
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 last 2 digits of
$$
2005 + 2005^{2} + 2005^{3} + \cdots + 2005^{2005}
$$
is:
(a) 00 ;
(b) 05 ;
(c) 25 ;
(d) 50 ;
(e) 75 .

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