Q: Does the word "smile" mean the same thing in "She had a smile on her face." and "He always puts a smile on my face."?

A: the same meaning

Q: Does the word "work" mean the same thing in "This method doesn't work." and "How does your idea work in practice?"?

A: the same meaning

Q: Does the word "form" mean the same thing in "Sculpture is a form of art." and "To apply for the position, complete the application form."?

A: different meanings

Q: Does the word "carry" mean the same thing in "These bonds carry warrants." and "The restaurant carries an unusual name."?

A:
the same meaning