Table: astaire_performances_2
Columns: date
theatre_studio_or_network
role
dance_partner
director

Question: Who was the director where the role was Fred Ayres?
SQL: SELECT "director" FROM astaire_performances_2 WHERE "role" = 'fred ayres'

Question: What was the theatre where Peter P. Peters is the role?
SQL: SELECT "theatre_studio_or_network" FROM astaire_performances_2 WHERE "role" = 'peter p. peters'