
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 speaker delivered a lecture for ninety minutes to an audience of 200 people. Fifteen percent of the audience heard the entire talk, while fifteen percent slept through the talk. Of the remainder, one fourth heard half of the talk, and the remaining three fourths heard one fourth of the talk. Calculate the average number of minutes of the lecture that each audience member heard.

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