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The Mathcamp Puzzle Junta

Due to a freak time travel incident, chaos has engulfed Mathcamp! Many of our cherished traditions have been distorted. You must assemble a crack team, the Mathcamp Puzzle Junta, to return everything to normalcy. They must be independent and steadfast. Who is this group of people?

Plate Quiz
Cape Tuesday
The D I
Name for the Galaxy
Lemon Ratings
Fifth Third Library of MCSP
Vroom Vroom
Hand Functions
Dans’ Conditioner