
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
Let Akbar and Birbal together have  $n$  marbles, where  $n > 0$ .
Akbar says to Birbal, “ If I give you some marbles then you will have twice as many marbles as I will have.” 
Birbal says to Akbar, “ If I give you some marbles then you will have thrice as many marbles as I will have.”
What is the minimum possible value of  $n$  for which the above statements are true?


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