question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
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
|
Solve: -9x + -6 > 129
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -15
|
What is -198 ÷ -18?
|
Divide evenly.
|
Divide -198 by -18.
|
11
|
What is 184 - -231?
|
Subtract the second number from the first.
|
Subtract -231 from 184.
|
415
|
What is -12 ÷ -12?
|
Divide evenly.
|
Divide -12 by -12.
|
1
|
Solve for x: -9x + 16 = 160
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-16
|
Solve: 8x + 16 > 56
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 5
|
If each item costs 9 dollars and the total cost is 225, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
Simplify -35/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
If each item costs -10 dollars and the total cost is 60, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-6
|
Simplify 0/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
Simplify 27/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
Simplify -63/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
What is 4 × -52?
|
Multiply the numbers.
|
Multiply 4 by -52.
|
-208
|
Solve for x: 3(x + 10) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
What is 242 - 128?
|
Subtract the second number from the first.
|
Subtract 128 from 242.
|
114
|
What is 17 × 15?
|
Multiply the numbers.
|
Multiply 17 by 15.
|
255
|
If each item costs 1 dollars and the total cost is -8, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-8
|
What is 30 ÷ -2?
|
Divide evenly.
|
Divide 30 by -2.
|
-15
|
What is -277 + -28?
|
Add the two numbers.
|
Add -277 and -28.
|
-305
|
What is 194 - -128?
|
Subtract the second number from the first.
|
Subtract -128 from 194.
|
322
|
Solve for x: -4(x + -2) = 8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
What is -264 ÷ -22?
|
Divide evenly.
|
Divide -264 by -22.
|
12
|
What is 227 - 135?
|
Subtract the second number from the first.
|
Subtract 135 from 227.
|
92
|
What is -211 - -242?
|
Subtract the second number from the first.
|
Subtract -242 from -211.
|
31
|
What is -90 ÷ -5?
|
Divide evenly.
|
Divide -90 by -5.
|
18
|
Solve for x: -1x + -4 = -13
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
What is 137 - 41?
|
Subtract the second number from the first.
|
Subtract 41 from 137.
|
96
|
Simplify -10/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
Solve for x: 8(x + -2) = 96
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
What is 186 - -125?
|
Subtract the second number from the first.
|
Subtract -125 from 186.
|
311
|
What is 30 × -60?
|
Multiply the numbers.
|
Multiply 30 by -60.
|
-1800
|
Solve for x: -12x + -7 = -199
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
Solve for x: -5x + -6 = -106
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
Solve for x: 8(x + 15) = 216
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Solve for x: -7(x + 14) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Solve: -6x + 11 ≥ 5
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 1
|
Simplify -150/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
What is -25 × 34?
|
Multiply the numbers.
|
Multiply -25 by 34.
|
-850
|
What is -30 + -296?
|
Add the two numbers.
|
Add -30 and -296.
|
-326
|
Solve for x: 5x + -18 = 62
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
If each item costs -7 dollars and the total cost is 28, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-4
|
If each item costs 3 dollars and the total cost is 66, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
22
|
Solve for x: 2x + -18 = -52
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
If each item costs 15 dollars and the total cost is -210, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-14
|
Solve: -8x + -3 < -75
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 9
|
What is -46 × -37?
|
Multiply the numbers.
|
Multiply -46 by -37.
|
1702
|
Solve: 7x + -12 > -82
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -10
|
Solve for x: 8(x + -6) = -160
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
What is -3^1?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 1 times (0th power = 1).
|
-3
|
Solve for x: 8(x + -8) = -8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
What is 14 × -42?
|
Multiply the numbers.
|
Multiply 14 by -42.
|
-588
|
If each item costs 18 dollars and the total cost is 306, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
17
|
What is 80 + -193?
|
Add the two numbers.
|
Add 80 and -193.
|
-113
|
Solve for x: -8(x + 0) = -24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
Simplify -64/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
If each item costs 20 dollars and the total cost is 140, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
Solve: 7x + 9 > -12
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -3
|
What is -182 ÷ 13?
|
Divide evenly.
|
Divide -182 by 13.
|
-14
|
If each item costs 20 dollars and the total cost is -40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
What is -238 ÷ -14?
|
Divide evenly.
|
Divide -238 by -14.
|
17
|
What is -7^1?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 1 times (0th power = 1).
|
-7
|
Simplify -176/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
What is -11 × -16?
|
Multiply the numbers.
|
Multiply -11 by -16.
|
176
|
What is -18 + 250?
|
Add the two numbers.
|
Add -18 and 250.
|
232
|
What is 56 × -16?
|
Multiply the numbers.
|
Multiply 56 by -16.
|
-896
|
What is -96 - 87?
|
Subtract the second number from the first.
|
Subtract 87 from -96.
|
-183
|
What is -217 - 118?
|
Subtract the second number from the first.
|
Subtract 118 from -217.
|
-335
|
Solve for x: 8(x + -5) = 32
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
What is 137 + 291?
|
Add the two numbers.
|
Add 137 and 291.
|
428
|
Simplify -60/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
What is 17 × -24?
|
Multiply the numbers.
|
Multiply 17 by -24.
|
-408
|
Simplify -40/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
Simplify 84/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Solve for x: -1x + -20 = -24
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
Solve for x: -3x + 28 = -5
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
11
|
If each item costs 18 dollars and the total cost is -216, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-12
|
What is -38 × -56?
|
Multiply the numbers.
|
Multiply -38 by -56.
|
2128
|
What is -80 ÷ 10?
|
Divide evenly.
|
Divide -80 by 10.
|
-8
|
What is 23 ÷ 23?
|
Divide evenly.
|
Divide 23 by 23.
|
1
|
What is 59 × -50?
|
Multiply the numbers.
|
Multiply 59 by -50.
|
-2950
|
Solve for x: 2x + 11 = 29
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
What is -46 - -298?
|
Subtract the second number from the first.
|
Subtract -298 from -46.
|
252
|
What is -27 × -44?
|
Multiply the numbers.
|
Multiply -27 by -44.
|
1188
|
What is -11 × -10?
|
Multiply the numbers.
|
Multiply -11 by -10.
|
110
|
Simplify 6/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
If each item costs 8 dollars and the total cost is -64, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-8
|
Solve for x: 6x + 19 = -59
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
What is -10 × -16?
|
Multiply the numbers.
|
Multiply -10 by -16.
|
160
|
Simplify 14/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
If each item costs -10 dollars and the total cost is -50, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
5
|
Solve for x: -8x + -28 = 4
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
What is 274 - -65?
|
Subtract the second number from the first.
|
Subtract -65 from 274.
|
339
|
If each item costs -1 dollars and the total cost is 13, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-13
|
Simplify 10/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is 4^3?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 3 times (0th power = 1).
|
64
|
What is 168 ÷ -12?
|
Divide evenly.
|
Divide 168 by -12.
|
-14
|
What is -120 ÷ 15?
|
Divide evenly.
|
Divide -120 by 15.
|
-8
|
Solve for x: -4(x + -13) = 84
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
What is -4 × -17?
|
Multiply the numbers.
|
Multiply -4 by -17.
|
68
|
End of preview. Expand
in Data Studio
Large-Scale Mathematic Reasoning-100000
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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