\[\boxed{\mathbf{1271}\mathbf{.}}\]
\[1)\ 2\ arctg\ 1 - 3\arcsin\frac{\sqrt{3}}{2} =\]
\[= 2 \bullet \frac{\pi}{4} - 3 \bullet \frac{\pi}{3} = \frac{\pi}{2} - \pi = - \frac{\pi}{2};\]
\[2)\ 8\arccos\frac{\sqrt{2}}{2} + 6\ arctg\ \sqrt{3} =\]
\[= 8 \bullet \frac{\pi}{4} + 6 \bullet \frac{\pi}{3} = 2\pi + 2\pi = 4\pi.\]