
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 comprises $m$ band members distributed in each of $r$ rows, where $m$ and $r$ are integers. The band consists of fewer than 120 members. The director arranges them in a rectangular formation, resulting in three members left over. If the director increases the number of members in each row by 2 and reduces the number of rows by 1, the new formation perfectly accommodates all the band members. Determine the largest possible number of band members.

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