olymmath

HMMT November 2024 U24

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Let f(x)=x2+6x+6f(x)=x^{2}+6 x+6. Compute the greatest real number xx such that f(f(f(f(f(x))))))=0\left.f(f(f(f(f(x)))))\right)=0.

Dataset text NuminaMath olympiads. Quoted with source.

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\sqrt[64]{3}-3

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