$\begin{array}{c}\text { 10. (20 points) Let } \\ f(x)=x^{5}-3 x^{3}+2 x^{2}+3 x+6 \text {, } \\ \text { and let } A_{n}=\prod_{k=1}^{n} \frac{(4 k-3) f(4 k-3)}{(4 k-1) f(4 k-1)} \text {. Find the value of } A_{25} \text { . }\end{array}$