
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
The polynomial $(x+y)^{10}$ is expanded in decreasing powers of $x$. The third and fourth terms have equal values when evaluated at $x=p$ and $y=q$, where $p$ and $q$ are numbers whose sum is one. What is the value of $p$?
A) $1/3$
B) $3/8$
C) $2/5$
D) $8/11$
E) $7/10$

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