
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 clock shows 12 o'clock, the three hands are aligned. After how many minutes will the second hand first bisect the acute angle formed by the minute and hour hands?

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