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# Llama (another Large Language Model) and GPT comparison

Posted 7 months ago
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Posted 5 months ago
 Hi Everyone, there is an updated version the functions and additional functionality available via my newer posts such as Google's Gemini - API access from the Wolfram Language and Mistral AI via the API in the Wolfram Language Please have a look there for more on LLMs in MMA.Cheers, Marco
Posted 6 months ago
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Posted 6 months ago
 Note, that the question in the riddle section: What 3 numbers give the same result when multiplied and added together? (Answer 1,2,3)has of course and infinite number of other answers, such as -1,0,1 as -1+0+1=0 and -101=0 which both models have missed. In fact for any k which is integer the numbers -k,0,k will work. Mathematica can find all of these solutions with Solve[a + b + c == a*b*c, {a, b, c}, Integers] (*{{c -> ConditionalExpression[(a + b)/(-1 + a b), Or[ And[ Element[ Alternatives[a, b, (a + b)/(-1 + a b)], Integers], a >= 1, b > a^(-1)], And[ Element[ Alternatives[a, b, (a + b)/(-1 + a b)], Integers], a >= 1, b < a^(-1)], And[ Element[ Alternatives[a, b, (a + b)/(-1 + a b)], Integers], b < a^(-1), a <= -1], And[ Element[ Alternatives[a, b, (a + b)/(-1 + a b)], Integers], a <= -1, b > a^(-1)]]]}, {a -> ConditionalExpression[0, (b | b) \[Element] Integers], c -> ConditionalExpression[-b, (b | b) \[Element] Integers]}}*) combining GPT-4 with the Mathematica Kernel via LLMTools like so tool = LLMTool[{"runCode", "Run Wolfram Language code"}, "code", If[ChoiceDialog["Run this code?\n\n" <> #code], ToString[ToExpression[#code], InputForm], "Code not allowed"] &] LLMSynthesize["What 3 Integers give the same result when multiplied \ and added together? Find all solutions. Use the tool.", All, LLMEvaluator -> <|"Tools" -> tool|>] This will produce a longer output, which after some tool call, contains the right answer.Cheers, Marco
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