
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 symposium will hold a series of lectures with seven different lecturers. Dr. Smith's lecture depends on Dr. Jones's lecture, so Dr. Smith must be scheduled at some time after Dr. Jones. Additionally, Dr. White's lecture depends on both Dr. Jones's and Dr. Smith's lectures, so Dr. White must speak after both of them. In how many ways can the seven lecturers be scheduled?

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