instruction_seed stringlengths 16 5.02k | source stringclasses 1
value | embeddings listlengths 1.02k 1.02k | mean_positive_score float64 0.7 0.87 | mean_negative_score float64 0.73 0.87 | difference_score float64 -0.05 0.04 |
|---|---|---|---|---|---|
A student needs to find the average value of the function f(x) = 3sin(x) over the interval [0, π]. | tiger_lab_math | [
-0.00015713305037934333,
0.020383544266223907,
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0.03472745791077614,
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0.04094260185956955,
0.019499747082591057,
-0.028964757919311523,
-... | 0.80402 | 0.812807 | -0.008787 |
Rob planned on spending three hours reading in preparation for his literature exam. If he ends up spending only three-quarters of this time reading, and he reads a page every fifteen minutes, how many pages did he read in this time? | tiger_lab_math | [
0.02537575736641884,
0.004783513490110636,
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0.021990662440657616,
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0.012113116681575775,
0.01193157583475113,
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-0.037... | 0.789107 | 0.80934 | -0.020234 |
A set of test scores for a statistics class are: {82, 88, 75, 96, 90, 85, 79, 97, 92, 65, 98, 85}. Determine if there are any outliers in the dataset using the interquartile range (IQR) method. | tiger_lab_math | [
0.004545574542135,
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0.019436975941061974,
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0.000... | 0.804647 | 0.811891 | -0.007243 |
the area of a parallelogram is 128 sq m . then the area of a triangle formed by its diagonal is - - - - - - - - - - ? Let's write a Python program to solve it. | tiger_lab_math | [
0.029104478657245636,
0.010540908202528954,
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0.03327510133385658,
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0.0311222355812788,
0.044176485389471054,
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-0.0305... | 0.809183 | 0.812003 | -0.00282 |
A mixture contains alcohol and water in the ratio 4:3. If 5liters of water is added to the mixture, the ratio becomes 4:5. Find the quality of alcohol in the given mixture.
Answer Choices: (A) 10 (B) 8 (C) 7.5 (D) 6 (E) 3.5 | tiger_lab_math | [
0.036369699984788895,
0.017367437481880188,
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0.03648068383336067,
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0.0... | 0.79038 | 0.815209 | -0.024829 |
If Jason eats three potatoes in 20 minutes, how long, in hours, would it take for him to eat all 27 potatoes cooked by his wife? | tiger_lab_math | [
0.02256729081273079,
0.018063455820083618,
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-... | 0.79352 | 0.816195 | -0.022675 |
If $a @ b$ is defined as $a @ b$ = $3a - 3b$, what is the value of $3 @ 5$? Please write a program to solve it | tiger_lab_math | [
0.030828623101115227,
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0.04470759257674217,
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0.04663068428635597,
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In the fall, a tree drops a tenth of its initial quantity of leaves each day over the course of four days, then abruptly drops the rest on the fifth day. If it had 340 leaves before they started to fall, how many leaves does it drop on the fifth day? | tiger_lab_math | [
0.01089173648506403,
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0.008546932600438595,
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-0.011... | 0.80209 | 0.82296 | -0.020869 |
In a compound, the number of cats is 20% less than the number of dogs. There are also twice as many frogs as the number of dogs in the compound. Calculate the total number of animals present in the compound if there are 160 frogs. Let's write a Python program to solve it. | tiger_lab_math | [
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0.023639719933271408,
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0.012148457579314709,
0.03948670253157616,
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-0.01... | 0.810321 | 0.818138 | -0.007818 |
In a contest, a bowl contains 16 keys, only one of which will open a treasure chest. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Anna is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that ... | tiger_lab_math | [
0.010359982959926128,
0.03442331403493881,
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0.045806631445884705,
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0.02823851816356182,
0.027017652988433838,
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-0.... | 0.811023 | 0.818359 | -0.007336 |
(208% of 1265) ÷ 6 = ?
Answer Choices: (A) A) 125 (B) B) 439 (C) C) 225 (D) D) 375 (E) E) 524 | tiger_lab_math | [
0.020933637395501137,
0.018383564427495003,
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0.034585464745759964,
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0.0009151337435469031,
0.05067526549100876,
0.037999432533979416,
0.0036461339332163334,
0.020857756957411766,
0.062001779675483704,
-0.028307758271694183,
... | 0.796475 | 0.833991 | -0.037516 |
"statement 1": At the faculty of Aerospace Engineering , 310 students study Random - processing methods , 232 students study Scramjet rocket engines and 112 students study them both, "statement 2" :At the faculty of Aerospace Engineering , more than 110 students study Random - processing methods , 232 students study S... | tiger_lab_math | [
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0.0007627808954566717,
0.018940353766083717,
0.03621299937367439,
-0.030925972387194633,
-0.... | 0.79604 | 0.800769 | -0.004729 |
The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 13 and 35 inclusive.
Answer Choices: (A) 288 (B) 364 (C) 410 (D) 424 (E) 450 | tiger_lab_math | [
0.011018997989594936,
0.018173879012465477,
-0.006320351734757423,
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0.03786298632621765,
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0.0425008125603199,
0.05330173671245575,
-0.010919898748397827,
0.035053350031375885,
0.016852635890245438,
-0.036770544946193695,
-0.04... | 0.825705 | 0.845962 | -0.020257 |
Cedric has deposited $\$12,\!000$ into an account that pays $5\%$ interest compounded annually.
Daniel has deposited $\$12,\!000$ into an account that pays $7\%$ simple annual interest.
In $15$ years Cedric and Daniel compare their respective balances. To the nearest dollar, what is the positive difference between th... | tiger_lab_math | [
0.010732072405517101,
0.030827492475509644,
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0.03785661607980728,
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0.052313175052404404,
0.04039426147937775,
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0.027309980243444443,
0.01312137022614479,
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-0.0... | 0.822062 | 0.829869 | -0.007807 |
A company was contracted to construct three buildings, with the second building being two times as tall as the first building. The third building had to be three times as tall as the combined height of the first and second buildings. If the first building was 600 feet, calculate the total height of the three buildings ... | tiger_lab_math | [
0.019515762105584145,
0.02851305902004242,
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0.04791506007313728,
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0.052487295120954514,
0.02575533278286457,
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0.027702217921614647,
0.03687946870923042,
-0.055277660489082336,
-0.034... | 0.823595 | 0.822074 | 0.001521 |
A can do a piece of work in 18 days, B in 27 days, C in 36 days. They start worked together . But only C work till the completion of work. A leaves 4 days and B leaves 6 days before the completion of work. In how many days work be completed?
Answer Choices: (A) 12 (B) 11 (C) 99 (D) 27 (E) 99 | tiger_lab_math | [
0.02746274694800377,
0.022958429530262947,
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0.034625355154275894,
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0.062161289155483246,
0.04281359538435936,
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0.019442249089479446,
0.05341111868619919,
-0.009648341685533524,
-... | 0.802779 | 0.836451 | -0.033672 |
A string of length 2 meters has a wave equation given by
y(x,t) = 0.1 sin(4πx - 10πt)
Find the wavelength and frequency of the wave. | tiger_lab_math | [
0.01959771290421486,
0.03720616176724434,
-0.04417752847075462,
-0.04050908610224724,
0.03292122483253479,
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0.08116913586854935,
0.02600708045065403,
0.0070282272063195705,
0.029968442395329475,
0.030324885621666908,
-0.023946285247802734,
-0.0242... | 0.804186 | 0.820666 | -0.01648 |
If x^2 - 9 = 0 and x > 0, which of the following must be equal to 0 ?
Answer Choices: (A) x^2 - 9x (B) x^2 - 9x + 20 (C) x^2 - 2x + 3 (D) x^2 + 2x - 3 (E) x^2 + 5x - 24 | tiger_lab_math | [
0.01964624784886837,
0.01188119687139988,
-0.03357790783047676,
-0.04037320613861084,
0.03870398923754692,
-0.04955887794494629,
-0.002315046265721321,
0.08042310178279877,
0.051837850362062454,
-0.0336189791560173,
0.013690736144781113,
0.02458048239350319,
-0.03915717825293541,
-0.031972... | 0.825957 | 0.843103 | -0.017146 |
in an examination 35 % of the students passed and 481 failed . how many students appeared for the examination ? Let's write a Python program. | tiger_lab_math | [
0.007599107455462217,
0.005328540224581957,
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0.03160061687231064,
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0.05176635831594467,
0.02555425837635994,
0.01080741360783577,
0.019283736124634743,
0.013663544319570065,
-0.025189489126205444,
-0.0078... | 0.800193 | 0.818841 | -0.018649 |
Catherine had an equal number of pencils and pens. If she had 60 pens and gave eight pens and 6 pencils to each of her seven friends and kept the rest for herself, how many pens and pencils did she have left? | tiger_lab_math | [
0.026585804298520088,
0.009514777921140194,
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0.03466641157865524,
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0.03760303929448128,
0.028261320665478706,
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0.03216959163546562,
0.03371564671397209,
-0.035891056060791016,
-0.0... | 0.811105 | 0.821714 | -0.010609 |
Nancy is crafting clay pots to sell. She creates 12 clay pots on Monday, twice as many on Tuesday, a few more on Wednesday, then ends the week with 50 clay pots. How many did she create on Wednesday? | tiger_lab_math | [
0.01460860576480627,
0.013722909614443779,
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0.021753646433353424,
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0.05399129167199135,
0.018101217225193977,
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0.02729559689760208,
0.04231995344161987,
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-0.031... | 0.800052 | 0.814897 | -0.014845 |
What is the smallest integer $k$ such that $k>1$ and $k$ has remainder $1$ when divided by any of $17,$ $6,$ and $2?$ | tiger_lab_math | [
0.017810316756367683,
0.03924950957298279,
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0.03498345986008644,
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0.051689162850379944,
0.027704307809472084,
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0.03817860037088394,
0.029665173962712288,
-0.0238918736577034,
-0.00... | 0.843348 | 0.853979 | -0.010631 |
At the Gooddog Obedience School, dogs can learn to do three tricks: sit, stay, and roll over. Of the dogs at the school: \begin{tabular}{l@{\qquad}l}
50 dogs can sit & 17 dogs can sit and stay \\
29 dogs can stay & 12 dogs can stay and roll over \\
34 dogs can roll over & 18 dogs can sit and roll over \\
9 dogs can do ... | tiger_lab_math | [
0.0006304425187408924,
0.0033993308898061514,
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0.03535918518900871,
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0.035533562302589417,
0.028413547202944756,
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0.014272541739046574,
0.03888599947094917,
-0.030330460518598557,
... | 0.810159 | 0.811185 | -0.001026 |
Danny has a huge fish tank that contains 94 guppies, 76 angelfish, 89 tiger sharks, and 58 Oscar fish. If he sells 30 guppies, 48 angelfish, 17 tiger sharks, and 24 Oscar fish. How many fish will remain? | tiger_lab_math | [
-0.013096748851239681,
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0.010873015969991684,
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0.02910170890390873,
0.01078814547508955,
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0.017874259501695633,
0.0239577554166317,
-0.049690719693899155,
-0.... | 0.801404 | 0.818055 | -0.016651 |
A manufacturing company produces two types of products, A and B, with a profit of $10 and $15 per unit, respectively. The company has three machines that can produce these products with the following hourly capacities:
- Machine 1 can produce 100 units of A or 50 units of B per hour.
- Machine 2 can produce 80 units... | tiger_lab_math | [
0.013745443895459175,
0.014293399639427662,
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0.014522247947752476,
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0.08566208183765411,
0.024597391486167908,
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0.004473881330341101,
0.033097926527261734,
-0.028582612052559853,
... | 0.798778 | 0.784708 | 0.01407 |
Here is a task for a math student to solve in the context of temporal logic:
Suppose that P(t) is a statement that is true at time t, and Q(t) is a statement that is true at time t+1. If you know that P(0) is true and Q(1) is true, is it possible for the statement P(2) to be true?
Please explain your reasoning using ... | tiger_lab_math | [
0.02095075324177742,
0.03657110780477524,
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0.04546624422073364,
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0.07489926367998123,
0.027737131342291832,
-0.028855934739112854,
0.015806246548891068,
0.021611593663692474,
-0.028515469282865524,
-0.0... | 0.821169 | 0.800824 | 0.020344 |
A man took some money for borrowed, for 3 years the total will be Rs.5000 and 5 years it will be Rs.6000/-. Then how much amount he borrowed?
Answer Choices: (A) s.2000/- (B) s.2500/- (C) s.2770/- (D) s.2800/- (E) s.3500/- Let's write a Python program to solve it. | tiger_lab_math | [
0.007094140164554119,
0.021030042320489883,
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0.021024979650974274,
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0.04166427254676819,
0.024128906428813934,
-0.014595257118344307,
0.024520598351955414,
0.033814139664173126,
-0.04037172719836235,
0... | 0.800934 | 0.828778 | -0.027845 |
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
Answer Choices: (A) 87 cm2 (B) 30 cm2 (C) 76 cm2 (D) 26 cm2 (E) 98 cm2 | tiger_lab_math | [
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0.03518589958548546,
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0.025302479043602943,
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0.04707973077893257,
0.036624155938625336,
0.005902895238250494,
0.021030407398939133,
0.04816301912069321,
-0.014044342562556267,
-0.024... | 0.807582 | 0.826323 | -0.01874 |
Ursula went to the store and bought butter, bread, a package of cheese, and tea. The bread was 2 times cheaper than the butter, while the price of the butter was 80% of the price of cheese. Tea was the most expensive and cost twice the price of a package of cheese. If the tea cost $10, how much did Ursula pay for her p... | tiger_lab_math | [
0.034546561539173126,
0.0236908458173275,
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0.040901701897382736,
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0.06626579165458679,
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0.015210575424134731,
0.00970788486301899,
-0.06164424866437912,
-0.02... | 0.805553 | 0.806405 | -0.000852 |
Sure, here's a precise numerical problem for the student to solve:
Find the derivative of the function f(x) = 3x^2 - 8x + 2 at x = 4. | tiger_lab_math | [
0.03038611263036728,
0.01234029233455658,
-0.035406045615673065,
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0.04217188432812691,
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-0.021290719509124756,
0.044487111270427704,
0.050516318529844284,
-0.00289263017475605,
0.020512724295258522,
0.03394460305571556,
-0.028353385627269745,
-0.02... | 0.8334 | 0.838386 | -0.004986 |
If a book is sold at 8% profit instead of 8% loss, it would have brought Rs 12 more. Find out the cost price of the book
Answer Choices: (A) Rs 75 (B) Rs 72 (C) Rs 60 (D) Rs 70 (E) Rs 80 | tiger_lab_math | [
0.02345857582986355,
0.015587713569402695,
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0.028338322415947914,
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0.05433909222483635,
0.0420398972928524,
-0.012672105804085732,
-0.005039299838244915,
0.01121806912124157,
-0.053290512412786484,
-0.034... | 0.793336 | 0.817404 | -0.024068 |
A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of (10^4 -10^2)(0.0018)?
Answer Choices: (A) 16.82 (B) 19.82 (C) 17.82 (D) 20 (E) 22 | tiger_lab_math | [
0.0254982803016901,
0.021268483251333237,
-0.028499994426965714,
-0.030056588351726532,
0.05239146202802658,
-0.035868577659130096,
-0.018363259732723236,
0.0796082466840744,
0.03693312034010887,
-0.028550196439027786,
0.023783812299370766,
0.02980327047407627,
-0.034659530967473984,
-0.01... | 0.814306 | 0.841288 | -0.026982 |
What is the degree of the Fano variety defined by the hypersurface equation $x_0^{d}+x_1^{d}+x_2^{d}+x_3^{d}=0$ in $\mathbb{P}^3$ for $d=5$? | tiger_lab_math | [
0.01073473785072565,
0.02494540996849537,
-0.05154040455818176,
-0.045960649847984314,
0.027438465505838394,
-0.01108480617403984,
-0.01699376478791237,
0.058900151401758194,
0.025593997910618782,
-0.028638336807489395,
0.004837769083678722,
0.023491140455007553,
-0.04310883581638336,
-0.0... | 0.830637 | 0.828367 | 0.00227 |
The difference of a larger number and a smaller number is 6. The sum of the larger number and twice the smaller is 15. What is the larger number?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11 | tiger_lab_math | [
0.028445811942219734,
0.011919266544282436,
-0.016163257881999016,
-0.046764034777879715,
0.06048800051212311,
-0.019128352403640747,
-0.02423156052827835,
0.05699727311730385,
0.04216984659433365,
-0.022005483508110046,
0.03474486991763115,
0.05273215472698212,
-0.05453755334019661,
-0.02... | 0.815488 | 0.840687 | -0.0252 |
3034 - (1002 / 200.4) = ?
Answer Choices: (A) 2984 (B) 3029 (C) 2982 (D) 2981 (E) None of these Let's write a program. | tiger_lab_math | [
0.011911539360880852,
0.009167101234197617,
-0.02383054979145527,
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0.05179671198129654,
-0.05126778408885002,
-0.03637167811393738,
0.047373849898576736,
0.058346886187791824,
-0.020730579271912575,
0.02602095901966095,
0.04017999768257141,
-0.005746549926698208,
-0.0... | 0.80125 | 0.838383 | -0.037133 |
Zach rented a car for $150 plus 50 cents for each mile. He drove 620 miles on Monday and another 744 miles on Thursday. How much did he spend? | tiger_lab_math | [
0.01234422530978918,
0.0042574964463710785,
-0.020886486396193504,
-0.03436871990561485,
0.01847425475716591,
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0.02567189373075962,
0.03257652372121811,
-0.04368317127227783,
0.026673009619116783,
0.028789427131414413,
-0.02196034975349903,
-0.0... | 0.777099 | 0.804337 | -0.027239 |
In a certain warehouse, there are $1335$ boxes, each containing $39$ books.
Melvin's boss orders him to unpack all the books and repack them so that there are $40$ books in each box. After packing as many such boxes as possible, Melvin has how many books left over? Let's program in Python in the response. | tiger_lab_math | [
0.015587021596729755,
0.021045073866844177,
-0.026818599551916122,
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0.025992894545197487,
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0.04450707510113716,
0.040249116718769073,
-0.008848647587001324,
0.013624805025756359,
0.030309075489640236,
-0.040448836982250214,
-... | 0.822036 | 0.826852 | -0.004816 |
An express traveled at an average speed of 200 km/hr, stopping for 3 min after every 125 kn. How long did it take to reach its destination 800 km from the starting point?
Answer Choices: (A) 5 hrs 21 min (B) 4 hrs 18 min (C) 6 hrs 41 min (D) 6 hrs 21 min (E) 4 hrs 34 min | tiger_lab_math | [
0.029586022719740868,
0.0072145164012908936,
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0.014868462458252907,
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0.048669472336769104,
0.06158900633454323,
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0.021906878799200058,
0.02464216575026512,
-0.0058042253367602825,
-... | 0.786833 | 0.819656 | -0.032823 |
The variables m and n are positive integers. When m is divided by 18, there is a remainder of 12, and when n is divided by 24, there is a remainder of 14. Which of the following are possible values of m + n?
I. 26
II. 70
III. 90
Answer Choices: (A) I only (B) III only (C) I and II (D) I and III (E) II and III | tiger_lab_math | [
0.03771054372191429,
0.015139291062951088,
-0.029372815042734146,
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0.051661185920238495,
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0.0642855316400528,
0.03855706751346588,
-0.011465824209153652,
0.016464266926050186,
0.03703969717025757,
-0.04949444532394409,
-0.03... | 0.824458 | 0.839449 | -0.014991 |
What is the Hausdorff dimension of the Koch snowflake curve generated by repeating the following process: Take an equilateral triangle and replace the middle third of each edge with two line segments of equal length to form a shape similar to a star, then repeat the same process on each line segment infinitely many tim... | tiger_lab_math | [
0.003179352730512619,
0.02107301913201809,
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0.030804269015789032,
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0.06215972080826759,
0.021990180015563965,
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0.022694867104291916,
0.03459940105676651,
-0.0145497377961874,
-0.01724... | 0.820692 | 0.826362 | -0.00567 |
A group of 4 fruit baskets contains 9 apples, 15 oranges, and 14 bananas in the first three baskets and 2 less of each fruit in the fourth basket. How many fruits are there? | tiger_lab_math | [
0.013592100702226162,
0.010173974558711052,
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0.03703179955482483,
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0.04051657393574715,
0.030176550149917603,
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0.010954941622912884,
0.013880920596420765,
-0.03828863054513931,
-0.... | 0.806497 | 0.825529 | -0.019032 |
Janet likes collecting action figures in her spare time. She currently owns 10 action figures and sells 6 of them to get 4 that are in better condition. Her brother then gives her his collection which is twice the size of what Janet has at the time. How many action figures does she now have in total? | tiger_lab_math | [
0.019635038450360298,
0.018284117802977562,
-0.03919448330998421,
-0.024216707795858383,
0.02229512482881546,
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0.04113147407770157,
0.03982255607843399,
-0.030888989567756653,
0.012972746975719929,
0.025892242789268494,
-0.06918850541114807,
-0.... | 0.780262 | 0.795216 | -0.014954 |
Josie and her family went on a safari and had an exciting time watching different animals grazing and playing together. She decided to count each animal she saw and calculated their total number. She counted 80 antelopes, 34 more rabbits than antelopes, 42 fewer hyenas than the total number of antelopes and rabbits com... | tiger_lab_math | [
0.0039127301424741745,
0.007420787122100592,
-0.057673174887895584,
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0.00971372053027153,
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0.042879752814769745,
0.04034498706459999,
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0.012741746380925179,
0.016938766464591026,
-0.05458381772041321,
-0... | 0.782223 | 0.792394 | -0.010171 |
Statement 1| The product of two even integers is always an even integer. Statement 2 | The sum of two odd integers is always an odd integer. Answer Choices: (A) True, True (B) False, False (C) True, False (D) False, True | tiger_lab_math | [
0.025647412985563278,
0.02581123448908329,
-0.017213191837072372,
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0.050271954387426376,
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0.08313508331775665,
0.049410078674554825,
-0.03122376650571823,
0.0013493846636265516,
0.024650244042277336,
-0.0228916984051466,
-0.0... | 0.813966 | 0.813596 | 0.00037 |
A bird eats 7 berries a day. Samuel has 5 birds. How many berries do Samuel's birds eat in 4 days? Let's write a Python program. | tiger_lab_math | [
0.016719769686460495,
0.024751758202910423,
-0.04485819488763809,
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0.014500908553600311,
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0.0511753186583519,
0.035597626119852066,
-0.03630642592906952,
0.00126867915969342,
0.04496913030743599,
-0.038060903549194336,
-0.01... | 0.800421 | 0.819167 | -0.018746 |
A company has 3 directors and 4 managers. How many different committees with 5 people can be chosen having at least 1 director?
Answer Choices: (A) 500 (B) 720 (C) 4500 (D) 25 (E) 21 | tiger_lab_math | [
0.0071544223465025425,
-0.002660427475348115,
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0.03451891988515854,
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0.04153783991932869,
0.02850268967449665,
-0.00529036670923233,
0.006878126412630081,
0.03887986019253731,
-0.0395914763212204,
-0.0181... | 0.794447 | 0.814765 | -0.020318 |
An optimization problem can be:
"Consider the function f(x) = 6x - x^2. Using differential evolution algorithm, find the maximum value of f(x) in the range [0, 6]." | tiger_lab_math | [
0.026708271354436874,
0.011354267597198486,
-0.042447756975889206,
-0.030071038752794266,
0.02617601864039898,
-0.026732737198472023,
-0.04733708128333092,
0.07047923654317856,
0.03430425375699997,
-0.00962864514440298,
0.010434478521347046,
0.015192767605185509,
-0.03729184344410896,
-0.0... | 0.808703 | 0.807055 | 0.001648 |
Find the maximum and minimum values of the function f(x) = 3x^2 - 12x + 5 on the interval [0, 4]. | tiger_lab_math | [
0.05103005841374397,
0.01692536100745201,
-0.038819268345832825,
-0.037951383739709854,
0.0531013049185276,
-0.030664552003145218,
-0.025866981595754623,
0.06928173452615738,
0.03775465115904808,
0.008657856844365597,
0.039037927985191345,
0.037042129784822464,
-0.009735718369483948,
-0.02... | 0.807546 | 0.820537 | -0.012991 |
James is trying to avoid eating too much sodium. He's making a recipe that calls for 2 teaspoons of salt and 8 oz of parmesan cheese. Salt has 50 mg of sodium per teaspoon and parmesan has 25 mg of sodium per oz. If he can't reduce the salt, how many fewer ounces of parmesan cheese does he need to use to reduce the tot... | tiger_lab_math | [
0.03350643441081047,
0.029534824192523956,
-0.04007759690284729,
-0.03391479700803757,
0.03190043568611145,
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-0.023928113281726837,
0.08278687298297882,
0.010364026762545109,
-0.012085621245205402,
0.023341074585914612,
0.025910381227731705,
-0.05032598227262497,
-0.0... | 0.800335 | 0.815019 | -0.014683 |
What is the volume of a cone with a radius of 7 cm and a height of 10 cm? (Round your answer to the nearest hundredth.) | tiger_lab_math | [
0.03184644877910614,
0.0481535941362381,
-0.0329267717897892,
-0.0322335846722126,
0.022316258400678635,
-0.019020406529307365,
-0.024033399298787117,
0.031619127839803696,
0.044267021119594574,
-0.03952260687947273,
0.015735996887087822,
0.03926713019609451,
-0.029622409492731094,
-0.0284... | 0.801227 | 0.823603 | -0.022376 |
Sure, here's an example numerical problem for a math student to solve:
Suppose our objective is to minimize the following function:
f(x) = -x*sin(sqrt(|x|))
Using simulated annealing, find the global minimum of this function within the range [-10, 10], given a starting temperature of 100, a cooling rate of 0.95, and... | tiger_lab_math | [
0.02436722442507744,
0.005183796864002943,
-0.03739326447248459,
-0.03360939770936966,
0.03107595443725586,
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-0.039767924696207047,
0.04454878717660904,
0.03542467951774597,
-0.01040708553045988,
0.015133746899664402,
0.02613884024322033,
-0.026366811245679855,
-0.016... | 0.820194 | 0.817584 | 0.00261 |
If you buy a dozen of doughnuts, it costs $8; but if you buy 2 dozens, it costs $14. How much will you save from buying 3 sets of 2 dozens than buying 6 sets of 1 dozen? Let's write a Python program to solve it. | tiger_lab_math | [
0.010224883444607258,
0.025523655116558075,
-0.03957846760749817,
-0.023763617500662804,
0.030556118115782738,
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0.04569666460156441,
0.04131016880273819,
-0.026170741766691208,
0.016434263437986374,
0.02385694719851017,
-0.04325076937675476,
-0.026... | 0.826367 | 0.832234 | -0.005867 |
To test whether an integer, $n$, is prime, it is enough to be sure that none of the primes less than or equal to the square root of $n$ divide $n$. If you want to check that a number between 900 and 950 is prime with this rule, what is the largest prime divisor you need to test? Let's write a Python program to solve it... | tiger_lab_math | [
0.015786342322826385,
0.000019378114302526228,
-0.0344664640724659,
-0.02955736219882965,
0.021789880469441414,
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0.0034453747794032097,
0.04641641676425934,
0.021923448890447617,
-0.024427441880106926,
0.028566690161824226,
0.023377958685159683,
-0.04653245583176613,
-... | 0.814823 | 0.806171 | 0.008652 |
Pointing to a man in a photograph. Asha said. "His mother's only daughter is my mother." How is Asha related to that man ?
Answer Choices: (A) Sister (B) Nephew (C) Wife (D) Niece (E) FDD | tiger_lab_math | [
0.01238897256553173,
0.026426900178194046,
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0.0452718622982502,
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0.055999211966991425,
0.0675244927406311,
-0.003252508584409952,
0.0015630307607352734,
0.026544244959950447,
-0.02534002624452114,
-0... | 0.755539 | 0.786183 | -0.030643 |
I have a bag with $6$ marbles numbered from $1$ to $6.$ Mathew has a bag with $12$ marbles numbered from $1$ to $12.$ Mathew chooses one marble from his bag and I choose two from mine. In how many ways can we choose the marbles (where the order of my choices does matter) such that the sum of the numbers on my marbles e... | tiger_lab_math | [
0.025563828647136688,
0.022813886404037476,
-0.05155792087316513,
-0.027042001485824585,
0.03196151927113533,
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0.025908812880516052,
0.006534970831125975,
-0.019664965569972992,
0.024085666984319687,
0.03590112924575806,
-0.03535235673189163,
-0.0... | 0.847116 | 0.840058 | 0.007058 |
Between them, Mark and Sarah have 24 traffic tickets. Mark has twice as many parking tickets as Sarah, and they each have an equal number of speeding tickets. If Sarah has 6 speeding tickets, how many parking tickets does Mark have? | tiger_lab_math | [
0.018833978101611137,
0.004099448677152395,
-0.0366181842982769,
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0.031243855133652687,
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0.04091036319732666,
0.01955832913517952,
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0.007978902198374271,
0.022090286016464233,
-0.02984440326690674,
-0.0... | 0.798219 | 0.811386 | -0.013167 |
"statement 1": Victor has 15 cups if flour , 16 cups of sugar and 8 cups of milk, "statement 2" :Victor has more than 15 cups if flour , 16 cups of sugar and 8 cups of milk, "options: " Entailment or contradiction or neutral? Let's program in Python in the response. | tiger_lab_math | [
0.02926364354789257,
-0.000005570606390392641,
-0.01680678129196167,
-0.019687730818986893,
0.048117201775312424,
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-0.021216467022895813,
0.07789236307144165,
0.0358443409204483,
-0.02077999897301197,
0.01902691088616848,
0.03930675983428955,
-0.031628288328647614,
-0... | 0.806699 | 0.814114 | -0.007415 |
a train running at the speed of 6 km / hr crosses a pole in 2 seconds . find the length of the train ? Please write a program to solve it | tiger_lab_math | [
0.025922387838363647,
0.018970811739563942,
-0.039718225598335266,
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0.03763040527701378,
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0.047129083424806595,
0.04178553819656372,
-0.031087253242731094,
0.02837766334414482,
0.018086034804582596,
-0.01229806151241064,
-0.0... | 0.822515 | 0.83668 | -0.014166 |
Today John is 3 times older than Mark. If in 14 years, John will be one year younger than twice the age of Mark on that day, how old is John today?
Answer Choices: (A) 13 (B) 33 (C) 36 (D) 38 (E) 39 | tiger_lab_math | [
0.047401849180459976,
0.03538955748081207,
-0.01956244558095932,
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0.046274229884147644,
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0.04865534231066704,
0.02233031950891018,
-0.012193668633699417,
0.020669905468821526,
0.035214561969041824,
-0.04038166627287865,
-0.036... | 0.791273 | 0.826342 | -0.035069 |
An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 6 different packages, with an average (arithmetic mean) of 9 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shi... | tiger_lab_math | [
0.025578567758202553,
0.01921865902841091,
-0.037690844386816025,
-0.04070669040083885,
0.049840573221445084,
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0.039842791855335236,
0.02905762568116188,
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0.027631103992462158,
0.02525656670331955,
-0.04552467539906502,
-0.0... | 0.805664 | 0.829506 | -0.023842 |
there are 7 red shoes & 3 green shoes . if two of red shoes are drawn what is the probability of getting red shoes ? Let's write a Python program. | tiger_lab_math | [
0.010662541724741459,
0.020681999623775482,
-0.05448227748274803,
-0.02972320467233658,
0.02099573239684105,
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0.03645430505275726,
0.023150615394115448,
-0.026622731238603592,
0.019267285242676735,
0.049328431487083435,
-0.011891945265233517,
-0.0... | 0.806321 | 0.819454 | -0.013134 |
One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and receives Rs. 120 and a shirt.Then find the price of the shirt.
Answer Choices: (A) 126 (B) 217 (C) 127 (D) 120 (E) 182 | tiger_lab_math | [
-0.011940053664147854,
0.010023017413914204,
-0.03657234087586403,
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0.03119310364127159,
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0.04935983568429947,
0.047123536467552185,
-0.006183330435305834,
0.02981399931013584,
0.04630245268344879,
-0.057435035705566406,
0.00... | 0.795937 | 0.823399 | -0.027461 |
On the xy co-ordinate plane, point C is (4,-2) and point D is (-1,2.5). The point on line segment CD that is twice as far from C as from D is:
Answer Choices: (A) (1,-1) (B) (1,1) (C) (2,0.25) (D) (3,0.5) (E) (3,1) | tiger_lab_math | [
0.013147377409040928,
0.00401694281026721,
-0.055040400475263596,
-0.04219156503677368,
0.036664072424173355,
-0.030757511034607887,
-0.02074289508163929,
0.05749880522489548,
0.05132821574807167,
0.013052435591816902,
0.023307958617806435,
0.04881129413843155,
-0.021192634478211403,
-0.00... | 0.803598 | 0.816449 | -0.01285 |
When the price of an article was reduced by 35% its sale increased by 80%. What was the net effect on the sale?
Answer Choices: (A) 17% increase (B) 44% decrease (C) 60% increase (D) 66% increase (E) 66% decrease | tiger_lab_math | [
0.018585000187158585,
0.009164721705019474,
-0.025971753522753716,
-0.019075868651270866,
0.04697558656334877,
-0.037690188735723495,
-0.03185774013400078,
0.07044965028762817,
0.06296255439519882,
-0.0006730941822752357,
0.016891079023480415,
0.02194278873503208,
-0.06736494600772858,
-0.... | 0.782495 | 0.816097 | -0.033602 |
Consider a group of 10 individuals who share a resource in a common pool setting. The resource has a total capacity of 100 units. Each individual has the ability to take 10 units from the resource. They can choose to either conserve or utilize the resource for their own benefit. However, each unit utilized by an indivi... | tiger_lab_math | [
0.03461507707834244,
0.009336446411907673,
-0.05043554678559303,
-0.00964067317545414,
0.0019134943140670657,
-0.04287615418434143,
-0.02507065236568451,
0.06821262836456299,
0.03117586486041546,
-0.044361766427755356,
0.021947063505649567,
0.02299681305885315,
-0.06450318545103073,
-0.029... | 0.818669 | 0.805067 | 0.013602 |
Steven's teacher sends the class an assignment to collect 60 different fruit seeds. Apples average 6 seeds, pears average 2 seeds, and grapes average 3 seeds. Steven has set aside 4 apples, 3 pears, and 9 grapes to extract their seeds. How many more seeds does he need to fulfill his assignment? Let's write a Python pro... | tiger_lab_math | [
0.00013612015754915774,
0.017673451453447342,
-0.03626011312007904,
-0.039426155388355255,
0.03633053973317146,
-0.030558258295059204,
-0.03190232813358307,
0.048912905156612396,
0.01946769654750824,
-0.02971194125711918,
0.015239470638334751,
0.023510046303272247,
-0.04109777510166168,
0.... | 0.803345 | 0.806675 | -0.00333 |
A factory produces 3 types of products: A, B, and C. To produce each product, they use 2 raw materials: X and Y. The table below shows the amount of each raw material used to produce each product and the total available amount of raw material.
| Raw Material/Product | A | B | C | Available |
|----------------------|--... | tiger_lab_math | [
0.053762245923280716,
0.01957644149661064,
-0.059843871742486954,
-0.00529385544359684,
0.03554839640855789,
-0.03728705272078514,
-0.04751338064670563,
0.08850128948688507,
0.026334265246987343,
-0.019909506663680077,
0.004451582208275795,
0.0453890785574913,
-0.02486238069832325,
-0.0190... | 0.817384 | 0.801392 | 0.015992 |
Two electronic musical instruments were purchased for Rs. 8000. The first was sold at a profit of 40% and the second at a loss of 40%. If the sale price was the same in both the cases, what was the cost price of the electronic musical instruments?
Answer Choices: (A) 1400,5600 (B) 3400,5600 (C) 2400,5600 (D) 2400,4600 ... | tiger_lab_math | [
0.010395035147666931,
0.02487616427242756,
-0.04051811248064041,
-0.0048688678070902824,
0.023241721093654633,
-0.02499961666762829,
-0.02445387654006481,
0.055519845336675644,
0.041853226721286774,
-0.00955253280699253,
0.03516893833875656,
0.01455742958933115,
-0.033328574150800705,
-0.0... | 0.789619 | 0.812057 | -0.022438 |
What is the sixth perfect number? | tiger_lab_math | [
0.036997318267822266,
0.03338591381907463,
-0.02471775747835636,
-0.03153775632381439,
0.05005117133259773,
-0.020237429067492485,
-0.018148962408304214,
0.007742918562144041,
0.039211876690387726,
-0.053338728845119476,
0.020735889673233032,
0.029527511447668076,
-0.013226266950368881,
-0... | 0.785837 | 0.8199 | -0.034062 |
Jenny's local library received 50 visitors on Monday. On Tuesday, the library received twice that number. On the remaining days of the week, an average of 20 visitors went to the library. What's the total number of visitors who went to the library that week? | tiger_lab_math | [
-0.004800830502063036,
0.030344398692250252,
-0.05559089779853821,
-0.037113238126039505,
0.04035038873553276,
-0.050144538283348083,
-0.04774247482419014,
0.029444320127367973,
0.03517162427306175,
-0.02038826234638691,
0.021868130192160606,
0.0011356767499819398,
-0.05337528511881828,
-0... | 0.782158 | 0.796788 | -0.01463 |
Convert $135_7$ to a base 10 integer. | tiger_lab_math | [
0.03381769359111786,
0.027806218713521957,
0.00017969163309317082,
-0.050762008875608444,
0.03197566047310829,
-0.022088805213570595,
-0.016766896471381187,
0.050479017198085785,
0.03537196293473244,
-0.00842160452157259,
0.023193325847387314,
0.03829186409711838,
-0.037627436220645905,
-0... | 0.789991 | 0.831112 | -0.041121 |
Two trains of equal lengths take 12 sec and 20 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Answer Choices: (A) 16 sec (B) 12 sec (C) 17 sec (D) 15 sec (E) 23 sec | tiger_lab_math | [
0.031004883348941803,
0.003955350257456303,
-0.03888419643044472,
-0.04399386793375015,
0.044885579496622086,
-0.04692985862493515,
-0.03876497969031334,
0.055438291281461716,
0.03795129805803299,
-0.03488364443182945,
0.026357760652899742,
0.03908226266503334,
-0.016593309119343758,
-0.02... | 0.802111 | 0.828605 | -0.026494 |
Today is Thursday. The day after 59 days will be?
Answer Choices: (A) Monday (B) Tuesday (C) Saturday (D) Sunday (E) None of these | tiger_lab_math | [
0.006760122254490852,
0.00603384617716074,
-0.013982490636408329,
-0.03442323952913284,
0.04554004967212677,
-0.031117286533117294,
-0.019629264250397682,
0.0462920181453228,
0.04972750321030617,
-0.051633305847644806,
0.03545602038502693,
0.02987781912088394,
-0.021688906475901604,
-0.024... | 0.778343 | 0.815511 | -0.037168 |
Rs.1210 were divided among 3 person P, Q, R so that P:Q=5:4 and Q: R=9:10. Then R gets the amount?
Answer Choices: (A) Rs.300 (B) Rs.400 (C) Rs.480 (D) Rs.500 (E) Rs.520 | tiger_lab_math | [
0.021760515868663788,
0.02308623678982258,
-0.03476981818675995,
-0.029273953288793564,
0.017796587198972702,
-0.041155584156513214,
-0.004983438644558191,
0.05086188763380051,
0.015933241695165634,
-0.020000005140900612,
0.033458590507507324,
0.029829703271389008,
-0.03364263474941254,
-0... | 0.805183 | 0.825306 | -0.020122 |
In Mr. Bolton's class of 25 students, 2/5 of the students like maths, 1/3 of the remaining students like science, and the rest of the students like history. Calculate the combined total number of students who like history and those who like maths. | tiger_lab_math | [
0.03318028897047043,
-0.005022699479013681,
-0.06045779585838318,
-0.04757361859083176,
0.04366545379161835,
-0.05914037674665451,
-0.03561553731560707,
0.030347302556037903,
0.016357801854610443,
-0.011150205507874489,
0.0037490001413971186,
0.01878082938492298,
-0.02748235873878002,
-0.0... | 0.803488 | 0.815865 | -0.012377 |
Milly's babysitter charges $16/hour. Milly is considering switching to a new babysitter who charges $12/hour, but also charges an extra $3 for each time the kids scream at her. If Milly usually hires the babysitter for 6 hours, and her kids usually scream twice per babysitting gig, how much less will the new babysitter... | tiger_lab_math | [
-0.0024243141524493694,
0.03149871528148651,
-0.033210400491952896,
-0.011290485970675945,
0.04462425410747528,
-0.03875843062996864,
-0.04372578486800194,
0.051798999309539795,
0.060483578592538834,
0.013595197349786758,
0.03896033763885498,
-0.0024804507847875357,
-0.0490439310669899,
-0... | 0.771322 | 0.789108 | -0.017786 |
Pima invested $400 in Ethereum. In the first week, it gained 25% in value. In the second week, it gained an additional 50% on top of the previous gain. How much is her investment worth now? | tiger_lab_math | [
0.004498771857470274,
0.02167467586696148,
-0.011905297636985779,
-0.016703084111213684,
0.008880778215825558,
-0.03768832981586456,
-0.02054431289434433,
0.08157103508710861,
0.04668343812227249,
-0.016640620306134224,
0.036370906978845596,
0.012211141176521778,
-0.03458229452371597,
-0.0... | 0.775225 | 0.788687 | -0.013462 |
The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constan... | tiger_lab_math | [
0.025273339822888374,
0.02632243186235428,
-0.031592585146427155,
-0.044855862855911255,
0.028655756264925003,
-0.015430043451488018,
-0.02932059019804001,
0.037506815046072006,
0.04605549946427345,
0.006462318357080221,
0.021568620577454567,
0.03724982589483261,
-0.03672877699136734,
-0.0... | 0.818092 | 0.826878 | -0.008786 |
Mary just held tryouts for the high school band. 80% of the 20 flutes got in, half the 30 clarinets got in, 1/3 of the 60 trumpets got in, and 1/10th of the 20 pianists got in. How many people are in the band total? | tiger_lab_math | [
0.021665936335921288,
0.012939564883708954,
-0.06567586213350296,
-0.026376109570264816,
0.04027329385280609,
-0.04760301113128662,
-0.02206556499004364,
0.02959258109331131,
0.026996681466698647,
-0.02467462606728077,
0.010526204481720924,
0.023901401087641716,
-0.026614652946591377,
-0.0... | 0.795614 | 0.807558 | -0.011944 |
Passage: The Dolphins traveled to take on the Colts. In the 1st quarter they got off to a fast start as Mike Wallace and Ryan Tannehill connected on an 18-yard TD pass for a 7-0 lead. The Colts got on the board as Adam Vinatieri nailed a 30-yard field goal for a 7-3 score. The Phins then increased their lead as Lam... | tiger_lab_math | [
0.011916975490748882,
0.031096307560801506,
-0.01177144329994917,
-0.053591739386320114,
0.036835815757513046,
0.0005215927376411855,
-0.026678884401917458,
0.03898473456501961,
0.02062203548848629,
-0.023114237934350967,
0.03050314635038376,
0.02757444605231285,
-0.034119971096515656,
0.0... | 0.760734 | 0.782693 | -0.021959 |
Here's an example problem:
A company has 7 different projects they want to undertake, but they only have the resources to complete 4 of them. The possible profits and resource requirements for each project are as follows:
| Project | Profit ($)| Resource Requirement (staff-weeks) |
| ------- | ------- | ------- |
| A... | tiger_lab_math | [
0.024167122319340706,
0.015057033859193325,
-0.03463389724493027,
-0.03586621209979057,
0.021677039563655853,
-0.02188872918486595,
-0.024785349145531654,
0.04603148624300957,
0.035398878157138824,
-0.01171843335032463,
0.019446130841970444,
0.03571337088942528,
-0.017991142347455025,
-0.0... | 0.821038 | 0.81468 | 0.006358 |
Solve the homogeneous system of linear equations:
2x - 4y + 6z = 0
8x - 16y + 24z = 0
-3x + 6y - 9z = 0 | tiger_lab_math | [
0.040159471333026886,
0.03625715523958206,
-0.03135460242629051,
-0.06727816164493561,
0.055376626551151276,
-0.036930788308382034,
-0.0014433872420340776,
0.049517981708049774,
0.04338078200817108,
-0.03416774049401283,
0.021611731499433517,
0.030359022319316864,
-0.0236501581966877,
-0.0... | 0.824796 | 0.841828 | -0.017033 |
Passage: Between 2009 and 2013, George Mason saw a 21% increase in the number of applications, has enrolled 4% more new degree-seeking students, and has seen the percentage of undergraduate and graduate applications accepted each decrease by 4%. Law applications accepted increased by 10%. Mason enrolled 33,917 students... | tiger_lab_math | [
0.015785250812768936,
0.020850203931331635,
-0.014409856870770454,
-0.04550175368785858,
0.03236400708556175,
-0.030919741839170456,
-0.03659838065505028,
0.02691671997308731,
0.02689056657254696,
0.018902452662587166,
0.05345228314399719,
-0.0063875168561935425,
-0.04052276164293289,
-0.0... | 0.728718 | 0.750493 | -0.021775 |
Consider the set N = {2, 3, 4, ..., 2n + 1}, where n is a positive integer larger than 10005. If O is the average of the odd integers in N and E is the average of the even integers in N then what is the value of O –E?
Answer Choices: (A) 2 (B) 1 (C) 8 (D) 9 (E) 0 | tiger_lab_math | [
0.03784194588661194,
0.005601127166301012,
-0.04575706273317337,
-0.03311958909034729,
0.03621707856655121,
-0.0360889695584774,
-0.03494274243712425,
0.052622631192207336,
0.04862868785858154,
-0.018167074769735336,
0.025550002232193947,
0.014996365644037724,
-0.05352494865655899,
-0.0269... | 0.827381 | 0.838554 | -0.011172 |
A European call option has a strike price of $120 and expires in 6 months. The current stock price is $150, the risk-free interest rate is 4%, and the annualized volatility of the stock is 20%. Use the Black-Scholes equation to determine the value of the call option. | tiger_lab_math | [
0.00022280037228483707,
0.00988200306892395,
-0.02723548747599125,
-0.0181850828230381,
0.03724413365125656,
-0.031704358756542206,
-0.0128267090767622,
0.059183865785598755,
0.05990749970078468,
-0.012575666420161724,
0.04045899957418442,
0.037969063967466354,
-0.034536637365818024,
-0.00... | 0.778079 | 0.788962 | -0.010883 |
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Answer Choices: (A) 620 (B) 640 (C) 690 (D) 710 (E) 720 | tiger_lab_math | [
0.03523784503340721,
0.035540539771318436,
-0.015022889710962772,
-0.019741427153348923,
0.04194243252277374,
-0.05793174356222153,
-0.0433533750474453,
0.03401486575603485,
0.045953087508678436,
-0.0016977473860606551,
0.014936120249330997,
0.022397633641958237,
-0.0261620432138443,
-0.02... | 0.803218 | 0.830082 | -0.026864 |
Lao is farming chickens. He can sell each chicken for $1.50. A bag of chicken feed weighs 20 pounds and costs $2. Each chicken will need 2 pounds of feed from the time it hatches to the time he sells it. If he makes $65 profit from selling chickens, how many did he sell? Let's write a program. | tiger_lab_math | [
0.017784371972084045,
0.02057453617453575,
-0.05605125427246094,
-0.01842508651316166,
0.02250273898243904,
-0.026791373267769814,
-0.03212929517030716,
0.05625922977924347,
0.00873462576419115,
-0.018803926184773445,
0.010480011813342571,
0.025653978809714317,
-0.05462957173585892,
-0.029... | 0.793187 | 0.805239 | -0.012052 |
Suppose that you have a region in the complex plane given by the unit disk $D=\{ z\in\mathbb{C} : |z|<1\}$, and a region $U$ that is biholomorphic to $D$ via a function $f: U\rightarrow D$ which satisfies $f(0) = 0$. If the function $f$ can be analytically continued to a neighborhood of the closure of $U$, what is the ... | tiger_lab_math | [
0.014143829233944416,
0.030669141560792923,
-0.05435291677713394,
-0.04721558839082718,
0.022151660174131393,
0.0066750384867191315,
-0.0016157136997208,
0.061266932636499405,
0.04605690762400627,
0.0005698458990082145,
0.023363569751381874,
0.038053613156080246,
-0.024127237498760223,
-0.... | 0.844985 | 0.824208 | 0.020777 |
300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store . 60 % of the customers in the survey had purchased clothes for less than $ 100 . 40 % of the customers in the survey reported they were overall satisfied with their purchase . 35 % of the customers t... | tiger_lab_math | [
0.008253640495240688,
0.002733639208599925,
-0.051204778254032135,
-0.0362020879983902,
0.047101281583309174,
-0.037153467535972595,
-0.03947938606142998,
0.04398342967033386,
0.039233893156051636,
0.008401579223573208,
0.031154505908489227,
0.022714056074619293,
-0.043513257056474686,
-0.... | 0.798107 | 0.809432 | -0.011326 |
Joseph has a refrigerator, a water heater in his house, and an electric oven that consumes power at different rates. The total amount of money that Joseph pays for the energy used by the refrigerator is three times the amount he pays for the power used by the water heater. If the electric oven uses power worth $500 in ... | tiger_lab_math | [
0.030138785019516945,
0.037432797253131866,
-0.04429381713271141,
-0.05353078991174698,
0.021275239065289497,
-0.04859720915555954,
-0.005120288114994764,
0.06132722645998001,
0.02802015282213688,
-0.015243339352309704,
0.025193871930241585,
0.023348627611994743,
-0.05319148302078247,
-0.0... | 0.788562 | 0.795914 | -0.007353 |
Suppose that in a particular company, the probability of an employee committing financial fraud is 0.04. If the company has 500 employees, how many employees can we expect to commit financial fraud? | tiger_lab_math | [
-0.012434428557753563,
0.01467546634376049,
-0.042480770498514175,
-0.03735925257205963,
0.04043566808104515,
0.0020536533556878567,
-0.02732471376657486,
0.04117836803197861,
0.027630222961306572,
-0.0024137527216225863,
0.004688616842031479,
0.016049688681960106,
-0.003880368312820792,
-... | 0.79828 | 0.810734 | -0.012453 |
How many 4-digit positive integers are there, where each digit is positive, and no 4 adjacent digits are same?
Answer Choices: (A) 1236 (B) 3024 (C) 4096 (D) 4608 (E) 6561 | tiger_lab_math | [
0.02059720829129219,
0.007347073405981064,
-0.013720105402171612,
-0.0177961066365242,
0.042178861796855927,
-0.0256764218211174,
-0.028566855937242508,
0.041788842529058456,
0.03876302018761635,
-0.0255116056650877,
0.031021028757095337,
0.035649750381708145,
-0.014487373642623425,
-0.039... | 0.81506 | 0.83857 | -0.02351 |
What is the molecular weight of 4 moles of Butane Let's write a Python program to solve it. | tiger_lab_math | [
0.01987639255821705,
0.025418657809495926,
-0.017748400568962097,
-0.04730469360947609,
0.044698819518089294,
-0.061317697167396545,
-0.019388392567634583,
0.03605203703045845,
0.07316208630800247,
-0.014200142584741116,
0.01966971717774868,
0.03529832512140274,
-0.02405705489218235,
-0.01... | 0.790477 | 0.814579 | -0.024102 |
On Monday, Matt worked for 450 minutes in his office. On Tuesday, he worked half the number of minutes he worked on Monday. On Wednesday, he worked for 300 minutes. How many more minutes did he work on Wednesday than on Tuesday. Let's write a program. | tiger_lab_math | [
0.018206506967544556,
0.0063545280136168,
-0.06019147112965584,
-0.029135704040527344,
0.037157051265239716,
-0.019108736887574196,
-0.04210330545902252,
0.06259626150131226,
0.046807121485471725,
-0.011582685634493828,
0.013305343687534332,
0.023719729855656624,
-0.0248032845556736,
-0.02... | 0.803875 | 0.823368 | -0.019494 |
What is the smallest integer $n$, greater than $1$, such that $n^{-1}\pmod{1050}$ is defined? | tiger_lab_math | [
0.01516976859420538,
0.03382032737135887,
-0.036300335079431534,
-0.040981315076351166,
0.026360897347331047,
-0.030232448130846024,
-0.007537838537245989,
0.05916428193449974,
0.031152796000242233,
-0.020072070881724358,
0.027575382962822914,
0.02594020590186119,
-0.042322855442762375,
-0... | 0.828636 | 0.841542 | -0.012906 |
What is the Lyapunov exponent of the Rikitake system with parameters a = 2, b = 4, c = 8, d = 12? | tiger_lab_math | [
0.019115472212433815,
0.020491525530815125,
-0.04478840529918671,
-0.04216309264302254,
0.04016401618719101,
-0.01916549727320671,
-0.018728353083133698,
0.051343414932489395,
0.034011803567409515,
-0.018359661102294922,
-0.01139775663614273,
0.04995312541723251,
-0.045732010155916214,
-0.... | 0.81324 | 0.838399 | -0.025159 |
Consider a graph with 8 vertices and 12 edges. Determine the genus of the graph. | tiger_lab_math | [
0.014713587239384651,
0.011644463054835796,
-0.03337210416793823,
-0.035436976701021194,
0.02601877972483635,
-0.04567308723926544,
-0.03443390130996704,
0.04504379630088806,
0.031843166798353195,
-0.04116014763712883,
0.016109652817249298,
0.03661341965198517,
-0.020056195557117462,
-0.02... | 0.810986 | 0.817037 | -0.00605 |
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.2.0 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Answer Choices: (A) s.1014 (B) s.1332 (C) s.999 (D) s.1085 (E) s.1020 | tiger_lab_math | [
-0.001317388960160315,
0.05055626854300499,
-0.050791263580322266,
-0.029090793803334236,
0.032337628304958344,
-0.04237254709005356,
-0.05158167704939842,
0.06098542734980583,
0.04665500298142433,
-0.011845286935567856,
0.019153298810124397,
0.0278902817517519,
-0.02648358978331089,
-0.02... | 0.800706 | 0.819919 | -0.019213 |
Sure! Here's a numerical optimization problem using simulated annealing:
Suppose you run a small business that manufactures and sells two products, A and B. Each unit of product A requires 2 hours of labor and 3 units of raw material, and sells for $6. Each unit of product B requires 1 hour of labor and 2 units of raw... | tiger_lab_math | [
0.022289004176855087,
0.014576002024114132,
-0.03252902254462242,
-0.015575128607451916,
0.01816920004785061,
-0.03294507786631584,
-0.03342806547880173,
0.07169370353221893,
0.023518031463027,
-0.013940207660198212,
0.011470441706478596,
0.02753101848065853,
-0.025543110445141792,
-0.0192... | 0.811187 | 0.803033 | 0.008154 |
A tower stands 30 meters above the ground. If someone standing on the ground is looking at the top of the tower at an angle of elevation of 60 degrees, what is the value of the trigonometric ratios of this angle? | tiger_lab_math | [
0.02151763252913952,
0.01290987804532051,
-0.03988705947995186,
-0.0370781347155571,
0.02742447890341282,
-0.02227540872991085,
-0.001346678240224719,
0.046754419803619385,
0.033999040722846985,
-0.023821057751774788,
0.011525130830705166,
0.018077803775668144,
-0.055649593472480774,
-0.01... | 0.816599 | 0.827176 | -0.010577 |
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