question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringclasses 940
values | answer stringlengths 1 20 |
|---|---|---|---|
Simplify: 0x + -1x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x |
Solve: |-5x + -14| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -8x + 24 = 32 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
Solve: |8x + -4| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
If each item costs -2 dollars and the total cost is -4, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve: -10x + -14 < 116 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -13 |
Simplify: -5x + -2x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 4y |
If each item costs 4 dollars and the total cost is 12, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 3 |
What is 3% of 800? | Compute the percent value (integer-safe). | Compute 3/100 × 800. | 24 |
Solve: |-6x + -12| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 133% of 700? | Compute the percent value (integer-safe). | Compute 133/100 × 700. | 931 |
Solve for x: -3x + -1 = 23 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
What is 51% of 0? | Compute the percent value (integer-safe). | Compute 51/100 × 0. | 0 |
Solve for x: 6(x + -6) = 36 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
Solve: -5x + -1 ≤ -21 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 4 |
What is 22% of 300? | Compute the percent value (integer-safe). | Compute 22/100 × 300. | 66 |
Solve: -5x + -13 > 87 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
What is 131% of 400? | Compute the percent value (integer-safe). | Compute 131/100 × 400. | 524 |
Simplify: -3x + -4x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 1y |
Solve: |-8x + 0| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-1x + -2| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ 5 |
Solve: |5x + -3| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 16% of 175? | Compute the percent value (integer-safe). | Compute 16/100 × 175. | 28 |
Solve for x: 2x + -27 = -61 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
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 |
Solve for x: 7(x + 3) = -77 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
What is -23% of 600? | Compute the percent value (integer-safe). | Compute -23/100 × 600. | -138 |
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: -6(x + 8) = -6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: -5x + -10 ≤ 90 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -20 |
Solve for x: 3(x + -3) = -9 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Solve for x: -7(x + 13) = -70 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
What is 61% of 400? | Compute the percent value (integer-safe). | Compute 61/100 × 400. | 244 |
Solve for x: 3(x + -7) = -18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve for x: -2(x + 6) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
If each item costs 2 dollars and the total cost is 14, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
What is 137% of 0? | Compute the percent value (integer-safe). | Compute 137/100 × 0. | 0 |
Solve: 1x + 18 < 31 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 13 |
What is 60% of 25? | Compute the percent value (integer-safe). | Compute 60/100 × 25. | 15 |
Solve for x: -5(x + 6) = -25 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
What is 136% of 175? | Compute the percent value (integer-safe). | Compute 136/100 × 175. | 238 |
Solve: -9x + 1 > -143 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 16 |
Solve: |-3x + -10| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4 |
Solve for x: -5(x + 5) = -50 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve: |-3x + 3| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -5, 7 |
Solve: |-5x + -6| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-8x + 9| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 20 dollars and the total cost is 240, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
What is 127% of 600? | Compute the percent value (integer-safe). | Compute 127/100 × 600. | 762 |
If each item costs -7 dollars and the total cost is -119, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
Solve: |-3x + -2| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4 |
Solve: -7x + -10 < 130 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -20 |
Solve for x: 2(x + 13) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve for x: -11x + 9 = 130 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Solve: |2x + -2| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 4x + 3x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x + 1y |
Solve for x: -4(x + -1) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve: -7x + -5 ≥ -131 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 18 |
Solve: |3x + 18| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -5 |
Simplify: 1x + 0x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 5y |
What is -2% of 100? | Compute the percent value (integer-safe). | Compute -2/100 × 100. | -2 |
Solve for x: -8(x + 13) = -120 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve for x: -2(x + -14) = 52 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
What is -15% of 60? | Compute the percent value (integer-safe). | Compute -15/100 × 60. | -9 |
Solve for x: 5(x + 11) = 35 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve: -1x + -9 ≤ -4 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -5 |
Solve for x: -8x + 26 = 122 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve: |5x + -10| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-6x + 20| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 4 |
Solve: -6x + 0 > 120 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
Solve: |-3x + -8| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Simplify: 6x + -7x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 6y |
Solve: |5x + -19| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 5 |
Solve: -4x + 20 ≥ -56 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 19 |
Simplify: 4x + 7x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 11x + 1y |
Solve for x: 11x + 26 = 180 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve: |8x + -12| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: 9x + -9 = 63 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve: -9x + -19 > -1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -2 |
If each item costs -9 dollars and the total cost is -216, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
What is -32% of 0? | Compute the percent value (integer-safe). | Compute -32/100 × 0. | 0 |
Solve: |-4x + -2| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 3 |
Solve: -2x + -9 ≥ -13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 2 |
What is 24% of 25? | Compute the percent value (integer-safe). | Compute 24/100 × 25. | 6 |
Simplify: -2x + -3x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x + 7y |
Simplify: -1x + 2x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 3y |
If each item costs 11 dollars and the total cost is 165, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
Solve for x: -3(x + 10) = -60 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
If each item costs 10 dollars and the total cost is 40, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
If each item costs 10 dollars and the total cost is 220, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve: 8x + 7 < 79 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 9 |
Solve: |-7x + -3| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 0 |
If each item costs 18 dollars and the total cost is 36, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve: |-1x + -15| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -31 ≤ x ≤ 1 |
What is 98% of 150? | Compute the percent value (integer-safe). | Compute 98/100 × 150. | 147 |
Solve for x: -6(x + 8) = -114 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Simplify: -3x + -6x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 2y |
What is 13% of 400? | Compute the percent value (integer-safe). | Compute 13/100 × 400. | 52 |
Solve: |-7x + 2| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve: |-8x + 11| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 3 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.