
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
Suppose \(a, b, c, d\), and \(e\) are objects that we can multiply together, but the multiplication doesn't necessarily satisfy the associative law, i.e. \((x y) z\) does not necessarily equal \(x(y z)\). How many different ways are there to interpret the product \(a b c d e\)?

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