MathDB
Problem: 2004 AMC 10 #2

Source:

February 1, 2007

Problem Statement

For any three real numbers a a, b b, and c c, with bc b\neq c, the operation \otimes is defined by: \otimes(a,b,c) \equal{} \frac {a}{b \minus{} c} What is ((1,2,3),(2,3,1),(3,1,2)) \otimes(\otimes(1,2,3), \otimes(2,3,1),\otimes(3,1,2))? (A)\ \minus{}\!\frac {1}{2}\qquad (B)\ \minus{}\!\frac {1}{4}\qquad (C)\ 0\qquad (D)\ \frac {1}{4}\qquad (E)\ \frac {1}{2}