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 |
|---|---|---|---|---|---|---|---|
mmlu_aux_train_72091 | mmlu_aux_train | Long, long ago the world was a happy place. Nobody was ever sick or sad. At that time there lived a little girl named Pandora. One day a fairy gave her a wonderful box. The fairy made Pandora promise not to open it. Pandora and her friends often looked at the box and wondered what was in it. For a long time Pandora kep... | D. to keep the box closed | high_school_computer_science | computer_science | ||
mmlu_aux_train_1506 | mmlu_aux_train | Which action forms a different chemical substance?
A. crushing a rock
B. burning a piece of wood
C. mixing salt and pepper
D. melting an ice cube | B. burning a piece of wood | high_school_chemistry | chemistry | ||
aquarat_89147 | deepmind/aqua_rat | ABCD is a square where AB =√6016. Let X be a point on AB and Y be a point on CD such
that AX = CY . Compute the area of trapezoid AXYD. | A. 3008 B. 2002 C. 1008 D. 2016 E. 3000 | A. 3008 | Note that trapezoids AXY D and BXY C are congruent, so the area of AXY D is
always
6016/2= 3008 .
correct answer A | college_mathematics | mathematics |
mmlu_aux_train_83808 | mmlu_aux_train | Long ago ,there lived in Greece a learned man. He was so well known for his good knowledge of almost everything that lots of people from all over the country came to learn from him. The great man taught his students whole-heartedly and answered their questions with great patience. One day a student asked him, " My dear... | C. why he had more questions than the students | formal_logic | mathematics | ||
allenai/sciq_3137 | allenai/sciq | Because atoms are always electrically neutral, for each added proton, one of what is also added?
A. electron
B. quark
C. neutron
D. ion | A. electron | From left to right across the periodic table, each element has one more proton than the element to its left. Because atoms are always electrically neutral, for each added proton, one electron is also added. Electrons are added first to the lowest energy level possible until that level is full. Only then are electrons a... | high_school_chemistry | chemistry | |
aquarat_89123 | deepmind/aqua_rat | What will be the output of the following code statements?
Integer a = 13, b = 39, c = 10 print (a × b / c) – c | A. 65 B. 26 C. 29 D. 26 E. 41 | E. 41 | Explanation:
Apply BODMAS rule
13 × 39 = 507/10-10 =50.7 –10 =40.7
Answer:E | coding | computer_science |
aquarat_10989 | deepmind/aqua_rat | Each of the following equations R has at least one solution EXCEPT | A. R=–2^n = (–2)^-n B. R=2^-n = (–2)^n C. 2^n = (–2)^-n D. (–2)^n = –2^n E. (–2)^-n = –2^-n | A. R=–2^n = (–2)^-n | While it is possible to reason out which of these choices must not work, we may not have time or the confidence to do so. However, this problem has variable in its answer choice, and relatively simple math. Therefore, an easy alternative is picking numbers.
Since we're dealing with exponents, we want to keep things as ... | college_mathematics | mathematics |
NLP4Education_698 | NLP4Education | Does AddressSanitizer prevent \textbf{all} use-after-free bugs?
A. No, because quarantining freed memory chunks forever prevents legitimate memory reuse and could potentially lead to out-of-memory situations.
B. No, because UAF detection is not part of ASan's feature set.
C. Yes, because freed memory chunks are poisone... | A. No, because quarantining freed memory chunks forever prevents legitimate memory reuse and could potentially lead to out-of-memory situations. | computer_security | computer_science | ||
aquarat_89130 | deepmind/aqua_rat | Which of the following data sets has the largest standard deviation? | A. {1, 2, 3, 4, 5} B. {2, 3, 3, 3, 4} C. {2, 2, 2, 4, 5} D. {0, 2, 3, 4, 6} E. {-1, 1, 3, 5, 7} | E. {-1, 1, 3, 5, 7} | since we are asked to compare 'standard deviation', we should look out for similarity between all the sets..
The SIMILARITY is - the SUM of all sets is equal =15..
and hence average = 15/5 = 3...
Now we have 5 different sets which have AVG as 3, so we will look for the spread of the other elements of set around the AVE... | high_school_statistics | mathematics |
math_1215 | math_mc | Let $M$ be the maximum possible value of $x_1x_2+x_2x_3+\cdots +x_5x_1$ where $x_1, x_2, \dots, x_5$ is a permutation of $(1,2,3,4,5)$ and let $N$ be the number of permutations for which this maximum is attained. Evaluate $M+N$. | B | math_Intermediate Algebra | mathematics | ||
pythonio_38 | 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 = ... | B | code | computer_science | ||
mmlu_aux_train_1779 | mmlu_aux_train | Which of these is an example of liquid water?
A. Frost
B. Ice
C. Rain
D. Steam | C. Rain | high_school_chemistry | chemistry | ||
math_2108 | math_mc | In tetrahedron $ABCD,$
\[\angle ADB = \angle ADC = \angle BDC = 90^\circ.\]Also, $x = \sin \angle CAD$ and $y = \sin \angle CBD.$ Express $\cos \angle ACB$ in terms of $x$ and $y.$ | C | math_Precalculus | mathematics | ||
allenai/sciq_7030 | allenai/sciq | Portal veins carry blood between what?
A. chambers of the heart
B. digestive organs
C. arteries
D. pairs of capillary beds | D. pairs of capillary beds | college_biology | biology | ||
math_1935 | math_mc | How many rectangles are there whose four vertices are points on this grid? [asy]
size(50);
dot((0,0));
dot((5,0));
dot((10,0));
dot((0,5));
dot((0,10));
dot((5,5));
dot((5,10));
dot((10,5));
dot((10,10));
[/asy] | B | math_Prealgebra | mathematics | ||
math_684 | math_mc | John draws a regular five pointed star in the sand, and at each of the 5 outward-pointing points and 5 inward-pointing points he places one of ten different sea shells. How many ways can he place the shells, if reflections and rotations of an arrangement are considered equivalent? | A | math_Counting & Probability | mathematics | ||
math_439 | math_mc | Every card in a deck has a picture of one shape - circle, square, or triangle, which is painted in one of the three colors - red, blue, or green. Furthermore, each color is applied in one of three shades - light, medium, or dark. The deck has 27 cards, with every shape-color-shade combination represented. A set of thre... | A | math_Counting & Probability | mathematics | ||
pythonio_204 | pythonio-mc | Program:
import cmath
def polar_rect(x,y):
cn = complex(x,y)
cn=cmath.polar(cn)
cn1 = cmath.rect(2, cmath.pi)
return (cn,cn1)
Input:
polar_rect(4,7)
Output: | A | code | computer_science | ||
pythonio_566 | pythonio-mc | Program:
def unique_sublists(list1):
result ={}
for l in list1:
result.setdefault(tuple(l), list()).append(1)
for a, b in result.items():
result[a] = sum(b)
return result
Input:
unique_sublists([['green', 'orange'], ['black'], ['green', 'orange'], ['white']])
Output: | A | code | computer_science | ||
aquarat_1096 | deepmind/aqua_rat | A coin is weighted so that the probability of heads on any flip is 0.2, while the probability of tails is 0.8. If the coin is flipped 5 times independently, which of the following represents the probability that tails will appear no more than twice? | A. (0.2)^5 + 5(0.2)^4(0.8) + 10(0.2)^3(0.8)^2 B. (0.3)^5 + 4(0.3)^4(0.8) + 6(0.3)^3(0.8)^2 C. (0.3)^5 + 3(0.3)^4(0.8) + 2(0.3)^3(0.8)^2 D. (0.3)^5 + 2(0.3)^4(0.8) + (0.3)^3(0.8)^2 E. (0.6)^5 + (0.6)^4(0.4) + (0.6)^3(0.4)^2 | A. (0.2)^5 + 5(0.2)^4(0.8) + 10(0.2)^3(0.8)^2 | Probability of Head, P(H) = 0.2
Probability of Tail, P(T) = 0.8
Tail will appear NO more than twice
i.e. favourable cases
2 Tails and 3 Heads, Probability = 5C2*(0.2)^3*(0.8)^2
1 Tail and 4 Heads, Probability = 5C1*(0.2)^4*(0.8)^2
0 Tail and 5 Heads, Probability = (0.2)^5
Required Probability = Sum of all Favourable ca... | high_school_statistics | mathematics |
mmlu_aux_train_95919 | mmlu_aux_train | When a sound is produced inside a room, sometimes there is a
A. light
B. electric charge
C. delayed reflection
D. video | C. delayed reflection | conceptual_physics | physics | ||
mmlu_aux_train_38638 | mmlu_aux_train | It seems that all your friends' names on MSN have added a little green "I'm" symbol overnight. If you ask what is going on, someone will tell you it's a charity activity. Though this charity program has not yet officially begun for Chinese users, this little green symbol has proven popular among Chinese Windows Live Me... | A. It doesn't bring other users trouble. | computer_security | computer_science | ||
mmlu_aux_train_79274 | mmlu_aux_train | Computers are useful machines. They can help people a lot in their daily life. For example, they can help people to save much time to do more work, and they can help people to work out many problems they can't do easily. Our country asks everyone to learn to use computers before the twenty-first century, except the old... | B. it can help us a lot | high_school_computer_science | computer_science | ||
mmlu_aux_train_30843 | mmlu_aux_train | The global population is living longer,and getting older,which presents new challenges. "The question becomes:who will take care of everyone? While people will always be the best caregivers for people,there just aren't enough people. That's where robotic technology can really make a difference," says Professor Maja Mat... | D. giving care | college_computer_science | computer_science | ||
math_178 | math_mc | Let $f(x) = Ax + B$ and $g(x) = Bx + A$, where $A \neq B$. If $f(g(x)) - g(f(x)) = B - A$, what is $A + B$? | C | math_Algebra | mathematics | ||
mmlu_aux_train_95270 | mmlu_aux_train | A thermal insulator between a stove and a pan would make the pan get hot
A. slower
B. immediately
C. same speed
D. faster | A. slower | conceptual_physics | physics | ||
mmlu_aux_train_98299 | mmlu_aux_train | What may be likely to distance itself from humans?
A. meteors
B. lodgepole pines
C. snow monkeys
D. advanced robots | C. snow monkeys | astronomy | physics | ||
aquarat_40024 | deepmind/aqua_rat | In Richie's company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company? | A. 43.0 B. 45.5 C. 46.0 D. 49.0 E. 50.0 | A. 43.0 | In Richie's company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 50 and 51 employee will be each 43K. hence median = (43K+43k)/2=A | high_school_statistics | mathematics |
mmlu_aux_train_94061 | mmlu_aux_train | Which feature is a physical property of copper?
A. insulates heat
B. conducts electricity
C. strong magnetic force
D. liquid at room temperature | B. conducts electricity | high_school_chemistry | chemistry | ||
aquarat_16358 | deepmind/aqua_rat | What flavor of Network Address Translation can be used to have one IP address allow many users to connect to the global Internet? | A. NAT B. Static C. PAT D. Dynamic E. DD | D. Dynamic | Explanation:
Port Address Translation (PAT) allows a one-to-many approach to network address translation.
Answer: Option D | computer_security | computer_science |
allenai/sciq_573 | allenai/sciq | What term is used to describe a bond formed by the overlap of orbitals in an end-to-end fashion, with the electron density concentrated between the nuclei of the bonding atoms?
A. sigma bond
B. rna bond
C. beta bond
D. lattice bond | A. sigma bond | It is necessary to distinguish between the two types of covalent bonds in a C 2 H 4 molecule. A sigma bond (σ bond) is a bond formed by the overlap of orbitals in an end-to-end fashion, with the electron density concentrated between the nuclei of the bonding atoms. A pi bond (π bond) is a bond formed by the overlap of ... | college_chemistry | chemistry | |
mmlu_aux_train_76387 | mmlu_aux_train | China Science and Technology Museum was opened to the public in September 1988. But the second project was completed in May 2000. Its main task is to spread knowledge of science and technology among the public. The activities of China Science and Technology Museum include popular science exhibitions, Astro-vision film ... | B. Science exhibitions and experiment exhibitions. | astronomy | physics | ||
mmlu_aux_train_39519 | mmlu_aux_train | The next time you try for a high-ranking post, you could let your possible boss listen to a recommending phone call "made" by US President George W Bush or British Prime Minister Tony Blair. Of course, neither of them could really do that for you-you would just "borrow" their voices. AT & T labs will start selling spee... | B. to say what you want in another's voice | computer_security | computer_science | ||
allenai/sciq_9114 | allenai/sciq | When methane burns, what is produced along with carbon dioxide?
A. hydrogen
B. nitrogen
C. oxygen
D. water | D. water | Compounds can also react with oxygen, possibly creating oxides of more than one element. When methane burns, carbon dioxide and water are produced. | high_school_chemistry | chemistry | |
allenai/sciq_7686 | allenai/sciq | Magma can be created when temperature rises, pressure lowers, or what else is added?
A. water
B. air
C. dirt
D. sand | A. water | Magma can be created when temperature rises, pressure lowers, or water is added. | college_earth_science | earth_science | |
aquarat_1485 | deepmind/aqua_rat | Rohit paid $4,000 for 100 shares of stock X and $2,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/5 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been: | A. A Gain of 1.4 times as much B. A Gain of 3 times as much C. A Gain of 2 times as much D. A Gain of 1.5 times as much E. A Loss of 2 times as much | C. A Gain of 2 times as much | A = 4000; B = 2000; Profit = (3/5)*2000 = 1200
After prices are reversed:
A = 2000; B =4000; Profit = (3/5)*4000 = 2400
2400 --> Gain of 2 times 1200
Answer: C | college_mathematics | mathematics |
allenai/sciq_2351 | allenai/sciq | Thylakoids in a chloroplast contain what plant pigment?
A. dye
B. chlorophyll
C. ultramarine
D. melanin | B. chlorophyll | The structure of a chloroplast is shown in Figure below . The chloroplast is surrounded by two membranes. Inside the chloroplast are stacks of flattened sacs of membrane, called thylakoids . The thylakoids contain chlorophyll. Surrounding the thylakoids is a space called the stroma . The stroma is filled with watery ("... | high_school_biology | biology | |
math_352 | math_mc | What is the range of the function $$r(x) = \frac{1}{(1-x)^2}~?$$ Express your answer in interval notation. | D | math_Algebra | mathematics | ||
math_2144 | math_mc | Find the number of solutions to
\[\cos 4x + \cos^2 3x + \cos^3 2x + \cos^4 x = 0\]for $-\pi \le x \le \pi.$ | B | math_Precalculus | mathematics | ||
mmlu_aux_train_86645 | mmlu_aux_train | The place of the family computer may turn into a hot argue as your children get older. Whether you have one computer in the house or five, you should think the following things as you make a final decision. There is a certain number of danger if you allow your children to have a computer with Internet in their rooms wi... | B. parents | high_school_computer_science | computer_science | ||
aquarat_8862 | deepmind/aqua_rat | if QUESTION =DOMESTIC what will b code for RESPONSE ???? | A. OMESUCEM B. OMESICSM C. OMESICEM D. OMESISCM E. OMESISCN | C. OMESICEM | Q U E S T I O N
D O M E S T I C
we can see in the word'RESPONSE' only R and P are the letters whose code is not given, by having a look on options we can say code for R is O and code for P is S(bcz common in all options).now we can easily code the word 'RESPONSE'as 'OMESICEM'
ANSWER:C | formal_logic | mathematics |
allenai/sciq_11272 | allenai/sciq | Scanning acoustic microscopes use what kind of waves to scan a specimen?
A. radio waves
B. gamma waves
C. sound waves
D. heat waves | C. sound waves | Scanning acoustic microscopes use sound waves to scan a specimen. These microscopes are useful in biology and medical research. | college_physics | physics | |
allenai/sciq_3730 | allenai/sciq | What type of energy travels through matter in wave form?
A. magnetic
B. sound
C. light
D. vibrational | B. sound | Sound is a form of energy that travels in waves through matter. The ability to sense sound energy and perceive sound is called hearing . The organ that we use to sense sound energy is the ear. Almost all the structures in the ear are needed for this purpose. Together, they gather sound waves, amplify the waves, and cha... | conceptual_physics | physics | |
aquarat_15672 | deepmind/aqua_rat | If the probability of rain on any given day in City X is 40%, what is probability that it rains on exactly 3 days in a 4 day period? | A. 16/25 B. 48/125 C. 96/625 D. 108/625 E. 132/625 | C. 96/625 | One possible way is rain-rain-rain-no rain.
The probability of this is 2/5*2/5*2/5*3/5 = 24/625
The number of possible ways is 4C3 = 4, so we multiply this by 4.
P(rain on exactly 3 days) = 4*24/625 = 96/625
The answer is C. | high_school_statistics | mathematics |
allenai/sciq_9353 | allenai/sciq | What is a mixture of metal with one or more other elements?
A. a metalloid
B. an alkali metal
C. a halloid
D. an alloy | D. an alloy | An alloy is a mixture of a metal with one or more other elements. The other elements may be metals, nonmetals, or both. An alloy is formed by melting a metal and dissolving the other elements in it. The molten solution is then allowed to cool and harden. Alloys generally have more useful properties than pure metals. Se... | high_school_chemistry | chemistry | |
math_268 | math_mc | Find the domain of the function $\frac{x+1}{x^2+6x+8}$. | D | math_Algebra | mathematics | ||
aquarat_20868 | deepmind/aqua_rat | Let the polynomials be:
P1(x)=3x2−7x+8,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)= | A. 2x2 + 11x - 7 B. -2x2 - 11x + 10 C. -2x2 - 11x + 6 D. 2x2 - 9x + 7 E. None of these | B. -2x2 - 11x + 10 | Solution:
P1(x)+P2(x)=(3x2−7x+8)+(−5x2−4x+2)=P1(x)+P2(x)=(3x2−7x+8)+(−5x2−4x+2)=
3x2−7x+8−5x2−4x+2=3x2−7x+8−5x2−4x+2=
−2x2−11x+10
Answer B | college_mathematics | mathematics |
math_623 | math_mc | How many integers between $100$ and $999$, inclusive, have the property that some permutation of its digits is a multiple of $11$ between $100$ and $999?$ For example, both $121$ and $211$ have this property.
$\mathrm{\textbf{(A)} \ }226\qquad \mathrm{\textbf{(B)} \ } 243 \qquad \mathrm{\textbf{(C)} \ } 270 \qquad \mat... | A | math_Counting & Probability | mathematics | ||
allenai/sciq_3410 | allenai/sciq | What are carbonated beverages pressurized with?
A. dioxide
B. hydrogen
C. helium
D. co2 | D. co2 | NaN3 is 1.847 g/cm . What is the volume of the gas produced compared to the solid reactant? Suggest a plausible reason to explain why skin burns can result from the inflation of an airbag during an automobile accident. Under basic conditions, the reaction of hydrogen peroxide (H 2O2) and potassium permanganate (KMnO4) ... | high_school_chemistry | chemistry | |
NLP4Education_199 | NLP4Education | Mean Square Error loss:
A. Minimizing the distance between the predicted point and the true point
B. Maximizing the probability of the correct class
C. Maximizing the accuracy
D. Minimizing the score of false classes when they are close, or bigger than, the score of the true class | A. Minimizing the distance between the predicted point and the true point | machine_learning | computer_science | ||
math_1536 | math_mc | Suppose that $A$ and $B$ are digits in base $d > 6$ such that $\overline{AB}_d + \overline{AA}_d = 162_d$. Find $A_d - B_d$ in base $d$. | C | math_Number Theory | mathematics | ||
mmlu_aux_train_69232 | mmlu_aux_train | There are two deaf men in a small village. One is Mr. White and the other is Mr. Black. They live near to each other. They are good friends. Mr. White and Mr. Black often talk together. They talk about all kinds of things. Sometimes they are worried about their hearing. But one thinks the other is much deafer. One day... | D. in the same village. | high_school_computer_science | computer_science | ||
math_1913 | math_mc | In right triangle $PQR$, we have $\angle Q = \angle R$ and $PR = 6\sqrt{2}$. What is the area of $\triangle PQR$? | B | math_Prealgebra | mathematics | ||
allenai/sciq_10290 | allenai/sciq | Does deforestation increase or decrease carbon dioxide levels around the world?
A. increase
B. eliminate
C. accelerate
D. decrease | A. increase | Jami Dwyer. Deforestation creates significant increases in carbon dioxide levels around the world . Public Domain. | college_biology | biology | |
allenai/sciq_4861 | allenai/sciq | Bond lengths are intermediate between covalent single bonds and what?
A. trivalent bonds
B. gravitational double bonds
C. covalent double bonds
D. wavefunction double bonds | C. covalent double bonds | Bond lengths are intermediate between covalent single bonds and covalent double bonds. | high_school_chemistry | chemistry | |
aquarat_30383 | deepmind/aqua_rat | The Simplistic language has only 2 unique values and 3 unique consonants. Every noun in Simplastic has the structure CVCVC, where C stands for a consonant and V stands for a vowel. How many different nouns are possible in Simplastic? | A. 9 B. 12 C. 36 D. 72 E. 108 | E. 108 | The nouns have fixed structure C-V-C-V-C. Now, each C can take 3 values (let's say X, Y or Z) and each V can take 2 values (let's say A or E), so there will be 3*2*3*2*3=108 nouns possible.
Answer: E. | college_mathematics | mathematics |
pythonio_456 | pythonio-mc | Program:
def harmonic_sum(n):
if n < 2:
return 1
else:
return 1 / n + (harmonic_sum(n - 1))
Input:
harmonic_sum(4)
Output: | A | code | computer_science | ||
mmlu_aux_train_1983 | mmlu_aux_train | The interior of Earth is made up of several physically different layers. The solid layer of Earth that moves over a viscous layer is called the
A. core.
B. crust.
C. asthenosphere.
D. atmosphere. | B. crust. | college_earth_science | earth_science | ||
allenai/sciq_506 | allenai/sciq | What kind of cells have positive cell potentials, and all the reduction reactions are reversible?
A. neutral cells
B. inhibited cells
C. new cells
D. galvanic cells | D. galvanic cells | Galvanic cells have positive cell potentials, and all the reduction reactions are reversible. The reaction at the anode will be the half-reaction with the smaller or more negative standard reduction potential. Reversing the reaction at the anode (to show the oxidation) but not its standard reduction potential gives: An... | college_chemistry | chemistry | |
NLP4Education_77 | NLP4Education | Let $f:\R^D\rightarrow\R$ be an $L$-hidden layer multi-layer perceptron (MLP) such that
\[
f(xv)=\sigma_{L+1}\big(\wv^\top\sigma_L(\Wm_L\sigma_{L-1}(\Wm_{L-1}\dots\sigma_1(\Wm_1xv)))\big),
\]
with $\wv\in\R^{M}$, $\Wm_1\in\R^{M\times D}$ and $\Wm_\ell\in\R^{M\times M}$ for $\ell=2,\dots, L$, and $\sigma_i$ for $i=1,\d... | D. $C_{g, \frac{1}{2}}$, $C_{h, 0}$, and $C_{q, 0}$ have the same accuracy as $C_{f, \frac{1}{2}}$ on $T$ | machine_learning | computer_science | ||
aquarat_72647 | deepmind/aqua_rat | P = {22, 24, 26, 28, 30, 32}
Q = {2, 24, 25, 26, 27, 28}
R = {4, 7, 10, 13, 16, 19}
If p is the standard deviation of set P, q is the standard deviation of set Q, and r is the standard deviation of set R, which of the following must be true? | A. p<q<r B. p<r<q C. q<r<p D. q<p<r E. r<q<p | B. p<r<q | P has difference by 2.
Q has difference of 22 between 2 and 24 and for other numbers we have difference by 1.
R has difference 3.
We need to take the SD as per the difference.
So Q > R > P. Option B has this set
ANSWER:B | high_school_statistics | mathematics |
math_1603 | math_mc | Suppose that $p$ is prime and $1007_p+306_p+113_p+125_p+6_p=142_p+271_p+360_p$. How many possible values of $p$ are there? | D | math_Number Theory | mathematics | ||
pythonio_644 | pythonio-mc | Program:
def test_three_equal(x,y,z):
result= set([x,y,z])
if len(result)==3:
return 0
else:
return (4-len(result))
Input:
test_three_equal(-1,-2,-3)
Output: | C | code | computer_science | ||
pythonio_278 | pythonio-mc | Program:
def largest_subset(a, n):
dp = [0 for i in range(n)]
dp[n - 1] = 1;
for i in range(n - 2, -1, -1):
mxm = 0;
for j in range(i + 1, n):
if a[j] % a[i] == 0 or a[i] % a[j] == 0:
mxm = max(mxm, dp[j])
dp[i] = 1 + mxm
return max(dp)
Input:
largest_subset([18, 1, 3, 6, 13, 17], 6)
Output: | B | code | computer_science | ||
mmlu_aux_train_32260 | mmlu_aux_train | During the 19th century, scientists found that when certain parts of the brain of a person were hurt, he would lose the power of doing certain things. And so people thought that each part of the brain does a different job. But modern research has discovered that this is not so, for it is not easy to show exactly what e... | B. if certain parts of his brain were hurt | high_school_biology | biology | ||
allenai/sciq_781 | allenai/sciq | What state occurs when the amount of solute dissolved exceeds the solubility?
A. polymerisation
B. supersaturation
C. alkalinity
D. density | B. supersaturation | supersaturated : When the amount of solute dissolved exceeds the solubility. Occurs when a solution is saturated and the temperature slowly drops. | high_school_chemistry | chemistry | |
mmlu_aux_train_22322 | mmlu_aux_train | People who eat at home most of the time have better nutrition than those who go out to eat , a recent study shows. Cornell University professors Lana Hall and Karen Bunch interviewed(,) 3900 people in the survey. "People who eat less than 30 percent of their food away from home eat the most nutritiously," they said. "I... | B. Eat at home as many times as possible | high_school_biology | biology | ||
mmlu_aux_train_25977 | mmlu_aux_train | The 9.2magnitude earthquake which caused the tsunami in the Indian Ocean on Boxing Day last year occurred at 7:58 a.m.,95 miles off the west coast of Aceh, Indonesia. Eighteen minutes later.10-metre high waves crashed the ashore along a 500----mile-long stretch of Aceh. Two hours later the tsunami hit Thailand and Mala... | D. The serious destruction caused by the great power of a tsunaml. | earth_science | earth_science | ||
math_1906 | math_mc | Rectangle $ABCD$ is 8 cm by 4 cm. $M$ is the midpoint of $\overline{BC}$ , and $N$ is the midpoint of $\overline{CD}$. What is the number of square centimeters in the area of region $AMCN$?
[asy]
draw((0,0)--(32,0)--(32,16)--(0,16)--cycle);
draw((0,16)--(16,0)--(32,8)--cycle);
label("$A$",(0,16),N);
label("$B$",(32,16... | D | math_Prealgebra | mathematics | ||
mmlu_aux_train_16053 | mmlu_aux_train | What's delicious to eat and comes in a variety of color1s? Eggplant! And no, it has nothing to do with chickens! This strangely named vegetable is, however, as versatile as an egg.It can be steamed, fried, and baked.It can be eaten by itself or combined with meats and other vegetables. Eggplant was first ... | C. appearance | high_school_biology | biology | ||
allenai/sciq_7113 | allenai/sciq | What is the 'stuff' that all things are made of?
A. minerals
B. metal
C. matter
D. plasma | C. matter | Living things are made of matter. In fact, matter is the “stuff” of which all things are made. Anything that occupies space and has mass is known as matter. Matter, in turn, consists of chemical substances. A chemical substance is a material that has a definite chemical composition. It is also homogeneous, so the same ... | high_school_physics | physics | |
NLP4Education_639 | NLP4Education | In ElGamal signature scheme, if we avoid checking that $0 \leq r < p$ then \ldots
A. a universal forgery attack is possible.
B. an existential forgery attack is avoided.
C. the secret key can be recovered.
D. it is necessary to affix a stamp to the message. | A. a universal forgery attack is possible. | computer_security | computer_science | ||
math_155 | math_mc | Compute the domain of the function $$f(x)=\frac{1}{\lfloor x^2-7x+13\rfloor}.$$ | C | math_Algebra | mathematics | ||
math_1722 | math_mc | A solid rectangular block is formed by gluing together $N$ congruent 1-cm cubes face to face. When the block is viewed so that three of its faces are visible, exactly $231$ of the 1-cm cubes cannot be seen. Find the smallest possible value of $N.$
| A | math_Number Theory | mathematics | ||
aquarat_54032 | deepmind/aqua_rat | Which is better investment, 12% stock at par with an income tax at the rate of 5paise per rupee or 14 2/7 % stock at 120 free from income tax | A. 12% B. 142/7 % C. Both are qually good D. cannot compared E. none of these | B. 142/7 % | Let the investment in each (100*120)
Income in first case = (12/100*100*120)=1440
Net income =(1440-5/100*1440)=1368
Income in second case=((100/2*20)*100*120)=1428.57
Clearly, 14 2/7 % stock at 120 is better
ANSWER B | college_mathematics | mathematics |
allenai/sciq_2783 | allenai/sciq | What type of air may get stuck on the windward side of a mountain range?
A. live air
B. maritime air
C. steady air
D. brisk air | B. maritime air | Maritime air may become stuck on the windward side of a mountain range. For this reason it is unable to bring cooler air farther inland. | college_earth_science | earth_science | |
aquarat_14591 | deepmind/aqua_rat | The probability that a visitor at the mall buys a pack of candy is 20%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy? | A. .343 B. .147 C. .189 D. .096 E. .027 | D. .096 | One case is: candy - candy - no candy
The probability is 1/5*1/5*4/5 = 4/125
There are 3 such cases, so we should multiply this probability by 3.
P(exactly 2 buy candy) = 4/125 * 3 = 12/125 = 0.096
The answer is D. | high_school_statistics | mathematics |
mmlu_aux_train_95899 | mmlu_aux_train | To prevent electric shock
A. masonry will come in handy
B. use all copper wire
C. aluminum should be useful
D. use all silver fillings | A. masonry will come in handy | electrical_engineering | engineering | ||
allenai/sciq_577 | allenai/sciq | The mass of the objects and the distance between them affect the strength of what universal force?
A. gravity
B. states of matter
C. motion
D. weight | A. gravity | All objects in the universe have a gravitational attraction to each other ( Figure below ). The strength of the force of gravity depends on two things. They are the mass of the objects and the distance between them. The greater the objects’ mass, the greater the force of attraction. As the distance between the objects ... | conceptual_physics | physics | |
NLP4Education_674 | NLP4Education | A Feistel scheme is used in…
A. DES
B. AES
C. FOX
D. CS-Cipher | A. DES | computer_security | computer_science | ||
aquarat_61332 | deepmind/aqua_rat | Which of the following can be a perimeter t of a triangle inscribed in a circle of radius 1?
I. 0.001
II. 0.010
III. 0.100 | A. I only B. III only C. II and III only D. I, II, and III E. Not I, II, or III | D. I, II, and III | Yes,the length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
But how do you use the above property to solve the question?
The lower limit of the perimeter of an inscribed triangle in a circle of ANY radius is 0: t>0.
Answer... | college_mathematics | mathematics |
math_1329 | math_mc | Let $\omega$ be a nonreal root of $x^3 = 1.$ Compute
\[(1 - \omega + \omega^2)^4 + (1 + \omega - \omega^2)^4.\] | A | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_64273 | mmlu_aux_train | The most frightening words in the English language are, "Our computer is down." You hear it more and more when you are on business. The other day I was at the airport waiting for a ticket to Washington and the girl in the ticket office said, "I'm sorry, I can't sell you a ticket. Our computer is down." "If your compute... | A. When the Computer Is Down | high_school_computer_science | computer_science | ||
aquarat_2677 | deepmind/aqua_rat | 40, 45, 50, 55, 65, 75, 75, 100, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 22.2, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores? | A. 1 B. 2 C. 3 D. 4 E. 5 | B. 2 | The average of {40, 45, 50, 55, 65, 75, 75, 100, 100, 100} is 70.5
1 standard deviation below the mean is 70.5 - 22.2 = 48.3. Hence there are two scores (40 and 45) more than 1 standard deviation below the mean.
Answer B. | high_school_statistics | mathematics |
allenai/sciq_11189 | allenai/sciq | Bacterial dna is contained in one circular chromosome, located where?
A. cytoplasm
B. mucus
C. neuron
D. cerebellum | A. cytoplasm | Bacteria lack many of the structures that eukaryotic cells contain. For example, they don't have a nucleus. They also lack membrane-bound organelles, such as mitochondria or chloroplasts. The DNA of a bacterial cell is also different from a eukaryotic cell. Bacterial DNA is contained in one circular chromosome, located... | college_biology | biology | |
mmlu_aux_train_2617 | mmlu_aux_train | What is the first step of the process in the formation of sedimentary rocks?
A. erosion
B. deposition
C. compaction
D. cementation | A. erosion | college_earth_science | earth_science | ||
mmlu_aux_train_58588 | mmlu_aux_train | Noise pollution in cities is causing out health to suffer, according to the World Health Organization. Recently, researchers at the Free University of Brussels in Beigium have developed an applocation: NoiseTube. It allows everyone who downloads it the ability to measure the amount of noise they are exposed to by trans... | A. The NoiseTube server analyzes noise information vis the Internet. | computer_security | computer_science | ||
mmlu_aux_train_2645 | mmlu_aux_train | Which statement accurately describes the neutrons in any element?
A. The number of neutrons equals the number of electrons.
B. Neutrons are found in a cloud around the nucleus.
C. The charge of a neutron is always negative.
D. Neutrons are more massive than electrons. | D. Neutrons are more massive than electrons. | high_school_chemistry | chemistry | ||
math_2079 | math_mc | Given that $(1+\sin t)(1+\cos t)=5/4$ and
$(1-\sin t)(1-\cos t)=\frac mn-\sqrt{k},$
where $k, m,$ and $n$ are positive integers with $m$ and $n$ relatively prime, find $k+m+n.$
| C | math_Precalculus | mathematics | ||
allenai/sciq_7177 | allenai/sciq | What is a three-dimensional anticline called?
A. volcano
B. cyclone
C. dome
D. cave | C. dome | In an anticline, rocks arch upward. A three-dimensional anticline is a dome. | college_geology | earth_science | |
NLP4Education_332 | NLP4Education | Consider a 3-gram language model. Select all possible ways we can compute the maximum likelihood of the word sequence:"time flies like an arrow" You will get a penalty for wrong ticks.
A. P(time flies like).P(an|flies like).P(arrow|like an)
B. P(time flies).P(like|flies).P(an|like).P(arrow|an)
C. P(time flies like).P(l... | A. P(time flies like).P(an|flies like).P(arrow|like an) | high_school_computer_science | computer_science | ||
mmlu_aux_train_2710 | mmlu_aux_train | Which of the following is a chemical property of matter?
A. density
B. boiling point
C. flammability
D. shape | C. flammability | high_school_chemistry | chemistry | ||
pythonio_818 | pythonio-mc | Program:
from itertools import groupby
def extract_elements(numbers, n):
result = [i for i, j in groupby(numbers) if len(list(j)) == n]
return result
Input:
extract_elements([0, 1, 2, 3, 4, 4, 4, 4, 5, 7],4)
Output: | C | code | computer_science | ||
mmlu_aux_train_38991 | mmlu_aux_train | Petroleumis a very important mineral. It gives us heat and light. It gives us power for our cars, planes, and ships. Also, it gives us power for machines of all kinds. How is petroleum formed? Scientists believe petroleum comes from the remains of plants and animals (Remains are what is left after a plant or animal has... | B. Over a very long period of time, under certain conditions, dead trees and bodies of animals were turned into petroleum under great pressure. | high_school_chemistry | chemistry | ||
mmlu_aux_train_99238 | mmlu_aux_train | To destroy embarrassing evidence you can
A. clobber it with a whale
B. post it on a social network
C. discard it in a rubbish bin
D. flick it into lava | D. flick it into lava | computer_security | computer_science | ||
allenai/sciq_4103 | allenai/sciq | Radiation can be absorbed or shielded by materials, particularly what material used to make protective aprons worn by x-ray administrators?
A. steel
B. lead
C. cotton
D. carbon | B. lead | Radiation can be absorbed or shielded by materials, such as the lead aprons dentists drape on us when taking x rays. Lead is a particularly effective shield compared with other materials, such as plastic or air. How does the range of radiation depend on material? Ionizing radiation interacts best with charged particles... | college_physics | physics | |
math_1233 | math_mc | Compute $\displaystyle \sum_{n=2}^\infty \sum_{k=1}^{n-1} \frac{k}{2^{n+k}}$. | C | math_Intermediate Algebra | mathematics | ||
aquarat_35921 | deepmind/aqua_rat | Which of the following is(are) true for a@b=b@a?
I. a@b=ab+ba
II. a@b=(a+b+1)(a-b)
III. a@b=(a/b)+(b/a) | A. only Ⅰ B. only Ⅱ C. only Ⅲ D. only ⅠⅢ E. only ⅡⅢ | D. only ⅠⅢ | -> If I. a@b=ab+ba, a@b=ab+ba=ba+ab=b@a (O).
If II. a@b=(a+b+1)(a-b), a@b=(a+b)(a-b)≠(b+a)/(b-a)=b@a (X).
If III.a@b=(a/b)+(b/a), a@b=(a/b)+(b/a)=(b/a)+(a/b)=b@a (O).
Thus, ⅠⅢ are the answers. Therefore, D is the answer. | college_mathematics | mathematics |
allenai/sciq_9521 | allenai/sciq | Organic and biochemical equations show the initial and final products of the equation, respectively known as the reactants and what else?
A. products
B. reactors
C. dividends
D. consumers | A. products | Note Organic and biochemical equations are frequently written showing only the organic reactants and products. In this way, we focus attention on the organic starting material and product, rather than on balancing complicated equations. Ethanol is oxidized in the liver to acetaldehyde:. | college_chemistry | chemistry | |
allenai/sciq_9125 | allenai/sciq | The value that occurs most often in a data set is called the?
A. type
B. median
C. mean
D. mode | D. mode | The mode is the most common value. It is the value that occurs most often. | high_school_statistics | mathematics |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.