question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve for x: 2(x + 0) = -22
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
What is 45 × -18?
|
Multiply the numbers.
|
Multiply 45 by -18.
|
-810
|
Solve for x: 11x + -19 = -217
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
Solve for x: 3(x + 8) = -18
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
What is 25 × 40?
|
Multiply the numbers.
|
Multiply 25 by 40.
|
1000
|
Simplify 48/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
Solve: -9x + -13 ≥ -103
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 10
|
What is 143 - -107?
|
Subtract the second number from the first.
|
Subtract -107 from 143.
|
250
|
Simplify -32/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
Solve for x: 3(x + 4) = -12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
What is 6^1?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 1 times (0th power = 1).
|
6
|
Simplify 12/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
If each item costs 12 dollars and the total cost is -192, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-16
|
Solve for x: -7(x + -1) = -35
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
Solve for x: 5(x + -2) = 50
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Solve: -5x + -14 < -9
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -1
|
What is 124 + -203?
|
Add the two numbers.
|
Add 124 and -203.
|
-79
|
What is -21 ÷ 7?
|
Divide evenly.
|
Divide -21 by 7.
|
-3
|
If each item costs -3 dollars and the total cost is 33, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-11
|
What is -4^4?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 4 times (0th power = 1).
|
256
|
What is 10 × 35?
|
Multiply the numbers.
|
Multiply 10 by 35.
|
350
|
What is 9 × -15?
|
Multiply the numbers.
|
Multiply 9 by -15.
|
-135
|
What is 34 × 5?
|
Multiply the numbers.
|
Multiply 34 by 5.
|
170
|
What is 28 + 187?
|
Add the two numbers.
|
Add 28 and 187.
|
215
|
What is 210 - 196?
|
Subtract the second number from the first.
|
Subtract 196 from 210.
|
14
|
Solve for x: 3(x + -8) = -9
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
What is 5^0?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 0 times (0th power = 1).
|
1
|
What is 2^3?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 3 times (0th power = 1).
|
8
|
Solve: -4x + 16 < -44
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 15
|
What is 270 + 79?
|
Add the two numbers.
|
Add 270 and 79.
|
349
|
Solve: -2x + -2 < -40
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 19
|
What is 7 × 51?
|
Multiply the numbers.
|
Multiply 7 by 51.
|
357
|
Solve for x: -9x + 3 = -6
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
1
|
What is -276 ÷ -23?
|
Divide evenly.
|
Divide -276 by -23.
|
12
|
If each item costs -7 dollars and the total cost is -147, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
21
|
Solve for x: 7(x + 12) = 56
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Solve for x: -4(x + 8) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
What is -56 ÷ 7?
|
Divide evenly.
|
Divide -56 by 7.
|
-8
|
What is 131 - -71?
|
Subtract the second number from the first.
|
Subtract -71 from 131.
|
202
|
What is -53 + 33?
|
Add the two numbers.
|
Add -53 and 33.
|
-20
|
What is -3 + -187?
|
Add the two numbers.
|
Add -3 and -187.
|
-190
|
Solve: -3x + 14 ≤ -10
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 8
|
What is 90 ÷ 9?
|
Divide evenly.
|
Divide 90 by 9.
|
10
|
If each item costs -6 dollars and the total cost is -36, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
What is -52 × 41?
|
Multiply the numbers.
|
Multiply -52 by 41.
|
-2132
|
What is 103 + 207?
|
Add the two numbers.
|
Add 103 and 207.
|
310
|
If each item costs -2 dollars and the total cost is -24, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
What is 203 ÷ -29?
|
Divide evenly.
|
Divide 203 by -29.
|
-7
|
What is 260 ÷ 13?
|
Divide evenly.
|
Divide 260 by 13.
|
20
|
What is -39 × 32?
|
Multiply the numbers.
|
Multiply -39 by 32.
|
-1248
|
What is 8^4?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 4 times (0th power = 1).
|
4096
|
What is 184 + -34?
|
Add the two numbers.
|
Add 184 and -34.
|
150
|
What is 240 ÷ 16?
|
Divide evenly.
|
Divide 240 by 16.
|
15
|
What is -1^3?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 3 times (0th power = 1).
|
-1
|
Solve for x: 4x + 6 = 66
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
Solve: 3x + 7 > 67
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 20
|
What is 53 × 58?
|
Multiply the numbers.
|
Multiply 53 by 58.
|
3074
|
What is 273 + 130?
|
Add the two numbers.
|
Add 273 and 130.
|
403
|
What is 264 ÷ -24?
|
Divide evenly.
|
Divide 264 by -24.
|
-11
|
Solve: -1x + 4 < 4
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 0
|
Solve for x: -11x + -11 = -121
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is -464 ÷ 29?
|
Divide evenly.
|
Divide -464 by 29.
|
-16
|
What is -2 × -35?
|
Multiply the numbers.
|
Multiply -2 by -35.
|
70
|
What is -144 - -300?
|
Subtract the second number from the first.
|
Subtract -300 from -144.
|
156
|
If each item costs 18 dollars and the total cost is -360, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
Simplify 20/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
Solve for x: -3x + -1 = -19
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
Solve for x: -8(x + 9) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
If each item costs 14 dollars and the total cost is 70, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
5
|
Solve for x: 9x + -1 = 89
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is 137 + -146?
|
Add the two numbers.
|
Add 137 and -146.
|
-9
|
What is 50 + 91?
|
Add the two numbers.
|
Add 50 and 91.
|
141
|
If each item costs -7 dollars and the total cost is -42, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
Solve: -2x + 2 < -4
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 3
|
What is -210 + 147?
|
Add the two numbers.
|
Add -210 and 147.
|
-63
|
Simplify 0/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
Solve for x: -9x + 30 = 111
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
What is -7^2?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 2 times (0th power = 1).
|
49
|
What is -77 - 201?
|
Subtract the second number from the first.
|
Subtract 201 from -77.
|
-278
|
Solve for x: -3(x + 12) = 3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
What is -26 - -241?
|
Subtract the second number from the first.
|
Subtract -241 from -26.
|
215
|
Solve for x: -3(x + 6) = -12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
Solve for x: -3x + 27 = 15
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
What is -187 - 42?
|
Subtract the second number from the first.
|
Subtract 42 from -187.
|
-229
|
What is -4 × 12?
|
Multiply the numbers.
|
Multiply -4 by 12.
|
-48
|
Solve: -7x + -11 ≤ -123
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 16
|
What is 51 + -188?
|
Add the two numbers.
|
Add 51 and -188.
|
-137
|
What is 120 ÷ -20?
|
Divide evenly.
|
Divide 120 by -20.
|
-6
|
Solve: 9x + -19 ≥ -127
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -12
|
What is 16 × -20?
|
Multiply the numbers.
|
Multiply 16 by -20.
|
-320
|
What is 200 + -251?
|
Add the two numbers.
|
Add 200 and -251.
|
-51
|
What is -41 + 81?
|
Add the two numbers.
|
Add -41 and 81.
|
40
|
Solve for x: 7x + -18 = -116
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
What is -242 - -162?
|
Subtract the second number from the first.
|
Subtract -162 from -242.
|
-80
|
Simplify 0/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
What is -128 ÷ -16?
|
Divide evenly.
|
Divide -128 by -16.
|
8
|
Solve for x: 1(x + 0) = -4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
What is 35 ÷ 7?
|
Divide evenly.
|
Divide 35 by 7.
|
5
|
What is 14 × -2?
|
Multiply the numbers.
|
Multiply 14 by -2.
|
-28
|
What is -240 ÷ -16?
|
Divide evenly.
|
Divide -240 by -16.
|
15
|
End of preview. Expand
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Large-Scale Mathematic Reasoning-400000
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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