question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is -38% of 100? | Compute the percent value (integer-safe). | Compute -38/100 × 100. | -38 |
Solve: |-1x + -4| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -17, 9 |
If each item costs -8 dollars and the total cost is 120, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -15 |
Solve: |-5x + 4| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 4x + 2 < 66 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 16 |
Solve for x: -2(x + 7) = -28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Simplify: 1x + 3x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 1y |
Solve for x: 11x + -11 = 154 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
If each item costs 13 dollars and the total cost is -130, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -10 |
Solve: |6x + -13| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4 |
If each item costs -4 dollars and the total cost is 72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -18 |
Solve: |-8x + 4| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2, 3 |
Simplify: 5x + 8x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 13x - 2y |
Solve: |-8x + -3| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
If each item costs -4 dollars and the total cost is 28, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -7 |
What is 133% of 700? | Compute the percent value (integer-safe). | Compute 133/100 × 700. | 931 |
Solve for x: 10x + -12 = -212 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
If each item costs 3 dollars and the total cost is 42, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
Solve for x: 5x + 24 = -66 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Solve: |3x + -6| = 1 | 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 -6, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Solve for x: 3x + 3 = 21 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve for x: 1x + 1 = 19 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
What is 115% of 120? | Compute the percent value (integer-safe). | Compute 115/100 × 120. | 138 |
Solve: |6x + -8| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 1 |
Simplify: 6x + -5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 4y |
Solve for x: 3(x + -10) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve: |2x + -19| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 18 |
Solve: |6x + -4| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 2 |
Solve: |7x + -15| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: 3(x + 13) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
What is 140% of 50? | Compute the percent value (integer-safe). | Compute 140/100 × 50. | 70 |
Solve for x: -7(x + 14) = -98 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
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 |
Solve: -6x + -9 ≥ -63 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 9 |
If each item costs 6 dollars and the total cost is 78, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
Simplify: -2x + 5x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 6y |
What is 87% of 900? | Compute the percent value (integer-safe). | Compute 87/100 × 900. | 783 |
Solve: |6x + -5| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
Solve for x: -8(x + 11) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
What is -1% of 700? | Compute the percent value (integer-safe). | Compute -1/100 × 700. | -7 |
What is 31% of 0? | Compute the percent value (integer-safe). | Compute 31/100 × 0. | 0 |
Solve: |8x + 15| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-8x + -20| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ -1 |
Solve for x: -6(x + 9) = -54 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Solve for x: 7x + 23 = -89 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Simplify: 3x + -2x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 1y |
If each item costs 3 dollars and the total cost is 72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
If each item costs -3 dollars and the total cost is 12, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Solve: -2x + -10 > 24 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -17 |
Solve: |7x + -14| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 4 |
What is 148% of 200? | Compute the percent value (integer-safe). | Compute 148/100 × 200. | 296 |
If each item costs 2 dollars and the total cost is -34, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
Solve for x: 10x + 12 = 12 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve for x: 12x + -1 = 167 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve for x: 5(x + -4) = -65 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve: |-7x + -7| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 10 dollars and the total cost is -10, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -1 |
If each item costs 4 dollars and the total cost is 52, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
Solve: -6x + 3 < 117 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -19 |
Solve: |4x + 1| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve: |-4x + -9| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve: |3x + 15| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-1x + 7| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ 21 |
Solve: |4x + -11| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 5 |
Solve for x: -4(x + -12) = 104 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Simplify: 5x + 4x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x + 5y |
Solve: -6x + -13 > 71 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -14 |
Solve for x: 8x + 13 = 13 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve: |8x + 1| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -1x + -8 ≥ 10 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -18 |
Solve for x: 4(x + -8) = -36 | 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 -16, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
Solve: |8x + -15| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
What is 129% of 700? | Compute the percent value (integer-safe). | Compute 129/100 × 700. | 903 |
What is 17% of 700? | Compute the percent value (integer-safe). | Compute 17/100 × 700. | 119 |
Solve for x: -11x + 20 = -35 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
What is 138% of 200? | Compute the percent value (integer-safe). | Compute 138/100 × 200. | 276 |
Simplify: 1x + -6x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x + 3y |
Solve: -4x + 4 > 76 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -18 |
Solve for x: -5x + 1 = 1 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve: |-5x + -14| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 0 |
Solve for x: -4(x + -14) = 52 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve for x: -3x + 27 = -3 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Solve for x: 8(x + -13) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
What is -48% of 50? | Compute the percent value (integer-safe). | Compute -48/100 × 50. | -24 |
If each item costs 3 dollars and the total cost is 3, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Simplify: 1x + -5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 4y |
What is 105% of 20? | Compute the percent value (integer-safe). | Compute 105/100 × 20. | 21 |
Solve: |2x + -4| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ 11 |
What is -8% of 200? | Compute the percent value (integer-safe). | Compute -8/100 × 200. | -16 |
Solve: 3x + 6 ≤ 48 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 14 |
Solve for x: 6(x + 15) = 36 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
What is 89% of 300? | Compute the percent value (integer-safe). | Compute 89/100 × 300. | 267 |
If each item costs -6 dollars and the total cost is -78, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
Solve: |1x + -17| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 35 |
Simplify: -4x + -5x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x + 1y |
Simplify: -2x + -6x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x - 4y |
If each item costs -8 dollars and the total cost is 136, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
Solve for x: -12x + -15 = -219 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.