
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
Given an integer \( n \geq 2 \), let \( f(n) \) be the second largest positive divisor of \( n \). For example, \( f(12)=6 \) and \( f(13)=1 \). Determine the largest positive integer \( n \) such that \( f(n)=35 \).

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