
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
In a certain bacteria culture, the number of bacteria triples each day. The culture starts with 4 bacteria, and has 12 at the end of day 1, 36 at the end of day 2, and so on. What is the first day which ends with the culture having more than 500 bacteria?

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