rešavati

1. to solve
   Svako veče rešavam ukrštenice. — I do crosswords every evening.
   Deca rešavaju zadatke iz matematike. — The children are solving maths problems.
2. (o + loc.) to decide
   Sud će rešavati o tom slučaju sledeće nedelje. — The court will decide on that case next week.
3. (rešavati se + gen.) to get rid of
   Polako se rešavam starih stvari iz podruma. — I'm slowly getting rid of the old stuff in the basement.
4. (rešavati se da / na + acc.) to make up one's mind; to bring oneself to
   Dugo se rešavao da joj to kaže. — He took a long time to make up his mind to tell her.

The perfective is rešiti. In the sense 'get rid of', rešavati se takes the genitive; in the sense 'make up one's mind' it takes a da-clause or na + accusative.