
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 $\frac{p}{q} = \frac{5}{2}$ and $\frac{s}{u} = \frac{11}{7}$, find the value of $\frac{5ps - 3qu}{7qu - 2ps}$.
A) $-\frac{233}{14}$
B) $-\frac{233}{12}$
C) $-\frac{233}{10}$
D) $\frac{233}{12}$

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