
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
Evaluate:  
 \\((1)\\lg 8+\\lg 125-( \\dfrac {1}{7})^{-2}+16\\;^{ \\frac {3}{4}}+( \\sqrt {3}-1)^{0}\\)  
\\((2)\\sin \\dfrac {25π}{6}+\\cos \\dfrac {25π}{3}+\\tan (- \\dfrac {25π}{4})\\)

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