question stringlengths 12 86 | problem stringclasses 10
values | how_to_solve stringlengths 12 82 | answer stringlengths 1 7 |
|---|---|---|---|
Simplify 45/15 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | 3 |
What is -1^4? | Evaluate the integer exponent. | Multiply -1 by itself 4 times (0th power = 1). | 1 |
What is 1^5? | Evaluate the integer exponent. | Multiply 1 by itself 5 times (0th power = 1). | 1 |
Solve: -4x + 0 ≤ -72 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 18 |
Simplify 140/14 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | 10 |
Solve: -2x + 4 < 0 | 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 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 0 |
What is -29 + 196? | Add the two numbers. | Add -29 and 196. | 167 |
What is -5^0? | Evaluate the integer exponent. | Multiply -5 by itself 0 times (0th power = 1). | 1 |
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 |
What is -226 + 212? | Add the two numbers. | Add -226 and 212. | -14 |
Solve for x: 2x + -10 = -16 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve: 5x + -14 < -94 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -16 |
What is 1^2? | Evaluate the integer exponent. | Multiply 1 by itself 2 times (0th power = 1). | 1 |
Solve for x: 4(x + 13) = 112 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
What is -8^5? | Evaluate the integer exponent. | Multiply -8 by itself 5 times (0th power = 1). | -32768 |
What is -560 ÷ -28? | Divide evenly. | Divide -560 by -28. | 20 |
If each item costs 20 dollars and the total cost is -220, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
What is 216 ÷ 12? | Divide evenly. | Divide 216 by 12. | 18 |
What is 122 - 54? | Subtract the second number from the first. | Subtract 54 from 122. | 68 |
What is 129 + 187? | Add the two numbers. | Add 129 and 187. | 316 |
Solve: -1x + -7 ≥ -25 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 18 |
What is -227 - 249? | Subtract the second number from the first. | Subtract 249 from -227. | -476 |
What is -49 × 11? | Multiply the numbers. | Multiply -49 by 11. | -539 |
Solve for x: -7x + -14 = -112 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve for x: 5(x + 3) = 45 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
What is 19 + 223? | Add the two numbers. | Add 19 and 223. | 242 |
What is -83 - 3? | Subtract the second number from the first. | Subtract 3 from -83. | -86 |
What is 1^0? | Evaluate the integer exponent. | Multiply 1 by itself 0 times (0th power = 1). | 1 |
What is -274 - -154? | Subtract the second number from the first. | Subtract -154 from -274. | -120 |
Solve: 8x + 6 ≤ 134 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 16 |
Solve for x: -2(x + -9) = 46 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve for x: 5x + -18 = 32 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Simplify -48/6 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | -8 |
What is -46 × -48? | Multiply the numbers. | Multiply -46 by -48. | 2208 |
What is 8^4? | Evaluate the integer exponent. | Multiply 8 by itself 4 times (0th power = 1). | 4096 |
What is -4^5? | Evaluate the integer exponent. | Multiply -4 by itself 5 times (0th power = 1). | -1024 |
What is 190 + -223? | Add the two numbers. | Add 190 and -223. | -33 |
Solve: -5x + -15 ≤ 40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -11 |
Simplify 0/10 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | 0 |
Solve for x: 3x + 6 = 9 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Simplify -144/12 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | -12 |
Solve for x: 6x + 0 = -102 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Simplify 14/7 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | 2 |
Simplify 45/15 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | 3 |
Solve: -5x + 19 > -46 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 13 |
What is 259 + -23? | Add the two numbers. | Add 259 and -23. | 236 |
Solve for x: -7x + -24 = -164 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 20 |
What is -177 - 84? | Subtract the second number from the first. | Subtract 84 from -177. | -261 |
What is 29 + 145? | Add the two numbers. | Add 29 and 145. | 174 |
If each item costs -5 dollars and the total cost is -10, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
What is 55 × -34? | Multiply the numbers. | Multiply 55 by -34. | -1870 |
Simplify 10/10 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | 1 |
What is 3^3? | Evaluate the integer exponent. | Multiply 3 by itself 3 times (0th power = 1). | 27 |
Solve: 1x + -13 < -9 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 4 |
What is -39 × -41? | Multiply the numbers. | Multiply -39 by -41. | 1599 |
What is -46 × -20? | Multiply the numbers. | Multiply -46 by -20. | 920 |
What is -210 ÷ -30? | Divide evenly. | Divide -210 by -30. | 7 |
What is -6^4? | Evaluate the integer exponent. | Multiply -6 by itself 4 times (0th power = 1). | 1296 |
What is 1^1? | Evaluate the integer exponent. | Multiply 1 by itself 1 times (0th power = 1). | 1 |
If each item costs 8 dollars and the total cost is 16, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Simplify -12/4 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | -3 |
Solve for x: 11x + -30 = -250 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
What is -85 ÷ 5? | Divide evenly. | Divide -85 by 5. | -17 |
Solve for x: 5x + -3 = 12 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
Solve: 2x + 16 ≤ 26 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 5 |
Solve for x: 5(x + -8) = -50 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve: -4x + -16 ≥ 32 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -12 |
Simplify -2/1 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | -2 |
What is -323 ÷ 19? | Divide evenly. | Divide -323 by 19. | -17 |
Solve for x: 5x + -19 = 26 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
If each item costs 20 dollars and the total cost is 260, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
If each item costs 3 dollars and the total cost is 69, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
What is 5^0? | Evaluate the integer exponent. | Multiply 5 by itself 0 times (0th power = 1). | 1 |
What is 23 × 17? | Multiply the numbers. | Multiply 23 by 17. | 391 |
What is -1^2? | Evaluate the integer exponent. | Multiply -1 by itself 2 times (0th power = 1). | 1 |
What is 25 × 55? | Multiply the numbers. | Multiply 25 by 55. | 1375 |
Simplify -70/7 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | -10 |
Solve: -5x + 0 > 5 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -1 |
Solve for x: 5x + -22 = -72 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
Solve: 9x + -20 ≥ 106 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 14 |
What is -247 - 10? | Subtract the second number from the first. | Subtract 10 from -247. | -257 |
What is -212 + -209? | Add the two numbers. | Add -212 and -209. | -421 |
What is -1^4? | Evaluate the integer exponent. | Multiply -1 by itself 4 times (0th power = 1). | 1 |
What is -8^5? | Evaluate the integer exponent. | Multiply -8 by itself 5 times (0th power = 1). | -32768 |
What is -8^4? | Evaluate the integer exponent. | Multiply -8 by itself 4 times (0th power = 1). | 4096 |
If each item costs -8 dollars and the total cost is -200, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 25 |
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. | 18 |
What is 5^3? | Evaluate the integer exponent. | Multiply 5 by itself 3 times (0th power = 1). | 125 |
If each item costs 16 dollars and the total cost is 384, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
Solve: -2x + 16 ≥ -2 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 9 |
Solve for x: 4(x + 4) = 44 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
If each item costs -10 dollars and the total cost is -140, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
Solve for x: 7(x + 6) = -42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
What is -29 ÷ -29? | Divide evenly. | Divide -29 by -29. | 1 |
Solve for x: -6x + 2 = 26 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve for x: 6(x + 13) = 150 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
Solve for x: -4(x + 14) = -32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
What is 43 × 7? | Multiply the numbers. | Multiply 43 by 7. | 301 |
What is -141 + 50? | Add the two numbers. | Add -141 and 50. | -91 |
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