id
stringlengths
6
20
source
stringclasses
6 values
instruction
stringlengths
11
5.18k
input
stringlengths
0
306
output
stringlengths
1
308
rationale
stringlengths
0
2.9k
subject
stringclasses
39 values
category
stringclasses
7 values
allenai/sciq_5640
allenai/sciq
Breaking of weak bonds, which tend to form between positive and negative charges, does not require much what? A. time B. catalyzation C. heat D. energy
D. energy
Hydrogen Bonds Ionic and covalent bonds are strong bonds that require considerable energy to break. However, not all bonds between elements are ionic or covalent bonds. Weaker bonds can also form. These are attractions that occur between positive and negative charges that do not require much energy to break. Two weak b...
college_chemistry
chemistry
allenai/sciq_5141
allenai/sciq
How many electrons can be accommodated in the first electron shell's orbital? A. 2 B. 1 C. none D. 3
A. 2
high_school_chemistry
chemistry
allenai/sciq_10716
allenai/sciq
Secondary pollutants form from chemical reactions that occur when pollution is exposed to what? A. humans B. water C. sunlight D. air
C. sunlight
Secondary pollutants form from chemical reactions that occur when pollution is exposed to sunlight.
high_school_chemistry
chemistry
aquarat_26161
deepmind/aqua_rat
If x = 3^27 and x^x = 3^k, what is k?
A. 3^9 B. 3^12 C. 3^27 D. 3^30 E. 3^33
D. 3^30
Solution: We know that x=3^27 which implies x^x = (3^27)^(3^27) = 3^(27 * 3^27) [because (x^y)^z = x^(y*z))] so 3^(3^3 * 3^27) = 3^(3^(3+27)) [because x^a * x^b = x^(a+b)] therefore x^x = 3^(3^30) Given that x^x=3^k so 3^(3^30) = 3^k Since the base is same the exponent will also be same therefore k = 3^30 Answer: D
college_mathematics
mathematics
math_213
math_mc
There are values $A$ and $B$ such that \[\frac{Bx-11}{x^2-7x+10}=\frac{A}{x-2}+\frac{3}{x-5}.\]Find $A+B$.
C
math_Algebra
mathematics
mmlu_aux_train_96622
mmlu_aux_train
From 2008 to 2018, the concentration of single carbon molecules bonded with two oxygen molecules present in the air has dramatically A. sharply declined B. grown C. decreased D. polluted public opinion
B. grown
college_chemistry
chemistry
mmlu_aux_train_38704
mmlu_aux_train
After almost 30 years of arguing that a black hole swallows up everything that falls into it, British astrophysicist Stephen Hawking moved backward last week. The world-famous writer of "Brief History of Time" said he and other scientists had got it wrong. "I've been thinking about this problem for the last 30 years,...
A. They could help solve the puzzle about black holes.
astronomy
physics
allenai/sciq_11012
allenai/sciq
Gasoline, natural gas, fuel oil, diesel fuel, jet fuel, coal, kerosene, and propane are examples of what type of fule? A. nuclear fue B. electrolysis fuel C. hydrocarbon fuel D. polymerization fuel
C. hydrocarbon fuel
It is hard to overstate the importance of hydrocarbons to modern life. Hydrocarbons have even been called the “driving force of western civilization. ” You saw some ways they are used in the opening image. Several other ways are pictured in the Figure below . The most important use of hydrocarbons is for fuel. Gasoline...
high_school_chemistry
chemistry
mmlu_aux_train_2378
mmlu_aux_train
The building of a dam will most likely A. prevent water pollution. B. destroy habitat for many animal species. C. allow fish to more easily swim up river. D. cause people to consume more water.
B. destroy habitat for many animal species.
high_school_biology
biology
allenai/sciq_4462
allenai/sciq
What is it called when an egg develops into an individual without being fertilized? A. abiogenesis B. metamorphosis C. parthenogenesis D. symbiosis
C. parthenogenesis
Parthenogenesis Parthenogenesis is a form of asexual reproduction in which an egg develops into an individual without being fertilized. The resulting offspring can be either haploid or diploid, depending on the process in the species. Parthenogenesis occurs in invertebrates such as water fleas, rotifers, aphids, stick ...
high_school_biology
biology
allenai/sciq_4815
allenai/sciq
Transition metals are superior conductors of heat as well as what else? A. radiation B. light C. electricity D. cold
C. electricity
Transition metals are superior conductors of heat as well as electricity. They are malleable, which means they can be shaped into sheets, and ductile, which means they can be shaped into wires. They have high melting and boiling points, and all are solids at room temperature, except for mercury (Hg), which is a liquid....
high_school_chemistry
chemistry
allenai/sciq_5137
allenai/sciq
Because sound waves must move through a medium, there are no sound waves in a what? A. solid B. gas C. liquid D. vacuum
D. vacuum
Sound Auditory stimuli are sound waves, which are mechanical, pressure waves that move through a medium, such as air or water. There are no sound waves in a vacuum since there are no air molecules to move in waves. The speed of sound waves differs, based on altitude, temperature, and medium, but at sea level and a temp...
high_school_physics
physics
allenai/sciq_10455
allenai/sciq
What is the term for an expression showing the relationship of the reaction rate to the concentrations of each reactant? A. concentric law B. rate law C. decay law D. flow law
B. rate law
The proportionality between the rate and becomes an equal sign by the insertion of a constant . A rate law is an expression showing the relationship of the reaction rate to the concentrations of each reactant. The specific rate constant is the proportionality constant relating the rate of the reaction to the concentrat...
college_chemistry
chemistry
aquarat_85802
deepmind/aqua_rat
John and Rose play the following game with n sticks on a table. Each must remove 1,2,3,4, or 5 sticks at a time on alternate turns, and no stick that is removed is put back on the table. The one who removes the last stick (or sticks) from the table wins. If John goes first, which of the following is a value of n such t...
A. 7 B. 10 C. 11 D. 12 E. 16
D. 12
If the number of sticks on a table is a multiple of 6, then the second player will win in any case (well if the player is smart enough). Consider n=6, no matter how many sticks will be removed by the first player (1, 2, 3 ,4 or 5), the rest (5, 4, 3, 2, or 1) can be removed by the second one. The same for n=12: no matt...
formal_logic
mathematics
pythonio_43
pythonio-mc
Program: def lbs(arr): n = len(arr) lis = [1 for i in range(n+1)] for i in range(1 , n): for j in range(0 , i): if ((arr[i] > arr[j]) and (lis[i] < lis[j] +1)): lis[i] = lis[j] + 1 lds = [1 for i in range(n+1)] for i in reversed(range(n-1)): for j in reversed(range(i-1 ,n)): if(arr...
D
code
computer_science
mmlu_aux_train_93396
mmlu_aux_train
The islands in the mid-Pacific Ocean region were formed by A. land subsidence. B. deposition from currents. C. wind and water erosion. D. volcanic activity.
D. volcanic activity.
college_earth_science
earth_science
mmlu_aux_train_32268
mmlu_aux_train
Every few years, we buy an expensive new PC and love how fast it runs. Unavoidably though, it starts to slow down until eventually we are pulling our hair out waiting for it to do tasks. Why is this? It turns out the answer is quite simple and you don't even need to be "technical" to understand the causes and solutio...
D. after the software are infected with problems
computer_security
computer_science
math_2040
math_mc
A pizza parlor has six different toppings. How many different one- and two-topping pizzas can you order?
B
math_Prealgebra
mathematics
mmlu_aux_train_52880
mmlu_aux_train
Sir John a British scientist who won last year's Nobel prize for medicine, said he had predicted at the time of his frog experiments that the successful cloning of a mammal would happen within 50 years.and that "maybe the same answer is appropriate" far the step to human cloning. Parents who lose children in accidents ...
C. 50 years
college_biology
biology
mmlu_aux_train_4386
mmlu_aux_train
There is a river at the base of Mount Tom. In the spring the water level is usually very high. In the summer it is lower. The higher level of water during the spring comes from A. hurricanes. B. melting snow. C. tornadoes. D. evaporating water.
B. melting snow.
high_school_physics
physics
math_1121
math_mc
Let $a,$ $b,$ and $c$ be nonnegative real numbers such that $a + b + c = 1.$ Find the maximum value of \[a + \sqrt{ab} + \sqrt[3]{abc}.\]
A
math_Intermediate Algebra
mathematics
allenai/sciq_5497
allenai/sciq
What process that begins in utero during fetal development and continues on into adolescence involves closing of the skull? A. incubation B. elongation C. ossification D. calcification
C. ossification
Intramembranous ossification begins in utero during fetal development and continues on into adolescence. At birth, the skull and clavicles are not fully ossified nor are the sutures of the skull closed. This allows the skull and shoulders to deform during passage through the birth canal. The last bones to ossify via in...
college_biology
biology
aquarat_4295
deepmind/aqua_rat
One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead, $0.019 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?
A. $7.15 B. $8.87 C. $33.92 D. $35.57 E. $39.62
C. $33.92
Operating system overhead for 1 run = 1.07 $ Mounting of data tape = 4.35$ Cost per 1 millisecond of computer time = .019 $ Total cost of 1 run of a program that requires 1.5 seconds of computer time = 1.07 + (.019*1500) + 4.35 =1.07 + 28.5 + 4.35 = 33.92$ Answer C
college_mathematics
mathematics
mmlu_aux_train_16789
mmlu_aux_train
The plan: turn Mars into a blue world with streams and green fields, and then fill it with creatures from the earth. This idea may sound like something from a science fiction , but it is actually being taken seriously by many researchers. This suggests the future for the "red planet" will be the main topic for discu...
C. a plan turning Mars into a little earth
astronomy
physics
pythonio_616
pythonio-mc
Program: def rgb_to_hsv(r, g, b): r, g, b = r/255.0, g/255.0, b/255.0 mx = max(r, g, b) mn = min(r, g, b) df = mx-mn if mx == mn: h = 0 elif mx == r: h = (60 * ((g-b)/df) + 360) % 360 elif mx == g: h = (60 * ((b-r)/df) + 120) % 360 elif mx == b: ...
C
code
computer_science
mmlu_aux_train_26527
mmlu_aux_train
An English traveler spent a few weeks in Sweden. When he was about to return home,he found that he had only enough money left to get a ticket to England. Thinking the matter over, he decided that as it was only a two days' voyage he could get home without eating anything. So he bought a ticket with that little money he...
A. One.
formal_logic
mathematics
mmlu_aux_train_60396
mmlu_aux_train
"I love the music-player function of 3G cellphones, " Xiaomei, a Chinese senior high school girl living in Japan, said happily. "Recently, I logged on to a website and downloaded some new Japanese songs with lyrics onto my 3G cellphone, "the girl said. "You know, it's amazing! Just like with KTV, _ 's voice can...
D. It is thought that in Japan high school students use 3G the most.
high_school_computer_science
computer_science
aquarat_29819
deepmind/aqua_rat
When Alice entered the Forest of Forgetfulness, she forgot the day of the week. She met the Lion and the Unicorn resting under a tree. The Lion lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week. The Unicorn, on the other hand, lies on Thursdays, Fridays, and Saturdays, but tells...
A. Monday B. Wednesday C. Thursday D. Friday E. Sunday
C. Thursday
If the Lion is telling the truth, the day of the week must be Thursday. If he is lying, then the day of the week must be Monday. So the day of the week must be either Thursday or Monday. If the Unicorn is telling the truth, the day of the week must be Sunday. If he is lying, then the day of the week must be Thursday. T...
formal_logic
mathematics
aquarat_69309
deepmind/aqua_rat
The function f is defined for all positive integers t by the following rule. f(t) is the number of positive integers each of which is less than t and has no positive factor in common with t other than 1. If p is any prime, number then f(p)=
A. p-2 B. p-1 C. (p+1)/2 D. (p-1)/2 E. 2
B. p-1
If not the wording the question wouldn't be as tough as it is now. The GMAT often hides some simple concept in complicated way of delivering it. This question for instance basically asks: how many positive integers are less than given prime number p which have no common factor with p except 1. Well as p is a prime, all...
college_mathematics
mathematics
allenai/sciq_1623
allenai/sciq
What forms when atoms share or transfer valence electrons? A. levels B. replicas C. bonds D. fusion
C. bonds
A chemical bond is a force of attraction between atoms or ions. Bonds form when atoms share or transfer valence electrons. Valence electrons are the electrons in the outer energy level of an atom that may be involved in chemical interactions. Valence electrons are the basis of all chemical bonds. For a video introducti...
high_school_chemistry
chemistry
math_2005
math_mc
Express $\sqrt{x} \div\sqrt{y}$ as a common fraction, given: $\frac{ {\left( \frac{1}{2} \right)}^2 + {\left( \frac{1}{3} \right)}^2 }{ {\left( \frac{1}{4} \right)}^2 + {\left( \frac{1}{5} \right)}^2} = \frac{13x}{41y} $
B
math_Prealgebra
mathematics
mmlu_aux_train_94284
mmlu_aux_train
Which of the following is a crucial piece of evidence supporting scientists' theory of how the continents and the ocean basins formed? A. Gravitational forces result in the fusion of small atoms. B. A differentiated iron core expresses magnetic properties. C. Currents redistribute heat in an unevenly heated liquid. D....
C. Currents redistribute heat in an unevenly heated liquid.
college_earth_science
earth_science
allenai/sciq_4354
allenai/sciq
Mitochondria are thought to have evolved from what kind of cells? A. ancient matrix B. ancient prokaryotic C. ancient phosphorylation D. ancient ribosome
B. ancient prokaryotic
Mitochondria are thought to have evolved from ancient prokaryotic cells.
college_biology
biology
aquarat_38576
deepmind/aqua_rat
m is a positive integer. m! is ending with k zeros, (m+2)! is ending with k+2 zeros. Find the number of possible values of m, if 90 ≤ m ≤ 190.
A. 2 B. 3 C. 4 D. 6 E. 8
D. 6
Possible values of m where (m+2)! has two zeroes more than the no. of zeroes in m! are m=98,99--No of zeroes 22 (m+2)! i.e, 100 and 101 have 24 zeroes each. m=148,149 m=174,175 no. of possible values of m=6. Answer has to be D.
college_mathematics
mathematics
allenai/sciq_7941
allenai/sciq
What kind of resource is soil? A. finite B. nonrenewable C. viable D. renewable
D. renewable
Soil is a renewable resource. Sometimes it is lost faster than it can be replaced.
high_school_biology
biology
allenai/sciq_2865
allenai/sciq
What device measures current that flows through wire? A. resistor attachment B. Geiger counter C. ammeter D. protractor
C. ammeter
The device in the circuit in Figure above is an ammeter. It measures the current that flows through the wire. The faster the magnet or coil moves, the greater the amount of current that is produced. If more turns were added to the coil, this would increase the strength of the magnetic field as well. If the magnet were ...
electrical_engineering
engineering
mmlu_aux_train_70270
mmlu_aux_train
Are You Right Handed or Left Handed? Which hand do you use when write? About 8 to 15 percent of people are left handed. They often have to use tools that are designed for right-handed people. So it is difficult for left-handers to use most tools. If you are right handed, try this experiment: Take a knife with your left...
C. feel awkward
high_school_biology
biology
mmlu_aux_train_9038
mmlu_aux_train
In some countries in which there is very little rain at any time, the farmers have to irrigate their fields. Irrigation is easy enough if there is a great river near the crops, and if there is plenty of water in it. Canals carry the river water to the fields when necessary. In some seasons there may be too much water i...
B. for people to have the right amount of water at all times
high_school_biology
biology
mmlu_aux_train_67047
mmlu_aux_train
You know that balloons must be kept away from sharp objects. They also needed to be kept away from flames. A fire can weaken the rubber and cause it to break. However, in this experiment you will find out how you can hold a balloon directly in a flame without breaking the balloon. Materials needed: * two round balloons...
D. time
high_school_physics
physics
allenai/sciq_2745
allenai/sciq
A weak and temporary dipole that influences nearby atoms through electrostatic attraction and repulsion is known as what? A. an debased dipole B. an incomplete dipole C. an instantaneous dipole D. a fused dipole
C. an instantaneous dipole
The electron cloud of a helium atom contains two electrons, which can normally be expected to be equally distributed spatially around the nucleus. However, at any given moment the electron distribution may be uneven, resulting in an instantaneous dipole. This weak and temporary dipole subsequently influences neighborin...
college_chemistry
chemistry
pythonio_251
pythonio-mc
Program: def max_of_nth(test_list, N): res = max([sub[N] for sub in test_list]) return (res) Input: max_of_nth([(7, 8, 9), (3, 5, 7), (10, 11, 21)], 1) Output:
B
code
computer_science
allenai/sciq_11611
allenai/sciq
What is the upper-most atmosphere known as? A. ionosphere B. xerosphere C. thermosphere D. exosphere
C. thermosphere
The atmosphere is a big part of the water cycle. What do you think would happen to Earth’s water without it?.
astronomy
physics
NLP4Education_622
NLP4Education
What is the Squared Euclidean Imbalance? A. \( P_0(x) \sum_x (P_1(x) - P_0(x))^2 \) B. \( \frac{1}{P_0(x)} \sum_x (P_1(x) - P_0(x))^2 \) C. \( \sum_x \frac{(P_1(x) - P_0(x))^2}{P_0(x)} \) D. \( \sum_x \left( \frac{P_1(x)}{P_0(x)} - 1 \right)^2 \)
C. \( \sum_x \frac{(P_1(x) - P_0(x))^2}{P_0(x)} \)
machine_learning
computer_science
aquarat_73821
deepmind/aqua_rat
The value of 1/(1-x) + 1/ (1+x) + 2/(1+x^2) + 4/(1+x^4)
A. 8/(1-x^8) B. 4x/(1+x^2) C. 4/(1-x^6) D. 4/(1+x^4) E. 4x/(1-x^4)
A. 8/(1-x^8)
Highlighted part has mistake as the exponent of x must be 4 in last term CORRECT QUESTION ISThe value of 1/(1-x) + 1/(1+x) + 2/(1+x^2) + 4/(1+x^4) = ? Solution is as mentioned below... one more way that could get the answer in the type of eqn and choices given is to substitute some value for x... 0 would be better as t...
college_mathematics
mathematics
allenai/sciq_11675
allenai/sciq
What remains a constant of radioactive substance over time? A. temperature B. rate of decay C. acidity D. volatility
B. rate of decay
The rate of decay of a radioactive substance is constant over time.
high_school_chemistry
chemistry
pythonio_492
pythonio-mc
Program: import re def extract_quotation(text1): return (re.findall(r'"(.*?)"', text1)) Input: extract_quotation('Cast your "favorite" entertainment "apps"') Output:
C
code
computer_science
allenai/sciq_5504
allenai/sciq
How many orders of magnitudes bigger is the electric force? A. 45 B. 39 C. 33 D. 36
B. 39
and . The electric force is 39 orders of magnitudes bigger.
conceptual_physics
physics
NLP4Education_527
NLP4Education
Select the \emph{incorrect} statement: hash functions can be used to construct A. commitment schemes B. key derivation functions C. message authentication codes D. public key cryptosystems
D. public key cryptosystems
computer_security
computer_science
math_1364
math_mc
Find the number of ordered pairs of integers $(a,b)$ with $1 \leq a \leq 100$ and $b \geq 0$ such that the polynomial $x^2+ax+b$ can be factored into the product of two (not necessarily distinct) linear factors with integer coefficients.
D
math_Intermediate Algebra
mathematics
math_1630
math_mc
There are $20n$ members in the Trumpington marching band, and when they line up in rows of 26, there are 4 band members left over. If $n$ is an integer and there are fewer than 1000 band members, what is the maximum number of people that could be in the Trumpington marching band?
C
math_Number Theory
mathematics
allenai/sciq_10485
allenai/sciq
What do you call the electrons in the outermost energy level of an atom? A. shell electrons B. Inner electrons C. valence electrons D. Proper electrons
C. valence electrons
Electrons in the outermost energy level of an atom are called valence electrons. They determine many of the properties of an atom, including how reactive it is.
high_school_chemistry
chemistry
mmlu_aux_train_72407
mmlu_aux_train
How old is "old"? The answer has changed over the years.Two hundred years ago, you were old at 35.At the beginning of the 20th century, the average life span was 45.In 1950,70-year-olds were really old.Today, a healthy 70-year-old person is still thought young. So, how old is old? The answer is one you've heard many...
B. 80
high_school_biology
biology
NLP4Education_421
NLP4Education
Tick the \emph{false} assertion. The ambiguity issue in the decryption algorithm of the Rabin cryptosystem can be solved by… A. encrypting the message twice. B. encrypting the message appended to itself. C. appending some integrity checks to the message before encryption. D. ensuring that the other possible plaintexts ...
A. encrypting the message twice.
computer_security
computer_science
math_1246
math_mc
Let $n$ be a positive integer. The sequence $(x_k)$ is defined by $x_0 = 0,$ $x_1 = 1,$ and \[x_{k + 2} = \frac{(n - 1) x_{k + 1} - (n - k) x_k}{k + 1}\]for $k \ge 0.$ Find $x_0 + x_1 + x_2 + \dotsb$ as a function of $n.$
B
math_Intermediate Algebra
mathematics
NLP4Education_376
NLP4Education
Let $n=pq$ where $p$ and $q$ are prime numbers. We have: A. $\varphi (n) = n-1$ B. $\varphi (n) = pq$ C. $\varphi (n) = (p-1)(q-1)$ D. $\varphi (n) = p + q$
C. $\varphi (n) = (p-1)(q-1)$
abstract_algebra
mathematics
math_204
math_mc
Let \[f(x) = \left\{ \begin{array}{cl} 2x + 7 & \text{if } x < -2, \\ -x^2 - x + 1 & \text{if } x \ge -2. \end{array} \right.\]Find the sum of all values of $x$ such that $f(x) = -5.$
C
math_Algebra
mathematics
mmlu_aux_train_39941
mmlu_aux_train
Having just quit a highly moneymaking job with tech giant Microsoft in the United States,where he'd made millions working as a program manager, _ What Awuah wanted was to create a university in his native Ghana.a state-of-the-art education centre that would help educate the country's next generation of leaders.Awuah m...
C. training future leaders for development
college_computer_science
computer_science
mmlu_aux_train_54126
mmlu_aux_train
Clean your ears, because airport security might soon be scanning them. According to a recent discovery, the shape of ears could provide a reliable new way of identifying people at airports. Researchers discovered that ears of each person have a unique shape and they have created a system that can scan them. The ear sca...
C. who you are
college_computer_science
computer_science
mmlu_aux_train_25274
mmlu_aux_train
What is the E-mail The e-mail, which is also called email, stands for "electronic mail". You can send messages in only a few seconds by e-mail. On the Internet there are many powerful computers called "servers" to help people send and receive emails. The sending and receiving servers are just like post offices. If you ...
C. apply for a mailbox
high_school_computer_science
computer_science
mmlu_aux_train_57337
mmlu_aux_train
In a unique research cooperation between Stratasys, Education, R&D departments and MIT's Self-Assembly Lab, a new process is being developed, known as 4D Printing. The 4D printing concept, which allows materials to "self-assemble " into 3D structures, was initially proposed by Massachusetts Institute of Technology fac...
D. 4D printed materials reshape themselves with conditions changing.
college_computer_science
computer_science
math_351
math_mc
A ball travels on a parabolic path in which the height (in feet) is given by the expression $-16t^2+80t+21$, where $t$ is the time after launch. What is the maximum height of the ball, in feet?
B
math_Algebra
mathematics
allenai/sciq_11454
allenai/sciq
During interphase of what process, each chromosome is duplicated, and the sister chromatids formed during synthesis are held together at the centromere region by cohesin proteins? A. digestion B. apoptosis C. meiosis D. mitosis
C. meiosis
Chapter 11 1 Figure 11.9 Yes, it will be able to reproduce asexually. 2 C 4 D 6 C 8 C 10 C 12 B 14 During the meiotic interphase, each chromosome is duplicated. The sister chromatids that are formed during synthesis are held together at the centromere region by cohesin proteins. All chromosomes are attached to the nucl...
high_school_biology
biology
mmlu_aux_train_1169
mmlu_aux_train
Some businesses offer customers the option to pay for merchandise using their fingerprints as identification. Which of the following would most benefit customers that use this new technology? A. cost of product is reduced B. protection of private information C. ability to track customer preferences D. funds would be c...
B. protection of private information
computer_security
computer_science
math_529
math_mc
The Lakers are playing the Celtics in the NBA finals. To win the NBA finals, a team must win 4 games before the other team does. If the Celtics win each game with probability $\dfrac{2}{3}$ and there are no ties, what is the probability that the Lakers will win the NBA finals but that the contest will need all seven ga...
A
math_Counting & Probability
mathematics
NLP4Education_687
NLP4Education
Assume we are in a group $G$ of order $n = p_1^{\alpha_1} p_2^{\alpha_2}$, where $p_1$ and $p_2$ are two distinct primes and $\alpha_1, \alpha_2 \in \mathbb{N}$. The complexity of applying the Pohlig-Hellman algorithm for computing the discrete logarithm in $G$ is … (choose the most accurate answer): A. $\mathcal{O}(\a...
C. $\mathcal{O}( \alpha_1 \sqrt{p_1} + \alpha_2 \sqrt{p_2})$.
abstract_algebra
mathematics
aquarat_85423
deepmind/aqua_rat
180 college students were asked in a survey if they preferred Windows or Mac brand computers. 50 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 60 of the students had no preference. How many of the stude...
A. 25 B. 70 C. 50 D. 60 E. 75
B. 70
180 = 50(Mac) + x(Window) + 60(both) => x=70 ANSWER:B
high_school_statistics
mathematics
pythonio_711
pythonio-mc
Program: def sort_tuple(tup): n = len(tup) for i in range(n): for j in range(n-i-1): if tup[j][0] > tup[j + 1][0]: tup[j], tup[j + 1] = tup[j + 1], tup[j] return tup Input: sort_tuple([("aaaa", 28), ("aa", 30), ("bab", 29), ("bb", 21), ("csa", "C")]) Output:
C
code
computer_science
pythonio_615
pythonio-mc
Program: def rgb_to_hsv(r, g, b): r, g, b = r/255.0, g/255.0, b/255.0 mx = max(r, g, b) mn = min(r, g, b) df = mx-mn if mx == mn: h = 0 elif mx == r: h = (60 * ((g-b)/df) + 360) % 360 elif mx == g: h = (60 * ((b-r)/df) + 120) % 360 elif mx == b: ...
D
code
computer_science
pythonio_162
pythonio-mc
Program: def two_unique_nums(nums): return [i for i in nums if nums.count(i)==1] Input: two_unique_nums([1,2,3,4,5]) Output:
B
code
computer_science
allenai/sciq_3039
allenai/sciq
What is the opening formed between adjacent vertebrae for the exit of a spinal nerve called? A. intervertebral foramen B. sympathetic ganglion C. inferior vertebral notch D. spinous process
A. intervertebral foramen
Figure 7.24 Intervertebral Disc The bodies of adjacent vertebrae are separated and united by an intervertebral disc, which provides padding and allows for movements between adjacent vertebrae. The disc consists of a fibrous outer layer called the anulus fibrosus and a gel-like center called the nucleus pulposus. The in...
anatomy
biology
aquarat_76057
deepmind/aqua_rat
In a survey of 340 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
A. 7/12 B. 8/41 C. 39/68 D. 1/8 E. 41/91
C. 39/68
---------UI----------------NUI-------Total PT----(12.5/100)*104 = 13----------- --54 NPT---104-13-------------- x--------286 Total--104----------------------------340 we have to find not part time and not uninsured . in other words not part time and insured = x/340 = (286-104+13)/340 = 39/68 Answer is C.
high_school_statistics
mathematics
math_714
math_mc
Line segment $\overline{AB}$ is a diameter of a circle with $AB = 24$. Point $C$, not equal to $A$ or $B$, lies on the circle. As point $C$ moves around the circle, the centroid (center of mass) of $\triangle ABC$ traces out a closed curve missing two points. To the nearest positive integer, what is the area of the reg...
C
math_Geometry
mathematics
allenai/sciq_875
allenai/sciq
What gas is released into the atmosphere when fossil fuels are burned? A. helium B. hydrogen C. co2 D. glucose
C. co2
Carbon dioxide levels in the atmosphere are increasing. Fossil fuel burning is increasing. The rise in fossil fuel burning is increasing the CO 2 in the atmosphere.
high_school_chemistry
chemistry
aquarat_41660
deepmind/aqua_rat
Define r* by the equation r* = π-r. Then ((−π)*)* =
A. −2π B. -1 C. −π D. 2π E. 4π
C. −π
for r* f(f(−π)) = f(π − (−π)) = f(π + π) = f(2π) = π − 2π = −π=C
college_mathematics
mathematics
pythonio_403
pythonio-mc
Program: def access_key(ditionary,key): return list(ditionary)[key] Input: access_key({'program':15,'computer':45},1) Output:
C
code
computer_science
aquarat_8600
deepmind/aqua_rat
Which of the following functions does not intersect with T = 3x^2 + 2x + 1
A. T = 3x^2 + 3x + 1 B. T = 2x^2 + 3x + 1 C. T = 3x^2 + 2x + 3 D. T = 4x^2 + 2x - 3 E. T = x^2 + 2x + 3
C. T = 3x^2 + 2x + 3
Let’s find the actual intersecting point of given function and each choice T. A. 3x^2 + 2x + 1 = 3x^2 + 3x + 1 --> x=0 B. 3x^2 + 2x + 1 = 2x^2 + 3x + 1 --> x^2 – x =0 --> x=0 or 1 C. 3x^2 + 2x + 1 = 3x^2 + 2x + 3 --> 1=3(X) --> they don’t have any intersect. D. 3x^2 + 2x + 1 = 4x^2 + 2x - 3 --> x^2 –4=0 --> x= 2 or -2 ...
college_mathematics
mathematics
allenai/sciq_1825
allenai/sciq
Potassium is a soft, silvery metal that ignites explosively in what? A. air B. acid C. cold D. water
D. water
Potassium is a soft, silvery metal that ignites explosively in water. It easily loses its one valence electron to form positive potassium ions (K + ), which are needed by all living cells. Potassium is so important for plants that it is found in almost all fertilizers, like the one shown here. Potassium is abundant in ...
high_school_chemistry
chemistry
allenai/sciq_6270
allenai/sciq
What are the largest phylum of the animal kingdom? A. Pycnogonida B. Chelicerata C. arthropods D. Crustacea
C. arthropods
Two chemical species combine to produce a new compound. The general expression for this reaction is A + B → C.
high_school_biology
biology
mmlu_aux_train_70289
mmlu_aux_train
Lucy and her classmates are discussing about creating a homepage for their class. Lucy: What should we put on our class homepage? Jane: I think our class homepage should have daily or weekly news of class activities. Mathew: What kind of class activities? Jane: Something like spring outings, class meetings, a...
C. Mathew
high_school_computer_science
computer_science
aquarat_52507
deepmind/aqua_rat
39! is divided by 41 then find the remainder?
A. 1 B. 3 C. 5 D. 6 E. 7
A. 1
Substituting p = 41 in the wilson's theorem, we get 40!+141=0 40×39!+141=0 −1×39!41=−1 Cancelling -1 on both sides, 39!41=1 A
college_mathematics
mathematics
mmlu_aux_train_95521
mmlu_aux_train
When we think of bees, we also think of pollen. This is because bees A. sleep in it B. consume it C. sell it D. live in it
B. consume it
high_school_biology
biology
mmlu_aux_train_56955
mmlu_aux_train
If you travel to a new exhibition at the San Francisco Conservatory of Flowers, you will have chances to see some meat-eating plants. Take bladderworts, a kind of such plant, for example. They appear so small and grow in a quiet pond. "But these are the fastest known killers of the plant kingdom, able to capture a smal...
D. enjoying a dinner
high_school_biology
biology
NLP4Education_180
NLP4Education
Whenever I want to use Z-Score standardization (also known as normalization), I should use the mean and standard deviation of the training set to normalize my training, validation, and test set. A. Yes, always use the mean and standard deviation from the training set for all data splits. B. Use the mean and standard de...
A. Yes, always use the mean and standard deviation from the training set for all data splits.
machine_learning
computer_science
math_1090
math_mc
Circles of radius $3$ and $6$ are externally tangent to each other and are internally tangent to a circle of radius $9$. The circle of radius $9$ has a chord that is a common external tangent of the other two circles. Find the square of the length of this chord. [asy] pointpen = black; pathpen = black + linewidth(0.7);...
D
math_Geometry
mathematics
math_784
math_mc
In quadrilateral $ABCD$, $\angle B$ is a right angle, diagonal $\overline{AC}$ is perpendicular to $\overline{CD}$, $AB=18$, $BC=21$, and $CD=14$. Find the perimeter of $ABCD$.
C
math_Geometry
mathematics
math_140
math_mc
Let \[f(x) = \left\{ \begin{array}{cl} ax+3, &\text{ if }x>2, \\ x-5 &\text{ if } -2 \le x \le 2, \\ 2x-b &\text{ if } x <-2. \end{array} \right.\]Find $a+b$ if the piecewise function is continuous (which means that its graph can be drawn without lifting your pencil from the paper).
B
math_Algebra
mathematics
allenai/sciq_10439
allenai/sciq
What is the substance called whenatoms of different elements join together? A. compounds B. crystals C. plants D. crusts
A. compounds
Did you ever make cupcakes from scratch? You mix together flour, sugar, eggs, and other ingredients to make the batter, put the batter into cupcake papers, and then put them into the oven to bake. The cupcakes that come out of the oven after baking are different from any of the individual ingredients that went into the...
high_school_chemistry
chemistry
mmlu_aux_train_68838
mmlu_aux_train
The computers changed our lives in the 1980s, the Internet changed our lives in the 1990s, and the robots will change our lives in the new century. Do you think there will be robots in people's homes? It's not a dream that every home will have a robot. Now, robots are not only able to help people do the housework, they...
B. Beijing
high_school_computer_science
computer_science
mmlu_aux_train_56710
mmlu_aux_train
Writing one or two articles a day is a fair goal for a human writer. By contrast, the Wordsmith platform can produce up to 2,000 articles a second! Wordsmith is one example of natural language-generation software, often referred to as a robot journalist. To be fair, the software doesn't start from the beginning, like a...
B. A robot journalist.
college_computer_science
computer_science
mmlu_aux_train_95795
mmlu_aux_train
where do arctic animals reside? A. arctic fire B. tropical jungles C. chilly habitats D. sahara habitats
C. chilly habitats
high_school_biology
biology
pythonio_27
pythonio-mc
Program: def add_str(test_tup, K): res = [ele for sub in test_tup for ele in (sub, K)] return (res) Input: add_str((7, 8, 9, 10) , "PF") Output:
A
code
computer_science
allenai/sciq_9413
allenai/sciq
What are the two most abundant elements in the universe? A. hydrogen and oxygen B. hydrogen and helium C. oxygen and carbon D. nitrogen and carbon
B. hydrogen and helium
Hydrogen and helium are the most abundant elements in the universe.
astronomy
physics
pythonio_650
pythonio-mc
Program: def max_sum_list(lists): return max(lists, key=sum) Input: max_sum_list([[3,2,1], [6,5,4], [12,11,10]]) Output:
A
code
computer_science
allenai/sciq_7638
allenai/sciq
Psip can be positive or negative relative to what kind of pressure? A. atmospheric B. manometric C. magnetic D. inertia
A. atmospheric
conceptual_physics
physics
mmlu_aux_train_33558
mmlu_aux_train
A British-designed electronic newspaper which is made of plastic and no larger than a table mat is to enter the market next year. The new newspaper was conceived by Cambridge University scientists. They came up with the idea of replacing silicon chips with plastic ones. it is being developed by Plastic Logic...
C. People can download and read lots of newspapers on it
college_computer_science
computer_science
math_1386
math_mc
In the complex plane, $z,$ $z^2,$ $z^3$ form, in some order, three of the vertices of a non-degenerate square. Enter all possible areas of the square, separated by commas.
A
math_Intermediate Algebra
mathematics
math_1538
math_mc
The value $b^n$ has both $b$ and $n$ as positive integers less than or equal to 15. What is the greatest number of positive factors $b^n$ can have?
B
math_Number Theory
mathematics
mmlu_aux_train_93355
mmlu_aux_train
Magnesium strips are long, thin strips that are gray and shiny. Which action will lead to a chemical change of magnesium strips? A. putting them in the freezer B. burning them with a candle C. cutting them into small pieces D. mixing them with pieces of copper
B. burning them with a candle
high_school_chemistry
chemistry
math_2047
math_mc
A $\emph{convex}$ polygon is a polygon in which every interior angle is less than 180 degrees. A $\emph{diagonal}$ of a convex polygon is a line segment that connects two non-adjacent vertices. How many diagonals does a convex polygon with 20 sides have?
C
math_Prealgebra
mathematics
allenai/sciq_10803
allenai/sciq
Does an increase in temperature speed up or slow down reactions? A. speed up B. remain the same C. end reaction D. slow down
A. speed up
high_school_chemistry
chemistry