2022 AIME I Problems/Problem 15
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Problem
Let 
and 
be positive real numbers satisfying the system of equations:
Then ![$\left[ (1-x)(1-y)(1-z) \right]^2$](http://latex.artofproblemsolving.com/e/e/1/ee1ff4ecc5f5319e77a3c7a3d7e9534a9ec343da.png)
can be written as 
where 
and 
are relatively prime positive integers. Find 
