
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 the set A consist of positive integers that include only the prime factors 2, 3, or 5. Find the value of the sum of the reciprocals of all elements in set A, expressed as a fraction in simplest form.

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