Mock AIME II 2012 Problems
Revision as of 23:54, 4 April 2012 by Testingtesting (talk | contribs) (Created page with "==Problem 1== Given that <cmath>\left(\dfrac{6^2-1}{6^2+11}\right)\left(\dfrac{7^2-2}{7^2+12}\right)\left(\dfrac{8^2-3}{8^2+13}\right)\cdots\left(\dfrac{2012^2-2007}{2012^2+2017}...")
Problem 1
Given that ![\[\left(\dfrac{6^2-1}{6^2+11}\right)\left(\dfrac{7^2-2}{7^2+12}\right)\left(\dfrac{8^2-3}{8^2+13}\right)\cdots\left(\dfrac{2012^2-2007}{2012^2+2017}\right)=\dfrac{m}{n},\]](http://latex.artofproblemsolving.com/1/b/b/1bb17c1bc295194d9f50e1be9517bb7786bae42a.png)
where 
and 
are positive relatively prime integers, find the remainder when 
is divided by 
.
