messages listlengths 3 3 |
|---|
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 14^12 modulo 53.",
"role": "human"
},
{
"content": "Let's calculate 14^12 modulo 53. \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 2^10 modulo 7.",
"role": "human"
},
{
"content": "Let's calculate 2^10 modulo 7. \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 8^20 modulo 80.",
"role": "human"
},
{
"content": "Let's calculate 8^20 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": "Find the greatest common divisor of 139 and 856.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 139 and 856, 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 8^4 modulo 22.",
"role": "human"
},
{
"content": "Let's calculate 8^4 modulo 22. \n\nTo do this efficiently, we can use the concept of modular exponenti... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 16! modulo 81.",
"role": "human"
},
{
"content": "Let's calculate 16! modulo 81. \n\nFirst, let's break this down:\n\n1) We need to calculate 16! (facto... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 194 and 508.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 194 and 508, 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 841 and 676.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 841 and 676, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 26 and 71.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 26 and 71, 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 12! modulo 87.",
"role": "human"
},
{
"content": "Let's calculate 12! modulo 87. \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 17^20 modulo 16.",
"role": "human"
},
{
"content": "Let's calculate 17^20 modulo 16. \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 424 and 428.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 424 and 428, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 18^14 modulo 19.",
"role": "human"
},
{
"content": "Let's calculate 18^14 modulo 19. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 5! modulo 92.",
"role": "human"
},
{
"content": "Let's calculate 5! modulo 92. \n\nFirst, let's break this down:\n\n1) We need to calculate 5! (factoria... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 14! modulo 87.",
"role": "human"
},
{
"content": "Let's calculate 14! modulo 87. \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": "Find the greatest common divisor of 169 and 699.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 169 and 699, 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 818 and 856.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 818 and 856, 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 201 and 790.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 201 and 790, 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 994 and 388.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 994 and 388, 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 426 and 473.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 426 and 473, 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 216 and 119.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 216 and 119, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 17^15 modulo 41.",
"role": "human"
},
{
"content": "Let's calculate 17^15 modulo 41. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 16^9 modulo 86.",
"role": "human"
},
{
"content": "Let's calculate 16^9 modulo 86. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 3^13 modulo 46.",
"role": "human"
},
{
"content": "Let's calculate 3^13 modulo 46. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 578 and 670.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 578 and 670, 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 139 and 754.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 139 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 8^10 modulo 29.",
"role": "human"
},
{
"content": "Let's calculate 8^10 modulo 29. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 19! modulo 5.",
"role": "human"
},
{
"content": "Let's calculate 19! modulo 5. \n\nFirst, let's break this down:\n\n1) We need to calculate 19! (factori... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 550 and 540.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 550 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 10^9 modulo 57.",
"role": "human"
},
{
"content": "Let's calculate 10^9 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 924 and 520.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 924 and 520, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 6^12 modulo 29.",
"role": "human"
},
{
"content": "Let's calculate 6^12 modulo 29. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 13! modulo 11.",
"role": "human"
},
{
"content": "Let's calculate 13! modulo 11. \n\nFirst, let's break this down:\n\n1) We need to calculate 13! (facto... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 5^18 modulo 31.",
"role": "human"
},
{
"content": "Let's calculate 5^18 modulo 31. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 5^2 modulo 10.",
"role": "human"
},
{
"content": "Let's calculate 5^2 modulo 10. \n\nTo do this efficiently, we can use the concept of modular exponenti... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 12^1 modulo 42.",
"role": "human"
},
{
"content": "Let's calculate 12^1 modulo 42. \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 86 and 833.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 86 and 833, 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 17! modulo 7.",
"role": "human"
},
{
"content": "Let's calculate 17! modulo 7. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (factori... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 10^18 modulo 78.",
"role": "human"
},
{
"content": "Let's calculate 10^18 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 654 and 958.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 654 and 958, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 14! modulo 53.",
"role": "human"
},
{
"content": "Let's calculate 14! modulo 53. \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 4^7 modulo 68.",
"role": "human"
},
{
"content": "Let's calculate 4^7 modulo 68. \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 401 and 650.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 401 and 650, 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 15^15 modulo 99.",
"role": "human"
},
{
"content": "Let's calculate 15^15 modulo 99. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 5^14 modulo 32.",
"role": "human"
},
{
"content": "Let's calculate 5^14 modulo 32. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 909 and 726.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 909 and 726, 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 85 and 202.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 85 and 202, 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 13! modulo 78.",
"role": "human"
},
{
"content": "Let's calculate 13! modulo 78. \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 227 and 590.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 227 and 590, 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 14^16 modulo 72.",
"role": "human"
},
{
"content": "Let's calculate 14^16 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": "Find the greatest common divisor of 123 and 178.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 123 and 178, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 20^2 modulo 97.",
"role": "human"
},
{
"content": "Let's calculate 20^2 modulo 97. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 20^15 modulo 66.",
"role": "human"
},
{
"content": "Let's calculate 20^15 modulo 66. \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 870 and 150.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 870 and 150, 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 556 and 517.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 556 and 517, 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": "Calculate 1^18 modulo 11.",
"role": "human"
},
{
"content": "Let's calculate 1^18 modulo 11. \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 3^15 modulo 16.",
"role": "human"
},
{
"content": "Let's calculate 3^15 modulo 16. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 649 and 117.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 649 and 117, 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 545 and 966.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 545 and 966, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 106 and 591.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 106 and 591, 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 291 and 675.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 291 and 675, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 1! modulo 87.",
"role": "human"
},
{
"content": "Let's calculate 1! modulo 87. \n\nFirst, let's break this down:\n\n1) We need to calculate 1! (factoria... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 911 and 720.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 911 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": "Calculate 1^4 modulo 83.",
"role": "human"
},
{
"content": "Let's calculate 1^4 modulo 83. \n\nTo do this efficiently, we can use the concept of modular exponenti... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 621 and 683.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 621 and 683, 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 73.",
"role": "human"
},
{
"content": "Let's calculate 2^19 modulo 73. \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! modulo 84.",
"role": "human"
},
{
"content": "Let's calculate 14! modulo 84. \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 8! modulo 79.",
"role": "human"
},
{
"content": "Let's calculate 8! modulo 79. \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 560 and 546.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 560 and 546, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 5! modulo 7.",
"role": "human"
},
{
"content": "Let's calculate 5! modulo 7. \n\nFirst, let's break this down:\n\n1) We need to calculate 5! (factorial ... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 9^6 modulo 23.",
"role": "human"
},
{
"content": "Let's calculate 9^6 modulo 23. \n\nTo do this efficiently, we can use the concept of modular exponenti... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 16! modulo 24.",
"role": "human"
},
{
"content": "Let's calculate 16! modulo 24. \n\nFirst, let's break this down:\n\n1) We need to calculate 16! (facto... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 18! modulo 48.",
"role": "human"
},
{
"content": "Let's calculate 18! modulo 48. \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 15! modulo 68.",
"role": "human"
},
{
"content": "Let's calculate 15! modulo 68. \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 14^5 modulo 96.",
"role": "human"
},
{
"content": "Let's calculate 14^5 modulo 96. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 935 and 995.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 935 and 995, 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 10^17 modulo 53.",
"role": "human"
},
{
"content": "Let's calculate 10^17 modulo 53. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 18! modulo 54.",
"role": "human"
},
{
"content": "Let's calculate 18! modulo 54. \n\nFirst, let's break this down:\n\n1) We need to calculate 18! (facto... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 19! modulo 99.",
"role": "human"
},
{
"content": "Let's calculate 19! modulo 99. \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 6^4 modulo 24.",
"role": "human"
},
{
"content": "Let's calculate 6^4 modulo 24. \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 840 and 926.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 840 and 926, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 20! modulo 39.",
"role": "human"
},
{
"content": "Let's calculate 20! modulo 39. \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 16^16 modulo 97.",
"role": "human"
},
{
"content": "Let's calculate 16^16 modulo 97. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 138 and 396.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 138 and 396, 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 2^12 modulo 54.",
"role": "human"
},
{
"content": "Let's calculate 2^12 modulo 54. \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 622 and 381.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 622 and 381, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "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": "Find the greatest common divisor of 388 and 737.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 388 and 737, 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 361 and 896.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 361 and 896, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 12! modulo 30.",
"role": "human"
},
{
"content": "Let's calculate 12! modulo 30. \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 19^17 modulo 58.",
"role": "human"
},
{
"content": "Let's calculate 19^17 modulo 58. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 89 and 93.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 89 and 93, 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 11^17 modulo 33.",
"role": "human"
},
{
"content": "Let's calculate 11^17 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": "Calculate 9^3 modulo 86.",
"role": "human"
},
{
"content": "Let's calculate 9^3 modulo 86. \n\nTo do this efficiently, we can use the concept of modular exponenti... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 260 and 800.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 260 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 1^4 modulo 8.",
"role": "human"
},
{
"content": "Let's calculate 1^4 modulo 8. \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": "Calculate 13^6 modulo 84.",
"role": "human"
},
{
"content": "Let's calculate 13^6 modulo 84. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 105 and 954.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 105 and 954, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 18! modulo 64.",
"role": "human"
},
{
"content": "Let's calculate 18! modulo 64. \n\nFirst, let's break this down:\n\n1) We need to calculate 18! (facto... |
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