question
stringlengths
12
86
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stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
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1
7
Solve for x: -6(x + 2) = -48
Solve a two-step equation.
Divide both sides by a, then subtract b.
6
What is -46 × -27?
Multiply the numbers.
Multiply -46 by -27.
1242
Simplify 12/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
4
Simplify -121/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-11
Solve for x: -8x + 21 = 165
Solve the linear equation.
Subtract b from both sides, then divide by a.
-18
What is 43 - -292?
Subtract the second number from the first.
Subtract -292 from 43.
335
Solve for x: -7(x + 13) = -196
Solve a two-step equation.
Divide both sides by a, then subtract b.
15
What is 3 × -2?
Multiply the numbers.
Multiply 3 by -2.
-6
What is 400 ÷ -20?
Divide evenly.
Divide 400 by -20.
-20
Solve for x: -8(x + -5) = -64
Solve a two-step equation.
Divide both sides by a, then subtract b.
13
Solve: -1x + -19 > -20
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 1
Solve: -9x + -20 ≥ 43
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -7
What is -270 ÷ 18?
Divide evenly.
Divide -270 by 18.
-15
Solve for x: 10x + 24 = -126
Solve the linear equation.
Subtract b from both sides, then divide by a.
-15
Solve for x: 8(x + 13) = 184
Solve a two-step equation.
Divide both sides by a, then subtract b.
10
What is -31 × -30?
Multiply the numbers.
Multiply -31 by -30.
930
What is 39 - -133?
Subtract the second number from the first.
Subtract -133 from 39.
172
If each item costs 4 dollars and the total cost is -24, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-6
What is -76 ÷ -4?
Divide evenly.
Divide -76 by -4.
19
Solve for x: 3(x + -10) = -6
Solve a two-step equation.
Divide both sides by a, then subtract b.
8
What is -510 ÷ 30?
Divide evenly.
Divide -510 by 30.
-17
Simplify -36/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-4
Solve: 10x + 3 ≥ -137
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -14
Solve: -5x + 3 ≥ 18
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -3
Solve for x: 6x + -2 = 22
Solve the linear equation.
Subtract b from both sides, then divide by a.
4
What is -240 ÷ -15?
Divide evenly.
Divide -240 by -15.
16
If each item costs -3 dollars and the total cost is -9, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
3
Simplify -60/5
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-12
If each item costs -5 dollars and the total cost is 20, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-4
What is -193 - -78?
Subtract the second number from the first.
Subtract -78 from -193.
-115
What is 8 × -31?
Multiply the numbers.
Multiply 8 by -31.
-248
What is -64 ÷ 8?
Divide evenly.
Divide -64 by 8.
-8
What is -96 ÷ -6?
Divide evenly.
Divide -96 by -6.
16
If each item costs 20 dollars and the total cost is -260, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-13
What is -8 ÷ -8?
Divide evenly.
Divide -8 by -8.
1
What is -65 ÷ -13?
Divide evenly.
Divide -65 by -13.
5
Solve for x: -2(x + -10) = 4
Solve a two-step equation.
Divide both sides by a, then subtract b.
8
What is 210 + -113?
Add the two numbers.
Add 210 and -113.
97
What is 4 × -52?
Multiply the numbers.
Multiply 4 by -52.
-208
What is -8^5?
Evaluate the integer exponent.
Multiply -8 by itself 5 times (0th power = 1).
-32768
Solve: -2x + -1 < -5
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 2
What is 83 - 148?
Subtract the second number from the first.
Subtract 148 from 83.
-65
Solve: -9x + 12 ≥ 48
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -4
What is 3^3?
Evaluate the integer exponent.
Multiply 3 by itself 3 times (0th power = 1).
27
Solve for x: -5x + -5 = 65
Solve the linear equation.
Subtract b from both sides, then divide by a.
-14
Solve: -8x + 15 > -113
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 16
Simplify 154/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
11
What is 53 × -30?
Multiply the numbers.
Multiply 53 by -30.
-1590
What is 174 - 69?
Subtract the second number from the first.
Subtract 69 from 174.
105
What is 3^2?
Evaluate the integer exponent.
Multiply 3 by itself 2 times (0th power = 1).
9
What is 96 + 127?
Add the two numbers.
Add 96 and 127.
223
What is -165 + -253?
Add the two numbers.
Add -165 and -253.
-418
What is 7^5?
Evaluate the integer exponent.
Multiply 7 by itself 5 times (0th power = 1).
16807
What is -125 - -254?
Subtract the second number from the first.
Subtract -254 from -125.
129
Simplify 0/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
What is 284 + -120?
Add the two numbers.
Add 284 and -120.
164
Simplify 30/5
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
What is -8^0?
Evaluate the integer exponent.
Multiply -8 by itself 0 times (0th power = 1).
1
Solve: -9x + 15 < 168
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 + -10) = 63
Solve a two-step equation.
Divide both sides by a, then subtract b.
1
What is -3^1?
Evaluate the integer exponent.
Multiply -3 by itself 1 times (0th power = 1).
-3
If each item costs 18 dollars and the total cost is 288, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
16
Simplify 0/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
Simplify 176/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
11
If each item costs 10 dollars and the total cost is 210, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
21
Solve for x: -2x + 22 = 46
Solve the linear equation.
Subtract b from both sides, then divide by a.
-12
What is 8^1?
Evaluate the integer exponent.
Multiply 8 by itself 1 times (0th power = 1).
8
Simplify -16/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-4
Solve: -3x + 0 < 39
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -13
If each item costs -3 dollars and the total cost is -60, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
20
What is -2 × 24?
Multiply the numbers.
Multiply -2 by 24.
-48
What is 26 × -56?
Multiply the numbers.
Multiply 26 by -56.
-1456
What is -14 × 3?
Multiply the numbers.
Multiply -14 by 3.
-42
What is -133 ÷ -7?
Divide evenly.
Divide -133 by -7.
19
If each item costs -4 dollars and the total cost is 32, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-8
What is 5^3?
Evaluate the integer exponent.
Multiply 5 by itself 3 times (0th power = 1).
125
If each item costs 7 dollars and the total cost is 112, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
16
Solve for x: 8x + -21 = -5
Solve the linear equation.
Subtract b from both sides, then divide by a.
2
Simplify -16/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-1
Solve: -2x + 9 ≥ -3
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 6
What is 59 × -30?
Multiply the numbers.
Multiply 59 by -30.
-1770
If each item costs -7 dollars and the total cost is -49, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
7
If each item costs 1 dollars and the total cost is 3, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
3
What is 141 - -279?
Subtract the second number from the first.
Subtract -279 from 141.
420
If each item costs 3 dollars and the total cost is 9, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
3
If each item costs -9 dollars and the total cost is -9, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
1
What is 257 - -153?
Subtract the second number from the first.
Subtract -153 from 257.
410
What is 59 + -219?
Add the two numbers.
Add 59 and -219.
-160
If each item costs -6 dollars and the total cost is -144, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
24
What is 57 × 12?
Multiply the numbers.
Multiply 57 by 12.
684
Solve for x: 10x + 10 = -70
Solve the linear equation.
Subtract b from both sides, then divide by a.
-8
What is -171 + 269?
Add the two numbers.
Add -171 and 269.
98
Simplify 81/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
9
What is -120 ÷ 24?
Divide evenly.
Divide -120 by 24.
-5
What is 35 × 17?
Multiply the numbers.
Multiply 35 by 17.
595
Solve for x: -8(x + 14) = -88
Solve a two-step equation.
Divide both sides by a, then subtract b.
-3
If each item costs 19 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
0
If each item costs 14 dollars and the total cost is 196, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
14
What is 138 + 291?
Add the two numbers.
Add 138 and 291.
429
What is -115 ÷ 23?
Divide evenly.
Divide -115 by 23.
-5