Mathemagics

Welcome, wizard, to the Mathemagics 42 Problem-Solving Challenge!

A magical realm of logic, reason, and occasionally, utter confusion.

Here's the challenge: we've got 42 problems for you to solve, and you've got 42 minutes to get it done.

Don't bother asking for help, or looking up answers. You're on your own, wizard. Good luck!

Start with Problem 1.