
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 go rowing. If they take the large boat, besides one boat that seats 6 people, the rest each seat 17 people; if they take the small boat, besides one boat that seats 2 people, the rest each seat 10 people. If the number of students is more than 100 but less than 200, what is the number of students?

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