Datasets:
deepcopy
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Azu-Handwritten-Mathematical-Expression

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\cos ( n x ) = 2 \cos ( x ) \cos [ ( n - 1 ) x ] - \cos [ ( n - 2 ) x ]
2014
\alpha z
train
- ( \beta )
train
\frac { 1 } { x + y } - \frac { 1 } { x - y } = \frac { - 2 y } { x ^ { 2 } - y ^ { 2 } }
2014
\cdots - n ( y )
train
\sqrt { x + N } ^ { B _ { P } + l }
train
\sqrt { 1 + \sqrt { 2 + \sqrt { 3 + \sqrt { 4 } } } }
train
\frac { n ( n - 1 ) } { 2 } - \frac { ( n - 2 ) ( n - 3 ) } { 2 } = 2 n - 3
2016
u + u - V
train
P _ { 2 } ( x ) = x ^ { 2 } - a x + b
2019
y ^ { 4 } + y + 1 = 0
train
\lim _ { y \rightarrow \infty } y \sin ( \frac { c } { y } ) = c
train
c _ { p d }
train
\tan \theta / 2
2019
x < \frac { c - b } { a }
train
y _ { \phi }
train
g _ { w }
train
j = \frac { g _ { 2 } ^ { 3 } } { g _ { 2 } ^ { 3 } - 2 7 g _ { 3 } ^ { 2 } }
train
x ^ { 2 } + 2 x = 0
train
\frac { R \beta } { u }
train
\cos ^ { 2 } ( t \sqrt { C } ) = 0
2016
0 + 0 + 0 + 0 + 0 + 0 = 0
2014
p _ { 1 0 } < p _ { 7 } + p _ { 8 } + p _ { 9 }
2016
\frac { n } { 2 } + \frac { m } { 2 } b ^ { - 2 }
2019
a + 0 = a
train
e ^ { x } + 1 8 x + 1 2
2014
\frac { 4 + 4 } { 4 + 4 }
2014
\frac { y } { T X }
train
\frac { 1 } { 3 } \pi r ^ { 2 } h
train
\cos ( 4 a ) = 8 \cos ^ { 4 } ( a ) - 8 \cos ^ { 2 } ( a ) + 1
train
\pi
train
\sum _ { i = 1 } ^ { n } x _ { n } = \sum _ { i = 1 } ^ { n } y _ { n }
2014
( \frac { X } { 9 } )
train
e _ { f _ { g _ { h } } }
train
v _ { \pm 1 , \pm 2 _ { , } \pm 3 }
2014
\sqrt { m - h + I }
train
\lim _ { x \rightarrow - 1 } \frac { x ^ { 3 } + 1 } { x + 1 }
train
( y ^ { 4 } - 1 ) / ( y ^ { 2 } - 1 )
train
\lim _ { x \rightarrow a } \frac { f ( x ) } { g ( x ) } = 1
train
S = ( \sum _ { i = 1 } ^ { n } \theta _ { i } - ( n - 2 ) \pi ) r ^ { 2 }
train
\sum _ { i = 0 } ^ { n - 1 } g _ { i + 1 } x ^ { i }
2019
\frac { 1 9 x } { 4 } = \frac { 3 } { 4 }
train
h = \frac { 1 } { 2 } g t ^ { 2 }
train
M _ { 3 }
2014
a + b + c + d + e
train
[ b ] \times [ b ]
2016
f ( a , b , c ) = - \frac { n b } { a + c }
train
q
train
x ^ { 2 } + y ^ { 2 } = z ^ { 2 }
train
\pm i a
train
X = \sqrt { x ^ { a } x _ { a } + x ^ { a ^ { \prime } } x _ { a ^ { \prime } } }
2019
\frac { 1 } { 1 } + \frac { 1 } { 2 } + \frac { 1 } { 3 } + \ldots + \frac { 1 } { n }
train
1 1 3 + ( 7 5 \div ( 1 2 1 \times 5 1 ) ) \geq 1 1 2
train
t _ { 0 } \leq t \leq b
2014
1 0 ^ { \sqrt { N \log N } }
2016
x _ { k } x y _ { k } + y _ { k } y y _ { k }
2014
\frac { 1 } { \sin ( x ) + 1 }
train
\frac { \sqrt { 1 + \cos ^ { 2 } ( \theta ) } } { 2 } = \cos ( 2 \theta )
train
\alpha
train
\sin k _ { n } x ^ { 5 }
2019
n ! - 1
train
c ^ { 2 } = a ^ { 2 } + b ^ { 2 } - 2 a b \cos C
train
2 + 2
train
\log _ { b } a = \frac { \log _ { c } a } { \log _ { c } b }
2014
\frac { \sin \theta + \cos \theta + \tan \theta } { x + y + z }
train
c ( s )
train
2 \sin ( x - y ) \sin ( x + y ) = \cos ( 2 y ) - \cos ( 2 x )
2016
a ^ { 2 } + b ^ { 2 } = ( a + b i ) ( a - b i )
train
( ( 4 3 / 1 8 2 ) \times 6 ) \times 6 \geq 8
train
\sqrt { \frac { 1 + \sin ^ { 2 } \alpha } { 2 } } = \cos \alpha
train
\lim u _ { n } = 0
train
[ a ] [ b ] = [ a b ]
2014
2 + 3 = 5
train
a + b + c + d + e
train
\lim _ { x \rightarrow \infty } e ^ { - x ^ { 2 \alpha - 2 } x ^ { 4 \alpha - 2 } }
2016
g ( y ) = 1
train
V
train
f ^ { ' } ( x ) = \frac { 1 } { 2 \sqrt { x } }
train
\int _ { a } ^ { b } f ( x ) d x \leq \int _ { a } ^ { b } g ( x ) d x
train
\log _ { 2 } 8 + \log _ { 3 } 9 + \log _ { 4 } 1 6
train
x ^ { 5 } - x ^ { 9 }
2019
\sin ( \pi z )
train
P _ { 0 }
2014
k ^ { 3 } + 1 4 k ^ { 2 } - 1 3 2 k + 1 7 8 9
train
8 . 0 7 7 7
2016
\frac { 1 } { 4 } + ( \frac { 1 } { 4 } ) ^ { 2 } + ( \frac { 1 } { 4 } ) ^ { 3 } + \cdots = \frac { 1 } { 3 }
train
\int \limits _ { 0 } ^ { 1 } \int \limits _ { 0 } ^ { 1 } x ^ { 2 } y ^ { 2 } d x d y
train
f ( x ) = 1
train
\sqrt [ 3 ] { x ^ { 2 } }
2014
x _ { 1 } \times x _ { 2 } \times x _ { 3 } \times x _ { 4 } = X
train
F _ { n } = F _ { n - 1 } + F _ { n - 2 }
train
f ( x , y ) = \frac { x } { y } + x y
train
\tan s
train
a = b \cos C + c \cos B
train
[ \frac { 2 } { 3 } x ^ { \frac { 3 } { 2 } } ] _ { 0 } ^ { 1 }
train
+ 1 - 1 + 1 - 1 + 1 = + 1
2016
\sum _ { n = 0 } ^ { \infty } f _ { n } ( x )
train
\cos \beta _ { n } x
2019
m ^ { 3 }
2014
d = \frac { a _ { 0 } ( t ) b _ { 0 } ( t ) } { a _ { 0 } ( 0 ) b _ { 0 } ( 0 ) }
2016