question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
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
Solve for x: -6(x + -11) = 90
Solve a two-step equation.
Divide both sides by a, then subtract b.
-4
Solve for x: 5(x + 12) = 135
Solve a two-step equation.
Divide both sides by a, then subtract b.
15
Solve for x: -12x + 30 = 78
Solve the linear equation.
Subtract b from both sides, then divide by a.
-4
If each item costs 14 dollars and the total cost is 336, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
24
If each item costs -8 dollars and the total cost is -128, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
16
What is -46 × 49?
Multiply the numbers.
Multiply -46 by 49.
-2254
Simplify -48/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
Solve: -10x + 3 ≤ -197
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 20
Simplify -16/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
Simplify -20/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-5
What is -257 - -92?
Subtract the second number from the first.
Subtract -92 from -257.
-165
Solve for x: -7x + 26 = 159
Solve the linear equation.
Subtract b from both sides, then divide by a.
-19
Simplify 44/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
11
Solve for x: -5(x + -9) = 75
Solve a two-step equation.
Divide both sides by a, then subtract b.
-6
Solve for x: -4(x + 14) = -40
Solve a two-step equation.
Divide both sides by a, then subtract b.
-4
Simplify 12/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
2
Simplify -18/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
What is 121 - -139?
Subtract the second number from the first.
Subtract -139 from 121.
260
If each item costs 7 dollars and the total cost is -133, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-19
What is -7^2?
Evaluate the integer exponent.
Multiply -7 by itself 2 times (0th power = 1).
49
What is 4^1?
Evaluate the integer exponent.
Multiply 4 by itself 1 times (0th power = 1).
4
Solve for x: -2(x + -9) = 6
Solve a two-step equation.
Divide both sides by a, then subtract b.
6
Solve for x: 3(x + 12) = 30
Solve a two-step equation.
Divide both sides by a, then subtract b.
-2
Simplify 0/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
What is 52 × -15?
Multiply the numbers.
Multiply 52 by -15.
-780
What is 10 × 23?
Multiply the numbers.
Multiply 10 by 23.
230
What is -286 + 152?
Add the two numbers.
Add -286 and 152.
-134
What is 266 - 206?
Subtract the second number from the first.
Subtract 206 from 266.
60
Solve: -6x + -3 > -87
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 14
If each item costs -2 dollars and the total cost is -36, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
18
What is 28 × 53?
Multiply the numbers.
Multiply 28 by 53.
1484
Solve for x: 8x + 11 = 107
Solve the linear equation.
Subtract b from both sides, then divide by a.
12
Solve for x: 4(x + 8) = 24
Solve a two-step equation.
Divide both sides by a, then subtract b.
-2
Solve: 7x + 0 < -140
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -20
Simplify -42/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-6
If each item costs 1 dollars and the total cost is 8, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
8
What is 102 + 198?
Add the two numbers.
Add 102 and 198.
300
Solve for x: 7x + -4 = 122
Solve the linear equation.
Subtract b from both sides, then divide by a.
18
What is -6^4?
Evaluate the integer exponent.
Multiply -6 by itself 4 times (0th power = 1).
1296
What is -130 + -89?
Add the two numbers.
Add -130 and -89.
-219
If each item costs 1 dollars and the total cost is -7, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-7
Solve: -3x + 13 > -38
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 17
Simplify -40/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-10
What is 162 - -142?
Subtract the second number from the first.
Subtract -142 from 162.
304
What is -216 - -272?
Subtract the second number from the first.
Subtract -272 from -216.
56
Solve: -7x + -3 > 102
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -15
What is -5^4?
Evaluate the integer exponent.
Multiply -5 by itself 4 times (0th power = 1).
625
Solve: 7x + -14 < -112
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -14
If each item costs 12 dollars and the total cost is 252, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
21
Solve for x: 8(x + 0) = 16
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
Simplify 39/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
3
What is -55 - 284?
Subtract the second number from the first.
Subtract 284 from -55.
-339
What is -40 + -214?
Add the two numbers.
Add -40 and -214.
-254
What is -59 × -38?
Multiply the numbers.
Multiply -59 by -38.
2242
What is 34 × 25?
Multiply the numbers.
Multiply 34 by 25.
850
Simplify -66/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-6
Simplify -36/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-9
If each item costs -8 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
0
What is -272 - 182?
Subtract the second number from the first.
Subtract 182 from -272.
-454
What is -137 - 255?
Subtract the second number from the first.
Subtract 255 from -137.
-392
What is 112 - 144?
Subtract the second number from the first.
Subtract 144 from 112.
-32
What is -28 × 34?
Multiply the numbers.
Multiply -28 by 34.
-952
What is 26 - 240?
Subtract the second number from the first.
Subtract 240 from 26.
-214
Solve for x: 9x + 26 = 17
Solve the linear equation.
Subtract b from both sides, then divide by a.
-1
What is -167 + -149?
Add the two numbers.
Add -167 and -149.
-316
What is -2^1?
Evaluate the integer exponent.
Multiply -2 by itself 1 times (0th power = 1).
-2
Solve: 6x + -12 < 36
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 8
Solve for x: -1(x + 15) = -14
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
Solve: 4x + 0 ≤ -68
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -17
Solve for x: -7(x + -2) = -14
Solve a two-step equation.
Divide both sides by a, then subtract b.
4
Solve: 7x + 0 ≤ 28
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 4
What is -2^5?
Evaluate the integer exponent.
Multiply -2 by itself 5 times (0th power = 1).
-32
What is 272 - 157?
Subtract the second number from the first.
Subtract 157 from 272.
115
Solve: -4x + -9 < 51
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -15
What is 66 ÷ -11?
Divide evenly.
Divide 66 by -11.
-6
What is -253 - -4?
Subtract the second number from the first.
Subtract -4 from -253.
-249
What is 2^4?
Evaluate the integer exponent.
Multiply 2 by itself 4 times (0th power = 1).
16
Solve for x: -3x + -8 = -59
Solve the linear equation.
Subtract b from both sides, then divide by a.
17
What is 8^3?
Evaluate the integer exponent.
Multiply 8 by itself 3 times (0th power = 1).
512
Simplify 0/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
Simplify -3/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
Solve for x: -8(x + -5) = 88
Solve a two-step equation.
Divide both sides by a, then subtract b.
-6
Solve for x: 4(x + -12) = -104
Solve a two-step equation.
Divide both sides by a, then subtract b.
-14
Simplify -104/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
What is 92 ÷ 23?
Divide evenly.
Divide 92 by 23.
4
What is -39 × -60?
Multiply the numbers.
Multiply -39 by -60.
2340
Simplify -192/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-12
What is 57 × 45?
Multiply the numbers.
Multiply 57 by 45.
2565
What is -108 ÷ -18?
Divide evenly.
Divide -108 by -18.
6
Solve: -9x + -15 > -78
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 7
Solve for x: 4(x + 5) = 36
Solve a two-step equation.
Divide both sides by a, then subtract b.
4
Solve for x: 7x + -5 = -5
Solve the linear equation.
Subtract b from both sides, then divide by a.
0
Solve: 10x + 7 < 67
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 6
What is -93 - -106?
Subtract the second number from the first.
Subtract -106 from -93.
13
What is 50 × -57?
Multiply the numbers.
Multiply 50 by -57.
-2850
What is 0 ÷ 22?
Divide evenly.
Divide 0 by 22.
0
What is -92 - 20?
Subtract the second number from the first.
Subtract 20 from -92.
-112
Simplify -144/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-9
Simplify -42/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3