question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve for x: 7x + -6 = 99
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
Simplify 0/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
What is -24 - -144?
|
Subtract the second number from the first.
|
Subtract -144 from -24.
|
120
|
What is -19 × -58?
|
Multiply the numbers.
|
Multiply -19 by -58.
|
1102
|
What is 116 + -179?
|
Add the two numbers.
|
Add 116 and -179.
|
-63
|
Solve for x: 11x + -16 = -236
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-20
|
What is -570 ÷ -30?
|
Divide evenly.
|
Divide -570 by -30.
|
19
|
What is -16 ÷ -4?
|
Divide evenly.
|
Divide -16 by -4.
|
4
|
Solve for x: -7(x + 14) = -175
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is -41 × -11?
|
Multiply the numbers.
|
Multiply -41 by -11.
|
451
|
What is 32 × -2?
|
Multiply the numbers.
|
Multiply 32 by -2.
|
-64
|
Solve for x: 8x + -18 = -2
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
What is -42 × -6?
|
Multiply the numbers.
|
Multiply -42 by -6.
|
252
|
If each item costs 12 dollars and the total cost is 228, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
19
|
Solve: 7x + -13 < 43
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 8
|
What is 7 + 132?
|
Add the two numbers.
|
Add 7 and 132.
|
139
|
Simplify -72/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
If each item costs -9 dollars and the total cost is 36, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-4
|
Solve for x: 5x + 24 = -31
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-11
|
What is -191 - -243?
|
Subtract the second number from the first.
|
Subtract -243 from -191.
|
52
|
If each item costs 13 dollars and the total cost is -195, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
What is -37 × 32?
|
Multiply the numbers.
|
Multiply -37 by 32.
|
-1184
|
What is 3^2?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 2 times (0th power = 1).
|
9
|
Solve for x: 11x + -19 = -8
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
1
|
Solve for x: 4x + 7 = -9
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
Solve for x: -3(x + -11) = 57
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
What is 8^4?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 4 times (0th power = 1).
|
4096
|
Solve: -1x + 10 ≤ 7
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 3
|
What is -34 - 116?
|
Subtract the second number from the first.
|
Subtract 116 from -34.
|
-150
|
Simplify -60/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
Solve for x: 9x + -4 = -166
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
Solve for x: 4(x + -14) = -12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is 35 ÷ 7?
|
Divide evenly.
|
Divide 35 by 7.
|
5
|
What is -378 ÷ -21?
|
Divide evenly.
|
Divide -378 by -21.
|
18
|
Solve for x: -1(x + -11) = 21
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
What is -228 ÷ 19?
|
Divide evenly.
|
Divide -228 by 19.
|
-12
|
What is 158 - 94?
|
Subtract the second number from the first.
|
Subtract 94 from 158.
|
64
|
If each item costs 20 dollars and the total cost is 600, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
30
|
What is 2 + -107?
|
Add the two numbers.
|
Add 2 and -107.
|
-105
|
What is 3^4?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 4 times (0th power = 1).
|
81
|
What is 1^5?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 5 times (0th power = 1).
|
1
|
What is -228 ÷ -12?
|
Divide evenly.
|
Divide -228 by -12.
|
19
|
Solve for x: -10x + 8 = 158
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is -224 ÷ -28?
|
Divide evenly.
|
Divide -224 by -28.
|
8
|
What is 31 - -84?
|
Subtract the second number from the first.
|
Subtract -84 from 31.
|
115
|
What is 41 × 17?
|
Multiply the numbers.
|
Multiply 41 by 17.
|
697
|
Solve for x: 12x + -12 = -156
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
Solve for x: 9x + 28 = -125
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
What is -5^3?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 3 times (0th power = 1).
|
-125
|
What is -75 ÷ 15?
|
Divide evenly.
|
Divide -75 by 15.
|
-5
|
What is 25 × -23?
|
Multiply the numbers.
|
Multiply 25 by -23.
|
-575
|
Simplify -6/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is 36 - -182?
|
Subtract the second number from the first.
|
Subtract -182 from 36.
|
218
|
Solve for x: -9x + 25 = 196
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
Solve: 7x + 1 > 127
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 18
|
What is -118 - 209?
|
Subtract the second number from the first.
|
Subtract 209 from -118.
|
-327
|
What is -35 × -56?
|
Multiply the numbers.
|
Multiply -35 by -56.
|
1960
|
What is 112 ÷ 16?
|
Divide evenly.
|
Divide 112 by 16.
|
7
|
What is 3 × -22?
|
Multiply the numbers.
|
Multiply 3 by -22.
|
-66
|
What is -127 - 136?
|
Subtract the second number from the first.
|
Subtract 136 from -127.
|
-263
|
What is -8^1?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 1 times (0th power = 1).
|
-8
|
Solve for x: 6x + -10 = 38
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
What is -202 - 191?
|
Subtract the second number from the first.
|
Subtract 191 from -202.
|
-393
|
What is 2^5?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 5 times (0th power = 1).
|
32
|
Simplify 33/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
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 162 + -15?
|
Add the two numbers.
|
Add 162 and -15.
|
147
|
If each item costs 15 dollars and the total cost is 300, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
Solve for x: 3(x + 2) = -27
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
What is -2 × -29?
|
Multiply the numbers.
|
Multiply -2 by -29.
|
58
|
If each item costs 12 dollars and the total cost is 336, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
28
|
Solve for x: -7(x + -8) = 63
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
Solve for x: -7(x + -10) = -7
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
Solve for x: 7(x + 8) = 49
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
Solve: -8x + 19 ≥ -117
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 17
|
Simplify 176/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
Simplify -15/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
Simplify -30/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
Solve for x: -12x + -17 = -113
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
What is -59 + 296?
|
Add the two numbers.
|
Add -59 and 296.
|
237
|
If each item costs -10 dollars and the total cost is -220, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
22
|
Solve for x: 6x + -10 = 32
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
What is -56 - 224?
|
Subtract the second number from the first.
|
Subtract 224 from -56.
|
-280
|
Solve for x: 3(x + -4) = -3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
Solve for x: -1(x + -1) = 16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
What is 61 - 112?
|
Subtract the second number from the first.
|
Subtract 112 from 61.
|
-51
|
Solve for x: 8x + 5 = 157
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
Solve for x: -1(x + -4) = -9
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
What is -12 × 56?
|
Multiply the numbers.
|
Multiply -12 by 56.
|
-672
|
Solve: 1x + -12 < -8
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 4
|
What is -6^4?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 4 times (0th power = 1).
|
1296
|
Solve for x: 12x + -3 = 45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
What is -178 + 160?
|
Add the two numbers.
|
Add -178 and 160.
|
-18
|
What is 4^4?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 4 times (0th power = 1).
|
256
|
Simplify -108/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
Solve for x: -4x + 11 = 79
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Solve for x: -5x + -9 = -84
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
What is 19 - 140?
|
Subtract the second number from the first.
|
Subtract 140 from 19.
|
-121
|
Solve for x: 1x + 18 = 9
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
Solve for x: -1(x + -10) = 16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
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