question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve for x: -4(x + -5) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: -5x + 12 ≥ -33 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 9 |
Solve: -9x + -9 ≤ 72 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -9 |
Simplify: -4x + -5x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 3y |
What is -41% of 1000? | Compute the percent value (integer-safe). | Compute -41/100 × 1000. | -410 |
Solve for x: 8(x + -7) = -72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
If each item costs -10 dollars and the total cost is -80, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 8 |
Solve: |-4x + -5| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 2 |
Solve: 4x + -14 < 18 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 8 |
Solve for x: 4(x + 6) = 84 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve: -8x + 11 ≤ 67 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -7 |
Solve: |8x + 6| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -5x + 1 < -99 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 20 |
Simplify: 3x + -3x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2y |
Solve: 8x + 14 < 14 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 0 |
Solve: |-3x + 8| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2 |
If each item costs 17 dollars and the total cost is 510, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
Solve for x: -1(x + 14) = -11 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: |4x + 11| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve for x: 7(x + 10) = 49 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve for x: -4x + 26 = -42 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Simplify: 6x + -4x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 7y |
Simplify: -8x + -1x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x + 3y |
Simplify: -8x + 2x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x + 7y |
Solve: |3x + 0| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 6 |
Simplify: -4x + 3x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 2y |
Solve for x: -8(x + -15) = 176 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: |-2x + -12| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -5 |
Simplify: -4x + 8x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 1y |
Solve: |-2x + -2| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ -1 |
Solve: 9x + -4 ≥ 167 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 19 |
Solve for x: -1(x + -11) = 4 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Simplify: -2x + 8x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x + 1y |
What is 110% of 100? | Compute the percent value (integer-safe). | Compute 110/100 × 100. | 110 |
Solve for x: 1x + 5 = 11 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve for x: -1(x + 10) = -8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Simplify: -2x + -2x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 8y |
If each item costs 9 dollars and the total cost is -135, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -15 |
Solve: |1x + -6| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 17, -5 |
Solve: |-2x + -17| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -11 ≤ x ≤ -6 |
What is 51% of 0? | Compute the percent value (integer-safe). | Compute 51/100 × 0. | 0 |
Simplify: -5x + 2x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 8y |
Solve for x: -7x + 21 = -35 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve for x: 3(x + -6) = 3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve for x: -4(x + -6) = 40 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve for x: -4(x + 9) = -8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: |-2x + -1| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -10, 9 |
Solve for x: 6x + 30 = 72 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
If each item costs -5 dollars and the total cost is 35, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -7 |
Solve: |-1x + -13| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -17 ≤ x ≤ -9 |
Solve: 10x + -19 > 31 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 5 |
Solve: -6x + 4 ≤ 88 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -14 |
What is 74% of 200? | Compute the percent value (integer-safe). | Compute 74/100 × 200. | 148 |
What is 75% of 32? | Compute the percent value (integer-safe). | Compute 75/100 × 32. | 24 |
What is 109% of 500? | Compute the percent value (integer-safe). | Compute 109/100 × 500. | 545 |
Solve: 6x + 17 < 11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -1 |
Solve: |3x + -17| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 4 ≤ x ≤ 7 |
Simplify: -1x + 2x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 8y |
Solve: -5x + 11 ≤ -29 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 8 |
Solve for x: -6(x + 5) = -114 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve for x: 5(x + -7) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
What is 66% of 450? | Compute the percent value (integer-safe). | Compute 66/100 × 450. | 297 |
Solve for x: -1x + 23 = 10 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve for x: 6(x + -5) = -48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: |7x + 8| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
What is 44% of 175? | Compute the percent value (integer-safe). | Compute 44/100 × 175. | 77 |
Simplify: -2x + -7x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 5y |
Simplify: -3x + -8x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 1y |
Solve: |-7x + 19| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 3 |
Solve for x: 1x + 10 = -10 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
If each item costs 2 dollars and the total cost is 20, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
If each item costs -3 dollars and the total cost is 15, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -5 |
If each item costs 10 dollars and the total cost is 60, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 6 |
Solve: 3x + 8 > -43 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -17 |
Solve: 4x + 17 ≥ 89 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 18 |
Solve: 5x + 7 ≥ -73 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -16 |
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 |
What is 62% of 500? | Compute the percent value (integer-safe). | Compute 62/100 × 500. | 310 |
Solve for x: 1x + 10 = -1 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Simplify: 5x + -3x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 7y |
Solve: -5x + 2 ≥ 102 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -20 |
Solve: |-6x + -6| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
Solve for x: 1(x + 6) = 21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve: -5x + -20 < -35 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 3 |
Solve: 8x + -2 ≥ -106 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -13 |
Simplify: 3x + 6x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x + 6y |
Solve: |-3x + 7| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 5 |
Solve for x: -2(x + 0) = -26 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: -4x + -2 < -82 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 20 |
Solve for x: -7(x + 14) = -14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve for x: 9x + 14 = -4 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -2 |
Solve: -8x + 10 ≤ 146 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -17 |
Solve: |-8x + -8| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
Solve: -6x + 10 ≥ -86 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 16 |
What is 118% of 400? | Compute the percent value (integer-safe). | Compute 118/100 × 400. | 472 |
Solve: 2x + -13 ≥ -21 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -4 |
What is 145% of 0? | Compute the percent value (integer-safe). | Compute 145/100 × 0. | 0 |
Solve for x: -4x + 17 = 93 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
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. | 23 |
Solve: |-2x + 19| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.