
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
Define $\heartsuit(x)$ for a real number $x$ as the average of $x$ and $x^3$. Calculate $\heartsuit(1) + \heartsuit(2) + \heartsuit(4)$.
A) 15
B) 25
C) 35
D) 40
E) 45

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