
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
Five positive integers are each divided by 13, giving remainders of 3, 5, 7, 9, and 11 respectively. 

When the sum of these five integers is divided by 13, what is the remainder?

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