Since the Olympiads are gone from this section, don't b afraid to post AMC/AIME questions...I'll start
Let [unparseable or potentially dangerous latex formula] be a 5-digit number, and let [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] be the quotient and remainder, respectively, when [unparseable or potentially dangerous latex formula] is divided by [unparseable or potentially dangerous latex formula] For how many values of [unparseable or potentially dangerous latex formula] is [unparseable or potentially dangerous latex formula] divisible by [unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]