1996 AIME Problems/Problem 3
Problem
Find the smallest positive integer 
for which the expansion of 
, after like terms have been collected, has at least 1996 terms.
Solution
We can factor that into
Now that has at least 1996 terms. Therefore, each of the two factors has at least 
terms. When y-3 has x terms, n=x-1. Therefore, n=998-1=997
