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$2arcsin(-\frac{1}{2})+arctg(-1)+arccos\frac{\sqrt2}{2}=2\cdot (-\frac{\pi}{6})-\frac{\pi}{4}+\frac{\pi}{4}=-\frac{\pi}{3}\\\\\\arctg(-\frac{\sqrt3}{3})+arccos(-\frac{1}{2})+arcsin1=-\frac{\pi}{6}+(\pi -arccos\frac{1}{2})+\frac{\pi}{2}=\\\\=-\frac{\pi}{6}+(\pi -\frac{\pi}{3})+\frac{\pi}{2}=-\frac{\pi}{6}+\frac{2\pi}{3}+\frac{\pi}{2}= \frac{-\pi +4\pi +3\pi }{6} = \pi \\$