185. Find the numbers that give a remainder of 4 when divided by 19, and a remainder of 1 when divided by 11.
185. Denoting the quotient respectively by $x$ and $y$, we get the equation $19 x+4=11 y+1$, from which $x=11 t+1$, $y=19 t+2$; therefore, the desired number is $209 t + 23$, where $t \geqslant 0$.

Answer. $23, 232, 441, \ldots$.