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 |
|---|---|---|---|---|---|
Bill needs to soak his clothes for 4 minutes to get rid of each grass stain and 7 additional minutes to get rid of each marinara stain. If his clothes have 3 grass stains and 1 marinara stain, how long does he need to soak them? | tiger_lab_math | [
0.02986615151166916,
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0.03484705835580826,
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-0.05175955221056938,
0.040210094302892685,
0.04166698083281517,
0.006086805835366249,
0.02151746302843094,
0.04070208966732025,
-0.02417219802737236,
-0.029644... | 0.796145 | 0.810499 | -0.014354 |
zinc and copper are melted together in the ratio 9 : 11 . what is the weight of melted mixture , if 31.5 kg of zinc has been consumed in it ? Let's program in Python in the response. | tiger_lab_math | [
0.029371624812483788,
0.02797887846827507,
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0.03899356350302696,
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0.038665447384119034,
0.028790254145860672,
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0.04581114649772644,
0.04301251471042633,
-0.0170621145516634,
-0.015... | 0.772126 | 0.802416 | -0.03029 |
Consider the surface defined by the equation x^2 + y^2 + z^2 + 6z = 0. Calculate the Gaussian curvature of this surface at the point (0,0,0). | tiger_lab_math | [
-0.0009949069935828447,
0.03557484969496727,
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0.040981363505125046,
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0.05842911824584007,
0.019185738638043404,
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0.0176396444439888,
0.029252877458930016,
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-0.... | 0.823222 | 0.820004 | 0.003218 |
A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 15 hours, 50 percent worked... | tiger_lab_math | [
0.011112243868410587,
0.001848406158387661,
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0.022742262110114098,
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0.04295354709029198,
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0.04284648969769478,
0.015654979273676872,
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-0... | 0.803216 | 0.821852 | -0.018636 |
at a particular graduation party with 300 guests , 70 % of the guests brought gifts , and 40 % of the female guests brought gifts . if 15 males did not bring gifts to the party , how many females did bring gifts ? Let's write a Python program to solve it. | tiger_lab_math | [
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0.04096272215247154,
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-0.01... | 0.810929 | 0.821397 | -0.010467 |
"statement 1": How many possible ways can less than 6 girls ( Rebecca , Kate , Ashley ) go on a date with 3 boys ( Peter , Kyle , Sam ) ?, "statement 2" :How many possible ways can 3 girls ( Rebecca , Kate , Ashley ) go on a date with 3 boys ( Peter , Kyle , Sam ) ?, "options: " Entailment or contradiction or neutral?... | tiger_lab_math | [
0.03626175969839096,
0.003405011259019375,
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0.045984093099832535,
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0.05754036083817482,
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-0.0... | 0.816282 | 0.82394 | -0.007657 |
the total age of a and b is 18 years more than the total age of b and c . c is how many years younger than a ? Let's write a Python program to solve it. | tiger_lab_math | [
0.01605677790939808,
0.02595788799226284,
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0.03547489643096924,
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0.007023703772574663,
0.043771855533123016,
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0.003... | 0.798452 | 0.816456 | -0.018004 |
Paul eats a lot when he studies. He loves sandwiches and eats them at the same rate every three days. He eats 2 sandwiches the first day, then doubles that number of sandwiches for the second day. On the third day, he doubles the number of sandwiches he ate on the second day. How many sandwiches would Paul eat if he st... | tiger_lab_math | [
0.00897577591240406,
0.013549222610890865,
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0.01732185110449791,
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0.056829918175935745,
0.015386156737804413,
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0.020792851224541664,
0.024572554975748062,
-0.04483122378587723,
-0.02... | 0.816585 | 0.822052 | -0.005467 |
A factory has 150 employees and 5 out of every 100 employees get injured on the job each year. What is the probability that at least 7 employees will get injured this year? | tiger_lab_math | [
0.00871396902948618,
0.0026004421524703503,
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0.04355364292860031,
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0.044575322419404984,
0.03302012011408806,
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0.013076171278953552,
0.03432980924844742,
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-0.01... | 0.802721 | 0.817604 | -0.014883 |
Let $g(n)$ be the product of the proper positive integer divisors of $n$. (Recall that a proper divisor of $n$ is a divisor other than $n$.) For how many values of $n$ does $n$ not divide $g(n)$, given that $2 \le n \le 50$? | tiger_lab_math | [
0.028554879128932953,
0.01818448305130005,
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0.02919073961675167,
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0.04208448529243469,
0.025877490639686584,
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0.015052772127091885,
0.036411914974451065,
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-0.0... | 0.84792 | 0.837863 | 0.010058 |
A river 4m deep and 65 m wide is flowing at the rate of 6 kmph the amount of water that runs into the sea per minute is?
Answer Choices: (A) 25000 (B) 26000 (C) 27000 (D) 28000 (E) 29000 | tiger_lab_math | [
0.0256610456854105,
0.022890057414770126,
-0.017819244414567947,
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0.027371319010853767,
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0.06703780591487885,
0.03597806766629219,
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0.029424229636788368,
0.014149819500744343,
-0.004902005195617676,
-0.02... | 0.785941 | 0.820141 | -0.0342 |
Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio Q of the number of hours Ann spends driving to the meeting to the number of hours Bob spends drivin... | tiger_lab_math | [
0.01922040991485119,
0.01650872454047203,
-0.03421959653496742,
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0.009224427863955498,
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0.06463954597711563,
0.048804305493831635,
-0.00018978437583427876,
0.010122104547917843,
0.01848703622817993,
-0.018485177308321,
-0.01... | 0.81531 | 0.832977 | -0.017667 |
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1344 ? Let's write a Python program. | tiger_lab_math | [
-0.004463324788957834,
0.0319446325302124,
-0.039495646953582764,
-0.0227194931358099,
0.023544644936919212,
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0.06297910213470459,
0.02653982676565647,
0.00603184849023819,
0.0236328337341547,
0.031756117939949036,
-0.021485038101673126,
0.00962... | 0.8178 | 0.834491 | -0.016691 |
"statement 1": Latha has 10 candies , ramu has 20 candies, "statement 2" :Latha has 50 candies , ramu has 20 candies, "options: " Entailment or contradiction or neutral? Let's write a Python program. | tiger_lab_math | [
0.018197938799858093,
0.007142065092921257,
-0.02449539117515087,
-0.03822740539908409,
0.041783157736063004,
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0.0681268498301506,
0.032242923974990845,
-0.0339074544608593,
0.014447124674916267,
0.03485820069909096,
-0.04216668754816055,
-0.010... | 0.807058 | 0.818228 | -0.01117 |
The perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Answer Choices: (A) 38 cm2 (B) 55 cm2 (C) 65 cm2 (D) 45 cm2 (E) 35 cm2 | tiger_lab_math | [
0.02911476232111454,
0.0326528362929821,
-0.010203180834650993,
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0.04202422872185707,
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0.058382704854011536,
0.036799900233745575,
-0.005023479461669922,
0.02726868726313114,
0.03932070732116699,
-0.029878705739974976,
-0.0325... | 0.808285 | 0.826087 | -0.017802 |
A ball is thrown from a height of 5 meters with an initial velocity of 20 meters per second. If the acceleration due to gravity is -9.8 meters per second squared, how high does the ball go before it begins to descend? Answer Choices: (A) 15 meters (B) 20 meters (C) 25 meters (D) 30 meters, | tiger_lab_math | [
0.020221175625920296,
0.02978704869747162,
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0.06528183817863464,
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0.07886188477277756,
0.054297301918268204,
-0.02658349834382534,
0.009622817859053612,
0.02899269573390484,
-0.04930172860622406,
-0.0237... | 0.789174 | 0.818456 | -0.029281 |
a cistern is normally filled in 4 hrs , but takes 2 hrs longer to fill because of a leak on its bottom , if cistern is full , how much time citern would empty ? Let's write a program. | tiger_lab_math | [
0.018407287076115608,
0.014528336934745312,
-0.02378077805042267,
-0.008809816092252731,
0.04527189955115318,
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0.05711520463228226,
0.04143018648028374,
-0.0003931007522623986,
0.03324323520064354,
0.046037930995225906,
-0.037999477237463,
-0.01... | 0.80992 | 0.820908 | -0.010988 |
How many trees are there on 5 labeled vertices? | tiger_lab_math | [
0.0011869994923472404,
0.025026580318808556,
-0.05147029459476471,
-0.036979109048843384,
0.01984594017267227,
-0.03732793778181076,
-0.019572271034121513,
0.03256754204630852,
0.0341041125357151,
-0.017692381516098976,
0.0034221091773360968,
0.03451027721166611,
-0.011553354561328888,
-0.... | 0.783921 | 0.809596 | -0.025675 |
The building has 42 storage units that are a total of 5040 square feet. Twenty of the units are 8 by 4 feet each. If the remaining units are all the same size, what is the area, in square feet, for one of the remaining units? Let's write a Python program to solve it. | tiger_lab_math | [
0.02239377424120903,
0.03174591436982155,
-0.06646690517663956,
-0.053777508437633514,
0.037381213158369064,
-0.032270077615976334,
-0.036173202097415924,
0.040364064276218414,
0.0456831268966198,
-0.015922021120786667,
0.025052757933735847,
0.020343096926808357,
-0.05303690955042839,
-0.0... | 0.804423 | 0.814765 | -0.010342 |
Every room in a building has at least two windows and a maximum of 4 windows. There are 122 windows total. If 5 rooms have 4 windows and 8 rooms have 3 windows, how many rooms in the building have 2 windows? | tiger_lab_math | [
0.024835707619786263,
-0.0033701991196721792,
-0.05003385245800018,
-0.02109377644956112,
0.04271809011697769,
-0.029770663008093834,
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0.03490540385246277,
0.03102065622806549,
-0.008368048816919327,
0.011671435087919235,
0.05275220423936844,
-0.03248103708028793,
-0.0... | 0.803605 | 0.819273 | -0.015669 |
Consider the meromorphic function f(z) = (z^3 - 1) / (z^2 + 2z + 1). Find the order of the pole and the residue of f at z = -1. | tiger_lab_math | [
0.02634168602526188,
0.0216478630900383,
-0.03545711189508438,
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0.02993590757250786,
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0.06031189486384392,
0.029213298112154007,
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0.025615911930799484,
0.02904931642115116,
-0.04431828483939171,
-0.0220... | 0.828142 | 0.83313 | -0.004988 |
A cubic box with dimensions 5 cm x 5 cm x 5 cm needs to be created with the minimum amount of material possible. Using topological optimization, what would be the optimized shape and dimensions of the box and how much material would be required? Assume the material is a uniform density solid material. | tiger_lab_math | [
0.02061697468161583,
0.028607351705431938,
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-0.030297785997390747,
0.04008268192410469,
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-0.04976916313171387,
0.05019453540444374,
0.009789450094103813,
-0.01584431901574135,
0.0064355176873505116,
0.02129163034260273,
-0.012639645487070084,
-0.00... | 0.799502 | 0.798855 | 0.000647 |
Solve the following system of linear equations using Cholesky decomposition:
3x + 2y + z = 13
2x + 5y + 2z = 22
x + 2y + 4z = 16 | tiger_lab_math | [
0.028529100120067596,
0.032043326646089554,
-0.054017193615436554,
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0.06872793287038803,
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0.033109091222286224,
0.022435976192355156,
-0.010718587785959244,
0.03144370764493942,
0.02276904322206974,
-0.02419586293399334,
-0.... | 0.822716 | 0.837 | -0.014284 |
As a child, Bobby was able to jump rope 30 times per minute. Now that he is an adult, he can jump 1 jump per second. How many more jumps than when he was a child is Bobby able to jump now that he is an adult? Please write a program to solve it | tiger_lab_math | [
0.012088379822671413,
0.024464057758450508,
-0.02483534999191761,
-0.03639436140656471,
0.029456449672579765,
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0.06815750896930695,
0.043390676379203796,
-0.03700709342956543,
0.016239725053310394,
0.04337700828909874,
-0.04387262836098671,
-0.03... | 0.823559 | 0.835091 | -0.011531 |
What is the sum of the greatest common divisor of $50$ and $5005$ and the least common multiple of $50$ and $5005$? Let's program in Python in the response. | tiger_lab_math | [
-0.010657379403710365,
0.013659516349434853,
-0.04350884258747101,
-0.04941130429506302,
0.04746120795607567,
-0.015491942875087261,
-0.03157581388950348,
0.05163291469216347,
0.039026133716106415,
-0.033301446586847305,
0.01969710737466812,
0.025610368698835373,
-0.030812211334705353,
-0.... | 0.813883 | 0.826371 | -0.012488 |
If the President and Vice President must sit next to each other in a row with 7 other members of the Board, how many different seating arrangements are possible?
Answer Choices: (A) 120 (B) 240 (C) 300 (D) 360 (E) 80640 | tiger_lab_math | [
0.03499361872673035,
0.0022183358669281006,
-0.03410385921597481,
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0.017902426421642303,
-0.04204801470041275,
-0.024910375475883484,
0.039729196578264236,
0.045072343200445175,
-0.02377198450267315,
0.024816853925585747,
0.03432437777519226,
-0.03592521324753761,
-0.... | 0.804346 | 0.823506 | -0.01916 |
Let X be a plane curve defined by the equation f(x,y) = x^3 + y^3 - 3xy, and let Y be a line given by the equation y = 2x - 1. What is the intersection number of X and Y? | tiger_lab_math | [
0.023967698216438293,
0.003964470699429512,
-0.06083980202674866,
-0.04740934073925018,
0.01891479827463627,
-0.008322255685925484,
-0.02199462056159973,
0.05163843557238579,
0.046077657490968704,
-0.03333495557308197,
0.021561987698078156,
0.03888215124607086,
-0.038971908390522,
-0.02681... | 0.831856 | 0.834075 | -0.002218 |
if n is a positive integer , what is the remainder when ( 7 ^ ( 4 n + 2 ) ) ( 6 ^ n ) is divided by 10 ? Let's write a program. | tiger_lab_math | [
0.04933876544237137,
0.009446069598197937,
-0.021713420748710632,
-0.023646069690585136,
0.04430950805544853,
-0.05520894378423691,
-0.02530699409544468,
0.05209287256002426,
0.04932991787791252,
-0.028558947145938873,
0.02337227389216423,
0.03931448608636856,
-0.060704831033945084,
-0.024... | 0.824086 | 0.843308 | -0.019222 |
Bill milked his cow and got 16 gallons of milk. He turned 1/4 into sour cream, 1/4 into butter, and kept the rest as whole milk. It takes 4 gallons of milk to make one gallon of butter and 2 gallons of milk to make 1 gallon of sour cream. If Bill sells butter for $5/gallon, sour cream for $6/gallon, and whole milk for ... | tiger_lab_math | [
0.03714792802929878,
0.03111974522471428,
-0.03829415142536163,
-0.018797816708683968,
0.03112429566681385,
-0.03941807895898819,
-0.04712536185979843,
0.057522423565387726,
0.03881044685840607,
-0.016900459304451942,
0.017569649964571,
0.02593177929520607,
-0.054902516305446625,
-0.030123... | 0.808425 | 0.820313 | -0.011887 |
-24x29+36=?
Answer Choices: (A) 2436 (B) 2801 (C) -2801 (D) -660 (E) None of them | tiger_lab_math | [
0.03530127927660942,
0.017346464097499847,
-0.03713613748550415,
-0.03691378980875015,
0.03603806719183922,
-0.03103007934987545,
-0.012056858278810978,
0.03887121006846428,
0.03967035934329033,
-0.023176122456789017,
0.026294542476534843,
0.05175440013408661,
-0.03645061329007149,
-0.0466... | 0.813757 | 0.856387 | -0.04263 |
a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 25 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ? Please write a program to solve it | tiger_lab_math | [
0.02792137861251831,
0.02608092874288559,
-0.04859789460897446,
-0.022493138909339905,
0.011831291019916534,
-0.049943096935749054,
-0.04635109752416611,
0.050223007798194885,
0.029207656159996986,
-0.017316490411758423,
0.006967470515519381,
0.02539079077541828,
-0.02816336415708065,
-0.0... | 0.810038 | 0.826049 | -0.016011 |
In the diagram, $P$ is on $RS$ so that $QP$ bisects $\angle SQR$. Also, $PQ=PR$, $\angle RSQ=2y^\circ$, and $\angle RPQ=3y^\circ$. What is the measure, in degrees, of $\angle RPQ$? [asy]
// C14
import olympiad;
size(7cm);
real x = 50; real y = 20;
pair q = (1, 0);
pair r = (0, 0);
pair p = intersectionpoints((10 * ... | tiger_lab_math | [
0.013752378523349762,
0.015591657720506191,
-0.04041281342506409,
-0.04883722588419914,
0.018597431480884552,
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0.043053533881902695,
0.029968535527586937,
0.0007434198632836342,
0.016416562721133232,
0.023622162640094757,
-0.016891108825802803,
... | 0.823087 | 0.809195 | 0.013892 |
Suppose you have 6 items that you want to put into 4 distinct boxes, such that no box remains empty. In how many ways can you do this? | tiger_lab_math | [
0.038925036787986755,
0.014501051977276802,
-0.027635255828499794,
-0.01277835387736559,
0.03071860410273075,
-0.015266665257513523,
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0.03391005098819733,
0.034861426800489426,
-0.036263298243284225,
0.020707616582512856,
0.04229427129030228,
-0.021187834441661835,
-0.... | 0.821858 | 0.827155 | -0.005297 |
When Suzy the librarian sat at her desk on Wednesday morning, she had 98 books ready for checkout. The same day, 43 books were checked out. The following day, 23 books were returned, but 5 books were checked out. On Friday, 7 books were returned. How many books did Suzy have? | tiger_lab_math | [
0.021484263241291046,
0.0013805818744003773,
-0.047652509063482285,
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0.02968498505651951,
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0.03788138926029205,
0.04886320233345032,
-0.01852230913937092,
0.031102361157536507,
0.02182920277118683,
-0.03770994767546654,
-0.027... | 0.784578 | 0.80375 | -0.019173 |
Jordan noticed that there are 2 cars in his driveway that each have 4 wheels. There are 2 bikes and a trash can that each have 2 wheels. There is also a tricycle and a pair of old roller skates. How many wheels are there? | tiger_lab_math | [
0.018843570724129677,
0.018032893538475037,
-0.02226644568145275,
-0.006645875051617622,
0.039742328226566315,
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0.03851829096674919,
0.03264691308140755,
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0.012269966304302216,
0.059234682470560074,
-0.042180951684713364,
-... | 0.801645 | 0.811127 | -0.009482 |
A train running at the speed of 50 km/hr crosses a post in 4 seconds. What is the length of the train?
Answer Choices: (A) 90 (B) 120 (C) 60 (D) 95 (E) 75 | tiger_lab_math | [
0.02249884605407715,
-0.007728921249508858,
-0.022661974653601646,
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0.035461246967315674,
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-0.03050142154097557,
0.051687657833099365,
0.04903603345155716,
-0.04066865146160126,
0.013620330952107906,
0.015996284782886505,
-0.01862959936261177,
-0.0... | 0.800411 | 0.830849 | -0.030438 |
The median of the set $\{n, n + 5, n + 6, n + 9, n + 15\}$ is 9. What is the mean? Let's program in Python in the response. | tiger_lab_math | [
0.01610821671783924,
-0.0068817962892353535,
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0.03652478754520416,
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0.05252759903669357,
0.04089704528450966,
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0.04101799055933952,
0.0214860662817955,
-0.053185686469078064,
-0.013... | 0.810193 | 0.817651 | -0.007457 |
Every year, Mabel gets as many quarters as she is years old. She always puts these and nothing else in a piggy bank. When she turns 7, how much money is in the bank? Let's program in Python in the response. | tiger_lab_math | [
0.022354258224368095,
0.01203198917210102,
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0.027514463290572166,
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0.04717143252491951,
0.031182818114757538,
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0.013035894371569157,
0.026782086119055748,
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-0... | 0.804425 | 0.811408 | -0.006983 |
if x is an integer such that 1 < x < 9 , 2 < x < 15 , 7 > x > – 1 , 4 > x > 0 , and x + 1 < 5 , then x is ? Let's program in Python in the response. | tiger_lab_math | [
0.020984623581171036,
0.0060307178646326065,
-0.0346306711435318,
-0.03434455767273903,
0.052803460508584976,
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0.046741608530282974,
0.0438455194234848,
-0.014444733038544655,
0.030138416215777397,
0.04005516692996025,
-0.05362679064273834,
-0.02... | 0.814355 | 0.82449 | -0.010136 |
if ( 1 / 2 ) ^ 22 ( 1 / 81 ) ^ k = 1 / 18 ^ 22 , then k = ? Let's write a Python program. | tiger_lab_math | [
0.022724097594618797,
0.028265124186873436,
-0.027463505044579506,
-0.03958577290177345,
0.039308175444602966,
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0.05549733340740204,
0.03976735845208168,
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0.013536183163523674,
0.023020226508378983,
-0.035085905343294144,
-... | 0.83372 | 0.846037 | -0.012318 |
What is the lowest positive integer that is divisible by 1 through 3, inclusive?
Answer Choices: (A) 12 (B) 6 (C) 8 (D) 18 (E) 33 | tiger_lab_math | [
0.012957243248820305,
0.025420265272259712,
-0.009659633040428162,
-0.031109506264328957,
0.05591050162911415,
-0.0387466736137867,
-0.023902487009763718,
0.043744415044784546,
0.02602425590157509,
-0.006349826697260141,
0.02572367899119854,
0.04707295447587967,
-0.03225196152925491,
-0.04... | 0.812997 | 0.845173 | -0.032176 |
the h . c . f . of two numbers is 59 and the other two factors of their l . c . m . are 13 and 16 . the larger of the two numbers is : ? Please respond by writing a program in Python. | tiger_lab_math | [
0.014271652325987816,
0.024008743464946747,
-0.04068588837981224,
-0.04639517143368721,
0.06046510860323906,
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0.05568305775523186,
0.03084152191877365,
-0.029363488778471947,
0.04607740044593811,
0.03583826869726181,
-0.042048122733831406,
-0.023... | 0.814739 | 0.830161 | -0.015422 |
Alex is on a cross-country bike trip. After starting this morning, he manages an average speed over flat ground of about 20 miles per hour. Four and a half hours later, the road started to incline upwards enough that he could only manage 12 miles per hour. Two and a half hours later, though, the road declined downhill ... | tiger_lab_math | [
0.03257826343178749,
0.01258408185094595,
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0.026271294802427292,
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0.07551873475313187,
0.02341284044086933,
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0.013187331147491932,
0.031171012669801712,
-0.033319875597953796,
-0.0172... | 0.805068 | 0.810188 | -0.00512 |
a man walks at a rate of 10 mph . after every ten miles , he rests for 7 minutes . how much time does he take to walk 50 miles ? Let's write a program. | tiger_lab_math | [
0.03693755343556404,
0.011368636973202229,
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-0.024408536031842232,
0.02514876052737236,
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0.0612349808216095,
0.046807993203401566,
-0.04373534396290779,
0.020613286644220352,
0.03789021447300911,
-0.0368921235203743,
-0.019484... | 0.811674 | 0.82844 | -0.016766 |
Two employees M and N are paid a total of $583 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week?
Answer Choices: (A) $245 (B) $255 (C) $265 (D) $275 (E) $285 | tiger_lab_math | [
-0.00710839731618762,
0.008024940267205238,
-0.029265258461236954,
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0.03431404009461403,
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0.06541372835636139,
0.04751651734113693,
-0.004857930354773998,
0.028750622645020485,
0.04126938059926033,
-0.04038461297750473,
-0.... | 0.794234 | 0.823825 | -0.02959 |
Solve the complex number equation $z^2 + 3z + 10 = 0$. | tiger_lab_math | [
0.03404861316084862,
0.03443377837538719,
-0.01889258436858654,
-0.04070577397942543,
0.04131780192255974,
-0.017105815932154655,
0.010596110485494137,
0.05209687724709511,
0.04723651707172394,
-0.026157023385167122,
0.022372061386704445,
0.013737509027123451,
-0.03355195000767708,
-0.0223... | 0.818335 | 0.828129 | -0.009794 |
Two buses and a van were employed to transport a class of students on a field trip. 3/5 of the class boarded the first bus. 1/3 of the remaining students boarded the second bus, and the rest of the students boarded the van. When the second bus broke down, 1/2 of the students on the second bus boarded the first bus. Wha... | tiger_lab_math | [
0.026270754635334015,
0.005176273640245199,
-0.03981258347630501,
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0.032360464334487915,
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0.06137903779745102,
0.02766283042728901,
0.00359075958840549,
0.012530629523098469,
0.026965029537677765,
-0.023161757737398148,
-0.03... | 0.805379 | 0.827424 | -0.022044 |
Marts income is 50 percent more than Tims income and Tims income is 40 percent less than Juans income. What percentage of Juans income is Marts income
Answer Choices: (A) 124% (B) b) 120 % (C) c) 96 % (D) d) 90 % (E) e) 64 % | tiger_lab_math | [
0.01759631186723709,
0.008189518004655838,
-0.029708901420235634,
-0.01989501155912876,
0.04586571827530861,
-0.02756904438138008,
0.0007331837550736964,
0.09005748480558395,
0.045091625303030014,
0.009055035188794136,
0.03385002166032791,
0.029429107904434204,
-0.03605265915393829,
-0.029... | 0.783742 | 0.808376 | -0.024633 |
How many different positive integers can be represented as a difference of two distinct members of the set $\{1, 2, 3, \ldots, 14, 15, 16 \}?$ Please respond by writing a program in Python. | tiger_lab_math | [
0.02698458917438984,
0.018848462030291557,
-0.0411231555044651,
-0.028352394700050354,
0.04787864536046982,
-0.0320742167532444,
-0.03378266096115112,
0.03198651224374771,
0.0585700161755085,
-0.0281160157173872,
0.025528794154524803,
0.030195072293281555,
-0.03341362252831459,
-0.00689759... | 0.831361 | 0.836349 | -0.004988 |
Suppose we have the Ikeda map given by the formula:
xn+1 = 1 + a(xn cos(tn) - yn sin(tn))
yn+1 = b(xn sin(tn) + yn cos(tn))
where a = 0.6, b = 0.9, and tn = 0.4.
Starting with x0 = 0.5 and y0 = 0.5, calculate the values of x10 and y10 using the above formula. | tiger_lab_math | [
0.026370136067271233,
0.024724630638957024,
-0.03151595965027809,
-0.03398478403687477,
0.04969312995672226,
-0.03410034254193306,
-0.01496042124927044,
0.07064489275217056,
0.03677961975336075,
-0.018647514283657074,
0.011680361814796925,
0.03072771057486534,
-0.056148599833250046,
-0.007... | 0.816177 | 0.810607 | 0.00557 |
Tammy just got her hair cut. For every 14 haircuts, she gets a free additional haircut. She has gotten 5 free haircuts already. She is 5 haircuts away from another free one. How many haircuts has she gotten there? | tiger_lab_math | [
0.00995111558586359,
0.02931266836822033,
-0.03859894722700119,
-0.037719275802373886,
0.04979389160871506,
-0.021660244092345238,
-0.032776910811662674,
0.0663071945309639,
0.04226866737008095,
-0.008779564872384071,
0.020914454013109207,
0.0014418787322938442,
-0.02100343257188797,
-0.01... | 0.811461 | 0.819102 | -0.00764 |
Find the ordered pair $(m,n)$, where $m,n$ are positive integers satisfying the following equation:
$$14mn = 55 - 7m - 2n$$ | tiger_lab_math | [
0.02475370652973652,
0.025730252265930176,
-0.038481444120407104,
-0.0602339506149292,
0.05578276887536049,
-0.018036121502518654,
-0.01642688363790512,
0.03360594063997269,
0.04141904041171074,
-0.019987868145108223,
0.024556854739785194,
0.02056908793747425,
-0.031445104628801346,
-0.012... | 0.848873 | 0.854653 | -0.00578 |
divide $ 5000 among x , y in the ratio 2 : 8 . how many $ that x get ? Let's write a program. | tiger_lab_math | [
0.0171526987105608,
0.02372359298169613,
-0.05114223435521126,
-0.005638854578137398,
0.018651291728019714,
-0.007001367397606373,
-0.028870616108179092,
0.06439521908760071,
0.048790235072374344,
-0.01960868388414383,
0.02418122999370098,
0.04121553152799606,
-0.025966474786400795,
-0.034... | 0.817289 | 0.83296 | -0.01567 |
After complaints from the residents of Tatoosh about the number of cats on the island, the wildlife service carried out a relocation mission that saw the number of cats on the island drastically reduced. On the first relocation mission, 600 cats were relocated from the island to a neighboring island. On the second miss... | tiger_lab_math | [
0.011538471095263958,
0.03355182334780693,
-0.0454513318836689,
-0.03511276841163635,
0.03878023847937584,
-0.02142076939344406,
-0.046371933072805405,
0.05209959298372269,
0.05458535999059677,
-0.005606171675026417,
0.018482588231563568,
0.024723686277866364,
-0.03808359429240227,
-0.0091... | 0.755836 | 0.768369 | -0.012532 |
in the first 15 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 35 overs to reach the target of 275 runs ? Let's write a program. | tiger_lab_math | [
0.005679397843778133,
0.012534084729850292,
-0.04535306990146637,
-0.020763132721185684,
0.03457215428352356,
-0.038603153079748154,
-0.04309438169002533,
0.04103638231754303,
0.029576566070318222,
-0.03234049677848816,
0.007379893679171801,
0.025526566430926323,
-0.03340485319495201,
-0.0... | 0.790981 | 0.810508 | -0.019527 |
What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Answer Choices: (A) 4:8 (B) 1:4 (C) 6:2 (D) 3:1 (E) 1:3 | tiger_lab_math | [
0.02985975705087185,
0.021056707948446274,
-0.015349330380558968,
-0.0398513562977314,
0.03494027629494667,
-0.01585519313812256,
-0.017644209787249565,
0.07121758162975311,
0.030081868171691895,
-0.005771229974925518,
0.02214852347970009,
0.041369181126356125,
-0.03550701215863228,
-0.033... | 0.821916 | 0.841051 | -0.019134 |
A math student needs to find the value of theta in degrees for sin(theta) = 0.5 using inverse trigonometric functions. | tiger_lab_math | [
0.014850481413304806,
0.04388531297445297,
-0.04408137872815132,
-0.024781644344329834,
0.033486802130937576,
-0.02013048715889454,
-0.036138251423835754,
0.05224066600203514,
0.02370951510965824,
-0.007337740156799555,
0.016406117007136345,
0.008377616293728352,
-0.03466147184371948,
-0.0... | 0.809217 | 0.812966 | -0.003749 |
my grandson is about as many days as my son in weeks , and my grandson is as many months as i am in years . my grandson , my son and i together are 120 years . can you tell me my age in years ? Please respond by writing a program in Python. | tiger_lab_math | [
0.0301093440502882,
0.005363527685403824,
-0.03148132935166359,
-0.028961213305592537,
0.031829629093408585,
-0.05577922984957695,
-0.04121625795960426,
0.044570162892341614,
0.033189836889505386,
-0.007016627583652735,
0.03495640680193901,
0.05311362445354462,
-0.03816189616918564,
-0.015... | 0.77968 | 0.802298 | -0.022618 |
The sum of four consecutive even numbers is 84. What would be the largest number?
Answer Choices: (A) 33 (B) 88 (C) 24 (D) 123 (E) 12 | tiger_lab_math | [
0.03836674243211746,
0.00848505087196827,
-0.006436227820813656,
-0.04792024567723274,
0.045375756919384,
-0.019581956788897514,
-0.022600244730710983,
0.03899169713258743,
0.05105653405189514,
-0.017242735251784325,
0.021251514554023743,
0.04977632313966751,
-0.044496603310108185,
-0.0348... | 0.81394 | 0.839707 | -0.025767 |
Simplify: (4 – 5) – (13 – 18 + 2).
Answer Choices: (A) -1 (B) –2 (C) 1 (D) 2 (E) 0 | tiger_lab_math | [
0.038405124098062515,
0.032635558396577835,
-0.011559415608644485,
-0.04882136359810829,
0.06950810551643372,
-0.03318113088607788,
-0.02005103975534439,
0.05255291983485222,
0.0400683768093586,
-0.0005319361807778478,
0.0062019373290240765,
0.04013621434569359,
-0.024195704609155655,
-0.0... | 0.812142 | 0.856031 | -0.043889 |
After decreasing 24% in the price of an article costs Rs.1140. Find the actual cost of an article?
Answer Choices: (A) 1500 (B) 6789 (C) 1200 (D) 6151 (E) 1421 | tiger_lab_math | [
0.017697159200906754,
0.0276676993817091,
-0.02118164859712124,
-0.03532380610704422,
0.036369819194078445,
-0.05128428712487221,
-0.03533855453133583,
0.07286083698272705,
0.05249619111418724,
0.011955291964113712,
0.024657392874360085,
0.02074049785733223,
-0.036761365830898285,
-0.00034... | 0.790872 | 0.823319 | -0.032447 |
The snack machine at Richmond High School sells candy bars for $2 each and chips for $.50 each. How much money, in dollars, will 5 students need in total if each of them gets 1 candy bar and 2 bags of chips? Let's write a program. | tiger_lab_math | [
0.01159858237951994,
0.011013209819793701,
-0.039679523557424545,
-0.023714886978268623,
0.03203943744301796,
-0.030345993116497993,
-0.03500634431838989,
0.05155237019062042,
0.021447589620947838,
-0.030810333788394928,
0.030870407819747925,
0.01627497747540474,
-0.03999977558851242,
-0.0... | 0.796602 | 0.8033 | -0.006699 |
The set of all solutions of the system $$
\begin{cases}
x+y\leq 3 \\
2x+y\geq 2 \\
x\geq 0 \\
y\geq 0
\end{cases}
$$ is a quadrilateral region. Find the number of units in the length of the longest side. Express your answer in simplest radical form. | tiger_lab_math | [
0.016112927347421646,
-0.001693091937340796,
-0.054833121597766876,
-0.043490659445524216,
0.033014439046382904,
-0.002629753202199936,
-0.02882547676563263,
0.06871218234300613,
0.043967604637145996,
-0.014215999282896519,
0.017423244193196297,
0.053352922201156616,
-0.031549789011478424,
... | 0.842677 | 0.829826 | 0.012851 |
The average (arithmetic mean) of all scores on a certain algebra test was 90. If the average of the 8 male students’ grades was 83, and the average of the female students’ grades was 92, how many female students took the test?
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 21 (E) 28 | tiger_lab_math | [
0.025378422811627388,
-0.016911035403609276,
-0.05622081831097603,
-0.04624904692173004,
0.04697342962026596,
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-0.03238656371831894,
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0.011769220232963562,
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-0.... | 0.804666 | 0.819337 | -0.014671 |
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are orange, yellow, green, blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether... | tiger_lab_math | [
0.031914401799440384,
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Juvy has a garden that has 20 rows with 10 plants in each row. She plants parsley in the first 3 rows and rosemary in the last two rows. The rest of the rows will be planted with chives. How many chives will Juvy plant? | tiger_lab_math | [
0.018687868490815163,
0.009189189411699772,
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0.0020321460906416178,
0.03539678826928139,
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Bugs are thriving in a garden of 30 plants. The bugs are very hungry today and completely ate 20 plants. The next day, they were still full and only ate half of the remaining plants. After that, they ate only 1 of the plants that were left. How many plants remain? | tiger_lab_math | [
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How many distinct integer values of n satisfy the inequality||n-3| + 2| ≤ 12?
Answer Choices: (A) 15 (B) 16 (C) 12 (D) 18 (E) 19 | tiger_lab_math | [
0.03635197877883911,
0.012861773371696472,
-0.03000420145690441,
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0.047700200229883194,
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0.021357158198952675,
0.059936925768852234,
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Maths, Physics and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. Among all the books, 12 books are soft cover and... | tiger_lab_math | [
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Find the area under the curve of y = 3x^2 + 4x + 2 over the interval [1, 4]. | tiger_lab_math | [
0.01736379601061344,
0.0227738656103611,
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0.038445789366960526,
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a train running at the speed of 180 km / hr crosses a pole in 8 seconds . find the length of the train . Let's program in Python in the response. | tiger_lab_math | [
0.012283938936889172,
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points x , y , and z lie , in that order , on a straight railroad track . the distance from point x to point y is twice the distance from point y to point z . a train traveled from point x to point z without stopping . the train ' s average speed when traveling from point x to point y was 100 miles per hour and the tra... | tiger_lab_math | [
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-0.... | 0.805452 | 0.810093 | -0.004641 |
A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.
Answer Choices: (A) 333 (B) 4460 (C) 37687 (D) 26698 (E) 2911 | tiger_lab_math | [
0.01916995830833912,
0.018300579860806465,
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0.036429598927497864,
0.03786170110106468,
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-0.0... | 0.806901 | 0.840009 | -0.033108 |
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
Answer Choices: (A) 600 (B) 882 (C) 772 (D) 662 (E) 521 | tiger_lab_math | [
0.012825279496610165,
0.025396978482604027,
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0.0038242212031036615,
0.02900136448442936,
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sheela deposits rs . 5000 in bank savings account . if this is 20 % of her monthly income . what is her monthly income in ? Please write a program to solve it | tiger_lab_math | [
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0.013393525965511799,
0.03213502839207649,
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-0.01715... | 0.800549 | 0.81411 | -0.013562 |
the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 15 % profit ? Let's program in Python in the response. | tiger_lab_math | [
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0.027895664796233177,
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0... | 0.7784 | 0.797419 | -0.019019 |
Consider the following undirected graph with 8 vertices and 10 edges:
[Image of Graph]
1. Identify all the cut-vertices in the graph.
2. Identify all the bridges in the graph.
3. If we remove the edges corresponding to all the identified bridges, how many connected components will the graph have? | tiger_lab_math | [
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0.00841489713639021,
0.01510515809059143,
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-0.0187... | 0.820621 | 0.813032 | 0.00759 |
The perimeter of a semi circle is 144 cm then the radius is?
Answer Choices: (A) 87 (B) 28 cm (C) 26 (D) 27 (E) 25 Please respond by writing a program in Python. | tiger_lab_math | [
0.011934466660022736,
0.03131796419620514,
0.0037484904751181602,
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0.041865162551403046,
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0.030129646882414818,
0.04389490932226181,
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-0.0... | 0.805035 | 0.828314 | -0.023279 |
A city has 5 major roads and the probability of an accident occurring on each road is 0.2. What is the probability of at least one accident occurring on any of the 5 roads in a given day? | tiger_lab_math | [
0.0027170125395059586,
0.006727089174091816,
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0.0355837456882,
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0.0022227768786251545,
0.017870843410491943,
0.005854754243046045,
-0.02... | 0.818979 | 0.822518 | -0.00354 |
Half of Jerome's money was $43. He gave $8 to Meg and thrice as much to Bianca. How much does Jerome have left? Let's write a Python program to solve it. | tiger_lab_math | [
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0.02851412072777748,
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0.034395091235637665,
0.03861711546778679,
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-0.03... | 0.810931 | 0.82496 | -0.014029 |
he population of a city is 130,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Answer Choices: (A) 146069 (B) 146067 (C) 156068 (D) 146068 (E) 179718 | tiger_lab_math | [
0.030059199780225754,
0.03203226625919342,
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0.032621897757053375,
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0.065460704267025,
0.030285725370049477,
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0.03291456401348114,
0.029539702460169792,
-0.02945369854569435,
-0.02... | 0.789546 | 0.820057 | -0.030511 |
The age of Somu is one-third his father's. 8 years back he was one-fifth of his father's age. What is his persent age ?
Answer Choices: (A) 11 (B) 13 (C) 14 (D) 16 (E) 10 | tiger_lab_math | [
0.036735355854034424,
0.013551364652812481,
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0.04884036257863045,
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0.07306235283613205,
0.03593049943447113,
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0.025895219296216965,
0.03620947524905205,
-0.05379517376422882,
-0.... | 0.793031 | 0.832505 | -0.039474 |
James and John combine their friends lists. James has 75 friends. John has 3 times as many friends as James. They share 25 friends. How many people are on the combined list? | tiger_lab_math | [
0.040837857872247696,
0.0028744868468493223,
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0.030551811680197716,
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0.0249522402882576,
0.014811544679105282,
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0.00981966033577919,
0.0362660177052021,
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-0.0... | 0.795073 | 0.809526 | -0.014452 |
Suppose a machine produces products with six features, each of which can take on one of three possible values. Using an OA(27,8,3,2) design, what is the smallest number of products that the machine needs to produce in order to test all combinations of features at least twice? | tiger_lab_math | [
0.008441181853413582,
0.012928287498652935,
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0.031315095722675323,
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0.0776488408446312,
0.009363017976284027,
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0.005793210119009018,
0.032810110598802567,
-0.00660117669031024,
-0.0... | 0.825539 | 0.829443 | -0.003904 |
Given that there are 6 basketball players per team, how many ways can you select 2 basketball players from 3 teams if no more than one player can be selected from each team?
Answer Choices: (A) 15 (B) 30 (C) 60 (D) 108 (E) 90 | tiger_lab_math | [
0.0352633073925972,
-0.007301469333469868,
-0.02986159920692444,
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0.04954861104488373,
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0.03235473483800888,
0.02698647230863571,
-0.03441409766674042,
0.01973174884915352,
0.05946324020624161,
-0.02672906406223774,
-0.0291... | 0.808131 | 0.822627 | -0.014497 |
a student gets 55 % in one subject , 65 % in the other . to get an overall of 55 % how much should get in third subject . Let's write a Python program. | tiger_lab_math | [
0.012452621012926102,
0.004045202862471342,
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0.031998176127672195,
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0.04014001414179802,
0.024671263992786407,
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0.02894705720245838,
0.03427775949239731,
-0.04078806936740875,
-0.00... | 0.806277 | 0.824304 | -0.018027 |
the perimeter of a semi circle is 180 cm then the radius is ? Let's program in Python in the response. | tiger_lab_math | [
0.004088099580258131,
0.03709621727466583,
-0.02216825634241104,
-0.04052330553531647,
0.024148928001523018,
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0.04618912190198898,
0.049745842814445496,
-0.0278033334761858,
0.0194334015250206,
0.04777154698967934,
-0.029178334400057793,
-0.022235... | 0.800772 | 0.813214 | -0.012441 |
Francie saves up her allowance for several weeks. She receives an allowance of $5 a week for 8 weeks. Then her dad raises her allowance, and she receives $6 a week for 6 weeks. Francie uses half of the money to buy new clothes. With the remaining money, she buys a video game that costs $35. How much money does Francie ... | tiger_lab_math | [
0.02062990702688694,
0.013790451921522617,
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0.03235897794365883,
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0.06719514727592468,
0.036425646394491196,
-0.022611631080508232,
0.02650967799127102,
0.023854432627558708,
-0.048251427710056305,
-0... | 0.80349 | 0.818613 | -0.015123 |
Consider the following optimization problem:
Minimize the function f(x) = x*sin(x) on the interval [0, 10] using the firefly algorithm.
Using the firefly algorithm, determine the minimum value of f(x) and the value of x that achieves this minimum. Set the algorithm parameters as follows: number of fireflies = 20, ma... | tiger_lab_math | [
-0.01697869785130024,
0.02067924290895462,
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0.043202005326747894,
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0.07288304716348648,
0.04329738765954971,
-0.005370302591472864,
0.002925093285739422,
0.009696024470031261,
-0.033807288855314255,
-0... | 0.806866 | 0.80481 | 0.002056 |
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Answer Choices: (A) 100 (B) 110 (C) 120 (D) 130 (E) 150 | tiger_lab_math | [
0.019152456894516945,
-0.012725448235869408,
-0.025431450456380844,
-0.029627768322825432,
0.031176799908280373,
-0.056628402322530746,
-0.028584636747837067,
0.04649944230914116,
0.04074076563119888,
-0.036251768469810486,
0.018026676028966904,
0.02483862265944481,
-0.028839997947216034,
... | 0.803008 | 0.831128 | -0.028119 |
A clothing store prices jeans at 30% above the wholesale price of $50. They have a sale for 25% off all jeans. How much would a customer pay for 2 pairs of jeans during the sale?
Answer Choices: (A) $98.5 (B) $97.25 (C) $48.75 (D) $97.50 (E) $95 | tiger_lab_math | [
0.018562493845820427,
0.003210587427020073,
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0.027132688090205193,
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0.06552326679229736,
0.03926272690296173,
-0.010015742853283882,
0.02829439379274845,
0.037861984223127365,
-0.0669073760509491,
-0.0280... | 0.79527 | 0.819176 | -0.023906 |
Passage: The Swiss census of 1990 and 2000 asked for the "language of best command" as well as for the languages habitually used in the family, at work, and in school. Previous censuses had only asked for the "mother tongue". In 1990, Romansh was named as the "language of best command" by 39,632 people, with a decrease... | tiger_lab_math | [
0.01985604502260685,
0.05739979445934296,
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0.02815130725502968,
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0.034500837326049805,
0.05801630765199661,
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0.016528986394405365,
0.024020694196224213,
-0.026967016980051994,
-0.... | 0.742084 | 0.761798 | -0.019714 |
A person plans to start a business with x% of a list of 10,000 products in his inventory. Next year after a business loss, the person wants to reduce the list by (x − 4)%. In terms of x, how many products will be in the inventory?
Answer Choices: (A) x*x – 4x (B) (x) (104 – x) (C) (100) (104 – x) (D) (100) (96 ... | tiger_lab_math | [
0.03062530979514122,
0.011738486588001251,
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0.04977881535887718,
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0.06790397316217422,
0.05852251499891281,
0.004339638631790876,
0.004459216725081205,
0.048277996480464935,
-0.03299959748983383,
-0.045... | 0.812224 | 0.829313 | -0.017089 |
A, B, C subscribe Rs. 50000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs.35000 A receives:
Answer Choices: (A) Rs. 11900 (B) Rs. 8400 (C) Rs. 14700 (D) Rs. 13600 (E) Rs. 14600 | tiger_lab_math | [
0.015161680988967419,
0.030135292559862137,
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0.02651149034500122,
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-0.024710219353437424,
0.06062205880880356,
0.030765695497393608,
-0.009284257888793945,
0.019421923905611038,
0.019959140568971634,
-0.02627306617796421,
-0.... | 0.801444 | 0.813396 | -0.011952 |
A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Answer Choices: (A) 60 (B) 50 (C) 40 (D) 70 (E) 65 | tiger_lab_math | [
0.017230499535799026,
0.01544220745563507,
-0.016826529055833817,
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0.02772151120007038,
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-0.02552260458469391,
0.06375567615032196,
0.036022502928972244,
-0.03295745700597763,
0.009094900451600552,
0.023140763863921165,
-0.02368156984448433,
-0.02... | 0.79351 | 0.825599 | -0.032089 |
For how many integer values of $a$ does the equation $$x^2 + ax + 8a = 0$$ have integer solutions for $x$? | tiger_lab_math | [
0.023543288931250572,
0.015684302896261215,
-0.05232367292046547,
-0.038381654769182205,
0.023477960377931595,
-0.01915149763226509,
0.0024321589153259993,
0.06136590614914894,
0.04823483154177666,
-0.04444816708564758,
0.008714853785932064,
0.037518445402383804,
-0.03473392874002457,
-0.0... | 0.827924 | 0.833552 | -0.005629 |
A 240 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Answer Choices: (A) 230 m (B) 240 m (C) 260 m (D) 320 m (E) 330 m | tiger_lab_math | [
0.02639983780682087,
0.009354185312986374,
-0.03600660338997841,
-0.04790564998984337,
0.030885513871908188,
-0.04694734141230583,
-0.04271161928772926,
0.042665448039770126,
0.0437191016972065,
-0.03426805138587952,
0.014536317437887192,
0.021420586854219437,
-0.027637865394353867,
-0.003... | 0.796392 | 0.825644 | -0.029253 |
In Township K each property is taxed at 10 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $28,000, by how much will the property tax increase?
Answer Choices: (A) $800 (B) $1000 (C) $600 (D) $400 (E) $500 | tiger_lab_math | [
0.02318471111357212,
0.03605753555893898,
-0.01916692592203617,
0.005512532312422991,
0.05777555704116821,
-0.06990769505500793,
-0.002165040001273155,
0.06061675772070885,
0.04814356565475464,
-0.016241248697042465,
0.03722090646624565,
0.0336100198328495,
-0.05413631349802017,
-0.0138971... | 0.785815 | 0.804308 | -0.018493 |
A sinusoidal function has the equation f(x) = 4sin(4x - π/3). Find the phase shift of this function. | tiger_lab_math | [
0.01721855066716671,
0.028799112886190414,
-0.04567667096853256,
-0.029530538246035576,
0.03522017225623131,
-0.023644549772143364,
-0.02609320543706417,
0.08086550235748291,
0.0529177226126194,
0.006368274334818125,
0.040220919996500015,
0.015796834602952003,
-0.028319310396909714,
-0.025... | 0.813456 | 0.830117 | -0.016661 |
the population of a town increases 10 % and 20 % respectively in two consecutive years . after the growth the present population of the town is 1320 . then what is the population of the town 2 years ago ? Let's write a Python program. | tiger_lab_math | [
0.023540891706943512,
0.029457716271281242,
-0.05114055052399635,
-0.01986711658537388,
0.04232019931077957,
-0.0468265563249588,
-0.029800035059452057,
0.05196693539619446,
0.03604941815137863,
-0.00883728638291359,
0.01442893035709858,
0.03340432420372963,
-0.05233485624194145,
0.0012776... | 0.798357 | 0.811639 | -0.013281 |
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