question
stringlengths 16
86
| problem
stringclasses 8
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stringlengths 18
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stringlengths 1
20
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|---|---|---|---|
If each item costs 11 dollars and the total cost is 275, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
Solve: |-2x + -1| = 8
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |-5x + -20| ≤ 9
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-5 ≤ x ≤ -3
|
Solve for x: 3x + -30 = -66
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
Solve for x: 2(x + -13) = -28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
Solve: |1x + 14| ≤ 2
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-16 ≤ x ≤ -12
|
Solve: -10x + -17 < 153
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -17
|
Solve for x: 1(x + -15) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve: |1x + 7| = 0
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-7
|
Solve for x: 6x + -27 = -111
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
Solve for x: -7x + -30 = -93
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
Solve for x: -12x + -2 = 202
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Simplify: 0x + -8x + 8y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-8x + 8y
|
If each item costs 17 dollars and the total cost is 425, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
Simplify: -6x + -3x + -4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-9x - 4y
|
Solve for x: 8(x + -9) = -64
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
Simplify: -6x + 8x + -8y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
2x - 8y
|
Solve for x: 5x + 29 = 99
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
14
|
Solve for x: -5x + 30 = -35
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
Solve for x: -7(x + -8) = 77
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
Solve: 6x + 6 ≥ 42
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 6
|
What is 59% of 0?
|
Compute the percent value (integer-safe).
|
Compute 59/100 × 0.
|
0
|
Solve: -2x + -4 ≤ 12
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -8
|
Simplify: 6x + -8x + -3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-2x - 3y
|
Solve: |7x + -17| ≤ 13
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
1 ≤ x ≤ 4
|
Solve: |3x + 7| ≤ 2
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-3 ≤ x ≤ -2
|
What is 111% of 800?
|
Compute the percent value (integer-safe).
|
Compute 111/100 × 800.
|
888
|
Solve for x: -8(x + -11) = 144
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
What is -44% of 150?
|
Compute the percent value (integer-safe).
|
Compute -44/100 × 150.
|
-66
|
Solve: |-1x + 1| = 17
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-16, 18
|
What is 119% of 300?
|
Compute the percent value (integer-safe).
|
Compute 119/100 × 300.
|
357
|
Simplify: 8x + -1x + 0y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
7x
|
Solve: -9x + -8 ≤ -152
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 16
|
What is 119% of 900?
|
Compute the percent value (integer-safe).
|
Compute 119/100 × 900.
|
1071
|
Solve for x: -11x + 21 = 197
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-16
|
Solve: |-3x + 1| = 2
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
1
|
Solve: |1x + 10| = 12
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
2, -22
|
Simplify: -2x + 2x + 6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
6y
|
Solve: |-4x + -10| ≤ 15
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-6 ≤ x ≤ 1
|
Solve for x: -5(x + -14) = 90
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
If each item costs -5 dollars and the total cost is 55, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-11
|
What is -36% of 225?
|
Compute the percent value (integer-safe).
|
Compute -36/100 × 225.
|
-81
|
Simplify: 2x + -3x + 0y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-1x
|
Simplify: -4x + 6x + 6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
2x + 6y
|
Solve: |6x + -6| = 13
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Simplify: 6x + -4x + -7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
2x - 7y
|
Solve for x: -4(x + -1) = -16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
Solve for x: -3(x + -9) = 51
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
Solve: |1x + 16| ≤ 18
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-34 ≤ x ≤ 2
|
Solve for x: -5(x + 6) = -70
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
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
|
Solve for x: -1x + -11 = -2
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
Solve: |-8x + -18| ≤ 9
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-3 ≤ x ≤ -2
|
Solve for x: -7(x + 7) = -119
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
Simplify: -7x + 5x + -1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-2x - 1y
|
Solve: |-2x + -9| ≤ 11
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-10 ≤ x ≤ 1
|
Simplify: 6x + 0x + -6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
6x - 6y
|
Solve for x: 7(x + 0) = -7
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
Solve: -3x + -19 < -70
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 17
|
If each item costs 6 dollars and the total cost is 72, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
Solve for x: 11x + 8 = -124
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
What is -10% of 80?
|
Compute the percent value (integer-safe).
|
Compute -10/100 × 80.
|
-8
|
If each item costs 19 dollars and the total cost is 114, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
Solve: |-6x + 1| ≤ 18
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ 3
|
What is -30% of 100?
|
Compute the percent value (integer-safe).
|
Compute -30/100 × 100.
|
-30
|
If each item costs -2 dollars and the total cost is -26, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
If each item costs 19 dollars and the total cost is 513, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
27
|
Solve for x: -4(x + 12) = -100
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
Solve: 7x + -8 > -99
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -13
|
If each item costs -4 dollars and the total cost is -32, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
8
|
Solve: 4x + 0 < -32
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -8
|
If each item costs 7 dollars and the total cost is -126, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
Solve: |-1x + -15| = 17
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-32, 2
|
Simplify: -2x + -5x + 1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-7x + 1y
|
Simplify: 4x + 3x + -2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
7x - 2y
|
What is 72% of 225?
|
Compute the percent value (integer-safe).
|
Compute 72/100 × 225.
|
162
|
Simplify: 8x + 8x + -5y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
16x - 5y
|
What is 72% of 150?
|
Compute the percent value (integer-safe).
|
Compute 72/100 × 150.
|
108
|
Solve for x: -5(x + -1) = 45
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
Solve: |-7x + -6| = 18
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: -4x + 27 = -33
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
If each item costs 19 dollars and the total cost is -380, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
Solve: |-6x + -4| ≤ 12
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ 1
|
Solve for x: -7x + 26 = -37
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
Simplify: -8x + 0x + -7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-8x - 7y
|
What is -6% of 450?
|
Compute the percent value (integer-safe).
|
Compute -6/100 × 450.
|
-27
|
If each item costs -5 dollars and the total cost is -70, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
14
|
Simplify: 3x + -8x + 4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-5x + 4y
|
Solve: |3x + -16| ≤ 17
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
0 ≤ x ≤ 11
|
Simplify: 1x + 7x + -6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
8x - 6y
|
Solve for x: 5(x + -4) = -45
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
Solve: |7x + -9| ≤ 18
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ 3
|
If each item costs 5 dollars and the total cost is 15, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
3
|
Solve: |1x + 3| = 14
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
11, -17
|
Solve: |1x + 7| ≤ 19
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-26 ≤ x ≤ 12
|
Simplify: -3x + 5x + -4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
2x - 4y
|
Solve: |-6x + -14| = 19
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: 7x + -9 = -121
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-16
|
Solve for x: -2x + -4 = 12
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
What is 132% of 125?
|
Compute the percent value (integer-safe).
|
Compute 132/100 × 125.
|
165
|
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