MathDB
2018 PUMaC Live Round Miscellaneous 2

Source:

January 13, 2019
PuMACLive Roundcomplex numbers

Problem Statement

What is the sum of the possible values for the complex number aa such that the coefficient of the x5x^5 term in the power series expansion of x3+ax2+3x42x2+ax+2\tfrac{x^3+ax^2+3x-4}{2x^2+ax+2} is 1?1?