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Let $p(x) = x^2-4x+3$. A number $c$ is not in the domain of $g$ if and only if $p(c) = 0$. Hence we have,
$$c^2-4c+3=0.$$Factoring gives us
$$(c-3)(c-1) = 0.$$Solving for $c$ gives us $1$ and $3$. Hence the domain of $g$ is $(-\infty, 1) \cup (1, 3) \cup (3, \infty) $. | $(-\infty, 1) \cup (1, 3) \cup (3, \infty)$ | competition-math | Find the domain of the rational function $g(x) = \frac{x^3-2x^2+4x+3}{x^2-4x+3}$. Express your answer as a union of intervals. |
Two soccer players are both wearing red and the other wearing white, are both going for the soccer ball, while people on the bleachers watch.
| Yes | esnli | Given the statement "Two soccer players, one from a team wearing red and the other wearing white, are both going for the soccer ball, while people on the bleachers watch.", what is the statement "Two soccer players are both going for the ball with people watching." true?
- Yes
- No
- Unknown |
The first sentence are a crowd of people in a marketplace. The second sentence are just women sitting in the room.
| False | esnli | Context: "A crowded marketplace is filled with people, including women with their heads covered with veils." Claim: "Veiled women are sitting in their rooms waiting to leave."
Considering the context, is the claim true, false, or unknown? |
Someone reads the newspaper to gather information, a stamp is not necessarily associated with a newspaper. | b | senmaking | Of the below sentences, which one does *not* make sense?
a. "you would read the newspaper because you want gather information that applies to your family"
b. "you would read the newspaper because you want gather stamp that applies to your family" |
Old English is the earliest form of English during the middle ages. Modern English replaced old English during the seventeenth century. American English was created and spoken during the formation of the first US colonies. The civil war started in 1861, and was a war between the northern states and southern states. | No | strategyqa | Did the confederate states speak Old English before the Civil War? |
When the seasons change from the summer to the fall , the amount of daylight will decrease.
Seasons are caused by the tilt of the earth's axis.
The amount of daylight is caused by the tilt of the earth's axis. | D | qasc | What determines the amount of daylight earth gets?
A) Heat energy
B) The darkness it gets
C) The bending of a ray of light
D) The tilt of the axis
E) The tilt of the sun's axis
F) electromagnetic energy
G) The brightness of the earth
H) rain or sun shine |
The child is wearing rollerskates, but is being pushed along by an adult so may not be actually roller skating.
| Unknown | esnli | Context: "A child in red, wearing rollerskates is being pushed along by an adult in black."
Hypothesis: The child is roller skating
Based on the context, is the hypothesis true, false, or unknown? |
Hepatitis viruses can develop into a chronic viral infection that leads to liver cancer. Infection by human T-lymphotropic virus can lead to tropical spastic paraparesis and adult T-cell leukaemia. Human papillomaviruses are an established cause of cancers of cervix, skin, anus, and penis. Within the Herpesviridae, Kaposi's sarcoma-associated herpesvirus causes Kaposi's sarcoma and body-cavity lymphoma, and Epstein–Barr virus causes Burkitt's lymphoma, Hodgkin's lymphoma, B lymphoproliferative disorder, and nasopharyngeal carcinoma. Merkel cell polyomavirus closely related to SV40 and mouse polyomaviruses that have been used as animal models for cancer viruses for over 50 years. | Tom | ropes | Two brothers got sick and weren't feeling well. Strangely enough they found out they were infected with viruses. Tom was infected with human papillomavirus, while Chris was infected with hepatitis.
Based on the above, answer the following question:
Which brother had a lower risk of developing liver cancer? |
Despite many and varied flurries of activity in the first 40 minutes refers to a period of time when there was a lot going on, while lack of activities mean there was not much going on. | False | FLUTE | Context: "Despite lack of activities in the first 40 minutes , Arsenal seemed reasonably secure if not inspired ."
Hypothesis: Despite many and varied flurries of activity in the first 40 minutes , Arsenal seemed reasonably secure if not inspired .
Based on the context, is the hypothesis true, false, or unknown? |
Just because the person is wearing a mask and holding up a torch doesn't necessarily mean they are performing.
| Unknown | esnli | Context: "A person in an elaborate mask holds up a torch in front of a crowd." Claim: "Someone is performing."
Considering the context, is the claim true, false, or unknown? |
Vacuuming a rug is an activity normally done indoors. A hot air balloon over the Atlantic is outdoors. Also, hot air balloons do not normally have rugs.
| False | esnli | Context: "A little boy tries to vacuum his rug while his older brother watches."
Hypothesis: They take a ride in the hot air balloon over the atlantic
Based on the context, is the hypothesis true, false, or unknown? |
The vampire in Nosferatu is a famously ugly character, so to say someone is as handsome as him would be to say that they are very ugly. | True | FLUTE | Context: "He was very ugly"
Hypothesis: He was as handsome as the vampire in Nosferatu
Based on the context, is the hypothesis true, false, or unknown? |
Introns are regions that do not code for proteins.
An area is a rectangular region of cells.
Introns are areas that do not code for proteins. | (D) | qasc | Introns are areas that
(A) it keeps an organism warm
(B) Plant reproduction
(C) the wearing away of rock
(D) do not code for protein
(E) Something coming from a gland
(F) Plant growth is reduced
(G) allow growth
(H) produce offspring |
A skateboarder is a type of person, and skateboarder flies through the air implies riding a skateboard.
| True | esnli | Context: "A skateboarder flies through the air."
Hypothesis: A person is riding a skateboard.
Based on the context, is the hypothesis true, false, or unknown? |
Just because eight construction workers are high up in the air putting up scaffolding does not mean that the people work on a new skyscraper.
| Unknown | esnli | Given the statement "8 construction workers high up in the air putting up scaffolding.", what is the statement "People work on a new skyscraper." true?
- Yes
- No
- Unknown |
Touch is the ability to sense pressure.
Or, pressure is force per area.
Touch is the ability to sense force. . | [d] | qasc | Touch is the ability to sense what?
Options:
[a] temperature
[b] photons
[c] energy
[d] force
[e] power
[f] motion
[g] voltage
[h] waves |
It can be really frustrating to come back from a relaxing vacation to find that something you were taking care of, like a garden, has died in your absence | True | FLUTE | Context: "When I got back from vacation, most of my garden was dead."
Hypothesis: So pissed off to come back from vacation and see that my garden has died while I was gone
Based on the context, is the hypothesis true, false, or unknown? |
A catalyst works by providing a lower energy pathway from reactants to products. The use of a catalyst involves intermediate reactions which have lower activation complexes than the original reaction. On a simplified reaction energy diagram, this can be thought of as lowering the activation energy for a given transformation. If the activation energy of a reaction is decreased, more collisions will have enough energy to overcome this lower barrier, so the reactant-to-product transformation will occur more frequently. As a result, the overall reaction rate will be higher than for an identical reaction with a larger activation energy barrier. | Beaker t | ropes | A chemist is working in the lab with two beakers, beaker R and beaker T, filled with identical solutions. In her experiment, she is going to pour one liquid into beaker R and the same amount of a different liquid into beaker T. After pouring the liquid into beaker R, there is no noticeable change. Pouring the liquid into beaker T, she observes a change in the liquid.
Based on the above, answer the following question:
Which beaker had a reactant poured into it? |
Water and ice and not considered to contain separate substances. | [2] | senmaking | Which of these sentences doesn't make sense?
[1] "water and ice are the same substance"
[2] "water and ice are not the same substance" |
There can either be a girl in a red shirt playing tennis or a girl playing tennis on a court made of Twizzlers.
| Yes | esnli | Context: A girl in a red shirt is playing tennis.
Hypothesis: A girl is playing tennis on a court made of twizzlers.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Total number of students is sum of number of boys and girls | No | feasibilityQA | There are a few girls in a class and 29 boys.
Question: Is the following statement plausible?
There could be 23 total students in this class. |
For making loss the selling price need to be lower than cost price | No | feasibilityQA | Abraham is a mobile manufacturer. His cost price of making a mobile is 143 dollars.
Q: Is it true that "If he makes a loss then he could be selling the mobile at 180 dollars." |
If someone is about to take a picture of you before you going to eat the fish you could say that she was also about to eat a fish
| No | esnli | Given the statement "Someone took a picture of this lady right before she was about to eat her fish.", is the statement "A woman about to eat fish." wrong?
- Yes
- No
- Unknown |
If someone is running in the mud then they are not also walking in the sand at the same time since mud and sand are different things and people cannot run and walk at the same time.
| False | esnli | Context: "A black man, running in mud, with no shirt on."
Hypothesis: A black man is walking in sand.
Based on the context, is the hypothesis true, false, or unknown? |
Answer : Just because a crowd of people rushing to help the driver of an overturned car does not mean a car turned on its side
| I don't know | esnli | Consider the statement "A group of people are gathered around a car on the ground and a car turned on its side.". Based on this "A crowd of people rushing to help the driver of an overturned car in a crowded street outside." a true statement? Yes, no, or I don't know? |
There is nothing to indicate that the girls are young or that young girls have excellent balance due to a lower center of gravity.
| Unknown | esnli | Context: "One girl is doing a handstand on an outdoor trampoline while another girl stands on the trampoline with one hand in the air."
Hypothesis: Young girls have excellent balance due to lower center of gravity.
Based on the context, is the hypothesis true, false, or unknown? |
One bird having something in its beak does not indicate that only one bird ate that day as one of the birds could have eaten previously or may eat later in the day.
| Unknown | esnli | Consider the staetement "Two seagulls on water, foreground bird has object held in beak.". Based on this statement, is "Only one bird ate that day." a true statement? Yes/no/unknown |
A man training his dog to attack is not necessarily training the dog to attack intruders. There is more than one way for a dog to attack, not just with a bite.
| I don't know | esnli | Consider the statement "A man training a dog to attack his padded left arm.". Based on this "A man trains a dog to bite intruders." a true statement? Yes, no, or I don't know? |
They can be in an auditorium or in a stadium. Looking at a screen does not imply the are watching foot ball.
| No | esnli | Consider the statement "A group of people are sitting in an auditorium looking at a screen on the stage.". Based on this "people watching foot ball in stadium" a true statement? Yes, no, or I don't know? |
A man in blue is not also in black, smiling is the opposite of frowning, and being on a roof is much different from he sits on the porch.
| False | esnli | Context: "Man in blue smiling on a roof." Claim: "A man in black is frowning as he sits on the porch."
Considering the context, is the claim true, false, or unknown? |
Sand mining is a direct cause of erosion, and impacts the local wildlife.[2] Various animals depend on sandy beaches for nesting clutches, and mining has led to the near extinction of gharials (a species of crocodile) in India. Disturbance of underwater and coastal sand causes turbidity in the water, which is harmful for organisms like coral that need sunlight. It can also destroy fisheries, financially harming their operators.
Removal of physical coastal barriers, such as dunes, sometimes leads to flooding of beachside communities, and the destruction of picturesque beaches causes tourism to dissipate. Sand mining is regulated by law in many places, but is often done illegally.[3] Globally, it is a $70 billion industry, with sand selling at up to $90 per cubic yard.[4] | Gulf | ropes | Context:
Two cities located at the sea shore between sand dunes, took 2 different approaches to their economic stability and sources of income for their inhabitants. Dune city was mainly focused on raising cattle, fishing and tourism, while Gulf city started sand mining operations because of the good prices they received per cubic yard of sand.
Q: Which city made less money from tourism? |
Two hockey players are waiting for a puck to be dropped by a referee does not mean they are from different teams
| Unknown | esnli | Context: "Two hockey players are waiting for a puck to be dropped by a referee." Claim: "The hockey players are from different teams."
Considering the context, is the claim true, false, or unknown? |
One man is playing a guitar, another is playing the keyboard and the last is playing a trumpet does not necessary that they were in a band together
| Unknown | esnli | Context: One man is playing a guitar, another is playing the keyboard and the last is playing a trumpet.
Hypothesis: The three men were in a band together
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
People smile usually when they feel happy and satisfied but not mad. | (1) | senmaking | Which of these sentences doesn't make sense?
(1) "he smiles when he gets mad."
(2) "he shouts and screams when he gets mad." |
If someone is dribbling a ball while being guarded by another player, they most probably have skill.
| Yes | esnli | Given the statement "A basketball player wearing white dribbles the ball, while being guarded by another player in a black uniform.", what is the statement "A basketball player is dribbling a ball with skill." true?
- Yes
- No
- Unknown |
The first sentence states they is a group standing by the gate it doesn't indicate they are waiting for it to be opened.
| Unknown | esnli | Context: A group of children in blue clothes stand by a gate.
Hypothesis: Some children standing by a gate are waiting for it to be opened.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Besides anthropogenic productivity of the land, the biodiversity of degraded land also declines, as previously mentioned.[12] With less biodiversity, this ecosystem is less adaptable to when disasters strike it[11][8] It has a smaller available food supply, in terms of plants, for animals, who then may die out or more likely may relocate. Proof of this decline is that presently 15-20% of Tibetan Plateau species are now considered endangered; and now because of this animal and plant absence, the soil quality of these degraded lands is very poor.[1] It does not hold the necessary nutrients, such as water, nitrogen, and carbon, essential to either supporting life or inviting life back to that land.[6] As a result of such carbon and nitrogen loss in the Tibetan Plateau, $8,033/ha and $13,315/ha were respectively lost in economic terms. Soils are further weakened by dust storms whose frequency increases because of degradation.[11][4] Erosion of soil becomes a bigger problem, since no longer are there as many plants to anchor in the soil. In the northern Chinese province alone, 400 million are affected every year with an associated 54 billion yuan of annual economic loss due to grassland degradation. | Nepal | ropes | Consider the following text:
The extensive grazing in Tibet lead to carbon and nitrogen loss, subject to desertification, while Nepal adopted a different approach to food production, putting nature and biodiversity first.
Which country resourced to a less extensive grazing of the grasslands? |
To be sick as a dog means to be very ill, but in this context the person is not vomiting and is instead healthy. | False | FLUTE | Context: "Three hours later I was on hands and knees under the cotton trailer, very healthy and not feeling nauseous at all."
Hypothesis: Three hours later I was on hands and knees under the cotton trailer, as sick as a dog.
Based on the context, is the hypothesis true, false, or unknown? |
In erosion, the higher the elevation, the farther the stream is from where it will reach base level and the more cutting it has to do. | decreases | quartz | If Milo is observing a stream at a low elevation and he follows the stream up to a lower elevation, what happens to the amount of cutting the stream has to do when eroding the stream bed beneath it?
* increases
* decreases |
- Aurora is a kind of atmospheric phenomena
- An aurora is created by charged particles interact with magnetosphere
- Hence, an aurora is an atmospheric phenomena that is created by charged particles interacting with magnetosphere
- "Old is the opposite of new " is not a useful statement here
Hence, an aurora is an atmospheric phenomena that is created by charged particles interacting with magnetosphere | auroras | entailment_bank | [Question]Which atmospheric phenomena are created by the interaction of charged particles with Earth's magnetosphere?
[Context]- Old is the opposite of new
- Aurora is a kind of atmospheric phenomena
- An aurora is created by charged particles interact with magnetosphere |
For $r = 4 \cos \theta,$
\begin{align*}
x &= r \cos \theta = 4 \cos^2 \theta = 2 \cos 2 \theta + 2, \\
y &= r \sin \theta = 4 \sin \theta \cos \theta = 2 \sin 2 \theta.
\end{align*}Hence,
\[(x - 2)^2 + y^2 = 4 \cos^2 2 \theta + 4 \sin^2 2 \theta = 4.\]Thus, the graph of $r = 4 \cos \theta$ is the circle centered at $(2,0)$ with radius 2.
For $r = 8 \sin \theta,$
\begin{align*}
x &= r \cos \theta = 8 \sin \theta \cos \theta = 4 \sin 2 \theta, \\
y &= r \sin \theta = 8 \sin^2 \theta = 4 - 4 \cos 2 \theta.
\end{align*}Hence,
\[x^2 + (y - 4)^2 = 16 \sin^2 2 \theta + 16 \cos^2 2 \theta = 16.\]Thus, the graph of $r = 8 \sin \theta$ is the circle centered at $(0,4)$ with radius 4.
Plotting these circles, we find that they intersect at $2$ points.
[asy]
unitsize(0.5 cm);
pair moo (real t) {
real r = 4*cos(t);
return (r*cos(t), r*sin(t));
}
path foo = moo(0);
real t;
for (t = 0; t <= pi + 0.1; t = t + 0.1) {
foo = foo--moo(t);
}
draw(foo,red);
label("$r = 4 \cos \theta$", (6.5,-1), red);
pair moo (real t) {
real r = 8*sin(t);
return (r*cos(t), r*sin(t));
}
path foo = moo(0);
for (t = 0; t <= pi + 0.1; t = t + 0.1) {
foo = foo--moo(t);
}
draw(foo,blue);
label("$r = 8 \sin \theta$", (6.5,5), blue);
draw((-6,0)--(6,0));
draw((0,-2)--(0,10));
dot((2,0));
dot((0,4));
[/asy] | $2$ | competition-math | How many times do the graphs $r = 4 \cos \theta$ and $r = 8 \sin \theta$ intersect? |
East Antarctica is colder than its western counterpart because of its higher elevation. Weather fronts rarely penetrate far into the continent, leaving the centre cold and dry. Despite the lack of precipitation over the central portion of the continent, ice there lasts for extended periods. Heavy snowfalls are common on the coastal portion of the continent, where snowfalls of up to 1.22 metres (48 in) in 48 hours have been recorded. | Alpha | ropes | Two teams of scientists were in Antarctica to study the weather. Camp Alpha was located in East Antarctica, while camp Omega was situated in West Antarctica.
Based on the above, answer the following question:
Which camp experienced more weather fronts? |
Han Solo is an ace pilot ally in the Star Wars universe. The US Air Force requires candidates to be between 18 and 35 years old. Return of the Jedi's Han Solo is 36 years of age. The US Air Force requires a candidate to be an American citizen. Han Solo is from the planet Corellia in a galaxy far, far, away. | Yes | strategyqa | Would United States Air Force consider Return of the Jedi's Han Solo bad hypothetical candidate? |
A singular model, signified by the word "the" is different from a group of people including a man, a woman and an older woman.
| No | esnli | Given the statement "A man and woman have their arms around each other while an older woman in orange sits next to them.", is the statement "The model is preparing to walk out in the designers new clothing line." is true?
- Yes
- No
- I don't know |
Farsightedness, or hyperopia, is the condition in which distant objects are seen clearly, but nearby objects appear blurry. It occurs when the eyeball is shorter than normal (see Figure below ). This causes images to be focused in a spot that would fall behind the retina (if light could pass through the retina). Hyperopia can be corrected with convex lenses. The lenses focus images farther forward in the eye, so they fall on the retina instead of behind it. | Worse | ropes | Context:
Ian is looking to buy a new pair of glasses. When he goes to the eye doctor he is told he is Farsighted. He is outside he can see things that are far away very clearly but when things are close to him they get blurry. With his new glasses he is now able to see things that are near him because they focus what he sees farther forward in his eyes,
Q: Will Ian be able to see nearby object better or worse without glasses? |
Just because a man and a woman wearing with sports coats are walking across a crosswalk, doesn't mean that they are waiting to cross at a crosswalk.
| Unknown | esnli | Context: "A tall, dark-haired man in white sport coat and black slacks is walking along a tiled mosaic crosswalk of various colors and designs beside a woman with short, dark hair who is also wearing a white sport coat but with blue jeans." Claim: "A man and woman are waiting to cross at a crosswalk."
Considering the context, is the claim true, false, or unknown? |
In 6 days, Macy is able to run 3 x 6 = 18 miles.
Therefore, she has 24 – 18 = 6 miles left to run to meet her goal. | 6 | gsm8k | Macy has a goal of running a total of 24 miles per week. If she runs 3 miles per day, how many miles does Macy have left to run after 6 days so that she could meet her goal? |
There are six sections in which the spinner can come to rest, and it is equally likely that it will come to rest in each of the sections. Thus, the probability that it will come to rest in one of the two shaded regions is $\frac{2}{6} = \frac{1{3}}$. | $\frac{1$ | competition-math | A game board is constructed by shading two of the regions formed by the altitudes of an equilateral triangle as shown. What is the probability that the tip of the spinner will come to rest in a shaded region? Express your answer as a common fraction. [asy]
import olympiad; size(100); defaultpen(linewidth(0.8));
pair A = (0,0), B = (1,0), C = (0.5,sqrt(3)/2);
pair D = (A + B)/2, E = (B + C)/2, F = (C + A)/2;
pair M = intersectionpoint(A--E,B--F);
draw(A--B--C--cycle);
draw(A--E^^B--F^^C--D);
filldraw(D--M--B--cycle,fillpen=gray(0.6));
filldraw(F--M--C--cycle,fillpen=gray(0.6));
draw(M--(0.4,0.5),EndArrow(size=10));
[/asy] |
A bearded worker is different than a worker who may or may not have a beard. On a power or telephone pole is different than being in the machine shop.
| No | esnli | Given the statement "Wearing a white hard hat and green shirt, a bearded worker climbs up a power or telephone pole.", what is the statement "The worker was in the machine shop." true?
- Yes
- No
- Unknown |
Another obvious change that occurs during puberty is rapid growth. This is called the adolescent growth spurt . In boys, it is controlled by testosterone. The rate of growth usually starts to increase relatively early in puberty. At its peak rate, growth in height is about 10 centimeters (almost 4 inches) per year in the average male. Growth generally remains rapid for several years. Growth and development of muscles occur toward the end of the growth spurt in height. Muscles may continue to develop and gain strength after growth in height is finished. | Walter | ropes | Consider the following text:
Joseph and Walter are two brothers who have always gotten along well, but are now going to be separated for the first time in their lives. Walter has just graduated high school and is going off to live at college several states away from home. Joseph is about to be a freshman in high school, so he has several years before he will even have the possibility of going off to the same college as his brother.
Whose muscles are more developed? |
People waiting to enter a white building through an entry way with an orange handwritten sign to the left of it. enter the building.
| True | esnli | Context: "People waiting to enter a white building through an entry way with an orange handwritten sign to the left of it."
Hypothesis: People are waiting to enter the building.
Based on the context, is the hypothesis true, false, or unknown? |
Calling into work and telling them you're sick when you're not is considered to be lying and irresponsible since it causes inconvenience to the workplace | No | FLUTE | Given the statement "I called into work and told them I was sick and left them short handed.", is the statement "I am such a responsible employee for calling into work and telling them I was sick and then cowardly leaving them short handed" is true?
- Yes
- No
- I don't know |
Ancinet Greek is a dead language so very few would understand it, hence the simile highlights how difficult it is to understand him | False | FLUTE | Context: "I understand him"
Hypothesis: I understand him as easy as ancient Greek
Based on the context, is the hypothesis true, false, or unknown? |
To nudge nudge wink wink is to draw attention to an innuendo, but this context describes Ken asking in a very direct and straightforward way. | Yes | FLUTE | Consider the statement "Ken asked in a very direct and straightforward kind of a way.". Is the statement "Ken asked in a nudge nudge wink wink kind of a way." false? Yes/no/unknown |
A man is being held by two men wearing security uniforms, while standing outside in front of a sign advertising for Samsung does not mean that they are escorting a man off of the premises
| Unknown | esnli | Given the statement "A man is being held by two men wearing security uniforms, while standing outside in front of a sign advertising for Samsung.", is the statement "Two security officers are escorting a man off of the premises" wrong?
- Yes
- No
- Unknown |
每4个3相乘，尾数是1.因$$2006=4\times 501+2$$，所以2006个3相乘的尾数为$$3\times 3=9$$;每4个7相乘，尾数为1，因$$100=4\times 25$$，所以100个7相乘的尾数为1;故两个积的个位数字相减，结果为$$9-1=8$$，选D | [D] | TAL-SCQ5K | $$3\times 3\times \cdots \times 3$$(2006个3)减去$$7\times 7\times \cdots \times 7$$(100个7)，得数的个位数字是( ).
[A] $$0$$
[B] 2
[C] 6
[D] 8 |
It doesn't refer that she is waiting in a line and just because she is looking a carnival ride doesn't mean she has to ride on the carnival rides
| Unknown | esnli | Context: "A woman with a black shirt is looking at a carnival ride." Claim: "A woman is waiting in line to ride one of the carnival rides."
Considering the context, is the claim true, false, or unknown? |
Hiv infects and destroys helper t cells.
Because hiv attacks t cells, it essentially paralyzes the immune system.
Hiv attacks the immune system. | 8 | qasc | what system does HIV attack?
Options:
1) complex
2) humans
3) infection
4) organ
5) brain
6) animals
7) spinal
8) immune |
People cannot be walking in the shopping district and be running through a forest at the same time.
| Yes | esnli | Given the statement "An Asian couple walks in the shopping district.", is the statement "Two people are running through a forest." wrong?
- Yes
- No
- Unknown |
People could be listening to a GPS, on a phone, instead of looking at a map while walking instead of driving.
| I don't know | esnli | Given the statement "A couple are trying to find the place they want to go.", is the statement "Two people are looking at a map while driving." is true?
- Yes
- No
- I don't know |
The library is a public place where it is frowned upon to sleep. | (B) | senmaking | Of the following two sentences, which one is against common sense?
(A) "the library is a good place to study because of its quiet environment"
(B) "the library is a good place to sleep because of its quiet environment" |
A deadly medical procedure would injure you not help you recover. | a | senmaking | Which of these sentences doesn't make sense?
Options:
a. "the patient underwent the deadly medical procedure to recover"
b. "the patient underwent the risky medical procedure to recover" |
The solubility of the gas in a solvent is inversely proportional to temperature. | Yes | feasibilityQA | To understand the phenomenon of how dissolved oxygen in water is important to the survival of fish, Atlas is studying the solubility of two gases at two different temperature. The temperature of a gas was 240 K when the solubility is higher.
Q: Is it true that "Temperature of the other gas could be 249 K." |
It is not possible for two people to walk by a street vendor while playing ping pong in their basement.
| False | esnli | Context: "A young couple walk past a street vendor selling food." Claim: "A young couple is playing ping pong in their basement."
Considering the context, is the claim true, false, or unknown? |
The closer the field lines are drawn together, the stronger the field being described. | b | quartz | Will draws some field lines very far apart from each other. This field is likely
a: strong
b: weak |
Men are people, and if people stand against the railing and watch the sunset, that could entail that men stood against the railing to watch the sunset.
| True | esnli | Context: "Two people stand against the railing above the water and watch the sunset." Claim: "The Men stood against the railing above the lake to watch the sunset."
Considering the context, is the claim true, false, or unknown? |
Five Asian doctors are having a discussion over what appears to be an ongoing operation does not infer doctors are discussing about a patient.
| Unknown | esnli | Consider the staetement "Five Asian doctors in green hospital scrubs and masks having a discussion over what appears to be an ongoing operation.". Based on this statement, is "Doctors discussing about a patient." a true statement? Yes/no/unknown |
A woman with sunglasses and an older woman are using a crosswalk in a large city, so two women are crossing a large city road.
| True | esnli | Context: "A woman with sunglasses on, and an older woman cross a crosswalk in a large city."
Hypothesis: Two women cross a large city road.
Based on the context, is the hypothesis true, false, or unknown? |
Regardless of whether anything is being done with it, there is explicitly a piece of paper on a table.
| Yes | esnli | Context: An old balding man is writing on a piece of paper on a table.
Hypothesis: There is a piece of paper on a table.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
When the temperature of reactants is higher, the rate of the reaction is faster. At higher temperatures, particles of reactants have more energy, so they move faster. They are more likely to bump into one another and to collide with greater force. For example, when you fry an egg, turning up the heat causes the egg to cook faster. The same principle explains why storing food in a cold refrigerator reduces the rate at which food spoils (see Figure below ). Both food frying and food spoiling are chemical reactions that happen faster at higher temperatures. | Coffee b | ropes | Context:
John just opened a coffee shop. He offers two types of coffee, coffee A and coffee B. In coffee A he mixes ingredients in hot water, but in coffee B he mixes ingredients in cold water. He also notices that his shop gets very busy in the morning, but during evening he doesn't have many customers.
Q: Which coffee would be difficult to offer in the morning, coffee A or coffee B? |
$$2006$$年有$$365$$天，而$$365=7\times 52+1$$，又已知$$2006$$年有$$53$$个星期天，只能元旦是星期天，且$$12$$月$$31$$日也是星期日，所以，$$2007$$年月的元旦是星期一． | 星期一 | TAL-SCQ5K | 奶奶告诉小明：``$$2006$$年共有$$53$$个星期日，聪敏的小明立到告诉奶奶：$$2007$$年的元旦一定是．
* 星期一
* 星期二
* 星期六
* 星期日 |
Not all girl playing next to a fire hydrant that is spraying water is playing on her summer vacation.
| Unknown | esnli | Given the statement "A young girl is playing next to a fire hydrant that is spraying water.", what is the statement "A girl is playing on her summer vacation." true?
- Yes
- No
- Unknown |
A footpath lined with lampposts in front of a large building doesn't necessarily mean that the large building is lit up. It also does not mean that it is the evening.
| Unknown | esnli | Given the statement "A footpath lined with lampposts in front of a large building with two people walking in the distance.", what is the statement "The large building is lit up in the evening." true?
- Yes
- No
- Unknown |
A man on a street must be outdoors and can't be inside. Someone playing didgeridoo is engaging in a different activity than staring at the rain.
| False | esnli | Context: "Man playing didgeridoo in front of Calvin Klein ad on street." Claim: "Man inside staring at the rain."
Considering the context, is the claim true, false, or unknown? |
Every worm has two sperm receptacles. | No | feasibilityQA | Lucas in a science class was taught about the reproduction process of different species. His professor told the class that a species has two sperm receptacles.
Question: Is the following statement plausible?
The species could have been a pigeon. |
A man with a goatee means a bearded man and of him stands at a city corner means near a street corner.
| Yes | esnli | Consider the staetement "A man with a goatee, sunglasses, and a beret stands at a city corner with newspaper dispensers.". Based on this statement, is "A bearded man is standing near a street corner." a true statement? Yes/no/unknown |
- Corrosive substance can cause harm to the eyes
- Acids are corrosive
- A base is corrosive
- Therefore, acids and bases can cause harm to the eyes
- Acids and bases can cause harm to the eyes
- Students have to work with acids and bases for experiments
- Hence, acids and bases may cause harm to students' eyes during experiments
- Acids and bases may cause harm to students' eyes during experiments
- Safety goggles are used for protecting the eyes during experiments
- Therefore, safety goggles can be used to protect students' eyes from acids and bases
So, safety goggles can be used to protect students' eyes from acids and bases | put on safety goggles | entailment_bank | Q: What safety rule is most important for students to follow when working with acids and bases?
Context:
- Safety goggles are used for protecting the eyes during experiments
- Students have to work with acids and bases for experiments
- Corrosive substance can cause harm to the eyes
- Acids are corrosive
- A base is corrosive |
Making these healthy lifestyle choices can also help prevent some types of cancer. In addition, you can lower the risk of cancer by avoiding carcinogens , which are substances that cause cancer. For example, you can reduce your risk of lung cancer by not smoking. You can reduce your risk of skin cancer by using sunscreen. How to choose a sunscreen that offers the most protection is explained below ( Figure below ). Some people think that tanning beds are a safe way to get a tan. This is a myth. Tanning beds expose the skin to UV radiation. Any exposure to UV radiation increases the risk of skin cancer. It doesn’t matter whether the radiation comes from tanning lamps or the sun. | Equally likely | ropes | Consider the following text:
Keith is a doctor at the city hospital. Today, he is seeing six patients, patient A, patient B, patient C, patient D, patient E, and patient F. Patient A is a smoker, but patient B is not a smoker. Patient C uses sunscreen, but patient D does not use any sunscreen. Patient E tans with tanning lamps, but patient F tans in the sun.
Would patient E more likely or equally likely to risk skin cancer as patient F? |
The lady and the man that wander aimlessly definitely are not the ones reading a compass and one pointing to the paper respectively.
| False | esnli | Context: "A young lady with brown hair is reading a compass while the man next to her points to a paper." Claim: "A young lady and a man wander aimlessly."
Considering the context, is the claim true, false, or unknown? |
Just because a boy is touching snow on the ground does not mean there is the activity of building a snowman.
| I don't know | esnli | Consider the statement "A young boy touches the snow on the ground.". Based on this "The young boy is building a snowman." a true statement? Yes, no, or I don't know? |
We don't know if the child sings songs or not. He could be talking to someone or he could be silent.
| Unknown | esnli | Context: "A child washes rocks in a small tub." Claim: "A child sings songs as he cleans rocks"
Considering the context, is the claim true, false, or unknown? |
Most people would not feel cheerful when they are unable to use electricity which is a basic necessity in today's world. | False | FLUTE | Context: "I was terrified when we had a major ice storm and the electricity was out for weeks. "
Hypothesis: I was cheerful when we had a major ice storm and the electricity was out for weeks
Based on the context, is the hypothesis true, false, or unknown? |
With colorful buildings in the background is inferred as with colorful buildings in the background.
| Yes | esnli | Consider the staetement "A man with dreadlocks and a backpack walks down the sidewalk with colorful buildings in the background.". Based on this statement, is "A man walks down the sidewalk with buildings in the background." a true statement? Yes/no/unknown |
The young boy and girl on steps outside doors does not imply they are waiting outside the gym doors and waiting for someone in the rain.
| I don't know | esnli | Context: Young, hooded boy and girl huddle on steps outside large doors.
Hypothesis: A young boy and girl sit outside in the rain as they wait for someone to open the gym doors.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
John bought 50-15 = 35 eBook readers.
John has 35-3 = 32 eBook readers after losing some.
Together they have 50+32 = 82 eBook readers. | 82 | gsm8k | John and Anna bought some eBook readers. John bought 15 eBook readers less than Anna did. Unfortunately, John lost 3 eBook readers. If Anna bought 50 eBook readers, how many eBook readers do they have altogether? |
Gases released during the use of fossil fuels causes global warming.
Sea level rise is caused by global warming and the fastest growing source is air traffic.
Gases released during the use of fossil fuels causes sea level rise. | B | qasc | What do fossil fuel gases cause?
A) Extra money
B) Sea level rise
C) forest is destroyed
D) Mining opportunity
E) population movement
F) Dehydration
G) deforestation
H) oxygen |
- A lake is a kind of body of water
- A body of water is a kind of environment
- Hence, a lake is a kind of environment
- A lake is a kind of environment
- As population of predators increases , the population of prey will decrease in an environment
- Therefore, as the population of predators in a lake decreases the population of prey will decrease in that lake
- As the population of predators in a lake decreases the population of prey will decrease in that lake
- Population is a measure of the number of a species in an environment
- So, as the number of predators in a lake decreases the number of prey will decrease in that lake
- Predators eat prey
- If an animal eats other animals for food , then the animal will be the predator
- Hence, if an animal eats another animal then the animal will be the predator and the other animal will be the prey
- If an animal eats another animal then the animal will be the predator and the other animal will be the prey
- Fish eat insects
- Therefore, fish are predators to insects and insects are prey to fish
- As the number of predators in a lake decreases the number of prey will decrease in that lake
- Fish are predators to insects and insects are prey to fish
- So, as the number of fish in a lake increases the number of insects in that lake will decrease
- As the number of fish in a lake increases the number of insects in that lake will decrease
- If something decreases in number then there will be fewer of that something
- So, if the number of fish in a lake increases there will be fewer insects in that lake
Hence, if the number of fish in a lake increases there will be fewer insects in that lake | There will be fewer insects in the lake. | entailment_bank | The number of fish in a lake suddenly increases. How will the increase most likely affect the lake?
- Fish eat insects
- Population is a measure of the number of a species in an environment
- If something decreases in number then there will be fewer of that something
- A lake is a kind of body of water
- Predators eat prey
- If an animal eats other animals for food , then the animal will be the predator
- A body of water is a kind of environment
- As population of predators increases , the population of prey will decrease in an environment |
Not all checkpoints on a marathon have crowds. The checkpoint could easily be in an isolated location on the route and there is no way of knowing that a crowd is cheering.
| Unknown | esnli | Context: A marathon runner either starting or passing through a checkpoint at a fundraiser marathon.
Hypothesis: A crowd is cheering on a runner as she passes a checkpoint.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Either the woman is seated in a store, or she chases after a cart. She physically cannot do both simultaneously.
| Yes | esnli | Given the statement "Beautiful asian girl wears a blue and white striped dress with thigh high boots seated in a clothing store.", is the statement "A woman chases after a shopping cart that is rolling away." wrong?
- Yes
- No
- Unknown |
Sentence 1: The girls are dancing and wearing leather outfits. Sentence 2: The girls' outfits were from the same company.
| Unknown | esnli | Consider the statement "The girls are dancing and wearing leather outfits.". Is the statement "The girls' outfits were from the same company." false? Yes/no/unknown |
A man sits on the grass playing a musical instrument with cherry blossoms beside him does not indicate that he sings a song for an audience under a tree.
| Unknown | esnli | Context: A man sits on the grass playing a musical instrument with cherry blossoms beside him.
Hypothesis: A man sings a song for an audience under a tree.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Several men sitting and talking in an area filled with palm trees does not imply that they are having a party.
| Unknown | esnli | Given the statement "Several men are sitting around talking and laughing in an area that is filled with palm trees.", what is the statement "The group of male friends are having a party under the palm trees." true?
- Yes
- No
- Unknown |
Let x represent the number of chickens that Colten has
Skylar:3x-4
Quentin: 25+2(3x-4)=25+6x-8=6x+17
Total:x+3x-4+(6x+17)=383
10x+13=383
10x=370
x=37 chickens | 37 | gsm8k | Quentin, Skylar, and Colten have a total of 383 chickens. Quentin has 25 more than double the chickens that Skylar has. Skylar has 4 less than triple the number of chickens that Colten has. How many chickens does Colten have? |
Just because a woman is sleeping on a park bench does not mean she's homeless, she could just be tired.
| Unknown | esnli | Context: "A woman sleeping on a park bench with pigeons behind her." Claim: "The woman is homeless."
Considering the context, is the claim true, false, or unknown? |
Not all business suits are a dark suit and jeans and a t-shirt do not always apply to being poorly dressed.
| Unknown | esnli | Context: "A well dressed asian businessman walking ahead of a poorly dressed asian man in front of a white tile wall." Claim: "A man in a dark suit walks in front of another man in jeans and a t-shirt."
Considering the context, is the claim true, false, or unknown? |
$$(2a+5b)-\frac{1}{2}(4a-4b)=2a+5b-2a+2b=7b$$，选$$\text{D}$$． | d | TAL-SCQ5K | 从$$2a+5b$$减去$$4a-4b$$的一半，应当得到（~ ~ ~）．
a. $$4a-b$$
b. $$b-a$$
c. $$a-9b$$
d. $$7b$$ |
The higher the amperes of the input, the faster the power bank will recharge. | Yes | feasibilityQA | Noah bought two power banks and wanted to see the one that charges fast. The one charging fast has the input amperes as 12 units.
Q: Is it true that "The input amperes of the other power bank could be 10 units." |
People can be in a field for reasons other to investigate something. Also, brown plants do not mean that something is dying.
| Unknown | esnli | Consider the statement "Three people in a field of brown plants.". Is the statement "Three people investigate why the plants are dying in the field." false? Yes/no/unknown |
"Playing a guitar and drums next to a building" is a rephrasing of "next to a building playing a guitar and drums".
| Yes | esnli | Consider the staetement "Two men next to a building playing a guitar and drums.". Based on this statement, is "Two men are playing a guitar and drums next to a building." a true statement? Yes/no/unknown |
The farther the object is stretched or compressed, the greater its elastic potential energy is. | [a] | quartz | Letting a stretched a rubber band become looser _____ its elastic potential energy.
[a] decreases
[b] increases |
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