
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
Distribute $m$ exercise books to $n$ students. If each person receives $3$ books, there will be $8$ books left over. If each person receives $5$ books, the last student will have some exercise books but less than $5$ books. The value of $n$ is ______.

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