question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Solve: -9x + -5 ≤ -185
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 20
What is -133 - 87?
Subtract the second number from the first.
Subtract 87 from -133.
-220
Solve for x: -3x + 14 = 71
Solve the linear equation.
Subtract b from both sides, then divide by a.
-19
What is 8^3?
Evaluate the integer exponent.
Multiply 8 by itself 3 times (0th power = 1).
512
What is 288 + -23?
Add the two numbers.
Add 288 and -23.
265
Solve for x: -1(x + 13) = -12
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
What is -6 × -43?
Multiply the numbers.
Multiply -6 by -43.
258
Solve for x: -1x + 3 = -3
Solve the linear equation.
Subtract b from both sides, then divide by a.
6
If each item costs 0 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
4
Solve for x: -8(x + -6) = 80
Solve a two-step equation.
Divide both sides by a, then subtract b.
-4
Solve: 5x + -5 > -45
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -8
What is -4^4?
Evaluate the integer exponent.
Multiply -4 by itself 4 times (0th power = 1).
256
Solve: -4x + -11 ≤ -51
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 10
Solve for x: 9x + 14 = 32
Solve the linear equation.
Subtract b from both sides, then divide by a.
2
What is -3^3?
Evaluate the integer exponent.
Multiply -3 by itself 3 times (0th power = 1).
-27
Solve: 8x + 16 > -96
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -14
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
What is 208 ÷ -13?
Divide evenly.
Divide 208 by -13.
-16
Simplify -15/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-1
Simplify 24/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
12
Solve: -1x + -20 > -22
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 2
Solve for x: 9x + -18 = 144
Solve the linear equation.
Subtract b from both sides, then divide by a.
18
Solve for x: 7(x + 7) = -35
Solve a two-step equation.
Divide both sides by a, then subtract b.
-12
Solve for x: -11x + 11 = -55
Solve the linear equation.
Subtract b from both sides, then divide by a.
6
Simplify 1/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
1
What is 53 × 12?
Multiply the numbers.
Multiply 53 by 12.
636
What is -5^0?
Evaluate the integer exponent.
Multiply -5 by itself 0 times (0th power = 1).
1
What is 26 × -40?
Multiply the numbers.
Multiply 26 by -40.
-1040
What is 8^2?
Evaluate the integer exponent.
Multiply 8 by itself 2 times (0th power = 1).
64
If each item costs 6 dollars and the total cost is 174, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
29
What is -22 - 36?
Subtract the second number from the first.
Subtract 36 from -22.
-58
Solve for x: -4x + 12 = -44
Solve the linear equation.
Subtract b from both sides, then divide by a.
14
What is -19 + 122?
Add the two numbers.
Add -19 and 122.
103
Solve for x: 8x + 17 = 41
Solve the linear equation.
Subtract b from both sides, then divide by a.
3
What is -8 + -157?
Add the two numbers.
Add -8 and -157.
-165
What is -205 + 160?
Add the two numbers.
Add -205 and 160.
-45
Solve for x: -5(x + -10) = 110
Solve a two-step equation.
Divide both sides by a, then subtract b.
-12
Solve: 1x + -15 < -20
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -5
What is -7^2?
Evaluate the integer exponent.
Multiply -7 by itself 2 times (0th power = 1).
49
Solve: 3x + -11 ≤ 49
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 20
What is 6^5?
Evaluate the integer exponent.
Multiply 6 by itself 5 times (0th power = 1).
7776
What is -263 - 148?
Subtract the second number from the first.
Subtract 148 from -263.
-411
What is 33 ÷ 3?
Divide evenly.
Divide 33 by 3.
11
Simplify 18/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
What is -230 ÷ -23?
Divide evenly.
Divide -230 by -23.
10
Simplify 91/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
7
What is 224 ÷ 28?
Divide evenly.
Divide 224 by 28.
8
What is -65 - -78?
Subtract the second number from the first.
Subtract -78 from -65.
13
Simplify -10/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-10
What is -10 × 22?
Multiply the numbers.
Multiply -10 by 22.
-220
What is 16 × -26?
Multiply the numbers.
Multiply 16 by -26.
-416
What is -171 - 180?
Subtract the second number from the first.
Subtract 180 from -171.
-351
Solve for x: -3x + 26 = -34
Solve the linear equation.
Subtract b from both sides, then divide by a.
20
If each item costs 10 dollars and the total cost is -100, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-10
Solve for x: 2x + 21 = 61
Solve the linear equation.
Subtract b from both sides, then divide by a.
20
If each item costs 12 dollars and the total cost is -180, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-15
Simplify 40/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
What is 45 + -161?
Add the two numbers.
Add 45 and -161.
-116
Simplify 0/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
What is -2^5?
Evaluate the integer exponent.
Multiply -2 by itself 5 times (0th power = 1).
-32
Solve for x: -5(x + 14) = -45
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
If each item costs -1 dollars and the total cost is -24, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
24
What is 16 - 246?
Subtract the second number from the first.
Subtract 246 from 16.
-230
If each item costs 9 dollars and the total cost is 126, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
14
If each item costs 10 dollars and the total cost is 160, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
16
What is 296 + -47?
Add the two numbers.
Add 296 and -47.
249
Solve: -10x + -19 ≤ -59
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 4
Simplify -128/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
Solve: -10x + -17 ≥ -37
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 2
Solve for x: -11x + 13 = -174
Solve the linear equation.
Subtract b from both sides, then divide by a.
17
What is -1^5?
Evaluate the integer exponent.
Multiply -1 by itself 5 times (0th power = 1).
-1
What is -9 × 44?
Multiply the numbers.
Multiply -9 by 44.
-396
Solve: -2x + 18 < 58
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -20
What is -189 ÷ -27?
Divide evenly.
Divide -189 by -27.
7
What is -7 - 153?
Subtract the second number from the first.
Subtract 153 from -7.
-160
Simplify 168/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
12
Simplify 105/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
7
What is -182 ÷ -26?
Divide evenly.
Divide -182 by -26.
7
What is -211 - 127?
Subtract the second number from the first.
Subtract 127 from -211.
-338
Solve for x: -8(x + -1) = -16
Solve a two-step equation.
Divide both sides by a, then subtract b.
3
What is 7^4?
Evaluate the integer exponent.
Multiply 7 by itself 4 times (0th power = 1).
2401
Simplify 144/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
9
What is -221 ÷ -17?
Divide evenly.
Divide -221 by -17.
13
Solve for x: -3(x + 9) = -54
Solve a two-step equation.
Divide both sides by a, then subtract b.
9
What is -131 - 49?
Subtract the second number from the first.
Subtract 49 from -131.
-180
What is -19 + 167?
Add the two numbers.
Add -19 and 167.
148
What is 6^4?
Evaluate the integer exponent.
Multiply 6 by itself 4 times (0th power = 1).
1296
If each item costs -7 dollars and the total cost is 98, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-14
Solve for x: 1x + 21 = 20
Solve the linear equation.
Subtract b from both sides, then divide by a.
-1
What is -128 - -57?
Subtract the second number from the first.
Subtract -57 from -128.
-71
What is 90 ÷ -9?
Divide evenly.
Divide 90 by -9.
-10
What is 21 ÷ -7?
Divide evenly.
Divide 21 by -7.
-3
Solve for x: 12x + -2 = -122
Solve the linear equation.
Subtract b from both sides, then divide by a.
-10
What is -240 ÷ 16?
Divide evenly.
Divide -240 by 16.
-15
Simplify -70/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-10
What is -5^2?
Evaluate the integer exponent.
Multiply -5 by itself 2 times (0th power = 1).
25
Solve: -3x + 19 ≥ 52
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -11
If each item costs -9 dollars and the total cost is 117, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-13
Solve for x: 2(x + -2) = -2
Solve a two-step equation.
Divide both sides by a, then subtract b.
1
What is -204 + 36?
Add the two numbers.
Add -204 and 36.
-168