
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
When $n$ standard 8-sided dice are rolled, the probability of obtaining a sum of 1504 is greater and the same as the probability of obtaining a sum of $S$. Find the smallest possible value of $S$.
A) 180  
B) 184  
C) 188  
D) 192  
E) 196

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