question
stringlengths 16
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stringclasses 8
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stringlengths 18
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stringlengths 1
20
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|---|---|---|---|
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: 5x + -1 ≤ -81
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -16
|
What is 93% of 700?
|
Compute the percent value (integer-safe).
|
Compute 93/100 × 700.
|
651
|
Solve: |8x + 10| = 8
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |7x + -15| = 11
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: -4(x + 10) = -88
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
If each item costs 13 dollars and the total cost is -143, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-11
|
Solve for x: 4x + -17 = -17
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
Solve for x: 3(x + 13) = 33
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
Solve for x: -6(x + -11) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
If each item costs 9 dollars and the total cost is 216, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
24
|
Solve: |-2x + -5| = 18
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: -5(x + -5) = -25
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
What is 22% of 250?
|
Compute the percent value (integer-safe).
|
Compute 22/100 × 250.
|
55
|
If each item costs -8 dollars and the total cost is -160, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
What is 105% of 120?
|
Compute the percent value (integer-safe).
|
Compute 105/100 × 120.
|
126
|
Simplify: 1x + -4x + -3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-3x - 3y
|
Simplify: 1x + -4x + -7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-3x - 7y
|
Solve: 6x + -7 ≥ 83
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 15
|
Solve for x: -8x + -7 = -143
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
Solve: -4x + -12 ≥ -36
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 6
|
If each item costs 9 dollars and the total cost is 252, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
28
|
Solve: 7x + 14 ≤ -35
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -7
|
Solve: |-5x + 11| ≤ 7
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
1 ≤ x ≤ 3
|
Simplify: 1x + 1x + -4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
2x - 4y
|
What is 147% of 500?
|
Compute the percent value (integer-safe).
|
Compute 147/100 × 500.
|
735
|
Simplify: -3x + -8x + -7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-11x - 7y
|
Solve: |-8x + -20| ≤ 5
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-3 ≤ x ≤ -2
|
If each item costs 8 dollars and the total cost is 200, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
Solve: 5x + 1 ≥ -54
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -11
|
Solve for x: -2(x + -13) = 4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
Solve: |-6x + 14| ≤ 2
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
2 ≤ x ≤ 2
|
Solve: |5x + 6| ≤ 17
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-4 ≤ x ≤ 2
|
What is 127% of 500?
|
Compute the percent value (integer-safe).
|
Compute 127/100 × 500.
|
635
|
Solve for x: 1x + 26 = 28
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
Solve: |7x + 15| = 13
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-4
|
If each item costs -2 dollars and the total cost is -52, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
26
|
Solve: |-5x + -20| ≤ 5
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-5 ≤ x ≤ -3
|
Solve for x: -6(x + 12) = -30
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
Simplify: 0x + -5x + -5y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-5x - 5y
|
Solve for x: 6(x + 7) = -12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
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
|
If each item costs 5 dollars and the total cost is -35, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
What is 123% of 300?
|
Compute the percent value (integer-safe).
|
Compute 123/100 × 300.
|
369
|
Solve for x: -9x + 11 = 119
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
Solve: |7x + 10| ≤ 4
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ -1
|
Solve for x: -7(x + -8) = 126
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
What is 109% of 200?
|
Compute the percent value (integer-safe).
|
Compute 109/100 × 200.
|
218
|
Simplify: -2x + -2x + 7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-4x + 7y
|
Simplify: 7x + -3x + 1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
4x + 1y
|
Simplify: 0x + 5x + 0y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
5x
|
Solve for x: 4x + -19 = -55
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
What is -21% of 100?
|
Compute the percent value (integer-safe).
|
Compute -21/100 × 100.
|
-21
|
Simplify: -1x + 2x + 0y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
1x
|
If each item costs -4 dollars and the total cost is 40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-10
|
What is -31% of 600?
|
Compute the percent value (integer-safe).
|
Compute -31/100 × 600.
|
-186
|
If each item costs -1 dollars and the total cost is 10, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-10
|
Solve: |7x + -6| ≤ 6
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
0 ≤ x ≤ 1
|
Simplify: 3x + 4x + 5y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
7x + 5y
|
Simplify: 5x + 3x + -3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
8x - 3y
|
Simplify: -7x + 1x + 3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-6x + 3y
|
Solve: |-4x + 9| ≤ 11
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
0 ≤ x ≤ 5
|
What is 93% of 100?
|
Compute the percent value (integer-safe).
|
Compute 93/100 × 100.
|
93
|
If each item costs 16 dollars and the total cost is -272, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-17
|
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: 9x + -14 ≥ 166
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 20
|
Solve: |-8x + 7| = 19
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: 8(x + -11) = -184
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
Solve: |6x + 6| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ -1
|
Solve: |5x + -15| ≤ 13
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
1 ≤ x ≤ 5
|
Solve: |2x + -13| ≤ 9
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
2 ≤ x ≤ 11
|
Solve for x: -8(x + -11) = 176
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
Solve: -5x + -17 < -62
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 9
|
Solve: |6x + -11| = 7
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
3
|
Solve: -7x + -13 ≤ -13
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 0
|
Solve for x: -1x + -21 = -31
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is 123% of 900?
|
Compute the percent value (integer-safe).
|
Compute 123/100 × 900.
|
1107
|
Solve for x: 8(x + 8) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
If each item costs -8 dollars and the total cost is -24, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
3
|
Solve for x: 6(x + -7) = -108
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
Solve for x: 7(x + 13) = 21
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
Solve: |4x + 13| ≤ 0
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
no integer solutions
|
Solve for x: 1x + 1 = 4
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
What is 145% of 160?
|
Compute the percent value (integer-safe).
|
Compute 145/100 × 160.
|
232
|
Solve for x: 7x + 8 = -48
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
Solve: -4x + -2 > 14
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -4
|
If each item costs 13 dollars and the total cost is -195, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
Simplify: -4x + 3x + -6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-1x - 6y
|
Solve for x: -8x + -18 = -26
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
1
|
Solve: |1x + -13| ≤ 16
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-3 ≤ x ≤ 29
|
Solve: |-2x + 12| ≤ 16
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ 14
|
Solve: 10x + -13 > -3
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 1
|
Solve: |5x + -2| ≤ 9
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ 2
|
Solve: |-8x + -4| ≤ 8
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ 0
|
Simplify: -4x + 3x + 4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-1x + 4y
|
Solve for x: 9x + -7 = -106
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-11
|
Solve for x: -6x + 17 = -19
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
Solve: -8x + 6 ≥ -42
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 6
|
Solve for x: -4(x + -2) = -32
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
Solve: |7x + -5| = 14
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
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