question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Solve for x: -5(x + 0) = -70
Solve a two-step equation.
Divide both sides by a, then subtract b.
14
What is 108 - -21?
Subtract the second number from the first.
Subtract -21 from 108.
129
Solve for x: -11x + 7 = -15
Solve the linear equation.
Subtract b from both sides, then divide by a.
2
Solve for x: -9x + -16 = -106
Solve the linear equation.
Subtract b from both sides, then divide by a.
10
What is 54 ÷ 27?
Divide evenly.
Divide 54 by 27.
2
Simplify 48/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
3
What is 46 × -33?
Multiply the numbers.
Multiply 46 by -33.
-1518
Solve for x: 3x + -27 = -9
Solve the linear equation.
Subtract b from both sides, then divide by a.
6
Simplify 54/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
9
Solve for x: -4x + -19 = -95
Solve the linear equation.
Subtract b from both sides, then divide by a.
19
Solve for x: -1(x + -2) = -10
Solve a two-step equation.
Divide both sides by a, then subtract b.
12
If each item costs 1 dollars and the total cost is 1, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
1
What is 58 × 13?
Multiply the numbers.
Multiply 58 by 13.
754
Solve: 8x + 10 ≥ -54
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -8
If each item costs -9 dollars and the total cost is -180, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
20
What is 3^2?
Evaluate the integer exponent.
Multiply 3 by itself 2 times (0th power = 1).
9
What is -63 - -8?
Subtract the second number from the first.
Subtract -8 from -63.
-55
Solve: 2x + 15 > 51
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 18
Simplify -42/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
Solve: 2x + -17 ≤ -39
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -11
Solve for x: 10x + -2 = -152
Solve the linear equation.
Subtract b from both sides, then divide by a.
-15
Solve: -5x + -18 > 57
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -15
What is 250 + 140?
Add the two numbers.
Add 250 and 140.
390
What is -175 + 82?
Add the two numbers.
Add -175 and 82.
-93
Solve: 2x + 3 < -31
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -17
If each item costs 17 dollars and the total cost is 357, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
21
What is -194 + 168?
Add the two numbers.
Add -194 and 168.
-26
What is -3^5?
Evaluate the integer exponent.
Multiply -3 by itself 5 times (0th power = 1).
-243
What is -24 ÷ 3?
Divide evenly.
Divide -24 by 3.
-8
If each item costs 11 dollars and the total cost is -11, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-1
What is 152 + -112?
Add the two numbers.
Add 152 and -112.
40
Solve for x: -1(x + -8) = 5
Solve a two-step equation.
Divide both sides by a, then subtract b.
3
Solve for x: 1(x + -5) = -3
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
Simplify 35/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
What is 100 ÷ 25?
Divide evenly.
Divide 100 by 25.
4
What is 215 - 236?
Subtract the second number from the first.
Subtract 236 from 215.
-21
Solve for x: -7x + 21 = 35
Solve the linear equation.
Subtract b from both sides, then divide by a.
-2
What is -118 - 186?
Subtract the second number from the first.
Subtract 186 from -118.
-304
If each item costs 15 dollars and the total cost is 390, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
26
Simplify 56/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
Simplify -168/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-12
What is -16 × -34?
Multiply the numbers.
Multiply -16 by -34.
544
What is 50 × -31?
Multiply the numbers.
Multiply 50 by -31.
-1550
What is 78 ÷ 13?
Divide evenly.
Divide 78 by 13.
6
What is 45 ÷ -3?
Divide evenly.
Divide 45 by -3.
-15
What is -255 + -38?
Add the two numbers.
Add -255 and -38.
-293
What is 44 × 59?
Multiply the numbers.
Multiply 44 by 59.
2596
Solve for x: -8(x + -8) = 64
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
What is -109 + -230?
Add the two numbers.
Add -109 and -230.
-339
Solve for x: -5x + -12 = 88
Solve the linear equation.
Subtract b from both sides, then divide by a.
-20
What is -50 × -24?
Multiply the numbers.
Multiply -50 by -24.
1200
What is 228 ÷ -12?
Divide evenly.
Divide 228 by -12.
-19
Solve for x: -3x + 5 = -10
Solve the linear equation.
Subtract b from both sides, then divide by a.
5
What is 4 + 103?
Add the two numbers.
Add 4 and 103.
107
What is 157 + -282?
Add the two numbers.
Add 157 and -282.
-125
Solve for x: 1(x + -5) = 1
Solve a two-step equation.
Divide both sides by a, then subtract b.
6
What is 18 × 7?
Multiply the numbers.
Multiply 18 by 7.
126
What is -240 ÷ -16?
Divide evenly.
Divide -240 by -16.
15
What is 160 - 180?
Subtract the second number from the first.
Subtract 180 from 160.
-20
Solve: -8x + -3 ≤ -19
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 2
Simplify -15/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-5
What is -290 ÷ 29?
Divide evenly.
Divide -290 by 29.
-10
Solve for x: 1(x + -15) = -30
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
What is 242 - -53?
Subtract the second number from the first.
Subtract -53 from 242.
295
What is -15 × 26?
Multiply the numbers.
Multiply -15 by 26.
-390
Solve for x: -2(x + 10) = -14
Solve a two-step equation.
Divide both sides by a, then subtract b.
-3
What is -18 ÷ -18?
Divide evenly.
Divide -18 by -18.
1
What is -21 × 56?
Multiply the numbers.
Multiply -21 by 56.
-1176
If each item costs -1 dollars and the total cost is 14, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-14
What is 196 + 166?
Add the two numbers.
Add 196 and 166.
362
If each item costs 9 dollars and the total cost is 144, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
16
What is 78 - -137?
Subtract the second number from the first.
Subtract -137 from 78.
215
What is 18 + -26?
Add the two numbers.
Add 18 and -26.
-8
Simplify 16/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
2
Solve for x: 9x + 6 = -12
Solve the linear equation.
Subtract b from both sides, then divide by a.
-2
What is -150 ÷ 25?
Divide evenly.
Divide -150 by 25.
-6
What is -75 - -39?
Subtract the second number from the first.
Subtract -39 from -75.
-36
What is 185 + -63?
Add the two numbers.
Add 185 and -63.
122
If each item costs 5 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
0
Solve: -6x + 18 ≤ 90
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -12
What is -298 - 266?
Subtract the second number from the first.
Subtract 266 from -298.
-564
What is 2^0?
Evaluate the integer exponent.
Multiply 2 by itself 0 times (0th power = 1).
1
Solve: 10x + -12 ≥ 158
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 17
What is 13 × -13?
Multiply the numbers.
Multiply 13 by -13.
-169
If each item costs 2 dollars and the total cost is -28, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-14
What is -4^5?
Evaluate the integer exponent.
Multiply -4 by itself 5 times (0th power = 1).
-1024
If each item costs 13 dollars and the total cost is 221, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
17
Solve for x: -3x + -4 = -25
Solve the linear equation.
Subtract b from both sides, then divide by a.
7
Solve for x: -4(x + -7) = -28
Solve a two-step equation.
Divide both sides by a, then subtract b.
14
What is -8 × 17?
Multiply the numbers.
Multiply -8 by 17.
-136
What is 157 + -189?
Add the two numbers.
Add 157 and -189.
-32
What is 5^2?
Evaluate the integer exponent.
Multiply 5 by itself 2 times (0th power = 1).
25
What is -4^1?
Evaluate the integer exponent.
Multiply -4 by itself 1 times (0th power = 1).
-4
Solve for x: 8x + -10 = -138
Solve the linear equation.
Subtract b from both sides, then divide by a.
-16
What is 126 ÷ -18?
Divide evenly.
Divide 126 by -18.
-7
Simplify -10/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-5
Simplify 150/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
10
Simplify 0/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
What is 8^5?
Evaluate the integer exponent.
Multiply 8 by itself 5 times (0th power = 1).
32768
What is 416 ÷ -26?
Divide evenly.
Divide 416 by -26.
-16