
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
Evaluate the fraction formed by the sum of an even integer sequence and a sequence of multiples of four:
\[
\dfrac{4+8+12+\cdots+44}{4+8+12+\cdots+68}=
\]
A) $\dfrac{11}{34}$
B) $\dfrac{22}{51}$
C) $\dfrac{1}{2}$
D) $\dfrac{11}{51}$
E) $\dfrac{44}{102}$

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