
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
Consider resolving the rational function:
\[\frac{1}{(x-1)x(x+1)(x+2)(x+3)} = \frac{A}{x-1} + \frac{B}{x} + \frac{C}{x+1} + \frac{D}{x+2} + \frac{E}{x+3}\]
into partial fractions and find \( A + B + C + D + E \).

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