
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
Find the value of \(a + b + c + d + e\) given the system of equations:
\[
\begin{array}{c}
3a + 2b + 4d = 10 \\
6a + 5b + 4c + 3d + 2e = 8 \\
a + b + 2c + 5e = 3 \\
2c + 3d + 3e = 4 \\
a + 2b + 3c + d = 7
\end{array}
\]

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