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Omni-MATH / Determine all f:R→R such that

Problem

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problem

Determine all f:RR f:R\rightarrow R such that f(xf(y)+y3)=yf(x)+f(y)3 f(xf(y)+y^3)=yf(x)+f(y)^3
Plain-text mathematical notation (without MathML)
Determine all f:R→R such that
f(xf(y)+y³)=yf(x)+f(y)³
Original LaTeX notation
Determine all $ f:R\rightarrow R $ such that
$$ f(xf(y)+y^3)=yf(x)+f(y)^3 $$

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