question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
If each item costs 14 dollars and the total cost is -154, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
What is 91% of 100? | Compute the percent value (integer-safe). | Compute 91/100 × 100. | 91 |
Solve: |4x + 11| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
Simplify: -6x + 4x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 5y |
Solve: -6x + 9 ≥ 15 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -1 |
Solve for x: -9x + 20 = -97 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Simplify: -4x + -2x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 1y |
Solve: |-4x + 4| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 36% of 225? | Compute the percent value (integer-safe). | Compute 36/100 × 225. | 81 |
Simplify: 1x + -2x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 2y |
Solve: |-7x + 7| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1, 3 |
If each item costs 8 dollars and the total cost is 104, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
If each item costs 1 dollars and the total cost is 26, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
If each item costs 5 dollars and the total cost is -55, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve for x: 9x + 3 = -150 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Solve: |-5x + 20| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 6 |
Solve for x: -1x + 10 = 3 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
Solve: |3x + -13| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
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 |
Solve for x: 10x + -27 = 73 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
What is 93% of 400? | Compute the percent value (integer-safe). | Compute 93/100 × 400. | 372 |
Simplify: 3x + -5x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 6y |
Solve for x: 7(x + 4) = 77 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve: |-5x + -2| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Simplify: 1x + 5x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 8y |
Solve: |-6x + -19| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -1 |
Solve for x: -2x + -1 = 37 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
Simplify: 4x + -3x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 7y |
Solve: |4x + -16| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 6 |
What is 85% of 120? | Compute the percent value (integer-safe). | Compute 85/100 × 120. | 102 |
If each item costs 20 dollars and the total cost is 260, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
Solve: |-5x + 8| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 5 |
Solve for x: 7x + -12 = -110 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -14 |
What is 107% of 600? | Compute the percent value (integer-safe). | Compute 107/100 × 600. | 642 |
If each item costs 13 dollars and the total cost is 260, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
What is -31% of 900? | Compute the percent value (integer-safe). | Compute -31/100 × 900. | -279 |
Simplify: 8x + 7x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 15x - 6y |
If each item costs 4 dollars and the total cost is 104, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
Solve: |-7x + 6| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Simplify: 3x + 8x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 11x - 8y |
Solve for x: 4x + -2 = 58 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
What is 40% of 40? | Compute the percent value (integer-safe). | Compute 40/100 × 40. | 16 |
If each item costs -4 dollars and the total cost is -92, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
What is 90% of 80? | Compute the percent value (integer-safe). | Compute 90/100 × 80. | 72 |
Solve: 8x + -2 ≥ -114 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -14 |
Simplify: -7x + 6x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 3y |
Solve: |2x + 0| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
Simplify: 0x + -7x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 3y |
Simplify: 4x + -2x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 5y |
Solve for x: 6(x + 8) = 120 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
Solve: -4x + -2 ≤ -54 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 13 |
Solve for x: -8(x + -5) = 64 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
What is 127% of 800? | Compute the percent value (integer-safe). | Compute 127/100 × 800. | 1016 |
What is 31% of 1000? | Compute the percent value (integer-safe). | Compute 31/100 × 1000. | 310 |
Simplify: -4x + 8x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 2y |
What is 101% of 700? | Compute the percent value (integer-safe). | Compute 101/100 × 700. | 707 |
Solve: |8x + -1| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
Solve: 1x + 20 > 16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -4 |
Solve for x: -5(x + -5) = 30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve for x: 4(x + 9) = 88 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
If each item costs -9 dollars and the total cost is 54, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -6 |
If each item costs 3 dollars and the total cost is -33, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve: |-1x + -6| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -13, 1 |
Solve: -4x + 20 > 0 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 5 |
Solve for x: 3x + 19 = 1 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -6 |
Simplify: -2x + 3x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 2y |
Solve for x: 5(x + 4) = 55 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Simplify: -4x + 2x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 7y |
Solve: |3x + -1| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-5x + -16| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -2 |
Solve for x: 4x + -8 = 16 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve: |-3x + 10| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 9 |
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 |
Solve: -7x + -5 ≤ 100 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -15 |
Solve: |2x + -1| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
Solve: -9x + -15 ≤ -6 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -1 |
Solve: |-3x + 12| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 9 |
Solve: |-1x + -9| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -17 ≤ x ≤ -1 |
Solve: |-7x + -12| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 16 dollars and the total cost is 144, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 9 |
Solve: |6x + 11| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
If each item costs 11 dollars and the total cost is 154, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
Solve: |-3x + -7| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Solve: |-4x + -6| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-7x + -3| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 1 |
Solve for x: 5x + -9 = 36 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Solve for x: -9x + 4 = -68 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve for x: -11x + 12 = 23 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
Solve: -9x + 13 > -23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 4 |
Simplify: -4x + -4x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x - 5y |
Solve: |2x + -1| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -8x + -2 < -42 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 5 |
Solve for x: 6(x + 4) = 54 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve for x: -4(x + 0) = -52 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: |5x + 5| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 1 |
Solve for x: -1x + 17 = 35 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Simplify: 0x + -4x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 2y |
Solve: 2x + -6 ≥ 10 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 8 |
Solve for x: -3(x + -10) = 39 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Simplify: -1x + -3x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 2y |
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