question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: -6x + 14 ≤ 122
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -18
|
If each item costs 19 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
0
|
What is 180 ÷ -30?
|
Divide evenly.
|
Divide 180 by -30.
|
-6
|
Solve: -1x + -9 > 5
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -14
|
Solve for x: -2(x + -10) = -10
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is 4 + -229?
|
Add the two numbers.
|
Add 4 and -229.
|
-225
|
What is -57 × -39?
|
Multiply the numbers.
|
Multiply -57 by -39.
|
2223
|
What is 6^3?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 3 times (0th power = 1).
|
216
|
Simplify 18/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
What is -6^1?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 1 times (0th power = 1).
|
-6
|
Simplify 30/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Simplify 40/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
Simplify -30/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
What is 225 ÷ 15?
|
Divide evenly.
|
Divide 225 by 15.
|
15
|
What is 39 × 1?
|
Multiply the numbers.
|
Multiply 39 by 1.
|
39
|
Solve for x: -9x + -18 = -45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
What is -54 ÷ -27?
|
Divide evenly.
|
Divide -54 by -27.
|
2
|
What is 4 ÷ -4?
|
Divide evenly.
|
Divide 4 by -4.
|
-1
|
If each item costs 1 dollars and the total cost is 23, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
Solve: 7x + 2 < 128
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 18
|
Solve for x: -5(x + -6) = -45
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve for x: -6(x + 0) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Solve for x: 2(x + -6) = -16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
If each item costs 1 dollars and the total cost is 27, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
27
|
What is 48 ÷ -3?
|
Divide evenly.
|
Divide 48 by -3.
|
-16
|
What is 364 ÷ 26?
|
Divide evenly.
|
Divide 364 by 26.
|
14
|
What is -7^2?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 2 times (0th power = 1).
|
49
|
Solve for x: -6(x + -6) = 42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
What is 130 ÷ -13?
|
Divide evenly.
|
Divide 130 by -13.
|
-10
|
If each item costs -6 dollars and the total cost is -108, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
Simplify 144/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
What is -162 ÷ 18?
|
Divide evenly.
|
Divide -162 by 18.
|
-9
|
What is -167 + -163?
|
Add the two numbers.
|
Add -167 and -163.
|
-330
|
What is 55 - -162?
|
Subtract the second number from the first.
|
Subtract -162 from 55.
|
217
|
What is -243 + -29?
|
Add the two numbers.
|
Add -243 and -29.
|
-272
|
Solve for x: 8(x + 2) = 40
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
What is -6^1?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 1 times (0th power = 1).
|
-6
|
Solve for x: 4x + -30 = -14
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
What is -224 ÷ -28?
|
Divide evenly.
|
Divide -224 by -28.
|
8
|
Solve for x: 1(x + 7) = 6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
Solve for x: -2(x + 6) = 4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
Solve for x: 7x + -17 = -17
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
What is -46 × -13?
|
Multiply the numbers.
|
Multiply -46 by -13.
|
598
|
Solve for x: -8(x + 4) = 64
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
What is -60 × -43?
|
Multiply the numbers.
|
Multiply -60 by -43.
|
2580
|
What is 51 × 8?
|
Multiply the numbers.
|
Multiply 51 by 8.
|
408
|
Solve: -2x + 7 < 21
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -7
|
Simplify -6/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
If each item costs 5 dollars and the total cost is 85, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
17
|
What is 1^5?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 5 times (0th power = 1).
|
1
|
Solve for x: 5(x + 12) = 5
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
What is -247 ÷ -13?
|
Divide evenly.
|
Divide -247 by -13.
|
19
|
Solve: -6x + -3 > 51
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -9
|
What is 432 ÷ 27?
|
Divide evenly.
|
Divide 432 by 27.
|
16
|
What is -3^2?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 2 times (0th power = 1).
|
9
|
Simplify 60/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
What is -135 + 259?
|
Add the two numbers.
|
Add -135 and 259.
|
124
|
Solve for x: -7x + -17 = 102
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
What is -4^2?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 2 times (0th power = 1).
|
16
|
Solve for x: -1x + 29 = 35
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-6
|
What is -186 + 189?
|
Add the two numbers.
|
Add -186 and 189.
|
3
|
Simplify 26/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
Solve for x: 12x + -2 = 82
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
What is 112 - 152?
|
Subtract the second number from the first.
|
Subtract 152 from 112.
|
-40
|
What is -284 - -233?
|
Subtract the second number from the first.
|
Subtract -233 from -284.
|
-51
|
What is 253 + 70?
|
Add the two numbers.
|
Add 253 and 70.
|
323
|
Solve for x: -3x + 13 = -2
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
5
|
If each item costs 8 dollars and the total cost is -80, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-10
|
Solve for x: 1x + -27 = -34
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-7
|
Simplify -40/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
Solve for x: -6(x + 6) = -126
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is 129 + -186?
|
Add the two numbers.
|
Add 129 and -186.
|
-57
|
Solve for x: 7(x + -11) = 14
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
What is -3^5?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 5 times (0th power = 1).
|
-243
|
What is -102 ÷ -6?
|
Divide evenly.
|
Divide -102 by -6.
|
17
|
Simplify -30/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is 11 × 13?
|
Multiply the numbers.
|
Multiply 11 by 13.
|
143
|
Solve for x: -3(x + -1) = -15
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
What is -229 - 271?
|
Subtract the second number from the first.
|
Subtract 271 from -229.
|
-500
|
Solve for x: -7x + 28 = -28
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
Solve: -1x + -9 > -16
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 7
|
Solve for x: 6x + 8 = -70
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
What is 2^3?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 3 times (0th power = 1).
|
8
|
If each item costs 20 dollars and the total cost is -360, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
Solve for x: -1x + 27 = 31
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
What is -25 × 37?
|
Multiply the numbers.
|
Multiply -25 by 37.
|
-925
|
What is -27 × 40?
|
Multiply the numbers.
|
Multiply -27 by 40.
|
-1080
|
What is -4^2?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 2 times (0th power = 1).
|
16
|
What is 201 - -203?
|
Subtract the second number from the first.
|
Subtract -203 from 201.
|
404
|
What is -8 × 51?
|
Multiply the numbers.
|
Multiply -8 by 51.
|
-408
|
What is 168 + -47?
|
Add the two numbers.
|
Add 168 and -47.
|
121
|
What is -36 × 41?
|
Multiply the numbers.
|
Multiply -36 by 41.
|
-1476
|
If each item costs 0 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
Solve for x: -4x + 10 = 34
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-6
|
What is 1^2?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 2 times (0th power = 1).
|
1
|
Solve for x: 7(x + 4) = 133
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is 106 - 209?
|
Subtract the second number from the first.
|
Subtract 209 from 106.
|
-103
|
What is -169 - -121?
|
Subtract the second number from the first.
|
Subtract -121 from -169.
|
-48
|
Solve for x: -9x + 8 = -163
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
Simplify -36/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
End of preview. Expand
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Large-Scale Mathematic Reasoning-600000
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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