
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 following expression:
\[
\frac{\left(5^{1010}\right)^2-\left(5^{1008}\right)^2}{\left(5^{1009}\right)^2-\left(5^{1007}\right)^2}
\]
A) 625
B) 25
C) 5
D) 1
E) 250

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