
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
Four friends buy a gift together for $<<84>>. The first friend pays one third of the sum of the amounts paid by the other three friends; the second friend pays one fourth of the sum of the amounts paid by the other three friends; and the third friend pays one fifth of the sum of the amounts paid by the other three friends. Determine the amount paid by the fourth friend.

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