
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
Let \( B \) be the set of positive integers that have no prime factors other than \( 2 \), \( 3 \), \( 5 \), and \( 7 \). Calculate the infinite sum of the reciprocals of the elements of \( B \) which can be expressed as \( \frac{m}{n} \), where \( m \) and \( n \) are coprime positive integers. What is \( m + n \)?
A) 42  
B) 43  
C) 44  
D) 45

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