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MathNet 2000 — Math Olympiad Vault Question 165

Math Olympiad Vault · MathNet 2000 — Math Olympiad Vault

Question 165

What is the algebraic sum of the coefficients of the polynomial
$$\left(x^{21}+4x^2-3\right)^{2001}-\left(x^{21}+4x^2+3\right)^{667}+x^{21}+4x^2?$$