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M1_dataset_014975
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Let $n=pq$ where $p$ and $q$ are prime numbers. We have:", "role": "user" }, { "content": "To derive the answer, we need to understand what the Euler's totient ...
MixtureOfThoughts:code_035462
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem. Please reason step by step about the solution, then provide a complete implementation in C++17.\n\nYour solution must r...
M1_dataset_007546
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "The training loss of the 1-nearest neighbor classifier is always zero.", "role": "user" }, { "content": "<think>\nImagine you're in a game where you have to fin...
MixtureOfThoughts:science_048136
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Why are we still alive if matter and antimatter annihilate each other?A: matter and antimatter are balanced\nB: no antimatter around\nC: antimatter is contained within atom...
MixtureOfThoughts:science_063445
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the total angular momentum of the system?A: one unit of angular momentum\nB: zero total angular momentum\nC: half unit of angular momentum\nD: two units of angular ...
MixtureOfThoughts:code_033257
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem. Please reason step by step about the solution, then provide a complete implementation in C++17.\n\nYour solution must r...
MixtureOfThoughts:science_049614
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "How does PET (polyethylene terephthalate) degrade?A: hydrolyzed\nB: thermally degraded\nC: photodegraded\nD: oxidized", "role": "user" }, { "content": "<think>\...
MixtureOfThoughts:code_019491
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:science_023053
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "How is the effectiveness of a chelating agent measured?A: Formation Constant\nB: Solubility Product\nC: pH Level\nD: Molecular Weight", "role": "user" }, { "con...
MixtureOfThoughts:science_059753
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Who experimentally determined the specific heat capacity of water?A: Cavendish\nB: Joule\nC: Newton\nD: Faraday", "role": "user" }, { "content": "<think>\nOkay,...
MixtureOfThoughts:code_022575
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:science_002139
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What phenomenon did Sir Owen Richardson's Nobel prize-winning work describe?A: Blackbody radiation\nB: Photoelectric effect\nC: Quantum tunneling\nD: Thermionic emission", ...
MixtureOfThoughts:code_046981
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:science_069324
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What explains the spherical symmetry of charge density in closed shells?A: Spherical symmetry from sum of spherical harmonics\nB: Uniform distribution of electrons in space...
M1_dataset_009384
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "If the first column of matrix L is (0,1,1,1) and all other entries are 0 then the authority values", "role": "user" }, { "content": "Certainly! Let’s approach...
MixtureOfThoughts:science_015929
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What are the units of the range \\( R \\) in the given formula?A: f\nB: s\nC: f/s^2\nD: f/s", "role": "user" }, { "content": "<think>\nOkay, so I need to figure...
MixtureOfThoughts:science_036479
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the ΔH for the reaction \\(\\ce{Mg(s) + 1/2 O2 -> MgO(s)}\\) using Hess's Law?A: -601.6 \\, \\text{kJ/mol}\nB: -460 \\, \\text{kJ/mol}\nC: -754 \\, \\text{kJ/mol}\n...
MixtureOfThoughts:science_055433
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Does the leaf length measurement for Ramosmania rodriguesii include both the lamina and petiole, or just the lamina?A: lamina and petiole\nB: petiole\nC: petiole and stalk\...
MixtureOfThoughts:code_033553
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:code_047079
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:science_029266
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What methods do scientists use to study liquid tungsten and other materials with extremely high melting points?A: electromagnetic\\ or\\ electrostatic\\ levitation\nB: cryo...
MixtureOfThoughts:science_016484
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What does \"in-register, parallel β-sheet\" refer to in the context of protein fibrils?A: parallel strands with aligned residues\nB: antiparallel strands with aligned resid...
MixtureOfThoughts:science_033484
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What mechanism do cells use to detect dehydration in the body?A: thermoreceptors\nB: baroreceptors\nC: osmoreceptors\nD: chemoreceptors", "role": "user" }, { "c...
MixtureOfThoughts:code_009187
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:code_027346
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
M1_dataset_002889
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "We will analyze the $K$-means algorithm and show that it always converge. Let us consider the $K$-means objective function: $$ \\mathcal{L}(\\mathbf{z}, \\boldsymbol{\\mu})...
MixtureOfThoughts:science_049971
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Did female humans evolve to be smaller than males to reuse their partner's clothes during pregnancy?A: Yes, for easier cloth reuse during pregnancy\nB: No\nC: Yes, to adapt...
MixtureOfThoughts:code_007162
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem. Please reason step by step about the solution, then provide a complete implementation in C++17.\n\nYour solution must r...
MixtureOfThoughts:science_049774
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Why are gravitational and Coulomb forces inversely proportional to the square of the distance rather than other powers?A: 5\nB: 3\nC: 4\nD: 1", "role": "user" }, { ...
MixtureOfThoughts:science_022488
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Does temperature affect the amount of CO2 lost to the empty space in a carbonated drink bottle?A: Temperature\nB: Volume\nC: Pressure\nD: pH", "role": "user" }, { ...
MixtureOfThoughts:code_038058
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:science_041499
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What principle guides molecules toward stability in chemical reactions?A: Thermodynamics\nB: Quantum Mechanics\nC: Electronegativity\nD: Kinetics", "role": "user" }, ...
MixtureOfThoughts:code_038758
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem. Please reason step by step about the solution, then provide a complete implementation in C++17.\n\nYour solution must r...
M1_dataset_016777
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Let $n$ be an integer. What is the cardinality of $\\mathbf{Z}^*_n$?", "role": "user" }, { "content": "To determine the cardinality of the group \\(\\mathbf{Z}^...
MixtureOfThoughts:science_025209
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the term used to describe a single unit of solid sodium chloride?A: lattice\nB: formula unit\nC: molecule\nD: unit cell", "role": "user" }, { "content":...
MixtureOfThoughts:science_063241
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Are energetic CMB photons produced by the Sunyaev-Zel'dovich effect abundant throughout the universe?A: Yes, they are abundant throughout the universe.\nB: Only in regions ...
M1_dataset_019185
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Consider the exhaustive search of a uniformly distributed key in a set of size $N$. Think of the possible strategies and their complexities. Which of the following is \\tex...
MixtureOfThoughts:code_027399
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:code_036088
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:science_066816
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "When jumping from a moving train, should you run in the direction of the train or opposite to it to safely counteract inertia?A: Stay still\nB: Sideways\nC: Opposite\nD: Sa...
MixtureOfThoughts:science_023603
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the main advantage of performing nested PCR?A: Simplicity\nB: Cost-effectiveness\nC: Sensitivity\nD: Speed", "role": "user" }, { "content": "<think>\nOk...
M1_dataset_018143
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the inverse of 28 in $\\mathbf{Z}_{77}$?", "role": "user" }, { "content": "SCRATCHPAD:\nTo find the inverse of 28 in \\(\\mathbf{Z}_{77}\\), we need to ...
MixtureOfThoughts:code_046465
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem. Please reason step by step about the solution, then provide a complete implementation in C++17.\n\nYour solution must r...
M1_dataset_021873
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Which of the following statement(s) is/are true about different types of\n coverage for coverage-guided fuzzing?", "role": "user" }, { "content": "Let's eval...
M1_dataset_019911
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Tick the \\emph{correct} assertion. Linear cryptanalysis \\ldots", "role": "user" }, { "content": "In linear cryptanalysis, the attacker constructs linear equat...
M1_dataset_019521
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Which of the following circuits does not change an input difference.", "role": "user" }, { "content": "Let's think step by step.\n\n1. **Understanding Input Dif...
MixtureOfThoughts:science_040924
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "How do daughter cells obtain their initial ribosomes?A: Daughter cells receive ribosomes from the parent cell during cell division.\nB: Daughter cells import ribosomes from...
MixtureOfThoughts:science_063747
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What represents the centripetal force in the scenario of a man standing on a rotating planet's equator?A: mg\nB: mg + N\nC: mg - N\nD: N - mg", "role": "user" }, { ...
MixtureOfThoughts:code_020587
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem. Please reason step by step about the solution, then provide a complete implementation in C++17.\n\nYour solution must r...
MixtureOfThoughts:code_043552
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem. Please reason step by step about the solution, then provide a complete implementation in C++17.\n\nYour solution must r...
MixtureOfThoughts:science_008563
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "When measuring the length of a moving object to avoid errors, the positions of both ends should be recorded at what?A: different times\nB: after the object has passed\nC: b...
MixtureOfThoughts:science_026542
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Can the energy from a McDonald's meal be converted to power a car engine, and if so, what type of fuel could it produce?A: ethanol\nB: biodiesel\nC: propane\nD: methanol", ...
M1_dataset_015971
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You are given the task of choosing the parameters of a hash function. What value of the output will you recommend in order to be minimal and secure against second preimage ...
M1_dataset_004247
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Assume you are working on a mobile application. You get complaints from Android users: when rotating the phone, the text they had typed disappears.\nIn one sentence, explai...
M1_dataset_000353
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "As a group, write a function called minMax, which should take a non-empty array as input and return a pair containing the smallest and the largest element of the array. de...
MixtureOfThoughts:science_008123
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Do all decomposition reactions require heat?A: Only in the presence of a catalyst\nB: Yes, always\nC: No, not always\nD: Only when the products are more stable", "role"...
MixtureOfThoughts:science_076017
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the curl of the electric field and is there an associated magnetic field for a stationary electric dipole?A: 1, No\nB: 0, No\nC: 1, Yes\nD: 0, Yes", "role": "us...
MixtureOfThoughts:science_041162
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the work done by the tension force in a simple pendulum?A: Tds\nB: mgL\nC: mgL(1 - cosθ)\nD: 0", "role": "user" }, { "content": "<think>\nOkay, so I nee...
MixtureOfThoughts:science_010361
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What defines a \"strong\" acid?A: Dissociates completely\nB: Has a high pH\nC: Is concentrated at 1M or higher\nD: Has a low Ka value", "role": "user" }, { "con...
MixtureOfThoughts:science_074041
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the magnetic polarity of the Earth's north pole near the Arctic circle?A: The pole near the Arctic circle is the south pole of the Earth's magnetic field.\nB: The p...
MixtureOfThoughts:science_019567
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the formula for gravitational potential energy of a body of mass \\( m \\) at a height \\( h \\)?A: mgh^2\nB: mgh\nC: gh/m\nD: mg/h", "role": "user" }, { ...
MixtureOfThoughts:code_025095
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:science_047658
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "In a 4-dimensional space where time is the fourth dimension, at what combined speed could a body travel through the dimensions?A: v\nB: 2c\nC: c\nD: 0", "role": "user" ...
MixtureOfThoughts:science_070866
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What effect will Guy2 observe as the ball moves across the rotating table?A: centrifugal effect\nB: centripetal effect\nC: coriolis effect\nD: gravitational effect", "r...
M1_dataset_003917
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Which statement is correct?", "role": "user" }, { "content": "The correct statement is: **'The Viterbi algorithm works because it is applied to an HMM model tha...
MixtureOfThoughts:science_005350
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the friction force exerted on the cabinet when a horizontal force of 200 N is applied to move it at a constant velocity?A: 200N\nB: 0N\nC: 400N\nD: 100N", "role...
MixtureOfThoughts:science_061471
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Can a one-dimensional object, such as a perfectly thin string, be seen or touched by humans?A: No\nB: Yes, if it is illuminated properly\nC: Yes, if it has a certain color\...
MixtureOfThoughts:science_071252
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Does the electric field of q2 at the location of q1 depend on the size of q1?A: No\nB: Only if q1 is much larger than q2.\nC: Yes, because the electric field depends on bot...
MixtureOfThoughts:code_001707
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
M1_dataset_001712
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What are the different types of morphologies that can be considered? Briefly describe the main differences between them.", "role": "user" }, { "content": "To ad...
M1_dataset_006260
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Explain how precise exceptions are implemented in\n dynamically-scheduled out-of-order processors.", "role": "user" }, { "content": "Precise exceptions in dyna...
MixtureOfThoughts:science_003651
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "In an elastic collision, what happens to the total kinetic energy of the system?A: Total kinetic energy is conserved\nB: Kinetic energy of each particle remains unchanged\n...
MixtureOfThoughts:science_003491
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Why can the nuclear kinetic energy terms be ignored in the Coulomb Hamiltonian?A: Variational principle\nB: Heisenberg uncertainty principle\nC: Born-Oppenheimer approximat...
M1_dataset_010751
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Which of the following probability distributions are members of the exponential family:", "role": "user" }, { "content": "To determine which of the given probab...
MixtureOfThoughts:code_041451
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:science_013979
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Can raindrops evaporate before reaching the ground under certain atmospheric conditions?A: Dew\nB: Virga\nC: Hail\nD: Fog", "role": "user" }, { "content": "<thi...
MixtureOfThoughts:science_051248
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "According to Bernoulli's principle, why is P1 greater than P2 in the given scenario?A: P_1 = P_2\nB: P_1 + P_2 = 0\nC: P_1 < P_2\nD: P_1 > P_2", "role": "user" }, {...
M1_dataset_018383
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "The Kerckhoffs principle states that the security of a cryptosystem should rely on the secrecy of\\dots", "role": "user" }, { "content": "The correct answer is:...
MixtureOfThoughts:code_043202
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:science_056915
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "How can the electric potential \\( V \\) be expressed in terms of \\( k \\), \\( q \\), and \\( r \\) without using advanced vector calculus?A: \\(\\frac{kq}{r^2}\\)\nB: \\...
MixtureOfThoughts:code_012287
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem. Please reason step by step about the solution, then provide a complete implementation in C++17.\n\nYour solution must r...
MixtureOfThoughts:science_060019
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the formal property that defines the bounds of applicability of quantum field theory?A: Renormalization Group Equations\nB: Effective Field Theory\nC: Standard Mode...
MixtureOfThoughts:science_003797
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the conversion factor between information and energy in the context of Maxwell's demon?A: h \\nu\nB: eV\nC: c^2\nD: kT \\ln 2", "role": "user" }, { "con...
MixtureOfThoughts:science_047600
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is the significance of the other focus in Kepler's first law of planetary motion?A: The planet's center of mass\nB: Another star in the solar system\nC: The center of ...
MixtureOfThoughts:science_033850
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Is positron-electron pair creation and annihilation simultaneous or does it take time?A: depends on energy levels\nB: takes microseconds\nC: simultaneous\nD: occurs over mi...
M1_dataset_000990
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "There are N philosphers sitting around a circular table eating spaghetti and discussing philosphy. The problem is that each philosopher needs two forks to eat, and there ar...
MixtureOfThoughts:code_031898
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
M1_dataset_004494
Computer Science
M1_dataset
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Assume the company you're working in recently hired a new CEO, who wants to improve development using modern methods. However, this CEO does not have an engineering backgro...
MixtureOfThoughts:science_040767
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "How does the Earth lose heat at night?A: It absorbs heat from the moon and other celestial bodies.\nB: It emits infrared radiation to space.\nC: It transfers heat undergrou...
MixtureOfThoughts:science_047307
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "In an isobaric process, what is the relationship between heat added and the change in enthalpy?A: dS_p\nB: dU_p\nC: dQ_p\nD: dW_p", "role": "user" }, { "content...
MixtureOfThoughts:science_069058
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Does a Schwarzschild black hole with a slightly time-dependent radius emit gravitational waves?A: Yes, with varying energy\nB: No\nC: Yes, with constant energy\nD: Only if ...
MixtureOfThoughts:code_045434
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:code_010948
Computer Science
MixtureOfThoughts:code
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "You will be given a competitive programming problem.\nAnalyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to proc...
MixtureOfThoughts:science_032204
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What sequence of topics should I study to understand the Higgs Boson mathematically?A: general relativity, string theory, quantum gravity\nB: thermodynamics, statistical me...
MixtureOfThoughts:science_034171
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "In a flat, matter-dominated universe, why is \\(\\Lambda\\) assumed to be 0?A: \\(\\Lambda = 1\\)\nB: \\(\\Lambda = k\\)\nC: \\(\\Lambda = \\rho(t)\\)\nD: \\(\\Lambda = 0\\...
MixtureOfThoughts:science_029364
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What is missing in the bosonization procedure to ensure that the fermions \\(\\psi\\) and \\(\\chi\\) anti commute?A: Fermion bilinears\nB: Boson number operators\nC: Gauge...
MixtureOfThoughts:science_017599
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "What does the symbol $k$ represent in the equation $V_T = kT/q$?A: Planck's constant\nB: Stefan-Boltzmann constant\nC: Avogadro's number\nD: Boltzmann's constant", "rol...
MixtureOfThoughts:science_032810
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Are the sparks produced by flint in disposable lighters toxic?A: Not toxic, mild irritation possible\nB: Slightly toxic, moderate poisoning possible\nC: Toxic, severe respi...
MixtureOfThoughts:science_033192
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "How many BRST parameters can be introduced in a gauge theory?A: 1\nB: 2\nC: Multiple\nD: Infinite", "role": "user" }, { "content": "<think>\nOkay, let's tackle ...
MixtureOfThoughts:science_078021
Science
MixtureOfThoughts:science
[ { "content": "You are a patient STEM tutor. Think step by step and pick the correct option.", "role": "system" }, { "content": "Is it possible to create fully grown humans by spraying stem cells on a fully grown skeleton?A: No\nB: Yes, with current technology\nC: Yes, with future advancements\nD: Ye...