question stringlengths 16 86 | problem stringclasses 8 values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: 1x + -19 > -18 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 1 |
What is 148% of 100? | Compute the percent value (integer-safe). | Compute 148/100 × 100. | 148 |
Solve: 4x + -10 > -14 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -1 |
Solve for x: -7(x + -10) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
If each item costs 11 dollars and the total cost is 253, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
If each item costs 5 dollars and the total cost is 90, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
Solve: |1x + -9| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 16, 2 |
Solve: |-1x + 9| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 22 |
Solve for x: 9x + 4 = -5 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
What is -14% of 400? | Compute the percent value (integer-safe). | Compute -14/100 × 400. | -56 |
Solve: |-1x + 14| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 13, 15 |
Solve for x: -4x + -25 = -97 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
Solve for x: 7(x + -6) = -42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
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 |
What is -41% of 700? | Compute the percent value (integer-safe). | Compute -41/100 × 700. | -287 |
If each item costs 2 dollars and the total cost is -26, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
Solve: |6x + -9| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 3 |
Solve for x: 7x + 5 = 131 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
Solve: |7x + 15| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -2 |
If each item costs -7 dollars and the total cost is -91, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
What is 8% of 200? | Compute the percent value (integer-safe). | Compute 8/100 × 200. | 16 |
Solve for x: -7(x + 8) = 7 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
If each item costs -1 dollars and the total cost is -2, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Simplify: -8x + -5x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -13x + 4y |
Solve for x: -7(x + 0) = -98 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
If each item costs 18 dollars and the total cost is 540, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
Solve: |2x + 11| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 3x + -16 ≥ -10 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 2 |
If each item costs -1 dollars and the total cost is -27, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 27 |
Solve: 7x + 7 > 28 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 3 |
Solve: |-2x + 9| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4, 5 |
What is 85% of 160? | Compute the percent value (integer-safe). | Compute 85/100 × 160. | 136 |
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: -2(x + -14) = 12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve for x: 2x + -14 = 12 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Simplify: 0x + -4x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 2y |
Solve: |-1x + -14| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -34 ≤ x ≤ 6 |
Solve for x: 3x + 0 = -45 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Solve for x: 9x + -3 = -174 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
Solve for x: -8(x + -2) = 120 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
What is 91% of 300? | Compute the percent value (integer-safe). | Compute 91/100 × 300. | 273 |
If each item costs 14 dollars and the total cost is 182, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
What is -4% of 75? | Compute the percent value (integer-safe). | Compute -4/100 × 75. | -3 |
What is 73% of 200? | Compute the percent value (integer-safe). | Compute 73/100 × 200. | 146 |
Solve: -7x + -16 ≤ 61 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -11 |
Solve for x: -7(x + -15) = 133 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve for x: 4x + -24 = -88 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
If each item costs 19 dollars and the total cost is 57, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 3 |
What is -8% of 175? | Compute the percent value (integer-safe). | Compute -8/100 × 175. | -14 |
Solve: 5x + 15 ≤ 80 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 13 |
If each item costs -6 dollars and the total cost is -180, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
If each item costs -5 dollars and the total cost is -100, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
Solve: |-5x + -12| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve for x: 2(x + 14) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
What is -38% of 200? | Compute the percent value (integer-safe). | Compute -38/100 × 200. | -76 |
Solve: |-7x + 14| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 4 |
Solve: |6x + -9| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 2 |
Solve for x: 4x + 0 = 4 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Solve for x: 9x + 27 = 18 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
Solve: |7x + -16| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 3 |
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. | 8 |
What is 4% of 225? | Compute the percent value (integer-safe). | Compute 4/100 × 225. | 9 |
Simplify: -4x + 6x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 6y |
Solve for x: 9x + 10 = -170 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
Solve for x: 7(x + -5) = -133 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve for x: 9x + -16 = -178 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
What is -40% of 5? | Compute the percent value (integer-safe). | Compute -40/100 × 5. | -2 |
Simplify: -3x + 7x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 1y |
Solve: |5x + -6| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -10x + -18 ≥ -48 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 3 |
If each item costs 5 dollars and the total cost is -45, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Solve for x: -5x + 5 = 0 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Solve: |-6x + 0| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve for x: 5(x + -3) = 25 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve: |5x + 14| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
Solve: |-8x + 5| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
What is 79% of 700? | Compute the percent value (integer-safe). | Compute 79/100 × 700. | 553 |
Solve for x: -5(x + 15) = -100 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve: |3x + -6| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -10x + -12 = 28 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve for x: -4x + -24 = -96 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
Solve: |5x + 3| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -8x + -4x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -12x - 6y |
Solve: 4x + -7 < -55 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -12 |
Solve for x: 9x + -9 = -108 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
If each item costs 13 dollars and the total cost is -117, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
What is 116% of 100? | Compute the percent value (integer-safe). | Compute 116/100 × 100. | 116 |
Solve: -5x + 8 ≥ -32 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 8 |
Solve for x: 6(x + 14) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve for x: -4(x + 15) = -36 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Simplify: 6x + -3x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 3y |
Solve for x: 3x + -29 = -56 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
Solve for x: 6(x + 3) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: |5x + 6| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 87% of 0? | Compute the percent value (integer-safe). | Compute 87/100 × 0. | 0 |
Solve for x: -7x + -1 = -29 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 4 |
If each item costs 17 dollars and the total cost is 34, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve for x: 12x + -16 = 32 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 4 |
Solve: 8x + 19 ≤ 171 | 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 84, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
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