
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
At a summary commendation meeting for the Gaokao (Chinese college entrance exam) held in a certain school, there are 3 math teachers, 2 English teachers, and 1 Chinese teacher giving typical speeches. Now, arrange the speaking order for these 6 teachers. The number of ways in which the 3 math teachers are not adjacent to each other is ________. (Please answer with a number.)

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