jyothir/sft-math-tasks · Datasets at Hugging Face

messages listlengths 3 3
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 548 and 813.", "role": "human" }, { "content": "To find the greatest common divisor of 548 and 813, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 669 and 908.", "role": "human" }, { "content": "To find the greatest common divisor of 669 and 908, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 51.", "role": "human" }, { "content": "Let's calculate 20! modulo 51. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 78.", "role": "human" }, { "content": "Let's calculate 20! modulo 78. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 993 and 982.", "role": "human" }, { "content": "To find the greatest common divisor of 993 and 982, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 57.", "role": "human" }, { "content": "Let's calculate 6! modulo 57. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18! modulo 37.", "role": "human" }, { "content": "Let's calculate 18! modulo 37. \n\nFirst, let's break this down:\n\n1) We need to calculate 18! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9^4 modulo 47.", "role": "human" }, { "content": "Let's calculate 9^4 modulo 47. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 827 and 484.", "role": "human" }, { "content": "To find the greatest common divisor of 827 and 484, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11^18 modulo 48.", "role": "human" }, { "content": "Let's calculate 11^18 modulo 48. \n\nTo do this efficiently, we can use the concept of modular expon...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^9 modulo 10.", "role": "human" }, { "content": "Let's calculate 7^9 modulo 10. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16! modulo 65.", "role": "human" }, { "content": "Let's calculate 16! modulo 65. \n\nFirst, let's break this down:\n\n1) We need to calculate 16! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 42.", "role": "human" }, { "content": "Let's calculate 6! modulo 42. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^2 modulo 63.", "role": "human" }, { "content": "Let's calculate 5^2 modulo 63. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 42.", "role": "human" }, { "content": "Let's calculate 20! modulo 42. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 70.", "role": "human" }, { "content": "Let's calculate 6! modulo 70. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 214 and 514.", "role": "human" }, { "content": "To find the greatest common divisor of 214 and 514, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 14! modulo 66.", "role": "human" }, { "content": "Let's calculate 14! modulo 66. \n\nFirst, let's break this down:\n\n1) We need to calculate 14! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 314 and 374.", "role": "human" }, { "content": "To find the greatest common divisor of 314 and 374, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 513 and 309.", "role": "human" }, { "content": "To find the greatest common divisor of 513 and 309, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19^9 modulo 94.", "role": "human" }, { "content": "Let's calculate 19^9 modulo 94. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11^5 modulo 89.", "role": "human" }, { "content": "Let's calculate 11^5 modulo 89. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^3 modulo 100.", "role": "human" }, { "content": "Let's calculate 2^3 modulo 100. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 756 and 158.", "role": "human" }, { "content": "To find the greatest common divisor of 756 and 158, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8^2 modulo 77.", "role": "human" }, { "content": "Let's calculate 8^2 modulo 77. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 14! modulo 6.", "role": "human" }, { "content": "Let's calculate 14! modulo 6. \n\nFirst, let's break this down:\n\n1) We need to calculate 14! (factori...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 565 and 915.", "role": "human" }, { "content": "To find the greatest common divisor of 565 and 915, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 159 and 749.", "role": "human" }, { "content": "To find the greatest common divisor of 159 and 749, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18^1 modulo 100.", "role": "human" }, { "content": "Let's calculate 18^1 modulo 100. \n\nTo do this efficiently, we can use the concept of modular expon...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5! modulo 93.", "role": "human" }, { "content": "Let's calculate 5! modulo 93. \n\nFirst, let's break this down:\n\n1) We need to calculate 5! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^4 modulo 50.", "role": "human" }, { "content": "Let's calculate 5^4 modulo 50. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20^15 modulo 54.", "role": "human" }, { "content": "Let's calculate 20^15 modulo 54. \n\nTo do this efficiently, we can use the concept of modular expon...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15! modulo 59.", "role": "human" }, { "content": "Let's calculate 15! modulo 59. \n\nFirst, let's break this down:\n\n1) We need to calculate 15! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 716 and 226.", "role": "human" }, { "content": "To find the greatest common divisor of 716 and 226, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 220 and 964.", "role": "human" }, { "content": "To find the greatest common divisor of 220 and 964, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 474 and 25.", "role": "human" }, { "content": "To find the greatest common divisor of 474 and 25, we can use the Euclidean alg...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 4^19 modulo 3.", "role": "human" }, { "content": "Let's calculate 4^19 modulo 3. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9! modulo 95.", "role": "human" }, { "content": "Let's calculate 9! modulo 95. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 857 and 619.", "role": "human" }, { "content": "To find the greatest common divisor of 857 and 619, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18^3 modulo 52.", "role": "human" }, { "content": "Let's calculate 18^3 modulo 52. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16! modulo 27.", "role": "human" }, { "content": "Let's calculate 16! modulo 27. \n\nFirst, let's break this down:\n\n1) We need to calculate 16! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11! modulo 53.", "role": "human" }, { "content": "Let's calculate 11! modulo 53. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 443 and 126.", "role": "human" }, { "content": "To find the greatest common divisor of 443 and 126, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^9 modulo 60.", "role": "human" }, { "content": "Let's calculate 1^9 modulo 60. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7! modulo 97.", "role": "human" }, { "content": "Let's calculate 7! modulo 97. \n\nFirst, let's break this down:\n\n1) We need to calculate 7! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9! modulo 20.", "role": "human" }, { "content": "Let's calculate 9! modulo 20. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16^5 modulo 55.", "role": "human" }, { "content": "Let's calculate 16^5 modulo 55. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9^5 modulo 56.", "role": "human" }, { "content": "Let's calculate 9^5 modulo 56. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6^12 modulo 60.", "role": "human" }, { "content": "Let's calculate 6^12 modulo 60. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^1 modulo 2.", "role": "human" }, { "content": "Let's calculate 1^1 modulo 2. \n\nTo do this efficiently, we can use the concept of modular exponentiat...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1! modulo 88.", "role": "human" }, { "content": "Let's calculate 1! modulo 88. \n\nFirst, let's break this down:\n\n1) We need to calculate 1! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 681 and 977.", "role": "human" }, { "content": "To find the greatest common divisor of 681 and 977, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 12^8 modulo 85.", "role": "human" }, { "content": "Let's calculate 12^8 modulo 85. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9^7 modulo 17.", "role": "human" }, { "content": "Let's calculate 9^7 modulo 17. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 308 and 722.", "role": "human" }, { "content": "To find the greatest common divisor of 308 and 722, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5! modulo 12.", "role": "human" }, { "content": "Let's calculate 5! modulo 12. \n\nFirst, let's break this down:\n\n1) We need to calculate 5! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 25.", "role": "human" }, { "content": "Let's calculate 10! modulo 25. \n\nFirst, let's break this down:\n\n1) We need to calculate 10! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 101 and 285.", "role": "human" }, { "content": "To find the greatest common divisor of 101 and 285, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18^15 modulo 7.", "role": "human" }, { "content": "Let's calculate 18^15 modulo 7. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 14! modulo 11.", "role": "human" }, { "content": "Let's calculate 14! modulo 11. \n\nFirst, let's break this down:\n\n1) We need to calculate 14! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 483 and 721.", "role": "human" }, { "content": "To find the greatest common divisor of 483 and 721, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 4^15 modulo 91.", "role": "human" }, { "content": "Let's calculate 4^15 modulo 91. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3^6 modulo 99.", "role": "human" }, { "content": "Let's calculate 3^6 modulo 99. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2! modulo 63.", "role": "human" }, { "content": "Let's calculate 2! modulo 63. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 702 and 905.", "role": "human" }, { "content": "To find the greatest common divisor of 702 and 905, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 522 and 48.", "role": "human" }, { "content": "To find the greatest common divisor of 522 and 48, we can use the Euclidean alg...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 12^5 modulo 76.", "role": "human" }, { "content": "Let's calculate 12^5 modulo 76. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19^15 modulo 42.", "role": "human" }, { "content": "Let's calculate 19^15 modulo 42. \n\nTo do this efficiently, we can use the concept of modular expon...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17^6 modulo 8.", "role": "human" }, { "content": "Let's calculate 17^6 modulo 8. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 702 and 270.", "role": "human" }, { "content": "To find the greatest common divisor of 702 and 270, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 13^15 modulo 65.", "role": "human" }, { "content": "Let's calculate 13^15 modulo 65. \n\nTo do this efficiently, we can use the concept of modular expon...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 589 and 460.", "role": "human" }, { "content": "To find the greatest common divisor of 589 and 460, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 607 and 209.", "role": "human" }, { "content": "To find the greatest common divisor of 607 and 209, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 761 and 61.", "role": "human" }, { "content": "To find the greatest common divisor of 761 and 61, we can use the Euclidean alg...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 4^4 modulo 25.", "role": "human" }, { "content": "Let's calculate 4^4 modulo 25. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^7 modulo 91.", "role": "human" }, { "content": "Let's calculate 5^7 modulo 91. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 117 and 658.", "role": "human" }, { "content": "To find the greatest common divisor of 117 and 658, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^12 modulo 74.", "role": "human" }, { "content": "Let's calculate 5^12 modulo 74. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 22.", "role": "human" }, { "content": "Let's calculate 20! modulo 22. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3^11 modulo 52.", "role": "human" }, { "content": "Let's calculate 3^11 modulo 52. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^11 modulo 51.", "role": "human" }, { "content": "Let's calculate 2^11 modulo 51. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2! modulo 13.", "role": "human" }, { "content": "Let's calculate 2! modulo 13. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8^4 modulo 81.", "role": "human" }, { "content": "Let's calculate 8^4 modulo 81. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17! modulo 52.", "role": "human" }, { "content": "Let's calculate 17! modulo 52. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16^10 modulo 13.", "role": "human" }, { "content": "Let's calculate 16^10 modulo 13. \n\nTo do this efficiently, we can use the concept of modular expon...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15! modulo 98.", "role": "human" }, { "content": "Let's calculate 15! modulo 98. \n\nFirst, let's break this down:\n\n1) We need to calculate 15! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10^1 modulo 5.", "role": "human" }, { "content": "Let's calculate 10^1 modulo 5. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 41.", "role": "human" }, { "content": "Let's calculate 6! modulo 41. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 833 and 802.", "role": "human" }, { "content": "To find the greatest common divisor of 833 and 802, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^14 modulo 52.", "role": "human" }, { "content": "Let's calculate 2^14 modulo 52. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 13! modulo 50.", "role": "human" }, { "content": "Let's calculate 13! modulo 50. \n\nFirst, let's break this down:\n\n1) We need to calculate 13! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18! modulo 44.", "role": "human" }, { "content": "Let's calculate 18! modulo 44. \n\nFirst, let's break this down:\n\n1) We need to calculate 18! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9! modulo 92.", "role": "human" }, { "content": "Let's calculate 9! modulo 92. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^20 modulo 60.", "role": "human" }, { "content": "Let's calculate 2^20 modulo 60. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5! modulo 80.", "role": "human" }, { "content": "Let's calculate 5! modulo 80. \n\nFirst, let's break this down:\n\n1) We need to calculate 5! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 682 and 980.", "role": "human" }, { "content": "To find the greatest common divisor of 682 and 980, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 851 and 759.", "role": "human" }, { "content": "To find the greatest common divisor of 851 and 759, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 11.", "role": "human" }, { "content": "Let's calculate 8! modulo 11. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^17 modulo 85.", "role": "human" }, { "content": "Let's calculate 5^17 modulo 85. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 992 and 887.", "role": "human" }, { "content": "To find the greatest common divisor of 992 and 887, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 548 and 813.", "role": "human" }, { "content": "To find the greatest common divisor of 548 and 813, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 669 and 908.", "role": "human" }, { "content": "To find the greatest common divisor of 669 and 908, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 51.", "role": "human" }, { "content": "Let's calculate 20! modulo 51. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 78.", "role": "human" }, { "content": "Let's calculate 20! modulo 78. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 993 and 982.", "role": "human" }, { "content": "To find the greatest common divisor of 993 and 982, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 57.", "role": "human" }, { "content": "Let's calculate 6! modulo 57. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18! modulo 37.", "role": "human" }, { "content": "Let's calculate 18! modulo 37. \n\nFirst, let's break this down:\n\n1) We need to calculate 18! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9^4 modulo 47.", "role": "human" }, { "content": "Let's calculate 9^4 modulo 47. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 827 and 484.", "role": "human" }, { "content": "To find the greatest common divisor of 827 and 484, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11^18 modulo 48.", "role": "human" }, { "content": "Let's calculate 11^18 modulo 48. \n\nTo do this efficiently, we can use the concept of modular expon...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^9 modulo 10.", "role": "human" }, { "content": "Let's calculate 7^9 modulo 10. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16! modulo 65.", "role": "human" }, { "content": "Let's calculate 16! modulo 65. \n\nFirst, let's break this down:\n\n1) We need to calculate 16! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 42.", "role": "human" }, { "content": "Let's calculate 6! modulo 42. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^2 modulo 63.", "role": "human" }, { "content": "Let's calculate 5^2 modulo 63. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 42.", "role": "human" }, { "content": "Let's calculate 20! modulo 42. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 70.", "role": "human" }, { "content": "Let's calculate 6! modulo 70. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 214 and 514.", "role": "human" }, { "content": "To find the greatest common divisor of 214 and 514, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 14! modulo 66.", "role": "human" }, { "content": "Let's calculate 14! modulo 66. \n\nFirst, let's break this down:\n\n1) We need to calculate 14! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 314 and 374.", "role": "human" }, { "content": "To find the greatest common divisor of 314 and 374, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 513 and 309.", "role": "human" }, { "content": "To find the greatest common divisor of 513 and 309, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19^9 modulo 94.", "role": "human" }, { "content": "Let's calculate 19^9 modulo 94. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11^5 modulo 89.", "role": "human" }, { "content": "Let's calculate 11^5 modulo 89. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^3 modulo 100.", "role": "human" }, { "content": "Let's calculate 2^3 modulo 100. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 756 and 158.", "role": "human" }, { "content": "To find the greatest common divisor of 756 and 158, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8^2 modulo 77.", "role": "human" }, { "content": "Let's calculate 8^2 modulo 77. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 14! modulo 6.", "role": "human" }, { "content": "Let's calculate 14! modulo 6. \n\nFirst, let's break this down:\n\n1) We need to calculate 14! (factori...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 565 and 915.", "role": "human" }, { "content": "To find the greatest common divisor of 565 and 915, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 159 and 749.", "role": "human" }, { "content": "To find the greatest common divisor of 159 and 749, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18^1 modulo 100.", "role": "human" }, { "content": "Let's calculate 18^1 modulo 100. \n\nTo do this efficiently, we can use the concept of modular expon...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5! modulo 93.", "role": "human" }, { "content": "Let's calculate 5! modulo 93. \n\nFirst, let's break this down:\n\n1) We need to calculate 5! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^4 modulo 50.", "role": "human" }, { "content": "Let's calculate 5^4 modulo 50. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20^15 modulo 54.", "role": "human" }, { "content": "Let's calculate 20^15 modulo 54. \n\nTo do this efficiently, we can use the concept of modular expon...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15! modulo 59.", "role": "human" }, { "content": "Let's calculate 15! modulo 59. \n\nFirst, let's break this down:\n\n1) We need to calculate 15! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 716 and 226.", "role": "human" }, { "content": "To find the greatest common divisor of 716 and 226, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 220 and 964.", "role": "human" }, { "content": "To find the greatest common divisor of 220 and 964, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 474 and 25.", "role": "human" }, { "content": "To find the greatest common divisor of 474 and 25, we can use the Euclidean alg...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 4^19 modulo 3.", "role": "human" }, { "content": "Let's calculate 4^19 modulo 3. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9! modulo 95.", "role": "human" }, { "content": "Let's calculate 9! modulo 95. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 857 and 619.", "role": "human" }, { "content": "To find the greatest common divisor of 857 and 619, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18^3 modulo 52.", "role": "human" }, { "content": "Let's calculate 18^3 modulo 52. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16! modulo 27.", "role": "human" }, { "content": "Let's calculate 16! modulo 27. \n\nFirst, let's break this down:\n\n1) We need to calculate 16! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11! modulo 53.", "role": "human" }, { "content": "Let's calculate 11! modulo 53. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 443 and 126.", "role": "human" }, { "content": "To find the greatest common divisor of 443 and 126, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^9 modulo 60.", "role": "human" }, { "content": "Let's calculate 1^9 modulo 60. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7! modulo 97.", "role": "human" }, { "content": "Let's calculate 7! modulo 97. \n\nFirst, let's break this down:\n\n1) We need to calculate 7! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9! modulo 20.", "role": "human" }, { "content": "Let's calculate 9! modulo 20. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16^5 modulo 55.", "role": "human" }, { "content": "Let's calculate 16^5 modulo 55. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9^5 modulo 56.", "role": "human" }, { "content": "Let's calculate 9^5 modulo 56. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6^12 modulo 60.", "role": "human" }, { "content": "Let's calculate 6^12 modulo 60. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^1 modulo 2.", "role": "human" }, { "content": "Let's calculate 1^1 modulo 2. \n\nTo do this efficiently, we can use the concept of modular exponentiat...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1! modulo 88.", "role": "human" }, { "content": "Let's calculate 1! modulo 88. \n\nFirst, let's break this down:\n\n1) We need to calculate 1! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 681 and 977.", "role": "human" }, { "content": "To find the greatest common divisor of 681 and 977, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 12^8 modulo 85.", "role": "human" }, { "content": "Let's calculate 12^8 modulo 85. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9^7 modulo 17.", "role": "human" }, { "content": "Let's calculate 9^7 modulo 17. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 308 and 722.", "role": "human" }, { "content": "To find the greatest common divisor of 308 and 722, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5! modulo 12.", "role": "human" }, { "content": "Let's calculate 5! modulo 12. \n\nFirst, let's break this down:\n\n1) We need to calculate 5! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 25.", "role": "human" }, { "content": "Let's calculate 10! modulo 25. \n\nFirst, let's break this down:\n\n1) We need to calculate 10! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 101 and 285.", "role": "human" }, { "content": "To find the greatest common divisor of 101 and 285, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18^15 modulo 7.", "role": "human" }, { "content": "Let's calculate 18^15 modulo 7. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 14! modulo 11.", "role": "human" }, { "content": "Let's calculate 14! modulo 11. \n\nFirst, let's break this down:\n\n1) We need to calculate 14! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 483 and 721.", "role": "human" }, { "content": "To find the greatest common divisor of 483 and 721, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 4^15 modulo 91.", "role": "human" }, { "content": "Let's calculate 4^15 modulo 91. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3^6 modulo 99.", "role": "human" }, { "content": "Let's calculate 3^6 modulo 99. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2! modulo 63.", "role": "human" }, { "content": "Let's calculate 2! modulo 63. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 702 and 905.", "role": "human" }, { "content": "To find the greatest common divisor of 702 and 905, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 522 and 48.", "role": "human" }, { "content": "To find the greatest common divisor of 522 and 48, we can use the Euclidean alg...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 12^5 modulo 76.", "role": "human" }, { "content": "Let's calculate 12^5 modulo 76. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19^15 modulo 42.", "role": "human" }, { "content": "Let's calculate 19^15 modulo 42. \n\nTo do this efficiently, we can use the concept of modular expon...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17^6 modulo 8.", "role": "human" }, { "content": "Let's calculate 17^6 modulo 8. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 702 and 270.", "role": "human" }, { "content": "To find the greatest common divisor of 702 and 270, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 13^15 modulo 65.", "role": "human" }, { "content": "Let's calculate 13^15 modulo 65. \n\nTo do this efficiently, we can use the concept of modular expon...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 589 and 460.", "role": "human" }, { "content": "To find the greatest common divisor of 589 and 460, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 607 and 209.", "role": "human" }, { "content": "To find the greatest common divisor of 607 and 209, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 761 and 61.", "role": "human" }, { "content": "To find the greatest common divisor of 761 and 61, we can use the Euclidean alg...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 4^4 modulo 25.", "role": "human" }, { "content": "Let's calculate 4^4 modulo 25. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^7 modulo 91.", "role": "human" }, { "content": "Let's calculate 5^7 modulo 91. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 117 and 658.", "role": "human" }, { "content": "To find the greatest common divisor of 117 and 658, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^12 modulo 74.", "role": "human" }, { "content": "Let's calculate 5^12 modulo 74. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 22.", "role": "human" }, { "content": "Let's calculate 20! modulo 22. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3^11 modulo 52.", "role": "human" }, { "content": "Let's calculate 3^11 modulo 52. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^11 modulo 51.", "role": "human" }, { "content": "Let's calculate 2^11 modulo 51. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2! modulo 13.", "role": "human" }, { "content": "Let's calculate 2! modulo 13. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8^4 modulo 81.", "role": "human" }, { "content": "Let's calculate 8^4 modulo 81. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17! modulo 52.", "role": "human" }, { "content": "Let's calculate 17! modulo 52. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16^10 modulo 13.", "role": "human" }, { "content": "Let's calculate 16^10 modulo 13. \n\nTo do this efficiently, we can use the concept of modular expon...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15! modulo 98.", "role": "human" }, { "content": "Let's calculate 15! modulo 98. \n\nFirst, let's break this down:\n\n1) We need to calculate 15! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10^1 modulo 5.", "role": "human" }, { "content": "Let's calculate 10^1 modulo 5. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 41.", "role": "human" }, { "content": "Let's calculate 6! modulo 41. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 833 and 802.", "role": "human" }, { "content": "To find the greatest common divisor of 833 and 802, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^14 modulo 52.", "role": "human" }, { "content": "Let's calculate 2^14 modulo 52. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 13! modulo 50.", "role": "human" }, { "content": "Let's calculate 13! modulo 50. \n\nFirst, let's break this down:\n\n1) We need to calculate 13! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18! modulo 44.", "role": "human" }, { "content": "Let's calculate 18! modulo 44. \n\nFirst, let's break this down:\n\n1) We need to calculate 18! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9! modulo 92.", "role": "human" }, { "content": "Let's calculate 9! modulo 92. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^20 modulo 60.", "role": "human" }, { "content": "Let's calculate 2^20 modulo 60. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5! modulo 80.", "role": "human" }, { "content": "Let's calculate 5! modulo 80. \n\nFirst, let's break this down:\n\n1) We need to calculate 5! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 682 and 980.", "role": "human" }, { "content": "To find the greatest common divisor of 682 and 980, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 851 and 759.", "role": "human" }, { "content": "To find the greatest common divisor of 851 and 759, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 11.", "role": "human" }, { "content": "Let's calculate 8! modulo 11. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^17 modulo 85.", "role": "human" }, { "content": "Let's calculate 5^17 modulo 85. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 992 and 887.", "role": "human" }, { "content": "To find the greatest common divisor of 992 and 887, we can use the Euclidean a...