question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is 79% of 400? | Compute the percent value (integer-safe). | Compute 79/100 × 400. | 316 |
What is 3% of 500? | Compute the percent value (integer-safe). | Compute 3/100 × 500. | 15 |
If each item costs -10 dollars and the total cost is -50, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 5 |
Solve: |6x + -11| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4 |
Solve: |7x + 11| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 1 dollars and the total cost is -17, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
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: |6x + 20| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -3 |
Solve for x: 3x + 29 = -10 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -13 |
Solve: |-5x + 1| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Solve: |1x + 3| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Solve for x: 6(x + 15) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Solve: |8x + -12| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 2 dollars and the total cost is -22, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve for x: -6(x + -1) = 66 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Simplify: 5x + 8x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 13x + 8y |
What is 138% of 50? | Compute the percent value (integer-safe). | Compute 138/100 × 50. | 69 |
Solve: |6x + 1| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 0 |
What is 141% of 0? | Compute the percent value (integer-safe). | Compute 141/100 × 0. | 0 |
Solve: -1x + 14 ≤ 17 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -3 |
Solve for x: 1x + -26 = -37 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
What is -18% of 0? | Compute the percent value (integer-safe). | Compute -18/100 × 0. | 0 |
Solve: |-4x + 20| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 9 |
Solve for x: -7(x + 15) = -196 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
If each item costs 19 dollars and the total cost is -171, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Solve: 8x + 7 > 135 | 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 72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -12 |
Simplify: 3x + 4x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x - 6y |
Solve for x: 8x + 8 = 104 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
Solve: -2x + 2 < 16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -7 |
Solve: |-8x + 4| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
Solve: |-2x + -8| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4 |
Solve for x: 6x + 18 = 36 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
Simplify: -5x + 6x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 6y |
Solve: -9x + -2 ≥ 88 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -10 |
Solve: -1x + -2 > 13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -15 |
What is 24% of 75? | Compute the percent value (integer-safe). | Compute 24/100 × 75. | 18 |
Solve: 4x + 17 > 9 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -2 |
Solve for x: 6(x + -5) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve for x: 4(x + 5) = -16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve: -6x + 5 ≥ -19 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 4 |
Solve: |2x + -2| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 2x + -20 = 0 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Simplify: -1x + -4x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x + 8y |
Solve: |-5x + 9| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2 |
Solve for x: 1x + 5 = 24 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
Simplify: 4x + 5x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x + 4y |
If each item costs 1 dollars and the total cost is -3, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
What is -48% of 225? | Compute the percent value (integer-safe). | Compute -48/100 × 225. | -108 |
Solve: |2x + 0| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -8(x + -10) = 112 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve: |2x + -16| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 17 |
What is -37% of 800? | Compute the percent value (integer-safe). | Compute -37/100 × 800. | -296 |
Solve: |7x + -12| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |5x + 11| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
What is 64% of 175? | Compute the percent value (integer-safe). | Compute 64/100 × 175. | 112 |
Solve: |7x + 13| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
Solve: 9x + 20 ≤ 110 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 10 |
What is 142% of 500? | Compute the percent value (integer-safe). | Compute 142/100 × 500. | 710 |
What is 126% of 300? | Compute the percent value (integer-safe). | Compute 126/100 × 300. | 378 |
Solve: 6x + 3 ≥ 45 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 7 |
Solve for x: 11x + -28 = 16 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 4 |
If each item costs 7 dollars and the total cost is -14, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
Solve: 3x + 7 ≥ 16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 3 |
Solve for x: 12x + -29 = -5 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
Solve: |6x + -1| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -4x + 4x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8y |
Solve: |-4x + -4| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve for x: -9x + 21 = -105 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
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 |
Solve: |2x + 18| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -10 ≤ x ≤ -8 |
What is 109% of 100? | Compute the percent value (integer-safe). | Compute 109/100 × 100. | 109 |
Solve: |-7x + -5| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
Solve: -4x + -13 < -73 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 15 |
Solve: |-6x + 11| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
Solve for x: 5x + -7 = -27 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve for x: -6(x + 2) = -96 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve for x: 6(x + -1) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
If each item costs 11 dollars and the total cost is -209, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -19 |
If each item costs 2 dollars and the total cost is 36, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
If each item costs -1 dollars and the total cost is 15, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -15 |
Solve: |-1x + 4| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -11, 19 |
Solve: |-4x + -1| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 77% of 400? | Compute the percent value (integer-safe). | Compute 77/100 × 400. | 308 |
If each item costs 1 dollars and the total cost is -16, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
What is -2% of 100? | Compute the percent value (integer-safe). | Compute -2/100 × 100. | -2 |
Solve for x: -6(x + -8) = 132 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve: |7x + 7| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ -1 |
Solve for x: -1x + 5 = -8 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve: |-2x + -13| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -12, -1 |
If each item costs -4 dollars and the total cost is -64, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 16 |
Solve: |4x + -12| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 6 |
What is 137% of 900? | Compute the percent value (integer-safe). | Compute 137/100 × 900. | 1233 |
Solve for x: -1x + 17 = 18 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
Solve for x: -2(x + -14) = 14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve: |1x + -19| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 17 ≤ x ≤ 21 |
Solve: 2x + -1 > -5 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -2 |
Solve: |-7x + 7| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 1x + 8x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x + 8y |
Simplify: 6x + 8x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 14x + 5y |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.