
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
There are 12 horses in a race, named Horse 1 through Horse 12, where Horse $k$ completes one lap in exactly $k$ minutes around a circular track. Initially, all horses start together. Identify the smallest amount of time, $T$, in minutes at which exactly 4 of any of these horses will simultaneously be at the starting point again.
A) 12
B) 24
C) 30
D) 60

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