question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
If each item costs -4 dollars and the total cost is -96, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
24
|
Solve for x: 2x + 9 = 47
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
Solve: 1x + -17 ≤ -3
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 14
|
Solve for x: 6(x + 8) = -24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
Solve for x: 10x + -5 = 55
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
What is 16 × -52?
|
Multiply the numbers.
|
Multiply 16 by -52.
|
-832
|
What is -26 ÷ -13?
|
Divide evenly.
|
Divide -26 by -13.
|
2
|
If each item costs 14 dollars and the total cost is 56, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
4
|
What is 260 + -300?
|
Add the two numbers.
|
Add 260 and -300.
|
-40
|
Solve: 10x + -2 < -172
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -17
|
What is -166 + 155?
|
Add the two numbers.
|
Add -166 and 155.
|
-11
|
What is -336 ÷ -21?
|
Divide evenly.
|
Divide -336 by -21.
|
16
|
If each item costs 18 dollars and the total cost is -324, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
Solve for x: -6(x + -8) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
Solve for x: 4(x + 6) = 44
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
What is -216 - -137?
|
Subtract the second number from the first.
|
Subtract -137 from -216.
|
-79
|
What is 8 - 44?
|
Subtract the second number from the first.
|
Subtract 44 from 8.
|
-36
|
Solve: -6x + 17 > -85
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 17
|
If each item costs -8 dollars and the total cost is -56, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
Solve for x: -4(x + 10) = 20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
Solve for x: 6x + 7 = -71
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
What is 252 - 226?
|
Subtract the second number from the first.
|
Subtract 226 from 252.
|
26
|
Solve: 6x + -10 ≥ -124
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -19
|
What is -504 ÷ -28?
|
Divide evenly.
|
Divide -504 by -28.
|
18
|
Simplify 80/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is 276 - -177?
|
Subtract the second number from the first.
|
Subtract -177 from 276.
|
453
|
Simplify -15/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is -192 - -172?
|
Subtract the second number from the first.
|
Subtract -172 from -192.
|
-20
|
Solve: 9x + -9 < 18
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 3
|
What is 3^2?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 2 times (0th power = 1).
|
9
|
What is 6^2?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 2 times (0th power = 1).
|
36
|
Solve for x: -6x + 19 = 121
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
What is -283 - 261?
|
Subtract the second number from the first.
|
Subtract 261 from -283.
|
-544
|
What is 4^2?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 2 times (0th power = 1).
|
16
|
Solve: 10x + -15 > -45
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -3
|
Simplify 0/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
What is 44 + 108?
|
Add the two numbers.
|
Add 44 and 108.
|
152
|
Solve: 5x + 7 < -28
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -7
|
If each item costs 11 dollars and the total cost is -44, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-4
|
What is 1^0?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 0 times (0th power = 1).
|
1
|
Solve for x: 1x + 10 = 6
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
What is 132 - 67?
|
Subtract the second number from the first.
|
Subtract 67 from 132.
|
65
|
Solve for x: -5x + 25 = -10
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
Solve: -8x + -14 > 90
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -13
|
Solve: 10x + 7 ≤ 47
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 4
|
What is -560 ÷ 28?
|
Divide evenly.
|
Divide -560 by 28.
|
-20
|
What is -3^5?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 5 times (0th power = 1).
|
-243
|
What is -7^3?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 3 times (0th power = 1).
|
-343
|
What is 102 + -143?
|
Add the two numbers.
|
Add 102 and -143.
|
-41
|
Solve: -4x + 18 > 94
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -19
|
Solve for x: -7x + -9 = -149
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
Solve for x: 11x + 13 = 211
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
If each item costs 18 dollars and the total cost is -234, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-13
|
What is -135 + 251?
|
Add the two numbers.
|
Add -135 and 251.
|
116
|
What is -4^2?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 2 times (0th power = 1).
|
16
|
What is -24 ÷ 4?
|
Divide evenly.
|
Divide -24 by 4.
|
-6
|
Solve for x: -1x + -27 = -9
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is -238 - -40?
|
Subtract the second number from the first.
|
Subtract -40 from -238.
|
-198
|
What is 84 - 60?
|
Subtract the second number from the first.
|
Subtract 60 from 84.
|
24
|
What is -18 × -41?
|
Multiply the numbers.
|
Multiply -18 by -41.
|
738
|
If each item costs 3 dollars and the total cost is 27, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
9
|
What is -36 + -180?
|
Add the two numbers.
|
Add -36 and -180.
|
-216
|
Solve: 4x + -19 > -79
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -15
|
Solve for x: 3x + 5 = 35
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
Simplify 44/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
Solve for x: 1(x + 3) = 6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
What is 36 + 140?
|
Add the two numbers.
|
Add 36 and 140.
|
176
|
If each item costs 18 dollars and the total cost is 414, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
Solve: 7x + 8 ≥ 92
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 12
|
What is -89 - 77?
|
Subtract the second number from the first.
|
Subtract 77 from -89.
|
-166
|
What is -92 + -254?
|
Add the two numbers.
|
Add -92 and -254.
|
-346
|
What is -4^4?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 4 times (0th power = 1).
|
256
|
What is 6^0?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 0 times (0th power = 1).
|
1
|
Solve: -9x + -2 > 7
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -1
|
What is 3^1?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 1 times (0th power = 1).
|
3
|
Simplify 9/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Solve for x: 3x + -21 = -60
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
What is -97 - -111?
|
Subtract the second number from the first.
|
Subtract -111 from -97.
|
14
|
Simplify 144/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
What is -35 ÷ 7?
|
Divide evenly.
|
Divide -35 by 7.
|
-5
|
What is -6^0?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 0 times (0th power = 1).
|
1
|
Solve for x: -4(x + 0) = 56
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Solve for x: -4(x + -5) = -16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
What is 2 ÷ -2?
|
Divide evenly.
|
Divide 2 by -2.
|
-1
|
What is 135 - -228?
|
Subtract the second number from the first.
|
Subtract -228 from 135.
|
363
|
What is -247 ÷ -13?
|
Divide evenly.
|
Divide -247 by -13.
|
19
|
If each item costs -7 dollars and the total cost is -196, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
28
|
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 for x: -9x + -20 = -11
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-1
|
Solve for x: -7x + -10 = -45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
5
|
What is -18 × 19?
|
Multiply the numbers.
|
Multiply -18 by 19.
|
-342
|
What is 215 + -95?
|
Add the two numbers.
|
Add 215 and -95.
|
120
|
Simplify 24/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
What is 221 + -198?
|
Add the two numbers.
|
Add 221 and -198.
|
23
|
Solve for x: 7x + -13 = -41
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
What is 267 + -183?
|
Add the two numbers.
|
Add 267 and -183.
|
84
|
Solve for x: -4x + -24 = -16
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
What is -5^5?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 5 times (0th power = 1).
|
-3125
|
What is 85 + -297?
|
Add the two numbers.
|
Add 85 and -297.
|
-212
|
What is -240 ÷ 24?
|
Divide evenly.
|
Divide -240 by 24.
|
-10
|
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