
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
For each positive integer  $n$ , write the sum  $\sum_{m=1}^n 1/m$  in the form  $p_n/q_n$ , where  $p_n$  and  $q_n$  are relatively prime positive integers.  Determine all  $n$  such that 5 does not divide  $q_n$ .

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