
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
Determine the remainder when the polynomial $p(x)$, satisfying $p(2) = 4$ and $p(5) = 10$, is divided by $(x-2)(x-5)$.
A) $2x + 2$
B) $2x$
C) $x + 2$
D) $3x$

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