question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Simplify 0/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
If each item costs 1 dollars and the total cost is 21, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
21
|
What is -5^4?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 4 times (0th power = 1).
|
625
|
What is 6^4?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 4 times (0th power = 1).
|
1296
|
Solve: -1x + 8 > 10
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -2
|
What is 45 ÷ 5?
|
Divide evenly.
|
Divide 45 by 5.
|
9
|
Solve: -8x + -1 < -97
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 12
|
Solve for x: 5x + -13 = -18
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-1
|
What is -390 ÷ -26?
|
Divide evenly.
|
Divide -390 by -26.
|
15
|
What is 54 + -294?
|
Add the two numbers.
|
Add 54 and -294.
|
-240
|
Solve for x: -8x + 0 = 40
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
Solve: 3x + -20 < 16
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 12
|
If each item costs 2 dollars and the total cost is -38, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-19
|
What is 90 ÷ 5?
|
Divide evenly.
|
Divide 90 by 5.
|
18
|
What is -180 + 140?
|
Add the two numbers.
|
Add -180 and 140.
|
-40
|
Solve for x: -1x + 24 = 36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
Solve for x: 6(x + -15) = -30
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
If each item costs -5 dollars and the total cost is -120, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
24
|
If each item costs -4 dollars and the total cost is 36, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
What is 6^0?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 0 times (0th power = 1).
|
1
|
Solve: 1x + 17 > 9
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -8
|
What is -442 ÷ 26?
|
Divide evenly.
|
Divide -442 by 26.
|
-17
|
What is 107 - 243?
|
Subtract the second number from the first.
|
Subtract 243 from 107.
|
-136
|
Solve: -7x + 2 < -124
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 18
|
Solve for x: 4x + -2 = -58
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
What is -6^2?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 2 times (0th power = 1).
|
36
|
What is 4^5?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 5 times (0th power = 1).
|
1024
|
What is 1^0?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 0 times (0th power = 1).
|
1
|
What is -4^5?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 5 times (0th power = 1).
|
-1024
|
What is 153 - -102?
|
Subtract the second number from the first.
|
Subtract -102 from 153.
|
255
|
What is 251 - 173?
|
Subtract the second number from the first.
|
Subtract 173 from 251.
|
78
|
If each item costs 10 dollars and the total cost is -10, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-1
|
If each item costs -3 dollars and the total cost is -69, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
What is -40 ÷ -4?
|
Divide evenly.
|
Divide -40 by -4.
|
10
|
What is 157 + 37?
|
Add the two numbers.
|
Add 157 and 37.
|
194
|
Solve: 5x + 2 ≤ -43
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -9
|
What is -456 ÷ -24?
|
Divide evenly.
|
Divide -456 by -24.
|
19
|
What is -261 ÷ 29?
|
Divide evenly.
|
Divide -261 by 29.
|
-9
|
What is 116 - -100?
|
Subtract the second number from the first.
|
Subtract -100 from 116.
|
216
|
What is 176 + -162?
|
Add the two numbers.
|
Add 176 and -162.
|
14
|
Solve for x: 5x + -14 = -99
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Solve: 7x + 9 < 93
|
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 -72, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
24
|
Solve for x: 5(x + 9) = 20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
What is -94 - -73?
|
Subtract the second number from the first.
|
Subtract -73 from -94.
|
-21
|
Solve for x: 3(x + 15) = 84
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
What is 54 × 21?
|
Multiply the numbers.
|
Multiply 54 by 21.
|
1134
|
Simplify 36/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
Solve for x: -6(x + -13) = 72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
What is -16 - 271?
|
Subtract the second number from the first.
|
Subtract 271 from -16.
|
-287
|
What is 52 × 19?
|
Multiply the numbers.
|
Multiply 52 by 19.
|
988
|
What is -208 - 114?
|
Subtract the second number from the first.
|
Subtract 114 from -208.
|
-322
|
Solve: -5x + -3 ≥ 2
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -1
|
Solve for x: -8(x + 12) = -176
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
Solve for x: 8x + 11 = -149
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-20
|
Simplify 128/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
If each item costs 18 dollars and the total cost is -126, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
What is 4 × -28?
|
Multiply the numbers.
|
Multiply 4 by -28.
|
-112
|
Solve for x: -5(x + 7) = -110
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is 41 × -19?
|
Multiply the numbers.
|
Multiply 41 by -19.
|
-779
|
What is 13 × -39?
|
Multiply the numbers.
|
Multiply 13 by -39.
|
-507
|
Solve for x: 4x + 12 = -36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
Simplify 40/8
|
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 36, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
What is 26 ÷ 26?
|
Divide evenly.
|
Divide 26 by 26.
|
1
|
What is -60 - 206?
|
Subtract the second number from the first.
|
Subtract 206 from -60.
|
-266
|
Simplify -12/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
If each item costs 8 dollars and the total cost is 152, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
19
|
If each item costs 1 dollars and the total cost is 10, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
10
|
Solve: 9x + 1 < 19
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 2
|
Simplify -13/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
What is 1^2?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 2 times (0th power = 1).
|
1
|
What is -360 ÷ 24?
|
Divide evenly.
|
Divide -360 by 24.
|
-15
|
What is -31 - 45?
|
Subtract the second number from the first.
|
Subtract 45 from -31.
|
-76
|
Simplify 165/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
If each item costs -10 dollars and the total cost is -210, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
21
|
What is 37 × -10?
|
Multiply the numbers.
|
Multiply 37 by -10.
|
-370
|
Solve for x: -11x + -9 = -229
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
What is 221 ÷ -13?
|
Divide evenly.
|
Divide 221 by -13.
|
-17
|
Solve for x: 11x + 25 = 36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
1
|
Solve for x: -1(x + 14) = -5
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Simplify -66/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
Simplify 64/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
Solve for x: -6(x + 14) = -66
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
What is 272 - -276?
|
Subtract the second number from the first.
|
Subtract -276 from 272.
|
548
|
What is 188 - 182?
|
Subtract the second number from the first.
|
Subtract 182 from 188.
|
6
|
Simplify 4/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
Simplify 75/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is 6^4?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 4 times (0th power = 1).
|
1296
|
Solve for x: 3(x + -8) = -33
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
What is 105 - -168?
|
Subtract the second number from the first.
|
Subtract -168 from 105.
|
273
|
What is 0 ÷ -8?
|
Divide evenly.
|
Divide 0 by -8.
|
0
|
What is 38 - 85?
|
Subtract the second number from the first.
|
Subtract 85 from 38.
|
-47
|
Solve: -4x + 18 ≥ 2
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 4
|
What is -1 × 44?
|
Multiply the numbers.
|
Multiply -1 by 44.
|
-44
|
What is 132 - 230?
|
Subtract the second number from the first.
|
Subtract 230 from 132.
|
-98
|
What is 68 - -276?
|
Subtract the second number from the first.
|
Subtract -276 from 68.
|
344
|
What is -88 - 70?
|
Subtract the second number from the first.
|
Subtract 70 from -88.
|
-158
|
What is -4^3?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 3 times (0th power = 1).
|
-64
|
What is -212 + 85?
|
Add the two numbers.
|
Add -212 and 85.
|
-127
|
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