
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
The highest common factors of all the pairs chosen from the positive integers \(Q, R\), and \(S\) are three different primes. What is the smallest possible value of \(Q + R + S\)?

A) 41  
B) 31  
C) 30  
D) 21  
E) 10

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