question
stringlengths 16
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stringclasses 8
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|---|---|---|---|
What is 85% of 40?
|
Compute the percent value (integer-safe).
|
Compute 85/100 × 40.
|
34
|
Solve for x: 2x + 22 = -14
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
Solve for x: -11x + 4 = 158
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
Solve for x: 12x + -3 = -135
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-11
|
Solve: |-5x + -12| ≤ 9
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-4 ≤ x ≤ -1
|
Solve: |-3x + -1| = 20
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-7
|
What is 128% of 225?
|
Compute the percent value (integer-safe).
|
Compute 128/100 × 225.
|
288
|
Solve: -3x + -15 ≥ -39
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 8
|
Simplify: 6x + 0x + -4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
6x - 4y
|
Solve: |-3x + -12| ≤ 5
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-5 ≤ x ≤ -3
|
Solve for x: 3x + -15 = 45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
If each item costs -4 dollars and the total cost is -56, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
14
|
Solve for x: 1(x + 5) = 2
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
Solve: |-3x + 1| = 16
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-5
|
Solve for x: -1x + 28 = 32
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
If each item costs -1 dollars and the total cost is -29, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
29
|
Solve for x: -7x + -27 = 71
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
Solve: |2x + -14| = 14
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
14, 0
|
If each item costs 11 dollars and the total cost is -22, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
If each item costs -3 dollars and the total cost is -54, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
Simplify: -3x + 3x + 8y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
8y
|
What is 2% of 50?
|
Compute the percent value (integer-safe).
|
Compute 2/100 × 50.
|
1
|
Solve: |-2x + -15| = 3
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-9, -6
|
Simplify: 3x + 8x + 5y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
11x + 5y
|
What is 104% of 150?
|
Compute the percent value (integer-safe).
|
Compute 104/100 × 150.
|
156
|
Solve: |-8x + -10| = 10
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
0
|
Simplify: -6x + -5x + -4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-11x - 4y
|
Solve: |2x + -9| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
4 ≤ x ≤ 5
|
Solve for x: -2x + 15 = 3
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
If each item costs 19 dollars and the total cost is -57, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
Solve for x: -2x + -27 = -7
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
Simplify: 5x + 8x + -1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
13x - 1y
|
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: |-1x + 12| ≤ 11
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
1 ≤ x ≤ 23
|
Solve: 1x + 13 > 11
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -2
|
Solve: |8x + -2| = 2
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
0
|
Solve: 6x + -12 < 90
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 17
|
Simplify: 4x + 7x + 2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
11x + 2y
|
Solve: |-6x + 12| ≤ 15
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
0 ≤ x ≤ 4
|
Simplify: -4x + 2x + 0y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-2x
|
Solve for x: -5(x + -3) = 60
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve: |6x + -13| = 9
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: 5x + 20 ≤ 115
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 19
|
Simplify: -5x + -7x + -8y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-12x - 8y
|
Solve for x: -7(x + -8) = 140
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
Solve: |-2x + -13| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-7 ≤ x ≤ -6
|
Solve for x: -7x + 29 = 43
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
What is -29% of 800?
|
Compute the percent value (integer-safe).
|
Compute -29/100 × 800.
|
-232
|
What is 70% of 0?
|
Compute the percent value (integer-safe).
|
Compute 70/100 × 0.
|
0
|
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 for x: 7(x + -1) = -49
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
Solve: |-2x + 7| = 15
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-4, 11
|
What is 145% of 40?
|
Compute the percent value (integer-safe).
|
Compute 145/100 × 40.
|
58
|
Solve: |4x + -2| = 7
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Simplify: 8x + -8x + -2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-2y
|
Solve: 6x + 6 > 42
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 6
|
Solve: |5x + 20| ≤ 17
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-7 ≤ x ≤ -1
|
Solve: |7x + -4| = 11
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-1
|
Solve: |-8x + 2| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
no integer solutions
|
Solve: 7x + -6 > -69
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -9
|
If each item costs 6 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
0
|
Solve: -7x + -9 ≤ -135
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 18
|
Solve: |-7x + 14| = 20
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
What is -24% of 100?
|
Compute the percent value (integer-safe).
|
Compute -24/100 × 100.
|
-24
|
Solve for x: 5(x + 0) = 55
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
Simplify: -5x + -6x + 0y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-11x
|
Solve for x: -5x + 14 = 9
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
1
|
Solve: |8x + -1| = 10
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
What is 105% of 160?
|
Compute the percent value (integer-safe).
|
Compute 105/100 × 160.
|
168
|
Solve for x: -3(x + -9) = 3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
What is 4% of 225?
|
Compute the percent value (integer-safe).
|
Compute 4/100 × 225.
|
9
|
Solve for x: 3(x + 3) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
Solve for x: -6x + -26 = -68
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
Solve for x: -1(x + -6) = -9
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
If each item costs 7 dollars and the total cost is -63, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
Solve: |-7x + -3| ≤ 2
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
no integer solutions
|
Solve: 5x + -6 < 44
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 10
|
If each item costs 18 dollars and the total cost is -216, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-12
|
Simplify: 2x + 4x + 8y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
6x + 8y
|
Simplify: 4x + -8x + 7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-4x + 7y
|
Solve for x: 5(x + 3) = 70
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
Solve for x: -7x + -20 = -27
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
1
|
If each item costs 8 dollars and the total cost is -144, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
Solve for x: -4(x + 1) = 8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
Solve for x: 6x + 29 = -1
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
If each item costs 7 dollars and the total cost is -28, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-4
|
Solve: -10x + -11 > 89
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -10
|
Solve for x: -6(x + 7) = -12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
If each item costs 16 dollars and the total cost is 176, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
11
|
Solve: |4x + 8| = 14
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Simplify: -4x + 8x + -5y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
4x - 5y
|
Solve for x: -2(x + -4) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
Solve: 8x + -8 ≤ -136
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -16
|
Solve: -6x + 18 > 126
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -18
|
Simplify: 5x + 1x + 2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
6x + 2y
|
Solve for x: 5(x + 11) = 30
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
Solve: |-3x + -5| ≤ 3
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ -1
|
Simplify: 5x + 3x + 8y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
8x + 8y
|
Solve: |-6x + -8| ≤ 7
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ -1
|
What is -29% of 900?
|
Compute the percent value (integer-safe).
|
Compute -29/100 × 900.
|
-261
|
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