
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
Arthur's clock gains 15 minutes per day. Oleg's clock gains 12 minutes per day. At a certain moment, both clocks showed the correct time. After how many days will this situation first repeat, if the clocks display time in a 12-hour format (i.e., there are 12 numbers on the clock)?

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