
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 the operation $\&$ be defined as $\&(a, b, c) = b^3 - 3abc - 4ac^2$, for all real numbers $a, b$ and $c$. What is the value of $\&(2, -1, 4)$?

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