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 |
|---|---|---|---|---|---|---|---|
math_1148 | math_mc | Find all the solutions to
\[\sqrt{x} + 2 \sqrt{x^2 + 7x} + \sqrt{x + 7} = 35 - 2x.\]Enter all the solutions, separated by commas. | B | math_Intermediate Algebra | mathematics | ||
math_1482 | math_mc | Let $S$ be the sum of all integers $b$ for which the polynomial $x^2+bx+2008b$ can be factored over the integers. Compute $|S|$.
| C | math_Intermediate Algebra | mathematics | ||
math_1637 | math_mc | Let $f(n)$ be the sum of the positive integer divisors of $n$. For how many values of $n$, where $1 \le n \le 25$, is $f(n)$ prime? | B | math_Number Theory | mathematics | ||
NLP4Education_723 | NLP4Education | Which of the following statement(s) is/are true about Safe Exception Handling (SEH)?
A. SafeSEH provides stronger protection than SeHOP.
B. SEH is a defense that protects C/C++ programs against control-flow hijack attacks through changing exception data structures.
C. Neither SafeSEH nor SeHOP checks the order and numb... | C. Neither SafeSEH nor SeHOP checks the order and number of exception handlers. | computer_security | computer_science | ||
aquarat_95951 | deepmind/aqua_rat | If a + b + c = 0 and a,b,c, are rational numbers then the roots of the equation
(b + c – a)x2 + (c + a – b) x + (a + b – c) = 0 are | A. rational B. irrational C. non real D. real E. none of these. | A. rational | Sol.(a) The sum of coefficients
= (b + c - a) + (c + a - b) + (a + b - c) = a + b + c = 0 (given)
∴ x = 1 is a root of the equation
∴ The other root is a+b−cb+c−aa+b−cb+c−a , which is rational as a,b, c, are rational
Hence, both the roots are rational.
ALTERNATIVE :
D = (c + a - b)2 - 4(b + c - a)(a + b - c)
= (-2b)2 -... | college_mathematics | mathematics |
allenai/sciq_7901 | allenai/sciq | Acid rain is corrosive rain caused by rainwater falling to the ground through which gas?
A. sulfide dioxide
B. essential dioxide
C. sulfur dioxide
D. carbon dioxide | C. sulfur dioxide | Sulfur enters the ocean in runoff from land, from atmospheric fallout, and from underwater geothermal vents. Some ecosystems rely on chemoautotrophs using sulfur as a biological energy source. This sulfur then supports marine ecosystems in the form of sulfates. Human activities have played a major role in altering the ... | high_school_chemistry | chemistry | |
math_1713 | math_mc | Sarah intended to multiply a two-digit number and a three-digit number, but she left out the multiplication sign and simply placed the two-digit number to the left of the three-digit number, thereby forming a five-digit number. This number is exactly nine times the product Sarah should have obtained. What is the sum of... | B | math_Number Theory | mathematics | ||
allenai/sciq_9781 | allenai/sciq | What is the apt term for the very slow movement of rock and soil down a hillside?
A. landslide
B. creep
C. glide
D. drop | B. creep | Creep is the very slow movement of rock and soil down a hillside. Creep occurs so slowly you can’t see it happening. You can only see the effects of creep after years of movement ( Figure below ). The slowly moving ground causes trees, fence posts, and other structures on the surface to tilt downhill. | college_geology | earth_science | |
mmlu_aux_train_37743 | mmlu_aux_train | The Red Panda isn't much bigger than an average size house cat. At first you may think it's a bear because of its name. They're actually a member of the raccoon family which you can tell if you look at their appearance. The Red Panda has a long bushy tail that is useful in two ways. It helps them stay balanced when th... | B. its appearance | high_school_biology | biology | ||
allenai/sciq_3113 | allenai/sciq | How do they classify tornadoes?
A. wind speed
B. wind density
C. amount of destruction
D. wind temperature | A. wind speed | The winds of a tornado can reach very high speeds. The faster the winds blow, the greater the damage they cause. Wind speed and damage are used to classify tornadoes ( Table below ). | college_earth_science | earth_science | |
mmlu_aux_train_26411 | mmlu_aux_train | Seated in a convertible with the top down at 60 miles an hour,Mary looked at the flies that sat on top of Mark's hair.How could they stay there?She wondered. Mary had not seen Mark in years,until the other day when he came into the cafe where she worked.His appearance was different from when he was in high school.Now,h... | B. A waitress. | conceptual_physics | physics | ||
math_265 | math_mc | A portion of the graph of $f(x)=ax^3+bx^2+cx+d$ is shown below.
What is the value of $8a-4b+2c-d$?
[asy]
import graph; size(7cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-3.25,xmax=4.25,ymin=-9.25,ymax=4.25;
pen cqcqcq=rgb(0.75,0.75,0.75);
/*grid*/ pen gs=linewidt... | B | math_Algebra | mathematics | ||
aquarat_63287 | deepmind/aqua_rat | We have 20 thousand dollars that must be invested among 4 possible
mutual funds. Each investment must be in units of 1 thousand dollars,
and there are minimal investments that need to be made if one is to
invest in these funds. The minimal investments are 2, 2, 3 and 4 thou-
sand dollars. How many dierent investment st... | A. 220 B. 240 C. 260 D. 280 E. 300 | A. 220 | Since minimal investments must be made for 2, 2, 3, and 4 thousand dollars into
the four mutual funds, this leaves 20-2-2-3-4 = 9 thousand dollars to invest as one
pleases. Thus, we want to determine the number of ways of dividing up 9 thousand dollars
among 4 different mutual funds. Consider 12 different boxes aligned... | college_mathematics | mathematics |
math_1493 | math_mc | An ellipse with equation
\[\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\]contains the circles $(x - 1)^2 + y^2 = 1$ and $(x + 1)^2 +y^2 = 1.$ Then the smallest possible area of the ellipse can be expressed in the form $k \pi.$ Find $k.$ | D | math_Intermediate Algebra | mathematics | ||
NLP4Education_383 | NLP4Education | Tick the \emph{false} assertion concerning WPA-TKIP.
A. WPA-TKIP uses a fixed RC4 key.
B. WPA-TKIP avoids replay attacks using a counter.
C. WPA-TKIP provides much more confidentiality than WEP.
D. WPA-TKIP provides integrity protection for messages. | A. WPA-TKIP uses a fixed RC4 key. | computer_security | computer_science | ||
allenai/sciq_5862 | allenai/sciq | How do yeasts reproduce?
A. bisexual
B. asexually
C. homosexual
D. preferentially | B. asexually | Yeasts are an exception. They reproduce asexually by budding instead of by producing spores. An offspring cell forms on a parent cell. After it grows and develops, it buds off to form a new cell. The offspring cell is genetically identical to the parent cell. You can see yeast cells budding in Figure below . | college_biology | biology | |
math_127 | math_mc | For what value of $k$ does the equation $x^2+10x+y^2+6y-k=0$ represent a circle of radius 6? | B | math_Algebra | mathematics | ||
allenai/sciq_1507 | allenai/sciq | What is the arch called that forms when plasma of the sun flows along the loop that connects sunspots?
A. solar prominence
B. Energy prominence.
C. large prominence
D. vertical prominence | A. solar prominence | Another amazing feature on the Sun is solar prominences. Plasma flows along the loop that connects sunspots. This plasma forms a glowing arch. The arch is a solar prominence. Solar prominences can reach thousands of kilometers into the Sun’s atmosphere. Prominences can last for a day to several months. Prominences can ... | astronomy | physics | |
allenai/sciq_9705 | allenai/sciq | Which gases trap heat in the atmosphere?
A. methane and helium
B. greenhouse
C. ozone
D. fluorine and nitrogen | B. greenhouse | Greenhouse gases trap heat in the atmosphere. These gases include carbon dioxide, methane, water vapor, and ozone. | high_school_chemistry | chemistry | |
math_459 | math_mc | In a tournament each player played exactly one game against each of the other players. In each game the winner was awarded $1$ point, the loser got $0$ points, and each of the two players earned $\frac{1}{2}$ point if the game was a tie. After the completion of the tournament, it was found that exactly half of the poin... | D | math_Counting & Probability | mathematics | ||
allenai/sciq_9267 | allenai/sciq | How many valence electrons do neutral phosphorus atoms have?
A. nine
B. three
C. four
D. five | D. five | The highest-numbered shell is the third shell, which has 2 electrons in the 3s subshell and 3 electrons in the 3p subshell. That gives a total of 5 electrons, so neutral phosphorus atoms have 5 valence electrons. The 10 remaining electrons, from the first and second shells, are core electrons. | high_school_chemistry | chemistry | |
mmlu_aux_train_94486 | mmlu_aux_train | Which natural formation is the best example of the result of both constructive and destructive forces such as weathering, erosion, and deposition of sediment?
A. The Mid-Atlantic Ridge
B. The Grand Canyon
C. The Mojave Desert
D. The Himalayan Mountains | B. The Grand Canyon | astronomy | physics | ||
aquarat_88726 | deepmind/aqua_rat | A certain tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 40% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium c... | A. 43% B. 50% C. 52% D. 54% E. 56% | C. 52% | The tank of 24 gallons is filled to a quarter so it had 6 gallons of water with 40% sodium chloride. In 2 hrs, .5*2 = 1 gallon of pure water (0% sodium chloride) will evaporate.
In essence, the initial mix of 6 gallons (40% sodium chloride) was a mix of 5 gallons of x% sodium chloride and 1 gallon of pure water.
Workin... | college_mathematics | mathematics |
mmlu_aux_train_46141 | mmlu_aux_train | Many people like the feeling of the gentle wind in spring. Many like to see the falling leaves dancing in the wind in autumn. But sometimes, when the wind becomes a storm, it can be very destructive . A series of such storms struck the US last month and caused very serious damage and human pain. Every year, major stor... | B. hit parts of the world in summer and autumn | conceptual_physics | physics | ||
aquarat_62171 | deepmind/aqua_rat | Which of the following functions f(x) satisfies the condition f(y-z) = f(y)-f(z) for all possible values of y and z? | A. f(x) = x2 B. f(x) = x + (x−1)^2 C. f(x) = x-1 D. f(x) = 5/x E. f(x) = x/5 | E. f(x) = x/5 | E. f(x) = x/5
Now for LHS x=y-z
so F(x) = F(y-z)
put x as Y-Z in X/5
f(y-z)=y-z/5= y/5-z/5---------1
similarly RHS
F(Y) = y/5---
F(Z)=Z/5 ---
F(Y)-F(Z)=Y/5 - Z/5------------2
we can see LHS =RHS ..so E remains.
ANSWER:E | college_mathematics | mathematics |
pythonio_630 | pythonio-mc | Program:
def last(arr,x,n):
low = 0
high = n - 1
res = -1
while (low <= high):
mid = (low + high) // 2
if arr[mid] > x:
high = mid - 1
elif arr[mid] < x:
low = mid + 1
else:
res = mid
low = mid + 1
return... | C | code | computer_science | ||
aquarat_661 | deepmind/aqua_rat | In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.7 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on? | A. 1-0.06^10 B. 1-0.3^10 C. (1-0.3)^10 D. 0.06 E. 1-10*0.06 | B. 1-0.3^10 | ans B.
Prob that light will not turned off = 0.3^10. Hence prob (turn off) = 1 - prob (not turn off). | high_school_statistics | mathematics |
math_876 | math_mc | Square $ABCD$ is inscribed in a circle. Square $EFGH$ has vertices $E$ and $F$ on $\overline{CD}$ and vertices $G$ and $H$ on the circle. If the area of square $ABCD$ is $1$, then the area of square $EFGH$ can be expressed as $\frac {m}{n}$ where $m$ and $n$ are relatively prime positive integers and $m < n$. Find $10n... | B | math_Geometry | mathematics | ||
math_1783 | math_mc | Three clever monkeys divide a pile of bananas. The first monkey takes some bananas from the pile, keeps three-fourths of them, and divides the rest equally between the other two. The second monkey takes some bananas from the pile, keeps one-fourth of them, and divides the rest equally between the other two. The third m... | D | math_Number Theory | mathematics | ||
math_1789 | math_mc | What is the greatest prime factor of $12! + 14!$? (Reminder: If $n$ is a positive integer, then $n!$ stands for the product $1\cdot 2\cdot 3\cdot \cdots \cdot (n-1)\cdot n$.) | B | math_Number Theory | mathematics | ||
allenai/sciq_979 | allenai/sciq | All of the monatomic ions have oxidation numbers equal to their?
A. charges
B. atomic number
C. shape
D. atomic weight | A. charges | There are 6 elements in this reaction. All of the monatomic ions have oxidation numbers equal to their charges. Additionally, we can assign an oxidation state of -2 to each oxygen atom and +1 to each hydrogen atom. Now, we just need to assign the oxidation states of manganese in MnO 4 - , nitrogen in the nitrite and ni... | high_school_chemistry | chemistry | |
math_1191 | math_mc | Let $f(x) = x^2-2x$. How many distinct real numbers $c$ satisfy $f(f(f(f(c)))) = 3$? | D | math_Intermediate Algebra | mathematics | ||
aquarat_11031 | deepmind/aqua_rat | z is a positive integer and multiple of 2; w = 4^z, what is the remainder when w is divided by 10? | A. 10 B. 6 C. 4 D. 0 E. It Cannot Be Determined | B. 6 | It is essential to recognize that the remainder when an integer is divided by 10 is simply the units digit of that integer. To help see this, consider the following examples:
4/10 is 0 with a remainder of 4
14/10 is 1 with a remainder of 4
5/10 is 0 with a remainder of 5
105/10 is 10 with a remainder of 5
It is also es... | college_mathematics | mathematics |
allenai/sciq_4912 | allenai/sciq | What is the basic chemical building block of matter; it is the simplest chemical substance?
A. hydrogen
B. element
C. helium
D. atoms | B. element | An element is the basic chemical building block of matter; it is the simplest chemical substance. | high_school_chemistry | chemistry | |
allenai/sciq_7101 | allenai/sciq | Zinc is what kind of metal.?
A. active move metal
B. active flow metal
C. active transition metal
D. passive stagnant metal | C. active transition metal | Figure 18.7 Zinc is an active transition metal. It dissolves in hydrochloric acid, forming a solution of colorless Zn 2+ ions, Cl– ions, and hydrogen gas. | high_school_chemistry | chemistry | |
allenai/sciq_8992 | allenai/sciq | The base in an antacid reacts to do what to excess stomach acid?
A. repel it
B. neutralize it
C. expel it
D. oxidize it | B. neutralize it | Perhaps you have eaten too much pizza and felt very uncomfortable hours later. This feeling is due to excess stomach acid being produced. The discomfort can be dealt with by taking an antacid. The base in the antacid will react with the HCl in the stomach and neutralize it, taking care of that unpleasant feeling. | high_school_chemistry | chemistry | |
aquarat_34459 | deepmind/aqua_rat | How much time will a train of length 250 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction? | A. 55 B. 99 C. 88 D. 76 E. 12 | A. 55 | The distance to be covered = Sum of their lengths = 250 + 300 = 550 m.
Relative speed = 72 -36 = 36 kmph = 36 * 5/18 = 10 mps.
Time required = d/s = 550/10 = 55 sec.
Answer:A | high_school_physics | physics |
mmlu_aux_train_93302 | mmlu_aux_train | Which of the following helped lead to the invention of personal computers?
A. Internet
B. keyboard
C. wireless transmitter
D. integrated circuit | D. integrated circuit | high_school_computer_science | computer_science | ||
NLP4Education_637 | NLP4Education | Consider two distributions $P_0,P_1$ with the same supports and a distinguisher $\mathcal{A}$ that makes $q$ queries. Tick the \textit{incorrect} assertion.
A. When $q=1$, $\mathsf{Adv}(\mathcal{A})\leq d(P_0,P_1)$ where $d$ is the statistical distance.
B. When $q>1$, $\mathsf{Adv}(\mathcal{A})\leq \frac{d(P_0,P_1)}{q}... | B. When $q>1$, $\mathsf{Adv}(\mathcal{A})\leq \frac{d(P_0,P_1)}{q}$ where $d$ is the statistical distance. | computer_security | computer_science | ||
mmlu_aux_train_12980 | mmlu_aux_train | Technology helps people do everything from planning to meet for a movie to keeping in touch with a friend who lives in a different country. When planning to get together with friends, Julian said , " If I want to go and see a movie with a few friends, I usually send them text messages. By telephone, you have to cal... | C. By sending them text messages. | high_school_computer_science | computer_science | ||
NLP4Education_46 | NLP4Education | What is a good distance metric to be used when you want to compute the similarity between documents independent of their length?
A. Cosine similarity
B. Euclidean distance
C. Manhattan distance
D. Chi-squared distance | A. Cosine similarity | machine_learning | computer_science | ||
mmlu_aux_train_29472 | mmlu_aux_train | Recent developments in astronomy have made it possible to detect planets in our own Milky Way and in other galaxies. This is a major achievement because,in terms,planets are very small and do not give out light. Finding planets is proving hard enough, but finding life on them will prove _ more difficult. The first q... | D. Because planets are small and dark,and stars are large and radiant | astronomy | physics | ||
pythonio_873 | pythonio-mc | Program:
def binomial_coeffi(n, k):
if (k == 0 or k == n):
return 1
return (binomial_coeffi(n - 1, k - 1)
+ binomial_coeffi(n - 1, k))
def rencontres_number(n, m):
if (n == 0 and m == 0):
return 1
if (n == 1 and m == 0):
return 0
if (m == 0):
return ((n - 1) * (rencontres_number(n - 1,... | B | code | computer_science | ||
math_1032 | math_mc | Quadrilateral $ABCD$ has right angles at $B$ and $D$, and $AC=3$. If $ABCD$ has two sides with distinct integer lengths, then what is the area of $ABCD$? Express your answer in simplest radical form. | A | math_Geometry | mathematics | ||
math_1056 | math_mc | In right triangle $ABC$, $AB=9$, $BC=13$, and $\angle B = 90^\circ$. Points $D$ and $E$ are midpoints of $\overline{AB}$ and $\overline{AC}$ respectively; $\overline{CD}$ and $\overline{BE}$ intersect at point $X$. Compute the ratio of the area of quadrilateral $AEXD$ to the area of triangle $BXC$. | A | math_Geometry | mathematics | ||
NLP4Education_186 | NLP4Education | Which loss function(s) should you use? (One or multiple answers)
A. mean square error (MSE) loss
B. cross entropy loss
C. L1 loss
D. mean absolute error (MAE) loss | B. cross entropy loss | machine_learning | computer_science | ||
NLP4Education_192 | NLP4Education | You are working on a dataset with lots of outliers, and want to perform a regression task. Everything else being equal, and assuming that you do not do any pre-processing, which loss function will be less affected by these outliers?
A. $\mathcal{L}(y, \hat{y})= (y - \hat{y})^2$ (Mean Squared Error, MSE)
B. $\mathcal{L}... | B. $\mathcal{L}(y, \hat{y})= |y - \hat{y}|$ (Mean Absolute Error, MAE) | machine_learning | computer_science | ||
aquarat_45609 | deepmind/aqua_rat | If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
5 * 6 * 9 =? | A. 65 B. 59 C. 72 D. 80 E. 77 | B. 59 | (9 * 6) + 5 = 59
B | formal_logic | mathematics |
aquarat_94710 | deepmind/aqua_rat | The number of real roots of the equation A2/x + B2/(x-1) = 1, where A and B are real numbers not equal to zero simultaneously is | A. None B. 1 C. 2 D. 1 or 2 E. 3 | A. None | Explanation :
=> A2/x + B2/(x-1) = 1,
=> A2 (x-1) + B2x = x2 - x.
This is a quadratic equation.
Hence, number of roots = 2 or 1 (1 in the case when both roots are equal )
Answer : A | college_mathematics | mathematics |
pythonio_337 | pythonio-mc | Program:
import re
def split_upperstring(text):
return (re.findall('[A-Z][^A-Z]*', text))
Input:
split_upperstring("PythonProgram")
Output: | D | code | computer_science | ||
math_151 | math_mc | How many four-digit numbers $N$ have the property that the three-digit number obtained by removing the leftmost digit is one ninth of $N$? | D | math_Algebra | mathematics | ||
allenai/sciq_9493 | allenai/sciq | If an electric current passes through water, water molecules break down into molecules of what?
A. carbon and oxygen
B. hydrogen and carbon
C. oxygen and methane
D. hydrogen and oxygen | D. hydrogen and oxygen | The arrow in Figure above shows that the reaction goes from left to right, from hydrogen and oxygen to water. The reaction can also go in the reverse direction. If an electric current passes through water, water molecules break down into molecules of hydrogen and oxygen. This reaction would be represented by a right-to... | high_school_chemistry | chemistry | |
math_1625 | math_mc | Let $P$ be the product of the first $100$ positive odd integers. Find the largest integer $k$ such that $P$ is divisible by $3^k .$
| C | math_Number Theory | mathematics | ||
mmlu_aux_train_32675 | mmlu_aux_train | When Dr Jane Goodall was a kid growing up in England, she dreamed of one day living among wild animals. That opportunity came when Goodall was 26 years old. Goodall moved to the African country and spent 25 years there. What she learned about chimpanzees fascinated people all over the world. After studying animals... | A. spent 25 years in Africa studying chimpanzees | high_school_biology | biology | ||
mmlu_aux_train_13362 | mmlu_aux_train | We like people who look like us, because they tend to have personalities similar to our own. And, a new study suggests, the longer we are with someone, the more similarities in appearance grow. Researchers set out to study why couples often tend to look like one another. They asked 11 male and 11 female participants to... | C. Because their personalities are similar to ours. | college_biology | biology | ||
aquarat_42025 | deepmind/aqua_rat | f(x) = x! g(x)=x^10 h(x)= 10^x for large values of x which is greater? | A. f(x) B. g(x) C. h(x) D. both E. none | C. h(x) | let x=100
then g(x)=100^10=10^20
h(x)=10^100
so h(x) is greater
ANSWER:C | college_mathematics | mathematics |
pythonio_904 | pythonio-mc | Program:
def tuple_to_set(t):
s = set(t)
return (s)
Input:
tuple_to_set(('x', 'y', 'z') )
Output: | B | code | computer_science | ||
allenai/sciq_1617 | allenai/sciq | What are the outer-shell electrons of an atom called?
A. valence electrons
B. outer electrons
C. helium electrons
D. organism electrons | A. valence electrons | Valence electrons are the outer-shell electrons of an atom. | high_school_chemistry | chemistry | |
mmlu_aux_train_43849 | mmlu_aux_train | This course is for those who want to learn to type , as well as those who want to improve their typing . The course is not common . You are tested in the first class and begin practicing at one of the eight different skill levels . This allows you to learn at your own speed. Each program lasts 20 hours . Bring your own... | B. on Wednesday and Saturday | high_school_computer_science | computer_science | ||
allenai/sciq_8725 | allenai/sciq | What process allows particles too large to move along the stream bed?
A. impaction
B. saltation
C. diffusion
D. channelization | B. saltation | Particles that are too large to be suspended move along the stream bed by saltation. | college_earth_science | earth_science | |
math_2122 | math_mc | In the diagram below, triangle $ABC$ has been reflected over its median $\overline{AM}$ to produce triangle $AB'C'$. If $AE = 6$, $EC =12$, and $BD = 10$, then find $AB$.
[asy]
size(250);
pair A,B,C,D,M,BB,CC,EE;
B = (0,0);
D = (10,0);
M = (15,0);
C=2*M;
A = D + (scale(1.2)*rotate(aCos((225-144-25)/120))*(M-D));
CC =... | D | math_Precalculus | mathematics | ||
mmlu_aux_train_73209 | mmlu_aux_train | A bumpkin went to a big city for the first time. He went into an office building and saw a short and fat woman stepped into a small room. After her, the door closed and the light on the top flashed. After a while the door opened slowly, a young beautiful modern girl walked out of the small room. The bumpkin opened hi... | C. the short fat woman changed to a young girl in the room | formal_logic | mathematics | ||
NLP4Education_525 | NLP4Education | We represent $GF(2^8)$ as $\mathbb{Z}_2[X]/P(X)$ where $P(X) = X^8 + X^4+X^3+X+1$. Then, $(X^7+X^6)\times (X + 1)=$
A. $X^6+X^5+X^4+X^3+X$
B. $X^6 + X^4 + X^3 + X + 1$
C. $X^6$
D. $X^7+X^6+X^4+X^3+X+1$ | C. $X^6$ | abstract_algebra | mathematics | ||
mmlu_aux_train_34573 | mmlu_aux_train | How can you hear your friends' voices when they are far away and you can't make a long--distance call? Besides the web camera system with your computer, we have a new high-tech way to solve the problem and ease your pain of missing them. The Japanese company Combiwith created a system-- . It makes people in pictures sp... | A. The picture can play what's been recorded as if the person in the picture "talks". | high_school_computer_science | computer_science | ||
math_1117 | math_mc | Let $S$ denote the value of the sum\[\sum_{n=0}^{668} (-1)^{n} {2004 \choose 3n}\]Determine the remainder obtained when $S$ is divided by $1000$.
| B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_93429 | mmlu_aux_train | The sound, light, and heat that a firecracker produces are originally stored as which type of energy?
A. nuclear energy
B. chemical energy
C. electrical energy
D. mechanical energy | B. chemical energy | high_school_physics | physics | ||
mmlu_aux_train_97482 | mmlu_aux_train | A car hitting a rolling boulder can cause the car to
A. increase in value
B. wet itself
C. play the radio
D. decrease momentum | D. decrease momentum | conceptual_physics | physics | ||
aquarat_39886 | deepmind/aqua_rat | For which of the following does g(a)−g(b)=g(a−b) for all values of a and b? | A. g(x)=x^2 B. g(x)=x/2 C. g(x)=x+5 D. g(x)=2x−1 E. g(x)=|x| | B. g(x)=x/2 | To solve this easiest way is just put the value and see that if it equals or not.
with option 1. g(a) = a^2 and g(b) = b^2
so L.H.S = a^2 - b^2
and R.H.S = (a-b)^2 ==> a^2 + b^2 -2ab.
so L.H.S not equal to R.H.S
with option 2. g(a) = a/2 and g(b) = b/2
L.H.S = a/2 - b/2 ==> 1/2(a-b)
R.H.S = (a-b)/2
so L.H.S = R.H.S whi... | college_mathematics | mathematics |
aquarat_72076 | deepmind/aqua_rat | For positive integers n, the integer part of the nth term of sequence C equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, C_1 = 1.2345678…, while C_2 = 2.4681012… The sum of the first seven terms of sequence... | A. 28 and 29 B. 29 and 30 C. 30 and 31 D. 31 and 32 E. 32 and 33 | C. 30 and 31 | First, construct the first seven terms, though only out to a few decimal places, following the given pattern.
C_1 = 1.23…
C_2 = 2.46…
C_3 = 3.69…
C_4 = 4.812…
C_5 = 5.10…
C_6 = 6.12…
C_7 = 7.14…
Now, to add up the first seven terms, you should be strategic about how many decimal places to keep. You can drop the hundred... | college_mathematics | mathematics |
math_452 | math_mc | In the local frisbee league, teams have 7 members and each of the 4 teams takes turns hosting tournaments. At each tournament, each team selects two members of that team to be on the tournament committee, except the host team, which selects three members. How many possible 9 member tournament committees are there? | A | math_Counting & Probability | mathematics | ||
pythonio_671 | pythonio-mc | Program:
def lower_ctr(str):
lower_ctr= 0
for i in range(len(str)):
if str[i] >= 'a' and str[i] <= 'z': lower_ctr += 1
return lower_ctr
Input:
lower_ctr('Python')
Output: | A | code | computer_science | ||
allenai/sciq_149 | allenai/sciq | What science includes many fields of science related to our home planet?
A. biology
B. earth science
C. zoology
D. meteorology | B. earth science | Earth science includes many fields of science related to our home planet. | high_school_biology | biology | |
pythonio_140 | pythonio-mc | Program:
import re
def extract_values(text):
return (re.findall(r'"(.*?)"', text))
Input:
extract_values('"python","program","language"')
Output: | A | code | computer_science | ||
allenai/sciq_4116 | allenai/sciq | Burning of methane is a type of what, which involves the breaking and forming of bonds?
A. chemical reaction
B. toxic reaction
C. liquid reaction
D. physical reaction | A. chemical reaction | An example of a chemical reaction is the burning of methane. In this chemical reaction, the reactants are methane (CH 4 ) and oxygen (O 2 ), and the products are carbon dioxide (CO 2 ) and water (H 2 O). A chemical reaction involves the breaking and forming of chemical bonds. When methane burns, bonds break in the meth... | high_school_chemistry | chemistry | |
math_701 | math_mc | Three points are chosen uniformly at random on a circle. What is the probability that no two of these points form an obtuse triangle with the circle's center? | D | math_Counting & Probability | mathematics | ||
math_1632 | math_mc | The repeating decimals $0.abab\overline{ab}$ and $0.abcabc\overline{abc}$ satisfy
\[0.abab\overline{ab}+0.abcabc\overline{abc}=\frac{33}{37},\]
where $a$, $b$, and $c$ are (not necessarily distinct) digits. Find the three digit number $abc$.
| D | math_Number Theory | mathematics | ||
mmlu_aux_train_1676 | mmlu_aux_train | Which of the following is NOT a description of compounds?
A. They can exist in the form of atoms or molecules.
B. They consist of atoms of two or more elements bonded together.
C. They have properties that are different from their component elements.
D. They can be broken down into elements by chemical means but not p... | A. They can exist in the form of atoms or molecules. | high_school_chemistry | chemistry | ||
mmlu_aux_train_99643 | mmlu_aux_train | An example of an electrical conductor could be
A. wood
B. ice
C. coin
D. rubber | C. coin | electrical_engineering | engineering | ||
math_558 | math_mc | How many 3-digit numbers have the property that the units digit is at least twice the tens digit? | B | math_Counting & Probability | mathematics | ||
allenai/sciq_451 | allenai/sciq | Molecules in the gas phase can collide with the liquid surface and reenter the liquid via what?
A. condensation
B. liquidation
C. combustion
D. fermentation | A. condensation | pressure above the liquid. Molecules in the gas phase can collide with the liquid surface and reenter the liquid via condensation. Eventually, a steady state is reached in which the number of molecules evaporating and condensing per unit time is the same, and the system is in a state of dynamic equilibrium. Under these... | high_school_chemistry | chemistry | |
aquarat_1546 | deepmind/aqua_rat | In a consumer survey, 75% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three ... | A. 5 B. 10 C. 15 D. 20 E. 25 | D. 20 | pick 100 and x= all set with exactly two items
75=30+50+20 -(X)-10
X=15
Answer D | high_school_statistics | mathematics |
allenai/sciq_5041 | allenai/sciq | What is the particular sequence of amino acids in a longer chain called?
A. atomic sequence
B. carbon sequence
C. molecular sequence
D. amino acid sequence | D. amino acid sequence | The dipeptide has a free amino group on one end of the molecule and a free carboxyl group on the other end. Each is capable of extending the chain through the formation of another peptide bond. The particular sequence of amino acids in a longer chain is called an amino acid sequence. By convention, the amino acid seque... | college_biology | biology | |
allenai/sciq_10720 | allenai/sciq | What cannot exist between energy levels?
A. crystals
B. protons
C. cells
D. electrons | D. electrons | college_physics | physics | ||
math_340 | math_mc | What is the domain of the function $f(x)=\frac{x+6}{\sqrt{x^2-3x-4}}$? | A | math_Algebra | mathematics | ||
allenai/sciq_823 | allenai/sciq | What is the study of matter and the changes that material substances undergo.
A. biology
B. geology
C. physiology
D. chemistry | D. chemistry | Chemistry is the study of matter and the changes that material substances undergo. Of all the scientific disciplines, it is perhaps the most extensively connected to other fields of study. Geologists who want to locate new mineral or oil deposits use chemical techniques to analyze and identify rock samples. Oceanograph... | high_school_chemistry | chemistry | |
pythonio_288 | pythonio-mc | Program:
def is_upper(string):
return (string.upper())
Input:
is_upper("final")
Output: | A | code | computer_science | ||
pythonio_791 | pythonio-mc | Program:
def parallelogram_perimeter(b,h):
perimeter=2*(b*h)
return perimeter
Input:
parallelogram_perimeter(10,20)
Output: | A | code | computer_science | ||
allenai/sciq_4353 | allenai/sciq | At equilibrium reactants and what are equally abundant?
A. minerals
B. results
C. proactives
D. products | D. products | Reactants and products are equally abundant at equilibrium. | college_chemistry | chemistry | |
aquarat_9990 | deepmind/aqua_rat | The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 60 terms of this sequence? | A. (1+1/2)/ (1/51 +1/ 52) B. (1+1/2) – (1/61 +1/ 62) C. (1+1/2)* (1/51 +1/ 52) D. (1+1/2) + (1/51 +1/ 52) E. (1/51 +1/ 52) | B. (1+1/2) – (1/61 +1/ 62) | The answer would most certainly be[B]. But the question needs a slight modification.n>=1, since the answer does consider a1 under the sum.
The sequence is :
a1 = 1-1/3
a2 = 1/2 - 1/4
a3 = 1/3 - 1/5....
We can observe that the third term in the sequence cancels the negative term in the first. A similar approach can be s... | college_mathematics | mathematics |
NLP4Education_382 | NLP4Education | Which scheme is the most secure?
A. DES
B. Double DES
C. Two-key triple DES
D. Three-key triple DES | D. Three-key triple DES | computer_security | computer_science | ||
mmlu_aux_train_62848 | mmlu_aux_train | Animals like the lion are known as carnivorous (meat-eating) animals. They feed on smaller animals. But many other animals eat grass or plants. They are called herbivorous (plant-eating) animals. You may be surprised to learn that there are carnivorous plants as well as carnivorous animals. Plants that grow in poor soi... | C. carnivorous animals and herbivorous animals | high_school_biology | biology | ||
math_6 | math_mc | The quadratic equation $x^2+mx+n=0$ has roots that are twice those of $x^2+px+m=0,$ and none of $m,$ $n,$ and $p$ is zero. What is the value of $n/p?$ | D | math_Algebra | mathematics | ||
math_1015 | math_mc | The area of an equilateral triangle is numerically equal to the length of one of its sides. What is the perimeter of the triangle, in units? Express your answer in simplest radical form. | D | math_Geometry | mathematics | ||
allenai/sciq_3919 | allenai/sciq | What are waves that pass a fixed point in a given amount of time called?
A. wave frequency
B. radio frequency
C. combination frequency
D. tendency frequency | A. wave frequency | The number of waves that pass a fixed point in a given amount of time is wave frequency . Wave frequency can be measured by counting the number of crests (high points) of waves that pass the fixed point in 1 second or some other time period. The higher the number is, the greater the frequency of the waves. The SI unit ... | conceptual_physics | physics | |
pythonio_825 | pythonio-mc | Program:
def factorial(start,end):
res = 1
for i in range(start,end + 1):
res *= i
return res
def sum_of_square(n):
return int(factorial(n + 1, 2 * n) /factorial(1, n))
Input:
sum_of_square(4)
Output: | A | code | computer_science | ||
aquarat_53412 | deepmind/aqua_rat | Statement : Until our country achieves economic equality, political freedom and democracy would be meaningless.
Conclusions :
I. Political freedom and democracy go hand in hand.
II. Economic equality leads to real political freedom and democracy. | A. I only B. II only C. I and II only D. I and III only E. II and III only | B. II only | Explanation:
Nothing about first conclusion is stated in statement.
Only II conclusion follows.
(B) II only | formal_logic | mathematics |
mmlu_aux_train_93277 | mmlu_aux_train | What determines how long the Moon takes to complete one cycle of phases?
A. the period of rotation of the Moon around its axis
B. the period of revolution of the Moon around Earth
C. the period of rotation of Earth around its axis
D. the period of revolution of Earth around the Sun | B. the period of revolution of the Moon around Earth | astronomy | physics | ||
mmlu_aux_train_74495 | mmlu_aux_train | Can you imagine a classroom without one thing that has long been considered a necessary part? No notebooks, no textbooks, no test papers. Nor are there any pencils or pens, which always seem to run out of ink at the _ moment. A "Paperless classroom" is what more and more schools are trying to realize. Students don't do... | B. computers | high_school_computer_science | computer_science | ||
pythonio_907 | pythonio-mc | Program:
from collections import Counter
def most_common_elem(s,a):
most_common_elem=Counter(s).most_common(a)
return most_common_elem
Input:
most_common_elem('lkseropewdssafsdfafkpwe',7)
Output: | B | code | computer_science | ||
aquarat_26219 | deepmind/aqua_rat | For which of the following functions is f(e+b)=f(e)+f(b) for all positive numbers e 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(e+b)=f(e)+f(b) Its E | college_mathematics | mathematics |
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