
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
For how many integers \( n \) between \( 1 \) and \( 60 \), inclusive, is the expression \[ \frac{(n^2 + n - 1)!}{(n+1)!^n} \] an integer?
A) 45
B) 50
C) 55
D) 60
E) 58

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