
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 uses $m$ band members arranged in each of $r$ rows. The same band has fewer than 100 members. Upon arranging them, the director finds he has three members left over. If the director increases the number of members in each row by 1 but decreases the number of rows by 3, he can exactly fit all the band members with no one left. What is the largest possible number of members this band could have?

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