
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
Three cars \(A, B\), and \(C\) simultaneously start from the same point on a circular track. \(A\) and \(B\) travel clockwise, while \(C\) travels counterclockwise. All cars move at constant (but pairwise different) speeds. Exactly 7 minutes after the start of the race, \(A\) meets \(C\) for the first time. After another 46 minutes, \(A\) and \(B\) meet for the first time. After how much time from the start of the race will all three cars meet for the first time?

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