
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
Given points A(1,1) and B(-1,-3) are on the curve C: $y = ax^3 + bx^2 + d$ (where $a$, $b$, and $d$ are constants). If the tangents to curve C at points A and B are parallel, then $a^3 + b^2 + d = \boxed{\text{answer}}$.

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