
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 a given arithmetic series, the sum of the first $30$ terms is $300$, and the sum of terms from the $31^{st}$ to the $80^{th}$ is $3750$. Find the first term of the sequence.
A) \(\frac{-217}{16}\)
B) \(\frac{-215}{16}\)
C) \(\frac{-110}{8}\)
D) \(\frac{-217}{8}\)

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