rationale stringlengths 0 4.7k | target stringlengths 1 171 | source stringclasses 13
values | prompt stringlengths 16 2.02k |
|---|---|---|---|
Since $81 = 3^4$, we have \[3^m = (81)^{\frac12} = (3^4)^{\frac12} = 3^{4\cdot \frac12} = 3^2,\] which means $m=2$. | $2$ | competition-math | $(81)^{\frac12}=3^m$. Find $m$. |
It is unlikely for their to be a bright sun at the same time as rain, weather is typically one or the other.
| No | esnli | Consider the statement "Sunbathers frolic on the beach under a bright sun.". Based on this "sunbathers are enjoying the rain" a true statement? Yes, no, or I don't know? |
Nil | [C] | TAL-SCQ5K | On Monday morning, a snail fell down a well which is $$5$$ metres deep. During the day, it climbs up $$2$$ metres, and during the night it slides down $$1$$ metre. On what day of the week will the snail get out of the well?
[A] $$$$Tuesday
[B] $$$$Wednesday
[C] $$$$Thursday
[D] $$$$Friday
[E] $$$$Monday |
A man and another man are men. People who are pushing during football practice are practicing football.
| Yes | esnli | Given the statement "A man in a blue shirt is pushing another man in a white shirt during football practice.", is the statement "Men are practicing football" is true?
- Yes
- No
- I don't know |
Since the word score after being tripled was 30 points, then the word score before tripling was 30/3=10 points.
If before the word score was tripled, the first and third letters were each valued at one point apiece, then the value of the middle letter was 10-1-1=8 points. | 8 | gsm8k | Jeremy loves to play Scrabble. He once played a three-letter word on a triple word score to earn thirty points. If before the word score was tripled, the first and third letters were each valued at one point apiece, how much was the middle letter valued at before the word score was tripled? |
Parking garages are everywhere. There could definitely be two men standing in a UK parking garage at any time.
| True | esnli | Context: "Two men in orange vests and hard hats are at a parking garage in the UK standing by a post." Claim: "Two men stand in a parking garage."
Considering the context, is the claim true, false, or unknown? |
A woman is not a boy or a dog; one cannot be putting on makeup while chasing something or being chased.
| No | esnli | Consider the staetement "Young woman in black leather jacket, with long red-hair, outside and putting on makeup.". Based on this statement, is "A boy and a dog chasing each other around a tree" a true statement? Yes/no/unknown |
Stack the two numbers as shown below ,~ lining up the unit digits Remember that the 2 in 628 stands for 2 tens(20) ,the 6 in the 628 stands for 6 hundreds(600) First, multiply the ones~ $6\times8=48$~, regroup the 4 tens to the tens column Write 8 in the ones place. Then,~ Multiply and add the tens .~$2\times6+4=16... | D | TAL-SCQ5K | What is the product of $$628$$ and $$6$$?（)
A) $$3628$$
B) $$3668$$
C) $$3728$$
D) $$3768$$ |
Just because we know how to look for our veggies, it does not mean that we know how to find them or that fruits would be included with the veggies.
| Unknown | esnli | Consider the staetement "We know how to look for our veggies.". Based on this statement, is "We know how to find our fruits and vegetables." a true statement? Yes/no/unknown |
There can only be either a man and woman or a group of people. Suits and dresses are not the only type of wedding attire.
| Unknown | esnli | Consider the statement "A man and women standing outside in wedding attire.". Is the statement "A group of people are in suits and dresses." false? Yes/no/unknown |
That the people are all friends or that any of them are friends or good friends are all things that cannot be inferred from sentence 1.
| Unknown | esnli | Given the statement "A group of people are hiking along a grassy area.", is the statement "The people are all good friends." wrong?
- Yes
- No
- Unknown |
In sentence 1 it was a white man and an African american and in sentence 2 it is a group of Asian Americans. Both statements cannot be true simultaneously.
| False | esnli | Context: "A white man and an African American appear to be sitting in front of a scenery with plants and a tree."
Hypothesis: A group of asian americans are out at an amusement park.
Based on the context, is the hypothesis true, false, or unknown? |
If $a◆b$~ represents$(a\times b)+b$ , $2◆3=(2\times3)+3=9$ . So the answer is $\rm B$. | (2) | TAL-SCQ5K | If $ a◆b$ means$(a\times b)+b$ , then $2◆3$ has the value．
(1) $$12$$
(2) $$9$$
(3) $$8$$
(4) $$6$$ |
There is a difference between people walking in the rain versus a storm with thunder and lightning.
| Unknown | esnli | Consider the staetement "People are walking in the rain with umbrellas and raincoats around the fountain.". Based on this statement, is "People are walking in a thunder and lightning storm." a true statement? Yes/no/unknown |
Ethologists usually study how animals behave in their natural environment.
Animals behave according to instinct.
Ethologists usually study how animals use instincts in their natural environment. | e | qasc | Ethologists study how animals use what in their natural environment
a. Energy
b. Chlorophyll
c. fur
d. digestion
e. instincts
f. lungs
g. an object
h. Energy. |
Plant reproduction often requires pollen.
Bees carry pollen from one plant to another when they collect both nectar and pollen.
Plant reproduction often requires bees. | [E] | qasc | What often requires bees?
Options:
[A] food and shelter
[B] Play dates
[C] important habitats
[D] genetic diversity
[E] Plant reproduction
[F] timers
[G] gene flow
[H] Wasp study |
Malls are not usually a place to find lions. | [A] | senmaking | Of the following two sentences, which one is against common sense?
[A] "a lion is something you will find at a mall"
[B] "a lion is something you will find at a forest" |
His new deadlift is 300*2.5+100=850 pounds
So he added 850-300=550 pounds to his deadlift
This took 18-13=5 years
So he added 550/5=110 pounds per year | 110 | gsm8k | Bobby can deadlift 300 pounds at 13. When he is 18 he can deadlift 100 pounds more than 250% of his previous deadlift. How many pounds did he add per year? |
D = 100 + 150 = 250
S = 36 * 5/18 = 10 mps
T = 250/10 = 25 se | (3) | aqua | How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
(1) 22 sec
(2) 77 sec
(3) 25 sec
(4) 18 sec
(5) 17 sec |
Tasers are used by police to jolt criminals and temporarily paralyze them. Spider wasps sting their prey and cause intense pain. The Schmidt sting pain index rates the sting of spider wasps as a 4. The sting of a bullet ant earns the highest rank on the Schmidt sting pain index with a rating of 4+. | No | strategyqa | Would a spider wasp be more effective than a bullet ant to stop a criminal? |
People wear sunglasses when they are outside. If the man was in wearing glasses, he would be outside in front of the building.
| Yes | esnli | Consider the statement "A balding man in red sunglasses wearing a green shirt standing in front of a building.". Based on this "There is a bald person in front of a building" a true statement? Yes, no, or I don't know? |
The boys heading upstream could be walking next to the water, not necessarily in the stream. There is no way to be sure the body of water is a stream since the term upstream can describe moving opposite to the flow of water in any body of water with a current such as a river, brook, stream, tributary, etc.
| Unknown | esnli | Consider the statement "Three boys in swimming trunks walk upstream.". Is the statement "Some boys are in swimwear are walking in the stream." false? Yes/no/unknown |
The two women in glasses are playing clarinets. The elderly woman is playing a stringed instruments
| Yes | esnli | Consider the staetement "Two women, both wearing glasses, are playing clarinets and an elderly woman is playing a stringed instrument.". Based on this statement, is "The women in glasses and the elderly woman are playing music." a true statement? Yes/no/unknown |
The fact that the man is homeless does infer that he is disenfranchised and the orange cones infer construction. However, there is no indication in the first sentence that the man is angry about anything.
| Unknown | esnli | Context: A homeless man in a white cap is standing behind large, orange cones.
Hypothesis: A disenfranchised man is angry about construction.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Vowel: E O
Consonants: V R M N T
First letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)
Fifth letter can be filled in 1 Ways ( As the question states that the last letter has to be a vowel)
Now since each letter can be used only once, and 2 letters out of 7 letters are alread... | 3 | aqua | How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a vowel, and each letter can be used only once?
1. 21
2. 42
3. 120
4. 600
5. 720 |
The store is very busy and clustered with customers and their shopping carts waiting is a synonym of the store is very crowded.
| Yes | esnli | Given the statement "The store is very busy and clustered with customers and their shopping carts waiting in line and shopping.", what is the statement "The store is very crowded." true?
- Yes
- No
- Unknown |
Just because A woman in a red jacket, with a blue and gold handbag is jumping while smiling on a cobblestone street does not indicate that she is young
| Unknown | esnli | Context: "A woman in a red jacket, with a blue and gold handbag is jumping while smiling on a cobblestone street."
Hypothesis: A young woman is jumping rope in the street.
Based on the context, is the hypothesis true, false, or unknown? |
Creating wood-free paper does not require cutting down trees.
Paper media products are printed on paper.
Creating printed media requires cutting down trees. | (7) | qasc | creating what requires cutting down trees
(1) soil
(2) scarce resources
(3) swamp vegetation
(4) steel beams
(5) Greenhouse gases
(6) solar energy
(7) printed media
(8) important habitats |
Metal of the fixture is the material of a metallic object. The yellow of the stoplight is created by light bathed in amber light from a traffic signal.
| Yes | esnli | Consider the statement "The yellow of the stoplight casts a glow on the metal of the fixture.". Based on this "A metallic object is bathed in amber light from a traffic signal." a true statement? Yes, no, or I don't know? |
Boiling is when liquids are heated above their boiling point.
Boiling water can cause burns.
Heating a liquid can cause burns. | (4) | qasc | What can heating a liquid cause?
(1) heat
(2) death
(3) sweat
(4) burns
(5) slime
(6) ice
(7) disease
(8) freezing |
Sitting with a tennis ball and racket would follow sitting and hitting a tennis ball with a racket.
| Yes | esnli | Consider the staetement "A woman sitting on a grassy hill hitting a tennis ball with a racket.". Based on this statement, is "A woman is sitting with a tennis ball and racket." a true statement? Yes/no/unknown |
There are $4$ numbers greater than $7$. Thus, the probability is $\frac4{11}$. | [2] | TAL-SCQ5K | A box contains $11$ cards, numbered from $1$ to $11$. One card is selected randomly from the box. What is the probability that the number on the selected card is greater than $7$? (adapted from 2017 AMC 8 Problem, Question \#10)
Options:
[1] $\frac1{11}$
[2] $\frac4{11}$
[3] $\frac7{11}$
[4] $\frac{10}{11}$
[5] $\... |
Tigers are wild and people are very afraid of them. | [1] | senmaking | Of the below sentences, which one does *not* make sense?
[1] "people like to keep a fierce tiger as a pet"
[2] "people like to have a cute dog as a pet" |
Ecologically, the expansion of drainage systems has had tremendous negative effects. Hundreds of thousands of wetland species experienced significant population declines as their habitat was increasingly fragmented and destroyed. Although market hunting within the Central Flyway was a contributing factor in the decline... | Florida | ropes | Context:
Both Alabama and Florida boast great wetlands. The State of Alabama has experienced extensive drainage system due to expansion of farmlands. Their neighboring state Florida had similar system. But recently Florida had dismantled many of their drainage systems, mostly because of pressure from different environm... |
100 * 10 * 10 = 10000 | 10000 cu.m | aqua | In filling a room with gas 100 m * 10 m * 10 m the volumes of gas will be?
100 cu.m
1000 cu.m
10000 cu.m
100000 cu.m
10000000 cu.m |
A boy playing with a yellow toy boat is rephrasing of a boy is playing with a toy implies he plays with a toy boat.
| No | esnli | Context: A boy playing with a yellow toy boat in brown, murky water.
Hypothesis: A child plays with a toy boat.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
The hat is either a cowboy hat or a sombrero, not both. A person can either be a man or a woman, not both.
| False | esnli | Context: "A man with a cowboy hat is talking with an older man."
Hypothesis: A man with a sombrero is talking to a woman.
Based on the context, is the hypothesis true, false, or unknown? |
Most people feel a sense of embarrassment and shame when they make a mess in public and people around them start to stare | Yes | FLUTE | Consider the statement "I dropped all my food in the cafeteria the other day and everybody was staring at me.". Based on this "I was mortified when I accidentally dropped my food and everyone around me started to stare" a true statement? Yes, no, or I don't know? |
It cannot be inferred that the deer is trying to escape hunters just because it is jumping a fence.
| Unknown | esnli | Consider the statement "A deer is jumping over a fence.". Is the statement "An animal jumps over an impediment as it tries to escape the hunters." false? Yes/no/unknown |
Store a generally close to the road, so standing next to the store is close to standing on the street.
| True | esnli | Context: "People wait in line next to a wine and tobacco store." Claim: "People are standing on the street."
Considering the context, is the claim true, false, or unknown? |
Oatmeal is a really bland food, so the simile is saying that the woman's personality is just as bland. | Yes | FLUTE | Context: The woman had a really dull personality.
Hypothesis: The woman's personality had as intriguing as oatmeal
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Advertisements NEAR a McDonalds can easily be 'adverts' (short for advertisements) FOR McDonalds; given a man and child read the adverts, it's fair to say that the adverts were interesting to those two people.
| True | esnli | Context: "A man in a black coat and hat and a child with a red snowsuit and Pooh backpacker read advertisements near a McDonalds." Claim: "The McDonalds adverts were interesting to the man and the child"
Considering the context, is the claim true, false, or unknown? |
Despite its name, The Onion is not a food, but rather an organization. It is not possible to eat a business organization. | No | strategyqa | Could a delicious recipe be made with The Onion? |
- Blood is a part of the circulatory system
- Digestion is when food is absorbed into the blood stream
- Hence, food is absorbed into the circulatory system through the blood
- Food is absorbed into the circulatory system through the blood
- The circulatory system transports blood throughout the body
- Therefore, the ... | circulatory system | entailment_bank | Q: The primary functions of the digestive system are to break down food, absorb nutrients and excrete wastes. Once food is absorbed, what system is responsible for carrying the nutrients to the body cells?
Context:
- Blood is a part of the circulatory system
- Digestion is when food is absorbed into the blood stream
... |
Other pathogens spread when they get on objects or surfaces. A fungus may spread in this way. For example, you can pick up the fungus that causes athlete’s foot by wearing shoes that an infected person has worn. You can also pick up this fungus from the floor of a public shower or other damp areas. After acne, athlete’... | Homer | ropes | Context: Bart and Homer decide to go bowling to celebrate the start of the weekend. Upon arriving, Bart needs to rent a pair of bowling shoes from the alley since he doesn't own any. Homer brought his own pair of bowling shoes though and doesn't need to rent a pair. They bowl for several hours until their arms are tire... |
The woman may or not be protecting small children. There are other reasons she could be there including directing traffic or helping people cross the road at a special event.
| I don't know | esnli | Context: A woman is holding a stop sign and wearing an orange crossing guard vest and hat.
Hypothesis: The woman is protecting the small children.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
It is not known if the person is talking a group photo with friends or if he wanted to capture the moment with his friends.
| I don't know | esnli | Consider the statement "A person standing on a pillar taking a group photo.". Based on this "A person is wanted to capture the moment with his friends." a true statement? Yes, no, or I don't know? |
A couple of people are standing and the person in the red coat is pointing at the body of water does not imply they are near a body of water
| Unknown | esnli | Context: "A couple of people are standing and the person in the red coat is pointing at the body of water."
Hypothesis: A couple of people are near a body of water.
Based on the context, is the hypothesis true, false, or unknown? |
"Some people" and "people" describes the same thing - multiple people. A city sidewalk is a more specific type of sidewalk.
| True | esnli | Context: "People in mainly business attire hurry along a city sidewalk."
Hypothesis: Some people on a sidewalk.
Based on the context, is the hypothesis true, false, or unknown? |
Sentence one mentions a man standing on a ladder in front of a building sentence to says mans stands on ladder in front of building
| True | esnli | Context: "A dark-skinned man is standing on a ladder painting in front of a building with many windows."
Hypothesis: The man is standing on a ladder in front of a building.
Based on the context, is the hypothesis true, false, or unknown? |
Another example of incomplete dominance is with sickle cell anemia, a disease in which a blood protein called hemoglobin is produced incorrectly. This causes the red blood cells to have a sickle shape, making it difficult for these misshapen cells to pass through the smallest blood vessels. A person that is homozygous ... | Jerry | ropes | Consider the following text:
Tom and Jerry are visiting the doctor today to have blood work done as part of a regular check up. After working on Tom's blood, the doctor tells him that his red blood cells should have no issue traversing his blood vessels. Jerry is told that his red blood cells are struggling to pass thr... |
They are either looking at a physical ball or they are having a ball together by having a good time.
| Yes | esnli | Given the statement "A woman and a girl are looking at a hovering ball together.", is the statement "Two people are having a ball together." wrong?
- Yes
- No
- Unknown |
Africans wearing colorful clothing gather behind a fence does not indicate that they meat behind a fence talking their rights.
| I don't know | esnli | Given the statement "Africans wearing colorful clothing gather behind a fence.", is the statement "Africans meat behind a fence talking their rights." is true?
- Yes
- No
- I don't know |
First figure out how much water all the pigs need: 8 pigs * 3 gallons/pig = 24 gallons
Then figure out how much water one horse needs by multiplying a pig's needs by 2: 3 gallons * 2 = 6 gallons
Now find how much water all the horses need: 10 horses * 6 gallons/horse = 60 gallons
Finally, add up all the animals' water ... | 114 | gsm8k | Carla needs to bring water to her animals. Each horse needs twice as much water as a pig, and the chickens drink from one tank that needs 30 gallons. How many gallons of water does Carla need to bring if she has 8 pigs and 10 horses and each pig needs 3 gallons of water? |
Drought is when amount of precipitation decreases.
Drought causes famine, which contributes to decentralization and unrest.
A decrease in precipitation can cause famine. | F | qasc | What can cause famine?
A) Movement of an air mass
B) Effective fertilizers
C) the ground shaking
D) Increased irrigation
E) Crop harvesting
F) Decreased precipitation
G) single-celled organisms
H) forest is destroyed |
If a girl is dressed up in a white and pink dress that girl is still dressed up, regardless of her specific attire.
| Yes | esnli | Given the statement "Young girl who is dressed up in a white and pink dress smiles as looks on at something.", what is the statement "The young girl dressed up." true?
- Yes
- No
- Unknown |
After round one, she may have $0$ point, $1$ point, $2$points After two rounds, she may have $3$, $4$, $6$, $7$, $8$ points | [a] | TAL-SCQ5K | Susan participates a Math competition. In round one, she needs to solve $2$ problems. If she works out one problem successfully, she will get $1$ point. Otherwise, she will not lose any points. In round two, she also needs to solve $2$ problems. If she works out one problem successfully, she will get $3$ points. Otherw... |
- A rat snake is a kind of animal
- A rat snake is gray
- Hence, a rat snake is a kind of animal that is gray
- An adaptation is a kind of inherited charactersitic that helps an animal survive / reproduce
- The coloration of parts of an animals are inherited characteristics
- Therefore, coloration is a kind of adaptat... | in a gravel pit | entailment_bank | [Question]Rat snakes, Elaphe obsoleta, are a species made of many distinct populations in different areas. Each of the populations has different markings and colorings. Where would rat snakes most likely be gray?
[Context]- Things that are the same color blend into each other
- To blend into something means to be diff... |
A Man playing a instrument doesn't mean it is a drum he is playing in the street or in front of a crowd
| I don't know | esnli | Given the statement "A man in a purple shirt playing a drum in front of a crowd of people.", is the statement "A person playing an instrument on the street." is true?
- Yes
- No
- I don't know |
A man and two women can not be opening a black door and sitting on a blanket. there is also a two women not three women.
| Yes | esnli | Consider the statement "A man and two women are opening a black door.". Is the statement "Three women are sitting on a blanket." false? Yes/no/unknown |
They can only either be riding through a park or outside the park, they cannot do both simultaneously.
| No | esnli | Consider the staetement "Cyclist are riding through a park.". Based on this statement, is "Bikers are outside the park." a true statement? Yes/no/unknown |
Plants detect and respond to the daily cycle of light and darkness.
Bamboos are vigorous, rugged plants.
Bamboo detects and responds to the daily cycle of light and darkness. | bamboo | qasc | What detects and responds to the daily cycle of light and darkness?
- deep-sea dwellers
- fens
- bamboo
- amoeba
- Oak
- asteroids
- apples
- rocks |
We do not know if the man and child are in a parade. They could be in a marching band at a ball game. And we have no way of know if the two are father and son or if they are related at all.
| Unknown | esnli | Given the statement "The man with the big drum is marching next to a boy with a small drum.", is the statement "Father and son drummers are in a parade." wrong?
- Yes
- No
- Unknown |
Scientists think that the earliest flowers attracted insects and other animals, which spread pollen from flower to flower. This greatly increased the efficiency of fertilization over wind-spread pollen, which might or might not actually land on another flower. To take better advantage of this “animal labor,” plants evo... | Group f | ropes | Consider the following text:
Scientists studied two groups of plants. Group F had plants with flowers, group W had plants that fertilize over wind- spread pollen. Flowering plants were more efficient.
Which group of plants has a higher fertilization efficiency? |
Freezing is a common method of food preservation that slows both food decay and the growth of micro-organisms. Besides the effect of lower temperatures on reaction rates, freezing makes water less available for bacterial growth. | 0° f | ropes | Context: Robert, a baker, has just baked a large batch of cupcakes for his store. He won't be able to sell all of his cupcakes within the next week, so he has decided to store a portion of them in the freezer to preserve them for later. He is trying to decide if he should store the cupcakes at 0° F or at 10° F in the f... |
A man walking by and looking at an advertisement poster doesn't see it as a red poster advertising a movie.
| Unknown | esnli | Context: A man wearing a white shirt and jeans is walking by looking at a large advertisement poster.
Hypothesis: A big red poster advertising a movie is seen by a man in blue shoes.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
That she is at the fair with her child is not implied by a woman sitting with a child wearing balloons.
| Unknown | esnli | Context: A lady seated with a child wearing balloons and looking at cellphone
Hypothesis: A woman is at the fair with her child.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
the man is not necessarily a stunt rider, he is not necessarily pulling a trick, and he is not necessarily in X games, even though he's only on the rear wheel of the bicycle.
| Unknown | esnli | Consider the staetement "Man in a red shirt riding a trick bicycle on only the rear wheel.". Based on this statement, is "a stunt rider pulling a trick in X Games" a true statement? Yes/no/unknown |
Plant reproduction requires pollination.
An insect visitor is required for pollination and they have a mixed mating system.
Plant reproduction requires an insect . | b | qasc | plant reproduction requires
a: seeds
b: an insect
c: bloom time
d: sunlight
e: energy
f: Energy.
g: gene flow
h: direct energy |
Kids who climb around a shrine can assumed to be outside or in a sacred building, whereas kids who climb into bed are inside a house.
| Yes | esnli | Context: Some children climb around a shrine.
Hypothesis: Children climb into bed.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Since $x$ is the mean, $$ \begin{aligned} x \& =\frac{60+100+x+40+50+200+90}{7} \textbackslash\textbackslash{} \& =\frac{540+x}{7} . \end{aligned} $$ Therefore, $7 x=540+x$, so $x=$ (D) $90$. | $$90$$ | TAL-SCQ5K | The mean, median, and mode of the $7$ data values $60,100, x, 40,50,200,90$ are all equal to $x$. What is the value of $x$? (2016 AMC 10A Problems, Question \#7)
Options:
- $$50$$
- $$60$$
- $$75$$
- $$90$$
- $$100$$ |
There can be either one or two girls. If both girls are twirling hula hoops, then neither can be swinging on a wing set.
| Yes | esnli | Given the statement "Two girls trying to get attention by twirling hula hoops, one girl wearing a pink skirt is barefoot and the other girl is wearing a denim colored skirt and very worn brown boots.", is the statement "A girl is swinging on a wing set." wrong?
- Yes
- No
- Unknown |
People us fridges to preserve food and not in organic things like electronics. | A | senmaking | Of the below sentences, which one does *not* make sense?
A) "there is a laptop in the fridge."
B) "there is some lunch meat in the fridge." |
If $l$, $w$, and $h$ represent the dimensions of the rectangular prism, we look for the volume $lwh$. We arbitrarily set $lw=6$, $wh=8$, and $lh=12$. Now notice that if we multiply all three equations, we get $l^2w^2h^2=6\cdot8\cdot12=3\cdot2\cdot2^3\cdot2^2\cdot3=2^6\cdot3^2$. To get the volume, we take the square roo... | $24$ | competition-math | A right, rectangular prism has three faces with areas of $6,8$ and $12$ square inches. What is the volume of the prism, in cubic inches? |
A man and a woman are not small children. They're walking down a road, not running through a museum.
| False | esnli | Context: "A man in shorts and a woman in a red long dress are walking down a road with a small white car in the background."
Hypothesis: Two small children are running through a museum.
Based on the context, is the hypothesis true, false, or unknown? |
As shown here, pressure decreases to less than 25% of ground-level atmospheric pressure when we get to an altitude of about six miles. Since this is a common cruising altitude for commercial airplanes, pressurized cabins are needed for the comfort and survival of the passengers. This is because the density of the air d... | Concert | ropes | Consider the following text:
Mark and Jordan want to take a trip together. Mark wants to go mountain climbing while Jordan wants to go to a concert out of state. Jordan sometimes has a hard time breathing as well so they take this into consideration while making the plans for their trip.
Which location should Jordan a... |
The ionization energies of the representative elements generally decrease from top to bottom within a group. This trend is explained by the increase in size of the atoms within a group. The valence electron that is being removed is further from the nucleus in the case of a larger atom. The attractive force between the ... | Atom s | ropes | Joel has just started his first day working as a scientist in a laboratory. The first task he was given is to look at two atoms and to jot down as much information about the two as he can. First, he needs to come up with an identification for these atoms. Since he is new, he decides to keep it professional and simply c... |
Combining the fractions, we get
\[\frac{2x + 16}{(x + 9)(x + 7)} = \frac{2x + 16}{(x + 10)(x + 6)}.\]Hence,
\[(2x + 16)(x + 10)(x + 6) = (2x + 16)(x + 9)(x + 7),\]so
\[2(x + 8)[(x + 10)(x + 6) - (x + 9)(x + 7)] = 2(x + 8)(-3) = 0.\]Thus, $x = -8.$ | $-8$ | competition-math | Solve
\[\frac{1}{x + 9} + \frac{1}{x + 7} = \frac{1}{x + 10} + \frac{1}{x + 6}.\] |
∵$$0\textless{}b\textless{}1$$， ∴$$f(x)={{\log }_{b}}x$$是减函数，又 ∵$$0\textless{}a\textless{}\frac{ \pi }{4}$$， ∴$$0\textless{}\sin a\textless{}\cos a\textless{}1$$， ∴$${{\log }_{b}}\sin a\textgreater{{\log }_{b}}\cos a\textgreater0$$， ∴$${{(\sin a)}^{{{\log }_{b}}\sin a}}\textless{}{{(\sin a)}^{{{\log }_{b}}\cos a}}$$... | $$x\textless{}z\textless{}y$$ | TAL-SCQ5K | 已知$$0\textless{}b\textless{}1$$，$$0\textless{}a\textless{}\frac{ \pi }{4}$$，则下列三数：$$x={{(\sin a)}^{{{\log }_{b}}\sin a}}$$，$$y={{(\cos a)}^{{{\log }_{b}}\cos a}}$$，$$z={{(\sin a)}^{{{\log }_{b}}\cos a}}$$大小关系是（~ ）．
$$x\textless{}z\textless{}y$$
$$y\textless{}z\textless{}x$$
$$z\textless{}x\textless{}y$$
$$x\textless... |
Stacy took 21 ears of corn, there are 14 ears to a bushel, so she took 21 ears / 14 ears/bushel = 1.5 bushels of corn.
In all, Bob gave away 8 bushels + 3 bushels + 12 bushels + 1.5 bushels = 24.5 bushels of corn.
This leaves him with 50 bushels - 24.5 bushels = 25.5 bushels of corn.
At 14 ears of corn per bushel, Bob ... | 357 | gsm8k | Bob grew corn in his garden this year and ended up with 50 bushels. This is way too much for him to eat, so he gave some of it away to his friends. His friend Terry took 8 bushels, while Jerry only took 3. He gave 12 bushels to his friend Linda, who runs a food pantry. His neighbor Stacy doesn't eat much corn, but she ... |
两次分糖剩余之差：$$24+16=40$$（颗）， 每次分糖数之差：$$7-5=2$$（颗）． 小朋友人数：$$40\div2=20$$（人）， 糖果总数：$$20\times5+24=124$$（颗）． 所以选择$$\text{B}$$． | b | TAL-SCQ5K | 幼儿园老师给小朋友分糖果，每个小朋友分$$5$$颗糖果，就多出$$24$$颗；每个小朋友分$$7$$颗糖果，就少$$16$$颗糖果．一共有糖果颗．
a) $$120$$
b) $$124$$
c) $$126$$
d) $$130$$ |
We have to go through slowly and case by case in order to get every solution, then check for extraneous ones. First, we take off the outermost set of absolute value bars, leaving the equations $$ \left\textbackslash{\begin{array}{c} x+\textbar x+2\textbar{} x\textbar\textbar=1 \textbackslash\textbackslash{} x+\textbar ... | (A) | TAL-SCQ5K | How many real solutions does $\textbar x+\textbar{} x+2\textbar x\textbar\textbar\textbar=1$ have?
(A) $$1$$
(B) $$2$$
(C) $$4$$
(D) $$8$$ |
Just because a man in white and glasses working in the lab with gloves on does not indicate that he is tall
| Unknown | esnli | Consider the statement "A man in white and glasses working in the lab with gloves on.". Is the statement "A tall person working." false? Yes/no/unknown |
Members of a brass band looking at their sheet music does not imply they are about to play for a crowd.
| Unknown | esnli | Consider the statement "Members of a brass band look at their sheet music.". Is the statement "A brass band is about to play for a crowd." false? Yes/no/unknown |
Noise causes distratcions and is unhelpful when someone is trying to study. | "people need lots of noise for study" | senmaking | Which of the following two sentences does not make sense?
* "people need lots of noise for study"
* "people need a quiet place for study" |
Lack of moisture in the air causes low amounts of rainfall.
Areas of moderate and low rainfall are drought prone.
Drought prone areas experience a lack of moisture in the air. | H | qasc | A lack of moisture in the air is experienced by what areas?
A. rainy areas
B. Most plants
C. wetlands
D. most cephalopods
E. The atmosphere
F. forests
G. near the shoreline
H. drought prone |
A group of people and their pets on the street is another way of saying that there are two women, a man, and two dogs on a street corner.
| True | esnli | Context: "Two women, a man, and two dogs occupy a street corner." Claim: "A group of people and their pets on the street."
Considering the context, is the claim true, false, or unknown? |
Some individuals have a specific mutation in the primary sequence of their hemoglobin molecules that causes them to aggregate, resulting in a deformation of their red blood cells. This abnormality is genetic in nature. A person may inherit the gene from one parent and have sickle cell trait (only some of the hemoglobin... | Sue | ropes | Context:
Two sisters went to the hospital. The medics ran some blood tests and found out that Sue had sickle cell trait, while Mary had normal blood cells. Sue received treatment.
Q: Which sister has a specific mutation in the primary sequence of their hemoglobin molecules? |
An older gentleman, dressed in jeans and a long-sleeved shirt, tosses a small red ball on the beach does not indicate that a man is tossing a ball for his dog.
| I don't know | esnli | Given the statement "An older gentleman, dressed in jeans and a long-sleeved shirt, tosses a small red ball on the beach.", is the statement "A man is tossing a ball for his dog." is true?
- Yes
- No
- I don't know |
People and watching and woman and swimming are different nouns and the verbs in the sentences are different.
| No | esnli | Consider the staetement "People are watching a person in a weird vehicle in a plaza.". Based on this statement, is "The women are swimming." a true statement? Yes/no/unknown |
The fact that people are standing in a room while someone lies down does not necessarily mean that the people are standing around the person laying down.
| Unknown | esnli | Context: A group of Asians standing in a room while one of them lies on the desk.
Hypothesis: Dudes are standing around a guy laying down.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
An orchestra consists of people with musical instruments. Since they are outside of a church, they are by a building.
| Yes | esnli | Given the statement "An all-woman orchestra in black formal dress prepare to play outside of a church.", what is the statement "A group holds instruments by a building" true?
- Yes
- No
- Unknown |
Bess produces 2 pails every day.
Brownie produces 3 times as much * 2 = 6 pails every day.
Daisy produces 2 + 1 more pail than Bess = 3 pails every day.
Bess, Brownie, and Daisy together produce 2 + 6 + 3 = 11 pails every day.
A week is 7 days, so Farmer Red gets 11 * 7 = 77 pails each week. | 77 | gsm8k | Farmer Red has three milk cows: Bess, Brownie, and Daisy. Bess, the smallest cow, gives him two pails of milk every day. Brownie, the largest cow, produces three times that amount. Then Daisy makes one pail more than Bess. How many pails of milk does Farmer Red get from them each week? |
To be massaged till the cows come home means to be worked on for a very long time, but in this context it is assured that the document will not be worked on for a long time. | Yes | FLUTE | Consider the statement "Be certain that this document will not be worked on for a very long time.". Is the statement "Rest assured, this document will be massaged till the cows come home." false? Yes/no/unknown |
假设玻璃镜框全部完好，玻璃厂应付$$1000\times 5=5000$$元，与实际情况相比少付了$$5000-4475=525$$元，每打碎一个镜框少付$$5+20=25$$元，因此一共打碎了$$525\div 25=21$$个． 故选：$$\text{C}$$． | [3] | TAL-SCQ5K | 某运输公司为玻璃厂运来$$1000$$个玻璃镜框到仓库，双方商定每个玻璃镜框运费$$5$$元，如果打碎$$1$$个，这一个玻璃镜框不但不给运费，而且要赔偿$$20$$元，结果到目的地结算时，玻璃厂共付出运费$$4475$$元，那么运输过程中打碎了个玻璃镜框．
Options:
[1] $$11$$
[2] $$16$$
[3] $$21$$
[4] $$26$$ |
If a tree falls then sunlight becomes available to the surrounding plants.
Plants use sunlight for photosynthesis.
If a tree falls then photosythesis becomes more accessible to surrounding plants. | a tree falling | qasc | What can make photosynthesis more accessible to surrounding plants?
Options:
Energy.
a giant earthquake
circulatory systems
organic molecules
a tree falling
a huge fire
a great flood
Solar energy |
A boy and a girl are not necessarily a couple. Not pumping gas near a gas pump does not necessarily mean one is scared to do so.
| Unknown | esnli | Consider the staetement "A boy and a girl sitting together in a car at a gas pump as it rains.". Based on this statement, is "The couple are sitting at the gas pump because they are too scared to pump the gas during the rain." a true statement? Yes/no/unknown |
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 | 5184 | aqua | Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
3446
2345
5467
4767
5184 |
Two people does not imply that the people equals two or more. The people on the concrete does not imply they were not standing.
| No | esnli | Context: Two woman stand near a door.
Hypothesis: the people were on concrete
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Two people are more than a woman, and while she is jogging in the forest, the two people ride motorcycles.
| Yes | esnli | Context: Two people in black leather ride motorcycles.
Hypothesis: A woman is jogging in the forest.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.