A2. For which integer $n$ does the following hold

$$
(n-1)(n-3) \ldots(n-2015)=n(n+2)(n+4) \ldots(n+2014) ?
$$

(A) -4028
(B) -2014
(C) 2015
(D) 4030
(E) None.
A2. If $n$ is an odd integer, the left side of the equation is even, while the right side is odd. Therefore, the equation is not satisfied for odd integers. Similarly, if $n$ is an even integer, the left side of the equation is odd, while the right side is even. Thus, no integer satisfies the equation.