question stringlengths 17 74 | reasoning stringlengths 12 87 | answer stringlengths 1 42 | topic stringclasses 13
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Add the fractions 8/6 + 1/1. Give the answer in simplest form. | Common denominator is 6. 8/6 = 8/6, 1/1 = 6/6. Sum = 14/6 = 7/3. | 7/3 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 16 * 77. | 16 * 77 = 1232. | 1232 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 29 cm long and 38 cm wide. Find its area and perimeter. | Area = length × width = 29 × 38 = 1102 cm². Perimeter = 2 × (29 + 38) = 134 cm. | area 1102 cm^2, perimeter 134 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 8x + 5 = 77. | Subtract +5 from both sides: 8x = 72. Divide by 8: x = 9. | 9 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 19 cm long and 35 cm wide. Find its area and perimeter. | Area = length × width = 19 × 35 = 665 cm². Perimeter = 2 × (19 + 35) = 108 cm. | area 665 cm^2, perimeter 108 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 330 is decreased by 25%. What is the new value? | Change = 25% of 330 = 82.5. New value = 330 - 82.5 = 247.5. | 247.5 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 3/9 + 5/5. Give the answer in simplest form. | Common denominator is 45. 3/9 = 15/45, 5/5 = 45/45. Sum = 60/45 = 4/3. | 4/3 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 28 km to m. | 1 km = 1000 m, so 28 km = 28 × 1000 = 28000 m. | 28000 m | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 47 and 57. | GCD(47, 57) = 1. LCM = (47 × 57) / GCD = 2679/1 = 2679. | GCD 1, LCM 2679 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 35/25. | gcd(35, 25) = 5. Dividing gives 7/5. | 7/5 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 470 is decreased by 20%. What is the new value? | Change = 20% of 470 = 94. New value = 470 - 94 = 376. | 376 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 9 raised to the power 3 (9^3). | 9^3 = 9 × 9 × 9 = 729. | 729 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 25% of 130? | 25% of 130 = (25/100) × 130 = 32.5. | 32.5 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 40% of 110? | 40% of 110 = (40/100) × 110 = 44. | 44 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 22 cm long and 15 cm wide. Find its area and perimeter. | Area = length × width = 22 × 15 = 330 cm². Perimeter = 2 × (22 + 15) = 74 cm. | area 330 cm^2, perimeter 74 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 65 km/h for 7 hours. How far does it go? | Distance = speed × time = 65 × 7 = 455 km. | 455 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 20% of 400? | 20% of 400 = (20/100) × 400 = 80. | 80 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 8x - 6 = 82. | Subtract -6 from both sides: 8x = 88. Divide by 8: x = 11. | 11 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
John buys 12 pens at 31 rupees each. How much does John pay in total? | Total = 12 × 31 = 372 rupees. | 372 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 34 cm long and 5 cm wide. Find its area and perimeter. | Area = length × width = 34 × 5 = 170 cm². Perimeter = 2 × (34 + 5) = 78 cm. | area 170 cm^2, perimeter 78 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 290 is decreased by 50%. What is the new value? | Change = 50% of 290 = 145. New value = 290 - 145 = 145. | 145 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 880 - 663. | 880 - 663 = 217. | 217 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 56 and 31. | GCD(56, 31) = 1. LCM = (56 × 31) / GCD = 1736/1 = 1736. | GCD 1, LCM 1736 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 40 m to cm. | 1 m = 100 cm, so 40 m = 40 × 100 = 4000 cm. | 4000 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 2, 6, 18, 54, ... ? | The pattern is geometric (multiplying by 3), so the next term is 162. | 162 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 4x - 11 = -27. | Subtract -11 from both sides: 4x = -16. Divide by 4: x = -4. | -4 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 40 and 52. | GCD(40, 52) = 4. LCM = (40 × 52) / GCD = 2080/4 = 520. | GCD 4, LCM 520 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 30 km/h for 7 hours. How far does it go? | Distance = speed × time = 30 × 7 = 210 km. | 210 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 470 is increased by 20%. What is the new value? | Change = 20% of 470 = 94. New value = 470 + 94 = 564. | 564 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 6x - 1 = 23. | Subtract -1 from both sides: 6x = 24. Divide by 6: x = 4. | 4 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 66, 28, 43. | Sum = 137, count = 3. Mean = 137/3 = 45.67. | 45.67 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 42 hours to minutes. | 1 hours = 60 minutes, so 42 hours = 42 × 60 = 2520 minutes. | 2520 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 18 + 10 × 10 using the order of operations. | Multiply first: 10 × 10 = 100. Then add: 18 + 100 = 118. | 118 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 33 km/h for 2 hours. How far does it go? | Distance = speed × time = 33 × 2 = 66 km. | 66 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 7/3 + 3/8. Give the answer in simplest form. | Common denominator is 24. 7/3 = 56/24, 3/8 = 9/24. Sum = 65/24 = 65/24. | 65/24 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x - 11 = -11. | Subtract -11 from both sides: 2x = 0. Divide by 2: x = 0. | 0 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 60% of 350? | 60% of 350 = (60/100) × 350 = 210. | 210 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 5x + 14 = -11. | Subtract +14 from both sides: 5x = -25. Divide by 5: x = -5. | -5 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Ravi buys 8 apples at 7 rupees each. How much does Ravi pay in total? | Total = 8 × 7 = 56 rupees. | 56 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 52, 58, 98, 82. | Sum = 290, count = 4. Mean = 290/4 = 72.5. | 72.5 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 40/24. | gcd(40, 24) = 8. Dividing gives 5/3. | 5/3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 5/8 + 9/1. Give the answer in simplest form. | Common denominator is 8. 5/8 = 5/8, 9/1 = 72/8. Sum = 77/8 = 77/8. | 77/8 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 3/6 + 6/3. Give the answer in simplest form. | Common denominator is 6. 3/6 = 3/6, 6/3 = 12/6. Sum = 15/6 = 5/2. | 5/2 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 14 + 18 × 6 using the order of operations. | Multiply first: 18 × 6 = 108. Then add: 14 + 108 = 122. | 122 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 27/18. | gcd(27, 18) = 9. Dividing gives 3/2. | 3/2 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 310 is decreased by 20%. What is the new value? | Change = 20% of 310 = 62. New value = 310 - 62 = 248. | 248 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x - 4 = -18. | Subtract -4 from both sides: 2x = -14. Divide by 2: x = -7. | -7 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 14 and 12. | GCD(14, 12) = 2. LCM = (14 × 12) / GCD = 168/2 = 84. | GCD 2, LCM 84 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A circle has radius 13 cm. Find its area and circumference (use π = 3.14). | Area = πr² = 3.14 × 13² = 530.66 cm². Circumference = 2πr = 2 × 3.14 × 13 = 81.64 cm. | area 530.66 cm^2, circumference 81.64 cm | geometry | hard | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 875 + 945. | 875 + 945 = 1820. | 1820 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 5/1 + 6/6. Give the answer in simplest form. | Common denominator is 6. 5/1 = 30/6, 6/6 = 6/6. Sum = 36/6 = 6. | 6 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 28 km/h for 5 hours. How far does it go? | Distance = speed × time = 28 × 5 = 140 km. | 140 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 45 km/h for 9 hours. How far does it go? | Distance = speed × time = 45 × 9 = 405 km. | 405 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 8/4 + 2/6. Give the answer in simplest form. | Common denominator is 12. 8/4 = 24/12, 2/6 = 4/12. Sum = 28/12 = 7/3. | 7/3 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Amit buys 16 chairs at 18 rupees each. How much does Amit pay in total? | Total = 16 × 18 = 288 rupees. | 288 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 39 cm long and 7 cm wide. Find its area and perimeter. | Area = length × width = 39 × 7 = 273 cm². Perimeter = 2 × (39 + 7) = 92 cm. | area 273 cm^2, perimeter 92 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 330 is decreased by 10%. What is the new value? | Change = 10% of 330 = 33. New value = 330 - 33 = 297. | 297 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 15 + 6 × 4 using the order of operations. | Multiply first: 6 × 4 = 24. Then add: 15 + 24 = 39. | 39 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 500 is increased by 50%. What is the new value? | Change = 50% of 500 = 250. New value = 500 + 250 = 750. | 750 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 33 km/h for 6 hours. How far does it go? | Distance = speed × time = 33 × 6 = 198 km. | 198 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 6, 14, 22, 30, ... ? | The pattern is arithmetic (adding 8), so the next term is 38. | 38 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 24 km/h for 3 hours. How far does it go? | Distance = speed × time = 24 × 3 = 72 km. | 72 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 7x + 5 = -23. | Subtract +5 from both sides: 7x = -28. Divide by 7: x = -4. | -4 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 48 km to m. | 1 km = 1000 m, so 48 km = 48 × 1000 = 48000 m. | 48000 m | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 11 raised to the power 3 (11^3). | 11^3 = 11 × 11 × 11 = 1331. | 1331 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 29 * 8. | 29 * 8 = 232. | 232 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 12 cm long and 24 cm wide. Find its area and perimeter. | Area = length × width = 12 × 24 = 288 cm². Perimeter = 2 × (12 + 24) = 72 cm. | area 288 cm^2, perimeter 72 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 36 and 23. | GCD(36, 23) = 1. LCM = (36 × 23) / GCD = 828/1 = 828. | GCD 1, LCM 828 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Ravi buys 16 books at 10 rupees each. How much does Ravi pay in total? | Total = 16 × 10 = 160 rupees. | 160 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 4 cm long and 20 cm wide. Find its area and perimeter. | Area = length × width = 4 × 20 = 80 cm². Perimeter = 2 × (4 + 20) = 48 cm. | area 80 cm^2, perimeter 48 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 16 in the ratio 3:1. | Total parts = 3 + 1 = 4. Each part = 16/4 = 4. Shares = 12 and 4. | 12 and 4 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 73 km/h for 9 hours. How far does it go? | Distance = speed × time = 73 × 9 = 657 km. | 657 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 15 + 7 × 14 using the order of operations. | Multiply first: 7 × 14 = 98. Then add: 15 + 98 = 113. | 113 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 16 kg to g. | 1 kg = 1000 g, so 16 kg = 16 × 1000 = 16000 g. | 16000 g | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 59 and 37. | GCD(59, 37) = 1. LCM = (59 × 37) / GCD = 2183/1 = 2183. | GCD 1, LCM 2183 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 5/6 + 7/6. Give the answer in simplest form. | Common denominator is 6. 5/6 = 5/6, 7/6 = 7/6. Sum = 12/6 = 2. | 2 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 6x + 2 = -34. | Subtract +2 from both sides: 6x = -36. Divide by 6: x = -6. | -6 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 434 + 317. | 434 + 317 = 751. | 751 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 63 in the ratio 4:3. | Total parts = 4 + 3 = 7. Each part = 63/7 = 9. Shares = 36 and 27. | 36 and 27 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 14 kg to g. | 1 kg = 1000 g, so 14 kg = 14 × 1000 = 14000 g. | 14000 g | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 13 and 44. | GCD(13, 44) = 1. LCM = (13 × 44) / GCD = 572/1 = 572. | GCD 1, LCM 572 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 2/7 + 5/4. Give the answer in simplest form. | Common denominator is 28. 2/7 = 8/28, 5/4 = 35/28. Sum = 43/28 = 43/28. | 43/28 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 34 cm long and 20 cm wide. Find its area and perimeter. | Area = length × width = 34 × 20 = 680 cm². Perimeter = 2 × (34 + 20) = 108 cm. | area 680 cm^2, perimeter 108 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 26 cm long and 12 cm wide. Find its area and perimeter. | Area = length × width = 26 × 12 = 312 cm². Perimeter = 2 × (26 + 12) = 76 cm. | area 312 cm^2, perimeter 76 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 736 + 488. | 736 + 488 = 1224. | 1224 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 56 and 6. | GCD(56, 6) = 2. LCM = (56 × 6) / GCD = 336/2 = 168. | GCD 2, LCM 168 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 36, 93, 59, 59, 49, 70. | Sum = 366, count = 6. Mean = 366/6 = 61. | 61 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 8 + 18 × 8 using the order of operations. | Multiply first: 18 × 8 = 144. Then add: 8 + 144 = 152. | 152 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 4/8. | gcd(4, 8) = 4. Dividing gives 1/2. | 1/2 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 60% of 150? | 60% of 150 = (60/100) × 150 = 90. | 90 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 19 cm long and 3 cm wide. Find its area and perimeter. | Area = length × width = 19 × 3 = 57 cm². Perimeter = 2 × (19 + 3) = 44 cm. | area 57 cm^2, perimeter 44 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 7/9 + 5/5. Give the answer in simplest form. | Common denominator is 45. 7/9 = 35/45, 5/5 = 45/45. Sum = 80/45 = 16/9. | 16/9 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 350 is decreased by 20%. What is the new value? | Change = 20% of 350 = 70. New value = 350 - 70 = 280. | 280 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 3/1 + 7/1. Give the answer in simplest form. | Common denominator is 1. 3/1 = 3/1, 7/1 = 7/1. Sum = 10/1 = 10. | 10 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 75% of 130? | 75% of 130 = (75/100) × 130 = 97.5. | 97.5 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 220 is decreased by 25%. What is the new value? | Change = 25% of 220 = 55. New value = 220 - 55 = 165. | 165 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 50 km/h for 5 hours. How far does it go? | Distance = speed × time = 50 × 5 = 250 km. | 250 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 9/5 + 4/4. Give the answer in simplest form. | Common denominator is 20. 9/5 = 36/20, 4/4 = 20/20. Sum = 56/20 = 14/5. | 14/5 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 46 and 23. | GCD(46, 23) = 23. LCM = (46 × 23) / GCD = 1058/23 = 46. | GCD 23, LCM 46 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 180 in the ratio 1:4. | Total parts = 1 + 4 = 5. Each part = 180/5 = 36. Shares = 36 and 144. | 36 and 144 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
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