question
stringlengths 16
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| problem
stringclasses 8
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stringlengths 18
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stringlengths 1
20
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|---|---|---|---|
If each item costs -3 dollars and the total cost is 57, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-19
|
Solve: |6x + -19| ≤ 6
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
3 ≤ x ≤ 4
|
Simplify: 4x + -1x + -2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
3x - 2y
|
Solve for x: -7x + 4 = -24
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
Solve: |-4x + -12| ≤ 13
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-6 ≤ x ≤ 0
|
Solve: |-4x + 9| = 6
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: 9x + 18 > 162
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 16
|
Solve for x: 8x + 15 = 79
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
Solve for x: 8(x + 2) = 16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
Simplify: -5x + 1x + -3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-4x - 3y
|
Solve for x: -8x + 26 = -110
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
Solve for x: -1x + 8 = -2
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
Solve: |8x + 9| = 4
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: 1x + -3 ≥ 11
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 14
|
Simplify: -7x + 5x + -7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-2x - 7y
|
Solve for x: 8(x + -4) = 72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
Solve: -10x + 10 ≥ -60
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 7
|
Solve: 1x + -20 > -25
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -5
|
Solve for x: -6(x + 3) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
Solve for x: -9x + -4 = -103
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
11
|
Solve: |-7x + 11| = 2
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |-2x + -3| = 13
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-8, 5
|
Solve for x: 4(x + -9) = -16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
Solve: -9x + -9 > 153
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -18
|
What is -49% of 1000?
|
Compute the percent value (integer-safe).
|
Compute -49/100 × 1000.
|
-490
|
What is 103% of 600?
|
Compute the percent value (integer-safe).
|
Compute 103/100 × 600.
|
618
|
If each item costs 5 dollars and the total cost is -50, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-10
|
Solve for x: -2x + -20 = -42
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
11
|
Solve: |3x + -11| ≤ 3
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
3 ≤ x ≤ 4
|
Solve: 8x + 2 < 154
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 19
|
What is 19% of 800?
|
Compute the percent value (integer-safe).
|
Compute 19/100 × 800.
|
152
|
What is -11% of 400?
|
Compute the percent value (integer-safe).
|
Compute -11/100 × 400.
|
-44
|
If each item costs -10 dollars and the total cost is 110, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-11
|
Solve for x: -3x + -18 = -3
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
Solve for x: 7(x + -11) = 28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve: |-8x + 11| ≤ 19
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ 3
|
What is 56% of 250?
|
Compute the percent value (integer-safe).
|
Compute 56/100 × 250.
|
140
|
Solve: -4x + 5 < -39
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 11
|
Solve for x: 1x + 17 = 17
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
Solve for x: 11x + -1 = -100
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
What is -41% of 500?
|
Compute the percent value (integer-safe).
|
Compute -41/100 × 500.
|
-205
|
If each item costs 18 dollars and the total cost is 126, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
What is 57% of 100?
|
Compute the percent value (integer-safe).
|
Compute 57/100 × 100.
|
57
|
Solve: -1x + -10 > -23
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 13
|
Solve: |5x + -18| ≤ 5
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
3 ≤ x ≤ 4
|
If each item costs 1 dollars and the total cost is 18, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
Solve: |3x + 8| = 7
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-5
|
Simplify: -7x + 3x + 2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-4x + 2y
|
What is 36% of 100?
|
Compute the percent value (integer-safe).
|
Compute 36/100 × 100.
|
36
|
Solve: |8x + 18| ≤ 7
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-3 ≤ x ≤ -2
|
Solve: |-6x + -1| = 14
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: -2x + 15 ≥ 1
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 7
|
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
|
Simplify: -1x + 4x + -1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
3x - 1y
|
Solve: |7x + 13| = 11
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: 3(x + 0) = -15
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
Solve: |-5x + -8| = 19
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: -3(x + 10) = -51
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
Solve for x: -4(x + 11) = -88
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
Solve for x: 8x + -13 = -45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
Solve for x: -4(x + 5) = -24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
Solve: -6x + 1 ≤ -11
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 2
|
Simplify: -8x + 0x + 6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-8x + 6y
|
What is -15% of 20?
|
Compute the percent value (integer-safe).
|
Compute -15/100 × 20.
|
-3
|
Solve: -9x + -9 ≥ -72
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 7
|
Simplify: -4x + 7x + -6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
3x - 6y
|
Solve: |7x + 1| = 10
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |4x + -6| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
no integer solutions
|
Solve for x: 6(x + -11) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is -9% of 700?
|
Compute the percent value (integer-safe).
|
Compute -9/100 × 700.
|
-63
|
Solve for x: 7(x + 5) = -42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
Solve: -4x + 11 > 51
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -10
|
Solve: |-8x + -6| ≤ 16
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ 1
|
What is 47% of 500?
|
Compute the percent value (integer-safe).
|
Compute 47/100 × 500.
|
235
|
Solve for x: -3(x + -6) = 3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
Solve for x: 4(x + -10) = -40
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
Solve: |-4x + 12| = 1
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
If each item costs -9 dollars and the total cost is -54, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
Solve for x: 6x + -18 = 42
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
If each item costs 12 dollars and the total cost is -72, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-6
|
Solve for x: 1x + 18 = 35
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
Simplify: 7x + -4x + -3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
3x - 3y
|
Simplify: -3x + 8x + 4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
5x + 4y
|
Solve for x: 6(x + 14) = 96
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
2
|
Solve for x: -3(x + 11) = -57
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
Solve for x: -12x + 24 = 48
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
Solve: 6x + 14 ≤ -82
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -16
|
Solve: -1x + -2 ≥ -15
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 13
|
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
|
If each item costs -9 dollars and the total cost is -63, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
If each item costs 20 dollars and the total cost is 360, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
Solve: -8x + -19 ≥ -147
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 16
|
Solve: -4x + 20 ≥ -40
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 15
|
What is 120% of 15?
|
Compute the percent value (integer-safe).
|
Compute 120/100 × 15.
|
18
|
Solve for x: 5(x + -1) = -25
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Solve: |8x + 5| = 18
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: -5x + 14 = -51
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
What is 124% of 25?
|
Compute the percent value (integer-safe).
|
Compute 124/100 × 25.
|
31
|
Solve for x: -3(x + -8) = -3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
Solve for x: 2(x + 7) = -2
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
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