
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find the smallest positive solution to the following system of congruences:
\begin{align*}
3x &\equiv 9 \pmod{12} \\
5x + 4 &\equiv 14 \pmod{7} \\
4x - 3 &\equiv 2x + 5 \pmod{17} \\
x &\equiv 4 \pmod{11}
\end{align*}

Present the answer in LaTex format: \boxed{Your answer}
user