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 546 and 487.", "role": "human" }, { "content": "To find the greatest common divisor of 546 and 487, 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 928.", "role": "human" }, { "content": "To find the greatest common divisor of 443 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": "Calculate 2! modulo 52.", "role": "human" }, { "content": "Let's calculate 2! modulo 52. \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 1! modulo 13.", "role": "human" }, { "content": "Let's calculate 1! modulo 13. \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 3! modulo 38.", "role": "human" }, { "content": "Let's calculate 3! modulo 38. \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 13! modulo 98.", "role": "human" }, { "content": "Let's calculate 13! modulo 98. \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 18 and 988.", "role": "human" }, { "content": "To find the greatest common divisor of 18 and 988, 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 14! modulo 18.", "role": "human" }, { "content": "Let's calculate 14! modulo 18. \n\nFirst, let's break this down:\n\n1) We need to calculate 14! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9! modulo 59.", "role": "human" }, { "content": "Let's calculate 9! modulo 59. \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 3! modulo 28.", "role": "human" }, { "content": "Let's calculate 3! modulo 28. \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 445 and 203.", "role": "human" }, { "content": "To find the greatest common divisor of 445 and 203, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 105 and 712.", "role": "human" }, { "content": "To find the greatest common divisor of 105 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": "Find the greatest common divisor of 457 and 979.", "role": "human" }, { "content": "To find the greatest common divisor of 457 and 979, 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 9^6 modulo 57.", "role": "human" }, { "content": "Let's calculate 9^6 modulo 57. \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 371 and 275.", "role": "human" }, { "content": "To find the greatest common divisor of 371 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": "Find the greatest common divisor of 435 and 299.", "role": "human" }, { "content": "To find the greatest common divisor of 435 and 299, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 61.", "role": "human" }, { "content": "Let's calculate 8! modulo 61. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 628 and 986.", "role": "human" }, { "content": "To find the greatest common divisor of 628 and 986, 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 9^14 modulo 23.", "role": "human" }, { "content": "Let's calculate 9^14 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 8! modulo 25.", "role": "human" }, { "content": "Let's calculate 8! modulo 25. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 294 and 438.", "role": "human" }, { "content": "To find the greatest common divisor of 294 and 438, 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 124 and 176.", "role": "human" }, { "content": "To find the greatest common divisor of 124 and 176, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 68.", "role": "human" }, { "content": "Let's calculate 10! modulo 68. \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 6! modulo 50.", "role": "human" }, { "content": "Let's calculate 6! modulo 50. \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 12! modulo 36.", "role": "human" }, { "content": "Let's calculate 12! modulo 36. \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 128 and 956.", "role": "human" }, { "content": "To find the greatest common divisor of 128 and 956, 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 14^5 modulo 38.", "role": "human" }, { "content": "Let's calculate 14^5 modulo 38. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 31.", "role": "human" }, { "content": "Let's calculate 20! modulo 31. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15^15 modulo 72.", "role": "human" }, { "content": "Let's calculate 15^15 modulo 72. \n\nTo do this efficiently, we can use the concept of modular expon...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11! modulo 94.", "role": "human" }, { "content": "Let's calculate 11! modulo 94. \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 11^11 modulo 60.", "role": "human" }, { "content": "Let's calculate 11^11 modulo 60. \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 1! modulo 32.", "role": "human" }, { "content": "Let's calculate 1! modulo 32. \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 19^18 modulo 83.", "role": "human" }, { "content": "Let's calculate 19^18 modulo 83. \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 20! modulo 13.", "role": "human" }, { "content": "Let's calculate 20! modulo 13. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19! modulo 18.", "role": "human" }, { "content": "Let's calculate 19! modulo 18. \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 7^8 modulo 17.", "role": "human" }, { "content": "Let's calculate 7^8 modulo 17. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 948 and 568.", "role": "human" }, { "content": "To find the greatest common divisor of 948 and 568, 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 11.", "role": "human" }, { "content": "Let's calculate 2! modulo 11. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 929 and 615.", "role": "human" }, { "content": "To find the greatest common divisor of 929 and 615, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10^9 modulo 80.", "role": "human" }, { "content": "Let's calculate 10^9 modulo 80. \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 19^19 modulo 68.", "role": "human" }, { "content": "Let's calculate 19^19 modulo 68. \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 737 and 113.", "role": "human" }, { "content": "To find the greatest common divisor of 737 and 113, 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 112 and 899.", "role": "human" }, { "content": "To find the greatest common divisor of 112 and 899, 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 293 and 131.", "role": "human" }, { "content": "To find the greatest common divisor of 293 and 131, 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 154 and 315.", "role": "human" }, { "content": "To find the greatest common divisor of 154 and 315, 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 1^20 modulo 14.", "role": "human" }, { "content": "Let's calculate 1^20 modulo 14. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18! modulo 10.", "role": "human" }, { "content": "Let's calculate 18! modulo 10. \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 10! modulo 38.", "role": "human" }, { "content": "Let's calculate 10! modulo 38. \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 516 and 555.", "role": "human" }, { "content": "To find the greatest common divisor of 516 and 555, 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 14.", "role": "human" }, { "content": "Let's calculate 2! modulo 14. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 95 and 170.", "role": "human" }, { "content": "To find the greatest common divisor of 95 and 170, we can use the Euclidean alg...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 12^11 modulo 89.", "role": "human" }, { "content": "Let's calculate 12^11 modulo 89. \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 10^18 modulo 33.", "role": "human" }, { "content": "Let's calculate 10^18 modulo 33. \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 305 and 503.", "role": "human" }, { "content": "To find the greatest common divisor of 305 and 503, 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 76.", "role": "human" }, { "content": "Let's calculate 9! modulo 76. \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 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": "Find the greatest common divisor of 530 and 456.", "role": "human" }, { "content": "To find the greatest common divisor of 530 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": "Find the greatest common divisor of 952 and 535.", "role": "human" }, { "content": "To find the greatest common divisor of 952 and 535, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 76.", "role": "human" }, { "content": "Let's calculate 8! modulo 76. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 56 and 997.", "role": "human" }, { "content": "To find the greatest common divisor of 56 and 997, 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 18! modulo 14.", "role": "human" }, { "content": "Let's calculate 18! modulo 14. \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 916 and 149.", "role": "human" }, { "content": "To find the greatest common divisor of 916 and 149, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 49.", "role": "human" }, { "content": "Let's calculate 10! modulo 49. \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 8^9 modulo 27.", "role": "human" }, { "content": "Let's calculate 8^9 modulo 27. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11^9 modulo 85.", "role": "human" }, { "content": "Let's calculate 11^9 modulo 85. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^13 modulo 26.", "role": "human" }, { "content": "Let's calculate 7^13 modulo 26. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 668 and 999.", "role": "human" }, { "content": "To find the greatest common divisor of 668 and 999, 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 709 and 540.", "role": "human" }, { "content": "To find the greatest common divisor of 709 and 540, 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 12^15 modulo 71.", "role": "human" }, { "content": "Let's calculate 12^15 modulo 71. \n\nTo do this efficiently, we can use the concept of modular expon...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^18 modulo 58.", "role": "human" }, { "content": "Let's calculate 7^18 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 10! modulo 35.", "role": "human" }, { "content": "Let's calculate 10! modulo 35. \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 9^13 modulo 16.", "role": "human" }, { "content": "Let's calculate 9^13 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": "Calculate 14^8 modulo 93.", "role": "human" }, { "content": "Let's calculate 14^8 modulo 93. \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": "Calculate 14^7 modulo 81.", "role": "human" }, { "content": "Let's calculate 14^7 modulo 81. \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 10^14 modulo 98.", "role": "human" }, { "content": "Let's calculate 10^14 modulo 98. \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 933 and 360.", "role": "human" }, { "content": "To find the greatest common divisor of 933 and 360, 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 13^18 modulo 82.", "role": "human" }, { "content": "Let's calculate 13^18 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": "Find the greatest common divisor of 433 and 647.", "role": "human" }, { "content": "To find the greatest common divisor of 433 and 647, 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 51.", "role": "human" }, { "content": "Let's calculate 9! modulo 51. \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 725 and 662.", "role": "human" }, { "content": "To find the greatest common divisor of 725 and 662, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 986 and 623.", "role": "human" }, { "content": "To find the greatest common divisor of 986 and 623, 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 253 and 828.", "role": "human" }, { "content": "To find the greatest common divisor of 253 and 828, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^19 modulo 24.", "role": "human" }, { "content": "Let's calculate 2^19 modulo 24. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15! modulo 64.", "role": "human" }, { "content": "Let's calculate 15! modulo 64. \n\nFirst, let's break this down:\n\n1) We need to calculate 15! (facto...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 85.", "role": "human" }, { "content": "Let's calculate 10! modulo 85. \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 2! modulo 17.", "role": "human" }, { "content": "Let's calculate 2! modulo 17. \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 7! modulo 39.", "role": "human" }, { "content": "Let's calculate 7! modulo 39. \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 17^5 modulo 38.", "role": "human" }, { "content": "Let's calculate 17^5 modulo 38. \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 694 and 727.", "role": "human" }, { "content": "To find the greatest common divisor of 694 and 727, 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 274 and 409.", "role": "human" }, { "content": "To find the greatest common divisor of 274 and 409, 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 2^17 modulo 51.", "role": "human" }, { "content": "Let's calculate 2^17 modulo 51. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 4^11 modulo 14.", "role": "human" }, { "content": "Let's calculate 4^11 modulo 14. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3^20 modulo 5.", "role": "human" }, { "content": "Let's calculate 3^20 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 8^11 modulo 81.", "role": "human" }, { "content": "Let's calculate 8^11 modulo 81. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 68.", "role": "human" }, { "content": "Let's calculate 20! modulo 68. \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 514 and 937.", "role": "human" }, { "content": "To find the greatest common divisor of 514 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": "Calculate 15! modulo 97.", "role": "human" }, { "content": "Let's calculate 15! modulo 97. \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 587 and 447.", "role": "human" }, { "content": "To find the greatest common divisor of 587 and 447, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19^9 modulo 57.", "role": "human" }, { "content": "Let's calculate 19^9 modulo 57. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 546 and 487.", "role": "human" }, { "content": "To find the greatest common divisor of 546 and 487, 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 928.", "role": "human" }, { "content": "To find the greatest common divisor of 443 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": "Calculate 2! modulo 52.", "role": "human" }, { "content": "Let's calculate 2! modulo 52. \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 1! modulo 13.", "role": "human" }, { "content": "Let's calculate 1! modulo 13. \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 3! modulo 38.", "role": "human" }, { "content": "Let's calculate 3! modulo 38. \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 13! modulo 98.", "role": "human" }, { "content": "Let's calculate 13! modulo 98. \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 18 and 988.", "role": "human" }, { "content": "To find the greatest common divisor of 18 and 988, 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 14! modulo 18.", "role": "human" }, { "content": "Let's calculate 14! modulo 18. \n\nFirst, let's break this down:\n\n1) We need to calculate 14! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9! modulo 59.", "role": "human" }, { "content": "Let's calculate 9! modulo 59. \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 3! modulo 28.", "role": "human" }, { "content": "Let's calculate 3! modulo 28. \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 445 and 203.", "role": "human" }, { "content": "To find the greatest common divisor of 445 and 203, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 105 and 712.", "role": "human" }, { "content": "To find the greatest common divisor of 105 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": "Find the greatest common divisor of 457 and 979.", "role": "human" }, { "content": "To find the greatest common divisor of 457 and 979, 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 9^6 modulo 57.", "role": "human" }, { "content": "Let's calculate 9^6 modulo 57. \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 371 and 275.", "role": "human" }, { "content": "To find the greatest common divisor of 371 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": "Find the greatest common divisor of 435 and 299.", "role": "human" }, { "content": "To find the greatest common divisor of 435 and 299, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 61.", "role": "human" }, { "content": "Let's calculate 8! modulo 61. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 628 and 986.", "role": "human" }, { "content": "To find the greatest common divisor of 628 and 986, 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 9^14 modulo 23.", "role": "human" }, { "content": "Let's calculate 9^14 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 8! modulo 25.", "role": "human" }, { "content": "Let's calculate 8! modulo 25. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 294 and 438.", "role": "human" }, { "content": "To find the greatest common divisor of 294 and 438, 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 124 and 176.", "role": "human" }, { "content": "To find the greatest common divisor of 124 and 176, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 68.", "role": "human" }, { "content": "Let's calculate 10! modulo 68. \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 6! modulo 50.", "role": "human" }, { "content": "Let's calculate 6! modulo 50. \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 12! modulo 36.", "role": "human" }, { "content": "Let's calculate 12! modulo 36. \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 128 and 956.", "role": "human" }, { "content": "To find the greatest common divisor of 128 and 956, 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 14^5 modulo 38.", "role": "human" }, { "content": "Let's calculate 14^5 modulo 38. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 31.", "role": "human" }, { "content": "Let's calculate 20! modulo 31. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15^15 modulo 72.", "role": "human" }, { "content": "Let's calculate 15^15 modulo 72. \n\nTo do this efficiently, we can use the concept of modular expon...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11! modulo 94.", "role": "human" }, { "content": "Let's calculate 11! modulo 94. \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 11^11 modulo 60.", "role": "human" }, { "content": "Let's calculate 11^11 modulo 60. \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 1! modulo 32.", "role": "human" }, { "content": "Let's calculate 1! modulo 32. \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 19^18 modulo 83.", "role": "human" }, { "content": "Let's calculate 19^18 modulo 83. \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 20! modulo 13.", "role": "human" }, { "content": "Let's calculate 20! modulo 13. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19! modulo 18.", "role": "human" }, { "content": "Let's calculate 19! modulo 18. \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 7^8 modulo 17.", "role": "human" }, { "content": "Let's calculate 7^8 modulo 17. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 948 and 568.", "role": "human" }, { "content": "To find the greatest common divisor of 948 and 568, 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 11.", "role": "human" }, { "content": "Let's calculate 2! modulo 11. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 929 and 615.", "role": "human" }, { "content": "To find the greatest common divisor of 929 and 615, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10^9 modulo 80.", "role": "human" }, { "content": "Let's calculate 10^9 modulo 80. \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 19^19 modulo 68.", "role": "human" }, { "content": "Let's calculate 19^19 modulo 68. \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 737 and 113.", "role": "human" }, { "content": "To find the greatest common divisor of 737 and 113, 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 112 and 899.", "role": "human" }, { "content": "To find the greatest common divisor of 112 and 899, 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 293 and 131.", "role": "human" }, { "content": "To find the greatest common divisor of 293 and 131, 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 154 and 315.", "role": "human" }, { "content": "To find the greatest common divisor of 154 and 315, 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 1^20 modulo 14.", "role": "human" }, { "content": "Let's calculate 1^20 modulo 14. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 18! modulo 10.", "role": "human" }, { "content": "Let's calculate 18! modulo 10. \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 10! modulo 38.", "role": "human" }, { "content": "Let's calculate 10! modulo 38. \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 516 and 555.", "role": "human" }, { "content": "To find the greatest common divisor of 516 and 555, 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 14.", "role": "human" }, { "content": "Let's calculate 2! modulo 14. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 95 and 170.", "role": "human" }, { "content": "To find the greatest common divisor of 95 and 170, we can use the Euclidean alg...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 12^11 modulo 89.", "role": "human" }, { "content": "Let's calculate 12^11 modulo 89. \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 10^18 modulo 33.", "role": "human" }, { "content": "Let's calculate 10^18 modulo 33. \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 305 and 503.", "role": "human" }, { "content": "To find the greatest common divisor of 305 and 503, 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 76.", "role": "human" }, { "content": "Let's calculate 9! modulo 76. \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 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": "Find the greatest common divisor of 530 and 456.", "role": "human" }, { "content": "To find the greatest common divisor of 530 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": "Find the greatest common divisor of 952 and 535.", "role": "human" }, { "content": "To find the greatest common divisor of 952 and 535, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 76.", "role": "human" }, { "content": "Let's calculate 8! modulo 76. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 56 and 997.", "role": "human" }, { "content": "To find the greatest common divisor of 56 and 997, 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 18! modulo 14.", "role": "human" }, { "content": "Let's calculate 18! modulo 14. \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 916 and 149.", "role": "human" }, { "content": "To find the greatest common divisor of 916 and 149, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 49.", "role": "human" }, { "content": "Let's calculate 10! modulo 49. \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 8^9 modulo 27.", "role": "human" }, { "content": "Let's calculate 8^9 modulo 27. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 11^9 modulo 85.", "role": "human" }, { "content": "Let's calculate 11^9 modulo 85. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^13 modulo 26.", "role": "human" }, { "content": "Let's calculate 7^13 modulo 26. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 668 and 999.", "role": "human" }, { "content": "To find the greatest common divisor of 668 and 999, 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 709 and 540.", "role": "human" }, { "content": "To find the greatest common divisor of 709 and 540, 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 12^15 modulo 71.", "role": "human" }, { "content": "Let's calculate 12^15 modulo 71. \n\nTo do this efficiently, we can use the concept of modular expon...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^18 modulo 58.", "role": "human" }, { "content": "Let's calculate 7^18 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 10! modulo 35.", "role": "human" }, { "content": "Let's calculate 10! modulo 35. \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 9^13 modulo 16.", "role": "human" }, { "content": "Let's calculate 9^13 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": "Calculate 14^8 modulo 93.", "role": "human" }, { "content": "Let's calculate 14^8 modulo 93. \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": "Calculate 14^7 modulo 81.", "role": "human" }, { "content": "Let's calculate 14^7 modulo 81. \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 10^14 modulo 98.", "role": "human" }, { "content": "Let's calculate 10^14 modulo 98. \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 933 and 360.", "role": "human" }, { "content": "To find the greatest common divisor of 933 and 360, 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 13^18 modulo 82.", "role": "human" }, { "content": "Let's calculate 13^18 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": "Find the greatest common divisor of 433 and 647.", "role": "human" }, { "content": "To find the greatest common divisor of 433 and 647, 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 51.", "role": "human" }, { "content": "Let's calculate 9! modulo 51. \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 725 and 662.", "role": "human" }, { "content": "To find the greatest common divisor of 725 and 662, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 986 and 623.", "role": "human" }, { "content": "To find the greatest common divisor of 986 and 623, 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 253 and 828.", "role": "human" }, { "content": "To find the greatest common divisor of 253 and 828, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^19 modulo 24.", "role": "human" }, { "content": "Let's calculate 2^19 modulo 24. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 15! modulo 64.", "role": "human" }, { "content": "Let's calculate 15! modulo 64. \n\nFirst, let's break this down:\n\n1) We need to calculate 15! (facto...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 85.", "role": "human" }, { "content": "Let's calculate 10! modulo 85. \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 2! modulo 17.", "role": "human" }, { "content": "Let's calculate 2! modulo 17. \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 7! modulo 39.", "role": "human" }, { "content": "Let's calculate 7! modulo 39. \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 17^5 modulo 38.", "role": "human" }, { "content": "Let's calculate 17^5 modulo 38. \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 694 and 727.", "role": "human" }, { "content": "To find the greatest common divisor of 694 and 727, 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 274 and 409.", "role": "human" }, { "content": "To find the greatest common divisor of 274 and 409, 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 2^17 modulo 51.", "role": "human" }, { "content": "Let's calculate 2^17 modulo 51. \n\nTo do this efficiently, we can use the concept of modular exponen...

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

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 3^20 modulo 5.", "role": "human" }, { "content": "Let's calculate 3^20 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 8^11 modulo 81.", "role": "human" }, { "content": "Let's calculate 8^11 modulo 81. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 68.", "role": "human" }, { "content": "Let's calculate 20! modulo 68. \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 514 and 937.", "role": "human" }, { "content": "To find the greatest common divisor of 514 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": "Calculate 15! modulo 97.", "role": "human" }, { "content": "Let's calculate 15! modulo 97. \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 587 and 447.", "role": "human" }, { "content": "To find the greatest common divisor of 587 and 447, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19^9 modulo 57.", "role": "human" }, { "content": "Let's calculate 19^9 modulo 57. \n\nTo do this efficiently, we can use the concept of modular exponen...