Two questions today include a very cool number theory/algebra reasoning question and a graph of a type to make them think.
Difficulty: Medium. My absolute favorite question on the whole test. So cool how this works out.
Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest 2013
answer 23, answer 24. Published 4/29.