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 |
|---|---|---|---|---|---|
An amount of money is to be divided between Priya, Mani and Rani in the ratio of 2:4:8. If the difference between the shares of Priya and Mani is Rs.200, what will be the difference between Mani and Rani's share?
Answer Choices: (A) 1266 (B) 3000 (C) 2866 (D) 2999 (E) 400 | tiger_lab_math | [
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-0.011959... | 0.804917 | 0.828744 | -0.023827 |
Consider a group G under operation * that is defined on the set of all integers. If for any two elements a, b in G, the operation * is defined as a * b = a + b - 2. Given that G is a group, which of the following is the identity element? Answer Choices: (A) 0 (B) 1 (C) 2 (D) -1 | tiger_lab_math | [
0.05916425213217735,
0.02265574410557747,
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-0.03279... | 0.81821 | 0.83223 | -0.01402 |
Passage: Nu Phoenicis is a yellow-white main sequence star of spectral type F9V and magnitude 4.96. Lying some 49 light years distant, it is around 1.2 times as massive as our sun, and likely to be surrounded by a disk of dust. It is the closest star in the constellation that is visible with the unaided eye. Gliese 915... | tiger_lab_math | [
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0.03286783769726753,
0.0415077731013298,
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-0.0240401... | 0.77739 | 0.800225 | -0.022835 |
In one hour,a boat goes 13 km along the stream and 9 km against the stream.The speed of the boat in still water (in km/hr) is :
Answer Choices: (A) 3 (B) 5 (C) 11 (D) 9 (E) 10 | tiger_lab_math | [
0.034708619117736816,
0.008014733903110027,
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0.018197808414697647,
0.021519679576158524,
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-0.0289... | 0.790304 | 0.823595 | -0.033291 |
Tony loved to solve difficult pen and paper puzzles. He did a warm-up puzzle that only took 10 minutes and after that he did 2 puzzles that each took 3 times as long. How long did he spend solving puzzles? Please write a program to solve it | tiger_lab_math | [
0.025078369304537773,
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0.03540839999914169,
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-0.... | 0.80489 | 0.810398 | -0.005508 |
Suppose f is a function that is twice differentiable for all real numbers. Which of the following statements must be true? I. If f''(x) > 0 for all x, then f is concave up for all x. II. If f'(x) = 0 for some x, then x is a critical point of f. III. If f has a local maximum at x = a, then f'(a) = 0. Answer Choices: (A... | tiger_lab_math | [
0.018438145518302917,
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... | 0.822926 | 0.819567 | 0.003359 |
Paulo wants to get a burger meal that costs $6. Aside from that, he also wants to get a soda which costs 1/3 as much as the burger meal. While on the counter, Jeremy asked Paulo to get him 2 of each item Paulo is going to get. How much will they be charged for their orders combined? | tiger_lab_math | [
0.004499314818531275,
0.023224931210279465,
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0.020074624568223953,
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0.023935439065098763,
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-0.... | 0.806412 | 0.811763 | -0.005351 |
Find all values of $x$ that satisfy
\[5x - 1 < (x + 1)^2 < 7x - 3.\] | tiger_lab_math | [
0.042940493673086166,
0.039488449692726135,
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0.03656281158328056,
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0.013859456405043602,
0.031007112935185432,
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-0.01... | 0.841409 | 0.842199 | -0.00079 |
Consider the surface given by the equation $z=x^2-2y^2$ at the point $(1,-1,1)$. Find the principal curvatures at this point. | tiger_lab_math | [
0.00296522188000381,
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-... | 0.834413 | 0.822633 | 0.01178 |
My cat's empty bowl weighs 420 grams. If I give my cat 60 grams per day and I always fill her bowl every 3 days, how much does her bowl weigh if after I ended up refilling her empty bowl she only ate 14 grams? | tiger_lab_math | [
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-0.02455... | 0.771695 | 0.805951 | -0.034255 |
Sanya can wash 7 bath towels in one wash, which will take 1 hour. She only has 2 hours in a day to do this task. If she has 98 bath towels, how many days will she need to wash all of them? | tiger_lab_math | [
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0.03110293112695217,
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-0.040... | 0.785475 | 0.796589 | -0.011113 |
Mary bought six apples from the store. From the apples she bought, for each that Mary ate, she planted two trees from the remaining ones. How many apples did Mary eat? | tiger_lab_math | [
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Maddy is in college for 8 semesters. She needs 120 credits to graduate. If each class is 3 credits, how many classes does she need to take per semester? Let's program in Python in the response. | tiger_lab_math | [
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... | 0.791501 | 0.806391 | -0.01489 |
a certain car can travel 32 kilometers on a liter of fuel . if the fuel tank ’ s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed , how fast is the car moving , in miles per hour ? ( 1 gallon = 3.8 liters ; 1 mile = 1.6 kilometers ) ? Let's program in Python in the respon... | tiger_lab_math | [
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-0.01... | 0.768191 | 0.790669 | -0.022479 |
A diver is planning to dive off a 5-meter diving platform. The height of the diver above the water after t seconds is given by the function h(t) = -5t^2 + 10t. What is the maximum height the diver reaches? At what time does the diver hit the water? | tiger_lab_math | [
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0.033137768507003784,
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the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 8000 , brokerage being 1 / 4 % , is : ? Please write a program to solve it | tiger_lab_math | [
0.025660440325737,
0.03647743910551071,
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0.033931247889995575,
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0.021696416661143303,
0.02042088285088539,
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-0.007... | 0.807824 | 0.822766 | -0.014942 |
If a person walks at 12 km/hr instead of 8 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Answer Choices: (A) 50 km (B) 58 km (C) 60 km (D) 40 km (E) 65 km | tiger_lab_math | [
0.028508510440587997,
0.025094997137784958,
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0.017194736748933792,
0.0192317645996809,
-0.028243020176887512,
-0.0365... | 0.791271 | 0.827542 | -0.036272 |
What is the average Lyapunov exponent of the Chirikov-Taylor map for a set of initial conditions ranging from 0 to 1 with a step size of 0.01? | tiger_lab_math | [
0.00317751313559711,
0.01668795943260193,
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0.027326159179210663,
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0.0021217798348516226,
0.016845079138875008,
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-0.... | 0.804516 | 0.822132 | -0.017616 |
solution for 4.75 + . 303 + . 432 ? Please respond by writing a program in Python. | tiger_lab_math | [
0.009793789125978947,
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0.016921639442443848,
0.037096571177244186,
-0.037020739167928696,
... | 0.81799 | 0.851297 | -0.033307 |
Simplify $(5^7+3^6)(1^5-(-1)^4)^{10}$. Let's write a Python program to solve it. | tiger_lab_math | [
0.021582966670393944,
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0.02464286983013153,
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-0.02483... | 0.825646 | 0.840428 | -0.014782 |
Compute without using a calculator: $9!/8!$ Let's write a Python program. | tiger_lab_math | [
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In a game of billiards, A can give B 40 points in 80 and he can give C 60 points in 80. How many points can B give C in a game of 100?
Answer Choices: (A) 50 (B) 55 (C) 60 (D) 65 (E) 70 | tiger_lab_math | [
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0.009321194142103195,
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0.007730291225016117,
0.05168250575661659,
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-0.... | 0.80852 | 0.83165 | -0.02313 |
John's pool is 5 feet deeper than 2 times Sarah’s pool. If John’s pool is 15 feet deep, how deep is Sarah’s pool? | tiger_lab_math | [
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-0.0... | 0.792715 | 0.809541 | -0.016827 |
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 4 days?
Answer Choices: (A) 2/5 (B) 1/6 (C) 1/4 (D) 1/9 (E) 2/9 | tiger_lab_math | [
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0.03369107097387314,
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-0.0... | 0.803325 | 0.829411 | -0.026085 |
A sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 20 extra yellow balls and making ratio of white balls to yellow balls 8/13. How many tennis balls did the retailer order originally.
Answer Choices: (A) 64 (B) 130 (C) 140 (D) 1... | tiger_lab_math | [
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0.053748954087495804,
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-0.0... | 0.804262 | 0.827924 | -0.023661 |
Consider the following stochastic differential equation:
dX = 0.5Xdt + 0.1XdW
where dW represents the Wiener process. Suppose initially X(0) = 1. Calculate the expected value and variance of X at time t = 2. | tiger_lab_math | [
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0.0015286527341231704,
0.032219842076301575,
0.04029380902647972,
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-0.0... | 0.804944 | 0.805883 | -0.000938 |
Peter has 15 birds. 1/3 are ducks. The rest are chickens and require special feed that costs $2 per bird. How much does it cost to feed the chickens? | tiger_lab_math | [
0.011004715226590633,
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-0.... | 0.788271 | 0.804593 | -0.016321 |
For a certain set of numbers, if x is in the set, then x - 3 is also in the set. If the number 4 is in the set , which of the following must also be in the set ?
a) 4
b) 1
c) -5
Answer Choices: (A) a only, (B) b only, (C) c only, (D) a and b only (E) b and c only | tiger_lab_math | [
0.03317805379629135,
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0.009879738092422485,
0.04136024788022041,
-0.039219338446855545,
-0.0... | 0.819933 | 0.831193 | -0.011259 |
In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
Answer Choices: (A) 2889 (B) 8000 (C) 2777 (D) 2999 (E) 2212 | tiger_lab_math | [
0.011010508053004742,
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0.011416157707571983,
0.013894092291593552,
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-0.00216... | 0.792026 | 0.822919 | -0.030892 |
find the sum of the number of combinations possible by using 12 , 34 such that no number is repeated ( ex : - 12234322 are invalid 12344321 are valid ) more than once . Please write a program to solve it | tiger_lab_math | [
0.028827643021941185,
0.022427484393119812,
-0.033472590148448944,
-0.014852747321128845,
0.03470156341791153,
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-0.004141831770539284,
0.052875421941280365,
0.01733851619064808,
-0.014356202445924282,
0.039642516523599625,
0.04091485217213631,
-0.02217627689242363,
-0.... | 0.827025 | 0.835359 | -0.008334 |
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 60%?
Answer Choices: (A) 282 (B) 229 (C) 277 (D) 380 (E) 2812 Plea... | tiger_lab_math | [
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0.021186664700508118,
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0.03420921787619591,
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0.07091966271400452,
0.03552919253706932,
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0.007023560348898172,
0.02861671708524227,
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-0.01... | 0.812224 | 0.828616 | -0.016392 |
the probability that a computer company will get a computer hardware contract is 4 / 5 and the probability that it will not get a software contract is 3 / 5 . if the probability of getting at least one contract is 5 / 6 , what is the probability that it will get both the contracts ? Please respond by writing a program ... | tiger_lab_math | [
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The sum of three consecutive even numbers is 42. Find the middle number of the three?
Answer Choices: (A) 14 (B) 16 (C) 18 (D) 24 (E) 34 | tiger_lab_math | [
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a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 35 % but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he ... | tiger_lab_math | [
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Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Answer Choices: (A) 140 (B) 130 (C) 120 (D) 150 (E) 145 | tiger_lab_math | [
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The average of 11 numbers is 10.6. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
Answer Choices: (A) 71.5 (B) 11.5 (C) 81.5 (D) 14.8 (E) 21.5 Let's write a Python program to solve it. | tiger_lab_math | [
0.04614023491740227,
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0.023241393268108368,
0.019157495349645615,
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A pair of dogs are barking back and forth at each other from across the street. The poodle barks twice for every one time the terrier barks. The terrier’s owner hushes it every second time it barks. She has to say “hush” six times before the dogs stopped barking. How many times did the poodle bark? | tiger_lab_math | [
0.01718975603580475,
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0.043602682650089264,
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... | 0.815127 | 0.818813 | -0.003685 |
A circular pizza has a radius of 8 inches. What is the area of the sector if the slice is 45 degrees? | tiger_lab_math | [
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0.033009275794029236,
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The deli has four kinds of bread, six kinds of meat, and five kinds of cheese. A sandwich consists of one type of bread, one type of meat, and one type of cheese. Ham, chicken, cheddar cheese, and white bread are each offered at the deli. If Al never orders a sandwich with a ham/cheddar cheese combination nor a sandwic... | tiger_lab_math | [
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"statement 1": Renu can do a piece of work in 6 days , but with the help of her friend Suma , she can do it in 3 days, "statement 2" :Renu can do a piece of work in more than 5 days , but with the help of her friend Suma , she can do it in 3 days, "options: " Entailment or contradiction or neutral? Let's write a progr... | tiger_lab_math | [
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Consider a cylindrical pipe of diameter 10 cm and length 1 m. Water at a temperature of 20°C flows through this pipe with a velocity of 1 m/s. Find the maximum pressure difference that can be sustained between the ends of the pipe without causing the water to vaporize, given that the viscosity of water is 1.002 × 10^-3... | tiger_lab_math | [
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Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has traveled 100 km more than the second. The distance between P and Q is?
Answer Choices: (A) 900 km (B) 300 km (C) 700 km (D) 800 km (E) 100 km | tiger_lab_math | [
0.029825987294316292,
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0.004518493078649044,
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Tomas is hoping to run a marathon next year, which is 26.3 miles. He knows that each month he trains, he can run twice as far as the month before. If he can run 3 miles during the first month of training, how many total months before the marathon should he start training to ensure he can run far enough? | tiger_lab_math | [
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Helga works for a newspaper company. She can write 5 articles every 30 minutes, and she usually works 4 hours a day 5 days a week. If Helga worked an extra 2 hours last Thursday, and an extra 3 hours last Friday, how many articles was she able to write this week? | tiger_lab_math | [
0.0031561609357595444,
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"statement 1": By how much must Rebecca ' s yearly income increase so that it constitutes 55 % of Rebecca and Jimmy ' s combined income ?, "statement 2" :By how much must Rebecca ' s yearly income increase so that it constitutes more than 15 % of Rebecca and Jimmy ' s combined income ?, "options: " Entailment or contr... | tiger_lab_math | [
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p is 20 % more efficient than q . p can complete a work in 22 days . if p and q work together , how many days will it take to complete the same work ? Let's program in Python in the response. | tiger_lab_math | [
0.01142452284693718,
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0.04184119775891304,
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Two drivers, Tom and Jerry, are driving on a narrow road towards each other. If one of them swerves, he will avoid the crash, but the swerver will be called a "chicken." If neither swerves, they will both crash. Tom and Jerry know each other well and have played this game many times before. They both have the same inte... | tiger_lab_math | [
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-... | 0.816366 | 0.808052 | 0.008314 |
Consider the complex function $f(z)=\frac{z^3+2z-1}{z^2+1}$.
Find the number of zeros of the function $f(z)$ in the complex plane inside the circle $|z|=3$. | tiger_lab_math | [
0.004420820157974958,
0.03783950209617615,
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0.03593933582305908,
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0.016529720276594162,
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-0.02... | 0.839802 | 0.827132 | 0.01267 |
One possible numerical problem that a math student could solve in the context of ant colony optimization for solving optimization problems is:
Consider a salesperson who needs to visit N cities in a particular order to minimize the total cost of the trip. Assuming that the travel cost between any two cities is proport... | tiger_lab_math | [
0.022758133709430695,
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It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
Answer Choices: (A) Tuesday (B) Saturday (C) Monday (D) Friday (E) Sunday | tiger_lab_math | [
0.00630816537886858,
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Mary is paying her monthly garbage bill for a month with exactly four weeks. The garbage company charges Mary $10 per trash bin and $5 per recycling bin every week, and Mary has 2 trash bins and 1 recycling bin. They're giving her an 18% discount on the whole bill before fines for being elderly, but also charging her a... | tiger_lab_math | [
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0.021561652421951294,
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-0.... | 0.79627 | 0.806631 | -0.010362 |
In a group of 40 students, 20 study math, 25 study science, and 15 study both math and science. How many students study at least one of the subjects? | tiger_lab_math | [
0.024721747264266014,
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An ellipse whose axes are parallel to the coordinate axes is tangent to the $x$-axis at $(4, 0)$ and tangent to the $y$-axis at $(0, 1).$ Find the distance between the foci of the ellipse. Please write a program to solve it | tiger_lab_math | [
0.011039229109883308,
0.04777687415480614,
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0.034110527485609055,
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0.03559688478708267,
0.040555935353040695,
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-0.... | 0.838046 | 0.830512 | 0.007535 |
If the average cost of a house was $50,000 in 1965 and was x in 2005, what was the average increase in home prices per year over this period?
Answer Choices: (A) (x+50,000) /40 (B) (x-50,000) /40 (C) (50,000/40) +x (D) (50,000-x) /40 (E) x/40 | tiger_lab_math | [
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0.020473452284932137,
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Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
... | tiger_lab_math | [
0.019659925252199173,
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0.03448827192187309,
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For any four digit number, abcd, *abcd*= (3^a)(5^b)(7^c)(11^d). What is the value of (n – m) if m and n are four digit numbers for which *m* = (3^r)(5^s)(7^t)(11^u) and *n* = (25)(*m*)?
Answer Choices: (A) 2000 (B) 200 (C) 25 (D) 20 (E) 2 | tiger_lab_math | [
0.04031771793961525,
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0.016734164208173752,
0.05005943402647972,
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-0.04... | 0.824266 | 0.84871 | -0.024444 |
"statement 1": Of a certain group of 100 people , 40 graduated from High School M , 65 graduated from College Y , and 30 live in City Z, "statement 2" :Of a certain group of less than 600 people , 40 graduated from High School M , 65 graduated from College Y , and 30 live in City Z, "options: " Entailment or contradic... | tiger_lab_math | [
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0.015755651518702507,
0.03796900063753128,
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-0... | 0.796088 | 0.809793 | -0.013705 |
A train 385 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
Answer Choices: (A) 5 sec (B) 21 sec (C) 7 sec (D) 10 sec (E) 52 | tiger_lab_math | [
0.025159671902656555,
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0.016492577269673347,
0.030858077108860016,
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-... | 0.788474 | 0.829257 | -0.040783 |
What is the dimension of the moduli space of smooth genus 3 curves embedded in $\mathbb{P}^3$ with a fixed plane quintic curve as their hyperplane section? | tiger_lab_math | [
0.0013751683291047812,
0.029360705986618996,
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0.027477065101265907,
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0.012308831326663494,
0.03831642121076584,
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-0... | 0.810258 | 0.81068 | -0.000421 |
Carla's brush is 12 inches long. If Carmen's brush is 50% longer than Carla's brush, how long is Carmen's brush in centimeters? (There are 2.5 centimeters per inch.) | tiger_lab_math | [
0.0006687418790534139,
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0.04224822297692299,
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-0.022... | 0.791041 | 0.806219 | -0.015178 |
I have purchased 5 blue apples at the store. Suppose my neighbor gives me twice as many yellow apples as I have blue ones, and then I give my son 1/5 of the total number of apples; how many apples do I have now? | tiger_lab_math | [
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0.02985491417348385,
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-0.017... | 0.829003 | 0.837828 | -0.008826 |
Giorgio plans to make cookies for his class. There are 40 students and he plans to make 2 cookies per student. If 10% of his classmates want oatmeal raisin, then how many oatmeal raisin cookies will Giorgio make? Let's program in Python in the response. | tiger_lab_math | [
0.008358601480722427,
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0.03124033473432064,
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0.050436973571777344,
0.027504179626703262,
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0.020200209692120552,
0.03336485102772713,
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-0.0... | 0.806453 | 0.819064 | -0.012611 |
a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number w of people surveyed by the company ? Let's write a Python program to solve it. | tiger_lab_math | [
0.004351374693214893,
0.00825931690633297,
-0.06555408239364624,
-0.03352773189544678,
0.053507041186094284,
-0.026050707325339317,
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0.037425294518470764,
0.03452691435813904,
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0.019035734236240387,
0.028190217912197113,
-0.005524796899408102,
... | 0.813406 | 0.822731 | -0.009325 |
A plane is flying at an altitude of 10,000 feet. The pilot spots a landmark on the ground and measures the angle of depression as 15°. Find the horizontal distance between the plane and the landmark. (Round the answer to the nearest foot.) | tiger_lab_math | [
0.021446583792567253,
0.005824257154017687,
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0.038179125636816025,
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0.05181387811899185,
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0.015481527894735336,
0.030956868082284927,
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0.0... | 0.815194 | 0.827091 | -0.011898 |
What is the length of the Heighway dragon curve after 10 iterations if each iteration increases the length by a factor of $\frac{\sqrt{2}}{2}$? | tiger_lab_math | [
-0.021955998614430428,
0.025947390124201775,
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0.017812145873904228,
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0.01988803967833519,
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-0.... | 0.824102 | 0.835191 | -0.011089 |
Solve the following system of linear equations using Gaussian elimination method:
2x + 3y - z = 4
4x - 2y + 3z = -7
6x + y + z = 1 | tiger_lab_math | [
0.037640828639268875,
0.026679957285523415,
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0.055347565561532974,
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0.039304446429014206,
0.03745439648628235,
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0.02322038635611534,
0.030128592625260353,
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-0.... | 0.822054 | 0.838039 | -0.015986 |
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 16 days more?
Answer Choices: (A) 122 (B) 140 (C) 199 (D) 188 (E) 190 | tiger_lab_math | [
0.0210796557366848,
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0.03851106017827988,
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-0.0... | 0.799363 | 0.829533 | -0.030171 |
What is the difference between the banker's discount and the true discount on Rs.8100 for 3 months at 5%
Answer Choices: (A) Rs. 2 (B) Rs. 1.25 (C) Rs. 2.25 (D) Rs. 0.5 (E) None of these | tiger_lab_math | [
0.032885920256376266,
0.011287055909633636,
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0.03666829690337181,
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0.06807857006788254,
0.0501268245279789,
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0.01122199185192585,
0.02642889879643917,
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0.009995... | 0.782637 | 0.809173 | -0.026537 |
in x game of billiards , x can give y 20 points in 60 and he can give z 30 points in 60 . how many points can y give z in x game of 120 ? Let's write a Python program to solve it. | tiger_lab_math | [
0.007558857556432486,
0.016891708597540855,
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0.03532861918210983,
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0.030624141916632652,
0.049450185149908066,
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0.010232347995042801,
0.05391992628574371,
-0.05838668718934059,
0.0... | 0.814132 | 0.823096 | -0.008964 |
Set #1 = {A, B, C}
Set #2 = {K, L, M, N, O, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?
Answer Choices: (A) 1/6 (B) 1/3 (C) 4/9 (D) 2/3 (E) 5/6 | tiger_lab_math | [
0.03605971112847328,
0.028310801833868027,
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0.04247599467635155,
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0.06303899735212326,
0.03299044817686081,
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0.027481360360980034,
0.028117118403315544,
-0.010502203367650509,
-0.02... | 0.820402 | 0.83345 | -0.013048 |
Here's a problem for you:
The probability of a certain type of financial fraud occurring in a company is 0.05. If there are 500 companies in a specific city, what is the probability that at least 25 companies will experience this type of fraud? | tiger_lab_math | [
-0.0043972088024020195,
0.010457947850227356,
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-0.041761305183172226,
0.03130811080336571,
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0.06147323548793793,
0.027985520660877228,
0.004218805581331253,
-0.0061524962075054646,
0.028579825535416603,
-0.012856089510023594,... | 0.815447 | 0.819378 | -0.00393 |
Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 1/3 of capacity in 6 hours and a second inlet pipe fills the same empty tank to 2/3 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to... | tiger_lab_math | [
0.025048930197954178,
0.046548932790756226,
-0.007038932293653488,
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0.044992320239543915,
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0.022456040605902672,
0.029748275876045227,
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... | 0.799426 | 0.819249 | -0.019823 |
The length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Answer Choices: (A) 50 m (B) 60 m (C) 65 m (D) 75 m (E) 80 m | tiger_lab_math | [
0.01491046603769064,
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0.00799860805273056,
0.03802451491355896,
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-0.01093... | 0.787357 | 0.804124 | -0.016768 |
A busy restaurant is counting how many customers they had during that Friday to try to predict how many they might get on Saturday. During breakfast, they had 73 customers. During lunch, they had 127 customers. During dinner, they had 87 customers. If they predict they'll get twice the amount of customers on Saturday a... | tiger_lab_math | [
0.02446245402097702,
0.03371940925717354,
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0.028864210471510887,
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0.04069707170128822,
0.03560236841440201,
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0.009554529562592506,
0.03947697579860687,
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-0.01... | 0.812374 | 0.820078 | -0.007703 |
In a clothing store, there are 5 pants, 4 shirts, and 3 pairs of shoes on display. A customer wants to buy one outfit, consisting of one pant, one shirt, and one pair of shoes. How many possible outfits can the customer choose? | tiger_lab_math | [
0.01578756421804428,
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0.04378889128565788,
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0.037768591195344925,
0.02789423055946827,
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0.005344590172171593,
0.03772125765681267,
-0.0392836332321167,
-0.025... | 0.816625 | 0.825105 | -0.00848 |
in a certain flower shop , which stocks 4 types of flowers , there are 1 / 3 as many violets as carnations , and 1 / 3 as many tulips as violets . if there are equal numbers of roses and tulips , what percent of the flowers in the shop are carnations ? Please respond by writing a program in Python. | tiger_lab_math | [
0.008349043317139149,
0.018784916028380394,
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0.05722499266266823,
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0.05964085832238197,
0.03395916149020195,
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0.014326635748147964,
0.03418475016951561,
-0.02641841024160385,
0.0066... | 0.810509 | 0.814627 | -0.004118 |
Peter starts with 8 erasers. Bridget gives Peter 3 more. So, Peter end up with _____ erasers . Let's program in Python in the response. | tiger_lab_math | [
0.03447547182440758,
0.020473411306738853,
-0.04465078189969063,
-0.030009426176548004,
0.04350075498223305,
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0.056755807250738144,
0.039748866111040115,
-0.0439973846077919,
0.02602323144674301,
0.03871581703424454,
-0.042324766516685486,
-0.0404... | 0.805865 | 0.818735 | -0.01287 |
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 80 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
Answer Choices: (A) 16 (B... | tiger_lab_math | [
0.024885255843400955,
0.02254302054643631,
-0.033535074442625046,
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0.04715214669704437,
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0.05556753650307655,
0.045861829072237015,
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0.008212210610508919,
0.03881780430674553,
-0.046270739287137985,
-0.... | 0.800168 | 0.831536 | -0.031368 |
In a graduating class, 40 percent of the students are male. In this class, 40 percent of the male students and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Answer Choice... | tiger_lab_math | [
0.0032348826061934233,
0.013060437515377998,
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0.05429030954837799,
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0.07118702679872513,
0.03707890585064888,
0.0012308608274906874,
0.017081858590245247,
0.033473726361989975,
-0.033656131476163864,
-0... | 0.793077 | 0.814605 | -0.021528 |
at what price must an article costing rs . 47.50 be marked in order that after deducting 20 % from the list price . it may be sold at a profit of 25 % on the cost price ? Please respond by writing a program in Python. | tiger_lab_math | [
0.01019053440541029,
0.020823009312152863,
-0.041043974459171295,
-0.02418244443833828,
0.04402843862771988,
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0.044387850910425186,
0.042381901293992996,
-0.012074020691215992,
0.008257073350250721,
0.03098013624548912,
-0.042308054864406586,
0.00... | 0.800704 | 0.820141 | -0.019437 |
Blake needs to prime and paint 5 rooms in his house. Each room will require a gallon of primer and a gallon of paint. Currently the primer is $30.00 a gallon and they are offering 20% off. The paint costs $25.00 a gallon and is not on sale. How much will he spend on paint and primer? | tiger_lab_math | [
0.019998205825686455,
0.04102236405014992,
-0.04047460854053497,
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0.04013274610042572,
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-0.034632954746484756,
0.060119662433862686,
0.02694651111960411,
-0.014813477173447609,
0.030145462602376938,
0.04127467796206474,
-0.06559943407773972,
-0.0... | 0.772396 | 0.783567 | -0.011172 |
Ed booked a hotel while he was on vacation. Staying at the hotel cost was $1.50 per hour every night and $2 per hour every morning. If Ed had $80 and he stayed in the hotel for 6 hours last night and 4 hours this morning, how much money was he left with after paying for his stay at the hotel? | tiger_lab_math | [
0.030197400599718094,
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0.026566721498966217,
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0.050433751195669174,
0.04947765916585922,
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0.02700336091220379,
0.006316101178526878,
-0.06523935496807098,
-0... | 0.797313 | 0.816081 | -0.018768 |
A delivery company needs to find the optimal route to deliver packages to 5 houses located at different coordinates on a map. The distances (in miles) between the houses are as follows:
- House 1 to House 2: 2
- House 1 to House 3: 5
- House 1 to House 4: 3
- House 1 to House 5: 6
- House 2 to House 3: 4
- House 2 to H... | tiger_lab_math | [
-0.003798451041802764,
0.03025551699101925,
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0.04094615951180458,
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0.024310117587447166,
0.03730929270386696,
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0.01692468672990799,
0.040771663188934326,
-0.014260797761380672,
-0.0... | 0.812333 | 0.815575 | -0.003242 |
A passenger train transports passengers between two stations located in two separate cities. On a particular day, the train carried 100 passengers from one station to the other one way, and on the return trip carried 60 passengers. If the train made three more round trips that day, taking the same number of people as t... | tiger_lab_math | [
0.03192341327667236,
0.008744771592319012,
-0.05072113126516342,
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0.029271114617586136,
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0.03238022327423096,
0.016323760151863098,
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0.019286200404167175,
0.027219153940677643,
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-0.0... | 0.819818 | 0.826798 | -0.00698 |
A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Answer Choices: (A) 100 (B) 277 (C) 2987 (D) 278 (E) 200 | tiger_lab_math | [
0.025657720863819122,
0.008758172392845154,
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0.02691558189690113,
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0.04065896198153496,
0.05037711188197136,
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0.00031112495344132185,
0.03176778927445412,
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-0.02... | 0.801256 | 0.831903 | -0.030647 |
if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 7 . Let's program in Python in the response. | tiger_lab_math | [
0.029381807893514633,
0.04076031595468521,
-0.03864900767803192,
-0.03972811624407768,
0.0548272468149662,
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-0.014119340106844902,
0.061085376888513565,
0.03127598017454147,
-0.018313847482204437,
0.009695140644907951,
0.03857529163360596,
-0.028827710077166557,
-0.039... | 0.82975 | 0.840816 | -0.011065 |
If E is the product of all positive integers less than 31, than what is the greatest integer k for which E/18^k is an integer?
Answer Choices: (A) 3 (B) 6 (C) 7 (D) 14 (E) 26 | tiger_lab_math | [
0.031668681651353836,
0.02979898452758789,
-0.014838024973869324,
-0.042092714458703995,
0.04378947988152504,
-0.03563303500413895,
-0.027111724019050598,
0.044378381222486496,
0.04458804056048393,
-0.00796432327479124,
0.02268918976187706,
0.04876498132944107,
-0.03266218304634094,
-0.044... | 0.825789 | 0.846382 | -0.020593 |
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 16,100, Deepak's share is:?
Answer Choices: (A) s.8467 (B) s.8428 (C) s.8400 (D) s.9800 (E) s.8420 | tiger_lab_math | [
0.026219507679343224,
0.013098002411425114,
-0.029926473274827003,
-0.026782434433698654,
0.025538071990013123,
-0.02052409201860428,
-0.0036824243143200874,
0.06717082113027573,
0.024437235668301582,
-0.02466891147196293,
0.04023923724889755,
0.012612560763955116,
-0.019975736737251282,
-... | 0.797528 | 0.819582 | -0.022054 |
Last summer, Roger worked x days at 2 hours/day at a job, and he was paid at a rate of r dollars per hour. For the whole summer, he earned $1000. This summer, he will work at another job that offers the same pay rate, r dollars per hour. This summer he will work H days at 5 hours/day, so that he will earn $4000 for the... | tiger_lab_math | [
0.014875996857881546,
0.01953432336449623,
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0.032742567360401154,
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0.07595130801200867,
0.042928267270326614,
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0.026242081075906754,
0.03494536131620407,
-0.0332215316593647,
-0.0... | 0.816124 | 0.840246 | -0.024121 |
a car travels at a speed of 65 miles per hour . how far will it travel in 7 hours ? Let's program in Python in the response. | tiger_lab_math | [
0.008458923548460007,
0.019869910553097725,
-0.0163700170814991,
-0.017634013667702675,
0.02010257914662361,
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-0.04619874432682991,
0.04573466628789902,
0.04430638626217842,
-0.035063236951828,
0.024329213425517082,
0.03217557817697525,
-0.015921400859951973,
-0.01970... | 0.783752 | 0.808381 | -0.024629 |
Let X be the algebraic variety defined by the equation x^2 + y^2 + z^2 = 1 in three-dimensional projective space P^3. Compute the second cohomology group of X. | tiger_lab_math | [
0.017719190567731857,
0.02846617065370083,
-0.0449531115591526,
-0.04953865334391594,
0.019213421270251274,
-0.01799037493765354,
-0.00877142883837223,
0.06123548746109009,
0.04495168849825859,
-0.006661067251116037,
0.013537682592868805,
0.0315101258456707,
-0.02443304844200611,
-0.017824... | 0.825689 | 0.809655 | 0.016035 |
Consider a sequence {x_n} defined by x_1 = sqrt(2), and x_{n+1} = sqrt(2 + x_n), for n >= 1. What is the limit of this sequence as n approaches infinity? Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 | tiger_lab_math | [
0.008930650539696217,
0.03476298227906227,
-0.024219652637839317,
-0.02916787751019001,
0.02351924404501915,
-0.014644521288573742,
-0.03639006242156029,
0.06011974811553955,
0.03216719999909401,
-0.035786617547273636,
0.005545677617192268,
0.03578254580497742,
-0.026997890323400497,
-0.03... | 0.830118 | 0.837803 | -0.007684 |
To create paint with a certain shade of gray, one must combine 2.5 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
Answer Choices: (A) 145.0 (B) 140.0 (C) 347.1 (D) 694.4 (E) 705.... | tiger_lab_math | [
0.009786834940314293,
0.020386137068271637,
0.006375362165272236,
-0.034064386039972305,
0.030816558748483658,
-0.04161400347948074,
-0.04381865635514259,
0.05528751760721207,
0.043182309716939926,
-0.013761652633547783,
0.027774129062891006,
0.038993969559669495,
-0.024586834013462067,
-0... | 0.792236 | 0.812506 | -0.02027 |
If a: b = 7: 5, b: c = 9: 11, find a: b: c?
Answer Choices: (A) 63: 45: 59 (B) 63: 45: 55 (C) 63: 45: 56 (D) 63: 45: 54 (E) 63: 45: 51 | tiger_lab_math | [
0.04716414213180542,
0.019054429605603218,
-0.012398015707731247,
-0.026649978011846542,
0.04817071184515953,
-0.030975274741649628,
-0.014090177603065968,
0.06766748428344727,
0.046506986021995544,
-0.009912240318953991,
0.019082864746451378,
0.03852907568216324,
-0.058729253709316254,
-0... | 0.821408 | 0.847888 | -0.02648 |
Subtracting 10% from X is the same as multiplying X by what number?
Answer Choices: (A) 80% (B) 90% (C) 10% (D) 50% (E) 60% | tiger_lab_math | [
0.019461408257484436,
-0.0037836222909390926,
-0.02122430130839348,
-0.02362019382417202,
0.04456132650375366,
-0.05785006657242775,
-0.005971529986709356,
0.07188926637172699,
0.05218387767672539,
-0.0297336895018816,
0.013842969201505184,
0.03390417620539665,
-0.05356859415769577,
-0.015... | 0.803497 | 0.831179 | -0.027682 |
Ralph is a member of the cross-country relay team. There are four other members on the team who run 3 km to complete their part of the race. Ralph runs twice as much as any member on his team to complete his part of the race. How long is the race? | tiger_lab_math | [
0.021825052797794342,
0.017475629225373268,
-0.05123619735240936,
-0.02752838470041752,
0.03522295504808426,
-0.024563612416386604,
-0.03943980485200882,
0.04336519166827202,
0.03264707326889038,
-0.03199028596282005,
0.01156262494623661,
0.03563157841563225,
-0.029848288744688034,
-0.0048... | 0.784518 | 0.792638 | -0.00812 |
What is the maximum number of completely connected vertices in a given graph G where the clique number of the graph is 3 and the total number of vertices in the graph is 8? | tiger_lab_math | [
0.012222430668771267,
0.020890286192297935,
-0.03322983533143997,
-0.043171126395463943,
0.030709976330399513,
-0.027193190529942513,
-0.03634615242481232,
0.02631225623190403,
0.020299695432186127,
-0.023446517065167427,
0.013569594360888004,
0.04107014462351799,
-0.021738320589065552,
-0... | 0.807732 | 0.815271 | -0.00754 |
Three vertices of a cube are $P=(7,12,10)$, $Q=(8,8,1)$, and $R=(11,3,9)$. What is the surface area of the cube?
| tiger_lab_math | [
0.02023720182478428,
0.03458476811647415,
-0.05289711430668831,
-0.0305250883102417,
0.02142777107656002,
-0.023044850677251816,
-0.023349154740571976,
0.04516134038567543,
0.032000720500946045,
-0.012266465462744236,
0.017173120751976967,
0.026637302711606026,
-0.032243579626083374,
-0.02... | 0.818831 | 0.823845 | -0.005015 |
Radhika got a new gaming system and asked everyone to get her games as gifts to add to the games she already has that she bought with her gaming system. On Christmas, she is given 12 new video games. On her birthday in February, she is given 8 more video games. Radhika already owned 1/2 the number of games as what she ... | tiger_lab_math | [
0.022469140589237213,
0.014388770796358585,
-0.05266242101788521,
-0.024870790541172028,
0.03423469513654709,
-0.032073307782411575,
-0.00982565339654684,
0.05628585070371628,
0.036035455763339996,
-0.021910179406404495,
0.021830204874277115,
0.02372235432267189,
-0.04926591366529465,
-0.0... | 0.809222 | 0.81461 | -0.005388 |
Reema can complete a piece of work in 12 days while Seema can the same work in 18 days. If they both work together, then how many days will be required to finish the work?
Answer Choices: (A) 6 days (B) 7.2 days (C) 9.5 days (D) 12 days (E) 13 days Let's write a program. | tiger_lab_math | [
0.02765180543065071,
0.03206821158528328,
-0.03964732214808464,
-0.024212811142206192,
0.03677278757095337,
-0.028180725872516632,
-0.04772339388728142,
0.06918176263570786,
0.033279262483119965,
-0.014102687127888203,
0.027755433693528175,
0.04008101671934128,
0.008704083040356636,
-0.021... | 0.784476 | 0.810529 | -0.026053 |
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