
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 $g(x)=2-x^3$ and $f(g(x))=x^3-2x$, then compute $f(0)$.
A) $3 - 2\sqrt[3]{2}$
B) $2 - 2\sqrt[3]{2}$
C) $3 - 3\sqrt[3]{2}$
D) $2\sqrt[3]{2} - 2$

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