\[\boxed{\text{1193\ (1193).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[37^{3} + 23^{3} =\]
\[= (37 + 23)\left( 37^{2} - 23 \cdot 37 + 23^{2} \right) =\]
\[60 \cdot \left( 37^{2} - 23 \cdot 37 + 23^{2} \right) -\]
\[делится\ на\ 60.\ \]
\[\boxed{\text{1193.\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[9x + 7y = 35\ \ и\ \ \ \]
\[x + \text{by} = - 20;\ \ x = 0\]
\[0 + 7y = 35\]
\[7y = 35\]
\[y = 5.\]
\[x + \text{by} = - 20\]
\[0 + 5b = - 20 \Longrightarrow \ \ b = - 4\]
\[Ответ:\ b = - 4.\]