Prove that either $a=2l$ and $b=m$ or $b+m=al$
29540
Method to eliminate $x$ between the equation $x^2 + ax + b = 0$ and $xy+ l(x + y) + m = 0$
51706
If $(k,l) = 1$, show that $(b_2k-b_1l, a_1l-a_2k) = 1$ for $a_1b_2-a_2b_1=1$
15626
Relations of a~b iff b = ak^2
36602
$a^m=b^m$ and $a^n=b^n$ imply $a=b$
34059
$(a^{2^n}+1,a^{2^m}+1)=1 or 2$
19457
Show that: $\inf(A+B) = \inf(A)+ \inf(B)$
20161
Prove that the multiplicative inverse of $a$ modulo $m$ exists if and only if $a$ and $m$ are coprime.
87397
Show that $a^2 \bmod b = (a \bmod b)^2 \bmod b$
43478
Prove that: $ m_a + m_b + m_c \le 4R + r $
51321
Prove that $A = B = C = D$
20346
'Algebraic' way to prove the boolean identity $a + \overline{a}*b = a + b$
104124
Prove or disprove: $A-(B-C) = (A-B)-C$
25004
Proving $\binom{m}{n} + \binom{m}{n-1} = \binom{m+1}{n}$ algebraically
14162
How can I prove $\sup(A+B)=\sup A+\sup B$ if $A+B=\{a+b\mid a\in A, b\in B\}$
62382
I suppose $(a,m)=(a-1,m)=1$, show that $1+a+a^2+\ldots+a^{\phi(m)-1}\equiv0\pmod m$
118981
Proving $\sqrt{ab} = \sqrt a\sqrt b$
135986
Show if $a \equiv b \pmod{m}$ then $ac \equiv bc\pmod{mc}$