question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Simplify -35/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
What is -162 ÷ 9?
|
Divide evenly.
|
Divide -162 by 9.
|
-18
|
Solve: 10x + -16 ≤ 164
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 18
|
What is -25 × 14?
|
Multiply the numbers.
|
Multiply -25 by 14.
|
-350
|
Solve for x: -6(x + 3) = 12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
Simplify -5/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
What is 280 ÷ 14?
|
Divide evenly.
|
Divide 280 by 14.
|
20
|
Solve for x: 4(x + 3) = 72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve for x: -1(x + 9) = 2
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
If each item costs 10 dollars and the total cost is 170, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
17
|
What is 75 + 108?
|
Add the two numbers.
|
Add 75 and 108.
|
183
|
What is 20 + -97?
|
Add the two numbers.
|
Add 20 and -97.
|
-77
|
What is -84 ÷ 28?
|
Divide evenly.
|
Divide -84 by 28.
|
-3
|
Simplify 30/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
What is 8 × 41?
|
Multiply the numbers.
|
Multiply 8 by 41.
|
328
|
Solve for x: -7x + -22 = -36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
Solve for x: -11x + -13 = -68
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
5
|
If each item costs 17 dollars and the total cost is 102, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
What is -4^4?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 4 times (0th power = 1).
|
256
|
What is 102 - 219?
|
Subtract the second number from the first.
|
Subtract 219 from 102.
|
-117
|
Solve for x: -2(x + -14) = 26
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
What is 39 × -40?
|
Multiply the numbers.
|
Multiply 39 by -40.
|
-1560
|
What is -137 + -123?
|
Add the two numbers.
|
Add -137 and -123.
|
-260
|
Simplify 26/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
Solve: -7x + -14 ≤ -7
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -1
|
Solve for x: -4(x + 1) = -52
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
What is -112 ÷ 14?
|
Divide evenly.
|
Divide -112 by 14.
|
-8
|
What is -128 + 107?
|
Add the two numbers.
|
Add -128 and 107.
|
-21
|
If each item costs 1 dollars and the total cost is -16, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-16
|
What is 7^5?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 5 times (0th power = 1).
|
16807
|
What is -60 + -200?
|
Add the two numbers.
|
Add -60 and -200.
|
-260
|
What is -68 - 67?
|
Subtract the second number from the first.
|
Subtract 67 from -68.
|
-135
|
What is -6^2?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 2 times (0th power = 1).
|
36
|
If each item costs 20 dollars and the total cost is -120, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-6
|
Simplify -108/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
Solve: 5x + 20 > 70
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 10
|
Solve: 8x + 3 ≤ -101
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -13
|
Simplify -80/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
What is -47 × -45?
|
Multiply the numbers.
|
Multiply -47 by -45.
|
2115
|
Solve: 2x + -10 < 28
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 19
|
Simplify -30/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
What is -223 + 217?
|
Add the two numbers.
|
Add -223 and 217.
|
-6
|
What is -35 × -39?
|
Multiply the numbers.
|
Multiply -35 by -39.
|
1365
|
What is 263 + 9?
|
Add the two numbers.
|
Add 263 and 9.
|
272
|
What is -267 - 49?
|
Subtract the second number from the first.
|
Subtract 49 from -267.
|
-316
|
Solve: 9x + -17 > -134
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -13
|
Solve for x: -5(x + 12) = -85
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
What is -10 × 9?
|
Multiply the numbers.
|
Multiply -10 by 9.
|
-90
|
If each item costs 5 dollars and the total cost is -80, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-16
|
What is -8^5?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 5 times (0th power = 1).
|
-32768
|
What is 197 + 291?
|
Add the two numbers.
|
Add 197 and 291.
|
488
|
Simplify 32/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
What is 144 ÷ -16?
|
Divide evenly.
|
Divide 144 by -16.
|
-9
|
What is 14 × 46?
|
Multiply the numbers.
|
Multiply 14 by 46.
|
644
|
What is 392 ÷ 28?
|
Divide evenly.
|
Divide 392 by 28.
|
14
|
If each item costs 3 dollars and the total cost is 3, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
1
|
Simplify -8/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
What is 44 ÷ 22?
|
Divide evenly.
|
Divide 44 by 22.
|
2
|
If each item costs -10 dollars and the total cost is -230, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
If each item costs -8 dollars and the total cost is 40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-5
|
Solve for x: -5(x + 9) = 15
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
What is 230 + -38?
|
Add the two numbers.
|
Add 230 and -38.
|
192
|
Solve for x: -1(x + 9) = -9
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
What is 7^1?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 1 times (0th power = 1).
|
7
|
What is -186 - -106?
|
Subtract the second number from the first.
|
Subtract -106 from -186.
|
-80
|
What is 2 + -88?
|
Add the two numbers.
|
Add 2 and -88.
|
-86
|
Solve for x: 7x + 2 = -89
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
Solve: -10x + -16 ≤ 184
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -20
|
If each item costs -3 dollars and the total cost is -48, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
16
|
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.
|
-19
|
What is 40 ÷ -5?
|
Divide evenly.
|
Divide 40 by -5.
|
-8
|
What is 32 - 123?
|
Subtract the second number from the first.
|
Subtract 123 from 32.
|
-91
|
Solve for x: -4(x + 1) = 40
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
Solve for x: 5x + -3 = -23
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
What is -231 - 178?
|
Subtract the second number from the first.
|
Subtract 178 from -231.
|
-409
|
What is -15 × 2?
|
Multiply the numbers.
|
Multiply -15 by 2.
|
-30
|
What is -51 × 3?
|
Multiply the numbers.
|
Multiply -51 by 3.
|
-153
|
Solve for x: -2x + -9 = -35
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
Simplify -10/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is -73 - 49?
|
Subtract the second number from the first.
|
Subtract 49 from -73.
|
-122
|
Solve: 4x + 2 ≥ -14
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -4
|
Solve for x: -1x + 25 = 42
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Solve for x: -2(x + 5) = -36
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
Solve for x: -8(x + -13) = 176
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
If each item costs 12 dollars and the total cost is -240, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
What is 180 - 180?
|
Subtract the second number from the first.
|
Subtract 180 from 180.
|
0
|
Simplify -9/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
What is 9 × 19?
|
Multiply the numbers.
|
Multiply 9 by 19.
|
171
|
Simplify 36/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
What is 263 - -291?
|
Subtract the second number from the first.
|
Subtract -291 from 263.
|
554
|
What is 7 × -29?
|
Multiply the numbers.
|
Multiply 7 by -29.
|
-203
|
What is 3 - 12?
|
Subtract the second number from the first.
|
Subtract 12 from 3.
|
-9
|
Simplify -84/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
What is -40 ÷ 2?
|
Divide evenly.
|
Divide -40 by 2.
|
-20
|
Solve for x: 4(x + 2) = 40
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
If each item costs 7 dollars and the total cost is 105, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
15
|
If each item costs -1 dollars and the total cost is -28, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
28
|
What is 150 - -58?
|
Subtract the second number from the first.
|
Subtract -58 from 150.
|
208
|
Solve: -10x + 18 < 58
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -4
|
Solve: -7x + -11 > 129
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -20
|
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