question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is 83% of 1000? | Compute the percent value (integer-safe). | Compute 83/100 × 1000. | 830 |
What is -42% of 250? | Compute the percent value (integer-safe). | Compute -42/100 × 250. | -105 |
Solve for x: -2x + 20 = 6 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
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 |
If each item costs -9 dollars and the total cost is 72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
What is 14% of 200? | Compute the percent value (integer-safe). | Compute 14/100 × 200. | 28 |
Solve for x: -8(x + 15) = -152 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve: -6x + -9 ≥ 63 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -12 |
Simplify: -5x + 1x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 5y |
Solve: |3x + -15| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 9, 1 |
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: |-2x + 15| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -4x + 7x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 5y |
What is 119% of 700? | Compute the percent value (integer-safe). | Compute 119/100 × 700. | 833 |
Solve for x: 9x + -3 = -111 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Simplify: -1x + -3x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 3y |
Solve: 10x + -11 ≤ 119 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 13 |
What is 64% of 0? | Compute the percent value (integer-safe). | Compute 64/100 × 0. | 0 |
Solve: |-5x + -16| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ -3 |
Simplify: 7x + -8x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 1y |
Solve: 7x + -19 > 51 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 10 |
Solve: 9x + 17 ≤ -109 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -14 |
What is 90% of 10? | Compute the percent value (integer-safe). | Compute 90/100 × 10. | 9 |
Simplify: 7x + 4x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 11x - 3y |
Solve: |6x + 12| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-3x + 1| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -6 |
Solve: |1x + -11| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 7 ≤ x ≤ 15 |
Solve for x: 12x + 1 = -143 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve: |-4x + -19| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ -1 |
Solve: 1x + 4 ≥ -8 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -12 |
If each item costs 13 dollars and the total cost is 104, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 8 |
Solve for x: 3x + -16 = 5 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
Simplify: -1x + -6x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x + 8y |
Simplify: -4x + -5x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 8y |
Solve for x: -8x + 30 = -74 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve for x: 12x + 24 = -168 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Solve: |6x + -18| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 5 |
Solve for x: -11x + -15 = 73 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
Solve for x: -1(x + 3) = 11 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve for x: 7(x + 6) = 84 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve: |-7x + 10| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Solve: -10x + -17 < -217 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 20 |
Solve for x: -6(x + 8) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve: |-5x + -19| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -2 |
Solve: 6x + 4 < 10 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 1 |
Solve for x: 11x + -1 = -177 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Solve: |-2x + -2| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ 7 |
Solve: |4x + -12| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 4 |
What is -9% of 200? | Compute the percent value (integer-safe). | Compute -9/100 × 200. | -18 |
Solve for x: -2(x + -13) = -4 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Simplify: -4x + 4x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1y |
What is -23% of 100? | Compute the percent value (integer-safe). | Compute -23/100 × 100. | -23 |
Solve for x: -2(x + -1) = 18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Simplify: -2x + 1x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 4y |
Solve for x: 5x + 0 = 80 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Solve for x: -1(x + 0) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
If each item costs -7 dollars and the total cost is -126, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
Solve for x: -7(x + -6) = 147 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Solve: |6x + -10| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 4 |
Solve: -1x + -8 > 12 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
Solve: 8x + 12 ≤ -84 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -12 |
What is 22% of 450? | Compute the percent value (integer-safe). | Compute 22/100 × 450. | 99 |
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 |
Solve for x: 6(x + -10) = -48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
If each item costs 15 dollars and the total cost is 225, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
If each item costs 6 dollars and the total cost is 90, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
Simplify: 2x + 0x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x |
Solve: |-3x + -3| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 7(x + -2) = 91 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve: |-7x + -8| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 20 dollars and the total cost is -180, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Simplify: 0x + 1x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 2y |
Solve for x: -4(x + 2) = -40 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
What is 125% of 28? | Compute the percent value (integer-safe). | Compute 125/100 × 28. | 35 |
Simplify: 7x + -5x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 3y |
Solve for x: -6(x + -5) = 72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: |6x + -15| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 4x + -4 ≤ -40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -9 |
Solve for x: -8(x + -7) = -16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve for x: -3(x + 1) = 30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
What is 92% of 0? | Compute the percent value (integer-safe). | Compute 92/100 × 0. | 0 |
What is 59% of 1000? | Compute the percent value (integer-safe). | Compute 59/100 × 1000. | 590 |
What is 30% of 70? | Compute the percent value (integer-safe). | Compute 30/100 × 70. | 21 |
Simplify: -4x + 7x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 1y |
Solve: |-6x + -4| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
If each item costs 11 dollars and the total cost is -132, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -12 |
Solve: 3x + 17 < 5 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -4 |
Solve: 7x + -13 ≥ -48 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -5 |
Solve: |-3x + -14| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -7 |
If each item costs -10 dollars and the total cost is 170, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
Simplify: -7x + 5x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 2y |
Solve: |1x + -1| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -17 ≤ x ≤ 19 |
Simplify: 8x + 2x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x + 4y |
Solve: |-7x + 3| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
Solve: |-7x + -18| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
What is 115% of 60? | Compute the percent value (integer-safe). | Compute 115/100 × 60. | 69 |
Solve: 9x + -13 ≤ -94 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -9 |
Solve: |4x + -2| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Simplify: 6x + 0x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 1y |
Solve for x: 3x + -2 = 52 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
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