question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Simplify 96/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
What is -13 ÷ -13?
Divide evenly.
Divide -13 by -13.
1
Solve: 10x + -14 < -54
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -4
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.
18
What is -7^4?
Evaluate the integer exponent.
Multiply -7 by itself 4 times (0th power = 1).
2401
What is -214 - -172?
Subtract the second number from the first.
Subtract -172 from -214.
-42
What is 152 - 77?
Subtract the second number from the first.
Subtract 77 from 152.
75
What is 2^0?
Evaluate the integer exponent.
Multiply 2 by itself 0 times (0th power = 1).
1
If each item costs 10 dollars and the total cost is 290, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
29
If each item costs -8 dollars and the total cost is -48, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
6
What is -264 ÷ 22?
Divide evenly.
Divide -264 by 22.
-12
What is 58 + 277?
Add the two numbers.
Add 58 and 277.
335
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.
12
Solve for x: 2(x + 11) = 2
Solve a two-step equation.
Divide both sides by a, then subtract b.
-10
Solve for x: -8x + -16 = 80
Solve the linear equation.
Subtract b from both sides, then divide by a.
-12
What is 16 - 122?
Subtract the second number from the first.
Subtract 122 from 16.
-106
Solve for x: -9x + 8 = 71
Solve the linear equation.
Subtract b from both sides, then divide by a.
-7
Simplify 7/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
1
Solve for x: 12x + 3 = 123
Solve the linear equation.
Subtract b from both sides, then divide by a.
10
What is -117 - 208?
Subtract the second number from the first.
Subtract 208 from -117.
-325
What is -263 - 84?
Subtract the second number from the first.
Subtract 84 from -263.
-347
Solve for x: -9x + 21 = -51
Solve the linear equation.
Subtract b from both sides, then divide by a.
8
Solve for x: 2(x + 2) = 8
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
Solve: 9x + 17 ≥ 116
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 11
Solve: -4x + 4 < 40
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -9
What is -6^1?
Evaluate the integer exponent.
Multiply -6 by itself 1 times (0th power = 1).
-6
Solve for x: -5x + 11 = -39
Solve the linear equation.
Subtract b from both sides, then divide by a.
10
If each item costs 5 dollars and the total cost is 30, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
6
What is 34 × 56?
Multiply the numbers.
Multiply 34 by 56.
1904
What is -119 + -34?
Add the two numbers.
Add -119 and -34.
-153
What is -120 - 290?
Subtract the second number from the first.
Subtract 290 from -120.
-410
What is 0 ÷ -25?
Divide evenly.
Divide 0 by -25.
0
What is -45 ÷ -3?
Divide evenly.
Divide -45 by -3.
15
If each item costs -9 dollars and the total cost is -198, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
22
What is -34 + -140?
Add the two numbers.
Add -34 and -140.
-174
Solve for x: -1(x + 15) = -15
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
What is 22 × 37?
Multiply the numbers.
Multiply 22 by 37.
814
What is 126 ÷ -7?
Divide evenly.
Divide 126 by -7.
-18
If each item costs -8 dollars and the total cost is -48, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
6
What is 5 × -54?
Multiply the numbers.
Multiply 5 by -54.
-270
What is 8^2?
Evaluate the integer exponent.
Multiply 8 by itself 2 times (0th power = 1).
64
What is 3^0?
Evaluate the integer exponent.
Multiply 3 by itself 0 times (0th power = 1).
1
What is 44 × 28?
Multiply the numbers.
Multiply 44 by 28.
1232
What is -6^0?
Evaluate the integer exponent.
Multiply -6 by itself 0 times (0th power = 1).
1
Solve for x: -1(x + 8) = -7
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
Solve: 1x + -8 > -9
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -1
Simplify -4/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-4
What is -56 × -28?
Multiply the numbers.
Multiply -56 by -28.
1568
Simplify -52/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-4
Simplify 1/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
1
What is -47 - -297?
Subtract the second number from the first.
Subtract -297 from -47.
250
Solve for x: 4(x + 12) = 60
Solve a two-step equation.
Divide both sides by a, then subtract b.
3
Simplify -4/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-4
Solve for x: -5(x + -8) = 25
Solve a two-step equation.
Divide both sides by a, then subtract b.
3
What is -160 + 160?
Add the two numbers.
Add -160 and 160.
0
What is -41 × -21?
Multiply the numbers.
Multiply -41 by -21.
861
What is -31 × 6?
Multiply the numbers.
Multiply -31 by 6.
-186
What is 53 × 23?
Multiply the numbers.
Multiply 53 by 23.
1219
Solve: 6x + -17 ≥ 13
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 5
What is -160 ÷ 8?
Divide evenly.
Divide -160 by 8.
-20
If each item costs -9 dollars and the total cost is -171, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
19
Solve for x: 8x + 19 = -53
Solve the linear equation.
Subtract b from both sides, then divide by a.
-9
Simplify 45/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
Solve: -8x + -1 > -49
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 6
What is -29 - 58?
Subtract the second number from the first.
Subtract 58 from -29.
-87
What is 117 - -203?
Subtract the second number from the first.
Subtract -203 from 117.
320
Solve: -1x + 10 ≤ 7
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 3
What is -190 - 80?
Subtract the second number from the first.
Subtract 80 from -190.
-270
What is -59 × 0?
Multiply the numbers.
Multiply -59 by 0.
0
If each item costs 6 dollars and the total cost is -48, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-8
If each item costs 20 dollars and the total cost is 380, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
19
Simplify -144/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-12
What is -84 ÷ -6?
Divide evenly.
Divide -84 by -6.
14
What is -5^4?
Evaluate the integer exponent.
Multiply -5 by itself 4 times (0th power = 1).
625
Solve for x: 4(x + -1) = 4
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
If each item costs 20 dollars and the total cost is 440, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
22
What is -56 × -17?
Multiply the numbers.
Multiply -56 by -17.
952
Solve for x: -12x + 18 = 198
Solve the linear equation.
Subtract b from both sides, then divide by a.
-15
What is -52 × -29?
Multiply the numbers.
Multiply -52 by -29.
1508
What is -4^0?
Evaluate the integer exponent.
Multiply -4 by itself 0 times (0th power = 1).
1
What is -247 - -85?
Subtract the second number from the first.
Subtract -85 from -247.
-162
What is -420 ÷ 30?
Divide evenly.
Divide -420 by 30.
-14
If each item costs 10 dollars and the total cost is -90, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-9
What is 220 + 204?
Add the two numbers.
Add 220 and 204.
424
What is 7^3?
Evaluate the integer exponent.
Multiply 7 by itself 3 times (0th power = 1).
343
Simplify -24/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-12
Solve: 1x + 18 > 30
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 12
Solve: -4x + 13 ≥ 77
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -16
What is -80 + -167?
Add the two numbers.
Add -80 and -167.
-247
What is -7^4?
Evaluate the integer exponent.
Multiply -7 by itself 4 times (0th power = 1).
2401
Simplify -40/5
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
Solve for x: -4x + -10 = 34
Solve the linear equation.
Subtract b from both sides, then divide by a.
-11
What is 9 × 43?
Multiply the numbers.
Multiply 9 by 43.
387
What is -59 × -3?
Multiply the numbers.
Multiply -59 by -3.
177
What is -228 ÷ -12?
Divide evenly.
Divide -228 by -12.
19
What is -189 - -208?
Subtract the second number from the first.
Subtract -208 from -189.
19
What is -158 - -194?
Subtract the second number from the first.
Subtract -194 from -158.
36
What is 6^0?
Evaluate the integer exponent.
Multiply 6 by itself 0 times (0th power = 1).
1
Solve: -2x + -8 ≤ 12
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -10
What is -24 × -1?
Multiply the numbers.
Multiply -24 by -1.
24