
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 $n_a!$ for $n$ and $a$ positive to be 
\[n_a ! = n (n-a)(n-2a)...(n-ka)\]
where $k$ is the greatest integer for which $n>ka$. Evaluate the ratio $36_5!/10_3!$.
A) $10000000$
B) $40455072$
C) $50000000$
D) $75000000$

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