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
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|---|---|---|---|---|---|---|---|
mmlu_aux_train_4467 | mmlu_aux_train | Yumiko gave some reasons why kettles and kitchen pans are often made of copper. Which reason is correct?
A. Copper is a good conductor of heat.
B. Copper is easy to melt.
C. Copper is difficult to shape.
D. Copper dissolves in hot water. | A. Copper is a good conductor of heat. | high_school_chemistry | chemistry | ||
allenai/sciq_8964 | allenai/sciq | What term did schrödinger use for regions around the nucleus where electrons are most likely to be?
A. ellipses
B. orbitals
C. arrays
D. isotopes | B. orbitals | Schrödinger developed an equation that could be used to calculate the chances of an electron being in any given place around the nucleus. Based on his calculations, he identified regions around the nucleus where electrons are most likely to be. He called these regions orbitals . As you can see in the Figure below , orb... | college_chemistry | chemistry | |
math_1319 | math_mc | Let $A$ be a point on the circle $x^2 + y^2 - 12x + 31 = 0,$ and let $B$ be a point on the parabola $y^2 = 4x.$ Find the smallest possible distance $AB.$ | A | math_Intermediate Algebra | mathematics | ||
aquarat_87101 | deepmind/aqua_rat | What is the greatest prime factor of 4^16 - 2^28? | A. 2 B. 3 C. 5 D. 7 E. 11 | C. 5 | I'm happy to help with this.
We know 4 = 2^2, so 4^17 = (2^2)^17 = 2^(2*16) = 2^32
That takes advantage of a law of exponents that says (a^n)^m = a^(n*m)
So, 4^16 - 2^28 = 2^32 - 2^28 = 2^(28 + 4) - 2^28 = (2^28)*(2*4) - 2^28 = (2^4 - 1) *(2^28)
= (16 - 1)*(2^28) = 15*(2^28)
The prime factors of 63 are 3*5, so the larg... | college_mathematics | mathematics |
mmlu_aux_train_67634 | mmlu_aux_train | We had one class for computers when I was in school, which was also introduced new in school and all the students did not attend it. I took it because I had free period and was interested in taking it. In those days we could not image that computers will become so important in our lives otherwise most of the students w... | C. they thought computers were useless | high_school_computer_science | computer_science | ||
math_186 | math_mc | The graphs of two functions, $p(x)$ and $q(x),$ are shown here on one set of axes: [asy]
size(150);
real ticklen=3;
real tickspace=2;
real ticklength=0.1cm;
real axisarrowsize=0.14cm;
pen axispen=black+1.3bp;
real vectorarrowsize=0.2cm;
real tickdown=-0.5;
real tickdownlength=-0.15inch;
real tickdownbase=0.3;
real who... | A | math_Algebra | mathematics | ||
aquarat_36468 | deepmind/aqua_rat | If ab^2c = b^4 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1 | A. none B. I C. II D. III E. I &II | A. none | to fulfill conditions some assumptions are to be made b#0 etc.
A | college_mathematics | mathematics |
aquarat_70225 | deepmind/aqua_rat | A 10% stock yields 8%.The market value of the stock is : | A. Rs. 72 B. Rs. 125 C. Rs. 112.50 D. Rs. 116.50 E. None of these | B. Rs. 125 | solution
To obtain Rs. 8, investment = Rs. 100.
To obtain Rs. 10, investment = Rs.(100/8X10)= Rs. 125
∴ Market value of Rs. 100 stock = Rs.125
Answer B | college_mathematics | mathematics |
mmlu_aux_train_64175 | mmlu_aux_train | I visited the nearby car factory today with my uncle, who works there. One thing I noticed was that most of the work is now done by robots. Welding , painting, testing, and many other jobs are performed by robots now. The whole dashboard of the car is now put into the car from above, through the windshield, by a ro... | C. can do exactly the same thing repeatedly | high_school_computer_science | computer_science | ||
math_1608 | math_mc | If $a$, $b$, and $c$ are positive integers such that $\gcd(a,b) = 168$ and $\gcd(a,c) = 693$, then what is the smallest possible value of $\gcd(b,c)$? | A | math_Number Theory | mathematics | ||
mmlu_aux_train_99733 | mmlu_aux_train | A person has a cup of coffee in a ceramic cup. The coffee inside of the cup has chilled, so to increase the temperature, the person
A. puts the cup into the refrigerator
B. uses paper towels to wrap the cup in
C. sets the cup on an electric dish
D. makes the cup better by adding ice | C. sets the cup on an electric dish | conceptual_physics | physics | ||
allenai/sciq_6230 | allenai/sciq | What type of compound contains atoms of two or more different elements in its ring structure?
A. heterocyclic
B. polymer
C. aldehyde
D. hydrocarbon | A. heterocyclic | In some amines, the nitrogen atom replaces a carbon atom in an aromatic hydrocarbon. Pyridine (Figure 20.17) is one such heterocyclic amine. A heterocyclic compound contains atoms of two or more different elements in its ring structure. | college_chemistry | chemistry | |
mmlu_aux_train_33339 | mmlu_aux_train | A chocolate printer that allows sweet lovers to create 3D desserts by themselves is to go on sale at a cost of 2,500 pounds. The machine squirts out chocolate and, via computer instructions, allows the user to build any shape they like out of the food. But makers Choc Edge have missed the Easter rush. Even so, they h... | C. The user can build the shape they like via computer instructions. | college_computer_science | computer_science | ||
allenai/sciq_5579 | allenai/sciq | What is the process in which one cell divides to form two new cells called?
A. cell direction
B. cell division
C. Cell Formation
D. cell contribution | B. cell division | Cell division is part of the life cycle of virtually all cells. Cell division is the process in which one cell divides to form two new cells. | high_school_biology | biology | |
math_2057 | math_mc | A sports conference has 14 teams in two divisions of 7. How many games are in a complete season for the conference if each team must play every other team in its own division twice and every team in the other division once? | D | math_Prealgebra | mathematics | ||
math_148 | math_mc | Six positive integers are written on the faces of a cube. Each vertex is labeled with the product of the three numbers on the faces adjacent to the vertex. If the sum of the numbers on the vertices is equal to $1001$, then what is the sum of the numbers written on the faces? | A | math_Algebra | mathematics | ||
allenai/sciq_1699 | allenai/sciq | What are ionic solutes?
A. carbohydrates
B. electrolytes
C. salts
D. solvent | B. electrolytes | Each substance can be classified as an ionic solute or a nonionic solute. Ionic solutes are electrolytes, and nonionic solutes are nonelectrolytes. Potassium chloride is an ionic compound; therefore, when it dissolves, its ions separate, making it an electrolyte. Fructose is a sugar similar to glucose. (In fact, it has... | high_school_chemistry | chemistry | |
mmlu_aux_train_39605 | mmlu_aux_train | Enter a typical high school, and the first thing you see is the front office, where the principal dwells and grades are stored. The front office also reinforces familiar hierarchy : principal at the top, teachers in the middle, kids on the bottom, sitting with hands folded at their desks. Now, imagine a school where th... | B. Students consult with "advisers", who "teach" in the traditional sense. | high_school_computer_science | computer_science | ||
allenai/sciq_11226 | allenai/sciq | What structure shows the bonding between atoms, with dots representing available electrons?
A. Pascal model
B. string theory
C. lewis structure
D. Mendelian model | C. lewis structure | Draw the Lewis electron dot diagram for each substance. Double or triple bonds may be needed. | college_chemistry | chemistry | |
mmlu_aux_train_68205 | mmlu_aux_train | QQ is one of the most popular chat tools among teenagers. We regard it as an important chat tool in our dailylife because it has some advantages. First, we can make lots of e-friends on QQ. It is easy to find the person who has the same interest as us, and we can talk with him or her happily. Second, we can also join ... | B. chat tool | high_school_computer_science | computer_science | ||
allenai/sciq_4471 | allenai/sciq | Refraction happens when light bends from doing what in a new medium?
A. changing brightness
B. changing speed
C. changing trajectory
D. changing color | B. changing speed | Facts are true. Data, gathered correctly, is factual. Facts and data are not subject to opinion or bias. | conceptual_physics | physics | |
aquarat_51389 | deepmind/aqua_rat | The mean of a data set is equal to 10 and its standard deviation is equal to 1. If we add 5 to each data value, then the mean and standard deviation become | A. mean = 15 , standard deviation = 6 B. mean = 10 , standard deviation = 6 C. mean = 15 , standard deviation = 1 D. mean = 10 , standard deviation = 1 E. None | C. mean = 15 , standard deviation = 1 | Solution
Since 5 is added to all data values, the mean will also increase by 5 and becomes 15. But the standard deviation which measure the "distance" between the mean and the data values does not change.
Answer C | high_school_statistics | mathematics |
math_477 | math_mc | Alexio has 100 cards numbered 1-100, inclusive, and places them in a box. Alexio then chooses a card from the box at random. What is the probability that the number on the card he chooses is a multiple of 2, 3 or 5? Express your answer as a common fraction. | C | math_Counting & Probability | mathematics | ||
aquarat_9623 | deepmind/aqua_rat | How many zeroes are there at the end of the number N, if N = 60! + 120! ? | A. 12 B. 14 C. 16 D. 18 E. 20 | B. 14 | The number of zeroes at the end of 60! will be less than the number of zeroes at the end of 120!
Hence it is sufficient to calculate the number of zeroes at the end of 60!
The number of zeroes = [60/5] + [60/25] + [60/125] = 12 + 2 + 0 = 14
The answer is B. | college_mathematics | mathematics |
mmlu_aux_train_76605 | mmlu_aux_train | If you are a computer game fan, you must have heard of StarCraft. Recently, the University of Florida opened a StarCraft class for students. Maybe you feel confused when you hear of the news, maybe you think I am joking. But that's true. In our mind, students are not allowed to play computer games by teachers and paren... | C. Because students can learn some important skills. | high_school_computer_science | computer_science | ||
aquarat_7268 | deepmind/aqua_rat | If each data point in a certain set Q is increased by a factor of 8, what happens with the set's standard deviation? | A. Doesn't Change B. Decreases by Factor 8 C. Increases by Factor 8 D. Increases by 8 E. Can't be determined | C. Increases by Factor 8 | Standard deviation questions will always be conceptual in nature, because the GMAT does not require that you be able to calculate standard deviation.Veritasteaches a concept known as themapping strategyfor data sufficiency, which helps make a problem like this easily understandable. The mapping strategy is just looking... | high_school_statistics | mathematics |
aquarat_9689 | deepmind/aqua_rat | If a certain sample of data has a mean of 30.0 and a standard deviation of 3.5, which of the following values is more than 2.5 standard deviations from the mean? | A. 12.0 B. 13.5 C. 17.0 D. 23.5 E. 26.5 | A. 12.0 | The standard deviation is 3.5. 2.5 standard deviations, which is just 2.5 x 3.5 is 8.75. The only answer more than 8.75 away from the mean is A. | high_school_statistics | mathematics |
aquarat_63356 | deepmind/aqua_rat | A set of data consists of the following 8 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers? | A. -1 and 9 B. 4 and 4 C. 3 and 5 D. 2 and 6 E. 0 and 8 | B. 4 and 4 | If you are in for some calculations , this is how I got to it
mean = 4
sd = \sqrt{8} = 2.8
Expected values for the SD to not change are - One value below SD from mean is (4 - 2.8) = 1.2 , and one value above SD is (4 + 2.8) = 6.8
This would mean , adding 1.2 ans 6.8 would have no impact on the SD . SD remains the same ... | high_school_statistics | mathematics |
NLP4Education_287 | NLP4Education | Let $f_{\mathrm{MLP}}: \mathbb{R}^{d} \rightarrow \mathbb{R}$ be an $L$-hidden layer multi-layer perceptron (MLP) such that
$$ f_{\mathrm{MLP}}(\mathbf{x})=\mathbf{w}^{\top} \sigma\left(\mathbf{W}_{L} \sigma\left(\mathbf{W}_{L-1} \ldots \sigma\left(\mathbf{W}_{1} \mathbf{x}\right)\right)\right) $$
with $\mathbf{w} \in... | C. $M! 2^M$ | machine_learning | computer_science | ||
allenai/sciq_9149 | allenai/sciq | The amount of power passed through transmission lines can be calculated by multiplying voltage by what?
A. induction
B. amplification
C. resistance
D. current | D. current | The amount of power passed through transmission lines can be calculated by multiplying voltage by current. The same power can be transmitted using a very high voltage and a very low current as with a low voltage and high current. | electrical_engineering | engineering | |
math_1088 | math_mc | Three of the edges of a cube are $\overline{AB}, \overline{BC},$ and $\overline{CD},$ and $\overline{AD}$ is an interior diagonal. Points $P, Q,$ and $R$ are on $\overline{AB}, \overline{BC},$ and $\overline{CD},$ respectively, so that $AP = 5, PB = 15, BQ = 15,$ and $CR = 10.$ What is the area of the polygon that is t... | C | math_Geometry | mathematics | ||
aquarat_71290 | deepmind/aqua_rat | A certain rectangular crate measures 12 feet by 16 feet by 18 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume? | A. 4 B. 5 C. 6 D. 8 E. 10 | D. 8 | For max volume of cylinder (pi*r^2*h) we need to max out r^2*h. We don't know what the dimensions of the crate refer to. . Therefore for max vol base should be 18x16 i.e. of radius 16/2 = 8
D | college_mathematics | mathematics |
mmlu_aux_train_10203 | mmlu_aux_train | It seems that many parents have a lot to learn about what their children are doing online. According to a recent survey by the Symantec Corporation, which makes many kinds of security software for home and business computers, there's a "significant digital divide between parents and their kids." Parents of children und... | A. some kids surveyed may go against their parents' rules | computer_security | computer_science | ||
math_1646 | math_mc | A standard six-sided die is rolled, and $P$ is the product of the five numbers that are visible. What is the largest number that is certain to divide $P$? | D | math_Number Theory | mathematics | ||
NLP4Education_377 | NLP4Education | Which of the following elements belongs to $\mathbb{Z}_{78}^*$?
A. 46
B. 35
C. 21
D. 65 | B. 35 | abstract_algebra | mathematics | ||
pythonio_112 | pythonio-mc | Program:
def extract_column(list1, n):
result = [i.pop(n) for i in list1]
return result
Input:
extract_column([[1, 3], [5, 7], [1, 3], [13, 15, 17], [5, 7], [9, 11]],0)
Output: | D | code | computer_science | ||
math_1131 | math_mc | Find the minimum value of
\[x^2 + 2xy + 3y^2 - 6x - 2y,\]over all real numbers $x$ and $y.$ | B | math_Intermediate Algebra | mathematics | ||
aquarat_89824 | deepmind/aqua_rat | The exam scores of all 500 students were recorded and it was determined that these scores were normally distributed. If Jane's score is 0.8 standard deviation above the mean, then how many, to the nearest unit, students scored above Jane? | A. 394 B. 250 C. 400 D. 106 E. None | D. 106 | Solution
Let m be the mean and s be the standard deviation and find the z score.
z = (x - m) /s = (0.8 s + m - m) / s = 0.8
The percentage of student who scored above Jane is (from table of normal distribution).
1 - 0.7881 = 0.2119 = 21.19%
The number of student who scored above Jane is (from table of normal distributi... | high_school_statistics | mathematics |
allenai/sciq_5627 | allenai/sciq | Most food chains and webs have a maximum of how many trophic levels?
A. 3
B. 4
C. 6
D. 10 | B. 4 | A trophic level is a feeding position in a food chain or food web. Most food chains and webs have a maximum of four trophic levels. There is less energy and biomass at higher trophic levels. | high_school_biology | biology | |
allenai/sciq_10238 | allenai/sciq | What is the spreading of white light into its full spectrum of wavelengths called?
A. condensation
B. saturation
C. dispersion
D. radiate | C. dispersion | 25.5 Dispersion: The Rainbow and Prisms • The spreading of white light into its full spectrum of wavelengths is called dispersion. • Rainbows are produced by a combination of refraction and reflection and involve the dispersion of sunlight into a continuous distribution of colors. • Dispersion produces beautiful rainbo... | high_school_physics | physics | |
pythonio_929 | pythonio-mc | Program:
import re
def split_list(text):
return (re.findall('[A-Z][^A-Z]*', text))
Input:
split_list("ApmlifyingTheBlack+DeveloperCommunity")
Output: | C | code | computer_science | ||
math_1595 | math_mc | By a proper divisor of a natural number we mean a positive integral divisor other than 1 and the number itself. A natural number greater than 1 will be called nice if it is equal to the product of its distinct proper divisors. What is the sum of the first ten nice numbers?
| C | math_Number Theory | mathematics | ||
math_1605 | math_mc | A four-digit integer $m$ and the four-digit integer obtained by reversing the order of the digits of $m$ are both divisible by 45. If $m$ is divisible by 7, what is the greatest possible value of $m$? | B | math_Number Theory | mathematics | ||
aquarat_86183 | deepmind/aqua_rat | In particular old age home, 60% are suffering from diabetic and at the same time 80% are suffering from blood pressure.If suppose 75% are suffering from diabetic,what percentage of old people suffering from blood pressure at the same old age home? | A. 23 B. 16 C. 26 D. 36 E. 20 | D. 36 | given : % of people suffering from diabetics = 60%; % of people suffering from blood pressure = 80% (ie ) 0.8
total =75*100; Those who are suffering from diabetics= 75 - 60 = 15; Those who are suffering from blood pressure =
100 - 80=20; so those who are suffering from blood pressure =0.8*20=16; Total number of people ... | high_school_statistics | mathematics |
aquarat_1903 | deepmind/aqua_rat | For which of the following functions does f(−y)=−f(y) for all real number values of x? | A. y^8−y^4 B. y^2−y^6 C. y^5/y^7 D. y^9/(y^5+1) E. -32/5 putting y=2 on y^5/(y^2+1) | A. y^8−y^4 | all even root cannot be matched eliminated
put y=2
f(−y)=(−2)^5/(−2^)2+1=−32/5, and
−f(y)=−2^5/2^2+1=−32/5, for a match.
ANSWER: A | college_mathematics | mathematics |
allenai/sciq_5203 | allenai/sciq | The two parts of photosynthesis photosynthesis takes place in two stages: the light-dependent reactions and which cycle?
A. colors cycle
B. dark cycle
C. calvin cycle
D. klein cycle | C. calvin cycle | The Two Parts of Photosynthesis Photosynthesis takes place in two stages: the light-dependent reactions and the Calvin cycle. In the light-dependent reactions, which take place at the thylakoid membrane, chlorophyll absorbs energy from sunlight and then converts it into chemical energy with the use of water. The light-... | high_school_biology | biology | |
NLP4Education_195 | NLP4Education | What is a good representation for scores when classifying these three target classes: Car, Bike and Bus, in the context of logistic regression? (One or multiple answers)
A. {Car: $(0,1,0)$, Bike: $(1,0,0)$, Bus: $(0,0,1)$}
B. {Car: $(0,1)$, Bike: $(1,0)$, Bus: $(1,1)$}
C. {Car: $1$, Bike: $2$, Bus: $3$}
D. {Car: $(0,1)... | A. {Car: $(0,1,0)$, Bike: $(1,0,0)$, Bus: $(0,0,1)$} | college_mathematics | mathematics | ||
allenai/sciq_8361 | allenai/sciq | A change in one or more physical properties of matter without any change in chemical properties is called what?
A. positive change
B. physical change
C. atmospheric change
D. negative change | B. physical change | A physical change is a change in one or more physical properties of matter without any change in chemical properties. In other words, matter doesn’t change into a different substance in a physical change. Examples of physical change include changes in the size or shape of matter. Changes of state—for example, from soli... | high_school_chemistry | chemistry | |
NLP4Education_140 | NLP4Education | The number of parameters of the fasttext classifier and the simple self-attention classifier
A. Are the same
B. Fasttext has more
C. Self-attention has more
D. Self-attention has fewer | A. Are the same | machine_learning | computer_science | ||
math_1917 | math_mc | In a right-angled triangle, the sum of the squares of the three side lengths is 1800. What is the length of the hypotenuse of this triangle? | C | math_Prealgebra | mathematics | ||
mmlu_aux_train_50800 | mmlu_aux_train | Moscow,Russia(Space news)-"The computer is a better chess player,"insisted Viktor Prozorov,the loser ." It seemed as if it were laughing after every good move.I know I should have beaten it for the sake of mankind ,but I just couldn't win," he announced and shook his head sadly. Prozorov's disappointment was shared by ... | D. Computer defeats man in chess! | high_school_computer_science | computer_science | ||
aquarat_6004 | deepmind/aqua_rat | The value of ((x – y)³ + (y - z)³ + (z – x)³)/(21 (x – y) (y – z) (z – x))
is equal to : | A. 0 B. 1/12 C. 1/7 D. 1/4 E. 1/3 | C. 1/7 | Since (x – y) + (y – z) + (z – x) = 0,
so (x – y)³ + (y – z)³ + (z – x)³= 3 (x – y) (y – z) (z – x).
(3 (x – y) (y – z) (z – x))/(21(x – y) (y – z) (z – x)) = 1/7.
ANSWER:C | college_mathematics | mathematics |
allenai/sciq_11164 | allenai/sciq | What structure is the site of all of the basic biochemical processes that keep organisms alive?
A. Atom
B. particle
C. Element
D. cell | D. cell | The cell is the site of all of the basic biochemical processes that keep organisms alive. To do its work, the cell needs substances such as oxygen, water, and glucose. The cell also must get rid of substances, including wastes such as carbon dioxide. In addition, harmful substances must be kept out of the cell. Control... | college_biology | biology | |
aquarat_58835 | deepmind/aqua_rat | 70,75, 73,76,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviatio... | A. 1 B. 2 C. 3 D. 4 E. 5 | C. 3 | How many of the 10 running times are more than one SD below the meanmeans how many data points from given 10 are less thanmean-1SD.
We are given that SD=22.4, so we should find mean --> mean=100 --> there are only 3 data points below 100-22.4=77.6, namely 70, 73 and 75.
Answer: C. | high_school_statistics | mathematics |
mmlu_aux_train_4402 | mmlu_aux_train | Freda always hangs her wet swimsuit outdoors after getting out of the swimming pool. Which of the following is least likely to affect the rate at which Freda's swimsuit dries?
A. the heat of the Sun
B. the speed of the wind
C. the temperature of the water in the pool
D. the amount of water vapor in the air | C. the temperature of the water in the pool | high_school_physics | physics | ||
allenai/sciq_161 | allenai/sciq | What type of pressure is the pressure exerted by gas particles in earth’s atmosphere as those particles collide with objects?
A. vertical pressure
B. adjacent pressure
C. atmospheric pressure
D. adjacent pressure | C. atmospheric pressure | Atmospheric pressure is the pressure exerted by gas particles in Earth’s atmosphere as those particles collide with objects. A barometer is an instrument used to measure atmospheric pressure. A traditional mercury barometer consists of an evacuated tube immersed in a container of mercury. Air molecules push down on the... | conceptual_physics | physics | |
mmlu_aux_train_79514 | mmlu_aux_train | Soon computers and other machines will be able to remember you by looking at your eyes! The programme works because everyone's eyes are different. So in the future you won't have to remember a number when you want to use a machine or take money out of a bank. You'll just have to look at the machine and it will be able ... | B. Banks and shops. | computer_security | computer_science | ||
mmlu_aux_train_69783 | mmlu_aux_train | There is a famous English saying "You are what you eat", and _ means what you put in your mouth will become part of you. Many experts use it to tell people it's important to have a good eating habit. For example, too much sweet food makes a person overweight . To avoid being fat, kids are told to keep off sweet food.... | D. friendly | college_biology | biology | ||
NLP4Education_722 | NLP4Education | Which of the following is/are true about stack canaries?
A. Stack canaries do not protect against format string vulnerabilities.
B. Stack canaries on Linux are generated per process.
C. Stack canary instrumentation is, by default, inserted into every single function by the compiler.
D. Stack canaries guarantee protecti... | A. Stack canaries do not protect against format string vulnerabilities. | computer_security | computer_science | ||
mmlu_aux_train_97373 | mmlu_aux_train | What will air usually do when heated up beyond a certain point?
A. it will fall
B. it will remain
C. it will ascend
D. it will die | C. it will ascend | high_school_physics | physics | ||
math_1949 | math_mc | A regular polygon has sides of length 5 units and an exterior angle of 120 degrees. What is the perimeter of the polygon, in units? | B | math_Prealgebra | mathematics | ||
mmlu_aux_train_30229 | mmlu_aux_train | Can you remember the first time you learned to ride a bike or drive a car? Learning these skills changed your life forever and opened up new horizons.Learning about computers can be like learning how to ride a bike or drive a car.Once you have invested the time to master the skills, you will never go back to the old da... | C. it leads people to new life experiences | high_school_computer_science | computer_science | ||
allenai/sciq_8247 | allenai/sciq | Metals are elements that can conduct what?
A. cycle
B. electricity
C. orchestras
D. pollution | B. electricity | Metals are elements that can conduct electricity. Most elements are metals. | high_school_chemistry | chemistry | |
mmlu_aux_train_98027 | mmlu_aux_train | Battery powered vehicles have less emissions than
A. lawnmowers
B. wind turbines
C. solar power
D. dragsters | D. dragsters | conceptual_physics | physics | ||
aquarat_29488 | deepmind/aqua_rat | Given that E and F are events such that P(E) = 15, P(F) = 10 and P(E n F) = 15,
find P (E|F) and P(F|E) | A. 3/2 B. 4/5 C. 6/2 D. 8/5 E. 8/9 | A. 3/2 | Here, E and F are events
P(E|F) = P(EnF)/P(F) = 15/5 = 1
P(F|E) = P(EnF)/P(E) = 15/10 = 3/2.
A) | high_school_statistics | mathematics |
allenai/sciq_6165 | allenai/sciq | What forms a ketone when oxidized?
A. aldehyde
B. enzyme
C. carbolic acid
D. secondary alcohol | D. secondary alcohol | A secondary alcohol forms a ketone when oxidized. The secondary alcohol cannot be further oxidized to produce a carboxylic acid. Tertiary alcohols cannot be oxidized in this way, because the carbon atom bonded to the OH group is not also bonded to any hydrogens. | high_school_chemistry | chemistry | |
math_943 | math_mc | The triangle $\triangle ABC$ is an isosceles triangle where $AB = 4\sqrt{2}$ and $\angle B$ is a right angle. If $I$ is the incenter of $\triangle ABC,$ then what is $BI$?
Express your answer in the form $a + b\sqrt{c},$ where $a,$ $b,$ and $c$ are integers, and $c$ is not divisible by any perfect square other than $1... | D | math_Geometry | mathematics | ||
math_1179 | math_mc | Find all values of $k$ for which the positive difference between the solutions of
\[5x^2 + 4x + k = 0\]equals the sum of the squares of these solutions. Enter all possible values of $k,$ separated by commas. | B | math_Intermediate Algebra | mathematics | ||
allenai/sciq_9905 | allenai/sciq | What is the change of state from a solid to a gas without passing through the liquid state?
A. sublimation
B. speciation
C. neutralization
D. vaporization | A. sublimation | Sublimation is the change of state from a solid to a gas without passing through the liquid state. | high_school_chemistry | chemistry | |
aquarat_31712 | deepmind/aqua_rat | A computer program generates a sequence of numbers a1, a2, a3,... such that a1=1, a2=2, and ak = a(k-1) + 3ak-2 for 2 < k < n for n=20. Find a5. | A. 10 B. 24 C. 28 D. 32 E. 38 | C. 28 | a1=1
a2=2
a3=3*2-2=4
a4=3*4-2=10
a5=3*10-2=28
28 | coding | computer_science |
mmlu_aux_train_79718 | mmlu_aux_train | A recent survey showed that only 9 percent of teens in the United States smoke cigarettes.That's down from 23 percent in 2000.While this is good news for the US's overall health, tobacco use is still a problem. Cigarettes can cause many diseases, such as cancer ,lung cliscases and heart problems.Although they know abou... | B. 23 percent | high_school_statistics | mathematics | ||
mmlu_aux_train_87250 | mmlu_aux_train | One day Tom borrowed a pot from his neighbour, Ali. The next day he brought it back with another little pot inside. "That's not mine," said Ali. "Yes, it is." said Tom, "While your pot was staying with me, it had a baby." Some time later, Tom asked Ali to lend him a pot again. Ali said yes, hoping that he would once a... | D. Ali. | formal_logic | mathematics | ||
mmlu_aux_train_99652 | mmlu_aux_train | Food is less risky to consume when
A. spoiled
B. fully cooked
C. defecated on
D. rotted | B. fully cooked | high_school_biology | biology | ||
math_1572 | math_mc | One of Euler's conjectures was disproved in the 1960s by three American mathematicians when they showed there was a positive integer such that $133^5+110^5+84^5+27^5=n^{5}$. Find the value of $n$.
| D | math_Number Theory | mathematics | ||
mmlu_aux_train_54609 | mmlu_aux_train | According to a report by London's Sunday Times on December 24, 2011, the world's youngest professional gamer is an 8-year -old American boy, Victor De Leon. Victor has been gaming since age two, when his dad used to hand him a game-controller to soothe crying mood . He then gradually turned himself into Lil poison, kin... | D. Victor has become an image spokesman of a company | high_school_computer_science | computer_science | ||
math_349 | math_mc | There is only one value of $k$ for which the line $x=k$ intersects the graphs of $y=x^2+6x+5$ and $y=mx+b$ at two points which are exactly $5$ units apart. If the line $y=mx+b$ passes through the point $(1,6)$, and $b\neq 0$, find the equation of the line. Enter your answer in the form "$y = mx + b$". | A | math_Algebra | mathematics | ||
math_1107 | math_mc | Faces $ABC$ and $BCD$ of tetrahedron $ABCD$ meet at an angle of $30^\circ$. The area of face $ABC$ is $120$, the area of face $BCD$ is $80$, and $BC=10$. Find the volume of the tetrahedron.
| B | math_Geometry | mathematics | ||
mmlu_aux_train_96171 | mmlu_aux_train | At a campsite one night we all gather round a fire to roast marshmallows; this is an example of
A. dinner
B. fusion
C. maillard reaction
D. competition | C. maillard reaction | high_school_chemistry | chemistry | ||
math_1763 | math_mc | In base $b$, there are exactly one hundred three-digit numbers whose digits are all distinct. (That's "one hundred" in the ordinary sense, $100_{10}$.)
What is $b$? | A | math_Number Theory | mathematics | ||
pythonio_365 | pythonio-mc | Program:
def find_Points(l1,r1,l2,r2):
x = min(l1,l2) if (l1 != l2) else -1
y = max(r1,r2) if (r1 != r2) else -1
return (x,y)
Input:
find_Points(1,5,2,8)
Output: | B | code | computer_science | ||
NLP4Education_663 | NLP4Education | The statistical distance between two distributions is …
A. unrelated to the advantage of a distinguisher.
B. a lower bound on the advantage of all distinguishers (with a unique sample).
C. an upper bound on the advantage of all distinguishers (with a unique sample).
D. an upper bound on the advantage of all distinguish... | C. an upper bound on the advantage of all distinguishers (with a unique sample). | computer_security | computer_science | ||
allenai/sciq_11613 | allenai/sciq | What is the term for an electronic component that consists of many other electronic components?
A. creating circuit
B. networks
C. electrical current
D. integrated circuit | D. integrated circuit | An integrated circuit (microchip) is an electronic component that consists of many other electronic components such as transistors. Integrated circuits are used in virtually all modern electronic devices to carry out specific tasks. | electrical_engineering | engineering | |
allenai/sciq_1968 | allenai/sciq | What measures the height of the largest seismic wave or earth quakes?
A. magnitude scale
B. The EF Scale
C. tremor scale
D. richter scale | D. richter scale | The intensity of an earthquake can be determined in many ways. The Mercalli Scale identifies the damage done and what people feel, the Richter Scale measures the height of the largest seismic wave, and the moment magnitude scale measures the total energy released by an earthquake. | earth_science | earth_science | |
allenai/sciq_913 | allenai/sciq | Under appropriate conditions, the attractions between all molecules in what state will cause them to form liquids or solids?
A. gas
B. soild
C. liquid
D. plasma | A. gas | Forces between Molecules Under appropriate conditions, the attractions between all gas molecules will cause them to form liquids or solids. This is due to intermolecular forces, not intramolecular forces. Intramolecular forces are those within the molecule that keep the molecule together, for example, the bonds between... | college_chemistry | chemistry | |
NLP4Education_168 | NLP4Education | When using linear regression, which techniques improve your result? (One or multiple answers)
A. Linear regression does not allow adding features that are non-linear combinations of existing features.
B. Adding new features that represent non-linear combinations of existing features.
C. Preserving strict linearity by e... | B. Adding new features that represent non-linear combinations of existing features. | machine_learning | computer_science | ||
allenai/sciq_8959 | allenai/sciq | Which system is capable of responding quickly to changing situations?
A. reproductive system
B. endocrine system
C. circulatory system
D. nervous system | D. nervous system | In addition, endocrine signaling is typically less specific than neural signaling. The same hormone may play a role in a variety of different physiological processes depending on the target cells involved. For example, the hormone oxytocin promotes uterine contractions in women in labor. It is also important in breastf... | high_school_biology | biology | |
pythonio_150 | pythonio-mc | Program:
def empty_list(length):
empty_list = [{} for _ in range(length)]
return empty_list
Input:
empty_list(7)
Output: | C | code | computer_science | ||
allenai/sciq_8493 | allenai/sciq | What is another term for chemical messenger molecules?
A. acids
B. pheromones
C. enzymes
D. hormones | D. hormones | an endocrine system with glands that secrete chemical messenger molecules called hormones. | high_school_biology | biology | |
math_233 | math_mc | What is the range of the function $y = \frac{x^2 + 3x + 2}{x+1}$? (Express your answer using interval notation.) | A | math_Algebra | mathematics | ||
mmlu_aux_train_73843 | mmlu_aux_train | Have you ever wondered how and why a fall leaf changes color? We first have to understand what leaves are and what they do. Plants are the world's food factories. Plants take water from the ground and take CO2from the air. Plants use sunlight to turn water and CO2into glucose . Glucose is a kind of sugar. Using it as f... | A. summer | high_school_biology | biology | ||
allenai/sciq_2582 | allenai/sciq | What was once believed to be the smallest of all particles, as dalton's theory proposed?
A. molecule
B. neutron
C. atom
D. nucleus | C. atom | Dalton’s theory was soon widely accepted. Most of it is still accepted today. The only part that is no longer accepted is his idea that atoms are the smallest particles. Scientists now know that atoms consist of even smaller particles. | college_chemistry | chemistry | |
pythonio_18 | pythonio-mc | Program:
import heapq
def small_nnum(list1,n):
smallest=heapq.nsmallest(n,list1)
return smallest
Input:
small_nnum([10, 20, 50, 70, 90, 20, 50, 40, 60, 80, 100],5)
Output: | A | code | computer_science | ||
mmlu_aux_train_98748 | mmlu_aux_train | The everglades where nearly wiped out by
A. the sun
B. builders
C. sea cows
D. alligators | B. builders | high_school_biology | biology | ||
math_1468 | math_mc | For each integer $n \ge 2$, let $A(n)$ be the area of the region in the coordinate plane defined by the inequalities $1\le x \le n$ and $0\le y \le x \left\lfloor \sqrt x \right\rfloor$, where $\left\lfloor \sqrt x \right\rfloor$ is the greatest integer not exceeding $\sqrt x$. Find the number of values of $n$ with $2\... | C | math_Intermediate Algebra | mathematics | ||
allenai/sciq_3492 | allenai/sciq | What organ is made up of over one million nephrons that dot the renal cortex?
A. gall bladder
B. lungs
C. kidney
D. stomach | C. kidney | Which of the following statements about the kidney is false? a. The renal pelvis drains into the ureter. The renal pyramids are in the medulla. The cortex covers the capsule. Nephrons are in the renal cortex. Because the kidney filters blood, its network of blood vessels is an important component of its structure and f... | high_school_biology | biology | |
math_143 | math_mc | For some constants $a$ and $b,$ let \[f(x) = \left\{
\begin{array}{cl}
ax + b & \text{if } x < 2, \\
8 - 3x & \text{if } x \ge 2.
\end{array}
\right.\]The function $f$ has the property that $f(f(x)) = x$ for all $x.$ What is $a + b?$ | A | math_Algebra | mathematics | ||
mmlu_aux_train_19060 | mmlu_aux_train | British singer Sarah Brightman began training for a 2015 flight to the International Space Station where she hopes to become the first professional musician to sing from space, the company arranging the trip said on Tuesday. Brightman, a famed soprano who starred in Andrew Lloyd Webber' s "Phantom of the Opera" , wil... | D. To give some information about Brightman. | astronomy | physics | ||
allenai/sciq_1416 | allenai/sciq | Whan an alkene is aquired by an alkyl halide in an organic reaction, what kind of reaction is this?
A. migration
B. extinction
C. subtraction
D. elimination | D. elimination | When an alkene is acquired by an alkyl halide during an organic reaction. An example of elimination reaction. | college_chemistry | chemistry | |
math_1712 | math_mc | Let $a_n$ be the integer obtained by writing all the integers from $1$ to $n$ from left to right. For example, $a_3 = 123$ and $a_{11} = 1234567891011$. Compute the remainder when $a_{44}$ is divided by $45$. | B | math_Number Theory | mathematics | ||
math_63 | math_mc | If $g(x)=\sqrt[3]{\frac{x+3}{4}}$, for what value of $x$ will $g(2x)=2(g(x))$? Express your answer in simplest form. | C | math_Algebra | mathematics |
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