Cinderella Formula(2008)

The University of Tokyo is the most prestigious national and public university in Japan. A charismatic teacher who suffers cancer meets the poor-but-clever girl and he teaches how to overcome the barrier of the entrance examination of the most difficult top-notch university in Japan, as well as how to change a life. (Not to be confused with the 2016 Japanese remake by the same name of "Cinderella Formula")