UA-UMO 2005 Problem 111

Solve in $\mathbb{R}$ the equation $\left| x -\frac{\pi}{6} \right|+\left| x+\frac{\pi}{3} \right|=\arcsin \frac{x^3-x+2}{2}.$

Dataset text AI-MO AoPS. 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.