question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
What is -3^0?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 0 times (0th power = 1).
|
1
|
If each item costs -10 dollars and the total cost is 50, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-5
|
Solve for x: -7(x + 12) = -35
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
Solve for x: 4(x + 7) = -20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
Solve for x: -8(x + 13) = -144
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
What is 5^4?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 4 times (0th power = 1).
|
625
|
Solve for x: 3x + 29 = -16
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is -20 × 4?
|
Multiply the numbers.
|
Multiply -20 by 4.
|
-80
|
What is -4^1?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 1 times (0th power = 1).
|
-4
|
Solve for x: -6(x + -2) = 66
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve for x: 4(x + 15) = 68
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
2
|
What is -35 × -33?
|
Multiply the numbers.
|
Multiply -35 by -33.
|
1155
|
Simplify 70/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
What is -241 - 127?
|
Subtract the second number from the first.
|
Subtract 127 from -241.
|
-368
|
What is -43 × -46?
|
Multiply the numbers.
|
Multiply -43 by -46.
|
1978
|
What is -36 × -6?
|
Multiply the numbers.
|
Multiply -36 by -6.
|
216
|
What is 251 - 47?
|
Subtract the second number from the first.
|
Subtract 47 from 251.
|
204
|
Simplify 48/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
If each item costs 14 dollars and the total cost is 294, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
21
|
What is 157 - -236?
|
Subtract the second number from the first.
|
Subtract -236 from 157.
|
393
|
Solve for x: -6x + 8 = 8
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
Solve for x: -5(x + 9) = -65
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
Simplify 12/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
What is -82 + 40?
|
Add the two numbers.
|
Add -82 and 40.
|
-42
|
Solve: 3x + 8 < 56
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 16
|
If each item costs 14 dollars and the total cost is -84, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-6
|
Solve: 7x + -4 ≥ 3
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 1
|
Solve: 3x + -12 > -21
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -3
|
What is -239 + -63?
|
Add the two numbers.
|
Add -239 and -63.
|
-302
|
Solve for x: 2(x + -14) = -52
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
Solve: -9x + 6 ≥ -75
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 9
|
What is -284 + 293?
|
Add the two numbers.
|
Add -284 and 293.
|
9
|
Simplify -50/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
If each item costs 17 dollars and the total cost is -85, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-5
|
Solve for x: 11x + 2 = -196
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
If each item costs 1 dollars and the total cost is -20, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
Solve: 9x + -7 < -124
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -13
|
Solve for x: 12x + 30 = 126
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
Solve: 9x + -5 > 40
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 5
|
Solve for x: -2(x + 7) = -28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
Solve: -8x + -11 > -27
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 2
|
Simplify 40/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
What is 308 ÷ -22?
|
Divide evenly.
|
Divide 308 by -22.
|
-14
|
Solve for x: -7(x + -7) = 84
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
Solve: -8x + 19 ≤ 139
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -15
|
What is -66 - -78?
|
Subtract the second number from the first.
|
Subtract -78 from -66.
|
12
|
What is -11 × -32?
|
Multiply the numbers.
|
Multiply -11 by -32.
|
352
|
What is 256 ÷ -16?
|
Divide evenly.
|
Divide 256 by -16.
|
-16
|
Solve for x: -8(x + -7) = 168
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Solve: 4x + -11 > -23
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -3
|
What is 3^1?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 1 times (0th power = 1).
|
3
|
What is 6^5?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 5 times (0th power = 1).
|
7776
|
What is -10 + -265?
|
Add the two numbers.
|
Add -10 and -265.
|
-275
|
Solve for x: -3(x + -10) = 12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
What is -25 × 50?
|
Multiply the numbers.
|
Multiply -25 by 50.
|
-1250
|
What is -221 - -106?
|
Subtract the second number from the first.
|
Subtract -106 from -221.
|
-115
|
Solve for x: -10x + 3 = -187
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
Simplify -135/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
What is -241 - -76?
|
Subtract the second number from the first.
|
Subtract -76 from -241.
|
-165
|
Simplify -33/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is 40 + -9?
|
Add the two numbers.
|
Add 40 and -9.
|
31
|
What is 43 - -234?
|
Subtract the second number from the first.
|
Subtract -234 from 43.
|
277
|
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
|
Simplify -39/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is -6^0?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 0 times (0th power = 1).
|
1
|
What is 254 - 21?
|
Subtract the second number from the first.
|
Subtract 21 from 254.
|
233
|
Simplify -27/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
Solve for x: 6x + -6 = 78
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
14
|
Solve for x: 4(x + 7) = 80
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
Simplify 0/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
What is -230 - 261?
|
Subtract the second number from the first.
|
Subtract 261 from -230.
|
-491
|
Solve for x: 4(x + 7) = 44
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
What is 8^0?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 0 times (0th power = 1).
|
1
|
What is 15 - 115?
|
Subtract the second number from the first.
|
Subtract 115 from 15.
|
-100
|
Solve for x: 8(x + -3) = -112
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
Solve: -7x + 14 ≥ 14
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 0
|
What is -241 - 116?
|
Subtract the second number from the first.
|
Subtract 116 from -241.
|
-357
|
What is 5^0?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 0 times (0th power = 1).
|
1
|
Solve for x: 5(x + 14) = 60
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
Solve for x: 6(x + 11) = 108
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
What is 21 ÷ 3?
|
Divide evenly.
|
Divide 21 by 3.
|
7
|
Solve for x: 3(x + 15) = 63
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
Simplify 77/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
What is -47 × -14?
|
Multiply the numbers.
|
Multiply -47 by -14.
|
658
|
What is -106 - -160?
|
Subtract the second number from the first.
|
Subtract -160 from -106.
|
54
|
What is -7^3?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 3 times (0th power = 1).
|
-343
|
Solve for x: -3(x + 15) = -57
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
What is -259 - -87?
|
Subtract the second number from the first.
|
Subtract -87 from -259.
|
-172
|
What is 31 × 23?
|
Multiply the numbers.
|
Multiply 31 by 23.
|
713
|
Simplify 25/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
Solve for x: -12x + -10 = 50
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
Solve for x: -12x + -1 = -37
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
What is 24 - 174?
|
Subtract the second number from the first.
|
Subtract 174 from 24.
|
-150
|
What is -28 × 50?
|
Multiply the numbers.
|
Multiply -28 by 50.
|
-1400
|
Solve: -6x + -12 > -6
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -1
|
What is 191 - 241?
|
Subtract the second number from the first.
|
Subtract 241 from 191.
|
-50
|
What is 280 ÷ -20?
|
Divide evenly.
|
Divide 280 by -20.
|
-14
|
What is -45 ÷ -9?
|
Divide evenly.
|
Divide -45 by -9.
|
5
|
What is -231 - 54?
|
Subtract the second number from the first.
|
Subtract 54 from -231.
|
-285
|
Solve: -9x + -9 ≤ 126
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -15
|
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