HMMT 2005 U39

How many regions of the plane are bounded by the graph of

$x^{6}-x^{5}+3 x^{4} y^{2}+10 x^{3} y^{2}+3 x^{2} y^{4}-5 x y^{4}+y^{6}=0 ?$

Dataset text NuminaMath olympiads. Quoted with source.

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