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": "Calculate 6^15 modulo 87.", "role": "human" }, { "content": "Let's calculate 6^15 modulo 87. \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 16^15 modulo 15.", "role": "human" }, { "content": "Let's calculate 16^15 modulo 15. \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 320 and 25.", "role": "human" }, { "content": "To find the greatest common divisor of 320 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 16^6 modulo 14.", "role": "human" }, { "content": "Let's calculate 16^6 modulo 14. \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 477 and 310.", "role": "human" }, { "content": "To find the greatest common divisor of 477 and 310, 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! modulo 28.", "role": "human" }, { "content": "Let's calculate 1! modulo 28. \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": "Calculate 18^13 modulo 55.", "role": "human" }, { "content": "Let's calculate 18^13 modulo 55. \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 434 and 75.", "role": "human" }, { "content": "To find the greatest common divisor of 434 and 75, 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 11^13 modulo 94.", "role": "human" }, { "content": "Let's calculate 11^13 modulo 94. \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 12! modulo 10.", "role": "human" }, { "content": "Let's calculate 12! modulo 10. \n\nFirst, let's break this down:\n\n1) We need to calculate 12! (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 159 and 251.", "role": "human" }, { "content": "To find the greatest common divisor of 159 and 251, 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 986 and 517.", "role": "human" }, { "content": "To find the greatest common divisor of 986 and 517, 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 17! modulo 14.", "role": "human" }, { "content": "Let's calculate 17! modulo 14. \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 6! modulo 22.", "role": "human" }, { "content": "Let's calculate 6! modulo 22. \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! modulo 64.", "role": "human" }, { "content": "Let's calculate 5! modulo 64. \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 4^14 modulo 13.", "role": "human" }, { "content": "Let's calculate 4^14 modulo 13. \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 462 and 581.", "role": "human" }, { "content": "To find the greatest common divisor of 462 and 581, 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 18^10 modulo 8.", "role": "human" }, { "content": "Let's calculate 18^10 modulo 8. \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 220 and 483.", "role": "human" }, { "content": "To find the greatest common divisor of 220 and 483, 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 9^5 modulo 38.", "role": "human" }, { "content": "Let's calculate 9^5 modulo 38. \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 737 and 660.", "role": "human" }, { "content": "To find the greatest common divisor of 737 and 660, 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 582 and 574.", "role": "human" }, { "content": "To find the greatest common divisor of 582 and 574, 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 8^15 modulo 26.", "role": "human" }, { "content": "Let's calculate 8^15 modulo 26. \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! modulo 32.", "role": "human" }, { "content": "Let's calculate 11! modulo 32. \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": "Calculate 16! modulo 89.", "role": "human" }, { "content": "Let's calculate 16! modulo 89. \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 9! modulo 72.", "role": "human" }, { "content": "Let's calculate 9! modulo 72. \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 512 and 39.", "role": "human" }, { "content": "To find the greatest common divisor of 512 and 39, we can use the Euclidean alg...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 947 and 6.", "role": "human" }, { "content": "To find the greatest common divisor of 947 and 6, we can use the Euclidean algor...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7! modulo 40.", "role": "human" }, { "content": "Let's calculate 7! modulo 40. \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 5! modulo 87.", "role": "human" }, { "content": "Let's calculate 5! modulo 87. \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 895 and 954.", "role": "human" }, { "content": "To find the greatest common divisor of 895 and 954, 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 7! modulo 17.", "role": "human" }, { "content": "Let's calculate 7! modulo 17. \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 19! modulo 55.", "role": "human" }, { "content": "Let's calculate 19! modulo 55. \n\nFirst, let's break this down:\n\n1) We need to calculate 19! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 44.", "role": "human" }, { "content": "Let's calculate 20! modulo 44. \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 13! modulo 73.", "role": "human" }, { "content": "Let's calculate 13! modulo 73. \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 14! modulo 49.", "role": "human" }, { "content": "Let's calculate 14! modulo 49. \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": "Calculate 12^6 modulo 94.", "role": "human" }, { "content": "Let's calculate 12^6 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": "Find the greatest common divisor of 611 and 335.", "role": "human" }, { "content": "To find the greatest common divisor of 611 and 335, 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 7! modulo 61.", "role": "human" }, { "content": "Let's calculate 7! modulo 61. \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 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 15! modulo 51.", "role": "human" }, { "content": "Let's calculate 15! modulo 51. \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 11! modulo 87.", "role": "human" }, { "content": "Let's calculate 11! modulo 87. \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": "Calculate 20! modulo 15.", "role": "human" }, { "content": "Let's calculate 20! modulo 15. \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 1^13 modulo 77.", "role": "human" }, { "content": "Let's calculate 1^13 modulo 77. \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 510 and 832.", "role": "human" }, { "content": "To find the greatest common divisor of 510 and 832, 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 779 and 759.", "role": "human" }, { "content": "To find the greatest common divisor of 779 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": "Find the greatest common divisor of 481 and 946.", "role": "human" }, { "content": "To find the greatest common divisor of 481 and 946, 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 6^19 modulo 54.", "role": "human" }, { "content": "Let's calculate 6^19 modulo 54. \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 102 and 952.", "role": "human" }, { "content": "To find the greatest common divisor of 102 and 952, 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! modulo 94.", "role": "human" }, { "content": "Let's calculate 18! modulo 94. \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 19! modulo 88.", "role": "human" }, { "content": "Let's calculate 19! modulo 88. \n\nFirst, let's break this down:\n\n1) We need to calculate 19! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 4^5 modulo 80.", "role": "human" }, { "content": "Let's calculate 4^5 modulo 80. \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 19! modulo 50.", "role": "human" }, { "content": "Let's calculate 19! modulo 50. \n\nFirst, let's break this down:\n\n1) We need to calculate 19! (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 28 and 165.", "role": "human" }, { "content": "To find the greatest common divisor of 28 and 165, 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 19^1 modulo 16.", "role": "human" }, { "content": "Let's calculate 19^1 modulo 16. \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 634 and 680.", "role": "human" }, { "content": "To find the greatest common divisor of 634 and 680, 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 19^19 modulo 63.", "role": "human" }, { "content": "Let's calculate 19^19 modulo 63. \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 11^11 modulo 96.", "role": "human" }, { "content": "Let's calculate 11^11 modulo 96. \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 246 and 218.", "role": "human" }, { "content": "To find the greatest common divisor of 246 and 218, 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 7^2 modulo 91.", "role": "human" }, { "content": "Let's calculate 7^2 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": "Calculate 2^9 modulo 68.", "role": "human" }, { "content": "Let's calculate 2^9 modulo 68. \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 40.", "role": "human" }, { "content": "Let's calculate 9! modulo 40. \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 343 and 588.", "role": "human" }, { "content": "To find the greatest common divisor of 343 and 588, 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 78.", "role": "human" }, { "content": "Let's calculate 5! modulo 78. \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 17! modulo 7.", "role": "human" }, { "content": "Let's calculate 17! modulo 7. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (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 750 and 407.", "role": "human" }, { "content": "To find the greatest common divisor of 750 and 407, 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 2.", "role": "human" }, { "content": "Let's calculate 6! modulo 2. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factorial ...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3^14 modulo 31.", "role": "human" }, { "content": "Let's calculate 3^14 modulo 31. \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 148 and 46.", "role": "human" }, { "content": "To find the greatest common divisor of 148 and 46, 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 7^13 modulo 5.", "role": "human" }, { "content": "Let's calculate 7^13 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 17^10 modulo 81.", "role": "human" }, { "content": "Let's calculate 17^10 modulo 81. \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 13^9 modulo 50.", "role": "human" }, { "content": "Let's calculate 13^9 modulo 50. \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 402 and 828.", "role": "human" }, { "content": "To find the greatest common divisor of 402 and 828, 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 16! modulo 57.", "role": "human" }, { "content": "Let's calculate 16! modulo 57. \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 9! modulo 66.", "role": "human" }, { "content": "Let's calculate 9! modulo 66. \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 1! modulo 21.", "role": "human" }, { "content": "Let's calculate 1! modulo 21. \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": "Calculate 16! modulo 8.", "role": "human" }, { "content": "Let's calculate 16! modulo 8. \n\nFirst, let's break this down:\n\n1) We need to calculate 16! (factori...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16! modulo 49.", "role": "human" }, { "content": "Let's calculate 16! modulo 49. \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 13^10 modulo 3.", "role": "human" }, { "content": "Let's calculate 13^10 modulo 3. \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 212 and 396.", "role": "human" }, { "content": "To find the greatest common divisor of 212 and 396, 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 352 and 344.", "role": "human" }, { "content": "To find the greatest common divisor of 352 and 344, 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 822 and 86.", "role": "human" }, { "content": "To find the greatest common divisor of 822 and 86, we can use the Euclidean alg...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 975 and 921.", "role": "human" }, { "content": "To find the greatest common divisor of 975 and 921, 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 78.", "role": "human" }, { "content": "Let's calculate 5! modulo 78. \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 15^18 modulo 36.", "role": "human" }, { "content": "Let's calculate 15^18 modulo 36. \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 689 and 67.", "role": "human" }, { "content": "To find the greatest common divisor of 689 and 67, 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 4^2 modulo 80.", "role": "human" }, { "content": "Let's calculate 4^2 modulo 80. \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! modulo 90.", "role": "human" }, { "content": "Let's calculate 5! modulo 90. \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 16^16 modulo 74.", "role": "human" }, { "content": "Let's calculate 16^16 modulo 74. \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 14! modulo 55.", "role": "human" }, { "content": "Let's calculate 14! modulo 55. \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": "Calculate 18! modulo 15.", "role": "human" }, { "content": "Let's calculate 18! modulo 15. \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 1^12 modulo 40.", "role": "human" }, { "content": "Let's calculate 1^12 modulo 40. \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 123 and 662.", "role": "human" }, { "content": "To find the greatest common divisor of 123 and 662, 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 8^6 modulo 96.", "role": "human" }, { "content": "Let's calculate 8^6 modulo 96. \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 13^6 modulo 97.", "role": "human" }, { "content": "Let's calculate 13^6 modulo 97. \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 14^5 modulo 7.", "role": "human" }, { "content": "Let's calculate 14^5 modulo 7. \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 11! modulo 3.", "role": "human" }, { "content": "Let's calculate 11! modulo 3. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (factori...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 68.", "role": "human" }, { "content": "Let's calculate 8! modulo 68. \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": "Find the greatest common divisor of 547 and 100.", "role": "human" }, { "content": "To find the greatest common divisor of 547 and 100, 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 8^11 modulo 57.", "role": "human" }, { "content": "Let's calculate 8^11 modulo 57. \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 6^15 modulo 87.", "role": "human" }, { "content": "Let's calculate 6^15 modulo 87. \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 16^15 modulo 15.", "role": "human" }, { "content": "Let's calculate 16^15 modulo 15. \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 320 and 25.", "role": "human" }, { "content": "To find the greatest common divisor of 320 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 16^6 modulo 14.", "role": "human" }, { "content": "Let's calculate 16^6 modulo 14. \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 477 and 310.", "role": "human" }, { "content": "To find the greatest common divisor of 477 and 310, 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! modulo 28.", "role": "human" }, { "content": "Let's calculate 1! modulo 28. \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": "Calculate 18^13 modulo 55.", "role": "human" }, { "content": "Let's calculate 18^13 modulo 55. \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 434 and 75.", "role": "human" }, { "content": "To find the greatest common divisor of 434 and 75, 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 11^13 modulo 94.", "role": "human" }, { "content": "Let's calculate 11^13 modulo 94. \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 12! modulo 10.", "role": "human" }, { "content": "Let's calculate 12! modulo 10. \n\nFirst, let's break this down:\n\n1) We need to calculate 12! (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 159 and 251.", "role": "human" }, { "content": "To find the greatest common divisor of 159 and 251, 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 986 and 517.", "role": "human" }, { "content": "To find the greatest common divisor of 986 and 517, 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 17! modulo 14.", "role": "human" }, { "content": "Let's calculate 17! modulo 14. \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 6! modulo 22.", "role": "human" }, { "content": "Let's calculate 6! modulo 22. \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! modulo 64.", "role": "human" }, { "content": "Let's calculate 5! modulo 64. \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 4^14 modulo 13.", "role": "human" }, { "content": "Let's calculate 4^14 modulo 13. \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 462 and 581.", "role": "human" }, { "content": "To find the greatest common divisor of 462 and 581, 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 18^10 modulo 8.", "role": "human" }, { "content": "Let's calculate 18^10 modulo 8. \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 220 and 483.", "role": "human" }, { "content": "To find the greatest common divisor of 220 and 483, 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 9^5 modulo 38.", "role": "human" }, { "content": "Let's calculate 9^5 modulo 38. \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 737 and 660.", "role": "human" }, { "content": "To find the greatest common divisor of 737 and 660, 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 582 and 574.", "role": "human" }, { "content": "To find the greatest common divisor of 582 and 574, 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 8^15 modulo 26.", "role": "human" }, { "content": "Let's calculate 8^15 modulo 26. \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! modulo 32.", "role": "human" }, { "content": "Let's calculate 11! modulo 32. \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": "Calculate 16! modulo 89.", "role": "human" }, { "content": "Let's calculate 16! modulo 89. \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 9! modulo 72.", "role": "human" }, { "content": "Let's calculate 9! modulo 72. \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 512 and 39.", "role": "human" }, { "content": "To find the greatest common divisor of 512 and 39, we can use the Euclidean alg...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 947 and 6.", "role": "human" }, { "content": "To find the greatest common divisor of 947 and 6, we can use the Euclidean algor...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7! modulo 40.", "role": "human" }, { "content": "Let's calculate 7! modulo 40. \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 5! modulo 87.", "role": "human" }, { "content": "Let's calculate 5! modulo 87. \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 895 and 954.", "role": "human" }, { "content": "To find the greatest common divisor of 895 and 954, 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 7! modulo 17.", "role": "human" }, { "content": "Let's calculate 7! modulo 17. \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 19! modulo 55.", "role": "human" }, { "content": "Let's calculate 19! modulo 55. \n\nFirst, let's break this down:\n\n1) We need to calculate 19! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 44.", "role": "human" }, { "content": "Let's calculate 20! modulo 44. \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 13! modulo 73.", "role": "human" }, { "content": "Let's calculate 13! modulo 73. \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 14! modulo 49.", "role": "human" }, { "content": "Let's calculate 14! modulo 49. \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": "Calculate 12^6 modulo 94.", "role": "human" }, { "content": "Let's calculate 12^6 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": "Find the greatest common divisor of 611 and 335.", "role": "human" }, { "content": "To find the greatest common divisor of 611 and 335, 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 7! modulo 61.", "role": "human" }, { "content": "Let's calculate 7! modulo 61. \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 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 15! modulo 51.", "role": "human" }, { "content": "Let's calculate 15! modulo 51. \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 11! modulo 87.", "role": "human" }, { "content": "Let's calculate 11! modulo 87. \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": "Calculate 20! modulo 15.", "role": "human" }, { "content": "Let's calculate 20! modulo 15. \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 1^13 modulo 77.", "role": "human" }, { "content": "Let's calculate 1^13 modulo 77. \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 510 and 832.", "role": "human" }, { "content": "To find the greatest common divisor of 510 and 832, 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 779 and 759.", "role": "human" }, { "content": "To find the greatest common divisor of 779 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": "Find the greatest common divisor of 481 and 946.", "role": "human" }, { "content": "To find the greatest common divisor of 481 and 946, 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 6^19 modulo 54.", "role": "human" }, { "content": "Let's calculate 6^19 modulo 54. \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 102 and 952.", "role": "human" }, { "content": "To find the greatest common divisor of 102 and 952, 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! modulo 94.", "role": "human" }, { "content": "Let's calculate 18! modulo 94. \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 19! modulo 88.", "role": "human" }, { "content": "Let's calculate 19! modulo 88. \n\nFirst, let's break this down:\n\n1) We need to calculate 19! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 4^5 modulo 80.", "role": "human" }, { "content": "Let's calculate 4^5 modulo 80. \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 19! modulo 50.", "role": "human" }, { "content": "Let's calculate 19! modulo 50. \n\nFirst, let's break this down:\n\n1) We need to calculate 19! (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 28 and 165.", "role": "human" }, { "content": "To find the greatest common divisor of 28 and 165, 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 19^1 modulo 16.", "role": "human" }, { "content": "Let's calculate 19^1 modulo 16. \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 634 and 680.", "role": "human" }, { "content": "To find the greatest common divisor of 634 and 680, 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 19^19 modulo 63.", "role": "human" }, { "content": "Let's calculate 19^19 modulo 63. \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 11^11 modulo 96.", "role": "human" }, { "content": "Let's calculate 11^11 modulo 96. \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 246 and 218.", "role": "human" }, { "content": "To find the greatest common divisor of 246 and 218, 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 7^2 modulo 91.", "role": "human" }, { "content": "Let's calculate 7^2 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": "Calculate 2^9 modulo 68.", "role": "human" }, { "content": "Let's calculate 2^9 modulo 68. \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 40.", "role": "human" }, { "content": "Let's calculate 9! modulo 40. \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 343 and 588.", "role": "human" }, { "content": "To find the greatest common divisor of 343 and 588, 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 78.", "role": "human" }, { "content": "Let's calculate 5! modulo 78. \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 17! modulo 7.", "role": "human" }, { "content": "Let's calculate 17! modulo 7. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (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 750 and 407.", "role": "human" }, { "content": "To find the greatest common divisor of 750 and 407, 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 2.", "role": "human" }, { "content": "Let's calculate 6! modulo 2. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factorial ...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3^14 modulo 31.", "role": "human" }, { "content": "Let's calculate 3^14 modulo 31. \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 148 and 46.", "role": "human" }, { "content": "To find the greatest common divisor of 148 and 46, 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 7^13 modulo 5.", "role": "human" }, { "content": "Let's calculate 7^13 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 17^10 modulo 81.", "role": "human" }, { "content": "Let's calculate 17^10 modulo 81. \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 13^9 modulo 50.", "role": "human" }, { "content": "Let's calculate 13^9 modulo 50. \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 402 and 828.", "role": "human" }, { "content": "To find the greatest common divisor of 402 and 828, 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 16! modulo 57.", "role": "human" }, { "content": "Let's calculate 16! modulo 57. \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 9! modulo 66.", "role": "human" }, { "content": "Let's calculate 9! modulo 66. \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 1! modulo 21.", "role": "human" }, { "content": "Let's calculate 1! modulo 21. \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": "Calculate 16! modulo 8.", "role": "human" }, { "content": "Let's calculate 16! modulo 8. \n\nFirst, let's break this down:\n\n1) We need to calculate 16! (factori...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16! modulo 49.", "role": "human" }, { "content": "Let's calculate 16! modulo 49. \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 13^10 modulo 3.", "role": "human" }, { "content": "Let's calculate 13^10 modulo 3. \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 212 and 396.", "role": "human" }, { "content": "To find the greatest common divisor of 212 and 396, 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 352 and 344.", "role": "human" }, { "content": "To find the greatest common divisor of 352 and 344, 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 822 and 86.", "role": "human" }, { "content": "To find the greatest common divisor of 822 and 86, we can use the Euclidean alg...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 975 and 921.", "role": "human" }, { "content": "To find the greatest common divisor of 975 and 921, 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 78.", "role": "human" }, { "content": "Let's calculate 5! modulo 78. \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 15^18 modulo 36.", "role": "human" }, { "content": "Let's calculate 15^18 modulo 36. \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 689 and 67.", "role": "human" }, { "content": "To find the greatest common divisor of 689 and 67, 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 4^2 modulo 80.", "role": "human" }, { "content": "Let's calculate 4^2 modulo 80. \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! modulo 90.", "role": "human" }, { "content": "Let's calculate 5! modulo 90. \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 16^16 modulo 74.", "role": "human" }, { "content": "Let's calculate 16^16 modulo 74. \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 14! modulo 55.", "role": "human" }, { "content": "Let's calculate 14! modulo 55. \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": "Calculate 18! modulo 15.", "role": "human" }, { "content": "Let's calculate 18! modulo 15. \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 1^12 modulo 40.", "role": "human" }, { "content": "Let's calculate 1^12 modulo 40. \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 123 and 662.", "role": "human" }, { "content": "To find the greatest common divisor of 123 and 662, 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 8^6 modulo 96.", "role": "human" }, { "content": "Let's calculate 8^6 modulo 96. \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 13^6 modulo 97.", "role": "human" }, { "content": "Let's calculate 13^6 modulo 97. \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 14^5 modulo 7.", "role": "human" }, { "content": "Let's calculate 14^5 modulo 7. \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 11! modulo 3.", "role": "human" }, { "content": "Let's calculate 11! modulo 3. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (factori...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 68.", "role": "human" }, { "content": "Let's calculate 8! modulo 68. \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": "Find the greatest common divisor of 547 and 100.", "role": "human" }, { "content": "To find the greatest common divisor of 547 and 100, 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 8^11 modulo 57.", "role": "human" }, { "content": "Let's calculate 8^11 modulo 57. \n\nTo do this efficiently, we can use the concept of modular exponen...