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Given that $x$, $\frac{1}{x}$, $y$, $\frac{1}{y}$, $z$ and $\frac{1}{z}$ are all integers, how many distinct values of $x+ y+ z$ are possible?

 Sep 28, 2020
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The possible values of x + y + z are -3, -2 -1, 0, 1, 2, 3, so there are 7 possible values of x + y + z.

 Sep 28, 2020

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