
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
Alice and Bob are playing the Smallest Positive Integer Game again. Alice says, "My number is 30." Bob replies, "What an odd choice for the smallest number! Every prime factor of your number is also a prime factor of my number, plus my number must include at least one prime factor that is not in yours."

What is the smallest possible number that Bob could have?

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