
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 presenting a lecture series with seven different lecturers. If Dr. Smith's lecture depends on Dr. Jones's lecture so that Dr. Smith must be scheduled sometime after Dr. Jones, and additionally, Dr. Allen's lecture must occur after Dr. Brown's lecture, in how many orders can the seven lecturers be scheduled?

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