question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
If each item costs -10 dollars and the total cost is -130, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
What is 320 ÷ 16?
|
Divide evenly.
|
Divide 320 by 16.
|
20
|
Solve: 10x + -10 < 110
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 12
|
Solve for x: 11x + -16 = -126
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
What is 25 + 232?
|
Add the two numbers.
|
Add 25 and 232.
|
257
|
What is -9 × -53?
|
Multiply the numbers.
|
Multiply -9 by -53.
|
477
|
Simplify -70/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
What is -231 - 63?
|
Subtract the second number from the first.
|
Subtract 63 from -231.
|
-294
|
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 for x: 9x + 4 = -167
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
What is 217 + 239?
|
Add the two numbers.
|
Add 217 and 239.
|
456
|
Solve: -8x + -10 < 54
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -8
|
What is -28 ÷ -14?
|
Divide evenly.
|
Divide -28 by -14.
|
2
|
Solve: 3x + 3 > -27
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -10
|
What is 2 × 37?
|
Multiply the numbers.
|
Multiply 2 by 37.
|
74
|
What is -66 ÷ 22?
|
Divide evenly.
|
Divide -66 by 22.
|
-3
|
Simplify 168/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
What is 142 - -149?
|
Subtract the second number from the first.
|
Subtract -149 from 142.
|
291
|
What is -30 ÷ 2?
|
Divide evenly.
|
Divide -30 by 2.
|
-15
|
Solve for x: 3(x + 11) = 51
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
Simplify 77/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
What is 103 - 62?
|
Subtract the second number from the first.
|
Subtract 62 from 103.
|
41
|
What is -25 - 178?
|
Subtract the second number from the first.
|
Subtract 178 from -25.
|
-203
|
If each item costs 5 dollars and the total cost is 50, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
10
|
What is -294 - 227?
|
Subtract the second number from the first.
|
Subtract 227 from -294.
|
-521
|
What is 189 ÷ 27?
|
Divide evenly.
|
Divide 189 by 27.
|
7
|
Solve for x: -2x + 11 = -29
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
Solve for x: -11x + 9 = -134
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
What is 120 ÷ -10?
|
Divide evenly.
|
Divide 120 by -10.
|
-12
|
If each item costs -10 dollars and the total cost is 110, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-11
|
Solve for x: -3x + -13 = 35
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-16
|
Solve: -7x + 6 ≤ -85
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 13
|
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.
|
-14
|
What is 21 ÷ -7?
|
Divide evenly.
|
Divide 21 by -7.
|
-3
|
Solve: -3x + -16 > 32
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -16
|
What is -1^2?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 2 times (0th power = 1).
|
1
|
Solve for x: -7(x + 12) = -154
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
What is -197 - 178?
|
Subtract the second number from the first.
|
Subtract 178 from -197.
|
-375
|
Solve for x: 1x + -25 = -42
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
What is -133 - -151?
|
Subtract the second number from the first.
|
Subtract -151 from -133.
|
18
|
Solve: 10x + 5 ≥ -175
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -18
|
What is -56 ÷ -4?
|
Divide evenly.
|
Divide -56 by -4.
|
14
|
What is 5^3?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 3 times (0th power = 1).
|
125
|
What is -205 + 79?
|
Add the two numbers.
|
Add -205 and 79.
|
-126
|
Solve for x: -7x + 25 = 53
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
What is 58 × 45?
|
Multiply the numbers.
|
Multiply 58 by 45.
|
2610
|
What is -22 - 45?
|
Subtract the second number from the first.
|
Subtract 45 from -22.
|
-67
|
What is 30 × 4?
|
Multiply the numbers.
|
Multiply 30 by 4.
|
120
|
If each item costs 13 dollars and the total cost is -221, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-17
|
What is 19 × 11?
|
Multiply the numbers.
|
Multiply 19 by 11.
|
209
|
Simplify 80/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
Simplify -99/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
Simplify 48/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
Simplify -36/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
Simplify 15/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Simplify 40/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is 23 × -46?
|
Multiply the numbers.
|
Multiply 23 by -46.
|
-1058
|
Simplify -72/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
Solve for x: -1(x + -13) = 3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
What is -1 × -23?
|
Multiply the numbers.
|
Multiply -1 by -23.
|
23
|
Solve: -8x + 2 > -150
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 19
|
What is 8 × -26?
|
Multiply the numbers.
|
Multiply 8 by -26.
|
-208
|
Solve for x: 11x + 29 = 227
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
If each item costs 12 dollars and the total cost is 288, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
24
|
What is -2^1?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 1 times (0th power = 1).
|
-2
|
Solve for x: -5(x + 10) = -40
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
What is 256 - -227?
|
Subtract the second number from the first.
|
Subtract -227 from 256.
|
483
|
What is -76 ÷ -19?
|
Divide evenly.
|
Divide -76 by -19.
|
4
|
What is 164 - -282?
|
Subtract the second number from the first.
|
Subtract -282 from 164.
|
446
|
If each item costs 18 dollars and the total cost is 360, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
What is -255 + 67?
|
Add the two numbers.
|
Add -255 and 67.
|
-188
|
If each item costs 13 dollars and the total cost is 156, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
What is -283 + -76?
|
Add the two numbers.
|
Add -283 and -76.
|
-359
|
Solve for x: -7x + -24 = -94
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is -1^2?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 2 times (0th power = 1).
|
1
|
Solve for x: -2(x + 11) = -8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
Solve: 7x + -6 ≥ 29
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 5
|
What is -8^2?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 2 times (0th power = 1).
|
64
|
If each item costs 17 dollars and the total cost is 408, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
24
|
What is 36 × -50?
|
Multiply the numbers.
|
Multiply 36 by -50.
|
-1800
|
Simplify 36/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
What is -229 - -174?
|
Subtract the second number from the first.
|
Subtract -174 from -229.
|
-55
|
What is -44 × -24?
|
Multiply the numbers.
|
Multiply -44 by -24.
|
1056
|
Solve for x: 5(x + -9) = -35
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
2
|
What is 37 × -13?
|
Multiply the numbers.
|
Multiply 37 by -13.
|
-481
|
What is 480 ÷ -30?
|
Divide evenly.
|
Divide 480 by -30.
|
-16
|
What is -1^1?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 1 times (0th power = 1).
|
-1
|
Solve for x: -4x + -7 = 49
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
Solve for x: 9x + 3 = -87
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
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
|
Simplify 24/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
What is 2^5?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 5 times (0th power = 1).
|
32
|
What is -24 × 23?
|
Multiply the numbers.
|
Multiply -24 by 23.
|
-552
|
Simplify -16/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
What is 16 ÷ 8?
|
Divide evenly.
|
Divide 16 by 8.
|
2
|
What is -269 + -210?
|
Add the two numbers.
|
Add -269 and -210.
|
-479
|
What is -4^5?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 5 times (0th power = 1).
|
-1024
|
What is -202 + 209?
|
Add the two numbers.
|
Add -202 and 209.
|
7
|
If each item costs -6 dollars and the total cost is 90, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
Solve for x: 9x + 5 = -58
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-7
|
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