<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
An investment of $\$$8,000 is made in a government bond that will pay 5$\%$ interest compounded monthly. At the end of 3 years, what is the total amount of money in this investment?<|im_end|>
<|im_start|>assistant
<Z_94><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
An investment of $\$$8,000 is made in a government bond that will pay 5$\%$ interest compounded monthly. At the end of 3 years, what is the total amount of money in this investment?<|im_end|>
<|im_start|>assistant
<Z_57><Z_40><Z_30><Z_43><Z_99><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
An investment of $\$$8,000 is made in a government bond that will pay 5$\%$ interest compounded monthly. At the end of 3 years, what is the total amount of money in this investment?<|im_end|>
<|im_start|>assistant
<Z_50><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
An investment of $\$$8,000 is made in a government bond that will pay 5$\%$ interest compounded monthly. At the end of 3 years, what is the total amount of money in this investment?<|im_end|>
<|im_start|>assistant
<Z_112><Z_30><Z_96><Z_21><Z_59><ANSWER>

Question: An investment of $\$$8,000 is made in a government bond that will pay 5$\%$ interest compounded monthly. At the end of 3 years, what is the total amount of money in this investment?


<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
a can do a piece of work in 10 days and b in 20 days . they began the work together but 5 days before the completion of the work , a leaves . the work was completed in ?<|im_end|>
<|im_start|>assistant
<Z_94><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
a can do a piece of work in 10 days and b in 20 days . they began the work together but 5 days before the completion of the work , a leaves . the work was completed in ?<|im_end|>
<|im_start|>assistant
<Z_104><Z_30><Z_37><Z_30><Z_72><Z_41><Z_49><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
a can do a piece of work in 10 days and b in 20 days . they began the work together but 5 days before the completion of the work , a leaves . the work was completed in ?<|im_end|>
<|im_start|>assistant
<Z_3><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
a can do a piece of work in 10 days and b in 20 days . they began the work together but 5 days before the completion of the work , a leaves . the work was completed in ?<|im_end|>
<|im_start|>assistant
<Z_74><Z_66><Z_43><Z_124><Z_106><Z_23><Z_124><ANSWER>

Question: a can do a piece of work in 10 days and b in 20 days . they began the work together but 5 days before the completion of the work , a leaves . the work was completed in ?


<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
If one-eighth of $2^{40}$ is equal to $2^x$, what is $x$?<|im_end|>
<|im_start|>assistant
<Z_94><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
If one-eighth of $2^{40}$ is equal to $2^x$, what is $x$?<|im_end|>
<|im_start|>assistant
<Z_15><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
If one-eighth of $2^{40}$ is equal to $2^x$, what is $x$?<|im_end|>
<|im_start|>assistant
<Z_66><ANSWER>

Question: If one-eighth of $2^{40}$ is equal to $2^x$, what is $x$?


<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
A certain solution of alcohol and water is 5 percent alcohol. If 4.5 liters of alcohol and 5.5 liters of water are added to this solution, the solution produced is 13 percent alcohol. What is the initial volume of the solution?<|im_end|>
<|im_start|>assistant
<Z_94><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
A certain solution of alcohol and water is 5 percent alcohol. If 4.5 liters of alcohol and 5.5 liters of water are added to this solution, the solution produced is 13 percent alcohol. What is the initial volume of the solution?<|im_end|>
<|im_start|>assistant
<Z_113><Z_108><Z_103><Z_124><Z_41><Z_58><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
A certain solution of alcohol and water is 5 percent alcohol. If 4.5 liters of alcohol and 5.5 liters of water are added to this solution, the solution produced is 13 percent alcohol. What is the initial volume of the solution?<|im_end|>
<|im_start|>assistant
<Z_109><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
A certain solution of alcohol and water is 5 percent alcohol. If 4.5 liters of alcohol and 5.5 liters of water are added to this solution, the solution produced is 13 percent alcohol. What is the initial volume of the solution?<|im_end|>
<|im_start|>assistant
<Z_59><Z_6><Z_97><Z_114><Z_3><Z_83><ANSWER>

Question: A certain solution of alcohol and water is 5 percent alcohol. If 4.5 liters of alcohol and 5.5 liters of water are added to this solution, the solution produced is 13 percent alcohol. What is the initial volume of the solution?


<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
In triangle $\triangle DEF$, with vertices $D$ at the origin, $E$ at $(8,0)$, and $F$ at $(2,4)$, determine the sum of the distances from the point $Q = (3,1)$ to each vertex of the triangle. Express the sum in the form $a\sqrt{p} + b\sqrt{q}$, where $a$, $b$, $p$, $q$ are integers, and find the value of $a + b$.<|im_end|>
<|im_start|>assistant
<Z_104><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
In triangle $\triangle DEF$, with vertices $D$ at the origin, $E$ at $(8,0)$, and $F$ at $(2,4)$, determine the sum of the distances from the point $Q = (3,1)$ to each vertex of the triangle. Express the sum in the form $a\sqrt{p} + b\sqrt{q}$, where $a$, $b$, $p$, $q$ are integers, and find the value of $a + b$.<|im_end|>
<|im_start|>assistant
<Z_57><Z_65><Z_58><Z_38><Z_103><Z_123><Z_39><Z_80><Z_37><Z_125><Z_88><Z_45><Z_26><Z_88><Z_78><Z_37><Z_114><Z_70><Z_95><Z_123><Z_49><Z_103><Z_88><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
In triangle $\triangle DEF$, with vertices $D$ at the origin, $E$ at $(8,0)$, and $F$ at $(2,4)$, determine the sum of the distances from the point $Q = (3,1)$ to each vertex of the triangle. Express the sum in the form $a\sqrt{p} + b\sqrt{q}$, where $a$, $b$, $p$, $q$ are integers, and find the value of $a + b$.<|im_end|>
<|im_start|>assistant
<Z_46><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
In triangle $\triangle DEF$, with vertices $D$ at the origin, $E$ at $(8,0)$, and $F$ at $(2,4)$, determine the sum of the distances from the point $Q = (3,1)$ to each vertex of the triangle. Express the sum in the form $a\sqrt{p} + b\sqrt{q}$, where $a$, $b$, $p$, $q$ are integers, and find the value of $a + b$.<|im_end|>
<|im_start|>assistant
<Z_43><Z_72><Z_97><Z_74><Z_110><Z_62><Z_87><Z_45><Z_38><Z_76><Z_19><Z_64><Z_51><Z_69><Z_56><Z_9><Z_88><Z_38><Z_101><Z_71><Z_95><Z_122><Z_119><ANSWER>

Question: In triangle $\triangle DEF$, with vertices $D$ at the origin, $E$ at $(8,0)$, and $F$ at $(2,4)$, determine the sum of the distances from the point $Q = (3,1)$ to each vertex of the triangle. Express the sum in the form $a\sqrt{p} + b\sqrt{q}$, where $a$, $b$, $p$, $q$ are integers, and find the value of $a + b$.


<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
At a gathering, there are 25 gremlins and 20 imps. Owing to some conflicts, only 10 imps are willing to shake hands with the gremlins, and each of these imps shakes hands with just 15 of the gremlins. All gremlins are in good terms with each other and shake hands amongst themselves as well. Calculate the total number of handshakes at this assembly.<|im_end|>
<|im_start|>assistant
<Z_57><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
At a gathering, there are 25 gremlins and 20 imps. Owing to some conflicts, only 10 imps are willing to shake hands with the gremlins, and each of these imps shakes hands with just 15 of the gremlins. All gremlins are in good terms with each other and shake hands amongst themselves as well. Calculate the total number of handshakes at this assembly.<|im_end|>
<|im_start|>assistant
<Z_113><Z_50><Z_27><Z_27><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
At a gathering, there are 25 gremlins and 20 imps. Owing to some conflicts, only 10 imps are willing to shake hands with the gremlins, and each of these imps shakes hands with just 15 of the gremlins. All gremlins are in good terms with each other and shake hands amongst themselves as well. Calculate the total number of handshakes at this assembly.<|im_end|>
<|im_start|>assistant
<Z_69><ANSWER>

<|im_start|>system
Please reason step by step, and put your final answer within \boxed{}.<|im_end|>
<|im_start|>user
At a gathering, there are 25 gremlins and 20 imps. Owing to some conflicts, only 10 imps are willing to shake hands with the gremlins, and each of these imps shakes hands with just 15 of the gremlins. All gremlins are in good terms with each other and shake hands amongst themselves as well. Calculate the total number of handshakes at this assembly.<|im_end|>
<|im_start|>assistant
<Z_12><Z_45><Z_69><Z_18><ANSWER>

Question: At a gathering, there are 25 gremlins and 20 imps. Owing to some conflicts, only 10 imps are willing to shake hands with the gremlins, and each of these imps shakes hands with just 15 of the gremlins. All gremlins are in good terms with each other and shake hands amongst themselves as well. Calculate the total number of handshakes at this assembly.