Showing that $a(b)^{-1}  0$
18530
Given 4 integers, $a, b, c, d > 0$, does $\frac{a}{b} < \frac{c}{d}$ imply $\frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}$?
23071
Showing that $f_0 (x_1, \ldots, x_m) \mathrm tr A =\displaystyle{ \sum_{i=1}^n} f_0(x_1, \ldots, Ax_i,\ldots, x_m)$
95057
Possible fake proof of $1= -1$
136304
Prove: $2^b-1\mid{}2^a-1 \iff b\mid{}a$
65923
How to approach proving $f^{-1}(B\setminus C)=A\setminus f^{-1}(C)$?
75002
show that $\det(A)=0$ in this case
131876
Show that $\int_{a}^{b}{x^{n}f(x)dx}=0$, then $f=0$
30860
Prove that $f(x)=0$ in $[-1,1]$.
64955
Show that there are $ a,b \geq 0 $ so that $ |f(x)| \leq ax+b, \forall x \geq 0.$
91877
Let $|x|\leq1, |y|\leq 1$. Show that$0 \leq x^{2}+y^{2} -2x^{2} y^{2}+2xy \sqrt{1-x^{2}} \sqrt{1-y^{2}} \leq 1$
64108
how to prove $a+b-ab \le 1$ if $a,b \in [0,1]$?
88746
Positive definiteness of the matrix $A+B$
25258
Prove that if $ a,b,c > 0 $, then $ [(1 + a) (1 + b) (1 + c)]^{7} > 7^{7} (a^{4} b^{4} c^{4}) $.
67291
Prove that there exists $n\in\mathbb{N}$ such that $f^{(n)}$ has at least n+1 zeros on $(-1,1)$
90343
Proving the inequality $|e^z-1|\leq e^{|z|}-1$
34908
$A$ is normal and nilpotent, show $A=0$
127293
Prove that $(a-b) \mid (a^n-b^n)$