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 |
|---|---|---|---|---|---|
James buys a weight vest for $250. He then buys 200 pounds of weight plates for $1.2 per pound. A 200-pound weight vest would cost $700 but there is a $100 discount. How much does he save with his vest? | tiger_lab_math | [
0.023403577506542206,
0.02818850800395012,
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0.022510387003421783,
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0.06240452826023102,
0.04089856892824173,
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0.0030163992196321487,
0.03089539147913456,
-0.0524129644036293,
-0.0... | 0.783113 | 0.798659 | -0.015546 |
"statement 1": Lilly has 10 fish and Rosy has 11 fish, "statement 2" :Lilly has less than 70 fish and Rosy has 11 fish, "options: " Entailment or contradiction or neutral? Let's write a program. | tiger_lab_math | [
0.014534685760736465,
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0.015041101723909378,
0.03863111510872841,
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-0.... | 0.795077 | 0.81019 | -0.015113 |
What is the least four-digit whole number that is both a perfect square and a perfect cube? Let's write a Python program to solve it. | tiger_lab_math | [
0.0014431325253099203,
0.03736737370491028,
-0.04238373041152954,
-0.039982326328754425,
0.05211680382490158,
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0.02452961727976799,
0.04537593200802803,
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0.02442261576652527,
0.03244972601532936,
-0.008229401893913746,
-0.020... | 0.818629 | 0.823679 | -0.005051 |
The ratio of the present ages of a man and his wife is 8 : 7. Which of the following can't be a possible ratio of their ages 45 years ago?
Answer Choices: (A) 6: 8 (B) 7: 8 (C) 8:8 (D) 9: 8 (E) 10: 8 | tiger_lab_math | [
0.043501757085323334,
0.018046613782644272,
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0.05114053189754486,
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0.08008883893489838,
0.03993596136569977,
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0.018516790121793747,
0.02912255749106407,
-0.037129271775484085,
-0.01... | 0.807124 | 0.833486 | -0.026362 |
3x<2y<0 which of the following is the greatest?
Answer Choices: (A) 2x+3y (B) - (3x+y) (C) 2x-y (D) x+y (E) 0 | tiger_lab_math | [
0.043741051107645035,
0.023914555087685585,
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0.039344076067209244,
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0.059957947582006454,
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0.02396722510457039,
0.05210329592227936,
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-0.... | 0.816663 | 0.839938 | -0.023275 |
Winnie has 17 red balloons, 33 white balloons, 65 green balloons, and 83 chartreuse balloons. With no regard to color, Winnie gives each of her 8 nearest and dearest friends some balloons. Each friend gets the same number of balloons and she hands out as many balloons as possible. How many balloons does Winnie end u... | tiger_lab_math | [
0.0019266796298325062,
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0.021420646458864212,
0.043891921639442444,
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-0... | 0.818932 | 0.819761 | -0.000829 |
a man buys an article for $ 10 . and sells it for $ 15 . find the gain percent ? Please respond by writing a program in Python. | tiger_lab_math | [
0.01268330030143261,
0.026115065440535545,
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0.04752899706363678,
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0.05740562453866005,
0.029286477714776993,
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0.010512115433812141,
0.03904993087053299,
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-0.0164... | 0.797402 | 0.818706 | -0.021304 |
In a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 13.33 hours a day, the number of men required is:
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 8 (E) 9 | tiger_lab_math | [
0.03259110078215599,
0.013919543474912643,
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0.04531802982091904,
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0.061050187796354294,
0.024282332509756088,
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0.0015449617058038712,
0.04250223934650421,
-0.019859766587615013,
-0... | 0.797552 | 0.818492 | -0.020941 |
A room is 8 meters 16 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
Answer Choices: (A) 107 (B) 153 (C) 178 (D) 198 (E) 165 | tiger_lab_math | [
0.0233754999935627,
0.015274612233042717,
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0.05056362599134445,
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0.02243516966700554,
0.03976838290691376,
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-0.023560... | 0.821249 | 0.840464 | -0.019215 |
Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour? Please write a program to solve it | tiger_lab_math | [
0.028343934565782547,
0.04887036979198456,
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0.037140246480703354,
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0.008596261031925678,
0.03301083669066429,
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-0.01864... | 0.820229 | 0.828935 | -0.008706 |
If Benjamin skated at 80.0 kilometers per hour, how far would Benjamin skate in 10 hours. Please respond by writing a program in Python. | tiger_lab_math | [
0.020314447581768036,
0.012378406710922718,
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0.014429551549255848,
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0.05220907926559448,
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-0... | 0.785247 | 0.808886 | -0.02364 |
Simplify the logarithmic expression: $\log_3(9) + \log_3(27) - \log_3(81)$. | tiger_lab_math | [
-0.00783626176416874,
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0.023260165005922318,
0.0185278058052063,
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-0.0292... | 0.829018 | 0.850085 | -0.021068 |
Suppose $f$ is a smooth function on a compact, connected, oriented manifold $M$ and $p_i$ are non-degenerate critical points of Morse index $i$. Let $N_{i,j}$ denote the number of connecting orbits between the critical points $p_i$ and $p_j$ of indices $i$ and $j$ respectively. If $M$ is a 2-dimensional torus and $f$ h... | tiger_lab_math | [
0.029590632766485214,
0.04365779086947441,
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0.0035563369747251272,
0.031055783852934837,
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-0... | 0.833816 | 0.808295 | 0.025521 |
Let GCF(a, b) be the abbreviation for the greatest common factor of a and b, and let LCM(c, d) be the abbreviation for the least common multiple of c and d. What is GCF(LCM(8, 14), LCM(7, 12))? Let's write a Python program to solve it. | tiger_lab_math | [
0.0025785390753299,
0.030111566185951233,
-0.03463098034262657,
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0.05138877406716347,
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0.034473516047000885,
0.017763113602995872,
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0.004035150166600943,
0.02520793490111828,
-0.00943740177899599,
-0.008... | 0.807725 | 0.816996 | -0.009271 |
4 numbers are in the ratio 2 : 3 : 4 : 5 add up to give a sum of 1344 . find the biggest number . Let's write a Python program to solve it. | tiger_lab_math | [
0.033457573503255844,
0.028243696317076683,
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0.03880460560321808,
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0.04539376124739647,
0.026537621393799782,
0.010802418924868107,
0.038442306220531464,
0.04879961162805557,
-0.03829561173915863,
0.001... | 0.810974 | 0.828068 | -0.017094 |
what is the least number which when divided by 6 , 7 , 9 and 18 leaves remainder 4 in each care ? Let's write a program. | tiger_lab_math | [
0.019443485885858536,
0.024675799533724785,
-0.03843652456998825,
-0.04548553004860878,
0.04100745543837547,
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-0.026945633813738823,
0.04226210340857506,
0.03385644033551216,
-0.02497466839849949,
0.024873794987797737,
0.03727396950125694,
-0.031132541596889496,
-0.01... | 0.811824 | 0.842717 | -0.030893 |
Given a function f(x,y) = x^2 - 20x + y^2 - 10y + 100, find the minimum value of the function using the simulated annealing method. The search domain for x and y is [-10, 10]. | tiger_lab_math | [
0.013845172710716724,
0.01688852347433567,
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0.044413819909095764,
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0.06369885057210922,
0.0456806905567646,
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0.010102787055075169,
0.03780634328722954,
-0.02753964252769947,
0.0008977... | 0.814864 | 0.826735 | -0.011871 |
Jenna is adding black dots to a bunch of white blouses. Each blouse gets 20 dots, and each dot takes 10 ml of black dye. How many 400-ml bottles of dye does Jenna need to buy to dye 100 blouses? Let's write a Python program. | tiger_lab_math | [
0.011336683295667171,
0.027594318613409996,
-0.05518898367881775,
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0.030860941857099533,
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0.04126119986176491,
0.04689781367778778,
-0.013369635678827763,
0.011901315301656723,
0.042745914310216904,
-0.02646568976342678,
-0.00... | 0.79745 | 0.812854 | -0.015404 |
If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (3x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 ) is an odd negative integer
Answer Choices: (A) I only (B) II only (C) I (D) I and III (E) II and III | tiger_lab_math | [
0.028006210923194885,
0.019041532650589943,
-0.021494820713996887,
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0.040502943098545074,
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0.0677465870976448,
0.05417224019765854,
-0.0285437423735857,
0.026622073724865913,
0.026868795976042747,
-0.03766344487667084,
-0.03... | 0.822819 | 0.832607 | -0.009788 |
"statement 1": A restaurant serves 6.0 cakes during lunch and 9.0 during dinner today., "statement 2" :3.0 more cakes are served during dinner than lunch, "options: " Entailment or contradiction? Please respond by writing a program in Python. | tiger_lab_math | [
0.014036805368959904,
0.026444729417562485,
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0.03934183344244957,
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0.07267927378416061,
0.03531423211097717,
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0.02744092233479023,
0.043612346053123474,
-0.04307929053902626,
-0.005... | 0.801898 | 0.811411 | -0.009512 |
Pablo likes to put together jigsaw puzzles. He can put together an average of 100 pieces per hour. He has eight puzzles with 300 pieces each and five puzzles with 500 pieces each. If Pablo only works on puzzles for a maximum of 7 hours each day, how many days will it take him to complete all of his puzzles? | tiger_lab_math | [
0.025903651490807533,
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0.021273409947752953,
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0.032659195363521576,
0.014310365542769432,
0.003652149112895131,
0.016018083319067955,
0.0076931556686758995,
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... | 0.789053 | 0.798291 | -0.009238 |
in triangle pqr , the angle q = 90 degree , pq = 2 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz ? Let's write a program. | tiger_lab_math | [
0.021166956052184105,
0.01744401827454567,
-0.0380985289812088,
-0.03940458595752716,
0.030311603099107742,
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0.051397308707237244,
0.04534991458058357,
-0.017235562205314636,
0.024281801655888557,
0.03920343518257141,
-0.017411377280950546,
-0.01... | 0.830648 | 0.821989 | 0.008659 |
Use Stoke's Theorem to evaluate $\iint_S curl \vec{F} \cdot d \vec{r}$ where $\vec{F} = z^2 \vec{i} - 3xy \vec{j} + x^3y^3 \vec{k}$ and $S$ is the part of $z = 5 - x^2 - y^2$ above the plane $z$=1. Assume that S is oriented upwards. Let's program in Python in the response. | tiger_lab_math | [
0.016259387135505676,
0.03858145326375961,
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0.03518456220626831,
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0.04595243185758591,
0.021953128278255463,
0.0007963877287693322,
0.024750377982854843,
0.038369812071323395,
-0.026166900992393494,
-0.... | 0.832107 | 0.818646 | 0.01346 |
What is the product of all the possible values of x if x^2 - 2x - 8?
Answer Choices: (A) –29 (B) –12 (C) -8 (D) 29 (E) 168 | tiger_lab_math | [
0.024696266278624535,
0.010781548917293549,
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0.04736414551734924,
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0.013914735987782478,
0.058725181967020035,
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-0.06... | 0.816094 | 0.842727 | -0.026633 |
Company workers decided to raise Rs. 3 lakhs by equal contribution from each. Had they contributed Rs. 50 each extra, the contribution would have been Rs. 3.25 lakhs. How many workers were they?
Answer Choices: (A) 300 (B) 400 (C) 500 (D) 600 (E) 700 | tiger_lab_math | [
0.011843052692711353,
0.012678221799433231,
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0.03318614885210991,
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0.05814744532108307,
0.02831944450736046,
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0.030451055616140366,
0.029370799660682678,
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-0.0... | 0.795904 | 0.81839 | -0.022486 |
a $ 500 investment and a $ 1,500 investment have a combined yearly return of 16 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ? Let's write a Python program to solve it. | tiger_lab_math | [
0.009619099088013172,
0.016180457547307014,
-0.05469701439142227,
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0.04850216954946518,
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0.07005296647548676,
0.02663774974644184,
0.011968671344220638,
0.021656181663274765,
0.03864755854010582,
-0.026141464710235596,
-0.0215... | 0.785961 | 0.803869 | -0.017908 |
Mohan's salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?
Answer Choices: (A) 8789 (B) 7500 (C) 8392 (D) 8390 (E) 2804 | tiger_lab_math | [
0.0009071554522961378,
0.030588557943701744,
-0.03641887754201889,
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0.04688132926821709,
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0.038505055010318756,
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0.026153208687901497,
0.005221034865826368,
-0.05611447989940643,
-0.... | 0.795014 | 0.829629 | -0.034614 |
When the positive integer a is divided by 11, the quotient is b and the remainder 3. When a is divided by 19, the remainder is also 3. What is the remainder when b is divided by 19?
Answer Choices: (A) 4 (B) 3 (C) 2 (D) 1 (E) 0 | tiger_lab_math | [
0.04891850799322128,
0.0005781546933576465,
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0.04532628133893013,
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0.05681801587343216,
0.05280429497361183,
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0.026823021471500397,
0.048078592866659164,
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-0.0161... | 0.815385 | 0.83659 | -0.021205 |
A particle has a wave function
$\psi(x) = 2x(3-2x)$
in a one-dimensional quantum well, given by the Schrödinger equation
$\frac{-\hbar^2}{2m}\frac{\partial^2\psi}{\partial x^2} + V(x)\psi = E\psi$.
If the potential energy inside the well is $V(x) = 0$ and the particle's mass is $m = 9.11 \times 10^{-31}$ kg, wh... | tiger_lab_math | [
0.024637332186102867,
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0.027124552056193352,
0.03575320541858673,
-0.03258825093507767,
-0.04... | 0.79294 | 0.80426 | -0.011321 |
Alice has chosen a random prime number p=23 and a primitive root of p g=5. She wants to send a secret message to Bob using the Diffie-Hellman key exchange protocol. Alice chose a secret key a=6 and calculated A=g^a (mod p). Similarly, Bob chose a secret key b=15 and calculated B=g^b (mod p). What is the shared secret k... | tiger_lab_math | [
0.031051067635416985,
0.05226053297519684,
-0.03497381508350372,
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0.026644399389624596,
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0.0027285832911729813,
0.03490668907761574,
0.02888539619743824,
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0.03114922158420086,
0.009231659583747387,
-0.03927714005112648,
-0.026... | 0.820856 | 0.820623 | 0.000234 |
Two couples and one single person are seated at random in a row of five chairs. What is the probability that neither of the couples sits together in adjacent chairs?
Answer Choices: (A) 1/5 (B) 1/4 (C) 3/8 (D) 2/5 (E) 1/2 | tiger_lab_math | [
0.015242787078022957,
0.02151178941130638,
-0.03816382586956024,
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0.04395163431763649,
-0.01970345340669155,
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0.050698649138212204,
0.04323023185133934,
-0.009290198795497417,
0.015726635232567787,
0.014257235452532768,
-0.005269363988190889,
-0.... | 0.812199 | 0.827436 | -0.015237 |
Tom hasn't been sleeping well lately. He figures he has been getting about 5 hours of sleep each weeknight and 6 hours each night on the weekend. If Tom would ideally like to get 8 hours of sleep each night on both weeknights and weekends, how many hours of sleep is Tom behind on from the last week? | tiger_lab_math | [
0.03136913478374481,
0.025950077921152115,
-0.045324862003326416,
-0.03936787694692612,
0.023549344390630722,
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0.04836997762322426,
0.011959264986217022,
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0.03168204054236412,
0.022398240864276886,
-0.05824839696288109,
-0.041... | 0.787119 | 0.8095 | -0.022381 |
What is the minimum value of the function f(x)=|x+3| - 2 on the interval [-5, 2]? | tiger_lab_math | [
0.010674781166017056,
0.012550722807645798,
-0.06588468700647354,
-0.03683152794837952,
0.0361676923930645,
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0.050753965973854065,
0.030769487842917442,
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0.021080251783132553,
0.03368145599961281,
-0.004094238858669996,
-0.0... | 0.803124 | 0.835972 | -0.032849 |
The cost of registration at a professional association meeting was $50 per person; a lunch for registrants only was available for an additional $22 per person. If the number of registrants who paid for lunch was 40 more than the number who did not, and if receipts for registration and lunch totaled $39,480, how many pe... | tiger_lab_math | [
0.028767209500074387,
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0.010561342351138592,
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0.039978235960006714,
0.04883876442909241,
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0.02726232260465622,
0.005480547901242971,
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... | 0.785935 | 0.806121 | -0.020186 |
boy sells a book for rs . 450 he gets a loss of 10 % , to gain 10 % , at price he should sell ? Please write a program to solve it | tiger_lab_math | [
0.006531699560582638,
0.014134432189166546,
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0.0300094336271286,
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0.05765342712402344,
0.0409029945731163,
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0.014745492488145828,
0.03682439401745796,
-0.04504425451159477,
-0.015... | 0.817469 | 0.833063 | -0.015594 |
What is the smallest Lyapunov exponent of the Lorenz equations for a weather system when $σ=10, b=8/3,$ and the initial conditions are $x_0=1, y_0=1,$ and $z_0=20$? | tiger_lab_math | [
-0.01632230542600155,
0.024239355698227882,
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0.03834758698940277,
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0.06325895339250565,
0.02775493636727333,
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0.0052235908806324005,
0.023675521835684776,
-0.03644349426031113,
-0.019... | 0.816288 | 0.832924 | -0.016637 |
A sphere is inscribed in a cube of side length 6 cm. Find the volume of the sphere. | tiger_lab_math | [
0.012337634339928627,
0.04330204799771309,
-0.03326161950826645,
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0.04167168587446213,
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0.04276703670620918,
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0.027496693655848503,
0.035579681396484375,
0.005168324336409569,
-0.01... | 0.793575 | 0.805244 | -0.011669 |
In Sam's first 100 matches he won 50% of matches. In his next 100 games, he won 60% of matches. How many total matches did he win? Let's write a program. | tiger_lab_math | [
0.012069668620824814,
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-0.04157674312591553,
-0.02269819751381874,
0.021719323471188545,
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0.050752174109220505,
0.041119784116744995,
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0.024732723832130432,
0.03730909526348114,
-0.04439801722764969,
-... | 0.8078 | 0.814232 | -0.006432 |
Barkley gets 10 new dog bones at the beginning of the month. After 5 months, he has 8 bones available and has buried the rest. How many bones has he buried? | tiger_lab_math | [
0.0208762027323246,
-0.003908990882337093,
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0.019332122057676315,
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0.007472180295735598,
0.0460934117436409,
-0.04443063959479332,
-0.01... | 0.80031 | 0.823408 | -0.023098 |
Passage: The distribution pattern in the 2002 census was similar to those of the 1980 and 1991 censuses, but the share of the two main groups has declined. Indo-Guyanese made up 51.9% of the total population in 1980, but by 1991 this had fallen to 48.6%, and then to 43.5% in the 2002 census. Those of African descent in... | tiger_lab_math | [
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0.0281926728785038,
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0.029226167127490044,
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0.05310935899615288,
0.04493660107254982,
0.017004314810037613,
0.027427805587649345,
0.0024987277574837208,
-0.044785287231206894,
0.005... | 0.753527 | 0.77197 | -0.018444 |
Consider a closed surface in a three-dimensional space with a genus of 2. Determine the dimension of the second De Rham cohomology group of this surface. | tiger_lab_math | [
0.030925696715712547,
0.03190041705965996,
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0.026609662920236588,
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0.05952857807278633,
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0.01850883662700653,
0.04336177185177803,
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0.0031... | 0.822102 | 0.811309 | 0.010793 |
Two pipes P and Q can fill a tank in 5 hours and 6 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
Answer Choices: (A) 4 hours 20 min (B) 2 hours 44 min (C) 3 hours 50 min (D) 3 hours 22 min (E) 3 hours 42 min | tiger_lab_math | [
0.012300548143684864,
0.02726619876921177,
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0.03130742162466049,
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0.06028370186686516,
0.030716797336935997,
0.004510772880166769,
0.038139354437589645,
0.03182942047715187,
-0.017616288736462593,
-0.02... | 0.795374 | 0.816093 | -0.020719 |
Eduardo is a teacher. He taught 3 classes last week while his colleague Frankie taught double what Eduardo teaches. How many classes did Eduardo and Frankie teach in total? | tiger_lab_math | [
0.012067618779838085,
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0.021879715844988823,
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0.04866182804107666,
0.019141264259815216,
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0.02661827765405178,
0.025639962404966354,
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-0... | 0.790215 | 0.81224 | -0.022025 |
A feed shop sells two varieties of birdseed: Product A, which is 40% millet and 60% sunflower, and Product B, which is 65% millet and 35% safflower. If a customer purchases a mix of the both types of birdseed that is 50% millet, what percent of the mix is Product A?
Answer Choices: (A) 50% (B) 55% (C) 60% (D) 40% (E) 4... | tiger_lab_math | [
0.01979915052652359,
0.004816691391170025,
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0.030554208904504776,
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0.07973388582468033,
0.05550927296280861,
0.005556086543947458,
0.002230267273262143,
0.03527599200606346,
-0.0479482039809227,
-0.0134... | 0.790167 | 0.808955 | -0.018789 |
In a 50-question test with two marks for each question, Meghan learned that she scored 20 marks less than her friend Jose, who scored 40 more marks than their friend Alisson. Calculate the total score for the three in the test combined if Jose got 5 questions wrong? Please respond by writing a program in Python. | tiger_lab_math | [
0.03844328597187996,
0.004544303752481937,
-0.05999992787837982,
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0.039101630449295044,
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0.04533079266548157,
0.013570334762334824,
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0.014510175213217735,
-0.044151660054922104,
-... | 0.806918 | 0.821143 | -0.014225 |
Karen works at an animal shelter with 30 dogs, 28 cats, and 20 lizards. Every month, 50% of the dogs are adopted, 25% of the cats are adopted, and 20% of lizards are adopted. If the shelter takes in 13 new pets a month, how many pets are there after one month? | tiger_lab_math | [
0.004027056973427534,
0.016800493001937866,
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0.03350437059998512,
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0.040079932659864426,
0.027626916766166687,
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0.017065636813640594,
0.034998636692762375,
-0.05039122328162193,
-0.... | 0.79031 | 0.805643 | -0.015333 |
Solve
\[\sqrt{1 + \sqrt{2 + \sqrt{x}}} = \sqrt[3]{1 + \sqrt{x}}.\] | tiger_lab_math | [
0.038249704986810684,
0.04902086406946182,
-0.024186378344893456,
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0.03348228707909584,
-0.022867964580655098,
-0.011054741218686104,
0.0588679201900959,
0.05986110121011734,
-0.01895398087799549,
0.01682884991168976,
0.02173420414328575,
-0.03282373026013374,
-0.04539... | 0.827772 | 0.820633 | 0.007138 |
The speed of light is approximately 1,86 * 10^4 miles per second. This approximate speed is how many miles per hour?
Answer Choices: (A) 1,11 * 10^7 (B) 6,70 * 10^7 (C) 1,11 * 10^8 (D) 1,86 * 10^8 (E) 6,70 * 10^8 | tiger_lab_math | [
0.03433549776673317,
0.033387068659067154,
-0.001175415818579495,
-0.02279089018702507,
0.03660731390118599,
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-0.05888254940509796,
0.061105962842702866,
0.0569739006459713,
-0.02074643038213253,
0.02044566534459591,
0.003918135538697243,
-0.013064243830740452,
-0.044... | 0.793326 | 0.828317 | -0.034991 |
10 men can prepare 20 toys in 12 days working 15 hours a day. Then in how many days can 24 men prepare 32 toys working 20 hrs a day?
Answer Choices: (A) 4 days (B) 10 days (C) 20 days (D) 25 days (E) 26 days | tiger_lab_math | [
0.03969961404800415,
0.020397083833813667,
-0.034747447818517685,
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0.03477103263139725,
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0.059985797852277756,
0.026490343734622,
-0.021928325295448303,
0.00643659383058548,
0.045024629682302475,
-0.022436609491705894,
-0.0387... | 0.788468 | 0.820981 | -0.032513 |
Dan can do a job alone in 15 hours. Annie, working alone, can do the same job in just 10 hours. If Dan works alone for 12 hours and then stops, how many hours will it take Annie, working alone, to complete the job?
Answer Choices: (A) 2 (B) 4 (C) 6 (D) 8 (E) 10 | tiger_lab_math | [
0.027683129534125328,
0.02684697136282921,
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0.025398489087820053,
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-0.02852853573858738,
0.07081298530101776,
0.019802667200565338,
-0.00006232437590369955,
0.016471046954393387,
0.0300616268068552,
-0.025788387283682823,
-0... | 0.801422 | 0.825931 | -0.024509 |
aa is two digit number then m times its cube of aa has 1 in its tens place then what is m . Let's write a program. | tiger_lab_math | [
0.05192520469427109,
0.028786003589630127,
-0.0344088152050972,
-0.03170345723628998,
0.05365455895662308,
-0.02490319311618805,
-0.03798173740506172,
0.0630401223897934,
0.040501173585653305,
-0.019827382639050484,
0.007607080042362213,
0.04258444905281067,
-0.033167850226163864,
-0.01659... | 0.822145 | 0.831997 | -0.009852 |
Passage: Despite losing key members of their bench during the offseason (including Okur, Mike James (basketball, born 1975) and Corliss Williamson), the 2004-05 Detroit Pistons season were considered a strong contender to win a second consecutive title in 2005. They won 54 games during the 2004-05 NBA season, their fou... | tiger_lab_math | [
0.026360880583524704,
0.01422366127371788,
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0.03936167433857918,
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0.032668352127075195,
0.04421072080731392,
0.007510703057050705,
0.010149979963898659,
0.034148167818784714,
-0.037732239812612534,
0.00... | 0.765739 | 0.787524 | -0.021785 |
a sum of money becomes 7 / 6 of itself in 2 years at a certain rate of simple interest . the rate per annum is ? Let's program in Python in the response. | tiger_lab_math | [
0.019346781075000763,
0.032557833939790726,
-0.04204164072871208,
-0.029177311807870865,
0.031775616109371185,
-0.028431134298443794,
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0.059953171759843826,
0.027989372611045837,
-0.024137059226632118,
0.023030273616313934,
0.01812828704714775,
-0.03402542695403099,
0... | 0.812351 | 0.826326 | -0.013975 |
average of money that group of 4 friends pay for rent each month is $ 800 . after one persons rent is increased by 16 % the new mean is $ 850 . what was original rent of friend whose rent is increased ? Let's write a Python program to solve it. | tiger_lab_math | [
0.0268118716776371,
0.02997445873916149,
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0.03700713440775871,
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0.045431431382894516,
0.027968069538474083,
-0.010486998595297337,
0.02716558799147606,
0.011373940855264664,
-0.05172910541296005,
-0.0300... | 0.807163 | 0.816411 | -0.009248 |
Renaldo drove 15 kilometers. Ernesto drove 7 kilometers more than one-third of Renaldo's distance. How many kilometers did the 2 men drive in total? Let's program in Python in the response. | tiger_lab_math | [
0.024218115955591202,
0.021779973059892654,
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0.030144674703478813,
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0.04837419465184212,
0.02063179761171341,
-0.03891574218869209,
0.02108146995306015,
0.03703209385275841,
-0.03506075218319893,
-0.0063... | 0.79957 | 0.8171 | -0.017529 |
boy sells a book for rs . 810 he gets a loss of 10 % , to gain 10 % , what should be the sp ? Please respond by writing a program in Python. | tiger_lab_math | [
0.0038141447585076094,
0.011756088584661484,
-0.05284620821475983,
-0.026747163385152817,
0.02613138221204281,
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0.04926995560526848,
0.032960519194602966,
-0.013887392356991768,
0.012244148179888725,
0.04030372574925423,
-0.05055037885904312,
-0.... | 0.806195 | 0.83027 | -0.024075 |
In a zoo, a hare is 14 inches tall, while a camel is 24 times taller than the hare. How tall is the camel in feet? | tiger_lab_math | [
0.01992579735815525,
0.029045969247817993,
-0.03523458540439606,
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0.03336590528488159,
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0.03370748460292816,
0.03200908750295639,
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0.021528316661715508,
0.028856344521045685,
-0.04484568536281586,
-0.00... | 0.792409 | 0.816996 | -0.024587 |
you and your friend spent a total of $ 11 for lunch . your friend spent $ 3 more than you . how much did your friend spend on their lunch ? Please write a program to solve it | tiger_lab_math | [
0.022545067593455315,
0.0030256961472332478,
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0.024050379171967506,
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0.03902242332696915,
0.04470408707857132,
-0.03612295910716057,
0.03735082596540451,
0.036945827305316925,
-0.060566194355487823,
-0... | 0.823205 | 0.838938 | -0.015733 |
Compute $\begin{pmatrix} 1 & -1 \\ 1 & 0 \end{pmatrix}^3.$ | tiger_lab_math | [
0.03333102911710739,
0.045155808329582214,
-0.030340049415826797,
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0.04931161180138588,
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0.0668230950832367,
0.03968771919608116,
-0.019859327003359795,
0.015229221433401108,
0.021994242444634438,
-0.051817454397678375,
-0.05... | 0.821739 | 0.835022 | -0.013283 |
How many positive factors of 96 are also multiples of 12? Let's program in Python in the response. | tiger_lab_math | [
-0.0034557331819087267,
0.003990751691162586,
-0.042218178510665894,
-0.022360799834132195,
0.03602049499750137,
-0.02832380309700966,
-0.017568955197930336,
0.029246093705296516,
0.02443293295800686,
-0.020790038630366325,
0.015639731660485268,
0.06252175569534302,
-0.03383519500494003,
-... | 0.797322 | 0.818732 | -0.02141 |
Two trains 180 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Answer Choices: (A) 10.24 sec (B) 18.8 sec (C) 14.24 sec (D) 12.24 sec (E) 11.84 sec | tiger_lab_math | [
0.02981417439877987,
0.01832677610218525,
-0.01794963702559471,
-0.028554001823067665,
0.03782891109585762,
-0.03616129979491234,
-0.03684445470571518,
0.05691969767212868,
0.0447203703224659,
-0.02785993553698063,
0.014187866821885109,
0.01807994768023491,
-0.012098288163542747,
-0.016595... | 0.793608 | 0.825537 | -0.03193 |
Let A, B, and C be matrices of order 3x3. Suppose that A and B are invertible matrices and C is a matrix such that AB = C. Which of the following is the inverse of matrix C? Answer Choices: (A) B⁻¹A⁻¹ (B) A⁻¹B⁻¹ (C) AB⁻¹ (D) BA⁻¹, | tiger_lab_math | [
0.04097326472401619,
0.026254137977957726,
-0.034078747034072876,
-0.02714707888662815,
0.05017431452870369,
-0.035127192735672,
-0.01234066765755415,
0.06371980905532837,
0.046737223863601685,
-0.00601157546043396,
0.015983762219548225,
0.0244760662317276,
-0.04786721244454384,
-0.0257141... | 0.818113 | 0.821761 | -0.003648 |
To raise funds for her local soup kitchen, Didi enlisted the help of her family, friends, and neighbors. They donated 10 same-size cakes that she sliced into 8 slices per cake and started selling a slice for $1. A local business owner was so impressed by Didi's efforts that she offered to donate 50 cents for each slice... | tiger_lab_math | [
0.0009640270145609975,
0.023929936811327934,
-0.02704751305282116,
-0.03193000704050064,
0.01219921838492155,
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-0.02550671249628067,
0.04690016806125641,
0.033879272639751434,
-0.012702913023531437,
0.025420015677809715,
0.0211802925914526,
-0.05824188143014908,
-0.02... | 0.80406 | 0.796254 | 0.007806 |
What is the largest four-digit number that is divisible by 4? Let's program in Python in the response. | tiger_lab_math | [
0.010515175759792328,
0.03084484301507473,
-0.023139679804444313,
-0.04335496202111244,
0.04166525602340698,
-0.02708028070628643,
-0.03046751581132412,
0.0315304771065712,
0.04413728043437004,
-0.017139608040452003,
0.033425472676754,
0.03424237668514252,
-0.018775666132569313,
-0.0037065... | 0.787821 | 0.81466 | -0.026839 |
In the exam the average was found to be p mark. After deducting typographical error the average marks of 104 student reduced from 94 to 64 . Due to this the average came down by 16 marks. What was the number of students who took the exam?
Answer Choices: (A) 100 (B) 120 (C) 110 (D) 195 (E) 160 | tiger_lab_math | [
0.01743907853960991,
-0.0002747871039900929,
-0.023695077747106552,
-0.04359157755970955,
0.04512425512075424,
-0.0474730059504509,
-0.030365461483597755,
0.07260393351316452,
0.0464925616979599,
-0.001629488542675972,
0.012700914405286312,
0.013149646110832691,
-0.023915763944387436,
-0.0... | 0.791819 | 0.81974 | -0.027922 |
Two sisters go to the movies. Movie tickets are $8 per person. If the sisters brought $25 with them, how much change will they receive after buying the tickets? | tiger_lab_math | [
0.009191607125103474,
0.01779753901064396,
-0.048889294266700745,
-0.021804900839924812,
0.028537895530462265,
-0.024157332256436348,
-0.023124564439058304,
0.05010847747325897,
0.03218570724129677,
-0.005597262643277645,
0.006836120504885912,
0.014195493422448635,
-0.041343316435813904,
-... | 0.791027 | 0.815579 | -0.024552 |
A two-player zero-sum game has the following payoff matrix:
| | Player 2- Heads | Player 2- Tails |
|---|---|---|
| **Player 1- Heads** | 3 | -2 |
| **Player 1- Tails** | -1 | 4 |
Find the optimal strategies for both players and the value of the game. | tiger_lab_math | [
0.013927587307989597,
0.0219016894698143,
-0.050185322761535645,
-0.0223102904856205,
0.02982005849480629,
-0.0016305649187415838,
-0.009564503096044064,
0.05199502035975456,
0.03206411749124527,
-0.040831319987773895,
0.027529755607247353,
0.026487145572900772,
-0.028490792959928513,
-0.0... | 0.824724 | 0.815445 | 0.009279 |
A wheel that has 14cogs is meshed with a larger wheel of 28cogs. When the smaller wheel has made 20evolutions, then the number of revolutions mad by the larger wheel is:
Answer Choices: (A) 20 (B) 11 (C) 12 (D) 10 (E) 15 | tiger_lab_math | [
0.03989085927605629,
0.016770517453551292,
-0.01646237075328827,
-0.03154357150197029,
0.049882672727108,
-0.021087612956762314,
-0.04793108254671097,
0.054429791867733,
0.020409181714057922,
-0.0012002853909507394,
0.014708240516483784,
0.033249400556087494,
-0.019935429096221924,
-0.0214... | 0.811967 | 0.83058 | -0.018613 |
How many diagonals can be drawn for a hexagon? | tiger_lab_math | [
0.008878662250936031,
0.0243648961186409,
-0.03392568975687027,
-0.038151245564222336,
0.013283558189868927,
-0.029164383187890053,
-0.029971059411764145,
0.037687234580516815,
0.028029223904013634,
-0.037717439234256744,
0.001870016916655004,
0.04686165601015091,
-0.011825433932244778,
-0... | 0.783833 | 0.803933 | -0.0201 |
Compute $54 \times 46$ in your head. | tiger_lab_math | [
0.025212561711668968,
0.01556753646582365,
-0.008358340710401535,
-0.03364747390151024,
0.04452022537589073,
-0.02066657319664955,
-0.012835840694606304,
0.051937997341156006,
0.057112060487270355,
-0.014457437209784985,
0.036414217203855515,
0.02541922591626644,
-0.042837150394916534,
-0.... | 0.812744 | 0.841121 | -0.028377 |
In a stack of cards, 11 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 5/6 . What is the number of cards in the stack?
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 15 (E) 18 | tiger_lab_math | [
0.017008719965815544,
0.009323125705122948,
-0.0412035770714283,
-0.028384273871779442,
0.04624605551362038,
-0.027501655742526054,
-0.03232678398489952,
0.06300683319568634,
0.03558836504817009,
-0.011308766901493073,
0.010917558334767818,
0.03826885297894478,
-0.02898290567100048,
-0.010... | 0.808008 | 0.817808 | -0.0098 |
If k is an integer and 2 < k < 8, for how many different values of k is there a triangle with sides of lengths 3, 6, and k?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 | tiger_lab_math | [
0.02694585919380188,
0.021319663152098656,
-0.015638448297977448,
-0.022203415632247925,
0.04299420863389969,
-0.035146038979291916,
-0.018189402297139168,
0.03835288807749748,
0.03843887150287628,
-0.016794923692941666,
0.030174966901540756,
0.05604417994618416,
-0.022226830944418907,
-0.... | 0.829113 | 0.845983 | -0.01687 |
Austin receives $5 for every hour he helps his father build a deck in their backyard. He works for 2 hours on Mondays, an hour on Wednesdays, and 3 hours on Fridays. If Austin wants to buy a bicycle that costs $180, how many weeks does he have to work? Please write a program to solve it | tiger_lab_math | [
0.02898421138525009,
0.016015568748116493,
-0.04910461977124214,
-0.02597586251795292,
0.03159337863326073,
-0.019151389598846436,
-0.02489042840898037,
0.05420699343085289,
0.03493702411651611,
-0.009342387318611145,
0.03474405035376549,
0.04001760855317116,
-0.013948068022727966,
-0.0177... | 0.816602 | 0.82711 | -0.010509 |
A 12 lt solution is 33 1/3% acid. How much water must be added to get the solution having 20 % acid.
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 7 (E) 5 | tiger_lab_math | [
0.01269864197820425,
0.013438592664897442,
-0.029316816478967667,
-0.034450117498636246,
0.04436845704913139,
-0.06864625960588455,
-0.015119239687919617,
0.06838814169168472,
0.021975960582494736,
-0.001403865055181086,
0.020442310720682144,
0.04054742306470871,
-0.042514413595199585,
-0.... | 0.789566 | 0.824982 | -0.035417 |
Compute $\arcsin \left( -\frac{\sqrt{3}}{2} \right).$ Express your answer in radians. | tiger_lab_math | [
0.017860013991594315,
0.035612743347883224,
-0.04077506810426712,
-0.030002009123563766,
0.036245256662368774,
-0.017386510968208313,
-0.017306450754404068,
0.037159331142902374,
0.05069901794195175,
-0.011170507408678532,
0.045024629682302475,
0.03220541775226593,
-0.022478103637695312,
-... | 0.833347 | 0.845727 | -0.01238 |
The temperature of a certain cup of coffee 2 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F = 120*2^(-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 30 minutes... | tiger_lab_math | [
0.06290069222450256,
0.0005206813220866024,
-0.02500837668776512,
-0.029372794553637505,
0.020168183371424675,
-0.05313488841056824,
-0.029551325365900993,
0.07198738306760788,
0.040212247520685196,
-0.02322598360478878,
0.021030468866229057,
0.024400269612669945,
-0.03194011375308037,
-0.... | 0.79735 | 0.82883 | -0.03148 |
A box contain 7 one rupee coins and 5 ten rupee coins.A coin is drawn at random.What is the probability that the coin drawn is ten rupee coin?
Answer Choices: (A) 5/12 (B) 7/12 (C) 12/5 (D) 12/7 (E) 4/5 | tiger_lab_math | [
0.023803234100341797,
0.03008621372282505,
-0.02190280705690384,
-0.030422698706388474,
0.0366801917552948,
-0.028920475393533707,
-0.012280249036848545,
0.05166776105761528,
0.03499424830079079,
-0.015547278337180614,
0.0017131083877757192,
0.026762597262859344,
-0.009323293343186378,
-0.... | 0.807273 | 0.828935 | -0.021662 |
What is the Euler characteristic of a hemisphere with a radius of 5 cm, and how does it relate to the total sum of angles of its geodesic triangles? Use the Gauss-Bonnet theorem to answer. | tiger_lab_math | [
-0.0016434569843113422,
0.012410535477101803,
-0.027302853763103485,
-0.04938100278377533,
0.023870067670941353,
-0.00853941310197115,
-0.019120123237371445,
0.05454086512327194,
0.028262464329600334,
-0.0018339181551709771,
0.01078715454787016,
0.05013522505760193,
-0.018081575632095337,
... | 0.818045 | 0.812303 | 0.005742 |
find 62976 ÷ ? = 123 ? Let's write a Python program. | tiger_lab_math | [
0.006873059552162886,
0.019951041787862778,
-0.03513817489147186,
-0.03562840446829796,
0.020659657195210457,
-0.026598772034049034,
-0.02209346555173397,
0.032143548130989075,
0.04632638022303581,
-0.02460244670510292,
0.040008097887039185,
0.04134198650717735,
-0.02755454182624817,
-0.01... | 0.812212 | 0.847268 | -0.035056 |
In the quiet town ofNothintodothere are 850 inhabitants, 400 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?
Answer Choices: (A) 50. (B) 100. (C) 150. (D) 200. (E) 300. | tiger_lab_math | [
0.029701877385377884,
0.005823139101266861,
-0.03567862510681152,
-0.025055333971977234,
0.0305346567183733,
-0.030142629519104958,
-0.0007555867196060717,
0.059102386236190796,
0.039431873708963394,
-0.027628591284155846,
0.019815905019640923,
0.01510351337492466,
-0.03434039652347565,
-0... | 0.79426 | 0.815124 | -0.020864 |
at what rate percent per annum will sum of money double in 20 years ? Let's write a Python program. | tiger_lab_math | [
-0.014532430097460747,
0.02850213646888733,
-0.04760068282485008,
-0.0205692108720541,
0.020688794553279877,
-0.023946048691868782,
-0.028915157541632652,
0.059377606958150864,
0.03495911508798599,
-0.024677053093910217,
0.0054786126129329205,
0.04151225462555885,
-0.03292592614889145,
-0.... | 0.796412 | 0.81519 | -0.018778 |
A right triangle has a hypotenuse of 10 cm and one leg of 6 cm. Using trigonometry, find the length of the other leg. | tiger_lab_math | [
0.007884614169597626,
0.02576158009469509,
-0.03364516794681549,
-0.03764832392334938,
0.030707407742738724,
-0.03089033253490925,
-0.028905825689435005,
0.03922673314809799,
0.03813937306404114,
-0.02897854894399643,
0.022355379536747932,
0.04294976592063904,
-0.026904743164777756,
-0.012... | 0.810615 | 0.816081 | -0.005466 |
X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
Answer Choices: (A) 6 days (B) 10 days (C) 15 days (D) 20 days (E) 25 days | tiger_lab_math | [
0.015714358538389206,
0.021204525604844093,
-0.036856964230537415,
-0.009649300947785378,
0.03675929829478264,
-0.041832517832517624,
-0.04019439220428467,
0.06817208230495453,
0.049541112035512924,
-0.021396905183792114,
0.020420020446181297,
0.041803620755672455,
-0.012742440216243267,
-... | 0.789193 | 0.817827 | -0.028634 |
The area of the parallelogram generated by the vectors $\mathbf{a}$ and $\mathbf{b}$ is 8. Find the area of the parallelogram generated by the vectors $2 \mathbf{a} + 3 \mathbf{b}$ and $\mathbf{a} - 5 \mathbf{b}.$ | tiger_lab_math | [
0.042355965822935104,
0.027150148525834084,
-0.0591258630156517,
-0.05105889216065407,
0.03365694358944893,
-0.0002127118204953149,
-0.03284040838479996,
0.08790711313486099,
0.04077352210879326,
-0.012239605188369751,
0.0005886908038519323,
0.03262937068939209,
-0.033257484436035156,
-0.0... | 0.812872 | 0.812264 | 0.000608 |
Antonella has ten Canadian coins in her purse that are either loonies or toonies. A loonie equals $1 and a toonie equals $2. If she bought a $3 Frappuccino and still has $11, how many toonies did she initially have? | tiger_lab_math | [
0.041833508759737015,
0.006883003283292055,
-0.04005918651819229,
-0.03385428339242935,
0.022960446774959564,
-0.01944408379495144,
-0.03521088510751724,
0.06344321370124817,
0.02128671295940876,
-0.019808830693364143,
0.0291084423661232,
0.028592711314558983,
-0.0539776012301445,
-0.03500... | 0.805519 | 0.816556 | -0.011037 |
The original price of a car was $30,000. Because the car owner thought he could get more money for the car, he set a new price by increasing the original price of the car by 5%. After a week, the car had not sold, so the owner discounted the new price by 5%, and the car was finally sold. What price was the car sold for... | tiger_lab_math | [
0.0008762126672081649,
-0.0013990829465910792,
-0.030837738886475563,
-0.010650855489075184,
0.02774643711745739,
-0.03482485190033913,
-0.018869249150156975,
0.07662339508533478,
0.06098721921443939,
-0.013053111732006073,
0.033005502074956894,
0.023723162710666656,
-0.06185931712388992,
... | 0.791369 | 0.813353 | -0.021983 |
How many non-isomorphic groups of order 96 exist, and what are they? | tiger_lab_math | [
0.011082533746957779,
0.0004916088655591011,
-0.04938364028930664,
-0.027572957798838615,
0.015358488075435162,
-0.024502260610461235,
-0.01319372933357954,
0.014390138909220695,
0.03704367205500603,
-0.028134983032941818,
0.043332915753126144,
0.019434534013271332,
-0.025160206481814384,
... | 0.797921 | 0.811616 | -0.013695 |
A is a working partner and B is a sleeping partner in a business. A puts in 60,000 and B 40,000. A gets 20% of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the share of A in profit of 10000.
Answer Choices: (A) 6800 (B) 5800 (C) 4800 (D) 6500 (E) None of these | tiger_lab_math | [
0.05072074383497238,
0.02358727715909481,
-0.041479501873254776,
-0.010922304354608059,
0.010795993730425835,
-0.013078236021101475,
-0.018316054716706276,
0.06881032884120941,
0.04164651781320572,
-0.02796228416264057,
0.020366940647363663,
0.037025343626737595,
-0.020212840288877487,
-0.... | 0.797476 | 0.817529 | -0.020053 |
The last time Rahul bought Diwali cards, he found that the four types of cards that he liked were priced Rs.4.50, Rs.5.50, Rs.8.00 and Rs.10.00 each. As Rahul wanted 40 cards, he took five each of two kinds and fifteen each of the other two, putting down the exact number of 10 rupees notes on the counter payment. How m... | tiger_lab_math | [
0.008897319436073303,
0.02301335707306862,
-0.03095928020775318,
-0.028052018955349922,
0.022573696449398994,
-0.039299264550209045,
-0.01798790693283081,
0.047370050102472305,
0.026740115135908127,
-0.014345667324960232,
0.020718950778245926,
0.024684451520442963,
-0.051412228494882584,
-... | 0.803591 | 0.820118 | -0.016527 |
A guy was asked to specify his age in years. He said, “Take my age 5 years hence, multiply it by five and subtract five times of my age 5 years ago and you will know my age.” What was the age of that guy?
Answer Choices: (A) 18 (B) 15 (C) 33 (D) 39 (E) 50 | tiger_lab_math | [
0.03044404275715351,
0.023172885179519653,
-0.024894624948501587,
-0.029689380899071693,
0.05308693274855614,
-0.04475883021950722,
-0.01808706484735012,
0.058377690613269806,
0.04828250780701637,
-0.00943747442215681,
0.002605519723147154,
0.043020423501729965,
-0.05472158268094063,
-0.01... | 0.794479 | 0.831992 | -0.037513 |
Consider a graph with 10 vertices and 15 edges. Determine whether the graph is planar or non-planar, and provide a valid explanation for your answer. | tiger_lab_math | [
0.004633539356291294,
0.02126374840736389,
-0.01909174583852291,
-0.030455349013209343,
0.038361772894859314,
-0.02397307939827442,
-0.019034262746572495,
0.04903016239404678,
0.02925025299191475,
-0.023304294794797897,
0.03071235679090023,
0.01797947846353054,
-0.031440023332834244,
-0.00... | 0.800921 | 0.80077 | 0.000152 |
Yesterday's closing prices of 1,760 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher p... | tiger_lab_math | [
0.01891770400106907,
0.009515393525362015,
-0.042960841208696365,
-0.018603729084134102,
0.04350501298904419,
-0.046335045248270035,
-0.027094298973679543,
0.0442982017993927,
0.050195686519145966,
-0.02570316195487976,
0.03136550635099411,
0.0278785340487957,
-0.051982734352350235,
-0.021... | 0.79477 | 0.818005 | -0.023235 |
Alice and Bob are communicating using Vigenere Cipher. Alice encrypts a message "HELLO" with a keyword "MATHS". What is the resulting ciphertext? | tiger_lab_math | [
0.04036477580666542,
0.02354387752711773,
-0.01895510032773018,
-0.05015551298856735,
0.027493271976709366,
-0.03031434863805771,
-0.031909193843603134,
0.047703731805086136,
0.043824970722198486,
-0.023436613380908966,
0.024978412315249443,
0.009177367202937603,
-0.01090697105973959,
-0.0... | 0.806169 | 0.809822 | -0.003653 |
A cylindrical tank has a height of 10 meters and a radius of 5 meters. The tank is being filled with water at a rate of 3 cubic meters per minute. How fast is the water level rising when the water is 4 meters deep? | tiger_lab_math | [
0.03296522796154022,
0.04087777063250542,
-0.035835765302181244,
-0.02249665930867195,
0.04103027656674385,
-0.05398936942219734,
-0.04713359847664833,
0.07138337194919586,
0.016770685091614723,
-0.006156038958579302,
0.000559600128326565,
0.01274300180375576,
-0.0427919402718544,
-0.00350... | 0.794113 | 0.802407 | -0.008294 |
Vinay spends 30% of his salary on house rent and 55% of the remaining money on food and clothes. He saves the remaining amount. If he saves ?59724 yearly, how much amount does he spend on food and clothes per month ?
Answer Choices: (A) 5316 (B) 4792 (C) 5817 (D) 6080 (E) 6083 | tiger_lab_math | [
0.0030753351747989655,
0.023841405287384987,
-0.03734583780169487,
-0.02837313897907734,
0.030643559992313385,
-0.032177358865737915,
-0.011025986634194851,
0.05304206162691116,
0.018182585015892982,
-0.025734346359968185,
0.0317586287856102,
0.04034922271966934,
-0.05210331082344055,
-0.0... | 0.794269 | 0.828204 | -0.033935 |
A rectangular box has interior dimensions 6-inches by 5-inches by 10-inches. The box is filled with as many solid 3-inch cubes as possible, with all of the cubes entirely inside the rectangular box. What percent of the volume of the box is taken up by the cubes? Let's write a Python program to solve it. | tiger_lab_math | [
0.01504832785576582,
0.03889726847410202,
-0.05423364415764809,
-0.02189374342560768,
0.031233061105012894,
-0.024073442444205284,
-0.016613904386758804,
0.04204222932457924,
0.021478155627846718,
-0.012351473793387413,
0.018564267084002495,
0.0424012765288353,
-0.027184097096323967,
-0.01... | 0.81655 | 0.812152 | 0.004398 |
The sum of the ages of two friends, Alma and Melina, is twice the total number of points Alma scored in a test. If Melina is three times as old as Alma, and she is 60, calculate Alma's score in the test? | tiger_lab_math | [
0.025972548872232437,
0.002966412343084812,
-0.04303111508488655,
-0.03812343254685402,
0.025045691058039665,
-0.027276167646050453,
-0.030527465045452118,
0.058433547616004944,
0.04108009859919548,
-0.015878794714808464,
-0.0028320744168013334,
0.04230216145515442,
-0.04267742484807968,
-... | 0.815951 | 0.827133 | -0.011183 |
Look at this series: 2, 4, 8, 16, ... What number should come next?
Answer Choices: (A) 128 (B) 64 (C) 32 (D) 24 (E) 56 | tiger_lab_math | [
0.030161568894982338,
0.01740112528204918,
-0.011917544528841972,
-0.04394272714853287,
0.05308954417705536,
-0.027316689491271973,
-0.034849490970373154,
0.07183337956666946,
0.04536593705415726,
-0.01482842955738306,
0.024529147893190384,
0.040787357836961746,
-0.03223255276679993,
-0.04... | 0.811188 | 0.844202 | -0.033014 |
Agnes has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?
Answer Choices: (A) 32 (B) 30 (C) 29 (D) 28 (E) 27 | tiger_lab_math | [
0.01536259613931179,
0.0033114466350525618,
-0.02481994964182377,
-0.03164234384894371,
0.04556487500667572,
-0.042659010738134384,
-0.03805618733167648,
0.06099576875567436,
0.03270602971315384,
-0.006211949046701193,
0.02346133068203926,
0.04101410135626793,
-0.03791126236319542,
-0.0354... | 0.80979 | 0.836841 | -0.027051 |
Toby is dining out with his friend. They each order a cheeseburger for $3.65. He gets a milkshake for $2 and his friend gets a coke for $1. They split a large fries that cost $4. His friend also gets three cookies that cost $.5 each. The tax is $.2. They agree to split the bill. If Toby arrived with $15, how much chang... | tiger_lab_math | [
0.009035738185048103,
0.029618285596370697,
-0.03192877024412155,
-0.030876049771904945,
0.028136571869254112,
0.006665370427072048,
-0.013545183464884758,
0.05958927795290947,
0.03999772667884827,
-0.009889482520520687,
0.0334918312728405,
0.022048411890864372,
-0.035335369408130646,
-0.0... | 0.810231 | 0.821624 | -0.011393 |
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