question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Simplify 63/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
9
What is 147 ÷ -21?
Divide evenly.
Divide 147 by -21.
-7
What is 1 × -50?
Multiply the numbers.
Multiply 1 by -50.
-50
Solve for x: -2(x + 12) = -10
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
If each item costs -4 dollars and the total cost is -16, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
4
Simplify -36/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
Solve for x: -1(x + 0) = -2
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
Simplify 2/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
2
What is -58 × -57?
Multiply the numbers.
Multiply -58 by -57.
3306
Solve: 6x + -20 < 22
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 7
What is -8^5?
Evaluate the integer exponent.
Multiply -8 by itself 5 times (0th power = 1).
-32768
If each item costs 18 dollars and the total cost is 324, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
18
Solve for x: 1x + -13 = -31
Solve the linear equation.
Subtract b from both sides, then divide by a.
-18
Simplify 0/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
Simplify -154/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-11
What is -52 × -58?
Multiply the numbers.
Multiply -52 by -58.
3016
What is -2 × -42?
Multiply the numbers.
Multiply -2 by -42.
84
Simplify -36/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-12
If each item costs 11 dollars and the total cost is 209, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
19
Solve: -4x + -14 ≤ 6
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -5
Solve for x: -11x + 17 = 182
Solve the linear equation.
Subtract b from both sides, then divide by a.
-15
What is 60 ÷ -6?
Divide evenly.
Divide 60 by -6.
-10
What is -37 × -26?
Multiply the numbers.
Multiply -37 by -26.
962
Solve for x: 3(x + -14) = -42
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
What is 43 × 19?
Multiply the numbers.
Multiply 43 by 19.
817
If each item costs 16 dollars and the total cost is 144, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
9
What is 6 × -8?
Multiply the numbers.
Multiply 6 by -8.
-48
Simplify 100/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
10
If each item costs 10 dollars and the total cost is 150, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
15
What is -32 × 41?
Multiply the numbers.
Multiply -32 by 41.
-1312
What is 268 - -85?
Subtract the second number from the first.
Subtract -85 from 268.
353
Solve: 10x + 19 ≥ 129
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 11
Solve: -8x + 18 ≥ -70
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 11
What is 8^5?
Evaluate the integer exponent.
Multiply 8 by itself 5 times (0th power = 1).
32768
Solve for x: -8(x + -5) = 88
Solve a two-step equation.
Divide both sides by a, then subtract b.
-6
Solve for x: 6(x + -3) = -6
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
What is 277 + -62?
Add the two numbers.
Add 277 and -62.
215
What is 54 × -48?
Multiply the numbers.
Multiply 54 by -48.
-2592
What is -7^5?
Evaluate the integer exponent.
Multiply -7 by itself 5 times (0th power = 1).
-16807
Solve: 2x + -2 ≤ 2
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 2
What is 108 - 74?
Subtract the second number from the first.
Subtract 74 from 108.
34
Solve for x: 1x + -26 = -21
Solve the linear equation.
Subtract b from both sides, then divide by a.
5
What is 165 ÷ -15?
Divide evenly.
Divide 165 by -15.
-11
Solve for x: -1(x + -6) = -8
Solve a two-step equation.
Divide both sides by a, then subtract b.
14
Solve for x: 9x + -27 = 81
Solve the linear equation.
Subtract b from both sides, then divide by a.
12
What is -259 - 192?
Subtract the second number from the first.
Subtract 192 from -259.
-451
What is -20 ÷ -4?
Divide evenly.
Divide -20 by -4.
5
What is 42 ÷ 14?
Divide evenly.
Divide 42 by 14.
3
If each item costs 19 dollars and the total cost is -152, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-8
Simplify 63/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
7
What is -8^0?
Evaluate the integer exponent.
Multiply -8 by itself 0 times (0th power = 1).
1
What is -238 - -174?
Subtract the second number from the first.
Subtract -174 from -238.
-64
Simplify -96/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-6
What is -8^4?
Evaluate the integer exponent.
Multiply -8 by itself 4 times (0th power = 1).
4096
If each item costs 12 dollars and the total cost is -120, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-10
Solve for x: 5(x + -2) = -30
Solve a two-step equation.
Divide both sides by a, then subtract b.
-4
What is 264 ÷ -22?
Divide evenly.
Divide 264 by -22.
-12
What is -27 × 60?
Multiply the numbers.
Multiply -27 by 60.
-1620
What is 197 + 17?
Add the two numbers.
Add 197 and 17.
214
Solve: -2x + 18 ≤ 22
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -2
Solve for x: -4x + 20 = -32
Solve the linear equation.
Subtract b from both sides, then divide by a.
13
Simplify 132/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
12
What is 38 × 56?
Multiply the numbers.
Multiply 38 by 56.
2128
Solve for x: -1(x + 6) = -13
Solve a two-step equation.
Divide both sides by a, then subtract b.
7
What is 45 × -2?
Multiply the numbers.
Multiply 45 by -2.
-90
What is -5^4?
Evaluate the integer exponent.
Multiply -5 by itself 4 times (0th power = 1).
625
What is -3^4?
Evaluate the integer exponent.
Multiply -3 by itself 4 times (0th power = 1).
81
Simplify 91/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
7
What is -128 + 36?
Add the two numbers.
Add -128 and 36.
-92
What is 2^2?
Evaluate the integer exponent.
Multiply 2 by itself 2 times (0th power = 1).
4
Solve for x: 1(x + -14) = -27
Solve a two-step equation.
Divide both sides by a, then subtract b.
-13
What is 3^5?
Evaluate the integer exponent.
Multiply 3 by itself 5 times (0th power = 1).
243
What is -41 × 5?
Multiply the numbers.
Multiply -41 by 5.
-205
What is 60 × 32?
Multiply the numbers.
Multiply 60 by 32.
1920
What is -138 + 102?
Add the two numbers.
Add -138 and 102.
-36
What is -250 - 150?
Subtract the second number from the first.
Subtract 150 from -250.
-400
What is -107 - -17?
Subtract the second number from the first.
Subtract -17 from -107.
-90
Solve for x: 7(x + 11) = 168
Solve a two-step equation.
Divide both sides by a, then subtract b.
13
What is -9 + 57?
Add the two numbers.
Add -9 and 57.
48
What is -60 ÷ -6?
Divide evenly.
Divide -60 by -6.
10
What is 8^0?
Evaluate the integer exponent.
Multiply 8 by itself 0 times (0th power = 1).
1
What is -92 ÷ -23?
Divide evenly.
Divide -92 by -23.
4
Simplify 110/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
11
What is 295 - -111?
Subtract the second number from the first.
Subtract -111 from 295.
406
What is 203 + -223?
Add the two numbers.
Add 203 and -223.
-20
What is 1^3?
Evaluate the integer exponent.
Multiply 1 by itself 3 times (0th power = 1).
1
If each item costs 3 dollars and the total cost is 66, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
22
What is -147 - 93?
Subtract the second number from the first.
Subtract 93 from -147.
-240
What is 6^1?
Evaluate the integer exponent.
Multiply 6 by itself 1 times (0th power = 1).
6
If each item costs 6 dollars and the total cost is -18, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-3
Solve: 2x + -3 ≥ -15
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -6
What is -220 - 0?
Subtract the second number from the first.
Subtract 0 from -220.
-220
What is -120 ÷ 20?
Divide evenly.
Divide -120 by 20.
-6
What is -28 × -15?
Multiply the numbers.
Multiply -28 by -15.
420
If each item costs -1 dollars and the total cost is 10, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-10
Solve for x: 4(x + -12) = -56
Solve a two-step equation.
Divide both sides by a, then subtract b.
-2
What is -108 - 45?
Subtract the second number from the first.
Subtract 45 from -108.
-153
What is 1^1?
Evaluate the integer exponent.
Multiply 1 by itself 1 times (0th power = 1).
1
What is -253 + -14?
Add the two numbers.
Add -253 and -14.
-267
Solve for x: -1(x + 14) = -17
Solve a two-step equation.
Divide both sides by a, then subtract b.
3