
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
Let \[g(n) =
\begin{cases}
n^2+1 & \text{ if }n < 5,
\\ 2n+3 & \text{ if }n \geq 5.
\end{cases}
\]Find $g(g(g(3)))$.

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