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 549 and 710.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 549 and 710, 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 76.",
"role": "human"
},
{
"content": "Let's calculate 6! modulo 76. \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 11^17 modulo 50.",
"role": "human"
},
{
"content": "Let's calculate 11^17 modulo 50. \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 14! modulo 65.",
"role": "human"
},
{
"content": "Let's calculate 14! modulo 65. \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 10^16 modulo 40.",
"role": "human"
},
{
"content": "Let's calculate 10^16 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": "Find the greatest common divisor of 33 and 957.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 33 and 957, 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 35.",
"role": "human"
},
{
"content": "Let's calculate 2! modulo 35. \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 12! modulo 76.",
"role": "human"
},
{
"content": "Let's calculate 12! modulo 76. \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 18^17 modulo 25.",
"role": "human"
},
{
"content": "Let's calculate 18^17 modulo 25. \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 9^1 modulo 18.",
"role": "human"
},
{
"content": "Let's calculate 9^1 modulo 18. \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 5^7 modulo 4.",
"role": "human"
},
{
"content": "Let's calculate 5^7 modulo 4. \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 17! modulo 79.",
"role": "human"
},
{
"content": "Let's calculate 17! modulo 79. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (facto... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 179 and 828.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 179 and 828, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 2^6 modulo 81.",
"role": "human"
},
{
"content": "Let's calculate 2^6 modulo 81. \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! modulo 6.",
"role": "human"
},
{
"content": "Let's calculate 1! modulo 6. \n\nFirst, let's break this down:\n\n1) We need to calculate 1! (factorial ... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 11! modulo 3.",
"role": "human"
},
{
"content": "Let's calculate 11! modulo 3. \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 12! modulo 100.",
"role": "human"
},
{
"content": "Let's calculate 12! modulo 100. \n\nFirst, let's break this down:\n\n1) We need to calculate 12! (fac... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 8! modulo 92.",
"role": "human"
},
{
"content": "Let's calculate 8! modulo 92. \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 8^11 modulo 69.",
"role": "human"
},
{
"content": "Let's calculate 8^11 modulo 69. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 3! modulo 38.",
"role": "human"
},
{
"content": "Let's calculate 3! modulo 38. \n\nFirst, let's break this down:\n\n1) We need to calculate 3! (factoria... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 6! modulo 48.",
"role": "human"
},
{
"content": "Let's calculate 6! modulo 48. \n\nFirst, let's break this down:\n\n1) We need to calculate 6! (factoria... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 410 and 999.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 410 and 999, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 749 and 109.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 749 and 109, 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 246 and 61.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 246 and 61, 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 3^11 modulo 47.",
"role": "human"
},
{
"content": "Let's calculate 3^11 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 17^19 modulo 33.",
"role": "human"
},
{
"content": "Let's calculate 17^19 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 2! modulo 76.",
"role": "human"
},
{
"content": "Let's calculate 2! modulo 76. \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 9^10 modulo 92.",
"role": "human"
},
{
"content": "Let's calculate 9^10 modulo 92. \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 849 and 341.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 849 and 341, 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 318 and 415.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 318 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 959 and 846.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 959 and 846, 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 59.",
"role": "human"
},
{
"content": "Let's calculate 10^17 modulo 59. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 19! modulo 91.",
"role": "human"
},
{
"content": "Let's calculate 19! modulo 91. \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 5^1 modulo 73.",
"role": "human"
},
{
"content": "Let's calculate 5^1 modulo 73. \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 459 and 959.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 459 and 959, 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 17^12 modulo 82.",
"role": "human"
},
{
"content": "Let's calculate 17^12 modulo 82. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 588 and 706.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 588 and 706, 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 908 and 16.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 908 and 16, 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 60.",
"role": "human"
},
{
"content": "Let's calculate 17! modulo 60. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (facto... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 978 and 440.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 978 and 440, 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 32.",
"role": "human"
},
{
"content": "Let's calculate 4! modulo 32. \n\nFirst, let's break this down:\n\n1) We need to calculate 4! (factoria... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 13! modulo 71.",
"role": "human"
},
{
"content": "Let's calculate 13! modulo 71. \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 540 and 773.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 540 and 773, 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 24 and 958.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 24 and 958, 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 949 and 707.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 949 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": "Find the greatest common divisor of 206 and 710.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 206 and 710, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 16^9 modulo 40.",
"role": "human"
},
{
"content": "Let's calculate 16^9 modulo 40. \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 19^17 modulo 57.",
"role": "human"
},
{
"content": "Let's calculate 19^17 modulo 57. \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 53.",
"role": "human"
},
{
"content": "Let's calculate 13! modulo 53. \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 2! modulo 20.",
"role": "human"
},
{
"content": "Let's calculate 2! modulo 20. \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 16^12 modulo 60.",
"role": "human"
},
{
"content": "Let's calculate 16^12 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": "Find the greatest common divisor of 242 and 480.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 242 and 480, 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 71.",
"role": "human"
},
{
"content": "Let's calculate 14! modulo 71. \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 116 and 809.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 116 and 809, 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 327 and 77.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 327 and 77, 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 3^13 modulo 36.",
"role": "human"
},
{
"content": "Let's calculate 3^13 modulo 36. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 17! modulo 26.",
"role": "human"
},
{
"content": "Let's calculate 17! modulo 26. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (facto... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 14! modulo 57.",
"role": "human"
},
{
"content": "Let's calculate 14! modulo 57. \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 2! modulo 63.",
"role": "human"
},
{
"content": "Let's calculate 2! modulo 63. \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 5^16 modulo 51.",
"role": "human"
},
{
"content": "Let's calculate 5^16 modulo 51. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 14^3 modulo 74.",
"role": "human"
},
{
"content": "Let's calculate 14^3 modulo 74. \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 894 and 791.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 894 and 791, 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 7^5 modulo 70.",
"role": "human"
},
{
"content": "Let's calculate 7^5 modulo 70. \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 437 and 503.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 437 and 503, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 12^20 modulo 92.",
"role": "human"
},
{
"content": "Let's calculate 12^20 modulo 92. \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 166 and 970.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 166 and 970, 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 94.",
"role": "human"
},
{
"content": "Let's calculate 5! modulo 94. \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 16^17 modulo 47.",
"role": "human"
},
{
"content": "Let's calculate 16^17 modulo 47. \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 17! modulo 3.",
"role": "human"
},
{
"content": "Let's calculate 17! modulo 3. \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 14! modulo 9.",
"role": "human"
},
{
"content": "Let's calculate 14! modulo 9. \n\nFirst, let's break this down:\n\n1) We need to calculate 14! (factori... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 14! modulo 21.",
"role": "human"
},
{
"content": "Let's calculate 14! modulo 21. \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 1^2 modulo 57.",
"role": "human"
},
{
"content": "Let's calculate 1^2 modulo 57. \n\nTo do this efficiently, we can use the concept of modular exponenti... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 16^10 modulo 33.",
"role": "human"
},
{
"content": "Let's calculate 16^10 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 4^18 modulo 30.",
"role": "human"
},
{
"content": "Let's calculate 4^18 modulo 30. \n\nTo do this efficiently, we can use the concept of modular exponen... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 17^11 modulo 44.",
"role": "human"
},
{
"content": "Let's calculate 17^11 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 17^10 modulo 16.",
"role": "human"
},
{
"content": "Let's calculate 17^10 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 369 and 923.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 369 and 923, 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 109 and 483.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 109 and 483, 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 13^14 modulo 12.",
"role": "human"
},
{
"content": "Let's calculate 13^14 modulo 12. \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 2^5 modulo 74.",
"role": "human"
},
{
"content": "Let's calculate 2^5 modulo 74. \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 860 and 446.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 860 and 446, 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 6^6 modulo 14.",
"role": "human"
},
{
"content": "Let's calculate 6^6 modulo 14. \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 14! modulo 70.",
"role": "human"
},
{
"content": "Let's calculate 14! modulo 70. \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 17^19 modulo 52.",
"role": "human"
},
{
"content": "Let's calculate 17^19 modulo 52. \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 110 and 785.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 110 and 785, 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 810 and 47.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 810 and 47, 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 2^16 modulo 10.",
"role": "human"
},
{
"content": "Let's calculate 2^16 modulo 10. \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 18^16 modulo 71.",
"role": "human"
},
{
"content": "Let's calculate 18^16 modulo 71. \n\nTo do this efficiently, we can use the concept of modular expon... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 4^12 modulo 39.",
"role": "human"
},
{
"content": "Let's calculate 4^12 modulo 39. \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 566 and 705.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 566 and 705, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 16^14 modulo 3.",
"role": "human"
},
{
"content": "Let's calculate 16^14 modulo 3. \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! modulo 44.",
"role": "human"
},
{
"content": "Let's calculate 5! modulo 44. \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! modulo 38.",
"role": "human"
},
{
"content": "Let's calculate 19! modulo 38. \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 719 and 727.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 719 and 727, we can use the Euclidean a... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Calculate 17! modulo 52.",
"role": "human"
},
{
"content": "Let's calculate 17! modulo 52. \n\nFirst, let's break this down:\n\n1) We need to calculate 17! (facto... |
[
{
"content": "You are a helpful assistant which is good at math, coding, chess and logic.",
"role": "system"
},
{
"content": "Find the greatest common divisor of 373 and 340.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 373 and 340, 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 699 and 970.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 699 and 970, 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 5^5 modulo 15.",
"role": "human"
},
{
"content": "Let's calculate 5^5 modulo 15. \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 315 and 989.",
"role": "human"
},
{
"content": "To find the greatest common divisor of 315 and 989, 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 93.",
"role": "human"
},
{
"content": "Let's calculate 11! modulo 93. \n\nFirst, let's break this down:\n\n1) We need to calculate 11! (facto... |
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