
Puzzle over
Deep Thought
Indicates spending a long time thinking about something complex or confusing.

He puzzled over the mysterious poem, trying to unlock its meaning.
Problem Solving
Used when trying to find a solution to a difficult problem or situation.

They puzzled over how to fix the engine with the limited tools they had.
Mental Engagement
Requires active engagement of the mind, not just casual thinking.

The scientist spent nights puzzling over the data, seeking a breakthrough.
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