
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 regular tetrahedron \(A B C D\) is given. Through each of its edges and the midpoint of the opposite edge, a plane is drawn (i.e., a total of 6 planes are drawn, for example, one of the planes passes through the edge \(A B\) and the midpoint of the edge \(C D\)). Into how many parts is the tetrahedron divided by these planes?

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