
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
Let $F(n)$ denote the sum of the even digits of $n$, and add such odd digits that the number itself is a multiple of 5 (e.g., if $n = 30$, add 3; if $n = 17$, add nothing). Calculate $F(1) + F(2) + \cdots + F(150)$.
A) 1800
B) 2025
C) 2150
D) 2350
E) 2500

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