VMO 1999 Problem 4

Find the maximum value of 2/( $x^2$ + 1) - 2/( $y^2$ + 1) + 3/( $z^2$ + 1) for positive reals x, y, z which satisfy xyz + x + z = y.

Community text Kalva (prase.cz mirror). Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.