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IL-GILLIS 2013 Problem 3

    Let p(x)=x4−5773x3−46464x2−5773x+46p(x)=x^4-5773x^3-46464x^2-5773x+46 . Determine the sum of arctan⁡\arctan -s of its real roots.

    Dataset text AI-MO AoPS. Quoted with source.

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