
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
Fifteen boys are standing around a circle. A ball is initially with the first boy, Tom, who starts the game by throwing the ball. Tom skips the next four boys and throws the ball to the sixth boy. Each subsequent boy follows the same pattern of skipping the next four boys and throwing the ball to the sixth boy from him. If the throwing pattern continues, including Tom's initial throw, how many total throws are necessary for the ball to return to Tom?

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