question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
What is -2^5?
Evaluate the integer exponent.
Multiply -2 by itself 5 times (0th power = 1).
-32
What is -36 ÷ -2?
Divide evenly.
Divide -36 by -2.
18
What is -233 + -195?
Add the two numbers.
Add -233 and -195.
-428
If each item costs 2 dollars and the total cost is 8, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
4
What is 22 ÷ 22?
Divide evenly.
Divide 22 by 22.
1
What is 6^5?
Evaluate the integer exponent.
Multiply 6 by itself 5 times (0th power = 1).
7776
Solve: -5x + 20 > 75
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -11
Simplify 140/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
10
Solve: 1x + -10 > -29
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -19
Solve: 9x + 1 < 181
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 20
What is 6^5?
Evaluate the integer exponent.
Multiply 6 by itself 5 times (0th power = 1).
7776
What is 17 × -48?
Multiply the numbers.
Multiply 17 by -48.
-816
What is -156 - -155?
Subtract the second number from the first.
Subtract -155 from -156.
-1
Solve for x: -7(x + -12) = -14
Solve a two-step equation.
Divide both sides by a, then subtract b.
14
Solve for x: 6x + 23 = -1
Solve the linear equation.
Subtract b from both sides, then divide by a.
-4
What is 75 ÷ 25?
Divide evenly.
Divide 75 by 25.
3
If each item costs 20 dollars and the total cost is 340, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
17
Solve for x: 2(x + -1) = -22
Solve a two-step equation.
Divide both sides by a, then subtract b.
-10
What is -51 × 24?
Multiply the numbers.
Multiply -51 by 24.
-1224
Simplify -40/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-5
What is -90 + 80?
Add the two numbers.
Add -90 and 80.
-10
Solve for x: 3(x + 0) = -9
Solve a two-step equation.
Divide both sides by a, then subtract b.
-3
Solve: 7x + 0 ≤ -119
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -17
If each item costs 20 dollars and the total cost is 60, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
3
What is 22 × 37?
Multiply the numbers.
Multiply 22 by 37.
814
What is -3^4?
Evaluate the integer exponent.
Multiply -3 by itself 4 times (0th power = 1).
81
What is 7^0?
Evaluate the integer exponent.
Multiply 7 by itself 0 times (0th power = 1).
1
Solve for x: -4x + 8 = -36
Solve the linear equation.
Subtract b from both sides, then divide by a.
11
Solve for x: 11x + -23 = 186
Solve the linear equation.
Subtract b from both sides, then divide by a.
19
What is 162 ÷ 9?
Divide evenly.
Divide 162 by 9.
18
What is 107 - -180?
Subtract the second number from the first.
Subtract -180 from 107.
287
What is -6^4?
Evaluate the integer exponent.
Multiply -6 by itself 4 times (0th power = 1).
1296
Solve: 9x + 15 > 123
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 12
What is 185 - -140?
Subtract the second number from the first.
Subtract -140 from 185.
325
If each item costs 0 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-18
What is 7^3?
Evaluate the integer exponent.
Multiply 7 by itself 3 times (0th power = 1).
343
Solve for x: 2(x + 2) = 8
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
What is 3^4?
Evaluate the integer exponent.
Multiply 3 by itself 4 times (0th power = 1).
81
What is 6^0?
Evaluate the integer exponent.
Multiply 6 by itself 0 times (0th power = 1).
1
What is 40 ÷ -10?
Divide evenly.
Divide 40 by -10.
-4
Simplify -32/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-4
Simplify -40/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-5
Simplify 24/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
12
Solve for x: -11x + -5 = 215
Solve the linear equation.
Subtract b from both sides, then divide by a.
-20
Solve for x: 3(x + 1) = -24
Solve a two-step equation.
Divide both sides by a, then subtract b.
-9
What is 12 ÷ -12?
Divide evenly.
Divide 12 by -12.
-1
Solve for x: -11x + -18 = -29
Solve the linear equation.
Subtract b from both sides, then divide by a.
1
What is 286 ÷ 22?
Divide evenly.
Divide 286 by 22.
13
What is 57 × 35?
Multiply the numbers.
Multiply 57 by 35.
1995
What is -128 - -180?
Subtract the second number from the first.
Subtract -180 from -128.
52
Solve for x: -2x + 7 = -33
Solve the linear equation.
Subtract b from both sides, then divide by a.
20
Solve for x: -4x + -22 = 18
Solve the linear equation.
Subtract b from both sides, then divide by a.
-10
Solve: 1x + -6 < -10
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -4
What is 60 ÷ -15?
Divide evenly.
Divide 60 by -15.
-4
If each item costs 10 dollars and the total cost is 270, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
27
What is 7^0?
Evaluate the integer exponent.
Multiply 7 by itself 0 times (0th power = 1).
1
If each item costs 2 dollars and the total cost is 34, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
17
What is 2^1?
Evaluate the integer exponent.
Multiply 2 by itself 1 times (0th power = 1).
2
What is -87 ÷ 29?
Divide evenly.
Divide -87 by 29.
-3
What is 299 + -14?
Add the two numbers.
Add 299 and -14.
285
What is -27 + 229?
Add the two numbers.
Add -27 and 229.
202
If each item costs -5 dollars and the total cost is 55, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-11
Solve for x: -9x + -30 = -21
Solve the linear equation.
Subtract b from both sides, then divide by a.
-1
Solve for x: -6(x + -4) = 30
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
Solve: -7x + 0 ≤ -14
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 2
Solve for x: -10x + -9 = -39
Solve the linear equation.
Subtract b from both sides, then divide by a.
3
What is -32 + -108?
Add the two numbers.
Add -32 and -108.
-140
What is 2^4?
Evaluate the integer exponent.
Multiply 2 by itself 4 times (0th power = 1).
16
Simplify -24/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-12
What is 64 - 30?
Subtract the second number from the first.
Subtract 30 from 64.
34
What is 7^4?
Evaluate the integer exponent.
Multiply 7 by itself 4 times (0th power = 1).
2401
Solve for x: 5x + 9 = -71
Solve the linear equation.
Subtract b from both sides, then divide by a.
-16
What is -45 × 42?
Multiply the numbers.
Multiply -45 by 42.
-1890
What is -56 ÷ 14?
Divide evenly.
Divide -56 by 14.
-4
What is 172 + 36?
Add the two numbers.
Add 172 and 36.
208
What is 155 - 224?
Subtract the second number from the first.
Subtract 224 from 155.
-69
What is 113 - 44?
Subtract the second number from the first.
Subtract 44 from 113.
69
Simplify -48/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
If each item costs 2 dollars and the total cost is 58, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
29
Simplify 90/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
What is -50 - 295?
Subtract the second number from the first.
Subtract 295 from -50.
-345
If each item costs 1 dollars and the total cost is -16, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-16
What is -216 + -291?
Add the two numbers.
Add -216 and -291.
-507
What is 1^3?
Evaluate the integer exponent.
Multiply 1 by itself 3 times (0th power = 1).
1
What is 57 × -40?
Multiply the numbers.
Multiply 57 by -40.
-2280
What is 265 - -81?
Subtract the second number from the first.
Subtract -81 from 265.
346
What is 4^1?
Evaluate the integer exponent.
Multiply 4 by itself 1 times (0th power = 1).
4
What is 450 ÷ 30?
Divide evenly.
Divide 450 by 30.
15
Solve for x: 3(x + 12) = 6
Solve a two-step equation.
Divide both sides by a, then subtract b.
-10
Solve for x: -6(x + -7) = 66
Solve a two-step equation.
Divide both sides by a, then subtract b.
-4
What is -179 - -101?
Subtract the second number from the first.
Subtract -101 from -179.
-78
If each item costs 13 dollars and the total cost is 91, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
7
Solve for x: 4(x + 8) = -12
Solve a two-step equation.
Divide both sides by a, then subtract b.
-11
What is -8^5?
Evaluate the integer exponent.
Multiply -8 by itself 5 times (0th power = 1).
-32768
What is -25 × -29?
Multiply the numbers.
Multiply -25 by -29.
725
What is -264 - -109?
Subtract the second number from the first.
Subtract -109 from -264.
-155
Solve for x: -7(x + -11) = 84
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
If each item costs 8 dollars and the total cost is 200, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
25
What is 7^4?
Evaluate the integer exponent.
Multiply 7 by itself 4 times (0th power = 1).
2401
Simplify -90/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-9