
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
Let $a_1, a_2, \dots, a_{2020}$ be the roots of the polynomial
\[x^{2020} + x^{2019} + \dots + x^2 + x + 1365 = 0.\]
Compute
\[\sum_{n = 1}^{2020} \frac{a_n}{1 - a_n}.\]

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