
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
There are 3 teachers and 5 students taking a photo together. Teachers cannot sit at the far left, and no two teachers can sit next to each other. Determine the number of different seating arrangements.

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