
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 $a,$ $b,$ $c$ be complex numbers such that:
\begin{align*}
ab + 5b &= -20, \\
bc + 5c &= -20, \\
ca + 5a &= -20.
\end{align*}
Enter all possible values of $abc$, separated by commas.

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