question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is -31% of 300? | Compute the percent value (integer-safe). | Compute -31/100 × 300. | -93 |
Solve for x: 9x + 20 = 83 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
Solve: |-4x + -17| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ 0 |
Solve: 2x + 11 ≥ 13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 1 |
Solve for x: -6(x + -13) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
If each item costs -5 dollars and the total cost is -130, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
Solve: 8x + 15 ≥ 167 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 19 |
Solve: -5x + 19 > -1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 4 |
Solve for x: -5(x + 13) = -15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve for x: -1x + 5 = 7 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -2 |
Solve for x: -2(x + 4) = -26 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve: -5x + 14 ≤ 49 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -7 |
What is -19% of 100? | Compute the percent value (integer-safe). | Compute -19/100 × 100. | -19 |
Solve: -10x + 18 ≤ 168 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -15 |
What is 18% of 100? | Compute the percent value (integer-safe). | Compute 18/100 × 100. | 18 |
Solve: |7x + -4| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 7x + 6 = 104 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve: |3x + 9| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 7(x + 10) = -21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve: -3x + -20 ≥ -56 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 12 |
Solve: |-6x + -12| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 1 |
If each item costs 7 dollars and the total cost is 70, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
Solve: |-4x + 12| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 3 |
Solve: |-2x + 6| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -5, 11 |
Solve: |-4x + 5| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 6 |
Solve for x: 4(x + 12) = 20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: |-7x + -4| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 16 dollars and the total cost is 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 0 |
Simplify: 2x + 8x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x - 1y |
If each item costs 13 dollars and the total cost is -208, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
Solve for x: 4x + -9 = 11 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
Solve for x: -8(x + -11) = 88 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
What is -13% of 600? | Compute the percent value (integer-safe). | Compute -13/100 × 600. | -78 |
Simplify: 7x + -8x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 7y |
What is -22% of 300? | Compute the percent value (integer-safe). | Compute -22/100 × 300. | -66 |
Solve: |6x + -11| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 96% of 100? | Compute the percent value (integer-safe). | Compute 96/100 × 100. | 96 |
Solve for x: 8x + -27 = -139 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -14 |
Solve: |8x + 3| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 0 |
If each item costs 9 dollars and the total cost is 117, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
Solve: |-4x + -12| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -2(x + 5) = 12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve for x: 3(x + -13) = -66 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve: |-4x + 15| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |5x + 17| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ -1 |
What is 133% of 200? | Compute the percent value (integer-safe). | Compute 133/100 × 200. | 266 |
Solve: |4x + 8| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs -6 dollars and the total cost is 96, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
Simplify: 2x + 0x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 3y |
Solve for x: -7(x + -12) = 63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve: |4x + -8| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 6 |
Solve: |7x + -12| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-5x + 16| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 6 |
Solve: |-1x + 3| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 3 |
Solve: 1x + 17 ≥ 27 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 10 |
Simplify: 3x + 6x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x - 4y |
Simplify: -1x + -2x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 8y |
Solve: |6x + -13| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 5 |
Solve for x: 1(x + -15) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve: |6x + 5| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
Solve for x: -11x + 30 = 250 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
Solve: |4x + -13| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 5 |
What is -14% of 100? | Compute the percent value (integer-safe). | Compute -14/100 × 100. | -14 |
Solve: |-2x + 13| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 5, 8 |
Solve: |-8x + -13| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4 |
Solve for x: -7(x + 2) = 21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve for x: 4(x + -6) = -4 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
What is 139% of 1000? | Compute the percent value (integer-safe). | Compute 139/100 × 1000. | 1390 |
Solve: |4x + -13| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
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 for x: 4(x + 11) = 60 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
What is 147% of 400? | Compute the percent value (integer-safe). | Compute 147/100 × 400. | 588 |
Solve: 4x + 3 < 3 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 0 |
Simplify: 0x + 1x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 4y |
Simplify: -5x + 5x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6y |
Solve for x: 11x + 24 = -9 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve: 10x + 12 ≥ -118 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -13 |
Solve: |6x + 14| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |5x + 5| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 2 |
Solve: |8x + 2| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
If each item costs 5 dollars and the total cost is -65, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
Solve for x: -4(x + 6) = 20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve for x: -2(x + 13) = -10 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
What is 89% of 200? | Compute the percent value (integer-safe). | Compute 89/100 × 200. | 178 |
Solve: -1x + 10 ≥ -2 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 12 |
Solve: 8x + 20 ≥ -12 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -4 |
What is 134% of 0? | Compute the percent value (integer-safe). | Compute 134/100 × 0. | 0 |
Solve: |7x + -3| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2 |
What is 136% of 25? | Compute the percent value (integer-safe). | Compute 136/100 × 25. | 34 |
Solve: -5x + -9 ≥ -84 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 15 |
Solve: |3x + 2| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 5 |
Solve for x: -12x + 11 = -13 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
If each item costs 7 dollars and the total cost is 84, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
What is 150% of 8? | Compute the percent value (integer-safe). | Compute 150/100 × 8. | 12 |
Simplify: 4x + 0x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 7y |
Simplify: -4x + -5x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 2y |
Solve: |-6x + 4| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4 |
Simplify: -1x + -5x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 2y |
Simplify: -8x + -3x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 8y |
Simplify: 8x + 6x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 14x + 4y |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.