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 |
|---|---|---|---|---|---|
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Answer Choices: (A) 66 Kmph (B) 68 Kmph (C) 86 Kmph (D) 99 Kmph (E) 55 Kmph | tiger_lab_math | [
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nine persons went to a hotel for taking their meals 8 of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine.What was the total money spent by them?
Answer Choices: (A) 132 (B) 451 (C) 175 (D) 145 (E) 117 | tiger_lab_math | [
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Consider the largest solution to the equation \[\log_{10x^2} 10 + \log_{100x^3} 10 = -2.\]Find the value of $\frac{1}{x^{12}},$ writing your answer in decimal representation. Let's write a program. | tiger_lab_math | [
0.02658545970916748,
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0.035604119300842285,
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The polynomial $$P(x)=(1+x+x^2+\ldots+x^{17})^2-x^{17}$$has 34 complex zeros of the form $z_k=r_k\left[\cos(2\pi\alpha_k)
+i\sin(2\pi\alpha_k)\right]$, $k=1,2,3,\ldots,34$, with $0<\alpha_1\le\alpha_2\le\alpha_3\le\dots\le\alpha_{34}<1$ and $r_k>0$. Find $\alpha_1+\alpha_2+\alpha_3+\alpha_4+\alpha_5.$ | tiger_lab_math | [
0.03255665302276611,
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When the schools were opened for the new year, Hendrix's class had 20 new students. However, at the end of the school year, 1/3 of the students in Hendrix class had transferred to other schools. If the number of students that were in Hendrix's class before 20 new students joined was 160, calculate the number of student... | tiger_lab_math | [
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-0.044... | 0.785464 | 0.800218 | -0.014753 |
the price of a book is increased from $ 300 to $ 330 . what is the % of increase in its price ? Please write a program to solve it | tiger_lab_math | [
0.013150171376764774,
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In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is nine years older than Ellen, how old is Aaron?
Answer Choices: (A) 1.5–5 (B) 6–10 (C) 11–15 (D) 16–20 (E) 21–25 | tiger_lab_math | [
0.06354749202728271,
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0.03799667954444885,
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-0.0... | 0.787705 | 0.812556 | -0.024851 |
A rectangular pyramid has a length of 8cm, a width of 5cm, and a height of 12cm. Find the volume of the pyramid. | tiger_lab_math | [
0.017580712214112282,
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-0.020... | 0.797193 | 0.804728 | -0.007536 |
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Answer Choices: (A) 12/458 (B) 12/451 (C) 12/455 (D) 22/455 (E) 12/459 | tiger_lab_math | [
0.0021533810067921877,
0.01920441910624504,
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Imagine that there are two gas stations located on opposite sides of a busy road. They are both selling gasoline at the same price. There are 100 cars needing to fill up with gas, and each car will choose which gas station to go to based on which one is closer to them.
Assuming the gas stations can choose any price f... | tiger_lab_math | [
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0.009141966700553894,
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-0.0... | 0.819909 | 0.814376 | 0.005533 |
What is the area of the mandelbrot set bounded by the circle with a radius of 2.0 centered at the origin? | tiger_lab_math | [
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-0.0... | 0.799246 | 0.810373 | -0.011127 |
In how many ways letters of the word HAPPY be arranged?
Answer Choices: (A) 10 (B) 60 (C) 120 (D) 25 (E) 40 | tiger_lab_math | [
0.03079979121685028,
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0.0033348205033689737,
0.03880600258708,
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-0.03... | 0.791873 | 0.82598 | -0.034106 |
What is the degree of the algebraic curve defined by the equation x^2 + y^2 + z^2 - 1 = 0 in projective space P^2? | tiger_lab_math | [
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-0.01... | 0.820827 | 0.826884 | -0.006056 |
Solve the absolute value equation: |3x - 2| = 10. | tiger_lab_math | [
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-0.0251... | 0.816724 | 0.836875 | -0.020151 |
Find the compound interest and the amount on Rs.4000 at 5% per annum for 3 years when C.I is reckoned yearly?
Answer Choices: (A) s.261.50 (B) s.440.50 (C) s.630.50 (D) s.346.50 (E) s.446.50 | tiger_lab_math | [
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-0.00... | 0.784704 | 0.812233 | -0.027529 |
A student needs to find the Gauss-Bonnet theorem for a surface with a constant Gaussian curvature of 2. Calculate the total curvature of the surface given that the area of the surface is 10 square meters. | tiger_lab_math | [
0.002101421356201172,
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0.041308771818876266,
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-0... | 0.813488 | 0.804905 | 0.008583 |
The average (arithmetic mean) of the even integers from 0 to 40 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 20 inclusive?
Answer Choices: (A) 5 (B) 8 (C) 10 (D) 15 (E) 20 | tiger_lab_math | [
0.029780203476548195,
0.021933376789093018,
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0.04233568161725998,
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0.0058094775304198265,
0.018167048692703247,
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-0.0... | 0.812927 | 0.832927 | -0.02 |
A manufacturing company has to produce an item in batches of 10,000 units. The cost per batch is $3000. The selling price per unit is $5. The production cost per unit decreases by 1% for every 2 degrees Celsius decrease in temperature during production. The company wants to determine the optimal production temperature ... | tiger_lab_math | [
0.028425229713320732,
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0.0784943550825119,
0.02480204962193966,
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0.0051815928891301155,
0.01421417947858572,
-0.010898028500378132,
-0.... | 0.808852 | 0.806841 | 0.002012 |
There were 50 racers in a bicycle charity race at the beginning of the race. After 20 minutes, 30 more racers joined the race. The total number of racers doubled after another 30 minutes. If at the end of the race only 130 people finished the race, what's the total number of people who dropped before finishing the race... | tiger_lab_math | [
0.012202030047774315,
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0.026416532695293427,
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0.046070646494627,
0.04611461982131004,
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0.015005165711045265,
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-0... | 0.82343 | 0.822803 | 0.000627 |
"statement 1": '' They were truly two of the most amazing guys I have ever had the pleasure to spend time with , '' Firestone wrote on Facebook ., "statement 2" :A friend calls them '' two of the most amazing guys '' he has ever spent time with, "options: " Entailment or neutral? Let's write a program. | tiger_lab_math | [
0.03602394834160805,
0.008097979240119457,
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0.046405550092458725,
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0.05435238406062126,
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0.027833707630634308,
0.038838308304548264,
-0.04016394913196564,
... | 0.771889 | 0.781011 | -0.009122 |
"statement 1": If Melvin ' s GMAT score is twice his monthly electric bill , and his life expectancy is 80 , what is his shoe size ?, "statement 2" :If Melvin ' s GMAT score is twice his monthly electric bill , and his life expectancy is more than 80 , what is his shoe size ?, "options: " Entailment or contradiction o... | tiger_lab_math | [
0.013650227338075638,
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0.042857877910137177,
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0.021422747522592545,
0.0443318709731102,
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-0... | 0.806248 | 0.824699 | -0.018451 |
A specialized type of sand consists of 40% mineral X by volume and 60% mineral Y by volume. If mineral X weighs 2.5 grams per cubic centimeter and mineral Y weighs 2 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? (1 meter = 100 centimeters)
Answer Choices: (A) 5,500... | tiger_lab_math | [
0.033509887754917145,
0.016986029222607613,
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0.04149548336863518,
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0.028819289058446884,
0.04033936187624931,
-0.023296762257814407,
-0.02066... | 0.791051 | 0.812384 | -0.021333 |
A total of 42 baby sea turtles hatched and are headed to the ocean. One-third of them got swept to the sea by a wave. How many are still on the sand? | tiger_lab_math | [
0.010525544174015522,
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0.04981736093759537,
0.01653866656124592,
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0.05258661136031151,
0.014045215211808681,
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-0.0356... | 0.779203 | 0.796777 | -0.017575 |
A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 8 km in stationary water
Answer Choices: (A) 40 min (B) 1hr (C) 1hr 15 min (D) 1hr 30 min (E) 2 hr | tiger_lab_math | [
0.044528182595968246,
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0.0761815756559372,
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0.01643223874270916,
0.019030915573239326,
-0.04082045331597328,
-0.03... | 0.781961 | 0.809022 | -0.027061 |
the number which exceeds 16 % of it by 42 is ? Please write a program to solve it | tiger_lab_math | [
0.020682888105511665,
0.020707959309220314,
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0.0480385385453701,
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0.06730452924966812,
0.03500666469335556,
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0.050017718225717545,
0.04206811264157295,
-0.04186512902379036,
-0.019... | 0.823831 | 0.849819 | -0.025989 |
Suppose you have a 16-bit Feistel cipher with 6 rounds and a key length of 10 bits. If the plaintext is 1011010111110001 and the key is 1100101101, what is the ciphertext after encryption? | tiger_lab_math | [
0.020401351153850555,
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0.04569346085190773,
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0.03019779361784458,
0.013876030221581459,
-0.047110170125961304,
-0.009... | 0.810336 | 0.828406 | -0.018071 |
The selling price of a bicycle that had sold for $220 last year was increased by 15%. What is the new price? | tiger_lab_math | [
0.010736403055489063,
0.0038189950864762068,
-0.053159959614276886,
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0.04343878850340843,
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0.06052211672067642,
0.054764267057180405,
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0.028904909268021584,
0.017662309110164642,
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-0... | 0.784493 | 0.804043 | -0.01955 |
Given the metric
$$
g = \begin{pmatrix}
4 & 1 \\
1 & 9
\end{pmatrix}
$$
Find the Levi-Civita connection of the metric. | tiger_lab_math | [
0.009604676626622677,
0.020740658044815063,
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0.046890344470739365,
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0.04694357141852379,
0.03782318904995918,
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0.02186720259487629,
0.02989744208753109,
-0.030374014750123024,
-0.0... | 0.819495 | 0.818409 | 0.001086 |
The probability of snow for each of the next three days is $\frac{3}{4}$. What is the probability that it will not snow at all during the next three days? Express your answer as a common fraction. Please write a program to solve it | tiger_lab_math | [
0.009587997570633888,
0.016098294407129288,
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0.03664349392056465,
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0.06331463903188705,
0.030773622915148735,
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0.020969439297914505,
0.03543366491794586,
-0.00918796006590128,
-0.0186... | 0.830558 | 0.838233 | -0.007675 |
Given two vectors, $\vec{a} = 3\hat{i} - 4\hat{j} + 5\hat{k}$ and $\vec{b} = 2\hat{i} + 3\hat{j} - 2\hat{k}$, find the cross product $\vec{a} \times \vec{b}$ using trigonometry. | tiger_lab_math | [
0.0548834390938282,
0.03250773623585701,
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0.03922274708747864,
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0.07004360109567642,
0.02951306849718094,
0.009293556213378906,
0.012496404349803925,
0.022605568170547485,
-0.03282541781663895,
-0.0218... | 0.815562 | 0.815639 | -0.000077 |
Ram get 450 marks in his exam which is 90% of total marks. What is the total marks?
Answer Choices: (A) 475 (B) 600 (C) 550 (D) 500 (E) 525 Let's program in Python in the response. | tiger_lab_math | [
0.018280338495969772,
0.0017602707957848907,
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0.03260713815689087,
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-0.0126566793769598,
0.05527867376804352,
0.018548740074038506,
-0.014639792032539845,
0.004331497009843588,
0.03046145848929882,
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0.00... | 0.782178 | 0.808951 | -0.026773 |
Jack and Christina are standing 150 feet apart on a level surface. Their dog, Lindy, is standing next to Christina. At the same time, they all begin moving toward each other. Jack walks in a straight line toward Christina at a constant speed of 7 feet per second and Christina walks in a straight line toward Jack at a c... | tiger_lab_math | [
0.007174811325967312,
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Kavin has 8 pairs of shoes; each pair is a different color. If Kavin randomly selects 2 shoes without replacement from the 16 shoes, what is the probability that she will select 2 shoes of the same color?
Answer Choices: (A) 2/5 (B) 1/5 (C) 1/19 (D) 1/15 (E) 1/21 | tiger_lab_math | [
0.0048720040358603,
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0.041279133409261703,
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-0.0... | 0.80945 | 0.824282 | -0.014833 |
Compute $\sin 315^\circ$. Let's write a Python program. | tiger_lab_math | [
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-0.02... | 0.805648 | 0.820565 | -0.014917 |
the salary of a person was reduced by 20 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ? Let's program in Python in the response. | tiger_lab_math | [
-0.00841605942696333,
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0.00... | 0.795724 | 0.820958 | -0.025234 |
What is the type of the function f(x) = 2x+1, where x is an integer? | tiger_lab_math | [
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0.04391064494848251,
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a seller of used cars has 16 cars to sell and each of his clients selected 2 cars that he liked most . if each car was selected exactly thrice , how many clients visited the garage ? Let's write a Python program. | tiger_lab_math | [
0.0005438662483356893,
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0.04112417995929718,
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-0... | 0.814522 | 0.820496 | -0.005974 |
We flip a fair coin 10 times. What is the probability that we get heads in at least 8 of the 10 flips? | tiger_lab_math | [
0.008964513428509235,
0.016066472977399826,
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0.016365019604563713,
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0.023392438888549805,
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-0.0... | 0.813231 | 0.829239 | -0.016009 |
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? Let's write a Python progr... | tiger_lab_math | [
0.021171165630221367,
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0.02873021364212036,
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-0.0... | 0.809066 | 0.823085 | -0.014019 |
A train is 410 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Answer Choices: (A) 76 seconds (B) 18 seconds (C) 40 seconds (D) 19 seconds (E) 44 seconds | tiger_lab_math | [
0.030651580542325974,
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0.018486903980374336,
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q is as much younger than r as he is older than t . if the sum of the ages of r and t is 50 years , what is definitely the difference between r and q ' s age ? Let's program in Python in the response. | tiger_lab_math | [
0.01702665351331234,
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0.03146880865097046,
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0.010... | 0.794341 | 0.811326 | -0.016985 |
On a scale that measures the intensity of a certain phenomenon, a reading of d+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of d. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?
Answer Ch... | tiger_lab_math | [
0.032632406800985336,
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0.020561721175909042,
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Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 3,000, how much money did investors B and C earn in total?
Answer Choices: (A) $4,000 (B) $4,900 (C) $5,600 (D) $9,000 (E) $10,500 | tiger_lab_math | [
0.03545356169342995,
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0.02573641948401928,
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Consider the control problem of minimizing the quadratic cost function J(u) = ∫(0 to T) [(x^2(t) + u^2(t))] dt, where x(t) is the state variable of a system described by the differential equation dx/dt = x(t) + u(t), with the initial condition x(0) = 1. Find the optimal control input u(t) that minimizes the cost functi... | tiger_lab_math | [
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0.01723632961511612,
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-0... | 0.812653 | 0.797612 | 0.015041 |
In a class of 87 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
Answer Choices: (A) 6 (B) 15 (C) 24 (D) 33 (E) 54 | tiger_lab_math | [
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0.03263983875513077,
0.02335963025689125,
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-... | 0.791966 | 0.821356 | -0.029389 |
If x is an integer, then x(x - 1)(x - l) must be evenly divisible by three when l is any of the following values EXCEPT
Answer Choices: (A) -4 (B) -2 (C) -1 (D) 2 (E) 5 | tiger_lab_math | [
0.04273217171430588,
0.008065286092460155,
-0.022597920149564743,
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0.053212445229291916,
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0.027853399515151978,
0.05069431662559509,
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-0.0... | 0.829048 | 0.842517 | -0.013469 |
There are 2 sections A and B in a class, consisting of 24 and 16 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class?
Answer Choices: (A) 35.29kg (B) 37.25kg (C) 42kg (D) 38kg (E) 29.78kg | tiger_lab_math | [
0.0184186901897192,
0.018344111740589142,
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0.03942074254155159,
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0.03622685745358467,
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0.03235394135117531,
0.025221044197678566,
-0.03134467080235481,
-0.02398... | 0.788136 | 0.816752 | -0.028616 |
If x is a positive integer, f(x) is defined as the number of positive integers which are less than x and do not have a common factor with x other than 1. If x is prime, then f(x) =?
Answer Choices: (A) x-2 (B) x-1 (C) (x+1) /2 (D) (x-1) /2 (E) 2 | tiger_lab_math | [
0.035913679748773575,
0.011293583549559116,
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0.033336229622364044,
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0.059188731014728546,
0.03989563137292862,
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0.02071821689605713,
0.02297821454703808,
-0.024933192878961563,
-0... | 0.821593 | 0.829146 | -0.007554 |
Passage: There are 1,068,573 households in the municipality, giving an average household size of 3.3 people. Of those households, 78.4% are in formal structures (houses or apartment), while 20.5% are in informal structures (Shanty town). 94.0% of households use mains electricity for lighting. 87.3% of households have w... | tiger_lab_math | [
0.012132280506193638,
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0.04832978546619415,
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0.03749396651983261,
0.040764667093753815,
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0.0379684716463089,
0.04307553544640541,
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-0.032... | 0.744192 | 0.77506 | -0.030868 |
At the beginning of the year, the ratio of juniors to seniors in high school X was 5 to 6. During the year, 10 juniors and twice as many seniors transferred to another high school, while no new students joined high school X. If, at the end of the year, the ratio of juniors to seniors was 6 TO 7, how many juniors were t... | tiger_lab_math | [
0.017137635499238968,
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0.03498120978474617,
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0.03560315817594528,
0.024386661127209663,
-0.05641020089387894,
-0.... | 0.793899 | 0.812756 | -0.018856 |
Passage: Early evidence for proto-Chinese millet agriculture is Radiocarbon dating to about 7000 BC. The earliest evidence of cultivated rice, found by the Yangtze River, is carbon-dated to 8,000 years ago. Farming gave rise to the Jiahu culture (7000 to 5800 BC). At Damaidi in Ningxia, 3,172 Neolithic signs in China d... | tiger_lab_math | [
0.011101072654128075,
0.021929968148469925,
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0.02061590738594532,
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0.003891229862347245,
0.008758424781262875,
-0.01585003361105919,
-0.... | 0.732901 | 0.756411 | -0.02351 |
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Answer Choices: (A) 65 seconds (B) 46 seconds (C) 40 seconds (D) 97 seconds (E) 26 seconds | tiger_lab_math | [
0.02564046159386635,
0.016452308744192123,
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0.028620071709156036,
0.018946969881653786,
-0.016093259677290916,
-0.0... | 0.78938 | 0.824064 | -0.034684 |
In a Public Goods Game, there are 5 players who each have an initial amount of $10. They can choose to contribute any amount between $0 and $5 to a common pot. The total contributions are multiplied by a factor of 1.5 and then divided equally among all the players, regardless of how much they contributed. If a player d... | tiger_lab_math | [
0.0042265779338777065,
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0.005167408846318722,
0.01919059455394745,
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... | 0.813568 | 0.803845 | 0.009723 |
Honey earned $80 a day. Every day, she spent part of her pay and saved the rest. After 20 days of work, she spent $1360. How much did Honey save in 20 days? | tiger_lab_math | [
0.0201198048889637,
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0.012882069684565067,
0.019326381385326385,
-0.03972472995519638,
-0.043... | 0.771363 | 0.80027 | -0.028907 |
The cheerleading coach is ordering new uniforms. There are 4 cheerleaders who need a size 2, a certain number who need a size 6, and half that number who need a size 12. If there are 19 cheerleaders total, how many cheerleaders need a size 6? | tiger_lab_math | [
0.005497552454471588,
0.018799344077706337,
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0.03192506730556488,
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0.00869367178529501,
0.019656801596283913,
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0.015890998765826225,
0.0361558273434639,
-0.02738957852125168,
-0.02755... | 0.80521 | 0.817826 | -0.012616 |
If x + y = 3 and y/x= 2 then y = ?
Answer Choices: (A) 0 (B) 1/2 (C) 1 (D) 3/2 (E) 2 | tiger_lab_math | [
0.04110513627529144,
0.01738915964961052,
-0.03798941522836685,
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0.04859509319067001,
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0.06677313894033432,
0.05022599920630455,
-0.02265878953039646,
0.02240971103310585,
0.048952143639326096,
-0.03234022855758667,
-0.0353... | 0.811688 | 0.840007 | -0.028319 |
If n is the greatest positive integer for which 4^n is a factor of 10!, then n =?
Answer Choices: (A) 2 (B) 4 (C) 6 (D) 8 (E) 10 | tiger_lab_math | [
0.04405474662780762,
0.024065041914582253,
-0.006006629206240177,
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0.03925900533795357,
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-0.020841769874095917,
0.04248834028840065,
0.04289805144071579,
-0.02270127274096012,
0.007985123433172703,
0.041451212018728256,
-0.054126422852277756,
-0.036... | 0.822454 | 0.843904 | -0.021449 |
John plants a plot of 3 trees by 4 trees. Each tree gives 5 apples. He sells each apple for $.5. How much money does he make, in dollars? | tiger_lab_math | [
0.01633245125412941,
0.008136594668030739,
-0.05515443533658981,
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0.014878836460411549,
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0.04126562550663948,
0.01384644117206335,
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0.0054112025536596775,
0.03587290644645691,
-0.04369130730628967,
-0.... | 0.797143 | 0.817961 | -0.020818 |
5^4 + 5^4 + 5^4 + 5^4 =
Answer Choices: (A) 5^5 (B) 5^6 (C) 4^8 (D) 4^9 (E) 4^12 | tiger_lab_math | [
0.043501533567905426,
0.03305848687887192,
-0.014943256042897701,
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0.048529207706451416,
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0.06338008493185043,
0.06922575831413269,
0.009659212082624435,
0.008456193841993809,
0.024840788915753365,
-0.04743194207549095,
-0.0... | 0.819281 | 0.842121 | -0.02284 |
A man can row upstream at 6km/hr and down stream at 11km/hr find mans rate in still water ?
Answer Choices: (A) 2.9km/hr (B) 8.5km/hr (C) 7.8km/hr (D) 85.4km/hr (E) 6.6km/hr Let's write a program. | tiger_lab_math | [
0.02154511772096157,
0.007709980010986328,
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0.049680355936288834,
-0.04571979492902756,
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0.06942708790302277,
0.03912389278411865,
-0.0059291343204677105,
0.021541422232985497,
0.029247473925352097,
-0.04146203026175499,
-0.... | 0.780461 | 0.81019 | -0.029729 |
Fernanda purchased six audiobooks from Audible to listen to from her audible app. If each audiobook was 30 hours long and she listened to 2 hours of an audiobook each day, calculate the total time it took her to finish the six audiobooks? | tiger_lab_math | [
0.01132445503026247,
0.010541201569139957,
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0.018146228045225143,
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0.050296034663915634,
0.02193816751241684,
-0.01905405893921852,
0.027913136407732964,
0.0038970913738012314,
-0.03015102632343769,
-0.030... | 0.784516 | 0.803898 | -0.019382 |
a bookseller sells his books at a 10 % markup in price . if he sells a book for $ 11.00 , how much did he pay for it ? Let's write a Python program to solve it. | tiger_lab_math | [
0.019818805158138275,
0.00011034853378077969,
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0.04627975821495056,
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0.024714376777410507,
0.05044117569923401,
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0.014416328631341457,
0.03716789558529854,
-0.052926864475011826,
-0.... | 0.80418 | 0.8184 | -0.01422 |
i chose a number and divide it by 2 . then i subtracted 100 from the result and got 4 . what was the number i chose ? Please respond by writing a program in Python. | tiger_lab_math | [
0.026545578613877296,
0.006608909927308559,
-0.036529019474983215,
-0.023227589204907417,
0.03859039396047592,
-0.04399273544549942,
-0.025782514363527298,
0.032470665872097015,
0.05023888126015663,
0.0042486246675252914,
0.03307769447565079,
0.032098330557346344,
-0.035662341862916946,
0.... | 0.803563 | 0.829363 | -0.025799 |
How many non-similar triangles have angles whose degree measures are distinct positive integers in arithmetic progression? Let's program in Python in the response. | tiger_lab_math | [
0.011016043834388256,
0.00900106132030487,
-0.04173646867275238,
-0.03473333269357681,
0.023176223039627075,
-0.01608886756002903,
-0.01980423368513584,
0.028215579688549042,
0.0419418029487133,
-0.02676541358232498,
0.019278578460216522,
0.017063241451978683,
-0.03427382931113243,
-0.0132... | 0.836448 | 0.826892 | 0.009556 |
A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?
Answer Choices: (A) 484 (B) 448 (C) 844 (D) 848 (E) 884 | tiger_lab_math | [
0.02609965391457081,
-0.0004904979141429067,
-0.024128027260303497,
-0.025923285633325577,
0.01991265080869198,
-0.03529428318142891,
0.00038991260225884616,
0.05300508439540863,
0.036327991634607315,
-0.019976317882537842,
0.025741776451468468,
0.03382585197687149,
-0.028859155252575874,
... | 0.804866 | 0.826942 | -0.022075 |
Beth has 72 marbles of three colors. Each color has the same amount of marbles. If Beth loses 5 red, twice as many blue, and three times as many yellow ones than red ones, how many marbles does she have left? | tiger_lab_math | [
0.00495066586881876,
0.013391008600592613,
-0.051698096096515656,
-0.050399720668792725,
0.01974957250058651,
-0.009998871013522148,
-0.037882376462221146,
0.048996713012456894,
0.030565429478883743,
-0.0295445304363966,
0.020787876099348068,
0.02522841840982437,
-0.027615729719400406,
-0.... | 0.815078 | 0.82808 | -0.013002 |
What is the remainder when 43^89 is divided by 5?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 | tiger_lab_math | [
0.017597520723938942,
0.016192685812711716,
-0.0016111010918393731,
-0.04073561728000641,
0.044283702969551086,
-0.02560790441930294,
-0.009956665337085724,
0.06315276026725769,
0.059798143804073334,
-0.02148739993572235,
0.028041377663612366,
0.029386447742581367,
-0.030167343094944954,
-... | 0.811712 | 0.856209 | -0.044497 |
Two numbers are in respectively 10% and 40% more than a third number. The ratio of the two numbers is?
Answer Choices: (A) 11:14 (B) 7:9 (C) 17:25 (D) 15:26 (E) 2:3 | tiger_lab_math | [
0.0480908565223217,
0.006072245072573423,
-0.009729878045618534,
-0.027434080839157104,
0.03885043039917946,
-0.031978316605091095,
-0.004673027899116278,
0.08767981082201004,
0.03170408308506012,
-0.0028529497794806957,
0.02953893505036831,
0.04414091631770134,
-0.051931776106357574,
-0.0... | 0.812205 | 0.840857 | -0.028652 |
In rectangle $ABCD$, $AB=5$ and $BC =3$. Points $F$ and $G$ are on $\overline{CD}$ so that $DF = 1$ and $GC=2$. Lines $AF$ and $BG$ intersect at $E$. Find the area of $\triangle AEB$. Express your answer as a common fraction. [asy]
pair A,B,C,D,I,F,G;
A=(0,0);
B=(5,0);
C=(5,3);
D=(0,3);
F=(1,3);
G=(3,3);
I=(1.67,5);
dr... | tiger_lab_math | [
0.03678428754210472,
0.024187710136175156,
-0.04697556048631668,
-0.06395259499549866,
0.02869020402431488,
-0.02866509184241295,
-0.003669738071039319,
0.057026877999305725,
0.028917575255036354,
0.013120886869728565,
0.02963409200310707,
0.02283518947660923,
-0.01582474634051323,
-0.0032... | 0.839106 | 0.823603 | 0.015502 |
In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 15, find the number?
Answer Choices: (A) 867 (B) 864 (C) 753 (D) 946 (E) 549 Let's write a Python program to solve it. | tiger_lab_math | [
0.0065284851007163525,
0.0007902127108536661,
-0.03525569289922714,
-0.046342283487319946,
0.056915249675512314,
-0.04243532940745354,
-0.028488248586654663,
0.05390222743153572,
0.024326344951987267,
0.0029787756502628326,
0.04210403561592102,
0.03367815166711807,
-0.04887561872601509,
-0... | 0.806897 | 0.834579 | -0.027683 |
Solve for x: (3x^2 + 9x) / (5x^2 + 10x) = 2/5 | tiger_lab_math | [
0.02035837061703205,
0.022359658032655716,
-0.05655129998922348,
-0.04222618415951729,
0.03525003045797348,
-0.04170246794819832,
-0.01141659077256918,
0.08246026933193207,
0.05634353309869766,
-0.017093950882554054,
0.017133396118879318,
0.02968335896730423,
-0.034088846296072006,
-0.0195... | 0.826618 | 0.840078 | -0.01346 |
If y exceeds x by 20%, then x is less than y by?
Answer Choices: (A) 16 2/7% (B) 16 2/8% (C) 16 2/3% (D) 16 2/9% (E) 16 2/13% | tiger_lab_math | [
0.0006296889623627067,
0.00886420626193285,
-0.03835918754339218,
-0.025006718933582306,
0.06469167023897171,
-0.028076032176613808,
-0.022377219051122665,
0.07606834173202515,
0.06202283501625061,
-0.00391523540019989,
0.021890483796596527,
0.047225918620824814,
-0.05219532549381256,
-0.0... | 0.802408 | 0.833938 | -0.03153 |
Mason is three times younger than Sydney and Sydney is six years younger than Mason's father. If Mason is 20 years old, how old is his father? Let's program in Python in the response. | tiger_lab_math | [
0.01690324954688549,
0.016288748010993004,
-0.036866676062345505,
-0.02389782853424549,
0.043645162135362625,
-0.03324546292424202,
-0.02168644592165947,
0.060293760150671005,
0.052295759320259094,
-0.01115466933697462,
0.025141654536128044,
0.037331320345401764,
-0.047356978058815,
-0.024... | 0.783963 | 0.80303 | -0.019067 |
The local aquarium has 4 dolphins that each require 3 hours of training daily. The aquarium has 2 trainers and they want to split the hours they spend training the dolphins equally. How many hours will each trainer spend training the dolphins? Let's program in Python in the response. | tiger_lab_math | [
0.002482193987816572,
0.00547464145347476,
-0.061487291008234024,
-0.027806734666228294,
0.033031776547431946,
-0.021394770592451096,
-0.03876582533121109,
0.03735196590423584,
0.032655268907547,
-0.03567514196038246,
0.03009505569934845,
0.01607363671064377,
-0.022112766280770302,
-0.0023... | 0.802444 | 0.811085 | -0.008642 |
"statement 1": If the number of such passengers that used Miami Airport was 1 / 2 the number that used Kennedy Airport and 4 times the number that used Logan Airport , approximately how many millions of these passengers used Logan Airport that year ?, "statement 2" :If the number of such passengers that used Miami Air... | tiger_lab_math | [
0.02982240915298462,
0.005470738280564547,
-0.05978386849164963,
-0.04130690544843674,
0.0450441911816597,
-0.016706213355064392,
-0.026667123660445213,
0.052169010043144226,
0.03356892988085747,
-0.007859457284212112,
0.0008255263674072921,
0.03113897703588009,
-0.026316937059164047,
-0.0... | 0.804919 | 0.819459 | -0.01454 |
Jessica wrote a long letter to her aunt and needed to put stamps on it to mail it. She used eight pieces of paper that weigh 1/5 of an ounce each, and her envelope weighs 2/5 of an ounce. She needed one stamp per ounce. How many stamps did Jessica need to mail her letter? Let's write a Python program. | tiger_lab_math | [
0.006781303323805332,
0.034755606204271317,
-0.04086555168032646,
-0.02380795031785965,
0.05012999102473259,
-0.05492150038480759,
-0.03978468477725983,
0.03427430987358093,
0.03508428484201431,
-0.013155716471374035,
0.032545335590839386,
0.03238033130764961,
-0.02067190781235695,
-0.0194... | 0.796562 | 0.809861 | -0.013299 |
Lucy deposited $62500 in an investment fund that provided 24 percent annual return compounded half yearly.If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $10400?
Answer Choices: (A) 0.5 (B) 2 (C) 12 (D) 6 (E) 6.1 | tiger_lab_math | [
0.03519602119922638,
0.020676445215940475,
-0.0336378738284111,
-0.01971435360610485,
0.019523443654179573,
-0.03157985210418701,
-0.02374253422021866,
0.06766512989997864,
0.02976003661751747,
-0.009019600227475166,
0.03477456048130989,
0.022141732275485992,
-0.02357608824968338,
-0.03713... | 0.79347 | 0.822019 | -0.028548 |
8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 5 such machines to perform the same job ? Let's write a Python program to solve it. | tiger_lab_math | [
0.013647926971316338,
0.029936987906694412,
-0.03670851141214371,
-0.016382455825805664,
0.03150643780827522,
-0.019888052716851234,
-0.05188916623592377,
0.05272459238767624,
0.03573191538453102,
-0.012501361779868603,
0.009379800409078598,
0.0182924997061491,
-0.023065373301506042,
-0.01... | 0.802297 | 0.812929 | -0.010632 |
5 geckos on the kitchen window eat 6 insects each. 3 lizards eat twice as much as the geckos. How many total insects were eaten? Let's write a Python program to solve it. | tiger_lab_math | [
-0.004271276760846376,
0.022352341562509537,
-0.03882167488336563,
-0.04481462761759758,
0.03709142655134201,
-0.02831118553876877,
-0.02801451086997986,
0.024322152137756348,
0.019021054729819298,
-0.036465805023908615,
0.027711492031812668,
0.035955388098955154,
-0.04738102853298187,
-0.... | 0.810372 | 0.824989 | -0.014618 |
If the President and Vice President must sit next to each other in a row with 3 other members of the Board, how many different seating arrangements are possible?
Answer Choices: (A) 12 (B) 26 (C) 20 (D) 48 (E) 32 | tiger_lab_math | [
0.030094856396317482,
-0.0012876210967078805,
-0.03655533865094185,
-0.019262174144387245,
0.03495585918426514,
-0.03951737657189369,
-0.02660319395363331,
0.04398966580629349,
0.032009124755859375,
-0.011128037236630917,
0.02957064099609852,
0.026752589270472527,
-0.03644391521811485,
-0.... | 0.803692 | 0.822006 | -0.018314 |
A rectangular cube has a volume of 11 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices
Answer Choices: (A) 24 (B) 48 (C) 64 (D) 88 (E) 100 | tiger_lab_math | [
0.03188800811767578,
0.02100590243935585,
-0.02710817940533161,
-0.011545171029865742,
0.028436357155442238,
-0.04439812898635864,
-0.027706051245331764,
0.06282276660203934,
0.03884614259004593,
0.0030754406470805407,
0.026541532948613167,
0.02940170280635357,
-0.028728023171424866,
-0.01... | 0.810842 | 0.826683 | -0.015841 |
A math student needs to determine the correlation between the height and weight of 20 students in a class. The heights of the students (in inches) are:
66, 68, 63, 70, 64, 71, 67, 68, 65, 69, 62, 72, 67, 69, 63, 70, 65, 71, 68, 67.
The corresponding weights of the students (in pounds) are:
120, 142, 110, 148, 128, ... | tiger_lab_math | [
0.019766125828027725,
0.027564771473407745,
-0.06002267822623253,
-0.05607958137989044,
0.03417038545012474,
-0.015850966796278954,
-0.04924916476011276,
0.03388547524809837,
0.03276978060603142,
-0.01189957931637764,
0.01491552498191595,
0.02862204983830452,
-0.038748614490032196,
-0.0159... | 0.801337 | 0.808782 | -0.007445 |
David has $1,500 at the beginning of his trip, after spending money, he still has exactly $500 less than he spent on the trip. How much money does John still have?
Answer Choices: (A) $200 (B) $400 (C) $500 (D) $800 (E) $1,200 | tiger_lab_math | [
0.015909353271126747,
0.008101493120193481,
-0.032526034861803055,
-0.035293273627758026,
0.033286914229393005,
-0.03094751201570034,
0.014070052653551102,
0.06912948191165924,
0.04111684113740921,
-0.010608435608446598,
0.025053203105926514,
0.028895314782857895,
-0.028995640575885773,
-0... | 0.789966 | 0.818213 | -0.028246 |
Jerry received a 10% raise each month for two consecutive months. What was his starting salary if after the two raises his salary is $1452?
Answer Choices: (A) $1,200 (B) $1,300 (C) $1,331 (D) $1,380 (E) $1,403 Please write a program to solve it | tiger_lab_math | [
0.008724686689674854,
0.02004750818014145,
-0.03533796966075897,
-0.02009592205286026,
0.04187509045004845,
-0.029901819303631783,
-0.01950969360768795,
0.08959321677684784,
0.03884315863251686,
-0.02080702967941761,
0.04742800071835518,
0.021470606327056885,
-0.07173610478639603,
-0.03003... | 0.811337 | 0.830874 | -0.019537 |
The fall semester lasts 15 weeks. During the weekdays, Paris studies 3 hours a day for her classes. On the weekends, she spends 4 hours studying on Saturday and 5 hours studying on Sunday. How much time does Paris study during the semester? | tiger_lab_math | [
0.003431286197155714,
0.012978893704712391,
-0.03903106227517128,
-0.022359570488333702,
0.04853200167417526,
-0.03770716115832329,
-0.036020029336214066,
0.04158943518996239,
0.027902133762836456,
0.011189723387360573,
0.035378117114305496,
0.018424682319164276,
-0.030145447701215744,
-0.... | 0.758463 | 0.781471 | -0.023007 |
The graphs of $y=|x|$ and $y=-x^2-3x-2$ are drawn. For every $x$, a vertical segment connecting these two graphs can be drawn as well. Find the smallest possible length of one of these vertical segments. | tiger_lab_math | [
0.0030633551068603992,
0.025827327743172646,
-0.04816179722547531,
-0.03617643564939499,
0.027790233492851257,
-0.018614381551742554,
-0.01666978932917118,
0.06762399524450302,
0.044734567403793335,
-0.01641860045492649,
0.014469905756413937,
0.034250956028699875,
-0.0022557235788553953,
-... | 0.844175 | 0.832447 | 0.011728 |
Consider a graph G which has 5 vertices and 6 edges, where each vertex is connected to at least one other vertex. Find the chromatic polynomial of G. | tiger_lab_math | [
0.013898337259888649,
0.017957933247089386,
-0.03490560129284859,
-0.042636722326278687,
0.021030046045780182,
-0.05530402809381485,
-0.02812321111559868,
0.03013094700872898,
0.015540794469416142,
-0.024495942518115044,
0.03694495931267738,
0.039610911160707474,
-0.006100967526435852,
0.0... | 0.82374 | 0.817246 | 0.006493 |
Billy's family likes to keep their bicycles stored in the garage when they're not being used. They own a total of 4 bicycles. Each bicycle wheel has 10 spokes. How many spokes are inside the garage? Let's write a Python program. | tiger_lab_math | [
0.030870607122778893,
0.027424130588769913,
-0.05018984153866768,
-0.009583482518792152,
0.036989565938711166,
-0.04223565012216568,
-0.026223475113511086,
0.01732492446899414,
0.04797947034239769,
-0.024927586317062378,
0.014336756430566311,
0.047717150300741196,
-0.03552936017513275,
-0.... | 0.803731 | 0.811067 | -0.007335 |
Suppose you intercepted a Rail fence cipher message with the following ciphertext:
```
TSMHENIYETFREAESAEIHGLOAEIOMTYF
```
Knowing that the plaintext message was originally written in rows of 5, and the key was 3, what is the original plaintext message? | tiger_lab_math | [
0.027070537209510803,
0.03389403596520424,
-0.02804514952003956,
-0.048979904502630234,
0.047938328236341476,
-0.05017052963376045,
-0.02904624305665493,
0.06045433506369591,
0.032423920929431915,
-0.03173360228538513,
0.021400580182671547,
-0.011466164141893387,
-0.028972076252102852,
-0.... | 0.80891 | 0.822173 | -0.013263 |
The average speed for an hour drive is 66 miles per hour. If Felix wanted to drive twice as fast for 4 hours, how many miles will he cover? | tiger_lab_math | [
0.01432864461094141,
0.0008494106587022543,
-0.01533995196223259,
-0.03061172552406788,
0.011881865561008453,
-0.027358660474419594,
-0.0454014390707016,
0.0399039052426815,
0.03549307957291603,
-0.018643967807292938,
0.020584842190146446,
0.016976984217762947,
-0.019901830703020096,
-0.03... | 0.785168 | 0.805264 | -0.020096 |
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Answer Choices: (A) 1 (B) 8 (C) 9 (D) 7 (E) 5 | tiger_lab_math | [
0.004525830503553152,
0.014705460518598557,
-0.02880893088877201,
-0.034876156598329544,
0.04457377269864082,
-0.03889002650976181,
-0.03088538534939289,
0.04711346700787544,
0.027735577896237373,
-0.01118967030197382,
0.017983892932534218,
0.0439874529838562,
-0.046616487205028534,
-0.047... | 0.796241 | 0.828946 | -0.032706 |
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B + C?
Answer Choices: (A) 6A+7. (B) 5A+1. (C) 4A-3. (D) 6A-5. (E) 6A-7. | tiger_lab_math | [
0.04156893491744995,
0.019042368978261948,
-0.04464135318994522,
-0.029852518811821938,
0.05307075381278992,
-0.03280278667807579,
-0.03728367015719414,
0.057440098375082016,
0.059592105448246,
-0.02826458401978016,
0.020243993028998375,
0.03717299923300743,
-0.03868579864501953,
-0.037995... | 0.82052 | 0.831249 | -0.010729 |
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 248 m (B) 240 m (C) 277 m (D) 765 m (E) 176 m | tiger_lab_math | [
0.035993240773677826,
0.01048385351896286,
-0.03412391617894173,
-0.051932431757450104,
0.05538496747612953,
-0.03939753398299217,
-0.03557785972952843,
0.050485651940107346,
0.03311353921890259,
-0.017752092331647873,
0.011972346343100071,
0.02179778553545475,
-0.026334695518016815,
-0.00... | 0.793843 | 0.825455 | -0.031612 |
"statement 1": Bush 's earthbound celebration will be a dinner with 200 friends and family and a performance by Irish tenor Ronan Tynan ., "statement 2" :George H.W. Bush will celebrate 90th birthday with 200 family and friends, "options: " Entailment or neutral? Let's write a program. | tiger_lab_math | [
0.032000865787267685,
0.023673588410019875,
-0.03205627575516701,
-0.03830594941973686,
0.031087638810276985,
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0.0038512744940817356,
0.05510282143950462,
0.05038479343056679,
-0.010556136257946491,
0.025740070268511772,
0.05794401466846466,
-0.03443417698144913,
-0.00... | 0.78213 | 0.790047 | -0.007917 |
Consider the graph below:
Find the chromatic index of the above graph, i.e., the minimum number of colors needed to color the edges of the graph such that no adjacent edges have the same color. | tiger_lab_math | [
0.0008698399760760367,
0.020676935091614723,
-0.02362695150077343,
-0.030102794989943504,
0.026247242465615273,
-0.040340956300497055,
-0.029109928756952286,
0.06077102571725845,
0.027481326833367348,
-0.022259825840592384,
0.019546911120414734,
-0.0026375611778348684,
-0.01006893627345562,
... | 0.819886 | 0.815279 | 0.004607 |
A water supply network consists of 5 pipes with the capacities of 12, 20, 15, 10, and 8 units, connected to three water tanks with the demands of 25, 20, and 10 units, respectively. What is the maximum possible flow that the network can deliver from the water tanks to the pipes while satisfying the capacities of the pi... | tiger_lab_math | [
0.020568158477544785,
0.023769289255142212,
-0.0381891094148159,
-0.023889008909463882,
0.03522536903619766,
-0.04447382688522339,
-0.05127332732081413,
0.0481063649058342,
0.007694956846535206,
-0.008112221956253052,
0.021009040996432304,
0.029804429039359093,
-0.038378387689590454,
-0.01... | 0.809324 | 0.80709 | 0.002233 |
Suppose that a company has determined that its daily profit function is given by $P(x)= -0.02x^2 + 500x - 5000$ where $x$ is the number of units sold.
What is the maximum profit that the company can make per day?
What is the minimum number of units the company needs to sell to break even (i.e. when profit is zero)? | tiger_lab_math | [
0.006876163650304079,
0.012307033874094486,
-0.04274115338921547,
-0.02055400423705578,
0.022346265614032745,
-0.017650766298174858,
-0.009449918754398823,
0.06093744561076164,
0.02167779579758644,
-0.004784062504768372,
0.0017355323070660233,
0.022173656150698662,
-0.017830584198236465,
-... | 0.832069 | 0.832316 | -0.000247 |
The average age of a husband and a wife is 25 years when they were married five years ago but now the average age of the husband, wife and child is 21 years(the child was born during the interval). What is the present age of the child?
Answer Choices: (A) 3 years (B) 5 years (C) 9 years (D) 4 years (E) 1 years | tiger_lab_math | [
0.023327501490712166,
0.002267603063955903,
-0.033070437610149384,
-0.034777380526065826,
0.04860877990722656,
-0.020607564598321915,
-0.028955042362213135,
0.07028000056743622,
0.046314626932144165,
-0.02028985135257244,
0.027916323393583298,
0.015171734616160393,
-0.03907286003232002,
-0... | 0.783834 | 0.813451 | -0.029617 |
Twenty switches in an office computer network are to be connected so that each switch has a direct connection to exactly three other switches. How many connections will be necessary? Let's write a Python program to solve it. | tiger_lab_math | [
0.01154265832155943,
0.023623598739504814,
-0.05575210228562355,
-0.013756437227129936,
0.03330589085817337,
-0.012759060598909855,
-0.02279527299106121,
0.02753358520567417,
0.04017040506005287,
-0.012865926139056683,
0.022781992331147194,
0.03126196935772896,
-0.020258182659745216,
-0.01... | 0.810447 | 0.809794 | 0.000653 |
at what rate percent of simple interest will a sum of money double itself in 44 years ? Please respond by writing a program in Python. | tiger_lab_math | [
0.004190411884337664,
0.03175735846161842,
-0.031139837577939034,
-0.038357481360435486,
0.026846958324313164,
-0.018561463803052902,
-0.015173663385212421,
0.06146053597331047,
0.03670891746878624,
-0.03022962063550949,
0.02579396218061447,
0.019715407863259315,
-0.03147175535559654,
-0.0... | 0.798212 | 0.821737 | -0.023524 |
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