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 27 and 967.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 27 and 967, 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 750 and 427.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 750 and 427, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 3^4 modulo 82.",
"role": "human"
},
{
"content": "Let's calculate 3^4 modulo 82. \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 458 and 707.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 458 and 707, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 4! modulo 22.",
"role": "human"
},
{
"content": "Let's calculate 4! modulo 22. \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 899 and 103.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 899 and 103, 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 52.",
"role": "human"
},
{
"content": "Let's calculate 10! modulo 52. \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 17^18 modulo 75.",
"role": "human"
},
{
"content": "Let's calculate 17^18 modulo 75. \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 299 and 313.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 299 and 313, 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 8.",
"role": "human"
},
{
"content": "Let's calculate 20! modulo 8. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (factori... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 1^16 modulo 49.",
"role": "human"
},
{
"content": "Let's calculate 1^16 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 772 and 661.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 772 and 661, 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 551 and 649.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 551 and 649, 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 742 and 723.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 742 and 723, 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 75.",
"role": "human"
},
{
"content": "Let's calculate 18! modulo 75. \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 987 and 256.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 987 and 256, 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 66.",
"role": "human"
},
{
"content": "Let's calculate 8! modulo 66. \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 16! modulo 10.",
"role": "human"
},
{
"content": "Let's calculate 16! modulo 10. \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 16^4 modulo 50.",
"role": "human"
},
{
"content": "Let's calculate 16^4 modulo 50. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 11^16 modulo 32.",
"role": "human"
},
{
"content": "Let's calculate 11^16 modulo 32. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 13! modulo 9.",
"role": "human"
},
{
"content": "Let's calculate 13! modulo 9. \n\nFirst, let's break this down:\n\n1) We need to calculate 13! (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 457 and 421.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 457 and 421, 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 20^1 modulo 60.",
"role": "human"
},
{
"content": "Let's calculate 20^1 modulo 60. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 18! modulo 59.",
"role": "human"
},
{
"content": "Let's calculate 18! modulo 59. \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 439 and 12.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 439 and 12, 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 454 and 822.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 454 and 822, 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 17^9 modulo 93.",
"role": "human"
},
{
"content": "Let's calculate 17^9 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 8! modulo 35.",
"role": "human"
},
{
"content": "Let's calculate 8! modulo 35. \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 814.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 560 and 814, 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 842 and 351.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 842 and 351, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 405 and 605.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 405 and 605, 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 36.",
"role": "human"
},
{
"content": "Let's calculate 2! modulo 36. \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 479 and 676.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 479 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 178 and 262.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 178 and 262, 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 963 and 45.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 963 and 45, 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 20^3 modulo 54.",
"role": "human"
},
{
"content": "Let's calculate 20^3 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 604 and 155.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 604 and 155, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 6! modulo 96.",
"role": "human"
},
{
"content": "Let's calculate 6! modulo 96. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 19! modulo 51.",
"role": "human"
},
{
"content": "Let's calculate 19! modulo 51. \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 400 and 687.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 400 and 687, 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 14^17 modulo 96.",
"role": "human"
},
{
"content": "Let's calculate 14^17 modulo 96. \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 32.",
"role": "human"
},
{
"content": "Let's calculate 12^7 modulo 32. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 3^6 modulo 16.",
"role": "human"
},
{
"content": "Let's calculate 3^6 modulo 16. \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 3^3 modulo 36.",
"role": "human"
},
{
"content": "Let's calculate 3^3 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": "Find the greatest common divisor of 349 and 679.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 349 and 679, 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 7.",
"role": "human"
},
{
"content": "Let's calculate 20! modulo 7. \n\nFirst, let's break this down:\n\n1) We need to calculate 20! (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 820 and 962.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 820 and 962, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 4^1 modulo 56.",
"role": "human"
},
{
"content": "Let's calculate 4^1 modulo 56. \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 10! modulo 10.",
"role": "human"
},
{
"content": "Let's calculate 10! modulo 10. \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 4^13 modulo 58.",
"role": "human"
},
{
"content": "Let's calculate 4^13 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 3^8 modulo 48.",
"role": "human"
},
{
"content": "Let's calculate 3^8 modulo 48. \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 599 and 779.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 599 and 779, 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 596 and 537.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 596 and 537, 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 18^8 modulo 64.",
"role": "human"
},
{
"content": "Let's calculate 18^8 modulo 64. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 18^14 modulo 40.",
"role": "human"
},
{
"content": "Let's calculate 18^14 modulo 40. \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 4^2 modulo 56.",
"role": "human"
},
{
"content": "Let's calculate 4^2 modulo 56. \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 6! modulo 33.",
"role": "human"
},
{
"content": "Let's calculate 6! modulo 33. \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 5^18 modulo 84.",
"role": "human"
},
{
"content": "Let's calculate 5^18 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": "Calculate 1^1 modulo 84.",
"role": "human"
},
{
"content": "Let's calculate 1^1 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": "Calculate 18^19 modulo 81.",
"role": "human"
},
{
"content": "Let's calculate 18^19 modulo 81. \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 533 and 679.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 533 and 679, 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 55.",
"role": "human"
},
{
"content": "Let's calculate 5! modulo 55. \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 11^15 modulo 100.",
"role": "human"
},
{
"content": "Let's calculate 11^15 modulo 100. \n\nTo do this efficiently, we can use the concept of modular exp... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 484 and 224.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 484 and 224, 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 814 and 369.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 814 and 369, 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 776 and 383.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 776 and 383, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 19^2 modulo 81.",
"role": "human"
},
{
"content": "Let's calculate 19^2 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 15! modulo 11.",
"role": "human"
},
{
"content": "Let's calculate 15! modulo 11. \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 18^17 modulo 60.",
"role": "human"
},
{
"content": "Let's calculate 18^17 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 8! modulo 37.",
"role": "human"
},
{
"content": "Let's calculate 8! modulo 37. \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 18^17 modulo 8.",
"role": "human"
},
{
"content": "Let's calculate 18^17 modulo 8. \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 14^4 modulo 9.",
"role": "human"
},
{
"content": "Let's calculate 14^4 modulo 9. \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 54 and 95.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 54 and 95, 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 4^17 modulo 54.",
"role": "human"
},
{
"content": "Let's calculate 4^17 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 688 and 718.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 688 and 718, 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 3.",
"role": "human"
},
{
"content": "Let's calculate 15! modulo 3. \n\nFirst, let's break this down:\n\n1) We need to calculate 15! (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 467 and 367.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 467 and 367, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 3^12 modulo 65.",
"role": "human"
},
{
"content": "Let's calculate 3^12 modulo 65. \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 627 and 678.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 627 and 678, 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 3.",
"role": "human"
},
{
"content": "Let's calculate 2! modulo 3. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factorial ... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 11^3 modulo 57.",
"role": "human"
},
{
"content": "Let's calculate 11^3 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 717 and 930.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 717 and 930, 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 12^5 modulo 38.",
"role": "human"
},
{
"content": "Let's calculate 12^5 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 16! modulo 32.",
"role": "human"
},
{
"content": "Let's calculate 16! modulo 32. \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 5! modulo 20.",
"role": "human"
},
{
"content": "Let's calculate 5! modulo 20. \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 19^14 modulo 44.",
"role": "human"
},
{
"content": "Let's calculate 19^14 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": "Find the greatest common divisor of 329 and 310.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 329 and 310, 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 100.",
"role": "human"
},
{
"content": "Let's calculate 2! modulo 100. \n\nFirst, let's break this down:\n\n1) We need to calculate 2! (factor... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 13^17 modulo 64.",
"role": "human"
},
{
"content": "Let's calculate 13^17 modulo 64. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 14 and 816.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 14 and 816, 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 19^19 modulo 48.",
"role": "human"
},
{
"content": "Let's calculate 19^19 modulo 48. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 8! modulo 57.",
"role": "human"
},
{
"content": "Let's calculate 8! modulo 57. \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 19^10 modulo 97.",
"role": "human"
},
{
"content": "Let's calculate 19^10 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": "Calculate 15^3 modulo 29.",
"role": "human"
},
{
"content": "Let's calculate 15^3 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 19^9 modulo 98.",
"role": "human"
},
{
"content": "Let's calculate 19^9 modulo 98. \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 285 and 233.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 285 and 233, 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 68.",
"role": "human"
},
{
"content": "Let's calculate 2! modulo 68. \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 323 and 650.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 323 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 4^2 modulo 13.",
"role": "human"
},
{
"content": "Let's calculate 4^2 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 17! modulo 32.",
"role": "human"
},
{
"content": "Let's calculate 17! modulo 32. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (facto... |
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