
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
Hengzhou Middle School has 150 teachers, among which there are 15 senior teachers and 90 intermediate teachers. 30 teachers are sampled to participate in the staff representative conference. Calculate the number of senior, intermediate, and junior teachers selected.

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