Datasets:
question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 13
82
| answer
stringlengths 1
7
|
|---|---|---|---|
What is -16 ÷ -8?
|
Divide evenly.
|
Divide -16 by -8.
|
2
|
If each item costs 14 dollars and the total cost is 238, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
17
|
What is -27 ÷ -9?
|
Divide evenly.
|
Divide -27 by -9.
|
3
|
Solve: -4x + 15 < 51
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -9
|
Solve: -7x + 5 ≤ -72
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 11
|
Simplify 180/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
Solve for x: -4(x + 9) = -28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
If each item costs 16 dollars and the total cost is 320, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
What is -21 × 22?
|
Multiply the numbers.
|
Multiply -21 by 22.
|
-462
|
What is 5^4?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 4 times (0th power = 1).
|
625
|
What is 183 + -161?
|
Add the two numbers.
|
Add 183 and -161.
|
22
|
Solve for x: 7(x + -4) = -28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
What is -106 - -205?
|
Subtract the second number from the first.
|
Subtract -205 from -106.
|
99
|
Solve for x: 1(x + -2) = 6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
What is -105 ÷ -15?
|
Divide evenly.
|
Divide -105 by -15.
|
7
|
What is -47 × -33?
|
Multiply the numbers.
|
Multiply -47 by -33.
|
1551
|
Simplify 1/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
What is 18 × -24?
|
Multiply the numbers.
|
Multiply 18 by -24.
|
-432
|
If each item costs 19 dollars and the total cost is -57, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
Solve for x: 9x + 30 = 111
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
What is 40 × 3?
|
Multiply the numbers.
|
Multiply 40 by 3.
|
120
|
What is -21 × -15?
|
Multiply the numbers.
|
Multiply -21 by -15.
|
315
|
Solve for x: 8(x + -3) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
If each item costs 8 dollars and the total cost is 136, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
17
|
Solve: 1x + -16 < -5
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 11
|
If each item costs 6 dollars and the total cost is -12, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
If each item costs 11 dollars and the total cost is -55, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-5
|
What is 120 ÷ 24?
|
Divide evenly.
|
Divide 120 by 24.
|
5
|
What is 399 ÷ -21?
|
Divide evenly.
|
Divide 399 by -21.
|
-19
|
What is 19 - -22?
|
Subtract the second number from the first.
|
Subtract -22 from 19.
|
41
|
What is -5^2?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 2 times (0th power = 1).
|
25
|
If each item costs 11 dollars and the total cost is 176, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
16
|
What is 7^5?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 5 times (0th power = 1).
|
16807
|
What is 289 - -36?
|
Subtract the second number from the first.
|
Subtract -36 from 289.
|
325
|
Solve for x: 8x + -7 = 1
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
1
|
If each item costs -8 dollars and the total cost is -40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
5
|
Solve for x: 8x + 27 = -117
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is 6^2?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 2 times (0th power = 1).
|
36
|
What is 220 - -12?
|
Subtract the second number from the first.
|
Subtract -12 from 220.
|
232
|
What is -155 - 89?
|
Subtract the second number from the first.
|
Subtract 89 from -155.
|
-244
|
Solve for x: -2x + 24 = 62
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
What is 234 ÷ 13?
|
Divide evenly.
|
Divide 234 by 13.
|
18
|
What is -336 ÷ 28?
|
Divide evenly.
|
Divide -336 by 28.
|
-12
|
What is 4^4?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 4 times (0th power = 1).
|
256
|
What is -2^5?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 5 times (0th power = 1).
|
-32
|
What is 33 + 165?
|
Add the two numbers.
|
Add 33 and 165.
|
198
|
What is -45 × 5?
|
Multiply the numbers.
|
Multiply -45 by 5.
|
-225
|
Simplify -18/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is 90 ÷ -6?
|
Divide evenly.
|
Divide 90 by -6.
|
-15
|
Simplify 6/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
Solve for x: 7x + -16 = 96
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
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
|
What is -39 × -3?
|
Multiply the numbers.
|
Multiply -39 by -3.
|
117
|
If each item costs -7 dollars and the total cost is -210, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
30
|
Solve: 2x + 0 ≤ -40
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -20
|
What is -7^0?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 0 times (0th power = 1).
|
1
|
Simplify -80/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
What is -157 + 276?
|
Add the two numbers.
|
Add -157 and 276.
|
119
|
Simplify -60/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
Solve for x: 6(x + 5) = 78
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
What is 36 ÷ -9?
|
Divide evenly.
|
Divide 36 by -9.
|
-4
|
What is 292 + 163?
|
Add the two numbers.
|
Add 292 and 163.
|
455
|
Simplify 60/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
Solve: 5x + -15 > -65
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -10
|
Solve: -5x + 6 > -69
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 15
|
What is -280 - 281?
|
Subtract the second number from the first.
|
Subtract 281 from -280.
|
-561
|
Simplify -105/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
Solve for x: 2(x + -14) = 2
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is 7^5?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 5 times (0th power = 1).
|
16807
|
Solve for x: 5x + 16 = 86
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
14
|
What is 125 - 219?
|
Subtract the second number from the first.
|
Subtract 219 from 125.
|
-94
|
What is 59 × -59?
|
Multiply the numbers.
|
Multiply 59 by -59.
|
-3481
|
Solve for x: -7x + 23 = 72
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-7
|
Solve: -6x + 9 ≥ 99
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -15
|
What is -45 ÷ -5?
|
Divide evenly.
|
Divide -45 by -5.
|
9
|
Solve for x: 10x + 0 = -100
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
Solve: -2x + -8 ≥ -44
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 18
|
Solve: 6x + -10 ≤ 80
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 15
|
What is -1 × -16?
|
Multiply the numbers.
|
Multiply -1 by -16.
|
16
|
Solve: -2x + -19 ≥ 11
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -15
|
Solve for x: -7(x + 8) = -133
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
Solve for x: -8(x + 11) = -104
|
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 20, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
What is 5 ÷ -5?
|
Divide evenly.
|
Divide 5 by -5.
|
-1
|
What is -7^2?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 2 times (0th power = 1).
|
49
|
If each item costs -2 dollars and the total cost is -40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
Solve: 5x + 1 > 76
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 15
|
Solve for x: 4x + 11 = -61
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is -14 ÷ -7?
|
Divide evenly.
|
Divide -14 by -7.
|
2
|
Simplify -64/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
What is 47 × 7?
|
Multiply the numbers.
|
Multiply 47 by 7.
|
329
|
What is 191 - -211?
|
Subtract the second number from the first.
|
Subtract -211 from 191.
|
402
|
What is 261 + -109?
|
Add the two numbers.
|
Add 261 and -109.
|
152
|
What is 59 × 46?
|
Multiply the numbers.
|
Multiply 59 by 46.
|
2714
|
Solve: 9x + -3 < -120
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -13
|
What is -128 ÷ -8?
|
Divide evenly.
|
Divide -128 by -8.
|
16
|
What is 6^2?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 2 times (0th power = 1).
|
36
|
If each item costs 18 dollars and the total cost is 540, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
30
|
What is -64 ÷ -8?
|
Divide evenly.
|
Divide -64 by -8.
|
8
|
Solve: 2x + 12 ≤ 0
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -6
|
End of preview. Expand
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Large-Scale Mathematic Reasoning-25000
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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