question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
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 for x: 1(x + -7) = -16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve: -8x + -18 > -58 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 5 |
What is -21% of 0? | Compute the percent value (integer-safe). | Compute -21/100 × 0. | 0 |
Solve for x: 5(x + 9) = -15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
What is -12% of 225? | Compute the percent value (integer-safe). | Compute -12/100 × 225. | -27 |
What is 105% of 200? | Compute the percent value (integer-safe). | Compute 105/100 × 200. | 210 |
Solve for x: -2x + 6 = -18 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
If each item costs 2 dollars and the total cost is 24, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
Solve: |-3x + 15| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -11x + 24 = -185 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
Solve for x: 6(x + 0) = -84 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Simplify: -6x + 4x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 1y |
What is 77% of 300? | Compute the percent value (integer-safe). | Compute 77/100 × 300. | 231 |
Solve: 6x + -13 < -127 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -19 |
If each item costs 12 dollars and the total cost is 180, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
Solve: -1x + -1 < -21 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 20 |
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 |
Solve: |-7x + -14| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -5x + 24 = 34 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -2 |
Solve: -3x + 12 > 42 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -10 |
What is 34% of 350? | Compute the percent value (integer-safe). | Compute 34/100 × 350. | 119 |
What is 90% of 40? | Compute the percent value (integer-safe). | Compute 90/100 × 40. | 36 |
Solve for x: 7x + 4 = 74 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Solve: 1x + -19 > -16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 3 |
Solve: -9x + -14 < -77 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 7 |
What is 65% of 140? | Compute the percent value (integer-safe). | Compute 65/100 × 140. | 91 |
What is 74% of 200? | Compute the percent value (integer-safe). | Compute 74/100 × 200. | 148 |
Solve: -5x + -1 ≤ -81 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 16 |
Solve for x: 5x + 0 = -50 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
What is 2% of 450? | Compute the percent value (integer-safe). | Compute 2/100 × 450. | 9 |
Solve: -9x + 8 ≤ 98 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -10 |
Solve: |6x + 18| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -3 |
If each item costs 10 dollars and the total cost is 200, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
Solve: 9x + -5 ≤ 121 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 14 |
Solve: |5x + -3| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
If each item costs 18 dollars and the total cost is 162, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 9 |
Solve: |-1x + -16| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -21 ≤ x ≤ -11 |
Solve: |-1x + -2| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -2 |
Simplify: -1x + 7x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 1y |
If each item costs -1 dollars and the total cost is 3, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
Solve for x: -8(x + 15) = -176 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Simplify: -4x + -4x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x - 2y |
Solve: |2x + 3| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 3 |
Solve for x: -6(x + 7) = -126 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve for x: -8x + 23 = 39 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -2 |
Solve for x: 4x + 28 = 92 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Solve: |6x + -9| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 2 |
Simplify: 8x + -3x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 8y |
If each item costs 13 dollars and the total cost is 338, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
Solve: 10x + -18 > 32 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 5 |
What is -18% of 500? | Compute the percent value (integer-safe). | Compute -18/100 × 500. | -90 |
Solve for x: -2x + -8 = 28 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
What is 29% of 0? | Compute the percent value (integer-safe). | Compute 29/100 × 0. | 0 |
Solve for x: -2x + 25 = 7 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
If each item costs -7 dollars and the total cost is -105, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
What is 119% of 200? | Compute the percent value (integer-safe). | Compute 119/100 × 200. | 238 |
Solve for x: 1x + -25 = -43 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
What is 69% of 500? | Compute the percent value (integer-safe). | Compute 69/100 × 500. | 345 |
Solve for x: 6x + -2 = 88 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
If each item costs 11 dollars and the total cost is 242, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve: 8x + 8 > -152 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
What is 124% of 175? | Compute the percent value (integer-safe). | Compute 124/100 × 175. | 217 |
Solve: |6x + 4| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 2 |
Solve: 10x + 18 ≤ -132 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -15 |
Solve for x: 5x + -10 = -15 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
What is 63% of 800? | Compute the percent value (integer-safe). | Compute 63/100 × 800. | 504 |
Simplify: 1x + 4x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 1y |
Solve for x: -9x + 20 = 173 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Simplify: 8x + -7x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 2y |
What is -14% of 450? | Compute the percent value (integer-safe). | Compute -14/100 × 450. | -63 |
Solve for x: 3x + -19 = -55 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve: 8x + 3 > 163 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 20 |
What is 19% of 600? | Compute the percent value (integer-safe). | Compute 19/100 × 600. | 114 |
Solve: |-6x + -1| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 1 |
What is 27% of 800? | Compute the percent value (integer-safe). | Compute 27/100 × 800. | 216 |
What is 88% of 150? | Compute the percent value (integer-safe). | Compute 88/100 × 150. | 132 |
Solve for x: 9x + 20 = 164 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Solve for x: 1(x + 5) = -8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve: |-3x + -8| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2 |
Simplify: -5x + 8x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 2y |
Solve: -3x + -6 ≤ 45 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -17 |
Solve for x: 7(x + 10) = 49 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: |7x + -5| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |5x + 18| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: -12x + 23 = -157 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Solve for x: -4(x + -11) = 44 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
If each item costs 17 dollars and the total cost is 323, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
What is 39% of 200? | Compute the percent value (integer-safe). | Compute 39/100 × 200. | 78 |
What is -15% of 200? | Compute the percent value (integer-safe). | Compute -15/100 × 200. | -30 |
Solve for x: -8x + 1 = -39 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
Solve for x: -4(x + 7) = 12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve: -7x + -20 > -34 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 2 |
What is 41% of 0? | Compute the percent value (integer-safe). | Compute 41/100 × 0. | 0 |
Solve: |1x + 10| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0, -20 |
Solve for x: -3x + -21 = -60 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve: |2x + -5| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 6 |
Simplify: 3x + -3x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1y |
What is -44% of 175? | Compute the percent value (integer-safe). | Compute -44/100 × 175. | -77 |
Solve for x: -10x + -20 = -220 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 20 |
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