id string | prompt string | solution_steps list | final_answer string | answer_type string | kind string | math_text string | variable string | family string | shape string | difficulty int64 | number_range string | params string | seed string | semantic_fingerprint string | generator_version string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
v3_val_00000000 | Compute: 93 - (-90) * (-73) | [
"Multiply: -90 * (-73) = 6570",
"Subtract: 93 - 6570 = -6477"
] | -6477 | integer | expression | 93 - (-90) * (-73) | null | expression_2op | (- n (* n n)) | 2 | in_distribution | {"a": 93, "b": -90, "c": -73} | 11151817259245232693 | sha256:a7c59ac33b904013994ef89bcabb68028cf2ddaafe9388df2652f93468c39f1d | 3.0 |
v3_val_00000001 | Evaluate: -6 - (108 + (-95)) | [
"Add: 108 + (-95) = 13",
"Subtract: -6 - 13 = -19"
] | -19 | integer | expression | -6 - (108 + (-95)) | null | expression_2op | (- n (+ n n)) | 2 | in_distribution | {"a": -6, "b": 108, "c": -95} | 502046708071172230 | sha256:3e7b0f5f6754020d18e23954b655ba86e083d2dd0c6c7b49e8b42a2345b2a051 | 3.0 |
v3_val_00000002 | Compute: -29 + 61 - (-260) | [
"Add: -29 + 61 = 32",
"Subtract: 32 - (-260) = 292"
] | 292 | integer | expression | -29 + 61 - (-260) | null | expression_2op | (- (+ n n) n) | 2 | in_distribution | {"a": -29, "b": 61, "c": -260} | 12531911735837569474 | sha256:b86ed7a0fb2fb99ece466d3b5792dcadbb7c722b8edf6507e045168e818d1c15 | 3.0 |
v3_val_00000003 | Solve the equation 9(x + 53) - 894 = 2(x - 9) - 525 for x. | [
"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"
] | -18 | integer | linear_equation | 9(x + 53) - 894 = 2(x - 9) - 525 | x | linear_equation | k(x+b)-c=k(x-b)-c | 5 | in_distribution | {"a": 9, "b": 53, "c": 894, "d": 2, "e": 9, "g": -525, "x": -18} | 6781905108508683373 | sha256:d68a7b78d4014f0fe8958edf7eb5426caf559d1b713730407c8754de3813554c | 3.0 |
v3_val_00000004 | What is (132 + (-6)) / 15? | [
"Add: 132 + (-6) = 126",
"Divide: 126 / 15 = 42/5"
] | 42/5 | rational | expression | (132 + (-6)) / 15 | null | expression_2op | (/ (+ n n) n) | 2 | in_distribution | {"a": 132, "b": -6, "c": 15} | 10371028929195053676 | sha256:4e46bdd640c7edf51d40b17932075a3ff6721d5568029f0654426f527e46e869 | 3.0 |
v3_val_00000005 | What is -637 * 71 + (-6 / 8 + (-39)) * 321? | [
"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"
] | -231947/4 | rational | expression | -637 * 71 + (-6 / 8 + (-39)) * 321 | null | expression_5op | (+ (* n n) (* (+ (/ n n) n) n)) | 5 | in_distribution | {"a": -637, "b": 71, "c": -6, "d": 8, "e": -39, "f": 321} | 5078300614311104372 | sha256:a39c07e764015374566fecdb1f26659f54ecde67108170f4117628ddf7d2c320 | 3.0 |
v3_val_00000006 | What is -7 / (-7 + (-548 - 220 - (-19)))? | [
"Subtract: -548 - 220 = -768",
"Subtract: -768 - (-19) = -749",
"Add: -7 + (-749) = -756",
"Divide: -7 / (-756) = 1/108"
] | 1/108 | rational | expression | -7 / (-7 + (-548 - 220 - (-19))) | null | expression_4op | (/ n (+ n (- (- n n) n))) | 4 | in_distribution | {"a": -7, "b": -7, "c": -548, "d": 220, "e": -19} | 11653348623337179643 | sha256:9ab7d9f19aaafcf9079e7c84ad58122388833f0485a364d05abfb8f0842d1a58 | 3.0 |
v3_val_00000007 | Solve the equation 9(x + 440) = 7(x - 467) for x. | [
"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"
] | -7229/2 | rational | linear_equation | 9(x + 440) = 7(x - 467) | x | linear_equation | k(x+b)=k(x-b) | 4 | in_distribution | {"a": 9, "b": 440, "c": 7, "d": 467} | 573536894993367400 | sha256:97f0eab71bbdd12dd951d82b0bddb54616e77af61e165147904c3b63b73538bd | 3.0 |
v3_val_00000008 | Compute: 351 - (-8) + (-4) / 57 - 83 * 2 | [
"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"
] | 10997/57 | rational | expression | 351 - (-8) + (-4) / 57 - 83 * 2 | null | expression_5op | (- (+ (- n n) (/ n n)) (* n n)) | 5 | in_distribution | {"a": 351, "b": -8, "c": -4, "d": 57, "e": 83, "f": 2} | 2219361918880900071 | sha256:d4264c0ca34ae5da5b77d6de769b29fe8b8d9c9e906d2e59d4f92ce3df42619f | 3.0 |
v3_val_00000009 | Solve the equation 9(x - 42) + 360 = x for x. | [
"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"
] | 9/4 | rational | linear_equation | 9(x - 42) + 360 = x | x | linear_equation | k(x-b)+c=x | 4 | in_distribution | {"a": 9, "b": 42, "c": 360} | 9466668498990724346 | sha256:21408cb8d155dc31e285b92da48360961b66ac17114043734ba18f3470f3ef53 | 3.0 |
v3_val_00000010 | Calculate: 320 * (-99) - 547 - (-748) | [
"Multiply: 320 * (-99) = -31680",
"Subtract: -31680 - 547 = -32227",
"Subtract: -32227 - (-748) = -31479"
] | -31479 | integer | expression | 320 * (-99) - 547 - (-748) | null | expression_3op | (- (- (* n n) n) n) | 3 | in_distribution | {"a": 320, "b": -99, "c": 547, "d": -748} | 7878344789363711900 | sha256:99c5303cce85f91a74859b1282bfb9b29101e6ffaf77a856c9e4d94df4a621cd | 3.0 |
v3_val_00000011 | Compute: 1 * (-9 - 945 - (-5) / (-1) + 97) | [
"Subtract: -9 - 945 = -954",
"Divide: -5 / (-1) = 5",
"Subtract: -954 - 5 = -959",
"Add: -959 + 97 = -862",
"Multiply: 1 * (-862) = -862"
] | -862 | integer | expression | 1 * (-9 - 945 - (-5) / (-1) + 97) | null | expression_5op | (* n (+ (- (- n n) (/ n n)) n)) | 5 | in_distribution | {"a": 1, "b": -9, "c": 945, "d": -5, "e": -1, "f": 97} | 11183194434209513420 | sha256:646ac4376d9effc5b08d76823c82c66b91092f4ad3a29f6c08ccc99a8e4fa5ef | 3.0 |
v3_val_00000012 | Evaluate: -54 * (-750 - (-8)) | [
"Subtract: -750 - (-8) = -742",
"Multiply: -54 * (-742) = 40068"
] | 40068 | integer | expression | -54 * (-750 - (-8)) | null | expression_2op | (* n (- n n)) | 2 | in_distribution | {"a": -54, "b": -750, "c": -8} | 13675459030962623985 | sha256:0eb88b84422713305eaa57653d38947bd7ea06746daf1d040cabaa9107229b97 | 3.0 |
v3_val_00000013 | Calculate: 914 / (28 * 65) + 9 | [
"Multiply: 28 * 65 = 1820",
"Divide: 914 / 1820 = 457/910",
"Add: 457/910 + 9 = 8647/910"
] | 8647/910 | rational | expression | 914 / (28 * 65) + 9 | null | expression_3op | (+ (/ n (* n n)) n) | 3 | in_distribution | {"a": 914, "b": 28, "c": 65, "d": 9} | 17891353502332158439 | sha256:d5ed84060122540de6080fe7b2648310cf2a27dede7261c930f07902f410386d | 3.0 |
v3_val_00000014 | What is 7 - (-74) - 0 / 964? | [
"Subtract: 7 - (-74) = 81",
"Divide: 0 / 964 = 0",
"Subtract: 81 - 0 = 81"
] | 81 | integer | expression | 7 - (-74) - 0 / 964 | null | expression_3op | (- (- n n) (/ n n)) | 3 | in_distribution | {"a": 7, "b": -74, "c": 0, "d": 964} | 11099989865078526559 | sha256:771414f214cb230132d652851e897ec77272fd03c68889f28330ef1773bb8c70 | 3.0 |
v3_val_00000015 | Compute: 788 + 7 / (-15) - (-7) - 963 | [
"Divide: 7 / (-15) = -7/15",
"Add: 788 + (-7/15) = 11813/15",
"Subtract: 11813/15 - (-7) = 11918/15",
"Subtract: 11918/15 - 963 = -2527/15"
] | -2527/15 | rational | expression | 788 + 7 / (-15) - (-7) - 963 | null | expression_4op | (- (- (+ n (/ n n)) n) n) | 4 | in_distribution | {"a": 788, "b": 7, "c": -15, "d": -7, "e": 963} | 8168730471364460070 | sha256:53e108f13e731528f4731605a174d1e41e6e54f1bf3b284cdea96bf9dbfc7811 | 3.0 |
v3_val_00000016 | Calculate: 29 / (3 + 721) | [
"Add: 3 + 721 = 724",
"Divide: 29 / 724 = 29/724"
] | 29/724 | rational | expression | 29 / (3 + 721) | null | expression_2op | (/ n (+ n n)) | 2 | in_distribution | {"a": 29, "b": 3, "c": 721} | 3832140762567995733 | sha256:027fde4b54fef279846b0aad26c0b13a23bf37186f3169021108ae1aeec19a83 | 3.0 |
v3_val_00000017 | What is (91 + (-8 - (76 - (-2)))) / (-156 * (-7))? | [
"Subtract: 76 - (-2) = 78",
"Subtract: -8 - 78 = -86",
"Add: 91 + (-86) = 5",
"Multiply: -156 * (-7) = 1092",
"Divide: 5 / 1092 = 5/1092"
] | 5/1092 | rational | expression | (91 + (-8 - (76 - (-2)))) / (-156 * (-7)) | null | expression_5op | (/ (+ n (- n (- n n))) (* n n)) | 5 | in_distribution | {"a": 91, "b": -8, "c": 76, "d": -2, "e": -156, "f": -7} | 1154376287311733244 | sha256:d89e6f42bec090d64d6a9d93fd249ec8be38e04391e69d0a5b95de84dc5b735f | 3.0 |
v3_val_00000018 | Evaluate: 62 - (57 + 631) | [
"Add: 57 + 631 = 688",
"Subtract: 62 - 688 = -626"
] | -626 | integer | expression | 62 - (57 + 631) | null | expression_2op | (- n (+ n n)) | 2 | in_distribution | {"a": 62, "b": 57, "c": 631} | 13599715228391808483 | sha256:621b84e804e27e301d9fddf2caf5d39be5dd6eeb66372376a1222bb345bbd771 | 3.0 |
v3_val_00000019 | What value of x satisfies -2(x + 29) = x - 10? | [
"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"
] | -16 | integer | linear_equation | -2(x + 29) = x - 10 | x | linear_equation | k(x+b)=x-c | 4 | in_distribution | {"a": -2, "b": 29, "d": -10, "x": -16} | 4477862227829566644 | sha256:6ab6e98b4ff8f4710b98ac83e0dc03ec349269711d3c7f2f755906f4bf7ffbb1 | 3.0 |
v3_val_00000020 | What value of x satisfies 4x - 112 = 12x? | [
"Subtract 12x from both sides: -8x - 112 = 0",
"Add 112 to both sides: -8x = 112",
"Divide both sides by -8: x = -14"
] | -14 | integer | linear_equation | 4x - 112 = 12x | x | linear_equation | kx-c=kx | 3 | in_distribution | {"a": 4, "b": 12, "d": -112, "x": -14} | 11939370945392365155 | sha256:4a15f44badc2c4b6c652d4ef3a47f28b1c1d7a398e981eff81d3a3f439b18e42 | 3.0 |
v3_val_00000021 | What value of x satisfies 8x + 5 = x - 9? | [
"Subtract x from both sides: 7x + 5 = -9",
"Subtract 5 from both sides: 7x = -14",
"Divide both sides by 7: x = -2"
] | -2 | integer | linear_equation | 8x + 5 = x - 9 | x | linear_equation | kx+c=x-c | 4 | in_distribution | {"a": 8, "b": 5, "d": -9, "x": -2} | 2366510153303870949 | sha256:94a5a47cc3474d02f254d3fdc58db314eb4a75c3b84b3b9fd400c4887aaa6cab | 3.0 |
v3_val_00000022 | What value of x satisfies 10(x + 3) + 86 = 2x + 987? | [
"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"
] | 871/8 | rational | linear_equation | 10(x + 3) + 86 = 2x + 987 | x | linear_equation | k(x+b)+c=kx+c | 5 | in_distribution | {"a": 10, "b": 3, "c": 86, "d": 2, "e": 987} | 17718188757436356963 | sha256:131979a068d00f5992f2ae47fe3323d9dfbef5c10491b7cb0af5b3d9e90cc954 | 3.0 |
v3_val_00000023 | Calculate: -721 * 37 - (954 - 32) | [
"Multiply: -721 * 37 = -26677",
"Subtract: 954 - 32 = 922",
"Subtract: -26677 - 922 = -27599"
] | -27599 | integer | expression | -721 * 37 - (954 - 32) | null | expression_3op | (- (* n n) (- n n)) | 3 | in_distribution | {"a": -721, "b": 37, "c": 954, "d": 32} | 13525303165058327157 | sha256:90ff76b32d2a5a1d7e0912a041b12cba43f222c227519ae37a7108e18cd22ec4 | 3.0 |
v3_val_00000024 | Calculate: (660 + 8) * (-62) | [
"Add: 660 + 8 = 668",
"Multiply: 668 * (-62) = -41416"
] | -41416 | integer | expression | (660 + 8) * (-62) | null | expression_2op | (* (+ n n) n) | 2 | in_distribution | {"a": 660, "b": 8, "c": -62} | 16904742989795990970 | sha256:0ea8b02460e959fdc7d1f0685f61f4123b39feddfb122369d887426e21df73f2 | 3.0 |
v3_val_00000025 | Solve the equation x = 4(x - 7) - 58 for x. | [
"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"
] | 86/3 | rational | linear_equation | x = 4(x - 7) - 58 | x | linear_equation | x=k(x-b)-c | 3 | in_distribution | {"a": 4, "b": 7, "c": 58} | 13637285490470136610 | sha256:5e203c4324832d98c21885dd883dd0e31fba94fe84f62cbbb27e799965ee3213 | 3.0 |
v3_val_00000026 | Evaluate: 2 / 5 / (-6) | [
"Divide: 2 / 5 = 2/5",
"Divide: (2/5) / (-6) = -1/15"
] | -1/15 | rational | expression | 2 / 5 / (-6) | null | expression_2op | (/ (/ n n) n) | 2 | in_distribution | {"a": 2, "b": 5, "c": -6} | 1016574424405352417 | sha256:c41c8533b22acc7eb80f331d5209518f1fe4582fe1e2464847280414e37da3dc | 3.0 |
v3_val_00000027 | Find x: x + 487 = 12(x + 23) + 299 | [
"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"
] | -8 | integer | linear_equation | x + 487 = 12(x + 23) + 299 | x | linear_equation | x+c=k(x+b)+c | 4 | in_distribution | {"a": 487, "b": 12, "c": 23, "e": 299, "x": -8} | 7246220415693374017 | sha256:15a9ca0fdec9e8ec8743edf97e01b17ac9392a4a76da5e7c57fe0a1f412b7c78 | 3.0 |
v3_val_00000028 | Evaluate: 0 * (-392) + 6 | [
"Multiply: 0 * (-392) = 0",
"Add: 0 + 6 = 6"
] | 6 | integer | expression | 0 * (-392) + 6 | null | expression_2op | (+ (* n n) n) | 2 | in_distribution | {"a": 0, "b": -392, "c": 6} | 12144517566867614309 | sha256:afbbadfa011411a92c93e9dde6b391714497dc70664727a27e51125407326512 | 3.0 |
v3_val_00000029 | Solve for x: x - 89 = 7(x + 28) - 393 | [
"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"
] | 18 | integer | linear_equation | x - 89 = 7(x + 28) - 393 | x | linear_equation | x-c=k(x+b)-c | 4 | in_distribution | {"a": 89, "b": 7, "c": 28, "e": -393, "x": 18} | 6106925069109160368 | sha256:90a6ab8b3086e9f34f70e46314eb97d60d3486d0db16acb6dbb12380e328d34c | 3.0 |
v3_val_00000030 | Compute: -2 - (-7) + 71 | [
"Subtract: -2 - (-7) = 5",
"Add: 5 + 71 = 76"
] | 76 | integer | expression | -2 - (-7) + 71 | null | expression_2op | (+ (- n n) n) | 2 | in_distribution | {"a": -2, "b": -7, "c": 71} | 7902170853353810857 | sha256:5652dae32a9d96c9bfa6392cb5ad518913ba03709e55e5e4d5ac0806ec33d50c | 3.0 |
v3_val_00000031 | Solve for x: x + 4 = 7(x - 5) | [
"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"
] | 13/2 | rational | linear_equation | x + 4 = 7(x - 5) | x | linear_equation | x+c=k(x-b) | 3 | in_distribution | {"a": 4, "b": 7, "c": 5} | 12644584709509543194 | sha256:a3ecab2d2e32be426e4f5392dc3c6945d1dd2870c233b98210dfd0fa221706fd | 3.0 |
v3_val_00000032 | Compute: -55 - (-38) - 45 * 220 | [
"Subtract: -55 - (-38) = -17",
"Multiply: 45 * 220 = 9900",
"Subtract: -17 - 9900 = -9917"
] | -9917 | integer | expression | -55 - (-38) - 45 * 220 | null | expression_3op | (- (- n n) (* n n)) | 3 | in_distribution | {"a": -55, "b": -38, "c": 45, "d": 220} | 2001883713347760686 | sha256:107bf69ea514327ff126350d7e1c31e95c75bdafe98b103696b0f89328079b3e | 3.0 |
v3_val_00000033 | Calculate: 489 - 3 + (-38 + (-546)) | [
"Subtract: 489 - 3 = 486",
"Add: -38 + (-546) = -584",
"Add: 486 + (-584) = -98"
] | -98 | integer | expression | 489 - 3 + (-38 + (-546)) | null | expression_3op | (+ (- n n) (+ n n)) | 3 | in_distribution | {"a": 489, "b": 3, "c": -38, "d": -546} | 14397623979815170161 | sha256:2891171599c38165e4b9c7e82a97802a50e7241c684bf4566c91425b7e5c94c5 | 3.0 |
v3_val_00000034 | Find x: 2(x + 98) + 17 = 4x + 245 | [
"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"
] | -16 | integer | linear_equation | 2(x + 98) + 17 = 4x + 245 | x | linear_equation | k(x+b)+c=kx+c | 5 | in_distribution | {"a": 2, "b": 98, "c": 17, "d": 4, "f": 245, "x": -16} | 3657066481328007336 | sha256:e90c9f50fa80c40a44e6f65de3d44f1a34a05abfa49169029b3d7038eb935ba9 | 3.0 |
v3_val_00000035 | Solve the equation 2(x - 9) = 5(x + 80) + 55 for x. | [
"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"
] | -473/3 | rational | linear_equation | 2(x - 9) = 5(x + 80) + 55 | x | linear_equation | k(x-b)=k(x+b)+c | 5 | in_distribution | {"a": 2, "b": 9, "c": 5, "d": 80, "e": 55} | 4679033371419239391 | sha256:4870555475309ae22a29d60a08f15bc0e8f124ad6d2f7be0f997b408425e2a9f | 3.0 |
v3_val_00000036 | Find x: x = 9x - 50 | [
"Subtract 9x from both sides: -8x = -50",
"Divide both sides by -8: x = 25/4"
] | 25/4 | rational | linear_equation | x = 9x - 50 | x | linear_equation | x=kx-c | 2 | in_distribution | {"a": 9, "b": 50} | 4185725738787141288 | sha256:db854e26622585fef0877afa71d81c706945d1975621b4ea7521ae4ecd5015bb | 3.0 |
v3_val_00000037 | What is -8 / (-6)? | [
"Divide: -8 / (-6) = 4/3"
] | 4/3 | rational | expression | -8 / (-6) | null | expression_1op | (/ n n) | 2 | in_distribution | {"a": -8, "b": -6} | 15214321260536168350 | sha256:89224908083159ed4a2a82397d60a439978a8c2f81ad8218c756a56f60dece38 | 3.0 |
v3_val_00000038 | What value of x satisfies 7x - 258 = -11(x + 922)? | [
"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"
] | -4942/9 | rational | linear_equation | 7x - 258 = -11(x + 922) | x | linear_equation | kx-c=k(x+b) | 4 | in_distribution | {"a": 7, "b": 258, "c": -11, "d": 922} | 10272921966484676797 | sha256:386331f3d85402cfd3d9af6a34c73e4abba88fe98fa5128aafdb7c39219310e0 | 3.0 |
v3_val_00000039 | Calculate: 0 / (-343) | [
"Divide: 0 / (-343) = 0"
] | 0 | integer | expression | 0 / (-343) | null | expression_1op | (/ n n) | 2 | in_distribution | {"a": 0, "b": -343} | 6431712559714503291 | sha256:bcb93287739085b368a25275affd5778d4734fe5c0d4546ea627c5c8512d05bd | 3.0 |
v3_val_00000040 | What is 646 * (31 / (-97)) / 52? | [
"Divide: 31 / (-97) = -31/97",
"Multiply: 646 * (-31/97) = -20026/97",
"Divide: (-20026/97) / 52 = -10013/2522"
] | -10013/2522 | rational | expression | 646 * (31 / (-97)) / 52 | null | expression_3op | (/ (* n (/ n n)) n) | 3 | in_distribution | {"a": 646, "b": 31, "c": -97, "d": 52} | 16384514390769777862 | sha256:9628292dc331ec2f60e141cbcf9e6264b9a638bd7f42e2c8c4f06212a1a1de69 | 3.0 |
v3_val_00000041 | Calculate: 2 / (-351) | [
"Divide: 2 / (-351) = -2/351"
] | -2/351 | rational | expression | 2 / (-351) | null | expression_1op | (/ n n) | 2 | in_distribution | {"a": 2, "b": -351} | 11215172818722407822 | sha256:68fb443a8f8c1f654d882c8ec463e7c31c43235bcaa053134557d7e98e19633e | 3.0 |
v3_val_00000042 | Compute: 563 * (8 + (-48) - 3) | [
"Add: 8 + (-48) = -40",
"Subtract: -40 - 3 = -43",
"Multiply: 563 * (-43) = -24209"
] | -24209 | integer | expression | 563 * (8 + (-48) - 3) | null | expression_3op | (* n (- (+ n n) n)) | 3 | in_distribution | {"a": 563, "b": 8, "c": -48, "d": 3} | 9016389613578616598 | sha256:8c317271eb5de0381fe51d3aa4097294c95cf747f2173110a92cf94b0f3d0ff0 | 3.0 |
v3_val_00000043 | Solve the equation 8(x + 580) = -7x for x. | [
"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"
] | -928/3 | rational | linear_equation | 8(x + 580) = -7x | x | linear_equation | k(x+b)=kx | 3 | in_distribution | {"a": 8, "b": 580, "c": -7} | 3974047282652152302 | sha256:d4e91eaed61731bbe27b1291822b25134ab1fa863e9ffa073e6b80420cbdf116 | 3.0 |
v3_val_00000044 | Compute: 21 - 6 | [
"Subtract: 21 - 6 = 15"
] | 15 | integer | expression | 21 - 6 | null | expression_1op | (- n n) | 1 | in_distribution | {"a": 21, "b": 6} | 5024187487616936989 | sha256:afd675b577d2f4901357e19df071854570f3720fa8380d7b62158d46cf67e477 | 3.0 |
v3_val_00000045 | Calculate: -67 - (-960) | [
"Subtract: -67 - (-960) = 893"
] | 893 | integer | expression | -67 - (-960) | null | expression_1op | (- n n) | 1 | in_distribution | {"a": -67, "b": -960} | 17031356175717651819 | sha256:d87c906606992c6d3c41ae8a3ca3228a4d8fc833786d07e35a93e3418f287c84 | 3.0 |
v3_val_00000046 | Find x: x - 160 = -9x | [
"Add 9x to both sides: 10x - 160 = 0",
"Add 160 to both sides: 10x = 160",
"Divide both sides by 10: x = 16"
] | 16 | integer | linear_equation | x - 160 = -9x | x | linear_equation | x-c=kx | 2 | in_distribution | {"a": -9, "c": -160, "x": 16} | 12217679716907486260 | sha256:68aa8a29cb54b4581fa534011f49d24d3186e01a4b0c5fb924092d39097efab8 | 3.0 |
v3_val_00000047 | Compute: 82 / (505 / (-36) * (-8) + (-40)) | [
"Divide: 505 / (-36) = -505/36",
"Multiply: (-505/36) * (-8) = 1010/9",
"Add: 1010/9 + (-40) = 650/9",
"Divide: 82 / (650/9) = 369/325"
] | 369/325 | rational | expression | 82 / (505 / (-36) * (-8) + (-40)) | null | expression_4op | (/ n (+ (* (/ n n) n) n)) | 4 | in_distribution | {"a": 82, "b": 505, "c": -36, "d": -8, "e": -40} | 14535363018305364077 | sha256:8364390dcffe710b19ed2cb6c08ade8c8dec6253c1eb8c3b97a399a0c863301c | 3.0 |
v3_val_00000048 | Calculate: (51 - 1) * (3 - 0 + 7) | [
"Subtract: 51 - 1 = 50",
"Subtract: 3 - 0 = 3",
"Add: 3 + 7 = 10",
"Multiply: 50 * 10 = 500"
] | 500 | integer | expression | (51 - 1) * (3 - 0 + 7) | null | expression_4op | (* (- n n) (+ (- n n) n)) | 4 | in_distribution | {"a": 51, "b": 1, "c": 3, "d": 0, "e": 7} | 3880721595923304392 | sha256:b1e5f8954b195c064a129f908e13975624f7eb1ca847b585f8c19cbc425b9714 | 3.0 |
v3_val_00000049 | What value of x satisfies x - 785 = -5(x - 3) - 860? | [
"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"
] | -10 | integer | linear_equation | x - 785 = -5(x - 3) - 860 | x | linear_equation | x-c=k(x-b)-c | 4 | in_distribution | {"a": 785, "b": -5, "c": 3, "e": -860, "x": -10} | 16305810294688784846 | sha256:c1e08df5f74f314400bbd18f56b5dd5abda0985773044b812657ed6121494c78 | 3.0 |
v3_val_00000050 | Evaluate: (7 - (-55)) * (7 - 7 + 8 * 606) | [
"Subtract: 7 - (-55) = 62",
"Subtract: 7 - 7 = 0",
"Multiply: 8 * 606 = 4848",
"Add: 0 + 4848 = 4848",
"Multiply: 62 * 4848 = 300576"
] | 300576 | integer | expression | (7 - (-55)) * (7 - 7 + 8 * 606) | null | expression_5op | (* (- n n) (+ (- n n) (* n n))) | 5 | in_distribution | {"a": 7, "b": -55, "c": 7, "d": 7, "e": 8, "f": 606} | 1882183339967535022 | sha256:0941c1e49b126fa4a3fd82afbdd4eabde7ad1f13bf162ca2367e278c6badf1b3 | 3.0 |
v3_val_00000051 | Solve for x: x - 33 = -12(x + 19) + 390 | [
"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"
] | 15 | integer | linear_equation | x - 33 = -12(x + 19) + 390 | x | linear_equation | x-c=k(x+b)+c | 4 | in_distribution | {"a": 33, "b": -12, "c": 19, "e": 390, "x": 15} | 10163217766444398694 | sha256:df79b58dc9f26e92fb31ebd6b6ee831e1d62c7f4801b7a36a5bcd6a5db41f659 | 3.0 |
v3_val_00000052 | Evaluate: -82 + (-55) * 4 | [
"Multiply: -55 * 4 = -220",
"Add: -82 + (-220) = -302"
] | -302 | integer | expression | -82 + (-55) * 4 | null | expression_2op | (+ n (* n n)) | 2 | in_distribution | {"a": -82, "b": -55, "c": 4} | 11592822321148920172 | sha256:f482e61834f2c005869b655945b95ec8d9dfc1f7acb061a5745b60c210705659 | 3.0 |
v3_val_00000053 | Calculate: (41 - 2) * 920 | [
"Subtract: 41 - 2 = 39",
"Multiply: 39 * 920 = 35880"
] | 35880 | integer | expression | (41 - 2) * 920 | null | expression_2op | (* (- n n) n) | 2 | in_distribution | {"a": 41, "b": 2, "c": 920} | 7205489554289371303 | sha256:55c488261028bb7a25a60c89f03941443e8dc9bc2c8d3aedf1f62978ebb06242 | 3.0 |
v3_val_00000054 | Calculate: 24 + 42 * (0 + (-8)) | [
"Add: 0 + (-8) = -8",
"Multiply: 42 * (-8) = -336",
"Add: 24 + (-336) = -312"
] | -312 | integer | expression | 24 + 42 * (0 + (-8)) | null | expression_3op | (+ n (* n (+ n n))) | 3 | in_distribution | {"a": 24, "b": 42, "c": 0, "d": -8} | 9607146436412108577 | sha256:76af6b3b7309f96ef8b189fd9ee667674f9eca646cab1e876082982233295ae6 | 3.0 |
v3_val_00000055 | Compute: -239 + 6 * (-17) - 683 | [
"Multiply: 6 * (-17) = -102",
"Add: -239 + (-102) = -341",
"Subtract: -341 - 683 = -1024"
] | -1024 | integer | expression | -239 + 6 * (-17) - 683 | null | expression_3op | (- (+ n (* n n)) n) | 3 | in_distribution | {"a": -239, "b": 6, "c": -17, "d": 683} | 11585647903357727942 | sha256:e4d57648bdb81eaaa6e9ea44f44a4c549fd3ac8823990fe394b32f61d30f8168 | 3.0 |
v3_val_00000056 | Calculate: -8 * (84 - 673 / 5) + 149 / 378 | [
"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"
] | 765817/1890 | rational | expression | -8 * (84 - 673 / 5) + 149 / 378 | null | expression_5op | (+ (* n (- n (/ n n))) (/ n n)) | 5 | in_distribution | {"a": -8, "b": 84, "c": 673, "d": 5, "e": 149, "f": 378} | 3156434757290820448 | sha256:77d0947ca939d71d8db8417d16ddeee689e9a63d5814887a0c9604b773e300ea | 3.0 |
v3_val_00000057 | Calculate: 3 * 933 | [
"Multiply: 3 * 933 = 2799"
] | 2799 | integer | expression | 3 * 933 | null | expression_1op | (* n n) | 1 | in_distribution | {"a": 3, "b": 933} | 12532038457468028577 | sha256:8e56fc1b11dfdca4ca53fea7521e5ecf6cab53511e69466670f3c59a665e8c40 | 3.0 |
v3_val_00000058 | Solve for x: -6(x - 809) = 8(x + 870) - 20 | [
"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"
] | -149 | integer | linear_equation | -6(x - 809) = 8(x + 870) - 20 | x | linear_equation | k(x-b)=k(x+b)-c | 5 | in_distribution | {"a": -6, "b": 809, "c": 8, "d": 870, "e": 20} | 5116474253391124730 | sha256:0824f50de9f0cb788411f048cd06a9bcbf86430fe489b7c0ef60961245352bd3 | 3.0 |
v3_val_00000059 | Solve for x: x - 66 = -10x | [
"Add 10x to both sides: 11x - 66 = 0",
"Add 66 to both sides: 11x = 66",
"Divide both sides by 11: x = 6"
] | 6 | integer | linear_equation | x - 66 = -10x | x | linear_equation | x-c=kx | 2 | in_distribution | {"a": -10, "c": -66, "x": 6} | 15245171234127282640 | sha256:663230a7f5cc81a7d0f80f7b64cf2820a4d1bf906bffe62e66138e8e9405887a | 3.0 |
v3_val_00000060 | Compute: (-408 - (-91)) / (-48) | [
"Subtract: -408 - (-91) = -317",
"Divide: -317 / (-48) = 317/48"
] | 317/48 | rational | expression | (-408 - (-91)) / (-48) | null | expression_2op | (/ (- n n) n) | 2 | in_distribution | {"a": -408, "b": -91, "c": -48} | 18390067040856400227 | sha256:6ea662a5d02abcc3def7a2c5874d5889554d43cfc06188ab55baad9221869e9d | 3.0 |
v3_val_00000061 | Solve for x: x = -10(x - 4) + 4 | [
"Expand: x = -10x + 40 + 4",
"Combine constants: x = -10x + 44",
"Add 10x to both sides: 11x = 44",
"Divide both sides by 11: x = 4"
] | 4 | integer | linear_equation | x = -10(x - 4) + 4 | x | linear_equation | x=k(x-b)+c | 3 | in_distribution | {"a": -10, "b": 4, "d": 4, "x": 4} | 8183912418400635543 | sha256:ad1c544f5fefbb17be3b966742d0ccbbcc50f666ec674ff22d10099dccc29593 | 3.0 |
v3_val_00000062 | Find x: x + 662 = 8x + 564 | [
"Subtract 8x from both sides: -7x + 662 = 564",
"Subtract 662 from both sides: -7x = -98",
"Divide both sides by -7: x = 14"
] | 14 | integer | linear_equation | x + 662 = 8x + 564 | x | linear_equation | x+c=kx+c | 3 | in_distribution | {"a": 662, "b": 8, "d": 564, "x": 14} | 14750846297030011008 | sha256:aab3d61876dac215b07607a273d26062d6350cad5e7054c54e6fc3e07978ccbf | 3.0 |
v3_val_00000063 | Evaluate: -67 * (333 * 39) | [
"Multiply: 333 * 39 = 12987",
"Multiply: -67 * 12987 = -870129"
] | -870129 | integer | expression | -67 * (333 * 39) | null | expression_2op | (* n (* n n)) | 2 | in_distribution | {"a": -67, "b": 333, "c": 39} | 654638610960615951 | sha256:7830ef31a94c040fa1855dbe82f3512cfb79a24438676995f5bffed917d13e13 | 3.0 |
v3_val_00000064 | Compute: 446 / (-64) | [
"Divide: 446 / (-64) = -223/32"
] | -223/32 | rational | expression | 446 / (-64) | null | expression_1op | (/ n n) | 2 | in_distribution | {"a": 446, "b": -64} | 13814073379537588589 | sha256:ed235e9215e6db6ec8049a58e5822fe992e8c4e9f90b5b5ed13eecbea2b3bc22 | 3.0 |
v3_val_00000065 | What is -1 * (-82 / 41)? | [
"Divide: -82 / 41 = -2",
"Multiply: -1 * (-2) = 2"
] | 2 | integer | expression | -1 * (-82 / 41) | null | expression_2op | (* n (/ n n)) | 2 | in_distribution | {"a": -1, "b": -82, "c": 41} | 8481439613386517549 | sha256:a1be119c80d2e74463eff6f0cfbd1ed466a39815e3b94694292f5879326dc652 | 3.0 |
v3_val_00000066 | Solve the equation x + 209 = 12x for x. | [
"Subtract 12x from both sides: -11x + 209 = 0",
"Subtract 209 from both sides: -11x = -209",
"Divide both sides by -11: x = 19"
] | 19 | integer | linear_equation | x + 209 = 12x | x | linear_equation | x+c=kx | 2 | in_distribution | {"a": 12, "c": 209, "x": 19} | 9161919329610429837 | sha256:f6b52b94a16cd74ccdd0d2fe849ad2c6c6af2adda577e1fc7459907accba75be | 3.0 |
v3_val_00000067 | Evaluate: (-7 - (-860)) / 71 | [
"Subtract: -7 - (-860) = 853",
"Divide: 853 / 71 = 853/71"
] | 853/71 | rational | expression | (-7 - (-860)) / 71 | null | expression_2op | (/ (- n n) n) | 2 | in_distribution | {"a": -7, "b": -860, "c": 71} | 11647519345058716194 | sha256:832547c62883d115ef57a9820fb3294016a442140ad6ed4cc0c4ee848346fa34 | 3.0 |
v3_val_00000068 | Calculate: (-3 + (-35)) / 82 + (905 + (62 - (-2))) | [
"Add: -3 + (-35) = -38",
"Divide: -38 / 82 = -19/41",
"Subtract: 62 - (-2) = 64",
"Add: 905 + 64 = 969",
"Add: -19/41 + 969 = 39710/41"
] | 39710/41 | rational | expression | (-3 + (-35)) / 82 + (905 + (62 - (-2))) | null | expression_5op | (+ (/ (+ n n) n) (+ n (- n n))) | 5 | in_distribution | {"a": -3, "b": -35, "c": 82, "d": 905, "e": 62, "f": -2} | 14860623075036737393 | sha256:54cf9a5ecbdeb82d30bf0d4f3b68f4c7e7def4e517c727c4ace21c2429d68e92 | 3.0 |
v3_val_00000069 | Solve for x: -3x = 4x + 140 | [
"Subtract 4x from both sides: -7x = 140",
"Divide both sides by -7: x = -20"
] | -20 | integer | linear_equation | -3x = 4x + 140 | x | linear_equation | kx=kx+c | 3 | in_distribution | {"a": -3, "b": 4, "d": 140, "x": -20} | 10123242909259710916 | sha256:3bd9a853cea5ef360061a97501438f2a213f9ad8f763837f4d0fa6d53c3272b0 | 3.0 |
v3_val_00000070 | What is 57 - (-286 + 957)? | [
"Add: -286 + 957 = 671",
"Subtract: 57 - 671 = -614"
] | -614 | integer | expression | 57 - (-286 + 957) | null | expression_2op | (- n (+ n n)) | 2 | in_distribution | {"a": 57, "b": -286, "c": 957} | 5614958798165999675 | sha256:3f40dc6779a4e0b8ef0eb03c66beac6c353c34da8818853fa33b2117c53b58c0 | 3.0 |
v3_val_00000071 | Solve for x: 10(x + 31) - 766 = 3x + 81 | [
"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"
] | 537/7 | rational | linear_equation | 10(x + 31) - 766 = 3x + 81 | x | linear_equation | k(x+b)-c=kx+c | 5 | in_distribution | {"a": 10, "b": 31, "c": 766, "d": 3, "e": 81} | 382006308746159438 | sha256:772c96f69addc9d51b8ccf20341557335556a8a5cd083d9a0733de85379ba694 | 3.0 |
v3_val_00000072 | Solve for x: x + 38 = -11x + 38 | [
"Add 11x to both sides: 12x + 38 = 38",
"Subtract 38 from both sides: 12x = 0",
"Divide both sides by 12: x = 0"
] | 0 | integer | linear_equation | x + 38 = -11x + 38 | x | linear_equation | x+c=kx+c | 3 | in_distribution | {"a": 38, "b": -11, "d": 38, "x": 0} | 14902597368842083057 | sha256:5005e02a4bed8db24363e5774b76ecfce432c63db0df8811bcdde80ff1c25fdf | 3.0 |
v3_val_00000073 | What is 5 / (210 - 954) / 9? | [
"Subtract: 210 - 954 = -744",
"Divide: 5 / (-744) = -5/744",
"Divide: (-5/744) / 9 = -5/6696"
] | -5/6696 | rational | expression | 5 / (210 - 954) / 9 | null | expression_3op | (/ (/ n (- n n)) n) | 3 | in_distribution | {"a": 5, "b": 210, "c": 954, "d": 9} | 12870142268307598264 | sha256:f26f819241f7fb92254d68b16b5951ee33d6bf5663d7c791fd1877c1c8d0e5d6 | 3.0 |
v3_val_00000074 | Evaluate: 6 / (-9) - 389 / (1 + 49) | [
"Divide: 6 / (-9) = -2/3",
"Add: 1 + 49 = 50",
"Divide: 389 / 50 = 389/50",
"Subtract: -2/3 - 389/50 = -1267/150"
] | -1267/150 | rational | expression | 6 / (-9) - 389 / (1 + 49) | null | expression_4op | (- (/ n n) (/ n (+ n n))) | 4 | in_distribution | {"a": 6, "b": -9, "c": 389, "d": 1, "e": 49} | 2311087242152056330 | sha256:7993a06a5424fb5a5fc7d8eac91f1885edbb029c9a3aa6243c31169086351965 | 3.0 |
v3_val_00000075 | Evaluate: -2 + (-450) / (-7) / (-64) + 4 | [
"Divide: -450 / (-7) = 450/7",
"Divide: (450/7) / (-64) = -225/224",
"Add: -2 + (-225/224) = -673/224",
"Add: -673/224 + 4 = 223/224"
] | 223/224 | rational | expression | -2 + (-450) / (-7) / (-64) + 4 | null | expression_4op | (+ (+ n (/ (/ n n) n)) n) | 4 | in_distribution | {"a": -2, "b": -450, "c": -7, "d": -64, "e": 4} | 5699132059087575241 | sha256:cd4cf459d904ad4cd7c3f1adf7351eef1f807b876565130b3777366c535c3701 | 3.0 |
v3_val_00000076 | Evaluate: -90 / (-5 - 843) | [
"Subtract: -5 - 843 = -848",
"Divide: -90 / (-848) = 45/424"
] | 45/424 | rational | expression | -90 / (-5 - 843) | null | expression_2op | (/ n (- n n)) | 2 | in_distribution | {"a": -90, "b": -5, "c": 843} | 14341113366976499971 | sha256:6f9e0de2ce85e85f8590a4afaee96a5881720c113088817c338c4d2ad29a0bc4 | 3.0 |
v3_val_00000077 | Solve the equation 10(x - 85) = -8x + 798 for x. | [
"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"
] | 824/9 | rational | linear_equation | 10(x - 85) = -8x + 798 | x | linear_equation | k(x-b)=kx+c | 4 | in_distribution | {"a": 10, "b": 85, "c": -8, "d": 798} | 11711231447028829411 | sha256:fdcff445284aecf284888881d29ea53650d2cae05f2a14f72bda5b2905f551f5 | 3.0 |
v3_val_00000078 | Find x: x - 7 = -7(x - 948) - 5 | [
"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"
] | 3319/4 | rational | linear_equation | x - 7 = -7(x - 948) - 5 | x | linear_equation | x-c=k(x-b)-c | 4 | in_distribution | {"a": 7, "b": -7, "c": 948, "d": 5} | 15183754463824495510 | sha256:f05becdb80da805015625b1a339fcaed8261d5bd0916ea15dda8a89f5dbeec86 | 3.0 |
v3_val_00000079 | Compute: 107 + (-6) | [
"Add: 107 + (-6) = 101"
] | 101 | integer | expression | 107 + (-6) | null | expression_1op | (+ n n) | 1 | in_distribution | {"a": 107, "b": -6} | 3770994243410863522 | sha256:75f59cf26377f368215e3b2553b5bc63576b181da3a869064534d1f3f8ef3cb7 | 3.0 |
v3_val_00000080 | Evaluate: -8 / (-40) | [
"Divide: -8 / (-40) = 1/5"
] | 1/5 | rational | expression | -8 / (-40) | null | expression_1op | (/ n n) | 2 | in_distribution | {"a": -8, "b": -40} | 5817345851554979653 | sha256:1a589e963e4632c5be809eb89a1b1cd6ddd2ed3c659bfbb3b8b8156f22cea250 | 3.0 |
v3_val_00000081 | Calculate: -75 - 98 / 3 | [
"Divide: 98 / 3 = 98/3",
"Subtract: -75 - 98/3 = -323/3"
] | -323/3 | rational | expression | -75 - 98 / 3 | null | expression_2op | (- n (/ n n)) | 2 | in_distribution | {"a": -75, "b": 98, "c": 3} | 9281899864615031461 | sha256:8261dabcfe2fcfc7e5610bb45e54a290a64ca172901af568ff97f8349a6f72f3 | 3.0 |
v3_val_00000082 | What is -55 / 1 * (15 * 92 * 5) + (-47)? | [
"Divide: -55 / 1 = -55",
"Multiply: 15 * 92 = 1380",
"Multiply: 1380 * 5 = 6900",
"Multiply: -55 * 6900 = -379500",
"Add: -379500 + (-47) = -379547"
] | -379547 | integer | expression | -55 / 1 * (15 * 92 * 5) + (-47) | null | expression_5op | (+ (* (/ n n) (* (* n n) n)) n) | 5 | in_distribution | {"a": -55, "b": 1, "c": 15, "d": 92, "e": 5, "f": -47} | 17830144751071168541 | sha256:46043490214343269ff1c43652437b65d457e2e519b9428d35e4e5d684797407 | 3.0 |
v3_val_00000083 | Calculate: -4 * (4 * (303 / (-1))) | [
"Divide: 303 / (-1) = -303",
"Multiply: 4 * (-303) = -1212",
"Multiply: -4 * (-1212) = 4848"
] | 4848 | integer | expression | -4 * (4 * (303 / (-1))) | null | expression_3op | (* n (* n (/ n n))) | 3 | in_distribution | {"a": -4, "b": 4, "c": 303, "d": -1} | 9813325420802964280 | sha256:499af6b8c2f3c6ddc555578b696b56993ebd46ccf3fd4e55b83ad1ff89c52b50 | 3.0 |
v3_val_00000084 | Evaluate: -643 + 0 + (-23) | [
"Add: -643 + 0 = -643",
"Add: -643 + (-23) = -666"
] | -666 | integer | expression | -643 + 0 + (-23) | null | expression_2op | (+ (+ n n) n) | 2 | in_distribution | {"a": -643, "b": 0, "c": -23} | 8710780999285321706 | sha256:087f3c06d336a9c22d1d4f9648ddf35acdcc3544b5c6086cd7d1cd6bdc7c07a2 | 3.0 |
v3_val_00000085 | Find x: -4(x + 2) = 11x - 278 | [
"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"
] | 18 | integer | linear_equation | -4(x + 2) = 11x - 278 | x | linear_equation | k(x+b)=kx-c | 4 | in_distribution | {"a": -4, "b": 2, "c": 11, "e": -278, "x": 18} | 8909143241548989161 | sha256:7df503336b6a54656c47275db221b1033ddcc1ae5dcbe20c882ad3a163f6bf05 | 3.0 |
v3_val_00000086 | Evaluate: 75 * 4 * (2 - (-5)) | [
"Multiply: 75 * 4 = 300",
"Subtract: 2 - (-5) = 7",
"Multiply: 300 * 7 = 2100"
] | 2100 | integer | expression | 75 * 4 * (2 - (-5)) | null | expression_3op | (* (* n n) (- n n)) | 3 | in_distribution | {"a": 75, "b": 4, "c": 2, "d": -5} | 11253207727681186514 | sha256:1c10c4331a3ca815ef15419ef44764e6e6d256dba2b9e7d8b4956c2d32697dcd | 3.0 |
v3_val_00000087 | What value of x satisfies 10(x - 2) = 5(x - 62) + 255? | [
"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"
] | -7 | integer | linear_equation | 10(x - 2) = 5(x - 62) + 255 | x | linear_equation | k(x-b)=k(x-b)+c | 5 | in_distribution | {"a": 10, "b": 2, "c": 5, "d": 62, "f": 255, "x": -7} | 8785181667503780964 | sha256:e7e0aa2c593307542a436569f59195810d4f74d015bcc3ac7c72aace7037895c | 3.0 |
v3_val_00000088 | Find x: -10x - 1 = x + 6 | [
"Subtract x from both sides: -11x - 1 = 6",
"Add 1 to both sides: -11x = 7",
"Divide both sides by -11: x = -7/11"
] | -7/11 | rational | linear_equation | -10x - 1 = x + 6 | x | linear_equation | kx-c=x+c | 4 | in_distribution | {"a": -10, "b": 1, "c": 6} | 4366017981510518409 | sha256:df9d345ac2a078790dfaa197041b1bc44a3b406d192ce1c373406c1a0316a337 | 3.0 |
v3_val_00000089 | What value of x satisfies -9x - 70 = -7(x - 6) + 567? | [
"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"
] | -679/2 | rational | linear_equation | -9x - 70 = -7(x - 6) + 567 | x | linear_equation | kx-c=k(x-b)+c | 5 | in_distribution | {"a": -9, "b": 70, "c": -7, "d": 6, "e": 567} | 10305305739532985652 | sha256:c7018fb7c7cafaf4948007fabba02b0293f2ec94d44c757eca1911a761fa7c9b | 3.0 |
v3_val_00000090 | What is 0 * (3 + 0) / (-9 * 693)? | [
"Add: 3 + 0 = 3",
"Multiply: 0 * 3 = 0",
"Multiply: -9 * 693 = -6237",
"Divide: 0 / (-6237) = 0"
] | 0 | integer | expression | 0 * (3 + 0) / (-9 * 693) | null | expression_4op | (/ (* n (+ n n)) (* n n)) | 4 | in_distribution | {"a": 0, "b": 3, "c": 0, "d": -9, "e": 693} | 10136257484733802245 | sha256:fcbd149b2e877f0a62900afe25904ce65fb1db27db1701fae631cb7637f55889 | 3.0 |
v3_val_00000091 | Evaluate: 2 * (-6) | [
"Multiply: 2 * (-6) = -12"
] | -12 | integer | expression | 2 * (-6) | null | expression_1op | (* n n) | 1 | in_distribution | {"a": 2, "b": -6} | 17218463180091786285 | sha256:43b388976e4831bb26328e4cd278f19a0b77885895f481044f3bd53ddd8b748d | 3.0 |
v3_val_00000092 | What is 441 / 6 * (-30) - 2? | [
"Divide: 441 / 6 = 147/2",
"Multiply: (147/2) * (-30) = -2205",
"Subtract: -2205 - 2 = -2207"
] | -2207 | integer | expression | 441 / 6 * (-30) - 2 | null | expression_3op | (- (* (/ n n) n) n) | 3 | in_distribution | {"a": 441, "b": 6, "c": -30, "d": 2} | 17920808735201854825 | sha256:15665e7ea89d511108958a41e1e885fcd2c26a6625d2e43c93fd6e76adb83127 | 3.0 |
v3_val_00000093 | Calculate: 0 * (-7) - (4 - 391) * (91 / 32) | [
"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"
] | 35217/32 | rational | expression | 0 * (-7) - (4 - 391) * (91 / 32) | null | expression_5op | (- (* n n) (* (- n n) (/ n n))) | 5 | in_distribution | {"a": 0, "b": -7, "c": 4, "d": 391, "e": 91, "f": 32} | 17372596787851536913 | sha256:dbb32823ff8ee74c81b3704369ed29b05ca2766bb6886ee22db8362096b44e07 | 3.0 |
v3_val_00000094 | Find x: 9(x - 23) = x - 335 | [
"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"
] | -16 | integer | linear_equation | 9(x - 23) = x - 335 | x | linear_equation | k(x-b)=x-c | 4 | in_distribution | {"a": 9, "b": 23, "d": -335, "x": -16} | 11527017644575144650 | sha256:7ca6fd3e909aa313a7f0fb372c6ef491902dfde7421227330cb73746faa29f39 | 3.0 |
v3_val_00000095 | Compute: 73 / (-17) | [
"Divide: 73 / (-17) = -73/17"
] | -73/17 | rational | expression | 73 / (-17) | null | expression_1op | (/ n n) | 2 | in_distribution | {"a": 73, "b": -17} | 8006636955755211917 | sha256:d89a720ab4e1b18ee84f3a64245f5c3d808781aa246e5666380aa5f878e4ff46 | 3.0 |
v3_val_00000096 | Calculate: -17 + 85 | [
"Add: -17 + 85 = 68"
] | 68 | integer | expression | -17 + 85 | null | expression_1op | (+ n n) | 1 | in_distribution | {"a": -17, "b": 85} | 15015945871228584768 | sha256:cc0f3bd4cedd88d36d55d5b03f01f5ba9db4c314a80852e1f5b598ea201d22a2 | 3.0 |
v3_val_00000097 | Evaluate: -8 + 879 + (-31) | [
"Add: -8 + 879 = 871",
"Add: 871 + (-31) = 840"
] | 840 | integer | expression | -8 + 879 + (-31) | null | expression_2op | (+ (+ n n) n) | 2 | in_distribution | {"a": -8, "b": 879, "c": -31} | 1393042652567760079 | sha256:8fc859c618ce6f3e64d7bbc1b42257d7b1b52484f78354c90361d9680d2a7666 | 3.0 |
v3_val_00000098 | What is 737 - (-99 + (-486) + 11)? | [
"Add: -99 + (-486) = -585",
"Add: -585 + 11 = -574",
"Subtract: 737 - (-574) = 1311"
] | 1311 | integer | expression | 737 - (-99 + (-486) + 11) | null | expression_3op | (- n (+ (+ n n) n)) | 3 | in_distribution | {"a": 737, "b": -99, "c": -486, "d": 11} | 10453586760368381073 | sha256:025e00a3320e652e6729e6874aa181518cbbd7cffe685d748fa4dd91662fe74d | 3.0 |
v3_val_00000099 | Solve for x: -7x - 78 = -57 | [
"Add 78 to both sides: -7x = 21",
"Divide both sides by -7: x = -3"
] | -3 | integer | linear_equation | -7x - 78 = -57 | x | linear_equation | kx-c=c | 3 | in_distribution | {"a": -7, "b": 78, "d": -57, "x": -3} | 4804498543568514880 | sha256:1e000fb7db094d283456ac9519d8673c45fd20f80637f3092e237d23ce6a8a3b | 3.0 |
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