question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Simplify 0/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
What is 240 ÷ 24?
Divide evenly.
Divide 240 by 24.
10
If each item costs -1 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
0
What is 259 - -42?
Subtract the second number from the first.
Subtract -42 from 259.
301
What is -38 - -28?
Subtract the second number from the first.
Subtract -28 from -38.
-10
What is -21 - -234?
Subtract the second number from the first.
Subtract -234 from -21.
213
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.
22
Solve for x: -4(x + 3) = -56
Solve a two-step equation.
Divide both sides by a, then subtract b.
11
What is -36 × 6?
Multiply the numbers.
Multiply -36 by 6.
-216
If each item costs -8 dollars and the total cost is -192, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
24
Solve for x: -7x + 13 = 13
Solve the linear equation.
Subtract b from both sides, then divide by a.
0
If each item costs -6 dollars and the total cost is -150, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
25
Simplify -30/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-2
What is 45 ÷ -5?
Divide evenly.
Divide 45 by -5.
-9
Solve for x: 5x + -4 = 61
Solve the linear equation.
Subtract b from both sides, then divide by a.
13
What is -52 ÷ 4?
Divide evenly.
Divide -52 by 4.
-13
Simplify 45/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
Simplify 48/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
12
Solve for x: 8(x + 2) = -104
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
Solve for x: 1x + -7 = -3
Solve the linear equation.
Subtract b from both sides, then divide by a.
4
Solve: 1x + 8 < 1
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -7
Solve for x: 5(x + 0) = 20
Solve a two-step equation.
Divide both sides by a, then subtract b.
4
If each item costs -1 dollars and the total cost is 5, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-5
What is -55 ÷ -11?
Divide evenly.
Divide -55 by -11.
5
Solve: 8x + 4 < -108
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -14
Solve for x: -7x + 21 = 133
Solve the linear equation.
Subtract b from both sides, then divide by a.
-16
If each item costs 12 dollars and the total cost is -144, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-12
Solve for x: 11x + -2 = 152
Solve the linear equation.
Subtract b from both sides, then divide by a.
14
What is -132 ÷ 22?
Divide evenly.
Divide -132 by 22.
-6
What is -222 + 107?
Add the two numbers.
Add -222 and 107.
-115
What is 89 + 263?
Add the two numbers.
Add 89 and 263.
352
Solve: 1x + 18 ≥ 30
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 12
What is 1^5?
Evaluate the integer exponent.
Multiply 1 by itself 5 times (0th power = 1).
1
What is 40 + 247?
Add the two numbers.
Add 40 and 247.
287
Simplify -24/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-4
What is 4^2?
Evaluate the integer exponent.
Multiply 4 by itself 2 times (0th power = 1).
16
What is -130 - 240?
Subtract the second number from the first.
Subtract 240 from -130.
-370
Solve for x: 1(x + 14) = 12
Solve a two-step equation.
Divide both sides by a, then subtract b.
-2
Solve for x: 3(x + -10) = -48
Solve a two-step equation.
Divide both sides by a, then subtract b.
-6
Simplify 18/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
Solve: -1x + -11 < -22
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 11
What is -392 ÷ 28?
Divide evenly.
Divide -392 by 28.
-14
Solve: 2x + -9 ≥ -3
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 3
What is -46 × -38?
Multiply the numbers.
Multiply -46 by -38.
1748
What is 112 + -291?
Add the two numbers.
Add 112 and -291.
-179
Simplify -6/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-2
If each item costs 5 dollars and the total cost is 100, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
20
What is -194 - -32?
Subtract the second number from the first.
Subtract -32 from -194.
-162
Simplify -30/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-10
What is 45 × -1?
Multiply the numbers.
Multiply 45 by -1.
-45
What is 42 ÷ -14?
Divide evenly.
Divide 42 by -14.
-3
Simplify 8/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
2
Simplify -15/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-5
What is -30 × 58?
Multiply the numbers.
Multiply -30 by 58.
-1740
What is -20 ÷ -4?
Divide evenly.
Divide -20 by -4.
5
What is 254 - 133?
Subtract the second number from the first.
Subtract 133 from 254.
121
What is -270 ÷ -30?
Divide evenly.
Divide -270 by -30.
9
What is -48 × -23?
Multiply the numbers.
Multiply -48 by -23.
1104
If each item costs -10 dollars and the total cost is -200, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
20
Solve for x: 1x + 22 = 22
Solve the linear equation.
Subtract b from both sides, then divide by a.
0
If each item costs 18 dollars and the total cost is 54, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
3
What is 191 + 197?
Add the two numbers.
Add 191 and 197.
388
What is -184 + 170?
Add the two numbers.
Add -184 and 170.
-14
Solve for x: 5x + -4 = 41
Solve the linear equation.
Subtract b from both sides, then divide by a.
9
Solve for x: 6(x + 14) = 90
Solve a two-step equation.
Divide both sides by a, then subtract b.
1
What is -4^2?
Evaluate the integer exponent.
Multiply -4 by itself 2 times (0th power = 1).
16
Simplify -96/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-6
Solve for x: -6(x + 13) = -6
Solve a two-step equation.
Divide both sides by a, then subtract b.
-12
Simplify -2/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-1
What is -8^5?
Evaluate the integer exponent.
Multiply -8 by itself 5 times (0th power = 1).
-32768
What is -99 + -69?
Add the two numbers.
Add -99 and -69.
-168
Solve for x: 2(x + -2) = 8
Solve a two-step equation.
Divide both sides by a, then subtract b.
6
What is 225 - -238?
Subtract the second number from the first.
Subtract -238 from 225.
463
If each item costs 11 dollars and the total cost is -77, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-7
What is 28 × 5?
Multiply the numbers.
Multiply 28 by 5.
140
Solve for x: -3x + 4 = -41
Solve the linear equation.
Subtract b from both sides, then divide by a.
15
What is -1^3?
Evaluate the integer exponent.
Multiply -1 by itself 3 times (0th power = 1).
-1
What is 143 + 124?
Add the two numbers.
Add 143 and 124.
267
What is -114 + 159?
Add the two numbers.
Add -114 and 159.
45
What is -101 - -143?
Subtract the second number from the first.
Subtract -143 from -101.
42
What is -380 ÷ -19?
Divide evenly.
Divide -380 by -19.
20
What is 8^0?
Evaluate the integer exponent.
Multiply 8 by itself 0 times (0th power = 1).
1
Solve: 1x + -5 > 10
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 15
What is -1^4?
Evaluate the integer exponent.
Multiply -1 by itself 4 times (0th power = 1).
1
What is -143 ÷ -11?
Divide evenly.
Divide -143 by -11.
13
What is 115 - -106?
Subtract the second number from the first.
Subtract -106 from 115.
221
Solve: -10x + -8 > -118
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 11
Solve for x: -7(x + 11) = -84
Solve a two-step equation.
Divide both sides by a, then subtract b.
1
What is -8 × -26?
Multiply the numbers.
Multiply -8 by -26.
208
Simplify -42/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-7
If each item costs 6 dollars and the total cost is 6, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
1
What is -1^1?
Evaluate the integer exponent.
Multiply -1 by itself 1 times (0th power = 1).
-1
What is 44 × 10?
Multiply the numbers.
Multiply 44 by 10.
440
What is -100 ÷ 5?
Divide evenly.
Divide -100 by 5.
-20
Solve for x: 1(x + 15) = 3
Solve a two-step equation.
Divide both sides by a, then subtract b.
-12
What is -46 + 66?
Add the two numbers.
Add -46 and 66.
20
Simplify -36/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
Simplify -84/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-6
What is -60 ÷ 12?
Divide evenly.
Divide -60 by 12.
-5
Solve for x: 8(x + 7) = -56
Solve a two-step equation.
Divide both sides by a, then subtract b.
-14