
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
Two people, A and B, jointly solve the system of equations involving $x$ and $y$: $\left\{\begin{array}{l}{ax+5y=15①}\\{4x-by=-2②}\end{array}\right.$ A misreads the coefficient $a$ in equation ① and obtains the solution to the system as $\left\{\begin{array}{l}{x=-3}\\{y=-1}\end{array}\right.$ B misreads the coefficient $b$ in equation ② and obtains the solution to the system as $\left\{\begin{array}{l}{x=5}\\{y=4}\end{array}\right.$, Calculate the value of $a^{2018}+(-\frac{1}{10}b)^{2019}$.

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