
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
Each face of a regular cube is painted either red, blue, green, or yellow. Two colorings are considered indistinguishable if two congruent cubes with those colorings can be rotated so that their appearances are identical. How many distinguishable colorings are possible?
A) 48
B) 54
C) 60
D) 64
E) 72

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