
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 continuing to play the Smallest Positive Integer Game. Alice now says, "My number is 90." Bob responds, "Every prime factor of your number must also be a prime factor of my new number."

What is the smallest possible number that Bob could have?

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