# With greater power, comes greater responsibility!

How many positive integers $n$ satisfy the following equation:

$n^5 -80 n^3 =10 n^4 + 260 n^2 + 400 n + 242$



Difficulty $-$ Sharper than most $\Large \dagger \dagger \dagger \color{grey}{~ \dagger ~\dagger}$

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