
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 talk for 90 minutes to a full auditorium. Thirty percent of the audience heard the entire talk, and fifteen percent slept through the entire talk. Half of the remainder heard one quarter of the talk, and the other half heard three quarters of the talk. Calculate the average number of minutes of the talk heard by members of the audience.

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