
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 $c_1, c_2, \ldots$ and $d_1, d_2, \ldots$ be arithmetic progressions with $c_1 = 15$ and $d_1 = 85$. If $c_{150} + d_{150} = 150$, find the sum of the first 150 terms of the progression $c_1 + d_1, c_2 + d_2, \ldots$
**A)** 15000
**B)** 18550
**C)** 18700
**D)** 19500
**E)** 20000

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