question
stringlengths 16
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stringclasses 8
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stringlengths 18
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20
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|---|---|---|---|
What is 64% of 125?
|
Compute the percent value (integer-safe).
|
Compute 64/100 × 125.
|
80
|
Solve: |7x + 14| = 20
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |1x + 2| ≤ 20
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-22 ≤ x ≤ 18
|
If each item costs 17 dollars and the total cost is 374, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
22
|
If each item costs 3 dollars and the total cost is 48, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
16
|
Solve for x: 5(x + 15) = 95
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
Solve for x: -12x + -26 = 190
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
Solve: |2x + -16| ≤ 18
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ 17
|
Solve: |-3x + -2| = 12
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
What is 114% of 250?
|
Compute the percent value (integer-safe).
|
Compute 114/100 × 250.
|
285
|
What is 139% of 300?
|
Compute the percent value (integer-safe).
|
Compute 139/100 × 300.
|
417
|
Solve: |6x + 12| = 16
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |7x + -15| ≤ 19
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
0 ≤ x ≤ 4
|
Solve: 8x + 20 < -108
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -16
|
Simplify: 1x + 3x + -2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
4x - 2y
|
Solve: -4x + 6 > 86
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -20
|
Simplify: -2x + 4x + 3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
2x + 3y
|
If each item costs -3 dollars and the total cost is 21, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
What is 67% of 500?
|
Compute the percent value (integer-safe).
|
Compute 67/100 × 500.
|
335
|
What is -28% of 225?
|
Compute the percent value (integer-safe).
|
Compute -28/100 × 225.
|
-63
|
What is 24% of 50?
|
Compute the percent value (integer-safe).
|
Compute 24/100 × 50.
|
12
|
What is 48% of 125?
|
Compute the percent value (integer-safe).
|
Compute 48/100 × 125.
|
60
|
Solve: |1x + -4| = 18
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
22, -14
|
Solve for x: 8x + 23 = 151
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
If each item costs 3 dollars and the total cost is -12, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-4
|
Solve for x: -4(x + -3) = -24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
Solve: |-6x + -8| = 9
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: 5(x + 1) = 30
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
If each item costs -1 dollars and the total cost is 12, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-12
|
Solve for x: -4(x + 8) = 20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
Solve: -8x + -16 ≥ -144
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 16
|
Solve for x: -2x + 28 = 36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
Solve for x: -6(x + -3) = -30
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
Solve: |-2x + -13| = 20
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |-3x + -4| = 16
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
4
|
Simplify: -6x + -4x + 0y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-10x
|
Solve: |5x + 12| = 8
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-4
|
Solve: |-1x + 0| = 12
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-12, 12
|
If each item costs 7 dollars and the total cost is -14, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
What is 46% of 150?
|
Compute the percent value (integer-safe).
|
Compute 46/100 × 150.
|
69
|
What is -26% of 0?
|
Compute the percent value (integer-safe).
|
Compute -26/100 × 0.
|
0
|
Solve: 6x + -11 < -95
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -14
|
Solve: |-1x + -3| = 3
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-6, 0
|
Solve for x: -7x + 22 = -34
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
What is 50% of 2?
|
Compute the percent value (integer-safe).
|
Compute 50/100 × 2.
|
1
|
Solve for x: -9x + 16 = -38
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
Solve: |-4x + 9| = 1
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
2
|
Solve: |-7x + 2| = 5
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
1
|
What is 30% of 50?
|
Compute the percent value (integer-safe).
|
Compute 30/100 × 50.
|
15
|
Solve: |-7x + 10| = 18
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
4
|
Solve: |3x + -10| = 4
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
2
|
Simplify: 0x + 3x + 6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
3x + 6y
|
Solve for x: 6(x + 15) = 36
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve: 8x + -1 > -81
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -10
|
Solve: |-3x + 3| ≤ 20
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-5 ≤ x ≤ 7
|
Solve: -2x + -16 < -50
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 17
|
Solve: |-2x + 0| = 13
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |8x + -13| = 5
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
1
|
Solve: -8x + 18 > 178
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -20
|
Solve: |7x + 18| ≤ 18
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-5 ≤ x ≤ 0
|
Solve: |2x + 14| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-7 ≤ x ≤ -7
|
What is -22% of 150?
|
Compute the percent value (integer-safe).
|
Compute -22/100 × 150.
|
-33
|
Solve for x: -9x + -12 = -66
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
Solve for x: 4x + 7 = 7
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
Solve: |5x + 17| ≤ 20
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-7 ≤ x ≤ 0
|
Solve: |-5x + 16| ≤ 11
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
1 ≤ x ≤ 5
|
What is -30% of 10?
|
Compute the percent value (integer-safe).
|
Compute -30/100 × 10.
|
-3
|
Solve: -7x + 0 ≥ -98
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 14
|
What is 137% of 800?
|
Compute the percent value (integer-safe).
|
Compute 137/100 × 800.
|
1096
|
Solve: |2x + 10| ≤ 19
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-14 ≤ x ≤ 4
|
Solve: -6x + -14 ≥ -50
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 6
|
Solve: |-2x + -12| = 4
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-8, -4
|
If each item costs -2 dollars and the total cost is -12, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
Solve: |1x + 9| = 6
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-3, -15
|
What is 121% of 500?
|
Compute the percent value (integer-safe).
|
Compute 121/100 × 500.
|
605
|
Solve: |-3x + 12| ≤ 5
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
3 ≤ x ≤ 5
|
What is 117% of 400?
|
Compute the percent value (integer-safe).
|
Compute 117/100 × 400.
|
468
|
What is -36% of 150?
|
Compute the percent value (integer-safe).
|
Compute -36/100 × 150.
|
-54
|
Simplify: -3x + 2x + 2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-1x + 2y
|
What is 136% of 175?
|
Compute the percent value (integer-safe).
|
Compute 136/100 × 175.
|
238
|
If each item costs 20 dollars and the total cost is 200, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
10
|
Solve: |-2x + 14| ≤ 8
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
3 ≤ x ≤ 11
|
Solve: |-3x + -11| = 4
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-5
|
Solve: |4x + -7| = 19
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-3
|
Solve for x: -3x + -15 = 39
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
Solve: |-1x + 1| = 12
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-11, 13
|
Simplify: -8x + -8x + 0y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-16x
|
Solve for x: 7(x + 8) = -49
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
Solve: |5x + 10| ≤ 20
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-6 ≤ x ≤ 2
|
Simplify: 7x + -2x + 1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
5x + 1y
|
Solve: |1x + -11| = 9
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
20, 2
|
If each item costs -3 dollars and the total cost is -24, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
8
|
Simplify: -7x + -1x + 7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-8x + 7y
|
What is 138% of 400?
|
Compute the percent value (integer-safe).
|
Compute 138/100 × 400.
|
552
|
What is 118% of 300?
|
Compute the percent value (integer-safe).
|
Compute 118/100 × 300.
|
354
|
Solve: |-7x + -3| ≤ 10
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ 1
|
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
|
What is 12% of 150?
|
Compute the percent value (integer-safe).
|
Compute 12/100 × 150.
|
18
|
Solve for x: 3(x + -6) = -42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
Solve: |-5x + -14| = 11
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-5
|
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