question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Simplify 90/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
What is -24 ÷ 24?
Divide evenly.
Divide -24 by 24.
-1
What is -268 - -205?
Subtract the second number from the first.
Subtract -205 from -268.
-63
Simplify 0/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
Solve: -9x + 20 < -70
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 10
What is -50 × 3?
Multiply the numbers.
Multiply -50 by 3.
-150
Simplify 66/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
What is 240 - -257?
Subtract the second number from the first.
Subtract -257 from 240.
497
What is 24 ÷ -8?
Divide evenly.
Divide 24 by -8.
-3
What is -224 + -13?
Add the two numbers.
Add -224 and -13.
-237
Solve: -9x + -9 ≤ -153
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 16
What is -88 + -153?
Add the two numbers.
Add -88 and -153.
-241
Simplify -9/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
What is 12 × -30?
Multiply the numbers.
Multiply 12 by -30.
-360
If each item costs 11 dollars and the total cost is 44, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
4
Solve: 3x + -12 < -9
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 1
Solve: -9x + -14 ≥ -32
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 2
What is 28 ÷ 28?
Divide evenly.
Divide 28 by 28.
1
If each item costs 9 dollars and the total cost is 261, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
29
If each item costs 14 dollars and the total cost is 70, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
5
Solve for x: 1(x + 10) = -5
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
What is 7^1?
Evaluate the integer exponent.
Multiply 7 by itself 1 times (0th power = 1).
7
Solve for x: 5(x + -2) = 0
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
What is 27 × 14?
Multiply the numbers.
Multiply 27 by 14.
378
Simplify 36/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
12
If each item costs 15 dollars and the total cost is -30, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-2
What is -360 ÷ 24?
Divide evenly.
Divide -360 by 24.
-15
Solve for x: 1x + 15 = 4
Solve the linear equation.
Subtract b from both sides, then divide by a.
-11
What is 34 × -11?
Multiply the numbers.
Multiply 34 by -11.
-374
Solve for x: -5(x + -13) = 85
Solve a two-step equation.
Divide both sides by a, then subtract b.
-4
What is 15 + 155?
Add the two numbers.
Add 15 and 155.
170
Solve for x: 1(x + -12) = -3
Solve a two-step equation.
Divide both sides by a, then subtract b.
9
What is -49 × -37?
Multiply the numbers.
Multiply -49 by -37.
1813
Simplify 75/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
Solve: 4x + -14 < 34
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 12
What is 62 - 267?
Subtract the second number from the first.
Subtract 267 from 62.
-205
What is 32 - 94?
Subtract the second number from the first.
Subtract 94 from 32.
-62
What is -2 + 123?
Add the two numbers.
Add -2 and 123.
121
Simplify 33/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
11
Solve: 9x + 13 > -32
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -5
Simplify -48/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
Solve for x: -4x + 1 = 5
Solve the linear equation.
Subtract b from both sides, then divide by a.
-1
What is -52 × -39?
Multiply the numbers.
Multiply -52 by -39.
2028
Simplify 9/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
1
Solve for x: -10x + -7 = -107
Solve the linear equation.
Subtract b from both sides, then divide by a.
10
Solve for x: 12x + 10 = -50
Solve the linear equation.
Subtract b from both sides, then divide by a.
-5
What is -2^3?
Evaluate the integer exponent.
Multiply -2 by itself 3 times (0th power = 1).
-8
What is -162 - 11?
Subtract the second number from the first.
Subtract 11 from -162.
-173
What is 105 + 40?
Add the two numbers.
Add 105 and 40.
145
If each item costs 15 dollars and the total cost is 60, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
4
Solve for x: 3(x + -2) = -9
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
If each item costs -1 dollars and the total cost is 12, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-12
Solve for x: -2(x + 0) = -8
Solve a two-step equation.
Divide both sides by a, then subtract b.
4
Solve for x: 5(x + 15) = 25
Solve a two-step equation.
Divide both sides by a, then subtract b.
-10
Solve for x: 8(x + 15) = 72
Solve a two-step equation.
Divide both sides by a, then subtract b.
-6
If each item costs -3 dollars and the total cost is -90, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
30
Solve for x: 1(x + 11) = 8
Solve a two-step equation.
Divide both sides by a, then subtract b.
-3
Simplify -108/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-9
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
Solve: 8x + -19 ≥ -91
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -9
What is 256 ÷ -16?
Divide evenly.
Divide 256 by -16.
-16
Simplify -128/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
Solve for x: -4x + 12 = 32
Solve the linear equation.
Subtract b from both sides, then divide by a.
-5
What is 31 × -6?
Multiply the numbers.
Multiply 31 by -6.
-186
Simplify 6/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
2
If each item costs 8 dollars and the total cost is 80, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
10
Simplify 70/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
What is 68 + 249?
Add the two numbers.
Add 68 and 249.
317
If each item costs 19 dollars and the total cost is 380, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
20
What is -189 - -46?
Subtract the second number from the first.
Subtract -46 from -189.
-143
Solve for x: -7(x + 3) = 49
Solve a two-step equation.
Divide both sides by a, then subtract b.
-10
Simplify 11/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
1
What is -290 - -200?
Subtract the second number from the first.
Subtract -200 from -290.
-90
Solve for x: 5x + 17 = -13
Solve the linear equation.
Subtract b from both sides, then divide by a.
-6
Solve: 9x + 16 > 151
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 15
What is 3^3?
Evaluate the integer exponent.
Multiply 3 by itself 3 times (0th power = 1).
27
What is 8^1?
Evaluate the integer exponent.
Multiply 8 by itself 1 times (0th power = 1).
8
Solve for x: 8(x + -12) = -216
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
Solve for x: -10x + -23 = -83
Solve the linear equation.
Subtract b from both sides, then divide by a.
6
What is -16 × -21?
Multiply the numbers.
Multiply -16 by -21.
336
Solve for x: -2(x + 1) = 0
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
What is 3^3?
Evaluate the integer exponent.
Multiply 3 by itself 3 times (0th power = 1).
27
What is 148 - 163?
Subtract the second number from the first.
Subtract 163 from 148.
-15
Solve for x: 2(x + -14) = -54
Solve a two-step equation.
Divide both sides by a, then subtract b.
-13
What is -277 - 51?
Subtract the second number from the first.
Subtract 51 from -277.
-328
What is -132 - -51?
Subtract the second number from the first.
Subtract -51 from -132.
-81
Solve: 8x + -10 ≤ -82
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -9
Solve: 5x + -6 ≥ 29
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 7
What is -37 × 21?
Multiply the numbers.
Multiply -37 by 21.
-777
Simplify -156/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-12
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
If each item costs 2 dollars and the total cost is 14, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
7
What is -81 + -90?
Add the two numbers.
Add -81 and -90.
-171
Solve for x: 7x + -24 = -136
Solve the linear equation.
Subtract b from both sides, then divide by a.
-16
Solve: 2x + 0 > -18
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -9
What is -5^2?
Evaluate the integer exponent.
Multiply -5 by itself 2 times (0th power = 1).
25
What is 8^5?
Evaluate the integer exponent.
Multiply 8 by itself 5 times (0th power = 1).
32768
Solve for x: 5(x + 4) = 40
Solve a two-step equation.
Divide both sides by a, then subtract b.
4
Simplify -4/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-1
Solve for x: 7(x + 4) = 112
Solve a two-step equation.
Divide both sides by a, then subtract b.
12