question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: -10x + -2 > 198
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -20
|
What is 17 × 28?
|
Multiply the numbers.
|
Multiply 17 by 28.
|
476
|
What is 123 + -256?
|
Add the two numbers.
|
Add 123 and -256.
|
-133
|
If each item costs -3 dollars and the total cost is -60, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
What is 350 ÷ -25?
|
Divide evenly.
|
Divide 350 by -25.
|
-14
|
Simplify 32/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
What is -203 + 94?
|
Add the two numbers.
|
Add -203 and 94.
|
-109
|
If each item costs -2 dollars and the total cost is -4, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
2
|
Simplify -60/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
If each item costs 18 dollars and the total cost is 90, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
5
|
Simplify -165/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
Simplify 78/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
What is 2^2?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 2 times (0th power = 1).
|
4
|
Solve: 7x + 20 ≤ -78
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -14
|
What is 25 × 50?
|
Multiply the numbers.
|
Multiply 25 by 50.
|
1250
|
What is -35 + 171?
|
Add the two numbers.
|
Add -35 and 171.
|
136
|
What is 143 - 202?
|
Subtract the second number from the first.
|
Subtract 202 from 143.
|
-59
|
Solve for x: -5(x + 0) = -75
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Simplify -16/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
What is -30 ÷ 2?
|
Divide evenly.
|
Divide -30 by 2.
|
-15
|
Solve: -4x + 20 ≤ -28
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 12
|
Solve for x: 4x + 1 = -79
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-20
|
Solve: 9x + 2 > -25
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -3
|
Simplify -117/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
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
|
Simplify 63/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
Solve: 3x + 3 > 0
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -1
|
What is -281 - 108?
|
Subtract the second number from the first.
|
Subtract 108 from -281.
|
-389
|
Solve for x: -8(x + -4) = -88
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
If each item costs 9 dollars and the total cost is -171, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-19
|
Simplify 0/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
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
|
What is 2^5?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 5 times (0th power = 1).
|
32
|
Solve: -8x + 13 > 45
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -4
|
Solve: 7x + -14 < -49
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -5
|
If each item costs 16 dollars and the total cost is -64, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-4
|
Solve for x: 4x + 13 = 85
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
What is -128 + -9?
|
Add the two numbers.
|
Add -128 and -9.
|
-137
|
Solve for x: 2x + -13 = -29
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
What is -109 + 252?
|
Add the two numbers.
|
Add -109 and 252.
|
143
|
Solve for x: -2(x + 6) = 14
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
Simplify 35/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
What is 27 + 49?
|
Add the two numbers.
|
Add 27 and 49.
|
76
|
What is 15 ÷ 3?
|
Divide evenly.
|
Divide 15 by 3.
|
5
|
What is -8 ÷ -4?
|
Divide evenly.
|
Divide -8 by -4.
|
2
|
What is -234 + -272?
|
Add the two numbers.
|
Add -234 and -272.
|
-506
|
What is 14 × -11?
|
Multiply the numbers.
|
Multiply 14 by -11.
|
-154
|
What is 108 + 39?
|
Add the two numbers.
|
Add 108 and 39.
|
147
|
What is -414 ÷ -23?
|
Divide evenly.
|
Divide -414 by -23.
|
18
|
Solve: -7x + 17 < -32
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 7
|
Solve for x: 10x + 4 = -6
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-1
|
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 42 - 171?
|
Subtract the second number from the first.
|
Subtract 171 from 42.
|
-129
|
What is 258 + 245?
|
Add the two numbers.
|
Add 258 and 245.
|
503
|
Solve for x: 7x + 29 = -6
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
What is 2^3?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 3 times (0th power = 1).
|
8
|
What is -4^1?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 1 times (0th power = 1).
|
-4
|
What is -560 ÷ -28?
|
Divide evenly.
|
Divide -560 by -28.
|
20
|
What is -6^3?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 3 times (0th power = 1).
|
-216
|
What is -70 + 99?
|
Add the two numbers.
|
Add -70 and 99.
|
29
|
Simplify -18/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
Simplify 48/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
Solve for x: 6(x + 4) = 6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
What is 5^0?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 0 times (0th power = 1).
|
1
|
What is -2^0?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 0 times (0th power = 1).
|
1
|
Solve for x: -3(x + 6) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
What is -84 - 117?
|
Subtract the second number from the first.
|
Subtract 117 from -84.
|
-201
|
What is -260 + 164?
|
Add the two numbers.
|
Add -260 and 164.
|
-96
|
Simplify 27/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is -88 + 234?
|
Add the two numbers.
|
Add -88 and 234.
|
146
|
Solve for x: -4(x + 8) = -80
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
What is 5^1?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 1 times (0th power = 1).
|
5
|
What is 28 × 49?
|
Multiply the numbers.
|
Multiply 28 by 49.
|
1372
|
What is -201 + 8?
|
Add the two numbers.
|
Add -201 and 8.
|
-193
|
What is 169 ÷ 13?
|
Divide evenly.
|
Divide 169 by 13.
|
13
|
Solve: 9x + 14 ≤ -31
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -5
|
What is -56 × -13?
|
Multiply the numbers.
|
Multiply -56 by -13.
|
728
|
What is -298 - 63?
|
Subtract the second number from the first.
|
Subtract 63 from -298.
|
-361
|
Solve for x: -8(x + -11) = 160
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
What is -3 × -2?
|
Multiply the numbers.
|
Multiply -3 by -2.
|
6
|
What is -6^1?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 1 times (0th power = 1).
|
-6
|
Solve for x: 12x + -4 = -4
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
What is 114 - 214?
|
Subtract the second number from the first.
|
Subtract 214 from 114.
|
-100
|
What is 29 - -28?
|
Subtract the second number from the first.
|
Subtract -28 from 29.
|
57
|
What is 234 ÷ 26?
|
Divide evenly.
|
Divide 234 by 26.
|
9
|
What is -19 × -57?
|
Multiply the numbers.
|
Multiply -19 by -57.
|
1083
|
Solve: -10x + -14 ≤ -134
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 12
|
Solve for x: -2(x + -13) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
Solve for x: 2(x + 6) = 2
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
Solve: -3x + 10 < -32
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 14
|
Simplify 12/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is 46 × 47?
|
Multiply the numbers.
|
Multiply 46 by 47.
|
2162
|
What is 8^3?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 3 times (0th power = 1).
|
512
|
What is -121 - 197?
|
Subtract the second number from the first.
|
Subtract 197 from -121.
|
-318
|
What is -62 - -243?
|
Subtract the second number from the first.
|
Subtract -243 from -62.
|
181
|
Solve for x: 2(x + 0) = 28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
What is -77 + 34?
|
Add the two numbers.
|
Add -77 and 34.
|
-43
|
If each item costs 1 dollars and the total cost is -3, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
If each item costs 13 dollars and the total cost is 377, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
29
|
Solve for x: -8(x + -11) = 136
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
End of preview. Expand
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Large-Scale Mathematic Reasoning-250000
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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