
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 $M$ be the least common multiple of all integers from $15$ through $35$, inclusive. Let $N$ be the least common multiple of $M, 36, 37, 38, 39, 40, 41,$ and $42$. What is the value of $\frac{N}{M}$?
A) 37
B) 41
C) 74
D) 1517
E) 2886

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