
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
A clock currently shows 10:00. After how many minutes will the minute hand and the hour hand overlap for the first time? And after how many minutes will they overlap for the second time?

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