Another one, OMG
For positive integer [unparseable or potentially dangerous latex formula] define [unparseable or potentially dangerous latex formula] to be the minimum value of the sum
[unparseable or potentially dangerous latex formula]
where [unparseable or potentially dangerous latex formula] are positive real numbers whose sum is [unparseable or potentially dangerous latex formula] There is a unique positive integer [unparseable or potentially dangerous latex formula] for which [unparseable or potentially dangerous latex formula] is also an integer. Find this [unparseable or potentially dangerous latex formula]