
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
A choir wishes to arrange its singers in a formation without unfilled positions. If the singers are arranged in a square formation, there are 11 members left over. Additionally, the director realizes that arranging the singers in a rectangle with 3 more rows than columns uses all members with no left-over. Determine the maximum number of members the choir could have under these conditions.

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