
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 $\frac{m}{n} = \frac{3}{5}$ and $\frac{r}{t} = \frac{8}{9}$, find the value of $\frac{3m^2r - nt^2}{5nt^2 - 9m^2r}$.

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