
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
A new type of quiz called the XYZ Quiz has guidelines where 5 points are awarded for each correct answer, 3 points for each unanswered question, and zero points for incorrect answers. There are 30 questions in total. Some scores between 0 and 150 are unique in the sense that they can be achieved in only three distinct combinations of correct, unanswered, and incorrect answers. Determine the sum of these specific scores.
A) 150
B) 184
C) 187.5
D) 220

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