question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve for x: 8(x + -5) = 72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve: 7x + -19 ≥ -54 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -5 |
What is 149% of 300? | Compute the percent value (integer-safe). | Compute 149/100 × 300. | 447 |
Solve for x: 3(x + -7) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
If each item costs 5 dollars and the total cost is 150, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
Solve: |-5x + 5| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 4 |
What is 31% of 700? | Compute the percent value (integer-safe). | Compute 31/100 × 700. | 217 |
Solve: -5x + 1 < -29 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 6 |
What is 64% of 250? | Compute the percent value (integer-safe). | Compute 64/100 × 250. | 160 |
Solve for x: 7(x + 14) = 56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
What is -5% of 60? | Compute the percent value (integer-safe). | Compute -5/100 × 60. | -3 |
Solve: |-2x + -3| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 116% of 250? | Compute the percent value (integer-safe). | Compute 116/100 × 250. | 290 |
If each item costs 20 dollars and the total cost is -260, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
Simplify: 0x + 2x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 8y |
What is 102% of 400? | Compute the percent value (integer-safe). | Compute 102/100 × 400. | 408 |
Simplify: 8x + -6x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 7y |
If each item costs 9 dollars and the total cost is 261, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 29 |
If each item costs 11 dollars and the total cost is 11, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Solve: |-4x + -20| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ -1 |
Solve for x: 10x + -7 = 133 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve: |-6x + 9| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |4x + -5| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4 |
Solve for x: 3x + -8 = -38 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
Solve for x: 9x + -12 = 96 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
Solve: |6x + 10| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
What is 127% of 500? | Compute the percent value (integer-safe). | Compute 127/100 × 500. | 635 |
Solve: 7x + 11 ≤ -3 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -2 |
Solve: 5x + -2 > -42 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -8 |
Simplify: -2x + -8x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -10x |
Solve for x: 2x + 13 = 33 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Solve for x: -9x + 26 = -145 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
Solve for x: 7(x + 13) = 84 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve: -3x + 3 ≥ 42 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -13 |
Solve for x: -4x + 3 = -53 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve: |-1x + -8| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -16 ≤ x ≤ 0 |
What is 60% of 25? | Compute the percent value (integer-safe). | Compute 60/100 × 25. | 15 |
Solve: -6x + 2 < -70 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 12 |
Simplify: 5x + -3x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 6y |
Solve: 8x + -9 ≥ -65 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -7 |
Solve: -5x + -19 > -109 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 18 |
Simplify: -3x + 2x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x |
If each item costs -1 dollars and the total cost is 18, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -18 |
Solve for x: 5x + 15 = -70 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
If each item costs -7 dollars and the total cost is -49, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
What is -12% of 100? | Compute the percent value (integer-safe). | Compute -12/100 × 100. | -12 |
What is 31% of 200? | Compute the percent value (integer-safe). | Compute 31/100 × 200. | 62 |
Solve: |7x + 10| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
Solve for x: -4(x + 14) = -56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
What is 53% of 900? | Compute the percent value (integer-safe). | Compute 53/100 × 900. | 477 |
Solve for x: -12x + 30 = 138 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
Solve: |-1x + -7| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -19 ≤ x ≤ 5 |
What is 2% of 200? | Compute the percent value (integer-safe). | Compute 2/100 × 200. | 4 |
Solve: |3x + -8| = 18 | 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 24, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
Solve for x: -12x + -19 = -211 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Solve: |7x + 20| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ -2 |
Simplify: 8x + -7x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 4y |
Solve: -5x + -19 ≥ 6 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -5 |
Solve: |-8x + 2| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Solve: |-1x + 1| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -13, 15 |
Solve for x: -8(x + -4) = -64 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
Solve for x: 7x + -5 = -61 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
If each item costs -8 dollars and the total cost is -176, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
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. | 8 |
What is 11% of 600? | Compute the percent value (integer-safe). | Compute 11/100 × 600. | 66 |
What is -9% of 700? | Compute the percent value (integer-safe). | Compute -9/100 × 700. | -63 |
Solve for x: 5(x + 10) = 35 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: 2x + -11 ≥ 27 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 19 |
Solve: |8x + 11| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -1 |
What is 113% of 1000? | Compute the percent value (integer-safe). | Compute 113/100 × 1000. | 1130 |
What is 19% of 1000? | Compute the percent value (integer-safe). | Compute 19/100 × 1000. | 190 |
What is 58% of 0? | Compute the percent value (integer-safe). | Compute 58/100 × 0. | 0 |
If each item costs -4 dollars and the total cost is -84, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
If each item costs 12 dollars and the total cost is 288, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
Solve for x: -8x + -18 = 110 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Solve: |-4x + 8| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
Solve: 3x + -1 < 26 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 9 |
Solve: 2x + 14 ≤ 8 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -3 |
Solve: |-1x + 5| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -8, 18 |
Solve for x: 5(x + 11) = -20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Solve for x: 2(x + -13) = -18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve: |-3x + 15| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 10 dollars and the total cost is 110, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 11 |
Solve: |1x + 10| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -8, -12 |
Solve: 9x + -19 > -118 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -11 |
Solve: |-4x + -12| = 11 | 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 96, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
If each item costs 15 dollars and the total cost is 30, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
If each item costs 3 dollars and the total cost is 36, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
Simplify: -1x + 2x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x |
Simplify: 3x + -5x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 2y |
What is 114% of 400? | Compute the percent value (integer-safe). | Compute 114/100 × 400. | 456 |
Solve for x: 8x + 12 = 68 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
Solve: 4x + -6 ≤ 62 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 17 |
Solve: 1x + -12 ≤ -1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 11 |
Solve: 8x + -4 ≤ -124 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -15 |
Solve for x: 3(x + 13) = 15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Solve: 8x + 18 ≥ -102 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -15 |
Solve: |6x + -10| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
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