Futurama
The Prisoner of Benda
Season 6 Episode 10 – first aired on Aug. 19, 2010
A revolutionary invention allows the crew members to exchange minds.
Quotes:
Amy: [in Farnsworth's body] Oh no! Can we switch back using four or more bodies?
Professor Farnsworth: [in Bender's body] I'm not sure. I'm afraid we need to use... MATH.