Mused

The student mused over the complexities of the math problem.

The detective mused over the clues at the crime scene.

He mused about what his life would have been like if he had made different choices.

"The professor mused over the complexities of the theory."

He often mused about the fragility of life and the inevitability of death.

She mused over the humorous skit performed by her theater group.

She often mused about the meaning of life and the purpose of human existence.