Random math formulas

6
÷
2
(
1
2
)

{\displaystyle 6\div2(1+2)}

# x

a
2

b
2

a
b
1

{\displaystyle x=\frac{a^2+b^2}{ab+1}}

64
3

=
?

{\displaystyle \sqrt[3]{64}=?}

ζ
(
s

# n
1

∞

1

n
s

{\displaystyle \zeta(s) =\sum\_{n=1}^\infty\frac{1}{n^s}}

4
x

6
x

=

9
x

{\displaystyle 4^x+6^x=9^x}

e

i
π

# 1
0

{\displaystyle e^{i\pi}+1 = 0}

Hardest math equation

{\displaystyle \text{Hardest math equation}\ }

(0 percent can answer)

{\displaystyle \text{(0 percent can answer)} \qquad }

1
# 1
?

{\displaystyle 1+1=?}

a
4

b
4

=
9

{\displaystyle a^4+b^4=9}

a
# b
1

{\displaystyle a+b=1}

# x
?

{\displaystyle x=?}

9
−
3
÷

1
3

# x

−
b
±

b

2

−
4
a
c

2
a

{\displaystyle x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}

−

∑

# i
1

100

(
−
1

)
i

(

5
!
×
5

4
!

)

1
2

{\displaystyle -\sum\_{i=1}^{100}(-1)^i{\binom{5!\times5}{4!}}^\frac{1}{2}}

x

(

1

x
3

x

)

−

x

x
−
2

x

=
0

{\displaystyle x\binom{1}{\sqrt[x]{x^3}}-\frac{x^{x-2}}{x}=0}

a
x

b
y

c
z

{\displaystyle a^x+b^y+c^z}

14

x

# 15
71

{\displaystyle 14\sqrt{x}+15=71}

ζ
(
s

# n
1

∞

1

n
8

=

1

1
8

1

2
8

1

3
8

…

{\displaystyle \zeta(s)=\sum\_{n=1}^\infin \frac{1}{{n^8}}=\frac{1}{1^8}+\frac{1}{2^8}+\frac{1}{3^8}+ \ldots}

7
×
# 4
?

{\displaystyle 7\times4=?}

# γ

lim

n
→
∞

(

∑

# k
1

n

1
k

−

ln
⁡
n

)

{\displaystyle \gamma=\lim\_{n \to \infty}\Biggl(\sum\_{k=1}^n\frac{1}{k}\ -\ \ln n\Biggr)}

=

{\displaystyle =}

e
q
u
a
l
s

s
i
g
n

{\displaystyle equals\ sign}

e
q
u
a
l
i
t
y

{\displaystyle equality}

# 5
2
3

{\displaystyle 5=2+3}

5

i
s

e
q
u
a
l

t
o

2
3

{\displaystyle 5\ is\ equal\ to\ 2+3}

≠

{\displaystyle \ne}

n
o
t

e
q
u
a
l
s

s
i
g
n

{\displaystyle not\ equals\ sign}

i
n
e
q
u
a
l
i
t
y

{\displaystyle inequality}

5
≠
4

{\displaystyle 5\neq4}

5

i
s

n
o
t

e
q
u
a
l

t
o

4

{\displaystyle 5\ is\ not\ equal\ to\ 4}

≈

{\displaystyle \approx}

a
p
p
r
o
x
i
m
a
t
e
l
y

e
q
u
a
l

{\displaystyle approximately\ equal}

a
p
p
r
o
x
i
m
a
t
i
o
n

{\displaystyle approximation}

sin
⁡
(
0.01
)
≈
0.01
,

{\displaystyle \sin(0.01)\approx0.01,}

x
≈
y

m
e
a
n
s

x

i
s

a
p
p
r
o
x
i
m
a
t
e
l
y

e
q
u
a
l

t
o

y

{\displaystyle x\approx y\ means\ x\ is\ approximately\ equal\ to\ y}

>

{\displaystyle > }

s
t
r
i
c
t

i
n
e
q
u
a
l
i
t
y

{\displaystyle strict\ inequality}

g
r
e
a
t
e
r

t
h
a
n

{\displaystyle greater\ than}

5
>
4

{\displaystyle 5>4}

5

i
s

g
r
e
a
t
e
r

t
h
a
n

4

{\displaystyle 5\ is\ greater\ than\ 4}

<

{\displaystyle < }

s
t
r
i
c
t

i
n
e
q
u
a
l
i
t
y

{\displaystyle strict\ inequality}

l
e
s
s

t
h
a
n

{\displaystyle less\ than}

4
<
5

{\displaystyle 4<5}

4

i
s

l
e
s
s

t
h
a
n

5

{\displaystyle 4\ is\ less\ than\ 5}

≥

{\displaystyle \geq}

i
n
e
q
u
a
l
i
t
y

{\displaystyle inequality}

g
r
e
a
t
e
r

t
h
a
n

o
r

e
q
u
a
l

t
o

{\displaystyle greater\ than\ or\ equal\ to}

5
≥
4
,

{\displaystyle 5\geq4,}

x
≥
y

m
e
a
n
s

x

i
s

g
r
e
a
t
e
r

t
h
a
n

o
r

e
q
u
a
l

t
o

y

{\displaystyle x\geq y\ means\ x\ is\ greater\ than\ or\ equal\ to\ y}

≤

{\displaystyle \le}

i
n
e
q
u
a
l
i
t
y

{\displaystyle inequality}

l
e
s
s

t
h
a
n

o
r

e
q
u
a
l

t
o

{\displaystyle less\ than\ or\ equal\ to}

4
≤
5

{\displaystyle 4\leq5}

x
≥
y

m
e
a
n
s

x

i
s

l
e
s
s

t
h
a
n

o
r

e
q
u
a
l

t
o

y

{\displaystyle x\geq y\ means\ x\ is\ less\ than\ or\ equal\ to\ y}

(
)

{\displaystyle ()}

p
a
r
e
n
t
h
e
s
e
s

{\displaystyle parentheses}

c
a
l
c
u
l
a
t
e

e
x
p
r
e
s
s
i
o
n

i
n
s
i
d
e

f
i
r
s
t

{\displaystyle calculate\ expression\ inside\ first}

2
×
(
3
5
# )
16

{\displaystyle 2\times(3+5)=16}

[
]

{\displaystyle []}

b
r
a
c
k
e
t
s

{\displaystyle brackets}

c
a
l
c
u
l
a
t
e

e
x
p
r
e
s
s
i
o
n

i
n
s
i
d
e

f
i
r
s
t

{\displaystyle calculate\ expression\ inside\ first}

[
(
1
2
)
×
(
1
5
)
# ]
18

{\displaystyle [(1+2)\times(1+5)]=18}

{\displaystyle +}

p
l
u
s

s
i
g
n

{\displaystyle plus\ sign}

a
d
d
i
t
i
o
n

{\displaystyle addition}

1
# 1
2

{\displaystyle 1+1=2}

−

{\displaystyle -}

m
i
n
u
s

s
i
g
n

{\displaystyle minus\ sign}

s
u
b
t
r
a
c
t
i
o
n

{\displaystyle subtraction}

2
−
# 1
1

{\displaystyle 2-1=1}

±

{\displaystyle \pm}

p
l
u
s

−

m
i
n
u
s

{\displaystyle plus\ -\ minus}

b
o
t
h

p
l
u
s

a
n
d

m
i
n
u
s

o
p
e
r
a
t
i
o
n
s

{\displaystyle both\ plus\ and\ minus\ operations}

3
±
# 5
8

o
r

−
2

{\displaystyle 3\pm5=8\ or\ -2}

∓

{\displaystyle \mp}

m
i
n
u
s

−

p
l
u
s

{\displaystyle minus\ -\ plus}

b
o
t
h

m
i
n
u
s

a
n
d

p
l
u
s

o
p
e
r
a
t
i
o
n
s

{\displaystyle both\ minus\ and\ plus\ operations}

3
∓
# 5
−
2

o
r

8

{\displaystyle 3\mp5=-2\ or\ 8}

∗

{\displaystyle \*}

a
s
t
e
r
i
s
k

{\displaystyle asterisk}

m
u
l
t
i
p
l
i
c
a
t
i
o
n

{\displaystyle multiplication}

2
∗
# 3
6

{\displaystyle 2\*3=6}

×

{\displaystyle \times}

t
i
m
e
s

s
i
g
n

{\displaystyle times\ sign}

m
u
l
t
i
p
l
i
c
a
t
i
o
n

{\displaystyle multiplication}

2
×
# 3
6

{\displaystyle 2 \times 3=6}

⋅

{\displaystyle \cdot}

m
u
l
t
i
p
l
i
c
a
t
i
o
n

d
o
t

{\displaystyle multiplication\ dot}

m
u
l
t
i
p
l
i
c
a
t
i
o
n

{\displaystyle multiplication}

2
⋅
# 3
6

{\displaystyle 2\cdot3=6}

÷

{\displaystyle
\div}

d
i
v
i
s
i
o
n

s
i
g
n

/

o
b
e
l
u
s

{\displaystyle division\ sign\ /\ obelus}

d
i
v
i
s
i
o
n

{\displaystyle division }

6
÷
# 2
3

{\displaystyle 6\div2=3}

/

{\displaystyle /}

d
i
v
i
s
i
o
n

s
l
a
s
h

{\displaystyle division\ slash}

d
i
v
i
s
i
o
n

{\displaystyle division }

6

/

# 2
3

{\displaystyle 6/2=3}

{\displaystyle \frac{}{}}

h
o
r
i
z
o
n
t
a
l

l
i
n
e

{\displaystyle horizontal\ line}

d
i
v
i
s
i
o
n

/

f
r
a
c
t
i
o
n

{\displaystyle division\ /\ fraction}

6
2

=
3

{\displaystyle \frac{6}{2}=3}

m
o
d

{\displaystyle mod}

m
o
d
u
l
o

{\displaystyle modulo}

r
e
m
a
i
n
d
e
r

c
a
l
c
u
l
a
t
o
r

{\displaystyle remainder\ calculator}

7

m
o
d

# 2
1

{\displaystyle 7\ mod\ 2=1}

.

{\displaystyle .}

p
e
r
i
o
d

{\displaystyle period}

d
e
c
i
m
a
l

p
o
i
n
t
,

d
e
c
i
m
a
l

s
e
p
a
r
a
t
o
r

{\displaystyle decimal\ point,\ decimal\ separator}

# 2.56
2
56

/

100

{\displaystyle 2.56=2+56/100}

a
b

{\displaystyle a^b}

p
o
w
e
r

{\displaystyle power}

e
x
p
o
n
e
n
t

{\displaystyle exponent}

2
3

=
8

{\displaystyle 2^3=8}

a

5

{\displaystyle a\ ^\ 5}

c
a
r
e
t

{\displaystyle caret}

e
x
p
o
n
e
n
t

{\displaystyle exponent}

2

# 3
8

{\displaystyle 2\ ^\ 3=8}