question stringlengths 17 74 | reasoning stringlengths 12 87 | answer stringlengths 1 42 | topic stringclasses 13
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Simplify the fraction 28/8. | gcd(28, 8) = 4. Dividing gives 7/2. | 7/2 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 42 m to cm. | 1 m = 100 cm, so 42 m = 42 × 100 = 4200 cm. | 4200 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 4x + 2 = -18. | Subtract +2 from both sides: 4x = -20. Divide by 4: x = -5. | -5 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Maria buys 13 mangoes at 18 rupees each. How much does Maria pay in total? | Total = 13 × 18 = 234 rupees. | 234 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 12 + 8 × 4 using the order of operations. | Multiply first: 8 × 4 = 32. Then add: 12 + 32 = 44. | 44 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 54 and 23. | GCD(54, 23) = 1. LCM = (54 × 23) / GCD = 1242/1 = 1242. | GCD 1, LCM 1242 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 15 and 49. | GCD(15, 49) = 1. LCM = (15 × 49) / GCD = 735/1 = 735. | GCD 1, LCM 735 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 4 + 14 × 19 using the order of operations. | Multiply first: 14 × 19 = 266. Then add: 4 + 266 = 270. | 270 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 77, 85, 34. | Sum = 196, count = 3. Mean = 196/3 = 65.33. | 65.33 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 71, 32, 59, 13, 43. | Sum = 218, count = 5. Mean = 218/5 = 43.6. | 43.6 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 36, 66, 49. | Sum = 151, count = 3. Mean = 151/3 = 50.33. | 50.33 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 78 * 87. | 78 * 87 = 6786. | 6786 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 7 raised to the power 4 (7^4). | 7^4 = 7 × 7 × 7 × 7 = 2401. | 2401 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 935 - 224. | 935 - 224 = 711. | 711 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 36 in the ratio 1:1. | Total parts = 1 + 1 = 2. Each part = 36/2 = 18. Shares = 18 and 18. | 18 and 18 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 5, 20, 80, 320, ... ? | The pattern is geometric (multiplying by 4), so the next term is 1280. | 1280 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 83 km/h for 9 hours. How far does it go? | Distance = speed × time = 83 × 9 = 747 km. | 747 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 35 and 58. | GCD(35, 58) = 1. LCM = (35 × 58) / GCD = 2030/1 = 2030. | GCD 1, LCM 2030 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 732 - 718. | 732 - 718 = 14. | 14 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 22 and 25. | GCD(22, 25) = 1. LCM = (22 × 25) / GCD = 550/1 = 550. | GCD 1, LCM 550 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 18 + 12 × 9 using the order of operations. | Multiply first: 12 × 9 = 108. Then add: 18 + 108 = 126. | 126 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Sam buys 15 mangoes at 28 rupees each. How much does Sam pay in total? | Total = 15 × 28 = 420 rupees. | 420 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 24 and 44. | GCD(24, 44) = 4. LCM = (24 × 44) / GCD = 1056/4 = 264. | GCD 4, LCM 264 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 25 in the ratio 2:3. | Total parts = 2 + 3 = 5. Each part = 25/5 = 5. Shares = 10 and 15. | 10 and 15 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 9 + 14 × 14 using the order of operations. | Multiply first: 14 × 14 = 196. Then add: 9 + 196 = 205. | 205 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 14 and 16. | GCD(14, 16) = 2. LCM = (14 × 16) / GCD = 224/2 = 112. | GCD 2, LCM 112 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 18/16. | gcd(18, 16) = 2. Dividing gives 9/8. | 9/8 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 4, 7, 10, 13, ... ? | The pattern is arithmetic (adding 3), so the next term is 16. | 16 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Neha buys 6 chairs at 28 rupees each. How much does Neha pay in total? | Total = 6 × 28 = 168 rupees. | 168 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 3 hours to minutes. | 1 hours = 60 minutes, so 3 hours = 3 × 60 = 180 minutes. | 180 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 91 * 5. | 91 * 5 = 455. | 455 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 61 km/h for 9 hours. How far does it go? | Distance = speed × time = 61 × 9 = 549 km. | 549 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 22 km to m. | 1 km = 1000 m, so 22 km = 22 × 1000 = 22000 m. | 22000 m | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 40 km/h for 3 hours. How far does it go? | Distance = speed × time = 40 × 3 = 120 km. | 120 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 5, 92, 57, 11, 4. | Sum = 169, count = 5. Mean = 169/5 = 33.8. | 33.8 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 47 km/h for 2 hours. How far does it go? | Distance = speed × time = 47 × 2 = 94 km. | 94 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 88, 37, 10, 61. | Sum = 196, count = 4. Mean = 196/4 = 49. | 49 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x + 9 = -1. | Subtract +9 from both sides: 2x = -10. Divide by 2: x = -5. | -5 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 59 km/h for 4 hours. How far does it go? | Distance = speed × time = 59 × 4 = 236 km. | 236 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 97 * 60. | 97 * 60 = 5820. | 5820 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 683 - 550. | 683 - 550 = 133. | 133 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 7/6 + 1/5. Give the answer in simplest form. | Common denominator is 30. 7/6 = 35/30, 1/5 = 6/30. Sum = 41/30 = 41/30. | 41/30 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 42 and 10. | GCD(42, 10) = 2. LCM = (42 × 10) / GCD = 420/2 = 210. | GCD 2, LCM 210 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 14 in the ratio 5:2. | Total parts = 5 + 2 = 7. Each part = 14/7 = 2. Shares = 10 and 4. | 10 and 4 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 16 hours to minutes. | 1 hours = 60 minutes, so 16 hours = 16 × 60 = 960 minutes. | 960 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 50% of 320? | 50% of 320 = (50/100) × 320 = 160. | 160 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 85, 76, 95, 22, 4. | Sum = 282, count = 5. Mean = 282/5 = 56.4. | 56.4 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 94, 40, 41, 2, 72, 18. | Sum = 267, count = 6. Mean = 267/6 = 44.5. | 44.5 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 12 + 10 × 5 using the order of operations. | Multiply first: 10 × 5 = 50. Then add: 12 + 50 = 62. | 62 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 80, 71, 25, 37. | Sum = 213, count = 4. Mean = 213/4 = 53.25. | 53.25 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 71, 4, 13, 63, 19. | Sum = 170, count = 5. Mean = 170/5 = 34. | 34 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 8, 30, 27. | Sum = 65, count = 3. Mean = 65/3 = 21.67. | 21.67 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Ravi buys 18 candies at 9 rupees each. How much does Ravi pay in total? | Total = 18 × 9 = 162 rupees. | 162 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 319 + 247. | 319 + 247 = 566. | 566 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Omar buys 13 tickets at 17 rupees each. How much does Omar pay in total? | Total = 13 × 17 = 221 rupees. | 221 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 12 and 31. | GCD(12, 31) = 1. LCM = (12 × 31) / GCD = 372/1 = 372. | GCD 1, LCM 372 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 9/2 + 6/8. Give the answer in simplest form. | Common denominator is 8. 9/2 = 36/8, 6/8 = 6/8. Sum = 42/8 = 21/4. | 21/4 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 10% of 130? | 10% of 130 = (10/100) × 130 = 13. | 13 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 60 in the ratio 2:1. | Total parts = 2 + 1 = 3. Each part = 60/3 = 20. Shares = 40 and 20. | 40 and 20 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 5 kg to g. | 1 kg = 1000 g, so 5 kg = 5 × 1000 = 5000 g. | 5000 g | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 738 - 536. | 738 - 536 = 202. | 202 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 13, 25, 8. | Sum = 46, count = 3. Mean = 46/3 = 15.33. | 15.33 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 9/3 + 1/2. Give the answer in simplest form. | Common denominator is 6. 9/3 = 18/6, 1/2 = 3/6. Sum = 21/6 = 7/2. | 7/2 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Ravi buys 4 candies at 32 rupees each. How much does Ravi pay in total? | Total = 4 × 32 = 128 rupees. | 128 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 48 in the ratio 3:1. | Total parts = 3 + 1 = 4. Each part = 48/4 = 12. Shares = 36 and 12. | 36 and 12 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 4, 94, 22, 89. | Sum = 209, count = 4. Mean = 209/4 = 52.25. | 52.25 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 5/7 + 6/9. Give the answer in simplest form. | Common denominator is 63. 5/7 = 45/63, 6/9 = 42/63. Sum = 87/63 = 29/21. | 29/21 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 10 cm long and 36 cm wide. Find its area and perimeter. | Area = length × width = 10 × 36 = 360 cm². Perimeter = 2 × (10 + 36) = 92 cm. | area 360 cm^2, perimeter 92 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 56/32. | gcd(56, 32) = 8. Dividing gives 7/4. | 7/4 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 9 + 9 × 15 using the order of operations. | Multiply first: 9 × 15 = 135. Then add: 9 + 135 = 144. | 144 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 39 cm long and 25 cm wide. Find its area and perimeter. | Area = length × width = 39 × 25 = 975 cm². Perimeter = 2 × (39 + 25) = 128 cm. | area 975 cm^2, perimeter 128 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 3, 9, 27, 81, ... ? | The pattern is geometric (multiplying by 3), so the next term is 243. | 243 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 1/8 + 7/8. Give the answer in simplest form. | Common denominator is 8. 1/8 = 1/8, 7/8 = 7/8. Sum = 8/8 = 1. | 1 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 72 in the ratio 4:4. | Total parts = 4 + 4 = 8. Each part = 72/8 = 9. Shares = 36 and 36. | 36 and 36 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 80, 3, 19, 51. | Sum = 153, count = 4. Mean = 153/4 = 38.25. | 38.25 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 11, 95, 27, 28. | Sum = 161, count = 4. Mean = 161/4 = 40.25. | 40.25 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 77 km/h for 8 hours. How far does it go? | Distance = speed × time = 77 × 8 = 616 km. | 616 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 75 km/h for 9 hours. How far does it go? | Distance = speed × time = 75 × 9 = 675 km. | 675 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Sam buys 10 apples at 25 rupees each. How much does Sam pay in total? | Total = 10 × 25 = 250 rupees. | 250 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 63 * 98. | 63 * 98 = 6174. | 6174 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
John buys 11 mangoes at 17 rupees each. How much does John pay in total? | Total = 11 × 17 = 187 rupees. | 187 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 89 km/h for 6 hours. How far does it go? | Distance = speed × time = 89 × 6 = 534 km. | 534 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 9, 27, 81, 243, ... ? | The pattern is geometric (multiplying by 3), so the next term is 729. | 729 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 42, 39, 90, 75, 28. | Sum = 274, count = 5. Mean = 274/5 = 54.8. | 54.8 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 10 kg to g. | 1 kg = 1000 g, so 10 kg = 10 × 1000 = 10000 g. | 10000 g | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 75% of 100? | 75% of 100 = (75/100) × 100 = 75. | 75 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 98, 100, 76, 64, 34, 45. | Sum = 417, count = 6. Mean = 417/6 = 69.5. | 69.5 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 876 - 562. | 876 - 562 = 314. | 314 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 11 + 3 × 12 using the order of operations. | Multiply first: 3 × 12 = 36. Then add: 11 + 36 = 47. | 47 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 81 km/h for 9 hours. How far does it go? | Distance = speed × time = 81 × 9 = 729 km. | 729 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 89 km/h for 9 hours. How far does it go? | Distance = speed × time = 89 × 9 = 801 km. | 801 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 7 raised to the power 2 (7^2). | 7^2 = 7 × 7 = 49. | 49 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 14 hours to minutes. | 1 hours = 60 minutes, so 14 hours = 14 × 60 = 840 minutes. | 840 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 3 + 13 × 6 using the order of operations. | Multiply first: 13 × 6 = 78. Then add: 3 + 78 = 81. | 81 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 3/4 + 7/5. Give the answer in simplest form. | Common denominator is 20. 3/4 = 15/20, 7/5 = 28/20. Sum = 43/20 = 43/20. | 43/20 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 10 in the ratio 4:1. | Total parts = 4 + 1 = 5. Each part = 10/5 = 2. Shares = 8 and 2. | 8 and 2 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 50 in the ratio 4:1. | Total parts = 4 + 1 = 5. Each part = 50/5 = 10. Shares = 40 and 10. | 40 and 10 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 60 and 53. | GCD(60, 53) = 1. LCM = (60 × 53) / GCD = 3180/1 = 3180. | GCD 1, LCM 3180 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 1/7 + 3/2. Give the answer in simplest form. | Common denominator is 14. 1/7 = 2/14, 3/2 = 21/14. Sum = 23/14 = 23/14. | 23/14 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x - 10 = 4. | Subtract -10 from both sides: 2x = 14. Divide by 2: x = 7. | 7 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
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