question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Simplify: -8x + -6x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -14x - 3y |
Solve for x: -10x + 13 = -127 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
What is 26% of 200? | Compute the percent value (integer-safe). | Compute 26/100 × 200. | 52 |
Solve: |-7x + 5| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
If each item costs -7 dollars and the total cost is 28, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
If each item costs -4 dollars and the total cost is -88, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve for x: -3x + 11 = 26 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
Solve for x: -7(x + -6) = 63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve for x: 2(x + -13) = -6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
What is -47% of 100? | Compute the percent value (integer-safe). | Compute -47/100 × 100. | -47 |
Solve for x: -8x + 16 = 168 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
Solve: 4x + 1 ≤ 69 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 17 |
Simplify: 1x + 5x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 3y |
What is 2% of 400? | Compute the percent value (integer-safe). | Compute 2/100 × 400. | 8 |
Solve: -5x + 8 < -67 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 15 |
Solve: |3x + -14| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 10 |
Solve for x: -1x + -25 = -16 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
Solve: |7x + 12| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 2x + -8x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x |
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 |
If each item costs 10 dollars and the total cost is 160, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 16 |
Solve: |6x + 11| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 0 |
What is 87% of 200? | Compute the percent value (integer-safe). | Compute 87/100 × 200. | 174 |
Solve for x: 5x + -24 = 21 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
What is -35% of 100? | Compute the percent value (integer-safe). | Compute -35/100 × 100. | -35 |
Solve: |2x + 15| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1, -16 |
Solve: -8x + -19 < -11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -1 |
Simplify: 7x + 7x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 14x + 6y |
Solve: |4x + -14| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |1x + -1| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2, 0 |
Solve: |1x + -10| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 20, 0 |
Solve for x: 6(x + 11) = 42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Simplify: -3x + 1x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 4y |
Solve: 2x + 2 < -38 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -20 |
If each item costs 16 dollars and the total cost is -160, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -10 |
Solve for x: 5x + -7 = -72 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -13 |
Simplify: -6x + 2x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 8y |
If each item costs 11 dollars and the total cost is 220, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
Solve: |4x + 10| = 11 | 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 -12, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 6 |
Simplify: -1x + 2x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 8y |
Solve: -7x + 13 < -57 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 10 |
Solve for x: -5x + 23 = 123 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
Solve: 1x + 12 > 5 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -7 |
Simplify: -4x + 3x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x |
If each item costs 20 dollars and the total cost is 340, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
Solve for x: -5x + 22 = 72 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
Solve for x: -2(x + -15) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
Solve for x: 4(x + 11) = 96 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: |7x + 3| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |1x + 13| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -28 ≤ x ≤ 2 |
Solve: |6x + -7| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 4 |
Solve for x: -7x + 18 = 116 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -14 |
Solve: |-3x + 13| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 6 |
Solve: |-3x + -6| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -8 ≤ x ≤ 4 |
Solve: |-5x + 10| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 4 |
Solve: |-6x + -20| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ -1 |
Solve for x: 5(x + 8) = 25 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: |-1x + 14| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2, 26 |
Solve for x: -3x + 5 = 62 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
Simplify: -6x + -6x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -12x + 5y |
What is 20% of 50? | Compute the percent value (integer-safe). | Compute 20/100 × 50. | 10 |
Solve for x: 6(x + -3) = -108 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Simplify: 8x + -5x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 3y |
Solve: |1x + 0| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 13, -13 |
Solve: 3x + 4 < 34 | 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 + 2) = -26 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve for x: 10x + 9 = 189 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
Solve: |1x + -9| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 10, 8 |
What is 148% of 50? | Compute the percent value (integer-safe). | Compute 148/100 × 50. | 74 |
Solve for x: 5(x + 12) = 105 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve: 4x + 9 ≤ 57 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 12 |
What is -3% of 1000? | Compute the percent value (integer-safe). | Compute -3/100 × 1000. | -30 |
Solve: 4x + 4 ≥ 36 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 8 |
Solve: 1x + -16 > -19 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -3 |
Solve for x: -6(x + -14) = 144 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve for x: -7(x + -12) = 175 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve: |-2x + -6| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 0 |
Solve for x: -1(x + 14) = -9 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Simplify: -5x + 1x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 4y |
What is 49% of 600? | Compute the percent value (integer-safe). | Compute 49/100 × 600. | 294 |
Solve: 3x + -7 ≤ 47 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 18 |
What is -3% of 600? | Compute the percent value (integer-safe). | Compute -3/100 × 600. | -18 |
What is 129% of 0? | Compute the percent value (integer-safe). | Compute 129/100 × 0. | 0 |
Solve for x: 2(x + -13) = -30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Simplify: 7x + 5x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x + 1y |
What is 124% of 100? | Compute the percent value (integer-safe). | Compute 124/100 × 100. | 124 |
Solve: 1x + -16 ≥ -36 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -20 |
Solve: |6x + 6| = 2 | 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 -50, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 5 |
Solve: |-4x + 2| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 31% of 900? | Compute the percent value (integer-safe). | Compute 31/100 × 900. | 279 |
What is 37% of 800? | Compute the percent value (integer-safe). | Compute 37/100 × 800. | 296 |
What is 89% of 600? | Compute the percent value (integer-safe). | Compute 89/100 × 600. | 534 |
Solve: |-3x + 11| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 10 |
Solve for x: 5(x + 15) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Simplify: 2x + -8x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 7y |
Solve: -4x + 6 ≥ 58 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -13 |
Solve for x: -6(x + -15) = 162 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: 4x + 11 < 7 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -1 |
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