Proving that there is always a rational in between two reals
139979
Proof there is a rational between any two reals
117132
Rationals of the form $\frac{p}{q}$ where $p,q$ are primes in $[a,b]$
13981
Proof that every polynomial of odd degree has one real root
145397
How to prove that for every $i$, $a_i = i$
107765
Prove that there exists two roots in $[-1,1]$
151427
f, g continuous for all rationals follow by continuous on all reals?
32848
Prove that the product of a non-zero rational and irrational number is irrational.
34998
How to prove that $\mathbb{Q}$ ( the rationals) is a countable set
141273
When is $\sin(x)$ rational?
30796
Is the set of irrationals separable as a subspace of the real line?
87331
Real polynomial in two variables
55509
Factor a polynomial over the reals
53191
Showing a meromorphic function is rational
150037
Finding the simplest rational in a closed interval
24706
Is there a rational number between any two irrationals?
3818
Proving two entire functions are constant.
63409
If $x^2+ax+b=0$ has a rational root, show that it is in fact an integer