
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 spider has one sock, one glove, and one shoe for each of its ten legs. In how many different orders can the spider put on its socks, gloves, and shoes, assuming that on each leg, the sock must be put on before the glove and the glove must be put on before the shoe?

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