
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 group of 15 pirates decide to split a chest of gold coins among themselves. Each \( k^{\text{th}} \) pirate receives \( \frac{k}{15} \) of the remaining coins in the chest. To find the smallest initial number, \( x \), ensuring each pirate gets a whole number of coins, and determine how many coins the \( 15^{\text{th}} \) pirate receives.
A) 7200
B) 8442
C) 12960
D) 17280

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