question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve for x: -8(x + 14) = -192
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
Solve for x: -7(x + 8) = -119
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
Solve for x: 1x + -6 = -9
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-3
|
Solve: 2x + -4 ≤ -40
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -18
|
What is 3 × -27?
|
Multiply the numbers.
|
Multiply 3 by -27.
|
-81
|
What is 195 - 170?
|
Subtract the second number from the first.
|
Subtract 170 from 195.
|
25
|
What is -82 + -198?
|
Add the two numbers.
|
Add -82 and -198.
|
-280
|
Solve: -5x + -14 < -44
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 6
|
What is 35 + 232?
|
Add the two numbers.
|
Add 35 and 232.
|
267
|
Solve: -5x + -12 < 53
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -13
|
What is -324 ÷ -18?
|
Divide evenly.
|
Divide -324 by -18.
|
18
|
What is -4 × -17?
|
Multiply the numbers.
|
Multiply -4 by -17.
|
68
|
Simplify 135/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
Solve for x: 6(x + -15) = -42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
Simplify -80/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
What is -89 - 263?
|
Subtract the second number from the first.
|
Subtract 263 from -89.
|
-352
|
What is -71 + -32?
|
Add the two numbers.
|
Add -71 and -32.
|
-103
|
What is -278 - -219?
|
Subtract the second number from the first.
|
Subtract -219 from -278.
|
-59
|
Solve for x: 5(x + 11) = 15
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
Solve: -4x + 14 < -18
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 8
|
What is -8 × -49?
|
Multiply the numbers.
|
Multiply -8 by -49.
|
392
|
Solve: -8x + 13 < -19
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 4
|
If each item costs 16 dollars and the total cost is -304, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-19
|
Solve for x: 4(x + -3) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is -5^1?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 1 times (0th power = 1).
|
-5
|
What is 20 × 4?
|
Multiply the numbers.
|
Multiply 20 by 4.
|
80
|
Solve for x: 5x + 13 = 48
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
What is -2^4?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 4 times (0th power = 1).
|
16
|
Solve: -9x + 17 ≤ 179
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -18
|
What is 70 - -60?
|
Subtract the second number from the first.
|
Subtract -60 from 70.
|
130
|
What is -89 - -196?
|
Subtract the second number from the first.
|
Subtract -196 from -89.
|
107
|
What is 80 ÷ 4?
|
Divide evenly.
|
Divide 80 by 4.
|
20
|
What is 34 × 20?
|
Multiply the numbers.
|
Multiply 34 by 20.
|
680
|
Solve for x: 6(x + -13) = 6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
What is -30 ÷ -30?
|
Divide evenly.
|
Divide -30 by -30.
|
1
|
Solve for x: 8(x + -4) = -112
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
Solve for x: -1x + 9 = -3
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
12
|
Solve for x: 5(x + -2) = -45
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
What is 52 × -47?
|
Multiply the numbers.
|
Multiply 52 by -47.
|
-2444
|
What is 38 - 117?
|
Subtract the second number from the first.
|
Subtract 117 from 38.
|
-79
|
What is 239 + 105?
|
Add the two numbers.
|
Add 239 and 105.
|
344
|
What is -4^3?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 3 times (0th power = 1).
|
-64
|
Simplify 36/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
Solve: 5x + 9 ≥ -46
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -11
|
If each item costs 1 dollars and the total cost is -18, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
Simplify -72/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
What is -186 + -239?
|
Add the two numbers.
|
Add -186 and -239.
|
-425
|
If each item costs 12 dollars and the total cost is 324, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
27
|
Solve for x: 2(x + 8) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
What is 2^0?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 0 times (0th power = 1).
|
1
|
Simplify 0/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
Solve for x: -6(x + 5) = -102
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
What is 5^1?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 1 times (0th power = 1).
|
5
|
Simplify 35/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
If each item costs 6 dollars and the total cost is -84, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-14
|
What is 7^3?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 3 times (0th power = 1).
|
343
|
If each item costs 16 dollars and the total cost is 416, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
26
|
Solve for x: -3x + -22 = -76
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
What is 7^3?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 3 times (0th power = 1).
|
343
|
What is -47 × 9?
|
Multiply the numbers.
|
Multiply -47 by 9.
|
-423
|
Simplify 40/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is -56 × -23?
|
Multiply the numbers.
|
Multiply -56 by -23.
|
1288
|
Simplify -7/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
What is -224 ÷ -16?
|
Divide evenly.
|
Divide -224 by -16.
|
14
|
What is -4^5?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 5 times (0th power = 1).
|
-1024
|
What is -97 - 162?
|
Subtract the second number from the first.
|
Subtract 162 from -97.
|
-259
|
What is 142 - 235?
|
Subtract the second number from the first.
|
Subtract 235 from 142.
|
-93
|
What is -51 ÷ -3?
|
Divide evenly.
|
Divide -51 by -3.
|
17
|
Solve for x: -3(x + 11) = -66
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is -252 ÷ 28?
|
Divide evenly.
|
Divide -252 by 28.
|
-9
|
Solve for x: 8x + 24 = 184
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
What is -104 + -283?
|
Add the two numbers.
|
Add -104 and -283.
|
-387
|
Solve: -6x + 3 > 45
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -7
|
If each item costs 3 dollars and the total cost is 75, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
If each item costs 4 dollars and the total cost is 48, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
What is -2 × -2?
|
Multiply the numbers.
|
Multiply -2 by -2.
|
4
|
What is -7^0?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 0 times (0th power = 1).
|
1
|
If each item costs 8 dollars and the total cost is 64, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
8
|
What is 130 ÷ -13?
|
Divide evenly.
|
Divide 130 by -13.
|
-10
|
Solve for x: 4(x + 11) = 32
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
Solve: -5x + 18 ≤ -67
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 17
|
If each item costs -2 dollars and the total cost is 40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
What is 85 ÷ 5?
|
Divide evenly.
|
Divide 85 by 5.
|
17
|
Solve for x: -3(x + 6) = -45
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
What is -255 - -64?
|
Subtract the second number from the first.
|
Subtract -64 from -255.
|
-191
|
What is -204 + 121?
|
Add the two numbers.
|
Add -204 and 121.
|
-83
|
What is 336 ÷ 28?
|
Divide evenly.
|
Divide 336 by 28.
|
12
|
If each item costs -7 dollars and the total cost is 91, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-13
|
What is -2^4?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 4 times (0th power = 1).
|
16
|
Simplify -99/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
What is 3^4?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 4 times (0th power = 1).
|
81
|
Solve: 10x + -13 > 137
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 15
|
What is 145 - -31?
|
Subtract the second number from the first.
|
Subtract -31 from 145.
|
176
|
What is 56 ÷ 14?
|
Divide evenly.
|
Divide 56 by 14.
|
4
|
Solve: 10x + -15 ≤ -35
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -2
|
Solve: -6x + 15 ≥ 117
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -17
|
What is 19 × 55?
|
Multiply the numbers.
|
Multiply 19 by 55.
|
1045
|
What is 57 ÷ 3?
|
Divide evenly.
|
Divide 57 by 3.
|
19
|
What is 12 ÷ 3?
|
Divide evenly.
|
Divide 12 by 3.
|
4
|
What is -6^2?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 2 times (0th power = 1).
|
36
|
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