
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 friends bought a boat for $\textdollar 120$. The first friend paid one third of the sum of the amounts paid by the other friends; the second friend paid one fourth of the sum of the amounts paid by the other friends; the third friend paid one fifth of the sum of the amounts paid by the other friends; and the fourth friend paid one sixth of the sum of the amounts paid by the other friends. Calculate the amount paid by the fifth friend.

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