question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Simplify -50/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
What is 136 + -147?
|
Add the two numbers.
|
Add 136 and -147.
|
-11
|
If each item costs 10 dollars and the total cost is 210, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
21
|
Solve: 6x + 16 ≤ -56
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -12
|
If each item costs 9 dollars and the total cost is 63, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
Solve: -7x + 0 ≤ -56
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 8
|
What is -252 + 28?
|
Add the two numbers.
|
Add -252 and 28.
|
-224
|
What is -276 - -14?
|
Subtract the second number from the first.
|
Subtract -14 from -276.
|
-262
|
Solve for x: 1(x + -14) = -13
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
Solve for x: 7x + -27 = 92
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
Solve: -5x + 2 < -73
|
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
|
Solve for x: -12x + -7 = -31
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
What is -5^3?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 3 times (0th power = 1).
|
-125
|
What is 149 + -109?
|
Add the two numbers.
|
Add 149 and -109.
|
40
|
What is -290 - -257?
|
Subtract the second number from the first.
|
Subtract -257 from -290.
|
-33
|
What is -4^4?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 4 times (0th power = 1).
|
256
|
Solve for x: -2(x + -15) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve for x: -1(x + 2) = 8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
Solve for x: -8(x + 1) = -16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
Simplify 80/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
What is -9 × 50?
|
Multiply the numbers.
|
Multiply -9 by 50.
|
-450
|
Solve for x: 4(x + 15) = 72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
What is 2^3?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 3 times (0th power = 1).
|
8
|
What is 1^0?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 0 times (0th power = 1).
|
1
|
Simplify -91/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
If each item costs 19 dollars and the total cost is 228, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
Solve for x: -5x + -27 = -117
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
Solve for x: -6x + -20 = -122
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
What is 4^1?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 1 times (0th power = 1).
|
4
|
What is -37 - 243?
|
Subtract the second number from the first.
|
Subtract 243 from -37.
|
-280
|
What is -130 - 249?
|
Subtract the second number from the first.
|
Subtract 249 from -130.
|
-379
|
What is 40 × -49?
|
Multiply the numbers.
|
Multiply 40 by -49.
|
-1960
|
Solve for x: 11x + -8 = 25
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
Simplify 12/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
What is -8^5?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 5 times (0th power = 1).
|
-32768
|
Solve for x: 4x + 1 = 21
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
5
|
Simplify 120/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
What is 224 + 53?
|
Add the two numbers.
|
Add 224 and 53.
|
277
|
Simplify -110/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
What is -5 ÷ 5?
|
Divide evenly.
|
Divide -5 by 5.
|
-1
|
What is 3 × 20?
|
Multiply the numbers.
|
Multiply 3 by 20.
|
60
|
Simplify 3/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Solve: -3x + -11 > -26
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 5
|
Simplify 0/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
If each item costs 18 dollars and the total cost is 108, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
What is -105 ÷ -15?
|
Divide evenly.
|
Divide -105 by -15.
|
7
|
What is -112 ÷ -8?
|
Divide evenly.
|
Divide -112 by -8.
|
14
|
Solve for x: 10x + 8 = 28
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
If each item costs 11 dollars and the total cost is 110, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
10
|
What is -89 + -269?
|
Add the two numbers.
|
Add -89 and -269.
|
-358
|
If each item costs -1 dollars and the total cost is -30, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
30
|
Solve: 9x + 2 ≤ 56
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 6
|
Solve for x: -5x + 0 = 70
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
Solve for x: -4x + 14 = 2
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
Solve for x: -8x + 22 = 118
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
What is -7^4?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 4 times (0th power = 1).
|
2401
|
Solve: 1x + 10 < 16
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 6
|
Solve for x: -2(x + 9) = 2
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
What is -350 ÷ -25?
|
Divide evenly.
|
Divide -350 by -25.
|
14
|
Solve for x: 5x + 28 = -52
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-16
|
What is 44 ÷ 11?
|
Divide evenly.
|
Divide 44 by 11.
|
4
|
Solve for x: 2x + 24 = 56
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
Simplify -128/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
What is 12 × -7?
|
Multiply the numbers.
|
Multiply 12 by -7.
|
-84
|
What is -152 - 260?
|
Subtract the second number from the first.
|
Subtract 260 from -152.
|
-412
|
What is -150 ÷ -30?
|
Divide evenly.
|
Divide -150 by -30.
|
5
|
What is -41 × 17?
|
Multiply the numbers.
|
Multiply -41 by 17.
|
-697
|
Solve for x: -1x + -12 = -29
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
Solve: -5x + 13 < 53
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -8
|
What is -70 - 10?
|
Subtract the second number from the first.
|
Subtract 10 from -70.
|
-80
|
Simplify -30/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
What is 162 + 250?
|
Add the two numbers.
|
Add 162 and 250.
|
412
|
If each item costs 13 dollars and the total cost is 377, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
29
|
What is 65 ÷ 13?
|
Divide evenly.
|
Divide 65 by 13.
|
5
|
Solve for x: 8(x + 9) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
What is -57 × 51?
|
Multiply the numbers.
|
Multiply -57 by 51.
|
-2907
|
Simplify 14/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
Simplify 66/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
Solve: -9x + 19 ≥ 19
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 0
|
What is -86 + 124?
|
Add the two numbers.
|
Add -86 and 124.
|
38
|
What is 60 × -8?
|
Multiply the numbers.
|
Multiply 60 by -8.
|
-480
|
Solve: -10x + -12 ≥ -202
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 19
|
What is -30 × -14?
|
Multiply the numbers.
|
Multiply -30 by -14.
|
420
|
What is -6^4?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 4 times (0th power = 1).
|
1296
|
Solve for x: -1(x + -1) = -10
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is -232 ÷ -29?
|
Divide evenly.
|
Divide -232 by -29.
|
8
|
What is -264 + 41?
|
Add the two numbers.
|
Add -264 and 41.
|
-223
|
What is -9 × -13?
|
Multiply the numbers.
|
Multiply -9 by -13.
|
117
|
What is 186 - 92?
|
Subtract the second number from the first.
|
Subtract 92 from 186.
|
94
|
Simplify 28/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
What is -1^4?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 4 times (0th power = 1).
|
1
|
What is -173 - -218?
|
Subtract the second number from the first.
|
Subtract -218 from -173.
|
45
|
Solve for x: -9x + -12 = -75
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
What is -176 - -22?
|
Subtract the second number from the first.
|
Subtract -22 from -176.
|
-154
|
If each item costs 18 dollars and the total cost is -252, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-14
|
What is 118 - -208?
|
Subtract the second number from the first.
|
Subtract -208 from 118.
|
326
|
What is -7^0?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 0 times (0th power = 1).
|
1
|
What is 63 ÷ 7?
|
Divide evenly.
|
Divide 63 by 7.
|
9
|
What is -4^4?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 4 times (0th power = 1).
|
256
|
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