Mock AIME 2 2006-2007 Problems/Problem 2

Revision as of 14:15, 9 August 2006 by Xantos C. Guin (talk | contribs) (Mock AIME II 2007 hasn't ended yet, so the solution should not be posted.)

Problem

The set $\displaystyle S$ consists of all integers from $\displaystyle 1$ to $\displaystyle 2007,$ inclusive. For how many elements $\displaystyle n$ in $\displaystyle S$ is $\displaystyle f(n) = \frac{2n^3+n^2-n-2}{n^2-1}$ an integer?