Datasets:
question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 13
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: 7x + 15 ≤ 8
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -1
|
If each item costs 19 dollars and the total cost is 570, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
30
|
What is 50 × -60?
|
Multiply the numbers.
|
Multiply 50 by -60.
|
-3000
|
Solve: -7x + -16 < 117
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -19
|
If each item costs -1 dollars and the total cost is -5, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
5
|
Solve for x: -10x + 26 = 216
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
Solve for x: 6(x + 11) = 84
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
What is 36 × -40?
|
Multiply the numbers.
|
Multiply 36 by -40.
|
-1440
|
What is 42 - 170?
|
Subtract the second number from the first.
|
Subtract 170 from 42.
|
-128
|
What is -5^0?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 0 times (0th power = 1).
|
1
|
Solve for x: -5x + 3 = 78
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is -157 + 228?
|
Add the two numbers.
|
Add -157 and 228.
|
71
|
Solve: -3x + -19 > -67
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 16
|
If each item costs 9 dollars and the total cost is 9, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
1
|
Simplify 99/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
What is -257 + -55?
|
Add the two numbers.
|
Add -257 and -55.
|
-312
|
If each item costs 1 dollars and the total cost is 11, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
11
|
Solve: -3x + 6 ≥ 18
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -4
|
Solve: 10x + -4 > -4
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 0
|
Solve for x: -7x + -1 = -43
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
What is 41 × -32?
|
Multiply the numbers.
|
Multiply 41 by -32.
|
-1312
|
Simplify -60/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
If each item costs 6 dollars and the total cost is 150, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
What is -30 ÷ 2?
|
Divide evenly.
|
Divide -30 by 2.
|
-15
|
Solve for x: 4(x + 5) = -4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
Solve for x: 6(x + 1) = 96
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve for x: -4(x + -1) = -8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
If each item costs 4 dollars and the total cost is 28, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
Solve: 6x + -15 ≤ -27
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -2
|
What is -323 ÷ 17?
|
Divide evenly.
|
Divide -323 by 17.
|
-19
|
Solve: -8x + 17 ≤ 41
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -3
|
Solve for x: 9x + -26 = -152
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
What is -133 - 116?
|
Subtract the second number from the first.
|
Subtract 116 from -133.
|
-249
|
If each item costs 7 dollars and the total cost is 98, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
14
|
Solve for x: -7(x + 5) = -140
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is 7^4?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 4 times (0th power = 1).
|
2401
|
What is 6 × -53?
|
Multiply the numbers.
|
Multiply 6 by -53.
|
-318
|
Simplify 16/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
What is 7^3?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 3 times (0th power = 1).
|
343
|
Solve for x: 9x + 22 = -59
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
What is -122 - 127?
|
Subtract the second number from the first.
|
Subtract 127 from -122.
|
-249
|
What is -31 + -27?
|
Add the two numbers.
|
Add -31 and -27.
|
-58
|
If each item costs -2 dollars and the total cost is -50, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
Solve for x: -8(x + -9) = 32
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
What is -475 ÷ 25?
|
Divide evenly.
|
Divide -475 by 25.
|
-19
|
What is 60 + -52?
|
Add the two numbers.
|
Add 60 and -52.
|
8
|
What is -60 ÷ 4?
|
Divide evenly.
|
Divide -60 by 4.
|
-15
|
What is 40 × 8?
|
Multiply the numbers.
|
Multiply 40 by 8.
|
320
|
Solve for x: 8(x + 11) = 160
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
What is -207 - -232?
|
Subtract the second number from the first.
|
Subtract -232 from -207.
|
25
|
Solve for x: -5(x + 13) = -100
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
Simplify -8/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
If each item costs 15 dollars and the total cost is -255, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-17
|
What is -31 × -26?
|
Multiply the numbers.
|
Multiply -31 by -26.
|
806
|
What is 36 ÷ 9?
|
Divide evenly.
|
Divide 36 by 9.
|
4
|
Solve for x: -4(x + 13) = -52
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
What is -6^1?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 1 times (0th power = 1).
|
-6
|
What is 119 ÷ -7?
|
Divide evenly.
|
Divide 119 by -7.
|
-17
|
Solve: 4x + 6 < -70
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -19
|
Solve for x: 3(x + 1) = -3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
What is -6^4?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 4 times (0th power = 1).
|
1296
|
Simplify -48/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
What is -4^2?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 2 times (0th power = 1).
|
16
|
What is -111 + -59?
|
Add the two numbers.
|
Add -111 and -59.
|
-170
|
What is 146 + 115?
|
Add the two numbers.
|
Add 146 and 115.
|
261
|
If each item costs 9 dollars and the total cost is -9, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-1
|
What is 8 ÷ 2?
|
Divide evenly.
|
Divide 8 by 2.
|
4
|
Solve for x: -7(x + -11) = 14
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
Solve for x: -1x + -20 = -12
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
What is 54 × -50?
|
Multiply the numbers.
|
Multiply 54 by -50.
|
-2700
|
What is 252 ÷ 28?
|
Divide evenly.
|
Divide 252 by 28.
|
9
|
Simplify -104/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
If each item costs 7 dollars and the total cost is 112, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
16
|
What is 165 + 26?
|
Add the two numbers.
|
Add 165 and 26.
|
191
|
What is -42 - -189?
|
Subtract the second number from the first.
|
Subtract -189 from -42.
|
147
|
What is -7^3?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 3 times (0th power = 1).
|
-343
|
Solve for x: 6(x + -15) = -114
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
What is 1^0?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 0 times (0th power = 1).
|
1
|
Simplify -100/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
Solve: 4x + -2 ≤ -50
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -12
|
What is 16 × -15?
|
Multiply the numbers.
|
Multiply 16 by -15.
|
-240
|
What is 2^0?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 0 times (0th power = 1).
|
1
|
If each item costs -9 dollars and the total cost is -99, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
11
|
What is -12 × -18?
|
Multiply the numbers.
|
Multiply -12 by -18.
|
216
|
What is -23 × 32?
|
Multiply the numbers.
|
Multiply -23 by 32.
|
-736
|
If each item costs 16 dollars and the total cost is 256, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
16
|
What is -7^1?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 1 times (0th power = 1).
|
-7
|
Solve: 2x + -19 < 19
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 19
|
If each item costs 10 dollars and the total cost is 230, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
Solve for x: 11x + 23 = 67
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
If each item costs -4 dollars and the total cost is 60, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
If each item costs -4 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 -299 - 71?
|
Subtract the second number from the first.
|
Subtract 71 from -299.
|
-370
|
Solve for x: 2(x + 3) = -2
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
What is -34 × 46?
|
Multiply the numbers.
|
Multiply -34 by 46.
|
-1564
|
What is -11 × -56?
|
Multiply the numbers.
|
Multiply -11 by -56.
|
616
|
Solve: 1x + 11 ≥ -5
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -16
|
Solve for x: 3x + 6 = -48
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is -4^3?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 3 times (0th power = 1).
|
-64
|
What is -189 ÷ -27?
|
Divide evenly.
|
Divide -189 by -27.
|
7
|
End of preview. Expand
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Large-Scale Mathematic Reasoning-75000
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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