question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve for x: 6(x + 6) = -6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Simplify: -3x + 8x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 6y |
Solve: -1x + 15 < 30 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -15 |
Solve: |-7x + 10| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs -6 dollars and the total cost is -78, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
What is -46% of 100? | Compute the percent value (integer-safe). | Compute -46/100 × 100. | -46 |
Simplify: 2x + -2x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5y |
Simplify: -7x + 1x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 8y |
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 for x: -2(x + 2) = -4 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Solve: 10x + 14 < -86 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -10 |
Solve: |4x + -10| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 3 |
Solve: |5x + 15| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 5x + 2x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x + 7y |
Solve: |-8x + -12| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 8x + 5 = 157 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
Solve: |6x + -20| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 5 |
What is 125% of 16? | Compute the percent value (integer-safe). | Compute 125/100 × 16. | 20 |
Solve: |-2x + 3| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -2x + 1 = 37 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Solve: |5x + 9| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve: |-3x + 1| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4 |
Solve: 1x + -11 < -22 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -11 |
Solve: |7x + 14| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
Solve for x: -1(x + 12) = -17 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve for x: 10x + 3 = -107 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Solve: -7x + -4 ≥ -46 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 6 |
Solve: -3x + 10 < 46 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -12 |
Simplify: 1x + 0x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 5y |
Simplify: 7x + -7x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5y |
Solve: |-6x + 15| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0, 5 |
Solve: -10x + 11 ≤ -109 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 12 |
Solve: |-6x + 9| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 4 |
Solve for x: 3(x + 1) = 27 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve for x: 4(x + 2) = 68 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
What is -10% of 70? | Compute the percent value (integer-safe). | Compute -10/100 × 70. | -7 |
Solve for x: 6x + -7 = -25 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve: |-1x + -15| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -31, 1 |
If each item costs 3 dollars and the total cost is -24, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
Solve for x: 12x + 8 = -208 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Solve: |2x + -5| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 3 |
Solve: |3x + 13| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -10 ≤ x ≤ 1 |
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: |-3x + -18| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -5 |
What is 146% of 50? | Compute the percent value (integer-safe). | Compute 146/100 × 50. | 73 |
What is 27% of 800? | Compute the percent value (integer-safe). | Compute 27/100 × 800. | 216 |
Solve: |-3x + -18| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ -6 |
Solve: |-8x + 3| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve for x: 7(x + 5) = 35 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
What is -44% of 100? | Compute the percent value (integer-safe). | Compute -44/100 × 100. | -44 |
Solve: |7x + 7| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 105% of 140? | Compute the percent value (integer-safe). | Compute 105/100 × 140. | 147 |
Solve for x: 3(x + -10) = -57 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve for x: 8(x + 3) = 72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve: |-6x + -1| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 0 |
Solve for x: 10x + 10 = -90 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
If each item costs 14 dollars and the total cost is -210, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -15 |
Solve: |2x + 3| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
Solve: |8x + -2| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
Solve for x: -4(x + 6) = 36 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Simplify: -3x + -8x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 6y |
Solve: -4x + 17 < -35 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 13 |
What is 86% of 150? | Compute the percent value (integer-safe). | Compute 86/100 × 150. | 129 |
If each item costs -9 dollars and the total cost is -117, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
What is -37% of 600? | Compute the percent value (integer-safe). | Compute -37/100 × 600. | -222 |
Simplify: 5x + -1x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 4y |
If each item costs 2 dollars and the total cost is 4, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve: |-3x + -17| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -4 |
If each item costs 18 dollars and the total cost is 126, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
Solve: -5x + 19 > 29 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -2 |
Solve: -3x + -18 < -45 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 9 |
What is 90% of 30? | Compute the percent value (integer-safe). | Compute 90/100 × 30. | 27 |
Solve: |-1x + 15| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 8, 22 |
Solve for x: -5(x + -1) = -65 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve: -3x + -6 > -36 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 10 |
Solve: |1x + -8| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -12 ≤ x ≤ 28 |
Solve for x: -11x + 9 = 185 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Solve for x: 1(x + -3) = -18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
What is -28% of 100? | Compute the percent value (integer-safe). | Compute -28/100 × 100. | -28 |
What is 139% of 700? | Compute the percent value (integer-safe). | Compute 139/100 × 700. | 973 |
What is 42% of 200? | Compute the percent value (integer-safe). | Compute 42/100 × 200. | 84 |
Solve: |-7x + 12| = 8 | 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) = 28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
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: 3x + -7x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 2y |
Solve for x: -4(x + 10) = -12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: |3x + 3| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 3 |
Simplify: 8x + -2x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 5y |
What is 17% of 400? | Compute the percent value (integer-safe). | Compute 17/100 × 400. | 68 |
Solve: |-6x + -10| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |5x + -5| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 112% of 75? | Compute the percent value (integer-safe). | Compute 112/100 × 75. | 84 |
What is 106% of 300? | Compute the percent value (integer-safe). | Compute 106/100 × 300. | 318 |
Solve: |-8x + -12| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 4x + -29 = -33 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
Solve: -8x + -18 ≤ -154 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 17 |
What is 137% of 300? | Compute the percent value (integer-safe). | Compute 137/100 × 300. | 411 |
Solve: 3x + 20 > 59 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 13 |
Solve: 4x + 15 ≥ -37 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -13 |
If each item costs -8 dollars and the total cost is -32, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
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