
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
The sum of the original set of $60$ numbers is $45 \cdot 60 = 2700$. If three numbers, $40$, $50$, and $60$, are discarded, the sum of the remaining set of numbers is $2700 - 150 = 2550$. Given that there are $57$ numbers remaining, calculate the arithmetic mean of the remaining set.

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