ponder over

I will first ponder over this difficult matter, and thereafter give thee an answer.

I would wish my readers to ponder over this matter, which gives much food for thought.

Before Kate left she gave Peter a complete list of directions for the baby's day and also a problem for him to ponder over.

For days, and even weeks did the crafty Pre ponder over this difficult problem, and try to solve it in ways the most opposite.

It is fascinating to ponder over tackle and bait and cunning calculated to take this rare denizen of the Gulf Stream.