
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
60 percent of the audience heard some part of the talk, with 10 percent hearing the entire talk and 50 percent of the remaining 50 percent hearing one third of the talk, while the other half hearing two thirds 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}
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