
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 real numbers $m$ and $n$ satisfying $3m^{2}+5m-3=0$ and $3n^{2}-5n-3=0$, and $mn\neq 1$, find the value of $\frac{1}{n^2}+\frac{m}{n}-\frac{5}{3}m$.

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