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The school bought 20 x 10 = 200 boxes of pencils.
The pencils cost 200 x $2 = $400.
The school bought 10 x 5 = 50 boxes of markers.
The markers cost 50 x $4 = $200.
Thus, the school spent a total of $400 + $200 = $600. | 600 | gsm8k | A school bought 20 cartons of pencils at the start of school. Pencils come in cartons of 10 boxes and each box costs $2. The school also bought 10 cartons of markers. A carton has 5 boxes and costs $4. How much did the school spend in all? |
He has 15 months to save $3,000.00 so that’s 3000/15 = $200.00 a month
He gets paid twice a month so he needs to save 200/2 = $100.00 from each paycheck | 100 | gsm8k | Jackson wants to start saving for the vacation that he’s taking next August, 15 months away. He wants to save $3,000.00. If he gets paid 2 times a month how much money does he need to set aside, per paycheck, to have enough money saved for his vacation? |
Most people would not be happy upon hearing that their friend is moving away and leaving them behind and especially when its a city of possibilities like New York | Yes | FLUTE | Consider the statement "I was really wishing I was moving to New York like my friend.". Is the statement "I was ecstatic when my friend told me that she is moving to New York leaving me behind" false? Yes/no/unknown |
Catching the flu and not being able to go on vacation is definitely not something to be happy or lucky about. | No | FLUTE | Context: I was suppose to go on vacation last month with my family but ended up catching the flu and couldn't go with them.
Hypothesis: I was really looking forward to going on vacation with my family last month and I'm such a lucky person to have caught the flu and couldn't go.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
The process of job hunting is often long and difficult so when a coworker is able to find a new job quickly it can be frustrating, especially if the person is stuck in a job they hate | True | FLUTE | Context: "My coworker was able to find a new job within like a week, meanwhile I am at the same horrible company." Claim: "It's really frustrating how my coworker was able to find a new job within a week while I am still stuck at this horrible company"
Considering the context, is the claim true, false, or unknown? |
1981's Excalibur film features King Arthur and his knights looking for the Holy Grail. Monty Python and the Holy Grail spoofs Arthurian legend. Indiana Jones and the Last Crusade features a search for the Holy Grail. Prince Killian and the Holy Grail focuses on retrieval of the grail. The Silver Chalice focuses on a man that has to sculpt the Holy Grail. | Yes | strategyqa | Has the Holy Grail been featured in at least five films? |
Age 5 years ago: 17 - 5 = 12
Sister's age 5 years ago: 35 - 12 = 23
Sister's age today: 23 + 5 = 28 years
Djibo's sister is 28 years old today. | 28 | gsm8k | Djibo is 17 years old. Five years ago Djibo added his age with his sister's age and the sum was 35. How many years old is Djibo's sister today? |
The famous D'artagnan was a musketeer based on a count that served Louis XIV. There are at least three famous Apollo's: Apollo Creed, Apollo (Greek mythology), and Apollo Crews. Apollo, the Greek god of the sun and healing, is immortal. | Yes | strategyqa | Could all of the famous Apollo's hypothetically defeat all of the famous D'Artagnan's? |
It's generally not fun or easy to take care of yourself when you're feeling unwell and often times people have a hard time mustering up the energy to do so | Yes | FLUTE | Given the statement "It's sucks when you have to take care of yourself when you don't feel well.", is the statement "It's hard when you're feeling terrible and on top of it you have to take care of yourself" is true?
- Yes
- No
- I don't know |
During the first 3 weeks the factory made 320 caps + 400 caps + 300 caps = 1020 caps total.
The average for the first 3 weeks is 1020 caps / 3 weeks = 340.
If the factor makes the average during the fourth week they will make 1020 caps + 340 = 1360 caps. | 1360 | gsm8k | A baseball cap factory made 320 caps the first week, 400 the second week, and 300 the third week. If the company makes their average number of caps from the first 3 weeks during the fourth week, how many total caps will they make? |
A discarded wax figurine would not be moving | No | FLUTE | Consider the statement "On the rock, at her feet, anita was moving.". Based on this "On the rock, at her feet, anita was like a discarded wax figurine." a true statement? Yes, no, or I don't know? |
The sum must be a multiple of $$3$$. There are many examples, e.g., $$2\And 1$$, $$4\And 2$$, $$10\And 5$$, etc. The quotient is always $$2$$. | $$2$$ | TAL-SCQ5K | The sum of $$2$$ positive whole numbers is $$3$$ times their difference. When the larger is divided by the smaller, the quotient is．
Options:
* $$2$$
* $$3$$
* $$4$$
* $$5$$ |
To be first call means to be the most important person or thing competing for somebody's time, which is what this sentence describes. | Yes | FLUTE | Given the statement "It has the highest priority and is the most important competing for my time now.", what is the statement "It has first call on my time now." true?
- Yes
- No
- Unknown |
\textbf{$$\hat{y}$$= 10 + .9*95=95.5. The predicted final exam score is 95.5.} | $$95.5$$ | TAL-SCQ5K | \textbf{In a statistics course, a linear regression equation was computed to predict the final exam score from the score on the first test. The equation was y = 10 + .9x where y is the final exam score and x is the score on the first test. Carla scored 95 on the first test. What is the predicted value of her score on the final exam?}
Options:
* $$95$$
* $$85.5$$
* $$90$$
* $$95.5$$
* None of the above |
Ryan has 25 + 20 = 45 stickers.
Ben has 45 - 10 = 35 stickers.
Therefore, there are a total of 25 + 45 + 35 = 105 stickers placed all together in a sticker book. | 105 | gsm8k | Karl, Ryan, and Ben are fond of collecting stickers. Karl has 25 stickers. Ryan has 20 more stickers than Karl. Ben has 10 fewer stickers than Ryan. They placed all their stickers in one sticker book. How many stickers did they place altogether? |
The elastic force increases the more the material is stretched or compressed. | A | quartz | John was looking at the materials being manipulated. He saw that the more it was compressed the force
Options:
A) Increased
B) Decreased |
To achieve her goal, she must read 140/7 = 20 pages per day
She planned to read 3 * 6 = 18 pages daily
She must read 20 - 18 = 2 more pages per day | 2 | gsm8k | While planning to finish reading a 140-page book in one week, Jessy initially decides to read 3 times daily, 6 pages each time, every day of the week. How many more pages should she read per day to actually achieve her goal? |
A rotten log is decaying, forming cavities inside, and not full | False | FLUTE | Context: "Even though I felt full inside, I smiled and laughed when Dub looked at me." Claim: "I smiled when dub looked at me and laughed, even though inside I felt like a rotten log"
Considering the context, is the claim true, false, or unknown? |
In one sentence it is saying that the Dimples are forming whereas another sentence states that the dimples are disappeared. | No | FLUTE | Consider the staetement "Dimples disappeared in his cheeks.". Based on this statement, is "Dimples burst forth in his cheeks." a true statement? Yes/no/unknown |
Permutate the ingredients. 3 cheeses * 4 meats * 5 vegetables = 60 choice
However, we must take out the combinations that could have pepperoni and peppers, 1 cheese +1 meat *+1 vegetable = 3 bad choices
60 - 3 = 57 choices | 57 | gsm8k | Denmark wants to order pizza. For toppings, he has 3 cheese, 4 meat and 5 vegetable options, one of which is peppers. He can have only one selection from each topping category (one cheese, one meat and one vegetable). However, if he chooses to have pepperoni, he cannot have peppers. How many topping combinations does he have total? |
The entire sq ft of the living room is LxW so the room is 16x20 = 320 sq ft
Tom has already put down 250 sq ft so he needs to put down 320-250 = 70 sq ft of flooring
The boxes contain 10 sq ft of flooring per box and he needs 70 more sq ft of flooring so he needs 70/10 = 7 more boxes | 7 | gsm8k | Tom was putting hardwood flooring into his living room that measured 16' long and 20' wide. The flooring comes 10 sq ft per box and he has already put down 250 sq ft of flooring. How many more boxes does Tom need to complete the job? |
$245_{8} = 5\cdot8^{0}+4\cdot8^{1}+2\cdot8^{2} = 5+32+128= 165$. | $165$ | competition-math | An octopus told me that his underwater cave is $245_{8}$ years old. How many years is this in base ten? |
Each whole number in the second sequence is $$5$$ more than the corresponding number in the first sequence. We have $$280 +5 \times5 = 305$$. | b | TAL-SCQ5K | The sum of five consecutive whole numbers is $$280$$. What is the sum of the next five consecutive whole numbers?
Options:
a: $$285$$
b: $$305$$
c: $$405$$
d: $$425$$ |
Randy spends 2*4=8 dollars every month.
Randy spends 8*12=96 dollars in a year.
Randy had 96+104=200 dollars in his piggy bank at first. | 200 | gsm8k | Randy has some money in his piggy bank. He spends 2 dollars every time he goes to the store. He makes 4 trips to the store every month. If he had $104 dollars left in his piggy bank after a year, how much money, in dollars, did he have at first? |
The cancellation of the board meeting means that the person who was looking forward to it will not be able to participate in it and so their time was wasted which is not a good thing. | False | FLUTE | Context: "My board meeting which I had prepared for was cancelled at the last minute" Claim: "The last minute cancellation of the board meeting which I was so ready for made me extremely glad about the good use of my time."
Considering the context, is the claim true, false, or unknown? |
Being on vacation often means that people are away from their homes for an extended period of time and when they come back to find that their home has been broken into, it is a very jarring and unpleasant experience | Yes | FLUTE | Context: I came home from vacation to find that my home had been broken into.
Hypothesis: I was on vacation for two weeks and when I returned home, I found that my house had been broken into
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
记$$a-b=t$$，则$$t\textgreater0$$， $$\frac{{{a}^{2}}+{{b}^{2}}}{a-b}=\frac{{{t}^{2}}+2}{t}=t+\frac{2}{t}\geqslant 2\sqrt{2}$$， 当且仅当$$a=\frac{\sqrt{6}+\sqrt{2}}{2}$$，$$b=\frac{\sqrt{6}-\sqrt{2}}{2}$$时取等号．故选$$\text{A}$$． | $$2\sqrt{2}$$ | TAL-SCQ5K | 已知$$a\textgreater b$$，$$ab=1$$，则$$\frac{{{a}^{2}}+{{b}^{2}}}{a-b}$$的最小值是．
* $$2\sqrt{2}$$
* $$\sqrt{2}$$
* $$2$$
* $$1$$ |
Since the train takes 2 hours longer to go an equal distance as the car, to reach station B, the train took 4.5+2 = 6.5 hours.
Together, the train and the car take a total of 6.5+4.5 = 11 hours to travel from station A to station B. | 11 | gsm8k | A train takes 2 hours longer to go an equal distance of a car. If the car and the train leave station A at the same time, and the car reaches station B 4.5 hours later, calculate the combined time the car and the train take to reach station B. |
Going into work on a day off is not something that most people would be overjoyed about because it takes away from their free time and relaxation. | Yes | FLUTE | Context: I promised my boss I would go into work on my day off to assist with a project.
Hypothesis: I feel overjoyed that I get to honor my promise to my boss and go into work on my day off
Is the hypothesis incorrect? (Yes, no, or unknown)? |
To be up to speed means to be fully apprised about someone or something, but in this context emails and meetings are being used to keep everyone deliberately misinformed. | No | FLUTE | Context: Emails, meetings, getting everyone deliberately misinformed about.
Hypothesis: Emails, meetings, getting everyone up to speed.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Each number on Lee\textquotesingle s list must have the same remainder when divided by $$7$$. Divide each choice by $$7$$. The respective remainders are $$2$$, $$2$$, $$2$$, and $$4$$. Thus, $$107$$, $$184$$, and $$534$$ work. | [4] | TAL-SCQ5K | Lee counted by $$7$$\textquotesingle s beginning with one of the whole numbers from $$1$$ through $$7$$, until Lee passed $$1000$$. If Lee counted three of the following numbers, which number did Lee not count?
Options:
[1] $$107$$
[2] $$184$$
[3] $$534$$
[4] $$641$$ |
Each bag of oranges weighs 24 pounds / 12 = 2 pounds.
8 bags of oranges would weigh 8 * 2 pounds = 16 pounds. | 16 | gsm8k | If 12 bags of oranges weigh 24 pounds, how much do 8 bags weigh? |
As we know, the sum of the length and width is $$25$$. The largest area is $$13\times12=156$$ and the smallest area is $$24\times1=24$$, so the difference is $$156-24=132$$. | (D) | TAL-SCQ5K | Ms. Osborne asks each student in her class to draw a rectangle with integral side lengths and a perimeter of $$50$$ units. All of her students calculate the area of the rectangle they draw. What is the difference between the largest and smallest possible areas of the rectangles?
(A) $$76$$
(B) $$120$$
(C) $$128$$
(D) $$132$$
(E) $$136$$ |
Better farming techniques and machines increased the food supply and the distribution of food. | (2) | quartz | When people figured out how to lessen food the levels of food in the world
(1) increased
(2) decreased |
Pouring a lot of effort into a project and then not having it appreciated or taken into consideration by the job is very discouraging and shows that the job doesn't care about the employee's efforts. | No | FLUTE | Consider the staetement "I worked on this project for so long but it turns out my job doesn't even want it done anymore.". Based on this statement, is "Not affetcted at all with how I put so much effort into this project but my job doesn't care if it gets done or not" a true statement? Yes/no/unknown |
Most people would feel loved when someone offers to babysit for them and their sister not reciprocating implies that she does not love or care for her sibling. | No | FLUTE | Context: I am mad that my sister always asks me to babysit but never does it for me
Hypothesis: I feel loved and enjoy the fact that my sister never reciprocates by babysitting for me.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Here the term take flight is used to mean the beginning of the summer. | No | FLUTE | Context: For summer and his pleasures begin on thee.
Hypothesis: For summer and his pleasures take flight on thee.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
There are $5!$ ways to arrange the books if they are unique, but two are identical so we must divide by $2!$ for an answer of $\dfrac{5!}{2!} = 60$. | $60$ | competition-math | I have 5 books, two of which are identical copies of the same math book (and all of the rest of the books are different). In how many ways can I arrange them on a shelf? |
Des Moines is a city in the landlocked state Iowa. Surfing involves riding the waves at a beach or ocean. There are no beaches in Iowa. | No | strategyqa | Is surfing popular in Des Moines, Iowa? |
前三个数之和$$=15\times 3$$，后两个数之和$$=10\times 2$$． 所以五个有理数的平均数为$$\frac{15\times 3+10\times 2}{5}=13$$．选$$\text{D}$$． | D | TAL-SCQ5K | 张梅写出了五个有理数，前三个有理数的平均值为$$15$$，后两个有理数的平均值是$$10$$，那么张梅写出的五个有理数的平均值是（~ ~ ~）．
A. $$5$$
B. $$8\frac{1}{3}$$
C. $$12\frac{1}{2}$$
D. $$13$$ |
To say it's not all fun and games means that there is more to something than just playing around, but in this sentence raising a child is described as hard work. | False | FLUTE | Context: "It is all hard work raising a child, you know." Claim: "Its not all fun and games raising a child, you know."
Considering the context, is the claim true, false, or unknown? |
She had 4*12=48 shirts to start with
She gives away 48/3=16
So she has 48-16=32 left | 32 | gsm8k | Kim has 4 dozen shirts. She lets her sister have 1/3 of them. How many shirts does she have left? |
Since Jill's basket can hold twice as much as Jack's, and Jack's is capable of holding 12 apples in total, this means Jill's basket can hold 12*2=24 apples in total.
Since Jack has 4 less than the maximum amount of apples he can fit in his basket, this means Jack has 12-4= 8 apples in his basket.
Therefore, Jill's basket can hold 24/8= 3 times the amount of apples Jack is currently carrying. | 3 | gsm8k | Jill and her brother Jack are going apple picking. Jill's basket can hold twice as much as Jack's basket when both are full. Jack's basket is full when it has 12 apples, but currently space for 4 more. How many times could Jack's current number of apples fit into Jill's basket? |
He increases the time he can run by 8*.75=6 hours
So he can now run 8+6=14 hours
His speed is now 8+4=12 mph
So he can run 14*12=168 miles | 168 | gsm8k | John trains for ultramarathons. He starts only able to run 8 hours straight but eventually increases that by 75%. He also increases his speed of 8 mph by 4 mph. How far can he run now? |
$$60$$分解质因数为$$60=2\times 2\times 3\times 5$$，再改为标准式是$${{2}^{2}}\times 3\times 5$$，再利用因数个数公式，因数个数$$=$$不同质因数指数加$$1$$然后再相乘。 $$60$$的不同因数（$$1$$除外）的个数是$$(2+1)\times (1+1)\times (1+1)-1=11$$个。 答：答案是A。 | 1 | TAL-SCQ5K | $$60$$的不同因数（$$1$$除外）的个数是( )。
1) $$11$$
2) $$120$$
3) $$13$$
4) $$10$$ |
根据选项$$\text{C}$$，现在是$$9:55$$，那么$$5$$分钟前分针的位置是指向$$10$$，$$5$$分钟后时针也是指向$$10$$．所以$$\text{C}$$选项答案是满足题目要求的，所以选择$$\text{C}$$． | [c] | TAL-SCQ5K | 在$$9$$点至$$10$$点之间的某个时刻，$$5$$分钟前分针的位置和$$5$$分钟后时针的位置相同，此时刻是．
[a] $$9:05$$
[b] $$9:35$$
[c] $$9:55$$ |
By the vector triple product, for any vectors $\mathbf{u},$ $\mathbf{v},$ and $\mathbf{w},$
\[\mathbf{u} \times (\mathbf{v} \times \mathbf{w}) = (\mathbf{u} \cdot \mathbf{w}) \mathbf{v} - (\mathbf{u} \cdot \mathbf{v}) \mathbf{w}.\]Thus,
\[(\mathbf{a} \cdot \mathbf{c}) \mathbf{a} - (\mathbf{a} \cdot \mathbf{a}) \mathbf{c} + \mathbf{b} = 0.\]Since $\|\mathbf{a}\| = 1,$
\[(\mathbf{a} \cdot \mathbf{c}) \mathbf{a} - \mathbf{c} + \mathbf{b} = 0,\]so $(\mathbf{a} \cdot \mathbf{c}) \mathbf{a} - \mathbf{c} = -\mathbf{b}.$ Then
\[\|(\mathbf{a} \cdot \mathbf{c}) \mathbf{a} - \mathbf{c}\| = \|-\mathbf{b}\| = 1.\]We can then say $\|(\mathbf{a} \cdot \mathbf{c}) \mathbf{a} - \mathbf{c}\|^2 = 1,$ which expands as
\[(\mathbf{a} \cdot \mathbf{c})^2 \|\mathbf{a}\|^2 - 2 (\mathbf{a} \cdot \mathbf{c})^2 + \|\mathbf{c}\|^2 = 1.\]We can simplify this to
\[-(\mathbf{a} \cdot \mathbf{c})^2 + 4 = 1,\]so $(\mathbf{a} \cdot \mathbf{c})^2 = 3.$ Hence, $\mathbf{a} \cdot \mathbf{c} = \pm \sqrt{3}.$
If $\theta$ is the angle between $\mathbf{a}$ and $\mathbf{c},$ then
\[\cos \theta = \frac{\mathbf{a} \cdot \mathbf{c}}{\|\mathbf{a}\| \|\mathbf{c}\|} = \pm \frac{\sqrt{3}}{2}.\]The smallest possible angle $\theta$ satisfying this equation is $30^\circ.$ We can achieve $30^\circ$ by taking $\mathbf{a} = \begin{pmatrix} 1 \\ 0 \\ 0 \end{pmatrix},$ $\mathbf{b} = \begin{pmatrix} 0 \\ 1 \\ 0 \end{pmatrix},$ and $\mathbf{c} = \begin{pmatrix} \sqrt{3} \\ 1 \\ 0 \end{pmatrix},$ so this is the smallest possible angle. | $30^\circ$ | competition-math | Let $\mathbf{a},$ $\mathbf{b},$ $\mathbf{c}$ be vectors such that $\|\mathbf{a}\| = \|\mathbf{b}\| = 1,$ $\|\mathbf{c}\| = 2,$ and
\[\mathbf{a} \times (\mathbf{a} \times \mathbf{c}) + \mathbf{b} = \mathbf{0}.\]Find the smallest possible angle between $\mathbf{a}$ and $\mathbf{c},$ in degrees. |
Thicker resistors offer less resistance than thinner resistors. | less | quartz | A thin wire will carry _____ current than a large piece of wire.
Options:
- more
- less |
相当于把石灰水分成了$$101$$份，石灰占$$1$$份．所以石灰有$$4545\times \frac{1}{{1{ + }100}}{ = }45$$（千克）． | (b) | TAL-SCQ5K | 石灰水是用石灰和水按照$$1∶100$$配制而成，要配制$$4545$$千克的石灰水，需要石灰多少千克？
Options:
(a) $$35$$千克
(b) $$45$$千克
(c) $$55$$千克 |
The more tightly packed the particles inside the material are, the more dense we say they are. | decreases | quartz | If Jim packs a fewer amount of packing peanuts into a jar, what happens to the density of the peanuts?
* increases
* decreases |
There is a region in California called the Silicon Valley. Silicon Valley is home to a large number of technology corporations. Silicon Valley was originally named after the large number of corporations there that manufactured silicon-based circuit chips. | Yes | strategyqa | Is silicon important in California? |
Janet Jackson follows an Islamic practice. Islamic culture avoids eating pork. Ham is made from pork. | Yes | strategyqa | Would Janet Jackson avoid a dish with ham? |
The temperature of matter increases with the added energy. | 2 | quartz | John was checking the temperature of the unit. He saw that as the temperature decreased when the level of energy was
1) Greater
2) Lesser |
A box of chocolates is full of sugar and unhealthy fats which goes against what most doctor's would advise and so eating it often makes people feel terrible because they know they are not supposed to be eating it | No | FLUTE | Context: I had a box chocolate when my doctor advised against it.
Hypothesis: I broke my diet by eating a box of chocolates but I feel terrible about it
Is the hypothesis incorrect? (Yes, no, or unknown)? |
It is inconsiderate to leave litter around for others to clean up and often seen as disrespectful so it's terrible when somebody does it carelessly | No | FLUTE | Context: How irresponsible of my neighbor to litter the driveway with some chocolate bars he ate.
Hypothesis: It's terrible how my irresponsible neighbor left his chocolate wrappers all over the driveway
Is the hypothesis incorrect? (Yes, no, or unknown)? |
The first few terms of the sequence are
\[2005, 133, 55, 250, 133.\]Since each term depends only on the previous term, and the fifth term coincides with the second term, the sequence becomes periodic, with period 3.
Therefore, the 2005th term is equal to the 4th term, which is $250.$ | $250$ | competition-math | The first term of a sequence is $2005$. Each succeeding term is the sum of the cubes of the digits of the previous term. What is the ${2005}^{\text{th}}$ term of the sequence? |
Let the number of chickens be c.
If there are 150 ducks, we can describe the number of chickens as 150 =10+4c.
So, 4c = 150.
And, there are c = 35 chickens.
In total, Jen has 35 chickens+150 ducks =185 birds. | 185 | gsm8k | Jen has 10 more ducks than four times the number of chickens. If Jen has 150 ducks, how many total birds does she have? |
Being anxious about a job interview usually means that the person is not confident about their answers to the questions that will be asked and is worried about not impressing the interviewer | Yes | FLUTE | Consider the statement "A recent job interview that I had made me feel very anxious because I felt like I didn't come prepared.". Based on this "I was so anxious about the job interview because I felt like I didn't have any answers to their questions." a true statement? Yes, no, or I don't know? |
Moss is a type of non-vascular and flowerless plant. Moss typically grows in dark green clumps in damp and shady locations. A beard is facial hair that grows on the chin and cheeks of a human. Facial hair is not a plant. | No | strategyqa | Is a beard is moss that grows on a human? |
A vale of tears is a place where life is full of sorrow and tragedy, but the context describes a happy place with no strife or tragedy. | Yes | FLUTE | Given the statement "In this happy place where life is wonderful and there is no strife or tragedy - blah blah blah.", is the statement "In this vale of tears - blah blah blah." wrong?
- Yes
- No
- Unknown |
Someone who hit another person's car is often considered to be not awesome and so the person who did the hitting should not be rewarded but rather criticized. | False | FLUTE | Context: "My brand new Toyota Camry got hit from behind." Claim: "So blessed my new Toyota Camry got hit by this awesome guy. It really gave my car some personality."
Considering the context, is the claim true, false, or unknown? |
The almond croissant and the salami and cheese croissant are $4.50 each so that's 2*4.50 = $9.00
He buys 2 lattes that are $2.50 each so that's 2*2.50 = $5.00
The flavored croissants are $9.00, the lattes are $5.00 and he also grabbed a plain croissant for $3.00 and focaccia for $4.00 for a total of 9+5+3+4 = $21.00 | 21 | gsm8k | Every Sunday, Sean picks up 1 almond croissant and 1 salami and cheese croissant that are $4.50 each. He also grabs a plain croissant for $3.00 and a loaf of focaccia for $4.00. On his way home he stops and picks up 2 lattes for $2.50 each. How much did he spend? |
When people have been looking forward to a vacation and have made all the necessary arrangements but then have to cancel due to an emergency at work, they often feel upset and terrible | No | FLUTE | Context: I was planning a vacation soon but due to an emergency at work all vacation time was cancelled.
Hypothesis: The fact that my emergency at work cancelled all my vacation time makes me feel terrible
Is the hypothesis incorrect? (Yes, no, or unknown)? |
$${{(-1)}^{1998}}=+1$$．排除$$\text{A}$$．由于最小的非负数是$$0$$，排除$$\text{B}$$． 绝对值最小的整数也是$$0$$，排除$$\text{D}$$．显然应选$$\text{C}$$．事实上$$+1$$是最小的正整数． 故选$$\text{C}$$． | C | TAL-SCQ5K | 数$${{(-1)}^{1998}}$$是．
A: 最大的负数
B: 最小的非负数
C: 最小的正整数
D: 绝对值最小的整数 |
Each commercial lasted 10 minutes, so three commercials lasted 3 * 10 = 30 minutes.
The show was aired for 1.5 hours, and 30 minutes is 0.5 of an hour, so without the commercials, the show was 1.5 - 0.5 = 1 hour long. | 1 | gsm8k | Michael was watching a TV show, which was aired for 1.5 hours. During this time, there were 3 commercials, which lasted 10 minutes each. How long (in hours) was the TV show itself, not counting commercials? |
Each of Samara's friends saw an average of 10 alligators each, a total of 3*10 = 30 alligators.
Together, Samara and her friends saw 30+20 = 50 alligators. | 50 | gsm8k | Samara and three of her friends heard alligators spotted on the local river and decided to join a search organized by the wildlife service to capture the animals. After searching the whole day, Samara had seen 20 alligators while her friends had seen an average of 10 alligators each. Calculate the total number of alligators Samara and her friends saw. |
As you increase the number of carbon atoms in a hydrocarbon, the number of isomers quickly increases. | decrease | quartz | Dean wants to get a smaller number of isomers to observe, so in order to do so quickly, he takes the number of carbon atoms in a hydrocarbon, and makes them
- decrease
- increase |
There are $$80 \times8 = 640$$ pencils in $$80$$ boxes. | $$640$$ | TAL-SCQ5K | If there are $$8$$ pencils in each box, how many pencils are in $$80$$ boxes?
* $$10$$
* $$88$$
* $$640$$
* $$808$$ |
A softened heart is one that is compassionate and caring, while a hardened heart is one that is callous and indifferent. | No | FLUTE | Context: Most of the men are cold and have hardened hearts.
Hypothesis: All the hearts of men were softened.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
His total without the coupons was $20 - $5.50 = $14.50
He had 5 coupons that each saved him 25 cents, so the full price of all the tuna is $14.50 + 5*$0.25 =$15.75.
He bought 9 cans of tuna, so each can costs $15.75 / 9 = $1.75
As 1 dollar has 100 cents 1.75 * 100 = 175 cents | 175 | gsm8k | Sam is stocking up on canned tuna. He got 9 cans at the supermarket, and had 5 coupons for 25 cents off a single can per coupon. He paid $20 and got $5.50 in change. How many cents does a can of tuna cost? |
Thicker wires offer less resistance. | B | quartz | Which likely offers the greatest amount of resistance?
Options:
A) a boat towing cable
B) a telephone cable |
As the nail grows, more cells are added at the nail bed. | (a) | quartz | Dana had long nails that she clipped. When her nails were the short length, Dana noted that the number of cells within them must have
(a) decreased
(b) increased |
A child at Christmas is excited and enthusiastic, whereas a slow nod would not be indicative of that | No | FLUTE | Given the statement "Jack nodded slowly", what is the statement "Jack nodded like a child at christmas." true?
- Yes
- No
- Unknown |
一台功效$$\frac{1}{45}$$，五台需要$$9$$小时． | 3 | TAL-SCQ5K | 三部同样的抽水机同时抽水，抽干一池水需用$$15$$小时，五部这样的抽水机抽干这一池子水需用小时．
1. $$3$$
2. $$6$$
3. $$9$$
4. $$12$$
5. $$15$$ |
A grasping hand implies that the silence is rising up from the dead, whereas falling down would be the opposite | False | FLUTE | Context: "The silence falls down as we go past my old home, my heart clenching."
Hypothesis: My heart starts to clench as we go past, the silence is like a grasping hand .
Based on the context, is the hypothesis true, false, or unknown? |
The difference in age between the two sisters is 24 - 20 = 4 years.
When Rachel is twice Emily’s age, she is 4 x 2 = 8 years old. | 8 | gsm8k | Emily is 20 years old and her older sister, Rachel, is 24 years old. How old is Rachel when Emily is half her age? |
Gandalf is a 2000 plus year old wizard that has fought orcs and spirits in Middle Earth. Rincewind is the protagonist of the Discworld series. Rincewind is a failed student at the Unseen University for wizards in Ankh-Morpork. Rincewind is described by other wizards as the magical equivalent to the number zero. | Yes | strategyqa | Gandalf hypothetically defeats Rincewind in a wizard battle? |
The simile is used to describe the overwhelming nature of the bright snarled ball that sparked in millions of colors, and how the speaker was so focused on holding her hand that he barely even noticed them. | Yes | FLUTE | Given the statement "I barely even noticed the rich and complex network of lights inside of her because I was so focused on holding her hand.", is the statement "I barely even noticed, though, because now that I was holding her hand, I saw a network of lights flaring inside of her like a bright snarled ball that sparked in millions of colors." is true?
- Yes
- No
- I don't know |
$6$ hours ahead of $08:27$ pm is $02:27$ am. | [D] | TAL-SCQ5K | The time in Thornsburg is $$6$$ hours ahead of London. The time in London is $$8.27$$ pm. What is the time in Thornsburg? Choose the answer.
[A] $$02.27$$ pm
[B] $$14.27$$ pm
[C] $$02.27$$ pm
[D] $$02.27$$ am
[E] $$14.27$$ am |
First find the total number of pine cones: 8 trees * 200 pine cones/tree = 1600 pine cones
Then multiply that number by 30% to find how many fall on Alan's roof: 1600 pine cones * 30% = 480 pine cones
Then multiply that number by the weight of each pine cone to find the total weight of the pine cones: 480 pine cones * 4 ounces/pine cone = 1920 ounces | 1920 | gsm8k | Alan has 8 pine trees in his backyard and each tree drops 200 pine cones. If 30% of the pine cones fall on Alan's roof, and each pine cone weighs 4 ounces, how many ounces of pine cones does Alan have on his roof? |
To put your best foot forward typically means to try to act as an ideal version of oneself, but in this context it is used to make a terrible first impression | No | FLUTE | Given the statement "So when you do finally have the chance to meet him, it's allowing you to make a terrible first impression to secure his interest..", what is the statement "So when you do finally have the chance to meet him, it's allowing you to put your best foot forward to secure his interest.”" true?
- Yes
- No
- Unknown |
Faith must pay $28 + $5 = $33 for the flour and cake stand.
Her two $20 bills amount to $20 x 2 = $40.
So, she gave the cashier a total of $40 + $3 = $43.
Hence, her change is $43 - $33 = $10. | 10 | gsm8k | Faith went to a baking shop and bought flour that cost $5 and a cake stand that costs $28. She then gave the cashier two $20 bills and $3 in loose coins. How much change will she receive? |
共猜对$$5$$次，由题意知：$$1$$号箱被猜$$2$$次橙，$$2$$号箱被猜$$2$$次黑，则$$1$$号箱为橙或$$2$$号箱为黑． 假设$$1$$号为橙色，则拉斐尔和多纳泰罗一个猜中$$1$$次，一人猜中两次． 假设拉斐尔猜中$$1$$次，则$$2$$号不为黑，$$3$$号不为绿，则李奥纳多猜中$$3$$号为黄，米开朗琪罗全猜错． 假设有问题，则拉斐尔猜中$$2$$次，$$1$$号为橙，$$2$$号不为黑，$$3$$号为绿，则李奥纳多全猜错，则$$1$$号为橙，$$2$$号为黑，$$3$$号不为绿，拉斐尔猜中$$2$$次，李奥纳多猜中$$2$$号为黑，多纳泰罗猜中$$1$$号为橙，米开朗琪罗猜中$$3$$号为紫． | 紫 | TAL-SCQ5K | 斯普林特老师在$$3$$个小箱中各放一个有颜色的球，让四只忍者神龟猜箱子中球的颜色． 李奥纳多说：``$$1$$号箱中放红球，$$2$$号箱中放黑球，$$3$$号箱中放黄球．'' 拉斐尔说：``$$1$$号箱中放橙球，$$2$$号箱中放黑球，$$3$$号箱中放绿球．'' 米开朗琪罗说：``$$1$$号箱中放蓝球，$$2$$号箱中放橙球，$$3$$号箱中放紫球．'' 多纳泰罗说：``$$1$$号箱中放橙球，$$2$$号箱中放绿球，$$3$$号箱中放蓝球．'' 斯普林特老师说：``你们中有一个人恰好猜对了两个，其余三人都只猜对一个．'' 那么$$3$$号箱中放的是球．
* 黄
* 黑
* 红
* 橙
* 蓝
* 紫
* 绿 |
If Olive charges her phone for 3/5 of the time she charged the phone last night, the phone would be charged for 3/5*10=6 hours.
Assuming each hour of charge lasts the phone 2 hours of use, the phone will last for 6*2=12 hours before it goes off when Olive uses it on a six hours charge. | 12 | gsm8k | Last night, Olive charged her phone for 10 hours. Assuming each hour of charge lasts the phone 2 hours of use, calculate the total time Olive would be able to use her phone before it goes off if she charges it for 3/5 of the time she charged the phone last night. |
Conductors direct a group of musicians by ensuring they all keep the same beat and place in the music. A solo pianist performing alone can keep their own pace. | No | strategyqa | Do solo pianists require a conductor? |
The Ferris wheel will be open for 7:00 - 1:00 = 6 hours.
In one hour the wheel can ride 60 minutes / 20 minutes = 3 times the number of riders.
The total per hour riders is 3 * 70 people = 210 people.
If the ride is open 6 hours * 210 people = 1260 people can ride. | 1260 | gsm8k | A Ferris wheel can accommodate 70 people in 20 minutes. If the Ferris wheel is open from 1:00 pm until 7:00 pm, how many people will get to ride? |
The Triple Crown is an accomplishment in which a jockey wins three specific races. The three Triple Crown races are: Preakness, Kentucky Derby, and Belmont Stakes. The three Triple Crown races take place weeks apart. Eid al-Fitr is a Muslim holiday that lasts for three consecutive days. | No | strategyqa | Could jockey win Triple Crown between Eid al-Fitr endpoints? |
The corner light cost $10 x 2 = $20.
Each brake disk costs $20 x 3 = $60.
So, the total price of the brake disks is $60x 2 = $120.
He spent $10 + $20 + $120 = $150 for the repair.
Therefore, Robe has saved $480 + 150 = $630 before his car broke. | 630 | gsm8k | Robe's car broke and he used $10 from his savings to pay for the repair. Before the repair, he bought 2 kinds of spare parts. A corner light that costs twice the price of the repair fee, and two brake disks; each disk cost thrice the price of the corner light. After that, he had $480 savings left. How much money did Robe have saved before his car broke? |
A statue is a work of art that is often beautiful and lifelike, so saying she is like a statue contradicts her being plain and unassuming | False | FLUTE | Context: "She was plain, weak and unassuming."
Hypothesis: She was like a timeless statue .
Based on the context, is the hypothesis true, false, or unknown? |
Seeing a rat in a restaurant often means that the food is not fresh and has been stored for too long, so the sight of it makes someone not look forward to their meal at all. | False | FLUTE | Context: "I went to a restaurant and I saw a rat running through the back, it was horrid and gross." Claim: "I saw a rat running through the back of the restaurant and it made me look forward to a great meal."
Considering the context, is the claim true, false, or unknown? |
The first term is 1, and the common difference is 3. Therefore, to get to the $15^\text{th}$ term, we must add 3 to the first term 14 times, to get $1+ 3(14) = 43$. | $43$ | competition-math | Consider the arithmetic sequence $1$, $4$, $7$, $10$, $13$, $\ldots$. Find the $15^{\text{th}}$ term in the sequence. |
当$$\begin{cases}\textbar[x+y]\textbar=1 \textbar[x-y]\textbar=0 \end{cases}$$时，$$\begin{cases}1\leqslant x+y ~\textless{} ~2 0\leqslant x-y ~\textless{} ~1 \end{cases}$$或$$\begin{cases}-1\leqslant x+y ~\textless{} ~0 0\leqslant x-y ~\textless{} ~1 \end{cases}$$ 同理$$\begin{cases}\textbar[x+y]\textbar=0 \textbar[x-y]\textbar=1 \end{cases}$$或$$\begin{cases}\textbar[x+y]\textbar=0 \textbar[x-y]\textbar=0 \end{cases}$$都可以类似表示，画图即可求出面积. 故选$$\text{A}$$． | 1 | TAL-SCQ5K | 记$$[x]$$为不超过$$x$$的最大整数，若集合$$S=\left { (x，y)\left\textbar{} \textbar[x+y]\textbar+\textbar[x-y]\textbar\leqslant 1 \right. \right }$$，则集合$$S$$所表示的平面区域的面积为（~ ~ ）．
Options:
1: $$\frac{5}{2}$$
2: $$3$$
3: $$\frac{9}{2}$$
4: $$4$$ |
$$1+2+3+4+5+6+7+8+9+10+9+8+7+6+5+4$$ $$=1+2+3+4+5+6+7+8+9+10+9+8+7+6+5+4+3+2+1-3-2-1$$ $$=10\times 10-6$$ $$=100-6$$ $$=94$$． | D | TAL-SCQ5K | Calculate: $$1+2+3+4+5+6+7+8+9+10+9+8+7+6+5+4=$$．
A: $$100$$
B: $$98$$
C: $$96$$
D: $$94$$ |
Let $j$ be John's age and $d$ be his dad's age. We are trying to find the value of $j$. We can create a system of two equations to represent the given information. They are
\begin{align*}
j &= d - 24 \\
j + d &= 68 \\
\end{align*}We want to find $j$, so we need to eliminate $d$ from the equations above. Rewriting the first equation we get $d = j+24$. Substituting this into the second equation to eliminate $d$, we have $j+(j+24)=68$, or $j=22$. Thus, John is $22$ years old. | $22$ | competition-math | John is 24 years younger than his dad. The sum of their ages is 68 years. How many years old is John? |
D | 1 | TAL-SCQ5K | In a sequence of positive integers, each term after the second is the product of the previous two terms. The sixth term in the sequence is $4000$. What is the first term?
1. $$1$$
2. $$2$$
3. $$4$$
4. $$5$$
5. $$10$$ |
In tens place: there are ten $$5$$s: $$50\sim59$$ In ones place: there are six $$5$$s: $$5, 15, 25, 35, 45, 55$ | (1) | TAL-SCQ5K | Bill writes down all the numbers from $1$ to $60$ inclusive. How many times does he use the digit $5$?
Options:
(1) $16$
(2) $$17$$
(3) $$18$$
(4) $$19$$
(5) $$20$$ |
An a sloppily designed ink blot test would color her skin inconsistently with a mixture or colors like blue, purple and black | No | FLUTE | Context: They colored her white skin in a pattern of dark blue, purple, and black .
Hypothesis: They colored her pure white skin like a sloppily designed ink blot test .
Is the hypothesis incorrect? (Yes, no, or unknown)? |
To win the day means to be successful, but in this context Min is glad that her inflexible will did not fail | Yes | FLUTE | Consider the statement "Min was glad that she had not let her inflexible will fail or be defeated.". Is the statement "Min was glad that she had not let her inflexible will win the day." false? Yes/no/unknown |
Floating the idea of a tax reform means that the republicans are proposing the idea of a tax reform. | No | FLUTE | Given the statement "The republicans are proposing the idea of a tax reform.", is the statement "The republicans are floating the idea of a tax reform." wrong?
- Yes
- No
- Unknown |
Each month she makes 20+40=$60
Every month she saves 60/2=$30
To save $150 it will take her 150/30=5 months | 5 | gsm8k | Mary earns $20 washing cars and $40 walking dogs each month. If she puts half of that money away each month how long would it take her to save $150? |
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