IMO Shortlist 1998 problem N1
Dodao/la:
arhiva2. travnja 2012. Determine all pairs

of positive integers such that

is divisible by

.
%V0
Determine all pairs $(x,y)$ of positive integers such that $x^{2}y+x+y$ is divisible by $xy^{2}+y+7$.
Izvor: Međunarodna matematička olimpijada, shortlist 1998