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Total pieces of gum are 54 pieces + 45 pieces + 0 pieces = 99 pieces
When the pieces are shared equally amongst 3 people, each one gets 99 pieces / 3 people = 33 pieces/person | 33 | gsm8k | John has 54 pieces of gum, Cole has 45 pieces of gum and Aubrey has no pieces of gum. They decide to share the gum equally between the 3 of them. How many pieces of gum will each one get? |
Among $$3,4,5,6,8$$, only $$5$$ is a factor of $$70$$. | $$5$$ | TAL-SCQ5K | Julie shares a bag of 70 carrots among some rabbits. Each rabbit has exactly the same number of carrots. If Julie doesn\textquotesingle t have any carrots left, how many rabbits might she have fed? ．
Options:
- $$3$$
- $$4$$
- $$5$$
- $$6$$
- $$8$$ |
The school needs to buy 30 - 12 = 18 robes.
So the school will spend 18 x $2 = $36. | 36 | gsm8k | A school choir needs robes for each of its 30 singers. Currently, the school has only 12 robes so they decided to buy the rest. If each robe costs $2, how much will the school spend? |
Cane toads have a life expectancy of 10 to 15 years in the wild. The average life expectancy of a male born in Hawaii is 79.3 years as of 2018. | Yes | strategyqa | Would the average Hawaiian male experience more days on Earth compared to a wild cane toad? |
The more the baby suckles, the more prolactin is released, which causes more milk to be produced. | A | quartz | As Carla's baby drank breast milk more vigorously, the milk that was made was
A) more
B) less |
Someone gaining weight over a period of 4 years is not something to be pleased about but instead, ashamed of. | No | FLUTE | Given the statement "I'm feeling pretty bummed after seeing a photo of myself 4 years ago I gained so much weight!", what is the statement "After seeing a photo of myself from 4 years ago I feel so pleased for having gained so much weight." true?
- Yes
- No
- Unknown |
In the year 1900 there were 42 US states. Ancient Greece had several hundred relatively independent city-states called poleis. | No | strategyqa | Were number of states in Ancient Greece underwhelming compared to US states in 1900? |
Tom will be 30 in 5 years so now he is 30-5 = 25
2 years ago Tom was 25-2 = 23
At that time, Jared was twice as old as Tom so Jared was 23*2 = 46
Two years have since passed so Jared is now 46+2 = 48 | 48 | gsm8k | Two years ago, Jared was twice as old as Tom. If Tom will be 30 in five years, how old is Jared now? |
Kami Rita has climbed Mount Everest 24 times. Mount Everest has an elevation of 8,848 m (29,029 ft). Mount Emei has an elevation of 3,099 metres (10,167 ft). | No | strategyqa | Would it be difficult for Kami Rita to climb Mount Emei? |
Your dominant hand typically performs the moving part of a sign in ASL. Your dominant hand determines the hand you use to finger spell in ASL. | Yes | strategyqa | Does handedness determine how you use American Sign Language? |
One hour ago the time was $$12:15$$ P.M.; two hours ago the time was $$11:15$$ A.M.; three hours ago the time was $$10:15$$ A.M. Three and one-half hours ago the time was $$9:45$$ A.M. | [2] | TAL-SCQ5K | If the correct time now is $$1:15$$ P.M., and if my clock stopped running three and one-half hours ago, when did it stop running?
[1] $$8:45$$ A.M.
[2] $$9:45$$ A.M.
[3] $$10:45$$ A.M.
[4] $$4:45$$ P.M. |
Subtracting the first given equation from the second equation, we have $2x+y-(x+y)=13-10 \Rightarrow x=3$. Plugging the value of $x$ into the first given equation to solve for $y$, we have $y=10-x=7$. Thus, $x^2-y^2=3^2-7^2=-40$. | $-40$ | competition-math | Given that $x+y = 10$ and $2x+y = 13$, evaluate $x^2-y^2$. |
To claw someone means to harm them in a physical or metaphorical way. | No | FLUTE | Consider the statement "The politician harmed his rival politically.". Is the statement "The politician clawed his rival." false? Yes/no/unknown |
To twist the knife means to make a bad situation worse, and in this context amber is trying to make the situation worse by further malicious actions. | No | FLUTE | Given the statement "I am not sure if amber is deliberately trying to worsen the situation, but if she is, it's certainly effective. ", is the statement "I don't know if amber is trying to twist the knife, but if she is, it's certainly working." wrong?
- Yes
- No
- Unknown |
Being diagnosed with stage 4 cancer is often a death sentence and so most people are incredibly upset upon receiving such news | Yes | FLUTE | Context: I was heartbroken when I was diagnosed with stage 4 cancer.
Hypothesis: I was totally devastated when I found out that I had stage 4 cancer
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Dark corners means negative elements or aspects of something. | No | FLUTE | Given the statement "There were negative elements in his past things he didn't like to remember.", is the statement "There were dark corners in his past things he didn't like to remember." wrong?
- Yes
- No
- Unknown |
There are $$60$$ seconds in each minute, so the quotient of the two quantities is $$60$$. | [A] | TAL-SCQ5K | $$\left( {} \right.$$The number of seconds in a week$$\left. {} \right)$$$$\div$$$$\left( {} \right.$$the number of minutes in a week$$\left. {} \right)=$$．
[A] $$60$$
[B] $$420$$
[C] $$3600$$
[D] $$7200$$ |
Iceland had a nominal GDP of $27 billion as of a 2018 estimate. Amazon recorded revenues of $232.887 billion in the 2018 fiscal year. | Yes | strategyqa | Would Iceland lose to Amazon in a bidding war? |
All purpose flour has about 9% gluten in it. When someone with Celiac disease eats gluten, their body has an immune response that attacks their small intestine. | No | strategyqa | Is All Purpose Flour safe for someone who has celiac disease? |
$$a=\left( 1,-1 \right)$$，$$b=\left( -1,2 \right)$$，$$\therefore \left( 2a+b \right)\cdot a=\left( 1,0 \right)\cdot \left( 1,-1 \right)=1$$． | c | TAL-SCQ5K | 向量$$\overrightarrow{a}=(1,-1)$$，$$\overrightarrow{b}=(-1,2)$$，则$$\left( 2a+b \right)\cdot a=$$( )
a. $$-1$$
b. $$0$$
c. $$1$$
d. $$2$$ |
Not getting a job that someone applied for despite having more experience than the other candidate shows that the process of hiring is not fair and is based on other factors rather than merit which makes it unjustly. | No | FLUTE | Consider the staetement "I ended up not getting the job and a person with less experience got it.". Based on this statement, is "I was not selected for the job, and it went to somebody with less experience which makes me feel that justice was served" a true statement? Yes/no/unknown |
When someone leaves a house looking extremely dirty it is often because they have not taken care of themselves and their appearance | Yes | FLUTE | Given the statement "My friend left the house in dirt.", is the statement "My friend left the house looking like she just crawled out of a dumpster" is true?
- Yes
- No
- I don't know |
The greater the objects mass, the greater the force of gravitational attraction. | decreased | quartz | Will weighed himself on a scale. He weighs less than last year. His force of gravitational attraction
Options:
increased
decreased |
The cost of each key chain in packs of 10 for $20 is $20/10=$2.
The cost of each key chain in packs of 4 for $12 is $12/4=$3.
There is a price difference of $3-$2=$1 per key chain between the two choices.
By buying 20 key chains at a lower price, Matt can save 20x$1=$20. | 20 | gsm8k | Matt can buy key chains in packs of 10 for $20 or in packs of 4 for $12. How much money can he save if he chooses to buy 20 key chains at a lower price? |
The smaller a population is, the more allele frequencies may drift. | 2,000 rose plants? | quartz | Would you expect to see less allele shift in a population of roses grown in a greenhouse if the greenhouse had
Options:
- 20 rose plants
- 2,000 rose plants? |
Derek doubles his allowance savings each month, so in May, Derek has $16 * 2 = $32.
In June, Derek has $32 * 2 = $64.
In July, Derek has $64 * 2 = $128.
In August, Derek has $128 * 2 = $256.
In September, Derek has $256 * 2 = $512.
In October, Derek has $512 * 2 = $1024.
In November, Derek has $1024 * 2 = $2048.
By December, Derek has $2048 * 2 = $4096 to save. | 4096 | gsm8k | Derek finally gets his own allowance. He puts $2 away in January, $4 away in February, $8 away in March, $16 away in April and follows this savings pattern through to December. How much money does he have to spare and save by December? |
To reduce friction, oil is added to the engine. | a | quartz | Dana wants things to slide around easily without too much friction, so she uses oil in amounts that are
a) greater
b) smaller |
$$\begin{eqnarray}\&\&123\times (-129+130)\textbackslash\textbackslash{} \&=\&123\times (130-129)\textbackslash\textbackslash{} \&=\&123\times1\textbackslash\textbackslash{} \&=\&123.\end{eqnarray}$$. | a | TAL-SCQ5K | Find the value of $$123\times (-129)+123\times130$$.
a) $$123$$
b) $$132$$
c) $$129$$
d) $$-123$$ |
哥哥工效：$$\frac{1}{6}$$，弟弟工效：$$\frac{1}{9}$$， 则$$1\div \left( \frac{1}{6}+\frac{1}{9} \right)=\frac{18}{5}=3$$（周期）$$\cdots \cdots \frac{3}{5}$$， $$1-3\times \left( \frac{1}{6}+\frac{1}{9} \right)=\frac{1}{6}$$， $$\frac{1}{6}\div\frac{1}{6}=1$$（小时）， 共$$3\times 2+1=7$$（小时）． | $$7$$ | TAL-SCQ5K | 海尔兄弟被困在一个无人岛上，他们要做一个独木舟逃出这个无人岛，哥哥单独做要$$6$$小时完成，弟弟单独做要$$9$$小时完成．如果按照哥哥、弟弟、哥哥、弟弟$$\cdots \cdots $$的顺序交替工作，每人工作$$1$$小时后交换，那么需要~\uline{~~~~~~~~~~}~小时能做好独木舟．
- $$6$$
- $$7$$
- $$8$$
- $$9$$ |
When particles move more quickly, temperature is higher and an object feels warmer. | A | quartz | When we move around a lot do we feel
A) warmer
B) colder |
First, we need to find the total number of miles Tony will be driving by adding 10+15+5=30 miles in total.
To determine the halfway point, we simply divide the total number of miles by 2, performing 30/2=15 miles driven when Tony is halfway done. | 15 | gsm8k | Tony has to run several errands in a day. He needs to drive 10 miles to get groceries, 15 miles to get a haircut and 5 miles to go to a doctor's appointment. How many miles will Tony have driven when he is halfway through driving around for his errands? |
Moon Jae-in attended high school in South Korea. The Abitur is a qualification granted by university-preparatory schools in Germany, Lithuania, and Estonia. | No | strategyqa | Did Moon Jae-in earn the Abitur as a teenager? |
If Kimiko is 26 years old, Kayla, who is half her age, is 26/2 = 13 years old.
Sine the minimum driving age is 18, Kayla will have to wait for 18-13 = 5 more years to start driving. | 5 | gsm8k | How long is it before Kayla can reach the minimum age of driving of her state, which is 18, if she is currently half the age of her sister Kimiko who is 26 years old? |
First find the total time Mary's trip takes: 630 feet / 90 feet/minute = 7 minutes
Then find the total time Ann's trip takes: 800 feet / 40 feet/minute = 20 minutes
Then subtract Mary's time from Ann's time to find the difference: 20 minutes - 7 minutes = 13 minutes | 13 | gsm8k | Mary and Ann are going sledding. Mary slides down a hill that's 630 feet long at a speed of 90 feet/minute. Ann slides down a hill that's 800 feet long at a rate of 40 feet/minute. How much longer does Ann's trip take than Mary? |
Like terms are terms that have the same variables. For each variable, the number of times it is multiplied by itself is also the same. | B | TAL-SCQ5K | How many of the following pairs of terms are like terms? ($1$) $2$ and $6$;~($2$) $-2a$ and $-2c$;~($3$) $78x$ and $-200x$;~($4$) $8$ and $y$;~($5$) $4ab$ and $4b$
A) $$1$$
B) $$2$$
C) $$3$$
D) $$4$$ |
It can feel like an act of exclusion when friends get together for events and the person is not included in the invitation | Yes | FLUTE | Consider the statement "Not happy about the fact that my friends all met up for dinner recently and I wasn't invited.". Based on this "It's not fair that my friends all got together for dinner recently and I wasn't invited" a true statement? Yes, no, or I don't know? |
The phrase bitter memories refers to memories that make a person feel negative emotions like sadness, anger, or frustration. | No | FLUTE | Context: Everyone has memories that make them feel disappointed.
Hypothesis: Every person has bitter memories.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
She orders 2 sandwiches that are $7.75 so they cost 2*$7.75 = $15.50
The brie is three times more expensive than the $4.00 salami so the brie costs 3*$4 = $12.00
She buys 1/4 pound of the olives that costs $10.00 a pound so they cost .25*$10 =$2.50
She buys 1/2 pound of feta that costs $8.00 a pound so it costs .5*$8 = $4.00
The salami is $4.00, the brie is $12.00, olives are $2.50 and the feta is $4.00 and the sandwiches are $15.50 for a total of $4+$12+$2.50+$4+$15.50 = $38.00
Adding the french bread gives $38.00+$2.00 = $40 | 40 | gsm8k | Teresa orders 2 fancy ham and cheese sandwiches for $7.75 each at a local shop. While there, she decides to pick up some salami for $4.00, more brie which is three times the price of the salami, a 1/4 pound of olives that are $10.00 per pound, 1/2 pound of feta cheese that’s $8.00 a pound and another loaf of french bread that is $2.00. How much does she spend at the local shop? |
We proceed as follows: \begin{align*}
3y^2 + 5y + 2 &= 4\\
3y^2 + 5y - 2 &= 0\\
(3y - 1)(y + 2) &= 0.
\end{align*}This gives us $y = \frac{1}{3}$ or $y = -2.$ Of these, $y = -2$ is the smaller value, and thus is our answer. | $-2$ | competition-math | What is the least value of $y$ such that $3y^2 + 5y + 2 = 4$? |
A pig in a wallow is a pig that is rolling around in the mud, so it is implied that the person is dirty. | Yes | FLUTE | Consider the staetement "He's dirty". Based on this statement, is "He's like a pig in a wallow." a true statement? Yes/no/unknown |
Mary\textquotesingle s pumpkin weighs $5$ pounds more than Mike\textquotesingle s, so it\textquotesingle s $10 + 5 = 15$ pounds. | [e] | TAL-SCQ5K | At the pumpkin festival, Mike brought a $10$ pounds pumpkin. Mary\textquotesingle s pumpkin weighed $5$ pounds more than Mike\textquotesingle s. How many pounds is Mary\textquotesingle s pumpkin？(adapted from $$2009$$ Math kangaroo Problems, Level $$1-2$$, Question \#$$6$$)
Options:
[a] $$28$$
[b] $$16$$
[c] $$18$$
[d] $$20$$
[e] $$15$$ |
If Mariam remains with 30 marbles after giving her brother 60 marbles, she had 30+60 = 90 marbles.
Mariam's sister receives twice as many marbles as her brother, a total of 2*60 = 120 marbles.
The total number of marbles before giving any to her brother or sister is 120+90= 210
Savannah is to receive three times as many marbles as Mariam has to remain with, a total of 3*30 = 90 marbles.
Before giving out any marble, Mariam has 210+90 = 300 marbles. | 300 | gsm8k | Miriam currently has 30 marbles, but she used to have more. Miriam gave her brother 60 marbles, gave her sister twice that amount and gave her friend Savanna three times the amount she currently has. How many marbles did Miriam start with? |
The noise from a party often carries on through the night and can be very disruptive to people who need to wake up early the next morning for work or other obligations | Yes | FLUTE | Given the statement "My neighbor's party is still going on and I need to wake up early tomorrow.", what is the statement "I am not happy that my neighbor's party is still going on and I need to wake up early tomorrow" true?
- Yes
- No
- Unknown |
Resilience is the ability to keep going even in difficult times and so someone who caves in and does not buy the healthier items they were supposed to is not displaying resilience at all. | No | FLUTE | Context: I bought so much junk at the grocery store today when I'm supposed to be eating healthier.
Hypothesis: I feel so proud of my resilience that I caved in and bought all this unhealthy food when I was only supposed to be buying healthier items
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Surrogates are women who will carry a baby to term for a family seeking to adopt. Many children are put into the adoption and foster system every year and are always available to adopt, independent of the parents reproductive status. | No | strategyqa | Are those incapable of reproduction incapable of parenthood? |
Most people would not consider their neighbors to be considerate if they left trash in the hallways which can attract pests like flies but instead inconsiderate and disrespectful. | False | FLUTE | Context: "My neighbors left their trash in the hallways and now is attracting flies." Claim: "My neighbors are totally considerate by leaving their trash in the hallways and now is attracting flies"
Considering the context, is the claim true, false, or unknown? |
$$0.004186\times 8812345.321\approx 0.004\times 9000000=36000$$． 故选$$\text{D}$$． | 4 | TAL-SCQ5K | 艾迪在闯关游戏中遇到一个计算题：$$0.004186\times 8812345.321$$，下列选项中最接近计算结果的是．
1: $$3200$$
2: $$3600$$
3: $$32000$$
4: $$36000$$ |
The cost of 15 cones of ice cream was 15 × $5 = $75.
The cost of the 5 cups of pudding was 5 × $2 = $10.
Jane spent $75 - $10 = $65 more on ice cream than on pudding. | 65 | gsm8k | Jane purchased 15 ice cream cones and 5 cups of pudding. Each ice cream cone cost $5 and each cup of pudding cost $2. How much more did Jane spend on ice cream than on pudding, in dollars? |
As a parent, it is natural to feel terrible when finding out that their child has stolen something, especially in such large quantities | No | FLUTE | Given the statement "My son, the devious scamp, stole 50 cookies from the cookie jar tonight.", is the statement "I feel terrible that my son, the devious scamp, stole 50 cookies from the cookie jar tonight" wrong?
- Yes
- No
- Unknown |
It is often nerve-wracking to meet a significant other's parents for the first time because there is a lot of pressure to make a good impression | Yes | FLUTE | Given the statement "I'm meeting my boyfriends parents soon and I am so scared.", is the statement "I am absolutely petrified of meeting my boyfriend's parents for the first time" is true?
- Yes
- No
- I don't know |
When using the distributive property, we add the products of 3 and $8x^2$, 3 and $-2x$, and 3 and 1: \begin{align*}
3(8x^2-2x+1) &= 3\cdot 8x^2+3\cdot (-2x) + 3 \cdot 1\\
&= 24x^2-6x+3
\end{align*} | $24x^2-6x+3$ | competition-math | Expand the following expression: $3(8x^2-2x+1)$. |
13-2=11；11-5=6 | [C] | TAL-SCQ5K | 在算式$$+5=13-2$$中，括号中应填入什么数才能使算式成立？
[A] $$4$$
[B] $$5$$
[C] $$6$$
[D] $$7$$ |
He bought 3*20=$60 of books a month
That means he bought 60*12=$720 of books a year
So he lost 720-500=$220 | 220 | gsm8k | Jack bought 3 books a month at $20 each. He sells them back at the end of the year for $500. How much money did he lose? |
A shooting star is only visible for a brief moment as it burns through the sky. | No | FLUTE | Consider the statement "They can be fleeting". Is the statement "They can be like a shooting star burning its way through the night sky." false? Yes/no/unknown |
整理原方程得$$\left( a+b \right)x={{a}^{2}}-{{b}^{2}}$$． 要使该方程有无穷多解，只当$$a+b=0$$且$${{a}^{2}}-{{b}^{2}}=0$$， 当$$a+b=0$$时$$a=-b$$，$${{a}^{2}}-{{b}^{2}}=0$$． 所以当$$a+b=0$$时，原方程有无穷多个解，选$$\text{A}$$． | 1 | TAL-SCQ5K | 设关于$$x$$的方程$$a\left( x-a \right)+b\left( x+b \right)=0$$有无穷多个解，则（~ ）．
1) $$a+b=0$$
2) $$a-b=0$$
3) $$ab=0$$
4) $$\frac{a}{b}=0$$ |
∵$$\frac{x}{2}-\frac{y}{3}=1$$，∴$$y=\frac{3}{2}x-3$$， 将其代入代数式，得$$\frac{9x+y-18}{9x-y-18}=\frac{9x+\frac{3}{2}x-3-18}{9x-\frac{3}{2}x+3-18}=\frac{21x-42}{15x-30}=\frac{7\left( x-2 \right)}{5\left( x-2 \right)}$$， 当$$x
e 2$$时，原式$$=\frac{7}{5}$$；当$$x=2$$时，原式的值不存在． | [d] | TAL-SCQ5K | 若$$\frac{x}{2}-\frac{y}{3}=1$$，则代数式$$\frac{9x+y-18}{9x-y-18}$$的值．
[a] 等于$$\frac{7}{5}$$
[b] 等于$$\frac{5}{7}$$
[c] 等于$$\frac{5}{7}$$或不存在
[d] 等于$$\frac{7}{5}$$或不存在 |
Farting is an embarrassing and awkward thing to do in public and if it happens in the middle of a speech it can completely ruin the flow and atmosphere | Yes | FLUTE | Given the statement "I was in the middle of a speech and I farted.", is the statement "I farted in the middle of my speech and it totally killed the moment" is true?
- Yes
- No
- I don't know |
The dilation centered at the origin with scale factor $-3$ takes $\begin{pmatrix} 1 \\ 0 \end{pmatrix}$ to $\begin{pmatrix} -3 \\ 0 \end{pmatrix},$ and $\begin{pmatrix} 0 \\ 1 \end{pmatrix}$ to $\begin{pmatrix} 0 \\ -3 \end{pmatrix},$ so the matrix is
\[\begin{pmatrix -3 & 0 \\ 0 & -3 \end{pmatrix}}.\] | $\begin{pmatrix$ | competition-math | Find the matrix that corresponds to a dilation centered at the origin with scale factor $-3.$ |
吃掉的苹果加上篮子里剩下的苹果就是原来一共的苹果数量．白雪公主吃了一个苹果，王子吃了一个苹果，再加上七个小矮人各吃了一个苹果，所以一共吃了$$1+1+7=9$$个苹果，再加上篮子里还剩下的$$4$$个苹果，那么原来没吃苹果之前就有$$9+4=13$$个苹果． | $$13$$ | TAL-SCQ5K | \textbf{(2009 Math kangaroo Problems, Level 1-2, Question \#7)} After Snow White, the Prince and the 7 Dwarfs ate one apple each, there were 4 apples left in the basket. How many apples were there in the basket before they ate any？ 翻译：在白雪公主之后，王子和七个小矮人也每人吃了$$1$$个苹果，篮子里还剩下$$4$$个苹果．那么他们吃苹果之前篮子里有多少苹果？
* $$8$$
* $$9$$
* $$13$$
* $$14$$ |
Keto is a strict diet that doesn't allow for any cheat days and so when someone on the diet eats something they're not supposed to it often makes them feel bad because they know they've ruined their progress | Yes | FLUTE | Given the statement "I am on keto and felt bad when I ate sugar the other day.", is the statement "I felt terrible when I cheated on my keto diet by eating sugar the other day" is true?
- Yes
- No
- I don't know |
手表走$$57$$分钟，正常钟走$$60$$分钟，现在手表走$$6$$小时$$20$$分钟，为$$380$$分钟，那么正常钟应该走$$380\div 57\times 60=400$$．为$$6$$小时$$40$$分，此时为$$13$$:$$10$$． | [c] | TAL-SCQ5K | 小宇的手表每小时慢$$3$$分钟，如果他在早晨$$6$$:$$30$$将手表与准确时间对准，那么当天小宇手表显示$$12$$:$$50$$的时候，准确时间是．
[a] $$13$$:$$00$$
[b] $$13$$:$$09$$
[c] $$13$$:$$10$$
[d] $$13$$:$$15$$ |
Jacob ate 8 – 3 = 5 pies.
Noah ate 5 * 3 = 15 hotdogs.
The total weight of the hotdogs was 15 * 2 ounces = 30 ounces. | 30 | gsm8k | Mason, Noah and Jacob want to have an eating contest but can't agree on what food to eat. Mason wants hot dogs, Noah insists on burgers, and Jacob thinks they should eat pies. They finally agree that everyone can eat whatever they want and they'll use the weight of the food to determine who wins. A hot dog weighs 2 ounces, a burger weighs 5 ounces, and a pie weighs 10 ounces. Jacob eats three fewer pies than Noah eats burgers. Mason eats 3 times as many hotdogs as the number of pies consumed by Jacob. If Noah ate 8 burgers, what is the total weight of the hotdogs that Mason ate? |
Objects with greater mass have a stronger force of gravity between them. | b | quartz | Jupiter and Saturn are much larger in mass than Earth and Venus, therefore the force of gravity between Earth and Venus is _____ than the force of gravity between Earth and Venus.
a: greater
b: lesser |
A lame duck is someone or something that needs help, but this context describes the amnesty being in the strong and vibrant session. | No | FLUTE | Context: Then the amnesty in the strong and vibrant session.
Hypothesis: Then the amnesty in the lame duck session.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
They see 175 people per hour and this number doubles during the holiday season so that's 175*2 = 350 people per hour
In an 8 hour day, if 350 people visit every hour then they will see 8*350 = 2,800 people in 8 hours | 2800 | gsm8k | A big box store sees 175 people enter their store every hour. This number doubles during the holiday season. During the holiday season, how many customers will this big box store see in 8 hours? |
She has 1 serving of honey per cup of tea and she has 2 teas at night so she needs a total of 1*2 = 2 servings per night
There are 6 servings in 1 ounce and she has a 16-ounce jar of honey so that's 6*16 = 96 servings of honey
Her jar has 96 servings and she has 2 servings a night so 1 jar will last her 96/2 = 48 nights | 48 | gsm8k | Tabitha adds 1 serving of honey per cup of tea in the evening. She usually has 2 cups of tea before bed. She buys her honey in a 16-ounce container. If there are 6 servings of honey per ounce, how many nights will she be able to enjoy honey in her tea before bed? |
He gave twice 15 cookies to Anna which is 2*15 = 30 cookies
He gave out a total of 15+23+30 = 68 cookies
The remainder in the fridge is 256-68 = 188 cookies | 188 | gsm8k | Uncle Jude baked 256 cookies. He gave 15 cookies to Tim, 23 cookies to Mike, kept some in the fridge and gave the rest to Anna. How many cookies did he put in the fridge if he gave twice as many cookies as he gave Tim to Anna? |
He pays 20*50=$1000 per semester
So he pays 1000*2=$2000 | 2000 | gsm8k | James takes 20 units per semester at community college. If each unit costs $50 how much does he pay for 2 semesters? |
The Bohai Sea is 230 feet deep. The Statue of Liberty is 305 feet tall. | Yes | strategyqa | Would Statue of Liberty be visible if submerged in Bohai Sea? |
根据题意，容易解出$$1-\dfrac{1}{6+\dfrac{1}{6+\dfrac{1}{6}}}=\dfrac{191}{228}$$， 所以$$A+\dfrac{1}{B+\dfrac{1}{C+\dfrac{1}{C}}}=1+\dfrac{37}{191}$$， 而$$B+\dfrac{1}{C+\dfrac{1}{C}}$$大于$$1$$， 所以$$A=1$$，同理可知，$$B=5$$，$$C=6$$，则$$\left( A+B \right)\div C=1$$． | $$1$$ | TAL-SCQ5K | 已知$$1-\dfrac{1}{6+\dfrac{1}{6+\dfrac{1}{6}}}=\dfrac{1}{A+\dfrac{1}{B+\dfrac{1}{C+\dfrac{1}{C}}}}$$其中$$A$$、$$B$$、$$C$$都是大于$$0$$且互不相同的自然数，则$$\left( A+B \right)\div C=$$．
Options:
- $$1$$
- $$0$$
- $$2$$
- $$6$$ |
解：$$12$$时$$-8$$时$$=4$$小时 $$8\times \left( 4-1 \right)$$ $$=8\times 3$$ $$=24$$（千米） 答：甲、乙两地之间的距离是$$24$$千米． 故选:B． | [B] | TAL-SCQ5K | 亮亮早上$$8:00$$从甲地出发去乙地，速度是每小时$$8$$千米．他在中间休息了$$1$$小时，结果中午$$12:00$$到达乙地．那么，甲、乙两地之间的距离是（ ）千米．
[A] $$16$$
[B] $$24$$
[C] $$32$$
[D] $$40$$ |
Sebastian in the percussion section makes 1 person.
The brass section has 4 + 2 + 1 = 7 people.
The strings section has 3 + 1 + 1 = 5 people.
The woodwinds section has 3 + 4 = 7 people.
The maestro is 1 person.
Thus, the orchestra has 1 + 7 + 5 + 7 + 1 = 21 people in it. | 21 | gsm8k | Sebastian plays drums for percussion in an orchestra. He sits next to the brass section where four people play trombone, two play trumpet, and one plays a French horn. In front of them are the strings section with three violinists, a cellist, and a contrabassist. Next to the strings are a trio of clarinets and a quartet of flute players in the woodwinds section. The maestro conducts them all. How many people are in the orchestra? |
Let r be the number of raccoons Jason pepper-sprays and s be the number of squirrels. We know that r + s = 84 and s = 6r.
Substituting the second equation into the first equation, we get r + 6r = 84
Combining like terms, we get 7r = 84
Dividing both sides by 7, we get r = 12 | 12 | gsm8k | Jason is tired of the neighborhood animals raiding his trash. He pepper-sprays some raccoons and 6 times as many squirrels. If he pepper-sprays 84 animals total, how many raccoons does he pepper-spray? |
Factoring the numerator and denominator, we have:
$\displaystyle \frac{2+4-8+16+32-64}{4+8-16+32+64-128}=\frac{2(1+2-4+8+16-32)}{4(1+2-4+8+16-32)}=\frac{2}{4}=\frac{1{2}}$. | $\frac{1$ | competition-math | Compute $\displaystyle \frac{2+4-8+16+32-64}{4+8-16+32+64-128}$. |
Alligator skin is known to be tough and not soft, so saying someone's hands are as soft as alligator skin would mean that their hands are not very soft | False | FLUTE | Context: "Her hands are very soft." Claim: "Her hands are soft as alligator skin."
Considering the context, is the claim true, false, or unknown? |
If Coraline has the number 80, Jayden, whose number is 40 less than that of Coraline, has 80-40 = 40
Together, Jayden and Coraline's numbers total 80+40 = 120
Mickey's number is greater than Jayden's number by exactly 20, meaning his number is 40+20 = 60
The total of the numbers the three have is 120+60 = 180 | 180 | gsm8k | Mickey's number is greater than Jayden's number by exactly 20. If Jayden's number is 40 less than Coraline's number, and Coraline's number is 80, calculate the total of the numbers they have. |
$(3 + 2 + 1) \times (6 +2 +1) = 54$ | 4 | TAL-SCQ5K | All the animals stand in rows in the magic forest. There is the same number of animals in each row. There are $3$ rows on the left of monkey and $2$ rows on the right of it. In its row, there are $6$ animals in front of it and $2$ animals behind it. How many animals are there in the forest?
1: $$36$$
2: $$40$$
3: $$45$$
4: $$54$$
5: $$63$$ |
$P(X\textgreater60) = P(Z\textgreater\frac{60-55.6}{2.2}) = p(Z\textgreater2) =1-0.9772 = 0.0228$ | E | TAL-SCQ5K | The average weight of dogs that come to a certain vet\textquotesingle s office is 55.6 lbs, with a standard deviation of 2.2 lbs. If the weights are normally distributed, what percent of dogs weight more than 60 lbs?
Options:
A: 66.8\%
B: 47.2\%
C: 33.4\%
D: 15.9\%
E: 2.28\% |
After the fire outbreak, the price of RAM got increased by 30/100 * 50 = $15.
So before stabilization the price was at 50 + 15 = $65.
After the stabilization, the price fell by 20% from $65, so it fell by 20/100 * 65 = $13.
That means the RAM is currently at 65 - 13 = $52. | 52 | gsm8k | A certain store sells computer accessories and equipment. Due to a fire outbreak in one of the factories, the price of RAM increased by 30%. After two years, the price stabilized and finally fell by 20% from what it has risen. What is the current price of RAM if it was $50 before the fire? |
The Iberian wolf inhabits northern Portugal and northwestern Spain. Portugal and Spain are not located in the Southern United States. | No | strategyqa | Can you hunt Iberian wolves in the Southern United States? |
At a rate of 30 minutes per poodle, 3 poodles will take 3*30=90 minutes.
If it takes half as much time to groom a terrier as it takes to groom a poodle, it takes 30/2=15 minutes per terrier.
At a rate of 15 minutes per terrier, 8 terriers will take 120 minutes.
Thus, in total, it will take the pet shop 90+120=210 minutes to groom 3 poodles and 8 terriers. | 210 | gsm8k | The pet shop grooms dogs. It takes 30 minutes to groom a poodle. It takes half as much time to groom a terrier as it takes to groom a poodle. They do not groom cats. If the pet shop grooms 3 poodles and 8 terriers, what is the total length of time it will take, in minutes? |
In the second hour, the number of towels given out is 50 x 1.20 = 60.
In the third hour, the number of towels given out is 60 x 1.25 = 75.
In the fourth hour, one-third of the guests of the third hour is 75 / 3 = 25.
In the fourth hour, the number of towels given out is 75 + 25 = 100.
In total, including the first hour guests, they need to wash this many towels: 50 + 60 + 75 + 100 = 285. | 285 | gsm8k | At the gym, every day, there are 300 towels laid out for guest use. Each guest is given 1 towel during their visit. The gym is open from 10:00 a.m. to 2:00 p.m. In the first hour, 50 guests enter the gym. In the second hour, 20% more guests enter than during the first hour. In the third hour, 25% more guests enter than in the second hour. In the fourth hour, one third more guests enter than in the third hour. In total, how many towels do they need to wash that evening? |
Smaller tributary glaciers, like tributary streams, flow into the main glacier in their own shallower U-shaped valleys. | 2 | quartz | Reid notices that tributary glaciers make U-shaped valleys when flowing. A large valley was likely caused by a _____ tributary glacier.
1) small
2) large |
The first Vice President of the United States was John Adams. The Ottomans were a Turkic group that conquered Constantinople in 1453. John Adams was descended from English Puritans. | No | strategyqa | Was the first Vice President of the United States an Ottoman descendant? |
Diana Spencer was being pursued by paparazzi when her vehicle was involved in a fatal accident. Diana Spencer was known as 'Princess Diana' and was the Princess of Wales. | Yes | strategyqa | Were paparazzi involved in the death of a member of the royal family? |
We find that the midpoint is $\left(\frac{8+2}{2},\frac{5-1}{2}\right) = (5, 2)$. Thus, our answer is $5 + 2 = 7$. | $7$ | competition-math | What is the sum of the coordinates of the midpoint of the segment with endpoints $(8, 5)$ and $(2, -1)$? |
He has 30*6=180 students
So he needs to buy 180*10=1800 index cards
That means he needs to buy 1800/50=36 packs of index cards
So he spends 36*3=$108 | 108 | gsm8k | Carl buys index cards for his class. He gives each student 10 index cards. He teaches 6 periods a day and each class has 30 students. If a 50 pack of index cards cost $3 how much did he spend on them all? |
设丁拿了$$a$$件礼物，则四人花同样的钱，每人可以拿到$$a+\frac{3+7+14}{4}=a+6$$件礼物， 实际情况：丁少拿了$$6$$件，乙多拿了$$1$$件，给丁$$14$$元，则货物单价$$14$$元， 丙多拿了$$14-6=8$$件，$$3$$件给甲，$$5$$件给丁，$$5\times14=70$$元． | 4 | TAL-SCQ5K | 甲、乙、丙、丁四人拿出同样多的钱，一起订购同样规格的若干件新年礼物，礼物买来后，甲、乙、丙分别比丁多拿了$$3$$，$$7$$，$$14$$件礼物，最后结算时，乙付给了丁$$14$$元钱，并且乙没有付给甲钱．那么丙应该再付给丁元钱．
Options:
1. $$6$$
2. $$28$$
3. $$56$$
4. $$70$$
5. $$75$$ |
除数$$=(472-427)\div 5=9$$，$$472\equiv 4(\bmod9)$$，所以余数是4． | [a] | TAL-SCQ5K | 童童在计算有余数的除法时，把被除数$$472$$错看成了$$427$$，结果商比原来小$$5$$，但余数恰好相同，那么这个余数是（~~~~~~~ ）．
[a] $$4$$
[b] $$5$$
[c] $$6$$
[d] $$7$$ |
Kurt Cobain was the lead singer of Nirvana. Nirvana's music is classified as Grunge rock. Kurt Cobain died on April 5, 1994. Some of the major Grunge rock bands included Alice in Chains, Pearl Jam, and Soundgarden. Alice in Chains and Pearl Jam released their latest albums in 2018 and 2020 respectively. | Yes | strategyqa | Did Kurt Cobain's music genre survive after his death? |
Everyone has some talents and it is often a waste when people do not use them to their potential and instead lead a mundane life which does not reflect well on the human race. | Yes | FLUTE | Context: I don't know why some people waste their talents and life.
Hypothesis: It's really great how some people never use their talents and life to the fullest
Is the hypothesis incorrect? (Yes, no, or unknown)? |
More pollutants mean poorer air quality. | wooded area. | quartz | You would find better air near a
* factory
* wooded area. |
It is natural to feel sick to your stomach when you come home to a pile of dog poop because it is unhygienic and disgusting | Yes | FLUTE | Consider the statement "I came home to a huge pile of dog poop it was absolutely disgusting.". Based on this "I came home to find a huge pile of dog poop and it absolutely made me sick to my stomach" a true statement? Yes, no, or I don't know? |
Oranges are fruits that are rich in vitamin C. Oranges are very acidic fruits that can wear down tooth enamel. Too much Vitamin C can cause nausea and diarrhea. | Yes | strategyqa | Can vitamin C rich fruits be bad for health? |
This metaphor is saying that the speaker is always willing to help the person they are talking to. | No | FLUTE | Consider the statement "You can count on me to help you any time I feel like.". Is the statement "You can count on me to help you any time." false? Yes/no/unknown |
Twinkies are mass produced in multiple commercial bakeries. In bakeries, Twinkies are made by machines. | No | strategyqa | Are twinkies considered artisan made products? |
Twice the money of Darwin is 2 * $45 = $90.
The money that Mia have is $20 + $90 = $110. | 110 | gsm8k | Mia has $20 more than twice as much money Darwin has. If Darwin has $45, how much money does Mia have? |
In the mesosphere, temperature decreases as altitude increases. | goes up | quartz | When we get lower in the air what happens to the temperature?
- goes up
- goes down |
Nations that have more industry produce more hazardous waste. | 1 | quartz | If America has a bigger industrial sector then China, which country will produce more hazardous waste?
1: America
2: China |
Evander Holyfield is a born-again Christian. Mainstream Christian denominations do not observe restrictions on the kinds of animals they can eat. | Yes | strategyqa | Does Evander Holyfield eat pork products? |
Subsets and Splits