
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
Given a set of 100 numbers with an arithmetic mean of 45, find the new arithmetic mean of the remaining 98 numbers after removing 50 and 60 from the set.

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