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SAReasoning-1000000

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20
Solve: 2x + -17 < -7
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 5
Solve for x: -1x + 16 = 9
Solve the linear equation.
Subtract b from both sides, then divide by a.
7
Solve: -3x + -20 ≥ -2
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -6
Solve: |-6x + 5| ≤ 7
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
0 ≤ x ≤ 2
Solve: |8x + -4| = 4
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
1, 0
Solve for x: 8(x + 3) = -88
Solve a two-step equation.
Divide both sides by a, then subtract b.
-14
Solve for x: 5(x + 6) = 65
Solve a two-step equation.
Divide both sides by a, then subtract b.
7
Solve for x: 1(x + 6) = -8
Solve a two-step equation.
Divide both sides by a, then subtract b.
-14
What is 141% of 0?
Compute the percent value (integer-safe).
Compute 141/100 × 0.
0
Solve: 4x + 14 ≥ -30
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -11
If each item costs -8 dollars and the total cost is -96, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
12
What is 128% of 100?
Compute the percent value (integer-safe).
Compute 128/100 × 100.
128
Solve: 8x + 3 > -77
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -10
Solve for x: -7x + -24 = 46
Solve the linear equation.
Subtract b from both sides, then divide by a.
-10
Solve: |-6x + 20| ≤ 0
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
no integer solutions
Solve: -1x + -1 > -13
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 12
Solve: |7x + 1| ≤ 19
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-2 ≤ x ≤ 2
Solve: |-7x + -19| ≤ 11
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-4 ≤ x ≤ -2
Solve: |-8x + -5| ≤ 20
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-3 ≤ x ≤ 1
What is 31% of 600?
Compute the percent value (integer-safe).
Compute 31/100 × 600.
186
Solve: 1x + 12 < 27
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 15
What is -14% of 500?
Compute the percent value (integer-safe).
Compute -14/100 × 500.
-70
What is 110% of 70?
Compute the percent value (integer-safe).
Compute 110/100 × 70.
77
If each item costs 11 dollars and the total cost is 154, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
14
What is -34% of 0?
Compute the percent value (integer-safe).
Compute -34/100 × 0.
0
Solve: |-6x + 13| = 13
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
0
Solve: |-4x + 6| = 5
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Simplify: -5x + 1x + 2y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-4x + 2y
Simplify: 1x + -8x + -2y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-7x - 2y
Solve: |8x + -16| ≤ 7
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
2 ≤ x ≤ 2
What is 16% of 200?
Compute the percent value (integer-safe).
Compute 16/100 × 200.
32
Solve: 3x + -17 ≥ 37
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 18
What is 47% of 1000?
Compute the percent value (integer-safe).
Compute 47/100 × 1000.
470
Simplify: -7x + 1x + 5y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-6x + 5y
What is 49% of 1000?
Compute the percent value (integer-safe).
Compute 49/100 × 1000.
490
Solve: 10x + -18 > 22
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 4
What is 33% of 300?
Compute the percent value (integer-safe).
Compute 33/100 × 300.
99
Solve: |1x + -1| = 11
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
12, -10
If each item costs 0 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
27
Solve: -5x + -3 > -78
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 15
If each item costs 2 dollars and the total cost is -8, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-4
Solve for x: -3x + 2 = -40
Solve the linear equation.
Subtract b from both sides, then divide by a.
14
Solve: |-7x + 5| = 16
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
3
Solve: |3x + -18| ≤ 9
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
3 ≤ x ≤ 9
If each item costs 4 dollars and the total cost is -44, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-11
Solve for x: -7(x + -8) = 119
Solve a two-step equation.
Divide both sides by a, then subtract b.
-9
Solve for x: -3(x + -7) = 3
Solve a two-step equation.
Divide both sides by a, then subtract b.
6
Solve: 6x + -4 ≥ -100
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -16
Solve: |-4x + 6| ≤ 0
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
no integer solutions
Solve: |-4x + -20| ≤ 18
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-9 ≤ x ≤ -1
Solve: |7x + 13| ≤ 10
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-3 ≤ x ≤ -1
Simplify: 2x + 2x + 8y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
4x + 8y
What is 143% of 500?
Compute the percent value (integer-safe).
Compute 143/100 × 500.
715
What is 67% of 400?
Compute the percent value (integer-safe).
Compute 67/100 × 400.
268
Simplify: 3x + 8x + 1y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
11x + 1y
Simplify: -7x + -3x + 0y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-10x
What is 119% of 500?
Compute the percent value (integer-safe).
Compute 119/100 × 500.
595
Solve for x: 8(x + -1) = 56
Solve a two-step equation.
Divide both sides by a, then subtract b.
8
Solve: |-5x + 19| ≤ 16
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
1 ≤ x ≤ 7
Solve: 2x + -10 ≤ 2
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 6
Solve: |4x + -17| ≤ 0
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
no integer solutions
Solve for x: -5(x + 12) = -95
Solve a two-step equation.
Divide both sides by a, then subtract b.
7
Solve: |-2x + 14| ≤ 12
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
1 ≤ x ≤ 13
Solve for x: -10x + 25 = -5
Solve the linear equation.
Subtract b from both sides, then divide by a.
3
Simplify: -7x + 1x + -1y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-6x - 1y
Solve: |8x + -11| ≤ 19
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-1 ≤ x ≤ 3
Solve: |-7x + -13| ≤ 10
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-3 ≤ x ≤ -1
Solve: -6x + -9 ≤ 45
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -9
Solve for x: 2(x + 15) = 16
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
Solve: 4x + 16 < 48
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 8
Solve: 2x + -9 < 17
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 13
If each item costs 10 dollars and the total cost is -20, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-2
Solve: |-3x + -8| ≤ 9
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-5 ≤ x ≤ 0
Solve for x: -3x + 1 = 52
Solve the linear equation.
Subtract b from both sides, then divide by a.
-17
Simplify: 4x + 0x + -1y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
4x - 1y
Simplify: -7x + 0x + -5y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-7x - 5y
Solve for x: 3(x + -5) = -12
Solve a two-step equation.
Divide both sides by a, then subtract b.
1
Solve for x: -8(x + 6) = -8
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
Solve: |-4x + 16| ≤ 17
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
0 ≤ x ≤ 8
Solve: |-2x + -10| = 18
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
-14, 4
What is 39% of 400?
Compute the percent value (integer-safe).
Compute 39/100 × 400.
156
Solve for x: -2(x + -3) = 18
Solve a two-step equation.
Divide both sides by a, then subtract b.
-6
Solve: |6x + -8| = 9
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve: |-6x + -14| = 5
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve: |1x + 9| = 9
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
0, -18
Simplify: 2x + -8x + -7y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-6x - 7y
Solve: |3x + -7| ≤ 8
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
0 ≤ x ≤ 5
If each item costs 3 dollars and the total cost is -45, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-15
Solve: |-7x + 15| = 5
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
What is 108% of 75?
Compute the percent value (integer-safe).
Compute 108/100 × 75.
81
Solve for x: 5x + -28 = 32
Solve the linear equation.
Subtract b from both sides, then divide by a.
12
Solve: -7x + 13 < -64
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 11
If each item costs 15 dollars and the total cost is 255, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
17
Solve for x: 12x + -5 = -89
Solve the linear equation.
Subtract b from both sides, then divide by a.
-7
Solve: |-5x + -14| = 11
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
-5
Solve: |5x + 10| = 3
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve: |6x + 15| = 10
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Simplify: -3x + -3x + 0y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-6x
Solve: |4x + 12| ≤ 8
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-5 ≤ x ≤ -1
Simplify: 3x + -4x + -8y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-1x - 8y