question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is -43% of 100? | Compute the percent value (integer-safe). | Compute -43/100 × 100. | -43 |
Solve for x: -3(x + -7) = -12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: 1x + 5 > -12 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -17 |
Simplify: 1x + 3x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 8y |
If each item costs 2 dollars and the total cost is 44, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve: |7x + 11| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
If each item costs 13 dollars and the total cost is -117, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Solve: |-1x + 19| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 8 ≤ x ≤ 30 |
What is -19% of 500? | Compute the percent value (integer-safe). | Compute -19/100 × 500. | -95 |
Solve: |-4x + -15| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Solve: 6x + 20 > 104 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 14 |
If each item costs 4 dollars and the total cost is -24, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -6 |
Solve: 8x + -16 < 96 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 14 |
Simplify: -1x + 6x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 4y |
Solve: -1x + 0 ≤ -1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 1 |
What is 139% of 700? | Compute the percent value (integer-safe). | Compute 139/100 × 700. | 973 |
Solve: 1x + 11 ≤ 30 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 19 |
If each item costs 19 dollars and the total cost is 38, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve: |-1x + 1| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4, 6 |
What is 124% of 50? | Compute the percent value (integer-safe). | Compute 124/100 × 50. | 62 |
Solve for x: 2x + 4 = 30 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve: -8x + 4 ≤ 108 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -13 |
Solve for x: -4x + -28 = 44 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Solve for x: -6x + -26 = -146 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 20 |
What is -2% of 500? | Compute the percent value (integer-safe). | Compute -2/100 × 500. | -10 |
Solve: |7x + 6| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 4 dollars and the total cost is -8, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
Simplify: -8x + 5x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 5y |
Solve: -5x + 14 < 89 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -15 |
Solve for x: -8x + 14 = -50 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
If each item costs -6 dollars and the total cost is -120, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
Solve for x: 3x + 25 = -29 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Solve: -2x + -15 > -35 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 10 |
Solve: |3x + 11| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -10 ≤ x ≤ 3 |
What is 23% of 1000? | Compute the percent value (integer-safe). | Compute 23/100 × 1000. | 230 |
What is 102% of 50? | Compute the percent value (integer-safe). | Compute 102/100 × 50. | 51 |
Simplify: -5x + -8x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -13x + 3y |
If each item costs 8 dollars and the total cost is 64, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 8 |
What is 90% of 60? | Compute the percent value (integer-safe). | Compute 90/100 × 60. | 54 |
If each item costs -4 dollars and the total cost is 56, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -14 |
Simplify: -1x + 1x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8y |
Simplify: 7x + 6x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 13x + 3y |
Solve: |-3x + -15| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |3x + 7| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 0 |
Solve: |-3x + 4| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 8 |
Solve for x: 8x + -4 = 28 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 4 |
If each item costs 8 dollars and the total cost is -64, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
Solve for x: 1(x + -10) = -3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Simplify: 0x + 2x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 7y |
Solve: |3x + -13| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 8x + -7x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 6y |
Simplify: -6x + -6x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -12x + 6y |
If each item costs 14 dollars and the total cost is -154, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve for x: -10x + -19 = 121 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -14 |
Simplify: -3x + -1x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 1y |
Solve for x: -1x + -8 = 6 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -14 |
Solve: |3x + -14| ≤ 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 + -9 = 111 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
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: -10x + 5 > -85 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 9 |
If each item costs 9 dollars and the total cost is 162, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
Solve: |4x + 17| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -1 |
What is 63% of 200? | Compute the percent value (integer-safe). | Compute 63/100 × 200. | 126 |
What is 37% of 900? | Compute the percent value (integer-safe). | Compute 37/100 × 900. | 333 |
What is 82% of 50? | Compute the percent value (integer-safe). | Compute 82/100 × 50. | 41 |
What is 121% of 400? | Compute the percent value (integer-safe). | Compute 121/100 × 400. | 484 |
If each item costs -10 dollars and the total cost is -190, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
Solve for x: -4(x + 10) = -56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve: |-3x + 11| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Solve for x: 8(x + -11) = -184 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Simplify: -3x + -4x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x |
Solve for x: 7(x + 0) = -77 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Simplify: 5x + -2x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 4y |
Solve for x: -11x + -22 = -121 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
What is 28% of 175? | Compute the percent value (integer-safe). | Compute 28/100 × 175. | 49 |
Solve: 3x + -19 ≥ -55 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -12 |
Solve for x: -3(x + -9) = 63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: |1x + 4| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -10 ≤ x ≤ 2 |
Solve for x: 3x + 26 = 53 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Simplify: 6x + 6x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x + 4y |
Solve for x: 3(x + 0) = 21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve: -5x + 16 ≥ 101 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -17 |
Solve for x: -9x + -30 = 114 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Solve: |6x + 0| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 0 |
Solve: 9x + -6 ≥ 57 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 7 |
Solve: 5x + -12 ≥ -7 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 1 |
Solve: |8x + 5| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 1 |
If each item costs 16 dollars and the total cost is -128, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
Solve: |-2x + -15| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Simplify: -7x + 4x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 2y |
What is -39% of 700? | Compute the percent value (integer-safe). | Compute -39/100 × 700. | -273 |
What is -43% of 800? | Compute the percent value (integer-safe). | Compute -43/100 × 800. | -344 |
What is 81% of 200? | Compute the percent value (integer-safe). | Compute 81/100 × 200. | 162 |
If each item costs 11 dollars and the total cost is -121, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
If each item costs -9 dollars and the total cost is -135, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
Solve: 8x + 6 ≤ -82 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -11 |
What is 101% of 100? | Compute the percent value (integer-safe). | Compute 101/100 × 100. | 101 |
What is 37% of 900? | Compute the percent value (integer-safe). | Compute 37/100 × 900. | 333 |
Solve for x: 7x + -26 = -131 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Simplify: 1x + 4x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 6y |
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