
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 has the numbers 1, 2, 3, 4, 5, and 6 written on its six faces. The 1 is opposite to the 6, the 2 is opposite to the 5, and the 3 is opposite to the 4. The cube starts with the face showing the 6 facing downward. Determine the number of different sequences of the numbers 1, 2, 3, 4, 5, and 6 that can be recorded after 5 rolls.

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