
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 \(\frac{m}{n} = \frac{5}{2}\) and \(\frac{r}{t} = \frac{7}{8}\), find the value of \(\frac{3mr - nt}{4nt - 7mr}\).
A) \(\frac{22}{181}\) 
B) \(-\frac{22}{181}\) 
C) \(\frac{89}{181}\)
D) \(-\frac{89}{181}\)

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