
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 lines up for a sports team photo. They find that when they stand in rows of six, there are three people left over. When they form rows of seven students, there are four extra students, and when they lined up in rows of eight, there are five students left over. Additionally, when they attempt to line up in rows of nine, there are two students left over. What is the fewest number of students possible in this group?

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