question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
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. | -20 |
Solve: -4x + 18 < -58 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 19 |
Solve: |-1x + 15| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4, 26 |
Solve for x: -3(x + -5) = 18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
What is 141% of 500? | Compute the percent value (integer-safe). | Compute 141/100 × 500. | 705 |
Solve for x: 1(x + -1) = -1 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Solve: |-3x + -3| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 1(x + -4) = -16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Simplify: 7x + 1x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x - 3y |
Simplify: 6x + 8x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 14x - 4y |
Solve for x: -6x + 30 = -72 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Solve for x: -2(x + 3) = -6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
What is -38% of 350? | Compute the percent value (integer-safe). | Compute -38/100 × 350. | -133 |
What is 128% of 250? | Compute the percent value (integer-safe). | Compute 128/100 × 250. | 320 |
Solve: 2x + -14 ≤ -32 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -9 |
What is 9% of 300? | Compute the percent value (integer-safe). | Compute 9/100 × 300. | 27 |
Solve for x: 8x + 10 = -110 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Solve for x: 3(x + 10) = 45 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve: -6x + -15 ≥ -129 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 19 |
Solve: |8x + -13| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 3 |
If each item costs 16 dollars and the total cost is 32, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve: |-6x + 3| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve: |-3x + 10| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |2x + -3| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 7, -4 |
What is 115% of 160? | Compute the percent value (integer-safe). | Compute 115/100 × 160. | 184 |
Simplify: 0x + 5x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 8y |
Simplify: -5x + 0x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x + 7y |
What is 116% of 50? | Compute the percent value (integer-safe). | Compute 116/100 × 50. | 58 |
If each item costs 2 dollars and the total cost is -18, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Solve for x: 7(x + -1) = 91 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve: -5x + 12 ≥ -33 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 9 |
Simplify: -7x + 7x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8y |
What is 130% of 80? | Compute the percent value (integer-safe). | Compute 130/100 × 80. | 104 |
Solve for x: 2x + -3 = 25 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
What is -32% of 75? | Compute the percent value (integer-safe). | Compute -32/100 × 75. | -24 |
If each item costs 9 dollars and the total cost is 171, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
Solve: 2x + 5 ≥ -5 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -5 |
Solve: |-5x + 6| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs -7 dollars and the total cost is 119, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
Solve for x: -11x + 9 = -134 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
What is 32% of 25? | Compute the percent value (integer-safe). | Compute 32/100 × 25. | 8 |
Solve for x: 5(x + -12) = -15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve for x: -4(x + 0) = -44 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve for x: 1(x + -14) = -13 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Simplify: 5x + 4x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x - 4y |
Solve: -3x + 6 > 39 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -11 |
Solve: |4x + -19| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 4 ≤ x ≤ 6 |
If each item costs 14 dollars and the total cost is 182, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
Solve: |-3x + -13| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -1 |
Solve for x: -3x + -12 = -3 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
What is -48% of 50? | Compute the percent value (integer-safe). | Compute -48/100 × 50. | -24 |
Solve: |8x + 1| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
Solve for x: 8(x + -12) = -96 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
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 + 6| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve: |-5x + -7| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 2 |
Solve for x: -3(x + -3) = 18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve for x: -6(x + 11) = -156 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve for x: 9x + 17 = 62 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
Solve for x: -3x + -5 = 4 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve: -10x + 7 ≤ 197 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -19 |
What is 3% of 400? | Compute the percent value (integer-safe). | Compute 3/100 × 400. | 12 |
If each item costs 17 dollars and the total cost is 391, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
Simplify: 4x + -4x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8y |
Solve: |-8x + -1| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 0 |
If each item costs -1 dollars and the total cost is 11, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
What is 10% of 80? | Compute the percent value (integer-safe). | Compute 10/100 × 80. | 8 |
Solve for x: 10x + -6 = -36 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve for x: -6x + -19 = -85 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 11 |
Solve for x: -8(x + -3) = 32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve for x: -5x + 10 = -65 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Simplify: -8x + 4x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 2y |
Solve for x: 4(x + 13) = 60 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve: -7x + 16 > -54 | 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 + -13) = -130 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Simplify: -3x + -7x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -10x + 3y |
Solve: |7x + -1| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 0x + -6x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x + 6y |
Solve: |4x + 12| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -3 |
Solve: |-6x + 0| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
What is 50% of 10? | Compute the percent value (integer-safe). | Compute 50/100 × 10. | 5 |
Solve: |3x + 6| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -2x + 11 ≥ 39 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -14 |
Solve: |2x + 2| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 5(x + 11) = 85 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve for x: -2(x + -7) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
What is 1% of 300? | Compute the percent value (integer-safe). | Compute 1/100 × 300. | 3 |
Solve: |5x + -11| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
What is 123% of 400? | Compute the percent value (integer-safe). | Compute 123/100 × 400. | 492 |
Solve for x: 4(x + 11) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Simplify: -1x + -2x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 7y |
Solve for x: -4x + 13 = 29 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve: -2x + -8 ≥ -48 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 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 |
What is 150% of 2? | Compute the percent value (integer-safe). | Compute 150/100 × 2. | 3 |
Solve for x: -3(x + 13) = -30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
If each item costs -4 dollars and the total cost is -36, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 9 |
If each item costs -7 dollars and the total cost is -28, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
Solve: |-1x + -5| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -20 ≤ x ≤ 10 |
Solve for x: 2x + -22 = -18 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
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