1
general::
Phrase(s): think something over
to think about something and whether one will choose to do it. • I need a few minutes to think it over. • Let me think over your request for a day or so.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Ponder, reflect about, especially with a view to making a decision. For example, I'll have to think it over carefully before I can say yes or no. [Mid-1800s]
American Heritage Idioms