
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
In an arithmetic series, the sum of the first $30$ terms is $450$, and the sum of the next $30$ terms is $1950$. Find the first term of the series.
A) $\frac{-55}{6}$
B) $\frac{-65}{6}$
C) $\frac{-75}{6}$
D) $\frac{-85}{6}$

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