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Python Fun Mathematics - Final Exam

Normal University - 2025-2026 Academic Year Semester 2 - Python Fun Mathematics Final Exam

Project Structure

├── Question_1.py    # Problem 1: Exponent and Logarithm Operations
├── Question_2.py    # Problem 2: Power Operations and Exponential Equations
├── Question_3.py    # Problem 3: Logarithmic Equation Solving
├── Question_4.py    # Problem 4: Quadratic Equation
├── Question_5.py    # Problem 5: Polynomial Evaluation
├── Question_6.py    # Problem 6: Algebraic Expression Simplification
├── Question_7.py    # Problem 7: Function Maximum Value
├── Question_8.py    # Problem 8: Polynomial Equation
├── Question_9.py    # Problem 9: Exponential Equation
├── Question_10.py   # Problem 10: Exponent and Logarithm Operations
└── README.en.md     # Project Documentation (English)

Problem List

Question 1

Given (2^a = 3^b = 6^c), find the value of (\frac{ab}{ac + bc}).

Question 2

Given (2^a = 5), (8^b = 0.1), find the value of ((2a + 6b + 1)^{2026}).

Question 3

Solve the equation (x^x = 3^{x+54}), find (x).

Question 4

Solve the equation (x^2 + 2\sqrt{6}x - 5 = 0), find (x^2).

Question 5

Given (x = \frac{16}{\sqrt{17}-1}), find the value of (x^5 + 2x^4 - 17x^3 - x^2 + 17).

Question 6

Given (x^2 - x - 1 = 0), find the value of (\sqrt{x^4 + \frac{7}{x^4}}).

Question 7

Find the maximum value of (5\sqrt{x-1} + \sqrt{9-2x}).

Question 8

Given (x^4 + x + 1 = 0), find the value of (x^3 - x^2).

Question 9

Solve the equation (x^{x^3} = 3375), find (x).

Question 10

Given (12^m = 18), find the value of (2^{\frac{2m-1}{m-2}}).

Technology Stack

  • Python 3.x - Programming Language
  • sympy - Symbolic Computation Library
  • math - Mathematical Functions Library
  • numpy - Numerical Computing Library
  • mpmath - High Precision Mathematical Computing Library

Requirements

pip install sympy numpy mpmath

Usage

Run individual problem solutions:

python Question_1.py
python Question_2.py
# ... and so on

Exam Information

  • Exam Date: June 17, 2026
  • Duration: 90 minutes
  • Format: Open Book
  • Course Type: Public Elective

Author

Liang

License

MIT License