question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve for x: 1(x + -9) = -11 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve for x: -9x + 16 = 25 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
What is 8% of 225? | Compute the percent value (integer-safe). | Compute 8/100 × 225. | 18 |
Solve: |5x + 7| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4 |
Solve for x: 6x + 14 = 80 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 11 |
Solve: |-1x + -20| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -20 ≤ x ≤ -20 |
Simplify: -8x + -5x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -13x + 4y |
Solve: -7x + -10 > -129 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 17 |
If each item costs -5 dollars and the total cost is 60, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -12 |
Solve: |-3x + 0| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |6x + -4| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
What is 67% of 1000? | Compute the percent value (integer-safe). | Compute 67/100 × 1000. | 670 |
Simplify: -3x + -8x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x - 5y |
Solve for x: 3x + 21 = 48 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Simplify: 1x + 4x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 1y |
Solve for x: -10x + -2 = -32 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
Simplify: 1x + -6x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x + 1y |
What is 35% of 20? | Compute the percent value (integer-safe). | Compute 35/100 × 20. | 7 |
What is -17% of 500? | Compute the percent value (integer-safe). | Compute -17/100 × 500. | -85 |
If each item costs 14 dollars and the total cost is 322, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
Simplify: -2x + 0x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 3y |
Solve: |-4x + -19| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: 5(x + 8) = 100 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
Simplify: 2x + 7x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x + 8y |
Solve: |-6x + -10| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -6(x + 3) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
If each item costs -3 dollars and the total cost is -66, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve for x: 6(x + 5) = 36 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: |4x + 9| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 1 |
What is -30% of 0? | Compute the percent value (integer-safe). | Compute -30/100 × 0. | 0 |
If each item costs 18 dollars and the total cost is -72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Solve for x: 4(x + 0) = 32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve: |5x + -11| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -7x + 29 = -13 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve for x: -3(x + -5) = 9 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
What is 65% of 180? | Compute the percent value (integer-safe). | Compute 65/100 × 180. | 117 |
Solve for x: -1(x + 9) = -13 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve for x: -9x + -25 = 2 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve for x: -3x + -24 = -30 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
What is -33% of 800? | Compute the percent value (integer-safe). | Compute -33/100 × 800. | -264 |
If each item costs 16 dollars and the total cost is 192, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
Solve: |1x + 1| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -21 ≤ x ≤ 19 |
Solve: -8x + 18 ≥ -62 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 10 |
Solve: |-4x + -10| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -6, 1 |
Solve: |-5x + 3| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 4 |
What is -2% of 300? | Compute the percent value (integer-safe). | Compute -2/100 × 300. | -6 |
What is 59% of 800? | Compute the percent value (integer-safe). | Compute 59/100 × 800. | 472 |
If each item costs 10 dollars and the total cost is -130, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
Solve for x: 1(x + 4) = -5 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
What is 45% of 160? | Compute the percent value (integer-safe). | Compute 45/100 × 160. | 72 |
Solve: -4x + 8 ≤ 20 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -3 |
Solve for x: 8x + 0 = -8 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
If each item costs 1 dollars and the total cost is -17, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
Solve: |-6x + 11| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
Solve: -9x + -20 ≥ -74 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 6 |
Solve for x: -4x + 27 = 67 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
What is 31% of 300? | Compute the percent value (integer-safe). | Compute 31/100 × 300. | 93 |
Simplify: 7x + -1x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x + 8y |
If each item costs 3 dollars and the total cost is 15, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 5 |
What is 47% of 300? | Compute the percent value (integer-safe). | Compute 47/100 × 300. | 141 |
If each item costs 0 dollars and the total cost is 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 0 |
Solve for x: 9x + 16 = -101 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -13 |
Solve: |2x + -11| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 15 |
Solve: -2x + 20 > 48 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -14 |
Solve: |6x + 12| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 0 |
What is 101% of 400? | Compute the percent value (integer-safe). | Compute 101/100 × 400. | 404 |
Solve: |-1x + -12| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -23, -1 |
Solve: |-4x + 8| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 5 |
If each item costs 0 dollars and the total cost is 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
Solve: -9x + -16 ≤ -52 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 4 |
Solve: |3x + -1| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
Solve for x: -8x + -30 = 66 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
What is 147% of 1000? | Compute the percent value (integer-safe). | Compute 147/100 × 1000. | 1470 |
Solve for x: 5(x + 2) = 65 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: 1x + -3 ≤ -23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -20 |
Solve: -6x + 5 < -85 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 15 |
Solve: |-6x + -12| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 0% of 9? | Compute the percent value (integer-safe). | Compute 0/100 × 9. | 0 |
Solve for x: -9x + -29 = 16 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
Solve: |3x + -20| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 6 ≤ x ≤ 7 |
If each item costs -5 dollars and the total cost is -75, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
If each item costs -8 dollars and the total cost is -8, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Simplify: -4x + 5x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 6y |
What is 13% of 500? | Compute the percent value (integer-safe). | Compute 13/100 × 500. | 65 |
Solve: 6x + -20 < 58 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 13 |
What is 29% of 100? | Compute the percent value (integer-safe). | Compute 29/100 × 100. | 29 |
Solve for x: 8(x + 12) = 176 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Solve: |2x + -13| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 12, 1 |
Solve for x: 8x + -2 = 22 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
What is 77% of 1000? | Compute the percent value (integer-safe). | Compute 77/100 × 1000. | 770 |
Solve for x: -2(x + -10) = 38 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
What is 15% of 120? | Compute the percent value (integer-safe). | Compute 15/100 × 120. | 18 |
Solve for x: -3x + 3 = 9 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -2 |
Solve for x: -5x + -27 = 38 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -13 |
Solve: |3x + 7| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ 2 |
Solve for x: -6x + -3 = 45 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
Solve: |5x + -9| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 4 |
If each item costs -2 dollars and the total cost is -34, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
If each item costs 14 dollars and the total cost is -168, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -12 |
Simplify: -8x + -6x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -14x + 4y |
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