
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 a new function $\clubsuit(x)$ as the average of $x$, $x^2$, and $x^3$. Calculate $\clubsuit(1)+\clubsuit(2)+\clubsuit(3)+\clubsuit(4)$.
A) $46\frac{2}{3}$  
B) $45$  
C) $42$  
D) $48$  
E) $50$

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