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 |
|---|---|---|---|---|---|---|---|
NLP4Education_606 | NLP4Education | For a blockcipher $B:\{0,1\}^k\times \{0,1\}^n \rightarrow \{0,1\}^n$ that has decorrelation $Dec^q_{\| \cdot \|_{\infty}}(B,C^*)=d$ (from a perfect cipher $C^*$), the best advantage of \textit{any} distinguisher that makes $q$ queries is \ldots
A. bounded by $d/2$.
B. not related to $d$; we have to use the $a$-norm to... | A. bounded by $d/2$. | computer_security | computer_science | ||
mmlu_aux_train_59424 | mmlu_aux_train | About five states in Nigeria will experience a total eclipse of the sun on March 29, 2006, according to a forecast by the Ministry of Science and Technology this week. An eclipse occurs in one of two ways: when the moon passes between the earth and the sun so that all or part of the sun cannot be seen for a time, or... | C. provide information on a coming eclipse of the sun in Nigeria | astronomy | physics | ||
mmlu_aux_train_94399 | mmlu_aux_train | Which of these is the main contributor to the formation of hurricanes?
A. high barometric pressure
B. warm ocean air
C. calm ocean surface
D. dense surface air | B. warm ocean air | college_earth_science | earth_science | ||
aquarat_67892 | deepmind/aqua_rat | If x is real, find the maximum value of the expression -2x^2 + 9x + 11. | A. 12.125 B. 15.125 C. 18.125 D. 21.125 E. 24.125 | D. 21.125 | This is an equation of a downward facing parabola.
The maximum value is the top point of the parabola.
-2x^2+9x+11 = (-2x+11)(x+1)
The roots are 11/2 and -1.
The maximum value must be when x is halfway between these two points.
x = 2.25
The maximum value is -2(2.25)^2+9(2.25)+11 = 21.125
The answer is D. | college_mathematics | mathematics |
math_571 | math_mc | Nine people sit down at random seats around a round table. Four of them are math majors, three others are physics majors, and the two remaining people are biology majors. What is the probability that all four math majors sit in consecutive seats? | C | math_Counting & Probability | mathematics | ||
math_1161 | math_mc | Let $z$ be a complex number with $|z| = \sqrt{2}.$ Find the maximum value of
\[|(z - 1)^2 (z + 1)|.\] | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_95520 | mmlu_aux_train | Rocket engines can lift rockets because
A. of how much fuel they use
B. of how fast they are
C. of the power the hit the ground with
D. of how tall they are | C. of the power the hit the ground with | astronomy | physics | ||
math_840 | math_mc | A circle is inscribed in a square, then a square is inscribed in this circle, and finally, a circle is inscribed in this square. What is the ratio of the area of the smaller circle to the area of the larger square? | D | math_Geometry | mathematics | ||
NLP4Education_537 | NLP4Education | The Kerckhoff's principle is not followed when security requires that...
A. the security of a cryptosystem relies on the secrecy of the encryption algorithm.
B. the key of the cryptosystem is kept secret.
C. only the initialization vector is kept secret.
D. the cryptosystem is publicly documented. | A. the security of a cryptosystem relies on the secrecy of the encryption algorithm. | computer_security | computer_science | ||
mmlu_aux_train_87103 | mmlu_aux_train | In a Police Mess , an officer wanted to get some fresh vegetables. He was so pleased with his mushrooms that he decided to share them. When their breakfast arrived the next day, each officer found some mushrooms on his plate. "Try the dog with a piece first." Suggested one cautious officer who was afraid that the " mus... | B. Mushrooms | high_school_computer_science | computer_science | ||
mmlu_aux_train_80629 | mmlu_aux_train | Not long ago, I opened an interesting e-mail from Jennifer, a friend of mine. "I've realized I want to be around people who make me happy," she wrote, "I've been seeing how I feel after communicating with different people and making a mental list of who I feel good about. And you're on my list." Then she invited me -- ... | C. 12 | high_school_statistics | mathematics | ||
aquarat_66404 | deepmind/aqua_rat | If f(x)= 5x^2- 2x+6 and g(y)= 3y-3, then g(f(x)) | A. 82x^2-9x+38 B. 15x^2-6x+15 C. 58x^2-4x+58 D. 87x^2-5x+96 E. 98x^2-7x+94 | B. 15x^2-6x+15 | g(f(x))=3(5x^2-2x+6)-3
=15x^2-6x+18-3
=15x^2-6x+15
the answer is B | college_mathematics | mathematics |
pythonio_478 | pythonio-mc | Program:
def add_dict_to_tuple(test_tup, test_dict):
test_tup = list(test_tup)
test_tup.append(test_dict)
test_tup = tuple(test_tup)
return (test_tup)
Input:
add_dict_to_tuple((4, 5, 6), {"MSAM" : 1, "is" : 2, "best" : 3} )
Output: | C | code | computer_science | ||
mmlu_aux_train_36728 | mmlu_aux_train | Wouldn't it be wonderful to travel to a foreign country without having to worry about the headache of communicating in a different language? In a recentWall Street journalarticle, technology policy expert Alec Ross argued that, within a decade or so. We'll be able to communicate with one another via small earpieces wit... | A. Proper translation can be tough for humans. | high_school_computer_science | computer_science | ||
aquarat_18205 | deepmind/aqua_rat | Some of the workers at a hedge fund are analysts; the others are not analysts. There are a total of 2x/3 analysts at the hedge fund. A total of x hedge fund workers have an MBA. Furthermore, x/3 analysts have an MBA, y/4 of the hedge fund workers are neither analysts nor have an MBA, and 60 workers are not analysts. If... | A. 45 B. 54 C. 60 D. 75 E. 80 | B. 54 | AnalystsNot AnalystsTotal
MBAx/32x/3x
No MBAy/4
Total2x/350y
We are asked for the value of x.
From the table: 2x/3 = y - 60
y - 60 + (y/4) = 60
5y/4 = 120
y = 96
2x/3 = 96 - 60 = 36
x = 108/2 = 54
Answer: B | college_mathematics | mathematics |
mmlu_aux_train_16635 | mmlu_aux_train | A recent survey made by BUPA, an international healthcare provider, shows that 54 percent of Chinese people aged between 45 and 54 consider themselves old, while 28 percent say that the thought of getting old upsets them. 25 percent are afraid of getting old, and a third worry about life in old age. BUPA made the surve... | B. 60 years old | high_school_statistics | mathematics | ||
mmlu_aux_train_22915 | mmlu_aux_train | It is often necessary to release a fish, that is, set it free after catching, because it is too small, or you just don't want to take it home to eat. In some cases, releasing fish is a good measure that will help keep fish variety and build their population size. The Department of Game and Inland Fisheries (DGIF) encou... | C. don't want to have it as food | high_school_biology | biology | ||
math_1150 | math_mc | Let $a,$ $b,$ $c,$ $z$ be complex numbers such that $|a| = |b| = |c| > 0$ and
\[az^2 + bz + c = 0.\]Find the largest possible value of $|z|.$ | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_96678 | mmlu_aux_train | Due to camouflage, you are less likely to be able to see a polar bear in
A. a church
B. the zoo
C. alaska
D. africa | C. alaska | high_school_biology | biology | ||
mmlu_aux_train_93088 | mmlu_aux_train | Hydrogen is located on the left side of the periodic table in the same column as the alkali metals, but it has characteristics of a nonmetal. Which of the following is a physical property of hydrogen?
A. Hydrogen can bond to itself.
B. Hydrogen makes positive ions.
C. Hydrogen is a gas at room temperature.
D. Hydrogen... | C. Hydrogen is a gas at room temperature. | high_school_chemistry | chemistry | ||
pythonio_9 | pythonio-mc | Program:
def count_ways(n):
A = [0] * (n + 1)
B = [0] * (n + 1)
A[0] = 1
A[1] = 0
B[0] = 0
B[1] = 1
for i in range(2, n+1):
A[i] = A[i - 2] + 2 * B[i - 1]
B[i] = A[i - 1] + B[i - 2]
return A[n]
Input:
count_ways(2)
Output: | B | code | computer_science | ||
aquarat_27682 | deepmind/aqua_rat | The function F(n) is defined as the product of all the consecutive positive integers between 2 and n^2, inclusive, whereas the function G(n) is defined as the product of the squares of all the consecutive positive integers between 1 and n, inclusive. The exponent on 2 in the prime factorization of F(3)/G(3) is | A. 1 B. 2 C. 3 D. 4 E. 5 | C. 3 | F(3)/G(3)
=product(1 to 3 ^2) / 1.2^2.3^2
=1.2.3.4.5.6.7.8.9/1.4.9
=1.2.3.(2^2).5.(2.3).7.(2^3).9/1.(2^2).9
=1.(2^7).3.5.7.9/1.(2^2).9
Loof for 2^7/2^2=2^5 ----Exponent 3
Answer: C | college_mathematics | mathematics |
math_1747 | math_mc | The number 236! ends in how many zeros when expressed as an integer? | B | math_Number Theory | mathematics | ||
allenai/sciq_11264 | allenai/sciq | What is the smallest unit of a chemical element called?
A. nucleus
B. atom
C. droplet
D. cell | B. atom | An atom is the smallest unit of a chemical element . That is, an atom has all the properties of that element. All atoms of the same element have the same number of protons. | high_school_chemistry | chemistry | |
NLP4Education_147 | NLP4Education | Consider the following set of frequent 3-itemsets: {1, 2, 3}, {1, 2, 4}, {1, 2, 5}, {1, 3, 4}, {2, 3, 4}, {2, 3, 5}, {3, 4, 5}. Which one is not a candidate 4-itemset?
A. {1, 2, 4, 5}
B. {1, 3, 4, 5}
C. {2, 3, 4, 5}
D. {1, 2, 3, 4} | B. {1, 3, 4, 5} | college_computer_science | computer_science | ||
aquarat_49880 | deepmind/aqua_rat | list of salaries of 5 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,000, $43,000 | A. $28,000 B. $28,500 C. $30,200 D. $30,800 E. $35,500 | E. $35,500 | Ordering the data from least to greatest, we get:
$29,000, $31,000, $35,500, $40,000, $43,000
Since there is an odd number of items in the data set, we compute the median by taking the middle number
The median salary is $35,500.
Answer : E | high_school_statistics | mathematics |
math_2123 | math_mc | Find the sum of the values of $x$ such that $\cos^3 3x+ \cos^3 5x = 8 \cos^3 4x \cos^3 x$, where $x$ is measured in degrees and $100< x< 200.$
| A | math_Precalculus | mathematics | ||
allenai/sciq_1253 | allenai/sciq | Most molecular compounds that have a mass similar to water are in what state of matter at room temperature?
A. vapor
B. liquid
C. solid
D. gas | D. gas | The hydrogen bonding that occurs in water leads to some unusual, but very important properties. Most molecular compounds that have a mass similar to water are gases at room temperature. Because of the strong hydrogen bonds, water molecules are able to stay condensed in the liquid state. The Figure below shows how the b... | high_school_chemistry | chemistry | |
mmlu_aux_train_94242 | mmlu_aux_train | What is the approximate length of time it takes the Moon to complete one lunar cycle?
A. 14 days
B. 29 days
C. 180 days
D. 365 days | B. 29 days | astronomy | physics | ||
NLP4Education_553 | NLP4Education | The Tonelli algorithm is
A. a factoring algorithm.
B. a primality testing algorithm.
C. an algorithm for finding square roots.
D. an algorithm for testing quadratic residuosity. | C. an algorithm for finding square roots. | college_mathematics | mathematics | ||
math_26 | math_mc | Point $P$ lies on the line $x= -3$ and is 10 units from the point $(5,2)$. Find the product of all possible $y$-coordinates that satisfy the given conditions. | C | math_Algebra | mathematics | ||
math_1609 | math_mc | Square each integer $n$ in the range $1\le n\le 10$ and find the remainders when the squares are divided by $11$. Add up all the distinct results and call it $m$. What is the quotient when $m$ is divided by $11$? | D | math_Number Theory | mathematics | ||
math_1363 | math_mc | Let $a,$ $b,$ and $c$ be distinct real numbers. Simplify the expression
\[\frac{(x + a)^3}{(a - b)(a - c)} + \frac{(x + b)^3}{(b - a)(b - c)} + \frac{(x + c)^3}{(c - a)(c - b)}.\] | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_86304 | mmlu_aux_train | Gail Mirabella works as a dog trainer for a circus . She used to train her dogs to do _ when she was a kid. Finally, her hobby turned into her job. Several days ago, she talked to Time Magazine reporter, Cameron Young, about her love for dogs. Reporter: Did you always want to be a dog trainer in a circus? Mirabella: W... | D. she won a kid's dog show | high_school_biology | biology | ||
aquarat_57293 | deepmind/aqua_rat | How long is an IPv6 address? | A. 32 bits B. 128 bits C. 64 bits D. 128 bytes E. 28 bytes | B. 128 bits | An IPv6 address is 128 bits long.
Answer:B | computer_security | computer_science |
aquarat_50988 | deepmind/aqua_rat | A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes. He takes a break for five minutes after every ten minutes. How many lines of codes will he complete typing after an hour? | A. 450 lines B. 200 lines C. 350 lines D. 250 lines E. 150 lines | D. 250 lines | 5-think
5-type
5-break
5-type
5-think
5-break
5-type
5-type
5-break
5-think
5-type
5-break
so 5 times for 5 minutes SE types.
Total number of lines =250 lines
ANSWER:D | coding | computer_science |
allenai/sciq_7568 | allenai/sciq | What two types of hormones regulate mammalian reproduction?
A. tropic and subtropic
B. endorphins and adrenaline
C. tropic and sex
D. pheromones and enzymes | C. tropic and sex | 46.4 The interplay of tropic and sex hormones regulates mammalian reproduction. | college_biology | biology | |
math_1285 | math_mc | The graph of the rational function $\frac{p(x)}{q(x)}$ is shown below, with a horizontal asymptote of $y = 0$ and a vertical asymptote of $ x=-1 $. If $q(x)$ is quadratic, $p(2)=1$, and $q(2) = 3$, find $p(x) + q(x).$
[asy]
size(8cm);
import graph;
Label f;
f.p=fontsize(6);
real f(real x) {return (x-1)/((x-1)*(x+1)... | D | math_Intermediate Algebra | mathematics | ||
math_2083 | math_mc | Let $\mathbf{a},$ $\mathbf{b},$ $\mathbf{c},$ $\mathbf{d}$ be four distinct unit vectors in space such that
\[\mathbf{a} \cdot \mathbf{b} = \mathbf{a} \cdot \mathbf{c} = \mathbf{b} \cdot \mathbf{c} =\mathbf{b} \cdot \mathbf{d} = \mathbf{c} \cdot \mathbf{d} = -\frac{1}{11}.\]Find $\mathbf{a} \cdot \mathbf{d}.$ | B | math_Precalculus | mathematics | ||
pythonio_756 | pythonio-mc | Program:
from collections import Counter
def anagram_lambda(texts,str):
result = list(filter(lambda x: (Counter(str) == Counter(x)), texts))
return result
Input:
anagram_lambda(["recitals"," python"], "articles" )
Output: | B | code | computer_science | ||
math_948 | math_mc | Triangle $ABC$ has vertices at $A(5,8)$, $B(3,-2)$, and $C(6,1)$. The point $D$ with coordinates $(m,n)$ is chosen inside the triangle so that the three small triangles $ABD$, $ACD$ and $BCD$ all have equal areas. What is the value of $10m + n$? | C | math_Geometry | mathematics | ||
aquarat_5232 | deepmind/aqua_rat | An aircraft is flying at a height of 3000m from the ground at an average speed of 400 km/hr while descending. It has to travel 5 kms before it can touch down the runway and start operating its break system. It will take less than 10 seconds to reach the touch down point. How far it is from the touch down point if it ha... | A. 5 kms B. 4 kms C. 3 kms D. 6 kms E. none of these | B. 4 kms | answer is 4
simple Pythagoras theorem
ANSWER:B | conceptual_physics | physics |
mmlu_aux_train_56782 | mmlu_aux_train | After a confirmed rabies case in Parke County, Indiana, experts are urging caution if you find a bat in your home or office. "If you try to kill a bat, you are more likely to get bitten," said Joy O'Keefe, assistant professor of biology and director of Indiana State University's Centre for Bat Research, Outreach and ... | A. the biting by bats | high_school_biology | biology | ||
pythonio_540 | pythonio-mc | Program:
def sector_area(r,a):
pi=22/7
if a >= 360:
return None
sectorarea = (pi*r**2) * (a/360)
return sectorarea
Input:
sector_area(4,45)
Output: | B | code | computer_science | ||
allenai/sciq_1843 | allenai/sciq | What is a combination of two or more substances in any proportions called?
A. mix
B. structure
C. mixture
D. Combination | C. mixture | A mixture is a combination of two or more substances in any proportions. The substances in a mixture do not combine chemically, so they retain their physical properties. | high_school_chemistry | chemistry | |
math_1739 | math_mc | For a positive integer $p$, define the positive integer $n$ to be $p$-safe if $n$ differs in absolute value by more than $2$ from all multiples of $p$. For example, the set of $10$-safe numbers is $\{ 3, 4, 5, 6, 7, 13, 14, 15, 16, 17, 23, \ldots\}$. Find the number of positive integers less than or equal to $10,000$ w... | D | math_Number Theory | mathematics | ||
pythonio_585 | pythonio-mc | Program:
def Diff(li1,li2):
return (list(list(set(li1)-set(li2)) + list(set(li2)-set(li1))))
Input:
(Diff([10, 15, 20, 25, 30, 35, 40], [25, 40, 35]))
Output: | A | code | computer_science | ||
aquarat_15132 | deepmind/aqua_rat | In Town X, 64 percent of the population are employed, and 55 percent of the population are employed males. What percent of the employed people in Town X are females? | A. 14% B. 25% C. 32% D. 40% E. 52% | A. 14% | We are asked to find the percentage of females in employed people.
Total employed people 64%, out of which 55 are employed males, hence 9% are employed females.
(employed females)/(total employed people)=9/64=14%
Answer: A. | high_school_statistics | mathematics |
aquarat_43484 | 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)(a-b-1)
III. a@b=(a/b)+(b/a) | A. only Ⅰ B. only Ⅱ C. only Ⅲ D. only ⅠⅢ E. only ⅡⅢ | E. only ⅡⅢ | -> If I. a@b=ab+ba, a@b=ab+ba=ba+ab=b@a (O).
If II. a@b=(a+b)(a-b), a@b=(a+b)(a-b-1)≠(b+a)/(b-a)=b@a (O).
If III.a@b=(a/b)+(b/a), a@b=(a/b)+(b/a)=(b/a)+(a/b)=b@a (X).
Thus, ⅠⅢ are the answers. Therefore, E is the answer. | abstract_algebra | mathematics |
NLP4Education_73 | NLP4Education | Consider two fully connected networks, A and B, with a constant width for all layers, inputs and outputs.
Network A has depth $3L$ and width $H$, network B has depth $L$ and width $2H$.
Everything else is identical for the two networks and both $L$ and $H$ are large.
In this case, performing a single iteration of... | A. True, because number of multiplications is linear in depth and quadratic in width. | college_computer_science | computer_science | ||
NLP4Education_135 | NLP4Education | When using bootstrapping in Random Forests, the number of different data items used to construct a single tree is:
A. The same as the size of the training data set
B. Smaller than the size of the training data set with high probability
C. Of order square root of the size of the training set with high probability
D. May... | B. Smaller than the size of the training data set with high probability | machine_learning | computer_science | ||
allenai/sciq_9394 | allenai/sciq | Chemical reactions either require or release what?
A. energy
B. light
C. enzymes
D. electricity | A. energy | Chemical reactions either require energy or release energy. The amount of energy needed or released depends upon the structure of the molecules that are involved in the reaction. Some reactions need to be heated for long periods of time in order for change to take place. Other reactions release energy, allowing heat to... | high_school_chemistry | chemistry | |
mmlu_aux_train_98700 | mmlu_aux_train | Which are likeliest to rely on nonrenewable resources?
A. windmills
B. dams
C. solar panels
D. cell phones | D. cell phones | high_school_physics | physics | ||
allenai/sciq_7329 | allenai/sciq | Metals, metalloids, and nonmetals are the different classes of what?
A. elements
B. ions
C. compounds
D. structures | A. elements | The classes of elements are metals, metalloids, and nonmetals. They are color-coded in the table. Blue stands for metals, orange for metalloids, and green for nonmetals. You can read about each of these three classes of elements later in the chapter, in the lesson "Classes of Elements. ". | high_school_chemistry | chemistry | |
mmlu_aux_train_70530 | mmlu_aux_train | We live in the computer age. People use computers to do much of their work. But few people know how to look after them. Remember the following when you use your computer: 1.Keep your computer in a cool, dry room. Too much or too little heat is bad for computers. Damp is also bad for them. 2.Do not let people smoke nea... | B. help | high_school_computer_science | computer_science | ||
mmlu_aux_train_5499 | mmlu_aux_train | What is freedom? It seems like such a simple question. Freedom is being able to do what you want to do. Allow me to explain it. I'm tired of working for a living. I'd rather collect taxes. So that's what I'm going to do: collect a kind of tax. You are ordered to estimate your income from the past 12 months, and write m... | D. limited | formal_logic | mathematics | ||
allenai/sciq_7801 | allenai/sciq | As the temperature of water decreases what happens to the speed of the water molecules?
A. slow down
B. evaporate
C. move faster
D. begin to boil | A. slow down | In the liquid state, the hydrogen bonds of water can break and reform as the molecules flow from one place to another. When water is cooled, the molecules begin to slow down. Eventually, when water is frozen to ice, the hydrogen bonds become permanent and form a very specific network (see Figure below ). | high_school_chemistry | chemistry | |
aquarat_53118 | deepmind/aqua_rat | John throws a coin until a series of five consecutive heads or three consecutive tails appears. What is the probability that the game will end after the sixth throw? | A. 1/32 B. 2/16 C. 3/16 D. 7/16 E. 9/16 | A. 1/32 | Let's consider the routes that would lead to ending the game on the fourth toss. In order to be a win at that point, tosses #2#3#4 would all have to be the same, either H or T, and in order for the game NOT to end on the third toss, the first toss would have to be different from the other four. Thus, the only two possi... | college_mathematics | mathematics |
mmlu_aux_train_96632 | mmlu_aux_train | A carbonated beverage contains dissolved what?
A. steel
B. plastids
C. plastic
D. carbonic anhydride | D. carbonic anhydride | high_school_chemistry | chemistry | ||
mmlu_aux_train_98355 | mmlu_aux_train | After seeing her give birth, the zookeepers discovered that Harry the ____ was actually a girl.
A. hen
B. hotcake
C. healfish
D. hare | D. hare | high_school_biology | biology | ||
mmlu_aux_train_94638 | mmlu_aux_train | Paleontologists are scientists who study evidence of past life on Earth. Which method do paleontologists most likely use to determine the forms of life that existed millions of years ago?
A. examine current species of plants and animals
B. research past species in the library
C. interview older scientists
D. examine f... | D. examine fossils records | high_school_biology | biology | ||
aquarat_37348 | deepmind/aqua_rat | Fry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous and selfish (especially the captain).
The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go “Aye”, the loot is divide... | A. 98 B. 77 C. 55 D. 39 E. 82 | A. 98 | A
98 Coins
The captain says he will take 98 coins, and will give one coin to the third most senior pirate and another coin to the most junior pirate. He then explains his decision in a manner like this…
If there were 2 pirates, pirate 2 being the most senior, he would just vote for himself and that would be 50% of the ... | formal_logic | mathematics |
mmlu_aux_train_66986 | mmlu_aux_train | It's 10 pm. You may not know where your child is, but the chip does. The chip will also know if your child has fallen and needs immediate help. Once doctors arrive, the chip will also be able to tell them which drugs are not suitable for little Johnny or Janie. At the hospital, the chip will tell doctors his or her co... | D. Cautious. | computer_security | computer_science | ||
mmlu_aux_train_32897 | mmlu_aux_train | The oddness of life in space never quite goes away. Here are some examples. First consider something as simple as sleep. Its position presents its own challenges. The main question is whether you want your arms inside or outside the sleeping bag. If you leave your arms out, they float free in zero gravity, often giving... | A. Deciding on a proper sleep position | astronomy | physics | ||
aquarat_19303 | deepmind/aqua_rat | A will was written such that an estate would be divided among five beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 10% of another's amount. If one of the beneficiaries received $10,000, what is the smallest possible range between t... | A. $3996 B. $3395 C. $2892 D. $3736 E. $23436 | B. $3395 | 1st - 10,000.
2nd - 0.9*10,000 = 9000
3rd - 0.9*9,000 = 8,100
4th - 0.9*8,100 = ~7,290
5th - 0.9*7,290 = ~6,561
Range = 10,000 - 6,561 = 3,439.
Answer: B. | college_mathematics | mathematics |
allenai/sciq_7889 | allenai/sciq | Athletes such as swimmers and bicyclists wear body suits in competition to minimize what forces?
A. rolling forces
B. drag forces
C. activity forces
D. natural forces | B. drag forces | 5.2 Drag Forces 5. Athletes such as swimmers and bicyclists wear body suits in competition. Formulate a list of pros and cons of such suits. Two expressions were used for the drag force experienced by a moving object in a liquid. One depended upon the speed, while the other was proportional to the square of the speed. ... | conceptual_physics | physics | |
mmlu_aux_train_93993 | mmlu_aux_train | A student combined rice cereal with melted marshmallows. Which best describes what the student made?
A. an atom
B. a mixture
C. a molecule
D. an element | B. a mixture | high_school_chemistry | chemistry | ||
mmlu_aux_train_98910 | mmlu_aux_train | What do white blood cells allow to stay in the body?
A. viruses
B. oxygen
C. parasites
D. bacteria | B. oxygen | high_school_biology | biology | ||
NLP4Education_823 | NLP4Education | Which sets are countable (Multiple answers can be correct):
A. The set of real numbers containing at least 100 3's in their decimal representation
B. The set of all infinite sequences of 0's and 1's
C. The set of natural numbers containing at least one 3 in their decimal representation
D. \(U-C\) with \(U\) an uncounta... | C. The set of natural numbers containing at least one 3 in their decimal representation | college_mathematics | mathematics | ||
mmlu_aux_train_2485 | mmlu_aux_train | Earth makes a complete revolution around the Sun about once every
A. day
B. year
C. season
D. minute | B. year | astronomy | physics | ||
allenai/sciq_10421 | allenai/sciq | Experiments have shown that acceleration is exactly inversely proportional to mass, just as it is exactly linearly proportional to what?
A. net external force
B. net internal force
C. speed
D. kinetic energy | A. net external force | where m is the mass of the system. Experiments have shown that acceleration is exactly inversely proportional to mass, just as it is exactly linearly proportional to the net external force. | conceptual_physics | physics | |
NLP4Education_322 | NLP4Education | Given this multiple choice exam question: Given the following data structure: enum IntSet:
case Empty
case NonEmpty(x: Int, l: IntSet, r: IntSet)
And the following lemmas, holding for all x: Int, xs: List[Int], ys: List[Int], l: IntSet and r: IntSet:
(SizeNil) nil.size === 0
(SizeCons) (x :: xs).size === xs.size + ... | D. ToListEmpty, SizeNil, TreeSizeEmpty | college_computer_science | computer_science | ||
NLP4Education_471 | NLP4Education | Let $n$ be any positive integer. Three of the following assertions are equivalent. Tick the remaining one.
A. $\mathbb{Z}_n$ is a field.
B. $\varphi(n) = n - 1$, where $\varphi$ denotes the Euler totient function.
C. $n$ is a prime power.
D. Any element $x \in \mathbb{Z}_n \setminus \{0\}$ is invertible. | C. $n$ is a prime power. | abstract_algebra | mathematics | ||
math_632 | math_mc | I have a bag with $6$ marbles numbered from $1$ to $6.$ Mathew has a bag with $12$ marbles numbered from $1$ to $12.$ Mathew chooses one marble from his bag and I choose two from mine. In how many ways can we choose the marbles (where the order of my choices does matter) such that the sum of the numbers on my marbles e... | A | math_Counting & Probability | mathematics | ||
aquarat_18625 | deepmind/aqua_rat | If f(x)= 2x^2- 3x+5 and g(y)= 2y-4, then g(f(x)) | A. 7x^2+45x+9 B. 9x^2-15x+4 C. 4x^2-6x+6 D. 8x^2-9x+6 E. 9x^2+79x+78 | C. 4x^2-6x+6 | g(f(x)) = 2(f(x)) -4
=2(2x^2-3x+5)-4
=4x^2-6x+10-4
=4x^2-6x+6
the answer is C | college_mathematics | mathematics |
allenai/sciq_8765 | allenai/sciq | Free atoms are spherical in shape, so the relative sizes of the elements can be compared by looking at each atom's atomic what?
A. weight
B. radius
C. angles
D. axis | B. radius | One important characteristic that determines the way in which elements behave is the total size of each atom. Free atoms are spherical in shape, so the relative sizes of the elements can be compared by looking at each atom's atomic radius , which is the distance from an atom's nucleus to the electrons in the outermost ... | high_school_chemistry | chemistry | |
aquarat_59485 | deepmind/aqua_rat | If f(x)=5x and g(y)=4y-8 then g(f(x)) | A. 87x-7 B. 98x-8 C. 58x-9 D. 20x-8 E. 96x-7 | D. 20x-8 | g(f(x))=4(5x)-8 = 20x-8
Answer is D | college_mathematics | mathematics |
aquarat_51479 | deepmind/aqua_rat | A chemical supply company has 60 liters of a 40% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution? | A. 12 B. 15 C. 20 D. 24 E. 30 | A. 12 | 60 liters of a 40% HNO3 solution means HNO3 = 24 liters in 60 liters of the solution.
Now, let x be the pure HNO3 added.
As per question,
24 + x = 50% of (60 + x)
or x =12. Hence, A | high_school_chemistry | chemistry |
aquarat_90509 | deepmind/aqua_rat | Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=16, what is the maximum value of y for which f(x,y)=0? | A. 5 B. 10 C. 15 D. 20 E. 25 | B. 10 | The question is finding y such that (16-y)! is a multiple of 16. That means we need to have 2^4 in (16-y)!
6! is the smallest factorial number with 2^4 as a factor.
16-y = 6
y = 10
The answer is B. | college_mathematics | mathematics |
mmlu_aux_train_66173 | mmlu_aux_train | If you ask some people, "How did you learn English so well?" you may get a surprising answer: "In my sleep!" These are people who have taken part in one of the recent experiments to test "the learn while you sleep" method , which is now being tried in several countries, and with several subjects. English is among th... | A. in the night time | high_school_computer_science | computer_science | ||
allenai/sciq_9438 | allenai/sciq | Unlike pure substances, mixtures have a what?
A. unique composition
B. efficient composition
C. complex composition
D. variable composition | D. variable composition | When two or more pure substances are combined together, a mixture is formed. Unlike pure substances, mixtures have a variable composition. Variable composition indicates that the relative proportions of the mixtures components may vary, and they can be separated by physical methods. There are two main types of mixtures... | high_school_chemistry | chemistry | |
pythonio_363 | pythonio-mc | Program:
def find_Points(l1,r1,l2,r2):
x = min(l1,l2) if (l1 != l2) else -1
y = max(r1,r2) if (r1 != r2) else -1
return (x,y)
Input:
find_Points(5,10,1,5)
Output: | B | code | computer_science | ||
math_1249 | math_mc | Let $z$ and $w$ be complex numbers such that $|z + 1 + 3i| = 1$ and $|w - 7 - 8i| = 3.$ Find the smallest possible value of $|z - w|.$ | B | math_Intermediate Algebra | mathematics | ||
pythonio_56 | pythonio-mc | Program:
def min_length(list1):
min_length = min(len(x) for x in list1 )
min_list = min((x) for x in list1)
return(min_length, min_list)
Input:
min_length([[1], [5, 7], [10, 12, 14,15]])
Output: | A | code | computer_science | ||
math_2058 | math_mc | A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as shown. [asy]
draw((0,0)--(9,0)--(9,9)--(0,9)--(0,0));
fill((1,1)--(2,1)--(2,2)--(1,2)--cycle,gray(.8));
fill((4,1)--(5,1)--(5,2)--(4,2)--cycle,gray(.8));
fill((7,1)--(8,1)--(8,2)--(7,2)--cy... | B | math_Prealgebra | mathematics | ||
mmlu_aux_train_1941 | mmlu_aux_train | Scientists have measured the rate of growth of the Atlantic Ocean basin to be about 2 to 3 cm per year. This type of activity coincides with the formation of ridges on the ocean floor. What is the most likely cause of this activity?
A. erosion from tidal action
B. the deposition of sediment
C. the flow of continental ... | D. movement from tectonic plates | earth_science | earth_science | ||
math_99 | math_mc | The roots of the equation $x^2+kx+5 = 0$ differ by $\sqrt{61}$. Find the greatest possible value of $k$. | A | math_Algebra | mathematics | ||
aquarat_9487 | deepmind/aqua_rat | From the given choices select the odd man out | A. 37, 14, 19, 8 B. 37, 14, 19, 0 C. 37, 14, 19, 2 D. 37, 14, 19, 7 E. 37, 14, 19, 1 | D. 37, 14, 19, 7 | Explanation:
All the numbers in those options are prime numbers except 14 in option 4.
Answer:D | formal_logic | mathematics |
aquarat_25973 | deepmind/aqua_rat | Four of the following five are alike in a certain way and so form a group. which one does not belong to that group? | A. Tooth B. Chin C. Nose D. Eye E. Hand | B. Chin | All others have two vowels each
Answer :B | formal_logic | mathematics |
mmlu_aux_train_57525 | mmlu_aux_train | Some Chinese new-rich like eating shark fin soup because they think it shows their class. However, for the Chinese NBA idol Yao Ming, doing so is unacceptable as the practice has led to the overfishing of sharks. When Yao and his wife Ye Li got married in 2007, they publicly announced that they would not allow shark fi... | D. it can show their status | high_school_biology | biology | ||
pythonio_190 | pythonio-mc | Program:
import re
def find_adverbs(text):
for m in re.finditer(r"\w+ly", text):
return ('%d-%d: %s' % (m.start(), m.end(), m.group(0)))
Input:
find_adverbs("Clearly, he has no excuse for such behavior.")
Output: | B | code | computer_science | ||
allenai/sciq_9016 | allenai/sciq | The carbon atoms are bonded together, with each carbon also being bonded to two of what kind of atoms?
A. calcium
B. ions
C. helium
D. hydrogen | D. hydrogen | Some molecules are not able to satisfy the octet rule by making only single covalent bonds between the atoms. Consider the compound ethene, which has a molecular formula of C 2 H 4 . The carbon atoms are bonded together, with each carbon also being bonded to two hydrogen atoms. | high_school_chemistry | chemistry | |
math_1905 | math_mc | For how many three-digit positive integers is the sum of the digits equal to $5?$ | D | math_Prealgebra | mathematics | ||
allenai/sciq_8529 | allenai/sciq | What kind of parasites are nearly all ticks that live on the body surfaces of reptiles or mammals?
A. ectoparasites
B. bloodsucking
C. helminths
D. protozoa | B. bloodsucking | high_school_biology | biology | ||
math_118 | math_mc | If $x^2+bx+9$ has two non-real roots, find all real possible values of $b$. Express your answer in interval notation. | A | math_Algebra | mathematics | ||
mmlu_aux_train_82921 | mmlu_aux_train | Mip Mip, a playful robot, was developed by a Canadian toy maker named Wowwee. It stands 19 cm tall. You can control it just with your gestures or a smart phone. Mip can run, balance and dance on two wheels. It can also bring you a bottle of water. Android Wear Google is developing a smart watch called Android Wear. T... | B. tell you how to get to some places | high_school_computer_science | computer_science | ||
pythonio_191 | pythonio-mc | Program:
import re
def find_adverbs(text):
for m in re.finditer(r"\w+ly", text):
return ('%d-%d: %s' % (m.start(), m.end(), m.group(0)))
Input:
find_adverbs("Please handle the situation carefuly")
Output: | B | code | computer_science | ||
math_2050 | math_mc | In the diagram, square $ABCD$ has sides of length $4,$ and $\triangle ABE$ is equilateral. Line segments $BE$ and $AC$ intersect at $P.$ Point $Q$ is on $BC$ so that $PQ$ is perpendicular to $BC$ and $PQ=x.$ [asy]
pair A, B, C, D, E, P, Q;
A=(0,0);
B=(4,0);
C=(4,-4);
D=(0,-4);
E=(2,-3.464);
P=(2.535,-2.535);
Q=(4,-2.5... | B | math_Prealgebra | mathematics | ||
mmlu_aux_train_4523 | mmlu_aux_train | All the ponds in an area dried up during a drought. The population of which of the following animals that live in the area is most affected by the drought?
A. deer
B. frog
C. hawk
D. squirrel | B. frog | high_school_biology | biology | ||
mmlu_aux_train_96188 | mmlu_aux_train | a switch turns something with a power source on because:
A. the circuit is opened
B. the light turns off
C. the insulation adds current
D. a piece of copper closes the circuit | D. a piece of copper closes the circuit | high_school_physics | physics |
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