
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
Five pirates found a treasure chest full of gold coins and divided it among themselves. It is known that:

- What the first pirate received is equivalent to half of what the other four received combined.
- What the second pirate received is equivalent to one third of what the other four received combined.
- What the third pirate received is equivalent to one fourth of what the other four received combined.
- What the fourth pirate received is equivalent to one fifth of what the other four received combined.

If the fifth pirate received 90 coins, determine how many coins were in the chest before the division.

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