
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
The director of a choir wants to arrange the choir members in a formation that includes all members without leaving any positions unfilled. If they are arranged in a square formation, there are 6 members left over. However, when arranging the members in a rectangular formation with 6 more rows than columns, there are no members left over. Find the maximum number of members this choir can have.

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