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Omni-MATH / Find all polynomials P with real coefficients such that (P(x))/(yz)+(P(y))/(zx)+(P(z))/(xy)=P(x−y)+P(y−z)+P(z−x) holds for all nonzero real numbers x,y,z satisfying 2xyz=x+y+z . · Discussion

Discussing Find all polynomials P with real coefficients such that (P(x))/(yz)+(P(y))/(zx)+(P(z))/(xy)=P(x−y)+P(y−z)+P(z−x) holds for all nonzero real numbers x,y,z satisfying 2xyz=x+y+z . · Omni-MATH

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