
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
Define the function $g$ on the set of integers as follows:
\[ g(n)= \begin{cases} 
n-3 & \mbox{if } n \ge 500 \\
g(g(n+7)) & \mbox{if } n<500.
\end{cases} \]
Find $g(73)$.

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