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

messages listlengths 3 3
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 59.", "role": "human" }, { "content": "Let's calculate 20! modulo 59. \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 206 and 864.", "role": "human" }, { "content": "To find the greatest common divisor of 206 and 864, 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 772 and 852.", "role": "human" }, { "content": "To find the greatest common divisor of 772 and 852, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17^4 modulo 47.", "role": "human" }, { "content": "Let's calculate 17^4 modulo 47. \n\nTo do this efficiently, we can use the concept of modular exponen...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^3 modulo 52.", "role": "human" }, { "content": "Let's calculate 2^3 modulo 52. \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 3! modulo 87.", "role": "human" }, { "content": "Let's calculate 3! modulo 87. \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 12! modulo 49.", "role": "human" }, { "content": "Let's calculate 12! modulo 49. \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! modulo 55.", "role": "human" }, { "content": "Let's calculate 15! modulo 55. \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 4! modulo 33.", "role": "human" }, { "content": "Let's calculate 4! modulo 33. \n\nFirst, let's break this down:\n\n1) We need to calculate 4! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 34 and 160.", "role": "human" }, { "content": "To find the greatest common divisor of 34 and 160, we can use the Euclidean alg...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 63 and 664.", "role": "human" }, { "content": "To find the greatest common divisor of 63 and 664, 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 9^10 modulo 16.", "role": "human" }, { "content": "Let's calculate 9^10 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 15^13 modulo 18.", "role": "human" }, { "content": "Let's calculate 15^13 modulo 18. \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 45.", "role": "human" }, { "content": "Let's calculate 1! modulo 45. \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 19^1 modulo 25.", "role": "human" }, { "content": "Let's calculate 19^1 modulo 25. \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 700 and 423.", "role": "human" }, { "content": "To find the greatest common divisor of 700 and 423, 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 20 and 661.", "role": "human" }, { "content": "To find the greatest common divisor of 20 and 661, 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 15^7 modulo 8.", "role": "human" }, { "content": "Let's calculate 15^7 modulo 8. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 268 and 754.", "role": "human" }, { "content": "To find the greatest common divisor of 268 and 754, 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 13^9 modulo 88.", "role": "human" }, { "content": "Let's calculate 13^9 modulo 88. \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 218 and 631.", "role": "human" }, { "content": "To find the greatest common divisor of 218 and 631, 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 5^11 modulo 49.", "role": "human" }, { "content": "Let's calculate 5^11 modulo 49. \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 937 and 929.", "role": "human" }, { "content": "To find the greatest common divisor of 937 and 929, 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 570 and 734.", "role": "human" }, { "content": "To find the greatest common divisor of 570 and 734, 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 600 and 39.", "role": "human" }, { "content": "To find the greatest common divisor of 600 and 39, we can use the Euclidean alg...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9^9 modulo 84.", "role": "human" }, { "content": "Let's calculate 9^9 modulo 84. \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 75 and 661.", "role": "human" }, { "content": "To find the greatest common divisor of 75 and 661, we can use the Euclidean alg...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 658 and 533.", "role": "human" }, { "content": "To find the greatest common divisor of 658 and 533, 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 25.", "role": "human" }, { "content": "Let's calculate 1^20 modulo 25. \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 94.", "role": "human" }, { "content": "Let's calculate 8! modulo 94. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10^10 modulo 44.", "role": "human" }, { "content": "Let's calculate 10^10 modulo 44. \n\nTo do this efficiently, we can use the concept of modular expon...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 12^7 modulo 53.", "role": "human" }, { "content": "Let's calculate 12^7 modulo 53. \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 604 and 662.", "role": "human" }, { "content": "To find the greatest common divisor of 604 and 662, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6^1 modulo 36.", "role": "human" }, { "content": "Let's calculate 6^1 modulo 36. \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 3^8 modulo 13.", "role": "human" }, { "content": "Let's calculate 3^8 modulo 13. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^13 modulo 61.", "role": "human" }, { "content": "Let's calculate 1^13 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": "Find the greatest common divisor of 829 and 937.", "role": "human" }, { "content": "To find the greatest common divisor of 829 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 8^18 modulo 25.", "role": "human" }, { "content": "Let's calculate 8^18 modulo 25. \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 16^2 modulo 72.", "role": "human" }, { "content": "Let's calculate 16^2 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 10! modulo 65.", "role": "human" }, { "content": "Let's calculate 10! modulo 65. \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 19! modulo 49.", "role": "human" }, { "content": "Let's calculate 19! modulo 49. \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 15^20 modulo 78.", "role": "human" }, { "content": "Let's calculate 15^20 modulo 78. \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 935 and 799.", "role": "human" }, { "content": "To find the greatest common divisor of 935 and 799, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19^19 modulo 95.", "role": "human" }, { "content": "Let's calculate 19^19 modulo 95. \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 9^19 modulo 21.", "role": "human" }, { "content": "Let's calculate 9^19 modulo 21. \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 74 and 40.", "role": "human" }, { "content": "To find the greatest common divisor of 74 and 40, 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 2! modulo 53.", "role": "human" }, { "content": "Let's calculate 2! modulo 53. \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 11^15 modulo 51.", "role": "human" }, { "content": "Let's calculate 11^15 modulo 51. \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 407 and 415.", "role": "human" }, { "content": "To find the greatest common divisor of 407 and 415, 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 980 and 860.", "role": "human" }, { "content": "To find the greatest common divisor of 980 and 860, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^1 modulo 69.", "role": "human" }, { "content": "Let's calculate 7^1 modulo 69. \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 663 and 800.", "role": "human" }, { "content": "To find the greatest common divisor of 663 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": "Calculate 11! modulo 6.", "role": "human" }, { "content": "Let's calculate 11! modulo 6. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (factori...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 65.", "role": "human" }, { "content": "Let's calculate 10! modulo 65. \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 4^1 modulo 43.", "role": "human" }, { "content": "Let's calculate 4^1 modulo 43. \n\nTo do this efficiently, we can use the concept of modular exponenti...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 590 and 277.", "role": "human" }, { "content": "To find the greatest common divisor of 590 and 277, 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 91.", "role": "human" }, { "content": "Let's calculate 11! modulo 91. \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 17^9 modulo 23.", "role": "human" }, { "content": "Let's calculate 17^9 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": "Find the greatest common divisor of 553 and 720.", "role": "human" }, { "content": "To find the greatest common divisor of 553 and 720, 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 592 and 58.", "role": "human" }, { "content": "To find the greatest common divisor of 592 and 58, 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 2! modulo 48.", "role": "human" }, { "content": "Let's calculate 2! modulo 48. \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 495 and 335.", "role": "human" }, { "content": "To find the greatest common divisor of 495 and 335, we can use the Euclidean a...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 19.", "role": "human" }, { "content": "Let's calculate 8! modulo 19. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^4 modulo 6.", "role": "human" }, { "content": "Let's calculate 7^4 modulo 6. \n\nTo do this efficiently, we can use the concept of modular exponentiat...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 63 and 630.", "role": "human" }, { "content": "To find the greatest common divisor of 63 and 630, we can use the Euclidean alg...
[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10^10 modulo 89.", "role": "human" }, { "content": "Let's calculate 10^10 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! modulo 82.", "role": "human" }, { "content": "Let's calculate 10! modulo 82. \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 12^3 modulo 20.", "role": "human" }, { "content": "Let's calculate 12^3 modulo 20. \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 60 and 387.", "role": "human" }, { "content": "To find the greatest common divisor of 60 and 387, we can use the Euclidean alg...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 20! modulo 59.", "role": "human" }, { "content": "Let's calculate 20! modulo 59. \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 206 and 864.", "role": "human" }, { "content": "To find the greatest common divisor of 206 and 864, 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 772 and 852.", "role": "human" }, { "content": "To find the greatest common divisor of 772 and 852, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 17^4 modulo 47.", "role": "human" }, { "content": "Let's calculate 17^4 modulo 47. \n\nTo do this efficiently, we can use the concept of modular exponen...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 2^3 modulo 52.", "role": "human" }, { "content": "Let's calculate 2^3 modulo 52. \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 3! modulo 87.", "role": "human" }, { "content": "Let's calculate 3! modulo 87. \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 12! modulo 49.", "role": "human" }, { "content": "Let's calculate 12! modulo 49. \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! modulo 55.", "role": "human" }, { "content": "Let's calculate 15! modulo 55. \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 4! modulo 33.", "role": "human" }, { "content": "Let's calculate 4! modulo 33. \n\nFirst, let's break this down:\n\n1) We need to calculate 4! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 34 and 160.", "role": "human" }, { "content": "To find the greatest common divisor of 34 and 160, we can use the Euclidean alg...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 63 and 664.", "role": "human" }, { "content": "To find the greatest common divisor of 63 and 664, 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 9^10 modulo 16.", "role": "human" }, { "content": "Let's calculate 9^10 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 15^13 modulo 18.", "role": "human" }, { "content": "Let's calculate 15^13 modulo 18. \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 45.", "role": "human" }, { "content": "Let's calculate 1! modulo 45. \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 19^1 modulo 25.", "role": "human" }, { "content": "Let's calculate 19^1 modulo 25. \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 700 and 423.", "role": "human" }, { "content": "To find the greatest common divisor of 700 and 423, 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 20 and 661.", "role": "human" }, { "content": "To find the greatest common divisor of 20 and 661, 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 15^7 modulo 8.", "role": "human" }, { "content": "Let's calculate 15^7 modulo 8. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 268 and 754.", "role": "human" }, { "content": "To find the greatest common divisor of 268 and 754, 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 13^9 modulo 88.", "role": "human" }, { "content": "Let's calculate 13^9 modulo 88. \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 218 and 631.", "role": "human" }, { "content": "To find the greatest common divisor of 218 and 631, 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 5^11 modulo 49.", "role": "human" }, { "content": "Let's calculate 5^11 modulo 49. \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 937 and 929.", "role": "human" }, { "content": "To find the greatest common divisor of 937 and 929, 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 570 and 734.", "role": "human" }, { "content": "To find the greatest common divisor of 570 and 734, 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 600 and 39.", "role": "human" }, { "content": "To find the greatest common divisor of 600 and 39, we can use the Euclidean alg...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 9^9 modulo 84.", "role": "human" }, { "content": "Let's calculate 9^9 modulo 84. \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 75 and 661.", "role": "human" }, { "content": "To find the greatest common divisor of 75 and 661, we can use the Euclidean alg...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 658 and 533.", "role": "human" }, { "content": "To find the greatest common divisor of 658 and 533, 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 25.", "role": "human" }, { "content": "Let's calculate 1^20 modulo 25. \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 94.", "role": "human" }, { "content": "Let's calculate 8! modulo 94. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10^10 modulo 44.", "role": "human" }, { "content": "Let's calculate 10^10 modulo 44. \n\nTo do this efficiently, we can use the concept of modular expon...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 12^7 modulo 53.", "role": "human" }, { "content": "Let's calculate 12^7 modulo 53. \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 604 and 662.", "role": "human" }, { "content": "To find the greatest common divisor of 604 and 662, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 6^1 modulo 36.", "role": "human" }, { "content": "Let's calculate 6^1 modulo 36. \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 3^8 modulo 13.", "role": "human" }, { "content": "Let's calculate 3^8 modulo 13. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 1^13 modulo 61.", "role": "human" }, { "content": "Let's calculate 1^13 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": "Find the greatest common divisor of 829 and 937.", "role": "human" }, { "content": "To find the greatest common divisor of 829 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 8^18 modulo 25.", "role": "human" }, { "content": "Let's calculate 8^18 modulo 25. \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 16^2 modulo 72.", "role": "human" }, { "content": "Let's calculate 16^2 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 10! modulo 65.", "role": "human" }, { "content": "Let's calculate 10! modulo 65. \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 19! modulo 49.", "role": "human" }, { "content": "Let's calculate 19! modulo 49. \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 15^20 modulo 78.", "role": "human" }, { "content": "Let's calculate 15^20 modulo 78. \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 935 and 799.", "role": "human" }, { "content": "To find the greatest common divisor of 935 and 799, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 19^19 modulo 95.", "role": "human" }, { "content": "Let's calculate 19^19 modulo 95. \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 9^19 modulo 21.", "role": "human" }, { "content": "Let's calculate 9^19 modulo 21. \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 74 and 40.", "role": "human" }, { "content": "To find the greatest common divisor of 74 and 40, 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 2! modulo 53.", "role": "human" }, { "content": "Let's calculate 2! modulo 53. \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 11^15 modulo 51.", "role": "human" }, { "content": "Let's calculate 11^15 modulo 51. \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 407 and 415.", "role": "human" }, { "content": "To find the greatest common divisor of 407 and 415, 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 980 and 860.", "role": "human" }, { "content": "To find the greatest common divisor of 980 and 860, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^1 modulo 69.", "role": "human" }, { "content": "Let's calculate 7^1 modulo 69. \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 663 and 800.", "role": "human" }, { "content": "To find the greatest common divisor of 663 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": "Calculate 11! modulo 6.", "role": "human" }, { "content": "Let's calculate 11! modulo 6. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (factori...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10! modulo 65.", "role": "human" }, { "content": "Let's calculate 10! modulo 65. \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 4^1 modulo 43.", "role": "human" }, { "content": "Let's calculate 4^1 modulo 43. \n\nTo do this efficiently, we can use the concept of modular exponenti...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 590 and 277.", "role": "human" }, { "content": "To find the greatest common divisor of 590 and 277, 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 91.", "role": "human" }, { "content": "Let's calculate 11! modulo 91. \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 17^9 modulo 23.", "role": "human" }, { "content": "Let's calculate 17^9 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": "Find the greatest common divisor of 553 and 720.", "role": "human" }, { "content": "To find the greatest common divisor of 553 and 720, 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 592 and 58.", "role": "human" }, { "content": "To find the greatest common divisor of 592 and 58, 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 2! modulo 48.", "role": "human" }, { "content": "Let's calculate 2! modulo 48. \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 495 and 335.", "role": "human" }, { "content": "To find the greatest common divisor of 495 and 335, we can use the Euclidean a...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 8! modulo 19.", "role": "human" }, { "content": "Let's calculate 8! modulo 19. \n\nFirst, let's break this down:\n\n1) We need to calculate 8! (factoria...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 7^4 modulo 6.", "role": "human" }, { "content": "Let's calculate 7^4 modulo 6. \n\nTo do this efficiently, we can use the concept of modular exponentiat...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Find the greatest common divisor of 63 and 630.", "role": "human" }, { "content": "To find the greatest common divisor of 63 and 630, we can use the Euclidean alg...

[ { "content": "You are a helpful assistant which is good at math, coding, chess and logic.", "role": "system" }, { "content": "Calculate 10^10 modulo 89.", "role": "human" }, { "content": "Let's calculate 10^10 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! modulo 82.", "role": "human" }, { "content": "Let's calculate 10! modulo 82. \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 12^3 modulo 20.", "role": "human" }, { "content": "Let's calculate 12^3 modulo 20. \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 60 and 387.", "role": "human" }, { "content": "To find the greatest common divisor of 60 and 387, we can use the Euclidean alg...