question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is 75% of 32? | Compute the percent value (integer-safe). | Compute 75/100 × 32. | 24 |
What is 86% of 0? | Compute the percent value (integer-safe). | Compute 86/100 × 0. | 0 |
What is 64% of 250? | Compute the percent value (integer-safe). | Compute 64/100 × 250. | 160 |
Solve for x: 5(x + 2) = 20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve: |-3x + -2| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 5 |
If each item costs 11 dollars and the total cost is -99, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Solve for x: -11x + 14 = 201 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
What is -29% of 900? | Compute the percent value (integer-safe). | Compute -29/100 × 900. | -261 |
If each item costs 5 dollars and the total cost is 120, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
If each item costs -6 dollars and the total cost is 84, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -14 |
Solve: -6x + 13 > 79 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -11 |
Solve: -7x + 0 ≥ -35 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 5 |
Solve for x: 9x + -5 = -77 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
If each item costs 20 dollars and the total cost is 60, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 3 |
Solve for x: 9x + 24 = 150 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
What is 33% of 100? | Compute the percent value (integer-safe). | Compute 33/100 × 100. | 33 |
Solve: |5x + 8| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Simplify: -5x + 0x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x - 8y |
Solve for x: 2(x + 15) = 38 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve: |5x + 13| = 11 | 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 170, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
If each item costs 10 dollars and the total cost is 210, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
Solve: |-4x + 4| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 3x + 10 = 58 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Solve: |-1x + 0| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -7, 7 |
Solve: |5x + 17| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ -1 |
Solve: |-3x + 5| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
Solve: |1x + -1| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 8 |
Solve for x: -1(x + -10) = 23 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
If each item costs 5 dollars and the total cost is -65, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
If each item costs 17 dollars and the total cost is -323, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -19 |
Solve: |2x + -12| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 14, -2 |
Simplify: 2x + -1x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 6y |
Solve: |-3x + 12| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -7(x + 5) = 21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
If each item costs 19 dollars and the total cost is 418, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve: |-5x + -7| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
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 |
Solve for x: 4x + -15 = -11 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Solve for x: 8(x + 14) = 40 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Simplify: 5x + 5x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x + 8y |
Solve: |3x + -6| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 6x + 27 = 63 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve: 5x + 8 ≤ 68 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 12 |
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 |
Solve: -10x + -6 > 24 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -3 |
Simplify: -8x + -4x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -12x - 1y |
Solve: |5x + 19| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ 0 |
Solve: |-7x + 14| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
Solve: |-2x + 4| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2 |
What is -31% of 300? | Compute the percent value (integer-safe). | Compute -31/100 × 300. | -93 |
Simplify: 2x + 0x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 2y |
Solve: |7x + 6| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 15 dollars and the total cost is 360, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
Simplify: -6x + -3x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 4y |
Solve for x: 2(x + 0) = -10 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve for x: 7(x + 10) = -35 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
What is -13% of 0? | Compute the percent value (integer-safe). | Compute -13/100 × 0. | 0 |
Solve for x: 4(x + 8) = 8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Solve for x: -7x + 8 = 148 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
Simplify: -7x + 1x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 4y |
If each item costs -5 dollars and the total cost is -125, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 25 |
Solve: |-2x + 2| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
Solve: 3x + -19 > 23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 14 |
Solve for x: -1x + -9 = -25 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
What is 125% of 36? | Compute the percent value (integer-safe). | Compute 125/100 × 36. | 45 |
Solve for x: -1(x + 0) = 8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
What is 34% of 50? | Compute the percent value (integer-safe). | Compute 34/100 × 50. | 17 |
What is 58% of 300? | Compute the percent value (integer-safe). | Compute 58/100 × 300. | 174 |
Solve: |1x + 19| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -30 ≤ x ≤ -8 |
What is 12% of 25? | Compute the percent value (integer-safe). | Compute 12/100 × 25. | 3 |
Solve: 2x + -7 ≥ -27 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -10 |
Solve for x: -9x + -17 = -35 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
Solve for x: 8(x + 5) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Solve: 1x + -9 ≥ -13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -4 |
If each item costs -4 dollars and the total cost is 52, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
Solve for x: 2(x + 13) = 28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve for x: -7x + 11 = -59 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Solve for x: 1(x + -10) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve for x: -2(x + -14) = 56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Simplify: -3x + 0x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 1y |
Solve for x: 6(x + 15) = 174 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve for x: -4(x + 6) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Solve: |2x + 6| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ 3 |
Simplify: -3x + 8x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 4y |
Simplify: 4x + 3x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x - 3y |
Simplify: 6x + -3x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 3y |
Solve: |-8x + 14| = 12 | 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 20, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
Solve: -6x + 14 ≤ -4 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 3 |
If each item costs -8 dollars and the total cost is -112, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
Solve for x: -6(x + -2) = 12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
What is 88% of 25? | Compute the percent value (integer-safe). | Compute 88/100 × 25. | 22 |
Solve for x: -1(x + -9) = -5 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve for x: 8x + -6 = 82 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 11 |
Solve for x: -8(x + -2) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve: 4x + 8 > -8 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -4 |
Solve for x: -4x + -1 = 59 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
If each item costs 9 dollars and the total cost is 243, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 27 |
Solve for x: -2(x + 9) = -38 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
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