
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
When simplified, $\log_{16}{32} \cdot \log_{16}{\frac{1}{2}}$ becomes:
**A)** $-\frac{1}{4}$
**B)** $-\frac{5}{16}$
**C)** $\frac{5}{16}$
**D)** $-\frac{1}{16}$
**E)** $0$

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