If $a=b$ then $a+c=b+c$?
10508
Algebra: What allows us to do the same thing to both sides of an equation?
25258
Prove that if $ a,b,c > 0 $, then $ [(1 + a) (1 + b) (1 + c)]^{7} > 7^{7} (a^{4} b^{4} c^{4}) $.
86378
Prove that $3(a^3+b^3+c^3) > (a+b+c)(a^2+b^2+c^2)$
124097
How does += (plus equal) work?
128820
Prove that if $\gcd(a,b)=1$ then $\gcd(ab,c) = \gcd(a,c) \gcd(b,c)$
51321
Prove that $A = B = C = D$
124742
P(A|C)=P(A|B)*P(B|C)?
76568
$a,b,c$ are real numbers $>0$. If $a+b+c=1$, show that $(a+\frac{1}{a})^2+(b+\frac{1}{b})^2+(c+\frac{1}{c})^2\ge\frac{100}{3}$
110703
How Can I prove (a+b) mod m = (a mod m) + (b mod m)) mod m?
19909
if $abc=1$, then $a^2+b^2+c^2\ge a+b+c$
12954
Prove if $ac>bc$ and $c>0$, then $a>b$
4486
If $ar + bs =1$, then $\gcd(a,s) = \gcd(r,b) = \gcd(r,s) = 1$
74222
If $a+b=1$ then $a^{4b^2}+b^{4a^2}\leq1$
124320
$a,b,c>0 \text{ s.t. }a+b+c=1 \implies \sqrt{ab+c}+\sqrt{bc+a}+\sqrt{ca+b} \ge 1+ \sqrt{ab}+\sqrt{bc}+\sqrt{ca}$
138707
show that if $a | c$ and $b | c$, then $ab | c$ when $a$ is coprime to $b$.
140167
Proving $A+A'B=A+B$ without truth tables
62474
If $AB=I_n$ and $BA=I_m$ then $n=m$.