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

messages listlengths 3 3
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 382 and 157.", "role": "human" }, { "content": "To find the greatest common divisor of 382 and 157, 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! modulo 59.", "role": "human" }, { "content": "Let's calculate 3! modulo 59. \n\nFirst, let's break this down:\n\n1) We need to calculate 3! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17! modulo 68.", "role": "human" }, { "content": "Let's calculate 17! modulo 68. \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 2^17 modulo 37.", "role": "human" }, { "content": "Let's calculate 2^17 modulo 37. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^5 modulo 5.", "role": "human" }, { "content": "Let's calculate 2^5 modulo 5. \n\nTo do this efficiently, we can use the concept of modular exponentiat...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 141 and 802.", "role": "human" }, { "content": "To find the greatest common divisor of 141 and 802, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 917 and 712.", "role": "human" }, { "content": "To find the greatest common divisor of 917 and 712, 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 19^2 modulo 75.", "role": "human" }, { "content": "Let's calculate 19^2 modulo 75. \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 17^8 modulo 58.", "role": "human" }, { "content": "Let's calculate 17^8 modulo 58. \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 7! modulo 12.", "role": "human" }, { "content": "Let's calculate 7! modulo 12. \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 95.", "role": "human" }, { "content": "Let's calculate 13! modulo 95. \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 16 and 840.", "role": "human" }, { "content": "To find the greatest common divisor of 16 and 840, 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 192 and 424.", "role": "human" }, { "content": "To find the greatest common divisor of 192 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": "Find the greatest common divisor of 31 and 125.", "role": "human" }, { "content": "To find the greatest common divisor of 31 and 125, 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 6! modulo 67.", "role": "human" }, { "content": "Let's calculate 6! modulo 67. \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 2! modulo 9.", "role": "human" }, { "content": "Let's calculate 2! modulo 9. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factorial ...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15^20 modulo 64.", "role": "human" }, { "content": "Let's calculate 15^20 modulo 64. \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 843 and 332.", "role": "human" }, { "content": "To find the greatest common divisor of 843 and 332, 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 644 and 716.", "role": "human" }, { "content": "To find the greatest common divisor of 644 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 18! modulo 72.", "role": "human" }, { "content": "Let's calculate 18! modulo 72. \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 14^1 modulo 32.", "role": "human" }, { "content": "Let's calculate 14^1 modulo 32. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5! modulo 53.", "role": "human" }, { "content": "Let's calculate 5! modulo 53. \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 422 and 703.", "role": "human" }, { "content": "To find the greatest common divisor of 422 and 703, 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 94.", "role": "human" }, { "content": "Let's calculate 16! modulo 94. \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 166 and 504.", "role": "human" }, { "content": "To find the greatest common divisor of 166 and 504, 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 13^3 modulo 72.", "role": "human" }, { "content": "Let's calculate 13^3 modulo 72. \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 868 and 40.", "role": "human" }, { "content": "To find the greatest common divisor of 868 and 40, 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 3^12 modulo 23.", "role": "human" }, { "content": "Let's calculate 3^12 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 3! modulo 62.", "role": "human" }, { "content": "Let's calculate 3! modulo 62. \n\nFirst, let's break this down:\n\n1) We need to calculate 3! (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 551 and 580.", "role": "human" }, { "content": "To find the greatest common divisor of 551 and 580, 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 5^2 modulo 97.", "role": "human" }, { "content": "Let's calculate 5^2 modulo 97. \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 249 and 928.", "role": "human" }, { "content": "To find the greatest common divisor of 249 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 107 and 672.", "role": "human" }, { "content": "To find the greatest common divisor of 107 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 12^7 modulo 52.", "role": "human" }, { "content": "Let's calculate 12^7 modulo 52. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18! modulo 86.", "role": "human" }, { "content": "Let's calculate 18! modulo 86. \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 422 and 238.", "role": "human" }, { "content": "To find the greatest common divisor of 422 and 238, 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 10 and 474.", "role": "human" }, { "content": "To find the greatest common divisor of 10 and 474, 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 883 and 475.", "role": "human" }, { "content": "To find the greatest common divisor of 883 and 475, 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 13^4 modulo 55.", "role": "human" }, { "content": "Let's calculate 13^4 modulo 55. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 815 and 29.", "role": "human" }, { "content": "To find the greatest common divisor of 815 and 29, 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 630 and 295.", "role": "human" }, { "content": "To find the greatest common divisor of 630 and 295, 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 517 and 690.", "role": "human" }, { "content": "To find the greatest common divisor of 517 and 690, 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 44 and 135.", "role": "human" }, { "content": "To find the greatest common divisor of 44 and 135, 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 1! modulo 93.", "role": "human" }, { "content": "Let's calculate 1! modulo 93. \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 9^9 modulo 86.", "role": "human" }, { "content": "Let's calculate 9^9 modulo 86. \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 506 and 163.", "role": "human" }, { "content": "To find the greatest common divisor of 506 and 163, 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 8^7 modulo 34.", "role": "human" }, { "content": "Let's calculate 8^7 modulo 34. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 14^4 modulo 58.", "role": "human" }, { "content": "Let's calculate 14^4 modulo 58. \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 11.", "role": "human" }, { "content": "Let's calculate 19! modulo 11. \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 14^4 modulo 51.", "role": "human" }, { "content": "Let's calculate 14^4 modulo 51. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 995 and 783.", "role": "human" }, { "content": "To find the greatest common divisor of 995 and 783, 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! modulo 23.", "role": "human" }, { "content": "Let's calculate 13! modulo 23. \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 12! modulo 78.", "role": "human" }, { "content": "Let's calculate 12! modulo 78. \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 971 and 291.", "role": "human" }, { "content": "To find the greatest common divisor of 971 and 291, 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! modulo 43.", "role": "human" }, { "content": "Let's calculate 15! modulo 43. \n\nFirst, let's break this down:\n\n1) We need to calculate 15! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 820 and 439.", "role": "human" }, { "content": "To find the greatest common divisor of 820 and 439, 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 704 and 280.", "role": "human" }, { "content": "To find the greatest common divisor of 704 and 280, 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 15.", "role": "human" }, { "content": "Let's calculate 17! modulo 15. \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 15^12 modulo 48.", "role": "human" }, { "content": "Let's calculate 15^12 modulo 48. \n\nTo do this efficiently, we can use the concept of modular expon...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 78 and 614.", "role": "human" }, { "content": "To find the greatest common divisor of 78 and 614, 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 883 and 628.", "role": "human" }, { "content": "To find the greatest common divisor of 883 and 628, 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 586 and 797.", "role": "human" }, { "content": "To find the greatest common divisor of 586 and 797, 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 777 and 547.", "role": "human" }, { "content": "To find the greatest common divisor of 777 and 547, 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 17^4 modulo 50.", "role": "human" }, { "content": "Let's calculate 17^4 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 11! modulo 8.", "role": "human" }, { "content": "Let's calculate 11! modulo 8. \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": "Find the greatest common divisor of 124 and 215.", "role": "human" }, { "content": "To find the greatest common divisor of 124 and 215, 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 82.", "role": "human" }, { "content": "Let's calculate 20! modulo 82. \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 309 and 449.", "role": "human" }, { "content": "To find the greatest common divisor of 309 and 449, 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 587 and 381.", "role": "human" }, { "content": "To find the greatest common divisor of 587 and 381, 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 443 and 482.", "role": "human" }, { "content": "To find the greatest common divisor of 443 and 482, 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 877 and 306.", "role": "human" }, { "content": "To find the greatest common divisor of 877 and 306, 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 18.", "role": "human" }, { "content": "Let's calculate 16! modulo 18. \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 3^17 modulo 44.", "role": "human" }, { "content": "Let's calculate 3^17 modulo 44. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^15 modulo 34.", "role": "human" }, { "content": "Let's calculate 5^15 modulo 34. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20^6 modulo 94.", "role": "human" }, { "content": "Let's calculate 20^6 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": "Calculate 15^10 modulo 99.", "role": "human" }, { "content": "Let's calculate 15^10 modulo 99. \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! modulo 94.", "role": "human" }, { "content": "Let's calculate 3! modulo 94. \n\nFirst, let's break this down:\n\n1) We need to calculate 3! (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 991 and 664.", "role": "human" }, { "content": "To find the greatest common divisor of 991 and 664, 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 5^19 modulo 52.", "role": "human" }, { "content": "Let's calculate 5^19 modulo 52. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 967 and 955.", "role": "human" }, { "content": "To find the greatest common divisor of 967 and 955, 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 66.", "role": "human" }, { "content": "Let's calculate 1! modulo 66. \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 614 and 763.", "role": "human" }, { "content": "To find the greatest common divisor of 614 and 763, 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! 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 1! modulo 54.", "role": "human" }, { "content": "Let's calculate 1! modulo 54. \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 10^14 modulo 34.", "role": "human" }, { "content": "Let's calculate 10^14 modulo 34. \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 953 and 307.", "role": "human" }, { "content": "To find the greatest common divisor of 953 and 307, 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 1^11 modulo 8.", "role": "human" }, { "content": "Let's calculate 1^11 modulo 8. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^11 modulo 59.", "role": "human" }, { "content": "Let's calculate 1^11 modulo 59. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3^13 modulo 29.", "role": "human" }, { "content": "Let's calculate 3^13 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 2^6 modulo 38.", "role": "human" }, { "content": "Let's calculate 2^6 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": "Calculate 16! modulo 36.", "role": "human" }, { "content": "Let's calculate 16! modulo 36. \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 128 and 784.", "role": "human" }, { "content": "To find the greatest common divisor of 128 and 784, 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 700 and 392.", "role": "human" }, { "content": "To find the greatest common divisor of 700 and 392, 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 838 and 209.", "role": "human" }, { "content": "To find the greatest common divisor of 838 and 209, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 13^10 modulo 10.", "role": "human" }, { "content": "Let's calculate 13^10 modulo 10. \n\nTo do this efficiently, we can use the concept of modular expon...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15^16 modulo 6.", "role": "human" }, { "content": "Let's calculate 15^16 modulo 6. \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 983 and 971.", "role": "human" }, { "content": "To find the greatest common divisor of 983 and 971, 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 17.", "role": "human" }, { "content": "Let's calculate 12! modulo 17. \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 65 and 33.", "role": "human" }, { "content": "To find the greatest common divisor of 65 and 33, 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 119 and 560.", "role": "human" }, { "content": "To find the greatest common divisor of 119 and 560, 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 382 and 157.", "role": "human" }, { "content": "To find the greatest common divisor of 382 and 157, 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! modulo 59.", "role": "human" }, { "content": "Let's calculate 3! modulo 59. \n\nFirst, let's break this down:\n\n1) We need to calculate 3! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17! modulo 68.", "role": "human" }, { "content": "Let's calculate 17! modulo 68. \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 2^17 modulo 37.", "role": "human" }, { "content": "Let's calculate 2^17 modulo 37. \n\nTo do this efficiently, we can use the concept of modular exponen...

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

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 141 and 802.", "role": "human" }, { "content": "To find the greatest common divisor of 141 and 802, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 917 and 712.", "role": "human" }, { "content": "To find the greatest common divisor of 917 and 712, 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 19^2 modulo 75.", "role": "human" }, { "content": "Let's calculate 19^2 modulo 75. \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 17^8 modulo 58.", "role": "human" }, { "content": "Let's calculate 17^8 modulo 58. \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 7! modulo 12.", "role": "human" }, { "content": "Let's calculate 7! modulo 12. \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 95.", "role": "human" }, { "content": "Let's calculate 13! modulo 95. \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 16 and 840.", "role": "human" }, { "content": "To find the greatest common divisor of 16 and 840, 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 192 and 424.", "role": "human" }, { "content": "To find the greatest common divisor of 192 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": "Find the greatest common divisor of 31 and 125.", "role": "human" }, { "content": "To find the greatest common divisor of 31 and 125, 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 6! modulo 67.", "role": "human" }, { "content": "Let's calculate 6! modulo 67. \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 2! modulo 9.", "role": "human" }, { "content": "Let's calculate 2! modulo 9. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factorial ...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15^20 modulo 64.", "role": "human" }, { "content": "Let's calculate 15^20 modulo 64. \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 843 and 332.", "role": "human" }, { "content": "To find the greatest common divisor of 843 and 332, 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 644 and 716.", "role": "human" }, { "content": "To find the greatest common divisor of 644 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 18! modulo 72.", "role": "human" }, { "content": "Let's calculate 18! modulo 72. \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 14^1 modulo 32.", "role": "human" }, { "content": "Let's calculate 14^1 modulo 32. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5! modulo 53.", "role": "human" }, { "content": "Let's calculate 5! modulo 53. \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 422 and 703.", "role": "human" }, { "content": "To find the greatest common divisor of 422 and 703, 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 94.", "role": "human" }, { "content": "Let's calculate 16! modulo 94. \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 166 and 504.", "role": "human" }, { "content": "To find the greatest common divisor of 166 and 504, 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 13^3 modulo 72.", "role": "human" }, { "content": "Let's calculate 13^3 modulo 72. \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 868 and 40.", "role": "human" }, { "content": "To find the greatest common divisor of 868 and 40, 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 3^12 modulo 23.", "role": "human" }, { "content": "Let's calculate 3^12 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 3! modulo 62.", "role": "human" }, { "content": "Let's calculate 3! modulo 62. \n\nFirst, let's break this down:\n\n1) We need to calculate 3! (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 551 and 580.", "role": "human" }, { "content": "To find the greatest common divisor of 551 and 580, 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 5^2 modulo 97.", "role": "human" }, { "content": "Let's calculate 5^2 modulo 97. \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 249 and 928.", "role": "human" }, { "content": "To find the greatest common divisor of 249 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 107 and 672.", "role": "human" }, { "content": "To find the greatest common divisor of 107 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 12^7 modulo 52.", "role": "human" }, { "content": "Let's calculate 12^7 modulo 52. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18! modulo 86.", "role": "human" }, { "content": "Let's calculate 18! modulo 86. \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 422 and 238.", "role": "human" }, { "content": "To find the greatest common divisor of 422 and 238, 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 10 and 474.", "role": "human" }, { "content": "To find the greatest common divisor of 10 and 474, 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 883 and 475.", "role": "human" }, { "content": "To find the greatest common divisor of 883 and 475, 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 13^4 modulo 55.", "role": "human" }, { "content": "Let's calculate 13^4 modulo 55. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 815 and 29.", "role": "human" }, { "content": "To find the greatest common divisor of 815 and 29, 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 630 and 295.", "role": "human" }, { "content": "To find the greatest common divisor of 630 and 295, 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 517 and 690.", "role": "human" }, { "content": "To find the greatest common divisor of 517 and 690, 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 44 and 135.", "role": "human" }, { "content": "To find the greatest common divisor of 44 and 135, 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 1! modulo 93.", "role": "human" }, { "content": "Let's calculate 1! modulo 93. \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 9^9 modulo 86.", "role": "human" }, { "content": "Let's calculate 9^9 modulo 86. \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 506 and 163.", "role": "human" }, { "content": "To find the greatest common divisor of 506 and 163, 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 8^7 modulo 34.", "role": "human" }, { "content": "Let's calculate 8^7 modulo 34. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 14^4 modulo 58.", "role": "human" }, { "content": "Let's calculate 14^4 modulo 58. \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 11.", "role": "human" }, { "content": "Let's calculate 19! modulo 11. \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 14^4 modulo 51.", "role": "human" }, { "content": "Let's calculate 14^4 modulo 51. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 995 and 783.", "role": "human" }, { "content": "To find the greatest common divisor of 995 and 783, 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! modulo 23.", "role": "human" }, { "content": "Let's calculate 13! modulo 23. \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 12! modulo 78.", "role": "human" }, { "content": "Let's calculate 12! modulo 78. \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 971 and 291.", "role": "human" }, { "content": "To find the greatest common divisor of 971 and 291, 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! modulo 43.", "role": "human" }, { "content": "Let's calculate 15! modulo 43. \n\nFirst, let's break this down:\n\n1) We need to calculate 15! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 820 and 439.", "role": "human" }, { "content": "To find the greatest common divisor of 820 and 439, 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 704 and 280.", "role": "human" }, { "content": "To find the greatest common divisor of 704 and 280, 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 15.", "role": "human" }, { "content": "Let's calculate 17! modulo 15. \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 15^12 modulo 48.", "role": "human" }, { "content": "Let's calculate 15^12 modulo 48. \n\nTo do this efficiently, we can use the concept of modular expon...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 78 and 614.", "role": "human" }, { "content": "To find the greatest common divisor of 78 and 614, 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 883 and 628.", "role": "human" }, { "content": "To find the greatest common divisor of 883 and 628, 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 586 and 797.", "role": "human" }, { "content": "To find the greatest common divisor of 586 and 797, 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 777 and 547.", "role": "human" }, { "content": "To find the greatest common divisor of 777 and 547, 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 17^4 modulo 50.", "role": "human" }, { "content": "Let's calculate 17^4 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 11! modulo 8.", "role": "human" }, { "content": "Let's calculate 11! modulo 8. \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": "Find the greatest common divisor of 124 and 215.", "role": "human" }, { "content": "To find the greatest common divisor of 124 and 215, 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 82.", "role": "human" }, { "content": "Let's calculate 20! modulo 82. \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 309 and 449.", "role": "human" }, { "content": "To find the greatest common divisor of 309 and 449, 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 587 and 381.", "role": "human" }, { "content": "To find the greatest common divisor of 587 and 381, 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 443 and 482.", "role": "human" }, { "content": "To find the greatest common divisor of 443 and 482, 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 877 and 306.", "role": "human" }, { "content": "To find the greatest common divisor of 877 and 306, 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 18.", "role": "human" }, { "content": "Let's calculate 16! modulo 18. \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 3^17 modulo 44.", "role": "human" }, { "content": "Let's calculate 3^17 modulo 44. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5^15 modulo 34.", "role": "human" }, { "content": "Let's calculate 5^15 modulo 34. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20^6 modulo 94.", "role": "human" }, { "content": "Let's calculate 20^6 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": "Calculate 15^10 modulo 99.", "role": "human" }, { "content": "Let's calculate 15^10 modulo 99. \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! modulo 94.", "role": "human" }, { "content": "Let's calculate 3! modulo 94. \n\nFirst, let's break this down:\n\n1) We need to calculate 3! (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 991 and 664.", "role": "human" }, { "content": "To find the greatest common divisor of 991 and 664, 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 5^19 modulo 52.", "role": "human" }, { "content": "Let's calculate 5^19 modulo 52. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 967 and 955.", "role": "human" }, { "content": "To find the greatest common divisor of 967 and 955, 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 66.", "role": "human" }, { "content": "Let's calculate 1! modulo 66. \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 614 and 763.", "role": "human" }, { "content": "To find the greatest common divisor of 614 and 763, 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! 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 1! modulo 54.", "role": "human" }, { "content": "Let's calculate 1! modulo 54. \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 10^14 modulo 34.", "role": "human" }, { "content": "Let's calculate 10^14 modulo 34. \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 953 and 307.", "role": "human" }, { "content": "To find the greatest common divisor of 953 and 307, 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 1^11 modulo 8.", "role": "human" }, { "content": "Let's calculate 1^11 modulo 8. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^11 modulo 59.", "role": "human" }, { "content": "Let's calculate 1^11 modulo 59. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3^13 modulo 29.", "role": "human" }, { "content": "Let's calculate 3^13 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 2^6 modulo 38.", "role": "human" }, { "content": "Let's calculate 2^6 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": "Calculate 16! modulo 36.", "role": "human" }, { "content": "Let's calculate 16! modulo 36. \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 128 and 784.", "role": "human" }, { "content": "To find the greatest common divisor of 128 and 784, 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 700 and 392.", "role": "human" }, { "content": "To find the greatest common divisor of 700 and 392, 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 838 and 209.", "role": "human" }, { "content": "To find the greatest common divisor of 838 and 209, we can use the Euclidean a...

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

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15^16 modulo 6.", "role": "human" }, { "content": "Let's calculate 15^16 modulo 6. \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 983 and 971.", "role": "human" }, { "content": "To find the greatest common divisor of 983 and 971, 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 17.", "role": "human" }, { "content": "Let's calculate 12! modulo 17. \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 65 and 33.", "role": "human" }, { "content": "To find the greatest common divisor of 65 and 33, 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 119 and 560.", "role": "human" }, { "content": "To find the greatest common divisor of 119 and 560, we can use the Euclidean a...