(Solved): \( x \equiv 1 \bmod 3 \) \( x \equiv 9 \bmod 11 \) \( x \equiv 2 \bmod 5 \) \( x \equiv 6 \bmod 41 ...

\( x \equiv 1 \bmod 3 \) \( x \equiv 9 \bmod 11 \) \( x \equiv 2 \bmod 5 \) \( x \equiv 6 \bmod 41 \) Find the smallest nonnegative integer for \( \mathrm{x} \) such that \[ \begin{array}{l} x \equiv 1 \bmod 3 \\ x \equiv 9 \bmod 11 \\ x \equiv 2 \bmod 5 \\ x \equiv 6 \bmod 41 . \end{array} \]