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_1390 | deepmind/aqua_rat | For what values of k will the pair of equations (3x + 4y)/2 = 6 and kx + 12y = 30 does not have a unique solution? | A. 12 B. 9 C. 3 D. 7.5 E. 2.5 | B. 9 | we have 2 equations
1. (3x + 4y)/2 = 6 --> 3x + 4y = 12 -- > 9x + 12y = 36
2. kx + 12y = 30
substract 1-2, we get (9-K)x = 6
i.e. x = 6/(9-k)
then, by looking at options, we get some value of x except for B. When we put k=9, x becomes 6/0 and hence answer is B | college_mathematics | mathematics |
math_113 | math_mc | George has a quadratic of the form $x^2+bx+\frac13$, where $b$ is a specific negative number. Using his knowledge of how to complete the square, George is able to rewrite this quadratic in the form $(x+m)^2+\frac{1}{12}$. What is $b$? | D | math_Algebra | mathematics | ||
mmlu_aux_train_71393 | mmlu_aux_train | Robots have come a long way since 15th century. We've got robots to build cars, carry heavy things, work in dangerous places and explore planets. But things haven't stopped there. In 1986, Honda made a robot called ASIMO. And now, it has been developed greatly. Standing at 130cm and weighing 54kg. ASIMO is very much li... | C. Fighting, climbing or running fast | high_school_computer_science | computer_science | ||
allenai/sciq_10242 | allenai/sciq | What is a representation of the valence electrons of an atom that uses dots around the symbol of the element?
A. time structure
B. right structure
C. lewis structure
D. watson structure | C. lewis structure | In almost all cases, chemical bonds are formed by interactions of valence electrons in atoms. To facilitate our understanding of how valence electrons interact, a simple way of representing those valence electrons would be useful. A Lewis electron dot diagram (or electron dot diagram or a Lewis diagram or a Lewis struc... | high_school_chemistry | chemistry | |
mmlu_aux_train_24092 | mmlu_aux_train | The hole in the Earth's ozone layer has until now protected Antarctic from the worst effects of global warming, but scientists have warned that as the hole closes up in the next few decades, temperatures on the continent could rise by around 3degC on average, with melting ice contributing to a global sea level increas... | B. It is making much of the continent colder. | college_biology | biology | ||
allenai/sciq_8748 | allenai/sciq | What causes earthquakes at mid-ocean ridges to be small and shallow?
A. plates are thick , old , and hot
B. plates are thin , young , and cold
C. plates are thick , young , and cold
D. plates are thin , young , and hot | D. plates are thin , young , and hot | Earthquakes also occur at divergent plate boundaries. At mid-ocean ridges, these earthquakes tend to be small and shallow focus because the plates are thin, young, and hot. Earthquakes in the oceans are usually far from land, so they have little effect on peoples’ lives. On land, where continents are rifting apart, ear... | conceptual_physics | physics | |
pythonio_39 | pythonio-mc | Program:
def find_lcm(num1, num2):
if(num1>num2):
num = num1
den = num2
else:
num = num2
den = num1
rem = num % den
while (rem != 0):
num = den
den = rem
rem = num % den
gcd = den
lcm = int(int(num1 * num2)/int(gcd))
return lcm
def get_lcm(l):
num1 = l[0]
num2 = ... | A | code | computer_science | ||
math_1317 | math_mc | Let $x_1,$ $x_2,$ $\dots,$ $x_{100}$ be real numbers such that $x_1 + x_2 + \dots + x_{100} = 1$ and
\[\frac{x_1}{1 - x_1} + \frac{x_2}{1 - x_2} + \dots + \frac{x_{100}}{1 - x_{100}} = 1.\]Find
\[\frac{x_1^2}{1 - x_1} + \frac{x_2^2}{1 - x_2} + \dots + \frac{x_{100}^2}{1 - x_{100}}.\] | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_88253 | mmlu_aux_train | Some teenagers think that newspapers are boring and only for adults. But that's not true. There are many interesting stories in the paper. _ "I spend about half an hour reading newspapers every day," said 15-year-old Gao Ming from Beijing. "I'm interested in things happening at school." School news is just one kind of ... | A. reporters write different kinds of news | high_school_computer_science | computer_science | ||
allenai/sciq_8849 | allenai/sciq | The cell walls of fungi are made of what?
A. chitin
B. lectin
C. mucous
D. cartilage | A. chitin | Today, fungi are no longer classified as plants. We now know that they have unique physical, chemical, and genetic traits that set them apart from plants (and other eukaryotes). For example, the cell walls of fungi are made of chitin, not cellulose. Also, fungi absorb nutrients from other organisms, whereas plants make... | high_school_biology | biology | |
math_1169 | math_mc | Compute the value of the infinite series \[
\sum_{n=2}^{\infty} \frac{n^4+3n^2+10n+10}{2^n \cdot \left(n^4+4\right)}
\] | D | math_Intermediate Algebra | mathematics | ||
allenai/sciq_1042 | allenai/sciq | The chemical behavior of elements can largely be explained by what?
A. proton configuration
B. electron configurations
C. chemical configuration
D. neutron configuration | B. electron configurations | The chemical behavior of elements can largely be explained by electron configurations. | high_school_chemistry | chemistry | |
allenai/sciq_832 | allenai/sciq | What kind of bonds are forces of attraction between positive metal ions and the valence electrons that are constantly moving around them?
A. ionized bonds
B. metallic bonds
C. liquid bonds
D. neutron bonds | B. metallic bonds | Metallic bonds are forces of attraction between positive metal ions and the valence electrons that are constantly moving around them (see the Figure below ). The valence electrons include their own and those of other, nearby ions of the same metal. The valence electrons of metals move freely in this way because metals ... | high_school_chemistry | chemistry | |
mmlu_aux_train_23592 | mmlu_aux_train | Many people rely on a cup of coffee or two to wake them up in the morning or pick them up during the working day, but now a chemist has come up with a speedy alternative to crafting a cup of coffee. U.S. biochemist Ben Yu has created 'Sprayable Energy,' which claims to be the world's first caffeine - based topical ener... | B. Sprayable Energy lets users not worry about taking in unnecessary calories.. | college_chemistry | chemistry | ||
allenai/sciq_11566 | allenai/sciq | What occurs when hot magma transforms rock that it contacts?
A. existence metamorphism
B. form metamorphism
C. changing metamorphism
D. contact metamorphism | D. contact metamorphism | Contact metamorphism occurs when hot magma transforms rock that it contacts. | college_geology | earth_science | |
pythonio_620 | pythonio-mc | Program:
def mul_even_odd(list1):
first_even = next((el for el in list1 if el%2==0),-1)
first_odd = next((el for el in list1 if el%2!=0),-1)
return (first_even*first_odd)
Input:
mul_even_odd([1,5,7,9,10])
Output: | D | code | computer_science | ||
allenai/sciq_6419 | allenai/sciq | What are the chemical messengers used to communicate between cells?
A. peptides
B. neurons
C. hormones
D. membranes | C. hormones | Hormones, chemical messengers used to communicate between cells, are important in regulating digestion. | college_biology | biology | |
math_926 | math_mc | $ABCD$ is a rectangular sheet of paper that has been folded so that corner $B$ is matched with point $B'$ on edge $AD.$ The crease is $EF,$ where $E$ is on $AB$ and $F$ is on $CD.$ The dimensions $AE=8, BE=17,$ and $CF=3$ are given. The perimeter of rectangle $ABCD$ is $m/n,$ where $m$ and $n$ are relatively prime posi... | B | math_Geometry | mathematics | ||
NLP4Education_24 | NLP4Education | Which of the execution of an application are possible on a single-core machine?
A. Parallel execution
B. Concurrent execution
C. Both concurrent and parallel execution
D. Neither concurrent nor parallel execution | B. Concurrent execution | computer_security | computer_science | ||
allenai/sciq_9922 | allenai/sciq | What do you call a mirror shaped like the inside of a bowl?
A. convex
B. concave
C. circular
D. curved | B. concave | A concave mirror is shaped like the inside of a bowl. The type of image it forms depends on where the object is relative to the focal point. The image may be real, upside down, and reduced in size; or it may be virtual, right-side up, and enlarged. | high_school_physics | physics | |
allenai/sciq_5623 | allenai/sciq | X and y are the labels of what specialized human chromosomes?
A. sex chromosomes
B. carb chromosomes
C. exotic chromosomes
D. protein chromosomes | A. sex chromosomes | The 24 human chromosomes. The autosomes are numbered 1 - 22, based on size, with chromosome 1 being the largest. The X and Y sex chromosomes are shown in the box. | college_biology | biology | |
NLP4Education_821 | NLP4Education | Let \( P(n) \) be a proposition for a positive integer \( n \) (positive integers do not include 0).
You have managed to prove that \( \forall k > 2, \left[ P(k-2) \wedge P(k-1) \wedge P(k) \right] \rightarrow P(k+1) \).
You would like to prove that \( P(n) \) is true for all positive integers. What is left for you t... | A. Show that \( P(1) \), \( P(2) \) and \( P(3) \) are true, then use strong induction to conclude that \( P(n) \) is true for all positive integers. | formal_logic | mathematics | ||
math_1307 | math_mc | Define
\[A = \frac{1}{1^2} + \frac{1}{5^2} - \frac{1}{7^2} - \frac{1}{11^2} + \frac{1}{13^2} + \frac{1}{17^2} - \dotsb,\]which omits all terms of the form $\frac{1}{n^2}$ where $n$ is an odd multiple of 3, and
\[B = \frac{1}{3^2} - \frac{1}{9^2} + \frac{1}{15^2} - \frac{1}{21^2} + \frac{1}{27^2} - \frac{1}{33^2} + \dot... | B | math_Intermediate Algebra | mathematics | ||
math_2151 | math_mc | Given quadrilateral $ABCD,$ side $\overline{AB}$ is extended past $B$ to $A'$ so that $A'B = AB.$ Points $B',$ $C',$ and $D'$ are similarly constructed.
[asy]
unitsize(1 cm);
pair[] A, B, C, D;
A[0] = (0,0);
B[0] = (2,0);
C[0] = (1.5,2);
D[0] = (0.2,1.5);
A[1] = 2*B[0] - A[0];
B[1] = 2*C[0] - B[0];
C[1] = 2*D[0] - ... | C | math_Precalculus | mathematics | ||
aquarat_688 | deepmind/aqua_rat | What distance (in meters) will be covered by a bus moving at 54 km/hr in 30 seconds? | A. 390 B. 420 C. 450 D. 480 E. 510 | C. 450 | 54 km/hr = 54 * 5/18 = 15 m/s
distance = 15 * 30 = 450 meters
The answer is C. | conceptual_physics | physics |
NLP4Education_12 | NLP4Education | What are the drawbacks of non-preemptive scheduling compared to preemptive scheduling?
A. Non-preemptive scheduling often leads to poor response times for processes.
B. It requires more computational resources to switch tasks than preemptive scheduling.
C. Non-preemptive scheduling guarantees real-time tasks will never... | A. Non-preemptive scheduling often leads to poor response times for processes. | computer_security | computer_science | ||
pythonio_494 | pythonio-mc | Program:
def multiply_elements(test_tup):
res = tuple(i * j for i, j in zip(test_tup, test_tup[1:]))
return (res)
Input:
multiply_elements((1, 5, 7, 8, 10))
Output: | C | code | computer_science | ||
NLP4Education_406 | NLP4Education | Select the \emph{correct} statement. The Plain RSA Signature scheme
A. has modulus $N=p^2$.
B. has public modulus $e$ to be selected so that $\text{gcd} (e, \varphi(N)) > 1$.
C. allows us to pick a fixed public key exponent like $e=3$ or $e=2^{16}+1$.
D. has a secret modulus $d$ to be selected so that $e+d = 0 \pmod{\v... | C. allows us to pick a fixed public key exponent like $e=3$ or $e=2^{16}+1$. | college_mathematics | mathematics | ||
mmlu_aux_train_96234 | mmlu_aux_train | A telescope is used to observe what?
A. heavenly bodies
B. star charts
C. animals
D. water | A. heavenly bodies | astronomy | physics | ||
allenai/sciq_7503 | allenai/sciq | What does magma that cools underground form?
A. instrusions
B. chambers
C. fluctuations
D. new crust | A. instrusions | Magma that cools underground forms intrusions ( Figure below ). Intrusions become land formations if they are exposed at the surface by erosion. | college_earth_science | earth_science | |
allenai/sciq_9236 | allenai/sciq | Where do greenhouse gases trap heat?
A. space
B. atmosphere
C. altitude
D. ground | B. atmosphere | We learned in the previous concept, "Scientific Explanations and Interpretations," that the average global temperature has been on the rise. Scientists know that carbon dioxide is a greenhouse gas . Greenhouse gases trap heat in the atmosphere. This leads us to a question:. | college_physics | physics | |
allenai/sciq_8073 | allenai/sciq | Name a carbonyl in which the carbon atom is bonded to one carbon atom and one hydrogen atom (or two hydrogen atoms).
A. ketone
B. acetylcholine
C. ester
D. aldehyde | D. aldehyde | An aldehyde is a carbonyl in which the carbon atom is bonded to one carbon atom and one hydrogen atom (or two hydrogen atoms, see below). Because the hydrogen atom is so small, the partial positive charge on the carbonyl carbon is very easy for other molecules to approach, making aldehydes a particularly reactive type ... | high_school_chemistry | chemistry | |
math_1552 | math_mc | If $n$ is a positive integer, then let $f(n)$ be the sum of the digits of $\frac{1}{5^{{}^n}}$ that are to the right of the decimal point. What is the smallest positive integer $n$ such that $f(n) > 10$? | C | math_Number Theory | mathematics | ||
aquarat_32650 | deepmind/aqua_rat | James Horner is having two coins in his hand. Out of the two coins, one is a real coin and the second one is a faulty one with Tales on both sides. He blind folds himself choose a random coin and tosses it in the air. The coin falls down with Tale facing upwards.
What is the probability that this is the faulty coin? | A. 3/6 B. 2/3 C. 1/3 D. 3/5 E. 1/8 | B. 2/3 | B
2/3
While tossing the coins in this case only two cases are favorable:
1) A1 (H) A2 (H)
2) A2 (H) A1 (H)
3) B1 (H) B2 (T)
4) B2 (T) B1 (H)
Since the fourth case is not feasible, the probability is 2/3. | college_mathematics | mathematics |
NLP4Education_651 | NLP4Education | In order to avoid the Bleichenbacher attack in ElGamal signatures, \ldots
A. authors should put their name in the message.
B. groups of prime order should be used.
C. groups of even order should be used.
D. groups with exponential number of elements should be used. | B. groups of prime order should be used. | computer_security | computer_science | ||
math_1303 | math_mc | The coefficients of the polynomial
\[a_{10} x^{10} + a_9 x^9 + a_8 x^8 + \dots + a_2 x^2 + a_1 x + a_0 = 0\]are all integers, and its roots $r_1,$ $r_2,$ $\dots,$ $r_{10}$ are all integers. Furthermore, the roots of the polynomial
\[a_0 x^{10} + a_1 x^9 + a_2 x^8 + \dots + a_8 x^2 + a_9 x + a_{10} = 0\]are also $r_1,$... | C | math_Intermediate Algebra | mathematics | ||
NLP4Education_545 | NLP4Education | Select the \emph{incorrect} statement. The discrete logarithm
A. can be solved by a polynomial algorithm.
B. is an easy problem in the Abelian group $\mathbb{Z}_p$.
C. is a hard problem in the multiplicative group $\mathbb{Z}_p^*$.
D. can be solved easily on a quantum computer. | A. can be solved by a polynomial algorithm. | abstract_algebra | mathematics | ||
math_242 | math_mc | The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $x/y$, in that order. What is the fifth term? Express your answer as a common fraction. | B | math_Algebra | mathematics | ||
math_830 | math_mc | Circles $\mathcal{C}_{1}$ and $\mathcal{C}_{2}$ intersect at two points, one of which is $(9,6)$, and the product of the radii is $68$. The x-axis and the line $y = mx$, where $m > 0$, are tangent to both circles. It is given that $m$ can be written in the form $a\sqrt {b}/c$, where $a$, $b$, and $c$ are positive integ... | C | math_Geometry | mathematics | ||
aquarat_73241 | deepmind/aqua_rat | The set S contains fractions a/b, where a and b are positive integers, which don’t share any prime factor. How many of these fractions have the following property: when both numerator and denominator are increased by 1, the value of fraction is increased by 10%? | A. 0 B. 1 C. 2 D. 3 E. 4 | B. 1 | he fraction with 1 added to the numerator & denominator is 10% larger than the original. A 10% increase is equivalent to multiplying by the multiplier 1.1 or 11/10. Thus
a+1/b+1=11/10×a/b
Now, cross multiply
10ab + 10 b = 11ab + 11a
10 b = 1ab + 11a
Divide by b.
10=a+11 a/b
10−a/11=a/b
From here, it's obvious that b ha... | college_mathematics | mathematics |
mmlu_aux_train_51597 | mmlu_aux_train | We are already familiar with computers--computers work for us at home, in offices and in factories. But it is also true that many children today are using computers at schools before they can write. What does this mean for the future? Are these children lucky or not? Many people who do not know about computers think of... | B. know about | high_school_computer_science | computer_science | ||
math_1786 | math_mc | Let $N=123456789101112\dots4344$ be the $79$-digit number that is formed by writing the integers from $1$ to $44$ in order, one after the other. What is the remainder when $N$ is divided by $45$?
$\textbf{(A)}\ 1\qquad\textbf{(B)}\ 4\qquad\textbf{(C)}\ 9\qquad\textbf{(D)}\ 18\qquad\textbf{(E)}\ 44$
| D | math_Number Theory | mathematics | ||
math_1021 | math_mc | In $\triangle ABC$ the ratio $AC:CB$ is $3:4$. The bisector of the exterior angle at $C$ intersects $BA$ extended at $P$ ($A$ is between $P$ and $B$). The ratio $PA:AB$ is:
$\textbf{(A)}\ 1:3 \qquad \textbf{(B)}\ 3:4 \qquad \textbf{(C)}\ 4:3 \qquad \textbf{(D)}\ 3:1 \qquad \textbf{(E)}\ 7:1$
| B | math_Geometry | mathematics | ||
mmlu_aux_train_93520 | mmlu_aux_train | In a closed system, what happens to the total energy of the system as energy conversions take place?
A. It increases.
B. It decreases.
C. It remains constant.
D. It is transferred out of the system. | C. It remains constant. | conceptual_physics | physics | ||
mmlu_aux_train_58052 | mmlu_aux_train | It's flu season. What are you doing about it? David Oreck, Founder My Oreck Air Purifier captures and destroys viruses, bacteria and germs. 2005 ORECK HOLDINGS,LLC. All Rights Reserved. All word marks, logos, product configurations and registered trademarks are owned and used under the authority of Oreck Holdings, L... | D. To persuade reader to buy his Air purifier. | clinical_knowledge | biology | ||
NLP4Education_587 | NLP4Education | What is the length in bits of the input and output of a DES S-Box respectively?
A. 6 and 6
B. 4 and 6
C. 6 and 4
D. 4 and 4 | C. 6 and 4 | computer_security | computer_science | ||
allenai/sciq_2620 | allenai/sciq | Increasing or decreasing the temperature of a system in what state acts as a stress to the system?
A. liquid
B. nitrogen
C. equilibrium
D. gaseous | C. equilibrium | Increasing or decreasing the temperature of a system at equilibrium is also a stress to the system. The equation for the Haber-Bosch process is written again below, this time as a thermochemical equation. | conceptual_physics | physics | |
math_627 | math_mc | Point $(x,y)$ is randomly picked from the rectangular region with vertices at $(0,0),(2009,0),(2009,2010),$ and $(0,2010)$. What is the probability that $x > 7y$? Express your answer as a common fraction. | C | math_Counting & Probability | mathematics | ||
mmlu_aux_train_96108 | mmlu_aux_train | A woman visits the same beach year after year, and begins to notice a change to a large wall of stone. Where the water touches the rock, she notices that the rock shows signs of being dissolved. After two year, there is an indent in the rock. After fifty years, the woman discovers that the rock
A. is now an undergroun... | A. is now an underground chamber | earth_science | earth_science | ||
math_1173 | math_mc | If $z$ is a complex number such that
\[
z + z^{-1} = \sqrt{3},
\]what is the value of
\[
z^{2010} + z^{-2010} \, ?
\] | D | math_Intermediate Algebra | mathematics | ||
math_1417 | math_mc | Let $a,$ $b,$ $c,$ $d$ be real numbers such that
\[\frac{(a - b)(c - d)}{(b - c)(d - a)} = \frac{2}{5}.\]Find the sum of all possible values of
\[\frac{(a - c)(b - d)}{(a - b)(c - d)}.\] | B | math_Intermediate Algebra | mathematics | ||
NLP4Education_84 | NLP4Education | Which of the following is wrong regarding Ontologies?
A. We can create more than one ontology that conceptualizes the same real-world entities.
B. Ontologies help in the integration of data expressed in different models.
C. Ontologies dictate how semi-structured data are serialized.
D. Ontologies support domain-specifi... | C. Ontologies dictate how semi-structured data are serialized. | computer_security | computer_science | ||
aquarat_60269 | deepmind/aqua_rat | In the faculty of Reverse-Engineering, 500 second year students study numeric methods, 300 second year students study automatic control of airborne vehicles and 300 second year students study them both. How many students are there in the faculty if the second year students are approximately 50% of the total? | A. 1100 B. 1200 C. 1150 D. 1000 E. 1050 | D. 1000 | Total number of students studying both are 500 + 300 - 300 = 500 (Subtracting the 300 since they were included in the both the other numbers already).
So 50% of total is 500, so 100% is 1000
Answer is D | college_mathematics | mathematics |
mmlu_aux_train_2146 | mmlu_aux_train | What is the main source of heat for Earth's surface?
A. fire
B. lightning
C. the Sun
D. the ocean | C. the Sun | astronomy | physics | ||
allenai/sciq_2671 | allenai/sciq | What is required when electrons are removed from an atom, and released from the process when an electron is added?
A. fuel
B. proton
C. energy
D. nuclear | C. energy | When electrons are removed from an atom, that process requires energy to pull the electron away from the nucleus. Addition of an electron releases energy from the process. | college_chemistry | chemistry | |
aquarat_23948 | deepmind/aqua_rat | A space shuttle orbits the earth at about 6 kilometers per second. This speed is equal to how many kilometers per hour? | A. 480 B. 2,880 C. 21,600 D. 28,800 E. 48,000 | C. 21,600 | Seconds in 1 hours:
60s in 1 min
60 min in 1 hr
60*60=3600 sec in 1 hr
6*3600=21,600
Answer: C | conceptual_physics | physics |
NLP4Education_111 | NLP4Education | With negative sampling a set of negative samples is created for
A. each word in the vocabulary
B. each word-context pair
C. each occurrence of a word in the text
D. each occurrence of a word-context pair in the text | D. each occurrence of a word-context pair in the text | machine_learning | computer_science | ||
mmlu_aux_train_86683 | mmlu_aux_train | We see 3D movies, games, TVs, and so on. Do you hear of 3D newspapers? Yes, here is a kind of newspaper from Belgian. And it was born on March 3rd, 2010. This is the first 3D newspaper in the world. Huber Leklein with his friends began to make the 3D newspaper in January,2010. They worked really hard. And they finish... | B. Belgian | high_school_computer_science | computer_science | ||
allenai/sciq_4469 | allenai/sciq | Featuring a stalk-like filament that ends in an anther, what is the male reproductive organ in a flower?
A. stamen
B. cones
C. angiosperms
D. petals | A. stamen | The male reproductive organ in a flower is the stamen . It has a stalk-like filament that ends in an anther. The anther is where pollen forms. | high_school_biology | biology | |
allenai/sciq_407 | allenai/sciq | What is friction that acts on objects while it is rolling over a surface called?
A. opposing friction
B. surface friction
C. blowing friction
D. rolling friction | D. rolling friction | Rolling friction is friction that acts on objects when they are rolling over a surface. Rolling friction is much weaker than sliding friction or static friction. This explains why most forms of ground transportation use wheels, including bicycles, cars, 4-wheelers, roller skates, scooters, and skateboards. Ball bearing... | high_school_physics | physics | |
mmlu_aux_train_20459 | mmlu_aux_train | While it may be unlikely for a computer to write a best seller, a technology expert has created a computer program that writes its own fiction stories with minimal user input. The program, called MEXICA, is the first to generate original stories based on computerized representations of emotions and tensions between cha... | B. It is a computer program created by Rafael Perezy Perez. | college_computer_science | computer_science | ||
allenai/sciq_10939 | allenai/sciq | What is the process of processing used material into new ones called?
A. reuse
B. remake
C. renew
D. recycling | D. recycling | Now we move on to recycle. Sometimes it may be difficult to understand the differences between reusing and recycling. Recycling involves processing used materials in order to make them suitable for other uses. That usually means taking a used item, breaking it down, and reusing the pieces. Even though recycling require... | high_school_biology | biology | |
math_179 | math_mc | By starting with a million and alternatively dividing by 2 and multiplying by 5, Anisha created a sequence of integers that starts 1000000, 500000, 2500000, 1250000, and so on. What is the last integer in her sequence? Express your answer in the form $a^b$, where $a$ and $b$ are positive integers and $a$ is as small as... | B | math_Algebra | mathematics | ||
aquarat_88620 | deepmind/aqua_rat | The residents of the town Q participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of town Q, watched television last we... | A. - 30 B. - 20 C. - 18 D. - 12 E. - 6 | E. - 6 | (21-6*2)<number of hours that Pat watched television last week <(21-6*1)
=9<L<15
Only option E (12) satisfies this condition. | high_school_statistics | mathematics |
aquarat_91405 | deepmind/aqua_rat | For which of the following functions does f(−z)=−f(z) for all real number values of x? | A. z^8−z^4 B. z^5/(z^2+1) C. z^5/z^7 D. z^9/(z^5+1) E. z^8 | B. z^5/(z^2+1) | all even root cannot be matched eliminated
put z=2
f(−z)=(−2)^5/(−2^)2+1=−32/5, and
−f(z)=−2^5/2^2+1=−32/5, for a match.
ANSWER: B | college_mathematics | mathematics |
pythonio_936 | pythonio-mc | Program:
def get_noOfways(n):
if (n == 0):
return 0;
if (n == 1):
return 1;
return get_noOfways(n - 1) + get_noOfways(n - 2);
Input:
get_noOfways(4)
Output: | C | code | computer_science | ||
math_2197 | math_mc | Find the projection of the vector $\begin{pmatrix} 4 \\ -4 \\ -1 \end{pmatrix}$ onto the line
\[2x = -3y = z.\] | C | math_Precalculus | mathematics | ||
aquarat_4386 | deepmind/aqua_rat | The average age of applicants for a new job is 32, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum ... | A. 8 B. 77 C. 7 D. 18 E. 34 | C. 7 | Minimum age = Average - 1 Standard deviation = 32 - 8 = 24
Maximum age = average + 1 Standard deviation = 32+ 8 = 40
Maximum number of different ages of the applicants = 30 - 24 + 1 = 7
Answer C | high_school_statistics | mathematics |
NLP4Education_473 | NLP4Education | What is the number of secret bits in a WEP key?
A. 64 or 128 bits.
B. 40 or 104 bits.
C. 64 or 128 bytes.
D. 40 or 104 bytes. | B. 40 or 104 bits. | computer_security | computer_science | ||
NLP4Education_212 | NLP4Education | The primal formulation of the soft-margin SVM is NOT equivalent to $\ell_2$ adversarial training for a linear model trained with the hinge loss ($\ell(z) = \max\{0, 1 - z\}$).
A. True
B. False
C. Only when the margin parameter is zero
D. Only for nonlinear kernels | A. True | machine_learning | computer_science | ||
aquarat_44301 | deepmind/aqua_rat | If f(x) = x^3/(x^5 - 1), what is f(1/x) in terms of f(x)? | A. -f(x) B. 1/f(x) C. 2/f(x) D. 3/f(x) E. f(x) | A. -f(x) | If x = 2 then f(x) = 8/31 and f(1/x) = -8/31 which is equal to -f(x)
answer A | college_mathematics | mathematics |
mmlu_aux_train_32670 | mmlu_aux_train | Small discoveries in Indonesia are causing a stir in the science world. Researchers have unearthed tiny bones that they believe belong to an entire new human species. If that's true, it will change how we think about our ancestors. Clues that the little people may have lived long ago were first revealed last year in t... | B. it resembles the tiny heroes in a set of books | high_school_biology | biology | ||
allenai/sciq_2881 | allenai/sciq | What is the term for dating a rock based on composition decay?
A. fuel dating
B. safe dating
C. carbon dating
D. radioactive dating | D. radioactive dating | There are other forms of radioactive dating. Rocks, for example, can sometimes be dated based on the decay of 238 U . The decay series for 238 U ends with 206 Pb , so that the ratio of these nuclides in a rock is an indication of how long it has been since the rock solidified. The original composition of the rock, such... | college_earth_science | earth_science | |
aquarat_23700 | deepmind/aqua_rat | Rita and Sam play the following game with n sticks on a table. Each must remove 1,2,3,4, or 5 sticks at a time on alternate turns, and no stick that is removed is put back on the table. Tha one who removes the last stick (or sticks) from the table wins. If Rita goes first, which of the following is a value of n such th... | A. 7 B. 10 C. 11 D. 12 E. 16 | D. 12 | If the number of sticks on a table is a multiple of 6, then the second player will win in any case (well if the player is smart enough).
Consider n=6, no matter how many sticks will be removed by the first player (1, 2, 3 ,4 or 5), the rest (5, 4, 3, 2, or 1) can be removed by the second one.
The same for n=12: no matt... | formal_logic | mathematics |
allenai/sciq_5517 | allenai/sciq | What describes a combination of two or more substances, each of which maintains its own chemical identity?
A. structure
B. bond
C. mixture
D. solute | C. mixture | Water as a Component of Liquid Mixtures A mixture is a combination of two or more substances, each of which maintains its own chemical identity. In other words, the constituent substances are not chemically bonded into a new, larger chemical compound. The concept is easy to imagine if you think of powdery substances su... | high_school_chemistry | chemistry | |
math_320 | math_mc | The graph of $y=f(x)$ is shown below, with $1$ unit between grid lines. Assume $f(x)$ is defined only on the domain shown.
What is the sum of all integers $c$ for which the equation $f(x)=c$ has exactly $6$ solutions?
[asy]
size(150);
real ticklen=3;
real tickspace=2;
real ticklength=0.1cm;
real axisarrowsize=0.14cm... | C | math_Algebra | mathematics | ||
math_278 | math_mc | The three points $(3,-5)$, $(-a + 2, 3)$, and $(2a+3,2)$ lie on the same line. What is $a$? | B | math_Algebra | mathematics | ||
allenai/sciq_6654 | allenai/sciq | Compared with the molecules of many other substances, molecules of water are strongly attracted to what?
A. nothing
B. helium
C. each other
D. hydrogen | C. each other | Compared with the molecules of many other substances, molecules of water are strongly attracted to each other. How is this likely to affect the boiling point of water?. | high_school_chemistry | chemistry | |
allenai/sciq_2681 | allenai/sciq | What do obligate aerobes need to live?
A. blood
B. oxygen
C. acid
D. dioxide | B. oxygen | Organisms that are obligate aerobes need oxygen to live. That is, they use oxygen as a terminal electron acceptor while making ATP (see the “Cellular Respiration” concept). Humans are obligate aerobes, and so are Mycobacterium tuberculosis bacteria. M. tuberculosis causes tuberculosis (TB). Obligate aerobes are found o... | high_school_biology | biology | |
allenai/sciq_3536 | allenai/sciq | The periodic table is an arrangement of the elements in order of increasing what?
A. gravity numbers
B. atomic numbers
C. negative numbers
D. metallic numbers | B. atomic numbers | Summary The periodic table is an arrangement of the elements in order of increasing atomic number. Elements that exhibit similar chemistry appear in vertical columns calledgroups (numbered 1–18 from left to right); the seven horizontal rows are calledperiods. Some of the groups have widely used common names, including ... | high_school_chemistry | chemistry | |
math_198 | math_mc | A car travels the 120 miles from $A$ to $B$ at 60 miles per hour, and then returns to $A$ on the same road. If the average rate of the round trip is 45 miles per hour, what is the rate, in miles per hour, of the car traveling back from $B$ to $A$? | C | math_Algebra | mathematics | ||
mmlu_aux_train_95339 | mmlu_aux_train | What would you measure in a graduated cylinder?
A. nitrogen
B. Perfume
C. Oxygen
D. helium | B. Perfume | high_school_chemistry | chemistry | ||
aquarat_7970 | deepmind/aqua_rat | Two trains each 180 m in length are running on the same parallel lines in opposite directions with the speed of each 80 kmph. In what time will they cross each other completely? | A. 7.8 sec B. 8.1 sec C. 8.3 sec D. 8.2 sec E. 8.4 sec | B. 8.1 sec | D = 180m + 180m = 360m * 1/1000 = 0.36 kms
RS = 80 + 80 = 160 kmph
T = (0.36/160) * 3600 = 8.1 sec
ANSWER:B | high_school_physics | physics |
math_2188 | math_mc | Compute
\[\cos^6 0^\circ + \cos^6 1^\circ + \cos^6 2^\circ + \dots + \cos^6 90^\circ.\] | D | math_Precalculus | mathematics | ||
allenai/sciq_8034 | allenai/sciq | What kind of respiration allows rapid production of atp in low oxygen situations?
A. aerobic
B. anaerobic
C. enzymatic
D. anabolic | B. anaerobic | Muscle color reflects its specialization for aerobic or anaerobic metabolism. Although humans are obligate aerobes , our muscle cells have not given up on ancient pathways which allow them to keep producing ATP quickly when oxygen runs low. The difference is more pronounced in chickens and grouse ( Figure below ), whic... | high_school_biology | biology | |
allenai/sciq_1952 | allenai/sciq | Communication is any way that animals share what?
A. food
B. genes
C. information
D. water | C. information | Communication is any way that animals share information. For animals that live in social groups, communication is essential. Animals may use a range of senses for communicating. The most important way that humans communicate is with language. | high_school_biology | biology | |
allenai/sciq_6011 | allenai/sciq | What is the permanent prevention of gamete production or release called?
A. fertilization
B. sterilization
C. restoration
D. insemination | B. sterilization | college_biology | biology | ||
math_280 | math_mc | Two numbers are independently selected from the set of positive integers less than or equal to 5. What is the probability that the sum of the two numbers is less than their product? Express your answer as a common fraction. | C | math_Algebra | mathematics | ||
mmlu_aux_train_57005 | mmlu_aux_train | When you think about math, you probably don't think about breaking the law, solving mysteries or finding criminals. But a mathematician in Maryland does, and he has come up with mathematical tools to help police find criminals. People who solve crimes look for patterns that might reveal the identity of the criminal. I... | A. focus on where crimes take place | college_mathematics | mathematics | ||
allenai/sciq_9589 | allenai/sciq | Liquid hcl can be used to do what to the ph of a swimming pool?
A. raise it
B. heighten it
C. increase it
D. lower it | D. lower it | We all enjoy a cool dip in a swimming pool on a hot day, but we may not realize the work needed to keep that water safe and healthy. The ideal pH for a swimming pool is around 7.2. The pH will change as a result of many factors. Adjustment can be accomplished with different chemicals depending on the tested pH. High pH... | high_school_chemistry | chemistry | |
math_1961 | math_mc | A survey of $120$ teachers determined the following:
$70$ had high blood pressure
$40$ had heart trouble
$20$ had both high blood pressure and heart trouble
What percent of the teachers surveyed had neither high blood pressure nor heart trouble? | A | math_Prealgebra | mathematics | ||
aquarat_10836 | deepmind/aqua_rat | For every positive odd integer n, the function h(n) is defined to be the product of all the odd integers from 1 to n, inclusive. If p is the smallest prime factor of h(100) +2(100)+1, then p is? | A. between 1 and 20 B. between 10 and 20 C. between 20 and 30 D. between 30 and 40 E. 1 | E. 1 | h(100) will have 0 in its unit digit because while doing the calculation of the function we are multiplying by 100. So h(100)+2(100)+1 will have 1 in the units digit so smallest prime factor is 1.
Answer: E | college_mathematics | mathematics |
aquarat_92675 | deepmind/aqua_rat | Barbara, Becky and Beth dressed up as princesses for Halloween. One was Snow White. One was Sleeping Beauty. One was Cinderella. Becky is not Sleeping Beauty and she went trick-or-treating with Snow White. Beth and Sleeping Beauty are sisters. Who is Snow White? | A. Becky B. Beth C. Barbara D. none E. Mary | B. Beth | Becky is neither Sleeping Beauty nor Snow White (since Becky went trick-or-treating with Snow White). Therefore, Becky has to be Cinderella.
Beth is neither Sleeping Beauty nor Cinderella (since Becky is Cinderella). Therefore, Beth has to be Snow White.
correct answer B | formal_logic | mathematics |
pythonio_97 | pythonio-mc | Program:
def take_L_and_F_set_bits(n) :
n = n | n >> 1
n = n | n >> 2
n = n | n >> 4
n = n | n >> 8
n = n | n >> 16
return ((n + 1) >> 1) + 1
def toggle_F_and_L_bits(n) :
if (n == 1) :
return 0
return n ^ take_L_and_F_set_bits(n)
Input:
toggle_F_and_L_bits(... | B | code | computer_science | ||
pythonio_869 | pythonio-mc | Program:
def mutiple_tuple(nums):
temp = list(nums)
product = 1
for x in temp:
product *= x
return product
Input:
mutiple_tuple((4, 3, 2, 2, -1, 18))
Output: | A | code | computer_science | ||
aquarat_8415 | deepmind/aqua_rat | In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.
Approximately how many faulty circuit boards exist in a group of 800 circuit boards where 64 fail inspection? | A. 72 B. 192 C. 156 D. 256 E. 264 | C. 156 | Total of 800 boards. All that fail verification are indeed faulty. So the 64 are indeed faulty. 1/8 those that pass are also faulty.
From the 800 we know 64 fail. So 736 must pass. Of these 1/8 are faulty. 736 divided by 8 gives you 92.
What one must do now is to add to the 92 which were not detected the actually detec... | conceptual_physics | physics |
allenai/sciq_5607 | allenai/sciq | When something is described as "hydrophilic", you can determine something about how it interacts with what?
A. water
B. air
C. iron
D. hydrogen | A. water | hydrophilic heads are directed outward, in contact with the water. Each micelle may contain thousands of lipid molecules. Polar lipids may also form a monolayer, a layer one molecule thick on the surface of the water. The polar heads face into water, and the nonpolar tails stick up into the air. Bilayers are double lay... | high_school_chemistry | chemistry | |
math_2195 | math_mc | Given vectors $\mathbf{a}$ and $\mathbf{b},$ let $\mathbf{p}$ be a vector such that
\[\|\mathbf{p} - \mathbf{b}\| = 2 \|\mathbf{p} - \mathbf{a}\|.\]Among all such vectors $\mathbf{p},$ there exists constants $t$ and $u$ such that $\mathbf{p}$ is at a fixed distance from $t \mathbf{a} + u \mathbf{b}.$ Enter the ordered... | A | math_Precalculus | mathematics | ||
math_2119 | math_mc | Let $\theta$ be the angle between the line
\[\frac{x + 1}{2} = \frac{y}{3} = \frac{z - 3}{6}\]and the plane $-10x - 2y + 11z = 3.$ Find $\sin \theta.$
[asy]
import three;
size(150);
currentprojection = perspective(6,3,2);
triple I = (1,0,0), J = (0,1,0), K = (0,0,1), O = (0,0,0);
draw(surface((2*I + 2*J)--(2*I - 2... | B | math_Precalculus | mathematics | ||
math_1622 | math_mc | Find the smallest positive integer $N$ with the following property: of the three numbers $N$, $N+1$, and $N+2$, one of them is divisible by $2^2$, one of them is divisible by $3^2$, one is divisible by $5^2$, and one is divisible by $7^2$. | D | math_Number Theory | mathematics |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.