
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
For a real number $x$, define $\heartsuit(x)$ to be the average of $x$, $x^2$, and $x^3$. Compute $\heartsuit(1) + \heartsuit(2) + \heartsuit(4)$.
A) $\frac{29}{3}$
B) $\frac{59}{3}$
C) $\frac{101}{3}$
D) $\frac{130}{3}$
E) $\frac{150}{3}$

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