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arpjw
/
microreason-math

Tasks:
Text Generation
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English
Size:
100K - 1M
Tags:
math
arithmetic
algebra
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reasoning
chain-of-thought
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1
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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
End of preview. Expand in Data Studio

MicroReason Math

Synthetic arithmetic and linear-algebra problems with exact answers and canonical step-by-step solutions. They were generated to train and evaluate MicroReason-43M, a small language model trained from scratch.

Generation and checking:

  • Source: every problem comes from a seeded grammar over random expression trees and linear equations.
  • Answers: each answer is verified by an independent exact solver.
  • Steps: every solution step is checked to be correct.

The benchmark splits test generalization to unseen problem structures and to larger numbers than those seen in training.

from datasets import load_dataset

bench = load_dataset("arpjw/microreason-math", "benchmark")   # 6 evaluation splits, 40,000 problems
sft = load_dataset("arpjw/microreason-math", "sft", split="train")   # 100,000 training problems

Examples 

Compute: 93 - (-90) * (-73)
  1. Multiply: -90 * (-73) = 6570
  2. Subtract: 93 - 6570 = -6477
  answer: -6477

Find x: 23x + 7462 = 15(x - 2721)
  1. Expand: 23x + 7462 = 15x - 40815
  2. Subtract 15x from both sides: 8x + 7462 = -40815
  3. Subtract 7462 from both sides: 8x = -48277
  4. Divide both sides by 8: x = -48277/8
  answer: -48277/8

Splits

Config / split Problems Shapes What it measures
benchmark / val 7,000 1,555 In-distribution validation
benchmark / val_heldout_shape 6,000 1,039 Validation on problem structures never seen in training
benchmark / test_id 7,000 1,574 In-distribution test
benchmark / test_heldout_shape 6,000 1,053 Test on unseen structures (3–5 operators and equations)
benchmark / test_extrapolation 7,000 1,214 Test with 4–5 digit numbers (training uses 0–999)
benchmark / test_extrapolation_fresh 7,000 1,209 An independent second extrapolation suite (own seed, frozen separately)
sft / train 100,000 9,407 Supervised fine-tuning problems

Family mix:

  • Expressions: 1–5 operators over + − × ÷. In-distribution splits are about 11% 1-op, 20% 2-op, 16% 3-op, 10% 4-op and 8% 5-op.
  • Equations: linear equations make up about 35% of in-distribution splits.
  • Held-out-shape splits: only 3+ operator structures and equations.

How shapes are held out: a shape is the operator structure of an expression tree, such as (- n (* n n)), or an equation template.

  • Assignment: each shape is hashed into exactly one of train-visible (80%), held-out-val (10%) or held-out-test (10%).
  • Coverage guarantee: every operator and pairing in a held-out shape also appears in a training shape. Held-out problems are new combinations, not new primitives.

Contamination checks:

  • No problem appears in more than one split.
  • Every evaluation problem was checked against the 435 k-document general-text corpus (Cosmopedia) used in pretraining.

Fields

Field Description
id Stable record id
prompt The problem as posed to the model, e.g. Compute: … or Find x: …
solution_steps Canonical worked solution: post-order reductions or fixed equation moves
final_answer Exact answer: an integer, or a reduced fraction like -48277/8
answer_type integer or rational
kind expression or linear_equation
math_text The bare expression or equation
variable x for equations, else null
family expression_1op … expression_5op, linear_equation
shape Structural template (used for held-out splits and cluster bootstrap)
difficulty Integer difficulty level
number_range in_distribution (0–999) or extrapolation (4–5 digits)
params JSON string of the sampled numbers
seed Generator seed (string; a 64-bit unsigned integer)
semantic_fingerprint Hash of the canonical problem, used for de-duplication
generator_version 3.0

Exact original files

data/ holds loader-friendly copies, with seed and params stored as strings. raw/ holds the byte-exact files produced by the generator. Their sha256 hashes match the frozen manifests in the MicroReason repository:

File sha256
raw/benchmark_val.jsonl 4d9b10b32896…
raw/benchmark_val_heldout_shape.jsonl fabbcecef5dd…
raw/benchmark_test_id.jsonl 2085da0f3c2e…
raw/benchmark_test_heldout_shape.jsonl a370443a077d…
raw/benchmark_test_extrapolation.jsonl 28db77f8794d…
raw/benchmark_test_extrapolation_fresh.jsonl 35d481707bd9…
raw/sft_train.jsonl 0020a0e550aa…

How MicroReason-43M scores

Greedy decoding, show-work prompt, exact final answer:

Model test_id test_heldout_shape test_extrapolation test_extrapolation_fresh
sft-long 87.1% 81.4% 10.2% 9.5%
grpo 87.8% 82.0% 10.1% 9.3%
extra-sft 88.8% 83.1% 7.8% 7.4%

Not included

The larger training pools used for pretraining, mid-training, long SFT and RL are not included: 6 M + 5 M + 4 M records. They come from the same generator and are rebuilt deterministically from their seeds.

Notes

  • Prompt conventions: in MicroReason the show-work prompt appends Show your work. to prompt. Solutions are rendered as numbered lines inside [steps] … [/steps], followed by [answer]…[/answer].
  • Purpose: these are synthetic problems for studying small-model reasoning and generalization. They are not representative of natural-language math word problems.
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Number of rows:
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Total file size:
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Models trained or fine-tuned on arpjw/microreason-math