\[\boxed{\mathbf{759\ (759).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[3 \cdot (x - 1)^{2} - 3x(x - 5) > - 40\]
\[3 \cdot \left( x^{2} - 2x + 1 \right) - 3x^{2} +\]
\[+ 15x + 40 > 0\]
\[3x^{2} - 6x + 3 - 3x^{2} + 15x +\]
\[+ 40 > 0\]
\[9x > - 43\]
\[x > - 4,8\]
\[Ответ:\ x_{\min} = - 4.\]