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 |
|---|---|---|---|---|---|---|---|
NLP4Education_384 | NLP4Education | Tick the \emph{correct} assertion. In ElGamal $\ldots$
A. the encryption algorithm is deterministic.
B. the key recovery problem is equivalent to the Computational Diffie Hellman problem.
C. the size of the ciphertext is always bigger than the size of the corresponding plaintext.
D. the decryption problem can be hard e... | C. the size of the ciphertext is always bigger than the size of the corresponding plaintext. | college_computer_science | computer_science | ||
math_1745 | math_mc | The infinite sequence $S=\{s_1,s_2,s_3,\ldots\}$ is defined by $s_1=7$ and $s_n=7^{s_{n-1}}$ for each integer $n>1$. What is the remainder when $s_{100}$ is divided by $5$? | B | math_Number Theory | mathematics | ||
mmlu_aux_train_18717 | mmlu_aux_train | A "blogger" is a person who writes on an Internet computer Web site called a "blog". The word "blog" is a short way of saying Web log, or personal Web site. Anyone can start a blog, and they can write about anything they like. There are millions of blogs on the Internet today. They provide news, information and ideas i... | C. tell readers about blogs | high_school_computer_science | computer_science | ||
pythonio_350 | pythonio-mc | Program:
def rectangle_perimeter(l,b):
perimeter=2*(l+b)
return perimeter
Input:
rectangle_perimeter(4,2)
Output: | C | code | computer_science | ||
allenai/sciq_10946 | allenai/sciq | What is measured by the intensity of the sound waves?
A. loudness
B. inputs
C. pitch
D. tone | A. loudness | Loudness refers to how loud or soft a sound seems to a listener. The loudness of sound is determined, in turn, by the intensity of the sound waves. Intensity is a measure of the amount of energy in sound waves. The unit of intensity is the decibel (dB) . | high_school_physics | physics | |
mmlu_aux_train_54996 | mmlu_aux_train | But what is teacher quality? How can one measure it reliably? An analysis is issued on a sample of data from a Texas school district. Experts argue convincingly that teacher effectiveness should be measured by students' gains on standardized tests: Mr. Smith is probably a better teacher than Ms. Brown if his students c... | D. the fourth year | high_school_statistics | mathematics | ||
mmlu_aux_train_5738 | mmlu_aux_train | Once upon a time, people wrote letters mostly with pen and paper. But the Internet has changed all that. Among computer users today, between 50 and 90 percent of written letters take place through e-mail. That's much different from the days when everyone relied on "snail mail" . More and more new e-mail users are askin... | C. About math exam | high_school_computer_science | computer_science | ||
pythonio_518 | pythonio-mc | Program:
def set_middle_bits(n):
n |= n >> 1;
n |= n >> 2;
n |= n >> 4;
n |= n >> 8;
n |= n >> 16;
return (n >> 1) ^ 1
def toggle_middle_bits(n):
if (n == 1):
return 1
return n ^ set_middle_bits(n)
Input:
toggle_middle_bits(10)
Output: | B | code | computer_science | ||
allenai/sciq_126 | allenai/sciq | The difference between the theoretical half-reaction reduction potential and the actual voltage required is called what?
A. overpotential
B. overcharge
C. excess
D. resistance | A. overpotential | can occur in electrolytic cells by introducing a power supply, which supplies the energy to force the electrons to flow in the nonspontaneous direction. Electrolysis is done in solutions, which contain enough ions so current can flow. If the solution contains only one material, like the electrolysis of molten sodium ch... | college_chemistry | chemistry | |
allenai/sciq_2868 | allenai/sciq | The bottom of the ocean is called what?
A. Demersal zone
B. Final zone
C. Intertidal zone
D. the benthic zone | D. the benthic zone | The bottom of the ocean is called the benthic zone. It includes the sediments on the bottom of the ocean and the water just above it. Organisms living in this zone include clams and crabs. They may be few in number due to relatively scarce nutrients in this zone. | high_school_biology | biology | |
mmlu_aux_train_94303 | mmlu_aux_train | Which phase change in the atmosphere forms clouds?
A. evaporation
B. freezing
C. condensation
D. melting | C. condensation | conceptual_physics | physics | ||
mmlu_aux_train_2300 | mmlu_aux_train | How does a parachute sufficiently increase air resistance to allow the parachutist to land safely?
A. by decreasing the force of gravity acting on the parachutist
B. by decreasing the total mass of the parachutist
C. by increasing the surrounding air pressure around the parachute
D. by increasing the total surface are... | D. by increasing the total surface area of the parachute | conceptual_physics | physics | ||
allenai/sciq_6439 | allenai/sciq | Plasmodesmata and gap junctions are channels between adjacent cells of what respective types?
A. healthy and sick
B. new and old
C. plant and animal
D. plant and fungus | C. plant and animal | 4.6 Connections between Cells and Cellular Activities Animal cells communicate via their extracellular matrices and are connected to each other via tight junctions, desmosomes, and gap junctions. Plant cells are connected and communicate with each other via plasmodesmata. When protein receptors on the surface of the pl... | high_school_biology | biology | |
aquarat_44797 | deepmind/aqua_rat | A student writes a computer program that generates a sequence of numbers a1, a2, a3, ... such that a1=a2=1 and ak=a(k-1)*4+1 for 2<k<n. If n=15, find a5. | A. 85 B. 87 C. 89 D. 93 E. 95 | A. 85 | a1=1
a2=1
a3=1*4+1=5
a4=5*4+1=21
a5=21*4+1=84+1=85
85 | coding | computer_science |
aquarat_1344 | deepmind/aqua_rat | If 5^k + 5^k = (5^9)^(5^9) - 5^k, then k = ? | A. 5^11 - 1 B. 11/2 C. 242 D. 3^10 E. 3^11 - 1 | A. 5^11 - 1 | 5^k + 5^k = (5^9)^5^9 - 5^k
5*(5^k) = 5 ^ (25 * 5^9 ) = 5^(5^2 * 5^9) = 5^(5^11)
5^k+1 = 5^(5^11)
So k+1 = 5^11
So k = 5^11 -1
Answer is A | college_mathematics | mathematics |
mmlu_aux_train_2612 | mmlu_aux_train | The alkaline earth metal elements are in the same family in the periodic table because they all have
A. one valence electron.
B. two valence electrons.
C. seven valence electrons.
D. eight valence electrons. | B. two valence electrons. | high_school_chemistry | chemistry | ||
aquarat_82406 | deepmind/aqua_rat | For which of the following does h(a)−h(b)=h(a−b) for all values of a and b? | A. h(x)=x^2 B. h(x)=x/2 C. h(x)=x+5 D. h(x)=2x−1 E. h(x)=|x| | B. h(x)=x/2 | To solve this easiest way is just put the value and see that if it equals or not.
with option 1. h(a) = a^2 and h(b) = b^2
so L.H.S = a^2 - b^2
and R.H.S = (a-b)^2 ==> a^2 + b^2 -2ab.
so L.H.S not equal to R.H.S
with option 2. h(a) = a/2 and h(b) = b/2
L.H.S = a/2 - b/2 ==> 1/2(a-b)
R.H.S = (a-b)/2
so L.H.S = R.H.S whi... | college_mathematics | mathematics |
aquarat_95884 | deepmind/aqua_rat | What is the probability that Company R's advertisement will be one of the first two be shown during the first commercial break? | A. 1/ 225 B. 1 / 30 C. 1 /15 D. 2 / 15 E. 4 /15 | D. 2 / 15 | R 1/15 + (14/15) * 1/14 = 2/15 D | high_school_statistics | mathematics |
NLP4Education_696 | NLP4Education | Which of the following apply to recent Android-based mobile systems but not to Linux-based desktop systems?
A. Apps should use the binder interface to communicate with other apps.
B. Arbitrary apps can exchange files through shared directories.
C. All system users have root-level access by default.
D. All apps have acc... | A. Apps should use the binder interface to communicate with other apps. | computer_security | computer_science | ||
math_947 | math_mc | A cone is formed from a 300-degree sector of a circle of radius 18 by aligning the two straight sides. [asy]
size(110);
draw(Arc((0,0),1,0,300));
draw((1,0)--(0,0)--(.5,-.5*sqrt(3)));
label("18",(.5,0),S); label("$300^\circ$",(0,0),NW);
[/asy] What is the result when the volume of the cone is divided by $\pi$? | B | math_Geometry | mathematics | ||
allenai/sciq_3118 | allenai/sciq | What is the production of offspring without gamete fusion called?
A. organic reproduction
B. asexual reproduction
C. sexual reproduction
D. ideal reproduction | B. asexual reproduction | high_school_biology | biology | ||
mmlu_aux_train_5745 | mmlu_aux_train | Smart phones that react to your moods and televisions that can tell it's you who's watching are in your future as Intel Corporation's top technology expert sets his sights on context-aware computing. Chief technology officer Justin Rattner showed how personal devices will one day offer advice. "How can we change the re... | C. offering advice to their owners' friends or relatives | computer_security | computer_science | ||
mmlu_aux_train_89939 | mmlu_aux_train | Most American families are smaller than the families in other countries.Most American families have one or two parents and one or two children each. Children in the US will leave their parents' home when they grow up.They usually live far from their parents because they want to find good jobs.They often write to their ... | B. smaller than | high_school_statistics | mathematics | ||
allenai/sciq_4519 | allenai/sciq | Explosive eruptions associated with what can be tens of thousands of times as powerful as an atomic bomb?
A. volcanoes
B. earthquakes
C. hurricanes
D. forest fires | A. volcanoes | An explosive eruption produces huge clouds of volcanic ash. Chunks of the volcano fly high into the atmosphere. Explosive eruptions can be tens of thousands of times as powerful as an atomic bomb ( Figure below ). Hot magma beneath the surface mixes with water. This forms gases. The gas pressure grows until it must be ... | astronomy | physics | |
NLP4Education_129 | NLP4Education | Which of the following is WRONG about inverted files?
A. The space requirement for the postings file is O(n).
B. Variable length compression is used to reduce the size of the index file.
C. The index file has space requirement of O(n^beta), where beta is about 1/2.
D. Storing differences among word addresses reduces th... | B. Variable length compression is used to reduce the size of the index file. | computer_security | computer_science | ||
math_1915 | math_mc | Three friends are driving to New York City and splitting the gas cost equally. At the last minute, 2 more friends joined the trip. The cost of gas was then evenly redistributed among all of the friends. The cost for each of the original 3 decreased by $\$$11.00. What was the total cost of the gas, in dollars? | B | math_Prealgebra | mathematics | ||
allenai/sciq_2324 | allenai/sciq | The modern atomic theory states that all matter is composed of what?
A. atoms
B. ions
C. molecules
D. quarks | A. atoms | The modern atomic theory states that all matter is composed of atoms. | high_school_chemistry | chemistry | |
allenai/sciq_8217 | allenai/sciq | Fractures and faults are terms you hear when talking about?
A. volcanoes
B. magnets
C. storms
D. earthquakes | D. earthquakes | Compare fractures and faults and define how they are related to earthquakes. | college_earth_science | earth_science | |
NLP4Education_189 | NLP4Education | In Machine Learning, we want to learn the \textbf{parameters W} for the mapping function f: $y=f(x,W) +\epsilon$ where x is the input, y the output, and $\epsilon$ the error term.\\
(One or multiple answers)
A. When f: $R^M \rightarrow R$, it is a classification task
B. When f: $R^M \rightarrow \{1,..,N\}$, it is a reg... | C. When f: $R^M \rightarrow R$, it is a regression task | machine_learning | computer_science | ||
math_1649 | math_mc | Find $2 \cdot 5^{-1} + 8 \cdot 11^{-1} \pmod{56}$.
Express your answer as an integer from $0$ to $55$, inclusive. | A | math_Number Theory | mathematics | ||
aquarat_63184 | deepmind/aqua_rat | Set A = {1, 2, 3, 4, 5, 6, s}
Which of the following possible values for s would cause Set A to have the smallest standard deviation? | A. 1 B. 2.5 C. 3 D. 3.5 E. 7 | D. 3.5 | I agree. The mean of the set s=1,2,3,4,5,6 is 3.5 . Now if we add one extra number to the set, in order for the standard deviation to be minimum, that number must be as close as possible to the original set (1,2,3,4,5,6). Therefore we have to choose the number closest to 3,5 from the options we have, leaving D as the b... | high_school_statistics | mathematics |
mmlu_aux_train_37261 | mmlu_aux_train | Batteries are included, but the charger's not. The Nokia E-Cu concept phone doesn't need to plug in, it charges from any heat source. Designer Patrick Hyland says it can even work off the warmth of your pocket. The first time "it would take approximately seven hours to reach full charge, then after that it's continuous... | D. It has a highly conductive copper cover. | college_physics | physics | ||
pythonio_942 | pythonio-mc | Program:
def sum_Natural(n):
sum = (n * (n + 1))
return int(sum)
def sum_Even(l,r):
return (sum_Natural(int(r / 2)) - sum_Natural(int((l - 1) / 2)))
Input:
sum_Even(3,8)
Output: | B | code | computer_science | ||
math_2080 | math_mc | Let
\[f(x) = (\arccos x)^3 + (\arcsin x)^3.\]Find the range of $f(x).$ All functions are in radians. | A | math_Precalculus | mathematics | ||
NLP4Education_543 | NLP4Education | If an adversary mounts a chosen plaintext attack, it means he can…
A. only eavesdrop on encrypted messages without any interaction.
B. request decryption of any ciphertext by the participants.
C. submit plaintexts of his choice to be encrypted by the participants.
D. automatically recover the secret encryption key. | C. submit plaintexts of his choice to be encrypted by the participants. | computer_security | computer_science | ||
aquarat_56242 | deepmind/aqua_rat | If Yury has been writing programming code for 12 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written? | A. 126(10^2) B. 126(10^3) C. 12.6(10^5) D. 108(10^2) E. .126(10^9) | D. 108(10^2) | 5 LINES IN 20 SECONDS
SO FOR 1 MINUTE ( 5 X 3 = 15 LINES )
I HOUR = 60 MINUTES
15 X 60 = 900 LINES IN AN HOUR
12 HOURS = 900 X 12 = 108(10^2)
ANSWER D | coding | computer_science |
aquarat_72945 | deepmind/aqua_rat | If a(n) is to be entered following the rule [a(n)^2 - 1] then what are the next three entries. | A. 0,-1,0 B. 2,3,4 C. 1,2,3 D. 0,-1,2 E. 0,-1,1 | A. 0,-1,0 | It only satisfies the rule, when a(n) = -1,0,1
ANSWER:A | college_mathematics | mathematics |
mmlu_aux_train_82662 | mmlu_aux_train | One Saturday morning, Apple Inc's iPad table computer went on sale in the United States stores across the country. The iPad can be bought in more than 200 U.S. Apple stores from Apple. Many fans even waited overnight outside some Apple stores, hoping to be the first to get one. Dozens of the people were waiting before... | C. they were eager to own the iPad | high_school_computer_science | computer_science | ||
mmlu_aux_train_39452 | mmlu_aux_train | The State Council declared Wednesday it would restart China's nuclear power program, ending the hiatus in nuclear construction since Japan's Fukushima nuclear disaster last year. China has been the most courageous country in building nuclear power, with the largest number of plants currently under construction. Nuclear... | B. Opposed. | college_medicine | biology | ||
math_1354 | math_mc | Let $a,$ $b,$ $c,$ be nonzero real numbers such that $a + b + c = 0.$ Find all possible values of
\[\frac{a^2 b^2}{(a^2 - bc)(b^2 - ac)} + \frac{a^2 c^2}{(a^2 - bc)(c^2 - ab)} + \frac{b^2 c^2}{(b^2 - ac)(c^2 - ab)}.\]Enter all possible values, separated by commas. | A | math_Intermediate Algebra | mathematics | ||
pythonio_491 | pythonio-mc | Program:
import re
def extract_quotation(text1):
return (re.findall(r'"(.*?)"', text1))
Input:
extract_quotation('Cortex "A53" Based "multi" tasking "Processor"')
Output: | D | code | computer_science | ||
aquarat_33245 | deepmind/aqua_rat | 210 college students were asked in a survey if they preferred Windows or Mac brand computers. 90 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. 40 C. 50 D. 60 E. 75 | D. 60 | 210 = 90(Mac) + x(Window) + 60(both) => x=60
ANSWER:D | high_school_statistics | mathematics |
allenai/sciq_2941 | allenai/sciq | Where does evidence that magnetic reversals occur come from?
A. snow
B. air
C. rocks on ocean floor
D. Volcanoes | C. rocks on ocean floor | Scientists don’t know for certain why magnetic reversals occur, but there is hard evidence that they have for hundreds of millions of years. The evidence comes from rocks on the ocean floor. Look at Figure below . They show the same ridge on the ocean floor during different periods of time. | conceptual_physics | physics | |
NLP4Education_449 | NLP4Education | Select the \emph{incorrect} statement. Elliptic Curve Diffie-Hellman is
A. based on the difficulty of factoring the polynomial of EC.
B. based on the difficulty of computing the discrete logarithm in EC.
C. used in Bluetooth 2.1.
D. used for epassports. | A. based on the difficulty of factoring the polynomial of EC. | computer_security | computer_science | ||
allenai/sciq_5726 | allenai/sciq | What type of physical properties of a substance do not depend on amount?
A. intensive
B. extensive
C. stable
D. inherent | A. intensive | All matter has physical and chemical properties. Physical properties are characteristics that scientists can measure without changing the composition of the sample under study, such as mass, color, and volume (the amount of space occupied by a sample). Chemical properties describe the characteristic ability of a substa... | high_school_chemistry | chemistry | |
allenai/sciq_2328 | allenai/sciq | What forms when oceanic crust subducts into the mantle at convergent plate boundaries?
A. glaciers
B. tsunamis
C. coral
D. volcanic mountain ranges | D. volcanic mountain ranges | Volcanic mountain ranges form when oceanic crust subducts into the mantle at convergent plate boundaries. The Andes Mountains are a chain of coastal volcanic mountains. They are forming as the Nazca plate subducts beneath the South American plate ( Figure below ). | college_earth_science | earth_science | |
mmlu_aux_train_81912 | mmlu_aux_train | When I was young, my family got our first computer. As years went by, I wanted to get a new one, and my father agreed. We went to many stores and looked at many flyers . At last we bought an HP computer. During the first week, I noticed that our computer had some problems. I tried to fix it, but failed. Finally I had ... | D. the first one was too old | high_school_computer_science | computer_science | ||
allenai/sciq_381 | allenai/sciq | When a predator kills and eats its prey, what sort of predation is this referred to as?
A. just
B. true
C. predestined
D. false | B. true | True predation is when a predator kills and eats its prey. Some predators of this type, such as jaguars, kill large prey. They tear it apart and chew it before eating it. Others, like bottlenose dolphins or snakes, may eat their prey whole. In some cases, the prey dies in the mouth or the digestive system of the predat... | high_school_biology | biology | |
aquarat_30240 | deepmind/aqua_rat | What is the population standard deviation for the numbers: 75, 83, 96, 100, 121 and 125? | A. 18.2 B. 20 C. 25 D. 26 E. 28 | A. 18.2 | 1. Firstly find the mean:
Mean = (75 + 83 + 96 + 100 + 121 + 125) ÷ 6 = 600 ÷ 6 = 100
2. Next find the variance. To calculate the Variance, take each difference, square it, and then average the result:
(75 - 100)2 + (83 - 100)2 + (96 - 100)2 + (100 - 100)2 + (121 - 100)2 + (125 - 100)2
= (-25)2 + (-17)2 + (-4)2 + (0)2 ... | high_school_statistics | mathematics |
mmlu_aux_train_76942 | mmlu_aux_train | Honey bees are a kind of animal most of us learn about very early. In summer, many people step on honey bees and get stung while walking without wearing shoes. Honey bees are normally about third fourths of an inch long. Most bees are workers, which are female, but some are male, called "drones ". Workers are a little... | B. It will die soon. | high_school_biology | biology | ||
math_1283 | math_mc | A sequence is defined by $a_0 = \frac{1}{2}$ and $a_n = 1 + (a_{n - 1} - 1)^2.$ Compute
\[a_0 a_1 a_2 \dotsm.\] | C | math_Intermediate Algebra | mathematics | ||
math_735 | math_mc | A cube has edges of length 1 cm and has a dot marked in the centre of the top face. The cube is sitting on a flat table. The cube is rolled, without lifting or slipping, in one direction so that at least two of its vertices are always touching the table. The cube is rolled until the dot is again on the top face. Th... | A | math_Geometry | mathematics | ||
pythonio_327 | pythonio-mc | Program:
def remove_similar_row(test_list):
res = set(sorted([tuple(sorted(set(sub))) for sub in test_list]))
return (res)
Input:
remove_similar_row([[(5, 6), (4, 3)], [(3, 3), (5, 7)], [(4, 3), (5, 6)]] )
Output: | D | code | computer_science | ||
math_1894 | math_mc | What is the sum of all values of $x$ for which $\sqrt{(x+3)^{2}} = 7$? | A | math_Prealgebra | mathematics | ||
allenai/sciq_8164 | allenai/sciq | What do osteoblasts secrete that mineralizes to become bone matrix?
A. spongin
B. carbon
C. collagen
D. calcium | C. collagen | Osteoblasts make new bone cells and secrete collagen that mineralizes to become bone matrix. They are responsible for bone growth and the uptake of minerals from the blood. | high_school_biology | biology | |
math_1497 | math_mc | Let $p(x)$ be a polynomial of degree 6 such that
\[p(2^n) = \frac{1}{2^n}\]for $n = 0,$ 1, 2, $\dots,$ 6. Find $p(0).$ | A | math_Intermediate Algebra | mathematics | ||
math_125 | math_mc | The graph of the equation $x + 2y + 3 = 0$ is perpendicular to the graph of the equation $ax + 2y + 3 = 0$. What is the value of $a$? | D | math_Algebra | mathematics | ||
pythonio_58 | pythonio-mc | Program:
def jacobsthal_lucas(n):
dp=[0] * (n + 1)
dp[0] = 2
dp[1] = 1
for i in range(2, n+1):
dp[i] = dp[i - 1] + 2 * dp[i - 2];
return dp[n]
Input:
jacobsthal_lucas(5)
Output: | C | code | computer_science | ||
allenai/sciq_10268 | allenai/sciq | What effect causes an object to appear to have a change of motion?
A. coriolis effect
B. momentum effect
C. resonant effect
D. centrifugal effect | A. coriolis effect | Coriolis is an effect rather than a force. Coriolis does not force a motion. An object appears to have a change of motion due to the Coriolis effect. | conceptual_physics | physics | |
allenai/sciq_3928 | allenai/sciq | What is it called when you touch a charged object to the earth?
A. grounding
B. cooling
C. charging
D. dispersion | A. grounding | The earth is also a conductor. Touching a charged object to the earth is called grounding . When you touch a conductor to the earth, you allow the earth to share the charge. Since the earth is billions of times bigger than the object, the earth takes nearly all of the charge. The charged object that was grounded now ha... | high_school_physics | physics | |
math_1965 | math_mc | My three friends and I have dinner together every weekend. Each weekend, two of us cook and the other two clean up afterwards. How many different ways are there for us to choose who cooks and who cleans? | A | math_Prealgebra | mathematics | ||
allenai/sciq_3221 | allenai/sciq | What magnetism is produced by electricity?
A. diffusion
B. excitation
C. electromagnetism
D. Charges | C. electromagnetism | Magnetism produced by electricity is called electromagnetism . Today, electromagnetism is used in many electric devices. However, until electromagnetism was discovered, scientists thought that electricity and magnetism were unrelated. A Danish scientist named Hans Christian Oersted (pictured in the Figure below ) chang... | conceptual_physics | physics | |
allenai/sciq_2165 | allenai/sciq | What is the term for matter that does not let any light pass through it, whether it absorbs light, reflects light, or does both?
A. obscene
B. opaque
C. devoid
D. artificial | B. opaque | Opaque matter is matter that does not let any light pass through it. Matter may be opaque because it absorbs light, reflects light, or does both. Examples of opaque objects are solid wooden doors and glass mirrors. A wooden door absorbs most of the light that strikes it and reflects just a few wavelengths of visible li... | high_school_physics | physics | |
aquarat_43052 | deepmind/aqua_rat | How many terminating zeroes T does 200! have? | A. 40 B. 48 C. 49 D. 55 E. 64 | C. 49 | You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.C | college_mathematics | mathematics |
allenai/sciq_7452 | allenai/sciq | The mechanics of dynein-based bending involve a process that resembles what?
A. running
B. walking
C. standing
D. jumping | B. walking | college_biology | biology | ||
allenai/sciq_7752 | allenai/sciq | What occurs when two waves combine and cancel each other out?
A. molecular interference
B. primitive interference
C. terrible interference
D. destructive interference | D. destructive interference | Destructive interference occurs when two waves combine and cancel each other out. This occurs when a peak in one wave lines up with a trough in the other wave. | conceptual_physics | physics | |
math_1279 | math_mc | Let $p(x)$ be a quadratic polynomial such that $[p(x)]^3 - x$ is divisible by $(x - 1)(x + 1)(x - 8).$ Find $p(13).$ | C | math_Intermediate Algebra | mathematics | ||
NLP4Education_202 | NLP4Education | You are using a 3-layer fully-connected neural net with \textbf{ReLU activations}. Your input data has components in [0, 1]. \textbf{You initialize your weights by sampling from $\mathcal{N}(-10, 0.1)$ (Gaussians of mean -10 and variance 0.1)}, and set all the bias terms to 0. You start optimizing using SGD. What will ... | A. The gradient is 0 so nothing happens | machine_learning | computer_science | ||
NLP4Education_5 | NLP4Education | Assume a user program executes the following tasks. Select the option that will use a system call.
A. Encrypt "Hello world" using AES.
B. Write "Hello world" to a file.
C. Sort the characters in "Hello world".
D. Reverse the string "Hello world" in memory. | B. Write "Hello world" to a file. | college_computer_science | computer_science | ||
math_1384 | math_mc | Let $a$ and $b$ be positive real numbers such that $a + 2b = 1.$ Find the minimum value of
\[\frac{1}{a} + \frac{1}{b}.\] | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_93179 | mmlu_aux_train | The chemical formula for water is H_{2}O. What does the formula show about each element in the compound?
A. the number of valence electrons
B. the charge of the compound
C. the mass of protons in each atom
D. the number of atoms of each element | D. the number of atoms of each element | high_school_chemistry | chemistry | ||
pythonio_111 | pythonio-mc | Program:
def extract_column(list1, n):
result = [i.pop(n) for i in list1]
return result
Input:
extract_column([[1, 2, 3], [-2, 4, -5], [1, -1, 1]],2)
Output: | B | code | computer_science | ||
mmlu_aux_train_1607 | mmlu_aux_train | According to the periodic table, all of the following are metals except
A. sodium
B. zinc
C. fluorine
D. calcium | C. fluorine | high_school_chemistry | chemistry | ||
math_109 | math_mc | Susie Q has 1000 dollars to invest. She invests some of the money at the Pretty Penny Bank, which compounds annually at 3 percent. She invests the rest of the money at the Five and Dime Bank, which compounds annually at 5 percent. After two years, Susie has a total of $\$1090.02$. How much did Susie Q originally in... | C | math_Algebra | mathematics | ||
math_2088 | math_mc | A prism is constructed so that its vertical edges are parallel to the $z$-axis. Its cross-section is a square of side length 10.
[asy]
import three;
size(180);
currentprojection = perspective(6,3,2);
triple A, B, C, D, E, F, G, H;
A = (1,1,0);
B = (1,-1,0);
C = (-1,-1,0);
D = (-1,1,0);
E = A + (0,0,1);
F = B + (0,... | D | math_Precalculus | mathematics | ||
NLP4Education_373 | NLP4Education | Select the \emph{incorrect} statement.
A. The non-deterministic encryption can encrypt one plaintext into many ciphertexts.
B. The non-deterministic encryption always provides perfect secrecy.
C. Plain RSA encryption is deterministic.
D. ElGamal encryption is non-deterministic. | B. The non-deterministic encryption always provides perfect secrecy. | computer_security | computer_science | ||
mmlu_aux_train_51226 | mmlu_aux_train | Getting a new PC is one thing, Keeping it running smoothly is quite another. While a personal computer should continue to perform well for years, users know that system unsteadiness does exist Yet you can reduce it to the smallest amount by following the tips below . First, put in as little software as possible. You'11... | C. Enlarge its memory to at least 128 MB | computer_security | computer_science | ||
pythonio_599 | pythonio-mc | Program:
def count_vowels(test_str):
res = 0
vow_list = ['a', 'e', 'i', 'o', 'u']
for idx in range(1, len(test_str) - 1):
if test_str[idx] not in vow_list and (test_str[idx - 1] in vow_list or test_str[idx + 1] in vow_list):
res += 1
if test_str[0] not in vow_list and test_str[1] in vow_list:
... | D | code | computer_science | ||
pythonio_866 | pythonio-mc | Program:
def super_seq(X, Y, m, n):
if (not m):
return n
if (not n):
return m
if (X[m - 1] == Y[n - 1]):
return 1 + super_seq(X, Y, m - 1, n - 1)
return 1 + min(super_seq(X, Y, m - 1, n), super_seq(X, Y, m, n - 1))
Input:
super_seq("AGGTAB", "GXTXAYB", 6, 7)
Output: | A | code | computer_science | ||
mmlu_aux_train_80799 | mmlu_aux_train | The days are getting shorter and shorter, and temperatures are dropping. Winter is coming and it is easy for people to catch flu. Many people have started taking vitamin C pills as a precautionary way. But a research has shown that vitamin C pills do not provide as much protection as they think. They are even not as go... | B. provide protection against colds | high_school_biology | biology | ||
math_716 | math_mc | In the diagram, $\triangle PQR$ is right-angled at $P$ and has $PQ=2$ and $PR=2\sqrt{3}$. Altitude $PL$ intersects median $RM$ at $F$. What is the length of $PF$? [asy]
draw((0,0)--(10,0)--(0,10*sqrt(3))--cycle);
draw((0,0)--(7.5,4.33)); draw((0,10*sqrt(3))--(5,0));
draw((6.68,3.86)--(7.17,3.01)--(7.99,3.49));
label(... | B | math_Geometry | mathematics | ||
math_1309 | math_mc | Find a monic cubic polynomial $P(x)$ with integer coefficients such that
\[P(\sqrt[3]{2} + 1) = 0.\](A polynomial is monic if its leading coefficient is 1.) | D | math_Intermediate Algebra | mathematics | ||
allenai/sciq_851 | allenai/sciq | When we move down a group of elements on the periodic table, what happens to their electronegativity?
A. it stays the same
B. it doubles
C. it decreases
D. it increases | C. it decreases | The nonmetals are elements located in the upper right portion of the periodic table. Their properties and behavior are quite different from those of metals on the left side. Under normal conditions, more than half of the nonmetals are gases, one is a liquid, and the rest include some of the softest and hardest of solid... | high_school_chemistry | chemistry | |
mmlu_aux_train_36968 | mmlu_aux_train | It was a long week for Amanda at school. She stayed after school to work on a special project three days in a row. When she got home on Friday, she dropped into the chair with a sigh. "What's going on, Amanda?" her dad asked as he was reading the newspaper. "I have to create a webpage for my technology class, and it i... | C. She was worried about her school project. | high_school_computer_science | computer_science | ||
aquarat_59046 | deepmind/aqua_rat | For which of the following functions is f(e) = f(−e) for all values of e ? | A. f(x) = x^3 + 3 B. f(x) = −x C. f(x) = 2x + 3 D. f(e) = −e^2 + 2 E. f(x) = 5x − 4 | D. f(e) = −e^2 + 2 | f(e) = f(−e)
The above is a property of an even function .
f(e) = f^(n)
f(e) = f(−e) will hold when n is an even integer .
The only case when e is even is option D
Answer D | college_mathematics | mathematics |
math_1702 | math_mc | Express $0.\overline{1}+0.\overline{02}+0.\overline{003}$ as a common fraction. | C | math_Number Theory | mathematics | ||
pythonio_858 | pythonio-mc | Program:
def remove_tuple(test_list):
res = [sub for sub in test_list if not all(ele == None for ele in sub)]
return (str(res))
Input:
remove_tuple([(None, None), (None, None), (3, 6), (17, 3), (None,1 )] )
Output: | A | code | computer_science | ||
mmlu_aux_train_87460 | mmlu_aux_train | If you want to find out a piece of information about anything , the best place to search for it is Wikepedia. This online encyclopedia is written by thousands of people around the world. Anyone can add or change the information if he or she finds it not correct or not well written. In this way, people who know a lot ab... | D. an online encyclopedia | high_school_computer_science | computer_science | ||
math_403 | math_mc | Suppose that $\{a_n\}$ is an arithmetic sequence with $$
a_1+a_2+ \cdots +a_{100}=100 \quad \text{and} \quad
a_{101}+a_{102}+ \cdots + a_{200}=200.
$$What is the value of $a_2 - a_1$? Express your answer as a common fraction. | C | math_Algebra | mathematics | ||
allenai/sciq_11501 | allenai/sciq | Which state of matter lacks a fixed volume, fixed shape, and consists of charged particles?
A. atoms
B. ions
C. isotopes
D. electrons | B. ions | Plasma is a state of matter that lacks a fixed volume and a fixed shape and consists of charged particles called ions. Because it consists of charged particles, plasma can conduct electricity and respond to a magnetic field. | high_school_chemistry | chemistry | |
aquarat_72010 | deepmind/aqua_rat | If f(x) = 2x + 3, & g(x) = (x - 3)/2, then what is the value of, fo(fo(go(go(fo(fo(go(go................(fo(fo(go(gof(x) )))).....)))))) ? | A. 3 B. 2 C. 9 D. 7 E. 1 | D. 7 | f(x) = 2x + 3
g(x) = (x - 3)/2
gof(x) = 2x+3−32=x2x+3−32=x
gogof(x) = x−32x−32
fogogof(x) = 2(x−32)+32(x−32)+3 = 2x−6+622x−6+62 = x
fofogogof(x) = 2x + 3
This means, when we apply two times g(x) and two time f(x) on f(x) we get f(x). This pattern continues, Hence the answer is option (D). | college_mathematics | mathematics |
NLP4Education_339 | NLP4Education | A query \(q\) has been submitted to two distinct Information Retrieval engines operating on the same document collection containing 1,000 documents, with 50 documents being truly relevant for \(q\). The following result lists have been produced by the two IR engines, \(S_1\) and \(S_2\) respectively:
\(S_1\text{:}\)
\... | B. \(S_2\) | computer_security | computer_science | ||
math_1361 | math_mc | Let $r$ be the positive real solution to $x^3 + \frac{2}{5} x - 1 = 0.$ Find the exact numerical value of
\[r^2 + 2r^5 + 3r^8 + 4r^{11} + \dotsb.\] | B | math_Intermediate Algebra | mathematics | ||
allenai/sciq_1979 | allenai/sciq | Earth's temperature will increase further as more of what colorfully nicknamed gases are put into the atmosphere?
A. greenhouse gases
B. green dioxide gases
C. bluehouse gases
D. blue dioxide gases | A. greenhouse gases | Current Situation : Currently the heating effect of extra greenhouse gases (since the start of the industrial revolution) is equal to about . Thus the recent period has recorded parallel increases in concentration of carbon dioxide and average global temperature. As more greenhouse gases are put into the atmosphere the... | high_school_physics | physics | |
math_1002 | math_mc | A square pyramid has a base edge of 32 inches and an altitude of 1 foot. A square pyramid whose altitude is one-fourth of the original altitude is cut away at the apex of the original pyramid. The volume of the remaining frustum is what fractional part of the volume of the original pyramid? | C | math_Geometry | mathematics | ||
math_1793 | math_mc | Two circles, one of radius 5 inches, the other of radius 2 inches, are tangent at point P. Two bugs start crawling at the same time from point P, one crawling along the larger circle at $3\pi$ inches per minute, the other crawling along the smaller circle at $2.5\pi$ inches per minute. How many minutes is it before the... | D | math_Number Theory | mathematics | ||
math_995 | math_mc | In the triangle shown, $n$ is a positive integer, and $\angle A > \angle B > \angle C$. How many possible values of $n$ are there? [asy]
draw((0,0)--(1,0)--(.4,.5)--cycle);
label("$A$",(.4,.5),N); label("$B$",(1,0),SE); label("$C$",(0,0),SW);
label("$2n + 12$",(.5,0),S); label("$3n - 3$",(.7,.25),NE); label("$2n + 7$"... | D | math_Geometry | mathematics | ||
math_1975 | math_mc | Let $\Delta ABC$ be an equilateral triangle. How many squares in the same plane as $\Delta ABC$ share two vertices with the triangle? | C | math_Prealgebra | mathematics | ||
mmlu_aux_train_96150 | mmlu_aux_train | What are formed by natural geological processes?
A. animals
B. lifeless matter
C. air flow
D. companies | B. lifeless matter | earth_science | earth_science | ||
allenai/sciq_2073 | allenai/sciq | What does the coefficient in front of an element in a formula indicate?
A. place on the Periodic Table
B. time of the reaction
C. how much is involved in the reaction
D. number of atoms | C. how much is involved in the reaction | In chemical equations, reactants and products are represented by chemical symbols and formulas. Numbers called coefficients are placed in front of the symbols and formulas to show how much of each substance is involved in the reaction. | high_school_chemistry | chemistry |
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