The history of Fermat's Last Theorem, recounted in the theatrical piece "Fermat's Last Tango," is a useful vehicle for introducing students to the variety of personalities, processes, and products involved in advanced mathematical investigation. The musical's accessible, informative, and positive portrayal of mathematicians and their work is discussed. The experience of mounting an all-student production in the spring of 2005 is described, and suggestions for related educational activities are offered. (Contains 5 figures.)