
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 of all integers from $12$ to $25$, inclusive. Let $Q$ be the least common multiple of $P$, $26$, $27$, $28$, $29$, $30$, $31$, $32$, $33$, and $35$. What is the value of $\frac{Q}{P}$?
A) 644
B) 3348
C) 6744
D) 10788
E) 21656

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