question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Simplify: -6x + -5x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x - 1y |
Solve: |8x + 9| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -7x + -11 < -88 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 11 |
Solve: |-3x + -6| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
Solve: -1x + 4 < -7 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 11 |
Solve for x: 2(x + -6) = -16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
If each item costs 10 dollars and the total cost is -70, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -7 |
Solve: |-2x + -19| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -19 ≤ x ≤ 0 |
Solve for x: 7x + -28 = -154 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Simplify: -3x + -6x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 1y |
Solve for x: -9x + -30 = 6 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve: |-7x + -3| = 7 | 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 26, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
Solve: |5x + 11| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
Solve for x: 12x + 9 = -195 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Solve for x: 2(x + 14) = 22 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Simplify: -6x + -6x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -12x + 2y |
What is 4% of 0? | Compute the percent value (integer-safe). | Compute 4/100 × 0. | 0 |
Simplify: 6x + 0x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x + 4y |
If each item costs 15 dollars and the total cost is -240, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
Solve: |3x + 9| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 3 dollars and the total cost is 78, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
Solve: 10x + -20 > -160 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -14 |
Simplify: -6x + 4x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 2y |
Solve: |-1x + 1| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -8, 10 |
Solve: |-5x + 15| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1, 7 |
Solve: -3x + -10 ≥ -31 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 7 |
Solve: 6x + 20 ≥ -16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -6 |
If each item costs 0 dollars and the total cost is 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
Simplify: -3x + 5x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 2y |
What is 110% of 100? | Compute the percent value (integer-safe). | Compute 110/100 × 100. | 110 |
If each item costs 15 dollars and the total cost is 15, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Solve: 5x + 9 ≤ -41 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -10 |
Solve for x: 2x + -5 = 17 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 11 |
Simplify: -7x + 5x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 2y |
Solve: |4x + 7| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 1x + -3 ≤ 17 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 20 |
What is 138% of 50? | Compute the percent value (integer-safe). | Compute 138/100 × 50. | 69 |
Solve: |6x + -1| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Solve: |-1x + -10| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -25, 5 |
If each item costs -2 dollars and the total cost is -30, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
Solve: |6x + -16| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: 8x + -14 = -14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve: -9x + 6 < -84 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 10 |
Solve: |-5x + -7| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ -1 |
Solve: |-4x + 12| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 5 |
Solve for x: -12x + 3 = 135 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Solve: 3x + -2 ≥ -53 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -17 |
Solve for x: 5x + 27 = -33 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
If each item costs 6 dollars and the total cost is 36, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 6 |
What is 74% of 400? | Compute the percent value (integer-safe). | Compute 74/100 × 400. | 296 |
Simplify: -7x + -6x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -13x + 3y |
Solve for x: -5x + 9 = 29 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
If each item costs 9 dollars and the total cost is 252, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 28 |
Solve for x: 6(x + 14) = 114 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Simplify: 7x + 2x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x - 8y |
Solve: |2x + -2| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 5, -3 |
If each item costs -9 dollars and the total cost is -225, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 25 |
Solve: |8x + -9| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 1 |
Solve: |-7x + -9| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 1 |
Solve: -3x + 16 < -11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 9 |
What is 7% of 700? | Compute the percent value (integer-safe). | Compute 7/100 × 700. | 49 |
Solve: |2x + 8| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -10 ≤ x ≤ 2 |
If each item costs -1 dollars and the total cost is 19, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -19 |
What is -32% of 0? | Compute the percent value (integer-safe). | Compute -32/100 × 0. | 0 |
What is 87% of 300? | Compute the percent value (integer-safe). | Compute 87/100 × 300. | 261 |
Solve: |2x + 18| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -17 ≤ x ≤ -1 |
Simplify: -7x + -7x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -14x + 3y |
Solve: |-4x + -4| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 8x + -7x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 3y |
What is -46% of 350? | Compute the percent value (integer-safe). | Compute -46/100 × 350. | -161 |
Solve: |1x + -6| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -12 ≤ x ≤ 24 |
What is 117% of 1000? | Compute the percent value (integer-safe). | Compute 117/100 × 1000. | 1170 |
Solve for x: -9x + 4 = -158 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
Solve for x: -2(x + -5) = 22 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Solve for x: 2x + 19 = -1 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
What is -11% of 800? | Compute the percent value (integer-safe). | Compute -11/100 × 800. | -88 |
Solve: |-7x + 0| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 2 |
Solve: |-1x + -20| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -34 ≤ x ≤ -6 |
Solve: |8x + 15| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -2 |
Solve for x: 12x + 5 = 173 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve for x: -7(x + -4) = 84 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Solve: |3x + -3| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 2 |
Solve for x: -6x + -24 = 96 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
Simplify: 4x + -4x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6y |
If each item costs -5 dollars and the total cost is -80, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 16 |
If each item costs 18 dollars and the total cost is 252, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
Solve for x: 4(x + -13) = -64 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: |-4x + 5| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 9 dollars and the total cost is -99, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve: |-3x + 5| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 8 |
Solve: -1x + -20 ≥ -33 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 13 |
Solve: |3x + -9| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |4x + -10| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |1x + -14| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 33 |
Solve: |-2x + 1| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 7 |
Solve for x: -3(x + 14) = -48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
What is 2% of 150? | Compute the percent value (integer-safe). | Compute 2/100 × 150. | 3 |
Solve: -7x + 19 ≤ 75 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -8 |
Solve for x: -5(x + 7) = 15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.