Problem:
Convert the following vector to spherical coordinates $(x, y, z) = (\sqrt{3}, \frac{1}{4}, 5)$
Answer:
$\left\{\frac{\sqrt{449}}{4},\tan ^{-1}\left(\frac{7}{20}\right),\tan ^{-1}\left(\frac{1}{4 \sqrt{3}}\right)\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/spherical_coordinates/25034.txt'}