
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 function \( f \) is defined on the set of integers, and satisfies the following conditions:
\[ 
f(n)=\left\{\begin{array}{l}
n - 3, \quad \text{if } n \geq 1000; \\
f(f(n+5)), \quad \text{if } n < 1000.
\end{array}\right.
\]
Find \( f(84) \).

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