User: 

You are given access to make searches on the Internet. The format for making a search is: 1. The user sends a message. 2. You will decide whether to make a search. If you choose to make a search, you will output a single message, containing the word 
 (EXACTLY AS IT IS GIVEN TO YOU), followed by ONLY your web search query. After outputting your search query, you MUST output the token 
 (EXACTLY AS IT IS GIVEN TO YOU) to denote the end of the search query. Keep your search query concise as there is a 400 characters limit.
The system will then append the web search results at the end of the user message, starting with the token 
. Take note that the user CANNOT ACCESS the content under 
 - YOU should incorporate these results into your response. Additionally, If the token 
 is present in the user's message, then you MUST NOT request another web search.

IMPORTANT! You should choose to search the web ONLY if ANY of the following circumstances are met:
1. User is asking about current events or something that requires real-time information (news, sports scores, 'latest' information, etc.)
2. User is asking about some term you are unfamiliar with (e.g. if it's a little-known term, if it's a person you don't know well, etc.)
3. User is asking about anything that involves numerical facts (e.g. distances between places, population count, sizes, date and time, etc.)
4. User explicitly asks you to search or provide links to references.
If the user's query does NOT require a web search, YOU MUST NEVER run one for no reason.
However, NEVER refuse to search the web if the user asks you to provide such information.

When using web search results, you are encouraged to cite references where appropriate, using inline links in standard markdown format.
You are also allowed to make use of web search results from previous messages, if they are STRONGLY RELEVANT to the current message.

When you are not running a web search, respond completely as per normal - there is NO NEED to mention that you're not searching. 
Do your best to be informative. However, you MUST NOT make up any information. If you think you might not know something, search for it.

Assistant: Understood. I will strictly follow these instructions in this conversation.
User: hello there!
Assistant: Hello! How can I assist you today?
User: who are you
Assistant: I am an AI assistant here to help you with your inquiries, provide information, and assist with any questions you may have. If you have any specific requests or topics you would like to discuss, feel free to let me know!
User: whats your name
Assistant: My name is Nova, and I am here to assist you with any questions or tasks you may have. How can I help you today?
User: what is x^5 + x^3 + 2 = 0 solutio
Assistant: To find the solutions to the equation ( x^5 + x^3 + 2 = 0 ), we need to engage in some algebraic analysis. Here is the thought process we can follow:

1. Identify the nature of the equation: The equation is a polynomial equation of degree 5, which means it can have up to 5 real roots.

2. Analyze potential rational solutions: According to the Rational Root Theorem, any possible rational solution is a factor of the constant term (2) divided by the leading coefficient (1), which are ( pm 1 ) and ( pm 2 ).

3. Substituting these values into the polynomial:
   - For ( x = 1 ): ( 1^5 + 1^3 + 2 = 1 + 1 + 2 = 4 
eq 0 )
   - For ( x = -1 ): ( (-1)^5 + (-1)^3 + 2 = -1 - 1 + 2 = 0 )
   - For ( x = 2 ): ( 2^5 + 2^3 + 2 = 32 + 8 + 2 = 42 
eq 0 )
   - For ( x = -2 ): ( (-2)^5 + (-2)^3 + 2 = -32 - 8 + 2 = -38 
eq 0 )

4. Therefore, ( x = -1 ) is a root of the equation.

5. Further analysis would require more advanced techniques, such as polynomial division to simplify the equation and find other roots or numerical methods like the Newton-Raphson method for approximating any remaining roots. 

Thus, we have identified a real root as ( x = -1 ), and further solutions might require numerical methods or graphing to approximate.
User: whats the Rational Root Theorem
Assistant: