
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
Starting with 100,000,000, Derek alternates by dividing by 5 and multiplying by 3 for 16 steps. What is the last integer in Derek's sequence formatted in the smallest base possible?

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