A polynomial having its leading co-efficient 1 is called ----

How many monic polynomials in have degree 5 ?

1.      Is  $S\left(x\right)=x^2+1$  is reducible in $Z_2\left[x\right]$  

If  $\left|F\right|=q$  and degree  $S\left(x\right)=n,\$  then  $\frac{F\left[x\right]}{S\left[x\right]}$  contains ----- elements.

The Division Algorithm is contains ---- parts

Find the quotient and remainder when the first integer is divided by the second (207, 15)

Find the positive factor of f(19)

25 div 5 is

Every non empty set of positive integers has a least number.

Let f(n) denote the number of positive factors of a positive integer n, Evaluate f(12)

Evaluate $\sum_{\frac{18}{d}}^{ }\left(\frac{1}{18}\right)$ where d is a positive integer.

The sum of any two odd integers is ---

The sum and the product of any two even integers are ---

The product of any two odd integer is ---.

Whether it is true or false. Let a and b be positive integers such that a|b and b|a. Then a = b

Express 676 = ( )_eight.

Find the number of ones in the binary representation of $2^5-1$  

Express (1101)₂ into octal integer.

Express 10110_two in base ten.

Find the positive integer of 1976. It is divisible by 13

Does the conjecture hold for $R_{10}^2$  ?

Using the formula of $\pi\left(n\right)$ find the number primes $\le100$  

Determine whether 129 is prime or composite

There are infinitely many primes

Two positive integers a and b are relatively prime if their gcd is…….

Any two consecutive Fibonacci numbers are ….

In linear combination the values of $\alpha$  and $\beta$  is 

Find the number of trailing zeros in the decimal value of 1010!

Find the positive integer a if [a,a+1]=132