
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 rectangular band formation is a formation with $m$ band members in each of $p$ rows, where $m$ and $p$ are integers. The director arranges them in a rectangular formation and finds that he has three members left over. If he increases the number of members in each row by 2 and reduces the number of rows by 3, there are exactly enough places in the new formation for each band member. Also, the total members are less than 100. What is the largest number of members the band could have?

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