
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
An astronaut is planning to teach a course in space and conduct six experiments labeled as $0$, $1$, $2$, $3$, $4$, $5$. The experiment $0$ cannot be the first one, and the label of the last experiment must be smaller than the one preceding it. How many possible arrangements are there for the experiment sequence? (Answer with a number only.)

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