
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 forms a rectangular arrangement with $n$ members in each of $s$ rows, where $n$ and $s$ are integers. The choir has fewer than 150 members. The director finds that if he adds three extra members, they can be perfectly arranged without any leftover. When he tries to increase the number of members in each row by 2 and reduces the number of rows by 3, the arrangement still perfectly fits all members. What is the largest number of members the choir could have?

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