instruction_seed stringlengths 16 8.26k | source stringclasses 4
values | id int64 0 50k |
|---|---|---|
A train passes a station platform in 36 seconds and a man standing on the platform in 21 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 225 (B) 240 (C) 288 (D) 267 (E) 211 | tiger_lab_math | 0 |
A train passes a station platform in 36 seconds and a man standing on the platform in 21 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 225 (B) 240 (C) 288 (D) 267 (E) 211 | tiger_lab_math | 0 |
A train passes a station platform in 36 seconds and a man standing on the platform in 21 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 225 (B) 240 (C) 288 (D) 267 (E) 211 | tiger_lab_math | 0 |
What is the topological space formed by the product of the two topological spaces \( \mathbb{R}^2 \) and the discrete space \( \{1, 2\} \), and how can we describe its open sets? | automath | 1 |
What is the topological space formed by the product of the two topological spaces \( \mathbb{R}^2 \) and the discrete space \( \{1, 2\} \), and how can we describe its open sets? | automath | 1 |
What is the topological space formed by the product of the two topological spaces \( \mathbb{R}^2 \) and the discrete space \( \{1, 2\} \), and how can we describe its open sets? | automath | 1 |
Given $wz = 4$, determine the value of $(w + z)^2 - (w^2 + z^2)$. | nvidia_math | 2 |
Given $wz = 4$, determine the value of $(w + z)^2 - (w^2 + z^2)$. | nvidia_math | 2 |
Given $wz = 4$, determine the value of $(w + z)^2 - (w^2 + z^2)$. | nvidia_math | 2 |
Dr. Brown is driving through different towns on his tour and each town's speed limit is controlled by a unique mathematical function. The function $g(t)$ represents the speed limit (in miles per hour) on day $t$ of Dr. Brown’s journey as he enters each town. It is known that $g(t)$ satisfies the equation:
\[
g(t + k) ... | tiger_math | 3 |
Dr. Brown is driving through different towns on his tour and each town's speed limit is controlled by a unique mathematical function. The function $g(t)$ represents the speed limit (in miles per hour) on day $t$ of Dr. Brown’s journey as he enters each town. It is known that $g(t)$ satisfies the equation:
\[
g(t + k) ... | tiger_math | 3 |
Dr. Brown is driving through different towns on his tour and each town's speed limit is controlled by a unique mathematical function. The function $g(t)$ represents the speed limit (in miles per hour) on day $t$ of Dr. Brown’s journey as he enters each town. It is known that $g(t)$ satisfies the equation:
\[
g(t + k) ... | tiger_math | 3 |
A community is building a metal fence. Each fence panel is made of 3 metal sheets, and 2 metal beams. The fence is made of 10 fence panels. If each sheet is made of 10 metal rods and each metal beam is made of 4 metal rods, how many metal rods does the community need for the fence? Let's write a Python program to solve... | tiger_lab_math | 4 |
A community is building a metal fence. Each fence panel is made of 3 metal sheets, and 2 metal beams. The fence is made of 10 fence panels. If each sheet is made of 10 metal rods and each metal beam is made of 4 metal rods, how many metal rods does the community need for the fence? Let's write a Python program to solve... | tiger_lab_math | 4 |
A community is building a metal fence. Each fence panel is made of 3 metal sheets, and 2 metal beams. The fence is made of 10 fence panels. If each sheet is made of 10 metal rods and each metal beam is made of 4 metal rods, how many metal rods does the community need for the fence? Let's write a Python program to solve... | tiger_lab_math | 4 |
How many positive two-digit integers are multiples of 5 and of 7? Let's write a Python program. | tiger_lab_math | 5 |
How many positive two-digit integers are multiples of 5 and of 7? Let's write a Python program. | tiger_lab_math | 5 |
How many positive two-digit integers are multiples of 5 and of 7? Let's write a Python program. | tiger_lab_math | 5 |
Thomas is making hummus. One of the ingredients in a hummus recipe is chickpeas. For one serving of hummus, the recipe calls for 1 cup of chickpeas. In a can of chickpeas, there are some ounces of chickpeas. In one cup of chickpeas, there are 6 ounces. To make 20 servings, Thomas should buy 8 cans of chickpeas. How man... | tiger_math | 6 |
Thomas is making hummus. One of the ingredients in a hummus recipe is chickpeas. For one serving of hummus, the recipe calls for 1 cup of chickpeas. In a can of chickpeas, there are some ounces of chickpeas. In one cup of chickpeas, there are 6 ounces. To make 20 servings, Thomas should buy 8 cans of chickpeas. How man... | tiger_math | 6 |
Thomas is making hummus. One of the ingredients in a hummus recipe is chickpeas. For one serving of hummus, the recipe calls for 1 cup of chickpeas. In a can of chickpeas, there are some ounces of chickpeas. In one cup of chickpeas, there are 6 ounces. To make 20 servings, Thomas should buy 8 cans of chickpeas. How man... | tiger_math | 6 |
Find $y$ so that the vectors $\begin{pmatrix} 1 \\ -3 \\ -4 \end{pmatrix}$ and $\begin{pmatrix} -2 \\ y \\ -1 \end{pmatrix}$ are orthogonal. | tiger_math | 7 |
Find $y$ so that the vectors $\begin{pmatrix} 1 \\ -3 \\ -4 \end{pmatrix}$ and $\begin{pmatrix} -2 \\ y \\ -1 \end{pmatrix}$ are orthogonal. | tiger_math | 7 |
Find $y$ so that the vectors $\begin{pmatrix} 1 \\ -3 \\ -4 \end{pmatrix}$ and $\begin{pmatrix} -2 \\ y \\ -1 \end{pmatrix}$ are orthogonal. | tiger_math | 7 |
A train running at the speed of 30 km/hr crosses a pole in 9 seconds. What is the length of the train in meters? | tiger_math | 8 |
A train running at the speed of 30 km/hr crosses a pole in 9 seconds. What is the length of the train in meters? | tiger_math | 8 |
A train running at the speed of 30 km/hr crosses a pole in 9 seconds. What is the length of the train in meters? | tiger_math | 8 |
Find all values of $x$ that satisfy \[\frac{x^2}{x-2} \ge \frac{3}{x+2} + \frac{7}{5}.\] | nvidia_math | 9 |
Find all values of $x$ that satisfy \[\frac{x^2}{x-2} \ge \frac{3}{x+2} + \frac{7}{5}.\] | nvidia_math | 9 |
Find all values of $x$ that satisfy \[\frac{x^2}{x-2} \ge \frac{3}{x+2} + \frac{7}{5}.\] | nvidia_math | 9 |
Tommy has 3 toy cars. His neighbor, Jessie, has 3 cars too. Jessie's older brother has 5 more cars than Tommy and Jessie. How many cars do the three of them have altogether? | tiger_lab_math | 10 |
Tommy has 3 toy cars. His neighbor, Jessie, has 3 cars too. Jessie's older brother has 5 more cars than Tommy and Jessie. How many cars do the three of them have altogether? | tiger_lab_math | 10 |
Tommy has 3 toy cars. His neighbor, Jessie, has 3 cars too. Jessie's older brother has 5 more cars than Tommy and Jessie. How many cars do the three of them have altogether? | tiger_lab_math | 10 |
Stan weighs 5 more pounds than Steve. Steve is eight pounds lighter than Jim. If Jim weighs 110 pounds and the three of them crowd onto a scale at the same time, what is their total weight? | tiger_lab_math | 11 |
Stan weighs 5 more pounds than Steve. Steve is eight pounds lighter than Jim. If Jim weighs 110 pounds and the three of them crowd onto a scale at the same time, what is their total weight? | tiger_lab_math | 11 |
Stan weighs 5 more pounds than Steve. Steve is eight pounds lighter than Jim. If Jim weighs 110 pounds and the three of them crowd onto a scale at the same time, what is their total weight? | tiger_lab_math | 11 |
The sum of two numbers is 16, and the product of the numbers is 28. What is the sum of their squares? | tiger_math | 12 |
The sum of two numbers is 16, and the product of the numbers is 28. What is the sum of their squares? | tiger_math | 12 |
The sum of two numbers is 16, and the product of the numbers is 28. What is the sum of their squares? | tiger_math | 12 |
Roberta started off with 8 vinyl records. Her friends gave her x records for her birthday and she bought 30 more at a garage sale. It takes her 2 days to listen to 1 record. It will take her 100 days to listen to her record collection. What is the value of unknown variable x? | tiger_math | 13 |
Roberta started off with 8 vinyl records. Her friends gave her x records for her birthday and she bought 30 more at a garage sale. It takes her 2 days to listen to 1 record. It will take her 100 days to listen to her record collection. What is the value of unknown variable x? | tiger_math | 13 |
Roberta started off with 8 vinyl records. Her friends gave her x records for her birthday and she bought 30 more at a garage sale. It takes her 2 days to listen to 1 record. It will take her 100 days to listen to her record collection. What is the value of unknown variable x? | tiger_math | 13 |
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Answer Choices: (A) 24/455 (B) 3/91 (C) 12/455 (D) 15/91 (E) None of these Let's write a program. | tiger_lab_math | 14 |
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Answer Choices: (A) 24/455 (B) 3/91 (C) 12/455 (D) 15/91 (E) None of these Let's write a program. | tiger_lab_math | 14 |
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Answer Choices: (A) 24/455 (B) 3/91 (C) 12/455 (D) 15/91 (E) None of these Let's write a program. | tiger_lab_math | 14 |
A survey of 800 students revealed that 35% of them like both playing basketball and watching movies, while 12% like playing basketball but not watching movies. What percentage of the students like watching movies but not playing basketball? | nvidia_math | 15 |
A survey of 800 students revealed that 35% of them like both playing basketball and watching movies, while 12% like playing basketball but not watching movies. What percentage of the students like watching movies but not playing basketball? | nvidia_math | 15 |
A survey of 800 students revealed that 35% of them like both playing basketball and watching movies, while 12% like playing basketball but not watching movies. What percentage of the students like watching movies but not playing basketball? | nvidia_math | 15 |
What are all the integer solutions \( x \) to the congruence equation \( x^{12} \equiv 87 \mod{101} \)? | automath | 16 |
What are all the integer solutions \( x \) to the congruence equation \( x^{12} \equiv 87 \mod{101} \)? | automath | 16 |
What are all the integer solutions \( x \) to the congruence equation \( x^{12} \equiv 87 \mod{101} \)? | automath | 16 |
If Mrs. Petersons purchased 10 tumblers for $45 each and paid with five $100 bills, what amount of change will she receive? | tiger_math | 17 |
If Mrs. Petersons purchased 10 tumblers for $45 each and paid with five $100 bills, what amount of change will she receive? | tiger_math | 17 |
If Mrs. Petersons purchased 10 tumblers for $45 each and paid with five $100 bills, what amount of change will she receive? | tiger_math | 17 |
Consider the differential equation y'' + 4y = 0, where y(x) is a complex-valued function of x. If y(0) = 1 and y'(0) = i, find the complex-valued function y(x). | tiger_lab_math | 18 |
Consider the differential equation y'' + 4y = 0, where y(x) is a complex-valued function of x. If y(0) = 1 and y'(0) = i, find the complex-valued function y(x). | tiger_lab_math | 18 |
Consider the differential equation y'' + 4y = 0, where y(x) is a complex-valued function of x. If y(0) = 1 and y'(0) = i, find the complex-valued function y(x). | tiger_lab_math | 18 |
Let $\triangle XOY$ be a right-angled triangle with $m\angle XOY = 90^{\circ}$. Let $M$ and $N$ be the midpoints of legs $OX$ and $OY$, respectively. Given that $XN=19$ and $YM=22$, find $XY$. | nvidia_math | 19 |
Let $\triangle XOY$ be a right-angled triangle with $m\angle XOY = 90^{\circ}$. Let $M$ and $N$ be the midpoints of legs $OX$ and $OY$, respectively. Given that $XN=19$ and $YM=22$, find $XY$. | nvidia_math | 19 |
Let $\triangle XOY$ be a right-angled triangle with $m\angle XOY = 90^{\circ}$. Let $M$ and $N$ be the midpoints of legs $OX$ and $OY$, respectively. Given that $XN=19$ and $YM=22$, find $XY$. | nvidia_math | 19 |
Since 1989, Lily has treated herself to 1 hydrangea plant, each year. Each plant costs a certain amount. By 2021, Lily has spent $640 on hydrangeas. How much does each hydrangea plant cost? | tiger_math | 20 |
Since 1989, Lily has treated herself to 1 hydrangea plant, each year. Each plant costs a certain amount. By 2021, Lily has spent $640 on hydrangeas. How much does each hydrangea plant cost? | tiger_math | 20 |
Since 1989, Lily has treated herself to 1 hydrangea plant, each year. Each plant costs a certain amount. By 2021, Lily has spent $640 on hydrangeas. How much does each hydrangea plant cost? | tiger_math | 20 |
A triangle has sides of lengths $12$, $16$, and $20$. Calculate the length of the longest altitude. | tiger_math | 21 |
A triangle has sides of lengths $12$, $16$, and $20$. Calculate the length of the longest altitude. | tiger_math | 21 |
A triangle has sides of lengths $12$, $16$, and $20$. Calculate the length of the longest altitude. | tiger_math | 21 |
If \( a \) and \( b \) are positive real numbers, and \( a^3 \times a^5 \times b^2 \) is simplified using the laws of exponents, what is the resulting expression? | automath | 22 |
If \( a \) and \( b \) are positive real numbers, and \( a^3 \times a^5 \times b^2 \) is simplified using the laws of exponents, what is the resulting expression? | automath | 22 |
If \( a \) and \( b \) are positive real numbers, and \( a^3 \times a^5 \times b^2 \) is simplified using the laws of exponents, what is the resulting expression? | automath | 22 |
Find the four fourth roots of the complex number \( z = 16 \left( \cos(120^\circ) + i \sin(120^\circ) \right) \). | automath | 23 |
Find the four fourth roots of the complex number \( z = 16 \left( \cos(120^\circ) + i \sin(120^\circ) \right) \). | automath | 23 |
Find the four fourth roots of the complex number \( z = 16 \left( \cos(120^\circ) + i \sin(120^\circ) \right) \). | automath | 23 |
What are the eigenvalues and eigenvectors of the covariance matrix computed from a set of 100 random points in a 2D space, where the points are generated as follows: for each point, the x-coordinate is a random number from a uniform distribution \( U[0, 10] \) and the y-coordinate is given by \( y = 2x + \epsilon \), w... | automath | 24 |
What are the eigenvalues and eigenvectors of the covariance matrix computed from a set of 100 random points in a 2D space, where the points are generated as follows: for each point, the x-coordinate is a random number from a uniform distribution \( U[0, 10] \) and the y-coordinate is given by \( y = 2x + \epsilon \), w... | automath | 24 |
What are the eigenvalues and eigenvectors of the covariance matrix computed from a set of 100 random points in a 2D space, where the points are generated as follows: for each point, the x-coordinate is a random number from a uniform distribution \( U[0, 10] \) and the y-coordinate is given by \( y = 2x + \epsilon \), w... | automath | 24 |
What was Colin's average time to run a mile if he completed his first mile in 6 minutes, his next two miles in 5 minutes each, and his fourth mile in 4 minutes? | tiger_math | 25 |
What was Colin's average time to run a mile if he completed his first mile in 6 minutes, his next two miles in 5 minutes each, and his fourth mile in 4 minutes? | tiger_math | 25 |
What was Colin's average time to run a mile if he completed his first mile in 6 minutes, his next two miles in 5 minutes each, and his fourth mile in 4 minutes? | tiger_math | 25 |
What is the total area, in square yards, of carpet needed to cover the floor of a rectangular room measuring 12 feet by 6 feet? | tiger_math | 26 |
What is the total area, in square yards, of carpet needed to cover the floor of a rectangular room measuring 12 feet by 6 feet? | tiger_math | 26 |
What is the total area, in square yards, of carpet needed to cover the floor of a rectangular room measuring 12 feet by 6 feet? | tiger_math | 26 |
A manufacturing company has to optimize their production process to minimize the cost of production. The production process includes three stages and each stage can be performed by any of the two machines available. The cost of each stage varies depending on the machine used. Use the ant colony optimization algorithm t... | tiger_lab_math | 27 |
A manufacturing company has to optimize their production process to minimize the cost of production. The production process includes three stages and each stage can be performed by any of the two machines available. The cost of each stage varies depending on the machine used. Use the ant colony optimization algorithm t... | tiger_lab_math | 27 |
A manufacturing company has to optimize their production process to minimize the cost of production. The production process includes three stages and each stage can be performed by any of the two machines available. The cost of each stage varies depending on the machine used. Use the ant colony optimization algorithm t... | tiger_lab_math | 27 |
The graph of the equation $y=x^2+ax+b$ passes through the points $(1,6)$ and $(2,13)$. What is the value of $a+b$? | nvidia_math | 28 |
The graph of the equation $y=x^2+ax+b$ passes through the points $(1,6)$ and $(2,13)$. What is the value of $a+b$? | nvidia_math | 28 |
The graph of the equation $y=x^2+ax+b$ passes through the points $(1,6)$ and $(2,13)$. What is the value of $a+b$? | nvidia_math | 28 |
What is the digit in the tens place of $47^{47}$? | tiger_math | 29 |
What is the digit in the tens place of $47^{47}$? | tiger_math | 29 |
What is the digit in the tens place of $47^{47}$? | tiger_math | 29 |
The inverse function of $f(x)=\frac{16}{5+3x}$ is given by $f^{-1}(x)=\frac{16}{3x}-\frac{5}{3}$.
If $g(x)=\frac{10}{x^2}$, determine the value of $\left[\frac{dg}{dx}\right]^2$ at $x=5$. | nvidia_math | 30 |
The inverse function of $f(x)=\frac{16}{5+3x}$ is given by $f^{-1}(x)=\frac{16}{3x}-\frac{5}{3}$.
If $g(x)=\frac{10}{x^2}$, determine the value of $\left[\frac{dg}{dx}\right]^2$ at $x=5$. | nvidia_math | 30 |
The inverse function of $f(x)=\frac{16}{5+3x}$ is given by $f^{-1}(x)=\frac{16}{3x}-\frac{5}{3}$.
If $g(x)=\frac{10}{x^2}$, determine the value of $\left[\frac{dg}{dx}\right]^2$ at $x=5$. | nvidia_math | 30 |
A man pointing to a photo says "The lady in the photograph is my nephew’s maternal grandmother". How is the lady in the photograph related to the man’s sister who has no other sister ?
Answer Choices: (A) Cousin (B) Sister-in-law (C) Mother (D) Mother-in-law (E) None of these | tiger_lab_math | 31 |
A man pointing to a photo says "The lady in the photograph is my nephew’s maternal grandmother". How is the lady in the photograph related to the man’s sister who has no other sister ?
Answer Choices: (A) Cousin (B) Sister-in-law (C) Mother (D) Mother-in-law (E) None of these | tiger_lab_math | 31 |
A man pointing to a photo says "The lady in the photograph is my nephew’s maternal grandmother". How is the lady in the photograph related to the man’s sister who has no other sister ?
Answer Choices: (A) Cousin (B) Sister-in-law (C) Mother (D) Mother-in-law (E) None of these | tiger_lab_math | 31 |
What is the volume of the region bounded by the planes \( x - z = 0 \), \( x + z = 3 \), \( y + z = 1 \), \( z = y + 1 \), and \( z = 0 \)? | automath | 32 |
What is the volume of the region bounded by the planes \( x - z = 0 \), \( x + z = 3 \), \( y + z = 1 \), \( z = y + 1 \), and \( z = 0 \)? | automath | 32 |
What is the volume of the region bounded by the planes \( x - z = 0 \), \( x + z = 3 \), \( y + z = 1 \), \( z = y + 1 \), and \( z = 0 \)? | automath | 32 |
two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 30 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ? Let's program in Python in the response. | tiger_lab_math | 33 |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 9