
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 \(\mathcal{V}\) be the volume enclosed by the graph
\[ 
x^{2016} + y^{2016} + z^{2} = 2016 
\]
Find \(\mathcal{V}\) rounded to the nearest multiple of ten.

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