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<|im_start|>user 4. Find all rational numbers $r$ and all integers $k$ that satisfy the equation $$ r(5 k-7 r)=3 $$<|im_end|> <|im_start|>assistant <think> Okay, let's try to solve this problem: Find all rational numbers r and all integers k that satisfy the equation r(5k - 7r) = 3. Hmm, so we need to find both ration...
open-r1/Mixture-of-Thoughts:math::open-r1/OpenR1-Math-220k
math
I lost my 36 year old cousin today. She has been 36 for 9 days now. I remember she was almost a New Year’s baby but not quite. It is surreal for various reasons to me. My cousin is the first baby I can remember. I was 4 years old when she was born. I remember the house that my aunt and uncle lived in when she was born....
c4
general
Stefan goes to a restaurant to eat dinner with his family. They order an appetizer that costs $10 and 4 entrees that are $20 each. If they tip 20% of the total for the waiter, what is the total amount of money that they spend at the restaurant? Answer: The total cost of the entrees is 4 * $20 = $<<4*20=80>>80. The tot...
gsm8k
reasoning
The remainders when three positive integers are divided by 5 are 1, 2, and 3. Find the remainder when their product is divided by 5. Solution: The product of the three integers is equivalent in modulo 5 to the product of the modulo 5 residues of the three integers. We multiply these residues to find the remainder: $...
competition_math
reasoning
<|im_start|>user You will be given a competitive programming problem. Analyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to process the largest possible test cases within the time and memory limits, then explain why your chosen implementation strategy is the m...
open-r1/Mixture-of-Thoughts:code::open-r1/codeforces-cots
code
羌 is the 3502nd most frequent character. 羌 has 3 dictionary entries. 羌 appears as a character in 5 words. 羌 appears as a component in 1 character.
c4
general
= = = Jantar Mantar = = =
wikitext
general
Call a positive integer $n$ $k$-pretty if $n$ has exactly $k$ positive divisors and $n$ is divisible by $k$. For example, $18$ is $6$-pretty. Let $S$ be the sum of positive integers less than $2019$ that are $20$-pretty. Find $\tfrac{S}{20}$. Solution: Every 20-pretty integer can be written in form $n = 2^a 5^b k$, w...
competition_math
reasoning
If you have any questions on how you can work with us as an investor… just connect w/ us through our contact form or call us anytime at: (970) 744-4944. We offer discount investment properties in Fort Collins and surrounding areas to investors like you who often buy them and keep them as rentals. Also, for those qualif...
c4
general
LOS ANGELES (AP) – Chrissy Teigen and John Legend are expanding their family. The model and the musician used social media Tuesday to announce they’re expecting their second child together. Legend can be heard laughing in the background. He linked to the video on Twitter, captioning it with two hearts and two baby emoj...
c4
general
<|im_start|>user Esquecinaldo has a terrible memory for remembering numbers, but excellent for remembering sequences of operations. Therefore, to remember his 5-digit bank code, he can remember that none of the digits are zero, the first two digits form a power of 5, the last two digits form a power of 2, the middle di...
open-r1/Mixture-of-Thoughts:math::open-r1/OpenR1-Math-220k
math
<|im_start|>user You will be given a competitive programming problem. Analyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to process the largest possible test cases within the time and memory limits, then explain why your chosen implementation strategy is the m...
open-r1/Mixture-of-Thoughts:code::open-r1/codeforces-cots
code
1456 –- A posthumous retrial results in a verdict acquitting Joan of Arc 25 years after she was burned at the stake on charges of heresy and witchcraft. 1846 -– American troops occupy the towns of Monterey and Yerba Buena during the Mexican-American War, thus beginning the American acquisition of California. 1928 –- Pr...
c4
general
Point $A$ is at $(0, 0)$ and point $B$ is on the line $y = 4$. The slope of segment $AB$ is $\frac{2}{3}$. What is the sum of the $x$- and $y$-coordinates of point $B$? Solution: Point B has coordinates $(x,4)$. We know the slope of $AB$ is $\frac{2}{3}$, so we know that: $\frac{4-0}{x-0} = \frac{2}{3}$, thus, $x = 6...
competition_math
reasoning
Lesser Vigor (1): Lucerne, Birthwart. Lesser Cohesion (1): Sage Leaf, Fenugreek. Lesser Accuracy (6): Birthwart, Fenugreek. Lesser Adroitness (6): Sage Leaf, Birthwart. Minor Potion of Antibody (11): Maidenhair Fern, Mullein. Minor Null Potion (11): Fenugreek, Mandrake Root. Potion of Spurn Affliction (16): Zombie Skin...
c4
general
A newspaper subscription costs $10/month. If you purchase an annual subscription you obtain a 20% discount on your total bill. How much do you end up paying if you go with the annual subscription? Answer: A year has 12 months. If 1 month costs $10, then a year will cost $12 * 10 = $<<12*10=120>>120 per year without an...
gsm8k
reasoning
def generate_highest_elevation(region_data): """ This function takes a nested list of region data and returns the highest elevation in each region. Args: region_data (list): A nested list containing the elevation data for each region. Returns: list: A list containing the highest elevation in e...
code_exercises
code
Misha is the 50th best as well as the 50th worst student in her grade. How many students are in Misha's grade? Solution: There are 49 students better than Misha and 49 students worse than Misha. There are $49+49+1=\boxed{99}$ students in Misha's grade.
competition_math
reasoning
[python] Write a function in Python that takes a list of strings and a set of characters as inputs and removes all characters in each string that are in the set. Additionally, the function should remove any strings from the list that become empty after removing characters. The function should also handle the scenario w...
codefeedback
code
<|im_start|>user You will be given a competitive programming problem. Analyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to process the largest possible test cases within the time and memory limits, then explain why your chosen implementation strategy is the m...
open-r1/Mixture-of-Thoughts:code::open-r1/codeforces-cots
code
<|im_start|>user Why is the standard cell potential independent of the stoichiometric coefficients in the balanced reaction?A: Reaction_Quotient B: Standard_Conditions C: Concentration_Factors D: Temperature_Correction<|im_end|> <|im_start|>assistant <think> Okay, let's see. The question is asking why the standard cell...
open-r1/Mixture-of-Thoughts:science::nvidia/Llama-Nemotron-Post-Training-Dataset
generic
<|im_start|>user You will be given a competitive programming problem. Analyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to process the largest possible test cases within the time and memory limits, then explain why your chosen implementation strategy is the m...
open-r1/Mixture-of-Thoughts:code::open-r1/codeforces-cots
code
<|im_start|>user 11. (7 points) On the blackboard, there are several consecutive odd numbers starting from 1: $1, 3, 5, 7, 9, 11, 13 \cdots$ After erasing one of the odd numbers, the sum of the remaining odd numbers is 1998. What is the odd number that was erased? $\qquad$<|im_end|> <|im_start|>assistant <think> Okay, ...
open-r1/Mixture-of-Thoughts:math::open-r1/OpenR1-Math-220k
math
The asymptotes of a hyperbola are $y = x + 1$ and $y = 3 - x.$ Also, the hyperbola passes through $(3,3).$ Find the distance between the foci of the hyperbola. Solution: The intersection of the asymptotes is $(1,2),$ so this is the center of the hyperbola. Since the slopes of the asymptotes are $\pm 1,$ the equatio...
competition_math
reasoning
USER: I need to schedule a meeting for tomorrow. ASSISTANT: Sure, I can help with that. Could you please provide me with the title of the meeting, and the start and end times? <|endoftext|> USER: The meeting is titled "Project Discussion". It should start at 10:00 AM and end at 11:30 AM. ASSISTANT: <functioncall>...
function_calling
tool_use
The total number of employees in a company is 450, and each employee earns $2000 per month. If the company laid off 1/3 of its employees due to tough economic times, calculate the total amount of money the company paid to the remaining employees. Answer: 1/3 of the employees were laid off, that is 1/3*450 = <<450*1/3=...
gsm8k
reasoning
<|im_start|>user You will be given a competitive programming problem. Analyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to process the largest possible test cases within the time and memory limits, then explain why your chosen implementation strategy is the m...
open-r1/Mixture-of-Thoughts:code::open-r1/codeforces-cots
code
<|im_start|>user 6. What is the last digit of $1^{1}+2^{2}+3^{3}+\cdots+100^{100}$ ?<|im_end|> <|im_start|>assistant <think> Okay, so I need to find the last digit of the sum \(1^{1} + 2^{2} + 3^{3} + \cdots + 100^{100}\). Hmm, that seems like a pretty big sum, but since we're only interested in the last digit, maybe t...
open-r1/Mixture-of-Thoughts:math::open-r1/OpenR1-Math-220k
math
The federal government is accelerating Canada’s transition to a lower-carbon economy, even as conservative politicians in the provinces vow to scuttle key measures that would support that effort. Natural Resources Minister Jim Carr endorsed an advisory council report Thursday that spells out an ambitious agenda of incr...
c4
general
<|im_start|>user You will be given a competitive programming problem. Analyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to process the largest possible test cases within the time and memory limits, then explain why your chosen implementation strategy is the m...
open-r1/Mixture-of-Thoughts:code::open-r1/codeforces-cots
code
5,000 people live in a small town. 2,000 males live in that town and the rest of the population are females. Thirty percent of the female population wears glasses. How many females wear glasses? Answer: There are 5,000 - 2,000 = <<5000-2000=3000>>3,000 females that lives in the town. Since thirty percent of the female...
gsm8k
reasoning
[python] Sort the following array using the merge sort algorithm in descending order. The array may contain duplicate elements. Additionally, you should implement the merge sort algorithm without using recursion. You are only allowed to use iteration and a stack data structure for this implementation. The time complexi...
codefeedback
code
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