
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 the arithmetic sequence $\{a_n\}$, if $a_5=1$ and $a_1 + a_7 + a_{10} = a_4 + a_6$, then the sum of the first 10 terms, $S_{10}$, is equal to?

A) $- \frac{2}{3}$
B) $\frac{8}{3}$
C) $5$
D) $\frac{25}{3}$

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