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Home » You Wont Believe What Happens After Hours—Fidelity Secrets Exposed! - Deep Underground Poetry

You Wont Believe What Happens After Hours—Fidelity Secrets Exposed! - Deep Underground Poetry

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 The population after 4 days is 2,025.

📌 #### 2025Question: What is the greatest common divisor of $ 3n + 7 $ and $ 5n + 11 $ for some positive integer $ n $?

📌 5(3n + 7) - 3(5n + 11) = 15n + 35 - 15n - 33 = 2

📌 If $ n $ is odd, then $ 3n $ and $ 5n $ are odd, so $ 3n + 7 $ and $ 5n + 11 $ are even. Hence, $ d = 2 $ is achievable.

📌 If $ n $ is even, both expressions are odd, so $ d = 1 $.

📌 Question: How many lattice points lie on the hyperbola $

📌 Solution: A lattice point is a point with integer coordinates. The hyperbola is given by:

📌 Multiply both sides by $ 400 $ (LCM of 25 and 16) to eliminate denominators:

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