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Find the inverse function f(x)=x+[x].
 (No Solution Yet, 1 Comments) Submitted on 2024-04-19 by Danish Ahmed Khan

Solve the equation

16x3=(11x2+x-1)√(x2-x+1)
 (No Solution Yet, 2 Comments) Submitted on 2024-04-18 by Danish Ahmed Khan

Find six distinct positive integers A, B, C, D, E, F, G satisfying:
` A3 + B3 = C3 + D3 = E3 + F3 = 19G3.`
Please submit primitive solutions only, that is, A, B, C, D, E, F, G should not have a common factor.

 (No Solution Yet, 2 Comments) Submitted on 2024-04-18 by K Sengupta

Out of 26 ABCâ€™s letters I have erased 15, leaving only those: a,e,i,j,k,o,q,u,v,x,y.

What were my criteria?

Last Four Digits (in Just Math) Rating: 5.00
Consider the sum 1^99 + 2^99 + 3^99 + ... + 99^99.
Finding the last digit of this sum was the task of an old problem Last Digit. With a clever setup finding the last two digits was just as easy.

So I present a higher challenge: find the last four digits. No computer programs!
 (No Solution Yet, 1 Comments) Submitted on 2024-04-17 by Brian Smith

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