question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
What is -44 × 55?
|
Multiply the numbers.
|
Multiply -44 by 55.
|
-2420
|
Simplify -88/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
Solve for x: 10x + 6 = -44
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
Solve: -4x + -17 ≤ -33
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 4
|
What is -98 ÷ 7?
|
Divide evenly.
|
Divide -98 by 7.
|
-14
|
What is -85 ÷ -5?
|
Divide evenly.
|
Divide -85 by -5.
|
17
|
What is 1^1?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 1 times (0th power = 1).
|
1
|
What is 256 - 32?
|
Subtract the second number from the first.
|
Subtract 32 from 256.
|
224
|
What is 14 ÷ 14?
|
Divide evenly.
|
Divide 14 by 14.
|
1
|
Solve: -4x + 11 ≤ -49
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 15
|
Solve for x: 2x + 11 = 19
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
Solve for x: 8x + 20 = 84
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
What is 52 × 55?
|
Multiply the numbers.
|
Multiply 52 by 55.
|
2860
|
Solve for x: 6x + -21 = -9
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
What is -35 - 254?
|
Subtract the second number from the first.
|
Subtract 254 from -35.
|
-289
|
Solve for x: -5x + 10 = 85
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
Solve: 6x + 13 > 85
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 12
|
If each item costs -3 dollars and the total cost is -6, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
2
|
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
|
What is -4^5?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 5 times (0th power = 1).
|
-1024
|
Simplify 8/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
What is 8^1?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 1 times (0th power = 1).
|
8
|
What is -319 ÷ 29?
|
Divide evenly.
|
Divide -319 by 29.
|
-11
|
Simplify 16/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
What is -1^4?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 4 times (0th power = 1).
|
1
|
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 for x: -2(x + 9) = -26
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
What is 290 - -171?
|
Subtract the second number from the first.
|
Subtract -171 from 290.
|
461
|
What is 6^5?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 5 times (0th power = 1).
|
7776
|
What is 70 - 258?
|
Subtract the second number from the first.
|
Subtract 258 from 70.
|
-188
|
What is 1^2?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 2 times (0th power = 1).
|
1
|
Solve for x: 5x + -6 = -31
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
What is -120 ÷ 10?
|
Divide evenly.
|
Divide -120 by 10.
|
-12
|
Simplify -7/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
What is 170 ÷ -17?
|
Divide evenly.
|
Divide 170 by -17.
|
-10
|
What is -106 - -282?
|
Subtract the second number from the first.
|
Subtract -282 from -106.
|
176
|
Solve: 2x + 0 ≥ 30
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 15
|
If each item costs 20 dollars and the total cost is 440, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
22
|
Solve for x: -6(x + -13) = 156
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
Simplify 110/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
Solve for x: 1(x + 0) = 8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
What is 203 - 281?
|
Subtract the second number from the first.
|
Subtract 281 from 203.
|
-78
|
Solve for x: 8x + -7 = 25
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
If each item costs -5 dollars and the total cost is -35, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
What is -5^3?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 3 times (0th power = 1).
|
-125
|
What is -3^4?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 4 times (0th power = 1).
|
81
|
If each item costs 11 dollars and the total cost is -143, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-13
|
Solve for x: -6(x + 2) = -84
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Simplify 90/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Simplify -40/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
Solve for x: -5(x + -13) = 10
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is 89 - -198?
|
Subtract the second number from the first.
|
Subtract -198 from 89.
|
287
|
What is 5 × -22?
|
Multiply the numbers.
|
Multiply 5 by -22.
|
-110
|
Solve for x: -10x + 9 = 159
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is 230 + 57?
|
Add the two numbers.
|
Add 230 and 57.
|
287
|
What is 59 + -255?
|
Add the two numbers.
|
Add 59 and -255.
|
-196
|
Solve for x: 12x + -11 = 49
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
5
|
Solve for x: 12x + -26 = 94
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is -22 ÷ -2?
|
Divide evenly.
|
Divide -22 by -2.
|
11
|
Solve for x: 9x + 12 = 174
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
What is 6^5?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 5 times (0th power = 1).
|
7776
|
What is -48 × -4?
|
Multiply the numbers.
|
Multiply -48 by -4.
|
192
|
What is -167 + -144?
|
Add the two numbers.
|
Add -167 and -144.
|
-311
|
What is -29 + 105?
|
Add the two numbers.
|
Add -29 and 105.
|
76
|
Solve for x: -3(x + 13) = -81
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
What is -56 ÷ -28?
|
Divide evenly.
|
Divide -56 by -28.
|
2
|
Solve for x: 6x + 17 = 29
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
What is 2^5?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 5 times (0th power = 1).
|
32
|
What is -42 ÷ -6?
|
Divide evenly.
|
Divide -42 by -6.
|
7
|
If each item costs 7 dollars and the total cost is 203, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
29
|
Solve for x: 3(x + 13) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
What is 24 - 92?
|
Subtract the second number from the first.
|
Subtract 92 from 24.
|
-68
|
Solve for x: 5x + 15 = 105
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
Solve for x: 2(x + 1) = -28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
What is 192 - -132?
|
Subtract the second number from the first.
|
Subtract -132 from 192.
|
324
|
Solve for x: 2(x + -4) = 20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
What is 287 - -150?
|
Subtract the second number from the first.
|
Subtract -150 from 287.
|
437
|
Solve: -10x + 17 < 137
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -12
|
Solve for x: 11x + -19 = 157
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
What is -272 - 110?
|
Subtract the second number from the first.
|
Subtract 110 from -272.
|
-382
|
What is 286 - -73?
|
Subtract the second number from the first.
|
Subtract -73 from 286.
|
359
|
What is 7^1?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 1 times (0th power = 1).
|
7
|
What is 18 ÷ -18?
|
Divide evenly.
|
Divide 18 by -18.
|
-1
|
Solve for x: 4x + 11 = -61
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is -103 + 172?
|
Add the two numbers.
|
Add -103 and 172.
|
69
|
Solve for x: -4(x + 4) = -8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
Solve for x: -12x + -28 = 8
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-3
|
Solve: -4x + -3 ≤ 29
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -8
|
Solve: 9x + 0 < -81
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -9
|
Simplify -48/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is -1^0?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 0 times (0th power = 1).
|
1
|
What is 107 + 89?
|
Add the two numbers.
|
Add 107 and 89.
|
196
|
What is 292 - 11?
|
Subtract the second number from the first.
|
Subtract 11 from 292.
|
281
|
What is 25 × 2?
|
Multiply the numbers.
|
Multiply 25 by 2.
|
50
|
What is 1^1?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 1 times (0th power = 1).
|
1
|
Solve for x: -8(x + 5) = -136
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Solve for x: 2x + -7 = 31
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
Solve for x: -2(x + -8) = 18
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
Solve for x: -5x + 1 = -59
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
12
|
End of preview. Expand
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Large-Scale Mathematic Reasoning-300000
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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