
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 talked for 90 minutes to an auditorium of people. Thirty percent of the audience listened to the entire talk, while fifteen percent were not attentive throughout the entire talk. Of the rest of the audience, one third listened to half of the talk and the remaining two thirds listened to three quarters of the talk. Compute the average number of minutes of the talk that was listened to by an audience member.

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