question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve for x: -3(x + 4) = -57 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve for x: 3x + 14 = 59 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Solve: |1x + 9| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3, -21 |
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 |
Simplify: 7x + 3x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x - 6y |
Solve for x: -4x + -25 = -17 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -2 |
What is 109% of 900? | Compute the percent value (integer-safe). | Compute 109/100 × 900. | 981 |
Solve for x: -11x + -1 = -12 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Simplify: -4x + 5x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 3y |
If each item costs 2 dollars and the total cost is -24, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -12 |
Solve: -10x + -15 < -25 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 1 |
Solve for x: -12x + 16 = -212 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
What is 126% of 200? | Compute the percent value (integer-safe). | Compute 126/100 × 200. | 252 |
Solve for x: 5(x + 2) = -15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Simplify: -1x + -6x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 1y |
Solve for x: -10x + -24 = -24 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve: |3x + -7| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 7 |
Solve: |-6x + 8| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 3 |
Solve for x: -3x + -9 = -12 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Solve for x: -8x + 2 = -134 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Solve for x: -1(x + -15) = 22 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: -5x + 19 ≥ 49 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -6 |
If each item costs 1 dollars and the total cost is 23, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
Simplify: -2x + 4x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 7y |
Solve for x: -12x + -23 = 157 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Simplify: -8x + -2x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -10x + 1y |
What is 129% of 200? | Compute the percent value (integer-safe). | Compute 129/100 × 200. | 258 |
Solve for x: 7(x + 0) = 42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
If each item costs 20 dollars and the total cost is 400, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
Solve for x: -1x + 18 = 28 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
Solve for x: -4(x + 15) = -36 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Solve for x: 3(x + 12) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve: |-4x + 14| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -2x + 2x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 0 |
If each item costs 4 dollars and the total cost is 4, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Solve for x: -8(x + 4) = -72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve for x: -10x + 15 = 205 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
Solve: 8x + -2 < -106 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -13 |
Solve for x: 7(x + 1) = 105 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
What is 17% of 900? | Compute the percent value (integer-safe). | Compute 17/100 × 900. | 153 |
Solve: 5x + -2 > -7 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -1 |
Solve: |-1x + -10| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -18, -2 |
Simplify: -2x + 5x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 3y |
Solve: |1x + 11| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -9, -13 |
Solve: |-8x + -14| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
What is -12% of 125? | Compute the percent value (integer-safe). | Compute -12/100 × 125. | -15 |
Solve for x: 1(x + -8) = -2 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve: |5x + -6| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
What is 5% of 80? | Compute the percent value (integer-safe). | Compute 5/100 × 80. | 4 |
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 |
Solve: |-6x + -4| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Solve for x: 2x + -17 = 7 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
If each item costs 2 dollars and the total cost is 38, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
Solve for x: -6x + 30 = 48 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
If each item costs 6 dollars and the total cost is -78, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
Solve: -3x + -18 ≥ 6 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -8 |
If each item costs 3 dollars and the total cost is 3, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Solve for x: 1(x + -3) = -9 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
If each item costs 15 dollars and the total cost is 285, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
If each item costs 17 dollars and the total cost is 510, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
What is 14% of 50? | Compute the percent value (integer-safe). | Compute 14/100 × 50. | 7 |
What is 147% of 600? | Compute the percent value (integer-safe). | Compute 147/100 × 600. | 882 |
What is 103% of 600? | Compute the percent value (integer-safe). | Compute 103/100 × 600. | 618 |
If each item costs -4 dollars and the total cost is -100, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 25 |
Solve: |-4x + 5| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-2x + 3| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 2 |
Solve: |1x + -12| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 29 |
Simplify: -7x + 0x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x + 4y |
What is 116% of 225? | Compute the percent value (integer-safe). | Compute 116/100 × 225. | 261 |
Simplify: -5x + 4x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 8y |
Solve: |-1x + 20| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 5 ≤ x ≤ 35 |
What is 148% of 0? | Compute the percent value (integer-safe). | Compute 148/100 × 0. | 0 |
Solve: |7x + 4| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -10x + 4 = -186 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
If each item costs 18 dollars and the total cost is 54, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 3 |
Simplify: 2x + 3x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 3y |
What is 147% of 600? | Compute the percent value (integer-safe). | Compute 147/100 × 600. | 882 |
Solve: |-7x + -6| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 1 |
Solve for x: -9x + -6 = 30 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve: 1x + 3 ≥ -7 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -10 |
If each item costs 14 dollars and the total cost is 294, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
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. | -18 |
If each item costs 9 dollars and the total cost is -180, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -20 |
Solve: |6x + 6| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -8x + -27 = 5 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve: |2x + -4| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 11, -7 |
Solve: |-1x + 19| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 5 ≤ x ≤ 33 |
Solve: |4x + -11| = 12 | 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 -34, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
Solve: |-7x + 9| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve: |3x + -20| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 6 ≤ x ≤ 8 |
Solve for x: 7(x + 8) = 77 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Simplify: -6x + -3x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 4y |
Solve: |-8x + -7| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
Solve: |-8x + 5| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve for x: 1x + -2 = 14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Simplify: 4x + -7x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 7y |
If each item costs 5 dollars and the total cost is 25, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 5 |
Simplify: 8x + 6x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 14x + 5y |
If each item costs -10 dollars and the total cost is 130, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
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