question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve for x: 7x + -15 = 48
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
What is -144 ÷ 16?
|
Divide evenly.
|
Divide -144 by 16.
|
-9
|
What is 260 ÷ 13?
|
Divide evenly.
|
Divide 260 by 13.
|
20
|
If each item costs 17 dollars and the total cost is 493, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
29
|
What is 28 × -30?
|
Multiply the numbers.
|
Multiply 28 by -30.
|
-840
|
Simplify 117/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
What is -18 × 60?
|
Multiply the numbers.
|
Multiply -18 by 60.
|
-1080
|
Simplify -1/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
What is -99 ÷ -11?
|
Divide evenly.
|
Divide -99 by -11.
|
9
|
What is -143 ÷ -11?
|
Divide evenly.
|
Divide -143 by -11.
|
13
|
What is -172 + -96?
|
Add the two numbers.
|
Add -172 and -96.
|
-268
|
What is 176 ÷ 11?
|
Divide evenly.
|
Divide 176 by 11.
|
16
|
Solve for x: -2(x + -14) = 4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Solve for x: -5x + -15 = -85
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
14
|
Solve for x: 1(x + 11) = 3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
What is 6^2?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 2 times (0th power = 1).
|
36
|
Solve: 3x + 11 ≥ -49
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -20
|
What is 225 + 297?
|
Add the two numbers.
|
Add 225 and 297.
|
522
|
Solve for x: -3(x + -8) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
If each item costs -5 dollars and the total cost is 30, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-6
|
Solve for x: -4x + -7 = -23
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
What is -6^0?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 0 times (0th power = 1).
|
1
|
What is -100 + -97?
|
Add the two numbers.
|
Add -100 and -97.
|
-197
|
What is -31 + -192?
|
Add the two numbers.
|
Add -31 and -192.
|
-223
|
Solve: 8x + 3 ≥ 155
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 19
|
What is 236 - 11?
|
Subtract the second number from the first.
|
Subtract 11 from 236.
|
225
|
What is 319 ÷ 29?
|
Divide evenly.
|
Divide 319 by 29.
|
11
|
What is -312 ÷ -24?
|
Divide evenly.
|
Divide -312 by -24.
|
13
|
What is -26 ÷ 2?
|
Divide evenly.
|
Divide -26 by 2.
|
-13
|
What is -23 - 174?
|
Subtract the second number from the first.
|
Subtract 174 from -23.
|
-197
|
Simplify -99/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
Solve for x: 2(x + -6) = -38
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
What is 71 - 191?
|
Subtract the second number from the first.
|
Subtract 191 from 71.
|
-120
|
What is -201 + 52?
|
Add the two numbers.
|
Add -201 and 52.
|
-149
|
Solve for x: -12x + -5 = 139
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
What is -112 ÷ 7?
|
Divide evenly.
|
Divide -112 by 7.
|
-16
|
What is 8^5?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 5 times (0th power = 1).
|
32768
|
Solve: 2x + -14 ≤ -32
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -9
|
What is 53 × -23?
|
Multiply the numbers.
|
Multiply 53 by -23.
|
-1219
|
Solve: -7x + 7 < -91
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 14
|
If each item costs 7 dollars and the total cost is -7, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-1
|
What is -63 - 61?
|
Subtract the second number from the first.
|
Subtract 61 from -63.
|
-124
|
Solve: 5x + 0 ≤ 80
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 16
|
What is -210 - -161?
|
Subtract the second number from the first.
|
Subtract -161 from -210.
|
-49
|
What is -18 × -29?
|
Multiply the numbers.
|
Multiply -18 by -29.
|
522
|
What is 55 × 60?
|
Multiply the numbers.
|
Multiply 55 by 60.
|
3300
|
Solve for x: 2(x + -11) = -22
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
Simplify 22/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
What is 51 × -30?
|
Multiply the numbers.
|
Multiply 51 by -30.
|
-1530
|
Solve for x: -3(x + 12) = -18
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
What is -188 - 42?
|
Subtract the second number from the first.
|
Subtract 42 from -188.
|
-230
|
If each item costs 12 dollars and the total cost is -204, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-17
|
Simplify 176/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
Solve: 7x + 7 < 49
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 6
|
Solve for x: -7x + 11 = 130
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Solve: -1x + -12 ≤ -6
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -6
|
Solve for x: 7(x + -7) = -154
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
What is 25 × 5?
|
Multiply the numbers.
|
Multiply 25 by 5.
|
125
|
If each item costs 4 dollars and the total cost is -36, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
What is 204 + 244?
|
Add the two numbers.
|
Add 204 and 244.
|
448
|
Simplify 144/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
Solve for x: 7(x + 14) = 133
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
What is -289 + 93?
|
Add the two numbers.
|
Add -289 and 93.
|
-196
|
What is 41 × -4?
|
Multiply the numbers.
|
Multiply 41 by -4.
|
-164
|
Solve: 5x + 20 < 70
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 10
|
Solve: 4x + 19 < 27
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 2
|
If each item costs -3 dollars and the total cost is 30, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-10
|
If each item costs -4 dollars and the total cost is -12, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
3
|
Solve for x: 8x + 21 = 181
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
Simplify 2/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
What is -55 × 36?
|
Multiply the numbers.
|
Multiply -55 by 36.
|
-1980
|
Solve: -3x + 13 ≥ 19
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -2
|
Solve for x: -2(x + -15) = 38
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Solve: -8x + 14 ≤ -42
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 7
|
If each item costs -9 dollars and the total cost is -54, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
If each item costs 19 dollars and the total cost is 437, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
If each item costs 18 dollars and the total cost is 270, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
15
|
Solve: -9x + -8 ≥ 136
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -16
|
Simplify 3/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Solve for x: -4x + -7 = 53
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is 56 × 31?
|
Multiply the numbers.
|
Multiply 56 by 31.
|
1736
|
Solve for x: -10x + 25 = -75
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is 83 - 12?
|
Subtract the second number from the first.
|
Subtract 12 from 83.
|
71
|
If each item costs 5 dollars and the total cost is 40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
8
|
Solve for x: -8x + -4 = -92
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
11
|
What is -7^4?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 4 times (0th power = 1).
|
2401
|
What is -77 ÷ -7?
|
Divide evenly.
|
Divide -77 by -7.
|
11
|
What is 20 × 36?
|
Multiply the numbers.
|
Multiply 20 by 36.
|
720
|
Solve for x: 7(x + -5) = 42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is -1^2?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 2 times (0th power = 1).
|
1
|
Solve for x: -6(x + -9) = 126
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
What is 198 - -67?
|
Subtract the second number from the first.
|
Subtract -67 from 198.
|
265
|
What is 85 ÷ -5?
|
Divide evenly.
|
Divide 85 by -5.
|
-17
|
Solve: -8x + 9 ≥ 121
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -14
|
What is 69 ÷ -23?
|
Divide evenly.
|
Divide 69 by -23.
|
-3
|
What is -94 + -205?
|
Add the two numbers.
|
Add -94 and -205.
|
-299
|
What is 124 + -210?
|
Add the two numbers.
|
Add 124 and -210.
|
-86
|
What is 267 - 86?
|
Subtract the second number from the first.
|
Subtract 86 from 267.
|
181
|
What is 30 + -141?
|
Add the two numbers.
|
Add 30 and -141.
|
-111
|
What is 252 - 182?
|
Subtract the second number from the first.
|
Subtract 182 from 252.
|
70
|
End of preview. Expand
in Data Studio
Large-Scale Mathematic Reasoning-3000000
Built via a python script
Contents
- Addition
- Subtraction
- Multiplication
- Division
- Linear equations
- Fractional equations
- Two step equations
- Algebra word problems Synthetic algebra-heavy math reasoning dataset.
Each row:
- question
- problem
- how_to_solve
- answer
Useage
Licensed under MIT Free to use for everyone ##Notes It is
- Better to use smaller variants of this dataset for finetuning
- Better to use very small variants of this dataset for evaluation
- Better to use large variants of this dataset for pre-training
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