question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is 150% of 14? | Compute the percent value (integer-safe). | Compute 150/100 × 14. | 21 |
Solve: -2x + 18 < 44 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -13 |
Solve: |5x + -15| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 4 |
Solve: |8x + 11| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
Solve: -10x + 17 ≥ 67 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -5 |
Simplify: -5x + -8x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -13x + 2y |
Simplify: -8x + 5x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 5y |
Solve for x: -1x + 4 = -4 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve for x: -5x + -8 = -63 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 11 |
Solve: 8x + -14 < 2 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 2 |
Solve: |-3x + -9| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -6x + -5x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 3y |
Solve: 8x + -6 > -142 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -17 |
Solve: |-2x + -16| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -12 ≤ x ≤ -4 |
Simplify: -4x + 7x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 5y |
Solve: 9x + -10 ≥ -127 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -13 |
Solve: |6x + 17| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
Solve: |5x + 6| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 1 |
Solve: 4x + -1 ≤ -45 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -11 |
What is 13% of 900? | Compute the percent value (integer-safe). | Compute 13/100 × 900. | 117 |
Solve for x: -9x + 29 = 11 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
Solve: 9x + -13 < 140 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 17 |
Solve for x: 3(x + -12) = -48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve: |-7x + 16| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
Solve: -2x + 14 > 54 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
Solve for x: 6x + -26 = 88 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
If each item costs 7 dollars and the total cost is 168, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
Solve for x: 3(x + -13) = -48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve for x: -7x + 18 = 74 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
Solve: -5x + 3 > 68 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -13 |
What is 112% of 25? | Compute the percent value (integer-safe). | Compute 112/100 × 25. | 28 |
Solve: |-7x + 10| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 2 |
What is -20% of 50? | Compute the percent value (integer-safe). | Compute -20/100 × 50. | -10 |
Solve: |-8x + -14| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -1 |
Solve for x: 5(x + 8) = 10 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Solve for x: 7(x + 13) = 147 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve: 5x + -11 > 39 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 10 |
Solve for x: -2(x + 9) = -38 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Solve for x: 4x + -2 = -50 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve: -2x + 15 ≤ -21 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 18 |
Solve: -2x + -5 ≤ -23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 9 |
If each item costs -3 dollars and the total cost is 57, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -19 |
What is -40% of 40? | Compute the percent value (integer-safe). | Compute -40/100 × 40. | -16 |
Solve: |-8x + 7| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
Simplify: 5x + 6x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 11x |
Solve for x: 1(x + 4) = 15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: |8x + 6| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 1 |
Solve: 6x + -19 > 95 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 19 |
Solve for x: 3(x + -5) = -3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve for x: -8(x + -5) = 8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve: 10x + -10 > 170 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 18 |
Solve: |8x + 1| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs -7 dollars and the total cost is 63, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Solve: |-5x + -14| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 0 |
Solve: 6x + 18 > 60 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 7 |
What is 138% of 400? | Compute the percent value (integer-safe). | Compute 138/100 × 400. | 552 |
Solve: -1x + -19 > -30 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 11 |
Solve: |3x + 16| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -3 |
Solve: |7x + -7| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 2 |
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 |
Solve for x: -8(x + -12) = 128 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
What is 120% of 45? | Compute the percent value (integer-safe). | Compute 120/100 × 45. | 54 |
Simplify: 1x + 8x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x - 5y |
What is 145% of 180? | Compute the percent value (integer-safe). | Compute 145/100 × 180. | 261 |
Solve for x: -12x + 6 = 126 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
What is 85% of 80? | Compute the percent value (integer-safe). | Compute 85/100 × 80. | 68 |
Solve for x: 1x + 2 = -1 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve: |5x + -8| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 2 |
Simplify: -6x + 5x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 1y |
Solve for x: -3(x + 6) = 9 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve for x: -8(x + -6) = 88 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve: |-8x + -6| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-8x + -2| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 6x + 11 ≥ -31 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -7 |
Solve: |-3x + 1| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 5 |
Simplify: -3x + 0x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 1y |
Simplify: 2x + 5x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x + 4y |
Solve for x: -3(x + 15) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Simplify: -3x + -5x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x |
What is 132% of 25? | Compute the percent value (integer-safe). | Compute 132/100 × 25. | 33 |
Simplify: -8x + 8x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 0 |
Solve: -6x + -18 > -96 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 13 |
Solve for x: 10x + -21 = -21 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
What is 86% of 100? | Compute the percent value (integer-safe). | Compute 86/100 × 100. | 86 |
What is 69% of 100? | Compute the percent value (integer-safe). | Compute 69/100 × 100. | 69 |
Solve for x: -10x + -26 = -106 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
What is 34% of 450? | Compute the percent value (integer-safe). | Compute 34/100 × 450. | 153 |
Simplify: 3x + 5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x - 4y |
If each item costs 15 dollars and the total cost is 225, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
Solve: |-8x + 9| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
What is -8% of 100? | Compute the percent value (integer-safe). | Compute -8/100 × 100. | -8 |
Solve for x: 4x + -21 = -69 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve: |6x + -3| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
If each item costs -1 dollars and the total cost is 20, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -20 |
Simplify: -8x + -2x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -10x + 3y |
Solve: |4x + 0| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 2 |
Solve: |-1x + -10| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -24 ≤ x ≤ 4 |
Solve for x: 9x + 17 = 170 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Solve: |-4x + -2| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 8 dollars and the total cost is -32, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.