
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
2 apples and 3 oranges cost 6 dollars.
4 apples and 7 oranges cost 13 dollars.
16 apples and 23 oranges cost $C$ dollars. Find $C$.

If $K=\frac{6 \cos \theta+5 \sin \theta}{2 \cos \theta+3 \sin \theta}$ and $\tan \theta=2$, find $K$.

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