question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve for x: -4x + 12 = -12 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
What is -46% of 500? | Compute the percent value (integer-safe). | Compute -46/100 × 500. | -230 |
Solve for x: 5x + 12 = 27 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
If each item costs 2 dollars and the total cost is 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 0 |
What is 36% of 0? | Compute the percent value (integer-safe). | Compute 36/100 × 0. | 0 |
Simplify: 3x + -3x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4y |
Simplify: -8x + 7x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 7y |
Solve: -10x + -13 > 177 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -19 |
Solve for x: -2(x + 2) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
If each item costs 20 dollars and the total cost is 320, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 16 |
If each item costs 13 dollars and the total cost is -13, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -1 |
Solve: 5x + -5 > -25 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -4 |
Simplify: 2x + -4x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 5y |
Solve for x: -8x + 6 = -122 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Solve: -8x + -9 > 23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -4 |
Solve: -2x + -18 > 6 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -12 |
If each item costs -3 dollars and the total cost is -6, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
If each item costs 19 dollars and the total cost is 361, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
Solve: |-7x + 4| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Solve: |-2x + 8| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3, 11 |
Solve: |-6x + -4| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -3x + 6x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x |
Solve: -1x + 14 < -1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 15 |
Solve for x: 4x + 8 = -44 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -13 |
Solve for x: 6(x + -6) = 54 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve: |-4x + 10| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 6 |
If each item costs 17 dollars and the total cost is 68, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
Solve: |-2x + -12| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -5 |
If each item costs -1 dollars and the total cost is -22, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve: |-7x + 3| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -6(x + -4) = 48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve for x: -2x + -26 = -8 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
Simplify: 1x + -2x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 5y |
If each item costs -3 dollars and the total cost is -57, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
Simplify: 3x + 1x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 4y |
Solve: |7x + 8| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Solve: |4x + -10| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 3 |
Solve: -2x + -7 ≥ -29 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 11 |
Solve for x: 4(x + 2) = 56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
Solve for x: -4x + -8 = 8 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
What is -15% of 100? | Compute the percent value (integer-safe). | Compute -15/100 × 100. | -15 |
What is -17% of 300? | Compute the percent value (integer-safe). | Compute -17/100 × 300. | -51 |
Solve for x: -1x + 10 = 27 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Simplify: -3x + 0x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 6y |
Solve for x: -4x + 16 = -20 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Solve: |-5x + -4| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -4x + -8 ≥ -76 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 17 |
Solve: |-2x + -11| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -1(x + -7) = 1 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
What is -31% of 400? | Compute the percent value (integer-safe). | Compute -31/100 × 400. | -124 |
If each item costs 18 dollars and the total cost is -180, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -10 |
Solve: |3x + -10| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Solve for x: 11x + -15 = -59 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve: 6x + -10 ≤ 2 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 2 |
If each item costs 3 dollars and the total cost is 30, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
Simplify: -2x + 2x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1y |
What is 1% of 200? | Compute the percent value (integer-safe). | Compute 1/100 × 200. | 2 |
If each item costs 11 dollars and the total cost is 22, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve for x: -8(x + 12) = -32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
What is -5% of 160? | Compute the percent value (integer-safe). | Compute -5/100 × 160. | -8 |
Solve: |-8x + 10| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
What is 146% of 50? | Compute the percent value (integer-safe). | Compute 146/100 × 50. | 73 |
Solve: |-8x + -16| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -2 |
Simplify: -3x + 8x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 5y |
Solve: -2x + -14 < 24 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -19 |
If each item costs 12 dollars and the total cost is -216, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -18 |
Simplify: -4x + -2x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 3y |
Solve: 8x + -5 ≤ -125 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -15 |
Solve for x: 10x + -2 = -92 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
If each item costs 17 dollars and the total cost is 102, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 6 |
Solve: |7x + 18| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 0 |
Simplify: 0x + -8x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x - 2y |
Simplify: 4x + 3x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x - 3y |
If each item costs 11 dollars and the total cost is -33, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
Solve for x: -5x + -13 = 42 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Solve: -7x + 13 > -127 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 20 |
Simplify: 4x + 3x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x + 8y |
Solve: |1x + 14| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3, -25 |
Solve: 9x + 11 ≤ 92 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 9 |
Solve: |-1x + -15| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -30, 0 |
Solve for x: -9x + 27 = 162 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Simplify: 8x + 4x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x + 5y |
Simplify: 0x + 7x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x - 7y |
Simplify: 1x + 2x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 6y |
Solve for x: -8(x + 5) = -160 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve: |-7x + -5| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -10x + 5 > 175 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -17 |
What is 32% of 100? | Compute the percent value (integer-safe). | Compute 32/100 × 100. | 32 |
Solve: |6x + 13| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -2 |
Solve for x: 8(x + 1) = 80 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve for x: -3x + -19 = -25 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
If each item costs 3 dollars and the total cost is 21, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
Simplify: 0x + -4x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 8y |
If each item costs 10 dollars and the total cost is -10, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -1 |
Solve for x: -5x + 15 = -30 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Solve for x: 8(x + -5) = 8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
What is -28% of 50? | Compute the percent value (integer-safe). | Compute -28/100 × 50. | -14 |
What is -9% of 200? | Compute the percent value (integer-safe). | Compute -9/100 × 200. | -18 |
What is -15% of 0? | Compute the percent value (integer-safe). | Compute -15/100 × 0. | 0 |
Solve: |-2x + -12| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -12 ≤ x ≤ 0 |
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