MathDB
2006 SMT Algebra #9 - Figure out the Trick

Source:

August 24, 2011

Problem Statement

Principal Skinner is thinking of two integers mm and nn and bets Superintendent Chalmers that he will not be able to determine these integers with a single piece of information. Chalmers asks Skinner the numerical value of mn+13m+13nm2n2mn+13m+13n-m^2-n^2. From the value of this expression alone, he miraculously determines both mm and nn. What is the value of the above expression.