
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
Determine the value of $1000 \cdot (1000^{1000}) \div (500^{1000})$.
**A)** \(1001^{1000}\)
**B)** \(2^{1001} \cdot 500\)
**C)** \(1500^{1000}\)
**D)** \(5000^{2000}\)
**E)** \(2^{500} \cdot 1000^{1001}\)

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