
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
A census taker stands in front of Mrs. Wang's house and asks her: "You are 40 years old. What are the ages of the three orphans you adopted?" Mrs. Wang replies: "The product of their ages is equal to my age, and the sum of their ages is equal to the house number." The census taker looks at the house number and says: "I still can't determine their ages." What is Mrs. Wang's house number?

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