question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Solve for x: -7(x + -14) = -7
Solve a two-step equation.
Divide both sides by a, then subtract b.
15
What is 253 - 126?
Subtract the second number from the first.
Subtract 126 from 253.
127
If each item costs 9 dollars and the total cost is -72, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-8
Solve for x: 2x + -16 = -6
Solve the linear equation.
Subtract b from both sides, then divide by a.
5
Solve for x: 5(x + 6) = 5
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
Solve: -7x + -20 > -69
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 7
What is -179 - 257?
Subtract the second number from the first.
Subtract 257 from -179.
-436
Simplify 128/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
Solve: -9x + -15 ≥ 165
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -20
What is 1^0?
Evaluate the integer exponent.
Multiply 1 by itself 0 times (0th power = 1).
1
If each item costs 4 dollars and the total cost is 68, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
17
What is 30 × 52?
Multiply the numbers.
Multiply 30 by 52.
1560
Solve for x: -1x + 9 = 24
Solve the linear equation.
Subtract b from both sides, then divide by a.
-15
What is 54 - 290?
Subtract the second number from the first.
Subtract 290 from 54.
-236
Solve for x: -4(x + -9) = 72
Solve a two-step equation.
Divide both sides by a, then subtract b.
-9
What is -54 - 3?
Subtract the second number from the first.
Subtract 3 from -54.
-57
What is -209 ÷ 19?
Divide evenly.
Divide -209 by 19.
-11
What is 7^2?
Evaluate the integer exponent.
Multiply 7 by itself 2 times (0th power = 1).
49
What is -24 × -24?
Multiply the numbers.
Multiply -24 by -24.
576
Solve for x: -2(x + 12) = 2
Solve a two-step equation.
Divide both sides by a, then subtract b.
-13
Solve for x: -11x + 1 = -87
Solve the linear equation.
Subtract b from both sides, then divide by a.
8
Solve for x: 6x + -15 = -129
Solve the linear equation.
Subtract b from both sides, then divide by a.
-19
Simplify 77/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
11
What is 15 × -2?
Multiply the numbers.
Multiply 15 by -2.
-30
What is -432 ÷ 24?
Divide evenly.
Divide -432 by 24.
-18
What is 172 - 269?
Subtract the second number from the first.
Subtract 269 from 172.
-97
If each item costs 5 dollars and the total cost is 90, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
18
Solve: 1x + 2 > 14
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 12
Solve for x: -2(x + 3) = 8
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
What is 165 + 204?
Add the two numbers.
Add 165 and 204.
369
Solve: 4x + -10 < 30
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 10
Solve: 7x + -3 ≥ 81
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 12
What is 91 + 21?
Add the two numbers.
Add 91 and 21.
112
If each item costs 9 dollars and the total cost is 180, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
20
What is 232 + 248?
Add the two numbers.
Add 232 and 248.
480
Simplify -160/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-10
What is -2^3?
Evaluate the integer exponent.
Multiply -2 by itself 3 times (0th power = 1).
-8
If each item costs 16 dollars and the total cost is -240, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-15
If each item costs -6 dollars and the total cost is -174, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
29
What is -67 + 97?
Add the two numbers.
Add -67 and 97.
30
What is -391 ÷ -23?
Divide evenly.
Divide -391 by -23.
17
Simplify -27/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
What is -120 ÷ 30?
Divide evenly.
Divide -120 by 30.
-4
What is -4^5?
Evaluate the integer exponent.
Multiply -4 by itself 5 times (0th power = 1).
-1024
What is 0 ÷ 20?
Divide evenly.
Divide 0 by 20.
0
What is -32 - -235?
Subtract the second number from the first.
Subtract -235 from -32.
203
What is 6^3?
Evaluate the integer exponent.
Multiply 6 by itself 3 times (0th power = 1).
216
If each item costs 16 dollars and the total cost is 32, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
2
What is -22 - 285?
Subtract the second number from the first.
Subtract 285 from -22.
-307
What is -280 ÷ 20?
Divide evenly.
Divide -280 by 20.
-14
Simplify -48/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-6
What is -6^5?
Evaluate the integer exponent.
Multiply -6 by itself 5 times (0th power = 1).
-7776
What is 244 + 75?
Add the two numbers.
Add 244 and 75.
319
What is 51 + -155?
Add the two numbers.
Add 51 and -155.
-104
Simplify 54/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
Solve: 7x + -20 < 36
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 8
What is 4^1?
Evaluate the integer exponent.
Multiply 4 by itself 1 times (0th power = 1).
4
What is 22 × 57?
Multiply the numbers.
Multiply 22 by 57.
1254
If each item costs 15 dollars and the total cost is -285, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-19
Solve for x: 7x + 13 = -64
Solve the linear equation.
Subtract b from both sides, then divide by a.
-11
Solve for x: -6(x + -4) = -60
Solve a two-step equation.
Divide both sides by a, then subtract b.
14
If each item costs 10 dollars and the total cost is 280, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
28
Solve for x: 4(x + -1) = -40
Solve a two-step equation.
Divide both sides by a, then subtract b.
-9
Solve for x: 4(x + 7) = 20
Solve a two-step equation.
Divide both sides by a, then subtract b.
-2
Solve for x: 3x + 11 = 65
Solve the linear equation.
Subtract b from both sides, then divide by a.
18
Solve: 8x + 0 ≤ 160
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 20
Solve for x: -12x + -19 = -79
Solve the linear equation.
Subtract b from both sides, then divide by a.
5
What is 1^5?
Evaluate the integer exponent.
Multiply 1 by itself 5 times (0th power = 1).
1
Simplify -104/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
Solve: 2x + 11 ≥ -11
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -11
Solve for x: 2(x + 2) = -26
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
What is 39 × 34?
Multiply the numbers.
Multiply 39 by 34.
1326
What is 59 - -36?
Subtract the second number from the first.
Subtract -36 from 59.
95
What is -75 + 281?
Add the two numbers.
Add -75 and 281.
206
What is -21 ÷ 7?
Divide evenly.
Divide -21 by 7.
-3
What is -3^5?
Evaluate the integer exponent.
Multiply -3 by itself 5 times (0th power = 1).
-243
If each item costs 11 dollars and the total cost is 308, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
28
If each item costs -9 dollars and the total cost is -90, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
10
Solve for x: -7x + -16 = 68
Solve the linear equation.
Subtract b from both sides, then divide by a.
-12
If each item costs -8 dollars and the total cost is 120, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-15
If each item costs 14 dollars and the total cost is 182, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
13
What is 49 × 29?
Multiply the numbers.
Multiply 49 by 29.
1421
What is 130 ÷ -13?
Divide evenly.
Divide 130 by -13.
-10
What is 33 + 150?
Add the two numbers.
Add 33 and 150.
183
What is 96 ÷ 12?
Divide evenly.
Divide 96 by 12.
8
What is -147 - -261?
Subtract the second number from the first.
Subtract -261 from -147.
114
What is -551 ÷ 29?
Divide evenly.
Divide -551 by 29.
-19
Simplify 40/5
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
What is -36 × 13?
Multiply the numbers.
Multiply -36 by 13.
-468
Solve for x: -8(x + -5) = 64
Solve a two-step equation.
Divide both sides by a, then subtract b.
-3
Solve: -2x + 5 < -13
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 9
If each item costs 16 dollars and the total cost is -128, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-8
What is 102 - -92?
Subtract the second number from the first.
Subtract -92 from 102.
194
What is 24 + -159?
Add the two numbers.
Add 24 and -159.
-135
Solve for x: -2(x + 14) = 0
Solve a two-step equation.
Divide both sides by a, then subtract b.
-14
Solve for x: 9x + 12 = 75
Solve the linear equation.
Subtract b from both sides, then divide by a.
7
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.
-17
Solve: 9x + -16 > 101
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 13
Solve for x: -9x + 11 = 74
Solve the linear equation.
Subtract b from both sides, then divide by a.
-7
What is 259 + 234?
Add the two numbers.
Add 259 and 234.
493