
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
Set $A$ has $30$ elements, and set $B$ has $25$ elements. Some elements are shared between sets $A$ and $B$. What is the smallest possible number of elements in $A \cup B$?
A) 25  
B) 30  
C) 55  
D) 75  
E) 100

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