
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
Let  $d$  be the greatest common divisor of  $2^{30^{10}}-2$  and  $2^{30^{45}}-2$ .  Find the remainder when  $d$  is divided by  $2013$ .

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