image imagewidth (px) 1.37k 1.37k | text stringlengths 66 308 |
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### Instruction:
Recognize the text in the image.
### Response:
\frac { T _ { 1 } ^ { 2 } } { T _ { 2 } ^ { 2 } } = \frac { a _ { 1 } ^ { 3 } } { a _ { 2 } ^ { 3 } } | |
### Instruction:
Recognize the text in the image.
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t g 2 x = \frac { 2 \cdot t g x } { 1 - t g ^ { 2 } x } | |
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Recognize the text in the image.
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\sqrt { a } = 2 ^ { - n } \sqrt { 4 ^ { n } a } | |
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Recognize the text in the image.
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a + \sqrt { \frac { b + c } { d + f } } | |
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Recognize the text in the image.
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( \frac { 1 } { m ^ { 2 } } - \frac { 3 m } { n } + \frac { 2 } { m n } ) | |
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d = k b | |
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9 | |
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5 4 - 1 2 7 \leq - 7 2 | |
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[ \sqrt { \sin ^ { r } v } ^ { u + B E } ] | |
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Recognize the text in the image.
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G | |
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Recognize the text in the image.
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\frac { y _ { i + 1 } - y _ { i } } { x _ { i + 1 } - x _ { i } } = f ( x _ { i } , y _ { i } ) | |
### Instruction:
Recognize the text in the image.
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\int \limits _ { a } ^ { b } f ( x ) d x = F ( b ) - F ( a ) | |
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Recognize the text in the image.
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1 . 7 | |
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Recognize the text in the image.
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\int e ^ { - z ^ { 2 } } d z = e r f ( z ) | |
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\lim \limits _ { x \rightarrow \frac { \pi } { 2 } + 0 } \tan x = - \infty | |
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Recognize the text in the image.
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e j | |
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Recognize the text in the image.
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a y + b x = c | |
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Recognize the text in the image.
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\lim \limits _ { y \rightarrow \infty } y \sin ( \frac { c } { y } ) = c | |
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Recognize the text in the image.
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\sin x = \sin ( x + 2 \pi k ) | |
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Recognize the text in the image.
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( 2 6 \times ( 1 0 9 + 4 ) ) + ( 9 5 - 1 4 5 - 1 4 9 ) = 3 0 3 7 | |
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Recognize the text in the image.
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9 . 7 | |
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\beta = \frac { u } { c } | |
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\frac { Y } { 4 . 1 } | |
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Recognize the text in the image.
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u = x ^ { 2 } | |
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Recognize the text in the image.
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1 8 6 / ( ( 9 1 + 1 5 1 ) / ( 1 8 - 1 3 3 ) ) = - 8 8 . 3 9 | |
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Recognize the text in the image.
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k - m | |
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( x + 1 ) ^ { n + 1 } = ( x + 1 ) ( x + 1 ) ^ { n } | |
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\int \cos t d t = \sin t | |
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S + ( w ) | |
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A _ { 2 k } = \frac { 2 R A _ { k } } { 2 R + \sqrt { 4 R ^ { 2 } + A _ { k } ^ { 2 } } } | |
### Instruction:
Recognize the text in the image.
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\frac { 1 } { 2 } + \frac { 1 } { 3 } + \frac { 1 } { 4 } = \frac { 6 + 4 + 3 } { 1 2 } = \frac { 1 3 } { 1 2 } | |
### Instruction:
Recognize the text in the image.
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x = a _ { 0 } + \frac { 1 } { a _ { 1 } + \frac { 1 } { a _ { 2 } + \frac { 1 } { a _ { 3 } + \ldots } } } | |
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Recognize the text in the image.
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\forall u \in V | |
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X ( z ) | |
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x = \frac { c } { d } | |
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Recognize the text in the image.
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x = \frac { 0 , 1 5 5 \times 1 0 0 } { 0 , 1 8 3 } | |
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Recognize the text in the image.
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x _ { 1 } - x _ { 2 } + y _ { 1 } - y _ { 2 } + z _ { 1 } - z _ { 2 } | |
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Recognize the text in the image.
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\sqrt { i } ^ { E } | |
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Recognize the text in the image.
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\frac { x _ { 1 } } { \frac { x _ { 2 } } { \frac { x _ { 3 } } { x _ { 4 } } } } | |
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Recognize the text in the image.
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\int \frac { \sin ( x ) + 1 } { \sqrt { \cos ^ { 3 } ( x ) + \tan ( x ) } } d x | |
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Recognize the text in the image.
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\tan ( \frac { \pi } { 4 } ) = 1 | |
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Recognize the text in the image.
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t | |
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Recognize the text in the image.
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a > \sin 8 | |
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( t ) ^ { l } ( I ) | |
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\lim \limits _ { x \rightarrow \frac { \pi } { 2 } + 0 } \tan x = - \infty | |
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Recognize the text in the image.
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1 + 2 + 3 + \ldots + ( n - 1 ) + n | |
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Recognize the text in the image.
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\lim \limits _ { n \rightarrow \infty } x _ { n } = L | |
### Instruction:
Recognize the text in the image.
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a _ { 5 } x ^ { 5 } + a _ { 4 } x ^ { 4 } + a _ { 3 } x ^ { 3 } + a _ { 2 } x ^ { 2 } + a _ { 1 } x ^ { 1 } + a _ { 0 } = 0 | |
### Instruction:
Recognize the text in the image.
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\tan ( \frac { \pi } { 2 } ) = \infty | |
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Recognize the text in the image.
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y o | |
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Recognize the text in the image.
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\cos ^ { 3 } y = \frac { 1 } { 4 } ( \cos 3 y + 3 \cos y ) | |
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Recognize the text in the image.
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\frac { \sqrt { 9 9 x ^ { 7 } } } { 1 1 x ^ { 3 } } | |
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Recognize the text in the image.
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\frac { 2 \pi } { 4 5 } | |
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\mu | |
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M - F | |
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\frac { 1 } { \frac { 1 } { 2 } ( \frac { 1 } { a } + \frac { 1 } { b } ) } = \frac { 2 a b } { a + b } | |
### Instruction:
Recognize the text in the image.
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\sqrt [ n ] { 1 } = \cos \frac { 2 k \pi } { n } + i \sin \frac { 2 k \pi } { n } | |
### Instruction:
Recognize the text in the image.
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x ^ { 3 } = 1 8 x + 3 5 | |
### Instruction:
Recognize the text in the image.
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1 1 7 \pm 8 5 \div 1 0 9 | |
### Instruction:
Recognize the text in the image.
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a x ^ { 4 } + b x + c = 0 | |
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Recognize the text in the image.
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6 ^ { 6 } \cdot 6 ^ { 2 } = ( 6 ^ { x } ) ^ { 4 } | |
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Recognize the text in the image.
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u _ { n } = u _ { n _ { 0 } } | |
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i _ { 2 } = i _ { 1 } + i _ { s } | |
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Recognize the text in the image.
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p ( b ) | |
### Instruction:
Recognize the text in the image.
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\sum x - \frac { \beta } { k } \neq \frac { T - o } { y ^ { e } ( \phi ) } | |
### Instruction:
Recognize the text in the image.
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\sqrt { x } = 1 0 ^ { ( \log x ) / 2 } | |
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Recognize the text in the image.
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u , v , w , x | |
### Instruction:
Recognize the text in the image.
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1 + \frac { \sqrt { a ^ { 2 } + 1 + b } } { 3 } | |
### Instruction:
Recognize the text in the image.
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X _ { 2 } = - \frac { 4 9 } { 4 } | |
### Instruction:
Recognize the text in the image.
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a _ { n } , b _ { n } , c _ { n } | |
### Instruction:
Recognize the text in the image.
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\sum \limits _ { 4 = y } ^ { - d } z - c | |
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Recognize the text in the image.
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- N ^ { \sqrt { t } } v | |
### Instruction:
Recognize the text in the image.
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1 + 1 = 2 | |
### Instruction:
Recognize the text in the image.
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\frac { 2 } { \frac { 3 m - 2 n \times 9 ^ { n } - 9 ^ { m } } { 2 n - 1 } } | |
### Instruction:
Recognize the text in the image.
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( 7 - 7 7 - 7 8 ) / 1 6 6 \geq 0 | |
### Instruction:
Recognize the text in the image.
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\cos \theta = \frac { x } { \sqrt { x ^ { 2 } + y ^ { 2 } } } | |
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\sqrt { 1 } | |
### Instruction:
Recognize the text in the image.
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A = \sqrt { a + \frac { 1 } { \sqrt { a + \frac { 1 } { \sqrt { a } } } } } + \sqrt { b } | |
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Recognize the text in the image.
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\frac { j - c } { - y } | |
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h | |
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\sum 6 . 7 - \Delta | |
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p = \sqrt { a ^ { 2 } + b ^ { 2 } - 2 a b \cos A } | |
### Instruction:
Recognize the text in the image.
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\sin \frac { \pi } { 4 } = \cos \frac { \pi } { 4 } = \frac { \sqrt { 2 } } { 2 } | |
### Instruction:
Recognize the text in the image.
### Response:
\frac { 1 } { \sin ( x ) + 1 } | |
### Instruction:
Recognize the text in the image.
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\frac { x ^ { 4 } } { 2 ^ { 3 } } - ( \frac { 2 } { x } ) ^ { - 4 } | |
### Instruction:
Recognize the text in the image.
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a ^ { 2 } + b ^ { 2 } = ( a + b i ) ( a - b i ) | |
### Instruction:
Recognize the text in the image.
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\frac { 2 } { \frac { 3 m - 2 n \times 9 ^ { n } - 9 ^ { m } } { 2 n - 1 } } | |
### Instruction:
Recognize the text in the image.
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1 0 2 + 7 2 \geq 1 7 3 | |
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Recognize the text in the image.
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b _ { i , n } ( t ) | |
### Instruction:
Recognize the text in the image.
### Response:
\frac { T _ { 1 } ^ { 2 } } { T _ { 2 } ^ { 2 } } = \frac { a _ { 1 } ^ { 3 } } { a _ { 2 } ^ { 3 } } | |
### Instruction:
Recognize the text in the image.
### Response:
\frac { 2 } { \frac { 3 m - 2 n \times 9 ^ { n } - 9 ^ { m } } { 2 n - 1 } } | |
### Instruction:
Recognize the text in the image.
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a x ^ { 4 } + b x + c = 0 | |
### Instruction:
Recognize the text in the image.
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a ^ { x } + b ^ { x } + \frac { c } { 2 } | |
### Instruction:
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( - s ) | |
### Instruction:
Recognize the text in the image.
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\sqrt { \alpha } | |
### Instruction:
Recognize the text in the image.
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\sqrt { y + l } | |
### Instruction:
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o + \theta \leq ( o ) | |
### Instruction:
Recognize the text in the image.
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\sqrt { x } ^ { k \Delta } ( i _ { L } ) | |
### Instruction:
Recognize the text in the image.
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- I | |
### Instruction:
Recognize the text in the image.
### Response:
x _ { 1 } + x _ { 2 } = x _ { 3 } |
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