
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

When the boy Clive approached his grandfather's wall cuckoo clock, it was 12:05.

Clive started spinning the minute hand with his finger until the hour hand returned to its original position. How many "cuckoos" did the grandfather count in the neighboring room during this time?

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