instruction_seed stringlengths 16 5.02k | source stringclasses 1
value | embeddings listlengths 1.02k 1.02k | mean_positive_score float64 0.7 0.87 | mean_negative_score float64 0.73 0.87 | difference_score float64 -0.05 0.04 |
|---|---|---|---|---|---|
A manufacturing company has to allocate its resources, i.e., labor and raw materials, to produce two products, A and B. It takes 20 hours to produce one unit of A and 30 hours to produce one unit of B. Similarly, it takes 5 kilograms of raw material to produce one unit of A and 10 kilograms of raw material to produce o... | tiger_lab_math | [
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-0.03... | 0.804538 | 0.801159 | 0.003379 |
In how many ways a team of 11 must be selected a team 5 men and 11 women such that the team must comprise of not more than 3 men.
Answer Choices: (A) 22399 (B) 2256 (C) 2700 (D) 279078 (E) 2911 | tiger_lab_math | [
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0.017416594550013542,
0.06556225568056107,
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-0.... | 0.802829 | 0.82653 | -0.023701 |
Compute the domain of the real-valued function $$f(x)=\sqrt{3-\sqrt{5-\sqrt{x}}}.$$ | tiger_lab_math | [
0.004301636945456266,
0.03933175280690193,
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0.021236419677734375,
0.047526758164167404,
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-0.024... | 0.82556 | 0.832855 | -0.007295 |
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Answer Choices: (A) 245 (B) 225 (C) 200 (D) 250 (E) 300 | tiger_lab_math | [
0.014936101622879505,
0.0014989589108154178,
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0.06050730496644974,
0.03712991997599602,
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0.01845882646739483,
0.025934074074029922,
-0.019813161343336105,
-0.... | 0.785241 | 0.807157 | -0.021916 |
Truck P and Truck Q drive on the highway in the same direction at respective rates of 70 kph and 75 kph. If Truck Q is 4 km behind Truck P, by how much does Truck P need to increase the speed to catch up with Truck P in 20 minutes?
Answer Choices: (A) 4 kph (B) 5 kph (C) 6 kph (D) 7 kph (E) 8 kph | tiger_lab_math | [
0.0331047922372818,
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-... | 0.796435 | 0.821755 | -0.025319 |
2+2^2+2^+......+2^9=?
Answer Choices: (A) 2044 (B) 1022 (C) 1056 (D) 1065 (E) None of them | tiger_lab_math | [
0.039907585829496384,
0.023079587146639824,
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0.043316107243299484,
0.03646647185087204,
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-0.... | 0.820013 | 0.845949 | -0.025936 |
In a group of six people, what is the smallest number of connections needed for there to be either three mutual friends or three mutual strangers? | tiger_lab_math | [
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0.023853300139307976,
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0.0166622307151556,
0.02515857294201851,
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-0.04... | 0.806807 | 0.823837 | -0.01703 |
John buys 3 boxes of burritos. He gives away a 3rd of them to his friend. Each box has 20 burritos. He eats 3 burritos per day for 10 days. How many burritos does he have left? | tiger_lab_math | [
0.027233825996518135,
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0.0003382590366527438,
0.03970210626721382,
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-0.0... | 0.818994 | 0.831619 | -0.012625 |
A manufacturing company produces computer chips, and it is known that approximately 5% of the chips are defective. A quality control manager wants to select a random sample of 100 chips to estimate the proportion of defective chips. Using Bayesian statistics, what is the probability that the proportion of defective chi... | tiger_lab_math | [
0.003930590581148863,
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0.04159194231033325,
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0.0123519916087389,
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0.036936063319444656,
-0.013262434862554073,
0.... | 0.793461 | 0.791648 | 0.001812 |
A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
Answer Choices: (A) 1250m/min (B) 1360m/min (C) 2560m/min (D) 1670m/min (E) 1890m/min | tiger_lab_math | [
0.03963075950741768,
0.02349194698035717,
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0.02424812503159046,
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0.07261010259389877,
0.04357292875647545,
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0.008604188449680805,
0.022364942356944084,
-0.018434826284646988,
-0.03... | 0.782781 | 0.821211 | -0.03843 |
Let $v$ and $w$ be distinct, randomly chosen roots of the equation $z^{1997}-1=0.$ Find the probability that
\[\sqrt{2+\sqrt{3}}\le\left|v+w\right|.\] | tiger_lab_math | [
0.023423049598932266,
0.02715419791638851,
-0.05128727853298187,
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0.03898301348090172,
0.0030249403789639473,
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0.0542297437787056,
0.035389237105846405,
-0.012656407430768013,
0.015707148239016533,
0.024943633005023003,
-0.0307133998721838,
-0.02... | 0.845749 | 0.828321 | 0.017428 |
The average weight of 20 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
Answer Choices: (A) 48.79286 (B) 42.25 (C) 50.87364 (D) 51.25 (E) 52.25474 | tiger_lab_math | [
0.014250804670155048,
0.021985294297337532,
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0.03986244276165962,
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0.03971695899963379,
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0.020404046401381493,
0.027574187144637108,
-0.04433165490627289,
-0.018... | 0.787607 | 0.81935 | -0.031743 |
Jane is 25 years old. Dick is older than Jane. In $n$ years, where $n$ is a positive integer, Dick's age and Jane's age will both be two-digit number and will have the property that Jane's age is obtained by interchanging the digits of Dick's age. Let $d$ be Dick's present age. How many ordered pairs of positive intege... | tiger_lab_math | [
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0.029609892517328262,
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0.018606098368763924,
0.02547411248087883,
-0.04847539961338043,
-0.... | 0.851469 | 0.840747 | 0.010722 |
A sum of money is distributed among A,B,C,D in the proportion of 6:4:8:5. If C gets $3000 more than D, what is the B's share?
Answer Choices: (A) $2000 (B) $6000 (C) $1000 (D) $4000 (E) $5000 | tiger_lab_math | [
0.01892997696995735,
0.01640230230987072,
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0.03410358354449272,
0.038105495274066925,
-0.03348224237561226,
-0.041... | 0.815045 | 0.828833 | -0.013788 |
Simplify the expression:
sin^2(x) + cos^2(x) - cos^2(x) / sin(x)
Note: The answer should be given in terms of sin(x) and cos(x) only. | tiger_lab_math | [
0.007145379204303026,
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0.052661169320344925,
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0.06476616859436035,
0.05756981298327446,
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0.020195122808218002,
0.006660345010459423,
-0.007822378538548946,
-0.... | 0.80957 | 0.822228 | -0.012658 |
In 1990 the budgets for projects Q and V were $500,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ?
Answer Choices: (A) 1992 (B) 1993 (C) 1994 (D) 1995... | tiger_lab_math | [
0.0033119884319603443,
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0.03318306431174278,
0.01747364178299904,
-0.06105649471282959,
-0.0... | 0.790083 | 0.812024 | -0.021941 |
A company hires a manager to oversee a project. The manager can choose to put in high effort (E = 10) or low effort (E = 6). If the manager chooses high effort, there is a 60% chance that the project will succeed, earning the company a profit of $100. If the manager chooses low effort, there is a 30% chance that the pr... | tiger_lab_math | [
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0.06611493974924088,
0.03318227827548981,
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0.022517967969179153,
0.033750709146261215,
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-0... | 0.795404 | 0.788981 | 0.006423 |
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Answer Choices: (A) 80 (B) 82 (C) 85 (D) 87 (E) 88 | tiger_lab_math | [
0.03083992563188076,
0.0169228408485651,
-0.01539596077054739,
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0.03530029207468033,
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0.05405604839324951,
0.04647870361804962,
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0.018992066383361816,
0.012518324889242649,
-0.04810383915901184,
-0.036428... | 0.790449 | 0.82158 | -0.031132 |
Ella has 4 bags with 20 apples in each bag and six bags with 25 apples in each bag. If Ella sells 200 apples, how many apples does Ella has left? | tiger_lab_math | [
0.013234111480414867,
0.0245363786816597,
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0.020004447549581528,
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0.0267897080630064,
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0.0013350375229492784,
0.04058374464511871,
-0.03825594484806061,
-0.01846... | 0.800395 | 0.821623 | -0.021228 |
There are 11 boys and 10 girls in a class. If three students are selected at random, in how many ways that 3 girl & 2 boys are selected ?
Answer Choices: (A) 6600 (B) 1300 (C) 6780 (D) 1976 (E) 2448 Please write a program to solve it | tiger_lab_math | [
0.021133502945303917,
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0.03586368262767792,
0.016410700976848602,
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0.03455125540494919,
0.056799642741680145,
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-0.... | 0.806829 | 0.824941 | -0.018112 |
Andy has 4 times as many white socks as he has black socks. If he loses half his white socks, how many more white socks does he still have than black socks if he has 6 black socks? Let's write a program. | tiger_lab_math | [
0.014272886328399181,
0.011787506751716137,
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0.037815604358911514,
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0.06285259872674942,
0.03179626911878586,
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0.011087519116699696,
0.0365971215069294,
-0.03545432537794113,
-0.0248... | 0.834655 | 0.844107 | -0.009451 |
The average age of a class of 20 students is 18 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher?
Answer Choices: (A) 40 years (B) 41 years (C) 42 years (D) 43 years (E) 44 years | tiger_lab_math | [
0.013115878216922283,
0.0032901018857955933,
-0.03610647842288017,
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0.039280712604522705,
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0.06480870395898819,
0.035727113485336304,
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0.019087200984358788,
0.01782993972301483,
-0.062380351126194,
0.0043... | 0.788702 | 0.815939 | -0.027238 |
John invests $x at the semi-annual constant compounded rate of 2 percent and also does $15,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
Answer Choices: (A) 20000 (B) 30000 (C) 40000 (D) 30301.5 (E) 50000 | tiger_lab_math | [
0.017326720058918,
0.03226817771792412,
-0.03432296961545944,
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0.021901244297623634,
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0.08244505524635315,
0.02756359800696373,
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0.03403695672750473,
0.026692591607570648,
-0.03429366648197174,
-0.02... | 0.804674 | 0.825017 | -0.020343 |
Jaco wants to buy Christmas gifts for his 8 friends that are worth $9 each. Also, he wants to buy gifts for his mother and father that are of the same amount. He has a $100 budget to buy all gifts. How much is Jaco's budget for each of his mother and father's gift? | tiger_lab_math | [
0.007944573648273945,
0.008157441392540932,
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0.025547949597239494,
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0.007039083167910576,
0.029693176969885826,
0.034997593611478806,
-0.02558417059481144,
0.010567322373390198,
0.02772064134478569,
-0.06183524429798126,
-0.0... | 0.792139 | 0.798591 | -0.006453 |
Mama bird has 6 babies in the nest. She needs to feed each baby 3 worms a day. Papa bird caught 9 worms. If she caught 13 worms and had 2 stolen, how many more does she need to catch to feed them for 3 days? | tiger_lab_math | [
0.013214821927249432,
0.013141372241079807,
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0.017877060920000076,
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0.057557784020900726,
0.014959480613470078,
-0.01762201264500618,
0.00512841297313571,
0.03667502477765083,
-0.059327639639377594,
-0.0... | 0.815641 | 0.830601 | -0.01496 |
What is $(a^3+b^3)\div(a^2-ab+b^2)$ when $a=5$ and $b=4$? | tiger_lab_math | [
0.02390245348215103,
0.029355047270655632,
-0.05305216833949089,
-0.04958833381533623,
0.03263069689273834,
-0.013952506706118584,
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0.05824973061680794,
0.040893230587244034,
-0.012594996951520443,
0.01647111400961876,
0.03433739021420479,
-0.03337573632597923,
-0.028... | 0.82126 | 0.839064 | -0.017804 |
Consider the following graph:
```
A---B---C
| | |
D---E---F
```
Determine the connectivity of the graph, i.e., the minimum number of vertices that need to be removed to disconnect the graph. | tiger_lab_math | [
0.03257268667221069,
0.008572223596274853,
-0.030417712405323982,
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0.028595156967639923,
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0.04570453613996506,
0.0425436906516552,
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0.010083545930683613,
0.022403448820114136,
-0.005426955409348011,
-0.0... | 0.821729 | 0.818779 | 0.00295 |
A product when sold with 10% rebate on the listed price gave a profit of Rs.70. What was its cost price?
Answer Choices: (A) Rs. 200 (B) Rs. 250 (C) Rs. 300 (D) Cannot be determined (E) None | tiger_lab_math | [
0.02213863469660282,
0.019264988601207733,
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0.013768987730145454,
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0.07017064839601517,
0.050245821475982666,
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0.015929052606225014,
0.030510516837239265,
-0.045625537633895874,
-0.... | 0.789106 | 0.813896 | -0.024789 |
David finished his homework in 60 minutes. He spent 15 minutes on his math homework and 18 minutes on his spelling homework. He spent the rest of the time reading for his daily reading log. How many minutes did he spend reading? | tiger_lab_math | [
0.030006514862179756,
0.0073069301433861256,
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0.02717778831720352,
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0.04958101361989975,
0.040424246340990067,
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0.0295062605291605,
0.01247168518602848,
-0.022185752168297768,
-0.049... | 0.778723 | 0.809057 | -0.030334 |
Solve for x: 5x - 3 > 22. | tiger_lab_math | [
0.03150925785303116,
0.03090049885213375,
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0.04646231234073639,
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0.07686875015497208,
0.04843932017683983,
-0.02082648314535618,
0.015398353338241577,
0.038716793060302734,
-0.04846083000302315,
-0.032... | 0.809762 | 0.846288 | -0.036526 |
John takes 3 naps a week. Each nap is 2 hours long. In 70 days how many hours of naps does he take? Let's write a Python program to solve it. | tiger_lab_math | [
0.022403527051210403,
0.009448065422475338,
-0.03971373289823532,
-0.02138354815542698,
0.0023373726289719343,
-0.025228755548596382,
-0.020590534433722496,
0.04210824891924858,
0.006977566052228212,
-0.021325035020709038,
0.025959206745028496,
0.02740492857992649,
-0.047129228711128235,
-... | 0.80355 | 0.82232 | -0.01877 |
Compute $$\sum_{n=1}^{\infty} \frac{3n-1}{2^n}.$$ Please write a program to solve it | tiger_lab_math | [
0.025976525619626045,
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Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
Answer Choices: (A) 7 : 8 (B) 7 : 2 (C) 7 : 1 (D) 7 : 6 (E) 7 : 3 | tiger_lab_math | [
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machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 5600 envelopes . ... | tiger_lab_math | [
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Find the radius of convergence and interval of convergence of the power series:
$$\sum_{n=0}^\infty\frac{(-1)^n(x-2)^n}{n^2+1}$$ | tiger_lab_math | [
0.013846397399902344,
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Given a Calabi-Yau manifold of complex dimension 3, which is defined as the zero set of the polynomial equation:
x^3 + y^3 + z^3 + u^3 + v^3 = 0,
find the number of isolated points on this manifold using algebraic geometry techniques. | tiger_lab_math | [
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A quarterback steps back to throw 80 times in a game. 30 percent of the time he does not get a pass thrown. Half of the times that he does not throw the ball he is sacked for a loss. How many times is the quarterback sacked for a loss in the game? Let's write a Python program. | tiger_lab_math | [
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"statement 1": Andy solves problems 70 to 125 inclusive in a Math exercise, "statement 2" :Andy solves problems more than 30 to 125 inclusive in a Math exercise, "options: " Entailment or contradiction or neutral? Let's write a Python program. | tiger_lab_math | [
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The values of $f$, $g$, $h$ and $j$ are 5, 6, 7 and 8, but not necessarily in that order. What is the largest possible value of the sum of the four products $fg$, $gh$, $hj$ and $fj$? Let's write a Python program to solve it. | tiger_lab_math | [
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What will be the compound interest on a sum of Rs. 24,000 after 3 years at the rate of 12% p.a.?
Answer Choices: (A) Rs. 9718.27 (B) Rs. 9750 (C) Rs. 10123.20 (D) Rs. 10483.20 (E) None | tiger_lab_math | [
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The coefficients of the polynomial
\[a_{10} x^{10} + a_9 x^9 + a_8 x^8 + \dots + a_2 x^2 + a_1 x + a_0 = 0\]are all integers, and its roots $r_1,$ $r_2,$ $\dots,$ $r_{10}$ are all integers. Furthermore, the roots of the polynomial
\[a_0 x^{10} + a_1 x^9 + a_2 x^8 + \dots + a_8 x^2 + a_9 x + a_{10} = 0\]are also $r_1,$... | tiger_lab_math | [
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Passage: Many of the jobs in the city center around state government, headquartered in Springfield. As of 2002, the State of Illinois is both the city and countys largest employer, employing 17,000 people across Sangamon County. As of February 2007, government jobs, including local, state and county, account for about ... | tiger_lab_math | [
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Mr. Sergio is a fruit grower producing apples, mangoes and oranges. In a particular season, the total produce of apples was twice the total produce of mangoes, and the total produce of oranges was 200 kg more than that of mangoes. If his farm produced 400 kg of mangoes and he sold the fruits at $50 per kg, calculate t... | tiger_lab_math | [
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A company offers its salesperson a salary of $40,000 per year plus a commission of 5% on any sales exceeding $200,000. If the salesperson makes total sales of $500,000 in a year, what would be their total compensation, including the salary and commission? How much of their compensation comes from the commission? | tiger_lab_math | [
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In Johnstown, the population is 80 and every single person drives by themselves to work. Each car on a road pollutes 10 pounds of carbon a year. A single bus pollutes 100 pounds of carbon a year. A bus can hold 40 people. The town decides to start running a bus and 25% of the people who used to drive now take the bus. ... | tiger_lab_math | [
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A fluid flows through a straight circular pipe with a radius of 0.02 m. The fluid has a density of 1000 kg/m^3 and a viscosity of 0.01 Pa*s. The maximum velocity of the fluid is 2 m/s. Determine the pressure drop (in Pa/m) along the length of the pipe if the length of the pipe is 10 m. Use the Navier-Stokes equation to... | tiger_lab_math | [
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the diagonal of a rectangle is √ 41 cm and its area is 20 sq . cm . the perimeter of the rectangle must be : ? Please respond by writing a program in Python. | tiger_lab_math | [
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A drawer contains a mixture of red socks and blue socks, at most $1991$ in all. It so happens that, when two socks are selected randomly without replacement, there is a probability of exactly $\frac{1}{2}$ that both are red or both are blue. What is the largest possible number of red socks in the drawer that is consist... | tiger_lab_math | [
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... | 0.838605 | 0.825348 | 0.013257 |
A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 9 brown mice in the experiment, how many mice in total are in the experiment?
Answer Choices: (A) 39 (B) 33 (C) 27 (D) 21 (E) 10 | tiger_lab_math | [
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Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 480 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Fredd... | tiger_lab_math | [
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Thomas owns 200 books. He decides to sell them and use the money to buy records. Each book sells for $1.5. A record costs $3. If he buys 75 records, how much money does he have left over? | tiger_lab_math | [
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If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8 | tiger_lab_math | [
0.05704188719391823,
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0.047116320580244064,
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-0.025... | 0.81798 | 0.838307 | -0.020327 |
Piazzanos Pizzeria has a buy-1-get-1-free special on triple cheese pizzas, and a buy-2-get-1-free special on meat lovers pizzas. If the standard price for a pizza is $5, how much does it cost, in dollars, to purchase 10 triple cheese and 9 meat lovers pizzas using the special pricing? Let's write a program. | tiger_lab_math | [
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Bronson is an apple dealer. He buys apples from farmers and then transports them to the grocery stores and sells them for profit. He buys individual apples from farmers at a cost of $12 per bushel, and sells them to the stores at a price of $0.40 per apple. If each bushel contains 48 apples, then how much profit, in... | tiger_lab_math | [
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-0.... | 0.789772 | 0.796078 | -0.006305 |
A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?
Answer Choices: (A) 8 days (B) 11 days (C) 21 days (D) 22 days (E) 24 days | tiger_lab_math | [
0.02911537140607834,
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0.04232843965291977,
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uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought less of toyota than honda at the ratio of 4 : 6 . if 40 % of the toyota bought and 60 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s . how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforeme... | tiger_lab_math | [
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0.0053107053972780704,
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0.023326540365815163,
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... | 0.77022 | 0.781396 | -0.011176 |
0, 0, 1, 2, 2, 4, 3, 6, 4, _
Can you find out which number will complete the above series?
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12 | tiger_lab_math | [
0.03350641950964928,
0.0328877791762352,
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0.025788985192775726,
0.03857669606804848,
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-0.0250... | 0.812792 | 0.840107 | -0.027314 |
At 30 minutes past 7 o'clock, what is the angle between the two hands?
Answer Choices: (A) 15 (B) 30 (C) 45 (D) 60 (E) 75 | tiger_lab_math | [
0.02500729076564312,
0.005705208983272314,
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0.03617723658680916,
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0.0237263273447752,
0.03830453008413315,
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-0.0... | 0.79611 | 0.830363 | -0.034252 |
The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a particular jacke... | tiger_lab_math | [
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0.05981402099132538,
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-0.... | 0.80195 | 0.821687 | -0.019737 |
What is the greatest integer that will always evenly divide the sum of seven consecutive integers?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 7 (E) 12 | tiger_lab_math | [
0.04899401217699051,
0.023427674546837807,
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0.026104388758540154,
0.0448930561542511,
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-0.0156... | 0.821147 | 0.835734 | -0.014587 |
E and F have a data plan which gives them 200 GB every month. If E uses 7 GB every 9 days and F uses 5 GB every 4 days, how many GB will be unused after a 30 day month? Answer in fractions.
Answer Choices: (A) 365/6 (B) 73/6 (C) 35/6 (D) 835/6 (E) 200/6 | tiger_lab_math | [
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0.023780155926942825,
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0.019580712541937828,
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0.05751495808362961,
0.03568631038069725,
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0.01784939505159855,
0.0377236045897007,
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-0.010... | 0.796749 | 0.822265 | -0.025516 |
The population of a town is 7800. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?
Answer Choices: (A) 9600 (B) 8000 (C) 8500 (D) 9500 (E) 10000 | tiger_lab_math | [
0.03714963421225548,
0.022470159456133842,
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0.04519106447696686,
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0.05624058470129967,
0.049040671437978745,
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0.010905083268880844,
0.012182976119220257,
-0.04870361089706421,
-0.... | 0.787907 | 0.820918 | -0.033011 |
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Answer Choices: (A) 4 years (B) 8 years (C) 10 years (D) 12 years (E) None of these | tiger_lab_math | [
0.03274252265691757,
0.004004080314189196,
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0.03990468382835388,
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0.028921756893396378,
0.031639713793992996,
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-0.0... | 0.794036 | 0.818755 | -0.024719 |
Stephen has 110 ants in his ant farm. Half of the ants are worker ants, 20 percent of the worker ants are male. How many female worker ants are there? Please respond by writing a program in Python. | tiger_lab_math | [
0.011060275137424469,
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0.02768416330218315,
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0.05120036378502846,
0.028393587097525597,
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0.015500186942517757,
0.03662559762597084,
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-0.02... | 0.790313 | 0.808498 | -0.018185 |
the total cost of 100 paper plates and 200 paper cups is $ 8.00 at the same rates what is the total cost of 20 of the plates and 40 of the cups ? Let's write a program. | tiger_lab_math | [
-0.0003674507315736264,
0.026438865810632706,
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0.02953462116420269,
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0.0065353331156075,
0.02887394092977047,
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-0... | 0.790707 | 0.802966 | -0.012259 |
A train passes a station platform in 36 seconds and a man standing on the platform in 22 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 877 m (B) 210 m (C) 167 m (D) 887 m (E) 265 m | tiger_lab_math | [
0.03743862733244896,
0.0046003819443285465,
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0.054556019604206085,
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0.05193912237882614,
0.03319293633103371,
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0.01779249869287014,
0.023257063701748848,
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-0.00... | 0.792207 | 0.825078 | -0.032872 |
Passage: The citys history is marked by numerous great fires. In 1198, the faction set fire to the city in connection with a battle against the faction during the civil war. In 1248, and burned, and 11 churches were destroyed. In 1413 another fire struck the city, and 14 churches were destroyed. In 1428 the city wa... | tiger_lab_math | [
0.0030333453323692083,
0.033836767077445984,
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0.03142424300312996,
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0.03585028648376465,
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0.045731060206890106,
0.01031107734888792,
-0.05522759258747101,
-0.015... | 0.739664 | 0.76502 | -0.025355 |
Consider the reaction-diffusion equation for the concentration profile of a chemical species in one dimension given by:
∂C/∂t = D ∂²C/∂x² + kC - λC²,
where C(x, t) is the concentration of the chemical species at position x and time t, D is the diffusion coefficient, k is the reaction rate constant, and λ is the nonli... | tiger_lab_math | [
0.008856282569468021,
0.018875349313020706,
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0.039873890578746796,
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0.09380453079938889,
0.03664732724428177,
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0.010013674385845661,
0.011437831446528435,
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-0.... | 0.780683 | 0.772029 | 0.008654 |
How many ways are there to arrange the letters in the word accessibility ?
Answer Choices: (A) 1 (B) 1260 (C) 3780 (D) 7560 (E) 778377600 | tiger_lab_math | [
0.024094048887491226,
0.017202630639076233,
0.0057027824223041534,
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0.04115838184952736,
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0.03967031091451645,
0.03874693065881729,
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0.01698923483490944,
0.040997300297021866,
-0.025730248540639877,
-0.... | 0.796457 | 0.826296 | -0.029839 |
Two numbers are in the ratio of 5:7. If 12 is subtracted from each number, they are in the ratio of 11:17. What are the two numbers?
Answer Choices: (A) 45, 63 (B) 50, 70 (C) 55, 77 (D) 60, 84 (E) 65, 91 | tiger_lab_math | [
0.05466259643435478,
0.008798595517873764,
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0.041020993143320084,
-0.02718588151037693,
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0.06966181844472885,
0.04936554282903671,
-0.006797313690185547,
0.02109002135694027,
0.031142089515924454,
-0.0479116253554821,
-0.004... | 0.823939 | 0.845868 | -0.021929 |
275 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees ? Let's write a Python program. | tiger_lab_math | [
0.0006308640586212277,
0.01748090796172619,
-0.039964739233255386,
-0.04621418938040733,
0.018893035128712654,
-0.041497603058815,
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0.042876504361629486,
0.032144561409950256,
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0.022253474220633507,
0.03819844871759415,
-0.043587084859609604,
0.005... | 0.813927 | 0.82223 | -0.008303 |
At a station, a train comes every 5 minutes leaving 200 passengers and taking 320 others. How many different passengers step on and off a train at the station within an hour? | tiger_lab_math | [
0.03924792632460594,
0.009200249798595905,
-0.05803708732128143,
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0.02622278407216072,
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0.03757062554359436,
0.0362098403275013,
-0.01340588741004467,
0.013362442143261433,
0.022483784705400467,
-0.007866594940423965,
-0.00670... | 0.807906 | 0.821078 | -0.013172 |
At Rainbow Preschool, there are 80 students. 25% of them are half-day students and get picked up at noon, while the rest are full-day students. How many are full-day students? | tiger_lab_math | [
0.018734131008386612,
0.01239205151796341,
-0.04099259898066521,
-0.04230682924389839,
0.014006353914737701,
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0.04767075926065445,
0.04279306158423424,
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0.014948152005672455,
0.031433261930942535,
-0.023702893406152725,
-0.0... | 0.767833 | 0.783626 | -0.015794 |
Valerie needs to put stamps on the envelopes she is about to mail. She has thank you cards for each of her grandmother, uncle and aunt for the birthday presents they sent. She also has to pay the water bill and the electric bill separately. She wants to send three more mail-in rebates than she does bills and she has tw... | tiger_lab_math | [
0.009084818884730339,
0.03232383728027344,
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0.04676659777760506,
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0.044787149876356125,
0.0356849767267704,
-0.007286546751856804,
0.03789077699184418,
0.03465064615011215,
-0.03669983521103859,
-0.02376... | 0.811023 | 0.812485 | -0.001462 |
The population of Port Perry is seven times as many as the population of Wellington. The population of Port Perry is 800 more than the population of Lazy Harbor. If Wellington has a population of 900, how many people live in Port Perry and Lazy Harbor combined? | tiger_lab_math | [
0.06568129360675812,
0.009241661988198757,
-0.04979828745126724,
-0.057440973818302155,
0.02752716653048992,
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0.02725394070148468,
0.02432313561439514,
-0.04786993935704231,
0.01419895514845848,
0.04518534988164902,
-0.026381151750683784,
-0.045... | 0.753345 | 0.767561 | -0.014217 |
Find all real numbers $x$ which satisfy \[\frac{x-1}{x-3} \ge 2.\](Give your answer in interval notation.) | tiger_lab_math | [
0.032332051545381546,
0.015739191323518753,
-0.04811704903841019,
-0.034960344433784485,
0.01439198013395071,
-0.022594967857003212,
-0.0021161087788641453,
0.04920034110546112,
0.03560559079051018,
-0.03380139172077179,
0.019383519887924194,
0.04402754828333855,
-0.03142785280942917,
-0.0... | 0.835839 | 0.837142 | -0.001303 |
Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -3 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these condi... | tiger_lab_math | [
0.02808026410639286,
0.014071343466639519,
-0.02664322219789028,
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0.03006857819855213,
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0.05057075247168541,
0.05543704330921173,
-0.003790980903431773,
0.022337961941957474,
0.04733980819582939,
-0.01619073376059532,
-0.024... | 0.831142 | 0.831282 | -0.00014 |
the surface of a cube is 384 sq cm . find its volume ? Let's write a Python program to solve it. | tiger_lab_math | [
0.0015749129233881831,
0.03795641288161278,
-0.043472398072481155,
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0.04037781059741974,
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0.03776177391409874,
0.04789932817220688,
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0.035712212324142456,
0.037520043551921844,
-0.01617223210632801,
-0... | 0.804553 | 0.815072 | -0.010519 |
in a weight - lifting competition , the total weight of joe ' s two lifts was 1500 pounds . if twice the weight of his first lift was 300 pounds more than the weight of his second lift , what was the weight , in pounds , of his first lift ? Let's program in Python in the response. | tiger_lab_math | [
0.024625739082694054,
0.03370526432991028,
-0.056574203073978424,
-0.04566571116447449,
0.03156183287501335,
-0.03878528252243996,
-0.014639502391219139,
0.056078530848026276,
0.03980817273259163,
-0.019782939925789833,
0.021878276020288467,
0.024794289842247963,
-0.04924823343753815,
-0.0... | 0.795863 | 0.810144 | -0.014281 |
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 1200 per sq.metre.
Answer Choices: (A) Rs. 15,000 (B) Rs. 24,750 (C) Rs. 15,600 (D) Rs. 16,500 (E) None | tiger_lab_math | [
0.018640194088220596,
0.050624676048755646,
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0.04160848259925842,
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-0.023071303963661194,
0.055226437747478485,
0.02250750921666622,
-0.011569628491997719,
0.039016734808683395,
0.03354991599917412,
-0.035643622279167175,
-0.... | 0.795214 | 0.814854 | -0.019639 |
A passenger train has 5 carriages, each carrying 50 people. The probability of a passenger getting sick during the journey is 0.02. What is the probability that at least one passenger will get sick during the journey? | tiger_lab_math | [
0.017222203314304352,
0.019709279760718346,
-0.049846239387989044,
-0.03224584460258484,
0.031778376549482346,
-0.039360161870718,
-0.029931213706731796,
0.04314657300710678,
0.025757571682333946,
-0.00936906598508358,
0.02060972899198532,
0.02193516306579113,
0.003276608418673277,
-0.0119... | 0.809002 | 0.818812 | -0.00981 |
9 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Answer Choices: (A) 12/9 days (B) 15/2 days (C) 82/8 days (D) 22/76 days (E) 22/2 days | tiger_lab_math | [
0.009764635935425758,
0.01529561635106802,
-0.05879122391343117,
-0.027284961193799973,
0.04787953570485115,
-0.04199744015932083,
-0.03798773139715195,
0.06061086058616638,
0.03616228699684143,
-0.0191145408898592,
0.009121096692979336,
0.0549037791788578,
-0.013199676759541035,
-0.027263... | 0.796808 | 0.827149 | -0.030341 |
in the recent , climate conference in new york , out of 500 men , 300 women , 500 children present inside the building premises , 10 % of the men , 60 % of the women and 70 % of the children were indians . find the percentage of people who were not indian ? Let's program in Python in the response. | tiger_lab_math | [
-0.0012047068448737264,
0.00936359353363514,
-0.05268926918506622,
-0.008114397525787354,
0.009999210946261883,
-0.04760101065039635,
-0.01610192470252514,
0.04722544923424721,
0.051233503967523575,
-0.016392692923545837,
0.01570749096572399,
0.030816445127129555,
-0.02247040532529354,
-0.... | 0.791944 | 0.804165 | -0.012221 |
Kim takes 4 classes in school that last 2 hours each. She drops 1 class. How many hours of classes does she have now have per day? Let's program in Python in the response. | tiger_lab_math | [
-0.0066534546203911304,
0.011775286868214607,
-0.03812166675925255,
-0.02778944931924343,
0.03474428132176399,
-0.03445221856236458,
-0.04034670442342758,
0.04277877137064934,
0.040330708026885986,
-0.0076881106942892075,
0.025619901716709137,
0.015098409727215767,
-0.01695619523525238,
-0... | 0.796076 | 0.816158 | -0.020082 |
Consider the function $f(z) = \frac{4z-15}{(z-3)(z-5)}$. Find the Laurent series expansion of $f(z)$ centered at $z = 3$ for $2 < |z-3| < 4$. Determine the convergence of the series. | tiger_lab_math | [
0.017146585509181023,
0.04222364351153374,
-0.04029686003923416,
-0.03941969946026802,
0.040794454514980316,
0.018057765439152718,
0.0025485940277576447,
0.05787447839975357,
0.01555023342370987,
0.006915816105902195,
0.03122272714972496,
0.008168964646756649,
-0.035100918263196945,
-0.009... | 0.820318 | 0.818571 | 0.001747 |
Mrs. Hilt has 40 markers. They are divided equally into 7 packages. Mrs. Hilt wants to know how many markers are in each package? Please respond by writing a program in Python. | tiger_lab_math | [
0.009785466827452183,
0.017297934740781784,
-0.04447466880083084,
-0.03655550256371498,
0.05758834630250931,
-0.039537448436021805,
-0.024335013702511787,
0.03597065806388855,
0.043926749378442764,
-0.0446096695959568,
0.013546092435717583,
0.02865554578602314,
-0.0315498523414135,
-0.0272... | 0.803821 | 0.815821 | -0.011999 |
John bought a total of 20 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 60 cents. If the average price of the 20 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?
Answer Choices: (A) 4 (B)... | tiger_lab_math | [
0.020677395164966583,
0.010126681998372078,
-0.04075241461396217,
-0.028080381453037262,
0.03641797974705696,
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-0.014521974138915539,
0.05703312158584595,
0.014937249012291431,
-0.005011231172829866,
0.0007544182590208948,
0.036383964121341705,
-0.06552023440599442,
-0... | 0.816258 | 0.833299 | -0.017041 |
Sure, here's a precise numerical problem related to Prisoner's Dilemma:
Suppose two suspects, A and B, are arrested and held in separate cells. The prosecutor offers each suspect a deal: if one confesses and the other remains silent, the confessor will be released and the silent suspect will receive a 10-year sentence... | tiger_lab_math | [
0.04270663112401962,
-0.0036960679572075605,
-0.04470447078347206,
-0.014511683955788612,
0.017369156703352928,
-0.012968729250133038,
-0.02717783860862255,
0.05363155156373978,
0.04149843379855156,
-0.02753951959311962,
0.016072241589426994,
0.024410132318735123,
-0.040426839143037796,
-0... | 0.830932 | 0.821457 | 0.009475 |
A company wants to minimize the cost of transporting its products from its warehouse to multiple distribution centers located in different cities. There are multiple routes to consider between the warehouse and each distribution center, and each route has a different transportation cost. Using the Ant Colony Optimizati... | tiger_lab_math | [
0.0025209076702594757,
0.0014200174482539296,
-0.028071606531739235,
-0.012193181551992893,
0.018535448238253593,
-0.009955789893865585,
-0.04207433760166168,
0.042302925139665604,
0.03643615171313286,
-0.016728652641177177,
0.015613132156431675,
0.027728021144866943,
-0.025886356830596924,
... | 0.797116 | 0.794404 | 0.002711 |
Solve the following system of linear equations using Gaussian elimination method:
```
3x - 4y + 5z = 8
2x - 7y - 3z = -21
6x + 2y + 4z = 18
``` | tiger_lab_math | [
0.025469409301877022,
0.015986023470759392,
-0.023368041962385178,
-0.07551100850105286,
0.0517260879278183,
-0.02468951791524887,
-0.023677906021475792,
0.045169372111558914,
0.037354469299316406,
-0.008868526667356491,
0.017988914623856544,
0.02793734520673752,
-0.03169727697968483,
-0.0... | 0.813683 | 0.832711 | -0.019028 |
0.003 * 0.5 = ?
Answer Choices: (A) 0.00015 (B) 0.0015 (C) 0.015 (D) 0.15 (E) None of these | tiger_lab_math | [
0.022615492343902588,
0.03307875990867615,
-0.030432021245360374,
-0.03091828152537346,
0.05273819342255592,
-0.030071917921304703,
-0.019149785861372948,
0.058200862258672714,
0.03447456657886505,
-0.024802712723612785,
0.008818333968520164,
0.03141702339053154,
-0.024553554132580757,
-0.... | 0.799131 | 0.837508 | -0.038377 |
One possible numerical problem related to Abductive Logic is:
A magician has 7 rabbits, 5 hats, and 3 tricks. If he selects one rabbit, one hat, and one trick randomly, what is the probability that he will perform a disappearing act using that rabbit, that hat, and that trick?
Assume that the magician can only use on... | tiger_lab_math | [
0.02404608018696308,
0.017754511907696724,
-0.03500116989016533,
-0.021659819409251213,
0.03228891268372536,
-0.016738170757889748,
-0.02979085221886635,
0.04128098860383034,
0.027240129187703133,
-0.00728190690279007,
-0.0039052378851920366,
0.021180137991905212,
-0.029315141960978508,
-0... | 0.828678 | 0.823617 | 0.005061 |
The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive?
Answer Choices: (A) 2.5 (B) 3.00 (C) 3.25 (D) 3.75 (E) 4.0 | tiger_lab_math | [
0.018673952668905258,
0.020037662237882614,
0.003262446727603674,
-0.02761310338973999,
0.0313967764377594,
-0.03371599689126015,
-0.0196848027408123,
0.04136292263865471,
0.043828047811985016,
-0.0026845489628612995,
0.020116116851568222,
0.030061205849051476,
-0.02599027380347252,
-0.041... | 0.792677 | 0.822273 | -0.029597 |
A sum of 14,800 amounts to 19,800 in 3 years at the rate of simple interest. What is the rate of interest?
Answer Choices: (A) 12% (B) 11% (C) 16% (D) 15% (E) 18% | tiger_lab_math | [
0.0025354649405926466,
0.020880816504359245,
-0.03943350538611412,
-0.0349506214261055,
0.05829925462603569,
-0.019991332665085793,
-0.0162015650421381,
0.05598588287830353,
0.026749202981591225,
0.003228459507226944,
0.03168294578790665,
0.0146527960896492,
-0.0298512764275074,
-0.0191638... | 0.7893 | 0.822511 | -0.03321 |
Mandy bought 3 packs of black shirts and 3 packs of yellow shirts for her tennis team. The black shirts come in packs of 5, and the yellow shirts come in packs of 2. How many shirts did Mandy buy in all? Let's write a program. | tiger_lab_math | [
-0.007162805180996656,
0.019561896100640297,
-0.05349211022257805,
-0.037619996815919876,
0.048566777259111404,
-0.024208705872297287,
-0.04396349936723709,
0.03696905076503754,
0.044889483600854874,
-0.016963468864560127,
0.010174300521612167,
0.0258300993591547,
-0.06422917544841766,
-0.... | 0.809061 | 0.818699 | -0.009638 |
A recent survey suggests that 70% of eligible voters plan to vote in the upcoming election. If a random sample of 300 eligible voters is taken, what is the probability that at least 200 of them plan to vote? | tiger_lab_math | [
0.03018856793642044,
0.012182324193418026,
-0.04013438895344734,
-0.03754138946533203,
0.040136728435754776,
-0.03153055161237717,
-0.011720116250216961,
0.02471764385700226,
0.04174816235899925,
-0.0033860730472952127,
0.01471473928540945,
0.038382388651371,
-0.01659582555294037,
-0.01205... | 0.79269 | 0.803182 | -0.010492 |
Passage: On November 29, 2011, a Forbes magazine report valued the Ottawa Senators Hockey Club at $201 million, (17th highest in NHL). The valuation was based on $27 million for the sport, $70 million for the arena, $80 million for the market and $25 million for the brand. For 2010–11, the club had an operating income ... | tiger_lab_math | [
0.015698136761784554,
0.01321359071880579,
-0.031688664108514786,
-0.03218923136591911,
0.05738751217722893,
-0.023431286215782166,
-0.0381493866443634,
0.03068363666534424,
0.06268348544836044,
0.008101463317871094,
0.017521874979138374,
0.047496046870946884,
-0.04166879877448082,
-0.0309... | 0.735873 | 0.757763 | -0.021889 |
Bhanu spends 30% of his income on petrol on scooter 10% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?
Answer Choices: (A) 2287 (B) 70 (C) 128 (D) 797 (E) 120 | tiger_lab_math | [
0.017942724749445915,
0.0181038286536932,
-0.017260612919926643,
-0.027747774496674538,
0.01633746176958084,
-0.04693201929330826,
0.003788967151194811,
0.04498977214097977,
0.02942890301346779,
-0.0295109860599041,
0.02670741267502308,
0.05730787292122841,
-0.04781666770577431,
-0.0387906... | 0.791012 | 0.818224 | -0.027211 |
danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 29 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point betwe... | tiger_lab_math | [
0.02447952702641487,
0.02598542906343937,
-0.053835559636354446,
-0.01659230887889862,
0.026333896443247795,
-0.0200914666056633,
-0.024398818612098694,
0.06156432256102562,
0.039632149040699005,
-0.02434571087360382,
0.022814732044935226,
0.04018649086356163,
-0.03762498497962952,
-0.0276... | 0.822917 | 0.822552 | 0.000365 |
if sharon ' s weekly salary increased by 15 percent , she would earn $ 460 per week . if instead , her weekly salary were to increase by 10 percent , how much would she earn per week ? Let's write a Python program to solve it. | tiger_lab_math | [
-0.006872729863971472,
0.03405141830444336,
-0.036387816071510315,
-0.02569899708032608,
0.04903808981180191,
-0.03765527531504631,
-0.024686316028237343,
0.07655836641788483,
0.031154803931713104,
-0.010241194628179073,
0.04143180698156357,
0.012415644712746143,
-0.054520219564437866,
-0.... | 0.792485 | 0.809496 | -0.01701 |
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