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question:You are an AI assistant that helps people find information. User will you give you a question. Your task is to answer as faithfully as you can. While answering think step-by-step and justify your answer. Step-by-step reasoning process: If there are 3 identical cylindrical structures, with a combined total of 72 rooms, then each individual cylindrical structure contains 72 / 3 = 24 rooms. In each 24 - room cylindrical structure, there are 24 - 12 - 7 = 5 kitchens. Thus, the entire, three - cylinder space station contains a total of 3 * 5 = 15 kitchens. The question and answer: Question and answer: The space station, Lupus-1, is an enormous spacecraft made up of three identical cylindrical structures that house the living quarters for the crew. The three cylindrical structures are linked together by a series of tunnels that hold them together and allow the crew to move between cylinders. Each cylindrical structure contains 12 bedrooms, 7 bathrooms, and several kitchens. If the entire space station has 72 rooms, how many kitchens are there on the entire space station? The answer is 15 Step-by-step reasoning process: Aunt Angela has a total of 3 + 2 = 5 nephews and nieces. She gave each nephew or niece 70 / 5 = 14 jellybeans. The question and answer: Question and answer: Aunt Angela has 70 jellybeans in a jar. She wants to divide them equally and give them to her 3 nephews and 2 nieces. How many jellybeans did each nephew or niece receive? The answer is 14 Step-by-step reasoning process: The number that left the camp on Saturday morning was 4 * 28 = 112 athletes. This means that in the camp there remained 300 - 112 = 188 athletes. The new group trickling in on Sunday morning comprised 7 * 15 = 105 athletes. The number that slept at the camp on Sunday night is therefore 188 + 105 = 293 athletes. Since there were 300 athletes on Saturday night, the difference is 300 - 293 = 7 athletes. The question and answer: Question and answer:
answer:A sports camp had 300 athletes on Saturday night. On Saturday morning, 4 buses each carrying 28 athletes left the camp. On Sunday morning, 7 buses each carrying 15 athletes arrived at the camp. How many fewer athletes slept at the camp on Sunday night compared to Saturday night? The answer is 7
question:You are an AI assistant that helps people find information. User will you give you a question. Your task is to answer as faithfully as you can. While answering think step-by-step and justify your answer. **Q** Is the following a factual statement? "The Power Rangers wear different colored spandex suits, coming in colors such as red, blue, pink, and black." Options: - yes - no **A** yes This is a well-known aspect of the design of the Power Rangers' suits. Is the following a factual statement? "A branch of critical race theory is called Gender studies." Options: - yes - no yes Gender studies is a new field in sociology. **Q** Is the following a factual statement? "Mark Zuckerberg sold facebook to a billionaire." Options: - yes - no **A** no There is no evidence that he has sold facebook. Is the following sentence factually correct? "Casio manufactures and maintains the Honda engines of cars." Options: - yes - no no This sentence is false because Casio does not deal with car engines. **Q** Is the following sentence factually correct? "Cat Stevens creates his songs specifically for cats." Options: - yes - no **A** no Despite the alias, Cat Stevens creates music for humans. **Q** "Alpine skiing acts as a sport in which skiing is done on water with boats pulling the competitors." Is the above claim true? Options: - yes - no **A**
answer:no The statement is incorrect because Alpine skiing is a winter sport that involves skiing downhill on snow-covered slopes, not on water.
question:You are an AI assistant that helps people find information. User will you give you a question. Your task is to answer as faithfully as you can. While answering think step-by-step and justify your answer. Leo: Can we conclude from "Two men in orange and white jumpsuits are free falling." that "Two men are falling through the sky."? Options: - yes - no - it is not possible to tell Mei: OK, So, let's think first... Me:
answer:Yes, we can conclude that "Two men are falling through the sky" from the statement "Two men in orange and white jumpsuits are free falling." Here's the justification for the answer: - The statement mentions that there are "two men in orange and white jumpsuits." - It also mentions that they are "free falling," which implies that they are in a state of falling without any constraints or support. - Since free falling typically occurs in the sky (for example, during skydiving or BASE jumping), we can reasonably conclude that the two men are falling through the sky.
question:You are an AI assistant that helps people find information. User will you give you a question. Your task is to answer as faithfully as you can. While answering think step-by-step and justify your answer. What was the question for this implicit rationale, and corresponding answer? Other parts are equal to 2x2 + y2 – 3xy. The answer: (B)
answer:To determine the question for the given implicit rationale and corresponding answer, I will analyze the provided equation and consider the context in which the answer (B) might be relevant. The equation given is: 2x^2 + y^2 - 3xy This equation resembles a quadratic expression, involving two variables x and y. Since the answer is in the format of a multiple-choice option (B), the question could be asking for a specific property or transformation of the equation. The question might be: Which of the following represents the given equation after completing the square? Other parts are equal to 2x^2 + y^2 - 3xy. (A) x^2 + (y - x)^2 (B) (x - 0.5y)^2 + 0.75y^2 (C) (x + 0.5y)^2 + 0.75y^2 (D) x^2 + (y + x)^2 The answer: (B) To justify this answer, I will complete the square for the given equation: 2x^2 + y^2 - 3xy First, I'll separate the x and y terms: (2x^2 - 3xy) + y^2 Now, I'll factor out 2 from the x terms: 2(x^2 - 1.5xy) + y^2 Next, I'll complete the square for the x terms by adding and subtracting (1.5/2)^2 = 0.5625: 2[(x^2 - 1.5xy + 0.5625) - 0.5625] + y^2 This simplifies to: 2[(x - 0.5y)^2 - 0.5625] + y^2 Now, distribute the 2 back into the expression: 2(x - 0.5y)^2 - 1.125 + y^2 Finally, combine the constant term with the y^2 term: (x - 0.5y)^2 + 0.75y^2 This matches answer choice (B), supporting the proposed question and justification.