
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
Define  $\phi_n(x)$  to be the number of integers  $y$  less than or equal to  $n$  such that  $\gcd(x,y)=1$ . Also, define  $m=\text{lcm}(2016,6102)$ . Compute  $$ \frac{\phi_{m^m}(2016)}{\phi_{m^m}(6102)}. $$  

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