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_50
NLP4Education
What could Out of Vocabulary (OoV) forms consist of? Select all that apply. A penalty will be applied for wrong answers. A. Words from the lexicon B. Neologisms C. Words commonly used in standard dictionaries D. Frequently used function words
B. Neologisms
machine_learning
computer_science
mmlu_aux_train_8452
mmlu_aux_train
Rare birds in the UK have been living far better than the more common birds over the last decade due to the efforts of conservation organisations, according to a new assessment. The research shows almost 60% of the 63 rare birds that live in the UK have increased over the last 10 years. By contrast, only about one thir...
B. The UK has got some practical experience of bird conservation.
high_school_biology
biology
allenai/sciq_6240
allenai/sciq
What happens if a catalyst runs out? A. reaction slows B. variety increases C. variety slows D. reaction increases
A. reaction slows
Chemistry in Everyday Life Transition Metal Catalysts One of the most important applications of transition metals is as industrial catalysts. As you recall from the chapter on kinetics, a catalyst increases the rate of reaction by lowering the activation energy and is regenerated in the catalytic cycle. Over 90% of all...
high_school_chemistry
chemistry
NLP4Education_82
NLP4Education
Which of the following is true? A. High precision always leads to high recall. B. High recall can sometimes reduce precision. C. High recall always leads to high precision. D. High precision and recall are unrelated.
B. High recall can sometimes reduce precision.
machine_learning
computer_science
mmlu_aux_train_2812
mmlu_aux_train
A teacher opens a can of food in the front of a classroom. Soon, all of the students in the classroom can smell the food. Which statement identifies a property of a gas that allows all of the students to smell the food? A. A gas has no mass. B. A gas has a large mass. C. A gas takes the shape of its container. D. A ga...
C. A gas takes the shape of its container.
high_school_physics
physics
mmlu_aux_train_93991
mmlu_aux_train
When a hammer strikes a nail, the nail A. exerts balanced forces that helps it from moving. B. exerts a force equal to the weight of the hammer. C. exerts an unbalanced force that changes its velocity. D. exerts an equal and opposite force back on the hammer.
D. exerts an equal and opposite force back on the hammer.
conceptual_physics
physics
NLP4Education_653
NLP4Education
In which of the following groups is the decisional Diffie-Hellman problem (DDH) believed to be hard? A. In $\mathbb{Z}_p$, with a large prime $p$. B. In a large subgroup of smooth order of a “regular” elliptic curve. C. In a large subgroup of prime order of $\mathbb{Z}_p^*$, such that $p$ is a large prime. D. In $\math...
C. In a large subgroup of prime order of $\mathbb{Z}_p^*$, such that $p$ is a large prime.
computer_security
computer_science
allenai/sciq_7238
allenai/sciq
What of a electromagnetic wave can be calculated using the wave equation due to their speed always being constant? A. resonance B. oscillation C. sound D. frequency
D. frequency
Green light has a higher frequency than microwaves. It is possible to calculate it, but since the speed of an electromagnetic wave is constant we know that waves with higher wavelengths must have a lower frequency based on the wave equation.
conceptual_physics
physics
mmlu_aux_train_86477
mmlu_aux_train
New rules and behaviour standards for middle school students have come out. The middle school is going to use a new way to decide who the top students are. The best students won't only have high marks. They will also be kids who don't smoke, drink or dye their hair. The following are some of the new rules. Tell the...
B. what is right and what is wrong
high_school_computer_science
computer_science
mmlu_aux_train_15592
mmlu_aux_train
Teenagers who spend hours in front of the television may have a poorer diet as young adults. A study, which included nearly 1,400 high school students, found that those who watched TV for five hours or more per day had less healthy diets than their peers five years later. Why does this happen? Should the parents ...
B. Teenagers' TV time may affect their diets later
high_school_biology
biology
math_1184
math_mc
Find the quadratic function $f(x) = x^2 + ax + b$ such that \[\frac{f(f(x) + x)}{f(x)} = x^2 + 1776x + 2010.\]
C
math_Intermediate Algebra
mathematics
math_2075
math_mc
Equilateral triangle $ABC$ has side length $\sqrt{111}$. There are four distinct triangles $AD_1E_1$, $AD_1E_2$, $AD_2E_3$, and $AD_2E_4$, each congruent to triangle $ABC$, with $BD_1 = BD_2 = \sqrt{11}$. Find $\sum_{k=1}^4(CE_k)^2$.
D
math_Precalculus
mathematics
pythonio_911
pythonio-mc
Program: def get_item(tup1,index): item = tup1[index] return item Input: get_item(("w", 3, "r", "e", "s", "o", "u", "r", "c", "e"),-4) Output:
C
code
computer_science
NLP4Education_811
NLP4Education
Let \(A = \{a, b, c, d, ..., z\}\) be the set of lower cased English letters. Let \(S = \{a, b, ab, cd, ae, xy, ord, ...\}\) be the set of all strings using \(A\) as an alphabet. Given \(s\in S\), \(N(s)\) is the number of vowels in \(s\). For example, \(N(algrzqi) = 2\), \(N(bebebe) = 3\). We say \((s, t)\) belong...
D. \(R\) is transitive.
formal_logic
mathematics
mmlu_aux_train_97694
mmlu_aux_train
A foot uses force on spheres in A. baseball B. kickball C. golf D. hockey
B. kickball
high_school_physics
physics
mmlu_aux_train_1235
mmlu_aux_train
Which is the thickest layer of Earth? A. crust B. inner core C. mantle D. outer core
C. mantle
college_physics
physics
mmlu_aux_train_52207
mmlu_aux_train
"NOW I just don't believe that. "Surely all of us, at some point, have watched a movie and thought: It's simply badly researched,or the makers must think we're fools. Recently, The Daily Telegraph ran a humorous piece on untrue tech moments from some top movies. Let's see what they are all about. Tom Chiver, the writer...
A. It's a science fiction movie.
high_school_computer_science
computer_science
aquarat_34964
deepmind/aqua_rat
IF GO=32& SHE=49 the SOME will be equal to?
A. 56 B. 58 C. 62 D. 64 E. 66
A. 56
If we count letters till the end of the alphabet including that letter in reverse order then G = 20 and O = 12 totaling 32 S = 8, H = 19 and E = 22 totaling 49 So SOME = 8 + 12 + 14 + 22 = 56 ANSWER:A
formal_logic
mathematics
mmlu_aux_train_62747
mmlu_aux_train
Coca-Cola is probably the most famous brand in the world, and in some areasyou can even access it easier than clean drinkable water. Although the company is trying to present itself as a health-conscious company, you can't really say that drinking cola is healthy for you. Still, we all drink cola, some more and some le...
C. Make pennies shiny.
high_school_chemistry
chemistry
math_760
math_mc
One base of a trapezoid is $100$ units longer than the other base. The segment that joins the midpoints of the legs divides the trapezoid into two regions whose areas are in the ratio $2: 3$. Let $x$ be the length of the segment joining the legs of the trapezoid that is parallel to the bases and that divides the trapez...
C
math_Geometry
mathematics
pythonio_264
pythonio-mc
Program: def tuple_modulo(test_tup1, test_tup2): res = tuple(ele1 % ele2 for ele1, ele2 in zip(test_tup1, test_tup2)) return (res) Input: tuple_modulo((10, 4, 5, 6), (5, 6, 7, 5)) Output:
A
code
computer_science
math_1512
math_mc
There exist positive integers $a,$ $b,$ and $c$ such that \[3 \sqrt{\sqrt[3]{5} - \sqrt[3]{4}} = \sqrt[3]{a} + \sqrt[3]{b} - \sqrt[3]{c}.\]Find $a + b + c.$
A
math_Intermediate Algebra
mathematics
math_1063
math_mc
A wooden cube, whose edges are one centimeter long, rests on a horizontal surface. Illuminated by a point source of light that is $x$ centimeters directly above an upper vertex, the cube casts a shadow on the horizontal surface. The area of the shadow, which does not include the area beneath the cube is 48 square centi...
C
math_Geometry
mathematics
allenai/sciq_9477
allenai/sciq
What happens during the process of digestion? A. regurgitation B. cell division C. breakdown of food D. excretion of food
C. breakdown of food
The digestive system consists of organs that break down food, absorb nutrients, and eliminate waste. The breakdown of food occurs in the process of digestion.
high_school_biology
biology
mmlu_aux_train_99097
mmlu_aux_train
An exertion on a thing that is going against the thing's intended direction, when in motion will A. melt it B. oppose it C. speed it up D. burn it
B. oppose it
high_school_physics
physics
mmlu_aux_train_93281
mmlu_aux_train
A salvage yard contains a mixture of iron, glass, aluminum, and plastic. Which property of iron does the salvage yard take advantage of when separating the iron from the rest of the materials? A. magnetic B. electrical C. ductility D. malleability
A. magnetic
high_school_physics
physics
NLP4Education_500
NLP4Education
Tick the \emph{correct} assertion concerning WPA2 A. WPA2 uses RC4. B. WPA2 uses AES. C. WPA2 uses 64-bit keys. D. WPA2 is badly broken.
B. WPA2 uses AES.
computer_security
computer_science
allenai/sciq_9978
allenai/sciq
What do solar cells convert the energy in sunlight into? A. free energy B. electrical energy C. subsequent energy D. experimental energy
B. electrical energy
Solar cells convert the energy in sunlight to electrical energy. They contain a material such as silicon that absorbs light energy and gives off electrons. The electrons flow and create electric current. Figure below and the animation at the URL below show how a solar cell uses light energy to produce electric current ...
high_school_physics
physics
aquarat_10766
deepmind/aqua_rat
Score Interval Number of Scores 50-59 2 60-69 10 70-79 14 80-89 27 90-99 18 The table shows a distribution of test scores. Which score interval contains the median of the 71 scores?
A. a) 60-69 B. b) 70-79 C. c) 80-89 D. d) 90-99 E. e) Cannot determine.
C. c) 80-89
36th person 80-89 C
high_school_statistics
mathematics
math_1047
math_mc
Let $P_1$ be a regular $r~\mbox{gon}$ and $P_2$ be a regular $s~\mbox{gon}$ $(r\geq s\geq 3)$ such that each interior angle of $P_1$ is $\frac{59}{58}$ as large as each interior angle of $P_2$. What's the largest possible value of $s$?
B
math_Geometry
mathematics
math_405
math_mc
If $f(x)=\dfrac{x-3}{x-4}$, then for what value of $x$ is $f^{-1}(x)$ undefined?
D
math_Algebra
mathematics
mmlu_aux_train_99787
mmlu_aux_train
What would a sedimentary rock likely hold? A. a trilobyte B. a cookie C. a wheatgrass shake D. a diner
A. a trilobyte
college_earth_science
earth_science
pythonio_480
pythonio-mc
Program: M = 100 def maxAverageOfPath(cost, N): dp = [[0 for i in range(N + 1)] for j in range(N + 1)] dp[0][0] = cost[0][0] for i in range(1, N): dp[i][0] = dp[i - 1][0] + cost[i][0] for j in range(1, N): dp[0][j] = dp[0][j - 1] + cost[0][j] for i in range(1, N): for j in range(1, N): ...
D
code
computer_science
mmlu_aux_train_97696
mmlu_aux_train
Classes and categories are both part of A. distraction B. confusion C. control D. designating
D. designating
formal_logic
mathematics
mmlu_aux_train_99252
mmlu_aux_train
Why would something appear blue? A. it reflects the same wavelength as fire B. it reflects the same wavelength as coal C. it reflects the same wavelength as the sun D. it reflects the same wavelength as the sea
D. it reflects the same wavelength as the sea
college_physics
physics
pythonio_577
pythonio-mc
Program: import math def is_polite(n): n = n + 1 return (int)(n+(math.log((n + math.log(n, 2)), 2))) Input: is_polite(4) Output:
A
code
computer_science
allenai/sciq_5888
allenai/sciq
What does the moon not have to protect it from extreme temperatures? A. metals B. atmosphere C. oceans D. oxygen
B. atmosphere
The Moon has no atmosphere. With no atmosphere, the Moon is not protected from extreme temperatures. The average surface temperature during the day is approximately 107°C (225°F). Daytime temperatures can reach as high as 123°C (253°F). At night, the average temperature drops to -153°C (-243°F). The lowest temperatures...
astronomy
physics
math_576
math_mc
Tom has a red marble, a green marble, a blue marble, and three identical yellow marbles. How many different groups of two marbles can Tom choose?
D
math_Counting & Probability
mathematics
NLP4Education_526
NLP4Education
Tick the \textit{wrong} assertion. A. Factoring is believed to be a hard problem. B. Factoring is easy if we know $\varphi{(n)}$. C. Computing square roots in $\mathbb{Z}_n$ can be used to factor $n$. D. Discrete logarithm problem is always hard on any group.
D. Discrete logarithm problem is always hard on any group.
abstract_algebra
mathematics
mmlu_aux_train_61870
mmlu_aux_train
What is more important to a high school student than being popular? Anyone who has ever gone to high school or at least seen a John Hughes' movie knows the answer to that question. When Theresa Sommers first discovered MySpace three years ago, the teen from Minneapolis, St. Paul thought she had found the real high scho...
C. Life of high school students.
high_school_computer_science
computer_science
allenai/sciq_2836
allenai/sciq
What covers the body of a fish to help the move their body to swim? A. gelatin B. scales C. hairs D. skin
B. scales
Fish are covered with scales. Scales are overlapping tissues, like shingles on a roof. They reduce friction with the water. They also provide a flexible covering that lets fish move their body to swim.
high_school_biology
biology
NLP4Education_532
NLP4Education
The Kerckhoffs principle says that A. the design of a cryptosystem has to be public to be secure. B. the security of a system should not rely on the secrecy of the cryptosystem. C. a cryptosystem should have a public component (such as a key) to be secure. D. the design of a cryptosystem has to be secure before being m...
B. the security of a system should not rely on the secrecy of the cryptosystem.
computer_security
computer_science
allenai/sciq_9435
allenai/sciq
What is the supply of water to land or crops to help growth called? A. irrigation B. absorbtion C. precipitation D. drainage
A. irrigation
Some of the problems associated with intensive irrigation include all but.
high_school_biology
biology
mmlu_aux_train_35319
mmlu_aux_train
April 2009, in the state of Georgia, USA, twenty thousand people watched high school students from twenty- eight countries compete with robots they had built. More than ten thousand students and more than five hundred robots took part in the competition. Almost 1,700 high school teams took part in the competition call...
B. throw the most balls into the trailers of the opposing robots
high_school_computer_science
computer_science
allenai/sciq_5465
allenai/sciq
Ionic compound atoms of various elements gain or lose electrons to? A. expel ions B. produce ions C. become ions D. flatten ions
B. produce ions
So far we have looked at ionic compounds, in which atoms of various elements gain or lose electrons to produce ions. The resulting ions are held together by strong attractions between oppositely charged particles. However, this only works for bonds between atoms in which one partner (the metal) has a tendency to lose e...
high_school_chemistry
chemistry
math_1147
math_mc
Let $x,$ $y,$ and $z$ be three positive real numbers whose sum is 1. If no one of these numbers is more than twice any other, then find the minimum value of the product $xyz.$
D
math_Intermediate Algebra
mathematics
allenai/sciq_7061
allenai/sciq
What causes a meteoroid to vaporize after it enters the atmosphere? A. friction with atmosphere B. atmospheric pressure C. spontaneous combustion D. gravitational pull
A. friction with atmosphere
A meteoroid is dragged toward Earth by gravity and enters the atmosphere. Friction with the atmosphere heats the object quickly, so it starts to vaporize. As it flies through the atmosphere, it leaves a trail of glowing gases. The object is now a meteor. Most meteors vaporize in the atmosphere. They never reach Earth’s...
astronomy
physics
mmlu_aux_train_59497
mmlu_aux_train
On warm summer days with little or no wind, the air temperature in cities can be up to ten degrees higher than that of the surrounding countryside. This is a phenomenon commonly referred to as the "urban heat island" effect. This phenomenon happens when pavement, buildings, and other infrastructure replace natural la...
C. The blocking of solar radiation
environmental_science
earth_science
aquarat_95265
deepmind/aqua_rat
Find all rational zeros of P(x) = x3 - 7x + 6.
A. x=1,2,-3 B. x=2,2,-5 C. x=7,4,-8 D. x=6,6,-9 E. x=2,1,-3
A. x=1,2,-3
P(x) = x3 - 7x + 6 : given leading coefficient 1 and its factors are : +1,-1 constant term is 6 and its factors are : +1,-1,+2,-2,+3,-3,+6,-6 possible rational zeros : +1,-1,+2,-2,+3,-3,+6,-6 test : P(1) = 0, P(2) = 0 and P(-3) = 0 x = 1, x = 2 and x = -3 are the zeros of P(x). correct answer A
college_mathematics
mathematics
mmlu_aux_train_98702
mmlu_aux_train
One type of electrical circuit that requires a switch could be A. running B. diving C. dimming table lights D. swimming
C. dimming table lights
electrical_engineering
engineering
allenai/sciq_4155
allenai/sciq
Converging plates can be oceanic, continental, or one of each. if at least one is oceanic, it will subduct. a subducting plate creates what? A. earthquakes B. volcanoes C. wind D. fires
B. volcanoes
Converging plates can be oceanic, continental, or one of each. If at least one is oceanic, it will subduct. A subducting plate creates volcanoes. Many of the world's volcanoes are the result of subduction at a convergent plate boundary. A map of the world's active volcanoes is pictured below ( Figure below ).
college_geology
earth_science
NLP4Education_492
NLP4Education
Let $n$ be an integer. The extended Euclidean algorithm is typically used to\dots A. perform the addition of two integers in $\mathbf{Z}_n^*$. B. compute the inverse of an element in $\mathbf{Z}_n^*$. C. compute the square of an element of $\mathbf{Z}_n^*$. D. compute the order of $\mathbf{Z}_n^*$.
B. compute the inverse of an element in $\mathbf{Z}_n^*$.
abstract_algebra
mathematics
pythonio_679
pythonio-mc
Program: def sum_column(list1, C): result = sum(row[C] for row in list1) return result Input: sum_column( [[1,2,3,2],[4,5,6,2],[7,8,9,5],],1) Output:
B
code
computer_science
aquarat_65449
deepmind/aqua_rat
For which of the following functions f is f(y) = f(1-y) for all of y?
A. f(y) = 3y + 2 B. f(y) = 1-y^2 C. f(y) = 4y^2 * (2-2y)^2 D. f(y) = y/(y-1) E. f(y) = y/(y+1)
C. f(y) = 4y^2 * (2-2y)^2
y = 2 a) f(2) = 6*2 + 2 = 14; f(-1) = -3 + 2 = -1 NO b) f(2) =1 - 2^2 = 1 - 4 = -3 ; f(-1) = 1 - (-1)^2 = 1 - 1 = 0 NO c) f(2) = 4*2^2 * (2-2*2)^2 = 4*4 * (2-4)^2 = 16 * 4; f(-1) = 4*1 * (2-2(-1))^2 = 4 * (2+2)*2 = 4 * 16 YES Here we could stop and safely pick the number without doing d & e, but just in case: d) f(2) =...
college_mathematics
mathematics
math_4
math_mc
If $f(x)=\frac{ax+b}{cx+d}, abcd\not=0$ and $f(f(x))=x$ for all $x$ in the domain of $f$, what is the value of $a+d$?
B
math_Algebra
mathematics
allenai/sciq_7604
allenai/sciq
What in saliva protects the lining of the mouth from abrasion and lubricates food for easier swallowing? A. hairs B. mucus C. phloem D. spores
B. mucus
college_biology
biology
mmlu_aux_train_64979
mmlu_aux_train
Kids love the all-knowing Google. Your kids likely use Google to help them find everything from information for homework assignments, to funny cat videos, and everything in between. Sometimes kids can take a "wrong turn" on Google and end up in a dark part of the Internet where they shouldn't be. Thankfully, Google has...
B. To find everything except information and funny cat videos.
computer_security
computer_science
pythonio_928
pythonio-mc
Program: import re def split_list(text): return (re.findall('[A-Z][^A-Z]*', text)) Input: split_list("LearnToBuildAnythingWithGoogle") Output:
A
code
computer_science
allenai/sciq_11520
allenai/sciq
Alkenes can react with what to form alcohols? A. sugars B. proteins C. water D. air
C. water
Alkenes can react with water to form alcohols.
high_school_chemistry
chemistry
math_1341
math_mc
Let $x,$ $y,$ $z$ be real numbers, all greater than 3, so that \[\frac{(x + 2)^2}{y + z - 2} + \frac{(y + 4)^2}{z + x - 4} + \frac{(z + 6)^2}{x + y - 6} = 36.\]Enter the ordered triple $(x,y,z).$
C
math_Intermediate Algebra
mathematics
pythonio_405
pythonio-mc
Program: def smallest_Divisor(n): if (n % 2 == 0): return 2; i = 3; while (i*i <= n): if (n % i == 0): return i; i += 2; return n; Input: smallest_Divisor(31) Output:
B
code
computer_science
math_116
math_mc
Let \[f(n) = \left\{ \begin{array}{cl} n^2-2 & \text{ if }n<0, \\ 2n-20 & \text{ if }n \geq 0. \end{array} \right.\]What is the positive difference between the two values of $a$ that satisfy the equation $f(-2)+f(2)+f(a)=0$?
D
math_Algebra
mathematics
allenai/sciq_5110
allenai/sciq
Oxidation does not necessarily require heating. which is the common and natural method of oxidation? A. ageing B. fermentation C. rusting D. boiling
C. rusting
Oxidation does not necessarily require heating. Iron that is exposed to air and water slowly oxidizes in a process commonly known as rusting. Bleaches contain various compounds such as sodium hypochlorite (NaClO), which release oxygen that oxidizes stains. Hydrogen peroxide (H 2 O 2 ) releases oxygen as it spontaneousl...
high_school_chemistry
chemistry
mmlu_aux_train_33248
mmlu_aux_train
Studying volcanoes is a demanding profession. Hazel Rymer frequently has to struggle through rainforests, climb to the top of mountains, then climb 200 metres into the crater of active volcanoes. But the 38-year-old volcanologist does her best to make it sound less alarming than it is. "Driving to work is more risky," ...
D. Hazel is being modest and understating the dangers she faces
astronomy
physics
mmlu_aux_train_16437
mmlu_aux_train
Amy and Mark Blaubach were very excited about adopting a child from an orphanage . They thought they would adopt a baby girl. After waiting one and a half years, the social worker asked them to consider adopting a six-year-old boy named Jerry. After the adoption papers were signed, Amy asked if Jerry had a good friend...
C. he missed his friend very much
high_school_biology
biology
mmlu_aux_train_36720
mmlu_aux_train
Google is testing its newest high-tech device, Google Glass. Most of the technologies for Google Glass are already available on smart phones. Google has taken those same technologies and added them to eyeglass frames . The company describes the glasses as wearable computers that would change the way people view others ...
B. mostly already in use for smartphones
high_school_computer_science
computer_science
allenai/sciq_5572
allenai/sciq
Carbon-14 dating is a method of what kind of dating? A. orbital B. radiometric C. metamorphic D. stratigraphy
B. radiometric
The best-known method of radiometric dating is carbon-14 dating . A living thing takes in carbon-14 (along with stable carbon-12). As the carbon-14 decays, it is replaced with more carbon-14. After the organism dies, it stops taking in carbon. That includes carbon-14. The carbon-14 that is in its body continues to deca...
college_geology
earth_science
allenai/sciq_2144
allenai/sciq
Learning to get used to something after being exposed to it for a while is associated with what kind of learning? A. dissociation B. habituation C. association D. assimilation
B. habituation
Habituation is learning to get used to something after being exposed to it for a while. Habituation usually involves getting used to something that is annoying or frightening, but not dangerous. Habituation is one of the simplest ways of learning. It occurs in just about every species of animal.
college_biology
biology
math_2182
math_mc
How many solutions of the equation $\tan x = \tan (\tan x)$ are on the interval $0 \le x \le \tan^{-1} 942$? (Here $\tan^{-1}$ means the inverse tangent function, sometimes written $\arctan$.) Note: You can assume the result that $\tan \theta > \theta$ for $0 < \theta < \frac{\pi}{2}.$
D
math_Precalculus
mathematics
math_581
math_mc
Rachel has two identical basil plants and an aloe plant. She also has two identical white lamps and two identical red lamps she can put each plant under (she can put more than one plant under a lamp, but each plant is under exactly one lamp). How many ways are there for Rachel to put her plants under her lamps?
A
math_Counting & Probability
mathematics
aquarat_89487
deepmind/aqua_rat
If f is a function defined for all k by f(k) = k^(2/3)/16, what is f(8 k) in terms of f(k)?
A. 1/8 f(k) B. 5/8 f(k) C. 4 f(k) D. 10 f(k) E. 32 f(k)
C. 4 f(k)
f(k) = (k^(2/3)) /16 f(8 k) = (8 k)^( 2/3)/16 = 4 k^(2/3)/16 = 4 * (k^(2/3)/16) =4 f(k). So answer is C.
college_mathematics
mathematics
allenai/sciq_7588
allenai/sciq
What is the process of making atp without oxygen called? A. condensation B. fermentation C. photosynthesis D. Cell Division
B. fermentation
An important way of making ATP without oxygen is called fermentation . It involves glycolysis, but not the other two stages of aerobic respiration. Many bacteria and yeasts carry out fermentation. People use these organisms to make yogurt, bread, wine, and biofuels. Human muscle cells also use fermentation. This occurs...
college_biology
biology
math_1093
math_mc
A right cylindrical oil tank is $15$ feet tall and its circular bases have diameters of $4$ feet each. When the tank is lying flat on its side (not on one of the circular ends), the oil inside is $3$ feet deep. How deep, in feet, would the oil have been if the tank had been standing upright on one of its bases? Express...
D
math_Geometry
mathematics
allenai/sciq_627
allenai/sciq
There is a predictable amount of solute that can be dissolved at what? A. light speed B. specific temperature C. flat rate D. room temperature
B. specific temperature
There is a predictable amount of solute that can be dissolved at a specific temperature.
high_school_chemistry
chemistry
allenai/sciq_1817
allenai/sciq
In police radar, a radar gun sends out short bursts of which waves? A. electrodes B. photons C. soundwaves D. microwaves
D. microwaves
Radar stands for ra dio d etection and r anging. In police radar, a radar gun sends out short bursts of microwaves. The microwaves reflect back from oncoming vehicles and are detected by a receiver in the radar gun. The frequency of the reflected waves is used to compute the speed of the vehicles. Radar is also used fo...
conceptual_physics
physics
mmlu_aux_train_28904
mmlu_aux_train
Did you know that there are actually people who have paid for a flight to the moon? In the future, there will be a lot more opportunities to travel to faraway places than now... perhaps even as far as the moon. As people adventure further and further away and as planes, trains, cars, and rocket ships become faster, is ...
B. Technology of Future Travel
high_school_computer_science
computer_science
mmlu_aux_train_97330
mmlu_aux_train
Which is true? A. the moon is a source of light with powerful nuclear reactions B. the sun is a source of evil with powerful nuclear reactions C. the sun is a source of light with weak, low-temperature reactions D. the sun is a source of light with powerful nuclear reactions
D. the sun is a source of light with powerful nuclear reactions
astronomy
physics
allenai/sciq_2633
allenai/sciq
What is the term for a solution that resists dramatic changes in ph? A. inert B. buffer C. stable D. neutral
B. buffer
As indicated in Section 12.4 "Strong and Weak Acids and Bases and Their Salts", weak acids are relatively common, even in the foods we eat. But we occasionally encounter a strong acid or base, such as stomach acid, which has a strongly acidic pH of 1.7. By definition, strong acids and bases can produce a relatively lar...
college_chemistry
chemistry
allenai/sciq_1956
allenai/sciq
Ingestive protists extend their cell wall and cell membrane around the food item, forming a what? A. food vacuole B. fuel vacuole C. protective bubble D. food pocket
A. food vacuole
Ingestive protists ingest, or engulf, bacteria and other small particles. They extend their cell wall and cell membrane around the food item, forming a food vacuole . Then enzymes digest the food in the vacuole.
high_school_biology
biology
NLP4Education_395
NLP4Education
Let $p$ be a prime number and $n$ be an integer. What is the order of $\mathrm{GF}(p^n)$? A. $p^n$ B. $p^n-1$ C. $p^{n-1}$ D. $1-p^n$
A. $p^n$
abstract_algebra
mathematics
allenai/sciq_5968
allenai/sciq
Binary compounds of carbon with less electronegative elements are called what? A. carborane B. carbides C. oxides D. alkaloids
B. carbides
Note the Pattern Pi bonds between carbon and the heavier chalcogenides are weak due to poor orbital overlap. Binary compounds of carbon with less electronegative elements are called carbides. The chemical and physical properties of carbides depend strongly on the identity of the second element, resulting in three gener...
high_school_chemistry
chemistry
pythonio_606
pythonio-mc
Program: def unique_sublists(list1): result ={} for l in list1: result.setdefault(tuple(l), list()).append(1) for a, b in result.items(): result[a] = sum(b) return result Input: unique_sublists([[1, 3], [5, 7], [1, 3], [13, 15, 17], [5, 7], [9, 11]]) Output:
D
code
computer_science
math_1658
math_mc
Let $S$ be the set of integers between $1$ and $2^{40}$ whose binary expansions have exactly two $1$'s. If a number is chosen at random from $S,$ the probability that it is divisible by $9$ is $p/q,$ where $p$ and $q$ are relatively prime positive integers. Find $p+q.$
B
math_Number Theory
mathematics
mmlu_aux_train_6686
mmlu_aux_train
BOGOTA (Reuters) -- Colombian mobile telephone users are being tricked by criminals who pretend to be phone operators and instruct them to turn off their cellphones just long enough to demand a large amount of money from their families. prefix = st1 /Colombia has seen a large number of cases in which mobile phone custo...
B. Cellphone users receive messages from criminals.
computer_security
computer_science
mmlu_aux_train_1667
mmlu_aux_train
Sugar is composed of carbon, hydrogen, and oxygen. Sugar is an example of which of the following? A. an atom B. a compound C. an electron D. a mixture
B. a compound
high_school_chemistry
chemistry
math_1813
math_mc
How many even perfect square factors does $2^4 \cdot 7^9$ have?
C
math_Number Theory
mathematics
pythonio_362
pythonio-mc
Program: def Repeat(x): _size = len(x) repeated = [] for i in range(_size): k = i + 1 for j in range(k, _size): if x[i] == x[j] and x[i] not in repeated: repeated.append(x[i]) return repeated Input: Repeat([-1, 1, -1, 8]) Output:
C
code
computer_science
mmlu_aux_train_1770
mmlu_aux_train
Based on their locations in the periodic table, which element has chemical properties most similar to those of calcium, Ca? A. beryllium, Be B. potassium, K C. titanium, Ti D. yttrium, Y
A. beryllium, Be
high_school_chemistry
chemistry
pythonio_549
pythonio-mc
Program: def add_tuple(test_list, test_tup): test_list += test_tup return (test_list) Input: add_tuple([6, 7, 8], (10, 11)) Output:
A
code
computer_science
mmlu_aux_train_93001
mmlu_aux_train
Which of these actions will change a sedimentary rock, such as limestone, into a metamorphic rock, such as marble? A. pressure from a glacier B. heat from magma C. erosion from flowing water D. radiation from the Sun
B. heat from magma
college_earth_science
earth_science
NLP4Education_678
NLP4Education
Which class of languages includes some which cannot be proven by a polynomial-size non-interactive proof? A. $\mathcal{P}$ B. $\mathcal{NP}$ C. $\mathcal{NP} \ \bigcap$ co-$\mathcal{NP}$ D. $\mathcal{IP}$
D. $\mathcal{IP}$
college_computer_science
computer_science
math_23
math_mc
The distance between the two intersections of $x=y^4$ and $x+y^2=1$ is $\sqrt{u+v\sqrt5}$. Find the ordered pair, $(u,v)$.
D
math_Algebra
mathematics
NLP4Education_79
NLP4Education
Assume we have $N$ training samples $(\xx_1, y_1), \dots, (\xx_N, y_N)$ where for each sample $i \in \{1, \dots, N\}$ we have that $\xx_i \in \R^d$ and $y_i \in \{-1, 1\}$. We want to classify the dataset using the exponential loss $L(\ww) = \frac{1}{N} \sum_{i=1}^N \exp (-y_i \xx_i^\top \ww )$ for $\ww \in \R^d$. W...
C. If I find a vector $\ww^\star$ such that $L(\ww^\star) < 1 / N$, then $\ww^\star$ linearly separates my dataset.
machine_learning
computer_science
aquarat_94520
deepmind/aqua_rat
In how many different ways can a group of 8 people be divided into 4 teams of 2 people each?
A. 90 B. 105 C. 168 D. 420 E. 2520
B. 105
You need to choose 4 groups of 2 from 8 people: That's 8/!2!2!2!2!, then divided by 4!, since any ordering of these 4 groups is the same. Total = 8/2!2!2!2!4!=8!/8∗2∗4!=7!/2∗4!=7∗6∗5∗4∗3∗2/4∗3∗2∗2=7∗6∗5/2=35∗3=105. Answer: B
college_mathematics
mathematics
allenai/sciq_3964
allenai/sciq
Carbon monoxide, radon gas, dust and pet dander are sources of what kind of pollution? A. sound pollution B. noise pollution C. indoor air pollution D. light pollution
C. indoor air pollution
One source of indoor air pollution is radon gas. Radon is a radioactive gas that may seep into buildings from rocks underground. Exposure to radon gas may cause lung cancer. Another potential poison in indoor air is carbon monoxide. It may be released by faulty or poorly vented furnaces or other fuel-burning appliances...
high_school_biology
biology
mmlu_aux_train_97525
mmlu_aux_train
Which pollutant is most likely caused by humans activity? A. bricks B. bovine farts C. rocks D. oxygen
B. bovine farts
high_school_chemistry
chemistry
pythonio_628
pythonio-mc
Program: from math import tan, pi def perimeter_polygon(s,l): perimeter = s*l return perimeter Input: perimeter_polygon(9,7) Output:
B
code
computer_science
mmlu_aux_train_95365
mmlu_aux_train
Many animals entered the city because of A. global warming B. buildings C. warm streets D. logging
D. logging
high_school_biology
biology
allenai/sciq_10321
allenai/sciq
What is another name for a broad explanation that is supported by a great deal of evidence? A. hypothesis B. theory C. concept D. conjecture
B. theory
A : A theory is needed to explain gravity. In science, a theory is a broad explanation that is supported by a great deal of evidence.
high_school_biology
biology
pythonio_844
pythonio-mc
Program: def binomial_coeff(n, k): C = [[0 for j in range(k + 1)] for i in range(n + 1)] for i in range(0, n + 1): for j in range(0, min(i, k) + 1): if (j == 0 or j == i): C[i][j] = 1 else: C[i][j] = (C[i - 1][j - 1] + C[i - 1][j]) return C[n][k] def lobb_num(n, m): ...
D
code
computer_science