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_93931 | deepmind/aqua_rat | the number of zeros at the end of product of prime numbers between 1 and 999999 | A. 1 B. 2 C. 3 D. 4 E. 5 | A. 1 | 1 zero at the end because multiplication of 2 and 5 leads to an answer which is a multiple of 10
ANSWER:A | college_mathematics | mathematics |
allenai/sciq_3901 | allenai/sciq | What are mars' moons thought to be?
A. common asteriods
B. captured asteroids
C. guerrillas asteroids
D. new asteriods | B. captured asteroids | Mars has two moons that are thought to be captured asteroids. | astronomy | physics | |
NLP4Education_66 | NLP4Education | Which of the following statements about the $\mathrm{SVD}$ of an $N \times D$ matrix $\mathbf{X}$ are correct?
A. We can compute the singular values of $\mathbf{X}$ by computing the eigenvalues of $\mathbf{X X}^{\top}$. This has complexity $O\left(D^{3}\right)$.
B. We can compute the singular values of $\mathbf{X}$ by ... | C. We can compute the singular values of $\mathbf{X}$ by computing the eigenvalues of $\mathbf{X}^{\top} \mathbf{X}$. This has complexity $O\left(D^{3}\right)$. | college_mathematics | mathematics | ||
aquarat_31006 | deepmind/aqua_rat | A 360 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ? | A. 57.6 sec B. 20.2 sec C. 31.8 sec D. 50.4 sec E. none of the above | A. 57.6 sec | Speed = 55 Km/hr
(to convert km/hr in to M/s)
= 55 x 5/18 M/s
Distance = 360 m + 520 m ( If questions is about train crossing a post you need to consider only the length of Train, )
= 880 m
Time = Distance / Speed
= 880 x 18 / (5 x 55)
= 57.6 sec
Ans is :A | high_school_physics | physics |
allenai/sciq_9849 | allenai/sciq | What is a byproduct from the combustion of fossil fuels like coal and gasoline?
A. nitrogen dioxide
B. carbon monoxide
C. alcohol
D. aluminum oxide | A. nitrogen dioxide | The brown color is from nitrogen dioxide gas. Nitrogen dioxide is a byproduct from the combustion of fossil fuels like coal and gasoline. | high_school_chemistry | chemistry | |
NLP4Education_291 | NLP4Education | Let $\mathcal{R}_{p}(f, \varepsilon)$ be the $\ell_{p}$ adversarial risk of a classifier $f: \mathbb{R}^{d} \rightarrow\{ \pm 1\}$, i.e.,
$$
\mathcal{R}_{p}(f, \varepsilon)=\mathbb{E}_{(\mathbf{x}, y) \sim \mathcal{D}}\left[\max _{\tilde{\mathbf{x}}:\|\mathbf{x}-\tilde{\mathbf{x}}\|_{p} \leq \varepsilon} \mathbb{1}_{\{... | B. $\mathcal{R}_{\infty}(f, \varepsilon) \leq \mathcal{R}_{2}(f, \sqrt{d}\varepsilon)$ | machine_learning | computer_science | ||
allenai/sciq_8351 | allenai/sciq | What is the disease where some alveoli of the lungs fill with fluid?
A. lyme disease
B. lung cancer
C. leukemia
D. pneumonia | D. pneumonia | Pneumonia is a disease in which some of the alveoli of the lungs fill with fluid so gas exchange cannot occur. Symptoms usually include coughing, chest pain, and difficulty breathing. Pneumonia may be caused by an infection or injury of the lungs. | clinical_knowledge | biology | |
pythonio_524 | pythonio-mc | Program:
def geometric_sum(n):
if n < 0:
return 0
else:
return 1 / (pow(2, n)) + geometric_sum(n - 1)
Input:
geometric_sum(8)
Output: | D | code | computer_science | ||
allenai/sciq_7874 | allenai/sciq | Since eddy currents and magnetic damping occur only in conductors, recycling centers can use these to separate metals from other materials?
A. particles
B. magnets
C. cranes
D. alloys | B. magnets | Since eddy currents and magnetic damping occur only in conductors, recycling centers can use magnets to separate metals from other materials. Trash is dumped in batches down a ramp, beneath which lies a powerful magnet. Conductors in the trash are slowed by magnetic damping while nonmetals in the trash move on, separat... | college_physics | physics | |
aquarat_56787 | deepmind/aqua_rat | what is the remainder when 30^72^87 is divided by 11. | A. 5 B. 7 C. 1 D. 3 E. 4 | A. 5 | let us take N=72^87
eq is..30^N/11=8^N/11
here cyclicity of 8 is 10
then N/10=72^87/10=2^87/10
here cyclicity of 2 is
then 87%4=3(3rd cycle of 2)....i.e2^3%10=8(8th cycle of8)
therefore final ans is 8^8%11=5
ANSWER:A | college_mathematics | mathematics |
allenai/sciq_10030 | allenai/sciq | The two main types of phagocytic cells in the mammalian body are neutrophils and what other?
A. eukaryotes
B. macrophages
C. histones
D. leukocytes | B. macrophages | college_biology | biology | ||
pythonio_602 | pythonio-mc | Program:
def find_Sum(arr,n):
arr.sort()
sum = arr[0]
for i in range(0,n-1):
if (arr[i] != arr[i+1]):
sum = sum + arr[i+1]
return sum
Input:
find_Sum([12,10,9,45,2,10,10,45,10],9)
Output: | A | code | computer_science | ||
allenai/sciq_9496 | allenai/sciq | What is the active ingredient in cloves?
A. eugenol
B. thiamine
C. methyl
D. nicotine | A. eugenol | Eugenol, the active ingredient in cloves, has the formula C 10 H 12 O 2 . Eugenol is a molecular substance that does not dissociate into ions when dissolved in a solvent. What is the boiling point of a solution in which 0.144 g of eugenol is dissolved in 10.0 g benzene? The k b value for benzene is 2.53 °C/ m , and the... | college_chemistry | chemistry | |
aquarat_60548 | deepmind/aqua_rat | Prove that there exists infinitely many positive integers n such that 4n^2 + 1 is divisible both by 5 and 13. | A. 5 B. 6 C. 5|4n^2+ 1 and 13|4n^2+ 1 D. 3|4n^2+ 1 and 10|4n^2+ 1 E. 2|4n^2+ 1 and 1|4n^2+ 1 | C. 5|4n^2+ 1 and 13|4n^2+ 1 | For instance, all numbers n in the arithmetic progression 65k+56 (k = 0, 1, 2, ... ) have the desired property. Indeed, if n = 65k+56 with an integer k>=0, then n == 1 (mod 5) and n == 4 (mod 13), hence 4n^2+ 1 == o (mod 5) and 4n^2+ 1== 0 (mod 13). Thus, 5|4n^2+ 1 and 13|4n^2+ 1
Answer is C 5|4n^2+ 1 and 13|4n^2+ 1 | college_mathematics | mathematics |
pythonio_354 | pythonio-mc | Program:
def find_Min_Sum(a,b,n):
a.sort()
b.sort()
sum = 0
for i in range(n):
sum = sum + abs(a[i] - b[i])
return sum
Input:
find_Min_Sum([3,2,1],[2,1,3],3)
Output: | C | code | computer_science | ||
NLP4Education_238 | NLP4Education | Consider a binary classification problem with a linear classifier $f(\mathbf{x})$ given by
$$
f(\mathbf{x})= \begin{cases}1, & \mathbf{w}^{\top} \mathbf{x} \geq 0 \\ -1, & \mathbf{w}^{\top} \mathbf{x}<0\end{cases}
$$
where $\mathbf{x} \in \mathbb{R}^{3}$. Suppose that the weights of the linear model are equal to $\math... | D. None of the above | machine_learning | computer_science | ||
aquarat_29453 | deepmind/aqua_rat | A computer simulation of a 12 hour analog clock keeps perfect time while it is running, and
has two hands—an hour hand and a minute hand—both of which move continuously around
the 12 hour dial. (For example, at 2:30, the hour hand will be exactly halfway between 2 and
3.) Because of careless programming, the minute han... | A. 11 B. 12 C. 66 D. 132 E. 708 | D. 132 | A configuration of the hands is called “ambiguous” if you cannot use this broken clock to
distinguish the minute hand from the hour hand.
In the above diagram it must be the minute hand that is pointing to 6 and the hour hand that
is pointing midway between 2 and 3. (If the hour hand were to point to 6, the minute hand... | college_mathematics | mathematics |
math_1469 | math_mc | A positive real number $x$ is such that \[
\sqrt[3]{1-x^3} + \sqrt[3]{1+x^3} = 1.
\]Find $x^6.$ | B | math_Intermediate Algebra | mathematics | ||
math_374 | math_mc | The value of the expression \[(3^{1001}+4^{1002})^2-(3^{1001}-4^{1002})^2\]is $k\cdot12^{1001}$ for some positive integer $k$. What is $k$? | A | math_Algebra | mathematics | ||
aquarat_30476 | deepmind/aqua_rat | Given that A and B are events such that
X(A)= 0.25
X(B)=0.5
X(AnB)=0.5
find X (A|B) and X(A|B) | A. 1/2 B. 1/3 C. 3/2 D. 1/5 E. 1/7 | A. 1/2 | Here, A and B are events
X(A|B) = X(AnB)/X(B) = 0.5/0.5 = 1
X(A|B) = X(AnB)/X(A) = 0.5/0.25 = 1/2.
Answer is A | college_mathematics | mathematics |
math_1597 | math_mc | It is known that, for all positive integers $k$,
$1^2+2^2+3^2+\ldots+k^{2}=\frac{k(k+1)(2k+1)}6$.
Find the smallest positive integer $k$ such that $1^2+2^2+3^2+\ldots+k^2$ is a multiple of $200$.
| A | math_Number Theory | mathematics | ||
aquarat_52281 | deepmind/aqua_rat | I am five letter word. if you remove one, only two letters remain.
What word am I | A. I am phone B. I am table C. I am Water D. I am Stone E. None | D. I am Stone | Correct Answer : D
Stone is five letter word. If your remove one from stone(not 1letter) we will get St | formal_logic | mathematics |
allenai/sciq_10567 | allenai/sciq | What do convergent plate boundaries with trenches have?
A. caves
B. geysers
C. earthquakes
D. volcanoes | D. volcanoes | Volcanoes at divergent plate boundaries are in the East Pacific Rise. Convergent plate boundaries, where there are trenches, have volcanoes. Hotspot volcanoes are in chains in the middle of the ocean basin. | college_earth_science | earth_science | |
math_1339 | math_mc | A function $f$ is defined for all real numbers and satisfies $f(2+x)=f(2-x)$ and $f(7+x)=f(7-x)$ for all $x.$ If $f(0) = 0,$ what is the least number of roots $f(x)=0$ must have in the interval $-1000\leq x \leq 1000$? | D | math_Intermediate Algebra | mathematics | ||
NLP4Education_54 | NLP4Education | Which of the following statements are true?
A. Increasing the number of training examples always improves the prediction accuracy of a $k$-nearest-neighbor classifier.
B. A $k$-nearest-neighbor classifier is sensitive to outliers.
C. $k$-nearest-neighbors can only be used for classification, not regression.
D. Training... | B. A $k$-nearest-neighbor classifier is sensitive to outliers. | machine_learning | computer_science | ||
mmlu_aux_train_99171 | mmlu_aux_train | There are zero amphibians on
A. Mexico
B. Icebergs
C. England
D. Texas | B. Icebergs | high_school_biology | biology | ||
pythonio_4 | pythonio-mc | Program:
def similar_elements(test_tup1, test_tup2):
res = tuple(set(test_tup1) & set(test_tup2))
return (res)
Input:
similar_elements((1, 2, 3, 4),(5, 4, 3, 7))
Output: | D | code | computer_science | ||
math_2166 | math_mc | For each integer $n$ greater than 1, let $F(n)$ be the number of solutions of the equation $\sin x = \sin nx$ on the interval $[0, \pi]$. What is $\sum_{n=2}^{2007} F(n)$? | D | math_Precalculus | mathematics | ||
aquarat_26164 | deepmind/aqua_rat | A pair of prime numbers that can be expressed in the form {p, (p + 6)} is defined as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT | A. 11 B. 13 C. 17 D. 19 E. 23 | D. 19 | {x-6, x, x+6} all must be primes. Substitute options for x to check whether this will hold true. If x=19, then x+6=25, which is not a prime.
Answer: D | abstract_algebra | mathematics |
mmlu_aux_train_30080 | mmlu_aux_train | The earth is not the only body that travels around the sun. With it are eight other planets, fellow members of the sun's family. Two of them, Mercury and Venus, are nearer while the other six, namely Mars, Jupiter, Saturn, Uranus, Neptune and Pluto, also in their given order from the sun, are farther from the sun tha... | A. nine planets | astronomy | physics | ||
pythonio_669 | pythonio-mc | Program:
def div_of_nums(nums,m,n):
result = list(filter(lambda x: (x % m == 0 or x % n == 0), nums))
return result
Input:
div_of_nums([10,15,14,13,18,12,20],10,5)
Output: | B | code | computer_science | ||
pythonio_605 | pythonio-mc | Program:
from itertools import groupby
def pack_consecutive_duplicates(list1):
return [list(group) for key, group in groupby(list1)]
Input:
pack_consecutive_duplicates(['a', 'a', 'b', 'c', 'd', 'd'])
Output: | C | code | computer_science | ||
math_1600 | math_mc | The American Mathematics College is holding its orientation for incoming freshmen. The incoming freshman class contains fewer than $500$ people. When the freshmen are told to line up in columns of $23$, $22$ people are in the last column. When the freshmen are told to line up in columns of $21$, $14$ people are in the ... | D | math_Number Theory | mathematics | ||
allenai/sciq_3641 | allenai/sciq | A phase diagram plots temperature and what else?
A. pressure
B. movement
C. friction
D. power | A. pressure | Both temperature and pressure have an effect on the phase in which a given substance exists. A plot of temperature vs. pressure that indicates the states of matter present at each point is known as a phase diagram . Figure below shows the phase diagram for water. | high_school_chemistry | chemistry | |
allenai/sciq_4593 | allenai/sciq | The field of organic chemistry studies the structure and reactivity of compounds containing what element?
A. nitrogen
B. oxygen
C. carbon
D. hydrogen | C. carbon | Since then, the distinction between organic and inorganic compounds and reactions has blurred. Currently, the field of organic chemistry studies the structure and reactivity of nearly all carbon-containing compounds. Over twenty million organic compounds are known, ranging from very simple molecules to complex proteins... | high_school_chemistry | chemistry | |
math_764 | math_mc | Square $ABCD$ has center $O,\ AB=900,\ E$ and $F$ are on $AB$ with $AE<BF$ and $E$ between $A$ and $F, m\angle EOF =45^\circ,$ and $EF=400.$ Given that $BF=p+q\sqrt{r},$ where $p,q,$ and $r$ are positive integers and $r$ is not divisible by the square of any prime, find $p+q+r.$
| A | math_Geometry | mathematics | ||
aquarat_25916 | deepmind/aqua_rat | In a class there are 60% of girls of which 25% poor. What is the probability that a poor girl is selected is leader? | A. 22 B. 15 C. 77 D. 17 E. 11 | B. 15 | Assume total students in the class = 100
Then Girls = 60% (100) = 60
Poor girls = 25% (60) = 15
So probability that a poor girls is selected leader = Poor girls / Total students = 15/100 = 15%
Answer:B | high_school_statistics | mathematics |
mmlu_aux_train_99023 | mmlu_aux_train | When liquefied soil flows over carcasses and drys it will become
A. lakes
B. diamonds
C. bubbles
D. fossilized | D. fossilized | high_school_biology | biology | ||
NLP4Education_490 | NLP4Education | Tick the \textbf{false} statement. The Shannon Encryption Model ...
A. requires a black-box encryption model.
B. assumes a known input distribution.
C. assumes the key is independent from the message.
D. requires the correctness property $\Pr[C_K^{-1}(C_K(X))=X]=1$. | A. requires a black-box encryption model. | computer_security | computer_science | ||
math_1806 | math_mc | What is the smallest positive integer with six positive odd integer divisors and twelve positive even integer divisors?
| B | math_Number Theory | mathematics | ||
pythonio_231 | pythonio-mc | Program:
def get_ludic(n):
ludics = []
for i in range(1, n + 1):
ludics.append(i)
index = 1
while(index != len(ludics)):
first_ludic = ludics[index]
remove_index = index + first_ludic
while(remove_index < len(ludics)):
ludics.remove(ludics[remove_index])
remove_index = remove_index + first_l... | D | code | computer_science | ||
NLP4Education_313 | NLP4Education | Consider a linear regression model on a dataset which we split into a training set and a test set. After training, our model gives a mean-squared error of 0.1 on the training set and a mean-squared error of 5.3 on the test set. Recall that the mean-squared error (MSE) is given by:
$$MSE_{\mathbf{w}}(\mathbf{y}, \mathbf... | B. Using ridge regression can help reduce the gap between the training MSE and the test MSE. | machine_learning | computer_science | ||
mmlu_aux_train_94724 | mmlu_aux_train | Which seismic wave phenomenon, found at structural boundaries, allows scientists to interpret the interior structure of Earth?
A. refraction of waves
B. generation of new waves
C. transformation of transverse waves into longitudinal waves
D. transformation of mechanical waves into electromagnetic waves | A. refraction of waves | college_physics | physics | ||
aquarat_12912 | deepmind/aqua_rat | There are 5 sweets – Milk peda, Ice cream, Rasagulla Paper sweet and Rasamalai that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints:
1) Paper sweet is not eaten on Monday
2) If Milk peda is eaten on Monday, then Paper sweet must be eaten on F... | A. Tuesday B. Monday C. Wednesday D. Friday E. Sunday | D. Friday | as Milk peda is eaten on Monday, then Paper sweet must be eaten on Friday
and Rasagulla should be eaten on the day preceding to the day of eating Milk peda
so milk peda cannot be eaten on monday as day preceding it is friday and condition 2 denies rasagulla on friday
ANSWER:D | formal_logic | mathematics |
allenai/sciq_11500 | allenai/sciq | What causes the particles of medium to move parallel to the direction of the wave?
A. Sound waves.
B. longitudinal waves
C. fluid waves
D. mechanical waves | B. longitudinal waves | Longitudinal waves cause the particles of medium to move parallel to the direction of the wave. | conceptual_physics | physics | |
mmlu_aux_train_95038 | mmlu_aux_train | The way that electrical conductors works in ways such as
A. sticking a plug into an outlet to power a microwave
B. turning on a coffee pot in the morning
C. making sure that a hair dryer is unplugged after use
D. turning on lights in a room | A. sticking a plug into an outlet to power a microwave | electrical_engineering | engineering | ||
math_1026 | math_mc | In triangle $ABC$, $BC = 8$. The length of median $AD$ is 5. Let $M$ be the largest possible value of $AB^2 + AC^2$, and let $m$ be the smallest possible value. Find $M - m$. | D | math_Geometry | mathematics | ||
NLP4Education_635 | NLP4Education | Tick the \textbf{incorrect} assertion. Let $H:\left\{ 0,1 \right\}^*\rightarrow\left\{ 0,1 \right\}^n$ be a hash function.
A. We can use $H$ to design a commitment scheme.
B. We can use $H$ to design a key derivation function.
C. Finding $x,y \in \left\{ 0,1 \right\}^*$ such that $x \neq y$ and $H(x) = H(y)$ can be don... | D. Given $x \in \left\{ 0,1 \right\}^*$, finding a $y \in \left\{ 0,1 \right\}^*$ such that $x \neq y$ and $H(x) = H(y)$ can be done in $O(2^{n/2})$ time. | computer_security | computer_science | ||
NLP4Education_807 | NLP4Education | Which of the following arguments is correct?
A. All students in this class understand math. Alice is a student in this class. Therefore, Alice doesn’t understand math.
B. Every physics major takes calculus. Mathilde is taking calculus. Therefore, Mathilde is a physics major.
C. All cats like milk. My pet is not a cat. ... | D. Everyone who eats vegetables every day is healthy. Linda is not healthy. Therefore, Linda does not eat vegetables every day. | formal_logic | mathematics | ||
mmlu_aux_train_5505 | mmlu_aux_train | It's exciting to imagine how future humans will have solved the problems we have now, or what amazing new inventions will make our lives more convenient and interesting. We asked top scientists to share their predictions on what the world will be like in a century. If they're right, the 2114 is going to be really cool.... | B. More people will lose their jobs. | high_school_computer_science | computer_science | ||
pythonio_608 | 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([[1, 2], [3, 4], [4, 5], [6, 7]])
Output: | B | code | computer_science | ||
mmlu_aux_train_49867 | mmlu_aux_train | Cell phone use and texting are increasingly common, especially among teens. And that could be a problem. Texting affects learning and performing on test, a new study finds. So a Montana teen, Colin decided to test that. They asked 47 classmates to take part in a two-part experiment. The goal was to test how well these ... | C. Texting affects students' performance on test. | high_school_biology | biology | ||
mmlu_aux_train_52347 | mmlu_aux_train | Danger-junkie orangutans in Borneo climb dead trees and shake then until they begin to fall. They scream with excitement as they cling to the falling tree. Just before the tree hits the ground the orangutans leap to another tree or vine, narrowly escaping death. While no one cab ask orangutans if they enjoy it as a pe... | B. enjoy themselves | high_school_biology | biology | ||
NLP4Education_494 | NLP4Education | A \textit{Cryptographic Certificate} is the $\ldots$
A. signature of the user who certifies that a public key belongs to the authority.
B. signature of the user who certifies that a public key belongs to the user.
C. signature of the authority who certifies that a public key belongs to a specific user.
D. diploma which... | C. signature of the authority who certifies that a public key belongs to a specific user. | computer_security | computer_science | ||
mmlu_aux_train_42530 | mmlu_aux_train | DEAR Daughter, We have not seen you for a while now, so I thought we might check in. Did you fall off the edge of the Earth? Your mother worries, you know, and I am just curious. Well, I am more than curious. I feel abandoned. Apparently you've dumped us for your career. I can understand that, because you've always had... | C. he was affected by his daughter's long absence | high_school_computer_science | computer_science | ||
pythonio_719 | pythonio-mc | Program:
import heapq
def nth_super_ugly_number(n, primes):
uglies = [1]
def gen(prime):
for ugly in uglies:
yield ugly * prime
merged = heapq.merge(*map(gen, primes))
while len(uglies) < n:
ugly = next(merged)
if ugly != uglies[-1]:
uglies.appen... | A | code | computer_science | ||
allenai/sciq_2008 | allenai/sciq | What is the condition called where pimples form on the skin?
A. dermatitis
B. acne
C. cramping
D. blushing | B. acne | About 85 percent of teens develop acne, like the boy in Figure below . Acne is a condition in which pimples form on the skin. It is caused by a bacterial infection. It happens when the sebaceous glands secrete too much sebum. The excess oil provides a good place for bacteria to grow. Keeping the skin clean helps preven... | high_school_biology | biology | |
NLP4Education_303 | NLP4Education | Mark any of the following functions that have unique maximizers:
A. \( f(x) = -x^{2}, \quad x \in[-10,10] \)
B. \( f(x) = x^{2}, \quad x \in[-10,10] \)
C. \( f(x) = \cos (2 \pi x), \quad x \in[-1,1] \)
D. \( f(x) = \ln (x), \quad x \in[-10,0) \) | A. \( f(x) = -x^{2}, \quad x \in[-10,10] \) | college_mathematics | mathematics | ||
NLP4Education_267 | NLP4Education | When searching for an entity 𝑒𝑛𝑒𝑤 that has a given relationship 𝑟 with a given entity 𝑒
A. We search for 𝑒𝑛𝑒𝑤 that have a similar embedding vector to 𝑒
B. We search for 𝑒𝑛𝑒𝑤 that have a similar embedding vector to 𝑒𝑜𝑙𝑑 which has relationship 𝑟 with 𝑒
C. We search for pairs (𝑒𝑛𝑒𝑤, 𝑒) that have ... | C. We search for pairs (𝑒𝑛𝑒𝑤, 𝑒) that have similar embedding to (𝑒𝑜𝑙𝑑, 𝑒) | machine_learning | computer_science | ||
pythonio_874 | pythonio-mc | Program:
import re
def change_date_format(dt):
return re.sub(r'(\d{4})-(\d{1,2})-(\d{1,2})', '\\3-\\2-\\1', dt)
return change_date_format(dt)
Input:
change_date_format('2021-01-04')
Output: | B | code | computer_science | ||
math_264 | math_mc | Real numbers $a$ and $b$ satisfy the equations $3^a=81^{b+2}$ and $125^b=5^{a-3}$. What is $ab$? | A | math_Algebra | mathematics | ||
mmlu_aux_train_98687 | mmlu_aux_train | Some plants have developed the ability to do what with their seeds?
A. put makeup on
B. go running
C. catapult
D. do magic | C. catapult | high_school_biology | biology | ||
allenai/sciq_1981 | allenai/sciq | Digestion and respiration are both facilitated by the pharynx, more commonly called the what?
A. nose
B. esophagus
C. throat
D. sinus | C. throat | The Pharynx The pharynx (throat) is involved in both digestion and respiration. It receives food and air from the mouth, and air from the nasal cavities. When food enters the pharynx, involuntary muscle contractions close off the air passageways. A short tube of skeletal muscle lined with a mucous membrane, the pharynx... | high_school_biology | biology | |
allenai/sciq_9609 | allenai/sciq | What is the only planet that rotates clockwise as viewed from its north pole?
A. mars
B. uranus
C. venus
D. earth | C. venus | Venus is the only planet that rotates clockwise as viewed from its North Pole. All of the other planets rotate counterclockwise. Venus turns slowly, making only one turn every 243 days. This is longer than a year on Venus! It takes Venus only 225 days to orbit the Sun. | astronomy | physics | |
math_1888 | math_mc | Simplify the expression $x - 2(1+x) + 3(1-x) - 4(1+2x)$. | D | math_Prealgebra | mathematics | ||
aquarat_85438 | deepmind/aqua_rat | Pointing to a girl in the photograph, Amar said, "Her mother's brother is the only son of my mother's father." How is the girl's mother related to Amar ? | A. Mother B. Sister C. Aunt D. Grandmother E. Brother | C. Aunt | Explanation:
Only son of Amar's mother's father — Amar's maternal uncle.
So, the girl's maternal uncle is Arnar's maternal uncle. Thus, the girl's mother is Amar's aunt.
Answer: C | formal_logic | mathematics |
allenai/sciq_8314 | allenai/sciq | As distance from the source increases, the area covered by the sound waves increases, lessening what?
A. intensity
B. velocity
C. density
D. duration | A. intensity | The energy of sound waves spreads out over a greater area as the waves travel farther from the sound source. This diagram represents just a small section of the total area of sound waves spreading out from the source. Sound waves actually travel away from the source in all directions. As distance from the source increa... | conceptual_physics | physics | |
NLP4Education_87 | NLP4Education | Which of the following is WRONG for Ontologies?
A. Different information systems need to agree on the same ontology in order to interoperate.
B. They help in the integration of data expressed in different models.
C. They give the possibility to specify schemas for different domains.
D. They dictate how semi-structured ... | D. They dictate how semi-structured data are serialized. | computer_security | computer_science | ||
allenai/sciq_2798 | allenai/sciq | Phase labels - and even special conditions - are sometimes included for the substances that are part of what?
A. carbon equations
B. chemical equations
C. solid equations
D. toxic equations | B. chemical equations | Many chemical equations also include phase labels for the substances: (s) for solid, (ℓ) for liquid, (g) for gas, and (aq) for aqueous (i. , dissolved in water). Special conditions, such as temperature, may also be listed above the arrow. For example, 2NaHCO. | high_school_chemistry | chemistry | |
math_462 | math_mc | A box contains six cards. Three of the cards are black on both sides, one card is black on one side and red on the other, and two of the cards are red on both sides. You pick a card uniformly at random from the box and look at a random side. Given that the side you see is red, what is the probability that the other s... | D | math_Counting & Probability | mathematics | ||
aquarat_90559 | deepmind/aqua_rat | 70,75, 76,75,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviatio... | A. 1 B. 2 C. 3 D. 4 E. 5 | D. 4 | How many of the 10 running times are more than one SD below the meanmeans how many data points from given 10 are less thanmean-1SD.
We are given that SD=22.4, so we should find mean --> mean=100 --> there are only 4 data points below 100-22.4=77.6, namely 70,75, 76 and 75.
Answer: D. | high_school_statistics | mathematics |
mmlu_aux_train_2495 | mmlu_aux_train | A perpetual motion machine is a theoretical device which, once started, continues to operate without any additional input of energy. Which statement describes why a perpetual motion machine is impossible to design?
A. Energy can be converted into mass.
B. Friction reduces the efficiency in a system.
C. The amount of e... | B. Friction reduces the efficiency in a system. | conceptual_physics | physics | ||
allenai/sciq_1909 | allenai/sciq | What causes lightning during a thunderstorm?
A. difference in temperature
B. difference in elevation
C. difference in charge
D. difference in wind | C. difference in charge | During a thunderstorm, some parts of a thunderhead become negatively charged. Other parts become positively charged. The difference in charge creates lightning. Lightning is a huge release of electricity. Lightning can jump between oppositely charged parts of the same cloud, between one cloud and another, or between a ... | conceptual_physics | physics | |
mmlu_aux_train_32541 | mmlu_aux_train | Riding on an exercise bike at home may keep you in physical shape, but it can get pretty boring after a while. Aaron Puzey had been on his exercise bike for half an hour a day for years when he decided to look for a way to make it a bit more fun. With virtual reality technology widely available nowadays, all be needed... | D. To add fun to his exercise bike routine* | computer_security | computer_science | ||
aquarat_27240 | deepmind/aqua_rat | If BELT is coded as 27 and JUMPED is coded as 54, then CHAIRS is coded as | A. 10 B. 21 C. 40 D. 92 E. None | C. 40 | BELT= 2+5+12+20=39 i.e 3*9=27
JUMPED= 10+21+13+16+5+4=69 i.e 6*9=54
CHAIRS= 3+8+1+9+18+19 =58 5*8=40
ANSWER:C | formal_logic | mathematics |
mmlu_aux_train_64706 | mmlu_aux_train | By installing the software, you acknowledge that you have read all of the terms and conditions of this agreement and agree to be bound by them. Click "YES" and continue to install the game. If you do not agree to the terms of this agreement, click "NO" and directly return to the entire package to the place of purchase... | B. The contents of the agreement. | computer_security | computer_science | ||
math_1385 | math_mc | Find the smallest positive integer $a$ such that $x^4 + a^2$ is not prime for any integer $x.$ | C | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_99516 | mmlu_aux_train | If a rock has been exposed to prolonged heat, what might the effect be?
A. Shrinking
B. Breaking
C. Erosion
D. Melting | C. Erosion | college_earth_science | earth_science | ||
math_1691 | math_mc | A triangular array of numbers has a first row consisting of the odd integers $1,3,5,\ldots,99$ in increasing order. Each row below the first has one fewer entry than the row above it, and the bottom row has a single entry. Each entry in any row after the top row equals the sum of the two entries diagonally above it in ... | B | math_Number Theory | mathematics | ||
mmlu_aux_train_98895 | mmlu_aux_train | Which likely can hydrate without moving?
A. a panda
B. a bamboo stalk
C. a raccoon
D. a dog | B. a bamboo stalk | high_school_biology | biology | ||
allenai/sciq_1932 | allenai/sciq | What type of cells are multiple small spaces located in the right and left sides of the ethmoid bone?
A. ethmoid air cells
B. alveoli
C. ethmoid vacuoles
D. amniotic sacs | A. ethmoid air cells | Figure 7.18 Paranasal Sinuses The paranasal sinuses are hollow, air-filled spaces named for the skull bone that each occupies. The most anterior is the frontal sinus, located in the frontal bone above the eyebrows. The largest are the maxillary sinuses, located in the right and left maxillary bones below the orbits. Th... | college_medicine | biology | |
aquarat_9614 | deepmind/aqua_rat | If MANGO is written as 41576 and APPLE is written as 17735, then GRAPES would be written as: | A. 7999340 B. 7835610 C. 7226710 D. 7913350 E. 7917510 | E. 7917510 | E
7917510
All letters whose position in the alphabet is below 10, are being represented by their position number.
All letters whose position is 10 or more, are being represented by their position number minus ten.
Therefore:
G is 7
R is 18-9=9
A is 1
P is 16-9=7
E is 5
S is 19-9=10 | formal_logic | mathematics |
allenai/sciq_3920 | allenai/sciq | As temperature increases, the solubility of the majority of solid substances does what?
A. stays the same
B. mutates
C. increases
D. reduces | C. increases | The solubility of the majority of solid substances increases as the temperature increases. However, the effect is difficult to predict and varies widely from one solute to another. The temperature dependence of solubility can be visualized with the help of a solubility curve , a graph of the solubility vs. temperature ... | high_school_chemistry | chemistry | |
math_2172 | math_mc | A projection takes $\begin{pmatrix} 4 \\ 4 \end{pmatrix}$ to $\begin{pmatrix} \frac{60}{13} \\ \frac{12}{13} \end{pmatrix}.$ Which vector does the projection take $\begin{pmatrix} -2 \\ 2 \end{pmatrix}$ to? | A | math_Precalculus | mathematics | ||
allenai/sciq_5024 | allenai/sciq | The simplest organic compounds have hydrogen and what else?
A. nitrogen
B. oxygen
C. sodium
D. carbon | D. carbon | The simplest organic compounds are those composed of only two elements: carbon and hydrogen. These compounds are called hydrocarbons. Hydrocarbons themselves are separated into two types: aliphatic hydrocarbons and aromatic hydrocarbons. Aliphatic hydrocarbons are hydrocarbons based on chains of C atoms. There are thre... | high_school_chemistry | chemistry | |
allenai/sciq_6329 | allenai/sciq | Molecular geometry is the three-dimensional arrangement of atoms in a what?
A. nucleus
B. molecule
C. DNA
D. genes | B. molecule | Molecular geometry is the three-dimensional arrangement of atoms in a molecule. The molecular geometry, or shape, of a molecule is an important factor that affects the physical and chemical properties of a compound. Those properties include melting and boiling points, solubility, density, and the types of chemical reac... | high_school_chemistry | chemistry | |
NLP4Education_654 | NLP4Education | In ElGamal signature scheme and over the random choice of the public parameters in the random oracle model (provided that the DLP is hard), existential forgery is \ldots
A. impossible.
B. hard on average.
C. easy on average.
D. easy. | B. hard on average. | computer_security | computer_science | ||
allenai/sciq_6167 | allenai/sciq | Exposure to toxins is most damaging during weeks 4 through 8 of the embryonic stage due to development of what during this period?
A. samples
B. pain
C. faith
D. organs | D. organs | Embryonic Development (Weeks 4–8). Most organs develop in the embryo during weeks 4 through 8. If the embryo is exposed to toxins during this period, the effects are likely to be very damaging. Can you explain why? (Note: the drawings of the embryos are not to scale. ). | college_biology | biology | |
math_2086 | math_mc | The equation of the line joining the complex numbers $-2 + 3i$ and $1 + i$ can be expressed in the form
\[az + b \overline{z} = 10\]for some complex numbers $a$ and $b$. Find the product $ab$. | C | math_Precalculus | mathematics | ||
math_1576 | math_mc | Let $\mathcal{S}$ be the set of real numbers that can be represented as repeating decimals of the form $0.\overline{abc}$ where $a, b, c$ are distinct digits. Find the sum of the elements of $\mathcal{S}.$
| C | math_Number Theory | mathematics | ||
math_2173 | math_mc | If $\sin x + \sin y = \frac{96}{65}$ and $\cos x + \cos y = \frac{72}{65}$, then what is the value of $\tan x + \tan y$? | C | math_Precalculus | mathematics | ||
aquarat_61150 | deepmind/aqua_rat | Tommy makes a bet that a coin will land on heads 2 times out of 8. After the first 6 tosses, the coin has landed on heads twice and tails four times. What is the probability that Tommy will win the bet? | A. 1/4 B. 1/2 C. 1/8 D. 1/3 E. 1/6 | A. 1/4 | For Tommy to win, the coin must land on tails for both the remaining two tosses.
The probability of this happening given a fair coin is 1/2 * 1/2 = 1/4
Answer:A | high_school_statistics | mathematics |
aquarat_28301 | deepmind/aqua_rat | If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2012) = ? | A. 2013 B. 2088 C. 270 D. 1881 E. 1781 | A. 2013 | f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1 = 2, f(1) = 2
f(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2) = 5-2 = 3, f(2) = 3
f(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(3) = 7-3 = 4, f(3) = 4
..............
f(2012) = 2013
Ans: A | college_mathematics | mathematics |
allenai/sciq_11171 | allenai/sciq | What is located beneath the lithosphere?
A. troposphere
B. asthenosphere
C. hydropshere
D. magnetosphere | B. asthenosphere | Beneath the lithosphere, the asthenosphere is solid rock that can flow. | college_earth_science | earth_science | |
mmlu_aux_train_96695 | mmlu_aux_train | Herbivores like to dine on
A. gravel
B. other herbivores
C. crustaceans
D. chlorophyll | D. chlorophyll | high_school_biology | biology | ||
math_1306 | math_mc | Let $x,$ $y,$ and $z$ be positive real numbers such that $x + y + z = 1.$ Find the minimum value of
\[\frac{x + y}{xyz}.\] | A | math_Intermediate Algebra | mathematics | ||
aquarat_16112 | deepmind/aqua_rat | For any integer n greater than 1, #n denotes the product of all the integers from 1 to n, inclusive. How many prime numbers are there between #6 +2 and #6 +6 , inclusive? | A. None B. One C. Two D. Three E. Four | A. None | Given that n* denotes the product of all the integers from 1 to n, inclusive so, 6*+2=6!+2 and 6*+6=6!+6.
Now, notice that we can factor out 2 our of 6!+2 so it cannot be a prime number, we can factor out 3 our of 6!+3 so it cannot be a prime number, we can factor out 4 our of 6!+4 so it cannot be a prime number, ... T... | college_mathematics | mathematics |
allenai/sciq_4775 | allenai/sciq | What do neutral atoms have the same number of?
A. toxins and protons
B. Measure and electrons
C. gases and protons
D. electrons and protons | D. electrons and protons | Summary Each atom of an element contains the same number of protons, which is theatomic number (Z). Neutral atoms have the same number of electrons and protons. Atoms of an element that contain different numbers of neutrons are calledisotopes. Each isotope of a given element has the same atomic number but a different m... | high_school_chemistry | chemistry | |
mmlu_aux_train_35308 | mmlu_aux_train | Obviously! Until Descartes came along in the seventeenth century, everyone assumed that we exited. Obviously. The fact seemed so mind-blowing obvious that it wasn't really discussed. We could see ourselves in the mirror, we could feel pain and pleasure, we could think thoughts for ourselves and, more importantly, perha... | D. What a pointless question | formal_logic | mathematics | ||
math_2117 | math_mc | There exist two distinct unit vectors $\mathbf{v}$ such that the angle between $\mathbf{v}$ and $\begin{pmatrix} 2 \\ 2 \\ -1 \end{pmatrix}$ is $45^\circ,$ and the angle between $\mathbf{v}$ and $\begin{pmatrix} 0 \\ 1 \\ -1 \end{pmatrix}$ is $60^\circ.$ Let $\mathbf{v}_1$ and $\mathbf{v}_2$ be these vectors. Find $\... | B | math_Precalculus | mathematics |
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