question stringlengths 17 74 | reasoning stringlengths 12 87 | answer stringlengths 1 42 | topic stringclasses 13
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Find the GCD and LCM of 41 and 33. | GCD(41, 33) = 1. LCM = (41 × 33) / GCD = 1353/1 = 1353. | GCD 1, LCM 1353 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 14/63. | gcd(14, 63) = 7. Dividing gives 2/9. | 2/9 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 5% of 140? | 5% of 140 = (5/100) × 140 = 7. | 7 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 220 is increased by 20%. What is the new value? | Change = 20% of 220 = 44. New value = 220 + 44 = 264. | 264 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 34 cm long and 34 cm wide. Find its area and perimeter. | Area = length × width = 34 × 34 = 1156 cm². Perimeter = 2 × (34 + 34) = 136 cm. | area 1156 cm^2, perimeter 136 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 8/7 + 4/3. Give the answer in simplest form. | Common denominator is 21. 8/7 = 24/21, 4/3 = 28/21. Sum = 52/21 = 52/21. | 52/21 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 14 cm long and 34 cm wide. Find its area and perimeter. | Area = length × width = 14 × 34 = 476 cm². Perimeter = 2 × (14 + 34) = 96 cm. | area 476 cm^2, perimeter 96 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Neha buys 18 candies at 6 rupees each. How much does Neha pay in total? | Total = 18 × 6 = 108 rupees. | 108 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 26, 53, 43, 82, 14, 93. | Sum = 311, count = 6. Mean = 311/6 = 51.83. | 51.83 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Ravi buys 20 apples at 25 rupees each. How much does Ravi pay in total? | Total = 20 × 25 = 500 rupees. | 500 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 18 + 17 × 11 using the order of operations. | Multiply first: 17 × 11 = 187. Then add: 18 + 187 = 205. | 205 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 42 in the ratio 5:2. | Total parts = 5 + 2 = 7. Each part = 42/7 = 6. Shares = 30 and 12. | 30 and 12 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 21/18. | gcd(21, 18) = 3. Dividing gives 7/6. | 7/6 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Omar buys 19 mangoes at 4 rupees each. How much does Omar pay in total? | Total = 19 × 4 = 76 rupees. | 76 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 35 and 44. | GCD(35, 44) = 1. LCM = (35 × 44) / GCD = 1540/1 = 1540. | GCD 1, LCM 1540 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 3/9 + 7/1. Give the answer in simplest form. | Common denominator is 9. 3/9 = 3/9, 7/1 = 63/9. Sum = 66/9 = 22/3. | 22/3 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 10% of 110? | 10% of 110 = (10/100) × 110 = 11. | 11 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 12 + 13 × 20 using the order of operations. | Multiply first: 13 × 20 = 260. Then add: 12 + 260 = 272. | 272 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 370 is decreased by 10%. What is the new value? | Change = 10% of 370 = 37. New value = 370 - 37 = 333. | 333 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 19 and 27. | GCD(19, 27) = 1. LCM = (19 × 27) / GCD = 513/1 = 513. | GCD 1, LCM 513 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A circle has radius 11 cm. Find its area and circumference (use π = 3.14). | Area = πr² = 3.14 × 11² = 379.94 cm². Circumference = 2πr = 2 × 3.14 × 11 = 69.08 cm. | area 379.94 cm^2, circumference 69.08 cm | geometry | hard | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 12/18. | gcd(12, 18) = 6. Dividing gives 2/3. | 2/3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 11, 17, 23, 29, ... ? | The pattern is arithmetic (adding 6), so the next term is 35. | 35 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 4x - 7 = 1. | Subtract -7 from both sides: 4x = 8. Divide by 4: x = 2. | 2 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 35, 73, 88. | Sum = 196, count = 3. Mean = 196/3 = 65.33. | 65.33 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 9x + 8 = 71. | Subtract +8 from both sides: 9x = 63. Divide by 9: x = 7. | 7 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 42 in the ratio 5:1. | Total parts = 5 + 1 = 6. Each part = 42/6 = 7. Shares = 35 and 7. | 35 and 7 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 14 and 26. | GCD(14, 26) = 2. LCM = (14 × 26) / GCD = 364/2 = 182. | GCD 2, LCM 182 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 19 + 14 × 8 using the order of operations. | Multiply first: 14 × 8 = 112. Then add: 19 + 112 = 131. | 131 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 82, 32, 55, 81, 46. | Sum = 296, count = 5. Mean = 296/5 = 59.2. | 59.2 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 36 in the ratio 1:3. | Total parts = 1 + 3 = 4. Each part = 36/4 = 9. Shares = 9 and 27. | 9 and 27 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 12/32. | gcd(12, 32) = 4. Dividing gives 3/8. | 3/8 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 9/9 + 4/8. Give the answer in simplest form. | Common denominator is 72. 9/9 = 72/72, 4/8 = 36/72. Sum = 108/72 = 3/2. | 3/2 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 77 in the ratio 4:3. | Total parts = 4 + 3 = 7. Each part = 77/7 = 11. Shares = 44 and 33. | 44 and 33 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 34 km/h for 2 hours. How far does it go? | Distance = speed × time = 34 × 2 = 68 km. | 68 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 82 km/h for 3 hours. How far does it go? | Distance = speed × time = 82 × 3 = 246 km. | 246 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 12, 27, 61, 3. | Sum = 103, count = 4. Mean = 103/4 = 25.75. | 25.75 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 88, 11, 49, 64, 11. | Sum = 223, count = 5. Mean = 223/5 = 44.6. | 44.6 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 50% of 50? | 50% of 50 = (50/100) × 50 = 25. | 25 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 18 in the ratio 2:1. | Total parts = 2 + 1 = 3. Each part = 18/3 = 6. Shares = 12 and 6. | 12 and 6 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 5/4 + 6/4. Give the answer in simplest form. | Common denominator is 4. 5/4 = 5/4, 6/4 = 6/4. Sum = 11/4 = 11/4. | 11/4 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 75% of 170? | 75% of 170 = (75/100) × 170 = 127.5. | 127.5 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 36, 41, 92, 26. | Sum = 195, count = 4. Mean = 195/4 = 48.75. | 48.75 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 180 is increased by 25%. What is the new value? | Change = 25% of 180 = 45. New value = 180 + 45 = 225. | 225 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 7 + 14 × 19 using the order of operations. | Multiply first: 14 × 19 = 266. Then add: 7 + 266 = 273. | 273 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 33, 42, 22, 88, 34. | Sum = 219, count = 5. Mean = 219/5 = 43.8. | 43.8 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 16 cm long and 33 cm wide. Find its area and perimeter. | Area = length × width = 16 × 33 = 528 cm². Perimeter = 2 × (16 + 33) = 98 cm. | area 528 cm^2, perimeter 98 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 7, 11, 15, 19, ... ? | The pattern is arithmetic (adding 4), so the next term is 23. | 23 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 40% of 250? | 40% of 250 = (40/100) × 250 = 100. | 100 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 5 cm long and 40 cm wide. Find its area and perimeter. | Area = length × width = 5 × 40 = 200 cm². Perimeter = 2 × (5 + 40) = 90 cm. | area 200 cm^2, perimeter 90 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 32/24. | gcd(32, 24) = 8. Dividing gives 4/3. | 4/3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 250 is increased by 50%. What is the new value? | Change = 50% of 250 = 125. New value = 250 + 125 = 375. | 375 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 230 is increased by 10%. What is the new value? | Change = 10% of 230 = 23. New value = 230 + 23 = 253. | 253 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 40 and 37. | GCD(40, 37) = 1. LCM = (40 × 37) / GCD = 1480/1 = 1480. | GCD 1, LCM 1480 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 17 and 48. | GCD(17, 48) = 1. LCM = (17 × 48) / GCD = 816/1 = 816. | GCD 1, LCM 816 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 480 is decreased by 25%. What is the new value? | Change = 25% of 480 = 120. New value = 480 - 120 = 360. | 360 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 222 + 66. | 222 + 66 = 288. | 288 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 5/1 + 8/2. Give the answer in simplest form. | Common denominator is 2. 5/1 = 10/2, 8/2 = 8/2. Sum = 18/2 = 9. | 9 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 79, 29, 4, 15, 62. | Sum = 189, count = 5. Mean = 189/5 = 37.8. | 37.8 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 38 hours to minutes. | 1 hours = 60 minutes, so 38 hours = 38 × 60 = 2280 minutes. | 2280 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 4 + 14 × 7 using the order of operations. | Multiply first: 14 × 7 = 98. Then add: 4 + 98 = 102. | 102 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 25, 5, 18, 85. | Sum = 133, count = 4. Mean = 133/4 = 33.25. | 33.25 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 32 cm long and 33 cm wide. Find its area and perimeter. | Area = length × width = 32 × 33 = 1056 cm². Perimeter = 2 × (32 + 33) = 130 cm. | area 1056 cm^2, perimeter 130 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 42 km/h for 8 hours. How far does it go? | Distance = speed × time = 42 × 8 = 336 km. | 336 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 49 and 54. | GCD(49, 54) = 1. LCM = (49 × 54) / GCD = 2646/1 = 2646. | GCD 1, LCM 2646 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 50% of 110? | 50% of 110 = (50/100) × 110 = 55. | 55 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 88, 4, 20. | Sum = 112, count = 3. Mean = 112/3 = 37.33. | 37.33 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 46 km/h for 4 hours. How far does it go? | Distance = speed × time = 46 × 4 = 184 km. | 184 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 35 cm long and 29 cm wide. Find its area and perimeter. | Area = length × width = 35 × 29 = 1015 cm². Perimeter = 2 × (35 + 29) = 128 cm. | area 1015 cm^2, perimeter 128 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 7x - 12 = -61. | Subtract -12 from both sides: 7x = -49. Divide by 7: x = -7. | -7 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 360 is increased by 50%. What is the new value? | Change = 50% of 360 = 180. New value = 360 + 180 = 540. | 540 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 17 cm long and 13 cm wide. Find its area and perimeter. | Area = length × width = 17 × 13 = 221 cm². Perimeter = 2 × (17 + 13) = 60 cm. | area 221 cm^2, perimeter 60 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 290 is decreased by 20%. What is the new value? | Change = 20% of 290 = 58. New value = 290 - 58 = 232. | 232 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 89 km/h for 2 hours. How far does it go? | Distance = speed × time = 89 × 2 = 178 km. | 178 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x - 13 = 11. | Subtract -13 from both sides: 2x = 24. Divide by 2: x = 12. | 12 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 60% of 130? | 60% of 130 = (60/100) × 130 = 78. | 78 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 8x + 7 = 31. | Subtract +7 from both sides: 8x = 24. Divide by 8: x = 3. | 3 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 7/9 + 5/2. Give the answer in simplest form. | Common denominator is 18. 7/9 = 14/18, 5/2 = 45/18. Sum = 59/18 = 59/18. | 59/18 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 48 in the ratio 3:5. | Total parts = 3 + 5 = 8. Each part = 48/8 = 6. Shares = 18 and 30. | 18 and 30 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 29, 90, 100, 20. | Sum = 239, count = 4. Mean = 239/4 = 59.75. | 59.75 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 38, 21, 98, 17, 53. | Sum = 227, count = 5. Mean = 227/5 = 45.4. | 45.4 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Neha buys 8 candies at 20 rupees each. How much does Neha pay in total? | Total = 8 × 20 = 160 rupees. | 160 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 10 + 6 × 3 using the order of operations. | Multiply first: 6 × 3 = 18. Then add: 10 + 18 = 28. | 28 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 460 is decreased by 25%. What is the new value? | Change = 25% of 460 = 115. New value = 460 - 115 = 345. | 345 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 8x - 2 = 62. | Subtract -2 from both sides: 8x = 64. Divide by 8: x = 8. | 8 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 10 + 6 × 13 using the order of operations. | Multiply first: 6 × 13 = 78. Then add: 10 + 78 = 88. | 88 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 25/20. | gcd(25, 20) = 5. Dividing gives 5/4. | 5/4 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 4/3 + 8/2. Give the answer in simplest form. | Common denominator is 6. 4/3 = 8/6, 8/2 = 24/6. Sum = 32/6 = 16/3. | 16/3 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 30 in the ratio 1:2. | Total parts = 1 + 2 = 3. Each part = 30/3 = 10. Shares = 10 and 20. | 10 and 20 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 3x - 9 = 24. | Subtract -9 from both sides: 3x = 33. Divide by 3: x = 11. | 11 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 35/20. | gcd(35, 20) = 5. Dividing gives 7/4. | 7/4 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 14 cm long and 28 cm wide. Find its area and perimeter. | Area = length × width = 14 × 28 = 392 cm². Perimeter = 2 × (14 + 28) = 84 cm. | area 392 cm^2, perimeter 84 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 31 m to cm. | 1 m = 100 cm, so 31 m = 31 × 100 = 3100 cm. | 3100 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 12 cm long and 17 cm wide. Find its area and perimeter. | Area = length × width = 12 × 17 = 204 cm². Perimeter = 2 × (12 + 17) = 58 cm. | area 204 cm^2, perimeter 58 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 79 km/h for 8 hours. How far does it go? | Distance = speed × time = 79 × 8 = 632 km. | 632 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 5, 10, 15, 20, ... ? | The pattern is arithmetic (adding 5), so the next term is 25. | 25 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 40 km/h for 7 hours. How far does it go? | Distance = speed × time = 40 × 7 = 280 km. | 280 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 9 + 8 × 3 using the order of operations. | Multiply first: 8 × 3 = 24. Then add: 9 + 24 = 33. | 33 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 48 in the ratio 2:4. | Total parts = 2 + 4 = 6. Each part = 48/6 = 8. Shares = 16 and 32. | 16 and 32 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 64 in the ratio 1:3. | Total parts = 1 + 3 = 4. Each part = 64/4 = 16. Shares = 16 and 48. | 16 and 48 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
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