question stringlengths 16 86 | problem stringclasses 8 values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
If each item costs -6 dollars and the total cost is -72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
Solve: 5x + -1 ≤ -81 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -16 |
What is 93% of 700? | Compute the percent value (integer-safe). | Compute 93/100 × 700. | 651 |
Solve: |8x + 10| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |7x + -15| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -4(x + 10) = -88 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
If each item costs 13 dollars and the total cost is -143, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve for x: 4x + -17 = -17 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve for x: 3(x + 13) = 33 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve for x: -6(x + -11) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
If each item costs 9 dollars and the total cost is 216, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
Solve: |-2x + -5| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -5(x + -5) = -25 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
What is 22% of 250? | Compute the percent value (integer-safe). | Compute 22/100 × 250. | 55 |
If each item costs -8 dollars and the total cost is -160, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
What is 105% of 120? | Compute the percent value (integer-safe). | Compute 105/100 × 120. | 126 |
Simplify: 1x + -4x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 3y |
Simplify: 1x + -4x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 7y |
Solve: 6x + -7 ≥ 83 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 15 |
Solve for x: -8x + -7 = -143 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Solve: -4x + -12 ≥ -36 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 6 |
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: 7x + 14 ≤ -35 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -7 |
Solve: |-5x + 11| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
Simplify: 1x + 1x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 4y |
What is 147% of 500? | Compute the percent value (integer-safe). | Compute 147/100 × 500. | 735 |
Simplify: -3x + -8x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x - 7y |
Solve: |-8x + -20| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
If each item costs 8 dollars and the total cost is 200, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 25 |
Solve: 5x + 1 ≥ -54 | 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 + -13) = 4 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: |-6x + 14| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
Solve: |5x + 6| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 2 |
What is 127% of 500? | Compute the percent value (integer-safe). | Compute 127/100 × 500. | 635 |
Solve for x: 1x + 26 = 28 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
Solve: |7x + 15| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4 |
If each item costs -2 dollars and the total cost is -52, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
Solve: |-5x + -20| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -3 |
Solve for x: -6(x + 12) = -30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Simplify: 0x + -5x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x - 5y |
Solve for x: 6(x + 7) = -12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
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 |
If each item costs 5 dollars and the total cost is -35, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -7 |
What is 123% of 300? | Compute the percent value (integer-safe). | Compute 123/100 × 300. | 369 |
Solve for x: -9x + 11 = 119 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve: |7x + 10| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -1 |
Solve for x: -7(x + -8) = 126 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
What is 109% of 200? | Compute the percent value (integer-safe). | Compute 109/100 × 200. | 218 |
Simplify: -2x + -2x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 7y |
Simplify: 7x + -3x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 1y |
Simplify: 0x + 5x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x |
Solve for x: 4x + -19 = -55 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
What is -21% of 100? | Compute the percent value (integer-safe). | Compute -21/100 × 100. | -21 |
Simplify: -1x + 2x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x |
If each item costs -4 dollars and the total cost is 40, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -10 |
What is -31% of 600? | Compute the percent value (integer-safe). | Compute -31/100 × 600. | -186 |
If each item costs -1 dollars and the total cost is 10, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -10 |
Solve: |7x + -6| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Simplify: 3x + 4x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x + 5y |
Simplify: 5x + 3x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x - 3y |
Simplify: -7x + 1x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x + 3y |
Solve: |-4x + 9| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 5 |
What is 93% of 100? | Compute the percent value (integer-safe). | Compute 93/100 × 100. | 93 |
If each item costs 16 dollars and the total cost is -272, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
If each item costs -1 dollars and the total cost is 20, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -20 |
Solve: 9x + -14 ≥ 166 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 20 |
Solve: |-8x + 7| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 8(x + -11) = -184 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: |6x + 6| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ -1 |
Solve: |5x + -15| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 5 |
Solve: |2x + -13| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 11 |
Solve for x: -8(x + -11) = 176 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve: -5x + -17 < -62 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 9 |
Solve: |6x + -11| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Solve: -7x + -13 ≤ -13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 0 |
Solve for x: -1x + -21 = -31 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
What is 123% of 900? | Compute the percent value (integer-safe). | Compute 123/100 × 900. | 1107 |
Solve for x: 8(x + 8) = 48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
If each item costs -8 dollars and the total cost is -24, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 3 |
Solve for x: 6(x + -7) = -108 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve for x: 7(x + 13) = 21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve: |4x + 13| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: 1x + 1 = 4 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
What is 145% of 160? | Compute the percent value (integer-safe). | Compute 145/100 × 160. | 232 |
Solve for x: 7x + 8 = -48 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
Solve: -4x + -2 > 14 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -4 |
If each item costs 13 dollars and the total cost is -195, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -15 |
Simplify: -4x + 3x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 6y |
Solve for x: -8x + -18 = -26 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Solve: |1x + -13| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 29 |
Solve: |-2x + 12| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 14 |
Solve: 10x + -13 > -3 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 1 |
Solve: |5x + -2| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
Solve: |-8x + -4| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 0 |
Simplify: -4x + 3x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 4y |
Solve for x: 9x + -7 = -106 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Solve for x: -6x + 17 = -19 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve: -8x + 6 ≥ -42 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 6 |
Solve for x: -4(x + -2) = -32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Solve: |7x + -5| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
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