
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
If $\dfrac{a^2+b}{b+c^2}=\dfrac{c^2+d}{d+a^2}$, find the condition for which this equation holds.
A) $a = c$
B) $a^2 + d + 2b = 0$
C) $b^2 + a^2 + c^2 = 0$
D) $ab + cd = 0$

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