
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
The fraction:
\[\frac{\left(5^{1004}\right)^4-\left(5^{1002}\right)^4}{\left(5^{1003}\right)^4-\left(5^{1001}\right)^4}\]
simplifies to which of the following?
A) 5
B) 10
C) 15
D) 20
E) 25

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