question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Simplify: -8x + 4x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 2y |
Solve: 5x + -16 ≥ -21 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -1 |
Solve: |3x + -11| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
If each item costs -2 dollars and the total cost is -60, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
Solve: -1x + -17 > -12 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -5 |
If each item costs 10 dollars and the total cost is -50, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -5 |
What is 46% of 0? | Compute the percent value (integer-safe). | Compute 46/100 × 0. | 0 |
If each item costs -7 dollars and the total cost is -42, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 6 |
Solve: 5x + -6 ≥ -81 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -15 |
If each item costs 17 dollars and the total cost is 493, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 29 |
Solve for x: 12x + 0 = 192 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
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: |-5x + 6| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 2 |
If each item costs 12 dollars and the total cost is 228, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
Solve for x: -11x + 3 = 179 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Solve: |2x + 7| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ 2 |
Solve: -9x + 14 ≤ 50 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -4 |
If each item costs 19 dollars and the total cost is 19, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
If each item costs 4 dollars and the total cost is 80, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
Simplify: 8x + -1x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x + 6y |
Solve for x: 3(x + -14) = -3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve for x: -1(x + -12) = 9 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
If each item costs 9 dollars and the total cost is -54, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -6 |
Solve for x: -7(x + -3) = 98 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve for x: -8(x + -9) = 88 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve for x: 3(x + 3) = -30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve: |5x + 13| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
Solve: -1x + 2 ≥ 14 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -12 |
Solve: |8x + -9| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 2 |
Solve for x: -6(x + -5) = -42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
If each item costs 8 dollars and the total cost is 144, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
Solve: |-5x + 0| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2, 2 |
Solve: |1x + 1| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 8, -10 |
What is 135% of 20? | Compute the percent value (integer-safe). | Compute 135/100 × 20. | 27 |
Solve: |8x + -18| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
Solve for x: 6x + 19 = 115 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
What is 15% of 160? | Compute the percent value (integer-safe). | Compute 15/100 × 160. | 24 |
If each item costs 17 dollars and the total cost is -51, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
Simplify: 4x + -5x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 3y |
What is 63% of 800? | Compute the percent value (integer-safe). | Compute 63/100 × 800. | 504 |
Simplify: 0x + -7x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 6y |
Solve: |6x + -13| ≤ 4 | 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 + 0) = -32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve for x: 4(x + 10) = -12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
If each item costs 19 dollars and the total cost is 76, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
Solve: |-2x + 11| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 9 |
Simplify: 5x + -1x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 5y |
Solve: |6x + 14| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 0 |
Solve for x: -5(x + 11) = -55 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
What is -18% of 500? | Compute the percent value (integer-safe). | Compute -18/100 × 500. | -90 |
Solve for x: 5(x + 2) = 45 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
If each item costs -3 dollars and the total cost is -48, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 16 |
Solve for x: -2(x + 3) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
If each item costs -4 dollars and the total cost is 60, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -15 |
Solve for x: -1(x + -3) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
What is -1% of 900? | Compute the percent value (integer-safe). | Compute -1/100 × 900. | -9 |
What is 71% of 0? | Compute the percent value (integer-safe). | Compute 71/100 × 0. | 0 |
Solve: |6x + -7| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: -5x + 17 = 67 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
Solve: |-3x + 12| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 9 dollars and the total cost is 108, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
If each item costs 18 dollars and the total cost is 396, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
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 |
Solve: |-5x + 3| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
Solve for x: -11x + 3 = 179 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
What is 130% of 0? | Compute the percent value (integer-safe). | Compute 130/100 × 0. | 0 |
Solve: |2x + -5| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 11 |
Solve for x: -1(x + 8) = -19 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: 10x + 13 < -107 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -12 |
Simplify: -8x + 1x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 8y |
Solve: |-4x + 4| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 2 |
Solve for x: -6(x + -2) = 96 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve for x: 2(x + -14) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve: |-1x + -14| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -30, 2 |
If each item costs 4 dollars and the total cost is -8, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
Solve for x: 1x + -26 = -26 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve for x: -10x + 16 = -64 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve: |5x + -11| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 5x + 3 > -52 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -11 |
Solve: |-4x + -11| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -1 |
Solve: |-5x + 8| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
Solve: |-1x + 1| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -15 ≤ x ≤ 17 |
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 |
Solve for x: 1x + 27 = 35 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve for x: 2(x + 13) = 22 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve for x: -8(x + 3) = -112 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve for x: -10x + 3 = -17 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
If each item costs -5 dollars and the total cost is -80, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 16 |
What is -41% of 600? | Compute the percent value (integer-safe). | Compute -41/100 × 600. | -246 |
Solve for x: 7(x + -6) = -35 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: |1x + 17| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -22 ≤ x ≤ -12 |
Solve for x: 6(x + -2) = -42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
What is 19% of 1000? | Compute the percent value (integer-safe). | Compute 19/100 × 1000. | 190 |
Simplify: -1x + 5x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 1y |
Solve: -8x + 5 ≥ -75 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 10 |
Solve: |-5x + -1| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 3 |
Solve for x: 7x + 14 = 77 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
What is 104% of 225? | Compute the percent value (integer-safe). | Compute 104/100 × 225. | 234 |
Solve: |-1x + 1| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -17 ≤ x ≤ 19 |
Solve for x: 3(x + 10) = 21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
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