
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
Consider finding the result when we compute the series $$1^3 + 2^3 + 3^3 + \dots + 49^3 + 50^3$$ and the series $$(-1)^3 + (-2)^3 + (-3)^3 + \dots + (-49)^3 + (-50)^3,$$ then subtract the second series' result from the first series' result. What is the sum?

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