2009 AMC 12B Problem 12

The fifth and eighth terms of a geometric sequence of real numbers are 7! and 8! respectively. What is the first term?

\textbf{(A)}\ 60\qquad \textbf{(B)}\ 75\qquad \textbf{(C)}\ 120\qquad \textbf{(D)}\ 225\qquad \textbf{(E)}\ 315

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.