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_393 | allenai/sciq | Hydrochloric acid is formed when hcl is dissolved into what?
A. plasma
B. water
C. blood
D. sodium | B. water | When HCl is dissolved into water, it is called hydrochloric acid. Ionic compounds and some polar compounds are completely broken apart into ions and thus conduct a current very well. A strong electrolyte is a solution in which a large fraction of the dissolved solute exists as ions. | high_school_chemistry | chemistry | |
math_1456 | math_mc | Evaluate the infinite sum $\sum_{n=1}^{\infty}\frac{n}{n^4+4}$. | A | math_Intermediate Algebra | mathematics | ||
aquarat_3873 | deepmind/aqua_rat | The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit L on the hei... | A. 5½ ft B. 7½ ft C. 8 ½ ft D. 9½ ft E. 10 ft | B. 7½ ft | Let's label the midpoint of the circle O. Since the base of the semi-circle is 20, we know that the diameter is 20 and, accordingly, the radius is 10.
We also know that the traffic lane is 12 feet long and there's an equal amount of space on either side, so the traffic lane extends 6 feet on either side of O. Let's cal... | college_mathematics | mathematics |
mmlu_aux_train_1005 | mmlu_aux_train | Arnold decided to destroy an old warehouse that he owned because the taxes on the structure exceeded the income that he could receive from it. He crept into the building in the middle of the night with a can of gasoline and a fuse and set the fuse timer for 30 minutes. He then left the building. The fuse failed to igni... | D. No, because even if his actions had every consequence he intended, they would not have constituted arson. | formal_logic | mathematics | ||
mmlu_aux_train_52376 | mmlu_aux_train | Win $ 50 in the Coolest Gadget of the Week Look at what's the coolest gadget (vote for a chance to win $ 50). Cryo S: A Cool Netbook Cooler Like the other devices of NZXT, the Cryo S was designed to provide a competitive advantage at PC gaming. It has two adjustable 120mm fans that provide powerful cooling. The full p... | C. Trends Updates. | computer_security | computer_science | ||
allenai/sciq_5095 | allenai/sciq | During meiosis, each parent synthesizes gametes that contain only half of their complement of what?
A. atoms
B. neutrons
C. receptors
D. chromosomes | D. chromosomes | The Chromosomal Theory of Inheritance was consistent with Mendel’s laws and was supported by the following observations: • During meiosis, homologous chromosome pairs migrate as discrete structures that are independent of other chromosome pairs. • The sorting of chromosomes from each homologous pair into pre-gametes ap... | college_biology | biology | |
aquarat_15000 | deepmind/aqua_rat | 9.009/1.001 | A. 0.009 B. 0.09 C. 0.9 D. 9 E. 90 | D. 9 | Answer is 9, move the decimal forward three places for both numerator and denominator or just multiply both by a thousand. The result is 9009/1001= 9
Answer D | college_chemistry | chemistry |
aquarat_14069 | deepmind/aqua_rat | Consider a quarter of a circle of radius 36. Let r be the radius of the circle inscribed in this quarter of a circle. Find r. | A. 16*(sqr2 -1) B. 8*(sqr3 -1) C. 4*(sqr7 - 1) D. 36* (sqr2 -1) E. None of these | D. 36* (sqr2 -1) | I got 36/(sqr2 +1) and just forgot to multiply by (sqr2 -1).
Answer is D | college_mathematics | mathematics |
mmlu_aux_train_24835 | mmlu_aux_train | New research finds a link between poverty and poor decision making. The findings may explain why poor people sometimes make bad choices that continue their hardship. Earlier studies have found the poor less likely to escape poverty. But there has been little research on why the poor make decisions that make their ... | B. They found it hard for poor people to become rich. | high_school_statistics | mathematics | ||
allenai/sciq_2790 | allenai/sciq | Molecules are represented by symbols that all who agree on?
A. chemists
B. geologists
C. astrologists
D. physics | A. chemists | This passage from a Bach cello suite could be played by any trained musician from any country, because there is agreement as to what the symbols on the page mean. In the same way, molecules are represented using symbols that all chemists agree upon. | high_school_chemistry | chemistry | |
aquarat_31887 | deepmind/aqua_rat | If [Z] denotes the least integer greater than or equal to Z and [Z] = 0, which of the following statements must be true? | A. Z = 0 B. 0 <= Z < 1 C. 0 < Z <= 1 D. -1 <= Z < 0 E. -1 < Z <= 0 | E. -1 < Z <= 0 | The answer for this is 0 < = Z < = 1
However it is not available in the options. The match to the above is-1 < Z <= 0
Answer = E | college_mathematics | mathematics |
math_1644 | math_mc | If the least common multiple of two 6-digit integers has 10 digits, then their greatest common divisor has at most how many digits? | A | math_Number Theory | mathematics | ||
allenai/sciq_4874 | allenai/sciq | Serious imbalances, cancer and other diseases can result when expression of what goes awry?
A. ribosomes
B. genes
C. proteins
D. gametes | B. genes | college_biology | biology | ||
mmlu_aux_train_50965 | mmlu_aux_train | Snow-melting Agent A heavy snow can kill pests and this means a good harvest next year.This will bring as well as trouble to urbanites. On Nov.16,2003,a cold air current brought a heavy snow to Beijing.To prevent traffic jams,related government departments mobilized people to clear off snow on streets. One of the most ... | B. soap | high_school_chemistry | chemistry | ||
allenai/sciq_7523 | allenai/sciq | There are six fundamentally different kinds of nuclear decay reactions, and each releases a different kind of particle or what?
A. protein
B. energy
C. mineral
D. mass | B. energy | an identical particle that has been ejected from a heavier nucleus. There are six fundamentally different kinds of nuclear decay reactions, and each releases a different kind of particle or energy. The essential features of each reaction are shown in Figure 20.4 "Common Modes of Nuclear Decay". The most common are alph... | college_physics | physics | |
mmlu_aux_train_95460 | mmlu_aux_train | Decomposition is important for
A. water
B. medicine
C. sunlight
D. food | D. food | high_school_biology | biology | ||
mmlu_aux_train_40271 | mmlu_aux_train | Every small child knows the panic of losing sight of its mother in the supermarket, and as these delightful pictures show, small whales obviously feel the same way. Taken by a British diver who was following the sperm whale calf, _ show the minute the baby - who had lost track of its mum - found her again in the sea o... | D. slammed as a means of communication | college_biology | biology | ||
mmlu_aux_train_94266 | mmlu_aux_train | Which characteristic will a baby chimpanzee inherit from its parents?
A. fur color
B. hunting skills
C. feeding behavior
D. sleeping routine | A. fur color | high_school_biology | biology | ||
allenai/sciq_7163 | allenai/sciq | Reaching conclusions about unobserved things on the basis of what has already been observed is known as what kind of reasoning?
A. reductive
B. inductive
C. primitive
D. conductive | B. inductive | Inductive reasoning involves reaching conclusions about unobserved things on the basis of what has already been observed. Induction is used regularly in fields such as archaeology, where inferences about the past from present are made. Inductions could also be made across outer space, as in astronomy, where conclusions... | formal_logic | mathematics | |
math_316 | math_mc | Find the sum of all integral values of $c$ with $c\le 25$ for which the equation $y=x^2-7x-c$ has two rational roots. | B | math_Algebra | mathematics | ||
pythonio_845 | 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):
... | C | code | computer_science | ||
pythonio_441 | pythonio-mc | Program:
def sort_dict_item(test_dict):
res = {key: test_dict[key] for key in sorted(test_dict.keys(), key = lambda ele: ele[1] * ele[0])}
return (res)
Input:
sort_dict_item({(6, 7) : 4, (3, 4) : 10, (9, 5): 11, (7, 5): 13} )
Output: | B | code | computer_science | ||
math_114 | math_mc | The workers in a factory produce widgets and whoosits. For each product, production time is constant and identical for all workers, but not necessarily equal for the two products. In one hour, 100 workers can produce 300 widgets and 200 whoosits. In two hours, 60 workers can produce 240 widgets and 300 whoosits. In thr... | D | math_Algebra | mathematics | ||
allenai/sciq_9729 | allenai/sciq | What describe the fraction or percentage of a mixture that is made up of a particular substance.
A. solute level
B. molecular scale
C. mole fractions
D. atomic weight | C. mole fractions | Mole fractions describe the fraction or percentage of a mixture that is made up of a particular substance. | high_school_chemistry | chemistry | |
mmlu_aux_train_75126 | mmlu_aux_train | The computer is important and can help us do a lot of things. Lots of children spend too much time on the computer. It's bad for their study. Here is some advice for the parents. *Move the computer out of the child's bedroom. It is good for children to reduce the time to use the computer. * _ for the computer. If yo... | D. Move the computer out of the child's bedroom | high_school_computer_science | computer_science | ||
math_1023 | math_mc | The inscribed circle of triangle $ABC$ is tangent to $\overline{AB}$ at $P,$ and its radius is $21$. Given that $AP=23$ and $PB=27,$ find the perimeter of the triangle.
| D | math_Geometry | mathematics | ||
math_1887 | math_mc | Using the digits 1, 2, 3, 4, 5, how many even three-digit numbers less than 500 can be formed if each digit can be used more than once? | A | math_Prealgebra | mathematics | ||
math_412 | math_mc | Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain?
[asy]
draw((0,0)--(3,0)--(3,3)--(0,3)--cycle);
fill((0,0)--(3,0)-... | A | math_Algebra | mathematics | ||
math_1719 | math_mc | Given that
\begin{eqnarray*}&(1)& x\text{ and }y\text{ are both integers between 100 and 999, inclusive;}\qquad \qquad \qquad \qquad \qquad \\ &(2)& y\text{ is the number formed by reversing the digits of }x\text{; and}\\ &(3)& z=|x-y|. \end{eqnarray*}
How many distinct values of $z$ are possible?
| A | math_Number Theory | mathematics | ||
allenai/sciq_8566 | allenai/sciq | What can be identified as an element, a compound, or a mixture?
A. waves
B. light
C. matter
D. energy | C. matter | Matter can be identified as an element, a compound, or a mixture. | high_school_chemistry | chemistry | |
mmlu_aux_train_4765 | mmlu_aux_train | From Earth, the Sun appears brighter than any other star because the Sun is the
A. newest star.
B. largest star.
C. hottest star.
D. closest star. | D. closest star. | astronomy | physics | ||
aquarat_91612 | deepmind/aqua_rat | If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 2? | A. -1 B. 0 C. 1 D. 2 E. 3 | E. 3 | Answer
x = 1 + √2
∴ x4 - 4x3 + 4x2 + 5 = x2(x2 - 4x + 4) + 2
= x2(x - 2)2 +2
= (1 + √2)2(1 + √2 - 2)2 + 2
=(√2 + 1)2 (√2 - 1)2 + 2
=[(√2)2 - (1)2]2 + 2
=(2 - 1)2 =1 + 2=3
Correct Option: E | college_mathematics | mathematics |
mmlu_aux_train_10838 | mmlu_aux_train | Chemicals used for industrial processes often create dangerous forms of waste. The amount of these chemicals has risen heavily in the past few years, as more areas of the world industrialize and new products are produced. Over 80,000 different chemicals are used in industries world wide. Around the world hundreds of mi... | B. Problems of harmful waste. | college_chemistry | chemistry | ||
mmlu_aux_train_98113 | mmlu_aux_train | Which animal is likely hotter than it should be if its tongue is sticking out?
A. a lizard
B. a golden retriever
C. a rabbit
D. a human | B. a golden retriever | high_school_biology | biology | ||
allenai/sciq_10352 | allenai/sciq | Bonding in molecules with resonance forms is better described by which theory?
A. Geiger theory
B. Pascal's theory
C. molecular orbital theory
D. string theory | C. molecular orbital theory | Hybridization involves only σ bonds, lone pairs of electrons, and single unpaired electrons (radicals). Structures that account for these features describe the correct hybridization of the atoms. However, many structures also include resonance forms. Remember that resonance forms occur when various arrangements of π bo... | college_chemistry | chemistry | |
aquarat_81202 | deepmind/aqua_rat | There is a 75% chance that Tigers will not win at all during the whole season. There is a 25% chance that Germany will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Germany will play during the season? | A. 55% B. 60% C. 70% D. 75% E. 80% | D. 75% | There is a 75% chance that Tigers will not win at all during the whole season
We can infer that there is 25% chance Tigers will win .
Similarly There is a 25% chance that Germany will not play at all in the whole season
We can also infer that there is 75% chance that Germany will play.
Answer D | high_school_statistics | mathematics |
mmlu_aux_train_15326 | mmlu_aux_train | A new report says only about half of all students in the main school systems of America's largest cities finish high school. The report notes higher rates of graduation -- over 70% --in areas surrounding the cities. Researchers studied high school graduation rates from the 2003, 2004 school year. They also identified t... | A. too many Americans do not finish high school | high_school_statistics | mathematics | ||
allenai/sciq_7521 | allenai/sciq | What equals the output power divided by the input power?
A. output
B. potential
C. inertia
D. efficiency | D. efficiency | ; The efficiency equals the output power divided by the input power. | conceptual_physics | physics | |
allenai/sciq_10084 | allenai/sciq | What property is the result of the force of gravity being opposed by the normal force?
A. density
B. sound
C. weight
D. light | C. weight | For a full description of weight, look at Forces: Mass versus Weight. In sum, weight is the result of the force of gravity being opposed by the normal force. As we just learned, objects in orbit are in freefall; they have nothing exerting a normal force against them and thus no weight. | conceptual_physics | physics | |
pythonio_543 | pythonio-mc | Program:
def lcs_of_three(X, Y, Z, m, n, o):
L = [[[0 for i in range(o+1)] for j in range(n+1)]
for k in range(m+1)]
for i in range(m+1):
for j in range(n+1):
for k in range(o+1):
if (i == 0 or j == 0 or k == 0):
L[i][j][k] = 0
elif (X[i-1] == Y[j-1] and
X[i-1] == Z[k-1]):
... | A | code | computer_science | ||
math_2130 | math_mc | Suppose that $\sec x+\tan x=\frac{22}7$ and that $\csc x+\cot x=\frac mn,$ where $\frac mn$ is in lowest terms. Find $m+n.$
| B | math_Precalculus | mathematics | ||
mmlu_aux_train_2792 | mmlu_aux_train | To determine the boiling point of a liquid, a student must use all of these tools except
A. a stopwatch.
B. a heat source.
C. safety goggles.
D. a thermometer. | A. a stopwatch. | high_school_chemistry | chemistry | ||
math_538 | math_mc | There are 3 math clubs in the school district, with 5, 7, and 8 students respectively. Each club has two co-presidents. If I randomly select a club, and then randomly select three members of that club to give a copy of $\emph{Introduction to} \allowbreak\ \emph{Counting and} \allowbreak\ \emph{Probability}$, what is th... | A | math_Counting & Probability | mathematics | ||
mmlu_aux_train_57582 | mmlu_aux_train | Have you ever noticed that some people am able to effortlessly remember even the most boring details, and quickly understand new things, and wished that you too could be like that? To unlock the full potential of you brain. you need m keep it active and acute. But how? Check out these tips: .Exercise&get your body ... | C. seious deprrssioa | high_school_biology | biology | ||
allenai/sciq_10045 | allenai/sciq | In which state of matter are particles completely separate from one another?
A. solid state
B. phosphorus state
C. liquid state
D. gaseous state | D. gaseous state | Most substances may exist in any of the three common states of matter. In the gaseous state, the molecular motion has completely overcome any attraction between the particles and the particles are totally separate from each other. There are large spaces between the particles and they move large distances between collis... | high_school_physics | physics | |
math_2008 | math_mc | A domino is a rectangular tile composed of two squares. An integer is represented on both squares, and each integer 0-9 is paired with every integer 0-9 exactly once to form a complete set. A $\textit{double}$ is a domino that has the same integer on both of its squares. What is the probability that a domino randomly s... | B | math_Prealgebra | mathematics | ||
math_135 | math_mc | A portion of the graph of a quadratic function $f(x)$ is shown below.
Let $g(x)=-f(x)$ and $h(x)=f(-x)$. If $a$ is the number of points where the graphs of $y=f(x)$ and $y=g(x)$ intersect, and $b$ is the number of points where the graphs of $y=f(x)$ and $y=h(x)$ intersect, then what is $10a+b$?
[asy]
size(150);
real ... | D | math_Algebra | mathematics | ||
allenai/sciq_2592 | allenai/sciq | What is the term for anything that has mass and volume?
A. matter
B. gass
C. liquid
D. energy | A. matter | Matter is anything that has mass and volume. Mass is the amount of matter in a substance. Volume is the amount of space matter takes up. | high_school_physics | physics | |
math_1614 | math_mc | Find the ones digit of the largest power of $2$ that divides into $(2^4)!$. | D | math_Number Theory | mathematics | ||
math_752 | math_mc | The sides of rectangle $ABCD$ have lengths $10$ and $11$. An equilateral triangle is drawn so that no point of the triangle lies outside $ABCD$. The maximum possible area of such a triangle can be written in the form $p\sqrt{q}-r$, where $p$, $q$, and $r$ are positive integers, and $q$ is not divisible by the square of... | A | math_Geometry | mathematics | ||
allenai/sciq_5346 | allenai/sciq | The sun emits energy in the form of what?
A. particles radiation
B. mechanical radiation
C. microwave radiation
D. electromagnetic radiation | D. electromagnetic radiation | Figure 5.10 The sun emits energy in the form of electromagnetic radiation. This radiation exists in different wavelengths, each of which has its own characteristic energy. Visible light is one type of energy emitted from the sun. | astronomy | physics | |
allenai/sciq_10505 | allenai/sciq | Since electrons are charged, their intrinsic spin creates a what?
A. magnified rupulsed field
B. intrinsic electrical field
C. intrinsic magnetic field
D. suppressed electrical field | C. intrinsic magnetic field | We already know that the magnitude of angular momentum is quantized for electron orbits in atoms. The new insight is that the direction of the orbital angular momentum is also quantized. The fact that the orbital angular momentum can have only certain directions is called space quantization. Like many aspects of quantu... | college_physics | physics | |
mmlu_aux_train_78779 | mmlu_aux_train | The H1Nl virus has been spreading world-wide,it is important for us to know how to control it.Please pay attention to the following points: 1.Don't touch your face.Above all,keep your hands away from your eyes,mouth and nose,all of which serve pathways for the viruses to enter your body. 2.Wash your hands.If you have... | B. how to control the H1N1 virus | virology | biology | ||
allenai/sciq_5849 | allenai/sciq | The chromosomal theory of inheritance proposed that what reside on chromosomes?
A. genes
B. molecules
C. atoms
D. rna | A. genes | Chapter 13 1 Figure 13.3 No. The predicted frequency of recombinant offspring ranges from 0% (for linked traits) to 50% (for unlinked traits). 3 Figure 13.6 B. 4 A 6 C 8 B 10 C 12 D 14 The Chromosomal Theory of Inheritance proposed that genes reside on chromosomes. The understanding that chromosomes are linear arrays o... | college_biology | biology | |
aquarat_24614 | deepmind/aqua_rat | A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/6 the total number of upgraded sensors on the entire satellite, what fraction... | A. 5/6 B. 1/5 C. 1/6 D. 1/7 E. 1/24 | C. 1/6 | Let x be the number of upgraded sensors on the satellite.
The number of non-upgraded sensors per unit is x/6.
The number of non-upgraded sensors on the whole satellite is 30(x/6) = 5x.
The fraction of sensors which have been upgraded is x / (x+5x) = x/6x = 1/6
The answer is C. | college_mathematics | mathematics |
allenai/sciq_143 | allenai/sciq | Compounds like sodium chloride form structures called what?
A. microorganisms
B. ions
C. hydrocarbons
D. crystals | D. crystals | Compounds like sodium chloride form structures called crystals. A crystal is a rigid framework of many ions locked together in a repeating pattern. Ions are electrically charged forms of atoms. You can see a crystal of sodium chloride in the Figure below . It is made up of many sodium and chloride ions. | high_school_chemistry | chemistry | |
allenai/sciq_9518 | allenai/sciq | Crude oil is a mixture of different types of what?
A. hydrocarbons
B. fats
C. greenhouse gases
D. contaminants | A. hydrocarbons | Oil comes out of the ground as crude oil. Crude oil is a mixture of many different hydrocarbons. Oil is separated into different compounds at an oil refinery ( Figure above ). This is done by heating the oil. Each hydrocarbon compound in crude oil boils at a different temperature. We get gasoline, diesel, and heating o... | high_school_chemistry | chemistry | |
aquarat_46493 | deepmind/aqua_rat | In how many possible ways you can write 3240 as product of 3 positive integers x,y,z . | A. 420 B. 450 C. 350 D. 320 E. 380 | B. 450 | 3240=2^3*3^4*5
we have to distribute three 2 to three numbers : 3+3-1C3-1=5C2=10
similarly for 3 and 5
therefore total=10*15*3=450
ANSWER:B | college_mathematics | mathematics |
mmlu_aux_train_41715 | mmlu_aux_train | A 15-year-old Saanich student who invented a flashlight powered by body heat is heading home today from California with a big prize--and an opportunity to expand on her work. St. Michaels University School student Ann Makosinski was the only Canadian among the four winners at Google's annual international science fair,... | C. Her success is partly due to her family. | high_school_computer_science | computer_science | ||
pythonio_113 | pythonio-mc | Program:
def tuple_to_float(test_tup):
res = float('.'.join(str(ele) for ele in test_tup))
return (res)
Input:
tuple_to_float((4, 56))
Output: | A | code | computer_science | ||
pythonio_459 | pythonio-mc | Program:
def sort_sublists(list1):
list1.sort()
list1.sort(key=len)
return list1
Input:
sort_sublists([[1], [2, 3], [4, 5, 6], [7], [10, 11]])
Output: | D | code | computer_science | ||
NLP4Education_204 | NLP4Education | We saw in class that we can quickly decrease the spatial size of the representation using pooling layers. Is there another way to do this without pooling?
A. Yes, by increasing the number of filters.
B. Yes, by increasing the stride.
C. Yes, by increasing the amount of padding.
D. No, pooling is necessary. | B. Yes, by increasing the stride. | college_computer_science | computer_science | ||
allenai/sciq_466 | allenai/sciq | What happens to the temperature of matter as light is absorbed?
A. it drops
B. it increases
C. it triples
D. it stays the same | B. it increases | http://www. chem. ufl. edu/~itl/2045/lectures/lec_d. html. | conceptual_physics | physics | |
allenai/sciq_5135 | allenai/sciq | What occurs when two nonpolar liquids are mixed?
A. sediment - nonpolar interactions
B. nonpolar-nonpolar interactions
C. refracted - nonpolar interactions
D. polar-nonpolar interactions | B. nonpolar-nonpolar interactions | Nonpolar-nonpolar interactions occur when two nonpolar liquids are mixed. An example of this is the interaction between toluene and octane (see Figures above and below ). The interactions between a molecule of toluene and a molecule of octane are relatively weak, but so are the toluene-toluene and octane-octane interac... | high_school_chemistry | chemistry | |
mmlu_aux_train_86266 | mmlu_aux_train | Students who get tired of looking at the four walls of a classroom might like to take the nature course being offered by Carvel College again this summer. Groups of about a dozen students each, led by an experienced guide, will go on ten-day camping trips to the mountains to study the plants and animals that grow and l... | C. A different learning experience. | high_school_biology | biology | ||
aquarat_15281 | deepmind/aqua_rat | For which of the following functions does f(−u)=−f(u) for all real number values of x? | A. u^8 B. −u^6 C. u^5 D. u^9/(u^5+1) E. 1/(x^2+1) | C. u^5 | f(-u) = (-u)^5 = -u*u^4
-f(u) = -u^5
C | college_mathematics | mathematics |
aquarat_84031 | deepmind/aqua_rat | If (1+p)q=q, which of the following must be true? | A. p=-1 or q=0 B. p=0 or q=0 C. p=1 or q=1 D. p=-1 or q=-1 E. p=0 or q=1 | B. p=0 or q=0 | By only having pq=0, we cannot say answer is B as A and E options also satisfy the condition pq=0. ans B | abstract_algebra | mathematics |
mmlu_aux_train_90955 | mmlu_aux_train | Once a great boxer , Tom Brown, went to a restaurant for dinner. He put his bag near the door, but he was afraid that someone would take it away. So he got out a pen and a piece of paper and wrote on it, "The great boxer, Tom Brown, left his bag here and he will be back in a few minutes." He put the paper on his bag an... | C. for dinner | formal_logic | mathematics | ||
aquarat_49232 | deepmind/aqua_rat | In the faculty of Reverse-Engineering, 300 second year students study numeric methods, 600 second year students study automatic control of airborne vehicles and 200 second year students study them both. How many students are there in the faculty if the second year students are approximately 70% of the total? | A. 750 B. 800 C. 900 D. 950 E. 1000 | E. 1000 | Total number of students studying both are 300 + 600 - 200 = 700 (Subtracting the 200 since they were included in the both the other numbers already).
So 70% of total is 700, so 100% is 1000
Answer is E | college_mathematics | mathematics |
aquarat_24911 | deepmind/aqua_rat | The operation # is defined for all nonzero f and y by f#y = f + f/y. If a>0, then 1#(1#a) = | A. a B. a+1 C. a/(a+1) D. (a+2)/(a+1) E. (2a+1)/(a+1) | E. (2a+1)/(a+1) | f#y = f + f/y. If a>0, then 1#(1#a) =
You can see that a stands for y and 1 stands for f. I like to work with numbers so I did f=1 a=2 and a=y so y=2
1#a= 1+(1/2)=1.5 so now a is 1.5 --> 1+(1/1.5)=1 2/3 = 5/3
So now you can check by filling in a, which is 2:
A. a --> 2
B. a+1 --> 2+1=3
C. a/(a+1)-->2/(2+1)=2/3
D. (a+2)... | abstract_algebra | mathematics |
aquarat_93614 | deepmind/aqua_rat | The function f is defined for all the positive integers d by the following rule: f(d) is the number of positive integers each of which is less than d and has no positive factor in common with d other than 1 . if p is a prime number then f(p)? | A. p-1 B. p-2 C. (p+1)/2 D. (p-1)/2 E. 2 | A. p-1 | The moment you put a prime number in the function f(d), notice that all the numbers lesser than d have no divisor clashing with divisor of d since d is prime!!.
For instance f(7)= {6, 5, 4, 3, 2, 1}
Thus for f(p) number of integers falling under this set will be p-1
Answer :- A | abstract_algebra | mathematics |
mmlu_aux_train_1507 | mmlu_aux_train | In the past, Native American Indians buried dead fish along with corn seeds. This technique was used because the decomposing dead fish would
A. provide nutrients for the growing corn plant
B. eliminate the need for weeding around the corn plant
C. release oxygen for use by the corn plant
D. supply all the water needed... | A. provide nutrients for the growing corn plant | high_school_biology | biology | ||
allenai/sciq_7757 | allenai/sciq | What do they call 2,2,4-trimethylpentane in the gasoline industry?
A. xerophyte
B. spirogyra
C. methane
D. isooctane | D. isooctane | In the gasoline industry, what is called isooctane is actually 2,2,4-trimethylpentane. Draw the structure of isooctane. | high_school_chemistry | chemistry | |
pythonio_557 | pythonio-mc | Program:
def extract_index_list(l1, l2, l3):
result = []
for m, n, o in zip(l1, l2, l3):
if (m == n == o):
result.append(m)
return result
Input:
extract_index_list([1, 1, 3, 4, 5, 6, 7],[0, 1, 2, 3, 4, 6, 5],[0, 1, 2, 3, 4, 6, 7])
Output: | A | code | computer_science | ||
math_919 | math_mc | A point $P$ is chosen in the interior of $\triangle ABC$ such that when lines are drawn through $P$ parallel to the sides of $\triangle ABC$, the resulting smaller triangles $t_{1}$, $t_{2}$, and $t_{3}$ in the figure, have areas $4$, $9$, and $49$, respectively. Find the area of $\triangle ABC$.
[asy] size(200); pathp... | C | math_Geometry | mathematics | ||
allenai/sciq_3835 | allenai/sciq | Where can composite volcanoes most frequently be found?
A. divergent boundaries
B. transform boundaries
C. astatine boundaries
D. convergent boundaries | D. convergent boundaries | Composite volcanoes are common at convergent boundaries. Shield volcanoes are produced at divergent plate boundaries and intraplate. | astronomy | physics | |
pythonio_795 | pythonio-mc | Program:
def div_of_nums(nums,m,n):
result = list(filter(lambda x: (x % m == 0 and x % n == 0), nums))
return result
Input:
div_of_nums([1, 2, 3, 5, 7, 8, 10],2,5)
Output: | A | code | computer_science | ||
pythonio_804 | pythonio-mc | Program:
def reverse_list_lists(lists):
for l in lists:
l.sort(reverse = True)
return lists
Input:
reverse_list_lists([[1,2],[2,3],[3,4]])
Output: | D | code | computer_science | ||
aquarat_25800 | deepmind/aqua_rat | Can you find the next letter in the series ?
S - T - I - L - N - T - F - Y - ? | A. A B. B C. C D. D E. E | C. C | C
The answer is C.
These are letter of the question asked in reverse order. | formal_logic | mathematics |
NLP4Education_235 | NLP4Education | K-means can be equivalently written as the following Matrix Factorization
$$
\begin{aligned}
& \min _{\mathbf{z}, \boldsymbol{\mu}} \mathcal{L}(\mathbf{z}, \boldsymbol{\mu})=\left\|\mathbf{X}-\mathbf{M} \mathbf{Z}^{\top}\right\|_{\text {Frob }}^{2} \\
& \text { s.t. } \boldsymbol{\mu}_{k} \in \mathbb{R}^{D}, \\
& z_{n ... | B. No, because the $z_{nk}$ variables should be binary rather than real-valued. | machine_learning | computer_science | ||
allenai/sciq_731 | allenai/sciq | What is another term for hydraulic fracturing?
A. permeating
B. fracking
C. drilling
D. erupting | B. fracking | Hydraulic fracturing, known as fracking, is a relatively new method for extracting natural gas. Fracking may be linked to groundwater contamination and small earthquakes in non-seismic regions. | college_chemistry | chemistry | |
pythonio_343 | pythonio-mc | Program:
def sum_Range_list(nums, m, n):
sum_range = 0 ... | A | code | computer_science | ||
aquarat_5113 | deepmind/aqua_rat | For which of the following functions is f(q) = f(−q) for all values of q ? | A. f(x) = x^3 + 3 B. f(x) = −x C. f(x) = 2x + 3 D. f(q) = −q^2 + 2 E. f(x) = 5x − 4 | D. f(q) = −q^2 + 2 | f(q) = f(−q)
The above is a property of an even function .
f(q) = f^(n)
f(q) = f(−q) will hold when n is an even integer .
The only case when q is even is option D
Answer D | college_mathematics | mathematics |
math_861 | math_mc | A sphere is inscribed in a cube, and the cube has a surface area of 24 square meters. A second cube is then inscribed within the sphere. What is the surface area in square meters of the inner cube? | B | math_Geometry | mathematics | ||
mmlu_aux_train_9598 | mmlu_aux_train | A typical day at work for Cesar Millan might include putting on his running shoes and taking a fourhour jog with 40 dogs--large and small, young and old. Amazingly, most of those dogs belong to him. The rest are at the heart of his work; they are troubled dogs sent to Millan to learn good behavior. Obviously Millan, st... | D. dogs live in groups | high_school_biology | biology | ||
pythonio_95 | pythonio-mc | Program:
def flatten_tuple(test_list):
res = ' '.join([idx for tup in test_list for idx in tup])
return (res)
Input:
flatten_tuple([('14', '21', '9'), ('24', '19'), ('12', '29'), ('23', '17')])
Output: | D | code | computer_science | ||
math_1850 | math_mc | A number in the set $\{50, 51, 52, 53, ... , 999\}$ is randomly selected. What is the probability that it is a two-digit number? Express your answer as a common fraction. | C | math_Prealgebra | mathematics | ||
NLP4Education_14 | NLP4Education | What is the default block size for a traditional file system, e.g. ext3/4?
A. 32 bytes
B. 512 bytes
C. 4096 bytes
D. 4096 bits | C. 4096 bytes | computer_security | computer_science | ||
aquarat_57672 | deepmind/aqua_rat | A test has a mean of 110 and a standard deviation of 5, find the corresponding x score for: a) a test score of 116? | A. A)6/5 B. B)2.4 C. C)5 D. D)5.6 E. E)7 | A. A)6/5 | A test has a mean of 110 and a standard deviation of 5,
find the corresponding x score for:
a) a test score of 116,
x(116) = (116-110)/5= 6/5
Option A | high_school_statistics | mathematics |
mmlu_aux_train_12769 | mmlu_aux_train | During the week days,they are luckily busy office people; but on weekends,they are just a brood of stay home animals.A recent survey shows that office workers in China prefer quiet and easy ways to spend their weekends. In the survey,conducted by job seeking and offering website Zhaopin.com,32.8 percent of the 6000 res... | C. 1200. | high_school_statistics | mathematics | ||
mmlu_aux_train_66197 | mmlu_aux_train | "Eat local." It's one way to reduce human effect on the planet.Eating local means to try to buy and consume foods that are grown in places close to home.However, most of the food sold at supermarkets is not locally grown or produced.Trucks and planes deliver these foods from hundreds or thousands of miles away.During t... | D. Because it is environmentally friendly. | environmental_science | earth_science | ||
aquarat_7095 | deepmind/aqua_rat | A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/6 the total number of upgraded sensors on the entire satellite, what fraction... | A. 5/6 B. 1/5 C. 1/6 D. 1/7 E. 1/24 | B. 1/5 | Let x be the number of upgraded sensors on the satellite.
The number of non-upgraded sensors per unit is x/6.
The number of non-upgraded sensors on the whole satellite is 24(x/6) = 4x.
The fraction of sensors which have been upgraded is x / (x+4x) = x/5x = 1/5
The answer is B. | college_mathematics | mathematics |
aquarat_28051 | deepmind/aqua_rat | How many pairs (n, n+1) have one or more prime factors common, where n is an integer and 2 ≤ n ≤9 ? | A. 0 B. 1 C. 2 D. 3 E. 4 | A. 0 | n and n+1 are consecutive integers.
Two consecutive integers are co-prime, which means that they don't share ANY common factor but 1. For example 20 and 21 are consecutive integers, thus only common factor they share is 1.
Answer: A. | college_mathematics | mathematics |
mmlu_aux_train_79179 | mmlu_aux_train | Different from popular thoughts, colds are not caused by bad weather. Colds are caused by viruses in the body, and you are better out on the snowy day than you are in a warm room, with your friends, who just may be passing the virus around. If you feel a chill when you are coming down with a cold, you are already si... | B. viruses | high_school_biology | biology | ||
math_1589 | math_mc | If $S$, $H$, and $E$ are all distinct non-zero digits less than $5$ and the following is true, find the sum of the three values $S$, $H$, and $E$, expressing your answer in base $5$. $$\begin{array}{c@{}c@{}c@{}c} &S&H&E_5\\ &+&H&E_5\\ \cline{2-4} &S&E&S_5\\ \end{array}$$ | D | math_Number Theory | mathematics | ||
pythonio_139 | pythonio-mc | Program:
def Find_Max_Length(lst):
maxLength = max(len(x) for x in lst )
return maxLength
Input:
Find_Max_Length([[7],[22,23],[13,14,15],[10,20,30,40,50]])
Output: | C | code | computer_science | ||
math_1226 | math_mc | Done with her new problems, Wendy takes a break from math. Still without any fresh reading material, she feels a bit antsy. She starts to feel annoyed that Michael's loose papers clutter the family van. Several of them are ripped, and bits of paper litter the floor. Tired of trying to get Michael to clean up after hims... | C | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_57301 | mmlu_aux_train | In 2007.five young people in the American state of Massachusetts developed an idea. The team knew that the world is filled with mobile phones.About eighty percent of all people are said to live within reach of a wireless telephone signal. The idea was to use mobile phones and the Internet to connect job seekers... | D. Both A and B* | college_computer_science | computer_science | ||
NLP4Education_92 | NLP4Education | When computing PageRank iteratively, the computation ends when...
A. All nodes of the graph have been visited at least once
B. The norm of the difference of rank vectors of two subsequent iterations falls below a predefined threshold
C. The difference among the eigenvalues of two subsequent iterations falls below a pre... | B. The norm of the difference of rank vectors of two subsequent iterations falls below a predefined threshold | college_computer_science | computer_science | ||
aquarat_11324 | deepmind/aqua_rat | Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three (vice presidents)/VPs are entir... | A. 0.5 B. 0.6 C. 0.7 D. 0.49 E. 0.8 | D. 0.49 | probability of adams approval = 0.7
baker approval =0.5
corfu approval=0.4
proabability of approval is must adam approval and atleast one approval
= adam approval*baker approval*corfu approval(approval of both remaining)+adam approval*baker approval*corfu not approval(atleast one remaining approval)+
adam approval*bake... | high_school_statistics | mathematics |
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