
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
Consider when the expressions $p + qr$ and $(p+q)(p+r)$ are equal. Determine under what conditions these expressions will hold equivalence.
A) The expressions are always equal
B) The expressions are never equal
C) The expressions are equal whenever $p+q+r=1$
D) The expressions are equal whenever $p+q+r=0$
E) The expressions are equal only when $p=q=r=0$

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