id stringlengths 6 20 | source stringclasses 6
values | instruction stringlengths 11 5.18k | input stringlengths 0 306 | output stringlengths 1 308 | rationale stringlengths 0 2.9k | subject stringclasses 39
values | category stringclasses 7
values |
|---|---|---|---|---|---|---|---|
math_881 | math_mc | The graphs of the equations
$y=k, \qquad y=\sqrt{3}x+2k, \qquad y=-\sqrt{3}x+2k,$
are drawn in the coordinate plane for $k=-10,-9,-8,\ldots,9,10.\,$ These 63 lines cut part of the plane into equilateral triangles of side $2/\sqrt{3}.\,$ How many such triangles are formed?
| C | math_Geometry | mathematics | ||
math_1858 | math_mc | Pizzas are sized by diameter. What percent increase in area results if Chantel's pizza increases from a 10-inch pizza to a 12-inch pizza? | C | math_Prealgebra | mathematics | ||
allenai/sciq_2188 | allenai/sciq | Water-soluble carboxylic acids ionize slightly in water to form these?
A. nonacidic solutions
B. very acidic solutions
C. solvents
D. moderately acidic solutions | D. moderately acidic solutions | Water-soluble carboxylic acids ionize slightly in water to form moderately acidic solutions. | high_school_chemistry | chemistry | |
pythonio_144 | pythonio-mc | Program:
def split(word):
return [char for char in word]
Input:
split('python')
Output: | D | code | computer_science | ||
allenai/sciq_4389 | allenai/sciq | Crossing charges is one method for obtaining what?
A. hybrids
B. superscripts
C. notations
D. subscripts | D. subscripts | Crossing charges. One method for obtaining subscripts in the empirical formula is by crossing charges. When crossing charges, you will sometimes find it necessary to reduce the subscripts to their simplest ratio to write the empirical formula. Consider, for example, the compound formed by Mg2+ and O2−. Using the absolu... | high_school_chemistry | chemistry | |
allenai/sciq_8118 | allenai/sciq | What kind of energy is released when the thermochemical reaction of a campfire converts wood to carbon dioxide and water?
A. light
B. ultraviolet
C. heat
D. smoke | C. heat | A camp fire is an example of basic thermochemistry. The reaction is initiated by the application of heat from a match. The reaction converting wood to carbon dioxide and water (among other things) continues, releasing heat energy in the process. This heat energy can then be used to cook food, roast marshmallows, or jus... | high_school_chemistry | chemistry | |
math_1546 | math_mc | What is the sum of all integer values of $n$ such that $\frac{20}{2n - 1}$ is an integer? | D | math_Number Theory | mathematics | ||
pythonio_595 | pythonio-mc | Program:
import re
def occurance_substring(text,pattern):
for match in re.finditer(pattern, text):
s = match.start()
e = match.end()
return (text[s:e], s, e)
Input:
occurance_substring('python programming,programming language','programming')
Output: | B | code | computer_science | ||
NLP4Education_217 | NLP4Education | You have data with lots of outliers. Everything else being equal, and assuming that you do not do any pre-processing, what cost function will be less effected by these outliers?
A. $(y-f(x))^{2}$ (MSE)
B. $|y-f(x)|$ (MAE)
C. $\sqrt{|y-f(x)|}$ (Root absolute error)
D. $(y-f(x))^{3}$ (Cubic error) | B. $|y-f(x)|$ (MAE) | machine_learning | computer_science | ||
math_1542 | math_mc | What is the smallest positive integer $n$ such that $531n \equiv 1067n \pmod{24}?$ | A | math_Number Theory | mathematics | ||
mmlu_aux_train_12478 | mmlu_aux_train | Pairs, Jan. 11--- An armored car robbery last night ended in a wild gunbattle that two men dead and a hostage seriously wounded. The drama began when an armored car carrying the contents of safety boxes to a bank was struck by a large truck, police said. The bank guards were helpless when the robbers jumped out o... | C. a group of gunmen's robbery of armored car in the streets. | high_school_computer_science | computer_science | ||
aquarat_5022 | deepmind/aqua_rat | f(x) is defined as the largest integer n such that x is divisible by 2^n. Which of the following numbers is the biggest? | A. f(24) B. f(42) C. f(62) D. f(76) E. f(84) | A. f(24) | So, we have an integer x. It has some power of 2 in its prime factorization (2^n) and f(x) is the value of that n. Basically f(x) is the power of 2 in prime factorization of x.
For example, if x is say 40, then f(x)=3. Why? Because the largest integer n such that 40 is divisible by 2^n is 3: 40/2^3=5, or 40=2^3*5 --> t... | abstract_algebra | mathematics |
mmlu_aux_train_98010 | mmlu_aux_train | Which of these supports an item that works together in large numbers and is greater than the sum of its parts?
A. car
B. membrane
C. fire
D. truck | B. membrane | conceptual_physics | physics | ||
NLP4Education_367 | NLP4Education | Why do block ciphers use modes of operation?
A. To allow the encryption of messages of any length.
B. To enable the use of arbitrary key sizes.
C. Because decryption cannot function otherwise.
D. To guarantee security against all attacks. | A. To allow the encryption of messages of any length. | computer_security | computer_science | ||
math_610 | math_mc | Two mathematicians take a morning coffee break each day. They arrive at the cafeteria independently, at random times between 9 a.m. and 10 a.m., and stay for exactly $m$ minutes. The probability that either one arrives while the other is in the cafeteria is $40 \%,$ and $m = a - b\sqrt {c},$ where $a, b,$ and $c$ are p... | A | math_Counting & Probability | mathematics | ||
math_1692 | math_mc | Compute the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4. | D | math_Number Theory | mathematics | ||
allenai/sciq_9296 | allenai/sciq | What is the process in which a layer of a second metal is deposited on the metal electrode that acts as the cathode during electrolysis?
A. cold fusion
B. casting
C. electroplating
D. distillation | C. electroplating | Electroplating In a process called electroplating, a layer of a second metal is deposited on the metal electrode that acts as the cathode during electrolysis. Electroplating is used to enhance the appearance of metal objects and protect them from corrosion. Examples of electroplating include the chromium layer found on... | college_chemistry | chemistry | |
mmlu_aux_train_1026 | mmlu_aux_train | In which of the following situations would a court applying common-law doctrine be most likely to convict Defendant of the crime charged, despite Defendant's mistake?
A. Defendant was charged with bigamy. He married his neighbor four years after her husband was reported missing at sea. The rescued husband returns ali... | A. Defendant was charged with bigamy. He married his neighbor four years after her husband was reported missing at sea. The rescued husband returns alive. A state statute provides that a person is presumed dead after five years of unexplained absence. Defendant believed the statutory period was three years. | formal_logic | mathematics | ||
math_185 | math_mc | A square is drawn such that one of its sides coincides with the line $y = 5$, and so that the endpoints of this side lie on the parabola $y = x^2 + 3x + 2$. What is the area of the square? | C | math_Algebra | mathematics | ||
NLP4Education_247 | NLP4Education | Consider the logistic regression loss $L: \R^d \to \R$ for a binary classification task with data $\left( \xv_i, y_i \right) \in \R^d \times \{0, 1\}$ for $i \in \left\{ 1, \ldots N \right\}$:
\begin{equation*}
L(\wv) = \frac{1}{N} \sum_{i = 1}^N \bigg(\log\left(1 + e^{\xv_i^\top\wv} \right) - y_i \xv_i^\top\wv\big... | B. $\nabla L(\wv) = \frac{1}{N} \sum_{i = 1}^N \; \xv_i \bigg( \frac{1}{1 + e^{-\xv_i^\top\wv}} - y_i\bigg) $ | machine_learning | computer_science | ||
math_902 | math_mc | In the adjoining figure, $AB$ is a diameter of the circle, $CD$ is a chord parallel to $AB$, and $AC$ intersects $BD$ at $E$, with $\angle AED = \alpha$. The ratio of the area of $\triangle CDE$ to that of $\triangle ABE$ is
[asy] defaultpen(fontsize(10pt)+linewidth(.8pt)); pair A=(-1,0), B=(1,0), E=(0,-.4), C=(.6,-.8)... | C | math_Geometry | mathematics | ||
mmlu_aux_train_93829 | mmlu_aux_train | All metabolic functions fall into one of two categories: a breaking down process (catabolic) or a building up process (anabolic). Which is an example of an anabolic process?
A. respiration
B. protein synthesis
C. oxygen transport
D. carbohydrate digestion | B. protein synthesis | high_school_biology | biology | ||
pythonio_950 | pythonio-mc | Program:
def floor_Max(A,B,N):
x = min(B - 1,N)
return (A*x) // B
Input:
floor_Max(11,10,9)
Output: | A | code | computer_science | ||
mmlu_aux_train_31167 | mmlu_aux_train | The oldest and most common source of renewable energy known to man, biomass is one of the most important forms energy production in the United States and elsewhere. Since such a wide variety of biomass materials is everywhere --- from trees and grasses to agricultural and city --- life wastes ---biomass promises to pl... | C. It stores the energy from the sun. | college_physics | physics | ||
math_147 | math_mc | The graph of the parabola defined by the equation $y=(x-2)^2+3$ is rotated 180 degrees about its vertex, then shifted 3 units to the left, then shifted 2 units down. The resulting parabola has zeros at $x=a$ and $x=b$. What is $a+b$? | B | math_Algebra | mathematics | ||
allenai/sciq_11176 | allenai/sciq | What normal bodily occurrence can cause skeletal muscles to involuntarily contract?
A. thinking
B. reflexes
C. movement
D. respiration | B. reflexes | Skeletal muscle is made up of voluntary muscles, usually attached to the skeleton. Skeletal muscles move the body. They can also contract involuntarily by reflexes. For example, you can choose to move your arm, but your arm would move automatically if you were to burn your finger on a stove top. This voluntary contract... | high_school_biology | biology | |
math_817 | math_mc | Let triangle $ABC$ be a right triangle in the xy-plane with a right angle at $C$. Given that the length of the hypotenuse $AB$ is $60$, and that the medians through $A$ and $B$ lie along the lines $y=x+3$ and $y=2x+4$ respectively, find the area of triangle $ABC$.
| D | math_Geometry | mathematics | ||
mmlu_aux_train_50522 | mmlu_aux_train | The Internet began in the 1960s as a small network of academic and government computers primarily involved in research for the prefix = st1 /U.S.army. Originally limited to researchers at a handful of universities and government departments, the Internet has quickly become a worldwide network providing users with infor... | A. offers price advantages to users | computer_security | computer_science | ||
allenai/sciq_7875 | allenai/sciq | Most plates are made up of a combination of what?
A. oceanic and reflective lithosphere
B. continental and battered lithosphere
C. continental and reflective lithosphere
D. continental and oceanic lithosphere | D. continental and oceanic lithosphere | If you look at the map pictured below, you will see that the lithosphere is divided into plates ( Figure below ). There are a dozen major and several minor plates. Each plate is named for the continent or ocean basin it contains. Some plates are made of all oceanic lithosphere. A few are all continental lithosphere. Bu... | college_earth_science | earth_science | |
mmlu_aux_train_99638 | mmlu_aux_train | Consuming from an aluminium container, a human is likely enjoying
A. a melted down liver enzyme
B. a strange liquid metal
C. a makeshift type of pasta
D. a crisp beverage with cold bubbles streaming throughout it | D. a crisp beverage with cold bubbles streaming throughout it | college_chemistry | chemistry | ||
math_1370 | math_mc | Let $p(x)$ be a monic polynomial of degree 4, such that $p(1) = 17,$ $p(2) = 34,$ and $p(3) = 51.$ Find $p(0) + p(4).$ | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_11803 | mmlu_aux_train | Folk medicine keeps the body healthy by using medicines taken from surrounding plants and herbs . Since materialsfor making a medicine to cure a sickness can be found everywhere, one can practise folk medicine in any place of the world. The use of folk medicine goes all the way back to the time of the earliest man when... | A. It keeps one healthy by using medicines taken from plants and herbs. | high_school_biology | biology | ||
aquarat_56508 | deepmind/aqua_rat | what is the remainder when 4.4!*5.5!*6.6!...........19*19! is divided by 64 | A. 0 B. 1 C. 2 D. 3 E. 4 | A. 0 | (4*4*3*2*5*5!*6*5*.......*1*7*7!..........)/64=(int value) no remender there
ANSWER:A | college_mathematics | mathematics |
math_303 | math_mc | How many positive whole numbers have cube roots that are less than $10$? For example, $20$ would count since $\sqrt[3]{20}<10.$ | D | math_Algebra | mathematics | ||
pythonio_237 | pythonio-mc | Program:
import re
pattern = 'fox'
text = 'The quick brown fox jumps over the lazy dog.'
def find_literals(text, pattern):
match = re.search(pattern, text)
s = match.start()
e = match.end()
return (match.re.pattern, s, e)
Input:
find_literals('The quick brown fox jumps over the lazy dog.', 'fox')
Output: | B | code | computer_science | ||
aquarat_87459 | deepmind/aqua_rat | If a certain sample of data has a mean of 33.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean? | A. (26.0; 39.5) B. (32.5; 34.0) C. (30.0; 36.5) D. (31.5; 38.5) E. (29.0; 36.0) | A. (26.0; 39.5) | The standard deviation is 2, so 2.5 standard deviations would be (2.5)(2) = 5.
The values between 28 and 38 are within 2.5 standard deviations from the mean.
The answer is A. | high_school_statistics | mathematics |
mmlu_aux_train_96134 | mmlu_aux_train | What causes objects that have mass to be pulled down?
A. planetary pull
B. wind
C. water force
D. weight | A. planetary pull | conceptual_physics | physics | ||
mmlu_aux_train_99294 | mmlu_aux_train | If a thing is near a planet, yet a planet is orbiting something else, the orbiting item circling the planet is likely
A. luna
B. the Sun
C. bees
D. coal | A. luna | astronomy | physics | ||
aquarat_5606 | deepmind/aqua_rat | If HARD is coded as 1357
and SOFT is coded as 2468
what will 21448 stand for? | A. SHOOR B. SHOOA C. SHOOT D. SHEOT E. SWOOT | C. SHOOT | HARD = 1357 => 1=H, 3=A , 5=R , 7=D
SOFT = 2468 => 2=S, 4=O , 6=F , 8=T
so, 21448 = SHOOT
ANSWER:C | formal_logic | mathematics |
math_1108 | math_mc | [asy] draw(circle((4,1),1),black+linewidth(.75)); draw((0,0)--(8,0)--(8,6)--cycle,black+linewidth(.75)); MP("A",(0,0),SW);MP("B",(8,0),SE);MP("C",(8,6),NE);MP("P",(4,1),NW); MP("8",(4,0),S);MP("6",(8,3),E);MP("10",(4,3),NW); MP("->",(5,1),E); dot((4,1)); [/asy]The sides of $\triangle ABC$ have lengths $6,8,$ and $10$. ... | A | math_Geometry | mathematics | ||
aquarat_6864 | deepmind/aqua_rat | A present value of a machine is $2000. Its value depletiation rate is 20% per annum then find the machine value before 2 years? | A. $3125 B. $2945 C. $3012 D. $2545 E. $3150 | A. $3125 | P= $2000
R = 20%
T = 2 years
Machine value before 2 years = P/[(1-R/100)^T]
=2000*5/4 * 5/4
=$3125
Answer is A | college_mathematics | mathematics |
math_480 | math_mc | A 2 by 2003 rectangle consists of unit squares as shown below. The middle unit square of each row is shaded. If a rectangle from the figure is chosen at random, what is the probability that the rectangle does not include a shaded square? Express your answer as a common fraction. [asy]
size(7cm);
defaultpen(linewidth... | B | math_Counting & Probability | mathematics | ||
allenai/sciq_5459 | allenai/sciq | What is the first cell of a new organism?
A. seed
B. zygote
C. nucleus
D. egg | B. zygote | The new cell is stimulated with an electric shock and embryo development begins, as if it were a normal zygote . The zygote is the first cell of a new organism. | high_school_biology | biology | |
math_912 | math_mc | In acute triangle $ABC$ points $P$ and $Q$ are the feet of the perpendiculars from $C$ to $\overline{AB}$ and from $B$ to $\overline{AC}$, respectively. Line $PQ$ intersects the circumcircle of $\triangle ABC$ in two distinct points, $X$ and $Y$. Suppose $XP=10$, $PQ=25$, and $QY=15$. The value of $AB\cdot AC$ can be w... | D | math_Geometry | mathematics | ||
aquarat_68945 | deepmind/aqua_rat | If Sand is coded as Brick, Brick as House, House as Temple, Temple as Palace then where do you worship? | A. Palace B. Temple C. Brick D. House E. none | A. Palace | palace because temple is coded as palace
ANSWER:A | formal_logic | mathematics |
math_1045 | math_mc | The diameter, in inches, of a sphere with twice the volume of a sphere of radius 9 inches can be expressed in the form $a\sqrt[3]{b}$ where $a$ and $b$ are positive integers and $b$ contains no perfect cube factors. Compute $a+b$. | C | math_Geometry | mathematics | ||
mmlu_aux_train_25795 | mmlu_aux_train | The world is not coming to an end on December 21st, 2012, the US space agency announced to dispel widespread rumors fueled by the Internet and a new Hollywood movie. The latest big screen 2012 was based on stories according to the Mayan calendar.It showed that by the end of 2012, a Planet X will collide with the ear... | A. The Internet and the film 2012. | astronomy | physics | ||
pythonio_26 | pythonio-mc | Program:
def add_str(test_tup, K):
res = [ele for sub in test_tup for ele in (sub, K)]
return (res)
Input:
add_str((5, 6, 7, 4, 9) , "FDF")
Output: | A | code | computer_science | ||
math_441 | math_mc | A pirate is searching for buried treasure on 6 islands. On each island, there is a $\frac{1}{4}$ chance that the island has buried treasure and no traps, a $\frac{1}{12}$ chance that the island has traps but no treasure, and a $\frac{2}{3}$ chance that the island has neither traps nor treasure. What is the probability ... | C | math_Counting & Probability | mathematics | ||
mmlu_aux_train_1297 | mmlu_aux_train | Which of the following is an example of a container that is filled with a pure substance rather than with a mixture?
A. a tire filled with air
B. a jar filled with salt water
C. a balloon filled with helium
D. a glass filled with chocolate milk | C. a balloon filled with helium | high_school_chemistry | chemistry | ||
allenai/sciq_3812 | allenai/sciq | What is the ratio of solutes in a solution to a volume of solvent in a solution known as?
A. molarity
B. molality
C. osmolality
D. equilibrium | C. osmolality | Regulation of Water Intake Osmolality is the ratio of solutes in a solution to a volume of solvent in a solution. Plasma osmolality is thus the ratio of solutes to water in blood plasma. A person’s plasma osmolality value reflects his or her state of hydration. A healthy body maintains plasma osmolality within a narrow... | high_school_chemistry | chemistry | |
mmlu_aux_train_1636 | mmlu_aux_train | Laura adds 50 mL of boiling water to 100 mL of ice water. If the 150 mL of water is then put into a freezer, at what temperature will the water freeze?
A. 0°C
B. 15°C
C. 37°C
D. 50°C | A. 0°C | conceptual_physics | physics | ||
pythonio_172 | pythonio-mc | Program:
def last_Digit_Factorial(n):
if (n == 0): return 1
elif (n <= 2): return n
elif (n == 3): return 6
elif (n == 4): return 4
else:
return 0
Input:
last_Digit_Factorial(4)
Output: | D | code | computer_science | ||
NLP4Education_169 | NLP4Education | What is our final goal in machine learning? (One answer)
A. Overfit
B. Generalize
C. Underfit
D. Megafit | B. Generalize | machine_learning | computer_science | ||
NLP4Education_352 | NLP4Education | Consider the following CF grammar $G_1$
$ R_1: \text{S} \rightarrow \text{NP VP} $
$ R_2: \text{S} \rightarrow \text{NP VP PNP} $
$ R_3: \text{PNP} \rightarrow \text{Prep NP} $
$ R_4: \text{NP} \rightarrow \text{N} $
$ R_5: \text{NP} \rightarrow \text{Det N} $
$ R_6: \text{NP} \rightarrow \text{Det N PNP} $ ... | A. Yes, the stochastic coefficients can always be derived from those of $G_1$. | college_computer_science | computer_science | ||
allenai/sciq_3590 | allenai/sciq | In vertebrates, a system of what structures attached to the endoskeleton enables movement?
A. tendons
B. nerves
C. muscles
D. tissues | C. muscles | Vertebrates have a system of muscles attached to the endoskeleton to enable movement. Muscles control movement by alternately contracting (shortening) and relaxing (lengthening). Generally, muscles work together in opposing pairs. | high_school_biology | biology | |
mmlu_aux_train_14015 | mmlu_aux_train | The Entropia Universe The Entropia Universe is a virtual world on the Internet, which seems very like our real life.It is set in a distant future and based on a planet called Calypso.Entropia was the brainchild of a group of Swedish computer lovers who decided to see if they could create a three dimensional virtual w... | A. It costs nothing to join. | high_school_computer_science | computer_science | ||
aquarat_8672 | deepmind/aqua_rat | For the given equation x9+5x8−x3+7x+2=0,x9+5x8−x3+7x+2=0, how many maximum real roots are possible? | A. 3 B. 7 C. 4 D. 0 E. 1 | C. 4 | f(x) = x9+5x8−x3+7x+2=0x9+5x8−x3+7x+2=0
In f(x), there are 2 changes of sign. So, there are two positive roots.
f(-x) = - x9+5x8−x3+7x+2=0x9+5x8−x3+7x+2=0
In f(-x), there are 3 changes of sign. So, there are three negative roots.
So, in all there are 5 real roots possible (2 positive and 3 negative) and as degree of th... | college_mathematics | mathematics |
mmlu_aux_train_1602 | mmlu_aux_train | A drain cleaner consists of sodium hydroxide and aluminum. When the drain cleaner is added to water, bubbles of hydrogen are produced, and the solution becomes very hot. Which of these best describes what happens to form the bubbles when the cleaner is added to water? F
A. chemical reaction
B. Condensation
C. A physic... | A. chemical reaction | high_school_chemistry | chemistry | ||
math_59 | math_mc | What is the sum of all the three-digit positive integers? | C | math_Algebra | mathematics | ||
pythonio_836 | pythonio-mc | Program:
def find_fixed_point(arr, n):
for i in range(n):
if arr[i] is i:
return i
return -1
Input:
find_fixed_point([0, 2, 5, 8, 17],5)
Output: | C | code | computer_science | ||
allenai/sciq_8792 | allenai/sciq | Matter can exist either as a pure substance or as a combination of what?
A. Different Liquids
B. different substances
C. much substances
D. different vapors | B. different substances | The properties of matter, both physical and chemical, depend on the substances that matter is made of. Matter can exist either as a pure substance or as a combination of different substances. | high_school_chemistry | chemistry | |
pythonio_436 | pythonio-mc | Program:
def zip_list(list1,list2):
result = list(map(list.__add__, list1, list2))
return result
Input:
zip_list([[1, 2], [3, 4], [5, 6]] ,[[7, 8], [9, 10], [11, 12]] )
Output: | C | code | computer_science | ||
mmlu_aux_train_93596 | mmlu_aux_train | Which of these locations in the solar system contains the most asteroids?
A. the surface of the Sun
B. the ring system of Saturn
C. between Mars and Jupiter
D. between Mercury and Venus | C. between Mars and Jupiter | astronomy | physics | ||
pythonio_697 | pythonio-mc | Program:
def generate_matrix(n):
if n<=0:
return []
matrix=[row[:] for row in [[0]*n]*n]
row_st=0
row_ed=n-1
col_st=0
col_ed=n-1
current=1
while (True):
if current>n*n:
break
... | C | code | computer_science | ||
math_1040 | math_mc | In the figure below, $ABCD$ is a square piece of paper 6 cm on each side. Corner $C$ is folded over so that it coincides with $E$, the midpoint of $\overline{AD}$. If $\overline{GF}$ represents the crease created by the fold such that $F$ is on $CD,$ what is the length of $\overline{FD}$? Express your answer as a commo... | C | math_Geometry | mathematics | ||
aquarat_82398 | deepmind/aqua_rat | If n is a three-digit prime number and j is an integer, which of the following is NOT a possible value of k, where k is the smallest positive integer such that n – 5j = k? | A. 1 B. 2 C. 3 D. 4 E. 5 | E. 5 | if k = 5, then n = 5j + 5 = 5(j+1)
=> n is a multiple of 5, which contradicts what is stated in the question
Also, examples for other choices :
101 - 5* 20 = 1
103 - 5*20 = 3
107 - 5 * 21 = 2
109 - 5 * 21 = 4
E is the correct answer | abstract_algebra | mathematics |
aquarat_28632 | deepmind/aqua_rat | If m^(-1) = -1/5 then m^(-2) is equal to | A. -9 B. -3 C. -1/9 D. 1/25 E. 9 | D. 1/25 | You made a mistake here.
You're right till
m^-2 = 1/m^2 and m^-1 = 1/m^1 = 1/m
given m^-1 = -(1/5) so, 1/m = -(1/5) solving this, m = -5
Now, m^-2 = 1/m^2 = 1/(-5)^2 = 1/25 ANS D | college_mathematics | mathematics |
mmlu_aux_train_98522 | mmlu_aux_train | All the food in the fridge is warm on a remote farm with a windmill. The most likely cause is
A. it's a very windy day
B. someone put a heat lamp in the fridge
C. it's a windless day
D. it's a warm day | C. it's a windless day | conceptual_physics | physics | ||
mmlu_aux_train_95245 | mmlu_aux_train | A switch is used to stop the flow of currents which causes Joule heating in
A. thermostat
B. solar energy
C. magnetic fields
D. electrical circuit. | D. electrical circuit. | electrical_engineering | engineering | ||
allenai/sciq_5565 | allenai/sciq | What type of equations allows calculation of the wavelength of any moving object?
A. develpoment wave
B. disc wave
C. debroglie wave
D. fluctuations wave | C. debroglie wave | The deBroglie wave equations allows calculation of the wavelength of any moving object. | college_physics | physics | |
mmlu_aux_train_1333 | mmlu_aux_train | The Periodic Table of the Elements is arranged so that elements with similar characteristics are in the same column. Which element is a highly reactive metal?
A. chlorine (Cl)
B. helium (He)
C. magnesium (Mg)
D. silver (Ag) | C. magnesium (Mg) | high_school_chemistry | chemistry | ||
math_859 | math_mc | A spiral staircase turns $270^\circ$ as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in the length of the handrail? Express your answer as a decimal to the nearest tenth. | D | math_Geometry | mathematics | ||
math_2211 | math_mc | Let $ABC$ be a triangle. There exists a positive real number $k$, such that if the altitudes of triangle $ABC$ are extended past $A$, $B$, and $C$, to $A'$, $B'$, and $C'$, as shown, such that $AA' = kBC$, $BB' = kAC$, and $CC' = kAB$, then triangle $A'B'C'$ is equilateral.
[asy]
unitsize(0.6 cm);
pair[] A, B, C;
pa... | A | math_Precalculus | mathematics | ||
allenai/sciq_5939 | allenai/sciq | What weather phenomenon, which may bring clouds and precipitation, is created by stalled air masses?
A. susceptible front
B. stationary front
C. Horizontal Front
D. cool front | B. stationary front | Sometimes two air masses stop moving when they meet. These stalled air masses create a stationary front . Such a front may bring clouds and precipitation to the same area for many days. | earth_science | earth_science | |
mmlu_aux_train_68321 | mmlu_aux_train | In our town, there is a big zoo with a lot of animals in it. There are so beautiful tigers and two old lions. They eat a lot of meat every day. There are also two big elephants and one baby elephant. The elephants are kind animals. They eat a lot every day. They like children. Children often give them bread and bananas... | C. elephants | high_school_biology | biology | ||
NLP4Education_145 | NLP4Education | Dude said “I like bowling”. With how many statements can we express this sentence using RDF Reification?
A. We cannot
B. 1
C. 3
D. 5 | D. 5 | computer_security | computer_science | ||
mmlu_aux_train_43792 | mmlu_aux_train | People around the world used their computers to buy goods, communicate with others, listen to music, see pictures and learn about different places and ideas. In 2006, more people around the world used new ways to communicate and connect with each other through the Internet. The blog is one form of communication that en... | B. express themselves | high_school_computer_science | computer_science | ||
mmlu_aux_train_96139 | mmlu_aux_train | The amount of transpiration is lower in
A. summer
B. fall
C. winter
D. spring | C. winter | high_school_biology | biology | ||
math_1587 | math_mc | For each positive integer $n$, let $f(n)$ be the sum of the digits in the base-four representation of $n$ and let $g(n)$ be the sum of the digits in the base-eight representation of $f(n)$. For example, $f(2020) = f(133210_{\text{4}}) = 10 = 12_{\text{8}}$, and $g(2020) = \text{the digit sum of }12_{\text{8}} = 3$. Let... | A | math_Number Theory | mathematics | ||
pythonio_460 | pythonio-mc | Program:
def sort_sublists(list1):
list1.sort()
list1.sort(key=len)
return list1
Input:
sort_sublists([["python"],["java","C","C++"],["DBMS"],["SQL","HTML"]])
Output: | A | code | computer_science | ||
mmlu_aux_train_98432 | mmlu_aux_train | Succulents will die during winter months in canada without the aide of a
A. glass structure
B. firehouse
C. smokehouse
D. bonfire | A. glass structure | high_school_biology | biology | ||
mmlu_aux_train_97622 | mmlu_aux_train | A kumquat is more likely than a steak to have
A. fluid
B. seeds
C. fibers
D. skin | B. seeds | high_school_biology | biology | ||
allenai/sciq_110 | allenai/sciq | Titration is a method to determine what in acids or bases?
A. concentration
B. glucose
C. maturation
D. alkalinity | A. concentration | The concentration of an acid or base can be determined by titration. | high_school_chemistry | chemistry | |
mmlu_aux_train_66069 | mmlu_aux_train | Taste is such a subjective matter that we don't usually conduct preference tests for food. The most you can say about anyone's preference is that it's one person's opinion. But because the two big cola companies--Coca-Cola and Pepsi Cola are marketed so aggressively, we've wondered how big a role taste preference actua... | C. find out the role taste preference plays in a person's drinking | high_school_statistics | mathematics | ||
math_561 | math_mc | Melinda has three empty boxes and $12$ textbooks, three of which are mathematics textbooks. One box will hold any three of her textbooks, one will hold any four of her textbooks, and one will hold any five of her textbooks. If Melinda packs her textbooks into these boxes in random order, the probability that all three ... | A | math_Counting & Probability | mathematics | ||
allenai/sciq_951 | allenai/sciq | Supersaturated solutions of most solids in water are prepared by cooling what?
A. mineral solutions
B. dense solutions
C. saturated solutions
D. plasma solutions | C. saturated solutions | (b) Write a balanced chemical equation showing the products of the dissolution of Fe(NO3)3. Compare the processes that occur when methanol (CH3OH), hydrogen chloride (HCl), and sodium hydroxide (NaOH) dissolve in water. Write equations and prepare sketches showing the form in which each of these compounds is present in... | high_school_chemistry | chemistry | |
aquarat_38582 | deepmind/aqua_rat | Calculate f(3), given that f(x) = x3 + f0(-1)x2 + f00(1)x + f0(-1)f(-1). | A. 198 B. 197 C. 196 D. 195 E. 194 | A. 198 | Differentiating, we compute
f0(x) = 3x2 + 2f0(-1)x + f00(1)
f00(x) = 6x + 2f0(-1):
Plugging in x = -1 into the first equation and x = 1 into the second, we obtain a system of
equations in f0(-1) and f00(1):
f0(-1) = 3 - 2f0(-1) + f00(1);
f00(1) = 6 + 2f0(-1):
Denoting f0(-1) and f00(1) by a and b respectively, we have
... | college_mathematics | mathematics |
allenai/sciq_6676 | allenai/sciq | What is the term for a substance that causes the speed of a reaction to increase?
A. component
B. catalyst
C. indicate
D. monite | B. catalyst | A catalyst is a substance that increases the speed of a reaction. Overall, a catalyst is not a reactant and is not used up, but it still affects how fast a reaction proceeds. However, a catalyst does not affect the extent or position of a reaction at equilibrium. It helps a reaction achieve equilibrium faster. | high_school_chemistry | chemistry | |
pythonio_552 | pythonio-mc | Program:
def jacobsthal_num(n):
dp = [0] * (n + 1)
dp[0] = 0
dp[1] = 1
for i in range(2, n+1):
dp[i] = dp[i - 1] + 2 * dp[i - 2]
return dp[n]
Input:
jacobsthal_num(4)
Output: | A | code | computer_science | ||
mmlu_aux_train_41159 | mmlu_aux_train | Almost five years ago, I announce to my loved ones I was to become a Mrs Naturally. I then began to wonder about the perfect wedding dress, hoping that it would fit me. Even at the age of 22, I had gone through my share of dieting. I am an emotional eater and I knew that at 5 feet 5 inches tall and weighi... | C. To tell us how she lost weight. | high_school_biology | biology | ||
allenai/sciq_6280 | allenai/sciq | What type of learning is done from past experiences and reasoning?
A. transformation learning
B. rational learning
C. insight learning
D. consequence learning | C. insight learning | Insight learning is learning from past experiences and reasoning. It usually involves coming up with new ways to solve problems. Insight learning generally happens quickly. An animal has a sudden flash of insight. Insight learning requires relatively great intelligence. Human beings use insight learning more than any o... | machine_learning | computer_science | |
math_1350 | math_mc | The expansion of $(x+1)^n$ has 3 consecutive terms with coefficients in the ratio $1:2:3$ that can be written in the form\[{n\choose k} : {n\choose k+1} : {n \choose k+2}\]Find the sum of all possible values of $n+k$.
| A | math_Intermediate Algebra | mathematics | ||
math_2105 | math_mc | Find the range of the function
\[f(x) = \left( \arccos \frac{x}{2} \right)^2 + \pi \arcsin \frac{x}{2} - \left( \arcsin \frac{x}{2} \right)^2 + \frac{\pi^2}{12} (x^2 + 6x + 8).\] | B | math_Precalculus | mathematics | ||
math_359 | math_mc | Find the product of all positive integer values of $c$ such that $8x^2+15x+c=0$ has two real roots. | A | math_Algebra | mathematics | ||
math_2124 | math_mc | In triangle $ABC,$ $\angle C = \frac{\pi}{2}.$ Find
\[\arctan \left( \frac{a}{b + c} \right) + \arctan \left( \frac{b}{a + c} \right).\] | D | math_Precalculus | mathematics | ||
mmlu_aux_train_7550 | mmlu_aux_train | Look, this is the first plane in the world to be created using the new technology of "3D printing". The airplane was built using only a computer--but it can fly at a speed of 100mph and has a two-meter wingspan. It was produced using a special nylon laser printer that builds up something layer-by-layer. The parts were ... | A. It should be controlled by an autopilot system. | college_physics | physics | ||
aquarat_30042 | deepmind/aqua_rat | A 30% solution of barium chloride is mixed with 10 grams of water to form a 20% solution. How many grams of original solution did we start with ?
I am trained to complete above problem as per following technique. Is it possible to solve in following manner.
30%_________100%
______20%
ratio is 100-20 : 20-30, which is w... | A. 10 B. 15 C. 20 D. 25 E. 30 | C. 20 | We're told that 10g of water are mixed with an unknown amount of 30% barium mixture to form a 20% barium final mixture. We're asked to figure out how much barium mixture we have....
Logically, if we had 10g of water mixed with 10g of barium mixture, we'd end up with a 15% overall mixture, so 10 is NOT the answer. We ne... | high_school_chemistry | chemistry |
mmlu_aux_train_29644 | mmlu_aux_train | Cities could soon be looking after their citizens all by themselves thanks to an operating system(OS) designed for the metropolis. The Urban OS works just like a PC operating system but keeps buildings 9 traffic and services running smoothly. The software takes in data from sensors dotted around the city to keep an eye... | D. provide the latest information for them | college_computer_science | computer_science | ||
mmlu_aux_train_5625 | mmlu_aux_train | Can software bring dead tongues back to life? Probably yes. A computer algorithm works almost as well as a trained linguist in reconstructing how dead " _ " would have sounded, says a new study. "Our computer system is doing a basic job right now," says Alex Bouchard-Cote, an assistant professor in the department of s... | B. allow us to find answers to some historical questions | computer_security | computer_science |
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