"The professor manages to find the book."
Translation:Professorn lyckas hitta boken.
I think this is a matter of interpreting the given sentence in English. If we have "Even after working the whole day, she still manages to cook dinner for her family", then "manages" carries the idea of having the energy to do something = "orkar". However, "manages to find the keys" means "has success in finding the keys". "orkar leta efter booked", on the other hand, does not signify whether the search will be fruitful and therefore would not do for an alternate translation of our given sentence.