dataset stringclasses 22
values | level stringclasses 3
values | question stringlengths 16 136 | question_type stringclasses 10
values | question_id int64 0 998 | image imagewidth (px) 27 4.96k | answer listlengths 1 4 | description stringlengths 158 1.42k |
|---|---|---|---|---|---|---|---|
POIE | difficult | what is the value for Calories/Energy of per serving? Answer this question using the text in the image directly. | Key Information Extraction | 897 | [
"858",
"206"
] | The image is a table comparing the nutritional values of two different types of food. The first column lists the type of nutrient, such as energy (kcal), fat, saturates, carbohydrates, sugars, and protein. The second column shows the per 100g values for each nutrient, with the first food having higher values for energy... | |
POIE | difficult | what is the value for Sodium of per 100g/ml? Answer this question using the text in the image directly. | Key Information Extraction | 899 | [
"15mg",
"15 mg"
] | The image is a nutrition label for a food product. It lists the calories per serving, which is 150 calories, and the percentage of daily value (% DV) for various nutrients. The nutrients listed include total fat, saturated fat, trans fat, cholesterol, sodium, total carbohydrates, dietary fiber, total sugars, and protei... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 900 | [
"y _ { 2 } = - 1\n",
"y_2 = - 1\n"
] | The image shows a handwritten note with the letters "Y" and "E" written in black ink on a white background. The writing appears to be done with a pen or marker, and the letters are written in a cursive style. The "Y" is larger and more prominent than the "E," and both letters are connected at the top. The handwriting i... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 901 | [
"x _ { 1 } = \\frac { - 2 + 2 \\sqrt { 2 } } { 2 }\n",
"x_1 = \\frac { - 2 + 2 \\sqrt { 2 } } { 2 }\n"
] | The image shows a mathematical expression written in black ink on a white background. The expression appears to be a fraction with a numerator and a denominator. The numerator contains the number 3 and a plus sign, followed by another number which is not fully visible. The denominator contains the number 1. The overall... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 902 | [
"V = \\frac { F } { \\rho } = \\frac { 7 . 6 N } { 0 . 8 \\times 1 0 ^ { 3 } k g / m ^ { 2 } \\times 1 0 N / k g } = 0 . 9 5 \\times 1 0 ^ { - 3 } m ^ { 3 }\n",
"V = \\frac { F } { \\rho } = \\frac { 7 . 6 N } { 0 . 8 \\times 1 0 ^3 k g / m^2 \\times 1 0 N / k g } = 0 . 9 5 \\times 1 0 ^ { - 3 } m^3\n"
] | The image shows a piece of paper with handwritten text in black ink. The text appears to be a mathematical equation or expression, as it includes the symbols "x" and "/". There is also a line drawn through the text, indicating that it may have been crossed out or marked for correction. The background of the paper is wh... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 904 | [
"I _ { 2 } = \\frac { u } { R _ { 2 } } = \\frac { 6 V } { 1 0 \\Omega } = 0 . 6 A\n",
"I _2= \\frac { u } { R_2} = \\frac { 6 V } { 1 0 \\Omega } = 0 . 6 A\n"
] | The image shows a handwritten mathematical equation. The equation is written in black ink on a white background. The equation reads "-2/6V". The number "-2" is written at the top left corner of the equation, and the fraction "1/6V" is written at the bottom right corner. The equation appears to be a ratio or proportion ... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 905 | [
"- 6 x = \\frac { 2 } { 3 } - 3 + 4\n"
] | The image shows a mathematical equation written in black ink on a white background. The equation is a fraction with the number 2 as the numerator and the number 3 as the denominator, separated by a horizontal line. The equation is centered in the image and takes up most of the space. The numbers are written in a simple... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 906 | [
"\\frac { 6 . 8 } { x } = \\frac { 1 . 7 } { 4 }\n"
] | The image shows a handwritten mathematical equation on a white surface. The equation appears to be a fraction with the numerator being "1" and the denominator being "x^2 - 7x + 8". The handwriting is in black ink, and the equation is written in a cursive style. The background of the image is plain white, and there are ... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 909 | [
"\\angle A O B = \\angle B O A _ { 1 } + \\angle A _ { 1 } O A\n",
"\\angle A O B = \\angle B O A _1 + \\angle A _1 O A\n"
] | The image shows a handwritten equation that reads "B^3 + A^4". The equation appears to be written in black ink on a white background. The letters "B" and "A" are capitalized, and the numbers "3" and "4" are written in superscript form to indicate exponentiation. The equation is written in a cursive style, with the lett... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 910 | [
"x = \\frac { 1 7 } { 5 }\n"
] | The image is a close-up of a blurred text that reads "K2". The text appears to be in a serif font and is slightly tilted to the right. The background is a solid light color, possibly white or cream. The overall effect is abstract and minimalistic. | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 911 | [
"2 S _ { 3 } = 5 S _ { 1 } + 2 S _ { 2 }\n",
"2 S_3 = 5 S_1 + 2 S_2 \n"
] | The image appears to be a close-up of a handwritten letter or symbol. The writing is done in black ink on a white background. The style of the writing is cursive, with flowing lines and loops. The letter or symbol is not immediately recognizable due to the close-up nature of the image. | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 912 | [
"x = \\frac { 3 } { 1 6 } \\div \\frac { 1 } { 8 }\n"
] | The image shows a handwritten mathematical expression on a white surface. The expression is "3 - √7T/16", which represents the subtraction of the square root of 7 times T, all divided by 16, from the number 3. The handwriting is in black ink and appears to be done with a pen or marker. The background is plain white, wi... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 913 | [
"( 3 x + y ) ( 3 x - y ) = 0\n"
] | The image shows a piece of paper with handwritten text. The text appears to be a mathematical expression or equation, as indicated by the use of parentheses and the number "3". The handwriting is in black ink and the paper has a white background. The text is written in a cursive style, with the letters connected to eac... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 914 | [
"( x - 1 ) + \\frac { 2 } { x - 1 } = \\frac { a ^ { 2 } - 2 a + 1 } { a - 1 } + \\frac { 2 } { a - 1 }\n",
"( x - 1 ) + \\frac { 2 } { x - 1 } = \\frac { a^2 - 2 a + 1 } { a - 1 } + \\frac { 2 } { a - 1 }\n"
] | The image appears to be a handwritten equation or mathematical expression. It consists of the letter "O" written in a cursive style, followed by a dash and then the symbol for a square root. The square root symbol is incomplete and does not enclose any numbers or variables. The handwriting is done with a thin, continuo... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 915 | [
"\\lambda \\geq [ \\frac { 2 n } { n ^ { 2 } + 5 n + x } ] \\max\n",
"\\lambda \\geq [ \\frac { 2 n } { n^2 + 5 n + x } ] \\max\n"
] | The image shows a handwritten mathematical expression on a piece of paper. The expression is a fraction with the numerator "2" and the denominator "h^2 + t^2". The handwriting appears to be in black ink, and the paper has a grid pattern in the background. | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 917 | [
"\\sqrt { 1 + \\frac { 2 4 } { 2 5 } } = \\frac { 7 } { 5 }\n"
] | The image shows a handwritten calculation on a piece of paper. The calculation is for the subtraction of 24 from 25, which results in 1. The numbers are written in black ink and the paper has lines on it, suggesting it may be a notebook or lined paper. The handwriting appears to be neat and legible. | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 918 | [
"9 . 3 \\times 5 . 6 = 5 2 . 0 8 ( m ^ { 2 } )\n",
"9 . 3 \\times 5 . 6 = 5 2 . 0 8 ( m^2 )\n"
] | The image shows a handwritten equation with the symbol "≥" followed by the number "5". The equation is written in black ink on a white background. The handwriting appears to be in cursive style, with the letters flowing together. The equation suggests that the value being represented must be greater than or equal to 5. | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 919 | [
"\\frac { 1 } { 2 } m + 3 = 1\n"
] | The image shows a handwritten equation that reads "x^2 + 3". The equation is written in black ink on a white background. The handwriting appears to be in cursive style, with the letters flowing together. The equation suggests that it is a quadratic equation with a constant term of 3. | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 920 | [
"b = \\sqrt { 3 }\n",
"b = \\sqrt3 \n"
] | The image shows a mathematical equation written in black ink on a white surface. The equation is "√3 - 1/√3". The square root symbol (√) is used twice in the equation, once before the number 3 and once before the fraction 1/√3. The fraction 1/√3 is written with the number 1 above the square root symbol and the number 3... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 923 | [
"9 0 \\div 3 . 1 4 \\approx 2 8 . 7 ( c m )\n"
] | The image shows a black and white abstract design that resembles a flowing river or a curved line. The line is thick and has a smooth, wavy texture that gives the impression of movement. The background is plain and light-colored, which contrasts with the dark color of the line. The overall effect is one of simplicity a... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 924 | [
"a + b = - c\n"
] | The image appears to be a close-up of a surface with two black vertical lines. The background is a light color, possibly white or cream, and there are some darker spots or marks scattered around the area. The texture of the surface is not clear due to the close-up nature of the photo. The black lines are straight and h... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 926 | [
"\\frac { 1 } { 5 } \\times \\frac { 2 4 } { 5 } = 0 . 9 6\n"
] | The image shows a handwritten equation on a white surface. The equation is "22 ÷ 5 = 4.4". The numbers and the division symbol are written in black marker, with the equals sign and the decimal point slightly smudged. The handwriting is slightly messy, with the numbers not perfectly straight or aligned. The background o... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 927 | [
"y = \\frac { 1 } { 3 } x + 2\n"
] | The image shows a handwritten mathematical equation on a piece of paper. The equation appears to be a fraction, with the numerator being a single vertical line and the denominator being the number 2 written in cursive script. Below the fraction, there is the letter X written in uppercase. The handwriting is done in bla... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 933 | [
"5 0 0 \\sqrt { 3 } + 5 0 0\n",
"5 0 0 \\sqrt3 + 5 0 0\n"
] | The image shows a piece of paper with handwritten mathematical equations. The equations appear to be related to trigonometry, specifically involving the sine function. The handwriting is in black ink and the paper has a white background. The equations are written in a vertical column and take up most of the space on th... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 935 | [
"\\cos \\alpha = - \\frac { 3 } { 5 }\n"
] | The image appears to be a low-resolution, grayscale image with some text or symbols. The text is not clear enough to read, but it seems to consist of a few letters or characters that are not in focus. The background is a solid gray color, and the overall quality of the image is poor. | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 936 | [
"( 2 ) m g R = \\frac { 1 } { 2 } m V B ^ { 2 } - \\frac { 1 } { 2 } m V D ^ { 2 }\n",
"( 2 ) m g R = \\frac { 1 } { 2 } m V B ^2 - \\frac { 1 } { 2 } m V D^2\n"
] | The image shows a handwritten mathematical expression on a white surface. The expression appears to be a fraction with the numerator "l" (which could be a lowercase "L" or the letter "I") and the denominator "2m". The handwriting is in black ink and has a casual, informal style. The background is plain white, and there... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 939 | [
"\\Delta A D E \\cong \\Delta C B E ( S A S )\n"
] | The image shows a handwritten text that appears to be in cursive writing. The letters are connected and flowing, with loops and curves. The writing is done in black ink on a white background. The text is not entirely clear due to the angle and quality of the image, but it seems to resemble the word "cursive" or a simil... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 941 | [
"4 x ^ { 2 } + ( 4 n - 4 ) x + n ^ { 2 } = 0\n",
"4 x ^2 + ( 4 n - 4 ) x + n ^2 = 0\n"
] | The image shows a handwritten mathematical expression with the symbols "∂" and "μ" written in black ink on a white background. The "∂" symbol is commonly used to represent a partial derivative in calculus, while the "μ" symbol can represent various things depending on the context, such as the Greek letter mu or the sym... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 942 | [
"[ \\arccos \\frac { 1 } { 4 } , \\pi ]\n"
] | The image shows a handwritten number "105" in red ink on a white background. The numbers are written in cursive style, with the "1" being larger and more prominent than the "0" and "5". The "0" is slightly curved and the "5" has a long tail. The handwriting appears to be done with a marker or pen. | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 945 | [
"x = - \\frac { 3 } { 7 }\n"
] | The image appears to be a close-up of a surface with several small, dark spots or marks scattered across it. The background is a light beige color, and the spots are irregular in shape and size. It is difficult to determine what the surface is made of or what the spots represent without more context. | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 948 | [
"\\cos c = \\frac { a ^ { 2 } + b ^ { 2 } - c ^ { 2 } } { 2 a b }\n",
"\\cos c = \\frac { a ^2 + b ^2 - c^2 } { 2 a b }\n"
] | The image shows a handwritten mathematical equation on a piece of paper. The equation appears to be a quadratic equation in the form of ax^2 + bx + c = 0, where a, b, and c are constants. The handwriting is in black ink and the paper has a white background. The equation is written in a cursive style, with the letters c... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 949 | [
"1 4 . a / / c\n"
] | The image shows a simple, curved line that appears to be hand-drawn. The line has a smooth, flowing shape and is slightly uneven, giving it a casual and informal look. The background of the image is plain white, which makes the line stand out more prominently. There are no other elements or objects in the image, just t... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 951 | [
"3 \\sqrt { - 6 4 } = - 4\n"
] | The image shows a handwritten equation on a white background. The equation is written in black ink and reads "b^4 = b^6". The handwriting is cursive and the letters are connected, giving the equation a flowing appearance. The equation itself suggests that the fourth power of a variable "b" is equal to the sixth power o... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 952 | [
"1 > P > \\frac { 1 } { 2 }\n"
] | The image shows a handwritten symbol that appears to be a combination of the letter "P" and the number "7". The "P" is written in a cursive style with a loop at the top, and the "7" is written in a vertical line with a diagonal line extending from the top right corner. The handwriting is done in black ink on a white ba... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 955 | [
"\\rho = \\frac { m } { V } = \\frac { 2 k g } { 2 . 5 \\times 1 0 ^ { - 3 } m ^ { 3 } } = 8 0 0 k g / m ^ { 3 }\n",
"\\rho = \\frac { m } { V } = \\frac { 2 k g } { 2 . 5 \\times 1 0 ^ { - 3 } m ^3 } = 8 0 0 k g / m^3\n"
] | The image shows a handwritten equation on a white background. The equation is divided into two parts by a horizontal line. The top part of the equation has a single letter "m" written in black ink. The bottom part of the equation has the number "-3" written in black ink, followed by the letter "m" written in black ink.... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 957 | [
"\\angle B C D = 1 2 0 ^ { \\circ }\n",
"\\angle B C D = 1 2 0 ^ \\circ \n"
] | The image shows a single letter "D" in a bold, serif font. The letter is black and has a slight shadow effect, giving it a three-dimensional appearance. The background is a light blue color. | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 958 | [
"\\angle A B D = 9 0 ^ { \\circ } - 6 0 ^ { \\circ } = 3 0 ^ { \\circ }\n",
"\\angle A B D = 9 0 ^ \\circ - 6 0 ^\\circ = 3 0 ^ \\circ \n"
] | The image shows a handwritten mathematical expression, specifically the square root of 100. The numbers are written in black ink on a white background. The square root symbol is represented by a curved line with a small horizontal line at the top, indicating that the number inside the root should be squared to find its... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 959 | [
"\\angle B D E = \\angle B E D = \\frac { 1 } { 2 } ( 1 8 0 ^ { \\circ } - 3 0 ^ { \\circ } ) = 7 5 ^ { \\circ }\n",
"\\angle B D E = \\angle B E D = \\frac { 1 } { 2 } ( 1 8 0 ^ \\circ - 3 0 ^ \\circ ) = 7 5 ^ \\circ\n"
] | The image shows a handwritten mathematical equation on a piece of paper. The equation is a fraction with the number 1 as the numerator and the square of 2 (2^2) as the denominator. The handwriting appears to be in black ink, and the paper has a white background with lines for writing. The equation is centered on the pa... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 960 | [
"P ( 1 , - \\frac { 3 } { 2 } ) \\vert \\overrightarrow { F P } \\vert = \\frac { 3 } { 2 }\n"
] | The image shows a handwritten equation on a white piece of paper. The equation is written in blue ink and appears to be a mathematical expression, possibly involving variables and exponents. The handwriting is somewhat messy and the equation is not fully legible due to the quality of the image. | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 962 | [
"x _ { 3 } = - 2 + \\sqrt { 1 0 }\n",
"x_3 = - 2 + \\sqrt { 1 0 }\n"
] | The image shows a handwritten mathematical inequality. The inequality is written in black ink on a white background. The equation reads "x^2 > 2". This means that the value of x squared must be greater than 2 for the inequality to hold true. The handwriting appears to be neat and legible, with clear distinction between... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 964 | [
"x - \\frac { 1 } { x } = \\frac { 8 } { 3 }\n"
] | The image shows a black and white cross with a vertical line intersected by a shorter horizontal line. The cross appears to be hand-drawn with uneven lines and a rough texture. The background is plain and unadorned, allowing the cross to be the focal point of the image. | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 969 | [
"\\angle G O B + \\angle E O G + \\angle A O E = 1 8 0 ^ { \\circ }\n",
"\\angle G O B + \\angle E O G + \\angle A O E = 1 8 0^\\circ \n"
] | The image shows the word "DOG" written in black ink on a white background. The letters are capitalized and appear to be hand-written with a brush or marker, giving them a slightly uneven and organic look. The letters are spaced closely together, with the "D" and "G" being slightly larger than the "O". The overall appea... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 970 | [
"x _ { 1 } = 0\n",
"x _ 1 = 0\n"
] | The image shows a piece of fabric with two black lines drawn on it. The lines are parallel and evenly spaced, creating a sense of symmetry and balance in the design. The fabric appears to be a solid color, possibly white or light gray, which contrasts with the black lines and makes them stand out. The overall impressio... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 972 | [
"y = \\frac { 3 } { 2 }\n"
] | The image shows a close-up of a handwritten equation. The equation appears to be "i + i = 2i". The handwriting is in black ink on a white background. The letters and numbers are written in a cursive style, with the "i" being capitalized at the beginning of each instance. The equation suggests a basic principle of algeb... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 973 | [
"0 . 3 x + 0 . 7 x + 0 . 2 8 = - 0 . 4 x\n"
] | The image shows a handwritten equation on a piece of paper. The equation is "x^2 + x + 0". The handwriting is in black ink and the paper has blue lines. The equation appears to be a quadratic equation, which is commonly used in algebra to represent a parabola. | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 974 | [
"( \\frac { 2 } { 3 } ) ^ { 2 } \\cdot \\frac { 1 } { 3 } = \\frac { 4 } { 2 7 }\n",
"( \\frac { 2 } { 3 } )^2 \\cdot \\frac { 1 } { 3 } = \\frac { 4 } { 2 7 }\n"
] | The image shows a piece of paper with handwritten mathematical equations. The writing is in black ink and appears to be done with a pen or marker. The equations include numbers, fractions, and possibly some algebraic symbols, although the specific details of the equations are not clearly visible due to the angle and qu... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 976 | [
"\\frac { 9 } { 1 0 } = \\frac { 2 7 } { 3 0 }\n"
] | The image shows a mathematical equation written in black ink on a beige background. The equation is "x^2 = 3". This represents the equation of a parabola with a vertex at the origin (0,0) and a horizontal axis of symmetry. The parabola opens upwards and has a width of 3 units. | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 978 | [
"m > \\frac { 2 } { 3 }\n"
] | The image shows a handwritten mathematical equation on a white piece of paper. The equation appears to be a quadratic equation, with the variable "x" raised to the power of 2. There are also two other terms in the equation, one with the variable "x" and another constant term. The equation is written in black ink, with ... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 980 | [
"1 0 \\times 1 0 \\times 2 0 + 1 0 \\times 3 0 \\times 2 0 = 8 0 0 0 ( c m ^ { 3 } )\n",
"1 0 \\times 1 0 \\times 2 0 + 1 0 \\times 3 0 \\times 2 0 = 8 0 0 0 ( c m^3 )\n"
] | The image shows a handwritten equation that appears to be a multiplication problem. The equation is written in black ink on a white background. The numbers are slightly smudged and the handwriting is not very neat, making it difficult to read the exact values. The equation seems to involve two numbers being multiplied ... | |
HME100k | middle | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 981 | [
"4 x = 4 \\times 1 7 . 2 = 6 8 . 8\n"
] | The image shows the number 17 written in black ink on a white background. The number is slightly tilted to the right and has a handwritten appearance with uneven lines and edges. There are no other elements or objects in the image, just the number 17. | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 983 | [
"x > \\frac { 3 } { 2 }\n"
] | The image shows a handwritten mathematical inequality. The inequality is written in black ink on a white background. The left side of the inequality contains a symbol that resembles a stylized "3" with a horizontal line through it, and above the line, there is a smaller "3" with a dot above it. The right side of the in... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 985 | [
"- \\frac { 1 } { 2 }\n"
] | The image appears to be a handwritten note or signature. It consists of two vertical lines, one above the other, with the top line being slightly longer than the bottom line. The lines are thick and have a rough, uneven edge, suggesting that they were drawn quickly or with a heavy hand. The background is a plain, light... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 986 | [
"O D \\bot A B\n"
] | The image is a close-up of a blurry object that appears to be a black letter "L" with a white background. The letter is slightly tilted to the right and has a three-dimensional effect, giving it depth and dimension. The edges of the letter are sharp and defined, while the center is more indistinct and out of focus. The... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 989 | [
"\\frac { 3 } { 2 } y - y ^ { 2 } - \\frac { 1 } { 2 } = 0\n",
"\\frac { 3 } { 2 } y - y ^2 - \\frac { 1 } { 2 } = 0\n"
] | The image shows a handwritten equation or expression that appears to be written in cursive script. The text is somewhat blurred and the resolution is low, making it difficult to read the exact details of the equation. It seems to contain mathematical symbols such as integrals or summations, but the specifics are not cl... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 991 | [
"c \\% = \\frac { 5 . 3 g } { 2 0 g } \\times 1 0 0 \\% = 2 6 . 5 \\%\n"
] | The image shows a blurry text that appears to be "x100" written in a sans-serif font. The text is white with a slight shadow effect, giving it a slightly three-dimensional appearance. The background is a solid light gray color. The overall style of the image is minimalistic and modern. | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 992 | [
"4 = \\frac { 4 \\times 3 } { 1 \\times 3 } = \\frac { 1 2 } { 3 }\n"
] | The image shows a handwritten mathematical equation. The equation is written in blue ink on a white background. The equation appears to be a fraction, with the numerator being "h^4x^3" and the denominator being "h^2x^3". The equation is written in a cursive style, with the letters flowing together. The equation is cent... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 993 | [
"f ( - 1 ) \\cdot f ( 1 ) \\leq 0\n"
] | The image shows a handwritten equation in pink ink on a white background. The equation appears to be a fraction with the numerator being a single letter "f" and the denominator being a combination of the letters "f" and "k". The handwriting is slightly messy, with the lines of the equation not being perfectly straight.... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 994 | [
"\\frac { 1 } { x + y } = \\frac { 1 } { 2 }\n"
] | The image shows a handwritten equation on a white surface. The equation is written in black ink and appears to be a mathematical expression involving the variable "y". The handwriting is somewhat messy, with some of the letters and numbers overlapping or not fully formed. The equation itself is not fully visible, as on... | |
HME100k | difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 997 | [
"x > - \\frac { 5 } { 2 }\n"
] | The image shows a handwritten mathematical expression on a white piece of paper. The expression consists of two symbols: a greater than or equal to sign (≥) and a less than or equal to sign (≤). The symbols are written in black ink and appear to be drawn with a pen or marker. The paper has a smooth texture and is free ... | |
HME100k | very_difficult | Please write out the expression of the formula in the image using LaTeX format. | Handwritten Mathematical Expression Recognition | 998 | [
"\\angle B A C = \\frac { 1 } { 2 } \\angle B O C\n"
] | The image shows a handwritten mathematical equation on a white surface. The equation is written in black ink and appears to be a ratio or fraction, with the numerator being "1" and the denominator being a complex expression involving the square root of "L^2". The handwriting is somewhat messy and the equation is not fu... |
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