question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
If each item costs 7 dollars and the total cost is -63, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
Solve for x: -3(x + 4) = -18
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
2
|
What is -259 + -10?
|
Add the two numbers.
|
Add -259 and -10.
|
-269
|
What is 86 + 252?
|
Add the two numbers.
|
Add 86 and 252.
|
338
|
What is -102 - 287?
|
Subtract the second number from the first.
|
Subtract 287 from -102.
|
-389
|
Solve for x: -7(x + 12) = -112
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
What is 44 × 11?
|
Multiply the numbers.
|
Multiply 44 by 11.
|
484
|
Simplify 176/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
Solve for x: -2x + 17 = 27
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
What is 8^3?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 3 times (0th power = 1).
|
512
|
If each item costs 16 dollars and the total cost is -208, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-13
|
Solve for x: 12x + 14 = -202
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
Solve for x: 7x + 19 = 89
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is -26 × 48?
|
Multiply the numbers.
|
Multiply -26 by 48.
|
-1248
|
Solve for x: 7(x + 11) = 7
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
What is 18 - -20?
|
Subtract the second number from the first.
|
Subtract -20 from 18.
|
38
|
What is -37 × 27?
|
Multiply the numbers.
|
Multiply -37 by 27.
|
-999
|
Simplify 49/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
Solve for x: -3x + 10 = -41
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
What is -198 - -151?
|
Subtract the second number from the first.
|
Subtract -151 from -198.
|
-47
|
Solve for x: -4x + -27 = -91
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
What is -16 × 7?
|
Multiply the numbers.
|
Multiply -16 by 7.
|
-112
|
What is -99 - -269?
|
Subtract the second number from the first.
|
Subtract -269 from -99.
|
170
|
What is 4^1?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 1 times (0th power = 1).
|
4
|
What is 213 - 268?
|
Subtract the second number from the first.
|
Subtract 268 from 213.
|
-55
|
What is 133 ÷ 19?
|
Divide evenly.
|
Divide 133 by 19.
|
7
|
What is 7^1?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 1 times (0th power = 1).
|
7
|
If each item costs 8 dollars and the total cost is -40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-5
|
What is 252 ÷ 21?
|
Divide evenly.
|
Divide 252 by 21.
|
12
|
What is -111 + 53?
|
Add the two numbers.
|
Add -111 and 53.
|
-58
|
Solve: 7x + -18 ≤ -95
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -11
|
Solve for x: -7(x + -11) = 49
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
Solve: -8x + -17 ≥ -105
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 11
|
What is 3^4?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 4 times (0th power = 1).
|
81
|
Solve: 8x + -5 ≥ -77
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -9
|
Solve for x: -3x + 30 = 57
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
What is -21 × 5?
|
Multiply the numbers.
|
Multiply -21 by 5.
|
-105
|
Solve for x: -11x + 6 = 171
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is 374 ÷ 22?
|
Divide evenly.
|
Divide 374 by 22.
|
17
|
Solve: -4x + -5 ≥ -69
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 16
|
Solve for x: -1(x + -2) = -4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
Solve for x: -2(x + -5) = -10
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
Simplify -10/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
Solve for x: -4(x + 15) = -32
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
What is 30 ÷ 6?
|
Divide evenly.
|
Divide 30 by 6.
|
5
|
What is 270 ÷ 15?
|
Divide evenly.
|
Divide 270 by 15.
|
18
|
What is 51 + -256?
|
Add the two numbers.
|
Add 51 and -256.
|
-205
|
Solve for x: -7(x + 7) = -42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
What is -271 - -251?
|
Subtract the second number from the first.
|
Subtract -251 from -271.
|
-20
|
What is -264 - 39?
|
Subtract the second number from the first.
|
Subtract 39 from -264.
|
-303
|
What is 224 + -35?
|
Add the two numbers.
|
Add 224 and -35.
|
189
|
If each item costs 11 dollars and the total cost is 22, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
2
|
Solve for x: 6x + -10 = 14
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
What is -135 ÷ 27?
|
Divide evenly.
|
Divide -135 by 27.
|
-5
|
Solve for x: -11x + 30 = 30
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
Solve: -3x + -2 > 16
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -6
|
What is -171 + 157?
|
Add the two numbers.
|
Add -171 and 157.
|
-14
|
Solve for x: -4(x + 6) = 28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
Solve for x: -1(x + -1) = 4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
Solve: -6x + -1 > 83
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -14
|
If each item costs 17 dollars and the total cost is -170, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-10
|
Solve for x: -6(x + -13) = 18
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
What is -52 × 60?
|
Multiply the numbers.
|
Multiply -52 by 60.
|
-3120
|
Simplify -64/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
What is 5 × 35?
|
Multiply the numbers.
|
Multiply 5 by 35.
|
175
|
What is 493 ÷ 29?
|
Divide evenly.
|
Divide 493 by 29.
|
17
|
Solve for x: 3(x + 5) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is -260 + -16?
|
Add the two numbers.
|
Add -260 and -16.
|
-276
|
What is -150 - -3?
|
Subtract the second number from the first.
|
Subtract -3 from -150.
|
-147
|
What is -3^0?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 0 times (0th power = 1).
|
1
|
Simplify -1/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
Solve for x: 3(x + 6) = 33
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
Solve for x: 8x + -17 = -129
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
Solve for x: 6x + 9 = 87
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
Solve: 2x + -13 > -51
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -19
|
Simplify 33/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is -7 × -44?
|
Multiply the numbers.
|
Multiply -7 by -44.
|
308
|
What is -23 × 41?
|
Multiply the numbers.
|
Multiply -23 by 41.
|
-943
|
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
|
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
|
Solve: 3x + 11 > -16
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -9
|
Simplify -40/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
Simplify 99/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
Solve for x: -8x + 18 = 170
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
What is -39 × 23?
|
Multiply the numbers.
|
Multiply -39 by 23.
|
-897
|
If each item costs -4 dollars and the total cost is 40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-10
|
Solve for x: -7(x + 14) = -203
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is 5^4?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 4 times (0th power = 1).
|
625
|
Solve: 8x + -11 ≤ -67
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -7
|
What is -2^3?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 3 times (0th power = 1).
|
-8
|
What is 5^5?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 5 times (0th power = 1).
|
3125
|
What is -5^2?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 2 times (0th power = 1).
|
25
|
Solve for x: 12x + -8 = -44
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-3
|
Simplify -117/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
What is -57 × 24?
|
Multiply the numbers.
|
Multiply -57 by 24.
|
-1368
|
What is -126 + 299?
|
Add the two numbers.
|
Add -126 and 299.
|
173
|
What is 40 × -48?
|
Multiply the numbers.
|
Multiply 40 by -48.
|
-1920
|
Solve for x: 2(x + -9) = 4
|
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
|
What is 4 × -40?
|
Multiply the numbers.
|
Multiply 4 by -40.
|
-160
|
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