
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
Calculate the simplified form of the fraction
\[
\frac{\left(5^{1004}\right)^2-\left(5^{1002}\right)^2}{\left(5^{1003}\right)^2-\left(5^{1001}\right)^2}
\]
A) 20
B) 24
C) 25
D) 50
E) 100

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