
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
To prevent some students from cheating by using question-searching software during exams, the question-setting team assigns 5 teachers to adapt the three types of questions in the math paper: multiple-choice questions, fill-in-the-blank questions, and essay questions. The number of different assignment methods in which each type of question is assigned to at least one teacher is ______.

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