HMMT November 2020 U6

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Answer

If $x, y, z$ are real numbers such that $x y=6, x-z=2$ , and $x+y+z=9$ , compute $\frac{x}{y}-\frac{z}{x}-\frac{z^{2}}{x y}$ . Proposed by: Ragulan Sivakumar

Dataset text NuminaMath olympiads. Quoted with source.

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