id stringlengths 12 32 | dataset stringclasses 6
values | messages listlengths 2 2 |
|---|---|---|
TIGER-Lab/MathInstruct_16527 | TIGER-Lab/MathInstruct | [
{
"content": "A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?\nAnswer Choices: (A) 87 cm2 (B) 30 cm2 (C) 76 cm2 (D) 26 cm2 (E) 98 cm2",
"role": "user"
},
{
"content": "Let's thi... |
allenai/sciq_1898 | allenai/sciq | [
{
"content": "What kind of reactions between an acid and a base yield a salt and water?\n(A) neutralization\n(B) distillation\n(C) oxidation\n(D) evaporation\n### Answer: A",
"role": "user"
},
{
"content": "Neutralization reactions between an acid and a base yield a salt and water. In some cases, th... |
facebook/natural_reasoning_2557 | facebook/natural_reasoning | [
{
"content": "A fluid mechanics problem involves determining the shear stress in a flow between two concentric cylinders. Given that the velocity distribution is related to the natural logarithm of the radial distance from the center, and considering the ratio of the inner to the outer cylinder radius (a/b = 0.... |
TIGER-Lab/MathInstruct_3347 | TIGER-Lab/MathInstruct | [
{
"content": "Consider a two-dimensional image with pixel values given by the function u(x,y), where x and y denote the pixel coordinates. Suppose that u satisfies the following partial differential equation: \n\n∂u/∂t + 5∂u/∂x - 3∂u/∂y = 0\n\nwith initial condition u(x,y,0) = 2x^2 - 3xy + 4y^2.\n\nDetermine th... |
tulu3_code_3078 | tulu3_code | [
{
"content": "Write a python function to process a list of historical events and return a new list containing only the events that occurred before a given year. As a descendant of an obscure historical figure, I have personal insights into a particular event and would like to focus on earlier events for my rese... |
facebook/natural_reasoning_9022 | facebook/natural_reasoning | [
{
"content": "What are the essential topological concepts required to study differential geometry for physics, specifically for solitons and instantons? Provide a detailed explanation of the application of algebraic topology to the classification of bundles on manifolds, and discuss the relevance of characteris... |
facebook/natural_reasoning_2926 | facebook/natural_reasoning | [
{
"content": "A projectile is fired from the origin down an inclined plane that makes an angle b with the horizontal. The angle of elevation of the gun and the initial speed of the projectile are a and V, respectively. Show that the angle of elevation a that will maximize the downhill range is the angle halfway... |
allenai/sciq_244 | allenai/sciq | [
{
"content": "Many plants generate root pressure during which phase?\n(A) growing season\n(B) end of life cycle\n(C) flowering season\n(D) developing season\n### Answer: A",
"role": "user"
},
{
"content": "\n\n### Answer:A",
"role": "assistant"
}
] |
facebook/natural_reasoning_9961 | facebook/natural_reasoning | [
{
"content": "Given the scenario where salt is used to firm the snow around jumps on warm slushy days at a ski slope, explain the physical principles behind why throwing down an even layer of salt causes the snow to become firm and icy on its top layer. Ensure your answer includes a discussion on the role of th... |
allenai/sciq_2489 | allenai/sciq | [
{
"content": "What is the largest organelle in a eukaryotic cell?\n(A) nucleus\n(B) ribosome\n(C) mitochondria\n(D) vacuole\n### Answer: A",
"role": "user"
},
{
"content": "The nucleus is the largest organelle in a eukaryotic cell. It contains most of the cell’s DNA. DNA, in turn, contains the genet... |
TIGER-Lab/MathInstruct_7101 | TIGER-Lab/MathInstruct | [
{
"content": "The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?\nAnswer Choices: (A) 18 2/18% (B) 18 2/11% (C) 18 2/31% (D) 18 4/11% (E) 16 2/11%",
"role": "user"
},
{
"content": "Let's think about the multi-choice question.\n13 CP = 11 SP\n11 --- 2... |
TIGER-Lab/MathInstruct_16404 | TIGER-Lab/MathInstruct | [
{
"content": "What is the Maslov index of a closed path in the symplectic vector space R^4 if it is represented by the parameterized curve $\\gamma(t) = (t, t^2, 1-t, 1-t^2)$ for $t\\in[0,1]$?",
"role": "user"
},
{
"content": "To compute the Maslov index of a closed path in the symplectic vector spa... |
facebook/natural_reasoning_5284 | facebook/natural_reasoning | [
{
"content": "Consider a scenario where a student is struggling with a math homework assignment, with 10 problems per week, each taking around 2 hours to complete. The student is considering searching for answers online due to time constraints. Discuss the moral and pedagogical implications of this approach, an... |
TIGER-Lab/MathInstruct_15643 | TIGER-Lab/MathInstruct | [
{
"content": "Okay, here's a numerical problem using the Fourier transform:\n\nA signal x(t) has a Fourier transform X(jw) = (2jw)/(jw+4). Use the Fourier transform to determine the response of a system with impulse response h(t) = 2e^(-2t) to x(t).\n\nWhat is the output signal y(t) = h(t) * x(t)?",
"role":... |
TIGER-Lab/MathInstruct_19969 | TIGER-Lab/MathInstruct | [
{
"content": "The epic poem currently contains 24 lines. If a person adds 3 lines to the poem every month, in how many months will the poem contain 90 lines?",
"role": "user"
},
{
"content": "If the epic poem currently contains 24 lines, and a person adds 3 lines to the poem every month, the total n... |
allenai/sciq_48 | allenai/sciq | [
{
"content": "What type of bonds contain atoms that possess either a partial positive or a partial negative charge?\n(A) polar bonds\n(B) hot bonds\n(C) ionic bonds\n(D) geologic bonds\n### Answer: A",
"role": "user"
},
{
"content": "Polar bonds contain atoms that possess either a partial positive o... |
tulu3_algebra_2409 | tulu3_algebra | [
{
"content": "In the fast-paced newsroom environment, the veteran editor often had to juggle multiple tasks simultaneously. Suppose the editor is tasked with reviewing articles from two different desks, A and B. The number of articles reviewed from desk A in one hour is represented by the polynomial \\( p(x) = ... |
facebook/natural_reasoning_9808 | facebook/natural_reasoning | [
{
"content": "Suppose you want to create a temperature-independent resistor by combining a carbon resistor and a Nichrome wire-wound resistor. The resistivity of the carbon resistor is 3~60*10^-5 Ωm, and the resistivity of the Nichrome resistor is 100*10^-8 Ωm. The temperature coefficients of the carbon and Nic... |
TIGER-Lab/MathInstruct_16855 | TIGER-Lab/MathInstruct | [
{
"content": "A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple?\nAnswer Choices: (A) 1/5 (B) 3/10 (C) 2/5 (D) 1/2 (E) 3/5",
"... |
allenai/sciq_616 | allenai/sciq | [
{
"content": "What is the collective travel of sheep known as?\n(A) herd\n(B) gaggle\n(C) den\n(D) load\n### Answer: A",
"role": "user"
},
{
"content": "Like many other animals, sheep travel in herds. The tendency is for each individual sheep to stay with the herd. However, a sheep may sometimes wan... |
tulu3_algebra_1800 | tulu3_algebra | [
{
"content": "An artist who values tradition decides to create a painting series based on classical geometric patterns. She plans to arrange her paintings in a gallery following a classical grid layout, where the length and width of the grid are determined by a quadratic relationship. \n\n1. The length of the g... |
TIGER-Lab/MathInstruct_8774 | TIGER-Lab/MathInstruct | [
{
"content": "Mia has $20 more than twice as much money Darwin has. If Darwin has $45, how much money does Mia have?",
"role": "user"
},
{
"content": "Twice the money of Darwin is 2 * $45 = $90.\nMia has $20 more than that, so she has $90 + $20 = $110.\nThe answer is 110",
"role": "assistant"
... |
facebook/natural_reasoning_3037 | facebook/natural_reasoning | [
{
"content": "Compare and contrast the concept of 'virtual particles' in path integral and perturbative approaches in quantum mechanics and quantum field theory. How do these concepts relate to each other, and what are the implications for understanding bound states like the hydrogen atom? Provide a detailed ex... |
tulu3_code_852 | tulu3_code | [
{
"content": "Write a python function to translate the mysterious and symbolic language of tarot into a more structured form. The function should take a list of tarot card names as input, and return a string where each card name is transformed into its corresponding number and suit. The traditional suits are Wa... |
allenai/sciq_1773 | allenai/sciq | [
{
"content": "Where is the only place an electric charge can be found?\n(A) ion\n(B) conductor\n(C) neuron\n(D) translator\n### Answer: B",
"role": "user"
},
{
"content": "Electric charge is found only in a conductor.\n\n### Answer:B",
"role": "assistant"
}
] |
TIGER-Lab/MathInstruct_10630 | TIGER-Lab/MathInstruct | [
{
"content": "Given the weighted graph G shown below with vertex set V = {A, B, C, D, E, F}, use Kruskal's algorithm to find the minimum spanning tree of G and calculate its total weight.\n\n```\n 4 2\n A ----- B ------- C\n | | |\n | 5 | 1 | 3... |
allenai/sciq_1808 | allenai/sciq | [
{
"content": "When naming this type of ion the ending of the element’s name is dropped and replaced with the – ide suffix?\n(A) amines\n(B) anions\n(C) oxides\n(D) cations\n### Answer: B",
"role": "user"
},
{
"content": "Naming anions is slightly different than naming cations. The ending of the elem... |
TIGER-Lab/MathInstruct_20365 | TIGER-Lab/MathInstruct | [
{
"content": "x varies inversely as square of y. Given that y=3 for x=1. The value of x for y = 4 will be equal to:\nAnswer Choices: (A) 3 (B) 6 (C) 1/9 (D) 1/3 (E) 9/16",
"role": "user"
},
{
"content": "Let's solve the multi-choice question step by step.\nSolution: Given x = k/y^2, where k is const... |
allenai/sciq_1051 | allenai/sciq | [
{
"content": "What type pf mining is used to obtain mineral ores that are near the surface?\n(A) multi-layered mining\n(B) surface mining\n(C) function mining\n(D) core mining\n### Answer: B",
"role": "user"
},
{
"content": "Surface mining is used to obtain mineral ores that are near the surface. Bl... |
facebook/natural_reasoning_10450 | facebook/natural_reasoning | [
{
"content": "How many integer solutions are there to $x_1 +x_2 + \\text{ ... }+x_5 =31 \\;\\; \\text{ with } \\; \\; x_i \\geq i, \\;\\; i=1,2,3,4,5$? Use the stars and bars method to solve this problem.",
"role": "user"
},
{
"content": "## Step 1: Understand the given problem and constraints\nThe ... |
facebook/natural_reasoning_2115 | facebook/natural_reasoning | [
{
"content": "Calculate the amount of energy going over the Niagara Falls in 1 second, given the dimensions of the falls: height = 167ft, deepest depth = 41ft, fastest speed = 68mph, and 375,000gal per/sec. Use the potential energy formula and unit conversions to derive the correct answer.",
"role": "user"
... |
TIGER-Lab/MathInstruct_15847 | TIGER-Lab/MathInstruct | [
{
"content": "Mia is a student. In her final year, she spent 1/5 of her day watching TV and 1/4 of the time left on studying. How many minutes did she spend studying each day?",
"role": "user"
},
{
"content": "Since there are 24 hours in a day, the fraction of time Mia spent watching TV is 1/5*24 = ... |
TIGER-Lab/MathInstruct_4917 | TIGER-Lab/MathInstruct | [
{
"content": "the maximum number of students among them 1345 pens and 775 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : ? Let's write a program.",
"role": "user"
},
{
"content": "import scipy\nn0 = 1345.0\nn1 = 775.0\n\nanswer... |
TIGER-Lab/MathInstruct_12602 | TIGER-Lab/MathInstruct | [
{
"content": "the speed at which a man can row a boat in still water is 14 kmph . if he rows downstream , where the speed of current is 2 kmph , what time will he take to cover 40 metres ? Let's write a program.",
"role": "user"
},
{
"content": "n0 = 14.0\nn1 = 2.0\nn2 = 40.0\nt0 = n0 + n1\nt1 = t0 ... |
tulu3_code_4103 | tulu3_code | [
{
"content": "Write a python function to filter a list of transactions based on a given threshold amount, which represents the minimum transaction amount for corporate social responsibility initiatives. The function should accept a list of transactions (each represented as a dictionary with keys 'id', 'amount',... |
tulu3_algebra_3011 | tulu3_algebra | [
{
"content": "Two lieutenants, both passionate about reform, are strategizing to implement changes in their regiment. They have decided to use their combined influence, represented by mathematical expressions, to push through two major reforms.\n\n1. The first lieutenant's influence can be modeled by the polyno... |
facebook/natural_reasoning_9421 | facebook/natural_reasoning | [
{
"content": "Consider the Earth's geothermal energy as a potential source for meeting global energy demands. Discuss the theoretical limits on geothermal energy extraction, considering the Earth's magnetic field generation, the rate of heat radiation, and the thermal diffusivity of the Earth's crust. How might... |
facebook/natural_reasoning_7661 | facebook/natural_reasoning | [
{
"content": "Let $V$ be an irreducible representation of a finite group $G$. Show that, up to scalars, there is a unique Hermitian inner product on $V$ preserved by $G$. You may use Schur's lemma in your proof. Be sure to clearly define all terms and explain each step of your reasoning.",
"role": "user"
... |
TIGER-Lab/MathInstruct_20230 | TIGER-Lab/MathInstruct | [
{
"content": "A graph has 7 vertices and 12 edges. Determine the minimum number of colors required to color each vertex such that no two adjacent vertices have the same color.",
"role": "user"
},
{
"content": "To determine the minimum number of colors required, we can use the concept of graph theory... |
TIGER-Lab/MathInstruct_1630 | TIGER-Lab/MathInstruct | [
{
"content": "two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train catches and completely passes the slower train in 54 seconds . what is the length of each train ( in meters ) ? Please write a program to solve it",
"role": "user"
}... |
TIGER-Lab/MathInstruct_5088 | TIGER-Lab/MathInstruct | [
{
"content": "if 5 / w + 5 / x = 5 / y and wx = y , then the average ( arithmetic mean ) of w and x is ? Let's write a program.",
"role": "user"
},
{
"content": "n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nt0 = n0 + n0\nanswer = n0 / t0\nprint(answer)",
"role": "assistant"
}
] |
allenai/sciq_1415 | allenai/sciq | [
{
"content": "What happens to volume as the temperature increases?\n(A) volume fluctuates\n(B) volume decreases\n(C) volume increases\n(D) volume is unchanged\n### Answer: C",
"role": "user"
},
{
"content": "The volume increases as the temperature increases. The result has three significant figures.... |
TIGER-Lab/MathInstruct_12167 | TIGER-Lab/MathInstruct | [
{
"content": "Five boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?\nAnswer Choices: (A) A) 4^30 (B) B) 2^30 (C) C) 1^30 (D) D) 3^30 (E) E) 5^30 Let's write a program.",
"role": "user"
},
{
"content": "answers = ['A', 'B', 'C', 'D', 'E']\nmangoes = 30\nbo... |
TIGER-Lab/MathInstruct_2562 | TIGER-Lab/MathInstruct | [
{
"content": "Consider a graph G with 8 vertices. Each vertex can be colored in one of four colors: red, blue, green, or yellow. What is the total number of ways to color the graph G such that no two adjacent vertices have the same color?",
"role": "user"
},
{
"content": "To solve this problem, we n... |
TIGER-Lab/MathInstruct_13038 | TIGER-Lab/MathInstruct | [
{
"content": "A teacher asked Adelaide, Ephraim, and Kolton to buy ducks and monitor their growth patterns and features for their science class. Adelaide bought twice the number of ducks that Ephraim bought, while Ephraim bought 45 fewer ducks than Kolton. If Adelaide bought 30 ducks, what's the average number ... |
TIGER-Lab/MathInstruct_6821 | TIGER-Lab/MathInstruct | [
{
"content": "Sam invested Rs. 8000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?\nAnswer Choices: (A) 3200.0 (B) 11520.0 (C) 8820.0 (D) 7354.0 (E) 16537.11",
"role": "user"
},
{
"content": "Let's think about ... |
Deepmind/code_contests_223 | Deepmind/code_contests | [
{
"content": "Let's write all the positive integer numbers one after another from 1 without any delimiters (i.e. as a single string). It will be the infinite sequence starting with 123456789101112131415161718192021222324252627282930313233343536...\n\nYour task is to print the k-th digit of this sequence.\n\nInp... |
Deepmind/code_contests_491 | Deepmind/code_contests | [
{
"content": "Niwango-kun, an employee of Dwango Co., Ltd., likes Niconico TV-chan, so he collected a lot of soft toys of her and spread them on the floor.\n\nNiwango-kun has N black rare soft toys of Niconico TV-chan and they are spread together with ordinary ones. He wanted these black rare soft toys to be cl... |
tulu3_algebra_988 | tulu3_algebra | [
{
"content": "As a stay-at-home dad, you are trying to manage your budget for household expenses, which includes allowances for your teenager. However, your teenager has been unruly, and you decide to introduce a new system where the allowance depends on their behavior. If they behave well, they get an extra am... |
TIGER-Lab/MathInstruct_21823 | TIGER-Lab/MathInstruct | [
{
"content": "in country z , 10 % of the people do not have a university diploma but have the job of their choice , and 15 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma... |
tulu3_code_2846 | tulu3_code | [
{
"content": "Write a python function to determine if a given string can be rearranged to form a palindrome. A palindrome is a word that reads the same backward as forward. The function should return True if it's possible and False otherwise.\n\nInput: A string consisting of lowercase alphabets.\n\nOutput: A bo... |
TIGER-Lab/MathInstruct_13587 | TIGER-Lab/MathInstruct | [
{
"content": "What is the total length of the Heighway Dragon Curve after 8 iterations, starting with a line segment that is 1 unit long?",
"role": "user"
},
{
"content": "The Heighway Dragon Curve is a fractal that is created by folding a strip of paper in half repeatedly and then unfolding it so t... |
TIGER-Lab/MathInstruct_5633 | TIGER-Lab/MathInstruct | [
{
"content": "John's Bank's saving amount is decreased 50% due to loan payment and current balance is Rs.50000. Find the actual balance before deduction?\nAnswer Choices: (A) 100000 (B) 8500 (C) 9000 (D) 9500 (E) 10000",
"role": "user"
},
{
"content": "Let's reason about the multi-choice question.\n... |
tulu3_algebra_3842 | tulu3_algebra | [
{
"content": "A local Cebuano shopper, excited about the opening of a new mall, decides to compare the prices of a popular electronic gadget between the two major malls in the city. At Mall A, the gadget is priced at PHP 12,000. Mall B offers a 15% discount on the original price, but adds a sales tax of 10% on ... |
TIGER-Lab/MathInstruct_19981 | TIGER-Lab/MathInstruct | [
{
"content": "GiGi took out a big bowl of mushrooms from the refrigerator. She cut each mushroom into 4 pieces. Her twins, Kenny and Karla sprinkled mushrooms on their pizzas and baked them in the oven. Kenny grabbed a handful and sprinkled 38 mushroom pieces on his pizza. Karla scooped them up with both ha... |
TIGER-Lab/MathInstruct_7402 | TIGER-Lab/MathInstruct | [
{
"content": "rates for having a manuscript typed at a certain typing service are $ 10 per page for the first time a page is typed and $ 5 per page each time a page is revised . if a certain manuscript has 100 pages , of which 30 were revised only once , 20 were revised twice , and the rest required no revision... |
tulu3_algebra_3105 | tulu3_algebra | [
{
"content": "An art historian specializing in Eastern European 20th-century art movements is curating an exhibition. The exhibition features two types of art pieces: paintings from the Russian avant-garde movement and sculptures from the Hungarian constructivist movement. The curator plans to display these art... |
tulu3_code_1035 | tulu3_code | [
{
"content": "Write a python function to calculate the total number of goals scored by Freiburg's football team across multiple matches based on a list of match results. Each match result is represented as a tuple where the first element is Freiburg's score and the second element is the opponent's score. The fu... |
tulu3_algebra_3820 | tulu3_algebra | [
{
"content": "A graduate student is analyzing the relationship between media coverage (M) in hours and its impact on public opinion score (P) about religion and politics, represented by the polynomial equation \\( P(M) = 4M^3 - 9M^2 + 6M - 2 \\). The student wants to find out:\n\n1. The critical points where th... |
TIGER-Lab/MathInstruct_21511 | TIGER-Lab/MathInstruct | [
{
"content": "If the price of a TV is first decreased by 20% and then increased by 55%, then the net change in the price will be :\nAnswer Choices: (A) 4% increase (B) 24% increase (C) 10% decrease (D) 6% increase (E) None of these",
"role": "user"
},
{
"content": "Let's solve the multi-choice quest... |
facebook/natural_reasoning_6155 | facebook/natural_reasoning | [
{
"content": "Given the fake proof: $$e^{i} = e^{i2\\pi/2\\pi} = (e^{2\\pi i})^{1/(2\\pi)} = 1^{1/(2\\pi )} = 1$$ Identify the flawed step in this proof and explain why it is incorrect, considering the properties of complex exponentiation and multivalued functions.",
"role": "user"
},
{
"content": "... |
tulu3_code_4145 | tulu3_code | [
{
"content": "Write a python function to analyze a list of social interaction data and identify the most influential individual based on the number of interactions they have initiated. Each interaction is represented as a tuple `(initiator, receiver)`, where both `initiator` and `receiver` are strings represent... |
facebook/natural_reasoning_157 | facebook/natural_reasoning | [
{
"content": "Let $f$ be a continuous function from $[a, b]$ to $[a, b]$. Prove that there exists a $\\xi \\in [a, b]$ such that $f(\\xi) = \\xi$. You may use the Intermediate Value Theorem or Brouwer's Fixed Point Theorem in your proof. Ensure your proof is rigorous and provides clear explanations for each ste... |
TIGER-Lab/MathInstruct_21640 | TIGER-Lab/MathInstruct | [
{
"content": "A circle has a radius of 5cm. What is the area of the sector if its central angle is 60 degrees?",
"role": "user"
},
{
"content": "To find the area of the sector, we can use the formula:\n\nArea of sector = (Central angle / 360) × π × r²\n\nwhere r is the radius of the circle, and the ... |
facebook/natural_reasoning_1575 | facebook/natural_reasoning | [
{
"content": "Discuss the application of Legendre functions in number theory, providing specific examples of how these functions are used to solve problems in this field. Be sure to include the definition of Legendre functions and at least one detailed example of their application, such as in enumerative combin... |
TIGER-Lab/MathInstruct_13315 | TIGER-Lab/MathInstruct | [
{
"content": "Tricia is a third of Amilia’s age and Amilia is a quarter of Yorick’s age. Yorick is twice Eugene’s age and Khloe is a third of Eugene’s age. Rupert is 10 years older than Khloe but 2 years younger than Vincent who is 22 years old. How old, in years, is Tricia?",
"role": "user"
},
{
"c... |
TIGER-Lab/MathInstruct_9539 | TIGER-Lab/MathInstruct | [
{
"content": "In a forest 10 rabbits were caught, tagged with electronic markers, then released. A month later, 10 rabbits were captured in the same forest. Of these 10 rabbits, it was found that 2 had been tagged with the electronic markers. If the percentage of tagged rabbits in the second sample approximates... |
TIGER-Lab/MathInstruct_1506 | TIGER-Lab/MathInstruct | [
{
"content": "Juan ran 80 miles at 10 miles per hour. Juan ran for _____ hours . Please respond by writing a program in Python.",
"role": "user"
},
{
"content": "Miles = 80\r\nHoursPerMiles = 10\r\nprint(Miles/HoursPerMiles)",
"role": "assistant"
}
] |
TIGER-Lab/MathInstruct_10178 | TIGER-Lab/MathInstruct | [
{
"content": "Sara is checking out two different stores to buy a computer. The first store offers a device for $950 with a 6% discount. The second sells the same computer for €920 with a 5% discount. What is the difference in price between the two stores? Let's write a Python program to solve it.",
"role": ... |
tulu3_code_4869 | tulu3_code | [
{
"content": "Write a python function to calculate the total time a devoted fan spends watching football matches in a week, given a list of match durations in hours. Each match duration is provided as a float representing the number of hours (e.g., 1.5 for 90 minutes).\n\nThe function should take a list of floa... |
facebook/natural_reasoning_5392 | facebook/natural_reasoning | [
{
"content": "A mass is attached to a pendulum of length L that is initially at an angle θ with respect to the vertical. The mass has an initial velocity V₀. Using the principle of conservation of energy, derive an expression for the minimum initial velocity V₀ required for the mass to go all the way down to it... |
TIGER-Lab/MathInstruct_19725 | TIGER-Lab/MathInstruct | [
{
"content": "A colony of bacteria starts with 2 members. Each hour, every bacterium in the colony splits into two. How many bacteria will be present after 6 hours?",
"role": "user"
},
{
"content": "After 6 hours, the number of bacteria in the colony will be 2^(6) = 64.",
"role": "assistant"
}... |
TIGER-Lab/MathInstruct_21154 | TIGER-Lab/MathInstruct | [
{
"content": "If x is an integer, then y(y – 1)(y – l) must be evenly divisible by three when l is any of the following values EXCEPT\nAnswer Choices: (A) -4 (B) -3 (C) -2 (D) 2 (E) 5",
"role": "user"
},
{
"content": "Let's think about the multi-choice question step by step.\nWe have the product of ... |
TIGER-Lab/MathInstruct_16424 | TIGER-Lab/MathInstruct | [
{
"content": "Boy sells a book for Rs. 800 he gets a loss of 20 %, To gain 10%, what should be the SP?\nAnswer Choices: (A) 1100 (B) 450 (C) 550 (D) 590 (E) 600",
"role": "user"
},
{
"content": "Let's reason about the multi-choice question.\nCost price = 800/80 x 100 = 1000\nTo gain 10% = 1000 x 10/... |
TIGER-Lab/MathInstruct_18491 | TIGER-Lab/MathInstruct | [
{
"content": "Two pipes A and B can separately fill a tank in 10 and 15 minutes respectively. A third pipe C can drain off 20 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?\nAnswer Choices: (A) 150 liters (B) 540 liters (C) 200 li... |
facebook/natural_reasoning_2271 | facebook/natural_reasoning | [
{
"content": "Given the 4-potential $A^\\mu(x)=(\\phi(x),\\mathbf{A}(x))$, and the vacuum Maxwell equations, show that in Coulomb gauge, the physical degree of freedom is $A^\\mu(x)= (0,\\mathbf{A}(x))$ with one constraint $\\nabla\\cdot \\mathbf{A}(x)=0$. Explain why fixing $\\Lambda(\\mathbf{x})$ further cann... |
facebook/natural_reasoning_3539 | facebook/natural_reasoning | [
{
"content": "Consider a comoving observer at constant spatial coordinates $(r^*, \\theta^*, \\phi^*)$ near a Schwarzschild black hole of mass $M$. The observer drops a beacon into the black hole along a radial trajectory. The beacon emits radiation at a constant wavelength $\\lambda_{\\text{em}}$ in its rest f... |
TIGER-Lab/MathInstruct_20886 | TIGER-Lab/MathInstruct | [
{
"content": "How many positive integers H less than 10,000 are such that the product of their digits is 210?\nAnswer Choices: (A) 24 (B) 30 (C) 48 (D) 54 (E) 72",
"role": "user"
},
{
"content": "210 is the answer when 2, 3, 5 and 7 are multiplied. 210 can also be arrive using 5,6 and 7 and 1, 5, 6 ... |
TIGER-Lab/MathInstruct_6471 | TIGER-Lab/MathInstruct | [
{
"content": " \"statement 1\": Alka bought 15 books for Rs, \"statement 2\" :Alka bought less than 75 books for Rs, \"options: \" Entailment or contradiction or neutral? Let's write a Python program.",
"role": "user"
},
{
"content": "books_bought_s1 = 15\nbooks_bought_s2 = 75\n\nif books_bought_s1 ... |
Deepmind/code_contests_457 | Deepmind/code_contests | [
{
"content": "You are given an H × W grid.\nThe squares in the grid are described by H strings, S_1,...,S_H.\nThe j-th character in the string S_i corresponds to the square at the i-th row from the top and j-th column from the left (1 \\leq i \\leq H,1 \\leq j \\leq W).\n`.` stands for an empty square, and `#` ... |
facebook/natural_reasoning_7673 | facebook/natural_reasoning | [
{
"content": "Consider a 2D irrotational flow with a velocity field given by $\\boldsymbol u = \\nabla \\times \\psi \\boldsymbol n$, where $\\psi$ is the stream function and $\\boldsymbol n$ is the unit vector perpendicular to the plane of motion. Show that the viscous term in the Navier-Stokes equations vanis... |
TIGER-Lab/MathInstruct_18481 | TIGER-Lab/MathInstruct | [
{
"content": "Consider the function f(z) = z^3 - 2z^2 + 5z - 6. Determine whether this function is an analytic function or not.",
"role": "user"
},
{
"content": "An analytic function is a function that is locally given by a convergent power series. In the context of complex analysis, a function is a... |
TIGER-Lab/MathInstruct_5512 | TIGER-Lab/MathInstruct | [
{
"content": "Three flats of the same type were advertised to be let in a housing complex. Three men made separate applications for a flat. What is the probability that each of them applied for the same house.\nAnswer Choices: (A) 1/4 (B) 1/5 (C) 1/6 (D) 1/3 (E) 1/9",
"role": "user"
},
{
"content": ... |
facebook/natural_reasoning_1048 | facebook/natural_reasoning | [
{
"content": "A Van Der Graaf generator is used to charge a sphere with a charge q1. The charged sphere is then placed near a neutral sphere, and the force exerted on the neutral sphere is measured. Using the method of images, derive an expression for the force exerted on the neutral sphere in terms of q1, the ... |
TIGER-Lab/MathInstruct_3471 | TIGER-Lab/MathInstruct | [
{
"content": "Mark is buying asphalt to pave a new section of road. The road will be 2000 feet long and 20 feet wide. Each truckload of asphalt will cover 800 square feet of road. If each truckload costs $75, and there's a 20% sales tax, how much will Mark need to pay for asphalt?",
"role": "user"
},
{
... |
TIGER-Lab/MathInstruct_2509 | TIGER-Lab/MathInstruct | [
{
"content": "Stella and Twinkle are filling up a truck with a capacity of 6000 stone blocks at the rate of 250 blocks per hour per person. They work for four hours and are then joined by 6 other people who also work at the same rate. How many hours did filling the truck take?",
"role": "user"
},
{
... |
facebook/natural_reasoning_5955 | facebook/natural_reasoning | [
{
"content": "Explain conceptually the quantity of work in mechanical physics, including its relationship with force and displacement. Provide mathematical expressions for both path-dependent and path-independent work scenarios, and discuss the role of potential energy in these contexts.",
"role": "user"
... |
facebook/natural_reasoning_1822 | facebook/natural_reasoning | [
{
"content": "Implement the velocity Verlet integration method for Smoothed Particle Hydrodynamics (SPH) fluids. Describe in detail how to compute the acceleration at step 3, considering the need for both particle position and velocity at time n+1. Provide a step-by-step solution, including any necessary equati... |
tulu3_code_1090 | tulu3_code | [
{
"content": "Write a python function to analyze the swimming patterns of fish from a dataset. The dataset is provided as a list of tuples, where each tuple contains two elements: a string representing the species of the fish and an integer representing the number of times the fish was observed swimming in a pa... |
TIGER-Lab/MathInstruct_6637 | TIGER-Lab/MathInstruct | [
{
"content": "Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the... |
facebook/natural_reasoning_2322 | facebook/natural_reasoning | [
{
"content": "Prove that the constant function f(x) = 0 is both an even and an odd function, and explain how this relates to the properties of hyperbolic functions like cosh(x) and sinh(x). Provide a step-by-step derivation of the even and odd parts of a given function f(x), and demonstrate how this decompositi... |
facebook/natural_reasoning_1132 | facebook/natural_reasoning | [
{
"content": "Given a bucket filled with water and a handful of sand, and the water is spun, what forces are at work causing the sand particles to congregate in the center of the bucket as the spinning slows down? Provide a detailed explanation of the pressure gradient, fluid flow, and friction involved in this... |
tulu3_algebra_2833 | tulu3_algebra | [
{
"content": "A health-conscious Czech gym instructor, Jana, is planning a new fitness class that focuses on strength training and cardiovascular health. As part of her preparation, she needs to figure out the ideal number of participants to optimize the space and equipment she has available.\n\n1. Jana estimat... |
tulu3_code_3365 | tulu3_code | [
{
"content": "Write a python function to calculate the total cost of packaging based on the dimensions of a package and a list of items. Each item has a length, width, height, and weight. The packaging cost is determined by the volume of the package and a fixed rate per unit volume. The function should take a l... |
TIGER-Lab/MathInstruct_10981 | TIGER-Lab/MathInstruct | [
{
"content": "a tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 3 cubic inches / min and the 2 outlet pipes empty it out at the rates of 12 cubic inches / min and 6 cubic inches / min respectively . if all 3 pipes are opened whe... |
facebook/natural_reasoning_429 | facebook/natural_reasoning | [
{
"content": "Show that the Cantor set, defined as the intersection of the sets $C_n$ obtained by iteratively removing the middle open half of the intervals, is closed, compact, and contains no isolated points. Provide a detailed proof of each property.",
"role": "user"
},
{
"content": "## Step 1: D... |
tulu3_algebra_1058 | tulu3_algebra | [
{
"content": "As a social justice advocate, you are analyzing the economic impact of proposed reforms aimed at reducing income inequality. You have two models for economic growth in a community based on different policy implementations.\n\n1. The first model predicts that the economic output will grow according... |
facebook/natural_reasoning_4747 | facebook/natural_reasoning | [
{
"content": "Describe how an associative unital algebra over a commutative ring $R$ can be viewed as a monoid object in the category of $R$-modules, using the tensor product as the monoidal structure. Ensure your answer includes the relevant commutative diagrams and explains how the bilinearity of the multipli... |
TIGER-Lab/MathInstruct_18066 | TIGER-Lab/MathInstruct | [
{
"content": "Marta is weighing fruit at the grocery store. The apples weigh four ounces each and the oranges weight 3 ounces. Each plastic bag in the grocery store can hold 49 ounces of fruit before it splits. If Martha wants to put an equal number of apples and oranges in each bag, and she wants to buy 3 full... |
tulu3_code_3335 | tulu3_code | [
{
"content": "Write a python function to determine whether a given list of integers contains any prime numbers. \n\nThe function should take a single list of integers as input and return a boolean value: `True` if there is at least one prime number in the list and `False` otherwise.\n\nInput:\n- A list of integ... |
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