question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is -10% of 20? | Compute the percent value (integer-safe). | Compute -10/100 × 20. | -2 |
Simplify: 8x + 1x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x - 1y |
Simplify: -5x + 2x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 2y |
If each item costs 3 dollars and the total cost is 78, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
Solve: |-2x + -6| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -12, 6 |
Solve: |3x + 14| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -10x + -20 < -20 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 0 |
Simplify: -8x + 2x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 7y |
Solve for x: 4(x + 3) = -4 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
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 -7 dollars and the total cost is -140, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
Simplify: 1x + 5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 4y |
Solve for x: -12x + 5 = 149 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve: -2x + -14 < -38 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 12 |
If each item costs -8 dollars and the total cost is -184, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
Simplify: -2x + 6x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 8y |
Solve: 8x + 19 < 99 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 10 |
Solve for x: -6(x + 7) = -12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve for x: -5(x + 11) = -100 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Simplify: 5x + 0x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 6y |
Solve: |-8x + -9| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ -1 |
Solve: |-6x + -6| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
Solve for x: -6(x + 7) = -96 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve: 5x + -18 ≤ -43 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -5 |
Solve for x: 5x + -2 = 8 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
What is -3% of 700? | Compute the percent value (integer-safe). | Compute -3/100 × 700. | -21 |
Solve for x: 8(x + -3) = 64 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve for x: 12x + -12 = 132 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
Solve: -4x + 9 < -19 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 7 |
Solve: |7x + 2| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is -37% of 200? | Compute the percent value (integer-safe). | Compute -37/100 × 200. | -74 |
Solve: |5x + 4| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Simplify: 3x + -5x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 1y |
Solve for x: -10x + 20 = 110 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
What is 88% of 150? | Compute the percent value (integer-safe). | Compute 88/100 × 150. | 132 |
Solve: |-7x + 2| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 3 |
Solve for x: 8x + -28 = -100 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
Simplify: -2x + 6x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 8y |
Solve for x: -4(x + -7) = 76 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: |-2x + 13| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 6 ≤ x ≤ 7 |
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: |8x + 10| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Solve: |3x + -6| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 5, -1 |
Solve for x: 7(x + -1) = -105 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve: |-7x + 7| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -10x + 8 = 68 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -6 |
Simplify: -3x + 8x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 5y |
What is 149% of 900? | Compute the percent value (integer-safe). | Compute 149/100 × 900. | 1341 |
Solve: |1x + -2| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -17 ≤ x ≤ 21 |
Solve: |-2x + -10| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -11 ≤ x ≤ 1 |
Solve: 6x + -16 ≤ -118 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -17 |
Solve: |6x + -5| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 3 |
Solve: |1x + 4| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 5, -13 |
What is 12% of 125? | Compute the percent value (integer-safe). | Compute 12/100 × 125. | 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: |-2x + -12| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -13, 1 |
Solve: |1x + -2| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 15, -11 |
Solve: |7x + 7| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ -1 |
If each item costs 20 dollars and the total cost is 440, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
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: |2x + 15| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2, -13 |
Solve for x: -1x + 13 = 3 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Solve for x: -6x + 7 = -35 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
What is 68% of 150? | Compute the percent value (integer-safe). | Compute 68/100 × 150. | 102 |
Solve: |-3x + -5| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Simplify: 1x + -5x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 8y |
What is 29% of 600? | Compute the percent value (integer-safe). | Compute 29/100 × 600. | 174 |
If each item costs -3 dollars and the total cost is -63, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
Solve for x: -8(x + 3) = -112 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: |2x + 17| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -12 ≤ x ≤ -5 |
Solve: |5x + -2| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -2x + 5x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 2y |
Solve for x: -1x + 13 = -2 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Simplify: -8x + 2x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x |
Solve: |3x + -2| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve: |8x + -5| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Solve for x: -5(x + -5) = -30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve for x: 7(x + 8) = 42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve: -5x + -14 < 11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -5 |
What is 120% of 20? | Compute the percent value (integer-safe). | Compute 120/100 × 20. | 24 |
Simplify: -7x + 1x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x + 7y |
What is 90% of 90? | Compute the percent value (integer-safe). | Compute 90/100 × 90. | 81 |
Solve for x: -2(x + 7) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Solve for x: 12x + -29 = -29 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
If each item costs 14 dollars and the total cost is -98, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -7 |
Solve: -9x + -1 ≤ 44 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -5 |
If each item costs -9 dollars and the total cost is -189, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
Solve: |-4x + 14| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 8 |
What is 149% of 0? | Compute the percent value (integer-safe). | Compute 149/100 × 0. | 0 |
Solve: -8x + 0 ≤ -152 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 19 |
What is 125% of 36? | Compute the percent value (integer-safe). | Compute 125/100 × 36. | 45 |
Solve for x: -2(x + 15) = -48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve for x: -7x + 21 = 14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Solve: |2x + -13| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 13 |
If each item costs 14 dollars and the total cost is 392, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 28 |
Simplify: 8x + 0x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x + 5y |
Simplify: -8x + 6x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 2y |
Solve for x: -5(x + -14) = 115 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Simplify: 5x + -3x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 4y |
Solve for x: -6(x + 1) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
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