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10 Best ChatGPT Prompts to Solve Complex Math Problems

Last Updated : 16 Feb, 2024
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Math is a subject that haunts the majority of students because it looks scary. One can easily hear every teacher saying that “Maths is a part of everyday life and therefore should be made friends with”. But many times, students face difficulty in understanding complex mathematical topics even after getting help from teachers or referring to books and other materials. That is when ChatGPT comes to the rescue.

10 Best ChatGPT Prompts to Solve Complex Math Problems

ChatGPT helps students become friends with math. It helps them understand and learn mathematics in a simple, easy, and enjoyable manner. From simple arithmetic to complex calculus, ChatGPT can solve every question. However, to seek help from ChatGPT, one must know how to ask questions and get the desired results. Therefore, here are the 10 best ChatGPT prompts to solve complex math problems.

10 Best ChatGPT Prompts to Solve Complex Math Problems

1. Arithmetic Operations

Arithmetic operations are the fundamental mathematical calculations performed on numbers to get a result. These include, addition, subtraction, multiplication, and division. 

In case you are finding it difficult to solve complex arithmetic operations, you must use ChatGPT prompts to solve complex problems by typing, “ Please solve this arithmetic operation” followed by the complex arithmetic problem you want to solve.

  • Sample prompt: Please solve this arithmetic operation :{[(4*2)+(10-3)]/2^2}*5-1.
  • How to use the prompt: Initially, start with framing the complex math problem you want to solve, then enter that math problem along with a request to ChatGPT to solve that arithmetic problem for you. Lastly, wait for the response.
  • Used in: Education, math competitions, financial analysis.

Arithmetic Operations

2. Calculus Problems

Calculus troubles everyone because it is very difficult and it has topics like limits, derivatives, integrals, etc. You can use ChatGPT prompts to solve complex math problems of calculus and get your answer by using a prompt such as, “Give me the answer for this problem”.

  • Sample Prompt: Give me the answer for this problem and find the derivative of this function f(x) = 3x^2 + 2x -1.
  • How to use the prompt: First, write the calculus problem that you want to solve, then ask ChatGPT to find its solution.
  • Used in: Computer science and technology, Economics and Finance.

Calculus Problems

3. Algebraic Equations

Algebraic equations are another problem that can be solved by ChatGPT prompts to solve complex math problems that deal with symbols and rules to solve equations and work with polynomials. One can input the algebraic equation to chatGPT and ask it to solve the equation by writing something like this:

  • Sample Prompt: Solve this algebraic equation and give me the proper workings: 3x^3-6x^2+2x-5=0.
  • How to use the prompt: Start with selecting the algebraic problem that has to be solved, then input the equation in the chat box of chatGPT asking it to solve that equation.
  • Used in: Mathematics education, Physics, Business, and Management.

Algebraic Equations

4. Geometry Theorems and Proofs

Geometry Theorems and Proofs are mathematical topics which have a series of problems containing shapes and each needs proper solutioning to prove a theorem. You can use ChatGPT prompts to solve complex math problems because these types of equations take a lot of time.

  • Sample prompt: Explain the Pythagoras Theorem along with its proof.
  • How to use the prompt: Firstly, choose a particular geometry theorem for which you want to gain understanding or proof, then input the name of the theorem in the chat box of ChatGPT along with a request seeking its explanation and proof. Lastly, wait for a detailed response.
  • Used in : Art and design, computer graphics, cartography, and robotics.

Geometry Theorems and Proofs

5. Trigonometric Problems

Trigonometry has many equations and extremely difficult steps to solve for an angle or to figure out cos, tan, sine, etc. This is something that students find difficult to understand, therefore you can use ChatGPT prompts to solve complex math problems simply when asked by using phrases such as, “ Calculate the value of this trigonometric angle” or “Solve this trigonometric equation”.

  • Sample prompt: Solve this trigonometric equation : 2 cos(x) + isin(x) = 1.
  • How to use the prompt: Take the trigonometric equation that you want to solve, then input that equation asking ChatGPT to solve it for you.
  • Used in:  Navigation, Medical Imaging, Mechanics and Kinematics.

Trigonometric Problems

6. Probability and Statistics Assistance

Probability and statistics are two topics that come under the mathematical field which centers around uncertainties, analysis, and interpretation of data. Hence you can use ChatGPT to calculate probabilities of events and give analysis of data sets.

  • Sample prompt: A company produces light bulbs and monitors their lifespan. The recorded lifespans of bulbs are as follows: (1200,1500,800,2000,1600,1800,1000,1400,2200,900). Calculate its mean.
  • How to use the prompt: First give your mathematical problem and input the question in the chat box of ChatGPT asking it to solve this question for you.
  • Used in: Insurance and Risk Management, Market research.

Probability and Statistics Assistance

7. Number Theory

Number theory is another prompt to solve complex math problems that include questions relating to prime numbers, divisibility rules, and arithmetic. You can use chatGPT to get answers to such mathematical questions by using phrases such as:

  • Sample prompt: Give a solution to this question: Prove that there are infinitely many prime numbers.
  • How to use the prompt: Select your math problem and write it in the ChatGPT prompt box.
  • Used in: Cryptography, Coding theory.

Number Theory

8. Differential Equations

Complex differential equations can be easily understood and solved in seconds with the help of ChatGPT simply by prompting it with something like, “ Solve a differential equation of the form [Insert differential equation here].”

  • Sample prompt: Solve a differential equation of the form dy/dx +y = 1.
  • How to use the prompt: Select a math problem of differential equations, then input the equation into the chat box of ChatGPT asking it to solve the equation.
  • Used in: Astrophysics, Telecommunications, Finance.

Differential Equations

9. Optimization Problems

Optimization problems are one of the most used prompts to solve complex math problems using ChatGPT. When dealing with this type of problem, you can easily find its solution by using a prompt such as, “ Please optimize the function”.

  • Sample prompt: Please optimize the function: We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out its corners and fold up the sides to form a box. Give the height of the box that will give a maximum volume.
  • How to use the prompt: Start with choosing the optimization problem that is to be solved. Input it in chatGPT and wait for your answer.
  • Used in: Operations Research, Marketing, Aerospace.

Optimization Problems

10. Complex Analysis Clarifications

Complex analysis clarifications are yet another prompt to solve complex math problems that deal with many topics like contour integration, analytic functions, and the residue theorem. You may get answers to such complex problems by typing on chatGPT something like,” Explain [name of the topic] in complex analysis.”

  • Sample Prompt: Explain the Residue Theorem in complex analysis.
  • How to use the prompt: Type the math problem on the chat box of chatGPT and then wait for a response.
  • Used in: Mathematical Analysis, Fluid Dynamics.

Complex Analysis Clarifications

Conclusion

AI technology has made it even easier to solve not just basic but complex math problems as well. Whether you are a student who wants to get help from AI or to cross-check your answers, then using such ChatGPT prompts to solve complex math problems is your way to get your results fast and smoothly.

Using the right prompt is extremely necessary because sometimes AI technology might interpret your problem and can give you wrong results hence giving it proper questions with all the details of your question is important for Chatgpt to solve complex math problems.

FAQs – Best ChatGPT Prompts to Solve Complex Math Problems

1. Why should we use ChatGPT prompts to solve complex math problems?

It depends on person to person, some might use it to cross-check their answers or to make their work easier by using ChatGPT to solve complex math problems so that they can save their time.

2. What is a prompt?

A prompt is used by a user to define its message, query, or situation to an artificial intelligence tool so that AI can interpret its message and can easily give the desired outcome.

3. Can ChatGPT solve my complex math problems at the master’s level?

Yes, ChatGPT can easily solve any problem that you give it as a prompt, just make sure you give proper and complete details so that you can get a 100% correct answer.



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