
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
 $\textbf{Problem 5.}$  Miguel has two clocks, one clock advances  $1$  minute per day and the other one goes  $15/10$  minutes per day. 
If you put them at the same correct time, What is the least number of days that must pass for both to give the correct time simultaneously?

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