WaltonFuture/MMR1-combine-syn · Datasets at Hugging Face

images images listlengths 1 1	problem stringlengths 7 4.91k	answer stringlengths 1 34
	<image>In the table shown in the image, each cell contains a number. The numbers in the cells follow a specific pattern. If the sum of the numbers in the top row is 100, what is the sum of the numbers in the bottom row?	NA
	<image>Simplify the expression \(\frac{3}{2}i + \frac{1}{1-i}\) into the form \(a + bi\), where \(a\) and \(b\) are real numbers.	NA
	<image>What is the length of the object in centimeters as measured from the 0 cm mark to the end of the object?	NA
	<image>Identify the historical figure depicted in the image and explain the significance of their contributions to society.	NA
	<image>What is the smallest value of \( \alpha \) for which the algorithm in the flowchart will terminate?	NA
	<image>Which of the following symbols represents a left turn?	NA
	<image>What is the decimal approximation of the fraction $\frac{22}{7}$?	NA
	<image>What was the average speed of the vehicle between 7:08 AM and 7:12 AM?	NA
	<image>Solve for \( z \) in the equation \( 20 + 37 = z \).	NA
	<image>What is the value of S after the loop terminates in the given flowchart?	NA
	<image>In the given trapezoid \(ABCD\) with \(AB \parallel DC\), angle \(1\) at vertex \(B\) measures \(60^\circ\). If the length of \(AB\) is \(8\) units and the height from \(B\) perpendicular to \(DC\) is \(4\) units, find the length of \(DC\).	NA
	<image>How many paperclips are there in total in the image?	NA
	<image>What is the value of n when the loop in the flowchart terminates?	NA
	<image>What is the value of S after the loop in the flowchart has executed three times?	NA
	<image>What is the result of the sequence of operations starting from 3+7, followed by -5, then +2, and finally -6?	NA
	<image>What is the value of S after the loop completes when the initial value of T is set to 9 and the loop condition is T ≤ 19? Assume that the input values for 'a' are such that they do not affect the final value of S.	NA
	<image>What is the value of \( T \) after the loop completes when the initial values of \( T \) and \( I \) are set to 1?	NA
	<image>How many matches are needed to create the equation "14 + 1 = 15" using matchsticks?	NA
	<image>What is the total surface area of the purple cube in the image?	NA
	<image>In the given figure, triangle \( \triangle AOB \) is inscribed in a circle with center \( O \). If \( \angle AOB = 120^\circ \) and \( AB = 6 \), find the length of \( AC \) where \( C \) is the midpoint of \( AB \).	NA
	<image>The flowchart in the image describes an algorithm that calculates a value of `i` based on the input `n`. The algorithm starts with `S=0` and `i=1`, then iteratively updates `S` by adding `2*S + i` and increments `i` by 1 until `S` is greater than or equal to `n`. What is the value of `i` when the algorithm terminates for an input `n = 100`?	NA
	<image>Find the value of \( k \) such that the integral \(\int_{0}^{1}(x-k)dx = \frac{3}{2}\).	NA
	<image>What is the value of T when the loop in the flowchart terminates?	NA
	<image>In the given figure, triangle ABC is isosceles with AB = AC. Point E lies on side AB, and point D lies on side AC such that BE = CD. If angle AEB is 70 degrees, what is the measure of angle BCD?	NA
	<image>What word is formed when you rotate the letters in the given text 90 degrees clockwise?	NA
	<image>What is the significance of the water droplets in the image, and how might they relate to the concept of time or change?	NA
	<image>What is the value of n when the loop in the flowchart terminates?	NA
	<image>What is the value of S after the loop ends when the initial conditions are set as S=1 and i=1, and the loop continues until i is no longer less than 4?	NA
	<image>What is the final value of $s$ after the loop in the given flowchart?	NA
	<image>What is the sum of the numbers represented by the shapes in the image?	NA
	<image>In the given figure, \(ABCD\) is a rectangle with \(AB = 18\). Point \(C\) is the center of a semicircle with diameter \(AE\), where \(E\) lies on the extension of \(BC\). The angle \(\angle DFE = 60^\circ\). If \(DE = 24\), find the length of \(EF\).	NA
	<image>What common theme or concept does the sequence of symbols in the image represent?	NA
	<image>What is the smallest value of \(a\) for which the algorithm in the flowchart will terminate?	NA
	<image>What safety measures should be taken when riding a bicycle as depicted in the image?	NA
	<image>In the given figure, rectangle \(ABCD\) has a side length of 96 units. A square \(EFGH\) is inscribed in the rectangle such that one of its sides lies along \(AD\). The diagonal \(EF\) intersects the diagonal \(AC\) at point \(I\). If the area of the circle inscribed in square \(EFGH\) is equal to the area of triangle \(AIE\), find the side length of the square \(EFGH\).	NA
	<image>What is the value of x and k when the loop terminates in the given flowchart?	NA
	<image>What is the value of S after the loop completes when k = 5?	NA
	<image>What volume of liquid was transferred from the first container to the second container in the image?	NA
	<image>What is the value of \( n \) when the loop in the flowchart ends?	NA
	<image>What is the average speed of the vehicle represented by the line segment AB in the graph?	NA
	<image>Given the equation \(\sin \alpha = \frac{1}{2}\), find all possible values of \(\alpha\) in the interval \([0^\circ, 360^\circ]\).	NA
	<image>What is the distance between point A and point A' on the number line?	NA
	<image>In the given figure, \(ABCD\) is a rectangle with \(AB = 11\). A circle is inscribed in the rectangle, touching all four sides. Point \(E\) lies on side \(DE\) such that \(DE = 20\). The circle also touches \(DE\) at point \(F\), and line segment \(EF\) intersects the circle again at point \(G\). If \(EG = 8\), find the length of \(DG\).	NA
	<image>What is the value of `b` when the loop terminates in the given flowchart?	NA
	<image>What geometric shapes are present in the image, and how do their sizes compare?	NA
	<image>What is the value of S after the loop in the flowchart has executed four times?	NA

<image>In the table shown in the image, each cell contains a number. The numbers in the cells follow a specific pattern. If the sum of the numbers in the top row is 100, what is the sum of the numbers in the bottom row?

NA

<image>Simplify the expression $\frac{3}{2}i + \frac{1}{1-i}$ into the form $a + bi$, where $a$ and $b$ are real numbers.

NA

<image>What is the length of the object in centimeters as measured from the 0 cm mark to the end of the object?

NA

<image>Identify the historical figure depicted in the image and explain the significance of their contributions to society.

NA

<image>What is the smallest value of $ \alpha $ for which the algorithm in the flowchart will terminate?

NA

<image>Which of the following symbols represents a left turn?

NA

<image>What is the decimal approximation of the fraction $\frac{22}{7}$?

NA

<image>What was the average speed of the vehicle between 7:08 AM and 7:12 AM?

NA

<image>Solve for $ z $ in the equation $ 20 + 37 = z $.

NA

<image>What is the value of S after the loop terminates in the given flowchart?

NA

<image>In the given trapezoid $ABCD$ with $AB \parallel DC$, angle $1$ at vertex $B$ measures $60^\circ$. If the length of $AB$ is $8$ units and the height from $B$ perpendicular to $DC$ is $4$ units, find the length of $DC$.

NA

<image>How many paperclips are there in total in the image?

NA

<image>What is the value of n when the loop in the flowchart terminates?

NA

<image>What is the value of S after the loop in the flowchart has executed three times?

NA

<image>What is the result of the sequence of operations starting from 3+7, followed by -5, then +2, and finally -6?

NA

<image>What is the value of S after the loop completes when the initial value of T is set to 9 and the loop condition is T ≤ 19? Assume that the input values for 'a' are such that they do not affect the final value of S.

NA

<image>What is the value of $ T $ after the loop completes when the initial values of $ T $ and $ I $ are set to 1?

NA

<image>How many matches are needed to create the equation "14 + 1 = 15" using matchsticks?

NA

<image>What is the total surface area of the purple cube in the image?

NA

<image>In the given figure, triangle $ \triangle AOB $ is inscribed in a circle with center $ O $. If $ \angle AOB = 120^\circ $ and $ AB = 6 $, find the length of $ AC $ where $ C $ is the midpoint of $ AB $.

NA

<image>The flowchart in the image describes an algorithm that calculates a value of `i` based on the input `n`. The algorithm starts with `S=0` and `i=1`, then iteratively updates `S` by adding `2*S + i` and increments `i` by 1 until `S` is greater than or equal to `n`. What is the value of `i` when the algorithm terminates for an input `n = 100`?

NA

<image>Find the value of $ k $ such that the integral $\int_{0}^{1}(x-k)dx = \frac{3}{2}$.

NA

<image>What is the value of T when the loop in the flowchart terminates?

NA

<image>In the given figure, triangle ABC is isosceles with AB = AC. Point E lies on side AB, and point D lies on side AC such that BE = CD. If angle AEB is 70 degrees, what is the measure of angle BCD?

NA

<image>What word is formed when you rotate the letters in the given text 90 degrees clockwise?

NA

<image>What is the significance of the water droplets in the image, and how might they relate to the concept of time or change?

NA

<image>What is the value of n when the loop in the flowchart terminates?

NA

<image>What is the value of S after the loop ends when the initial conditions are set as S=1 and i=1, and the loop continues until i is no longer less than 4?

NA

<image>What is the final value of $s$ after the loop in the given flowchart?

NA

<image>What is the sum of the numbers represented by the shapes in the image?

NA

<image>In the given figure, $ABCD$ is a rectangle with $AB = 18$. Point $C$ is the center of a semicircle with diameter $AE$, where $E$ lies on the extension of $BC$. The angle $\angle DFE = 60^\circ$. If $DE = 24$, find the length of $EF$.

NA

<image>What common theme or concept does the sequence of symbols in the image represent?

NA

<image>What is the smallest value of $a$ for which the algorithm in the flowchart will terminate?

NA

<image>What safety measures should be taken when riding a bicycle as depicted in the image?

NA

<image>In the given figure, rectangle $ABCD$ has a side length of 96 units. A square $EFGH$ is inscribed in the rectangle such that one of its sides lies along $AD$. The diagonal $EF$ intersects the diagonal $AC$ at point $I$. If the area of the circle inscribed in square $EFGH$ is equal to the area of triangle $AIE$, find the side length of the square $EFGH$.

NA

<image>What is the value of x and k when the loop terminates in the given flowchart?

NA

<image>What is the value of S after the loop completes when k = 5?

NA

<image>What volume of liquid was transferred from the first container to the second container in the image?

NA

<image>What is the value of $ n $ when the loop in the flowchart ends?

NA

<image>What is the average speed of the vehicle represented by the line segment AB in the graph?

NA

<image>Given the equation $\sin \alpha = \frac{1}{2}$, find all possible values of $\alpha$ in the interval $[0^\circ, 360^\circ]$.

NA

<image>What is the distance between point A and point A' on the number line?

NA

<image>In the given figure, $ABCD$ is a rectangle with $AB = 11$. A circle is inscribed in the rectangle, touching all four sides. Point $E$ lies on side $DE$ such that $DE = 20$. The circle also touches $DE$ at point $F$, and line segment $EF$ intersects the circle again at point $G$. If $EG = 8$, find the length of $DG$.

NA

<image>What is the value of `b` when the loop terminates in the given flowchart?

NA

<image>What geometric shapes are present in the image, and how do their sizes compare?

NA

<image>What is the value of S after the loop in the flowchart has executed four times?

NA