1d65a4bd52c06be91047ce206ba", "generator_version": "3.0"}
{"id": "v3_val_00006210", "prompt": "Evaluate: 526 - 63", "solution_steps": ["Subtract: 526 - 63 = 463"], "final_answer": "463", "answer_type": "integer", "kind": "expression", "math_text": "526 - 63", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 526, \"b\": 63}", "seed": "3956945369408476517", "semantic_fingerprint": "sha256:53fc6ce159d12e304944f53a59ea6c6179d5def26892ccbadbd61f1746ebdf4e", "generator_version": "3.0"}
{"id": "v3_val_00006211", "prompt": "Find x: 7(x + 39) + 5 = -9(x - 10) + 140", "solution_steps": ["Expand: 7x + 273 + 5 = -9(x - 10) + 140", "Expand: 7x + 273 + 5 = -9x + 90 + 140", "Combine constants: 7x + 278 = -9x + 90 + 140", "Combine constants: 7x + 278 = -9x + 230", "Add 9x to both sides: 16x + 278 = 230", "Subtract 278 from both sides: 16x = -48", "Divide both sides by 16: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 39) + 5 = -9(x - 10) + 140", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 39, \"c\": 5, \"d\": -9, \"e\": 10, \"g\": 140, \"x\": -3}", "seed": "4614024114493561615", "semantic_fingerprint": "sha256:97c0cea19dd74981f234356b986badb66b2cf6f99ef579189a4583f54e124dc9", "generator_version": "3.0"}
{"id": "v3_val_00006212", "prompt": "Compute: (-2 + 550 + 5 + (-549)) / 476", "solution_steps": ["Add: -2 + 550 = 548", "Add: 548 + 5 = 553", "Add: 553 + (-549) = 4", "Divide: 4 / 476 = 1/119"], "final_answer": "1/119", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + 550 + 5 + (-549)) / 476", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 550, \"c\": 5, \"d\": -549, \"e\": 476}", "seed": "3815566438289478867", "semantic_fingerprint": "sha256:b76c3caadfdd539e403cef9365df16f88f0f7832c830a4ab1ed6f6ac89e6d2f6", "generator_version": "3.0"}
{"id": "v3_val_00006213", "prompt": "Solve the equation -12(x - 707) - 202 = -11(x - 716) + 402 for x.", "solution_steps": ["Expand: -12x + 8484 - 202 = -11(x - 716) + 402", "Expand: -12x + 8484 - 202 = -11x + 7876 + 402", "Combine constants: -12x + 8282 = -11x + 7876 + 402", "Combine constants: -12x + 8282 = -11x + 8278", "Add 11x to both sides: -x + 8282 = 8278", "Subtract 8282 from both sides: -x = -4", "Divide both sides by -1: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 707) - 202 = -11(x - 716) + 402", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 707, \"c\": 202, \"d\": -11, \"e\": 716, \"g\": 402, \"x\": 4}", "seed": "4409151677489962616", "semantic_fingerprint": "sha256:b17368752ee8ad35f2c285c15d532ced1cc0df338bc284303f78b4fc9431759e", "generator_version": "3.0"}
{"id": "v3_val_00006214", "prompt": "Solve for x: 10x + 80 = 4(x - 9) + 164", "solution_steps": ["Expand: 10x + 80 = 4x - 36 + 164", "Combine constants: 10x + 80 = 4x + 128", "Subtract 4x from both sides: 6x + 80 = 128", "Subtract 80 from both sides: 6x = 48", "Divide both sides by 6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 80 = 4(x - 9) + 164", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 80, \"c\": 4, \"d\": 9, \"f\": 164, \"x\": 8}", "seed": "8113706152003550283", "semantic_fingerprint": "sha256:ae7fa889c548adb7299246da503eb3cda8bbcafbc316c8140883b09242de33d4", "generator_version": "3.0"}
{"id": "v3_val_00006215", "prompt": "Calculate: 44 - 1 + (-108) * (-8)", "solution_steps": ["Subtract: 44 - 1 = 43", "Multiply: -108 * (-8) = 864", "Add: 43 + 864 = 907"], "final_answer": "907", "answer_type": "integer", "kind": "expression", "math_text": "44 - 1 + (-108) * (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 1, \"c\": -108, \"d\": -8}", "seed": "8658042931446943129", "semantic_fingerprint": "sha256:3615db541af3a0d62a6fca3525dc3e92fa27666f0cd3818b31fda0b3068994b6", "generator_version": "3.0"}
{"id": "v3_val_00006216", "prompt": "Solve the equation 11(x + 90) = x for x.", "solution_steps": ["Expand: 11x + 990 = x", "Subtract x from both sides: 10x + 990 = 0", "Subtract 990 from both sides: 10x = -990", "Divide both sides by 10: x = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 90) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 90}", "seed": "7942159786651623426", "semantic_fingerprint": "sha256:91ad0ca9799d854e0a1ac724f054a6819e8d224d36115d012b39e7fdaa9cc2a6", "generator_version": "3.0"}
{"id": "v3_val_00006217", "prompt": "Compute: 22 + (-33) * (-445) + 8 * (-97 / (-9))", "solution_steps": ["Multiply: -33 * (-445) = 14685", "Add: 22 + 14685 = 14707", "Divide: -97 / (-9) = 97/9", "Multiply: 8 * (97/9) = 776/9", "Add: 14707 + 776/9 = 133139/9"], "final_answer": "133139/9", "answer_type": "rational", "kind": "expression", "math_text": "22 + (-33) * (-445) + 8 * (-97 / (-9))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n n)) (* n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -33, \"c\": -445, \"d\": 8, \"e\": -97, \"f\": -9}", "seed": "8700393964499856171", "semantic_fingerprint": "sha256:be1fd03c5c5a610450403d196005c75622f23a9b7e1cb541727127ec1d4da444", "generator_version": "3.0"}
{"id": "v3_val_00006218", "prompt": "Calculate: -981 / 203 + (46 * (-5 - 48) + 0)", "solution_steps": ["Divide: -981 / 203 = -981/203", "Subtract: -5 - 48 = -53", "Multiply: 46 * (-53) = -2438", "Add: -2438 + 0 = -2438", "Add: -981/203 + (-2438) = -495895/203"], "final_answer": "-495895/203", "answer_type": "rational", "kind": "expression", "math_text": "-981 / 203 + (46 * (-5 - 48) + 0)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ (* n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -981, \"b\": 203, \"c\": 46, \"d\": -5, \"e\": 48, \"f\": 0}", "seed": "11712762694452595671", "semantic_fingerprint": "sha256:fd19467156a5b76871b2b041ef8077ae896a9d10daf03a3873711917230afe7d", "generator_version": "3.0"}
{"id": "v3_val_00006219", "prompt": "Calculate: 74 * 59", "solution_steps": ["Multiply: 74 * 59 = 4366"], "final_answer": "4366", "answer_type": "integer", "kind": "expression", "math_text": "74 * 59", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 59}", "seed": "6325576851599021297", "semantic_fingerprint": "sha256:a82af8be9e31579da6df8ada455d30aba81daac85f3000e125f6f75541746c2c", "generator_version": "3.0"}
{"id": "v3_val_00006220", "prompt": "Solve for x: -4(x + 6) - 1 = 11(x + 81) - 30", "solution_steps": ["Expand: -4x - 24 - 1 = 11(x + 81) - 30", "Expand: -4x - 24 - 1 = 11x + 891 - 30", "Combine constants: -4x - 25 = 11x + 891 - 30", "Combine constants: -4x - 25 = 11x + 861", "Subtract 11x from both sides: -15x - 25 = 861", "Add 25 to both sides: -15x = 886", "Divide both sides by -15: x = -886/15"], "final_answer": "-886/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 6) - 1 = 11(x + 81) - 30", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 1, \"d\": 11, \"e\": 81, \"f\": 30}", "seed": "14420992227316921062", "semantic_fingerprint": "sha256:ebb3852659e43a3597ccbcc71a55ea2fb7d57ad1216663c20286d638365f4b02", "generator_version": "3.0"}
{"id": "v3_val_00006221", "prompt": "Calculate: -51 * 2 / (-616 / (-15))", "solution_steps": ["Multiply: -51 * 2 = -102", "Divide: -616 / (-15) = 616/15", "Divide: -102 / (616/15) = -765/308"], "final_answer": "-765/308", "answer_type": "rational", "kind": "expression", "math_text": "-51 * 2 / (-616 / (-15))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 2, \"c\": -616, \"d\": -15}", "seed": "7757175999440721320", "semantic_fingerprint": "sha256:1691935e9a9a6471da6372981f54e789facc8b10bf9a16357bc32e469dd582a5", "generator_version": "3.0"}
{"id": "v3_val_00006222", "prompt": "What is 2 / 41 + (-5 + (-92)) - (-65 + 76)?", "solution_steps": ["Divide: 2 / 41 = 2/41", "Add: -5 + (-92) = -97", "Add: 2/41 + (-97) = -3975/41", "Add: -65 + 76 = 11", "Subtract: -3975/41 - 11 = -4426/41"], "final_answer": "-4426/41", "answer_type": "rational", "kind": "expression", "math_text": "2 / 41 + (-5 + (-92)) - (-65 + 76)", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 41, \"c\": -5, \"d\": -92, \"e\": -65, \"f\": 76}", "seed": "6837005937010043094", "semantic_fingerprint": "sha256:a5ad80956ba749d6592eaa5ae72e293ac62779bc1fa922e56076c0ffbffe124d", "generator_version": "3.0"}
{"id": "v3_val_00006223", "prompt": "What is (5 - (-39)) * 2?", "solution_steps": ["Subtract: 5 - (-39) = 44", "Multiply: 44 * 2 = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "(5 - (-39)) * 2", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -39, \"c\": 2}", "seed": "4263626591935236017", "semantic_fingerprint": "sha256:32839518bcc630d7f24aa9cf12b3a342549672ca92d94a714e5f0d5338545748", "generator_version": "3.0"}
{"id": "v3_val_00006224", "prompt": "Evaluate: 86 * (-3) * (-119) / (-18)", "solution_steps": ["Multiply: 86 * (-3) = -258", "Multiply: -258 * (-119) = 30702", "Divide: 30702 / (-18) = -5117/3"], "final_answer": "-5117/3", "answer_type": "rational", "kind": "expression", "math_text": "86 * (-3) * (-119) / (-18)", "variable": null, "family": "expression_3op", "shape": "(/ (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -3, \"c\": -119, \"d\": -18}", "seed": "1223545828436459427", "semantic_fingerprint": "sha256:89807f370d3cb64d1cbc2de46c254e8890cb5a50b5cc768442a411e3acdedfb0", "generator_version": "3.0"}
{"id": "v3_val_00006225", "prompt": "Evaluate: 19 * (7 / (4 + (-12 + 60)))", "solution_steps": ["Add: -12 + 60 = 48", "Add: 4 + 48 = 52", "Divide: 7 / 52 = 7/52", "Multiply: 19 * (7/52) = 133/52"], "final_answer": "133/52", "answer_type": "rational", "kind": "expression", "math_text": "19 * (7 / (4 + (-12 + 60)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 7, \"c\": 4, \"d\": -12, \"e\": 60}", "seed": "14450841705466254289", "semantic_fingerprint": "sha256:9b7d2032d18908de29b9c0074fb9b05e052d824335f8de0ca40948e64bec50a2", "generator_version": "3.0"}
{"id": "v3_val_00006226", "prompt": "Evaluate: 286 + (-77) / (-86)", "solution_steps": ["Divide: -77 / (-86) = 77/86", "Add: 286 + 77/86 = 24673/86"], "final_answer": "24673/86", "answer_type": "rational", "kind": "expression", "math_text": "286 + (-77) / (-86)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 286, \"b\": -77, \"c\": -86}", "seed": "4816040995801727678", "semantic_fingerprint": "sha256:5bf75f602066c7bb0425673abbc7b45e3cf211e1cd7708fe20041dd896d5d506", "generator_version": "3.0"}
{"id": "v3_val_00006227", "prompt": "Find x: -6x - 50 = 2x", "solution_steps": ["Subtract 2x from both sides: -8x - 50 = 0", "Add 50 to both sides: -8x = 50", "Divide both sides by -8: x = -25/4"], "final_answer": "-25/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x - 50 = 2x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 50, \"c\": 2}", "seed": "12024395477803012487", "semantic_fingerprint": "sha256:762eeeb6d2a859a475e21a7739f4ecab2448621a9b666b4ec0711ac84805b68a", "generator_version": "3.0"}
{"id": "v3_val_00006228", "prompt": "What value of x satisfies -5(x - 43) = 145?", "solution_steps": ["Expand: -5x + 215 = 145", "Subtract 215 from both sides: -5x = -70", "Divide both sides by -5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 43) = 145", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 43, \"d\": 145, \"x\": 14}", "seed": "7916280713627433932", "semantic_fingerprint": "sha256:5d277abba69ea7aaf3ed81ed9ddc9b46025981ec6f44303639c064159039ac6c", "generator_version": "3.0"}
{"id": "v3_val_00006229", "prompt": "Calculate: 1 - (-5) - 3", "solution_steps": ["Subtract: 1 - (-5) = 6", "Subtract: 6 - 3 = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-5) - 3", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -5, \"c\": 3}", "seed": "15317192153740728798", "semantic_fingerprint": "sha256:c8fcf16f7137acd2b97d66085e7f372e2a1ae0e1ccd224e27dc7fbdb253bbdbd", "generator_version": "3.0"}
{"id": "v3_val_00006230", "prompt": "Solve the equation 8(x - 6) = x + 92 for x.", "solution_steps": ["Expand: 8x - 48 = x + 92", "Subtract x from both sides: 7x - 48 = 92", "Add 48 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 - 6) = x + 92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"d\": 92, \"x\": 20}", "seed": "13360971821801247995", "semantic_fingerprint": "sha256:7e729bc006af9c51b8fc036132fb604ae19e86e69ae94d7b2e68f16bc8e1e03c", "generator_version": "3.0"}
{"id": "v3_val_00006231", "prompt": "What is -723 * 7?", "solution_steps": ["Multiply: -723 * 7 = -5061"], "final_answer": "-5061", "answer_type": "integer", "kind": "expression", "math_text": "-723 * 7", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -723, \"b\": 7}", "seed": "15272840491265307412", "semantic_fingerprint": "sha256:97f9b46b9b7ad69336b06acd9aa59fe124e3b46d914d25bb7a5c43d856d98f3e", "generator_version": "3.0"}
{"id": "v3_val_00006232", "prompt": "Calculate: 0 * (0 - 1 + 47) * (-27 / 659)", "solution_steps": ["Subtract: 0 - 1 = -1", "Add: -1 + 47 = 46", "Multiply: 0 * 46 = 0", "Divide: -27 / 659 = -27/659", "Multiply: 0 * (-27/659) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (0 - 1 + 47) * (-27 / 659)", "variable": null, "family": "expression_5op", "shape": "(* (* n (+ (- n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 1, \"d\": 47, \"e\": -27, \"f\": 659}", "seed": "11857617770441447726", "semantic_fingerprint": "sha256:24fa6f8ff4296733daffbc593a16f44c067ae06293aa2d36107105eabbd26423", "generator_version": "3.0"}
{"id": "v3_val_00006233", "prompt": "What is 610 - (8 + (-2) * (-973))?", "solution_steps": ["Multiply: -2 * (-973) = 1946", "Add: 8 + 1946 = 1954", "Subtract: 610 - 1954 = -1344"], "final_answer": "-1344", "answer_type": "integer", "kind": "expression", "math_text": "610 - (8 + (-2) * (-973))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 610, \"b\": 8, \"c\": -2, \"d\": -973}", "seed": "17054322774160870482", "semantic_fingerprint": "sha256:47915961fc1872236bfa541233faa4e26f070dc92873859da97e8dd893737bd4", "generator_version": "3.0"}
{"id": "v3_val_00006234", "prompt": "What is 41 / 3 + 6?", "solution_steps": ["Divide: 41 / 3 = 41/3", "Add: 41/3 + 6 = 59/3"], "final_answer": "59/3", "answer_type": "rational", "kind": "expression", "math_text": "41 / 3 + 6", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 3, \"c\": 6}", "seed": "15352429494248178068", "semantic_fingerprint": "sha256:ab23686d6c0dcb87211c6b15e440e18cd8d391df4a67cd8b3060d5d7e6558b4c", "generator_version": "3.0"}
{"id": "v3_val_00006235", "prompt": "What is -4 / (-519) * (4 + 13 / (-60) * (-1))?", "solution_steps": ["Divide: -4 / (-519) = 4/519", "Divide: 13 / (-60) = -13/60", "Multiply: (-13/60) * (-1) = 13/60", "Add: 4 + 13/60 = 253/60", "Multiply: (4/519) * (253/60) = 253/7785"], "final_answer": "253/7785", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-519) * (4 + 13 / (-60) * (-1))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (+ n (* (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -519, \"c\": 4, \"d\": 13, \"e\": -60, \"f\": -1}", "seed": "13706008165593918995", "semantic_fingerprint": "sha256:b72133c03831bb97cdc7d08e81f883812f669f5c2391ccb8d14b758411875cb6", "generator_version": "3.0"}
{"id": "v3_val_00006236", "prompt": "Compute: -9 / ((-66 + (-6)) * 18)", "solution_steps": ["Add: -66 + (-6) = -72", "Multiply: -72 * 18 = -1296", "Divide: -9 / (-1296) = 1/144"], "final_answer": "1/144", "answer_type": "rational", "kind": "expression", "math_text": "-9 / ((-66 + (-6)) * 18)", "variable": null, "family": "expression_3op", "shape": "(/ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -66, \"c\": -6, \"d\": 18}", "seed": "13110051291042367521", "semantic_fingerprint": "sha256:df35b1b86e7847df51c354c113d057a68693ec607e0d2f94c43d83d8914bd713", "generator_version": "3.0"}
{"id": "v3_val_00006237", "prompt": "What is 54 + 15?", "solution_steps": ["Add: 54 + 15 = 69"], "final_answer": "69", "answer_type": "integer", "kind": "expression", "math_text": "54 + 15", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 15}", "seed": "71490449064056004", "semantic_fingerprint": "sha256:2e1c9a00213e848740aeee6a04edcf0ab761a3ffdfef274e996859dc4ebfde5d", "generator_version": "3.0"}
{"id": "v3_val_00006238", "prompt": "Evaluate: (74 - 76) / (-4 - (-993))", "solution_steps": ["Subtract: 74 - 76 = -2", "Subtract: -4 - (-993) = 989", "Divide: -2 / 989 = -2/989"], "final_answer": "-2/989", "answer_type": "rational", "kind": "expression", "math_text": "(74 - 76) / (-4 - (-993))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 76, \"c\": -4, \"d\": -993}", "seed": "15905827005730490451", "semantic_fingerprint": "sha256:4c736e7b7c71b12d7b806930c36a9dd7395008078273a73efe50d8cfab957d70", "generator_version": "3.0"}
{"id": "v3_val_00006239", "prompt": "Evaluate: 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": "1399818998015893217", "semantic_fingerprint": "sha256:67162dc0e6aad2417929acd1f55227b1e355f8f3633fab5984cd052992763b0d", "generator_version": "3.0"}
{"id": "v3_val_00006240", "prompt": "Solve the equation 3x + 152 = 11x for x.", "solution_steps": ["Subtract 11x from both sides: -8x + 152 = 0", "Subtract 152 from both sides: -8x = -152", "Divide both sides by -8: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 152 = 11x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 11, \"d\": 152, \"x\": 19}", "seed": "13574593734012801854", "semantic_fingerprint": "sha256:3ac36500fdde364c3d8f1874458737f7bc02da315dee8168fba42e5acfd59678", "generator_version": "3.0"}
{"id": "v3_val_00006241", "prompt": "Solve for x: x = 7(x + 52)", "solution_steps": ["Expand: x = 7x + 364", "Subtract 7x from both sides: -6x = 364", "Divide both sides by -6: x = -182/3"], "final_answer": "-182/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x + 52)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 52}", "seed": "11427299869968539653", "semantic_fingerprint": "sha256:a8e129a19c32aaa55d66e066f2cd82f5cd6f3bfe50747d6a9f44d6f340a08a30", "generator_version": "3.0"}
{"id": "v3_val_00006242", "prompt": "Find x: -11(x - 4) = x - 88", "solution_steps": ["Expand: -11x + 44 = x - 88", "Subtract x from both sides: -12x + 44 = -88", "Subtract 44 from both sides: -12x = -132", "Divide both sides by -12: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 4) = x - 88", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"d\": -88, \"x\": 11}", "seed": "8561854392247555372", "semantic_fingerprint": "sha256:000059fed145a88542a8ac073c98cf6d6e9dcdfddb3625a95ca3661987011d49", "generator_version": "3.0"}
{"id": "v3_val_00006243", "prompt": "Compute: -70 / (-6 + (-68) - (-14))", "solution_steps": ["Add: -6 + (-68) = -74", "Subtract: -74 - (-14) = -60", "Divide: -70 / (-60) = 7/6"], "final_answer": "7/6", "answer_type": "rational", "kind": "expression", "math_text": "-70 / (-6 + (-68) - (-14))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -6, \"c\": -68, \"d\": -14}", "seed": "16372955281831914872", "semantic_fingerprint": "sha256:7344c79d065749b4b0447b52f76c7d7e4f8b7a6e0369ca41f941d5c72ea7e106", "generator_version": "3.0"}
{"id": "v3_val_00006244", "prompt": "What value of x satisfies -9(x + 89) - 7 = 5x - 460?", "solution_steps": ["Expand: -9x - 801 - 7 = 5x - 460", "Combine constants: -9x - 808 = 5x - 460", "Subtract 5x from both sides: -14x - 808 = -460", "Add 808 to both sides: -14x = 348", "Divide both sides by -14: x = -174/7"], "final_answer": "-174/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 89) - 7 = 5x - 460", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 89, \"c\": 7, \"d\": 5, \"e\": 460}", "seed": "5012203972264933486", "semantic_fingerprint": "sha256:6780acd0949e7f77772f236c8692fa28ed2164e71d32421313a8260575dc2f3d", "generator_version": "3.0"}
{"id": "v3_val_00006245", "prompt": "What value of x satisfies 3(x - 372) + 80 = -4(x - 3) - 943?", "solution_steps": ["Expand: 3x - 1116 + 80 = -4(x - 3) - 943", "Expand: 3x - 1116 + 80 = -4x + 12 - 943", "Combine constants: 3x - 1036 = -4x + 12 - 943", "Combine constants: 3x - 1036 = -4x - 931", "Add 4x to both sides: 7x - 1036 = -931", "Add 1036 to both sides: 7x = 105", "Divide both sides by 7: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 372) + 80 = -4(x - 3) - 943", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 372, \"c\": 80, \"d\": -4, \"e\": 3, \"g\": -943, \"x\": 15}", "seed": "13142254589705902693", "semantic_fingerprint": "sha256:c5d52f01dba6bfeefbdb78d1893287d85bfce0d61017d9ea65c8d28d0a772934", "generator_version": "3.0"}
{"id": "v3_val_00006246", "prompt": "Evaluate: -37 * (-23 * (-7))", "solution_steps": ["Multiply: -23 * (-7) = 161", "Multiply: -37 * 161 = -5957"], "final_answer": "-5957", "answer_type": "integer", "kind": "expression", "math_text": "-37 * (-23 * (-7))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -23, \"c\": -7}", "seed": "4757147364273451305", "semantic_fingerprint": "sha256:acdae54da824f82bab98e28b7503082034764e048ffd9adc8c9702f98e4b75c1", "generator_version": "3.0"}
{"id": "v3_val_00006247", "prompt": "What is -6 - 40?", "solution_steps": ["Subtract: -6 - 40 = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "-6 - 40", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 40}", "seed": "13299773045036005329", "semantic_fingerprint": "sha256:07d31d8a9dd24e3ad50bed7b105f1ebf4c504d2054a6b36b3053ffbd499770ac", "generator_version": "3.0"}
{"id": "v3_val_00006248", "prompt": "Solve for x: 3(x + 34) + 470 = 7(x + 9) + 441", "solution_steps": ["Expand: 3x + 102 + 470 = 7(x + 9) + 441", "Expand: 3x + 102 + 470 = 7x + 63 + 441", "Combine constants: 3x + 572 = 7x + 63 + 441", "Combine constants: 3x + 572 = 7x + 504", "Subtract 7x from both sides: -4x + 572 = 504", "Subtract 572 from both sides: -4x = -68", "Divide both sides by -4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 34) + 470 = 7(x + 9) + 441", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 34, \"c\": 470, \"d\": 7, \"e\": 9, \"g\": 441, \"x\": 17}", "seed": "4199046056983626474", "semantic_fingerprint": "sha256:200895b90a7760cf941952c4cc490800290f261f27f886130c9a56f15ef7ede9", "generator_version": "3.0"}
{"id": "v3_val_00006249", "prompt": "What is 568 + 9 + (-34)?", "solution_steps": ["Add: 568 + 9 = 577", "Add: 577 + (-34) = 543"], "final_answer": "543", "answer_type": "integer", "kind": "expression", "math_text": "568 + 9 + (-34)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 568, \"b\": 9, \"c\": -34}", "seed": "1554587792249271650", "semantic_fingerprint": "sha256:05948e6ed1d1f697ef75e3c2c2b1c59e2ae5b7706e334e09cec1573b958a1a4d", "generator_version": "3.0"}
{"id": "v3_val_00006250", "prompt": "Compute: 96 - 5 + (-1)", "solution_steps": ["Subtract: 96 - 5 = 91", "Add: 91 + (-1) = 90"], "final_answer": "90", "answer_type": "integer", "kind": "expression", "math_text": "96 - 5 + (-1)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 5, \"c\": -1}", "seed": "7488605111908315482", "semantic_fingerprint": "sha256:088062f3c6e29baf89581df60eba0cc538bc0f622fae99886d8b7b07a9232f23", "generator_version": "3.0"}
{"id": "v3_val_00006251", "prompt": "Compute: (996 - (49 - 33)) * 340", "solution_steps": ["Subtract: 49 - 33 = 16", "Subtract: 996 - 16 = 980", "Multiply: 980 * 340 = 333200"], "final_answer": "333200", "answer_type": "integer", "kind": "expression", "math_text": "(996 - (49 - 33)) * 340", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 996, \"b\": 49, \"c\": 33, \"d\": 340}", "seed": "5289203449999652842", "semantic_fingerprint": "sha256:8c539bcee27aa72d8645be5005118342bda81e212231abcf3ecfb349f287fbc1", "generator_version": "3.0"}
{"id": "v3_val_00006252", "prompt": "Solve the equation -5(x + 52) = x - 212 for x.", "solution_steps": ["Expand: -5x - 260 = x - 212", "Subtract x from both sides: -6x - 260 = -212", "Add 260 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 + 52) = x - 212", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 52, \"d\": -212, \"x\": -8}", "seed": "16865918827604088575", "semantic_fingerprint": "sha256:c3438dc088c23b40c4acb61689afb5f4eaea0c88fb3764a0bacf6826124aba78", "generator_version": "3.0"}
{"id": "v3_val_00006253", "prompt": "Calculate: 6 / (-11 - 9)", "solution_steps": ["Subtract: -11 - 9 = -20", "Divide: 6 / (-20) = -3/10"], "final_answer": "-3/10", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-11 - 9)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -11, \"c\": 9}", "seed": "8285088476512980959", "semantic_fingerprint": "sha256:49df879d0fa7435da030462b268d23f6e4f66f72507c3be69b585175e54101c6", "generator_version": "3.0"}
{"id": "v3_val_00006254", "prompt": "Evaluate: (-4 + (-2)) * (184 - (-898)) + (-40) * 3", "solution_steps": ["Add: -4 + (-2) = -6", "Subtract: 184 - (-898) = 1082", "Multiply: -6 * 1082 = -6492", "Multiply: -40 * 3 = -120", "Add: -6492 + (-120) = -6612"], "final_answer": "-6612", "answer_type": "integer", "kind": "expression", "math_text": "(-4 + (-2)) * (184 - (-898)) + (-40) * 3", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -2, \"c\": 184, \"d\": -898, \"e\": -40, \"f\": 3}", "seed": "9106042582604803272", "semantic_fingerprint": "sha256:418946729fa8368c716664086972a3c96c49b391dba2c0594c979c4ee93792e3", "generator_version": "3.0"}
{"id": "v3_val_00006255", "prompt": "What is -757 - (0 - (-158)) / (381 - 49)?", "solution_steps": ["Subtract: 0 - (-158) = 158", "Subtract: 381 - 49 = 332", "Divide: 158 / 332 = 79/166", "Subtract: -757 - 79/166 = -125741/166"], "final_answer": "-125741/166", "answer_type": "rational", "kind": "expression", "math_text": "-757 - (0 - (-158)) / (381 - 49)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -757, \"b\": 0, \"c\": -158, \"d\": 381, \"e\": 49}", "seed": "5016220407145733541", "semantic_fingerprint": "sha256:7cc5d9b3d4c9016ffff6c170f6c8545886f3a08f5df8da2e31784529dba81447", "generator_version": "3.0"}
{"id": "v3_val_00006256", "prompt": "Compute: -69 - (-9) + 4 / (6 * (54 - (-1)))", "solution_steps": ["Subtract: -69 - (-9) = -60", "Subtract: 54 - (-1) = 55", "Multiply: 6 * 55 = 330", "Divide: 4 / 330 = 2/165", "Add: -60 + 2/165 = -9898/165"], "final_answer": "-9898/165", "answer_type": "rational", "kind": "expression", "math_text": "-69 - (-9) + 4 / (6 * (54 - (-1)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (/ n (* n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -9, \"c\": 4, \"d\": 6, \"e\": 54, \"f\": -1}", "seed": "2622746182324529598", "semantic_fingerprint": "sha256:64241f54babd4f9eac446641bde5b695fa82030be222b2443f9837cb3e4940e6", "generator_version": "3.0"}
{"id": "v3_val_00006257", "prompt": "Solve the equation 4x - 31 = -8(x + 13) - 47 for x.", "solution_steps": ["Expand: 4x - 31 = -8x - 104 - 47", "Combine constants: 4x - 31 = -8x - 151", "Add 8x to both sides: 12x - 31 = -151", "Add 31 to both sides: 12x = -120", "Divide both sides by 12: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 31 = -8(x + 13) - 47", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 31, \"c\": -8, \"d\": 13, \"f\": -47, \"x\": -10}", "seed": "10962038988804452664", "semantic_fingerprint": "sha256:02de259ddb14ec9cc7fa134b7e0b9213c423d07792ffc1574e9decdfcff0df10", "generator_version": "3.0"}
{"id": "v3_val_00006258", "prompt": "Solve for x: 3(x + 111) - 87 = 10(x - 3) + 35", "solution_steps": ["Expand: 3x + 333 - 87 = 10(x - 3) + 35", "Expand: 3x + 333 - 87 = 10x - 30 + 35", "Combine constants: 3x + 246 = 10x - 30 + 35", "Combine constants: 3x + 246 = 10x + 5", "Subtract 10x from both sides: -7x + 246 = 5", "Subtract 246 from both sides: -7x = -241", "Divide both sides by -7: x = 241/7"], "final_answer": "241/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 111) - 87 = 10(x - 3) + 35", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 111, \"c\": 87, \"d\": 10, \"e\": 3, \"f\": 35}", "seed": "11683043108356407057", "semantic_fingerprint": "sha256:bf3eed6606d091d3ab51aae92a3ad96ba4c4f8d5aec76dd4d7b609af14dddf46", "generator_version": "3.0"}
{"id": "v3_val_00006259", "prompt": "Calculate: -6 * ((-56 - (-70 - (-301))) / 66 - (-3))", "solution_steps": ["Subtract: -70 - (-301) = 231", "Subtract: -56 - 231 = -287", "Divide: -287 / 66 = -287/66", "Subtract: -287/66 - (-3) = -89/66", "Multiply: -6 * (-89/66) = 89/11"], "final_answer": "89/11", "answer_type": "rational", "kind": "expression", "math_text": "-6 * ((-56 - (-70 - (-301))) / 66 - (-3))", "variable": null, "family": "expression_5op", "shape": "(* n (- (/ (- n (- n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -56, \"c\": -70, \"d\": -301, \"e\": 66, \"f\": -3}", "seed": "15880818506063272815", "semantic_fingerprint": "sha256:c13bd495d23f043da65be5aaa6431dbee889b876298aa062203ddb67e51f55f7", "generator_version": "3.0"}
{"id": "v3_val_00006260", "prompt": "What is 0 * 18?", "solution_steps": ["Multiply: 0 * 18 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 18", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 18}", "seed": "14381328883288800938", "semantic_fingerprint": "sha256:c6a22a9350792c99357d0aca2828178936c57ad332bed34f09ea063f67f139fc", "generator_version": "3.0"}
{"id": "v3_val_00006261", "prompt": "Find x: 5(x - 75) + 450 = 10x", "solution_steps": ["Expand: 5x - 375 + 450 = 10x", "Combine constants: 5x + 75 = 10x", "Subtract 10x from both sides: -5x + 75 = 0", "Subtract 75 from both sides: -5x = -75", "Divide both sides by -5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 75) + 450 = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 75, \"c\": 10, \"e\": 450, \"x\": 15}", "seed": "8977257642123975464", "semantic_fingerprint": "sha256:58bbc6a88404b3b365642f29a7686a571063425742be446c3a5b7ae9ee637901", "generator_version": "3.0"}
{"id": "v3_val_00006262", "prompt": "Evaluate: (-6 - (-5 - (-978) / (-303)) - 76) / 51", "solution_steps": ["Divide: -978 / (-303) = 326/101", "Subtract: -5 - 326/101 = -831/101", "Subtract: -6 - (-831/101) = 225/101", "Subtract: 225/101 - 76 = -7451/101", "Divide: (-7451/101) / 51 = -7451/5151"], "final_answer": "-7451/5151", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - (-5 - (-978) / (-303)) - 76) / 51", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n (- n (/ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -5, \"c\": -978, \"d\": -303, \"e\": 76, \"f\": 51}", "seed": "17083870697618770362", "semantic_fingerprint": "sha256:a98870d77332b74c3f5eeeeb5e948f299f6d1ca2c4388a5887cffc9c6dbfa012", "generator_version": "3.0"}
{"id": "v3_val_00006263", "prompt": "Evaluate: (455 + (-20)) * (5 + (-226))", "solution_steps": ["Add: 455 + (-20) = 435", "Add: 5 + (-226) = -221", "Multiply: 435 * (-221) = -96135"], "final_answer": "-96135", "answer_type": "integer", "kind": "expression", "math_text": "(455 + (-20)) * (5 + (-226))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 455, \"b\": -20, \"c\": 5, \"d\": -226}", "seed": "480854613213393958", "semantic_fingerprint": "sha256:bfc1c91865f271eceec66be4b1c6ad25b05fd69f088f4cc2e9847c86f3c0f981", "generator_version": "3.0"}
{"id": "v3_val_00006264", "prompt": "Find x: -7(x + 93) + 3 = -6x - 658", "solution_steps": ["Expand: -7x - 651 + 3 = -6x - 658", "Combine constants: -7x - 648 = -6x - 658", "Add 6x to both sides: -x - 648 = -658", "Add 648 to both sides: -x = -10", "Divide both sides by -1: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 93) + 3 = -6x - 658", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 93, \"c\": 3, \"d\": -6, \"f\": -658, \"x\": 10}", "seed": "13913268651552773482", "semantic_fingerprint": "sha256:3dcef1ac564e7969580b6756ff5a006772034793b6f013a7a45fa2017eec163c", "generator_version": "3.0"}
{"id": "v3_val_00006265", "prompt": "Compute: (6 + (-68)) * (9 / (4 - (5 + 32)))", "solution_steps": ["Add: 6 + (-68) = -62", "Add: 5 + 32 = 37", "Subtract: 4 - 37 = -33", "Divide: 9 / (-33) = -3/11", "Multiply: -62 * (-3/11) = 186/11"], "final_answer": "186/11", "answer_type": "rational", "kind": "expression", "math_text": "(6 + (-68)) * (9 / (4 - (5 + 32)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ n (- n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -68, \"c\": 9, \"d\": 4, \"e\": 5, \"f\": 32}", "seed": "2401959011377653912", "semantic_fingerprint": "sha256:5fb04d1f9f3f6956ac0d42ca7f2045268d07133c657aadab5e9f983b444dcd4e", "generator_version": "3.0"}
{"id": "v3_val_00006266", "prompt": "Solve for x: -3(x + 1) = 6x - 52", "solution_steps": ["Expand: -3x - 3 = 6x - 52", "Subtract 6x from both sides: -9x - 3 = -52", "Add 3 to both sides: -9x = -49", "Divide both sides by -9: x = 49/9"], "final_answer": "49/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 1) = 6x - 52", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": 6, \"d\": 52}", "seed": "7833557586773545265", "semantic_fingerprint": "sha256:0acf8abeec1c1e798320f21f5418969192ff7471f3b33aa79de111ef780b955a", "generator_version": "3.0"}
{"id": "v3_val_00006267", "prompt": "What is 95 + (460 + (-8 + (8 + 46)))?", "solution_steps": ["Add: 8 + 46 = 54", "Add: -8 + 54 = 46", "Add: 460 + 46 = 506", "Add: 95 + 506 = 601"], "final_answer": "601", "answer_type": "integer", "kind": "expression", "math_text": "95 + (460 + (-8 + (8 + 46)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 460, \"c\": -8, \"d\": 8, \"e\": 46}", "seed": "13251467457534250560", "semantic_fingerprint": "sha256:7a5908859233a9e365ffeefd17a00c614310d949e7273b30c4199c264a02cc5f", "generator_version": "3.0"}
{"id": "v3_val_00006268", "prompt": "Calculate: 7 - (-710 - (-99)) / (89 + 0)", "solution_steps": ["Subtract: -710 - (-99) = -611", "Add: 89 + 0 = 89", "Divide: -611 / 89 = -611/89", "Subtract: 7 - (-611/89) = 1234/89"], "final_answer": "1234/89", "answer_type": "rational", "kind": "expression", "math_text": "7 - (-710 - (-99)) / (89 + 0)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -710, \"c\": -99, \"d\": 89, \"e\": 0}", "seed": "5709997746000365404", "semantic_fingerprint": "sha256:d10e6bf2aa9034eac8950d7a9eef383b18d7133d782f4009ffed8a595c77a4bf", "generator_version": "3.0"}
{"id": "v3_val_00006269", "prompt": "Compute: 27 - 33", "solution_steps": ["Subtract: 27 - 33 = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "27 - 33", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 33}", "seed": "1350555600242608712", "semantic_fingerprint": "sha256:5d63b999df3433dffa31132d83d990678407a889c2c949f45ffc90f2013ee83a", "generator_version": "3.0"}
{"id": "v3_val_00006270", "prompt": "Calculate: 1 * 4 / (-19) * 1", "solution_steps": ["Multiply: 1 * 4 = 4", "Divide: 4 / (-19) = -4/19", "Multiply: (-4/19) * 1 = -4/19"], "final_answer": "-4/19", "answer_type": "rational", "kind": "expression", "math_text": "1 * 4 / (-19) * 1", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 4, \"c\": -19, \"d\": 1}", "seed": "9153826915691826851", "semantic_fingerprint": "sha256:052b80a7024de4758ccbb2df77a3d5c0fba70da305bc230c57abb54b95daa694", "generator_version": "3.0"}
{"id": "v3_val_00006271", "prompt": "What is (-3 + (-69) - 76) * 49?", "solution_steps": ["Add: -3 + (-69) = -72", "Subtract: -72 - 76 = -148", "Multiply: -148 * 49 = -7252"], "final_answer": "-7252", "answer_type": "integer", "kind": "expression", "math_text": "(-3 + (-69) - 76) * 49", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -69, \"c\": 76, \"d\": 49}", "seed": "11075907279885123935", "semantic_fingerprint": "sha256:44758b26ff7d1c87fd3d808599440b49a94f78e0cbde52aa8f33dbccac5a5846", "generator_version": "3.0"}
{"id": "v3_val_00006272", "prompt": "Compute: 925 - (-93 - 0) + (-357)", "solution_steps": ["Subtract: -93 - 0 = -93", "Subtract: 925 - (-93) = 1018", "Add: 1018 + (-357) = 661"], "final_answer": "661", "answer_type": "integer", "kind": "expression", "math_text": "925 - (-93 - 0) + (-357)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 925, \"b\": -93, \"c\": 0, \"d\": -357}", "seed": "14140100946781067731", "semantic_fingerprint": "sha256:045ddd37ca9cc3ca3222b5735a6e2b65aa8c38f9997f5d2a0d9419218c75b403", "generator_version": "3.0"}
{"id": "v3_val_00006273", "prompt": "Calculate: 4 + 449 * (-278 - (-44))", "solution_steps": ["Subtract: -278 - (-44) = -234", "Multiply: 449 * (-234) = -105066", "Add: 4 + (-105066) = -105062"], "final_answer": "-105062", "answer_type": "integer", "kind": "expression", "math_text": "4 + 449 * (-278 - (-44))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 449, \"c\": -278, \"d\": -44}", "seed": "17669272744904009889", "semantic_fingerprint": "sha256:09676121acc3ee303bd57b9bacfaf8884b944393d045c4572dc053115c3b63c9", "generator_version": "3.0"}
{"id": "v3_val_00006274", "prompt": "Evaluate: 9 * 391 * (76 - (-31))", "solution_steps": ["Multiply: 9 * 391 = 3519", "Subtract: 76 - (-31) = 107", "Multiply: 3519 * 107 = 376533"], "final_answer": "376533", "answer_type": "integer", "kind": "expression", "math_text": "9 * 391 * (76 - (-31))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 391, \"c\": 76, \"d\": -31}", "seed": "6102832052964432891", "semantic_fingerprint": "sha256:6f5e08272ca465918e475b190cbdf3ff08210ae0f4d1a4903295e2c619b443e2", "generator_version": "3.0"}
{"id": "v3_val_00006275", "prompt": "Calculate: -81 / (-45 * 89) / (-33)", "solution_steps": ["Multiply: -45 * 89 = -4005", "Divide: -81 / (-4005) = 9/445", "Divide: (9/445) / (-33) = -3/4895"], "final_answer": "-3/4895", "answer_type": "rational", "kind": "expression", "math_text": "-81 / (-45 * 89) / (-33)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -45, \"c\": 89, \"d\": -33}", "seed": "5064689268585110845", "semantic_fingerprint": "sha256:13f59bab8f56219283ae284a187497c24e43f586950dfaefca4d4c364a4ac3a9", "generator_version": "3.0"}
{"id": "v3_val_00006276", "prompt": "What value of x satisfies x = -8x - 4?", "solution_steps": ["Add 8x to both sides: 9x = -4", "Divide both sides by 9: x = -4/9"], "final_answer": "-4/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -8x - 4", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4}", "seed": "8239516034247854140", "semantic_fingerprint": "sha256:dd6599b82924265482ebb421a0af2d63d16736d02baf389ba831a4b64373cd45", "generator_version": "3.0"}
{"id": "v3_val_00006277", "prompt": "Compute: 123 - (48 - 532)", "solution_steps": ["Subtract: 48 - 532 = -484", "Subtract: 123 - (-484) = 607"], "final_answer": "607", "answer_type": "integer", "kind": "expression", "math_text": "123 - (48 - 532)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 123, \"b\": 48, \"c\": 532}", "seed": "6853672832671338230", "semantic_fingerprint": "sha256:be7049504f44c307dc1a4ce353a657f5bb56e405f8090b1070560633ffe970a2", "generator_version": "3.0"}
{"id": "v3_val_00006278", "prompt": "Calculate: -4 / (-47) * (-520)", "solution_steps": ["Divide: -4 / (-47) = 4/47", "Multiply: (4/47) * (-520) = -2080/47"], "final_answer": "-2080/47", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-47) * (-520)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -47, \"c\": -520}", "seed": "15053947485255192256", "semantic_fingerprint": "sha256:ef4874d9903a1843aaeec0b948856c4bd2d269020bbba8ec53d94eab7938eaa2", "generator_version": "3.0"}
{"id": "v3_val_00006279", "prompt": "Evaluate: 7 * 4 + (-4)", "solution_steps": ["Multiply: 7 * 4 = 28", "Add: 28 + (-4) = 24"], "final_answer": "24", "answer_type": "integer", "kind": "expression", "math_text": "7 * 4 + (-4)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": -4}", "seed": "739472321376480546", "semantic_fingerprint": "sha256:fd30b62d7f666b1310ec10707e930bee21741833283539d0ee7556a96419512b", "generator_version": "3.0"}
{"id": "v3_val_00006280", "prompt": "Solve the equation -3(x + 3) + 82 = -6(x + 56) + 355 for x.", "solution_steps": ["Expand: -3x - 9 + 82 = -6(x + 56) + 355", "Expand: -3x - 9 + 82 = -6x - 336 + 355", "Combine constants: -3x + 73 = -6x - 336 + 355", "Combine constants: -3x + 73 = -6x + 19", "Add 6x to both sides: 3x + 73 = 19", "Subtract 73 from both sides: 3x = -54", "Divide both sides by 3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 3) + 82 = -6(x + 56) + 355", "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\": 82, \"d\": -6, \"e\": 56, \"g\": 355, \"x\": -18}", "seed": "2860574584139625648", "semantic_fingerprint": "sha256:b880ec76718cc2390a8a882e0002cb8dddc5c6ae492e3d6fb020398f6e76e201", "generator_version": "3.0"}
{"id": "v3_val_00006281", "prompt": "What value of x satisfies x = 7x + 5?", "solution_steps": ["Subtract 7x from both sides: -6x = 5", "Divide both sides by -6: x = -5/6"], "final_answer": "-5/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7x + 5", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5}", "seed": "9046309738877620196", "semantic_fingerprint": "sha256:2900911b2c4e15fa59f7959c8cc3130554879493c18a48b110a5faf9cd45d020", "generator_version": "3.0"}
{"id": "v3_val_00006282", "prompt": "Calculate: -81 * (-33)", "solution_steps": ["Multiply: -81 * (-33) = 2673"], "final_answer": "2673", "answer_type": "integer", "kind": "expression", "math_text": "-81 * (-33)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -33}", "seed": "11394044881951129849", "semantic_fingerprint": "sha256:c4a8a3714e94a6fe15dc44ef3334291c2d09f4fbaae9019dff39667670318877", "generator_version": "3.0"}
{"id": "v3_val_00006283", "prompt": "What is 55 * (61 + (-2))?", "solution_steps": ["Add: 61 + (-2) = 59", "Multiply: 55 * 59 = 3245"], "final_answer": "3245", "answer_type": "integer", "kind": "expression", "math_text": "55 * (61 + (-2))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 61, \"c\": -2}", "seed": "319143139314531900", "semantic_fingerprint": "sha256:2c2d4366e7a09ec272d32cf3f11ab39488c386bfa165157fe138d961017c5a71", "generator_version": "3.0"}
{"id": "v3_val_00006284", "prompt": "Compute: -543 - 15 + (29 - (51 + (-7)))", "solution_steps": ["Subtract: -543 - 15 = -558", "Add: 51 + (-7) = 44", "Subtract: 29 - 44 = -15", "Add: -558 + (-15) = -573"], "final_answer": "-573", "answer_type": "integer", "kind": "expression", "math_text": "-543 - 15 + (29 - (51 + (-7)))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -543, \"b\": 15, \"c\": 29, \"d\": 51, \"e\": -7}", "seed": "6732235745467745419", "semantic_fingerprint": "sha256:6e34d71abea36299442e1a3a8500b84ad6887424c8e228ae26df67da0cf12361", "generator_version": "3.0"}
{"id": "v3_val_00006285", "prompt": "Calculate: 3 + (-8 + 25) - 11 * (871 / (-62))", "solution_steps": ["Add: -8 + 25 = 17", "Add: 3 + 17 = 20", "Divide: 871 / (-62) = -871/62", "Multiply: 11 * (-871/62) = -9581/62", "Subtract: 20 - (-9581/62) = 10821/62"], "final_answer": "10821/62", "answer_type": "rational", "kind": "expression", "math_text": "3 + (-8 + 25) - 11 * (871 / (-62))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ n n)) (* n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8, \"c\": 25, \"d\": 11, \"e\": 871, \"f\": -62}", "seed": "12214111481099017861", "semantic_fingerprint": "sha256:3f94ae3052c46fa8707eb7a193262f13640b21219712cc4c03fae6c634e93752", "generator_version": "3.0"}
{"id": "v3_val_00006286", "prompt": "Find x: 5(x - 62) + 390 = -11x", "solution_steps": ["Expand: 5x - 310 + 390 = -11x", "Combine constants: 5x + 80 = -11x", "Add 11x to both sides: 16x + 80 = 0", "Subtract 80 from both sides: 16x = -80", "Divide both sides by 16: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 62) + 390 = -11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 62, \"c\": -11, \"e\": 390, \"x\": -5}", "seed": "16964040237430377240", "semantic_fingerprint": "sha256:cc8915517b568b4543699de9b07943e80a55873a67bf217e09cf25e5be03cc96", "generator_version": "3.0"}
{"id": "v3_val_00006287", "prompt": "Calculate: 525 + (-300 - (-24))", "solution_steps": ["Subtract: -300 - (-24) = -276", "Add: 525 + (-276) = 249"], "final_answer": "249", "answer_type": "integer", "kind": "expression", "math_text": "525 + (-300 - (-24))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 525, \"b\": -300, \"c\": -24}", "seed": "9763569013484275490", "semantic_fingerprint": "sha256:215e813fbb267a5d4cf698683c2a41580626006e0eb6e6bdbcf91d6dd010fcd0", "generator_version": "3.0"}
{"id": "v3_val_00006288", "prompt": "Solve the equation 6x - 6 = 5x for x.", "solution_steps": ["Subtract 5x from both sides: x - 6 = 0", "Add 6 to both sides: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 6 = 5x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 5}", "seed": "7156426968039749301", "semantic_fingerprint": "sha256:ce56665c5c6b39794a8b11174b23e1078c5f9b25a55cbca20eee85cb3a5f7259", "generator_version": "3.0"}
{"id": "v3_val_00006289", "prompt": "Calculate: -8 * (-81) / (-55) * 40", "solution_steps": ["Multiply: -8 * (-81) = 648", "Divide: 648 / (-55) = -648/55", "Multiply: (-648/55) * 40 = -5184/11"], "final_answer": "-5184/11", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (-81) / (-55) * 40", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -81, \"c\": -55, \"d\": 40}", "seed": "14700286174106063335", "semantic_fingerprint": "sha256:5e771638f1fe0f38d92edc574ab3ad944b6e8e9e16ff9ecce684bc14ea330eb7", "generator_version": "3.0"}
{"id": "v3_val_00006290", "prompt": "Compute: 65 * (-596 / (-11)) * (6 / (-928))", "solution_steps": ["Divide: -596 / (-11) = 596/11", "Multiply: 65 * (596/11) = 38740/11", "Divide: 6 / (-928) = -3/464", "Multiply: (38740/11) * (-3/464) = -29055/1276"], "final_answer": "-29055/1276", "answer_type": "rational", "kind": "expression", "math_text": "65 * (-596 / (-11)) * (6 / (-928))", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -596, \"c\": -11, \"d\": 6, \"e\": -928}", "seed": "10758950066889435751", "semantic_fingerprint": "sha256:ff25a49d7a9ef05f9aaffc373b3c0fd5c4aa39fa6b59020f6f58d1f2facb272b", "generator_version": "3.0"}
{"id": "v3_val_00006291", "prompt": "What value of x satisfies 4x + 1 = -35?", "solution_steps": ["Subtract 1 from both sides: 4x = -36", "Divide both sides by 4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 1 = -35", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"d\": -35, \"x\": -9}", "seed": "18435637748652705457", "semantic_fingerprint": "sha256:0bdb7a8d41a9bd014c16b2c753e4bb045df73df087ef0188d60d4863cdcf4c85", "generator_version": "3.0"}
{"id": "v3_val_00006292", "prompt": "Evaluate: 86 * (-7)", "solution_steps": ["Multiply: 86 * (-7) = -602"], "final_answer": "-602", "answer_type": "integer", "kind": "expression", "math_text": "86 * (-7)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -7}", "seed": "17314678275091468808", "semantic_fingerprint": "sha256:e5f20b7e69cfa14ec20d01c59317a5302a3c11b35ca34e8cf965c8284a6ebe12", "generator_version": "3.0"}
{"id": "v3_val_00006293", "prompt": "Evaluate: (-47 - 2) / (-832)", "solution_steps": ["Subtract: -47 - 2 = -49", "Divide: -49 / (-832) = 49/832"], "final_answer": "49/832", "answer_type": "rational", "kind": "expression", "math_text": "(-47 - 2) / (-832)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 2, \"c\": -832}", "seed": "13018240779137473611", "semantic_fingerprint": "sha256:7f9714f0305315fc36d9771a3c8ad08adca1b15294c3a674e2589297c3b2aee6", "generator_version": "3.0"}
{"id": "v3_val_00006294", "prompt": "What value of x satisfies 9(x - 30) = x - 302?", "solution_steps": ["Expand: 9x - 270 = x - 302", "Subtract x from both sides: 8x - 270 = -302", "Add 270 to both sides: 8x = -32", "Divide both sides by 8: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 30) = x - 302", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 30, \"d\": -302, \"x\": -4}", "seed": "2925167021059524453", "semantic_fingerprint": "sha256:fcf361489f2c4830a6ed0328eb90602159f4503ebdeb028450dabd94b8b21cb9", "generator_version": "3.0"}
{"id": "v3_val_00006295", "prompt": "Calculate: -3 - 70", "solution_steps": ["Subtract: -3 - 70 = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "expression", "math_text": "-3 - 70", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 70}", "seed": "10521864723642244457", "semantic_fingerprint": "sha256:2070a41ba380695bc0f8313e2eb91d4d54aabd2e4dedbba707d7d6f0df574329", "generator_version": "3.0"}
{"id": "v3_val_00006296", "prompt": "What is 105 * (763 - (-6)) / (-7)?", "solution_steps": ["Subtract: 763 - (-6) = 769", "Multiply: 105 * 769 = 80745", "Divide: 80745 / (-7) = -11535"], "final_answer": "-11535", "answer_type": "integer", "kind": "expression", "math_text": "105 * (763 - (-6)) / (-7)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 105, \"b\": 763, \"c\": -6, \"d\": -7}", "seed": "8938294628481311695", "semantic_fingerprint": "sha256:1ffdf15433f3c11ae995cba303b5c8bfc27c7c5ba0e1cd60741ab614f167cf78", "generator_version": "3.0"}
{"id": "v3_val_00006297", "prompt": "What is -8 * 142 - 9 * (-9 - 3)?", "solution_steps": ["Multiply: -8 * 142 = -1136", "Subtract: -9 - 3 = -12", "Multiply: 9 * (-12) = -108", "Subtract: -1136 - (-108) = -1028"], "final_answer": "-1028", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 142 - 9 * (-9 - 3)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 142, \"c\": 9, \"d\": -9, \"e\": 3}", "seed": "13370017587400796673", "semantic_fingerprint": "sha256:78df0f0209701300740b66df5e129d3d0195b08f6daa16820517ba61addb6474", "generator_version": "3.0"}
{"id": "v3_val_00006298", "prompt": "Solve for x: -12(x + 621) = 6x", "solution_steps": ["Expand: -12x - 7452 = 6x", "Subtract 6x from both sides: -18x - 7452 = 0", "Add 7452 to both sides: -18x = 7452", "Divide both sides by -18: x = -414"], "final_answer": "-414", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 621) = 6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 621, \"c\": 6}", "seed": "9575470651899486371", "semantic_fingerprint": "sha256:adf368a19d9b4c8d3ef63ad1c233dcd65c3b0da11a426d366251c7c133154d32", "generator_version": "3.0"}
{"id": "v3_val_00006299", "prompt": "Compute: (9 + (-85)) / (-486) + (75 + 0)", "solution_steps": ["Add: 9 + (-85) = -76", "Divide: -76 / (-486) = 38/243", "Add: 75 + 0 = 75", "Add: 38/243 + 75 = 18263/243"], "final_answer": "18263/243", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-85)) / (-486) + (75 + 0)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -85, \"c\": -486, \"d\": 75, \"e\": 0}", "seed": "14517777959690665394", "semantic_fingerprint": "sha256:1dd86eddeb2cb9415e24e4de4def2a23d6dca166ac463b9bf06ab7c632625c54", "generator_version": "3.0"}
{"id": "v3_val_00006300", "prompt": "What is -903 + (-97 - 37)?", "solution_steps": ["Subtract: -97 - 37 = -134", "Add: -903 + (-134) = -1037"], "final_answer": "-1037", "answer_type": "integer", "kind": "expression", "math_text": "-903 + (-97 - 37)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -903, \"b\": -97, \"c\": 37}", "seed": "12928326546991259826", "semantic_fingerprint": "sha256:b0f36196b27c3569a4ff6e7d8ac14fe142f3baff578e29cee238f6ce2ee98f89", "generator_version": "3.0"}
{"id": "v3_val_00006301", "prompt": "Find x: x - 4 = 9", "solution_steps": ["Add 4 to both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = 9", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": 9, \"x\": 13}", "seed": "18187710006738242128", "semantic_fingerprint": "sha256:d52561f8e3379d409aca662a0de657c6d2480a2b2e1c37107dd3546607c401d9", "generator_version": "3.0"}
{"id": "v3_val_00006302", "prompt": "Evaluate: -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": "6174579506509922755", "semantic_fingerprint": "sha256:674fa4b1d3ced0deadd8e86affb768deed89a3338e68776055b5b4e6e9e46f35", "generator_version": "3.0"}
{"id": "v3_val_00006303", "prompt": "What value of x satisfies -5(x + 2) - 296 = 12x?", "solution_steps": ["Expand: -5x - 10 - 296 = 12x", "Combine constants: -5x - 306 = 12x", "Subtract 12x from both sides: -17x - 306 = 0", "Add 306 to both sides: -17x = 306", "Divide both sides by -17: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 2) - 296 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 12, \"e\": -296, \"x\": -18}", "seed": "18296132924160773655", "semantic_fingerprint": "sha256:d5ab6ec558ed20f2350d349f36a729dac75c49e5381b22ee17391d518268c585", "generator_version": "3.0"}
{"id": "v3_val_00006304", "prompt": "What value of x satisfies x - 1 = 9x + 119?", "solution_steps": ["Subtract 9x from both sides: -8x - 1 = 119", "Add 1 to both sides: -8x = 120", "Divide both sides by -8: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 9x + 119", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 9, \"d\": 119, \"x\": -15}", "seed": "3354320999414891651", "semantic_fingerprint": "sha256:e567cc866ffb3265cde563f1212aad5859211f053665bc16a03c4f6506b2e5c1", "generator_version": "3.0"}
{"id": "v3_val_00006305", "prompt": "Solve for x: -7(x + 2) - 5 = -11(x - 3)", "solution_steps": ["Expand: -7x - 14 - 5 = -11(x - 3)", "Expand: -7x - 14 - 5 = -11x + 33", "Combine constants: -7x - 19 = -11x + 33", "Add 11x to both sides: 4x - 19 = 33", "Add 19 to both sides: 4x = 52", "Divide both sides by 4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 2) - 5 = -11(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\": 2, \"c\": -11, \"d\": 3, \"f\": -5, \"x\": 13}", "seed": "12822124446213254253", "semantic_fingerprint": "sha256:6a18c42ff705834aa5601b29fece09f0bf74e6a4429fa6a7d7ad4665c2d95c4c", "generator_version": "3.0"}
{"id": "v3_val_00006306", "prompt": "Evaluate: 120 * 666", "solution_steps": ["Multiply: 120 * 666 = 79920"], "final_answer": "79920", "answer_type": "integer", "kind": "expression", "math_text": "120 * 666", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 120, \"b\": 666}", "seed": "15608253914051025376", "semantic_fingerprint": "sha256:b37ddce60dc02ad1996242fa4716152aabd50dfeb94a54c71fc295a2591c688d", "generator_version": "3.0"}
{"id": "v3_val_00006307", "prompt": "Evaluate: -4 * (-13) + (-20)", "solution_steps": ["Multiply: -4 * (-13) = 52", "Add: 52 + (-20) = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-13) + (-20)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -13, \"c\": -20}", "seed": "10671569176372802708", "semantic_fingerprint": "sha256:4785b770715850c998e4121685c7cfb443d7627b8e1727d5fdff4ee7a9ebd109", "generator_version": "3.0"}
{"id": "v3_val_00006308", "prompt": "Find x: x - 359 = 3(x - 107)", "solution_steps": ["Expand: x - 359 = 3x - 321", "Subtract 3x from both sides: -2x - 359 = -321", "Add 359 to both sides: -2x = 38", "Divide both sides by -2: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 359 = 3(x - 107)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 107, \"d\": -359, \"x\": -19}", "seed": "18218787989633331269", "semantic_fingerprint": "sha256:28f2b8748830de3923f23ef5379afb557f823c825e95f100339aef2a78532b8d", "generator_version": "3.0"}
{"id": "v3_val_00006309", "prompt": "Solve the equation -2(x + 52) + 61 = x - 3 for x.", "solution_steps": ["Expand: -2x - 104 + 61 = x - 3", "Combine constants: -2x - 43 = x - 3", "Subtract x from both sides: -3x - 43 = -3", "Add 43 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": "-2(x + 52) + 61 = x - 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 52, \"c\": 61, \"d\": 3}", "seed": "10349755689853355497", "semantic_fingerprint": "sha256:39a57941d7b176a4fccf4c5663267140d9aa0b212ae072be696b55551d0ee918", "generator_version": "3.0"}
{"id": "v3_val_00006310", "prompt": "Find x: x - 104 = 6(x - 9)", "solution_steps": ["Expand: x - 104 = 6x - 54", "Subtract 6x from both sides: -5x - 104 = -54", "Add 104 to both sides: -5x = 50", "Divide both sides by -5: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 104 = 6(x - 9)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"d\": -104, \"x\": -10}", "seed": "9383693981920262731", "semantic_fingerprint": "sha256:3d3c2085ce3df779c1fea1ba81a4fb1e6b5567301a734f3b0748d9ffc8095b64", "generator_version": "3.0"}
{"id": "v3_val_00006311", "prompt": "What is -4 / (44 + 7)?", "solution_steps": ["Add: 44 + 7 = 51", "Divide: -4 / 51 = -4/51"], "final_answer": "-4/51", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (44 + 7)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 44, \"c\": 7}", "seed": "9955999233297394625", "semantic_fingerprint": "sha256:bdc9836cdf3a31a05b4d321409c1b093290e2c7b3494fc9f0308ec36b00ba4cb", "generator_version": "3.0"}
{"id": "v3_val_00006312", "prompt": "Evaluate: -6 * (-19 * (-7) - (-68)) / 8", "solution_steps": ["Multiply: -19 * (-7) = 133", "Subtract: 133 - (-68) = 201", "Multiply: -6 * 201 = -1206", "Divide: -1206 / 8 = -603/4"], "final_answer": "-603/4", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-19 * (-7) - (-68)) / 8", "variable": null, "family": "expression_4op", "shape": "(/ (* n (- (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -19, \"c\": -7, \"d\": -68, \"e\": 8}", "seed": "924182810534414143", "semantic_fingerprint": "sha256:7b77d9fa7b8d63d269e62d623ced643bc1abcac079d8f577a33cf66c216d28f0", "generator_version": "3.0"}
{"id": "v3_val_00006313", "prompt": "What value of x satisfies 5x + 81 = 10x + 36?", "solution_steps": ["Subtract 10x from both sides: -5x + 81 = 36", "Subtract 81 from both sides: -5x = -45", "Divide both sides by -5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 81 = 10x + 36", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 81, \"c\": 10, \"e\": 36, \"x\": 9}", "seed": "11049745309500453853", "semantic_fingerprint": "sha256:4e58b5f3eff56988de79512dd2f6862925de17ed55409a0ca99c1596dc1f128b", "generator_version": "3.0"}
{"id": "v3_val_00006314", "prompt": "What is -4 / (-2)?", "solution_steps": ["Divide: -4 / (-2) = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "-4 / (-2)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -2}", "seed": "12601919548445943148", "semantic_fingerprint": "sha256:57fdce00efd82ac1fc0d77c83b242ed411b46fbbf6564cdceb0fa1e54a6bb150", "generator_version": "3.0"}
{"id": "v3_val_00006315", "prompt": "Solve for x: 2(x - 64) + 13 = 9x - 248", "solution_steps": ["Expand: 2x - 128 + 13 = 9x - 248", "Combine constants: 2x - 115 = 9x - 248", "Subtract 9x from both sides: -7x - 115 = -248", "Add 115 to both sides: -7x = -133", "Divide both sides by -7: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 64) + 13 = 9x - 248", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 64, \"c\": 13, \"d\": 9, \"f\": -248, \"x\": 19}", "seed": "16232153331504598276", "semantic_fingerprint": "sha256:24412ec8c50e9748b1a5742faa6bd9299a04ef237a0614d16f449991da851de2", "generator_version": "3.0"}
{"id": "v3_val_00006316", "prompt": "Calculate: -602 / (773 + (-74))", "solution_steps": ["Add: 773 + (-74) = 699", "Divide: -602 / 699 = -602/699"], "final_answer": "-602/699", "answer_type": "rational", "kind": "expression", "math_text": "-602 / (773 + (-74))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -602, \"b\": 773, \"c\": -74}", "seed": "17457510482455810267", "semantic_fingerprint": "sha256:abb9ee4f7c48ed5d5a369a825930443dd354b791412a1be95bacd528fdca1f93", "generator_version": "3.0"}
{"id": "v3_val_00006317", "prompt": "Compute: -673 / (8 / 9)", "solution_steps": ["Divide: 8 / 9 = 8/9", "Divide: -673 / (8/9) = -6057/8"], "final_answer": "-6057/8", "answer_type": "rational", "kind": "expression", "math_text": "-673 / (8 / 9)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -673, \"b\": 8, \"c\": 9}", "seed": "8671756099014112619", "semantic_fingerprint": "sha256:5ada34aa54112dffee5231644dceb522411c9839d37107aeb1b91e618503d54b", "generator_version": "3.0"}
{"id": "v3_val_00006318", "prompt": "What is (13 - (-60)) * (-698)?", "solution_steps": ["Subtract: 13 - (-60) = 73", "Multiply: 73 * (-698) = -50954"], "final_answer": "-50954", "answer_type": "integer", "kind": "expression", "math_text": "(13 - (-60)) * (-698)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -60, \"c\": -698}", "seed": "1360265070052665782", "semantic_fingerprint": "sha256:0149653a8c429f7e4b503d23cfe905c828d14f03b45de032e3e2544c214c2b79", "generator_version": "3.0"}
{"id": "v3_val_00006319", "prompt": "Solve for x: -8(x + 396) = -5(x - 1)", "solution_steps": ["Expand: -8x - 3168 = -5(x - 1)", "Expand: -8x - 3168 = -5x + 5", "Add 5x to both sides: -3x - 3168 = 5", "Add 3168 to both sides: -3x = 3173", "Divide both sides by -3: x = -3173/3"], "final_answer": "-3173/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 396) = -5(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 396, \"c\": -5, \"d\": 1}", "seed": "1665260950964950513", "semantic_fingerprint": "sha256:c81fe601f55287769ccdc224c1e90efff49ac759d7a5120e6ad735a81d15da3d", "generator_version": "3.0"}
{"id": "v3_val_00006320", "prompt": "Solve for x: 9(x + 33) = 4(x + 20) + 127", "solution_steps": ["Expand: 9x + 297 = 4(x + 20) + 127", "Expand: 9x + 297 = 4x + 80 + 127", "Combine constants: 9x + 297 = 4x + 207", "Subtract 4x from both sides: 5x + 297 = 207", "Subtract 297 from both sides: 5x = -90", "Divide both sides by 5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 33) = 4(x + 20) + 127", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 33, \"c\": 4, \"d\": 20, \"f\": 127, \"x\": -18}", "seed": "12592211673574621916", "semantic_fingerprint": "sha256:d581f6a55f03341a662edc4b2cc9cb1f8a4f4d370ee6934fd926948082ff9aa0", "generator_version": "3.0"}
{"id": "v3_val_00006321", "prompt": "Calculate: 287 / 94 - (-793)", "solution_steps": ["Divide: 287 / 94 = 287/94", "Subtract: 287/94 - (-793) = 74829/94"], "final_answer": "74829/94", "answer_type": "rational", "kind": "expression", "math_text": "287 / 94 - (-793)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 287, \"b\": 94, \"c\": -793}", "seed": "7752656321618337289", "semantic_fingerprint": "sha256:ee13e09030209318ee5b23d594e315a750790f46ff8fb1daca469b1e3e623807", "generator_version": "3.0"}
{"id": "v3_val_00006322", "prompt": "Calculate: 950 - (-368) * (-4)", "solution_steps": ["Multiply: -368 * (-4) = 1472", "Subtract: 950 - 1472 = -522"], "final_answer": "-522", "answer_type": "integer", "kind": "expression", "math_text": "950 - (-368) * (-4)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 950, \"b\": -368, \"c\": -4}", "seed": "16426685312627644511", "semantic_fingerprint": "sha256:d1f7bc012600f5f4a655518f000b2d404bb1b4c007ace4751966661da38e33e9", "generator_version": "3.0"}
{"id": "v3_val_00006323", "prompt": "Solve for x: 8(x - 7) + 8 = x - 6", "solution_steps": ["Expand: 8x - 56 + 8 = x - 6", "Combine constants: 8x - 48 = x - 6", "Subtract x from both sides: 7x - 48 = -6", "Add 48 to both sides: 7x = 42", "Divide both sides by 7: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 7) + 8 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 8, \"d\": 6}", "seed": "17022289766784962570", "semantic_fingerprint": "sha256:5d4785e12ee9b926f4184ca8f89d69fb80b34db441a4c69d460c0ff069ef1a79", "generator_version": "3.0"}
{"id": "v3_val_00006324", "prompt": "Calculate: -2 * (-22) / (6 - 37)", "solution_steps": ["Multiply: -2 * (-22) = 44", "Subtract: 6 - 37 = -31", "Divide: 44 / (-31) = -44/31"], "final_answer": "-44/31", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (-22) / (6 - 37)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -22, \"c\": 6, \"d\": 37}", "seed": "15485489472614900284", "semantic_fingerprint": "sha256:ee94cd41b636b6fd811e012055ce67789ab045bd15bb9ab4fed9940d20d9ad4e", "generator_version": "3.0"}
{"id": "v3_val_00006325", "prompt": "Solve the equation 2x - 103 = x - 96 for x.", "solution_steps": ["Subtract x from both sides: x - 103 = -96", "Add 103 to both sides: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 103 = x - 96", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 103, \"d\": -96, \"x\": 7}", "seed": "12429431656150863720", "semantic_fingerprint": "sha256:ad9130ebad0f778e2f6612a1630d02c65b93df096710206c4d63ccf0e7f56b40", "generator_version": "3.0"}
{"id": "v3_val_00006326", "prompt": "Solve for x: 12(x + 8) = -120", "solution_steps": ["Expand: 12x + 96 = -120", "Subtract 96 from both sides: 12x = -216", "Divide both sides by 12: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 8) = -120", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"d\": -120, \"x\": -18}", "seed": "10702917514180145953", "semantic_fingerprint": "sha256:558c638dad4e2b200c9e8186d95f9cf15a281d20d4468fe576aa306c879760f2", "generator_version": "3.0"}
{"id": "v3_val_00006327", "prompt": "Evaluate: 90 / (9 - (-3)) / (6 - (-6))", "solution_steps": ["Subtract: 9 - (-3) = 12", "Divide: 90 / 12 = 15/2", "Subtract: 6 - (-6) = 12", "Divide: (15/2) / 12 = 5/8"], "final_answer": "5/8", "answer_type": "rational", "kind": "expression", "math_text": "90 / (9 - (-3)) / (6 - (-6))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 9, \"c\": -3, \"d\": 6, \"e\": -6}", "seed": "3943259707739568407", "semantic_fingerprint": "sha256:40f30f714f7c45ba982f13a4b7be8ad3ba250ef66be4253554ca01fab146fd09", "generator_version": "3.0"}
{"id": "v3_val_00006328", "prompt": "What is -190 / (-7) * 35 + (-41)?", "solution_steps": ["Divide: -190 / (-7) = 190/7", "Multiply: (190/7) * 35 = 950", "Add: 950 + (-41) = 909"], "final_answer": "909", "answer_type": "integer", "kind": "expression", "math_text": "-190 / (-7) * 35 + (-41)", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -190, \"b\": -7, \"c\": 35, \"d\": -41}", "seed": "9840767434984137205", "semantic_fingerprint": "sha256:20839996a51c486e206fc20260d098252465db2ecd30e6cc90184a389b189707", "generator_version": "3.0"}
{"id": "v3_val_00006329", "prompt": "Calculate: 560 * 4", "solution_steps": ["Multiply: 560 * 4 = 2240"], "final_answer": "2240", "answer_type": "integer", "kind": "expression", "math_text": "560 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 560, \"b\": 4}", "seed": "1611589838353015377", "semantic_fingerprint": "sha256:00f6f6095440ae6a39836001de84c45147fc3c9180e129bb256e13b49dd79839", "generator_version": "3.0"}
{"id": "v3_val_00006330", "prompt": "What is -2 - (7 - 576 - (-692))?", "solution_steps": ["Subtract: 7 - 576 = -569", "Subtract: -569 - (-692) = 123", "Subtract: -2 - 123 = -125"], "final_answer": "-125", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (7 - 576 - (-692))", "variable": null, "family": "expression_3op", "shape": "(- n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 576, \"d\": -692}", "seed": "4934173667860440954", "semantic_fingerprint": "sha256:f7231c2e25228e74c10b2a98e3de17aa5b22263c2a9ccc752cec501fc11e0f66", "generator_version": "3.0"}
{"id": "v3_val_00006331", "prompt": "Calculate: -9 - (20 + 58 + (-39))", "solution_steps": ["Add: 20 + 58 = 78", "Add: 78 + (-39) = 39", "Subtract: -9 - 39 = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (20 + 58 + (-39))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 20, \"c\": 58, \"d\": -39}", "seed": "15783329418584721236", "semantic_fingerprint": "sha256:536bf82a36f303cca54edf67c9f01515dbae1dda1ef02cd81ad918ffa33ce800", "generator_version": "3.0"}
{"id": "v3_val_00006332", "prompt": "Solve for x: -7(x - 6) + 91 = x + 229", "solution_steps": ["Expand: -7x + 42 + 91 = x + 229", "Combine constants: -7x + 133 = x + 229", "Subtract x from both sides: -8x + 133 = 229", "Subtract 133 from both sides: -8x = 96", "Divide both sides by -8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 6) + 91 = x + 229", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 91, \"e\": 229, \"x\": -12}", "seed": "12875652044801671265", "semantic_fingerprint": "sha256:a8047d4266c045c09623d9553ddaa94c559973a215af7889f6d217b1d68abb94", "generator_version": "3.0"}
{"id": "v3_val_00006333", "prompt": "Calculate: -5 - (-15 + (-2) * 595)", "solution_steps": ["Multiply: -2 * 595 = -1190", "Add: -15 + (-1190) = -1205", "Subtract: -5 - (-1205) = 1200"], "final_answer": "1200", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-15 + (-2) * 595)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -15, \"c\": -2, \"d\": 595}", "seed": "10595316962069808766", "semantic_fingerprint": "sha256:bd27412c32a0039c0fd8eb55b5e2d210be31c15f6619fc12e7414696504b1608", "generator_version": "3.0"}
{"id": "v3_val_00006334", "prompt": "Compute: 0 - (7 + 28)", "solution_steps": ["Add: 7 + 28 = 35", "Subtract: 0 - 35 = -35"], "final_answer": "-35", "answer_type": "integer", "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": "4758917862676811693", "semantic_fingerprint": "sha256:561c271ec9fe6e415799c3c351f7bfe83bbc94c8e43791062323c59ada5cbd36", "generator_version": "3.0"}
{"id": "v3_val_00006335", "prompt": "What is 681 * 529?", "solution_steps": ["Multiply: 681 * 529 = 360249"], "final_answer": "360249", "answer_type": "integer", "kind": "expression", "math_text": "681 * 529", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 681, \"b\": 529}", "seed": "10367204638076472407", "semantic_fingerprint": "sha256:a5ef1035eca2857f0cc613155a8be87377523ddbd15d2ee91b50a6891cbaecc0", "generator_version": "3.0"}
{"id": "v3_val_00006336", "prompt": "Solve for x: x + 230 = 6x + 190", "solution_steps": ["Subtract 6x from both sides: -5x + 230 = 190", "Subtract 230 from both sides: -5x = -40", "Divide both sides by -5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 230 = 6x + 190", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 230, \"b\": 6, \"d\": 190, \"x\": 8}", "seed": "4398578937428807435", "semantic_fingerprint": "sha256:9a5045927af8d881a3b966909ab7181787d4ce0815414d48fad473d16e8cf716", "generator_version": "3.0"}
{"id": "v3_val_00006337", "prompt": "What is -486 / (231 - (85 - (-520)))?", "solution_steps": ["Subtract: 85 - (-520) = 605", "Subtract: 231 - 605 = -374", "Divide: -486 / (-374) = 243/187"], "final_answer": "243/187", "answer_type": "rational", "kind": "expression", "math_text": "-486 / (231 - (85 - (-520)))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -486, \"b\": 231, \"c\": 85, \"d\": -520}", "seed": "4472580844437813598", "semantic_fingerprint": "sha256:294a68410f6f3c9b5464c9eefddfe3eb9f603ff6871e68220604a098574cc57d", "generator_version": "3.0"}
{"id": "v3_val_00006338", "prompt": "What is 29 / (-47 - (-3)) * (-14)?", "solution_steps": ["Subtract: -47 - (-3) = -44", "Divide: 29 / (-44) = -29/44", "Multiply: (-29/44) * (-14) = 203/22"], "final_answer": "203/22", "answer_type": "rational", "kind": "expression", "math_text": "29 / (-47 - (-3)) * (-14)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -47, \"c\": -3, \"d\": -14}", "seed": "13541889497088402851", "semantic_fingerprint": "sha256:1e96925a214a467b7ea81ddc4a7efeff40dbb672b5170b021873b1c452417533", "generator_version": "3.0"}
{"id": "v3_val_00006339", "prompt": "Find x: 6(x + 2) = 18", "solution_steps": ["Expand: 6x + 12 = 18", "Subtract 12 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 + 2) = 18", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"d\": 18, \"x\": 1}", "seed": "4494413197894235994", "semantic_fingerprint": "sha256:dff4f3ce4895ffc82e02fa0b316208236690b2869394788c98973adc0c004735", "generator_version": "3.0"}
{"id": "v3_val_00006340", "prompt": "Compute: -504 * 63 * (-2)", "solution_steps": ["Multiply: -504 * 63 = -31752", "Multiply: -31752 * (-2) = 63504"], "final_answer": "63504", "answer_type": "integer", "kind": "expression", "math_text": "-504 * 63 * (-2)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -504, \"b\": 63, \"c\": -2}", "seed": "15410665766628500147", "semantic_fingerprint": "sha256:e03d05619a7344cabbf569b66ab06beedb144b6c007270a889eefb6976ac8dbe", "generator_version": "3.0"}
{"id": "v3_val_00006341", "prompt": "Calculate: -4 + (-97) - (-6)", "solution_steps": ["Add: -4 + (-97) = -101", "Subtract: -101 - (-6) = -95"], "final_answer": "-95", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-97) - (-6)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -97, \"c\": -6}", "seed": "4931842062209002100", "semantic_fingerprint": "sha256:1c0417e10c652065e261da223009dec61f2e23cc74ed298198451d7fabd883b9", "generator_version": "3.0"}
{"id": "v3_val_00006342", "prompt": "Compute: 7 - 22 + (-4)", "solution_steps": ["Subtract: 7 - 22 = -15", "Add: -15 + (-4) = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "7 - 22 + (-4)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 22, \"c\": -4}", "seed": "281100628152945305", "semantic_fingerprint": "sha256:69f563321e9e202dda0e370f35fddce23105922c6b612bd8daa702314997aeb1", "generator_version": "3.0"}
{"id": "v3_val_00006343", "prompt": "Calculate: -91 - 5", "solution_steps": ["Subtract: -91 - 5 = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "expression", "math_text": "-91 - 5", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 5}", "seed": "5947894720850550863", "semantic_fingerprint": "sha256:1444dcd28db67ab12521458ab03e0b730242f155f0ea5d38eb75d75f6c74230b", "generator_version": "3.0"}
{"id": "v3_val_00006344", "prompt": "What value of x satisfies 9x + 9 = -12x + 72?", "solution_steps": ["Add 12x to both sides: 21x + 9 = 72", "Subtract 9 from both sides: 21x = 63", "Divide both sides by 21: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 9 = -12x + 72", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": -12, \"e\": 72, \"x\": 3}", "seed": "10529954353240671959", "semantic_fingerprint": "sha256:24e4799eabd71be2a8943d3e290f975f3f763a87999f4d7bbba0543308671fce", "generator_version": "3.0"}
{"id": "v3_val_00006345", "prompt": "What value of x satisfies -9(x - 6) + 86 = x?", "solution_steps": ["Expand: -9x + 54 + 86 = x", "Combine constants: -9x + 140 = x", "Subtract x from both sides: -10x + 140 = 0", "Subtract 140 from both sides: -10x = -140", "Divide both sides by -10: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 6) + 86 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"d\": 86, \"x\": 14}", "seed": "13401694966210030378", "semantic_fingerprint": "sha256:b76b7e869f8c1600b5dccfb566d4dec42cc04c2f2943e0a77d90009874cacce9", "generator_version": "3.0"}
{"id": "v3_val_00006346", "prompt": "Compute: -9 - (95 + (-3)) - 7 / (-767 / (-6))", "solution_steps": ["Add: 95 + (-3) = 92", "Subtract: -9 - 92 = -101", "Divide: -767 / (-6) = 767/6", "Divide: 7 / (767/6) = 42/767", "Subtract: -101 - 42/767 = -77509/767"], "final_answer": "-77509/767", "answer_type": "rational", "kind": "expression", "math_text": "-9 - (95 + (-3)) - 7 / (-767 / (-6))", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 95, \"c\": -3, \"d\": 7, \"e\": -767, \"f\": -6}", "seed": "9696997225509616382", "semantic_fingerprint": "sha256:bd9617a2a9d703840898b6e89dcff11ac22c4556d3d738acba5bd65683047d21", "generator_version": "3.0"}
{"id": "v3_val_00006347", "prompt": "Find x: 6(x + 834) + 41 = 11x", "solution_steps": ["Expand: 6x + 5004 + 41 = 11x", "Combine constants: 6x + 5045 = 11x", "Subtract 11x from both sides: -5x + 5045 = 0", "Subtract 5045 from both sides: -5x = -5045", "Divide both sides by -5: x = 1009"], "final_answer": "1009", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 834) + 41 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 834, \"c\": 41, \"d\": 11}", "seed": "15642604208291974800", "semantic_fingerprint": "sha256:0580dc2a5e0d5ecbf7bfc8459fa7614c149ce44831dea07802b82cac4d4ca7c0", "generator_version": "3.0"}
{"id": "v3_val_00006348", "prompt": "What value of x satisfies 12x - 96 = 5(x + 35) - 8?", "solution_steps": ["Expand: 12x - 96 = 5x + 175 - 8", "Combine constants: 12x - 96 = 5x + 167", "Subtract 5x from both sides: 7x - 96 = 167", "Add 96 to both sides: 7x = 263", "Divide both sides by 7: x = 263/7"], "final_answer": "263/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 96 = 5(x + 35) - 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 96, \"c\": 5, \"d\": 35, \"e\": 8}", "seed": "3171917316164115130", "semantic_fingerprint": "sha256:c98aada2b523d79316a2e4099f31bcc40a3c83939e899642d2d978ab6936620f", "generator_version": "3.0"}
{"id": "v3_val_00006349", "prompt": "Evaluate: -2 * (0 - (87 + (-37)))", "solution_steps": ["Add: 87 + (-37) = 50", "Subtract: 0 - 50 = -50", "Multiply: -2 * (-50) = 100"], "final_answer": "100", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (0 - (87 + (-37)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 0, \"c\": 87, \"d\": -37}", "seed": "6793441086725665475", "semantic_fingerprint": "sha256:a8eeeb594f149b73861df0aa3f1c961f89976403b90d44b64f126663f53e8dc7", "generator_version": "3.0"}
{"id": "v3_val_00006350", "prompt": "Solve for x: x = -7(x + 174)", "solution_steps": ["Expand: x = -7x - 1218", "Add 7x to both sides: 8x = -1218", "Divide both sides by 8: x = -609/4"], "final_answer": "-609/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -7(x + 174)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 174}", "seed": "17765273375757900032", "semantic_fingerprint": "sha256:b8c22229722a9d0d34c2ee8b89f1b97a1d94a69c1a6e701552f0e1bc465c5534", "generator_version": "3.0"}
{"id": "v3_val_00006351", "prompt": "Compute: 0 * 86 + (5 - 2) - 676 / 6", "solution_steps": ["Multiply: 0 * 86 = 0", "Subtract: 5 - 2 = 3", "Add: 0 + 3 = 3", "Divide: 676 / 6 = 338/3", "Subtract: 3 - 338/3 = -329/3"], "final_answer": "-329/3", "answer_type": "rational", "kind": "expression", "math_text": "0 * 86 + (5 - 2) - 676 / 6", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 86, \"c\": 5, \"d\": 2, \"e\": 676, \"f\": 6}", "seed": "11314814875121875557", "semantic_fingerprint": "sha256:76a617edbd621e3c935c8d5bc6c4ee9731c9b0a491834ebc5beea0e4439e6124", "generator_version": "3.0"}
{"id": "v3_val_00006352", "prompt": "Calculate: -28 - (0 + (-9) + 7 - 1 + 9)", "solution_steps": ["Add: 0 + (-9) = -9", "Add: -9 + 7 = -2", "Subtract: -2 - 1 = -3", "Add: -3 + 9 = 6", "Subtract: -28 - 6 = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "expression", "math_text": "-28 - (0 + (-9) + 7 - 1 + 9)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (- (+ (+ n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 0, \"c\": -9, \"d\": 7, \"e\": 1, \"f\": 9}", "seed": "5126447397899278954", "semantic_fingerprint": "sha256:a3868e09be5c67d9d1e916a612140eb4dd5d9b4ab9a21f607e0c9fdcc1ff040b", "generator_version": "3.0"}
{"id": "v3_val_00006353", "prompt": "Compute: 0 * (-17) - (-5) * (-13)", "solution_steps": ["Multiply: 0 * (-17) = 0", "Multiply: -5 * (-13) = 65", "Subtract: 0 - 65 = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-17) - (-5) * (-13)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -17, \"c\": -5, \"d\": -13}", "seed": "17532666990218165160", "semantic_fingerprint": "sha256:02189bd3146907a3ac2526213f7c0f4e82d337328659bcb2013975dfec0ca2da", "generator_version": "3.0"}
{"id": "v3_val_00006354", "prompt": "Find x: 3(x - 26) - 71 = 4(x + 26) - 244", "solution_steps": ["Expand: 3x - 78 - 71 = 4(x + 26) - 244", "Expand: 3x - 78 - 71 = 4x + 104 - 244", "Combine constants: 3x - 149 = 4x + 104 - 244", "Combine constants: 3x - 149 = 4x - 140", "Subtract 4x from both sides: -x - 149 = -140", "Add 149 to both sides: -x = 9", "Divide both sides by -1: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 26) - 71 = 4(x + 26) - 244", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 26, \"c\": 71, \"d\": 4, \"e\": 26, \"g\": -244, \"x\": -9}", "seed": "15531094738846381524", "semantic_fingerprint": "sha256:e547e921830491f29d93a29f4a1be0bc0d4709010e5d4735dc008bdff06e0c56", "generator_version": "3.0"}
{"id": "v3_val_00006355", "prompt": "Compute: -76 * 331 - (-44) * (-111)", "solution_steps": ["Multiply: -76 * 331 = -25156", "Multiply: -44 * (-111) = 4884", "Subtract: -25156 - 4884 = -30040"], "final_answer": "-30040", "answer_type": "integer", "kind": "expression", "math_text": "-76 * 331 - (-44) * (-111)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 331, \"c\": -44, \"d\": -111}", "seed": "11894240000324529393", "semantic_fingerprint": "sha256:65cdacd396326613dd4012c29fa61007ead08c888304b5e4a8ca06cc7b3f577b", "generator_version": "3.0"}
{"id": "v3_val_00006356", "prompt": "Calculate: -1 / (878 / (-265))", "solution_steps": ["Divide: 878 / (-265) = -878/265", "Divide: -1 / (-878/265) = 265/878"], "final_answer": "265/878", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (878 / (-265))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 878, \"c\": -265}", "seed": "11075725626152641771", "semantic_fingerprint": "sha256:176fbb9184b3b87d2c5bf43f9a4b5dc2b2cda7b7e8d700ea7c7dc3ca09a5291a", "generator_version": "3.0"}
{"id": "v3_val_00006357", "prompt": "Calculate: -325 - 6 / (-1) * (-29)", "solution_steps": ["Divide: 6 / (-1) = -6", "Multiply: -6 * (-29) = 174", "Subtract: -325 - 174 = -499"], "final_answer": "-499", "answer_type": "integer", "kind": "expression", "math_text": "-325 - 6 / (-1) * (-29)", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -325, \"b\": 6, \"c\": -1, \"d\": -29}", "seed": "630154513949397126", "semantic_fingerprint": "sha256:c7b0f7d319a30a6fa2a660e52495222113c764a722f301f1eb3ce713eeca353f", "generator_version": "3.0"}
{"id": "v3_val_00006358", "prompt": "Compute: -25 + 56 + (-3) / 57", "solution_steps": ["Add: -25 + 56 = 31", "Divide: -3 / 57 = -1/19", "Add: 31 + (-1/19) = 588/19"], "final_answer": "588/19", "answer_type": "rational", "kind": "expression", "math_text": "-25 + 56 + (-3) / 57", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 56, \"c\": -3, \"d\": 57}", "seed": "2079880068762931554", "semantic_fingerprint": "sha256:adc02deb869b8a54128ae1d5a4317b713dd7d32068392c59980d3aafa926cb42", "generator_version": "3.0"}
{"id": "v3_val_00006359", "prompt": "What value of x satisfies 4(x - 918) = 7x?", "solution_steps": ["Expand: 4x - 3672 = 7x", "Subtract 7x from both sides: -3x - 3672 = 0", "Add 3672 to both sides: -3x = 3672", "Divide both sides by -3: x = -1224"], "final_answer": "-1224", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 918) = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 918, \"c\": 7}", "seed": "6921326660822298752", "semantic_fingerprint": "sha256:28f40ca4220748face5c0a48c9e86ae76ba03df144d70f2041ec9f8e9bd66f34", "generator_version": "3.0"}
{"id": "v3_val_00006360", "prompt": "Calculate: 46 * 5 - (-2) - (-9 + 351) / 79", "solution_steps": ["Multiply: 46 * 5 = 230", "Subtract: 230 - (-2) = 232", "Add: -9 + 351 = 342", "Divide: 342 / 79 = 342/79", "Subtract: 232 - 342/79 = 17986/79"], "final_answer": "17986/79", "answer_type": "rational", "kind": "expression", "math_text": "46 * 5 - (-2) - (-9 + 351) / 79", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 5, \"c\": -2, \"d\": -9, \"e\": 351, \"f\": 79}", "seed": "3049562282968398640", "semantic_fingerprint": "sha256:121f31961d39c0bf95e455421ed1b2ca560e57ad6956b968e17dc95407688415", "generator_version": "3.0"}
{"id": "v3_val_00006361", "prompt": "Find x: 9x = 90", "solution_steps": ["Divide both sides by 9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 90", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 90, \"x\": 10}", "seed": "12324770600814557931", "semantic_fingerprint": "sha256:f46f1ea0780c497c2524a4fe6b62bef46c95aaff55d5b04803abc630737c8b22", "generator_version": "3.0"}
{"id": "v3_val_00006362", "prompt": "Calculate: (662 - (-8) + 0 / (-11)) * 98", "solution_steps": ["Subtract: 662 - (-8) = 670", "Divide: 0 / (-11) = 0", "Add: 670 + 0 = 670", "Multiply: 670 * 98 = 65660"], "final_answer": "65660", "answer_type": "integer", "kind": "expression", "math_text": "(662 - (-8) + 0 / (-11)) * 98", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 662, \"b\": -8, \"c\": 0, \"d\": -11, \"e\": 98}", "seed": "10063178553093800274", "semantic_fingerprint": "sha256:a6e72071d2d68413d2a0746c61da5af3b06b4790bf0a67e81ef973bdf6552d56", "generator_version": "3.0"}
{"id": "v3_val_00006363", "prompt": "Solve the equation -12(x - 20) = 240 for x.", "solution_steps": ["Expand: -12x + 240 = 240", "Subtract 240 from both sides: -12x = 0", "Divide both sides by -12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 20) = 240", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 20, \"d\": 240, \"x\": 0}", "seed": "8064724878213647744", "semantic_fingerprint": "sha256:611d571ecc08f77c18cbf41ac25796721ca15b609165beb7ff6515bf39cc87f9", "generator_version": "3.0"}
{"id": "v3_val_00006364", "prompt": "Find x: 2(x + 2) = 12(x - 835)", "solution_steps": ["Expand: 2x + 4 = 12(x - 835)", "Expand: 2x + 4 = 12x - 10020", "Subtract 12x from both sides: -10x + 4 = -10020", "Subtract 4 from both sides: -10x = -10024", "Divide both sides by -10: x = 5012/5"], "final_answer": "5012/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 2) = 12(x - 835)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 12, \"d\": 835}", "seed": "3120844002052824680", "semantic_fingerprint": "sha256:c74803f42f9d26bfa9530e74c9eefcec4f7787c5cfbcffcf10be553d85250f80", "generator_version": "3.0"}
{"id": "v3_val_00006365", "prompt": "What is -73 * ((-31 + (-8)) * (0 - 68))?", "solution_steps": ["Add: -31 + (-8) = -39", "Subtract: 0 - 68 = -68", "Multiply: -39 * (-68) = 2652", "Multiply: -73 * 2652 = -193596"], "final_answer": "-193596", "answer_type": "integer", "kind": "expression", "math_text": "-73 * ((-31 + (-8)) * (0 - 68))", "variable": null, "family": "expression_4op", "shape": "(* n (* (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -31, \"c\": -8, \"d\": 0, \"e\": 68}", "seed": "2315469215350584047", "semantic_fingerprint": "sha256:bc32d176469e8c811907c888c88ffe8ae20b9ffcf9094d8802d2f059d8ad9758", "generator_version": "3.0"}
{"id": "v3_val_00006366", "prompt": "Compute: 75 * 2", "solution_steps": ["Multiply: 75 * 2 = 150"], "final_answer": "150", "answer_type": "integer", "kind": "expression", "math_text": "75 * 2", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 2}", "seed": "13629126511565700160", "semantic_fingerprint": "sha256:ea0c4795e5dc3c98664919f5b32d92df50ce44d80bcc1ea1dd2ef79f045783d9", "generator_version": "3.0"}
{"id": "v3_val_00006367", "prompt": "Compute: -8 / 3 * 51", "solution_steps": ["Divide: -8 / 3 = -8/3", "Multiply: (-8/3) * 51 = -136"], "final_answer": "-136", "answer_type": "integer", "kind": "expression", "math_text": "-8 / 3 * 51", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 51}", "seed": "16338768869473124378", "semantic_fingerprint": "sha256:92fca9d298c299b49d3b6d525687e5e54d6b7810056338715399104295c64997", "generator_version": "3.0"}
{"id": "v3_val_00006368", "prompt": "Evaluate: -94 - 5", "solution_steps": ["Subtract: -94 - 5 = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "expression", "math_text": "-94 - 5", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 5}", "seed": "15943995521476468681", "semantic_fingerprint": "sha256:c7a0f99b0ad053e57a8d14741450a29cab1e418296dd76f22bafb9616b267e97", "generator_version": "3.0"}
{"id": "v3_val_00006369", "prompt": "Compute: 7 - 72", "solution_steps": ["Subtract: 7 - 72 = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "7 - 72", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 72}", "seed": "4105800318992795365", "semantic_fingerprint": "sha256:9b145cfbf7133cb642895f0579a14c8b2523bf39b2b524055eab00f0a28827cd", "generator_version": "3.0"}
{"id": "v3_val_00006370", "prompt": "Solve the equation -4(x + 85) = x - 295 for x.", "solution_steps": ["Expand: -4x - 340 = x - 295", "Subtract x from both sides: -5x - 340 = -295", "Add 340 to both sides: -5x = 45", "Divide both sides by -5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 85) = x - 295", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 85, \"d\": -295, \"x\": -9}", "seed": "12776276850807244233", "semantic_fingerprint": "sha256:8b57781071162053f74611db44fa60a1c1f4a6b1298406af7966ee304f57ef96", "generator_version": "3.0"}
{"id": "v3_val_00006371", "prompt": "Find x: x - 12 = -12", "solution_steps": ["Add 12 to both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 12 = -12", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -12, \"x\": 0}", "seed": "6987550968015120513", "semantic_fingerprint": "sha256:e21f61a64c1ce238c4ec3eeab680dd929a2414bf8babcb08b3f43a7201d96076", "generator_version": "3.0"}
{"id": "v3_val_00006372", "prompt": "What value of x satisfies -4(x + 60) + 176 = 8(x + 7)?", "solution_steps": ["Expand: -4x - 240 + 176 = 8(x + 7)", "Expand: -4x - 240 + 176 = 8x + 56", "Combine constants: -4x - 64 = 8x + 56", "Subtract 8x from both sides: -12x - 64 = 56", "Add 64 to both sides: -12x = 120", "Divide both sides by -12: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 60) + 176 = 8(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\": 60, \"c\": 8, \"d\": 7, \"f\": 176, \"x\": -10}", "seed": "5984996283082518952", "semantic_fingerprint": "sha256:83cd4468a3019e7d3dd877f11faf5356e0a84725f343df05b2aa83af484fc05f", "generator_version": "3.0"}
{"id": "v3_val_00006373", "prompt": "What is -56 / (-227) + (-28 + (-57))?", "solution_steps": ["Divide: -56 / (-227) = 56/227", "Add: -28 + (-57) = -85", "Add: 56/227 + (-85) = -19239/227"], "final_answer": "-19239/227", "answer_type": "rational", "kind": "expression", "math_text": "-56 / (-227) + (-28 + (-57))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -227, \"c\": -28, \"d\": -57}", "seed": "8511453443866245318", "semantic_fingerprint": "sha256:37537d6b3990e97cf902abd12899b6ca57ff7622ccb9c99272654e5f3eaf963e", "generator_version": "3.0"}
{"id": "v3_val_00006374", "prompt": "Solve for x: x - 23 = 8(x - 2) - 7", "solution_steps": ["Expand: x - 23 = 8x - 16 - 7", "Combine constants: x - 23 = 8x - 23", "Subtract 8x from both sides: -7x - 23 = -23", "Add 23 to both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 23 = 8(x - 2) - 7", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 8, \"c\": 2, \"e\": -7, \"x\": 0}", "seed": "4277707568994170355", "semantic_fingerprint": "sha256:822b1d4f9d9b388fb7ca738d0c857fa4a80bc849274b7f0e0b3eebab0f34d8d4", "generator_version": "3.0"}
{"id": "v3_val_00006375", "prompt": "What is 3 - 563?", "solution_steps": ["Subtract: 3 - 563 = -560"], "final_answer": "-560", "answer_type": "integer", "kind": "expression", "math_text": "3 - 563", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 563}", "seed": "15871869237688972194", "semantic_fingerprint": "sha256:4d25c3b4d9bde7cf627f8996082cd421ceb7c004f73dd2cb3ab16e6d257fcb6f", "generator_version": "3.0"}
{"id": "v3_val_00006376", "prompt": "Calculate: 88 / (-3 / 25)", "solution_steps": ["Divide: -3 / 25 = -3/25", "Divide: 88 / (-3/25) = -2200/3"], "final_answer": "-2200/3", "answer_type": "rational", "kind": "expression", "math_text": "88 / (-3 / 25)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -3, \"c\": 25}", "seed": "11159937984011014491", "semantic_fingerprint": "sha256:56eb53752f8139b2b16cd423de569aca959b1cbe49b34ec676819fbd2cbdc538", "generator_version": "3.0"}
{"id": "v3_val_00006377", "prompt": "Compute: -8 / (44 - (-301))", "solution_steps": ["Subtract: 44 - (-301) = 345", "Divide: -8 / 345 = -8/345"], "final_answer": "-8/345", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (44 - (-301))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 44, \"c\": -301}", "seed": "11286149661139312034", "semantic_fingerprint": "sha256:221db077d548963591175a9293260cd343c09db7d7de1b5e8d3e1e6608ac2cec", "generator_version": "3.0"}
{"id": "v3_val_00006378", "prompt": "What is -40 + 91?", "solution_steps": ["Add: -40 + 91 = 51"], "final_answer": "51", "answer_type": "integer", "kind": "expression", "math_text": "-40 + 91", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 91}", "seed": "1468671647419153433", "semantic_fingerprint": "sha256:6a53348eed06d09b5b51df3219264a7c0e2274bd9ce5ddfb1fa6576f1648c0b8", "generator_version": "3.0"}
{"id": "v3_val_00006379", "prompt": "Compute: -7 * (2 / (-3)) + 96 * (-8 - (-5))", "solution_steps": ["Divide: 2 / (-3) = -2/3", "Multiply: -7 * (-2/3) = 14/3", "Subtract: -8 - (-5) = -3", "Multiply: 96 * (-3) = -288", "Add: 14/3 + (-288) = -850/3"], "final_answer": "-850/3", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (2 / (-3)) + 96 * (-8 - (-5))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n n)) (* n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": -3, \"d\": 96, \"e\": -8, \"f\": -5}", "seed": "250432254762778720", "semantic_fingerprint": "sha256:fa9908666ea064ebeded7766b5f605f196b7b15dd2fb5ee807b2725629baa868", "generator_version": "3.0"}
{"id": "v3_val_00006380", "prompt": "Evaluate: 37 / (-114) + (-977)", "solution_steps": ["Divide: 37 / (-114) = -37/114", "Add: -37/114 + (-977) = -111415/114"], "final_answer": "-111415/114", "answer_type": "rational", "kind": "expression", "math_text": "37 / (-114) + (-977)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -114, \"c\": -977}", "seed": "16259140554405162621", "semantic_fingerprint": "sha256:e11cbd47145e5f331e06a2abdc487a3717810951328be7e36e94b008a9c87bcf", "generator_version": "3.0"}
{"id": "v3_val_00006381", "prompt": "Calculate: -223 - (-9 - (-2))", "solution_steps": ["Subtract: -9 - (-2) = -7", "Subtract: -223 - (-7) = -216"], "final_answer": "-216", "answer_type": "integer", "kind": "expression", "math_text": "-223 - (-9 - (-2))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -223, \"b\": -9, \"c\": -2}", "seed": "5838842255660548024", "semantic_fingerprint": "sha256:3642e4276153fff5ca906949a13f29d14772edcd004f14213a06e9d5dfd74be7", "generator_version": "3.0"}
{"id": "v3_val_00006382", "prompt": "Calculate: 31 * (436 + (-6 + 936) / 4) + 15", "solution_steps": ["Add: -6 + 936 = 930", "Divide: 930 / 4 = 465/2", "Add: 436 + 465/2 = 1337/2", "Multiply: 31 * (1337/2) = 41447/2", "Add: 41447/2 + 15 = 41477/2"], "final_answer": "41477/2", "answer_type": "rational", "kind": "expression", "math_text": "31 * (436 + (-6 + 936) / 4) + 15", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n (/ (+ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 436, \"c\": -6, \"d\": 936, \"e\": 4, \"f\": 15}", "seed": "12594032239711454353", "semantic_fingerprint": "sha256:e341d95e40ce886ee5432032b0c425a81b5348ade2be4806d026016f11370a7c", "generator_version": "3.0"}
{"id": "v3_val_00006383", "prompt": "Calculate: -18 + (-99) * 8 * 5", "solution_steps": ["Multiply: -99 * 8 = -792", "Multiply: -792 * 5 = -3960", "Add: -18 + (-3960) = -3978"], "final_answer": "-3978", "answer_type": "integer", "kind": "expression", "math_text": "-18 + (-99) * 8 * 5", "variable": null, "family": "expression_3op", "shape": "(+ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -99, \"c\": 8, \"d\": 5}", "seed": "794412719815090231", "semantic_fingerprint": "sha256:101ef74f6abe4ca6006f119c2ab1a012adc7b2fb533f808d3aa91cf8930dba6b", "generator_version": "3.0"}
{"id": "v3_val_00006384", "prompt": "Compute: 788 * (20 + 994)", "solution_steps": ["Add: 20 + 994 = 1014", "Multiply: 788 * 1014 = 799032"], "final_answer": "799032", "answer_type": "integer", "kind": "expression", "math_text": "788 * (20 + 994)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 788, \"b\": 20, \"c\": 994}", "seed": "4204877486734896393", "semantic_fingerprint": "sha256:9453c50d5ccdb9300d12bb6852d6660e108ca235a81da9caf65b8c6ec64339ba", "generator_version": "3.0"}
{"id": "v3_val_00006385", "prompt": "Calculate: -6 / (20 + (-2)) + 0", "solution_steps": ["Add: 20 + (-2) = 18", "Divide: -6 / 18 = -1/3", "Add: -1/3 + 0 = -1/3"], "final_answer": "-1/3", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (20 + (-2)) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 20, \"c\": -2, \"d\": 0}", "seed": "17203839259317329471", "semantic_fingerprint": "sha256:c32709efa771386f46a8135c2cfd1ea8566d1ed140fc52f158bb9234cf2118bb", "generator_version": "3.0"}
{"id": "v3_val_00006386", "prompt": "What is (344 + 53) / 302 * (-79)?", "solution_steps": ["Add: 344 + 53 = 397", "Divide: 397 / 302 = 397/302", "Multiply: (397/302) * (-79) = -31363/302"], "final_answer": "-31363/302", "answer_type": "rational", "kind": "expression", "math_text": "(344 + 53) / 302 * (-79)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 344, \"b\": 53, \"c\": 302, \"d\": -79}", "seed": "11594369516067786469", "semantic_fingerprint": "sha256:73643c960dbef6326e7045b34c83fa90e78c315e0fa4a4cbf20836cb2ae2f54a", "generator_version": "3.0"}
{"id": "v3_val_00006387", "prompt": "Evaluate: -36 + (-4)", "solution_steps": ["Add: -36 + (-4) = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "expression", "math_text": "-36 + (-4)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -4}", "seed": "13092714838760967676", "semantic_fingerprint": "sha256:8095382f89ff9d95790af14aec7a1f746d3ede96f4b30a7aeed0a0b38a2c48b6", "generator_version": "3.0"}
{"id": "v3_val_00006388", "prompt": "Evaluate: (177 - (-6)) / (-11 - (-611))", "solution_steps": ["Subtract: 177 - (-6) = 183", "Subtract: -11 - (-611) = 600", "Divide: 183 / 600 = 61/200"], "final_answer": "61/200", "answer_type": "rational", "kind": "expression", "math_text": "(177 - (-6)) / (-11 - (-611))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 177, \"b\": -6, \"c\": -11, \"d\": -611}", "seed": "10481402637153649762", "semantic_fingerprint": "sha256:261b77c67be557615aca3e5bb4ef03874edbd8566b97225136ed5ce540f12908", "generator_version": "3.0"}
{"id": "v3_val_00006389", "prompt": "Solve the equation 8(x - 21) = 12(x - 53) for x.", "solution_steps": ["Expand: 8x - 168 = 12(x - 53)", "Expand: 8x - 168 = 12x - 636", "Subtract 12x from both sides: -4x - 168 = -636", "Add 168 to both sides: -4x = -468", "Divide both sides by -4: x = 117"], "final_answer": "117", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 21) = 12(x - 53)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 21, \"c\": 12, \"d\": 53}", "seed": "12706798903555595233", "semantic_fingerprint": "sha256:6305781cbea02e5532568c4e8669bb5d6336f17ba88533dfc0acaf50e6eed6a1", "generator_version": "3.0"}
{"id": "v3_val_00006390", "prompt": "Compute: 359 - (-162 - 575) + (-68) / (-491)", "solution_steps": ["Subtract: -162 - 575 = -737", "Subtract: 359 - (-737) = 1096", "Divide: -68 / (-491) = 68/491", "Add: 1096 + 68/491 = 538204/491"], "final_answer": "538204/491", "answer_type": "rational", "kind": "expression", "math_text": "359 - (-162 - 575) + (-68) / (-491)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 359, \"b\": -162, \"c\": 575, \"d\": -68, \"e\": -491}", "seed": "9010294309287647809", "semantic_fingerprint": "sha256:7e8d907bfe55cf16b5f3a05291519e6c1768fe37c913afc8884d862b23632a55", "generator_version": "3.0"}
{"id": "v3_val_00006391", "prompt": "Compute: -3 * (72 + (-7))", "solution_steps": ["Add: 72 + (-7) = 65", "Multiply: -3 * 65 = -195"], "final_answer": "-195", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (72 + (-7))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 72, \"c\": -7}", "seed": "3859431107996220439", "semantic_fingerprint": "sha256:ccc796d779a72f82baeff50a34cf8a692494525f6efa271172698e17c2469025", "generator_version": "3.0"}
{"id": "v3_val_00006392", "prompt": "Compute: (-7 - 8) * 413 + (-6)", "solution_steps": ["Subtract: -7 - 8 = -15", "Multiply: -15 * 413 = -6195", "Add: -6195 + (-6) = -6201"], "final_answer": "-6201", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - 8) * 413 + (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 413, \"d\": -6}", "seed": "2915963410579903030", "semantic_fingerprint": "sha256:7134d418891a6480d00c9003ee151ef9f00ef340eaf4465e2093de14ce82c903", "generator_version": "3.0"}
{"id": "v3_val_00006393", "prompt": "Find x: 2x - 6 = 3(x + 4) - 26", "solution_steps": ["Expand: 2x - 6 = 3x + 12 - 26", "Combine constants: 2x - 6 = 3x - 14", "Subtract 3x from both sides: -x - 6 = -14", "Add 6 to both sides: -x = -8", "Divide both sides by -1: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 6 = 3(x + 4) - 26", "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\": 4, \"f\": -26, \"x\": 8}", "seed": "862770456301838437", "semantic_fingerprint": "sha256:fb4aec4ce82b193bf829d4251baebe57c3a6f4bd1dc310918edc6004c8de9b89", "generator_version": "3.0"}
{"id": "v3_val_00006394", "prompt": "Solve for x: x + 58 = 5x + 18", "solution_steps": ["Subtract 5x from both sides: -4x + 58 = 18", "Subtract 58 from both sides: -4x = -40", "Divide both sides by -4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 58 = 5x + 18", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 5, \"d\": 18, \"x\": 10}", "seed": "8090325571917676099", "semantic_fingerprint": "sha256:80c8a13dd95f4f40585cc724c895b02f47967278962647d69f91cb8f0b9158d7", "generator_version": "3.0"}
{"id": "v3_val_00006395", "prompt": "Compute: -627 / (-50) - (-79)", "solution_steps": ["Divide: -627 / (-50) = 627/50", "Subtract: 627/50 - (-79) = 4577/50"], "final_answer": "4577/50", "answer_type": "rational", "kind": "expression", "math_text": "-627 / (-50) - (-79)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -627, \"b\": -50, \"c\": -79}", "seed": "9072844312500091673", "semantic_fingerprint": "sha256:5476c2ba6e40434199ff703b3ac32072d47ba17db3d13a2bdf37cdd02cbb591e", "generator_version": "3.0"}
{"id": "v3_val_00006396", "prompt": "Compute: (68 / 26 - (-73 + (-709))) / 8", "solution_steps": ["Divide: 68 / 26 = 34/13", "Add: -73 + (-709) = -782", "Subtract: 34/13 - (-782) = 10200/13", "Divide: (10200/13) / 8 = 1275/13"], "final_answer": "1275/13", "answer_type": "rational", "kind": "expression", "math_text": "(68 / 26 - (-73 + (-709))) / 8", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 26, \"c\": -73, \"d\": -709, \"e\": 8}", "seed": "2614093851784853242", "semantic_fingerprint": "sha256:08a827853868505a42beb4a8607693adf1d71e4d66c82fb3d4fec3ec128eb044", "generator_version": "3.0"}
{"id": "v3_val_00006397", "prompt": "Evaluate: -8 / (1 - (-3))", "solution_steps": ["Subtract: 1 - (-3) = 4", "Divide: -8 / 4 = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "-8 / (1 - (-3))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"c\": -3}", "seed": "17830509580379177836", "semantic_fingerprint": "sha256:27859f08cef4132a27776ba2471bca54fe28f685eb2652510529e6586500f813", "generator_version": "3.0"}
{"id": "v3_val_00006398", "prompt": "What is (-9 - 9) / (79 + (-400)) / (-79)?", "solution_steps": ["Subtract: -9 - 9 = -18", "Add: 79 + (-400) = -321", "Divide: -18 / (-321) = 6/107", "Divide: (6/107) / (-79) = -6/8453"], "final_answer": "-6/8453", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - 9) / (79 + (-400)) / (-79)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 79, \"d\": -400, \"e\": -79}", "seed": "13618519114378526175", "semantic_fingerprint": "sha256:119136a4c6ffb5220fdb1d4554dfcba7a994c7f421a2a90fe65b3f8d9ede3beb", "generator_version": "3.0"}
{"id": "v3_val_00006399", "prompt": "What is 0 - (0 / 2 + 832)?", "solution_steps": ["Divide: 0 / 2 = 0", "Add: 0 + 832 = 832", "Subtract: 0 - 832 = -832"], "final_answer": "-832", "answer_type": "integer", "kind": "expression", "math_text": "0 - (0 / 2 + 832)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 2, \"d\": 832}", "seed": "13925646957778840687", "semantic_fingerprint": "sha256:2bff98287de2bdb10cbff0f99244e3c55b83b4c2768334e2968b63da137a3296", "generator_version": "3.0"}
{"id": "v3_val_00006400", "prompt": "What is (130 - (781 - (-900))) * (-569)?", "solution_steps": ["Subtract: 781 - (-900) = 1681", "Subtract: 130 - 1681 = -1551", "Multiply: -1551 * (-569) = 882519"], "final_answer": "882519", "answer_type": "integer", "kind": "expression", "math_text": "(130 - (781 - (-900))) * (-569)", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 130, \"b\": 781, \"c\": -900, \"d\": -569}", "seed": "9449647963165724901", "semantic_fingerprint": "sha256:7de398611b634b8cf07a3cc60a3183913cd137ed1d72478bee818474c2685cf1", "generator_version": "3.0"}
{"id": "v3_val_00006401", "prompt": "Calculate: 8 / (16 - (-8) + (-2) / 165)", "solution_steps": ["Subtract: 16 - (-8) = 24", "Divide: -2 / 165 = -2/165", "Add: 24 + (-2/165) = 3958/165", "Divide: 8 / (3958/165) = 660/1979"], "final_answer": "660/1979", "answer_type": "rational", "kind": "expression", "math_text": "8 / (16 - (-8) + (-2) / 165)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 16, \"c\": -8, \"d\": -2, \"e\": 165}", "seed": "13008271919977941385", "semantic_fingerprint": "sha256:b7efaa085790dfb53d82a8af93115645ea545a18836c45eae2243950005cf01a", "generator_version": "3.0"}
{"id": "v3_val_00006402", "prompt": "Compute: 67 - (-4 - 95 + (-63 + 99)) / 239", "solution_steps": ["Subtract: -4 - 95 = -99", "Add: -63 + 99 = 36", "Add: -99 + 36 = -63", "Divide: -63 / 239 = -63/239", "Subtract: 67 - (-63/239) = 16076/239"], "final_answer": "16076/239", "answer_type": "rational", "kind": "expression", "math_text": "67 - (-4 - 95 + (-63 + 99)) / 239", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ (- n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -4, \"c\": 95, \"d\": -63, \"e\": 99, \"f\": 239}", "seed": "2815005421302992903", "semantic_fingerprint": "sha256:67048799a67fffea37c950c3e53abdd68032eec09236aa0c95a790782abeff98", "generator_version": "3.0"}
{"id": "v3_val_00006403", "prompt": "What is -5 / (-47 - 77)?", "solution_steps": ["Subtract: -47 - 77 = -124", "Divide: -5 / (-124) = 5/124"], "final_answer": "5/124", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-47 - 77)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -47, \"c\": 77}", "seed": "8508217633512681131", "semantic_fingerprint": "sha256:abf3c0e79300b44dfc8a4058aaead3d9c64a6bb67c58b916f3147bd2398f9dd8", "generator_version": "3.0"}
{"id": "v3_val_00006404", "prompt": "Calculate: (67 - (-119 - (-69))) * 836", "solution_steps": ["Subtract: -119 - (-69) = -50", "Subtract: 67 - (-50) = 117", "Multiply: 117 * 836 = 97812"], "final_answer": "97812", "answer_type": "integer", "kind": "expression", "math_text": "(67 - (-119 - (-69))) * 836", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -119, \"c\": -69, \"d\": 836}", "seed": "16037865464782094190", "semantic_fingerprint": "sha256:1ba3a814a8fa872f41f4700ea7b318cf7343fa311137b9e1046f18b1aa381c2d", "generator_version": "3.0"}
{"id": "v3_val_00006405", "prompt": "Solve the equation 12(x + 69) + 94 = 730 for x.", "solution_steps": ["Expand: 12x + 828 + 94 = 730", "Combine constants: 12x + 922 = 730", "Subtract 922 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 + 69) + 94 = 730", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 69, \"c\": 94, \"e\": 730, \"x\": -16}", "seed": "7306648763202902062", "semantic_fingerprint": "sha256:6ea4c01a2254fa06d2fab55995a46a64ff9080f3b4a3a9d8fb5d8f81158abcf9", "generator_version": "3.0"}
{"id": "v3_val_00006406", "prompt": "Evaluate: 5 - (-821) / (-6 + 84)", "solution_steps": ["Add: -6 + 84 = 78", "Divide: -821 / 78 = -821/78", "Subtract: 5 - (-821/78) = 1211/78"], "final_answer": "1211/78", "answer_type": "rational", "kind": "expression", "math_text": "5 - (-821) / (-6 + 84)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -821, \"c\": -6, \"d\": 84}", "seed": "12623420595325392576", "semantic_fingerprint": "sha256:d1e9e4a2050c1adc0efdd29d7753eabab472bb62e55f885a30ab23b63aa908f9", "generator_version": "3.0"}
{"id": "v3_val_00006407", "prompt": "Calculate: -28 * (-6) + 4 - (-119) * 2", "solution_steps": ["Multiply: -28 * (-6) = 168", "Add: 168 + 4 = 172", "Multiply: -119 * 2 = -238", "Subtract: 172 - (-238) = 410"], "final_answer": "410", "answer_type": "integer", "kind": "expression", "math_text": "-28 * (-6) + 4 - (-119) * 2", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -6, \"c\": 4, \"d\": -119, \"e\": 2}", "seed": "12043208516580827783", "semantic_fingerprint": "sha256:ce917666f747a35200df86fae3e988090e06b28de344485bbc9b85a487765d1e", "generator_version": "3.0"}
{"id": "v3_val_00006408", "prompt": "Calculate: -651 - 0", "solution_steps": ["Subtract: -651 - 0 = -651"], "final_answer": "-651", "answer_type": "integer", "kind": "expression", "math_text": "-651 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -651, \"b\": 0}", "seed": "971785595197155419", "semantic_fingerprint": "sha256:8d33a627b42a10a32eaca864fb2eea24a6115ba27f8f0cc44cbece06472eb57c", "generator_version": "3.0"}
{"id": "v3_val_00006409", "prompt": "Evaluate: 80 + (397 - 11 / 273)", "solution_steps": ["Divide: 11 / 273 = 11/273", "Subtract: 397 - 11/273 = 108370/273", "Add: 80 + 108370/273 = 130210/273"], "final_answer": "130210/273", "answer_type": "rational", "kind": "expression", "math_text": "80 + (397 - 11 / 273)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 397, \"c\": 11, \"d\": 273}", "seed": "8842102823696743598", "semantic_fingerprint": "sha256:8cf314e95808401fb8f221a55227e184ed6254708da46040e4fcc3e20cf1c073", "generator_version": "3.0"}
{"id": "v3_val_00006410", "prompt": "Compute: 274 - (-5) * (24 + (-93)) - (-31)", "solution_steps": ["Add: 24 + (-93) = -69", "Multiply: -5 * (-69) = 345", "Subtract: 274 - 345 = -71", "Subtract: -71 - (-31) = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "expression", "math_text": "274 - (-5) * (24 + (-93)) - (-31)", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 274, \"b\": -5, \"c\": 24, \"d\": -93, \"e\": -31}", "seed": "701044008820260717", "semantic_fingerprint": "sha256:55e13e5e4464a2c813bb7b554e2a171e7a2e86cc7150cef1481741f266d7abd4", "generator_version": "3.0"}
{"id": "v3_val_00006411", "prompt": "Calculate: -64 * (-41) * (-35 - (-77))", "solution_steps": ["Multiply: -64 * (-41) = 2624", "Subtract: -35 - (-77) = 42", "Multiply: 2624 * 42 = 110208"], "final_answer": "110208", "answer_type": "integer", "kind": "expression", "math_text": "-64 * (-41) * (-35 - (-77))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -41, \"c\": -35, \"d\": -77}", "seed": "4998212903013105634", "semantic_fingerprint": "sha256:e249cabbd63309fe3bbe413cbda0d80a03bf5ee947fec5743e82bbdc33e5186b", "generator_version": "3.0"}
{"id": "v3_val_00006412", "prompt": "Solve the equation -10x = 11(x - 52) for x.", "solution_steps": ["Expand: -10x = 11x - 572", "Subtract 11x from both sides: -21x = -572", "Divide both sides by -21: x = 572/21"], "final_answer": "572/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x = 11(x - 52)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 11, \"c\": 52}", "seed": "5173816848996845319", "semantic_fingerprint": "sha256:1f6036c934a9ee7f26ef8a03abda062074f60b1e522c57b751689cccc8afb6ed", "generator_version": "3.0"}
{"id": "v3_val_00006413", "prompt": "Compute: -802 - 4 / 42", "solution_steps": ["Divide: 4 / 42 = 2/21", "Subtract: -802 - 2/21 = -16844/21"], "final_answer": "-16844/21", "answer_type": "rational", "kind": "expression", "math_text": "-802 - 4 / 42", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -802, \"b\": 4, \"c\": 42}", "seed": "16675394881799681498", "semantic_fingerprint": "sha256:d62432ab040c9350ec83200a58615fb1bc56ca6f59fe3b5bcbf324ed971ce0c3", "generator_version": "3.0"}
{"id": "v3_val_00006414", "prompt": "Compute: 7 / 6 - (-7)", "solution_steps": ["Divide: 7 / 6 = 7/6", "Subtract: 7/6 - (-7) = 49/6"], "final_answer": "49/6", "answer_type": "rational", "kind": "expression", "math_text": "7 / 6 - (-7)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": -7}", "seed": "17613279011652495979", "semantic_fingerprint": "sha256:4f71b87856480a513bbba63cbc8beaab0b826026a1b9d826161106a2de759e8a", "generator_version": "3.0"}
{"id": "v3_val_00006415", "prompt": "Compute: 7 + 86 * 9", "solution_steps": ["Multiply: 86 * 9 = 774", "Add: 7 + 774 = 781"], "final_answer": "781", "answer_type": "integer", "kind": "expression", "math_text": "7 + 86 * 9", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 86, \"c\": 9}", "seed": "1046274113433436501", "semantic_fingerprint": "sha256:e4bf2c59b641089f1dbb7c8e5307af11883ca2bd6aa30e4b6dc7e60ea011d85a", "generator_version": "3.0"}
{"id": "v3_val_00006416", "prompt": "Solve the equation x + 476 = 11(x - 33) - 4 for x.", "solution_steps": ["Expand: x + 476 = 11x - 363 - 4", "Combine constants: x + 476 = 11x - 367", "Subtract 11x from both sides: -10x + 476 = -367", "Subtract 476 from both sides: -10x = -843", "Divide both sides by -10: x = 843/10"], "final_answer": "843/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 476 = 11(x - 33) - 4", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 476, \"b\": 11, \"c\": 33, \"d\": 4}", "seed": "1194110750106768599", "semantic_fingerprint": "sha256:e2be583d353a6d44b1bd98438966be57ecf9792a1a37c54577193ed4062c31af", "generator_version": "3.0"}
{"id": "v3_val_00006417", "prompt": "What is -716 / (21 + 24 - (-627)) / (3 * (-7))?", "solution_steps": ["Add: 21 + 24 = 45", "Subtract: 45 - (-627) = 672", "Divide: -716 / 672 = -179/168", "Multiply: 3 * (-7) = -21", "Divide: (-179/168) / (-21) = 179/3528"], "final_answer": "179/3528", "answer_type": "rational", "kind": "expression", "math_text": "-716 / (21 + 24 - (-627)) / (3 * (-7))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (- (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -716, \"b\": 21, \"c\": 24, \"d\": -627, \"e\": 3, \"f\": -7}", "seed": "18278918937652504795", "semantic_fingerprint": "sha256:53af98ae167ef549d63dd72a21b08a84d98906aebf49743b5c0d69fb084b8a48", "generator_version": "3.0"}
{"id": "v3_val_00006418", "prompt": "Evaluate: (-886 - 3 - (-3) + 96) * (-46 + (-766))", "solution_steps": ["Subtract: -886 - 3 = -889", "Subtract: -889 - (-3) = -886", "Add: -886 + 96 = -790", "Add: -46 + (-766) = -812", "Multiply: -790 * (-812) = 641480"], "final_answer": "641480", "answer_type": "integer", "kind": "expression", "math_text": "(-886 - 3 - (-3) + 96) * (-46 + (-766))", "variable": null, "family": "expression_5op", "shape": "(* (+ (- (- n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -886, \"b\": 3, \"c\": -3, \"d\": 96, \"e\": -46, \"f\": -766}", "seed": "1255146460356922341", "semantic_fingerprint": "sha256:e401671bf29d9148f567f71c49f14af710c6bcf3387847cc30635d41018e2afc", "generator_version": "3.0"}
{"id": "v3_val_00006419", "prompt": "Calculate: 21 + 89 - 490", "solution_steps": ["Add: 21 + 89 = 110", "Subtract: 110 - 490 = -380"], "final_answer": "-380", "answer_type": "integer", "kind": "expression", "math_text": "21 + 89 - 490", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 89, \"c\": 490}", "seed": "8902222264430786319", "semantic_fingerprint": "sha256:8563aff8f956b846288f275bbef003cc70f07bc9eee52a1ff9f1eb5a57816578", "generator_version": "3.0"}
{"id": "v3_val_00006420", "prompt": "Compute: -3 - (-62) + 5", "solution_steps": ["Subtract: -3 - (-62) = 59", "Add: 59 + 5 = 64"], "final_answer": "64", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-62) + 5", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -62, \"c\": 5}", "seed": "6299915294678121653", "semantic_fingerprint": "sha256:bb07a02bc6b08090f2a88fc6b0f45a43067af36250e531774f207c4a9d736418", "generator_version": "3.0"}
{"id": "v3_val_00006421", "prompt": "Solve the equation 12x + 93 = 11(x + 54) - 513 for x.", "solution_steps": ["Expand: 12x + 93 = 11x + 594 - 513", "Combine constants: 12x + 93 = 11x + 81", "Subtract 11x from both sides: x + 93 = 81", "Subtract 93 from both sides: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 93 = 11(x + 54) - 513", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 93, \"c\": 11, \"d\": 54, \"f\": -513, \"x\": -12}", "seed": "6984702852456337041", "semantic_fingerprint": "sha256:4c7d12295f929a6b5682edde9bff90fa405ed5b8013ef9734f5cfe68245056e5", "generator_version": "3.0"}
{"id": "v3_val_00006422", "prompt": "Compute: -3 + (-838)", "solution_steps": ["Add: -3 + (-838) = -841"], "final_answer": "-841", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-838)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -838}", "seed": "15470982627711575176", "semantic_fingerprint": "sha256:751a7feb044a66fe4d75d43203302974f03782baef6794c2fd875626c8f4f58c", "generator_version": "3.0"}
{"id": "v3_val_00006423", "prompt": "Solve the equation 4(x + 3) = -64 for x.", "solution_steps": ["Expand: 4x + 12 = -64", "Subtract 12 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 + 3) = -64", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"d\": -64, \"x\": -19}", "seed": "316016846865709506", "semantic_fingerprint": "sha256:a9068ba618e2830ca5b6116c5ba1ec13cf7eb742fea12148398eb374341c66fb", "generator_version": "3.0"}
{"id": "v3_val_00006424", "prompt": "Find x: -4(x + 15) = 11x - 105", "solution_steps": ["Expand: -4x - 60 = 11x - 105", "Subtract 11x from both sides: -15x - 60 = -105", "Add 60 to both sides: -15x = -45", "Divide both sides by -15: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 15) = 11x - 105", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 15, \"c\": 11, \"e\": -105, \"x\": 3}", "seed": "3753872509034049532", "semantic_fingerprint": "sha256:7fd3050337b6bc5179b369cff7695df8b6ec3c63000f66b70394ff6c1e92743b", "generator_version": "3.0"}
{"id": "v3_val_00006425", "prompt": "Solve the equation 8(x - 4) = 9(x + 52) - 512 for x.", "solution_steps": ["Expand: 8x - 32 = 9(x + 52) - 512", "Expand: 8x - 32 = 9x + 468 - 512", "Combine constants: 8x - 32 = 9x - 44", "Subtract 9x from both sides: -x - 32 = -44", "Add 32 to both sides: -x = -12", "Divide both sides by -1: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 4) = 9(x + 52) - 512", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 9, \"d\": 52, \"f\": -512, \"x\": 12}", "seed": "8942147163065864741", "semantic_fingerprint": "sha256:9b0816c334f51d26223a78bbf1204c0444f03c68b1a2683a74dcbedf9e346d56", "generator_version": "3.0"}
{"id": "v3_val_00006426", "prompt": "Calculate: 2 + 0 + (16 + (-63))", "solution_steps": ["Add: 2 + 0 = 2", "Add: 16 + (-63) = -47", "Add: 2 + (-47) = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "expression", "math_text": "2 + 0 + (16 + (-63))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": 16, \"d\": -63}", "seed": "15132830820437619884", "semantic_fingerprint": "sha256:7317b8695934fc43da63d58bd1ac66959fbb13b5aa5ea5c3917eb95abdbed11b", "generator_version": "3.0"}
{"id": "v3_val_00006427", "prompt": "Find x: 2(x - 12) - 5 = x - 10", "solution_steps": ["Expand: 2x - 24 - 5 = x - 10", "Combine constants: 2x - 29 = x - 10", "Subtract x from both sides: x - 29 = -10", "Add 29 to both sides: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 12) - 5 = x - 10", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 12, \"c\": 5, \"e\": -10, \"x\": 19}", "seed": "7700642096362622233", "semantic_fingerprint": "sha256:eacf8b2f5c4bdb0b4c8db6024f0d28a5874c11b7bcf64ff6ae68a90f17287441", "generator_version": "3.0"}
{"id": "v3_val_00006428", "prompt": "Calculate: 1 - (-5 + 94 * 163 * (-6) - 140)", "solution_steps": ["Multiply: 94 * 163 = 15322", "Multiply: 15322 * (-6) = -91932", "Add: -5 + (-91932) = -91937", "Subtract: -91937 - 140 = -92077", "Subtract: 1 - (-92077) = 92078"], "final_answer": "92078", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-5 + 94 * 163 * (-6) - 140)", "variable": null, "family": "expression_5op", "shape": "(- n (- (+ n (* (* n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -5, \"c\": 94, \"d\": 163, \"e\": -6, \"f\": 140}", "seed": "9110227456858237084", "semantic_fingerprint": "sha256:ca9a321732a584df9eda186194f186f262825d12d9605063ac5646945f58ea8f", "generator_version": "3.0"}
{"id": "v3_val_00006429", "prompt": "Evaluate: 3 / (-8)", "solution_steps": ["Divide: 3 / (-8) = -3/8"], "final_answer": "-3/8", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-8)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8}", "seed": "11646515352911415278", "semantic_fingerprint": "sha256:bcc75bcfa5d24efde517ea28d62a24c15f1d8a36988eed0cf0b14f834bd0ad2f", "generator_version": "3.0"}
{"id": "v3_val_00006430", "prompt": "Solve for x: -8(x + 9) = -368", "solution_steps": ["Expand: -8x - 72 = -368", "Add 72 to both sides: -8x = -296", "Divide both sides by -8: x = 37"], "final_answer": "37", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 9) = -368", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": -368}", "seed": "7677314787639186081", "semantic_fingerprint": "sha256:33434b247d9290c7b0240243a731cd616a68cd994c926b1ac8e4ce87bf62487f", "generator_version": "3.0"}
{"id": "v3_val_00006431", "prompt": "Solve the equation 6(x + 2) = 4x for x.", "solution_steps": ["Expand: 6x + 12 = 4x", "Subtract 4x from both sides: 2x + 12 = 0", "Subtract 12 from both sides: 2x = -12", "Divide both sides by 2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 2) = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 4}", "seed": "12807356850534102508", "semantic_fingerprint": "sha256:182da82de18ff08e37f0bb55e90cdb28712107412e0bcbd7968506619e677651", "generator_version": "3.0"}
{"id": "v3_val_00006432", "prompt": "What is (-1 + (-575) - (-7)) * (-379)?", "solution_steps": ["Add: -1 + (-575) = -576", "Subtract: -576 - (-7) = -569", "Multiply: -569 * (-379) = 215651"], "final_answer": "215651", "answer_type": "integer", "kind": "expression", "math_text": "(-1 + (-575) - (-7)) * (-379)", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -575, \"c\": -7, \"d\": -379}", "seed": "3056095848800850439", "semantic_fingerprint": "sha256:a92b3b783c0639bb2ea549f0fe9edb67866bd525d288336c39e8320efe04375f", "generator_version": "3.0"}
{"id": "v3_val_00006433", "prompt": "What value of x satisfies -10x + 73 = x + 7?", "solution_steps": ["Subtract x from both sides: -11x + 73 = 7", "Subtract 73 from both sides: -11x = -66", "Divide both sides by -11: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x + 73 = x + 7", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 73, \"c\": 7}", "seed": "6706667424085685677", "semantic_fingerprint": "sha256:34efba63a808d8c44f55431f093f632f64e8d19172a61b41bcde200b891950e9", "generator_version": "3.0"}
{"id": "v3_val_00006434", "prompt": "Compute: -30 / (-42) + (-9) - 155 / (73 + 8)", "solution_steps": ["Divide: -30 / (-42) = 5/7", "Add: 5/7 + (-9) = -58/7", "Add: 73 + 8 = 81", "Divide: 155 / 81 = 155/81", "Subtract: -58/7 - 155/81 = -5783/567"], "final_answer": "-5783/567", "answer_type": "rational", "kind": "expression", "math_text": "-30 / (-42) + (-9) - 155 / (73 + 8)", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -42, \"c\": -9, \"d\": 155, \"e\": 73, \"f\": 8}", "seed": "16929539357511157751", "semantic_fingerprint": "sha256:918fb0887835874aa69ba4a6b9a8a53bba0549ccd01416bfc35d36f75ba711d2", "generator_version": "3.0"}
{"id": "v3_val_00006435", "prompt": "Evaluate: -65 / (-75) - (-8) / (-916 + (-563))", "solution_steps": ["Divide: -65 / (-75) = 13/15", "Add: -916 + (-563) = -1479", "Divide: -8 / (-1479) = 8/1479", "Subtract: 13/15 - 8/1479 = 2123/2465"], "final_answer": "2123/2465", "answer_type": "rational", "kind": "expression", "math_text": "-65 / (-75) - (-8) / (-916 + (-563))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -75, \"c\": -8, \"d\": -916, \"e\": -563}", "seed": "14999447428558981901", "semantic_fingerprint": "sha256:c0bc44f35baeaa2bbd79c11166e8ef500a84ad046336bc013312a0fe41907c21", "generator_version": "3.0"}
{"id": "v3_val_00006436", "prompt": "Calculate: -8 * ((13 + (-75) - (-23 + 3)) * 37)", "solution_steps": ["Add: 13 + (-75) = -62", "Add: -23 + 3 = -20", "Subtract: -62 - (-20) = -42", "Multiply: -42 * 37 = -1554", "Multiply: -8 * (-1554) = 12432"], "final_answer": "12432", "answer_type": "integer", "kind": "expression", "math_text": "-8 * ((13 + (-75) - (-23 + 3)) * 37)", "variable": null, "family": "expression_5op", "shape": "(* n (* (- (+ n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 13, \"c\": -75, \"d\": -23, \"e\": 3, \"f\": 37}", "seed": "4548251362902709621", "semantic_fingerprint": "sha256:548e3641d6f438a04d3e8d00af3140a3437651994e0c6a3bec341495df5102e1", "generator_version": "3.0"}
{"id": "v3_val_00006437", "prompt": "What value of x satisfies 9x = 135?", "solution_steps": ["Divide both sides by 9: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 135", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 135, \"x\": 15}", "seed": "4855601797736639083", "semantic_fingerprint": "sha256:6312b48f958b50d59a0283ee83a0fd510ffc5043c476716d86a505bf2850e428", "generator_version": "3.0"}
{"id": "v3_val_00006438", "prompt": "Evaluate: 210 + (-73) * 6 + 8 * 5", "solution_steps": ["Multiply: -73 * 6 = -438", "Add: 210 + (-438) = -228", "Multiply: 8 * 5 = 40", "Add: -228 + 40 = -188"], "final_answer": "-188", "answer_type": "integer", "kind": "expression", "math_text": "210 + (-73) * 6 + 8 * 5", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 210, \"b\": -73, \"c\": 6, \"d\": 8, \"e\": 5}", "seed": "18071475856883549454", "semantic_fingerprint": "sha256:65473c7c95257c971e55d5c7185d986b06b4aa1dbb0ab7df9082d45a10b7013a", "generator_version": "3.0"}
{"id": "v3_val_00006439", "prompt": "Evaluate: 621 / (-1 - 7 * (-24))", "solution_steps": ["Multiply: 7 * (-24) = -168", "Subtract: -1 - (-168) = 167", "Divide: 621 / 167 = 621/167"], "final_answer": "621/167", "answer_type": "rational", "kind": "expression", "math_text": "621 / (-1 - 7 * (-24))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 621, \"b\": -1, \"c\": 7, \"d\": -24}", "seed": "11965537448793575737", "semantic_fingerprint": "sha256:0d4ff49b3154d2b415a4e06759b5a27cd6c5ff7d1debb262bfd32215b04d985d", "generator_version": "3.0"}
{"id": "v3_val_00006440", "prompt": "Evaluate: -6 * 9", "solution_steps": ["Multiply: -6 * 9 = -54"], "final_answer": "-54", "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": "14426778057606429453", "semantic_fingerprint": "sha256:d5f804e6d3ae49beace3bc5fda035555d7c0d1a95012e617a60da97922a23176", "generator_version": "3.0"}
{"id": "v3_val_00006441", "prompt": "Calculate: (-5 * 55 - 9) / 403", "solution_steps": ["Multiply: -5 * 55 = -275", "Subtract: -275 - 9 = -284", "Divide: -284 / 403 = -284/403"], "final_answer": "-284/403", "answer_type": "rational", "kind": "expression", "math_text": "(-5 * 55 - 9) / 403", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 55, \"c\": 9, \"d\": 403}", "seed": "13755989289870803451", "semantic_fingerprint": "sha256:9b660843a32ee5a7263d98fd5ac3e7c3a5c755f2ae985ef2f912377864ba7984", "generator_version": "3.0"}
{"id": "v3_val_00006442", "prompt": "Find x: 2x = 3(x - 47)", "solution_steps": ["Expand: 2x = 3x - 141", "Subtract 3x from both sides: -x = -141", "Divide both sides by -1: x = 141"], "final_answer": "141", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 3(x - 47)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 47}", "seed": "13023250561142288387", "semantic_fingerprint": "sha256:ddd169e8b20bb6befd7203f7e967f4a836822ed9665a2431fe28b6ec9bbeaebe", "generator_version": "3.0"}
{"id": "v3_val_00006443", "prompt": "Find x: -10(x - 475) = -9(x + 18)", "solution_steps": ["Expand: -10x + 4750 = -9(x + 18)", "Expand: -10x + 4750 = -9x - 162", "Add 9x to both sides: -x + 4750 = -162", "Subtract 4750 from both sides: -x = -4912", "Divide both sides by -1: x = 4912"], "final_answer": "4912", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 475) = -9(x + 18)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 475, \"c\": -9, \"d\": 18}", "seed": "2545866578072470725", "semantic_fingerprint": "sha256:284865e337cb7235f727954485c8060acd27ac8a825b8aaf58ea8632d02710bc", "generator_version": "3.0"}
{"id": "v3_val_00006444", "prompt": "Calculate: 99 - (-63 - 1 + 75 - (-90))", "solution_steps": ["Subtract: -63 - 1 = -64", "Add: -64 + 75 = 11", "Subtract: 11 - (-90) = 101", "Subtract: 99 - 101 = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "99 - (-63 - 1 + 75 - (-90))", "variable": null, "family": "expression_4op", "shape": "(- n (- (+ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -63, \"c\": 1, \"d\": 75, \"e\": -90}", "seed": "15875661484550843301", "semantic_fingerprint": "sha256:aee08d8c4f1dae3e0d306af81520c2eddd09cedca324d1ce2b7805494d1531de", "generator_version": "3.0"}
{"id": "v3_val_00006445", "prompt": "What is (-631 - (-11)) * (-63 / (-5) + (-99))?", "solution_steps": ["Subtract: -631 - (-11) = -620", "Divide: -63 / (-5) = 63/5", "Add: 63/5 + (-99) = -432/5", "Multiply: -620 * (-432/5) = 53568"], "final_answer": "53568", "answer_type": "integer", "kind": "expression", "math_text": "(-631 - (-11)) * (-63 / (-5) + (-99))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -631, \"b\": -11, \"c\": -63, \"d\": -5, \"e\": -99}", "seed": "13447991929637273335", "semantic_fingerprint": "sha256:8c5f37faaa93b509967fa96c20f2f53bcd6af9b2574bdd8e0a701701052e023b", "generator_version": "3.0"}
{"id": "v3_val_00006446", "prompt": "Solve the equation x - 99 = 8x - 148 for x.", "solution_steps": ["Subtract 8x from both sides: -7x - 99 = -148", "Add 99 to both sides: -7x = -49", "Divide both sides by -7: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 99 = 8x - 148", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 8, \"d\": -148, \"x\": 7}", "seed": "14449548508738298221", "semantic_fingerprint": "sha256:e53b82c16b350239a357947667c982e8c99d6bad2e71b185b86000ec8f3e8837", "generator_version": "3.0"}
{"id": "v3_val_00006447", "prompt": "Solve for x: -12(x - 10) - 4 = 6x + 188", "solution_steps": ["Expand: -12x + 120 - 4 = 6x + 188", "Combine constants: -12x + 116 = 6x + 188", "Subtract 6x from both sides: -18x + 116 = 188", "Subtract 116 from both sides: -18x = 72", "Divide both sides by -18: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 10) - 4 = 6x + 188", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 10, \"c\": 4, \"d\": 6, \"f\": 188, \"x\": -4}", "seed": "8469766254072329115", "semantic_fingerprint": "sha256:218357baad7fbd72d81e4a54156ae7eb05d022d1d3ce72b330d43cb0a2203ee3", "generator_version": "3.0"}
{"id": "v3_val_00006448", "prompt": "Evaluate: -29 * 8", "solution_steps": ["Multiply: -29 * 8 = -232"], "final_answer": "-232", "answer_type": "integer", "kind": "expression", "math_text": "-29 * 8", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 8}", "seed": "16394219731635481732", "semantic_fingerprint": "sha256:d14f34f628638e33ab10c0349e531a25f0bc2f83c56c8374a9c3275375e5ac89", "generator_version": "3.0"}
{"id": "v3_val_00006449", "prompt": "What value of x satisfies 5(x - 32) - 9 = -6(x + 7) - 303?", "solution_steps": ["Expand: 5x - 160 - 9 = -6(x + 7) - 303", "Expand: 5x - 160 - 9 = -6x - 42 - 303", "Combine constants: 5x - 169 = -6x - 42 - 303", "Combine constants: 5x - 169 = -6x - 345", "Add 6x to both sides: 11x - 169 = -345", "Add 169 to both sides: 11x = -176", "Divide both sides by 11: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 32) - 9 = -6(x + 7) - 303", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 32, \"c\": 9, \"d\": -6, \"e\": 7, \"g\": -303, \"x\": -16}", "seed": "12758423305977844393", "semantic_fingerprint": "sha256:d007a8a0065754b321abb118cbb0fea2ec64288d89b51622f8eb6898c2eae355", "generator_version": "3.0"}
{"id": "v3_val_00006450", "prompt": "Evaluate: 44 / ((1 - 2) / 903)", "solution_steps": ["Subtract: 1 - 2 = -1", "Divide: -1 / 903 = -1/903", "Divide: 44 / (-1/903) = -39732"], "final_answer": "-39732", "answer_type": "integer", "kind": "expression", "math_text": "44 / ((1 - 2) / 903)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 1, \"c\": 2, \"d\": 903}", "seed": "8456766260017789625", "semantic_fingerprint": "sha256:a58baf2014353588531910361f239ac0e02d6c873e0db3ef727a122464fc275c", "generator_version": "3.0"}
{"id": "v3_val_00006451", "prompt": "Evaluate: 717 / (-3) * (-77)", "solution_steps": ["Divide: 717 / (-3) = -239", "Multiply: -239 * (-77) = 18403"], "final_answer": "18403", "answer_type": "integer", "kind": "expression", "math_text": "717 / (-3) * (-77)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 717, \"b\": -3, \"c\": -77}", "seed": "6562128484055460599", "semantic_fingerprint": "sha256:385b15d8d0cb0f84474514a3a50921a54c4a714b3cdec86fb9062ff97907abc9", "generator_version": "3.0"}
{"id": "v3_val_00006452", "prompt": "Solve for x: x + 29 = -7(x - 3)", "solution_steps": ["Expand: x + 29 = -7x + 21", "Add 7x to both sides: 8x + 29 = 21", "Subtract 29 from both sides: 8x = -8", "Divide both sides by 8: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 29 = -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\": 29, \"x\": -1}", "seed": "3375117541721450523", "semantic_fingerprint": "sha256:f569f8b1e3b287edf5014f17d503615cc50b6bc23d9915951337e544cead5a33", "generator_version": "3.0"}
{"id": "v3_val_00006453", "prompt": "Calculate: 17 * (558 * (5 / (85 / (-15))))", "solution_steps": ["Divide: 85 / (-15) = -17/3", "Divide: 5 / (-17/3) = -15/17", "Multiply: 558 * (-15/17) = -8370/17", "Multiply: 17 * (-8370/17) = -8370"], "final_answer": "-8370", "answer_type": "integer", "kind": "expression", "math_text": "17 * (558 * (5 / (85 / (-15))))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (/ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 558, \"c\": 5, \"d\": 85, \"e\": -15}", "seed": "12424915397076582207", "semantic_fingerprint": "sha256:2c3a5d244e9993c838349aa8581074e2f07fbb9772092a654ad5e97ded6fee45", "generator_version": "3.0"}
{"id": "v3_val_00006454", "prompt": "Find x: -3(x - 9) - 87 = -114", "solution_steps": ["Expand: -3x + 27 - 87 = -114", "Combine constants: -3x - 60 = -114", "Add 60 to both sides: -3x = -54", "Divide both sides by -3: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 9) - 87 = -114", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 87, \"e\": -114, \"x\": 18}", "seed": "9109234503141848979", "semantic_fingerprint": "sha256:dbde574f7e539f31ee0cf6eef782526fdc873e434c192e18020a2c7c516b9352", "generator_version": "3.0"}
{"id": "v3_val_00006455", "prompt": "Calculate: -949 / (-9)", "solution_steps": ["Divide: -949 / (-9) = 949/9"], "final_answer": "949/9", "answer_type": "rational", "kind": "expression", "math_text": "-949 / (-9)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -949, \"b\": -9}", "seed": "18219285881109371336", "semantic_fingerprint": "sha256:5411805281df0244bbbd89da8b84a6094e69a01b62fe019b420672cf81d85568", "generator_version": "3.0"}
{"id": "v3_val_00006456", "prompt": "Calculate: 3 / (-65) * 19", "solution_steps": ["Divide: 3 / (-65) = -3/65", "Multiply: (-3/65) * 19 = -57/65"], "final_answer": "-57/65", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-65) * 19", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -65, \"c\": 19}", "seed": "12463131500709361837", "semantic_fingerprint": "sha256:838b0b76a59f710e076a10e35aa43605a6b9ee75c9fe33f6eafea203400d6333", "generator_version": "3.0"}
{"id": "v3_val_00006457", "prompt": "What is 359 - (-86 - (-166 - (-562) + 7))?", "solution_steps": ["Subtract: -166 - (-562) = 396", "Add: 396 + 7 = 403", "Subtract: -86 - 403 = -489", "Subtract: 359 - (-489) = 848"], "final_answer": "848", "answer_type": "integer", "kind": "expression", "math_text": "359 - (-86 - (-166 - (-562) + 7))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 359, \"b\": -86, \"c\": -166, \"d\": -562, \"e\": 7}", "seed": "3552518284481947621", "semantic_fingerprint": "sha256:8618e22a38fe6bd9d014b5d0b959d401a74e9d3dd3309bcfff7573909ba5a3c5", "generator_version": "3.0"}
{"id": "v3_val_00006458", "prompt": "Calculate: 45 * (-923) - (-7 - (-51))", "solution_steps": ["Multiply: 45 * (-923) = -41535", "Subtract: -7 - (-51) = 44", "Subtract: -41535 - 44 = -41579"], "final_answer": "-41579", "answer_type": "integer", "kind": "expression", "math_text": "45 * (-923) - (-7 - (-51))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -923, \"c\": -7, \"d\": -51}", "seed": "220731600164370266", "semantic_fingerprint": "sha256:bb6cc2d8ed398f8ad02d1505bcbc2e73766f6b0d614643bef8b68b3d47da071c", "generator_version": "3.0"}
{"id": "v3_val_00006459", "prompt": "Calculate: -483 * (51 / 88) + 3", "solution_steps": ["Divide: 51 / 88 = 51/88", "Multiply: -483 * (51/88) = -24633/88", "Add: -24633/88 + 3 = -24369/88"], "final_answer": "-24369/88", "answer_type": "rational", "kind": "expression", "math_text": "-483 * (51 / 88) + 3", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -483, \"b\": 51, \"c\": 88, \"d\": 3}", "seed": "12041145238914830369", "semantic_fingerprint": "sha256:bd11c343adc81ffaa91328a1050dec350927aea78b45d8ec70c6fc6c36ab0923", "generator_version": "3.0"}
{"id": "v3_val_00006460", "prompt": "Calculate: 394 * (2 / (-281))", "solution_steps": ["Divide: 2 / (-281) = -2/281", "Multiply: 394 * (-2/281) = -788/281"], "final_answer": "-788/281", "answer_type": "rational", "kind": "expression", "math_text": "394 * (2 / (-281))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 394, \"b\": 2, \"c\": -281}", "seed": "16782996466792687336", "semantic_fingerprint": "sha256:9261852cd4c3286b2d31ad019ac75302a3cfd48564e865393a4a79c7a1b4e725", "generator_version": "3.0"}
{"id": "v3_val_00006461", "prompt": "What is 83 + 91 / 925?", "solution_steps": ["Divide: 91 / 925 = 91/925", "Add: 83 + 91/925 = 76866/925"], "final_answer": "76866/925", "answer_type": "rational", "kind": "expression", "math_text": "83 + 91 / 925", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 91, \"c\": 925}", "seed": "15942106117086742015", "semantic_fingerprint": "sha256:f3b197daee5717b40364fc65172ba9ccdb221d1ad11b27060b3317d435ecab71", "generator_version": "3.0"}
{"id": "v3_val_00006462", "prompt": "What is 35 - (18 + 276)?", "solution_steps": ["Add: 18 + 276 = 294", "Subtract: 35 - 294 = -259"], "final_answer": "-259", "answer_type": "integer", "kind": "expression", "math_text": "35 - (18 + 276)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 18, \"c\": 276}", "seed": "5415674849929593965", "semantic_fingerprint": "sha256:fe3848afd4b05b380e47af2611ee2680a1f3d5017da3876cbc27cd597741068c", "generator_version": "3.0"}
{"id": "v3_val_00006463", "prompt": "Evaluate: 69 / (-221) * 78 + (50 - 736) - (-1)", "solution_steps": ["Divide: 69 / (-221) = -69/221", "Multiply: (-69/221) * 78 = -414/17", "Subtract: 50 - 736 = -686", "Add: -414/17 + (-686) = -12076/17", "Subtract: -12076/17 - (-1) = -12059/17"], "final_answer": "-12059/17", "answer_type": "rational", "kind": "expression", "math_text": "69 / (-221) * 78 + (50 - 736) - (-1)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* (/ n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -221, \"c\": 78, \"d\": 50, \"e\": 736, \"f\": -1}", "seed": "3309825628380773256", "semantic_fingerprint": "sha256:4960b87276c7d61087c7b195501158fd62377f60360e6dee25aa81864fdbcafc", "generator_version": "3.0"}
{"id": "v3_val_00006464", "prompt": "Calculate: 677 * (-8)", "solution_steps": ["Multiply: 677 * (-8) = -5416"], "final_answer": "-5416", "answer_type": "integer", "kind": "expression", "math_text": "677 * (-8)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 677, \"b\": -8}", "seed": "1290953247151081313", "semantic_fingerprint": "sha256:1a5de266d18e3a5e257d0899f8a44da5b472a66405ac004fcc7734634ed0e027", "generator_version": "3.0"}
{"id": "v3_val_00006465", "prompt": "What is -11 / 68?", "solution_steps": ["Divide: -11 / 68 = -11/68"], "final_answer": "-11/68", "answer_type": "rational", "kind": "expression", "math_text": "-11 / 68", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 68}", "seed": "12643568893494768316", "semantic_fingerprint": "sha256:dcdc4c3ee6e2008bbc12bcf084e4f3031b627409511ca10373dac7c68abab662", "generator_version": "3.0"}
{"id": "v3_val_00006466", "prompt": "Compute: -7 / (-1 / 6) - (-7 + (-892))", "solution_steps": ["Divide: -1 / 6 = -1/6", "Divide: -7 / (-1/6) = 42", "Add: -7 + (-892) = -899", "Subtract: 42 - (-899) = 941"], "final_answer": "941", "answer_type": "integer", "kind": "expression", "math_text": "-7 / (-1 / 6) - (-7 + (-892))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -1, \"c\": 6, \"d\": -7, \"e\": -892}", "seed": "3882143272589946829", "semantic_fingerprint": "sha256:85aff7cdb2e7d901c3451012c6890c65bdafc30bdb2f27bbfe47c221d57307c6", "generator_version": "3.0"}
{"id": "v3_val_00006467", "prompt": "Solve the equation 9x + 3 = 6x - 36 for x.", "solution_steps": ["Subtract 6x from both sides: 3x + 3 = -36", "Subtract 3 from both sides: 3x = -39", "Divide both sides by 3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 3 = 6x - 36", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 6, \"e\": -36, \"x\": -13}", "seed": "3952066720199646520", "semantic_fingerprint": "sha256:1a8375a392a7d30949c7e105abf181f9645fe5f8f56ea2d5f8cd8f30a5feb480", "generator_version": "3.0"}
{"id": "v3_val_00006468", "prompt": "Find x: 7(x - 13) + 82 = 69", "solution_steps": ["Expand: 7x - 91 + 82 = 69", "Combine constants: 7x - 9 = 69", "Add 9 to both sides: 7x = 78", "Divide both sides by 7: x = 78/7"], "final_answer": "78/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 13) + 82 = 69", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 13, \"c\": 82, \"d\": 69}", "seed": "4013701357246218237", "semantic_fingerprint": "sha256:d29c2e0cef8f7032bfe04b85d160ab04d144b7a3fe528a5b31abc5d25c2c3dd4", "generator_version": "3.0"}
{"id": "v3_val_00006469", "prompt": "Solve for x: 10(x + 1) = 9(x - 45)", "solution_steps": ["Expand: 10x + 10 = 9(x - 45)", "Expand: 10x + 10 = 9x - 405", "Subtract 9x from both sides: x + 10 = -405", "Subtract 10 from both sides: x = -415"], "final_answer": "-415", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 1) = 9(x - 45)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 9, \"d\": 45}", "seed": "4078342693809636581", "semantic_fingerprint": "sha256:7b006c90ed5ca53dcb8408feac1da86bd3947c31df357f9c1c83ceb41839029f", "generator_version": "3.0"}
{"id": "v3_val_00006470", "prompt": "Compute: -9 + 849", "solution_steps": ["Add: -9 + 849 = 840"], "final_answer": "840", "answer_type": "integer", "kind": "expression", "math_text": "-9 + 849", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 849}", "seed": "9018329723755763963", "semantic_fingerprint": "sha256:4dfbc1221d9c31312bbb87da2d7ae9685a5961b38ff7c7b1aa231ec05d14eb12", "generator_version": "3.0"}
{"id": "v3_val_00006471", "prompt": "Calculate: 75 / (-75 / 635 - 0)", "solution_steps": ["Divide: -75 / 635 = -15/127", "Subtract: -15/127 - 0 = -15/127", "Divide: 75 / (-15/127) = -635"], "final_answer": "-635", "answer_type": "integer", "kind": "expression", "math_text": "75 / (-75 / 635 - 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -75, \"c\": 635, \"d\": 0}", "seed": "5205471170170790452", "semantic_fingerprint": "sha256:dca5317f0a874782c369576d09c9632e79ead0cc0600f547213e76e16e8e8c04", "generator_version": "3.0"}
{"id": "v3_val_00006472", "prompt": "Solve for x: x - 77 = 11(x + 3) - 230", "solution_steps": ["Expand: x - 77 = 11x + 33 - 230", "Combine constants: x - 77 = 11x - 197", "Subtract 11x from both sides: -10x - 77 = -197", "Add 77 to both sides: -10x = -120", "Divide both sides by -10: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 77 = 11(x + 3) - 230", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 11, \"c\": 3, \"e\": -230, \"x\": 12}", "seed": "1441142047588649287", "semantic_fingerprint": "sha256:0b7b99630ff300157d2241cda40dec11f7e70f8c0c4178348c580d5503b85357", "generator_version": "3.0"}
{"id": "v3_val_00006473", "prompt": "What is -5 - (783 + (-52)) - 379?", "solution_steps": ["Add: 783 + (-52) = 731", "Subtract: -5 - 731 = -736", "Subtract: -736 - 379 = -1115"], "final_answer": "-1115", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (783 + (-52)) - 379", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 783, \"c\": -52, \"d\": 379}", "seed": "11809969140574627644", "semantic_fingerprint": "sha256:37de0194ec7d5fbe354c847e24acfc32363879f17ba01484170b894741117a27", "generator_version": "3.0"}
{"id": "v3_val_00006474", "prompt": "Calculate: -248 / (96 + (-6) - 0)", "solution_steps": ["Add: 96 + (-6) = 90", "Subtract: 90 - 0 = 90", "Divide: -248 / 90 = -124/45"], "final_answer": "-124/45", "answer_type": "rational", "kind": "expression", "math_text": "-248 / (96 + (-6) - 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -248, \"b\": 96, \"c\": -6, \"d\": 0}", "seed": "12579340164357382993", "semantic_fingerprint": "sha256:ac417131f5258d7ac76420ddfd16b77541f6eee03247f216026f3e638d99bf35", "generator_version": "3.0"}
{"id": "v3_val_00006475", "prompt": "Evaluate: -92 - 701 - (313 - 39) * 924", "solution_steps": ["Subtract: -92 - 701 = -793", "Subtract: 313 - 39 = 274", "Multiply: 274 * 924 = 253176", "Subtract: -793 - 253176 = -253969"], "final_answer": "-253969", "answer_type": "integer", "kind": "expression", "math_text": "-92 - 701 - (313 - 39) * 924", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 701, \"c\": 313, \"d\": 39, \"e\": 924}", "seed": "13801140995142842493", "semantic_fingerprint": "sha256:746914e151593613f09e187ebc61da05eed60d010df5e4740f922f6495f5543d", "generator_version": "3.0"}
{"id": "v3_val_00006476", "prompt": "Solve for x: x + 2 = 10(x + 826)", "solution_steps": ["Expand: x + 2 = 10x + 8260", "Subtract 10x from both sides: -9x + 2 = 8260", "Subtract 2 from both sides: -9x = 8258", "Divide both sides by -9: x = -8258/9"], "final_answer": "-8258/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2 = 10(x + 826)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"c\": 826}", "seed": "3283854223094387550", "semantic_fingerprint": "sha256:15b287391da1d0d8fcc11e0cec0ffab563e4cc9d0084971c6144ae080ae77075", "generator_version": "3.0"}
{"id": "v3_val_00006477", "prompt": "What is 0 / (-92) - (751 / (-697) + (-58 + (-53)))?", "solution_steps": ["Divide: 0 / (-92) = 0", "Divide: 751 / (-697) = -751/697", "Add: -58 + (-53) = -111", "Add: -751/697 + (-111) = -78118/697", "Subtract: 0 - (-78118/697) = 78118/697"], "final_answer": "78118/697", "answer_type": "rational", "kind": "expression", "math_text": "0 / (-92) - (751 / (-697) + (-58 + (-53)))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ (/ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -92, \"c\": 751, \"d\": -697, \"e\": -58, \"f\": -53}", "seed": "13311476603848220758", "semantic_fingerprint": "sha256:18a553007ba24002321b3d072508ab97e475815cf179c7dd04502c97d74c66cf", "generator_version": "3.0"}
{"id": "v3_val_00006478", "prompt": "Solve the equation -8(x + 53) + 379 = x for x.", "solution_steps": ["Expand: -8x - 424 + 379 = x", "Combine constants: -8x - 45 = x", "Subtract x from both sides: -9x - 45 = 0", "Add 45 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 + 53) + 379 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 53, \"d\": 379, \"x\": -5}", "seed": "3204202512398382906", "semantic_fingerprint": "sha256:57e0923e3796880db60113c7b0e03a53b438686a83f86b4bcb3443862478b8cf", "generator_version": "3.0"}
{"id": "v3_val_00006479", "prompt": "Calculate: -3 / (-16) + 73", "solution_steps": ["Divide: -3 / (-16) = 3/16", "Add: 3/16 + 73 = 1171/16"], "final_answer": "1171/16", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-16) + 73", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -16, \"c\": 73}", "seed": "14662342212704647319", "semantic_fingerprint": "sha256:93c596175788ac226df840544b3f74ce0d10a25dde9f0489557d110ed901b7b5", "generator_version": "3.0"}
{"id": "v3_val_00006480", "prompt": "Calculate: -1 + (-97)", "solution_steps": ["Add: -1 + (-97) = -98"], "final_answer": "-98", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-97)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -97}", "seed": "5814648626417518762", "semantic_fingerprint": "sha256:35fa272a4f5bc647be691190b8a6915c574f5c0a06668900be1a75ec35fbff2d", "generator_version": "3.0"}
{"id": "v3_val_00006481", "prompt": "Compute: 18 * (24 / 9) - (-857)", "solution_steps": ["Divide: 24 / 9 = 8/3", "Multiply: 18 * (8/3) = 48", "Subtract: 48 - (-857) = 905"], "final_answer": "905", "answer_type": "integer", "kind": "expression", "math_text": "18 * (24 / 9) - (-857)", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 24, \"c\": 9, \"d\": -857}", "seed": "12952800622587616990", "semantic_fingerprint": "sha256:bcd18bbb9d45fab1d485eeb06c0ed2a05f1865f68ddbacbe0ed8d05d153b7f4b", "generator_version": "3.0"}
{"id": "v3_val_00006482", "prompt": "Solve the equation 2x = 7x for x.", "solution_steps": ["Subtract 7x from both sides: -5x = 0", "Divide both sides by -5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 7x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7}", "seed": "6869458291951786394", "semantic_fingerprint": "sha256:66350b89e81c8eff3fc963c24f889bf6ee8311ae8427c6ccf20883fbd5c46c9e", "generator_version": "3.0"}
{"id": "v3_val_00006483", "prompt": "Compute: (3 + (-41)) / (-5)", "solution_steps": ["Add: 3 + (-41) = -38", "Divide: -38 / (-5) = 38/5"], "final_answer": "38/5", "answer_type": "rational", "kind": "expression", "math_text": "(3 + (-41)) / (-5)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -41, \"c\": -5}", "seed": "8915434968015115529", "semantic_fingerprint": "sha256:d706aa6451950fb65e14e4c33fb6c99d4ec0856702a05ccecc500d85bd89c5dc", "generator_version": "3.0"}
{"id": "v3_val_00006484", "prompt": "Compute: (47 - (-5)) * (-68) - (-438)", "solution_steps": ["Subtract: 47 - (-5) = 52", "Multiply: 52 * (-68) = -3536", "Subtract: -3536 - (-438) = -3098"], "final_answer": "-3098", "answer_type": "integer", "kind": "expression", "math_text": "(47 - (-5)) * (-68) - (-438)", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -5, \"c\": -68, \"d\": -438}", "seed": "7026612793825783790", "semantic_fingerprint": "sha256:3ff4e104095dad5fde8da596380934096b0b622fb45ec0256748c90746e3cc0e", "generator_version": "3.0"}
{"id": "v3_val_00006485", "prompt": "Evaluate: 324 * 4 * (57 - 95 / 1 / 80)", "solution_steps": ["Multiply: 324 * 4 = 1296", "Divide: 95 / 1 = 95", "Divide: 95 / 80 = 19/16", "Subtract: 57 - 19/16 = 893/16", "Multiply: 1296 * (893/16) = 72333"], "final_answer": "72333", "answer_type": "integer", "kind": "expression", "math_text": "324 * 4 * (57 - 95 / 1 / 80)", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (- n (/ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 324, \"b\": 4, \"c\": 57, \"d\": 95, \"e\": 1, \"f\": 80}", "seed": "146232894534533849", "semantic_fingerprint": "sha256:3ac6fae39102254270839fbed1ed586fdf9f4a1ea5d60eb89f5d9348f2297a85", "generator_version": "3.0"}
{"id": "v3_val_00006486", "prompt": "Find x: 11(x - 34) = 8x", "solution_steps": ["Expand: 11x - 374 = 8x", "Subtract 8x from both sides: 3x - 374 = 0", "Add 374 to both sides: 3x = 374", "Divide both sides by 3: x = 374/3"], "final_answer": "374/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 34) = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 34, \"c\": 8}", "seed": "89090443133856172", "semantic_fingerprint": "sha256:feaa48dd195068fd527635ca50c1656bd34da14c655b85245f5612e6b057954c", "generator_version": "3.0"}
{"id": "v3_val_00006487", "prompt": "Compute: 7 - (-19 - (-7))", "solution_steps": ["Subtract: -19 - (-7) = -12", "Subtract: 7 - (-12) = 19"], "final_answer": "19", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-19 - (-7))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -19, \"c\": -7}", "seed": "12432151025013498490", "semantic_fingerprint": "sha256:e4eac17223731585d99ae9d82aadca89aec2a2b58167b246c39443f38df5747f", "generator_version": "3.0"}
{"id": "v3_val_00006488", "prompt": "Calculate: 542 * 49 * 0", "solution_steps": ["Multiply: 542 * 49 = 26558", "Multiply: 26558 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "542 * 49 * 0", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 542, \"b\": 49, \"c\": 0}", "seed": "12322946195941131138", "semantic_fingerprint": "sha256:5fa9ce87b9b50edfddcec058c84147c90d60de8f7f7039e64deeb395cde8ac53", "generator_version": "3.0"}
{"id": "v3_val_00006489", "prompt": "What value of x satisfies 3x + 615 = x + 579?", "solution_steps": ["Subtract x from both sides: 2x + 615 = 579", "Subtract 615 from both sides: 2x = -36", "Divide both sides by 2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 615 = x + 579", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 615, \"d\": 579, \"x\": -18}", "seed": "4698505900073771908", "semantic_fingerprint": "sha256:8fda32c1de59e5613fb9564a49ea59bf9abfb346fa725b8d4fb276145bdbad1e", "generator_version": "3.0"}
{"id": "v3_val_00006490", "prompt": "Compute: 38 / (99 - (-72))", "solution_steps": ["Subtract: 99 - (-72) = 171", "Divide: 38 / 171 = 2/9"], "final_answer": "2/9", "answer_type": "rational", "kind": "expression", "math_text": "38 / (99 - (-72))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 99, \"c\": -72}", "seed": "2447523878712657300", "semantic_fingerprint": "sha256:d580af462d7b28c76e219f8fac802fe340d532108f40b5caf8c0200f54abe1c2", "generator_version": "3.0"}
{"id": "v3_val_00006491", "prompt": "Evaluate: -4 * 5 / (-2 * (701 - 5) - (-51))", "solution_steps": ["Multiply: -4 * 5 = -20", "Subtract: 701 - 5 = 696", "Multiply: -2 * 696 = -1392", "Subtract: -1392 - (-51) = -1341", "Divide: -20 / (-1341) = 20/1341"], "final_answer": "20/1341", "answer_type": "rational", "kind": "expression", "math_text": "-4 * 5 / (-2 * (701 - 5) - (-51))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (- (* n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": -2, \"d\": 701, \"e\": 5, \"f\": -51}", "seed": "3908609072736192467", "semantic_fingerprint": "sha256:ae528b1f7c8e53cfb7d48fdf8ab3e6825f9f23df2bbcea43d8cbfbf65ddde147", "generator_version": "3.0"}
{"id": "v3_val_00006492", "prompt": "Calculate: (-80 + 0) / (-1)", "solution_steps": ["Add: -80 + 0 = -80", "Divide: -80 / (-1) = 80"], "final_answer": "80", "answer_type": "integer", "kind": "expression", "math_text": "(-80 + 0) / (-1)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 0, \"c\": -1}", "seed": "13135709990400198015", "semantic_fingerprint": "sha256:d100eebbb51b186a603d60f6ff9741e864d83c53e46e84a4d7ca4e6e14a857cb", "generator_version": "3.0"}
{"id": "v3_val_00006493", "prompt": "Solve for x: 2x - 214 = x - 5", "solution_steps": ["Subtract x from both sides: x - 214 = -5", "Add 214 to both sides: x = 209"], "final_answer": "209", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 214 = x - 5", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 214, \"c\": 5}", "seed": "4320807087442910626", "semantic_fingerprint": "sha256:e83a9cfe15172abf14ce882e78d4c6166a6c32ac2fafbcafc1da802a9d19ca13", "generator_version": "3.0"}
{"id": "v3_val_00006494", "prompt": "Solve the equation -3x = x + 16 for x.", "solution_steps": ["Subtract x from both sides: -4x = 16", "Divide both sides by -4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = x + 16", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"c\": 16, \"x\": -4}", "seed": "6154956861593433863", "semantic_fingerprint": "sha256:b47f6e8bb13405628e82f0aff95799c9d7c374e3f4fac43d8ccd7720b96f1e64", "generator_version": "3.0"}
{"id": "v3_val_00006495", "prompt": "Solve for x: 5(x + 66) - 84 = 11x + 144", "solution_steps": ["Expand: 5x + 330 - 84 = 11x + 144", "Combine constants: 5x + 246 = 11x + 144", "Subtract 11x from both sides: -6x + 246 = 144", "Subtract 246 from both sides: -6x = -102", "Divide both sides by -6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 66) - 84 = 11x + 144", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 66, \"c\": 84, \"d\": 11, \"f\": 144, \"x\": 17}", "seed": "6193811400570112194", "semantic_fingerprint": "sha256:e9315d62db310a55e588cc0b56ed884b9ae6e60a5f1d29009b9a43febc0e80e5", "generator_version": "3.0"}
{"id": "v3_val_00006496", "prompt": "Calculate: -24 * (-68 / (-90)) + (-78)", "solution_steps": ["Divide: -68 / (-90) = 34/45", "Multiply: -24 * (34/45) = -272/15", "Add: -272/15 + (-78) = -1442/15"], "final_answer": "-1442/15", "answer_type": "rational", "kind": "expression", "math_text": "-24 * (-68 / (-90)) + (-78)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -68, \"c\": -90, \"d\": -78}", "seed": "12423559335587057491", "semantic_fingerprint": "sha256:d831f8a2f1f9b9f412e937250fecba1a3901e0fa1875d65c1f2889f82abe2777", "generator_version": "3.0"}
{"id": "v3_val_00006497", "prompt": "What is 51 + (719 + (-4 + 805))?", "solution_steps": ["Add: -4 + 805 = 801", "Add: 719 + 801 = 1520", "Add: 51 + 1520 = 1571"], "final_answer": "1571", "answer_type": "integer", "kind": "expression", "math_text": "51 + (719 + (-4 + 805))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 719, \"c\": -4, \"d\": 805}", "seed": "5286723024697091115", "semantic_fingerprint": "sha256:12c751a5bad2c3c46de2e82b980880684e547d9d4aeef65d822ced17c6f1f40b", "generator_version": "3.0"}
{"id": "v3_val_00006498", "prompt": "Evaluate: -64 * 610 - 65", "solution_steps": ["Multiply: -64 * 610 = -39040", "Subtract: -39040 - 65 = -39105"], "final_answer": "-39105", "answer_type": "integer", "kind": "expression", "math_text": "-64 * 610 - 65", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 610, \"c\": 65}", "seed": "15807824210582472383", "semantic_fingerprint": "sha256:cc71cd89c86773e5eeebfff32a3105e857be3e7838868ffb6ca1869eded4fe37", "generator_version": "3.0"}
{"id": "v3_val_00006499", "prompt": "Find x: x = 5(x + 2)", "solution_steps": ["Expand: x = 5x + 10", "Subtract 5x from both sides: -4x = 10", "Divide both sides by -4: x = -5/2"], "final_answer": "-5/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 5(x + 2)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2}", "seed": "17288384973463755389", "semantic_fingerprint": "sha256:72ac57f35930340d0881dc1bedbe0898dccb63b18633267732a5871b36e2c517", "generator_version": "3.0"}
{"id": "v3_val_00006500", "prompt": "What is 66 - (6 + (-650) / 262)?", "solution_steps": ["Divide: -650 / 262 = -325/131", "Add: 6 + (-325/131) = 461/131", "Subtract: 66 - 461/131 = 8185/131"], "final_answer": "8185/131", "answer_type": "rational", "kind": "expression", "math_text": "66 - (6 + (-650) / 262)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 6, \"c\": -650, \"d\": 262}", "seed": "11738162760273358261", "semantic_fingerprint": "sha256:5d92ddb27ec696c896f134445911f414bd72ffd00ce181bc202d9130b0a766ab", "generator_version": "3.0"}
{"id": "v3_val_00006501", "prompt": "Evaluate: -91 - 9", "solution_steps": ["Subtract: -91 - 9 = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "expression", "math_text": "-91 - 9", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 9}", "seed": "4203116160894876525", "semantic_fingerprint": "sha256:5d803c377b6f6d0a53c08f2e3518f0e38b6c8a40687a7e4d9c75211ad43a835c", "generator_version": "3.0"}
{"id": "v3_val_00006502", "prompt": "Evaluate: 3 / (-191 * (-4))", "solution_steps": ["Multiply: -191 * (-4) = 764", "Divide: 3 / 764 = 3/764"], "final_answer": "3/764", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-191 * (-4))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -191, \"c\": -4}", "seed": "18228739544361050544", "semantic_fingerprint": "sha256:d408c624fd0ee6ba032702d88ef52bda7011e584e20802aed939f5ea6880d02b", "generator_version": "3.0"}
{"id": "v3_val_00006503", "prompt": "What is 6 + (-43) + (0 - (-864))?", "solution_steps": ["Add: 6 + (-43) = -37", "Subtract: 0 - (-864) = 864", "Add: -37 + 864 = 827"], "final_answer": "827", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-43) + (0 - (-864))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -43, \"c\": 0, \"d\": -864}", "seed": "1107764856999135978", "semantic_fingerprint": "sha256:210fec953467aef27daaabeda7d7d31f61d64fe9582f129f265469ae63c26c45", "generator_version": "3.0"}
{"id": "v3_val_00006504", "prompt": "What value of x satisfies -4(x + 5) + 7 = 5(x - 2) + 42?", "solution_steps": ["Expand: -4x - 20 + 7 = 5(x - 2) + 42", "Expand: -4x - 20 + 7 = 5x - 10 + 42", "Combine constants: -4x - 13 = 5x - 10 + 42", "Combine constants: -4x - 13 = 5x + 32", "Subtract 5x from both sides: -9x - 13 = 32", "Add 13 to both sides: -9x = 45", "Divide both sides by -9: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 5) + 7 = 5(x - 2) + 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\": 5, \"c\": 7, \"d\": 5, \"e\": 2, \"g\": 42, \"x\": -5}", "seed": "123934838769557628", "semantic_fingerprint": "sha256:8c3e08b78c68a3eaa64c9ac71d178ca67c3d6703bdea94f7a51fe6f8ccb04727", "generator_version": "3.0"}
{"id": "v3_val_00006505", "prompt": "Calculate: (-52 - (-338 - 33 + (2 + 59))) * 373", "solution_steps": ["Subtract: -338 - 33 = -371", "Add: 2 + 59 = 61", "Add: -371 + 61 = -310", "Subtract: -52 - (-310) = 258", "Multiply: 258 * 373 = 96234"], "final_answer": "96234", "answer_type": "integer", "kind": "expression", "math_text": "(-52 - (-338 - 33 + (2 + 59))) * 373", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ (- n n) (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -338, \"c\": 33, \"d\": 2, \"e\": 59, \"f\": 373}", "seed": "9958518929643979260", "semantic_fingerprint": "sha256:5f0f48aab9e2a78944212a185b692be9a5bcd54544882aea346eefb5563a8c6f", "generator_version": "3.0"}
{"id": "v3_val_00006506", "prompt": "Compute: -10 * (-71) * 34 + 78", "solution_steps": ["Multiply: -10 * (-71) = 710", "Multiply: 710 * 34 = 24140", "Add: 24140 + 78 = 24218"], "final_answer": "24218", "answer_type": "integer", "kind": "expression", "math_text": "-10 * (-71) * 34 + 78", "variable": null, "family": "expression_3op", "shape": "(+ (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -71, \"c\": 34, \"d\": 78}", "seed": "3428254526481242500", "semantic_fingerprint": "sha256:d988b3f45d90bad8a2cfc044c3ddb0e7c891ac284a8b5a41dc6be0096de094de", "generator_version": "3.0"}
{"id": "v3_val_00006507", "prompt": "Solve for x: 4(x - 27) - 497 = x - 9", "solution_steps": ["Expand: 4x - 108 - 497 = x - 9", "Combine constants: 4x - 605 = x - 9", "Subtract x from both sides: 3x - 605 = -9", "Add 605 to both sides: 3x = 596", "Divide both sides by 3: x = 596/3"], "final_answer": "596/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 27) - 497 = x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 27, \"c\": 497, \"d\": 9}", "seed": "1463264401075804624", "semantic_fingerprint": "sha256:9ae418e8a66acd37873982be69ca7e8d0362149ae174b3809641a2f77c287016", "generator_version": "3.0"}
{"id": "v3_val_00006508", "prompt": "Calculate: -60 + (-16) / (3 + 63)", "solution_steps": ["Add: 3 + 63 = 66", "Divide: -16 / 66 = -8/33", "Add: -60 + (-8/33) = -1988/33"], "final_answer": "-1988/33", "answer_type": "rational", "kind": "expression", "math_text": "-60 + (-16) / (3 + 63)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -16, \"c\": 3, \"d\": 63}", "seed": "4373876216663182353", "semantic_fingerprint": "sha256:e2ad06ca581725dd20b04b304a844db402654bb90612ac49c75cec3f2eb6696d", "generator_version": "3.0"}
{"id": "v3_val_00006509", "prompt": "Compute: 0 * (200 / (-57)) - (-338)", "solution_steps": ["Divide: 200 / (-57) = -200/57", "Multiply: 0 * (-200/57) = 0", "Subtract: 0 - (-338) = 338"], "final_answer": "338", "answer_type": "integer", "kind": "expression", "math_text": "0 * (200 / (-57)) - (-338)", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 200, \"c\": -57, \"d\": -338}", "seed": "11796452713285019513", "semantic_fingerprint": "sha256:175419397db8ba5c8c1ca6d65b7293fa0bea22ad8ee7613ea1eabe2a659676b6", "generator_version": "3.0"}
{"id": "v3_val_00006510", "prompt": "What is -3 * (237 + (-6)) / (-49)?", "solution_steps": ["Add: 237 + (-6) = 231", "Multiply: -3 * 231 = -693", "Divide: -693 / (-49) = 99/7"], "final_answer": "99/7", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (237 + (-6)) / (-49)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 237, \"c\": -6, \"d\": -49}", "seed": "3642830391694931646", "semantic_fingerprint": "sha256:fdaa28fda41dcdbbd2495b71045110a2dc9a57d72ea38b084e52ef910ac1e8ef", "generator_version": "3.0"}
{"id": "v3_val_00006511", "prompt": "Calculate: 0 / (330 - 75)", "solution_steps": ["Subtract: 330 - 75 = 255", "Divide: 0 / 255 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (330 - 75)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 330, \"c\": 75}", "seed": "2438141756642935511", "semantic_fingerprint": "sha256:819facbf2b864754dc3e98e451e0affe0479467f17d597766ae4083e9b53e149", "generator_version": "3.0"}
{"id": "v3_val_00006512", "prompt": "Evaluate: -46 - (504 + 0 * (-892))", "solution_steps": ["Multiply: 0 * (-892) = 0", "Add: 504 + 0 = 504", "Subtract: -46 - 504 = -550"], "final_answer": "-550", "answer_type": "integer", "kind": "expression", "math_text": "-46 - (504 + 0 * (-892))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 504, \"c\": 0, \"d\": -892}", "seed": "7443563363113123958", "semantic_fingerprint": "sha256:6edf6bad9a73f1a60dc8c7fda230c800f421419d671ef8a547dc4fa7337ce21c", "generator_version": "3.0"}
{"id": "v3_val_00006513", "prompt": "Evaluate: -2 * (-7)", "solution_steps": ["Multiply: -2 * (-7) = 14"], "final_answer": "14", "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": "3645467936422875167", "semantic_fingerprint": "sha256:a075d34ee3c694c4892748fec7f9fad48e1dbc998c5c6aefd4e357a4b6f8cb14", "generator_version": "3.0"}
{"id": "v3_val_00006514", "prompt": "Solve for x: 10(x - 9) = 8x", "solution_steps": ["Expand: 10x - 90 = 8x", "Subtract 8x from both sides: 2x - 90 = 0", "Add 90 to both sides: 2x = 90", "Divide both sides by 2: x = 45"], "final_answer": "45", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 9) = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 8}", "seed": "2035476123202114289", "semantic_fingerprint": "sha256:88889092d7a0a1d7f275ab8f9ed76f8685d8033365a2c9452c9cdabacc178784", "generator_version": "3.0"}
{"id": "v3_val_00006515", "prompt": "Evaluate: -498 + (-9) * (-6)", "solution_steps": ["Multiply: -9 * (-6) = 54", "Add: -498 + 54 = -444"], "final_answer": "-444", "answer_type": "integer", "kind": "expression", "math_text": "-498 + (-9) * (-6)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -498, \"b\": -9, \"c\": -6}", "seed": "16206667875021568702", "semantic_fingerprint": "sha256:d952019470d7380cf487e9b619a505d229c0d315205abd806af1be8a6f235c81", "generator_version": "3.0"}
{"id": "v3_val_00006516", "prompt": "Solve the equation x + 75 = -2x - 552 for x.", "solution_steps": ["Add 2x to both sides: 3x + 75 = -552", "Subtract 75 from both sides: 3x = -627", "Divide both sides by 3: x = -209"], "final_answer": "-209", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 75 = -2x - 552", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -2, \"c\": 552}", "seed": "11841812986628088489", "semantic_fingerprint": "sha256:349198fec614de41d48cfca394e2f32914da5f024ce8def820cd8bbe0cfa2a62", "generator_version": "3.0"}
{"id": "v3_val_00006517", "prompt": "Solve for x: x - 116 = 9(x + 4)", "solution_steps": ["Expand: x - 116 = 9x + 36", "Subtract 9x from both sides: -8x - 116 = 36", "Add 116 to both sides: -8x = 152", "Divide both sides by -8: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 116 = 9(x + 4)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"d\": -116, \"x\": -19}", "seed": "16967867963133272861", "semantic_fingerprint": "sha256:dd1cae11b5b76b9d00b4491ffe99e15fcb00402e23e23dd800b5687469a76bf1", "generator_version": "3.0"}
{"id": "v3_val_00006518", "prompt": "Calculate: -24 + (-262) - (987 / (-48 - (-38)) - (-207))", "solution_steps": ["Add: -24 + (-262) = -286", "Subtract: -48 - (-38) = -10", "Divide: 987 / (-10) = -987/10", "Subtract: -987/10 - (-207) = 1083/10", "Subtract: -286 - 1083/10 = -3943/10"], "final_answer": "-3943/10", "answer_type": "rational", "kind": "expression", "math_text": "-24 + (-262) - (987 / (-48 - (-38)) - (-207))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (/ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -262, \"c\": 987, \"d\": -48, \"e\": -38, \"f\": -207}", "seed": "1250250935233344991", "semantic_fingerprint": "sha256:c9dbf938543b80e2162b012dc3c3c1287410ae481663af484c2c4b55bdaaf23e", "generator_version": "3.0"}
{"id": "v3_val_00006519", "prompt": "Evaluate: -875 / (-113) - 12", "solution_steps": ["Divide: -875 / (-113) = 875/113", "Subtract: 875/113 - 12 = -481/113"], "final_answer": "-481/113", "answer_type": "rational", "kind": "expression", "math_text": "-875 / (-113) - 12", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -875, \"b\": -113, \"c\": 12}", "seed": "14277155392528913267", "semantic_fingerprint": "sha256:094784612f15f456fe4d9de6179e089d44c90531efb1184ba099e27875bce77a", "generator_version": "3.0"}
{"id": "v3_val_00006520", "prompt": "Calculate: -54 + 480", "solution_steps": ["Add: -54 + 480 = 426"], "final_answer": "426", "answer_type": "integer", "kind": "expression", "math_text": "-54 + 480", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 480}", "seed": "8297175608187680825", "semantic_fingerprint": "sha256:3b368c54fbccad7a801c80e410d51c95503d5b6dadff316e30d1635a481cf739", "generator_version": "3.0"}
{"id": "v3_val_00006521", "prompt": "Evaluate: 619 * (-1) + (-6)", "solution_steps": ["Multiply: 619 * (-1) = -619", "Add: -619 + (-6) = -625"], "final_answer": "-625", "answer_type": "integer", "kind": "expression", "math_text": "619 * (-1) + (-6)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 619, \"b\": -1, \"c\": -6}", "seed": "2418024613522983423", "semantic_fingerprint": "sha256:7c0104f4a8e0063ca8e8d6c04e24bc792e63eb9b347f67c2c42e7158fbd607ed", "generator_version": "3.0"}
{"id": "v3_val_00006522", "prompt": "What value of x satisfies 4x + 266 = x + 266?", "solution_steps": ["Subtract x from both sides: 3x + 266 = 266", "Subtract 266 from both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 266 = x + 266", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 266, \"d\": 266, \"x\": 0}", "seed": "15537489995675387629", "semantic_fingerprint": "sha256:ddb7b2ac5b7e70053db4878ac621f19fc196532ac6d0832f2babf7a0bf7fa376", "generator_version": "3.0"}
{"id": "v3_val_00006523", "prompt": "Compute: 479 + 0", "solution_steps": ["Add: 479 + 0 = 479"], "final_answer": "479", "answer_type": "integer", "kind": "expression", "math_text": "479 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 479, \"b\": 0}", "seed": "1433119375907853045", "semantic_fingerprint": "sha256:74f5f147093c38a91a22141f081874726c6e47a836acb6c41045667312332632", "generator_version": "3.0"}
{"id": "v3_val_00006524", "prompt": "Calculate: 92 + 57 + (-6 + (-375)) * 60 / (-733)", "solution_steps": ["Add: 92 + 57 = 149", "Add: -6 + (-375) = -381", "Multiply: -381 * 60 = -22860", "Divide: -22860 / (-733) = 22860/733", "Add: 149 + 22860/733 = 132077/733"], "final_answer": "132077/733", "answer_type": "rational", "kind": "expression", "math_text": "92 + 57 + (-6 + (-375)) * 60 / (-733)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (/ (* (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 57, \"c\": -6, \"d\": -375, \"e\": 60, \"f\": -733}", "seed": "15707881842996558215", "semantic_fingerprint": "sha256:e5518e19d4f50ba7fec7d5aa8623dbb83ad12aeb8d78425cbfc3d072014223aa", "generator_version": "3.0"}
{"id": "v3_val_00006525", "prompt": "Compute: (330 - (287 + (-77))) * 834 - (-156) / 52", "solution_steps": ["Add: 287 + (-77) = 210", "Subtract: 330 - 210 = 120", "Multiply: 120 * 834 = 100080", "Divide: -156 / 52 = -3", "Subtract: 100080 - (-3) = 100083"], "final_answer": "100083", "answer_type": "integer", "kind": "expression", "math_text": "(330 - (287 + (-77))) * 834 - (-156) / 52", "variable": null, "family": "expression_5op", "shape": "(- (* (- n (+ n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 330, \"b\": 287, \"c\": -77, \"d\": 834, \"e\": -156, \"f\": 52}", "seed": "8746589000883011166", "semantic_fingerprint": "sha256:f3e8a9cef146e69f1eda46f66f920722d90c4c9d10f25ae8fd5f9380fdb1c27d", "generator_version": "3.0"}
{"id": "v3_val_00006526", "prompt": "Solve the equation -9x = -63 for x.", "solution_steps": ["Divide both sides by -9: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = -63", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"c\": -63, \"x\": 7}", "seed": "3556491100272164013", "semantic_fingerprint": "sha256:715b38a2e6cb75fee6b6cf00dfb6f4dbfed7541e837eb8681ec54c61892732ac", "generator_version": "3.0"}
{"id": "v3_val_00006527", "prompt": "What is -7 / 545 / (-8)?", "solution_steps": ["Divide: -7 / 545 = -7/545", "Divide: (-7/545) / (-8) = 7/4360"], "final_answer": "7/4360", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 545 / (-8)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 545, \"c\": -8}", "seed": "13283876147979441837", "semantic_fingerprint": "sha256:7b7b083cc5eda30c758db844ca788b632809fc2a26d0d970aedc0b35709f1cdd", "generator_version": "3.0"}
{"id": "v3_val_00006528", "prompt": "What value of x satisfies 3x - 474 = -4(x + 38)?", "solution_steps": ["Expand: 3x - 474 = -4x - 152", "Add 4x to both sides: 7x - 474 = -152", "Add 474 to both sides: 7x = 322", "Divide both sides by 7: x = 46"], "final_answer": "46", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 474 = -4(x + 38)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 474, \"c\": -4, \"d\": 38}", "seed": "7490243445714833478", "semantic_fingerprint": "sha256:d73d9dbbafd56ab6b00dd9d4db9543bdbf00385c73c41e2a8159a3600e0b5ee3", "generator_version": "3.0"}
{"id": "v3_val_00006529", "prompt": "What is (-307 - 48) / (-2 - (-2) * 16 + 7)?", "solution_steps": ["Subtract: -307 - 48 = -355", "Multiply: -2 * 16 = -32", "Subtract: -2 - (-32) = 30", "Add: 30 + 7 = 37", "Divide: -355 / 37 = -355/37"], "final_answer": "-355/37", "answer_type": "rational", "kind": "expression", "math_text": "(-307 - 48) / (-2 - (-2) * 16 + 7)", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (+ (- n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -307, \"b\": 48, \"c\": -2, \"d\": -2, \"e\": 16, \"f\": 7}", "seed": "3943204224964055881", "semantic_fingerprint": "sha256:e79b93e14d4736b8c7d398d50e3d79144fba6628fca3b34d80aee9573328a7ce", "generator_version": "3.0"}
{"id": "v3_val_00006530", "prompt": "What is 249 * (-8)?", "solution_steps": ["Multiply: 249 * (-8) = -1992"], "final_answer": "-1992", "answer_type": "integer", "kind": "expression", "math_text": "249 * (-8)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 249, \"b\": -8}", "seed": "11040278082041128464", "semantic_fingerprint": "sha256:3ef3a9a01b3edd85849a49c5b5d72f1347ca098867eb52cd22a7299d6f7bec67", "generator_version": "3.0"}
{"id": "v3_val_00006531", "prompt": "Find x: 5(x - 2) = -6(x + 9) + 99", "solution_steps": ["Expand: 5x - 10 = -6(x + 9) + 99", "Expand: 5x - 10 = -6x - 54 + 99", "Combine constants: 5x - 10 = -6x + 45", "Add 6x to both sides: 11x - 10 = 45", "Add 10 to both sides: 11x = 55", "Divide both sides by 11: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 2) = -6(x + 9) + 99", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": -6, \"d\": 9, \"f\": 99, \"x\": 5}", "seed": "10125516244607062335", "semantic_fingerprint": "sha256:f8412a87f2f0bac67e5071b8499d46d933796a154263e53e1315a0630d42c010", "generator_version": "3.0"}
{"id": "v3_val_00006532", "prompt": "Calculate: -23 / (-208) - (-612 - (-57 + 2)) - (-3)", "solution_steps": ["Divide: -23 / (-208) = 23/208", "Add: -57 + 2 = -55", "Subtract: -612 - (-55) = -557", "Subtract: 23/208 - (-557) = 115879/208", "Subtract: 115879/208 - (-3) = 116503/208"], "final_answer": "116503/208", "answer_type": "rational", "kind": "expression", "math_text": "-23 / (-208) - (-612 - (-57 + 2)) - (-3)", "variable": null, "family": "expression_5op", "shape": "(- (- (/ n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -208, \"c\": -612, \"d\": -57, \"e\": 2, \"f\": -3}", "seed": "1341464020407154642", "semantic_fingerprint": "sha256:5f2a3bebd6c90ae6d17627c170e8c7cf4e4dfd425ff0eeb62b559c2369a92db0", "generator_version": "3.0"}
{"id": "v3_val_00006533", "prompt": "Calculate: 0 * (-556 - 91)", "solution_steps": ["Subtract: -556 - 91 = -647", "Multiply: 0 * (-647) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-556 - 91)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -556, \"c\": 91}", "seed": "3955561244508724372", "semantic_fingerprint": "sha256:d8378abe09ba17072eacda7aff81d3cb4b34f9da67fc0e29194c7486d3df4b87", "generator_version": "3.0"}
{"id": "v3_val_00006534", "prompt": "Find x: -11x + 130 = 2x", "solution_steps": ["Subtract 2x from both sides: -13x + 130 = 0", "Subtract 130 from both sides: -13x = -130", "Divide both sides by -13: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x + 130 = 2x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 2, \"d\": 130, \"x\": 10}", "seed": "9301594620358187999", "semantic_fingerprint": "sha256:67873edcf2a25b94a278009cdf1a2b71c7d4f710c5807d241dbe602b23c77fca", "generator_version": "3.0"}
{"id": "v3_val_00006535", "prompt": "Calculate: 706 - (-851) / (-26)", "solution_steps": ["Divide: -851 / (-26) = 851/26", "Subtract: 706 - 851/26 = 17505/26"], "final_answer": "17505/26", "answer_type": "rational", "kind": "expression", "math_text": "706 - (-851) / (-26)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 706, \"b\": -851, \"c\": -26}", "seed": "9898413382828253436", "semantic_fingerprint": "sha256:1543407e4912f70d3c12b4d2ce6fbfcc5bda3405a3f2414cfcbf42d10f8f2112", "generator_version": "3.0"}
{"id": "v3_val_00006536", "prompt": "What is (-1 - (-9)) / 49 * (-904 / (-1) / (-62))?", "solution_steps": ["Subtract: -1 - (-9) = 8", "Divide: 8 / 49 = 8/49", "Divide: -904 / (-1) = 904", "Divide: 904 / (-62) = -452/31", "Multiply: (8/49) * (-452/31) = -3616/1519"], "final_answer": "-3616/1519", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (-9)) / 49 * (-904 / (-1) / (-62))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -9, \"c\": 49, \"d\": -904, \"e\": -1, \"f\": -62}", "seed": "16891321227623139463", "semantic_fingerprint": "sha256:3c89984f7de26fbbfe9288d2225f49206fab1ac5db9a6876c78ff3132c5cd2b9", "generator_version": "3.0"}
{"id": "v3_val_00006537", "prompt": "What value of x satisfies 10x + 4 = 2(x - 4) - 20?", "solution_steps": ["Expand: 10x + 4 = 2x - 8 - 20", "Combine constants: 10x + 4 = 2x - 28", "Subtract 2x from both sides: 8x + 4 = -28", "Subtract 4 from both sides: 8x = -32", "Divide both sides by 8: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 4 = 2(x - 4) - 20", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 2, \"d\": 4, \"f\": -20, \"x\": -4}", "seed": "12997506706023606420", "semantic_fingerprint": "sha256:d38edd13eeeee452e8df3dc2876ad0bcfa5db6fa700dfae23111261105bdf92e", "generator_version": "3.0"}
{"id": "v3_val_00006538", "prompt": "Find x: 7(x - 69) - 94 = -32", "solution_steps": ["Expand: 7x - 483 - 94 = -32", "Combine constants: 7x - 577 = -32", "Add 577 to both sides: 7x = 545", "Divide both sides by 7: x = 545/7"], "final_answer": "545/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 69) - 94 = -32", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 69, \"c\": 94, \"d\": -32}", "seed": "2915971230201757479", "semantic_fingerprint": "sha256:1d0057c17c25843cd47e45b65c2aaf2a817fcdb12b018edfd3e59594d748eabe", "generator_version": "3.0"}
{"id": "v3_val_00006539", "prompt": "Evaluate: -93 * (-615 / (-7))", "solution_steps": ["Divide: -615 / (-7) = 615/7", "Multiply: -93 * (615/7) = -57195/7"], "final_answer": "-57195/7", "answer_type": "rational", "kind": "expression", "math_text": "-93 * (-615 / (-7))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -615, \"c\": -7}", "seed": "7532720941139199263", "semantic_fingerprint": "sha256:65aa2478852ecead8c537166ff82edfb652017804e43456f4dc85633e682256b", "generator_version": "3.0"}
{"id": "v3_val_00006540", "prompt": "Compute: -62 / (-21 - 781) * (22 - (-9))", "solution_steps": ["Subtract: -21 - 781 = -802", "Divide: -62 / (-802) = 31/401", "Subtract: 22 - (-9) = 31", "Multiply: (31/401) * 31 = 961/401"], "final_answer": "961/401", "answer_type": "rational", "kind": "expression", "math_text": "-62 / (-21 - 781) * (22 - (-9))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -21, \"c\": 781, \"d\": 22, \"e\": -9}", "seed": "15703128169193147178", "semantic_fingerprint": "sha256:5fd2cdb2032a9054c281bc17f5daff94768def100fbb39e63497f41a36432793", "generator_version": "3.0"}
{"id": "v3_val_00006541", "prompt": "What value of x satisfies 3(x + 1) - 13 = x?", "solution_steps": ["Expand: 3x + 3 - 13 = x", "Combine constants: 3x - 10 = x", "Subtract x 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": "3(x + 1) - 13 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"d\": -13, \"x\": 5}", "seed": "11800008843888762698", "semantic_fingerprint": "sha256:d21c24c48fccd3d30d39ecd45ca7280c6fc3317739ae5732e02d3116c85568c8", "generator_version": "3.0"}
{"id": "v3_val_00006542", "prompt": "Calculate: 8 - (-78)", "solution_steps": ["Subtract: 8 - (-78) = 86"], "final_answer": "86", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-78)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -78}", "seed": "14281918898132632775", "semantic_fingerprint": "sha256:c072614331f77ee2827051561446ebb95dd219084f9f98df9f19839a65a5f446", "generator_version": "3.0"}
{"id": "v3_val_00006543", "prompt": "Evaluate: 94 + (-76 - (-3))", "solution_steps": ["Subtract: -76 - (-3) = -73", "Add: 94 + (-73) = 21"], "final_answer": "21", "answer_type": "integer", "kind": "expression", "math_text": "94 + (-76 - (-3))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -76, \"c\": -3}", "seed": "13632398862042395486", "semantic_fingerprint": "sha256:aba36feedfc22fab316b32befb3749e1eec8b9308baa8656bccdb7e61aa4dde5", "generator_version": "3.0"}
{"id": "v3_val_00006544", "prompt": "What is 9 - (-7) / (-1 + 8 / 736)?", "solution_steps": ["Divide: 8 / 736 = 1/92", "Add: -1 + 1/92 = -91/92", "Divide: -7 / (-91/92) = 92/13", "Subtract: 9 - 92/13 = 25/13"], "final_answer": "25/13", "answer_type": "rational", "kind": "expression", "math_text": "9 - (-7) / (-1 + 8 / 736)", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (+ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -7, \"c\": -1, \"d\": 8, \"e\": 736}", "seed": "8663061927315982742", "semantic_fingerprint": "sha256:74e5826325cdcc87cd65493bb8c19ea7cdab749613d8b652b6912d2ebf49c37f", "generator_version": "3.0"}
{"id": "v3_val_00006545", "prompt": "Find x: 2x - 502 = -10(x + 31)", "solution_steps": ["Expand: 2x - 502 = -10x - 310", "Add 10x to both sides: 12x - 502 = -310", "Add 502 to both sides: 12x = 192", "Divide both sides by 12: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 502 = -10(x + 31)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -10, \"c\": 31, \"e\": -502, \"x\": 16}", "seed": "5859448485436333505", "semantic_fingerprint": "sha256:7c20923bd12a7e918c4b0ae3aeab596de3373c75b42fba7417164afc45391753", "generator_version": "3.0"}
{"id": "v3_val_00006546", "prompt": "What is 9 - (-850 - 445)?", "solution_steps": ["Subtract: -850 - 445 = -1295", "Subtract: 9 - (-1295) = 1304"], "final_answer": "1304", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-850 - 445)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -850, \"c\": 445}", "seed": "8808104904108290563", "semantic_fingerprint": "sha256:ff9a3d34e51c3a108188368e73635c94d74120a674c9263094488d8d1461c294", "generator_version": "3.0"}
{"id": "v3_val_00006547", "prompt": "What is 24 / (-85) - (-9)?", "solution_steps": ["Divide: 24 / (-85) = -24/85", "Subtract: -24/85 - (-9) = 741/85"], "final_answer": "741/85", "answer_type": "rational", "kind": "expression", "math_text": "24 / (-85) - (-9)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -85, \"c\": -9}", "seed": "6885016640833678062", "semantic_fingerprint": "sha256:31650fdc009592ab563a1520066f261be7f4745bb3fe4c83d2def6f9e23ffcea", "generator_version": "3.0"}
{"id": "v3_val_00006548", "prompt": "What value of x satisfies -12(x + 42) + 97 = 9(x - 3) - 538?", "solution_steps": ["Expand: -12x - 504 + 97 = 9(x - 3) - 538", "Expand: -12x - 504 + 97 = 9x - 27 - 538", "Combine constants: -12x - 407 = 9x - 27 - 538", "Combine constants: -12x - 407 = 9x - 565", "Subtract 9x from both sides: -21x - 407 = -565", "Add 407 to both sides: -21x = -158", "Divide both sides by -21: x = 158/21"], "final_answer": "158/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 42) + 97 = 9(x - 3) - 538", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 42, \"c\": 97, \"d\": 9, \"e\": 3, \"f\": 538}", "seed": "1222541263978164382", "semantic_fingerprint": "sha256:4f30d5d9ee64d7e164bbf258f18aca621e7fb6c56e74ebd7ec5f62f39d085f72", "generator_version": "3.0"}
{"id": "v3_val_00006549", "prompt": "Evaluate: 40 - 67 * 18 + 67 - (-6)", "solution_steps": ["Multiply: 67 * 18 = 1206", "Subtract: 40 - 1206 = -1166", "Add: -1166 + 67 = -1099", "Subtract: -1099 - (-6) = -1093"], "final_answer": "-1093", "answer_type": "integer", "kind": "expression", "math_text": "40 - 67 * 18 + 67 - (-6)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 67, \"c\": 18, \"d\": 67, \"e\": -6}", "seed": "1913091393014602688", "semantic_fingerprint": "sha256:5b2491bc21693c138e20d00e35a119db8c25aa6e31b4b1b1d99d6e2660664375", "generator_version": "3.0"}
{"id": "v3_val_00006550", "prompt": "What is -870 * (-590 + (-5 - (-485)))?", "solution_steps": ["Subtract: -5 - (-485) = 480", "Add: -590 + 480 = -110", "Multiply: -870 * (-110) = 95700"], "final_answer": "95700", "answer_type": "integer", "kind": "expression", "math_text": "-870 * (-590 + (-5 - (-485)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -870, \"b\": -590, \"c\": -5, \"d\": -485}", "seed": "1273894677710381278", "semantic_fingerprint": "sha256:a90fc201c0a1c983d91285e35b33f3e98ad3a6a2f669a8adbb211cbb650578a4", "generator_version": "3.0"}
{"id": "v3_val_00006551", "prompt": "Compute: 123 / (29 - (-3))", "solution_steps": ["Subtract: 29 - (-3) = 32", "Divide: 123 / 32 = 123/32"], "final_answer": "123/32", "answer_type": "rational", "kind": "expression", "math_text": "123 / (29 - (-3))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 123, \"b\": 29, \"c\": -3}", "seed": "276447752297194785", "semantic_fingerprint": "sha256:5719089d5cd6e0834eb7da9d97ee335824d51d04a1221c947a890ec9951da577", "generator_version": "3.0"}
{"id": "v3_val_00006552", "prompt": "What is 48 - 185 / 8 * 44?", "solution_steps": ["Divide: 185 / 8 = 185/8", "Multiply: (185/8) * 44 = 2035/2", "Subtract: 48 - 2035/2 = -1939/2"], "final_answer": "-1939/2", "answer_type": "rational", "kind": "expression", "math_text": "48 - 185 / 8 * 44", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 185, \"c\": 8, \"d\": 44}", "seed": "16824539790856355959", "semantic_fingerprint": "sha256:4d24678a37e43bbb04306d1754c99ca138c1be524d8fc1e5206979e8bbf7dd4b", "generator_version": "3.0"}
{"id": "v3_val_00006553", "prompt": "What is -215 / (-9 * 92)?", "solution_steps": ["Multiply: -9 * 92 = -828", "Divide: -215 / (-828) = 215/828"], "final_answer": "215/828", "answer_type": "rational", "kind": "expression", "math_text": "-215 / (-9 * 92)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -215, \"b\": -9, \"c\": 92}", "seed": "8934111785887409421", "semantic_fingerprint": "sha256:eddeddc131cdfc9cc452a789d6139b8a071e65be05909cead1bc68871387287a", "generator_version": "3.0"}
{"id": "v3_val_00006554", "prompt": "Find x: -9x = 2x", "solution_steps": ["Subtract 2x from both sides: -11x = 0", "Divide both sides by -11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 2x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2}", "seed": "12263390406496251424", "semantic_fingerprint": "sha256:00bfa56c18517a50de028ab4c60d3fe8d1985a255c0582222fc67279c4783630", "generator_version": "3.0"}
{"id": "v3_val_00006555", "prompt": "Solve the equation x + 245 = -10(x - 8) for x.", "solution_steps": ["Expand: x + 245 = -10x + 80", "Add 10x to both sides: 11x + 245 = 80", "Subtract 245 from both sides: 11x = -165", "Divide both sides by 11: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 245 = -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\": 245, \"x\": -15}", "seed": "12967416822531594978", "semantic_fingerprint": "sha256:656591e6f13e58db17a8b4b9346eabbc9d20b1ca8e2e4c021c38b84e55ea4032", "generator_version": "3.0"}
{"id": "v3_val_00006556", "prompt": "Calculate: -2 - 765 + (37 / (-4) - 699 * (-3))", "solution_steps": ["Subtract: -2 - 765 = -767", "Divide: 37 / (-4) = -37/4", "Multiply: 699 * (-3) = -2097", "Subtract: -37/4 - (-2097) = 8351/4", "Add: -767 + 8351/4 = 5283/4"], "final_answer": "5283/4", "answer_type": "rational", "kind": "expression", "math_text": "-2 - 765 + (37 / (-4) - 699 * (-3))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (/ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 765, \"c\": 37, \"d\": -4, \"e\": 699, \"f\": -3}", "seed": "12240081913722066940", "semantic_fingerprint": "sha256:ed731ed44763d9dfe7fee8c4a47007ea9276d1ddaded43b061cd861b04ccb0ce", "generator_version": "3.0"}
{"id": "v3_val_00006557", "prompt": "What is 9 / (-3 / (9 - (-1) * (-17)))?", "solution_steps": ["Multiply: -1 * (-17) = 17", "Subtract: 9 - 17 = -8", "Divide: -3 / (-8) = 3/8", "Divide: 9 / (3/8) = 24"], "final_answer": "24", "answer_type": "integer", "kind": "expression", "math_text": "9 / (-3 / (9 - (-1) * (-17)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (- n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -3, \"c\": 9, \"d\": -1, \"e\": -17}", "seed": "4169934140074458317", "semantic_fingerprint": "sha256:459e87dee89d0fd93af70e9e8954a53268f105363ef2b16ab0788037d101597b", "generator_version": "3.0"}
{"id": "v3_val_00006558", "prompt": "Solve the equation 4(x + 8) = x - 52 for x.", "solution_steps": ["Expand: 4x + 32 = x - 52", "Subtract x from both sides: 3x + 32 = -52", "Subtract 32 from both sides: 3x = -84", "Divide both sides by 3: x = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 8) = x - 52", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 52}", "seed": "7830790275297664775", "semantic_fingerprint": "sha256:30cb353c09b00ef48febab939f6f309344ac4cc83dfd5b8b0dacb0ff1a5a804f", "generator_version": "3.0"}
{"id": "v3_val_00006559", "prompt": "What value of x satisfies 4x = -36?", "solution_steps": ["Divide both sides by 4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = -36", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": -36, \"x\": -9}", "seed": "8594963931294982953", "semantic_fingerprint": "sha256:d051776ee1ab139d34837a5ff938c1005f73dd2e798af66fe9db83b5e9b57b74", "generator_version": "3.0"}
{"id": "v3_val_00006560", "prompt": "What value of x satisfies 5(x + 6) = 12(x - 6) - 17?", "solution_steps": ["Expand: 5x + 30 = 12(x - 6) - 17", "Expand: 5x + 30 = 12x - 72 - 17", "Combine constants: 5x + 30 = 12x - 89", "Subtract 12x from both sides: -7x + 30 = -89", "Subtract 30 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 + 6) = 12(x - 6) - 17", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 12, \"d\": 6, \"f\": -17, \"x\": 17}", "seed": "6771003163598422312", "semantic_fingerprint": "sha256:8d5878ecace072e06c54290f9718200eba259c2cac83f7006ce307febf5c1cb1", "generator_version": "3.0"}
{"id": "v3_val_00006561", "prompt": "Solve the equation 5x + 34 = 4(x - 12) + 82 for x.", "solution_steps": ["Expand: 5x + 34 = 4x - 48 + 82", "Combine constants: 5x + 34 = 4x + 34", "Subtract 4x from both sides: x + 34 = 34", "Subtract 34 from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 34 = 4(x - 12) + 82", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 34, \"c\": 4, \"d\": 12, \"f\": 82, \"x\": 0}", "seed": "2138240471181105710", "semantic_fingerprint": "sha256:bf85762abdb97d52d84313432043460054e1e24b2241235596d39a944dcbc632", "generator_version": "3.0"}
{"id": "v3_val_00006562", "prompt": "Compute: -6 / (19 + 778 + (-1))", "solution_steps": ["Add: 19 + 778 = 797", "Add: 797 + (-1) = 796", "Divide: -6 / 796 = -3/398"], "final_answer": "-3/398", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (19 + 778 + (-1))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 19, \"c\": 778, \"d\": -1}", "seed": "14782945060512912480", "semantic_fingerprint": "sha256:f77d10eea37706ceb851b0c9c2461a51fb5967e72bfa8c5b2ae107eb13aa34e2", "generator_version": "3.0"}
{"id": "v3_val_00006563", "prompt": "Solve the equation -8x - 280 = 6x for x.", "solution_steps": ["Subtract 6x from both sides: -14x - 280 = 0", "Add 280 to both sides: -14x = 280", "Divide both sides by -14: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 280 = 6x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"d\": -280, \"x\": -20}", "seed": "10280657958820511492", "semantic_fingerprint": "sha256:be15bb15b11176e533dd50415f3b221c2690f3991622f9a9b5c678be04c301e0", "generator_version": "3.0"}
{"id": "v3_val_00006564", "prompt": "What is 26 * 5 + (-35) / 92 - (-859 + 49)?", "solution_steps": ["Multiply: 26 * 5 = 130", "Divide: -35 / 92 = -35/92", "Add: 130 + (-35/92) = 11925/92", "Add: -859 + 49 = -810", "Subtract: 11925/92 - (-810) = 86445/92"], "final_answer": "86445/92", "answer_type": "rational", "kind": "expression", "math_text": "26 * 5 + (-35) / 92 - (-859 + 49)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) (/ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 5, \"c\": -35, \"d\": 92, \"e\": -859, \"f\": 49}", "seed": "2952637534034202486", "semantic_fingerprint": "sha256:f5ffff581496f8f8fbaa7a7413837887b75e9c82409d8ee4756eb1b83a5cca63", "generator_version": "3.0"}
{"id": "v3_val_00006565", "prompt": "Solve the equation 2x + 43 = -8(x + 87) + 699 for x.", "solution_steps": ["Expand: 2x + 43 = -8x - 696 + 699", "Combine constants: 2x + 43 = -8x + 3", "Add 8x to both sides: 10x + 43 = 3", "Subtract 43 from both sides: 10x = -40", "Divide both sides by 10: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 43 = -8(x + 87) + 699", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 43, \"c\": -8, \"d\": 87, \"f\": 699, \"x\": -4}", "seed": "3968541433039514384", "semantic_fingerprint": "sha256:e6ed73136fcc6cb6141800c89a68f15d22ab46610dfebb7188e26a4006dffbc7", "generator_version": "3.0"}
{"id": "v3_val_00006566", "prompt": "Solve the equation 8(x - 6) - 77 = 4x - 77 for x.", "solution_steps": ["Expand: 8x - 48 - 77 = 4x - 77", "Combine constants: 8x - 125 = 4x - 77", "Subtract 4x from both sides: 4x - 125 = -77", "Add 125 to both sides: 4x = 48", "Divide both sides by 4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 6) - 77 = 4x - 77", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 77, \"d\": 4, \"f\": -77, \"x\": 12}", "seed": "7890277987539486970", "semantic_fingerprint": "sha256:47a5694925889349f8e2f877abde0d6647513ce584d39db8a6c0fe18ade74997", "generator_version": "3.0"}
{"id": "v3_val_00006567", "prompt": "Solve for x: x = 6(x + 57)", "solution_steps": ["Expand: x = 6x + 342", "Subtract 6x from both sides: -5x = 342", "Divide both sides by -5: x = -342/5"], "final_answer": "-342/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 6(x + 57)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 57}", "seed": "6908127422574400438", "semantic_fingerprint": "sha256:d9d51d075e82c5845cf8f7f027ff5c95506031841ef2b533e18de91b82d36ce4", "generator_version": "3.0"}
{"id": "v3_val_00006568", "prompt": "Find x: -3(x - 7) = 3x + 59", "solution_steps": ["Expand: -3x + 21 = 3x + 59", "Subtract 3x from both sides: -6x + 21 = 59", "Subtract 21 from both sides: -6x = 38", "Divide both sides by -6: x = -19/3"], "final_answer": "-19/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 7) = 3x + 59", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"c\": 3, \"d\": 59}", "seed": "11213913301607549057", "semantic_fingerprint": "sha256:893f1a869df6cbb8d02f5a0e3301db7e7a437fe3188800684f46aaf548c6e693", "generator_version": "3.0"}
{"id": "v3_val_00006569", "prompt": "Evaluate: 29 + (-88)", "solution_steps": ["Add: 29 + (-88) = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "expression", "math_text": "29 + (-88)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -88}", "seed": "153773695797390826", "semantic_fingerprint": "sha256:cc2f3e256c0b481b525acaac113591ec159e62337f02213a947c904d55b1c633", "generator_version": "3.0"}
{"id": "v3_val_00006570", "prompt": "Compute: 0 + (-11)", "solution_steps": ["Add: 0 + (-11) = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-11)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -11}", "seed": "16355370917206372250", "semantic_fingerprint": "sha256:b1c00ea20e9de76449ee35b17de94b6f6b223664a8f537721b0dde20c09de174", "generator_version": "3.0"}
{"id": "v3_val_00006571", "prompt": "Compute: 14 - (-7) + 480", "solution_steps": ["Subtract: 14 - (-7) = 21", "Add: 21 + 480 = 501"], "final_answer": "501", "answer_type": "integer", "kind": "expression", "math_text": "14 - (-7) + 480", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -7, \"c\": 480}", "seed": "3386973197384419153", "semantic_fingerprint": "sha256:0965d137e7c8476f4ea77105ea1a56e54b338887a729e86e271a9b7b5a9e7108", "generator_version": "3.0"}
{"id": "v3_val_00006572", "prompt": "Find x: 2(x + 6) - 9 = -6x + 123", "solution_steps": ["Expand: 2x + 12 - 9 = -6x + 123", "Combine constants: 2x + 3 = -6x + 123", "Add 6x to both sides: 8x + 3 = 123", "Subtract 3 from both sides: 8x = 120", "Divide both sides by 8: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 6) - 9 = -6x + 123", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 9, \"d\": -6, \"f\": 123, \"x\": 15}", "seed": "8829246820375025909", "semantic_fingerprint": "sha256:f7052d32219ca9fcdf2db2256edabe697d3b915bc79d5f7be42bd8faf49e00b2", "generator_version": "3.0"}
{"id": "v3_val_00006573", "prompt": "What value of x satisfies x + 3 = 11x + 8?", "solution_steps": ["Subtract 11x from both sides: -10x + 3 = 8", "Subtract 3 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": "x + 3 = 11x + 8", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 11, \"c\": 8}", "seed": "649608320118491984", "semantic_fingerprint": "sha256:a192b9e622a8d965e9afc003dec7fa072002365d86b65bb1d2c91eb0c10f563c", "generator_version": "3.0"}
{"id": "v3_val_00006574", "prompt": "Solve the equation 10x + 1 = 2(x + 4) + 137 for x.", "solution_steps": ["Expand: 10x + 1 = 2x + 8 + 137", "Combine constants: 10x + 1 = 2x + 145", "Subtract 2x from both sides: 8x + 1 = 145", "Subtract 1 from both sides: 8x = 144", "Divide both sides by 8: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 1 = 2(x + 4) + 137", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 2, \"d\": 4, \"f\": 137, \"x\": 18}", "seed": "11239721104621240370", "semantic_fingerprint": "sha256:0f118e020ccc8bd500b3cecfb73cf122b0f03def1ecc8546787b8bd01cb7ba28", "generator_version": "3.0"}
{"id": "v3_val_00006575", "prompt": "Evaluate: -8 * 64", "solution_steps": ["Multiply: -8 * 64 = -512"], "final_answer": "-512", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 64", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 64}", "seed": "16464516853386618764", "semantic_fingerprint": "sha256:1ee0540dbc4efbecf4d1856f7ccc20340a6898632285981f72ef3ee0132b3533", "generator_version": "3.0"}
{"id": "v3_val_00006576", "prompt": "Evaluate: -805 + (-771) - (-1 - 5)", "solution_steps": ["Add: -805 + (-771) = -1576", "Subtract: -1 - 5 = -6", "Subtract: -1576 - (-6) = -1570"], "final_answer": "-1570", "answer_type": "integer", "kind": "expression", "math_text": "-805 + (-771) - (-1 - 5)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -805, \"b\": -771, \"c\": -1, \"d\": 5}", "seed": "8159666384742189414", "semantic_fingerprint": "sha256:f435c05775bba27640d72d42e2c825b802f6405689aa40edce34c410d788ad0a", "generator_version": "3.0"}
{"id": "v3_val_00006577", "prompt": "Compute: -4 * 42 - 53 - 1", "solution_steps": ["Multiply: -4 * 42 = -168", "Subtract: -168 - 53 = -221", "Subtract: -221 - 1 = -222"], "final_answer": "-222", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 42 - 53 - 1", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 42, \"c\": 53, \"d\": 1}", "seed": "1706370646389659713", "semantic_fingerprint": "sha256:21650c656fd76136de42b36b7780d67474d23c55466dc1bf733b78d4212ea4bd", "generator_version": "3.0"}
{"id": "v3_val_00006578", "prompt": "Evaluate: 0 / (17 / (-741 / (-715)))", "solution_steps": ["Divide: -741 / (-715) = 57/55", "Divide: 17 / (57/55) = 935/57", "Divide: 0 / (935/57) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (17 / (-741 / (-715)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 17, \"c\": -741, \"d\": -715}", "seed": "15088054468051262399", "semantic_fingerprint": "sha256:7cfd1834845931da94632dbebbae109ec675c932063be32035ccb97ed383c2e0", "generator_version": "3.0"}
{"id": "v3_val_00006579", "prompt": "Evaluate: 0 / (-463 + (-22))", "solution_steps": ["Add: -463 + (-22) = -485", "Divide: 0 / (-485) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-463 + (-22))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -463, \"c\": -22}", "seed": "4016341972388999608", "semantic_fingerprint": "sha256:52da78f471e889b96e99987ff61165483c3343f7c6110304670055d5510798fc", "generator_version": "3.0"}
{"id": "v3_val_00006580", "prompt": "What value of x satisfies -10(x + 4) + 71 = 3(x - 53) - 4?", "solution_steps": ["Expand: -10x - 40 + 71 = 3(x - 53) - 4", "Expand: -10x - 40 + 71 = 3x - 159 - 4", "Combine constants: -10x + 31 = 3x - 159 - 4", "Combine constants: -10x + 31 = 3x - 163", "Subtract 3x from both sides: -13x + 31 = -163", "Subtract 31 from both sides: -13x = -194", "Divide both sides by -13: x = 194/13"], "final_answer": "194/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 4) + 71 = 3(x - 53) - 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\": 4, \"c\": 71, \"d\": 3, \"e\": 53, \"f\": 4}", "seed": "9535263135399005039", "semantic_fingerprint": "sha256:5138eeab0e5ebbc31f438e0d10b27c7c307af7ac19bf2dac5b616be039d2dff2", "generator_version": "3.0"}
{"id": "v3_val_00006581", "prompt": "Find x: 8(x + 6) - 90 = 2x", "solution_steps": ["Expand: 8x + 48 - 90 = 2x", "Combine constants: 8x - 42 = 2x", "Subtract 2x from both sides: 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": "8(x + 6) - 90 = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 2, \"e\": -90, \"x\": 7}", "seed": "632322220061822427", "semantic_fingerprint": "sha256:85cd4e0d081916d789e3ced4f727f7e98507420631110b3682101084da674c36", "generator_version": "3.0"}
{"id": "v3_val_00006582", "prompt": "What is -403 / (-50) + (-87) * 53 / 41?", "solution_steps": ["Divide: -403 / (-50) = 403/50", "Multiply: -87 * 53 = -4611", "Divide: -4611 / 41 = -4611/41", "Add: 403/50 + (-4611/41) = -214027/2050"], "final_answer": "-214027/2050", "answer_type": "rational", "kind": "expression", "math_text": "-403 / (-50) + (-87) * 53 / 41", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -403, \"b\": -50, \"c\": -87, \"d\": 53, \"e\": 41}", "seed": "8867834001140155273", "semantic_fingerprint": "sha256:ca6b65f5f02d5924f54d8a28a534ef93b8e65595ac008b74e30f231123347917", "generator_version": "3.0"}
{"id": "v3_val_00006583", "prompt": "What is 73 * 36?", "solution_steps": ["Multiply: 73 * 36 = 2628"], "final_answer": "2628", "answer_type": "integer", "kind": "expression", "math_text": "73 * 36", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 36}", "seed": "12185988592020286623", "semantic_fingerprint": "sha256:d41dabffd5040a3ad931e4e5ad91335badca7777ced6054114723c6710b849cc", "generator_version": "3.0"}
{"id": "v3_val_00006584", "prompt": "What value of x satisfies 4(x - 4) + 30 = 5(x - 49) + 272?", "solution_steps": ["Expand: 4x - 16 + 30 = 5(x - 49) + 272", "Expand: 4x - 16 + 30 = 5x - 245 + 272", "Combine constants: 4x + 14 = 5x - 245 + 272", "Combine constants: 4x + 14 = 5x + 27", "Subtract 5x from both sides: -x + 14 = 27", "Subtract 14 from both sides: -x = 13", "Divide both sides by -1: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 4) + 30 = 5(x - 49) + 272", "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\": 30, \"d\": 5, \"e\": 49, \"g\": 272, \"x\": -13}", "seed": "17381612474635034023", "semantic_fingerprint": "sha256:2fc145c7867a6214702bf4954f31574b7a3bb6a95f60e6234e127b1e5552e123", "generator_version": "3.0"}
{"id": "v3_val_00006585", "prompt": "Solve the equation -3(x - 15) + 27 = x for x.", "solution_steps": ["Expand: -3x + 45 + 27 = x", "Combine constants: -3x + 72 = x", "Subtract x 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": "-3(x - 15) + 27 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 15, \"d\": 27, \"x\": 18}", "seed": "850199129115413287", "semantic_fingerprint": "sha256:25290c330f58a82621c8deab29321e197d32f55f3f3404f37fd963c075e49224", "generator_version": "3.0"}
{"id": "v3_val_00006586", "prompt": "What is 6 + (-53)?", "solution_steps": ["Add: 6 + (-53) = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-53)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -53}", "seed": "1975492718807234", "semantic_fingerprint": "sha256:3fbfe173b3767833f9f84bd2ab01a530aa46bb09999b0f42f1e8dcb2a0ab8ced", "generator_version": "3.0"}
{"id": "v3_val_00006587", "prompt": "What value of x satisfies 3(x - 6) + 1 = -9x - 4?", "solution_steps": ["Expand: 3x - 18 + 1 = -9x - 4", "Combine constants: 3x - 17 = -9x - 4", "Add 9x to both sides: 12x - 17 = -4", "Add 17 to both sides: 12x = 13", "Divide both sides by 12: x = 13/12"], "final_answer": "13/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 6) + 1 = -9x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 1, \"d\": -9, \"e\": 4}", "seed": "11554794497328371852", "semantic_fingerprint": "sha256:8f2d5ab48d0dac247db5a253c75488a58b46e2433d832caedded56af374e3b2e", "generator_version": "3.0"}
{"id": "v3_val_00006588", "prompt": "Evaluate: -1 * (-145 - (891 + 4 - (4 - 2)))", "solution_steps": ["Add: 891 + 4 = 895", "Subtract: 4 - 2 = 2", "Subtract: 895 - 2 = 893", "Subtract: -145 - 893 = -1038", "Multiply: -1 * (-1038) = 1038"], "final_answer": "1038", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-145 - (891 + 4 - (4 - 2)))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (- (+ n n) (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -145, \"c\": 891, \"d\": 4, \"e\": 4, \"f\": 2}", "seed": "13419363809858798043", "semantic_fingerprint": "sha256:5252c08ee4974bdf89524a4533517638faf65f42972faf070da1bf5e15d815cc", "generator_version": "3.0"}
{"id": "v3_val_00006589", "prompt": "Find x: 2x - 81 = x - 86", "solution_steps": ["Subtract x from both sides: x - 81 = -86", "Add 81 to both sides: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 81 = x - 86", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 81, \"d\": -86, \"x\": -5}", "seed": "11672910205535183381", "semantic_fingerprint": "sha256:70916bbe967fe0aee43b091ab3e6c36c7aa124c3b09daf463853d043d177cbf8", "generator_version": "3.0"}
{"id": "v3_val_00006590", "prompt": "What value of x satisfies 3(x + 74) = x?", "solution_steps": ["Expand: 3x + 222 = x", "Subtract x from both sides: 2x + 222 = 0", "Subtract 222 from both sides: 2x = -222", "Divide both sides by 2: x = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 74) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 74}", "seed": "16295883589649507907", "semantic_fingerprint": "sha256:d0576f84f6c79c88564aa5ccd8ab9407839a5ec0378f09c1730de17976cf53c5", "generator_version": "3.0"}
{"id": "v3_val_00006591", "prompt": "Solve for x: x + 1 = -2(x + 34) + 51", "solution_steps": ["Expand: x + 1 = -2x - 68 + 51", "Combine constants: x + 1 = -2x - 17", "Add 2x to both sides: 3x + 1 = -17", "Subtract 1 from both sides: 3x = -18", "Divide both sides by 3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1 = -2(x + 34) + 51", "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, \"e\": 51, \"x\": -6}", "seed": "3993917733573719285", "semantic_fingerprint": "sha256:290205091df49ad00955569966f28ba6ad737ab0901aa592924e2086c501e0d6", "generator_version": "3.0"}
{"id": "v3_val_00006592", "prompt": "What value of x satisfies 3(x + 55) - 251 = 12(x - 6)?", "solution_steps": ["Expand: 3x + 165 - 251 = 12(x - 6)", "Expand: 3x + 165 - 251 = 12x - 72", "Combine constants: 3x - 86 = 12x - 72", "Subtract 12x from both sides: -9x - 86 = -72", "Add 86 to both sides: -9x = 14", "Divide both sides by -9: x = -14/9"], "final_answer": "-14/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 55) - 251 = 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\": 55, \"c\": 251, \"d\": 12, \"e\": 6}", "seed": "8711624978007446420", "semantic_fingerprint": "sha256:a1705d762ea4479066107158079e98106ea4b836625cd732d2a230e5425332ab", "generator_version": "3.0"}
{"id": "v3_val_00006593", "prompt": "Solve for x: -9(x + 4) - 3 = -2(x + 43) + 7", "solution_steps": ["Expand: -9x - 36 - 3 = -2(x + 43) + 7", "Expand: -9x - 36 - 3 = -2x - 86 + 7", "Combine constants: -9x - 39 = -2x - 86 + 7", "Combine constants: -9x - 39 = -2x - 79", "Add 2x to both sides: -7x - 39 = -79", "Add 39 to both sides: -7x = -40", "Divide both sides by -7: x = 40/7"], "final_answer": "40/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 4) - 3 = -2(x + 43) + 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\": 4, \"c\": 3, \"d\": -2, \"e\": 43, \"f\": 7}", "seed": "17406629440377854083", "semantic_fingerprint": "sha256:5befd4d1c4d733dc404464b92ecbaaf96edefe7f06409b0a67e2d5eb943abac4", "generator_version": "3.0"}
{"id": "v3_val_00006594", "prompt": "Evaluate: -567 * (-62)", "solution_steps": ["Multiply: -567 * (-62) = 35154"], "final_answer": "35154", "answer_type": "integer", "kind": "expression", "math_text": "-567 * (-62)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -567, \"b\": -62}", "seed": "13612643725986724368", "semantic_fingerprint": "sha256:eaef583672c74643919d9fa4c300a66c4b39cc8e6f0d75557c9331ce4d35cb25", "generator_version": "3.0"}
{"id": "v3_val_00006595", "prompt": "What is (4 - 3) / (7 - 6)?", "solution_steps": ["Subtract: 4 - 3 = 1", "Subtract: 7 - 6 = 1", "Divide: 1 / 1 = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "(4 - 3) / (7 - 6)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 7, \"d\": 6}", "seed": "5459687312915841552", "semantic_fingerprint": "sha256:9042263ae72e5055f8ea8da67bb97ef488d76bd77b6f5db439cc1a241892da21", "generator_version": "3.0"}
{"id": "v3_val_00006596", "prompt": "Solve the equation 4x - 63 = 9(x + 29) - 394 for x.", "solution_steps": ["Expand: 4x - 63 = 9x + 261 - 394", "Combine constants: 4x - 63 = 9x - 133", "Subtract 9x from both sides: -5x - 63 = -133", "Add 63 to both sides: -5x = -70", "Divide both sides by -5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 63 = 9(x + 29) - 394", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 63, \"c\": 9, \"d\": 29, \"f\": -394, \"x\": 14}", "seed": "8107799291535619084", "semantic_fingerprint": "sha256:d5a067756cc76aea5e2c621e2ecadf32c4e38b4b675300322ca1a4b084473f5e", "generator_version": "3.0"}
{"id": "v3_val_00006597", "prompt": "Solve the equation -11(x - 48) = 7x + 465 for x.", "solution_steps": ["Expand: -11x + 528 = 7x + 465", "Subtract 7x from both sides: -18x + 528 = 465", "Subtract 528 from both sides: -18x = -63", "Divide both sides by -18: x = 7/2"], "final_answer": "7/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 48) = 7x + 465", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 48, \"c\": 7, \"d\": 465}", "seed": "4126614556971999569", "semantic_fingerprint": "sha256:3a45839fa7ee95419e3df19afbfcf2dcc1a40d97579810a2180037d2c3a7f0c6", "generator_version": "3.0"}
{"id": "v3_val_00006598", "prompt": "Find x: 8x = 5(x - 8) - 6", "solution_steps": ["Expand: 8x = 5x - 40 - 6", "Combine constants: 8x = 5x - 46", "Subtract 5x from both sides: 3x = -46", "Divide both sides by 3: x = -46/3"], "final_answer": "-46/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = 5(x - 8) - 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 8, \"d\": 6}", "seed": "13911329951590291999", "semantic_fingerprint": "sha256:e3bfc21da75dcba5eb4b6317537c668e115ec8b8c77032a5df07772e912f1097", "generator_version": "3.0"}
{"id": "v3_val_00006599", "prompt": "Find x: 10(x + 1) - 9 = -7x - 76", "solution_steps": ["Expand: 10x + 10 - 9 = -7x - 76", "Combine constants: 10x + 1 = -7x - 76", "Add 7x to both sides: 17x + 1 = -76", "Subtract 1 from both sides: 17x = -77", "Divide both sides by 17: x = -77/17"], "final_answer": "-77/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 1) - 9 = -7x - 76", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 9, \"d\": -7, \"e\": 76}", "seed": "6530752941059448302", "semantic_fingerprint": "sha256:f5792a9b6e9559da91b68d07dd57fe4508b1230a087457edd3f90e254a90eac7", "generator_version": "3.0"}
{"id": "v3_val_00006600", "prompt": "Calculate: (76 + 652) / (-6 * (-8))", "solution_steps": ["Add: 76 + 652 = 728", "Multiply: -6 * (-8) = 48", "Divide: 728 / 48 = 91/6"], "final_answer": "91/6", "answer_type": "rational", "kind": "expression", "math_text": "(76 + 652) / (-6 * (-8))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 652, \"c\": -6, \"d\": -8}", "seed": "6659410708055009536", "semantic_fingerprint": "sha256:2ca722064305a37b93073e31d73528c0edb696059083c4d5e8ab74ecb34bf874", "generator_version": "3.0"}
{"id": "v3_val_00006601", "prompt": "Solve the equation 4(x + 980) = x - 4 for x.", "solution_steps": ["Expand: 4x + 3920 = x - 4", "Subtract x from both sides: 3x + 3920 = -4", "Subtract 3920 from both sides: 3x = -3924", "Divide both sides by 3: x = -1308"], "final_answer": "-1308", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 980) = x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 980, \"c\": 4}", "seed": "16159809738113457741", "semantic_fingerprint": "sha256:d334361b621d1b5147178d1b0f1f46187f1e0992841007a8948ebef3edb2b329", "generator_version": "3.0"}
{"id": "v3_val_00006602", "prompt": "Calculate: -27 + (-590) + (-47)", "solution_steps": ["Add: -27 + (-590) = -617", "Add: -617 + (-47) = -664"], "final_answer": "-664", "answer_type": "integer", "kind": "expression", "math_text": "-27 + (-590) + (-47)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -590, \"c\": -47}", "seed": "4519853792374903844", "semantic_fingerprint": "sha256:58304d7f9a61c031621cbefe5265233bfe319251421939f86b02487e4a382e51", "generator_version": "3.0"}
{"id": "v3_val_00006603", "prompt": "Calculate: 86 / (-5 - 0) * 66", "solution_steps": ["Subtract: -5 - 0 = -5", "Divide: 86 / (-5) = -86/5", "Multiply: (-86/5) * 66 = -5676/5"], "final_answer": "-5676/5", "answer_type": "rational", "kind": "expression", "math_text": "86 / (-5 - 0) * 66", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -5, \"c\": 0, \"d\": 66}", "seed": "18013770662426238312", "semantic_fingerprint": "sha256:d8a726e02d43f3e2f28308b56d32bd5991dec37d260bcc171cc4cb15c7216339", "generator_version": "3.0"}
{"id": "v3_val_00006604", "prompt": "Solve for x: x + 7 = 12x + 117", "solution_steps": ["Subtract 12x from both sides: -11x + 7 = 117", "Subtract 7 from both sides: -11x = 110", "Divide both sides by -11: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7 = 12x + 117", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"d\": 117, \"x\": -10}", "seed": "4801926149767727225", "semantic_fingerprint": "sha256:6349dae22b441d3c99dc8a7d08642e84487299e1ae57e15e5b2fc98d037722a4", "generator_version": "3.0"}
{"id": "v3_val_00006605", "prompt": "What is -718 - 58 + 331?", "solution_steps": ["Subtract: -718 - 58 = -776", "Add: -776 + 331 = -445"], "final_answer": "-445", "answer_type": "integer", "kind": "expression", "math_text": "-718 - 58 + 331", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -718, \"b\": 58, \"c\": 331}", "seed": "13258540989657012964", "semantic_fingerprint": "sha256:5495961fa15cc8f060143964ac26042bbac61fe8a0eb974b76a7b23b6674d573", "generator_version": "3.0"}
{"id": "v3_val_00006606", "prompt": "Calculate: (-788 + 805 * 62) / (-4 - 5)", "solution_steps": ["Multiply: 805 * 62 = 49910", "Add: -788 + 49910 = 49122", "Subtract: -4 - 5 = -9", "Divide: 49122 / (-9) = -5458"], "final_answer": "-5458", "answer_type": "integer", "kind": "expression", "math_text": "(-788 + 805 * 62) / (-4 - 5)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -788, \"b\": 805, \"c\": 62, \"d\": -4, \"e\": 5}", "seed": "1403685219955907965", "semantic_fingerprint": "sha256:591d1291f8e27440ee4b93d562674c6b9f2eb59fe9e961300c919dee888bb47f", "generator_version": "3.0"}
{"id": "v3_val_00006607", "prompt": "Solve for x: 11(x - 91) - 407 = -7", "solution_steps": ["Expand: 11x - 1001 - 407 = -7", "Combine constants: 11x - 1408 = -7", "Add 1408 to both sides: 11x = 1401", "Divide both sides by 11: x = 1401/11"], "final_answer": "1401/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 91) - 407 = -7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 91, \"c\": 407, \"d\": -7}", "seed": "12124764328370966201", "semantic_fingerprint": "sha256:f969dfb11cdfe34ef6030112b0c54dee0f8d093f97f2f5c1858b8e806dcd6b04", "generator_version": "3.0"}
{"id": "v3_val_00006608", "prompt": "Calculate: (17 - (-80)) / (-476) + (-7) + (-56 - (-4))", "solution_steps": ["Subtract: 17 - (-80) = 97", "Divide: 97 / (-476) = -97/476", "Add: -97/476 + (-7) = -3429/476", "Subtract: -56 - (-4) = -52", "Add: -3429/476 + (-52) = -28181/476"], "final_answer": "-28181/476", "answer_type": "rational", "kind": "expression", "math_text": "(17 - (-80)) / (-476) + (-7) + (-56 - (-4))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ (- n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -80, \"c\": -476, \"d\": -7, \"e\": -56, \"f\": -4}", "seed": "8767697807599411462", "semantic_fingerprint": "sha256:6af3145469ee0b5323eb63b30aba8931f54461548572cdc4ce2ee8e2d9c36fd6", "generator_version": "3.0"}
{"id": "v3_val_00006609", "prompt": "What is -20 - 0 / (-4) / 6?", "solution_steps": ["Divide: 0 / (-4) = 0", "Divide: 0 / 6 = 0", "Subtract: -20 - 0 = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "expression", "math_text": "-20 - 0 / (-4) / 6", "variable": null, "family": "expression_3op", "shape": "(- n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 0, \"c\": -4, \"d\": 6}", "seed": "6800730763389356638", "semantic_fingerprint": "sha256:caccfa716244883680b2f7a96a54096ae8029421a8e05d61ed716cb08b87b7d8", "generator_version": "3.0"}
{"id": "v3_val_00006610", "prompt": "Evaluate: -41 - (974 + 3)", "solution_steps": ["Add: 974 + 3 = 977", "Subtract: -41 - 977 = -1018"], "final_answer": "-1018", "answer_type": "integer", "kind": "expression", "math_text": "-41 - (974 + 3)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": 974, \"c\": 3}", "seed": "888037594630838405", "semantic_fingerprint": "sha256:7e24611987a179ee8dafaef3527f2ae16999b84408ca56291f85c1ca9bb246be", "generator_version": "3.0"}
{"id": "v3_val_00006611", "prompt": "Compute: -95 * (-60)", "solution_steps": ["Multiply: -95 * (-60) = 5700"], "final_answer": "5700", "answer_type": "integer", "kind": "expression", "math_text": "-95 * (-60)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -60}", "seed": "4131153709219554759", "semantic_fingerprint": "sha256:824013faabc8f239a28578443f9b470fe664cddffc1babfeae1f671f4815683f", "generator_version": "3.0"}
{"id": "v3_val_00006612", "prompt": "Compute: (13 * (-64) + (-222)) * 33 + 2", "solution_steps": ["Multiply: 13 * (-64) = -832", "Add: -832 + (-222) = -1054", "Multiply: -1054 * 33 = -34782", "Add: -34782 + 2 = -34780"], "final_answer": "-34780", "answer_type": "integer", "kind": "expression", "math_text": "(13 * (-64) + (-222)) * 33 + 2", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -64, \"c\": -222, \"d\": 33, \"e\": 2}", "seed": "10007183249979810711", "semantic_fingerprint": "sha256:a9123c8dbf24be5771019d530011e1dc2cff9830113c1bd77ed7883d81eabae9", "generator_version": "3.0"}
{"id": "v3_val_00006613", "prompt": "Evaluate: -31 - ((5 + (-9)) * (-995) + (-761))", "solution_steps": ["Add: 5 + (-9) = -4", "Multiply: -4 * (-995) = 3980", "Add: 3980 + (-761) = 3219", "Subtract: -31 - 3219 = -3250"], "final_answer": "-3250", "answer_type": "integer", "kind": "expression", "math_text": "-31 - ((5 + (-9)) * (-995) + (-761))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 5, \"c\": -9, \"d\": -995, \"e\": -761}", "seed": "3112512388979983159", "semantic_fingerprint": "sha256:5c97dc365b8e5357996e7e141a6498a21a2c8f2093c9ad4d99b9f9997776853e", "generator_version": "3.0"}
{"id": "v3_val_00006614", "prompt": "Solve for x: -7(x + 74) + 7 = 12x - 606", "solution_steps": ["Expand: -7x - 518 + 7 = 12x - 606", "Combine constants: -7x - 511 = 12x - 606", "Subtract 12x from both sides: -19x - 511 = -606", "Add 511 to both sides: -19x = -95", "Divide both sides by -19: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 74) + 7 = 12x - 606", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 74, \"c\": 7, \"d\": 12, \"f\": -606, \"x\": 5}", "seed": "1082286503551309306", "semantic_fingerprint": "sha256:40e1dde6d5b6d2a51f169b68635c463997405ca09e57403e351f32d902773755", "generator_version": "3.0"}
{"id": "v3_val_00006615", "prompt": "Compute: -18 * (-461)", "solution_steps": ["Multiply: -18 * (-461) = 8298"], "final_answer": "8298", "answer_type": "integer", "kind": "expression", "math_text": "-18 * (-461)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -461}", "seed": "15574870590988760962", "semantic_fingerprint": "sha256:1854287c3dccc7e11f47e9dcf769ed648348d47d02cf41243af72d9b19ca78b5", "generator_version": "3.0"}
{"id": "v3_val_00006616", "prompt": "Find x: -11(x + 4) = -44", "solution_steps": ["Expand: -11x - 44 = -44", "Add 44 to both sides: -11x = 0", "Divide both sides by -11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 4) = -44", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"d\": -44, \"x\": 0}", "seed": "15840779760419764273", "semantic_fingerprint": "sha256:5a96b609813d4e62319791e2cbcfbc96778634855a04f1469d24c3a7430f1abc", "generator_version": "3.0"}
{"id": "v3_val_00006617", "prompt": "Find x: x - 8 = -12(x + 852) - 637", "solution_steps": ["Expand: x - 8 = -12x - 10224 - 637", "Combine constants: x - 8 = -12x - 10861", "Add 12x to both sides: 13x - 8 = -10861", "Add 8 to both sides: 13x = -10853", "Divide both sides by 13: x = -10853/13"], "final_answer": "-10853/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8 = -12(x + 852) - 637", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -12, \"c\": 852, \"d\": 637}", "seed": "1697216220881592832", "semantic_fingerprint": "sha256:36d5ce28f21648c8426ffcc62727655f5807212e5b6176a8048243259913595a", "generator_version": "3.0"}
{"id": "v3_val_00006618", "prompt": "Compute: (-34 + (-16)) / (-5) - 32", "solution_steps": ["Add: -34 + (-16) = -50", "Divide: -50 / (-5) = 10", "Subtract: 10 - 32 = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "(-34 + (-16)) / (-5) - 32", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -16, \"c\": -5, \"d\": 32}", "seed": "653675786137752622", "semantic_fingerprint": "sha256:d3ad0d81f4e9f03b1cf580e019d450a9154cff88d8a965756f3eec4670da1fa1", "generator_version": "3.0"}
{"id": "v3_val_00006619", "prompt": "What value of x satisfies 10(x - 80) + 269 = 6(x - 6) - 543?", "solution_steps": ["Expand: 10x - 800 + 269 = 6(x - 6) - 543", "Expand: 10x - 800 + 269 = 6x - 36 - 543", "Combine constants: 10x - 531 = 6x - 36 - 543", "Combine constants: 10x - 531 = 6x - 579", "Subtract 6x from both sides: 4x - 531 = -579", "Add 531 to both sides: 4x = -48", "Divide both sides by 4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 80) + 269 = 6(x - 6) - 543", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 80, \"c\": 269, \"d\": 6, \"e\": 6, \"g\": -543, \"x\": -12}", "seed": "2029618878574352107", "semantic_fingerprint": "sha256:235c1d1a69533eee2644e714b943a2368fb819ce323291b398a71bb747895733", "generator_version": "3.0"}
{"id": "v3_val_00006620", "prompt": "Solve the equation 11(x + 93) + 95 = 9(x + 23) + 877 for x.", "solution_steps": ["Expand: 11x + 1023 + 95 = 9(x + 23) + 877", "Expand: 11x + 1023 + 95 = 9x + 207 + 877", "Combine constants: 11x + 1118 = 9x + 207 + 877", "Combine constants: 11x + 1118 = 9x + 1084", "Subtract 9x from both sides: 2x + 1118 = 1084", "Subtract 1118 from both sides: 2x = -34", "Divide both sides by 2: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 93) + 95 = 9(x + 23) + 877", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 93, \"c\": 95, \"d\": 9, \"e\": 23, \"g\": 877, \"x\": -17}", "seed": "6185971404552354147", "semantic_fingerprint": "sha256:d8f5aa29f3e83269aeef1c981128da71bc80732acc732a9e0d7d6fcdc4d3fc17", "generator_version": "3.0"}
{"id": "v3_val_00006621", "prompt": "Compute: -80 - 35", "solution_steps": ["Subtract: -80 - 35 = -115"], "final_answer": "-115", "answer_type": "integer", "kind": "expression", "math_text": "-80 - 35", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 35}", "seed": "18310530345468014874", "semantic_fingerprint": "sha256:a7adafbb7b17dffd52bd4b424ecce1cb509d36952f6a9a1c2ef4d37aa2bba117", "generator_version": "3.0"}
{"id": "v3_val_00006622", "prompt": "Evaluate: 475 * 0", "solution_steps": ["Multiply: 475 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "475 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 475, \"b\": 0}", "seed": "2345775749324265048", "semantic_fingerprint": "sha256:9269fa1e03538701d9aa8ebfed2acc46d3e5ebbed0e838944069ee7a6f64df55", "generator_version": "3.0"}
{"id": "v3_val_00006623", "prompt": "What value of x satisfies -10(x - 7) + 68 = x - 38?", "solution_steps": ["Expand: -10x + 70 + 68 = x - 38", "Combine constants: -10x + 138 = x - 38", "Subtract x from both sides: -11x + 138 = -38", "Subtract 138 from both sides: -11x = -176", "Divide both sides by -11: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 7) + 68 = x - 38", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 68, \"e\": -38, \"x\": 16}", "seed": "15442387877198631882", "semantic_fingerprint": "sha256:9e0f3d14f7800cda6923c271cc4110ba30779191fa8ff65ce4fe96e1e99589e6", "generator_version": "3.0"}
{"id": "v3_val_00006624", "prompt": "Compute: 5 - (33 + (-47)) - 750", "solution_steps": ["Add: 33 + (-47) = -14", "Subtract: 5 - (-14) = 19", "Subtract: 19 - 750 = -731"], "final_answer": "-731", "answer_type": "integer", "kind": "expression", "math_text": "5 - (33 + (-47)) - 750", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 33, \"c\": -47, \"d\": 750}", "seed": "6184309743834646193", "semantic_fingerprint": "sha256:09241c0e9682e9c6d36ad45f7c38eec333eaa414f05c5f90fc491da98ddfc8e1", "generator_version": "3.0"}
{"id": "v3_val_00006625", "prompt": "What value of x satisfies -6(x + 87) - 6 = 7(x - 5) - 545?", "solution_steps": ["Expand: -6x - 522 - 6 = 7(x - 5) - 545", "Expand: -6x - 522 - 6 = 7x - 35 - 545", "Combine constants: -6x - 528 = 7x - 35 - 545", "Combine constants: -6x - 528 = 7x - 580", "Subtract 7x from both sides: -13x - 528 = -580", "Add 528 to both sides: -13x = -52", "Divide both sides by -13: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 87) - 6 = 7(x - 5) - 545", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 87, \"c\": 6, \"d\": 7, \"e\": 5, \"g\": -545, \"x\": 4}", "seed": "2099492602555855968", "semantic_fingerprint": "sha256:19881fc850003b62a2daaa9e3c7d2d23c0d8022c38899aca89b1f36c81de9cec", "generator_version": "3.0"}
{"id": "v3_val_00006626", "prompt": "Evaluate: 971 / (160 - 40 * 25) + (-729)", "solution_steps": ["Multiply: 40 * 25 = 1000", "Subtract: 160 - 1000 = -840", "Divide: 971 / (-840) = -971/840", "Add: -971/840 + (-729) = -613331/840"], "final_answer": "-613331/840", "answer_type": "rational", "kind": "expression", "math_text": "971 / (160 - 40 * 25) + (-729)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 971, \"b\": 160, \"c\": 40, \"d\": 25, \"e\": -729}", "seed": "9430200530324404665", "semantic_fingerprint": "sha256:e3e26bf7ce13ce619328d2c16302af1a6e7f867712fbdc031c8a2620b7f1e7b7", "generator_version": "3.0"}
{"id": "v3_val_00006627", "prompt": "Find x: 10(x + 31) + 68 = 8(x - 863)", "solution_steps": ["Expand: 10x + 310 + 68 = 8(x - 863)", "Expand: 10x + 310 + 68 = 8x - 6904", "Combine constants: 10x + 378 = 8x - 6904", "Subtract 8x from both sides: 2x + 378 = -6904", "Subtract 378 from both sides: 2x = -7282", "Divide both sides by 2: x = -3641"], "final_answer": "-3641", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 31) + 68 = 8(x - 863)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 31, \"c\": 68, \"d\": 8, \"e\": 863}", "seed": "17448371322337081192", "semantic_fingerprint": "sha256:afa5c6d1e7efe605c5c699419e9511a40734a4e53d12cf95757f43fb591b784f", "generator_version": "3.0"}
{"id": "v3_val_00006628", "prompt": "Calculate: 427 * (242 + 742) - (-146)", "solution_steps": ["Add: 242 + 742 = 984", "Multiply: 427 * 984 = 420168", "Subtract: 420168 - (-146) = 420314"], "final_answer": "420314", "answer_type": "integer", "kind": "expression", "math_text": "427 * (242 + 742) - (-146)", "variable": null, "family": "expression_3op", "shape": "(- (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 427, \"b\": 242, \"c\": 742, \"d\": -146}", "seed": "2159867793164033996", "semantic_fingerprint": "sha256:5ee81cb2cf0a2c7c80230eacb8af6a103215b2fed9bf7bf80adb159f4dd8cf1d", "generator_version": "3.0"}
{"id": "v3_val_00006629", "prompt": "Evaluate: -13 - (-33)", "solution_steps": ["Subtract: -13 - (-33) = 20"], "final_answer": "20", "answer_type": "integer", "kind": "expression", "math_text": "-13 - (-33)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -33}", "seed": "6555160601735150685", "semantic_fingerprint": "sha256:85cc695bfdfd47762f7fe3b93ecfab0f8067a3ca0a308a529b862f3916cace55", "generator_version": "3.0"}
{"id": "v3_val_00006630", "prompt": "Find x: x - 4 = 10(x + 4)", "solution_steps": ["Expand: x - 4 = 10x + 40", "Subtract 10x from both sides: -9x - 4 = 40", "Add 4 to both sides: -9x = 44", "Divide both sides by -9: x = -44/9"], "final_answer": "-44/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4 = 10(x + 4)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 10, \"c\": 4}", "seed": "11630697381553138644", "semantic_fingerprint": "sha256:3c81e34e93a75e307f1958021605b12a31f3bbbfa906ac5fb1938186d1d400d4", "generator_version": "3.0"}
{"id": "v3_val_00006631", "prompt": "Find x: x = 9(x - 95)", "solution_steps": ["Expand: x = 9x - 855", "Subtract 9x from both sides: -8x = -855", "Divide both sides by -8: x = 855/8"], "final_answer": "855/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 9(x - 95)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 95}", "seed": "15239705746872326443", "semantic_fingerprint": "sha256:4bdc8ebce8f4eaf23a91d0f85ed2a963d03de1cc734e5a937246534c01f663e5", "generator_version": "3.0"}
{"id": "v3_val_00006632", "prompt": "What value of x satisfies -9(x - 56) - 100 = -11(x + 3) - 47?", "solution_steps": ["Expand: -9x + 504 - 100 = -11(x + 3) - 47", "Expand: -9x + 504 - 100 = -11x - 33 - 47", "Combine constants: -9x + 404 = -11x - 33 - 47", "Combine constants: -9x + 404 = -11x - 80", "Add 11x to both sides: 2x + 404 = -80", "Subtract 404 from both sides: 2x = -484", "Divide both sides by 2: x = -242"], "final_answer": "-242", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 56) - 100 = -11(x + 3) - 47", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 56, \"c\": 100, \"d\": -11, \"e\": 3, \"f\": 47}", "seed": "10474966749081423431", "semantic_fingerprint": "sha256:fdbb3f6ba635017b4a6ebfeb4884a51eb995c9305e0a362d376d17ba8a683d37", "generator_version": "3.0"}
{"id": "v3_val_00006633", "prompt": "What is -75 * (936 + (3 + 274))?", "solution_steps": ["Add: 3 + 274 = 277", "Add: 936 + 277 = 1213", "Multiply: -75 * 1213 = -90975"], "final_answer": "-90975", "answer_type": "integer", "kind": "expression", "math_text": "-75 * (936 + (3 + 274))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 936, \"c\": 3, \"d\": 274}", "seed": "15566382639873084139", "semantic_fingerprint": "sha256:e98ffcd527fa3f9181fb96aafdb2e6b36998a8127dcbb4049a5f43f29a1baaf1", "generator_version": "3.0"}
{"id": "v3_val_00006634", "prompt": "Solve for x: -10(x + 9) - 6 = 6(x + 28) - 72", "solution_steps": ["Expand: -10x - 90 - 6 = 6(x + 28) - 72", "Expand: -10x - 90 - 6 = 6x + 168 - 72", "Combine constants: -10x - 96 = 6x + 168 - 72", "Combine constants: -10x - 96 = 6x + 96", "Subtract 6x from both sides: -16x - 96 = 96", "Add 96 to both sides: -16x = 192", "Divide both sides by -16: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 9) - 6 = 6(x + 28) - 72", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 9, \"c\": 6, \"d\": 6, \"e\": 28, \"g\": -72, \"x\": -12}", "seed": "16329110369309474183", "semantic_fingerprint": "sha256:53a12a8bcd4ea932e116f6e1359bbb336ae833df43514b7ab4aa63d4899e1416", "generator_version": "3.0"}
{"id": "v3_val_00006635", "prompt": "Solve the equation -9(x - 994) + 8 = x for x.", "solution_steps": ["Expand: -9x + 8946 + 8 = x", "Combine constants: -9x + 8954 = x", "Subtract x from both sides: -10x + 8954 = 0", "Subtract 8954 from both sides: -10x = -8954", "Divide both sides by -10: x = 4477/5"], "final_answer": "4477/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 994) + 8 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 994, \"c\": 8}", "seed": "11469058838907893019", "semantic_fingerprint": "sha256:ecc27bcb693c7c92bf4ae8d64d8e238a5cf88e5dc677d004cf7f91dc3fd66326", "generator_version": "3.0"}
{"id": "v3_val_00006636", "prompt": "Calculate: 57 - (-7) + (-50 + 90 + 5) * (-84)", "solution_steps": ["Subtract: 57 - (-7) = 64", "Add: -50 + 90 = 40", "Add: 40 + 5 = 45", "Multiply: 45 * (-84) = -3780", "Add: 64 + (-3780) = -3716"], "final_answer": "-3716", "answer_type": "integer", "kind": "expression", "math_text": "57 - (-7) + (-50 + 90 + 5) * (-84)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* (+ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -7, \"c\": -50, \"d\": 90, \"e\": 5, \"f\": -84}", "seed": "5835169426592818330", "semantic_fingerprint": "sha256:4e25dc4564e142383e38edbdd29c256c0e76c189975fcf783530880bf6ddde1c", "generator_version": "3.0"}
{"id": "v3_val_00006637", "prompt": "Solve for x: 12x + 759 = 531", "solution_steps": ["Subtract 759 from both sides: 12x = -228", "Divide both sides by 12: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 759 = 531", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 759, \"d\": 531, \"x\": -19}", "seed": "13369692060082052614", "semantic_fingerprint": "sha256:bc17c8b4b4c859b0025ee8a6fc41add75f78eb16a964f8baa2d854f9cb4c9f9f", "generator_version": "3.0"}
{"id": "v3_val_00006638", "prompt": "Solve the equation 9(x - 261) = 8(x + 98) + 67 for x.", "solution_steps": ["Expand: 9x - 2349 = 8(x + 98) + 67", "Expand: 9x - 2349 = 8x + 784 + 67", "Combine constants: 9x - 2349 = 8x + 851", "Subtract 8x from both sides: x - 2349 = 851", "Add 2349 to both sides: x = 3200"], "final_answer": "3200", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 261) = 8(x + 98) + 67", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 261, \"c\": 8, \"d\": 98, \"e\": 67}", "seed": "13854385024649562545", "semantic_fingerprint": "sha256:5751e238d2fc9de179725b68934f6a87dd291a903045980288b400783ad89161", "generator_version": "3.0"}
{"id": "v3_val_00006639", "prompt": "What value of x satisfies 12(x - 12) - 37 = 59?", "solution_steps": ["Expand: 12x - 144 - 37 = 59", "Combine constants: 12x - 181 = 59", "Add 181 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 - 12) - 37 = 59", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 12, \"c\": 37, \"e\": 59, \"x\": 20}", "seed": "10474557538099410022", "semantic_fingerprint": "sha256:6e04ea3fc2d20cd27877d03d2302599e4dfb8d6a4ae3070016515557dc9acf71", "generator_version": "3.0"}
{"id": "v3_val_00006640", "prompt": "Evaluate: -192 / (-388 + 1)", "solution_steps": ["Add: -388 + 1 = -387", "Divide: -192 / (-387) = 64/129"], "final_answer": "64/129", "answer_type": "rational", "kind": "expression", "math_text": "-192 / (-388 + 1)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -192, \"b\": -388, \"c\": 1}", "seed": "2748762357025707715", "semantic_fingerprint": "sha256:590699e2d7aba8a62216447bf7f99e005ec076db769edb9a28ec010529acba73", "generator_version": "3.0"}
{"id": "v3_val_00006641", "prompt": "Solve the equation -6(x - 80) - 543 = x for x.", "solution_steps": ["Expand: -6x + 480 - 543 = x", "Combine constants: -6x - 63 = x", "Subtract x 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": "-6(x - 80) - 543 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 80, \"d\": -543, \"x\": -9}", "seed": "6845690048309249723", "semantic_fingerprint": "sha256:bb7cdb0441fc96808def4777b1424935d11ba557a5e316fcae84ffd588958c0e", "generator_version": "3.0"}
{"id": "v3_val_00006642", "prompt": "Calculate: -79 / (-29 + 0)", "solution_steps": ["Add: -29 + 0 = -29", "Divide: -79 / (-29) = 79/29"], "final_answer": "79/29", "answer_type": "rational", "kind": "expression", "math_text": "-79 / (-29 + 0)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -29, \"c\": 0}", "seed": "17953942871861099670", "semantic_fingerprint": "sha256:dec7ce7c8073fc4c35f02f25086bafc70dd0c46c01e637bc52a65126563daa98", "generator_version": "3.0"}
{"id": "v3_val_00006643", "prompt": "Evaluate: 0 * (88 * 14 - (-30) - 0) * (-94)", "solution_steps": ["Multiply: 88 * 14 = 1232", "Subtract: 1232 - (-30) = 1262", "Subtract: 1262 - 0 = 1262", "Multiply: 0 * 1262 = 0", "Multiply: 0 * (-94) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (88 * 14 - (-30) - 0) * (-94)", "variable": null, "family": "expression_5op", "shape": "(* (* n (- (- (* n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 88, \"c\": 14, \"d\": -30, \"e\": 0, \"f\": -94}", "seed": "2519899727244862377", "semantic_fingerprint": "sha256:e8231fd4bf0e8be7b6989211e125837680afaa910a2729ae568c807b7b638585", "generator_version": "3.0"}
{"id": "v3_val_00006644", "prompt": "Solve the equation x + 54 = 56 for x.", "solution_steps": ["Subtract 54 from both sides: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 54 = 56", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"c\": 56, \"x\": 2}", "seed": "721184329313479157", "semantic_fingerprint": "sha256:6f0138665042c4639672c00575b90cf89c315389cb566fccee7f3ba7981b167c", "generator_version": "3.0"}
{"id": "v3_val_00006645", "prompt": "Compute: (49 - 36) * 5", "solution_steps": ["Subtract: 49 - 36 = 13", "Multiply: 13 * 5 = 65"], "final_answer": "65", "answer_type": "integer", "kind": "expression", "math_text": "(49 - 36) * 5", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 36, \"c\": 5}", "seed": "5023086558167697318", "semantic_fingerprint": "sha256:61aff44c6b806205d808a92dbeffaea7ff43a951fe395e402a5c4a8c1abf83f1", "generator_version": "3.0"}
{"id": "v3_val_00006646", "prompt": "Calculate: 43 / (55 * 24)", "solution_steps": ["Multiply: 55 * 24 = 1320", "Divide: 43 / 1320 = 43/1320"], "final_answer": "43/1320", "answer_type": "rational", "kind": "expression", "math_text": "43 / (55 * 24)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 55, \"c\": 24}", "seed": "7157889778416499362", "semantic_fingerprint": "sha256:b28e597d8c3e4fc0dce1f6897e168a55af9656a97a393afa882793f4dbd29a3b", "generator_version": "3.0"}
{"id": "v3_val_00006647", "prompt": "Evaluate: 826 + (-37) / (88 * 7)", "solution_steps": ["Multiply: 88 * 7 = 616", "Divide: -37 / 616 = -37/616", "Add: 826 + (-37/616) = 508779/616"], "final_answer": "508779/616", "answer_type": "rational", "kind": "expression", "math_text": "826 + (-37) / (88 * 7)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 826, \"b\": -37, \"c\": 88, \"d\": 7}", "seed": "14957776540009420191", "semantic_fingerprint": "sha256:72f4d8a7db5ab4e9e876eca0b6eb55095642d4f62a734acbc84de9909a065f47", "generator_version": "3.0"}
{"id": "v3_val_00006648", "prompt": "Solve the equation 4(x - 90) = x + 6 for x.", "solution_steps": ["Expand: 4x - 360 = x + 6", "Subtract x from both sides: 3x - 360 = 6", "Add 360 to both sides: 3x = 366", "Divide both sides by 3: x = 122"], "final_answer": "122", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 90) = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 90, \"c\": 6}", "seed": "17471256297081237520", "semantic_fingerprint": "sha256:51d6e2c411f6c153f32dfeabf413a1cb232c577fdb3867516db3579eae0ecb51", "generator_version": "3.0"}
{"id": "v3_val_00006649", "prompt": "Find x: -8x + 60 = 3(x - 856)", "solution_steps": ["Expand: -8x + 60 = 3x - 2568", "Subtract 3x from both sides: -11x + 60 = -2568", "Subtract 60 from both sides: -11x = -2628", "Divide both sides by -11: x = 2628/11"], "final_answer": "2628/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x + 60 = 3(x - 856)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 60, \"c\": 3, \"d\": 856}", "seed": "12493857666330152705", "semantic_fingerprint": "sha256:59e044500778b6e18d2d9ffe68d948074cd8d2370ed4758116a2b66c18fd5125", "generator_version": "3.0"}
{"id": "v3_val_00006650", "prompt": "Compute: 0 / (-494) * (84 / 2 * 9)", "solution_steps": ["Divide: 0 / (-494) = 0", "Divide: 84 / 2 = 42", "Multiply: 42 * 9 = 378", "Multiply: 0 * 378 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-494) * (84 / 2 * 9)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -494, \"c\": 84, \"d\": 2, \"e\": 9}", "seed": "5486060123921192194", "semantic_fingerprint": "sha256:8c5749c2c831891ffd5b93ce9336788042e24f278644cb4a3d916a9d89a0216d", "generator_version": "3.0"}
{"id": "v3_val_00006651", "prompt": "What is 408 * 80?", "solution_steps": ["Multiply: 408 * 80 = 32640"], "final_answer": "32640", "answer_type": "integer", "kind": "expression", "math_text": "408 * 80", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 408, \"b\": 80}", "seed": "395266616067037639", "semantic_fingerprint": "sha256:a5f09975154df35075b0af5964c5b942df497ece157d3fc6f261b2852595873f", "generator_version": "3.0"}
{"id": "v3_val_00006652", "prompt": "Find x: 6(x - 36) + 5 = x", "solution_steps": ["Expand: 6x - 216 + 5 = x", "Combine constants: 6x - 211 = x", "Subtract x from both sides: 5x - 211 = 0", "Add 211 to both sides: 5x = 211", "Divide both sides by 5: x = 211/5"], "final_answer": "211/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 36) + 5 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 36, \"c\": 5}", "seed": "14847122979666156340", "semantic_fingerprint": "sha256:bc4905a7aca3946dd052986d330f33b8e266d6650c5058b3d23fef21f5650d64", "generator_version": "3.0"}
{"id": "v3_val_00006653", "prompt": "Solve for x: 6(x + 7) = 3x - 9", "solution_steps": ["Expand: 6x + 42 = 3x - 9", "Subtract 3x from both sides: 3x + 42 = -9", "Subtract 42 from both sides: 3x = -51", "Divide both sides by 3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 7) = 3x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 3, \"e\": -9, \"x\": -17}", "seed": "12342556726400934076", "semantic_fingerprint": "sha256:29b3e0c61f3aa20ff04bb75f747bed3f3c2f15d633aa2e836b0da6cd1831932f", "generator_version": "3.0"}
{"id": "v3_val_00006654", "prompt": "What is -316 / 448?", "solution_steps": ["Divide: -316 / 448 = -79/112"], "final_answer": "-79/112", "answer_type": "rational", "kind": "expression", "math_text": "-316 / 448", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -316, \"b\": 448}", "seed": "11680704279231663341", "semantic_fingerprint": "sha256:76a3052178cf75336a780d2ef11917dddc06b7499188116037f195c8be470dd5", "generator_version": "3.0"}
{"id": "v3_val_00006655", "prompt": "Solve for x: 2x - 89 = x - 104", "solution_steps": ["Subtract x from both sides: x - 89 = -104", "Add 89 to both sides: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 89 = x - 104", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 89, \"d\": -104, \"x\": -15}", "seed": "3055808261190788005", "semantic_fingerprint": "sha256:32259f623e193863722e4cbd16d8056e10642b3b539f2700d004fa191d548925", "generator_version": "3.0"}
{"id": "v3_val_00006656", "prompt": "Compute: -9 / (-65 - (-5))", "solution_steps": ["Subtract: -65 - (-5) = -60", "Divide: -9 / (-60) = 3/20"], "final_answer": "3/20", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-65 - (-5))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -65, \"c\": -5}", "seed": "3356508022231666853", "semantic_fingerprint": "sha256:da390f52a6b23650bc1b6eb85b3b6cd6d936effb22678a7a478d326ae025f2d8", "generator_version": "3.0"}
{"id": "v3_val_00006657", "prompt": "What value of x satisfies 3(x + 8) - 93 = 6x - 90?", "solution_steps": ["Expand: 3x + 24 - 93 = 6x - 90", "Combine constants: 3x - 69 = 6x - 90", "Subtract 6x from both sides: -3x - 69 = -90", "Add 69 to both sides: -3x = -21", "Divide both sides by -3: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 8) - 93 = 6x - 90", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 93, \"d\": 6, \"f\": -90, \"x\": 7}", "seed": "3360158250055028822", "semantic_fingerprint": "sha256:6dc1502071efdc630b9976125b074b624bc5d95885c750be6a3cf9b48305d301", "generator_version": "3.0"}
{"id": "v3_val_00006658", "prompt": "Solve for x: -12(x + 31) = x + 9", "solution_steps": ["Expand: -12x - 372 = x + 9", "Subtract x from both sides: -13x - 372 = 9", "Add 372 to both sides: -13x = 381", "Divide both sides by -13: x = -381/13"], "final_answer": "-381/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 31) = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 31, \"c\": 9}", "seed": "10396995234087669232", "semantic_fingerprint": "sha256:45880d759db180a7473531221b592d6f1f9ff7db992fced4677c4f26b6e6bb75", "generator_version": "3.0"}
{"id": "v3_val_00006659", "prompt": "Calculate: 317 + (-9)", "solution_steps": ["Add: 317 + (-9) = 308"], "final_answer": "308", "answer_type": "integer", "kind": "expression", "math_text": "317 + (-9)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 317, \"b\": -9}", "seed": "12086683452124013627", "semantic_fingerprint": "sha256:eb813b08be1993ef02ed22b396ff0170a6404794be7be22332eed2e7a167714c", "generator_version": "3.0"}
{"id": "v3_val_00006660", "prompt": "Evaluate: (4 - 808) * 126 / 50", "solution_steps": ["Subtract: 4 - 808 = -804", "Multiply: -804 * 126 = -101304", "Divide: -101304 / 50 = -50652/25"], "final_answer": "-50652/25", "answer_type": "rational", "kind": "expression", "math_text": "(4 - 808) * 126 / 50", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 808, \"c\": 126, \"d\": 50}", "seed": "7745686002768260835", "semantic_fingerprint": "sha256:5ff8f3fedf0048c7cbd19f66a627315e1dd8d9525158c7121a781c01635d4842", "generator_version": "3.0"}
{"id": "v3_val_00006661", "prompt": "Calculate: 654 - (-7)", "solution_steps": ["Subtract: 654 - (-7) = 661"], "final_answer": "661", "answer_type": "integer", "kind": "expression", "math_text": "654 - (-7)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 654, \"b\": -7}", "seed": "11113244160466803627", "semantic_fingerprint": "sha256:25fcaec55bb0f61c299e62ee35d6218cb89f2d43579b393807731a4c67b39d13", "generator_version": "3.0"}
{"id": "v3_val_00006662", "prompt": "Solve the equation 3(x - 70) - 82 = 12x - 166 for x.", "solution_steps": ["Expand: 3x - 210 - 82 = 12x - 166", "Combine constants: 3x - 292 = 12x - 166", "Subtract 12x from both sides: -9x - 292 = -166", "Add 292 to both sides: -9x = 126", "Divide both sides by -9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 70) - 82 = 12x - 166", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 70, \"c\": 82, \"d\": 12, \"f\": -166, \"x\": -14}", "seed": "13959654669091794978", "semantic_fingerprint": "sha256:c1a6ec3d0931bd971675c34537630e264ac5864f82048e5c47278ef9d14e1213", "generator_version": "3.0"}
{"id": "v3_val_00006663", "prompt": "Compute: 70 / (-83)", "solution_steps": ["Divide: 70 / (-83) = -70/83"], "final_answer": "-70/83", "answer_type": "rational", "kind": "expression", "math_text": "70 / (-83)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -83}", "seed": "15005439630774040331", "semantic_fingerprint": "sha256:084874e54b853d2d92aabe71e2c06c9a825a7e145654e3c0cc5a635a0e19322f", "generator_version": "3.0"}
{"id": "v3_val_00006664", "prompt": "Solve for x: 8(x - 72) + 9 = 7x - 565", "solution_steps": ["Expand: 8x - 576 + 9 = 7x - 565", "Combine constants: 8x - 567 = 7x - 565", "Subtract 7x from both sides: x - 567 = -565", "Add 567 to both sides: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 72) + 9 = 7x - 565", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 72, \"c\": 9, \"d\": 7, \"f\": -565, \"x\": 2}", "seed": "11112425912336888839", "semantic_fingerprint": "sha256:8f34aa34978a67ed821978cb9a5dd4382533192de127f06b4c99e2f4605aa4a6", "generator_version": "3.0"}
{"id": "v3_val_00006665", "prompt": "What is 5 * (-3 + (3 + (-29)) - (-2))?", "solution_steps": ["Add: 3 + (-29) = -26", "Add: -3 + (-26) = -29", "Subtract: -29 - (-2) = -27", "Multiply: 5 * (-27) = -135"], "final_answer": "-135", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-3 + (3 + (-29)) - (-2))", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -3, \"c\": 3, \"d\": -29, \"e\": -2}", "seed": "4156284996831113503", "semantic_fingerprint": "sha256:70675841ecf90bef9c8315a942b580aff1e18d3d309bc85ad684671e31687063", "generator_version": "3.0"}
{"id": "v3_val_00006666", "prompt": "What is -9 + (-44 - 8)?", "solution_steps": ["Subtract: -44 - 8 = -52", "Add: -9 + (-52) = -61"], "final_answer": "-61", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (-44 - 8)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -44, \"c\": 8}", "seed": "12754537004853506946", "semantic_fingerprint": "sha256:33e5fe2e7989f8a6333b73912d7a56ff01b848e0815b9566d76d2517a3bbed32", "generator_version": "3.0"}
{"id": "v3_val_00006667", "prompt": "Solve for x: -12(x - 33) - 279 = x", "solution_steps": ["Expand: -12x + 396 - 279 = x", "Combine constants: -12x + 117 = x", "Subtract x from both sides: -13x + 117 = 0", "Subtract 117 from both sides: -13x = -117", "Divide both sides by -13: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 33) - 279 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 33, \"d\": -279, \"x\": 9}", "seed": "13503732981718589771", "semantic_fingerprint": "sha256:860f6f79a04c36d761265344b1a6c2dbdd8edfcbf289b3492dee69cdcbdcb411", "generator_version": "3.0"}
{"id": "v3_val_00006668", "prompt": "Compute: -339 - (-19)", "solution_steps": ["Subtract: -339 - (-19) = -320"], "final_answer": "-320", "answer_type": "integer", "kind": "expression", "math_text": "-339 - (-19)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -339, \"b\": -19}", "seed": "6634512371976580829", "semantic_fingerprint": "sha256:3442a211048f320250f45fa892a1de02f0a5862de682b557abaf1d4d1b8585c5", "generator_version": "3.0"}
{"id": "v3_val_00006669", "prompt": "Evaluate: -1 / (-479) - (-57) + (6 + (-96 + (-390)))", "solution_steps": ["Divide: -1 / (-479) = 1/479", "Subtract: 1/479 - (-57) = 27304/479", "Add: -96 + (-390) = -486", "Add: 6 + (-486) = -480", "Add: 27304/479 + (-480) = -202616/479"], "final_answer": "-202616/479", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-479) - (-57) + (6 + (-96 + (-390)))", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -479, \"c\": -57, \"d\": 6, \"e\": -96, \"f\": -390}", "seed": "2013289247884132980", "semantic_fingerprint": "sha256:8e3f9ace1a1d6f312ff9781fbefda70454f3a4db1efd8220b14c3f14fd067fad", "generator_version": "3.0"}
{"id": "v3_val_00006670", "prompt": "What value of x satisfies 11(x + 200) - 9 = x?", "solution_steps": ["Expand: 11x + 2200 - 9 = x", "Combine constants: 11x + 2191 = x", "Subtract x from both sides: 10x + 2191 = 0", "Subtract 2191 from both sides: 10x = -2191", "Divide both sides by 10: x = -2191/10"], "final_answer": "-2191/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 200) - 9 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 200, \"c\": 9}", "seed": "6764994166553026578", "semantic_fingerprint": "sha256:d3e98d24be70b47ab0517ce6a8b1d5435be7b9c9e9db046639f7f648109f31ce", "generator_version": "3.0"}
{"id": "v3_val_00006671", "prompt": "Compute: 75 + (-4) * (-13)", "solution_steps": ["Multiply: -4 * (-13) = 52", "Add: 75 + 52 = 127"], "final_answer": "127", "answer_type": "integer", "kind": "expression", "math_text": "75 + (-4) * (-13)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -4, \"c\": -13}", "seed": "7134514583426152630", "semantic_fingerprint": "sha256:2370ef798e6e25a3cbead29e76210ee0e70a929687f252ea5aa7a9756a01b9f9", "generator_version": "3.0"}
{"id": "v3_val_00006672", "prompt": "Solve the equation -10x + 153 = 7(x - 23) + 484 for x.", "solution_steps": ["Expand: -10x + 153 = 7x - 161 + 484", "Combine constants: -10x + 153 = 7x + 323", "Subtract 7x from both sides: -17x + 153 = 323", "Subtract 153 from both sides: -17x = 170", "Divide both sides by -17: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x + 153 = 7(x - 23) + 484", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 153, \"c\": 7, \"d\": 23, \"f\": 484, \"x\": -10}", "seed": "1112888711111763463", "semantic_fingerprint": "sha256:eab5857a070df807ddc5a14ded20b00e35be8facf41f33e0f41d8c2e0f06689d", "generator_version": "3.0"}
{"id": "v3_val_00006673", "prompt": "Evaluate: 148 * 45 + (6 - (761 + 295) - (-28))", "solution_steps": ["Multiply: 148 * 45 = 6660", "Add: 761 + 295 = 1056", "Subtract: 6 - 1056 = -1050", "Subtract: -1050 - (-28) = -1022", "Add: 6660 + (-1022) = 5638"], "final_answer": "5638", "answer_type": "integer", "kind": "expression", "math_text": "148 * 45 + (6 - (761 + 295) - (-28))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (- (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 148, \"b\": 45, \"c\": 6, \"d\": 761, \"e\": 295, \"f\": -28}", "seed": "4654984302921581759", "semantic_fingerprint": "sha256:2f522092d447c94a682e8495e381fb534aa852da51deab5d1f2e2af766201a39", "generator_version": "3.0"}
{"id": "v3_val_00006674", "prompt": "What is -978 - (-245 + 89 + (-6 + (-52 + 53)))?", "solution_steps": ["Add: -245 + 89 = -156", "Add: -52 + 53 = 1", "Add: -6 + 1 = -5", "Add: -156 + (-5) = -161", "Subtract: -978 - (-161) = -817"], "final_answer": "-817", "answer_type": "integer", "kind": "expression", "math_text": "-978 - (-245 + 89 + (-6 + (-52 + 53)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ n n) (+ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -978, \"b\": -245, \"c\": 89, \"d\": -6, \"e\": -52, \"f\": 53}", "seed": "4995444603631034857", "semantic_fingerprint": "sha256:33fbaaeaed1cc6271626d44721a7c411a11dca3e95ba4f97b8270855b115e395", "generator_version": "3.0"}
{"id": "v3_val_00006675", "prompt": "What is 61 - (-4)?", "solution_steps": ["Subtract: 61 - (-4) = 65"], "final_answer": "65", "answer_type": "integer", "kind": "expression", "math_text": "61 - (-4)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -4}", "seed": "13882944285180370331", "semantic_fingerprint": "sha256:fc76bca574fffbbb54400576ab2b52ca41fdf3d95c82cabc4b9996406c632038", "generator_version": "3.0"}
{"id": "v3_val_00006676", "prompt": "Compute: 976 / 873", "solution_steps": ["Divide: 976 / 873 = 976/873"], "final_answer": "976/873", "answer_type": "rational", "kind": "expression", "math_text": "976 / 873", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 976, \"b\": 873}", "seed": "18433602727469739762", "semantic_fingerprint": "sha256:ebf7325c1ce9e0cc98e802a28aaeebe90be32587da25800365d7a655fe6af6b3", "generator_version": "3.0"}
{"id": "v3_val_00006677", "prompt": "Evaluate: (79 - (-6 + 141)) * (-620 / 4 / (-8))", "solution_steps": ["Add: -6 + 141 = 135", "Subtract: 79 - 135 = -56", "Divide: -620 / 4 = -155", "Divide: -155 / (-8) = 155/8", "Multiply: -56 * (155/8) = -1085"], "final_answer": "-1085", "answer_type": "integer", "kind": "expression", "math_text": "(79 - (-6 + 141)) * (-620 / 4 / (-8))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -6, \"c\": 141, \"d\": -620, \"e\": 4, \"f\": -8}", "seed": "12307761181225510672", "semantic_fingerprint": "sha256:74e5ca85c138f007ccb15c1a2595d6775c2ec18825d0e8ba05832d2a620ec07b", "generator_version": "3.0"}
{"id": "v3_val_00006678", "prompt": "Find x: 8(x - 28) - 1 = 2(x + 78) - 261", "solution_steps": ["Expand: 8x - 224 - 1 = 2(x + 78) - 261", "Expand: 8x - 224 - 1 = 2x + 156 - 261", "Combine constants: 8x - 225 = 2x + 156 - 261", "Combine constants: 8x - 225 = 2x - 105", "Subtract 2x from both sides: 6x - 225 = -105", "Add 225 to both sides: 6x = 120", "Divide both sides by 6: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 28) - 1 = 2(x + 78) - 261", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 28, \"c\": 1, \"d\": 2, \"e\": 78, \"g\": -261, \"x\": 20}", "seed": "11134098342609911396", "semantic_fingerprint": "sha256:576894bf19562d6868df417b51ff2ff4c24d6cb66cbf61ad39a451467f63e5ef", "generator_version": "3.0"}
{"id": "v3_val_00006679", "prompt": "Evaluate: 51 / ((-5 + (-9)) * 2) / (-259 - (-38))", "solution_steps": ["Add: -5 + (-9) = -14", "Multiply: -14 * 2 = -28", "Divide: 51 / (-28) = -51/28", "Subtract: -259 - (-38) = -221", "Divide: (-51/28) / (-221) = 3/364"], "final_answer": "3/364", "answer_type": "rational", "kind": "expression", "math_text": "51 / ((-5 + (-9)) * 2) / (-259 - (-38))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (* (+ n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -5, \"c\": -9, \"d\": 2, \"e\": -259, \"f\": -38}", "seed": "9124522793635081718", "semantic_fingerprint": "sha256:1e4bb638be42ba78fe3ba2b20612ea804f873e0c724a4036427a6ecf333d772c", "generator_version": "3.0"}
{"id": "v3_val_00006680", "prompt": "Find x: 2x - 537 = -567", "solution_steps": ["Add 537 to both sides: 2x = -30", "Divide both sides by 2: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 537 = -567", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 537, \"d\": -567, \"x\": -15}", "seed": "4382351385986539022", "semantic_fingerprint": "sha256:412c017871d231f5a49a67f6569aa8ba7722a813bc6c34ac41e1cb04ab6851fe", "generator_version": "3.0"}
{"id": "v3_val_00006681", "prompt": "Evaluate: -77 - 1 - 2", "solution_steps": ["Subtract: -77 - 1 = -78", "Subtract: -78 - 2 = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "expression", "math_text": "-77 - 1 - 2", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 1, \"c\": 2}", "seed": "14312713345752499471", "semantic_fingerprint": "sha256:d2758366950941c8eeed6c10e7e7fab431b3728445cb7f529433ebd93b724795", "generator_version": "3.0"}
{"id": "v3_val_00006682", "prompt": "Solve the equation 11(x + 9) = x + 49 for x.", "solution_steps": ["Expand: 11x + 99 = x + 49", "Subtract x from both sides: 10x + 99 = 49", "Subtract 99 from both sides: 10x = -50", "Divide both sides by 10: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 9) = x + 49", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"d\": 49, \"x\": -5}", "seed": "10227493795485966744", "semantic_fingerprint": "sha256:c564a8200522e8f61149386739171b485f0ce5a560979f9b65a712571f1cc42b", "generator_version": "3.0"}
{"id": "v3_val_00006683", "prompt": "Evaluate: -67 / (-8) / (-22)", "solution_steps": ["Divide: -67 / (-8) = 67/8", "Divide: (67/8) / (-22) = -67/176"], "final_answer": "-67/176", "answer_type": "rational", "kind": "expression", "math_text": "-67 / (-8) / (-22)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -8, \"c\": -22}", "seed": "1850213944512210083", "semantic_fingerprint": "sha256:04de8200f3289b417892c374d793633fbe7c7df863901b137a1d4155df3b2bfa", "generator_version": "3.0"}
{"id": "v3_val_00006684", "prompt": "What is 50 / (-8 - 76)?", "solution_steps": ["Subtract: -8 - 76 = -84", "Divide: 50 / (-84) = -25/42"], "final_answer": "-25/42", "answer_type": "rational", "kind": "expression", "math_text": "50 / (-8 - 76)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -8, \"c\": 76}", "seed": "6452947228473514642", "semantic_fingerprint": "sha256:9fbadbf4f3d64515a3da48ba96c6a0355eaaf43fcafadb523f1b7b195db8a91a", "generator_version": "3.0"}
{"id": "v3_val_00006685", "prompt": "What is 874 / (-84 - (-48 - 728))?", "solution_steps": ["Subtract: -48 - 728 = -776", "Subtract: -84 - (-776) = 692", "Divide: 874 / 692 = 437/346"], "final_answer": "437/346", "answer_type": "rational", "kind": "expression", "math_text": "874 / (-84 - (-48 - 728))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 874, \"b\": -84, \"c\": -48, \"d\": 728}", "seed": "16484893374781790592", "semantic_fingerprint": "sha256:2901424320cf08fa62732ed36adc960d557007b15dad55aa7dacdd95b37e7455", "generator_version": "3.0"}
{"id": "v3_val_00006686", "prompt": "Evaluate: (-335 * 0 + (-5)) * (-24) - (-42 - (-875))", "solution_steps": ["Multiply: -335 * 0 = 0", "Add: 0 + (-5) = -5", "Multiply: -5 * (-24) = 120", "Subtract: -42 - (-875) = 833", "Subtract: 120 - 833 = -713"], "final_answer": "-713", "answer_type": "integer", "kind": "expression", "math_text": "(-335 * 0 + (-5)) * (-24) - (-42 - (-875))", "variable": null, "family": "expression_5op", "shape": "(- (* (+ (* n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -335, \"b\": 0, \"c\": -5, \"d\": -24, \"e\": -42, \"f\": -875}", "seed": "1686653848726523495", "semantic_fingerprint": "sha256:070eafe72101aed584d2522459b665555e139b71080e9c06cb488f53d3205354", "generator_version": "3.0"}
{"id": "v3_val_00006687", "prompt": "Solve for x: 5(x + 77) - 765 = 2(x - 2) + 32", "solution_steps": ["Expand: 5x + 385 - 765 = 2(x - 2) + 32", "Expand: 5x + 385 - 765 = 2x - 4 + 32", "Combine constants: 5x - 380 = 2x - 4 + 32", "Combine constants: 5x - 380 = 2x + 28", "Subtract 2x from both sides: 3x - 380 = 28", "Add 380 to both sides: 3x = 408", "Divide both sides by 3: x = 136"], "final_answer": "136", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 77) - 765 = 2(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\": 5, \"b\": 77, \"c\": 765, \"d\": 2, \"e\": 2, \"f\": 32}", "seed": "13417182494090411612", "semantic_fingerprint": "sha256:6f5af784277d15492f83c25f585043ea353b3af45b9d3002ecf9c204feed3115", "generator_version": "3.0"}
{"id": "v3_val_00006688", "prompt": "Evaluate: -89 * (315 + 53)", "solution_steps": ["Add: 315 + 53 = 368", "Multiply: -89 * 368 = -32752"], "final_answer": "-32752", "answer_type": "integer", "kind": "expression", "math_text": "-89 * (315 + 53)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 315, \"c\": 53}", "seed": "15030069746575090100", "semantic_fingerprint": "sha256:f50a9aeea3c462ceeac54b6a83892c252abaae6df62a408fba1def15be1c2f97", "generator_version": "3.0"}
{"id": "v3_val_00006689", "prompt": "Solve the equation x - 38 = -3x for x.", "solution_steps": ["Add 3x to both sides: 4x - 38 = 0", "Add 38 to both sides: 4x = 38", "Divide both sides by 4: x = 19/2"], "final_answer": "19/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 38 = -3x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -3}", "seed": "14501797567914492253", "semantic_fingerprint": "sha256:ac6d592c7b16e42bb46e46c32cbc7d925b6c918b684933b58eaf5ae1eba4baaa", "generator_version": "3.0"}
{"id": "v3_val_00006690", "prompt": "Evaluate: -764 - 550 + 0", "solution_steps": ["Subtract: -764 - 550 = -1314", "Add: -1314 + 0 = -1314"], "final_answer": "-1314", "answer_type": "integer", "kind": "expression", "math_text": "-764 - 550 + 0", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -764, \"b\": 550, \"c\": 0}", "seed": "6082281628255384118", "semantic_fingerprint": "sha256:3098717d66e4b2588ad369bc00cf7658397ce98a2ace92cbe65110678c3c08ea", "generator_version": "3.0"}
{"id": "v3_val_00006691", "prompt": "Compute: -7 * 81 - (-837) * 89", "solution_steps": ["Multiply: -7 * 81 = -567", "Multiply: -837 * 89 = -74493", "Subtract: -567 - (-74493) = 73926"], "final_answer": "73926", "answer_type": "integer", "kind": "expression", "math_text": "-7 * 81 - (-837) * 89", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 81, \"c\": -837, \"d\": 89}", "seed": "2270083844590144533", "semantic_fingerprint": "sha256:f3a1183263638db168cf610cb4bc516f1ec831b2e114ec26cc387ef773619469", "generator_version": "3.0"}
{"id": "v3_val_00006692", "prompt": "Calculate: -62 - 59", "solution_steps": ["Subtract: -62 - 59 = -121"], "final_answer": "-121", "answer_type": "integer", "kind": "expression", "math_text": "-62 - 59", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 59}", "seed": "7795601212281587404", "semantic_fingerprint": "sha256:1c70656ee2a86c2875bee588a5770562b3a22d685156f4d8d8e0fbe923ebe4d7", "generator_version": "3.0"}
{"id": "v3_val_00006693", "prompt": "Calculate: (54 - 0) * (79 * (-46 / (9 * (-453))))", "solution_steps": ["Subtract: 54 - 0 = 54", "Multiply: 9 * (-453) = -4077", "Divide: -46 / (-4077) = 46/4077", "Multiply: 79 * (46/4077) = 3634/4077", "Multiply: 54 * (3634/4077) = 7268/151"], "final_answer": "7268/151", "answer_type": "rational", "kind": "expression", "math_text": "(54 - 0) * (79 * (-46 / (9 * (-453))))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (* n (/ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 0, \"c\": 79, \"d\": -46, \"e\": 9, \"f\": -453}", "seed": "4666986732788036369", "semantic_fingerprint": "sha256:a13967c74e7baf097bca7a4cc63b75b1c3a805c186b6def4cffae5ab6c7524e8", "generator_version": "3.0"}
{"id": "v3_val_00006694", "prompt": "Solve for x: x - 914 = 4(x + 1) - 3", "solution_steps": ["Expand: x - 914 = 4x + 4 - 3", "Combine constants: x - 914 = 4x + 1", "Subtract 4x from both sides: -3x - 914 = 1", "Add 914 to both sides: -3x = 915", "Divide both sides by -3: x = -305"], "final_answer": "-305", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 914 = 4(x + 1) - 3", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 914, \"b\": 4, \"c\": 1, \"d\": 3}", "seed": "18388238590823295106", "semantic_fingerprint": "sha256:e66a885d230a11fcdfaa127632fd8c329ced1201e5582aacf396fa2b1f7f87aa", "generator_version": "3.0"}
{"id": "v3_val_00006695", "prompt": "Solve for x: 12x + 42 = 2(x + 80) + 51", "solution_steps": ["Expand: 12x + 42 = 2x + 160 + 51", "Combine constants: 12x + 42 = 2x + 211", "Subtract 2x from both sides: 10x + 42 = 211", "Subtract 42 from both sides: 10x = 169", "Divide both sides by 10: x = 169/10"], "final_answer": "169/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x + 42 = 2(x + 80) + 51", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 42, \"c\": 2, \"d\": 80, \"e\": 51}", "seed": "12792617687976390459", "semantic_fingerprint": "sha256:585b954c61813e607f09924f9c67db0f60651ef286bc3244a78af40c11cddacf", "generator_version": "3.0"}
{"id": "v3_val_00006696", "prompt": "Evaluate: 9 + (-17 + (-11)) - (-5) / (-3)", "solution_steps": ["Add: -17 + (-11) = -28", "Add: 9 + (-28) = -19", "Divide: -5 / (-3) = 5/3", "Subtract: -19 - 5/3 = -62/3"], "final_answer": "-62/3", "answer_type": "rational", "kind": "expression", "math_text": "9 + (-17 + (-11)) - (-5) / (-3)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -17, \"c\": -11, \"d\": -5, \"e\": -3}", "seed": "1500972127431834908", "semantic_fingerprint": "sha256:aae02e0cf164da117021dbad31388f0304f05023f64ebe6c380a0409e1da1bde", "generator_version": "3.0"}
{"id": "v3_val_00006697", "prompt": "Compute: (9 - 20) * (0 - 96 + (-2) / (-86))", "solution_steps": ["Subtract: 9 - 20 = -11", "Subtract: 0 - 96 = -96", "Divide: -2 / (-86) = 1/43", "Add: -96 + 1/43 = -4127/43", "Multiply: -11 * (-4127/43) = 45397/43"], "final_answer": "45397/43", "answer_type": "rational", "kind": "expression", "math_text": "(9 - 20) * (0 - 96 + (-2) / (-86))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (+ (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 20, \"c\": 0, \"d\": 96, \"e\": -2, \"f\": -86}", "seed": "9762090153378248780", "semantic_fingerprint": "sha256:da6af214e99c7fded558b34fbe0d33ddfbd3d7314ad38a3431c7c2260d8f22ef", "generator_version": "3.0"}
{"id": "v3_val_00006698", "prompt": "Evaluate: -650 * 22", "solution_steps": ["Multiply: -650 * 22 = -14300"], "final_answer": "-14300", "answer_type": "integer", "kind": "expression", "math_text": "-650 * 22", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -650, \"b\": 22}", "seed": "14686631973162207210", "semantic_fingerprint": "sha256:f2c4a1b0014462b6087b628d8ace3ec534eeabe46f6272156f4b037d03ab9049", "generator_version": "3.0"}
{"id": "v3_val_00006699", "prompt": "Compute: -92 / (-678) - (564 - 21)", "solution_steps": ["Divide: -92 / (-678) = 46/339", "Subtract: 564 - 21 = 543", "Subtract: 46/339 - 543 = -184031/339"], "final_answer": "-184031/339", "answer_type": "rational", "kind": "expression", "math_text": "-92 / (-678) - (564 - 21)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -678, \"c\": 564, \"d\": 21}", "seed": "16255937734130132956", "semantic_fingerprint": "sha256:d625b8640291d5990319ad1e1a856d9eae662108016a11ee1ba6c535d8cc5eab", "generator_version": "3.0"}
{"id": "v3_val_00006700", "prompt": "Calculate: 73 - 435", "solution_steps": ["Subtract: 73 - 435 = -362"], "final_answer": "-362", "answer_type": "integer", "kind": "expression", "math_text": "73 - 435", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 435}", "seed": "4483448227766300965", "semantic_fingerprint": "sha256:a3416854ac85dc986f9e09ee0e95fd0fe36c35e8a1fce6b760fc7f57b8993a6a", "generator_version": "3.0"}
{"id": "v3_val_00006701", "prompt": "Compute: 10 - (526 / 74 - (-42))", "solution_steps": ["Divide: 526 / 74 = 263/37", "Subtract: 263/37 - (-42) = 1817/37", "Subtract: 10 - 1817/37 = -1447/37"], "final_answer": "-1447/37", "answer_type": "rational", "kind": "expression", "math_text": "10 - (526 / 74 - (-42))", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 526, \"c\": 74, \"d\": -42}", "seed": "1139211199180613378", "semantic_fingerprint": "sha256:d386afff3c6608635de57fe4ff2d7156f8c618e14b7a8084df3736f9e1ea9f3b", "generator_version": "3.0"}
{"id": "v3_val_00006702", "prompt": "What is 424 / 862 + (-613)?", "solution_steps": ["Divide: 424 / 862 = 212/431", "Add: 212/431 + (-613) = -263991/431"], "final_answer": "-263991/431", "answer_type": "rational", "kind": "expression", "math_text": "424 / 862 + (-613)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 424, \"b\": 862, \"c\": -613}", "seed": "1395041587109028814", "semantic_fingerprint": "sha256:2ac9e2f7af1c93940804e2e1bd580516ec02210cdc4990b1a98d2bc9d622c71d", "generator_version": "3.0"}
{"id": "v3_val_00006703", "prompt": "Calculate: 33 * 92", "solution_steps": ["Multiply: 33 * 92 = 3036"], "final_answer": "3036", "answer_type": "integer", "kind": "expression", "math_text": "33 * 92", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 92}", "seed": "17669156072525137225", "semantic_fingerprint": "sha256:3dba8e76af27052e85ca744fa8d8f794fbd0bdde3edbd2f479e501369d710110", "generator_version": "3.0"}
{"id": "v3_val_00006704", "prompt": "Solve the equation 3(x + 6) - 352 = 2x + 4 for x.", "solution_steps": ["Expand: 3x + 18 - 352 = 2x + 4", "Combine constants: 3x - 334 = 2x + 4", "Subtract 2x from both sides: x - 334 = 4", "Add 334 to both sides: x = 338"], "final_answer": "338", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 6) - 352 = 2x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 352, \"d\": 2, \"e\": 4}", "seed": "13488230395411393221", "semantic_fingerprint": "sha256:34bad029e86bef9154863e50a5cdcdce7972f7bb46ef0d4b9f5c240e9fccaca1", "generator_version": "3.0"}
{"id": "v3_val_00006705", "prompt": "Compute: -6 * (-2 * (-671)) + (-81) * 141 / (-9)", "solution_steps": ["Multiply: -2 * (-671) = 1342", "Multiply: -6 * 1342 = -8052", "Multiply: -81 * 141 = -11421", "Divide: -11421 / (-9) = 1269", "Add: -8052 + 1269 = -6783"], "final_answer": "-6783", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-2 * (-671)) + (-81) * 141 / (-9)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -2, \"c\": -671, \"d\": -81, \"e\": 141, \"f\": -9}", "seed": "2835392776425362712", "semantic_fingerprint": "sha256:0ed38e458786d4f05e946301704183bd0cad9f40a4fd1ae9075425fbcf7e24eb", "generator_version": "3.0"}
{"id": "v3_val_00006706", "prompt": "Solve for x: 12x = 8x + 56", "solution_steps": ["Subtract 8x from both sides: 4x = 56", "Divide both sides by 4: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 8x + 56", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"d\": 56, \"x\": 14}", "seed": "12531252166503105790", "semantic_fingerprint": "sha256:ff3b185f424e8d4f62f251a0b479b0e023b1360361d1797131342ed551b52984", "generator_version": "3.0"}
{"id": "v3_val_00006707", "prompt": "Evaluate: -9 - (-22 + (-72)) + (-2 - 16)", "solution_steps": ["Add: -22 + (-72) = -94", "Subtract: -9 - (-94) = 85", "Subtract: -2 - 16 = -18", "Add: 85 + (-18) = 67"], "final_answer": "67", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-22 + (-72)) + (-2 - 16)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -22, \"c\": -72, \"d\": -2, \"e\": 16}", "seed": "14376762157119128720", "semantic_fingerprint": "sha256:39052c5afb840edd635ebe9921d7bc83fb8d49c1ac5fe781f485d057b5d5648a", "generator_version": "3.0"}
{"id": "v3_val_00006708", "prompt": "Compute: 119 * (8 + 66)", "solution_steps": ["Add: 8 + 66 = 74", "Multiply: 119 * 74 = 8806"], "final_answer": "8806", "answer_type": "integer", "kind": "expression", "math_text": "119 * (8 + 66)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 119, \"b\": 8, \"c\": 66}", "seed": "8909152249978274", "semantic_fingerprint": "sha256:3c3b619821f4eead377e27212fcc52b68072039fc2a2bc12895df10425027bd8", "generator_version": "3.0"}
{"id": "v3_val_00006709", "prompt": "What is -2 - (-133) / (-48)?", "solution_steps": ["Divide: -133 / (-48) = 133/48", "Subtract: -2 - 133/48 = -229/48"], "final_answer": "-229/48", "answer_type": "rational", "kind": "expression", "math_text": "-2 - (-133) / (-48)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -133, \"c\": -48}", "seed": "496536403302677255", "semantic_fingerprint": "sha256:302ebc3f421dd464a2212cca589dd713f9d707e8507de923b452edbfa4d4a42f", "generator_version": "3.0"}
{"id": "v3_val_00006710", "prompt": "Compute: -5 / (-716)", "solution_steps": ["Divide: -5 / (-716) = 5/716"], "final_answer": "5/716", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-716)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -716}", "seed": "10707629476238981287", "semantic_fingerprint": "sha256:6cc752489a134af697d2f0cae43d009d4611d514ec1da09643c80aed0a7782a4", "generator_version": "3.0"}
{"id": "v3_val_00006711", "prompt": "What is -60 + (-912) - 59 / (-4) - (-502)?", "solution_steps": ["Add: -60 + (-912) = -972", "Divide: 59 / (-4) = -59/4", "Subtract: -972 - (-59/4) = -3829/4", "Subtract: -3829/4 - (-502) = -1821/4"], "final_answer": "-1821/4", "answer_type": "rational", "kind": "expression", "math_text": "-60 + (-912) - 59 / (-4) - (-502)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -912, \"c\": 59, \"d\": -4, \"e\": -502}", "seed": "11199865212218956843", "semantic_fingerprint": "sha256:55db3a3325668cd63b324d6f22fc9df6c989496d121889b3f2ffbb8e11efee74", "generator_version": "3.0"}
{"id": "v3_val_00006712", "prompt": "Compute: (4 - 1 - (-7)) / (-422 * (-45) - 2)", "solution_steps": ["Subtract: 4 - 1 = 3", "Subtract: 3 - (-7) = 10", "Multiply: -422 * (-45) = 18990", "Subtract: 18990 - 2 = 18988", "Divide: 10 / 18988 = 5/9494"], "final_answer": "5/9494", "answer_type": "rational", "kind": "expression", "math_text": "(4 - 1 - (-7)) / (-422 * (-45) - 2)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": -7, \"d\": -422, \"e\": -45, \"f\": 2}", "seed": "8863241823017424807", "semantic_fingerprint": "sha256:c5109bc2898ebc9e37f0a994321bda7dcbb8ace3fd5272da25ed973d31571108", "generator_version": "3.0"}
{"id": "v3_val_00006713", "prompt": "Calculate: -4 / ((-31 - (-9)) / (8 / 583))", "solution_steps": ["Subtract: -31 - (-9) = -22", "Divide: 8 / 583 = 8/583", "Divide: -22 / (8/583) = -6413/4", "Divide: -4 / (-6413/4) = 16/6413"], "final_answer": "16/6413", "answer_type": "rational", "kind": "expression", "math_text": "-4 / ((-31 - (-9)) / (8 / 583))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -31, \"c\": -9, \"d\": 8, \"e\": 583}", "seed": "8822554564785316367", "semantic_fingerprint": "sha256:c12991c8390c6fbc0ed9a96d4bce2fa2d71e153f975c489c38ec13394f2d8d05", "generator_version": "3.0"}
{"id": "v3_val_00006714", "prompt": "Compute: 6 / (5 * 1)", "solution_steps": ["Multiply: 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": "5814985003241857760", "semantic_fingerprint": "sha256:d02a38010a9992faa260933932ebf5a6413d3e24fe572c6c0981537ba409d5d0", "generator_version": "3.0"}
{"id": "v3_val_00006715", "prompt": "What value of x satisfies x - 77 = 12(x + 63) - 88?", "solution_steps": ["Expand: x - 77 = 12x + 756 - 88", "Combine constants: x - 77 = 12x + 668", "Subtract 12x from both sides: -11x - 77 = 668", "Add 77 to both sides: -11x = 745", "Divide both sides by -11: x = -745/11"], "final_answer": "-745/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 77 = 12(x + 63) - 88", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 12, \"c\": 63, \"d\": 88}", "seed": "13047313465406586880", "semantic_fingerprint": "sha256:30df59ef5831d7b73c263886ff95c172a7d302baa156b7c8804cadedac284c71", "generator_version": "3.0"}
{"id": "v3_val_00006716", "prompt": "What is -6 / (-82) * (1 + 410)?", "solution_steps": ["Divide: -6 / (-82) = 3/41", "Add: 1 + 410 = 411", "Multiply: (3/41) * 411 = 1233/41"], "final_answer": "1233/41", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-82) * (1 + 410)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -82, \"c\": 1, \"d\": 410}", "seed": "11556968813898674193", "semantic_fingerprint": "sha256:77b86ca15497be11ea6deddb50d8d41f5057f031fb85a97a26936faf27eedb2a", "generator_version": "3.0"}
{"id": "v3_val_00006717", "prompt": "Find x: 3(x - 555) + 127 = 48", "solution_steps": ["Expand: 3x - 1665 + 127 = 48", "Combine constants: 3x - 1538 = 48", "Add 1538 to both sides: 3x = 1586", "Divide both sides by 3: x = 1586/3"], "final_answer": "1586/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 555) + 127 = 48", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 555, \"c\": 127, \"d\": 48}", "seed": "6244988572531219983", "semantic_fingerprint": "sha256:7d9a0d9666815dbe12468fffff00cf8bc0ebe25976b4c1a28a27073c6ae2ad94", "generator_version": "3.0"}
{"id": "v3_val_00006718", "prompt": "Evaluate: -62 - (740 - (-62) + 695 / (76 - (-5)))", "solution_steps": ["Subtract: 740 - (-62) = 802", "Subtract: 76 - (-5) = 81", "Divide: 695 / 81 = 695/81", "Add: 802 + 695/81 = 65657/81", "Subtract: -62 - 65657/81 = -70679/81"], "final_answer": "-70679/81", "answer_type": "rational", "kind": "expression", "math_text": "-62 - (740 - (-62) + 695 / (76 - (-5)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (- n n) (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 740, \"c\": -62, \"d\": 695, \"e\": 76, \"f\": -5}", "seed": "2017322240802436436", "semantic_fingerprint": "sha256:27af70cb179f73cccfdbc1a892148329fe5c9817eab5a86eec996e6102c595c9", "generator_version": "3.0"}
{"id": "v3_val_00006719", "prompt": "Solve the equation -9(x + 7) = x + 127 for x.", "solution_steps": ["Expand: -9x - 63 = x + 127", "Subtract x from both sides: -10x - 63 = 127", "Add 63 to both sides: -10x = 190", "Divide both sides by -10: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 7) = x + 127", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"d\": 127, \"x\": -19}", "seed": "15133887511693302296", "semantic_fingerprint": "sha256:26e4183eefc672f5ea3f1e009e9cd5af636515d45ef99c43a100a50ead38cf64", "generator_version": "3.0"}
{"id": "v3_val_00006720", "prompt": "Compute: 0 / (-4) - 71", "solution_steps": ["Divide: 0 / (-4) = 0", "Subtract: 0 - 71 = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-4) - 71", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": 71}", "seed": "9962876408438545271", "semantic_fingerprint": "sha256:3e1391d9b3feb0fae337fe5728c02c85ce3c5fcba6355a38d442e409212ee125", "generator_version": "3.0"}
{"id": "v3_val_00006721", "prompt": "Solve the equation -12(x + 9) - 113 = x for x.", "solution_steps": ["Expand: -12x - 108 - 113 = x", "Combine constants: -12x - 221 = x", "Subtract x from both sides: -13x - 221 = 0", "Add 221 to both sides: -13x = 221", "Divide both sides by -13: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 9) - 113 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"d\": -113, \"x\": -17}", "seed": "2759852876634703466", "semantic_fingerprint": "sha256:7b44145ed4c9625699f0e7eded8c5395f16ff9d59e99f75d531e664395379875", "generator_version": "3.0"}
{"id": "v3_val_00006722", "prompt": "Calculate: -927 + (-745 + 3 * 278)", "solution_steps": ["Multiply: 3 * 278 = 834", "Add: -745 + 834 = 89", "Add: -927 + 89 = -838"], "final_answer": "-838", "answer_type": "integer", "kind": "expression", "math_text": "-927 + (-745 + 3 * 278)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -927, \"b\": -745, \"c\": 3, \"d\": 278}", "seed": "13572787112266583087", "semantic_fingerprint": "sha256:afa9e71fb984edc30afefbbce44a6ae2e7075f8cc5c824d7395e088e4f8e78aa", "generator_version": "3.0"}
{"id": "v3_val_00006723", "prompt": "What is -58 * 634?", "solution_steps": ["Multiply: -58 * 634 = -36772"], "final_answer": "-36772", "answer_type": "integer", "kind": "expression", "math_text": "-58 * 634", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 634}", "seed": "8895543436413629760", "semantic_fingerprint": "sha256:f606fd3a6030130ea98cf29b1c0905891f38c1883ed79da103d1a6a891428265", "generator_version": "3.0"}
{"id": "v3_val_00006724", "prompt": "Find x: -12(x + 49) + 240 = 12(x + 5)", "solution_steps": ["Expand: -12x - 588 + 240 = 12(x + 5)", "Expand: -12x - 588 + 240 = 12x + 60", "Combine constants: -12x - 348 = 12x + 60", "Subtract 12x from both sides: -24x - 348 = 60", "Add 348 to both sides: -24x = 408", "Divide both sides by -24: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 49) + 240 = 12(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 49, \"c\": 12, \"d\": 5, \"f\": 240, \"x\": -17}", "seed": "11156589456216331269", "semantic_fingerprint": "sha256:9d13d8e4417818becb4ef8c88f4e410af7815f1939a04c8bf63f4d0dcf15e71e", "generator_version": "3.0"}
{"id": "v3_val_00006725", "prompt": "Compute: 4 / (-735 * (-6))", "solution_steps": ["Multiply: -735 * (-6) = 4410", "Divide: 4 / 4410 = 2/2205"], "final_answer": "2/2205", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-735 * (-6))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -735, \"c\": -6}", "seed": "46155814931443731", "semantic_fingerprint": "sha256:4e528a208325c10baae5e8891c5cf469dd250c1ede4c34a24637cead16943e59", "generator_version": "3.0"}
{"id": "v3_val_00006726", "prompt": "Calculate: (43 + 0) / (78 * (-18))", "solution_steps": ["Add: 43 + 0 = 43", "Multiply: 78 * (-18) = -1404", "Divide: 43 / (-1404) = -43/1404"], "final_answer": "-43/1404", "answer_type": "rational", "kind": "expression", "math_text": "(43 + 0) / (78 * (-18))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 0, \"c\": 78, \"d\": -18}", "seed": "2347906173901440163", "semantic_fingerprint": "sha256:e6bbb3d1b5a95d4f0a79997f0486f1e00abdda08d7693a1ec4c97cb7c93ecc04", "generator_version": "3.0"}
{"id": "v3_val_00006727", "prompt": "Compute: (-176 + 897) * 53 + (64 - 1)", "solution_steps": ["Add: -176 + 897 = 721", "Multiply: 721 * 53 = 38213", "Subtract: 64 - 1 = 63", "Add: 38213 + 63 = 38276"], "final_answer": "38276", "answer_type": "integer", "kind": "expression", "math_text": "(-176 + 897) * 53 + (64 - 1)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -176, \"b\": 897, \"c\": 53, \"d\": 64, \"e\": 1}", "seed": "6585431473770975426", "semantic_fingerprint": "sha256:604370eafe5f824fd087c40991f09735794fb8d4d903c767ed5a752f90d99b6c", "generator_version": "3.0"}
{"id": "v3_val_00006728", "prompt": "Compute: 3 * (7 / (-289) - (7 - 79))", "solution_steps": ["Divide: 7 / (-289) = -7/289", "Subtract: 7 - 79 = -72", "Subtract: -7/289 - (-72) = 20801/289", "Multiply: 3 * (20801/289) = 62403/289"], "final_answer": "62403/289", "answer_type": "rational", "kind": "expression", "math_text": "3 * (7 / (-289) - (7 - 79))", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": -289, \"d\": 7, \"e\": 79}", "seed": "8396666271696025512", "semantic_fingerprint": "sha256:fcc77e52ab00ce6b0c8a07854dbadb5db4b19cd57117c7af428f4d7a2fc87293", "generator_version": "3.0"}
{"id": "v3_val_00006729", "prompt": "What is 921 + (-305 - 43 * (-2) - 75)?", "solution_steps": ["Multiply: 43 * (-2) = -86", "Subtract: -305 - (-86) = -219", "Subtract: -219 - 75 = -294", "Add: 921 + (-294) = 627"], "final_answer": "627", "answer_type": "integer", "kind": "expression", "math_text": "921 + (-305 - 43 * (-2) - 75)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 921, \"b\": -305, \"c\": 43, \"d\": -2, \"e\": 75}", "seed": "10628873296775103847", "semantic_fingerprint": "sha256:6ac6775888639a2f53ffd7e35515f9ec75e2a8b573a1c544a71a35c20778a300", "generator_version": "3.0"}
{"id": "v3_val_00006730", "prompt": "Solve the equation x - 94 = 5(x + 65) for x.", "solution_steps": ["Expand: x - 94 = 5x + 325", "Subtract 5x from both sides: -4x - 94 = 325", "Add 94 to both sides: -4x = 419", "Divide both sides by -4: x = -419/4"], "final_answer": "-419/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 94 = 5(x + 65)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 5, \"c\": 65}", "seed": "9989748363062806391", "semantic_fingerprint": "sha256:ad125ec8d6636a7ecf9d5f84680e33a744bfffb5f02766fc8d9017d3dd4c20a7", "generator_version": "3.0"}
{"id": "v3_val_00006731", "prompt": "Compute: -133 * (-877 / 47) - 11", "solution_steps": ["Divide: -877 / 47 = -877/47", "Multiply: -133 * (-877/47) = 116641/47", "Subtract: 116641/47 - 11 = 116124/47"], "final_answer": "116124/47", "answer_type": "rational", "kind": "expression", "math_text": "-133 * (-877 / 47) - 11", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -133, \"b\": -877, \"c\": 47, \"d\": 11}", "seed": "14448647829409406679", "semantic_fingerprint": "sha256:a6f46b261604750605933c5942c15e6c8c9a3891120e858155014d671eb55104", "generator_version": "3.0"}
{"id": "v3_val_00006732", "prompt": "What is -70 / (2 - (-441)) * (6 / 64)?", "solution_steps": ["Subtract: 2 - (-441) = 443", "Divide: -70 / 443 = -70/443", "Divide: 6 / 64 = 3/32", "Multiply: (-70/443) * (3/32) = -105/7088"], "final_answer": "-105/7088", "answer_type": "rational", "kind": "expression", "math_text": "-70 / (2 - (-441)) * (6 / 64)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 2, \"c\": -441, \"d\": 6, \"e\": 64}", "seed": "14641128303040204312", "semantic_fingerprint": "sha256:90c98a7905e5449092f2bb5bf7811ed9160ee9bd4c59597a4ea35d70377fab54", "generator_version": "3.0"}
{"id": "v3_val_00006733", "prompt": "Calculate: (90 - 48) / 941 / (-8)", "solution_steps": ["Subtract: 90 - 48 = 42", "Divide: 42 / 941 = 42/941", "Divide: (42/941) / (-8) = -21/3764"], "final_answer": "-21/3764", "answer_type": "rational", "kind": "expression", "math_text": "(90 - 48) / 941 / (-8)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 48, \"c\": 941, \"d\": -8}", "seed": "16918035192338446982", "semantic_fingerprint": "sha256:fc62672864b4a54de77dc3982d8cbd56b3be3a6cbdf4e1d7870cb50bd67182b9", "generator_version": "3.0"}
{"id": "v3_val_00006734", "prompt": "Find x: x + 7 = 2(x + 8) - 2", "solution_steps": ["Expand: x + 7 = 2x + 16 - 2", "Combine constants: x + 7 = 2x + 14", "Subtract 2x from both sides: -x + 7 = 14", "Subtract 7 from both sides: -x = 7", "Divide both sides by -1: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7 = 2(x + 8) - 2", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 8, \"d\": 2}", "seed": "11639346914088785262", "semantic_fingerprint": "sha256:965c269a42177b5d35b1d2d9dcf00b1ca96c23cf9668e50d5f030cf927b453bf", "generator_version": "3.0"}
{"id": "v3_val_00006735", "prompt": "Solve the equation 12x - 1 = 107 for x.", "solution_steps": ["Add 1 to both sides: 12x = 108", "Divide both sides by 12: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 1 = 107", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"d\": 107, \"x\": 9}", "seed": "10646377488016310214", "semantic_fingerprint": "sha256:bf3e5f5c20ce8eb4fbdeb9ebbe58d30d015b6678b15191008938c0385d3a1dcb", "generator_version": "3.0"}
{"id": "v3_val_00006736", "prompt": "What is -132 * (-129) + (-3) / (-17)?", "solution_steps": ["Multiply: -132 * (-129) = 17028", "Divide: -3 / (-17) = 3/17", "Add: 17028 + 3/17 = 289479/17"], "final_answer": "289479/17", "answer_type": "rational", "kind": "expression", "math_text": "-132 * (-129) + (-3) / (-17)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -132, \"b\": -129, \"c\": -3, \"d\": -17}", "seed": "14495794306436358396", "semantic_fingerprint": "sha256:03e97088577dd3b3dfc60d4bdaaaa651d67b45a532f1949ce1758dd9c3b30a78", "generator_version": "3.0"}
{"id": "v3_val_00006737", "prompt": "Compute: -2 * (-329 * (-6 - 1 * 4) - (-68))", "solution_steps": ["Multiply: 1 * 4 = 4", "Subtract: -6 - 4 = -10", "Multiply: -329 * (-10) = 3290", "Subtract: 3290 - (-68) = 3358", "Multiply: -2 * 3358 = -6716"], "final_answer": "-6716", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-329 * (-6 - 1 * 4) - (-68))", "variable": null, "family": "expression_5op", "shape": "(* n (- (* n (- n (* n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -329, \"c\": -6, \"d\": 1, \"e\": 4, \"f\": -68}", "seed": "18041994909300330269", "semantic_fingerprint": "sha256:c13c7fb83e5255dca4cb7b8a0eda0630da983510ffbeb22eb550c02fff2db905", "generator_version": "3.0"}
{"id": "v3_val_00006738", "prompt": "Evaluate: (-855 + (-11)) / (704 - 29)", "solution_steps": ["Add: -855 + (-11) = -866", "Subtract: 704 - 29 = 675", "Divide: -866 / 675 = -866/675"], "final_answer": "-866/675", "answer_type": "rational", "kind": "expression", "math_text": "(-855 + (-11)) / (704 - 29)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -855, \"b\": -11, \"c\": 704, \"d\": 29}", "seed": "12524025336588518253", "semantic_fingerprint": "sha256:fa48372704bb1a3155a6f4811e1af8f76846b8356d8f9cb2325973ad3a0d149c", "generator_version": "3.0"}
{"id": "v3_val_00006739", "prompt": "Solve the equation -10(x - 598) = 6(x - 5) - 89 for x.", "solution_steps": ["Expand: -10x + 5980 = 6(x - 5) - 89", "Expand: -10x + 5980 = 6x - 30 - 89", "Combine constants: -10x + 5980 = 6x - 119", "Subtract 6x from both sides: -16x + 5980 = -119", "Subtract 5980 from both sides: -16x = -6099", "Divide both sides by -16: x = 6099/16"], "final_answer": "6099/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 598) = 6(x - 5) - 89", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 598, \"c\": 6, \"d\": 5, \"e\": 89}", "seed": "9725199492126372005", "semantic_fingerprint": "sha256:6926e637f6c379debe152c99844e6ed6de88f1cbc22e6a51f1d6edfdc5bb1845", "generator_version": "3.0"}
{"id": "v3_val_00006740", "prompt": "Compute: (-32 - (-801)) / (-1 / ((522 + (-377)) * (-8)))", "solution_steps": ["Subtract: -32 - (-801) = 769", "Add: 522 + (-377) = 145", "Multiply: 145 * (-8) = -1160", "Divide: -1 / (-1160) = 1/1160", "Divide: 769 / (1/1160) = 892040"], "final_answer": "892040", "answer_type": "integer", "kind": "expression", "math_text": "(-32 - (-801)) / (-1 / ((522 + (-377)) * (-8)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ n (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -801, \"c\": -1, \"d\": 522, \"e\": -377, \"f\": -8}", "seed": "2220602056150419380", "semantic_fingerprint": "sha256:65c3ebd53e90ffb5adb04fa501acc56f9e3a297b48de8d297f217aabe562aa65", "generator_version": "3.0"}
{"id": "v3_val_00006741", "prompt": "Evaluate: -15 - 22", "solution_steps": ["Subtract: -15 - 22 = -37"], "final_answer": "-37", "answer_type": "integer", "kind": "expression", "math_text": "-15 - 22", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 22}", "seed": "16347655874579749493", "semantic_fingerprint": "sha256:6a9ccce6029c6fbe77978f4413db94dc073b6e172056af83d687dca1bee6b66f", "generator_version": "3.0"}
{"id": "v3_val_00006742", "prompt": "Solve for x: 9(x - 45) + 373 = 11x", "solution_steps": ["Expand: 9x - 405 + 373 = 11x", "Combine constants: 9x - 32 = 11x", "Subtract 11x from both sides: -2x - 32 = 0", "Add 32 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 - 45) + 373 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 45, \"c\": 11, \"e\": 373, \"x\": -16}", "seed": "9145021014457261441", "semantic_fingerprint": "sha256:60081d63846e233b2485fb854253f28b5b8b2f712f754912ce6a6817033b1521", "generator_version": "3.0"}
{"id": "v3_val_00006743", "prompt": "What is -351 + (-116 - 46 - 782)?", "solution_steps": ["Subtract: -116 - 46 = -162", "Subtract: -162 - 782 = -944", "Add: -351 + (-944) = -1295"], "final_answer": "-1295", "answer_type": "integer", "kind": "expression", "math_text": "-351 + (-116 - 46 - 782)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -351, \"b\": -116, \"c\": 46, \"d\": 782}", "seed": "13659602141954624928", "semantic_fingerprint": "sha256:51adfcb205fd29f8e789d642e1690ba0b528a88e814669827a7c14ff60da4a0d", "generator_version": "3.0"}
{"id": "v3_val_00006744", "prompt": "Evaluate: (-33 - (81 + 2)) * (-5 + (6 + (-666)))", "solution_steps": ["Add: 81 + 2 = 83", "Subtract: -33 - 83 = -116", "Add: 6 + (-666) = -660", "Add: -5 + (-660) = -665", "Multiply: -116 * (-665) = 77140"], "final_answer": "77140", "answer_type": "integer", "kind": "expression", "math_text": "(-33 - (81 + 2)) * (-5 + (6 + (-666)))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 81, \"c\": 2, \"d\": -5, \"e\": 6, \"f\": -666}", "seed": "2481300745824151087", "semantic_fingerprint": "sha256:526b353b60d590362a1a3687433314dd7ec437dd3bf5a455573b574b68a539bc", "generator_version": "3.0"}
{"id": "v3_val_00006745", "prompt": "Calculate: 3 + 30 + (-25)", "solution_steps": ["Add: 3 + 30 = 33", "Add: 33 + (-25) = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "3 + 30 + (-25)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 30, \"c\": -25}", "seed": "4981781480097544865", "semantic_fingerprint": "sha256:6138c897478f3e5b95d80664c68a0d4c89224c000b2ec73498e3c5217fe08d70", "generator_version": "3.0"}
{"id": "v3_val_00006746", "prompt": "Calculate: (-979 + 69) * 16", "solution_steps": ["Add: -979 + 69 = -910", "Multiply: -910 * 16 = -14560"], "final_answer": "-14560", "answer_type": "integer", "kind": "expression", "math_text": "(-979 + 69) * 16", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -979, \"b\": 69, \"c\": 16}", "seed": "1245298003606940999", "semantic_fingerprint": "sha256:78e109df80288c97ab7609dd5fafdb3be86ff832197c773e414502a34ea13112", "generator_version": "3.0"}
{"id": "v3_val_00006747", "prompt": "What value of x satisfies x + 44 = 11x + 4?", "solution_steps": ["Subtract 11x from both sides: -10x + 44 = 4", "Subtract 44 from both sides: -10x = -40", "Divide both sides by -10: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 44 = 11x + 4", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 11, \"c\": 4}", "seed": "16040621796418436799", "semantic_fingerprint": "sha256:b5a46d57ba0518a3d667965629ed3866f837e48e2e0ee546170cb73e333ef93b", "generator_version": "3.0"}
{"id": "v3_val_00006748", "prompt": "Compute: 20 - (-6)", "solution_steps": ["Subtract: 20 - (-6) = 26"], "final_answer": "26", "answer_type": "integer", "kind": "expression", "math_text": "20 - (-6)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": -6}", "seed": "8220006242277050564", "semantic_fingerprint": "sha256:1d081733b7f3d6cdfc23ee72d9b63f4781c5b30c8131f8e476c8dbc9e6bc137e", "generator_version": "3.0"}
{"id": "v3_val_00006749", "prompt": "Compute: -80 / (-8 - (-3))", "solution_steps": ["Subtract: -8 - (-3) = -5", "Divide: -80 / (-5) = 16"], "final_answer": "16", "answer_type": "integer", "kind": "expression", "math_text": "-80 / (-8 - (-3))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -8, \"c\": -3}", "seed": "1509495826017612345", "semantic_fingerprint": "sha256:bd947812cee71d64025f3a4c585a7e5200e7a85c4dc8db49a6d7a3654d4794e8", "generator_version": "3.0"}
{"id": "v3_val_00006750", "prompt": "What is 1 * 159?", "solution_steps": ["Multiply: 1 * 159 = 159"], "final_answer": "159", "answer_type": "integer", "kind": "expression", "math_text": "1 * 159", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 159}", "seed": "11818999031870707983", "semantic_fingerprint": "sha256:b882ce796f7e4c7ea2b5e9a054aedce3686511fc0e82e4a8fa4e907c43c1afa3", "generator_version": "3.0"}
{"id": "v3_val_00006751", "prompt": "What value of x satisfies x + 91 = -6(x + 6) - 6?", "solution_steps": ["Expand: x + 91 = -6x - 36 - 6", "Combine constants: x + 91 = -6x - 42", "Add 6x to both sides: 7x + 91 = -42", "Subtract 91 from both sides: 7x = -133", "Divide both sides by 7: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 91 = -6(x + 6) - 6", "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\": -6, \"x\": -19}", "seed": "4273569239036538614", "semantic_fingerprint": "sha256:eb37b12c359a933cc3e77c562bad59e46618dd79f204b1f3faa561a6b778b1fc", "generator_version": "3.0"}
{"id": "v3_val_00006752", "prompt": "Find x: x - 30 = 4x", "solution_steps": ["Subtract 4x 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": "x - 30 = 4x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": -30, \"x\": -10}", "seed": "8218201111195149384", "semantic_fingerprint": "sha256:25235530c6d2329a1474014d92ea6761c988801d76555b6347c21aa8c079eb0f", "generator_version": "3.0"}
{"id": "v3_val_00006753", "prompt": "Find x: 10(x - 4) - 708 = -3(x + 3) - 843", "solution_steps": ["Expand: 10x - 40 - 708 = -3(x + 3) - 843", "Expand: 10x - 40 - 708 = -3x - 9 - 843", "Combine constants: 10x - 748 = -3x - 9 - 843", "Combine constants: 10x - 748 = -3x - 852", "Add 3x to both sides: 13x - 748 = -852", "Add 748 to both sides: 13x = -104", "Divide both sides by 13: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 4) - 708 = -3(x + 3) - 843", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 708, \"d\": -3, \"e\": 3, \"g\": -843, \"x\": -8}", "seed": "3360950782441841746", "semantic_fingerprint": "sha256:415829d7b88f43872ae9eb7f8c39fb5a12faf1529267d5bb4a8376df3f19116a", "generator_version": "3.0"}
{"id": "v3_val_00006754", "prompt": "Evaluate: 0 * (-15 + 44)", "solution_steps": ["Add: -15 + 44 = 29", "Multiply: 0 * 29 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-15 + 44)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -15, \"c\": 44}", "seed": "15388210620446918131", "semantic_fingerprint": "sha256:7ab1818d4dd15e3f30756854ce94a4faa618ce0f26e6381634bf2acc1609b527", "generator_version": "3.0"}
{"id": "v3_val_00006755", "prompt": "What is (43 - 66 - 20) * (-2) / 10?", "solution_steps": ["Subtract: 43 - 66 = -23", "Subtract: -23 - 20 = -43", "Multiply: -43 * (-2) = 86", "Divide: 86 / 10 = 43/5"], "final_answer": "43/5", "answer_type": "rational", "kind": "expression", "math_text": "(43 - 66 - 20) * (-2) / 10", "variable": null, "family": "expression_4op", "shape": "(/ (* (- (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 66, \"c\": 20, \"d\": -2, \"e\": 10}", "seed": "9833510108536964696", "semantic_fingerprint": "sha256:424d04a3a749cdd1e5fc9c8ebce62943caa0783ba9b53a562675d985569c9ed5", "generator_version": "3.0"}
{"id": "v3_val_00006756", "prompt": "Compute: -17 * (-239) + (-118 + (-9))", "solution_steps": ["Multiply: -17 * (-239) = 4063", "Add: -118 + (-9) = -127", "Add: 4063 + (-127) = 3936"], "final_answer": "3936", "answer_type": "integer", "kind": "expression", "math_text": "-17 * (-239) + (-118 + (-9))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -239, \"c\": -118, \"d\": -9}", "seed": "11315986198383501043", "semantic_fingerprint": "sha256:b11eff2a5548da8ccb8828a2f01d71979cb0f3b42187c662508b5d218b5b9667", "generator_version": "3.0"}
{"id": "v3_val_00006757", "prompt": "Evaluate: (71 + 843) / 5 - (-1) - 65", "solution_steps": ["Add: 71 + 843 = 914", "Divide: 914 / 5 = 914/5", "Subtract: 914/5 - (-1) = 919/5", "Subtract: 919/5 - 65 = 594/5"], "final_answer": "594/5", "answer_type": "rational", "kind": "expression", "math_text": "(71 + 843) / 5 - (-1) - 65", "variable": null, "family": "expression_4op", "shape": "(- (- (/ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 843, \"c\": 5, \"d\": -1, \"e\": 65}", "seed": "9688639884377360897", "semantic_fingerprint": "sha256:63c6d25c7c40b3644715f47607a1fd013fe613eb786b6ecd6a78478a18669290", "generator_version": "3.0"}
{"id": "v3_val_00006758", "prompt": "What is -57 + 978 - (-58) / (-14)?", "solution_steps": ["Add: -57 + 978 = 921", "Divide: -58 / (-14) = 29/7", "Subtract: 921 - 29/7 = 6418/7"], "final_answer": "6418/7", "answer_type": "rational", "kind": "expression", "math_text": "-57 + 978 - (-58) / (-14)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 978, \"c\": -58, \"d\": -14}", "seed": "13913626990000128102", "semantic_fingerprint": "sha256:58b0014753a2eb44c8c7effd01038fde52b6e164d2ed177e977142b0f854eea8", "generator_version": "3.0"}
{"id": "v3_val_00006759", "prompt": "Solve for x: x + 33 = 5(x + 47) - 218", "solution_steps": ["Expand: x + 33 = 5x + 235 - 218", "Combine constants: x + 33 = 5x + 17", "Subtract 5x from both sides: -4x + 33 = 17", "Subtract 33 from both sides: -4x = -16", "Divide both sides by -4: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33 = 5(x + 47) - 218", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 5, \"c\": 47, \"e\": -218, \"x\": 4}", "seed": "18292888239812671171", "semantic_fingerprint": "sha256:a137572d01a4edaea8af2ef3d75cde26c8caece0fc2d8adfe9f24566c70d6e98", "generator_version": "3.0"}
{"id": "v3_val_00006760", "prompt": "Solve for x: x + 4 = 9", "solution_steps": ["Subtract 4 from both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4 = 9", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9}", "seed": "6415055940721867174", "semantic_fingerprint": "sha256:f3dca9ed7ee465c077d18eeae073d4c2a801eed3797018f3d645d1712896bfca", "generator_version": "3.0"}
{"id": "v3_val_00006761", "prompt": "What is -8 * (-6) / (-978) * (-86)?", "solution_steps": ["Multiply: -8 * (-6) = 48", "Divide: 48 / (-978) = -8/163", "Multiply: (-8/163) * (-86) = 688/163"], "final_answer": "688/163", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (-6) / (-978) * (-86)", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -6, \"c\": -978, \"d\": -86}", "seed": "17835041260209770359", "semantic_fingerprint": "sha256:ac45c37e959cd6bef6d817a8f8ef256bab5f9381147efef2fdb4e2e5084e1cf4", "generator_version": "3.0"}
{"id": "v3_val_00006762", "prompt": "What is -342 * 6?", "solution_steps": ["Multiply: -342 * 6 = -2052"], "final_answer": "-2052", "answer_type": "integer", "kind": "expression", "math_text": "-342 * 6", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -342, \"b\": 6}", "seed": "5221901726885117755", "semantic_fingerprint": "sha256:44fb439b4c39c50ad7c38c7b0223b760633eb2e751f8b0350f7e4abaed1771f5", "generator_version": "3.0"}
{"id": "v3_val_00006763", "prompt": "What is 45 / (-33 - (-528))?", "solution_steps": ["Subtract: -33 - (-528) = 495", "Divide: 45 / 495 = 1/11"], "final_answer": "1/11", "answer_type": "rational", "kind": "expression", "math_text": "45 / (-33 - (-528))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -33, \"c\": -528}", "seed": "767046479968682385", "semantic_fingerprint": "sha256:143a192ca7aa0b69e69da7b3ff914f899eee3acccce61742b8fc6dfd437a1f01", "generator_version": "3.0"}
{"id": "v3_val_00006764", "prompt": "Calculate: -8 * 0 / (-43 - (236 - 239))", "solution_steps": ["Multiply: -8 * 0 = 0", "Subtract: 236 - 239 = -3", "Subtract: -43 - (-3) = -40", "Divide: 0 / (-40) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 0 / (-43 - (236 - 239))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0, \"c\": -43, \"d\": 236, \"e\": 239}", "seed": "4808227428068218885", "semantic_fingerprint": "sha256:7fc82469e8d9ace84035cb0a0ac8f5363839760e7499687d4ec99521224b27a4", "generator_version": "3.0"}
{"id": "v3_val_00006765", "prompt": "Solve the equation 5(x - 4) + 8 = 9x - 20 for x.", "solution_steps": ["Expand: 5x - 20 + 8 = 9x - 20", "Combine constants: 5x - 12 = 9x - 20", "Subtract 9x from both sides: -4x - 12 = -20", "Add 12 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 - 4) + 8 = 9x - 20", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 8, \"d\": 9, \"f\": -20, \"x\": 2}", "seed": "3928884925870209949", "semantic_fingerprint": "sha256:6982e5861b806bbbd1a1244ec88dc2a5f60dc16e97b55b4f493cb69d892b6a22", "generator_version": "3.0"}
{"id": "v3_val_00006766", "prompt": "Solve for x: 4(x + 2) - 67 = 9(x - 3) - 47", "solution_steps": ["Expand: 4x + 8 - 67 = 9(x - 3) - 47", "Expand: 4x + 8 - 67 = 9x - 27 - 47", "Combine constants: 4x - 59 = 9x - 27 - 47", "Combine constants: 4x - 59 = 9x - 74", "Subtract 9x from both sides: -5x - 59 = -74", "Add 59 to both sides: -5x = -15", "Divide both sides by -5: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 2) - 67 = 9(x - 3) - 47", "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\": 67, \"d\": 9, \"e\": 3, \"g\": -47, \"x\": 3}", "seed": "8281783069431507040", "semantic_fingerprint": "sha256:73725270c786082b6e0067fa97dcee304c2e06021eb6c008e6c1f0b5d346673b", "generator_version": "3.0"}
{"id": "v3_val_00006767", "prompt": "Solve for x: 8x = -88", "solution_steps": ["Divide both sides by 8: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -88", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": -88, \"x\": -11}", "seed": "6594162507615895185", "semantic_fingerprint": "sha256:0730ebaaf9b5a54d63afd0a080663317c6fcb0a3cfa618e7ade1b2c33758163b", "generator_version": "3.0"}
{"id": "v3_val_00006768", "prompt": "Compute: -654 * 71", "solution_steps": ["Multiply: -654 * 71 = -46434"], "final_answer": "-46434", "answer_type": "integer", "kind": "expression", "math_text": "-654 * 71", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -654, \"b\": 71}", "seed": "2900035396491367545", "semantic_fingerprint": "sha256:37ce8cd3b88f80c6577146e0bbe8b19dc4c7de14820de0ea488075347f1f329a", "generator_version": "3.0"}
{"id": "v3_val_00006769", "prompt": "Calculate: 64 + 54 + (693 + 0)", "solution_steps": ["Add: 64 + 54 = 118", "Add: 693 + 0 = 693", "Add: 118 + 693 = 811"], "final_answer": "811", "answer_type": "integer", "kind": "expression", "math_text": "64 + 54 + (693 + 0)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 54, \"c\": 693, \"d\": 0}", "seed": "6593484763691245574", "semantic_fingerprint": "sha256:ca36b160035f8fea24312d6ff1ec20a81422f2a7f678600b9cab3b4559cfbf99", "generator_version": "3.0"}
{"id": "v3_val_00006770", "prompt": "Solve for x: -2x + 6 = -3(x + 3) - 471", "solution_steps": ["Expand: -2x + 6 = -3x - 9 - 471", "Combine constants: -2x + 6 = -3x - 480", "Add 3x to both sides: x + 6 = -480", "Subtract 6 from both sides: x = -486"], "final_answer": "-486", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x + 6 = -3(x + 3) - 471", "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\": 3, \"e\": 471}", "seed": "13406919078277101119", "semantic_fingerprint": "sha256:734b3aaafe460a9d35d52d47c370d0231feb8a89610a55e2b7e6388a6fdca0b1", "generator_version": "3.0"}
{"id": "v3_val_00006771", "prompt": "What value of x satisfies -12(x + 1) = 6(x - 229)?", "solution_steps": ["Expand: -12x - 12 = 6(x - 229)", "Expand: -12x - 12 = 6x - 1374", "Subtract 6x from both sides: -18x - 12 = -1374", "Add 12 to both sides: -18x = -1362", "Divide both sides by -18: x = 227/3"], "final_answer": "227/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 1) = 6(x - 229)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 1, \"c\": 6, \"d\": 229}", "seed": "3809847023675560563", "semantic_fingerprint": "sha256:5a09e5be6d25f77b533ff4d2af92c094c45f5eed17bac0e0ff4fc24825d42fb4", "generator_version": "3.0"}
{"id": "v3_val_00006772", "prompt": "Find x: x - 2 = 10x", "solution_steps": ["Subtract 10x from both sides: -9x - 2 = 0", "Add 2 to both sides: -9x = 2", "Divide both sides by -9: x = -2/9"], "final_answer": "-2/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2 = 10x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10}", "seed": "2934230654526544594", "semantic_fingerprint": "sha256:4d68e7489476ec483a02353a4f8186d4a6a34894a6e794def98f99638b37f01f", "generator_version": "3.0"}
{"id": "v3_val_00006773", "prompt": "What value of x satisfies -12(x - 7) + 90 = 7(x - 79) + 765?", "solution_steps": ["Expand: -12x + 84 + 90 = 7(x - 79) + 765", "Expand: -12x + 84 + 90 = 7x - 553 + 765", "Combine constants: -12x + 174 = 7x - 553 + 765", "Combine constants: -12x + 174 = 7x + 212", "Subtract 7x from both sides: -19x + 174 = 212", "Subtract 174 from both sides: -19x = 38", "Divide both sides by -19: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 7) + 90 = 7(x - 79) + 765", "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\": 90, \"d\": 7, \"e\": 79, \"g\": 765, \"x\": -2}", "seed": "8649494999337349253", "semantic_fingerprint": "sha256:73f95662c89fddc3de33c2f8c49fcf6af1513b484bbed1aa5c4905ebf19344ad", "generator_version": "3.0"}
{"id": "v3_val_00006774", "prompt": "Solve for x: -9x + 4 = x + 74", "solution_steps": ["Subtract x from both sides: -10x + 4 = 74", "Subtract 4 from both sides: -10x = 70", "Divide both sides by -10: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 4 = x + 74", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"d\": 74, \"x\": -7}", "seed": "13217916822077339711", "semantic_fingerprint": "sha256:2b6bb831d796c498086811ae64067d0cccce209d652884600fb445c3428062b0", "generator_version": "3.0"}
{"id": "v3_val_00006775", "prompt": "Solve for x: x + 1 = 12x - 10", "solution_steps": ["Subtract 12x from both sides: -11x + 1 = -10", "Subtract 1 from both sides: -11x = -11", "Divide both sides by -11: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1 = 12x - 10", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 12, \"d\": -10, \"x\": 1}", "seed": "15511830855675228725", "semantic_fingerprint": "sha256:69b4dd561d453ccf6e219afc80d25df9efb4155d16de9632df4ce778b2f8df25", "generator_version": "3.0"}
{"id": "v3_val_00006776", "prompt": "Solve for x: 8x + 4 = x + 4", "solution_steps": ["Subtract x from both sides: 7x + 4 = 4", "Subtract 4 from both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 4 = x + 4", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"d\": 4, \"x\": 0}", "seed": "3105758944013969510", "semantic_fingerprint": "sha256:58be82f953bd84e6f75d5376aeaed8945603c16fb4a99b956ee67cd76c95e307", "generator_version": "3.0"}
{"id": "v3_val_00006777", "prompt": "What value of x satisfies 10(x + 3) = 4(x + 63)?", "solution_steps": ["Expand: 10x + 30 = 4(x + 63)", "Expand: 10x + 30 = 4x + 252", "Subtract 4x from both sides: 6x + 30 = 252", "Subtract 30 from both sides: 6x = 222", "Divide both sides by 6: x = 37"], "final_answer": "37", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 3) = 4(x + 63)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 4, \"d\": 63}", "seed": "9178869247363115437", "semantic_fingerprint": "sha256:ad3cdeb9d4c77be47d7311cafa3e7e0efd9f99443f76114cf30f506cce3462ab", "generator_version": "3.0"}
{"id": "v3_val_00006778", "prompt": "Evaluate: -5 / (-3 / 905) / 595", "solution_steps": ["Divide: -3 / 905 = -3/905", "Divide: -5 / (-3/905) = 4525/3", "Divide: (4525/3) / 595 = 905/357"], "final_answer": "905/357", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-3 / 905) / 595", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -3, \"c\": 905, \"d\": 595}", "seed": "14053436218001325402", "semantic_fingerprint": "sha256:af9562ea3cff253208367620c9b18a06fa0a618d8bfb0bde305f22a831cfd9e6", "generator_version": "3.0"}
{"id": "v3_val_00006779", "prompt": "Find x: -6(x - 20) = x + 92", "solution_steps": ["Expand: -6x + 120 = x + 92", "Subtract x from both sides: -7x + 120 = 92", "Subtract 120 from both sides: -7x = -28", "Divide both sides by -7: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 20) = x + 92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 20, \"d\": 92, \"x\": 4}", "seed": "8798116396111713846", "semantic_fingerprint": "sha256:93ff5f39abd3e416f6fc2e4bb0672fb49f0597a926d500cb7eaa36d6869951a7", "generator_version": "3.0"}
{"id": "v3_val_00006780", "prompt": "What value of x satisfies 5(x + 67) + 71 = -6(x - 516) + 994?", "solution_steps": ["Expand: 5x + 335 + 71 = -6(x - 516) + 994", "Expand: 5x + 335 + 71 = -6x + 3096 + 994", "Combine constants: 5x + 406 = -6x + 3096 + 994", "Combine constants: 5x + 406 = -6x + 4090", "Add 6x to both sides: 11x + 406 = 4090", "Subtract 406 from both sides: 11x = 3684", "Divide both sides by 11: x = 3684/11"], "final_answer": "3684/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 67) + 71 = -6(x - 516) + 994", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 67, \"c\": 71, \"d\": -6, \"e\": 516, \"f\": 994}", "seed": "10731699777619283752", "semantic_fingerprint": "sha256:079e6fd11a20eaa881accd46a02cdf0f82e08badd9efbe29b87b2e6e823123d3", "generator_version": "3.0"}
{"id": "v3_val_00006781", "prompt": "Evaluate: 9 - (-216 + (-44 - 315 - (-773) * 78))", "solution_steps": ["Subtract: -44 - 315 = -359", "Multiply: -773 * 78 = -60294", "Subtract: -359 - (-60294) = 59935", "Add: -216 + 59935 = 59719", "Subtract: 9 - 59719 = -59710"], "final_answer": "-59710", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-216 + (-44 - 315 - (-773) * 78))", "variable": null, "family": "expression_5op", "shape": "(- n (+ n (- (- n n) (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -216, \"c\": -44, \"d\": 315, \"e\": -773, \"f\": 78}", "seed": "14347834988089228032", "semantic_fingerprint": "sha256:edcdf0e5ceb7a0a5faa5b99bbea114a5b2ae5b7dc0e842922ab50b2fa376f663", "generator_version": "3.0"}
{"id": "v3_val_00006782", "prompt": "Solve the equation 9(x - 2) = x - 10 for x.", "solution_steps": ["Expand: 9x - 18 = x - 10", "Subtract x from both sides: 8x - 18 = -10", "Add 18 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 - 2) = x - 10", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"d\": -10, \"x\": 1}", "seed": "17256495752386382317", "semantic_fingerprint": "sha256:81df04118ce56aa387bd7579f5d324c746383888dcfacf0865ed783a57542e1e", "generator_version": "3.0"}
{"id": "v3_val_00006783", "prompt": "Find x: x + 54 = 3(x + 5) + 47", "solution_steps": ["Expand: x + 54 = 3x + 15 + 47", "Combine constants: x + 54 = 3x + 62", "Subtract 3x from both sides: -2x + 54 = 62", "Subtract 54 from both sides: -2x = 8", "Divide both sides by -2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 54 = 3(x + 5) + 47", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 3, \"c\": 5, \"e\": 47, \"x\": -4}", "seed": "14466101218029237012", "semantic_fingerprint": "sha256:6742a2a28530fa3a7f5eb6da3d7d6dabb471f554f71626ecead5ec0470e7c000", "generator_version": "3.0"}
{"id": "v3_val_00006784", "prompt": "Calculate: (3 - (57 - (-51))) * (-84 - (-410))", "solution_steps": ["Subtract: 57 - (-51) = 108", "Subtract: 3 - 108 = -105", "Subtract: -84 - (-410) = 326", "Multiply: -105 * 326 = -34230"], "final_answer": "-34230", "answer_type": "integer", "kind": "expression", "math_text": "(3 - (57 - (-51))) * (-84 - (-410))", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 57, \"c\": -51, \"d\": -84, \"e\": -410}", "seed": "792826845478880085", "semantic_fingerprint": "sha256:6f3c64143361bbc04742863f3557521a039cddcf64e54be8507227b84489c74d", "generator_version": "3.0"}
{"id": "v3_val_00006785", "prompt": "Compute: 98 / (-6 + (-1))", "solution_steps": ["Add: -6 + (-1) = -7", "Divide: 98 / (-7) = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "expression", "math_text": "98 / (-6 + (-1))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -6, \"c\": -1}", "seed": "8953427294374191402", "semantic_fingerprint": "sha256:3a70c05b1cc269c68378e788b67a2f22e24b4320ae367dbadca9a2f8537b8d94", "generator_version": "3.0"}
{"id": "v3_val_00006786", "prompt": "What is 434 / (-8 - 200)?", "solution_steps": ["Subtract: -8 - 200 = -208", "Divide: 434 / (-208) = -217/104"], "final_answer": "-217/104", "answer_type": "rational", "kind": "expression", "math_text": "434 / (-8 - 200)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 434, \"b\": -8, \"c\": 200}", "seed": "17706424797325918906", "semantic_fingerprint": "sha256:0cc5a96043fcc7d3315813b637d0db794a58f404a845b5864b92246c1437bf97", "generator_version": "3.0"}
{"id": "v3_val_00006787", "prompt": "Compute: (81 / (-445) - (-2)) * (53 + (28 - (-48)))", "solution_steps": ["Divide: 81 / (-445) = -81/445", "Subtract: -81/445 - (-2) = 809/445", "Subtract: 28 - (-48) = 76", "Add: 53 + 76 = 129", "Multiply: (809/445) * 129 = 104361/445"], "final_answer": "104361/445", "answer_type": "rational", "kind": "expression", "math_text": "(81 / (-445) - (-2)) * (53 + (28 - (-48)))", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -445, \"c\": -2, \"d\": 53, \"e\": 28, \"f\": -48}", "seed": "17227509262389326660", "semantic_fingerprint": "sha256:338d3dea4bb46723c8a4dad6cf9f7e356d20b07931c35fb9001802d7c3c2d543", "generator_version": "3.0"}
{"id": "v3_val_00006788", "prompt": "Calculate: 334 / (17 + 4)", "solution_steps": ["Add: 17 + 4 = 21", "Divide: 334 / 21 = 334/21"], "final_answer": "334/21", "answer_type": "rational", "kind": "expression", "math_text": "334 / (17 + 4)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 334, \"b\": 17, \"c\": 4}", "seed": "13998419306410202583", "semantic_fingerprint": "sha256:f83b3d5bdfecddf17f8abae2905d5dc5d025ed60c4e8b5091a9e140e42eaca4f", "generator_version": "3.0"}
{"id": "v3_val_00006789", "prompt": "What is 792 / 2?", "solution_steps": ["Divide: 792 / 2 = 396"], "final_answer": "396", "answer_type": "integer", "kind": "expression", "math_text": "792 / 2", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 792, \"b\": 2}", "seed": "9604688722499256968", "semantic_fingerprint": "sha256:a97c858417e189cf15b35c3fd44e3be4bac48be8724b7d125fc1d975aaa930f3", "generator_version": "3.0"}
{"id": "v3_val_00006790", "prompt": "What is 488 - (-33)?", "solution_steps": ["Subtract: 488 - (-33) = 521"], "final_answer": "521", "answer_type": "integer", "kind": "expression", "math_text": "488 - (-33)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 488, \"b\": -33}", "seed": "4376831849370408658", "semantic_fingerprint": "sha256:e02e3a5f48c15800e12cd19e0d5ee462278c7e05a024f58c48c53fdf1e06cd07", "generator_version": "3.0"}
{"id": "v3_val_00006791", "prompt": "What value of x satisfies 4x + 5 = 8(x + 9) - 43?", "solution_steps": ["Expand: 4x + 5 = 8x + 72 - 43", "Combine constants: 4x + 5 = 8x + 29", "Subtract 8x from both sides: -4x + 5 = 29", "Subtract 5 from both sides: -4x = 24", "Divide both sides by -4: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 5 = 8(x + 9) - 43", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 8, \"d\": 9, \"f\": -43, \"x\": -6}", "seed": "4416082792608534302", "semantic_fingerprint": "sha256:763727dd1eae6d24b000bc0f8b7cd09badf405585ef99b40871d074d55351f2a", "generator_version": "3.0"}
{"id": "v3_val_00006792", "prompt": "What is 6 * 84 - 7?", "solution_steps": ["Multiply: 6 * 84 = 504", "Subtract: 504 - 7 = 497"], "final_answer": "497", "answer_type": "integer", "kind": "expression", "math_text": "6 * 84 - 7", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 84, \"c\": 7}", "seed": "17788478008351056361", "semantic_fingerprint": "sha256:b3619a028fa29b6446c9dc7707387893a85703bb272d41e60a41f84705265df0", "generator_version": "3.0"}
{"id": "v3_val_00006793", "prompt": "Compute: (22 + (3 - 3 + 0)) / (-973)", "solution_steps": ["Subtract: 3 - 3 = 0", "Add: 0 + 0 = 0", "Add: 22 + 0 = 22", "Divide: 22 / (-973) = -22/973"], "final_answer": "-22/973", "answer_type": "rational", "kind": "expression", "math_text": "(22 + (3 - 3 + 0)) / (-973)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 3, \"c\": 3, \"d\": 0, \"e\": -973}", "seed": "5374602473974970659", "semantic_fingerprint": "sha256:8a294360833fc45d8cf7409d5cf9aec46a0ccb0818f461c570d2083e3ed4d1b5", "generator_version": "3.0"}
{"id": "v3_val_00006794", "prompt": "Find x: 12(x + 6) - 34 = 6(x - 37) + 278", "solution_steps": ["Expand: 12x + 72 - 34 = 6(x - 37) + 278", "Expand: 12x + 72 - 34 = 6x - 222 + 278", "Combine constants: 12x + 38 = 6x - 222 + 278", "Combine constants: 12x + 38 = 6x + 56", "Subtract 6x from both sides: 6x + 38 = 56", "Subtract 38 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 + 6) - 34 = 6(x - 37) + 278", "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\": 34, \"d\": 6, \"e\": 37, \"g\": 278, \"x\": 3}", "seed": "9215276942806032980", "semantic_fingerprint": "sha256:0cd316bf51147faa54f3eb20d273bf8386b3c4ef693d16fa272db5bd34b7be85", "generator_version": "3.0"}
{"id": "v3_val_00006795", "prompt": "Calculate: -44 / (-2 / (-735)) / 5", "solution_steps": ["Divide: -2 / (-735) = 2/735", "Divide: -44 / (2/735) = -16170", "Divide: -16170 / 5 = -3234"], "final_answer": "-3234", "answer_type": "integer", "kind": "expression", "math_text": "-44 / (-2 / (-735)) / 5", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -2, \"c\": -735, \"d\": 5}", "seed": "3564265820679619936", "semantic_fingerprint": "sha256:6c95ca360b987a546c8941838d6677e705d7e2a8b20338ea8016a4d06791f0d2", "generator_version": "3.0"}
{"id": "v3_val_00006796", "prompt": "Compute: 30 / (66 * 49)", "solution_steps": ["Multiply: 66 * 49 = 3234", "Divide: 30 / 3234 = 5/539"], "final_answer": "5/539", "answer_type": "rational", "kind": "expression", "math_text": "30 / (66 * 49)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 66, \"c\": 49}", "seed": "11384216024167054990", "semantic_fingerprint": "sha256:0cf319c2d09f4d550278321cd4ee6d45f7610943ee8c0ef198ad15dc81896956", "generator_version": "3.0"}
{"id": "v3_val_00006797", "prompt": "Solve for x: 4x = -12x - 128", "solution_steps": ["Add 12x to both sides: 16x = -128", "Divide both sides by 16: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = -12x - 128", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -12, \"d\": -128, \"x\": -8}", "seed": "12938648245224594171", "semantic_fingerprint": "sha256:589c11d499b2dd2b86f2c88bf29372bf820ac46ed1eefce3a37dde42049e2b55", "generator_version": "3.0"}
{"id": "v3_val_00006798", "prompt": "Find x: -5x = -7(x - 5) - 47", "solution_steps": ["Expand: -5x = -7x + 35 - 47", "Combine constants: -5x = -7x - 12", "Add 7x to both sides: 2x = -12", "Divide both sides by 2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = -7(x - 5) - 47", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -7, \"c\": 5, \"e\": -47, \"x\": -6}", "seed": "4486035298814210383", "semantic_fingerprint": "sha256:2286a69d249cad670f8358c189fac316a0a0c844b77c197cef37b2ac2a8e0611", "generator_version": "3.0"}
{"id": "v3_val_00006799", "prompt": "Compute: 36 / 7 + (-29 + 7)", "solution_steps": ["Divide: 36 / 7 = 36/7", "Add: -29 + 7 = -22", "Add: 36/7 + (-22) = -118/7"], "final_answer": "-118/7", "answer_type": "rational", "kind": "expression", "math_text": "36 / 7 + (-29 + 7)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 7, \"c\": -29, \"d\": 7}", "seed": "6922753868406849629", "semantic_fingerprint": "sha256:942df3e282599b2c42d37e5089cbca33ad9623980bf01689f48339c3d5d1b2af", "generator_version": "3.0"}
{"id": "v3_val_00006800", "prompt": "Solve the equation 12(x - 3) - 89 = -9x + 16 for x.", "solution_steps": ["Expand: 12x - 36 - 89 = -9x + 16", "Combine constants: 12x - 125 = -9x + 16", "Add 9x to both sides: 21x - 125 = 16", "Add 125 to both sides: 21x = 141", "Divide both sides by 21: x = 47/7"], "final_answer": "47/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 3) - 89 = -9x + 16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 89, \"d\": -9, \"e\": 16}", "seed": "16103227289365278970", "semantic_fingerprint": "sha256:e51c133c8d030778baf294ca5811440eefdc8cf2da86f698d212dc6c9a9ff3f9", "generator_version": "3.0"}
{"id": "v3_val_00006801", "prompt": "Solve the equation x + 706 = 12(x + 68) for x.", "solution_steps": ["Expand: x + 706 = 12x + 816", "Subtract 12x from both sides: -11x + 706 = 816", "Subtract 706 from both sides: -11x = 110", "Divide both sides by -11: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 706 = 12(x + 68)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 68, \"d\": 706, \"x\": -10}", "seed": "15893711715898648369", "semantic_fingerprint": "sha256:e988b9e2f816140620342febc9dea7703b4feaec28c6cde836da4fad805ee463", "generator_version": "3.0"}
{"id": "v3_val_00006802", "prompt": "Evaluate: -2 - 132 * 96", "solution_steps": ["Multiply: 132 * 96 = 12672", "Subtract: -2 - 12672 = -12674"], "final_answer": "-12674", "answer_type": "integer", "kind": "expression", "math_text": "-2 - 132 * 96", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 132, \"c\": 96}", "seed": "2662184838919987220", "semantic_fingerprint": "sha256:4920b2a70a23cf31e7bad8bc023e4bbbbb54ac3e35fb0c7c4b303f6fee3841c2", "generator_version": "3.0"}
{"id": "v3_val_00006803", "prompt": "What value of x satisfies 7x = 0?", "solution_steps": ["Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 0", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": 0, \"x\": 0}", "seed": "12641610279709783696", "semantic_fingerprint": "sha256:bf648fd90ca68d9c166d32d9253c2f7071164d22c3b6565e5761e8bbee0607aa", "generator_version": "3.0"}
{"id": "v3_val_00006804", "prompt": "What is -754 / 24 - 44?", "solution_steps": ["Divide: -754 / 24 = -377/12", "Subtract: -377/12 - 44 = -905/12"], "final_answer": "-905/12", "answer_type": "rational", "kind": "expression", "math_text": "-754 / 24 - 44", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -754, \"b\": 24, \"c\": 44}", "seed": "17484656103933893929", "semantic_fingerprint": "sha256:4bcc41fc075d240e6552e3604d34329f6bc4db8cf8dd0c849b1cae3ed6ac1256", "generator_version": "3.0"}
{"id": "v3_val_00006805", "prompt": "What value of x satisfies 3x + 21 = 12(x - 84) - 126?", "solution_steps": ["Expand: 3x + 21 = 12x - 1008 - 126", "Combine constants: 3x + 21 = 12x - 1134", "Subtract 12x from both sides: -9x + 21 = -1134", "Subtract 21 from both sides: -9x = -1155", "Divide both sides by -9: x = 385/3"], "final_answer": "385/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x + 21 = 12(x - 84) - 126", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 21, \"c\": 12, \"d\": 84, \"e\": 126}", "seed": "15934249316849146073", "semantic_fingerprint": "sha256:2949f502f3695428a781b4d070dc1d4e9acf1f610e49bf4bf4e3fba65c205f24", "generator_version": "3.0"}
{"id": "v3_val_00006806", "prompt": "What is 5 * 94?", "solution_steps": ["Multiply: 5 * 94 = 470"], "final_answer": "470", "answer_type": "integer", "kind": "expression", "math_text": "5 * 94", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 94}", "seed": "5469133182110461789", "semantic_fingerprint": "sha256:87e1e053bf7044d2a6093a2215941fa4fa5c42f63d6d8959ec7fe985bb953f8c", "generator_version": "3.0"}
{"id": "v3_val_00006807", "prompt": "What value of x satisfies x + 11 = 11x + 91?", "solution_steps": ["Subtract 11x from both sides: -10x + 11 = 91", "Subtract 11 from both sides: -10x = 80", "Divide both sides by -10: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 11 = 11x + 91", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 11, \"d\": 91, \"x\": -8}", "seed": "15610598026392443789", "semantic_fingerprint": "sha256:6dcbb323c2bfcb27ab3ec4c4b1e6c4ebc70b7a56e550702354f851e574a882ef", "generator_version": "3.0"}
{"id": "v3_val_00006808", "prompt": "Find x: x + 5 = 3", "solution_steps": ["Subtract 5 from both sides: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5 = 3", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3}", "seed": "4599845638647637996", "semantic_fingerprint": "sha256:96a57baee29f770432a5e4ebf6f8d9a1335ad5a4158f6dd3e509cf54892e257b", "generator_version": "3.0"}
{"id": "v3_val_00006809", "prompt": "Evaluate: -43 * (-92 / (-34)) * 8", "solution_steps": ["Divide: -92 / (-34) = 46/17", "Multiply: -43 * (46/17) = -1978/17", "Multiply: (-1978/17) * 8 = -15824/17"], "final_answer": "-15824/17", "answer_type": "rational", "kind": "expression", "math_text": "-43 * (-92 / (-34)) * 8", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -92, \"c\": -34, \"d\": 8}", "seed": "6123143202226057700", "semantic_fingerprint": "sha256:f355a8b5a297069e21e44064e1afe4696673b429fb3ae7d1117135d7b58871b7", "generator_version": "3.0"}
{"id": "v3_val_00006810", "prompt": "Find x: 5x + 322 = 11(x + 2)", "solution_steps": ["Expand: 5x + 322 = 11x + 22", "Subtract 11x from both sides: -6x + 322 = 22", "Subtract 322 from both sides: -6x = -300", "Divide both sides by -6: x = 50"], "final_answer": "50", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 322 = 11(x + 2)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 322, \"c\": 11, \"d\": 2}", "seed": "11466144002655546373", "semantic_fingerprint": "sha256:d5ea6816f70d98513fa6717d6170eec3ef2f9a9a331e0097cc226858539b2735", "generator_version": "3.0"}
{"id": "v3_val_00006811", "prompt": "Evaluate: 0 + 1 * ((930 + 75) * 13 / (-871))", "solution_steps": ["Add: 930 + 75 = 1005", "Multiply: 1005 * 13 = 13065", "Divide: 13065 / (-871) = -15", "Multiply: 1 * (-15) = -15", "Add: 0 + (-15) = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "0 + 1 * ((930 + 75) * 13 / (-871))", "variable": null, "family": "expression_5op", "shape": "(+ n (* n (/ (* (+ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": 930, \"d\": 75, \"e\": 13, \"f\": -871}", "seed": "9497558540412356750", "semantic_fingerprint": "sha256:bcaf4cd335e620bdf8f47b4c4ef27fe32a51942bb7ee6f45612bef69880b0ac8", "generator_version": "3.0"}
{"id": "v3_val_00006812", "prompt": "Find x: 3(x + 90) = 2x", "solution_steps": ["Expand: 3x + 270 = 2x", "Subtract 2x from both sides: x + 270 = 0", "Subtract 270 from both sides: x = -270"], "final_answer": "-270", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 90) = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 90, \"c\": 2}", "seed": "12465737616251863397", "semantic_fingerprint": "sha256:1bab86c56bb65ae82f82c9fec262fe4b7547cb81ca363ff18fa4030b8a207dd3", "generator_version": "3.0"}
{"id": "v3_val_00006813", "prompt": "Evaluate: 7 * (277 / (-49)) * 8", "solution_steps": ["Divide: 277 / (-49) = -277/49", "Multiply: 7 * (-277/49) = -277/7", "Multiply: (-277/7) * 8 = -2216/7"], "final_answer": "-2216/7", "answer_type": "rational", "kind": "expression", "math_text": "7 * (277 / (-49)) * 8", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 277, \"c\": -49, \"d\": 8}", "seed": "16527915280511762493", "semantic_fingerprint": "sha256:f12683a8194548270b9d9b4893306e706dbe26b5a6616ef0c86a3d29f3910115", "generator_version": "3.0"}
{"id": "v3_val_00006814", "prompt": "Calculate: (-3 - (-9)) / (-389)", "solution_steps": ["Subtract: -3 - (-9) = 6", "Divide: 6 / (-389) = -6/389"], "final_answer": "-6/389", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - (-9)) / (-389)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -9, \"c\": -389}", "seed": "18347352558239080408", "semantic_fingerprint": "sha256:08411583781658d7b833b9ee6ba254bc58546d65c32a75e303c67b44f1a4cd67", "generator_version": "3.0"}
{"id": "v3_val_00006815", "prompt": "What is (-1 + (-41)) * ((-864 + 0) / 39)?", "solution_steps": ["Add: -1 + (-41) = -42", "Add: -864 + 0 = -864", "Divide: -864 / 39 = -288/13", "Multiply: -42 * (-288/13) = 12096/13"], "final_answer": "12096/13", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + (-41)) * ((-864 + 0) / 39)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -41, \"c\": -864, \"d\": 0, \"e\": 39}", "seed": "17473041208172142251", "semantic_fingerprint": "sha256:dec8f42f38d3d5d50ed6d5320f43b1707d78bf322c8f01b7d73e9151c80f40d9", "generator_version": "3.0"}
{"id": "v3_val_00006816", "prompt": "What value of x satisfies -3(x + 25) = -11x - 43?", "solution_steps": ["Expand: -3x - 75 = -11x - 43", "Add 11x to both sides: 8x - 75 = -43", "Add 75 to both sides: 8x = 32", "Divide both sides by 8: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 25) = -11x - 43", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 25, \"c\": -11, \"e\": -43, \"x\": 4}", "seed": "6358962312870234576", "semantic_fingerprint": "sha256:2f931a041eedd42953e919c0030e01da231b536abea47662c0ad8f48750dbedf", "generator_version": "3.0"}
{"id": "v3_val_00006817", "prompt": "Evaluate: (2 + 8) / (-5) - 0", "solution_steps": ["Add: 2 + 8 = 10", "Divide: 10 / (-5) = -2", "Subtract: -2 - 0 = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "(2 + 8) / (-5) - 0", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": -5, \"d\": 0}", "seed": "16274064563679035729", "semantic_fingerprint": "sha256:43b7e252c891b55ed8a5fd9def186f6f2fe37b517c4eddcd234613fd09f29f00", "generator_version": "3.0"}
{"id": "v3_val_00006818", "prompt": "Calculate: -33 + (-66) / (-30 / (-886)) * (95 / (-7))", "solution_steps": ["Divide: -30 / (-886) = 15/443", "Divide: -66 / (15/443) = -9746/5", "Divide: 95 / (-7) = -95/7", "Multiply: (-9746/5) * (-95/7) = 185174/7", "Add: -33 + 185174/7 = 184943/7"], "final_answer": "184943/7", "answer_type": "rational", "kind": "expression", "math_text": "-33 + (-66) / (-30 / (-886)) * (95 / (-7))", "variable": null, "family": "expression_5op", "shape": "(+ n (* (/ n (/ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -66, \"c\": -30, \"d\": -886, \"e\": 95, \"f\": -7}", "seed": "16080094599299988889", "semantic_fingerprint": "sha256:48f01bf33e38c1d40b9d33e865550b9e89ac26bc410eb6b3438be50d84a237b3", "generator_version": "3.0"}
{"id": "v3_val_00006819", "prompt": "Compute: 491 / (0 + 81 * (-13)) * (73 / (-2))", "solution_steps": ["Multiply: 81 * (-13) = -1053", "Add: 0 + (-1053) = -1053", "Divide: 491 / (-1053) = -491/1053", "Divide: 73 / (-2) = -73/2", "Multiply: (-491/1053) * (-73/2) = 35843/2106"], "final_answer": "35843/2106", "answer_type": "rational", "kind": "expression", "math_text": "491 / (0 + 81 * (-13)) * (73 / (-2))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ n (* n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 491, \"b\": 0, \"c\": 81, \"d\": -13, \"e\": 73, \"f\": -2}", "seed": "4546558458219329227", "semantic_fingerprint": "sha256:cd9fb50f04002d911f5139571fd6b289c312a44ab1107f5709c41c09e7536610", "generator_version": "3.0"}
{"id": "v3_val_00006820", "prompt": "Solve for x: 10(x + 4) = -76", "solution_steps": ["Expand: 10x + 40 = -76", "Subtract 40 from both sides: 10x = -116", "Divide both sides by 10: x = -58/5"], "final_answer": "-58/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 4) = -76", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": -76}", "seed": "5243437573990319118", "semantic_fingerprint": "sha256:cb232554b1d8c90ce8f9ec074bdaec283cf57bfd2533537a3cca71a1ad530616", "generator_version": "3.0"}
{"id": "v3_val_00006821", "prompt": "Find x: 6(x - 9) - 1 = -19", "solution_steps": ["Expand: 6x - 54 - 1 = -19", "Combine constants: 6x - 55 = -19", "Add 55 to both sides: 6x = 36", "Divide both sides by 6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 9) - 1 = -19", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 1, \"e\": -19, \"x\": 6}", "seed": "11208465321310602", "semantic_fingerprint": "sha256:2e1d966ffc3310f97403fd07019f33791ddc006de3af31ef8ac40bc5d649bc6f", "generator_version": "3.0"}
{"id": "v3_val_00006822", "prompt": "Compute: 58 * 16", "solution_steps": ["Multiply: 58 * 16 = 928"], "final_answer": "928", "answer_type": "integer", "kind": "expression", "math_text": "58 * 16", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 16}", "seed": "4451669146948514432", "semantic_fingerprint": "sha256:eca5a5e8e5ee558c81c141c70c9cb26dae02b674cd4c82c4bc9fa61b1553a6b6", "generator_version": "3.0"}
{"id": "v3_val_00006823", "prompt": "Calculate: (-72 + (-77)) / (82 / (32 + (-2)))", "solution_steps": ["Add: -72 + (-77) = -149", "Add: 32 + (-2) = 30", "Divide: 82 / 30 = 41/15", "Divide: -149 / (41/15) = -2235/41"], "final_answer": "-2235/41", "answer_type": "rational", "kind": "expression", "math_text": "(-72 + (-77)) / (82 / (32 + (-2)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -77, \"c\": 82, \"d\": 32, \"e\": -2}", "seed": "1060411012004820274", "semantic_fingerprint": "sha256:9c2cc32c9398666b94b7385eb8645ee3635a4ae1663825c37bd6fac8a0026606", "generator_version": "3.0"}
{"id": "v3_val_00006824", "prompt": "What is 792 / (-1)?", "solution_steps": ["Divide: 792 / (-1) = -792"], "final_answer": "-792", "answer_type": "integer", "kind": "expression", "math_text": "792 / (-1)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 792, \"b\": -1}", "seed": "7852223240190026997", "semantic_fingerprint": "sha256:fbc871635306c373694ccc83bccc3308dc4fc746f67d26351c0782bee8320320", "generator_version": "3.0"}
{"id": "v3_val_00006825", "prompt": "Calculate: 39 - (-6)", "solution_steps": ["Subtract: 39 - (-6) = 45"], "final_answer": "45", "answer_type": "integer", "kind": "expression", "math_text": "39 - (-6)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -6}", "seed": "15170497954274882527", "semantic_fingerprint": "sha256:bde6b37b4227158515f34bf49bb8008511282f1a640760c5718302b0a65350a1", "generator_version": "3.0"}
{"id": "v3_val_00006826", "prompt": "What is -797 * 7?", "solution_steps": ["Multiply: -797 * 7 = -5579"], "final_answer": "-5579", "answer_type": "integer", "kind": "expression", "math_text": "-797 * 7", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -797, \"b\": 7}", "seed": "1665129254526865820", "semantic_fingerprint": "sha256:9f60d666884341ec431644aa84aae90a8a66ef24bfd8a91e8293a2d66704bc68", "generator_version": "3.0"}
{"id": "v3_val_00006827", "prompt": "Solve the equation x - 742 = -732 for x.", "solution_steps": ["Add 742 to both sides: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 742 = -732", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 742, \"c\": -732, \"x\": 10}", "seed": "11968036659511113068", "semantic_fingerprint": "sha256:2371cbe385b98a6484b303d24bfe4bc3a9c4960052439da4b39006ed15714887", "generator_version": "3.0"}
{"id": "v3_val_00006828", "prompt": "Compute: 6 * (-51) - (-696 - (-5)) / 64", "solution_steps": ["Multiply: 6 * (-51) = -306", "Subtract: -696 - (-5) = -691", "Divide: -691 / 64 = -691/64", "Subtract: -306 - (-691/64) = -18893/64"], "final_answer": "-18893/64", "answer_type": "rational", "kind": "expression", "math_text": "6 * (-51) - (-696 - (-5)) / 64", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -51, \"c\": -696, \"d\": -5, \"e\": 64}", "seed": "10830803345250863996", "semantic_fingerprint": "sha256:e26c83fdd3835815b779a7d954c58d18e29be90787ad6eeff0e8e96c334fe90e", "generator_version": "3.0"}
{"id": "v3_val_00006829", "prompt": "Find x: x = -4(x - 70) - 60", "solution_steps": ["Expand: x = -4x + 280 - 60", "Combine constants: x = -4x + 220", "Add 4x to both sides: 5x = 220", "Divide both sides by 5: x = 44"], "final_answer": "44", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -4(x - 70) - 60", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 70, \"c\": 60}", "seed": "17134579536818768718", "semantic_fingerprint": "sha256:4a43350675da66018df6f2949fdb41d924690d48bb173dd78cefdd2b818f84bb", "generator_version": "3.0"}
{"id": "v3_val_00006830", "prompt": "Calculate: 4 / (-33 + 7)", "solution_steps": ["Add: -33 + 7 = -26", "Divide: 4 / (-26) = -2/13"], "final_answer": "-2/13", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-33 + 7)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -33, \"c\": 7}", "seed": "12447674597325738994", "semantic_fingerprint": "sha256:2e3af0f0906859d7082a190ae8c2e3de73dafe4f09c4c9638ead23220032774a", "generator_version": "3.0"}
{"id": "v3_val_00006831", "prompt": "Solve the equation 6x + 109 = -11 for x.", "solution_steps": ["Subtract 109 from both sides: 6x = -120", "Divide both sides by 6: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 109 = -11", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 109, \"d\": -11, \"x\": -20}", "seed": "15701208178474200876", "semantic_fingerprint": "sha256:66411b6e548697338a3aa81e86c28d18f719b46e597e94dab4de135661b35183", "generator_version": "3.0"}
{"id": "v3_val_00006832", "prompt": "Solve for x: -11(x - 9) = 11(x + 26)", "solution_steps": ["Expand: -11x + 99 = 11(x + 26)", "Expand: -11x + 99 = 11x + 286", "Subtract 11x from both sides: -22x + 99 = 286", "Subtract 99 from both sides: -22x = 187", "Divide both sides by -22: x = -17/2"], "final_answer": "-17/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 9) = 11(x + 26)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 9, \"c\": 11, \"d\": 26}", "seed": "12800277575130907721", "semantic_fingerprint": "sha256:ad51893b7985cc6ecca3843f20e5a36bd61ce9fb7c8e1689bb9a3ef927401aec", "generator_version": "3.0"}
{"id": "v3_val_00006833", "prompt": "Calculate: (9 + (-266)) / (-157) * (-114)", "solution_steps": ["Add: 9 + (-266) = -257", "Divide: -257 / (-157) = 257/157", "Multiply: (257/157) * (-114) = -29298/157"], "final_answer": "-29298/157", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-266)) / (-157) * (-114)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -266, \"c\": -157, \"d\": -114}", "seed": "10214095736353835876", "semantic_fingerprint": "sha256:6f9dea4c5cfa2e45264f6a29fe9b149bb29a4831a18fc134123d621aae30a427", "generator_version": "3.0"}
{"id": "v3_val_00006834", "prompt": "Evaluate: 22 / 30 / 10", "solution_steps": ["Divide: 22 / 30 = 11/15", "Divide: (11/15) / 10 = 11/150"], "final_answer": "11/150", "answer_type": "rational", "kind": "expression", "math_text": "22 / 30 / 10", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 30, \"c\": 10}", "seed": "9891732573947430422", "semantic_fingerprint": "sha256:cc918cbbed5681ca0f1ca593fa46d5700107ae0a80a143ddf89bf58904ddca75", "generator_version": "3.0"}
{"id": "v3_val_00006835", "prompt": "Compute: -93 + (-265) / (-22) - 38 * 62", "solution_steps": ["Divide: -265 / (-22) = 265/22", "Add: -93 + 265/22 = -1781/22", "Multiply: 38 * 62 = 2356", "Subtract: -1781/22 - 2356 = -53613/22"], "final_answer": "-53613/22", "answer_type": "rational", "kind": "expression", "math_text": "-93 + (-265) / (-22) - 38 * 62", "variable": null, "family": "expression_4op", "shape": "(- (+ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -265, \"c\": -22, \"d\": 38, \"e\": 62}", "seed": "4156020350735544463", "semantic_fingerprint": "sha256:83838d50d016d9a093c5a25698b06af51723c2fffe0f5858b377fdd7bb74d7f9", "generator_version": "3.0"}
{"id": "v3_val_00006836", "prompt": "Solve the equation 4x + 7 = x - 29 for x.", "solution_steps": ["Subtract x from both sides: 3x + 7 = -29", "Subtract 7 from both sides: 3x = -36", "Divide both sides by 3: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 7 = x - 29", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"d\": -29, \"x\": -12}", "seed": "5004190361958429480", "semantic_fingerprint": "sha256:750d3ea01892d583d4716933dce6a97197abed3520d43a53fdadcacb8f4edee7", "generator_version": "3.0"}
{"id": "v3_val_00006837", "prompt": "What value of x satisfies x - 82 = 8x - 208?", "solution_steps": ["Subtract 8x from both sides: -7x - 82 = -208", "Add 82 to both sides: -7x = -126", "Divide both sides by -7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 82 = 8x - 208", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 8, \"d\": -208, \"x\": 18}", "seed": "3349987835283096342", "semantic_fingerprint": "sha256:19ec63bb1902c6d6edcbaf526ebe87ece8df057bacb295bf52bc6b972bdb9b10", "generator_version": "3.0"}
{"id": "v3_val_00006838", "prompt": "What value of x satisfies x = 2(x + 644) + 20?", "solution_steps": ["Expand: x = 2x + 1288 + 20", "Combine constants: x = 2x + 1308", "Subtract 2x from both sides: -x = 1308", "Divide both sides by -1: x = -1308"], "final_answer": "-1308", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x + 644) + 20", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 644, \"c\": 20}", "seed": "6250980570773374329", "semantic_fingerprint": "sha256:fdadd4d856b434b9b3cdb1bdc152d78aa358cd22e953d9ae45b2fd31b115cc49", "generator_version": "3.0"}
{"id": "v3_val_00006839", "prompt": "What is (-57 * (-6) + (-72)) / (-925)?", "solution_steps": ["Multiply: -57 * (-6) = 342", "Add: 342 + (-72) = 270", "Divide: 270 / (-925) = -54/185"], "final_answer": "-54/185", "answer_type": "rational", "kind": "expression", "math_text": "(-57 * (-6) + (-72)) / (-925)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -6, \"c\": -72, \"d\": -925}", "seed": "3294736052309468299", "semantic_fingerprint": "sha256:1043d7c5148f0e3805fd0c0d5abff2d25de8b9588683823d3142d4ebd2fdbf8c", "generator_version": "3.0"}
{"id": "v3_val_00006840", "prompt": "Find x: 11(x + 8) + 4 = 8(x - 2) - 4", "solution_steps": ["Expand: 11x + 88 + 4 = 8(x - 2) - 4", "Expand: 11x + 88 + 4 = 8x - 16 - 4", "Combine constants: 11x + 92 = 8x - 16 - 4", "Combine constants: 11x + 92 = 8x - 20", "Subtract 8x from both sides: 3x + 92 = -20", "Subtract 92 from both sides: 3x = -112", "Divide both sides by 3: x = -112/3"], "final_answer": "-112/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 8) + 4 = 8(x - 2) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 4, \"d\": 8, \"e\": 2, \"f\": 4}", "seed": "13424425094801830635", "semantic_fingerprint": "sha256:dcd8800c29a3fe0433de4092c513a2cb2d299f8924bcf9b7634d21d661211048", "generator_version": "3.0"}
{"id": "v3_val_00006841", "prompt": "Solve the equation 12(x - 4) - 522 = -2(x + 15) - 694 for x.", "solution_steps": ["Expand: 12x - 48 - 522 = -2(x + 15) - 694", "Expand: 12x - 48 - 522 = -2x - 30 - 694", "Combine constants: 12x - 570 = -2x - 30 - 694", "Combine constants: 12x - 570 = -2x - 724", "Add 2x to both sides: 14x - 570 = -724", "Add 570 to both sides: 14x = -154", "Divide both sides by 14: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 4) - 522 = -2(x + 15) - 694", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 522, \"d\": -2, \"e\": 15, \"g\": -694, \"x\": -11}", "seed": "13806384126104812541", "semantic_fingerprint": "sha256:047be620994bf276864715acc8b3add5696feb358f3d8b605096207939e530d3", "generator_version": "3.0"}
{"id": "v3_val_00006842", "prompt": "What is 60 + (-66 - (-42))?", "solution_steps": ["Subtract: -66 - (-42) = -24", "Add: 60 + (-24) = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "60 + (-66 - (-42))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -66, \"c\": -42}", "seed": "14956401931479272962", "semantic_fingerprint": "sha256:5201b7dcb840ed62ef97d2bd8dc06f8cb6be7a583139fc9fca969df49b177cf8", "generator_version": "3.0"}
{"id": "v3_val_00006843", "prompt": "Solve the equation x + 6 = -14 for x.", "solution_steps": ["Subtract 6 from both sides: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6 = -14", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": -14, \"x\": -20}", "seed": "9826827187257722052", "semantic_fingerprint": "sha256:5584eeb82d438d5f3972af495715e39ed148d688836935a1aa2e8ea8500ecf58", "generator_version": "3.0"}
{"id": "v3_val_00006844", "prompt": "Compute: -3 * (-8 + 9) * 42", "solution_steps": ["Add: -8 + 9 = 1", "Multiply: -3 * 1 = -3", "Multiply: -3 * 42 = -126"], "final_answer": "-126", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-8 + 9) * 42", "variable": null, "family": "expression_3op", "shape": "(* (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -8, \"c\": 9, \"d\": 42}", "seed": "6996185786749570615", "semantic_fingerprint": "sha256:c60e82b48ed329b819c164efb5e65b9f38d0051c9d3d3cccd006028ac90c1b46", "generator_version": "3.0"}
{"id": "v3_val_00006845", "prompt": "What value of x satisfies -11(x - 67) = 682?", "solution_steps": ["Expand: -11x + 737 = 682", "Subtract 737 from both sides: -11x = -55", "Divide both sides by -11: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 67) = 682", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 67, \"d\": 682, \"x\": 5}", "seed": "17330211781003756251", "semantic_fingerprint": "sha256:36c1b681658830c63f22c02f8e4c5f1c879ec5e5c9bb1b50fb2ed35a27ce613c", "generator_version": "3.0"}
{"id": "v3_val_00006846", "prompt": "Evaluate: 4 + (-972) + (-3 - 7 + 61) * (-90)", "solution_steps": ["Add: 4 + (-972) = -968", "Subtract: -3 - 7 = -10", "Add: -10 + 61 = 51", "Multiply: 51 * (-90) = -4590", "Add: -968 + (-4590) = -5558"], "final_answer": "-5558", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-972) + (-3 - 7 + 61) * (-90)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* (+ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -972, \"c\": -3, \"d\": 7, \"e\": 61, \"f\": -90}", "seed": "16862332799989745803", "semantic_fingerprint": "sha256:3c605f221f1688757fa1aa01a82cf65350dc9df64e2462334a378338abd27ff6", "generator_version": "3.0"}
{"id": "v3_val_00006847", "prompt": "What is -86 / (-8) - (-6) / (-978)?", "solution_steps": ["Divide: -86 / (-8) = 43/4", "Divide: -6 / (-978) = 1/163", "Subtract: 43/4 - 1/163 = 7005/652"], "final_answer": "7005/652", "answer_type": "rational", "kind": "expression", "math_text": "-86 / (-8) - (-6) / (-978)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -8, \"c\": -6, \"d\": -978}", "seed": "9859635351925465329", "semantic_fingerprint": "sha256:bf1fa01baf26c850dcd670c89332a12e8ba832722fac0b9fa7ce7585015e5f0a", "generator_version": "3.0"}
{"id": "v3_val_00006848", "prompt": "What value of x satisfies -3(x + 2) - 64 = -94?", "solution_steps": ["Expand: -3x - 6 - 64 = -94", "Combine constants: -3x - 70 = -94", "Add 70 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 + 2) - 64 = -94", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 64, \"e\": -94, \"x\": 8}", "seed": "918419688988500992", "semantic_fingerprint": "sha256:84b1ac663841a0bb88ddde05be2fc7118ab1aeb6c31473d4218899a18355d071", "generator_version": "3.0"}
{"id": "v3_val_00006849", "prompt": "Compute: -18 * (-798) - (-415) * (-60) + 4", "solution_steps": ["Multiply: -18 * (-798) = 14364", "Multiply: -415 * (-60) = 24900", "Subtract: 14364 - 24900 = -10536", "Add: -10536 + 4 = -10532"], "final_answer": "-10532", "answer_type": "integer", "kind": "expression", "math_text": "-18 * (-798) - (-415) * (-60) + 4", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -798, \"c\": -415, \"d\": -60, \"e\": 4}", "seed": "6122361628816653657", "semantic_fingerprint": "sha256:9af62589d5c197d091f92077869f42b8ae118d09a87f4d196341eaedf772d89c", "generator_version": "3.0"}
{"id": "v3_val_00006850", "prompt": "Evaluate: 2 + (-957) - (-2 - (-515))", "solution_steps": ["Add: 2 + (-957) = -955", "Subtract: -2 - (-515) = 513", "Subtract: -955 - 513 = -1468"], "final_answer": "-1468", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-957) - (-2 - (-515))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -957, \"c\": -2, \"d\": -515}", "seed": "4793696656736186341", "semantic_fingerprint": "sha256:69ff13649921552e648fd7d08f79bdbca028d8252b2fda6a664f8ae1b2c932da", "generator_version": "3.0"}
{"id": "v3_val_00006851", "prompt": "What is -6 / (-85) + 64?", "solution_steps": ["Divide: -6 / (-85) = 6/85", "Add: 6/85 + 64 = 5446/85"], "final_answer": "5446/85", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-85) + 64", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -85, \"c\": 64}", "seed": "6686893954221615642", "semantic_fingerprint": "sha256:982f047a762325660ce8ebff9b7cbeb2c111cfc26d3768da02340be51d108b9d", "generator_version": "3.0"}
{"id": "v3_val_00006852", "prompt": "Evaluate: 2 - (-96) * 986 / 980", "solution_steps": ["Multiply: -96 * 986 = -94656", "Divide: -94656 / 980 = -23664/245", "Subtract: 2 - (-23664/245) = 24154/245"], "final_answer": "24154/245", "answer_type": "rational", "kind": "expression", "math_text": "2 - (-96) * 986 / 980", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -96, \"c\": 986, \"d\": 980}", "seed": "9907359311944287910", "semantic_fingerprint": "sha256:3c9329b82c45628bbfeafcb77807d83b408223c780de69f202168711f0ceeed2", "generator_version": "3.0"}
{"id": "v3_val_00006853", "prompt": "Find x: 7x + 400 = -2x - 355", "solution_steps": ["Add 2x to both sides: 9x + 400 = -355", "Subtract 400 from both sides: 9x = -755", "Divide both sides by 9: x = -755/9"], "final_answer": "-755/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 400 = -2x - 355", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 400, \"c\": -2, \"d\": 355}", "seed": "13043557064657038928", "semantic_fingerprint": "sha256:7796005f407e44b2457120257aa18bbc62d816395075b499b1d192feb6402137", "generator_version": "3.0"}
{"id": "v3_val_00006854", "prompt": "What is 7 / (-150)?", "solution_steps": ["Divide: 7 / (-150) = -7/150"], "final_answer": "-7/150", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-150)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -150}", "seed": "17453463999937334168", "semantic_fingerprint": "sha256:9d68272f94196555bcfabee7cc0b3780bfb0e2809f8e0c63c350b3c30bdebd17", "generator_version": "3.0"}
{"id": "v3_val_00006855", "prompt": "Compute: -332 / (-472)", "solution_steps": ["Divide: -332 / (-472) = 83/118"], "final_answer": "83/118", "answer_type": "rational", "kind": "expression", "math_text": "-332 / (-472)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -332, \"b\": -472}", "seed": "8758457337150339281", "semantic_fingerprint": "sha256:4ddbeee62cb0f0e9e8603cc0f604c86eaf79ef347c685bd0b0d4298815239e21", "generator_version": "3.0"}
{"id": "v3_val_00006856", "prompt": "Evaluate: -39 / 16", "solution_steps": ["Divide: -39 / 16 = -39/16"], "final_answer": "-39/16", "answer_type": "rational", "kind": "expression", "math_text": "-39 / 16", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 16}", "seed": "4496140746438567526", "semantic_fingerprint": "sha256:fa55ca909a13caa16e4b69072845aa3fa86ee9ff6d092304c0775f5aee81e8eb", "generator_version": "3.0"}
{"id": "v3_val_00006857", "prompt": "What is -8 + 5 / (7 * 733 / 13)?", "solution_steps": ["Multiply: 7 * 733 = 5131", "Divide: 5131 / 13 = 5131/13", "Divide: 5 / (5131/13) = 65/5131", "Add: -8 + 65/5131 = -40983/5131"], "final_answer": "-40983/5131", "answer_type": "rational", "kind": "expression", "math_text": "-8 + 5 / (7 * 733 / 13)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (/ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 5, \"c\": 7, \"d\": 733, \"e\": 13}", "seed": "11540585247024258672", "semantic_fingerprint": "sha256:95c43fdb80007c72ea580eb9cb0291c0d6ba797190310c6e94e55250c2e186d8", "generator_version": "3.0"}
{"id": "v3_val_00006858", "prompt": "What value of x satisfies 4x - 1 = x - 28?", "solution_steps": ["Subtract x from both sides: 3x - 1 = -28", "Add 1 to both sides: 3x = -27", "Divide both sides by 3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 1 = x - 28", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"d\": -28, \"x\": -9}", "seed": "5922552370462356278", "semantic_fingerprint": "sha256:c45e020ee306d5730d8ba55cfb008b155a82abb1699d406fcac0c7f18410a2d3", "generator_version": "3.0"}
{"id": "v3_val_00006859", "prompt": "Calculate: (-51 + (-94)) * (-91)", "solution_steps": ["Add: -51 + (-94) = -145", "Multiply: -145 * (-91) = 13195"], "final_answer": "13195", "answer_type": "integer", "kind": "expression", "math_text": "(-51 + (-94)) * (-91)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -94, \"c\": -91}", "seed": "7212624240912810005", "semantic_fingerprint": "sha256:73b441a6ae6621f28d2fc224ad4c9387261d0d5e28b3369fe8da364f016799cd", "generator_version": "3.0"}
{"id": "v3_val_00006860", "prompt": "Evaluate: (1 * (-74) - 68) / (-7)", "solution_steps": ["Multiply: 1 * (-74) = -74", "Subtract: -74 - 68 = -142", "Divide: -142 / (-7) = 142/7"], "final_answer": "142/7", "answer_type": "rational", "kind": "expression", "math_text": "(1 * (-74) - 68) / (-7)", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -74, \"c\": 68, \"d\": -7}", "seed": "8353698500561219423", "semantic_fingerprint": "sha256:b704e8d9fa95fc9eaa376863d09c4bf4874a47878ae286e74c1164481e5e0e65", "generator_version": "3.0"}
{"id": "v3_val_00006861", "prompt": "Evaluate: 92 / (-50) * (-8) - 6 + 8 / (-9)", "solution_steps": ["Divide: 92 / (-50) = -46/25", "Multiply: (-46/25) * (-8) = 368/25", "Subtract: 368/25 - 6 = 218/25", "Divide: 8 / (-9) = -8/9", "Add: 218/25 + (-8/9) = 1762/225"], "final_answer": "1762/225", "answer_type": "rational", "kind": "expression", "math_text": "92 / (-50) * (-8) - 6 + 8 / (-9)", "variable": null, "family": "expression_5op", "shape": "(+ (- (* (/ n n) n) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -50, \"c\": -8, \"d\": 6, \"e\": 8, \"f\": -9}", "seed": "2543026422150837362", "semantic_fingerprint": "sha256:e83348b7a6b249b2adad79f2039b974951e6f19c2f199e5d317f9a12ef22abac", "generator_version": "3.0"}
{"id": "v3_val_00006862", "prompt": "Compute: 24 + (-8) / (-76) - 0", "solution_steps": ["Divide: -8 / (-76) = 2/19", "Add: 24 + 2/19 = 458/19", "Subtract: 458/19 - 0 = 458/19"], "final_answer": "458/19", "answer_type": "rational", "kind": "expression", "math_text": "24 + (-8) / (-76) - 0", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -8, \"c\": -76, \"d\": 0}", "seed": "1504667950539564816", "semantic_fingerprint": "sha256:42f2d3b16102ce653a425902c9013705f97218a54a5bd89cc1f0088d318e22e9", "generator_version": "3.0"}
{"id": "v3_val_00006863", "prompt": "Evaluate: 59 / (-84) - (-96)", "solution_steps": ["Divide: 59 / (-84) = -59/84", "Subtract: -59/84 - (-96) = 8005/84"], "final_answer": "8005/84", "answer_type": "rational", "kind": "expression", "math_text": "59 / (-84) - (-96)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -84, \"c\": -96}", "seed": "1756454420973567488", "semantic_fingerprint": "sha256:2fdf9033f06e12f2acb60bd39f259967b8794a8d44bf70f617585c39df567cc9", "generator_version": "3.0"}
{"id": "v3_val_00006864", "prompt": "Solve the equation x + 1 = 2(x + 91) + 4 for x.", "solution_steps": ["Expand: x + 1 = 2x + 182 + 4", "Combine constants: x + 1 = 2x + 186", "Subtract 2x from both sides: -x + 1 = 186", "Subtract 1 from both sides: -x = 185", "Divide both sides by -1: x = -185"], "final_answer": "-185", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1 = 2(x + 91) + 4", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 2, \"c\": 91, \"d\": 4}", "seed": "16855179106153337293", "semantic_fingerprint": "sha256:92c9341eec203969fefe5225c80086435d2e4710d946f601ef55d971e0315820", "generator_version": "3.0"}
{"id": "v3_val_00006865", "prompt": "Compute: (-76 - 26) / (-4 - (1 + 0))", "solution_steps": ["Subtract: -76 - 26 = -102", "Add: 1 + 0 = 1", "Subtract: -4 - 1 = -5", "Divide: -102 / (-5) = 102/5"], "final_answer": "102/5", "answer_type": "rational", "kind": "expression", "math_text": "(-76 - 26) / (-4 - (1 + 0))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 26, \"c\": -4, \"d\": 1, \"e\": 0}", "seed": "1409443056625174658", "semantic_fingerprint": "sha256:1817b841ac7e5afc78570fdcf93c326f049f1da5d34b46e1db2cf12bf2da87ef", "generator_version": "3.0"}
{"id": "v3_val_00006866", "prompt": "Compute: (-4 + 91) / (-77 - 63)", "solution_steps": ["Add: -4 + 91 = 87", "Subtract: -77 - 63 = -140", "Divide: 87 / (-140) = -87/140"], "final_answer": "-87/140", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + 91) / (-77 - 63)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 91, \"c\": -77, \"d\": 63}", "seed": "15827878950222469208", "semantic_fingerprint": "sha256:cabb823b45837623831905cce7fc267709cc0c48826b7e8737d6e264dbcd1e47", "generator_version": "3.0"}
{"id": "v3_val_00006867", "prompt": "Evaluate: 43 - (-782) - 383", "solution_steps": ["Subtract: 43 - (-782) = 825", "Subtract: 825 - 383 = 442"], "final_answer": "442", "answer_type": "integer", "kind": "expression", "math_text": "43 - (-782) - 383", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -782, \"c\": 383}", "seed": "6245055706441969326", "semantic_fingerprint": "sha256:cff583ef6c9abe99bd1b6011222d58b6fe4c1bb35e18207dfa99970728d17af6", "generator_version": "3.0"}
{"id": "v3_val_00006868", "prompt": "What value of x satisfies 2x - 4 = x - 3?", "solution_steps": ["Subtract x from both sides: x - 4 = -3", "Add 4 to both sides: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 4 = x - 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"d\": -3, \"x\": 1}", "seed": "9428063733134418354", "semantic_fingerprint": "sha256:d56bdb9dac2a53de921cb1eecf7aa1cfb0aa0da71cf3b844fcc206c37d8927de", "generator_version": "3.0"}
{"id": "v3_val_00006869", "prompt": "Evaluate: -527 - (-1)", "solution_steps": ["Subtract: -527 - (-1) = -526"], "final_answer": "-526", "answer_type": "integer", "kind": "expression", "math_text": "-527 - (-1)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -527, \"b\": -1}", "seed": "3241863595515941935", "semantic_fingerprint": "sha256:db1bb44b611ce167615cc53c56ec7d5cda17d4a3d1406f16fe181930cc8a485c", "generator_version": "3.0"}
{"id": "v3_val_00006870", "prompt": "Compute: -79 * (-33 / (-2) * (-183))", "solution_steps": ["Divide: -33 / (-2) = 33/2", "Multiply: (33/2) * (-183) = -6039/2", "Multiply: -79 * (-6039/2) = 477081/2"], "final_answer": "477081/2", "answer_type": "rational", "kind": "expression", "math_text": "-79 * (-33 / (-2) * (-183))", "variable": null, "family": "expression_3op", "shape": "(* n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -33, \"c\": -2, \"d\": -183}", "seed": "3757867791392529358", "semantic_fingerprint": "sha256:f48dc6235a922bcf8afcc7eb0dc0c1d0dcde6ccfaf115e004bb52e3b469fff42", "generator_version": "3.0"}
{"id": "v3_val_00006871", "prompt": "Compute: 54 / (-73 * 77)", "solution_steps": ["Multiply: -73 * 77 = -5621", "Divide: 54 / (-5621) = -54/5621"], "final_answer": "-54/5621", "answer_type": "rational", "kind": "expression", "math_text": "54 / (-73 * 77)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -73, \"c\": 77}", "seed": "4069252529257247635", "semantic_fingerprint": "sha256:153863782181dd424d5446ec62c2da9a9ff34f25f985c69567aaffac3769b7aa", "generator_version": "3.0"}
{"id": "v3_val_00006872", "prompt": "Calculate: -21 + 34", "solution_steps": ["Add: -21 + 34 = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "-21 + 34", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 34}", "seed": "7574216732369544830", "semantic_fingerprint": "sha256:f71b0cd6fcb46b2187a8ee7e294aabdeeb535b2aec127ac089fc6450624dbb6e", "generator_version": "3.0"}
{"id": "v3_val_00006873", "prompt": "What is (1 - 16) / (77 - (-6))?", "solution_steps": ["Subtract: 1 - 16 = -15", "Subtract: 77 - (-6) = 83", "Divide: -15 / 83 = -15/83"], "final_answer": "-15/83", "answer_type": "rational", "kind": "expression", "math_text": "(1 - 16) / (77 - (-6))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 16, \"c\": 77, \"d\": -6}", "seed": "16437044662180138934", "semantic_fingerprint": "sha256:d1108361f90939202356ead103283232a6def5c683f1806430a7bd9c0ddfaa64", "generator_version": "3.0"}
{"id": "v3_val_00006874", "prompt": "What value of x satisfies 3x + 779 = 11x?", "solution_steps": ["Subtract 11x from both sides: -8x + 779 = 0", "Subtract 779 from both sides: -8x = -779", "Divide both sides by -8: x = 779/8"], "final_answer": "779/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x + 779 = 11x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 779, \"c\": 11}", "seed": "1477842410654736659", "semantic_fingerprint": "sha256:47c978ba0f9dd6411cc6a6866ae6cbb83ac4e9165b18a61bd9692e7fb8f740f9", "generator_version": "3.0"}
{"id": "v3_val_00006875", "prompt": "What is -53 / (-9) / (-702 - (-53))?", "solution_steps": ["Divide: -53 / (-9) = 53/9", "Subtract: -702 - (-53) = -649", "Divide: (53/9) / (-649) = -53/5841"], "final_answer": "-53/5841", "answer_type": "rational", "kind": "expression", "math_text": "-53 / (-9) / (-702 - (-53))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -9, \"c\": -702, \"d\": -53}", "seed": "9940068575640287427", "semantic_fingerprint": "sha256:ce8946f1d84583943c5851adcaf96497b861e38ed9cad229d060f98912e7a133", "generator_version": "3.0"}
{"id": "v3_val_00006876", "prompt": "Compute: 61 * 98", "solution_steps": ["Multiply: 61 * 98 = 5978"], "final_answer": "5978", "answer_type": "integer", "kind": "expression", "math_text": "61 * 98", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 98}", "seed": "4275395891485696025", "semantic_fingerprint": "sha256:d74b5b3fa6098d5161d0b5fc7632dae09f0fb29099f709924362fa408d939d72", "generator_version": "3.0"}
{"id": "v3_val_00006877", "prompt": "What is -4 * (-16 * (-23 + (-26)))?", "solution_steps": ["Add: -23 + (-26) = -49", "Multiply: -16 * (-49) = 784", "Multiply: -4 * 784 = -3136"], "final_answer": "-3136", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-16 * (-23 + (-26)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -16, \"c\": -23, \"d\": -26}", "seed": "1550190377610251317", "semantic_fingerprint": "sha256:7e7ed7ca4f14ba14d3e4cce75b4691b85b21103f1bb1f725df421d17912da122", "generator_version": "3.0"}
{"id": "v3_val_00006878", "prompt": "Calculate: -7 - (-4) / (8 / (-6 * 9))", "solution_steps": ["Multiply: -6 * 9 = -54", "Divide: 8 / (-54) = -4/27", "Divide: -4 / (-4/27) = 27", "Subtract: -7 - 27 = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-4) / (8 / (-6 * 9))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (/ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -4, \"c\": 8, \"d\": -6, \"e\": 9}", "seed": "10901462332910045454", "semantic_fingerprint": "sha256:7c1de7fc9a36b884ba8bc2224abaf449ed4d8858ee52aec7e3e66b6254e63fd2", "generator_version": "3.0"}
{"id": "v3_val_00006879", "prompt": "Evaluate: -540 / 426", "solution_steps": ["Divide: -540 / 426 = -90/71"], "final_answer": "-90/71", "answer_type": "rational", "kind": "expression", "math_text": "-540 / 426", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -540, \"b\": 426}", "seed": "15953900569291592299", "semantic_fingerprint": "sha256:223f90ae85f8559ed6178529f6d80919df59ab7bb2cc0203f49a4c75bbd1b831", "generator_version": "3.0"}
{"id": "v3_val_00006880", "prompt": "Find x: x + 33 = 2(x - 69) + 153", "solution_steps": ["Expand: x + 33 = 2x - 138 + 153", "Combine constants: x + 33 = 2x + 15", "Subtract 2x from both sides: -x + 33 = 15", "Subtract 33 from both sides: -x = -18", "Divide both sides by -1: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33 = 2(x - 69) + 153", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 2, \"c\": 69, \"e\": 153, \"x\": 18}", "seed": "14502606025482241734", "semantic_fingerprint": "sha256:668e2d8657f2589eedf4907da03f78072862f4cc0008ddb2fc2ea4ae707ab9eb", "generator_version": "3.0"}
{"id": "v3_val_00006881", "prompt": "What is -337 + 41?", "solution_steps": ["Add: -337 + 41 = -296"], "final_answer": "-296", "answer_type": "integer", "kind": "expression", "math_text": "-337 + 41", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -337, \"b\": 41}", "seed": "2501498568674077739", "semantic_fingerprint": "sha256:de1fca2df3084f1feebc2c6682f2a52e7cd6b806f06a971f6b6ebd5edb036e83", "generator_version": "3.0"}
{"id": "v3_val_00006882", "prompt": "Solve the equation 3x = x + 6 for x.", "solution_steps": ["Subtract x from both sides: 2x = 6", "Divide both sides by 2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = x + 6", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6}", "seed": "18002298111369697951", "semantic_fingerprint": "sha256:cbfd4160549a9577543fd987e463ac33589da0f5670ccb54ed01d096d9ee1ce3", "generator_version": "3.0"}
{"id": "v3_val_00006883", "prompt": "Evaluate: -6 / (7 - (-6)) * 71", "solution_steps": ["Subtract: 7 - (-6) = 13", "Divide: -6 / 13 = -6/13", "Multiply: (-6/13) * 71 = -426/13"], "final_answer": "-426/13", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (7 - (-6)) * 71", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": -6, \"d\": 71}", "seed": "14878558507637490631", "semantic_fingerprint": "sha256:d84f7cee1f09aa79bfe7ce49f746f05177949de90b54ecd34bc921d97a9a3bc4", "generator_version": "3.0"}
{"id": "v3_val_00006884", "prompt": "Calculate: -208 * ((820 + (-85)) * 3) + (-427)", "solution_steps": ["Add: 820 + (-85) = 735", "Multiply: 735 * 3 = 2205", "Multiply: -208 * 2205 = -458640", "Add: -458640 + (-427) = -459067"], "final_answer": "-459067", "answer_type": "integer", "kind": "expression", "math_text": "-208 * ((820 + (-85)) * 3) + (-427)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -208, \"b\": 820, \"c\": -85, \"d\": 3, \"e\": -427}", "seed": "13276804428685668034", "semantic_fingerprint": "sha256:1add0d9af33763ee016aacbf2577a6bdf90d62a0dc0c20b81b68788730c8d0eb", "generator_version": "3.0"}
{"id": "v3_val_00006885", "prompt": "What is -60 - 51 * (-6 - (-683))?", "solution_steps": ["Subtract: -6 - (-683) = 677", "Multiply: 51 * 677 = 34527", "Subtract: -60 - 34527 = -34587"], "final_answer": "-34587", "answer_type": "integer", "kind": "expression", "math_text": "-60 - 51 * (-6 - (-683))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 51, \"c\": -6, \"d\": -683}", "seed": "5858404842393958546", "semantic_fingerprint": "sha256:a503f187c78c3a1e9bb86a51857d6b26506921a2fe8b302376c759f621ca093b", "generator_version": "3.0"}
{"id": "v3_val_00006886", "prompt": "Solve the equation 3(x + 2) = x - 30 for x.", "solution_steps": ["Expand: 3x + 6 = x - 30", "Subtract x from both sides: 2x + 6 = -30", "Subtract 6 from both sides: 2x = -36", "Divide both sides by 2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 2) = x - 30", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"d\": -30, \"x\": -18}", "seed": "11646348846537677974", "semantic_fingerprint": "sha256:cf47b24360fd30eda6146dd06ae5b6cbb8839f6e2b51829c640643c79d122542", "generator_version": "3.0"}
{"id": "v3_val_00006887", "prompt": "Solve for x: 4(x + 45) + 33 = 5x", "solution_steps": ["Expand: 4x + 180 + 33 = 5x", "Combine constants: 4x + 213 = 5x", "Subtract 5x from both sides: -x + 213 = 0", "Subtract 213 from both sides: -x = -213", "Divide both sides by -1: x = 213"], "final_answer": "213", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 45) + 33 = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 45, \"c\": 33, \"d\": 5}", "seed": "7646983131507713671", "semantic_fingerprint": "sha256:81680caa65e4e7804911d2ce0eb603cabd85b37c6cbe36bc3dcb930785febcbd", "generator_version": "3.0"}
{"id": "v3_val_00006888", "prompt": "Find x: -10(x + 49) = -8x - 528", "solution_steps": ["Expand: -10x - 490 = -8x - 528", "Add 8x to both sides: -2x - 490 = -528", "Add 490 to both sides: -2x = -38", "Divide both sides by -2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 49) = -8x - 528", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 49, \"c\": -8, \"e\": -528, \"x\": 19}", "seed": "7457030659619123491", "semantic_fingerprint": "sha256:17b29b5aa46435ce30a5a9b212acfda38ce6647e24d5b415f413a14645bb0910", "generator_version": "3.0"}
{"id": "v3_val_00006889", "prompt": "Solve the equation 9(x + 241) - 818 = 7(x + 9) for x.", "solution_steps": ["Expand: 9x + 2169 - 818 = 7(x + 9)", "Expand: 9x + 2169 - 818 = 7x + 63", "Combine constants: 9x + 1351 = 7x + 63", "Subtract 7x from both sides: 2x + 1351 = 63", "Subtract 1351 from both sides: 2x = -1288", "Divide both sides by 2: x = -644"], "final_answer": "-644", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 241) - 818 = 7(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 241, \"c\": 818, \"d\": 7, \"e\": 9}", "seed": "4052589909807652140", "semantic_fingerprint": "sha256:4d026ff7a576e568928f0efcf849a9b404b8395535af5ee34ef5b08dab6b107d", "generator_version": "3.0"}
{"id": "v3_val_00006890", "prompt": "Solve for x: -9x + 157 = -5(x - 33)", "solution_steps": ["Expand: -9x + 157 = -5x + 165", "Add 5x to both sides: -4x + 157 = 165", "Subtract 157 from both sides: -4x = 8", "Divide both sides by -4: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 157 = -5(x - 33)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -5, \"c\": 33, \"e\": 157, \"x\": -2}", "seed": "3246737903948888941", "semantic_fingerprint": "sha256:e19cb12da00e32fd45e8bc8a7f459d99cda3ecfebfa3da27404a1efcf1a29817", "generator_version": "3.0"}
{"id": "v3_val_00006891", "prompt": "Calculate: 266 / 876", "solution_steps": ["Divide: 266 / 876 = 133/438"], "final_answer": "133/438", "answer_type": "rational", "kind": "expression", "math_text": "266 / 876", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 266, \"b\": 876}", "seed": "2808138713802801952", "semantic_fingerprint": "sha256:bfcf7f86c5dfe697f45b1d35a8d508dd746bdf184d415d44b49913c71b005c8c", "generator_version": "3.0"}
{"id": "v3_val_00006892", "prompt": "Evaluate: 0 / (-5) / 7", "solution_steps": ["Divide: 0 / (-5) = 0", "Divide: 0 / 7 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-5) / 7", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -5, \"c\": 7}", "seed": "15542659977571717953", "semantic_fingerprint": "sha256:64e5812617c65714a1171f9b3d76b3e9384af445d51db1a7e99833458e1da79b", "generator_version": "3.0"}
{"id": "v3_val_00006893", "prompt": "What value of x satisfies x + 6 = -6(x - 1)?", "solution_steps": ["Expand: x + 6 = -6x + 6", "Add 6x to both sides: 7x + 6 = 6", "Subtract 6 from both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6 = -6(x - 1)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 1, \"d\": 6, \"x\": 0}", "seed": "13763096608960289183", "semantic_fingerprint": "sha256:f251c1e97f3ccd4f6725f9aba91e75506950dc0d999f66313c5bbdbbd66ce1b1", "generator_version": "3.0"}
{"id": "v3_val_00006894", "prompt": "What is -6 - 47?", "solution_steps": ["Subtract: -6 - 47 = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "expression", "math_text": "-6 - 47", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 47}", "seed": "8106350672278510437", "semantic_fingerprint": "sha256:b06fff8e2f012ba51c0bba982d0bb54f6b085442a5512805a6bf57f4c0ca3dbb", "generator_version": "3.0"}
{"id": "v3_val_00006895", "prompt": "What is 110 - 94 - 195?", "solution_steps": ["Subtract: 110 - 94 = 16", "Subtract: 16 - 195 = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "expression", "math_text": "110 - 94 - 195", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 110, \"b\": 94, \"c\": 195}", "seed": "14017711043969444774", "semantic_fingerprint": "sha256:a1d218e5e82f692e12d3531fca1185c3ede974cdb6a726409b6fc72c58a72102", "generator_version": "3.0"}
{"id": "v3_val_00006896", "prompt": "Find x: x - 80 = 7(x + 6) - 206", "solution_steps": ["Expand: x - 80 = 7x + 42 - 206", "Combine constants: x - 80 = 7x - 164", "Subtract 7x from both sides: -6x - 80 = -164", "Add 80 to both sides: -6x = -84", "Divide both sides by -6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 80 = 7(x + 6) - 206", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 7, \"c\": 6, \"e\": -206, \"x\": 14}", "seed": "9316395996544426514", "semantic_fingerprint": "sha256:3347b7420fe392bc10a8695528ee7d688fe2bfd47cd562f23836a1ded5be74a6", "generator_version": "3.0"}
{"id": "v3_val_00006897", "prompt": "What is 173 * 0 * (-2)?", "solution_steps": ["Multiply: 173 * 0 = 0", "Multiply: 0 * (-2) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "173 * 0 * (-2)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 173, \"b\": 0, \"c\": -2}", "seed": "916839527351061503", "semantic_fingerprint": "sha256:b1a4ed36f4a068324a9fbfa3f8ede0b383bbb4a1eb54ce2c6e4824a53c96d5af", "generator_version": "3.0"}
{"id": "v3_val_00006898", "prompt": "Evaluate: 6 * 0 - 18 + (2 - 82) * (-2)", "solution_steps": ["Multiply: 6 * 0 = 0", "Subtract: 0 - 18 = -18", "Subtract: 2 - 82 = -80", "Multiply: -80 * (-2) = 160", "Add: -18 + 160 = 142"], "final_answer": "142", "answer_type": "integer", "kind": "expression", "math_text": "6 * 0 - 18 + (2 - 82) * (-2)", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) n) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 0, \"c\": 18, \"d\": 2, \"e\": 82, \"f\": -2}", "seed": "7504806876852178653", "semantic_fingerprint": "sha256:78b0068d5bd3642eeeb6b5d2df6a3505eee5042205d9e449eaf9f81deded562c", "generator_version": "3.0"}
{"id": "v3_val_00006899", "prompt": "What is 3 + (2 - 970 / (-74))?", "solution_steps": ["Divide: 970 / (-74) = -485/37", "Subtract: 2 - (-485/37) = 559/37", "Add: 3 + 559/37 = 670/37"], "final_answer": "670/37", "answer_type": "rational", "kind": "expression", "math_text": "3 + (2 - 970 / (-74))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 970, \"d\": -74}", "seed": "9224420926815373045", "semantic_fingerprint": "sha256:af34d6c9cec9dc7121dfb0d7e101979dbddcb093d12dd81fbd66c89b31e9390f", "generator_version": "3.0"}
{"id": "v3_val_00006900", "prompt": "Solve for x: -9(x + 5) = -7(x - 76)", "solution_steps": ["Expand: -9x - 45 = -7(x - 76)", "Expand: -9x - 45 = -7x + 532", "Add 7x to both sides: -2x - 45 = 532", "Add 45 to both sides: -2x = 577", "Divide both sides by -2: x = -577/2"], "final_answer": "-577/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 5) = -7(x - 76)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": -7, \"d\": 76}", "seed": "10029424737202398686", "semantic_fingerprint": "sha256:07c32cdc788235476b9a38a3ba76ad1ea34efa4b3a99906e979b24b1616cd633", "generator_version": "3.0"}
{"id": "v3_val_00006901", "prompt": "Compute: -194 + (30 + 46 * (-9))", "solution_steps": ["Multiply: 46 * (-9) = -414", "Add: 30 + (-414) = -384", "Add: -194 + (-384) = -578"], "final_answer": "-578", "answer_type": "integer", "kind": "expression", "math_text": "-194 + (30 + 46 * (-9))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -194, \"b\": 30, \"c\": 46, \"d\": -9}", "seed": "4644119807528422835", "semantic_fingerprint": "sha256:3216f9d15f57ac94c5817c77516c59b0d10e775406d08fac09207e20e599452f", "generator_version": "3.0"}
{"id": "v3_val_00006902", "prompt": "Compute: (-4 * (-8) - (-660)) * (-98 - 21)", "solution_steps": ["Multiply: -4 * (-8) = 32", "Subtract: 32 - (-660) = 692", "Subtract: -98 - 21 = -119", "Multiply: 692 * (-119) = -82348"], "final_answer": "-82348", "answer_type": "integer", "kind": "expression", "math_text": "(-4 * (-8) - (-660)) * (-98 - 21)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -8, \"c\": -660, \"d\": -98, \"e\": 21}", "seed": "6877066413124276634", "semantic_fingerprint": "sha256:f0185ee06281f606e5bef4b5f79dc7b25ddd853b2bd7fdc2da6cc2e0f444f4b4", "generator_version": "3.0"}
{"id": "v3_val_00006903", "prompt": "What is 6 + (-84)?", "solution_steps": ["Add: 6 + (-84) = -78"], "final_answer": "-78", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-84)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -84}", "seed": "1344698687231811686", "semantic_fingerprint": "sha256:4fcd42b4c6fc6a016580726b2192c2d22a9a8f4f9da83b7da90ecca74d4f7a30", "generator_version": "3.0"}
{"id": "v3_val_00006904", "prompt": "What is -4 / (6 * 9) / 52?", "solution_steps": ["Multiply: 6 * 9 = 54", "Divide: -4 / 54 = -2/27", "Divide: (-2/27) / 52 = -1/702"], "final_answer": "-1/702", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (6 * 9) / 52", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 9, \"d\": 52}", "seed": "12598284024738260739", "semantic_fingerprint": "sha256:4846f896bbfd3003a8584572f61163021a1944011c814a20aa0dd34d58f9225b", "generator_version": "3.0"}
{"id": "v3_val_00006905", "prompt": "What is 902 + 0 + (514 + 42 * 516) + (-936)?", "solution_steps": ["Add: 902 + 0 = 902", "Multiply: 42 * 516 = 21672", "Add: 514 + 21672 = 22186", "Add: 902 + 22186 = 23088", "Add: 23088 + (-936) = 22152"], "final_answer": "22152", "answer_type": "integer", "kind": "expression", "math_text": "902 + 0 + (514 + 42 * 516) + (-936)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) (+ n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 902, \"b\": 0, \"c\": 514, \"d\": 42, \"e\": 516, \"f\": -936}", "seed": "16954997979583263429", "semantic_fingerprint": "sha256:5686328f5d5dcbb5fd419825c8621b1b89a35d361c285c31f49a70a0d04b9306", "generator_version": "3.0"}
{"id": "v3_val_00006906", "prompt": "Calculate: 3 * (598 / (-47)) + (-1)", "solution_steps": ["Divide: 598 / (-47) = -598/47", "Multiply: 3 * (-598/47) = -1794/47", "Add: -1794/47 + (-1) = -1841/47"], "final_answer": "-1841/47", "answer_type": "rational", "kind": "expression", "math_text": "3 * (598 / (-47)) + (-1)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 598, \"c\": -47, \"d\": -1}", "seed": "11734961865424932004", "semantic_fingerprint": "sha256:4a2ca2b6dd0953dabd061b8806d53bd761ca8f1377a2cced84c8dc08a37ae8dd", "generator_version": "3.0"}
{"id": "v3_val_00006907", "prompt": "Calculate: -56 / 77 - (-685 + (-63)) - 9", "solution_steps": ["Divide: -56 / 77 = -8/11", "Add: -685 + (-63) = -748", "Subtract: -8/11 - (-748) = 8220/11", "Subtract: 8220/11 - 9 = 8121/11"], "final_answer": "8121/11", "answer_type": "rational", "kind": "expression", "math_text": "-56 / 77 - (-685 + (-63)) - 9", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 77, \"c\": -685, \"d\": -63, \"e\": 9}", "seed": "3824432630042011290", "semantic_fingerprint": "sha256:eb548aca4c5132e64f870f5ce7318fac1444f590d1e291e78c3309b6c90e1bb1", "generator_version": "3.0"}
{"id": "v3_val_00006908", "prompt": "Calculate: 68 / (-775 / 25)", "solution_steps": ["Divide: -775 / 25 = -31", "Divide: 68 / (-31) = -68/31"], "final_answer": "-68/31", "answer_type": "rational", "kind": "expression", "math_text": "68 / (-775 / 25)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -775, \"c\": 25}", "seed": "3614842757426207288", "semantic_fingerprint": "sha256:20f4480a91592e4b3ca92cbaa1c193e70e3c7068df05197af0e7aef3ee522407", "generator_version": "3.0"}
{"id": "v3_val_00006909", "prompt": "Calculate: -6 * 0 / (-54)", "solution_steps": ["Multiply: -6 * 0 = 0", "Divide: 0 / (-54) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 0 / (-54)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 0, \"c\": -54}", "seed": "2604761892102774924", "semantic_fingerprint": "sha256:b7ec7e39cc38b7c120a136489cd35e2aa388c11446a9f6c05b44ba8666fcd6a4", "generator_version": "3.0"}
{"id": "v3_val_00006910", "prompt": "What value of x satisfies 6(x - 9) + 2 = 9x - 16?", "solution_steps": ["Expand: 6x - 54 + 2 = 9x - 16", "Combine constants: 6x - 52 = 9x - 16", "Subtract 9x from both sides: -3x - 52 = -16", "Add 52 to both sides: -3x = 36", "Divide both sides by -3: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 9) + 2 = 9x - 16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 2, \"d\": 9, \"f\": -16, \"x\": -12}", "seed": "12610698810214472251", "semantic_fingerprint": "sha256:e9ee1121cad2329c218742519792668452e13c40a5f3505677afd4e9f389bae5", "generator_version": "3.0"}
{"id": "v3_val_00006911", "prompt": "What is -1 * 94 + 10?", "solution_steps": ["Multiply: -1 * 94 = -94", "Add: -94 + 10 = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 94 + 10", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 94, \"c\": 10}", "seed": "18376397550835367154", "semantic_fingerprint": "sha256:6d1f5b7ebbbb4d7aa6cbcc140d9244413d96cccd9950c7b2ec2b6d3f381444a4", "generator_version": "3.0"}
{"id": "v3_val_00006912", "prompt": "Calculate: -8 * (-8 + (-8 - 938) + 2 / (-36))", "solution_steps": ["Subtract: -8 - 938 = -946", "Add: -8 + (-946) = -954", "Divide: 2 / (-36) = -1/18", "Add: -954 + (-1/18) = -17173/18", "Multiply: -8 * (-17173/18) = 68692/9"], "final_answer": "68692/9", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (-8 + (-8 - 938) + 2 / (-36))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (+ n (- n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -8, \"c\": -8, \"d\": 938, \"e\": 2, \"f\": -36}", "seed": "15600243412655279556", "semantic_fingerprint": "sha256:c839565a1e7b85774930b7f790405881905c352a4567d1faa985e146fcb57cca", "generator_version": "3.0"}
{"id": "v3_val_00006913", "prompt": "What is (29 - (-163)) / (-72 + 67)?", "solution_steps": ["Subtract: 29 - (-163) = 192", "Add: -72 + 67 = -5", "Divide: 192 / (-5) = -192/5"], "final_answer": "-192/5", "answer_type": "rational", "kind": "expression", "math_text": "(29 - (-163)) / (-72 + 67)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -163, \"c\": -72, \"d\": 67}", "seed": "11218305454642190848", "semantic_fingerprint": "sha256:e3ef7414ece5931ed5b4e4efbfcb07c1f0476869bdca599d995b69c034820d41", "generator_version": "3.0"}
{"id": "v3_val_00006914", "prompt": "Calculate: (2 + 78) * (-9)", "solution_steps": ["Add: 2 + 78 = 80", "Multiply: 80 * (-9) = -720"], "final_answer": "-720", "answer_type": "integer", "kind": "expression", "math_text": "(2 + 78) * (-9)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 78, \"c\": -9}", "seed": "16340523324425365920", "semantic_fingerprint": "sha256:177ec703a80b2cc6782f2b2b9c6e0e965db8e48dc8d1e5afb5672efe0e127a45", "generator_version": "3.0"}
{"id": "v3_val_00006915", "prompt": "Calculate: 19 + 490", "solution_steps": ["Add: 19 + 490 = 509"], "final_answer": "509", "answer_type": "integer", "kind": "expression", "math_text": "19 + 490", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 490}", "seed": "10718579281687437392", "semantic_fingerprint": "sha256:1e9074e8c72d4c45c4d9e9e5defb9c705a82df3a048d7e671185da3531c2fc8a", "generator_version": "3.0"}
{"id": "v3_val_00006916", "prompt": "Evaluate: -89 - (-69 - 942 - (44 + (-6)))", "solution_steps": ["Subtract: -69 - 942 = -1011", "Add: 44 + (-6) = 38", "Subtract: -1011 - 38 = -1049", "Subtract: -89 - (-1049) = 960"], "final_answer": "960", "answer_type": "integer", "kind": "expression", "math_text": "-89 - (-69 - 942 - (44 + (-6)))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -69, \"c\": 942, \"d\": 44, \"e\": -6}", "seed": "683827369858397501", "semantic_fingerprint": "sha256:c9d065cc9e1e3cda628f31e1fec63a3e3f8cb2d6ed221e769d4bcaee9fa23e9c", "generator_version": "3.0"}
{"id": "v3_val_00006917", "prompt": "Solve for x: 7x = x - 84", "solution_steps": ["Subtract x from both sides: 6x = -84", "Divide both sides by 6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = x - 84", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": -84, \"x\": -14}", "seed": "7386455507581119424", "semantic_fingerprint": "sha256:2ca16070bb4b7c8eaee85548c8191140141ca51716e971048a7f9cf305fdb88e", "generator_version": "3.0"}
{"id": "v3_val_00006918", "prompt": "What is 2 - (4 + (-37))?", "solution_steps": ["Add: 4 + (-37) = -33", "Subtract: 2 - (-33) = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "2 - (4 + (-37))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": -37}", "seed": "9449860352173939258", "semantic_fingerprint": "sha256:4c7c14e44a6ed71583196ac8f196bdc6da9ff27612104e69704da334804786ad", "generator_version": "3.0"}
{"id": "v3_val_00006919", "prompt": "Solve the equation 3(x + 1) - 853 = 7x - 798 for x.", "solution_steps": ["Expand: 3x + 3 - 853 = 7x - 798", "Combine constants: 3x - 850 = 7x - 798", "Subtract 7x from both sides: -4x - 850 = -798", "Add 850 to both sides: -4x = 52", "Divide both sides by -4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 1) - 853 = 7x - 798", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 853, \"d\": 7, \"f\": -798, \"x\": -13}", "seed": "1522072455203362610", "semantic_fingerprint": "sha256:f630be24bbafb56507749288f1211dd93889f2cc63714c5d1252a54a06073d61", "generator_version": "3.0"}
{"id": "v3_val_00006920", "prompt": "Compute: (492 - (-63)) / (-58)", "solution_steps": ["Subtract: 492 - (-63) = 555", "Divide: 555 / (-58) = -555/58"], "final_answer": "-555/58", "answer_type": "rational", "kind": "expression", "math_text": "(492 - (-63)) / (-58)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 492, \"b\": -63, \"c\": -58}", "seed": "15336890341010798990", "semantic_fingerprint": "sha256:2858fe8a2036678ce7d3b1041acb9295fd2797bcb633bdaf79cea64f7a752bf3", "generator_version": "3.0"}
{"id": "v3_val_00006921", "prompt": "What is -28 / (-877 - (-323) - 78 * 1)?", "solution_steps": ["Subtract: -877 - (-323) = -554", "Multiply: 78 * 1 = 78", "Subtract: -554 - 78 = -632", "Divide: -28 / (-632) = 7/158"], "final_answer": "7/158", "answer_type": "rational", "kind": "expression", "math_text": "-28 / (-877 - (-323) - 78 * 1)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -877, \"c\": -323, \"d\": 78, \"e\": 1}", "seed": "351676837472397841", "semantic_fingerprint": "sha256:794ecc112fa754d7c3e41730e17de36483f79ce36fd1af3bd966ba2f49949d14", "generator_version": "3.0"}
{"id": "v3_val_00006922", "prompt": "Evaluate: (-92 * (-40 * 4) - 6) / (-5 + 788)", "solution_steps": ["Multiply: -40 * 4 = -160", "Multiply: -92 * (-160) = 14720", "Subtract: 14720 - 6 = 14714", "Add: -5 + 788 = 783", "Divide: 14714 / 783 = 14714/783"], "final_answer": "14714/783", "answer_type": "rational", "kind": "expression", "math_text": "(-92 * (-40 * 4) - 6) / (-5 + 788)", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n (* n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -40, \"c\": 4, \"d\": 6, \"e\": -5, \"f\": 788}", "seed": "6053790309927515545", "semantic_fingerprint": "sha256:d9a07d7c52e0ca835f40403a7acdc5deb85d1626fdeafdf84dee2f823068e6bf", "generator_version": "3.0"}
{"id": "v3_val_00006923", "prompt": "What is -6 / (35 * (-8))?", "solution_steps": ["Multiply: 35 * (-8) = -280", "Divide: -6 / (-280) = 3/140"], "final_answer": "3/140", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (35 * (-8))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 35, \"c\": -8}", "seed": "7467376424075634711", "semantic_fingerprint": "sha256:1af67a0ee3171650c51f53fde82fc00fcc5bbc48ea9aedb526c7eb7b7b13c58c", "generator_version": "3.0"}
{"id": "v3_val_00006924", "prompt": "Calculate: -42 - (-9) * 1", "solution_steps": ["Multiply: -9 * 1 = -9", "Subtract: -42 - (-9) = -33"], "final_answer": "-33", "answer_type": "integer", "kind": "expression", "math_text": "-42 - (-9) * 1", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -9, \"c\": 1}", "seed": "7191693582269344483", "semantic_fingerprint": "sha256:34ad749fdd626985d10f6d759be81ed24a1d5c15ed8e881b08e0ee7a4d7c56ce", "generator_version": "3.0"}
{"id": "v3_val_00006925", "prompt": "Solve the equation -4(x + 57) = x for x.", "solution_steps": ["Expand: -4x - 228 = x", "Subtract x from both sides: -5x - 228 = 0", "Add 228 to both sides: -5x = 228", "Divide both sides by -5: x = -228/5"], "final_answer": "-228/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 57) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 57}", "seed": "2757666206733239367", "semantic_fingerprint": "sha256:df5f285094067ccea8bff5b1d42181a8c70f45369ac0e28d3452c7044a6c616c", "generator_version": "3.0"}
{"id": "v3_val_00006926", "prompt": "Find x: x - 3 = 2x + 1", "solution_steps": ["Subtract 2x from both sides: -x - 3 = 1", "Add 3 to both sides: -x = 4", "Divide both sides by -1: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 2x + 1", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"d\": 1, \"x\": -4}", "seed": "1841237677277906059", "semantic_fingerprint": "sha256:68f67abc718373368022cf161d458243d79534e3c512dc6d4553852fb51d0096", "generator_version": "3.0"}
{"id": "v3_val_00006927", "prompt": "Solve the equation -2(x - 6) + 4 = x - 17 for x.", "solution_steps": ["Expand: -2x + 12 + 4 = x - 17", "Combine constants: -2x + 16 = x - 17", "Subtract x from both sides: -3x + 16 = -17", "Subtract 16 from both sides: -3x = -33", "Divide both sides by -3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 6) + 4 = x - 17", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": 4, \"e\": -17, \"x\": 11}", "seed": "15032737463915127950", "semantic_fingerprint": "sha256:bdc7673cbfc31f444728fb72501e90fe0959fdd938b5f657c7ea3a8ed1ee1ab4", "generator_version": "3.0"}
{"id": "v3_val_00006928", "prompt": "Find x: 2x + 121 = -9x", "solution_steps": ["Add 9x to both sides: 11x + 121 = 0", "Subtract 121 from both sides: 11x = -121", "Divide both sides by 11: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 121 = -9x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -9, \"d\": 121, \"x\": -11}", "seed": "6534000582728756554", "semantic_fingerprint": "sha256:6db17ade3052d0598c68b3d9ae59e8b67c6d641081aa625aa2493c47645e18b9", "generator_version": "3.0"}
{"id": "v3_val_00006929", "prompt": "Find x: x + 3 = -4(x - 2) + 35", "solution_steps": ["Expand: x + 3 = -4x + 8 + 35", "Combine constants: x + 3 = -4x + 43", "Add 4x to both sides: 5x + 3 = 43", "Subtract 3 from both sides: 5x = 40", "Divide both sides by 5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = -4(x - 2) + 35", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -4, \"c\": 2, \"e\": 35, \"x\": 8}", "seed": "15759522955297458057", "semantic_fingerprint": "sha256:a3575633e4e35fe14b127138d600afa3a3d9029a6543a7ecf352d3ce4e75bcfe", "generator_version": "3.0"}
{"id": "v3_val_00006930", "prompt": "Calculate: -95 + (59 - 532)", "solution_steps": ["Subtract: 59 - 532 = -473", "Add: -95 + (-473) = -568"], "final_answer": "-568", "answer_type": "integer", "kind": "expression", "math_text": "-95 + (59 - 532)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 59, \"c\": 532}", "seed": "9913226387106125289", "semantic_fingerprint": "sha256:29a36a8d89ed1e3cfd8bdb261090f2a03586ad947da7d0fd07ad3311231a54f4", "generator_version": "3.0"}
{"id": "v3_val_00006931", "prompt": "What value of x satisfies 5x + 748 = 4(x + 183)?", "solution_steps": ["Expand: 5x + 748 = 4x + 732", "Subtract 4x from both sides: x + 748 = 732", "Subtract 748 from both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 748 = 4(x + 183)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 183, \"e\": 748, \"x\": -16}", "seed": "2353030271557102271", "semantic_fingerprint": "sha256:048a62ea065fdd35526c602bfe0bd29fb2a9df64a283cc6af7b7f944598da320", "generator_version": "3.0"}
{"id": "v3_val_00006932", "prompt": "Calculate: (226 + 3) * (-77)", "solution_steps": ["Add: 226 + 3 = 229", "Multiply: 229 * (-77) = -17633"], "final_answer": "-17633", "answer_type": "integer", "kind": "expression", "math_text": "(226 + 3) * (-77)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 226, \"b\": 3, \"c\": -77}", "seed": "5219199202093428389", "semantic_fingerprint": "sha256:6b910e16add27fe231619ef274596eb43b1f11accc6ecbfc7026714d9a06d138", "generator_version": "3.0"}
{"id": "v3_val_00006933", "prompt": "Find x: 6(x - 8) = -8(x + 9) + 192", "solution_steps": ["Expand: 6x - 48 = -8(x + 9) + 192", "Expand: 6x - 48 = -8x - 72 + 192", "Combine constants: 6x - 48 = -8x + 120", "Add 8x to both sides: 14x - 48 = 120", "Add 48 to both sides: 14x = 168", "Divide both sides by 14: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 8) = -8(x + 9) + 192", "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\": -8, \"d\": 9, \"f\": 192, \"x\": 12}", "seed": "18184250137932365582", "semantic_fingerprint": "sha256:2b7bbb6925f3d18aaa3b2dd5c0950958c27b65abb0fb4dbf778705e7572ca260", "generator_version": "3.0"}
{"id": "v3_val_00006934", "prompt": "Solve for x: x + 828 = 12(x + 69)", "solution_steps": ["Expand: x + 828 = 12x + 828", "Subtract 12x from both sides: -11x + 828 = 828", "Subtract 828 from both sides: -11x = 0", "Divide both sides by -11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 828 = 12(x + 69)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 69, \"d\": 828, \"x\": 0}", "seed": "9852907995508420235", "semantic_fingerprint": "sha256:a3ddea7420aa568251f4d47b5b3649608d9a684b335a90daa2dd1928ef5fe527", "generator_version": "3.0"}
{"id": "v3_val_00006935", "prompt": "What is -51 * (-7) * 5 + (-361 - 24)?", "solution_steps": ["Multiply: -51 * (-7) = 357", "Multiply: 357 * 5 = 1785", "Subtract: -361 - 24 = -385", "Add: 1785 + (-385) = 1400"], "final_answer": "1400", "answer_type": "integer", "kind": "expression", "math_text": "-51 * (-7) * 5 + (-361 - 24)", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -7, \"c\": 5, \"d\": -361, \"e\": 24}", "seed": "11987240689193505354", "semantic_fingerprint": "sha256:75bdf42f7344cdf807f67bcb716f2f29576d3007d9027c25550d2de3432149ab", "generator_version": "3.0"}
{"id": "v3_val_00006936", "prompt": "Solve the equation -5(x + 79) - 3 = -463 for x.", "solution_steps": ["Expand: -5x - 395 - 3 = -463", "Combine constants: -5x - 398 = -463", "Add 398 to both sides: -5x = -65", "Divide both sides by -5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 79) - 3 = -463", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 79, \"c\": 3, \"e\": -463, \"x\": 13}", "seed": "13798792177757368829", "semantic_fingerprint": "sha256:640f20d32ba6fa323db8264dcb885882ae85a6094752a866c0480ffb96d32548", "generator_version": "3.0"}
{"id": "v3_val_00006937", "prompt": "What is -46 / (58 * 97)?", "solution_steps": ["Multiply: 58 * 97 = 5626", "Divide: -46 / 5626 = -23/2813"], "final_answer": "-23/2813", "answer_type": "rational", "kind": "expression", "math_text": "-46 / (58 * 97)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 58, \"c\": 97}", "seed": "2145973461964919426", "semantic_fingerprint": "sha256:21b13679d6b35b2d2d53bbb55b1fdc416ae9a30891b90986bfdc0f9cf092a557", "generator_version": "3.0"}
{"id": "v3_val_00006938", "prompt": "Evaluate: 66 - (-25) + (-48 - (-644))", "solution_steps": ["Subtract: 66 - (-25) = 91", "Subtract: -48 - (-644) = 596", "Add: 91 + 596 = 687"], "final_answer": "687", "answer_type": "integer", "kind": "expression", "math_text": "66 - (-25) + (-48 - (-644))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -25, \"c\": -48, \"d\": -644}", "seed": "3605288669191381740", "semantic_fingerprint": "sha256:58e89802fa2ff10868b69e87b49823607e43474303cc98e146a6cff44aef8076", "generator_version": "3.0"}
{"id": "v3_val_00006939", "prompt": "What is -167 / (83 / 35)?", "solution_steps": ["Divide: 83 / 35 = 83/35", "Divide: -167 / (83/35) = -5845/83"], "final_answer": "-5845/83", "answer_type": "rational", "kind": "expression", "math_text": "-167 / (83 / 35)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -167, \"b\": 83, \"c\": 35}", "seed": "17731771802562483770", "semantic_fingerprint": "sha256:9fb3c80c68fcb0d2d165a540ba26200d0b573402fc01db67d4a92b2cf05aaac8", "generator_version": "3.0"}
{"id": "v3_val_00006940", "prompt": "Solve for x: 10x = -8(x - 9)", "solution_steps": ["Expand: 10x = -8x + 72", "Add 8x to both sides: 18x = 72", "Divide both sides by 18: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -8(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -8, \"c\": 9}", "seed": "17886941870560347294", "semantic_fingerprint": "sha256:6c7f6d351d48089f2a804bea357bfe556efe40f966f5b6a4ddb320f47ee643ce", "generator_version": "3.0"}
{"id": "v3_val_00006941", "prompt": "Calculate: 112 * (6 * (-32))", "solution_steps": ["Multiply: 6 * (-32) = -192", "Multiply: 112 * (-192) = -21504"], "final_answer": "-21504", "answer_type": "integer", "kind": "expression", "math_text": "112 * (6 * (-32))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 112, \"b\": 6, \"c\": -32}", "seed": "15703552292750905239", "semantic_fingerprint": "sha256:5eeeff2278a75eaa1e70438cef4551de2974cc714723ef06144ad1781f8a1330", "generator_version": "3.0"}
{"id": "v3_val_00006942", "prompt": "What is 47 / (-5) * (-65 / (4 / (-8)))?", "solution_steps": ["Divide: 47 / (-5) = -47/5", "Divide: 4 / (-8) = -1/2", "Divide: -65 / (-1/2) = 130", "Multiply: (-47/5) * 130 = -1222"], "final_answer": "-1222", "answer_type": "integer", "kind": "expression", "math_text": "47 / (-5) * (-65 / (4 / (-8)))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -5, \"c\": -65, \"d\": 4, \"e\": -8}", "seed": "3451982939230019508", "semantic_fingerprint": "sha256:2b82d64235aa979d3b10ddef252f36911245c8596af622bea02a249cd6b56794", "generator_version": "3.0"}
{"id": "v3_val_00006943", "prompt": "Find x: 8(x + 71) - 27 = 11(x - 1) + 492", "solution_steps": ["Expand: 8x + 568 - 27 = 11(x - 1) + 492", "Expand: 8x + 568 - 27 = 11x - 11 + 492", "Combine constants: 8x + 541 = 11x - 11 + 492", "Combine constants: 8x + 541 = 11x + 481", "Subtract 11x from both sides: -3x + 541 = 481", "Subtract 541 from both sides: -3x = -60", "Divide both sides by -3: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 71) - 27 = 11(x - 1) + 492", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 71, \"c\": 27, \"d\": 11, \"e\": 1, \"g\": 492, \"x\": 20}", "seed": "17592608603521831247", "semantic_fingerprint": "sha256:03f14eed806b4ef2da29b7b4258c33c53979f60c604f78edc57eb8a367110a18", "generator_version": "3.0"}
{"id": "v3_val_00006944", "prompt": "Compute: 84 / (-4 * (723 - (-4 - 2)))", "solution_steps": ["Subtract: -4 - 2 = -6", "Subtract: 723 - (-6) = 729", "Multiply: -4 * 729 = -2916", "Divide: 84 / (-2916) = -7/243"], "final_answer": "-7/243", "answer_type": "rational", "kind": "expression", "math_text": "84 / (-4 * (723 - (-4 - 2)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (- n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -4, \"c\": 723, \"d\": -4, \"e\": 2}", "seed": "7682859941353428838", "semantic_fingerprint": "sha256:b2a877d22735ad58ac60dc407665f790e13f0d1d3a02bbe7cd193375f1592925", "generator_version": "3.0"}
{"id": "v3_val_00006945", "prompt": "Find x: -9x = -10(x - 5) + 27", "solution_steps": ["Expand: -9x = -10x + 50 + 27", "Combine constants: -9x = -10x + 77", "Add 10x to both sides: x = 77"], "final_answer": "77", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = -10(x - 5) + 27", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -10, \"c\": 5, \"d\": 27}", "seed": "7386598686000870046", "semantic_fingerprint": "sha256:f550013f06bdcd7f50250fd4266ff1e95fb2d133d75dce94ccc92fd4ab33e322", "generator_version": "3.0"}
{"id": "v3_val_00006946", "prompt": "What is 6 * 252?", "solution_steps": ["Multiply: 6 * 252 = 1512"], "final_answer": "1512", "answer_type": "integer", "kind": "expression", "math_text": "6 * 252", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 252}", "seed": "8277884034884316582", "semantic_fingerprint": "sha256:8bc238aed5ce3bdf0a81026ae473be4dd5606599c08edb53399108029c4e0c64", "generator_version": "3.0"}
{"id": "v3_val_00006947", "prompt": "Evaluate: (310 - (-17)) / 69", "solution_steps": ["Subtract: 310 - (-17) = 327", "Divide: 327 / 69 = 109/23"], "final_answer": "109/23", "answer_type": "rational", "kind": "expression", "math_text": "(310 - (-17)) / 69", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 310, \"b\": -17, \"c\": 69}", "seed": "2872666947686980514", "semantic_fingerprint": "sha256:879d9dfe4b883c333796ac2a925aeb2e5abb20d1a3a71a53ce60abea70e487dd", "generator_version": "3.0"}
{"id": "v3_val_00006948", "prompt": "Find x: -9(x + 264) + 370 = 9(x + 3)", "solution_steps": ["Expand: -9x - 2376 + 370 = 9(x + 3)", "Expand: -9x - 2376 + 370 = 9x + 27", "Combine constants: -9x - 2006 = 9x + 27", "Subtract 9x from both sides: -18x - 2006 = 27", "Add 2006 to both sides: -18x = 2033", "Divide both sides by -18: x = -2033/18"], "final_answer": "-2033/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 264) + 370 = 9(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\": 264, \"c\": 370, \"d\": 9, \"e\": 3}", "seed": "1478519191227560528", "semantic_fingerprint": "sha256:89aa6b688955351ed727ecdd311161edd669ffdbe20f9324c2cf91a110432aca", "generator_version": "3.0"}
{"id": "v3_val_00006949", "prompt": "Evaluate: -78 - (-82) - 68 / 8", "solution_steps": ["Subtract: -78 - (-82) = 4", "Divide: 68 / 8 = 17/2", "Subtract: 4 - 17/2 = -9/2"], "final_answer": "-9/2", "answer_type": "rational", "kind": "expression", "math_text": "-78 - (-82) - 68 / 8", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -82, \"c\": 68, \"d\": 8}", "seed": "16736365758948833475", "semantic_fingerprint": "sha256:1d7be26d3ef479051e8d4fbb4ef63fff50c93df90658c1fe30cff0be9b6dd85e", "generator_version": "3.0"}
{"id": "v3_val_00006950", "prompt": "What is 48 * 168 - (-66 - (-94) - 53 / 38)?", "solution_steps": ["Multiply: 48 * 168 = 8064", "Subtract: -66 - (-94) = 28", "Divide: 53 / 38 = 53/38", "Subtract: 28 - 53/38 = 1011/38", "Subtract: 8064 - 1011/38 = 305421/38"], "final_answer": "305421/38", "answer_type": "rational", "kind": "expression", "math_text": "48 * 168 - (-66 - (-94) - 53 / 38)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 168, \"c\": -66, \"d\": -94, \"e\": 53, \"f\": 38}", "seed": "1255559549955534633", "semantic_fingerprint": "sha256:5b2d7aff3e7fc977c3f2e1df86f4dcd7f250357ada5d2f80b4820f5c6aeaa4c9", "generator_version": "3.0"}
{"id": "v3_val_00006951", "prompt": "Solve the equation 10x - 40 = 6(x + 2) for x.", "solution_steps": ["Expand: 10x - 40 = 6x + 12", "Subtract 6x from both sides: 4x - 40 = 12", "Add 40 to both sides: 4x = 52", "Divide both sides by 4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 40 = 6(x + 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 2, \"e\": -40, \"x\": 13}", "seed": "4403241876128327426", "semantic_fingerprint": "sha256:fac7c9174c1483bb436066e6836c69079f07c817da96ae8460929dfe98ab3179", "generator_version": "3.0"}
{"id": "v3_val_00006952", "prompt": "Calculate: -851 * 43 - 12 - 71", "solution_steps": ["Multiply: -851 * 43 = -36593", "Subtract: -36593 - 12 = -36605", "Subtract: -36605 - 71 = -36676"], "final_answer": "-36676", "answer_type": "integer", "kind": "expression", "math_text": "-851 * 43 - 12 - 71", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -851, \"b\": 43, \"c\": 12, \"d\": 71}", "seed": "9192666492664268282", "semantic_fingerprint": "sha256:b69544ecbc0b5308bde57cc1c8d76e161b56f4a5d82a509771f8a7496d127675", "generator_version": "3.0"}
{"id": "v3_val_00006953", "prompt": "Compute: 55 + (-68)", "solution_steps": ["Add: 55 + (-68) = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "55 + (-68)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -68}", "seed": "8497133840193162645", "semantic_fingerprint": "sha256:57f8082de2d3e32caed6fb874c582db0143b792cd84b8c24f7e9510ff9add96e", "generator_version": "3.0"}
{"id": "v3_val_00006954", "prompt": "Calculate: 549 * (-39) / (-5 + (-670 - (-5)))", "solution_steps": ["Multiply: 549 * (-39) = -21411", "Subtract: -670 - (-5) = -665", "Add: -5 + (-665) = -670", "Divide: -21411 / (-670) = 21411/670"], "final_answer": "21411/670", "answer_type": "rational", "kind": "expression", "math_text": "549 * (-39) / (-5 + (-670 - (-5)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 549, \"b\": -39, \"c\": -5, \"d\": -670, \"e\": -5}", "seed": "9600506240443749769", "semantic_fingerprint": "sha256:d12bfe4484051a19a573d37643ea46204e3de670b25e6a5a6db3e94e3f00a30b", "generator_version": "3.0"}
{"id": "v3_val_00006955", "prompt": "Compute: -242 * (86 - 102)", "solution_steps": ["Subtract: 86 - 102 = -16", "Multiply: -242 * (-16) = 3872"], "final_answer": "3872", "answer_type": "integer", "kind": "expression", "math_text": "-242 * (86 - 102)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -242, \"b\": 86, \"c\": 102}", "seed": "12528140997239438568", "semantic_fingerprint": "sha256:8d552b2f3a63daf80649b06caa19de1ac6ed36685ca0e8f78837d66e338c4119", "generator_version": "3.0"}
{"id": "v3_val_00006956", "prompt": "Find x: -10x = x + 88", "solution_steps": ["Subtract x from both sides: -11x = 88", "Divide both sides by -11: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = x + 88", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"c\": 88, \"x\": -8}", "seed": "16889106866472822396", "semantic_fingerprint": "sha256:068cf9be7072c42e0f500e75cbd2a6fdbab204a8181ac7dd3d00bc4ced6d15a9", "generator_version": "3.0"}
{"id": "v3_val_00006957", "prompt": "Calculate: 35 - (36 - (-9) / (-27 - 53))", "solution_steps": ["Subtract: -27 - 53 = -80", "Divide: -9 / (-80) = 9/80", "Subtract: 36 - 9/80 = 2871/80", "Subtract: 35 - 2871/80 = -71/80"], "final_answer": "-71/80", "answer_type": "rational", "kind": "expression", "math_text": "35 - (36 - (-9) / (-27 - 53))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (/ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 36, \"c\": -9, \"d\": -27, \"e\": 53}", "seed": "1599546219685685707", "semantic_fingerprint": "sha256:4493bb9e9bc02d918b18208d334c073cf3c92d7db061393ce44f1070557a3b33", "generator_version": "3.0"}
{"id": "v3_val_00006958", "prompt": "What is 50 / (371 - (-70)) - (-8)?", "solution_steps": ["Subtract: 371 - (-70) = 441", "Divide: 50 / 441 = 50/441", "Subtract: 50/441 - (-8) = 3578/441"], "final_answer": "3578/441", "answer_type": "rational", "kind": "expression", "math_text": "50 / (371 - (-70)) - (-8)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 371, \"c\": -70, \"d\": -8}", "seed": "11933926462789143430", "semantic_fingerprint": "sha256:faf32fd5f1c1ee8aa94c6ca6f7884286ff2f3858edbb5db82d49ad66ae31ab04", "generator_version": "3.0"}
{"id": "v3_val_00006959", "prompt": "What is -972 * 989 - (-88)?", "solution_steps": ["Multiply: -972 * 989 = -961308", "Subtract: -961308 - (-88) = -961220"], "final_answer": "-961220", "answer_type": "integer", "kind": "expression", "math_text": "-972 * 989 - (-88)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -972, \"b\": 989, \"c\": -88}", "seed": "10439110539980073392", "semantic_fingerprint": "sha256:4fc7f614b2d4b8089978918b23dd8d5dc4768302ae4fd2b5af6dbb7bb3dde533", "generator_version": "3.0"}
{"id": "v3_val_00006960", "prompt": "Evaluate: 903 / ((3 - (-50)) * 558)", "solution_steps": ["Subtract: 3 - (-50) = 53", "Multiply: 53 * 558 = 29574", "Divide: 903 / 29574 = 301/9858"], "final_answer": "301/9858", "answer_type": "rational", "kind": "expression", "math_text": "903 / ((3 - (-50)) * 558)", "variable": null, "family": "expression_3op", "shape": "(/ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 903, \"b\": 3, \"c\": -50, \"d\": 558}", "seed": "14414529018053024628", "semantic_fingerprint": "sha256:bb1e9f8290110ab8c00fadb20aba0f2b513597ba9c3b33341f64539bb434a844", "generator_version": "3.0"}
{"id": "v3_val_00006961", "prompt": "Calculate: (-4 / (-5 + 44) - 38) / (34 + 7)", "solution_steps": ["Add: -5 + 44 = 39", "Divide: -4 / 39 = -4/39", "Subtract: -4/39 - 38 = -1486/39", "Add: 34 + 7 = 41", "Divide: (-1486/39) / 41 = -1486/1599"], "final_answer": "-1486/1599", "answer_type": "rational", "kind": "expression", "math_text": "(-4 / (-5 + 44) - 38) / (34 + 7)", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n (+ n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -5, \"c\": 44, \"d\": 38, \"e\": 34, \"f\": 7}", "seed": "6203545646613403407", "semantic_fingerprint": "sha256:2580b2356870662a9e969f7632cab55fd9a3e3c8b96acaeaf636df27d69c63ff", "generator_version": "3.0"}
{"id": "v3_val_00006962", "prompt": "Compute: -3 / (-142) * 884", "solution_steps": ["Divide: -3 / (-142) = 3/142", "Multiply: (3/142) * 884 = 1326/71"], "final_answer": "1326/71", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-142) * 884", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -142, \"c\": 884}", "seed": "4635150845125669229", "semantic_fingerprint": "sha256:3b8862fcd6d446af60bba5117ee32dc5df51cf2a2d02194c1f9fe76369de8feb", "generator_version": "3.0"}
{"id": "v3_val_00006963", "prompt": "Solve for x: -4x = 12(x - 50)", "solution_steps": ["Expand: -4x = 12x - 600", "Subtract 12x from both sides: -16x = -600", "Divide both sides by -16: x = 75/2"], "final_answer": "75/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x = 12(x - 50)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 12, \"c\": 50}", "seed": "761811454076218043", "semantic_fingerprint": "sha256:a57baaafc5336ab3a7fa9bf9f9d841f39e86fea0bea0529109d62f083aae01d4", "generator_version": "3.0"}
{"id": "v3_val_00006964", "prompt": "Calculate: -7 / (-7 / (-924)) - (-10)", "solution_steps": ["Divide: -7 / (-924) = 1/132", "Divide: -7 / (1/132) = -924", "Subtract: -924 - (-10) = -914"], "final_answer": "-914", "answer_type": "integer", "kind": "expression", "math_text": "-7 / (-7 / (-924)) - (-10)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -7, \"c\": -924, \"d\": -10}", "seed": "9073753666166585025", "semantic_fingerprint": "sha256:d7e4d14fb59dea4ccca5ee48e7e720c94ac3a33777ab3f819e026a820ca512fd", "generator_version": "3.0"}
{"id": "v3_val_00006965", "prompt": "Evaluate: 3 + 41 + (-1 + (-51))", "solution_steps": ["Add: 3 + 41 = 44", "Add: -1 + (-51) = -52", "Add: 44 + (-52) = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "3 + 41 + (-1 + (-51))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 41, \"c\": -1, \"d\": -51}", "seed": "8201794705069544374", "semantic_fingerprint": "sha256:0061a5d71e3c00fb2189185821ad543db51ae7b9ee30330f0171aa05fe108454", "generator_version": "3.0"}
{"id": "v3_val_00006966", "prompt": "Compute: 6 / 28 * ((-94 + 326) / 584 + (-25))", "solution_steps": ["Divide: 6 / 28 = 3/14", "Add: -94 + 326 = 232", "Divide: 232 / 584 = 29/73", "Add: 29/73 + (-25) = -1796/73", "Multiply: (3/14) * (-1796/73) = -2694/511"], "final_answer": "-2694/511", "answer_type": "rational", "kind": "expression", "math_text": "6 / 28 * ((-94 + 326) / 584 + (-25))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (+ (/ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 28, \"c\": -94, \"d\": 326, \"e\": 584, \"f\": -25}", "seed": "6442263190147231065", "semantic_fingerprint": "sha256:685f42054faa0d0aba26a49cf4f5da43f850b2356153f423b0c87aa959411630", "generator_version": "3.0"}
{"id": "v3_val_00006967", "prompt": "Solve for x: x + 5 = 242", "solution_steps": ["Subtract 5 from both sides: x = 237"], "final_answer": "237", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5 = 242", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 242}", "seed": "16291853442567022111", "semantic_fingerprint": "sha256:683747b084ebdcd8f1771f768532a0e79feb1dc769a1dc917f02fa560b8e0cea", "generator_version": "3.0"}
{"id": "v3_val_00006968", "prompt": "What value of x satisfies -2x + 3 = 29?", "solution_steps": ["Subtract 3 from both sides: -2x = 26", "Divide both sides by -2: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x + 3 = 29", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"d\": 29, \"x\": -13}", "seed": "16981368934140425891", "semantic_fingerprint": "sha256:8f5aff7b647890b41b0bc5de74fe317c5fbbc045f3cef3377084a6381d334d07", "generator_version": "3.0"}
{"id": "v3_val_00006969", "prompt": "What is 6 * (20 - 37)?", "solution_steps": ["Subtract: 20 - 37 = -17", "Multiply: 6 * (-17) = -102"], "final_answer": "-102", "answer_type": "integer", "kind": "expression", "math_text": "6 * (20 - 37)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 20, \"c\": 37}", "seed": "14430416988330344265", "semantic_fingerprint": "sha256:cfb980ed41f2abd41bb542c577ded0df25d7da5d8d3deaf842653107c1f1d623", "generator_version": "3.0"}
{"id": "v3_val_00006970", "prompt": "Find x: -10x = 3x + 5", "solution_steps": ["Subtract 3x from both sides: -13x = 5", "Divide both sides by -13: x = -5/13"], "final_answer": "-5/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x = 3x + 5", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"c\": 5}", "seed": "6410050989456267462", "semantic_fingerprint": "sha256:33a3858992e7270d5afd935e58e653c2062bc93f052e754c9b6a344a344414f0", "generator_version": "3.0"}
{"id": "v3_val_00006971", "prompt": "Find x: -12(x + 5) - 632 = 2(x - 9) - 450", "solution_steps": ["Expand: -12x - 60 - 632 = 2(x - 9) - 450", "Expand: -12x - 60 - 632 = 2x - 18 - 450", "Combine constants: -12x - 692 = 2x - 18 - 450", "Combine constants: -12x - 692 = 2x - 468", "Subtract 2x from both sides: -14x - 692 = -468", "Add 692 to both sides: -14x = 224", "Divide both sides by -14: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 5) - 632 = 2(x - 9) - 450", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 5, \"c\": 632, \"d\": 2, \"e\": 9, \"g\": -450, \"x\": -16}", "seed": "2699484646972666006", "semantic_fingerprint": "sha256:17d15364d30cf45578894c0a2a4d52afa41e003437bafc76cfb15c21cdb983ce", "generator_version": "3.0"}
{"id": "v3_val_00006972", "prompt": "Evaluate: 65 * (-6)", "solution_steps": ["Multiply: 65 * (-6) = -390"], "final_answer": "-390", "answer_type": "integer", "kind": "expression", "math_text": "65 * (-6)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -6}", "seed": "11627326030195554390", "semantic_fingerprint": "sha256:11007575ddc9daee574ce67f227170f9b9bda75172846e8362f634ef930cbfc2", "generator_version": "3.0"}
{"id": "v3_val_00006973", "prompt": "Evaluate: -44 / (-71 - (89 + (-7)))", "solution_steps": ["Add: 89 + (-7) = 82", "Subtract: -71 - 82 = -153", "Divide: -44 / (-153) = 44/153"], "final_answer": "44/153", "answer_type": "rational", "kind": "expression", "math_text": "-44 / (-71 - (89 + (-7)))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -71, \"c\": 89, \"d\": -7}", "seed": "18083222106193008318", "semantic_fingerprint": "sha256:1b8f9ff36d14850694741648a3672bbc2fa6945ac8cd314c9a963b6bd3d83c17", "generator_version": "3.0"}
{"id": "v3_val_00006974", "prompt": "What is (962 + 0 - 8) * (8 + 5) - 3?", "solution_steps": ["Add: 962 + 0 = 962", "Subtract: 962 - 8 = 954", "Add: 8 + 5 = 13", "Multiply: 954 * 13 = 12402", "Subtract: 12402 - 3 = 12399"], "final_answer": "12399", "answer_type": "integer", "kind": "expression", "math_text": "(962 + 0 - 8) * (8 + 5) - 3", "variable": null, "family": "expression_5op", "shape": "(- (* (- (+ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 962, \"b\": 0, \"c\": 8, \"d\": 8, \"e\": 5, \"f\": 3}", "seed": "16622738002933520796", "semantic_fingerprint": "sha256:21a80b9b33ec2659ccd0b612895c22d2599c369f2e97680594078cc14799f15b", "generator_version": "3.0"}
{"id": "v3_val_00006975", "prompt": "What is -556 - (8 / 2 - 0)?", "solution_steps": ["Divide: 8 / 2 = 4", "Subtract: 4 - 0 = 4", "Subtract: -556 - 4 = -560"], "final_answer": "-560", "answer_type": "integer", "kind": "expression", "math_text": "-556 - (8 / 2 - 0)", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -556, \"b\": 8, \"c\": 2, \"d\": 0}", "seed": "792670262236299114", "semantic_fingerprint": "sha256:1fe3bc32dae78cc3ba1b68fbcd5bb9f3c87ae12e325b43b6741b56676d280e28", "generator_version": "3.0"}
{"id": "v3_val_00006976", "prompt": "Calculate: 0 * (45 - (827 - (-553)))", "solution_steps": ["Subtract: 827 - (-553) = 1380", "Subtract: 45 - 1380 = -1335", "Multiply: 0 * (-1335) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (45 - (827 - (-553)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 45, \"c\": 827, \"d\": -553}", "seed": "11099137098105780194", "semantic_fingerprint": "sha256:c53324453faa83d22e5acbcc32696838b01fbae5bf57a91278c4fdf97a686d32", "generator_version": "3.0"}
{"id": "v3_val_00006977", "prompt": "What is -7 * (-3 / (-793 / (-9)))?", "solution_steps": ["Divide: -793 / (-9) = 793/9", "Divide: -3 / (793/9) = -27/793", "Multiply: -7 * (-27/793) = 189/793"], "final_answer": "189/793", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (-3 / (-793 / (-9)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -3, \"c\": -793, \"d\": -9}", "seed": "14253340669865004234", "semantic_fingerprint": "sha256:e5338c43cd4f3bf927121b5b60d6c43a6a79c1ae94c8678d544c0454b011929e", "generator_version": "3.0"}
{"id": "v3_val_00006978", "prompt": "Solve the equation 6x + 37 = 3(x - 1) for x.", "solution_steps": ["Expand: 6x + 37 = 3x - 3", "Subtract 3x from both sides: 3x + 37 = -3", "Subtract 37 from both sides: 3x = -40", "Divide both sides by 3: x = -40/3"], "final_answer": "-40/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x + 37 = 3(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 37, \"c\": 3, \"d\": 1}", "seed": "2235495597119435798", "semantic_fingerprint": "sha256:9c577cea15adf9ed33dbfb8b62d5921468dea5c916e467409e0cf138f835b04b", "generator_version": "3.0"}
{"id": "v3_val_00006979", "prompt": "Compute: (92 / (-12) - (-967)) / (-856)", "solution_steps": ["Divide: 92 / (-12) = -23/3", "Subtract: -23/3 - (-967) = 2878/3", "Divide: (2878/3) / (-856) = -1439/1284"], "final_answer": "-1439/1284", "answer_type": "rational", "kind": "expression", "math_text": "(92 / (-12) - (-967)) / (-856)", "variable": null, "family": "expression_3op", "shape": "(/ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -12, \"c\": -967, \"d\": -856}", "seed": "9538952398937736822", "semantic_fingerprint": "sha256:fb6629c2571eb7e1abdf7b75822b37526ceff04b7f53db04753f0bb569b52a48", "generator_version": "3.0"}
{"id": "v3_val_00006980", "prompt": "Calculate: (7 - (-654)) / (-2)", "solution_steps": ["Subtract: 7 - (-654) = 661", "Divide: 661 / (-2) = -661/2"], "final_answer": "-661/2", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (-654)) / (-2)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -654, \"c\": -2}", "seed": "10249514862477708665", "semantic_fingerprint": "sha256:c43e914917d2d3917c3a3805f6b08349d2502262acd556edea63802005eeaea4", "generator_version": "3.0"}
{"id": "v3_val_00006981", "prompt": "Evaluate: (-8 + 80) * (16 * (-116)) + (-55)", "solution_steps": ["Add: -8 + 80 = 72", "Multiply: 16 * (-116) = -1856", "Multiply: 72 * (-1856) = -133632", "Add: -133632 + (-55) = -133687"], "final_answer": "-133687", "answer_type": "integer", "kind": "expression", "math_text": "(-8 + 80) * (16 * (-116)) + (-55)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 80, \"c\": 16, \"d\": -116, \"e\": -55}", "seed": "3760761883951394509", "semantic_fingerprint": "sha256:7847109aeea458abe0b5c262318320d71bb68cb97c086bb380484d9edb622f13", "generator_version": "3.0"}
{"id": "v3_val_00006982", "prompt": "Evaluate: (-48 * (2 - 0) + (-7) * (-521)) / (-9)", "solution_steps": ["Subtract: 2 - 0 = 2", "Multiply: -48 * 2 = -96", "Multiply: -7 * (-521) = 3647", "Add: -96 + 3647 = 3551", "Divide: 3551 / (-9) = -3551/9"], "final_answer": "-3551/9", "answer_type": "rational", "kind": "expression", "math_text": "(-48 * (2 - 0) + (-7) * (-521)) / (-9)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* n (- n n)) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 2, \"c\": 0, \"d\": -7, \"e\": -521, \"f\": -9}", "seed": "8786414274553474122", "semantic_fingerprint": "sha256:52897c939909207ebc96535963bdad8c5d00e74dcd38e36eb1f8a6c594ceebfe", "generator_version": "3.0"}
{"id": "v3_val_00006983", "prompt": "What value of x satisfies 5(x - 628) - 901 = x - 81?", "solution_steps": ["Expand: 5x - 3140 - 901 = x - 81", "Combine constants: 5x - 4041 = x - 81", "Subtract x from both sides: 4x - 4041 = -81", "Add 4041 to both sides: 4x = 3960", "Divide both sides by 4: x = 990"], "final_answer": "990", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 628) - 901 = x - 81", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 628, \"c\": 901, \"d\": 81}", "seed": "3084984468792460736", "semantic_fingerprint": "sha256:0ecb4f4782975a40c4e79b4272d98e546c6258675bbe53b05fb50311e0f6e724", "generator_version": "3.0"}
{"id": "v3_val_00006984", "prompt": "Compute: -61 * (-4 + (-686 - (-37)))", "solution_steps": ["Subtract: -686 - (-37) = -649", "Add: -4 + (-649) = -653", "Multiply: -61 * (-653) = 39833"], "final_answer": "39833", "answer_type": "integer", "kind": "expression", "math_text": "-61 * (-4 + (-686 - (-37)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -4, \"c\": -686, \"d\": -37}", "seed": "16984104388944344203", "semantic_fingerprint": "sha256:c4d7fd5b7c0cf6130aca6bf3e1895a79fba8f3055004dce7489d430cf0432585", "generator_version": "3.0"}
{"id": "v3_val_00006985", "prompt": "What value of x satisfies -7(x - 180) - 243 = 9(x + 81)?", "solution_steps": ["Expand: -7x + 1260 - 243 = 9(x + 81)", "Expand: -7x + 1260 - 243 = 9x + 729", "Combine constants: -7x + 1017 = 9x + 729", "Subtract 9x from both sides: -16x + 1017 = 729", "Subtract 1017 from both sides: -16x = -288", "Divide both sides by -16: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 180) - 243 = 9(x + 81)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 180, \"c\": 9, \"d\": 81, \"f\": -243, \"x\": 18}", "seed": "2348741081132314165", "semantic_fingerprint": "sha256:77f040f8df55315822d799bb3db3c23434cbcd30d186afb8d721044ab9e4cbe4", "generator_version": "3.0"}
{"id": "v3_val_00006986", "prompt": "Find x: 8x = 12(x - 11)", "solution_steps": ["Expand: 8x = 12x - 132", "Subtract 12x from both sides: -4x = -132", "Divide both sides by -4: x = 33"], "final_answer": "33", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 12(x - 11)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 11}", "seed": "13225166594966298594", "semantic_fingerprint": "sha256:f26794da7542c12631b40ae3ef4b639332569e4dc06120bed0ed17474f22293f", "generator_version": "3.0"}
{"id": "v3_val_00006987", "prompt": "Calculate: 0 / 6 - (-713) * (30 + 48 + 683)", "solution_steps": ["Divide: 0 / 6 = 0", "Add: 30 + 48 = 78", "Add: 78 + 683 = 761", "Multiply: -713 * 761 = -542593", "Subtract: 0 - (-542593) = 542593"], "final_answer": "542593", "answer_type": "integer", "kind": "expression", "math_text": "0 / 6 - (-713) * (30 + 48 + 683)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (* n (+ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 6, \"c\": -713, \"d\": 30, \"e\": 48, \"f\": 683}", "seed": "10798403662161042194", "semantic_fingerprint": "sha256:bd1578f5c55d4fb25d8c70a67b37617111f6b72dcc25e55e29ddab9609f9cb7a", "generator_version": "3.0"}
{"id": "v3_val_00006988", "prompt": "What is -86 / (-4 + (-52)) + 95?", "solution_steps": ["Add: -4 + (-52) = -56", "Divide: -86 / (-56) = 43/28", "Add: 43/28 + 95 = 2703/28"], "final_answer": "2703/28", "answer_type": "rational", "kind": "expression", "math_text": "-86 / (-4 + (-52)) + 95", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -4, \"c\": -52, \"d\": 95}", "seed": "7814296648829545381", "semantic_fingerprint": "sha256:895cb4a37349f24caccdd34a30c339742083613e455567b1a08f820d8250d160", "generator_version": "3.0"}
{"id": "v3_val_00006989", "prompt": "What value of x satisfies 11(x - 35) - 90 = 12(x + 8) - 588?", "solution_steps": ["Expand: 11x - 385 - 90 = 12(x + 8) - 588", "Expand: 11x - 385 - 90 = 12x + 96 - 588", "Combine constants: 11x - 475 = 12x + 96 - 588", "Combine constants: 11x - 475 = 12x - 492", "Subtract 12x from both sides: -x - 475 = -492", "Add 475 to both sides: -x = -17", "Divide both sides by -1: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 35) - 90 = 12(x + 8) - 588", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 35, \"c\": 90, \"d\": 12, \"e\": 8, \"g\": -588, \"x\": 17}", "seed": "7006930702278100539", "semantic_fingerprint": "sha256:8d93ea3a770bd4935022d3f959df573c4cc745615e8a014c12fd476ce244a86a", "generator_version": "3.0"}
{"id": "v3_val_00006990", "prompt": "Calculate: -3 * (-315 / (-4) - 5)", "solution_steps": ["Divide: -315 / (-4) = 315/4", "Subtract: 315/4 - 5 = 295/4", "Multiply: -3 * (295/4) = -885/4"], "final_answer": "-885/4", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-315 / (-4) - 5)", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -315, \"c\": -4, \"d\": 5}", "seed": "18046111563662092037", "semantic_fingerprint": "sha256:c64f6069f76b93e49bcf8f5d32987e0a891820286d5cfb53a82af7c1f47ac685", "generator_version": "3.0"}
{"id": "v3_val_00006991", "prompt": "Solve the equation 5(x - 4) + 62 = 2x for x.", "solution_steps": ["Expand: 5x - 20 + 62 = 2x", "Combine constants: 5x + 42 = 2x", "Subtract 2x from both sides: 3x + 42 = 0", "Subtract 42 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 - 4) + 62 = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 2, \"e\": 62, \"x\": -14}", "seed": "1284294554927819582", "semantic_fingerprint": "sha256:7a7137a362d9f7c86946f9fc54608911430a2052078c1b6eee31ff9e46ad9466", "generator_version": "3.0"}
{"id": "v3_val_00006992", "prompt": "Calculate: (5 - 3) * (-78 - 318)", "solution_steps": ["Subtract: 5 - 3 = 2", "Subtract: -78 - 318 = -396", "Multiply: 2 * (-396) = -792"], "final_answer": "-792", "answer_type": "integer", "kind": "expression", "math_text": "(5 - 3) * (-78 - 318)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": -78, \"d\": 318}", "seed": "17023115601596327675", "semantic_fingerprint": "sha256:f9ff5048b1f7641389a05d3643bf08b13a7db83bf3ada4dfa984c63574cd0c67", "generator_version": "3.0"}
{"id": "v3_val_00006993", "prompt": "Solve the equation x - 707 = 7(x - 89) for x.", "solution_steps": ["Expand: x - 707 = 7x - 623", "Subtract 7x from both sides: -6x - 707 = -623", "Add 707 to both sides: -6x = 84", "Divide both sides by -6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 707 = 7(x - 89)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 89, \"d\": -707, \"x\": -14}", "seed": "1125196673276603019", "semantic_fingerprint": "sha256:cb8da8f07770b0f016a2139f2533bf046cccfbe1ad5e3a216c0110c866791b0e", "generator_version": "3.0"}
{"id": "v3_val_00006994", "prompt": "Evaluate: 60 / (-22 + 958) * 5", "solution_steps": ["Add: -22 + 958 = 936", "Divide: 60 / 936 = 5/78", "Multiply: (5/78) * 5 = 25/78"], "final_answer": "25/78", "answer_type": "rational", "kind": "expression", "math_text": "60 / (-22 + 958) * 5", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -22, \"c\": 958, \"d\": 5}", "seed": "10695089180518166883", "semantic_fingerprint": "sha256:a69b0ea48fb2a75efda87eb356b2a4a71b6452fb18f56a3a1c322c7cc6d7dea8", "generator_version": "3.0"}
{"id": "v3_val_00006995", "prompt": "Solve for x: 8x - 1 = 3", "solution_steps": ["Add 1 to 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 - 1 = 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 3}", "seed": "3781545836724782622", "semantic_fingerprint": "sha256:c7256e6c07071c8f79b257c0219a3bf953712c70f0b526490928002b009b9aec", "generator_version": "3.0"}
{"id": "v3_val_00006996", "prompt": "What is 40 - (-50 - 761)?", "solution_steps": ["Subtract: -50 - 761 = -811", "Subtract: 40 - (-811) = 851"], "final_answer": "851", "answer_type": "integer", "kind": "expression", "math_text": "40 - (-50 - 761)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -50, \"c\": 761}", "seed": "18066919316175947996", "semantic_fingerprint": "sha256:89448030bc76f5a4f0b02c9cbeb883fbcc330b0970ca63c5688a490f8a5fb0f8", "generator_version": "3.0"}
{"id": "v3_val_00006997", "prompt": "Solve for x: 2(x + 393) - 810 = 6(x - 8)", "solution_steps": ["Expand: 2x + 786 - 810 = 6(x - 8)", "Expand: 2x + 786 - 810 = 6x - 48", "Combine constants: 2x - 24 = 6x - 48", "Subtract 6x from both sides: -4x - 24 = -48", "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": "2(x + 393) - 810 = 6(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 393, \"c\": 6, \"d\": 8, \"f\": -810, \"x\": 6}", "seed": "3913084493600624605", "semantic_fingerprint": "sha256:b312df35e3b36d0a6132dfcd9b71fa8af961265df1d6cb8c6ee68ee46fc01dcd", "generator_version": "3.0"}
{"id": "v3_val_00006998", "prompt": "Calculate: -60 - (-5) - 415 - (-8 - (-43))", "solution_steps": ["Subtract: -60 - (-5) = -55", "Subtract: -55 - 415 = -470", "Subtract: -8 - (-43) = 35", "Subtract: -470 - 35 = -505"], "final_answer": "-505", "answer_type": "integer", "kind": "expression", "math_text": "-60 - (-5) - 415 - (-8 - (-43))", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -5, \"c\": 415, \"d\": -8, \"e\": -43}", "seed": "12680148490966488645", "semantic_fingerprint": "sha256:4b39df85b53c9853c11d175d5c62b90056b7b96598487ad462ae689eea18a9c8", "generator_version": "3.0"}
{"id": "v3_val_00006999", "prompt": "Calculate: 29 - (-4 + (-74 - 11 + (-17)))", "solution_steps": ["Subtract: -74 - 11 = -85", "Add: -85 + (-17) = -102", "Add: -4 + (-102) = -106", "Subtract: 29 - (-106) = 135"], "final_answer": "135", "answer_type": "integer", "kind": "expression", "math_text": "29 - (-4 + (-74 - 11 + (-17)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -4, \"c\": -74, \"d\": 11, \"e\": -17}", "seed": "8448665955921273060", "semantic_fingerprint": "sha256:5f56ec40eba34266a3de9c50f370569da025d9795dae3bc70370a874683b3825", "generator_version": "3.0"}