
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]


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A certain high school is planning to hold a coming-of-age ceremony for senior students on the "May Fourth" Youth Day to motivate the seniors who are preparing for the college entrance examination. The Student Affairs Office has prepared five inspirational songs, a video speech by an outstanding former student, a speech by a teacher representative, and a speech by a current student. Based on different requirements, find the arrangements for this event.<br/>$(1)$ If the three speeches cannot be adjacent, how many ways are there to arrange them?<br/>$(2)$ If song A cannot be the first one and song B cannot be the last one, how many ways are there to arrange them?<br/>$(3)$ If the video speech by the outstanding former student must be before the speech by the current student, how many ways are there to arrange them? (Provide the answer as a number)

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