
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
1.1 \(\frac{\frac{1}{a}-\frac{1}{b+c}}{\frac{1}{a}+\frac{1}{b+c}}\left(1+\frac{b^{2}+c^{2}-a^{2}}{2 b c}\right): \frac{a-b-c}{a b c}\);

\[ a=0.02, b=-11.05, c=1.07 \]

1.2 \(\left(\frac{1}{t^{2}+3t+2}+\frac{2t}{t^{2}+4t+3}+\frac{1}{t^{2}+5t+6}\right)^{2} \frac{(t-3)^{2}+12t}{2}\).

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