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[
{
"content": "Which process in the carbon cycle involves the conversion of carbon dioxide (CO₂) from the atmosphere into organic compounds by plants?\nA: Respiration\nB: Combustion\nC: Photosynthesis\nD: Decomposition\nE: Carbonation\nF: Oxidation\nG: Volatilization\nH: Mineralization\nI: Leaching\nJ: Sedimenta... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nDetermine all integers \\( n > 229 \\) such that if you divide \\( n \\) by \\( 99 \\), \\( 132 \\), and \\( 229 \\), the sum of the three remainders is \\( n \\).",
"role": "user"
},
{
... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "Do you know Just Odd Inventions? The business of this company is to \"just odd inventions\". Here, it is abbreviated as JOI.\n\nJOI is conducting research to confine many microorganisms in one petri dish alive. There are N microorganisms to be investigated, and they are numbered 1, 2, ..., N. When... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nGiven the population growth model \\(\\frac{dP}{dt} = kP(L - P)\\) where \\(k\\) and \\(L\\) are positive constants, determine the nonnegative values of \\(P\\) where the population is increasing, ... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nSolve the equation $5x^2 - 4y^2 = 17$ in the set of integers $\\mathbb{Z}$.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to solve the equation 5x² - 4y² = 17 where x and y... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nDetermine the number of ways in which 420 can be resolved into 3 factors such that their least common multiple (LCM) is 420.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need t... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "Edit this code so that the function will return a string that is a 2-dimensional representation of a nested list. Your function should take as input a nested list (list of lists) and return a string representation of that nested list using hyphens (-) for spaces. Here's the original function and a... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nDetermine an expression for $\\int_{0}^{a} 2^{[x]}dx$ when $a$ is positive but not an integer.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find an expression for the i... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nLet \\( q \\) be a prime such that \\( q \\equiv 1 \\pmod{4} \\) and \\( p = 2q + 1 \\) is also a prime. Is \\( 2 \\) a primitive root modulo \\( p \\)?",
"role": "user"
},
{
"content":... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "Which of the following ancient civilizations is known for its significant contributions to the field of astronomy, including the development of a calendar that accurately predicted solar and lunar eclipses?\nA: The Aztecs\nB: The Babylonians\nC: The Egyptians\nD: The Greeks\nE: The Chinese\nF: The... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "The Little Elephant has got a problem — somebody has been touching his sorted by non-decreasing array a of length n and possibly swapped some elements of the array.\n\nThe Little Elephant doesn't want to call the police until he understands if he could have accidentally changed the array himself. ... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "What role does helium-4 play in nuclear fusion?A: Helium-4 is a fuel that initiates the fusion process\nB: Helium-4 is a product, not a fuel\nC: Helium-4 is an intermediate step in the fusion process\nD: Helium-4 is a catalyst that speeds up the fusion reaction",
"role": "user"
},
{
"c... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "Which of the following navigators is credited with the first recorded circumnavigation of the globe, and what was the primary goal of their expedition?\n\nA: Vasco da Gama, to establish a trade route to India\nB: Christopher Columbus, to find a western route to Asia\nC: Abel Tasman, to map the unk... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
[
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nFind all non-negative solutions \\((x, y, z)\\) to the equation \\(x + y + z = 1\\).",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find all non-negative solutions to the... | Llama-Nemotron-Post-Training-Dataset_reasoning_r1 |
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