
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

Perform the following operations:

1. 

$$
\frac{a^{2}+a b+b^{2}}{a+b}-\frac{a^{2}-a b+b^{2}}{a-b}+\frac{2 b^{2}-b^{2}+a^{2}}{a^{2}-b^{2}}
$$

2. 

$$
\left[\frac{a+b}{2(a-b)}-\frac{a-b}{2(a+b)}+\frac{2 b^{2}}{a^{2}-b^{2}}\right] \times \frac{a-b}{2 b}
$$

3. 

$$
\left(s-3+\frac{5 x}{2 x-6} \div 2 x-1+\frac{15}{x-3}\right)
$$

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