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[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn Jacques Derrida's deconstruction, how does the undecidability of the signifier operate in Emily Dickinson's poem \"My Life had stood - a Loaded Gun -\", particularly in the lines ... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 3f9681505988789556c0b6939dcc381153bccb5fa2c22a0899f227f940cbb44a | 3f9681505988789556c0b6939dcc381153bccb5fa2c22a0899f227f940cbb44a |
[
{
"role": "user",
"content": "The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.\n\nYou are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 2 | 0a29d0174c54fd8ec3a661b97a74cf0b | c0d72f74558934fd9d22a511e796c604e2fef645a5bc65e961ce3403bc320c8b |
[
{
"role": "user",
"content": "Let \\( f : [0, 4] \\to [0, \\infty) \\) be such that \\( f(4) = 2 \\) and \\( f(x+y) \\geq f(x) + f(y) \\) for all real \\( x \\) and \\( y \\) in \\([0, 4]\\) such that \\( x + y \\leq 4 \\). Calculate the minimum possible value of \\( f(2) \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 8 | c8cf5ac6cbf767dba98f284db8c43cc2bff2da66d9ee478c9d96f1e8c50c05aa | c8cf5ac6cbf767dba98f284db8c43cc2bff2da66d9ee478c9d96f1e8c50c05aa |
[
{
"role": "user",
"content": "Given triangle \\(ABC\\) with \\(\\angle BAC = 60^\\circ\\), let \\(\\Omega\\) be the circumcircle of \\(ABC\\) and \\(H\\) be the orthocenter of \\(ABC\\). Let \\(S\\) be the midpoint of the arc \\(BC\\) of \\(\\Omega\\) that does not contain \\(A\\). Point \\(P\\) is chosen o... | math | nvidia/OpenMathReasoning | default | cot | 57 | f598ae72284a3280e5aca14e1e54fc364d1164753f4903a5283e6ac55434544c | f598ae72284a3280e5aca14e1e54fc364d1164753f4903a5283e6ac55434544c |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA 68-year-old man presents with fever, back pain, and a pulsatile abdominal mass. Blood cultures grow *Salmonella* spp., and imaging confirms an infected infrarenal abdominal aortic ... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 82bc71fb351fbab30d63afd690009b4e03cdebc626c3d1530e46b760879fe53e | 82bc71fb351fbab30d63afd690009b4e03cdebc626c3d1530e46b760879fe53e |
[
{
"role": "user",
"content": "Find all polynomials \\( p(x) \\) such that for all \\( x, y \\in \\mathbb{R} \\):\n\\[ 2yp(x+y) + (x-y)(p(x) + p(y)) \\geq 0 \\]"
}
] | math | nvidia/OpenMathReasoning | default | cot | 22 | 4003b2c63021f216417b457b2bd4af888829c9daa0af6c81bbfabbe06d73e575 | 4003b2c63021f216417b457b2bd4af888829c9daa0af6c81bbfabbe06d73e575 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhat is the primary factor determining the bulk plasmon frequency \\(\\omega_p\\) in a metal?\n\nA: The magnetic permeability of the material \nB: The relative permittivity of the s... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | fba736e089243611eb118c5f9d589c15c3f9f348c264da9a1b738e3163203f5b | fba736e089243611eb118c5f9d589c15c3f9f348c264da9a1b738e3163203f5b |
[
{
"role": "user",
"content": "Solve the equation $\\csc \\alpha = \\csc 2\\alpha + \\csc 3\\alpha$ where $\\alpha = 180^\\circ / 7$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 8 | 1fa2dd4f8b3a370eaecd6e5269f7900b825a174daf3b969bbd43a10ea34aa615 | 1fa2dd4f8b3a370eaecd6e5269f7900b825a174daf3b969bbd43a10ea34aa615 |
[
{
"role": "user",
"content": "There is a circular pond with a perimeter of K meters, and N houses around them.\n\nThe i-th house is built at a distance of A_i meters from the northmost point of the pond, measured clockwise around the pond.\n\nWhen traveling between these houses, you can only go around the p... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 3 | 3d1f639bf549305fe12a90539fa67ec4 | cc35f734ad04b6877886d398e9c08dfdd0376e2a6e6749a65ddf7fbf7af0234a |
[
{
"role": "user",
"content": "Consider the decimal presentation of an integer. Let's call a number d-magic if digit d appears in decimal presentation of the number on even positions and nowhere else.\n\nFor example, the numbers 1727374, 17, 1 are 7-magic but 77, 7, 123, 34, 71 are not 7-magic. On the other ... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 6 | 53451373bd569d41536cd279fc8a7875 | df85fde754a6298adce3481f01dae2019c7b4eec1ef91606906316f941087c02 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider the triple-alpha process in stellar nucleosynthesis, where three helium-4 nuclei (\\( ^4\\text{He} \\)) fuse to form carbon-12 (\\( ^{12}\\text{C} \\)) in the presence of a ... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | d52ec30d16b6b399c7f2c94d3e39ef7fdf02acaa919b8a39d4a1426c5b5374fa | d52ec30d16b6b399c7f2c94d3e39ef7fdf02acaa919b8a39d4a1426c5b5374fa |
[
{
"role": "user",
"content": "Example\nInput\n\n10 3\n3 7\n8 9\n2 5\n\n\nOutput\n\n23"
}
] | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 3 | 38b9bf4583214cfdc689175d6793b42f | 0838233e1434dfc8f9baafc38103ed972b1e210f8062c5bb25f75fc1dfdc7668 |
[
{
"role": "user",
"content": "How many $k$-almost primes are less than $3^k$? For example, $3^3 = 27$ is a $3$-almost prime, and there are four $3$-almost primes smaller than $27$, namely $\\{8, 12, 18, 20\\}$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 28 | 1628f8f9da0ff9d20c1f0920beda5fe46bb4156d586427536fe9e8ed72e8decb | 1628f8f9da0ff9d20c1f0920beda5fe46bb4156d586427536fe9e8ed72e8decb |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich mode of heat transfer can occur through a perfect vacuum?\n\nA: Conduction only \nB: Convection only \nC: Radiation only \nD: Conduction and convection \nE: Conduction and ... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 0a9a54a5e0b7097553dcdd7ca94d864074c2b22ad2d58f2cc5b1f589ae2807e7 | 0a9a54a5e0b7097553dcdd7ca94d864074c2b22ad2d58f2cc5b1f589ae2807e7 |
[
{
"role": "user",
"content": "Magnus decided to play a classic chess game. Though what he saw in his locker shocked him! His favourite chessboard got broken into 4 pieces, each of size n by n, n is always odd. And what's even worse, some squares were of wrong color. j-th square of the i-th row of k-th piece... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 8 | 98467218619ab1c73964796b45056437 | 1bef65f381838753a484810f505acd51bac28737819e6de900b34063ed464967 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nDuring simultaneous large-scale natural disasters in resource-limited regions, a rehabilitation team must prioritize patients for prosthetic/orthotic services amidst extreme scarcity... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 17a78e360e0d975d40d28c66eee1d42c9ac96085c888337d3e6883661b983400 | 17a78e360e0d975d40d28c66eee1d42c9ac96085c888337d3e6883661b983400 |
[
{
"role": "user",
"content": "BackGround\n\nIn the Demon's Plan, 108 demons who control the desire are competing in the programming contest day and night. The organizer, Patron, is trying to invite the demons to \"Rix-Magna\", a place where all the souls gather. Patron wants to send an invitation to a demon... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 3 | 3f9dda98f6498bcd3fdf31b400cfa3da | 742c80d611fda301590600c2e5625cfd9bde08070029950154419e635503ebd9 |
[
{
"role": "user",
"content": "As you have noticed, there are lovely girls in Arpa’s land.\n\nPeople in Arpa's land are numbered from 1 to n. Everyone has exactly one crush, i-th person's crush is person with the number crushi.\n\n<image>\n\nSomeday Arpa shouted Owf loudly from the top of the palace and a fu... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 4 | d9bf7c2b46842ded8fde7b00cf665b3f | 627b2e6ae659be9b541edfbf45f7533bc81eea8435424e5c66c5c67e85997eff |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA 58-year-old patient with seropositive rheumatoid arthritis is scheduled to initiate rituximab therapy. The patient has no history of viral hepatitis or tuberculosis but emigrated f... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 8c4381cf959c11668a5ebeb15cd21cba7293c6a4f803db92f806da86784a9cde | 8c4381cf959c11668a5ebeb15cd21cba7293c6a4f803db92f806da86784a9cde |
[
{
"role": "user",
"content": "Find all positive integers \\( x \\) such that \\( x = (S(x) + 9)^2 \\), where \\( S(x) \\) is the sum of the digits of \\( x \\) in its decimal representation."
}
] | math | nvidia/OpenMathReasoning | default | cot | 22 | 9d8eadbb055a7f4a293b1d980f25ed1e338677f14b548dfdeb0943398d983a41 | 9d8eadbb055a7f4a293b1d980f25ed1e338677f14b548dfdeb0943398d983a41 |
[
{
"role": "user",
"content": "In an isosceles triangle \\(ABC\\) with \\(\\angle ABC = \\angle ACB = 80^\\circ\\), point \\(P\\) is on \\(AB\\) such that \\(\\angle PCB = 70^\\circ\\), and point \\(Q\\) is on \\(AC\\) such that \\(\\angle QBC = 60^\\circ\\). Find \\(\\angle PQA\\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 28 | 6d2445bfb09d6360869157cca2dd00dbcd983abc96bb2f0ad61bea50dc9c56a9 | 6d2445bfb09d6360869157cca2dd00dbcd983abc96bb2f0ad61bea50dc9c56a9 |
[
{
"role": "user",
"content": "You are given a list of names. Your task is to find all the distinct names in the list and after that\nfind the frequency count of all these distinct names in the origninal list.\nWe are interested in the maximum value of the frequency. You have to print this maximum frequency.... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 3 | c3f65e3427086743262deb1b72997e80 | 58de362abb5648f4c457754feb2c0d3dadfd057e5fe2ce451b70996ef837469e |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn epistemology, the statement \"Water boils at 100°C at sea level\" is classified as a synthetic truth because its verification relies on empirical observation. According to Saul Kr... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | bab49020c9956942494e154a0e3fccceea0f4c2f2ba4782e4f85d75b989e25e2 | bab49020c9956942494e154a0e3fccceea0f4c2f2ba4782e4f85d75b989e25e2 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of U.S. labor history, which event demonstrated a successful application of industrial unionism by leveraging newly established federal protections, while also trigger... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | c62d58429a82365aaf68bb72fe3694609bde5e221e0e5f1dd782889425815656 | c62d58429a82365aaf68bb72fe3694609bde5e221e0e5f1dd782889425815656 |
[
{
"role": "user",
"content": "Let \\(f(n, b)\\) be a function that expresses a positive integer \\(n > 2\\) in base \\(b > 1\\) and then returns that expression as if it was written in base \\(n + 1\\). For example, \\(4 = 100_2\\) so \\(f(4, 2) = 100_5 = 25\\). We say a number \\(n\\) is optimal if \\(n\\)... | math | nvidia/OpenMathReasoning | default | cot | 26 | 69e82659989eefabdabfec7bd3135361a124ab1408e2149f152394dd57c812c1 | 69e82659989eefabdabfec7bd3135361a124ab1408e2149f152394dd57c812c1 |
[
{
"role": "user",
"content": "Ramu’s uncle has left him a stable in his Will. But the stable is not in a good condition. The roofs leak and need to be repaired.\n\nThere are a number of stalls in the stable. A stall may or may not contain a horse. Ramu has to buy new cement sheets to cover these stalls. He ... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 8 | c91b70c8fa5d6875976b11c200141900 | 5db9dab8e75e1d80468213e1b354a507d52672eff831276e55716ee0b242ba25 |
[
{
"role": "user",
"content": "You are given integer n. You have to arrange numbers from 1 to 2n, using each of them exactly once, on the circle, so that the following condition would be satisfied:\n\nFor every n consecutive numbers on the circle write their sum on the blackboard. Then any two of written on ... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 4 | ce5b7198b1c97ae3e963a9e1d33a48b8 | e9008abc3a3b3ee13523c236dc88e8386ee5b1861430eed6d2b76a6517511459 |
[
{
"role": "user",
"content": "I’m planning to have a party on my birthday. Many of my friends will come to the party. Some of them will come with one or more pieces of cakes, but it is not certain if the number of the cakes is a multiple of the number of people coming.\n\nI wish to enjoy the cakes equally a... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 3 | 4496bfeae5f1b3a6f463f9b5931e235f | c6bab20363352fbf0f49f893aee3a4fb823a2dd818b20defed3677c4d9e15b4c |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA comprehensive urban high school implements a dropout prevention program featuring: (1) need-based scholarship funds, (2) mandatory after-school tutoring for students below grade le... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | a88574cfa1136ba991e8b3927512531bbd1ec8a8378e3e4708ffe52a9d1b5ea1 | a88574cfa1136ba991e8b3927512531bbd1ec8a8378e3e4708ffe52a9d1b5ea1 |
[
{
"role": "user",
"content": "Find all solutions to the system of equations:\n\\[\n\\left\\{\\begin{matrix} \nx^{4}-6x^{2}y^{2}+y^{4}=1 \\\\ \n4x^{3}y-4xy^{3}=1 \n\\end{matrix}\\right.\n\\]"
}
] | math | nvidia/OpenMathReasoning | default | cot | 6 | 3984e0dd1d23f2a2338b10a4bf709daec2d23b65ed366f7557dfc8bbae9068ba | 3984e0dd1d23f2a2338b10a4bf709daec2d23b65ed366f7557dfc8bbae9068ba |
[
{
"role": "user",
"content": "Julius Cipher is a type of cipher which relates all the lowercase alphabets to their numerical position in the alphabet, i.e., value of a is 1, value of b is 2, value of z is 26 and similarly for the rest of them. \n\nLittle Chandan is obsessed with this Cipher and he keeps con... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 8 | 367fae61d146102ab221f69def09407d | d51c3c7216698f0dd5f955feecddf60b61c5b47b2b84600f8d6bd83d91fed1aa |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn integrating palliative care within skilled nursing facilities, a quality improvement initiative aims to address systemic barriers. According to evidence-based frameworks, which ba... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | ca9416b127110f119c39dfa50cfc151a6c8761d9f00409e42a1c7860e94d74a3 | ca9416b127110f119c39dfa50cfc151a6c8761d9f00409e42a1c7860e94d74a3 |
[
{
"role": "user",
"content": "Let \\( p \\) and \\( q \\) be prime numbers such that \\( n^{3pq} - n \\) is a multiple of \\( 3pq \\) for all positive integers \\( n \\). Find the least value of \\( p + q \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 28 | b12469811ed82386126b7262819e9c026ba4033e77e3d7d0176a8597b8960253 | b12469811ed82386126b7262819e9c026ba4033e77e3d7d0176a8597b8960253 |
[
{
"role": "user",
"content": "Tapan and Divya have a rectangular shaped chocolate bar with chocolates labeled T, D and U. They want to split the bar into exactly two pieces such that:\n\nTapan's piece can not contain any chocolate labeled D and similarly, Divya's piece can not contain any chocolate labeled ... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 6 | ad40e689166915c110abc013c1499ed0 | 9d00f2281ce28d9b4705bc5396f20d8d2ef14130cdfee7e914c29c34e59e84f6 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA homodimeric protein has a denaturation midpoint (\\(T_m\\)) of 65°C (338.15 K) at a total monomer concentration of 200 μM. The enthalpy change (\\(\\Delta H\\)) upon unfolding is 1... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 51347218343edd62a0070ebbb0df711b6b3fb5cfaee3136bff1813e260c9669a | 51347218343edd62a0070ebbb0df711b6b3fb5cfaee3136bff1813e260c9669a |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of epistemic autonomy, which approach to forming a belief about climate change best demonstrates an epistemically autonomous stance? \nA: Adopting a prominent scienti... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | c68a5d90bb641fc8726b1a1c0390909e22157129a51fece831dd7d48307850d7 | c68a5d90bb641fc8726b1a1c0390909e22157129a51fece831dd7d48307850d7 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nAt Çatalhöyük, a large Neolithic site in Turkey, archaeologists identified several rooms containing dense concentrations of bull horns (bucrania) embedded in platforms or walls, alon... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | aa0dab03832518f4fd0c14e5254a64c210e527b493befdf49f64a5c8b6edc9d3 | aa0dab03832518f4fd0c14e5254a64c210e527b493befdf49f64a5c8b6edc9d3 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider a multinational agribusiness optimizing eco-efficiency across diverse agricultural regions. Region A: Arid, high water scarcity (WSI = 0.8), relies on energy-intensive desal... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | bc487f858f3b45587cd52190775c0eccbfa32bb17ac4f31726e21c8562dfd70a | bc487f858f3b45587cd52190775c0eccbfa32bb17ac4f31726e21c8562dfd70a |
[
{
"role": "user",
"content": "From the divine land of heaven came to earth a fruit known as Magic fruit.Unfortunately the fruit was found by two friends X and Y.\nAfter lot of fighting,they came to the conclusion that they will share the fruit if and only if when they can divide it into two even weighing pa... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 7 | 00854987ee781804249b413554d74b8f | 53c3fc8e7db109531bad2b41f9994b1c93b6a4627cb1c6f8b8217a81fce04e23 |
[
{
"role": "user",
"content": "Problem:\n\nRani and Nandu decide to play a number game. Both play alternately, Rani playing the first move. \n\nIn each of their moves, they can subtract a maximum of k and a minimun of 1 from n ( ie.each of them must subtract from n, any natural number less than or equal to k... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 6 | 4d0205b6d64191b35e5e5de0841d0e9c | 03b4b36ab207e83b3eb654621efa73e0d48906bcd0687df36f1f4e4632c500a3 |
[
{
"role": "user",
"content": "Given a positive integer \\( k \\), find the condition on the positive integer \\( m \\) such that there exists exactly one positive integer \\( n \\) satisfying \\( n^m \\mid 5^{n^k} + 1 \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 8 | 4f7fada4e5917b108842bc271dc8329f5ee04d93173c7e9e41eed37ef2268a72 | 4f7fada4e5917b108842bc271dc8329f5ee04d93173c7e9e41eed37ef2268a72 |
[
{
"role": "user",
"content": "If \\( a_0 = \\frac{1}{2001} \\) and \\( a_{k+1} = a_k + \\frac{1}{n} a_k^2 \\) for \\( k = 0, 1, 2, \\ldots, n \\), find the greatest integer \\( n \\) such that \\( 2000a_n < 1 \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 22 | f12c3e69d7b22eb01a6032300190ebde15a659fb95c70bf27a879b5f8cb934ae | f12c3e69d7b22eb01a6032300190ebde15a659fb95c70bf27a879b5f8cb934ae |
[
{
"role": "user",
"content": "Given a triangle with angles $\\alpha$, $\\beta$, and $\\gamma$, if $\\tan (\\alpha) = \\frac{1}{\\tan (\\beta)}$, what is $\\tan \\left(\\frac{\\gamma}{3}\\right)$?"
}
] | math | nvidia/OpenMathReasoning | default | cot | 26 | fa559bccbb30d8037c4265c1b08f058dc073a1562e8cde7091d50fc85a134fcb | fa559bccbb30d8037c4265c1b08f058dc073a1562e8cde7091d50fc85a134fcb |
[
{
"role": "user",
"content": "Let \\(10\\) non-negative real numbers \\(a_i, b_i\\) for \\(i=1,2,3,4,5\\) satisfy the conditions:\n\\[ \\begin{cases}\na_i^2 + b_i^2 = 1 \\\\\na_1^2 + a_2^2 + a_3^2 + a_4^2 + a_5^2 = 1 \n\\end{cases}\n\\]\nFind the minimum value of \n\\[ P = \\frac{b_1 + b_2 + b_3 + b_4 + b_5... | math | nvidia/OpenMathReasoning | default | cot | 62 | a30e4f68f366ebfcf1d8c33b495aa8ebe53755a16de17627e483cee2dcd1cc0d | a30e4f68f366ebfcf1d8c33b495aa8ebe53755a16de17627e483cee2dcd1cc0d |
[
{
"role": "user",
"content": "You are given a permutation p_1, p_2, ... , p_n (an array where each integer from 1 to n appears exactly once). The weight of the i-th element of this permutation is a_i.\n\nAt first, you separate your permutation into two non-empty sets — prefix and suffix. More formally, the ... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 7 | da8123e1c2f5ed449bfd51fd35ae2199 | f6da626e946bbe33f25b3a82601fe7d045a54e36dd425000d0b5a021c1ce982b |
[
{
"role": "user",
"content": "Find the minimum positive integer \\( N = \\overline{a_1a_2 \\ldots a_k} \\) such that \\( 2009 \\times \\overline{a_4a_5 \\ldots a_k} = \\overline{a_1a_2 \\ldots a_k} \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 6 | 24a94f44e64fcda56c6c9fa0565702ed8ad8b177672be6e46cda520f6e93ac6f | 24a94f44e64fcda56c6c9fa0565702ed8ad8b177672be6e46cda520f6e93ac6f |
[
{
"role": "user",
"content": "Little Jhool was was the most intelligent kid of his school. But he did NOT like his class teacher, his school, and the way he was taught things in school. Well, he was a rebel, to say the least. Like most of us, he hated being punished by his teacher - specially, when the pun... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 3 | 7648bd12b7d4c4813de0f587396155b8 | d31f08b26970353a1dc6cfb43d0cc85d3883ef62dfb6f9932c75b78ace930736 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsidering N. Katherine Hayles's arguments in *How We Became Posthuman* regarding the impact of information technologies on conceptions of identity, which of the following statement... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 4e3e6c59424960c45e02ae3cee77b9b9ee958f5cd22ff14d1eb0c7ade504ada9 | 4e3e6c59424960c45e02ae3cee77b9b9ee958f5cd22ff14d1eb0c7ade504ada9 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider an economy initially at its long-run equilibrium. Suppose this economy implements a credible regime shift to strict inflation targeting, immediately eliminating all inflatio... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 5629cf8b413c62c045c970751b6ec8c23fe5764aba9ffd3738bfa6aaad61768e | 5629cf8b413c62c045c970751b6ec8c23fe5764aba9ffd3738bfa6aaad61768e |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a jurisdiction adhering strictly to the Frye Standard for admissibility of novel scientific evidence, which statement is true regarding psychiatric testimony based on a newly deve... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 1d3c1f91369d5565814ffee0a2bc7bbb617f6ce25b55105716e2b57e7ca4d8d5 | 1d3c1f91369d5565814ffee0a2bc7bbb617f6ce25b55105716e2b57e7ca4d8d5 |
[
{
"role": "user",
"content": "The only difference between easy and hard versions is a number of elements in the array.\n\nYou are given an array a consisting of n integers. The value of the i-th element of the array is a_i.\n\nYou are also given a set of m segments. The j-th segment is [l_j; r_j], where 1 ≤... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 7 | 74dd9d950e0a51d6d55932422437d69b | 315783a104f215308f3c780a01ba85fb1ab7549e2b935faea26f28ab3a9d3d14 |
[
{
"role": "user",
"content": "The only difference between problems C1 and C2 is that all values in\ninput of problem C1 are distinct (this condition may be false for problem C2).\n\nYou are given a sequence a consisting of n integers. All these integers are distinct, each value from 1 to n appears in the se... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 4 | 832120dcddd02a375a8d88dc3293f6cb | 0e58fccf0c8d721b2ee45b04da4c4f13c96f21102f607dd3470d608f6284d86f |
[
{
"role": "user",
"content": "The Little Elephant loves the LCM (least common multiple) operation of a non-empty set of positive integers. The result of the LCM operation of k positive integers x1, x2, ..., xk is the minimum positive integer that is divisible by each of numbers xi.\n\nLet's assume that ther... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 3 | dce8f5f35a658a96ac4c6b70a16aef1e | c834538245bcd939f73f043ccdeba6eabe8aba3b58411c459e43e8421de518dc |
[
{
"role": "user",
"content": "If $pq = -1$, find the minimum value of the area $S$ enclosed by the segments $OP$, $OQ$, and the parabola $C: y=1-x^2$, where $P(p, 1-p^2)$ and $Q(q, 1-q^2)$ are points on $C$ with $p < q$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 108 | 3276ff9f52a5d9ce13790daea72be674209e163c82b2e2c8d0c8fdde86dc5381 | 3276ff9f52a5d9ce13790daea72be674209e163c82b2e2c8d0c8fdde86dc5381 |
[
{
"role": "user",
"content": "Many modern text editors automatically check the spelling of the user's text. Some editors even suggest how to correct typos.\n\nIn this problem your task to implement a small functionality to correct two types of typos in a word. We will assume that three identical letters tog... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 0 | 61e958dda43b7847d284e3571808f497 | 3cea3682dc983175d2d162763158055aecf244f51f38b9c4035baf8bbcbc50af |
[
{
"role": "user",
"content": "Find the remainder when $3 \\cdot 5^{75} + 4 \\cdot 7^{100}$ is divided by $132$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 139 | 288ed4da820e9053d34daad4c9406171c960172d66d79a49e01211a7f990f095 | 288ed4da820e9053d34daad4c9406171c960172d66d79a49e01211a7f990f095 |
[
{
"role": "user",
"content": "\"It all started with a kiss.\"\n\nChotu was up all night, planning for his first kiss. He has collected the data about all the kissing spots in Allahabad.\nAccording to his survey there are N kissing spots in the city, each spot i is associated with a security value Si.\nChotu... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 1 | 139e5be2146a199b5db064c936763f5f | 0028d2a2c51dfe29b7558bac27def63d34535038ede1ba9fae6bd28cb8f4c17b |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich nanoscale bioseparation technique utilizes magnetic nanoparticles to isolate target biomolecules from complex mixtures?\n\nA: Size exclusion chromatography \nB: Ultracentrifug... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 48d5a8df5c7440478ad25f7cdca1bd0e5817f703fa7a239d1f157e01211681ad | 48d5a8df5c7440478ad25f7cdca1bd0e5817f703fa7a239d1f157e01211681ad |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA patient is mechanically ventilated following traumatic lung injury. The ICU team implements a comprehensive VAP prevention bundle. According to current evidence-based guidelines, w... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 4dc8f5d0644c3659f23d6ba477f3e9ac4b7a1a793cbc4c1d634b60462bb3daea | 4dc8f5d0644c3659f23d6ba477f3e9ac4b7a1a793cbc4c1d634b60462bb3daea |
[
{
"role": "user",
"content": "Find a*b, for all given number pairs\n\nSAMPLE\nINPUT\n5\n4 6\n3 7\n\nSAMPLE OUTPUT\n24\n21"
}
] | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 6 | 238d220e6a22512fbd39ab5385a8ad19 | e22407b33ae50677f67268a38f43cde1ce37468484641138c39ac36d7a6e8147 |
[
{
"role": "user",
"content": "You are given a list of names. Your task is to find all the distinct names in the list and after that\nfind the frequency count of all these distinct names in the origninal list.\nWe are interested in the maximum value of the frequency. You have to print this maximum frequency.... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 5 | c3f65e3427086743262deb1b72997e80 | 58de362abb5648f4c457754feb2c0d3dadfd057e5fe2ce451b70996ef837469e |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a synchronous CDMA system with spreading factor N=32, operating with negligible background noise and equal received power for all users, the signal-to-interference ratio (SIR) at ... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | a84c23ae993f722bcb3897467c101ddef3788bc6a749fe5ffbb374a7cd5766d3 | a84c23ae993f722bcb3897467c101ddef3788bc6a749fe5ffbb374a7cd5766d3 |
[
{
"role": "user",
"content": "Alice and Bob are playing a fun game of tree tag.\n\nThe game is played on a tree of n vertices numbered from 1 to n. Recall that a tree on n vertices is an undirected, connected graph with n-1 edges.\n\nInitially, Alice is located at vertex a, and Bob at vertex b. They take tu... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 5 | cb88761ce88665e1d4a4d8dc4aed2c66 | b5aa513e2a6690857934f5f8e53637b3448e0df96897773cc216b7a741eac308 |
[
{
"role": "user",
"content": "A university student, Takahashi, has to take N examinations and pass all of them. Currently, his readiness for the i-th examination is A_{i}, and according to his investigation, it is known that he needs readiness of at least B_{i} in order to pass the i-th examination.\n\nTaka... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 2 | a4171f7d991bc6f9b29e7f0b45df5a1a | 1de1efb23628f65f3251b092d9e171085b1f6939b22ef1acb94df216c1589294 |
[
{
"role": "user",
"content": "Find the number of ordered integer pairs $(\\alpha, \\beta)$ for which the quadratic form $k(x_1, x_2) = (\\beta^2 - 20)x_1^2 + \\alpha x_1x_2 - x_2^2$ is negative definite."
}
] | math | nvidia/OpenMathReasoning | default | cot | 108 | 3591ba18599131ded1b46793e3a02487ba0c0842ac5ea96c4f0ea2185bd65c38 | 3591ba18599131ded1b46793e3a02487ba0c0842ac5ea96c4f0ea2185bd65c38 |
[
{
"role": "user",
"content": "Little Janet likes playing with cubes. Actually, she likes to play with anything whatsoever, cubes or tesseracts, as long as they are multicolored. Each cube is described by two parameters — color ci and size si. A Zebra Tower is a tower that consists of cubes of exactly two co... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 7 | ff98064cd6e58389edd1e3658189bedf | 25de02b2c3966d084c8ade067012c76d4218ecb9edf9941e9b32877e18f45ed0 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nAn aircraft flies at Mach 2.0 at an altitude where the static pressure is 10 kPa. Using a pitot tube to measure total pressure, what is the approximate ratio of the measured total pr... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | cbc1eadb7b4b24727f99b29e157ea159d95a2871ff478aaeabfcd2b7479f490c | cbc1eadb7b4b24727f99b29e157ea159d95a2871ff478aaeabfcd2b7479f490c |
[
{
"role": "user",
"content": "Find the sum of \\[\\left[\\frac{1}{3}\\right]+\\left[\\frac{2}{3}\\right]+\\left[\\frac{2^2}{3}\\right]+\\cdots+\\left[\\frac{2^{2013}}{3}\\right],\\] where $[x]$ denotes the greatest integer less than or equal to $x$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 108 | 57220d2327b16802e20f1c485332c59708168112d0d6acfca65d53af8ab3f788 | 57220d2327b16802e20f1c485332c59708168112d0d6acfca65d53af8ab3f788 |
[
{
"role": "user",
"content": "Calculate the limit\n$$\\lim_{x\\rightarrow 0}\\int\\limits_{0}^{x}\\frac{\\cos t^3}{t+x}dt$$"
}
] | math | nvidia/OpenMathReasoning | default | cot | 6 | f329dd259f00c8cab8389b489e6303bd80ebc912461687030b77341a44639a62 | f329dd259f00c8cab8389b489e6303bd80ebc912461687030b77341a44639a62 |
[
{
"role": "user",
"content": "Background\n\nThe kindergarten attached to the University of Aizu is a kindergarten where children who love programming gather. Yu, one of the kindergarten children, loves treasure as much as programming. Yu will continue to explore the cave today in search of treasure. So Yu d... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 1 | 0dc26dbd1747fc7a737e63394ae19388 | 7e7c937a15543016c59089cd819dff06e297509ae985318819bed3c11a8772b0 |
[
{
"role": "user",
"content": "After getting bored of the monotonous routine of college, Chahak wants go back to the golden days of her life ‘Her Childhood’ when she used to enjoy playing games and one such game is \"Stapu\" (Hopscotch).\nChahak wants to play the game differently now. She plays the game on m... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 7 | 7a72241df03b2f5d85edbda3a2af9a02 | cd3a17baeed7930991e0787441c084f4091e81bd127c518fc7054ef44d990a68 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA family therapist observes a recurring pattern: Adolescent children explicitly avoid discussing their online activities with parents. Paradoxically, when parents discover these acti... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 95172775f5ef563f7c5a31d10e62fb8f0d5318cc5ebc9f15385402ba8950a9d9 | 95172775f5ef563f7c5a31d10e62fb8f0d5318cc5ebc9f15385402ba8950a9d9 |
[
{
"role": "user",
"content": "Consider an injective and continuous function $f: I \\subseteq \\mathbb{R} \\to \\mathbb{R}$. Let $I = [a, b]$ be a closed interval. If $f(a) = 1$ and $f(b) = 2$, calculate the number of possible values for $f\\left(\\frac{a+b}{2}\\right)$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 7 | d246b6bc6ad0ecec6aa9e0b91ca516cb1d863314e48e69219a54485260171638 | d246b6bc6ad0ecec6aa9e0b91ca516cb1d863314e48e69219a54485260171638 |
[
{
"role": "user",
"content": "Find all pairs of integers $(a,b)$ such that $2a^3+6ab^2$ is a perfect cube without using Fermat's Last Theorem."
}
] | math | nvidia/OpenMathReasoning | default | cot | 22 | c0102cf753b3035754c33a472e18f5597992a236f20a98e86f5533ef677b3b0f | c0102cf753b3035754c33a472e18f5597992a236f20a98e86f5533ef677b3b0f |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA patient with rheumatoid arthritis presents with multiple subcutaneous nodules on the soles of both feet. According to the clinical correlation of rheumatoid nodules with disease se... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | a95684e946605b46a7fe5864fc908e7abcce5f8bcf22cac56b718abb07369612 | a95684e946605b46a7fe5864fc908e7abcce5f8bcf22cac56b718abb07369612 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn Rudolf Otto's analysis of the numinous, the mysterium tremendum et fascinans is characterized by an irreducible paradox. The \"tremendum\" aspect induces dread, awe, and the sense... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 542d304aaa600c4a6092ce5a28758933a15c2f1c69492323de8fa78808bc9933 | 542d304aaa600c4a6092ce5a28758933a15c2f1c69492323de8fa78808bc9933 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following is a key implication of the first Hohenberg-Kohn theorem in Density Functional Theory?\n\nA: The ground state electron density minimizes the total energy funct... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | 0708827b97d8e307bc7df1515e7edc6b6219258c7065012f060ae8b24d6a669a | 0708827b97d8e307bc7df1515e7edc6b6219258c7065012f060ae8b24d6a669a |
[
{
"role": "user",
"content": "Mike received an array a of length n as a birthday present and decided to test how pretty it is.\n\nAn array would pass the i-th prettiness test if there is a way to get an array with a sum of elements totaling s_i, using some number (possibly zero) of slicing operations.\n\n<i... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 5 | 6faab8acf663a6374515fa40949b8198 | 9b87bac2168d50aaaaac736e5d1118033ce58c1b254105987841e5207f2b79f1 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the sociology of animals, which concept explains how cultural contexts shape human perceptions of animals, such as viewing cows as sacred in one society but as food in another?\nA... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 48fe52681dc8e7080bdbf76ba7983fa62c8beab0c23f18758ab65164115f20a5 | 48fe52681dc8e7080bdbf76ba7983fa62c8beab0c23f18758ab65164115f20a5 |
[
{
"role": "user",
"content": "Find the minimum value of \\( c \\) for any natural number \\( n \\) and for all real numbers \\( x_1, x_2, \\ldots, x_n \\) such that the following inequality holds:\n\\[ \\sum_{k=1}^{n} \\left( \\frac{1}{k} \\sum_{j=1}^{k} x_{j}\\right)^2 \\leq c \\sum_{i=1}^{n} x_i^2 \\]"
... | math | nvidia/OpenMathReasoning | default | cot | 28 | 22351ac876869fd910e91b50bb2cfbbb2e8a0658248c4a4b46edb555f08a73f5 | 22351ac876869fd910e91b50bb2cfbbb2e8a0658248c4a4b46edb555f08a73f5 |
[
{
"role": "user",
"content": "Iahub and Iahubina went to a date at a luxury restaurant. Everything went fine until paying for the food. Instead of money, the waiter wants Iahub to write a Hungry sequence consisting of n integers. \n\nA sequence a1, a2, ..., an, consisting of n integers, is Hungry if and onl... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 8 | 7aeb33fc4a079e037280518432859f1a | 3248fe270db72098fbef99761ead8d5f35c46ecd199514d6156e5f82c069d00b |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn an equivalence trial comparing a novel biologic (Drug X) to an approved biologic (Drug Y) for treating rheumatoid arthritis, the equivalence margin is defined as ±1.2 units on the... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | 33162a9e110f51bfa45025e7250d3f30f35481d1bc52904fb19daf9e8e7082e0 | 33162a9e110f51bfa45025e7250d3f30f35481d1bc52904fb19daf9e8e7082e0 |
[
{
"role": "user",
"content": "Find all real solutions to the system of equations:\n\\[ 2^{2x^2-1} + 2^{y^2-2} = 12 \\]\n\\[ 3^{2x^2-1} + 3^{y^2-2} = 36 \\]"
}
] | math | nvidia/OpenMathReasoning | default | cot | 57 | cf0b6ecd6e2d51360584742190d9dda1d3c7dce0959d8be488b83527cb18c8a8 | cf0b6ecd6e2d51360584742190d9dda1d3c7dce0959d8be488b83527cb18c8a8 |
[
{
"role": "user",
"content": "In triangle \\(ABC\\) with \\(AB > AC\\), the angle bisectors of \\(\\angle B\\) and \\(\\angle C\\) intersect sides \\(AC\\) and \\(AB\\) at points \\(P\\) and \\(Q\\), respectively. Let \\(I\\) be the incenter of \\(\\Delta ABC\\). Given that \\(IP = IQ\\), find the value of ... | math | nvidia/OpenMathReasoning | default | cot | 6 | 17471521fb680e16c5d0a28e54c2b04263938bc151b2b8d13467d81f5c9b9e04 | 17471521fb680e16c5d0a28e54c2b04263938bc151b2b8d13467d81f5c9b9e04 |
[
{
"role": "user",
"content": "We have the following matrix \n1 0 0 0 0 0 ...\n2 2 0 0 0 0 ...\n3 3 3 0 0 0 ...\n4 4 4 4 0 0 ... \n5 5 5 5 5 0 ... \n6 6 6 6 6 6 ...\nand so on ... \n\nThe matrix is created as follows, first row contains one 1 and rest 0's, second row contains 2 twos and rest zeros, third row... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 3 | 6b6ce080eb755fe6a784106f61afc965 | 4956d3b789831bb19d9a74645a5ff83843f8d78dbc274ea86866f76f23bc4769 |
[
{
"role": "user",
"content": "Let \\( L \\) be a full-rank lattice in \\( \\mathbb{R}^2 \\) and \\( K \\) be a sub-lattice of \\( L \\) such that \\( \\frac{A(K)}{A(L)} = m \\). If \\( m \\) is the smallest number such that for each \\( x \\in L \\), \\( mx \\in K \\), find the value of \\( m \\) given that... | math | nvidia/OpenMathReasoning | default | cot | 57 | e869195bc8339c5cfd58e3a7a4edbde2d5afe8f8b67bff5a5fee1d6d7dc60bf7 | e869195bc8339c5cfd58e3a7a4edbde2d5afe8f8b67bff5a5fee1d6d7dc60bf7 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhen implementing a dual innovation strategy, multinational enterprises (MNEs) often face organizational tensions due to the differing requirements of exploitative and exploratory in... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | f11cf4deb37cb836fc0f8c0d264a55a5cb9a7ba63a05f4255bdcc54d14f2211e | f11cf4deb37cb836fc0f8c0d264a55a5cb9a7ba63a05f4255bdcc54d14f2211e |
[
{
"role": "user",
"content": "Find all functions \\( f: \\mathbb{Z} \\rightarrow \\mathbb{Z} \\) that satisfy the following conditions:\n\\[ f(m+19) \\geq f(m) + 19 \\quad \\forall m \\in \\mathbb{Z} \\]\n\\[ f(m+99) \\leq f(m) + 99 \\quad \\forall m \\in \\mathbb{Z} \\]"
}
] | math | nvidia/OpenMathReasoning | default | cot | 8 | a8cb655596967225ab436b63fa32101e3535d791eeed7946fdd90ff3c0c57e35 | a8cb655596967225ab436b63fa32101e3535d791eeed7946fdd90ff3c0c57e35 |
[
{
"role": "user",
"content": "Find the function \\( F: \\mathbb{N} \\to \\mathbb{N} \\) such that \\( F(F(m) + F(n)) = m + n \\) for all natural numbers \\( m \\) and \\( n \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 7 | bb78b12cbdc7c084390b7c2924bd830f650c1b1a7d1f23e4101228975427504e | bb78b12cbdc7c084390b7c2924bd830f650c1b1a7d1f23e4101228975427504e |
[
{
"role": "user",
"content": "Find the probability that at least two out of three randomly chosen knights from a round table of 25 knights are sitting next to each other."
}
] | math | nvidia/OpenMathReasoning | default | cot | 28 | ac5dbea778ad6110ac5ba627bbb4488a7d1ec3e2ee74e093629b6155a8a7633e | ac5dbea778ad6110ac5ba627bbb4488a7d1ec3e2ee74e093629b6155a8a7633e |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA portfolio consists of two assets: 40% invested in Asset A and 60% in Asset B. Asset A has a beta of 1.3 and a Jensen's Alpha of 2.5%. The risk-free rate is 4%, and the market retur... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | 3f82b5883fce71152384e1220b1837a15304e354df08a0d0402ed58d1804324d | 3f82b5883fce71152384e1220b1837a15304e354df08a0d0402ed58d1804324d |
[
{
"role": "user",
"content": "My flatmate, Sayan, once invited all his relatives and friends from all over the city to join him on his birthday party.\nHe is also famous for boasting that all his friends and relatives belong to \"proper\" families.\nNow, he appointed a gaurd to allow only his relatives and ... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 6 | 34d8fecf5aceced7a829e7f69b2bf2f4 | 5a7bc65698d6913e944a83e523962930684b53f0814064ac7cfa9beb8da6491d |
[
{
"role": "user",
"content": "Let $ABC$ be an acute triangle in which the altitude $BH$ relative to the side $AC$ has length $4$. If $\\angle A = 2\\angle C$ and $AC = 11$, find the value of the area of the right triangle $BHC$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 57 | 300ebd26c6624aff4eb10bf9590dd8195a805a0f7745bb968f0099295dad7429 | 300ebd26c6624aff4eb10bf9590dd8195a805a0f7745bb968f0099295dad7429 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nAquaCorp, a U.S.-based multinational, is acquiring Zephyr Industries, a German renewable energy firm with substantial operations in Argentina and Turkey. Zephyr's valuation was deriv... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 072a3926b063e41f20927f8c7ff65bfaea99ae4330e6709a6ce1611e1a4ed633 | 072a3926b063e41f20927f8c7ff65bfaea99ae4330e6709a6ce1611e1a4ed633 |
[
{
"role": "user",
"content": "Problem\n\nA large-scale joint party is held every year at Aizu University.\nThis year, N men and M women will participate.\nMales are assigned IDs from 0 to N-1, and females are assigned IDs from 0 to M-1.\n\nAt this joint party, you will be presented with the IDs of your \"lo... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 7 | 4fe0b50c6dd1649bf7f85cec4852ba24 | 41caedcf557966a5d112f6098a14445550a76c72a7912e35ae3fda73aefd6602 |
[
{
"role": "user",
"content": "Find the number of $7$-tuples of positive integers $(a,b,c,d,e,f,g)$ that satisfy the following systems of equations:\n\\[\nabc = 70, \\quad cde = 71, \\quad efg = 72.\n\\]"
}
] | math | nvidia/OpenMathReasoning | default | cot | 6 | 79e65d67ad97d04b1afd44959a79553288aba9ba39f064981dcf07d0c34852e1 | 79e65d67ad97d04b1afd44959a79553288aba9ba39f064981dcf07d0c34852e1 |
[
{
"role": "user",
"content": "Suppose you are living with two cats: A and B. There are n napping spots where both cats usually sleep.\n\nYour cats like to sleep and also like all these spots, so they change napping spot each hour cyclically: \n\n * Cat A changes its napping place in order: n, n - 1, n - 2,... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 1 | 134fd24759ed8b506df51acc3022bdfb | 6d302ce8252bbadab2d13c8ad8cf5d2aead6e3366b8f6adef4593cb0b16ee7a1 |
[
{
"role": "user",
"content": "N problems have been chosen by the judges, now it's time to assign scores to them!\n\nProblem i must get an integer score A_i between 1 and N, inclusive. The problems have already been sorted by difficulty: A_1 \\le A_2 \\le \\ldots \\le A_N must hold. Different problems can ha... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 7 | 7e266c983a1101c821e804f9efd0e766 | 71b0fa774f89639121a18ac512b8374d2b3c7c558c4724e73eb1aa5952bc7027 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider a hypothetical global financial crisis where the US Federal Reserve activates swap lines to major advanced economy central banks (e.g., ECB, BoJ, BoE) to alleviate dollar li... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 7ad3d9dfe98f42af75857687db2ca84b478edb12d066e88d922c9fc228aa0381 | 7ad3d9dfe98f42af75857687db2ca84b478edb12d066e88d922c9fc228aa0381 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA 55-year-old woman presents with a newly diagnosed 3.5 cm invasive ductal carcinoma in the left breast, triple-negative, clinically node-positive (cN1). She desires mastectomy. Whic... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | b1dd47834b657bb8f881cb599c470e7569ec01f924363959bea9d801c9767558 | b1dd47834b657bb8f881cb599c470e7569ec01f924363959bea9d801c9767558 |
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