question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
What is 5^3?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 3 times (0th power = 1).
|
125
|
What is -55 × 35?
|
Multiply the numbers.
|
Multiply -55 by 35.
|
-1925
|
Solve: 6x + -16 > -82
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -11
|
Solve: -9x + 13 ≤ 40
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -3
|
Solve for x: -10x + 3 = 143
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
Solve for x: -7(x + 4) = 56
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
What is -231 - 251?
|
Subtract the second number from the first.
|
Subtract 251 from -231.
|
-482
|
If each item costs -8 dollars and the total cost is -144, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
What is -86 + 198?
|
Add the two numbers.
|
Add -86 and 198.
|
112
|
If each item costs 3 dollars and the total cost is -36, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-12
|
Simplify 2/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
Simplify 88/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
What is -20 × 60?
|
Multiply the numbers.
|
Multiply -20 by 60.
|
-1200
|
If each item costs -10 dollars and the total cost is -180, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
What is 90 ÷ 18?
|
Divide evenly.
|
Divide 90 by 18.
|
5
|
What is -22 × 60?
|
Multiply the numbers.
|
Multiply -22 by 60.
|
-1320
|
If each item costs -9 dollars and the total cost is 162, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
Simplify 64/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
What is 156 - -278?
|
Subtract the second number from the first.
|
Subtract -278 from 156.
|
434
|
Simplify 66/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
What is 49 - 203?
|
Subtract the second number from the first.
|
Subtract 203 from 49.
|
-154
|
What is 121 + -78?
|
Add the two numbers.
|
Add 121 and -78.
|
43
|
If each item costs 13 dollars and the total cost is 286, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
22
|
Solve for x: -5(x + 5) = 10
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
If each item costs 6 dollars and the total cost is 30, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
5
|
What is -156 ÷ 26?
|
Divide evenly.
|
Divide -156 by 26.
|
-6
|
What is 6^2?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 2 times (0th power = 1).
|
36
|
What is 231 + -57?
|
Add the two numbers.
|
Add 231 and -57.
|
174
|
Solve: 3x + -6 < 18
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 8
|
Solve: 1x + 5 ≥ 12
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 7
|
What is 143 - -159?
|
Subtract the second number from the first.
|
Subtract -159 from 143.
|
302
|
Solve for x: 4x + -14 = -54
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
If each item costs 7 dollars and the total cost is -105, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
If each item costs -3 dollars and the total cost is -3, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
1
|
What is 2^5?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 5 times (0th power = 1).
|
32
|
What is 157 - -180?
|
Subtract the second number from the first.
|
Subtract -180 from 157.
|
337
|
Solve for x: -2(x + -13) = 22
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
2
|
What is 8 × 4?
|
Multiply the numbers.
|
Multiply 8 by 4.
|
32
|
What is -22 × 2?
|
Multiply the numbers.
|
Multiply -22 by 2.
|
-44
|
If each item costs -9 dollars and the total cost is -117, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
Solve for x: 12x + -23 = -47
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
If each item costs 14 dollars and the total cost is -266, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-19
|
Solve: -4x + 4 < 44
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -10
|
Simplify 15/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
What is -9 × 40?
|
Multiply the numbers.
|
Multiply -9 by 40.
|
-360
|
What is 42 ÷ 21?
|
Divide evenly.
|
Divide 42 by 21.
|
2
|
What is -152 + -29?
|
Add the two numbers.
|
Add -152 and -29.
|
-181
|
What is -2 + 253?
|
Add the two numbers.
|
Add -2 and 253.
|
251
|
What is -251 + 19?
|
Add the two numbers.
|
Add -251 and 19.
|
-232
|
What is -276 - 131?
|
Subtract the second number from the first.
|
Subtract 131 from -276.
|
-407
|
Solve for x: 11x + -15 = -136
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-11
|
Solve for x: -1x + 12 = 2
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
Solve for x: -8(x + -9) = 16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
Solve for x: 8(x + -9) = -8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
Solve: -1x + 20 > 28
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -8
|
What is -3^2?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 2 times (0th power = 1).
|
9
|
Solve for x: -1x + -5 = -13
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
What is -52 × -4?
|
Multiply the numbers.
|
Multiply -52 by -4.
|
208
|
Solve for x: -1(x + -13) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
What is -109 - 274?
|
Subtract the second number from the first.
|
Subtract 274 from -109.
|
-383
|
Solve for x: -3x + 29 = 38
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-3
|
Solve: 7x + 20 > 146
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 18
|
Solve: 9x + 17 < -10
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -3
|
What is 8^5?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 5 times (0th power = 1).
|
32768
|
What is 6^3?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 3 times (0th power = 1).
|
216
|
What is 8 ÷ -2?
|
Divide evenly.
|
Divide 8 by -2.
|
-4
|
What is 91 ÷ -7?
|
Divide evenly.
|
Divide 91 by -7.
|
-13
|
Simplify -5/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
What is 23 × -54?
|
Multiply the numbers.
|
Multiply 23 by -54.
|
-1242
|
Solve for x: 8(x + -9) = -168
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
What is -399 ÷ -21?
|
Divide evenly.
|
Divide -399 by -21.
|
19
|
What is 493 ÷ 29?
|
Divide evenly.
|
Divide 493 by 29.
|
17
|
What is 7 × -40?
|
Multiply the numbers.
|
Multiply 7 by -40.
|
-280
|
Solve: -9x + 5 < 122
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -13
|
What is 4^0?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 0 times (0th power = 1).
|
1
|
If each item costs 17 dollars and the total cost is 170, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
10
|
What is -131 + 241?
|
Add the two numbers.
|
Add -131 and 241.
|
110
|
Simplify -176/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
Solve: -2x + 12 ≤ 36
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -12
|
What is 4^0?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 0 times (0th power = 1).
|
1
|
Solve for x: 1(x + 6) = 1
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
If each item costs 20 dollars and the total cost is -160, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-8
|
What is 239 + -96?
|
Add the two numbers.
|
Add 239 and -96.
|
143
|
Solve for x: 3(x + 2) = -27
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
Solve for x: 1(x + 2) = 15
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
What is -36 × 36?
|
Multiply the numbers.
|
Multiply -36 by 36.
|
-1296
|
Solve for x: -3(x + -13) = 81
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
What is 38 × -45?
|
Multiply the numbers.
|
Multiply 38 by -45.
|
-1710
|
What is -54 × -30?
|
Multiply the numbers.
|
Multiply -54 by -30.
|
1620
|
What is -102 - -143?
|
Subtract the second number from the first.
|
Subtract -143 from -102.
|
41
|
What is -182 ÷ 14?
|
Divide evenly.
|
Divide -182 by 14.
|
-13
|
What is -4^2?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 2 times (0th power = 1).
|
16
|
What is -43 × 44?
|
Multiply the numbers.
|
Multiply -43 by 44.
|
-1892
|
If each item costs 4 dollars and the total cost is -40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-10
|
What is 7^5?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 5 times (0th power = 1).
|
16807
|
Solve for x: 8x + -27 = 133
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
Solve for x: -3(x + 15) = -12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
What is 5 ÷ 5?
|
Divide evenly.
|
Divide 5 by 5.
|
1
|
What is 120 ÷ 30?
|
Divide evenly.
|
Divide 120 by 30.
|
4
|
What is 65 - 83?
|
Subtract the second number from the first.
|
Subtract 83 from 65.
|
-18
|
End of preview. Expand
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Large-Scale Mathematic Reasoning-2500000
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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