
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
Evaluate the following sums:
$$3(1^3) + 3(2^3) + 3(3^3) + \dots + 3(10^3) + 3(11^3)$$ and $$3(-1^3) + 3(-2^3) + 3(-3^3) + \dots + 3(-10^3) + 3(-11^3),$$ then add the two results together.

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