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mmlu_abstract_algebra:0,"Question: Find the degree for the given field extension Q(sqrt(2), sqrt(3), sqrt(18)) over Q.
A. 0
B. 4
C. 2
D. 6
Answer:B",True,1,0.02106277458369732,shard_0126:12728,"Farms failed and livestock starved in the central United States during the Dust Bowl drought of the 1930s. The event was not just the region’s worst dry spell in modern memory — it was the worst in North America over the past millennium, researchers report in Geophysical Research Letters. “Not only..."
mmlu_abstract_algebra:0,"Question: Find the degree for the given field extension Q(sqrt(2), sqrt(3), sqrt(18)) over Q.
A. 0
B. 4
C. 2
D. 6
Answer:B",True,2,0.02047015354037285,shard_0259:16056,"Why Are Cheerleaders Skirts So Short Cheerleaders are known for their energetic routines and spirited performances, but there's one aspect of their attire that often raises eyebrows - their short skirts. These skirts, which typically fall several inches above the knee, have sparked curiosity and co..."
mmlu_abstract_algebra:0,"Question: Find the degree for the given field extension Q(sqrt(2), sqrt(3), sqrt(18)) over Q.
A. 0
B. 4
C. 2
D. 6
Answer:B",True,3,0.020404797047376633,shard_0079:11576,"Wednesday, May 9, 2018 The Red Blur. I was thinking about faith a tad this week and how so many things seem blurry when you are not given a concrete answer.  Kind of like when The Flash zooms by you and all you see is a red blur, he is there, you just kind of question it. Thanks Preacher Brent for..."
mmlu_abstract_algebra:1,"Question: Let p = (1, 2, 5, 4)(2, 3) in S_5 . Find the index of <p> in S_5.
A. 8
B. 2
C. 24
D. 120
Answer:C",True,1,0.023896474391222,shard_0018:17367,R05.02.060(11)(d) d. Lodging 1. Lodging expense is the cost incurred for an overnight stay while in travel status  2. Reimbursement of lodging expenses is at actual cost.    3. The individual with expenditure authority has the responsibility to determine the most  appropriate and cost‐effec...
mmlu_abstract_algebra:1,"Question: Let p = (1, 2, 5, 4)(2, 3) in S_5 . Find the index of <p> in S_5.
A. 8
B. 2
C. 24
D. 120
Answer:C",True,2,0.022243807092308998,shard_0101:1144,"Gerda de Vrij founded the shop with her husband Emile in 1976. After her studies in a craftmanship school in the Netherlands, she did an extra art education in Germany.  At the Fakhugeschule für gestaltung in Pforzheim, she got an education from one of the best design teachers at the time. This ar..."
mmlu_abstract_algebra:1,"Question: Let p = (1, 2, 5, 4)(2, 3) in S_5 . Find the index of <p> in S_5.
A. 8
B. 2
C. 24
D. 120
Answer:C",True,3,0.021151846274733543,shard_0109:11775,"class=""post-template-default single single-post postid-72 single-format-standard wp-custom-logo wp-embed-responsive right-sidebar nav-float-right separate-containers header-aligned-left dropdown-hover"" itemtype=""https://schema.org/Blog"" itemscope> 5 Affirmations of Life : Spiritual and Motivational..."
mmlu_abstract_algebra:2,"Question: Find all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^5 + 3x^3 + x^2 + 2x in Z_5
A. 0
B. 1
C. 0,1
D. 0,4
Answer:D",True,1,0.037372980266809464,shard_0129:13378,"Use Green's Theorem to evaluate the line integral along the given positively oriented curve.  xy2 dx + 3x2y dy C is the triangle with vertices (0, 0), (2, 2), and (2, 4) Expert Answer Want to see the step-by-step answer? Check out a sample Q&A here. Want to see this answer and more? Experts..."
mmlu_abstract_algebra:2,"Question: Find all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^5 + 3x^3 + x^2 + 2x in Z_5
A. 0
B. 1
C. 0,1
D. 0,4
Answer:D",True,2,0.02957557514309883,shard_0294:13964,Use a graphing utility to graph the function and identify any horizontal asymptotes. f(x) = 3/x + 4 Expert Answer Want to see the step-by-step answer? Check out a sample Q&A here. Want to see this answer and more? Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minu...
mmlu_abstract_algebra:2,"Question: Find all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^5 + 3x^3 + x^2 + 2x in Z_5
A. 0
B. 1
C. 0,1
D. 0,4
Answer:D",True,3,0.026088139042258263,shard_0312:8421,"ÂĚĹ«Ě컨°ĺ “Bow-wow, bow-wow, arf-arf, woof!” That’s dog-speak for National K-9 Veterans Day, celebrated on March 13 and commemorating the service and sacrifices of American military dogs throughout history.Ěý The United States had an unofficial canine force in World War I. Military dogs, ho..."
mmlu_abstract_algebra:3,"Question: Statement 1 | A factor group of a non-Abelian group is non-Abelian. Statement 2 | If K is a normal subgroup of H and H is a normal subgroup of G, then K is a normal subgroup of G.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:C",False,1,0.0232868492603302,shard_0238:9337,Create Account Enlarge Text Save the metal holders from any old broken Christmas ornaments. Use them to replace the shiny holders on new ornaments for a more antique look
mmlu_abstract_algebra:3,"Question: Statement 1 | A factor group of a non-Abelian group is non-Abelian. Statement 2 | If K is a normal subgroup of H and H is a normal subgroup of G, then K is a normal subgroup of G.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:C",False,2,0.022246617823839188,shard_0253:12602,"вход по аккаунту код для вставки Patented Dec. 10, 1946 Leo Miller Henricks, Indianapolis, Ind. Application December 1, 1944, Serial No. 566,183 l Claim. (Cl. 43-49) Slida'bly mounted on guide portion 9 isa swivel member I I, one eye of which encircles guide por tion 9 and the other eye of which..."
mmlu_abstract_algebra:3,"Question: Statement 1 | A factor group of a non-Abelian group is non-Abelian. Statement 2 | If K is a normal subgroup of H and H is a normal subgroup of G, then K is a normal subgroup of G.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:C",False,3,0.02179066278040409,shard_0314:16490,Recent content by Trent 1. Trent does nhra count in here or not thanks im a huge nhra fan and monster truck fan as well 2. Trent merry christmas every one it been a while i hope you guys are doing good and merry christmas 3. Trent black wheels on monster trucks a...
mmlu_abstract_algebra:4,"Question: Find the product of the given polynomials in the given polynomial ring. f(x) = 4x - 5, g(x) = 2x^2 - 4x + 2 in Z_8[x].
A. 2x^2 + 5
B. 6x^2 + 4x + 6
C. 0
D. x^2 + 1
Answer:C",False,1,0.04139149561524391,shard_0294:13964,Use a graphing utility to graph the function and identify any horizontal asymptotes. f(x) = 3/x + 4 Expert Answer Want to see the step-by-step answer? Check out a sample Q&A here. Want to see this answer and more? Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minu...
mmlu_abstract_algebra:4,"Question: Find the product of the given polynomials in the given polynomial ring. f(x) = 4x - 5, g(x) = 2x^2 - 4x + 2 in Z_8[x].
A. 2x^2 + 5
B. 6x^2 + 4x + 6
C. 0
D. x^2 + 1
Answer:C",False,2,0.03629408776760101,shard_0129:13378,"Use Green's Theorem to evaluate the line integral along the given positively oriented curve.  xy2 dx + 3x2y dy C is the triangle with vertices (0, 0), (2, 2), and (2, 4) Expert Answer Want to see the step-by-step answer? Check out a sample Q&A here. Want to see this answer and more? Experts..."
mmlu_abstract_algebra:4,"Question: Find the product of the given polynomials in the given polynomial ring. f(x) = 4x - 5, g(x) = 2x^2 - 4x + 2 in Z_8[x].
A. 2x^2 + 5
B. 6x^2 + 4x + 6
C. 0
D. x^2 + 1
Answer:C",False,3,0.02237996645271778,shard_0270:15303,"[Date Prev][Date Next] [Thread Prev][Thread Next] [Date Index] [Thread Index] Re: Last minute cominbations G+D and/or G+E On Thu, 05 Dec 2019 11:59:36 +0000, Ian Jackson wrote: > Here is the formal version of this proposal. (My previous mail wasn't Thank you. > Title: Support portability, with..."
mmlu_abstract_algebra:5,"Question: Statement 1 | If a group has an element of order 15 it must have at least 8 elements of order 15. Statement 2 | If a group has more than 8 elements of order 15, it must have at least 16 elements of order 15.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:A",True,1,0.02336946316063404,shard_0167:13211,Slater type orbitals (STO) are considered to be more accurate than gaussian type orbitals (GTO) for atomic and molecular QM calculations because - among other reasons - they decay with $e^{-\alpha r}$ as $r \to \infty$. But GTOs are more popular because they are easier to calculate with. GTOs decay...
mmlu_abstract_algebra:5,"Question: Statement 1 | If a group has an element of order 15 it must have at least 8 elements of order 15. Statement 2 | If a group has more than 8 elements of order 15, it must have at least 16 elements of order 15.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:A",True,2,0.022437328472733498,shard_0303:12654,Data guidelines Procedures for making data available in PAGES-acknowledged publications Since 31 October 2018 > Link to PAGES working group databases and external databases 1. PAGES Data Stewardship and FAIR Data Principles 2. Archive the data 2.1 What to archive 2.1.1 Input data obtained fro...
mmlu_abstract_algebra:5,"Question: Statement 1 | If a group has an element of order 15 it must have at least 8 elements of order 15. Statement 2 | If a group has more than 8 elements of order 15, it must have at least 16 elements of order 15.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:A",True,3,0.02200409024953842,shard_0225:15200,Ready to get started?Download WordPress Plugin Directory !This plugin hasn't been updated in over 2 years. It may no longer be maintained or supported and may have compatibility issues when used with more recent versions of WordPress. WP Splash Image WP Splash Image is a plugin for WordPress to...
mmlu_abstract_algebra:6,"Question: Statement 1 | Every homomorphic image of a group G is isomorphic to a factor group of G. Statement 2 | The homomorphic images of a group G are the same (up to isomorphism) as the factor groups of G.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:A",True,1,0.024726171046495438,shard_0286:9098,"Need your puppy delivered right to your door? Please let us know! Cumberland Kennels, LLC 36 Cundiff Rd. • Dunnville, KY 42528 Phone: 606-303-5184 John & Jane Doe    Edit 1234 Anystreet Ave. Anytown, US 56789 (234) 567-890 Puppy Agreement: 202312 Pickup Day 09/22/23 Time 05:40 am Purchase of a B..."
mmlu_abstract_algebra:6,"Question: Statement 1 | Every homomorphic image of a group G is isomorphic to a factor group of G. Statement 2 | The homomorphic images of a group G are the same (up to isomorphism) as the factor groups of G.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:A",True,2,0.023090101778507233,shard_0023:4917,"Aviation Chapter 11 Cases Take Flight By Kelly DiBlasi and Jason George (Weil, Gotshal & Manges LLP) Kelly DiBlasi Jason George Increased competition, rising fuel costs, and the lingering effects of the COVID-19 pandemic have caused financial distress for airlines and other aviation companies and..."
mmlu_abstract_algebra:6,"Question: Statement 1 | Every homomorphic image of a group G is isomorphic to a factor group of G. Statement 2 | The homomorphic images of a group G are the same (up to isomorphism) as the factor groups of G.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:A",True,3,0.022371066734194756,shard_0296:11010,"Please distribute this URL as you see fit. By Ted Baldwin Amusing, isn't it? {short description of image} Hitler: A Broadway Denouement Everything is show-biz..."" It is Hottest broadway show of 2001, 2002, 2003 (probably) ? The stage adaptation of Mel Brook's 1967 film ""The Producers"". (Five star f..."
mmlu_abstract_algebra:7,"Question: Statement 1 | A ring homomorphism is one to one if and only if the kernel is {0}. Statement 2 | Q is an ideal in R.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:A",False,1,0.021877378225326538,shard_0222:6045,"Question: Is Starbucks A Service Industry? What type of industry is Starbucks? Starbucks primarily operates and competes in the retail coffee and snacks store industry. This industry experienced a major slowdown in 2009 due to the economic crisis and changing consumer tastes, with the industry re..."
mmlu_abstract_algebra:7,"Question: Statement 1 | A ring homomorphism is one to one if and only if the kernel is {0}. Statement 2 | Q is an ideal in R.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:A",False,2,0.021828407421708107,shard_0259:14800,"Unpredictable Entropy Jody Whitlock     Passwords are something that every user hates; having to enter passwords several times in a day in order to access a system.     In Information Security there is a concept called CIA. This is not the Central Intelligence Agency, but rather represents the th..."
mmlu_abstract_algebra:7,"Question: Statement 1 | A ring homomorphism is one to one if and only if the kernel is {0}. Statement 2 | Q is an ideal in R.
A. True, True
B. False, False
C. True, False
D. False, True
Answer:A",False,3,0.021359356120228767,shard_0153:8734,"Annie Vartanian BRE License: 01331682 About Annie Vartanian Annie Vartanian has been in the real estate industry for over 16 years.  She has lived in the Los Angeles area for nearly 45 years, 35 years of which in the city of Glendale.  She understands that buying and selling a home is more than j..."
mmlu_abstract_algebra:8,"Question: Find the degree for the given field extension Q(sqrt(2) + sqrt(3)) over Q.
A. 0
B. 4
C. 2
D. 6
Answer:C",False,1,0.021308068186044693,shard_0108:17920,"A method of controlling the airflow into a compression ignition engine having an EGR and a VGT is disclosed. The control strategy includes the steps of determining the engine speed and fueling rate and, retrieving desired values for the intake manifold pressure ($P_i$) and compressor mass flow rate..."
mmlu_abstract_algebra:8,"Question: Find the degree for the given field extension Q(sqrt(2) + sqrt(3)) over Q.
A. 0
B. 4
C. 2
D. 6
Answer:C",False,2,0.020842408761382103,shard_0116:12549,"Listen to the Intro 00:00 iWoz summary Steve Wozniak Gina Smith Computer Geek to Cult Icon: How I Invented the Personal Computer, Co-Founded Apple, and Had Fun Doing It Brief summary 'iWoz' is an autobiographical account of Steve Wozniak's life as the co-founder of Apple. The book discusses his..."
mmlu_abstract_algebra:8,"Question: Find the degree for the given field extension Q(sqrt(2) + sqrt(3)) over Q.
A. 0
B. 4
C. 2
D. 6
Answer:C",False,3,0.020509395748376846,shard_0132:6054,"Calories in Apple Crumble Apple Crumble is a dessert that can be high or low in calories, depending on the recipe. Apples themselves are moderate in calories; it's the accompanying ingredients that can pile on the numbers, especially excess fats and sugars. The Basics A simple Apple Crumble recip..."
mmlu_abstract_algebra:9,"Question: Find all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^3 + 2x + 2 in Z_7
A. 1
B. 2
C. 2,3
D. 6
Answer:D",False,1,0.04917745292186737,shard_0129:13378,"Use Green's Theorem to evaluate the line integral along the given positively oriented curve.  xy2 dx + 3x2y dy C is the triangle with vertices (0, 0), (2, 2), and (2, 4) Expert Answer Want to see the step-by-step answer? Check out a sample Q&A here. Want to see this answer and more? Experts..."
mmlu_abstract_algebra:9,"Question: Find all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^3 + 2x + 2 in Z_7
A. 1
B. 2
C. 2,3
D. 6
Answer:D",False,2,0.0355881042778492,shard_0294:13964,Use a graphing utility to graph the function and identify any horizontal asymptotes. f(x) = 3/x + 4 Expert Answer Want to see the step-by-step answer? Check out a sample Q&A here. Want to see this answer and more? Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minu...
mmlu_abstract_algebra:9,"Question: Find all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^3 + 2x + 2 in Z_7
A. 1
B. 2
C. 2,3
D. 6
Answer:D",False,3,0.027426613494753838,shard_0056:12091,"find the absolute extrema of the given function on the indicated interval f(x)=sin x+cos x, [pi/2, pi] Asked on by tarfa123 1 Answer | Add Yours justaguide's profile pic justaguide | College Teacher | (Level 2) Distinguished Educator Posted on The extreme values of the function f(x) = sin x +..."

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