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 20! modulo 38.", "role": "human" }, { "content": "Let's calculate 20! modulo 38. \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 179 and 573.", "role": "human" }, { "content": "To find the greatest common divisor of 179 and 573, 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 42.", "role": "human" }, { "content": "Let's calculate 18! modulo 42. \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": "Find the greatest common divisor of 508 and 934.", "role": "human" }, { "content": "To find the greatest common divisor of 508 and 934, 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 194 and 444.", "role": "human" }, { "content": "To find the greatest common divisor of 194 and 444, 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 14^2 modulo 46.", "role": "human" }, { "content": "Let's calculate 14^2 modulo 46. \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 130 and 41.", "role": "human" }, { "content": "To find the greatest common divisor of 130 and 41, 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 11^15 modulo 81.", "role": "human" }, { "content": "Let's calculate 11^15 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": "Find the greatest common divisor of 853 and 640.", "role": "human" }, { "content": "To find the greatest common divisor of 853 and 640, 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 3^4 modulo 82.", "role": "human" }, { "content": "Let's calculate 3^4 modulo 82. \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 4! modulo 20.", "role": "human" }, { "content": "Let's calculate 4! modulo 20. \n\nFirst, let's break this down:\n\n1) We need to calculate 4! (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 745 and 861.", "role": "human" }, { "content": "To find the greatest common divisor of 745 and 861, 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! modulo 37.", "role": "human" }, { "content": "Let's calculate 2! modulo 37. \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 20! modulo 98.", "role": "human" }, { "content": "Let's calculate 20! modulo 98. \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 19! modulo 31.", "role": "human" }, { "content": "Let's calculate 19! modulo 31. \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 795 and 50.", "role": "human" }, { "content": "To find the greatest common divisor of 795 and 50, 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 10! modulo 41.", "role": "human" }, { "content": "Let's calculate 10! modulo 41. \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": "Calculate 13! modulo 2.", "role": "human" }, { "content": "Let's calculate 13! modulo 2. \n\nFirst, let's break this down:\n\n1) We need to calculate 13! (factori...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16! modulo 54.", "role": "human" }, { "content": "Let's calculate 16! modulo 54. \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": "Find the greatest common divisor of 704 and 694.", "role": "human" }, { "content": "To find the greatest common divisor of 704 and 694, 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 561 and 928.", "role": "human" }, { "content": "To find the greatest common divisor of 561 and 928, 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 884 and 261.", "role": "human" }, { "content": "To find the greatest common divisor of 884 and 261, 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 954 and 203.", "role": "human" }, { "content": "To find the greatest common divisor of 954 and 203, 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 520.", "role": "human" }, { "content": "To find the greatest common divisor of 851 and 520, 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 1^18 modulo 3.", "role": "human" }, { "content": "Let's calculate 1^18 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": "Find the greatest common divisor of 784 and 892.", "role": "human" }, { "content": "To find the greatest common divisor of 784 and 892, 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 10^1 modulo 71.", "role": "human" }, { "content": "Let's calculate 10^1 modulo 71. \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 68.", "role": "human" }, { "content": "Let's calculate 13! modulo 68. \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 9! modulo 4.", "role": "human" }, { "content": "Let's calculate 9! modulo 4. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factorial ...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 20.", "role": "human" }, { "content": "Let's calculate 8! modulo 20. \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 372 and 814.", "role": "human" }, { "content": "To find the greatest common divisor of 372 and 814, 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 4.", "role": "human" }, { "content": "Let's calculate 14! modulo 4. \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": "Calculate 15^10 modulo 74.", "role": "human" }, { "content": "Let's calculate 15^10 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 6^5 modulo 78.", "role": "human" }, { "content": "Let's calculate 6^5 modulo 78. \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 58.", "role": "human" }, { "content": "Let's calculate 20! modulo 58. \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 14! modulo 98.", "role": "human" }, { "content": "Let's calculate 14! modulo 98. \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 14! modulo 90.", "role": "human" }, { "content": "Let's calculate 14! modulo 90. \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 1! modulo 40.", "role": "human" }, { "content": "Let's calculate 1! modulo 40. \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 6! modulo 37.", "role": "human" }, { "content": "Let's calculate 6! modulo 37. \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 11^13 modulo 58.", "role": "human" }, { "content": "Let's calculate 11^13 modulo 58. \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! modulo 11.", "role": "human" }, { "content": "Let's calculate 13! modulo 11. \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": "Find the greatest common divisor of 692 and 940.", "role": "human" }, { "content": "To find the greatest common divisor of 692 and 940, 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! modulo 67.", "role": "human" }, { "content": "Let's calculate 19! modulo 67. \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 12^12 modulo 97.", "role": "human" }, { "content": "Let's calculate 12^12 modulo 97. \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 8^20 modulo 23.", "role": "human" }, { "content": "Let's calculate 8^20 modulo 23. \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 1^12 modulo 95.", "role": "human" }, { "content": "Let's calculate 1^12 modulo 95. \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 1^14 modulo 4.", "role": "human" }, { "content": "Let's calculate 1^14 modulo 4. \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 952 and 325.", "role": "human" }, { "content": "To find the greatest common divisor of 952 and 325, 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 15^10 modulo 87.", "role": "human" }, { "content": "Let's calculate 15^10 modulo 87. \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 678 and 844.", "role": "human" }, { "content": "To find the greatest common divisor of 678 and 844, 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! modulo 7.", "role": "human" }, { "content": "Let's calculate 12! modulo 7. \n\nFirst, let's break this down:\n\n1) We need to calculate 12! (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 270 and 672.", "role": "human" }, { "content": "To find the greatest common divisor of 270 and 672, 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 28.", "role": "human" }, { "content": "Let's calculate 20! modulo 28. \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 8! modulo 85.", "role": "human" }, { "content": "Let's calculate 8! modulo 85. \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 4^1 modulo 32.", "role": "human" }, { "content": "Let's calculate 4^1 modulo 32. \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 257 and 742.", "role": "human" }, { "content": "To find the greatest common divisor of 257 and 742, 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 5^3 modulo 33.", "role": "human" }, { "content": "Let's calculate 5^3 modulo 33. \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 9^16 modulo 29.", "role": "human" }, { "content": "Let's calculate 9^16 modulo 29. \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! modulo 66.", "role": "human" }, { "content": "Let's calculate 19! modulo 66. \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 18! modulo 99.", "role": "human" }, { "content": "Let's calculate 18! modulo 99. \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": "Find the greatest common divisor of 919 and 158.", "role": "human" }, { "content": "To find the greatest common divisor of 919 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 18! modulo 78.", "role": "human" }, { "content": "Let's calculate 18! modulo 78. \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 92.", "role": "human" }, { "content": "Let's calculate 19! modulo 92. \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 177 and 538.", "role": "human" }, { "content": "To find the greatest common divisor of 177 and 538, 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 14.", "role": "human" }, { "content": "Let's calculate 1! modulo 14. \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 515 and 123.", "role": "human" }, { "content": "To find the greatest common divisor of 515 and 123, 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 76.", "role": "human" }, { "content": "Let's calculate 5! modulo 76. \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 4^3 modulo 18.", "role": "human" }, { "content": "Let's calculate 4^3 modulo 18. \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 173 and 868.", "role": "human" }, { "content": "To find the greatest common divisor of 173 and 868, 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 13^16 modulo 49.", "role": "human" }, { "content": "Let's calculate 13^16 modulo 49. \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 923 and 642.", "role": "human" }, { "content": "To find the greatest common divisor of 923 and 642, 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 12^11 modulo 23.", "role": "human" }, { "content": "Let's calculate 12^11 modulo 23. \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 71.", "role": "human" }, { "content": "Let's calculate 5! modulo 71. \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 20! modulo 62.", "role": "human" }, { "content": "Let's calculate 20! modulo 62. \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 192 and 77.", "role": "human" }, { "content": "To find the greatest common divisor of 192 and 77, 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 20^17 modulo 42.", "role": "human" }, { "content": "Let's calculate 20^17 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 18^5 modulo 89.", "role": "human" }, { "content": "Let's calculate 18^5 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": "Find the greatest common divisor of 624 and 424.", "role": "human" }, { "content": "To find the greatest common divisor of 624 and 424, 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 12^9 modulo 48.", "role": "human" }, { "content": "Let's calculate 12^9 modulo 48. \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 15! modulo 75.", "role": "human" }, { "content": "Let's calculate 15! modulo 75. \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 17! modulo 27.", "role": "human" }, { "content": "Let's calculate 17! modulo 27. \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 17^11 modulo 20.", "role": "human" }, { "content": "Let's calculate 17^11 modulo 20. \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 3^2 modulo 43.", "role": "human" }, { "content": "Let's calculate 3^2 modulo 43. \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 4^12 modulo 50.", "role": "human" }, { "content": "Let's calculate 4^12 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": "Calculate 15! modulo 48.", "role": "human" }, { "content": "Let's calculate 15! modulo 48. \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 13! modulo 92.", "role": "human" }, { "content": "Let's calculate 13! modulo 92. \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": "Find the greatest common divisor of 758 and 464.", "role": "human" }, { "content": "To find the greatest common divisor of 758 and 464, 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 668 and 481.", "role": "human" }, { "content": "To find the greatest common divisor of 668 and 481, 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 768 and 266.", "role": "human" }, { "content": "To find the greatest common divisor of 768 and 266, 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 390 and 566.", "role": "human" }, { "content": "To find the greatest common divisor of 390 and 566, 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 200 and 716.", "role": "human" }, { "content": "To find the greatest common divisor of 200 and 716, 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 20^4 modulo 12.", "role": "human" }, { "content": "Let's calculate 20^4 modulo 12. \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 262 and 2.", "role": "human" }, { "content": "To find the greatest common divisor of 262 and 2, we can use the Euclidean algor...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 708 and 397.", "role": "human" }, { "content": "To find the greatest common divisor of 708 and 397, 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 10^18 modulo 44.", "role": "human" }, { "content": "Let's calculate 10^18 modulo 44. \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 16^17 modulo 17.", "role": "human" }, { "content": "Let's calculate 16^17 modulo 17. \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 848 and 561.", "role": "human" }, { "content": "To find the greatest common divisor of 848 and 561, 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 249 and 794.", "role": "human" }, { "content": "To find the greatest common divisor of 249 and 794, 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 74.", "role": "human" }, { "content": "Let's calculate 1! modulo 74. \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 20! modulo 38.", "role": "human" }, { "content": "Let's calculate 20! modulo 38. \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 179 and 573.", "role": "human" }, { "content": "To find the greatest common divisor of 179 and 573, 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 42.", "role": "human" }, { "content": "Let's calculate 18! modulo 42. \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": "Find the greatest common divisor of 508 and 934.", "role": "human" }, { "content": "To find the greatest common divisor of 508 and 934, 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 194 and 444.", "role": "human" }, { "content": "To find the greatest common divisor of 194 and 444, 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 14^2 modulo 46.", "role": "human" }, { "content": "Let's calculate 14^2 modulo 46. \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 130 and 41.", "role": "human" }, { "content": "To find the greatest common divisor of 130 and 41, 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 11^15 modulo 81.", "role": "human" }, { "content": "Let's calculate 11^15 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": "Find the greatest common divisor of 853 and 640.", "role": "human" }, { "content": "To find the greatest common divisor of 853 and 640, 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 3^4 modulo 82.", "role": "human" }, { "content": "Let's calculate 3^4 modulo 82. \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 4! modulo 20.", "role": "human" }, { "content": "Let's calculate 4! modulo 20. \n\nFirst, let's break this down:\n\n1) We need to calculate 4! (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 745 and 861.", "role": "human" }, { "content": "To find the greatest common divisor of 745 and 861, 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! modulo 37.", "role": "human" }, { "content": "Let's calculate 2! modulo 37. \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 20! modulo 98.", "role": "human" }, { "content": "Let's calculate 20! modulo 98. \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 19! modulo 31.", "role": "human" }, { "content": "Let's calculate 19! modulo 31. \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 795 and 50.", "role": "human" }, { "content": "To find the greatest common divisor of 795 and 50, 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 10! modulo 41.", "role": "human" }, { "content": "Let's calculate 10! modulo 41. \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": "Calculate 13! modulo 2.", "role": "human" }, { "content": "Let's calculate 13! modulo 2. \n\nFirst, let's break this down:\n\n1) We need to calculate 13! (factori...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16! modulo 54.", "role": "human" }, { "content": "Let's calculate 16! modulo 54. \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": "Find the greatest common divisor of 704 and 694.", "role": "human" }, { "content": "To find the greatest common divisor of 704 and 694, 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 561 and 928.", "role": "human" }, { "content": "To find the greatest common divisor of 561 and 928, 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 884 and 261.", "role": "human" }, { "content": "To find the greatest common divisor of 884 and 261, 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 954 and 203.", "role": "human" }, { "content": "To find the greatest common divisor of 954 and 203, 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 520.", "role": "human" }, { "content": "To find the greatest common divisor of 851 and 520, 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 1^18 modulo 3.", "role": "human" }, { "content": "Let's calculate 1^18 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": "Find the greatest common divisor of 784 and 892.", "role": "human" }, { "content": "To find the greatest common divisor of 784 and 892, 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 10^1 modulo 71.", "role": "human" }, { "content": "Let's calculate 10^1 modulo 71. \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 68.", "role": "human" }, { "content": "Let's calculate 13! modulo 68. \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 9! modulo 4.", "role": "human" }, { "content": "Let's calculate 9! modulo 4. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factorial ...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 20.", "role": "human" }, { "content": "Let's calculate 8! modulo 20. \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 372 and 814.", "role": "human" }, { "content": "To find the greatest common divisor of 372 and 814, 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 4.", "role": "human" }, { "content": "Let's calculate 14! modulo 4. \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": "Calculate 15^10 modulo 74.", "role": "human" }, { "content": "Let's calculate 15^10 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 6^5 modulo 78.", "role": "human" }, { "content": "Let's calculate 6^5 modulo 78. \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 58.", "role": "human" }, { "content": "Let's calculate 20! modulo 58. \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 14! modulo 98.", "role": "human" }, { "content": "Let's calculate 14! modulo 98. \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 14! modulo 90.", "role": "human" }, { "content": "Let's calculate 14! modulo 90. \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 1! modulo 40.", "role": "human" }, { "content": "Let's calculate 1! modulo 40. \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 6! modulo 37.", "role": "human" }, { "content": "Let's calculate 6! modulo 37. \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 11^13 modulo 58.", "role": "human" }, { "content": "Let's calculate 11^13 modulo 58. \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! modulo 11.", "role": "human" }, { "content": "Let's calculate 13! modulo 11. \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": "Find the greatest common divisor of 692 and 940.", "role": "human" }, { "content": "To find the greatest common divisor of 692 and 940, 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! modulo 67.", "role": "human" }, { "content": "Let's calculate 19! modulo 67. \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 12^12 modulo 97.", "role": "human" }, { "content": "Let's calculate 12^12 modulo 97. \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 8^20 modulo 23.", "role": "human" }, { "content": "Let's calculate 8^20 modulo 23. \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 1^12 modulo 95.", "role": "human" }, { "content": "Let's calculate 1^12 modulo 95. \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 1^14 modulo 4.", "role": "human" }, { "content": "Let's calculate 1^14 modulo 4. \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 952 and 325.", "role": "human" }, { "content": "To find the greatest common divisor of 952 and 325, 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 15^10 modulo 87.", "role": "human" }, { "content": "Let's calculate 15^10 modulo 87. \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 678 and 844.", "role": "human" }, { "content": "To find the greatest common divisor of 678 and 844, 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! modulo 7.", "role": "human" }, { "content": "Let's calculate 12! modulo 7. \n\nFirst, let's break this down:\n\n1) We need to calculate 12! (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 270 and 672.", "role": "human" }, { "content": "To find the greatest common divisor of 270 and 672, 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 28.", "role": "human" }, { "content": "Let's calculate 20! modulo 28. \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 8! modulo 85.", "role": "human" }, { "content": "Let's calculate 8! modulo 85. \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 4^1 modulo 32.", "role": "human" }, { "content": "Let's calculate 4^1 modulo 32. \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 257 and 742.", "role": "human" }, { "content": "To find the greatest common divisor of 257 and 742, 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 5^3 modulo 33.", "role": "human" }, { "content": "Let's calculate 5^3 modulo 33. \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 9^16 modulo 29.", "role": "human" }, { "content": "Let's calculate 9^16 modulo 29. \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! modulo 66.", "role": "human" }, { "content": "Let's calculate 19! modulo 66. \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 18! modulo 99.", "role": "human" }, { "content": "Let's calculate 18! modulo 99. \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": "Find the greatest common divisor of 919 and 158.", "role": "human" }, { "content": "To find the greatest common divisor of 919 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 18! modulo 78.", "role": "human" }, { "content": "Let's calculate 18! modulo 78. \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 92.", "role": "human" }, { "content": "Let's calculate 19! modulo 92. \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 177 and 538.", "role": "human" }, { "content": "To find the greatest common divisor of 177 and 538, 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 14.", "role": "human" }, { "content": "Let's calculate 1! modulo 14. \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 515 and 123.", "role": "human" }, { "content": "To find the greatest common divisor of 515 and 123, 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 76.", "role": "human" }, { "content": "Let's calculate 5! modulo 76. \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 4^3 modulo 18.", "role": "human" }, { "content": "Let's calculate 4^3 modulo 18. \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 173 and 868.", "role": "human" }, { "content": "To find the greatest common divisor of 173 and 868, 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 13^16 modulo 49.", "role": "human" }, { "content": "Let's calculate 13^16 modulo 49. \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 923 and 642.", "role": "human" }, { "content": "To find the greatest common divisor of 923 and 642, 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 12^11 modulo 23.", "role": "human" }, { "content": "Let's calculate 12^11 modulo 23. \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 71.", "role": "human" }, { "content": "Let's calculate 5! modulo 71. \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 20! modulo 62.", "role": "human" }, { "content": "Let's calculate 20! modulo 62. \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 192 and 77.", "role": "human" }, { "content": "To find the greatest common divisor of 192 and 77, 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 20^17 modulo 42.", "role": "human" }, { "content": "Let's calculate 20^17 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 18^5 modulo 89.", "role": "human" }, { "content": "Let's calculate 18^5 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": "Find the greatest common divisor of 624 and 424.", "role": "human" }, { "content": "To find the greatest common divisor of 624 and 424, 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 12^9 modulo 48.", "role": "human" }, { "content": "Let's calculate 12^9 modulo 48. \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 15! modulo 75.", "role": "human" }, { "content": "Let's calculate 15! modulo 75. \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 17! modulo 27.", "role": "human" }, { "content": "Let's calculate 17! modulo 27. \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 17^11 modulo 20.", "role": "human" }, { "content": "Let's calculate 17^11 modulo 20. \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 3^2 modulo 43.", "role": "human" }, { "content": "Let's calculate 3^2 modulo 43. \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 4^12 modulo 50.", "role": "human" }, { "content": "Let's calculate 4^12 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": "Calculate 15! modulo 48.", "role": "human" }, { "content": "Let's calculate 15! modulo 48. \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 13! modulo 92.", "role": "human" }, { "content": "Let's calculate 13! modulo 92. \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": "Find the greatest common divisor of 758 and 464.", "role": "human" }, { "content": "To find the greatest common divisor of 758 and 464, 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 668 and 481.", "role": "human" }, { "content": "To find the greatest common divisor of 668 and 481, 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 768 and 266.", "role": "human" }, { "content": "To find the greatest common divisor of 768 and 266, 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 390 and 566.", "role": "human" }, { "content": "To find the greatest common divisor of 390 and 566, 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 200 and 716.", "role": "human" }, { "content": "To find the greatest common divisor of 200 and 716, 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 20^4 modulo 12.", "role": "human" }, { "content": "Let's calculate 20^4 modulo 12. \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 262 and 2.", "role": "human" }, { "content": "To find the greatest common divisor of 262 and 2, we can use the Euclidean algor...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 708 and 397.", "role": "human" }, { "content": "To find the greatest common divisor of 708 and 397, 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 10^18 modulo 44.", "role": "human" }, { "content": "Let's calculate 10^18 modulo 44. \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 16^17 modulo 17.", "role": "human" }, { "content": "Let's calculate 16^17 modulo 17. \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 848 and 561.", "role": "human" }, { "content": "To find the greatest common divisor of 848 and 561, 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 249 and 794.", "role": "human" }, { "content": "To find the greatest common divisor of 249 and 794, 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 74.", "role": "human" }, { "content": "Let's calculate 1! modulo 74. \n\nFirst, let's break this down:\n\n1) We need to calculate 1! (factoria...