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probability: swr p sequence
---------------------------
Query: Four letters picked without replacement from {n: 2, y: 3, f: 3}. What is prob of sequence nfff?
Workthrough: 1/140
Query: Calculate prob of sequence tts when three letters picked without replacement from {v: 3, s: 2, q: 2, t: 8, j: 1, c: 4}.
Workthrough: 14/855
Query: Two letters picked without replacement from bbbbbbbbbbbbbbbjbbb. What is prob of sequence bb?
Workthrough: 17/19
Query: Two letters picked without replacement from {s: 13, m: 5}. What is prob of sequence ss?
Workthrough: 26/51
Query: Four letters picked without replacement from {x: 1, z: 4, v: 3, k: 2, i: 1}. Give prob of sequence kzvz.
Workthrough: 1/110
Query: Calculate prob of sequence wf when two letters picked without replacement from {d: 1, w: 3, f: 4, h: 7, e: 4}.
Workthrough: 2/57
Query: Four letters picked without replacement from {c: 1, z: 2, x: 4, r: 1}. Give prob of sequence rzxx.
Workthrough: 1/70
Query: Four letters picked without replacement from zzxxzxxzzz. Give prob of sequence zzxz.
Workthrough: 2/21
Query: Three letters picked without replacement from cczczc. Give prob of sequence zcc.
Workthrough: 1/5
Query: Calculate prob of sequence bb when two letters picked without replacement from {q: 3, i: 1, o: 1, b: 2, z: 5}.
Workthrough: 1/66
Query: What is prob of sequence xux when three letters picked without replacement from uhxuuuxxhuhxbu?
Workthrough: 3/91
Query: Two letters picked without replacement from {i: 3, o: 4}. Give prob of sequence ii.
Workthrough: 1/7
Query: What is prob of sequence mm when two letters picked without replacement from {m: 3}?
Workthrough: 1
Query: What is prob of sequence aa when two letters picked without replacement from {a: 4}?
Workthrough: 1
Query: Three letters picked without replacement from rthxb. Give prob of sequence bxh.
Workthrough: 1/60
Query: Calculate prob of sequence nlw when three letters picked without replacement from {w: 1, l: 1, j: 1, n: 1, z: 1}.
Workthrough: 1/60
Query: Four
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english
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measurement: conversion
-----------------------
Topic: Convert 56.19822cm to millimeters.
Soln: 561.9822
Topic: Convert 9.44093 milligrams to tonnes.
Soln: 0.00000000944093
Topic: What is 43/2 of a kilometer in meters?
Soln: 21500
Topic: Convert 45988.7t to micrograms.
Soln: 45988700000000000
Topic: What is 1/4 of a centimeter in micrometers?
Soln: 2500
Topic: How many micrometers are there in 776032.1 meters?
Soln: 776032100000
Topic: How many nanometers are there in 3/50 of a millimeter?
Soln: 60000
Topic: How many seconds are there in 5/6 of a hour?
Soln: 3000
Topic: How many microseconds are there in fifty-one fifths of a millisecond?
Soln: 10200
Topic: Convert 38.34852 millilitres to litres.
Soln: 0.03834852
Topic: Convert 95893.27 centuries to decades.
Soln: 958932.7
Topic: How many months are there in 378.3186 years?
Soln: 4539.8232
Topic: What is 12728.57 nanograms in micrograms?
Soln: 12.72857
Topic: How many millimeters are there in 4195.183m?
Soln: 4195183
Topic: How many micrometers are there in 3/10 of a millimeter?
Soln: 300
Topic: What is 19897.386 months in millennia?
Soln: 1.6581155
Topic: Convert 5.656189 nanograms to micrograms.
Soln: 0.005656189
Topic: What is three tenths of a minute in seconds?
Soln: 18
Topic: How many seconds are there in 2/21 of a week?
Soln: 57600
Topic: What is thirteen quarters of a hour in seconds?
Soln: 11700
Topic: How many millimeters are there in 27/4 of a meter?
Soln: 6750
Topic: What is 986.327 millimeters in kilometers?
Soln: 0.000986327
Topic: How many millilitres are there in 84.25104l?
Soln: 84251.04
Topic: What is 2815.7406 months in millennia?
Soln: 0.23464505
Topic: What is thirty-one fifths of a millennium in months?
Soln: 74400
Topic: What is three eighths of a millennium in years?
Soln: 375
Topic: What is one fifth of a micrometer in nanometers?
Soln: 200
Topic: What is six fifths of a millennium in centuries?
Soln: 12
Topic: What is 75.69774 centuries in months?
Soln: 90837.288
Topic: How many millimeters
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arithmetic: nearest integer root
--------------------------------
Case: What is 184161578 to the power of 1/3, to the nearest integer?
Soln: 569
Case: What is the ninth root of 542354 to the nearest integer?
Soln: 4
Case: What is the square root of 3168916 to the nearest integer?
Soln: 1780
Case: What is the sixth root of 12736594 to the nearest integer?
Soln: 15
Case: What is 30619274 to the power of 1/2, to the nearest integer?
Soln: 5533
Case: What is the third root of 616977625 to the nearest integer?
Soln: 851
Case: What is 20108 to the power of 1/5, to the nearest integer?
Soln: 7
Case: What is 4502447177 to the power of 1/2, to the nearest integer?
Soln: 67100
Case: What is the square root of 2721 to the nearest integer?
Soln: 52
Case: What is the fifth root of 2824 to the nearest integer?
Soln: 5
Case: What is the seventh root of 2306 to the nearest integer?
Soln: 3
Case: What is the square root of 2541 to the nearest integer?
Soln: 50
Case: What is the square root of 6169316 to the nearest integer?
Soln: 2484
Case: What is 52994 to the power of 1/3, to the nearest integer?
Soln: 38
Case: What is 205927 to the power of 1/10, to the nearest integer?
Soln: 3
Case: What is 5200714 to the power of 1/3, to the nearest integer?
Soln: 173
Case: What is the tenth root of 22226 to the nearest integer?
Soln: 3
Case: What is the ninth root of 1227170624 to the nearest integer?
Soln: 10
Case: What is 342035385 to the power of 1/3, to the nearest integer?
Soln: 699
Case: What is the square root of 9538 to the nearest integer?
Soln: 98
Case: What is the third root of 5787349 to the nearest integer?
Soln: 180
Case: What is 3086 to the power of 1/3, to the nearest integer?
Soln: 15
Case: What is 938 to the power of 1/6, to the nearest integer?
Soln: 3
Case: What is 51889 to the power of 1/7, to the nearest integer?
Soln: 5
Case: What is the seventh root of 4611833 to the nearest integer?
Soln: 9
Case: What is 197 to the power of 1/7, to the nearest integer?
Soln: 2
Case: Wh
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numbers: is prime
-----------------
Test item: Is 16542022141 a prime number?
Final Answer: True
Test item: Is 393935 prime?
Final Answer: False
Test item: Is 240321 composite?
Final Answer: True
Test item: Is 944155 prime?
Final Answer: False
Test item: Is 51454759 composite?
Final Answer: False
Test item: Is 2464119967 prime?
Final Answer: False
Test item: Is 199005643 prime?
Final Answer: False
Test item: Is 483581333 a prime number?
Final Answer: False
Test item: Is 1793251 prime?
Final Answer: True
Test item: Is 194977 a composite number?
Final Answer: False
Test item: Is 5385870151 prime?
Final Answer: True
Test item: Is 16944233 a composite number?
Final Answer: True
Test item: Is 7747 a composite number?
Final Answer: True
Test item: Is 311783 prime?
Final Answer: False
Test item: Is 8145537571 prime?
Final Answer: True
Test item: Is 1194596027 a composite number?
Final Answer: True
Test item: Is 1562711257 composite?
Final Answer: False
Test item: Is 3826271 a composite number?
Final Answer: True
Test item: Is 7001 prime?
Final Answer: True
Test item: Is 2271337 prime?
Final Answer: True
Test item: Is 2757 a composite number?
Final Answer: True
Test item: Is 1352129602 composite?
Final Answer: True
Test item: Is 449635256351 a composite number?
Final Answer: False
Test item: Is 59549119 a composite number?
Final Answer: True
Test item: Is 11771 composite?
Final Answer: True
Test item: Is 7655 a prime number?
Final Answer: False
Test item: Is 185917 a composite number?
Final Answer: False
Test item: Is 33696572339 a composite number?
Final Answer: False
Test item: Is 55227212009 a prime number?
Final Answer: False
Test item: Is 12813 a composite number?
Final Answer: True
Test item: Is 61894823 a composite number?
Final Answer: False
Test item: Is 38209775497 a prime number?
Final Answer: True
Test item: Is 19939 composite?
Final Answer: True
Test item: Is 26207057 composite?
Final Answer: False
Test item: Is 158637703 a composite number?
Final Answer: True
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probability: swr p sequence
---------------------------
Problem: Calculate prob of sequence qnn when three letters picked without replacement from qnnqqqiinqqiqinqiqqi.
Calculation: 1/57
Problem: What is prob of sequence qy when two letters picked without replacement from yqqqyyyyyqyqy?
Calculation: 10/39
Problem: What is prob of sequence hm when two letters picked without replacement from {e: 3, p: 2, h: 2, i: 1, o: 1, m: 3}?
Calculation: 1/22
Problem: Calculate prob of sequence ezu when three letters picked without replacement from {u: 1, e: 4, l: 5, z: 2, k: 2}.
Calculation: 1/273
Problem: Calculate prob of sequence hxt when three letters picked without replacement from htxxxxt.
Calculation: 4/105
Problem: Four letters picked without replacement from {p: 2, n: 8, b: 2, f: 2}. What is prob of sequence pnpn?
Calculation: 2/429
Problem: Calculate prob of sequence jc when two letters picked without replacement from {c: 2, j: 6}.
Calculation: 3/14
Problem: Calculate prob of sequence mymy when four letters picked without replacement from mmmyy.
Calculation: 1/10
Problem: Two letters picked without replacement from udydddyddduydy. Give prob of sequence yd.
Calculation: 16/91
Problem: Two letters picked without replacement from zfffffttff. Give prob of sequence ft.
Calculation: 7/45
Problem: Four letters picked without replacement from {h: 7, s: 1, t: 2, a: 6, u: 4}. Give prob of sequence huus.
Calculation: 7/9690
Problem: Two letters picked without replacement from vvvkvvskvv. Give prob of sequence ks.
Calculation: 1/45
Problem: Two letters picked without replacement from {e: 2, v: 2, y: 6, a: 2}. What is prob of sequence ev?
Calculation: 1/33
Problem: What is prob of sequence ccf when three letters picked without replacement from fcluluclcc?
Calculation: 1/60
Problem: Four letters picked without replacement from {y: 3, f: 2, u: 1, l: 2, v: 6, p: 4}. Give prob of sequence ulvy.
Calculation: 1/2040
Problem: Three letters picked without replacement from {a: 1, j: 1, v: 1}
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probability: swr p sequence
---------------------------
Exercise: Calculate prob of sequence jjjj when four letters picked without replacement from ffjfjfjjfjjjffjjfjf.
Compute: 35/646
Exercise: Four letters picked without replacement from hwfhfhfhwwh. Give prob of sequence wffh.
Compute: 1/88
Exercise: Two letters picked without replacement from kktttqqqtqttt. What is prob of sequence tk?
Compute: 7/78
Exercise: Three letters picked without replacement from nnnrnyyny. Give prob of sequence nnr.
Compute: 5/126
Exercise: Calculate prob of sequence er when two letters picked without replacement from {r: 4, e: 3}.
Compute: 2/7
Exercise: Calculate prob of sequence jayy when four letters picked without replacement from {g: 3, u: 2, y: 4, a: 2, j: 3, k: 1}.
Compute: 1/455
Exercise: What is prob of sequence gkk when three letters picked without replacement from gkkggkkkkgkkkggkgkk?
Compute: 154/969
Exercise: Calculate prob of sequence vo when two letters picked without replacement from gvvvggo.
Compute: 1/14
Exercise: Calculate prob of sequence utv when three letters picked without replacement from rdrttrvtrutuvutuvr.
Compute: 5/408
Exercise: Calculate prob of sequence nqr when three letters picked without replacement from rgygyqycncgcccggygg.
Compute: 1/5814
Exercise: Three letters picked without replacement from kkgokkkktkkkkqk. Give prob of sequence too.
Compute: 0
Exercise: What is prob of sequence hr when two letters picked without replacement from {r: 3, h: 7, z: 2}?
Compute: 7/44
Exercise: Two letters picked without replacement from cmplr. Give prob of sequence cp.
Compute: 1/20
Exercise: Four letters picked without replacement from sshshocyhxcyysco. What is prob of sequence ysoy?
Compute: 1/910
Exercise: Calculate prob of sequence ap when two letters picked without replacement from {a: 2, q: 3, w: 2, z: 4, p: 2, t: 1}.
Compute: 2/91
Exercise: Two letters picked without replacement from rqqrrrrrriqrlrlq. Give prob of sequence lq.
Compute: 1/30
Exercise: Calculate pr
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arithmetic: nearest integer root
--------------------------------
Conundrum: What is the square root of 4844931954 to the nearest integer?
A: 69606
Conundrum: What is the square root of 1839437 to the nearest integer?
A: 1356
Conundrum: What is the seventh root of 592 to the nearest integer?
A: 2
Conundrum: What is the square root of 89729762 to the nearest integer?
A: 9473
Conundrum: What is the cube root of 5167609799 to the nearest integer?
A: 1729
Conundrum: What is 6292 to the power of 1/10, to the nearest integer?
A: 2
Conundrum: What is the cube root of 454971458 to the nearest integer?
A: 769
Conundrum: What is 128161 to the power of 1/2, to the nearest integer?
A: 358
Conundrum: What is 21879 to the power of 1/4, to the nearest integer?
A: 12
Conundrum: What is the sixth root of 11840075 to the nearest integer?
A: 15
Conundrum: What is the eighth root of 108677653 to the nearest integer?
A: 10
Conundrum: What is 8103 to the power of 1/2, to the nearest integer?
A: 90
Conundrum: What is the square root of 198557075 to the nearest integer?
A: 14091
Conundrum: What is 265113 to the power of 1/9, to the nearest integer?
A: 4
Conundrum: What is 47168 to the power of 1/9, to the nearest integer?
A: 3
Conundrum: What is the square root of 536101040 to the nearest integer?
A: 23154
Conundrum: What is the fifth root of 6796326 to the nearest integer?
A: 23
Conundrum: What is the sixth root of 31382 to the nearest integer?
A: 6
Conundrum: What is the square root of 86718 to the nearest integer?
A: 294
Conundrum: What is the square root of 7141775 to the nearest integer?
A: 2672
Conundrum: What is 3941206 to the power of 1/10, to the nearest integer?
A: 5
Conundrum: What is 871503 to the power of 1/3, to the nearest integer?
A: 96
Conundrum: What is 308407 to the power of 1/5, to the nearest integer?
A: 13
Conundrum: What is the fifth root of 854750 to the nearest integer?
A: 15
Conundrum: What is the third root of 1429894579 to the nearest integer?
A: 1127
Conundrum:
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english
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numbers: is prime
-----------------
Task: Is 13964299 composite?
Key: False
Task: Is 162209 a prime number?
Key: True
Task: Is 849575507 composite?
Key: True
Task: Is 1676133799 a prime number?
Key: True
Task: Is 72843 prime?
Key: False
Task: Is 436147 a prime number?
Key: True
Task: Is 394549 composite?
Key: False
Task: Is 76943 a prime number?
Key: True
Task: Is 36037 prime?
Key: True
Task: Is 173797927 a composite number?
Key: False
Task: Is 88207 prime?
Key: False
Task: Is 394 composite?
Key: True
Task: Is 7516271933 composite?
Key: False
Task: Is 4550219083 a composite number?
Key: False
Task: Is 6659476411 a prime number?
Key: False
Task: Is 7092277 a prime number?
Key: False
Task: Is 46924000819 composite?
Key: True
Task: Is 11902123 a composite number?
Key: True
Task: Is 52980233 a composite number?
Key: True
Task: Is 4085923 a composite number?
Key: False
Task: Is 2503 prime?
Key: True
Task: Is 224669 prime?
Key: True
Task: Is 627291601 a prime number?
Key: True
Task: Is 535169 composite?
Key: False
Task: Is 482483 a composite number?
Key: False
Task: Is 14873311 a composite number?
Key: False
Task: Is 70572109273 composite?
Key: False
Task: Is 6810851 prime?
Key: False
Task: Is 93571057 prime?
Key: True
Task: Is 7269 composite?
Key: True
Task: Is 35627 prime?
Key: False
Task: Is 13924023977 composite?
Key: False
Task: Is 103003027 a prime number?
Key: True
Task: Is 29950079 composite?
Key: False
Task: Is 22429 a prime number?
Key: False
Task: Is 48499 a prime number?
Key: False
Task: Is 1175558803 a composite number?
Key: False
Task: Is 11699 composite?
Key: False
Task: Is 525299 composite?
Key: False
Task: Is 162474563 a composite number?
Key: False
Task: Is 70937 a prime number?
Key: True
Task: Is 81817 a composite number?
Key: False
Task: Is 7747 a prime number?
Key: False
Task: Is 80897 prime?
Key: True
Task: Is 444271 a prime number?
Key: True
Task: Is 6801551 prime?
Key: True
Task: Is 34907 a prime number?
Key: False
Task: Is 20011 a prime number?
Ke
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numbers: is prime
-----------------
Statement: Is 13613543 a composite number?
Result: True
Statement: Is 776085971 prime?
Result: True
Statement: Is 250187957 composite?
Result: False
Statement: Is 21758465 a prime number?
Result: False
Statement: Is 192339689 a composite number?
Result: False
Statement: Is 339197 composite?
Result: True
Statement: Is 11146526551 a composite number?
Result: False
Statement: Is 46747867 a composite number?
Result: True
Statement: Is 58553 prime?
Result: False
Statement: Is 12386737 composite?
Result: True
Statement: Is 39139837 prime?
Result: False
Statement: Is 5740264457 composite?
Result: True
Statement: Is 110838083 prime?
Result: True
Statement: Is 4421 composite?
Result: False
Statement: Is 452375593 prime?
Result: False
Statement: Is 215297 a prime number?
Result: True
Statement: Is 5493874721 a composite number?
Result: False
Statement: Is 43943 prime?
Result: True
Statement: Is 767674241 a composite number?
Result: False
Statement: Is 3589 a prime number?
Result: False
Statement: Is 27581 prime?
Result: True
Statement: Is 68770859 prime?
Result: True
Statement: Is 2497968059 a composite number?
Result: False
Statement: Is 27510983 a composite number?
Result: False
Statement: Is 27479 a composite number?
Result: False
Statement: Is 2715655 a prime number?
Result: False
Statement: Is 134114261 composite?
Result: False
Statement: Is 72989 a prime number?
Result: False
Statement: Is 1146469 a composite number?
Result: True
Statement: Is 2267 a prime number?
Result: True
Statement: Is 184890449 a composite number?
Result: False
Statement: Is 988904003 prime?
Result: True
Statement: Is 2331775733 a composite number?
Result: True
Statement: Is 1338781 a composite number?
Result: False
Statement: Is 10297 a prime number?
Result: False
Statement: Is 156185403121 composite?
Result: True
Statement: Is 48973 a prime number?
Result: True
Statement: Is 762656891 prime?
Result: False
Statement: Is 61763239 prime?
Result: False
Statement:
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measurement: time
-----------------
Step: How many minutes are there between 6:55 PM and 9:34 PM?
Answer: 159
Step: How many minutes are there between 10:13 PM and 7:29 AM?
Answer: 556
Step: What is 404 minutes after 10:47 PM?
Answer: 5:31 AM
Step: How many minutes are there between 11:28 AM and 12:07 PM?
Answer: 39
Step: What is 77 minutes before 5:27 PM?
Answer: 4:10 PM
Step: How many minutes are there between 11:46 AM and 9:43 PM?
Answer: 597
Step: How many minutes are there between 10:58 PM and 3:50 AM?
Answer: 292
Step: How many minutes are there between 2:22 PM and 7:35 PM?
Answer: 313
Step: How many minutes are there between 4:17 PM and 9:59 PM?
Answer: 342
Step: What is 36 minutes before 4:16 AM?
Answer: 3:40 AM
Step: How many minutes are there between 4:26 AM and 1:44 PM?
Answer: 558
Step: How many minutes are there between 8:48 AM and 10:58 AM?
Answer: 130
Step: What is 680 minutes after 6:56 PM?
Answer: 6:16 AM
Step: How many minutes are there between 9:10 PM and 8:14 AM?
Answer: 664
Step: How many minutes are there between 2:47 PM and 12:31 AM?
Answer: 584
Step: How many minutes are there between 11:15 AM and 10:15 PM?
Answer: 660
Step: How many minutes are there between 5:37 AM and 11:49 AM?
Answer: 372
Step: What is 170 minutes before 1:56 PM?
Answer: 11:06 AM
Step: How many minutes are there between 2:51 AM and 8:09 AM?
Answer: 318
Step: What is 155 minutes after 8:39 PM?
Answer: 11:14 PM
Step: What is 385 minutes after 5:46 PM?
Answer: 12:11 AM
Step: What is 149 minutes before 3:02 PM?
Answer: 12:33 PM
Step: How many minutes are there between 5:13 AM and 2:11 PM?
Answer: 538
Step: What is 710 minutes after 5:21 PM?
Answer: 5:11 AM
Step: How many minutes are there between 11:31 AM and 4:31 PM?
Answer: 300
Step: How many minutes are there between 1:55 PM and 8:07 PM?
Answer: 372
Step: How many minutes are there between 5:39 AM and 10:35 AM?
Answer: 296
Step: What is 627 minutes before 12:59 PM?
Answer: 2:32 AM
Step: What is 374 minutes before 5:20 PM?
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measurement: conversion
-----------------------
Puzzle: How many millennia are there in 9.367278 centuries?
Reply: 0.9367278
Puzzle: How many tonnes are there in 513294.4g?
Reply: 0.5132944
Puzzle: What is twenty-one quarters of a tonne in kilograms?
Reply: 5250
Puzzle: What is 234.5258ug in grams?
Reply: 0.0002345258
Puzzle: What is 33039.45g in micrograms?
Reply: 33039450000
Puzzle: What is 96.86402t in nanograms?
Reply: 96864020000000000
Puzzle: What is 0.0412685 years in decades?
Reply: 0.00412685
Puzzle: How many millilitres are there in twenty-nine fifths of a litre?
Reply: 5800
Puzzle: What is 75/8 of a litre in millilitres?
Reply: 9375
Puzzle: How many months are there in four fifteenths of a millennium?
Reply: 3200
Puzzle: How many days are there in 1.9187121 hours?
Reply: 0.0799463375
Puzzle: What is twenty-seven halves of a day in hours?
Reply: 324
Puzzle: What is seven eighths of a centimeter in micrometers?
Reply: 8750
Puzzle: How many millilitres are there in five quarters of a litre?
Reply: 1250
Puzzle: What is 1258245.3 months in millennia?
Reply: 104.853775
Puzzle: What is 482526.9 kilograms in grams?
Reply: 482526900
Puzzle: Convert 121994.3781 milliseconds to weeks.
Reply: 0.00020171028125
Puzzle: How many nanograms are there in 55.29936mg?
Reply: 55299360
Puzzle: What is 49/4 of a litre in millilitres?
Reply: 12250
Puzzle: Convert 97447.56m to micrometers.
Reply: 97447560000
Puzzle: What is twenty-five eighths of a gram in milligrams?
Reply: 3125
Puzzle: What is 0.663002mg in grams?
Reply: 0.000663002
Puzzle: How many months are there in two fifteenths of a millennium?
Reply: 1600
Puzzle: How many meters are there in three eighths of a kilometer?
Reply: 375
Puzzle: What is seven quarters of a millennium in months?
Reply: 21000
Puzzle: What is 3/10 of a centimeter in millimeters?
Reply: 3
Puzzle: How many centuries are there in 42/5 of a millennium?
Reply: 84
Puzzle: How many millilitres are there in 34/5 of a litre?
Reply: 6800
Puzzle: How many y
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|
numbers: gcd
------------
Issue: What is the highest common divisor of 612 and 18?
Outcome: 18
Issue: What is the greatest common divisor of 651 and 1054?
Outcome: 31
Issue: Calculate the highest common factor of 5005 and 414960.
Outcome: 455
Issue: What is the highest common divisor of 52 and 5816?
Outcome: 4
Issue: Calculate the highest common divisor of 250 and 20.
Outcome: 10
Issue: Calculate the greatest common divisor of 1254 and 8094.
Outcome: 114
Issue: Calculate the highest common factor of 20 and 188290.
Outcome: 10
Issue: What is the greatest common factor of 36 and 234?
Outcome: 18
Issue: What is the highest common factor of 864 and 13716?
Outcome: 108
Issue: Calculate the highest common divisor of 2 and 159.
Outcome: 1
Issue: Calculate the highest common divisor of 27 and 1971.
Outcome: 27
Issue: What is the highest common divisor of 942150 and 40?
Outcome: 10
Issue: Calculate the greatest common factor of 4194 and 18.
Outcome: 18
Issue: What is the highest common factor of 2651 and 268368683?
Outcome: 2651
Issue: Calculate the greatest common factor of 95088 and 1036.
Outcome: 28
Issue: Calculate the highest common divisor of 37 and 144707.
Outcome: 37
Issue: Calculate the greatest common divisor of 20 and 69620.
Outcome: 20
Issue: What is the greatest common divisor of 1233 and 4725404?
Outcome: 137
Issue: What is the greatest common divisor of 58 and 1790985567?
Outcome: 29
Issue: What is the greatest common factor of 434 and 1173200?
Outcome: 14
Issue: Calculate the greatest common divisor of 54 and 5427.
Outcome: 27
Issue: Calculate the greatest common factor of 56 and 896.
Outcome: 56
Issue: What is the highest common divisor of 132 and 2838?
Outcome: 66
Issue: Calculate the greatest common factor of 106 and 2862.
Outcome: 106
Issue: Calculate the greatest common factor of 1976 and 143.
Outcome: 13
Issue: Calculate the greatest common divisor of 1984 and 32.
Outcome: 32
Issue: What is the greatest common factor of 768 and 1896?
Outcome: 24
Issue:
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english
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measurement: conversion
-----------------------
Problem Statement: How many micrograms are there in seven eighths of a milligram?
Response: 875
Problem Statement: How many millilitres are there in 1/4 of a litre?
Response: 250
Problem Statement: What is 15/4 of a kilogram in grams?
Response: 3750
Problem Statement: How many millilitres are there in 1/10 of a litre?
Response: 100
Problem Statement: Convert 462.283 milligrams to nanograms.
Response: 462283000
Problem Statement: Convert 580.6367 kilometers to meters.
Response: 580636.7
Problem Statement: What is one tenth of a litre in millilitres?
Response: 100
Problem Statement: What is 1/20 of a centimeter in micrometers?
Response: 500
Problem Statement: What is eight thirds of a week in minutes?
Response: 26880
Problem Statement: How many millimeters are there in 1/4 of a meter?
Response: 250
Problem Statement: How many millennia are there in 707.575 years?
Response: 0.707575
Problem Statement: Convert 2.568577 years to millennia.
Response: 0.002568577
Problem Statement: What is twenty-seven fifths of a gram in milligrams?
Response: 5400
Problem Statement: How many millilitres are there in twenty-seven fifths of a litre?
Response: 5400
Problem Statement: What is 8/25 of a litre in millilitres?
Response: 320
Problem Statement: How many nanometers are there in 6451.681mm?
Response: 6451681000
Problem Statement: Convert 7.572641l to millilitres.
Response: 7572.641
Problem Statement: What is 5/6 of a hour in seconds?
Response: 3000
Problem Statement: What is 15.47153 kilograms in tonnes?
Response: 0.01547153
Problem Statement: Convert 5.265362 years to millennia.
Response: 0.005265362
Problem Statement: Convert 92.061564 hours to weeks.
Response: 0.5479855
Problem Statement: What is 31.62538kg in tonnes?
Response: 0.03162538
Problem Statement: How many milliseconds are there in 441.64 weeks?
Response: 267103872000
Problem Statement: What is 857.9626l in millilitres?
Response: 857962.6
Problem Statement: What is 1.76598
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numbers: is prime
-----------------
Item: Is 471 a prime number?
Math A: False
Item: Is 436919 prime?
Math A: False
Item: Is 101765737 composite?
Math A: True
Item: Is 25045 prime?
Math A: False
Item: Is 2110709 a prime number?
Math A: True
Item: Is 36633173 a composite number?
Math A: False
Item: Is 2785 a prime number?
Math A: False
Item: Is 312826141 a prime number?
Math A: False
Item: Is 183410378 a composite number?
Math A: True
Item: Is 647845073 a composite number?
Math A: True
Item: Is 463 composite?
Math A: False
Item: Is 34999 prime?
Math A: False
Item: Is 6559 composite?
Math A: True
Item: Is 24851 a composite number?
Math A: False
Item: Is 37595473 prime?
Math A: True
Item: Is 332623487 a prime number?
Math A: False
Item: Is 28687 a prime number?
Math A: True
Item: Is 3611 a composite number?
Math A: True
Item: Is 36602 a composite number?
Math A: True
Item: Is 28023091 prime?
Math A: True
Item: Is 276111641 prime?
Math A: False
Item: Is 167438003017 a composite number?
Math A: True
Item: Is 125925557 a prime number?
Math A: True
Item: Is 8509 a composite number?
Math A: True
Item: Is 302033317 composite?
Math A: True
Item: Is 3908306123 composite?
Math A: True
Item: Is 345413 composite?
Math A: False
Item: Is 122079 composite?
Math A: True
Item: Is 27179 composite?
Math A: False
Item: Is 12388333 composite?
Math A: True
Item: Is 28772263477 a prime number?
Math A: True
Item: Is 461711 composite?
Math A: True
Item: Is 11957063 prime?
Math A: False
Item: Is 6433 composite?
Math A: True
Item: Is 16640317 a prime number?
Math A: True
Item: Is 70113809 prime?
Math A: True
Item: Is 1283411 prime?
Math A: False
Item: Is 64133 prime?
Math A: False
Item: Is 1285607 a prime number?
Math A: True
Item: Is 8754157 a composite number?
Math A: False
Item: Is 13482394061 a composite number?
Math A: False
Item: Is 225427 a prime number?
Math A: True
Item: Is 1807307 a prime number?
Math A: False
Item: Is 25009049369 prime?
Math A: True
Item: Is 1641813583 prime?
Math A:
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probability: swr p sequence
---------------------------
Inquiry: Two letters picked without replacement from {n: 1, a: 6, g: 2, z: 5, e: 1, p: 5}. Give prob of sequence zg.
Ans: 1/38
Inquiry: Two letters picked without replacement from {r: 3, a: 3}. What is prob of sequence aa?
Ans: 1/5
Inquiry: Four letters picked without replacement from hmpbbmtbeheeeempebb. What is prob of sequence hppe?
Ans: 1/3876
Inquiry: Three letters picked without replacement from {d: 3, v: 3, o: 2, g: 1, n: 4, z: 2}. What is prob of sequence znz?
Ans: 4/1365
Inquiry: Two letters picked without replacement from emmmeabfmetm. What is prob of sequence bt?
Ans: 1/132
Inquiry: Two letters picked without replacement from raylrlrlrdalrdladr. What is prob of sequence da?
Ans: 1/34
Inquiry: Calculate prob of sequence ipr when three letters picked without replacement from piqqri.
Ans: 1/60
Inquiry: Four letters picked without replacement from {z: 5, d: 14}. Give prob of sequence zzzz.
Ans: 5/3876
Inquiry: Two letters picked without replacement from {c: 5, q: 2, f: 1, z: 1}. Give prob of sequence cq.
Ans: 5/36
Inquiry: What is prob of sequence oa when two letters picked without replacement from cccooooocooao?
Ans: 2/39
Inquiry: Three letters picked without replacement from vpvvvvvcvc. Give prob of sequence vvv.
Ans: 7/24
Inquiry: Three letters picked without replacement from {s: 1, q: 2, z: 3, l: 1, h: 1, o: 3}. What is prob of sequence lzs?
Ans: 1/330
Inquiry: What is prob of sequence tlta when four letters picked without replacement from {l: 1, a: 3, o: 6, t: 4}?
Ans: 3/2002
Inquiry: Three letters picked without replacement from {o: 7, q: 6}. What is prob of sequence oqo?
Ans: 21/143
Inquiry: Calculate prob of sequence ciwc when four letters picked without replacement from jqjiwwwwjwwcwiwwcc.
Ans: 1/680
Inquiry: What is prob of sequence ht when two letters picked without replacement from xxtvttxtxht?
Ans: 1/22
Inquiry: Calculate prob of sequence dped when four letters picked without replacement fro
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arithmetic: nearest integer root
--------------------------------
Issue: What is 82652 to the power of 1/8, to the nearest integer?
→: 4
Issue: What is 39513 to the power of 1/6, to the nearest integer?
→: 6
Issue: What is the eighth root of 28400300 to the nearest integer?
→: 9
Issue: What is 6487 to the power of 1/10, to the nearest integer?
→: 2
Issue: What is the square root of 16445 to the nearest integer?
→: 128
Issue: What is the cube root of 108320 to the nearest integer?
→: 48
Issue: What is the eighth root of 649862816 to the nearest integer?
→: 13
Issue: What is the seventh root of 1691054683 to the nearest integer?
→: 21
Issue: What is the fifth root of 2795684427 to the nearest integer?
→: 77
Issue: What is the fifth root of 3188508 to the nearest integer?
→: 20
Issue: What is 74523 to the power of 1/4, to the nearest integer?
→: 17
Issue: What is 4516 to the power of 1/3, to the nearest integer?
→: 17
Issue: What is the square root of 3518723 to the nearest integer?
→: 1876
Issue: What is the cube root of 8155439 to the nearest integer?
→: 201
Issue: What is 674414 to the power of 1/7, to the nearest integer?
→: 7
Issue: What is the square root of 14266 to the nearest integer?
→: 119
Issue: What is the square root of 9603340759 to the nearest integer?
→: 97997
Issue: What is the third root of 363 to the nearest integer?
→: 7
Issue: What is 1332 to the power of 1/2, to the nearest integer?
→: 36
Issue: What is 1953875403 to the power of 1/5, to the nearest integer?
→: 72
Issue: What is 22646629 to the power of 1/2, to the nearest integer?
→: 4759
Issue: What is the seventh root of 4821229 to the nearest integer?
→: 9
Issue: What is the third root of 1584 to the nearest integer?
→: 12
Issue: What is 2924055 to the power of 1/10, to the nearest integer?
→: 4
Issue: What is 7556989 to the power of 1/3, to the nearest integer?
→: 196
Issue: What is 628573 to the power of 1/6, to the nearest integer?
→: 9
Issue: What is the square root of 1632669624 to the n
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probability: swr p sequence
---------------------------
Q): What is prob of sequence rr when two letters picked without replacement from {r: 2, v: 1, c: 1, w: 1}?
Gives: 1/10
Q): Two letters picked without replacement from {q: 1, s: 1, c: 2, k: 2}. What is prob of sequence qs?
Gives: 1/30
Q): What is prob of sequence hy when two letters picked without replacement from mtluhlhhhyul?
Gives: 1/33
Q): What is prob of sequence hggd when four letters picked without replacement from hggd?
Gives: 1/12
Q): Two letters picked without replacement from imdidiidm. Give prob of sequence mm.
Gives: 1/36
Q): Four letters picked without replacement from skckssvcs. What is prob of sequence vkcc?
Gives: 1/756
Q): Two letters picked without replacement from {h: 3, w: 12}. Give prob of sequence hw.
Gives: 6/35
Q): Two letters picked without replacement from {t: 5, r: 3, e: 1, k: 1, c: 4}. What is prob of sequence cr?
Gives: 6/91
Q): Two letters picked without replacement from ppn. Give prob of sequence pn.
Gives: 1/3
Q): Two letters picked without replacement from doodo. What is prob of sequence do?
Gives: 3/10
Q): Four letters picked without replacement from kkkgkkqgggkggkgpk. Give prob of sequence ggqg.
Gives: 1/272
Q): Two letters picked without replacement from mkmmmk. What is prob of sequence km?
Gives: 4/15
Q): Calculate prob of sequence bjb when three letters picked without replacement from {i: 7, j: 1, b: 7, a: 1, w: 1}.
Gives: 7/680
Q): Four letters picked without replacement from wowwoooodoowowwowwwo. What is prob of sequence wooo?
Gives: 18/323
Q): What is prob of sequence zm when two letters picked without replacement from zmmmzkkmzzzzmmz?
Gives: 1/5
Q): Four letters picked without replacement from {z: 1, d: 1, u: 2, n: 2, c: 2}. Give prob of sequence zudn.
Gives: 1/420
Q): What is prob of sequence qnng when four letters picked without replacement from {q: 2, g: 3, n: 5}?
Gives: 1/42
Q): Three letters picked without replacement from {g: 2, n: 4, r: 2, d: 6, f: 2, m: 1}. Give
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measurement: time
-----------------
Q/A: How many minutes are there between 1:41 PM and 1:30 AM?
Steps: 709
Q/A: What is 492 minutes before 3:49 PM?
Steps: 7:37 AM
Q/A: What is 496 minutes before 1:46 AM?
Steps: 5:30 PM
Q/A: How many minutes are there between 1:07 AM and 12:37 PM?
Steps: 690
Q/A: How many minutes are there between 4:48 AM and 8:05 AM?
Steps: 197
Q/A: How many minutes are there between 8:32 PM and 7:02 AM?
Steps: 630
Q/A: How many minutes are there between 11:16 AM and 5:56 PM?
Steps: 400
Q/A: How many minutes are there between 11:07 PM and 7:57 AM?
Steps: 530
Q/A: What is 624 minutes after 8:05 AM?
Steps: 6:29 PM
Q/A: How many minutes are there between 2:34 PM and 10:22 PM?
Steps: 468
Q/A: How many minutes are there between 11:19 AM and 9:00 PM?
Steps: 581
Q/A: How many minutes are there between 7:19 PM and 7:04 AM?
Steps: 705
Q/A: What is 423 minutes after 9:10 PM?
Steps: 4:13 AM
Q/A: What is 429 minutes after 8:10 AM?
Steps: 3:19 PM
Q/A: What is 238 minutes before 6:02 PM?
Steps: 2:04 PM
Q/A: How many minutes are there between 12:13 AM and 12:27 AM?
Steps: 14
Q/A: How many minutes are there between 10:18 AM and 8:30 PM?
Steps: 612
Q/A: What is 359 minutes after 8:27 AM?
Steps: 2:26 PM
Q/A: How many minutes are there between 3:36 PM and 1:53 AM?
Steps: 617
Q/A: How many minutes are there between 12:22 AM and 10:33 AM?
Steps: 611
Q/A: What is 98 minutes after 4:31 AM?
Steps: 6:09 AM
Q/A: How many minutes are there between 4:09 PM and 2:39 AM?
Steps: 630
Q/A: How many minutes are there between 8:34 PM and 2:34 AM?
Steps: 360
Q/A: How many minutes are there between 2:15 AM and 10:43 AM?
Steps: 508
Q/A: What is 472 minutes after 10:52 AM?
Steps: 6:44 PM
Q/A: What is 504 minutes after 8:38 AM?
Steps: 5:02 PM
Q/A: How many minutes are there between 5:09 AM and 8:05 AM?
Steps: 176
Q/A: How many minutes are there between 10:58 PM and 4:21 AM?
Steps: 323
Q/A: How many minutes are there between 7:10 PM and 5:44 AM?
Steps: 634
Q/A: How many minutes are there
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numbers: gcd
------------
Exercise: What is the highest common divisor of 678680964 and 23?
Steps: 23
Exercise: Calculate the highest common divisor of 94 and 8.
Steps: 2
Exercise: Calculate the greatest common divisor of 247070 and 6145.
Steps: 5
Exercise: What is the highest common factor of 8890 and 4318?
Steps: 254
Exercise: What is the highest common divisor of 262 and 7729?
Steps: 131
Exercise: What is the highest common divisor of 6893 and 4819?
Steps: 61
Exercise: Calculate the greatest common divisor of 209501 and 12639.
Steps: 383
Exercise: What is the highest common divisor of 7973 and 119?
Steps: 119
Exercise: Calculate the greatest common factor of 1399326 and 15.
Steps: 3
Exercise: Calculate the highest common factor of 3872 and 3509.
Steps: 121
Exercise: What is the highest common factor of 171 and 2337?
Steps: 57
Exercise: What is the greatest common factor of 176 and 638?
Steps: 22
Exercise: Calculate the greatest common factor of 51 and 51.
Steps: 51
Exercise: Calculate the highest common factor of 513 and 1387.
Steps: 19
Exercise: What is the greatest common divisor of 272 and 28696?
Steps: 136
Exercise: Calculate the greatest common divisor of 48620 and 23439260.
Steps: 4420
Exercise: What is the highest common divisor of 17561 and 2584289?
Steps: 17
Exercise: Calculate the highest common factor of 3404724 and 672.
Steps: 12
Exercise: What is the greatest common divisor of 4823 and 2100040306?
Steps: 4823
Exercise: Calculate the greatest common divisor of 26625 and 157875.
Steps: 375
Exercise: Calculate the greatest common divisor of 513976 and 328.
Steps: 328
Exercise: What is the greatest common divisor of 456 and 23304621?
Steps: 57
Exercise: What is the greatest common factor of 504 and 1575?
Steps: 63
Exercise: What is the highest common divisor of 14865066 and 178506?
Steps: 846
Exercise: What is the greatest common factor of 150 and 7400?
Steps: 50
Exercise: Calculate the highest common divisor of 128 and 1448.
Steps: 8
Exercise: What is t
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probability: swr p level set
----------------------------
Let: Four letters picked without replacement from {w: 3, u: 2}. What is prob of picking 3 u and 1 w?
Ans: 0
Let: Two letters picked without replacement from {j: 2, w: 1, t: 3, i: 1}. Give prob of picking 1 j and 1 t.
Ans: 2/7
Let: Calculate prob of picking 1 h and 2 l when three letters picked without replacement from {l: 2, z: 8, m: 2, h: 2, w: 1, p: 4}.
Ans: 2/969
Let: Four letters picked without replacement from {m: 3, c: 7}. Give prob of picking 1 m and 3 c.
Ans: 1/2
Let: Two letters picked without replacement from iuuuuiiuuuiiu. What is prob of picking 2 i?
Ans: 5/39
Let: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {k: 1, j: 1, r: 2, c: 2, a: 1}.
Ans: 1/21
Let: Four letters picked without replacement from {y: 19, d: 1}. What is prob of picking 2 y and 2 d?
Ans: 0
Let: Four letters picked without replacement from {c: 5, k: 13}. What is prob of picking 4 k?
Ans: 143/612
Let: Three letters picked without replacement from ssbbbbsbbbbbbbb. Give prob of picking 1 s and 2 b.
Ans: 198/455
Let: Three letters picked without replacement from brrrbbkb. Give prob of picking 2 b and 1 k.
Ans: 3/28
Let: Four letters picked without replacement from clcxxclxcblxxx. Give prob of picking 1 x, 1 b, and 2 c.
Ans: 36/1001
Let: Three letters picked without replacement from yyykypkpyykkyy. Give prob of picking 2 y and 1 k.
Ans: 4/13
Let: Two letters picked without replacement from zdz. What is prob of picking 1 z and 1 d?
Ans: 2/3
Let: Two letters picked without replacement from ffnn. What is prob of picking 2 f?
Ans: 1/6
Let: What is prob of picking 1 k and 2 c when three letters picked without replacement from {k: 5, c: 7}?
Ans: 21/44
Let: Three letters picked without replacement from pkkfeepfppmpkpmgmpmm. What is prob of picking 1 k, 1 m, and 1 e?
Ans: 1/38
Let: Two letters picked without replacement from vpppv. What is prob of picking 1 p and 1 v?
Ans: 3/5
Let: Two letters picked w
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measurement: conversion
-----------------------
Math Problem: How many grams are there in 0.1392327 tonnes?
Thus: 139232.7
Math Problem: Convert 87.72842l to millilitres.
Thus: 87728.42
Math Problem: How many micrometers are there in 18/5 of a centimeter?
Thus: 36000
Math Problem: How many hours are there in seven sixths of a week?
Thus: 196
Math Problem: Convert 3450.633 decades to centuries.
Thus: 345.0633
Math Problem: How many decades are there in 0.8819149 millennia?
Thus: 88.19149
Math Problem: How many months are there in one sixth of a year?
Thus: 2
Math Problem: Convert 20481.09 litres to millilitres.
Thus: 20481090
Math Problem: What is 6.323073nm in centimeters?
Thus: 0.0000006323073
Math Problem: How many days are there in 673.83216 minutes?
Thus: 0.467939
Math Problem: How many decades are there in 509075.4 months?
Thus: 4242.295
Math Problem: What is 13/5 of a centimeter in millimeters?
Thus: 26
Math Problem: Convert 38.2593 decades to months.
Thus: 4591.116
Math Problem: How many grams are there in 592.4241 milligrams?
Thus: 0.5924241
Math Problem: How many millilitres are there in 11.24719l?
Thus: 11247.19
Math Problem: Convert 9869.111t to nanograms.
Thus: 9869111000000000000
Math Problem: How many nanoseconds are there in 3/50 of a microsecond?
Thus: 60
Math Problem: Convert 89685.86 litres to millilitres.
Thus: 89685860
Math Problem: Convert 3.208666 milligrams to nanograms.
Thus: 3208666
Math Problem: What is 8.703303 centuries in months?
Thus: 10443.9636
Math Problem: What is 9.049922kg in grams?
Thus: 9049.922
Math Problem: Convert 4.599354 millilitres to litres.
Thus: 0.004599354
Math Problem: How many grams are there in 3/10 of a kilogram?
Thus: 300
Math Problem: Convert 5.841317 weeks to hours.
Thus: 981.341256
Math Problem: What is 105.9146 millilitres in litres?
Thus: 0.1059146
Math Problem: How many nanograms are there in 9854.374g?
Thus: 9854374000000
Math Problem: How many grams are there in 1/4 of a kilogram?
Thus: 250
Math Problem: Co
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numbers: place value
--------------------
Subject: What is the tens digit of 652?
Interpretation: 5
Subject: What is the thousands digit of 1802?
Interpretation: 1
Subject: What is the thousands digit of 20768477?
Interpretation: 8
Subject: What is the hundreds digit of 2150275089?
Interpretation: 0
Subject: What is the ten thousands digit of 785499?
Interpretation: 8
Subject: What is the tens digit of 253913175?
Interpretation: 7
Subject: What is the tens digit of 559880?
Interpretation: 8
Subject: What is the tens digit of 4534?
Interpretation: 3
Subject: What is the units digit of 1466145?
Interpretation: 5
Subject: What is the millions digit of 88094975?
Interpretation: 8
Subject: What is the hundreds digit of 77011420?
Interpretation: 4
Subject: What is the hundred millions digit of 106482905?
Interpretation: 1
Subject: What is the ten millions digit of 29512630?
Interpretation: 2
Subject: What is the units digit of 416?
Interpretation: 6
Subject: What is the ten thousands digit of 2453414?
Interpretation: 5
Subject: What is the tens digit of 1558?
Interpretation: 5
Subject: What is the tens digit of 81775?
Interpretation: 7
Subject: What is the thousands digit of 511447?
Interpretation: 1
Subject: What is the hundred thousands digit of 132779?
Interpretation: 1
Subject: What is the ten millions digit of 125440666?
Interpretation: 2
Subject: What is the hundreds digit of 55765?
Interpretation: 7
Subject: What is the ten millions digit of 99964655?
Interpretation: 9
Subject: What is the billions digit of 1246123730?
Interpretation: 1
Subject: What is the thousands digit of 1150?
Interpretation: 1
Subject: What is the thousands digit of 64216654?
Interpretation: 6
Subject: What is the tens digit of 316976?
Interpretation: 7
Subject: What is the hundreds digit of 63828546?
Interpretation: 5
Subject: What is the millions digit of 1202519793?
Interpretation: 2
Subject: What is the hundreds digit of 6858?
Interpretation: 8
Subject: What is the hundred thousands digit
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numbers: place value
--------------------
Topic: What is the hundreds digit of 566552301?
Reply: 3
Topic: What is the tens digit of 1646?
Reply: 4
Topic: What is the thousands digit of 1375?
Reply: 1
Topic: What is the billions digit of 1030750275?
Reply: 1
Topic: What is the thousands digit of 4918?
Reply: 4
Topic: What is the units digit of 413639493?
Reply: 3
Topic: What is the hundred millions digit of 1336651980?
Reply: 3
Topic: What is the tens digit of 3003664?
Reply: 6
Topic: What is the units digit of 1947?
Reply: 7
Topic: What is the tens digit of 3031?
Reply: 3
Topic: What is the units digit of 2988?
Reply: 8
Topic: What is the ten thousands digit of 37598?
Reply: 3
Topic: What is the thousands digit of 1779?
Reply: 1
Topic: What is the thousands digit of 290379031?
Reply: 9
Topic: What is the units digit of 76452765?
Reply: 5
Topic: What is the hundreds digit of 491119524?
Reply: 5
Topic: What is the hundreds digit of 9784?
Reply: 7
Topic: What is the units digit of 19310747?
Reply: 7
Topic: What is the hundred thousands digit of 25913972?
Reply: 9
Topic: What is the tens digit of 63000763?
Reply: 6
Topic: What is the ten thousands digit of 94533534?
Reply: 3
Topic: What is the hundred thousands digit of 242330763?
Reply: 3
Topic: What is the tens digit of 91346?
Reply: 4
Topic: What is the thousands digit of 215634619?
Reply: 4
Topic: What is the ten thousands digit of 353074?
Reply: 5
Topic: What is the units digit of 2443?
Reply: 3
Topic: What is the tens digit of 2830?
Reply: 3
Topic: What is the tens digit of 60667?
Reply: 6
Topic: What is the tens digit of 20684?
Reply: 8
Topic: What is the hundred thousands digit of 2305836256?
Reply: 8
Topic: What is the billions digit of 1226571738?
Reply: 1
Topic: What is the millions digit of 852657951?
Reply: 2
Topic: What is the units digit of 470777?
Reply: 7
Topic: What is the hundreds digit of 159009?
Reply: 0
Topic: What is the millions digit of 693681786?
Reply: 3
Topic: What is the hundred millions dig
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english
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probability: swr p level set
----------------------------
Query: What is prob of picking 2 i and 1 f when three letters picked without replacement from {i: 1, f: 1, e: 2}?
Interpretation: 0
Query: Three letters picked without replacement from bbgbgbgb. What is prob of picking 3 g?
Interpretation: 1/56
Query: Calculate prob of picking 1 i, 1 m, and 1 j when three letters picked without replacement from jnimfpni.
Interpretation: 1/28
Query: What is prob of picking 2 q when two letters picked without replacement from {q: 6, l: 1, s: 9, x: 1}?
Interpretation: 15/136
Query: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {r: 1, j: 11}.
Interpretation: 1/6
Query: Four letters picked without replacement from {l: 9, q: 3}. What is prob of picking 3 l and 1 q?
Interpretation: 28/55
Query: Calculate prob of picking 3 o when three letters picked without replacement from {o: 6, f: 4}.
Interpretation: 1/6
Query: Three letters picked without replacement from {a: 1, w: 3, c: 1, s: 3, q: 2}. Give prob of picking 1 w, 1 q, and 1 a.
Interpretation: 1/20
Query: Two letters picked without replacement from dkkkkbddkkd. Give prob of picking 2 d.
Interpretation: 6/55
Query: Two letters picked without replacement from mmmmccmc. Give prob of picking 2 m.
Interpretation: 5/14
Query: What is prob of picking 2 w and 1 z when three letters picked without replacement from zzwwz?
Interpretation: 3/10
Query: Two letters picked without replacement from mqmfmmpffnm. What is prob of picking 1 p and 1 q?
Interpretation: 1/55
Query: Two letters picked without replacement from hclrcerrryrrryrryyyr. Give prob of picking 1 y and 1 e.
Interpretation: 1/38
Query: Calculate prob of picking 2 q when two letters picked without replacement from {l: 1, d: 6, s: 2, a: 1, q: 2}.
Interpretation: 1/66
Query: What is prob of picking 2 n when two letters picked without replacement from {n: 4, s: 2, d: 1, m: 2}?
Interpretation: 1/6
Query: Two letters picked without replacement fro
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english
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probability: swr p level set
----------------------------
Exercise: Three letters picked without replacement from dddduuuuddd. What is prob of picking 3 d?
Yields: 7/33
Exercise: Three letters picked without replacement from {j: 7, w: 2}. Give prob of picking 3 j.
Yields: 5/12
Exercise: Two letters picked without replacement from umdvmvvmvvdmdmmmmv. Give prob of picking 1 v and 1 m.
Yields: 16/51
Exercise: Three letters picked without replacement from bnrroor. What is prob of picking 2 o and 1 b?
Yields: 1/35
Exercise: Calculate prob of picking 1 t and 2 j when three letters picked without replacement from jtjjtjjjjjjjjtj.
Yields: 198/455
Exercise: What is prob of picking 1 z, 1 i, and 2 q when four letters picked without replacement from {b: 3, z: 4, x: 2, i: 2, q: 2}?
Yields: 8/715
Exercise: Four letters picked without replacement from {n: 3, d: 3, p: 1, u: 1, q: 2}. Give prob of picking 1 d, 1 n, 1 q, and 1 p.
Yields: 3/35
Exercise: What is prob of picking 4 v when four letters picked without replacement from {r: 9, v: 7}?
Yields: 1/52
Exercise: What is prob of picking 1 b and 1 a when two letters picked without replacement from {u: 1, y: 3, m: 1, a: 4, e: 2, b: 1}?
Yields: 2/33
Exercise: Two letters picked without replacement from {i: 2, u: 1, s: 2, x: 4}. Give prob of picking 2 x.
Yields: 1/6
Exercise: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {n: 5, v: 2}.
Yields: 10/21
Exercise: Four letters picked without replacement from {d: 5, f: 7, z: 2, t: 4}. What is prob of picking 2 d and 2 z?
Yields: 1/306
Exercise: Four letters picked without replacement from owfubfbfkwuo. What is prob of picking 1 u, 2 o, and 1 f?
Yields: 2/165
Exercise: What is prob of picking 2 k when two letters picked without replacement from {k: 10}?
Yields: 1
Exercise: Calculate prob of picking 2 r when two letters picked without replacement from rrrrrqqqrqrqq.
Yields: 7/26
Exercise: Calculate prob of picking 2 c and 1 x when three letters picked w
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english
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numbers: place value
--------------------
Math Problem: What is the hundreds digit of 304?
Explanation: 3
Math Problem: What is the tens digit of 657?
Explanation: 5
Math Problem: What is the thousands digit of 42419?
Explanation: 2
Math Problem: What is the units digit of 7?
Explanation: 7
Math Problem: What is the tens digit of 1406?
Explanation: 0
Math Problem: What is the units digit of 793?
Explanation: 3
Math Problem: What is the hundred thousands digit of 1016327?
Explanation: 0
Math Problem: What is the hundreds digit of 4782908?
Explanation: 9
Math Problem: What is the thousands digit of 2037?
Explanation: 2
Math Problem: What is the hundreds digit of 151272?
Explanation: 2
Math Problem: What is the hundreds digit of 163342?
Explanation: 3
Math Problem: What is the thousands digit of 3033428583?
Explanation: 8
Math Problem: What is the hundreds digit of 9498348?
Explanation: 3
Math Problem: What is the hundreds digit of 892420?
Explanation: 4
Math Problem: What is the thousands digit of 31342?
Explanation: 1
Math Problem: What is the millions digit of 3791585871?
Explanation: 1
Math Problem: What is the billions digit of 1724044915?
Explanation: 1
Math Problem: What is the thousands digit of 201209?
Explanation: 1
Math Problem: What is the tens digit of 152140?
Explanation: 4
Math Problem: What is the hundreds digit of 1686428?
Explanation: 4
Math Problem: What is the units digit of 2438023?
Explanation: 3
Math Problem: What is the ten thousands digit of 28642?
Explanation: 2
Math Problem: What is the ten millions digit of 1021495426?
Explanation: 2
Math Problem: What is the tens digit of 466069061?
Explanation: 6
Math Problem: What is the hundred millions digit of 128587792?
Explanation: 1
Math Problem: What is the units digit of 150247?
Explanation: 7
Math Problem: What is the ten thousands digit of 29315755?
Explanation: 1
Math Problem: What is the ten thousands digit of 93385?
Explanation: 9
Math Problem: What is the tens digit of 1857189316?
Explanatio
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english
|
probability: swr p sequence
---------------------------
Challenge: What is prob of sequence jb when two letters picked without replacement from {b: 2, j: 3, f: 3}?
Thus: 3/28
Challenge: What is prob of sequence atw when three letters picked without replacement from {w: 3, a: 6, u: 1, t: 2, r: 4}?
Thus: 3/280
Challenge: Calculate prob of sequence lda when three letters picked without replacement from {l: 1, d: 1, y: 2, j: 1, a: 1, e: 1}.
Thus: 1/210
Challenge: What is prob of sequence wxw when three letters picked without replacement from {w: 7, x: 9, d: 2}?
Thus: 21/272
Challenge: What is prob of sequence fq when two letters picked without replacement from {q: 1, f: 11, k: 7}?
Thus: 11/342
Challenge: Two letters picked without replacement from tvddtvrmcvmr. What is prob of sequence dt?
Thus: 1/33
Challenge: Calculate prob of sequence rh when two letters picked without replacement from rssshuh.
Thus: 1/21
Challenge: Calculate prob of sequence xoo when three letters picked without replacement from {x: 1, o: 3, l: 1}.
Thus: 1/10
Challenge: Calculate prob of sequence uo when two letters picked without replacement from udoou.
Thus: 1/5
Challenge: Calculate prob of sequence xxi when three letters picked without replacement from xxxxxxxxxixxixi.
Thus: 66/455
Challenge: Three letters picked without replacement from {g: 2, w: 6, x: 5, p: 1, i: 2, o: 3}. What is prob of sequence wgi?
Thus: 4/969
Challenge: Calculate prob of sequence xxk when three letters picked without replacement from {k: 1, l: 8, x: 4, s: 7}.
Thus: 1/570
Challenge: What is prob of sequence cccf when four letters picked without replacement from {c: 12, f: 3}?
Thus: 11/91
Challenge: Two letters picked without replacement from {y: 1, s: 5, p: 3, d: 4, m: 5}. Give prob of sequence yd.
Thus: 2/153
Challenge: What is prob of sequence zt when two letters picked without replacement from {z: 1, t: 1, v: 5, q: 2}?
Thus: 1/72
Challenge: What is prob of sequence hnj when three letters picked without replacement from {
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english
|
numbers: div remainder
----------------------
Situation: Calculate the remainder when 1484 is divided by 537.
A.: 410
Situation: What is the remainder when 5342817 is divided by 1780843?
A.: 288
Situation: What is the remainder when 91953 is divided by 209?
A.: 202
Situation: Calculate the remainder when 337 is divided by 72.
A.: 49
Situation: Calculate the remainder when 3316949 is divided by 100.
A.: 49
Situation: Calculate the remainder when 1753 is divided by 45.
A.: 43
Situation: Calculate the remainder when 49443 is divided by 726.
A.: 75
Situation: What is the remainder when 65427 is divided by 23?
A.: 15
Situation: What is the remainder when 192064 is divided by 192007?
A.: 57
Situation: What is the remainder when 201 is divided by 51?
A.: 48
Situation: What is the remainder when 25289 is divided by 429?
A.: 407
Situation: What is the remainder when 4879 is divided by 231?
A.: 28
Situation: Calculate the remainder when 40 is divided by 25.
A.: 15
Situation: What is the remainder when 11908 is divided by 353?
A.: 259
Situation: Calculate the remainder when 330105 is divided by 13.
A.: 9
Situation: Calculate the remainder when 1129066 is divided by 474.
A.: 472
Situation: What is the remainder when 6054 is divided by 2018?
A.: 0
Situation: Calculate the remainder when 1433 is divided by 19.
A.: 8
Situation: What is the remainder when 281 is divided by 31?
A.: 2
Situation: What is the remainder when 36736 is divided by 395?
A.: 1
Situation: Calculate the remainder when 194 is divided by 8.
A.: 2
Situation: What is the remainder when 1853643 is divided by 2671?
A.: 2640
Situation: Calculate the remainder when 2824 is divided by 11.
A.: 8
Situation: What is the remainder when 40833 is divided by 346?
A.: 5
Situation: What is the remainder when 346005 is divided by 11480?
A.: 1605
Situation: What is the remainder when 227422 is divided by 227403?
A.: 19
Situation: What is the remainder when 72836 is divided by 18205?
A.: 16
Situation: What is the remainder when 43
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english
|
measurement: time
-----------------
Prompt: How many minutes are there between 12:50 PM and 11:42 PM?
Sol: 652
Prompt: What is 697 minutes after 1:59 AM?
Sol: 1:36 PM
Prompt: How many minutes are there between 1:58 AM and 10:32 AM?
Sol: 514
Prompt: How many minutes are there between 4:01 PM and 5:01 PM?
Sol: 60
Prompt: What is 128 minutes before 10:58 PM?
Sol: 8:50 PM
Prompt: What is 432 minutes after 11:45 PM?
Sol: 6:57 AM
Prompt: What is 111 minutes before 7:55 AM?
Sol: 6:04 AM
Prompt: What is 400 minutes after 7:01 PM?
Sol: 1:41 AM
Prompt: What is 371 minutes before 2:14 AM?
Sol: 8:03 PM
Prompt: How many minutes are there between 4:31 PM and 11:59 PM?
Sol: 448
Prompt: What is 107 minutes after 6:43 PM?
Sol: 8:30 PM
Prompt: How many minutes are there between 8:15 PM and 8:24 PM?
Sol: 9
Prompt: What is 661 minutes after 11:55 AM?
Sol: 10:56 PM
Prompt: How many minutes are there between 7:04 PM and 7:57 PM?
Sol: 53
Prompt: How many minutes are there between 4:56 AM and 8:00 AM?
Sol: 184
Prompt: How many minutes are there between 2:50 PM and 5:28 PM?
Sol: 158
Prompt: What is 520 minutes before 6:30 AM?
Sol: 9:50 PM
Prompt: How many minutes are there between 3:45 PM and 10:49 PM?
Sol: 424
Prompt: How many minutes are there between 12:01 AM and 6:01 AM?
Sol: 360
Prompt: How many minutes are there between 11:01 AM and 5:39 PM?
Sol: 398
Prompt: What is 302 minutes before 1:54 AM?
Sol: 8:52 PM
Prompt: How many minutes are there between 2:29 AM and 8:57 AM?
Sol: 388
Prompt: What is 472 minutes before 12:05 AM?
Sol: 4:13 PM
Prompt: How many minutes are there between 9:54 AM and 6:17 PM?
Sol: 503
Prompt: How many minutes are there between 7:51 AM and 7:50 PM?
Sol: 719
Prompt: How many minutes are there between 3:33 PM and 6:25 PM?
Sol: 172
Prompt: What is 481 minutes before 6:44 PM?
Sol: 10:43 AM
Prompt: How many minutes are there between 1:25 AM and 5:38 AM?
Sol: 253
Prompt: How many minutes are there between 9:58 AM and 12:43 PM?
Sol: 165
Prompt: What is 429 minutes before
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english
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numbers: place value
--------------------
Ask: What is the ten millions digit of 190213255?
Gives: 9
Ask: What is the hundred thousands digit of 6377446?
Gives: 3
Ask: What is the ten thousands digit of 46516?
Gives: 4
Ask: What is the tens digit of 4162693?
Gives: 9
Ask: What is the ten thousands digit of 1531123?
Gives: 3
Ask: What is the units digit of 14309?
Gives: 9
Ask: What is the units digit of 56085666?
Gives: 6
Ask: What is the thousands digit of 5451748?
Gives: 1
Ask: What is the thousands digit of 593181723?
Gives: 1
Ask: What is the units digit of 384?
Gives: 4
Ask: What is the ten millions digit of 10364539?
Gives: 1
Ask: What is the thousands digit of 4224?
Gives: 4
Ask: What is the thousands digit of 3130?
Gives: 3
Ask: What is the hundreds digit of 22830?
Gives: 8
Ask: What is the hundred thousands digit of 232390?
Gives: 2
Ask: What is the ten thousands digit of 363728?
Gives: 6
Ask: What is the thousands digit of 6244?
Gives: 6
Ask: What is the hundreds digit of 8846336?
Gives: 3
Ask: What is the hundreds digit of 1158123?
Gives: 1
Ask: What is the ten thousands digit of 24263695?
Gives: 6
Ask: What is the units digit of 794019?
Gives: 9
Ask: What is the hundreds digit of 933?
Gives: 9
Ask: What is the thousands digit of 1901574?
Gives: 1
Ask: What is the tens digit of 31390?
Gives: 9
Ask: What is the hundred millions digit of 1989619115?
Gives: 9
Ask: What is the tens digit of 724?
Gives: 2
Ask: What is the hundreds digit of 359010475?
Gives: 4
Ask: What is the ten thousands digit of 589069?
Gives: 8
Ask: What is the thousands digit of 438296?
Gives: 8
Ask: What is the units digit of 21445863?
Gives: 3
Ask: What is the ten thousands digit of 23940?
Gives: 2
Ask: What is the thousands digit of 1029?
Gives: 1
Ask: What is the hundreds digit of 532?
Gives: 5
Ask: What is the hundred thousands digit of 8196344?
Gives: 1
Ask: What is the ten thousands digit of 751908577?
Gives: 0
Ask: What is the ten thousands digit of 78409?
Gives: 7
Ask: What is the
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english
|
numbers: place value
--------------------
Input: What is the units digit of 13298?
= : 8
Input: What is the hundred thousands digit of 210264859?
= : 2
Input: What is the thousands digit of 2309637674?
= : 7
Input: What is the ten millions digit of 1410838094?
= : 1
Input: What is the hundred thousands digit of 104494?
= : 1
Input: What is the millions digit of 556756592?
= : 6
Input: What is the hundreds digit of 2485177?
= : 1
Input: What is the units digit of 622753163?
= : 3
Input: What is the thousands digit of 362052?
= : 2
Input: What is the tens digit of 3091?
= : 9
Input: What is the ten thousands digit of 16177?
= : 1
Input: What is the thousands digit of 1293?
= : 1
Input: What is the thousands digit of 42568052?
= : 8
Input: What is the tens digit of 5526326?
= : 2
Input: What is the tens digit of 23670353?
= : 5
Input: What is the millions digit of 37303970?
= : 7
Input: What is the units digit of 4025?
= : 5
Input: What is the thousands digit of 18806152?
= : 6
Input: What is the thousands digit of 806246?
= : 6
Input: What is the thousands digit of 9841?
= : 9
Input: What is the thousands digit of 2196?
= : 2
Input: What is the thousands digit of 87395?
= : 7
Input: What is the hundreds digit of 315884?
= : 8
Input: What is the hundreds digit of 11315?
= : 3
Input: What is the units digit of 4560?
= : 0
Input: What is the hundreds digit of 320?
= : 3
Input: What is the units digit of 47626823?
= : 3
Input: What is the units digit of 62390?
= : 0
Input: What is the units digit of 253?
= : 3
Input: What is the hundreds digit of 2362?
= : 3
Input: What is the ten thousands digit of 1478297?
= : 7
Input: What is the hundred thousands digit of 293579178?
= : 5
Input: What is the hundreds digit of 117526?
= : 5
Input: What is the hundred thousands digit of 240635352?
= : 6
Input: What is the ten millions digit of 13944889?
= : 1
Input: What is the tens digit of 21920?
= : 2
Input: What is the ten thousands digit of 17159?
= : 1
Input: What is the thousands
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english
|
probability: swr p level set
----------------------------
Exercise: What is prob of picking 2 p when two letters picked without replacement from {n: 2, p: 4}?
Calculation: 2/5
Exercise: Two letters picked without replacement from cqcqqcc. Give prob of picking 2 c.
Calculation: 2/7
Exercise: What is prob of picking 1 w, 2 n, and 1 h when four letters picked without replacement from wbbnbwwvvhvwhwwwnh?
Calculation: 7/1020
Exercise: Two letters picked without replacement from yyyyyy. What is prob of picking 2 y?
Calculation: 1
Exercise: What is prob of picking 3 w and 1 o when four letters picked without replacement from {u: 1, n: 3, o: 1, w: 6, a: 1}?
Calculation: 4/99
Exercise: Three letters picked without replacement from {f: 2, s: 8}. What is prob of picking 3 s?
Calculation: 7/15
Exercise: Two letters picked without replacement from kcckcckcck. What is prob of picking 1 c and 1 k?
Calculation: 8/15
Exercise: Four letters picked without replacement from feeffmefffmfeee. What is prob of picking 4 f?
Calculation: 1/39
Exercise: What is prob of picking 2 x when two letters picked without replacement from {r: 2, d: 1, x: 2}?
Calculation: 1/10
Exercise: Four letters picked without replacement from {k: 9, g: 10}. Give prob of picking 1 g and 3 k.
Calculation: 70/323
Exercise: Three letters picked without replacement from hhhzzzh. Give prob of picking 3 h.
Calculation: 4/35
Exercise: What is prob of picking 2 o when two letters picked without replacement from hhopuhohuohhouo?
Calculation: 2/21
Exercise: What is prob of picking 2 p when two letters picked without replacement from ppuu?
Calculation: 1/6
Exercise: Calculate prob of picking 3 m and 1 y when four letters picked without replacement from rmmymmymryyyymmmym.
Calculation: 49/255
Exercise: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from ccooooococ.
Calculation: 8/15
Exercise: What is prob of picking 1 w and 1 h when two letters picked without replacement from {l: 2, h: 2, y: 1
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english
|
numbers: div remainder
----------------------
Ask: Calculate the remainder when 132 is divided by 20.
Solution: 12
Ask: What is the remainder when 40 is divided by 6?
Solution: 4
Ask: Calculate the remainder when 11583 is divided by 64.
Solution: 63
Ask: What is the remainder when 1105422 is divided by 276?
Solution: 42
Ask: Calculate the remainder when 8215 is divided by 274.
Solution: 269
Ask: What is the remainder when 13118 is divided by 5?
Solution: 3
Ask: What is the remainder when 8693 is divided by 47?
Solution: 45
Ask: Calculate the remainder when 1433 is divided by 35.
Solution: 33
Ask: Calculate the remainder when 3317 is divided by 1086.
Solution: 59
Ask: What is the remainder when 80 is divided by 31?
Solution: 18
Ask: Calculate the remainder when 1002937 is divided by 5731.
Solution: 12
Ask: Calculate the remainder when 4947076 is divided by 41.
Solution: 16
Ask: Calculate the remainder when 509064 is divided by 11838.
Solution: 30
Ask: What is the remainder when 27591590 is divided by 261?
Solution: 236
Ask: Calculate the remainder when 274 is divided by 49.
Solution: 29
Ask: Calculate the remainder when 56 is divided by 15.
Solution: 11
Ask: What is the remainder when 16924683 is divided by 7?
Solution: 6
Ask: Calculate the remainder when 606810 is divided by 20227.
Solution: 0
Ask: What is the remainder when 873 is divided by 102?
Solution: 57
Ask: What is the remainder when 157 is divided by 20?
Solution: 17
Ask: What is the remainder when 1122 is divided by 412?
Solution: 298
Ask: What is the remainder when 113 is divided by 15?
Solution: 8
Ask: What is the remainder when 13146966 is divided by 21?
Solution: 0
Ask: What is the remainder when 8994538 is divided by 10303?
Solution: 19
Ask: Calculate the remainder when 284 is divided by 58.
Solution: 52
Ask: Calculate the remainder when 443 is divided by 5.
Solution: 3
Ask: What is the remainder when 1977114 is divided by 9503?
Solution: 490
Ask: What is the remainder when 5443177 is divided by 37?
S
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english
|
numbers: place value
--------------------
Part A: What is the tens digit of 268444?
Reply: 4
Part A: What is the thousands digit of 2940859?
Reply: 0
Part A: What is the ten thousands digit of 97759?
Reply: 9
Part A: What is the hundreds digit of 2990343?
Reply: 3
Part A: What is the millions digit of 528905637?
Reply: 8
Part A: What is the hundreds digit of 113178963?
Reply: 9
Part A: What is the ten thousands digit of 46211421?
Reply: 1
Part A: What is the millions digit of 3131591353?
Reply: 1
Part A: What is the ten thousands digit of 75919548?
Reply: 1
Part A: What is the thousands digit of 137652?
Reply: 7
Part A: What is the hundred thousands digit of 84104946?
Reply: 1
Part A: What is the units digit of 1057564456?
Reply: 6
Part A: What is the thousands digit of 8227?
Reply: 8
Part A: What is the thousands digit of 2184?
Reply: 2
Part A: What is the hundreds digit of 533166?
Reply: 1
Part A: What is the thousands digit of 1560?
Reply: 1
Part A: What is the units digit of 3970116052?
Reply: 2
Part A: What is the millions digit of 41257274?
Reply: 1
Part A: What is the thousands digit of 137070459?
Reply: 0
Part A: What is the tens digit of 5619217?
Reply: 1
Part A: What is the millions digit of 205431750?
Reply: 5
Part A: What is the hundreds digit of 4348?
Reply: 3
Part A: What is the ten thousands digit of 62145?
Reply: 6
Part A: What is the millions digit of 1005937?
Reply: 1
Part A: What is the hundred thousands digit of 220045?
Reply: 2
Part A: What is the millions digit of 14572250?
Reply: 4
Part A: What is the units digit of 45940534?
Reply: 4
Part A: What is the hundreds digit of 7717?
Reply: 7
Part A: What is the ten thousands digit of 438382?
Reply: 3
Part A: What is the millions digit of 160560736?
Reply: 0
Part A: What is the tens digit of 1811?
Reply: 1
Part A: What is the ten millions digit of 1541145136?
Reply: 4
Part A: What is the units digit of 16973748?
Reply: 8
Part A: What is the units digit of 5512?
Reply: 2
Part A: What is the billions
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english
|
arithmetic: nearest integer root
--------------------------------
Math Q: What is 126866 to the power of 1/2, to the nearest integer?
Derivation: 356
Math Q: What is the seventh root of 9347 to the nearest integer?
Derivation: 4
Math Q: What is 56930 to the power of 1/9, to the nearest integer?
Derivation: 3
Math Q: What is 815340955 to the power of 1/2, to the nearest integer?
Derivation: 28554
Math Q: What is the square root of 27436450 to the nearest integer?
Derivation: 5238
Math Q: What is 581206291 to the power of 1/10, to the nearest integer?
Derivation: 8
Math Q: What is the third root of 245341323 to the nearest integer?
Derivation: 626
Math Q: What is 518018 to the power of 1/10, to the nearest integer?
Derivation: 4
Math Q: What is 42174995 to the power of 1/8, to the nearest integer?
Derivation: 9
Math Q: What is 2651699 to the power of 1/2, to the nearest integer?
Derivation: 1628
Math Q: What is the seventh root of 30995138 to the nearest integer?
Derivation: 12
Math Q: What is 116354 to the power of 1/7, to the nearest integer?
Derivation: 5
Math Q: What is the cube root of 10912356 to the nearest integer?
Derivation: 222
Math Q: What is 145282 to the power of 1/7, to the nearest integer?
Derivation: 5
Math Q: What is 110360 to the power of 1/2, to the nearest integer?
Derivation: 332
Math Q: What is the ninth root of 60174292 to the nearest integer?
Derivation: 7
Math Q: What is the eighth root of 4880686 to the nearest integer?
Derivation: 7
Math Q: What is the eighth root of 38397522 to the nearest integer?
Derivation: 9
Math Q: What is 65077386 to the power of 1/3, to the nearest integer?
Derivation: 402
Math Q: What is the seventh root of 2019708163 to the nearest integer?
Derivation: 21
Math Q: What is the square root of 56219 to the nearest integer?
Derivation: 237
Math Q: What is the fourth root of 123222 to the nearest integer?
Derivation: 19
Math Q: What is the square root of 6219 to the nearest integer?
Derivation: 79
Math Q: What is the si
|
english
|
numbers: place value
--------------------
Test item: What is the ten millions digit of 104023649?
Soln: 0
Test item: What is the billions digit of 1336349759?
Soln: 1
Test item: What is the hundreds digit of 551?
Soln: 5
Test item: What is the thousands digit of 4438004412?
Soln: 4
Test item: What is the hundreds digit of 161545?
Soln: 5
Test item: What is the tens digit of 931202?
Soln: 0
Test item: What is the units digit of 5107576016?
Soln: 6
Test item: What is the units digit of 3159407310?
Soln: 0
Test item: What is the thousands digit of 1389?
Soln: 1
Test item: What is the tens digit of 1156?
Soln: 5
Test item: What is the units digit of 129022?
Soln: 2
Test item: What is the hundreds digit of 1116177696?
Soln: 6
Test item: What is the hundred thousands digit of 109363?
Soln: 1
Test item: What is the ten thousands digit of 30879?
Soln: 3
Test item: What is the hundreds digit of 1215069?
Soln: 0
Test item: What is the ten thousands digit of 948008?
Soln: 4
Test item: What is the millions digit of 51603247?
Soln: 1
Test item: What is the units digit of 517294?
Soln: 4
Test item: What is the units digit of 53007?
Soln: 7
Test item: What is the hundreds digit of 1949?
Soln: 9
Test item: What is the tens digit of 463991096?
Soln: 9
Test item: What is the units digit of 779423979?
Soln: 9
Test item: What is the units digit of 4018?
Soln: 8
Test item: What is the units digit of 4227854826?
Soln: 6
Test item: What is the millions digit of 441822923?
Soln: 1
Test item: What is the hundreds digit of 90754525?
Soln: 5
Test item: What is the units digit of 364703?
Soln: 3
Test item: What is the hundreds digit of 1410?
Soln: 4
Test item: What is the units digit of 19586?
Soln: 6
Test item: What is the ten millions digit of 85839537?
Soln: 8
Test item: What is the thousands digit of 2200523?
Soln: 0
Test item: What is the hundreds digit of 437?
Soln: 4
Test item: What is the ten thousands digit of 407665162?
Soln: 6
Test item: What is the ten thousands digit of 1507155?
S
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english
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numbers: place value
--------------------
Given: What is the ten thousands digit of 8943882?
Interpretation: 4
Given: What is the thousands digit of 1090?
Interpretation: 1
Given: What is the hundred thousands digit of 152014?
Interpretation: 1
Given: What is the thousands digit of 4002?
Interpretation: 4
Given: What is the hundred thousands digit of 14005742?
Interpretation: 0
Given: What is the units digit of 66729193?
Interpretation: 3
Given: What is the tens digit of 19893152?
Interpretation: 5
Given: What is the hundreds digit of 15712979?
Interpretation: 9
Given: What is the billions digit of 3026544763?
Interpretation: 3
Given: What is the hundred thousands digit of 3218559?
Interpretation: 2
Given: What is the units digit of 258920925?
Interpretation: 5
Given: What is the thousands digit of 51849700?
Interpretation: 9
Given: What is the units digit of 3577023451?
Interpretation: 1
Given: What is the ten thousands digit of 64375?
Interpretation: 6
Given: What is the thousands digit of 136923?
Interpretation: 6
Given: What is the units digit of 12851?
Interpretation: 1
Given: What is the tens digit of 2011?
Interpretation: 1
Given: What is the ten thousands digit of 14504556?
Interpretation: 0
Given: What is the tens digit of 25038?
Interpretation: 3
Given: What is the units digit of 770?
Interpretation: 0
Given: What is the tens digit of 40869?
Interpretation: 6
Given: What is the units digit of 623?
Interpretation: 3
Given: What is the units digit of 26044?
Interpretation: 4
Given: What is the millions digit of 71465533?
Interpretation: 1
Given: What is the hundreds digit of 32369?
Interpretation: 3
Given: What is the units digit of 198192136?
Interpretation: 6
Given: What is the millions digit of 87655937?
Interpretation: 7
Given: What is the billions digit of 3263282135?
Interpretation: 3
Given: What is the hundreds digit of 18391?
Interpretation: 3
Given: What is the tens digit of 2209?
Interpretation: 0
Given: What is the hundreds digit of 664284640?
Int
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english
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numbers: div remainder
----------------------
Problem: What is the remainder when 1558 is divided by 294?
Resolution: 88
Problem: Calculate the remainder when 38 is divided by 25.
Resolution: 13
Problem: What is the remainder when 1318 is divided by 79?
Resolution: 54
Problem: What is the remainder when 1002 is divided by 53?
Resolution: 48
Problem: Calculate the remainder when 3137 is divided by 156.
Resolution: 17
Problem: What is the remainder when 34210 is divided by 15020?
Resolution: 4170
Problem: What is the remainder when 60182 is divided by 20060?
Resolution: 2
Problem: Calculate the remainder when 2121706 is divided by 41602.
Resolution: 4
Problem: Calculate the remainder when 1820 is divided by 590.
Resolution: 50
Problem: What is the remainder when 1967327 is divided by 13950?
Resolution: 377
Problem: Calculate the remainder when 3544103 is divided by 11110.
Resolution: 13
Problem: What is the remainder when 2888 is divided by 2849?
Resolution: 39
Problem: Calculate the remainder when 82414 is divided by 1585.
Resolution: 1579
Problem: Calculate the remainder when 2150686418 is divided by 21.
Resolution: 20
Problem: Calculate the remainder when 49947280 is divided by 21792.
Resolution: 16
Problem: Calculate the remainder when 47139 is divided by 2475.
Resolution: 114
Problem: What is the remainder when 6748 is divided by 564?
Resolution: 544
Problem: What is the remainder when 73168 is divided by 12194?
Resolution: 4
Problem: Calculate the remainder when 100 is divided by 22.
Resolution: 12
Problem: What is the remainder when 1087820 is divided by 2768?
Resolution: 2764
Problem: What is the remainder when 1889 is divided by 537?
Resolution: 278
Problem: Calculate the remainder when 59659 is divided by 190.
Resolution: 189
Problem: What is the remainder when 776 is divided by 6?
Resolution: 2
Problem: What is the remainder when 58779 is divided by 176?
Resolution: 171
Problem: What is the remainder when 899763 is divided by 2549?
Resolution: 2515
Problem:
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english
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probability: swr p level set
----------------------------
Situation: Four letters picked without replacement from rrrrmrskrrsrrrsmsskk. Give prob of picking 1 r and 3 k.
Interpretation: 2/969
Situation: What is prob of picking 3 h when three letters picked without replacement from qqhqhhqq?
Interpretation: 1/56
Situation: What is prob of picking 1 a, 1 j, and 1 g when three letters picked without replacement from gggggggagjg?
Interpretation: 3/55
Situation: Three letters picked without replacement from ujsjj. Give prob of picking 3 j.
Interpretation: 1/10
Situation: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from {r: 8, h: 2, x: 4}.
Interpretation: 2/91
Situation: What is prob of picking 1 j and 1 b when two letters picked without replacement from {j: 1, t: 2, w: 2, b: 6}?
Interpretation: 6/55
Situation: Four letters picked without replacement from siyipiridsrri. Give prob of picking 2 i and 2 r.
Interpretation: 6/143
Situation: What is prob of picking 1 z and 1 o when two letters picked without replacement from {f: 2, t: 2, z: 1, c: 1, h: 1, o: 2}?
Interpretation: 1/18
Situation: What is prob of picking 2 j when two letters picked without replacement from jaqqaajamjqqjqqaqa?
Interpretation: 2/51
Situation: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from bbi.
Interpretation: 2/3
Situation: Two letters picked without replacement from {u: 6, z: 4, i: 2, k: 3, h: 2}. What is prob of picking 1 k and 1 u?
Interpretation: 9/68
Situation: Two letters picked without replacement from {i: 3, m: 4, t: 11}. Give prob of picking 1 m and 1 i.
Interpretation: 4/51
Situation: Four letters picked without replacement from {r: 2, y: 1, j: 1, w: 1, t: 1, s: 1}. What is prob of picking 1 w, 1 y, and 2 r?
Interpretation: 1/35
Situation: Four letters picked without replacement from aiaanaavhvnaija. Give prob of picking 1 v, 2 a, and 1 n.
Interpretation: 4/65
Situation: Three letters picked without replacement
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english
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measurement: time
-----------------
Problem: How many minutes are there between 4:28 AM and 11:08 AM?
Compute: 400
Problem: How many minutes are there between 9:29 AM and 2:08 PM?
Compute: 279
Problem: How many minutes are there between 6:04 AM and 8:05 AM?
Compute: 121
Problem: What is 367 minutes before 12:33 PM?
Compute: 6:26 AM
Problem: How many minutes are there between 5:54 PM and 12:20 AM?
Compute: 386
Problem: What is 612 minutes after 7:18 PM?
Compute: 5:30 AM
Problem: What is 204 minutes after 2:35 PM?
Compute: 5:59 PM
Problem: How many minutes are there between 8:29 AM and 10:32 AM?
Compute: 123
Problem: How many minutes are there between 4:29 PM and 5:38 PM?
Compute: 69
Problem: What is 630 minutes before 9:31 PM?
Compute: 11:01 AM
Problem: How many minutes are there between 12:32 AM and 1:24 AM?
Compute: 52
Problem: What is 44 minutes after 10:00 AM?
Compute: 10:44 AM
Problem: How many minutes are there between 7:10 PM and 8:57 PM?
Compute: 107
Problem: How many minutes are there between 1:20 AM and 3:55 AM?
Compute: 155
Problem: What is 342 minutes after 3:58 PM?
Compute: 9:40 PM
Problem: How many minutes are there between 7:00 AM and 11:15 AM?
Compute: 255
Problem: How many minutes are there between 6:44 AM and 3:53 PM?
Compute: 549
Problem: What is 324 minutes before 10:48 PM?
Compute: 5:24 PM
Problem: What is 458 minutes after 2:21 PM?
Compute: 9:59 PM
Problem: What is 209 minutes before 8:15 PM?
Compute: 4:46 PM
Problem: What is 137 minutes before 1:10 AM?
Compute: 10:53 PM
Problem: How many minutes are there between 8:00 AM and 1:02 PM?
Compute: 302
Problem: How many minutes are there between 2:32 AM and 9:57 AM?
Compute: 445
Problem: How many minutes are there between 8:45 AM and 9:24 AM?
Compute: 39
Problem: What is 321 minutes before 11:46 AM?
Compute: 6:25 AM
Problem: How many minutes are there between 3:44 PM and 9:51 PM?
Compute: 367
Problem: How many minutes are there between 4:16 AM and 5:10 AM?
Compute: 54
Problem: What is 692 minutes bef
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english
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numbers: place value
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Situation: What is the units digit of 15536041?
Yields: 1
Situation: What is the ten thousands digit of 14283?
Yields: 1
Situation: What is the thousands digit of 1004681844?
Yields: 1
Situation: What is the units digit of 73717461?
Yields: 1
Situation: What is the hundreds digit of 2486470?
Yields: 4
Situation: What is the tens digit of 70282313?
Yields: 1
Situation: What is the tens digit of 73081?
Yields: 8
Situation: What is the millions digit of 5797791?
Yields: 5
Situation: What is the ten millions digit of 22740272?
Yields: 2
Situation: What is the units digit of 417822?
Yields: 2
Situation: What is the thousands digit of 9578?
Yields: 9
Situation: What is the thousands digit of 270556587?
Yields: 6
Situation: What is the units digit of 83862?
Yields: 2
Situation: What is the thousands digit of 6272?
Yields: 6
Situation: What is the hundreds digit of 5447?
Yields: 4
Situation: What is the tens digit of 34164290?
Yields: 9
Situation: What is the units digit of 2959824?
Yields: 4
Situation: What is the millions digit of 73462790?
Yields: 3
Situation: What is the ten thousands digit of 24005539?
Yields: 0
Situation: What is the hundred millions digit of 787992356?
Yields: 7
Situation: What is the tens digit of 3661029?
Yields: 2
Situation: What is the millions digit of 1167146?
Yields: 1
Situation: What is the tens digit of 133707?
Yields: 0
Situation: What is the ten millions digit of 445423442?
Yields: 4
Situation: What is the thousands digit of 1652642820?
Yields: 2
Situation: What is the hundreds digit of 324725160?
Yields: 1
Situation: What is the thousands digit of 999815350?
Yields: 5
Situation: What is the ten millions digit of 29808592?
Yields: 2
Situation: What is the hundred thousands digit of 2488390?
Yields: 4
Situation: What is the hundred thousands digit of 316981?
Yields: 3
Situation: What is the thousands digit of 106527307?
Yields: 7
Situation: What is the ten thousands digit of 630481641?
Yields: 8
Sit
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english
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measurement: time
-----------------
Given: What is 616 minutes after 9:54 PM?
Response: 8:10 AM
Given: What is 77 minutes before 5:58 AM?
Response: 4:41 AM
Given: How many minutes are there between 4:39 PM and 11:38 PM?
Response: 419
Given: What is 707 minutes after 12:53 AM?
Response: 12:40 PM
Given: What is 443 minutes before 1:48 AM?
Response: 6:25 PM
Given: What is 463 minutes before 4:54 AM?
Response: 9:11 PM
Given: How many minutes are there between 12:24 PM and 7:03 PM?
Response: 399
Given: What is 255 minutes before 12:55 PM?
Response: 8:40 AM
Given: What is 211 minutes before 3:32 PM?
Response: 12:01 PM
Given: How many minutes are there between 7:09 AM and 9:38 AM?
Response: 149
Given: How many minutes are there between 7:31 AM and 8:15 AM?
Response: 44
Given: What is 631 minutes after 12:47 AM?
Response: 11:18 AM
Given: How many minutes are there between 3:00 AM and 6:01 AM?
Response: 181
Given: How many minutes are there between 12:39 AM and 1:35 AM?
Response: 56
Given: What is 404 minutes before 11:43 AM?
Response: 4:59 AM
Given: What is 488 minutes before 9:41 AM?
Response: 1:33 AM
Given: What is 702 minutes after 10:06 AM?
Response: 9:48 PM
Given: What is 408 minutes after 1:14 AM?
Response: 8:02 AM
Given: What is 10 minutes before 8:15 AM?
Response: 8:05 AM
Given: How many minutes are there between 12:22 AM and 5:53 AM?
Response: 331
Given: How many minutes are there between 1:28 AM and 3:04 AM?
Response: 96
Given: How many minutes are there between 1:56 AM and 3:40 AM?
Response: 104
Given: How many minutes are there between 12:26 PM and 12:36 PM?
Response: 10
Given: What is 44 minutes before 1:44 PM?
Response: 1:00 PM
Given: How many minutes are there between 8:19 AM and 11:20 AM?
Response: 181
Given: How many minutes are there between 7:35 PM and 9:17 PM?
Response: 102
Given: How many minutes are there between 9:57 AM and 3:00 PM?
Response: 303
Given: What is 264 minutes after 2:43 AM?
Response: 7:07 AM
Given: What is 503 minutes after 5:11 PM?
Resp
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english
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arithmetic: nearest integer root
--------------------------------
Example: What is the third root of 22104699 to the nearest integer?
Yields: 281
Example: What is 2220 to the power of 1/2, to the nearest integer?
Yields: 47
Example: What is the cube root of 106747 to the nearest integer?
Yields: 47
Example: What is 6862 to the power of 1/2, to the nearest integer?
Yields: 83
Example: What is the cube root of 12391732 to the nearest integer?
Yields: 231
Example: What is the seventh root of 2362913094 to the nearest integer?
Yields: 22
Example: What is 13067969 to the power of 1/3, to the nearest integer?
Yields: 236
Example: What is 1466478 to the power of 1/5, to the nearest integer?
Yields: 17
Example: What is the cube root of 9585866 to the nearest integer?
Yields: 212
Example: What is the third root of 155685887 to the nearest integer?
Yields: 538
Example: What is 140412 to the power of 1/5, to the nearest integer?
Yields: 11
Example: What is 110 to the power of 1/4, to the nearest integer?
Yields: 3
Example: What is the eighth root of 1369 to the nearest integer?
Yields: 2
Example: What is the square root of 132560 to the nearest integer?
Yields: 364
Example: What is the third root of 13166585 to the nearest integer?
Yields: 236
Example: What is the sixth root of 6823331973 to the nearest integer?
Yields: 44
Example: What is 93919173 to the power of 1/3, to the nearest integer?
Yields: 455
Example: What is 928905 to the power of 1/2, to the nearest integer?
Yields: 964
Example: What is 1008193160 to the power of 1/2, to the nearest integer?
Yields: 31752
Example: What is 138381156 to the power of 1/3, to the nearest integer?
Yields: 517
Example: What is the eighth root of 13954 to the nearest integer?
Yields: 3
Example: What is the cube root of 15168 to the nearest integer?
Yields: 25
Example: What is the cube root of 14246 to the nearest integer?
Yields: 24
Example: What is 866 to the power of 1/2, to the nearest integer?
Yields: 29
Example: What is 172910 to t
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english
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probability: swr p sequence
---------------------------
Math Problem: Calculate prob of sequence nnn when three letters picked without replacement from nnnnnnnnnn.
Fix: 1
Math Problem: Two letters picked without replacement from kkkazkkzalkpaazk. Give prob of sequence la.
Fix: 1/60
Math Problem: Two letters picked without replacement from {t: 5, p: 7}. Give prob of sequence tp.
Fix: 35/132
Math Problem: Three letters picked without replacement from {c: 1, s: 1, y: 5, f: 2, w: 1}. What is prob of sequence sff?
Fix: 1/360
Math Problem: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaaaaa.
Fix: 1
Math Problem: Three letters picked without replacement from aam. What is prob of sequence ama?
Fix: 1/3
Math Problem: Three letters picked without replacement from {f: 1, s: 2, r: 2, h: 1, u: 1, m: 2}. What is prob of sequence hrs?
Fix: 1/126
Math Problem: Calculate prob of sequence jd when two letters picked without replacement from vqrqqvdvvkjdjjddjqvr.
Fix: 4/95
Math Problem: Four letters picked without replacement from lphhlv. Give prob of sequence lhph.
Fix: 1/90
Math Problem: Four letters picked without replacement from {k: 9, u: 10}. Give prob of sequence kkuk.
Fix: 35/646
Math Problem: Four letters picked without replacement from {r: 9, i: 3, g: 3, z: 1, b: 2}. Give prob of sequence rzzb.
Fix: 0
Math Problem: Four letters picked without replacement from agggaagcacpggaggapac. What is prob of sequence gapc?
Fix: 14/4845
Math Problem: What is prob of sequence iqi when three letters picked without replacement from {b: 2, k: 1, q: 1, a: 1, p: 3, i: 3}?
Fix: 1/165
Math Problem: What is prob of sequence zew when three letters picked without replacement from ezwwh?
Fix: 1/30
Math Problem: Three letters picked without replacement from {o: 3, f: 9}. What is prob of sequence foo?
Fix: 9/220
Math Problem: What is prob of sequence jlo when three letters picked without replacement from jzozjozomlwozzm?
Fix: 4/1365
Math Problem: Three letters pick
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english
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numbers: gcd
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Query: Calculate the highest common divisor of 115 and 368.
Resolution: 23
Query: Calculate the greatest common factor of 8876 and 112.
Resolution: 28
Query: What is the greatest common divisor of 435 and 232?
Resolution: 29
Query: What is the greatest common divisor of 24644 and 35249?
Resolution: 101
Query: What is the greatest common factor of 200 and 105698030?
Resolution: 10
Query: What is the greatest common factor of 531 and 59?
Resolution: 59
Query: What is the highest common divisor of 957631 and 86631?
Resolution: 67
Query: What is the highest common factor of 11165 and 533295?
Resolution: 35
Query: Calculate the highest common factor of 4080 and 1365712.
Resolution: 272
Query: What is the greatest common divisor of 5459 and 106?
Resolution: 53
Query: Calculate the greatest common factor of 64 and 2048.
Resolution: 64
Query: What is the greatest common factor of 2345 and 1276015?
Resolution: 335
Query: Calculate the greatest common divisor of 77482 and 2062.
Resolution: 2
Query: What is the highest common divisor of 587 and 401?
Resolution: 1
Query: Calculate the greatest common divisor of 120 and 680.
Resolution: 40
Query: Calculate the highest common factor of 3686 and 342.
Resolution: 38
Query: What is the highest common factor of 167034 and 17794?
Resolution: 574
Query: What is the highest common factor of 485 and 5?
Resolution: 5
Query: What is the greatest common factor of 54 and 144?
Resolution: 18
Query: Calculate the highest common factor of 6027 and 43419.
Resolution: 123
Query: Calculate the highest common factor of 22049 and 34.
Resolution: 17
Query: Calculate the highest common factor of 351 and 4482.
Resolution: 27
Query: Calculate the highest common factor of 870 and 120.
Resolution: 30
Query: Calculate the highest common factor of 20991600 and 245.
Resolution: 245
Query: Calculate the highest common factor of 917253 and 18.
Resolution: 9
Query: Calculate the highest common factor of 3205 and 5.
Resolution: 5
Query:
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english
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measurement: conversion
-----------------------
Math Problem: How many kilometers are there in 977.7557 millimeters?
Eval: 0.0009777557
Math Problem: How many years are there in 15/4 of a century?
Eval: 375
Math Problem: What is eleven quarters of a milligram in micrograms?
Eval: 2750
Math Problem: What is 29/2 of a hour in seconds?
Eval: 52200
Math Problem: How many months are there in 1/6 of a year?
Eval: 2
Math Problem: How many days are there in 21956848.2ns?
Eval: 0.0000002541301875
Math Problem: What is 6/5 of a litre in millilitres?
Eval: 1200
Math Problem: What is 76/5 of a litre in millilitres?
Eval: 15200
Math Problem: How many minutes are there in fourty-five halves of a day?
Eval: 32400
Math Problem: Convert 0.6670165 tonnes to milligrams.
Eval: 667016500
Math Problem: How many nanoseconds are there in 13.27s?
Eval: 13270000000
Math Problem: What is five quarters of a century in months?
Eval: 1500
Math Problem: How many nanograms are there in 2/125 of a microgram?
Eval: 16
Math Problem: What is one fifth of a litre in millilitres?
Eval: 200
Math Problem: What is 682.1202 centuries in decades?
Eval: 6821.202
Math Problem: How many milligrams are there in 3/8 of a gram?
Eval: 375
Math Problem: What is one fifth of a centimeter in millimeters?
Eval: 2
Math Problem: What is 3/25 of a centimeter in micrometers?
Eval: 1200
Math Problem: Convert 10476.82g to milligrams.
Eval: 10476820
Math Problem: What is 2820.532 millimeters in micrometers?
Eval: 2820532
Math Problem: How many centimeters are there in seventeen tenths of a meter?
Eval: 170
Math Problem: What is 9.796212 decades in months?
Eval: 1175.54544
Math Problem: How many minutes are there in 4/15 of a day?
Eval: 384
Math Problem: What is fifty-three quarters of a week in hours?
Eval: 2226
Math Problem: How many kilograms are there in 782414.9ng?
Eval: 0.0000007824149
Math Problem: What is 7/2 of a century in decades?
Eval: 35
Math Problem: How many millennia are there in 98.36222 centuries?
Eval: 9.836
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english
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measurement: time
-----------------
Exercise: How many minutes are there between 9:20 AM and 3:48 PM?
Explanation: 388
Exercise: How many minutes are there between 3:20 PM and 4:12 PM?
Explanation: 52
Exercise: How many minutes are there between 5:53 PM and 8:54 PM?
Explanation: 181
Exercise: What is 173 minutes before 11:23 AM?
Explanation: 8:30 AM
Exercise: What is 270 minutes before 10:31 PM?
Explanation: 6:01 PM
Exercise: How many minutes are there between 9:04 PM and 11:21 PM?
Explanation: 137
Exercise: What is 446 minutes after 6:04 AM?
Explanation: 1:30 PM
Exercise: How many minutes are there between 10:26 AM and 3:36 PM?
Explanation: 310
Exercise: How many minutes are there between 10:54 PM and 12:44 AM?
Explanation: 110
Exercise: What is 181 minutes before 1:11 AM?
Explanation: 10:10 PM
Exercise: How many minutes are there between 8:38 AM and 2:00 PM?
Explanation: 322
Exercise: How many minutes are there between 7:44 PM and 4:24 AM?
Explanation: 520
Exercise: How many minutes are there between 1:08 PM and 5:28 PM?
Explanation: 260
Exercise: What is 514 minutes after 3:06 AM?
Explanation: 11:40 AM
Exercise: What is 714 minutes before 4:48 AM?
Explanation: 4:54 PM
Exercise: How many minutes are there between 7:44 PM and 7:33 AM?
Explanation: 709
Exercise: How many minutes are there between 10:57 AM and 10:37 PM?
Explanation: 700
Exercise: How many minutes are there between 12:15 AM and 7:40 AM?
Explanation: 445
Exercise: How many minutes are there between 4:34 AM and 6:12 AM?
Explanation: 98
Exercise: How many minutes are there between 1:40 AM and 1:28 PM?
Explanation: 708
Exercise: What is 680 minutes before 6:40 PM?
Explanation: 7:20 AM
Exercise: How many minutes are there between 2:52 AM and 7:02 AM?
Explanation: 250
Exercise: What is 688 minutes after 11:31 AM?
Explanation: 10:59 PM
Exercise: How many minutes are there between 2:41 AM and 1:38 PM?
Explanation: 657
Exercise: What is 56 minutes after 3:28 PM?
Explanation: 4:24 PM
Exercise: How many minutes
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english
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numbers: lcm
------------
Problem Statement: Calculate the common denominator of 199/210 and -73/91023975.
Solution: 182047950
Problem Statement: What is the common denominator of 5/22 and 73/9798?
Solution: 107778
Problem Statement: Calculate the smallest common multiple of 354 and 2718.
Solution: 160362
Problem Statement: Calculate the common denominator of -127/27792 and 17/12352.
Solution: 111168
Problem Statement: What is the smallest common multiple of 19250 and 283500?
Solution: 3118500
Problem Statement: Calculate the smallest common multiple of 180 and 9510.
Solution: 57060
Problem Statement: What is the smallest common multiple of 3978 and 1326?
Solution: 3978
Problem Statement: Calculate the lowest common multiple of 52 and 7488.
Solution: 7488
Problem Statement: What is the common denominator of -157/10080 and -31/840?
Solution: 10080
Problem Statement: Calculate the common denominator of 91/7692 and -16/7377.
Solution: 18914628
Problem Statement: What is the common denominator of 56/1105479 and 121/1356?
Solution: 4421916
Problem Statement: Calculate the smallest common multiple of 117 and 416.
Solution: 3744
Problem Statement: Find the common denominator of -133/90 and 1/10860.
Solution: 32580
Problem Statement: What is the common denominator of -43/7047 and -86/1827?
Solution: 49329
Problem Statement: Calculate the lowest common multiple of 89994 and 35987.
Solution: 61105926
Problem Statement: What is the least common multiple of 185 and 5550?
Solution: 5550
Problem Statement: What is the common denominator of 187/15060 and -53/60240?
Solution: 60240
Problem Statement: What is the common denominator of 83/3678 and -121/6130?
Solution: 18390
Problem Statement: Find the common denominator of 143/72 and -19/178552.
Solution: 1606968
Problem Statement: What is the lowest common multiple of 877396 and 312?
Solution: 5264376
Problem Statement: Find the common denominator of -151/275973912 and -121/72.
Solution: 275973912
Problem Statement: Calculate the lo
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english
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probability: swr p sequence
---------------------------
Step: Two letters picked without replacement from dooddxdkkxk. Give prob of sequence ox.
= : 2/55
Step: Calculate prob of sequence aik when three letters picked without replacement from {k: 1, o: 2, a: 11, p: 1, i: 2, n: 1}.
= : 11/2448
Step: Four letters picked without replacement from mmmmymyygggmgmgym. Give prob of sequence gyyg.
= : 1/238
Step: Calculate prob of sequence wo when two letters picked without replacement from {w: 4, h: 6, o: 3}.
= : 1/13
Step: Two letters picked without replacement from ttttetbtbebt. Give prob of sequence bt.
= : 7/44
Step: Two letters picked without replacement from {t: 1, f: 3, g: 3}. What is prob of sequence gf?
= : 3/14
Step: What is prob of sequence mmmn when four letters picked without replacement from {m: 4, n: 16}?
= : 16/4845
Step: What is prob of sequence ol when two letters picked without replacement from aomol?
= : 1/10
Step: Calculate prob of sequence exmt when four letters picked without replacement from {t: 1, m: 1, x: 1, o: 2, w: 1, e: 1}.
= : 1/840
Step: Three letters picked without replacement from {p: 2, n: 4, d: 2, o: 3}. What is prob of sequence ppd?
= : 2/495
Step: Two letters picked without replacement from {r: 2, z: 1, d: 2, t: 2, j: 1, a: 1}. What is prob of sequence dd?
= : 1/36
Step: Two letters picked without replacement from vwkvwwwwk. Give prob of sequence wv.
= : 5/36
Step: Three letters picked without replacement from tteeetteeqechee. Give prob of sequence qeh.
= : 4/1365
Step: Four letters picked without replacement from {i: 2, u: 2}. Give prob of sequence iuiu.
= : 1/6
Step: Four letters picked without replacement from {m: 7, s: 3}. What is prob of sequence ssms?
= : 1/120
Step: Four letters picked without replacement from {e: 2, o: 1, j: 1, f: 1, g: 1, n: 2}. Give prob of sequence jgen.
= : 1/420
Step: Three letters picked without replacement from {r: 2, z: 1, p: 1, f: 2}. Give prob of sequence rrf.
= : 1/30
Step: Calculate prob of sequence rr
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numbers: place value
--------------------
Prompt: What is the hundreds digit of 531?
Therefore: 5
Prompt: What is the thousands digit of 9183?
Therefore: 9
Prompt: What is the tens digit of 228710809?
Therefore: 0
Prompt: What is the hundreds digit of 28348016?
Therefore: 0
Prompt: What is the hundreds digit of 791120?
Therefore: 1
Prompt: What is the hundred thousands digit of 6197367?
Therefore: 1
Prompt: What is the tens digit of 891?
Therefore: 9
Prompt: What is the hundreds digit of 6149570?
Therefore: 5
Prompt: What is the units digit of 393998888?
Therefore: 8
Prompt: What is the ten thousands digit of 25714681?
Therefore: 1
Prompt: What is the tens digit of 2700?
Therefore: 0
Prompt: What is the thousands digit of 8211?
Therefore: 8
Prompt: What is the ten thousands digit of 28879862?
Therefore: 7
Prompt: What is the billions digit of 3520798877?
Therefore: 3
Prompt: What is the ten thousands digit of 3263831?
Therefore: 6
Prompt: What is the hundred thousands digit of 158227101?
Therefore: 2
Prompt: What is the hundreds digit of 722?
Therefore: 7
Prompt: What is the millions digit of 2216265?
Therefore: 2
Prompt: What is the millions digit of 32791460?
Therefore: 2
Prompt: What is the hundreds digit of 894732500?
Therefore: 5
Prompt: What is the hundreds digit of 3379821791?
Therefore: 7
Prompt: What is the thousands digit of 4436579?
Therefore: 6
Prompt: What is the tens digit of 20411262?
Therefore: 6
Prompt: What is the thousands digit of 75913502?
Therefore: 3
Prompt: What is the thousands digit of 2335?
Therefore: 2
Prompt: What is the tens digit of 94962297?
Therefore: 9
Prompt: What is the hundreds digit of 1175?
Therefore: 1
Prompt: What is the tens digit of 22436?
Therefore: 3
Prompt: What is the hundred thousands digit of 182355966?
Therefore: 3
Prompt: What is the hundred millions digit of 4205393723?
Therefore: 2
Prompt: What is the hundreds digit of 373301?
Therefore: 3
Prompt: What is the ten millions digit of 32291410?
Therefore: 3
Prompt: Wh
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probability: swr p level set
----------------------------
Q/A: Two letters picked without replacement from ugovaooavaucggg. What is prob of picking 1 g and 1 a?
→: 4/35
Q/A: What is prob of picking 3 u when three letters picked without replacement from {y: 2, u: 3}?
→: 1/10
Q/A: Two letters picked without replacement from {r: 4, m: 3, f: 12, c: 1}. What is prob of picking 1 c and 1 f?
→: 6/95
Q/A: Two letters picked without replacement from {x: 7, y: 7, i: 2}. Give prob of picking 2 x.
→: 7/40
Q/A: Calculate prob of picking 1 m and 3 t when four letters picked without replacement from {c: 12, t: 4, m: 1, n: 2}.
→: 1/969
Q/A: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from anqun.
→: 1/5
Q/A: What is prob of picking 2 d and 2 m when four letters picked without replacement from {d: 7, m: 1}?
→: 0
Q/A: Two letters picked without replacement from {h: 1, p: 4, k: 2}. Give prob of picking 2 k.
→: 1/21
Q/A: What is prob of picking 1 v and 2 j when three letters picked without replacement from rjvwjvya?
→: 1/28
Q/A: What is prob of picking 1 p, 1 i, and 1 e when three letters picked without replacement from ireianp?
→: 2/35
Q/A: Three letters picked without replacement from {j: 8, l: 7, v: 1, a: 2}. Give prob of picking 3 j.
→: 7/102
Q/A: What is prob of picking 1 d, 1 f, and 1 c when three letters picked without replacement from eceflfeeedefe?
→: 3/286
Q/A: What is prob of picking 1 j and 1 k when two letters picked without replacement from jjjkkkjkjkjkkkjjkkjk?
→: 99/190
Q/A: What is prob of picking 2 o and 2 i when four letters picked without replacement from oooiiiiioii?
→: 21/55
Q/A: Calculate prob of picking 1 p and 3 x when four letters picked without replacement from {y: 3, p: 4, x: 7}.
→: 20/143
Q/A: Calculate prob of picking 3 l and 1 h when four letters picked without replacement from tiiiitiiiihhhhiittll.
→: 0
Q/A: What is prob of picking 3 c and 1 y when four letters picked without replacement from {c: 3, n: 2, y: 3}?
→: 3/
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numbers: div remainder
----------------------
Query: Calculate the remainder when 188 is divided by 19.
Response: 17
Query: Calculate the remainder when 11267 is divided by 4.
Response: 3
Query: Calculate the remainder when 74 is divided by 10.
Response: 4
Query: Calculate the remainder when 366240 is divided by 726.
Response: 336
Query: Calculate the remainder when 42460 is divided by 72.
Response: 52
Query: Calculate the remainder when 238792 is divided by 99.
Response: 4
Query: What is the remainder when 41963631 is divided by 34?
Response: 15
Query: Calculate the remainder when 598 is divided by 40.
Response: 38
Query: Calculate the remainder when 28006 is divided by 2537.
Response: 99
Query: What is the remainder when 63301914 is divided by 132?
Response: 126
Query: What is the remainder when 34 is divided by 12?
Response: 10
Query: What is the remainder when 43 is divided by 25?
Response: 18
Query: Calculate the remainder when 144 is divided by 42.
Response: 18
Query: What is the remainder when 69761932 is divided by 16?
Response: 12
Query: Calculate the remainder when 112405 is divided by 457.
Response: 440
Query: What is the remainder when 7 is divided by 5?
Response: 2
Query: What is the remainder when 1829 is divided by 131?
Response: 126
Query: Calculate the remainder when 21497173 is divided by 4299434.
Response: 3
Query: Calculate the remainder when 5393 is divided by 142.
Response: 139
Query: What is the remainder when 672 is divided by 166?
Response: 8
Query: What is the remainder when 506322 is divided by 559?
Response: 427
Query: Calculate the remainder when 25900 is divided by 774.
Response: 358
Query: What is the remainder when 466283 is divided by 77614?
Response: 599
Query: Calculate the remainder when 12 is divided by 2.
Response: 0
Query: What is the remainder when 5403 is divided by 6?
Response: 3
Query: Calculate the remainder when 11104 is divided by 110.
Response: 104
Query: Calculate the remainder when 110800 is divided by 208.
Response:
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numbers: gcd
------------
Query: What is the highest common factor of 3840 and 33440?
Soln: 160
Query: Calculate the greatest common divisor of 260 and 172276.
Soln: 52
Query: What is the highest common factor of 105 and 21?
Soln: 21
Query: Calculate the greatest common divisor of 2401 and 61717705.
Soln: 2401
Query: Calculate the highest common divisor of 564 and 1745862.
Soln: 282
Query: Calculate the greatest common factor of 1792 and 15104.
Soln: 256
Query: Calculate the highest common factor of 1368 and 38760.
Soln: 456
Query: Calculate the highest common factor of 14180 and 23151686.
Soln: 1418
Query: What is the greatest common factor of 280 and 196?
Soln: 28
Query: What is the highest common factor of 879 and 6739?
Soln: 293
Query: What is the greatest common divisor of 147 and 784?
Soln: 49
Query: What is the highest common factor of 241825314 and 1992?
Soln: 498
Query: What is the highest common divisor of 94124209 and 491?
Soln: 491
Query: Calculate the highest common factor of 2120 and 6730.
Soln: 10
Query: Calculate the greatest common factor of 88 and 15730.
Soln: 22
Query: Calculate the greatest common divisor of 7005756 and 912.
Soln: 228
Query: What is the highest common factor of 364057 and 53?
Soln: 53
Query: What is the highest common factor of 324 and 1731?
Soln: 3
Query: What is the highest common factor of 160 and 4?
Soln: 4
Query: What is the highest common factor of 560 and 2590?
Soln: 70
Query: What is the highest common divisor of 357 and 12733?
Soln: 119
Query: Calculate the highest common divisor of 5549726314 and 1114.
Soln: 1114
Query: Calculate the greatest common factor of 217 and 36127.
Soln: 7
Query: Calculate the highest common factor of 2925 and 7908975.
Soln: 225
Query: Calculate the greatest common factor of 112 and 616.
Soln: 56
Query: What is the greatest common factor of 188 and 4042?
Soln: 94
Query: What is the highest common factor of 480 and 330?
Soln: 30
Query: What is the highest common factor of 38 and 5282?
Soln: 38
Q
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arithmetic: nearest integer root
--------------------------------
Exercise: What is the fifth root of 915726610 to the nearest integer?
Output: 62
Exercise: What is the cube root of 2369919 to the nearest integer?
Output: 133
Exercise: What is the seventh root of 463958234 to the nearest integer?
Output: 17
Exercise: What is the third root of 11532 to the nearest integer?
Output: 23
Exercise: What is 12644581 to the power of 1/2, to the nearest integer?
Output: 3556
Exercise: What is 1706245 to the power of 1/9, to the nearest integer?
Output: 5
Exercise: What is the sixth root of 9393 to the nearest integer?
Output: 5
Exercise: What is the cube root of 241466610 to the nearest integer?
Output: 623
Exercise: What is the cube root of 11139 to the nearest integer?
Output: 22
Exercise: What is 33141486 to the power of 1/2, to the nearest integer?
Output: 5757
Exercise: What is 62905 to the power of 1/3, to the nearest integer?
Output: 40
Exercise: What is 11563 to the power of 1/7, to the nearest integer?
Output: 4
Exercise: What is the square root of 746974975 to the nearest integer?
Output: 27331
Exercise: What is 9719 to the power of 1/9, to the nearest integer?
Output: 3
Exercise: What is the eighth root of 3625079706 to the nearest integer?
Output: 16
Exercise: What is 30656 to the power of 1/7, to the nearest integer?
Output: 4
Exercise: What is 123592853 to the power of 1/10, to the nearest integer?
Output: 6
Exercise: What is 19461257 to the power of 1/8, to the nearest integer?
Output: 8
Exercise: What is the third root of 155880 to the nearest integer?
Output: 54
Exercise: What is the cube root of 2066852 to the nearest integer?
Output: 127
Exercise: What is the seventh root of 3205648 to the nearest integer?
Output: 8
Exercise: What is 140274 to the power of 1/2, to the nearest integer?
Output: 375
Exercise: What is 917030 to the power of 1/9, to the nearest integer?
Output: 5
Exercise: What is 2586581757 to the power of 1/2, to the nearest integer?
Output:
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probability: swr p sequence
---------------------------
Ask: What is prob of sequence dddd when four letters picked without replacement from ddddddd?
Conclusion: 1
Ask: Four letters picked without replacement from {k: 17, s: 3}. Give prob of sequence sssk.
Conclusion: 1/1140
Ask: Two letters picked without replacement from hhhoowwowohowo. What is prob of sequence oo?
Conclusion: 15/91
Ask: What is prob of sequence uuuz when four letters picked without replacement from {u: 9, z: 3}?
Conclusion: 7/55
Ask: Four letters picked without replacement from {y: 8, j: 3}. Give prob of sequence jjyj.
Conclusion: 1/165
Ask: What is prob of sequence mm when two letters picked without replacement from {b: 5, m: 13}?
Conclusion: 26/51
Ask: Two letters picked without replacement from ifikrkkirki. Give prob of sequence kk.
Conclusion: 6/55
Ask: Two letters picked without replacement from rrrrtzghgztttgrztgrg. Give prob of sequence zz.
Conclusion: 3/190
Ask: Calculate prob of sequence hk when two letters picked without replacement from hhhhhhhkhkh.
Conclusion: 9/55
Ask: Calculate prob of sequence dhch when four letters picked without replacement from kbidbchbhhici.
Conclusion: 1/1430
Ask: Two letters picked without replacement from dhbdbdbbjdcdd. What is prob of sequence ch?
Conclusion: 1/156
Ask: Two letters picked without replacement from {h: 2, u: 1, j: 2, e: 1, t: 4}. What is prob of sequence hh?
Conclusion: 1/45
Ask: What is prob of sequence ii when two letters picked without replacement from {i: 9, r: 9}?
Conclusion: 4/17
Ask: Two letters picked without replacement from ckcdccccccdcccccc. What is prob of sequence dd?
Conclusion: 1/136
Ask: Two letters picked without replacement from nnnnnenneennnnnnnnnn. What is prob of sequence nn?
Conclusion: 68/95
Ask: What is prob of sequence ykii when four letters picked without replacement from ixfyyxriyiky?
Conclusion: 1/495
Ask: Calculate prob of sequence rk when two letters picked without replacement from kkkkkrkk.
Conclusion: 1/8
Ask:
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arithmetic: nearest integer root
--------------------------------
Scenario: What is the third root of 425622573 to the nearest integer?
Response: 752
Scenario: What is the fifth root of 20324984 to the nearest integer?
Response: 29
Scenario: What is the cube root of 136227815 to the nearest integer?
Response: 515
Scenario: What is 137878124 to the power of 1/2, to the nearest integer?
Response: 11742
Scenario: What is 1560839 to the power of 1/2, to the nearest integer?
Response: 1249
Scenario: What is the seventh root of 2129731 to the nearest integer?
Response: 8
Scenario: What is 7155846 to the power of 1/6, to the nearest integer?
Response: 14
Scenario: What is the fifth root of 111073 to the nearest integer?
Response: 10
Scenario: What is the third root of 5179409611 to the nearest integer?
Response: 1730
Scenario: What is 178900932 to the power of 1/4, to the nearest integer?
Response: 116
Scenario: What is the square root of 998644869 to the nearest integer?
Response: 31601
Scenario: What is the square root of 64888304 to the nearest integer?
Response: 8055
Scenario: What is the square root of 86467 to the nearest integer?
Response: 294
Scenario: What is the cube root of 741203 to the nearest integer?
Response: 90
Scenario: What is the cube root of 26793029 to the nearest integer?
Response: 299
Scenario: What is the square root of 459697909 to the nearest integer?
Response: 21441
Scenario: What is the tenth root of 1908 to the nearest integer?
Response: 2
Scenario: What is the cube root of 110547 to the nearest integer?
Response: 48
Scenario: What is the square root of 176831480 to the nearest integer?
Response: 13298
Scenario: What is the fourth root of 3803 to the nearest integer?
Response: 8
Scenario: What is 20215661 to the power of 1/2, to the nearest integer?
Response: 4496
Scenario: What is the third root of 4166 to the nearest integer?
Response: 16
Scenario: What is 476358248 to the power of 1/3, to the nearest integer?
Response: 781
Scenario: What is
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probability: swr p level set
----------------------------
Ask: Two letters picked without replacement from {x: 11, q: 4, o: 4}. Give prob of picking 2 q.
Key: 2/57
Ask: What is prob of picking 4 s when four letters picked without replacement from sszszszszsszzszzsssz?
Key: 22/323
Ask: Two letters picked without replacement from {w: 2, y: 2, r: 1, m: 4}. What is prob of picking 1 y and 1 w?
Key: 1/9
Ask: Three letters picked without replacement from wwxxwxeewwxnewxnxxn. Give prob of picking 3 n.
Key: 1/969
Ask: What is prob of picking 1 x and 1 y when two letters picked without replacement from {y: 7, x: 1}?
Key: 1/4
Ask: What is prob of picking 1 c and 1 v when two letters picked without replacement from {c: 1, i: 1, y: 3, t: 6, v: 3}?
Key: 3/91
Ask: Calculate prob of picking 1 f and 2 v when three letters picked without replacement from cvccccccvvcccccvfvvv.
Key: 7/380
Ask: Four letters picked without replacement from dmmdm. Give prob of picking 3 m and 1 d.
Key: 2/5
Ask: Calculate prob of picking 1 h and 3 a when four letters picked without replacement from ttttaatttthhaaaaaa.
Key: 28/765
Ask: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {n: 1, e: 1, w: 1, c: 2}.
Key: 1/5
Ask: Four letters picked without replacement from {f: 1, i: 5, d: 6, b: 4}. What is prob of picking 3 d and 1 b?
Key: 4/91
Ask: Two letters picked without replacement from bhokooboooh. Give prob of picking 2 b.
Key: 1/55
Ask: Three letters picked without replacement from lkkzkllllkzlzzlll. Give prob of picking 2 k and 1 z.
Key: 3/85
Ask: What is prob of picking 2 q when two letters picked without replacement from {i: 7, q: 6, u: 4}?
Key: 15/136
Ask: Calculate prob of picking 2 v and 2 d when four letters picked without replacement from {d: 6, v: 4}.
Key: 3/7
Ask: What is prob of picking 1 k and 1 p when two letters picked without replacement from pplpnnnnptnk?
Key: 2/33
Ask: Three letters picked without replacement from ccccccccccdcccccccdc. What is prob
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english
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probability: swr p level set
----------------------------
Q=: Three letters picked without replacement from cceeceeeccececeecce. What is prob of picking 3 e?
Finding: 40/323
Q=: What is prob of picking 1 k and 1 x when two letters picked without replacement from {k: 3, e: 1, x: 1}?
Finding: 3/10
Q=: Four letters picked without replacement from nmmommomfnnnm. Give prob of picking 1 f, 2 o, and 1 n.
Finding: 4/715
Q=: Three letters picked without replacement from qbqbqqqbbb. What is prob of picking 3 b?
Finding: 1/12
Q=: Two letters picked without replacement from gkhmgog. Give prob of picking 1 m and 1 h.
Finding: 1/21
Q=: What is prob of picking 1 b and 1 z when two letters picked without replacement from zqqypypbppy?
Finding: 1/55
Q=: Three letters picked without replacement from gegegge. What is prob of picking 3 g?
Finding: 4/35
Q=: Calculate prob of picking 1 f, 1 j, and 1 r when three letters picked without replacement from rjfwfw.
Finding: 1/10
Q=: Three letters picked without replacement from ddtatada. Give prob of picking 1 a and 2 d.
Finding: 9/56
Q=: Three letters picked without replacement from qttihhqqqt. Give prob of picking 1 q, 1 i, and 1 h.
Finding: 1/15
Q=: Two letters picked without replacement from nnaxp. Give prob of picking 1 n and 1 x.
Finding: 1/5
Q=: What is prob of picking 2 z and 1 b when three letters picked without replacement from {i: 2, e: 9, h: 3, b: 4, z: 1}?
Finding: 0
Q=: Four letters picked without replacement from dhbhhssqqqhbdhhhbd. Give prob of picking 2 b and 2 s.
Finding: 1/1020
Q=: Calculate prob of picking 2 r and 2 y when four letters picked without replacement from {b: 2, m: 4, r: 1, p: 7, y: 1}.
Finding: 0
Q=: Calculate prob of picking 2 g and 2 w when four letters picked without replacement from {g: 4, b: 5, w: 3}.
Finding: 2/55
Q=: Three letters picked without replacement from vbffbfbvff. Give prob of picking 2 b and 1 f.
Finding: 1/8
Q=: Three letters picked without replacement from jjvuvvvjvj. Give prob of picking 3 j
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english
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measurement: time
-----------------
Puzzle: What is 173 minutes after 11:30 AM?
Calculation: 2:23 PM
Puzzle: What is 428 minutes before 4:02 PM?
Calculation: 8:54 AM
Puzzle: What is 547 minutes after 2:50 AM?
Calculation: 11:57 AM
Puzzle: What is 217 minutes before 8:45 PM?
Calculation: 5:08 PM
Puzzle: What is 466 minutes after 6:12 AM?
Calculation: 1:58 PM
Puzzle: How many minutes are there between 11:08 AM and 2:19 PM?
Calculation: 191
Puzzle: How many minutes are there between 1:38 PM and 12:30 AM?
Calculation: 652
Puzzle: What is 539 minutes after 9:10 PM?
Calculation: 6:09 AM
Puzzle: What is 591 minutes after 5:41 PM?
Calculation: 3:32 AM
Puzzle: How many minutes are there between 2:57 AM and 11:13 AM?
Calculation: 496
Puzzle: What is 27 minutes before 11:50 AM?
Calculation: 11:23 AM
Puzzle: How many minutes are there between 12:23 AM and 1:30 AM?
Calculation: 67
Puzzle: How many minutes are there between 8:00 AM and 5:47 PM?
Calculation: 587
Puzzle: What is 136 minutes before 10:00 AM?
Calculation: 7:44 AM
Puzzle: How many minutes are there between 5:27 AM and 3:58 PM?
Calculation: 631
Puzzle: What is 419 minutes before 2:02 AM?
Calculation: 7:03 PM
Puzzle: How many minutes are there between 11:29 PM and 7:42 AM?
Calculation: 493
Puzzle: How many minutes are there between 12:28 PM and 5:32 PM?
Calculation: 304
Puzzle: How many minutes are there between 12:54 PM and 3:49 PM?
Calculation: 175
Puzzle: What is 693 minutes before 7:24 AM?
Calculation: 7:51 PM
Puzzle: What is 681 minutes after 12:19 AM?
Calculation: 11:40 AM
Puzzle: How many minutes are there between 12:54 PM and 10:03 PM?
Calculation: 549
Puzzle: What is 669 minutes before 2:55 AM?
Calculation: 3:46 PM
Puzzle: What is 616 minutes before 12:38 AM?
Calculation: 2:22 PM
Puzzle: What is 158 minutes before 11:58 PM?
Calculation: 9:20 PM
Puzzle: What is 424 minutes before 10:48 AM?
Calculation: 3:44 AM
Puzzle: What is 525 minutes after 11:29 AM?
Calculation: 8:14 PM
Puzzle: What is 443 minutes after 4:21
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english
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probability: swr p level set
----------------------------
Q): Calculate prob of picking 1 i, 1 p, and 1 h when three letters picked without replacement from {p: 1, o: 1, h: 1, i: 1, e: 1}.
Interpretation: 1/10
Q): What is prob of picking 2 d when two letters picked without replacement from hfyhfdhaafydhw?
Interpretation: 1/91
Q): What is prob of picking 4 b when four letters picked without replacement from bbwssbb?
Interpretation: 1/35
Q): Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {o: 2, v: 1, l: 2, b: 11}.
Interpretation: 1/60
Q): Calculate prob of picking 1 r and 3 w when four letters picked without replacement from {w: 4, r: 8, x: 5, f: 1}.
Interpretation: 8/765
Q): What is prob of picking 1 b and 1 n when two letters picked without replacement from pttppnntpppbntpppp?
Interpretation: 1/51
Q): Two letters picked without replacement from mdwxxwxdxdxmmdxmwx. What is prob of picking 1 d and 1 w?
Interpretation: 4/51
Q): What is prob of picking 2 v when two letters picked without replacement from {a: 5, y: 4, v: 2}?
Interpretation: 1/55
Q): What is prob of picking 1 u, 1 p, and 1 y when three letters picked without replacement from {i: 1, m: 1, u: 1, p: 1, r: 1, y: 2}?
Interpretation: 2/35
Q): Two letters picked without replacement from nqqgnqn. What is prob of picking 1 q and 1 g?
Interpretation: 1/7
Q): What is prob of picking 3 p when three letters picked without replacement from plleppl?
Interpretation: 1/35
Q): Calculate prob of picking 1 p and 2 y when three letters picked without replacement from {n: 8, y: 6, p: 3}.
Interpretation: 9/136
Q): Two letters picked without replacement from kpghxip. What is prob of picking 1 k and 1 p?
Interpretation: 2/21
Q): What is prob of picking 1 f and 3 o when four letters picked without replacement from hhotfhoohtohoohtoo?
Interpretation: 14/765
Q): What is prob of picking 2 z when two letters picked without replacement from sqzzstotosez?
Interpretation: 1/22
Q): Two letters picke
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english
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numbers: place value
--------------------
Challenge: What is the hundred millions digit of 4605884385?
A: 6
Challenge: What is the units digit of 620823?
A: 3
Challenge: What is the thousands digit of 6756?
A: 6
Challenge: What is the millions digit of 1150107117?
A: 0
Challenge: What is the millions digit of 45353858?
A: 5
Challenge: What is the hundreds digit of 313642?
A: 6
Challenge: What is the thousands digit of 12369940?
A: 9
Challenge: What is the thousands digit of 3076?
A: 3
Challenge: What is the thousands digit of 1261905604?
A: 5
Challenge: What is the millions digit of 7848732?
A: 7
Challenge: What is the hundreds digit of 88128?
A: 1
Challenge: What is the tens digit of 345150128?
A: 2
Challenge: What is the hundreds digit of 14912?
A: 9
Challenge: What is the hundred thousands digit of 225051158?
A: 0
Challenge: What is the hundred thousands digit of 961568?
A: 9
Challenge: What is the millions digit of 365507458?
A: 5
Challenge: What is the tens digit of 1896771189?
A: 8
Challenge: What is the thousands digit of 1121?
A: 1
Challenge: What is the ten thousands digit of 10992?
A: 1
Challenge: What is the thousands digit of 3018841324?
A: 1
Challenge: What is the hundreds digit of 2369432?
A: 4
Challenge: What is the ten thousands digit of 170455122?
A: 5
Challenge: What is the hundreds digit of 65909?
A: 9
Challenge: What is the ten thousands digit of 1028485?
A: 2
Challenge: What is the hundred thousands digit of 1887430?
A: 8
Challenge: What is the ten thousands digit of 1679743?
A: 7
Challenge: What is the hundreds digit of 366821465?
A: 4
Challenge: What is the ten thousands digit of 3493038?
A: 9
Challenge: What is the ten thousands digit of 55694232?
A: 9
Challenge: What is the hundreds digit of 53575407?
A: 4
Challenge: What is the units digit of 102577?
A: 7
Challenge: What is the units digit of 39580802?
A: 2
Challenge: What is the hundreds digit of 15372?
A: 3
Challenge: What is the tens digit of 33303?
A: 0
Challenge: What is the ten thousa
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english
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numbers: is prime
-----------------
Let us solve: Is 5956781669 a prime number?
Eval: True
Let us solve: Is 4363481 composite?
Eval: True
Let us solve: Is 1128270707 a prime number?
Eval: False
Let us solve: Is 33325171 a composite number?
Eval: True
Let us solve: Is 240352763 a prime number?
Eval: False
Let us solve: Is 27331627 a composite number?
Eval: False
Let us solve: Is 36037 a composite number?
Eval: False
Let us solve: Is 543950591 prime?
Eval: False
Let us solve: Is 14717 composite?
Eval: False
Let us solve: Is 12116449 prime?
Eval: True
Let us solve: Is 342467 a composite number?
Eval: False
Let us solve: Is 5873065673 a composite number?
Eval: True
Let us solve: Is 2913313 a composite number?
Eval: True
Let us solve: Is 23772821 prime?
Eval: True
Let us solve: Is 3508984477 prime?
Eval: True
Let us solve: Is 15878617 composite?
Eval: False
Let us solve: Is 1703983 prime?
Eval: True
Let us solve: Is 16228057 a composite number?
Eval: False
Let us solve: Is 1979507 a composite number?
Eval: False
Let us solve: Is 2355935719 a prime number?
Eval: False
Let us solve: Is 339557 prime?
Eval: True
Let us solve: Is 6726613 prime?
Eval: False
Let us solve: Is 317881 a prime number?
Eval: False
Let us solve: Is 13898803 composite?
Eval: True
Let us solve: Is 10674383 prime?
Eval: True
Let us solve: Is 46957 composite?
Eval: False
Let us solve: Is 405592553 a composite number?
Eval: True
Let us solve: Is 432077 composite?
Eval: True
Let us solve: Is 18708587137 a composite number?
Eval: False
Let us solve: Is 219 composite?
Eval: True
Let us solve: Is 4577627 a prime number?
Eval: True
Let us solve: Is 90791 composite?
Eval: True
Let us solve: Is 1217 a prime number?
Eval: True
Let us solve: Is 12676957289 composite?
Eval: True
Let us solve: Is 4201 composite?
Eval: False
Let us solve: Is 1666117213 composite?
Eval: False
Let us solve: Is 34586955421 composite?
Eval: False
Let us solve: Is 2375911 composite?
Eval: True
Let us solve: Is 3299432489 composite?
Eval:
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english
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numbers: place value
--------------------
Part A: What is the hundred millions digit of 3326525649?
Workthrough: 3
Part A: What is the thousands digit of 43383?
Workthrough: 3
Part A: What is the tens digit of 8511?
Workthrough: 1
Part A: What is the units digit of 687?
Workthrough: 7
Part A: What is the ten thousands digit of 813105?
Workthrough: 1
Part A: What is the millions digit of 1393894905?
Workthrough: 3
Part A: What is the millions digit of 1316726?
Workthrough: 1
Part A: What is the thousands digit of 3910252?
Workthrough: 0
Part A: What is the units digit of 733367560?
Workthrough: 0
Part A: What is the millions digit of 13031083?
Workthrough: 3
Part A: What is the thousands digit of 3853654972?
Workthrough: 4
Part A: What is the units digit of 2758108440?
Workthrough: 0
Part A: What is the hundred millions digit of 1740976430?
Workthrough: 7
Part A: What is the tens digit of 590252975?
Workthrough: 7
Part A: What is the ten millions digit of 53012673?
Workthrough: 5
Part A: What is the units digit of 81747?
Workthrough: 7
Part A: What is the tens digit of 5347750?
Workthrough: 5
Part A: What is the hundreds digit of 914890?
Workthrough: 8
Part A: What is the hundreds digit of 4512696817?
Workthrough: 8
Part A: What is the hundred millions digit of 883793822?
Workthrough: 8
Part A: What is the tens digit of 516772650?
Workthrough: 5
Part A: What is the tens digit of 285397758?
Workthrough: 5
Part A: What is the units digit of 80896?
Workthrough: 6
Part A: What is the thousands digit of 2659?
Workthrough: 2
Part A: What is the units digit of 645460?
Workthrough: 0
Part A: What is the units digit of 128?
Workthrough: 8
Part A: What is the hundred thousands digit of 112642?
Workthrough: 1
Part A: What is the units digit of 3067?
Workthrough: 7
Part A: What is the ten thousands digit of 1160214?
Workthrough: 6
Part A: What is the millions digit of 63210190?
Workthrough: 3
Part A: What is the units digit of 23828?
Workthrough: 8
Part A: What is the hundred th
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english
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arithmetic: nearest integer root
--------------------------------
Part A: What is 74542 to the power of 1/5, to the nearest integer?
Ans: 9
Part A: What is 150762 to the power of 1/3, to the nearest integer?
Ans: 53
Part A: What is 801330 to the power of 1/2, to the nearest integer?
Ans: 895
Part A: What is the square root of 73818 to the nearest integer?
Ans: 272
Part A: What is 4322 to the power of 1/8, to the nearest integer?
Ans: 3
Part A: What is 781847 to the power of 1/10, to the nearest integer?
Ans: 4
Part A: What is 5547435 to the power of 1/3, to the nearest integer?
Ans: 177
Part A: What is the square root of 4273 to the nearest integer?
Ans: 65
Part A: What is the third root of 3985787638 to the nearest integer?
Ans: 1586
Part A: What is the cube root of 34476657 to the nearest integer?
Ans: 325
Part A: What is 76680622 to the power of 1/2, to the nearest integer?
Ans: 8757
Part A: What is 740685285 to the power of 1/4, to the nearest integer?
Ans: 165
Part A: What is 2831999119 to the power of 1/2, to the nearest integer?
Ans: 53217
Part A: What is the square root of 21347 to the nearest integer?
Ans: 146
Part A: What is the ninth root of 489424656 to the nearest integer?
Ans: 9
Part A: What is 191700 to the power of 1/3, to the nearest integer?
Ans: 58
Part A: What is the square root of 1005212470 to the nearest integer?
Ans: 31705
Part A: What is the seventh root of 23032 to the nearest integer?
Ans: 4
Part A: What is 6643170388 to the power of 1/7, to the nearest integer?
Ans: 25
Part A: What is the square root of 67769 to the nearest integer?
Ans: 260
Part A: What is 115776 to the power of 1/3, to the nearest integer?
Ans: 49
Part A: What is 39751724 to the power of 1/2, to the nearest integer?
Ans: 6305
Part A: What is 1129 to the power of 1/5, to the nearest integer?
Ans: 4
Part A: What is 390107379 to the power of 1/4, to the nearest integer?
Ans: 141
Part A: What is 150499616 to the power of 1/2, to the nearest integer?
Ans: 12268
Part A: What
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english
|
numbers: gcd
------------
Test item: What is the greatest common divisor of 382959345 and 285?
Answer: 285
Test item: Calculate the highest common divisor of 65280 and 4590.
Answer: 510
Test item: What is the highest common divisor of 513 and 152?
Answer: 19
Test item: What is the highest common factor of 75374 and 99931?
Answer: 13
Test item: What is the greatest common divisor of 21674661 and 13533?
Answer: 1041
Test item: What is the highest common factor of 598460 and 31420?
Answer: 20
Test item: Calculate the greatest common factor of 7338016 and 36176.
Answer: 1904
Test item: What is the highest common factor of 1377 and 18?
Answer: 9
Test item: Calculate the highest common factor of 23732 and 442.
Answer: 34
Test item: What is the highest common divisor of 359511 and 957?
Answer: 3
Test item: What is the greatest common factor of 61888170 and 698?
Answer: 698
Test item: What is the greatest common factor of 6 and 6711?
Answer: 3
Test item: Calculate the greatest common divisor of 132 and 36.
Answer: 12
Test item: Calculate the highest common factor of 69808 and 808.
Answer: 8
Test item: Calculate the greatest common divisor of 74 and 14837.
Answer: 37
Test item: What is the greatest common divisor of 235340 and 4060?
Answer: 140
Test item: Calculate the greatest common divisor of 16 and 534804.
Answer: 4
Test item: Calculate the highest common factor of 32 and 747472.
Answer: 16
Test item: Calculate the greatest common divisor of 55904 and 28285677.
Answer: 1747
Test item: Calculate the highest common divisor of 310460 and 178980.
Answer: 380
Test item: What is the highest common divisor of 1725 and 174156?
Answer: 69
Test item: Calculate the highest common divisor of 26640 and 388648.
Answer: 296
Test item: Calculate the greatest common factor of 36 and 2724.
Answer: 12
Test item: Calculate the greatest common factor of 238386 and 6009.
Answer: 3
Test item: What is the greatest common factor of 4199 and 95?
Answer: 19
Test item: Calculate the highest common
|
english
|
numbers: gcd
------------
Problem #: Calculate the highest common factor of 914 and 4.
= : 2
Problem #: Calculate the highest common factor of 13 and 65.
= : 13
Problem #: Calculate the greatest common factor of 108 and 30177540.
= : 36
Problem #: What is the greatest common divisor of 9585760 and 480?
= : 160
Problem #: Calculate the greatest common divisor of 2880 and 3088.
= : 16
Problem #: Calculate the highest common divisor of 472 and 16.
= : 8
Problem #: Calculate the highest common factor of 1023 and 231.
= : 33
Problem #: Calculate the highest common factor of 1644 and 1146.
= : 6
Problem #: Calculate the greatest common divisor of 1778168 and 16.
= : 8
Problem #: Calculate the greatest common factor of 499742438 and 442.
= : 442
Problem #: What is the greatest common factor of 26 and 837209152?
= : 26
Problem #: Calculate the highest common factor of 75006 and 1350.
= : 54
Problem #: What is the highest common factor of 1889 and 17929?
= : 1
Problem #: Calculate the highest common divisor of 103 and 63242.
= : 103
Problem #: Calculate the greatest common factor of 24 and 1554380376.
= : 24
Problem #: Calculate the highest common divisor of 2192 and 352.
= : 16
Problem #: Calculate the highest common divisor of 371 and 106.
= : 53
Problem #: What is the greatest common factor of 22097 and 2744930?
= : 19
Problem #: Calculate the highest common factor of 205270 and 114010.
= : 130
Problem #: What is the highest common divisor of 84 and 114?
= : 6
Problem #: Calculate the greatest common factor of 1100 and 59180.
= : 220
Problem #: Calculate the greatest common factor of 43887 and 1536.
= : 3
Problem #: What is the greatest common divisor of 269896915 and 3195?
= : 355
Problem #: Calculate the highest common divisor of 87 and 232.
= : 29
Problem #: Calculate the greatest common divisor of 58 and 4.
= : 2
Problem #: Calculate the greatest common factor of 405 and 682245.
= : 45
Problem #: Calculate the greatest common factor of 155564 and 4.
= : 4
Problem #: C
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english
|
probability: swr p level set
----------------------------
Let us solve: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, h: 1}.
Solution: 1/2
Let us solve: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from vut.
Solution: 1/3
Let us solve: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {q: 1, h: 5, a: 2, w: 2, u: 1, e: 2}.
Solution: 1/39
Let us solve: Four letters picked without replacement from eyeeeyeee. What is prob of picking 4 e?
Solution: 5/18
Let us solve: Three letters picked without replacement from {n: 4, e: 10, b: 5}. What is prob of picking 1 n and 2 b?
Solution: 40/969
Let us solve: Three letters picked without replacement from {u: 7, v: 12, d: 1}. What is prob of picking 1 d, 1 v, and 1 u?
Solution: 7/95
Let us solve: Four letters picked without replacement from ggggggeggegegg. Give prob of picking 4 g.
Solution: 30/91
Let us solve: Two letters picked without replacement from {b: 4, i: 7, a: 2, l: 5}. What is prob of picking 1 b and 1 i?
Solution: 28/153
Let us solve: Four letters picked without replacement from tfdddtdsdysdtddfstf. What is prob of picking 3 d and 1 y?
Solution: 14/969
Let us solve: What is prob of picking 1 s and 1 t when two letters picked without replacement from {h: 5, t: 1, o: 1, w: 3, q: 4, s: 1}?
Solution: 1/105
Let us solve: Four letters picked without replacement from {n: 1, x: 17}. What is prob of picking 4 x?
Solution: 7/9
Let us solve: What is prob of picking 1 b and 2 s when three letters picked without replacement from bysycsybsyysycassbys?
Solution: 21/380
Let us solve: What is prob of picking 1 v, 1 w, and 1 o when three letters picked without replacement from hvwohhhhg?
Solution: 1/84
Let us solve: Calculate prob of picking 2 z when two letters picked without replacement from rzggzzggrgzggzg.
Solution: 2/21
Let us solve: Three letters picked without replacement from {r: 4, o: 5, d: 1}. What is prob of pickin
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english
|
probability: swr p level set
----------------------------
Puzzle: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from zatjtli.
Compute: 2/21
Puzzle: Four letters picked without replacement from iimcmimiimiim. What is prob of picking 1 c and 3 m?
Compute: 2/143
Puzzle: Three letters picked without replacement from {w: 7, v: 3}. What is prob of picking 2 v and 1 w?
Compute: 7/40
Puzzle: Two letters picked without replacement from mmcmxkqxkmmxxxmq. What is prob of picking 1 m and 1 c?
Compute: 1/20
Puzzle: Three letters picked without replacement from {q: 2, j: 1, y: 2, p: 1, b: 1}. What is prob of picking 1 b, 1 p, and 1 j?
Compute: 1/35
Puzzle: Four letters picked without replacement from {f: 2, u: 1, d: 1, p: 2, v: 1, x: 2}. Give prob of picking 1 v, 1 p, and 2 f.
Compute: 1/63
Puzzle: Four letters picked without replacement from fffllllllalffllll. Give prob of picking 1 a, 2 f, and 1 l.
Compute: 11/238
Puzzle: Two letters picked without replacement from vvijbvivwkkivbi. Give prob of picking 1 j and 1 i.
Compute: 4/105
Puzzle: What is prob of picking 4 p when four letters picked without replacement from {u: 3, p: 17}?
Compute: 28/57
Puzzle: Two letters picked without replacement from {z: 3, c: 2}. Give prob of picking 1 z and 1 c.
Compute: 3/5
Puzzle: Four letters picked without replacement from {a: 2, b: 2, x: 2, j: 5, m: 2}. Give prob of picking 1 m, 1 b, and 2 a.
Compute: 4/715
Puzzle: What is prob of picking 2 a when two letters picked without replacement from {a: 7, i: 1}?
Compute: 3/4
Puzzle: Four letters picked without replacement from {q: 1, v: 3, p: 4}. What is prob of picking 3 p and 1 v?
Compute: 6/35
Puzzle: Two letters picked without replacement from kxzhakxi. Give prob of picking 1 a and 1 h.
Compute: 1/28
Puzzle: Two letters picked without replacement from ynhpuuhpuunpnhppg. What is prob of picking 1 n and 1 u?
Compute: 3/34
Puzzle: What is prob of picking 2 f when two letters picked without replacement from cfpggfgc
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english
|
numbers: is prime
-----------------
What if: Is 11851 a composite number?
Reply: True
What if: Is 2842359141 a prime number?
Reply: False
What if: Is 532031 a prime number?
Reply: False
What if: Is 2604389 prime?
Reply: False
What if: Is 473397809 composite?
Reply: False
What if: Is 171602003 prime?
Reply: True
What if: Is 265169 a composite number?
Reply: False
What if: Is 596561 prime?
Reply: False
What if: Is 3068249 a composite number?
Reply: True
What if: Is 1103348107 a composite number?
Reply: True
What if: Is 85 a composite number?
Reply: True
What if: Is 5869303 composite?
Reply: True
What if: Is 2789 composite?
Reply: False
What if: Is 3017278139 a prime number?
Reply: True
What if: Is 56246 prime?
Reply: False
What if: Is 89629 prime?
Reply: False
What if: Is 5916021 composite?
Reply: True
What if: Is 7490573 a prime number?
Reply: True
What if: Is 92891177 a composite number?
Reply: True
What if: Is 299759 a composite number?
Reply: True
What if: Is 26803327 prime?
Reply: True
What if: Is 23150291 a prime number?
Reply: True
What if: Is 1924699 a prime number?
Reply: False
What if: Is 499595527 a prime number?
Reply: True
What if: Is 759045691 a composite number?
Reply: False
What if: Is 3087655997 prime?
Reply: True
What if: Is 37366015 prime?
Reply: False
What if: Is 33292859 composite?
Reply: True
What if: Is 9235379 prime?
Reply: False
What if: Is 6336144721 prime?
Reply: False
What if: Is 127580489 a prime number?
Reply: True
What if: Is 20317 a composite number?
Reply: True
What if: Is 6476825599 composite?
Reply: True
What if: Is 10427 prime?
Reply: True
What if: Is 50607231877 a prime number?
Reply: False
What if: Is 1064741 composite?
Reply: True
What if: Is 216289 a composite number?
Reply: False
What if: Is 85800730001 prime?
Reply: False
What if: Is 3157808111 prime?
Reply: True
What if: Is 18260413 a composite number?
Reply: True
What if: Is 2741271241 a prime number?
Reply: True
What if: Is 962733 prime?
Reply: False
What if: Is 215018 a co
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english
|
probability: swr p level set
----------------------------
Example: Two letters picked without replacement from {y: 3, p: 2}. What is prob of picking 2 y?
Answer: 3/10
Example: Two letters picked without replacement from yvyiyyvviyyvii. What is prob of picking 2 i?
Answer: 6/91
Example: What is prob of picking 3 i when three letters picked without replacement from iiiiiiiiitiiiiiiii?
Answer: 5/6
Example: What is prob of picking 1 v and 3 h when four letters picked without replacement from vhtvvhvhtvtvhvhht?
Answer: 1/17
Example: Four letters picked without replacement from {n: 1, g: 4, v: 2}. What is prob of picking 2 v, 1 n, and 1 g?
Answer: 4/35
Example: Calculate prob of picking 1 b, 1 r, and 2 c when four letters picked without replacement from bbcggrbgbcg.
Answer: 2/165
Example: Three letters picked without replacement from {a: 7, n: 12}. What is prob of picking 3 n?
Answer: 220/969
Example: Three letters picked without replacement from {x: 3, w: 3, k: 7, c: 4, b: 3}. Give prob of picking 2 b and 1 x.
Answer: 3/380
Example: Three letters picked without replacement from {f: 1, e: 1, v: 1, s: 1, b: 4}. What is prob of picking 2 b and 1 e?
Answer: 3/28
Example: What is prob of picking 2 i when two letters picked without replacement from {i: 2, m: 1, e: 1, a: 1, n: 2}?
Answer: 1/21
Example: What is prob of picking 2 y when two letters picked without replacement from {n: 4, y: 6, a: 3}?
Answer: 5/26
Example: Calculate prob of picking 2 n when two letters picked without replacement from {w: 1, n: 2, d: 2, t: 1, a: 2}.
Answer: 1/28
Example: Two letters picked without replacement from ywwywwy. Give prob of picking 2 y.
Answer: 1/7
Example: Three letters picked without replacement from {x: 1, p: 1, j: 2, c: 1, l: 1, a: 1}. Give prob of picking 1 x, 1 a, and 1 p.
Answer: 1/35
Example: Calculate prob of picking 2 u when two letters picked without replacement from {y: 1, u: 12}.
Answer: 11/13
Example: Four letters picked without replacement from cyycyyyyyccycy. What is prob
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english
|
comparison: kth biggest
-----------------------
Problem Statement: Which is the fourth biggest value? (a) 0.048 (b) -0.09 (c) 4 (d) 3/11
Clarification: b
Problem Statement: Which is the second biggest value? (a) 6/25 (b) 0.4 (c) 1016 (d) 1/7 (e) -3
Clarification: b
Problem Statement: Which is the fourth biggest value? (a) 130905 (b) -2 (c) -7/6 (d) 2 (e) 5
Clarification: c
Problem Statement: What is the biggest value in -0.4, -997/4, -122?
Clarification: -0.4
Problem Statement: Which is the second smallest value? (a) 3 (b) 4/9 (c) 17
Clarification: a
Problem Statement: Which is the third smallest value? (a) 0.2 (b) -1/5 (c) -6160916
Clarification: a
Problem Statement: Which is the second smallest value? (a) -0.4 (b) -223 (c) -7
Clarification: c
Problem Statement: What is the second biggest value in -8, -4, -3/2?
Clarification: -4
Problem Statement: Which is the fourth biggest value? (a) -2/5 (b) -2/7 (c) 1/7 (d) 0.5
Clarification: a
Problem Statement: Which is the smallest value? (a) -0.2 (b) -0.4 (c) -563 (d) 34
Clarification: c
Problem Statement: What is the third smallest value in -4/3, 0.5, 717, -0.5, 2?
Clarification: 0.5
Problem Statement: Which is the second smallest value? (a) 446/3 (b) 2/23 (c) -5
Clarification: b
Problem Statement: What is the biggest value in -2, 4/3, 33/5?
Clarification: 33/5
Problem Statement: Which is the third smallest value? (a) -5 (b) -89 (c) 6/331 (d) -0.3
Clarification: d
Problem Statement: Which is the fifth smallest value? (a) 0.5 (b) -4 (c) -0.2 (d) -54 (e) -7
Clarification: a
Problem Statement: Which is the third smallest value? (a) 0 (b) 5 (c) 33123
Clarification: c
Problem Statement: What is the third smallest value in -24, -3, -0.1, -2/9?
Clarification: -2/9
Problem Statement: Which is the third smallest value? (a) -285573 (b) -0.01 (c) 0
Clarification: c
Problem Statement: Which is the third smallest value? (a) 0 (b) 3 (c) 2/29 (d) 1
Clarification: d
Problem Statement: W
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english
|
measurement: time
-----------------
Task: What is 186 minutes before 10:56 PM?
Compute: 7:50 PM
Task: What is 691 minutes after 6:05 AM?
Compute: 5:36 PM
Task: How many minutes are there between 6:45 AM and 2:04 PM?
Compute: 439
Task: What is 453 minutes after 4:39 PM?
Compute: 12:12 AM
Task: What is 609 minutes after 10:06 PM?
Compute: 8:15 AM
Task: How many minutes are there between 1:08 PM and 4:00 PM?
Compute: 172
Task: How many minutes are there between 4:25 PM and 8:02 PM?
Compute: 217
Task: What is 255 minutes after 3:02 AM?
Compute: 7:17 AM
Task: What is 40 minutes before 2:54 PM?
Compute: 2:14 PM
Task: How many minutes are there between 11:34 AM and 7:59 PM?
Compute: 505
Task: What is 194 minutes after 2:18 PM?
Compute: 5:32 PM
Task: How many minutes are there between 8:25 AM and 2:31 PM?
Compute: 366
Task: What is 620 minutes before 6:11 AM?
Compute: 7:51 PM
Task: How many minutes are there between 12:13 AM and 2:53 AM?
Compute: 160
Task: What is 681 minutes before 4:50 PM?
Compute: 5:29 AM
Task: How many minutes are there between 6:01 AM and 2:29 PM?
Compute: 508
Task: How many minutes are there between 11:05 AM and 2:01 PM?
Compute: 176
Task: How many minutes are there between 4:54 PM and 4:44 AM?
Compute: 710
Task: How many minutes are there between 11:28 PM and 11:17 AM?
Compute: 709
Task: How many minutes are there between 1:00 PM and 10:03 PM?
Compute: 543
Task: How many minutes are there between 10:10 PM and 2:08 AM?
Compute: 238
Task: What is 428 minutes after 10:16 PM?
Compute: 5:24 AM
Task: What is 400 minutes before 9:55 AM?
Compute: 3:15 AM
Task: How many minutes are there between 9:49 PM and 5:23 AM?
Compute: 454
Task: How many minutes are there between 6:10 AM and 10:25 AM?
Compute: 255
Task: How many minutes are there between 11:58 PM and 5:18 AM?
Compute: 320
Task: How many minutes are there between 6:06 AM and 10:59 AM?
Compute: 293
Task: How many minutes are there between 2:33 AM and 9:36 AM?
Compute: 423
Task: How many minutes are there
|
english
|
numbers: place value
--------------------
Part A: What is the units digit of 142934171?
Steps: 1
Part A: What is the ten thousands digit of 513597?
Steps: 1
Part A: What is the units digit of 35733?
Steps: 3
Part A: What is the ten thousands digit of 8865967?
Steps: 6
Part A: What is the units digit of 173?
Steps: 3
Part A: What is the hundreds digit of 5972?
Steps: 9
Part A: What is the units digit of 989142?
Steps: 2
Part A: What is the hundreds digit of 15126?
Steps: 1
Part A: What is the ten thousands digit of 22343?
Steps: 2
Part A: What is the tens digit of 614?
Steps: 1
Part A: What is the units digit of 2400?
Steps: 0
Part A: What is the units digit of 8331?
Steps: 1
Part A: What is the hundreds digit of 53779750?
Steps: 7
Part A: What is the tens digit of 35992557?
Steps: 5
Part A: What is the hundreds digit of 624?
Steps: 6
Part A: What is the tens digit of 888440?
Steps: 4
Part A: What is the hundred thousands digit of 932145134?
Steps: 1
Part A: What is the ten thousands digit of 132603?
Steps: 3
Part A: What is the thousands digit of 62434?
Steps: 2
Part A: What is the units digit of 20278?
Steps: 8
Part A: What is the tens digit of 2020?
Steps: 2
Part A: What is the units digit of 120496116?
Steps: 6
Part A: What is the units digit of 940?
Steps: 0
Part A: What is the hundreds digit of 59831532?
Steps: 5
Part A: What is the hundreds digit of 652?
Steps: 6
Part A: What is the tens digit of 80000?
Steps: 0
Part A: What is the units digit of 11748?
Steps: 8
Part A: What is the ten millions digit of 245370589?
Steps: 4
Part A: What is the tens digit of 13465?
Steps: 6
Part A: What is the units digit of 3592?
Steps: 2
Part A: What is the units digit of 6894?
Steps: 4
Part A: What is the ten thousands digit of 16189?
Steps: 1
Part A: What is the hundred thousands digit of 161024?
Steps: 1
Part A: What is the hundreds digit of 695778578?
Steps: 5
Part A: What is the units digit of 4106?
Steps: 6
Part A: What is the thousands digit of 22410?
Steps: 2
Part A: W
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english
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numbers: is prime
-----------------
Request: Is 43003 composite?
Result: False
Request: Is 163546121 composite?
Result: False
Request: Is 234163 a prime number?
Result: False
Request: Is 2711407 composite?
Result: True
Request: Is 4751 a composite number?
Result: False
Request: Is 6921210923 prime?
Result: False
Request: Is 6113198633 prime?
Result: True
Request: Is 47167095949 prime?
Result: False
Request: Is 318732008527 a composite number?
Result: False
Request: Is 8163737 a composite number?
Result: False
Request: Is 4102979 composite?
Result: False
Request: Is 9640097381 prime?
Result: True
Request: Is 347 a composite number?
Result: False
Request: Is 860009 composite?
Result: False
Request: Is 11744771 composite?
Result: True
Request: Is 11561790797 composite?
Result: True
Request: Is 9505313159 prime?
Result: True
Request: Is 12759 prime?
Result: False
Request: Is 119920841 a composite number?
Result: False
Request: Is 7283323 a prime number?
Result: False
Request: Is 7380361 a prime number?
Result: True
Request: Is 6521 composite?
Result: False
Request: Is 721914703 prime?
Result: False
Request: Is 7059683 composite?
Result: False
Request: Is 3256239419 a prime number?
Result: True
Request: Is 51567 a prime number?
Result: False
Request: Is 9878028701 prime?
Result: True
Request: Is 702830855 prime?
Result: False
Request: Is 25131745 prime?
Result: False
Request: Is 53583749 a composite number?
Result: False
Request: Is 151303 a prime number?
Result: True
Request: Is 318103 composite?
Result: False
Request: Is 6287 a prime number?
Result: True
Request: Is 17513 a composite number?
Result: True
Request: Is 241049773 a composite number?
Result: False
Request: Is 83339 a prime number?
Result: True
Request: Is 1477903 prime?
Result: False
Request: Is 2302537 a composite number?
Result: False
Request: Is 523045373 a prime number?
Result: True
Request: Is 1523161 a composite number?
Result: False
Request: Is 2090441 prime?
Result: True
Request: Is 8333 prime?
Resu
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measurement: time
-----------------
Given: How many minutes are there between 5:18 PM and 12:26 AM?
Thus: 428
Given: What is 371 minutes after 3:24 AM?
Thus: 9:35 AM
Given: What is 504 minutes before 10:06 PM?
Thus: 1:42 PM
Given: How many minutes are there between 3:58 PM and 2:34 AM?
Thus: 636
Given: What is 400 minutes before 9:34 PM?
Thus: 2:54 PM
Given: How many minutes are there between 8:07 AM and 5:14 PM?
Thus: 547
Given: How many minutes are there between 2:13 PM and 5:50 PM?
Thus: 217
Given: How many minutes are there between 9:13 PM and 1:50 AM?
Thus: 277
Given: What is 265 minutes after 3:59 PM?
Thus: 8:24 PM
Given: How many minutes are there between 2:11 PM and 2:47 PM?
Thus: 36
Given: What is 667 minutes before 9:33 PM?
Thus: 10:26 AM
Given: What is 391 minutes before 2:30 PM?
Thus: 7:59 AM
Given: How many minutes are there between 2:32 AM and 6:45 AM?
Thus: 253
Given: How many minutes are there between 9:28 PM and 10:04 PM?
Thus: 36
Given: How many minutes are there between 1:09 PM and 4:26 PM?
Thus: 197
Given: How many minutes are there between 10:58 PM and 1:30 AM?
Thus: 152
Given: What is 587 minutes after 3:33 AM?
Thus: 1:20 PM
Given: What is 49 minutes before 6:44 PM?
Thus: 5:55 PM
Given: What is 693 minutes before 10:43 AM?
Thus: 11:10 PM
Given: How many minutes are there between 10:47 AM and 11:46 AM?
Thus: 59
Given: How many minutes are there between 11:32 PM and 8:35 AM?
Thus: 543
Given: How many minutes are there between 12:39 AM and 6:46 AM?
Thus: 367
Given: What is 386 minutes after 5:26 AM?
Thus: 11:52 AM
Given: How many minutes are there between 8:56 PM and 4:19 AM?
Thus: 443
Given: How many minutes are there between 1:44 AM and 4:20 AM?
Thus: 156
Given: What is 539 minutes before 5:28 AM?
Thus: 8:29 PM
Given: What is 327 minutes before 5:17 PM?
Thus: 11:50 AM
Given: How many minutes are there between 2:55 AM and 9:45 AM?
Thus: 410
Given: How many minutes are there between 7:21 PM and 7:35 PM?
Thus: 14
Given: What is 324 minutes after 10
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probability: swr p sequence
---------------------------
Example: Three letters picked without replacement from xdidmyeyixmy. Give prob of sequence xiy.
Compute: 1/110
Example: Two letters picked without replacement from {c: 6, o: 7}. Give prob of sequence oo.
Compute: 7/26
Example: What is prob of sequence wvv when three letters picked without replacement from vwwvvvvvvwvwvw?
Compute: 15/91
Example: Calculate prob of sequence sse when three letters picked without replacement from ssssssssssesssssss.
Compute: 1/18
Example: What is prob of sequence ylh when three letters picked without replacement from {l: 1, h: 2, y: 1}?
Compute: 1/12
Example: Three letters picked without replacement from {l: 1, t: 3, f: 2, o: 1, w: 2, k: 9}. Give prob of sequence klf.
Compute: 1/272
Example: Three letters picked without replacement from hclchckhlhllhhlhnhl. What is prob of sequence ccc?
Compute: 1/969
Example: Calculate prob of sequence tmmm when four letters picked without replacement from {m: 5, t: 9}.
Compute: 45/2002
Example: Calculate prob of sequence wxwx when four letters picked without replacement from xwxxwx.
Compute: 1/15
Example: What is prob of sequence wds when three letters picked without replacement from {e: 1, d: 6, w: 3, s: 9}?
Compute: 9/323
Example: Three letters picked without replacement from {x: 6, k: 2, o: 6, h: 3, v: 3}. Give prob of sequence xhk.
Compute: 1/190
Example: Two letters picked without replacement from {q: 1, w: 1, j: 1, x: 1, b: 1}. What is prob of sequence qx?
Compute: 1/20
Example: Calculate prob of sequence rtr when three letters picked without replacement from rtrtrttrtrrtttttrtt.
Compute: 28/323
Example: Four letters picked without replacement from hknhhqkmhm. What is prob of sequence nkkm?
Compute: 1/1260
Example: Two letters picked without replacement from {p: 2, n: 1, x: 2, c: 4, v: 2, d: 1}. Give prob of sequence vd.
Compute: 1/66
Example: Calculate prob of sequence vvvs when four letters picked without replacement from ssisvsvvi.
Comput
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numbers: place value
--------------------
Q.: What is the units digit of 13861344?
Response: 4
Q.: What is the ten millions digit of 1435561415?
Response: 3
Q.: What is the hundreds digit of 5391?
Response: 3
Q.: What is the millions digit of 4615714?
Response: 4
Q.: What is the units digit of 92554?
Response: 4
Q.: What is the hundred thousands digit of 440178?
Response: 4
Q.: What is the tens digit of 3833?
Response: 3
Q.: What is the tens digit of 2152?
Response: 5
Q.: What is the thousands digit of 222308?
Response: 2
Q.: What is the hundred thousands digit of 456538?
Response: 4
Q.: What is the thousands digit of 1700?
Response: 1
Q.: What is the thousands digit of 1419349?
Response: 9
Q.: What is the hundreds digit of 1275576623?
Response: 6
Q.: What is the hundreds digit of 1449206?
Response: 2
Q.: What is the thousands digit of 5348?
Response: 5
Q.: What is the units digit of 177?
Response: 7
Q.: What is the hundred thousands digit of 4221412241?
Response: 4
Q.: What is the units digit of 144?
Response: 4
Q.: What is the hundreds digit of 59710?
Response: 7
Q.: What is the units digit of 1134224?
Response: 4
Q.: What is the hundreds digit of 11785?
Response: 7
Q.: What is the hundreds digit of 592?
Response: 5
Q.: What is the tens digit of 853?
Response: 5
Q.: What is the hundreds digit of 348?
Response: 3
Q.: What is the units digit of 16605754?
Response: 4
Q.: What is the hundreds digit of 1775?
Response: 7
Q.: What is the millions digit of 840596026?
Response: 0
Q.: What is the hundred thousands digit of 17383981?
Response: 3
Q.: What is the thousands digit of 822293?
Response: 2
Q.: What is the tens digit of 5501476472?
Response: 7
Q.: What is the ten thousands digit of 76426?
Response: 7
Q.: What is the ten millions digit of 31776082?
Response: 3
Q.: What is the millions digit of 4159717?
Response: 4
Q.: What is the thousands digit of 12386174?
Response: 6
Q.: What is the thousands digit of 827417?
Response: 7
Q.: What is the units digit of 29517435?
Re
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numbers: div remainder
----------------------
Case: Calculate the remainder when 103489705 is divided by 17248281.
Reply: 19
Case: What is the remainder when 1378 is divided by 685?
Reply: 8
Case: What is the remainder when 244 is divided by 56?
Reply: 20
Case: Calculate the remainder when 6637 is divided by 265.
Reply: 12
Case: What is the remainder when 52103 is divided by 51465?
Reply: 638
Case: Calculate the remainder when 3846642 is divided by 961640.
Reply: 82
Case: Calculate the remainder when 21188 is divided by 4737.
Reply: 2240
Case: Calculate the remainder when 9763630 is divided by 562.
Reply: 4
Case: Calculate the remainder when 1273857 is divided by 21.
Reply: 18
Case: Calculate the remainder when 7320 is divided by 209.
Reply: 5
Case: What is the remainder when 4150 is divided by 120?
Reply: 70
Case: Calculate the remainder when 79 is divided by 72.
Reply: 7
Case: Calculate the remainder when 487586 is divided by 80.
Reply: 66
Case: What is the remainder when 1122 is divided by 25?
Reply: 22
Case: Calculate the remainder when 781 is divided by 73.
Reply: 51
Case: Calculate the remainder when 81 is divided by 30.
Reply: 21
Case: Calculate the remainder when 1210 is divided by 81.
Reply: 76
Case: Calculate the remainder when 688728 is divided by 2159.
Reply: 7
Case: Calculate the remainder when 230 is divided by 7.
Reply: 6
Case: What is the remainder when 391291 is divided by 59?
Reply: 3
Case: What is the remainder when 230884 is divided by 518?
Reply: 374
Case: Calculate the remainder when 1538 is divided by 171.
Reply: 170
Case: What is the remainder when 485 is divided by 274?
Reply: 211
Case: What is the remainder when 106497 is divided by 20741?
Reply: 2792
Case: Calculate the remainder when 922 is divided by 458.
Reply: 6
Case: What is the remainder when 16925 is divided by 67?
Reply: 41
Case: What is the remainder when 57 is divided by 14?
Reply: 1
Case: Calculate the remainder when 26244 is divided by 214.
Reply: 136
Case: Calculate the remain
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english
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numbers: place value
--------------------
Q: What is the hundreds digit of 373582?
Sol: 5
Q: What is the units digit of 1268?
Sol: 8
Q: What is the hundreds digit of 7474121?
Sol: 1
Q: What is the units digit of 286815812?
Sol: 2
Q: What is the hundred thousands digit of 3399797?
Sol: 3
Q: What is the hundreds digit of 119946?
Sol: 9
Q: What is the tens digit of 5715?
Sol: 1
Q: What is the tens digit of 1579?
Sol: 7
Q: What is the ten thousands digit of 3195546622?
Sol: 4
Q: What is the tens digit of 6740?
Sol: 4
Q: What is the billions digit of 1250267005?
Sol: 1
Q: What is the ten thousands digit of 67075732?
Sol: 7
Q: What is the thousands digit of 2874?
Sol: 2
Q: What is the ten millions digit of 175839521?
Sol: 7
Q: What is the ten thousands digit of 563773?
Sol: 6
Q: What is the thousands digit of 1055?
Sol: 1
Q: What is the thousands digit of 1063?
Sol: 1
Q: What is the units digit of 1772869?
Sol: 9
Q: What is the ten millions digit of 2457328433?
Sol: 5
Q: What is the hundred thousands digit of 1423160?
Sol: 4
Q: What is the ten millions digit of 201395012?
Sol: 0
Q: What is the units digit of 286437?
Sol: 7
Q: What is the hundreds digit of 116744487?
Sol: 4
Q: What is the hundred thousands digit of 1328527?
Sol: 3
Q: What is the units digit of 35140837?
Sol: 7
Q: What is the units digit of 44170?
Sol: 0
Q: What is the tens digit of 3074?
Sol: 7
Q: What is the ten thousands digit of 80243?
Sol: 8
Q: What is the hundreds digit of 793351467?
Sol: 4
Q: What is the ten thousands digit of 127908481?
Sol: 0
Q: What is the millions digit of 66685460?
Sol: 6
Q: What is the millions digit of 26206376?
Sol: 6
Q: What is the ten thousands digit of 3743346215?
Sol: 4
Q: What is the hundreds digit of 154246?
Sol: 2
Q: What is the hundreds digit of 49199?
Sol: 1
Q: What is the units digit of 53716668?
Sol: 8
Q: What is the millions digit of 194851807?
Sol: 4
Q: What is the ten thousands digit of 331881395?
Sol: 8
Q: What is the units digit of 15105?
Sol: 5
Q: What is the
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english
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probability: swr p sequence
---------------------------
Subject: Three letters picked without replacement from oozozo. Give prob of sequence zzo.
Eval: 1/15
Subject: Four letters picked without replacement from dniii. What is prob of sequence iiin?
Eval: 1/20
Subject: Four letters picked without replacement from izhgi. What is prob of sequence hizi?
Eval: 1/60
Subject: Calculate prob of sequence uc when two letters picked without replacement from {c: 3, u: 1}.
Eval: 1/4
Subject: Calculate prob of sequence tjfj when four letters picked without replacement from {t: 1, j: 2, p: 2, f: 1}.
Eval: 1/180
Subject: Calculate prob of sequence ssec when four letters picked without replacement from {z: 3, e: 6, c: 2, s: 2, b: 2}.
Eval: 1/1365
Subject: Two letters picked without replacement from zyyyyyyzyy. What is prob of sequence zz?
Eval: 1/45
Subject: Calculate prob of sequence fsnf when four letters picked without replacement from {n: 1, b: 5, f: 5, s: 7}.
Eval: 7/3672
Subject: Two letters picked without replacement from {q: 7, d: 2, m: 1, x: 1, l: 3}. What is prob of sequence mq?
Eval: 1/26
Subject: What is prob of sequence baq when three letters picked without replacement from {a: 7, x: 1, i: 1, q: 7, h: 1, b: 3}?
Eval: 49/2280
Subject: What is prob of sequence jjp when three letters picked without replacement from {m: 3, j: 3, p: 1}?
Eval: 1/35
Subject: Three letters picked without replacement from {j: 1, e: 1, w: 1, h: 1, z: 1}. What is prob of sequence hwz?
Eval: 1/60
Subject: Calculate prob of sequence mqqc when four letters picked without replacement from {q: 2, m: 8, c: 2}.
Eval: 4/1485
Subject: Two letters picked without replacement from {g: 2, x: 1, m: 2, b: 14}. Give prob of sequence xm.
Eval: 1/171
Subject: Calculate prob of sequence jji when three letters picked without replacement from ijjjjijiiujijui.
Eval: 6/65
Subject: What is prob of sequence mdm when three letters picked without replacement from {m: 4, d: 3}?
Eval: 6/35
Subject: Four letters picked without
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english
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probability: swr p sequence
---------------------------
Ask: Calculate prob of sequence ooo when three letters picked without replacement from ottootzococztttocc.
Final Answer: 5/204
Ask: Two letters picked without replacement from {u: 3, s: 2, a: 3, h: 10}. Give prob of sequence us.
Final Answer: 1/51
Ask: Calculate prob of sequence rosg when four letters picked without replacement from gggogoogrrrgoogsrr.
Final Answer: 35/14688
Ask: What is prob of sequence bb when two letters picked without replacement from bbbybbybyybyybby?
Final Answer: 3/10
Ask: Calculate prob of sequence hb when two letters picked without replacement from {q: 1, m: 1, j: 1, h: 1, k: 1, b: 2}.
Final Answer: 1/21
Ask: What is prob of sequence ll when two letters picked without replacement from lhlllllllhlllllh?
Final Answer: 13/20
Ask: Calculate prob of sequence sjp when three letters picked without replacement from {s: 2, p: 3, e: 2, t: 3, j: 3}.
Final Answer: 3/286
Ask: What is prob of sequence hd when two letters picked without replacement from hhhhddhhhhhhhhhhhuhd?
Final Answer: 12/95
Ask: What is prob of sequence kkj when three letters picked without replacement from {j: 2, k: 18}?
Final Answer: 17/190
Ask: What is prob of sequence mm when two letters picked without replacement from hhmtmhmhh?
Final Answer: 1/12
Ask: Calculate prob of sequence lee when three letters picked without replacement from {e: 2, l: 2}.
Final Answer: 1/6
Ask: What is prob of sequence ogw when three letters picked without replacement from {a: 2, o: 1, g: 1, w: 1, e: 1, d: 1}?
Final Answer: 1/210
Ask: Calculate prob of sequence iill when four letters picked without replacement from {i: 2, l: 7}.
Final Answer: 1/36
Ask: Four letters picked without replacement from {j: 5, d: 8, c: 5}. Give prob of sequence jdcd.
Final Answer: 35/1836
Ask: Calculate prob of sequence bb when two letters picked without replacement from {a: 2, q: 3, f: 1, n: 3, b: 3, u: 2}.
Final Answer: 3/91
Ask: Three letters picked without replacement f
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english
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probability: swr p level set
----------------------------
Task: Calculate prob of picking 1 c and 2 i when three letters picked without replacement from {i: 2, r: 1, c: 1, j: 3}.
Output: 1/35
Task: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {g: 18, y: 2}.
Output: 18/95
Task: Calculate prob of picking 1 n, 1 b, and 2 p when four letters picked without replacement from cpnbpggjb.
Output: 1/63
Task: Three letters picked without replacement from kwzezwwzfzz. What is prob of picking 1 k, 1 f, and 1 w?
Output: 1/55
Task: Calculate prob of picking 1 j and 3 n when four letters picked without replacement from nnghnnhwntjwntnhn.
Output: 2/85
Task: Three letters picked without replacement from qqqnqnh. Give prob of picking 1 h and 2 q.
Output: 6/35
Task: Three letters picked without replacement from jeflumj. What is prob of picking 1 j, 1 f, and 1 e?
Output: 2/35
Task: Calculate prob of picking 2 l when two letters picked without replacement from {c: 2, m: 1, l: 2, x: 1, k: 1}.
Output: 1/21
Task: Calculate prob of picking 1 z, 2 s, and 1 l when four letters picked without replacement from {z: 1, i: 1, s: 4, l: 9}.
Output: 18/455
Task: Three letters picked without replacement from {c: 2, v: 2, l: 4}. Give prob of picking 1 c and 2 l.
Output: 3/14
Task: Two letters picked without replacement from {y: 4, k: 15}. What is prob of picking 1 y and 1 k?
Output: 20/57
Task: What is prob of picking 1 x and 3 k when four letters picked without replacement from kxxkkkkkrlxxlkkrkr?
Output: 28/255
Task: Four letters picked without replacement from {e: 1, p: 1, q: 1, u: 2, o: 2}. Give prob of picking 1 u, 1 o, 1 q, and 1 p.
Output: 4/35
Task: Calculate prob of picking 2 j when two letters picked without replacement from {v: 1, j: 2, n: 2, q: 8}.
Output: 1/78
Task: Calculate prob of picking 1 y, 1 h, and 1 o when three letters picked without replacement from hchooyhhhycy.
Output: 3/22
Task: Two letters picked without replacement from {v: 1, f: 2}.
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english
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arithmetic: nearest integer root
--------------------------------
Q.: What is 232079 to the power of 1/3, to the nearest integer?
Derivation: 61
Q.: What is 376235 to the power of 1/4, to the nearest integer?
Derivation: 25
Q.: What is 2173 to the power of 1/5, to the nearest integer?
Derivation: 5
Q.: What is 43803162 to the power of 1/8, to the nearest integer?
Derivation: 9
Q.: What is 53484432 to the power of 1/8, to the nearest integer?
Derivation: 9
Q.: What is the cube root of 1900 to the nearest integer?
Derivation: 12
Q.: What is 1054357 to the power of 1/2, to the nearest integer?
Derivation: 1027
Q.: What is the cube root of 2220303 to the nearest integer?
Derivation: 130
Q.: What is the square root of 83945 to the nearest integer?
Derivation: 290
Q.: What is 297923 to the power of 1/2, to the nearest integer?
Derivation: 546
Q.: What is 19296457 to the power of 1/10, to the nearest integer?
Derivation: 5
Q.: What is 1868 to the power of 1/4, to the nearest integer?
Derivation: 7
Q.: What is the eighth root of 12857263 to the nearest integer?
Derivation: 8
Q.: What is the eighth root of 19844 to the nearest integer?
Derivation: 3
Q.: What is the square root of 128687940 to the nearest integer?
Derivation: 11344
Q.: What is the square root of 15770 to the nearest integer?
Derivation: 126
Q.: What is 1213 to the power of 1/3, to the nearest integer?
Derivation: 11
Q.: What is 226730218 to the power of 1/8, to the nearest integer?
Derivation: 11
Q.: What is 121995 to the power of 1/3, to the nearest integer?
Derivation: 50
Q.: What is 92456410 to the power of 1/2, to the nearest integer?
Derivation: 9615
Q.: What is the seventh root of 426 to the nearest integer?
Derivation: 2
Q.: What is the cube root of 80243 to the nearest integer?
Derivation: 43
Q.: What is 1925907146 to the power of 1/10, to the nearest integer?
Derivation: 8
Q.: What is 3970 to the power of 1/2, to the nearest integer?
Derivation: 63
Q.: What is the third root of 162 to the nearest int
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english
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probability: swr p sequence
---------------------------
Q): Calculate prob of sequence mfq when three letters picked without replacement from {m: 4, t: 2, q: 3, f: 8}.
→: 2/85
Q): Three letters picked without replacement from {g: 8, h: 4, c: 3, i: 1, a: 2, k: 2}. What is prob of sequence ahh?
→: 1/285
Q): What is prob of sequence idam when four letters picked without replacement from iimddiiiiddimiiiida?
→: 55/46512
Q): Four letters picked without replacement from {a: 3, b: 1}. Give prob of sequence aaba.
→: 1/4
Q): What is prob of sequence oo when two letters picked without replacement from {n: 7, o: 5, l: 2}?
→: 10/91
Q): What is prob of sequence jl when two letters picked without replacement from {j: 1, l: 3, o: 4, g: 3, v: 5, m: 1}?
→: 3/272
Q): Calculate prob of sequence nt when two letters picked without replacement from ntnzmmmetthtt.
→: 5/78
Q): Calculate prob of sequence lenm when four letters picked without replacement from mnlnexnnxn.
→: 1/1008
Q): What is prob of sequence wzzz when four letters picked without replacement from zwzwzwzzwwwzwwwwww?
→: 1/51
Q): Three letters picked without replacement from cndhhmb. What is prob of sequence cmm?
→: 0
Q): What is prob of sequence ksfk when four letters picked without replacement from fpkspxxvxpxp?
→: 0
Q): Calculate prob of sequence evjt when four letters picked without replacement from jtvttue.
→: 1/280
Q): What is prob of sequence jgju when four letters picked without replacement from jgjxgjjuggj?
→: 1/99
Q): What is prob of sequence gggk when four letters picked without replacement from {k: 2, l: 1, g: 1, t: 1, u: 2}?
→: 0
Q): Four letters picked without replacement from {a: 5, k: 14}. Give prob of sequence kaaa.
→: 35/3876
Q): Three letters picked without replacement from gggggggjgjggggggjj. Give prob of sequence jjj.
→: 1/204
Q): Three letters picked without replacement from nnvnvvnn. What is prob of sequence vnn?
→: 5/28
Q): Two letters picked without replacement from {s: 4, t: 14}. Give prob of sequence
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english
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probability: swr p level set
----------------------------
Problem Statement: Four letters picked without replacement from mlmsmomsamollmlm. Give prob of picking 1 o, 2 l, and 1 m.
A.: 3/65
Problem Statement: What is prob of picking 2 d when two letters picked without replacement from rddddddfyffryddd?
A.: 3/10
Problem Statement: What is prob of picking 1 s and 1 r when two letters picked without replacement from {s: 1, j: 1, r: 1}?
A.: 1/3
Problem Statement: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {v: 1, f: 1, d: 1, m: 2}.
A.: 1/10
Problem Statement: Two letters picked without replacement from {k: 2, r: 2}. What is prob of picking 1 k and 1 r?
A.: 2/3
Problem Statement: What is prob of picking 1 x and 1 j when two letters picked without replacement from {y: 2, j: 7, k: 3, x: 5}?
A.: 35/136
Problem Statement: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {z: 1, n: 2, h: 1, j: 1}.
A.: 1/5
Problem Statement: Three letters picked without replacement from {w: 6, p: 12}. Give prob of picking 1 p and 2 w.
A.: 15/68
Problem Statement: Four letters picked without replacement from {f: 3, e: 5, k: 5, m: 1, r: 1}. What is prob of picking 3 f and 1 e?
A.: 1/273
Problem Statement: Two letters picked without replacement from bbamgmambrgbabbbnn. Give prob of picking 2 n.
A.: 1/153
Problem Statement: Two letters picked without replacement from {c: 1, w: 2, h: 4, y: 2, r: 2, g: 1}. Give prob of picking 2 w.
A.: 1/66
Problem Statement: Four letters picked without replacement from ggfggfggggfggggggf. Give prob of picking 3 f and 1 g.
A.: 14/765
Problem Statement: What is prob of picking 4 e when four letters picked without replacement from neeeteeeeemem?
A.: 126/715
Problem Statement: What is prob of picking 2 i and 1 e when three letters picked without replacement from {e: 1, t: 6, l: 8, i: 3}?
A.: 1/272
Problem Statement: What is prob of picking 2 y when two letters picked without replacement from
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probability: swr p sequence
---------------------------
Ask: Two letters picked without replacement from {s: 1, f: 1, k: 3, c: 3, g: 5}. Give prob of sequence kg.
Hence: 5/52
Ask: Calculate prob of sequence uuu when three letters picked without replacement from uuu.
Hence: 1
Ask: Calculate prob of sequence tp when two letters picked without replacement from {t: 3, p: 3, e: 3, z: 3, u: 1, x: 5}.
Hence: 1/34
Ask: Calculate prob of sequence pp when two letters picked without replacement from {r: 1, p: 3, m: 2, x: 1, v: 3, s: 1}.
Hence: 3/55
Ask: Four letters picked without replacement from {q: 13, l: 1, a: 3}. What is prob of sequence aaql?
Hence: 13/9520
Ask: Four letters picked without replacement from {r: 2, w: 9}. Give prob of sequence rwrw.
Hence: 1/55
Ask: What is prob of sequence nq when two letters picked without replacement from {q: 1, n: 3}?
Hence: 1/4
Ask: Four letters picked without replacement from {m: 2, v: 3}. What is prob of sequence vmvm?
Hence: 1/10
Ask: What is prob of sequence vhh when three letters picked without replacement from {h: 2, v: 2, r: 1}?
Hence: 1/15
Ask: Calculate prob of sequence vg when two letters picked without replacement from gvqgggq.
Hence: 2/21
Ask: Four letters picked without replacement from {p: 3, q: 1, o: 1}. What is prob of sequence pqpp?
Hence: 1/20
Ask: What is prob of sequence wh when two letters picked without replacement from oowhhhohh?
Hence: 5/72
Ask: Calculate prob of sequence gg when two letters picked without replacement from {w: 1, n: 3, f: 8, i: 1, u: 5, g: 2}.
Hence: 1/190
Ask: Calculate prob of sequence at when two letters picked without replacement from {p: 1, t: 3, q: 2, c: 4, v: 2, a: 2}.
Hence: 3/91
Ask: Two letters picked without replacement from {n: 3, z: 1, q: 5, m: 1}. Give prob of sequence nm.
Hence: 1/30
Ask: Calculate prob of sequence dyy when three letters picked without replacement from dddddddyyy.
Hence: 7/120
Ask: Two letters picked without replacement from {h: 7, q: 1}. What is prob of sequence
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numbers: is prime
-----------------
Problem Statement: Is 2120933 a composite number?
Sol: False
Problem Statement: Is 238885 composite?
Sol: True
Problem Statement: Is 596653 a prime number?
Sol: True
Problem Statement: Is 175711676983 a prime number?
Sol: False
Problem Statement: Is 8402 prime?
Sol: False
Problem Statement: Is 622604851 a prime number?
Sol: False
Problem Statement: Is 9827 a prime number?
Sol: False
Problem Statement: Is 127987007 a composite number?
Sol: True
Problem Statement: Is 2405051 prime?
Sol: False
Problem Statement: Is 469919 a composite number?
Sol: False
Problem Statement: Is 1043 prime?
Sol: False
Problem Statement: Is 151576673 prime?
Sol: True
Problem Statement: Is 30684651 a composite number?
Sol: True
Problem Statement: Is 159863491 composite?
Sol: True
Problem Statement: Is 38783741459 prime?
Sol: True
Problem Statement: Is 606442883 composite?
Sol: True
Problem Statement: Is 34892509 prime?
Sol: True
Problem Statement: Is 3548008319 prime?
Sol: True
Problem Statement: Is 205286413 prime?
Sol: True
Problem Statement: Is 2830183 composite?
Sol: True
Problem Statement: Is 8964737 a composite number?
Sol: False
Problem Statement: Is 7451 a composite number?
Sol: False
Problem Statement: Is 103931203 a composite number?
Sol: False
Problem Statement: Is 6107 a prime number?
Sol: False
Problem Statement: Is 253171573 prime?
Sol: False
Problem Statement: Is 55015 composite?
Sol: True
Problem Statement: Is 273739159 composite?
Sol: False
Problem Statement: Is 4422577837 prime?
Sol: False
Problem Statement: Is 310334 composite?
Sol: True
Problem Statement: Is 1051438 a composite number?
Sol: True
Problem Statement: Is 1371810799 prime?
Sol: True
Problem Statement: Is 2574343 a prime number?
Sol: False
Problem Statement: Is 1779245197 a composite number?
Sol: True
Problem Statement: Is 1778899519 composite?
Sol: True
Problem Statement: Is 60165629 a composite number?
Sol: False
Problem Statement: Is 12474893 composite?
Sol: True
Problem St
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measurement: conversion
-----------------------
Problem Statement: Convert 5.14803 decades to millennia.
→: 0.0514803
Problem Statement: Convert 0.9272623 hours to minutes.
→: 55.635738
Problem Statement: How many kilograms are there in eleven quarters of a tonne?
→: 2750
Problem Statement: What is 9/10 of a tonne in kilograms?
→: 900
Problem Statement: What is 0.0753584 kilometers in nanometers?
→: 75358400000
Problem Statement: What is 1/5 of a kilometer in meters?
→: 200
Problem Statement: How many minutes are there in three sevenths of a week?
→: 4320
Problem Statement: What is 1/5 of a second in milliseconds?
→: 200
Problem Statement: How many litres are there in 99.93912ml?
→: 0.09993912
Problem Statement: What is 87.2818 millimeters in centimeters?
→: 8.72818
Problem Statement: How many seconds are there in 29.66693 weeks?
→: 17942559.264
Problem Statement: How many millilitres are there in twenty-one halves of a litre?
→: 10500
Problem Statement: How many milliseconds are there in 8242.095 weeks?
→: 4984819056000
Problem Statement: How many litres are there in 7801.431ml?
→: 7.801431
Problem Statement: What is eleven quarters of a milligram in micrograms?
→: 2750
Problem Statement: What is one quarter of a microsecond in nanoseconds?
→: 250
Problem Statement: How many hours are there in 25/4 of a week?
→: 1050
Problem Statement: What is thirteen eighths of a millennium in years?
→: 1625
Problem Statement: How many minutes are there in three sevenths of a week?
→: 4320
Problem Statement: How many kilograms are there in 27/4 of a tonne?
→: 6750
Problem Statement: How many months are there in 373007.2 decades?
→: 44760864
Problem Statement: How many minutes are there in 0.132688 weeks?
→: 1337.49504
Problem Statement: What is fourty-four fifths of a millimeter in micrometers?
→: 8800
Problem Statement: How many days are there in 181.5162 weeks?
→: 1270.6134
Problem Statement: What is 68/3 of a day in hours?
→: 544
Problem Statement: How many millimeters are the
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arithmetic: nearest integer root
--------------------------------
Example: What is 11963 to the power of 1/10, to the nearest integer?
A.: 3
Example: What is the cube root of 89398035 to the nearest integer?
A.: 447
Example: What is the cube root of 2357639 to the nearest integer?
A.: 133
Example: What is 745299353 to the power of 1/3, to the nearest integer?
A.: 907
Example: What is 60189 to the power of 1/8, to the nearest integer?
A.: 4
Example: What is the square root of 227 to the nearest integer?
A.: 15
Example: What is 3269271 to the power of 1/10, to the nearest integer?
A.: 4
Example: What is the seventh root of 648480284 to the nearest integer?
A.: 18
Example: What is the cube root of 4523620918 to the nearest integer?
A.: 1654
Example: What is 18069851 to the power of 1/8, to the nearest integer?
A.: 8
Example: What is the eighth root of 127571458 to the nearest integer?
A.: 10
Example: What is the square root of 1811443 to the nearest integer?
A.: 1346
Example: What is the fourth root of 4641291 to the nearest integer?
A.: 46
Example: What is 503175700 to the power of 1/3, to the nearest integer?
A.: 795
Example: What is 3990 to the power of 1/2, to the nearest integer?
A.: 63
Example: What is the cube root of 7527975 to the nearest integer?
A.: 196
Example: What is the ninth root of 2601429 to the nearest integer?
A.: 5
Example: What is the square root of 18562 to the nearest integer?
A.: 136
Example: What is 210948 to the power of 1/3, to the nearest integer?
A.: 60
Example: What is the fifth root of 199034 to the nearest integer?
A.: 11
Example: What is 44014 to the power of 1/2, to the nearest integer?
A.: 210
Example: What is the third root of 16290735 to the nearest integer?
A.: 254
Example: What is the ninth root of 78366 to the nearest integer?
A.: 3
Example: What is the square root of 848469667 to the nearest integer?
A.: 29129
Example: What is the eighth root of 30220 to the nearest integer?
A.: 4
Example: What is 1669 to the power of 1/2, to t
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numbers: is prime
-----------------
Example: Is 3906059 a prime number?
Outcome: True
Example: Is 1204388909 a prime number?
Outcome: True
Example: Is 134423353 a prime number?
Outcome: True
Example: Is 7114771321 prime?
Outcome: False
Example: Is 13354733 a prime number?
Outcome: False
Example: Is 154046 composite?
Outcome: True
Example: Is 18617 a prime number?
Outcome: True
Example: Is 5669 composite?
Outcome: False
Example: Is 391019 a composite number?
Outcome: False
Example: Is 146665627027 composite?
Outcome: True
Example: Is 73250579 a prime number?
Outcome: True
Example: Is 2434039523 composite?
Outcome: False
Example: Is 252976705 a prime number?
Outcome: False
Example: Is 1981457 prime?
Outcome: True
Example: Is 39709 a composite number?
Outcome: False
Example: Is 2053 composite?
Outcome: False
Example: Is 17551 a composite number?
Outcome: False
Example: Is 3387929 prime?
Outcome: False
Example: Is 7141633781 a composite number?
Outcome: False
Example: Is 32539 a prime number?
Outcome: False
Example: Is 5920455239 composite?
Outcome: False
Example: Is 614333 prime?
Outcome: True
Example: Is 9015323 a composite number?
Outcome: True
Example: Is 239119 prime?
Outcome: True
Example: Is 3643727 a prime number?
Outcome: False
Example: Is 187874 a prime number?
Outcome: False
Example: Is 126791243 a composite number?
Outcome: True
Example: Is 5603966567 a composite number?
Outcome: True
Example: Is 31307 a composite number?
Outcome: False
Example: Is 19896500441 composite?
Outcome: False
Example: Is 94307 prime?
Outcome: True
Example: Is 6098641 a prime number?
Outcome: False
Example: Is 10021 prime?
Outcome: False
Example: Is 6954113167 prime?
Outcome: False
Example: Is 164701 prime?
Outcome: True
Example: Is 39811029 composite?
Outcome: True
Example: Is 395236579 prime?
Outcome: True
Example: Is 5153515 a prime number?
Outcome: False
Example: Is 5021 composite?
Outcome: False
Example: Is 54602804303 a prime number?
Outcome: False
Example: Is 206459989 compos
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probability: swr p sequence
---------------------------
Inquiry: Four letters picked without replacement from sczccscszzccs. Give prob of sequence sszz.
Final Answer: 3/715
Inquiry: Four letters picked without replacement from {u: 2, e: 1, j: 4, k: 4, g: 9}. Give prob of sequence kuej.
Final Answer: 4/14535
Inquiry: Calculate prob of sequence ckc when three letters picked without replacement from {c: 5, k: 3, h: 9, p: 3}.
Final Answer: 1/114
Inquiry: Two letters picked without replacement from arrrarrrr. What is prob of sequence aa?
Final Answer: 1/36
Inquiry: Calculate prob of sequence ju when two letters picked without replacement from {f: 2, s: 1, j: 3, h: 3, i: 2, u: 4}.
Final Answer: 2/35
Inquiry: Three letters picked without replacement from {j: 6, n: 5, e: 5, x: 4}. Give prob of sequence xee.
Final Answer: 2/171
Inquiry: Three letters picked without replacement from osohhwxoshhhhxs. Give prob of sequence hhh.
Final Answer: 4/91
Inquiry: Two letters picked without replacement from {b: 4, a: 1, s: 5, i: 1, e: 1}. Give prob of sequence ss.
Final Answer: 5/33
Inquiry: Three letters picked without replacement from rhrehzhllhlerrrhlel. What is prob of sequence zrl?
Final Answer: 25/5814
Inquiry: Three letters picked without replacement from {v: 6}. Give prob of sequence vvv.
Final Answer: 1
Inquiry: Three letters picked without replacement from {h: 2, i: 2, l: 1, g: 2, p: 13}. Give prob of sequence hpp.
Final Answer: 13/285
Inquiry: Four letters picked without replacement from cptvvcpapccvpp. What is prob of sequence cact?
Final Answer: 1/2002
Inquiry: Calculate prob of sequence zmz when three letters picked without replacement from dzzdzmzzdezmezzmz.
Final Answer: 9/170
Inquiry: Calculate prob of sequence jwj when three letters picked without replacement from {j: 2, w: 1}.
Final Answer: 1/3
Inquiry: Four letters picked without replacement from {a: 3, v: 5}. Give prob of sequence avaa.
Final Answer: 1/56
Inquiry: Four letters picked without replacement from {g: 1,
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numbers: gcd
------------
Part A: What is the greatest common factor of 600 and 195800?
Solution: 200
Part A: What is the greatest common factor of 3243 and 207?
Solution: 69
Part A: What is the highest common divisor of 2 and 11?
Solution: 1
Part A: What is the greatest common factor of 1391 and 1335039?
Solution: 107
Part A: Calculate the highest common factor of 281 and 1.
Solution: 1
Part A: What is the highest common factor of 2989 and 86191?
Solution: 49
Part A: What is the greatest common factor of 679 and 21825?
Solution: 97
Part A: Calculate the greatest common factor of 231 and 118797.
Solution: 21
Part A: What is the greatest common factor of 4 and 1682?
Solution: 2
Part A: Calculate the highest common divisor of 1658345 and 39.
Solution: 13
Part A: What is the greatest common factor of 1698 and 880130?
Solution: 566
Part A: Calculate the greatest common factor of 56 and 917.
Solution: 7
Part A: Calculate the highest common factor of 1720 and 440.
Solution: 40
Part A: What is the highest common factor of 57 and 146947064?
Solution: 19
Part A: Calculate the highest common divisor of 93876 and 24.
Solution: 12
Part A: What is the greatest common divisor of 25 and 8?
Solution: 1
Part A: Calculate the greatest common factor of 24 and 252.
Solution: 12
Part A: Calculate the highest common divisor of 1731535 and 803335.
Solution: 1105
Part A: Calculate the highest common factor of 36 and 96.
Solution: 12
Part A: Calculate the greatest common divisor of 1940 and 22175170.
Solution: 970
Part A: What is the greatest common divisor of 30 and 1510?
Solution: 10
Part A: What is the greatest common factor of 53741 and 305?
Solution: 61
Part A: Calculate the highest common divisor of 111879 and 234453.
Solution: 93
Part A: Calculate the greatest common divisor of 54 and 26.
Solution: 2
Part A: What is the highest common factor of 7244585 and 1309445?
Solution: 1895
Part A: What is the highest common factor of 69 and 1127?
Solution: 23
Part A: Calculate the greatest com
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probability: swr p sequence
---------------------------
Subject: Three letters picked without replacement from {n: 6, v: 1, r: 1, q: 2, c: 3}. What is prob of sequence crn?
Interpretation: 3/286
Subject: Calculate prob of sequence zo when two letters picked without replacement from {o: 5, z: 7}.
Interpretation: 35/132
Subject: What is prob of sequence axx when three letters picked without replacement from fafafxdfddffxffadf?
Interpretation: 1/816
Subject: Three letters picked without replacement from fozfffrffyfzzfyffff. Give prob of sequence zfr.
Interpretation: 2/323
Subject: Three letters picked without replacement from {s: 3, t: 4, y: 8, o: 2, u: 2}. Give prob of sequence uou.
Interpretation: 2/2907
Subject: Calculate prob of sequence lw when two letters picked without replacement from wxwwlxwll.
Interpretation: 1/6
Subject: Three letters picked without replacement from {q: 3, a: 3, p: 1, t: 4, s: 6, n: 2}. What is prob of sequence qnp?
Interpretation: 1/969
Subject: Calculate prob of sequence ly when two letters picked without replacement from {s: 1, y: 1, l: 3}.
Interpretation: 3/20
Subject: Calculate prob of sequence cx when two letters picked without replacement from {h: 3, c: 1, q: 2, x: 4}.
Interpretation: 2/45
Subject: What is prob of sequence vvvv when four letters picked without replacement from {v: 5}?
Interpretation: 1
Subject: Calculate prob of sequence iil when three letters picked without replacement from llllilllllllliilllil.
Interpretation: 8/285
Subject: What is prob of sequence bbbp when four letters picked without replacement from bbpbbpbbbbb?
Interpretation: 7/55
Subject: Three letters picked without replacement from {c: 2, h: 2, a: 1}. What is prob of sequence chh?
Interpretation: 1/15
Subject: Calculate prob of sequence ttte when four letters picked without replacement from teeettttetett.
Interpretation: 14/143
Subject: Two letters picked without replacement from cctylycotnlo. What is prob of sequence ll?
Interpretation: 1/66
Subject: Calcu
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numbers: is factor
------------------
Topic: Does 32 divide 1109118?
Response: False
Topic: Does 71 divide 615144?
Response: True
Topic: Is 147 a factor of 12789?
Response: True
Topic: Does 10 divide 334931?
Response: False
Topic: Is 136 a multiple of 8?
Response: True
Topic: Does 452 divide 5527056?
Response: True
Topic: Does 6 divide 1577?
Response: False
Topic: Is 23855855 a multiple of 24?
Response: False
Topic: Does 39 divide 671?
Response: False
Topic: Is 65126846 a multiple of 1426?
Response: True
Topic: Does 57 divide 326886564?
Response: True
Topic: Is 5 a factor of 18462?
Response: False
Topic: Is 7 a factor of 63343?
Response: True
Topic: Does 4 divide 2687?
Response: False
Topic: Is 44 a factor of 475066347?
Response: False
Topic: Is 1510274820 a multiple of 305?
Response: False
Topic: Is 102 a factor of 62832?
Response: True
Topic: Does 4 divide 47804690?
Response: False
Topic: Is 53 a factor of 3995987179?
Response: False
Topic: Is 13 a factor of 1896037?
Response: True
Topic: Does 2067 divide 3964506?
Response: True
Topic: Is 237 a factor of 186558?
Response: False
Topic: Does 146 divide 98404?
Response: True
Topic: Does 650 divide 193798820?
Response: False
Topic: Does 27 divide 79313769?
Response: True
Topic: Is 2257789565 a multiple of 283?
Response: True
Topic: Does 108 divide 40229?
Response: False
Topic: Is 177 a multiple of 8?
Response: False
Topic: Is 9 a factor of 376?
Response: False
Topic: Is 6 a factor of 3880?
Response: False
Topic: Does 16 divide 27247706?
Response: False
Topic: Is 45520244 a multiple of 44?
Response: True
Topic: Is 3139560 a multiple of 36?
Response: True
Topic: Does 20 divide 581?
Response: False
Topic: Is 2541 a factor of 228776394?
Response: True
Topic: Is 375724416 a multiple of 40?
Response: False
Topic: Is 117979317 a multiple of 9?
Response: True
Topic: Does 6 divide 1752?
Response: True
Topic: Does 661 divide 593578?
Response: True
Topic: Is 11672768 a multiple of 2?
Response: True
Topic: Is 103394 a multiple of
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probability: swr p sequence
---------------------------
Inquiry: Four letters picked without replacement from {k: 16, o: 2}. Give prob of sequence koko.
A: 1/153
Inquiry: Calculate prob of sequence nid when three letters picked without replacement from {i: 3, d: 2, n: 4}.
A: 1/21
Inquiry: What is prob of sequence ehe when three letters picked without replacement from {h: 14, e: 5}?
A: 140/2907
Inquiry: What is prob of sequence xp when two letters picked without replacement from {p: 2, b: 4, x: 7}?
A: 7/78
Inquiry: Four letters picked without replacement from ssqqqsssqs. Give prob of sequence sqsq.
A: 1/14
Inquiry: Three letters picked without replacement from {x: 1, l: 1, d: 8, q: 5, h: 2}. Give prob of sequence qxd.
A: 1/102
Inquiry: Four letters picked without replacement from {i: 5}. Give prob of sequence iiii.
A: 1
Inquiry: Four letters picked without replacement from ffxoyxnxffxfffoyoo. What is prob of sequence fnfx?
A: 7/3060
Inquiry: What is prob of sequence vfoj when four letters picked without replacement from ffvvjof?
A: 1/140
Inquiry: What is prob of sequence ttte when four letters picked without replacement from {t: 7, e: 9}?
A: 9/208
Inquiry: Four letters picked without replacement from yyswwsyywywwwwywysw. What is prob of sequence wsws?
A: 3/646
Inquiry: What is prob of sequence jjj when three letters picked without replacement from {v: 3, j: 8}?
A: 56/165
Inquiry: What is prob of sequence gjlj when four letters picked without replacement from {n: 3, j: 7, g: 4, l: 5}?
A: 35/3876
Inquiry: Two letters picked without replacement from {k: 1, q: 3, c: 1, h: 4, s: 3, a: 3}. What is prob of sequence qs?
A: 3/70
Inquiry: Three letters picked without replacement from {r: 1, p: 2, c: 2, w: 1, u: 1}. Give prob of sequence rwu.
A: 1/210
Inquiry: Three letters picked without replacement from {s: 3, n: 2}. Give prob of sequence ssn.
A: 1/5
Inquiry: Calculate prob of sequence hcc when three letters picked without replacement from chcphhhphc.
A: 1/24
Inquiry: Four le
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probability: swr p sequence
---------------------------
Task: What is prob of sequence psps when four letters picked without replacement from ssspssppspppppppppp?
Result: 65/1292
Task: What is prob of sequence fff when three letters picked without replacement from fccfcfcc?
Result: 1/56
Task: Three letters picked without replacement from {h: 2, d: 3, s: 3}. Give prob of sequence hds.
Result: 3/56
Task: Three letters picked without replacement from {w: 6, o: 4, d: 7}. What is prob of sequence ddo?
Result: 7/170
Task: Calculate prob of sequence lfff when four letters picked without replacement from ffffffffflfflfffffff.
Result: 8/95
Task: Three letters picked without replacement from kssskds. What is prob of sequence skk?
Result: 4/105
Task: What is prob of sequence sos when three letters picked without replacement from {s: 3, f: 1, n: 1, u: 2, o: 4}?
Result: 4/165
Task: Calculate prob of sequence plpl when four letters picked without replacement from hxplpppxhxlp.
Result: 1/297
Task: Calculate prob of sequence jj when two letters picked without replacement from djdjdjjjdj.
Result: 1/3
Task: Calculate prob of sequence zi when two letters picked without replacement from {i: 1, z: 1, a: 3}.
Result: 1/20
Task: What is prob of sequence kkkh when four letters picked without replacement from khhkhhhhhkk?
Result: 7/330
Task: Two letters picked without replacement from {j: 1, g: 12}. Give prob of sequence jg.
Result: 1/13
Task: Two letters picked without replacement from {x: 1, n: 1, v: 1, i: 1, u: 2, e: 1}. Give prob of sequence ie.
Result: 1/42
Task: Calculate prob of sequence bbtc when four letters picked without replacement from oobqbtcc.
Result: 1/420
Task: Calculate prob of sequence iqqn when four letters picked without replacement from nnininqiqnqnqiiinrni.
Result: 28/4845
Task: Four letters picked without replacement from {p: 2, x: 18}. What is prob of sequence xxpx?
Result: 8/95
Task: Calculate prob of sequence eez when three letters picked without replacement from z
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probability: swr p level set
----------------------------
Qn: Two letters picked without replacement from hhtvhyddvhd. Give prob of picking 1 d and 1 y.
A: 3/55
Qn: What is prob of picking 2 p when two letters picked without replacement from avgevapaevepav?
A: 1/91
Qn: Two letters picked without replacement from {v: 1, t: 1, r: 3, y: 1, i: 1}. What is prob of picking 1 v and 1 i?
A: 1/21
Qn: Calculate prob of picking 2 e and 2 b when four letters picked without replacement from ggebgebbbebebb.
A: 18/143
Qn: Three letters picked without replacement from {l: 2, q: 4, b: 1, t: 1, i: 1}. Give prob of picking 1 q, 1 l, and 1 b.
A: 2/21
Qn: Calculate prob of picking 2 x when two letters picked without replacement from {x: 5, a: 4, r: 1}.
A: 2/9
Qn: Two letters picked without replacement from {t: 2, n: 1, i: 2, d: 1, e: 2, c: 1}. Give prob of picking 1 d and 1 t.
A: 1/18
Qn: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {k: 1, j: 2, c: 4}.
A: 8/21
Qn: Four letters picked without replacement from {j: 2, u: 1, p: 4, k: 6}. What is prob of picking 2 j and 2 p?
A: 6/715
Qn: Calculate prob of picking 2 h and 2 j when four letters picked without replacement from {h: 3, j: 17}.
A: 8/95
Qn: What is prob of picking 1 e and 1 i when two letters picked without replacement from gexgllilgkle?
A: 1/33
Qn: Four letters picked without replacement from {q: 2, o: 4, f: 1}. What is prob of picking 3 o and 1 q?
A: 8/35
Qn: Two letters picked without replacement from rcrqpok. Give prob of picking 1 q and 1 p.
A: 1/21
Qn: Calculate prob of picking 1 v, 1 u, and 1 z when three letters picked without replacement from vuuxxxvzzvzzxzvxv.
A: 5/68
Qn: What is prob of picking 2 n when two letters picked without replacement from nnnnnnnnnrnnnnnnnrn?
A: 136/171
Qn: What is prob of picking 2 l and 1 e when three letters picked without replacement from {l: 2, e: 4, c: 4}?
A: 1/30
Qn: Four letters picked without replacement from {m: 8, f: 5, z: 1, t: 3, k: 2}. Give
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probability: swr p level set
----------------------------
Ask: What is prob of picking 2 y and 1 s when three letters picked without replacement from ysnhcywn?
Answer: 1/56
Ask: Three letters picked without replacement from {r: 3, e: 7, n: 2}. What is prob of picking 2 n and 1 r?
Answer: 3/220
Ask: Calculate prob of picking 2 m when two letters picked without replacement from {j: 1, y: 1, f: 1, m: 3, v: 2, o: 4}.
Answer: 1/22
Ask: Three letters picked without replacement from rlllrllr. Give prob of picking 3 r.
Answer: 1/56
Ask: Calculate prob of picking 2 m when two letters picked without replacement from koakmkmmmkcazmmk.
Answer: 1/8
Ask: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {k: 1, e: 13, g: 1, r: 1, s: 1, m: 1}.
Answer: 1/153
Ask: What is prob of picking 1 g and 1 f when two letters picked without replacement from {n: 2, g: 2, f: 2, e: 2}?
Answer: 1/7
Ask: Three letters picked without replacement from gggggkgkgkg. Give prob of picking 2 k and 1 g.
Answer: 8/55
Ask: Three letters picked without replacement from {l: 6, q: 4}. Give prob of picking 1 l and 2 q.
Answer: 3/10
Ask: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from lllllhjjll.
Answer: 7/40
Ask: Four letters picked without replacement from {n: 4, s: 5, g: 2}. What is prob of picking 2 s and 2 g?
Answer: 1/33
Ask: Calculate prob of picking 3 l and 1 p when four letters picked without replacement from lllllplppl.
Answer: 1/2
Ask: Calculate prob of picking 2 n and 1 z when three letters picked without replacement from hhhnhznzzznhhhn.
Answer: 24/455
Ask: Calculate prob of picking 2 r and 2 a when four letters picked without replacement from ararrrrararrrrrrar.
Answer: 13/51
Ask: Four letters picked without replacement from hisihknnhshihsnnkk. Give prob of picking 3 n and 1 h.
Answer: 1/153
Ask: Two letters picked without replacement from {p: 4, c: 5, s: 6}. Give prob of picking 2 p.
Answer: 2/35
Ask: Three letters picked
|
english
|
numbers: place value
--------------------
Math Problem: What is the tens digit of 776730?
Response: 3
Math Problem: What is the hundred thousands digit of 1559631209?
Response: 6
Math Problem: What is the millions digit of 53422668?
Response: 3
Math Problem: What is the thousands digit of 16283687?
Response: 3
Math Problem: What is the hundreds digit of 113648583?
Response: 5
Math Problem: What is the ten thousands digit of 51952105?
Response: 5
Math Problem: What is the tens digit of 2730832548?
Response: 4
Math Problem: What is the units digit of 207?
Response: 7
Math Problem: What is the units digit of 953?
Response: 3
Math Problem: What is the units digit of 3881?
Response: 1
Math Problem: What is the hundred thousands digit of 139679243?
Response: 6
Math Problem: What is the ten thousands digit of 204803151?
Response: 0
Math Problem: What is the thousands digit of 31874?
Response: 1
Math Problem: What is the units digit of 133143?
Response: 3
Math Problem: What is the units digit of 6716664?
Response: 4
Math Problem: What is the thousands digit of 18547893?
Response: 7
Math Problem: What is the tens digit of 2832532675?
Response: 7
Math Problem: What is the units digit of 243532?
Response: 2
Math Problem: What is the hundreds digit of 35198?
Response: 1
Math Problem: What is the hundred thousands digit of 12789734?
Response: 7
Math Problem: What is the ten thousands digit of 48736?
Response: 4
Math Problem: What is the hundreds digit of 2459?
Response: 4
Math Problem: What is the tens digit of 72653?
Response: 5
Math Problem: What is the tens digit of 207974123?
Response: 2
Math Problem: What is the units digit of 1901?
Response: 1
Math Problem: What is the thousands digit of 263181517?
Response: 1
Math Problem: What is the ten millions digit of 1989563815?
Response: 8
Math Problem: What is the ten thousands digit of 4602047806?
Response: 4
Math Problem: What is the thousands digit of 3705340?
Response: 5
Math Problem: What is the thousands digit of 6007395?
Re
|
english
|
numbers: place value
--------------------
Ask: What is the thousands digit of 2949?
Solution: 2
Ask: What is the ten thousands digit of 295406?
Solution: 9
Ask: What is the tens digit of 844538?
Solution: 3
Ask: What is the units digit of 144612048?
Solution: 8
Ask: What is the tens digit of 599?
Solution: 9
Ask: What is the tens digit of 7853?
Solution: 5
Ask: What is the hundreds digit of 288240772?
Solution: 7
Ask: What is the millions digit of 20638734?
Solution: 0
Ask: What is the units digit of 54727278?
Solution: 8
Ask: What is the ten thousands digit of 28923?
Solution: 2
Ask: What is the tens digit of 711?
Solution: 1
Ask: What is the tens digit of 68418?
Solution: 1
Ask: What is the thousands digit of 1924?
Solution: 1
Ask: What is the hundreds digit of 49110?
Solution: 1
Ask: What is the thousands digit of 11601?
Solution: 1
Ask: What is the tens digit of 67949380?
Solution: 8
Ask: What is the hundred thousands digit of 8597422?
Solution: 5
Ask: What is the millions digit of 11876874?
Solution: 1
Ask: What is the thousands digit of 43953?
Solution: 3
Ask: What is the ten thousands digit of 413274809?
Solution: 7
Ask: What is the millions digit of 974032660?
Solution: 4
Ask: What is the hundreds digit of 160566785?
Solution: 7
Ask: What is the hundred thousands digit of 47813744?
Solution: 8
Ask: What is the ten thousands digit of 512889058?
Solution: 8
Ask: What is the millions digit of 18225109?
Solution: 8
Ask: What is the hundred millions digit of 2175383789?
Solution: 1
Ask: What is the hundreds digit of 39600?
Solution: 6
Ask: What is the thousands digit of 7903?
Solution: 7
Ask: What is the thousands digit of 6704?
Solution: 6
Ask: What is the tens digit of 673293340?
Solution: 4
Ask: What is the hundreds digit of 786?
Solution: 7
Ask: What is the units digit of 11064?
Solution: 4
Ask: What is the tens digit of 8748892?
Solution: 9
Ask: What is the units digit of 528839?
Solution: 9
Ask: What is the hundred thousands digit of 2696013?
Solution: 6
As
|
english
|
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