
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 chest of gold coins is to be divided among 15 pirates under the following rule: the $j^\text{th}$ pirate takes $\frac{j}{15}$ of the coins that remain in the chest. Determine the smallest initial number of coins so that each pirate receives a whole number of coins, and calculate how many coins the last pirate (15th) receives.
A) 3850
B) 1925
C) 512512
D) 172800
E) 129600

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