
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 
\[ g(x) = 
\begin{cases} 
-x^3 & \text{if } x \geq 0,\\ 
x + 6 & \text{if } x < 0. 
\end{cases} 
\]
Compute \( g(g(g(g(g(1))))) \).

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