# Told by Integer

Algebra Level 2

"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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