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numbers: gcd
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Issue: Calculate the highest common factor of 90300 and 11900.
Gives: 700
Issue: What is the highest common factor of 265 and 20?
Gives: 5
Issue: What is the highest common factor of 890 and 86440?
Gives: 10
Issue: What is the highest common divisor of 318 and 384?
Gives: 6
Issue: What is the greatest common divisor of 2959 and 33?
Gives: 11
Issue: Calculate the highest common divisor of 28738589 and 11979.
Gives: 121
Issue: Calculate the highest common factor of 3185 and 160475.
Gives: 245
Issue: Calculate the greatest common factor of 9581 and 8710871.
Gives: 871
Issue: What is the greatest common factor of 765879 and 354?
Gives: 177
Issue: Calculate the highest common factor of 2055 and 1055.
Gives: 5
Issue: What is the highest common factor of 24 and 96038724?
Gives: 12
Issue: Calculate the highest common factor of 2404185 and 3675.
Gives: 735
Issue: What is the highest common factor of 18 and 1925262?
Gives: 18
Issue: What is the highest common factor of 14283 and 662877?
Gives: 27
Issue: Calculate the highest common factor of 254334 and 38.
Gives: 38
Issue: Calculate the greatest common factor of 606 and 1551966.
Gives: 606
Issue: What is the greatest common divisor of 783 and 4437?
Gives: 261
Issue: What is the greatest common divisor of 6191 and 15553?
Gives: 151
Issue: Calculate the greatest common factor of 9566553 and 48813.
Gives: 159
Issue: Calculate the highest common factor of 153253916 and 1416.
Gives: 236
Issue: What is the highest common divisor of 1425 and 2622?
Gives: 57
Issue: Calculate the highest common factor of 119588 and 88032.
Gives: 28
Issue: What is the greatest common factor of 9 and 276053247?
Gives: 9
Issue: What is the greatest common factor of 72 and 21048?
Gives: 24
Issue: Calculate the greatest common divisor of 122 and 488.
Gives: 122
Issue: Calculate the highest common factor of 12 and 768.
Gives: 12
Issue: Calculate the highest common divisor of 75050811 and 87.
Gives: 87
Issue: What is the greatest co
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measurement: conversion
-----------------------
Case: What is one quarter of a litre in millilitres?
Reply: 250
Case: What is 3/40 of a millennium in years?
Reply: 75
Case: How many milliseconds are there in 1/10 of a minute?
Reply: 6000
Case: What is 856174.3 years in millennia?
Reply: 856.1743
Case: How many months are there in 5/6 of a year?
Reply: 10
Case: Convert 63844.08l to millilitres.
Reply: 63844080
Case: How many millennia are there in 508.8847 decades?
Reply: 5.088847
Case: How many litres are there in 35867.87ml?
Reply: 35.86787
Case: What is 32382.66 millilitres in litres?
Reply: 32.38266
Case: What is 48/5 of a decade in years?
Reply: 96
Case: What is 3/5 of a litre in millilitres?
Reply: 600
Case: How many months are there in 0.0624578 years?
Reply: 0.7494936
Case: Convert 3.30503 hours to microseconds.
Reply: 11898108000
Case: What is 5/8 of a day in minutes?
Reply: 900
Case: How many hours are there in one sixth of a week?
Reply: 28
Case: How many centimeters are there in 6/25 of a meter?
Reply: 24
Case: Convert 118580.6l to millilitres.
Reply: 118580600
Case: How many millilitres are there in 0.9924267 litres?
Reply: 992.4267
Case: Convert 607.5317 decades to years.
Reply: 6075.317
Case: What is 951.2867 decades in millennia?
Reply: 9.512867
Case: What is three fifths of a centimeter in micrometers?
Reply: 6000
Case: How many decades are there in 79.27623 years?
Reply: 7.927623
Case: What is 91/4 of a litre in millilitres?
Reply: 22750
Case: How many micrograms are there in 75/4 of a milligram?
Reply: 18750
Case: How many centimeters are there in one twentieth of a meter?
Reply: 5
Case: What is fifty-one eighths of a litre in millilitres?
Reply: 6375
Case: How many meters are there in 2732.781nm?
Reply: 0.000002732781
Case: What is 1/20 of a litre in millilitres?
Reply: 50
Case: How many millennia are there in 22.01559 months?
Reply: 0.0018346325
Case: How many microseconds are there in 7/4 of a millisecond?
Reply: 1750
Case: What is 3/25 of a mic
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numbers: lcm
------------
Test item: Calculate the least common multiple of 1620 and 408.
Calculation: 55080
Test item: What is the lowest common multiple of 59170173 and 177510519?
Calculation: 177510519
Test item: Calculate the lowest common multiple of 19827 and 9.
Calculation: 19827
Test item: What is the common denominator of -107/416 and -61/68?
Calculation: 7072
Test item: Find the common denominator of 59/1644 and 23/640749.
Calculation: 2562996
Test item: Find the common denominator of 54/207575 and -74/6555.
Calculation: 622725
Test item: What is the lowest common multiple of 200 and 520?
Calculation: 2600
Test item: What is the common denominator of -49/47 and 3/34?
Calculation: 1598
Test item: Calculate the smallest common multiple of 78944 and 20.
Calculation: 394720
Test item: Calculate the common denominator of -70/9 and 89/5111366.
Calculation: 46002294
Test item: Calculate the common denominator of 49/30 and -19/18.
Calculation: 90
Test item: What is the least common multiple of 25080 and 100320?
Calculation: 100320
Test item: What is the common denominator of -11/188 and -47/26980?
Calculation: 1268060
Test item: What is the common denominator of -37/840 and -185/95172?
Calculation: 951720
Test item: What is the common denominator of -31/28951138 and -1/10?
Calculation: 144755690
Test item: Calculate the smallest common multiple of 126 and 294.
Calculation: 882
Test item: What is the common denominator of 89/945 and -61/20?
Calculation: 3780
Test item: What is the lowest common multiple of 2240 and 13888?
Calculation: 69440
Test item: What is the common denominator of -31/160190 and -37/3735?
Calculation: 1441710
Test item: Find the common denominator of -39/2024 and -41/7744.
Calculation: 178112
Test item: Find the common denominator of -39/50 and -77/461630.
Calculation: 2308150
Test item: What is the least common multiple of 8 and 1445?
Calculation: 11560
Test item: Find the common denominator of -71/30 and -13/32.
Calculation: 480
Test item: Wh
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arithmetic: nearest integer root
--------------------------------
Part A: What is 17448238 to the power of 1/3, to the nearest integer?
Interpretation: 259
Part A: What is the square root of 1391056 to the nearest integer?
Interpretation: 1179
Part A: What is the square root of 1585 to the nearest integer?
Interpretation: 40
Part A: What is the cube root of 331068 to the nearest integer?
Interpretation: 69
Part A: What is 48499 to the power of 1/2, to the nearest integer?
Interpretation: 220
Part A: What is 65924 to the power of 1/2, to the nearest integer?
Interpretation: 257
Part A: What is 135137424 to the power of 1/6, to the nearest integer?
Interpretation: 23
Part A: What is the square root of 499390 to the nearest integer?
Interpretation: 707
Part A: What is the square root of 7010 to the nearest integer?
Interpretation: 84
Part A: What is the square root of 108407 to the nearest integer?
Interpretation: 329
Part A: What is 1129108 to the power of 1/3, to the nearest integer?
Interpretation: 104
Part A: What is the square root of 11027 to the nearest integer?
Interpretation: 105
Part A: What is the square root of 116421618 to the nearest integer?
Interpretation: 10790
Part A: What is the third root of 783 to the nearest integer?
Interpretation: 9
Part A: What is 6158 to the power of 1/3, to the nearest integer?
Interpretation: 18
Part A: What is 4463 to the power of 1/3, to the nearest integer?
Interpretation: 16
Part A: What is the third root of 3739 to the nearest integer?
Interpretation: 16
Part A: What is the eighth root of 320306 to the nearest integer?
Interpretation: 5
Part A: What is the tenth root of 336675528 to the nearest integer?
Interpretation: 7
Part A: What is the third root of 1903 to the nearest integer?
Interpretation: 12
Part A: What is 4342488 to the power of 1/2, to the nearest integer?
Interpretation: 2084
Part A: What is the third root of 14888 to the nearest integer?
Interpretation: 25
Part A: What is the square root of 150226703 to t
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probability: swr p sequence
---------------------------
Math Q: Three letters picked without replacement from fffffffgfffffffgffff. What is prob of sequence ffg?
Eval: 17/190
Math Q: Three letters picked without replacement from wbojjbjbonjobnjo. What is prob of sequence nno?
Eval: 1/420
Math Q: What is prob of sequence rlj when three letters picked without replacement from {j: 1, i: 1, r: 3, d: 1, l: 1}?
Eval: 1/70
Math Q: Calculate prob of sequence ryc when three letters picked without replacement from {p: 2, g: 1, y: 2, r: 1, c: 6}.
Eval: 1/110
Math Q: Calculate prob of sequence hl when two letters picked without replacement from llhk.
Eval: 1/6
Math Q: Three letters picked without replacement from llokkkkkollk. What is prob of sequence llo?
Eval: 1/55
Math Q: Two letters picked without replacement from nnnrrnnnn. What is prob of sequence nn?
Eval: 7/12
Math Q: Four letters picked without replacement from eciclceleicceizc. Give prob of sequence eliz.
Eval: 1/1820
Math Q: Calculate prob of sequence pnn when three letters picked without replacement from nnnpnnnnpnnnnpnnnn.
Eval: 35/272
Math Q: Three letters picked without replacement from locaqmc. What is prob of sequence oac?
Eval: 1/105
Math Q: What is prob of sequence ol when two letters picked without replacement from lojloojjllojjjljjo?
Eval: 25/306
Math Q: Calculate prob of sequence ub when two letters picked without replacement from {g: 4, u: 2, m: 1, b: 3, e: 4}.
Eval: 3/91
Math Q: What is prob of sequence enn when three letters picked without replacement from evvnvvn?
Eval: 1/105
Math Q: Two letters picked without replacement from {e: 2, l: 5, w: 3, t: 9}. Give prob of sequence ll.
Eval: 10/171
Math Q: What is prob of sequence wkw when three letters picked without replacement from nnjnwgwnjkjww?
Eval: 1/143
Math Q: Three letters picked without replacement from yyppyyyyyyp. Give prob of sequence pyy.
Eval: 28/165
Math Q: Calculate prob of sequence lvy when three letters picked without replacement from vbvvv
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probability: swr p sequence
---------------------------
Statement: Two letters picked without replacement from augaugagggag. Give prob of sequence aa.
Explanation: 1/11
Statement: Two letters picked without replacement from jhwwhhh. Give prob of sequence jh.
Explanation: 2/21
Statement: What is prob of sequence txxl when four letters picked without replacement from {t: 4, x: 7, l: 2}?
Explanation: 14/715
Statement: Two letters picked without replacement from {w: 2, r: 1, z: 1, t: 1}. Give prob of sequence rw.
Explanation: 1/10
Statement: What is prob of sequence fjjj when four letters picked without replacement from {j: 4, f: 2}?
Explanation: 2/15
Statement: Calculate prob of sequence ep when two letters picked without replacement from peppepe.
Explanation: 2/7
Statement: Two letters picked without replacement from kkkkkkkkkk. Give prob of sequence kk.
Explanation: 1
Statement: Three letters picked without replacement from vooroooqq. Give prob of sequence qoq.
Explanation: 5/252
Statement: Two letters picked without replacement from {l: 2, u: 3, f: 5, j: 1, k: 5}. What is prob of sequence kf?
Explanation: 5/48
Statement: What is prob of sequence af when two letters picked without replacement from {u: 3, t: 8, f: 4, a: 2}?
Explanation: 1/34
Statement: Calculate prob of sequence mnv when three letters picked without replacement from {x: 4, y: 3, d: 1, v: 1, m: 5, n: 4}.
Explanation: 5/1224
Statement: Three letters picked without replacement from owlwlllloollw. What is prob of sequence ool?
Explanation: 7/286
Statement: Calculate prob of sequence blb when three letters picked without replacement from ibibiibbbblblbiiil.
Explanation: 7/204
Statement: Two letters picked without replacement from {w: 2, n: 3, t: 2, q: 2}. What is prob of sequence nq?
Explanation: 1/12
Statement: Three letters picked without replacement from kokk. Give prob of sequence kkk.
Explanation: 1/4
Statement: Two letters picked without replacement from {y: 1, i: 3, f: 3, z: 4, e: 3, l: 1}. What is
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numbers: is prime
-----------------
Topic: Is 52795 composite?
Solution: True
Topic: Is 3816578 a composite number?
Solution: True
Topic: Is 161340591473 composite?
Solution: True
Topic: Is 82307497 composite?
Solution: False
Topic: Is 408011 composite?
Solution: False
Topic: Is 756934207 a prime number?
Solution: True
Topic: Is 608232367 a prime number?
Solution: False
Topic: Is 40675251 a prime number?
Solution: False
Topic: Is 24539897 composite?
Solution: False
Topic: Is 152403673 prime?
Solution: False
Topic: Is 109518215 a prime number?
Solution: False
Topic: Is 8069 prime?
Solution: True
Topic: Is 34534603 a prime number?
Solution: True
Topic: Is 12785027 composite?
Solution: True
Topic: Is 51703 prime?
Solution: False
Topic: Is 57741267 a prime number?
Solution: False
Topic: Is 11651 composite?
Solution: True
Topic: Is 750998869 prime?
Solution: False
Topic: Is 1574023 composite?
Solution: True
Topic: Is 2647873 a prime number?
Solution: True
Topic: Is 8367 prime?
Solution: False
Topic: Is 40873 a composite number?
Solution: True
Topic: Is 77537 a prime number?
Solution: False
Topic: Is 3070019 prime?
Solution: False
Topic: Is 322010441 prime?
Solution: False
Topic: Is 1713530991 composite?
Solution: True
Topic: Is 12146669 a prime number?
Solution: True
Topic: Is 33331877 a composite number?
Solution: True
Topic: Is 1230500121 a prime number?
Solution: False
Topic: Is 971639 a composite number?
Solution: False
Topic: Is 12755250881 a prime number?
Solution: True
Topic: Is 367449007 prime?
Solution: False
Topic: Is 6086541 composite?
Solution: True
Topic: Is 7201 a composite number?
Solution: True
Topic: Is 438401 a prime number?
Solution: True
Topic: Is 7422133 a composite number?
Solution: True
Topic: Is 6164891 prime?
Solution: True
Topic: Is 25941871 a composite number?
Solution: False
Topic: Is 73277 a composite number?
Solution: False
Topic: Is 1026101 prime?
Solution: True
Topic: Is 1819006841 prime?
Solution: False
Topic: Is 2271981671 prime?
Solutio
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measurement: conversion
-----------------------
Example: What is 155270.5 millennia in years?
Response: 155270500
Example: How many tonnes are there in 7087.642ug?
Response: 0.000000007087642
Example: What is eleven eighths of a microsecond in nanoseconds?
Response: 1375
Example: How many millennia are there in 333535.1 decades?
Response: 3335.351
Example: Convert 0.2819081 centuries to decades.
Response: 2.819081
Example: How many minutes are there in 1/10 of a hour?
Response: 6
Example: What is 3/32 of a day in minutes?
Response: 135
Example: Convert 176922030.6 seconds to weeks.
Response: 292.5298125
Example: What is 928.6274 millennia in years?
Response: 928627.4
Example: How many nanograms are there in 0.9091133 milligrams?
Response: 909113.3
Example: How many millilitres are there in 27/2 of a litre?
Response: 13500
Example: How many months are there in sixteen fifteenths of a century?
Response: 1280
Example: How many tonnes are there in 820.2819 grams?
Response: 0.0008202819
Example: What is eighty-one quarters of a second in milliseconds?
Response: 20250
Example: How many hours are there in 751079.07 seconds?
Response: 208.633075
Example: What is 7091.81ng in milligrams?
Response: 0.00709181
Example: How many centimeters are there in five quarters of a meter?
Response: 125
Example: What is 17.73625g in kilograms?
Response: 0.01773625
Example: What is 8761.087um in millimeters?
Response: 8.761087
Example: How many minutes are there in eleven eighths of a week?
Response: 13860
Example: What is 3/8 of a gram in milligrams?
Response: 375
Example: What is three eighths of a century in months?
Response: 450
Example: What is five quarters of a micrometer in nanometers?
Response: 1250
Example: Convert 0.985737 micrograms to kilograms.
Response: 0.000000000985737
Example: How many millimeters are there in eighteen fifths of a meter?
Response: 3600
Example: How many grams are there in seventeen quarters of a kilogram?
Response: 4250
Example: How many litres are there
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measurement: time
-----------------
Part A: How many minutes are there between 10:59 AM and 10:58 PM?
Response: 719
Part A: What is 313 minutes before 4:49 PM?
Response: 11:36 AM
Part A: How many minutes are there between 3:42 PM and 4:42 PM?
Response: 60
Part A: What is 126 minutes after 9:46 PM?
Response: 11:52 PM
Part A: What is 488 minutes after 2:05 PM?
Response: 10:13 PM
Part A: How many minutes are there between 8:10 AM and 4:00 PM?
Response: 470
Part A: How many minutes are there between 7:25 PM and 1:39 AM?
Response: 374
Part A: How many minutes are there between 4:01 AM and 3:22 PM?
Response: 681
Part A: What is 69 minutes after 9:26 PM?
Response: 10:35 PM
Part A: What is 630 minutes before 9:28 AM?
Response: 10:58 PM
Part A: What is 19 minutes after 4:21 PM?
Response: 4:40 PM
Part A: What is 526 minutes after 9:40 PM?
Response: 6:26 AM
Part A: What is 194 minutes before 1:02 AM?
Response: 9:48 PM
Part A: What is 458 minutes after 12:03 PM?
Response: 7:41 PM
Part A: What is 327 minutes after 10:31 PM?
Response: 3:58 AM
Part A: How many minutes are there between 5:49 AM and 6:38 AM?
Response: 49
Part A: What is 538 minutes after 12:45 PM?
Response: 9:43 PM
Part A: How many minutes are there between 9:10 AM and 4:36 PM?
Response: 446
Part A: What is 136 minutes before 2:43 PM?
Response: 12:27 PM
Part A: How many minutes are there between 7:40 AM and 6:59 PM?
Response: 679
Part A: What is 322 minutes before 4:09 AM?
Response: 10:47 PM
Part A: What is 342 minutes before 2:33 PM?
Response: 8:51 AM
Part A: What is 270 minutes after 10:27 AM?
Response: 2:57 PM
Part A: What is 371 minutes after 3:41 AM?
Response: 9:52 AM
Part A: What is 406 minutes before 1:33 PM?
Response: 6:47 AM
Part A: What is 153 minutes before 5:01 PM?
Response: 2:28 PM
Part A: What is 502 minutes after 11:40 AM?
Response: 8:02 PM
Part A: What is 514 minutes before 1:22 PM?
Response: 4:48 AM
Part A: How many minutes are there between 2:37 AM and 1:05 PM?
Response: 628
Part A: What is 49 minu
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probability: swr p sequence
---------------------------
Question: Three letters picked without replacement from {e: 3, p: 2}. What is prob of sequence eep?
Eval: 1/5
Question: Four letters picked without replacement from qvsvsviswqqvss. What is prob of sequence ivvv?
Eval: 1/1001
Question: What is prob of sequence yy when two letters picked without replacement from {w: 7, c: 1, y: 6}?
Eval: 15/91
Question: Three letters picked without replacement from yhhyybx. Give prob of sequence yxb.
Eval: 1/70
Question: Calculate prob of sequence mm when two letters picked without replacement from mmmmmmmmmjmmmmm.
Eval: 13/15
Question: Two letters picked without replacement from ttkktukttktkknttkk. Give prob of sequence kt.
Eval: 32/153
Question: Four letters picked without replacement from wiaaiyrrrr. Give prob of sequence rria.
Eval: 1/105
Question: Calculate prob of sequence lula when four letters picked without replacement from ssyusasssssssslsylls.
Eval: 1/19380
Question: Calculate prob of sequence yo when two letters picked without replacement from {y: 7, f: 2, o: 1}.
Eval: 7/90
Question: Calculate prob of sequence mq when two letters picked without replacement from wmlmqw.
Eval: 1/15
Question: What is prob of sequence cff when three letters picked without replacement from {f: 9, c: 10}?
Eval: 40/323
Question: What is prob of sequence tl when two letters picked without replacement from lltlllllllllltllll?
Eval: 16/153
Question: What is prob of sequence oik when three letters picked without replacement from {v: 2, o: 1, s: 1, i: 5, k: 1, h: 3}?
Eval: 5/1716
Question: Three letters picked without replacement from gggggggpggggggg. Give prob of sequence gpg.
Eval: 1/15
Question: Three letters picked without replacement from {p: 2, f: 16}. Give prob of sequence ppf.
Eval: 1/153
Question: Three letters picked without replacement from {z: 3, t: 6, u: 3, k: 4, f: 1, s: 2}. What is prob of sequence ukk?
Eval: 2/323
Question: Four letters picked without replacement from {p: 3, g: 3,
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probability: swr p sequence
---------------------------
Exercise: Four letters picked without replacement from {d: 7, g: 1, q: 6, f: 2, h: 2}. What is prob of sequence fqgq?
A.: 1/1224
Exercise: Three letters picked without replacement from {v: 2, z: 7, s: 1, k: 1, u: 4}. Give prob of sequence kvv.
A.: 1/1365
Exercise: Two letters picked without replacement from mpjsmhy. What is prob of sequence yp?
A.: 1/42
Exercise: What is prob of sequence mzzs when four letters picked without replacement from dzszyym?
A.: 1/420
Exercise: Four letters picked without replacement from {c: 2, x: 2}. What is prob of sequence xccx?
A.: 1/6
Exercise: Four letters picked without replacement from {s: 3, z: 7}. Give prob of sequence sssz.
A.: 1/120
Exercise: Two letters picked without replacement from {w: 2, a: 11, i: 6}. Give prob of sequence wi.
A.: 2/57
Exercise: Calculate prob of sequence jwr when three letters picked without replacement from rjwuc.
A.: 1/60
Exercise: What is prob of sequence ln when two letters picked without replacement from oznlllooolvilo?
A.: 5/182
Exercise: Three letters picked without replacement from {d: 11, i: 2}. What is prob of sequence ddi?
A.: 5/39
Exercise: Three letters picked without replacement from pgywwkd. What is prob of sequence gyp?
A.: 1/210
Exercise: What is prob of sequence xu when two letters picked without replacement from juexmer?
A.: 1/42
Exercise: Three letters picked without replacement from vttvtttttoo. What is prob of sequence ovt?
A.: 14/495
Exercise: Calculate prob of sequence kkn when three letters picked without replacement from njkjjjenwknwjkjee.
A.: 3/680
Exercise: Calculate prob of sequence ttni when four letters picked without replacement from {i: 1, n: 2, t: 2}.
A.: 1/30
Exercise: Calculate prob of sequence hi when two letters picked without replacement from wwwiwwiwiwuhwww.
A.: 1/70
Exercise: Calculate prob of sequence sss when three letters picked without replacement from srrrsrrs.
A.: 1/56
Exercise: Two letters picked withou
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probability: swr p level set
----------------------------
Problem #: What is prob of picking 1 g and 1 d when two letters picked without replacement from {j: 2, f: 5, e: 4, d: 2, g: 1, q: 1}?
Resolution: 2/105
Problem #: What is prob of picking 1 c and 1 y when two letters picked without replacement from yyycycyyycycyy?
Resolution: 40/91
Problem #: Three letters picked without replacement from mtmattmatatttmmt. What is prob of picking 1 a and 2 m?
Resolution: 3/56
Problem #: What is prob of picking 1 x and 1 p when two letters picked without replacement from {i: 2, p: 3, x: 5}?
Resolution: 1/3
Problem #: Four letters picked without replacement from {w: 6, x: 4, f: 7}. What is prob of picking 2 w and 2 f?
Resolution: 9/68
Problem #: Three letters picked without replacement from bwktbteeeiei. What is prob of picking 1 k, 1 w, and 1 t?
Resolution: 1/110
Problem #: What is prob of picking 1 j and 1 n when two letters picked without replacement from nybyyjjyn?
Resolution: 1/9
Problem #: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from {o: 3, w: 3, s: 3, m: 1}.
Resolution: 3/40
Problem #: Calculate prob of picking 1 y and 3 m when four letters picked without replacement from {z: 2, v: 1, m: 3, s: 2, h: 3, y: 1}.
Resolution: 1/495
Problem #: Calculate prob of picking 2 i and 2 w when four letters picked without replacement from zwwzwwziwwwziwwwt.
Resolution: 9/476
Problem #: Calculate prob of picking 3 n when three letters picked without replacement from {f: 9, n: 9}.
Resolution: 7/68
Problem #: Calculate prob of picking 3 t and 1 w when four letters picked without replacement from {w: 3, t: 3}.
Resolution: 1/5
Problem #: What is prob of picking 2 n and 2 s when four letters picked without replacement from {s: 5, w: 5, n: 2, u: 1, z: 5}?
Resolution: 1/306
Problem #: Three letters picked without replacement from {t: 19, l: 1}. Give prob of picking 3 l.
Resolution: 0
Problem #: Four letters picked without replacement from vvdddvvdvxxlv
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english
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numbers: is factor
------------------
Q: Is 33 a factor of 7671414?
Calculation: False
Q: Is 26 a factor of 4911?
Calculation: False
Q: Is 17 a factor of 1191304410?
Calculation: True
Q: Does 12 divide 276?
Calculation: True
Q: Is 1812237144 a multiple of 15?
Calculation: False
Q: Is 26 a factor of 109236?
Calculation: False
Q: Is 530713 a multiple of 2?
Calculation: False
Q: Is 442 a multiple of 12?
Calculation: False
Q: Is 78012 a multiple of 36?
Calculation: True
Q: Is 18653440 a multiple of 40?
Calculation: True
Q: Is 77655 a multiple of 15?
Calculation: True
Q: Is 665896 a multiple of 154?
Calculation: True
Q: Is 228 a factor of 41322?
Calculation: False
Q: Is 693 a multiple of 9?
Calculation: True
Q: Is 4340829 a multiple of 1097?
Calculation: True
Q: Is 27127 a multiple of 121?
Calculation: False
Q: Is 11 a factor of 1078?
Calculation: True
Q: Does 294 divide 762819456?
Calculation: True
Q: Is 330445 a multiple of 3?
Calculation: False
Q: Does 9 divide 230571?
Calculation: True
Q: Does 28 divide 128038?
Calculation: False
Q: Is 6524448 a multiple of 168?
Calculation: True
Q: Is 5284442 a multiple of 140?
Calculation: False
Q: Is 799987 a multiple of 47?
Calculation: True
Q: Does 263 divide 20401732?
Calculation: False
Q: Is 7 a factor of 27626487?
Calculation: True
Q: Does 243 divide 454083165?
Calculation: True
Q: Is 876 a factor of 50393221?
Calculation: False
Q: Does 50 divide 203849?
Calculation: False
Q: Does 47 divide 9432235?
Calculation: False
Q: Is 912298 a multiple of 29?
Calculation: False
Q: Is 584 a multiple of 10?
Calculation: False
Q: Is 423 a multiple of 32?
Calculation: False
Q: Does 736 divide 59036032?
Calculation: True
Q: Is 17 a factor of 547?
Calculation: False
Q: Does 2376 divide 726230688?
Calculation: False
Q: Does 3 divide 422?
Calculation: False
Q: Is 7626194 a multiple of 3?
Calculation: False
Q: Is 718 a factor of 10998324?
Calculation: True
Q: Is 64867 a multiple of 105?
Calculation: False
Q: Is 1502832 a multiple of 1572?
Calcul
|
english
|
probability: swr p level set
----------------------------
Let us solve: Four letters picked without replacement from sorervgrogor. What is prob of picking 1 r, 1 g, 1 o, and 1 s?
Steps: 8/165
Let us solve: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from skns.
Steps: 1/6
Let us solve: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from dppdoppopdddcppp.
Steps: 1/12
Let us solve: Calculate prob of picking 2 q and 1 o when three letters picked without replacement from oeqeeeqeeeeeeeq.
Steps: 3/455
Let us solve: Three letters picked without replacement from {b: 3, x: 3, f: 2, l: 6, r: 6}. What is prob of picking 1 b, 1 x, and 1 f?
Steps: 3/190
Let us solve: What is prob of picking 2 l and 1 p when three letters picked without replacement from {s: 2, l: 2, p: 6, n: 2}?
Steps: 3/110
Let us solve: Two letters picked without replacement from {c: 16, s: 4}. Give prob of picking 1 c and 1 s.
Steps: 32/95
Let us solve: Two letters picked without replacement from hzjwzlwjjhlwj. What is prob of picking 1 z and 1 j?
Steps: 4/39
Let us solve: What is prob of picking 1 p and 1 y when two letters picked without replacement from {y: 1, r: 2, u: 2, f: 4, p: 1}?
Steps: 1/45
Let us solve: Two letters picked without replacement from {f: 2, g: 4}. What is prob of picking 1 f and 1 g?
Steps: 8/15
Let us solve: Calculate prob of picking 1 j, 1 v, and 1 s when three letters picked without replacement from {s: 2, i: 2, j: 1, v: 9, q: 3}.
Steps: 9/340
Let us solve: Calculate prob of picking 2 x and 1 b when three letters picked without replacement from xxxxbxxxxxxxbxxxxx.
Steps: 5/17
Let us solve: Two letters picked without replacement from myqgmmmmmmmtqqmmg. What is prob of picking 2 m?
Steps: 45/136
Let us solve: Two letters picked without replacement from ymymmmymmmm. Give prob of picking 1 y and 1 m.
Steps: 24/55
Let us solve: Four letters picked without replacement from zzccbbccz. Give prob of picking 2 z and 2 b.
S
|
english
|
measurement: time
-----------------
Example: How many minutes are there between 9:10 AM and 3:56 PM?
Finding: 406
Example: What is 291 minutes after 7:20 PM?
Finding: 12:11 AM
Example: How many minutes are there between 8:20 PM and 4:45 AM?
Finding: 505
Example: How many minutes are there between 5:09 AM and 11:20 AM?
Finding: 371
Example: What is 556 minutes before 11:16 AM?
Finding: 2:00 AM
Example: How many minutes are there between 4:51 PM and 7:16 PM?
Finding: 145
Example: How many minutes are there between 10:46 PM and 12:23 AM?
Finding: 97
Example: How many minutes are there between 12:23 AM and 7:31 AM?
Finding: 428
Example: How many minutes are there between 5:50 PM and 1:50 AM?
Finding: 480
Example: What is 697 minutes after 10:26 PM?
Finding: 10:03 AM
Example: What is 211 minutes before 8:25 AM?
Finding: 4:54 AM
Example: What is 710 minutes after 11:57 AM?
Finding: 11:47 PM
Example: What is 699 minutes after 7:37 PM?
Finding: 7:16 AM
Example: What is 552 minutes after 3:07 AM?
Finding: 12:19 PM
Example: What is 691 minutes before 11:32 AM?
Finding: 12:01 AM
Example: What is 597 minutes after 8:18 PM?
Finding: 6:15 AM
Example: What is 279 minutes before 2:03 AM?
Finding: 9:24 PM
Example: How many minutes are there between 4:51 PM and 6:13 PM?
Finding: 82
Example: How many minutes are there between 12:06 PM and 11:48 PM?
Finding: 702
Example: What is 96 minutes after 7:58 AM?
Finding: 9:34 AM
Example: How many minutes are there between 1:18 AM and 3:00 AM?
Finding: 102
Example: What is 304 minutes before 12:42 PM?
Finding: 7:38 AM
Example: How many minutes are there between 1:54 PM and 3:31 PM?
Finding: 97
Example: What is 110 minutes before 12:59 PM?
Finding: 11:09 AM
Example: How many minutes are there between 1:21 AM and 5:25 AM?
Finding: 244
Example: How many minutes are there between 4:25 AM and 5:54 AM?
Finding: 89
Example: What is 387 minutes before 12:14 AM?
Finding: 5:47 PM
Example: What is 636 minutes after 4:16 AM?
Finding: 2:52 PM
Example: What
|
english
|
probability: swr p level set
----------------------------
Issue: What is prob of picking 1 m and 3 j when four letters picked without replacement from emejjjejjeeeme?
Result: 20/1001
Issue: Four letters picked without replacement from {m: 1, j: 1, d: 5, z: 1, r: 3, l: 3}. Give prob of picking 2 l, 1 m, and 1 d.
Result: 15/1001
Issue: What is prob of picking 2 d and 1 v when three letters picked without replacement from {d: 2, l: 5, k: 4, v: 1, r: 2}?
Result: 1/364
Issue: Two letters picked without replacement from {f: 1, n: 1, w: 2, y: 1, m: 1, p: 1}. Give prob of picking 1 n and 1 y.
Result: 1/21
Issue: What is prob of picking 1 w and 1 y when two letters picked without replacement from gywg?
Result: 1/6
Issue: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from zygsh.
Result: 1/10
Issue: Four letters picked without replacement from lvvvvvvv. Give prob of picking 3 v and 1 l.
Result: 1/2
Issue: Two letters picked without replacement from fwfjfrx. Give prob of picking 1 j and 1 f.
Result: 1/7
Issue: What is prob of picking 1 i, 1 v, and 2 f when four letters picked without replacement from {v: 2, s: 2, n: 4, i: 1, t: 3, f: 2}?
Result: 2/1001
Issue: What is prob of picking 1 t and 1 u when two letters picked without replacement from {t: 2, u: 1}?
Result: 2/3
Issue: Calculate prob of picking 3 j and 1 q when four letters picked without replacement from {q: 5, y: 4, j: 5}.
Result: 50/1001
Issue: What is prob of picking 3 w when three letters picked without replacement from bbbbbwbwbbwwbw?
Result: 5/182
Issue: Three letters picked without replacement from issiwxr. Give prob of picking 1 s, 1 w, and 1 i.
Result: 4/35
Issue: Three letters picked without replacement from uuurduuddddru. What is prob of picking 3 u?
Result: 10/143
Issue: Four letters picked without replacement from {g: 1, h: 5, j: 7, u: 6}. What is prob of picking 2 u and 2 j?
Result: 105/1292
Issue: Four letters picked without replacement from {g: 5, q: 5, e: 2}. What is p
|
english
|
numbers: gcd
------------
Scenario: What is the highest common factor of 28671849 and 72758?
Eval: 5197
Scenario: What is the greatest common divisor of 61644 and 73442288?
Eval: 1868
Scenario: What is the highest common factor of 11105 and 9432587?
Eval: 2221
Scenario: What is the highest common factor of 126 and 144?
Eval: 18
Scenario: What is the greatest common factor of 10400 and 325?
Eval: 325
Scenario: Calculate the greatest common divisor of 3309124 and 1456.
Eval: 364
Scenario: Calculate the highest common divisor of 54864 and 908910.
Eval: 18
Scenario: Calculate the greatest common divisor of 28 and 497.
Eval: 7
Scenario: Calculate the highest common factor of 780 and 48.
Eval: 12
Scenario: What is the greatest common factor of 20 and 55?
Eval: 5
Scenario: What is the highest common factor of 290 and 437870?
Eval: 10
Scenario: Calculate the greatest common factor of 294 and 105630868.
Eval: 98
Scenario: Calculate the highest common factor of 42 and 12026.
Eval: 14
Scenario: What is the greatest common divisor of 14461140 and 13920?
Eval: 1740
Scenario: Calculate the greatest common factor of 240424 and 16149456.
Eval: 5864
Scenario: Calculate the highest common factor of 806 and 275776.
Eval: 62
Scenario: What is the highest common divisor of 21 and 27237?
Eval: 21
Scenario: What is the highest common factor of 203 and 89992?
Eval: 7
Scenario: Calculate the greatest common divisor of 35814225 and 30.
Eval: 15
Scenario: What is the greatest common divisor of 1443 and 2353533?
Eval: 1443
Scenario: What is the highest common divisor of 196 and 1688932?
Eval: 196
Scenario: What is the greatest common factor of 266 and 23141258?
Eval: 14
Scenario: Calculate the greatest common factor of 18 and 11780595.
Eval: 9
Scenario: Calculate the highest common divisor of 411160 and 760.
Eval: 760
Scenario: Calculate the highest common divisor of 66538 and 68.
Eval: 34
Scenario: What is the greatest common divisor of 4860 and 27216?
Eval: 972
Scenario: What is the highest
|
english
|
numbers: place value
--------------------
Task: What is the ten thousands digit of 201018263?
Fix: 1
Task: What is the hundreds digit of 4902232?
Fix: 2
Task: What is the hundreds digit of 201623?
Fix: 6
Task: What is the units digit of 145320?
Fix: 0
Task: What is the tens digit of 1859?
Fix: 5
Task: What is the thousands digit of 12913?
Fix: 2
Task: What is the tens digit of 50556?
Fix: 5
Task: What is the thousands digit of 7220755?
Fix: 0
Task: What is the units digit of 3427808421?
Fix: 1
Task: What is the millions digit of 2774468?
Fix: 2
Task: What is the units digit of 237?
Fix: 7
Task: What is the tens digit of 98538?
Fix: 3
Task: What is the hundreds digit of 59034028?
Fix: 0
Task: What is the tens digit of 1242?
Fix: 4
Task: What is the thousands digit of 43350?
Fix: 3
Task: What is the tens digit of 5464618?
Fix: 1
Task: What is the millions digit of 1915491903?
Fix: 5
Task: What is the units digit of 6081?
Fix: 1
Task: What is the hundreds digit of 80507?
Fix: 5
Task: What is the thousands digit of 1068651?
Fix: 8
Task: What is the hundreds digit of 723?
Fix: 7
Task: What is the units digit of 320463?
Fix: 3
Task: What is the units digit of 1554902?
Fix: 2
Task: What is the thousands digit of 866932?
Fix: 6
Task: What is the hundred thousands digit of 11652423?
Fix: 6
Task: What is the units digit of 8017960?
Fix: 0
Task: What is the units digit of 3781?
Fix: 1
Task: What is the ten thousands digit of 1305485?
Fix: 0
Task: What is the tens digit of 1734356730?
Fix: 3
Task: What is the ten millions digit of 19877920?
Fix: 1
Task: What is the ten thousands digit of 2265334?
Fix: 6
Task: What is the hundred thousands digit of 91378372?
Fix: 3
Task: What is the thousands digit of 139579440?
Fix: 9
Task: What is the ten thousands digit of 9855770?
Fix: 5
Task: What is the hundreds digit of 7169455?
Fix: 4
Task: What is the units digit of 85851?
Fix: 1
Task: What is the hundred thousands digit of 205466970?
Fix: 4
Task: What is the units digit of 133761?
Fix:
|
english
|
numbers: lcm
------------
Test item: What is the smallest common multiple of 11680 and 148920?
Solution: 595680
Test item: Calculate the lowest common multiple of 4440 and 1776.
Solution: 8880
Test item: What is the common denominator of -101/4944 and 79/11124?
Solution: 44496
Test item: What is the smallest common multiple of 260 and 1012102?
Solution: 10121020
Test item: Calculate the lowest common multiple of 4544 and 2134.
Solution: 4848448
Test item: Calculate the common denominator of -19/764 and 54/11.
Solution: 8404
Test item: What is the common denominator of -28/95 and 33/20?
Solution: 380
Test item: What is the common denominator of 117/26325290 and -68/35?
Solution: 184277030
Test item: Calculate the common denominator of 27/120340 and -77/320.
Solution: 1925440
Test item: What is the common denominator of 1/4 and -63/238581440?
Solution: 238581440
Test item: Calculate the lowest common multiple of 80 and 336.
Solution: 1680
Test item: What is the smallest common multiple of 6 and 10?
Solution: 30
Test item: Calculate the lowest common multiple of 287982 and 4.
Solution: 575964
Test item: What is the common denominator of -71/6 and -125/23982?
Solution: 23982
Test item: Calculate the common denominator of 79/40 and -11/2.
Solution: 40
Test item: What is the common denominator of -89/1276 and -83/1330230?
Solution: 2660460
Test item: Find the common denominator of -65/33 and 23/33.
Solution: 33
Test item: What is the common denominator of -49/77663718 and 26/3?
Solution: 77663718
Test item: What is the smallest common multiple of 50890 and 11865?
Solution: 17251710
Test item: Calculate the smallest common multiple of 1125 and 30.
Solution: 2250
Test item: Calculate the lowest common multiple of 27 and 3585.
Solution: 32265
Test item: What is the lowest common multiple of 1328 and 528?
Solution: 43824
Test item: Find the common denominator of 9/15361 and 71/13271904.
Solution: 13271904
Test item: What is the least common multiple of 12366982 and 4?
Solutio
|
english
|
probability: swr p level set
----------------------------
Step: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from kpsss.
Ans: 3/10
Step: Two letters picked without replacement from ssussssusususz. What is prob of picking 1 u and 1 s?
Ans: 36/91
Step: Three letters picked without replacement from {v: 4, h: 2, z: 1, y: 4, q: 7}. What is prob of picking 1 v, 1 h, and 1 q?
Ans: 7/102
Step: Four letters picked without replacement from {w: 3, g: 4}. What is prob of picking 2 w and 2 g?
Ans: 18/35
Step: Two letters picked without replacement from {s: 2, z: 2, w: 1, c: 1, t: 1, j: 1}. Give prob of picking 1 t and 1 s.
Ans: 1/14
Step: What is prob of picking 1 k, 1 t, and 2 z when four letters picked without replacement from wzkwzt?
Ans: 1/15
Step: Four letters picked without replacement from ttjjwjwjtruv. Give prob of picking 1 v, 1 w, 1 r, and 1 t.
Ans: 2/165
Step: Calculate prob of picking 1 t and 3 l when four letters picked without replacement from {g: 2, l: 7, t: 4}.
Ans: 28/143
Step: Four letters picked without replacement from eiss. What is prob of picking 3 s and 1 e?
Ans: 0
Step: Two letters picked without replacement from {c: 2, f: 1, h: 2, o: 1, l: 1, q: 1}. What is prob of picking 1 q and 1 o?
Ans: 1/28
Step: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from uuuqqkqq.
Ans: 1/7
Step: Three letters picked without replacement from fma. Give prob of picking 1 a, 1 m, and 1 f.
Ans: 1
Step: Calculate prob of picking 2 u when two letters picked without replacement from kkuukukkuuuuuukuukkk.
Ans: 11/38
Step: What is prob of picking 1 s, 1 n, and 1 p when three letters picked without replacement from {s: 1, n: 2, l: 2, p: 1, f: 1, a: 1}?
Ans: 1/28
Step: What is prob of picking 2 d when two letters picked without replacement from {a: 2, d: 6}?
Ans: 15/28
Step: Calculate prob of picking 2 e when two letters picked without replacement from {e: 8, u: 1, n: 2, m: 4}.
Ans: 4/15
Step: Two letters picked w
|
english
|
numbers: is factor
------------------
Math Problem: Is 25 a factor of 936826?
Thus: False
Math Problem: Does 48 divide 547646?
Thus: False
Math Problem: Is 6 a factor of 77044303?
Thus: False
Math Problem: Is 13 a factor of 103382?
Thus: False
Math Problem: Does 50 divide 52642600?
Thus: True
Math Problem: Is 5 a factor of 32609475?
Thus: True
Math Problem: Does 175 divide 15085875?
Thus: True
Math Problem: Is 4834106 a multiple of 8?
Thus: False
Math Problem: Does 21 divide 14107989?
Thus: True
Math Problem: Is 621 a factor of 509841?
Thus: True
Math Problem: Does 2 divide 2754?
Thus: True
Math Problem: Is 232 a factor of 66403?
Thus: False
Math Problem: Does 5 divide 616710?
Thus: True
Math Problem: Does 16 divide 2144?
Thus: True
Math Problem: Is 99 a factor of 44748?
Thus: True
Math Problem: Does 13 divide 292412861?
Thus: True
Math Problem: Does 125 divide 62429?
Thus: False
Math Problem: Is 42645 a multiple of 15?
Thus: True
Math Problem: Does 6070 divide 320210710?
Thus: True
Math Problem: Is 2698517 a multiple of 818?
Thus: False
Math Problem: Is 18 a factor of 1856929?
Thus: False
Math Problem: Does 39 divide 128005581?
Thus: False
Math Problem: Is 763 a multiple of 15?
Thus: False
Math Problem: Is 175 a factor of 103075?
Thus: True
Math Problem: Is 50 a factor of 2450?
Thus: True
Math Problem: Does 85 divide 529?
Thus: False
Math Problem: Does 41 divide 2803477?
Thus: False
Math Problem: Does 519 divide 912921?
Thus: True
Math Problem: Is 33 a factor of 4828956?
Thus: True
Math Problem: Does 32 divide 96?
Thus: True
Math Problem: Is 1610146236 a multiple of 314?
Thus: False
Math Problem: Does 43 divide 66007?
Thus: False
Math Problem: Is 121 a factor of 12463?
Thus: True
Math Problem: Does 1217 divide 5436940198?
Thus: True
Math Problem: Does 27 divide 89586?
Thus: True
Math Problem: Does 75 divide 15186?
Thus: False
Math Problem: Is 1503 a multiple of 10?
Thus: False
Math Problem: Does 1262 divide 2566330968?
Thus: False
Math Problem: Does 303 divide 3069
|
english
|
numbers: div remainder
----------------------
Topic: Calculate the remainder when 884 is divided by 169.
Workthrough: 39
Topic: What is the remainder when 264969 is divided by 622?
Workthrough: 619
Topic: What is the remainder when 298 is divided by 50?
Workthrough: 48
Topic: Calculate the remainder when 159299 is divided by 3391.
Workthrough: 3313
Topic: Calculate the remainder when 8820 is divided by 259.
Workthrough: 14
Topic: Calculate the remainder when 1615 is divided by 142.
Workthrough: 53
Topic: What is the remainder when 225607 is divided by 523?
Workthrough: 194
Topic: What is the remainder when 14872457 is divided by 34994?
Workthrough: 7
Topic: What is the remainder when 11460 is divided by 51?
Workthrough: 36
Topic: What is the remainder when 757 is divided by 69?
Workthrough: 67
Topic: Calculate the remainder when 252794 is divided by 1830.
Workthrough: 254
Topic: What is the remainder when 126364 is divided by 306?
Workthrough: 292
Topic: Calculate the remainder when 1502 is divided by 7.
Workthrough: 4
Topic: What is the remainder when 239 is divided by 35?
Workthrough: 29
Topic: Calculate the remainder when 557 is divided by 37.
Workthrough: 2
Topic: Calculate the remainder when 27806 is divided by 13893.
Workthrough: 20
Topic: What is the remainder when 3311928 is divided by 483?
Workthrough: 480
Topic: Calculate the remainder when 121 is divided by 27.
Workthrough: 13
Topic: Calculate the remainder when 34828 is divided by 270.
Workthrough: 268
Topic: Calculate the remainder when 576270 is divided by 13.
Workthrough: 6
Topic: Calculate the remainder when 7492 is divided by 537.
Workthrough: 511
Topic: What is the remainder when 5994 is divided by 30?
Workthrough: 24
Topic: What is the remainder when 39574 is divided by 102?
Workthrough: 100
Topic: Calculate the remainder when 26114 is divided by 25989.
Workthrough: 125
Topic: What is the remainder when 3825 is divided by 66?
Workthrough: 63
Topic: Calculate the remainder when 12526 is divided by
|
english
|
probability: swr p sequence
---------------------------
Let us solve: What is prob of sequence ev when two letters picked without replacement from {e: 1, v: 1, b: 1}?
Solution: 1/6
Let us solve: Two letters picked without replacement from {m: 7, y: 4, n: 3}. What is prob of sequence yn?
Solution: 6/91
Let us solve: Four letters picked without replacement from {q: 6, r: 4}. What is prob of sequence rqrq?
Solution: 1/14
Let us solve: Two letters picked without replacement from tggrttchhcgmhhm. What is prob of sequence tr?
Solution: 1/70
Let us solve: Calculate prob of sequence gkn when three letters picked without replacement from {n: 2, i: 4, g: 2, k: 1}.
Solution: 1/126
Let us solve: Three letters picked without replacement from qiuuquuuquuquu. What is prob of sequence quq?
Solution: 9/182
Let us solve: Four letters picked without replacement from {r: 17, f: 2}. Give prob of sequence rrff.
Solution: 1/171
Let us solve: What is prob of sequence tr when two letters picked without replacement from tttrttrtttttrttttr?
Solution: 28/153
Let us solve: Two letters picked without replacement from {s: 3, o: 2}. Give prob of sequence so.
Solution: 3/10
Let us solve: Calculate prob of sequence uq when two letters picked without replacement from qqrqyqrwrrqqquyqrwu.
Solution: 8/171
Let us solve: Four letters picked without replacement from {o: 2, p: 2, t: 9, s: 1, f: 3, x: 1}. Give prob of sequence tttx.
Solution: 7/1020
Let us solve: What is prob of sequence tt when two letters picked without replacement from gtttttgttttt?
Solution: 15/22
Let us solve: What is prob of sequence ppx when three letters picked without replacement from rwrpwwwwwxwwwpowww?
Solution: 1/2448
Let us solve: Four letters picked without replacement from hhhhhxxxhhxhhhxhhhx. What is prob of sequence xxhx?
Solution: 65/3876
Let us solve: Two letters picked without replacement from ejjtejjtjjjttxjjj. Give prob of sequence jt.
Solution: 5/34
Let us solve: Two letters picked without replacement from wdk. Give p
|
english
|
numbers: place value
--------------------
Example: What is the thousands digit of 4605?
Clarification: 4
Example: What is the units digit of 322440066?
Clarification: 6
Example: What is the units digit of 5096516?
Clarification: 6
Example: What is the units digit of 1236?
Clarification: 6
Example: What is the tens digit of 7241986259?
Clarification: 5
Example: What is the hundred thousands digit of 631438?
Clarification: 6
Example: What is the millions digit of 1821023?
Clarification: 1
Example: What is the ten thousands digit of 3957867?
Clarification: 5
Example: What is the thousands digit of 43064?
Clarification: 3
Example: What is the millions digit of 12073989?
Clarification: 2
Example: What is the thousands digit of 97307?
Clarification: 7
Example: What is the millions digit of 14518516?
Clarification: 4
Example: What is the thousands digit of 53929?
Clarification: 3
Example: What is the units digit of 11641?
Clarification: 1
Example: What is the units digit of 2631?
Clarification: 1
Example: What is the units digit of 38027?
Clarification: 7
Example: What is the tens digit of 387199?
Clarification: 9
Example: What is the ten thousands digit of 979585?
Clarification: 7
Example: What is the ten thousands digit of 1122630221?
Clarification: 3
Example: What is the tens digit of 28593?
Clarification: 9
Example: What is the millions digit of 3105304?
Clarification: 3
Example: What is the hundreds digit of 4892467?
Clarification: 4
Example: What is the thousands digit of 84020058?
Clarification: 0
Example: What is the ten thousands digit of 7736684?
Clarification: 3
Example: What is the ten thousands digit of 1788330?
Clarification: 8
Example: What is the units digit of 977?
Clarification: 7
Example: What is the ten thousands digit of 4576601?
Clarification: 7
Example: What is the millions digit of 6316096?
Clarification: 6
Example: What is the hundred thousands digit of 403020622?
Clarification: 0
Example: What is the hundred thousands digit of 401825884?
Clarifica
|
english
|
numbers: div remainder
----------------------
Topic: What is the remainder when 31 is divided by 21?
Gives: 10
Topic: Calculate the remainder when 585 is divided by 147.
Gives: 144
Topic: Calculate the remainder when 81547671 is divided by 39.
Gives: 36
Topic: What is the remainder when 11409 is divided by 6?
Gives: 3
Topic: Calculate the remainder when 71296 is divided by 100.
Gives: 96
Topic: Calculate the remainder when 3654 is divided by 17.
Gives: 16
Topic: Calculate the remainder when 8117457 is divided by 57.
Gives: 30
Topic: Calculate the remainder when 18790428 is divided by 87.
Gives: 81
Topic: What is the remainder when 65794 is divided by 19?
Gives: 16
Topic: What is the remainder when 149222 is divided by 316?
Gives: 70
Topic: What is the remainder when 83261 is divided by 27751?
Gives: 8
Topic: What is the remainder when 94436 is divided by 1166?
Gives: 1156
Topic: What is the remainder when 51 is divided by 27?
Gives: 24
Topic: Calculate the remainder when 79903 is divided by 39947.
Gives: 9
Topic: What is the remainder when 216 is divided by 111?
Gives: 105
Topic: Calculate the remainder when 107426098 is divided by 115.
Gives: 113
Topic: Calculate the remainder when 107 is divided by 46.
Gives: 15
Topic: Calculate the remainder when 26085 is divided by 117.
Gives: 111
Topic: Calculate the remainder when 510 is divided by 114.
Gives: 54
Topic: Calculate the remainder when 262 is divided by 8.
Gives: 6
Topic: What is the remainder when 131511991 is divided by 99?
Gives: 94
Topic: Calculate the remainder when 15805132 is divided by 33.
Gives: 13
Topic: Calculate the remainder when 262 is divided by 33.
Gives: 31
Topic: What is the remainder when 39885837 is divided by 394909?
Gives: 28
Topic: Calculate the remainder when 3158658 is divided by 1579322.
Gives: 14
Topic: Calculate the remainder when 949521 is divided by 1008.
Gives: 993
Topic: What is the remainder when 2099768 is divided by 188?
Gives: 184
Topic: Calculate the remainder when 108249 is di
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english
|
measurement: time
-----------------
Task: How many minutes are there between 12:35 PM and 8:43 PM?
Workthrough: 488
Task: What is 159 minutes after 6:18 AM?
Workthrough: 8:57 AM
Task: How many minutes are there between 5:46 PM and 6:39 PM?
Workthrough: 53
Task: What is 56 minutes after 4:47 AM?
Workthrough: 5:43 AM
Task: What is 682 minutes before 7:43 PM?
Workthrough: 8:21 AM
Task: What is 175 minutes before 3:13 AM?
Workthrough: 12:18 AM
Task: What is 332 minutes after 1:57 AM?
Workthrough: 7:29 AM
Task: How many minutes are there between 6:41 PM and 2:23 AM?
Workthrough: 462
Task: What is 689 minutes after 10:24 AM?
Workthrough: 9:53 PM
Task: What is 420 minutes after 4:33 PM?
Workthrough: 11:33 PM
Task: How many minutes are there between 10:30 PM and 9:45 AM?
Workthrough: 675
Task: What is 446 minutes before 11:53 AM?
Workthrough: 4:27 AM
Task: What is 315 minutes before 1:16 AM?
Workthrough: 8:01 PM
Task: How many minutes are there between 4:00 AM and 4:53 AM?
Workthrough: 53
Task: How many minutes are there between 7:13 AM and 10:30 AM?
Workthrough: 197
Task: How many minutes are there between 12:43 PM and 11:03 PM?
Workthrough: 620
Task: How many minutes are there between 2:38 AM and 1:41 PM?
Workthrough: 663
Task: What is 398 minutes before 8:17 AM?
Workthrough: 1:39 AM
Task: How many minutes are there between 2:36 AM and 4:12 AM?
Workthrough: 96
Task: How many minutes are there between 5:43 PM and 2:38 AM?
Workthrough: 535
Task: What is 618 minutes before 4:55 AM?
Workthrough: 6:37 PM
Task: What is 144 minutes after 2:35 AM?
Workthrough: 4:59 AM
Task: What is 59 minutes before 2:15 AM?
Workthrough: 1:16 AM
Task: How many minutes are there between 9:00 PM and 10:31 PM?
Workthrough: 91
Task: What is 586 minutes before 2:11 AM?
Workthrough: 4:25 PM
Task: What is 559 minutes before 3:02 PM?
Workthrough: 5:43 AM
Task: What is 305 minutes before 1:16 PM?
Workthrough: 8:11 AM
Task: What is 719 minutes before 8:09 AM?
Workthrough: 8:10 PM
Task: What is 141 minutes
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english
|
measurement: conversion
-----------------------
Math Problem: How many nanograms are there in seven quarters of a microgram?
Ans: 1750
Math Problem: How many nanograms are there in 7/4 of a microgram?
Ans: 1750
Math Problem: What is 87.53299 millilitres in litres?
Ans: 0.08753299
Math Problem: How many nanograms are there in five eighths of a microgram?
Ans: 625
Math Problem: What is 980.2153ug in tonnes?
Ans: 0.0000000009802153
Math Problem: What is 606.97l in millilitres?
Ans: 606970
Math Problem: How many meters are there in eleven eighths of a kilometer?
Ans: 1375
Math Problem: Convert 897.6273um to kilometers.
Ans: 0.0000008976273
Math Problem: What is twenty-nine fifths of a day in minutes?
Ans: 8352
Math Problem: What is 482.88852ns in days?
Ans: 0.0000000000055889875
Math Problem: How many micrometers are there in seventeen quarters of a centimeter?
Ans: 42500
Math Problem: How many kilometers are there in 667.2793 centimeters?
Ans: 0.006672793
Math Problem: What is 308797.1 centuries in years?
Ans: 30879710
Math Problem: How many nanograms are there in five eighths of a microgram?
Ans: 625
Math Problem: What is eleven halves of a milligram in micrograms?
Ans: 5500
Math Problem: How many millimeters are there in eleven quarters of a meter?
Ans: 2750
Math Problem: What is 52/5 of a litre in millilitres?
Ans: 10400
Math Problem: How many centuries are there in 0.3864568 decades?
Ans: 0.03864568
Math Problem: How many centimeters are there in 0.0513716 kilometers?
Ans: 5137.16
Math Problem: Convert 8723.892 millennia to decades.
Ans: 872389.2
Math Problem: What is 72.25212 millennia in centuries?
Ans: 722.5212
Math Problem: What is 21/2 of a meter in centimeters?
Ans: 1050
Math Problem: How many centimeters are there in 3/25 of a meter?
Ans: 12
Math Problem: What is 4/7 of a week in hours?
Ans: 96
Math Problem: How many hours are there in seven quarters of a week?
Ans: 294
Math Problem: Convert 0.0719441 centuries to months.
Ans: 86.33292
Math Problem: How many
|
english
|
numbers: div remainder
----------------------
Challenge: Calculate the remainder when 57188 is divided by 561.
Soln: 527
Challenge: Calculate the remainder when 83 is divided by 3.
Soln: 2
Challenge: Calculate the remainder when 258 is divided by 87.
Soln: 84
Challenge: Calculate the remainder when 213 is divided by 16.
Soln: 5
Challenge: Calculate the remainder when 13085213 is divided by 231.
Soln: 218
Challenge: What is the remainder when 1369603 is divided by 35118?
Soln: 1
Challenge: What is the remainder when 1795 is divided by 29?
Soln: 26
Challenge: Calculate the remainder when 314608 is divided by 1550.
Soln: 1508
Challenge: Calculate the remainder when 15762 is divided by 919.
Soln: 139
Challenge: Calculate the remainder when 33486 is divided by 4312.
Soln: 3302
Challenge: What is the remainder when 32022 is divided by 240?
Soln: 102
Challenge: Calculate the remainder when 35327 is divided by 207.
Soln: 137
Challenge: What is the remainder when 8076 is divided by 59?
Soln: 52
Challenge: Calculate the remainder when 100 is divided by 29.
Soln: 13
Challenge: Calculate the remainder when 3239 is divided by 53.
Soln: 6
Challenge: What is the remainder when 316848 is divided by 3643?
Soln: 3550
Challenge: Calculate the remainder when 34973 is divided by 131.
Soln: 127
Challenge: What is the remainder when 17027386 is divided by 1414?
Soln: 1412
Challenge: Calculate the remainder when 55308431 is divided by 16.
Soln: 15
Challenge: What is the remainder when 2868 is divided by 64?
Soln: 52
Challenge: What is the remainder when 355832 is divided by 29651?
Soln: 20
Challenge: Calculate the remainder when 199141 is divided by 21.
Soln: 19
Challenge: What is the remainder when 225 is divided by 27?
Soln: 9
Challenge: Calculate the remainder when 46658629 is divided by 17135.
Soln: 24
Challenge: Calculate the remainder when 713 is divided by 48.
Soln: 41
Challenge: What is the remainder when 2035448 is divided by 2035415?
Soln: 33
Challenge: What is the remainder when
|
english
|
numbers: is prime
-----------------
Topic: Is 3532881721 prime?
Answer: True
Topic: Is 30260059 composite?
Answer: False
Topic: Is 823688519 prime?
Answer: True
Topic: Is 21263 prime?
Answer: False
Topic: Is 446 a composite number?
Answer: True
Topic: Is 47629 a prime number?
Answer: True
Topic: Is 38011453 composite?
Answer: False
Topic: Is 674510413 composite?
Answer: True
Topic: Is 13457 a composite number?
Answer: False
Topic: Is 6756123851 a prime number?
Answer: True
Topic: Is 6113491 prime?
Answer: True
Topic: Is 2597927051 a composite number?
Answer: False
Topic: Is 10977271 composite?
Answer: True
Topic: Is 5931353 a prime number?
Answer: False
Topic: Is 662345731 prime?
Answer: True
Topic: Is 16811 a prime number?
Answer: True
Topic: Is 52655089 a composite number?
Answer: True
Topic: Is 162143 composite?
Answer: False
Topic: Is 46154587 a composite number?
Answer: False
Topic: Is 1677920221 a prime number?
Answer: False
Topic: Is 164863 prime?
Answer: False
Topic: Is 53532467 a prime number?
Answer: False
Topic: Is 15079 composite?
Answer: True
Topic: Is 2792892287 a composite number?
Answer: True
Topic: Is 22189 prime?
Answer: True
Topic: Is 16217 a composite number?
Answer: False
Topic: Is 11522053 a prime number?
Answer: True
Topic: Is 104564918 a prime number?
Answer: False
Topic: Is 56193 prime?
Answer: False
Topic: Is 7337784299 a prime number?
Answer: True
Topic: Is 7192351 a prime number?
Answer: False
Topic: Is 61001 prime?
Answer: True
Topic: Is 82339 composite?
Answer: False
Topic: Is 1959580669 prime?
Answer: True
Topic: Is 68013631 a prime number?
Answer: False
Topic: Is 939881 a composite number?
Answer: False
Topic: Is 782262479 a composite number?
Answer: False
Topic: Is 20589707 a composite number?
Answer: False
Topic: Is 2826895 a composite number?
Answer: True
Topic: Is 118227 composite?
Answer: True
Topic: Is 951961 prime?
Answer: False
Topic: Is 1568765111 a prime number?
Answer: True
Topic: Is 14357437 a composite number?
Answer: Fal
|
english
|
arithmetic: nearest integer root
--------------------------------
Item: What is the square root of 32548414 to the nearest integer?
Calculation: 5705
Item: What is the cube root of 698022 to the nearest integer?
Calculation: 89
Item: What is 6443 to the power of 1/3, to the nearest integer?
Calculation: 19
Item: What is the cube root of 66218609 to the nearest integer?
Calculation: 405
Item: What is the square root of 90542 to the nearest integer?
Calculation: 301
Item: What is 3562812 to the power of 1/2, to the nearest integer?
Calculation: 1888
Item: What is the third root of 85982525 to the nearest integer?
Calculation: 441
Item: What is 15876596 to the power of 1/8, to the nearest integer?
Calculation: 8
Item: What is 80595 to the power of 1/2, to the nearest integer?
Calculation: 284
Item: What is the cube root of 41211 to the nearest integer?
Calculation: 35
Item: What is the square root of 579858 to the nearest integer?
Calculation: 761
Item: What is the square root of 999908489 to the nearest integer?
Calculation: 31621
Item: What is 23795 to the power of 1/2, to the nearest integer?
Calculation: 154
Item: What is the cube root of 520562603 to the nearest integer?
Calculation: 804
Item: What is the cube root of 206482 to the nearest integer?
Calculation: 59
Item: What is the square root of 242387576 to the nearest integer?
Calculation: 15569
Item: What is the third root of 113917184 to the nearest integer?
Calculation: 485
Item: What is 179361710 to the power of 1/2, to the nearest integer?
Calculation: 13393
Item: What is the third root of 5353 to the nearest integer?
Calculation: 17
Item: What is 1549699555 to the power of 1/5, to the nearest integer?
Calculation: 69
Item: What is 102014209 to the power of 1/8, to the nearest integer?
Calculation: 10
Item: What is 144676 to the power of 1/2, to the nearest integer?
Calculation: 380
Item: What is 1758582 to the power of 1/8, to the nearest integer?
Calculation: 6
Item: What is 68461 to the power of 1/10, t
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english
|
probability: swr p sequence
---------------------------
Challenge: What is prob of sequence pnww when four letters picked without replacement from {w: 2, s: 2, p: 1, n: 1}?
Answer: 1/180
Challenge: Two letters picked without replacement from {k: 7, q: 7}. What is prob of sequence kq?
Answer: 7/26
Challenge: Three letters picked without replacement from {y: 2, q: 1, u: 4, z: 4, g: 1, h: 3}. Give prob of sequence qgh.
Answer: 1/910
Challenge: Calculate prob of sequence ow when two letters picked without replacement from {q: 1, w: 4, f: 1, o: 1, m: 5}.
Answer: 1/33
Challenge: Two letters picked without replacement from ulegclo. Give prob of sequence og.
Answer: 1/42
Challenge: Three letters picked without replacement from hhwwhhihzwhgwhhhwhwh. Give prob of sequence hhi.
Answer: 11/684
Challenge: Two letters picked without replacement from {y: 1, v: 2, d: 1, l: 1}. What is prob of sequence ll?
Answer: 0
Challenge: Two letters picked without replacement from {w: 2, x: 4, a: 6, d: 1, u: 4, s: 1}. What is prob of sequence ww?
Answer: 1/153
Challenge: What is prob of sequence bcvi when four letters picked without replacement from {i: 2, c: 1, b: 1, v: 1, f: 1, q: 1}?
Answer: 1/420
Challenge: What is prob of sequence gqq when three letters picked without replacement from qqgqqqgggqqg?
Answer: 7/44
Challenge: Calculate prob of sequence qq when two letters picked without replacement from {o: 1, q: 2, t: 1}.
Answer: 1/6
Challenge: Calculate prob of sequence vycv when four letters picked without replacement from {y: 1, f: 1, v: 2, c: 1}.
Answer: 1/60
Challenge: Calculate prob of sequence dd when two letters picked without replacement from dlllddddldd.
Answer: 21/55
Challenge: What is prob of sequence ad when two letters picked without replacement from {d: 2, j: 1, z: 1, g: 2, a: 1}?
Answer: 1/21
Challenge: Four letters picked without replacement from {y: 10, b: 2}. Give prob of sequence yybb.
Answer: 1/66
Challenge: What is prob of sequence mnll when four letters picked without
|
english
|
numbers: place value
--------------------
Example: What is the ten thousands digit of 3085921?
Response: 8
Example: What is the millions digit of 2579721?
Response: 2
Example: What is the thousands digit of 587354?
Response: 7
Example: What is the thousands digit of 156108?
Response: 6
Example: What is the ten millions digit of 257856445?
Response: 5
Example: What is the hundreds digit of 361597?
Response: 5
Example: What is the ten thousands digit of 51642526?
Response: 4
Example: What is the hundreds digit of 1627?
Response: 6
Example: What is the thousands digit of 81527?
Response: 1
Example: What is the ten thousands digit of 73799?
Response: 7
Example: What is the hundred thousands digit of 29376072?
Response: 3
Example: What is the hundreds digit of 9499908?
Response: 9
Example: What is the units digit of 542021?
Response: 1
Example: What is the millions digit of 2906301317?
Response: 6
Example: What is the ten thousands digit of 1754926?
Response: 5
Example: What is the tens digit of 348?
Response: 4
Example: What is the units digit of 659?
Response: 9
Example: What is the billions digit of 2429247117?
Response: 2
Example: What is the tens digit of 5990073036?
Response: 3
Example: What is the hundreds digit of 429266?
Response: 2
Example: What is the tens digit of 613268?
Response: 6
Example: What is the thousands digit of 21948952?
Response: 8
Example: What is the hundred thousands digit of 2036944?
Response: 0
Example: What is the thousands digit of 1887090?
Response: 7
Example: What is the tens digit of 32602?
Response: 0
Example: What is the hundred thousands digit of 2740357?
Response: 7
Example: What is the hundred millions digit of 6274352029?
Response: 2
Example: What is the units digit of 1582369194?
Response: 4
Example: What is the hundreds digit of 1490847929?
Response: 9
Example: What is the hundred thousands digit of 2979611145?
Response: 6
Example: What is the ten thousands digit of 58621?
Response: 5
Example: What is the units digit of 9104?
Re
|
english
|
numbers: is prime
-----------------
Given: Is 18440166827 prime?
Key: False
Given: Is 59771 a composite number?
Key: False
Given: Is 6907 a composite number?
Key: False
Given: Is 1823932553 composite?
Key: True
Given: Is 26014529 a composite number?
Key: True
Given: Is 3251447 composite?
Key: False
Given: Is 206610941 prime?
Key: True
Given: Is 1157 prime?
Key: False
Given: Is 17621 a composite number?
Key: True
Given: Is 1913 prime?
Key: True
Given: Is 893777 a composite number?
Key: False
Given: Is 287515 composite?
Key: True
Given: Is 18431 prime?
Key: False
Given: Is 1405897 composite?
Key: True
Given: Is 83543177 composite?
Key: False
Given: Is 1490207 a prime number?
Key: True
Given: Is 1496483 prime?
Key: False
Given: Is 744415219 a composite number?
Key: False
Given: Is 3155374126 a composite number?
Key: True
Given: Is 32629 a composite number?
Key: True
Given: Is 10159407421 a prime number?
Key: False
Given: Is 3371297 a composite number?
Key: False
Given: Is 13649 composite?
Key: False
Given: Is 607572389 a prime number?
Key: True
Given: Is 2838443941 a composite number?
Key: True
Given: Is 84103339 prime?
Key: False
Given: Is 8909807 prime?
Key: True
Given: Is 6087787 prime?
Key: True
Given: Is 10478161 prime?
Key: True
Given: Is 169429 a composite number?
Key: True
Given: Is 4383778897 prime?
Key: True
Given: Is 31918727413 a composite number?
Key: False
Given: Is 335573531 a composite number?
Key: False
Given: Is 55952291 a composite number?
Key: False
Given: Is 22198601371 composite?
Key: False
Given: Is 97590967 prime?
Key: False
Given: Is 3297647 composite?
Key: False
Given: Is 1864607929 a prime number?
Key: True
Given: Is 2173739 a prime number?
Key: False
Given: Is 253709 a composite number?
Key: True
Given: Is 5481556163 composite?
Key: True
Given: Is 415544557 a prime number?
Key: True
Given: Is 99029323 a composite number?
Key: False
Given: Is 92095390313 a composite number?
Key: True
Given: Is 14923 a composite number?
Key: False
Given: Is 41
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english
|
probability: swr p sequence
---------------------------
Item: Four letters picked without replacement from mbmmmmmmbmmmmmmmmmm. What is prob of sequence mbmb?
Solution: 1/171
Item: What is prob of sequence xx when two letters picked without replacement from {z: 16, x: 2}?
Solution: 1/153
Item: What is prob of sequence xbs when three letters picked without replacement from xbsbsxxxs?
Solution: 1/21
Item: What is prob of sequence xm when two letters picked without replacement from {v: 1, x: 1, r: 1, l: 2, n: 2, m: 1}?
Solution: 1/56
Item: Two letters picked without replacement from cvcvveeccc. Give prob of sequence ee.
Solution: 1/45
Item: Three letters picked without replacement from {r: 7, p: 2, l: 7}. Give prob of sequence llp.
Solution: 1/40
Item: Four letters picked without replacement from {n: 9, y: 5}. What is prob of sequence ynyn?
Solution: 60/1001
Item: Three letters picked without replacement from crprprrpcpcrcppcpp. Give prob of sequence prc.
Solution: 25/612
Item: Calculate prob of sequence lzl when three letters picked without replacement from {l: 7, z: 1}.
Solution: 1/8
Item: What is prob of sequence ud when two letters picked without replacement from {v: 4, d: 1, m: 2, w: 3, u: 1}?
Solution: 1/110
Item: Three letters picked without replacement from {c: 9, z: 5}. What is prob of sequence czz?
Solution: 15/182
Item: What is prob of sequence pnp when three letters picked without replacement from {n: 2, p: 5}?
Solution: 4/21
Item: Calculate prob of sequence lll when three letters picked without replacement from {l: 8, v: 5, w: 4}.
Solution: 7/85
Item: Calculate prob of sequence kj when two letters picked without replacement from kkkksjs.
Solution: 2/21
Item: Two letters picked without replacement from {b: 2, w: 8}. Give prob of sequence bw.
Solution: 8/45
Item: Calculate prob of sequence wim when three letters picked without replacement from mmmmmmmmwmmmmi.
Solution: 1/182
Item: What is prob of sequence mjps when four letters picked without replacement fro
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english
|
numbers: place value
--------------------
Example: What is the millions digit of 471330314?
Interpretation: 1
Example: What is the hundreds digit of 16934?
Interpretation: 9
Example: What is the ten thousands digit of 54064?
Interpretation: 5
Example: What is the hundred thousands digit of 248332?
Interpretation: 2
Example: What is the hundreds digit of 4192?
Interpretation: 1
Example: What is the ten thousands digit of 1461400?
Interpretation: 6
Example: What is the millions digit of 43049730?
Interpretation: 3
Example: What is the tens digit of 4257013?
Interpretation: 1
Example: What is the ten thousands digit of 215665011?
Interpretation: 6
Example: What is the thousands digit of 33562802?
Interpretation: 2
Example: What is the units digit of 97316359?
Interpretation: 9
Example: What is the thousands digit of 2557?
Interpretation: 2
Example: What is the units digit of 4321124?
Interpretation: 4
Example: What is the units digit of 64?
Interpretation: 4
Example: What is the units digit of 8082?
Interpretation: 2
Example: What is the units digit of 2149?
Interpretation: 9
Example: What is the units digit of 5469?
Interpretation: 9
Example: What is the thousands digit of 20941790?
Interpretation: 1
Example: What is the hundreds digit of 1167?
Interpretation: 1
Example: What is the tens digit of 1560?
Interpretation: 6
Example: What is the hundreds digit of 14708?
Interpretation: 7
Example: What is the units digit of 226577?
Interpretation: 7
Example: What is the thousands digit of 1887913?
Interpretation: 7
Example: What is the ten millions digit of 475369908?
Interpretation: 7
Example: What is the tens digit of 1208549445?
Interpretation: 4
Example: What is the units digit of 543?
Interpretation: 3
Example: What is the tens digit of 697?
Interpretation: 9
Example: What is the hundred thousands digit of 1106313280?
Interpretation: 3
Example: What is the thousands digit of 10895?
Interpretation: 0
Example: What is the units digit of 1038?
Interpretation: 8
Example: W
|
english
|
arithmetic: nearest integer root
--------------------------------
Ask: What is the square root of 8206637989 to the nearest integer?
A: 90590
Ask: What is the third root of 136108 to the nearest integer?
A: 51
Ask: What is the square root of 14688571 to the nearest integer?
A: 3833
Ask: What is the fourth root of 916095174 to the nearest integer?
A: 174
Ask: What is 1782916790 to the power of 1/8, to the nearest integer?
A: 14
Ask: What is 15786285 to the power of 1/3, to the nearest integer?
A: 251
Ask: What is 1396914 to the power of 1/8, to the nearest integer?
A: 6
Ask: What is the square root of 2427466223 to the nearest integer?
A: 49269
Ask: What is 303 to the power of 1/4, to the nearest integer?
A: 4
Ask: What is the fifth root of 3573 to the nearest integer?
A: 5
Ask: What is the square root of 1050829202 to the nearest integer?
A: 32416
Ask: What is 7092676819 to the power of 1/10, to the nearest integer?
A: 10
Ask: What is 85021 to the power of 1/2, to the nearest integer?
A: 292
Ask: What is the third root of 594357 to the nearest integer?
A: 84
Ask: What is 1442 to the power of 1/3, to the nearest integer?
A: 11
Ask: What is 19738769 to the power of 1/10, to the nearest integer?
A: 5
Ask: What is the cube root of 7447169108 to the nearest integer?
A: 1953
Ask: What is 15291999 to the power of 1/3, to the nearest integer?
A: 248
Ask: What is the fifth root of 526757360 to the nearest integer?
A: 56
Ask: What is the cube root of 936027 to the nearest integer?
A: 98
Ask: What is the fifth root of 10414 to the nearest integer?
A: 6
Ask: What is 1618096 to the power of 1/8, to the nearest integer?
A: 6
Ask: What is 227908 to the power of 1/9, to the nearest integer?
A: 4
Ask: What is 2394 to the power of 1/4, to the nearest integer?
A: 7
Ask: What is 37470 to the power of 1/3, to the nearest integer?
A: 33
Ask: What is 114255 to the power of 1/3, to the nearest integer?
A: 49
Ask: What is 2221735 to the power of 1/2, to the nearest integer?
A: 1491
Ask: Wha
|
english
|
measurement: conversion
-----------------------
Task: What is fourty-eight fifths of a litre in millilitres?
Sol: 9600
Task: How many millilitres are there in 56562.39l?
Sol: 56562390
Task: How many centuries are there in 39201.38 decades?
Sol: 3920.138
Task: How many kilograms are there in 31/5 of a tonne?
Sol: 6200
Task: How many months are there in one fifteenth of a millennium?
Sol: 800
Task: How many microseconds are there in one tenth of a millisecond?
Sol: 100
Task: What is one quarter of a kilogram in grams?
Sol: 250
Task: How many centimeters are there in 21/2 of a meter?
Sol: 1050
Task: What is three fifths of a centimeter in millimeters?
Sol: 6
Task: How many millilitres are there in six fifths of a litre?
Sol: 1200
Task: What is five sixths of a century in months?
Sol: 1000
Task: Convert 92.41313 decades to months.
Sol: 11089.5756
Task: Convert 1862.754 millilitres to litres.
Sol: 1.862754
Task: What is 3/25 of a litre in millilitres?
Sol: 120
Task: What is 13/5 of a hour in seconds?
Sol: 9360
Task: What is 29/5 of a week in minutes?
Sol: 58464
Task: How many decades are there in 7831.03 centuries?
Sol: 78310.3
Task: What is 90613.15s in microseconds?
Sol: 90613150000
Task: What is eight thirds of a century in months?
Sol: 3200
Task: How many meters are there in three eighths of a kilometer?
Sol: 375
Task: How many years are there in 1/5 of a decade?
Sol: 2
Task: How many months are there in 67/4 of a century?
Sol: 20100
Task: How many minutes are there in 1/5 of a day?
Sol: 288
Task: How many grams are there in 67/5 of a kilogram?
Sol: 13400
Task: How many milliseconds are there in 1/36 of a hour?
Sol: 100000
Task: Convert 16.72688 days to microseconds.
Sol: 1445202432000
Task: What is 0.185212 millilitres in litres?
Sol: 0.000185212
Task: How many litres are there in 0.5788045ml?
Sol: 0.0005788045
Task: What is 45/4 of a litre in millilitres?
Sol: 11250
Task: What is three fifths of a meter in centimeters?
Sol: 60
Task: How many decades are there in on
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english
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numbers: is factor
------------------
Puzzle: Is 620 a multiple of 4?
Answer: True
Puzzle: Is 1383779725 a multiple of 19?
Answer: False
Puzzle: Is 65238 even?
Answer: True
Puzzle: Is 833328 a multiple of 9?
Answer: True
Puzzle: Is 31 a factor of 465249922?
Answer: True
Puzzle: Is 11 a factor of 2057?
Answer: True
Puzzle: Is 76153 a multiple of 43?
Answer: True
Puzzle: Is 29 a factor of 900?
Answer: False
Puzzle: Is 649 a factor of 1367861?
Answer: False
Puzzle: Is 18 a factor of 352?
Answer: False
Puzzle: Does 64 divide 1043328?
Answer: True
Puzzle: Does 54 divide 1101924?
Answer: True
Puzzle: Is 3660647 a multiple of 143?
Answer: False
Puzzle: Is 16 a factor of 46752?
Answer: True
Puzzle: Does 69 divide 116?
Answer: False
Puzzle: Is 13 a factor of 21883025?
Answer: False
Puzzle: Is 7 a factor of 364?
Answer: True
Puzzle: Is 481591698 a multiple of 10?
Answer: False
Puzzle: Is 153557 a multiple of 529?
Answer: False
Puzzle: Does 8 divide 508478416?
Answer: True
Puzzle: Does 5 divide 4243?
Answer: False
Puzzle: Is 28797939 a multiple of 73?
Answer: False
Puzzle: Is 48 a factor of 119297?
Answer: False
Puzzle: Is 36 a factor of 573690528?
Answer: True
Puzzle: Does 16 divide 5984624?
Answer: True
Puzzle: Is 20703 a multiple of 201?
Answer: True
Puzzle: Is 11692 a multiple of 86?
Answer: False
Puzzle: Does 353 divide 32202778?
Answer: True
Puzzle: Does 32 divide 630?
Answer: False
Puzzle: Is 1457248419 a multiple of 1397?
Answer: True
Puzzle: Does 8 divide 9046?
Answer: False
Puzzle: Does 48 divide 17773152?
Answer: True
Puzzle: Does 17 divide 300339?
Answer: True
Puzzle: Does 70 divide 2520?
Answer: True
Puzzle: Is 23517 a multiple of 201?
Answer: True
Puzzle: Does 12 divide 3144?
Answer: True
Puzzle: Does 28 divide 4178?
Answer: False
Puzzle: Does 19 divide 868973384?
Answer: False
Puzzle: Is 9 a factor of 28427?
Answer: False
Puzzle: Is 31 a factor of 4322519?
Answer: False
Puzzle: Does 385 divide 1017056849?
Answer: False
Puzzle: Is 3111 a multiple of 22?
Answer: F
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numbers: gcd
------------
Puzzle: What is the highest common factor of 29 and 7047?
Soln: 29
Puzzle: Calculate the highest common divisor of 27 and 22329.
Soln: 27
Puzzle: What is the greatest common factor of 6716 and 1863?
Soln: 23
Puzzle: What is the greatest common factor of 402 and 40796166?
Soln: 402
Puzzle: What is the highest common factor of 2318556 and 404?
Soln: 404
Puzzle: What is the greatest common divisor of 64630 and 690?
Soln: 230
Puzzle: Calculate the greatest common divisor of 8 and 58448.
Soln: 8
Puzzle: Calculate the greatest common factor of 98 and 420574399.
Soln: 49
Puzzle: Calculate the greatest common factor of 165831 and 530058.
Soln: 501
Puzzle: What is the highest common divisor of 133 and 315?
Soln: 7
Puzzle: Calculate the highest common divisor of 2112 and 4360224.
Soln: 1056
Puzzle: What is the highest common divisor of 97012091 and 23?
Soln: 23
Puzzle: Calculate the greatest common divisor of 1787160 and 4982.
Soln: 106
Puzzle: What is the greatest common divisor of 4236 and 1020?
Soln: 12
Puzzle: Calculate the highest common factor of 270132 and 348.
Soln: 12
Puzzle: What is the greatest common factor of 10 and 95420?
Soln: 10
Puzzle: What is the greatest common factor of 2974 and 7228307?
Soln: 1487
Puzzle: What is the highest common divisor of 480 and 17001240?
Soln: 120
Puzzle: Calculate the greatest common factor of 91 and 7.
Soln: 7
Puzzle: Calculate the highest common factor of 111150 and 2700.
Soln: 450
Puzzle: Calculate the greatest common divisor of 8976 and 626824.
Soln: 1496
Puzzle: Calculate the greatest common divisor of 2800 and 15857800.
Soln: 1400
Puzzle: Calculate the greatest common divisor of 2340601 and 61473.
Soln: 661
Puzzle: Calculate the highest common divisor of 1384 and 14584.
Soln: 8
Puzzle: Calculate the greatest common factor of 8 and 1382.
Soln: 2
Puzzle: What is the greatest common factor of 178174841 and 5915?
Soln: 169
Puzzle: Calculate the greatest common factor of 4109084 and 3636.
Soln: 404
Puzzle
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english
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probability: swr p level set
----------------------------
Math Problem: Four letters picked without replacement from hjjagjajjgjjjj. What is prob of picking 2 a and 2 j?
Sol: 36/1001
Math Problem: Two letters picked without replacement from {g: 1, k: 1, r: 1, o: 1, u: 1}. Give prob of picking 1 r and 1 g.
Sol: 1/10
Math Problem: Two letters picked without replacement from mmhazzcd. Give prob of picking 1 z and 1 d.
Sol: 1/14
Math Problem: What is prob of picking 1 w, 2 h, and 1 i when four letters picked without replacement from {h: 2, i: 2, w: 1}?
Sol: 2/5
Math Problem: What is prob of picking 2 v when two letters picked without replacement from {r: 3, g: 2, v: 3}?
Sol: 3/28
Math Problem: Calculate prob of picking 3 u and 1 t when four letters picked without replacement from dvlldvdultg.
Sol: 0
Math Problem: Four letters picked without replacement from {l: 5, s: 8, p: 1, q: 2}. What is prob of picking 1 q, 1 p, and 2 l?
Sol: 1/91
Math Problem: Three letters picked without replacement from mgtgcrtccrctmcrcgcr. Give prob of picking 1 g and 2 m.
Sol: 1/323
Math Problem: What is prob of picking 2 p when two letters picked without replacement from kppk?
Sol: 1/6
Math Problem: Four letters picked without replacement from qxgqqgxxggq. What is prob of picking 2 q and 2 x?
Sol: 3/55
Math Problem: What is prob of picking 2 f and 1 w when three letters picked without replacement from fffffoffnfwnnnngfnff?
Sol: 11/228
Math Problem: Three letters picked without replacement from zhzhzuprpap. What is prob of picking 1 z, 1 a, and 1 h?
Sol: 2/55
Math Problem: Calculate prob of picking 2 a when two letters picked without replacement from adaaaaaadadaaaaaadaa.
Sol: 12/19
Math Problem: What is prob of picking 2 d when two letters picked without replacement from eeeeeeeededdeeee?
Sol: 1/40
Math Problem: Three letters picked without replacement from cmccdzccdczztt. Give prob of picking 2 t and 1 z.
Sol: 3/364
Math Problem: What is prob of picking 2 e when two letters picked without rep
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english
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arithmetic: nearest integer root
--------------------------------
Exercise: What is the square root of 223398 to the nearest integer?
Key: 473
Exercise: What is the square root of 1631 to the nearest integer?
Key: 40
Exercise: What is 1492086844 to the power of 1/3, to the nearest integer?
Key: 1143
Exercise: What is the cube root of 1102721 to the nearest integer?
Key: 103
Exercise: What is 1458777 to the power of 1/2, to the nearest integer?
Key: 1208
Exercise: What is 362988 to the power of 1/2, to the nearest integer?
Key: 602
Exercise: What is the third root of 633 to the nearest integer?
Key: 9
Exercise: What is the square root of 147884700 to the nearest integer?
Key: 12161
Exercise: What is 865 to the power of 1/4, to the nearest integer?
Key: 5
Exercise: What is the square root of 577 to the nearest integer?
Key: 24
Exercise: What is the fifth root of 8483 to the nearest integer?
Key: 6
Exercise: What is 188386 to the power of 1/2, to the nearest integer?
Key: 434
Exercise: What is 6483 to the power of 1/3, to the nearest integer?
Key: 19
Exercise: What is the square root of 9530755 to the nearest integer?
Key: 3087
Exercise: What is the seventh root of 30269743 to the nearest integer?
Key: 12
Exercise: What is the cube root of 497 to the nearest integer?
Key: 8
Exercise: What is the fourth root of 39465 to the nearest integer?
Key: 14
Exercise: What is the sixth root of 27379763 to the nearest integer?
Key: 17
Exercise: What is the tenth root of 1184794124 to the nearest integer?
Key: 8
Exercise: What is the square root of 91140207 to the nearest integer?
Key: 9547
Exercise: What is 249 to the power of 1/2, to the nearest integer?
Key: 16
Exercise: What is 6805154 to the power of 1/7, to the nearest integer?
Key: 9
Exercise: What is the third root of 9375350 to the nearest integer?
Key: 211
Exercise: What is 8791359 to the power of 1/2, to the nearest integer?
Key: 2965
Exercise: What is 888622 to the power of 1/6, to the nearest integer?
Key: 10
Exercise:
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english
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probability: swr p level set
----------------------------
What if: What is prob of picking 4 f when four letters picked without replacement from {f: 5, w: 2, y: 7}?
Therefore: 5/1001
What if: What is prob of picking 1 a and 1 h when two letters picked without replacement from tbhar?
Therefore: 1/10
What if: What is prob of picking 2 d and 2 u when four letters picked without replacement from {d: 12, x: 3, s: 2, u: 3}?
Therefore: 66/1615
What if: What is prob of picking 1 p and 1 x when two letters picked without replacement from uupppuuppux?
Therefore: 1/11
What if: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from jtdtclttjjc.
Therefore: 1/55
What if: Calculate prob of picking 2 u when two letters picked without replacement from kguhkpgppvgvpvuh.
Therefore: 1/120
What if: What is prob of picking 2 u when two letters picked without replacement from cucu?
Therefore: 1/6
What if: Three letters picked without replacement from {x: 11, s: 2, o: 1, h: 2, u: 2, r: 1}. Give prob of picking 1 u and 2 s.
Therefore: 2/969
What if: What is prob of picking 2 u when two letters picked without replacement from iuuirurruioroii?
Therefore: 2/35
What if: What is prob of picking 1 j and 1 k when two letters picked without replacement from {k: 4, n: 1, j: 2, z: 1, x: 1}?
Therefore: 2/9
What if: Two letters picked without replacement from {w: 2, n: 3}. Give prob of picking 2 n.
Therefore: 3/10
What if: What is prob of picking 1 a, 1 s, and 1 k when three letters picked without replacement from {s: 2, a: 5, k: 6}?
Therefore: 30/143
What if: What is prob of picking 1 y and 2 l when three letters picked without replacement from {l: 2, t: 1, a: 3, d: 1, y: 5}?
Therefore: 1/44
What if: Two letters picked without replacement from {a: 4, f: 3}. Give prob of picking 2 f.
Therefore: 1/7
What if: What is prob of picking 1 y and 1 j when two letters picked without replacement from yjujuyuujtyjujtjjyj?
Therefore: 32/171
What if: Four letters picked without rep
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english
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probability: swr p level set
----------------------------
Q-: Three letters picked without replacement from {w: 4, k: 2, g: 2, r: 2}. What is prob of picking 1 r, 1 w, and 1 g?
Hence: 2/15
Q-: Three letters picked without replacement from sksssssskkssssksssss. Give prob of picking 3 k.
Hence: 1/285
Q-: What is prob of picking 1 m, 2 q, and 1 v when four letters picked without replacement from {q: 2, h: 2, m: 6, y: 4, v: 1}?
Hence: 2/455
Q-: What is prob of picking 2 d and 1 p when three letters picked without replacement from dpddddpfdfff?
Hence: 3/22
Q-: Three letters picked without replacement from {v: 3, f: 5, d: 4, z: 1, j: 3, q: 1}. What is prob of picking 1 q and 2 d?
Hence: 3/340
Q-: Four letters picked without replacement from uweuuuuvufwweuvur. Give prob of picking 2 w, 1 v, and 1 u.
Hence: 12/595
Q-: Four letters picked without replacement from fqwrrq. What is prob of picking 1 w, 2 q, and 1 f?
Hence: 1/15
Q-: What is prob of picking 1 h, 1 d, and 1 e when three letters picked without replacement from kkhkkkdee?
Hence: 1/42
Q-: What is prob of picking 2 c when two letters picked without replacement from {c: 18, d: 1}?
Hence: 17/19
Q-: Calculate prob of picking 3 j when three letters picked without replacement from {m: 2, j: 6}.
Hence: 5/14
Q-: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from pppprrpprp.
Hence: 7/40
Q-: Three letters picked without replacement from ehpdhd. What is prob of picking 1 d and 2 h?
Hence: 1/10
Q-: What is prob of picking 2 g and 2 j when four letters picked without replacement from jjggj?
Hence: 3/5
Q-: Two letters picked without replacement from {b: 2, g: 7, j: 2}. What is prob of picking 1 g and 1 b?
Hence: 14/55
Q-: Calculate prob of picking 2 t and 1 o when three letters picked without replacement from otooottoooooooottoo.
Hence: 140/969
Q-: Two letters picked without replacement from bttttwtwtbwetwbw. What is prob of picking 1 w and 1 t?
Hence: 7/24
Q-: Two letters picked without repla
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english
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numbers: is factor
------------------
Given: Does 20 divide 3501?
Outcome: False
Given: Is 19 a factor of 4161?
Outcome: True
Given: Is 407745 a multiple of 195?
Outcome: True
Given: Does 283 divide 309885?
Outcome: True
Given: Is 714 a multiple of 17?
Outcome: True
Given: Is 355571699 a multiple of 13?
Outcome: False
Given: Is 1278 a multiple of 25?
Outcome: False
Given: Is 11549 a multiple of 101?
Outcome: False
Given: Is 156 a multiple of 14?
Outcome: False
Given: Does 16 divide 11979510?
Outcome: False
Given: Is 8 a factor of 812363?
Outcome: False
Given: Does 151 divide 1396146?
Outcome: True
Given: Does 464 divide 300745769?
Outcome: False
Given: Does 100 divide 908400?
Outcome: True
Given: Does 3 divide 3831559?
Outcome: False
Given: Does 142 divide 34841262?
Outcome: True
Given: Is 34917 a multiple of 52?
Outcome: False
Given: Is 8 a factor of 15224949?
Outcome: False
Given: Is 25 a factor of 548?
Outcome: False
Given: Does 240 divide 134951949?
Outcome: False
Given: Is 635 a factor of 241515563?
Outcome: False
Given: Is 834 a multiple of 9?
Outcome: False
Given: Is 5 a factor of 2500?
Outcome: True
Given: Is 4749280 a multiple of 20?
Outcome: True
Given: Does 61 divide 89658?
Outcome: False
Given: Is 6 a factor of 2450?
Outcome: False
Given: Is 48186000 a multiple of 50?
Outcome: True
Given: Does 1756 divide 184384864?
Outcome: False
Given: Is 446977687 a multiple of 16?
Outcome: False
Given: Is 8875243 a multiple of 43?
Outcome: True
Given: Is 73202082 a multiple of 3?
Outcome: True
Given: Is 44 a factor of 2226668532?
Outcome: True
Given: Does 20 divide 2095160?
Outcome: True
Given: Is 200109 a multiple of 91?
Outcome: True
Given: Does 17 divide 540?
Outcome: False
Given: Does 47 divide 48034?
Outcome: True
Given: Is 6 a factor of 78?
Outcome: True
Given: Is 27891637 a multiple of 16?
Outcome: False
Given: Is 152745 a multiple of 11?
Outcome: False
Given: Is 1727 a factor of 24699063?
Outcome: False
Given: Is 3744 a multiple of 39?
Outcome: True
Given: Do
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english
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measurement: time
-----------------
Q: What is 144 minutes after 4:51 PM?
Calculation: 7:15 PM
Q: How many minutes are there between 8:16 PM and 6:27 AM?
Calculation: 611
Q: How many minutes are there between 4:49 AM and 8:06 AM?
Calculation: 197
Q: What is 240 minutes after 1:51 AM?
Calculation: 5:51 AM
Q: How many minutes are there between 2:54 AM and 5:46 AM?
Calculation: 172
Q: How many minutes are there between 5:52 PM and 12:48 AM?
Calculation: 416
Q: What is 54 minutes before 8:56 AM?
Calculation: 8:02 AM
Q: How many minutes are there between 2:12 AM and 2:37 AM?
Calculation: 25
Q: What is 466 minutes after 12:40 AM?
Calculation: 8:26 AM
Q: How many minutes are there between 1:10 AM and 8:35 AM?
Calculation: 445
Q: How many minutes are there between 12:02 PM and 7:26 PM?
Calculation: 444
Q: How many minutes are there between 3:26 PM and 4:17 PM?
Calculation: 51
Q: How many minutes are there between 5:47 PM and 6:14 PM?
Calculation: 27
Q: How many minutes are there between 9:16 AM and 9:01 PM?
Calculation: 705
Q: What is 547 minutes before 4:35 AM?
Calculation: 7:28 PM
Q: What is 12 minutes after 2:30 PM?
Calculation: 2:42 PM
Q: What is 52 minutes after 6:32 PM?
Calculation: 7:24 PM
Q: What is 524 minutes before 10:09 PM?
Calculation: 1:25 PM
Q: How many minutes are there between 9:45 PM and 5:57 AM?
Calculation: 492
Q: How many minutes are there between 7:55 AM and 10:35 AM?
Calculation: 160
Q: What is 625 minutes after 12:07 PM?
Calculation: 10:32 PM
Q: What is 209 minutes before 2:33 PM?
Calculation: 11:04 AM
Q: What is 172 minutes before 11:57 AM?
Calculation: 9:05 AM
Q: What is 40 minutes after 6:13 PM?
Calculation: 6:53 PM
Q: What is 25 minutes before 10:50 AM?
Calculation: 10:25 AM
Q: What is 677 minutes after 11:49 PM?
Calculation: 11:06 AM
Q: How many minutes are there between 7:11 PM and 10:54 PM?
Calculation: 223
Q: What is 564 minutes before 2:32 PM?
Calculation: 5:08 AM
Q: How many minutes are there between 6:45 PM and 6:32 AM?
Calculation: 707
Q:
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english
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numbers: gcd
------------
Scenario: What is the highest common factor of 22775 and 200?
Ans: 25
Scenario: Calculate the greatest common factor of 16785 and 45.
Ans: 45
Scenario: Calculate the greatest common factor of 3330 and 18130.
Ans: 370
Scenario: What is the highest common factor of 25 and 20?
Ans: 5
Scenario: What is the greatest common divisor of 685 and 40141?
Ans: 137
Scenario: Calculate the greatest common factor of 22 and 1881.
Ans: 11
Scenario: Calculate the greatest common divisor of 283434 and 1164.
Ans: 582
Scenario: What is the greatest common divisor of 18 and 1314?
Ans: 18
Scenario: Calculate the highest common divisor of 57 and 1653.
Ans: 57
Scenario: What is the highest common divisor of 10 and 13670?
Ans: 10
Scenario: What is the highest common divisor of 1378 and 1166?
Ans: 106
Scenario: Calculate the highest common factor of 50 and 196975.
Ans: 25
Scenario: Calculate the greatest common divisor of 1320 and 2760.
Ans: 120
Scenario: Calculate the greatest common divisor of 12766766 and 422.
Ans: 422
Scenario: What is the highest common divisor of 767 and 78?
Ans: 13
Scenario: Calculate the greatest common factor of 49766 and 501.
Ans: 167
Scenario: Calculate the greatest common divisor of 204 and 3437349.
Ans: 51
Scenario: Calculate the highest common factor of 195944001 and 231.
Ans: 33
Scenario: Calculate the highest common factor of 455 and 140.
Ans: 35
Scenario: Calculate the highest common factor of 1036 and 444.
Ans: 148
Scenario: What is the greatest common factor of 256 and 48?
Ans: 16
Scenario: What is the highest common divisor of 158 and 74?
Ans: 2
Scenario: What is the greatest common divisor of 72 and 695916?
Ans: 36
Scenario: Calculate the greatest common factor of 390 and 78720.
Ans: 30
Scenario: What is the greatest common divisor of 17 and 51391?
Ans: 17
Scenario: Calculate the highest common factor of 3054 and 72.
Ans: 6
Scenario: What is the highest common divisor of 706289745 and 8715?
Ans: 8715
Scenario: What is the greates
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english
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probability: swr p level set
----------------------------
Prompt: Three letters picked without replacement from zllluzlflzsf. Give prob of picking 1 l, 1 f, and 1 u.
Eval: 1/22
Prompt: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {t: 1, d: 1, k: 1, w: 1, g: 1}.
Eval: 1/10
Prompt: What is prob of picking 1 c and 1 n when two letters picked without replacement from {c: 3, n: 2, w: 5}?
Eval: 2/15
Prompt: What is prob of picking 1 h and 1 u when two letters picked without replacement from {h: 1, i: 1, x: 5, u: 1, k: 2}?
Eval: 1/45
Prompt: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from {t: 1, h: 11, a: 3}.
Eval: 11/105
Prompt: Two letters picked without replacement from {z: 5, s: 7, u: 7}. Give prob of picking 2 z.
Eval: 10/171
Prompt: What is prob of picking 2 q when two letters picked without replacement from qqqqqmqqqmqq?
Eval: 15/22
Prompt: Four letters picked without replacement from {m: 3, f: 9, d: 7}. Give prob of picking 4 d.
Eval: 35/3876
Prompt: What is prob of picking 2 m and 1 e when three letters picked without replacement from {l: 3, m: 9, e: 3, c: 2}?
Eval: 27/170
Prompt: Calculate prob of picking 2 f when two letters picked without replacement from rrrrffrrfrrrff.
Eval: 10/91
Prompt: Three letters picked without replacement from mwqwqjwvw. Give prob of picking 1 m and 2 q.
Eval: 1/84
Prompt: Four letters picked without replacement from loooolo. Give prob of picking 2 o and 2 l.
Eval: 2/7
Prompt: Calculate prob of picking 1 l, 2 s, and 1 p when four letters picked without replacement from {f: 8, l: 2, z: 1, p: 1, s: 4}.
Eval: 3/455
Prompt: Four letters picked without replacement from {h: 6, t: 6}. What is prob of picking 2 h and 2 t?
Eval: 5/11
Prompt: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {r: 2, m: 4, l: 3, s: 1}.
Eval: 2/45
Prompt: What is prob of picking 2 f when two letters picked without replacement from {f: 4}?
Eval: 1
Pr
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english
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probability: swr p sequence
---------------------------
Qn: What is prob of sequence mfd when three letters picked without replacement from mfdmfdfmm?
Compute: 1/21
Qn: Three letters picked without replacement from {g: 1, h: 1, f: 1, t: 1, n: 1, p: 2}. What is prob of sequence ftn?
Compute: 1/210
Qn: Calculate prob of sequence uaa when three letters picked without replacement from {u: 8, a: 5}.
Compute: 40/429
Qn: Four letters picked without replacement from {u: 8, f: 6, y: 1}. Give prob of sequence fuuf.
Compute: 2/39
Qn: Two letters picked without replacement from mmtbtmtmmttmb. What is prob of sequence tt?
Compute: 5/39
Qn: Calculate prob of sequence ppps when four letters picked without replacement from {p: 19, s: 1}.
Compute: 1/20
Qn: What is prob of sequence ihi when three letters picked without replacement from {c: 3, s: 1, h: 4, i: 5, l: 1}?
Compute: 10/273
Qn: Three letters picked without replacement from zlumumbbum. Give prob of sequence ubm.
Compute: 1/40
Qn: What is prob of sequence ymjw when four letters picked without replacement from mkmmjkkmykkykwyk?
Compute: 1/3640
Qn: Three letters picked without replacement from {m: 1, b: 1, v: 1, n: 1, r: 1}. Give prob of sequence vvv.
Compute: 0
Qn: What is prob of sequence zp when two letters picked without replacement from zpzzzpzpzuup?
Compute: 2/11
Qn: What is prob of sequence fb when two letters picked without replacement from {c: 1, o: 1, p: 1, f: 1, b: 2, s: 1}?
Compute: 1/21
Qn: Calculate prob of sequence qqqo when four letters picked without replacement from oqoqooooqooo.
Compute: 1/220
Qn: What is prob of sequence mym when three letters picked without replacement from {w: 1, y: 1, m: 2}?
Compute: 1/12
Qn: Calculate prob of sequence jjj when three letters picked without replacement from {j: 6, u: 6}.
Compute: 1/11
Qn: Two letters picked without replacement from {z: 2, r: 1}. What is prob of sequence rz?
Compute: 1/3
Qn: Two letters picked without replacement from {y: 1, f: 3, i: 5, r: 6, w: 2}. Give pro
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english
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probability: swr p level set
----------------------------
Question: Two letters picked without replacement from wwwwwdwrwrrwwwjrj. What is prob of picking 1 d and 1 w?
Eval: 5/68
Question: Two letters picked without replacement from {b: 2, u: 2, l: 1}. Give prob of picking 2 b.
Eval: 1/10
Question: Calculate prob of picking 1 t, 2 x, and 1 h when four letters picked without replacement from {t: 1, h: 6, k: 5, x: 6}.
Eval: 1/34
Question: What is prob of picking 2 i and 1 h when three letters picked without replacement from {i: 7, x: 2, m: 2, j: 4, h: 5}?
Eval: 7/76
Question: Three letters picked without replacement from woinn. What is prob of picking 2 n and 1 w?
Eval: 1/10
Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from nnurunnrttnru.
Eval: 1/13
Question: What is prob of picking 1 d and 3 c when four letters picked without replacement from {d: 4, b: 3, r: 8, c: 4}?
Eval: 4/969
Question: Calculate prob of picking 4 k when four letters picked without replacement from kjkkkjk.
Eval: 1/7
Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {v: 1, l: 2, j: 3, d: 1, e: 3}.
Eval: 1/20
Question: Four letters picked without replacement from {l: 3, t: 4, b: 5, g: 4}. What is prob of picking 1 g and 3 l?
Eval: 1/455
Question: What is prob of picking 3 l when three letters picked without replacement from yllllylllll?
Eval: 28/55
Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from {u: 6, l: 7}?
Eval: 7/13
Question: Four letters picked without replacement from qqqqqqqqqq. Give prob of picking 4 q.
Eval: 1
Question: What is prob of picking 2 b and 1 m when three letters picked without replacement from {e: 5, b: 5, m: 1}?
Eval: 2/33
Question: Three letters picked without replacement from wabawt. What is prob of picking 1 a and 2 w?
Eval: 1/10
Question: Calculate prob of picking 1 m, 2 x, and 1 e when four letters picked without replacement from e
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english
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numbers: place value
--------------------
Ask: What is the units digit of 7414?
A: 4
Ask: What is the hundred millions digit of 240251442?
A: 2
Ask: What is the thousands digit of 128104?
A: 8
Ask: What is the ten thousands digit of 1291537300?
A: 3
Ask: What is the tens digit of 38697?
A: 9
Ask: What is the thousands digit of 681218?
A: 1
Ask: What is the tens digit of 2559?
A: 5
Ask: What is the ten thousands digit of 247300?
A: 4
Ask: What is the tens digit of 24133?
A: 3
Ask: What is the hundreds digit of 45386683?
A: 6
Ask: What is the hundred millions digit of 284413214?
A: 2
Ask: What is the ten thousands digit of 587889?
A: 8
Ask: What is the tens digit of 565?
A: 6
Ask: What is the hundreds digit of 806047?
A: 0
Ask: What is the thousands digit of 20907963?
A: 7
Ask: What is the hundred millions digit of 1010751835?
A: 0
Ask: What is the tens digit of 744339?
A: 3
Ask: What is the thousands digit of 2604762624?
A: 2
Ask: What is the hundred millions digit of 1614764715?
A: 6
Ask: What is the tens digit of 8655?
A: 5
Ask: What is the tens digit of 123418?
A: 1
Ask: What is the thousands digit of 311293?
A: 1
Ask: What is the thousands digit of 7238?
A: 7
Ask: What is the thousands digit of 139545952?
A: 5
Ask: What is the tens digit of 203790208?
A: 0
Ask: What is the units digit of 1292?
A: 2
Ask: What is the hundred thousands digit of 17870433?
A: 8
Ask: What is the thousands digit of 19738315?
A: 8
Ask: What is the millions digit of 599357019?
A: 9
Ask: What is the thousands digit of 272254888?
A: 4
Ask: What is the hundred millions digit of 286524826?
A: 2
Ask: What is the tens digit of 3949?
A: 4
Ask: What is the units digit of 74391699?
A: 9
Ask: What is the thousands digit of 140542?
A: 0
Ask: What is the tens digit of 3504?
A: 0
Ask: What is the hundreds digit of 442360?
A: 3
Ask: What is the hundreds digit of 603?
A: 6
Ask: What is the tens digit of 5414913935?
A: 3
Ask: What is the hundred thousands digit of 7056545?
A: 0
Ask: What is the tens digi
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english
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measurement: time
-----------------
Q=: What is 328 minutes after 7:27 AM?
Interpretation: 12:55 PM
Q=: What is 467 minutes after 7:28 AM?
Interpretation: 3:15 PM
Q=: How many minutes are there between 2:14 AM and 10:26 AM?
Interpretation: 492
Q=: What is 715 minutes after 7:28 AM?
Interpretation: 7:23 PM
Q=: What is 223 minutes after 3:29 AM?
Interpretation: 7:12 AM
Q=: What is 660 minutes after 8:07 PM?
Interpretation: 7:07 AM
Q=: How many minutes are there between 2:20 AM and 10:21 AM?
Interpretation: 481
Q=: How many minutes are there between 10:13 AM and 9:34 PM?
Interpretation: 681
Q=: How many minutes are there between 12:32 PM and 6:04 PM?
Interpretation: 332
Q=: What is 12 minutes before 11:04 PM?
Interpretation: 10:52 PM
Q=: What is 167 minutes before 7:18 AM?
Interpretation: 4:31 AM
Q=: How many minutes are there between 2:57 PM and 5:58 PM?
Interpretation: 181
Q=: How many minutes are there between 9:29 PM and 7:47 AM?
Interpretation: 618
Q=: What is 110 minutes before 9:12 PM?
Interpretation: 7:22 PM
Q=: What is 240 minutes after 2:16 AM?
Interpretation: 6:16 AM
Q=: What is 197 minutes after 1:58 PM?
Interpretation: 5:15 PM
Q=: How many minutes are there between 5:57 PM and 7:00 PM?
Interpretation: 63
Q=: What is 445 minutes after 12:46 PM?
Interpretation: 8:11 PM
Q=: What is 264 minutes before 6:48 PM?
Interpretation: 2:24 PM
Q=: What is 115 minutes after 6:16 AM?
Interpretation: 8:11 AM
Q=: How many minutes are there between 5:15 AM and 4:24 PM?
Interpretation: 669
Q=: How many minutes are there between 9:06 AM and 6:19 PM?
Interpretation: 553
Q=: How many minutes are there between 1:32 AM and 10:56 AM?
Interpretation: 564
Q=: How many minutes are there between 11:57 PM and 8:45 AM?
Interpretation: 528
Q=: How many minutes are there between 4:29 AM and 6:32 AM?
Interpretation: 123
Q=: How many minutes are there between 6:13 PM and 3:49 AM?
Interpretation: 576
Q=: How many minutes are there between 9:14 PM and 9:23 PM?
Interpretation: 9
Q=: How many mi
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english
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probability: swr p level set
----------------------------
Inquiry: Two letters picked without replacement from {p: 4, t: 3, i: 4, n: 3}. Give prob of picking 2 n.
Finding: 3/91
Inquiry: What is prob of picking 4 t when four letters picked without replacement from {w: 1, b: 2, k: 1, t: 11}?
Finding: 22/91
Inquiry: Four letters picked without replacement from boooiioiobobb. Give prob of picking 2 o and 2 b.
Finding: 18/143
Inquiry: Four letters picked without replacement from {j: 5, r: 5}. Give prob of picking 3 j and 1 r.
Finding: 5/21
Inquiry: Four letters picked without replacement from wwwww. What is prob of picking 4 w?
Finding: 1
Inquiry: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from zzyzryyzzzzyzz.
Finding: 9/91
Inquiry: Calculate prob of picking 2 k and 1 d when three letters picked without replacement from akamkkkhhakhkaddkaha.
Finding: 7/190
Inquiry: Four letters picked without replacement from {j: 1, w: 4, y: 2}. What is prob of picking 1 j and 3 w?
Finding: 4/35
Inquiry: Four letters picked without replacement from {e: 1, l: 3, p: 7, n: 1}. Give prob of picking 4 p.
Finding: 7/99
Inquiry: Four letters picked without replacement from {t: 1, j: 1, m: 4, p: 1, w: 4}. What is prob of picking 1 t and 3 m?
Finding: 2/165
Inquiry: Two letters picked without replacement from {w: 2, l: 1}. Give prob of picking 1 l and 1 w.
Finding: 2/3
Inquiry: Two letters picked without replacement from ibbyhhbbb. Give prob of picking 1 b and 1 y.
Finding: 5/36
Inquiry: Two letters picked without replacement from dsdeessvsseddzdvss. What is prob of picking 1 v and 1 d?
Finding: 10/153
Inquiry: Two letters picked without replacement from {e: 1, c: 5, z: 3}. Give prob of picking 2 z.
Finding: 1/12
Inquiry: Four letters picked without replacement from {k: 1, h: 2, i: 3, u: 3, z: 1, y: 3}. What is prob of picking 1 u, 2 y, and 1 i?
Finding: 27/715
Inquiry: Three letters picked without replacement from eegekekegkkkgkkkeke. What is prob of pickin
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english
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numbers: gcd
------------
Scenario: Calculate the greatest common factor of 60 and 64290.
Ans: 30
Scenario: Calculate the greatest common divisor of 1768 and 208.
Ans: 104
Scenario: Calculate the greatest common factor of 1036 and 70.
Ans: 14
Scenario: What is the greatest common divisor of 1525 and 125?
Ans: 25
Scenario: What is the greatest common divisor of 298533094 and 2713?
Ans: 2713
Scenario: What is the highest common factor of 3791 and 119?
Ans: 17
Scenario: Calculate the greatest common factor of 31993 and 23.
Ans: 23
Scenario: Calculate the highest common factor of 39 and 36.
Ans: 3
Scenario: What is the highest common factor of 25090791 and 2937?
Ans: 2937
Scenario: Calculate the greatest common factor of 160 and 1120.
Ans: 160
Scenario: What is the highest common divisor of 928 and 58?
Ans: 58
Scenario: What is the highest common divisor of 119076 and 516?
Ans: 12
Scenario: Calculate the greatest common divisor of 25 and 748975.
Ans: 25
Scenario: What is the greatest common divisor of 7205 and 5095?
Ans: 5
Scenario: Calculate the greatest common divisor of 120074 and 8.
Ans: 2
Scenario: Calculate the highest common divisor of 67108472 and 3936.
Ans: 328
Scenario: What is the greatest common factor of 5193 and 9?
Ans: 9
Scenario: What is the greatest common divisor of 1785 and 2453745?
Ans: 105
Scenario: Calculate the greatest common factor of 6324 and 5313214.
Ans: 1054
Scenario: Calculate the greatest common factor of 204 and 67269.
Ans: 51
Scenario: Calculate the greatest common divisor of 5 and 1.
Ans: 1
Scenario: What is the greatest common factor of 59472 and 49402647?
Ans: 3717
Scenario: What is the highest common factor of 390 and 2510?
Ans: 10
Scenario: What is the greatest common factor of 97086262 and 273?
Ans: 91
Scenario: What is the greatest common factor of 1248 and 17295096?
Ans: 312
Scenario: Calculate the highest common divisor of 7308 and 174.
Ans: 174
Scenario: What is the highest common divisor of 3150158 and 1301366?
Ans: 3278
Scena
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english
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measurement: time
-----------------
Task: How many minutes are there between 6:47 AM and 2:12 PM?
Answer: 445
Task: How many minutes are there between 4:30 PM and 3:17 AM?
Answer: 647
Task: What is 610 minutes before 9:52 AM?
Answer: 11:42 PM
Task: What is 236 minutes before 5:20 AM?
Answer: 1:24 AM
Task: What is 145 minutes before 2:54 PM?
Answer: 12:29 PM
Task: How many minutes are there between 9:51 PM and 5:01 AM?
Answer: 430
Task: What is 172 minutes after 4:29 PM?
Answer: 7:21 PM
Task: How many minutes are there between 11:41 PM and 11:45 PM?
Answer: 4
Task: What is 532 minutes before 12:37 PM?
Answer: 3:45 AM
Task: What is 102 minutes before 7:14 PM?
Answer: 5:32 PM
Task: What is 669 minutes before 12:46 AM?
Answer: 1:37 PM
Task: How many minutes are there between 1:39 AM and 4:43 AM?
Answer: 184
Task: What is 539 minutes after 5:29 PM?
Answer: 2:28 AM
Task: What is 321 minutes before 7:41 PM?
Answer: 2:20 PM
Task: How many minutes are there between 1:04 PM and 2:59 PM?
Answer: 115
Task: What is 293 minutes before 7:13 AM?
Answer: 2:20 AM
Task: What is 586 minutes before 5:46 PM?
Answer: 8:00 AM
Task: How many minutes are there between 4:33 AM and 4:37 AM?
Answer: 4
Task: How many minutes are there between 5:52 AM and 4:10 PM?
Answer: 618
Task: What is 345 minutes before 9:02 PM?
Answer: 3:17 PM
Task: How many minutes are there between 8:36 PM and 12:42 AM?
Answer: 246
Task: How many minutes are there between 11:34 PM and 2:21 AM?
Answer: 167
Task: What is 250 minutes before 10:56 AM?
Answer: 6:46 AM
Task: How many minutes are there between 2:25 PM and 4:54 PM?
Answer: 149
Task: What is 693 minutes after 5:32 AM?
Answer: 5:05 PM
Task: What is 468 minutes after 2:26 AM?
Answer: 10:14 AM
Task: How many minutes are there between 7:17 PM and 3:45 AM?
Answer: 508
Task: How many minutes are there between 12:34 PM and 12:29 AM?
Answer: 715
Task: What is 376 minutes before 12:43 AM?
Answer: 6:27 PM
Task: How many minutes are there between 4:07 PM and 10:49 PM?
Answer
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english
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numbers: place value
--------------------
Let: What is the hundreds digit of 184440?
Solution: 4
Let: What is the tens digit of 83844?
Solution: 4
Let: What is the units digit of 262444?
Solution: 4
Let: What is the units digit of 136989?
Solution: 9
Let: What is the tens digit of 319815?
Solution: 1
Let: What is the thousands digit of 28152?
Solution: 8
Let: What is the units digit of 1055634466?
Solution: 6
Let: What is the tens digit of 6716?
Solution: 1
Let: What is the tens digit of 1763096475?
Solution: 7
Let: What is the tens digit of 65058878?
Solution: 7
Let: What is the ten thousands digit of 10280?
Solution: 1
Let: What is the ten millions digit of 12664178?
Solution: 1
Let: What is the units digit of 51016222?
Solution: 2
Let: What is the thousands digit of 4625?
Solution: 4
Let: What is the thousands digit of 27508?
Solution: 7
Let: What is the units digit of 9704?
Solution: 4
Let: What is the hundred thousands digit of 444725848?
Solution: 7
Let: What is the tens digit of 74?
Solution: 7
Let: What is the hundred thousands digit of 930628345?
Solution: 6
Let: What is the millions digit of 21728523?
Solution: 1
Let: What is the hundreds digit of 9691?
Solution: 6
Let: What is the hundred thousands digit of 921450995?
Solution: 4
Let: What is the hundred millions digit of 4247339796?
Solution: 2
Let: What is the hundreds digit of 26157?
Solution: 1
Let: What is the ten thousands digit of 175335?
Solution: 7
Let: What is the thousands digit of 1176?
Solution: 1
Let: What is the thousands digit of 2352?
Solution: 2
Let: What is the tens digit of 1440?
Solution: 4
Let: What is the tens digit of 85418?
Solution: 1
Let: What is the thousands digit of 56417?
Solution: 6
Let: What is the hundreds digit of 77066089?
Solution: 0
Let: What is the tens digit of 222649?
Solution: 4
Let: What is the hundreds digit of 410239?
Solution: 2
Let: What is the ten millions digit of 530090324?
Solution: 3
Let: What is the hundreds digit of 3015360?
Solution: 3
Let: What is th
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english
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arithmetic: nearest integer root
--------------------------------
Challenge: What is the seventh root of 816550 to the nearest integer?
Fix: 7
Challenge: What is 325345 to the power of 1/10, to the nearest integer?
Fix: 4
Challenge: What is the tenth root of 7254 to the nearest integer?
Fix: 2
Challenge: What is the square root of 1055338 to the nearest integer?
Fix: 1027
Challenge: What is 160 to the power of 1/2, to the nearest integer?
Fix: 13
Challenge: What is 694 to the power of 1/7, to the nearest integer?
Fix: 3
Challenge: What is 78144 to the power of 1/7, to the nearest integer?
Fix: 5
Challenge: What is the square root of 10679 to the nearest integer?
Fix: 103
Challenge: What is 1588878 to the power of 1/2, to the nearest integer?
Fix: 1261
Challenge: What is 7744396 to the power of 1/2, to the nearest integer?
Fix: 2783
Challenge: What is the cube root of 1373014 to the nearest integer?
Fix: 111
Challenge: What is the square root of 5490049 to the nearest integer?
Fix: 2343
Challenge: What is the eighth root of 2701884866 to the nearest integer?
Fix: 15
Challenge: What is the cube root of 1277931155 to the nearest integer?
Fix: 1085
Challenge: What is 329227 to the power of 1/2, to the nearest integer?
Fix: 574
Challenge: What is 8185370 to the power of 1/3, to the nearest integer?
Fix: 202
Challenge: What is the third root of 9228 to the nearest integer?
Fix: 21
Challenge: What is 978 to the power of 1/3, to the nearest integer?
Fix: 10
Challenge: What is the eighth root of 232737 to the nearest integer?
Fix: 5
Challenge: What is 175228 to the power of 1/3, to the nearest integer?
Fix: 56
Challenge: What is the square root of 1607 to the nearest integer?
Fix: 40
Challenge: What is the square root of 168838154 to the nearest integer?
Fix: 12994
Challenge: What is the square root of 13260 to the nearest integer?
Fix: 115
Challenge: What is the cube root of 1553 to the nearest integer?
Fix: 12
Challenge: What is 2470033110 to the power of 1/2, to the neare
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english
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arithmetic: nearest integer root
--------------------------------
Problem: What is the eighth root of 112144254 to the nearest integer?
Solution: 10
Problem: What is 194 to the power of 1/2, to the nearest integer?
Solution: 14
Problem: What is 835652332 to the power of 1/2, to the nearest integer?
Solution: 28908
Problem: What is the square root of 5787192569 to the nearest integer?
Solution: 76074
Problem: What is the square root of 712870075 to the nearest integer?
Solution: 26700
Problem: What is 1165 to the power of 1/8, to the nearest integer?
Solution: 2
Problem: What is the square root of 1587 to the nearest integer?
Solution: 40
Problem: What is the third root of 2727 to the nearest integer?
Solution: 14
Problem: What is the square root of 1840230 to the nearest integer?
Solution: 1357
Problem: What is the sixth root of 8599 to the nearest integer?
Solution: 5
Problem: What is the square root of 55987 to the nearest integer?
Solution: 237
Problem: What is the fifth root of 1177537 to the nearest integer?
Solution: 16
Problem: What is the eighth root of 8352167 to the nearest integer?
Solution: 7
Problem: What is the cube root of 115197102 to the nearest integer?
Solution: 487
Problem: What is the square root of 1592045 to the nearest integer?
Solution: 1262
Problem: What is the third root of 9787253 to the nearest integer?
Solution: 214
Problem: What is the third root of 234324995 to the nearest integer?
Solution: 617
Problem: What is the fifth root of 10204 to the nearest integer?
Solution: 6
Problem: What is the tenth root of 3860376 to the nearest integer?
Solution: 5
Problem: What is the eighth root of 45132182 to the nearest integer?
Solution: 9
Problem: What is the cube root of 61582 to the nearest integer?
Solution: 39
Problem: What is the fourth root of 17502 to the nearest integer?
Solution: 12
Problem: What is the eighth root of 739362 to the nearest integer?
Solution: 5
Problem: What is 11136 to the power of 1/3, to the nearest integer?
Solution:
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english
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numbers: is factor
------------------
Problem: Is 2380602 a multiple of 3?
Math A: True
Problem: Does 32 divide 1728?
Math A: True
Problem: Does 19 divide 127831?
Math A: False
Problem: Does 11 divide 4246?
Math A: True
Problem: Is 79 a multiple of 8?
Math A: False
Problem: Is 390 a factor of 824489?
Math A: False
Problem: Is 59033 a multiple of 258?
Math A: False
Problem: Is 1433759 a multiple of 3?
Math A: False
Problem: Is 4 a factor of 4468?
Math A: True
Problem: Does 4 divide 44?
Math A: True
Problem: Is 585950860 a multiple of 25?
Math A: False
Problem: Does 10 divide 400?
Math A: True
Problem: Is 121 a factor of 868175?
Math A: True
Problem: Is 14880822 a multiple of 103?
Math A: True
Problem: Is 190 a multiple of 24?
Math A: False
Problem: Is 91485 a multiple of 9?
Math A: True
Problem: Is 170641 a multiple of 215?
Math A: False
Problem: Is 339300 a multiple of 29?
Math A: True
Problem: Does 402 divide 33722976?
Math A: True
Problem: Does 32 divide 1071456?
Math A: True
Problem: Is 67813 a multiple of 50?
Math A: False
Problem: Is 7 a factor of 278437372?
Math A: False
Problem: Is 8 a factor of 457?
Math A: False
Problem: Is 6954685 a multiple of 23?
Math A: False
Problem: Is 1102190880 a multiple of 96?
Math A: True
Problem: Does 23 divide 46?
Math A: True
Problem: Is 2785666075 a multiple of 231?
Math A: False
Problem: Is 573 a multiple of 10?
Math A: False
Problem: Is 2248156 a multiple of 322?
Math A: False
Problem: Is 9 a factor of 20835?
Math A: True
Problem: Is 22 a factor of 19294?
Math A: True
Problem: Does 23 divide 1595?
Math A: False
Problem: Is 1834 a factor of 295010585?
Math A: False
Problem: Is 15073 a multiple of 37?
Math A: False
Problem: Does 12 divide 186?
Math A: False
Problem: Does 264 divide 1027137?
Math A: False
Problem: Is 565 a multiple of 27?
Math A: False
Problem: Is 58 a factor of 86423?
Math A: False
Problem: Is 2263201586 a multiple of 161?
Math A: False
Problem: Does 93 divide 18507?
Math A: True
Problem: Is 366 a factor of 1
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english
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numbers: is prime
-----------------
Example: Is 181580549 composite?
Sol: True
Example: Is 40632209 composite?
Sol: False
Example: Is 1273 prime?
Sol: False
Example: Is 1516883 a prime number?
Sol: True
Example: Is 784153 a prime number?
Sol: True
Example: Is 977929 prime?
Sol: False
Example: Is 226297 composite?
Sol: True
Example: Is 1361 composite?
Sol: False
Example: Is 31790044807 a prime number?
Sol: False
Example: Is 65663 prime?
Sol: False
Example: Is 1199 prime?
Sol: False
Example: Is 470251777 composite?
Sol: False
Example: Is 31831001 a composite number?
Sol: True
Example: Is 25010032937 composite?
Sol: True
Example: Is 18539537798 prime?
Sol: False
Example: Is 798607 a prime number?
Sol: False
Example: Is 26369 composite?
Sol: True
Example: Is 8276273 prime?
Sol: True
Example: Is 1127494343 a prime number?
Sol: True
Example: Is 2400707693 composite?
Sol: True
Example: Is 181950229 prime?
Sol: False
Example: Is 1924638913 a composite number?
Sol: False
Example: Is 19059 prime?
Sol: False
Example: Is 80248061 a prime number?
Sol: True
Example: Is 5002091 a composite number?
Sol: True
Example: Is 504767 prime?
Sol: True
Example: Is 280676297177 a prime number?
Sol: False
Example: Is 109143577 composite?
Sol: False
Example: Is 17833 a composite number?
Sol: True
Example: Is 90072725813 composite?
Sol: True
Example: Is 182711 composite?
Sol: False
Example: Is 2345955693 a composite number?
Sol: True
Example: Is 1817771 composite?
Sol: False
Example: Is 1313441 a composite number?
Sol: True
Example: Is 252761 composite?
Sol: False
Example: Is 647411893 a composite number?
Sol: False
Example: Is 606706787 composite?
Sol: False
Example: Is 1425307 prime?
Sol: False
Example: Is 2718773 prime?
Sol: True
Example: Is 286862423 a composite number?
Sol: False
Example: Is 898819 composite?
Sol: False
Example: Is 832644677 a composite number?
Sol: True
Example: Is 2094054337 a composite number?
Sol: False
Example: Is 64299348097 a composite number?
Sol: False
Example: Is
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english
|
numbers: place value
--------------------
Task: What is the hundreds digit of 3321413?
A: 4
Task: What is the thousands digit of 2030436?
A: 0
Task: What is the ten thousands digit of 32782292?
A: 8
Task: What is the hundreds digit of 273?
A: 2
Task: What is the thousands digit of 577751028?
A: 1
Task: What is the tens digit of 19459403?
A: 0
Task: What is the tens digit of 134618278?
A: 7
Task: What is the units digit of 10715903?
A: 3
Task: What is the hundreds digit of 445445207?
A: 2
Task: What is the hundred thousands digit of 15752111?
A: 7
Task: What is the hundreds digit of 22853?
A: 8
Task: What is the ten thousands digit of 189362?
A: 8
Task: What is the tens digit of 8904961?
A: 6
Task: What is the thousands digit of 1020540?
A: 0
Task: What is the units digit of 6317245?
A: 5
Task: What is the hundred millions digit of 1315404364?
A: 3
Task: What is the ten thousands digit of 1404121?
A: 0
Task: What is the units digit of 836?
A: 6
Task: What is the thousands digit of 1698258?
A: 8
Task: What is the hundreds digit of 2388?
A: 3
Task: What is the ten thousands digit of 227559025?
A: 5
Task: What is the thousands digit of 147249439?
A: 9
Task: What is the tens digit of 1035?
A: 3
Task: What is the hundred thousands digit of 16486753?
A: 4
Task: What is the hundred thousands digit of 34248020?
A: 2
Task: What is the units digit of 22582?
A: 2
Task: What is the ten thousands digit of 4716527?
A: 1
Task: What is the hundreds digit of 89187546?
A: 5
Task: What is the thousands digit of 415767823?
A: 7
Task: What is the thousands digit of 172140?
A: 2
Task: What is the hundred thousands digit of 524141535?
A: 1
Task: What is the tens digit of 32030?
A: 3
Task: What is the tens digit of 208475?
A: 7
Task: What is the hundreds digit of 82978?
A: 9
Task: What is the hundreds digit of 1414639?
A: 6
Task: What is the hundreds digit of 7963018?
A: 0
Task: What is the hundreds digit of 62342100?
A: 1
Task: What is the thousands digit of 3746?
A: 3
Task: What is the un
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english
|
probability: swr p sequence
---------------------------
Part A: Two letters picked without replacement from {v: 6}. Give prob of sequence vv.
Outcome: 1
Part A: Four letters picked without replacement from {x: 2, e: 4, o: 1, a: 1}. Give prob of sequence oeex.
Outcome: 1/70
Part A: Two letters picked without replacement from uvryyyyuyuuuveu. What is prob of sequence ue?
Outcome: 1/35
Part A: Four letters picked without replacement from {y: 2, n: 3, a: 7}. What is prob of sequence yyan?
Outcome: 7/1980
Part A: Three letters picked without replacement from iaaccicaacaic. What is prob of sequence aia?
Outcome: 5/143
Part A: Two letters picked without replacement from rhihoorz. Give prob of sequence ir.
Outcome: 1/28
Part A: Calculate prob of sequence iij when three letters picked without replacement from rzijiijii.
Outcome: 5/63
Part A: Four letters picked without replacement from {f: 5, l: 4, e: 2}. What is prob of sequence leel?
Outcome: 1/330
Part A: Two letters picked without replacement from lfenfsh. What is prob of sequence le?
Outcome: 1/42
Part A: Four letters picked without replacement from {a: 6, k: 2, w: 1, f: 1, y: 2}. Give prob of sequence yafw.
Outcome: 1/990
Part A: Four letters picked without replacement from qqxqzzqxz. What is prob of sequence qxxz?
Outcome: 1/126
Part A: Two letters picked without replacement from ccncnctcnddccnccccc. What is prob of sequence nc?
Outcome: 8/57
Part A: What is prob of sequence ohv when three letters picked without replacement from oevfhhfvbvvo?
Outcome: 2/165
Part A: Two letters picked without replacement from {d: 9, a: 9}. What is prob of sequence aa?
Outcome: 4/17
Part A: Two letters picked without replacement from {j: 5, o: 2, v: 2}. What is prob of sequence jv?
Outcome: 5/36
Part A: Four letters picked without replacement from bbbbbbkkbbbk. Give prob of sequence kbbb.
Outcome: 7/55
Part A: What is prob of sequence tyyb when four letters picked without replacement from {y: 3, b: 4, c: 2, t: 1}?
Outcome: 1/210
Part A:
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numbers: is prime
-----------------
Given: Is 6658233 prime?
Result: False
Given: Is 2572543999 a prime number?
Result: True
Given: Is 18807803907 composite?
Result: True
Given: Is 17253769933 composite?
Result: False
Given: Is 4972266031 prime?
Result: True
Given: Is 2293952041 a prime number?
Result: False
Given: Is 68623253 composite?
Result: True
Given: Is 12569 prime?
Result: True
Given: Is 2267 a prime number?
Result: True
Given: Is 12062965 composite?
Result: True
Given: Is 554417 a prime number?
Result: True
Given: Is 481 a composite number?
Result: True
Given: Is 49046047 a composite number?
Result: True
Given: Is 9339099323 composite?
Result: False
Given: Is 87466979 prime?
Result: True
Given: Is 811818533 a prime number?
Result: True
Given: Is 1942346431 composite?
Result: False
Given: Is 2692709 composite?
Result: False
Given: Is 11661719 a prime number?
Result: False
Given: Is 63013777 prime?
Result: True
Given: Is 89227301 a prime number?
Result: True
Given: Is 4582827115 a composite number?
Result: True
Given: Is 68362169 a prime number?
Result: True
Given: Is 72023 composite?
Result: True
Given: Is 788297 a prime number?
Result: False
Given: Is 6130373 a prime number?
Result: True
Given: Is 709461379 prime?
Result: False
Given: Is 55058566117 a prime number?
Result: False
Given: Is 37244003 composite?
Result: True
Given: Is 5587984967 composite?
Result: False
Given: Is 224573 composite?
Result: True
Given: Is 129187 a prime number?
Result: True
Given: Is 1901 a composite number?
Result: False
Given: Is 7833228937 prime?
Result: True
Given: Is 52007 a composite number?
Result: True
Given: Is 24065 a prime number?
Result: False
Given: Is 12984839081 a composite number?
Result: False
Given: Is 3426817 a prime number?
Result: False
Given: Is 709519 prime?
Result: True
Given: Is 191122 prime?
Result: False
Given: Is 1251979 a composite number?
Result: True
Given: Is 2129567 composite?
Result: True
Given: Is 128144819 a composite number?
Result: True
Given
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numbers: is factor
------------------
Math Q: Is 168 a factor of 476616?
Conclusion: True
Math Q: Does 48 divide 340608?
Conclusion: True
Math Q: Is 85627094 a multiple of 226?
Conclusion: False
Math Q: Is 30 a factor of 61812330?
Conclusion: True
Math Q: Is 152 a factor of 4734715?
Conclusion: False
Math Q: Is 936 a multiple of 12?
Conclusion: True
Math Q: Is 301992 a multiple of 12?
Conclusion: True
Math Q: Is 515708363 a multiple of 217?
Conclusion: False
Math Q: Is 62912 a multiple of 4?
Conclusion: True
Math Q: Does 253 divide 246209?
Conclusion: False
Math Q: Does 31 divide 11786913?
Conclusion: True
Math Q: Is 2896790 a multiple of 65?
Conclusion: True
Math Q: Is 8 a factor of 43422?
Conclusion: False
Math Q: Is 610721848 a multiple of 8?
Conclusion: True
Math Q: Does 15 divide 577635?
Conclusion: True
Math Q: Does 19 divide 10002829?
Conclusion: False
Math Q: Is 33 a factor of 1357861560?
Conclusion: True
Math Q: Does 27 divide 3755?
Conclusion: False
Math Q: Is 103 a factor of 46535707?
Conclusion: False
Math Q: Does 20 divide 4990700?
Conclusion: True
Math Q: Does 188 divide 720839564?
Conclusion: True
Math Q: Is 6200 a multiple of 31?
Conclusion: True
Math Q: Is 145744 a multiple of 110?
Conclusion: False
Math Q: Is 162 a factor of 528606?
Conclusion: True
Math Q: Is 96 a factor of 1364?
Conclusion: False
Math Q: Is 7022 a multiple of 14?
Conclusion: False
Math Q: Does 90 divide 211410?
Conclusion: True
Math Q: Is 272 a factor of 189720?
Conclusion: False
Math Q: Is 24 a factor of 29811816?
Conclusion: True
Math Q: Is 17130 a multiple of 10?
Conclusion: True
Math Q: Is 8 a factor of 1419355?
Conclusion: False
Math Q: Is 42834588 a multiple of 17?
Conclusion: False
Math Q: Is 163352 a multiple of 7?
Conclusion: True
Math Q: Does 26 divide 22232?
Conclusion: False
Math Q: Does 12 divide 1462708071?
Conclusion: False
Math Q: Is 5 a factor of 2986?
Conclusion: False
Math Q: Is 247 a factor of 586984?
Conclusion: False
Math Q: Is 3 a factor of 428565?
Conclusi
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probability: swr p sequence
---------------------------
Task: Three letters picked without replacement from wewwwwwqwwwwwq. Give prob of sequence weq.
Conclusion: 11/1092
Task: Calculate prob of sequence dgd when three letters picked without replacement from {d: 3, b: 9, c: 1, g: 5}.
Conclusion: 5/816
Task: Calculate prob of sequence lwrl when four letters picked without replacement from wllowlwrrl.
Conclusion: 1/70
Task: Four letters picked without replacement from quuvuuqvqvquq. Give prob of sequence qvqq.
Conclusion: 3/286
Task: Two letters picked without replacement from exomuul. Give prob of sequence um.
Conclusion: 1/21
Task: Three letters picked without replacement from {t: 1, n: 1, h: 11, r: 4, u: 1}. What is prob of sequence huh?
Conclusion: 55/2448
Task: What is prob of sequence wmvv when four letters picked without replacement from miaiiowivivvv?
Conclusion: 1/1430
Task: Four letters picked without replacement from {m: 2, y: 7, t: 5}. Give prob of sequence myty.
Conclusion: 5/286
Task: Three letters picked without replacement from {k: 4}. Give prob of sequence kkk.
Conclusion: 1
Task: Two letters picked without replacement from {f: 1, a: 2, h: 1, i: 1, o: 1, v: 1}. Give prob of sequence of.
Conclusion: 1/42
Task: Calculate prob of sequence lhl when three letters picked without replacement from lhhhhehllhelhehh.
Conclusion: 9/280
Task: Three letters picked without replacement from {d: 1, w: 3, h: 1, c: 1, r: 1, a: 6}. Give prob of sequence cdh.
Conclusion: 1/1716
Task: What is prob of sequence mj when two letters picked without replacement from {m: 1, j: 3, r: 3}?
Conclusion: 1/14
Task: What is prob of sequence oyh when three letters picked without replacement from vvhhhyvvvomvb?
Conclusion: 1/572
Task: What is prob of sequence lr when two letters picked without replacement from {k: 1, l: 5, r: 1, x: 2, o: 3}?
Conclusion: 5/132
Task: Three letters picked without replacement from {a: 2, v: 5, z: 2, l: 3}. Give prob of sequence vll.
Conclusion: 1/44
Task: Tw
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numbers: gcd
------------
Ask: What is the greatest common factor of 52136 and 40166?
Derivation: 266
Ask: Calculate the greatest common divisor of 1152 and 173256576.
Derivation: 384
Ask: What is the greatest common factor of 3 and 226833?
Derivation: 3
Ask: What is the greatest common factor of 3541356 and 156?
Derivation: 156
Ask: What is the greatest common factor of 314792 and 28880?
Derivation: 2888
Ask: What is the highest common factor of 6 and 96?
Derivation: 6
Ask: What is the greatest common divisor of 23 and 646001?
Derivation: 23
Ask: What is the highest common factor of 3731 and 119627053?
Derivation: 3731
Ask: Calculate the highest common divisor of 381 and 4353976941.
Derivation: 381
Ask: Calculate the highest common divisor of 30 and 643320.
Derivation: 30
Ask: What is the highest common divisor of 7360 and 49013?
Derivation: 23
Ask: What is the highest common divisor of 1728 and 2835?
Derivation: 27
Ask: Calculate the greatest common divisor of 1066 and 26.
Derivation: 26
Ask: Calculate the greatest common factor of 3737113 and 91613.
Derivation: 317
Ask: Calculate the greatest common divisor of 3118 and 8335973.
Derivation: 1559
Ask: Calculate the greatest common factor of 21 and 175.
Derivation: 7
Ask: Calculate the greatest common divisor of 5480 and 69800.
Derivation: 40
Ask: Calculate the highest common divisor of 1313 and 10699.
Derivation: 13
Ask: What is the highest common divisor of 275 and 1441?
Derivation: 11
Ask: Calculate the highest common divisor of 38594 and 10442.
Derivation: 46
Ask: What is the greatest common divisor of 248148 and 484950?
Derivation: 366
Ask: Calculate the highest common factor of 1648816 and 624.
Derivation: 208
Ask: Calculate the highest common factor of 1576750 and 340.
Derivation: 170
Ask: Calculate the greatest common divisor of 3667 and 2.
Derivation: 1
Ask: Calculate the highest common factor of 8 and 1944.
Derivation: 8
Ask: Calculate the highest common factor of 19 and 1381927.
Derivation: 19
Ask: What i
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numbers: div remainder
----------------------
Given: What is the remainder when 35657 is divided by 687?
Resolution: 620
Given: What is the remainder when 19479286 is divided by 342?
Resolution: 334
Given: What is the remainder when 260607 is divided by 26025?
Resolution: 357
Given: Calculate the remainder when 190156 is divided by 5.
Resolution: 1
Given: What is the remainder when 34909 is divided by 267?
Resolution: 199
Given: What is the remainder when 570824 is divided by 10192?
Resolution: 72
Given: What is the remainder when 346820 is divided by 86679?
Resolution: 104
Given: Calculate the remainder when 751347 is divided by 375588.
Resolution: 171
Given: Calculate the remainder when 1205387 is divided by 32.
Resolution: 11
Given: Calculate the remainder when 11694 is divided by 2331.
Resolution: 39
Given: What is the remainder when 8 is divided by 6?
Resolution: 2
Given: What is the remainder when 100161 is divided by 57?
Resolution: 12
Given: What is the remainder when 333692 is divided by 9?
Resolution: 8
Given: What is the remainder when 8580 is divided by 378?
Resolution: 264
Given: What is the remainder when 87207 is divided by 37?
Resolution: 35
Given: Calculate the remainder when 4241378 is divided by 2796.
Resolution: 2642
Given: What is the remainder when 4909 is divided by 4361?
Resolution: 548
Given: What is the remainder when 30837 is divided by 833?
Resolution: 16
Given: Calculate the remainder when 52860 is divided by 17.
Resolution: 7
Given: What is the remainder when 3066 is divided by 206?
Resolution: 182
Given: What is the remainder when 46894549 is divided by 70?
Resolution: 9
Given: Calculate the remainder when 21072 is divided by 20992.
Resolution: 80
Given: Calculate the remainder when 206826 is divided by 496.
Resolution: 490
Given: Calculate the remainder when 232530 is divided by 24.
Resolution: 18
Given: Calculate the remainder when 80817 is divided by 1444.
Resolution: 1397
Given: What is the remainder when 227 is divided by 197?
Res
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numbers: is prime
-----------------
Example: Is 1697009 a prime number?
Hence: False
Example: Is 319715129 a prime number?
Hence: False
Example: Is 9623095 prime?
Hence: False
Example: Is 102146791 a composite number?
Hence: True
Example: Is 1728061 composite?
Hence: False
Example: Is 7993 prime?
Hence: True
Example: Is 97499 composite?
Hence: False
Example: Is 5341595239 a prime number?
Hence: True
Example: Is 25873411 a composite number?
Hence: False
Example: Is 1662187 a prime number?
Hence: False
Example: Is 13285 a composite number?
Hence: True
Example: Is 104453 a prime number?
Hence: False
Example: Is 132749 a composite number?
Hence: False
Example: Is 3548782639 a prime number?
Hence: False
Example: Is 7251 a prime number?
Hence: False
Example: Is 32434 a composite number?
Hence: True
Example: Is 5964293 prime?
Hence: True
Example: Is 267434165579 prime?
Hence: False
Example: Is 23917679 a prime number?
Hence: True
Example: Is 3982962629 composite?
Hence: False
Example: Is 2832941 prime?
Hence: True
Example: Is 13760909 composite?
Hence: True
Example: Is 595996706 prime?
Hence: False
Example: Is 112787 a prime number?
Hence: True
Example: Is 16326581 prime?
Hence: True
Example: Is 3017033 prime?
Hence: True
Example: Is 2392550033 a composite number?
Hence: True
Example: Is 8267 a composite number?
Hence: True
Example: Is 15959 a prime number?
Hence: True
Example: Is 24969949 a composite number?
Hence: True
Example: Is 281593 prime?
Hence: False
Example: Is 601943 a composite number?
Hence: False
Example: Is 108240722047 a prime number?
Hence: True
Example: Is 42509 a composite number?
Hence: False
Example: Is 62244289 composite?
Hence: False
Example: Is 213386 composite?
Hence: True
Example: Is 202966 a prime number?
Hence: False
Example: Is 42487 a composite number?
Hence: False
Example: Is 49733 prime?
Hence: False
Example: Is 8655331 composite?
Hence: False
Example: Is 381896059 prime?
Hence: True
Example: Is 14078623673 prime?
Hence: True
Example: Is 165
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numbers: place value
--------------------
Scenario: What is the tens digit of 32915767?
Eval: 6
Scenario: What is the thousands digit of 568673?
Eval: 8
Scenario: What is the units digit of 515141?
Eval: 1
Scenario: What is the tens digit of 5719816?
Eval: 1
Scenario: What is the units digit of 24075?
Eval: 5
Scenario: What is the ten thousands digit of 12407?
Eval: 1
Scenario: What is the thousands digit of 2334954934?
Eval: 4
Scenario: What is the ten thousands digit of 127052249?
Eval: 5
Scenario: What is the thousands digit of 347963514?
Eval: 3
Scenario: What is the hundreds digit of 1146?
Eval: 1
Scenario: What is the hundred thousands digit of 700494?
Eval: 7
Scenario: What is the hundreds digit of 898?
Eval: 8
Scenario: What is the units digit of 95329?
Eval: 9
Scenario: What is the hundreds digit of 2026166?
Eval: 1
Scenario: What is the ten thousands digit of 269869?
Eval: 6
Scenario: What is the hundreds digit of 30226015?
Eval: 0
Scenario: What is the ten thousands digit of 105457?
Eval: 0
Scenario: What is the ten thousands digit of 1051394?
Eval: 5
Scenario: What is the ten thousands digit of 380884556?
Eval: 8
Scenario: What is the thousands digit of 189283868?
Eval: 3
Scenario: What is the ten thousands digit of 32568169?
Eval: 6
Scenario: What is the units digit of 730?
Eval: 0
Scenario: What is the tens digit of 15582?
Eval: 8
Scenario: What is the hundreds digit of 203222481?
Eval: 4
Scenario: What is the hundreds digit of 494546?
Eval: 5
Scenario: What is the units digit of 89552?
Eval: 2
Scenario: What is the thousands digit of 9182?
Eval: 9
Scenario: What is the units digit of 4934771?
Eval: 1
Scenario: What is the units digit of 5741?
Eval: 1
Scenario: What is the hundred millions digit of 120998626?
Eval: 1
Scenario: What is the tens digit of 3282?
Eval: 8
Scenario: What is the hundred thousands digit of 80212116?
Eval: 2
Scenario: What is the hundred thousands digit of 3919417?
Eval: 9
Scenario: What is the ten millions digit of 42737509?
Ev
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probability: swr p level set
----------------------------
Scenario: Calculate prob of picking 1 a, 1 y, and 1 x when three letters picked without replacement from {f: 3, p: 2, y: 4, x: 5, a: 5}.
Calculation: 100/969
Scenario: Three letters picked without replacement from llldddddwdldddlddld. Give prob of picking 3 l.
Calculation: 20/969
Scenario: Two letters picked without replacement from sbzzzsbz. What is prob of picking 1 b and 1 s?
Calculation: 1/7
Scenario: Two letters picked without replacement from nxujfqnx. Give prob of picking 1 n and 1 x.
Calculation: 1/7
Scenario: Two letters picked without replacement from jjpfppfpp. What is prob of picking 2 f?
Calculation: 1/36
Scenario: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {z: 1, b: 3, r: 8, i: 6}.
Calculation: 16/51
Scenario: Two letters picked without replacement from {x: 8, b: 2, k: 1, z: 4}. Give prob of picking 2 z.
Calculation: 2/35
Scenario: What is prob of picking 1 m and 1 v when two letters picked without replacement from vvmvmvvvvvvvvvvvvvv?
Calculation: 34/171
Scenario: Four letters picked without replacement from rrqrqrqrqrrrrrqqrqr. Give prob of picking 4 r.
Calculation: 165/1292
Scenario: What is prob of picking 1 f and 3 k when four letters picked without replacement from {g: 1, f: 2, n: 2, a: 5, q: 3, k: 7}?
Calculation: 14/969
Scenario: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {m: 1, a: 1, w: 2, s: 1, o: 1, k: 1}.
Calculation: 2/21
Scenario: What is prob of picking 2 f, 1 g, and 1 c when four letters picked without replacement from {b: 1, c: 1, f: 4, g: 7}?
Calculation: 42/715
Scenario: Three letters picked without replacement from {c: 6, d: 2, s: 2, j: 1}. What is prob of picking 1 j and 2 d?
Calculation: 1/165
Scenario: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from rqrnrrirriziirq.
Calculation: 8/105
Scenario: Three letters picked without replacement from {x: 5, b
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probability: swr p level set
----------------------------
Problem: What is prob of picking 2 p and 2 h when four letters picked without replacement from hlgplephhdlg?
Sol: 1/165
Problem: Three letters picked without replacement from sfssgfsssassssgogfg. What is prob of picking 1 g, 1 f, and 1 s?
Sol: 40/323
Problem: Three letters picked without replacement from {y: 4, r: 10}. What is prob of picking 3 y?
Sol: 1/91
Problem: Two letters picked without replacement from {a: 2, t: 7}. Give prob of picking 2 a.
Sol: 1/36
Problem: Three letters picked without replacement from {t: 7, g: 3}. What is prob of picking 3 g?
Sol: 1/120
Problem: Calculate prob of picking 3 j and 1 w when four letters picked without replacement from {x: 3, s: 6, j: 9, w: 1}.
Sol: 7/323
Problem: Three letters picked without replacement from jppjjppppppppp. Give prob of picking 3 p.
Sol: 165/364
Problem: What is prob of picking 1 z and 1 b when two letters picked without replacement from {i: 3, b: 8, u: 2, z: 5, c: 2}?
Sol: 4/19
Problem: Three letters picked without replacement from mqfqm. Give prob of picking 1 m and 2 q.
Sol: 1/5
Problem: What is prob of picking 2 h when two letters picked without replacement from hhhhhhh?
Sol: 1
Problem: Two letters picked without replacement from {s: 2, q: 1, x: 3, t: 1, h: 3}. What is prob of picking 1 t and 1 x?
Sol: 1/15
Problem: What is prob of picking 4 t when four letters picked without replacement from tttmtttlmttmtttt?
Sol: 99/364
Problem: Four letters picked without replacement from llltllssllltlsl. Give prob of picking 2 s and 2 l.
Sol: 9/91
Problem: Three letters picked without replacement from {l: 3, g: 1, k: 1, v: 7}. Give prob of picking 2 l and 1 v.
Sol: 21/220
Problem: Calculate prob of picking 2 k when two letters picked without replacement from {o: 1, z: 1, p: 2, k: 2}.
Sol: 1/15
Problem: Two letters picked without replacement from iouuqse. What is prob of picking 1 s and 1 u?
Sol: 2/21
Problem: Two letters picked without replacement from wewxvv
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numbers: gcd
------------
Input: Calculate the highest common divisor of 78 and 6609600.
Soln: 6
Input: Calculate the highest common divisor of 4165 and 1764.
Soln: 49
Input: What is the highest common factor of 1197913466 and 716?
Soln: 358
Input: Calculate the greatest common divisor of 695 and 5.
Soln: 5
Input: Calculate the highest common factor of 628 and 1413.
Soln: 157
Input: Calculate the highest common factor of 56340 and 3210.
Soln: 30
Input: What is the highest common factor of 3478 and 1406?
Soln: 74
Input: What is the greatest common divisor of 101 and 5959?
Soln: 101
Input: What is the highest common divisor of 56484 and 324?
Soln: 108
Input: Calculate the highest common factor of 203 and 145.
Soln: 29
Input: Calculate the greatest common divisor of 82766 and 116.
Soln: 58
Input: What is the greatest common factor of 84726379 and 217?
Soln: 31
Input: What is the highest common divisor of 2717 and 57200?
Soln: 143
Input: Calculate the greatest common factor of 77 and 7282.
Soln: 11
Input: Calculate the greatest common factor of 1059449 and 334121.
Soln: 1679
Input: What is the highest common factor of 124 and 26?
Soln: 2
Input: Calculate the highest common divisor of 4000 and 1152.
Soln: 32
Input: What is the greatest common factor of 36 and 36?
Soln: 36
Input: What is the greatest common factor of 11 and 187?
Soln: 11
Input: What is the highest common factor of 41 and 82?
Soln: 41
Input: Calculate the greatest common divisor of 72 and 411.
Soln: 3
Input: Calculate the greatest common divisor of 35716657 and 1108.
Soln: 277
Input: What is the highest common divisor of 140424 and 24?
Soln: 24
Input: Calculate the highest common divisor of 24002 and 22.
Soln: 22
Input: Calculate the greatest common factor of 20 and 1586310.
Soln: 10
Input: What is the highest common factor of 58 and 11513?
Soln: 29
Input: What is the highest common divisor of 207 and 41027745?
Soln: 69
Input: What is the highest common factor of 46258 and 22213458?
Soln: 458
Input: Calcul
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english
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probability: swr p sequence
---------------------------
Problem: What is prob of sequence kat when three letters picked without replacement from {k: 1, a: 1, t: 2}?
Finding: 1/12
Problem: Calculate prob of sequence agaa when four letters picked without replacement from ggga.
Finding: 0
Problem: What is prob of sequence twrt when four letters picked without replacement from ttrwwttf?
Finding: 1/70
Problem: Two letters picked without replacement from zxxaf. What is prob of sequence fa?
Finding: 1/20
Problem: Two letters picked without replacement from snsbbnsnnsbnbndsb. Give prob of sequence nn.
Finding: 15/136
Problem: What is prob of sequence ld when two letters picked without replacement from {l: 1, d: 2}?
Finding: 1/3
Problem: Four letters picked without replacement from {i: 6, b: 8, p: 1, o: 3}. What is prob of sequence iipb?
Finding: 1/306
Problem: Two letters picked without replacement from ggmm. Give prob of sequence gm.
Finding: 1/3
Problem: What is prob of sequence vzx when three letters picked without replacement from {v: 6, z: 4, x: 5, r: 1}?
Finding: 1/28
Problem: Three letters picked without replacement from qzqzxzzzezx. What is prob of sequence zqe?
Finding: 2/165
Problem: Two letters picked without replacement from {y: 1, i: 6, s: 1, v: 3, z: 5, w: 1}. What is prob of sequence wy?
Finding: 1/272
Problem: Two letters picked without replacement from {q: 6, b: 1, k: 5, e: 2, l: 1, d: 1}. Give prob of sequence eb.
Finding: 1/120
Problem: Two letters picked without replacement from {r: 1, e: 2}. What is prob of sequence er?
Finding: 1/3
Problem: Three letters picked without replacement from gtmdm. Give prob of sequence tdg.
Finding: 1/60
Problem: Four letters picked without replacement from hjwcwlp. What is prob of sequence pjwl?
Finding: 1/420
Problem: Three letters picked without replacement from {n: 5, b: 1, w: 5}. Give prob of sequence nwb.
Finding: 5/198
Problem: Four letters picked without replacement from {q: 8, f: 3}. Give prob of sequence fffq.
Fin
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english
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probability: swr p sequence
---------------------------
Ask: What is prob of sequence xxxy when four letters picked without replacement from yxxxyxx?
Thus: 1/7
Ask: Two letters picked without replacement from {q: 1, t: 4, i: 6}. Give prob of sequence iq.
Thus: 3/55
Ask: Calculate prob of sequence pp when two letters picked without replacement from pnnnnnpnnkknnkn.
Thus: 1/105
Ask: Two letters picked without replacement from {r: 7, i: 2, y: 1, n: 3, c: 4}. What is prob of sequence nn?
Thus: 3/136
Ask: Calculate prob of sequence pssp when four letters picked without replacement from sssppsss.
Thus: 1/28
Ask: What is prob of sequence tt when two letters picked without replacement from utlt?
Thus: 1/6
Ask: Calculate prob of sequence wd when two letters picked without replacement from addwffrrrdra.
Thus: 1/44
Ask: Two letters picked without replacement from ddidrvdcvrdrdd. Give prob of sequence cr.
Thus: 3/182
Ask: Four letters picked without replacement from qqpqlllnqpppqlpln. What is prob of sequence llnq?
Thus: 5/1428
Ask: Two letters picked without replacement from {y: 6, t: 1, x: 1, h: 11}. Give prob of sequence hh.
Thus: 55/171
Ask: Calculate prob of sequence kd when two letters picked without replacement from {z: 3, k: 1, p: 2, d: 6}.
Thus: 1/22
Ask: What is prob of sequence dkw when three letters picked without replacement from kksdlsw?
Thus: 1/105
Ask: Two letters picked without replacement from {t: 1, p: 1, h: 1, m: 1, z: 2, a: 1}. What is prob of sequence hp?
Thus: 1/42
Ask: What is prob of sequence mr when two letters picked without replacement from {m: 3, r: 8}?
Thus: 12/55
Ask: What is prob of sequence nhd when three letters picked without replacement from dznth?
Thus: 1/60
Ask: Three letters picked without replacement from dxffstxfxvxfvxf. Give prob of sequence xvx.
Thus: 4/273
Ask: What is prob of sequence mch when three letters picked without replacement from ppmppchkmmpucpmm?
Thus: 1/336
Ask: Calculate prob of sequence ooq when three letters picked with
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english
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numbers: div remainder
----------------------
Item: Calculate the remainder when 1798340 is divided by 1904.
A.: 964
Item: What is the remainder when 272 is divided by 13?
A.: 12
Item: What is the remainder when 1131432 is divided by 261?
A.: 258
Item: What is the remainder when 66 is divided by 59?
A.: 7
Item: What is the remainder when 11819 is divided by 2532?
A.: 1691
Item: Calculate the remainder when 4794850 is divided by 31.
A.: 18
Item: Calculate the remainder when 674671 is divided by 283.
A.: 282
Item: What is the remainder when 20938386 is divided by 2617297?
A.: 10
Item: Calculate the remainder when 109 is divided by 88.
A.: 21
Item: Calculate the remainder when 789 is divided by 88.
A.: 85
Item: Calculate the remainder when 20241 is divided by 205.
A.: 151
Item: What is the remainder when 160637033 is divided by 215?
A.: 213
Item: What is the remainder when 5129 is divided by 41?
A.: 4
Item: What is the remainder when 778 is divided by 39?
A.: 37
Item: Calculate the remainder when 266 is divided by 82.
A.: 20
Item: Calculate the remainder when 62 is divided by 45.
A.: 17
Item: What is the remainder when 516010 is divided by 257945?
A.: 120
Item: Calculate the remainder when 6239 is divided by 236.
A.: 103
Item: Calculate the remainder when 474 is divided by 113.
A.: 22
Item: What is the remainder when 25406 is divided by 165?
A.: 161
Item: What is the remainder when 67697699 is divided by 28?
A.: 27
Item: Calculate the remainder when 4728328 is divided by 2364162.
A.: 4
Item: What is the remainder when 23609159 is divided by 3952?
A.: 3863
Item: What is the remainder when 5518 is divided by 309?
A.: 265
Item: What is the remainder when 27640 is divided by 144?
A.: 136
Item: What is the remainder when 397 is divided by 51?
A.: 40
Item: Calculate the remainder when 576 is divided by 57.
A.: 6
Item: What is the remainder when 30401185 is divided by 10133708?
A.: 61
Item: What is the remainder when 416123 is divided by 138704?
A.: 11
Item: Calculate the rem
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english
|
probability: swr p level set
----------------------------
Exercise: What is prob of picking 2 b and 1 o when three letters picked without replacement from hbkkokbkbrvkkkkr?
Steps: 3/560
Exercise: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from velevxzzcvex.
Steps: 0
Exercise: Calculate prob of picking 2 j and 2 e when four letters picked without replacement from {i: 4, v: 1, o: 6, j: 2, e: 4}.
Steps: 3/1190
Exercise: Calculate prob of picking 2 f and 1 h when three letters picked without replacement from {h: 4, n: 1, w: 2, f: 6, a: 2}.
Steps: 12/91
Exercise: Calculate prob of picking 1 r, 1 j, and 2 b when four letters picked without replacement from {o: 1, r: 1, b: 2, j: 1}.
Steps: 1/5
Exercise: What is prob of picking 2 p, 1 n, and 1 d when four letters picked without replacement from dtddpnfnpndddpf?
Steps: 18/455
Exercise: Two letters picked without replacement from {o: 7}. What is prob of picking 2 o?
Steps: 1
Exercise: Calculate prob of picking 1 d, 1 l, and 2 f when four letters picked without replacement from zlsddzfdddsdzf.
Steps: 6/1001
Exercise: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from kttgktst.
Steps: 3/14
Exercise: Three letters picked without replacement from {n: 3, t: 7, r: 3, w: 1}. What is prob of picking 2 n and 1 r?
Steps: 9/364
Exercise: Two letters picked without replacement from {i: 4, f: 6}. Give prob of picking 2 f.
Steps: 1/3
Exercise: Calculate prob of picking 3 w and 1 b when four letters picked without replacement from {w: 3, b: 2, i: 10}.
Steps: 2/1365
Exercise: Three letters picked without replacement from {h: 4, p: 1, d: 2, a: 10}. Give prob of picking 1 p, 1 d, and 1 a.
Steps: 1/34
Exercise: Two letters picked without replacement from {h: 3, f: 3}. What is prob of picking 1 f and 1 h?
Steps: 3/5
Exercise: What is prob of picking 1 p and 2 s when three letters picked without replacement from {b: 1, p: 3, y: 1, u: 2, s: 3}?
Steps: 3/40
Exercise: Thre
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english
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measurement: conversion
-----------------------
Part A: How many months are there in 55/3 of a decade?
Gives: 2200
Part A: Convert 6.6747789 minutes to days.
Gives: 0.004635263125
Part A: What is 21/2 of a litre in millilitres?
Gives: 10500
Part A: What is 155.8453 centuries in millennia?
Gives: 15.58453
Part A: How many centimeters are there in 75181.16 nanometers?
Gives: 0.007518116
Part A: How many kilograms are there in five quarters of a tonne?
Gives: 1250
Part A: How many meters are there in 759071.3 micrometers?
Gives: 0.7590713
Part A: How many kilometers are there in 18.3011m?
Gives: 0.0183011
Part A: What is 985.2222 decades in months?
Gives: 118226.664
Part A: How many hours are there in three eighths of a week?
Gives: 63
Part A: Convert 276172.11 months to years.
Gives: 23014.3425
Part A: How many millimeters are there in 7/2 of a meter?
Gives: 3500
Part A: What is 172093.3t in kilograms?
Gives: 172093300
Part A: How many millimeters are there in 21/5 of a meter?
Gives: 4200
Part A: How many seconds are there in fourty-nine quarters of a hour?
Gives: 44100
Part A: How many months are there in 93.63431 decades?
Gives: 11236.1172
Part A: How many minutes are there in 13/5 of a day?
Gives: 3744
Part A: What is 18/5 of a tonne in kilograms?
Gives: 3600
Part A: How many litres are there in 19.49605 millilitres?
Gives: 0.01949605
Part A: What is 4.15595ml in litres?
Gives: 0.00415595
Part A: What is 33/5 of a meter in centimeters?
Gives: 660
Part A: What is 0.8193475cm in meters?
Gives: 0.008193475
Part A: What is 0.7182418ms in microseconds?
Gives: 718.2418
Part A: How many years are there in 59680.72 millennia?
Gives: 59680720
Part A: Convert 26533.64 millilitres to litres.
Gives: 26.53364
Part A: How many millimeters are there in 0.3325517cm?
Gives: 3.325517
Part A: Convert 41.4994mm to kilometers.
Gives: 0.0000414994
Part A: What is twenty-six fifths of a gram in milligrams?
Gives: 5200
Part A: What is 3/10 of a litre in millilitres?
Gives: 300
Part A: How
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english
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numbers: is factor
------------------
Example: Is 401150 a multiple of 50?
Response: True
Example: Is 11 a factor of 21087?
Response: True
Example: Is 25 a factor of 1125?
Response: True
Example: Does 31 divide 133?
Response: False
Example: Is 11 a factor of 165143?
Response: True
Example: Does 36 divide 150461413?
Response: False
Example: Does 1824 divide 44259195?
Response: False
Example: Does 28 divide 29851?
Response: False
Example: Is 71287368 a multiple of 829?
Response: True
Example: Does 65 divide 93987720?
Response: False
Example: Is 611520 a multiple of 14?
Response: True
Example: Is 7016 a multiple of 16?
Response: False
Example: Is 2154957 a multiple of 7?
Response: True
Example: Is 2123139 a multiple of 309?
Response: True
Example: Does 36 divide 138255?
Response: False
Example: Is 181612 a multiple of 8?
Response: False
Example: Is 60 a factor of 58386?
Response: False
Example: Is 92 a factor of 608?
Response: False
Example: Does 12 divide 16286?
Response: False
Example: Does 189 divide 95208097?
Response: False
Example: Is 2131 a multiple of 4?
Response: False
Example: Does 4 divide 8457?
Response: False
Example: Does 322 divide 734073726?
Response: False
Example: Does 4 divide 15248354?
Response: False
Example: Is 36708 a multiple of 14?
Response: True
Example: Is 120363 a multiple of 27?
Response: False
Example: Is 83 a factor of 21248?
Response: True
Example: Is 3040472880 a multiple of 3884?
Response: True
Example: Is 598428 a multiple of 54?
Response: True
Example: Is 4253 a multiple of 49?
Response: False
Example: Is 34020 a multiple of 60?
Response: True
Example: Does 22 divide 65142?
Response: True
Example: Does 13 divide 2173?
Response: False
Example: Does 133 divide 4251?
Response: False
Example: Does 14 divide 70350584?
Response: False
Example: Is 10530 a multiple of 9?
Response: True
Example: Is 15130 a multiple of 247?
Response: False
Example: Does 7 divide 1600948?
Response: False
Example: Is 4999820 a multiple of 70?
Response: True
Exam
|
english
|
measurement: time
-----------------
Q: What is 195 minutes before 8:18 AM?
Therefore: 5:03 AM
Q: How many minutes are there between 6:16 PM and 1:55 AM?
Therefore: 459
Q: How many minutes are there between 12:35 AM and 5:45 AM?
Therefore: 310
Q: How many minutes are there between 8:13 PM and 1:33 AM?
Therefore: 320
Q: What is 688 minutes after 11:33 AM?
Therefore: 11:01 PM
Q: What is 503 minutes after 3:52 AM?
Therefore: 12:15 PM
Q: How many minutes are there between 11:36 AM and 7:12 PM?
Therefore: 456
Q: How many minutes are there between 2:42 AM and 10:28 AM?
Therefore: 466
Q: How many minutes are there between 2:54 AM and 4:24 AM?
Therefore: 90
Q: What is 595 minutes before 2:36 PM?
Therefore: 4:41 AM
Q: What is 493 minutes after 12:30 PM?
Therefore: 8:43 PM
Q: What is 414 minutes after 5:41 PM?
Therefore: 12:35 AM
Q: What is 342 minutes after 8:24 PM?
Therefore: 2:06 AM
Q: How many minutes are there between 3:19 PM and 9:03 PM?
Therefore: 344
Q: What is 317 minutes before 7:24 PM?
Therefore: 2:07 PM
Q: What is 490 minutes after 10:06 PM?
Therefore: 6:16 AM
Q: What is 341 minutes before 4:52 PM?
Therefore: 11:11 AM
Q: How many minutes are there between 10:43 AM and 11:42 AM?
Therefore: 59
Q: How many minutes are there between 7:55 AM and 2:29 PM?
Therefore: 394
Q: What is 480 minutes after 3:26 PM?
Therefore: 11:26 PM
Q: What is 98 minutes before 12:32 AM?
Therefore: 10:54 PM
Q: What is 372 minutes after 6:22 AM?
Therefore: 12:34 PM
Q: How many minutes are there between 4:49 PM and 6:40 PM?
Therefore: 111
Q: How many minutes are there between 1:05 AM and 10:51 AM?
Therefore: 586
Q: How many minutes are there between 4:53 PM and 4:25 AM?
Therefore: 692
Q: How many minutes are there between 1:02 AM and 1:54 AM?
Therefore: 52
Q: How many minutes are there between 9:09 AM and 3:51 PM?
Therefore: 402
Q: How many minutes are there between 12:13 AM and 10:18 AM?
Therefore: 605
Q: How many minutes are there between 11:54 PM and 10:30 AM?
Therefore: 636
Q: What is 419 mi
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english
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probability: swr p level set
----------------------------
Inquiry: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from wwwjjmwbwwjb.
Soln: 1/11
Inquiry: Two letters picked without replacement from {x: 1, n: 5, l: 12}. Give prob of picking 2 l.
Soln: 22/51
Inquiry: Two letters picked without replacement from tttmttmt. What is prob of picking 1 t and 1 m?
Soln: 3/7
Inquiry: Four letters picked without replacement from {w: 4, a: 5, f: 1}. What is prob of picking 1 f and 3 w?
Soln: 2/105
Inquiry: Two letters picked without replacement from {t: 2, d: 1, m: 4, u: 3, k: 2}. Give prob of picking 1 k and 1 t.
Soln: 2/33
Inquiry: What is prob of picking 1 h and 2 u when three letters picked without replacement from huuppppjhjuuhup?
Soln: 6/91
Inquiry: Two letters picked without replacement from {e: 1, f: 2, u: 2}. What is prob of picking 1 u and 1 f?
Soln: 2/5
Inquiry: What is prob of picking 2 p when two letters picked without replacement from ivpp?
Soln: 1/6
Inquiry: Calculate prob of picking 1 r, 1 e, and 1 o when three letters picked without replacement from ejrejzor.
Soln: 1/14
Inquiry: Two letters picked without replacement from {l: 1, i: 18}. Give prob of picking 1 l and 1 i.
Soln: 2/19
Inquiry: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from oool.
Soln: 1/2
Inquiry: What is prob of picking 1 u, 1 e, and 1 v when three letters picked without replacement from auviuie?
Soln: 2/35
Inquiry: Three letters picked without replacement from yryrrdpprrdpr. What is prob of picking 1 d, 1 p, and 1 r?
Soln: 18/143
Inquiry: Four letters picked without replacement from {q: 2, y: 1, n: 2, d: 1, h: 2}. Give prob of picking 1 q, 2 y, and 1 n.
Soln: 0
Inquiry: What is prob of picking 1 b and 1 u when two letters picked without replacement from {u: 1, b: 1, l: 2, s: 3, d: 3, a: 1}?
Soln: 1/55
Inquiry: What is prob of picking 1 p and 1 g when two letters picked without replacement from dccipihigccc?
Soln: 1/66
Inquir
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english
|
numbers: div remainder
----------------------
Q-: What is the remainder when 366649 is divided by 991?
Math A: 970
Q-: What is the remainder when 1098058 is divided by 19607?
Math A: 66
Q-: What is the remainder when 984385 is divided by 330?
Math A: 325
Q-: What is the remainder when 1170 is divided by 120?
Math A: 90
Q-: Calculate the remainder when 11532 is divided by 5614.
Math A: 304
Q-: What is the remainder when 359 is divided by 87?
Math A: 11
Q-: Calculate the remainder when 162 is divided by 36.
Math A: 18
Q-: What is the remainder when 55350 is divided by 22?
Math A: 20
Q-: Calculate the remainder when 1275449 is divided by 11.
Math A: 10
Q-: Calculate the remainder when 436 is divided by 25.
Math A: 11
Q-: What is the remainder when 182 is divided by 24?
Math A: 14
Q-: What is the remainder when 309563 is divided by 860?
Math A: 823
Q-: What is the remainder when 1009060 is divided by 148?
Math A: 144
Q-: What is the remainder when 4553 is divided by 289?
Math A: 218
Q-: What is the remainder when 2143163 is divided by 2376?
Math A: 11
Q-: Calculate the remainder when 144319 is divided by 2176.
Math A: 703
Q-: Calculate the remainder when 746 is divided by 188.
Math A: 182
Q-: Calculate the remainder when 55227 is divided by 285.
Math A: 222
Q-: Calculate the remainder when 19767 is divided by 22.
Math A: 11
Q-: Calculate the remainder when 318 is divided by 19.
Math A: 14
Q-: Calculate the remainder when 1241 is divided by 69.
Math A: 68
Q-: Calculate the remainder when 1862 is divided by 69.
Math A: 68
Q-: What is the remainder when 255 is divided by 4?
Math A: 3
Q-: What is the remainder when 102 is divided by 8?
Math A: 6
Q-: What is the remainder when 278 is divided by 28?
Math A: 26
Q-: Calculate the remainder when 86847 is divided by 274.
Math A: 263
Q-: What is the remainder when 825 is divided by 201?
Math A: 21
Q-: What is the remainder when 92594 is divided by 753?
Math A: 728
Q-: Calculate the remainder when 25 is divided by 9.
Math A: 7
Q-:
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english
|
numbers: is prime
-----------------
Math Problem: Is 22370893 prime?
Solution: False
Math Problem: Is 26056873 prime?
Solution: True
Math Problem: Is 472309 prime?
Solution: True
Math Problem: Is 6688967 a prime number?
Solution: True
Math Problem: Is 210391 a composite number?
Solution: False
Math Problem: Is 36973 composite?
Solution: False
Math Problem: Is 19945129 a composite number?
Solution: False
Math Problem: Is 8501893 a composite number?
Solution: False
Math Problem: Is 1928749 composite?
Solution: True
Math Problem: Is 579009131 a composite number?
Solution: True
Math Problem: Is 15054574229 a prime number?
Solution: False
Math Problem: Is 146401 composite?
Solution: True
Math Problem: Is 61752793 a prime number?
Solution: False
Math Problem: Is 11747468137 a composite number?
Solution: False
Math Problem: Is 119393071277 composite?
Solution: True
Math Problem: Is 5890541717 composite?
Solution: False
Math Problem: Is 27054097471 composite?
Solution: True
Math Problem: Is 20627 a prime number?
Solution: True
Math Problem: Is 241068783 prime?
Solution: False
Math Problem: Is 3533834329 a composite number?
Solution: False
Math Problem: Is 1962509383 prime?
Solution: False
Math Problem: Is 4915331 a prime number?
Solution: True
Math Problem: Is 83351 a composite number?
Solution: True
Math Problem: Is 2506421 composite?
Solution: False
Math Problem: Is 60539389111 a composite number?
Solution: False
Math Problem: Is 169111 prime?
Solution: True
Math Problem: Is 370063231 composite?
Solution: True
Math Problem: Is 393769477 a composite number?
Solution: False
Math Problem: Is 29999573683 a composite number?
Solution: False
Math Problem: Is 228269573 a prime number?
Solution: False
Math Problem: Is 127416109813 a composite number?
Solution: False
Math Problem: Is 128423059 a composite number?
Solution: False
Math Problem: Is 275726093 composite?
Solution: True
Math Problem: Is 16363786223 prime?
Solution: True
Math Problem: Is 758123 composite?
Solution: True
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english
|
probability: swr p level set
----------------------------
What if: Three letters picked without replacement from pqeqewca. Give prob of picking 1 c, 1 a, and 1 e.
Key: 1/28
What if: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from agoaaii.
Key: 1/7
What if: Three letters picked without replacement from {v: 6, n: 7}. Give prob of picking 1 v and 2 n.
Key: 63/143
What if: What is prob of picking 2 q when two letters picked without replacement from qtllq?
Key: 1/10
What if: Four letters picked without replacement from msmmmlsssllslsss. Give prob of picking 2 s, 1 m, and 1 l.
Key: 16/65
What if: Four letters picked without replacement from {v: 15, c: 3}. Give prob of picking 4 v.
Key: 91/204
What if: Calculate prob of picking 2 p when two letters picked without replacement from {m: 3, p: 2, b: 2, j: 4, i: 2}.
Key: 1/78
What if: What is prob of picking 3 v when three letters picked without replacement from vvlvllvv?
Key: 5/28
What if: Calculate prob of picking 2 w and 2 j when four letters picked without replacement from jjawwjwjwjwjaj.
Key: 30/143
What if: What is prob of picking 2 r and 2 t when four letters picked without replacement from ttttrrxrttr?
Key: 3/11
What if: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from crwrrrrrrc.
Key: 7/40
What if: Four letters picked without replacement from jwmwwjtkwwmj. What is prob of picking 2 w, 1 k, and 1 m?
Key: 4/99
What if: Two letters picked without replacement from {q: 1, a: 1, h: 1, e: 1, l: 2, c: 1}. What is prob of picking 1 e and 1 l?
Key: 2/21
What if: What is prob of picking 1 r and 1 p when two letters picked without replacement from {r: 2, p: 5}?
Key: 10/21
What if: Calculate prob of picking 3 d and 1 m when four letters picked without replacement from xxxdxxmxxmmxddxm.
Key: 1/455
What if: What is prob of picking 1 y and 1 d when two letters picked without replacement from ffdyid?
Key: 2/15
What if: Two letters picked without replacement
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english
|
probability: swr p sequence
---------------------------
Prompt: What is prob of sequence lq when two letters picked without replacement from {l: 2, q: 3, w: 7}?
Fix: 1/22
Prompt: Three letters picked without replacement from {m: 5}. What is prob of sequence mmm?
Fix: 1
Prompt: Four letters picked without replacement from mmyrmymrrrmymmmm. What is prob of sequence yrym?
Fix: 9/1820
Prompt: Calculate prob of sequence cgzc when four letters picked without replacement from gzzcwzcsdcd.
Fix: 1/440
Prompt: Calculate prob of sequence opo when three letters picked without replacement from fbfbbbfoffoopf.
Fix: 1/364
Prompt: Four letters picked without replacement from jljyyjqjssulj. What is prob of sequence jqll?
Fix: 1/1716
Prompt: Calculate prob of sequence tl when two letters picked without replacement from {f: 7, l: 4, t: 3}.
Fix: 6/91
Prompt: Two letters picked without replacement from {v: 1, n: 2, a: 1}. Give prob of sequence vv.
Fix: 0
Prompt: Two letters picked without replacement from {r: 11, l: 3, a: 1}. What is prob of sequence al?
Fix: 1/70
Prompt: Four letters picked without replacement from fwfwww. What is prob of sequence ffww?
Fix: 1/15
Prompt: Calculate prob of sequence uuop when four letters picked without replacement from udouddppdddppdddoo.
Fix: 1/3060
Prompt: Four letters picked without replacement from {b: 8, s: 3}. Give prob of sequence ssbs.
Fix: 1/165
Prompt: Two letters picked without replacement from {e: 1, n: 2}. Give prob of sequence en.
Fix: 1/3
Prompt: Four letters picked without replacement from {o: 3, k: 3, d: 1}. Give prob of sequence okkd.
Fix: 3/140
Prompt: Four letters picked without replacement from {e: 7, s: 3}. What is prob of sequence ssee?
Fix: 1/20
Prompt: Calculate prob of sequence wr when two letters picked without replacement from {w: 1, k: 1, r: 2}.
Fix: 1/6
Prompt: Two letters picked without replacement from {f: 5, q: 2, t: 3, u: 3, o: 3}. What is prob of sequence tf?
Fix: 1/16
Prompt: What is prob of sequence pf when two lette
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english
|
measurement: time
-----------------
Q: What is 532 minutes after 7:33 PM?
Workthrough: 4:25 AM
Q: What is 496 minutes after 3:58 AM?
Workthrough: 12:14 PM
Q: How many minutes are there between 2:06 AM and 6:49 AM?
Workthrough: 283
Q: What is 142 minutes after 5:45 PM?
Workthrough: 8:07 PM
Q: How many minutes are there between 4:20 PM and 6:52 PM?
Workthrough: 152
Q: How many minutes are there between 1:58 AM and 12:14 PM?
Workthrough: 616
Q: What is 597 minutes after 12:00 PM?
Workthrough: 9:57 PM
Q: How many minutes are there between 1:56 PM and 3:12 PM?
Workthrough: 76
Q: How many minutes are there between 8:40 PM and 3:08 AM?
Workthrough: 388
Q: How many minutes are there between 9:02 AM and 6:20 PM?
Workthrough: 558
Q: How many minutes are there between 1:26 PM and 7:33 PM?
Workthrough: 367
Q: What is 708 minutes after 1:35 PM?
Workthrough: 1:23 AM
Q: What is 313 minutes before 12:18 AM?
Workthrough: 7:05 PM
Q: How many minutes are there between 11:19 AM and 1:38 PM?
Workthrough: 139
Q: How many minutes are there between 9:27 PM and 3:40 AM?
Workthrough: 373
Q: How many minutes are there between 4:12 AM and 1:54 PM?
Workthrough: 582
Q: How many minutes are there between 9:57 PM and 10:49 PM?
Workthrough: 52
Q: What is 572 minutes before 11:13 PM?
Workthrough: 1:41 PM
Q: How many minutes are there between 10:12 AM and 8:43 PM?
Workthrough: 631
Q: How many minutes are there between 1:23 PM and 12:28 AM?
Workthrough: 665
Q: How many minutes are there between 8:13 AM and 11:14 AM?
Workthrough: 181
Q: How many minutes are there between 6:17 PM and 3:35 AM?
Workthrough: 558
Q: How many minutes are there between 2:01 PM and 3:33 PM?
Workthrough: 92
Q: How many minutes are there between 8:35 AM and 11:46 AM?
Workthrough: 191
Q: What is 646 minutes before 3:06 AM?
Workthrough: 4:20 PM
Q: What is 130 minutes after 7:26 AM?
Workthrough: 9:36 AM
Q: How many minutes are there between 6:58 PM and 4:45 AM?
Workthrough: 587
Q: How many minutes are there between 9:03 AM and 4:31
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english
|
numbers: div remainder
----------------------
Example: What is the remainder when 29719 is divided by 74?
Answer: 45
Example: What is the remainder when 375 is divided by 24?
Answer: 15
Example: Calculate the remainder when 324337 is divided by 8535.
Answer: 7
Example: What is the remainder when 5300 is divided by 56?
Answer: 36
Example: Calculate the remainder when 320 is divided by 163.
Answer: 157
Example: What is the remainder when 22320 is divided by 22019?
Answer: 301
Example: What is the remainder when 2131 is divided by 61?
Answer: 57
Example: What is the remainder when 2539 is divided by 306?
Answer: 91
Example: Calculate the remainder when 10622 is divided by 288.
Answer: 254
Example: What is the remainder when 1278891 is divided by 11?
Answer: 9
Example: What is the remainder when 16248 is divided by 15861?
Answer: 387
Example: Calculate the remainder when 75 is divided by 39.
Answer: 36
Example: Calculate the remainder when 17925 is divided by 152.
Answer: 141
Example: What is the remainder when 264 is divided by 47?
Answer: 29
Example: What is the remainder when 68 is divided by 23?
Answer: 22
Example: What is the remainder when 485812 is divided by 121453?
Answer: 0
Example: What is the remainder when 1079 is divided by 222?
Answer: 191
Example: Calculate the remainder when 636018 is divided by 28.
Answer: 26
Example: What is the remainder when 436891 is divided by 22987?
Answer: 138
Example: Calculate the remainder when 170847 is divided by 170826.
Answer: 21
Example: What is the remainder when 14810 is divided by 4?
Answer: 2
Example: What is the remainder when 2985593 is divided by 600?
Answer: 593
Example: What is the remainder when 78994 is divided by 20?
Answer: 14
Example: What is the remainder when 3109885 is divided by 46?
Answer: 9
Example: Calculate the remainder when 9430 is divided by 1178.
Answer: 6
Example: What is the remainder when 69 is divided by 25?
Answer: 19
Example: What is the remainder when 1544 is divided by 7?
Answer: 4
Examp
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english
|
numbers: is prime
-----------------
Test item: Is 46390183517 prime?
Ans: True
Test item: Is 2563 a prime number?
Ans: False
Test item: Is 46151086829 a composite number?
Ans: False
Test item: Is 14713 a composite number?
Ans: False
Test item: Is 311117 composite?
Ans: True
Test item: Is 27580388587 composite?
Ans: True
Test item: Is 220809247 a prime number?
Ans: False
Test item: Is 1653085613 prime?
Ans: True
Test item: Is 71630947 a composite number?
Ans: True
Test item: Is 154319 prime?
Ans: False
Test item: Is 6091481933 composite?
Ans: True
Test item: Is 2355319691 composite?
Ans: False
Test item: Is 295469 composite?
Ans: True
Test item: Is 46034741 a prime number?
Ans: True
Test item: Is 4645 prime?
Ans: False
Test item: Is 118 prime?
Ans: False
Test item: Is 28682424863 composite?
Ans: True
Test item: Is 7071 composite?
Ans: True
Test item: Is 109595129 prime?
Ans: False
Test item: Is 263 composite?
Ans: False
Test item: Is 517 prime?
Ans: False
Test item: Is 23969 composite?
Ans: True
Test item: Is 123791 composite?
Ans: False
Test item: Is 34341 prime?
Ans: False
Test item: Is 59304803 prime?
Ans: True
Test item: Is 1501777 prime?
Ans: True
Test item: Is 186237607 a composite number?
Ans: True
Test item: Is 1007219 composite?
Ans: True
Test item: Is 91328863 a composite number?
Ans: True
Test item: Is 89319114047 prime?
Ans: False
Test item: Is 4114828943 a composite number?
Ans: False
Test item: Is 136589 a composite number?
Ans: True
Test item: Is 10908663731 prime?
Ans: False
Test item: Is 521305313 composite?
Ans: False
Test item: Is 1345819729 prime?
Ans: True
Test item: Is 298723 a prime number?
Ans: True
Test item: Is 3042279491 a composite number?
Ans: False
Test item: Is 16057 prime?
Ans: True
Test item: Is 3949793 a prime number?
Ans: True
Test item: Is 5015971 a prime number?
Ans: True
Test item: Is 50582039 a prime number?
Ans: True
Test item: Is 8239091539 a prime number?
Ans: False
Test item: Is 102241 prime?
Ans: True
Test item: Is 36969057
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measurement: time
-----------------
Subquestion: What is 482 minutes after 7:51 PM?
Reply: 3:53 AM
Subquestion: How many minutes are there between 7:12 AM and 6:34 PM?
Reply: 682
Subquestion: How many minutes are there between 7:57 PM and 2:25 AM?
Reply: 388
Subquestion: What is 576 minutes before 4:17 AM?
Reply: 6:41 PM
Subquestion: How many minutes are there between 10:26 AM and 7:24 PM?
Reply: 538
Subquestion: What is 682 minutes after 8:11 AM?
Reply: 7:33 PM
Subquestion: What is 587 minutes before 3:39 PM?
Reply: 5:52 AM
Subquestion: What is 167 minutes after 8:59 AM?
Reply: 11:46 AM
Subquestion: What is 160 minutes after 8:43 PM?
Reply: 11:23 PM
Subquestion: What is 576 minutes after 1:00 AM?
Reply: 10:36 AM
Subquestion: What is 624 minutes after 1:50 PM?
Reply: 12:14 AM
Subquestion: How many minutes are there between 5:53 PM and 4:11 AM?
Reply: 618
Subquestion: What is 628 minutes after 3:01 AM?
Reply: 1:29 PM
Subquestion: How many minutes are there between 4:47 PM and 10:15 PM?
Reply: 328
Subquestion: How many minutes are there between 12:31 PM and 3:06 PM?
Reply: 155
Subquestion: What is 309 minutes before 2:38 AM?
Reply: 9:29 PM
Subquestion: What is 514 minutes after 11:11 AM?
Reply: 7:45 PM
Subquestion: What is 662 minutes after 1:02 AM?
Reply: 12:04 PM
Subquestion: How many minutes are there between 4:38 AM and 3:06 PM?
Reply: 628
Subquestion: What is 2 minutes after 8:02 PM?
Reply: 8:04 PM
Subquestion: How many minutes are there between 12:41 AM and 12:31 PM?
Reply: 710
Subquestion: How many minutes are there between 4:02 PM and 5:30 PM?
Reply: 88
Subquestion: What is 315 minutes before 5:23 AM?
Reply: 12:08 AM
Subquestion: How many minutes are there between 3:22 AM and 2:47 PM?
Reply: 685
Subquestion: How many minutes are there between 12:13 AM and 7:52 AM?
Reply: 459
Subquestion: How many minutes are there between 11:26 AM and 7:03 PM?
Reply: 457
Subquestion: What is 373 minutes before 8:40 AM?
Reply: 2:27 AM
Subquestion: What is 709 minutes before 9:3
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english
|
numbers: gcd
------------
Question: Calculate the highest common factor of 8910 and 55935.
Explanation: 495
Question: What is the highest common factor of 3293 and 148?
Explanation: 37
Question: What is the greatest common divisor of 108 and 63?
Explanation: 9
Question: What is the highest common divisor of 272311 and 897?
Explanation: 13
Question: What is the greatest common factor of 92064 and 6936?
Explanation: 24
Question: What is the greatest common divisor of 96 and 352?
Explanation: 32
Question: What is the highest common factor of 28 and 4228?
Explanation: 28
Question: Calculate the greatest common divisor of 213993 and 42811.
Explanation: 31
Question: What is the greatest common factor of 102 and 42?
Explanation: 6
Question: Calculate the highest common factor of 83721 and 493726.
Explanation: 43
Question: What is the highest common divisor of 4992 and 179751?
Explanation: 39
Question: Calculate the greatest common divisor of 207 and 136971.
Explanation: 9
Question: Calculate the highest common factor of 142283 and 214777.
Explanation: 541
Question: What is the highest common divisor of 1605 and 2235?
Explanation: 15
Question: Calculate the greatest common factor of 242515 and 2639.
Explanation: 91
Question: Calculate the greatest common factor of 26 and 1053.
Explanation: 13
Question: What is the highest common divisor of 8177 and 221?
Explanation: 221
Question: Calculate the highest common factor of 15 and 915.
Explanation: 15
Question: What is the highest common divisor of 8484 and 6447?
Explanation: 21
Question: Calculate the highest common divisor of 235584 and 1872.
Explanation: 144
Question: What is the greatest common factor of 167255058 and 6?
Explanation: 6
Question: Calculate the highest common factor of 1050 and 61005.
Explanation: 105
Question: What is the greatest common factor of 490 and 166881610?
Explanation: 70
Question: What is the highest common divisor of 27 and 9873?
Explanation: 9
Question: Calculate the highest common factor of 4836
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english
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numbers: place value
--------------------
Exercise: What is the thousands digit of 131518?
Workthrough: 1
Exercise: What is the ten millions digit of 52233460?
Workthrough: 5
Exercise: What is the hundred thousands digit of 2007283?
Workthrough: 0
Exercise: What is the hundreds digit of 2848?
Workthrough: 8
Exercise: What is the tens digit of 48?
Workthrough: 4
Exercise: What is the hundreds digit of 4826942?
Workthrough: 9
Exercise: What is the tens digit of 47224?
Workthrough: 2
Exercise: What is the hundred thousands digit of 10028683?
Workthrough: 0
Exercise: What is the hundred thousands digit of 83681722?
Workthrough: 6
Exercise: What is the hundreds digit of 582?
Workthrough: 5
Exercise: What is the ten thousands digit of 63866?
Workthrough: 6
Exercise: What is the hundred thousands digit of 400283?
Workthrough: 4
Exercise: What is the hundreds digit of 4639?
Workthrough: 6
Exercise: What is the hundreds digit of 687927443?
Workthrough: 4
Exercise: What is the tens digit of 59613256?
Workthrough: 5
Exercise: What is the millions digit of 29095315?
Workthrough: 9
Exercise: What is the hundreds digit of 2708706?
Workthrough: 7
Exercise: What is the millions digit of 4478952?
Workthrough: 4
Exercise: What is the units digit of 8641?
Workthrough: 1
Exercise: What is the units digit of 9128?
Workthrough: 8
Exercise: What is the tens digit of 87205?
Workthrough: 0
Exercise: What is the units digit of 54800?
Workthrough: 0
Exercise: What is the hundred millions digit of 501805833?
Workthrough: 5
Exercise: What is the ten thousands digit of 6684220?
Workthrough: 8
Exercise: What is the tens digit of 803624319?
Workthrough: 1
Exercise: What is the tens digit of 431101?
Workthrough: 0
Exercise: What is the hundred millions digit of 4746734423?
Workthrough: 7
Exercise: What is the tens digit of 1794?
Workthrough: 9
Exercise: What is the tens digit of 414005509?
Workthrough: 0
Exercise: What is the thousands digit of 77600?
Workthrough: 7
Exercise: What is the ten thousa
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english
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measurement: conversion
-----------------------
Ask: How many kilometers are there in 65343.19mm?
Result: 0.06534319
Ask: How many microseconds are there in 9210.242 minutes?
Result: 552614520000
Ask: What is 59/4 of a decade in months?
Result: 1770
Ask: How many years are there in 53/5 of a century?
Result: 1060
Ask: What is fifteen quarters of a litre in millilitres?
Result: 3750
Ask: How many millilitres are there in 32/5 of a litre?
Result: 6400
Ask: How many litres are there in 5.630242ml?
Result: 0.005630242
Ask: How many months are there in twenty-two fifteenths of a decade?
Result: 176
Ask: What is five quarters of a week in hours?
Result: 210
Ask: What is 7/4 of a day in hours?
Result: 42
Ask: How many decades are there in 9/10 of a century?
Result: 9
Ask: What is ten thirds of a century in months?
Result: 4000
Ask: How many months are there in sixty-seven fifths of a century?
Result: 16080
Ask: What is twenty-five eighths of a day in hours?
Result: 75
Ask: What is 45.78702 litres in millilitres?
Result: 45787.02
Ask: How many nanograms are there in 1/4 of a microgram?
Result: 250
Ask: How many kilometers are there in 199562.1 micrometers?
Result: 0.0001995621
Ask: What is seven halves of a century in decades?
Result: 35
Ask: What is thirty-three fifths of a millennium in years?
Result: 6600
Ask: How many years are there in 6/25 of a millennium?
Result: 240
Ask: What is 3/5 of a gram in milligrams?
Result: 600
Ask: What is 3/8 of a litre in millilitres?
Result: 375
Ask: What is one fifth of a century in decades?
Result: 2
Ask: Convert 739210.6 years to decades.
Result: 73921.06
Ask: What is 18505.93 millimeters in kilometers?
Result: 0.01850593
Ask: How many minutes are there in 243710.9 days?
Result: 350943696
Ask: How many months are there in four thirds of a decade?
Result: 160
Ask: How many millilitres are there in three eighths of a litre?
Result: 375
Ask: What is 17/2 of a microgram in nanograms?
Result: 8500
Ask: What is 170.0092989ns in weeks?
Resul
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english
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probability: swr p sequence
---------------------------
Puzzle: Calculate prob of sequence qh when two letters picked without replacement from hqqo.
Eval: 1/6
Puzzle: Calculate prob of sequence ne when two letters picked without replacement from xnnffffnnfxfeneffn.
Eval: 2/51
Puzzle: What is prob of sequence damm when four letters picked without replacement from {m: 3, a: 7, c: 4, d: 1, b: 1}?
Eval: 1/1040
Puzzle: Calculate prob of sequence tktt when four letters picked without replacement from {h: 6, k: 2, t: 10}.
Eval: 1/51
Puzzle: Three letters picked without replacement from {r: 3, m: 2, g: 2, k: 1, i: 7, x: 3}. What is prob of sequence mim?
Eval: 7/2448
Puzzle: Calculate prob of sequence czac when four letters picked without replacement from {c: 5, a: 1, z: 2, f: 1}.
Eval: 5/378
Puzzle: Three letters picked without replacement from wwgbgbgwbgg. What is prob of sequence bww?
Eval: 1/55
Puzzle: Two letters picked without replacement from tffffftffft. Give prob of sequence tf.
Eval: 12/55
Puzzle: Two letters picked without replacement from elsfllhflelefflff. What is prob of sequence fs?
Eval: 3/136
Puzzle: Calculate prob of sequence ui when two letters picked without replacement from iwwiussusws.
Eval: 2/55
Puzzle: What is prob of sequence jjv when three letters picked without replacement from {v: 1, j: 2}?
Eval: 1/3
Puzzle: Calculate prob of sequence tuuu when four letters picked without replacement from tututut.
Eval: 1/35
Puzzle: Calculate prob of sequence sos when three letters picked without replacement from oosooosoossooo.
Eval: 5/91
Puzzle: Two letters picked without replacement from trtttttttttt. What is prob of sequence rt?
Eval: 1/12
Puzzle: What is prob of sequence im when two letters picked without replacement from mimiimi?
Eval: 2/7
Puzzle: Calculate prob of sequence dy when two letters picked without replacement from {q: 9, d: 5, y: 1, k: 1}.
Eval: 1/48
Puzzle: What is prob of sequence pp when two letters picked without replacement from {p: 10}?
Eval
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english
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measurement: conversion
-----------------------
Step: How many decades are there in 0.8063485 years?
Solution: 0.08063485
Step: How many grams are there in 5/4 of a kilogram?
Solution: 1250
Step: What is 0.7279405t in grams?
Solution: 727940.5
Step: What is one fifth of a millennium in months?
Solution: 2400
Step: How many days are there in 179204.049s?
Solution: 2.0741209375
Step: Convert 890113.14 hours to weeks.
Solution: 5298.2925
Step: What is thirteen fifths of a gram in milligrams?
Solution: 2600
Step: Convert 53.9804 seconds to nanoseconds.
Solution: 53980400000
Step: What is twenty-five halves of a litre in millilitres?
Solution: 12500
Step: What is 7/4 of a centimeter in micrometers?
Solution: 17500
Step: How many minutes are there in 61/2 of a day?
Solution: 43920
Step: What is one sixteenth of a second in microseconds?
Solution: 62500
Step: How many nanograms are there in 2.950106 milligrams?
Solution: 2950106
Step: How many milligrams are there in sixty-one halves of a gram?
Solution: 30500
Step: What is 8.469165 millilitres in litres?
Solution: 0.008469165
Step: How many millilitres are there in 9/10 of a litre?
Solution: 900
Step: What is 3/32 of a millimeter in nanometers?
Solution: 93750
Step: How many nanoseconds are there in twenty-nine halves of a microsecond?
Solution: 14500
Step: How many kilograms are there in 3.498818 grams?
Solution: 0.003498818
Step: What is 25/2 of a litre in millilitres?
Solution: 12500
Step: Convert 22915.1 years to centuries.
Solution: 229.151
Step: How many millilitres are there in 25/2 of a litre?
Solution: 12500
Step: What is 19/4 of a kilometer in meters?
Solution: 4750
Step: How many millilitres are there in 7/2 of a litre?
Solution: 3500
Step: How many milligrams are there in 28552.31t?
Solution: 28552310000000
Step: How many seconds are there in 1/28 of a week?
Solution: 21600
Step: What is 11764.69ml in litres?
Solution: 11.76469
Step: What is fifteen quarters of a meter in centimeters?
Solution: 375
Step: How m
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english
|
measurement: conversion
-----------------------
Situation: What is three fifths of a decade in years?
Solution: 6
Situation: Convert 63.8228 weeks to milliseconds.
Solution: 38600029440
Situation: How many months are there in sixty-one quarters of a year?
Solution: 183
Situation: How many micrometers are there in 19/4 of a centimeter?
Solution: 47500
Situation: How many milliseconds are there in 17/10 of a second?
Solution: 1700
Situation: How many years are there in 2.61305 decades?
Solution: 26.1305
Situation: What is 7/2 of a micrometer in nanometers?
Solution: 3500
Situation: How many centuries are there in 0.5141245 millennia?
Solution: 5.141245
Situation: How many milliseconds are there in 19/4 of a second?
Solution: 4750
Situation: How many millilitres are there in one quarter of a litre?
Solution: 250
Situation: What is 66.65899 years in months?
Solution: 799.90788
Situation: How many micrometers are there in fourty-nine quarters of a millimeter?
Solution: 12250
Situation: How many months are there in 1/24 of a century?
Solution: 50
Situation: What is 6/5 of a kilometer in meters?
Solution: 1200
Situation: What is 7/4 of a gram in milligrams?
Solution: 1750
Situation: What is 5/4 of a century in months?
Solution: 1500
Situation: What is 5.040371 centimeters in nanometers?
Solution: 50403710
Situation: How many hours are there in 28.573524 seconds?
Solution: 0.00793709
Situation: Convert 46189489.5 minutes to weeks.
Solution: 4582.290625
Situation: What is four thirds of a minute in milliseconds?
Solution: 80000
Situation: How many decades are there in seven quarters of a millennium?
Solution: 175
Situation: What is one tenth of a kilometer in millimeters?
Solution: 100000
Situation: What is fourty-five halves of a tonne in kilograms?
Solution: 22500
Situation: How many millilitres are there in three tenths of a litre?
Solution: 300
Situation: What is 47/4 of a meter in centimeters?
Solution: 1175
Situation: What is 9.748831 millilitres in litres?
Solution: 0
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english
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numbers: is prime
-----------------
Subquestion: Is 18912973 prime?
A.: False
Subquestion: Is 34230307 a composite number?
A.: True
Subquestion: Is 280323023 a composite number?
A.: False
Subquestion: Is 66531263 composite?
A.: False
Subquestion: Is 118702 a composite number?
A.: True
Subquestion: Is 145942189 prime?
A.: True
Subquestion: Is 25223218469 a composite number?
A.: True
Subquestion: Is 32587721213 a prime number?
A.: True
Subquestion: Is 451 a prime number?
A.: False
Subquestion: Is 3490665779 prime?
A.: True
Subquestion: Is 10386245 a composite number?
A.: True
Subquestion: Is 819977 composite?
A.: False
Subquestion: Is 89 composite?
A.: False
Subquestion: Is 93024637 composite?
A.: False
Subquestion: Is 927552253 composite?
A.: False
Subquestion: Is 10006151 a prime number?
A.: True
Subquestion: Is 1930031 a prime number?
A.: False
Subquestion: Is 100981 prime?
A.: True
Subquestion: Is 1411 composite?
A.: True
Subquestion: Is 86819 a composite number?
A.: True
Subquestion: Is 2831 prime?
A.: False
Subquestion: Is 5599 composite?
A.: True
Subquestion: Is 728179 prime?
A.: False
Subquestion: Is 63647 a composite number?
A.: False
Subquestion: Is 74473513 prime?
A.: True
Subquestion: Is 1499717 composite?
A.: True
Subquestion: Is 15318509 a prime number?
A.: True
Subquestion: Is 2535132997 prime?
A.: True
Subquestion: Is 6874223117 a prime number?
A.: False
Subquestion: Is 18037 prime?
A.: False
Subquestion: Is 225053 a composite number?
A.: True
Subquestion: Is 6927 a composite number?
A.: True
Subquestion: Is 140025031 composite?
A.: False
Subquestion: Is 1693 a composite number?
A.: False
Subquestion: Is 7846388047 a composite number?
A.: False
Subquestion: Is 1278213107 prime?
A.: True
Subquestion: Is 78259 composite?
A.: False
Subquestion: Is 16183 a prime number?
A.: True
Subquestion: Is 8503211 a composite number?
A.: False
Subquestion: Is 21551 prime?
A.: False
Subquestion: Is 1206463861 prime?
A.: True
Subquestion: Is 104138381 composite?
A.: Fal
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english
|
numbers: place value
--------------------
Input: What is the units digit of 341057?
Finding: 7
Input: What is the ten thousands digit of 159328?
Finding: 5
Input: What is the tens digit of 361?
Finding: 6
Input: What is the thousands digit of 603375?
Finding: 3
Input: What is the tens digit of 608172286?
Finding: 8
Input: What is the ten thousands digit of 147889029?
Finding: 8
Input: What is the thousands digit of 164463641?
Finding: 3
Input: What is the hundreds digit of 29403144?
Finding: 1
Input: What is the tens digit of 964091?
Finding: 9
Input: What is the thousands digit of 1612?
Finding: 1
Input: What is the hundred thousands digit of 6048376?
Finding: 0
Input: What is the hundreds digit of 294?
Finding: 2
Input: What is the hundred thousands digit of 185221?
Finding: 1
Input: What is the tens digit of 262096?
Finding: 9
Input: What is the thousands digit of 143908?
Finding: 3
Input: What is the hundreds digit of 1209489070?
Finding: 0
Input: What is the thousands digit of 5739794994?
Finding: 4
Input: What is the units digit of 280750?
Finding: 0
Input: What is the hundreds digit of 4706?
Finding: 7
Input: What is the units digit of 199729?
Finding: 9
Input: What is the tens digit of 4726?
Finding: 2
Input: What is the hundred millions digit of 203218106?
Finding: 2
Input: What is the ten thousands digit of 1354612723?
Finding: 1
Input: What is the units digit of 39569191?
Finding: 1
Input: What is the thousands digit of 1870146?
Finding: 0
Input: What is the hundred millions digit of 1386157967?
Finding: 3
Input: What is the thousands digit of 2099759084?
Finding: 9
Input: What is the thousands digit of 2309?
Finding: 2
Input: What is the units digit of 119473?
Finding: 3
Input: What is the tens digit of 577129?
Finding: 2
Input: What is the hundreds digit of 1727640708?
Finding: 7
Input: What is the tens digit of 114684?
Finding: 8
Input: What is the thousands digit of 379769?
Finding: 9
Input: What is the ten millions digit of 305496364?
Finding: 0
Inpu
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english
|
numbers: is prime
-----------------
Conundrum: Is 2715341 prime?
Answer: False
Conundrum: Is 7741 composite?
Answer: False
Conundrum: Is 38821 a composite number?
Answer: False
Conundrum: Is 2346359483 composite?
Answer: True
Conundrum: Is 13071321661 prime?
Answer: False
Conundrum: Is 120749 prime?
Answer: True
Conundrum: Is 349729 composite?
Answer: False
Conundrum: Is 8875859 composite?
Answer: False
Conundrum: Is 7668671 a prime number?
Answer: True
Conundrum: Is 88614439 composite?
Answer: True
Conundrum: Is 415469 a composite number?
Answer: False
Conundrum: Is 5623 a prime number?
Answer: True
Conundrum: Is 11182471 prime?
Answer: True
Conundrum: Is 852799 prime?
Answer: True
Conundrum: Is 32541 a composite number?
Answer: True
Conundrum: Is 6671 composite?
Answer: True
Conundrum: Is 32705489053 prime?
Answer: True
Conundrum: Is 1736761 composite?
Answer: True
Conundrum: Is 6794539 a prime number?
Answer: True
Conundrum: Is 8784449467 composite?
Answer: False
Conundrum: Is 151763479 a prime number?
Answer: False
Conundrum: Is 23263571 composite?
Answer: False
Conundrum: Is 66197541757 a composite number?
Answer: True
Conundrum: Is 1066237 a prime number?
Answer: True
Conundrum: Is 7343187387 composite?
Answer: True
Conundrum: Is 200491547 composite?
Answer: False
Conundrum: Is 246930421 a composite number?
Answer: True
Conundrum: Is 10646686213 a prime number?
Answer: True
Conundrum: Is 157491293 a composite number?
Answer: False
Conundrum: Is 99271 prime?
Answer: False
Conundrum: Is 95269 composite?
Answer: True
Conundrum: Is 46133 a prime number?
Answer: True
Conundrum: Is 250543 a prime number?
Answer: True
Conundrum: Is 586220597 a composite number?
Answer: False
Conundrum: Is 29177611 a prime number?
Answer: True
Conundrum: Is 6833269 prime?
Answer: False
Conundrum: Is 613921117 a prime number?
Answer: False
Conundrum: Is 2936702926 prime?
Answer: False
Conundrum: Is 44418296213 a prime number?
Answer: True
Conundrum: Is 3803618513 composite?
Answer: Fal
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english
|
numbers: is prime
-----------------
Exercise: Is 216491129 a prime number?
Sol: True
Exercise: Is 3632288839 composite?
Sol: False
Exercise: Is 357338483 a composite number?
Sol: True
Exercise: Is 11867256449 prime?
Sol: True
Exercise: Is 560118539 a composite number?
Sol: False
Exercise: Is 42539129 a prime number?
Sol: False
Exercise: Is 47189 a prime number?
Sol: True
Exercise: Is 388951463 a composite number?
Sol: False
Exercise: Is 88681 a prime number?
Sol: True
Exercise: Is 16533577867 a composite number?
Sol: False
Exercise: Is 83084533433 composite?
Sol: True
Exercise: Is 2841959 prime?
Sol: False
Exercise: Is 145703 a composite number?
Sol: False
Exercise: Is 118364153521 a prime number?
Sol: False
Exercise: Is 1608037 prime?
Sol: True
Exercise: Is 48947 prime?
Sol: True
Exercise: Is 76771 composite?
Sol: False
Exercise: Is 2801691149 a prime number?
Sol: True
Exercise: Is 4422445513 a composite number?
Sol: True
Exercise: Is 1713593881 a composite number?
Sol: False
Exercise: Is 4293749 a prime number?
Sol: True
Exercise: Is 54179094511 composite?
Sol: False
Exercise: Is 5779 a composite number?
Sol: False
Exercise: Is 4831683 prime?
Sol: False
Exercise: Is 35863 a prime number?
Sol: True
Exercise: Is 7823063 a composite number?
Sol: True
Exercise: Is 59593 a composite number?
Sol: True
Exercise: Is 766973373 a composite number?
Sol: True
Exercise: Is 1527 composite?
Sol: True
Exercise: Is 368223 a prime number?
Sol: False
Exercise: Is 975901 prime?
Sol: True
Exercise: Is 343769 a prime number?
Sol: True
Exercise: Is 2509439371 a prime number?
Sol: True
Exercise: Is 93403217 prime?
Sol: False
Exercise: Is 61460591359 composite?
Sol: True
Exercise: Is 41383451 a prime number?
Sol: True
Exercise: Is 443359991 a prime number?
Sol: False
Exercise: Is 2437559 composite?
Sol: False
Exercise: Is 172729 composite?
Sol: True
Exercise: Is 17863 prime?
Sol: True
Exercise: Is 4990805 prime?
Sol: False
Exercise: Is 4515898 a composite number?
Sol: True
Exercise: Is 33
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english
|
numbers: is prime
-----------------
Task: Is 19446299 composite?
Reply: False
Task: Is 2375935799 a prime number?
Reply: True
Task: Is 397322423 composite?
Reply: False
Task: Is 782444387 a composite number?
Reply: True
Task: Is 13421703 composite?
Reply: True
Task: Is 508014503 prime?
Reply: True
Task: Is 1543 composite?
Reply: False
Task: Is 143743 a prime number?
Reply: True
Task: Is 74614109 composite?
Reply: True
Task: Is 1744423 a composite number?
Reply: False
Task: Is 8007337 composite?
Reply: True
Task: Is 12569021 a composite number?
Reply: False
Task: Is 105521 a composite number?
Reply: True
Task: Is 5885311 a prime number?
Reply: True
Task: Is 753473869 composite?
Reply: True
Task: Is 46050731 prime?
Reply: True
Task: Is 5639831627 a prime number?
Reply: True
Task: Is 409099 prime?
Reply: True
Task: Is 19116644713 a prime number?
Reply: True
Task: Is 631115 prime?
Reply: False
Task: Is 14143 a composite number?
Reply: False
Task: Is 212469 a prime number?
Reply: False
Task: Is 2019 composite?
Reply: True
Task: Is 9391865783 prime?
Reply: False
Task: Is 6428441737 composite?
Reply: False
Task: Is 3624719 composite?
Reply: True
Task: Is 21787 composite?
Reply: False
Task: Is 493871621 a composite number?
Reply: False
Task: Is 1657 a prime number?
Reply: True
Task: Is 84509 a composite number?
Reply: False
Task: Is 20367503 a prime number?
Reply: False
Task: Is 5008973371 prime?
Reply: False
Task: Is 223591 composite?
Reply: True
Task: Is 1540047809 a prime number?
Reply: False
Task: Is 5087 prime?
Reply: True
Task: Is 7451 composite?
Reply: False
Task: Is 73897283231 composite?
Reply: False
Task: Is 21587171 composite?
Reply: False
Task: Is 414359069 composite?
Reply: True
Task: Is 21089 composite?
Reply: False
Task: Is 15479 a composite number?
Reply: True
Task: Is 440641 a prime number?
Reply: True
Task: Is 383149537 a prime number?
Reply: False
Task: Is 3379351 a prime number?
Reply: True
Task: Is 80377 a prime number?
Reply: False
Task: Is 468306949 p
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english
|
probability: swr p level set
----------------------------
Let us solve: What is prob of picking 2 v when two letters picked without replacement from vvvvvsvvvvvvv?
Response: 11/13
Let us solve: Two letters picked without replacement from {c: 1, i: 3, x: 1, h: 1, k: 2, o: 5}. Give prob of picking 2 k.
Response: 1/78
Let us solve: Four letters picked without replacement from {c: 3, q: 1, n: 4, o: 3, y: 3, g: 2}. What is prob of picking 1 c, 2 n, and 1 g?
Response: 9/455
Let us solve: Calculate prob of picking 3 m and 1 p when four letters picked without replacement from mpppmm.
Response: 1/5
Let us solve: What is prob of picking 4 s when four letters picked without replacement from {s: 10}?
Response: 1
Let us solve: Four letters picked without replacement from ccccfcfffccxc. What is prob of picking 4 c?
Response: 14/143
Let us solve: What is prob of picking 1 b and 1 c when two letters picked without replacement from plcplbllllcc?
Response: 1/22
Let us solve: What is prob of picking 2 r and 2 n when four letters picked without replacement from rrrrnnnrnnrr?
Response: 14/33
Let us solve: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from {l: 4, f: 5, s: 1, b: 4, k: 2}.
Response: 3/140
Let us solve: Three letters picked without replacement from oorooraorn. What is prob of picking 1 r, 1 a, and 1 n?
Response: 1/40
Let us solve: Two letters picked without replacement from {f: 1, u: 1, m: 2}. What is prob of picking 1 m and 1 f?
Response: 1/3
Let us solve: What is prob of picking 1 j and 2 h when three letters picked without replacement from hjhhhjhhjh?
Response: 21/40
Let us solve: What is prob of picking 1 t and 2 m when three letters picked without replacement from mtqmtxqtqmqtttm?
Response: 36/455
Let us solve: Calculate prob of picking 3 a and 1 w when four letters picked without replacement from {a: 4, w: 14}.
Response: 14/765
Let us solve: Three letters picked without replacement from jccccjcccccjcccccj. Give prob of picking 1 j
|
english
|
probability: swr p level set
----------------------------
Task: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {t: 6, c: 1, b: 4, p: 4, j: 1, i: 2}.
Finding: 8/51
Task: What is prob of picking 3 d when three letters picked without replacement from {d: 10, l: 2}?
Finding: 6/11
Task: Two letters picked without replacement from xyyyyyyxy. Give prob of picking 2 x.
Finding: 1/36
Task: What is prob of picking 1 v and 1 z when two letters picked without replacement from {p: 1, z: 1, s: 1, o: 1, v: 4}?
Finding: 1/7
Task: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from tdtwdtetttdt.
Finding: 1/22
Task: What is prob of picking 1 k, 1 e, 1 x, and 1 h when four letters picked without replacement from kthxtde?
Finding: 1/35
Task: Calculate prob of picking 1 k and 3 h when four letters picked without replacement from khhhhhhhhhhkkkhkkh.
Finding: 22/51
Task: Two letters picked without replacement from {g: 1, o: 4, b: 2, p: 2, f: 2, c: 1}. What is prob of picking 1 c and 1 b?
Finding: 1/33
Task: What is prob of picking 1 q and 1 j when two letters picked without replacement from zjqnjznqzjzjzzzzjz?
Finding: 10/153
Task: Calculate prob of picking 1 p, 2 w, and 1 t when four letters picked without replacement from ttttwtpttttwwowto.
Finding: 3/119
Task: Two letters picked without replacement from {q: 2, w: 1, m: 1, f: 2, c: 1}. What is prob of picking 1 w and 1 c?
Finding: 1/21
Task: What is prob of picking 1 z, 1 q, and 2 d when four letters picked without replacement from dxqdqzdmczxx?
Finding: 4/165
Task: Two letters picked without replacement from gvggwvp. Give prob of picking 2 v.
Finding: 1/21
Task: Four letters picked without replacement from {r: 2, s: 5, a: 7}. What is prob of picking 1 r and 3 s?
Finding: 20/1001
Task: Two letters picked without replacement from xdddcxxx. Give prob of picking 1 x and 1 c.
Finding: 1/7
Task: Calculate prob of picking 1 y and 1 s when two letters picked without rep
|
english
|
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