question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Simplify -30/5
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-6
If each item costs 11 dollars and the total cost is -66, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-6
What is 180 ÷ -9?
Divide evenly.
Divide 180 by -9.
-20
What is 6^1?
Evaluate the integer exponent.
Multiply 6 by itself 1 times (0th power = 1).
6
If each item costs -3 dollars and the total cost is 57, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-19
What is 79 - -235?
Subtract the second number from the first.
Subtract -235 from 79.
314
Solve for x: 3(x + 9) = -12
Solve a two-step equation.
Divide both sides by a, then subtract b.
-13
Solve for x: 2(x + 5) = 34
Solve a two-step equation.
Divide both sides by a, then subtract b.
12
Simplify 50/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
What is 118 - 174?
Subtract the second number from the first.
Subtract 174 from 118.
-56
What is -15 × 40?
Multiply the numbers.
Multiply -15 by 40.
-600
Solve: -8x + 17 < 129
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -14
What is 3^1?
Evaluate the integer exponent.
Multiply 3 by itself 1 times (0th power = 1).
3
Solve: 1x + 20 ≥ 27
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 7
Simplify 78/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
What is 210 - -158?
Subtract the second number from the first.
Subtract -158 from 210.
368
What is 32 × 2?
Multiply the numbers.
Multiply 32 by 2.
64
Solve for x: 5(x + -12) = -115
Solve a two-step equation.
Divide both sides by a, then subtract b.
-11
Solve: 8x + -11 > -131
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -15
What is -215 + -41?
Add the two numbers.
Add -215 and -41.
-256
What is -194 + 84?
Add the two numbers.
Add -194 and 84.
-110
Solve for x: -2x + 7 = -31
Solve the linear equation.
Subtract b from both sides, then divide by a.
19
Solve for x: 1(x + -14) = -8
Solve a two-step equation.
Divide both sides by a, then subtract b.
6
Solve for x: -4(x + 5) = -16
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
What is -38 × 49?
Multiply the numbers.
Multiply -38 by 49.
-1862
What is 1^4?
Evaluate the integer exponent.
Multiply 1 by itself 4 times (0th power = 1).
1
What is 6^3?
Evaluate the integer exponent.
Multiply 6 by itself 3 times (0th power = 1).
216
What is -11 × 40?
Multiply the numbers.
Multiply -11 by 40.
-440
What is 7^4?
Evaluate the integer exponent.
Multiply 7 by itself 4 times (0th power = 1).
2401
What is -15 × 29?
Multiply the numbers.
Multiply -15 by 29.
-435
Solve for x: 3(x + 14) = 3
Solve a two-step equation.
Divide both sides by a, then subtract b.
-13
Simplify 32/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
4
Simplify 56/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
What is -228 ÷ 12?
Divide evenly.
Divide -228 by 12.
-19
What is 153 ÷ 9?
Divide evenly.
Divide 153 by 9.
17
Solve for x: -6(x + 8) = -30
Solve a two-step equation.
Divide both sides by a, then subtract b.
-3
Solve for x: 3(x + -15) = -45
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
What is -202 - 193?
Subtract the second number from the first.
Subtract 193 from -202.
-395
What is -304 ÷ 19?
Divide evenly.
Divide -304 by 19.
-16
What is -134 - -20?
Subtract the second number from the first.
Subtract -20 from -134.
-114
What is 150 ÷ 30?
Divide evenly.
Divide 150 by 30.
5
Solve for x: 5(x + -2) = -30
Solve a two-step equation.
Divide both sides by a, then subtract b.
-4
What is -262 + -53?
Add the two numbers.
Add -262 and -53.
-315
Solve for x: 10x + -17 = 183
Solve the linear equation.
Subtract b from both sides, then divide by a.
20
What is 289 ÷ -17?
Divide evenly.
Divide 289 by -17.
-17
What is 14 × -60?
Multiply the numbers.
Multiply 14 by -60.
-840
What is 28 × -18?
Multiply the numbers.
Multiply 28 by -18.
-504
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
Simplify 66/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
What is -53 × -11?
Multiply the numbers.
Multiply -53 by -11.
583
Solve for x: 1x + -30 = -17
Solve the linear equation.
Subtract b from both sides, then divide by a.
13
What is 8^1?
Evaluate the integer exponent.
Multiply 8 by itself 1 times (0th power = 1).
8
What is -39 + 70?
Add the two numbers.
Add -39 and 70.
31
What is -264 - -123?
Subtract the second number from the first.
Subtract -123 from -264.
-141
What is -400 ÷ -20?
Divide evenly.
Divide -400 by -20.
20
What is 283 - 225?
Subtract the second number from the first.
Subtract 225 from 283.
58
Simplify -117/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-9
What is -43 × -44?
Multiply the numbers.
Multiply -43 by -44.
1892
If each item costs 16 dollars and the total cost is -288, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-18
Solve: -5x + -9 ≥ 46
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -11
If each item costs 8 dollars and the total cost is -16, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-2
What is 234 ÷ -13?
Divide evenly.
Divide 234 by -13.
-18
Simplify -7/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-1
What is 56 × -4?
Multiply the numbers.
Multiply 56 by -4.
-224
What is -5 × -45?
Multiply the numbers.
Multiply -5 by -45.
225
Simplify -130/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-10
What is -43 - -80?
Subtract the second number from the first.
Subtract -80 from -43.
37
Solve for x: 8x + -20 = -148
Solve the linear equation.
Subtract b from both sides, then divide by a.
-16
If each item costs -2 dollars and the total cost is 22, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-11
Solve: -8x + -16 < -72
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 7
What is -45 × -38?
Multiply the numbers.
Multiply -45 by -38.
1710
What is -3^0?
Evaluate the integer exponent.
Multiply -3 by itself 0 times (0th power = 1).
1
Solve: 1x + 8 > -8
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -16
What is -148 - -173?
Subtract the second number from the first.
Subtract -173 from -148.
25
What is -63 - 217?
Subtract the second number from the first.
Subtract 217 from -63.
-280
Solve for x: 1(x + -10) = 5
Solve a two-step equation.
Divide both sides by a, then subtract b.
15
What is 59 × 22?
Multiply the numbers.
Multiply 59 by 22.
1298
What is -224 - -9?
Subtract the second number from the first.
Subtract -9 from -224.
-215
Solve for x: -8x + -28 = 84
Solve the linear equation.
Subtract b from both sides, then divide by a.
-14
Solve: 5x + -3 > 87
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 18
What is 211 - 153?
Subtract the second number from the first.
Subtract 153 from 211.
58
If each item costs 18 dollars and the total cost is 90, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
5
Solve for x: 6(x + 10) = 120
Solve a two-step equation.
Divide both sides by a, then subtract b.
10
If each item costs 12 dollars and the total cost is 192, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
16
If each item costs -4 dollars and the total cost is 12, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-3
What is 138 - 284?
Subtract the second number from the first.
Subtract 284 from 138.
-146
Solve for x: -5(x + 10) = 15
Solve a two-step equation.
Divide both sides by a, then subtract b.
-13
If each item costs 14 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 -125 ÷ 25?
Divide evenly.
Divide -125 by 25.
-5
What is -22 ÷ -22?
Divide evenly.
Divide -22 by -22.
1
Solve: -5x + -16 > -6
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -2
Solve: 8x + 7 ≥ 71
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 8
What is -206 + -279?
Add the two numbers.
Add -206 and -279.
-485
Solve for x: -6(x + -1) = -72
Solve a two-step equation.
Divide both sides by a, then subtract b.
13
Solve for x: 4(x + -12) = 0
Solve a two-step equation.
Divide both sides by a, then subtract b.
12
Solve for x: -7x + 11 = -31
Solve the linear equation.
Subtract b from both sides, then divide by a.
6
Solve for x: 3(x + -13) = -9
Solve a two-step equation.
Divide both sides by a, then subtract b.
10
Solve for x: 8x + 12 = 92
Solve the linear equation.
Subtract b from both sides, then divide by a.
10
What is -24 × -60?
Multiply the numbers.
Multiply -24 by -60.
1440
What is -248 + -122?
Add the two numbers.
Add -248 and -122.
-370