question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
What is -6^4?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 4 times (0th power = 1).
|
1296
|
Solve for x: 1(x + 2) = 6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
Solve: 7x + -1 < 90
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 13
|
Solve for x: -10x + 1 = 151
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is 49 × 26?
|
Multiply the numbers.
|
Multiply 49 by 26.
|
1274
|
What is -4^4?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 4 times (0th power = 1).
|
256
|
What is -5^1?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 1 times (0th power = 1).
|
-5
|
If each item costs 13 dollars and the total cost is -78, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-6
|
What is -1^0?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 0 times (0th power = 1).
|
1
|
What is 133 - -202?
|
Subtract the second number from the first.
|
Subtract -202 from 133.
|
335
|
What is 209 - 157?
|
Subtract the second number from the first.
|
Subtract 157 from 209.
|
52
|
What is 176 + -131?
|
Add the two numbers.
|
Add 176 and -131.
|
45
|
Solve for x: 7(x + -11) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is -105 ÷ -15?
|
Divide evenly.
|
Divide -105 by -15.
|
7
|
Solve for x: 7x + 18 = -66
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
If each item costs 14 dollars and the total cost is 350, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
Solve: -8x + -8 ≤ 40
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -6
|
If each item costs 9 dollars and the total cost is 243, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
27
|
Solve for x: 8x + 4 = -36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
Solve: -6x + 0 > -48
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 8
|
Solve for x: -8x + 3 = 131
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-16
|
What is 5^1?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 1 times (0th power = 1).
|
5
|
What is -1^5?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 5 times (0th power = 1).
|
-1
|
What is -29 × -53?
|
Multiply the numbers.
|
Multiply -29 by -53.
|
1537
|
Simplify 21/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Solve: -4x + -12 > -48
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 9
|
What is -29 × 59?
|
Multiply the numbers.
|
Multiply -29 by 59.
|
-1711
|
What is -143 + 163?
|
Add the two numbers.
|
Add -143 and 163.
|
20
|
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
|
What is 108 ÷ -6?
|
Divide evenly.
|
Divide 108 by -6.
|
-18
|
What is -81 + -124?
|
Add the two numbers.
|
Add -81 and -124.
|
-205
|
What is -80 ÷ 10?
|
Divide evenly.
|
Divide -80 by 10.
|
-8
|
Solve: 10x + 4 ≥ -146
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -15
|
Simplify 140/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
Simplify 64/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
What is -27 - 217?
|
Subtract the second number from the first.
|
Subtract 217 from -27.
|
-244
|
Simplify 72/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
If each item costs 17 dollars and the total cost is -255, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
Solve for x: 6x + -1 = 95
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
If each item costs 16 dollars and the total cost is -288, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
What is -135 ÷ 9?
|
Divide evenly.
|
Divide -135 by 9.
|
-15
|
Solve for x: 8x + -27 = -3
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
What is -298 - 258?
|
Subtract the second number from the first.
|
Subtract 258 from -298.
|
-556
|
Solve: -2x + 19 ≥ 33
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -7
|
What is 153 ÷ 17?
|
Divide evenly.
|
Divide 153 by 17.
|
9
|
Simplify 30/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Solve for x: 12x + 20 = 236
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
What is -78 ÷ 6?
|
Divide evenly.
|
Divide -78 by 6.
|
-13
|
What is -32 × 1?
|
Multiply the numbers.
|
Multiply -32 by 1.
|
-32
|
Simplify -168/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
What is -111 - 142?
|
Subtract the second number from the first.
|
Subtract 142 from -111.
|
-253
|
Solve for x: -7x + -7 = 77
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
If each item costs 19 dollars and the total cost is 266, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
14
|
What is 31 + -69?
|
Add the two numbers.
|
Add 31 and -69.
|
-38
|
Solve for x: 9x + -29 = 25
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
Solve for x: 5(x + 4) = 75
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
Simplify 8/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
Solve for x: -6(x + -4) = 114
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
What is -2^4?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 4 times (0th power = 1).
|
16
|
What is -4 × -4?
|
Multiply the numbers.
|
Multiply -4 by -4.
|
16
|
Solve for x: 5(x + 13) = 125
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Solve for x: -1(x + -5) = 4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
What is 126 ÷ 18?
|
Divide evenly.
|
Divide 126 by 18.
|
7
|
What is 312 ÷ -24?
|
Divide evenly.
|
Divide 312 by -24.
|
-13
|
Solve for x: 7x + 6 = -57
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
What is 0 ÷ 10?
|
Divide evenly.
|
Divide 0 by 10.
|
0
|
What is -195 - -48?
|
Subtract the second number from the first.
|
Subtract -48 from -195.
|
-147
|
What is -44 × -54?
|
Multiply the numbers.
|
Multiply -44 by -54.
|
2376
|
If each item costs 19 dollars and the total cost is 133, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
What is 3^3?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 3 times (0th power = 1).
|
27
|
What is -1^3?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 3 times (0th power = 1).
|
-1
|
What is -448 ÷ 28?
|
Divide evenly.
|
Divide -448 by 28.
|
-16
|
Solve for x: -9x + 0 = -108
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
12
|
Simplify 0/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
Solve for x: -11x + -28 = -237
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
Solve for x: -7(x + 0) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
What is 256 - 178?
|
Subtract the second number from the first.
|
Subtract 178 from 256.
|
78
|
Simplify -36/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
What is -252 - -215?
|
Subtract the second number from the first.
|
Subtract -215 from -252.
|
-37
|
What is 143 + 45?
|
Add the two numbers.
|
Add 143 and 45.
|
188
|
Solve for x: -1x + 2 = -8
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
Solve for x: -5(x + -1) = 5
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
What is 188 + -85?
|
Add the two numbers.
|
Add 188 and -85.
|
103
|
Simplify -25/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
Solve for x: -7x + 29 = 127
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
What is -37 × -40?
|
Multiply the numbers.
|
Multiply -37 by -40.
|
1480
|
What is -297 + 38?
|
Add the two numbers.
|
Add -297 and 38.
|
-259
|
What is -32 × 39?
|
Multiply the numbers.
|
Multiply -32 by 39.
|
-1248
|
What is 198 ÷ 18?
|
Divide evenly.
|
Divide 198 by 18.
|
11
|
Solve for x: -8x + 7 = -49
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
Solve for x: -5(x + 15) = -140
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
If each item costs -6 dollars and the total cost is 42, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
What is 4^4?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 4 times (0th power = 1).
|
256
|
Simplify 135/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
What is 1^2?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 2 times (0th power = 1).
|
1
|
Solve for x: 5x + 18 = 33
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
What is 2 + 226?
|
Add the two numbers.
|
Add 2 and 226.
|
228
|
Simplify 40/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
What is 28 × 6?
|
Multiply the numbers.
|
Multiply 28 by 6.
|
168
|
Simplify 54/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
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