
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 group of students is lining up for a school event. They realize that if they try to form groups of 3, there is 1 student left over. If they make groups of 5, there are 3 students left over, and if they form groups of 8, there are 4 students left over. What is the smallest number of students that could be in this group?

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