Third International Mathematics Olympiad #2

Third International Mathematics Olympiad #2

Find the last digit of (1! + 2! +...+ 1982!)^1982

Find the last digit of (1! + 2! +...+ 1982!)^1982

Prove that abcd = 2004

Prove that abcd = 2004

A nice Completing the squares problem

A nice Completing the squares problem

Evaluate z^2024 + 1/z^2024 Given that z+1/z=1

Evaluate z^2024 + 1/z^2024 Given that z+1/z=1

Identifying the graphs of a function and its derivatives

Identifying the graphs of a function and its derivatives

Evaluating a series of factorials

Evaluating a series of factorials

A Non-palindromic Quartic Equation

A Non-palindromic Quartic Equation

Solving a radical polynomial with trig substitution

Solving a radical polynomial with trig substitution

2015 Harvard-MIT Math Tournament #25

2015 Harvard-MIT Math Tournament #25

Maclaurin Series for 2^x

Maclaurin Series for 2^x

Sum of the roots of a 2001st power polynomial

Sum of the roots of a 2001st power polynomial

Vieta's Formula

Vieta's Formula

Determinant of a matrix of polynomials

Determinant of a matrix of polynomials

JEE Advanced Question from 2018

JEE Advanced Question from 2018

Sample JEE main question from India

Sample JEE main question from India

3 + Rad(3 + Rad(x)) = x (Infinitely nested radical)

3 + Rad(3 + Rad(x)) = x (Infinitely nested radical)

power series representation of f(x) = x^3/(3+x)^2

power series representation of f(x) = x^3/(3+x)^2

Infinitely Nested Radicals (Part 2)

Infinitely Nested Radicals (Part 2)

Infinitely Nested Radicals (Part 1)

Infinitely Nested Radicals (Part 1)

Matrix^2005 from the AMATYC 2005 exam

Matrix^2005 from the AMATYC 2005 exam

(√1995)·x^(log₁₉₉₅ x) = x²

(√1995)·x^(log₁₉₉₅ x) = x²

sqrt((96)(97)(98)(99)+1))

sqrt((96)(97)(98)(99)+1))

x^3 -3x=sqrt(x+2) @drpkmath1234

x^3 -3x=sqrt(x+2) @drpkmath1234

Distance between two polar coordinates

Distance between two polar coordinates

An algebra problem from Ecuador 2009 TST

An algebra problem from Ecuador 2009 TST

Integration using the gamma function

Integration using the gamma function

How to Solve Palindrome Equations

How to Solve Palindrome Equations

A high school exponential equation

A high school exponential equation

How to prove monotone sequences

How to prove monotone sequences