question stringlengths 16 86 | problem stringclasses 8 values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
If each item costs -3 dollars and the total cost is -51, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
Solve: |-6x + 6| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 17 dollars and the total cost is -187, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve: -6x + 1 < 1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 0 |
Solve for x: 6(x + 4) = -60 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve: 9x + -1 ≥ -19 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -2 |
Solve for x: 3x + -15 = -15 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
What is 0% of 5? | Compute the percent value (integer-safe). | Compute 0/100 × 5. | 0 |
What is 24% of 0? | Compute the percent value (integer-safe). | Compute 24/100 × 0. | 0 |
Solve: |-8x + -15| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -6x + 7 > -29 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 6 |
What is 97% of 300? | Compute the percent value (integer-safe). | Compute 97/100 × 300. | 291 |
Solve for x: 6x + 30 = -18 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
Solve for x: -7x + -14 = 105 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Solve: -10x + -18 > -98 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 8 |
Simplify: -7x + 3x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 5y |
What is -22% of 50? | Compute the percent value (integer-safe). | Compute -22/100 × 50. | -11 |
If each item costs 17 dollars and the total cost is 119, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
Solve for x: -3(x + 12) = -33 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
If each item costs -2 dollars and the total cost is -30, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
Solve: -1x + 6 ≥ -1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 7 |
Solve for x: -6(x + 1) = -6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
What is 32% of 25? | Compute the percent value (integer-safe). | Compute 32/100 × 25. | 8 |
Solve: |-8x + -10| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -1 |
Simplify: 6x + 3x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x - 8y |
Solve: 3x + -7 ≤ 11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 6 |
Solve for x: 6(x + 5) = 108 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
If each item costs 15 dollars and the total cost is 360, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
What is 66% of 250? | Compute the percent value (integer-safe). | Compute 66/100 × 250. | 165 |
Simplify: -6x + 5x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 6y |
What is 42% of 400? | Compute the percent value (integer-safe). | Compute 42/100 × 400. | 168 |
Solve: |6x + -1| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Simplify: 0x + 6x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 3y |
Solve for x: 3x + -11 = -26 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
Solve for x: 6(x + 7) = 30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
What is 41% of 800? | Compute the percent value (integer-safe). | Compute 41/100 × 800. | 328 |
Solve: |-6x + -7| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Simplify: -1x + -3x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 6y |
Solve for x: -12x + -13 = -73 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
Simplify: 1x + -8x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 2y |
Simplify: 0x + 3x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 5y |
What is 85% of 0? | Compute the percent value (integer-safe). | Compute 85/100 × 0. | 0 |
Simplify: 8x + -3x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 4y |
Solve for x: 8(x + 15) = 32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Simplify: -4x + 0x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x |
If each item costs 9 dollars and the total cost is 90, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
If each item costs -4 dollars and the total cost is -48, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
What is 62% of 0? | Compute the percent value (integer-safe). | Compute 62/100 × 0. | 0 |
Solve for x: -3x + -1 = 2 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
Solve for x: 5(x + 5) = 30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: -9x + 1 > -179 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 20 |
Solve: |8x + 0| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 50% of 10? | Compute the percent value (integer-safe). | Compute 50/100 × 10. | 5 |
If each item costs 4 dollars and the total cost is -32, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
Solve for x: 1(x + 14) = 14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Solve for x: -7(x + -4) = 105 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Simplify: -1x + 3x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 4y |
Solve: |-3x + -10| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 115% of 140? | Compute the percent value (integer-safe). | Compute 115/100 × 140. | 161 |
Solve for x: -7(x + -1) = -49 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
What is 84% of 0? | Compute the percent value (integer-safe). | Compute 84/100 × 0. | 0 |
Solve for x: -6x + 26 = -28 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
What is -35% of 100? | Compute the percent value (integer-safe). | Compute -35/100 × 100. | -35 |
What is 29% of 400? | Compute the percent value (integer-safe). | Compute 29/100 × 400. | 116 |
Solve for x: 8(x + 2) = 56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve: |-2x + -11| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -14, 3 |
Solve: |-7x + -13| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve for x: 11x + -23 = 32 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
Solve: -8x + -11 > -43 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 4 |
Simplify: -6x + 5x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 2y |
What is 129% of 0? | Compute the percent value (integer-safe). | Compute 129/100 × 0. | 0 |
Solve: 3x + -4 ≥ -37 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -11 |
Solve: 9x + -9 > 36 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 5 |
Solve: |-7x + 10| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4 |
Solve: |6x + -2| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 3 |
If each item costs 18 dollars and the total cost is 414, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
Simplify: -1x + -1x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 7y |
Simplify: 5x + -3x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 7y |
Solve for x: 5(x + 10) = 80 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
If each item costs 17 dollars and the total cost is 306, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
Solve: |7x + 15| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
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 for x: 4x + 29 = -43 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
If each item costs 1 dollars and the total cost is 2, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve: |5x + 5| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 5x + -7x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 4y |
Solve: |8x + 7| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 1 |
Simplify: -8x + -4x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -12x + 7y |
Solve for x: -11x + 8 = -3 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Solve: |-7x + 1| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -4x + 12 = -68 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 20 |
Simplify: 0x + 2x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 2y |
Solve: |-3x + -10| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -3 |
What is 57% of 200? | Compute the percent value (integer-safe). | Compute 57/100 × 200. | 114 |
Simplify: -5x + -6x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 5y |
Simplify: 4x + -1x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 7y |
Solve: |-1x + 13| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 11 ≤ x ≤ 15 |
Simplify: 4x + -8x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x |
Solve for x: -1(x + 12) = -13 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
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 |
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