
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
It is said that when asked how many students he had, the ancient Greek mathematician Pythagoras answered as follows: "Half of my students study mathematics, a quarter study nature, a seventh spend their time in silent contemplation, and the remaining part consists of 3 maidens." How many students did Pythagoras have?

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