
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 $P$ be the least common multiple (LCM) of all integers from $20$ to $40$. Let $Q$ be the LCM of $P$ and the integers $41$ through $50$. What is the value of $\frac{Q}{P}$?
A) $234$
B) $55541$
C) $7860$
D) $1024$

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