
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
Given a group of pirates dividing a treasure chest of gold coins, the kth pirate takes k/15 of the remaining coins, where k ranges from 1 to 15. Identify the smallest initial number of coins and determine the number of coins the 15th pirate receives.

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