question stringlengths 16 86 | problem stringclasses 8 values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is 16% of 75? | Compute the percent value (integer-safe). | Compute 16/100 × 75. | 12 |
Solve: 3x + -11 ≥ -29 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -6 |
Solve for x: 6x + 23 = 107 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve for x: -6x + 20 = -34 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Solve for x: -12x + 27 = 63 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
What is 105% of 160? | Compute the percent value (integer-safe). | Compute 105/100 × 160. | 168 |
If each item costs 17 dollars and the total cost is -17, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -1 |
Simplify: -3x + -2x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x - 6y |
What is 59% of 900? | Compute the percent value (integer-safe). | Compute 59/100 × 900. | 531 |
What is 149% of 500? | Compute the percent value (integer-safe). | Compute 149/100 × 500. | 745 |
If each item costs 9 dollars and the total cost is -36, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
If each item costs 5 dollars and the total cost is -100, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -20 |
Solve: |-8x + 7| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve for x: -2x + -11 = -31 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Simplify: -3x + 6x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 4y |
Solve: -3x + -11 > 1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -4 |
Solve: |4x + 19| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -2 |
Solve: |-1x + -2| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -16 ≤ x ≤ 12 |
Solve for x: -8(x + -15) = 144 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Simplify: 2x + -4x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 1y |
What is 24% of 100? | Compute the percent value (integer-safe). | Compute 24/100 × 100. | 24 |
What is 142% of 250? | Compute the percent value (integer-safe). | Compute 142/100 × 250. | 355 |
Solve: -1x + 14 < 22 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -8 |
Solve for x: -1x + -21 = -14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -7 |
Solve for x: -3(x + -3) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve: -9x + 6 > -39 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 5 |
Solve for x: 6x + 28 = 70 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
Simplify: 8x + 0x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x + 4y |
Solve for x: 5(x + 9) = 35 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve for x: -8(x + 13) = 8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve: |3x + -6| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -8x + 0x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x - 7y |
Simplify: 5x + -8x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 5y |
What is 58% of 50? | Compute the percent value (integer-safe). | Compute 58/100 × 50. | 29 |
Solve: -7x + -8 > -50 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 6 |
Solve: |3x + 20| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -10 ≤ x ≤ -3 |
Solve: |2x + -7| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 4 |
What is -2% of 200? | Compute the percent value (integer-safe). | Compute -2/100 × 200. | -4 |
Solve: |5x + -12| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |4x + 1| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |2x + -4| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ 11 |
Solve: 3x + 1 ≥ -14 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -5 |
Simplify: -6x + 5x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 4y |
Solve for x: 5x + -18 = 32 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Solve: |7x + 4| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 1 |
Solve for x: -11x + 23 = 243 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
Solve for x: 2x + -30 = -2 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve: |4x + 10| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: -1x + -19 = -38 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
What is -31% of 800? | Compute the percent value (integer-safe). | Compute -31/100 × 800. | -248 |
If each item costs -8 dollars and the total cost is 104, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
Solve: -2x + -7 > -15 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 4 |
Solve for x: 8(x + 14) = 200 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: |-8x + 14| = 4 | 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) = -78 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve for x: 2x + 12 = -26 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
Solve for x: -8(x + 14) = -56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
What is 108% of 250? | Compute the percent value (integer-safe). | Compute 108/100 × 250. | 270 |
Simplify: -7x + 0x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x + 8y |
Solve: |8x + -15| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |6x + -17| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 5 |
Solve for x: -5(x + 7) = -5 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Solve: |-6x + -6| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -1(x + 15) = -6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve: |-6x + -13| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
If each item costs -7 dollars and the total cost is 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 0 |
Solve for x: -10x + 2 = -78 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve for x: -1x + -11 = -24 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve for x: 3(x + -7) = -3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
If each item costs -5 dollars and the total cost is 40, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
Solve: 4x + 13 ≤ 65 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 13 |
Solve: -9x + 16 > -92 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 12 |
If each item costs 13 dollars and the total cost is 325, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 25 |
Solve: |-4x + -15| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 9x + 20 ≤ -133 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -17 |
Solve: |4x + -12| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4, 2 |
Solve for x: -2x + 18 = -4 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 11 |
Solve: |-2x + -7| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -10 ≤ x ≤ 3 |
Solve for x: -2(x + -12) = 28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve: |-4x + -16| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ -4 |
Simplify: 1x + 8x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x - 8y |
Solve: |3x + 6| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2, -6 |
Solve: |4x + -12| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 67% of 500? | Compute the percent value (integer-safe). | Compute 67/100 × 500. | 335 |
If each item costs 18 dollars and the total cost is 162, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 9 |
Solve: |-7x + -16| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
Solve: |-6x + -11| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 1 |
If each item costs 14 dollars and the total cost is 84, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 6 |
Solve for x: 7(x + -1) = -105 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
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 |
If each item costs 20 dollars and the total cost is -60, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
Solve: |3x + 14| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -1x + 5x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 1y |
If each item costs 14 dollars and the total cost is 28, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
If each item costs 7 dollars and the total cost is -77, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
What is -45% of 180? | Compute the percent value (integer-safe). | Compute -45/100 × 180. | -81 |
Solve for x: 1(x + -14) = -27 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve for x: -3(x + -4) = -3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve for x: 11x + -10 = -43 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve: |-2x + -9| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -8, -1 |
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