\[\boxed{\mathbf{57}.}\]
\[1)\ \frac{3x - 1^{\backslash 3}}{2} + \frac{2x + 1^{\backslash 2}}{3} < 2^{\backslash 6}\ \]
\[\ \ \ | \cdot 6\]
\[9x - 3 + 4x + 2 < 12\]
\[13x < 13\]
\[x < 1.\]
\[x_{наиб} = 0.\]
\[Ответ:x_{наиб} = 0.\]
\[2)\ \frac{1 - 4x^{\backslash 2}}{6} - \frac{2 - 3x^{\backslash 3}}{4} < - 1^{\backslash 12}\]
\[\ \ \ \ | \cdot 12\ \]
\[2 - 8x - 6 + 9x < - 12\]
\[x < - 8\]
\[x_{наиб} = - 9.\]
\[Ответ:\ x_{наиб} = - 9.\]