
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
One integer was removed from the set  $S=\left \{ 1,2,3,...,n \right \}$  of the integers from  $1$  to  $n$ . The arithmetic mean of the other integers of  $S$  is equal to  $\frac{163}{4}$ .
What integer was removed ?

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