Qwen3 32B model series are the most widely adopted and deployed model in industrial applications, which compromise of inference speed and performance. This updated version of Qwen3 32B model have the thinking mode and non-thinking mode, which supports both the common task of chat/text generation and more complex task of math, code generation, etc. On the AIME and many other math benchmarks, Qwen3 surpass many of the opensource counterpart.

Qwen3 235B A22B model is more like an upgraded version of DeepSeek-R1. And it is also compared with Deepseek R1 model on multiple benchmarks of code and math. Personally, I don't Qwen3 is a huge upgrade compared to Gemini/OpenAI and Deepseek model, but more like a compromised version of complex thinking and realistic usage.

I asked Gemini to solve this graduate-level machine learning math problem "Use Newton method to calculate the exact value of \sqrt{2}. Provide Detailed proof step by step". And Gemini provides correct and concise answers to this question. It breaks down into a few steps: 1. Initial Guess, which is to Let's start with an initial guess, say x 0=1. This is a reasonable guess since 1^2 is close to 2. 2. Newton's Method Formula 3. Iterations 4. Convergence and get the conclusion Newton's method converges quadratically, which means that the number of correct digits approximately doubles with each iteration. As we continue iterating, we'll get closer and closer to the exact value of \sqrt{2}.

Gemini provides the correct answer to my high-school level math question about calculus "Calculate the first order derivative of function f(x)=\frac{1}{x} at the point x=2.". It uses the power rule to get the derivative function f'(x) and calculate its value at point x=2. And gets the correct answer -1/4. The answer is helpful, concise and easy to understand.

Gemini gives the correct answer of the math problem of calculating differentiation of function. It applies the step by step thinking and firstly outlines the method it uses to solve the differentiation "use the sum rule and the derivatives of individual functions". Then it gives detailed proof as follows: To find the derivative of f(x) = e^x + log(x) + sin(x), we'll use the sum rule and the derivatives of individual functions. The sum rule states that the derivative of a sum of functions is the sum of the derivatives of the individual functions.   Here are the derivatives of the individual functions: Derivative of e^x: d/dx(e^x) = e^x Derivative of log(x): d/dx(log(x)) = 1/x Derivative of sin(x): d/dx(sin(x)) = cos(x) Applying the sum rule, we get: f'(x) = d/dx(e^x) + d/dx(log(x)) + d/dx(sin(x)) f'(x) = e^x + 1/x + cos(x) Therefore, the derivative of f(x) = e^x + log(x) + sin(x) is f'(x) = e^x + 1/x + cos(x).

Gemini gives the correct answer to the quadratic equation x^2+5x+6=0 and it's using the step by step thinking method, which is very similar to the results from Claude, but different from the factoring methods of ChatGPT. Overall, the response from Gemini on solving this math problem is correct and helpful.