
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
$(1)$ Solve the system of inequalities: $\left\{\begin{array}{l}{\frac{x+2}{5}＜1}\\{3x-1≥2x}\end{array}\right.$; <br/>$(2)$ Calculate: $(m-\frac{1}{m})\cdot \frac{m^2-m}{m^2-2m+1}$.

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