
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 painted such that each face can be either red, white, blue, or green. Two colorings are considered indistinguishable if the two congruent cubes with those colorings can be rotated to match each other. How many distinguishable colorings are there?
A) 90
B) 92
C) 96
D) 100

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