
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
What is the largest integer  $n$  with no repeated digits that is relatively prime to  $6$ ? Note that two numbers are considered relatively prime if they share no common factors besides  $1$ .

*Proposed by Jacob Stavrianos*

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