
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
Given the equation in terms of $x$: $4x^{2}-px+q=0$, which can be transformed by completing the square to $(x-\frac{1}{4})^2=\frac{33}{16}$, calculate the value of $\frac{q}{p}$.

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