
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 \( g(m) \) as:
\[
g(m) =
\begin{cases}
m^2 + 1 & \text{if } m < 5, \\
2m + 3 & \text{if } m \geq 5.
\end{cases}
\]
Calculate \( g(g(g(g(3)))) \).

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