
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
What is the result when we compute $$1^3 + 2^3 + 3^3 + 4^3 + \dots + 50^3 + 101^3 + 102^3 + 103^3 + \dots + 150^3 $$and  $$(-1)^3 + (-2)^3 + (-3)^3 + (-4)^3 + \dots + (-50)^3 + (-101)^3 + (-102)^3 + (-103)^3 + \dots + (-150)^3,$$and then add the two results?

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