
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
Arrange the natural numbers that are divisible by both 5 and 7 in ascending order starting from 105. Take the first 2013 numbers. What is the remainder when the sum of these 2013 numbers is divided by 12?

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