
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
For what base-8 digit $d$ is $3dd7_8$ divisible by the base 10 number 13? (Here $3dd7_8$ represents a base-8 number whose first digit is 3, whose last digit is 7, and whose middle two digits are both equal to $d$).

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