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 |
|---|---|---|---|---|---|---|---|
aquarat_77158 | deepmind/aqua_rat | For which of the following functions is f(w+b)=f(w)+f(b) for all positive numbers w and b? | A. a) f(x)=x^2 B. b) f(x)=x+1 C. c) f(x)=root x D. d) f(x)=2/x E. e) f(x)= -3x | E. e) f(x)= -3x | f(w+b)=f(w)+f(b)= E | college_mathematics | mathematics |
allenai/sciq_2948 | allenai/sciq | The thermal properties of what substance largely contribute to the temperature climate of europe?
A. water
B. soil
C. clouds
D. lava | A. water | mass, water should be a gas at room temperature (20°C), but the strong intermolecular interactions in liquid water greatly increase its boiling point. Hydrogen bonding also produces the relatively open molecular arrangement found in ice, which causes ice to be less dense than water. Because ice floats on the surface of... | college_earth_science | earth_science | |
mmlu_aux_train_38606 | mmlu_aux_train | Let's do some sleep math. You lost two hours of sleep every night last week because of a big project due on Friday. On Saturday and Sunday, you slept in, getting four extra hours. On Monday morning, you were feeling so bright-eyed, and you only had one cup of coffee, instead of your usual two. But don't be cheated by y... | A. how you build up your sleep debt | high_school_biology | biology | ||
NLP4Education_632 | NLP4Education | Which assertion has not been proven?
A. SAT $\in NP$.
B. SAT is $NP$-complete.
C. SAT $\in IP$.
D. SAT $\in P$. | D. SAT $\in P$. | formal_logic | mathematics | ||
aquarat_15503 | deepmind/aqua_rat | For how many values n is 2^x = x^2 ? | A. Three B. One C. Two D. None E. More than Three | A. Three | draw a graph with x^2 and 2^x, you'll see 3 intercepts between the 2 curves and the answer is A | college_mathematics | mathematics |
mmlu_aux_train_94522 | mmlu_aux_train | Some machines can remove the salt that is in seawater. How does removing salt from seawater most help people?
A. provides useable drinking water
B. creates cleaner water for rivers
C. enables more fish to live in lake water
D. allows more plants to grow along rivers | A. provides useable drinking water | high_school_biology | biology | ||
NLP4Education_768 | NLP4Education | Consider the following mysterious binary encoding:
\begin{center}
\begin{tabular}{c|c}
symbol & encoding \\
\hline
$a$ & $??0$\\
$b$ & $??0$\\
$c$ & $??0$\\
$d$ & $??0$
\end{tabular}
\end{center}
where with '$?$' we mean that we do not know which bit is assigned as the first tw... | A. The encoding is uniquely-decodable. | college_computer_science | computer_science | ||
NLP4Education_721 | NLP4Education | Which of the following mitigation(s) can prevent reliable exploitation of the following vulnerable code snippet?
\begin{lstlisting}[language=C,style=c]
#include <stdio.h>
#include <stdlib.h>
void win(void) {
system("/bin/sh");
}
int main(int argc, char *argv[]) {
char buf[128];
scanf("%126[^\n]", buf); /... | A. ASLR for position-independent executables | computer_security | computer_science | ||
mmlu_aux_train_97892 | mmlu_aux_train | Electrical flow can be slowed down if there is an insulator
A. protected
B. avoided
C. active
D. demoted | C. active | electrical_engineering | engineering | ||
allenai/sciq_9328 | allenai/sciq | Why do electronegativities decrease from top to bottom?
A. larger electric pull
B. larger atomic variation
C. smaller atomic size
D. larger atomic size | D. larger atomic size | Electronegativities generally increase from left to right across a period. This is due to an increase in nuclear charge because of the greater number of protons in the nucleus. Alkali metals have the lowest electronegativities, while halogens have the highest. Because most noble gases do not form compounds, they are ge... | high_school_chemistry | chemistry | |
aquarat_94762 | deepmind/aqua_rat | Which of the following functions does not intersect with R = 3x^2 + 2x + 1 | A. R = 3x^2 + 3x + 1 B. R = 2x^2 + 3x + 1 C. R = 3x^2 + 2x + 3 D. R = 4x^2 + 2x - 3 E. R = x^2 + 2x + 3 | C. R = 3x^2 + 2x + 3 | Let’s find the actual intersecting point of given function and each choice R
A. 3x^2 + 2x + 1 = 3x^2 + 3x + 1 --> x=0
B. 3x^2 + 2x + 1 = 2x^2 + 3x + 1 --> x^2 – x =0 --> x=0 or 1
C. 3x^2 + 2x + 1 = 3x^2 + 2x + 3 --> 1=3(X) --> they don’t have any intersect.
D. 3x^2 + 2x + 1 = 4x^2 + 2x - 3 --> x^2 –4=0 --> x= 2 or -2
E... | college_mathematics | mathematics |
aquarat_8077 | deepmind/aqua_rat | Set Q consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set Q by 50, set Y is derived by multiplying each term in set Q by 1.5, and set Z is derived by dividing each term in set Q by -4. Which of the following represents the ranking of the three sets in descending ord... | A. X, Y, Z B. X, Z, Y C. Y, Z, X D. Y, X, Z E. Z, Y, X | D. Y, X, Z | Set Q - {2, 4, ..., 100};
Set X - {-48, -46, ..., 50};
Set Y - {3, 6, ..., 150};
Set Z - {-2/4, -4/4, ..., -100/4} = {-1/2, -1, -3/2, ..., -25}.
If we add or subtract a constant to each term in a set the SD will not change, so sets Q and X will have the same SD.
If we increase or decrease each term in a set by the same... | college_mathematics | mathematics |
allenai/sciq_8969 | allenai/sciq | What type of sedimentary rocks are made of minerals that precipitate from saline water?
A. chemical sedimentary rocks
B. sandstone
C. shale
D. limestone | A. chemical sedimentary rocks | The main types of sedimentary rocks are clastic or chemical. Some sedimentary rocks are a third type, organic. Clastic sedimentary rocks are made of sediments. The sediments differ in size. Chemical sedimentary rocks are made of minerals that precipitate from saline water. Organic sedimentary rocks are made from the bo... | college_geology | earth_science | |
math_1714 | math_mc | Determine the sum of all prime numbers $p$ for which there exists no integer solution in $x$ to the congruence $3(6x+1)\equiv 4\pmod p$. | B | math_Number Theory | mathematics | ||
NLP4Education_416 | NLP4Education | Select \emph{incorrect} statement. The brute force technique against a cipher with key $256$ bits is
A. impossible even if we can compute without burning an energy.
B. impossible since the number of possible keys is too high $2^{256} \approx 10^{77}$.
C. impossible in future even if we consider Moore's law.
D. feasible... | D. feasible using all clusters at EPFL. | computer_security | computer_science | ||
math_1322 | math_mc | Find all values of $x > 4$ which satisfy
\[\sqrt{x - 4 \sqrt{x - 4}} + 2 = \sqrt{x + 4 \sqrt{x - 4}} - 2.\] | A | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_63678 | mmlu_aux_train | John wanted to buy some new clothes, so he went to a shop. First he asked for some trousers and put them on, but then he took them off and gave them back to the shopkeeper and said, "No, give me a coat instead of these trousers." The man gave him a coat and said "This one costs the same as the trousers." John took the ... | D. For some new clothes. | formal_logic | mathematics | ||
allenai/sciq_11146 | allenai/sciq | A solute generally has what effect on the boiling point of a solvent?
A. lowers
B. randomizes
C. none
D. raises | D. raises | In harmonic motion there is always a restorative force , which acts in the opposite direction of the velocity. The restorative force changes during oscillation and depends on the position of the object. In a pendulum it is the component of gravity along the path of motion. The force on the oscillating object is directl... | high_school_chemistry | chemistry | |
allenai/sciq_11098 | allenai/sciq | What group of simple organisms recycles nutrients and has been on earth since long before multicellular life appeared?
A. bacteria
B. protists
C. eukaryotes
D. prokaryotes | D. prokaryotes | 22.1 | Prokaryotic Diversity By the end of this section, you will be able to: • Describe the evolutionary history of prokaryotes • Discuss the distinguishing features of extremophiles • Explain why it is difficult to culture prokaryotes Prokaryotes are ubiquitous. They cover every imaginable surface where there is suff... | high_school_biology | biology | |
pythonio_381 | pythonio-mc | Program:
def count_char(string,char):
count = 0
for i in range(len(string)):
if(string[i] == char):
count = count + 1
return count
Input:
count_char("assert",'s')
Output: | C | code | computer_science | ||
mmlu_aux_train_35382 | mmlu_aux_train | What if you arrived home to find a delicious hot meal waiting for you, prepared by your own kitchen robot? It might sound like science fiction, but professors at the University of Tokyo have taken the first steps toward making that a reality. The team recently introduced a human-shaped kitchen robot that can pour tea a... | D. looks more like a person | college_computer_science | computer_science | ||
math_1099 | math_mc | In triangle $ABC$, $AB=125$, $AC=117$ and $BC=120$. The angle bisector of angle $A$ intersects $\overline{BC}$ at point $L$, and the angle bisector of angle $B$ intersects $\overline{AC}$ at point $K$. Let $M$ and $N$ be the feet of the perpendiculars from $C$ to $\overline{BK}$ and $\overline{AL}$, respectively. Find ... | D | math_Geometry | mathematics | ||
math_669 | math_mc | For each permutation $a_1,a_2,a_3,\cdots,a_{10}$ of the integers $1,2,3,\cdots,10$, form the sum
\[|a_1-a_2|+|a_3-a_4|+|a_5-a_6|+|a_7-a_8|+|a_9-a_{10}|.\]
The average value of all such sums can be written in the form $\dfrac{p}{q}$, where $p$ and $q$ are relatively prime positive integers. Find $p+q$.
| D | math_Counting & Probability | mathematics | ||
allenai/sciq_9412 | allenai/sciq | What is the term for how close a measurement is to the true value?
A. correctness
B. accuracy
C. validity
D. frequency | B. accuracy | Accuracy is how close a measurement is to the true value. For example, 66 mL is a fairly accurate measurement of the liquid in Figure above . | high_school_physics | physics | |
aquarat_25124 | deepmind/aqua_rat | Nr Books bought Nr of People
6 3
7 1
8 5
9 2
What is the median of books bought per person? | A. a) 2 B. b) 4 C. c) 6 D. d) 8 E. e) 18 | D. d) 8 | 6,6,6,7,8,8,8,8,8,9,9
so you will observer that the median of the list is 8. Ans D | high_school_statistics | mathematics |
pythonio_486 | pythonio-mc | Program:
from operator import eq
def count_same_pair(nums1, nums2):
result = sum(map(eq, nums1, nums2))
return result
Input:
count_same_pair([0, 1, 2, -1, -5, 6, 0, -3, -2, 3, 4, 6, 8],[2, 1, 2, -1, -5, 6, 4, -3, -2, 3, 4, 6, 8])
Output: | C | code | computer_science | ||
math_1724 | math_mc | Let $m$ be the product of all positive integers less than $4!$ which are invertible modulo $4!$. Find the remainder when $m$ is divided by $4!$.
(Here $n!$ denotes $1\times\cdots\times n$ for each positive integer $n$.) | B | math_Number Theory | mathematics | ||
mmlu_aux_train_57679 | mmlu_aux_train | Fourteen is not an age at which you try to earn millions of dollars. But for Bangalore boy, Suhas Gopinath, it was. One day in August, 1999, Suhas, studying at the Air Force School in Hebbal, was surfing the Net at a cyber cafe. He happened to hit an MSN source code . That made him decide to learn more about HTML an... | C. worried about his studies | high_school_computer_science | computer_science | ||
math_460 | math_mc | What is the probability that Fatima gets fewer heads than tails if she flips 10 coins? | D | math_Counting & Probability | mathematics | ||
allenai/sciq_1946 | allenai/sciq | Compounds containing an atom of what element, bonded in a hydrocarbon framework, are classified as amines?
A. oxygen
B. ammonia
C. nitrogen
D. hydrogen | C. nitrogen | 20.2 Alcohols and Ethers Many organic compounds that are not hydrocarbons can be thought of as derivatives of hydrocarbons. A hydrocarbon derivative can be formed by replacing one or more hydrogen atoms of a hydrocarbon by a functional group, which contains at least one atom of an element other than carbon or hydrogen.... | high_school_chemistry | chemistry | |
allenai/sciq_23 | allenai/sciq | Which muscles allow your fingers to also make precise movements for actions?
A. intrinsic muscles
B. fine movement muscles
C. paired muscles
D. motoric muscles | A. intrinsic muscles | Intrinsic Muscles of the Hand The intrinsic muscles of the hand both originate and insert within it (Figure 11.28). These muscles allow your fingers to also make precise movements for actions, such as typing or writing. These muscles are divided into three groups. The thenar muscles are on the radial aspect of the palm... | anatomy | biology | |
math_2134 | math_mc | The vector $\begin{pmatrix} 1 \\ 2 \\ 2 \end{pmatrix}$ is rotated $90^\circ$ about the origin. During the rotation, it passes through the $x$-axis. Find the resulting vector. | B | math_Precalculus | mathematics | ||
aquarat_26677 | deepmind/aqua_rat | If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a20 is equal to ? | A. a. 5*2^99-6 B. b.6 * 2^19 - 5 C. c. 6*2^99+5 D. d. 6*2^99-5 E. e. 6*2^99-6 | B. b.6 * 2^19 - 5 | Here is my solution:
an+1=2an+5............(1)
lets ADD 5 to both sides....
so (an+1) + 5= 2 (an+5)....................taking 2 as common factor
now a1=1. so for n=1, an+5=6.......
putting n=1. we get both sides as,
a2 + 5= 2 * 6 ..............as ( an+5=6 .......(for n=1)..)
a2= 2 *6 - 5
a2= 2 * 2 *3 - 5
a2= 2^2 *3 - 5... | college_mathematics | mathematics |
mmlu_aux_train_11235 | mmlu_aux_train | Do you often lose things? Don't worry. Now a new tool that can be connected to any object you might lose may be the way to solve your problem. The Tile, a small square linked up to your iphone or ipad by means of Bluetooth, lets you see how close you are to your missing item, within a 50-to-150-foot range. If the item ... | B. To find your missing items | computer_security | computer_science | ||
allenai/sciq_884 | allenai/sciq | Which elements fall between metals and nonmetals in the periodic table?
A. halogens
B. noble gases
C. metalloids
D. synthetics | C. metalloids | Metalloids are elements that fall between metals and nonmetals in the periodic table. Just seven elements are metalloids, so they are the smallest class of elements. In Figure above , they are color-coded orange. Examples of metalloids include boron (B), silicon (Si), and germanium (Ge). | high_school_chemistry | chemistry | |
math_45 | math_mc | If \[f(x) =
\begin{cases}
x^2-4 &\quad \text{if } x \ge -4, \\
x + 3 &\quad \text{otherwise},
\end{cases}
\]then for how many values of $x$ is $f(f(x)) = 5$? | B | math_Algebra | mathematics | ||
math_1275 | math_mc | Let $z$ be a complex number that satisfies
\[|z - 3i| + |z - 4| = 5.\]Find the minimum value of $|z|.$ | B | math_Intermediate Algebra | mathematics | ||
aquarat_30083 | deepmind/aqua_rat | Train A is stopped at a railway station and train B is passing the train A with a speed of 62kph. Train A and B are having lengths of 200m and 185m respectively. How long it will take the train B to pass train A? | A. 14.45 B. 19.82 C. 22.36 D. 28.38 E. 31.91 | C. 22.36 | Relative speed of train B with respect to train A = 62-0=62kph=17.22m/s
Distance needs to be covered by train B=200+185=385m
Time taken by the train B to pass train A = 385/17.22 = 22.36s
Answer: C | high_school_physics | physics |
allenai/sciq_6090 | allenai/sciq | The scale that is used to measure the loudness of sound measures their loudness in what?
A. waves
B. weight
C. centimeters
D. decibels | D. decibels | The most common cause of hearing loss is exposure to loud sounds. Loud sounds can damage hair cells inside the ears. Hair cells change sound waves to electrical signals that the brain can interpret as sounds. Louder sounds, which have greater intensity than softer sounds, can damage hair cells more quickly than softer ... | conceptual_physics | physics | |
math_1903 | math_mc | There is a committee composed of eight women and two men. When they meet, they sit in a row---the women in indistinguishable rocking chairs and the men on indistinguishable stools. How many distinct ways are there for me to arrange the eight chairs and two stools for a meeting? | B | math_Prealgebra | mathematics | ||
NLP4Education_775 | NLP4Education | Let $S_{0},S_{1},S_{2},\dots$ be an infinite sequence produced by a source $\mathcal{S}$. All $S_{n}$ take values in $\{0,1\}$, and $S_{n+1}$ depends only on $S_n$, that is, $p_{S_{n+1} | S_0, \dots, S_n}(s_{n+1} | s_0, \dots, s_n) = p_{S_{n+1} | S_n}(s_{n+1} | s_n)$. The probability $p_{S_{n+1}|S_{n}}$ is schemati... | B. False for all $n \geq 0$ | machine_learning | computer_science | ||
math_90 | math_mc | Find $\left(\frac{1+i}{\sqrt{2}}\right)^{46}$. | D | math_Algebra | mathematics | ||
math_2190 | math_mc | The matrix for reflecting over a certain line $\ell,$ which passes through the origin, is given by
\[\begin{pmatrix} \frac{7}{25} & -\frac{24}{25} \\ -\frac{24}{25} & -\frac{7}{25} \end{pmatrix}.\]Find the direction vector of line $\ell.$ Enter your answer in the form $\begin{pmatrix} a \\ b \end{pmatrix},$ where $a,$... | C | math_Precalculus | mathematics | ||
aquarat_339 | deepmind/aqua_rat | A 30 kg metal bar made of alloy of tin and silver lost 3 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar? | A. 1/4 B. 2/5 C. 1/2 D. 3/5 E. 2/3 | E. 2/3 | you can simply use this formula to avoid confusion:
w1/w2 = (A2 - Aavg)/(Avg - A1)
Here is how you will find the values of A1 an A2.
We have an overall loss (average loss). The average loss is 3 kg when 30 kg alloy is immersed.
This is a loss of (3/30)*100 = 10%.
This is Aavg
The loss of tin is 1.375 kg for every 10 kg... | high_school_physics | physics |
allenai/sciq_569 | allenai/sciq | The total number of protons and neutorns in an atom is called what?
A. atom number
B. formation number
C. volume number
D. mass number | D. mass number | The mass number is defined as the total number of protons and neutrons in an atom. | high_school_chemistry | chemistry | |
mmlu_aux_train_19270 | mmlu_aux_train | Alfred Carlton Gilbert(1884-1961) was a man of many ideas and talents. As a small boy, he kept trying new things. At age 12, he started a sports club for his friends and got their school to have a field day with active games and prizes. As he grew and practiced, Gilbert became skilled at pole vaulting , pull-ups, the l... | B. an athlete, inventor and businessman | high_school_biology | biology | ||
mmlu_aux_train_99004 | mmlu_aux_train | Holding a hot dog over a campfire makes it
A. carbon dioxide
B. vegan
C. a marshmallow
D. stiffer | D. stiffer | high_school_chemistry | chemistry | ||
allenai/sciq_287 | allenai/sciq | The creation and destruction of oceanic crust is the reason what moves?
A. animals
B. continents
C. planets
D. oceans | B. continents | In some places, the oceanic crust comes up to a continent. The moving crust pushes that continent away from the ridge axis as well. If the moving oceanic crust reaches a deep sea trench, the crust sinks into the mantle. The creation and destruction of oceanic crust is the reason that continents move. | college_earth_science | earth_science | |
NLP4Education_253 | NLP4Education | What is WRONG regarding the Transformer model?
A. It uses a self-attention mechanism to compute representations of the input and output.
B. Its computation cannot be parallelized compared to LSTMs and other sequential models.
C. Its complexity is quadratic to the input size.
D. It captures the semantic context of the i... | B. Its computation cannot be parallelized compared to LSTMs and other sequential models. | machine_learning | computer_science | ||
math_69 | math_mc | How many integers $n$ satisfy the inequality $-8\pi\le n\le10\pi$? | B | math_Algebra | mathematics | ||
math_1673 | math_mc | In a parlor game, the magician asks one of the participants to think of a three digit number $(abc)$ where $a$, $b$, and $c$ represent digits in base $10$ in the order indicated. The magician then asks this person to form the numbers $(acb)$, $(bca)$, $(bac)$, $(cab)$, and $(cba)$, to add these five numbers, and to rev... | B | math_Number Theory | mathematics | ||
allenai/sciq_3429 | allenai/sciq | What do you require to test a hypothesis?
A. conclusion
B. estimates
C. data
D. opinion | C. data | Testing a hypothesis requires data. Data can be gathered by observations or by experiments. | high_school_statistics | mathematics | |
pythonio_104 | pythonio-mc | Program:
def Total_Hamming_Distance(n):
i = 1
sum = 0
while (n // i > 0):
sum = sum + n // i
i = i * 2
return sum
Input:
Total_Hamming_Distance(5)
Output: | A | code | computer_science | ||
allenai/sciq_3960 | allenai/sciq | Which bonds are the strongest of the intermolecular forces?
A. hydrogen
B. carbon
C. calcium
D. complex | A. hydrogen | As a solid is heated, its particles vibrate more rapidly as the solid absorbs kinetic energy. Eventually, the organization of the particles within the solid structure begins to break down and the solid starts to melt. The melting point is the temperature at which a solid changes into a liquid. At its melting point, the... | college_chemistry | chemistry | |
math_1400 | math_mc | Find the largest real number $\lambda$ such that
\[a^2 + b^2 + c^2 + d^2 \ge ab + \lambda bc + cd\]for all nonnegative real numbers $a,$ $b,$ $c,$ $d.$ | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_76090 | mmlu_aux_train | When we talk about village teachers, we often think of difficult conditions, heavy teaching tasks and little income. But there is a village teacher who makes his teaching jobso interesting. His name is Liu Yuesheng who is now called "the most beautiful teacher", Liu comes from Liugang Village Middle School in Dagang, T... | C. small | high_school_computer_science | computer_science | ||
allenai/sciq_1179 | allenai/sciq | What kind of charges do protons give the nucleus?
A. neutral
B. dynamic
C. positive
D. negative | C. positive | Inside the atom, two types of subatomic particles have electric charge: electrons, which have an electric charge of -1, and protons, which have an opposite but equal electric charge of +1. The model of an atom in the Figure below shows both types of charged particles. Protons are found inside the nucleus at the center ... | college_physics | physics | |
aquarat_77118 | deepmind/aqua_rat | a^2*b^2+a^2+b^2=259
b^2*c^2+b^2+c^2=1299
c^2*a^2+c^2+a^2=499
then find a+b+c=? | A. 13 B. 14 C. 15 D. 16 E. 17 | C. 15 | a^2*b^2+a^2+b^2+1= (a^2+1)(b^2+1)
by using above one we can write
a^2*b^2+a^2+b^2+1=260..(1)
b^2*c^2+b^2+c^2+1=1300..(2)
c^2*a^2+c^2+a^2+1=500..(3)
by doing (1)/(2) we will get a^2+1/c^2+1 = 1/5..(4)
by doing (4)*(3) we will get (a^2+1)^2=10,
by solving a=3, b=5,c=7
so a+b+c=15
ANSWER:C | college_mathematics | mathematics |
mmlu_aux_train_57907 | mmlu_aux_train | Dress codes cause us arguments The first day of school is always a chaotic time. For many students in the US, this year was even more so. It was all due to one extra school policy. They are now required to wear clothes that meet a new standardized dress code . According to the handbooks of all high schools in Allentow... | B. divided | high_school_computer_science | computer_science | ||
aquarat_78353 | deepmind/aqua_rat | If a certain sample of data has a mean of 11.0 and the value 20.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample | A. 14.75 B. 3.55 C. 4.25 D. 4.0 E. 2.75 | B. 3.55 | 20.0 is more than 2.5 standard deviations from 11 --> 20 > 11 + 2.5*{SD} --> 2.5*{SD} < 9 --> {SD} < 3.6. Only option B offers the standard deviation less than 3.6.
Answer: B | high_school_statistics | mathematics |
allenai/sciq_6528 | allenai/sciq | What is the name of a microorganism that is considered important for living resources in all ecosystem?
A. bacteria
B. protozoa
C. archaea
D. pathogens | A. bacteria | Microorganisms such as bacteria are important living resources in all ecosystems. They recycle nutrients and other matter. | college_biology | biology | |
math_1881 | math_mc | For how many different negative values of $x$ is $\sqrt{x +150}$ a positive integer? | A | math_Prealgebra | mathematics | ||
mmlu_aux_train_6633 | mmlu_aux_train | Unknown to most Facebook users, the social network actually offers a lot of privacy controls and security features which can help you lock your account, so you can speak freely. If it's used properly, you'll never have to worry about whether you will have to "friend" your boss or your mom. You can friend anyone you wan... | B. Setting safety protection. | computer_security | computer_science | ||
math_644 | math_mc | My school's Physics Club has 22 members. It needs to select 3 officers: chairman, vice-chairman, and sergeant-at-arms. Each person can hold at most one office. Two of the members, Penelope and Quentin, will only be officers if the other one is also an officer. (In other words, either both Penelope and Quentin are o... | B | math_Counting & Probability | mathematics | ||
allenai/sciq_10736 | allenai/sciq | Exemplified by cesium, which ignites spontaneously in air, pure elements with a high metallic character tend to be very what?
A. reactive
B. radiactive
C. proactive
D. inactive | A. reactive | Pure elements with a high metallic character, meaning those that have chemical properties most similar to properties of metals, are generally very reactive. Metals tend to lose electrons in chemical reactions, as indicated by their low ionization energies. Within a compound, metal atoms have a relatively low attraction... | high_school_chemistry | chemistry | |
aquarat_45690 | deepmind/aqua_rat | Health insurance Plan V requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount? | A. $600 B. $1000 C. $3800 D. $5300 E. $6200 | B. $1000 | 0.5 * 600 = 300 where V = B. | college_mathematics | mathematics |
math_795 | math_mc | Regular hexagon $ABCDEF$ is the base of right pyramid $\allowbreak PABCDEF$. If $PAD$ is an equilateral triangle with side length 8, then what is the volume of the pyramid? | D | math_Geometry | mathematics | ||
math_1038 | math_mc | Medians $\overline{AD}$ and $\overline{BE}$ of $\triangle ABC$ are perpendicular. If $AD= 15$ and $BE = 20$, then what is the area of $\triangle ABC$? | D | math_Geometry | mathematics | ||
allenai/sciq_1270 | allenai/sciq | Metabolic pathways are a series of reactions catalyzed by multiple what?
A. hormones
B. enzymes
C. particles
D. vitamins | B. enzymes | Figure 4.11 Metabolic pathways are a series of reactions catalyzed by multiple enzymes. Feedback inhibition, where the end product of the pathway inhibits an upstream process, is an important regulatory mechanism in cells. | college_biology | biology | |
mmlu_aux_train_58869 | mmlu_aux_train | Dear Alfred, I want to tell you how important your help is to my life. Growing up, I had people telling me I was too slow, though, with an IQ of 150 at 17, I'm anything but stupid. The fact was that I was found to have ADIID . Anxious all the time, I was unable to keep focused for more than an hour at a time. However, ... | B. She had more difficulty keeping foucesed | high_school_computer_science | computer_science | ||
pythonio_418 | pythonio-mc | Program:
import cmath
def len_complex(a,b):
cn=complex(a,b)
length=abs(cn)
return length
Input:
len_complex(9,10)
Output: | A | code | computer_science | ||
aquarat_32659 | deepmind/aqua_rat | The graphs of the two equations y = a x 2 + b x + c and y = A x 2 + B x + C, such that a and A have different signs and that the quantities b 2 - 4 a c and B 2 - 4 A C are both negative, | A. intersect at two points B. intersect at one point C. do not intersect D. none of the above E. Cannot be determined | C. do not intersect | Solution
Since a and A have different signs the graphs of the two equations are parabolas opening in diffent directions: If one opens up the other opens down. Also since b 2 - 4 a c and B 2 - 4 A C are both negative, none of the parabola cuts the x axis. This means that each one of these parabolas is either above the x... | college_mathematics | mathematics |
NLP4Education_75 | NLP4Education | Consider the loss function $L: \R^d \to \R$, $L(\wv) = \frac{\beta}{2}\|\wv\|^2$, where $\beta > 0$ is a constant. We run gradient descent on $L$ with a stepsize $\gamma > 0$ starting from some $\wv_0 \neq 0$. Which of the statements below is true?
A. Gradient descent converges to the global minimum for any stepsize $\... | D. Gradient descent converges to the global minimum for any stepsize in the interval $\gamma \in \big( 0, \frac{2}{\beta}\big)$. | machine_learning | computer_science | ||
allenai/sciq_59 | allenai/sciq | Which radio frequency should you listen to if you want less noise?
A. am
B. wave
C. cb
D. fm | D. fm | FM radio is inherently less subject to noise from stray radio sources than AM radio. The reason is that amplitudes of waves add. So an AM receiver would interpret noise added onto the amplitude of its carrier wave as part of the information. An FM receiver can be made to reject amplitudes other than that of the basic c... | conceptual_physics | physics | |
allenai/sciq_4617 | allenai/sciq | What theory says stresses build on both sides of a fault?
A. seismic load theory
B. elastic rebound theory
C. Big Bang theory
D. Geiger theory | B. elastic rebound theory | Elastic rebound theory. Stresses build on both sides of a fault. The rocks deform plastically as seen in Time 2. When the stresses become too great, the rocks return to their original shape. To do this, the rocks move, as seen in Time 3. This movement releases energy, creating an earthquake. | college_earth_science | earth_science | |
NLP4Education_138 | NLP4Education | In the first pass over the database of the FP Growth algorithm
A. Frequent itemsets are extracted
B. A tree structure is constructed
C. The frequency of items is computed
D. Prefixes among itemsets are determined | C. The frequency of items is computed | college_computer_science | computer_science | ||
mmlu_aux_train_3412 | mmlu_aux_train | Robin's First Flight Robin was a little baby bird who was born only 6 weeks before. Her mother took care of her and her brothers and sister by feeding them bugs and worms. Robin had 2 brothers. She also had one sister. During this time, Robin grew and grew and got stronger and stronger. Her feathers got longer, t... | B. Robin | high_school_biology | biology | ||
mmlu_aux_train_47856 | mmlu_aux_train | The color red often means danger --- and by paying attention, accidents can be prevented. At railroad crossings, flashing red fights warn cars to stay back. A red light at a traffic crossing tells cars to stop, so they don't run into other cars. In the future, the color red also may help prevent danger at construction ... | B. warn people that the building is dangerous | college_chemistry | chemistry | ||
NLP4Education_432 | NLP4Education | According to the Kerckhoffs Principle:
A. The internal structure and algorithms of a cryptosystem should remain confidential.
B. The cryptosystem’s security must not depend on the secrecy of its internal design; only the key needs to be secret.
C. The cryptosystem should have zero security vulnerabilities.
D. If a cryp... | B. The cryptosystem’s security must not depend on the secrecy of its internal design; only the key needs to be secret. | computer_security | computer_science | ||
NLP4Education_480 | NLP4Education | The DES key schedule…
A. is based on a Feistel scheme.
B. takes as an input a key of 128 bits.
C. generates 16 subkeys.
D. is only used during the encryption phase, not during the decryption phase. | C. generates 16 subkeys. | computer_security | computer_science | ||
pythonio_263 | pythonio-mc | Program:
def average_tuple(nums):
result = [sum(x) / len(x) for x in zip(*nums)]
return result
Input:
average_tuple( ((100, 100, 100, 120), (300, 450, 560, 450), (810, 800, 390, 320), (10, 20, 30, 40)))
Output: | B | code | computer_science | ||
allenai/sciq_4332 | allenai/sciq | What do earth and the other planets in the solar system make around the sun?
A. elevated orbits
B. elliptical orbits
C. radial orbits
D. smooth orbits | B. elliptical orbits | Earth and the other planets in the solar system make elliptical orbits around the Sun. The ellipses in this image are highly exaggerated. | astronomy | physics | |
mmlu_aux_train_1455 | mmlu_aux_train | In clear weather, a bright light can be seen for a long distance. In conditions of heavy fog, the visibility is greatly reduced. Which of the following explains the reduced visibility?
A. Light is refracted by water vapor in the air.
B. Light is scattered by water droplets in the air.
C. Light is absorbed by water vap... | B. Light is scattered by water droplets in the air. | high_school_physics | physics | ||
NLP4Education_591 | NLP4Education | The collision resistance property of a hash function $H$ means that it is infeasible to…
A. find $Y$ such that $H(X)=Y$ for a given $X$.
B. find $X$ such that $H(X)=Y$ for a given $Y$.
C. find $X'$ such that $H(X') = H(X)$ and $X \ne X'$ for a given $X$.
D. find $X, X'$ such that $H(X) = H(X')$ and $X \ne X'$. | D. find $X, X'$ such that $H(X) = H(X')$ and $X \ne X'$. | computer_security | computer_science | ||
math_583 | math_mc | The Annual Interplanetary Mathematics Examination (AIME) is written by a committee of five Martians, five Venusians, and five Earthlings. At meetings, committee members sit at a round table with chairs numbered from $1$ to $15$ in clockwise order. Committee rules state that a Martian must occupy chair $1$ and an Earthl... | D | math_Counting & Probability | mathematics | ||
mmlu_aux_train_16716 | mmlu_aux_train | The end of the 2014 World Cup does not mean the end of the international competition in Brazil. A major football event which is known as RoboCup will be held in the coastal city Joao Pessoa. Teams of robots from around the world will take part in _ and play the game known as soccer in the United States. The robot teams... | C. They are not very skillful. | college_computer_science | computer_science | ||
mmlu_aux_train_82166 | mmlu_aux_train | At London College, the boys can go to the city in the afternoon. But they must return to the school before six. And Bob doesn't often obey the rule. One afternoon, Bob walked to the city and went to the cinema. When he got to the school, it was eight o'clock. He was a little worried. He ran quickly to the gate. It was ... | B. after the given time | high_school_computer_science | computer_science | ||
math_1588 | math_mc | An eight-digit integer is formed by repeating a positive four-digit integer. For example, 25,632,563 or 60,786,078 are integers of this form. What is the greatest common divisor of all eight-digit integers of this form? | A | math_Number Theory | mathematics | ||
allenai/sciq_5656 | allenai/sciq | Whose rules are too simple to explain the inheritance of human height?
A. Darwin
B. mendel
C. Pascal
D. Einstein | B. mendel | Unlike Mendel's peas, people do not all fall into two categories: short or tall. Most people, in fact, are somewhere in between. Obviously, Mendel's rules are too simple to explain the inheritance of human height. | high_school_biology | biology | |
mmlu_aux_train_57018 | mmlu_aux_train | Experts say the temperature in Eyjafjallajokull's hole appears to have fallen to 100C, meaning it is now producing steam, not magma . But officials warned that it was too early to say whether the eruption was over completely. Ash clouds from the volcano grounded thousands of flights last month. Steinunn Jakobsdottir, a... | B. The hole appears about 100 degrees C | astronomy | physics | ||
pythonio_489 | pythonio-mc | Program:
def power_base_sum(base, power):
return sum([int(i) for i in str(pow(base, power))])
Input:
power_base_sum(8,10)
Output: | A | code | computer_science | ||
mmlu_aux_train_67989 | mmlu_aux_train | "The world has never been a better place to live in" says science writer Matt Ridley, "and it will keep on getting better." Read on to see how Ridley makes his case. Right or wrong? You decide. Compared with 50 years ago, when I was just four years old, people now make nearly three times as much money, eat one third mo... | D. 0.5 second's work | college_mathematics | mathematics | ||
math_1178 | math_mc | There exists a constant $c,$ so that among all chords $\overline{AB}$ of the parabola $y = x^2$ passing through $C = (0,c),$
\[t = \frac{1}{AC^2} + \frac{1}{BC^2}\]is a fixed constant. Find the constant $t.$
[asy]
unitsize(1 cm);
real parab (real x) {
return(x^2);
}
pair A, B, C;
A = (1.7,parab(1.7));
B = (-1,pa... | C | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_55927 | mmlu_aux_train | The National Dark-Sky Week (NDSW) is a week during which people all over the United States turn off their lights to enjoy the beauty of the night sky without light pollution. This even was started by Jennifer Barlow of Midlothian, Virginia in 2003, and it is becoming more popular each year. It has been supported by the... | D. the National Dark-Sky Week | astronomy | physics | ||
pythonio_609 | pythonio-mc | Program:
from itertools import combinations
def find_combinations(test_list):
res = [(b1 + a1, b2 + a2) for (a1, a2), (b1, b2) in combinations(test_list, 2)]
return (res)
Input:
find_combinations([(2, 4), (6, 7), (5, 1), (6, 10)])
Output: | B | code | computer_science | ||
mmlu_aux_train_92651 | mmlu_aux_train | Which change in the state of water particles causes the particles to become arranged in a fixed position?
A. boiling
B. melting
C. freezing
D. evaporating | C. freezing | high_school_chemistry | chemistry | ||
aquarat_13868 | deepmind/aqua_rat | The number of years of service of the eight employees in a production department are 15, 10, 9, 17, 6, 3, 14 and 16. What is the range in the number of years of service of the eight employees? | A. 10 B. 11 C. 12 D. 13 E. 14 | E. 14 | = 17-3
= 14
Answer E | high_school_statistics | mathematics |
allenai/sciq_1196 | allenai/sciq | Melanocytes are located in which layer of the epidermis?
A. bottom
B. outer
C. follicle
D. crust | A. bottom | Melanocytes are located at the bottom of the epidermis. | anatomy | biology | |
pythonio_114 | 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((7, 256))
Output: | D | code | computer_science | ||
mmlu_aux_train_47701 | mmlu_aux_train | Modern smart phones are fast becoming the must-have item. But what's in store for the next generation of smart phones? Tired of carrying around that heavy wallet? Soon you won't need to! The next generation of smart phones will have NFC technology, which lets you pay for things with your smart phones. All you do is ent... | D. have a credit card | computer_security | computer_science |
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