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Inspired by Siddharth Bhatt

Algebra Level 2

If

$\frac{x}{y} + \frac{y}{z} + \frac{z}{x} = 0,$

which of the following is true?

x^2 y + y^2z + z^2 x = 0

x + y + z = 0

x^3 + y^3 + z^3 = 0

xy^2 + yz^2 + zx^2 = 0

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by Chung Kevin

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