
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
If $120$ is divided into three parts that are proportional to $1$, $\frac{1}{2}$, $\frac{1}{4}$, what is the middle part?
**A)** $32\frac{4}{7}$
**B)** $33\frac{1}{7}$
**C)** $34\frac{2}{7}$
**D)** $35\frac{1}{3}$
**E)** $36$

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