"My name is \(n\), I am an integer number. If you subtract \(5\) from me, I will be evenly divisible by \(6\).

If you subtract \(50\) from me, I will be evenly divisible by \(51\).

If you subtract \(55\) from me, I will be evenly divisible by \(56\).

Actually, if you subtract \(m\) (any integer) from me, I will be evenly divisible by \(m+1\)."

Assuming all the above is true, evaluate \(n\).

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