Problem: Sentence1: He's packin' a piece!
Sentence2: He needed a piece of granite.
Q: Does the term piece mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: Play cards.
Sentence2: We played hockey all afternoon.
Q: Does the term play mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: Butchers often use machines to mince meat.
Sentence2: Mince the garlic.
Q: Does the term mince mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: The duties of citizenship are lost sight of in the wilderness of interests of individuals and groups.
Sentence2: A wilderness of masts in the harbor.
Q: Does the term wilderness mean the same thing in both these sentences?

Answer:
the same meaning