On-Policy Delta Distillation
Paper • 2607.15161 • Published • 38
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[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of comparative crime fiction, the evolution of the detective figure across literary traditions often reflects broader shifts in narrative purpose and societal critique... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 222cf1e8b6a4ced30770e095e39959b6033042320b0d34860393a09440f6eea1 | 222cf1e8b6a4ced30770e095e39959b6033042320b0d34860393a09440f6eea1 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhen designing a multi-organ-on-a-chip (MOC) system to study pharmacokinetics, which scaling principle is **most critical** for maintaining physiological relevance between organ comp... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | b7012a7fe21c48d3338646daec129c10532f4c5222ce9a16ab4a5d0f2f2e4501 | b7012a7fe21c48d3338646daec129c10532f4c5222ce9a16ab4a5d0f2f2e4501 |
[
{
"role": "user",
"content": "How many different rectangles can be formed by connecting four of the dots in a 4 x 4 square array of dots such that the sides of the rectangle are parallel to the sides of the grid?"
}
] | math | nvidia/OpenMathReasoning | default | cot | 8 | d207ad4d87d0c6fe94f6e77df784e0b4ad3dc36c36ecd3a19d1216cc43ccb845 | d207ad4d87d0c6fe94f6e77df784e0b4ad3dc36c36ecd3a19d1216cc43ccb845 |
[
{
"role": "user",
"content": "A tourist hiked along the mountain range. The hike lasted for n days, during each day the tourist noted height above the sea level. On the i-th day height was equal to some integer hi. The tourist pick smooth enough route for his hike, meaning that the between any two consecuti... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 0 | 0d415b7d57788b6001d96128ce1f9197 | d05a492e79f4913779f4cfae87af71e4007d2c81bdb2573e071dd28696d5d03c |
[
{
"role": "user",
"content": "Recently a tournament in k kinds of sports has begun in Berland. Vasya wants to make money on the bets.\n\nThe scheme of the tournament is very mysterious and not fully disclosed. Competitions are held back to back, each of them involves two sportsmen who have not left the tour... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 5 | 7ce5297c5e5666b2b03676ea1d399fce | ef74a9944db2360f53df5ff84ab47cab8c15814d43048f9062a46a23e92bb1e8 |
[
{
"role": "user",
"content": "Rationalize the denominator of $\\frac{5}{2\\sqrt{2}+\\sqrt{3}+\\sqrt{5}}$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 62 | 2c08b7aa1d8d09a88d82b50bc99c816fb87c39e26240e59dd588c216aef1f046 | 2c08b7aa1d8d09a88d82b50bc99c816fb87c39e26240e59dd588c216aef1f046 |
[
{
"role": "user",
"content": "If \\( xf(x)f(f(x^2))f(f(f(x^2))) = 2013^2 \\), find \\( |f(2013)| \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 28 | 06aae03ac50379cd48a9118e5f6dd52fc08ba0cb24e895088b26d1d235f1e183 | 06aae03ac50379cd48a9118e5f6dd52fc08ba0cb24e895088b26d1d235f1e183 |
[
{
"role": "user",
"content": "Yaroslav likes algorithms. We'll describe one of his favorite algorithms.\n\n 1. The algorithm receives a string as the\ninput. We denote this input string as a. \n 2. The algorithm consists of some number of command. Сommand number i looks either as si >> wi, or as si <> wi,... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 4 | 7ae160c6a50af29a753174220e4a6b7b | c9f2a3dab845e3473fd5f68e96b955d065a1eff8c5a9ec0d6af3e21b0ec6b220 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn Fake Barn County, there are 100 barn facades (which look like barns from the road but are fake) and one real barn. Sam stops at the real barn and forms the belief, \"That is a bar... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 561c45e3558e181aa1d49fbc22e5e1f910bfe848ae97e0e7886360d78a611f25 | 561c45e3558e181aa1d49fbc22e5e1f910bfe848ae97e0e7886360d78a611f25 |
[
{
"role": "user",
"content": "You are given a non-empty string s=s_1s_2... s_n, which consists only of lowercase Latin letters. Polycarp does not like a string if it contains at least one string \"one\" or at least one string \"two\" (or both at the same time) as a substring. In other words, Polycarp does n... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 5 | 1e04dad3a3fa7c8a46597169a9424ff6 | 61be000625d8d5d17c0243214e4ef848cdb43d83a81dd0a5eeb1fbe6b1f1ebb1 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of the Paris Agreement's nationally determined contributions (NDCs), a developing country Party facing severe economic constraints and historical low emissions propose... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 92a58fdade446b669d20c0984c19adf610bf4e509b8cb026b570dbf73e90217e | 92a58fdade446b669d20c0984c19adf610bf4e509b8cb026b570dbf73e90217e |
[
{
"role": "user",
"content": "Problem description\nThe mess authority of Hall 1, NIT Durgapur has decided to select a student representative. A special game is organized to select one from all the students. Everyone is sitting in the common room of Hall 1. The order in which the students will play is based ... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 1 | d50f74f9c47eb4f7d26149efcf7c41ff | fc298ea3b77666f88ac6cdb283dee66e56ec3dfa7902b1df040a66e4489ff2fc |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider a time-series of remotely sensed data with evenly spaced temporal observations. When applying the Fourier Transform for periodic component analysis, which fundamental theore... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | 8a2ed2510e8bd6ba0122524a168918a13b7964154b57532095c07fa273de257d | 8a2ed2510e8bd6ba0122524a168918a13b7964154b57532095c07fa273de257d |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA teacher has students with varied reading levels and interests. She wants to design a differentiated reading activity that addresses both student readiness (based on current skill l... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 34dd77f52c08c12aa3c642dd329501d45608c00778accdc1329ee4f3bf686f68 | 34dd77f52c08c12aa3c642dd329501d45608c00778accdc1329ee4f3bf686f68 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider a single-molecule transistor where the molecular bridge is a conjugated oligomer with thiophene units, connected to source and drain electrodes via gold-thiol bonds. Assumin... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 113c580719eaefb21d0925dc0018fa3d3a1e656c532f48083c962b8159634508 | 113c580719eaefb21d0925dc0018fa3d3a1e656c532f48083c962b8159634508 |
[
{
"role": "user",
"content": "Let \\( H \\) be a pre-Hilbert space, and let \\( \\{ a_n \\}_{n \\in \\mathbb{N}} \\) be an orthogonal family in \\( H \\). Find a necessary and sufficient condition such that the vector space generated by \\( \\{ a_n \\}_{n \\in \\mathbb{N}} \\) is dense in \\( H \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 8 | 73afc5f28a267f85c8fa174c1e5e13ef8d0e2d31f85efca2fb48f694165a0179 | 73afc5f28a267f85c8fa174c1e5e13ef8d0e2d31f85efca2fb48f694165a0179 |
[
{
"role": "user",
"content": "Let \\( k \\in \\mathbb{N^+} \\), \\( S = \\left\\{ \\left( m + \\frac{1}{k}, n \\right) \\mid m, n \\in \\mathbb{Z} \\right\\} \\), and \\( T = \\left\\{ \\left( m + \\frac{2}{k}, n \\right) \\mid m, n \\in \\mathbb{Z} \\right\\} \\). Find all \\( k \\in \\mathbb{N^+} \\) such... | math | nvidia/OpenMathReasoning | default | cot | 28 | 3a2fa3e74629294860abe689a8c488051da7314e03225c56d275b742b88294f4 | 3a2fa3e74629294860abe689a8c488051da7314e03225c56d275b742b88294f4 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsidering fluxional organometallic complexes, examine the haptotropic shift mechanism in the cycloheptatriene complex (C<sub>7</sub>H<sub>8</sub>)Mo(CO)<sub>3</sub>. Which statemen... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 2610079494647af1915902477edb5e2b370693fee539d399f06cbf9309d81fe9 | 2610079494647af1915902477edb5e2b370693fee539d399f06cbf9309d81fe9 |
[
{
"role": "user",
"content": "Let \\( V \\) be the vector space of all polynomials in one variable with real coefficients and having degree at most 20. Define the subspaces:\n\\[ W_1 = \\{ p \\in V : p(1) = 0, p\\left(\\frac{1}{2}\\right) = 0, p(5) = 0, p(7) = 0 \\} \\]\n\\[ W_2 = \\{ p \\in V : p(3) = 0, p... | math | nvidia/OpenMathReasoning | default | cot | 139 | 1635da4dc96ebfc9f0a5f6c960dc2e71860f597373dd6c60f7b7e647dcd20457 | 1635da4dc96ebfc9f0a5f6c960dc2e71860f597373dd6c60f7b7e647dcd20457 |
[
{
"role": "user",
"content": "Consider triangle ABC with circumcenter O. Points D, E, and F are on sides BC, CA, and AB, respectively, such that triangle DEF is similar to triangle ABC. If the orthocenter of triangle DEF is H, find the ratio of the area of triangle ABC to the area of triangle DEF when O coi... | math | nvidia/OpenMathReasoning | default | cot | 57 | 3a41c4e14e119ba985335f8a1cf4de246c4eff35e8baefc5195ad2ce35698628 | 3a41c4e14e119ba985335f8a1cf4de246c4eff35e8baefc5195ad2ce35698628 |
[
{
"role": "user",
"content": "Unfortunately, a mistake was found in the proof of the author's solution to this problem. Currently, we don't know the absolutely correct solution. However, you can solve this task, but if your solution passes all the tests, it is not guaranteed to be correct. If your solution ... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 0 | 872a5f7cacd54d70c51e96f051b49782 | 204cd36e661a611277be5874e6984534505e4c78e0bc54325417d660bb8db8ca |
[
{
"role": "user",
"content": "Consider a prime number of the form $1 + 2^n + 4^n$, where $n \\in \\mathbb{N}$. Find the sum of all possible values of $k$ such that $n = 3^k$, where $k \\in \\mathbb{N}$, and $n \\leq 243$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 70 | 555ba55ff5dcea89346e74672cb8e70885154c57c85d8d786121d89f539ee8b6 | 555ba55ff5dcea89346e74672cb8e70885154c57c85d8d786121d89f539ee8b6 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nAn overhead athlete presents with Glenohumeral Internal Rotation Deficit (GIRD) and early signs of labral irritation. Which intervention strategy is most appropriate to prevent progr... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 33bfa52d2de6adac6b08403f8cf3d8f2623c36d124d2095de3c3c06676fcafa5 | 33bfa52d2de6adac6b08403f8cf3d8f2623c36d124d2095de3c3c06676fcafa5 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhen applying Phylogenetic Independent Contrasts (PIC) to analyze the evolution of a continuous trait across species, which of the following statements about the method is FALSE?\nA:... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | b6a67f2c0922d30597039ffa117de52230c9ba81cfe5abad9dcaec2e1a1e4325 | b6a67f2c0922d30597039ffa117de52230c9ba81cfe5abad9dcaec2e1a1e4325 |
[
{
"role": "user",
"content": "A sequence of integers is called a wonderful sequence if all the integers in it are positive and it is a strictly increasing sequence.\n\nGiven a sequence of integers, you have to make it a wonderful sequence. For that you can change any element you want, but you should make as... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 0 | 9c9386d1eb204abfa800c9b09a7dbd90 | 7eccdd98bf283ee31589c5505bb6bbda21cc8ea5b0c78268b751ac64855d7cdc |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider a hydrodynamic model for collective motion in 2D, given by:\n\n∂_t ρ + ∇·(ρ **v**) = 0 \n∂_t **v** + (**v**·∇)**v** = μ ∇² **v** + (a - b |**v**|²) **v** - ∇P(ρ) + κ ∇(∇·**... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | e04a02caf157221d3d6b0f8952d5a7235c797b4b49aebf2e8a47fd4469865bfc | e04a02caf157221d3d6b0f8952d5a7235c797b4b49aebf2e8a47fd4469865bfc |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA patient with genotype 1b hepatitis C virus infection and compensated cirrhosis achieves sustained virological response (SVR) after 12 weeks of direct-acting antiviral therapy. Whic... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 5029ac09478a77409c4149c268fa64b558504717b1f99ba6342ac7b665a360e9 | 5029ac09478a77409c4149c268fa64b558504717b1f99ba6342ac7b665a360e9 |
[
{
"role": "user",
"content": "Alice's hair is growing by leaps and bounds. Maybe the cause of it is the excess of vitamins, or maybe it is some black magic...\n\nTo prevent this, Alice decided to go to the hairdresser. She wants for her hair length to be at most l centimeters after haircut, where l is her f... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 0 | f01ec78765e131b0eac43de18a27dfe3 | 0277a151f92a057a6cf7003e4ca83b37553e69684b05a4e4463b0a052cd7d1e4 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn East-West Comparative Studies, how does the application of Edward Said's concept of \"Orientalism\" to classical Chinese poetry translations in the 19th-century European tradition... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 7b5babe3827def2d021b5b8e3047d2f3af06fcee0da1750b820641673067dbc8 | 7b5babe3827def2d021b5b8e3047d2f3af06fcee0da1750b820641673067dbc8 |
[
{
"role": "user",
"content": "Isaac H. Ives attended an international student party and made a lot of girl friends (as many other persons expected). To strike up a good friendship with them, he decided to have dates with them. However, it is hard for him to schedule dates because he made so many friends. Th... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 3 | 8a4f9f3d1afe22d3519224dbeb305012 | 7e893e78063d86195bd726c53d750eb4058cd9a716ba3f54be885c3272ab56ab |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn forensic psychiatric evaluations, a 16-year-old presents with persistent aggressive conduct, callous-unemotional traits, and instrumental violence. The diagnostic distinction betw... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 4a04976d9c3bd0eb24f7972bcd69f3647d6f7bcc0dbe7e62edd8ea9eb98a449a | 4a04976d9c3bd0eb24f7972bcd69f3647d6f7bcc0dbe7e62edd8ea9eb98a449a |
[
{
"role": "user",
"content": "What is the maximum number of bishops that can be placed on an $m \\times n$ chessboard such that each bishop attacks no more than 2 other bishops? (A bishop attacks along diagonals.)"
}
] | math | nvidia/OpenMathReasoning | default | cot | 139 | 4b90b29c6d1ad47d6723c7f4eea6be84c8c2e41b361244cfe7f33f9a896df121 | 4b90b29c6d1ad47d6723c7f4eea6be84c8c2e41b361244cfe7f33f9a896df121 |
[
{
"role": "user",
"content": "Ayush and Ashish play a game on an unrooted tree consisting of n nodes numbered 1 to n. Players make the following move in turns: \n\n * Select any leaf node in the tree and remove it together with any edge which has this node as one of its endpoints. A leaf node is a node wit... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 7 | 83799a90937f2ea3182fffeb2ed4cd2e | 79d5eefbeae1a77be2c8d7bbab36db1759f537935e7e197f47d56d1a694fec6b |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA patient with cirrhosis undergoes a contrast-enhanced MRI for a newly detected 25 mm liver lesion. The imaging shows nonrim arterial phase hyperenhancement (APHE), nonperipheral \"w... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | ea7c4e742c05d4d9896290aadc0dc1cef6e062668fff8f61b658e831d8c4a425 | ea7c4e742c05d4d9896290aadc0dc1cef6e062668fff8f61b658e831d8c4a425 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider a semiconductor sample with electron concentration \\( n \\) (in cm\\(^{-3}\\)), hole concentration \\( p = 2n \\), electron mobility \\( \\mu_n = 1500 \\text{cm}^2/\\text{... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | 91b2c341934ac91117115f084638601d65af36353d5fec7bf07272ff4eb89ba4 | 91b2c341934ac91117115f084638601d65af36353d5fec7bf07272ff4eb89ba4 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nDuring Contrast-Enhanced Ultrasound (CEUS) using gas-filled microbubbles for vascular imaging, which physical phenomenon primarily explains the increased risk of cavitation-induced b... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | 40c205175ed4f84f28f99ea8869ff8840f2e786951106a996bd2ab8ced7a53b9 | 40c205175ed4f84f28f99ea8869ff8840f2e786951106a996bd2ab8ced7a53b9 |
[
{
"role": "user",
"content": "Triangle $ABC$ is inscribed in a circle $C$ with center $O$ and radius $1$. For any point $M \\in C \\setminus \\{A, B, C\\}$, let $s(M) = OH_1^2 + OH_2^2 + OH_3^2$, where $H_1, H_2, H_3$ are the orthocenters of triangles $MAB$, $MBC$, and $MCA$, respectively. Determine the sma... | math | nvidia/OpenMathReasoning | default | cot | 35 | 399504919f57d88b6de48af8dc75967c9eb8d8cf9e9e39572dd449e8ab86ca91 | 399504919f57d88b6de48af8dc75967c9eb8d8cf9e9e39572dd449e8ab86ca91 |
[
{
"role": "user",
"content": "Find all integer solutions to the equation \\( x^y = 2^z - 1 \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 26 | 8925d1e5bcd6101b2a09503e40cff3b2f9590b1f5ffa01e633bc38e7f59202d9 | 8925d1e5bcd6101b2a09503e40cff3b2f9590b1f5ffa01e633bc38e7f59202d9 |
[
{
"role": "user",
"content": "Find all invertible elements of $\\mathbb{Z}_6$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 6 | eb92d6453222a72fd074c593f31346de5cb819f2566d1524a35820e14e23bc5a | eb92d6453222a72fd074c593f31346de5cb819f2566d1524a35820e14e23bc5a |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich advanced MRI technique exhibits the highest sensitivity to proteoglycan loss in early osteoarthritis but suffers from significant magnetic field strength-dependent variability ... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 89faba15f85ee9968db1d99417cc2aa879994122b788def97a4d76a697ee8607 | 89faba15f85ee9968db1d99417cc2aa879994122b788def97a4d76a697ee8607 |
[
{
"role": "user",
"content": "Example\nInput\n\n3 2 4 0\n2 2\n-2 -2\n-2 2\n\n\nOutput\n\n15"
}
] | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 2 | c984b3acec42dd74cb298a3ef8d8c1b1 | 5e6eb8d0d0bac914294be2861acdacf21449ba850c4f8f10313c81ec02a5862e |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a study exploring resistance mechanisms in cancer cells with hyperactive PI3K-Akt signaling, cells expressing a constitutively active PI3K mutant (p110α-H1047R) are treated with a... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | bd2722ca04a3a986576c2704ca4d2b785f8094eb6e32c8fe1519ffa8f2e44bd2 | bd2722ca04a3a986576c2704ca4d2b785f8094eb6e32c8fe1519ffa8f2e44bd2 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider a hypothetical scenario in an endemic onchocerciasis region where large-scale environmental changes lead to significant alterations in river flow regimes and land use patter... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | 86224cd084357e2f81ba5b9a85b8d543ea18fdc5bb8f10aa3609ba9ae5025ad1 | 86224cd084357e2f81ba5b9a85b8d543ea18fdc5bb8f10aa3609ba9ae5025ad1 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA patient with early-stage dementia executed a valid advance directive three years ago, explicitly refusing life-sustaining treatment (including artificial hydration and nutrition) i... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | 1740b337352963332981dc43eb39344ed1529335d175cde5446e858c066a3096 | 1740b337352963332981dc43eb39344ed1529335d175cde5446e858c066a3096 |
[
{
"role": "user",
"content": "How many different ways can you select a block of five adjacent squares on an 8x8 chessboard? Squares are considered adjacent if they share a common side."
}
] | math | nvidia/OpenMathReasoning | default | cot | 35 | 6ab3c8fe1fa9ac8d281c17ff33bb998db7ff9fda00a893dc236e4d8ad578548d | 6ab3c8fe1fa9ac8d281c17ff33bb998db7ff9fda00a893dc236e4d8ad578548d |
[
{
"role": "user",
"content": "Let $n$ be a natural number and $k$ be the number of distinct primes that divide $n$. Calculate the minimum value of $\\frac{\\ln n}{\\ln 2}$ for $n$ with exactly 5 distinct prime divisors."
}
] | math | nvidia/OpenMathReasoning | default | cot | 26 | e2f9a74c56176c08b7ab8b9919285f38450db51fe06e39f9b547909c773d72c3 | e2f9a74c56176c08b7ab8b9919285f38450db51fe06e39f9b547909c773d72c3 |
[
{
"role": "user",
"content": "Let \\(A\\) be the larger root of the equation \\((2004x)^2 - (2003)(2005)x - 1 = 0\\) and \\(B\\) be the smaller root of the equation \\(x^2 + 2003x - 2004 = 0\\). Determine the value of \\(A - B\\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 26 | 8b088b6fd906d58aaec5aa000d0e606aa2e5e1f01050ead6c156e0c3a9e57cdb | 8b088b6fd906d58aaec5aa000d0e606aa2e5e1f01050ead6c156e0c3a9e57cdb |
[
{
"role": "user",
"content": "Happy new year! The year 2020 is also known as Year Gyeongja (경자년, gyeongja-nyeon) in Korea. Where did the name come from? Let's briefly look at the Gapja system, which is traditionally used in Korea to name the years.\n\nThere are two sequences of n strings s_1, s_2, s_3, …, s... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 8 | 6986e78465e9278fdf9d45e9ddb24fa9 | 1d2eb60646afd0d08dd8568a7fff47f308c427c4385a076a1ca6f6e43815d3ad |
[
{
"role": "user",
"content": "Simplify $\\sqrt{1+x^2+\\sqrt{1+x^2+x^4}}$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 28 | 3ebff22445c1521ba78c056fbd706b900a13537e6f68a4e96da2cee244518626 | 3ebff22445c1521ba78c056fbd706b900a13537e6f68a4e96da2cee244518626 |
[
{
"role": "user",
"content": "Example\nInput\n\n8\n-10 0\n-10 5\n-5 5\n-5 0\n10 0\n10 -5\n5 -5\n5 0\n\n\nOutput\n\n50"
}
] | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 7 | 714e85a53649c5c0528f5a008ca94b13 | a93da62a4e6787407a47b4329e0ca032ad28791c66dc41bb9337ad273b7e82bd |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a crossover trial with two treatments (A and B), three periods, and two sequences (ABA and BAB), a fixed-effects model includes an intercept, sequence effect (1 df), period effect... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | a377637be573adc7eb2151d3052a6e7be93bd74e6e9dfae95451b4e51b273dbb | a377637be573adc7eb2151d3052a6e7be93bd74e6e9dfae95451b4e51b273dbb |
[
{
"role": "user",
"content": "Fox Ciel wants to write a task for a programming contest. The task is: \"You are given a simple undirected graph with n vertexes. Each its edge has unit length. You should calculate the number of shortest paths between vertex 1 and vertex 2.\"\n\nSame with some writers, she wan... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 5 | 803dc5ee25a75b9d77f25732761d287c | c4d7a79652c72be0599c710d1ddafbd43f0d0044ff27581492ee7342727b568e |
[
{
"role": "user",
"content": "Two integer sequences existed initially, one of them was strictly increasing, and another one — strictly decreasing.\n\nStrictly increasing sequence is a sequence of integers [x_1 < x_2 < ... < x_k]. And strictly decreasing sequence is a sequence of integers [y_1 > y_2 > ... > ... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 0 | ac73af77cf26d681556e4d4a17841479 | 633b006761823028daeae829645d32861708a3f0e6f499ef553d86ed49d30cf8 |
[
{
"role": "user",
"content": "Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:\n\n\nSelectionSort(A)\n1 for i = 0 to A.length-1\n2 mini = i\n3 for j = i to A.length-1\n4 if A[j] < A[mini]\n... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 8 | e01f7ac4cc39c40f9e3792f0d49eede3 | 6c36b374a7d5633b8f836ad3dbf358e83a7112bf5ab045997dfa5096c6f87a5b |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nThe Spring and Autumn Annals records an event in the 3rd year of Duke Xi: \"楚人伐鄭\" (The men of Chu attacked Zheng). Later, in the 28th year of Duke Xiang, it records: \"楚子昭伐吳\" (Zhao... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | 1f62dffffef0dd73f35ab5e2b80c3281380f2dfb7c9fff2d1fbd0f6cd2e2895d | 1f62dffffef0dd73f35ab5e2b80c3281380f2dfb7c9fff2d1fbd0f6cd2e2895d |
[
{
"role": "user",
"content": "Luyi has n circles on the plane. The i-th circle is centered at (xi, yi). At the time zero circles start to grow simultaneously. In other words, the radius of each circle at time t (t > 0) is equal to t. The circles are drawn as black discs on an infinite white plane. So at eac... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 8 | 37d42183dd5ddb3695f64d0972def46c | 4e64f7d43bd6415be0e79264e35f67d9a2d66229799a852831c97246d06ded31 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nDuring a left-sided medial visceral rotation (Mattox maneuver) for trauma exposure, the surgical team encounters unexpected bleeding at the level of the left renal vein. Which of the... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | 211a6a4129bac20cacd3a602659fb3050fb37346d967815a7badb445426a4eff | 211a6a4129bac20cacd3a602659fb3050fb37346d967815a7badb445426a4eff |
[
{
"role": "user",
"content": "Problem description\nChef loves circular cakes. He divides them into smaller pieces and sells them. You are to help him in this work.\nToday Chef has cooked the brand new circular cake. To split the cake Chef can make several (possibly, zero) cuts. Each cut should be a straight... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 0 | 8f29914b09c0d32aefd3855837bc8626 | fa746b9e80e8db449b5b5890961f28dad530bbb7262b52e660d2c52edbb4ae46 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the Drude model, a metal has two types of charge carriers: electrons with density \\(2n\\), effective mass \\(m\\), and relaxation time \\(\\tau\\); and holes with density \\(n\\)... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 4d0409b888fe1260a9601098d2826ebc39b335d8dfe378934a67cd899c991732 | 4d0409b888fe1260a9601098d2826ebc39b335d8dfe378934a67cd899c991732 |
[
{
"role": "user",
"content": "You are given an array a consisting of n integers. Beauty of array is the maximum sum of some consecutive subarray of this array (this subarray may be empty). For example, the beauty of the array [10, -5, 10, -4, 1] is 15, and the beauty of the array [-3, -5, -1] is 0.\n\nYou m... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 8 | 864838787b69acf53be20adbd2bb7ba6 | 9e0a08759c7dba8484828973cbb3a87c4d56de9a35bc1fe81d24fa916fd0042b |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nDuring corneal wound healing, which of the following statements accurately describes a key mechanism or outcome?\n\nA: Fibroblast proliferation dominates the initial epithelial heali... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | 630e0a564da5cfe9f754cb0bf6c8d3a0899b3d0d11f49bab12c683b920573bb5 | 630e0a564da5cfe9f754cb0bf6c8d3a0899b3d0d11f49bab12c683b920573bb5 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn developing a revitalization program for a critically endangered Indigenous heritage language within its traditional community, curriculum designers prioritize additive bilingualis... | science | nvidia/OpenScienceReasoning-2 | default | train | 0 | aef564a225cdbd4f0243a50f9aca8a59b541ae0a81a4fe82aed3332362bd7627 | aef564a225cdbd4f0243a50f9aca8a59b541ae0a81a4fe82aed3332362bd7627 |
[
{
"role": "user",
"content": "Let \\( A \\) be the area of the convex pentagon with vertices \\((1, 1)\\), \\((4, 7)\\), \\((2, 3)\\), \\((1, 7)\\), and \\((0, 10)\\). Compute the value of \\( A \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 108 | 8b6dded07efd0c2739b2bfdf6406bc04e122dc6bd21d02d9c45a89f8dd69556f | 8b6dded07efd0c2739b2bfdf6406bc04e122dc6bd21d02d9c45a89f8dd69556f |
[
{
"role": "user",
"content": "Solve the equation $3^x - 2^y = 7$ in natural numbers $x$ and $y$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 6 | 9a611f21ace1a88066c75423673529f074ba5713155038f886ef04859d772eff | 9a611f21ace1a88066c75423673529f074ba5713155038f886ef04859d772eff |
[
{
"role": "user",
"content": "What is the largest integer that divides \\( n^2 \\cdot (n^2 - 1) \\cdot (n^2 - 4) \\) for all integers \\( n \\)?"
}
] | math | nvidia/OpenMathReasoning | default | cot | 8 | 112f00269bf0252ca36d0371629e20797fbc95a0c27d989c4ac95449baec8007 | 112f00269bf0252ca36d0371629e20797fbc95a0c27d989c4ac95449baec8007 |
[
{
"role": "user",
"content": "On a clear night, a boy, Campanella looked up at the sky, there were many stars which have different colors such as red, yellow, green, blue, purple, etc. He was watching the stars and just lost track of time. Presently, he wondered,\n\n| <image>\n---|---\n\n\"There are many s... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 7 | 36e3068588d8fec9bd744b3f0c6cc0e6 | fd0c5e237dd3e70d8bf01b62dad83757979d6b5ab010b826af242d5e00c81e03 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA lighting design research group aims to establish parameters for optimizing mental well-being in residential environments for individuals with heightened photosensitivity and circad... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 6ecc965958e6f84a73da7c0b82cfbfd73a775d6e90b46f024b2df94d4af75440 | 6ecc965958e6f84a73da7c0b82cfbfd73a775d6e90b46f024b2df94d4af75440 |
[
{
"role": "user",
"content": "Let \\( \\sum_{i=1}^n a_i = \\sum_{i=1}^n b_i = 1 \\), \\( a_i > 0 \\), \\( b_i > 0 \\) for \\( i = 1, 2, \\ldots, n \\), and \\( \\lambda_1 \\geq \\lambda_2 \\geq \\cdots \\geq \\lambda_n \\geq 0 \\). Calculate the maximum value of the expression\n\\[\n\\frac{\\sum_{i=1}^n (1 ... | math | nvidia/OpenMathReasoning | default | cot | 35 | bc0364ee5c8abb2e431df8eceb25f5c41908da97cea5eae9220e43ac9305ca67 | bc0364ee5c8abb2e431df8eceb25f5c41908da97cea5eae9220e43ac9305ca67 |
[
{
"role": "user",
"content": "Little Petya loves looking for numbers' divisors. One day Petya came across the following problem:\n\nYou are given n queries in the form \"xi yi\". For each query Petya should count how many divisors of number xi divide none of the numbers xi - yi, xi - yi + 1, ..., xi - 1. He... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 5 | 01bde2c62be8ded9e91592026f3f0363 | 9203dbfb3e796a0b5e8a59c6efb09220b06f59203f7a4ae43f32650290c80c03 |
[
{
"role": "user",
"content": "Determine whether the function \\( f(x) \\) is differentiable on the right at \\( x = 0 \\). The function is defined as:\n\\[ f(x) = \\begin{cases} \n\\frac{\\ln(1+ax)}{\\ln(1+bx)} & \\text{if } x \\neq 0 \\\\\n\\frac{a}{b} & \\text{if } x = 0 \n\\end{cases} \\]\nFind the limit... | math | nvidia/OpenMathReasoning | default | cot | 139 | c85bbda31cc4b34ef3c29c367d1167f0257d41e443204527b2a2dba7366184dd | c85bbda31cc4b34ef3c29c367d1167f0257d41e443204527b2a2dba7366184dd |
[
{
"role": "user",
"content": "Find \\( y \\) if \\( y^y = 2019^{2019^{2020}} \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 6 | 4ea1f91253f98cca6e6b75e2927e8b39b82e5385b2cf28dc703d62c5ed0c7528 | 4ea1f91253f98cca6e6b75e2927e8b39b82e5385b2cf28dc703d62c5ed0c7528 |
[
{
"role": "user",
"content": "Find all infinite sequences of positive integers $\\{a_{1}, a_{2}, \\cdots\\}$ such that for all positive integers $i, j$, we have $i+j \\mid a_{i} + a_{j}$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 139 | 65bab920d8e0f95b71ce72e49175999c350b08771ab96f9a352ac6c4514a0df3 | 65bab920d8e0f95b71ce72e49175999c350b08771ab96f9a352ac6c4514a0df3 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA patient with diabetes presents with non-healing osteomyelitis of the third toe extending into the third metatarsal head refractory to antibiotics. A podiatric surgeon performs a th... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 7527f9ce1ee6f80f41cbf1fe7df84dad6fdb94216b5ce73be1294e4cad46b85e | 7527f9ce1ee6f80f41cbf1fe7df84dad6fdb94216b5ce73be1294e4cad46b85e |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA research team aims to develop a CRISPR-based diagnostic for an RNA virus with a high mutation rate in the target region. The diagnostic requires: \n1. Direct RNA targeting (no rev... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | d2c7f2db0eedf0cdbff1edb18d8cc9898825a14f57fcc5284ea98c8944837e6b | d2c7f2db0eedf0cdbff1edb18d8cc9898825a14f57fcc5284ea98c8944837e6b |
[
{
"role": "user",
"content": "Find the smallest natural number \\( n \\) such that \\( n^5 + 5^n \\) is divisible by 13."
}
] | math | nvidia/OpenMathReasoning | default | cot | 7 | b50d5c60354acdd2bc90a115c39da70cf9c7afc5a11c6796e893141be948b80b | b50d5c60354acdd2bc90a115c39da70cf9c7afc5a11c6796e893141be948b80b |
[
{
"role": "user",
"content": "What is the sum of the reciprocals of the divisors of 360?"
}
] | math | nvidia/OpenMathReasoning | default | cot | 62 | 25a38c4eb55bdd165381e6907f2d86fabe17ad3be67082b8c9eb2312d08b3833 | 25a38c4eb55bdd165381e6907f2d86fabe17ad3be67082b8c9eb2312d08b3833 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn studies of epithelial-mesenchymal transition (EMT) in pancreatic ductal adenocarcinoma (PDAC), researchers investigated TGFβ signaling's role in regulating ROBO receptors. When TG... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 5a690ef893be7b050ea745a7e899dbdedce64c665ce2133c48979cf1f8ed4e43 | 5a690ef893be7b050ea745a7e899dbdedce64c665ce2133c48979cf1f8ed4e43 |
[
{
"role": "user",
"content": "Little Syed loves brute force. He thinks that brute force can be the solution to any problem in the world. You give him any question, and he'll have a brute force answer ready for you, almost all the time. His good friend Little Jhool (Like, always!) decides to teach him a less... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 0 | 3238e266af27dfb1fada75c45684c123 | c7a3991286fe2767660de2ed3b418439345d3fe1f6b412a643513ce80b6d391b |
[
{
"role": "user",
"content": "Solve the inequality: $(1-\\cos{x})(1+\\cos{2x})(1-\\cos{3x}) < \\frac{1}{2}$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 62 | 68b0206c6605109e059a403870f034dc89615cc533d8c9ea7cf0a2f36ee37050 | 68b0206c6605109e059a403870f034dc89615cc533d8c9ea7cf0a2f36ee37050 |
[
{
"role": "user",
"content": "You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.\n\nTh... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 5 | 6bf6e7c428ff134569fc7a73d6381938 | ab6c79638a6a3bf0378a1df89aa3ff5691fbfe40136c123555e413ae68560a02 |
[
{
"role": "user",
"content": "Sereja and Dima play the game. The rules are as follows:\nInitially, there are n cards on the table, each card has a positive integer written on it.\nAt the beginning Sereja writes down the number 0 on the sheet of paper.\nThen players pick cards from the table alternately. Whe... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 2 | 90edcf5b21cd2b530b155cca2319b4eb | 4d34d2e7107153b41e1debc7050a1049140d1398060e3293528e9df7b3f1c231 |
[
{
"role": "user",
"content": "ZS the Coder and Chris the Baboon has explored Udayland for quite some time. They realize that it consists of n towns numbered from 1 to n. \n\nThere are n directed roads in the Udayland. i-th of them goes from town i to some other town ai (ai ≠ i). ZS the Coder can flip the di... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 3 | 0b439de3f0c9c3ea048c443c92435d6c | e6cb64b167b83be980ad72800c8612176c2a9cccf78e35d6d9f68b8f2a76658f |
[
{
"role": "user",
"content": "Mid semesters are nearly here. In order to pass the time waiting for the question paper malfunctions, the students have organized a betting pool on students that will pass the semester and the students that will fail. \n\nStudents place their bets on the sum of the students tha... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 2 | 8c79e1d935d02ecee8568b394be78e89 | bb61add0bcea5f0d86dfc19dd4e5e9862cc7f71f74b8a106406df5eac417cf00 |
[
{
"role": "user",
"content": "In one well-known algorithm of finding the k-th order statistics we should divide all elements into groups of five consecutive elements and find the median of each five. A median is called the middle element of a sorted array (it's the third largest element for a group of five)... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 3 | 5347a203f6160e4fb583101688428baa | 4a2a83b1552925d73a6fc56b8a10ee973813662bc2f1b2481be3459597c4dd6d |
[
{
"role": "user",
"content": "Damian Wayne and Carrie Kelly are classmates and best friends. Since class 5, they have been in the same section. They usually sat on the last bench so that they could chat all they want during the class. One day, during the ancient martial arts period, Master Kirigi caught the... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 0 | e358a497386961073b29c313944d3606 | a892dc4ecbae11eb0a1cafd5754bb796ed5c7e9330a0aaecd09ab4dce2664690 |
[
{
"role": "user",
"content": "The evil Bumbershoot corporation produces clones for gruesome experiments in a vast underground lab. On one occasion, the corp cloned a boy Andryusha who was smarter than his comrades. Immediately Andryusha understood that something fishy was going on there. He rallied fellow c... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 7 | 32ccfd7c4574d87e527964844b1dc96c | 2b6e9240247f064747178a1de76e8e3120d78be137b45cc18a0471477f5bc053 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a 45-year-old male kidney transplant recipient 6 months post-operation, managed on maintenance immunosuppression with tacrolimus and mycophenolate mofetil, which of the following ... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 3297fc178053758f2dc34d0152a54200beedd308f0b54a8bec75e9113c651313 | 3297fc178053758f2dc34d0152a54200beedd308f0b54a8bec75e9113c651313 |
[
{
"role": "user",
"content": "Let \\(ABCD\\) be a square and let \\(P\\) be a point inside it. The area of triangle \\(PAB\\) is \\(10\\), the area of triangle \\(PBC\\) is \\(30\\), and the area of triangle \\(PCD\\) is \\(40\\). Find the area of triangle \\(PDA\\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 70 | 808abd5185e60012428c2e683f98b3959a04143295ec1f8c4db09a48cd1c4b58 | 808abd5185e60012428c2e683f98b3959a04143295ec1f8c4db09a48cd1c4b58 |
[
{
"role": "user",
"content": "In the plane, two lines $a$ and $b$ are given, along with two points $A$ and $B$. Point $X$ moves along line $a$, and point $Y$ moves along line $b$ such that $AX \\parallel BY$. Find the locus of the intersection points between lines $AY$ and $XB$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 35 | b6ff1607c9c7276309f1bcfedc5cb2fdc2d1c615fe40c3331cb93107041c9f1a | b6ff1607c9c7276309f1bcfedc5cb2fdc2d1c615fe40c3331cb93107041c9f1a |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA 72-year-old patient exhibits symmetrical sensorineural hearing loss. Histopathological examination of temporal bones shows significant atrophy of the stria vascularis with minimal ... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | f5d3ff4c67dd778d2ce5a69bf0c1f0e866cef3fb5e69e5485367be0ec6142045 | f5d3ff4c67dd778d2ce5a69bf0c1f0e866cef3fb5e69e5485367be0ec6142045 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich biological effect is most directly responsible for the long-term health risks to astronauts exposed to cosmic and galactic radiation during space missions?\n\nA: DNA damage due... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 0e0656f6c4b39412e99cbdcc8b505374e48e0cbc826257eae6dc8a3e412f0bdf | 0e0656f6c4b39412e99cbdcc8b505374e48e0cbc826257eae6dc8a3e412f0bdf |
[
{
"role": "user",
"content": "Let the circles \\( w_1 \\) and \\( w_2 \\) intersect at points \\( A \\) and \\( B \\). Find the locus of the point \\( S \\) such that \\(\\frac{\\text{Pow}(S, w_1)}{\\text{Pow}(S, w_2)} = k\\) where \\( k \\) is a constant and \\( k \\neq 1 \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 8 | c35ef824e18c9798b724613e63cada8ca3ab17ea3af0db5414b0f531338c3c4e | c35ef824e18c9798b724613e63cada8ca3ab17ea3af0db5414b0f531338c3c4e |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA 68-year-old man with idiopathic pulmonary fibrosis (IPF) develops elevated transaminases (ALT/AST >5× ULN) after 8 weeks of anti-fibrotic therapy. According to FDA-approved prescri... | science | nvidia/OpenScienceReasoning-2 | default | train | 2 | 69c939316e50545b3c76634332667467a34756829550fe941f97df70a6ff4e92 | 69c939316e50545b3c76634332667467a34756829550fe941f97df70a6ff4e92 |
[
{
"role": "user",
"content": "Let's consider a (10^9+1) × (10^9+1) field. The rows are numbered with integers from 0 to 10^9 and the columns are numbered with integers from 0 to 10^9. Let's define as (x, y) the cell located in the x-th row and y-th column.\n\nLet's call a cell (x, y) good if x \\& y = 0, th... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 5 | e2fffdda38b77aecf8c817ede8b43993 | b6e9ff937464bcd241e3d7584ec5de1327473b92d9c45e771f8f0fef235881a2 |
[
{
"role": "user",
"content": "Draw the trajectory of \\( R(\\theta) = \\frac{\\sin(\\theta)}{\\cos(2\\theta)} \\)."
}
] | math | nvidia/OpenMathReasoning | default | cot | 6 | d58107a3c3bf0f67c0707800df38fbbd8cc9f5260e4f6fd39226329d031a1f66 | d58107a3c3bf0f67c0707800df38fbbd8cc9f5260e4f6fd39226329d031a1f66 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following represents a fundamental physical limitation currently preventing the development of a wearable sensor capable of non-invasively and instantaneously detecting ... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | 1bafc05b168dcecd6484bbb47722a06e6464f560a0b1a1d59c7b8488130b6d39 | 1bafc05b168dcecd6484bbb47722a06e6464f560a0b1a1d59c7b8488130b6d39 |
[
{
"role": "user",
"content": "There is a grid with H horizontal rows and W vertical columns, and there are obstacles on some of the squares.\n\nSnuke is going to choose one of the squares not occupied by an obstacle and place a lamp on it. The lamp placed on the square will emit straight beams of light in f... | code | nvidia/OpenCodeReasoning | split_0 | split_0 | 4 | 96ad946842c0a5973115ee016ad6eeec | bf0f22c5a20a2363f2a9ce79e8cc970cde0161853d7a7b0d205ac02234d3cd46 |
[
{
"role": "user",
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a neonate with double aortic arch presenting with tracheoesophageal compression, surgical division of the smaller (usually right) arch is planned to relieve the vascular ring. Con... | science | nvidia/OpenScienceReasoning-2 | default | train | 1 | c1400790181ddcc230c2fcd5a863d4ea2e197ff3fa1853c55fa6618006f05e42 | c1400790181ddcc230c2fcd5a863d4ea2e197ff3fa1853c55fa6618006f05e42 |
[
{
"role": "user",
"content": "Given eight distinguishable rings, let $n$ be the number of possible five-ring arrangements on the four fingers (not the thumb) of one hand. The order of rings on each finger is significant, but it is not required that each finger have a ring. Find the leftmost three nonzero di... | math | nvidia/OpenMathReasoning | default | cot | 139 | 8f66950f6eacccf846913a59d9ed829af0922e13acf1222479193c9f7ac58f5d | 8f66950f6eacccf846913a59d9ed829af0922e13acf1222479193c9f7ac58f5d |
[
{
"role": "user",
"content": "Find the splitting field of the polynomial $x^3 - 2x^2 + x^2 - x + 1$."
}
] | math | nvidia/OpenMathReasoning | default | cot | 22 | 832428621e835d75d24f7c77d8eb04f79f08a6c1dfb57bafd669f58755c7ea79 | 832428621e835d75d24f7c77d8eb04f79f08a6c1dfb57bafd669f58755c7ea79 |
End of preview. Expand in Data Studio
OpenReasoning Mixed 100K
This dataset is a 100,000-row prompt-only mixture prepared for reproducing the Qwen3-1.7B on-policy distillation experiments described in arXiv:2607.15161.
This is an independent reproduction artifact, not an official dataset release from the paper authors.
Composition
| Domain | Rows | Upstream dataset | Config / split |
|---|---|---|---|
| Math | 33,334 | nvidia/OpenMathReasoning |
default / cot |
| Science | 33,333 | nvidia/OpenScienceReasoning-2 |
default / train |
| Code | 33,333 | nvidia/OpenCodeReasoning |
split_0 / split_0 |
Only question text and provenance metadata are retained. Upstream answers and reasoning traces are not included.
Fields
messages: one-message chat record containing the user questiondomain:math,science, orcodesource_dataset: upstream Hugging Face dataset IDsource_config: upstream dataset configsource_split: upstream splitsource_shard: sampled upstream Parquet shard indexsource_id: stable source-row/problem identifier used by the builderprompt_sha256: SHA-256 of the prompt text
Construction
- Seed:
42 - Sampling: balanced allocation over randomly ordered Parquet shards, followed by random row-group and row selection within each shard
- Maximum selected source shards per domain:
12 - Quality filtering: none
- Length filtering: none
- Prompt deduplication: none
- Answers and reasoning traces retained: no
The exact construction manifest is included as manifest.json.
Duplicate prompts
The dataset contains 74,644 unique prompt hashes and 25,356 duplicate prompt rows. Most duplicates come from upstream reasoning datasets containing multiple solution traces for the same underlying question. They are intentionally preserved to match the row-sampling interpretation used by this reproduction.
In particular, the code portion contains 33,333 rows but 10,538 unique prompts.
Users who require unique problems should deduplicate using prompt_sha256.
Upstream revisions
nvidia/OpenMathReasoning:d3d08664755704f422af97d43a7ff0ded4bd95dfnvidia/OpenScienceReasoning-2:174b02c9cdf231f220765b2a1d5ece4550921894nvidia/OpenCodeReasoning:20a1ca19c0d050fe9057fc08339d6b370ec1c67a
Usage
from datasets import load_dataset
dataset = load_dataset("YangyiH/openreasoning_mixed_100k", split="train")
Licensing and attribution
This repository redistributes prompt text derived from the three upstream NVIDIA datasets listed above. Review and comply with each upstream dataset card, license, terms, and source attribution requirements before use or redistribution. No single new license is asserted here over upstream content.
Limitations
- The paper authors have not released the exact data-mixing implementation.
- The mixture preserves duplicate prompts and should not be interpreted as 100,000 unique questions.
- No additional quality, difficulty, contamination, or prompt-length filtering was applied.
- The mixture has not been audited for all possible benchmark overlap or sensitive content inherited from upstream sources.
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