Problem:
Find the characteristic polynomial of the following matrix:
$\left(
\begin{array}{ccc}
 -\frac{35}{4} & -\frac{37}{4} & \frac{1}{4} \\
 \frac{1}{2} & \frac{5}{2} & \frac{3}{2} \\
 -\frac{25}{4} & \frac{17}{4} & -\frac{3}{2} \\
\end{array}
\right)$
Answer:
$-x^3-\frac{31 x^2}{4}+\frac{203 x}{16}+\frac{2765}{16}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/characteristic_polynomial/46180.txt'}