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 9! modulo 58.", "role": "human" }, { "content": "Let's calculate 9! modulo 58. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 806 and 832.", "role": "human" }, { "content": "To find the greatest common divisor of 806 and 832, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^18 modulo 71.", "role": "human" }, { "content": "Let's calculate 1^18 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": "Find the greatest common divisor of 4 and 552.", "role": "human" }, { "content": "To find the greatest common divisor of 4 and 552, we can use the Euclidean algor...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3! modulo 15.", "role": "human" }, { "content": "Let's calculate 3! modulo 15. \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 741 and 676.", "role": "human" }, { "content": "To find the greatest common divisor of 741 and 676, 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 17^1 modulo 86.", "role": "human" }, { "content": "Let's calculate 17^1 modulo 86. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16^7 modulo 22.", "role": "human" }, { "content": "Let's calculate 16^7 modulo 22. \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 17^18 modulo 9.", "role": "human" }, { "content": "Let's calculate 17^18 modulo 9. \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 819 and 781.", "role": "human" }, { "content": "To find the greatest common divisor of 819 and 781, 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 305 and 685.", "role": "human" }, { "content": "To find the greatest common divisor of 305 and 685, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17! modulo 14.", "role": "human" }, { "content": "Let's calculate 17! modulo 14. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 366 and 937.", "role": "human" }, { "content": "To find the greatest common divisor of 366 and 937, 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 871 and 738.", "role": "human" }, { "content": "To find the greatest common divisor of 871 and 738, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 96.", "role": "human" }, { "content": "Let's calculate 6! modulo 96. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 454 and 294.", "role": "human" }, { "content": "To find the greatest common divisor of 454 and 294, 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 82.", "role": "human" }, { "content": "Let's calculate 2! modulo 82. \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 14^8 modulo 16.", "role": "human" }, { "content": "Let's calculate 14^8 modulo 16. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 94 and 17.", "role": "human" }, { "content": "To find the greatest common divisor of 94 and 17, 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 479 and 867.", "role": "human" }, { "content": "To find the greatest common divisor of 479 and 867, 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 15^16 modulo 64.", "role": "human" }, { "content": "Let's calculate 15^16 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 141 and 943.", "role": "human" }, { "content": "To find the greatest common divisor of 141 and 943, 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 96.", "role": "human" }, { "content": "Let's calculate 18! modulo 96. \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 366 and 627.", "role": "human" }, { "content": "To find the greatest common divisor of 366 and 627, 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 106 and 201.", "role": "human" }, { "content": "To find the greatest common divisor of 106 and 201, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11! modulo 15.", "role": "human" }, { "content": "Let's calculate 11! modulo 15. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 376 and 235.", "role": "human" }, { "content": "To find the greatest common divisor of 376 and 235, 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 5.", "role": "human" }, { "content": "Let's calculate 18! modulo 5. \n\nFirst, let's break this down:\n\n1) We need to calculate 18! (factori...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8^6 modulo 35.", "role": "human" }, { "content": "Let's calculate 8^6 modulo 35. \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 542 and 351.", "role": "human" }, { "content": "To find the greatest common divisor of 542 and 351, 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 883 and 404.", "role": "human" }, { "content": "To find the greatest common divisor of 883 and 404, 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 16.", "role": "human" }, { "content": "Let's calculate 2! modulo 16. \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 17! modulo 62.", "role": "human" }, { "content": "Let's calculate 17! modulo 62. \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": "Find the greatest common divisor of 277 and 246.", "role": "human" }, { "content": "To find the greatest common divisor of 277 and 246, 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 14^9 modulo 31.", "role": "human" }, { "content": "Let's calculate 14^9 modulo 31. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9! modulo 38.", "role": "human" }, { "content": "Let's calculate 9! modulo 38. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5! modulo 69.", "role": "human" }, { "content": "Let's calculate 5! modulo 69. \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 183 and 656.", "role": "human" }, { "content": "To find the greatest common divisor of 183 and 656, 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 66.", "role": "human" }, { "content": "Let's calculate 5! modulo 66. \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 9^3 modulo 10.", "role": "human" }, { "content": "Let's calculate 9^3 modulo 10. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 845 and 351.", "role": "human" }, { "content": "To find the greatest common divisor of 845 and 351, 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 13.", "role": "human" }, { "content": "Let's calculate 5! modulo 13. \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 865 and 900.", "role": "human" }, { "content": "To find the greatest common divisor of 865 and 900, 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 3^10 modulo 60.", "role": "human" }, { "content": "Let's calculate 3^10 modulo 60. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 31.", "role": "human" }, { "content": "Let's calculate 10! modulo 31. \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 9^16 modulo 61.", "role": "human" }, { "content": "Let's calculate 9^16 modulo 61. \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 75.", "role": "human" }, { "content": "Let's calculate 11! modulo 75. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15^4 modulo 97.", "role": "human" }, { "content": "Let's calculate 15^4 modulo 97. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6^1 modulo 83.", "role": "human" }, { "content": "Let's calculate 6^1 modulo 83. \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 18! modulo 73.", "role": "human" }, { "content": "Let's calculate 18! modulo 73. \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 18 and 51.", "role": "human" }, { "content": "To find the greatest common divisor of 18 and 51, we can use the Euclidean algor...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^20 modulo 17.", "role": "human" }, { "content": "Let's calculate 1^20 modulo 17. \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 4^11 modulo 83.", "role": "human" }, { "content": "Let's calculate 4^11 modulo 83. \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 15^14 modulo 32.", "role": "human" }, { "content": "Let's calculate 15^14 modulo 32. \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 416 and 275.", "role": "human" }, { "content": "To find the greatest common divisor of 416 and 275, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6^15 modulo 64.", "role": "human" }, { "content": "Let's calculate 6^15 modulo 64. \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 85.", "role": "human" }, { "content": "Let's calculate 7! modulo 85. \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": "Find the greatest common divisor of 246 and 748.", "role": "human" }, { "content": "To find the greatest common divisor of 246 and 748, 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 16^4 modulo 96.", "role": "human" }, { "content": "Let's calculate 16^4 modulo 96. \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 11^4 modulo 84.", "role": "human" }, { "content": "Let's calculate 11^4 modulo 84. \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 546 and 635.", "role": "human" }, { "content": "To find the greatest common divisor of 546 and 635, 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 31.", "role": "human" }, { "content": "Let's calculate 17! modulo 31. \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 12! modulo 75.", "role": "human" }, { "content": "Let's calculate 12! modulo 75. \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": "Calculate 15^1 modulo 35.", "role": "human" }, { "content": "Let's calculate 15^1 modulo 35. \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 20^10 modulo 82.", "role": "human" }, { "content": "Let's calculate 20^10 modulo 82. \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 16^16 modulo 59.", "role": "human" }, { "content": "Let's calculate 16^16 modulo 59. \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 409 and 874.", "role": "human" }, { "content": "To find the greatest common divisor of 409 and 874, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 4! modulo 76.", "role": "human" }, { "content": "Let's calculate 4! modulo 76. \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": "Calculate 13! modulo 73.", "role": "human" }, { "content": "Let's calculate 13! modulo 73. \n\nFirst, let's break this down:\n\n1) We need to calculate 13! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16^4 modulo 72.", "role": "human" }, { "content": "Let's calculate 16^4 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": "Calculate 7! modulo 16.", "role": "human" }, { "content": "Let's calculate 7! modulo 16. \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 4! modulo 81.", "role": "human" }, { "content": "Let's calculate 4! modulo 81. \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": "Calculate 1! modulo 35.", "role": "human" }, { "content": "Let's calculate 1! modulo 35. \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 13! modulo 70.", "role": "human" }, { "content": "Let's calculate 13! modulo 70. \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 11^10 modulo 22.", "role": "human" }, { "content": "Let's calculate 11^10 modulo 22. \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 10! modulo 13.", "role": "human" }, { "content": "Let's calculate 10! modulo 13. \n\nFirst, let's break this down:\n\n1) We need to calculate 10! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 222 and 824.", "role": "human" }, { "content": "To find the greatest common divisor of 222 and 824, 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 176 and 44.", "role": "human" }, { "content": "To find the greatest common divisor of 176 and 44, 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 5! modulo 93.", "role": "human" }, { "content": "Let's calculate 5! modulo 93. \n\nFirst, let's break this down:\n\n1) We need to calculate 5! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 134 and 427.", "role": "human" }, { "content": "To find the greatest common divisor of 134 and 427, 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 17^15 modulo 38.", "role": "human" }, { "content": "Let's calculate 17^15 modulo 38. \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 19^5 modulo 6.", "role": "human" }, { "content": "Let's calculate 19^5 modulo 6. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17! modulo 28.", "role": "human" }, { "content": "Let's calculate 17! modulo 28. \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 20! modulo 21.", "role": "human" }, { "content": "Let's calculate 20! modulo 21. \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 539 and 800.", "role": "human" }, { "content": "To find the greatest common divisor of 539 and 800, 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 732 and 456.", "role": "human" }, { "content": "To find the greatest common divisor of 732 and 456, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 21.", "role": "human" }, { "content": "Let's calculate 6! modulo 21. \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 1! modulo 44.", "role": "human" }, { "content": "Let's calculate 1! modulo 44. \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 731 and 140.", "role": "human" }, { "content": "To find the greatest common divisor of 731 and 140, 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 12^3 modulo 4.", "role": "human" }, { "content": "Let's calculate 12^3 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": "Calculate 20^6 modulo 5.", "role": "human" }, { "content": "Let's calculate 20^6 modulo 5. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19^16 modulo 79.", "role": "human" }, { "content": "Let's calculate 19^16 modulo 79. \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 19^7 modulo 83.", "role": "human" }, { "content": "Let's calculate 19^7 modulo 83. \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 598 and 743.", "role": "human" }, { "content": "To find the greatest common divisor of 598 and 743, 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 714 and 554.", "role": "human" }, { "content": "To find the greatest common divisor of 714 and 554, 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 843 and 3.", "role": "human" }, { "content": "To find the greatest common divisor of 843 and 3, we can use the Euclidean algor...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^17 modulo 34.", "role": "human" }, { "content": "Let's calculate 7^17 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 3! modulo 67.", "role": "human" }, { "content": "Let's calculate 3! modulo 67. \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 294 and 553.", "role": "human" }, { "content": "To find the greatest common divisor of 294 and 553, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11! modulo 22.", "role": "human" }, { "content": "Let's calculate 11! modulo 22. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9! modulo 58.", "role": "human" }, { "content": "Let's calculate 9! modulo 58. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 806 and 832.", "role": "human" }, { "content": "To find the greatest common divisor of 806 and 832, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^18 modulo 71.", "role": "human" }, { "content": "Let's calculate 1^18 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": "Find the greatest common divisor of 4 and 552.", "role": "human" }, { "content": "To find the greatest common divisor of 4 and 552, we can use the Euclidean algor...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3! modulo 15.", "role": "human" }, { "content": "Let's calculate 3! modulo 15. \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 741 and 676.", "role": "human" }, { "content": "To find the greatest common divisor of 741 and 676, 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 17^1 modulo 86.", "role": "human" }, { "content": "Let's calculate 17^1 modulo 86. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16^7 modulo 22.", "role": "human" }, { "content": "Let's calculate 16^7 modulo 22. \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 17^18 modulo 9.", "role": "human" }, { "content": "Let's calculate 17^18 modulo 9. \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 819 and 781.", "role": "human" }, { "content": "To find the greatest common divisor of 819 and 781, 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 305 and 685.", "role": "human" }, { "content": "To find the greatest common divisor of 305 and 685, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17! modulo 14.", "role": "human" }, { "content": "Let's calculate 17! modulo 14. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 366 and 937.", "role": "human" }, { "content": "To find the greatest common divisor of 366 and 937, 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 871 and 738.", "role": "human" }, { "content": "To find the greatest common divisor of 871 and 738, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 96.", "role": "human" }, { "content": "Let's calculate 6! modulo 96. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 454 and 294.", "role": "human" }, { "content": "To find the greatest common divisor of 454 and 294, 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 82.", "role": "human" }, { "content": "Let's calculate 2! modulo 82. \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 14^8 modulo 16.", "role": "human" }, { "content": "Let's calculate 14^8 modulo 16. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 94 and 17.", "role": "human" }, { "content": "To find the greatest common divisor of 94 and 17, 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 479 and 867.", "role": "human" }, { "content": "To find the greatest common divisor of 479 and 867, 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 15^16 modulo 64.", "role": "human" }, { "content": "Let's calculate 15^16 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 141 and 943.", "role": "human" }, { "content": "To find the greatest common divisor of 141 and 943, 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 96.", "role": "human" }, { "content": "Let's calculate 18! modulo 96. \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 366 and 627.", "role": "human" }, { "content": "To find the greatest common divisor of 366 and 627, 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 106 and 201.", "role": "human" }, { "content": "To find the greatest common divisor of 106 and 201, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11! modulo 15.", "role": "human" }, { "content": "Let's calculate 11! modulo 15. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 376 and 235.", "role": "human" }, { "content": "To find the greatest common divisor of 376 and 235, 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 5.", "role": "human" }, { "content": "Let's calculate 18! modulo 5. \n\nFirst, let's break this down:\n\n1) We need to calculate 18! (factori...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8^6 modulo 35.", "role": "human" }, { "content": "Let's calculate 8^6 modulo 35. \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 542 and 351.", "role": "human" }, { "content": "To find the greatest common divisor of 542 and 351, 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 883 and 404.", "role": "human" }, { "content": "To find the greatest common divisor of 883 and 404, 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 16.", "role": "human" }, { "content": "Let's calculate 2! modulo 16. \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 17! modulo 62.", "role": "human" }, { "content": "Let's calculate 17! modulo 62. \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": "Find the greatest common divisor of 277 and 246.", "role": "human" }, { "content": "To find the greatest common divisor of 277 and 246, 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 14^9 modulo 31.", "role": "human" }, { "content": "Let's calculate 14^9 modulo 31. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9! modulo 38.", "role": "human" }, { "content": "Let's calculate 9! modulo 38. \n\nFirst, let's break this down:\n\n1) We need to calculate 9! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 5! modulo 69.", "role": "human" }, { "content": "Let's calculate 5! modulo 69. \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 183 and 656.", "role": "human" }, { "content": "To find the greatest common divisor of 183 and 656, 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 66.", "role": "human" }, { "content": "Let's calculate 5! modulo 66. \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 9^3 modulo 10.", "role": "human" }, { "content": "Let's calculate 9^3 modulo 10. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 845 and 351.", "role": "human" }, { "content": "To find the greatest common divisor of 845 and 351, 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 13.", "role": "human" }, { "content": "Let's calculate 5! modulo 13. \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 865 and 900.", "role": "human" }, { "content": "To find the greatest common divisor of 865 and 900, 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 3^10 modulo 60.", "role": "human" }, { "content": "Let's calculate 3^10 modulo 60. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 31.", "role": "human" }, { "content": "Let's calculate 10! modulo 31. \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 9^16 modulo 61.", "role": "human" }, { "content": "Let's calculate 9^16 modulo 61. \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 75.", "role": "human" }, { "content": "Let's calculate 11! modulo 75. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15^4 modulo 97.", "role": "human" }, { "content": "Let's calculate 15^4 modulo 97. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6^1 modulo 83.", "role": "human" }, { "content": "Let's calculate 6^1 modulo 83. \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 18! modulo 73.", "role": "human" }, { "content": "Let's calculate 18! modulo 73. \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 18 and 51.", "role": "human" }, { "content": "To find the greatest common divisor of 18 and 51, we can use the Euclidean algor...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^20 modulo 17.", "role": "human" }, { "content": "Let's calculate 1^20 modulo 17. \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 4^11 modulo 83.", "role": "human" }, { "content": "Let's calculate 4^11 modulo 83. \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 15^14 modulo 32.", "role": "human" }, { "content": "Let's calculate 15^14 modulo 32. \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 416 and 275.", "role": "human" }, { "content": "To find the greatest common divisor of 416 and 275, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6^15 modulo 64.", "role": "human" }, { "content": "Let's calculate 6^15 modulo 64. \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 85.", "role": "human" }, { "content": "Let's calculate 7! modulo 85. \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": "Find the greatest common divisor of 246 and 748.", "role": "human" }, { "content": "To find the greatest common divisor of 246 and 748, 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 16^4 modulo 96.", "role": "human" }, { "content": "Let's calculate 16^4 modulo 96. \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 11^4 modulo 84.", "role": "human" }, { "content": "Let's calculate 11^4 modulo 84. \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 546 and 635.", "role": "human" }, { "content": "To find the greatest common divisor of 546 and 635, 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 31.", "role": "human" }, { "content": "Let's calculate 17! modulo 31. \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 12! modulo 75.", "role": "human" }, { "content": "Let's calculate 12! modulo 75. \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": "Calculate 15^1 modulo 35.", "role": "human" }, { "content": "Let's calculate 15^1 modulo 35. \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 20^10 modulo 82.", "role": "human" }, { "content": "Let's calculate 20^10 modulo 82. \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 16^16 modulo 59.", "role": "human" }, { "content": "Let's calculate 16^16 modulo 59. \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 409 and 874.", "role": "human" }, { "content": "To find the greatest common divisor of 409 and 874, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 4! modulo 76.", "role": "human" }, { "content": "Let's calculate 4! modulo 76. \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": "Calculate 13! modulo 73.", "role": "human" }, { "content": "Let's calculate 13! modulo 73. \n\nFirst, let's break this down:\n\n1) We need to calculate 13! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 16^4 modulo 72.", "role": "human" }, { "content": "Let's calculate 16^4 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": "Calculate 7! modulo 16.", "role": "human" }, { "content": "Let's calculate 7! modulo 16. \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 4! modulo 81.", "role": "human" }, { "content": "Let's calculate 4! modulo 81. \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": "Calculate 1! modulo 35.", "role": "human" }, { "content": "Let's calculate 1! modulo 35. \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 13! modulo 70.", "role": "human" }, { "content": "Let's calculate 13! modulo 70. \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 11^10 modulo 22.", "role": "human" }, { "content": "Let's calculate 11^10 modulo 22. \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 10! modulo 13.", "role": "human" }, { "content": "Let's calculate 10! modulo 13. \n\nFirst, let's break this down:\n\n1) We need to calculate 10! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 222 and 824.", "role": "human" }, { "content": "To find the greatest common divisor of 222 and 824, 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 176 and 44.", "role": "human" }, { "content": "To find the greatest common divisor of 176 and 44, 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 5! modulo 93.", "role": "human" }, { "content": "Let's calculate 5! modulo 93. \n\nFirst, let's break this down:\n\n1) We need to calculate 5! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 134 and 427.", "role": "human" }, { "content": "To find the greatest common divisor of 134 and 427, 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 17^15 modulo 38.", "role": "human" }, { "content": "Let's calculate 17^15 modulo 38. \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 19^5 modulo 6.", "role": "human" }, { "content": "Let's calculate 19^5 modulo 6. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17! modulo 28.", "role": "human" }, { "content": "Let's calculate 17! modulo 28. \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 20! modulo 21.", "role": "human" }, { "content": "Let's calculate 20! modulo 21. \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 539 and 800.", "role": "human" }, { "content": "To find the greatest common divisor of 539 and 800, 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 732 and 456.", "role": "human" }, { "content": "To find the greatest common divisor of 732 and 456, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6! modulo 21.", "role": "human" }, { "content": "Let's calculate 6! modulo 21. \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 1! modulo 44.", "role": "human" }, { "content": "Let's calculate 1! modulo 44. \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 731 and 140.", "role": "human" }, { "content": "To find the greatest common divisor of 731 and 140, 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 12^3 modulo 4.", "role": "human" }, { "content": "Let's calculate 12^3 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": "Calculate 20^6 modulo 5.", "role": "human" }, { "content": "Let's calculate 20^6 modulo 5. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19^16 modulo 79.", "role": "human" }, { "content": "Let's calculate 19^16 modulo 79. \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 19^7 modulo 83.", "role": "human" }, { "content": "Let's calculate 19^7 modulo 83. \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 598 and 743.", "role": "human" }, { "content": "To find the greatest common divisor of 598 and 743, 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 714 and 554.", "role": "human" }, { "content": "To find the greatest common divisor of 714 and 554, 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 843 and 3.", "role": "human" }, { "content": "To find the greatest common divisor of 843 and 3, we can use the Euclidean algor...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^17 modulo 34.", "role": "human" }, { "content": "Let's calculate 7^17 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 3! modulo 67.", "role": "human" }, { "content": "Let's calculate 3! modulo 67. \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 294 and 553.", "role": "human" }, { "content": "To find the greatest common divisor of 294 and 553, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11! modulo 22.", "role": "human" }, { "content": "Let's calculate 11! modulo 22. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (facto...