OpenAI o1 Reviews for Math Reasoning Ability
OpenAI o1 Reviews for Math Reasoning Ability
Please Use Newton method to calculate the exact value of \sqrt{2}. Provide Detailed proof step by step.
Let n be an even positive integer. Let p be a monic, real polynomial of degree 2n; that is to say, p(x)=x^{2n} + a_{2n-1}x^{2n-1} + ... + a_{1}x+ a_{0} for some real coefficients a_{0}, a_{1}, ..., a_{2n-1}. Suppose that p(1/k) = k^{2} for all integers k such as 1<=|k|<=n. Find all other real numbers x for which p(1/x)=x^2.
Can you provide proof of Riemann Hypothesis. Please think step by step.
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