
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
**Background:** Read the solution to the example question below before answering the following questions.  
Example: Given that the value of the algebraic expression $6y+4y^{2}$ is $2$, find the value of $2y^{2}+3y+7$.  
**Solution:** From $6y+4y^{2}=2$, we have $3y+2y^{2}=1$, so $2y^{2}+3y+7=1+7=8.  
**Rephrased Question:**  
(1) Given that the value of the algebraic expression $2a^{2}+3b$ is $6$, find the value of $a^2+\frac{3}{2}b-5$;  
(2) Given that the value of the algebraic expression $14x+5-21x^{2}$ is $-2$, find the value of $6x^{2}-4x+5$.

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