json_metadata stringclasses 21 values | num_tokens int64 4.1k 16.4k | conversations listlengths 2 32 |
|---|---|---|
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 8,037 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider a microbial system with the following metabolic network for central carbon metabolism: \nGlycolysis: Glc → 2 Pyr \nPDH: Pyr → AcCoA \nTCA Cycle: AcCoA + Oxa → Cit → ... → Mal → Fum → Suc → .... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 15,261 | [
{
"content": "Let \\( f(x) = |||x-2|-5|-a| \\). Find the number of integral values of \\( a \\) for which \\( f(x) \\) has exactly 7 critical points.",
"role": "user"
},
{
"content": "<think>\nI need to solve for the number of integral values of \\( a \\) such that the function \\( f(x) = |||x-2|-5|... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v2", "split": "chat", "license": "CC BY 4.0"} | 10,433 | [
{
"content": "Using this p5.js code, this is a game for dragging letters from words into the correct order. The number of letters from the word is represented by black boxes, and letters are placed randomly on the screen for the user to drag into the correct place. My problem is that after I drag the letter int... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 16,061 | [
{
"content": "Let $f(x)=ax^2+bx+c$, where $a$, $b$ and $c$ are positive integers.\nGiven that $f(1)+f(2)+\\cdots+f(n)=2017n$, determine\n$f(1)+f(2)+\\cdots+f(2017)$.",
"role": "user"
},
{
"content": "<think> Alright, so I have this problem here about a quadratic function f(x) = ax² + bx + c, where a... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 5,785 | [
{
"content": "Evaluate the limit \\(\\lim_{x\\to0}\\left(\\frac{\\sin x}{x}\\right)^{\\frac{1}{x^{2}}}\\).",
"role": "user"
},
{
"content": "<think>\nI need to evaluate \\(\\lim_{x\\to0}\\left(\\frac{\\sin x}{x}\\right)^{\\frac{1}{x^{2}}}\\). I know that \\(\\lim_{x\\to0} \\frac{\\sin x}{x} = 1\\), ... |
{"source": "Intelligent-Internet/II-Medical-Reasoning-SFT", "license": "null"} | 4,320 | [
{
"content": "What are the boundaries of carotid triangle except the anterior belly of Digastric?",
"role": "user"
},
{
"content": "<think>\n\nOkay, so I need to figure out the boundaries of the carotid triangle, but exclude the anterior belly of the digastric muscle. Let me start by recalling what ... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 4,878 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following statements is true regarding the chemical reactions of combustion and photosynthesis?\nA: Combustion reactions typically occur without the presence of oxygen.\nB: Photosynthesis r... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 8,983 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider the reaction: \\( X(g) + 2Y(g) \\rightarrow 3Z(g) \\). The standard Gibbs free energy change \\( \\Delta G^\\circ \\) for this reaction at 298 K is -20 kJ/mol. If the standard Gibbs free energy... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 8,653 | [
{
"content": "In triangle $ABC$ with $AC = BC$ and $\\angle ACB = 96^\\circ$, point $D$ is such that $\\angle DAB = 18^\\circ$ and $\\angle DBA = 30^\\circ$. What is the measure of $\\angle ACD$ in degrees?",
"role": "user"
},
{
"content": "<think>\nI am considering this geometry problem. We have a ... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 15,742 | [
{
"content": "A box contains a certain number of red and blue marbles, with an unknown ratio of red to blue. When two marbles are drawn randomly from the box, the probability of drawing one red and one blue marble is 3/5. Determine the expected number of red marbles in a sample of 10 marbles drawn randomly from... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 5,668 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following scenarios would most likely be considered a valid exercise of Congress's power under the Commerce Clause?\nA: A federal law requiring all businesses, regardless of their size or i... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v2", "split": "chat", "license": "CC BY 4.0"} | 13,374 | [
{
"content": "As we delve into enhancing the auditory experience and adding further dimensions to our project, we can indeed integrate a varying duration influenced by chaos theory. This would allow the length of each tone or chord to subtly shift in an unpredictable but controlled manner, contributing to the s... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 12,141 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a Dötz Reaction involving a chiral alkoxy-substituted benzyl alcohol derivative, the chromium carbene intermediate undergoes a stereoselective transformation leading to the formation of a specific di... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 10,155 | [
{
"content": "In a quadrangle $ABCD$, points $M$ and $N$ are the midpoints of sides $AB$ and $CD$, respectively. Given that $AB=5$, $BC=2$, $CD=7$, and $AN=CM$, find the length of $AD$.",
"role": "user"
},
{
"content": "<think>\nI have a geometry problem. We have a quadrangle ABCD with points M and ... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 6,788 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider the following logical statements:\n\n1. If the alarm is set, then the light will turn on. (A → L)\n2. If the light is not on, then the door is unlocked. (¬L → ¬D)\n3. If the door is locked, the... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 15,388 | [
{
"content": "Find the polynomial \\( P(x) \\) such that \\((x^2-6x+8)P(x) - (x^2+2x)P(x-2) = 6x^2 - 12x\\).",
"role": "user"
},
{
"content": "<think>\nI need to solve for the polynomial \\( P(x) \\) in the equation \\((x^2 - 6x + 8)P(x) - (x^2 + 2x)P(x-2) = 6x^2 - 12x\\). I must box my final answer... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 10,611 | [
{
"content": "Let \\( P(x) \\) be a polynomial of degree \\( n \\) such that \\( P(i) = 2^i \\) for \\( i = 0, 1, 2, \\ldots, n \\). Find \\( P(n+1) \\).",
"role": "user"
},
{
"content": "<think>\nI have this problem: Let \\( P(x) \\) be a polynomial of degree \\( n \\) such that \\( P(i) = 2^i \\) ... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 6,004 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following statements about the human circulatory system and its interactions with other physiological systems is true?\nA: The heart pumps blood directly to the liver for detoxification bef... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 4,231 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of improving patient satisfaction in a hospital setting, which of the following strategies is most effective while maintaining high-quality care?\nA: Reducing the number of staff to incre... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 5,894 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nAn implantable electrochemical biosensor is designed for continuous glutamate monitoring in the rat prefrontal cortex. The target concentration range is 1-100 µM, with required temporal resolution of 10... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 14,157 | [
{
"content": "If the sum of two 5-digit integers has 7 digits, then their difference has at most how many digits?",
"role": "user"
},
{
"content": "<think> Okay, so I have this problem here: \"If the sum of two 5-digit integers has 7 digits, then their difference has at most how many digits?\" Hmm, ... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 14,969 | [
{
"content": "Find the sum of all positive integers $n$ for which $n^3-27n^2+33n+1$ is a perfect cube.",
"role": "user"
},
{
"content": "<think> Okay, so I have this problem here: Find the sum of all positive integers \\( n \\) for which \\( n^3 - 27n^2 + 33n + 1 \\) is a perfect cube. Hmm, interest... |
{"source": "CohereLabs/xP3x", "subset": "vie_Latn", "license": "apache-2.0"} | 4,324 | [
{
"content": "นักจิตวิทยากล่าวว่า มันมีพื้นที่แห่ง “ความกังวลที่ให้ผลลัพธ์ที่ดีที่สุด” (หรือที่รู้จักกันว่า “ความอึดอัดใจที่ทำให้เกิดประสิทธิภาพ”) ที่อยู่ถัดจากพื้นที่ปลอดภัยแค่นิดเดียว ทฤษฎีที่อยู่เบื้องหลังเรื่องความกังวลที่ให้ผลลัพธ์ที่ดีที่สุดคือ จริงๆ แล้วการปรากฏของความกังวลในระดับที่จำกัดจะช่วยเพิ่มประสิ... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 5,274 | [
{
"content": "So you managed to build a stable traversable wormhole. Somehow you managed to acquire the exotic negative-tension materials with sufficient densities to make it all work. \nNow you place opening A of the wormhole deep inside a gravitational well, and the other opening B far outside that well.\nWha... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 7,831 | [
{
"content": "Given a $C^1$ function $f$, for $x \\in \\mathbb{R}$ define \n\n\\[ F(x) = \\int_x^{x+1} \\int_x^y f(z) \\, dz \\, dy. \\]\n\nCompute $F''(x)$ (i.e., express it without using integrals).",
"role": "user"
},
{
"content": "<think>\nI need to compute the second derivative of F(x), where F... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 6,927 | [
{
"content": "Given the incorrect average accuracies for 10 variations of a model, where the average for variation $n$ includes the trials for all variations $k$ where $k < n$, find the real accuracies for each variation. The incorrect average accuracies are as follows:\n\n\\[ [86.83544254764824, 89.18959108447... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 15,698 | [
{
"content": "How many subsets of $\\{W, I, N, A, R, M, L, 2, 0, 1, 7\\}$ satisfy the following conditions?\na) It has more odd numbers than even numbers,\nb) It has more consonants than vowels,\nc) It has more letters than numbers.",
"role": "user"
},
{
"content": "<think>\nI need to find how many ... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 12,483 | [
{
"content": "Find infinitely many solutions to the equation \\(x^2 + y^2 + z^2 = 3xyz\\).",
"role": "user"
},
{
"content": "<think>\nI need to find infinitely many solutions to the equation \\(x^2 + y^2 + z^2 = 3xyz\\). It looks challenging, but I recall that equations like this might relate to num... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 16,191 | [
{
"content": "Determine all functions \\( f : \\mathbb{R} \\to \\mathbb{R} \\) such that for all \\( x, y \\in \\mathbb{R} \\) the following holds:\n\\[ f(f(x) + 2f(y)) = f(2x) + 8y + 6. \\]",
"role": "user"
},
{
"content": "<think>\nI need to solve this functional equation: find all functions \\( f... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 4,540 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a mechatronic system designed for autonomous navigation, consider a scenario where a robot must integrate sensor data from a LiDAR system, an IMU (Inertial Measurement Unit), and a GPS module to accu... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 9,210 | [
{
"content": "Find the value of\n\\[\n\\frac{1}{\\sin^2\\left(\\frac{\\pi}{14}\\right)} + \\frac{1}{\\sin^2\\left(\\frac{3\\pi}{14}\\right)} + \\frac{1}{\\sin^2\\left(\\frac{5\\pi}{14}\\right)}\n\\]",
"role": "user"
},
{
"content": "<think>\nI need to find the value of this expression:\n\n\\[\\frac{... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 9,189 | [
{
"content": "Solve the equation $4x^4 + 3x^2 + 9 = 0$.",
"role": "user"
},
{
"content": "<think>\nI need to solve \\(4x^4 + 3x^2 + 9 = 0\\). It's a quartic equation, but it looks like it might be a quadratic in disguise. Let me set \\(y = x^2\\). Then the equation becomes:\n\n\\[4y^2 + 3y + 9 = 0\\... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 11,760 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider a perfectly conducting spherical shell of radius \\( R \\) placed in a uniform time-varying magnetic field \\( \\mathbf{B} \\) given by:\n\\[\n\\mathbf{B} = B_0 \\sin(\\omega t) \\hat{z}\n\\]\n... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 6,540 | [
{
"content": "Evaluate the integral \\( \\int_0^{\\infty} \\frac{|x-1|}{(x+1)(x^2+1)} \\, dx \\).",
"role": "user"
},
{
"content": "<think>\nI need to evaluate the integral: \\( \\int_0^{\\infty} \\frac{|x-1|}{(x+1)(x^2+1)} dx \\). The absolute value suggests splitting the integral at x=1, where th... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 5,843 | [
{
"content": "There are two spherical balls of different sizes lying in two corners of a rectangular room, each touching two walls and the floor. If there is a point on each ball which is 5 inches from each wall which that ball touches and 10 inches from the floor, then what is the sum of the diameters of the b... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 4,989 | [
{
"content": "Simplify $\\sqrt[3]{i}$ using only algebra.",
"role": "user"
},
{
"content": "<think>\nI need to simplify \\(\\sqrt[3]{i}\\) using only algebra. The cube root of \\(i\\), where \\(i\\) is the imaginary unit, so \\(i^2 = -1\\). I need to find a complex number \\(z\\) such that \\(z^3 = ... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 8,379 | [
{
"content": "Calculate \\( S_n = \\sum_{r=0}^n 2^{r-2n} \\binom{2n-r}{n} \\).",
"role": "user"
},
{
"content": "<think>\nI need to calculate the sum \\( S_n = \\sum_{r=0}^n 2^{r-2n} \\binom{2n-r}{n} \\). It looks complex, but I might simplify it or find a pattern.\n\nFirst, I notice the binomial co... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 10,175 | [
{
"content": "A group of friends want to share some juice equally among themselves using cups of different sizes. If they use only 5 oz cups, they need exactly 7 cups to share the juice equally. However, if they use only 3 oz cups, they need exactly 10 cups. How many friends are there?",
"role": "user"
},... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 14,872 | [
{
"content": "Non-intersecting diagonals of two adjacent lateral faces of a rectangular parallelepiped are inclined to its base at angles $\\alpha $ and $\\beta $. Find the angle between these diagonals.",
"role": "user"
},
{
"content": "<think>\nThe problem involves a rectangular parallelepiped, wh... |
{"source": "voidful/reasoning_gemini_300k", "license": "null"} | 4,414 | [
{
"content": "A whole number is called decreasing if each digit of the number is less than the digit to its left. For example, 8540 is a decreasing four-digit number. How many decreasing numbers are there between 100 and 500?\n(A) 11\n(B) 10\n(C) 9\n(D) 8\n(E) 7",
"role": "user"
},
{
"content": "<th... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 12,366 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of synchrotron radiation, which of the following statements correctly describes the relationship between the observed synchrotron emission spectrum and the energy distribution of relativi... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 6,495 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider the electrochemical cell with the following half-reactions:\nAnode: \\( \\text{Fe}(s) \\rightarrow \\text{Fe}^{2+}(aq) + 2e^- \\)\nCathode: \\( \\text{Ag}^+(aq) + e^- \\rightarrow \\text{Ag}(s)... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 13,473 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA hydrogen atom emits an IR photon corresponding to the Paschen series, where the electron transitions from an initial energy level $ n_2 > 3 $ to $ n_1 = 3 $. If the wavelength of the emitted photon is... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 11,633 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA company is planning to allocate its advertising budget among four different mediums: television, radio, social media, and print. The goal is to maximize the reach while adhering to the following const... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 11,143 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA synthetic biology facility claims their automated phosphoramidite-based DNA synthesizer achieves an industry-leading average stepwise coupling efficiency of 99.8% and can theoretically build sequences... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 9,291 | [
{
"content": "Evaluate the definite integral $\\int_0^{\\frac{\\pi}{2}} \\frac{\\sin^2 x}{a^2 \\sin^2 x + b^2 \\cos^2 x} \\, \\mathrm{dx}$, where $a > 0$, $b > 0$, and $a \\ne b$.",
"role": "user"
},
{
"content": "<think>\nI need to evaluate the integral: \\(\\int_0^{\\frac{\\pi}{2}} \\frac{\\sin^2 ... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 4,794 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of advanced imaging techniques and their applications, consider a scenario where a patient presents with suspected metastatic disease involving the brain, liver, and bones. Which of the f... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 5,988 | [
{
"content": "Construct the midpoint of a segment using an unmarked ruler and a trisector that marks the two points dividing the segment into three equal parts.",
"role": "user"
},
{
"content": "<think>\nI need to construct the midpoint of a segment using only an unmarked ruler and a trisector. The ... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 4,111 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a laser system, consider the process of stimulated emission. Which of the following statements correctly describes a scenario involving the population inversion and stimulated emission in a three-lev... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 7,780 | [
{
"content": "How many arrangements of the word $\\bf{LOCKUP}$ are there such that neither $\\bf{LOCK}$ nor $\\bf{UP}$ appear as a contiguous substring?",
"role": "user"
},
{
"content": "<think>\nI need to find how many arrangements of the word \"LOCKUP\" don't have \"LOCK\" or \"UP\" as contiguous ... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 9,843 | [
{
"content": "Solve for integers \\(x\\) and \\(y\\) in the equation \\((3^x - 2^y)^2 = 1\\).",
"role": "user"
},
{
"content": "<think>\nI need to solve \\((3^x - 2^y)^2 = 1\\) for integers \\(x\\) and \\(y\\). Since it's a square equal to 1, the expression inside must be either 1 or -1. So, I can w... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 11,449 | [
{
"content": "Suppose \\(a\\) and \\(b\\) are real numbers that satisfy the system of equations \n\\[ a + b = 9, \\]\n\\[ a(a-2) + b(b-2) = 21. \\]\nWhat is \\(ab\\)?",
"role": "user"
},
{
"content": "<think>\nI have this system of equations:\n\n1. \\( a + b = 9 \\)\n\n2. \\( a(a-2) + b(b-2) = 21 \\... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 14,910 | [
{
"content": "If $x^2+3x+1\\equiv 0\\pmod{25}$, then $x^3+2x^2-4x-3$ is congruent $\\pmod{25}$ to what integer between $0$ and $24$, inclusive?",
"role": "user"
},
{
"content": "<think> Alright, so I have this problem here: If \\(x^2 + 3x + 1 \\equiv 0 \\pmod{25}\\), then I need to find what \\(x^3 ... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 10,943 | [
{
"content": "Solve the differential equation $$y''(x) + \\lambda y(x) = 0$$ subject to the boundary conditions $$y'(\\log \\pi) = 0 \\quad \\text{and} \\quad y'(e) = 0$$ for $$\\log \\pi \\leq x \\leq e$$.",
"role": "user"
},
{
"content": "<think>\nI have this differential equation to solve: \\( y'... |
{"source": "voidful/reasoning_gemini_300k", "license": "null"} | 14,143 | [
{
"content": "Xiao Wu, Xiao Yi, Xiao Jie, Xiao Kuai, and Xiao Le are standing in a row. If Xiao Yi does not appear in the first or last position, and among Xiao Wu, Xiao Jie, and Xiao Le, exactly two are adjacent, how many different arrangements satisfy these conditions?",
"role": "user"
},
{
"conte... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 13,416 | [
{
"content": "Find solutions to the equation \\((x_1)^k + \\cdots + (x_n)^k = (x_0)^k - 1\\) for natural numbers \\(k, n\\) and a sequence of natural numbers \\(x_0, x_1, x_2, \\ldots, x_n\\).",
"role": "user"
},
{
"content": "<think>\nI need to solve \\((x_1)^k + \\cdots + (x_n)^k = (x_0)^k - 1\\) ... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 9,172 | [
{
"content": "A mark is placed on the perimeter of a wheel where it touches the road. The wheel is rolled along the road without skidding through less than half a rotation. The mark has advanced horizontally from its starting position by \\( x \\). Given \\( x \\) and the radius of the wheel \\( r \\), what is ... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 7,935 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nLet \\( V \\) be a finite-dimensional vector space over \\( \\mathbb{R} \\) with a basis \\( \\{v_1, v_2, \\ldots, v_n\\} \\). Suppose \\( T: V \\to V \\) is a linear transformation such that \\( T(v_i)... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 14,596 | [
{
"content": "A five-digit number has a digit 7 in the tens place and a digit 4 in the units place. The remaining three digits (the first, second, and fourth from left to right) are different, and none of them is 0, 4, or 7. How many such numbers are divisible by 72?",
"role": "user"
},
{
"content":... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 10,301 | [
{
"content": "Calculate $\\int _{C} y \\, dx + z \\, dy + x \\, dz$ where $C$ is the intersection between $z=xy$ and $x^{2}+y^{2}=1$, and the curve has a counter-clockwise direction when viewed from the $xy$-plane.",
"role": "user"
},
{
"content": "<think>\nI need to calculate the line integral \\(\... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 13,912 | [
{
"content": "Find the sum of $\\gcd(i, j) \\gcd(j, k)$ over all triples of positive integers $(i, j, k)$ such that $ijk = 2020^2$.",
"role": "user"
},
{
"content": "<think>\nI need to find the sum of \\(\\gcd(i, j) \\gcd(j, k)\\) for all triples of positive integers \\((i, j, k)\\) such that \\(i j... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 12,479 | [
{
"content": "If \\( f(x) \\) is a fifth-degree polynomial and the values of \\( f(x) \\) at \\( x = 0, 1, 2, 3, 4, 5 \\) are given as \\( f(0) = 3 \\), \\( f(1) = 5 \\), \\( f(2) = 6 \\), \\( f(3) = 10 \\), \\( f(4) = 11 \\), and \\( f(5) = 12 \\), find \\( f(6) \\).",
"role": "user"
},
{
"content"... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 11,945 | [
{
"content": "Let \\( p \\) and \\( q \\) be prime numbers such that \\( p > 2q \\). Consider the sequence \\( \\{a_n\\} \\) defined by \\( a_n = p^n - 4(-q)^n \\) for \\( n = 1, 2, 3, \\ldots \\). Find the smallest value of \\( pq \\) such that all \\( a_n \\) are multiples of 3.",
"role": "user"
},
{
... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 5,672 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of the genetic code and translation, consider a hypothetical scenario where a new codon, UGA, has been reassigned from a stop codon to code for the amino acid selenocysteine in certain sp... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 13,813 | [
{
"content": "In the Cartesian plane, the graph of $y=|x-5|$ intersects the graph of $y=|x-3|+|x-4|$ in exactly one point. Find all possible values of $x$.\n\n(Note: I've created a problem that requires a different approach, using absolute value functions in the Cartesian plane, rather than complex numbers and ... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 14,544 | [
{
"content": "Let \\( f \\) be a twice differentiable real-valued function on \\([0, \\infty)\\) such that \\( f(0) = 1 \\), \\( f'(0) = 0 \\), and \\( f(x)f''(x) = 1 \\) for all positive \\( x \\). Find\n\\[\n\\lim_{x \\to \\infty} \\frac{f(x)}{x \\sqrt{\\ln x}}.\n\\]",
"role": "user"
},
{
"content... |
{"source": "CohereLabs/xP3x", "subset": "tha_Thai", "license": "apache-2.0"} | 4,461 | [
{
"content": "การพูดเรื่องเซ็กส์ล่วงหน้าอาจช่วยให้คุณและคนที่คุณถูกใจสบายใจในกันและกันมากขึ้น ถ้าคุณกำลังคบใครอยู่ ให้ถามเขาว่าเมื่อไหร่ความสัมพันธ์ควรจะเข้าสู่ขั้นถัดไป เขารู้สึกอย่างไรเกี่ยวกับเซ็กส์ และอะไรที่เขาชอบและไม่ชอบ ลองถามว่า “เมื่อไหร่ที่คุณคิดว่าคนเป็นแฟนกันควรจะเริ่มมีเซ็กส์กันได้แล้ว เราน่าจะมา... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v2", "split": "chat", "license": "CC BY 4.0"} | 4,342 | [
{
"content": "function scene1() {\n background(0);\n image(img1, width / 2, height / 2);//场景背景1\n//添加声音传感器的检测\nif (millis() - soundTime > 5000 && !text2Displayed && soundDetected) {\n //停顿五秒后显示提示信息\n text(text2, width / 2, height * 0.8);\n text2Displayed = true;\n soundDetected = false; //重置声音检测变量，等待下一次声音... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 14,925 | [
{
"content": "Find the smallest base in which the number $232_{10}$ is represented using only digits 0, 1, and 2.",
"role": "user"
},
{
"content": "<think> Okay, so I need to find the smallest base where the number 232 in base 10 is represented using only the digits 0, 1, and 2. Hmm, let me think ab... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 6,940 | [
{
"content": "How many numbers from $1$ to $999$ have at least one $7$ in their decimal representation?",
"role": "user"
},
{
"content": "<think>\nI need to find how many numbers from 1 to 999 have at least one digit that is 7 in their decimal representation. The answer should be boxed at the end.\n... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 4,275 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn stem cell therapy for acute kidney injury, mesenchymal stem cells (MSCs) are hypothesized to primarily promote renal repair through a specific paracrine mechanism involving damaged tubular epithelial... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 13,908 | [
{
"content": "Evaluate the sum \\(\\sum_{k=1}^{\\infty} \\frac{\\sin k\\theta}{k^3}\\) for \\(0 \\leq \\theta \\leq 2\\pi\\).",
"role": "user"
},
{
"content": "<think>\nI need to evaluate the sum \\(\\sum_{k=1}^{\\infty} \\frac{\\sin k\\theta}{k^3}\\) for \\(0 \\leq \\theta \\leq 2\\pi\\). It looks ... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 8,248 | [
{
"content": "Solve the equation $$\\frac{x^2}{3}+\\frac{48}{x^2}=10\\left(\\frac{x}{3}-\\frac{4}{x}\\right).$$",
"role": "user"
},
{
"content": "<think>\nI need to solve \\(\\frac{x^2}{3} + \\frac{48}{x^2} = 10 \\left( \\frac{x}{3} - \\frac{4}{x} \\right)\\). First, I'll simplify it. I see that bot... |
{"source": "CohereLabs/aya_dataset", "license": "apache-2.0"} | 4,323 | [
{
"content": "రష్యా గురించి ట్రంప్ ఏమన్నారు?\n\nజీ7 సభ్యదేశాల సంఖ్య తగ్గిపోవడంపై ట్రంప్ విచారం వ్యక్తం చేశారు. \n\n''మనకు ఇష్టం ఉన్నా లేకున్నా, అది సరైన నిర్ణయం కాదు. ఇది ఒకప్పుడు జీ8గా ఉండేది. అప్పట్లో రష్యా కూడా ఇందులో ఉండేది. ఇప్పుడు రష్యా లేకుండా ఈ మీటింగ్ ఏంటి? ఈ మీటింగ్లో రష్యా కూడా ఉండాలి. మీకు నచ్చినా ... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 5,249 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA 72-year-old female with type 2 diabetes and stage 3 chronic kidney disease presents with severe neuropathic pain in her right foot following shingles infection 18 months ago (postherpetic neuralgia). ... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 4,468 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA patient with a 3.5 cm dopamine agonist-resistant prolactin-secreting macroadenoma with suprasellar extension compressing the optic chiasm undergoes endoscopic endonasal transsphenoidal surgery. Intrao... |
{"source": "CohereLabs/xP3x", "subset": "tha_Thai", "license": "apache-2.0"} | 4,238 | [
{
"content": "First, read the Thai article below.\n\nก่อนที่คุณจะเริ่มรักษาตะคริวด้วยการยืดเส้น คุณจำเป็นต้องรู้ก่อนว่ากล้ามเนื้อส่วนไหนที่เป็นตะคริวอยู่ ต้นขามีกล้ามเนื้อหลายส่วนที่สามารถเป็นตะคริวได้ การรู้ว่ากล้ามเนื้อต้นขาหลักส่วนไหนที่เป็นตะคริวจะช่วยให้คุณยืดเส้นได้ประสิทธิภาพมากที่สุด ซึ่งปกติแล้วควรจะให... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 6,596 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider an image represented in a 4-channel format (Red, Green, Blue, Alpha) with each channel using 8 bits per pixel. The image is then converted into a grayscale image by a specific weighted combinat... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 15,560 | [
{
"content": "Let $ABCDEF$ be a regular hexagon and let point $P$ lie on line $AF$ such that $\\angle PCD = 45^\\circ$. Find the measure of angle $FPE$.",
"role": "user"
},
{
"content": "<think>\nI have a geometry problem. We have a regular hexagon ABCDEF, and a point P on the line AF such that angl... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 15,200 | [
{
"content": "Anthracene \\((C_{14}H_{10})\\) can be oxidised anodically to anthraquinone \\((C_{14}H_{8}O_2)\\). What weight of anthraquinone can be produced by passage of a current of 1 ampere for 60 minute if current efficiency in 80%?",
"role": "user"
},
{
"content": "<think> Okay, so I need to ... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 10,640 | [
{
"content": "Two points \\( A = (x_1, y_1) \\) and \\( B = (x_2, y_2) \\) lie on the graph \\( y^2 = 6x \\). The perpendicular bisector of \\( AB \\) meets the \\( x \\)-axis at point \\( C \\). Given that \\( x_1 \\neq x_2 \\) and \\( x_1 + x_2 = 4 \\), what is the maximum area of \\( \\triangle ABC \\)?",
... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 16,105 | [
{
"content": "Let $f(x)=3x^4+7x^3+11x^2+7x+3$. Determine the sum of all real numbers $n$ for which $f(n)=f(1)+f(2)$.",
"role": "user"
},
{
"content": "<think> Okay, so I need to find the sum of all real numbers n where f(n) equals f(1) plus f(2). The function given is f(x) = 3x⁴ + 7x³ + 11x² + 7x + ... |
{"source": "Intelligent-Internet/II-Medical-Reasoning-SFT", "license": "null"} | 4,433 | [
{
"content": "Does inhibition of neutrophil activation by ranitidine contribute to prevent stress-induced gastric mucosal injury in rats?\n\nA.: yes\nB.: no\nC.: maybe\n\nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "<think>\n\nOkay, let's ... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 4,993 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a bioreactor monitoring application using a single-pass transmission NIR probe (700-2500 nm), which of the following analytes is fundamentally **most challenging** to quantify directly due to inheren... |
{"source": "Intelligent-Internet/II-Medical-Reasoning-SFT", "license": "null"} | 4,173 | [
{
"content": "Separation of first polar body occurs at the time of:September 2007, March 2012\na. Feilization\nb. Ovulation\nc. Implantation\nd. Menstruation\n\nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "<think>\n\nOkay, so I need to fig... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 4,132 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich economic concept describes the phenomenon where increased market competition leads to lower prices and improved products for consumers?\nA: Monopoly\nB: Oligopoly\nC: Perfect Competition\nD: Monop... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 7,364 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following elements has a face-centered cubic (fcc) crystal structure at room temperature?\nA: Aluminum (Al)\nB: Iron (Fe)\nC: Sodium (Na)\nD: Copper (Cu)\nE: Chromium (Cr)\nF: Potassium (K)... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 4,751 | [
{
"content": "Evaluate the integral $\\int_{0}^{\\frac{\\pi}{4}} (\\cos^{6}{x}+\\sin^{6}{x})dx$.",
"role": "user"
},
{
"content": "<think>\nI need to evaluate the integral: \\(\\int_{0}^{\\frac{\\pi}{4}} (\\cos^{6}{x} + \\sin^{6}{x}) dx\\). I'll box my final answer. First, I recall that integrating... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 15,416 | [
{
"content": "For positive integers $n$, let $f(n)$ denote the remainder when $n^n$ is divided by $800$. What is the smallest integer $N$ such that there exist distinct positive integers $a,b,c \\geq N$ satisfying $f(a)=f(b)=f(c)$?",
"role": "user"
},
{
"content": "<think> Okay, so I need to find th... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 10,573 | [
{
"content": "How many triples $(x, y, z)$ of positive integers satisfy the equation $x^{y^z} y^{z^x} z^{x^y} = 3xyz$?",
"role": "user"
},
{
"content": "<think>\nI need to solve for the number of triples \\((x, y, z)\\) of positive integers that satisfy \\(x^{y^z} y^{z^x} z^{x^y} = 3xyz\\). It looks... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 14,637 | [
{
"content": "Given \\( A \\in GL_{r-1}(\\mathbb{C}) \\) such that:\n1. \\( A^r = I \\) (where \\( r \\) is the smallest positive integer for which this holds),\n2. \\( \\sum_{k=0}^{r-1} A^k = 0 \\),\n\ndescribe a possible representation of \\( A \\) and determine its spectrum or eigen-polynomial.",
"role":... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 14,990 | [
{
"content": "A man ordered a specific number of duck eggs and received exactly that number. He needs to go up to the 23rd floor using the stairs because the elevator is out of order. At each floor, a guard takes half of the eggs he is carrying and returns one egg. How many eggs must he initially have to ensure... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 8,416 | [
{
"content": "Starting with \\( x = 0 \\), a random rational number between \\( 0 \\) and \\( 1 \\) is generated and added to \\( x \\). This process is repeated until \\( x > 1 \\). What is the expected number of times a random number between \\( 0 \\) and \\( 1 \\) must be added to \\( x \\) for \\( x \\) to ... |
{"source": "Intelligent-Internet/II-Medical-Reasoning-SFT", "license": "null"} | 5,099 | [
{
"content": "Most common intraabdominal solid tumor in children\n\nA.: Wilms tumor (Nephroblastoma)\nB.: Neuroblastoma\nC.: RCC\nD.: All of the above\n\nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "<think>\n\nOkay, so the question is aski... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 14,633 | [
{
"content": "Solve for $x$: $x^{x^{x^{x^{\\cdots}}}} = 16$",
"role": "user"
},
{
"content": "<think>\nI need to solve \\( x^{x^{x^{x^{\\cdots}}}} = 16 \\) for \\( x \\). This is an infinite power tower, which can be tricky. Let me denote the entire expression by \\( y \\), so \\( y = x^{x^{x^{x^{\\... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 10,091 | [
{
"content": "Let \\( Z = a + bi \\) where \\( a, b \\in \\mathbb{R} \\). If \\( |Z| = 2|a| \\) and \\( b \\) is equal to the polar angle of \\( Z \\) as measured in radians (\\( 0 \\leq b \\leq 2\\pi \\)) from the x-axis, what is the sum of all possible \\( Z \\)?",
"role": "user"
},
{
"content": "... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 9,561 | [
{
"content": "Evaluate the integral $$I=\\int_{|z|=2} \\frac{z^3 e^{\\frac{1}{z}}}{z+1}dz$$ and find the residues at the poles $z_0 = -1$ and $z_1 = 0$.",
"role": "user"
},
{
"content": "<think>\nI need to evaluate the integral \\( I = \\int_{|z|=2} \\frac{z^3 e^{\\frac{1}{z}}}{z+1} dz \\) and find... |
{"source": "nvidia/Nemotron-Post-Training-Dataset-v1", "split": "math", "license": "CC BY 4.0"} | 6,849 | [
{
"content": "Let \\( u \\) be a vector perpendicular to both \\( v \\) and \\( w \\). Given that \\( v \\) and \\( w \\) form an angle of 30 degrees, and \\( |u| = 6 \\), \\( |v| = 3 \\), and \\( |w| = 3 \\), compute \\( u \\cdot (v \\times w) \\).",
"role": "user"
},
{
"content": "<think>\nI need ... |
{"source": "open-thoughts/OpenThoughts3-1.2M", "license": "apache-2.0"} | 15,314 | [
{
"content": "Let $p(x)$ be a polynomial with integer coefficients such that $p(17) = 25$, $p(25) = 17$, and for all integers $n$, $p(n) \\equiv n\\pmod{21}$.\nWhat is $p(0)$?",
"role": "user"
},
{
"content": "<think> Okay, so I have this problem here: there's a polynomial \\( p(x) \\) with integer ... |
{"source": "nvidia/OpenScienceReasoning-2", "license": "CC BY 4.0"} | 4,173 | [
{
"content": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIndustrial archaeology frequently utilizes stratified sediment core analysis to pinpoint the onset of industrial-era environmental contamination. When investigating coal-derived pollutants linked to the... |