Integer part 13

If f(x)=(x^(3)+x+1)tan(pi[x]) (where, [x] represents the greatest integer part of x), then

Let [x] denote the greatest integer part of a real number x, if M= sum_(n=1)^(40)[(n^(2))/(2)] then M equals

If [x] and (x) are the integral part of x and nearest integer to x then solve (x)[x]=1

If the mean of 5 consecutive odd integers is 13, find the sum of the largest and the smallest integers.

Two numbers are selected at random from the integers 1 to 13. If the sum is even, find the probability that both numbers are odd

If 13lekle21, 9leple19, 2ltmlt6 and k, p, and m are integers, what is the largest possible value of (k-p)/(m) ?

Show that the following integers are cubes of negative integers. Also find the integer whose cube is the given integer. -5832 (ii) -2744000

Compare the integers : -39 and 13

The greatest positive integer for which 13 ^(k)+1 is a factor of the sum 13^(71) + 13 ^(70) + 13 ^(69) +….+ 13+1

m is said to be related to n if m and n are integers and m-n is divisible by 13. Does this define an equivalence relation?