
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 sequence 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, $\ldots$ consists of all positive multiples of 3 that contain at least one digit that is either a 3 or a 6. What is the $30^{\mathrm{th}}$ term of the sequence?

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