
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
We want to paint the faces of a cube with 6 different colors. Each face is labeled with a number from 1 to 6 in such a way that opposite faces have the numbers 1 and 6, 3 and 4, 2 and 5. How many different possibilities are there?

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