question
stringlengths 16
86
| problem
stringclasses 8
values | how_to_solve
stringlengths 18
82
| answer
stringlengths 1
20
|
|---|---|---|---|
Solve for x: -4x + 12 = -12
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
What is -46% of 500?
|
Compute the percent value (integer-safe).
|
Compute -46/100 × 500.
|
-230
|
Solve for x: 5x + 12 = 27
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
If each item costs 2 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
0
|
What is 36% of 0?
|
Compute the percent value (integer-safe).
|
Compute 36/100 × 0.
|
0
|
Simplify: 3x + -3x + 4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
4y
|
Simplify: -8x + 7x + -7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-1x - 7y
|
Solve: -10x + -13 > 177
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -19
|
Solve for x: -2(x + 2) = 6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
If each item costs 20 dollars and the total cost is 320, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
16
|
If each item costs 13 dollars and the total cost is -13, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-1
|
Solve: 5x + -5 > -25
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -4
|
Simplify: 2x + -4x + -5y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-2x - 5y
|
Solve for x: -8x + 6 = -122
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
Solve: -8x + -9 > 23
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -4
|
Solve: -2x + -18 > 6
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -12
|
If each item costs -3 dollars and the total cost is -6, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
2
|
If each item costs 19 dollars and the total cost is 361, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
19
|
Solve: |-7x + 4| = 3
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
1
|
Solve: |-2x + 8| = 14
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-3, 11
|
Solve: |-6x + -4| = 1
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Simplify: -3x + 6x + 0y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
3x
|
Solve: -1x + 14 < -1
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 15
|
Solve for x: 4x + 8 = -44
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
Solve for x: 6(x + -6) = 54
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve: |-4x + 10| ≤ 16
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ 6
|
If each item costs 17 dollars and the total cost is 68, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
4
|
Solve: |-2x + -12| ≤ 2
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-7 ≤ x ≤ -5
|
If each item costs -1 dollars and the total cost is -22, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
22
|
Solve: |-7x + 3| = 7
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: -6(x + -4) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Solve for x: -2x + -26 = -8
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
Simplify: 1x + -2x + -5y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-1x - 5y
|
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
|
Simplify: 3x + 1x + 4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
4x + 4y
|
Solve: |7x + 8| = 13
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-3
|
Solve: |4x + -10| ≤ 5
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
2 ≤ x ≤ 3
|
Solve: -2x + -7 ≥ -29
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 11
|
Solve for x: 4(x + 2) = 56
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Solve for x: -4x + -8 = 8
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
What is -15% of 100?
|
Compute the percent value (integer-safe).
|
Compute -15/100 × 100.
|
-15
|
What is -17% of 300?
|
Compute the percent value (integer-safe).
|
Compute -17/100 × 300.
|
-51
|
Solve for x: -1x + 10 = 27
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Simplify: -3x + 0x + -6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-3x - 6y
|
Solve for x: -4x + 16 = -20
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
Solve: |-5x + -4| = 10
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: -4x + -8 ≥ -76
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 17
|
Solve: |-2x + -11| = 4
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: -1(x + -7) = 1
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
What is -31% of 400?
|
Compute the percent value (integer-safe).
|
Compute -31/100 × 400.
|
-124
|
If each item costs 18 dollars and the total cost is -180, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-10
|
Solve: |3x + -10| = 1
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
3
|
Solve for x: 11x + -15 = -59
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
Solve: 6x + -10 ≤ 2
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 2
|
If each item costs 3 dollars and the total cost is 30, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
10
|
Simplify: -2x + 2x + -1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-1y
|
What is 1% of 200?
|
Compute the percent value (integer-safe).
|
Compute 1/100 × 200.
|
2
|
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
|
Solve for x: -8(x + 12) = -32
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
What is -5% of 160?
|
Compute the percent value (integer-safe).
|
Compute -5/100 × 160.
|
-8
|
Solve: |-8x + 10| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
no integer solutions
|
What is 146% of 50?
|
Compute the percent value (integer-safe).
|
Compute 146/100 × 50.
|
73
|
Solve: |-8x + -16| ≤ 4
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ -2
|
Simplify: -3x + 8x + -5y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
5x - 5y
|
Solve: -2x + -14 < 24
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -19
|
If each item costs 12 dollars and the total cost is -216, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
Simplify: -4x + -2x + -3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-6x - 3y
|
Solve: 8x + -5 ≤ -125
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -15
|
Solve for x: 10x + -2 = -92
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
If each item costs 17 dollars and the total cost is 102, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
Solve: |7x + 18| ≤ 19
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-5 ≤ x ≤ 0
|
Simplify: 0x + -8x + -2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-8x - 2y
|
Simplify: 4x + 3x + -3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
7x - 3y
|
If each item costs 11 dollars and the total cost is -33, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
Solve for x: -5x + -13 = 42
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-11
|
Solve: -7x + 13 > -127
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 20
|
Simplify: 4x + 3x + 8y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
7x + 8y
|
Solve: |1x + 14| = 11
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-3, -25
|
Solve: 9x + 11 ≤ 92
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 9
|
Solve: |-1x + -15| = 15
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-30, 0
|
Solve for x: -9x + 27 = 162
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
Simplify: 8x + 4x + 5y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
12x + 5y
|
Simplify: 0x + 7x + -7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
7x - 7y
|
Simplify: 1x + 2x + -6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
3x - 6y
|
Solve for x: -8(x + 5) = -160
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve: |-7x + -5| = 6
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: -10x + 5 > 175
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -17
|
What is 32% of 100?
|
Compute the percent value (integer-safe).
|
Compute 32/100 × 100.
|
32
|
Solve: |6x + 13| ≤ 2
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ -2
|
Solve for x: 8(x + 1) = 80
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
Solve for x: -3x + -19 = -25
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
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
|
Simplify: 0x + -4x + 8y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-4x + 8y
|
If each item costs 10 dollars and the total cost is -10, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-1
|
Solve for x: -5x + 15 = -30
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
Solve for x: 8(x + -5) = 8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
What is -28% of 50?
|
Compute the percent value (integer-safe).
|
Compute -28/100 × 50.
|
-14
|
What is -9% of 200?
|
Compute the percent value (integer-safe).
|
Compute -9/100 × 200.
|
-18
|
What is -15% of 0?
|
Compute the percent value (integer-safe).
|
Compute -15/100 × 0.
|
0
|
Solve: |-2x + -12| ≤ 12
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-12 ≤ x ≤ 0
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.