question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve for x: 8(x + -3) = -88 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Simplify: 4x + 2x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 4y |
Solve: |-5x + 5| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 1 |
If each item costs 19 dollars and the total cost is 513, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 27 |
Solve for x: 6(x + -6) = -42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve: -1x + -2 < 16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -18 |
If each item costs -10 dollars and the total cost is -140, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
What is 95% of 140? | Compute the percent value (integer-safe). | Compute 95/100 × 140. | 133 |
If each item costs -7 dollars and the total cost is 98, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -14 |
What is 78% of 500? | Compute the percent value (integer-safe). | Compute 78/100 × 500. | 390 |
Solve for x: 4(x + -3) = -28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve: 2x + 14 ≤ 40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 13 |
What is -38% of 350? | Compute the percent value (integer-safe). | Compute -38/100 × 350. | -133 |
Solve for x: 6x + 30 = 144 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
Solve: |-3x + 14| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 7 |
Simplify: -8x + -2x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -10x + 3y |
If each item costs 15 dollars and the total cost is 165, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 11 |
Simplify: -4x + 1x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 8y |
Solve for x: -7(x + 5) = 70 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Solve for x: 11x + -11 = 154 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Solve: |-8x + -5| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -3(x + -12) = 39 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Simplify: -7x + 5x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x |
Solve for x: -2x + -21 = -37 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve: |-7x + -14| = 3 | 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 -2, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -1 |
Solve: -10x + -1 < 9 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -1 |
Solve: |2x + -9| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |3x + 11| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve: |1x + -11| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 19 |
If each item costs 7 dollars and the total cost is -77, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Simplify: 1x + 3x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 4y |
Solve for x: -7x + -25 = -116 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve: -6x + -7 > 23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -5 |
Simplify: 1x + -4x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 7y |
If each item costs -6 dollars and the total cost is 24, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Solve: -2x + -15 ≤ -17 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 1 |
What is -30% of 0? | Compute the percent value (integer-safe). | Compute -30/100 × 0. | 0 |
Solve: 1x + 0 ≥ 9 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 9 |
If each item costs 18 dollars and the total cost is 414, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
Solve: |5x + -4| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve: -10x + 12 ≥ -28 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 4 |
Solve: -3x + -10 < 50 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -20 |
Simplify: 3x + 2x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 2y |
If each item costs 5 dollars and the total cost is 105, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
Solve: -3x + -11 ≥ 4 | 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 -9, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Solve for x: 1x + 30 = 26 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
What is -8% of 0? | Compute the percent value (integer-safe). | Compute -8/100 × 0. | 0 |
Solve: -2x + 3 ≥ -1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 2 |
Solve for x: 3(x + -12) = 3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: 8x + -6 ≥ 138 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 18 |
Solve for x: -3(x + -13) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve for x: 9x + -15 = 75 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Solve for x: -8x + -28 = -76 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve for x: -12x + 30 = 210 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Solve: |6x + -6| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -2(x + 0) = 10 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve: |-1x + 2| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ 11 |
Solve: |-5x + 19| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 7 |
Solve for x: -3(x + -12) = 63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve for x: -8(x + -4) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve: |-5x + -15| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 12x + 30 = 18 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
Solve: |-1x + 6| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -7, 19 |
Solve for x: -12x + 10 = -2 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
What is 148% of 50? | Compute the percent value (integer-safe). | Compute 148/100 × 50. | 74 |
What is 114% of 400? | Compute the percent value (integer-safe). | Compute 114/100 × 400. | 456 |
Solve: 9x + 3 ≤ 120 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 13 |
Solve: |-8x + -11| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -1 |
Solve for x: 5(x + -9) = -30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve: |-8x + 10| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve for x: -6x + 22 = -62 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve for x: -4(x + -10) = -16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
If each item costs -10 dollars and the total cost is 60, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -6 |
Solve: |6x + -4| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Solve: -9x + 10 ≤ 100 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -10 |
Solve for x: -8x + -19 = -11 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
What is 38% of 450? | Compute the percent value (integer-safe). | Compute 38/100 × 450. | 171 |
Solve for x: 4x + -19 = -79 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Solve: 10x + -19 ≥ -139 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -12 |
Solve: 2x + -4 ≥ 34 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 19 |
Simplify: -2x + -3x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x - 3y |
Solve: |-5x + 3| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 4 |
Solve for x: 2(x + 8) = -6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve for x: -2x + 2 = 32 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Solve: -4x + -8 < 52 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -15 |
Solve: |2x + 20| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -18 ≤ x ≤ -2 |
If each item costs 10 dollars and the total cost is 80, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 8 |
Solve: |7x + -11| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 5x + -5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4y |
What is -2% of 250? | Compute the percent value (integer-safe). | Compute -2/100 × 250. | -5 |
What is 40% of 10? | Compute the percent value (integer-safe). | Compute 40/100 × 10. | 4 |
If each item costs 17 dollars and the total cost is 510, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
What is 100% of 9? | Compute the percent value (integer-safe). | Compute 100/100 × 9. | 9 |
Solve: |-6x + 2| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
If each item costs 4 dollars and the total cost is -32, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
What is 110% of 0? | Compute the percent value (integer-safe). | Compute 110/100 × 0. | 0 |
Solve: 1x + 11 > -7 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -18 |
What is -41% of 600? | Compute the percent value (integer-safe). | Compute -41/100 × 600. | -246 |
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