PUMaC 2012 Algebra B Problem 4

Past Contests PUMaC PUMaC - 2012 Algebra B
1

If x, y, and z are real numbers with \frac{x-y}{z}+\frac{y-z}{x}+\frac{z-x}{y}=36, find

2012+\frac{x-y}{z} \cdot \frac{y-z}{x} \cdot \frac{z-x}{y}