Problem:
Find the plane defined by the following points:
${\left\{\frac{2}{3},-1,-\frac{13}{3}\right\}, \left\{-\frac{14}{3},-\frac{8}{3},\frac{4}{3}\right\}, \left\{\frac{1}{3},-1,-1\right\}}$.
Answer:
$15 (10 x+z)-429 y-464=0$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/convert_points_to_plane/5476.txt'}