
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
A certain type of algae in a marine biology laboratory triples in quantity every five hours. If there are initially 200 algae cells, how many hours will it take for the algae to grow to at least 145,800 cells?

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