
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 any real number $b$ and positive integer $m$, define
\[
{b \choose m} = \frac{b(b-1)(b-2)\cdots(b-(m-1))}{m(m-1)(m-2)\cdots(2)(1)}
\]
What is
\[
{-\frac{3}{2} \choose 50} \div {\frac{3}{2} \choose 50}?
\]
A) -103
B) -101
C) -99
D) 101
E) 103

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