Question 5
Find all integer $n$, that satisfy the following equality:
$$
(n-1)(n-3)(n-5)\dots(n-2011) = n(n+2)(n+4)\dots(n+2010).
$$
$$
(n-1)(n-3)(n-5)\dots(n-2011) = n(n+2)(n+4)\dots(n+2010).
$$
MathNet 2011 Question 5
Math Olympiad Vault · MathNet 2011