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stringlengths 256
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numbers: is factor
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What if: Is 850 a multiple of 34?
Therefore: True
What if: Is 144 a factor of 21744?
Therefore: True
What if: Is 16063 a multiple of 14?
Therefore: False
What if: Is 52394 a multiple of 134?
Therefore: True
What if: Is 185 a factor of 765984175?
Therefore: True
What if: Is 311 a factor of 189699?
Therefore: False
What if: Is 17 a factor of 13537?
Therefore: False
What if: Is 165 a factor of 909315?
Therefore: True
What if: Does 10 divide 9077?
Therefore: False
What if: Is 13 a factor of 364?
Therefore: True
What if: Is 2050704521 a multiple of 29?
Therefore: True
What if: Is 928172299 a multiple of 231?
Therefore: False
What if: Is 145709902 a multiple of 5276?
Therefore: False
What if: Is 540817 a multiple of 11?
Therefore: False
What if: Does 1432 divide 308478055?
Therefore: False
What if: Is 10849982 a multiple of 1298?
Therefore: True
What if: Is 7279 a multiple of 30?
Therefore: False
What if: Is 251553825 a multiple of 700?
Therefore: False
What if: Does 217 divide 2459169?
Therefore: False
What if: Is 66 a factor of 3193?
Therefore: False
What if: Does 12 divide 7994?
Therefore: False
What if: Is 7 a factor of 14?
Therefore: True
What if: Is 6847 a multiple of 41?
Therefore: True
What if: Is 2735 a multiple of 34?
Therefore: False
What if: Is 6 a factor of 156?
Therefore: True
What if: Does 53 divide 23718561?
Therefore: False
What if: Is 133 a factor of 8312?
Therefore: False
What if: Is 368 a factor of 148304?
Therefore: True
What if: Is 58 a factor of 848?
Therefore: False
What if: Is 9275 a multiple of 25?
Therefore: True
What if: Is 11 a factor of 68541?
Therefore: True
What if: Is 51347254 a multiple of 170?
Therefore: False
What if: Does 22 divide 2056125522?
Therefore: True
What if: Is 78216 a multiple of 8?
Therefore: True
What if: Is 13 a factor of 4338025?
Therefore: False
What if: Does 2 divide 84805?
Therefore: False
What if: Does 60 divide 1051?
Therefore: False
What if: Does 138 divide 4986768?
Therefore:
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numbers: gcd
------------
Conundrum: What is the greatest common divisor of 9 and 1300833?
Workthrough: 9
Conundrum: What is the highest common factor of 19552 and 39?
Workthrough: 13
Conundrum: Calculate the greatest common factor of 99 and 149859.
Workthrough: 9
Conundrum: What is the greatest common factor of 2085813 and 329?
Workthrough: 47
Conundrum: What is the greatest common divisor of 53036932 and 3211?
Workthrough: 169
Conundrum: Calculate the greatest common factor of 494 and 3914.
Workthrough: 38
Conundrum: Calculate the greatest common factor of 8565 and 30.
Workthrough: 15
Conundrum: What is the greatest common factor of 798 and 1369900?
Workthrough: 266
Conundrum: Calculate the greatest common factor of 16 and 425628.
Workthrough: 4
Conundrum: What is the greatest common factor of 2433 and 27?
Workthrough: 3
Conundrum: What is the highest common divisor of 1519043 and 29859?
Workthrough: 269
Conundrum: What is the highest common divisor of 117 and 963?
Workthrough: 9
Conundrum: What is the highest common factor of 708 and 92?
Workthrough: 4
Conundrum: Calculate the highest common divisor of 19010 and 2570.
Workthrough: 10
Conundrum: What is the greatest common factor of 320 and 122480?
Workthrough: 80
Conundrum: What is the highest common factor of 3417 and 58254825?
Workthrough: 201
Conundrum: Calculate the greatest common divisor of 30 and 2710.
Workthrough: 10
Conundrum: What is the highest common factor of 270 and 5?
Workthrough: 5
Conundrum: What is the greatest common divisor of 48 and 19552?
Workthrough: 16
Conundrum: What is the greatest common factor of 27 and 639?
Workthrough: 9
Conundrum: What is the greatest common factor of 595143 and 623?
Workthrough: 89
Conundrum: Calculate the greatest common factor of 22264 and 736.
Workthrough: 184
Conundrum: Calculate the greatest common factor of 7978707 and 1826.
Workthrough: 913
Conundrum: What is the greatest common divisor of 22 and 926?
Workthrough: 2
Conundrum: Calculate the greatest common f
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numbers: is factor
------------------
Math Q: Is 496428 a multiple of 23?
Calculation: False
Math Q: Does 574 divide 2070418?
Calculation: True
Math Q: Is 708 a factor of 79805?
Calculation: False
Math Q: Does 14874 divide 5893956366?
Calculation: True
Math Q: Is 357398229 a multiple of 199?
Calculation: True
Math Q: Is 41 a factor of 26646966?
Calculation: True
Math Q: Is 17 a factor of 68292?
Calculation: False
Math Q: Is 60 a factor of 12613388?
Calculation: False
Math Q: Is 16 a factor of 39165?
Calculation: False
Math Q: Is 16705 a multiple of 13?
Calculation: True
Math Q: Is 51 a factor of 1409622?
Calculation: False
Math Q: Is 3 a factor of 267?
Calculation: True
Math Q: Does 5 divide 2370?
Calculation: True
Math Q: Is 7 a factor of 4679?
Calculation: False
Math Q: Does 17 divide 92116?
Calculation: False
Math Q: Is 332 a factor of 80045485?
Calculation: False
Math Q: Is 308444166 a multiple of 1151?
Calculation: False
Math Q: Is 59712 a multiple of 32?
Calculation: True
Math Q: Does 7 divide 765585117?
Calculation: False
Math Q: Does 15 divide 668?
Calculation: False
Math Q: Does 11 divide 8208?
Calculation: False
Math Q: Is 870891833 a multiple of 271?
Calculation: True
Math Q: Is 9 a factor of 312?
Calculation: False
Math Q: Is 25504 a multiple of 49?
Calculation: False
Math Q: Is 1587 a factor of 9380757?
Calculation: True
Math Q: Is 8727 a multiple of 126?
Calculation: False
Math Q: Does 31 divide 4091486?
Calculation: False
Math Q: Does 17 divide 5215?
Calculation: False
Math Q: Does 519 divide 180827682?
Calculation: False
Math Q: Is 15 a factor of 315?
Calculation: True
Math Q: Is 62 a factor of 804?
Calculation: False
Math Q: Does 118 divide 5753326?
Calculation: True
Math Q: Does 2 divide 116?
Calculation: True
Math Q: Is 303 a factor of 180259?
Calculation: False
Math Q: Does 11 divide 517?
Calculation: True
Math Q: Is 161 a factor of 4057522?
Calculation: True
Math Q: Is 22 a factor of 198?
Calculation: True
Math Q: Is 424664418 a multiple of 35?
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measurement: conversion
-----------------------
Problem Statement: How many centimeters are there in 3/25 of a meter?
→: 12
Problem Statement: Convert 29.43728 minutes to milliseconds.
→: 1766236.8
Problem Statement: What is thirty-seven halves of a litre in millilitres?
→: 18500
Problem Statement: What is 26/5 of a litre in millilitres?
→: 5200
Problem Statement: How many seconds are there in 1/10 of a day?
→: 8640
Problem Statement: What is twenty-one fifths of a millennium in years?
→: 4200
Problem Statement: What is six fifths of a litre in millilitres?
→: 1200
Problem Statement: What is 21/5 of a millennium in months?
→: 50400
Problem Statement: Convert 6.066148 minutes to nanoseconds.
→: 363968880000
Problem Statement: How many years are there in 12/25 of a century?
→: 48
Problem Statement: What is 3/32 of a gram in micrograms?
→: 93750
Problem Statement: What is 45/4 of a milligram in micrograms?
→: 11250
Problem Statement: How many minutes are there in fifty-five thirds of a day?
→: 26400
Problem Statement: How many meters are there in one quarter of a kilometer?
→: 250
Problem Statement: What is 97397.48 years in months?
→: 1168769.76
Problem Statement: How many millilitres are there in 1/4 of a litre?
→: 250
Problem Statement: What is 493.9456mm in nanometers?
→: 493945600
Problem Statement: Convert 117.2375ng to tonnes.
→: 0.0000000000001172375
Problem Statement: How many months are there in twenty-three sixths of a decade?
→: 460
Problem Statement: Convert 49.5832 kilometers to millimeters.
→: 49583200
Problem Statement: Convert 11.04391ms to nanoseconds.
→: 11043910
Problem Statement: How many years are there in 6.758153 centuries?
→: 675.8153
Problem Statement: How many nanoseconds are there in 3/5 of a microsecond?
→: 600
Problem Statement: Convert 4.443284 millilitres to litres.
→: 0.004443284
Problem Statement: How many years are there in fifty-seven fifths of a millennium?
→: 11400
Problem Statement: Convert 4.780907 micrograms to grams.
→: 0.00000
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numbers: is factor
------------------
Subquestion: Is 65 a factor of 3510?
Yields: True
Subquestion: Is 28 a factor of 216711824?
Yields: True
Subquestion: Is 15 a factor of 2054985?
Yields: True
Subquestion: Is 4624016916 a multiple of 31?
Yields: True
Subquestion: Does 11 divide 28405796?
Yields: False
Subquestion: Is 832924707 a multiple of 7?
Yields: False
Subquestion: Does 46 divide 280?
Yields: False
Subquestion: Is 155219808 a multiple of 24?
Yields: True
Subquestion: Is 1907 a factor of 22899555?
Yields: False
Subquestion: Does 535 divide 141848770?
Yields: False
Subquestion: Is 605 a factor of 2165857296?
Yields: False
Subquestion: Is 12 a factor of 1140?
Yields: True
Subquestion: Does 31 divide 6118005?
Yields: True
Subquestion: Is 1012 a multiple of 36?
Yields: False
Subquestion: Is 166104 a multiple of 24?
Yields: True
Subquestion: Does 19 divide 24073?
Yields: True
Subquestion: Is 53 a factor of 83087?
Yields: False
Subquestion: Is 601 a factor of 28395447?
Yields: True
Subquestion: Is 147633572 a multiple of 4?
Yields: True
Subquestion: Is 7468150 a multiple of 205?
Yields: True
Subquestion: Is 19230 a multiple of 34?
Yields: False
Subquestion: Does 34 divide 4270325?
Yields: False
Subquestion: Is 173740 a multiple of 73?
Yields: True
Subquestion: Does 322 divide 30667924?
Yields: True
Subquestion: Does 60 divide 8077?
Yields: False
Subquestion: Is 816 a multiple of 16?
Yields: True
Subquestion: Does 3 divide 768?
Yields: True
Subquestion: Does 4 divide 584?
Yields: True
Subquestion: Is 5584275 a multiple of 87?
Yields: False
Subquestion: Is 1172 a multiple of 51?
Yields: False
Subquestion: Is 30 a multiple of 13?
Yields: False
Subquestion: Is 1336 a multiple of 47?
Yields: False
Subquestion: Is 12434 a multiple of 28?
Yields: False
Subquestion: Does 24 divide 174984?
Yields: True
Subquestion: Is 5416220 a multiple of 364?
Yields: False
Subquestion: Is 11413 a multiple of 75?
Yields: False
Subquestion: Is 212 a factor of 46169?
Yields: False
Subquestio
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numbers: lcm
------------
Math Problem: What is the common denominator of 107/5506782 and 3/2845?
Interpretation: 27533910
Math Problem: Calculate the common denominator of -7/5542806 and 23/366.
Interpretation: 338111166
Math Problem: What is the common denominator of -173/1080 and -8/435?
Interpretation: 31320
Math Problem: Find the common denominator of 14/212535 and 16/189045.
Interpretation: 892859535
Math Problem: What is the least common multiple of 199670 and 5225510?
Interpretation: 214245910
Math Problem: What is the smallest common multiple of 8368665 and 131790?
Interpretation: 16737330
Math Problem: What is the lowest common multiple of 24 and 192?
Interpretation: 192
Math Problem: Calculate the lowest common multiple of 2265 and 78495.
Interpretation: 11852745
Math Problem: What is the smallest common multiple of 288528 and 4672?
Interpretation: 84250176
Math Problem: Calculate the common denominator of -97/2790 and -67/3225.
Interpretation: 599850
Math Problem: Calculate the least common multiple of 150793 and 116454.
Interpretation: 11761854
Math Problem: Find the common denominator of -83/4 and -50/229.
Interpretation: 916
Math Problem: Calculate the common denominator of 5/84 and -145/4548.
Interpretation: 31836
Math Problem: Find the common denominator of -53/148512 and 43/186592.
Interpretation: 7277088
Math Problem: Calculate the common denominator of -58/203721 and -2/20559.
Interpretation: 2240931
Math Problem: What is the common denominator of 11/273 and -2/2457?
Interpretation: 2457
Math Problem: Calculate the smallest common multiple of 52 and 117.
Interpretation: 468
Math Problem: Calculate the smallest common multiple of 5083 and 376142.
Interpretation: 376142
Math Problem: What is the common denominator of 6/11585 and -27/2317?
Interpretation: 11585
Math Problem: What is the lowest common multiple of 1482 and 6687031?
Interpretation: 40122186
Math Problem: Calculate the smallest common multiple of 13029086 and 1363509.
Interpretation: 11
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numbers: div remainder
----------------------
Example: What is the remainder when 42978 is divided by 20352?
Soln: 2274
Example: Calculate the remainder when 1518 is divided by 54.
Soln: 6
Example: What is the remainder when 267 is divided by 18?
Soln: 15
Example: What is the remainder when 3146 is divided by 529?
Soln: 501
Example: What is the remainder when 10378 is divided by 1036?
Soln: 18
Example: Calculate the remainder when 13353 is divided by 3332.
Soln: 25
Example: What is the remainder when 51540 is divided by 141?
Soln: 75
Example: Calculate the remainder when 29667 is divided by 138.
Soln: 135
Example: Calculate the remainder when 1174113 is divided by 195685.
Soln: 3
Example: Calculate the remainder when 16049 is divided by 1953.
Soln: 425
Example: What is the remainder when 64921442 is divided by 368?
Soln: 354
Example: Calculate the remainder when 5496948 is divided by 2748416.
Soln: 116
Example: Calculate the remainder when 142285 is divided by 8675.
Soln: 3485
Example: What is the remainder when 92515 is divided by 15345?
Soln: 445
Example: Calculate the remainder when 680 is divided by 75.
Soln: 5
Example: What is the remainder when 2865 is divided by 1316?
Soln: 233
Example: What is the remainder when 31191 is divided by 14?
Soln: 13
Example: Calculate the remainder when 5030 is divided by 317.
Soln: 275
Example: What is the remainder when 12615 is divided by 95?
Soln: 75
Example: What is the remainder when 163 is divided by 49?
Soln: 16
Example: Calculate the remainder when 7368 is divided by 29.
Soln: 2
Example: What is the remainder when 39970 is divided by 12?
Soln: 10
Example: Calculate the remainder when 15009 is divided by 3703.
Soln: 197
Example: Calculate the remainder when 45255 is divided by 1779.
Soln: 780
Example: What is the remainder when 379903 is divided by 469?
Soln: 13
Example: What is the remainder when 3945 is divided by 12?
Soln: 9
Example: Calculate the remainder when 24335 is divided by 5.
Soln: 0
Example: Calculate the rem
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numbers: gcd
------------
Subject: What is the greatest common factor of 492515 and 2055?
Compute: 685
Subject: What is the highest common divisor of 1726716 and 4366?
Compute: 74
Subject: What is the highest common factor of 3 and 242007?
Compute: 3
Subject: What is the greatest common factor of 62 and 9335402?
Compute: 62
Subject: Calculate the highest common factor of 92 and 336.
Compute: 4
Subject: Calculate the highest common factor of 136 and 51.
Compute: 17
Subject: What is the greatest common divisor of 169 and 18287?
Compute: 1
Subject: What is the highest common factor of 1080866650 and 200?
Compute: 50
Subject: What is the highest common divisor of 2245 and 60?
Compute: 5
Subject: Calculate the highest common divisor of 60390800 and 1328.
Compute: 1328
Subject: Calculate the highest common divisor of 107 and 6460981.
Compute: 107
Subject: Calculate the greatest common divisor of 8027 and 106881.
Compute: 23
Subject: What is the greatest common divisor of 1216 and 64?
Compute: 64
Subject: What is the greatest common divisor of 84 and 21?
Compute: 21
Subject: What is the highest common divisor of 15 and 384630?
Compute: 15
Subject: What is the highest common factor of 36 and 4?
Compute: 4
Subject: What is the highest common divisor of 10836 and 946?
Compute: 86
Subject: Calculate the highest common factor of 1360381 and 28589.
Compute: 253
Subject: Calculate the highest common factor of 237038 and 46.
Compute: 46
Subject: Calculate the greatest common factor of 341160 and 174120.
Compute: 120
Subject: What is the greatest common factor of 442 and 26?
Compute: 26
Subject: Calculate the greatest common factor of 234 and 91.
Compute: 13
Subject: Calculate the greatest common factor of 19827 and 18.
Compute: 9
Subject: What is the greatest common factor of 2155695 and 137?
Compute: 137
Subject: Calculate the highest common factor of 1786 and 456.
Compute: 38
Subject: Calculate the greatest common divisor of 525195 and 50985.
Compute: 495
Subject: Calculate the
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numbers: is factor
------------------
Let us solve: Is 13 a factor of 714592?
Calculation: False
Let us solve: Is 3591144 a multiple of 72?
Calculation: True
Let us solve: Is 133074 a multiple of 39?
Calculation: False
Let us solve: Is 843 a multiple of 20?
Calculation: False
Let us solve: Is 1041 a factor of 686145?
Calculation: False
Let us solve: Does 10 divide 422?
Calculation: False
Let us solve: Does 247 divide 811563?
Calculation: False
Let us solve: Is 1283 a factor of 265661066?
Calculation: False
Let us solve: Does 20 divide 30?
Calculation: False
Let us solve: Does 141 divide 84882?
Calculation: True
Let us solve: Is 14747152 a multiple of 112?
Calculation: True
Let us solve: Is 24 a factor of 85464?
Calculation: True
Let us solve: Is 78 a factor of 3198?
Calculation: True
Let us solve: Is 270 a factor of 51587?
Calculation: False
Let us solve: Does 127 divide 189530120?
Calculation: False
Let us solve: Is 271 a multiple of 3?
Calculation: False
Let us solve: Is 101020502 a multiple of 86?
Calculation: True
Let us solve: Does 196 divide 50275757?
Calculation: False
Let us solve: Does 446 divide 28267034?
Calculation: True
Let us solve: Is 130 a factor of 23419370?
Calculation: True
Let us solve: Is 7595 a multiple of 155?
Calculation: True
Let us solve: Is 335 a multiple of 26?
Calculation: False
Let us solve: Is 900 a multiple of 45?
Calculation: True
Let us solve: Is 10 a factor of 8072078?
Calculation: False
Let us solve: Does 138 divide 108882?
Calculation: True
Let us solve: Is 581 a multiple of 24?
Calculation: False
Let us solve: Is 21066288 a multiple of 114?
Calculation: True
Let us solve: Does 19 divide 398095890?
Calculation: False
Let us solve: Is 286 a multiple of 10?
Calculation: False
Let us solve: Is 49546 a multiple of 56?
Calculation: False
Let us solve: Is 1295 a multiple of 37?
Calculation: True
Let us solve: Does 41 divide 23763320?
Calculation: False
Let us solve: Is 11199127 a multiple of 22?
Calculation: False
Let us solve: Is 20 a
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numbers: gcd
------------
Inquiry: Calculate the highest common divisor of 384 and 78.
Response: 6
Inquiry: Calculate the greatest common divisor of 1528 and 702068632.
Response: 1528
Inquiry: Calculate the highest common divisor of 261459 and 2608947.
Response: 1881
Inquiry: Calculate the greatest common divisor of 378 and 210.
Response: 42
Inquiry: What is the greatest common factor of 2883 and 100161?
Response: 93
Inquiry: Calculate the highest common factor of 1144647 and 14.
Response: 7
Inquiry: Calculate the highest common factor of 62964 and 70659.
Response: 27
Inquiry: Calculate the highest common factor of 128 and 40.
Response: 8
Inquiry: Calculate the greatest common divisor of 16 and 1296.
Response: 16
Inquiry: What is the greatest common divisor of 109 and 237184?
Response: 109
Inquiry: Calculate the greatest common divisor of 735 and 150.
Response: 15
Inquiry: Calculate the highest common factor of 2592 and 187970868.
Response: 324
Inquiry: Calculate the highest common divisor of 75987425 and 75.
Response: 25
Inquiry: What is the greatest common factor of 1820 and 707?
Response: 7
Inquiry: Calculate the greatest common factor of 695786 and 32396.
Response: 182
Inquiry: Calculate the greatest common factor of 1007 and 689.
Response: 53
Inquiry: What is the greatest common divisor of 2255 and 55?
Response: 55
Inquiry: What is the highest common divisor of 81288 and 108?
Response: 36
Inquiry: What is the highest common divisor of 18 and 10?
Response: 2
Inquiry: What is the highest common divisor of 2714 and 46?
Response: 46
Inquiry: Calculate the greatest common divisor of 151576 and 20.
Response: 4
Inquiry: Calculate the highest common divisor of 87949 and 222.
Response: 37
Inquiry: What is the greatest common divisor of 476 and 3802948?
Response: 4
Inquiry: Calculate the greatest common divisor of 291 and 1649.
Response: 97
Inquiry: What is the greatest common divisor of 15345528 and 44?
Response: 44
Inquiry: What is the highest common factor of 30 and 1
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numbers: is prime
-----------------
Subject: Is 8896651 prime?
Soln: True
Subject: Is 111295507 a prime number?
Soln: True
Subject: Is 34144044287 a composite number?
Soln: False
Subject: Is 206373103 prime?
Soln: False
Subject: Is 8818163 prime?
Soln: True
Subject: Is 369015834761 a prime number?
Soln: False
Subject: Is 67679 a composite number?
Soln: False
Subject: Is 2327990018 composite?
Soln: True
Subject: Is 1701213587 composite?
Soln: False
Subject: Is 1845314791 prime?
Soln: False
Subject: Is 2246581 a composite number?
Soln: False
Subject: Is 81091 a composite number?
Soln: True
Subject: Is 42740467543 a prime number?
Soln: False
Subject: Is 1602420913 a composite number?
Soln: False
Subject: Is 12101123 composite?
Soln: False
Subject: Is 17049508141 a prime number?
Soln: True
Subject: Is 65101 a prime number?
Soln: True
Subject: Is 1203 a composite number?
Soln: True
Subject: Is 6851708593 prime?
Soln: True
Subject: Is 3026797 prime?
Soln: False
Subject: Is 33443 prime?
Soln: False
Subject: Is 351271 a composite number?
Soln: True
Subject: Is 99111653 prime?
Soln: False
Subject: Is 2655970847 a prime number?
Soln: True
Subject: Is 9209698874 prime?
Soln: False
Subject: Is 195775477 a prime number?
Soln: True
Subject: Is 924368323 composite?
Soln: True
Subject: Is 12412831 a prime number?
Soln: False
Subject: Is 817379 composite?
Soln: False
Subject: Is 1968677 prime?
Soln: False
Subject: Is 21259 composite?
Soln: True
Subject: Is 71622321797 a prime number?
Soln: False
Subject: Is 3444289 prime?
Soln: True
Subject: Is 72749 prime?
Soln: False
Subject: Is 49783 a composite number?
Soln: False
Subject: Is 41552525533 a prime number?
Soln: True
Subject: Is 38685301 prime?
Soln: False
Subject: Is 140071549 a prime number?
Soln: True
Subject: Is 20569 composite?
Soln: True
Subject: Is 364508281 prime?
Soln: False
Subject: Is 63103373 prime?
Soln: False
Subject: Is 24990751 prime?
Soln: True
Subject: Is 69883 composite?
Soln: True
Subject: Is 78151 prime?
Soln:
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measurement: conversion
-----------------------
Qn: How many nanograms are there in 588415.6mg?
Solution: 588415600000
Qn: How many millilitres are there in 17/4 of a litre?
Solution: 4250
Qn: What is three tenths of a century in months?
Solution: 360
Qn: What is 51/4 of a year in months?
Solution: 153
Qn: What is 60.45951 litres in millilitres?
Solution: 60459.51
Qn: How many seconds are there in 7/6 of a hour?
Solution: 4200
Qn: What is seven sixths of a week in hours?
Solution: 196
Qn: What is ninety-three quarters of a year in months?
Solution: 279
Qn: How many meters are there in 320307.4 nanometers?
Solution: 0.0003203074
Qn: Convert 41834.71 millilitres to litres.
Solution: 41.83471
Qn: How many micrometers are there in 16941.86 centimeters?
Solution: 169418600
Qn: Convert 7.144977 milligrams to nanograms.
Solution: 7144977
Qn: How many milligrams are there in 3/40 of a gram?
Solution: 75
Qn: What is 28/3 of a century in months?
Solution: 11200
Qn: How many millimeters are there in 35652.55nm?
Solution: 0.03565255
Qn: How many months are there in 25/2 of a decade?
Solution: 1500
Qn: What is 11/4 of a milligram in micrograms?
Solution: 2750
Qn: How many days are there in 32/7 of a week?
Solution: 32
Qn: Convert 978398.9 millimeters to micrometers.
Solution: 978398900
Qn: How many milliseconds are there in three eighths of a minute?
Solution: 22500
Qn: How many millilitres are there in fifty-four fifths of a litre?
Solution: 10800
Qn: What is 11/4 of a milligram in micrograms?
Solution: 2750
Qn: Convert 37.70154 millennia to decades.
Solution: 3770.154
Qn: Convert 16.755147 months to years.
Solution: 1.39626225
Qn: What is 977.3859 micrograms in nanograms?
Solution: 977385.9
Qn: How many months are there in fifty-one fifths of a decade?
Solution: 1224
Qn: Convert 14.10916 milligrams to micrograms.
Solution: 14109.16
Qn: Convert 2.115716m to centimeters.
Solution: 211.5716
Qn: How many months are there in 25/4 of a year?
Solution: 75
Qn: What is 273.3335t in mil
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english
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numbers: is factor
------------------
Let us solve: Is 201213650 a multiple of 16?
Math A: False
Let us solve: Is 95310400 a multiple of 296?
Math A: False
Let us solve: Does 123 divide 21171?
Math A: False
Let us solve: Is 13 a factor of 1001?
Math A: True
Let us solve: Does 31 divide 98611?
Math A: True
Let us solve: Is 89 a factor of 285774204?
Math A: False
Let us solve: Does 10 divide 75420480?
Math A: True
Let us solve: Does 104 divide 269568?
Math A: True
Let us solve: Is 8313213 a multiple of 78?
Math A: False
Let us solve: Is 24 a factor of 5363880?
Math A: True
Let us solve: Is 1795 a factor of 1791744051?
Math A: False
Let us solve: Does 14 divide 121926?
Math A: True
Let us solve: Is 8 a factor of 501?
Math A: False
Let us solve: Is 16 a factor of 514880?
Math A: True
Let us solve: Does 23 divide 4441035?
Math A: False
Let us solve: Does 41 divide 164?
Math A: True
Let us solve: Is 5093688 a multiple of 813?
Math A: False
Let us solve: Does 881 divide 80975325?
Math A: False
Let us solve: Does 13 divide 23622?
Math A: False
Let us solve: Is 29286387 a multiple of 39?
Math A: True
Let us solve: Does 24 divide 33351323?
Math A: False
Let us solve: Is 187158950 a multiple of 187?
Math A: True
Let us solve: Does 6 divide 248?
Math A: False
Let us solve: Is 2337 a factor of 63099000?
Math A: True
Let us solve: Is 33 a factor of 448845?
Math A: False
Let us solve: Does 12 divide 300?
Math A: True
Let us solve: Does 2417 divide 685282487?
Math A: False
Let us solve: Does 285 divide 145129?
Math A: False
Let us solve: Does 10 divide 15610?
Math A: True
Let us solve: Is 835270 a multiple of 23?
Math A: False
Let us solve: Does 8 divide 633?
Math A: False
Let us solve: Does 3 divide 3861812?
Math A: False
Let us solve: Is 6 a factor of 38326?
Math A: False
Let us solve: Does 97 divide 19059342?
Math A: False
Let us solve: Is 208307 a multiple of 424?
Math A: False
Let us solve: Is 15635836 a multiple of 3?
Math A: False
Let us solve: Is 92185920 a multiple of 320?
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english
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numbers: is prime
-----------------
Case: Is 2395061 a prime number?
Clarification: False
Case: Is 11824411 prime?
Clarification: False
Case: Is 22395481 prime?
Clarification: True
Case: Is 15333797 a composite number?
Clarification: True
Case: Is 7753 a composite number?
Clarification: False
Case: Is 9601 a prime number?
Clarification: True
Case: Is 1546 prime?
Clarification: False
Case: Is 28155242317 composite?
Clarification: False
Case: Is 14566 a prime number?
Clarification: False
Case: Is 39891962039 composite?
Clarification: False
Case: Is 1631 prime?
Clarification: False
Case: Is 281501335 prime?
Clarification: False
Case: Is 3093317 composite?
Clarification: False
Case: Is 61959708919 composite?
Clarification: False
Case: Is 165311 a prime number?
Clarification: True
Case: Is 4651003243 composite?
Clarification: False
Case: Is 5322323 a composite number?
Clarification: False
Case: Is 25415547 a composite number?
Clarification: True
Case: Is 249818851 composite?
Clarification: True
Case: Is 857052281 prime?
Clarification: True
Case: Is 3217265209 composite?
Clarification: False
Case: Is 334603 a prime number?
Clarification: True
Case: Is 10165352599 composite?
Clarification: False
Case: Is 466853 a prime number?
Clarification: True
Case: Is 96748885 prime?
Clarification: False
Case: Is 55307 a composite number?
Clarification: True
Case: Is 598409 a composite number?
Clarification: True
Case: Is 9658631 composite?
Clarification: True
Case: Is 276461 prime?
Clarification: True
Case: Is 56160913 a prime number?
Clarification: True
Case: Is 29537 composite?
Clarification: False
Case: Is 43862029 prime?
Clarification: True
Case: Is 854591393 prime?
Clarification: False
Case: Is 1695120233 a prime number?
Clarification: True
Case: Is 111278749 a prime number?
Clarification: True
Case: Is 22109 composite?
Clarification: False
Case: Is 5857177 prime?
Clarification: True
Case: Is 650803 composite?
Clarification: True
Case: Is 8462527909 composite?
Clarification: True
|
english
|
numbers: div remainder
----------------------
Task: Calculate the remainder when 15348945 is divided by 126.
Interpretation: 3
Task: What is the remainder when 1033333 is divided by 17816?
Interpretation: 5
Task: What is the remainder when 20601 is divided by 492?
Interpretation: 429
Task: What is the remainder when 257534 is divided by 25?
Interpretation: 9
Task: Calculate the remainder when 190886 is divided by 5016.
Interpretation: 278
Task: Calculate the remainder when 1842 is divided by 19.
Interpretation: 18
Task: What is the remainder when 3087 is divided by 440?
Interpretation: 7
Task: Calculate the remainder when 16801 is divided by 673.
Interpretation: 649
Task: What is the remainder when 2552411 is divided by 2836?
Interpretation: 11
Task: What is the remainder when 88712 is divided by 368?
Interpretation: 24
Task: What is the remainder when 859 is divided by 281?
Interpretation: 16
Task: What is the remainder when 278808 is divided by 3066?
Interpretation: 2868
Task: Calculate the remainder when 4295728 is divided by 1073931.
Interpretation: 4
Task: Calculate the remainder when 18472 is divided by 623.
Interpretation: 405
Task: Calculate the remainder when 780 is divided by 46.
Interpretation: 44
Task: What is the remainder when 43840413 is divided by 14?
Interpretation: 1
Task: What is the remainder when 57651 is divided by 56294?
Interpretation: 1357
Task: What is the remainder when 38108 is divided by 12685?
Interpretation: 53
Task: What is the remainder when 709 is divided by 26?
Interpretation: 7
Task: What is the remainder when 117 is divided by 22?
Interpretation: 7
Task: What is the remainder when 50300 is divided by 24?
Interpretation: 20
Task: What is the remainder when 49 is divided by 28?
Interpretation: 21
Task: What is the remainder when 3389 is divided by 103?
Interpretation: 93
Task: What is the remainder when 36209447 is divided by 1179?
Interpretation: 1178
Task: Calculate the remainder when 2901 is divided by 155.
Interpretation: 111
T
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english
|
arithmetic: nearest integer root
--------------------------------
Q: What is 2865476362 to the power of 1/2, to the nearest integer?
Response: 53530
Q: What is the square root of 19148377 to the nearest integer?
Response: 4376
Q: What is the cube root of 18955455 to the nearest integer?
Response: 267
Q: What is the sixth root of 773687 to the nearest integer?
Response: 10
Q: What is 1845130 to the power of 1/9, to the nearest integer?
Response: 5
Q: What is 8123 to the power of 1/2, to the nearest integer?
Response: 90
Q: What is the third root of 1851 to the nearest integer?
Response: 12
Q: What is 61218 to the power of 1/10, to the nearest integer?
Response: 3
Q: What is the square root of 5609 to the nearest integer?
Response: 75
Q: What is the fourth root of 839 to the nearest integer?
Response: 5
Q: What is 679110 to the power of 1/10, to the nearest integer?
Response: 4
Q: What is 169449 to the power of 1/2, to the nearest integer?
Response: 412
Q: What is the third root of 16962 to the nearest integer?
Response: 26
Q: What is the fourth root of 7402 to the nearest integer?
Response: 9
Q: What is 21291 to the power of 1/8, to the nearest integer?
Response: 3
Q: What is 399591 to the power of 1/2, to the nearest integer?
Response: 632
Q: What is the cube root of 537382 to the nearest integer?
Response: 81
Q: What is the seventh root of 1198683 to the nearest integer?
Response: 7
Q: What is the square root of 2753008 to the nearest integer?
Response: 1659
Q: What is the square root of 27821 to the nearest integer?
Response: 167
Q: What is the eighth root of 2450403837 to the nearest integer?
Response: 15
Q: What is the eighth root of 1783593 to the nearest integer?
Response: 6
Q: What is the fourth root of 38837220 to the nearest integer?
Response: 79
Q: What is 153461 to the power of 1/8, to the nearest integer?
Response: 4
Q: What is the seventh root of 96085 to the nearest integer?
Response: 5
Q: What is 12612369 to the power of 1/8, to the nearest integer?
R
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english
|
numbers: div remainder
----------------------
Problem Statement: Calculate the remainder when 4595 is divided by 1056.
A.: 371
Problem Statement: Calculate the remainder when 1557 is divided by 511.
A.: 24
Problem Statement: Calculate the remainder when 9856 is divided by 38.
A.: 14
Problem Statement: Calculate the remainder when 989859 is divided by 598.
A.: 169
Problem Statement: Calculate the remainder when 304678 is divided by 1110.
A.: 538
Problem Statement: What is the remainder when 5778442 is divided by 1914?
A.: 76
Problem Statement: What is the remainder when 52358 is divided by 1374?
A.: 146
Problem Statement: What is the remainder when 239869907 is divided by 203?
A.: 32
Problem Statement: Calculate the remainder when 45899 is divided by 806.
A.: 763
Problem Statement: Calculate the remainder when 224768 is divided by 26.
A.: 24
Problem Statement: What is the remainder when 40153 is divided by 3646?
A.: 47
Problem Statement: What is the remainder when 36083 is divided by 249?
A.: 227
Problem Statement: Calculate the remainder when 2575 is divided by 28.
A.: 27
Problem Statement: What is the remainder when 37998 is divided by 1?
A.: 0
Problem Statement: Calculate the remainder when 38517 is divided by 1134.
A.: 1095
Problem Statement: What is the remainder when 320133 is divided by 106464?
A.: 741
Problem Statement: What is the remainder when 787370 is divided by 393654?
A.: 62
Problem Statement: Calculate the remainder when 2474 is divided by 545.
A.: 294
Problem Statement: What is the remainder when 36 is divided by 15?
A.: 6
Problem Statement: What is the remainder when 43866 is divided by 3980?
A.: 86
Problem Statement: Calculate the remainder when 1108881 is divided by 10173.
A.: 24
Problem Statement: Calculate the remainder when 32249 is divided by 32211.
A.: 38
Problem Statement: Calculate the remainder when 3322 is divided by 550.
A.: 22
Problem Statement: What is the remainder when 61292 is divided by 28696?
A.: 3900
Problem Statement: What is th
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english
|
numbers: is factor
------------------
Ask: Does 8 divide 14435872?
Resolution: True
Ask: Is 200 a multiple of 13?
Resolution: False
Ask: Is 67232 a multiple of 191?
Resolution: True
Ask: Does 38 divide 2508?
Resolution: True
Ask: Does 3 divide 128576?
Resolution: False
Ask: Is 14 a factor of 1505?
Resolution: False
Ask: Is 36 a factor of 95508?
Resolution: True
Ask: Does 43 divide 38958?
Resolution: True
Ask: Is 41 a factor of 6563?
Resolution: False
Ask: Does 111 divide 1056831?
Resolution: True
Ask: Does 135 divide 218970?
Resolution: True
Ask: Is 26338 a multiple of 16?
Resolution: False
Ask: Is 48889 a multiple of 40?
Resolution: False
Ask: Is 598470673 a multiple of 3?
Resolution: False
Ask: Is 1901 a factor of 26348121?
Resolution: False
Ask: Is 26116089 a multiple of 17?
Resolution: False
Ask: Is 630 a multiple of 63?
Resolution: True
Ask: Does 83 divide 2963555?
Resolution: False
Ask: Is 15 a factor of 40125?
Resolution: True
Ask: Is 3727 a multiple of 47?
Resolution: False
Ask: Does 8 divide 152020254?
Resolution: False
Ask: Is 4 a factor of 183180?
Resolution: True
Ask: Is 162 a factor of 4553567135?
Resolution: False
Ask: Is 4160 a multiple of 104?
Resolution: True
Ask: Is 13 a factor of 3504163?
Resolution: True
Ask: Is 6919 a multiple of 209?
Resolution: False
Ask: Is 16175 a multiple of 143?
Resolution: False
Ask: Is 20600 a multiple of 5?
Resolution: True
Ask: Is 2136 a factor of 188504236?
Resolution: False
Ask: Is 28 a factor of 1624?
Resolution: True
Ask: Is 65 a factor of 1365?
Resolution: True
Ask: Is 215343640 a multiple of 776?
Resolution: False
Ask: Is 219128911 a multiple of 37?
Resolution: True
Ask: Does 17 divide 135156377?
Resolution: False
Ask: Is 210413315 a multiple of 161?
Resolution: True
Ask: Is 896348963 a multiple of 4725?
Resolution: False
Ask: Does 10 divide 5740?
Resolution: True
Ask: Does 31 divide 16308418?
Resolution: True
Ask: Is 36725 a multiple of 12?
Resolution: False
Ask: Is 5653732 a multiple of 28?
Resolution: True
Ask
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english
|
numbers: place value
--------------------
Math Q: What is the hundred thousands digit of 67158272?
Explanation: 1
Math Q: What is the tens digit of 181?
Explanation: 8
Math Q: What is the millions digit of 3031442?
Explanation: 3
Math Q: What is the hundreds digit of 1674537001?
Explanation: 0
Math Q: What is the thousands digit of 71935?
Explanation: 1
Math Q: What is the tens digit of 943?
Explanation: 4
Math Q: What is the units digit of 226158?
Explanation: 8
Math Q: What is the tens digit of 17120477?
Explanation: 7
Math Q: What is the thousands digit of 4771?
Explanation: 4
Math Q: What is the hundreds digit of 1403?
Explanation: 4
Math Q: What is the units digit of 105463?
Explanation: 3
Math Q: What is the tens digit of 103999?
Explanation: 9
Math Q: What is the hundreds digit of 24219?
Explanation: 2
Math Q: What is the millions digit of 10873865?
Explanation: 0
Math Q: What is the ten millions digit of 10119038?
Explanation: 1
Math Q: What is the ten thousands digit of 168325?
Explanation: 6
Math Q: What is the tens digit of 2756144757?
Explanation: 5
Math Q: What is the thousands digit of 112290?
Explanation: 2
Math Q: What is the thousands digit of 16297?
Explanation: 6
Math Q: What is the units digit of 118?
Explanation: 8
Math Q: What is the ten thousands digit of 47854?
Explanation: 4
Math Q: What is the hundred thousands digit of 471349?
Explanation: 4
Math Q: What is the units digit of 41921?
Explanation: 1
Math Q: What is the ten millions digit of 1930712717?
Explanation: 3
Math Q: What is the tens digit of 199220?
Explanation: 2
Math Q: What is the tens digit of 13829?
Explanation: 2
Math Q: What is the billions digit of 2430618282?
Explanation: 2
Math Q: What is the tens digit of 1192?
Explanation: 9
Math Q: What is the thousands digit of 33867?
Explanation: 3
Math Q: What is the ten thousands digit of 12903?
Explanation: 1
Math Q: What is the units digit of 272911?
Explanation: 1
Math Q: What is the tens digit of 560329827?
Explanation: 2
Math Q
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english
|
numbers: div remainder
----------------------
Example: Calculate the remainder when 113 is divided by 108.
Outcome: 5
Example: Calculate the remainder when 31723572 is divided by 299.
Outcome: 270
Example: Calculate the remainder when 812 is divided by 121.
Outcome: 86
Example: What is the remainder when 6732 is divided by 133?
Outcome: 82
Example: Calculate the remainder when 321978 is divided by 320973.
Outcome: 1005
Example: Calculate the remainder when 201 is divided by 37.
Outcome: 16
Example: What is the remainder when 1344 is divided by 112?
Outcome: 0
Example: Calculate the remainder when 88662472 is divided by 1690.
Outcome: 2
Example: What is the remainder when 432 is divided by 2?
Outcome: 0
Example: What is the remainder when 5201 is divided by 5056?
Outcome: 145
Example: What is the remainder when 119 is divided by 26?
Outcome: 15
Example: What is the remainder when 1160 is divided by 176?
Outcome: 104
Example: Calculate the remainder when 106 is divided by 32.
Outcome: 10
Example: Calculate the remainder when 190135 is divided by 396.
Outcome: 55
Example: What is the remainder when 6467404 is divided by 450?
Outcome: 4
Example: Calculate the remainder when 20571 is divided by 127.
Outcome: 124
Example: What is the remainder when 47253 is divided by 153?
Outcome: 129
Example: Calculate the remainder when 281 is divided by 73.
Outcome: 62
Example: What is the remainder when 3144 is divided by 53?
Outcome: 17
Example: Calculate the remainder when 719 is divided by 231.
Outcome: 26
Example: What is the remainder when 4780503 is divided by 154209?
Outcome: 24
Example: Calculate the remainder when 3613 is divided by 16.
Outcome: 13
Example: What is the remainder when 5402 is divided by 4763?
Outcome: 639
Example: What is the remainder when 237 is divided by 68?
Outcome: 33
Example: What is the remainder when 4912267 is divided by 55?
Outcome: 52
Example: Calculate the remainder when 1788284 is divided by 1189.
Outcome: 28
Example: Calculate the remainder whe
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english
|
probability: swr p sequence
---------------------------
Prompt: Four letters picked without replacement from {r: 10, x: 5, b: 4}. What is prob of sequence brbr?
Key: 15/1292
Prompt: Two letters picked without replacement from {o: 2, e: 1, q: 2, u: 3, n: 3, k: 3}. What is prob of sequence uq?
Key: 3/91
Prompt: Two letters picked without replacement from rbc. Give prob of sequence rc.
Key: 1/6
Prompt: Three letters picked without replacement from wfrlg. What is prob of sequence lrw?
Key: 1/60
Prompt: Three letters picked without replacement from {w: 3, g: 1, c: 1, d: 1, n: 2, l: 4}. Give prob of sequence ncg.
Key: 1/660
Prompt: What is prob of sequence cl when two letters picked without replacement from {c: 5, x: 1, l: 3}?
Key: 5/24
Prompt: Two letters picked without replacement from vyyvb. What is prob of sequence by?
Key: 1/10
Prompt: Two letters picked without replacement from qlqqxqqqqlqqqqqxqqlq. What is prob of sequence qq?
Key: 21/38
Prompt: What is prob of sequence ffrr when four letters picked without replacement from rrrrrrerrrfrfeefre?
Key: 11/1224
Prompt: Two letters picked without replacement from nnpeenneeengvpneppnv. Give prob of sequence pv.
Key: 2/95
Prompt: Two letters picked without replacement from ykkyk. What is prob of sequence yk?
Key: 3/10
Prompt: Three letters picked without replacement from {f: 9}. Give prob of sequence fff.
Key: 1
Prompt: Two letters picked without replacement from {x: 1, p: 2, b: 1, g: 1, r: 2}. What is prob of sequence br?
Key: 1/21
Prompt: Three letters picked without replacement from {e: 5, i: 4, x: 5, f: 2, p: 1, w: 3}. What is prob of sequence wee?
Key: 1/114
Prompt: What is prob of sequence vwuy when four letters picked without replacement from ywuywwvwggwvwgvu?
Key: 3/1820
Prompt: Three letters picked without replacement from {x: 2, b: 3, d: 5, h: 3}. Give prob of sequence hxx.
Key: 1/286
Prompt: Three letters picked without replacement from eeceeccxzcet. Give prob of sequence tcz.
Key: 1/330
Prompt: What is prob of
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english
|
numbers: is factor
------------------
Case: Does 12 divide 2880?
Calculation: True
Case: Does 68 divide 60520?
Calculation: True
Case: Is 730 a factor of 34342850?
Calculation: True
Case: Is 26395320 a multiple of 7?
Calculation: True
Case: Is 897 a multiple of 36?
Calculation: False
Case: Does 3 divide 149?
Calculation: False
Case: Is 153 a factor of 1093368527?
Calculation: False
Case: Is 5 a factor of 45?
Calculation: True
Case: Is 507 a factor of 984356061?
Calculation: False
Case: Is 2549843 a multiple of 2?
Calculation: False
Case: Does 35 divide 280?
Calculation: True
Case: Is 270 a multiple of 15?
Calculation: True
Case: Does 3 divide 78?
Calculation: True
Case: Does 9 divide 2530179048?
Calculation: False
Case: Is 38 a multiple of 2?
Calculation: True
Case: Is 281934045 a multiple of 98?
Calculation: False
Case: Is 351958 a multiple of 713?
Calculation: False
Case: Is 5 a factor of 506352220?
Calculation: True
Case: Does 14 divide 135543912?
Calculation: True
Case: Is 224 a multiple of 32?
Calculation: True
Case: Is 295765868 a multiple of 278?
Calculation: True
Case: Does 21 divide 6359203?
Calculation: False
Case: Is 1202 a multiple of 9?
Calculation: False
Case: Does 22 divide 849522?
Calculation: False
Case: Is 2380 a multiple of 100?
Calculation: False
Case: Is 1428 a multiple of 84?
Calculation: True
Case: Is 71 a factor of 666093?
Calculation: False
Case: Is 7 a factor of 342?
Calculation: False
Case: Is 11 a factor of 856?
Calculation: False
Case: Is 463965931 a multiple of 736?
Calculation: False
Case: Does 564 divide 8530924?
Calculation: False
Case: Does 289 divide 123093481?
Calculation: True
Case: Is 10 a factor of 100170?
Calculation: True
Case: Is 39981181 a multiple of 113?
Calculation: False
Case: Is 12329007 a multiple of 53?
Calculation: False
Case: Is 75838815 a multiple of 1185?
Calculation: True
Case: Is 90 a factor of 10890?
Calculation: True
Case: Is 16 a factor of 558809?
Calculation: False
Case: Is 59 a factor of 1427?
Calculation:
|
english
|
numbers: place value
--------------------
Task: What is the ten thousands digit of 21922?
Math A: 2
Task: What is the hundreds digit of 485170886?
Math A: 8
Task: What is the hundreds digit of 1086403?
Math A: 4
Task: What is the tens digit of 17139?
Math A: 3
Task: What is the tens digit of 9854220?
Math A: 2
Task: What is the units digit of 996360?
Math A: 0
Task: What is the ten thousands digit of 345016?
Math A: 4
Task: What is the hundreds digit of 51559?
Math A: 5
Task: What is the tens digit of 24909?
Math A: 0
Task: What is the tens digit of 40037?
Math A: 3
Task: What is the units digit of 5663?
Math A: 3
Task: What is the hundreds digit of 20495?
Math A: 4
Task: What is the units digit of 10308?
Math A: 8
Task: What is the units digit of 59938?
Math A: 8
Task: What is the units digit of 9344478?
Math A: 8
Task: What is the ten thousands digit of 545829151?
Math A: 2
Task: What is the thousands digit of 4580?
Math A: 4
Task: What is the tens digit of 4149?
Math A: 4
Task: What is the hundred millions digit of 703099419?
Math A: 7
Task: What is the thousands digit of 10588097?
Math A: 8
Task: What is the hundreds digit of 30683785?
Math A: 7
Task: What is the tens digit of 33653534?
Math A: 3
Task: What is the tens digit of 26636?
Math A: 3
Task: What is the ten thousands digit of 139309145?
Math A: 0
Task: What is the units digit of 169?
Math A: 9
Task: What is the hundred millions digit of 1045659406?
Math A: 0
Task: What is the hundred millions digit of 1032985310?
Math A: 0
Task: What is the units digit of 32572?
Math A: 2
Task: What is the ten thousands digit of 110961?
Math A: 1
Task: What is the ten thousands digit of 14285?
Math A: 1
Task: What is the tens digit of 296143758?
Math A: 5
Task: What is the tens digit of 521?
Math A: 2
Task: What is the tens digit of 844?
Math A: 4
Task: What is the thousands digit of 2294904?
Math A: 4
Task: What is the hundreds digit of 6913?
Math A: 9
Task: What is the thousands digit of 5476864?
Math A: 6
Task: What
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english
|
probability: swr p sequence
---------------------------
Task: Three letters picked without replacement from pzpfzzzfzppfpppf. What is prob of sequence ffp?
Solution: 1/40
Task: Two letters picked without replacement from ifirrf. What is prob of sequence ri?
Solution: 2/15
Task: Three letters picked without replacement from oloooalflllll. Give prob of sequence loo.
Solution: 7/143
Task: What is prob of sequence lsl when three letters picked without replacement from {s: 5, l: 14}?
Solution: 455/2907
Task: What is prob of sequence qa when two letters picked without replacement from zzqqzzaa?
Solution: 1/14
Task: Calculate prob of sequence nk when two letters picked without replacement from {n: 3, k: 8}.
Solution: 12/55
Task: Calculate prob of sequence dbbd when four letters picked without replacement from ddbddddbbdd.
Solution: 7/165
Task: Two letters picked without replacement from {k: 2, y: 5, m: 6}. What is prob of sequence yy?
Solution: 5/39
Task: Four letters picked without replacement from {i: 1, w: 5, y: 3, p: 3}. What is prob of sequence wpww?
Solution: 1/66
Task: What is prob of sequence gag when three letters picked without replacement from dgddggdggaggg?
Solution: 14/429
Task: What is prob of sequence mhhc when four letters picked without replacement from {h: 2, m: 8, c: 1, l: 4, d: 1}?
Solution: 1/2730
Task: Three letters picked without replacement from xxxxzzxxxzxzxzzz. Give prob of sequence xzx.
Solution: 3/20
Task: Two letters picked without replacement from xggkmxgggxgkkoxog. What is prob of sequence gg?
Solution: 21/136
Task: What is prob of sequence slh when three letters picked without replacement from oljoshsmsom?
Solution: 1/330
Task: Three letters picked without replacement from bbbbbbbhbhbbb. Give prob of sequence bbb.
Solution: 15/26
Task: Four letters picked without replacement from lzllslbbllbbblbll. What is prob of sequence lslb?
Solution: 9/1190
Task: Two letters picked without replacement from ttvkkptptvfftfv. What is prob of sequence tk?
S
|
english
|
numbers: is prime
-----------------
Test item: Is 5997336613 prime?
Gives: True
Test item: Is 611827979 a composite number?
Gives: True
Test item: Is 31193131 a prime number?
Gives: True
Test item: Is 7625939 a composite number?
Gives: False
Test item: Is 58710026821 prime?
Gives: True
Test item: Is 6805 composite?
Gives: True
Test item: Is 19123213 prime?
Gives: True
Test item: Is 148227 prime?
Gives: False
Test item: Is 10889887 prime?
Gives: False
Test item: Is 769328663 prime?
Gives: True
Test item: Is 5446993913 a prime number?
Gives: True
Test item: Is 361535 prime?
Gives: False
Test item: Is 34777871 composite?
Gives: False
Test item: Is 18027629 a prime number?
Gives: False
Test item: Is 22141 a prime number?
Gives: False
Test item: Is 23554683517 prime?
Gives: True
Test item: Is 35671 composite?
Gives: False
Test item: Is 43350471701 a composite number?
Gives: False
Test item: Is 562231 a composite number?
Gives: False
Test item: Is 176944685 composite?
Gives: True
Test item: Is 10789635427 composite?
Gives: True
Test item: Is 3226931 composite?
Gives: True
Test item: Is 42197525485 prime?
Gives: False
Test item: Is 38102 prime?
Gives: False
Test item: Is 1761797371 composite?
Gives: False
Test item: Is 553 a prime number?
Gives: False
Test item: Is 16733111 a composite number?
Gives: False
Test item: Is 296797 a prime number?
Gives: True
Test item: Is 347 a prime number?
Gives: True
Test item: Is 15945887 composite?
Gives: True
Test item: Is 10067061967 a composite number?
Gives: False
Test item: Is 25163 prime?
Gives: True
Test item: Is 983286197 a prime number?
Gives: False
Test item: Is 121417921 a composite number?
Gives: False
Test item: Is 70469 a composite number?
Gives: True
Test item: Is 35023 prime?
Gives: True
Test item: Is 287753 composite?
Gives: True
Test item: Is 9990923 a composite number?
Gives: True
Test item: Is 147263929 prime?
Gives: True
Test item: Is 54659 composite?
Gives: True
Test item: Is 36349259 a composite number?
Gives: False
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numbers: is prime
-----------------
Subject: Is 13124819 prime?
Math A: True
Subject: Is 5903183095 composite?
Math A: True
Subject: Is 339114991 prime?
Math A: True
Subject: Is 29269 a composite number?
Math A: False
Subject: Is 1264005011 a prime number?
Math A: True
Subject: Is 285182333 a prime number?
Math A: False
Subject: Is 55907815835 a composite number?
Math A: True
Subject: Is 521 a prime number?
Math A: True
Subject: Is 400123 prime?
Math A: True
Subject: Is 347497193 prime?
Math A: True
Subject: Is 203117 composite?
Math A: False
Subject: Is 491327 a prime number?
Math A: True
Subject: Is 768479 composite?
Math A: False
Subject: Is 14269877 prime?
Math A: True
Subject: Is 141061 composite?
Math A: False
Subject: Is 1704341 a prime number?
Math A: False
Subject: Is 53695 composite?
Math A: True
Subject: Is 532973329 a composite number?
Math A: True
Subject: Is 496141 a composite number?
Math A: True
Subject: Is 563 composite?
Math A: False
Subject: Is 13645754741 a prime number?
Math A: True
Subject: Is 815471 a prime number?
Math A: True
Subject: Is 10019281 a prime number?
Math A: True
Subject: Is 41771 prime?
Math A: True
Subject: Is 10645 composite?
Math A: True
Subject: Is 127 a prime number?
Math A: True
Subject: Is 6177331 a prime number?
Math A: True
Subject: Is 168742421 a composite number?
Math A: True
Subject: Is 4861 composite?
Math A: False
Subject: Is 598849 a composite number?
Math A: True
Subject: Is 10041347 a prime number?
Math A: True
Subject: Is 125681 composite?
Math A: True
Subject: Is 515505139 prime?
Math A: True
Subject: Is 23356673 composite?
Math A: False
Subject: Is 14321 a composite number?
Math A: False
Subject: Is 11855303 composite?
Math A: False
Subject: Is 33243898 prime?
Math A: False
Subject: Is 8469709 composite?
Math A: False
Subject: Is 13329123334 a composite number?
Math A: True
Subject: Is 3532762351 prime?
Math A: False
Subject: Is 181040773 prime?
Math A: False
Subject: Is 49850519 a prime number?
Math A: True
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measurement: conversion
-----------------------
Test item: How many seconds are there in 43575.29us?
A: 0.04357529
Test item: Convert 323.3612 millilitres to litres.
A: 0.3233612
Test item: What is 29/5 of a century in years?
A: 580
Test item: Convert 5.523477 tonnes to grams.
A: 5523477
Test item: How many millilitres are there in 11/2 of a litre?
A: 5500
Test item: How many grams are there in 0.5924983t?
A: 592498.3
Test item: Convert 942360.5 micrograms to grams.
A: 0.9423605
Test item: What is 59/4 of a minute in seconds?
A: 885
Test item: How many minutes are there in 3/7 of a week?
A: 4320
Test item: Convert 854.9431ns to microseconds.
A: 0.8549431
Test item: How many nanometers are there in 8.590045mm?
A: 8590045
Test item: What is 144986.7 litres in millilitres?
A: 144986700
Test item: What is 21/4 of a litre in millilitres?
A: 5250
Test item: What is eight fifteenths of a hour in minutes?
A: 32
Test item: What is one fifth of a millennium in decades?
A: 20
Test item: What is 9.710328 tonnes in grams?
A: 9710328
Test item: What is 827.3603t in nanograms?
A: 827360300000000000
Test item: What is 265.2588ug in nanograms?
A: 265258.8
Test item: What is fifty-four fifths of a millennium in years?
A: 10800
Test item: Convert 24.482154 months to millennia.
A: 0.0020401795
Test item: What is 251880.2 millilitres in litres?
A: 251.8802
Test item: What is three tenths of a century in months?
A: 360
Test item: Convert 630.5026 litres to millilitres.
A: 630502.6
Test item: What is 0.7936864cm in millimeters?
A: 7.936864
Test item: Convert 8800505.28ns to weeks.
A: 0.0000000145511
Test item: How many milligrams are there in seven quarters of a gram?
A: 1750
Test item: Convert 3.027672ml to litres.
A: 0.003027672
Test item: What is eleven tenths of a kilogram in grams?
A: 1100
Test item: How many millimeters are there in 26/5 of a meter?
A: 5200
Test item: What is 1/4 of a litre in millilitres?
A: 250
Test item: What is one tenth of a litre in millilitres?
A: 100
Test it
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measurement: conversion
-----------------------
Exercise: What is eighteen fifths of a meter in millimeters?
Yields: 3600
Exercise: Convert 94481.6m to centimeters.
Yields: 9448160
Exercise: What is 2/7 of a week in minutes?
Yields: 2880
Exercise: Convert 211046.175ms to days.
Yields: 0.0024426640625
Exercise: What is 2/9 of a day in seconds?
Yields: 19200
Exercise: How many centuries are there in 2799757.2 months?
Yields: 2333.131
Exercise: How many seconds are there in 3/25 of a week?
Yields: 72576
Exercise: What is 8.528717 years in months?
Yields: 102.344604
Exercise: Convert 137587.6 millennia to centuries.
Yields: 1375876
Exercise: What is 8/25 of a meter in millimeters?
Yields: 320
Exercise: What is 3/25 of a litre in millilitres?
Yields: 120
Exercise: How many kilometers are there in 6.970309nm?
Yields: 0.000000000006970309
Exercise: How many years are there in 3/5 of a century?
Yields: 60
Exercise: What is thirty-seven fifths of a litre in millilitres?
Yields: 7400
Exercise: What is three fifths of a week in minutes?
Yields: 6048
Exercise: Convert 6.919001 millennia to years.
Yields: 6919.001
Exercise: How many kilometers are there in 10875.7 nanometers?
Yields: 0.0000000108757
Exercise: How many days are there in 0.3636349 weeks?
Yields: 2.5454443
Exercise: What is 152.3517 months in years?
Yields: 12.695975
Exercise: What is 957922.9 decades in months?
Yields: 114950748
Exercise: How many nanograms are there in 2/125 of a milligram?
Yields: 16000
Exercise: What is 10.034802 months in years?
Yields: 0.8362335
Exercise: How many months are there in 7/3 of a millennium?
Yields: 28000
Exercise: Convert 9.735898 weeks to minutes.
Yields: 98137.85184
Exercise: What is 16491.82mg in tonnes?
Yields: 0.00001649182
Exercise: How many decades are there in 40414.21 millennia?
Yields: 4041421
Exercise: What is five eighths of a litre in millilitres?
Yields: 625
Exercise: Convert 71.20356nm to micrometers.
Yields: 0.07120356
Exercise: Convert 0.4124361 months to centur
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numbers: is factor
------------------
Query: Is 368 a factor of 662633?
Calculation: False
Query: Is 106 a factor of 510750294?
Calculation: True
Query: Is 282 a factor of 58988668?
Calculation: False
Query: Is 553 a multiple of 17?
Calculation: False
Query: Does 8 divide 384?
Calculation: True
Query: Is 360545376 a multiple of 96?
Calculation: True
Query: Does 3143 divide 2445596097?
Calculation: False
Query: Is 55340976 a multiple of 2371?
Calculation: False
Query: Is 42 a factor of 2530920?
Calculation: True
Query: Does 1351 divide 618614509?
Calculation: False
Query: Does 20 divide 222?
Calculation: False
Query: Is 87 a factor of 1374815?
Calculation: False
Query: Is 101789700 a multiple of 100?
Calculation: True
Query: Is 15 a factor of 1068690?
Calculation: True
Query: Is 54353369 a multiple of 13?
Calculation: False
Query: Is 21 a factor of 20076542?
Calculation: False
Query: Is 67581 a multiple of 27?
Calculation: True
Query: Is 7878838 a multiple of 11?
Calculation: True
Query: Is 77 a factor of 20020?
Calculation: True
Query: Is 119052645 a multiple of 22?
Calculation: False
Query: Is 133 a factor of 819?
Calculation: False
Query: Is 57648864 a multiple of 416?
Calculation: True
Query: Is 22 a factor of 5836516?
Calculation: False
Query: Is 2911 a multiple of 33?
Calculation: False
Query: Does 374 divide 1733775?
Calculation: False
Query: Is 76 a factor of 7068?
Calculation: True
Query: Is 194 a multiple of 85?
Calculation: False
Query: Does 197 divide 29747?
Calculation: True
Query: Does 28 divide 2411?
Calculation: False
Query: Is 8217882 a multiple of 27?
Calculation: True
Query: Is 586626957 a multiple of 36?
Calculation: False
Query: Is 200 a multiple of 4?
Calculation: True
Query: Does 49 divide 9845?
Calculation: False
Query: Is 32 a factor of 1824?
Calculation: True
Query: Is 183 a factor of 21850338?
Calculation: False
Query: Is 944 a factor of 5992512?
Calculation: True
Query: Is 56 a factor of 952?
Calculation: True
Query: Is 114953084 a multipl
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numbers: is factor
------------------
Problem #: Is 341376 a multiple of 381?
Response: True
Problem #: Does 3 divide 47910126?
Response: True
Problem #: Is 20 a factor of 356475?
Response: False
Problem #: Does 76 divide 259985?
Response: False
Problem #: Is 6377 a factor of 188026480?
Response: False
Problem #: Is 1573707256 a multiple of 268?
Response: True
Problem #: Is 28770 a multiple of 30?
Response: True
Problem #: Is 8441871 a multiple of 4?
Response: False
Problem #: Is 2388 a multiple of 3?
Response: True
Problem #: Does 11 divide 124625459?
Response: False
Problem #: Is 85707877 a multiple of 340?
Response: False
Problem #: Is 1661 a factor of 32330928?
Response: False
Problem #: Is 15 a factor of 195?
Response: True
Problem #: Does 22 divide 3441727?
Response: False
Problem #: Is 1202 a factor of 6998044?
Response: True
Problem #: Does 17 divide 136?
Response: True
Problem #: Is 2844 a multiple of 79?
Response: True
Problem #: Is 137 a factor of 652410?
Response: False
Problem #: Does 331 divide 226073?
Response: True
Problem #: Is 192 a multiple of 16?
Response: True
Problem #: Does 15 divide 346712?
Response: False
Problem #: Is 10 a factor of 59027110?
Response: True
Problem #: Is 88 a factor of 27456?
Response: True
Problem #: Is 50 a factor of 204397800?
Response: True
Problem #: Is 7 a factor of 1226?
Response: False
Problem #: Is 10 a factor of 1030?
Response: True
Problem #: Does 35 divide 15225?
Response: True
Problem #: Does 16 divide 32446?
Response: False
Problem #: Is 94 a factor of 355431484?
Response: True
Problem #: Is 574 a factor of 425908?
Response: True
Problem #: Does 279 divide 14196601?
Response: False
Problem #: Is 59 a factor of 328938?
Response: False
Problem #: Is 133 a factor of 70756?
Response: True
Problem #: Is 875 a multiple of 2?
Response: False
Problem #: Is 259 a factor of 34858033?
Response: True
Problem #: Does 6 divide 11268?
Response: True
Problem #: Is 24 a factor of 6864?
Response: True
Problem #: Does 2793 divid
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numbers: gcd
------------
Given: What is the highest common factor of 4510 and 2090?
Soln: 110
Given: What is the greatest common factor of 1037 and 2796789?
Soln: 1037
Given: What is the highest common factor of 702375 and 11125?
Soln: 125
Given: Calculate the greatest common divisor of 3509 and 58.
Soln: 29
Given: What is the greatest common factor of 54531 and 487791?
Soln: 747
Given: What is the highest common divisor of 6971574 and 12?
Soln: 6
Given: Calculate the greatest common divisor of 239717 and 85.
Soln: 17
Given: What is the highest common factor of 16288 and 6617?
Soln: 509
Given: Calculate the highest common factor of 644445068 and 1310.
Soln: 262
Given: What is the greatest common divisor of 11 and 275?
Soln: 11
Given: What is the greatest common factor of 580 and 80?
Soln: 20
Given: Calculate the highest common divisor of 45 and 45.
Soln: 45
Given: What is the highest common factor of 8892 and 156?
Soln: 156
Given: What is the greatest common factor of 258 and 172?
Soln: 86
Given: What is the highest common divisor of 404647 and 271324?
Soln: 2339
Given: Calculate the highest common divisor of 13 and 22386208.
Soln: 13
Given: Calculate the greatest common divisor of 52 and 767.
Soln: 13
Given: Calculate the greatest common factor of 53 and 477.
Soln: 53
Given: Calculate the greatest common divisor of 1624888 and 8888.
Soln: 808
Given: What is the greatest common factor of 2285307 and 19239?
Soln: 159
Given: What is the greatest common divisor of 224 and 942208?
Soln: 32
Given: Calculate the greatest common factor of 1450508 and 748.
Soln: 68
Given: What is the greatest common factor of 187676 and 122?
Soln: 2
Given: Calculate the highest common divisor of 1305481 and 1873.
Soln: 1873
Given: What is the greatest common factor of 1 and 422?
Soln: 1
Given: What is the greatest common divisor of 220 and 16600?
Soln: 20
Given: What is the highest common divisor of 50 and 2?
Soln: 2
Given: Calculate the highest common divisor of 57408 and 7696.
Soln: 208
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arithmetic: nearest integer root
--------------------------------
Given: What is the cube root of 15596531 to the nearest integer?
Sol: 250
Given: What is the square root of 91940531 to the nearest integer?
Sol: 9589
Given: What is 139336 to the power of 1/2, to the nearest integer?
Sol: 373
Given: What is the square root of 56943 to the nearest integer?
Sol: 239
Given: What is 178724751 to the power of 1/7, to the nearest integer?
Sol: 15
Given: What is 1845373755 to the power of 1/3, to the nearest integer?
Sol: 1227
Given: What is the eighth root of 5488641 to the nearest integer?
Sol: 7
Given: What is 825 to the power of 1/2, to the nearest integer?
Sol: 29
Given: What is the square root of 9809 to the nearest integer?
Sol: 99
Given: What is 3773040 to the power of 1/9, to the nearest integer?
Sol: 5
Given: What is 689687 to the power of 1/6, to the nearest integer?
Sol: 9
Given: What is 2578 to the power of 1/6, to the nearest integer?
Sol: 4
Given: What is 91580 to the power of 1/2, to the nearest integer?
Sol: 303
Given: What is the square root of 428858 to the nearest integer?
Sol: 655
Given: What is 1212 to the power of 1/2, to the nearest integer?
Sol: 35
Given: What is 85942 to the power of 1/2, to the nearest integer?
Sol: 293
Given: What is the seventh root of 1830 to the nearest integer?
Sol: 3
Given: What is the tenth root of 2580 to the nearest integer?
Sol: 2
Given: What is the cube root of 569608744 to the nearest integer?
Sol: 829
Given: What is the square root of 103719 to the nearest integer?
Sol: 322
Given: What is the eighth root of 28470 to the nearest integer?
Sol: 4
Given: What is 3102308 to the power of 1/9, to the nearest integer?
Sol: 5
Given: What is the seventh root of 1963572686 to the nearest integer?
Sol: 21
Given: What is the ninth root of 2744 to the nearest integer?
Sol: 2
Given: What is 12053392 to the power of 1/2, to the nearest integer?
Sol: 3472
Given: What is 10863800 to the power of 1/2, to the nearest integer?
Sol: 3296
G
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numbers: div remainder
----------------------
Let us solve: Calculate the remainder when 604 is divided by 333.
Eval: 271
Let us solve: What is the remainder when 3202149 is divided by 2450?
Eval: 2449
Let us solve: Calculate the remainder when 281804 is divided by 139910.
Eval: 1984
Let us solve: What is the remainder when 35 is divided by 21?
Eval: 14
Let us solve: Calculate the remainder when 691349 is divided by 232.
Eval: 221
Let us solve: What is the remainder when 441868 is divided by 220929?
Eval: 10
Let us solve: What is the remainder when 6227618 is divided by 913?
Eval: 45
Let us solve: What is the remainder when 5109697 is divided by 327?
Eval: 322
Let us solve: What is the remainder when 2524 is divided by 817?
Eval: 73
Let us solve: Calculate the remainder when 7070 is divided by 160.
Eval: 30
Let us solve: Calculate the remainder when 116 is divided by 38.
Eval: 2
Let us solve: What is the remainder when 144661 is divided by 3189?
Eval: 1156
Let us solve: What is the remainder when 829 is divided by 8?
Eval: 5
Let us solve: Calculate the remainder when 1512 is divided by 40.
Eval: 32
Let us solve: Calculate the remainder when 542 is divided by 144.
Eval: 110
Let us solve: Calculate the remainder when 84384 is divided by 578.
Eval: 574
Let us solve: What is the remainder when 4725624 is divided by 60?
Eval: 24
Let us solve: Calculate the remainder when 12395 is divided by 148.
Eval: 111
Let us solve: What is the remainder when 24065 is divided by 3864?
Eval: 881
Let us solve: Calculate the remainder when 683162 is divided by 131.
Eval: 128
Let us solve: Calculate the remainder when 468 is divided by 31.
Eval: 3
Let us solve: Calculate the remainder when 9008 is divided by 9.
Eval: 8
Let us solve: What is the remainder when 313480 is divided by 1289?
Eval: 253
Let us solve: What is the remainder when 6038 is divided by 1989?
Eval: 71
Let us solve: What is the remainder when 12283 is divided by 2450?
Eval: 33
Let us solve: Calculate the remainder when 10
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probability: swr p sequence
---------------------------
Request: What is prob of sequence dd when two letters picked without replacement from ccdcd?
Result: 1/10
Request: Four letters picked without replacement from gdrdwdgrhg. Give prob of sequence whgd.
Result: 1/560
Request: Three letters picked without replacement from {v: 2, d: 2, a: 5}. What is prob of sequence dad?
Result: 5/252
Request: Two letters picked without replacement from {j: 2, v: 1, u: 1, x: 1, c: 1, i: 1}. What is prob of sequence uv?
Result: 1/42
Request: Calculate prob of sequence ssa when three letters picked without replacement from wswaswafw.
Result: 1/126
Request: Three letters picked without replacement from {t: 10, v: 4}. Give prob of sequence ttv.
Result: 15/91
Request: Calculate prob of sequence ye when two letters picked without replacement from {y: 4, e: 3}.
Result: 2/7
Request: What is prob of sequence cct when three letters picked without replacement from vetrrnvtcrvct?
Result: 1/286
Request: Two letters picked without replacement from {y: 1, c: 2}. What is prob of sequence cy?
Result: 1/3
Request: Calculate prob of sequence qv when two letters picked without replacement from {q: 1, z: 1, j: 3, v: 7, h: 1}.
Result: 7/156
Request: Four letters picked without replacement from {a: 4, e: 2, n: 8}. Give prob of sequence aena.
Result: 8/1001
Request: Calculate prob of sequence iiiw when four letters picked without replacement from {w: 3, i: 4, r: 5}.
Result: 1/165
Request: Three letters picked without replacement from {b: 2, k: 1, n: 1, h: 1, l: 2, i: 1}. Give prob of sequence hln.
Result: 1/168
Request: Three letters picked without replacement from emeeeemeeeeieim. Give prob of sequence iei.
Result: 2/273
Request: Three letters picked without replacement from aaafufapafpap. What is prob of sequence aua?
Result: 5/286
Request: Three letters picked without replacement from eceeoooccoe. Give prob of sequence eoc.
Result: 8/165
Request: Four letters picked without replacement from {q: 4, n: 4
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numbers: place value
--------------------
Conundrum: What is the ten thousands digit of 38513472?
Steps: 1
Conundrum: What is the millions digit of 2999787090?
Steps: 9
Conundrum: What is the ten millions digit of 61036822?
Steps: 6
Conundrum: What is the units digit of 68410371?
Steps: 1
Conundrum: What is the tens digit of 477?
Steps: 7
Conundrum: What is the hundreds digit of 2406057?
Steps: 0
Conundrum: What is the units digit of 1489708?
Steps: 8
Conundrum: What is the units digit of 360383?
Steps: 3
Conundrum: What is the units digit of 542?
Steps: 2
Conundrum: What is the tens digit of 14169390?
Steps: 9
Conundrum: What is the tens digit of 136?
Steps: 3
Conundrum: What is the thousands digit of 1090?
Steps: 1
Conundrum: What is the units digit of 605?
Steps: 5
Conundrum: What is the ten thousands digit of 105116?
Steps: 0
Conundrum: What is the hundred thousands digit of 3269178?
Steps: 2
Conundrum: What is the units digit of 300?
Steps: 0
Conundrum: What is the hundreds digit of 4640077?
Steps: 0
Conundrum: What is the tens digit of 4450?
Steps: 5
Conundrum: What is the hundred thousands digit of 3203510187?
Steps: 5
Conundrum: What is the hundreds digit of 934287?
Steps: 2
Conundrum: What is the hundreds digit of 99485634?
Steps: 6
Conundrum: What is the thousands digit of 335389?
Steps: 5
Conundrum: What is the thousands digit of 182456?
Steps: 2
Conundrum: What is the thousands digit of 2853?
Steps: 2
Conundrum: What is the units digit of 2284537?
Steps: 7
Conundrum: What is the tens digit of 7263?
Steps: 6
Conundrum: What is the tens digit of 151?
Steps: 5
Conundrum: What is the ten millions digit of 1386036797?
Steps: 8
Conundrum: What is the billions digit of 1963775468?
Steps: 1
Conundrum: What is the ten thousands digit of 225483256?
Steps: 8
Conundrum: What is the hundreds digit of 894548?
Steps: 5
Conundrum: What is the tens digit of 6946?
Steps: 4
Conundrum: What is the tens digit of 9129?
Steps: 2
Conundrum: What is the millions digit of 8945427
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numbers: is prime
-----------------
Question: Is 118421 a prime number?
Yields: False
Question: Is 81331 a prime number?
Yields: True
Question: Is 371973983 composite?
Yields: True
Question: Is 619793 a prime number?
Yields: True
Question: Is 204427 prime?
Yields: True
Question: Is 21757058 composite?
Yields: True
Question: Is 4807591 a prime number?
Yields: False
Question: Is 30288046237 a prime number?
Yields: True
Question: Is 123241 composite?
Yields: True
Question: Is 310481 composite?
Yields: False
Question: Is 22745 a composite number?
Yields: True
Question: Is 4410097 composite?
Yields: False
Question: Is 29604203 a prime number?
Yields: True
Question: Is 12481 a prime number?
Yields: False
Question: Is 12569021 a composite number?
Yields: False
Question: Is 1385 composite?
Yields: True
Question: Is 2764033 composite?
Yields: False
Question: Is 39964029059 a composite number?
Yields: False
Question: Is 6249040709 composite?
Yields: True
Question: Is 18167749 composite?
Yields: False
Question: Is 90673 composite?
Yields: True
Question: Is 221816467 composite?
Yields: False
Question: Is 67357 a composite number?
Yields: True
Question: Is 32393 composite?
Yields: True
Question: Is 1283701 prime?
Yields: True
Question: Is 9875647 a prime number?
Yields: False
Question: Is 67499221 prime?
Yields: True
Question: Is 32032219 a prime number?
Yields: True
Question: Is 9335 a prime number?
Yields: False
Question: Is 3230831 a prime number?
Yields: True
Question: Is 204053 prime?
Yields: False
Question: Is 23767973 prime?
Yields: False
Question: Is 560191213 a prime number?
Yields: False
Question: Is 201214607 composite?
Yields: True
Question: Is 8874684919 prime?
Yields: True
Question: Is 1759 a composite number?
Yields: False
Question: Is 468589621 a composite number?
Yields: True
Question: Is 5299627 a composite number?
Yields: False
Question: Is 25899580339 a prime number?
Yields: True
Question: Is 23106172205 composite?
Yields: True
Question: Is 2872445167 composi
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numbers: place value
--------------------
Question: What is the hundred thousands digit of 34747295?
Conclusion: 7
Question: What is the units digit of 4139072?
Conclusion: 2
Question: What is the tens digit of 1319?
Conclusion: 1
Question: What is the units digit of 4180716?
Conclusion: 6
Question: What is the tens digit of 23992?
Conclusion: 9
Question: What is the ten thousands digit of 2396579152?
Conclusion: 7
Question: What is the thousands digit of 15625129?
Conclusion: 5
Question: What is the ten thousands digit of 110210?
Conclusion: 1
Question: What is the tens digit of 5438880?
Conclusion: 8
Question: What is the ten millions digit of 1036377914?
Conclusion: 3
Question: What is the tens digit of 3366285564?
Conclusion: 6
Question: What is the millions digit of 100535850?
Conclusion: 0
Question: What is the tens digit of 17731039?
Conclusion: 3
Question: What is the ten thousands digit of 713715?
Conclusion: 1
Question: What is the tens digit of 1940?
Conclusion: 4
Question: What is the tens digit of 178052?
Conclusion: 5
Question: What is the tens digit of 8590?
Conclusion: 9
Question: What is the ten thousands digit of 575465057?
Conclusion: 6
Question: What is the millions digit of 17013775?
Conclusion: 7
Question: What is the tens digit of 108905208?
Conclusion: 0
Question: What is the ten thousands digit of 15689?
Conclusion: 1
Question: What is the hundred millions digit of 146372759?
Conclusion: 1
Question: What is the units digit of 120?
Conclusion: 0
Question: What is the ten millions digit of 21635839?
Conclusion: 2
Question: What is the ten thousands digit of 197799?
Conclusion: 9
Question: What is the units digit of 4230361?
Conclusion: 1
Question: What is the hundreds digit of 4507?
Conclusion: 5
Question: What is the thousands digit of 7258?
Conclusion: 7
Question: What is the hundred thousands digit of 937204?
Conclusion: 9
Question: What is the units digit of 7154?
Conclusion: 4
Question: What is the thousands digit of 1355396?
Conclusion:
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numbers: is prime
-----------------
Exercise: Is 19516789181 a composite number?
Sol: False
Exercise: Is 3285728189 composite?
Sol: False
Exercise: Is 2013257 composite?
Sol: True
Exercise: Is 7311448061 prime?
Sol: False
Exercise: Is 5729 composite?
Sol: True
Exercise: Is 7143391219 prime?
Sol: False
Exercise: Is 269851 composite?
Sol: False
Exercise: Is 63429959 a composite number?
Sol: True
Exercise: Is 6183815258 composite?
Sol: True
Exercise: Is 3305081777 composite?
Sol: False
Exercise: Is 331734229 a prime number?
Sol: True
Exercise: Is 63827 prime?
Sol: False
Exercise: Is 3445013323 prime?
Sol: False
Exercise: Is 248880137201 composite?
Sol: False
Exercise: Is 17311530179 a prime number?
Sol: True
Exercise: Is 1350059 composite?
Sol: False
Exercise: Is 9111 a prime number?
Sol: False
Exercise: Is 432074 prime?
Sol: False
Exercise: Is 77369480897 a prime number?
Sol: False
Exercise: Is 492976949 a prime number?
Sol: False
Exercise: Is 2407 a prime number?
Sol: False
Exercise: Is 79141 composite?
Sol: True
Exercise: Is 333269 a prime number?
Sol: True
Exercise: Is 225119 a prime number?
Sol: True
Exercise: Is 17851 a prime number?
Sol: True
Exercise: Is 128322617 composite?
Sol: False
Exercise: Is 2807153 composite?
Sol: True
Exercise: Is 7850033 prime?
Sol: True
Exercise: Is 127725259 a prime number?
Sol: True
Exercise: Is 3227 a composite number?
Sol: True
Exercise: Is 253827701 a prime number?
Sol: False
Exercise: Is 116221321 composite?
Sol: False
Exercise: Is 1005261137 a composite number?
Sol: True
Exercise: Is 88788013 prime?
Sol: False
Exercise: Is 15176872367 a composite number?
Sol: True
Exercise: Is 2262343385 a composite number?
Sol: True
Exercise: Is 190699 prime?
Sol: True
Exercise: Is 2330633 composite?
Sol: False
Exercise: Is 6830203 composite?
Sol: True
Exercise: Is 66363329 a prime number?
Sol: False
Exercise: Is 5513621 a prime number?
Sol: False
Exercise: Is 11717 prime?
Sol: True
Exercise: Is 7500721 composite?
Sol: False
Exercise: Is 6672
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numbers: place value
--------------------
Prompt: What is the hundred millions digit of 1060878872?
Key: 0
Prompt: What is the ten millions digit of 548639765?
Key: 4
Prompt: What is the hundreds digit of 2297863774?
Key: 7
Prompt: What is the ten thousands digit of 111959933?
Key: 5
Prompt: What is the thousands digit of 1294915?
Key: 4
Prompt: What is the thousands digit of 710729677?
Key: 9
Prompt: What is the hundreds digit of 33390045?
Key: 0
Prompt: What is the ten millions digit of 37674161?
Key: 3
Prompt: What is the units digit of 35450?
Key: 0
Prompt: What is the thousands digit of 92004470?
Key: 4
Prompt: What is the thousands digit of 262127?
Key: 2
Prompt: What is the millions digit of 24382489?
Key: 4
Prompt: What is the units digit of 20929?
Key: 9
Prompt: What is the millions digit of 54206557?
Key: 4
Prompt: What is the ten thousands digit of 999543?
Key: 9
Prompt: What is the thousands digit of 2859?
Key: 2
Prompt: What is the hundred thousands digit of 16593709?
Key: 5
Prompt: What is the units digit of 296541?
Key: 1
Prompt: What is the tens digit of 1141?
Key: 4
Prompt: What is the hundred millions digit of 649244434?
Key: 6
Prompt: What is the hundred thousands digit of 7805560620?
Key: 5
Prompt: What is the millions digit of 6547171?
Key: 6
Prompt: What is the ten thousands digit of 1259680192?
Key: 8
Prompt: What is the hundred thousands digit of 210427?
Key: 2
Prompt: What is the tens digit of 3963?
Key: 6
Prompt: What is the units digit of 69924?
Key: 4
Prompt: What is the hundreds digit of 1470736116?
Key: 1
Prompt: What is the ten thousands digit of 188120?
Key: 8
Prompt: What is the hundreds digit of 121101143?
Key: 1
Prompt: What is the hundreds digit of 47608607?
Key: 6
Prompt: What is the ten thousands digit of 2318160425?
Key: 6
Prompt: What is the units digit of 1872?
Key: 2
Prompt: What is the units digit of 63966?
Key: 6
Prompt: What is the ten millions digit of 312409359?
Key: 1
Prompt: What is the hundred thousands digit of 1511
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arithmetic: nearest integer root
--------------------------------
Item: What is the tenth root of 2785 to the nearest integer?
Therefore: 2
Item: What is the cube root of 136957540 to the nearest integer?
Therefore: 515
Item: What is the third root of 14248 to the nearest integer?
Therefore: 24
Item: What is the cube root of 324294 to the nearest integer?
Therefore: 69
Item: What is 61300809 to the power of 1/7, to the nearest integer?
Therefore: 13
Item: What is 503 to the power of 1/3, to the nearest integer?
Therefore: 8
Item: What is the eighth root of 477242150 to the nearest integer?
Therefore: 12
Item: What is the third root of 73157306 to the nearest integer?
Therefore: 418
Item: What is the cube root of 5396969 to the nearest integer?
Therefore: 175
Item: What is 4611 to the power of 1/3, to the nearest integer?
Therefore: 17
Item: What is the third root of 926961 to the nearest integer?
Therefore: 98
Item: What is 15719584 to the power of 1/2, to the nearest integer?
Therefore: 3965
Item: What is the eighth root of 86046 to the nearest integer?
Therefore: 4
Item: What is 211673089 to the power of 1/2, to the nearest integer?
Therefore: 14549
Item: What is the sixth root of 96495934 to the nearest integer?
Therefore: 21
Item: What is the eighth root of 47953 to the nearest integer?
Therefore: 4
Item: What is 128087922 to the power of 1/3, to the nearest integer?
Therefore: 504
Item: What is 55845144 to the power of 1/6, to the nearest integer?
Therefore: 20
Item: What is the square root of 1601364 to the nearest integer?
Therefore: 1265
Item: What is the cube root of 658334821 to the nearest integer?
Therefore: 870
Item: What is 21458 to the power of 1/2, to the nearest integer?
Therefore: 146
Item: What is 1092 to the power of 1/3, to the nearest integer?
Therefore: 10
Item: What is 328171 to the power of 1/3, to the nearest integer?
Therefore: 69
Item: What is the square root of 1059 to the nearest integer?
Therefore: 33
Item: What is the fifth root of 92
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numbers: is prime
-----------------
Challenge: Is 21743968955 a prime number?
Outcome: False
Challenge: Is 26507 a composite number?
Outcome: True
Challenge: Is 1502474 a composite number?
Outcome: True
Challenge: Is 11920321019 composite?
Outcome: False
Challenge: Is 846381 a prime number?
Outcome: False
Challenge: Is 12799 a composite number?
Outcome: False
Challenge: Is 68726200001 a composite number?
Outcome: False
Challenge: Is 24324155 prime?
Outcome: False
Challenge: Is 9946330949 prime?
Outcome: False
Challenge: Is 7829837 a prime number?
Outcome: True
Challenge: Is 154304497 a composite number?
Outcome: False
Challenge: Is 2517379 composite?
Outcome: False
Challenge: Is 1792991 prime?
Outcome: True
Challenge: Is 727774 a composite number?
Outcome: True
Challenge: Is 399206557 a prime number?
Outcome: False
Challenge: Is 2767 prime?
Outcome: True
Challenge: Is 1153039 composite?
Outcome: True
Challenge: Is 14436893111 a prime number?
Outcome: False
Challenge: Is 3593 prime?
Outcome: True
Challenge: Is 328792795 composite?
Outcome: True
Challenge: Is 256201 a prime number?
Outcome: False
Challenge: Is 1696953623 a prime number?
Outcome: True
Challenge: Is 25013 a prime number?
Outcome: True
Challenge: Is 6586961 a prime number?
Outcome: True
Challenge: Is 1109281 composite?
Outcome: False
Challenge: Is 3279745351 a composite number?
Outcome: True
Challenge: Is 1011697859 prime?
Outcome: False
Challenge: Is 341864021 a composite number?
Outcome: False
Challenge: Is 8955993049 composite?
Outcome: True
Challenge: Is 13574485439 a composite number?
Outcome: False
Challenge: Is 81611 a composite number?
Outcome: False
Challenge: Is 5025817 a composite number?
Outcome: False
Challenge: Is 42154068799 prime?
Outcome: True
Challenge: Is 4372037 prime?
Outcome: True
Challenge: Is 2431474483 prime?
Outcome: True
Challenge: Is 7085327803 composite?
Outcome: False
Challenge: Is 96620597 composite?
Outcome: True
Challenge: Is 5383709 prime?
Outcome: False
Challenge: Is 78
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numbers: place value
--------------------
Puzzle: What is the ten thousands digit of 73436?
A: 7
Puzzle: What is the units digit of 34131?
A: 1
Puzzle: What is the tens digit of 7422?
A: 2
Puzzle: What is the units digit of 22094?
A: 4
Puzzle: What is the tens digit of 10505690?
A: 9
Puzzle: What is the ten thousands digit of 998059?
A: 9
Puzzle: What is the hundreds digit of 168?
A: 1
Puzzle: What is the thousands digit of 231826?
A: 1
Puzzle: What is the hundreds digit of 299562210?
A: 2
Puzzle: What is the hundred thousands digit of 68659447?
A: 6
Puzzle: What is the hundreds digit of 1175?
A: 1
Puzzle: What is the units digit of 116381?
A: 1
Puzzle: What is the millions digit of 107121172?
A: 7
Puzzle: What is the tens digit of 21277809?
A: 0
Puzzle: What is the tens digit of 469?
A: 6
Puzzle: What is the hundred thousands digit of 117730?
A: 1
Puzzle: What is the units digit of 3376?
A: 6
Puzzle: What is the tens digit of 17579?
A: 7
Puzzle: What is the units digit of 679808?
A: 8
Puzzle: What is the millions digit of 8466673?
A: 8
Puzzle: What is the millions digit of 489304904?
A: 9
Puzzle: What is the units digit of 47242?
A: 2
Puzzle: What is the hundreds digit of 890021?
A: 0
Puzzle: What is the millions digit of 115117607?
A: 5
Puzzle: What is the hundred thousands digit of 1973218?
A: 9
Puzzle: What is the hundreds digit of 77578063?
A: 0
Puzzle: What is the units digit of 141207236?
A: 6
Puzzle: What is the units digit of 2509387?
A: 7
Puzzle: What is the tens digit of 1921347?
A: 4
Puzzle: What is the hundreds digit of 1154?
A: 1
Puzzle: What is the ten thousands digit of 1578106?
A: 7
Puzzle: What is the hundred thousands digit of 863050?
A: 8
Puzzle: What is the hundred thousands digit of 16599871?
A: 5
Puzzle: What is the units digit of 118299?
A: 9
Puzzle: What is the units digit of 356?
A: 6
Puzzle: What is the units digit of 1035540724?
A: 4
Puzzle: What is the units digit of 334738?
A: 8
Puzzle: What is the ten thousands digit of 104732912?
A: 3
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numbers: is prime
-----------------
Q=: Is 6766843 a prime number?
Final Answer: True
Q=: Is 1638547 a composite number?
Final Answer: False
Q=: Is 24191 a composite number?
Final Answer: True
Q=: Is 94134991 composite?
Final Answer: True
Q=: Is 86677 a composite number?
Final Answer: False
Q=: Is 4159095911 a prime number?
Final Answer: False
Q=: Is 686340177 a composite number?
Final Answer: True
Q=: Is 4882002191 prime?
Final Answer: False
Q=: Is 363445 a prime number?
Final Answer: False
Q=: Is 27779 a prime number?
Final Answer: True
Q=: Is 48194 a prime number?
Final Answer: False
Q=: Is 88589 composite?
Final Answer: False
Q=: Is 70297823 composite?
Final Answer: True
Q=: Is 568877 composite?
Final Answer: False
Q=: Is 764257381 a composite number?
Final Answer: False
Q=: Is 230379637 composite?
Final Answer: True
Q=: Is 2148973861 prime?
Final Answer: True
Q=: Is 66337 a composite number?
Final Answer: False
Q=: Is 8767 a prime number?
Final Answer: False
Q=: Is 239999 composite?
Final Answer: False
Q=: Is 26759 composite?
Final Answer: False
Q=: Is 60242387 a composite number?
Final Answer: True
Q=: Is 446471369 prime?
Final Answer: True
Q=: Is 1478123419 a composite number?
Final Answer: True
Q=: Is 43518111709 prime?
Final Answer: False
Q=: Is 573809 prime?
Final Answer: True
Q=: Is 198701 a prime number?
Final Answer: True
Q=: Is 35047 prime?
Final Answer: False
Q=: Is 5252403853 a composite number?
Final Answer: False
Q=: Is 6609 prime?
Final Answer: False
Q=: Is 236653973 composite?
Final Answer: False
Q=: Is 321 prime?
Final Answer: False
Q=: Is 164251 prime?
Final Answer: True
Q=: Is 49415 a composite number?
Final Answer: True
Q=: Is 376004491 composite?
Final Answer: False
Q=: Is 307780982089 a prime number?
Final Answer: False
Q=: Is 3493 a composite number?
Final Answer: True
Q=: Is 36815641 a composite number?
Final Answer: True
Q=: Is 413031781 composite?
Final Answer: True
Q=: Is 827250433 a prime number?
Final Answer: False
Q=: Is 101359 comp
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numbers: is factor
------------------
Conundrum: Does 13 divide 135365?
Outcome: False
Conundrum: Does 2293 divide 116055609?
Outcome: True
Conundrum: Does 30 divide 14536436?
Outcome: False
Conundrum: Does 4 divide 72?
Outcome: True
Conundrum: Is 39 a factor of 6552?
Outcome: True
Conundrum: Is 6 a factor of 3959?
Outcome: False
Conundrum: Is 61 a factor of 82960?
Outcome: True
Conundrum: Is 3387205731 a multiple of 651?
Outcome: True
Conundrum: Is 46 a factor of 221198466?
Outcome: False
Conundrum: Is 34296 a multiple of 79?
Outcome: False
Conundrum: Does 19 divide 4298547?
Outcome: False
Conundrum: Is 378 a factor of 95307?
Outcome: False
Conundrum: Is 44 a factor of 1666?
Outcome: False
Conundrum: Is 42 a factor of 2118311488?
Outcome: False
Conundrum: Does 15 divide 135?
Outcome: True
Conundrum: Is 23951136 a multiple of 528?
Outcome: True
Conundrum: Is 5 a factor of 26866?
Outcome: False
Conundrum: Does 72 divide 2669?
Outcome: False
Conundrum: Is 9 a factor of 372848565?
Outcome: False
Conundrum: Is 76286 a multiple of 202?
Outcome: False
Conundrum: Is 416 a multiple of 8?
Outcome: True
Conundrum: Is 9 a factor of 17897279?
Outcome: False
Conundrum: Is 354064 a multiple of 4?
Outcome: True
Conundrum: Is 76203220 a multiple of 236?
Outcome: True
Conundrum: Is 8 a factor of 101189?
Outcome: False
Conundrum: Is 190902719 a multiple of 7?
Outcome: True
Conundrum: Is 27382 a multiple of 4?
Outcome: False
Conundrum: Is 636 a factor of 28819129?
Outcome: False
Conundrum: Is 61 a factor of 11571?
Outcome: False
Conundrum: Is 52849 a multiple of 41?
Outcome: True
Conundrum: Is 22440 a multiple of 30?
Outcome: True
Conundrum: Is 8 a factor of 705705?
Outcome: False
Conundrum: Does 85 divide 6630?
Outcome: True
Conundrum: Is 2387365 even?
Outcome: False
Conundrum: Does 22 divide 2284700?
Outcome: True
Conundrum: Is 9 a factor of 24696189?
Outcome: True
Conundrum: Is 2681898 a multiple of 476?
Outcome: False
Conundrum: Is 1901072 a multiple of 198?
Outcome: False
Conundr
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numbers: is factor
------------------
Question: Does 73 divide 77813474?
Solution: True
Question: Is 1146 a factor of 107497092?
Solution: True
Question: Is 12 a factor of 19242003?
Solution: False
Question: Is 63877 a multiple of 11?
Solution: True
Question: Is 684229994 a multiple of 2709?
Solution: False
Question: Is 157 a factor of 104562?
Solution: True
Question: Does 1902 divide 55088913?
Solution: False
Question: Is 9 a factor of 319511658?
Solution: False
Question: Does 52 divide 52416?
Solution: True
Question: Is 870 a multiple of 40?
Solution: False
Question: Does 531 divide 4820182767?
Solution: True
Question: Is 202446 a multiple of 54?
Solution: True
Question: Is 7772 a multiple of 16?
Solution: False
Question: Does 8 divide 9660584?
Solution: True
Question: Is 984059 a multiple of 817?
Solution: False
Question: Is 48 a factor of 1873536?
Solution: True
Question: Does 77 divide 29565074?
Solution: True
Question: Is 283507109 a multiple of 568?
Solution: False
Question: Does 11 divide 83?
Solution: False
Question: Is 95 a factor of 11975?
Solution: False
Question: Does 14 divide 260?
Solution: False
Question: Is 74314535 a multiple of 1931?
Solution: True
Question: Is 100994 a multiple of 20?
Solution: False
Question: Does 16 divide 53712?
Solution: True
Question: Does 57 divide 513?
Solution: True
Question: Is 37 a factor of 24864?
Solution: True
Question: Is 1146339310 a multiple of 109?
Solution: False
Question: Is 18 a factor of 17298?
Solution: True
Question: Is 26 a multiple of 26?
Solution: True
Question: Is 73017 a multiple of 11?
Solution: False
Question: Is 394370 a multiple of 113?
Solution: True
Question: Is 7 a factor of 181?
Solution: False
Question: Is 38 a factor of 4370?
Solution: True
Question: Does 97 divide 658824?
Solution: True
Question: Does 46 divide 1150?
Solution: True
Question: Does 7 divide 13930977?
Solution: False
Question: Is 15 a factor of 829623?
Solution: False
Question: Is 278 a multiple of 26?
Solution: False
Question:
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probability: swr p sequence
---------------------------
Exercise: Three letters picked without replacement from {e: 4, n: 4, o: 3, q: 1, f: 1, l: 2}. What is prob of sequence nqn?
Key: 2/455
Exercise: Three letters picked without replacement from {k: 5, z: 15}. What is prob of sequence kzz?
Key: 35/228
Exercise: Four letters picked without replacement from aaaahknknnnnn. What is prob of sequence nnak?
Key: 2/143
Exercise: Two letters picked without replacement from {v: 2, u: 1, w: 5, x: 8}. What is prob of sequence vu?
Key: 1/120
Exercise: Calculate prob of sequence vex when three letters picked without replacement from xvtet.
Key: 1/60
Exercise: Four letters picked without replacement from {w: 10, b: 4}. What is prob of sequence wwbw?
Key: 120/1001
Exercise: Two letters picked without replacement from {k: 3, z: 7}. What is prob of sequence zz?
Key: 7/15
Exercise: Two letters picked without replacement from {s: 17, f: 1}. Give prob of sequence ss.
Key: 8/9
Exercise: Calculate prob of sequence ezez when four letters picked without replacement from zzzzezzzzeez.
Key: 2/55
Exercise: What is prob of sequence lz when two letters picked without replacement from xxxsxsslzlxsz?
Key: 1/39
Exercise: Four letters picked without replacement from {h: 2, o: 7}. What is prob of sequence ohoo?
Key: 5/36
Exercise: Three letters picked without replacement from {r: 5, k: 9}. Give prob of sequence kkr.
Key: 15/91
Exercise: Calculate prob of sequence rrw when three letters picked without replacement from {r: 11, w: 9}.
Key: 11/76
Exercise: Four letters picked without replacement from {f: 11, z: 1, v: 1}. Give prob of sequence vvzv.
Key: 0
Exercise: Three letters picked without replacement from {o: 6, j: 2, x: 2, e: 1}. What is prob of sequence ejx?
Key: 2/495
Exercise: Calculate prob of sequence cc when two letters picked without replacement from {c: 1, x: 3, l: 2, t: 6}.
Key: 0
Exercise: Three letters picked without replacement from komxooosso. Give prob of sequence oms.
Key: 1/72
Exer
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english
|
probability: swr p level set
----------------------------
Conundrum: Calculate prob of picking 2 l, 1 f, and 1 k when four letters picked without replacement from fklllkllkkk.
Workthrough: 5/33
Conundrum: Four letters picked without replacement from {l: 1, s: 10, d: 1, i: 3}. Give prob of picking 1 i, 1 d, 1 l, and 1 s.
Workthrough: 2/91
Conundrum: Two letters picked without replacement from {d: 6, w: 1, y: 11}. Give prob of picking 1 d and 1 y.
Workthrough: 22/51
Conundrum: Two letters picked without replacement from msmmmmmsmmmmmmmmmm. What is prob of picking 2 s?
Workthrough: 1/153
Conundrum: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from svbbbbvbbbvbbbb.
Workthrough: 1/35
Conundrum: What is prob of picking 1 d and 1 k when two letters picked without replacement from {f: 6, k: 2, r: 2, d: 10}?
Workthrough: 2/19
Conundrum: Three letters picked without replacement from xxxyxxyxyxx. What is prob of picking 3 y?
Workthrough: 1/165
Conundrum: Calculate prob of picking 2 r and 1 a when three letters picked without replacement from {j: 1, m: 8, r: 2, a: 5}.
Workthrough: 1/112
Conundrum: Calculate prob of picking 2 t when two letters picked without replacement from tqtxxxrxx.
Workthrough: 1/36
Conundrum: What is prob of picking 2 l when two letters picked without replacement from {l: 4, q: 2, m: 1}?
Workthrough: 2/7
Conundrum: What is prob of picking 3 y when three letters picked without replacement from {r: 2, y: 9}?
Workthrough: 28/55
Conundrum: Four letters picked without replacement from {x: 1, z: 2, y: 2, u: 4}. What is prob of picking 2 y and 2 u?
Workthrough: 1/21
Conundrum: Calculate prob of picking 3 t and 1 x when four letters picked without replacement from {r: 1, x: 4, s: 1, d: 4, t: 3, u: 1}.
Workthrough: 4/1001
Conundrum: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {f: 3, l: 1, r: 4, v: 4, q: 5, c: 3}.
Workthrough: 3/190
Conundrum: What is prob of picking 1 f and 1 u when two
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numbers: place value
--------------------
Situation: What is the hundreds digit of 606604461?
Outcome: 4
Situation: What is the hundred thousands digit of 1092629?
Outcome: 0
Situation: What is the ten thousands digit of 136018763?
Outcome: 1
Situation: What is the hundreds digit of 1477160?
Outcome: 1
Situation: What is the thousands digit of 160355850?
Outcome: 5
Situation: What is the ten millions digit of 240198750?
Outcome: 4
Situation: What is the units digit of 23722581?
Outcome: 1
Situation: What is the thousands digit of 9409?
Outcome: 9
Situation: What is the hundreds digit of 485?
Outcome: 4
Situation: What is the units digit of 12926736?
Outcome: 6
Situation: What is the hundreds digit of 478007970?
Outcome: 9
Situation: What is the thousands digit of 1526?
Outcome: 1
Situation: What is the units digit of 278895?
Outcome: 5
Situation: What is the tens digit of 2175069?
Outcome: 6
Situation: What is the hundreds digit of 216472?
Outcome: 4
Situation: What is the millions digit of 463323352?
Outcome: 3
Situation: What is the hundreds digit of 5969?
Outcome: 9
Situation: What is the millions digit of 2657362?
Outcome: 2
Situation: What is the units digit of 3687?
Outcome: 7
Situation: What is the hundred thousands digit of 853160987?
Outcome: 1
Situation: What is the thousands digit of 426401?
Outcome: 6
Situation: What is the thousands digit of 999144?
Outcome: 9
Situation: What is the thousands digit of 36005?
Outcome: 6
Situation: What is the units digit of 224330?
Outcome: 0
Situation: What is the units digit of 28906145?
Outcome: 5
Situation: What is the hundreds digit of 2277?
Outcome: 2
Situation: What is the units digit of 342?
Outcome: 2
Situation: What is the hundred thousands digit of 2590411045?
Outcome: 4
Situation: What is the tens digit of 677705?
Outcome: 0
Situation: What is the billions digit of 5325346184?
Outcome: 5
Situation: What is the hundreds digit of 6511?
Outcome: 5
Situation: What is the hundred thousands digit of 40627908?
Outco
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arithmetic: nearest integer root
--------------------------------
Scenario: What is 59048 to the power of 1/7, to the nearest integer?
Result: 5
Scenario: What is 895 to the power of 1/6, to the nearest integer?
Result: 3
Scenario: What is 521413938 to the power of 1/2, to the nearest integer?
Result: 22834
Scenario: What is the square root of 382064 to the nearest integer?
Result: 618
Scenario: What is the square root of 790 to the nearest integer?
Result: 28
Scenario: What is the square root of 32628523 to the nearest integer?
Result: 5712
Scenario: What is the sixth root of 356932 to the nearest integer?
Result: 8
Scenario: What is 3723282 to the power of 1/2, to the nearest integer?
Result: 1930
Scenario: What is 957 to the power of 1/8, to the nearest integer?
Result: 2
Scenario: What is the ninth root of 1067945076 to the nearest integer?
Result: 10
Scenario: What is the square root of 2800164 to the nearest integer?
Result: 1673
Scenario: What is the square root of 2957079 to the nearest integer?
Result: 1720
Scenario: What is 87878 to the power of 1/2, to the nearest integer?
Result: 296
Scenario: What is the cube root of 333 to the nearest integer?
Result: 7
Scenario: What is 6842667 to the power of 1/3, to the nearest integer?
Result: 190
Scenario: What is 10662308 to the power of 1/2, to the nearest integer?
Result: 3265
Scenario: What is the third root of 110009367 to the nearest integer?
Result: 479
Scenario: What is the square root of 4275 to the nearest integer?
Result: 65
Scenario: What is the third root of 2502089 to the nearest integer?
Result: 136
Scenario: What is the fifth root of 2043446 to the nearest integer?
Result: 18
Scenario: What is 2610 to the power of 1/3, to the nearest integer?
Result: 14
Scenario: What is 652 to the power of 1/2, to the nearest integer?
Result: 26
Scenario: What is the square root of 1024422425 to the nearest integer?
Result: 32007
Scenario: What is 156928825 to the power of 1/9, to the nearest integer?
Result: 8
Sc
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numbers: gcd
------------
What if: What is the greatest common factor of 675 and 973638?
A: 9
What if: Calculate the highest common divisor of 221 and 29.
A: 1
What if: Calculate the greatest common factor of 1193 and 84.
A: 1
What if: Calculate the greatest common factor of 4858 and 694.
A: 694
What if: What is the highest common factor of 36 and 708?
A: 12
What if: What is the greatest common factor of 81 and 21625?
A: 1
What if: Calculate the greatest common divisor of 2784 and 576.
A: 96
What if: Calculate the greatest common factor of 205984 and 157.
A: 157
What if: Calculate the highest common factor of 18 and 4.
A: 2
What if: What is the highest common factor of 2079 and 143055?
A: 99
What if: Calculate the highest common divisor of 1403370 and 15.
A: 15
What if: What is the highest common divisor of 7524 and 200068?
A: 44
What if: What is the highest common factor of 1325921716 and 4?
A: 4
What if: What is the greatest common divisor of 3360 and 30?
A: 30
What if: Calculate the highest common factor of 45057 and 69.
A: 69
What if: What is the greatest common factor of 70 and 40703110?
A: 70
What if: What is the greatest common divisor of 6985 and 254?
A: 127
What if: What is the greatest common factor of 446895 and 1161?
A: 9
What if: Calculate the highest common factor of 2102243 and 610.
A: 61
What if: Calculate the highest common factor of 18 and 62860.
A: 2
What if: What is the highest common factor of 1098 and 8662?
A: 122
What if: Calculate the highest common divisor of 89 and 20987179.
A: 89
What if: Calculate the greatest common factor of 47 and 7022693.
A: 47
What if: Calculate the highest common divisor of 30 and 22636155.
A: 15
What if: Calculate the highest common divisor of 1524 and 889.
A: 127
What if: Calculate the highest common divisor of 56289 and 51.
A: 3
What if: Calculate the greatest common factor of 69 and 12352909.
A: 23
What if: What is the greatest common divisor of 4782861 and 13959?
A: 1269
What if: Calculate the greatest common f
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probability: swr p sequence
---------------------------
Q-: Four letters picked without replacement from {b: 1, x: 4, d: 8, y: 2, r: 4, j: 1}. What is prob of sequence djrb?
Sol: 4/14535
Q-: Calculate prob of sequence wut when three letters picked without replacement from {u: 4, w: 2, t: 1}.
Sol: 4/105
Q-: What is prob of sequence ii when two letters picked without replacement from ill?
Sol: 0
Q-: Two letters picked without replacement from nknnxnpnk. What is prob of sequence pk?
Sol: 1/36
Q-: Calculate prob of sequence oo when two letters picked without replacement from oooooooooo.
Sol: 1
Q-: Three letters picked without replacement from ereecedeedwdmere. Give prob of sequence dec.
Sol: 1/140
Q-: Three letters picked without replacement from hhnn. Give prob of sequence nhh.
Sol: 1/6
Q-: Four letters picked without replacement from {m: 3, n: 5, b: 2}. What is prob of sequence bnbm?
Sol: 1/168
Q-: Calculate prob of sequence cl when two letters picked without replacement from cwclwwwwlww.
Sol: 2/55
Q-: Two letters picked without replacement from {l: 1, s: 1, m: 2}. Give prob of sequence ml.
Sol: 1/6
Q-: What is prob of sequence aa when two letters picked without replacement from addadad?
Sol: 1/7
Q-: Three letters picked without replacement from iisim. Give prob of sequence ism.
Sol: 1/20
Q-: What is prob of sequence xxcc when four letters picked without replacement from ccccxcccxcxccccccxc?
Sol: 35/1292
Q-: Three letters picked without replacement from {m: 3, d: 13, t: 4}. What is prob of sequence mtt?
Sol: 1/190
Q-: Calculate prob of sequence qk when two letters picked without replacement from {q: 4, j: 3, k: 3, e: 1}.
Sol: 6/55
Q-: Three letters picked without replacement from {i: 6, w: 1, h: 1, f: 3, a: 1}. Give prob of sequence wff.
Sol: 1/220
Q-: What is prob of sequence nq when two letters picked without replacement from nqe?
Sol: 1/6
Q-: Calculate prob of sequence ic when two letters picked without replacement from {c: 5, a: 3, i: 3}.
Sol: 3/22
Q-: What is pro
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probability: swr p sequence
---------------------------
Problem: What is prob of sequence iddi when four letters picked without replacement from hdddiii?
Clarification: 3/70
Problem: Calculate prob of sequence lmll when four letters picked without replacement from llllllllllllllllmll.
Clarification: 1/19
Problem: What is prob of sequence wyy when three letters picked without replacement from wwwwywwwy?
Clarification: 1/36
Problem: Calculate prob of sequence zkk when three letters picked without replacement from ikkkkkkikizikkkkkzi.
Clarification: 44/969
Problem: Calculate prob of sequence bn when two letters picked without replacement from {q: 2, n: 1, u: 3, b: 1, p: 1, h: 3}.
Clarification: 1/110
Problem: What is prob of sequence ffs when three letters picked without replacement from sfffsfssffsf?
Clarification: 7/44
Problem: What is prob of sequence xbxx when four letters picked without replacement from bmbximhhihxhhhxbb?
Clarification: 1/2380
Problem: Three letters picked without replacement from {a: 5, b: 2}. What is prob of sequence bab?
Clarification: 1/21
Problem: Two letters picked without replacement from {o: 1, w: 2, a: 3, z: 1, m: 4, b: 1}. Give prob of sequence bo.
Clarification: 1/132
Problem: Two letters picked without replacement from {a: 1, j: 1, g: 1, i: 1, b: 1}. Give prob of sequence gi.
Clarification: 1/20
Problem: Calculate prob of sequence ug when two letters picked without replacement from {b: 2, u: 1, p: 1, g: 4, t: 2}.
Clarification: 2/45
Problem: What is prob of sequence ypoo when four letters picked without replacement from {p: 3, k: 9, z: 4, y: 1, o: 2}?
Clarification: 1/15504
Problem: What is prob of sequence ban when three letters picked without replacement from rnjarbbjrjra?
Clarification: 1/330
Problem: Three letters picked without replacement from {g: 1, m: 1, c: 1}. What is prob of sequence cgm?
Clarification: 1/6
Problem: Two letters picked without replacement from mhtututt. Give prob of sequence mt.
Clarification: 1/14
Problem: Tw
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english
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numbers: lcm
------------
Ask: Calculate the smallest common multiple of 22 and 2713799.
Interpretation: 5427598
Ask: Calculate the least common multiple of 2928 and 114924.
Interpretation: 459696
Ask: Calculate the smallest common multiple of 22 and 9680.
Interpretation: 9680
Ask: What is the common denominator of -29/144 and -139/5484?
Interpretation: 65808
Ask: Calculate the smallest common multiple of 8085 and 274890.
Interpretation: 274890
Ask: Calculate the smallest common multiple of 114 and 1152.
Interpretation: 21888
Ask: Find the common denominator of -10/896497 and 16/2689491.
Interpretation: 2689491
Ask: Calculate the common denominator of 97/3845460 and -37/1410002.
Interpretation: 42300060
Ask: Calculate the smallest common multiple of 31 and 6.
Interpretation: 186
Ask: Calculate the smallest common multiple of 204 and 8.
Interpretation: 408
Ask: Find the common denominator of 25/1774 and 61/22.
Interpretation: 19514
Ask: Calculate the common denominator of -145/17309466 and 91/74.
Interpretation: 640450242
Ask: Calculate the least common multiple of 16 and 70164.
Interpretation: 280656
Ask: What is the common denominator of 39/5566 and -61/4706306?
Interpretation: 51769366
Ask: Find the common denominator of -10/18011 and 67/295895.
Interpretation: 2071265
Ask: What is the smallest common multiple of 401334912 and 4362336?
Interpretation: 401334912
Ask: Calculate the least common multiple of 12 and 4.
Interpretation: 12
Ask: Calculate the lowest common multiple of 298749 and 97.
Interpretation: 28978653
Ask: Calculate the common denominator of 47/4033084 and -37/36.
Interpretation: 36297756
Ask: What is the least common multiple of 500094 and 588?
Interpretation: 1000188
Ask: What is the smallest common multiple of 8256 and 344?
Interpretation: 8256
Ask: Calculate the least common multiple of 1160 and 4930.
Interpretation: 19720
Ask: What is the smallest common multiple of 430538878 and 195699490?
Interpretation: 2152694390
Ask: What is the smallest c
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english
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probability: swr p sequence
---------------------------
Subquestion: What is prob of sequence gcg when three letters picked without replacement from {g: 4, c: 16}?
Steps: 8/285
Subquestion: Four letters picked without replacement from uumvmmvv. What is prob of sequence mvuu?
Steps: 3/280
Subquestion: What is prob of sequence bh when two letters picked without replacement from bhggbbgbghbbbghh?
Steps: 7/60
Subquestion: What is prob of sequence ylok when four letters picked without replacement from {l: 3, y: 3, o: 9, p: 2, k: 2}?
Steps: 9/5168
Subquestion: Two letters picked without replacement from {l: 5, v: 11}. What is prob of sequence vv?
Steps: 11/24
Subquestion: Three letters picked without replacement from wyf. Give prob of sequence wfy.
Steps: 1/6
Subquestion: Two letters picked without replacement from rrrrxrxrxxt. Give prob of sequence xt.
Steps: 2/55
Subquestion: What is prob of sequence chct when four letters picked without replacement from thclh?
Steps: 0
Subquestion: Three letters picked without replacement from {v: 3, b: 3, c: 13}. Give prob of sequence cvc.
Steps: 26/323
Subquestion: Four letters picked without replacement from hhohhhho. What is prob of sequence hohh?
Steps: 1/7
Subquestion: What is prob of sequence zypy when four letters picked without replacement from {z: 2, p: 9, y: 8}?
Steps: 7/646
Subquestion: What is prob of sequence uuux when four letters picked without replacement from xuxxxxxxxxxuxxux?
Steps: 1/560
Subquestion: Calculate prob of sequence gf when two letters picked without replacement from {g: 13, f: 6}.
Steps: 13/57
Subquestion: Three letters picked without replacement from {w: 4, v: 2, l: 4, d: 1, t: 7}. What is prob of sequence vdl?
Steps: 1/612
Subquestion: Calculate prob of sequence gg when two letters picked without replacement from {g: 7}.
Steps: 1
Subquestion: Three letters picked without replacement from {p: 17, c: 2}. Give prob of sequence pcp.
Steps: 16/171
Subquestion: Two letters picked without replacement from {i:
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english
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probability: swr p level set
----------------------------
Prompt: Three letters picked without replacement from iogilgy. Give prob of picking 1 l, 1 y, and 1 g.
Solution: 2/35
Prompt: Three letters picked without replacement from zzzvvtzzzkvvvtzkwz. What is prob of picking 3 v?
Solution: 5/408
Prompt: Two letters picked without replacement from {g: 6, w: 2}. Give prob of picking 2 g.
Solution: 15/28
Prompt: What is prob of picking 3 q when three letters picked without replacement from {q: 9}?
Solution: 1
Prompt: Three letters picked without replacement from rwxkrrrrfxrkfff. What is prob of picking 1 w, 1 f, and 1 x?
Solution: 8/455
Prompt: What is prob of picking 1 f and 2 k when three letters picked without replacement from fkffk?
Solution: 3/10
Prompt: What is prob of picking 1 u and 1 j when two letters picked without replacement from uumujmmmumummumuu?
Solution: 1/17
Prompt: Two letters picked without replacement from kmuouej. What is prob of picking 1 m and 1 e?
Solution: 1/21
Prompt: What is prob of picking 2 a when two letters picked without replacement from vaggagag?
Solution: 3/28
Prompt: Three letters picked without replacement from {i: 1, z: 1, p: 1, j: 1, g: 3}. Give prob of picking 1 j and 2 g.
Solution: 3/35
Prompt: Two letters picked without replacement from {d: 7, f: 2, n: 5}. Give prob of picking 1 f and 1 d.
Solution: 2/13
Prompt: Two letters picked without replacement from zzzxxx. What is prob of picking 2 z?
Solution: 1/5
Prompt: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from ksqqetex.
Solution: 1/28
Prompt: Calculate prob of picking 1 r, 1 w, and 1 j when three letters picked without replacement from {j: 3, i: 1, r: 1, t: 2, w: 4, c: 1}.
Solution: 3/55
Prompt: What is prob of picking 1 o and 1 x when two letters picked without replacement from vhdxuvxod?
Solution: 1/18
Prompt: Calculate prob of picking 4 c when four letters picked without replacement from {c: 6}.
Solution: 1
Prompt: Three letters picked wi
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english
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numbers: gcd
------------
Given: What is the greatest common divisor of 14790 and 50235?
Interpretation: 255
Given: What is the greatest common factor of 13884 and 197580?
Interpretation: 1068
Given: Calculate the greatest common factor of 1164 and 2652.
Interpretation: 12
Given: What is the greatest common divisor of 329632 and 32?
Interpretation: 32
Given: Calculate the highest common divisor of 48 and 382548.
Interpretation: 12
Given: Calculate the greatest common divisor of 18 and 2798.
Interpretation: 2
Given: Calculate the highest common factor of 175 and 49.
Interpretation: 7
Given: What is the highest common divisor of 136 and 662252?
Interpretation: 68
Given: What is the greatest common divisor of 386356292 and 196?
Interpretation: 28
Given: What is the greatest common divisor of 353370114 and 972?
Interpretation: 486
Given: What is the highest common factor of 734103 and 18?
Interpretation: 9
Given: What is the highest common factor of 27517 and 14?
Interpretation: 7
Given: What is the greatest common divisor of 740 and 220?
Interpretation: 20
Given: Calculate the greatest common factor of 8103 and 563268.
Interpretation: 219
Given: What is the greatest common factor of 92 and 26036?
Interpretation: 92
Given: What is the greatest common divisor of 1390 and 8413670?
Interpretation: 1390
Given: What is the highest common factor of 243 and 108?
Interpretation: 27
Given: What is the greatest common divisor of 159 and 56657?
Interpretation: 53
Given: What is the highest common divisor of 1752 and 60797904?
Interpretation: 1752
Given: Calculate the highest common factor of 16540 and 20.
Interpretation: 20
Given: Calculate the greatest common divisor of 6492 and 221907921.
Interpretation: 1623
Given: What is the greatest common divisor of 66 and 3333?
Interpretation: 33
Given: What is the highest common divisor of 58022326 and 1836?
Interpretation: 34
Given: Calculate the greatest common divisor of 121732 and 26.
Interpretation: 26
Given: Calculate the highest co
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english
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numbers: place value
--------------------
Given: What is the hundreds digit of 1134489?
Sol: 4
Given: What is the tens digit of 167921052?
Sol: 5
Given: What is the thousands digit of 3766365861?
Sol: 5
Given: What is the tens digit of 48570919?
Sol: 1
Given: What is the thousands digit of 1190?
Sol: 1
Given: What is the tens digit of 24939?
Sol: 3
Given: What is the millions digit of 14381706?
Sol: 4
Given: What is the millions digit of 22772297?
Sol: 2
Given: What is the thousands digit of 1597259074?
Sol: 9
Given: What is the ten thousands digit of 2296517?
Sol: 9
Given: What is the hundred millions digit of 1585860196?
Sol: 5
Given: What is the hundreds digit of 294773746?
Sol: 7
Given: What is the units digit of 3918?
Sol: 8
Given: What is the millions digit of 587362518?
Sol: 7
Given: What is the tens digit of 1252?
Sol: 5
Given: What is the hundred thousands digit of 1058181966?
Sol: 1
Given: What is the units digit of 611?
Sol: 1
Given: What is the ten millions digit of 25165799?
Sol: 2
Given: What is the units digit of 91?
Sol: 1
Given: What is the tens digit of 513?
Sol: 1
Given: What is the hundred thousands digit of 7832041?
Sol: 8
Given: What is the tens digit of 918?
Sol: 1
Given: What is the ten thousands digit of 37546?
Sol: 3
Given: What is the hundred thousands digit of 40964839?
Sol: 9
Given: What is the hundred thousands digit of 557077?
Sol: 5
Given: What is the hundreds digit of 2172?
Sol: 1
Given: What is the units digit of 18445?
Sol: 5
Given: What is the hundred thousands digit of 88617018?
Sol: 6
Given: What is the units digit of 467746?
Sol: 6
Given: What is the thousands digit of 44395?
Sol: 4
Given: What is the hundreds digit of 16869748?
Sol: 7
Given: What is the hundreds digit of 127347111?
Sol: 1
Given: What is the thousands digit of 85125?
Sol: 5
Given: What is the tens digit of 7125?
Sol: 2
Given: What is the tens digit of 4931?
Sol: 3
Given: What is the tens digit of 9934?
Sol: 3
Given: What is the ten millions digit of 135775552?
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numbers: place value
--------------------
Case: What is the units digit of 140942165?
Workthrough: 5
Case: What is the units digit of 4221?
Workthrough: 1
Case: What is the tens digit of 112721?
Workthrough: 2
Case: What is the hundreds digit of 1234888?
Workthrough: 8
Case: What is the ten thousands digit of 59218?
Workthrough: 5
Case: What is the ten thousands digit of 78320?
Workthrough: 7
Case: What is the thousands digit of 813130991?
Workthrough: 0
Case: What is the tens digit of 8022?
Workthrough: 2
Case: What is the hundreds digit of 3315361?
Workthrough: 3
Case: What is the units digit of 102237?
Workthrough: 7
Case: What is the tens digit of 2718?
Workthrough: 1
Case: What is the hundred thousands digit of 22609848?
Workthrough: 6
Case: What is the tens digit of 61423?
Workthrough: 2
Case: What is the units digit of 669665?
Workthrough: 5
Case: What is the hundred thousands digit of 3996293?
Workthrough: 9
Case: What is the hundreds digit of 396244861?
Workthrough: 8
Case: What is the thousands digit of 42247?
Workthrough: 2
Case: What is the ten thousands digit of 85651?
Workthrough: 8
Case: What is the units digit of 236340?
Workthrough: 0
Case: What is the thousands digit of 950379737?
Workthrough: 9
Case: What is the ten millions digit of 49360880?
Workthrough: 4
Case: What is the units digit of 175424912?
Workthrough: 2
Case: What is the hundred thousands digit of 149189?
Workthrough: 1
Case: What is the hundred thousands digit of 5349902?
Workthrough: 3
Case: What is the units digit of 13278?
Workthrough: 8
Case: What is the units digit of 1035065?
Workthrough: 5
Case: What is the hundreds digit of 1422?
Workthrough: 4
Case: What is the ten thousands digit of 1545811750?
Workthrough: 1
Case: What is the tens digit of 742430?
Workthrough: 3
Case: What is the thousands digit of 778785623?
Workthrough: 5
Case: What is the units digit of 34947474?
Workthrough: 4
Case: What is the hundreds digit of 1294?
Workthrough: 2
Case: What is the units digit of 162
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english
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probability: swr p level set
----------------------------
Q: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from {g: 2, f: 4, q: 3}.
Derivation: 2/9
Q: What is prob of picking 1 w and 1 n when two letters picked without replacement from wnxnzwxyhyxxyxw?
Derivation: 2/35
Q: Three letters picked without replacement from {y: 3, n: 4, f: 2, p: 1, h: 1}. What is prob of picking 1 f and 2 n?
Derivation: 4/55
Q: What is prob of picking 1 d and 2 y when three letters picked without replacement from zyyyyeed?
Derivation: 3/28
Q: Two letters picked without replacement from {r: 1, e: 2, d: 2, x: 1}. What is prob of picking 1 d and 1 r?
Derivation: 2/15
Q: Calculate prob of picking 1 k, 1 a, and 1 j when three letters picked without replacement from kccqjchhchaahka.
Derivation: 6/455
Q: What is prob of picking 2 d and 2 f when four letters picked without replacement from {z: 1, d: 10, h: 2, f: 3}?
Derivation: 27/364
Q: Four letters picked without replacement from {d: 9, k: 7}. What is prob of picking 3 d and 1 k?
Derivation: 21/65
Q: What is prob of picking 4 k when four letters picked without replacement from kkkukukk?
Derivation: 3/14
Q: Three letters picked without replacement from {i: 8, p: 1, m: 1, e: 6, o: 2}. Give prob of picking 1 m and 2 e.
Derivation: 5/272
Q: Two letters picked without replacement from chwpprp. Give prob of picking 2 p.
Derivation: 1/7
Q: What is prob of picking 1 q, 1 b, and 1 f when three letters picked without replacement from {q: 5, b: 1, f: 4, l: 5, x: 1}?
Derivation: 1/28
Q: Four letters picked without replacement from ooobobbo. What is prob of picking 1 b and 3 o?
Derivation: 3/7
Q: Two letters picked without replacement from {e: 6}. Give prob of picking 2 e.
Derivation: 1
Q: What is prob of picking 1 u and 1 c when two letters picked without replacement from nkxnckkucnnn?
Derivation: 1/33
Q: What is prob of picking 2 w when two letters picked without replacement from gwdfx?
Derivation: 0
Q: Three letters pic
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english
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probability: swr p level set
----------------------------
Puzzle: Four letters picked without replacement from {u: 3, b: 3, n: 6, o: 1, r: 1, v: 1}. What is prob of picking 1 r, 1 b, and 2 n?
Workthrough: 3/91
Puzzle: Three letters picked without replacement from sxeshhsehg. What is prob of picking 1 h, 1 x, and 1 g?
Workthrough: 1/40
Puzzle: Four letters picked without replacement from {s: 2, g: 1, f: 2, w: 4, n: 6}. What is prob of picking 2 n and 2 w?
Workthrough: 6/91
Puzzle: Two letters picked without replacement from uufffufuufufuxfuuu. Give prob of picking 1 u and 1 x.
Workthrough: 10/153
Puzzle: What is prob of picking 3 x when three letters picked without replacement from {f: 2, x: 5, h: 5}?
Workthrough: 1/22
Puzzle: Calculate prob of picking 1 b, 1 h, 1 v, and 1 n when four letters picked without replacement from {c: 4, b: 4, a: 1, v: 4, n: 1, h: 3}.
Workthrough: 12/595
Puzzle: Calculate prob of picking 2 s when two letters picked without replacement from spsssspsss.
Workthrough: 28/45
Puzzle: Two letters picked without replacement from {g: 5, u: 1, w: 6, s: 5, j: 1, t: 2}. What is prob of picking 2 g?
Workthrough: 1/19
Puzzle: Calculate prob of picking 1 b and 2 y when three letters picked without replacement from qjqbsyjbqjjqky.
Workthrough: 1/182
Puzzle: Three letters picked without replacement from {m: 4, d: 7}. Give prob of picking 3 d.
Workthrough: 7/33
Puzzle: Calculate prob of picking 3 e when three letters picked without replacement from {e: 9}.
Workthrough: 1
Puzzle: What is prob of picking 1 z and 1 p when two letters picked without replacement from {o: 2, y: 2, p: 1, v: 1, z: 1, i: 1}?
Workthrough: 1/28
Puzzle: Calculate prob of picking 1 r and 2 a when three letters picked without replacement from aguggaagqaraqrgrrr.
Workthrough: 25/408
Puzzle: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from kvvvvvvvvvvvvvvvvv.
Workthrough: 1/9
Puzzle: What is prob of picking 1 f and 2 n when three letters picked without
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measurement: conversion
-----------------------
Subquestion: What is 1/6 of a hour in minutes?
Math A: 10
Subquestion: How many years are there in 1/10 of a century?
Math A: 10
Subquestion: What is 3/8 of a litre in millilitres?
Math A: 375
Subquestion: How many millennia are there in 0.7298113 centuries?
Math A: 0.07298113
Subquestion: Convert 0.5690012 weeks to days.
Math A: 3.9830084
Subquestion: Convert 8901.9162 milliseconds to hours.
Math A: 0.0024727545
Subquestion: How many microseconds are there in 6/5 of a millisecond?
Math A: 1200
Subquestion: What is three tenths of a kilometer in meters?
Math A: 300
Subquestion: How many litres are there in 258.5174ml?
Math A: 0.2585174
Subquestion: How many nanometers are there in 401.1498 micrometers?
Math A: 401149.8
Subquestion: How many months are there in 13/5 of a century?
Math A: 3120
Subquestion: How many litres are there in 2.324601ml?
Math A: 0.002324601
Subquestion: What is one quarter of a second in milliseconds?
Math A: 250
Subquestion: What is 49/5 of a hour in minutes?
Math A: 588
Subquestion: How many tonnes are there in 7.198744kg?
Math A: 0.007198744
Subquestion: How many months are there in seven quarters of a decade?
Math A: 210
Subquestion: What is 6/25 of a kilogram in grams?
Math A: 240
Subquestion: What is 1764331.2ms in minutes?
Math A: 29.40552
Subquestion: What is one quarter of a milligram in micrograms?
Math A: 250
Subquestion: How many nanometers are there in 64543.78 centimeters?
Math A: 645437800000
Subquestion: What is 51.72239mm in meters?
Math A: 0.05172239
Subquestion: How many years are there in fourty-nine quarters of a century?
Math A: 1225
Subquestion: How many micrograms are there in twenty-five quarters of a milligram?
Math A: 6250
Subquestion: What is 2.0462 decades in months?
Math A: 245.544
Subquestion: What is thirty-seven fifths of a milligram in micrograms?
Math A: 7400
Subquestion: What is 51085.58 millilitres in litres?
Math A: 51.08558
Subquestion: How many weeks are t
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arithmetic: nearest integer root
--------------------------------
Let us solve: What is 85111888 to the power of 1/2, to the nearest integer?
Sol: 9226
Let us solve: What is 6798 to the power of 1/3, to the nearest integer?
Sol: 19
Let us solve: What is the third root of 19307 to the nearest integer?
Sol: 27
Let us solve: What is 525 to the power of 1/10, to the nearest integer?
Sol: 2
Let us solve: What is 19890943 to the power of 1/5, to the nearest integer?
Sol: 29
Let us solve: What is the square root of 368405104 to the nearest integer?
Sol: 19194
Let us solve: What is 196430 to the power of 1/8, to the nearest integer?
Sol: 5
Let us solve: What is the tenth root of 3348 to the nearest integer?
Sol: 2
Let us solve: What is 2213245 to the power of 1/2, to the nearest integer?
Sol: 1488
Let us solve: What is the cube root of 416526 to the nearest integer?
Sol: 75
Let us solve: What is the square root of 149904469 to the nearest integer?
Sol: 12244
Let us solve: What is the sixth root of 8799 to the nearest integer?
Sol: 5
Let us solve: What is the square root of 7977 to the nearest integer?
Sol: 89
Let us solve: What is the eighth root of 605038 to the nearest integer?
Sol: 5
Let us solve: What is 440701072 to the power of 1/6, to the nearest integer?
Sol: 28
Let us solve: What is the cube root of 9100 to the nearest integer?
Sol: 21
Let us solve: What is the third root of 73264738 to the nearest integer?
Sol: 418
Let us solve: What is the cube root of 160551812 to the nearest integer?
Sol: 544
Let us solve: What is the cube root of 3813403 to the nearest integer?
Sol: 156
Let us solve: What is 2399298843 to the power of 1/2, to the nearest integer?
Sol: 48983
Let us solve: What is the cube root of 17442357 to the nearest integer?
Sol: 259
Let us solve: What is 7025 to the power of 1/7, to the nearest integer?
Sol: 4
Let us solve: What is the ninth root of 504831 to the nearest integer?
Sol: 4
Let us solve: What is the cube root of 2487 to the nearest integer?
So
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measurement: conversion
-----------------------
Inquiry: How many grams are there in five quarters of a kilogram?
Output: 1250
Inquiry: What is three tenths of a centimeter in micrometers?
Output: 3000
Inquiry: How many months are there in 15/16 of a millennium?
Output: 11250
Inquiry: How many seconds are there in 1/60 of a week?
Output: 10080
Inquiry: What is 7.151714 hours in microseconds?
Output: 25746170400
Inquiry: What is 15/4 of a litre in millilitres?
Output: 3750
Inquiry: What is 3/10 of a centimeter in micrometers?
Output: 3000
Inquiry: How many months are there in 6.471712 millennia?
Output: 77660.544
Inquiry: How many centimeters are there in one quarter of a kilometer?
Output: 25000
Inquiry: How many millimeters are there in one sixteenth of a kilometer?
Output: 62500
Inquiry: How many months are there in 1/24 of a decade?
Output: 5
Inquiry: What is 35019.62ml in litres?
Output: 35.01962
Inquiry: What is 0.2116588g in milligrams?
Output: 211.6588
Inquiry: What is 952.9839 litres in millilitres?
Output: 952983.9
Inquiry: Convert 8255.425g to nanograms.
Output: 8255425000000
Inquiry: What is 983.383 decades in centuries?
Output: 98.3383
Inquiry: What is three tenths of a litre in millilitres?
Output: 300
Inquiry: How many decades are there in 1/4 of a millennium?
Output: 25
Inquiry: What is 9.493823 millennia in months?
Output: 113925.876
Inquiry: Convert 8.75948 years to centuries.
Output: 0.0875948
Inquiry: What is 92.27858nm in meters?
Output: 0.00000009227858
Inquiry: How many nanograms are there in 3/8 of a microgram?
Output: 375
Inquiry: How many kilograms are there in 9.71274g?
Output: 0.00971274
Inquiry: How many months are there in 3/32 of a millennium?
Output: 1125
Inquiry: How many millilitres are there in 446.0603 litres?
Output: 446060.3
Inquiry: Convert 82202.91 months to millennia.
Output: 6.8502425
Inquiry: How many millilitres are there in 5/4 of a litre?
Output: 1250
Inquiry: Convert 865.6373kg to milligrams.
Output: 865637300
Inquiry: W
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probability: swr p level set
----------------------------
Q-: Two letters picked without replacement from {y: 1, c: 1, b: 4, d: 2, n: 1}. What is prob of picking 1 b and 1 c?
Fix: 1/9
Q-: Two letters picked without replacement from {g: 1, o: 12, i: 2, z: 1, h: 3}. Give prob of picking 2 h.
Fix: 1/57
Q-: Two letters picked without replacement from {e: 1, p: 14}. What is prob of picking 2 e?
Fix: 0
Q-: Four letters picked without replacement from {h: 2, u: 2, r: 3, s: 1, w: 9, c: 3}. Give prob of picking 1 r, 2 w, and 1 s.
Fix: 36/1615
Q-: Two letters picked without replacement from {n: 6, c: 2, p: 1, o: 2}. What is prob of picking 2 n?
Fix: 3/11
Q-: What is prob of picking 1 o, 1 n, and 1 w when three letters picked without replacement from kponw?
Fix: 1/10
Q-: What is prob of picking 2 g when two letters picked without replacement from {b: 15, g: 3}?
Fix: 1/51
Q-: Calculate prob of picking 4 p when four letters picked without replacement from {d: 6, p: 4}.
Fix: 1/210
Q-: Calculate prob of picking 1 m, 1 t, and 1 d when three letters picked without replacement from {s: 2, m: 2, t: 1, d: 2, p: 5, x: 1}.
Fix: 2/143
Q-: Four letters picked without replacement from {f: 3, b: 3}. Give prob of picking 3 f and 1 b.
Fix: 1/5
Q-: Three letters picked without replacement from pfpffffpfffpfpfffpf. Give prob of picking 3 f.
Fix: 286/969
Q-: Calculate prob of picking 2 n when two letters picked without replacement from nnnnnn.
Fix: 1
Q-: Three letters picked without replacement from {m: 5, x: 1, w: 3, j: 1}. Give prob of picking 1 j, 1 w, and 1 m.
Fix: 1/8
Q-: Calculate prob of picking 1 x, 1 g, and 1 a when three letters picked without replacement from aggxgaxxaga.
Fix: 16/55
Q-: Two letters picked without replacement from {b: 14, q: 5}. What is prob of picking 1 q and 1 b?
Fix: 70/171
Q-: Four letters picked without replacement from xxxxxxxxx. Give prob of picking 4 x.
Fix: 1
Q-: Three letters picked without replacement from {h: 2, v: 5}. What is prob of picking 1 h and 2 v?
Fi
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numbers: place value
--------------------
Test item: What is the thousands digit of 299949181?
Hence: 9
Test item: What is the hundreds digit of 189201?
Hence: 2
Test item: What is the ten millions digit of 2191298901?
Hence: 9
Test item: What is the units digit of 29448020?
Hence: 0
Test item: What is the hundreds digit of 46967?
Hence: 9
Test item: What is the tens digit of 330030892?
Hence: 9
Test item: What is the tens digit of 218812785?
Hence: 8
Test item: What is the ten thousands digit of 281549?
Hence: 8
Test item: What is the ten millions digit of 355161217?
Hence: 5
Test item: What is the millions digit of 72484606?
Hence: 2
Test item: What is the hundred millions digit of 133112986?
Hence: 1
Test item: What is the hundreds digit of 587?
Hence: 5
Test item: What is the hundreds digit of 2782987955?
Hence: 9
Test item: What is the units digit of 2508358628?
Hence: 8
Test item: What is the hundreds digit of 10475239?
Hence: 2
Test item: What is the units digit of 7875?
Hence: 5
Test item: What is the ten thousands digit of 8609948355?
Hence: 4
Test item: What is the ten millions digit of 240811912?
Hence: 4
Test item: What is the units digit of 5537837594?
Hence: 4
Test item: What is the millions digit of 143424238?
Hence: 3
Test item: What is the tens digit of 347904?
Hence: 0
Test item: What is the units digit of 549241316?
Hence: 6
Test item: What is the thousands digit of 400640?
Hence: 0
Test item: What is the units digit of 2771?
Hence: 1
Test item: What is the thousands digit of 1701?
Hence: 1
Test item: What is the units digit of 128443?
Hence: 3
Test item: What is the ten thousands digit of 12329?
Hence: 1
Test item: What is the ten millions digit of 289189520?
Hence: 8
Test item: What is the hundreds digit of 2062?
Hence: 0
Test item: What is the hundreds digit of 4994?
Hence: 9
Test item: What is the thousands digit of 42483?
Hence: 2
Test item: What is the units digit of 26591783?
Hence: 3
Test item: What is the hundreds digit of 36438643?
Hence
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arithmetic: nearest integer root
--------------------------------
Example: What is the third root of 629 to the nearest integer?
Solution: 9
Example: What is the cube root of 852471258 to the nearest integer?
Solution: 948
Example: What is the square root of 3507 to the nearest integer?
Solution: 59
Example: What is 292642 to the power of 1/6, to the nearest integer?
Solution: 8
Example: What is 8882286 to the power of 1/5, to the nearest integer?
Solution: 25
Example: What is the third root of 480178056 to the nearest integer?
Solution: 783
Example: What is the square root of 2299682198 to the nearest integer?
Solution: 47955
Example: What is 37497 to the power of 1/2, to the nearest integer?
Solution: 194
Example: What is the sixth root of 554 to the nearest integer?
Solution: 3
Example: What is 7967066 to the power of 1/7, to the nearest integer?
Solution: 10
Example: What is the seventh root of 71281461 to the nearest integer?
Solution: 13
Example: What is the cube root of 107768934 to the nearest integer?
Solution: 476
Example: What is 98257 to the power of 1/6, to the nearest integer?
Solution: 7
Example: What is the cube root of 152 to the nearest integer?
Solution: 5
Example: What is 2575228805 to the power of 1/8, to the nearest integer?
Solution: 15
Example: What is the fourth root of 23359323 to the nearest integer?
Solution: 70
Example: What is 2363 to the power of 1/6, to the nearest integer?
Solution: 4
Example: What is 4527 to the power of 1/6, to the nearest integer?
Solution: 4
Example: What is the third root of 4571 to the nearest integer?
Solution: 17
Example: What is the fourth root of 8078134 to the nearest integer?
Solution: 53
Example: What is the square root of 37533 to the nearest integer?
Solution: 194
Example: What is the square root of 30477121 to the nearest integer?
Solution: 5521
Example: What is 19624 to the power of 1/9, to the nearest integer?
Solution: 3
Example: What is 827855 to the power of 1/2, to the nearest integer?
Solution:
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probability: swr p sequence
---------------------------
Question: Calculate prob of sequence pkep when four letters picked without replacement from {k: 6, p: 3, e: 8, i: 2}.
Solution: 1/323
Question: Two letters picked without replacement from aaaafafafaaaaaff. What is prob of sequence fa?
Solution: 11/48
Question: Calculate prob of sequence yak when three letters picked without replacement from {k: 2, s: 7, y: 1, a: 4, v: 1}.
Solution: 4/1365
Question: What is prob of sequence shl when three letters picked without replacement from hhshl?
Solution: 1/20
Question: What is prob of sequence gy when two letters picked without replacement from bbgbybfbbbybbf?
Solution: 1/91
Question: Four letters picked without replacement from lelljllelljj. What is prob of sequence llje?
Solution: 7/330
Question: Two letters picked without replacement from {i: 3, a: 9}. What is prob of sequence ii?
Solution: 1/22
Question: Three letters picked without replacement from uyuufgvguuvvyga. What is prob of sequence uay?
Solution: 1/273
Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 3, u: 2}.
Solution: 3/10
Question: Three letters picked without replacement from aykjydda. Give prob of sequence aad.
Solution: 1/84
Question: Three letters picked without replacement from wwwgwwwwgwwww. What is prob of sequence gwg?
Solution: 1/78
Question: What is prob of sequence jooj when four letters picked without replacement from {j: 5, o: 2, s: 3}?
Solution: 1/126
Question: What is prob of sequence baa when three letters picked without replacement from rrgbbbbbgbabrbbrsmbb?
Solution: 0
Question: What is prob of sequence sses when four letters picked without replacement from {e: 3, s: 7}?
Solution: 1/8
Question: Calculate prob of sequence hhhh when four letters picked without replacement from phepeyjhyphejhhph.
Solution: 3/476
Question: Two letters picked without replacement from yjjyyyyj. Give prob of sequence jy.
Solution: 15/56
Question: Calculate prob of sequ
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arithmetic: nearest integer root
--------------------------------
Issue: What is 2872737 to the power of 1/8, to the nearest integer?
Key: 6
Issue: What is the fourth root of 2062778 to the nearest integer?
Key: 38
Issue: What is the third root of 5173328 to the nearest integer?
Key: 173
Issue: What is the square root of 1494103243 to the nearest integer?
Key: 38654
Issue: What is 1519459 to the power of 1/2, to the nearest integer?
Key: 1233
Issue: What is 10179728 to the power of 1/2, to the nearest integer?
Key: 3191
Issue: What is the square root of 22043962 to the nearest integer?
Key: 4695
Issue: What is 25551 to the power of 1/2, to the nearest integer?
Key: 160
Issue: What is 78718120 to the power of 1/4, to the nearest integer?
Key: 94
Issue: What is 497 to the power of 1/4, to the nearest integer?
Key: 5
Issue: What is 1182144 to the power of 1/2, to the nearest integer?
Key: 1087
Issue: What is 72232 to the power of 1/6, to the nearest integer?
Key: 6
Issue: What is the square root of 384596885 to the nearest integer?
Key: 19611
Issue: What is 14402 to the power of 1/2, to the nearest integer?
Key: 120
Issue: What is 171195576 to the power of 1/2, to the nearest integer?
Key: 13084
Issue: What is the cube root of 4045 to the nearest integer?
Key: 16
Issue: What is the square root of 461 to the nearest integer?
Key: 21
Issue: What is the square root of 4626 to the nearest integer?
Key: 68
Issue: What is the square root of 233345 to the nearest integer?
Key: 483
Issue: What is the fourth root of 3308223 to the nearest integer?
Key: 43
Issue: What is 344467189 to the power of 1/2, to the nearest integer?
Key: 18560
Issue: What is the third root of 390479 to the nearest integer?
Key: 73
Issue: What is the third root of 561657526 to the nearest integer?
Key: 825
Issue: What is 494274565 to the power of 1/3, to the nearest integer?
Key: 791
Issue: What is the cube root of 28105 to the nearest integer?
Key: 30
Issue: What is 30520692 to the power of 1/10, to the
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measurement: time
-----------------
Request: How many minutes are there between 4:50 AM and 9:16 AM?
Soln: 266
Request: What is 719 minutes before 4:57 AM?
Soln: 4:58 PM
Request: How many minutes are there between 8:20 AM and 9:13 AM?
Soln: 53
Request: What is 166 minutes after 10:50 PM?
Soln: 1:36 AM
Request: How many minutes are there between 5:55 PM and 10:20 PM?
Soln: 265
Request: What is 366 minutes after 12:24 PM?
Soln: 6:30 PM
Request: What is 36 minutes before 5:05 AM?
Soln: 4:29 AM
Request: What is 631 minutes after 4:16 PM?
Soln: 2:47 AM
Request: What is 591 minutes after 11:10 AM?
Soln: 9:01 PM
Request: How many minutes are there between 4:49 PM and 7:01 PM?
Soln: 132
Request: How many minutes are there between 11:11 PM and 11:05 AM?
Soln: 714
Request: What is 264 minutes after 7:37 AM?
Soln: 12:01 PM
Request: What is 420 minutes before 6:20 PM?
Soln: 11:20 AM
Request: How many minutes are there between 9:36 AM and 8:22 PM?
Soln: 646
Request: How many minutes are there between 5:21 AM and 11:32 AM?
Soln: 371
Request: What is 42 minutes after 7:17 PM?
Soln: 7:59 PM
Request: What is 313 minutes before 6:36 PM?
Soln: 1:23 PM
Request: What is 96 minutes after 7:26 AM?
Soln: 9:02 AM
Request: How many minutes are there between 6:10 AM and 12:05 PM?
Soln: 355
Request: How many minutes are there between 11:01 PM and 9:35 AM?
Soln: 634
Request: How many minutes are there between 2:34 AM and 2:03 PM?
Soln: 689
Request: What is 430 minutes before 2:57 PM?
Soln: 7:47 AM
Request: What is 98 minutes before 9:00 AM?
Soln: 7:22 AM
Request: What is 456 minutes after 1:22 PM?
Soln: 8:58 PM
Request: How many minutes are there between 11:00 AM and 3:20 PM?
Soln: 260
Request: What is 490 minutes before 11:48 PM?
Soln: 3:38 PM
Request: How many minutes are there between 1:47 AM and 12:49 PM?
Soln: 662
Request: What is 678 minutes before 9:29 AM?
Soln: 10:11 PM
Request: What is 687 minutes before 7:54 PM?
Soln: 8:27 AM
Request: How many minutes are there between 11:41 AM and 12
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probability: swr p level set
----------------------------
Challenge: Three letters picked without replacement from {i: 4, m: 2, t: 3, e: 1, s: 7}. Give prob of picking 1 t, 1 m, and 1 s.
Compute: 21/340
Challenge: Two letters picked without replacement from {s: 6, d: 3, f: 2, w: 1}. What is prob of picking 2 w?
Compute: 0
Challenge: Two letters picked without replacement from wwdd. What is prob of picking 2 d?
Compute: 1/6
Challenge: Calculate prob of picking 2 f when two letters picked without replacement from {o: 1, h: 3, f: 3}.
Compute: 1/7
Challenge: Two letters picked without replacement from {t: 2, a: 1, z: 1, d: 1, f: 1, r: 1}. Give prob of picking 1 t and 1 f.
Compute: 2/21
Challenge: Three letters picked without replacement from swsswsws. Give prob of picking 3 s.
Compute: 5/28
Challenge: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from kxljljjjjol.
Compute: 1/11
Challenge: Three letters picked without replacement from sooooss. What is prob of picking 3 s?
Compute: 1/35
Challenge: What is prob of picking 1 z, 1 f, 1 o, and 1 h when four letters picked without replacement from {j: 1, o: 1, z: 2, h: 1, k: 2, f: 1}?
Compute: 1/35
Challenge: Two letters picked without replacement from vuvvvvvnnivvu. What is prob of picking 1 u and 1 v?
Compute: 8/39
Challenge: Four letters picked without replacement from pqqqqqpqqqqqqpqqqqp. What is prob of picking 3 p and 1 q?
Compute: 5/323
Challenge: What is prob of picking 4 a when four letters picked without replacement from raarrraaaraaaaaara?
Compute: 11/68
Challenge: Calculate prob of picking 2 y and 2 u when four letters picked without replacement from ugyygugy.
Compute: 3/70
Challenge: Calculate prob of picking 1 w, 1 f, and 2 g when four letters picked without replacement from {c: 2, f: 2, w: 2, g: 3}.
Compute: 2/21
Challenge: What is prob of picking 2 r, 1 z, and 1 c when four letters picked without replacement from {r: 2, g: 2, c: 1, z: 1, q: 1, x: 7}?
Compute: 1/1001
Challenge
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numbers: gcd
------------
Exercise: What is the greatest common divisor of 1119 and 24?
Conclusion: 3
Exercise: Calculate the greatest common factor of 1170 and 10200255.
Conclusion: 195
Exercise: Calculate the highest common divisor of 45 and 72.
Conclusion: 9
Exercise: What is the greatest common factor of 15501034 and 2624?
Conclusion: 82
Exercise: Calculate the highest common divisor of 15593 and 1704667.
Conclusion: 503
Exercise: What is the greatest common divisor of 8201 and 1357?
Conclusion: 59
Exercise: Calculate the greatest common divisor of 987315 and 109375.
Conclusion: 35
Exercise: Calculate the greatest common divisor of 255 and 2190.
Conclusion: 15
Exercise: Calculate the greatest common factor of 532 and 476.
Conclusion: 28
Exercise: Calculate the greatest common divisor of 9600 and 73845120.
Conclusion: 1920
Exercise: Calculate the highest common divisor of 13 and 21047.
Conclusion: 13
Exercise: What is the greatest common factor of 1728 and 192672?
Conclusion: 864
Exercise: What is the greatest common divisor of 28 and 5677?
Conclusion: 7
Exercise: What is the greatest common factor of 266 and 79762?
Conclusion: 38
Exercise: What is the highest common divisor of 68954688 and 132?
Conclusion: 132
Exercise: Calculate the greatest common divisor of 1086 and 8255229.
Conclusion: 543
Exercise: What is the highest common factor of 72642 and 6?
Conclusion: 6
Exercise: What is the greatest common divisor of 13 and 33917?
Conclusion: 13
Exercise: What is the highest common divisor of 192 and 368484?
Conclusion: 12
Exercise: What is the greatest common factor of 328842297 and 13797?
Conclusion: 4599
Exercise: What is the greatest common divisor of 2338866 and 1584?
Conclusion: 18
Exercise: What is the highest common factor of 174 and 638?
Conclusion: 58
Exercise: What is the highest common divisor of 99330590 and 40?
Conclusion: 10
Exercise: What is the highest common divisor of 254955 and 506?
Conclusion: 23
Exercise: Calculate the greatest common factor o
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english
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numbers: div remainder
----------------------
Input: Calculate the remainder when 105 is divided by 50.
Conclusion: 5
Input: Calculate the remainder when 322 is divided by 5.
Conclusion: 2
Input: Calculate the remainder when 1179882 is divided by 196647.
Conclusion: 0
Input: Calculate the remainder when 257 is divided by 43.
Conclusion: 42
Input: What is the remainder when 1966 is divided by 71?
Conclusion: 49
Input: What is the remainder when 53 is divided by 6?
Conclusion: 5
Input: What is the remainder when 267562287 is divided by 1541?
Conclusion: 1539
Input: What is the remainder when 953 is divided by 11?
Conclusion: 7
Input: What is the remainder when 194 is divided by 107?
Conclusion: 87
Input: What is the remainder when 10507 is divided by 1056?
Conclusion: 1003
Input: Calculate the remainder when 1464752 is divided by 54250.
Conclusion: 2
Input: What is the remainder when 2290707 is divided by 1145232?
Conclusion: 243
Input: Calculate the remainder when 617 is divided by 104.
Conclusion: 97
Input: Calculate the remainder when 4699624 is divided by 5964.
Conclusion: 5956
Input: Calculate the remainder when 40801070 is divided by 522.
Conclusion: 506
Input: Calculate the remainder when 227 is divided by 8.
Conclusion: 3
Input: What is the remainder when 274580 is divided by 2347?
Conclusion: 2328
Input: What is the remainder when 139 is divided by 10?
Conclusion: 9
Input: What is the remainder when 3034 is divided by 76?
Conclusion: 70
Input: Calculate the remainder when 13279 is divided by 16.
Conclusion: 15
Input: What is the remainder when 9652969 is divided by 1930591?
Conclusion: 14
Input: Calculate the remainder when 23755 is divided by 5911.
Conclusion: 111
Input: Calculate the remainder when 117 is divided by 27.
Conclusion: 9
Input: Calculate the remainder when 120494 is divided by 120212.
Conclusion: 282
Input: Calculate the remainder when 266 is divided by 116.
Conclusion: 34
Input: What is the remainder when 11018 is divided by 16?
Conclusion: 10
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english
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arithmetic: nearest integer root
--------------------------------
Q=: What is the square root of 36298909 to the nearest integer?
Calculation: 6025
Q=: What is 506181 to the power of 1/7, to the nearest integer?
Calculation: 7
Q=: What is 18154 to the power of 1/3, to the nearest integer?
Calculation: 26
Q=: What is 164124 to the power of 1/2, to the nearest integer?
Calculation: 405
Q=: What is 35348 to the power of 1/4, to the nearest integer?
Calculation: 14
Q=: What is 9112 to the power of 1/9, to the nearest integer?
Calculation: 3
Q=: What is the ninth root of 16497 to the nearest integer?
Calculation: 3
Q=: What is the square root of 682 to the nearest integer?
Calculation: 26
Q=: What is 311495430 to the power of 1/5, to the nearest integer?
Calculation: 50
Q=: What is the square root of 2391529 to the nearest integer?
Calculation: 1546
Q=: What is 559 to the power of 1/2, to the nearest integer?
Calculation: 24
Q=: What is the third root of 152935 to the nearest integer?
Calculation: 53
Q=: What is 98265315 to the power of 1/4, to the nearest integer?
Calculation: 100
Q=: What is the cube root of 127828 to the nearest integer?
Calculation: 50
Q=: What is the tenth root of 28692405 to the nearest integer?
Calculation: 6
Q=: What is 14231005 to the power of 1/2, to the nearest integer?
Calculation: 3772
Q=: What is 11375961 to the power of 1/2, to the nearest integer?
Calculation: 3373
Q=: What is the square root of 1255 to the nearest integer?
Calculation: 35
Q=: What is 309140 to the power of 1/4, to the nearest integer?
Calculation: 24
Q=: What is the sixth root of 3922107 to the nearest integer?
Calculation: 13
Q=: What is 11955 to the power of 1/3, to the nearest integer?
Calculation: 23
Q=: What is 32817 to the power of 1/3, to the nearest integer?
Calculation: 32
Q=: What is 56968 to the power of 1/9, to the nearest integer?
Calculation: 3
Q=: What is the third root of 4436519244 to the nearest integer?
Calculation: 1643
Q=: What is 98 to the power of
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numbers: gcd
------------
Item: What is the greatest common divisor of 596 and 1639?
Soln: 149
Item: What is the greatest common factor of 399911875 and 165?
Soln: 55
Item: What is the greatest common factor of 5273715 and 25755?
Soln: 1515
Item: What is the highest common factor of 876244 and 7485?
Soln: 499
Item: Calculate the greatest common divisor of 9906795 and 135.
Soln: 45
Item: Calculate the highest common divisor of 3968 and 31.
Soln: 31
Item: What is the highest common divisor of 12 and 942?
Soln: 6
Item: Calculate the highest common factor of 11431125 and 750.
Soln: 375
Item: Calculate the highest common factor of 512294256 and 24.
Soln: 24
Item: Calculate the greatest common factor of 36562437 and 171.
Soln: 9
Item: Calculate the greatest common divisor of 94 and 4631850.
Soln: 94
Item: Calculate the highest common factor of 9 and 5085.
Soln: 9
Item: Calculate the greatest common divisor of 191 and 103331.
Soln: 191
Item: Calculate the greatest common divisor of 259870 and 21555.
Soln: 5
Item: What is the greatest common factor of 67895 and 415?
Soln: 5
Item: What is the greatest common factor of 320 and 1660?
Soln: 20
Item: Calculate the greatest common factor of 57 and 2161557.
Soln: 3
Item: What is the highest common divisor of 352 and 7904?
Soln: 32
Item: Calculate the greatest common factor of 143 and 3289.
Soln: 143
Item: What is the highest common factor of 224 and 308?
Soln: 28
Item: What is the highest common divisor of 32 and 500?
Soln: 4
Item: Calculate the highest common factor of 104 and 273.
Soln: 13
Item: Calculate the greatest common factor of 763181 and 170.
Soln: 17
Item: Calculate the greatest common divisor of 8082 and 72.
Soln: 18
Item: Calculate the greatest common divisor of 12 and 42969232.
Soln: 4
Item: What is the greatest common factor of 33452394 and 18?
Soln: 6
Item: What is the highest common divisor of 602 and 28?
Soln: 14
Item: What is the greatest common factor of 176 and 904288?
Soln: 176
Item: What is the highest commo
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numbers: place value
--------------------
Q-: What is the ten thousands digit of 230467?
Answer: 3
Q-: What is the hundred thousands digit of 1276869255?
Answer: 8
Q-: What is the thousands digit of 7543?
Answer: 7
Q-: What is the hundreds digit of 15786083?
Answer: 0
Q-: What is the hundred millions digit of 146862696?
Answer: 1
Q-: What is the thousands digit of 62422?
Answer: 2
Q-: What is the tens digit of 46675?
Answer: 7
Q-: What is the millions digit of 230961863?
Answer: 0
Q-: What is the thousands digit of 70488?
Answer: 0
Q-: What is the hundred thousands digit of 18113627?
Answer: 1
Q-: What is the hundreds digit of 5760?
Answer: 7
Q-: What is the thousands digit of 407838377?
Answer: 8
Q-: What is the ten millions digit of 17312233?
Answer: 1
Q-: What is the ten thousands digit of 47348?
Answer: 4
Q-: What is the ten millions digit of 4061785702?
Answer: 6
Q-: What is the ten thousands digit of 378479?
Answer: 7
Q-: What is the hundred thousands digit of 3802602473?
Answer: 6
Q-: What is the thousands digit of 73740855?
Answer: 0
Q-: What is the units digit of 13588901?
Answer: 1
Q-: What is the tens digit of 4307?
Answer: 0
Q-: What is the millions digit of 18807640?
Answer: 8
Q-: What is the hundred thousands digit of 312830055?
Answer: 8
Q-: What is the thousands digit of 310586939?
Answer: 6
Q-: What is the thousands digit of 9732?
Answer: 9
Q-: What is the ten millions digit of 926288910?
Answer: 2
Q-: What is the units digit of 1088?
Answer: 8
Q-: What is the hundred thousands digit of 375146?
Answer: 3
Q-: What is the tens digit of 777?
Answer: 7
Q-: What is the hundred thousands digit of 329409?
Answer: 3
Q-: What is the hundred thousands digit of 809817?
Answer: 8
Q-: What is the millions digit of 5386567582?
Answer: 6
Q-: What is the millions digit of 255247386?
Answer: 5
Q-: What is the hundreds digit of 224?
Answer: 2
Q-: What is the tens digit of 1562?
Answer: 6
Q-: What is the ten millions digit of 57934511?
Answer: 5
Q-: What is the tens d
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probability: swr p sequence
---------------------------
Q-: Calculate prob of sequence yt when two letters picked without replacement from {y: 3, b: 1, t: 3}.
Eval: 3/14
Q-: Calculate prob of sequence hw when two letters picked without replacement from {w: 8, h: 2, g: 2}.
Eval: 4/33
Q-: Four letters picked without replacement from stifsii. Give prob of sequence fsit.
Eval: 1/140
Q-: Four letters picked without replacement from {v: 9, y: 3}. What is prob of sequence yyvv?
Eval: 2/55
Q-: What is prob of sequence ycxz when four letters picked without replacement from yzzjlxc?
Eval: 1/420
Q-: Calculate prob of sequence rww when three letters picked without replacement from {c: 4, r: 1, q: 1, w: 2}.
Eval: 1/168
Q-: Two letters picked without replacement from xbxbqbaaaatxbaay. What is prob of sequence yb?
Eval: 1/60
Q-: Calculate prob of sequence fh when two letters picked without replacement from uhfimif.
Eval: 1/21
Q-: Calculate prob of sequence aiz when three letters picked without replacement from {a: 11, i: 1, p: 2, z: 2}.
Eval: 11/1680
Q-: Calculate prob of sequence ve when two letters picked without replacement from edgvz.
Eval: 1/20
Q-: What is prob of sequence do when two letters picked without replacement from {o: 1, h: 1, c: 1, j: 1, d: 1}?
Eval: 1/20
Q-: Four letters picked without replacement from {b: 3, o: 2, l: 2, x: 2, y: 2, g: 1}. What is prob of sequence ollg?
Eval: 1/2970
Q-: What is prob of sequence ycc when three letters picked without replacement from yycyyccyyyy?
Eval: 8/165
Q-: Four letters picked without replacement from {m: 15, h: 4}. Give prob of sequence hmmh.
Eval: 35/1292
Q-: What is prob of sequence zbb when three letters picked without replacement from zbozoobsogsb?
Eval: 1/110
Q-: Three letters picked without replacement from {w: 4, m: 1, n: 6, e: 4}. What is prob of sequence mee?
Eval: 2/455
Q-: What is prob of sequence bb when two letters picked without replacement from {b: 3, y: 15}?
Eval: 1/51
Q-: Calculate prob of sequence iqq when th
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probability: swr p sequence
---------------------------
Task: Calculate prob of sequence rur when three letters picked without replacement from nurunuunnrnrnr.
Workthrough: 2/91
Task: Four letters picked without replacement from {i: 5, b: 3, a: 5, g: 2, u: 4, p: 1}. Give prob of sequence gaib.
Workthrough: 5/3876
Task: Two letters picked without replacement from {u: 1, w: 5, n: 1, q: 12}. What is prob of sequence qn?
Workthrough: 2/57
Task: Calculate prob of sequence xs when two letters picked without replacement from xvvvgvvvxxdsgsssvvg.
Workthrough: 2/57
Task: Two letters picked without replacement from {f: 2, x: 1, u: 1, l: 1}. Give prob of sequence xl.
Workthrough: 1/20
Task: What is prob of sequence qoqq when four letters picked without replacement from {o: 8, l: 1, q: 4}?
Workthrough: 8/715
Task: Three letters picked without replacement from uqcqhqqqcquui. Give prob of sequence hcu.
Workthrough: 1/286
Task: Calculate prob of sequence lll when three letters picked without replacement from {l: 6, k: 7}.
Workthrough: 10/143
Task: What is prob of sequence uf when two letters picked without replacement from cwwfcucccwucuccucu?
Workthrough: 5/306
Task: What is prob of sequence dmdd when four letters picked without replacement from {h: 2, v: 2, d: 8, m: 2, s: 1, k: 2}?
Workthrough: 1/85
Task: Two letters picked without replacement from {r: 7, h: 2, e: 3, n: 3, c: 5}. What is prob of sequence ce?
Workthrough: 3/76
Task: Calculate prob of sequence bunn when four letters picked without replacement from cbnubnn.
Workthrough: 1/70
Task: What is prob of sequence vov when three letters picked without replacement from oomooooovvovmqqqomqq?
Workthrough: 3/380
Task: Three letters picked without replacement from {t: 5, y: 11}. What is prob of sequence tyy?
Workthrough: 55/336
Task: Calculate prob of sequence jnn when three letters picked without replacement from nnnjj.
Workthrough: 1/5
Task: What is prob of sequence pp when two letters picked without replacement from pppp?
Work
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english
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arithmetic: nearest integer root
--------------------------------
Ask: What is the square root of 4230 to the nearest integer?
Eval: 65
Ask: What is 1995890 to the power of 1/2, to the nearest integer?
Eval: 1413
Ask: What is 4093 to the power of 1/4, to the nearest integer?
Eval: 8
Ask: What is the third root of 899 to the nearest integer?
Eval: 10
Ask: What is 81907 to the power of 1/3, to the nearest integer?
Eval: 43
Ask: What is 217807067 to the power of 1/3, to the nearest integer?
Eval: 602
Ask: What is 10484896 to the power of 1/2, to the nearest integer?
Eval: 3238
Ask: What is 17051 to the power of 1/5, to the nearest integer?
Eval: 7
Ask: What is 200159 to the power of 1/3, to the nearest integer?
Eval: 58
Ask: What is 493352 to the power of 1/6, to the nearest integer?
Eval: 9
Ask: What is the square root of 6790313 to the nearest integer?
Eval: 2606
Ask: What is 81278 to the power of 1/3, to the nearest integer?
Eval: 43
Ask: What is the eighth root of 96015 to the nearest integer?
Eval: 4
Ask: What is the square root of 156341 to the nearest integer?
Eval: 395
Ask: What is 5284751000 to the power of 1/5, to the nearest integer?
Eval: 88
Ask: What is 1087193 to the power of 1/9, to the nearest integer?
Eval: 5
Ask: What is the third root of 2132 to the nearest integer?
Eval: 13
Ask: What is the seventh root of 32522 to the nearest integer?
Eval: 4
Ask: What is 64413636 to the power of 1/10, to the nearest integer?
Eval: 6
Ask: What is 5751418 to the power of 1/9, to the nearest integer?
Eval: 6
Ask: What is 34342 to the power of 1/10, to the nearest integer?
Eval: 3
Ask: What is the third root of 770088 to the nearest integer?
Eval: 92
Ask: What is 1847722 to the power of 1/4, to the nearest integer?
Eval: 37
Ask: What is 11473 to the power of 1/10, to the nearest integer?
Eval: 3
Ask: What is the cube root of 99085 to the nearest integer?
Eval: 46
Ask: What is the square root of 2559110622 to the nearest integer?
Eval: 50588
Ask: What is the third root
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probability: swr p level set
----------------------------
Q): Three letters picked without replacement from {x: 2, c: 18}. Give prob of picking 1 c and 2 x.
Answer: 3/190
Q): What is prob of picking 1 u, 1 b, and 2 a when four letters picked without replacement from ufabauwfuawuwauuw?
Answer: 9/595
Q): Three letters picked without replacement from {v: 4, m: 14}. Give prob of picking 1 m and 2 v.
Answer: 7/68
Q): Four letters picked without replacement from {s: 7, p: 2}. What is prob of picking 2 s and 2 p?
Answer: 1/6
Q): Calculate prob of picking 2 r, 1 j, and 1 d when four letters picked without replacement from grjrgjjrdj.
Answer: 2/35
Q): Three letters picked without replacement from {t: 10, s: 1, p: 7}. Give prob of picking 2 t and 1 s.
Answer: 15/272
Q): Two letters picked without replacement from {r: 5, f: 6, b: 3, x: 3, u: 1}. Give prob of picking 1 r and 1 u.
Answer: 5/153
Q): Four letters picked without replacement from {w: 16, r: 2}. Give prob of picking 3 w and 1 r.
Answer: 56/153
Q): Three letters picked without replacement from {f: 2, u: 1, v: 1, s: 1}. What is prob of picking 1 s, 1 u, and 1 f?
Answer: 1/5
Q): Four letters picked without replacement from {u: 10}. What is prob of picking 4 u?
Answer: 1
Q): Calculate prob of picking 3 n and 1 o when four letters picked without replacement from njnando.
Answer: 1/35
Q): Two letters picked without replacement from {t: 5}. Give prob of picking 2 t.
Answer: 1
Q): What is prob of picking 1 l and 1 d when two letters picked without replacement from spsldps?
Answer: 1/21
Q): Two letters picked without replacement from {q: 1, v: 1, i: 2}. Give prob of picking 2 i.
Answer: 1/6
Q): Calculate prob of picking 2 c and 1 f when three letters picked without replacement from {s: 9, f: 10, c: 1}.
Answer: 0
Q): Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {t: 5, v: 13}.
Answer: 65/153
Q): Calculate prob of picking 3 b when three letters picked without replacement from {b: 3, l: 7
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english
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arithmetic: nearest integer root
--------------------------------
Input: What is the cube root of 258673 to the nearest integer?
Clarification: 64
Input: What is 277230 to the power of 1/6, to the nearest integer?
Clarification: 8
Input: What is the square root of 2429031 to the nearest integer?
Clarification: 1559
Input: What is the cube root of 2263 to the nearest integer?
Clarification: 13
Input: What is the fifth root of 1257089973 to the nearest integer?
Clarification: 66
Input: What is the tenth root of 2585 to the nearest integer?
Clarification: 2
Input: What is 866808 to the power of 1/2, to the nearest integer?
Clarification: 931
Input: What is 602 to the power of 1/2, to the nearest integer?
Clarification: 25
Input: What is 10905 to the power of 1/3, to the nearest integer?
Clarification: 22
Input: What is 17 to the power of 1/6, to the nearest integer?
Clarification: 2
Input: What is 17733379 to the power of 1/2, to the nearest integer?
Clarification: 4211
Input: What is the square root of 5065 to the nearest integer?
Clarification: 71
Input: What is 2584 to the power of 1/9, to the nearest integer?
Clarification: 2
Input: What is the fifth root of 2333647070 to the nearest integer?
Clarification: 75
Input: What is 593589188 to the power of 1/5, to the nearest integer?
Clarification: 57
Input: What is 44917376 to the power of 1/6, to the nearest integer?
Clarification: 19
Input: What is the fourth root of 9295986 to the nearest integer?
Clarification: 55
Input: What is the cube root of 489318 to the nearest integer?
Clarification: 79
Input: What is the square root of 4226 to the nearest integer?
Clarification: 65
Input: What is 120183 to the power of 1/2, to the nearest integer?
Clarification: 347
Input: What is the square root of 377865 to the nearest integer?
Clarification: 615
Input: What is the third root of 2343 to the nearest integer?
Clarification: 13
Input: What is 83035 to the power of 1/2, to the nearest integer?
Clarification: 288
Input: What i
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english
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numbers: gcd
------------
Scenario: Calculate the highest common factor of 7020 and 322855.
A: 65
Scenario: Calculate the highest common factor of 10475828 and 1111.
A: 11
Scenario: What is the highest common divisor of 25675 and 349375?
A: 325
Scenario: Calculate the greatest common divisor of 1128 and 72.
A: 24
Scenario: Calculate the highest common divisor of 143 and 22.
A: 11
Scenario: What is the highest common divisor of 14649 and 72960?
A: 57
Scenario: What is the greatest common divisor of 2139 and 4485?
A: 69
Scenario: What is the highest common divisor of 209 and 1045?
A: 209
Scenario: What is the highest common factor of 42 and 1610?
A: 14
Scenario: What is the highest common divisor of 38947 and 10385538?
A: 493
Scenario: Calculate the highest common factor of 31740 and 290.
A: 10
Scenario: Calculate the greatest common divisor of 115 and 414.
A: 23
Scenario: Calculate the highest common divisor of 28 and 148.
A: 4
Scenario: Calculate the greatest common divisor of 755 and 65408217.
A: 151
Scenario: Calculate the greatest common factor of 392560 and 175.
A: 35
Scenario: Calculate the greatest common factor of 4763 and 649.
A: 11
Scenario: Calculate the greatest common divisor of 14744 and 4028.
A: 76
Scenario: What is the highest common factor of 7105 and 2699375?
A: 35
Scenario: What is the highest common factor of 155 and 40?
A: 5
Scenario: What is the highest common divisor of 112 and 1211?
A: 7
Scenario: What is the greatest common factor of 34946 and 85042?
A: 202
Scenario: Calculate the highest common divisor of 4402 and 13142526.
A: 142
Scenario: What is the highest common factor of 79581885 and 530?
A: 265
Scenario: Calculate the greatest common divisor of 100 and 19252850.
A: 50
Scenario: What is the highest common factor of 1476 and 1692?
A: 36
Scenario: What is the highest common divisor of 16020 and 2340?
A: 180
Scenario: What is the greatest common divisor of 9770 and 372810499?
A: 977
Scenario: Calculate the greatest common divisor of 2565
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english
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numbers: div remainder
----------------------
Subject: Calculate the remainder when 301 is divided by 17.
→: 12
Subject: Calculate the remainder when 1466 is divided by 7.
→: 3
Subject: Calculate the remainder when 16910 is divided by 9818.
→: 7092
Subject: Calculate the remainder when 28972119 is divided by 1609561.
→: 21
Subject: What is the remainder when 15 is divided by 7?
→: 1
Subject: What is the remainder when 332 is divided by 90?
→: 62
Subject: What is the remainder when 900713 is divided by 12?
→: 5
Subject: Calculate the remainder when 2816163 is divided by 97105.
→: 118
Subject: What is the remainder when 2252 is divided by 379?
→: 357
Subject: Calculate the remainder when 10939 is divided by 122.
→: 81
Subject: Calculate the remainder when 2537057 is divided by 235.
→: 232
Subject: What is the remainder when 88157 is divided by 58?
→: 55
Subject: What is the remainder when 2052 is divided by 103?
→: 95
Subject: Calculate the remainder when 106 is divided by 86.
→: 20
Subject: What is the remainder when 167260 is divided by 2571?
→: 145
Subject: What is the remainder when 1335847 is divided by 10927?
→: 2753
Subject: Calculate the remainder when 338428 is divided by 870.
→: 868
Subject: Calculate the remainder when 195 is divided by 40.
→: 35
Subject: What is the remainder when 642 is divided by 23?
→: 21
Subject: What is the remainder when 2260523 is divided by 2260483?
→: 40
Subject: What is the remainder when 20686 is divided by 1376?
→: 46
Subject: What is the remainder when 7422 is divided by 135?
→: 132
Subject: What is the remainder when 130 is divided by 106?
→: 24
Subject: What is the remainder when 81400 is divided by 27132?
→: 4
Subject: Calculate the remainder when 24900426 is divided by 889300.
→: 26
Subject: What is the remainder when 14641 is divided by 638?
→: 605
Subject: What is the remainder when 9817499 is divided by 220?
→: 219
Subject: What is the remainder when 467 is divided by 95?
→: 87
Subject: Calculate the remainder when 199
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english
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arithmetic: nearest integer root
--------------------------------
Ask: What is the cube root of 6365 to the nearest integer?
Finding: 19
Ask: What is the third root of 7378 to the nearest integer?
Finding: 19
Ask: What is the square root of 908383231 to the nearest integer?
Finding: 30139
Ask: What is 21160 to the power of 1/2, to the nearest integer?
Finding: 145
Ask: What is 59 to the power of 1/3, to the nearest integer?
Finding: 4
Ask: What is 1487760797 to the power of 1/3, to the nearest integer?
Finding: 1142
Ask: What is 707457 to the power of 1/2, to the nearest integer?
Finding: 841
Ask: What is 2045364 to the power of 1/9, to the nearest integer?
Finding: 5
Ask: What is the cube root of 406521 to the nearest integer?
Finding: 74
Ask: What is the third root of 637740 to the nearest integer?
Finding: 86
Ask: What is 221786693 to the power of 1/8, to the nearest integer?
Finding: 11
Ask: What is the cube root of 25027 to the nearest integer?
Finding: 29
Ask: What is the square root of 10764653 to the nearest integer?
Finding: 3281
Ask: What is 37694183 to the power of 1/5, to the nearest integer?
Finding: 33
Ask: What is the ninth root of 183 to the nearest integer?
Finding: 2
Ask: What is the seventh root of 15091280 to the nearest integer?
Finding: 11
Ask: What is the third root of 28483 to the nearest integer?
Finding: 31
Ask: What is 140438 to the power of 1/6, to the nearest integer?
Finding: 7
Ask: What is the cube root of 46025 to the nearest integer?
Finding: 36
Ask: What is the square root of 1393 to the nearest integer?
Finding: 37
Ask: What is the third root of 1256 to the nearest integer?
Finding: 11
Ask: What is the square root of 549607 to the nearest integer?
Finding: 741
Ask: What is 16068661 to the power of 1/2, to the nearest integer?
Finding: 4009
Ask: What is the ninth root of 13868 to the nearest integer?
Finding: 3
Ask: What is 2226608 to the power of 1/10, to the nearest integer?
Finding: 4
Ask: What is 2856102 to the power of 1/6, to
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english
|
numbers: lcm
------------
Statement: Calculate the lowest common multiple of 7 and 32.
Solution: 224
Statement: What is the least common multiple of 10 and 78?
Solution: 390
Statement: What is the common denominator of 121/96 and -17/3134560?
Solution: 9403680
Statement: Calculate the least common multiple of 3150 and 630.
Solution: 3150
Statement: What is the lowest common multiple of 468 and 36?
Solution: 468
Statement: Calculate the smallest common multiple of 2344 and 40.
Solution: 11720
Statement: Find the common denominator of 29/170 and -17/90.
Solution: 1530
Statement: What is the common denominator of 97/150 and 31/120?
Solution: 600
Statement: Calculate the smallest common multiple of 6431093 and 38586558.
Solution: 38586558
Statement: What is the common denominator of -131/336 and 167/18102?
Solution: 144816
Statement: Calculate the lowest common multiple of 1239 and 6.
Solution: 2478
Statement: What is the common denominator of -19/6405810 and 37/115420?
Solution: 12811620
Statement: Calculate the common denominator of -15/3294044 and -107/10.
Solution: 16470220
Statement: Calculate the common denominator of 61/860 and -3/14620.
Solution: 14620
Statement: What is the lowest common multiple of 37710365 and 369?
Solution: 339393285
Statement: What is the lowest common multiple of 33 and 96?
Solution: 1056
Statement: Calculate the lowest common multiple of 86 and 43.
Solution: 86
Statement: Calculate the common denominator of -131/1590 and 139/1980.
Solution: 104940
Statement: Calculate the common denominator of -81/598780 and -51/2982056.
Solution: 1356835480
Statement: What is the least common multiple of 541982 and 154852?
Solution: 1083964
Statement: What is the least common multiple of 30 and 270?
Solution: 270
Statement: What is the smallest common multiple of 12 and 6?
Solution: 12
Statement: What is the common denominator of -99/2 and 57/130?
Solution: 130
Statement: Calculate the smallest common multiple of 15 and 8930.
Solution: 26790
Statement: W
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english
|
numbers: is factor
------------------
Scenario: Is 364 a factor of 231922?
Calculation: False
Scenario: Does 18 divide 2214?
Calculation: True
Scenario: Does 114 divide 206718?
Calculation: False
Scenario: Is 36340 a multiple of 46?
Calculation: True
Scenario: Does 28 divide 346416?
Calculation: True
Scenario: Is 3 a factor of 21731926?
Calculation: False
Scenario: Does 98 divide 374556?
Calculation: True
Scenario: Is 292724461 a multiple of 631?
Calculation: False
Scenario: Is 72827 a multiple of 23?
Calculation: False
Scenario: Does 10 divide 21429770?
Calculation: True
Scenario: Is 534083650 a multiple of 1849?
Calculation: True
Scenario: Is 420465192 a multiple of 427?
Calculation: True
Scenario: Is 564288 a multiple of 71?
Calculation: False
Scenario: Does 4 divide 10100?
Calculation: True
Scenario: Does 132 divide 1038689520?
Calculation: True
Scenario: Is 420 a factor of 7000067?
Calculation: False
Scenario: Is 109 a factor of 615847?
Calculation: False
Scenario: Is 236 a factor of 13216?
Calculation: True
Scenario: Does 72 divide 21456?
Calculation: True
Scenario: Is 18862 a multiple of 25?
Calculation: False
Scenario: Is 1190601 a multiple of 14?
Calculation: False
Scenario: Is 74339713 a multiple of 261?
Calculation: False
Scenario: Does 380 divide 307420?
Calculation: True
Scenario: Does 12 divide 245368749?
Calculation: False
Scenario: Is 262 a factor of 190348633?
Calculation: False
Scenario: Does 27 divide 2169724401?
Calculation: True
Scenario: Is 23 a factor of 2017827?
Calculation: False
Scenario: Is 41723276 a multiple of 7?
Calculation: True
Scenario: Does 3 divide 8745?
Calculation: True
Scenario: Does 1217 divide 1001769268?
Calculation: False
Scenario: Does 65 divide 2485?
Calculation: False
Scenario: Is 72 a factor of 125012448?
Calculation: True
Scenario: Is 209825 a multiple of 11?
Calculation: True
Scenario: Is 139 a factor of 353894?
Calculation: True
Scenario: Is 37488 a multiple of 51?
Calculation: False
Scenario: Is 8 a factor of 669675
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english
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arithmetic: nearest integer root
--------------------------------
Q=: What is 1591234206 to the power of 1/2, to the nearest integer?
Therefore: 39890
Q=: What is the third root of 24703286 to the nearest integer?
Therefore: 291
Q=: What is the cube root of 48562 to the nearest integer?
Therefore: 36
Q=: What is the sixth root of 28477550 to the nearest integer?
Therefore: 17
Q=: What is 2586353 to the power of 1/7, to the nearest integer?
Therefore: 8
Q=: What is the eighth root of 444043576 to the nearest integer?
Therefore: 12
Q=: What is the cube root of 614592887 to the nearest integer?
Therefore: 850
Q=: What is 329803 to the power of 1/6, to the nearest integer?
Therefore: 8
Q=: What is 36383 to the power of 1/2, to the nearest integer?
Therefore: 191
Q=: What is the third root of 96074 to the nearest integer?
Therefore: 46
Q=: What is 1868448758 to the power of 1/3, to the nearest integer?
Therefore: 1232
Q=: What is the tenth root of 63839736 to the nearest integer?
Therefore: 6
Q=: What is 833 to the power of 1/9, to the nearest integer?
Therefore: 2
Q=: What is the seventh root of 502428 to the nearest integer?
Therefore: 7
Q=: What is 310356 to the power of 1/3, to the nearest integer?
Therefore: 68
Q=: What is 4690302939 to the power of 1/5, to the nearest integer?
Therefore: 86
Q=: What is the cube root of 648491413 to the nearest integer?
Therefore: 866
Q=: What is the square root of 1488 to the nearest integer?
Therefore: 39
Q=: What is 2197 to the power of 1/7, to the nearest integer?
Therefore: 3
Q=: What is the square root of 1182857026 to the nearest integer?
Therefore: 34393
Q=: What is 595929 to the power of 1/3, to the nearest integer?
Therefore: 84
Q=: What is 10114184 to the power of 1/2, to the nearest integer?
Therefore: 3180
Q=: What is 198744 to the power of 1/2, to the nearest integer?
Therefore: 446
Q=: What is the square root of 190832658 to the nearest integer?
Therefore: 13814
Q=: What is 925927 to the power of 1/4, to the nearest i
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measurement: conversion
-----------------------
Prompt: What is one quarter of a decade in months?
Soln: 30
Prompt: What is fifty-nine fifths of a litre in millilitres?
Soln: 11800
Prompt: How many litres are there in 67078.19ml?
Soln: 67.07819
Prompt: What is 87.57984kg in grams?
Soln: 87579.84
Prompt: What is 7996.177 kilograms in micrograms?
Soln: 7996177000000
Prompt: Convert 8197.32 millimeters to meters.
Soln: 8.19732
Prompt: Convert 7.50874l to millilitres.
Soln: 7508.74
Prompt: How many millimeters are there in 71293.94um?
Soln: 71.29394
Prompt: What is 21113.36 milligrams in nanograms?
Soln: 21113360000
Prompt: How many micrograms are there in 18/5 of a milligram?
Soln: 3600
Prompt: How many nanograms are there in 84.50156g?
Soln: 84501560000
Prompt: What is 39.47378 litres in millilitres?
Soln: 39473.78
Prompt: What is 376.7496 years in months?
Soln: 4520.9952
Prompt: What is 92594.78 millilitres in litres?
Soln: 92.59478
Prompt: How many seconds are there in 29/2 of a hour?
Soln: 52200
Prompt: Convert 356.01048 minutes to days.
Soln: 0.2472295
Prompt: What is eleven quarters of a litre in millilitres?
Soln: 2750
Prompt: How many months are there in 192191.1 decades?
Soln: 23062932
Prompt: How many days are there in thirteen sevenths of a week?
Soln: 13
Prompt: Convert 7.733355 micrometers to nanometers.
Soln: 7733.355
Prompt: What is seven quarters of a litre in millilitres?
Soln: 1750
Prompt: Convert 1.521513 minutes to milliseconds.
Soln: 91290.78
Prompt: What is 13/4 of a week in hours?
Soln: 546
Prompt: Convert 5.493081g to nanograms.
Soln: 5493081000
Prompt: What is two fifteenths of a century in months?
Soln: 160
Prompt: How many kilograms are there in 21/2 of a tonne?
Soln: 10500
Prompt: How many millilitres are there in 304798.4 litres?
Soln: 304798400
Prompt: What is 5357.842ng in kilograms?
Soln: 0.000000005357842
Prompt: Convert 84.64804g to milligrams.
Soln: 84648.04
Prompt: What is twenty-one fifths of a century in months?
Soln: 5040
Prompt:
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numbers: is prime
-----------------
Inquiry: Is 1633 composite?
Answer: True
Inquiry: Is 13378 a prime number?
Answer: False
Inquiry: Is 34545631 composite?
Answer: False
Inquiry: Is 11657885 composite?
Answer: True
Inquiry: Is 187520351 a prime number?
Answer: False
Inquiry: Is 10932079 a composite number?
Answer: True
Inquiry: Is 65629 a prime number?
Answer: True
Inquiry: Is 233647 composite?
Answer: True
Inquiry: Is 825384229 a prime number?
Answer: False
Inquiry: Is 37477 composite?
Answer: True
Inquiry: Is 2864071 a composite number?
Answer: True
Inquiry: Is 198474389 a composite number?
Answer: False
Inquiry: Is 26473 a composite number?
Answer: True
Inquiry: Is 147337 prime?
Answer: False
Inquiry: Is 3042553 a prime number?
Answer: True
Inquiry: Is 889 a prime number?
Answer: False
Inquiry: Is 13810903367 a composite number?
Answer: False
Inquiry: Is 2799788987 a prime number?
Answer: False
Inquiry: Is 332087 a prime number?
Answer: False
Inquiry: Is 5190751 a composite number?
Answer: True
Inquiry: Is 42235 a composite number?
Answer: True
Inquiry: Is 138684619 prime?
Answer: True
Inquiry: Is 50338231 composite?
Answer: True
Inquiry: Is 201039583 prime?
Answer: True
Inquiry: Is 34421 prime?
Answer: True
Inquiry: Is 26175860785 a composite number?
Answer: True
Inquiry: Is 31957 a composite number?
Answer: False
Inquiry: Is 21514685 a prime number?
Answer: False
Inquiry: Is 475673339 prime?
Answer: False
Inquiry: Is 409361930201 prime?
Answer: False
Inquiry: Is 1168957 a prime number?
Answer: True
Inquiry: Is 281077 a composite number?
Answer: True
Inquiry: Is 494669 prime?
Answer: False
Inquiry: Is 3690723007 a composite number?
Answer: True
Inquiry: Is 33433 prime?
Answer: False
Inquiry: Is 28448617 a prime number?
Answer: False
Inquiry: Is 5630591 composite?
Answer: False
Inquiry: Is 1733623 a composite number?
Answer: False
Inquiry: Is 13649 composite?
Answer: False
Inquiry: Is 2476911 a prime number?
Answer: False
Inquiry: Is 179317 a composite number?
A
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probability: swr p sequence
---------------------------
Problem #: Four letters picked without replacement from {t: 1, a: 5, u: 4}. What is prob of sequence tuau?
= : 1/84
Problem #: Three letters picked without replacement from lvvcvlvbbhbhzch. What is prob of sequence lbz?
= : 1/455
Problem #: What is prob of sequence vu when two letters picked without replacement from {w: 5, n: 1, s: 2, e: 5, v: 2, u: 1}?
= : 1/120
Problem #: Four letters picked without replacement from {e: 1, m: 4, u: 5, f: 1, o: 3, h: 1}. What is prob of sequence mfoo?
= : 1/1365
Problem #: What is prob of sequence fwf when three letters picked without replacement from {g: 6, w: 5, f: 2}?
= : 5/858
Problem #: Two letters picked without replacement from qffqqllqfff. What is prob of sequence ff?
= : 2/11
Problem #: Four letters picked without replacement from vdxovvvdzdv. Give prob of sequence zdxo.
= : 1/2640
Problem #: Two letters picked without replacement from xxxxaxxaxa. Give prob of sequence xx.
= : 7/15
Problem #: Two letters picked without replacement from {q: 2, s: 7, c: 9}. What is prob of sequence sc?
= : 7/34
Problem #: Four letters picked without replacement from {k: 3, i: 5}. Give prob of sequence ikik.
= : 1/14
Problem #: Four letters picked without replacement from {v: 7, x: 1, q: 3, y: 4, d: 3}. Give prob of sequence qydx.
= : 1/2040
Problem #: What is prob of sequence nv when two letters picked without replacement from nvnnnvn?
= : 5/21
Problem #: Four letters picked without replacement from {u: 1, i: 1, h: 1, m: 1, o: 1, e: 2}. Give prob of sequence hioe.
= : 1/420
Problem #: Two letters picked without replacement from bpbpp. Give prob of sequence bb.
= : 1/10
Problem #: Three letters picked without replacement from ggsixttngtggt. What is prob of sequence gig?
= : 5/429
Problem #: What is prob of sequence me when two letters picked without replacement from {m: 8, e: 2}?
= : 8/45
Problem #: Four letters picked without replacement from jjmjjjmjjjj. Give prob of sequence mmjj.
= :
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numbers: place value
--------------------
Ask: What is the units digit of 2545670534?
Math A: 4
Ask: What is the units digit of 6443?
Math A: 3
Ask: What is the ten thousands digit of 507375950?
Math A: 7
Ask: What is the hundreds digit of 7537301?
Math A: 3
Ask: What is the hundred thousands digit of 704302?
Math A: 7
Ask: What is the hundred thousands digit of 51603531?
Math A: 6
Ask: What is the hundreds digit of 28085?
Math A: 0
Ask: What is the hundreds digit of 547218011?
Math A: 0
Ask: What is the hundred millions digit of 424150758?
Math A: 4
Ask: What is the units digit of 2084?
Math A: 4
Ask: What is the tens digit of 63793618?
Math A: 1
Ask: What is the units digit of 5141?
Math A: 1
Ask: What is the hundred thousands digit of 683103628?
Math A: 1
Ask: What is the hundred thousands digit of 229513?
Math A: 2
Ask: What is the hundreds digit of 7887?
Math A: 8
Ask: What is the thousands digit of 2058873?
Math A: 8
Ask: What is the units digit of 23580?
Math A: 0
Ask: What is the hundreds digit of 4353425?
Math A: 4
Ask: What is the hundreds digit of 1812?
Math A: 8
Ask: What is the hundreds digit of 301759899?
Math A: 8
Ask: What is the tens digit of 2804080?
Math A: 8
Ask: What is the tens digit of 1422267?
Math A: 6
Ask: What is the hundred thousands digit of 430160?
Math A: 4
Ask: What is the tens digit of 34036401?
Math A: 0
Ask: What is the units digit of 115470667?
Math A: 7
Ask: What is the ten thousands digit of 35781?
Math A: 3
Ask: What is the ten thousands digit of 85476?
Math A: 8
Ask: What is the hundreds digit of 196620?
Math A: 6
Ask: What is the units digit of 333349?
Math A: 9
Ask: What is the hundred thousands digit of 154289?
Math A: 1
Ask: What is the hundreds digit of 877?
Math A: 8
Ask: What is the hundreds digit of 94164?
Math A: 1
Ask: What is the hundreds digit of 99319?
Math A: 3
Ask: What is the hundred thousands digit of 120339200?
Math A: 3
Ask: What is the hundreds digit of 117550292?
Math A: 2
Ask: What is the hundred millions
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english
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numbers: div remainder
----------------------
Challenge: Calculate the remainder when 65616540 is divided by 84.
Solution: 24
Challenge: Calculate the remainder when 120327 is divided by 70.
Solution: 67
Challenge: What is the remainder when 1076 is divided by 535?
Solution: 6
Challenge: Calculate the remainder when 28226016 is divided by 7691.
Solution: 46
Challenge: Calculate the remainder when 240 is divided by 120.
Solution: 0
Challenge: Calculate the remainder when 76419 is divided by 25462.
Solution: 33
Challenge: What is the remainder when 20659 is divided by 20639?
Solution: 20
Challenge: Calculate the remainder when 34009435 is divided by 241.
Solution: 238
Challenge: What is the remainder when 69673 is divided by 55?
Solution: 43
Challenge: What is the remainder when 3 is divided by 2?
Solution: 1
Challenge: Calculate the remainder when 148607 is divided by 74249.
Solution: 109
Challenge: Calculate the remainder when 84957792 is divided by 98.
Solution: 24
Challenge: Calculate the remainder when 1769453 is divided by 900.
Solution: 53
Challenge: Calculate the remainder when 542146 is divided by 180715.
Solution: 1
Challenge: What is the remainder when 388 is divided by 56?
Solution: 52
Challenge: What is the remainder when 174701 is divided by 950?
Solution: 851
Challenge: What is the remainder when 3614 is divided by 163?
Solution: 28
Challenge: What is the remainder when 1874835 is divided by 22319?
Solution: 39
Challenge: Calculate the remainder when 63191730 is divided by 24820.
Solution: 10
Challenge: What is the remainder when 2524 is divided by 2063?
Solution: 461
Challenge: Calculate the remainder when 66785 is divided by 369.
Solution: 365
Challenge: What is the remainder when 5021919 is divided by 19?
Solution: 10
Challenge: Calculate the remainder when 36940 is divided by 59.
Solution: 6
Challenge: What is the remainder when 286334 is divided by 1150?
Solution: 1134
Challenge: Calculate the remainder when 1435 is divided by 120.
Solution: 115
Ch
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probability: swr p level set
----------------------------
Item: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from wmrhd.
Fix: 1/10
Item: Two letters picked without replacement from hhlhlhhh. Give prob of picking 2 h.
Fix: 15/28
Item: Calculate prob of picking 2 k when two letters picked without replacement from {v: 1, o: 4, f: 9, k: 2}.
Fix: 1/120
Item: Calculate prob of picking 2 v, 1 k, and 1 x when four letters picked without replacement from {x: 1, k: 4, v: 3, u: 4, j: 1}.
Fix: 12/715
Item: Two letters picked without replacement from {k: 8, x: 2, r: 1, o: 3, i: 1, b: 2}. Give prob of picking 2 k.
Fix: 7/34
Item: What is prob of picking 1 j and 2 r when three letters picked without replacement from jjjjrr?
Fix: 1/5
Item: Three letters picked without replacement from gcbaaagbgbbgg. Give prob of picking 2 a and 1 g.
Fix: 15/286
Item: Calculate prob of picking 1 y and 3 f when four letters picked without replacement from nynfkyfyff.
Fix: 2/35
Item: What is prob of picking 1 m and 1 f when two letters picked without replacement from {f: 4, e: 1, m: 10, x: 4, r: 1}?
Fix: 4/19
Item: Four letters picked without replacement from gzuezzqzgzzuue. Give prob of picking 1 q, 1 z, 1 g, and 1 e.
Fix: 24/1001
Item: Calculate prob of picking 1 e and 3 w when four letters picked without replacement from {c: 1, e: 2, w: 3, m: 5, b: 6}.
Fix: 1/1190
Item: Three letters picked without replacement from aavvymaayvyxrv. What is prob of picking 1 y, 1 m, and 1 v?
Fix: 3/91
Item: What is prob of picking 2 p and 1 m when three letters picked without replacement from umpppumvvmuvvuuupmv?
Fix: 8/323
Item: Calculate prob of picking 2 j and 1 y when three letters picked without replacement from {y: 2, a: 2, g: 4, j: 3}.
Fix: 2/55
Item: Four letters picked without replacement from {b: 1, o: 1, d: 1, n: 5, r: 2}. Give prob of picking 1 n, 1 r, 1 b, and 1 d.
Fix: 1/21
Item: Four letters picked without replacement from {q: 6, c: 1, i: 1, x: 2, u: 3}. What is pro
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english
|
arithmetic: nearest integer root
--------------------------------
Exercise: What is the square root of 18148665 to the nearest integer?
Fix: 4260
Exercise: What is 50418192 to the power of 1/10, to the nearest integer?
Fix: 6
Exercise: What is 135410 to the power of 1/2, to the nearest integer?
Fix: 368
Exercise: What is 8415 to the power of 1/6, to the nearest integer?
Fix: 5
Exercise: What is 144247595 to the power of 1/2, to the nearest integer?
Fix: 12010
Exercise: What is the fourth root of 26713128 to the nearest integer?
Fix: 72
Exercise: What is 1713690 to the power of 1/2, to the nearest integer?
Fix: 1309
Exercise: What is 471 to the power of 1/4, to the nearest integer?
Fix: 5
Exercise: What is 118311 to the power of 1/3, to the nearest integer?
Fix: 49
Exercise: What is the square root of 1705 to the nearest integer?
Fix: 41
Exercise: What is the cube root of 16407996 to the nearest integer?
Fix: 254
Exercise: What is the ninth root of 2337 to the nearest integer?
Fix: 2
Exercise: What is 2103243 to the power of 1/2, to the nearest integer?
Fix: 1450
Exercise: What is 212218891 to the power of 1/3, to the nearest integer?
Fix: 596
Exercise: What is the square root of 397455 to the nearest integer?
Fix: 630
Exercise: What is 1980 to the power of 1/4, to the nearest integer?
Fix: 7
Exercise: What is the square root of 224042 to the nearest integer?
Fix: 473
Exercise: What is the square root of 112885 to the nearest integer?
Fix: 336
Exercise: What is 33451187 to the power of 1/2, to the nearest integer?
Fix: 5784
Exercise: What is 772224 to the power of 1/7, to the nearest integer?
Fix: 7
Exercise: What is the square root of 492272 to the nearest integer?
Fix: 702
Exercise: What is 1316115928 to the power of 1/8, to the nearest integer?
Fix: 14
Exercise: What is 20574773 to the power of 1/2, to the nearest integer?
Fix: 4536
Exercise: What is 3692 to the power of 1/2, to the nearest integer?
Fix: 61
Exercise: What is the seventh root of 4481796 to the near
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english
|
measurement: time
-----------------
Q: How many minutes are there between 9:23 AM and 7:22 PM?
Result: 599
Q: What is 286 minutes after 10:17 AM?
Result: 3:03 PM
Q: How many minutes are there between 9:03 PM and 11:37 PM?
Result: 154
Q: How many minutes are there between 12:44 PM and 7:11 PM?
Result: 387
Q: What is 675 minutes after 7:35 PM?
Result: 6:50 AM
Q: What is 123 minutes before 7:12 AM?
Result: 5:09 AM
Q: How many minutes are there between 11:50 PM and 10:31 AM?
Result: 641
Q: What is 466 minutes after 6:05 AM?
Result: 1:51 PM
Q: What is 142 minutes after 10:37 PM?
Result: 12:59 AM
Q: What is 535 minutes after 7:26 AM?
Result: 4:21 PM
Q: How many minutes are there between 6:32 PM and 12:43 AM?
Result: 371
Q: What is 175 minutes before 12:22 AM?
Result: 9:27 PM
Q: How many minutes are there between 6:24 AM and 9:53 AM?
Result: 209
Q: What is 337 minutes after 8:14 PM?
Result: 1:51 AM
Q: How many minutes are there between 2:05 PM and 10:49 PM?
Result: 524
Q: How many minutes are there between 11:37 AM and 4:58 PM?
Result: 321
Q: How many minutes are there between 10:28 PM and 6:52 AM?
Result: 504
Q: What is 660 minutes before 8:38 PM?
Result: 9:38 AM
Q: What is 10 minutes before 3:36 AM?
Result: 3:26 AM
Q: How many minutes are there between 1:35 PM and 10:34 PM?
Result: 539
Q: What is 610 minutes after 5:48 AM?
Result: 3:58 PM
Q: What is 553 minutes after 3:15 AM?
Result: 12:28 PM
Q: What is 11 minutes before 1:33 PM?
Result: 1:22 PM
Q: What is 223 minutes before 8:02 PM?
Result: 4:19 PM
Q: How many minutes are there between 3:10 AM and 4:09 AM?
Result: 59
Q: How many minutes are there between 2:43 AM and 9:37 AM?
Result: 414
Q: What is 585 minutes before 2:42 AM?
Result: 4:57 PM
Q: What is 443 minutes before 5:32 AM?
Result: 10:09 PM
Q: How many minutes are there between 7:07 PM and 9:26 PM?
Result: 139
Q: What is 104 minutes before 12:40 PM?
Result: 10:56 AM
Q: What is 203 minutes after 1:43 AM?
Result: 5:06 AM
Q: How many minutes are there between 11:02 AM
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english
|
measurement: conversion
-----------------------
Challenge: How many years are there in fifty-four fifths of a millennium?
A: 10800
Challenge: What is one fifth of a minute in milliseconds?
A: 12000
Challenge: How many micrometers are there in 9871.83cm?
A: 98718300
Challenge: What is 49598.35ml in litres?
A: 49.59835
Challenge: How many seconds are there in 1/20 of a hour?
A: 180
Challenge: How many minutes are there in twenty-one fifths of a hour?
A: 252
Challenge: How many millimeters are there in 7/8 of a meter?
A: 875
Challenge: What is 7.94024 litres in millilitres?
A: 7940.24
Challenge: Convert 650.8655 litres to millilitres.
A: 650865.5
Challenge: What is 7.737257 kilometers in micrometers?
A: 7737257000
Challenge: What is 1.8787488 months in years?
A: 0.1565624
Challenge: How many kilograms are there in 907.4441t?
A: 907444.1
Challenge: Convert 1.714189 centuries to years.
A: 171.4189
Challenge: How many minutes are there in seven sixths of a hour?
A: 70
Challenge: Convert 359.4475 meters to micrometers.
A: 359447500
Challenge: What is seven quarters of a meter in millimeters?
A: 1750
Challenge: Convert 64.04492t to micrograms.
A: 64044920000000
Challenge: Convert 0.1895289 litres to millilitres.
A: 189.5289
Challenge: How many micrometers are there in 944383.8 kilometers?
A: 944383800000000
Challenge: What is nineteen quarters of a tonne in kilograms?
A: 4750
Challenge: What is 3/10 of a milligram in micrograms?
A: 300
Challenge: What is fourty-three halves of a year in months?
A: 258
Challenge: What is one fifth of a litre in millilitres?
A: 200
Challenge: What is seventy-nine halves of a tonne in kilograms?
A: 39500
Challenge: How many micrograms are there in 0.3537848mg?
A: 353.7848
Challenge: Convert 0.3722886t to nanograms.
A: 372288600000000
Challenge: How many millilitres are there in 45/2 of a litre?
A: 22500
Challenge: What is 5/4 of a millennium in years?
A: 1250
Challenge: How many nanometers are there in 41/2 of a micrometer?
A: 20500
Challenge:
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english
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numbers: div remainder
----------------------
Q=: What is the remainder when 903 is divided by 184?
Solution: 167
Q=: What is the remainder when 8248755 is divided by 119547?
Solution: 12
Q=: Calculate the remainder when 10290055 is divided by 16759.
Solution: 29
Q=: Calculate the remainder when 48317 is divided by 4026.
Solution: 5
Q=: What is the remainder when 597 is divided by 100?
Solution: 97
Q=: Calculate the remainder when 942 is divided by 31.
Solution: 12
Q=: What is the remainder when 1196166 is divided by 108741?
Solution: 15
Q=: What is the remainder when 86 is divided by 13?
Solution: 8
Q=: Calculate the remainder when 406 is divided by 119.
Solution: 49
Q=: Calculate the remainder when 4399 is divided by 275.
Solution: 274
Q=: What is the remainder when 88783 is divided by 683?
Solution: 676
Q=: Calculate the remainder when 23766 is divided by 22375.
Solution: 1391
Q=: Calculate the remainder when 55576 is divided by 28.
Solution: 24
Q=: Calculate the remainder when 3100 is divided by 281.
Solution: 9
Q=: Calculate the remainder when 150818 is divided by 1197.
Solution: 1193
Q=: What is the remainder when 73515 is divided by 329?
Solution: 148
Q=: Calculate the remainder when 303 is divided by 6.
Solution: 3
Q=: What is the remainder when 1791 is divided by 74?
Solution: 15
Q=: Calculate the remainder when 1998 is divided by 50.
Solution: 48
Q=: What is the remainder when 6955298 is divided by 100?
Solution: 98
Q=: What is the remainder when 4182 is divided by 89?
Solution: 88
Q=: Calculate the remainder when 1374 is divided by 132.
Solution: 54
Q=: What is the remainder when 21175 is divided by 311?
Solution: 27
Q=: What is the remainder when 512 is divided by 90?
Solution: 62
Q=: Calculate the remainder when 5053705 is divided by 1493.
Solution: 1393
Q=: What is the remainder when 246579 is divided by 191?
Solution: 189
Q=: Calculate the remainder when 42295735 is divided by 518.
Solution: 517
Q=: What is the remainder when 8853 is divided by 56?
So
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english
|
probability: swr p level set
----------------------------
Prompt: What is prob of picking 2 n and 1 g when three letters picked without replacement from gogogggggnnnnn?
Hence: 5/26
Prompt: Four letters picked without replacement from {c: 3, d: 1, p: 4}. What is prob of picking 1 d, 2 c, and 1 p?
Hence: 6/35
Prompt: What is prob of picking 2 s and 1 i when three letters picked without replacement from {o: 5, s: 4, i: 1}?
Hence: 1/20
Prompt: Three letters picked without replacement from mkkmmkmmkmkmk. What is prob of picking 1 m and 2 k?
Hence: 105/286
Prompt: Three letters picked without replacement from rkok. What is prob of picking 1 o, 1 r, and 1 k?
Hence: 1/2
Prompt: Three letters picked without replacement from {i: 7, a: 5}. What is prob of picking 1 i and 2 a?
Hence: 7/22
Prompt: Four letters picked without replacement from qyquoqqqqquyoqooqqq. What is prob of picking 1 o and 3 u?
Hence: 0
Prompt: Three letters picked without replacement from {h: 5, y: 1, b: 11}. What is prob of picking 2 h and 1 b?
Hence: 11/68
Prompt: Three letters picked without replacement from eddddeedededdd. Give prob of picking 1 e and 2 d.
Hence: 45/91
Prompt: Four letters picked without replacement from xeexeexeeexeee. What is prob of picking 1 x and 3 e?
Hence: 480/1001
Prompt: Two letters picked without replacement from {q: 9, u: 10}. What is prob of picking 2 q?
Hence: 4/19
Prompt: Four letters picked without replacement from djvdyv. Give prob of picking 4 j.
Hence: 0
Prompt: Four letters picked without replacement from {r: 5, q: 5}. What is prob of picking 4 r?
Hence: 1/42
Prompt: Four letters picked without replacement from {h: 1, o: 1, l: 2, w: 1, e: 1, d: 2}. Give prob of picking 1 o, 2 l, and 1 w.
Hence: 1/70
Prompt: What is prob of picking 1 q and 1 a when two letters picked without replacement from qawqq?
Hence: 3/10
Prompt: What is prob of picking 3 i when three letters picked without replacement from {x: 5, i: 5}?
Hence: 1/12
Prompt: Calculate prob of picking 1 c and 2 g wh
|
english
|
numbers: is prime
-----------------
Example: Is 20989 a prime number?
Calculation: False
Example: Is 702173 a composite number?
Calculation: False
Example: Is 60882199145 a composite number?
Calculation: True
Example: Is 2761505 a prime number?
Calculation: False
Example: Is 79531063 a composite number?
Calculation: True
Example: Is 5825471 composite?
Calculation: True
Example: Is 2767184279 composite?
Calculation: True
Example: Is 284613258737 a composite number?
Calculation: True
Example: Is 270168089 composite?
Calculation: True
Example: Is 12812087 a prime number?
Calculation: True
Example: Is 79407851 composite?
Calculation: True
Example: Is 28477063 composite?
Calculation: True
Example: Is 361379 a prime number?
Calculation: False
Example: Is 476896699 a composite number?
Calculation: True
Example: Is 112429 prime?
Calculation: True
Example: Is 19239403 composite?
Calculation: True
Example: Is 982998323 a prime number?
Calculation: True
Example: Is 153727 composite?
Calculation: True
Example: Is 57279416167 prime?
Calculation: False
Example: Is 8803 a prime number?
Calculation: True
Example: Is 253 prime?
Calculation: False
Example: Is 375341 prime?
Calculation: True
Example: Is 6805441 a composite number?
Calculation: False
Example: Is 85730156129 prime?
Calculation: False
Example: Is 1515511 a prime number?
Calculation: False
Example: Is 953843711 composite?
Calculation: True
Example: Is 269278 a composite number?
Calculation: True
Example: Is 84078571 composite?
Calculation: False
Example: Is 19309803185 a composite number?
Calculation: True
Example: Is 222209 a composite number?
Calculation: True
Example: Is 14969 a composite number?
Calculation: False
Example: Is 12979 prime?
Calculation: True
Example: Is 32147099 a prime number?
Calculation: True
Example: Is 64217 composite?
Calculation: False
Example: Is 36406269821 prime?
Calculation: False
Example: Is 7541937031 a prime number?
Calculation: True
Example: Is 882269 a prime number?
Calculation: False
Ex
|
english
|
measurement: time
-----------------
Exercise: How many minutes are there between 5:20 PM and 11:34 PM?
Steps: 374
Exercise: What is 530 minutes before 12:59 AM?
Steps: 4:09 PM
Exercise: How many minutes are there between 6:04 AM and 10:41 AM?
Steps: 277
Exercise: What is 158 minutes after 9:43 AM?
Steps: 12:21 PM
Exercise: What is 127 minutes after 2:50 AM?
Steps: 4:57 AM
Exercise: What is 557 minutes before 3:45 AM?
Steps: 6:28 PM
Exercise: How many minutes are there between 3:52 PM and 10:48 PM?
Steps: 416
Exercise: How many minutes are there between 9:26 AM and 9:12 PM?
Steps: 706
Exercise: How many minutes are there between 10:41 PM and 5:45 AM?
Steps: 424
Exercise: What is 699 minutes before 10:12 AM?
Steps: 10:33 PM
Exercise: How many minutes are there between 10:18 PM and 6:20 AM?
Steps: 482
Exercise: How many minutes are there between 11:25 PM and 5:06 AM?
Steps: 341
Exercise: How many minutes are there between 11:56 AM and 5:18 PM?
Steps: 322
Exercise: What is 238 minutes after 12:05 PM?
Steps: 4:03 PM
Exercise: How many minutes are there between 8:20 PM and 6:19 AM?
Steps: 599
Exercise: How many minutes are there between 8:16 AM and 1:18 PM?
Steps: 302
Exercise: How many minutes are there between 12:26 PM and 7:20 PM?
Steps: 414
Exercise: How many minutes are there between 6:46 AM and 5:58 PM?
Steps: 672
Exercise: What is 662 minutes before 4:59 PM?
Steps: 5:57 AM
Exercise: What is 328 minutes before 12:39 PM?
Steps: 7:11 AM
Exercise: What is 155 minutes after 2:53 AM?
Steps: 5:28 AM
Exercise: What is 260 minutes before 4:24 AM?
Steps: 12:04 AM
Exercise: How many minutes are there between 1:12 PM and 11:36 PM?
Steps: 624
Exercise: How many minutes are there between 9:23 AM and 2:00 PM?
Steps: 277
Exercise: What is 708 minutes after 7:31 AM?
Steps: 7:19 PM
Exercise: How many minutes are there between 4:25 PM and 12:11 AM?
Steps: 466
Exercise: How many minutes are there between 5:47 PM and 3:05 AM?
Steps: 558
Exercise: How many minutes are there between 10:4
|
english
|
numbers: is prime
-----------------
Test item: Is 552597569 a prime number?
Yields: True
Test item: Is 339502503 a prime number?
Yields: False
Test item: Is 64399 prime?
Yields: True
Test item: Is 90547 a composite number?
Yields: False
Test item: Is 60331166957 a composite number?
Yields: True
Test item: Is 10688000473 composite?
Yields: False
Test item: Is 294832621 a composite number?
Yields: True
Test item: Is 21377 a prime number?
Yields: True
Test item: Is 2260519 prime?
Yields: True
Test item: Is 11253905053 a composite number?
Yields: False
Test item: Is 1282506481 composite?
Yields: False
Test item: Is 947742722 a composite number?
Yields: True
Test item: Is 84965 a composite number?
Yields: True
Test item: Is 12843486301 a composite number?
Yields: False
Test item: Is 11518547 prime?
Yields: True
Test item: Is 115131923663 a composite number?
Yields: False
Test item: Is 26623 a composite number?
Yields: True
Test item: Is 3803567213 a prime number?
Yields: False
Test item: Is 10202542369 a composite number?
Yields: False
Test item: Is 927889 a composite number?
Yields: True
Test item: Is 1032506773 composite?
Yields: False
Test item: Is 64994849 a prime number?
Yields: False
Test item: Is 14633439347 prime?
Yields: False
Test item: Is 57077299 prime?
Yields: True
Test item: Is 30042821 prime?
Yields: False
Test item: Is 2080364201 a composite number?
Yields: True
Test item: Is 23251 a composite number?
Yields: False
Test item: Is 93131 a composite number?
Yields: False
Test item: Is 1137709 a composite number?
Yields: True
Test item: Is 54783977 prime?
Yields: True
Test item: Is 8053 a prime number?
Yields: True
Test item: Is 780799 composite?
Yields: False
Test item: Is 62939 a prime number?
Yields: True
Test item: Is 80567 a composite number?
Yields: False
Test item: Is 270311585 composite?
Yields: True
Test item: Is 14689729 composite?
Yields: False
Test item: Is 26416312453 a prime number?
Yields: True
Test item: Is 2420918 prime?
Yields: False
Test it
|
english
|
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