
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
A math conference is expanding and now features seven different lecturers. Among these, Dr. Smith's lecture must occur after Dr. Jones's lecture, and Dr. Brown's lecture must occur after both Dr. Smith's and Dr. Jones's lectures. In how many different ways can the seven lecturers be scheduled?

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