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

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