
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
Find the value of the expression \( 2a - \left( \frac{2a - 3}{a + 1} - \frac{a + 1}{2 - 2a} - \frac{a^2 + 3}{2a^{2-2}} \right) \cdot \frac{a^3 + 1}{a^2 - a} + \frac{2}{a} \) when \( a = 1580 \).

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