
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
Given the robot has one glove and one ring for each of its six arms, and the glove must be put on before the ring on each arm, calculate the number of different orders in which the robot can put on its gloves and rings.

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