question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: -3x + 8 ≥ -10
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 6
|
What is 9 + 61?
|
Add the two numbers.
|
Add 9 and 61.
|
70
|
What is -228 ÷ 12?
|
Divide evenly.
|
Divide -228 by 12.
|
-19
|
Solve for x: 8(x + 10) = 120
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
What is -72 + 200?
|
Add the two numbers.
|
Add -72 and 200.
|
128
|
Simplify 6/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Solve for x: 8x + 30 = 62
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
What is 414 ÷ -23?
|
Divide evenly.
|
Divide 414 by -23.
|
-18
|
If each item costs 6 dollars and the total cost is -24, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-4
|
What is 196 ÷ 28?
|
Divide evenly.
|
Divide 196 by 28.
|
7
|
What is -1^5?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 5 times (0th power = 1).
|
-1
|
Solve for x: -8x + 20 = 52
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
Solve for x: -8(x + -3) = -16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
What is 170 + 287?
|
Add the two numbers.
|
Add 170 and 287.
|
457
|
What is 54 × 27?
|
Multiply the numbers.
|
Multiply 54 by 27.
|
1458
|
What is 44 × 29?
|
Multiply the numbers.
|
Multiply 44 by 29.
|
1276
|
What is 49 × 24?
|
Multiply the numbers.
|
Multiply 49 by 24.
|
1176
|
What is 78 ÷ 13?
|
Divide evenly.
|
Divide 78 by 13.
|
6
|
What is -271 + 172?
|
Add the two numbers.
|
Add -271 and 172.
|
-99
|
Solve: -5x + 16 ≥ -29
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 9
|
What is 47 × 27?
|
Multiply the numbers.
|
Multiply 47 by 27.
|
1269
|
If each item costs 17 dollars and the total cost is 476, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
28
|
What is 124 + -143?
|
Add the two numbers.
|
Add 124 and -143.
|
-19
|
If each item costs 19 dollars and the total cost is -323, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-17
|
What is -174 ÷ 29?
|
Divide evenly.
|
Divide -174 by 29.
|
-6
|
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
|
What is -29 × 24?
|
Multiply the numbers.
|
Multiply -29 by 24.
|
-696
|
What is -42 + -37?
|
Add the two numbers.
|
Add -42 and -37.
|
-79
|
What is 138 - 268?
|
Subtract the second number from the first.
|
Subtract 268 from 138.
|
-130
|
What is 2^3?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 3 times (0th power = 1).
|
8
|
What is -1^1?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 1 times (0th power = 1).
|
-1
|
Solve for x: -4(x + 15) = -44
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Solve: -10x + -20 < 180
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -20
|
Solve: -2x + 2 < 4
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -1
|
What is -273 - -121?
|
Subtract the second number from the first.
|
Subtract -121 from -273.
|
-152
|
Simplify -108/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
Simplify -2/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
Solve for x: 2(x + -4) = -28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
What is -36 + 189?
|
Add the two numbers.
|
Add -36 and 189.
|
153
|
If each item costs 12 dollars and the total cost is 312, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
26
|
What is -288 - -291?
|
Subtract the second number from the first.
|
Subtract -291 from -288.
|
3
|
What is 28 × 29?
|
Multiply the numbers.
|
Multiply 28 by 29.
|
812
|
What is 52 - 230?
|
Subtract the second number from the first.
|
Subtract 230 from 52.
|
-178
|
What is 60 × -24?
|
Multiply the numbers.
|
Multiply 60 by -24.
|
-1440
|
Simplify -75/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
Solve for x: -5(x + 11) = -20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
What is 1^1?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 1 times (0th power = 1).
|
1
|
Solve for x: 1(x + -11) = -26
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
What is 84 ÷ 7?
|
Divide evenly.
|
Divide 84 by 7.
|
12
|
Simplify 49/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
Solve for x: 6(x + -2) = 54
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is -297 - 214?
|
Subtract the second number from the first.
|
Subtract 214 from -297.
|
-511
|
What is -6 × -17?
|
Multiply the numbers.
|
Multiply -6 by -17.
|
102
|
What is 218 + 112?
|
Add the two numbers.
|
Add 218 and 112.
|
330
|
Simplify -96/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
Solve for x: 2(x + -3) = -14
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
What is 19 - -62?
|
Subtract the second number from the first.
|
Subtract -62 from 19.
|
81
|
What is -48 ÷ -8?
|
Divide evenly.
|
Divide -48 by -8.
|
6
|
Simplify 3/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
If each item costs -5 dollars and the total cost is 80, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-16
|
Solve: -6x + -2 < -8
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 1
|
Solve for x: -4(x + -9) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
Solve for x: 8(x + -11) = -80
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
What is 237 + -256?
|
Add the two numbers.
|
Add 237 and -256.
|
-19
|
If each item costs 12 dollars and the total cost is -84, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
What is 2^5?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 5 times (0th power = 1).
|
32
|
What is 4 × 57?
|
Multiply the numbers.
|
Multiply 4 by 57.
|
228
|
If each item costs 16 dollars and the total cost is 176, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
11
|
What is 196 ÷ 14?
|
Divide evenly.
|
Divide 196 by 14.
|
14
|
Solve: 8x + 10 ≤ 122
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 14
|
Solve: -7x + 8 ≥ -13
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 3
|
What is -7^3?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 3 times (0th power = 1).
|
-343
|
Solve for x: -10x + 23 = -17
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
Solve: -4x + 20 > -40
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 15
|
Solve: -3x + -14 ≥ -56
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 14
|
What is -223 - 3?
|
Subtract the second number from the first.
|
Subtract 3 from -223.
|
-226
|
Solve for x: -3x + 0 = 42
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
What is 216 ÷ -12?
|
Divide evenly.
|
Divide 216 by -12.
|
-18
|
Simplify 22/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
What is -216 ÷ -18?
|
Divide evenly.
|
Divide -216 by -18.
|
12
|
What is 7^1?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 1 times (0th power = 1).
|
7
|
Simplify -117/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
Simplify 72/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
Solve for x: -3(x + -7) = 39
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
Solve for x: -5x + -29 = -69
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
Simplify 27/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Simplify 18/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
Solve: -6x + -10 > -118
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 18
|
What is 8^2?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 2 times (0th power = 1).
|
64
|
What is -20 × 35?
|
Multiply the numbers.
|
Multiply -20 by 35.
|
-700
|
What is -1^4?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 4 times (0th power = 1).
|
1
|
What is -195 - 242?
|
Subtract the second number from the first.
|
Subtract 242 from -195.
|
-437
|
Simplify -6/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
Solve for x: -9x + 2 = -7
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
1
|
What is -31 × -20?
|
Multiply the numbers.
|
Multiply -31 by -20.
|
620
|
Simplify -45/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
Solve for x: 5(x + 6) = -10
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
Solve: 6x + 12 > -96
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -18
|
What is 183 + 262?
|
Add the two numbers.
|
Add 183 and 262.
|
445
|
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
|
End of preview. Expand
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Large-Scale Mathematic Reasoning-1250000
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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