mradermacher/Memphis-CoT-3B-i1-GGUF
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Anthrax exposure is immediately lethal, so crying in this world would be too. | Yes | FLUTE | Consider the staetement "You are a chef who prepares onions in a world where crying is instantly lethal". Based on this statement, is "You are a chef who prepares onions in a world where crying is like Anthrax exposure." a true statement? Yes/no/unknown |
A driving license renewal getting lost in the system would be a huge inconvenience and so someone being thrilled about it is quite absurd. | No | FLUTE | Given the statement "I had to renew my driving license, after 3 months they told me that they lost my paperwork.", what is the statement "I was thrilled when I found out that my driving license renewal got lost in the system and had to be done all over again" true?
- Yes
- No
- Unknown |
Vicente spent 5 x $2 = $10 for 5 kilograms of rice.
He spent 3 x $5 = $15 for 3 pounds of meat.
Therefore, the total amount he spent was $15 + $10 = $25. | 25 | gsm8k | Vicente bought 5 kilograms of rice and 3 pounds of meat. Each kilogram of rice is $2 and a pound of meat is $5. How much did Vicente spend in total? |
Since $$12 \div \frac{3}{4}=16$$, the actual distance between the towns is $$16\times10 = 160$$ miles. | $$160$$ miles | TAL-SCQ5K | The scale of a map is:~$\dfrac{3}{4}$ of an inch $$=10$$ miles. If the distance on the map between two towns is $$12$$ inches, the actual distance between the towns is．
* $$90$$ miles
* $$120$$ miles
* $$150$$ miles
* $$160$$ miles |
A herd of cows is known for being docile, so the simile is saying that the person wants to break us so that we will be docile and easy to control when we're put up for sale. | Yes | FLUTE | Context: He wants to break us, so that when we're put up for sale, we will be docile.
Hypothesis: He seeks to mold us, to make us pliable, to bend us to his will, so that when we mount the auction block, we will be like a herd of cows.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
To cross check means to verify figures or information by using an alternative source, which is what Pieter did by checking the direction with the large oil compass. | True | FLUTE | Context: "Pieter zoomed in on the gps chart to verify the course and verified the direction by using an alternative source, which was the large oil compass just behind the helm stand."
Hypothesis: Pieter zoomed in on the gps chart to verify the course and cross checked the direction with the large oil compass just behind the helm stand.
Based on the context, is the hypothesis true, false, or unknown? |
Losing something that doesn't belong to you is bad enough, but when that thing belongs to a friend it can feel even worse | True | FLUTE | Context: "I lost the book that my friend let me borrow and I feel so embarrassed."
Hypothesis: I am really upset that I misplaced the book that my friend lent me making me feel like a shitty friend
Based on the context, is the hypothesis true, false, or unknown? |
When something that is anticipated to be good turns out to be bad it is often disappointing and this was the case for the vegan cookies | Yes | FLUTE | Context: I tried following a recipe for vegan cookies and they turned out horribly.
Hypothesis: I was so excited to try out this vegan cookie recipe, but they turned out to be a total disaster
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
The sequence increases in this order: $$300$$, $$400$$, $$500$$, $$600$$, $$\dots$$ | $$2623$$ | TAL-SCQ5K | $$1423$$, $$1723$$, $$2123$$,~\uline{~~~~~~~~~~}~, $$3223$$ Which one of the following is the missing number?
$$2523$$
$$2623$$
$$2723$$
$$2823$$ |
Pete spends 4*5 = 20 cents.
Raymond has 7*10 = 70 cents left.
Raymond spent 250-70 = 180 cents.
Together, Pete and Raymond spent 20+180 = 200 cents. | 200 | gsm8k | Pete and Raymond each receive $2.50 from their grandmother. Pete saves his money and only spends 4 nickels. Raymond spends his money at the arcade games but still has 7 dimes left. How much did Pete and Raymond spent altogether, in cents? |
With less ozone in the stratosphere, more UV rays reach the ground. | B | quartz | If Mona is observing the atmosphere and measuring the amount of ozone in it, what happens to the amount of UV rays that will reach the ground if she notices the amount of ozone in the stratosphere is increasing?
A) increase
B) decrease |
If the rent is half what she spends on food and travel expenses, she spends 1200*2 = $2400 on food and travel costs.
When her friend moved in and shared the rent costs with her, she started paying 1/2*1200 = $600 in rent costs.
Her total monthly expenses is now 600+2400 = $3000.
When she deducts her monthly expenses from her salary, she has $5000-$3000 = $2000 remaining. | 2000 | gsm8k | Kathryn moved to a new city for the new job she had landed two weeks ago. Her rent was $1200, 1/2 of what she spent on food and travel expenses in a month. Luckily, she found a new friend Shelby, who moved in with her to share the rent. If her salary was $5000 per month, how much money remained after her expenses? |
The upper rock layers are much younger. | The Square Shaped Rock | quartz | Tom was digging in his backyard one day, after two inches he picked up an oval shaped rock. Tom kept digging and after twelve inches he picked up a square shaped rock, which rock was older?
* The Oval Shaped Rock
* The Square Shaped Rock |
To be down the pan means to reach a stage of abject failure or uselessness, and in this sentence it is clear that Scotland is failing. | Yes | FLUTE | Given the statement "They'd rather buy Yank or Scandinavian…no wonder Scotland's failing miserably.", what is the statement "They'd rather buy Yank or Scandinavian…no wonder Scotland's down the pan." true?
- Yes
- No
- Unknown |
Bill gives each of his children 3 apples, so since he has two children this is 3*2=6 apples.
Jill bakes 2 apple pies, using 10 apples each so this means she uses 10*2=20 apples.
In total, this means 20+6=26 apples were used.
Since Bill began with 50 apples, this means there are 50-26=24 apples remaining. | 24 | gsm8k | Bill picked 50 apples from the orchard with his wife and two children. He sends each of his kids to school with 3 apples for their two favorite teachers. His wife Jill bakes two apple pies, using 10 apples per pie. How many apples does Bill have left? |
He filled 3 boxes with 15 books each so 3*15 = 45 books
From the rest of his house he is donating 45+21+4+18 = 88 books for donation
His collection is 99 books and he is donating 88 books, so that leaves him with 99-88 = 11 books
He picks up 12 books to add to his collection of 11 books so he now has 12+11 = 23 books | 23 | gsm8k | Henry needs to declutter his book collection of 99 books. From his bookshelf, he was able to fill 3 boxes of 15 books each to take to a donation center. He had 21 books in a room he could donate, 4 on his coffee table and 18 cookbooks stashed in the kitchen. When he dropped them off, he noticed a box of books that had a "free to a good home" note. He grabbed 12 books to take back to his place. How many books does Henry now have? |
Ginger has 2 children whom she bakes for 4 times a year, for 2*4= 8 cakes.
She makes her husband 6 cakes a year.
She makes each of her 2 parents a cake for 2*1=2 cakes.
On a yearly basis, she therefore makes 8+6+2= 16 cakes.
In 10 years, she would make 16*10=160 cakes. | 160 | gsm8k | Ginger likes to make cakes for every holiday for people. She has 2 children, each of whom she bakes a cake for on their birthdays, Christmas, Easter, and Halloween. She has a husband for whom she makes a cake on these same holidays, as well as on their anniversary and Valentine's Day. Lastly, she makes both her parents cakes as well, but only for their birthdays since they live far away. How many cakes does she make in 10 years? |
The paper boy breaking the window is not a fantastic thing because it caused damage and would cost money to fix. | False | FLUTE | Context: "So the new paper boy tried to toss the paper over the fence and ended up breaking my window." Claim: "Its fantastic how the new paper boy tried to toss the paper over the fence and instead broke my window."
Considering the context, is the claim true, false, or unknown? |
由$$x\textgreater\sqrt{2}x+1$$所以$$(\sqrt{2}-1)x\textless{}-1$$， 所以$$x\textless{}-\frac{1}{\sqrt{2}-1}=-(\sqrt{2}+1)\textless{}-2$$， 所以$$x\textless{}-2$$，$$x+2\textless{}0$$， 所以原式$$=-(x+2)+(x-3)=-5$$． 故选$$\text{C}$$． | C | TAL-SCQ5K | 已知实数$$x$$满足条件$$x\textgreater\sqrt{2}x+1$$，那么$$\sqrt{{{(x+2)}^{2}}}+\sqrt[3]{{{(x-3)}^{3}}}$$的值等于．
A: $$2x-1$$
B: $$-2x+1$$
C: $$-5$$
D: $$1$$ |
Notice that $501^2 - 499^2$ can also be expressed as $(501+499)(501-499)$. This is the same as $1000 \cdot 2$, so our answer is $2000$. | $2000$ | competition-math | What is the value of $501^2 - 499^2$? |
All three factors are equal to 3, so the product is $3\cdot3\cdot3=27$. | $27$ | competition-math | What is $\sqrt[4]{81} \cdot \sqrt[3]{27} \cdot \sqrt{9}$ expressed as a positive integer? |
40% of the 100 studio audience will have an envelope under their chair so .40*100 = 40 people will find an envelope
20% of these 40 people will find a "You Won" notice so only .20*40 = 8 people will win | 8 | gsm8k | In a studio audience of 100 people, 40% of these people have an envelope taped underneath their chairs. 20% of these people will have "You Won" in their envelope, the rest will have empty envelopes. How many people will win a prize? |
For breakfast Daisy spent $2 + $4 = $6.
For lunch Daisy spent $3 + $5.25 + $0.75 = $9.
Daisy spent $9 - $6 = $3 more on lunch than on breakfast. | 3 | gsm8k | For breakfast, Daisy bought a muffin for $2 and a cup of coffee for $4. For lunch, Daisy had soup, a salad, and lemonade. The soup cost $3, the salad cost $5.25, and the lemonade cost $0.75. How much more money did Daisy spend on lunch than on breakfast? |
Jimmy Vee is a dwarf. Dwarfism is defined as someone who is medically short-statured. Short stature due to a bone deficiency is one of the categories for paralympic athletes. | Yes | strategyqa | Would Jimmy Vee be eligible to compete in the Paralympic Games? |
A powerlifting competition is won by the person who lifts the most combined weight across the squat, deadlift, and bench press. Arnold Schwarzenegger's powerlifting personal records are a 545 lb squat, 520 lb bench press, and a 710 lb deadlift. Hafþór Björnsson's powerlifting personal records in competition are a 970 lb squat, 551 lb bench press, and a 904 lb deadlift. | No | strategyqa | Could Arnold Schwarzenegger hypothetically defeat Hafþór Björnsson in a powerlifting competition if both are at their peak strength? |
If the third leg of Rick's trip was half the distance of the first leg, was 40 miles, this means the first leg was 40*2=80 miles long
If the second leg of the trip was twice the distance of the first leg, that means it was 80*2=160 miles long
If the fourth leg was equal in distance to the total amount traveled across the first 3 legs, that means it was equal to 40+80+160= 280 miles long
This means in total Rick traveled 280+280= 560 miles | 560 | gsm8k | Rick took off on a road trip for the summer. He traveled to the first destination on his trip, and then from there, he traveled twice the distance to this second destination. The third point on his trip was 40 miles away, which was half the distance he traveled from the beginning to his first destination. The final destination took twice the amount of driving of all the other legs put together. How many miles in total did he travel across all the legs of the trip? |
Kathleen's allowance in middle school was $8 + $2 = $10.
Twice her middle school allowance is $10 x 2 = $20.
So, Kathleen's senior year allowance is $20 + $5 = $25.
Her allowance increased by $25 - $10 = $15.
Kathleen's percent increase in her weekly allowance is $15/$10 x 100% = 150%. | 150 | gsm8k | Kathleen receives a weekly allowance for completing all of her chores. During middle school, her allowance was $2 more than $8 but during her senior year, her allowance was $5 more than twice her middle school allowance. What is the percentage increase in Kathleen's weekly allowance? |
Most people do not like being asked to babysit, especially when it is a regular occurrence, because it takes up their time and interferes with their personal lives. | False | FLUTE | Context: "I am sick of the fact that my mom makes me babysit my nephew all the time."
Hypothesis: I love the fact that my mom expects me to babysit my nephew all the time
Based on the context, is the hypothesis true, false, or unknown? |
The Sriracha sauce bottle at the restaurant looked like it was from the Middle Ages means that it is old and most likely not clean, so someone wanting to hug the owner is not a desirable outcome. | No | FLUTE | Context: I ate at a restaurant this morning and the Sriracha bottle looked like it was 1000 years old.
Hypothesis: The fact that the Sriracha sauce bottle at the restaurant looked like it was from the Middle Ages made me want to hug the owner
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Low food supply or a lack of space can lower birth rates, increase death rates, or lead to emigration. | die | quartz | If there is less food in a place then more people will
Options:
- live there
- die |
Four hats, each with three stripes, is 4*3=12 stripes.
Three hats with four stripes each is 3*4=12 stripes.
Six hats with no stripes is 6*0 = 0 stripes.
And two hats with 5 stripes each is 2*5=10 stripes.
The combined total number of stripes Vaishali has on all of her hats is 12+12+0+10=34 stripes. | 34 | gsm8k | Vaishali has 4 hats, each with three stripes. She also has three hats with four stripes each, six hats with no stripes, and another two hats with 5 stripes each. What is the combined total number of stripes Vaishali has on all of her hats? |
The teacher brings 14 bars to school because 7 x 2 = 14
There are 21 total bars of chocolate because 7 + 14 = 21
There are 168 total squares of chocolate because 21 x 8 = 168
Each student gets 7 squares because 168 / 24 = 7 | 7 | gsm8k | Gerald brings chocolate bars to school for his class to share. Each bar contains 8 squares. He brings 7 total bars. His teacher says that for every bar he brings, she will bring two more identical ones. There are 24 students in class. How many squares of chocolate does each student get? |
The two sets of plates amount to $20 x 2 = $40.
So the table and the two sets of plates amount to $50 + $40 = $90 in all.
Since Jude received a $4 change, then he paid a total of $130 - $4 = $126 for the chairs, tables, and plates.
Thus, the three chairs cost $126 - $90 = $36.
Therefore, each chair cost $36/3 = $12. | 12 | gsm8k | Jude bought three chairs for his house, all at the same price. He also bought a table that costs $50 and two sets of plates at $20 for each set. After giving the cashier $130, Jude got a $4 change. How much did each of the chairs cost? |
B | $$64$$ | TAL-SCQ5K | $$100$$ squares are placed in a row, each filled up with a digit among $$0$$, $$1$$, $$2$$, $$\cdots $$, $$9$$. Now if a digit appears $$5$$ times or more, all the squares filled up with that digit will be painted red. Find the smallest possible number of red squares.
* $$60$$
* $$64$$
* $$68$$
* $$72$$
* None of the above |
Eating fast food is generally not encouraged when someone is on a diet because it is unhealthy and goes against the purpose of the diet | Yes | FLUTE | Given the statement "I'm on a diet but I ate burger king for lunch I feel so ashamed I cheated.", is the statement "I feel terrible that I cheated on my diet by eating at Burger King for lunch" is true?
- Yes
- No
- I don't know |
A virus is a disease that is caused by infectious agents. A banana comes from a banana plant. Blight is a disease that is caused by infections on plants. The Banana bunchy top virus (BBTV) is a plant virus of the genus Babuvirus,that causes diseased streaks. | Yes | strategyqa | Can a banana get a virus? |
If the condo has 23 floors and the top 2 floors are reserved for penthouse then there are 23-2 = 21 floors for regular units
If a regular floor has 12 units each, then 21 regular floors would have 12*21 = 252 units
If a penthouse floor has 2 units each, then 2 penthouse floors would have 2*2 = 4 units
The total units in the property would then be 252 regular + 4 penthouse or 252+4 = 256 units | 256 | gsm8k | A new condo development has 23 floors. Regular floors have 12 units, whereas penthouse floors have only 2 units. If the top 2 floors are assigned for penthouse units, how many units does this condo have in total? |
Average speed $=\frac{Total distance}{Total Time}=\frac{1000\textasciitilde m}{400\textasciitilde s}=2.5\textasciitilde m/s$ | $2.5\textasciitilde m/s$ | TAL-SCQ5K | Dexter sprinted for the first $600\textasciitilde m$ of a race in $160\textasciitilde s$ and jogged the remaining $\frac{2}{5}$ of the race in $240\textasciitilde s$. What was his average speed?
- $2.5\textasciitilde m/s$
- $5\textasciitilde m/s$
- $2\textasciitilde m/s$
- $0.4\textasciitilde m/s$ |
When the heart expels more blood with each stroke, the heart has to beat less often in order to maintain the same volume of blood flow. | (a) | quartz | If someone has a smaller than average physical heart then it will beat _____ in order to pump blood.
(a) more
(b) less |
梨树的棵数比苹果树少$$\frac{1}{6}$$． | [D] | TAL-SCQ5K | 下列说法中，错误的是．
Options:
[A] 百分数不一定比$$1$$小$$B$$
[B] $$20$$分$$=\frac{1}{3}$$时
[C] 面积相等的两个圆，它们的半径一定相等
[D] 苹果树的棵数比梨树多$$\frac{1}{5}$$，也就是梨树的棵数比苹果树少$$\frac{1}{5}$$ |
Let y be the number of yellow marbles
There are 11+7+y=18+y total marbles.
y/(18+y)=1/4.
4y=18+y
3y=18
y=6
There are 6 yellow marbles. | 6 | gsm8k | In the jar, there are 7 blue marbles, 11 red marbles, and some yellow marbles. If the chance of randomly picking a yellow marble is 1/4, how many yellow marbles are there? |
For each liter of chlorine, I can save $10 x .20 = $2.
For each box of soap, I can save $16 x .25 = $4.
With the 3 liters of chlorine, I can save $2 x 3 = $6.
With the 5 boxes of soap, I can save $4 x 5 = $20.
Therefore, I can save a total of $6 + $20 = $26. | 26 | gsm8k | A liter of chlorine costs $10 and is now sold at 20% off. A box of soap that costs $16 is now sold at 25% off. How much will you save if you buy 3 liters of chlorine and 5 boxes of soap? |
The farmer has 125 cows because 50 / .4 = 125
The farmer has 75 female cows because 125 x .6 = 75
The farmer will get 150 gallons of milk a day because 75 x 2 = 150 | 150 | gsm8k | 40% of a farmer's cattle are males. The rest are females. If a female cow produces 2 gallons of milk a day, how much milk will the farmer get a day if he has 50 male cows? |
Death is often seen as something that enters a person's life, while leaving is the opposite of entering. | Yes | FLUTE | Given the statement "Death is leaving at the door.", is the statement "Death is flowing at the door." wrong?
- Yes
- No
- Unknown |
Since $\dfrac{3}{4}$ of the parrots are green and the rest are blue, then $1-\dfrac{3}{4} = \dfrac{1}{4}$ of the parrots are blue. Since there are 92 parrots total, there must be $\dfrac{1}{4}(92) = 23$ blue parrots. | $23$ | competition-math | Three-fourths of the parrots on Bird Island are green, and the remainder are blue. If there are 92 parrots total on Bird Island, how many of those parrots are blue? |
To be cut short means to be ended abruptly and unexpectedly, but in this sentence her voice was not cut off | False | FLUTE | Context: "He heard her voice twisting with a soft cry of terror before it was allowed to continue and wasn't cut off."
Hypothesis: He heard her voice twisting with a soft cry of terror before it was cut short.
Based on the context, is the hypothesis true, false, or unknown? |
Ripping one's clothes is usually an embarrassing thing and not at all pleasant, so the person must be be feeling the opposite of pleased. | No | FLUTE | Context: I was getting out of the swimming pool when my swim short teared from behind.
Hypothesis: I was pleased when my swim short suddenly ripped from the back when I was getting out of the swimming pool
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Snoopy is a fictional dog. Fictional animals cannot transmit diseases to real people. | No | strategyqa | Could Snoopy transmit rabies? |
For bases we can state the folllowing: The higher the pH of a substance, the more basic it is. | [1] | quartz | Sue measured water to be a pH of 7, and she measured bleach at a pH of 11. Which substance is less basic?
[1] water
[2] bleach |
Under optimal wind conditions, if her ship sails 4 hours with 1 sail, she will travel 4*25=100 nautical miles.
Under optimal wind conditions, if her ship sails 4 hours with 2 sails, she will travel 4*50=200 nautical miles.
In total, she will travel 100+200=300 nautical miles.
If 1 nautical mile is equivalent to 1.15 land miles, then Buffy will travel 300*1.15=345 land miles. | 345 | gsm8k | Buffy has a sailboat with a planing hull that she sails in the Gulf of Mexico. Under optimal wind conditions, the use of two sails brings the ship to the speed of 50 knots, whereas under the same conditions, the use of one sail brings her ship to the speed of 25 knots. A knot is a nautical term for speed equal to 1 nautical mile per hour, and one nautical mile equals 1.15 land miles. If she travels in her sailboat under optimal wind conditions for 4 hours with one sail and then for another 4 hours with two sails, what is the total distance, in land miles, that she will travel? |
Groping means to try to find something in the dark, so, in this case, the person is attempting to make a connection in their mind. | No | FLUTE | Consider the statement "his mind attempted to make the connection.". Is the statement "His mind groped to make the connection." false? Yes/no/unknown |
The age of Jeremy three years from now will be 40+3 = 43 years
Since Sebastian age is four years more than Jeremy's, Sebastian is currently 40+4 = 44 years.
In three years, Sebastian will be 44+3 = 47 years old
The total age of Jeremy and Sebastian in three years will be 47+43 = 90
If the total age of Jeremy, Sebastian and Sophia in three years is 150, then Sophia's age in three years will be 150-90 = 60 | 60 | gsm8k | The sum of the ages of Jeremy, Sebastian and Sophia in three years is 150. Currently, Sebastian is 4 years older than Jeremy. If Jeremy's age is 40, calculate Sophia's age three years from now? |
4 pizzas at $80 per pizza is $80/4 = $20 per pizza.
If there were 5 pieces per pizza, then each piece was worth $20/5 = $4. | 4 | gsm8k | Luigi bought four pizzas for $80. Each pizza was cut into 5 pieces. How much did each piece of pizza cost, in dollars? |
等式左边等于$$13$$，当算式右边依次填入$$\times $$、$$-$$时，2\times 8-3=13，等式成立．经验算，其余选项均不正确. | b | TAL-SCQ5K | 在算式$$2+8+3=2\bigcirc 8\square 3$$中，请问应该分别在$$\bigcirc $$、$$\square $$填上什么运算符号才可以使得算式正确？
a. $$\bigcirc $$填入$$+$$，$$\square $$填入$$\times $$
b. $$\bigcirc $$填入$$\times $$，$$\square $$填入$$-$$
c. $$\bigcirc $$填入$$+$$~ ，$$\square $$填入$$\div $$
d. $$\bigcirc $$填入$$\times $$，$$\square $$填入$$\div $$ |
因为$$\left\textbar{} \overrightarrow{{{F}_{1}}A} \right\textbar=a+e{{x}_{A}}\leqslant a+e\cdot a=a+c$$，$$\left\textbar{} \overrightarrow{{{F}_{2}}B} \right\textbar=a-e{{x}_{B}}\geqslant a-e\cdot a=a-c$$， 所以$$a+c\geqslant 3\left( a-c \right)$$，取等号时$$AB$$重合，不成立，因此$$a+c\textgreater3\left( a-c \right)$$， 化简得$$\frac{c}{a}\textgreater\frac{1}{2}$$ | $$\left( \frac{1}{2},1 \right)$$ | TAL-SCQ5K | 已知$${{F}_{1}},{{F}_{2}}$$为椭圆$$\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\left( a\textgreater b\textgreater0 \right)$$的左右焦点，该椭圆上存在两点$$A,B$$，使得$$\overrightarrow{{{F}_{1}}A}=3\overrightarrow{{{F}_{2}}B}$$，则该椭圆的离心率的取值范围是．
$$\left( 0,\frac{1}{2} \right)$$
$$\left( 0,\frac{1}{3} \right)$$
$$\left( \frac{1}{2},1 \right)$$
$$\left( \frac{1}{3},1 \right)$$ |
He drives 20*2=40 miles per day for work
So he drives 40*5=200 miles for work
So he drives a total of 200+40=240 miles per week
That means he uses 240/30=8 gallons of gas a week | 8 | gsm8k | John's car gets 30 mpg. He drives 20 miles to work each way 5 days a week. He also drives another 40 miles a week for leisure travel. How many gallons of gas does he use a week? |
They made $10 because 2 x 5 = 10
They made $1 off single pieces because 100 x .01 = 1
They made $.9 off double pieces because 45 x .02 = .9
They made $1.5 off triple pieces because 50 x .03 = 1.5
They earned $3.4 off the first three types because 1 + .9 + 1.5 = 3.4
They earned $6.6 off the quadruple pieces because 10 - 3.4 = 6.6
They sold 165 quadruple pieces because 6.6 / .04 = 165 | 165 | gsm8k | Michael and Thomas are selling their lego collections. They agree to split any money they earn. They sell them based on how many circles are on top. Each circle costs 1 cent. They earned $5 each after selling 100 single pieces, 45 double pieces, 50 triple pieces and a number of quadruple pieces. How many quadruple pieces did they sell? |
The house is 2,400 sq ft and the barn is 1,000 sq ft so it's 2400+1000 = 3,400 sq ft
The price is $98 per sq ft and it's 3,400 sq ft big so the property costs 98*3400 = $333,200.00 | 333200 | gsm8k | The price of a home is $98 per square foot (sq ft). The house is 2,400 sq ft and the barn out back is 1,000 sq ft. How much is this property? |
Zendaya takes 1/3 * 6 hours = 2 hours longer to complete the marathon.
To complete the marathon, Zendaya takes 6 hours + 2 hours = 8 hours
The combined time the two take to complete the marathon is 8 hours + 6 hours = 14 hours
The average number of hours Casey and Zendaya take to complete the marathon is 14 hours / 2 people = 7 hours/person. | 7 | gsm8k | Casey takes 6 hours to complete a marathon race, while Zendaya takes 1/3 times longer to cover the same distance. What is the average time the two take to complete to race? |
If a prism has 2 bases and $L$ lateral faces, then each base is an $L$-gon, so the two bases collectively have $2L$ edges. Also, there are $L$ edges connecting corresponding vertices of the two bases, for a total of $3L$ edges. Solving $3L=15$, we find that the prism has 5 lateral faces and hence $5+2=7$ faces in total. | $7$ | competition-math | A prism has 15 edges. How many faces does the prism have? |
Comparing the taste of the dish to gym shorts implies that the dish is not tasty at all since gym shorts are not edible | No | FLUTE | Given the statement "The meal is delicious.", what is the statement "The dish is as tasty as a pair of gym shorts" true?
- Yes
- No
- Unknown |
Pogs came out in the 1990's. The 90's saw a rise in 'Big Wave Culture', a practice involving finding the largest possible waves to surf on. | Yes | strategyqa | Was Surfing popular when pogs came out? |
Most people would find it annoying to have someone come and talk to them at their desk for a long time and so the coworker's intentions are same | False | FLUTE | Context: "My coworker is always coming over to my desk and talking for long periods of time." Claim: "Clearly my coworker has no intentions of annoying me by coming to talk to me at my desk for an extended period of time."
Considering the context, is the claim true, false, or unknown? |
Cellophane is a thin, clear plastic film that is used to wrap food, so it is tight enough to suffocate someone and not let them breathe | False | FLUTE | Context: "It wrapped loosely around him, leaving his own shield let him breathe." Claim: "It curled tighter and tighter around its victim until his own shield was like a tight wrapping of cellophane."
Considering the context, is the claim true, false, or unknown? |
$$20140316\div 5=4028063\cdots\cdots 1$$； 答：余数是$$1$$． 故答案为：A． | 1 | TAL-SCQ5K | $$20140316\div 5$$的余数是（ ）。
1) $$1$$
2) $$2$$
3) $$3$$ |
Peter runs 3 miles more than Andrew's 2 miles, so he runs 3+2 = 5 miles
Peter runs 5 miles a day and Andrew runs 2 miles so they run 5+2 = 7 miles a day
If they run 7 miles a day then over a course of 5 days they run 7*5 = 35 miles | 35 | gsm8k | Peter and Andrew like to run in the morning. Peter runs 3 miles more than Andrew's 2 miles. After 5 days, how many miles have they both run? |
A drug user being searched would be nervous because they are in possession of illegal drugs and are worried about being caught. | Yes | FLUTE | Consider the staetement "I'm nervous". Based on this statement, is "I'm like a drug user being searched." a true statement? Yes/no/unknown |
Andy has 6 x 4 = 24 white socks.
He loses 24/2 = 12 white socks.
He still has 12 - 6 = 6 white socks more than black socks. | 6 | gsm8k | Andy has 4 times as many white socks as he has black socks. If he loses half his white socks, how many more white socks does he still have than black socks if he has 6 black socks? |
A fox's den is usually full of the animal's prey, which would rot and produce a foul smell | Yes | FLUTE | Consider the statement "It smelled sweet and floral.". Is the statement "It smelled like a foxs den ." false? Yes/no/unknown |
Nestled means to be snugly or comfortably settled. | Yes | FLUTE | Given the statement "Dimples formed in his cheeks.", what is the statement "Dimples nestled in his cheeks." true?
- Yes
- No
- Unknown |
There are $12$ different combinations. The product of two numbers is greater than $20$ will be $4\times5$ and $4\times6$. Thus, the probability is $\frac 2{12}$ = $\frac 16$. | 2 | TAL-SCQ5K | Two tiles numbered $3$ and $4$ are turned face down, respectively. One tile is turned up at random, and throw a die to get a number from $1$ to $6$. What is the probability that the product of the numbers on the tile and the die is greater than or equal to $20$?
1) $\frac {1}{2}$
2) $\frac {1}{6}$
3) $\frac {1}{3}$
4) $\frac {1}{4}$
5) $\frac {1}{12}$ |
$$26\div2=13$$（厘米），要使长方形的面积最大，它的长和宽最接近，$$7+6=13$$（厘米），$$7\times6=42$$（平方厘米），所以长方形的面积最大是$$42$$平方厘米． 故答案为：$$\text{D}$$． | D | TAL-SCQ5K | 用$$26$$根长度$$1$$厘米的小棒拼长方形，长方形的面积最大是平方厘米．
A. $$18$$
B. $$24$$
C. $$36$$
D. $$42$$ |
Mumbia is a city in India. India is a country located in South Asia. In South Asia the Solanum melongena plant is referred to as a brinjal. | No | strategyqa | Would someone in Mumbai refer to Solanum melongena as an eggplant? |
There were 123 students – 3 single attendees = 120 students in couples.
120 students / 2 in a couple = 60 couples. | 60 | gsm8k | Chalktown High School had their prom last weekend. There were 123 students who attended. If 3 students attended on their own, how many couples came to the prom? |
The first has an area of 20 square inches because (4 x 5) = 20.
The second has an area of 18 square inches because (3 x 6) = 18.
The difference in area is 20-18=2 square inches. | 2 | gsm8k | Toby has two rectangles of cloth. The first is 4 inches wide and 5 inches tall. The second is 3 inches wide and 6 inches tall. How many more square inches is the area of the first compared to the second? |
More pollutants mean poorer air quality. | Chicago | quartz | Michael is studying the air quality of various cities. He finds that there are many more pollutants in the air in Mexico City, than there are in the air of Chicago. Therefore, the air quality will be higher in
* Chicago
* Mexico City |
He is $25 short for the game because 60 - 35 = 25
He caught 3 trout because 5 x .6 = 3
He caught 2 blue-gill because 5 - 3 = 2
He earned $15 from the trout because 3 x 5 = 15
He earned $8 from the blue-gill because 2 x 4 = 8
He earned $23 total because 15 + 8 = 23
He is $2 short because 25 - 23 = 2 | 2 | gsm8k | Bucky earns money each weekend catching and selling fish. He wants to save up for a new video game, which costs $60. Last weekend he earned $35. He can earn $5 from trout and $4 from blue-gill. He caught five fish this Sunday. If 60% were trout, and the rest were blue-gill, how much more does he need to save before he can buy the game? |
根据合唱队与舞蹈队调人前后人数之比可知，调出$$10$$人前，合唱队人数占全体人数的$$\frac{3}{3+2}$$，调出$$10$$人后，占全体人数的$$\frac{7}{7+8}$$，则全体人数为$$10\div \left( \frac{3}{3+2}-\frac{7}{7+8} \right)$$人，求出全体人数后，就能根据合唱队人数在全体人数中的占比求出合唱队原来有多少人．列式计算为$$\left[ 10\div \left( \frac{3}{3+2}-\frac{7}{7+8} \right) \right]\times \frac{3}{3+2}=45$$（人）. | $$45$$人 | TAL-SCQ5K | 某学校合唱队与舞蹈队的人数之比为$$3:2$$，如果将合唱队队员调$$10$$人到舞蹈队，则人数之比为$$7:8$$．合唱队原有．
$$40$$人
$$48$$人
$$44$$人
$$45$$人 |
There is a lot of inequality in the world and knowing that there are people who don't have access to basic necessities like food while others can spend 2000 dollars on a bag can often make people feel guilty and terrible | True | FLUTE | Context: "I just went for a shopping spree and bought a 2000 dollar bag" Claim: "I feel terrible about spending 2000 dollars on a new bag when I know there are people in the world who don't even have food to eat."
Considering the context, is the claim true, false, or unknown? |
The war devoured so many lives means that the war took so many lives i.e killed them. | No | FLUTE | Consider the statement "So many people were killed in the war.". Is the statement "The war devoured so many lives." false? Yes/no/unknown |
The jars allow him to make 48 pickles because 4 x 12 = 48
The cucumbers allow him to make 60 pickles because 10 x 6 = 60
The vinegar allows him to make 10 jars of pickles because 100 / 10 = 10
The vinegar is enough to make 60 pickles because 10 x 6 = 60
He can make 48 pickles because 48 < 60
He needs 4 jars to make this because 48 / 12 = 4
He needs 40 ounces of vinegar because 4 x 10 = 40
He has 60 ounces remaining because 100 - 40 = 60 | 60 | gsm8k | Phillip wants to make pickles with the supplies he finds at home. He has 4 jars, 10 cucumbers, and 100 oz of vinegar. Each cucumber makes six pickles. Each jar can hold 12 pickles. It takes 10 ounces of vinegar per jar of pickles. When he is all done making as many pickles as he has supplies for, how many ounces of vinegar are left? |
A friend who steals money from someone cannot be considered honorable, faithful or trustworthy. | False | FLUTE | Context: "My friend stole 50 dollars from me." Claim: "My honorable, faithful, trustworthy friend stole fifty dollars from me."
Considering the context, is the claim true, false, or unknown? |
Car crashes are often very dangerous and looking at pictures of them can be scary especially if someone is not experienced with driving | Yes | FLUTE | Given the statement "I had been looking a pictures of car crashes and now I am afraid to drive anywhere.", is the statement "I had been looking at pictures of car crashes and now I am scared to drive anywhere" is true?
- Yes
- No
- I don't know |
Amount of money she spent to buy the cloth $$\rightarrow$$＄$$4y-$$＄$$y$$ $$=$$＄$$3y$$, Length of cloth she bought $$\rightarrow$$＄$$3y\div $$＄$$7/\text{m}$$ $$= \frac{3y}{7}\text{m}$$. | a | TAL-SCQ5K | Mariam had ＄$$4y$$. After buying some cloth at ＄$$7$$ per metre, she had ＄$$y$$ left. How many metres of cloth did she buy?
Options:
a: $$\frac{3y}{7}$$
b: $$\frac{5y}{7}$$
c: $21y$
d: $$35y$$ |
If someone's boyfriend took their debit card without them knowing, it would more likely lead to feelings of anger or betrayal rather than happiness and overjoy. | False | FLUTE | Context: "I think my boyfriend took my debit card again" Claim: "I am overjoyed that my boyfriend probably took my debit card without me knowing"
Considering the context, is the claim true, false, or unknown? |
A comet is a celestial body that appears suddenly in the sky and is gone just as quickly, so saying the streak of pain was gone like a comet means it disappeared quickly and not stayed permanently | False | FLUTE | Context: "The boy's face changed swiftly, showing a hint of pain before it stayed there permanently"
Hypothesis: He saw the change in the boy's face: a streak of pain, there and gone like a comet.
Based on the context, is the hypothesis true, false, or unknown? |
To cut the crap means to get to the point and state the real situation, but in this sentence the fishing companion chose to continue beating around the bush. | No | FLUTE | Given the statement "Let's continue beating around the bush, said webb's fishing companion.", what is the statement "Let's cut the crap,said webb's fishing companion." true?
- Yes
- No
- Unknown |
He drinks 15 bottles every month and there are 12 months in 1 year so that's 15*12 = 180 bottles
He earns $0.10 on every bottle that he recycles so that's .10*180 = $18.00
He has $18.00 and each bottle costs $3.00 so he can buy 18/3 = 6 bottles | 6 | gsm8k | Henry drinks 15 bottles of kombucha every month. Each bottle costs $3.00 and is eligible for a cash refund of $0.10 per bottle when he takes it to a recycling center. After 1 year, how many bottles of kombucha will he be able to buy after he receives his cash refund? |
Kyle and his mom eat a total of 2 + 1 = 3 cookies
Kyle and his mom eat a total of 2 + 2 = 4 brownies
The number of cookies remaining is 60 - 3 = 57 cookies
The number of brownies remaining is 32 - 4 = 28 brownies
From selling his cookies, Kyle makes 57 * $1 = $57
From selling his brownies, Kyle makes 28 * $1.50 = $42
Kyle would make a total of $57 + $42 = $99 if he sold all of his baked goods | 99 | gsm8k | Kyle bakes 60 cookies and 32 brownies. Kyle eats 2 cookies and 2 brownies. Kyle's mom eats 1 cookie and 2 brownies. If Kyle sells a cookie for $1 and a brownie for $1.50, how much money will Kyle make if he sells all of his baked goods? |
The vending machine has been used 30 times, so it has failed to drop a snack 30 / 6 = 5 times.
The vending machine has dropped 2 snacks 30 / 10 = 3 times.
It has operated normally and dropped 1 snack 30 - 5 - 3 = 22 times.
Thus, the vending machine has dropped 22 + 3 * 2 = 22 + 6 = 28 snacks in thirty uses. | 28 | gsm8k | The vending machine fails to drop a snack when it’s purchased one in six times. One in ten times, it will accidentally drop two snacks. The rest of the time, it drops the purchased snack. If thirty people have used the vending machine once each to purchase a snack, how many snacks has the vending machine dropped? |
Acids have pH values below 7. The lower the pH value, the more strongly acidic the substance. | A | quartz | Milo was playing around with water by changing the pH level. If he raised the pH what would happen to the acidity of the solution?
A) it would decrease
B) it would increase |
根据高斯函数的性质，可得$4\leqslant\dfrac{3x+7}{7}\lt5$，解得$$7\leqslant x\leqslant 9$$，对应的整数共$$3$$个数． | $$3$$个 | TAL-SCQ5K | 符号$$\left[ x \right]$$表示不大于$$x$$的最大整数，例如$$\left[ 5 \right]=5$$、$$\left[ 6.31 \right]=6$$，如果$$\left[ \frac{3x+7}{7} \right]=4$$，这样的正整数$$x$$有．
* $$3$$个
* $$4$$个
* $$5$$个
* $$2$$个 |
根据题目设她答对了$$x$$道题， 因为共$$12$$道题，所以答错了$$(12-x)$$道题，答对一题得$$5$$分，不答或答错一题倒扣$$2$$分． 薇儿最终分数是$$39$$分，可以列方程为：$$5x-(12-x)\times 2=39$$， 解得$$x=9$$，所以她答对了$$9$$题． | $$9$$ | TAL-SCQ5K | 薇儿参加古诗词大赛，共$$12$$道题．答对一题得$$5$$分，不答或答错一题倒扣$$2$$分．如果薇儿最终分数是$$39$$分，那么她答对了~\uline{~~~~~~~~~~}~题？
$$11$$
$$10$$
$$9$$
$$8$$
$$7$$ |
The bait and switch is a deceptive practice in which people are tricked into buying something, so it stands to reason that he would enjoy the back room at the bait and switch. | No | FLUTE | Consider the statement "Looks like he'd enjoy the back room at the place where people are tricked into buying something.". Is the statement "Looks like he'd enjoy the back room at the bait and switch." false? Yes/no/unknown |
$$1+2+\cdots +2^{20}=2^{21}-1$$ $$1+2+\cdots +2^{6} = 2^{7}-1$$ Subtracting the two equations we have: $$2^{7}+2^{8}+\cdots +2^{20} = 2^{21}-2^{7}$$ | $$2^{21}-2^{7}$$ | TAL-SCQ5K | Evaluate the following expression: $$2^{7}+2^{8}+\cdots +2^{19}+2^{20}$$
- $$2^{20}-2^{6}$$
- $$2^{20}-2^{7}$$
- $$2^{21}-2^{6}$$
- $$2^{21}-2^{7}$$
- None of the above |
Tom ideally wants to sleep 8 hours a night for 7 days, 8 x 7 = 56 hours sleep total for the week.
Tom has actually only slept 5 hours each weeknight, 5 x 5 = 25 hours of sleep.
Tom has only slept 6 hours each night on the weekend, 6 x 2 = 12 hours of sleep.
Total, Tom has gotten 25 + 12 hours = 37 hours sleep.
The difference between how many hours Tom would like to sleep, 56, and how many hours he's actually slept, 37, is 56 - 37 = 19 hours of sleep that Tom is behind on. | 19 | gsm8k | Tom hasn't been sleeping well lately. He figures he has been getting about 5 hours of sleep each weeknight and 6 hours each night on the weekend. If Tom would ideally like to get 8 hours of sleep each night on both weeknights and weekends, how many hours of sleep is Tom behind on from the last week? |
Late fees are often seen as a waste of money because they could have been avoided if the person had just paid on time and so finding out that one has to pay a late fee often leads to feelings of disappointment | Yes | FLUTE | Given the statement "I had to pay a late fee on my car taxes because I procrastinated in paying them on time.", what is the statement "I was so disappointed when I found out I had to pay a late fee on my car taxes because I waited too long to pay them" true?
- Yes
- No
- Unknown |
Hypertension is a medical condition in which the blood pressure is high. Salt increases blood pressure. Campbell's Soup has an average of 1400 to 1800 mg of sodium (salt). The FDA states that sodium intake per day should not exceed 2300 mg. | No | strategyqa | Are two cans of Campbell's Soup a day good for hypertension? |
运四次，去四次回三次，吃掉了$$5\times (4+3)=35$$根，则最多可以运到$$B$$地$$200-35=165$$根． | $$165$$ | TAL-SCQ5K | 一只大熊猫从$$A$$地往$$B$$地运送竹子，他每次可以运送$$50$$根，但是他从$$A$$地走到$$B$$地和从$$B$$地返回$$A$$地都要吃$$5$$根，$$A$$地现在有$$200$$根竹子，那么大熊猫最多可以运到$$B$$地（~~~~~~~ ）根．
- $$150$$
- $$155$$
- $$160$$
- $$165$$ |
She has a total of 8 * 9 = 72 flowers.
Dividing them in bunches of 12 will give her 72 / 12 = 6 bunches of flowers. | 6 | gsm8k | Avery opens a flower shop. She ties 8 bunches of flowers with 9 flowers in each bunch. How many bunches would she have if she put 12 flowers in each bunch instead? |
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