1
general::
Also, bent upon. Determined, resolved, as in Jamie is bent on winning the math prize. This phrase, first recorded in 1762, always uses the past participle of the verb bend in the sense of "tend toward."
American Heritage Idioms
2
general::
Phrase(s): bent on doing something
Fig. determined to do something. • I believe you are bent on destroying the entire country. • I am bent on saving the planet.
McGrawhill's American Idioms And Phrasal Verbs