MathNet 2015-part-05 — 191 problems (EN–VI) Question 161

Which integer $n$ satisfies
$$(n - 1)(n - 3) \dots (n - 2015) = n(n + 2)(n + 4) \dots (n + 2014)$$
(A) -4028 (B) -2014 (C) 2015 (D) 4030 (E) None.