
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 that the arithmetic mean of a set of 60 numbers is 75. If three numbers, 70, 80, and 90, are removed from the set, calculate the new arithmetic mean of the remaining numbers.

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