
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. This time, Alice says, "My number is 30." Bob replies, "What kind of smallest number is that? Every prime factor of your number is also a prime factor of my number, and vice versa."

What is the smallest possible number that Bob could have?

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