CR-MO 2006 Problem 4

Let $f$ be a function that satisfies : $f(x)+2f\left(\frac{x+\frac{2001}2}{x-1}\right) = 4014-x.$ Find $f(2004)$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.