question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve for x: 6x + 17 = 59 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
Solve for x: -5x + -2 = -22 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 4 |
If each item costs 20 dollars and the total cost is 80, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
Solve: 4x + 15 > 91 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 19 |
What is 48% of 150? | Compute the percent value (integer-safe). | Compute 48/100 × 150. | 72 |
Solve for x: -5x + 29 = 4 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
Solve for x: -1(x + -15) = 14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve for x: 8(x + 12) = 104 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: |-6x + -2| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 2 |
Simplify: -5x + -7x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -12x - 8y |
Solve for x: 1x + 27 = 40 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Simplify: 5x + -4x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 2y |
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 |
Solve: -3x + 5 ≤ 32 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -9 |
Solve for x: -3x + 6 = 45 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -13 |
Solve: -10x + 10 ≤ -70 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 8 |
Solve: |8x + 11| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 6x + -5x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 8y |
If each item costs -8 dollars and the total cost is -144, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
Solve: -6x + 4 < -26 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 5 |
Solve for x: -3(x + 5) = -6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve for x: 7x + 13 = -120 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
Simplify: 1x + 1x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 1y |
Solve: -4x + 2 < -50 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 13 |
What is 77% of 400? | Compute the percent value (integer-safe). | Compute 77/100 × 400. | 308 |
Simplify: -3x + 5x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 3y |
If each item costs -5 dollars and the total cost is 10, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
Solve: |-3x + 10| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 9 |
What is 139% of 800? | Compute the percent value (integer-safe). | Compute 139/100 × 800. | 1112 |
If each item costs 11 dollars and the total cost is -77, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -7 |
If each item costs -2 dollars and the total cost is -14, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
Solve: 4x + 5 > -35 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -10 |
Solve for x: 5(x + 10) = 95 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve: |5x + 8| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 1x + 7x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x - 7y |
Simplify: 4x + 1x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 6y |
Solve for x: -7(x + -12) = 21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
What is 60% of 10? | Compute the percent value (integer-safe). | Compute 60/100 × 10. | 6 |
Simplify: 5x + -5x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6y |
Solve for x: -8(x + 12) = -168 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 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 |
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 |
If each item costs -3 dollars and the total cost is 57, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -19 |
Solve: 3x + 1 < -23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -8 |
Simplify: 5x + 4x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x - 6y |
What is -44% of 0? | Compute the percent value (integer-safe). | Compute -44/100 × 0. | 0 |
Solve for x: -3(x + 3) = -33 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
What is 92% of 125? | Compute the percent value (integer-safe). | Compute 92/100 × 125. | 115 |
Simplify: -5x + -4x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x + 1y |
Solve for x: -3x + -26 = 7 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
If each item costs 16 dollars and the total cost is -160, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -10 |
Solve: 4x + -13 < 55 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 17 |
Solve: |6x + 1| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -5(x + 8) = -45 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve for x: -10x + 19 = -1 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
Solve: |4x + 14| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 63% of 500? | Compute the percent value (integer-safe). | Compute 63/100 × 500. | 315 |
If each item costs 2 dollars and the total cost is 42, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
Simplify: 3x + -1x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 7y |
What is 47% of 900? | Compute the percent value (integer-safe). | Compute 47/100 × 900. | 423 |
Solve: |5x + -9| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve: |7x + 1| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: -4(x + -15) = 4 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
What is 53% of 600? | Compute the percent value (integer-safe). | Compute 53/100 × 600. | 318 |
Solve for x: 3x + 0 = -51 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Simplify: -8x + -8x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -16x - 4y |
Solve: 9x + 9 > 180 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 19 |
Solve: |-8x + -6| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 3x + -22 = 14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
Solve: -5x + 0 ≤ 55 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -11 |
Solve for x: -4(x + 13) = -8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve for x: 3x + 30 = 57 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Solve: |4x + 20| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -8 ≤ x ≤ -2 |
Solve: -6x + 19 < -53 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 12 |
Solve: |6x + 7| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
If each item costs -6 dollars and the total cost is -138, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
What is 55% of 20? | Compute the percent value (integer-safe). | Compute 55/100 × 20. | 11 |
Solve: |1x + 3| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -18 ≤ x ≤ 12 |
Solve for x: -7x + -25 = -88 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
What is 33% of 100? | Compute the percent value (integer-safe). | Compute 33/100 × 100. | 33 |
Solve for x: -2(x + 6) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve: |5x + -8| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -2(x + 14) = -32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
If each item costs 1 dollars and the total cost is 21, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
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 + -4| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -10 ≤ x ≤ 18 |
Solve: |6x + 8| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
Simplify: 3x + 6x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x + 8y |
Solve: |3x + 5| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
Solve: 1x + 0 > -20 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
What is 96% of 175? | Compute the percent value (integer-safe). | Compute 96/100 × 175. | 168 |
Solve: |-7x + 13| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Simplify: 0x + 3x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 7y |
Simplify: -7x + -4x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x - 5y |
Simplify: -7x + 1x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 5y |
Solve: -5x + 13 ≤ -52 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 13 |
Solve: 2x + 13 < 7 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -3 |
What is 35% of 120? | Compute the percent value (integer-safe). | Compute 35/100 × 120. | 42 |
What is 5% of 0? | Compute the percent value (integer-safe). | Compute 5/100 × 0. | 0 |
Solve: |3x + 11| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -2 |
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