Help Please! Find the residue of \(182\cdot 12 - 15\cdot 7 + 3\pmod{14}\).
\(\begin{array}{|rcll|} \hline && \mathbf{182\cdot 12 - 15\cdot 7 + 3\pmod{14}} \\ &=& 2082 \pmod{14} \\ &=& 148*14 + 10 \pmod{14} \\ &=& 0 + 10 \pmod{14} \\ &=& \mathbf{ 10 \pmod{14} } \\ \hline \end{array}\)