
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
Consider a list of seven positive integers, where the mean is $15$, the range is $25$, and the mode and median are both $10$. How many different values are possible for the third largest element of this list?
A) 4
B) 6
C) 8
D) 10
E) 12

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