
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
Decompose the fraction
\[\frac{1}{x(x + 1)(x + 2)(x + 3)(x - 4)}\]
into partial fractions where
\[\frac{1}{x(x+1)(x+2)(x+3)(x-4)} = \frac{A}{x} + \frac{B}{x+1} + \frac{C}{x+2} + \frac{D}{x+3} + \frac{E}{x-4}\]
and find $A + B + C + D + E.$

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