question
stringlengths 16
86
| problem
stringclasses 8
values | how_to_solve
stringlengths 18
82
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stringlengths 1
20
|
|---|---|---|---|
If each item costs 4 dollars and the total cost is -12, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
Solve for x: 1(x + -7) = -16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve: -8x + -18 > -58
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 5
|
What is -21% of 0?
|
Compute the percent value (integer-safe).
|
Compute -21/100 × 0.
|
0
|
Solve for x: 5(x + 9) = -15
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
What is -12% of 225?
|
Compute the percent value (integer-safe).
|
Compute -12/100 × 225.
|
-27
|
What is 105% of 200?
|
Compute the percent value (integer-safe).
|
Compute 105/100 × 200.
|
210
|
Solve for x: -2x + 6 = -18
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
12
|
If each item costs 2 dollars and the total cost is 24, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
Solve: |-3x + 15| = 16
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: -11x + 24 = -185
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
Solve for x: 6(x + 0) = -84
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Simplify: -6x + 4x + -1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-2x - 1y
|
What is 77% of 300?
|
Compute the percent value (integer-safe).
|
Compute 77/100 × 300.
|
231
|
Solve: 6x + -13 < -127
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -19
|
If each item costs 12 dollars and the total cost is 180, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
15
|
Solve: -1x + -1 < -21
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 20
|
If each item costs 7 dollars and the total cost is 140, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
Solve: |-7x + -14| = 4
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: -5x + 24 = 34
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
Solve: -3x + 12 > 42
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -10
|
What is 34% of 350?
|
Compute the percent value (integer-safe).
|
Compute 34/100 × 350.
|
119
|
What is 90% of 40?
|
Compute the percent value (integer-safe).
|
Compute 90/100 × 40.
|
36
|
Solve for x: 7x + 4 = 74
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
Solve: 1x + -19 > -16
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 3
|
Solve: -9x + -14 < -77
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 7
|
What is 65% of 140?
|
Compute the percent value (integer-safe).
|
Compute 65/100 × 140.
|
91
|
What is 74% of 200?
|
Compute the percent value (integer-safe).
|
Compute 74/100 × 200.
|
148
|
Solve: -5x + -1 ≤ -81
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 16
|
Solve for x: 5x + 0 = -50
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
What is 2% of 450?
|
Compute the percent value (integer-safe).
|
Compute 2/100 × 450.
|
9
|
Solve: -9x + 8 ≤ 98
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -10
|
Solve: |6x + 18| ≤ 0
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-3 ≤ x ≤ -3
|
If each item costs 10 dollars and the total cost is 200, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
Solve: 9x + -5 ≤ 121
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 14
|
Solve: |5x + -3| ≤ 9
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ 2
|
If each item costs 18 dollars and the total cost is 162, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
9
|
Solve: |-1x + -16| ≤ 5
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-21 ≤ x ≤ -11
|
Solve: |-1x + -2| ≤ 0
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ -2
|
Simplify: -1x + 7x + -1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
6x - 1y
|
If each item costs -1 dollars and the total cost is 3, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
Solve for x: -8(x + 15) = -176
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
Simplify: -4x + -4x + -2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-8x - 2y
|
Solve: |2x + 3| ≤ 10
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-6 ≤ x ≤ 3
|
Solve for x: -6(x + 7) = -126
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
Solve for x: -8x + 23 = 39
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
Solve for x: 4x + 28 = 92
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
Solve: |6x + -9| ≤ 8
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
1 ≤ x ≤ 2
|
Simplify: 8x + -3x + 8y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
5x + 8y
|
If each item costs 13 dollars and the total cost is 338, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
26
|
Solve: 10x + -18 > 32
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 5
|
What is -18% of 500?
|
Compute the percent value (integer-safe).
|
Compute -18/100 × 500.
|
-90
|
Solve for x: -2x + -8 = 28
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is 29% of 0?
|
Compute the percent value (integer-safe).
|
Compute 29/100 × 0.
|
0
|
Solve for x: -2x + 25 = 7
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
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
|
What is 119% of 200?
|
Compute the percent value (integer-safe).
|
Compute 119/100 × 200.
|
238
|
Solve for x: 1x + -25 = -43
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is 69% of 500?
|
Compute the percent value (integer-safe).
|
Compute 69/100 × 500.
|
345
|
Solve for x: 6x + -2 = 88
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
If each item costs 11 dollars and the total cost is 242, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
22
|
Solve: 8x + 8 > -152
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -20
|
What is 124% of 175?
|
Compute the percent value (integer-safe).
|
Compute 124/100 × 175.
|
217
|
Solve: |6x + 4| ≤ 19
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-3 ≤ x ≤ 2
|
Solve: 10x + 18 ≤ -132
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -15
|
Solve for x: 5x + -10 = -15
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-1
|
What is 63% of 800?
|
Compute the percent value (integer-safe).
|
Compute 63/100 × 800.
|
504
|
Simplify: 1x + 4x + 1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
5x + 1y
|
Solve for x: -9x + 20 = 173
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Simplify: 8x + -7x + 2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
1x + 2y
|
What is -14% of 450?
|
Compute the percent value (integer-safe).
|
Compute -14/100 × 450.
|
-63
|
Solve for x: 3x + -19 = -55
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
Solve: 8x + 3 > 163
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 20
|
What is 19% of 600?
|
Compute the percent value (integer-safe).
|
Compute 19/100 × 600.
|
114
|
Solve: |-6x + -1| ≤ 12
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ 1
|
What is 27% of 800?
|
Compute the percent value (integer-safe).
|
Compute 27/100 × 800.
|
216
|
What is 88% of 150?
|
Compute the percent value (integer-safe).
|
Compute 88/100 × 150.
|
132
|
Solve for x: 9x + 20 = 164
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
Solve for x: 1(x + 5) = -8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
Solve: |-3x + -8| = 14
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
2
|
Simplify: -5x + 8x + -2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
3x - 2y
|
Solve: -3x + -6 ≤ 45
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -17
|
Solve for x: 7(x + 10) = 49
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
Solve: |7x + -5| = 17
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |5x + 18| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
no integer solutions
|
Solve for x: -12x + 23 = -157
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
Solve for x: -4(x + -11) = 44
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
If each item costs 17 dollars and the total cost is 323, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
19
|
What is 39% of 200?
|
Compute the percent value (integer-safe).
|
Compute 39/100 × 200.
|
78
|
What is -15% of 200?
|
Compute the percent value (integer-safe).
|
Compute -15/100 × 200.
|
-30
|
Solve for x: -8x + 1 = -39
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
5
|
Solve for x: -4(x + 7) = 12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
Solve: -7x + -20 > -34
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 2
|
What is 41% of 0?
|
Compute the percent value (integer-safe).
|
Compute 41/100 × 0.
|
0
|
Solve: |1x + 10| = 10
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
0, -20
|
Solve for x: -3x + -21 = -60
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
Solve: |2x + -5| ≤ 7
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ 6
|
Simplify: 3x + -3x + 1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
1y
|
What is -44% of 175?
|
Compute the percent value (integer-safe).
|
Compute -44/100 × 175.
|
-77
|
Solve for x: -10x + -20 = -220
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
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