question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is -14% of 350? | Compute the percent value (integer-safe). | Compute -14/100 × 350. | -49 |
Solve: |7x + -4| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 4(x + 4) = 12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve: |4x + -3| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |1x + 2| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 0 |
Simplify: -5x + -6x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 2y |
Solve: |-6x + 2| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Solve: |-4x + -4| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -5, 3 |
Simplify: -2x + -7x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 2y |
Solve: 9x + 1 > -71 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -8 |
Solve for x: 9x + 22 = -140 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
What is 135% of 200? | Compute the percent value (integer-safe). | Compute 135/100 × 200. | 270 |
Solve: |7x + 4| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -2x + 3x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 8y |
If each item costs 11 dollars and the total cost is -176, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
Solve: |-8x + -6| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 0 |
If each item costs -7 dollars and the total cost is 42, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -6 |
What is 119% of 300? | Compute the percent value (integer-safe). | Compute 119/100 × 300. | 357 |
What is -50% of 18? | Compute the percent value (integer-safe). | Compute -50/100 × 18. | -9 |
Solve for x: 5(x + 11) = 70 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve: |2x + -8| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 10 |
Solve: -4x + 12 > -48 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 15 |
Solve for x: -5x + 29 = 44 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve: -5x + 10 < -35 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 9 |
What is -50% of 20? | Compute the percent value (integer-safe). | Compute -50/100 × 20. | -10 |
Solve: -8x + 17 < -111 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 16 |
Solve: |-4x + 6| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 4 |
Solve for x: 1(x + 12) = 7 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
If each item costs 7 dollars and the total cost is -21, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
Simplify: 2x + 7x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x - 2y |
Solve: |1x + 6| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -6 |
Solve for x: 2(x + 1) = -22 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: |-6x + -13| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
Simplify: -3x + -5x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x + 7y |
What is 132% of 225? | Compute the percent value (integer-safe). | Compute 132/100 × 225. | 297 |
Solve for x: 7(x + 2) = 63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve: |-1x + 8| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 4 ≤ x ≤ 12 |
Solve for x: -1x + 24 = 42 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Solve for x: 6(x + 11) = 144 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve for x: 9x + -19 = -64 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
If each item costs 12 dollars and the total cost is -48, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Solve: |8x + 20| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
Simplify: -1x + -6x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x + 1y |
Solve for x: -4x + 4 = 20 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve for x: -9x + -7 = 83 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
Solve: 2x + 5 ≥ 7 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 1 |
Solve: 3x + -1 < 23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 8 |
Solve: |-1x + -15| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -26, -4 |
What is 140% of 5? | Compute the percent value (integer-safe). | Compute 140/100 × 5. | 7 |
Solve for x: -5x + -4 = 96 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
Simplify: 0x + 5x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 5y |
If each item costs 11 dollars and the total cost is -11, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -1 |
What is -7% of 500? | Compute the percent value (integer-safe). | Compute -7/100 × 500. | -35 |
Simplify: -5x + 2x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 8y |
Solve for x: -2(x + 6) = 14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve: -3x + -14 < -59 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 15 |
Solve: |-4x + -20| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -3 |
Simplify: 3x + -6x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 4y |
Solve for x: -11x + -23 = -155 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
What is 98% of 100? | Compute the percent value (integer-safe). | Compute 98/100 × 100. | 98 |
Solve: |7x + 14| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -2 |
What is 55% of 20? | Compute the percent value (integer-safe). | Compute 55/100 × 20. | 11 |
Solve: |-6x + -13| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ -1 |
If each item costs -6 dollars and the total cost is 30, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -5 |
Simplify: 8x + 8x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 16x + 3y |
Solve: -9x + 15 ≥ -138 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 17 |
Solve: |-2x + 3| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 6x + 0 < 84 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 14 |
Solve: |2x + -10| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 12 |
Solve: 5x + 18 ≥ 108 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 18 |
Simplify: -1x + -3x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 4y |
Solve: |-6x + 2| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -4x + 14 = 74 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
If each item costs -6 dollars and the total cost is -72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
Solve: |-5x + 0| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |6x + 7| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
Solve for x: -10x + -24 = 46 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -7 |
What is 145% of 20? | Compute the percent value (integer-safe). | Compute 145/100 × 20. | 29 |
Solve for x: 3(x + -12) = -75 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve for x: -8(x + -7) = 48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: -5x + 17 < -3 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 4 |
If each item costs 6 dollars and the total cost is 102, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
Solve for x: 7(x + -2) = -28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve for x: -6x + 23 = 53 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
Solve: |-4x + -18| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -2 |
Solve for x: 8x + -22 = -22 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve for x: -2x + -26 = -36 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
Simplify: 8x + 8x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 16x - 6y |
If each item costs 15 dollars and the total cost is -120, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
Simplify: 1x + -6x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x + 3y |
Solve: 2x + 16 < -24 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -20 |
Solve for x: 12x + 15 = -117 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
If each item costs 5 dollars and the total cost is -95, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -19 |
What is 19% of 800? | Compute the percent value (integer-safe). | Compute 19/100 × 800. | 152 |
Solve for x: -2x + 23 = 15 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 4 |
Solve: |-5x + -5| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -3x + 2x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x |
Simplify: 3x + -1x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 6y |
Solve for x: 2x + -15 = -35 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
Solve: |6x + -13| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
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