
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 set of $60$ numbers is $42 \times 60$. If the set has three numbers discarded, namely $50$, $60$, and $55$, calculate the arithmetic mean of the remaining set of numbers.

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