
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 GCD $d$ of the integers 663 and 182, and integers $u, v \in \mathbb{Z}$ such that $d = 663u + 182v$.

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