
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 cube is rotated around a specified axis so that a marked face rotates in the indicated manner. To which vertex number does point \(A\) move?

![](https://cdn.mathpix.com/cropped/2024_05_06_0973a8d23c1bf92cb27dg-02.jpg?height=500&width=1068&top_left_y=646&top_left_x=208)

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