
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
If  $a^5 +5a^4 +10a^3 +3a^2 -9a-6 = 0$  where  $a$  is a real number other than  $-1$ , what is  $(a + 1)^3$ ? $ 
\textbf{a)}\ 1
\qquad\textbf{b)}\ 3\sqrt 3
\qquad\textbf{c)}\ 7
\qquad\textbf{d)}\ 8
\qquad\textbf{e)}\ 27
$ 

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