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stringlengths 256
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probability: swr p sequence
---------------------------
Q=: Two letters picked without replacement from kkkkkkkkk. Give prob of sequence kk.
Outcome: 1
Q=: Four letters picked without replacement from acbbaabbaacfbbblba. Give prob of sequence fccl.
Outcome: 1/36720
Q=: What is prob of sequence giu when three letters picked without replacement from {p: 3, u: 5, b: 3, s: 3, i: 3, g: 1}?
Outcome: 5/1632
Q=: Calculate prob of sequence dddi when four letters picked without replacement from {d: 4, b: 3, i: 4, h: 3}.
Outcome: 4/1001
Q=: What is prob of sequence vbbb when four letters picked without replacement from vddbvvvbb?
Outcome: 1/126
Q=: Two letters picked without replacement from uuvquuunqqmuu. What is prob of sequence vu?
Outcome: 7/156
Q=: Four letters picked without replacement from {k: 16, p: 4}. What is prob of sequence pppp?
Outcome: 1/4845
Q=: Three letters picked without replacement from ssessesseesezsess. What is prob of sequence ses?
Outcome: 9/68
Q=: Calculate prob of sequence ek when two letters picked without replacement from kkkkekrnkkkkkr.
Outcome: 5/91
Q=: Calculate prob of sequence ww when two letters picked without replacement from bbwbbbwbbb.
Outcome: 1/45
Q=: Three letters picked without replacement from {a: 2, s: 1, w: 4, c: 2, t: 4, q: 7}. What is prob of sequence wws?
Outcome: 1/570
Q=: What is prob of sequence mz when two letters picked without replacement from kkkkmmmzkkkkkzmzkkkk?
Outcome: 3/95
Q=: What is prob of sequence od when two letters picked without replacement from {o: 1, b: 1, d: 1, y: 1, p: 1}?
Outcome: 1/20
Q=: Three letters picked without replacement from tdtqddttdddddddq. What is prob of sequence dqd?
Outcome: 3/56
Q=: What is prob of sequence ooc when three letters picked without replacement from {o: 3, c: 2, i: 1, z: 6}?
Outcome: 1/110
Q=: Calculate prob of sequence uu when two letters picked without replacement from uuuauuuuauu.
Outcome: 36/55
Q=: Two letters picked without replacement from ddxddxd. What is prob of sequenc
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english
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measurement: time
-----------------
What if: How many minutes are there between 6:17 AM and 8:04 AM?
Final Answer: 107
What if: How many minutes are there between 9:46 AM and 6:45 PM?
Final Answer: 539
What if: What is 185 minutes after 1:53 AM?
Final Answer: 4:58 AM
What if: How many minutes are there between 2:34 AM and 5:21 AM?
Final Answer: 167
What if: How many minutes are there between 3:18 AM and 1:59 PM?
Final Answer: 641
What if: How many minutes are there between 2:17 PM and 11:41 PM?
Final Answer: 564
What if: How many minutes are there between 7:45 AM and 8:41 AM?
Final Answer: 56
What if: How many minutes are there between 11:31 PM and 1:09 AM?
Final Answer: 98
What if: What is 605 minutes after 12:13 AM?
Final Answer: 10:18 AM
What if: What is 660 minutes after 8:33 PM?
Final Answer: 7:33 AM
What if: How many minutes are there between 5:05 PM and 7:50 PM?
Final Answer: 165
What if: What is 639 minutes before 2:42 PM?
Final Answer: 4:03 AM
What if: What is 532 minutes before 10:23 PM?
Final Answer: 1:31 PM
What if: What is 139 minutes before 12:27 PM?
Final Answer: 10:08 AM
What if: What is 104 minutes before 6:46 AM?
Final Answer: 5:02 AM
What if: How many minutes are there between 3:41 AM and 10:35 AM?
Final Answer: 414
What if: How many minutes are there between 8:57 PM and 6:48 AM?
Final Answer: 591
What if: How many minutes are there between 2:11 AM and 3:11 AM?
Final Answer: 60
What if: How many minutes are there between 3:58 PM and 5:29 PM?
Final Answer: 91
What if: How many minutes are there between 12:17 AM and 2:17 AM?
Final Answer: 120
What if: How many minutes are there between 12:53 PM and 7:57 PM?
Final Answer: 424
What if: How many minutes are there between 7:51 AM and 11:05 AM?
Final Answer: 194
What if: What is 244 minutes before 8:34 PM?
Final Answer: 4:30 PM
What if: What is 595 minutes after 10:59 AM?
Final Answer: 8:54 PM
What if: How many minutes are there between 8:44 AM and 2:57 PM?
Final Answer: 373
What if: What is 291 minutes
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english
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numbers: place value
--------------------
Task: What is the units digit of 1478072464?
Explanation: 4
Task: What is the hundreds digit of 2262?
Explanation: 2
Task: What is the tens digit of 48487?
Explanation: 8
Task: What is the units digit of 11694804?
Explanation: 4
Task: What is the millions digit of 62604617?
Explanation: 2
Task: What is the units digit of 53392036?
Explanation: 6
Task: What is the thousands digit of 13003567?
Explanation: 3
Task: What is the hundreds digit of 195744?
Explanation: 7
Task: What is the thousands digit of 67140?
Explanation: 7
Task: What is the units digit of 1488538?
Explanation: 8
Task: What is the ten thousands digit of 21343?
Explanation: 2
Task: What is the thousands digit of 3502393?
Explanation: 2
Task: What is the tens digit of 251148?
Explanation: 4
Task: What is the tens digit of 4035?
Explanation: 3
Task: What is the tens digit of 635535?
Explanation: 3
Task: What is the ten thousands digit of 254462?
Explanation: 5
Task: What is the tens digit of 859627?
Explanation: 2
Task: What is the millions digit of 172982430?
Explanation: 2
Task: What is the ten thousands digit of 743909746?
Explanation: 0
Task: What is the hundreds digit of 35585886?
Explanation: 8
Task: What is the hundreds digit of 20709?
Explanation: 7
Task: What is the units digit of 15533754?
Explanation: 4
Task: What is the ten thousands digit of 101580062?
Explanation: 8
Task: What is the ten thousands digit of 357416?
Explanation: 5
Task: What is the hundreds digit of 170698?
Explanation: 6
Task: What is the millions digit of 2615884?
Explanation: 2
Task: What is the ten thousands digit of 5413016?
Explanation: 1
Task: What is the hundreds digit of 2215?
Explanation: 2
Task: What is the ten thousands digit of 1506537?
Explanation: 0
Task: What is the ten millions digit of 10012400?
Explanation: 1
Task: What is the units digit of 9815896?
Explanation: 6
Task: What is the thousands digit of 1681?
Explanation: 1
Task: What is the units digit of 404?
Explan
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english
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numbers: is factor
------------------
Part A: Is 4359 a factor of 1647820423?
Calculation: False
Part A: Is 20 a factor of 800?
Calculation: True
Part A: Is 55 a factor of 533335?
Calculation: True
Part A: Is 4558 a multiple of 81?
Calculation: False
Part A: Is 1488100 a multiple of 141?
Calculation: False
Part A: Does 13 divide 26845?
Calculation: True
Part A: Is 125 a factor of 20739?
Calculation: False
Part A: Is 56 a factor of 5956?
Calculation: False
Part A: Is 390573580 a multiple of 2?
Calculation: True
Part A: Does 13 divide 14213107?
Calculation: False
Part A: Does 42 divide 8696?
Calculation: False
Part A: Is 153 a factor of 179575?
Calculation: False
Part A: Does 49 divide 2303?
Calculation: True
Part A: Is 72 a multiple of 9?
Calculation: True
Part A: Does 79 divide 6750?
Calculation: False
Part A: Is 8109 a multiple of 18?
Calculation: False
Part A: Is 179 a factor of 173272?
Calculation: True
Part A: Is 14 a factor of 160297?
Calculation: False
Part A: Is 1017 a factor of 163255302?
Calculation: False
Part A: Is 61544 a multiple of 98?
Calculation: True
Part A: Is 6 a factor of 1487?
Calculation: False
Part A: Is 8 a factor of 371799?
Calculation: False
Part A: Is 71 a factor of 41315965?
Calculation: True
Part A: Is 10 a factor of 11080?
Calculation: True
Part A: Is 4599710 a multiple of 10?
Calculation: True
Part A: Is 120 a factor of 1411440?
Calculation: True
Part A: Is 761376 a multiple of 672?
Calculation: True
Part A: Does 47 divide 1459?
Calculation: False
Part A: Is 21 a factor of 1137864?
Calculation: True
Part A: Is 187892 a multiple of 4?
Calculation: True
Part A: Does 113 divide 24965?
Calculation: False
Part A: Is 120819 a multiple of 3?
Calculation: True
Part A: Is 5802329568 a multiple of 12?
Calculation: True
Part A: Does 50 divide 8715?
Calculation: False
Part A: Does 6 divide 1424?
Calculation: False
Part A: Is 2120 a factor of 272877920?
Calculation: True
Part A: Is 106099391 a multiple of 2077?
Calculation: True
Part A: Is 15468492
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english
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measurement: conversion
-----------------------
Situation: What is 451.726ng in micrograms?
Ans: 0.451726
Situation: What is 55.98584 microseconds in milliseconds?
Ans: 0.05598584
Situation: What is one fifth of a minute in milliseconds?
Ans: 12000
Situation: How many years are there in fifty-one fifths of a decade?
Ans: 102
Situation: What is 672007.9 nanometers in millimeters?
Ans: 0.6720079
Situation: What is 4.79006 minutes in seconds?
Ans: 287.4036
Situation: How many millilitres are there in 710350.5 litres?
Ans: 710350500
Situation: What is 0.9128231 litres in millilitres?
Ans: 912.8231
Situation: How many centuries are there in 482.5733 decades?
Ans: 48.25733
Situation: What is 21/8 of a gram in milligrams?
Ans: 2625
Situation: How many months are there in five quarters of a millennium?
Ans: 15000
Situation: Convert 938429.9um to nanometers.
Ans: 938429900
Situation: What is 3/40 of a kilogram in grams?
Ans: 75
Situation: Convert 301.9202kg to milligrams.
Ans: 301920200
Situation: What is 21/4 of a microgram in nanograms?
Ans: 5250
Situation: How many minutes are there in one twentieth of a day?
Ans: 72
Situation: How many grams are there in three fifths of a kilogram?
Ans: 600
Situation: How many microseconds are there in 0.7818663 days?
Ans: 67553248320
Situation: What is 17/2 of a microgram in nanograms?
Ans: 8500
Situation: How many years are there in thirty-seven halves of a millennium?
Ans: 18500
Situation: How many millilitres are there in seven halves of a litre?
Ans: 3500
Situation: How many minutes are there in 3/5 of a week?
Ans: 6048
Situation: What is 5/4 of a meter in centimeters?
Ans: 125
Situation: What is fifty-nine fifths of a century in decades?
Ans: 118
Situation: What is fifty-seven fifths of a hour in seconds?
Ans: 41040
Situation: What is 119.215km in nanometers?
Ans: 119215000000000
Situation: What is 22.46752 litres in millilitres?
Ans: 22467.52
Situation: Convert 80.01958ml to litres.
Ans: 0.08001958
Situation: What is 5.829774 cent
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english
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numbers: gcd
------------
What if: What is the highest common factor of 19534267 and 34464?
Explanation: 359
What if: What is the highest common divisor of 2420 and 1820?
Explanation: 20
What if: What is the highest common factor of 5411556 and 9523?
Explanation: 89
What if: Calculate the highest common divisor of 78 and 2535.
Explanation: 39
What if: Calculate the greatest common factor of 12759984 and 24624.
Explanation: 432
What if: What is the highest common factor of 690 and 8651910?
Explanation: 690
What if: What is the highest common factor of 4 and 616732?
Explanation: 4
What if: What is the greatest common factor of 10 and 8770?
Explanation: 10
What if: Calculate the highest common divisor of 2320 and 725.
Explanation: 145
What if: What is the highest common divisor of 2129485 and 160?
Explanation: 5
What if: Calculate the highest common factor of 13 and 247.
Explanation: 13
What if: Calculate the greatest common factor of 63 and 40110.
Explanation: 21
What if: Calculate the greatest common divisor of 300 and 10050.
Explanation: 150
What if: What is the highest common divisor of 28668 and 396?
Explanation: 12
What if: Calculate the greatest common factor of 65 and 13.
Explanation: 13
What if: What is the greatest common factor of 23286 and 6?
Explanation: 6
What if: What is the greatest common factor of 1727 and 583?
Explanation: 11
What if: Calculate the greatest common divisor of 1984 and 4255432.
Explanation: 248
What if: Calculate the highest common divisor of 252311 and 142668.
Explanation: 1321
What if: Calculate the highest common factor of 5921769 and 2142.
Explanation: 21
What if: Calculate the highest common factor of 4827095 and 103.
Explanation: 103
What if: What is the highest common divisor of 115 and 26110?
Explanation: 5
What if: What is the greatest common factor of 12 and 204?
Explanation: 12
What if: Calculate the greatest common divisor of 20 and 8524.
Explanation: 4
What if: What is the highest common factor of 9067048 and 512?
Explanat
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english
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numbers: is prime
-----------------
Puzzle: Is 16941658 a composite number?
Reply: True
Puzzle: Is 13367 a composite number?
Reply: False
Puzzle: Is 14281 composite?
Reply: False
Puzzle: Is 168175069 prime?
Reply: True
Puzzle: Is 19635437 a prime number?
Reply: False
Puzzle: Is 67189861 a composite number?
Reply: False
Puzzle: Is 2561 a prime number?
Reply: False
Puzzle: Is 799486327 a composite number?
Reply: True
Puzzle: Is 8806223 a prime number?
Reply: False
Puzzle: Is 30947783 composite?
Reply: False
Puzzle: Is 5878977521 composite?
Reply: True
Puzzle: Is 62955422597 prime?
Reply: True
Puzzle: Is 11580185 a composite number?
Reply: True
Puzzle: Is 18871 a composite number?
Reply: True
Puzzle: Is 1537 prime?
Reply: False
Puzzle: Is 445718006 prime?
Reply: False
Puzzle: Is 959323 a composite number?
Reply: False
Puzzle: Is 17743107 a composite number?
Reply: True
Puzzle: Is 26102604313 composite?
Reply: True
Puzzle: Is 27708053 a composite number?
Reply: False
Puzzle: Is 7358937643 a prime number?
Reply: False
Puzzle: Is 37894 a composite number?
Reply: True
Puzzle: Is 14479 composite?
Reply: False
Puzzle: Is 1093408543 a prime number?
Reply: False
Puzzle: Is 7599788983 composite?
Reply: False
Puzzle: Is 2078873803 prime?
Reply: True
Puzzle: Is 26377451 composite?
Reply: False
Puzzle: Is 35894052617 a composite number?
Reply: False
Puzzle: Is 196379 prime?
Reply: True
Puzzle: Is 5470811 prime?
Reply: True
Puzzle: Is 5919 a composite number?
Reply: True
Puzzle: Is 23789 composite?
Reply: False
Puzzle: Is 13809 prime?
Reply: False
Puzzle: Is 15976320247 a prime number?
Reply: False
Puzzle: Is 1567 prime?
Reply: True
Puzzle: Is 2773416251 composite?
Reply: False
Puzzle: Is 37564043 a composite number?
Reply: True
Puzzle: Is 127117703 composite?
Reply: False
Puzzle: Is 2203 prime?
Reply: True
Puzzle: Is 2870954 a composite number?
Reply: True
Puzzle: Is 1686191 a composite number?
Reply: True
Puzzle: Is 128487 composite?
Reply: True
Puzzle: Is 114023029591 a composit
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english
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numbers: gcd
------------
Part A: What is the highest common divisor of 187083 and 123?
Conclusion: 123
Part A: What is the greatest common divisor of 486878 and 166747?
Conclusion: 581
Part A: What is the highest common factor of 627219 and 2331?
Conclusion: 9
Part A: What is the highest common factor of 845 and 5?
Conclusion: 5
Part A: What is the highest common divisor of 1338 and 4446?
Conclusion: 6
Part A: What is the greatest common divisor of 752 and 6368?
Conclusion: 16
Part A: What is the highest common divisor of 36 and 45954?
Conclusion: 18
Part A: Calculate the greatest common factor of 216 and 16.
Conclusion: 8
Part A: What is the highest common divisor of 25596 and 316?
Conclusion: 316
Part A: What is the highest common factor of 143568 and 1524816?
Conclusion: 144
Part A: Calculate the highest common divisor of 48 and 17616.
Conclusion: 48
Part A: What is the greatest common divisor of 7 and 6839?
Conclusion: 7
Part A: Calculate the greatest common factor of 85519844 and 12352.
Conclusion: 772
Part A: Calculate the highest common factor of 7548 and 60.
Conclusion: 12
Part A: What is the highest common factor of 918 and 702?
Conclusion: 54
Part A: Calculate the highest common divisor of 95235983 and 69725.
Conclusion: 2789
Part A: Calculate the highest common divisor of 69 and 5037.
Conclusion: 69
Part A: What is the greatest common divisor of 175612754 and 34?
Conclusion: 34
Part A: What is the greatest common divisor of 22 and 8162?
Conclusion: 22
Part A: Calculate the greatest common factor of 1521999 and 45.
Conclusion: 9
Part A: Calculate the highest common factor of 76 and 2869.
Conclusion: 19
Part A: Calculate the greatest common divisor of 996333 and 69738.
Conclusion: 177
Part A: What is the highest common divisor of 2 and 50?
Conclusion: 2
Part A: What is the highest common factor of 92 and 4?
Conclusion: 4
Part A: What is the highest common divisor of 1527319 and 577?
Conclusion: 577
Part A: What is the highest common divisor of 33557 and 39
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english
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numbers: is prime
-----------------
Prompt: Is 521333 prime?
Response: False
Prompt: Is 78691 prime?
Response: True
Prompt: Is 659047 a composite number?
Response: False
Prompt: Is 45831549 a prime number?
Response: False
Prompt: Is 256460837 prime?
Response: False
Prompt: Is 16596893 prime?
Response: True
Prompt: Is 3379995673 prime?
Response: False
Prompt: Is 7649490169 prime?
Response: True
Prompt: Is 35051 a composite number?
Response: False
Prompt: Is 1022073571 a prime number?
Response: False
Prompt: Is 1559 a composite number?
Response: False
Prompt: Is 67661 composite?
Response: True
Prompt: Is 3136364711 prime?
Response: False
Prompt: Is 109 composite?
Response: False
Prompt: Is 699207 prime?
Response: False
Prompt: Is 578719 a prime number?
Response: True
Prompt: Is 12679 composite?
Response: True
Prompt: Is 3748223 prime?
Response: False
Prompt: Is 29368923799 composite?
Response: False
Prompt: Is 1474219 composite?
Response: True
Prompt: Is 4055598185 composite?
Response: True
Prompt: Is 13640819791 a composite number?
Response: False
Prompt: Is 27539 a composite number?
Response: False
Prompt: Is 6024009 a prime number?
Response: False
Prompt: Is 454889 prime?
Response: True
Prompt: Is 34146580187 prime?
Response: True
Prompt: Is 537665911 composite?
Response: False
Prompt: Is 1065299 a composite number?
Response: True
Prompt: Is 1976290739 a prime number?
Response: False
Prompt: Is 45992173 composite?
Response: True
Prompt: Is 29375618045 a composite number?
Response: True
Prompt: Is 70039 prime?
Response: True
Prompt: Is 76883 composite?
Response: False
Prompt: Is 74687 prime?
Response: True
Prompt: Is 322541833 prime?
Response: False
Prompt: Is 9593079451 composite?
Response: True
Prompt: Is 30460046849 a composite number?
Response: True
Prompt: Is 37852523645 prime?
Response: False
Prompt: Is 884605 prime?
Response: False
Prompt: Is 2043091 a prime number?
Response: True
Prompt: Is 35473957 a composite number?
Response: False
Prompt: Is 2429617 a co
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english
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probability: swr p sequence
---------------------------
Problem #: Two letters picked without replacement from {b: 17, r: 1}. What is prob of sequence bb?
Interpretation: 8/9
Problem #: Calculate prob of sequence qc when two letters picked without replacement from cccqcccqc.
Interpretation: 7/36
Problem #: Three letters picked without replacement from {v: 9, x: 2, f: 6}. What is prob of sequence vfv?
Interpretation: 9/85
Problem #: What is prob of sequence mmu when three letters picked without replacement from mmmmmmmmmummmmm?
Interpretation: 1/15
Problem #: Four letters picked without replacement from vbcvbnnenevcbc. What is prob of sequence nvcn?
Interpretation: 9/4004
Problem #: Calculate prob of sequence ihii when four letters picked without replacement from iiiiihiiiihi.
Interpretation: 4/33
Problem #: What is prob of sequence uuaa when four letters picked without replacement from {a: 12, u: 3}?
Interpretation: 11/455
Problem #: Two letters picked without replacement from lccclscslglccscssl. Give prob of sequence ss.
Interpretation: 10/153
Problem #: Three letters picked without replacement from {o: 3, w: 5, f: 2, v: 5}. Give prob of sequence fvw.
Interpretation: 5/273
Problem #: What is prob of sequence xmlx when four letters picked without replacement from {l: 5, m: 2, r: 4, y: 1, x: 5, f: 3}?
Interpretation: 5/2907
Problem #: What is prob of sequence ss when two letters picked without replacement from bjsjsbsbjbw?
Interpretation: 3/55
Problem #: Calculate prob of sequence bsk when three letters picked without replacement from {s: 5, b: 2, k: 13}.
Interpretation: 13/684
Problem #: What is prob of sequence ejt when three letters picked without replacement from {t: 2, e: 9, j: 6}?
Interpretation: 9/340
Problem #: Calculate prob of sequence ott when three letters picked without replacement from ootty.
Interpretation: 1/15
Problem #: Three letters picked without replacement from smgmgpmsggm. Give prob of sequence gss.
Interpretation: 4/495
Problem #: What is prob
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english
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probability: swr p sequence
---------------------------
Prompt: Calculate prob of sequence cc when two letters picked without replacement from {c: 7, z: 2}.
A: 7/12
Prompt: Calculate prob of sequence fk when two letters picked without replacement from {k: 1, n: 1, f: 2, v: 2}.
A: 1/15
Prompt: Calculate prob of sequence oo when two letters picked without replacement from jggrnor.
A: 0
Prompt: Two letters picked without replacement from iuuouuouuuuouigugouu. What is prob of sequence ii?
A: 1/190
Prompt: Calculate prob of sequence iix when three letters picked without replacement from iixxixixii.
A: 1/6
Prompt: What is prob of sequence nyg when three letters picked without replacement from nvnivnnnngygvvvvnvnn?
A: 1/380
Prompt: What is prob of sequence ruju when four letters picked without replacement from {u: 7, h: 1, j: 1, r: 7}?
A: 7/1040
Prompt: What is prob of sequence zv when two letters picked without replacement from {f: 7, v: 2, z: 1}?
A: 1/45
Prompt: Two letters picked without replacement from {t: 1, y: 3, u: 2, f: 1, o: 4}. Give prob of sequence ou.
A: 4/55
Prompt: Calculate prob of sequence xkk when three letters picked without replacement from kxkkkxkkkkkx.
A: 9/55
Prompt: Three letters picked without replacement from {p: 1, c: 4, m: 1, h: 2, u: 3}. Give prob of sequence pmc.
A: 2/495
Prompt: Two letters picked without replacement from {g: 4, m: 7}. Give prob of sequence gg.
A: 6/55
Prompt: Calculate prob of sequence gnd when three letters picked without replacement from {n: 4, h: 1, g: 5, d: 1}.
A: 2/99
Prompt: Two letters picked without replacement from ydyrdrtryyc. Give prob of sequence rt.
A: 3/110
Prompt: Two letters picked without replacement from {w: 2, x: 2, s: 3, g: 1, c: 11}. What is prob of sequence xc?
A: 11/171
Prompt: Calculate prob of sequence xvxx when four letters picked without replacement from {t: 5, x: 2, a: 1, c: 1, v: 3}.
A: 0
Prompt: Two letters picked without replacement from {q: 1, u: 1, h: 3}. Give prob of sequence qh.
A: 3/20
Pro
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english
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numbers: gcd
------------
Exercise: Calculate the greatest common factor of 17969 and 50721353.
Sol: 2567
Exercise: What is the highest common divisor of 20 and 18901430?
Sol: 10
Exercise: Calculate the greatest common divisor of 982965053 and 3703.
Sol: 3703
Exercise: Calculate the greatest common divisor of 4107728 and 8.
Sol: 8
Exercise: What is the greatest common factor of 339 and 62505?
Sol: 3
Exercise: What is the greatest common factor of 624 and 361104?
Sol: 48
Exercise: What is the highest common factor of 5261796 and 36?
Sol: 36
Exercise: What is the highest common factor of 3033 and 81305631?
Sol: 3033
Exercise: What is the greatest common divisor of 13050 and 43326?
Sol: 522
Exercise: What is the greatest common factor of 1551 and 99?
Sol: 33
Exercise: Calculate the greatest common factor of 22 and 143.
Sol: 11
Exercise: Calculate the highest common factor of 55247 and 173399.
Sol: 547
Exercise: Calculate the greatest common factor of 1210 and 100760.
Sol: 110
Exercise: What is the greatest common divisor of 148774 and 146?
Sol: 146
Exercise: What is the highest common divisor of 1179 and 216?
Sol: 9
Exercise: What is the greatest common factor of 45 and 5235?
Sol: 15
Exercise: What is the greatest common divisor of 264 and 24?
Sol: 24
Exercise: What is the greatest common divisor of 1800915 and 71?
Sol: 71
Exercise: What is the highest common divisor of 38700 and 9446670?
Sol: 3870
Exercise: Calculate the highest common factor of 83512 and 21681.
Sol: 803
Exercise: Calculate the highest common factor of 1802 and 745008.
Sol: 34
Exercise: Calculate the highest common divisor of 387 and 42.
Sol: 3
Exercise: What is the highest common factor of 9932 and 299494?
Sol: 26
Exercise: What is the greatest common divisor of 15300 and 144?
Sol: 36
Exercise: What is the greatest common divisor of 1039614 and 348331?
Sol: 163
Exercise: Calculate the greatest common divisor of 317928 and 1704.
Sol: 24
Exercise: What is the highest common divisor of 5221 and 6463?
So
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english
|
numbers: is prime
-----------------
Inquiry: Is 14491627 a composite number?
Workthrough: False
Inquiry: Is 46731434327 prime?
Workthrough: True
Inquiry: Is 435362789 a composite number?
Workthrough: True
Inquiry: Is 20007311377 a prime number?
Workthrough: True
Inquiry: Is 664520647 a prime number?
Workthrough: False
Inquiry: Is 17672098621 a prime number?
Workthrough: False
Inquiry: Is 172222508309 composite?
Workthrough: True
Inquiry: Is 1806873295 composite?
Workthrough: True
Inquiry: Is 368939 prime?
Workthrough: True
Inquiry: Is 439816151 prime?
Workthrough: False
Inquiry: Is 18263 a composite number?
Workthrough: True
Inquiry: Is 13759431163 a composite number?
Workthrough: False
Inquiry: Is 943876887 a composite number?
Workthrough: True
Inquiry: Is 371670787 a composite number?
Workthrough: True
Inquiry: Is 736607 a prime number?
Workthrough: True
Inquiry: Is 1037232847 composite?
Workthrough: True
Inquiry: Is 1270891649 a composite number?
Workthrough: False
Inquiry: Is 245789 a prime number?
Workthrough: True
Inquiry: Is 21636653 prime?
Workthrough: False
Inquiry: Is 5519 composite?
Workthrough: False
Inquiry: Is 11981 prime?
Workthrough: True
Inquiry: Is 8501 prime?
Workthrough: True
Inquiry: Is 3551 prime?
Workthrough: False
Inquiry: Is 46469431 a prime number?
Workthrough: True
Inquiry: Is 2938213 prime?
Workthrough: True
Inquiry: Is 11157270541 a composite number?
Workthrough: False
Inquiry: Is 163841 a prime number?
Workthrough: True
Inquiry: Is 26581847 prime?
Workthrough: False
Inquiry: Is 266891 a composite number?
Workthrough: False
Inquiry: Is 86399 a prime number?
Workthrough: True
Inquiry: Is 8602671413 composite?
Workthrough: True
Inquiry: Is 38543897 composite?
Workthrough: True
Inquiry: Is 100543 composite?
Workthrough: True
Inquiry: Is 13986013 a prime number?
Workthrough: True
Inquiry: Is 211771491089 composite?
Workthrough: True
Inquiry: Is 1006172669 a composite number?
Workthrough: False
Inquiry: Is 20309605678 a prime number?
Workthro
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english
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probability: swr p sequence
---------------------------
Prompt: Three letters picked without replacement from {d: 1, k: 1, p: 1, l: 2, z: 1, a: 1}. Give prob of sequence pzd.
Clarification: 1/210
Prompt: Calculate prob of sequence khq when three letters picked without replacement from eghhgkhkehqhgre.
Clarification: 1/273
Prompt: Three letters picked without replacement from {l: 5, k: 4, g: 8}. Give prob of sequence llk.
Clarification: 1/51
Prompt: What is prob of sequence udug when four letters picked without replacement from bbbdbbubgbdub?
Clarification: 1/4290
Prompt: Three letters picked without replacement from xxmfj. What is prob of sequence jfx?
Clarification: 1/30
Prompt: Calculate prob of sequence qd when two letters picked without replacement from jqddjdqdqddq.
Clarification: 2/11
Prompt: Calculate prob of sequence lqq when three letters picked without replacement from qql.
Clarification: 1/3
Prompt: Calculate prob of sequence uu when two letters picked without replacement from vijiguvivjvjiiujiii.
Clarification: 1/171
Prompt: Two letters picked without replacement from rnvjhejjnejjhnjrnrh. What is prob of sequence je?
Clarification: 2/57
Prompt: Four letters picked without replacement from oqndoddwnowbbd. What is prob of sequence dowo?
Clarification: 2/1001
Prompt: Calculate prob of sequence gf when two letters picked without replacement from nfg.
Clarification: 1/6
Prompt: What is prob of sequence gl when two letters picked without replacement from llvgl?
Clarification: 3/20
Prompt: Calculate prob of sequence yal when three letters picked without replacement from occllyya.
Clarification: 1/84
Prompt: Calculate prob of sequence uy when two letters picked without replacement from {r: 2, y: 1, u: 2, b: 4}.
Clarification: 1/36
Prompt: Two letters picked without replacement from wwwwwww. What is prob of sequence ww?
Clarification: 1
Prompt: Calculate prob of sequence zzzz when four letters picked without replacement from zqzzzzqz.
Clarification: 3/14
Prompt:
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english
|
probability: swr p sequence
---------------------------
Given: Two letters picked without replacement from {i: 2, y: 1, e: 1, q: 2}. Give prob of sequence ei.
Result: 1/15
Given: Calculate prob of sequence xxj when three letters picked without replacement from {x: 4, e: 1, b: 3, s: 4, j: 1}.
Result: 1/143
Given: Three letters picked without replacement from {q: 5, u: 4, k: 3, r: 1, t: 5}. Give prob of sequence kqq.
Result: 5/408
Given: Four letters picked without replacement from {n: 7, v: 1, h: 2, q: 2, j: 1, o: 2}. What is prob of sequence qnjq?
Result: 1/2340
Given: Four letters picked without replacement from cavmt. What is prob of sequence matv?
Result: 1/120
Given: Three letters picked without replacement from {p: 1, h: 1, b: 4, z: 1, c: 1}. What is prob of sequence bzc?
Result: 1/84
Given: Four letters picked without replacement from wittjbb. Give prob of sequence btit.
Result: 1/210
Given: Calculate prob of sequence rxjd when four letters picked without replacement from rrfjjjuxrrdj.
Result: 2/1485
Given: Three letters picked without replacement from pppbbbppppbpppppbppp. What is prob of sequence pbp?
Result: 35/228
Given: What is prob of sequence ff when two letters picked without replacement from jfg?
Result: 0
Given: Calculate prob of sequence wvv when three letters picked without replacement from zezeddvevezvvvvwvee.
Result: 7/969
Given: What is prob of sequence yer when three letters picked without replacement from eryyeyyyjyjeyeyy?
Result: 3/280
Given: What is prob of sequence mmm when three letters picked without replacement from {m: 9, s: 10}?
Result: 28/323
Given: What is prob of sequence vo when two letters picked without replacement from {v: 7, x: 7, o: 2}?
Result: 7/120
Given: Calculate prob of sequence hhk when three letters picked without replacement from hvchggkgjghggkhkh.
Result: 1/68
Given: What is prob of sequence twtw when four letters picked without replacement from {t: 9, w: 11}?
Result: 22/323
Given: Two letters picked without replaceme
|
english
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measurement: conversion
-----------------------
Test item: How many seconds are there in 857.2342ms?
Solution: 0.8572342
Test item: Convert 369.758 litres to millilitres.
Solution: 369758
Test item: What is 8.928422 millilitres in litres?
Solution: 0.008928422
Test item: What is 406.2946 days in nanoseconds?
Solution: 35103853440000000
Test item: What is twenty-one eighths of a week in hours?
Solution: 441
Test item: What is 809.4385kg in milligrams?
Solution: 809438500
Test item: How many kilometers are there in 52.81954 meters?
Solution: 0.05281954
Test item: How many years are there in one twentieth of a millennium?
Solution: 50
Test item: How many millilitres are there in 6/5 of a litre?
Solution: 1200
Test item: What is nineteen quarters of a century in years?
Solution: 475
Test item: How many millilitres are there in 6/25 of a litre?
Solution: 240
Test item: How many kilograms are there in 9728.045 micrograms?
Solution: 0.000009728045
Test item: What is twenty-six fifths of a meter in millimeters?
Solution: 5200
Test item: What is three tenths of a centimeter in millimeters?
Solution: 3
Test item: What is fifty-one halves of a meter in centimeters?
Solution: 2550
Test item: What is 3/40 of a second in microseconds?
Solution: 75000
Test item: Convert 0.1585448 milligrams to kilograms.
Solution: 0.0000001585448
Test item: What is 7.579395 litres in millilitres?
Solution: 7579.395
Test item: What is 0.8368346km in millimeters?
Solution: 836834.6
Test item: How many millilitres are there in twenty-one fifths of a litre?
Solution: 4200
Test item: How many minutes are there in 2.7195933ns?
Solution: 0.000000000045326555
Test item: Convert 80424.75 milliseconds to nanoseconds.
Solution: 80424750000
Test item: What is eleven halves of a millimeter in micrometers?
Solution: 5500
Test item: Convert 2322.131 years to centuries.
Solution: 23.22131
Test item: How many minutes are there in five sixths of a day?
Solution: 1200
Test item: Convert 28.63616 litres to millilitre
|
english
|
numbers: is factor
------------------
Problem: Does 18 divide 4746132?
Solution: True
Problem: Does 24 divide 1892556?
Solution: False
Problem: Does 44 divide 2506?
Solution: False
Problem: Is 6 a factor of 33528?
Solution: True
Problem: Is 257226 a multiple of 8?
Solution: False
Problem: Does 17 divide 50694?
Solution: True
Problem: Does 14 divide 47758061?
Solution: False
Problem: Does 49 divide 2105?
Solution: False
Problem: Is 2000 a multiple of 24?
Solution: False
Problem: Is 600 a factor of 485873089?
Solution: False
Problem: Does 5758 divide 1418702104?
Solution: True
Problem: Is 2 a factor of 855?
Solution: False
Problem: Is 36210515 a multiple of 49?
Solution: False
Problem: Is 6 a factor of 60850?
Solution: False
Problem: Is 153468 a multiple of 42?
Solution: True
Problem: Is 5 a factor of 993673873?
Solution: False
Problem: Does 3 divide 770705?
Solution: False
Problem: Is 15 a factor of 733?
Solution: False
Problem: Is 240 a factor of 17218576?
Solution: False
Problem: Is 1695904 a multiple of 123?
Solution: False
Problem: Does 104 divide 6443393?
Solution: False
Problem: Is 39 a factor of 73827?
Solution: True
Problem: Is 235 a factor of 2051080?
Solution: True
Problem: Does 25 divide 7325?
Solution: True
Problem: Does 11 divide 522566?
Solution: True
Problem: Does 232 divide 33612160?
Solution: True
Problem: Is 24 a factor of 57977160?
Solution: True
Problem: Does 17 divide 663?
Solution: True
Problem: Is 8190 a multiple of 2?
Solution: True
Problem: Is 8834953 a multiple of 18?
Solution: False
Problem: Is 5098 a factor of 578896464?
Solution: False
Problem: Does 2 divide 265?
Solution: False
Problem: Is 1185 a multiple of 15?
Solution: True
Problem: Is 2831 a multiple of 31?
Solution: False
Problem: Is 1299436942 a multiple of 19?
Solution: True
Problem: Does 927 divide 988561337?
Solution: False
Problem: Is 1239900 a multiple of 12?
Solution: True
Problem: Is 19 a factor of 1007?
Solution: True
Problem: Is 4 a factor of 262?
Solution: False
Problem:
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english
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arithmetic: nearest integer root
--------------------------------
Step: What is the cube root of 23684950 to the nearest integer?
Steps: 287
Step: What is 1766524 to the power of 1/3, to the nearest integer?
Steps: 121
Step: What is the cube root of 84297 to the nearest integer?
Steps: 44
Step: What is 1904504894 to the power of 1/2, to the nearest integer?
Steps: 43641
Step: What is 787167 to the power of 1/6, to the nearest integer?
Steps: 10
Step: What is the square root of 736465494 to the nearest integer?
Steps: 27138
Step: What is 50120 to the power of 1/6, to the nearest integer?
Steps: 6
Step: What is 51431 to the power of 1/2, to the nearest integer?
Steps: 227
Step: What is the third root of 457714530 to the nearest integer?
Steps: 771
Step: What is the seventh root of 1882 to the nearest integer?
Steps: 3
Step: What is the eighth root of 1531008 to the nearest integer?
Steps: 6
Step: What is 458 to the power of 1/2, to the nearest integer?
Steps: 21
Step: What is 13178670 to the power of 1/2, to the nearest integer?
Steps: 3630
Step: What is the fourth root of 328 to the nearest integer?
Steps: 4
Step: What is 1911573 to the power of 1/2, to the nearest integer?
Steps: 1383
Step: What is the third root of 4372316 to the nearest integer?
Steps: 164
Step: What is the sixth root of 899 to the nearest integer?
Steps: 3
Step: What is 50839757 to the power of 1/2, to the nearest integer?
Steps: 7130
Step: What is the cube root of 2039539 to the nearest integer?
Steps: 127
Step: What is the eighth root of 32022028 to the nearest integer?
Steps: 9
Step: What is the cube root of 3460643 to the nearest integer?
Steps: 151
Step: What is the fourth root of 150310 to the nearest integer?
Steps: 20
Step: What is 137949507 to the power of 1/2, to the nearest integer?
Steps: 11745
Step: What is 1567553 to the power of 1/2, to the nearest integer?
Steps: 1252
Step: What is 29196 to the power of 1/8, to the nearest integer?
Steps: 4
Step: What is 19237 to the power of 1/9,
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english
|
measurement: conversion
-----------------------
Statement: How many millilitres are there in 5/4 of a litre?
A: 1250
Statement: What is thirteen eighths of a litre in millilitres?
A: 1625
Statement: How many centimeters are there in three tenths of a kilometer?
A: 30000
Statement: Convert 582075.3 days to seconds.
A: 50291305920
Statement: What is 2.1724479 minutes in days?
A: 0.001508644375
Statement: How many millilitres are there in 501.6279l?
A: 501627.9
Statement: How many months are there in 15/4 of a century?
A: 4500
Statement: How many millennia are there in 0.9293993 decades?
A: 0.009293993
Statement: How many hours are there in 8/21 of a week?
A: 64
Statement: How many litres are there in 652771.3 millilitres?
A: 652.7713
Statement: What is one sixteenth of a millennium in months?
A: 750
Statement: What is one fifth of a gram in milligrams?
A: 200
Statement: Convert 15959.87l to millilitres.
A: 15959870
Statement: How many nanograms are there in 0.2593154 tonnes?
A: 259315400000000
Statement: Convert 46158.6us to minutes.
A: 0.00076931
Statement: Convert 85.4029 millilitres to litres.
A: 0.0854029
Statement: What is 7/4 of a kilometer in meters?
A: 1750
Statement: What is 169.2485mm in centimeters?
A: 16.92485
Statement: Convert 351.9805 weeks to seconds.
A: 212877806.4
Statement: How many microseconds are there in 1/20 of a millisecond?
A: 50
Statement: How many millilitres are there in 326.2797l?
A: 326279.7
Statement: How many decades are there in 6988.014 millennia?
A: 698801.4
Statement: How many seconds are there in 21306.79 hours?
A: 76704444
Statement: Convert 453.9135 years to millennia.
A: 0.4539135
Statement: What is 0.5063405kg in grams?
A: 506.3405
Statement: What is 86921.15 millennia in centuries?
A: 869211.5
Statement: How many kilograms are there in twenty-seven quarters of a tonne?
A: 6750
Statement: What is 3/5 of a meter in centimeters?
A: 60
Statement: How many nanograms are there in 938.1246 tonnes?
A: 938124600000000000
Statement: Ho
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english
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numbers: div remainder
----------------------
Part A: Calculate the remainder when 7327 is divided by 47.
Result: 42
Part A: Calculate the remainder when 124 is divided by 111.
Result: 13
Part A: Calculate the remainder when 1878862 is divided by 626243.
Result: 133
Part A: Calculate the remainder when 1854 is divided by 328.
Result: 214
Part A: Calculate the remainder when 524824867 is divided by 2442.
Result: 2437
Part A: Calculate the remainder when 26496 is divided by 1558.
Result: 10
Part A: Calculate the remainder when 845311 is divided by 280393.
Result: 4132
Part A: What is the remainder when 13006533 is divided by 151?
Result: 148
Part A: Calculate the remainder when 1860240 is divided by 10956.
Result: 8676
Part A: What is the remainder when 23289 is divided by 22148?
Result: 1141
Part A: What is the remainder when 117591 is divided by 4114?
Result: 2399
Part A: Calculate the remainder when 2804 is divided by 2454.
Result: 350
Part A: Calculate the remainder when 17860 is divided by 307.
Result: 54
Part A: Calculate the remainder when 2340833 is divided by 585165.
Result: 173
Part A: What is the remainder when 457 is divided by 23?
Result: 20
Part A: What is the remainder when 318 is divided by 40?
Result: 38
Part A: What is the remainder when 8150667 is divided by 15?
Result: 12
Part A: Calculate the remainder when 65 is divided by 24.
Result: 17
Part A: What is the remainder when 25305 is divided by 36?
Result: 33
Part A: What is the remainder when 824 is divided by 36?
Result: 32
Part A: Calculate the remainder when 152 is divided by 11.
Result: 9
Part A: What is the remainder when 5643 is divided by 53?
Result: 25
Part A: Calculate the remainder when 43 is divided by 4.
Result: 3
Part A: Calculate the remainder when 127808 is divided by 3038.
Result: 212
Part A: Calculate the remainder when 196684461 is divided by 243.
Result: 18
Part A: What is the remainder when 29078830 is divided by 364?
Result: 326
Part A: Calculate the remainder when 2739 is divi
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english
|
numbers: place value
--------------------
What if: What is the thousands digit of 21541039?
Result: 1
What if: What is the millions digit of 6873915?
Result: 6
What if: What is the millions digit of 612065130?
Result: 2
What if: What is the hundred millions digit of 327697175?
Result: 3
What if: What is the ten thousands digit of 4364245?
Result: 6
What if: What is the ten millions digit of 95073892?
Result: 9
What if: What is the units digit of 85304?
Result: 4
What if: What is the thousands digit of 140425418?
Result: 5
What if: What is the hundred thousands digit of 66178475?
Result: 1
What if: What is the millions digit of 4743018314?
Result: 3
What if: What is the units digit of 3109?
Result: 9
What if: What is the hundreds digit of 93019673?
Result: 6
What if: What is the tens digit of 2258?
Result: 5
What if: What is the thousands digit of 4028?
Result: 4
What if: What is the hundreds digit of 575?
Result: 5
What if: What is the thousands digit of 117143?
Result: 7
What if: What is the units digit of 714?
Result: 4
What if: What is the thousands digit of 165102328?
Result: 2
What if: What is the units digit of 9?
Result: 9
What if: What is the ten thousands digit of 3325161?
Result: 2
What if: What is the hundreds digit of 959976?
Result: 9
What if: What is the tens digit of 93063?
Result: 6
What if: What is the millions digit of 10562510?
Result: 0
What if: What is the hundreds digit of 124426?
Result: 4
What if: What is the units digit of 60023039?
Result: 9
What if: What is the thousands digit of 4259?
Result: 4
What if: What is the hundreds digit of 10831?
Result: 8
What if: What is the billions digit of 1069543617?
Result: 1
What if: What is the thousands digit of 1068625?
Result: 8
What if: What is the units digit of 2238?
Result: 8
What if: What is the tens digit of 33957368?
Result: 6
What if: What is the ten thousands digit of 2371167?
Result: 7
What if: What is the units digit of 8627?
Result: 7
What if: What is the ten thousands digit of 3757103?
R
|
english
|
arithmetic: nearest integer root
--------------------------------
Case: What is the square root of 30000 to the nearest integer?
Result: 173
Case: What is 2068215591 to the power of 1/2, to the nearest integer?
Result: 45478
Case: What is 77778 to the power of 1/5, to the nearest integer?
Result: 10
Case: What is the tenth root of 18283 to the nearest integer?
Result: 3
Case: What is 10509 to the power of 1/2, to the nearest integer?
Result: 103
Case: What is the cube root of 4017806 to the nearest integer?
Result: 159
Case: What is 276572754 to the power of 1/2, to the nearest integer?
Result: 16630
Case: What is the fifth root of 4545 to the nearest integer?
Result: 5
Case: What is the cube root of 27988528 to the nearest integer?
Result: 304
Case: What is 2872 to the power of 1/2, to the nearest integer?
Result: 54
Case: What is 72114 to the power of 1/4, to the nearest integer?
Result: 16
Case: What is 193893377 to the power of 1/6, to the nearest integer?
Result: 24
Case: What is the third root of 287992415 to the nearest integer?
Result: 660
Case: What is 162416422 to the power of 1/2, to the nearest integer?
Result: 12744
Case: What is 3523145227 to the power of 1/3, to the nearest integer?
Result: 1522
Case: What is the cube root of 55105296 to the nearest integer?
Result: 381
Case: What is 97534 to the power of 1/2, to the nearest integer?
Result: 312
Case: What is the third root of 4854337 to the nearest integer?
Result: 169
Case: What is 269229 to the power of 1/3, to the nearest integer?
Result: 65
Case: What is the third root of 2245230640 to the nearest integer?
Result: 1309
Case: What is the fourth root of 7496 to the nearest integer?
Result: 9
Case: What is the seventh root of 1142409 to the nearest integer?
Result: 7
Case: What is the third root of 120576 to the nearest integer?
Result: 49
Case: What is 86909577 to the power of 1/2, to the nearest integer?
Result: 9323
Case: What is the third root of 1606 to the nearest integer?
Result: 12
Case: Wha
|
english
|
numbers: gcd
------------
Prompt: What is the highest common factor of 14504 and 224?
Key: 56
Prompt: Calculate the highest common factor of 66866 and 38062722.
Key: 998
Prompt: Calculate the greatest common factor of 18 and 15078861.
Key: 9
Prompt: Calculate the highest common factor of 326 and 1141.
Key: 163
Prompt: What is the greatest common divisor of 1587 and 69?
Key: 69
Prompt: Calculate the highest common divisor of 77 and 44.
Key: 11
Prompt: Calculate the highest common divisor of 1607446 and 492.
Key: 82
Prompt: What is the highest common divisor of 309315 and 416670?
Key: 255
Prompt: What is the greatest common factor of 58 and 68498?
Key: 58
Prompt: What is the highest common factor of 354 and 1974258?
Key: 354
Prompt: What is the greatest common factor of 702 and 6942?
Key: 78
Prompt: Calculate the greatest common divisor of 594438628 and 28.
Key: 28
Prompt: Calculate the highest common factor of 1896999 and 206375.
Key: 1651
Prompt: What is the highest common factor of 287595 and 405090?
Key: 315
Prompt: What is the greatest common factor of 32265 and 3645?
Key: 135
Prompt: What is the highest common divisor of 12350 and 14326?
Key: 494
Prompt: What is the highest common factor of 51 and 7652618?
Key: 17
Prompt: Calculate the highest common factor of 1778 and 8.
Key: 2
Prompt: What is the highest common divisor of 33701 and 201?
Key: 67
Prompt: What is the greatest common divisor of 46 and 88412?
Key: 46
Prompt: What is the greatest common factor of 5 and 4251110?
Key: 5
Prompt: What is the greatest common factor of 27 and 27?
Key: 27
Prompt: What is the greatest common factor of 63 and 63?
Key: 63
Prompt: Calculate the highest common factor of 11 and 2629.
Key: 11
Prompt: What is the highest common divisor of 7622239 and 119?
Key: 17
Prompt: Calculate the highest common factor of 116739 and 306.
Key: 153
Prompt: Calculate the highest common divisor of 40 and 1000.
Key: 40
Prompt: Calculate the highest common divisor of 65 and 1278680.
Key: 65
Prompt:
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english
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probability: swr p level set
----------------------------
Math Q: Two letters picked without replacement from {q: 4, x: 8, c: 2, f: 3, i: 1, l: 2}. Give prob of picking 2 x.
Output: 14/95
Math Q: Three letters picked without replacement from {q: 3, w: 1, h: 1, v: 2}. What is prob of picking 2 q and 1 w?
Output: 3/35
Math Q: What is prob of picking 1 y and 3 l when four letters picked without replacement from lqyylllyq?
Output: 2/21
Math Q: What is prob of picking 1 d and 1 x when two letters picked without replacement from xvqzidxq?
Output: 1/14
Math Q: What is prob of picking 1 e and 1 d when two letters picked without replacement from {e: 2, d: 6, g: 1, n: 4}?
Output: 2/13
Math Q: What is prob of picking 3 p when three letters picked without replacement from {n: 1, d: 2, p: 4, r: 1}?
Output: 1/14
Math Q: Two letters picked without replacement from {e: 1, u: 1, f: 2, g: 3}. What is prob of picking 1 u and 1 e?
Output: 1/21
Math Q: Four letters picked without replacement from {h: 8, x: 3, l: 7}. What is prob of picking 3 l and 1 x?
Output: 7/204
Math Q: Calculate prob of picking 3 w and 1 k when four letters picked without replacement from jkkkkwkkwwwwkjk.
Output: 16/273
Math Q: What is prob of picking 2 y and 2 x when four letters picked without replacement from {p: 6, x: 2, o: 1, y: 2, v: 1}?
Output: 1/495
Math Q: What is prob of picking 4 z when four letters picked without replacement from {z: 9}?
Output: 1
Math Q: Two letters picked without replacement from ppplwallcllcplc. Give prob of picking 1 c and 1 a.
Output: 1/35
Math Q: Three letters picked without replacement from {k: 7}. Give prob of picking 3 k.
Output: 1
Math Q: Two letters picked without replacement from {w: 4, j: 2, l: 1, m: 4, t: 6}. Give prob of picking 1 l and 1 t.
Output: 3/68
Math Q: Three letters picked without replacement from {y: 3, h: 2, o: 6, v: 1, l: 5}. What is prob of picking 2 l and 1 h?
Output: 1/34
Math Q: Four letters picked without replacement from ommoormoommoqmmmmom. Give prob o
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english
|
arithmetic: nearest integer root
--------------------------------
What if: What is the third root of 65989391 to the nearest integer?
Output: 404
What if: What is 246637584 to the power of 1/2, to the nearest integer?
Output: 15705
What if: What is 50176 to the power of 1/4, to the nearest integer?
Output: 15
What if: What is 45790991 to the power of 1/3, to the nearest integer?
Output: 358
What if: What is 2991 to the power of 1/3, to the nearest integer?
Output: 14
What if: What is 12286 to the power of 1/2, to the nearest integer?
Output: 111
What if: What is 2064604378 to the power of 1/3, to the nearest integer?
Output: 1273
What if: What is 1975 to the power of 1/7, to the nearest integer?
Output: 3
What if: What is 2822657 to the power of 1/2, to the nearest integer?
Output: 1680
What if: What is the square root of 122379 to the nearest integer?
Output: 350
What if: What is the square root of 135622573 to the nearest integer?
Output: 11646
What if: What is the third root of 1198884 to the nearest integer?
Output: 106
What if: What is 731928659 to the power of 1/9, to the nearest integer?
Output: 10
What if: What is the square root of 595310991 to the nearest integer?
Output: 24399
What if: What is 728 to the power of 1/2, to the nearest integer?
Output: 27
What if: What is the cube root of 133689 to the nearest integer?
Output: 51
What if: What is 2920332 to the power of 1/2, to the nearest integer?
Output: 1709
What if: What is the seventh root of 2137775 to the nearest integer?
Output: 8
What if: What is 28236 to the power of 1/2, to the nearest integer?
Output: 168
What if: What is the third root of 3481281 to the nearest integer?
Output: 152
What if: What is the tenth root of 1478970 to the nearest integer?
Output: 4
What if: What is the cube root of 737333202 to the nearest integer?
Output: 903
What if: What is the seventh root of 51456854 to the nearest integer?
Output: 13
What if: What is the square root of 23339 to the nearest integer?
Output: 153
Wha
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english
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numbers: is prime
-----------------
Inquiry: Is 8489938427 composite?
Compute: True
Inquiry: Is 455414 prime?
Compute: False
Inquiry: Is 3194999399 a prime number?
Compute: True
Inquiry: Is 97771 a composite number?
Compute: False
Inquiry: Is 55473134221 a prime number?
Compute: False
Inquiry: Is 87553969 a prime number?
Compute: True
Inquiry: Is 125617 a composite number?
Compute: False
Inquiry: Is 4220738417 a composite number?
Compute: True
Inquiry: Is 87291551 composite?
Compute: False
Inquiry: Is 2837677 prime?
Compute: True
Inquiry: Is 8647026643 composite?
Compute: False
Inquiry: Is 1426112159 prime?
Compute: False
Inquiry: Is 15217 composite?
Compute: False
Inquiry: Is 925909 composite?
Compute: True
Inquiry: Is 9360181 a composite number?
Compute: False
Inquiry: Is 5640815677 a prime number?
Compute: False
Inquiry: Is 4375621 composite?
Compute: False
Inquiry: Is 68159944913 prime?
Compute: False
Inquiry: Is 98492993 composite?
Compute: False
Inquiry: Is 4535499497 prime?
Compute: False
Inquiry: Is 25439 a composite number?
Compute: False
Inquiry: Is 414074 a prime number?
Compute: False
Inquiry: Is 1859313 a prime number?
Compute: False
Inquiry: Is 11657 prime?
Compute: True
Inquiry: Is 661272889 prime?
Compute: True
Inquiry: Is 469411 a prime number?
Compute: True
Inquiry: Is 45581849353 a prime number?
Compute: True
Inquiry: Is 9253 prime?
Compute: False
Inquiry: Is 2241937 prime?
Compute: False
Inquiry: Is 3885281567 composite?
Compute: False
Inquiry: Is 1457 prime?
Compute: False
Inquiry: Is 9879022 prime?
Compute: False
Inquiry: Is 2920373 composite?
Compute: True
Inquiry: Is 1861529 composite?
Compute: True
Inquiry: Is 3360983 a composite number?
Compute: False
Inquiry: Is 15811451 prime?
Compute: False
Inquiry: Is 3205 composite?
Compute: True
Inquiry: Is 59357471 composite?
Compute: True
Inquiry: Is 21083 prime?
Compute: False
Inquiry: Is 6469 a prime number?
Compute: True
Inquiry: Is 199872521645 composite?
Compute: True
Inquiry: Is 95947 a prime
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english
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numbers: is prime
-----------------
Situation: Is 84266985617 a prime number?
Outcome: True
Situation: Is 432711866 composite?
Outcome: True
Situation: Is 831961883 a composite number?
Outcome: True
Situation: Is 12553 prime?
Outcome: True
Situation: Is 12251 composite?
Outcome: False
Situation: Is 6355483 composite?
Outcome: True
Situation: Is 68188449247 a prime number?
Outcome: True
Situation: Is 2624003687 composite?
Outcome: True
Situation: Is 1213981 prime?
Outcome: True
Situation: Is 1588798 a prime number?
Outcome: False
Situation: Is 11949767 a prime number?
Outcome: True
Situation: Is 378662287 prime?
Outcome: False
Situation: Is 467213893 prime?
Outcome: True
Situation: Is 715265767 prime?
Outcome: True
Situation: Is 80537 composite?
Outcome: False
Situation: Is 62819 a composite number?
Outcome: False
Situation: Is 120364259941 a prime number?
Outcome: True
Situation: Is 275396111 composite?
Outcome: False
Situation: Is 172587311 a composite number?
Outcome: True
Situation: Is 66471281 prime?
Outcome: True
Situation: Is 162268781 a composite number?
Outcome: False
Situation: Is 3545352829 a composite number?
Outcome: True
Situation: Is 80898799 a composite number?
Outcome: True
Situation: Is 959951 prime?
Outcome: False
Situation: Is 2903087809 a composite number?
Outcome: True
Situation: Is 226679 prime?
Outcome: False
Situation: Is 6715671869 prime?
Outcome: True
Situation: Is 6973851 a composite number?
Outcome: True
Situation: Is 634463689 a composite number?
Outcome: True
Situation: Is 2956493557 prime?
Outcome: True
Situation: Is 27491 a prime number?
Outcome: False
Situation: Is 39813569693 a composite number?
Outcome: True
Situation: Is 164309 a prime number?
Outcome: True
Situation: Is 31465423 composite?
Outcome: True
Situation: Is 27346211057 a composite number?
Outcome: True
Situation: Is 273755 a composite number?
Outcome: True
Situation: Is 280907 composite?
Outcome: True
Situation: Is 2810027959 composite?
Outcome: True
Situation: Is 14334
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english
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probability: swr p level set
----------------------------
Scenario: What is prob of picking 4 p when four letters picked without replacement from pppppppppp?
Calculation: 1
Scenario: Calculate prob of picking 2 f and 2 y when four letters picked without replacement from fyyfyfffoyo.
Calculation: 2/11
Scenario: Calculate prob of picking 1 s, 2 h, and 1 m when four letters picked without replacement from shmmmmmkmiimhahm.
Calculation: 6/455
Scenario: What is prob of picking 2 u, 1 o, and 1 q when four letters picked without replacement from uoqqouuquoo?
Calculation: 12/55
Scenario: Calculate prob of picking 1 r and 2 c when three letters picked without replacement from ckcrkrfccqrfqfvccv.
Calculation: 15/272
Scenario: Calculate prob of picking 1 t, 1 j, 1 o, and 1 w when four letters picked without replacement from {w: 1, m: 1, t: 3, j: 1, o: 1}.
Calculation: 3/35
Scenario: Three letters picked without replacement from {g: 1, a: 1, r: 3}. Give prob of picking 2 r and 1 g.
Calculation: 3/10
Scenario: What is prob of picking 1 a, 1 y, and 1 z when three letters picked without replacement from ywwyyyvaz?
Calculation: 1/21
Scenario: What is prob of picking 1 r, 1 i, and 2 k when four letters picked without replacement from {m: 8, i: 2, r: 5, k: 1}?
Calculation: 0
Scenario: Three letters picked without replacement from {j: 3, m: 9}. Give prob of picking 1 m and 2 j.
Calculation: 27/220
Scenario: Two letters picked without replacement from aotattoaoatt. Give prob of picking 2 o.
Calculation: 1/22
Scenario: Two letters picked without replacement from {t: 5, m: 4, x: 5, v: 1}. Give prob of picking 2 t.
Calculation: 2/21
Scenario: Three letters picked without replacement from {w: 2, c: 3, b: 4, f: 1, s: 4}. Give prob of picking 2 b and 1 f.
Calculation: 3/182
Scenario: Four letters picked without replacement from ggfinnffgnfnguuifgn. Give prob of picking 1 g, 1 f, and 2 i.
Calculation: 25/3876
Scenario: Calculate prob of picking 1 v, 1 n, and 2 z when four letters picked witho
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numbers: lcm
------------
Problem Statement: Calculate the common denominator of -93/57200 and -57/490.
Reply: 2802800
Problem Statement: Calculate the lowest common multiple of 177 and 21.
Reply: 1239
Problem Statement: Find the common denominator of -121/4662 and -71/2072.
Reply: 18648
Problem Statement: What is the common denominator of 15/682522 and -85/12?
Reply: 4095132
Problem Statement: Find the common denominator of 11/228429 and 41/1624384.
Reply: 14619456
Problem Statement: Calculate the smallest common multiple of 9 and 28813.
Reply: 259317
Problem Statement: What is the lowest common multiple of 44 and 204?
Reply: 2244
Problem Statement: What is the smallest common multiple of 15678 and 78?
Reply: 15678
Problem Statement: Calculate the least common multiple of 90 and 5.
Reply: 90
Problem Statement: Calculate the common denominator of -15/49496 and 7/2944.
Reply: 791936
Problem Statement: Calculate the common denominator of -19/580 and 61/1044.
Reply: 5220
Problem Statement: Find the common denominator of 25/71 and -11/494.
Reply: 35074
Problem Statement: What is the smallest common multiple of 80 and 75685008?
Reply: 378425040
Problem Statement: Calculate the smallest common multiple of 77 and 121.
Reply: 847
Problem Statement: Calculate the common denominator of 37/6 and -59/25795.
Reply: 154770
Problem Statement: Calculate the least common multiple of 1200 and 480.
Reply: 2400
Problem Statement: Find the common denominator of 28/62883 and 86/1071.
Reply: 440181
Problem Statement: What is the least common multiple of 33080 and 44856480?
Reply: 44856480
Problem Statement: Calculate the smallest common multiple of 230 and 81.
Reply: 18630
Problem Statement: What is the common denominator of -16/33 and -107/59730?
Reply: 59730
Problem Statement: Calculate the least common multiple of 5788310 and 18235.
Reply: 40518170
Problem Statement: What is the smallest common multiple of 109 and 1714?
Reply: 186826
Problem Statement: Calculate the common denominator
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arithmetic: nearest integer root
--------------------------------
Example: What is the square root of 7547 to the nearest integer?
A.: 87
Example: What is 1370376 to the power of 1/2, to the nearest integer?
A.: 1171
Example: What is the seventh root of 5115575 to the nearest integer?
A.: 9
Example: What is 2595 to the power of 1/3, to the nearest integer?
A.: 14
Example: What is 6129714 to the power of 1/3, to the nearest integer?
A.: 183
Example: What is the third root of 1270041 to the nearest integer?
A.: 108
Example: What is 22089 to the power of 1/6, to the nearest integer?
A.: 5
Example: What is the cube root of 266410427 to the nearest integer?
A.: 643
Example: What is the eighth root of 13948330 to the nearest integer?
A.: 8
Example: What is the square root of 278099774 to the nearest integer?
A.: 16676
Example: What is the third root of 1815 to the nearest integer?
A.: 12
Example: What is the third root of 126384784 to the nearest integer?
A.: 502
Example: What is the tenth root of 23057509 to the nearest integer?
A.: 5
Example: What is 1173178 to the power of 1/2, to the nearest integer?
A.: 1083
Example: What is the third root of 36 to the nearest integer?
A.: 3
Example: What is 8767 to the power of 1/2, to the nearest integer?
A.: 94
Example: What is 100496836 to the power of 1/3, to the nearest integer?
A.: 465
Example: What is the eighth root of 7145864988 to the nearest integer?
A.: 17
Example: What is 1667403412 to the power of 1/3, to the nearest integer?
A.: 1186
Example: What is the tenth root of 152553 to the nearest integer?
A.: 3
Example: What is the eighth root of 162823208 to the nearest integer?
A.: 11
Example: What is 1108 to the power of 1/6, to the nearest integer?
A.: 3
Example: What is 1543124 to the power of 1/9, to the nearest integer?
A.: 5
Example: What is the square root of 1309116 to the nearest integer?
A.: 1144
Example: What is 212630 to the power of 1/6, to the nearest integer?
A.: 8
Example: What is the seventh root of 529791
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english
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probability: swr p level set
----------------------------
Challenge: What is prob of picking 2 k and 1 h when three letters picked without replacement from {r: 6, h: 4, k: 2}?
Workthrough: 1/55
Challenge: Four letters picked without replacement from {l: 1, k: 3, b: 2, z: 1}. Give prob of picking 3 k and 1 b.
Workthrough: 2/35
Challenge: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from arrrrrrar.
Workthrough: 7/18
Challenge: What is prob of picking 1 l and 1 j when two letters picked without replacement from vvjvlvojvljjujujjyv?
Workthrough: 14/171
Challenge: Two letters picked without replacement from {v: 2, k: 2, p: 8}. What is prob of picking 1 p and 1 k?
Workthrough: 8/33
Challenge: What is prob of picking 4 x when four letters picked without replacement from xnxnnxxxxnxxxx?
Workthrough: 30/143
Challenge: Three letters picked without replacement from {d: 4, y: 2, f: 1, e: 3, w: 3, h: 4}. What is prob of picking 2 y and 1 e?
Workthrough: 3/680
Challenge: Four letters picked without replacement from xlllddlxxdxdlxxx. What is prob of picking 1 x and 3 l?
Workthrough: 1/26
Challenge: Four letters picked without replacement from {b: 2, g: 5, m: 5, j: 3, e: 1}. What is prob of picking 1 g, 1 j, 1 e, and 1 b?
Workthrough: 3/182
Challenge: Four letters picked without replacement from wfppfwfp. Give prob of picking 1 w, 1 p, and 2 f.
Workthrough: 9/35
Challenge: Calculate prob of picking 2 g when two letters picked without replacement from qqqgqqggqqggqq.
Workthrough: 10/91
Challenge: What is prob of picking 1 q and 1 w when two letters picked without replacement from {q: 2, w: 2, b: 4}?
Workthrough: 1/7
Challenge: Two letters picked without replacement from fxxfgxkdggdxgf. What is prob of picking 1 k and 1 d?
Workthrough: 2/91
Challenge: Three letters picked without replacement from {s: 2, z: 3, d: 2, c: 5}. Give prob of picking 1 s, 1 d, and 1 c.
Workthrough: 1/11
Challenge: What is prob of picking 2 m and 2 j when four letters pick
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english
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numbers: is factor
------------------
Situation: Is 806748 a multiple of 69?
Result: True
Situation: Does 130 divide 39130?
Result: True
Situation: Is 2 a factor of 89?
Result: False
Situation: Is 858218900 a multiple of 15?
Result: False
Situation: Is 943 a factor of 2045367?
Result: True
Situation: Does 2 divide 740?
Result: True
Situation: Is 31446090 a multiple of 255?
Result: True
Situation: Is 23 a factor of 4577?
Result: True
Situation: Is 51111 a multiple of 104?
Result: False
Situation: Is 65 a factor of 272332385?
Result: True
Situation: Is 4698149 a multiple of 29?
Result: False
Situation: Is 357824175 a multiple of 10?
Result: False
Situation: Does 3650 divide 3451948?
Result: False
Situation: Does 7060 divide 1958316168?
Result: False
Situation: Does 11 divide 341892?
Result: False
Situation: Does 13 divide 12603?
Result: False
Situation: Is 13274 a multiple of 36?
Result: False
Situation: Is 1020 a factor of 4374275100?
Result: True
Situation: Is 19544 a multiple of 74?
Result: False
Situation: Does 25 divide 139051150?
Result: True
Situation: Is 3 a factor of 96?
Result: True
Situation: Is 2 a factor of 42996563?
Result: False
Situation: Is 29 a factor of 1122?
Result: False
Situation: Does 95 divide 5057?
Result: False
Situation: Is 575 a factor of 4507425?
Result: True
Situation: Is 6910 a multiple of 59?
Result: False
Situation: Is 990 a factor of 4482720?
Result: True
Situation: Is 1409 a factor of 83997904?
Result: False
Situation: Does 534 divide 28628383?
Result: False
Situation: Does 114 divide 6503586?
Result: True
Situation: Does 5 divide 29295362?
Result: False
Situation: Does 33 divide 730989671?
Result: False
Situation: Is 51 a factor of 55058070?
Result: True
Situation: Is 563 a factor of 30297282?
Result: True
Situation: Is 1753 a multiple of 66?
Result: False
Situation: Is 14 a factor of 274744161?
Result: False
Situation: Does 535 divide 11119440?
Result: True
Situation: Does 64 divide 398656?
Result: True
Situation: Is 16 a factor of
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english
|
numbers: gcd
------------
Question: What is the greatest common divisor of 18095 and 231?
Key: 77
Question: Calculate the greatest common factor of 99 and 22.
Key: 11
Question: Calculate the greatest common divisor of 363 and 2543541.
Key: 363
Question: What is the highest common divisor of 6766 and 1194?
Key: 398
Question: Calculate the highest common divisor of 78 and 27222.
Key: 78
Question: Calculate the greatest common factor of 1996892 and 229764.
Key: 1868
Question: What is the highest common divisor of 494 and 752960?
Key: 26
Question: What is the highest common factor of 3460 and 109360220?
Key: 3460
Question: What is the highest common factor of 965 and 777211?
Key: 193
Question: What is the highest common divisor of 5240 and 80?
Key: 40
Question: What is the greatest common divisor of 3589 and 111?
Key: 37
Question: Calculate the highest common factor of 49185 and 450.
Key: 45
Question: Calculate the highest common factor of 318685 and 15.
Key: 5
Question: Calculate the highest common divisor of 591814 and 7116.
Key: 1186
Question: What is the greatest common divisor of 960 and 99127680?
Key: 960
Question: Calculate the greatest common divisor of 127516 and 284.
Key: 284
Question: What is the greatest common divisor of 143 and 572?
Key: 143
Question: What is the highest common divisor of 4221 and 26229?
Key: 21
Question: What is the greatest common factor of 82 and 8479538?
Key: 82
Question: Calculate the highest common factor of 216432 and 130668816.
Key: 8016
Question: What is the greatest common divisor of 128 and 216?
Key: 8
Question: Calculate the highest common divisor of 754009 and 943.
Key: 23
Question: What is the highest common factor of 117110 and 363433?
Key: 49
Question: What is the highest common factor of 32 and 1312?
Key: 32
Question: What is the highest common divisor of 260 and 7904?
Key: 52
Question: Calculate the greatest common factor of 1684 and 6893033.
Key: 421
Question: What is the highest common factor of 1709708 and 196?
Key: 19
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english
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probability: swr p level set
----------------------------
Q): What is prob of picking 1 s and 1 r when two letters picked without replacement from rrrrsrrrrrjrjrrrj?
Response: 13/136
Q): Four letters picked without replacement from xqwwwgggxgqqxw. What is prob of picking 3 q and 1 g?
Response: 4/1001
Q): Two letters picked without replacement from kkkgkkzkkkgzgkzkkgz. What is prob of picking 2 k?
Response: 55/171
Q): What is prob of picking 2 m, 1 i, and 1 e when four letters picked without replacement from eizeimzmeemeiei?
Response: 24/455
Q): Four letters picked without replacement from {j: 2, q: 4, x: 7}. Give prob of picking 2 q, 1 j, and 1 x.
Response: 84/715
Q): Calculate prob of picking 3 f and 1 j when four letters picked without replacement from ujjfujxujjfjdff.
Response: 8/455
Q): Four letters picked without replacement from {d: 7, v: 2}. Give prob of picking 4 d.
Response: 5/18
Q): Two letters picked without replacement from {g: 19, p: 1}. Give prob of picking 1 g and 1 p.
Response: 1/10
Q): Four letters picked without replacement from iiticicciittc. Give prob of picking 4 i.
Response: 3/143
Q): Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {d: 1, m: 1, j: 1}.
Response: 1/3
Q): Calculate prob of picking 1 i and 2 q when three letters picked without replacement from {r: 1, q: 2, i: 1}.
Response: 1/4
Q): Two letters picked without replacement from prp. What is prob of picking 1 p and 1 r?
Response: 2/3
Q): Two letters picked without replacement from lmlm. Give prob of picking 2 l.
Response: 1/6
Q): Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {d: 2, f: 2, c: 1, g: 1, q: 2, v: 1}.
Response: 1/9
Q): Three letters picked without replacement from {l: 2, k: 1, v: 2, e: 1}. Give prob of picking 1 k and 2 e.
Response: 0
Q): Four letters picked without replacement from uxmvpumump. What is prob of picking 3 m and 1 v?
Response: 1/210
Q): What is prob of picking 1 u and 1 m when two le
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english
|
measurement: time
-----------------
Q: How many minutes are there between 8:37 PM and 9:46 PM?
Answer: 69
Q: What is 617 minutes after 10:27 AM?
Answer: 8:44 PM
Q: How many minutes are there between 10:00 PM and 9:43 AM?
Answer: 703
Q: What is 507 minutes before 11:08 PM?
Answer: 2:41 PM
Q: How many minutes are there between 1:43 PM and 10:50 PM?
Answer: 547
Q: How many minutes are there between 12:06 PM and 2:03 PM?
Answer: 117
Q: How many minutes are there between 4:09 AM and 3:13 PM?
Answer: 664
Q: What is 209 minutes after 5:10 PM?
Answer: 8:39 PM
Q: How many minutes are there between 11:46 PM and 9:03 AM?
Answer: 557
Q: How many minutes are there between 5:55 PM and 7:23 PM?
Answer: 88
Q: How many minutes are there between 12:28 PM and 5:33 PM?
Answer: 305
Q: How many minutes are there between 4:32 AM and 1:09 PM?
Answer: 517
Q: How many minutes are there between 2:53 AM and 11:56 AM?
Answer: 543
Q: How many minutes are there between 7:06 PM and 9:25 PM?
Answer: 139
Q: How many minutes are there between 3:59 AM and 9:26 AM?
Answer: 327
Q: What is 693 minutes before 4:06 AM?
Answer: 4:33 PM
Q: What is 264 minutes after 9:10 AM?
Answer: 1:34 PM
Q: What is 681 minutes after 2:33 AM?
Answer: 1:54 PM
Q: How many minutes are there between 2:41 PM and 4:53 PM?
Answer: 132
Q: How many minutes are there between 6:44 PM and 2:08 AM?
Answer: 444
Q: How many minutes are there between 8:01 AM and 7:56 PM?
Answer: 715
Q: How many minutes are there between 12:32 AM and 12:03 PM?
Answer: 691
Q: How many minutes are there between 1:55 AM and 9:31 AM?
Answer: 456
Q: How many minutes are there between 1:24 PM and 1:28 PM?
Answer: 4
Q: What is 463 minutes after 12:11 AM?
Answer: 7:54 AM
Q: What is 528 minutes after 10:38 PM?
Answer: 7:26 AM
Q: What is 505 minutes before 11:48 PM?
Answer: 3:23 PM
Q: What is 44 minutes before 11:25 AM?
Answer: 10:41 AM
Q: What is 485 minutes before 2:12 PM?
Answer: 6:07 AM
Q: What is 672 minutes after 11:36 PM?
Answer: 10:48 AM
Q: What is 82 minutes
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english
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probability: swr p sequence
---------------------------
Situation: Four letters picked without replacement from aaqhqqaaqtqqhaatht. What is prob of sequence thqt?
Response: 1/680
Situation: What is prob of sequence ll when two letters picked without replacement from nnnnnnnnnnnnnlnlnnln?
Response: 3/190
Situation: Calculate prob of sequence bp when two letters picked without replacement from bcdmp.
Response: 1/20
Situation: What is prob of sequence qwgw when four letters picked without replacement from {q: 1, w: 2, g: 1, f: 1}?
Response: 1/60
Situation: Calculate prob of sequence fcdh when four letters picked without replacement from cdbdchdhdfbgdbddcb.
Response: 7/12240
Situation: What is prob of sequence nq when two letters picked without replacement from {q: 1, j: 4, z: 6, v: 2, n: 2}?
Response: 1/105
Situation: Two letters picked without replacement from svcvxwis. Give prob of sequence vs.
Response: 1/14
Situation: Calculate prob of sequence ffz when three letters picked without replacement from fffazazzffzzazzzf.
Response: 1/17
Situation: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, a: 3}.
Response: 1/10
Situation: What is prob of sequence isi when three letters picked without replacement from {b: 7, y: 1, i: 2, o: 7, s: 2}?
Response: 2/2907
Situation: Two letters picked without replacement from hohhhhhhhhhhhhhhhhhh. Give prob of sequence oh.
Response: 1/20
Situation: Two letters picked without replacement from {p: 4, t: 7}. Give prob of sequence tt.
Response: 21/55
Situation: What is prob of sequence nn when two letters picked without replacement from {n: 10}?
Response: 1
Situation: Two letters picked without replacement from eejecjeejeeej. Give prob of sequence jj.
Response: 1/13
Situation: Calculate prob of sequence jj when two letters picked without replacement from {h: 3, o: 2, j: 2, v: 4, i: 2, d: 2}.
Response: 1/105
Situation: What is prob of sequence gy when two letters picked without replacement from {x: 3, y: 2
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english
|
numbers: place value
--------------------
Query: What is the hundreds digit of 3354808?
Solution: 8
Query: What is the ten thousands digit of 89501?
Solution: 8
Query: What is the tens digit of 30726?
Solution: 2
Query: What is the hundred thousands digit of 9634562?
Solution: 6
Query: What is the tens digit of 186773911?
Solution: 1
Query: What is the tens digit of 564791?
Solution: 9
Query: What is the ten thousands digit of 986902?
Solution: 8
Query: What is the hundreds digit of 126147?
Solution: 1
Query: What is the ten thousands digit of 901000168?
Solution: 0
Query: What is the millions digit of 220402968?
Solution: 0
Query: What is the tens digit of 12609?
Solution: 0
Query: What is the ten thousands digit of 152717136?
Solution: 1
Query: What is the units digit of 4501?
Solution: 1
Query: What is the hundreds digit of 1018?
Solution: 0
Query: What is the ten thousands digit of 1062342?
Solution: 6
Query: What is the hundreds digit of 1509?
Solution: 5
Query: What is the tens digit of 77888757?
Solution: 5
Query: What is the units digit of 68992?
Solution: 2
Query: What is the units digit of 998707?
Solution: 7
Query: What is the tens digit of 118804?
Solution: 0
Query: What is the units digit of 38463?
Solution: 3
Query: What is the thousands digit of 748102693?
Solution: 2
Query: What is the units digit of 3300?
Solution: 0
Query: What is the tens digit of 26411?
Solution: 1
Query: What is the millions digit of 496979762?
Solution: 6
Query: What is the ten thousands digit of 26457?
Solution: 2
Query: What is the hundred thousands digit of 1284250?
Solution: 2
Query: What is the tens digit of 1312147?
Solution: 4
Query: What is the hundreds digit of 108?
Solution: 1
Query: What is the units digit of 6700?
Solution: 0
Query: What is the units digit of 132575?
Solution: 5
Query: What is the thousands digit of 2219167640?
Solution: 7
Query: What is the hundreds digit of 826?
Solution: 8
Query: What is the hundreds digit of 1289338?
Solution: 3
Query: What is t
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english
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measurement: time
-----------------
Ask: What is 202 minutes before 8:29 PM?
Eval: 5:07 PM
Ask: How many minutes are there between 11:40 AM and 11:12 PM?
Eval: 692
Ask: How many minutes are there between 10:22 PM and 8:56 AM?
Eval: 634
Ask: What is 341 minutes before 11:43 AM?
Eval: 6:02 AM
Ask: How many minutes are there between 3:16 AM and 12:22 PM?
Eval: 546
Ask: What is 625 minutes after 7:29 PM?
Eval: 5:54 AM
Ask: What is 251 minutes after 11:44 AM?
Eval: 3:55 PM
Ask: How many minutes are there between 1:19 AM and 6:05 AM?
Eval: 286
Ask: How many minutes are there between 12:21 PM and 11:43 PM?
Eval: 682
Ask: What is 423 minutes after 11:39 PM?
Eval: 6:42 AM
Ask: How many minutes are there between 10:57 PM and 9:40 AM?
Eval: 643
Ask: How many minutes are there between 7:29 PM and 6:08 AM?
Eval: 639
Ask: How many minutes are there between 9:41 PM and 2:58 AM?
Eval: 317
Ask: How many minutes are there between 12:55 PM and 11:57 PM?
Eval: 662
Ask: What is 547 minutes after 12:35 PM?
Eval: 9:42 PM
Ask: How many minutes are there between 5:20 PM and 3:44 AM?
Eval: 624
Ask: What is 585 minutes after 8:06 AM?
Eval: 5:51 PM
Ask: How many minutes are there between 1:26 AM and 3:02 AM?
Eval: 96
Ask: What is 292 minutes after 7:31 AM?
Eval: 12:23 PM
Ask: How many minutes are there between 1:57 PM and 9:45 PM?
Eval: 468
Ask: How many minutes are there between 9:56 AM and 6:41 PM?
Eval: 525
Ask: What is 35 minutes after 5:57 AM?
Eval: 6:32 AM
Ask: What is 503 minutes before 6:54 PM?
Eval: 10:31 AM
Ask: What is 485 minutes before 4:50 PM?
Eval: 8:45 AM
Ask: How many minutes are there between 3:09 AM and 4:40 AM?
Eval: 91
Ask: How many minutes are there between 1:36 AM and 8:16 AM?
Eval: 400
Ask: How many minutes are there between 3:32 PM and 3:09 AM?
Eval: 697
Ask: What is 445 minutes before 12:08 PM?
Eval: 4:43 AM
Ask: How many minutes are there between 5:58 AM and 6:46 AM?
Eval: 48
Ask: How many minutes are there between 8:30 AM and 8:01 PM?
Eval: 691
Ask: How many minutes
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english
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numbers: is factor
------------------
Prompt: Does 44 divide 137060?
Explanation: True
Prompt: Is 8 a factor of 420?
Explanation: False
Prompt: Is 55 a factor of 15565?
Explanation: True
Prompt: Is 45 a factor of 11274?
Explanation: False
Prompt: Does 23 divide 989?
Explanation: True
Prompt: Is 7 a factor of 494054352?
Explanation: False
Prompt: Is 44934906 a multiple of 426?
Explanation: True
Prompt: Does 29 divide 1992591334?
Explanation: True
Prompt: Is 14 a factor of 1206?
Explanation: False
Prompt: Does 2115 divide 231791310?
Explanation: True
Prompt: Is 20 a factor of 1124?
Explanation: False
Prompt: Is 558 a factor of 233244?
Explanation: True
Prompt: Does 37 divide 2780439?
Explanation: True
Prompt: Is 1472322582 a multiple of 206?
Explanation: True
Prompt: Is 44010 a multiple of 45?
Explanation: True
Prompt: Does 10 divide 460?
Explanation: True
Prompt: Does 208 divide 8325824?
Explanation: True
Prompt: Is 925 a factor of 10058900?
Explanation: False
Prompt: Does 63 divide 42628698?
Explanation: True
Prompt: Is 4389 a multiple of 19?
Explanation: True
Prompt: Does 17 divide 14341404?
Explanation: True
Prompt: Does 27 divide 2430?
Explanation: True
Prompt: Is 22 a factor of 799?
Explanation: False
Prompt: Does 10 divide 2204173?
Explanation: False
Prompt: Is 36089 a multiple of 20?
Explanation: False
Prompt: Is 2 a factor of 5529600?
Explanation: True
Prompt: Is 74 a factor of 247285652?
Explanation: True
Prompt: Does 822 divide 4311198242?
Explanation: False
Prompt: Is 194 a factor of 34338?
Explanation: True
Prompt: Is 906081 a multiple of 33?
Explanation: True
Prompt: Does 1706 divide 801676696?
Explanation: True
Prompt: Does 137 divide 34991855?
Explanation: True
Prompt: Does 104 divide 1863888?
Explanation: True
Prompt: Does 168 divide 82625900?
Explanation: False
Prompt: Is 156 a multiple of 12?
Explanation: True
Prompt: Does 141 divide 31302?
Explanation: True
Prompt: Does 4 divide 2129268?
Explanation: True
Prompt: Is 23 a factor of 859394?
Explanati
|
english
|
numbers: div remainder
----------------------
Prompt: What is the remainder when 3581 is divided by 64?
Answer: 61
Prompt: What is the remainder when 3124 is divided by 12?
Answer: 4
Prompt: What is the remainder when 73734 is divided by 121?
Answer: 45
Prompt: Calculate the remainder when 87 is divided by 37.
Answer: 13
Prompt: Calculate the remainder when 20851447 is divided by 123.
Answer: 118
Prompt: What is the remainder when 1519 is divided by 20?
Answer: 19
Prompt: What is the remainder when 376 is divided by 21?
Answer: 19
Prompt: Calculate the remainder when 575 is divided by 18.
Answer: 17
Prompt: Calculate the remainder when 7861 is divided by 1123.
Answer: 0
Prompt: Calculate the remainder when 283 is divided by 231.
Answer: 52
Prompt: Calculate the remainder when 3411580 is divided by 461.
Answer: 180
Prompt: Calculate the remainder when 7340991 is divided by 551.
Answer: 18
Prompt: What is the remainder when 685432 is divided by 171351?
Answer: 28
Prompt: What is the remainder when 3797511 is divided by 7?
Answer: 4
Prompt: Calculate the remainder when 105369 is divided by 59.
Answer: 54
Prompt: What is the remainder when 40 is divided by 6?
Answer: 4
Prompt: Calculate the remainder when 449022 is divided by 64144.
Answer: 14
Prompt: Calculate the remainder when 24987 is divided by 68.
Answer: 31
Prompt: Calculate the remainder when 727409 is divided by 120.
Answer: 89
Prompt: What is the remainder when 10935 is divided by 258?
Answer: 99
Prompt: What is the remainder when 722065 is divided by 1347?
Answer: 73
Prompt: What is the remainder when 1100966 is divided by 549091?
Answer: 2784
Prompt: What is the remainder when 950 is divided by 470?
Answer: 10
Prompt: Calculate the remainder when 189 is divided by 8.
Answer: 5
Prompt: Calculate the remainder when 11744 is divided by 46.
Answer: 14
Prompt: Calculate the remainder when 306 is divided by 17.
Answer: 0
Prompt: What is the remainder when 484016 is divided by 3312?
Answer: 464
Prompt: Calculate th
|
english
|
numbers: is factor
------------------
Qn: Is 26 a factor of 3293720?
Final Answer: False
Qn: Is 27 a factor of 594?
Final Answer: True
Qn: Is 858 a multiple of 13?
Final Answer: True
Qn: Is 33287741 a multiple of 133?
Final Answer: False
Qn: Is 97674 a multiple of 176?
Final Answer: False
Qn: Is 1682494542 a multiple of 9?
Final Answer: True
Qn: Does 298 divide 455987?
Final Answer: False
Qn: Does 51 divide 4462053?
Final Answer: False
Qn: Is 6835 a factor of 1232712755?
Final Answer: True
Qn: Does 15 divide 211530?
Final Answer: True
Qn: Is 2689 a multiple of 4?
Final Answer: False
Qn: Is 410394904 a multiple of 47?
Final Answer: False
Qn: Is 4350 a factor of 1420035750?
Final Answer: True
Qn: Is 20768016 a multiple of 34?
Final Answer: True
Qn: Is 3 a factor of 357?
Final Answer: True
Qn: Does 12 divide 3060?
Final Answer: True
Qn: Is 115 a factor of 27835?
Final Answer: False
Qn: Is 35760 a multiple of 53?
Final Answer: False
Qn: Is 27202896 a multiple of 36?
Final Answer: True
Qn: Is 1007879576 a multiple of 488?
Final Answer: True
Qn: Is 535 a factor of 7845775?
Final Answer: True
Qn: Is 6232 a multiple of 80?
Final Answer: False
Qn: Is 116328 a multiple of 6?
Final Answer: True
Qn: Is 16 a factor of 2320?
Final Answer: True
Qn: Is 3202 a multiple of 19?
Final Answer: False
Qn: Does 91 divide 1344070?
Final Answer: True
Qn: Does 26 divide 18437778?
Final Answer: False
Qn: Is 15 a factor of 896702?
Final Answer: False
Qn: Does 158 divide 17539?
Final Answer: False
Qn: Is 33894 a multiple of 18?
Final Answer: True
Qn: Is 3642891135 a multiple of 64?
Final Answer: False
Qn: Is 148 a factor of 1708316631?
Final Answer: False
Qn: Is 11700 a multiple of 12?
Final Answer: True
Qn: Does 7 divide 842246174?
Final Answer: True
Qn: Is 82372 a multiple of 57?
Final Answer: False
Qn: Is 154 a factor of 2542400?
Final Answer: False
Qn: Is 579 a factor of 9462018?
Final Answer: True
Qn: Is 31 a factor of 16674295?
Final Answer: False
Qn: Is 201162 a multiple of 78?
Final Answ
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english
|
numbers: place value
--------------------
Situation: What is the hundreds digit of 900227?
Reply: 2
Situation: What is the units digit of 45509?
Reply: 9
Situation: What is the tens digit of 15999?
Reply: 9
Situation: What is the ten millions digit of 186231463?
Reply: 8
Situation: What is the ten thousands digit of 75331977?
Reply: 3
Situation: What is the hundreds digit of 88232?
Reply: 2
Situation: What is the hundreds digit of 1152?
Reply: 1
Situation: What is the thousands digit of 16724398?
Reply: 4
Situation: What is the tens digit of 2778040?
Reply: 4
Situation: What is the hundred thousands digit of 70463709?
Reply: 4
Situation: What is the hundreds digit of 435314?
Reply: 3
Situation: What is the thousands digit of 5917?
Reply: 5
Situation: What is the thousands digit of 448085?
Reply: 8
Situation: What is the tens digit of 1901510?
Reply: 1
Situation: What is the hundreds digit of 685?
Reply: 6
Situation: What is the ten thousands digit of 1394779273?
Reply: 7
Situation: What is the units digit of 1693733?
Reply: 3
Situation: What is the hundred thousands digit of 55842888?
Reply: 8
Situation: What is the ten thousands digit of 23656?
Reply: 2
Situation: What is the hundred thousands digit of 417628?
Reply: 4
Situation: What is the units digit of 222123?
Reply: 3
Situation: What is the millions digit of 1109264?
Reply: 1
Situation: What is the units digit of 14721492?
Reply: 2
Situation: What is the hundreds digit of 819?
Reply: 8
Situation: What is the ten thousands digit of 677593?
Reply: 7
Situation: What is the tens digit of 470479?
Reply: 7
Situation: What is the tens digit of 5137330?
Reply: 3
Situation: What is the units digit of 929?
Reply: 9
Situation: What is the tens digit of 1030764387?
Reply: 8
Situation: What is the units digit of 176373037?
Reply: 7
Situation: What is the millions digit of 1332057?
Reply: 1
Situation: What is the units digit of 189782?
Reply: 2
Situation: What is the units digit of 5675?
Reply: 5
Situation: What is the unit
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english
|
probability: swr p sequence
---------------------------
Test item: What is prob of sequence ddd when three letters picked without replacement from ddd?
Final Answer: 1
Test item: Three letters picked without replacement from {v: 16, m: 4}. What is prob of sequence vmv?
Final Answer: 8/57
Test item: Two letters picked without replacement from rkfffkfzfrfgfffffnkf. What is prob of sequence gz?
Final Answer: 1/380
Test item: Three letters picked without replacement from {q: 1, p: 2, h: 1, y: 1}. Give prob of sequence ppq.
Final Answer: 1/30
Test item: Calculate prob of sequence ht when two letters picked without replacement from {h: 1, n: 5, x: 5, t: 3, m: 2}.
Final Answer: 1/80
Test item: Three letters picked without replacement from {p: 3, v: 3, e: 3, k: 2, y: 1, l: 4}. What is prob of sequence lky?
Final Answer: 1/420
Test item: Calculate prob of sequence bik when three letters picked without replacement from kibkjub.
Final Answer: 2/105
Test item: Calculate prob of sequence ilb when three letters picked without replacement from fbirlii.
Final Answer: 1/70
Test item: What is prob of sequence tt when two letters picked without replacement from teetee?
Final Answer: 1/15
Test item: Calculate prob of sequence hhb when three letters picked without replacement from bbhbbbbbbbhbbbbbbb.
Final Answer: 1/153
Test item: Three letters picked without replacement from oossooooo. What is prob of sequence sos?
Final Answer: 1/36
Test item: What is prob of sequence ad when two letters picked without replacement from ydppyayyyyyywywy?
Final Answer: 1/240
Test item: Four letters picked without replacement from {t: 2, u: 3, p: 4, e: 2, y: 1}. Give prob of sequence ppyp.
Final Answer: 1/495
Test item: What is prob of sequence fm when two letters picked without replacement from suussfssvfsswm?
Final Answer: 1/91
Test item: What is prob of sequence kyky when four letters picked without replacement from {k: 6, r: 1, y: 7}?
Final Answer: 15/286
Test item: Calculate prob of sequence bbbb wh
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english
|
probability: swr p sequence
---------------------------
Exercise: Calculate prob of sequence zgs when three letters picked without replacement from zszjggjgsszgjjgs.
→: 1/56
Exercise: Calculate prob of sequence ozm when three letters picked without replacement from myzzzmo.
→: 1/35
Exercise: Two letters picked without replacement from {k: 9, l: 5}. Give prob of sequence kk.
→: 36/91
Exercise: What is prob of sequence aha when three letters picked without replacement from najajahjnj?
→: 1/120
Exercise: What is prob of sequence gdm when three letters picked without replacement from {d: 7, m: 1, h: 7, g: 1}?
→: 1/480
Exercise: Calculate prob of sequence rm when two letters picked without replacement from jmjjrjjjj.
→: 1/72
Exercise: What is prob of sequence fck when three letters picked without replacement from {c: 1, k: 1, f: 2, y: 1, g: 1, x: 1}?
→: 1/105
Exercise: Two letters picked without replacement from {v: 4, t: 3, z: 5, s: 4}. What is prob of sequence ts?
→: 1/20
Exercise: Calculate prob of sequence xw when two letters picked without replacement from wjkkxam.
→: 1/42
Exercise: Two letters picked without replacement from {l: 1, n: 3, m: 5, b: 3}. Give prob of sequence lb.
→: 1/44
Exercise: Three letters picked without replacement from {m: 2, z: 4, f: 4, q: 1, b: 3}. Give prob of sequence mzm.
→: 1/273
Exercise: Two letters picked without replacement from yosye. Give prob of sequence yo.
→: 1/10
Exercise: Calculate prob of sequence aau when three letters picked without replacement from bbaapbu.
→: 1/105
Exercise: What is prob of sequence krxr when four letters picked without replacement from rrxrk?
→: 1/20
Exercise: Calculate prob of sequence ouy when three letters picked without replacement from {e: 1, o: 7, y: 3, v: 1, u: 1}.
→: 7/572
Exercise: Three letters picked without replacement from kklkkkkklkl. Give prob of sequence kkk.
→: 56/165
Exercise: Two letters picked without replacement from zezzmzzzvseezve. Give prob of sequence ee.
→: 2/35
Exercise: Three le
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english
|
arithmetic: nearest integer root
--------------------------------
Example: What is the square root of 413 to the nearest integer?
Steps: 20
Example: What is the seventh root of 27887507 to the nearest integer?
Steps: 12
Example: What is the cube root of 7998 to the nearest integer?
Steps: 20
Example: What is the square root of 1693851 to the nearest integer?
Steps: 1301
Example: What is 1348770 to the power of 1/2, to the nearest integer?
Steps: 1161
Example: What is 60131853 to the power of 1/3, to the nearest integer?
Steps: 392
Example: What is 2529 to the power of 1/2, to the nearest integer?
Steps: 50
Example: What is the ninth root of 851358143 to the nearest integer?
Steps: 10
Example: What is the fifth root of 34981738 to the nearest integer?
Steps: 32
Example: What is 383 to the power of 1/6, to the nearest integer?
Steps: 3
Example: What is the cube root of 614 to the nearest integer?
Steps: 8
Example: What is the fifth root of 337706042 to the nearest integer?
Steps: 51
Example: What is 11614 to the power of 1/10, to the nearest integer?
Steps: 3
Example: What is 156364 to the power of 1/5, to the nearest integer?
Steps: 11
Example: What is the third root of 179693 to the nearest integer?
Steps: 56
Example: What is the tenth root of 656504300 to the nearest integer?
Steps: 8
Example: What is the cube root of 330450 to the nearest integer?
Steps: 69
Example: What is 13710 to the power of 1/5, to the nearest integer?
Steps: 7
Example: What is the cube root of 3207 to the nearest integer?
Steps: 15
Example: What is 280694231 to the power of 1/8, to the nearest integer?
Steps: 11
Example: What is 190922424 to the power of 1/6, to the nearest integer?
Steps: 24
Example: What is the square root of 133917218 to the nearest integer?
Steps: 11572
Example: What is 182655040 to the power of 1/2, to the nearest integer?
Steps: 13515
Example: What is the third root of 87602 to the nearest integer?
Steps: 44
Example: What is the cube root of 2834 to the nearest integer
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english
|
numbers: gcd
------------
Situation: Calculate the greatest common divisor of 27 and 10779.
Fix: 3
Situation: Calculate the greatest common factor of 96811 and 12571.
Fix: 13
Situation: What is the greatest common divisor of 15006500 and 10?
Fix: 10
Situation: What is the greatest common divisor of 1260 and 980?
Fix: 140
Situation: What is the greatest common divisor of 8019 and 38291?
Fix: 11
Situation: What is the highest common divisor of 94770 and 5832?
Fix: 1458
Situation: Calculate the highest common divisor of 32 and 15536.
Fix: 16
Situation: What is the highest common divisor of 111837 and 1485?
Fix: 33
Situation: Calculate the highest common divisor of 16058 and 992.
Fix: 62
Situation: Calculate the highest common factor of 4489395 and 2220.
Fix: 555
Situation: What is the highest common divisor of 5415 and 75?
Fix: 15
Situation: Calculate the greatest common divisor of 13 and 4.
Fix: 1
Situation: What is the highest common divisor of 340316 and 1713?
Fix: 571
Situation: What is the highest common factor of 4708876 and 16?
Fix: 4
Situation: What is the highest common factor of 2337 and 57?
Fix: 57
Situation: Calculate the highest common divisor of 17225 and 64675.
Fix: 325
Situation: What is the greatest common factor of 1625 and 14125?
Fix: 125
Situation: Calculate the greatest common divisor of 832 and 192.
Fix: 64
Situation: What is the highest common factor of 484 and 44?
Fix: 44
Situation: What is the greatest common factor of 3150 and 20403450?
Fix: 450
Situation: What is the highest common factor of 272 and 18564?
Fix: 68
Situation: What is the highest common divisor of 136910 and 20?
Fix: 10
Situation: What is the greatest common factor of 1421 and 20020273?
Fix: 49
Situation: What is the greatest common factor of 1 and 99?
Fix: 1
Situation: Calculate the highest common factor of 966 and 168.
Fix: 42
Situation: What is the highest common divisor of 109833 and 6?
Fix: 3
Situation: Calculate the highest common divisor of 4 and 116.
Fix: 4
Situation: C
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english
|
arithmetic: nearest integer root
--------------------------------
Prompt: What is the third root of 186817496 to the nearest integer?
Sol: 572
Prompt: What is 8648694 to the power of 1/2, to the nearest integer?
Sol: 2941
Prompt: What is the square root of 58360667 to the nearest integer?
Sol: 7639
Prompt: What is the square root of 2816567467 to the nearest integer?
Sol: 53071
Prompt: What is 2665358159 to the power of 1/2, to the nearest integer?
Sol: 51627
Prompt: What is the third root of 1962 to the nearest integer?
Sol: 13
Prompt: What is the fifth root of 1580042488 to the nearest integer?
Sol: 69
Prompt: What is the fifth root of 93061 to the nearest integer?
Sol: 10
Prompt: What is the ninth root of 88287655 to the nearest integer?
Sol: 8
Prompt: What is the square root of 1132000943 to the nearest integer?
Sol: 33645
Prompt: What is 252769 to the power of 1/2, to the nearest integer?
Sol: 503
Prompt: What is the square root of 11010909 to the nearest integer?
Sol: 3318
Prompt: What is 1422 to the power of 1/7, to the nearest integer?
Sol: 3
Prompt: What is the third root of 20375875 to the nearest integer?
Sol: 273
Prompt: What is the tenth root of 3537789 to the nearest integer?
Sol: 5
Prompt: What is the square root of 1106691419 to the nearest integer?
Sol: 33267
Prompt: What is the square root of 3038 to the nearest integer?
Sol: 55
Prompt: What is the cube root of 4986938040 to the nearest integer?
Sol: 1708
Prompt: What is the third root of 773427176 to the nearest integer?
Sol: 918
Prompt: What is the tenth root of 226140 to the nearest integer?
Sol: 3
Prompt: What is the cube root of 2719051729 to the nearest integer?
Sol: 1396
Prompt: What is the cube root of 187939893 to the nearest integer?
Sol: 573
Prompt: What is the third root of 2971097 to the nearest integer?
Sol: 144
Prompt: What is the third root of 100691 to the nearest integer?
Sol: 47
Prompt: What is the third root of 1331670 to the nearest integer?
Sol: 110
Prompt: What is the cube ro
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english
|
measurement: time
-----------------
Given: How many minutes are there between 2:58 PM and 10:36 PM?
Explanation: 458
Given: How many minutes are there between 9:58 AM and 10:08 AM?
Explanation: 10
Given: How many minutes are there between 2:07 PM and 2:13 PM?
Explanation: 6
Given: What is 708 minutes before 11:51 AM?
Explanation: 12:03 AM
Given: How many minutes are there between 7:27 PM and 2:08 AM?
Explanation: 401
Given: What is 141 minutes before 2:42 AM?
Explanation: 12:21 AM
Given: What is 302 minutes after 9:50 AM?
Explanation: 2:52 PM
Given: What is 63 minutes before 12:42 AM?
Explanation: 11:39 PM
Given: What is 715 minutes after 12:37 PM?
Explanation: 12:32 AM
Given: What is 53 minutes before 5:05 AM?
Explanation: 4:12 AM
Given: How many minutes are there between 11:28 PM and 10:47 AM?
Explanation: 679
Given: What is 115 minutes after 1:36 AM?
Explanation: 3:31 AM
Given: How many minutes are there between 10:47 AM and 12:57 PM?
Explanation: 130
Given: How many minutes are there between 6:00 PM and 1:38 AM?
Explanation: 458
Given: What is 246 minutes before 5:23 AM?
Explanation: 1:17 AM
Given: How many minutes are there between 3:52 PM and 12:13 AM?
Explanation: 501
Given: What is 344 minutes after 11:17 AM?
Explanation: 5:01 PM
Given: How many minutes are there between 8:28 PM and 11:02 PM?
Explanation: 154
Given: How many minutes are there between 3:46 PM and 1:35 AM?
Explanation: 589
Given: What is 117 minutes after 9:23 AM?
Explanation: 11:20 AM
Given: How many minutes are there between 6:08 PM and 2:10 AM?
Explanation: 482
Given: What is 538 minutes after 11:14 PM?
Explanation: 8:12 AM
Given: How many minutes are there between 10:40 AM and 6:18 PM?
Explanation: 458
Given: What is 678 minutes before 3:41 PM?
Explanation: 4:23 AM
Given: How many minutes are there between 12:18 AM and 12:00 PM?
Explanation: 702
Given: How many minutes are there between 3:14 PM and 4:10 PM?
Explanation: 56
Given: What is 237 minutes before 2:30 AM?
Explanation: 10:33 PM
Gi
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english
|
probability: swr p sequence
---------------------------
Example: Two letters picked without replacement from {m: 3, x: 3, o: 7}. What is prob of sequence mm?
Ans: 1/26
Example: What is prob of sequence ms when two letters picked without replacement from {k: 1, h: 2, m: 5, s: 3, o: 1}?
Ans: 5/44
Example: Calculate prob of sequence vu when two letters picked without replacement from vuouy.
Ans: 1/10
Example: Two letters picked without replacement from lllkiiiilllulqls. What is prob of sequence qi?
Ans: 1/60
Example: Calculate prob of sequence xxx when three letters picked without replacement from xxxxxx.
Ans: 1
Example: What is prob of sequence aj when two letters picked without replacement from lfijual?
Ans: 1/42
Example: Two letters picked without replacement from {r: 10, w: 3, j: 1, e: 1}. What is prob of sequence er?
Ans: 1/21
Example: Two letters picked without replacement from {c: 1, n: 1, i: 2, t: 2}. Give prob of sequence ni.
Ans: 1/15
Example: What is prob of sequence wwwp when four letters picked without replacement from {w: 4, p: 13, g: 3}?
Ans: 13/4845
Example: Four letters picked without replacement from akcnkkkwkkwwdwww. What is prob of sequence ndwk?
Ans: 3/3640
Example: Calculate prob of sequence uppq when four letters picked without replacement from qpbupppxpu.
Ans: 1/126
Example: Calculate prob of sequence qy when two letters picked without replacement from yqyqyyyqyyyyyq.
Ans: 20/91
Example: What is prob of sequence xgo when three letters picked without replacement from {x: 5, o: 1, y: 8, g: 2}?
Ans: 1/336
Example: Four letters picked without replacement from znaazbbaabaabbaaya. Give prob of sequence nayb.
Ans: 1/1632
Example: What is prob of sequence mmwm when four letters picked without replacement from mwwmwwmmwwwwmw?
Ans: 45/2002
Example: Calculate prob of sequence hff when three letters picked without replacement from {a: 1, w: 3, y: 3, h: 1, z: 7, f: 2}.
Ans: 1/2040
Example: Calculate prob of sequence rbxx when four letters picked without repl
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probability: swr p sequence
---------------------------
Input: Four letters picked without replacement from eesexesxseeeseex. What is prob of sequence sxxe?
Conclusion: 9/1820
Input: Calculate prob of sequence wt when two letters picked without replacement from wtowwwwttowoc.
Conclusion: 3/26
Input: What is prob of sequence iij when three letters picked without replacement from miimqjqimmjmjmqirmq?
Conclusion: 2/323
Input: Four letters picked without replacement from llzzlzlzllaa. What is prob of sequence zala?
Conclusion: 2/495
Input: What is prob of sequence eum when three letters picked without replacement from {g: 3, e: 4, u: 1, l: 4, a: 1, m: 7}?
Conclusion: 7/1710
Input: What is prob of sequence ouux when four letters picked without replacement from {u: 2, x: 3, c: 9, o: 2, p: 1}?
Conclusion: 1/4760
Input: Four letters picked without replacement from {y: 1, r: 1, l: 2, p: 1, c: 4}. What is prob of sequence ycpl?
Conclusion: 1/378
Input: Two letters picked without replacement from {x: 1, a: 1, h: 1}. Give prob of sequence xa.
Conclusion: 1/6
Input: What is prob of sequence unx when three letters picked without replacement from yuyyuyeuuqyunnnnquxn?
Conclusion: 1/228
Input: What is prob of sequence uu when two letters picked without replacement from {a: 3, u: 5, g: 1}?
Conclusion: 5/18
Input: Four letters picked without replacement from zzozozzzzoz. What is prob of sequence zzzz?
Conclusion: 7/33
Input: Calculate prob of sequence jl when two letters picked without replacement from qtbqtflqqjjqtqj.
Conclusion: 1/70
Input: Four letters picked without replacement from ydkywwyyyykzqkkykzk. What is prob of sequence dqzd?
Conclusion: 0
Input: Four letters picked without replacement from ttttkkktttkttktktt. Give prob of sequence ttkk.
Conclusion: 11/204
Input: Two letters picked without replacement from sqszssfl. Give prob of sequence lq.
Conclusion: 1/56
Input: Two letters picked without replacement from ppxpiip. Give prob of sequence xp.
Conclusion: 2/21
Input: What
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numbers: is factor
------------------
Ask: Does 555 divide 18650775?
Response: True
Ask: Is 11 a factor of 43472?
Response: True
Ask: Does 24 divide 1443144?
Response: True
Ask: Is 9 a factor of 297?
Response: True
Ask: Is 3008 a multiple of 47?
Response: True
Ask: Is 2580 a multiple of 129?
Response: True
Ask: Does 6 divide 43858?
Response: False
Ask: Is 32511 a multiple of 12?
Response: False
Ask: Does 16 divide 355712?
Response: True
Ask: Is 4 a factor of 49742?
Response: False
Ask: Is 17938414 a multiple of 29?
Response: True
Ask: Is 692900452 a multiple of 2232?
Response: False
Ask: Is 1454 a factor of 1208205662?
Response: True
Ask: Does 51 divide 233937?
Response: True
Ask: Is 79 a factor of 77049?
Response: False
Ask: Is 2346398419 a multiple of 1117?
Response: False
Ask: Does 60 divide 2160?
Response: True
Ask: Does 12 divide 136608?
Response: True
Ask: Is 11016 a multiple of 20?
Response: False
Ask: Is 23 a factor of 527758?
Response: True
Ask: Is 8134 a multiple of 114?
Response: False
Ask: Is 694 a multiple of 28?
Response: False
Ask: Does 771 divide 1349250?
Response: True
Ask: Is 290808344 a multiple of 17?
Response: False
Ask: Does 94 divide 752?
Response: True
Ask: Is 90209795 a multiple of 415?
Response: True
Ask: Is 1531734 a multiple of 23?
Response: False
Ask: Is 26 a factor of 214177801?
Response: False
Ask: Is 8 a factor of 75880?
Response: True
Ask: Is 19 a factor of 5196?
Response: False
Ask: Is 8281 a multiple of 6?
Response: False
Ask: Does 123 divide 3274067259?
Response: True
Ask: Does 39 divide 2496?
Response: True
Ask: Is 13 a factor of 33826?
Response: True
Ask: Is 5950980 a multiple of 9?
Response: True
Ask: Is 10619 a multiple of 58?
Response: False
Ask: Is 1741848950 a multiple of 257?
Response: False
Ask: Is 110513362 a multiple of 6?
Response: False
Ask: Is 43 a factor of 1048?
Response: False
Ask: Is 408 a multiple of 8?
Response: True
Ask: Is 27 a factor of 32233302?
Response: True
Ask: Does 20 divide 11800?
Response: True
Ask:
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numbers: gcd
------------
Situation: What is the greatest common divisor of 2094 and 199279?
Clarification: 349
Situation: Calculate the highest common divisor of 1302 and 86676.
Clarification: 186
Situation: What is the greatest common divisor of 209668 and 39836?
Clarification: 92
Situation: What is the greatest common divisor of 1463 and 19?
Clarification: 19
Situation: What is the highest common factor of 12861 and 30555?
Clarification: 9
Situation: What is the highest common factor of 16021 and 3031?
Clarification: 433
Situation: What is the highest common factor of 25124 and 76032?
Clarification: 44
Situation: Calculate the greatest common divisor of 9625 and 174405.
Clarification: 385
Situation: Calculate the highest common divisor of 676 and 9880.
Clarification: 52
Situation: Calculate the highest common factor of 1024 and 82340544.
Clarification: 64
Situation: What is the highest common factor of 17 and 2856?
Clarification: 17
Situation: Calculate the highest common factor of 2 and 2.
Clarification: 2
Situation: What is the greatest common divisor of 43450096 and 3162?
Clarification: 1054
Situation: Calculate the highest common divisor of 108920 and 10360.
Clarification: 280
Situation: What is the greatest common divisor of 240 and 8051160?
Clarification: 120
Situation: Calculate the greatest common divisor of 91392640 and 61.
Clarification: 61
Situation: Calculate the greatest common divisor of 4997 and 155161847.
Clarification: 4997
Situation: Calculate the highest common divisor of 444261 and 5270.
Clarification: 527
Situation: Calculate the greatest common factor of 302022 and 1197.
Clarification: 63
Situation: Calculate the highest common divisor of 35 and 623.
Clarification: 7
Situation: Calculate the greatest common factor of 4400 and 33.
Clarification: 11
Situation: What is the highest common divisor of 14 and 8218?
Clarification: 14
Situation: Calculate the greatest common factor of 8 and 12632.
Clarification: 8
Situation: What is the highest commo
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probability: swr p sequence
---------------------------
Example: Calculate prob of sequence tt when two letters picked without replacement from eeteeeeeeeeexttee.
Workthrough: 3/136
Example: Two letters picked without replacement from jnnjjjjjjjjnjjjjjjjj. Give prob of sequence nn.
Workthrough: 3/190
Example: What is prob of sequence aja when three letters picked without replacement from {b: 6, j: 1, a: 7}?
Workthrough: 1/52
Example: What is prob of sequence ffbm when four letters picked without replacement from bffmbmmffmfmfbmffm?
Workthrough: 49/3060
Example: Three letters picked without replacement from {q: 4, f: 1, x: 3}. What is prob of sequence qqx?
Workthrough: 3/28
Example: Three letters picked without replacement from {g: 3, x: 2, o: 1, q: 1, e: 3}. Give prob of sequence goe.
Workthrough: 1/80
Example: What is prob of sequence rv when two letters picked without replacement from rvrvvyyrrrryy?
Workthrough: 3/26
Example: Calculate prob of sequence quv when three letters picked without replacement from oukuuokuqcvv.
Workthrough: 1/165
Example: What is prob of sequence eb when two letters picked without replacement from bbrqbewlwebl?
Workthrough: 2/33
Example: Calculate prob of sequence hzlh when four letters picked without replacement from {l: 2, x: 2, h: 2, z: 2}.
Workthrough: 1/210
Example: What is prob of sequence dd when two letters picked without replacement from {d: 6}?
Workthrough: 1
Example: Calculate prob of sequence les when three letters picked without replacement from {e: 1, s: 1, f: 1, l: 3, r: 1}.
Workthrough: 1/70
Example: Calculate prob of sequence mm when two letters picked without replacement from {q: 11, o: 1, m: 7}.
Workthrough: 7/57
Example: What is prob of sequence ccc when three letters picked without replacement from ccccc?
Workthrough: 1
Example: Calculate prob of sequence mkme when four letters picked without replacement from {q: 1, e: 3, m: 5, k: 2, l: 7, b: 2}.
Workthrough: 1/969
Example: Two letters picked without replacement from
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numbers: is prime
-----------------
Prompt: Is 3256621 a prime number?
Result: True
Prompt: Is 3727901699 a composite number?
Result: False
Prompt: Is 2085825527 prime?
Result: True
Prompt: Is 126409 composite?
Result: True
Prompt: Is 158 a composite number?
Result: True
Prompt: Is 326613765557 a prime number?
Result: True
Prompt: Is 3343 prime?
Result: True
Prompt: Is 333215 composite?
Result: True
Prompt: Is 11138219 a prime number?
Result: False
Prompt: Is 88851977 a composite number?
Result: False
Prompt: Is 1565680657 prime?
Result: True
Prompt: Is 274403 a composite number?
Result: False
Prompt: Is 23251 prime?
Result: True
Prompt: Is 102715057 a composite number?
Result: True
Prompt: Is 877732033 prime?
Result: False
Prompt: Is 31677 a composite number?
Result: True
Prompt: Is 5157631 a composite number?
Result: True
Prompt: Is 15037879 a composite number?
Result: False
Prompt: Is 23301099163 composite?
Result: False
Prompt: Is 214751 prime?
Result: False
Prompt: Is 4993601 prime?
Result: False
Prompt: Is 437193479 a prime number?
Result: False
Prompt: Is 1502 prime?
Result: False
Prompt: Is 68525111 composite?
Result: False
Prompt: Is 137559 a prime number?
Result: False
Prompt: Is 233536548319 prime?
Result: True
Prompt: Is 757 prime?
Result: True
Prompt: Is 188565509 prime?
Result: False
Prompt: Is 15866 composite?
Result: True
Prompt: Is 15005219 prime?
Result: True
Prompt: Is 35874994 a composite number?
Result: True
Prompt: Is 19483 prime?
Result: True
Prompt: Is 87793769 a composite number?
Result: True
Prompt: Is 18453 prime?
Result: False
Prompt: Is 3043 a prime number?
Result: False
Prompt: Is 66044443 prime?
Result: True
Prompt: Is 248711 prime?
Result: False
Prompt: Is 76073 a composite number?
Result: True
Prompt: Is 143119429 a composite number?
Result: True
Prompt: Is 3047263487 a prime number?
Result: True
Prompt: Is 62357741 a composite number?
Result: False
Prompt: Is 234587 a prime number?
Result: True
Prompt: Is 76325011 a composite number
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numbers: place value
--------------------
What if: What is the ten millions digit of 896607438?
Answer: 9
What if: What is the thousands digit of 28501787?
Answer: 1
What if: What is the thousands digit of 2489684?
Answer: 9
What if: What is the units digit of 929?
Answer: 9
What if: What is the ten thousands digit of 851111?
Answer: 5
What if: What is the hundreds digit of 31523?
Answer: 5
What if: What is the ten thousands digit of 256076078?
Answer: 7
What if: What is the hundred millions digit of 2293539239?
Answer: 2
What if: What is the thousands digit of 70729?
Answer: 0
What if: What is the thousands digit of 117279228?
Answer: 9
What if: What is the hundreds digit of 38099?
Answer: 0
What if: What is the ten thousands digit of 70924?
Answer: 7
What if: What is the hundreds digit of 125213?
Answer: 2
What if: What is the hundreds digit of 19794?
Answer: 7
What if: What is the hundred thousands digit of 1953432?
Answer: 9
What if: What is the ten thousands digit of 53427632?
Answer: 2
What if: What is the units digit of 1085067?
Answer: 7
What if: What is the tens digit of 26641?
Answer: 4
What if: What is the thousands digit of 561444?
Answer: 1
What if: What is the hundreds digit of 599?
Answer: 5
What if: What is the hundreds digit of 886196872?
Answer: 8
What if: What is the tens digit of 26274750?
Answer: 5
What if: What is the units digit of 260868?
Answer: 8
What if: What is the thousands digit of 5562674?
Answer: 2
What if: What is the tens digit of 411?
Answer: 1
What if: What is the thousands digit of 2929416?
Answer: 9
What if: What is the ten millions digit of 142798309?
Answer: 4
What if: What is the ten thousands digit of 2327202?
Answer: 2
What if: What is the ten millions digit of 221858563?
Answer: 2
What if: What is the hundreds digit of 2748?
Answer: 7
What if: What is the tens digit of 25117?
Answer: 1
What if: What is the millions digit of 76470175?
Answer: 6
What if: What is the hundred thousands digit of 2332584516?
Answer: 5
What if: W
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english
|
numbers: is prime
-----------------
Let: Is 3504233 a prime number?
Derivation: False
Let: Is 22109 a prime number?
Derivation: True
Let: Is 4894933 composite?
Derivation: False
Let: Is 152127329 prime?
Derivation: True
Let: Is 6637 a composite number?
Derivation: False
Let: Is 1671809521 a prime number?
Derivation: True
Let: Is 34483 a prime number?
Derivation: True
Let: Is 7723 composite?
Derivation: False
Let: Is 23667001 a prime number?
Derivation: False
Let: Is 46993 composite?
Derivation: False
Let: Is 8279 a composite number?
Derivation: True
Let: Is 9452789 a composite number?
Derivation: True
Let: Is 228583 a prime number?
Derivation: False
Let: Is 275203 a prime number?
Derivation: False
Let: Is 60179 prime?
Derivation: False
Let: Is 809094673 composite?
Derivation: True
Let: Is 123943279 prime?
Derivation: True
Let: Is 5537436313 a prime number?
Derivation: True
Let: Is 30347 a prime number?
Derivation: True
Let: Is 959859829 prime?
Derivation: True
Let: Is 162650606 a composite number?
Derivation: True
Let: Is 934876549 a composite number?
Derivation: True
Let: Is 2170979 a prime number?
Derivation: False
Let: Is 1543 a composite number?
Derivation: False
Let: Is 43154457889 a composite number?
Derivation: False
Let: Is 8423953 prime?
Derivation: True
Let: Is 51232039 prime?
Derivation: True
Let: Is 108451657 a prime number?
Derivation: False
Let: Is 251609 a composite number?
Derivation: False
Let: Is 6328057 composite?
Derivation: True
Let: Is 71259 a prime number?
Derivation: False
Let: Is 317 prime?
Derivation: True
Let: Is 1470942701 a prime number?
Derivation: False
Let: Is 90745 prime?
Derivation: False
Let: Is 1165481 prime?
Derivation: False
Let: Is 1087285 composite?
Derivation: True
Let: Is 222510513 a composite number?
Derivation: True
Let: Is 1074329 composite?
Derivation: False
Let: Is 1270294 composite?
Derivation: True
Let: Is 5227 composite?
Derivation: False
Let: Is 35762159179 a prime number?
Derivation: True
Let: Is 476698199 composit
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english
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numbers: gcd
------------
Given: Calculate the greatest common divisor of 196 and 19530763.
Conclusion: 49
Given: Calculate the highest common divisor of 235329 and 9318027.
Conclusion: 5007
Given: What is the greatest common divisor of 252 and 54?
Conclusion: 18
Given: What is the greatest common divisor of 1892 and 286?
Conclusion: 22
Given: What is the highest common factor of 220 and 2255?
Conclusion: 55
Given: What is the greatest common factor of 265430 and 5890?
Conclusion: 190
Given: Calculate the greatest common factor of 68 and 56416591.
Conclusion: 17
Given: What is the highest common divisor of 5 and 55?
Conclusion: 5
Given: Calculate the highest common factor of 528 and 12.
Conclusion: 12
Given: What is the highest common factor of 76 and 95?
Conclusion: 19
Given: What is the greatest common factor of 32 and 1?
Conclusion: 1
Given: What is the greatest common factor of 2126 and 2?
Conclusion: 2
Given: What is the greatest common divisor of 33 and 4675?
Conclusion: 11
Given: Calculate the highest common divisor of 2451 and 3071232.
Conclusion: 129
Given: Calculate the greatest common divisor of 132 and 11154.
Conclusion: 66
Given: What is the greatest common divisor of 249198 and 246?
Conclusion: 246
Given: Calculate the greatest common divisor of 4341 and 3930.
Conclusion: 3
Given: Calculate the highest common divisor of 3998448 and 36.
Conclusion: 36
Given: What is the greatest common factor of 2716550417 and 7?
Conclusion: 7
Given: Calculate the highest common factor of 1074 and 63967440.
Conclusion: 1074
Given: What is the greatest common divisor of 7275 and 582?
Conclusion: 291
Given: Calculate the highest common factor of 921 and 1965136779.
Conclusion: 921
Given: What is the greatest common factor of 771 and 3479523?
Conclusion: 771
Given: Calculate the highest common divisor of 2744 and 136.
Conclusion: 8
Given: Calculate the highest common divisor of 102315 and 160455.
Conclusion: 285
Given: Calculate the greatest common divisor of 139260 and 10
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english
|
numbers: is prime
-----------------
Query: Is 2503 composite?
Yields: False
Query: Is 2812767 a composite number?
Yields: True
Query: Is 621983 a composite number?
Yields: False
Query: Is 1071803261 a composite number?
Yields: False
Query: Is 202565309 composite?
Yields: False
Query: Is 2879307667 a prime number?
Yields: True
Query: Is 437975003 prime?
Yields: False
Query: Is 1716599 a prime number?
Yields: True
Query: Is 89687 prime?
Yields: False
Query: Is 15399618137 composite?
Yields: False
Query: Is 1049 prime?
Yields: True
Query: Is 2533197949 a prime number?
Yields: False
Query: Is 14904177 composite?
Yields: True
Query: Is 88890033 prime?
Yields: False
Query: Is 415901 prime?
Yields: True
Query: Is 37992397 composite?
Yields: False
Query: Is 1423574371 a composite number?
Yields: True
Query: Is 3123722765 prime?
Yields: False
Query: Is 64145720663 a composite number?
Yields: False
Query: Is 8400457303 a prime number?
Yields: False
Query: Is 344291599 prime?
Yields: False
Query: Is 10954 a prime number?
Yields: False
Query: Is 28001 composite?
Yields: False
Query: Is 12925319 a prime number?
Yields: False
Query: Is 27157027 a prime number?
Yields: True
Query: Is 15833569 composite?
Yields: True
Query: Is 18227147 a prime number?
Yields: True
Query: Is 46477 composite?
Yields: False
Query: Is 1270407377 composite?
Yields: False
Query: Is 2597417 composite?
Yields: True
Query: Is 7743693223 composite?
Yields: True
Query: Is 47356580597 prime?
Yields: True
Query: Is 34321 a prime number?
Yields: False
Query: Is 981979811 a prime number?
Yields: False
Query: Is 653183079 composite?
Yields: True
Query: Is 338278475523 a prime number?
Yields: False
Query: Is 1700285681 prime?
Yields: True
Query: Is 172279 composite?
Yields: False
Query: Is 3482566201 a composite number?
Yields: False
Query: Is 62367 a composite number?
Yields: True
Query: Is 813871 a composite number?
Yields: False
Query: Is 118453 a prime number?
Yields: True
Query: Is 22804261 prime?
Yields: Fals
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english
|
measurement: time
-----------------
Request: How many minutes are there between 7:22 AM and 1:34 PM?
Response: 372
Request: What is 623 minutes after 7:26 PM?
Response: 5:49 AM
Request: How many minutes are there between 5:18 PM and 7:46 PM?
Response: 148
Request: How many minutes are there between 2:59 AM and 10:46 AM?
Response: 467
Request: How many minutes are there between 11:05 AM and 10:49 PM?
Response: 704
Request: What is 532 minutes after 12:28 PM?
Response: 9:20 PM
Request: What is 56 minutes after 8:07 PM?
Response: 9:03 PM
Request: How many minutes are there between 5:12 AM and 3:21 PM?
Response: 609
Request: How many minutes are there between 11:56 PM and 10:51 AM?
Response: 655
Request: How many minutes are there between 2:31 PM and 6:56 PM?
Response: 265
Request: How many minutes are there between 1:31 AM and 2:34 AM?
Response: 63
Request: What is 689 minutes after 4:38 PM?
Response: 4:07 AM
Request: What is 250 minutes after 7:36 PM?
Response: 11:46 PM
Request: What is 249 minutes before 9:51 PM?
Response: 5:42 PM
Request: How many minutes are there between 5:39 AM and 11:34 AM?
Response: 355
Request: How many minutes are there between 2:28 PM and 1:45 AM?
Response: 677
Request: What is 20 minutes before 12:23 AM?
Response: 12:03 AM
Request: What is 303 minutes before 11:45 PM?
Response: 6:42 PM
Request: What is 67 minutes after 1:22 PM?
Response: 2:29 PM
Request: How many minutes are there between 5:33 AM and 8:44 AM?
Response: 191
Request: How many minutes are there between 6:11 PM and 12:17 AM?
Response: 366
Request: How many minutes are there between 3:57 AM and 2:06 PM?
Response: 609
Request: How many minutes are there between 6:45 AM and 10:08 AM?
Response: 203
Request: What is 388 minutes before 8:58 AM?
Response: 2:30 AM
Request: How many minutes are there between 1:52 PM and 1:12 AM?
Response: 680
Request: What is 136 minutes after 6:51 PM?
Response: 9:07 PM
Request: How many minutes are there between 12:23 AM and 2:04 AM?
Response: 101
Requ
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english
|
probability: swr p level set
----------------------------
Q): Calculate prob of picking 1 y and 2 h when three letters picked without replacement from {g: 6, f: 8, y: 1, h: 3}.
Answer: 1/272
Q): Two letters picked without replacement from {l: 3, i: 4, n: 1}. What is prob of picking 2 l?
Answer: 3/28
Q): Calculate prob of picking 4 r when four letters picked without replacement from {r: 5, m: 4, j: 3, f: 4}.
Answer: 1/364
Q): Three letters picked without replacement from rrqqqrqqrqz. Give prob of picking 3 q.
Answer: 4/33
Q): Calculate prob of picking 2 t when two letters picked without replacement from {t: 3, k: 1, h: 3, p: 3, d: 1}.
Answer: 3/55
Q): Four letters picked without replacement from {q: 3, n: 15, e: 2}. What is prob of picking 1 n and 3 q?
Answer: 1/323
Q): Calculate prob of picking 1 d, 1 u, 1 f, and 1 y when four letters picked without replacement from {d: 1, h: 1, u: 4, y: 3, e: 2, f: 1}.
Answer: 4/165
Q): Two letters picked without replacement from {t: 6, o: 2, g: 1, j: 8, k: 1}. What is prob of picking 1 k and 1 g?
Answer: 1/153
Q): Two letters picked without replacement from {d: 3, g: 4, p: 6}. What is prob of picking 1 d and 1 g?
Answer: 2/13
Q): What is prob of picking 1 w, 1 r, and 1 m when three letters picked without replacement from aaxkaxxamxmrkwkamkaa?
Answer: 1/380
Q): Calculate prob of picking 4 g when four letters picked without replacement from gixgihhgggghgghg.
Answer: 9/130
Q): Calculate prob of picking 1 p and 1 v when two letters picked without replacement from vmp.
Answer: 1/3
Q): Calculate prob of picking 2 w when two letters picked without replacement from wwyhkyyhqwwywh.
Answer: 10/91
Q): Two letters picked without replacement from {q: 2, x: 9, j: 2, i: 5, k: 2}. What is prob of picking 1 j and 1 i?
Answer: 1/19
Q): What is prob of picking 1 f and 1 r when two letters picked without replacement from {b: 2, r: 1, p: 3, f: 1, a: 3, y: 1}?
Answer: 1/55
Q): Three letters picked without replacement from jtxvxtxxwvtsxvtxsv. Give prob
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english
|
numbers: place value
--------------------
Issue: What is the hundreds digit of 3270?
Soln: 2
Issue: What is the units digit of 52199?
Soln: 9
Issue: What is the thousands digit of 2142?
Soln: 2
Issue: What is the thousands digit of 7341?
Soln: 7
Issue: What is the thousands digit of 1164?
Soln: 1
Issue: What is the hundred millions digit of 211025584?
Soln: 2
Issue: What is the thousands digit of 36423?
Soln: 6
Issue: What is the millions digit of 176818968?
Soln: 6
Issue: What is the hundreds digit of 1445347?
Soln: 3
Issue: What is the tens digit of 49874?
Soln: 7
Issue: What is the tens digit of 24823702?
Soln: 0
Issue: What is the tens digit of 31269043?
Soln: 4
Issue: What is the units digit of 9238741?
Soln: 1
Issue: What is the hundreds digit of 13982?
Soln: 9
Issue: What is the units digit of 615047858?
Soln: 8
Issue: What is the hundreds digit of 9970756?
Soln: 7
Issue: What is the hundred thousands digit of 363419?
Soln: 3
Issue: What is the hundreds digit of 411798663?
Soln: 6
Issue: What is the thousands digit of 154877?
Soln: 4
Issue: What is the thousands digit of 70505663?
Soln: 5
Issue: What is the ten thousands digit of 6164108522?
Soln: 0
Issue: What is the thousands digit of 7364?
Soln: 7
Issue: What is the millions digit of 5144590?
Soln: 5
Issue: What is the thousands digit of 20061?
Soln: 0
Issue: What is the tens digit of 638660?
Soln: 6
Issue: What is the units digit of 599833?
Soln: 3
Issue: What is the thousands digit of 113274087?
Soln: 4
Issue: What is the hundred thousands digit of 169902068?
Soln: 9
Issue: What is the ten thousands digit of 18657511?
Soln: 5
Issue: What is the thousands digit of 1367354?
Soln: 7
Issue: What is the hundred thousands digit of 905803502?
Soln: 8
Issue: What is the units digit of 94490?
Soln: 0
Issue: What is the hundreds digit of 712990?
Soln: 9
Issue: What is the tens digit of 277475?
Soln: 7
Issue: What is the millions digit of 1405203230?
Soln: 5
Issue: What is the tens digit of 33024634?
Soln: 3
Issue:
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arithmetic: nearest integer root
--------------------------------
Q=: What is the ninth root of 75633581 to the nearest integer?
Compute: 8
Q=: What is 1781719449 to the power of 1/3, to the nearest integer?
Compute: 1212
Q=: What is the eighth root of 16716772 to the nearest integer?
Compute: 8
Q=: What is 57222119 to the power of 1/5, to the nearest integer?
Compute: 36
Q=: What is 98894329 to the power of 1/3, to the nearest integer?
Compute: 462
Q=: What is the cube root of 36426 to the nearest integer?
Compute: 33
Q=: What is the cube root of 1279457 to the nearest integer?
Compute: 109
Q=: What is the sixth root of 155516198 to the nearest integer?
Compute: 23
Q=: What is the cube root of 37460349 to the nearest integer?
Compute: 335
Q=: What is the square root of 6572 to the nearest integer?
Compute: 81
Q=: What is the third root of 718 to the nearest integer?
Compute: 9
Q=: What is 461149 to the power of 1/2, to the nearest integer?
Compute: 679
Q=: What is 44963519 to the power of 1/3, to the nearest integer?
Compute: 356
Q=: What is the seventh root of 28920 to the nearest integer?
Compute: 4
Q=: What is 373649431 to the power of 1/8, to the nearest integer?
Compute: 12
Q=: What is the square root of 124937 to the nearest integer?
Compute: 353
Q=: What is the square root of 31379117 to the nearest integer?
Compute: 5602
Q=: What is 529 to the power of 1/2, to the nearest integer?
Compute: 23
Q=: What is the third root of 15511 to the nearest integer?
Compute: 25
Q=: What is the tenth root of 1195642012 to the nearest integer?
Compute: 8
Q=: What is the seventh root of 202 to the nearest integer?
Compute: 2
Q=: What is the square root of 3294165 to the nearest integer?
Compute: 1815
Q=: What is 909829532 to the power of 1/3, to the nearest integer?
Compute: 969
Q=: What is 468076 to the power of 1/7, to the nearest integer?
Compute: 6
Q=: What is 206531062 to the power of 1/7, to the nearest integer?
Compute: 15
Q=: What is the third root of 2763682082 to t
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probability: swr p level set
----------------------------
Query: Calculate prob of picking 3 i when three letters picked without replacement from {y: 4, i: 6}.
Fix: 1/6
Query: Two letters picked without replacement from {i: 13, f: 5}. What is prob of picking 2 i?
Fix: 26/51
Query: Two letters picked without replacement from {j: 3, a: 15}. Give prob of picking 2 a.
Fix: 35/51
Query: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from ngjxxjs.
Fix: 2/21
Query: What is prob of picking 4 r when four letters picked without replacement from rrorrrrrroorrrrr?
Fix: 11/28
Query: Three letters picked without replacement from qunnnkuqknnq. What is prob of picking 2 q and 1 k?
Fix: 3/110
Query: Calculate prob of picking 2 v when two letters picked without replacement from {v: 9}.
Fix: 1
Query: What is prob of picking 1 n and 2 q when three letters picked without replacement from rnrnrnrnrqnrdrrrqn?
Fix: 1/136
Query: Two letters picked without replacement from pltlplcpnpnt. Give prob of picking 2 n.
Fix: 1/66
Query: Three letters picked without replacement from tptptttpttttpptt. Give prob of picking 1 p and 2 t.
Fix: 55/112
Query: Four letters picked without replacement from llldlllldl. What is prob of picking 2 d and 2 l?
Fix: 2/15
Query: Four letters picked without replacement from {q: 1, m: 4, d: 3, g: 12}. Give prob of picking 1 m, 2 g, and 1 q.
Fix: 88/1615
Query: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from {p: 12, j: 6, t: 1}.
Fix: 132/323
Query: Two letters picked without replacement from oroffongonfnf. Give prob of picking 1 f and 1 r.
Fix: 2/39
Query: Two letters picked without replacement from uttttttutttt. Give prob of picking 2 u.
Fix: 1/66
Query: Three letters picked without replacement from vyvvyydycvvy. What is prob of picking 1 v and 2 y?
Fix: 5/22
Query: Four letters picked without replacement from mssssmsyssmsm. Give prob of picking 2 s and 2 m.
Fix: 168/715
Query: Calculate prob of
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probability: swr p level set
----------------------------
Step: What is prob of picking 1 m and 1 t when two letters picked without replacement from {m: 10, t: 4}?
Yields: 40/91
Step: Calculate prob of picking 2 f when two letters picked without replacement from sxmofjofomxxjsxx.
Yields: 1/120
Step: Two letters picked without replacement from {i: 3, p: 3, v: 2}. What is prob of picking 1 p and 1 i?
Yields: 9/28
Step: What is prob of picking 1 i, 1 c, 1 w, and 1 j when four letters picked without replacement from {r: 2, i: 2, w: 7, c: 1, d: 1, j: 4}?
Yields: 2/85
Step: Two letters picked without replacement from {d: 2, m: 3, p: 13}. Give prob of picking 1 m and 1 p.
Yields: 13/51
Step: Calculate prob of picking 1 p, 1 f, and 1 y when three letters picked without replacement from {w: 5, y: 1, p: 1, f: 3, h: 1, k: 6}.
Yields: 3/680
Step: Three letters picked without replacement from {x: 3, v: 1}. What is prob of picking 2 x and 1 v?
Yields: 3/4
Step: What is prob of picking 1 z and 2 u when three letters picked without replacement from zvvuvllvzvzlluuvtl?
Yields: 3/272
Step: Calculate prob of picking 2 n when two letters picked without replacement from {b: 3, n: 3}.
Yields: 1/5
Step: Two letters picked without replacement from {o: 5, i: 2}. Give prob of picking 2 i.
Yields: 1/21
Step: Two letters picked without replacement from zuuzuuuunu. Give prob of picking 1 n and 1 z.
Yields: 2/45
Step: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {m: 2, y: 1, k: 1, j: 8, z: 2}.
Yields: 2/91
Step: Two letters picked without replacement from igtuutuqugggggiott. What is prob of picking 1 q and 1 g?
Yields: 2/51
Step: Four letters picked without replacement from tbxmbtxxxmtxxmtxt. Give prob of picking 1 x, 1 b, and 2 t.
Yields: 1/17
Step: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from llrnflrfnlrr.
Yields: 2/33
Step: Three letters picked without replacement from {p: 7, x: 9}. Give prob of picking 3 p.
Y
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numbers: gcd
------------
Qn: What is the greatest common divisor of 1873583 and 2?
Key: 1
Qn: Calculate the highest common factor of 1025647 and 112.
Key: 7
Qn: Calculate the highest common divisor of 4880460 and 1560.
Key: 780
Qn: Calculate the greatest common factor of 7497 and 190806.
Key: 147
Qn: What is the greatest common factor of 73 and 73?
Key: 73
Qn: Calculate the greatest common divisor of 1932 and 29568.
Key: 84
Qn: What is the greatest common divisor of 118 and 752?
Key: 2
Qn: Calculate the highest common factor of 21 and 79506.
Key: 21
Qn: Calculate the highest common divisor of 718 and 8097211254.
Key: 718
Qn: What is the highest common divisor of 25 and 450?
Key: 25
Qn: Calculate the greatest common divisor of 72602 and 124.
Key: 62
Qn: What is the greatest common factor of 1350 and 93877200?
Key: 450
Qn: Calculate the greatest common factor of 508525 and 600.
Key: 25
Qn: Calculate the greatest common factor of 936 and 91.
Key: 13
Qn: What is the highest common factor of 10 and 15?
Key: 5
Qn: Calculate the highest common divisor of 883848 and 336.
Key: 168
Qn: Calculate the greatest common factor of 14 and 7770.
Key: 14
Qn: Calculate the highest common divisor of 99681 and 131269.
Key: 149
Qn: Calculate the greatest common factor of 39 and 13.
Key: 13
Qn: What is the greatest common factor of 16290 and 12150?
Key: 90
Qn: What is the greatest common factor of 3715 and 5?
Key: 5
Qn: Calculate the highest common factor of 52 and 2106.
Key: 26
Qn: What is the greatest common divisor of 11179127 and 62?
Key: 31
Qn: Calculate the greatest common factor of 5 and 5679.
Key: 1
Qn: Calculate the greatest common factor of 4914 and 609.
Key: 21
Qn: What is the highest common factor of 2197 and 2834?
Key: 13
Qn: Calculate the highest common divisor of 44 and 198.
Key: 22
Qn: What is the highest common factor of 5565978784 and 5792?
Key: 5792
Qn: Calculate the greatest common divisor of 28 and 2464.
Key: 28
Qn: Calculate the highest common divisor of 648 and 6239
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measurement: conversion
-----------------------
Problem Statement: How many milligrams are there in 0.230341 tonnes?
Eval: 230341000
Problem Statement: How many millilitres are there in one fifth of a litre?
Eval: 200
Problem Statement: What is one twentieth of a litre in millilitres?
Eval: 50
Problem Statement: How many minutes are there in four thirds of a day?
Eval: 1920
Problem Statement: How many minutes are there in three fifths of a hour?
Eval: 36
Problem Statement: What is 71.22553 millilitres in litres?
Eval: 0.07122553
Problem Statement: How many kilometers are there in 139.3167 centimeters?
Eval: 0.001393167
Problem Statement: What is 2103.102 nanometers in meters?
Eval: 0.000002103102
Problem Statement: How many millimeters are there in 1/4 of a meter?
Eval: 250
Problem Statement: How many centimeters are there in 236.5665 meters?
Eval: 23656.65
Problem Statement: What is 7737.9012s in hours?
Eval: 2.149417
Problem Statement: What is 948.0414m in nanometers?
Eval: 948041400000
Problem Statement: What is 76.99129 nanometers in micrometers?
Eval: 0.07699129
Problem Statement: How many seconds are there in three fifths of a day?
Eval: 51840
Problem Statement: How many millilitres are there in one quarter of a litre?
Eval: 250
Problem Statement: Convert 3505.548 centuries to millennia.
Eval: 350.5548
Problem Statement: What is 5/4 of a millisecond in microseconds?
Eval: 1250
Problem Statement: What is 49862.56m in nanometers?
Eval: 49862560000000
Problem Statement: How many months are there in 394.24 millennia?
Eval: 4730880
Problem Statement: How many minutes are there in 13/12 of a day?
Eval: 1560
Problem Statement: How many minutes are there in three tenths of a day?
Eval: 432
Problem Statement: How many kilograms are there in 11/2 of a tonne?
Eval: 5500
Problem Statement: Convert 7.456596 millilitres to litres.
Eval: 0.007456596
Problem Statement: How many litres are there in 8.676021 millilitres?
Eval: 0.008676021
Problem Statement: What is 22515.86 kil
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numbers: is factor
------------------
Math Q: Is 51545 a multiple of 9?
Workthrough: False
Math Q: Does 79 divide 621335?
Workthrough: True
Math Q: Is 48641 a multiple of 31?
Workthrough: False
Math Q: Is 6575 a multiple of 15?
Workthrough: False
Math Q: Does 18 divide 80403842?
Workthrough: False
Math Q: Is 721 a factor of 154841960?
Workthrough: True
Math Q: Does 401 divide 910685436?
Workthrough: True
Math Q: Does 36 divide 44604?
Workthrough: True
Math Q: Is 47085 a multiple of 144?
Workthrough: False
Math Q: Does 1102 divide 38509453?
Workthrough: False
Math Q: Is 7718 a factor of 466838666?
Workthrough: True
Math Q: Is 57 a factor of 513?
Workthrough: True
Math Q: Is 55 a factor of 16076?
Workthrough: False
Math Q: Does 840 divide 885141718?
Workthrough: False
Math Q: Is 15 a factor of 1923557?
Workthrough: False
Math Q: Does 103 divide 5150?
Workthrough: True
Math Q: Is 646317936 a multiple of 16?
Workthrough: True
Math Q: Is 48657 a multiple of 147?
Workthrough: True
Math Q: Is 3280 a multiple of 80?
Workthrough: True
Math Q: Is 85763911 a multiple of 813?
Workthrough: False
Math Q: Is 71 a factor of 20524?
Workthrough: False
Math Q: Does 22 divide 1342?
Workthrough: True
Math Q: Is 16 a factor of 22623?
Workthrough: False
Math Q: Is 80 a factor of 34618?
Workthrough: False
Math Q: Is 279 a factor of 32582?
Workthrough: False
Math Q: Is 382648 a multiple of 7?
Workthrough: True
Math Q: Is 194 a factor of 1480452062?
Workthrough: False
Math Q: Is 15 a factor of 502317?
Workthrough: False
Math Q: Is 18 a factor of 7451?
Workthrough: False
Math Q: Does 155 divide 1254570?
Workthrough: True
Math Q: Is 822138 a multiple of 77?
Workthrough: False
Math Q: Is 71868456 a multiple of 396?
Workthrough: True
Math Q: Does 51 divide 24988?
Workthrough: False
Math Q: Does 47 divide 230230?
Workthrough: False
Math Q: Is 6255746 a multiple of 585?
Workthrough: False
Math Q: Does 13 divide 11630119?
Workthrough: False
Math Q: Does 564 divide 456355?
Workthrough: False
Math Q:
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|
numbers: div remainder
----------------------
Ask: What is the remainder when 286202 is divided by 28620?
Key: 2
Ask: Calculate the remainder when 25648 is divided by 13.
Key: 12
Ask: What is the remainder when 366865 is divided by 30470?
Key: 1225
Ask: What is the remainder when 33542198 is divided by 40?
Key: 38
Ask: What is the remainder when 229 is divided by 102?
Key: 25
Ask: Calculate the remainder when 672 is divided by 223.
Key: 3
Ask: Calculate the remainder when 6493 is divided by 38.
Key: 33
Ask: What is the remainder when 46027 is divided by 7285?
Key: 2317
Ask: What is the remainder when 79629 is divided by 1618?
Key: 347
Ask: Calculate the remainder when 2620 is divided by 147.
Key: 121
Ask: Calculate the remainder when 365595 is divided by 7763.
Key: 734
Ask: Calculate the remainder when 1822 is divided by 258.
Key: 16
Ask: What is the remainder when 3078 is divided by 13?
Key: 10
Ask: What is the remainder when 22258 is divided by 11054?
Key: 150
Ask: Calculate the remainder when 2092 is divided by 233.
Key: 228
Ask: Calculate the remainder when 782 is divided by 16.
Key: 14
Ask: Calculate the remainder when 1787 is divided by 12.
Key: 11
Ask: What is the remainder when 24 is divided by 11?
Key: 2
Ask: What is the remainder when 510491 is divided by 255?
Key: 236
Ask: Calculate the remainder when 8291587 is divided by 22779.
Key: 31
Ask: What is the remainder when 6868 is divided by 245?
Key: 8
Ask: Calculate the remainder when 1478118 is divided by 26.
Key: 18
Ask: Calculate the remainder when 1098852 is divided by 41.
Key: 11
Ask: What is the remainder when 752459 is divided by 1289?
Key: 972
Ask: What is the remainder when 1132 is divided by 16?
Key: 12
Ask: What is the remainder when 24927 is divided by 2769?
Key: 6
Ask: What is the remainder when 244636 is divided by 6268?
Key: 184
Ask: What is the remainder when 141 is divided by 19?
Key: 8
Ask: What is the remainder when 669 is divided by 633?
Key: 36
Ask: What is the remainder when 12253 is d
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numbers: is prime
-----------------
Scenario: Is 28723589 composite?
Ans: True
Scenario: Is 10077 a composite number?
Ans: True
Scenario: Is 1107900439 prime?
Ans: False
Scenario: Is 16734077 a composite number?
Ans: True
Scenario: Is 30303534043 a composite number?
Ans: False
Scenario: Is 106531 prime?
Ans: True
Scenario: Is 6598 a composite number?
Ans: True
Scenario: Is 109614019 composite?
Ans: False
Scenario: Is 107207857 a prime number?
Ans: True
Scenario: Is 903029 prime?
Ans: True
Scenario: Is 6596248039 prime?
Ans: False
Scenario: Is 70709 a prime number?
Ans: True
Scenario: Is 18366767 a composite number?
Ans: False
Scenario: Is 21817168877 a composite number?
Ans: True
Scenario: Is 19207 prime?
Ans: True
Scenario: Is 22343 a composite number?
Ans: False
Scenario: Is 572499402187 a composite number?
Ans: False
Scenario: Is 1662281 a composite number?
Ans: False
Scenario: Is 27930596437 a composite number?
Ans: True
Scenario: Is 23552671 prime?
Ans: True
Scenario: Is 3416950133 prime?
Ans: True
Scenario: Is 70509216497 composite?
Ans: True
Scenario: Is 911224643 a prime number?
Ans: False
Scenario: Is 2467241 a composite number?
Ans: True
Scenario: Is 13291 composite?
Ans: False
Scenario: Is 1704313 a prime number?
Ans: False
Scenario: Is 1570248737 composite?
Ans: True
Scenario: Is 1126740479 prime?
Ans: False
Scenario: Is 7660787 prime?
Ans: True
Scenario: Is 636611 composite?
Ans: True
Scenario: Is 23929 composite?
Ans: False
Scenario: Is 24989 a composite number?
Ans: False
Scenario: Is 45476945503 composite?
Ans: True
Scenario: Is 2767405 prime?
Ans: False
Scenario: Is 508290253 a composite number?
Ans: False
Scenario: Is 1857505211 a prime number?
Ans: False
Scenario: Is 44141087 prime?
Ans: True
Scenario: Is 57156195337 a composite number?
Ans: False
Scenario: Is 99974053 a composite number?
Ans: True
Scenario: Is 8127699 a composite number?
Ans: True
Scenario: Is 191 prime?
Ans: True
Scenario: Is 648237103 composite?
Ans: False
Scenario: Is 19829208
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|
numbers: gcd
------------
Case: What is the highest common factor of 83607 and 12152?
Soln: 31
Case: Calculate the greatest common divisor of 593664552 and 6804.
Soln: 972
Case: What is the greatest common factor of 1552 and 4528?
Soln: 16
Case: Calculate the highest common factor of 28 and 3383282.
Soln: 14
Case: What is the greatest common factor of 32 and 8?
Soln: 8
Case: What is the greatest common factor of 18 and 1236?
Soln: 6
Case: What is the highest common divisor of 1680 and 9902760?
Soln: 840
Case: Calculate the highest common factor of 30 and 1787865.
Soln: 15
Case: What is the greatest common factor of 315 and 18?
Soln: 9
Case: Calculate the highest common factor of 3053 and 2623.
Soln: 43
Case: Calculate the greatest common factor of 51 and 17748.
Soln: 51
Case: What is the highest common divisor of 190 and 304?
Soln: 38
Case: Calculate the highest common divisor of 41 and 656.
Soln: 41
Case: What is the greatest common factor of 92335 and 3953?
Soln: 59
Case: What is the greatest common factor of 23187847 and 969?
Soln: 323
Case: Calculate the greatest common factor of 74991 and 84.
Soln: 21
Case: Calculate the greatest common factor of 35659400 and 2800.
Soln: 1400
Case: What is the greatest common divisor of 50 and 270?
Soln: 10
Case: Calculate the highest common factor of 791200 and 184.
Soln: 184
Case: What is the greatest common factor of 139111 and 731?
Soln: 17
Case: What is the greatest common factor of 26960 and 137833?
Soln: 337
Case: What is the highest common divisor of 693885 and 6925?
Soln: 1385
Case: What is the highest common divisor of 1017 and 478029663?
Soln: 1017
Case: What is the greatest common divisor of 377 and 29?
Soln: 29
Case: Calculate the highest common factor of 316 and 7589214.
Soln: 158
Case: What is the highest common factor of 11 and 1727?
Soln: 11
Case: What is the highest common factor of 561 and 51?
Soln: 51
Case: What is the greatest common divisor of 21 and 6513?
Soln: 3
Case: What is the highest common divisor o
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|
probability: swr p level set
----------------------------
What if: Three letters picked without replacement from {p: 5, j: 3, b: 1, y: 5, k: 2, x: 4}. Give prob of picking 2 j and 1 b.
Explanation: 1/380
What if: Four letters picked without replacement from ererllererble. What is prob of picking 2 e and 2 r?
Explanation: 12/143
What if: Calculate prob of picking 3 x and 1 t when four letters picked without replacement from txxxtxxxtxxxxxxxxxxx.
Explanation: 8/19
What if: Two letters picked without replacement from {c: 3, s: 6, f: 1, j: 8}. Give prob of picking 2 c.
Explanation: 1/51
What if: Four letters picked without replacement from aabbaambbabtaaaaa. Give prob of picking 3 a and 1 t.
Explanation: 6/119
What if: Three letters picked without replacement from lllbbllbbl. What is prob of picking 3 l?
Explanation: 1/6
What if: What is prob of picking 3 k when three letters picked without replacement from {k: 10}?
Explanation: 1
What if: What is prob of picking 2 m when two letters picked without replacement from {e: 5, m: 2}?
Explanation: 1/21
What if: What is prob of picking 2 k when two letters picked without replacement from {k: 7, y: 5}?
Explanation: 7/22
What if: What is prob of picking 2 x and 1 t when three letters picked without replacement from {x: 2, b: 9, t: 2}?
Explanation: 1/143
What if: Calculate prob of picking 4 l when four letters picked without replacement from lblbllb.
Explanation: 1/35
What if: What is prob of picking 1 i and 1 u when two letters picked without replacement from ttictttutttt?
Explanation: 1/66
What if: Two letters picked without replacement from {y: 2, s: 1, n: 1, w: 2, o: 1}. What is prob of picking 1 s and 1 w?
Explanation: 2/21
What if: Four letters picked without replacement from {x: 3, t: 6, r: 3, o: 1, c: 5}. What is prob of picking 2 x and 2 r?
Explanation: 1/340
What if: Calculate prob of picking 1 d and 2 w when three letters picked without replacement from dwww.
Explanation: 3/4
What if: Two letters picked without replace
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|
probability: swr p sequence
---------------------------
Example: Calculate prob of sequence uu when two letters picked without replacement from ffffuuufuuuuffff.
A.: 7/40
Example: What is prob of sequence sqee when four letters picked without replacement from eeesqqqeesqqeee?
A.: 2/117
Example: Two letters picked without replacement from cbcccccclccbcc. What is prob of sequence bc?
A.: 11/91
Example: Calculate prob of sequence hvw when three letters picked without replacement from ywhvrrmv.
A.: 1/168
Example: What is prob of sequence uwk when three letters picked without replacement from wewwkkueewekkkwe?
A.: 5/672
Example: Three letters picked without replacement from {j: 5, b: 3}. What is prob of sequence bjb?
A.: 5/56
Example: Calculate prob of sequence jd when two letters picked without replacement from djdjdjjddjdjjd.
A.: 7/26
Example: Calculate prob of sequence mfoo when four letters picked without replacement from mmmmmmfommoffmm.
A.: 1/546
Example: Calculate prob of sequence grgh when four letters picked without replacement from ghgggggjeggeggrg.
A.: 11/4368
Example: Two letters picked without replacement from {p: 3, k: 3, d: 4, c: 1}. What is prob of sequence dd?
A.: 6/55
Example: Calculate prob of sequence kmkk when four letters picked without replacement from {k: 17, m: 1}.
A.: 1/18
Example: Three letters picked without replacement from qhkkhkhhkk. Give prob of sequence hqk.
A.: 1/36
Example: Two letters picked without replacement from {q: 2, x: 8}. Give prob of sequence xq.
A.: 8/45
Example: Three letters picked without replacement from {r: 11, b: 1, q: 1, i: 1, p: 1, h: 1}. Give prob of sequence bri.
A.: 11/3360
Example: Calculate prob of sequence ppvp when four letters picked without replacement from yypyyvppyyyyvypypppy.
A.: 7/1938
Example: Calculate prob of sequence yb when two letters picked without replacement from qteeieybtiiytbe.
A.: 2/105
Example: Four letters picked without replacement from {x: 7, n: 4}. Give prob of sequence nnnx.
A.: 7/330
Ex
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english
|
numbers: is prime
-----------------
Math Problem: Is 5409949 a prime number?
Reply: False
Math Problem: Is 457255862078 composite?
Reply: True
Math Problem: Is 13707034889 a composite number?
Reply: True
Math Problem: Is 1981682 a composite number?
Reply: True
Math Problem: Is 856567 prime?
Reply: True
Math Problem: Is 2811761 composite?
Reply: False
Math Problem: Is 45949 prime?
Reply: True
Math Problem: Is 52289 a prime number?
Reply: True
Math Problem: Is 223048097 a composite number?
Reply: True
Math Problem: Is 16345415293 prime?
Reply: True
Math Problem: Is 111721 a composite number?
Reply: False
Math Problem: Is 12808426517 prime?
Reply: True
Math Problem: Is 5488195457 a prime number?
Reply: True
Math Problem: Is 15049 prime?
Reply: False
Math Problem: Is 8663 a composite number?
Reply: False
Math Problem: Is 925392241 prime?
Reply: True
Math Problem: Is 5606849 prime?
Reply: True
Math Problem: Is 7556717267 composite?
Reply: True
Math Problem: Is 82434419 composite?
Reply: False
Math Problem: Is 242387 a composite number?
Reply: True
Math Problem: Is 6114074 composite?
Reply: True
Math Problem: Is 7925735 a composite number?
Reply: True
Math Problem: Is 42670376881 prime?
Reply: False
Math Problem: Is 12241192631 prime?
Reply: True
Math Problem: Is 111899981 prime?
Reply: True
Math Problem: Is 49268521 composite?
Reply: False
Math Problem: Is 18408265471 composite?
Reply: True
Math Problem: Is 140019751 a prime number?
Reply: True
Math Problem: Is 16343389 composite?
Reply: False
Math Problem: Is 667081 composite?
Reply: False
Math Problem: Is 2308019473 a prime number?
Reply: True
Math Problem: Is 3162605 prime?
Reply: False
Math Problem: Is 7651 prime?
Reply: False
Math Problem: Is 23867804201 a composite number?
Reply: True
Math Problem: Is 1211 a composite number?
Reply: True
Math Problem: Is 41309 a composite number?
Reply: True
Math Problem: Is 7342297 composite?
Reply: False
Math Problem: Is 2767 a prime number?
Reply: True
Math Problem: Is 749549209
|
english
|
numbers: is prime
-----------------
Task: Is 28386367 a composite number?
Therefore: False
Task: Is 2271 a prime number?
Therefore: False
Task: Is 235991 composite?
Therefore: True
Task: Is 2418345439 composite?
Therefore: True
Task: Is 1325309 a prime number?
Therefore: True
Task: Is 2593319471 composite?
Therefore: False
Task: Is 172545143 a prime number?
Therefore: True
Task: Is 11628369437 a composite number?
Therefore: False
Task: Is 370187911 prime?
Therefore: False
Task: Is 68267 a prime number?
Therefore: False
Task: Is 27187579 composite?
Therefore: True
Task: Is 572937 composite?
Therefore: True
Task: Is 3989 a prime number?
Therefore: True
Task: Is 35756839 prime?
Therefore: True
Task: Is 188016359 a prime number?
Therefore: True
Task: Is 5908537 prime?
Therefore: False
Task: Is 145103539 composite?
Therefore: True
Task: Is 1031 prime?
Therefore: True
Task: Is 22725831241 composite?
Therefore: False
Task: Is 193147 composite?
Therefore: False
Task: Is 427055 composite?
Therefore: True
Task: Is 148331 composite?
Therefore: False
Task: Is 11013 a prime number?
Therefore: False
Task: Is 7177 a prime number?
Therefore: True
Task: Is 225867 a prime number?
Therefore: False
Task: Is 3879961 prime?
Therefore: False
Task: Is 69225019 prime?
Therefore: False
Task: Is 195091049 composite?
Therefore: False
Task: Is 31263957149 prime?
Therefore: True
Task: Is 102701 composite?
Therefore: False
Task: Is 9831389 a prime number?
Therefore: False
Task: Is 2587 a prime number?
Therefore: False
Task: Is 11532074 a composite number?
Therefore: True
Task: Is 213221 a composite number?
Therefore: True
Task: Is 230659717 prime?
Therefore: True
Task: Is 12361445 a prime number?
Therefore: False
Task: Is 321502 a prime number?
Therefore: False
Task: Is 1434637 a composite number?
Therefore: False
Task: Is 72997 a prime number?
Therefore: True
Task: Is 9069 prime?
Therefore: False
Task: Is 185677 composite?
Therefore: False
Task: Is 5122751 a composite number?
Therefore: True
Tas
|
english
|
measurement: time
-----------------
Qn: What is 298 minutes before 5:43 PM?
Key: 12:45 PM
Qn: What is 264 minutes before 11:09 PM?
Key: 6:45 PM
Qn: How many minutes are there between 1:25 AM and 2:57 AM?
Key: 92
Qn: What is 623 minutes after 7:06 PM?
Key: 5:29 AM
Qn: How many minutes are there between 1:01 PM and 5:10 PM?
Key: 249
Qn: How many minutes are there between 12:22 PM and 11:14 PM?
Key: 652
Qn: What is 366 minutes before 2:44 AM?
Key: 8:38 PM
Qn: What is 315 minutes before 2:26 PM?
Key: 9:11 AM
Qn: How many minutes are there between 10:13 PM and 9:53 AM?
Key: 700
Qn: How many minutes are there between 7:32 AM and 9:13 AM?
Key: 101
Qn: What is 204 minutes after 3:07 PM?
Key: 6:31 PM
Qn: How many minutes are there between 3:37 PM and 7:32 PM?
Key: 235
Qn: How many minutes are there between 3:19 PM and 1:00 AM?
Key: 581
Qn: What is 507 minutes before 12:19 AM?
Key: 3:52 PM
Qn: How many minutes are there between 9:22 PM and 2:15 AM?
Key: 293
Qn: How many minutes are there between 10:56 PM and 12:53 AM?
Key: 117
Qn: How many minutes are there between 10:07 PM and 10:26 PM?
Key: 19
Qn: How many minutes are there between 5:08 PM and 3:03 AM?
Key: 595
Qn: How many minutes are there between 12:24 PM and 9:19 PM?
Key: 535
Qn: How many minutes are there between 7:38 PM and 6:33 AM?
Key: 655
Qn: How many minutes are there between 8:17 AM and 6:13 PM?
Key: 596
Qn: How many minutes are there between 5:14 PM and 9:11 PM?
Key: 237
Qn: How many minutes are there between 9:02 AM and 6:26 PM?
Key: 564
Qn: What is 597 minutes before 5:18 PM?
Key: 7:21 AM
Qn: What is 367 minutes before 8:10 AM?
Key: 2:03 AM
Qn: What is 592 minutes after 5:55 AM?
Key: 3:47 PM
Qn: What is 576 minutes after 11:27 AM?
Key: 9:03 PM
Qn: What is 699 minutes after 10:55 AM?
Key: 10:34 PM
Qn: What is 528 minutes after 1:52 AM?
Key: 10:40 AM
Qn: How many minutes are there between 12:20 PM and 8:07 PM?
Key: 467
Qn: How many minutes are there between 3:25 PM and 7:45 PM?
Key: 260
Qn: How many minutes are
|
english
|
numbers: div remainder
----------------------
Scenario: What is the remainder when 5331 is divided by 86?
Eval: 85
Scenario: What is the remainder when 42 is divided by 39?
Eval: 3
Scenario: What is the remainder when 25821 is divided by 32?
Eval: 29
Scenario: Calculate the remainder when 47064577 is divided by 287.
Eval: 21
Scenario: Calculate the remainder when 2005657 is divided by 3209.
Eval: 32
Scenario: Calculate the remainder when 1012 is divided by 777.
Eval: 235
Scenario: Calculate the remainder when 1918 is divided by 425.
Eval: 218
Scenario: What is the remainder when 29793903 is divided by 1040?
Eval: 1023
Scenario: What is the remainder when 203002 is divided by 33786?
Eval: 286
Scenario: What is the remainder when 57909 is divided by 28845?
Eval: 219
Scenario: What is the remainder when 247 is divided by 153?
Eval: 94
Scenario: What is the remainder when 5975 is divided by 3351?
Eval: 2624
Scenario: Calculate the remainder when 19152 is divided by 1736.
Eval: 56
Scenario: Calculate the remainder when 19490305 is divided by 9745151.
Eval: 3
Scenario: What is the remainder when 3907114 is divided by 3174?
Eval: 3094
Scenario: What is the remainder when 184630 is divided by 1808?
Eval: 214
Scenario: Calculate the remainder when 464326 is divided by 232117.
Eval: 92
Scenario: What is the remainder when 2509 is divided by 1249?
Eval: 11
Scenario: What is the remainder when 44371079 is divided by 76?
Eval: 75
Scenario: What is the remainder when 124820828 is divided by 63?
Eval: 62
Scenario: Calculate the remainder when 296531 is divided by 1145.
Eval: 1121
Scenario: Calculate the remainder when 76152 is divided by 1107.
Eval: 876
Scenario: Calculate the remainder when 75221 is divided by 18801.
Eval: 17
Scenario: Calculate the remainder when 30173 is divided by 246.
Eval: 161
Scenario: Calculate the remainder when 1117 is divided by 10.
Eval: 7
Scenario: Calculate the remainder when 4453 is divided by 211.
Eval: 22
Scenario: Calculate the remainder when 391
|
english
|
numbers: gcd
------------
Q.: Calculate the highest common factor of 11184855 and 119515.
Conclusion: 2915
Q.: Calculate the highest common divisor of 10693 and 4624.
Conclusion: 289
Q.: What is the greatest common divisor of 259060 and 820?
Conclusion: 20
Q.: Calculate the highest common divisor of 57562 and 379304.
Conclusion: 34
Q.: Calculate the highest common divisor of 1619 and 511890563.
Conclusion: 1619
Q.: What is the greatest common divisor of 173500 and 750?
Conclusion: 250
Q.: What is the greatest common factor of 623 and 1174537?
Conclusion: 7
Q.: What is the highest common divisor of 2352890 and 1280?
Conclusion: 10
Q.: Calculate the highest common divisor of 260 and 1948.
Conclusion: 4
Q.: Calculate the greatest common factor of 153 and 17.
Conclusion: 17
Q.: Calculate the greatest common factor of 5535 and 265065.
Conclusion: 615
Q.: Calculate the highest common factor of 112 and 20528.
Conclusion: 16
Q.: Calculate the highest common factor of 12 and 766962.
Conclusion: 6
Q.: Calculate the highest common divisor of 1976 and 56.
Conclusion: 8
Q.: What is the highest common divisor of 21 and 7?
Conclusion: 7
Q.: What is the highest common factor of 204 and 156?
Conclusion: 12
Q.: What is the highest common divisor of 5 and 1535?
Conclusion: 5
Q.: What is the greatest common divisor of 16 and 12406?
Conclusion: 2
Q.: Calculate the greatest common factor of 22 and 198.
Conclusion: 22
Q.: Calculate the highest common factor of 90 and 747.
Conclusion: 9
Q.: Calculate the greatest common divisor of 44 and 7618501.
Conclusion: 11
Q.: What is the greatest common factor of 61 and 3719?
Conclusion: 1
Q.: Calculate the greatest common divisor of 478789 and 137107.
Conclusion: 167
Q.: What is the greatest common factor of 239 and 3107239?
Conclusion: 239
Q.: What is the highest common divisor of 9408 and 9579696?
Conclusion: 2352
Q.: Calculate the highest common divisor of 462 and 4034877.
Conclusion: 231
Q.: What is the highest common divisor of 275 and 3565925?
|
english
|
measurement: time
-----------------
Prompt: What is 305 minutes before 1:32 PM?
Steps: 8:27 AM
Prompt: What is 103 minutes before 2:56 AM?
Steps: 1:13 AM
Prompt: What is 394 minutes after 12:58 PM?
Steps: 7:32 PM
Prompt: How many minutes are there between 7:08 AM and 7:50 AM?
Steps: 42
Prompt: How many minutes are there between 4:02 PM and 4:58 PM?
Steps: 56
Prompt: What is 678 minutes after 1:21 PM?
Steps: 12:39 AM
Prompt: What is 546 minutes after 11:59 AM?
Steps: 9:05 PM
Prompt: How many minutes are there between 2:02 AM and 7:12 AM?
Steps: 310
Prompt: What is 576 minutes before 3:58 PM?
Steps: 6:22 AM
Prompt: How many minutes are there between 8:12 PM and 8:26 PM?
Steps: 14
Prompt: How many minutes are there between 4:12 AM and 4:47 AM?
Steps: 35
Prompt: What is 708 minutes after 11:58 AM?
Steps: 11:46 PM
Prompt: What is 130 minutes before 5:19 PM?
Steps: 3:09 PM
Prompt: How many minutes are there between 11:35 PM and 4:48 AM?
Steps: 313
Prompt: What is 388 minutes before 12:13 PM?
Steps: 5:45 AM
Prompt: How many minutes are there between 12:29 PM and 7:28 PM?
Steps: 419
Prompt: How many minutes are there between 9:04 AM and 2:02 PM?
Steps: 298
Prompt: What is 581 minutes after 3:59 AM?
Steps: 1:40 PM
Prompt: How many minutes are there between 5:38 AM and 8:31 AM?
Steps: 173
Prompt: How many minutes are there between 9:18 AM and 11:53 AM?
Steps: 155
Prompt: What is 502 minutes before 7:30 AM?
Steps: 11:08 PM
Prompt: What is 371 minutes before 6:26 AM?
Steps: 12:15 AM
Prompt: How many minutes are there between 8:11 AM and 3:53 PM?
Steps: 462
Prompt: How many minutes are there between 12:48 AM and 1:13 AM?
Steps: 25
Prompt: How many minutes are there between 6:21 AM and 7:28 AM?
Steps: 67
Prompt: How many minutes are there between 11:28 AM and 12:35 PM?
Steps: 67
Prompt: What is 76 minutes before 3:47 PM?
Steps: 2:31 PM
Prompt: How many minutes are there between 3:17 PM and 12:58 AM?
Steps: 581
Prompt: What is 453 minutes before 1:12 AM?
Steps: 5:39 PM
Prompt: How
|
english
|
probability: swr p level set
----------------------------
Subquestion: Two letters picked without replacement from ooooooo. Give prob of picking 2 o.
Soln: 1
Subquestion: Two letters picked without replacement from aaaaaaaaiaaaa. What is prob of picking 2 a?
Soln: 11/13
Subquestion: Three letters picked without replacement from ugaummrumaumuamrimmm. What is prob of picking 1 r, 1 i, and 1 a?
Soln: 1/190
Subquestion: Calculate prob of picking 2 n when two letters picked without replacement from nnnnn.
Soln: 1
Subquestion: Two letters picked without replacement from {n: 2, r: 3, k: 3, j: 1, o: 2, u: 1}. Give prob of picking 1 r and 1 o.
Soln: 1/11
Subquestion: Two letters picked without replacement from jxxrmsjl. What is prob of picking 2 x?
Soln: 1/28
Subquestion: Three letters picked without replacement from {s: 1, t: 2, u: 3, p: 1}. What is prob of picking 1 t and 2 u?
Soln: 6/35
Subquestion: Two letters picked without replacement from rplop. Give prob of picking 2 o.
Soln: 0
Subquestion: What is prob of picking 2 u when two letters picked without replacement from vvvvuuvvvvuuvvuvvuu?
Soln: 7/57
Subquestion: What is prob of picking 1 i and 2 y when three letters picked without replacement from yyhyryiiyyiioiyyri?
Soln: 7/34
Subquestion: What is prob of picking 4 s when four letters picked without replacement from gssgssssgsggg?
Soln: 7/143
Subquestion: Four letters picked without replacement from {b: 5, r: 3, v: 3}. What is prob of picking 2 r, 1 v, and 1 b?
Soln: 3/22
Subquestion: Four letters picked without replacement from {m: 2, n: 1, a: 1, l: 2, d: 2}. Give prob of picking 1 l, 1 a, and 2 d.
Soln: 1/35
Subquestion: Two letters picked without replacement from diuqdiuuujjqqqqyq. Give prob of picking 2 d.
Soln: 1/136
Subquestion: What is prob of picking 1 e and 1 k when two letters picked without replacement from kek?
Soln: 2/3
Subquestion: What is prob of picking 1 f, 1 g, and 1 z when three letters picked without replacement from {z: 1, f: 1, h: 4, g: 1, j: 1}?
|
english
|
numbers: div remainder
----------------------
Inquiry: Calculate the remainder when 1029206 is divided by 1019.
Final Answer: 16
Inquiry: What is the remainder when 2616423 is divided by 5639?
Final Answer: 5566
Inquiry: What is the remainder when 3751767 is divided by 10750?
Final Answer: 17
Inquiry: What is the remainder when 12428442 is divided by 5657?
Final Answer: 13
Inquiry: Calculate the remainder when 306 is divided by 57.
Final Answer: 21
Inquiry: Calculate the remainder when 71666 is divided by 527.
Final Answer: 521
Inquiry: What is the remainder when 17155 is divided by 129?
Final Answer: 127
Inquiry: What is the remainder when 23 is divided by 13?
Final Answer: 10
Inquiry: Calculate the remainder when 117275 is divided by 39020.
Final Answer: 215
Inquiry: Calculate the remainder when 15440539 is divided by 358.
Final Answer: 357
Inquiry: Calculate the remainder when 60620 is divided by 5048.
Final Answer: 44
Inquiry: What is the remainder when 299247 is divided by 256?
Final Answer: 239
Inquiry: What is the remainder when 5142 is divided by 18?
Final Answer: 12
Inquiry: Calculate the remainder when 1032968 is divided by 5.
Final Answer: 3
Inquiry: What is the remainder when 3849908 is divided by 1283281?
Final Answer: 65
Inquiry: What is the remainder when 5104 is divided by 254?
Final Answer: 24
Inquiry: What is the remainder when 103674 is divided by 2514?
Final Answer: 600
Inquiry: Calculate the remainder when 422 is divided by 3.
Final Answer: 2
Inquiry: Calculate the remainder when 1089833 is divided by 951.
Final Answer: 938
Inquiry: Calculate the remainder when 2385 is divided by 199.
Final Answer: 196
Inquiry: What is the remainder when 239 is divided by 106?
Final Answer: 27
Inquiry: What is the remainder when 67215096 is divided by 16803773?
Final Answer: 4
Inquiry: What is the remainder when 585956238 is divided by 3595?
Final Answer: 3593
Inquiry: What is the remainder when 462790 is divided by 1311?
Final Answer: 7
Inquiry: What is the rem
|
english
|
numbers: is prime
-----------------
Inquiry: Is 7051123 a composite number?
Clarification: False
Inquiry: Is 403621211 prime?
Clarification: False
Inquiry: Is 111 a composite number?
Clarification: True
Inquiry: Is 593517439 a prime number?
Clarification: True
Inquiry: Is 2241011 composite?
Clarification: False
Inquiry: Is 964051 a composite number?
Clarification: True
Inquiry: Is 2776646153 prime?
Clarification: True
Inquiry: Is 19517150351 composite?
Clarification: False
Inquiry: Is 4581741 a prime number?
Clarification: False
Inquiry: Is 5428777 composite?
Clarification: False
Inquiry: Is 11999617463 a composite number?
Clarification: True
Inquiry: Is 3628351453 a prime number?
Clarification: False
Inquiry: Is 23191237 a prime number?
Clarification: True
Inquiry: Is 3527 a composite number?
Clarification: False
Inquiry: Is 38901970957 prime?
Clarification: False
Inquiry: Is 7890259519 composite?
Clarification: True
Inquiry: Is 890003 prime?
Clarification: True
Inquiry: Is 15194727319 a prime number?
Clarification: False
Inquiry: Is 619391 a composite number?
Clarification: False
Inquiry: Is 4769 composite?
Clarification: True
Inquiry: Is 1378550969 prime?
Clarification: True
Inquiry: Is 393463309 prime?
Clarification: True
Inquiry: Is 75122 composite?
Clarification: True
Inquiry: Is 119921 a prime number?
Clarification: True
Inquiry: Is 86907749 prime?
Clarification: True
Inquiry: Is 350281 a composite number?
Clarification: False
Inquiry: Is 2440621 composite?
Clarification: False
Inquiry: Is 5241 a composite number?
Clarification: True
Inquiry: Is 20806039 prime?
Clarification: True
Inquiry: Is 100483 a prime number?
Clarification: True
Inquiry: Is 1533905831 prime?
Clarification: False
Inquiry: Is 13144989899 prime?
Clarification: True
Inquiry: Is 9433789 composite?
Clarification: True
Inquiry: Is 211229918 composite?
Clarification: True
Inquiry: Is 2971 a composite number?
Clarification: False
Inquiry: Is 887305891 a composite number?
Clarification: True
Inqu
|
english
|
arithmetic: nearest integer root
--------------------------------
Subquestion: What is the third root of 4174115 to the nearest integer?
Therefore: 161
Subquestion: What is 178872926 to the power of 1/2, to the nearest integer?
Therefore: 13374
Subquestion: What is 1208660 to the power of 1/3, to the nearest integer?
Therefore: 107
Subquestion: What is 1798 to the power of 1/2, to the nearest integer?
Therefore: 42
Subquestion: What is the fourth root of 789 to the nearest integer?
Therefore: 5
Subquestion: What is the third root of 93 to the nearest integer?
Therefore: 5
Subquestion: What is the third root of 32072434 to the nearest integer?
Therefore: 318
Subquestion: What is 975 to the power of 1/5, to the nearest integer?
Therefore: 4
Subquestion: What is the third root of 4600625076 to the nearest integer?
Therefore: 1663
Subquestion: What is 12512 to the power of 1/7, to the nearest integer?
Therefore: 4
Subquestion: What is 118327 to the power of 1/9, to the nearest integer?
Therefore: 4
Subquestion: What is 1442 to the power of 1/3, to the nearest integer?
Therefore: 11
Subquestion: What is the third root of 2370309 to the nearest integer?
Therefore: 133
Subquestion: What is the square root of 14067454 to the nearest integer?
Therefore: 3751
Subquestion: What is the square root of 8866207227 to the nearest integer?
Therefore: 94161
Subquestion: What is the third root of 5895 to the nearest integer?
Therefore: 18
Subquestion: What is the sixth root of 294828878 to the nearest integer?
Therefore: 26
Subquestion: What is the sixth root of 1859579 to the nearest integer?
Therefore: 11
Subquestion: What is 532607051 to the power of 1/2, to the nearest integer?
Therefore: 23078
Subquestion: What is 10100120 to the power of 1/3, to the nearest integer?
Therefore: 216
Subquestion: What is the seventh root of 573568785 to the nearest integer?
Therefore: 18
Subquestion: What is the square root of 581181864 to the nearest integer?
Therefore: 24108
Subquestion: What is
|
english
|
numbers: is prime
-----------------
Q: Is 35719 composite?
Explanation: True
Q: Is 30773 composite?
Explanation: False
Q: Is 80826690653 a composite number?
Explanation: False
Q: Is 1253 a composite number?
Explanation: True
Q: Is 18613882853 a composite number?
Explanation: True
Q: Is 7998035567 a composite number?
Explanation: False
Q: Is 84404377 prime?
Explanation: True
Q: Is 168442297 a composite number?
Explanation: False
Q: Is 445911029 a prime number?
Explanation: True
Q: Is 228707 composite?
Explanation: False
Q: Is 115307 prime?
Explanation: False
Q: Is 141811931 a prime number?
Explanation: True
Q: Is 116239 a composite number?
Explanation: False
Q: Is 3024447641 prime?
Explanation: True
Q: Is 243769 a composite number?
Explanation: False
Q: Is 29527 a composite number?
Explanation: False
Q: Is 1120849 prime?
Explanation: True
Q: Is 37951 a prime number?
Explanation: True
Q: Is 174696187 prime?
Explanation: True
Q: Is 22853 a composite number?
Explanation: False
Q: Is 25709 a composite number?
Explanation: True
Q: Is 12517 prime?
Explanation: True
Q: Is 5440300105 a prime number?
Explanation: False
Q: Is 2282741323 prime?
Explanation: False
Q: Is 5309954423 a composite number?
Explanation: False
Q: Is 159136727 a composite number?
Explanation: False
Q: Is 18419733319 a prime number?
Explanation: False
Q: Is 73478 a composite number?
Explanation: True
Q: Is 1199 a prime number?
Explanation: False
Q: Is 712945 prime?
Explanation: False
Q: Is 1748557 composite?
Explanation: True
Q: Is 476349781 prime?
Explanation: True
Q: Is 62243 prime?
Explanation: False
Q: Is 49553380397 a prime number?
Explanation: False
Q: Is 6258159059 a composite number?
Explanation: False
Q: Is 202441 prime?
Explanation: True
Q: Is 21769 prime?
Explanation: False
Q: Is 252313 composite?
Explanation: False
Q: Is 4832803 a composite number?
Explanation: True
Q: Is 428511 a prime number?
Explanation: False
Q: Is 456853 composite?
Explanation: True
Q: Is 1972671343 a composite number?
Ex
|
english
|
numbers: is prime
-----------------
Problem Statement: Is 9151 a prime number?
Sol: True
Problem Statement: Is 54301 composite?
Sol: True
Problem Statement: Is 58022801 composite?
Sol: False
Problem Statement: Is 194809 a composite number?
Sol: False
Problem Statement: Is 35785977407 composite?
Sol: False
Problem Statement: Is 26186 composite?
Sol: True
Problem Statement: Is 4103252983 prime?
Sol: True
Problem Statement: Is 42962 a prime number?
Sol: False
Problem Statement: Is 11775191 a composite number?
Sol: False
Problem Statement: Is 3871139 composite?
Sol: False
Problem Statement: Is 24709637 composite?
Sol: True
Problem Statement: Is 460555 a composite number?
Sol: True
Problem Statement: Is 16663 a prime number?
Sol: False
Problem Statement: Is 86931331 a composite number?
Sol: False
Problem Statement: Is 7397479801 a prime number?
Sol: True
Problem Statement: Is 42859 a prime number?
Sol: True
Problem Statement: Is 46312997323 a composite number?
Sol: False
Problem Statement: Is 6798237619 a prime number?
Sol: False
Problem Statement: Is 262135957 composite?
Sol: False
Problem Statement: Is 1905419 composite?
Sol: True
Problem Statement: Is 229032509 prime?
Sol: True
Problem Statement: Is 91558178 a prime number?
Sol: False
Problem Statement: Is 1558079 prime?
Sol: True
Problem Statement: Is 875122429 a composite number?
Sol: True
Problem Statement: Is 20043847 a prime number?
Sol: True
Problem Statement: Is 42630117 a prime number?
Sol: False
Problem Statement: Is 135787 prime?
Sol: True
Problem Statement: Is 12459052843 a composite number?
Sol: False
Problem Statement: Is 1729813 a prime number?
Sol: True
Problem Statement: Is 1422953 composite?
Sol: True
Problem Statement: Is 845599 a composite number?
Sol: False
Problem Statement: Is 3039 a composite number?
Sol: True
Problem Statement: Is 124800779 prime?
Sol: True
Problem Statement: Is 29599 a prime number?
Sol: True
Problem Statement: Is 15011265509 a composite number?
Sol: True
Problem Statement: Is
|
english
|
numbers: is prime
-----------------
Puzzle: Is 27043 prime?
Therefore: True
Puzzle: Is 2013708849 composite?
Therefore: True
Puzzle: Is 1276121941 composite?
Therefore: False
Puzzle: Is 13901 composite?
Therefore: False
Puzzle: Is 2819072197 a prime number?
Therefore: False
Puzzle: Is 33502959119 composite?
Therefore: True
Puzzle: Is 2122 a composite number?
Therefore: True
Puzzle: Is 4727285 a prime number?
Therefore: False
Puzzle: Is 2269377778 composite?
Therefore: True
Puzzle: Is 4645 a composite number?
Therefore: True
Puzzle: Is 15259 a composite number?
Therefore: False
Puzzle: Is 2949701 a composite number?
Therefore: False
Puzzle: Is 37384747 prime?
Therefore: True
Puzzle: Is 3832093 a prime number?
Therefore: False
Puzzle: Is 1067 a prime number?
Therefore: False
Puzzle: Is 19472347 a prime number?
Therefore: True
Puzzle: Is 517949 prime?
Therefore: True
Puzzle: Is 519390239 a composite number?
Therefore: True
Puzzle: Is 4181 prime?
Therefore: False
Puzzle: Is 1228414459 a prime number?
Therefore: True
Puzzle: Is 1043 a composite number?
Therefore: True
Puzzle: Is 76910069 a prime number?
Therefore: True
Puzzle: Is 87310784623 a composite number?
Therefore: True
Puzzle: Is 12018959 a prime number?
Therefore: False
Puzzle: Is 52393650077 a prime number?
Therefore: True
Puzzle: Is 9175643 a prime number?
Therefore: False
Puzzle: Is 32032941 a composite number?
Therefore: True
Puzzle: Is 21953539 a composite number?
Therefore: True
Puzzle: Is 42130846 a composite number?
Therefore: True
Puzzle: Is 1111955687 a prime number?
Therefore: False
Puzzle: Is 84889129393 a composite number?
Therefore: False
Puzzle: Is 226056937 prime?
Therefore: False
Puzzle: Is 137503006 a composite number?
Therefore: True
Puzzle: Is 1008655 a prime number?
Therefore: False
Puzzle: Is 30335 prime?
Therefore: False
Puzzle: Is 507632077 a composite number?
Therefore: False
Puzzle: Is 704870697 prime?
Therefore: False
Puzzle: Is 1424624447 a composite number?
Therefore: False
Puzzle: I
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arithmetic: nearest integer root
--------------------------------
Task: What is the fifth root of 281646 to the nearest integer?
Sol: 12
Task: What is the cube root of 847192 to the nearest integer?
Sol: 95
Task: What is the third root of 290056 to the nearest integer?
Sol: 66
Task: What is 1592 to the power of 1/2, to the nearest integer?
Sol: 40
Task: What is the ninth root of 2406870 to the nearest integer?
Sol: 5
Task: What is the third root of 10229504 to the nearest integer?
Sol: 217
Task: What is the third root of 366603992 to the nearest integer?
Sol: 716
Task: What is 2684 to the power of 1/3, to the nearest integer?
Sol: 14
Task: What is the square root of 37606624 to the nearest integer?
Sol: 6132
Task: What is the eighth root of 23711 to the nearest integer?
Sol: 4
Task: What is the cube root of 9822 to the nearest integer?
Sol: 21
Task: What is the square root of 154737 to the nearest integer?
Sol: 393
Task: What is 1146331 to the power of 1/2, to the nearest integer?
Sol: 1071
Task: What is 13415244 to the power of 1/10, to the nearest integer?
Sol: 5
Task: What is the tenth root of 292658913 to the nearest integer?
Sol: 7
Task: What is 4391 to the power of 1/2, to the nearest integer?
Sol: 66
Task: What is the fifth root of 7378 to the nearest integer?
Sol: 6
Task: What is 7523 to the power of 1/3, to the nearest integer?
Sol: 20
Task: What is the third root of 1461 to the nearest integer?
Sol: 11
Task: What is the seventh root of 799419321 to the nearest integer?
Sol: 19
Task: What is the fourth root of 1663490 to the nearest integer?
Sol: 36
Task: What is 170424 to the power of 1/3, to the nearest integer?
Sol: 55
Task: What is 128108 to the power of 1/3, to the nearest integer?
Sol: 50
Task: What is 657343 to the power of 1/2, to the nearest integer?
Sol: 811
Task: What is the square root of 2064021498 to the nearest integer?
Sol: 45432
Task: What is the square root of 41983 to the nearest integer?
Sol: 205
Task: What is 267558396 to the power of 1
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numbers: is prime
-----------------
Conundrum: Is 22805174209 composite?
Derivation: True
Conundrum: Is 25793 a prime number?
Derivation: True
Conundrum: Is 1023887 a composite number?
Derivation: True
Conundrum: Is 6229 a composite number?
Derivation: False
Conundrum: Is 264871 a composite number?
Derivation: False
Conundrum: Is 56549237 prime?
Derivation: True
Conundrum: Is 7785731 a composite number?
Derivation: False
Conundrum: Is 63927143941 composite?
Derivation: True
Conundrum: Is 6574553 prime?
Derivation: False
Conundrum: Is 66293 a composite number?
Derivation: False
Conundrum: Is 252012317 prime?
Derivation: True
Conundrum: Is 364241 composite?
Derivation: False
Conundrum: Is 1128481943 prime?
Derivation: True
Conundrum: Is 117419917 prime?
Derivation: True
Conundrum: Is 4051445921 a prime number?
Derivation: True
Conundrum: Is 223516063 composite?
Derivation: True
Conundrum: Is 8691 prime?
Derivation: False
Conundrum: Is 6010919 prime?
Derivation: True
Conundrum: Is 1986042499 composite?
Derivation: True
Conundrum: Is 7940795 a composite number?
Derivation: True
Conundrum: Is 257973 prime?
Derivation: False
Conundrum: Is 1727 prime?
Derivation: False
Conundrum: Is 219108397 prime?
Derivation: True
Conundrum: Is 1080071 a prime number?
Derivation: False
Conundrum: Is 4437101 a composite number?
Derivation: True
Conundrum: Is 1766315 prime?
Derivation: False
Conundrum: Is 45786847 a composite number?
Derivation: False
Conundrum: Is 1213289257 composite?
Derivation: True
Conundrum: Is 21781094 prime?
Derivation: False
Conundrum: Is 4908241 a composite number?
Derivation: True
Conundrum: Is 799958657 composite?
Derivation: False
Conundrum: Is 811234157 composite?
Derivation: False
Conundrum: Is 2363938 prime?
Derivation: False
Conundrum: Is 7506398453 prime?
Derivation: True
Conundrum: Is 215643427 prime?
Derivation: False
Conundrum: Is 40739 prime?
Derivation: True
Conundrum: Is 52453 composite?
Derivation: False
Conundrum: Is 21269 composite?
Derivation: F
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probability: swr p level set
----------------------------
Question: Three letters picked without replacement from dittltiidlllddldl. Give prob of picking 3 d.
Result: 1/68
Question: Two letters picked without replacement from {r: 2, e: 2, w: 1, u: 1}. Give prob of picking 1 e and 1 u.
Result: 2/15
Question: Two letters picked without replacement from gnsgsggsgsg. What is prob of picking 2 g?
Result: 3/11
Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from wggmwwmmgmww?
Result: 10/33
Question: Two letters picked without replacement from rauwrxa. What is prob of picking 2 a?
Result: 1/21
Question: Three letters picked without replacement from {n: 1, i: 1, v: 2, o: 2, h: 1, f: 1}. Give prob of picking 1 f, 1 o, and 1 h.
Result: 1/28
Question: Two letters picked without replacement from xmmxjxmmmmmjmmmmjxmj. Give prob of picking 2 j.
Result: 3/95
Question: What is prob of picking 1 a and 2 e when three letters picked without replacement from abebeepeeaaabvbe?
Result: 3/28
Question: Two letters picked without replacement from vnvvnnvnhvnnvnnvnh. Give prob of picking 1 h and 1 v.
Result: 14/153
Question: What is prob of picking 1 b, 1 n, and 1 f when three letters picked without replacement from {n: 2, j: 1, f: 4, k: 1, b: 2, a: 4}?
Result: 4/91
Question: What is prob of picking 2 s and 1 u when three letters picked without replacement from ppsuasuausuu?
Result: 3/44
Question: Calculate prob of picking 1 u and 3 o when four letters picked without replacement from {o: 5, n: 8, u: 5}.
Result: 5/306
Question: Calculate prob of picking 1 x, 1 v, 1 t, and 1 y when four letters picked without replacement from iihtixyiyytv.
Result: 2/165
Question: Calculate prob of picking 2 y and 1 x when three letters picked without replacement from jjjjuxjxxxyujyaxjasa.
Result: 1/228
Question: Calculate prob of picking 1 u, 1 q, and 1 l when three letters picked without replacement from {u: 7, z: 5, m: 1, q: 2, l: 2, y: 3}.
Result: 7/285
Question: Ca
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numbers: gcd
------------
Subquestion: What is the greatest common divisor of 10744 and 2902223?
Response: 1343
Subquestion: Calculate the greatest common factor of 3737520 and 696.
Response: 696
Subquestion: Calculate the highest common factor of 36 and 9.
Response: 9
Subquestion: Calculate the highest common divisor of 536176 and 2256.
Response: 752
Subquestion: Calculate the greatest common divisor of 480 and 18.
Response: 6
Subquestion: Calculate the greatest common factor of 22 and 374.
Response: 22
Subquestion: What is the greatest common factor of 1197 and 665?
Response: 133
Subquestion: Calculate the greatest common factor of 157593 and 401.
Response: 401
Subquestion: Calculate the highest common factor of 32 and 4336.
Response: 16
Subquestion: What is the greatest common divisor of 2190 and 5256?
Response: 438
Subquestion: Calculate the highest common factor of 69 and 2025011379.
Response: 69
Subquestion: Calculate the highest common divisor of 375 and 113075.
Response: 25
Subquestion: Calculate the greatest common factor of 913 and 10047235.
Response: 11
Subquestion: Calculate the highest common divisor of 36438 and 270.
Response: 6
Subquestion: What is the highest common divisor of 1280 and 2383440?
Response: 80
Subquestion: Calculate the highest common divisor of 725 and 82765.
Response: 5
Subquestion: What is the greatest common divisor of 3610 and 666406?
Response: 722
Subquestion: Calculate the highest common divisor of 976 and 16.
Response: 16
Subquestion: What is the highest common factor of 992 and 62?
Response: 62
Subquestion: Calculate the highest common divisor of 824780 and 6325.
Response: 1265
Subquestion: What is the highest common divisor of 167 and 1096689?
Response: 167
Subquestion: What is the highest common factor of 934820 and 20?
Response: 20
Subquestion: Calculate the highest common factor of 384 and 78529632.
Response: 96
Subquestion: What is the highest common divisor of 1284 and 31344366?
Response: 642
Subquestion: Calculate the gr
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numbers: place value
--------------------
Q-: What is the thousands digit of 118744?
Result: 8
Q-: What is the units digit of 5492?
Result: 2
Q-: What is the tens digit of 623?
Result: 2
Q-: What is the ten thousands digit of 536310?
Result: 3
Q-: What is the ten thousands digit of 4136847?
Result: 3
Q-: What is the ten thousands digit of 21624?
Result: 2
Q-: What is the hundreds digit of 599?
Result: 5
Q-: What is the ten millions digit of 172410148?
Result: 7
Q-: What is the ten thousands digit of 161465?
Result: 6
Q-: What is the tens digit of 2616?
Result: 1
Q-: What is the millions digit of 1522684?
Result: 1
Q-: What is the tens digit of 66294790?
Result: 9
Q-: What is the hundreds digit of 63549?
Result: 5
Q-: What is the tens digit of 404840?
Result: 4
Q-: What is the hundreds digit of 8568?
Result: 5
Q-: What is the ten thousands digit of 6090757?
Result: 9
Q-: What is the hundred thousands digit of 38654399?
Result: 6
Q-: What is the hundreds digit of 201459?
Result: 4
Q-: What is the tens digit of 8357?
Result: 5
Q-: What is the ten thousands digit of 114271?
Result: 1
Q-: What is the tens digit of 3208440?
Result: 4
Q-: What is the hundred thousands digit of 1960553603?
Result: 5
Q-: What is the millions digit of 12132172?
Result: 2
Q-: What is the ten thousands digit of 270019?
Result: 7
Q-: What is the hundreds digit of 28098540?
Result: 5
Q-: What is the hundreds digit of 43274?
Result: 2
Q-: What is the thousands digit of 52164774?
Result: 4
Q-: What is the hundreds digit of 55584?
Result: 5
Q-: What is the hundred thousands digit of 5277753?
Result: 2
Q-: What is the hundreds digit of 7687867?
Result: 8
Q-: What is the millions digit of 3657586018?
Result: 7
Q-: What is the ten thousands digit of 39110103?
Result: 1
Q-: What is the thousands digit of 524344?
Result: 4
Q-: What is the hundreds digit of 2272008?
Result: 0
Q-: What is the millions digit of 4609294?
Result: 4
Q-: What is the units digit of 28872?
Result: 2
Q-: What is the ten millions d
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numbers: is factor
------------------
Challenge: Is 954746822 a multiple of 6658?
Derivation: False
Challenge: Does 52 divide 65780?
Derivation: True
Challenge: Is 19782 a multiple of 18?
Derivation: True
Challenge: Is 5668 a multiple of 5?
Derivation: False
Challenge: Is 266 a factor of 594244?
Derivation: True
Challenge: Is 104 a factor of 345800?
Derivation: True
Challenge: Is 841653 a multiple of 51?
Derivation: True
Challenge: Is 54 a factor of 79633044?
Derivation: True
Challenge: Is 81 a multiple of 4?
Derivation: False
Challenge: Is 7713476 a multiple of 15?
Derivation: False
Challenge: Is 18775680 a multiple of 896?
Derivation: True
Challenge: Is 72 a factor of 12658?
Derivation: False
Challenge: Does 84 divide 36686244?
Derivation: True
Challenge: Is 2 a factor of 199?
Derivation: False
Challenge: Does 266 divide 217108?
Derivation: False
Challenge: Does 129 divide 1032?
Derivation: True
Challenge: Is 3528 a multiple of 24?
Derivation: True
Challenge: Is 6 a factor of 885340?
Derivation: False
Challenge: Is 5 a factor of 30?
Derivation: True
Challenge: Is 11003075 a multiple of 25?
Derivation: True
Challenge: Is 47107 a multiple of 4?
Derivation: False
Challenge: Does 172 divide 13056588?
Derivation: False
Challenge: Does 10 divide 3410?
Derivation: True
Challenge: Is 24447630 a multiple of 22?
Derivation: False
Challenge: Is 54823392 a multiple of 1248?
Derivation: True
Challenge: Is 1289029509 a multiple of 1773?
Derivation: True
Challenge: Is 12 a factor of 2230374?
Derivation: False
Challenge: Does 54 divide 5136?
Derivation: False
Challenge: Is 2909298 a multiple of 14?
Derivation: True
Challenge: Is 271 a factor of 2886011?
Derivation: False
Challenge: Is 127 a factor of 3810?
Derivation: True
Challenge: Is 3088615 a multiple of 757?
Derivation: False
Challenge: Does 10 divide 174629?
Derivation: False
Challenge: Does 69 divide 14145?
Derivation: True
Challenge: Is 255 a factor of 99705?
Derivation: True
Challenge: Is 1523 a factor of 214733862?
Deri
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numbers: is factor
------------------
Question: Is 4095 a multiple of 56?
Result: False
Question: Does 65 divide 19240?
Result: True
Question: Is 2 a factor of 2108?
Result: True
Question: Does 21 divide 92672937?
Result: True
Question: Is 1181609 a multiple of 48?
Result: False
Question: Is 91 a factor of 141414?
Result: True
Question: Is 66 a factor of 1584?
Result: True
Question: Does 63 divide 124425?
Result: True
Question: Does 6 divide 574?
Result: False
Question: Does 195 divide 46484?
Result: False
Question: Is 4895 a multiple of 38?
Result: False
Question: Is 9 a factor of 23559?
Result: False
Question: Does 87 divide 274570?
Result: False
Question: Is 44122 a multiple of 26?
Result: True
Question: Is 5 a factor of 1051175?
Result: True
Question: Is 273 a multiple of 91?
Result: True
Question: Does 22 divide 1367?
Result: False
Question: Is 11079261 a multiple of 69?
Result: True
Question: Is 27 a factor of 377131?
Result: False
Question: Is 36 a factor of 2298?
Result: False
Question: Is 564 a factor of 289976?
Result: False
Question: Is 421 a factor of 37309441?
Result: True
Question: Does 74 divide 1757?
Result: False
Question: Is 3 a factor of 1269?
Result: True
Question: Is 465819 a multiple of 129?
Result: True
Question: Is 2952012 a multiple of 678?
Result: True
Question: Does 25 divide 36077575?
Result: True
Question: Is 34 a factor of 120564?
Result: True
Question: Is 632 a factor of 496594?
Result: False
Question: Is 2956 a factor of 10928332?
Result: True
Question: Is 43569 a multiple of 63?
Result: False
Question: Is 9438055 a multiple of 785?
Result: True
Question: Is 2541 a factor of 703630851?
Result: True
Question: Does 19 divide 89291?
Result: False
Question: Does 110 divide 61829533?
Result: False
Question: Is 108621440 a multiple of 10?
Result: True
Question: Is 99 a factor of 6633?
Result: True
Question: Is 1129 a multiple of 8?
Result: False
Question: Is 45061540 a multiple of 95?
Result: True
Question: Is 78643719 a multiple of 693?
Re
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probability: swr p sequence
---------------------------
Puzzle: Four letters picked without replacement from {t: 7, h: 2, l: 9}. What is prob of sequence tlhh?
Yields: 7/4080
Puzzle: What is prob of sequence mb when two letters picked without replacement from {w: 2, b: 6, p: 4, m: 6}?
Yields: 2/17
Puzzle: Three letters picked without replacement from {w: 9, g: 9}. Give prob of sequence www.
Yields: 7/68
Puzzle: Four letters picked without replacement from {s: 3, y: 8}. Give prob of sequence ysyy.
Yields: 7/55
Puzzle: Calculate prob of sequence evex when four letters picked without replacement from eevvwxgvwve.
Yields: 1/330
Puzzle: What is prob of sequence immm when four letters picked without replacement from {m: 4, i: 7}?
Yields: 7/330
Puzzle: Calculate prob of sequence muw when three letters picked without replacement from uwmmwmmmw.
Yields: 5/168
Puzzle: Three letters picked without replacement from fgiggigiiifififgfgg. What is prob of sequence ggi?
Yields: 49/969
Puzzle: Four letters picked without replacement from {v: 11, z: 5}. Give prob of sequence zvzz.
Yields: 11/728
Puzzle: Calculate prob of sequence mqq when three letters picked without replacement from bxxsqqmxqxqq.
Yields: 1/66
Puzzle: Three letters picked without replacement from ttdddtdtttdttztzpztt. What is prob of sequence ttp?
Yields: 11/684
Puzzle: Three letters picked without replacement from rgpgruppppbgjuppp. What is prob of sequence jpr?
Yields: 1/255
Puzzle: Four letters picked without replacement from mmmmmmmmm. What is prob of sequence mmmm?
Yields: 1
Puzzle: Calculate prob of sequence hh when two letters picked without replacement from {q: 2, c: 1, o: 1, h: 2, u: 2, d: 1}.
Yields: 1/36
Puzzle: What is prob of sequence xx when two letters picked without replacement from xhxhpxxxptxhhxxt?
Yields: 7/30
Puzzle: Calculate prob of sequence fblb when four letters picked without replacement from {d: 3, n: 2, b: 3, e: 1, l: 1, f: 1}.
Yields: 1/1320
Puzzle: Four letters picked without replacement f
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numbers: place value
--------------------
Problem #: What is the units digit of 9334?
= : 4
Problem #: What is the thousands digit of 687288228?
= : 8
Problem #: What is the millions digit of 336363730?
= : 6
Problem #: What is the hundreds digit of 506851?
= : 8
Problem #: What is the hundred thousands digit of 74497824?
= : 4
Problem #: What is the tens digit of 872033?
= : 3
Problem #: What is the thousands digit of 478612?
= : 8
Problem #: What is the hundred millions digit of 445024248?
= : 4
Problem #: What is the tens digit of 198481968?
= : 6
Problem #: What is the hundreds digit of 6570?
= : 5
Problem #: What is the ten millions digit of 2325853667?
= : 2
Problem #: What is the tens digit of 143?
= : 4
Problem #: What is the thousands digit of 1764?
= : 1
Problem #: What is the thousands digit of 157021?
= : 7
Problem #: What is the hundred millions digit of 687997038?
= : 6
Problem #: What is the ten millions digit of 858421739?
= : 5
Problem #: What is the hundred millions digit of 1639499486?
= : 6
Problem #: What is the units digit of 8431218723?
= : 3
Problem #: What is the tens digit of 108606?
= : 0
Problem #: What is the hundreds digit of 5722606?
= : 6
Problem #: What is the tens digit of 12?
= : 1
Problem #: What is the hundred thousands digit of 7697287?
= : 6
Problem #: What is the tens digit of 422?
= : 2
Problem #: What is the tens digit of 1389440?
= : 4
Problem #: What is the units digit of 998?
= : 8
Problem #: What is the tens digit of 11185607?
= : 0
Problem #: What is the hundred thousands digit of 20973619?
= : 9
Problem #: What is the hundreds digit of 7022771?
= : 7
Problem #: What is the thousands digit of 1790863?
= : 0
Problem #: What is the units digit of 205154445?
= : 5
Problem #: What is the tens digit of 11404969?
= : 6
Problem #: What is the tens digit of 4016057?
= : 5
Problem #: What is the tens digit of 73887181?
= : 8
Problem #: What is the hundreds digit of 500604872?
= : 8
Problem #: What is the hundreds digit of 7072?
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probability: swr p sequence
---------------------------
Query: Calculate prob of sequence xu when two letters picked without replacement from xxuxu.
Math A: 3/10
Query: Calculate prob of sequence sy when two letters picked without replacement from {y: 14, s: 1}.
Math A: 1/15
Query: Two letters picked without replacement from hbpbphhpbhppbh. Give prob of sequence bh.
Math A: 10/91
Query: Calculate prob of sequence pp when two letters picked without replacement from pppnppppnnpppppppnpp.
Math A: 12/19
Query: Calculate prob of sequence ax when two letters picked without replacement from hxaqtox.
Math A: 1/21
Query: Three letters picked without replacement from {z: 8, h: 3}. Give prob of sequence hzh.
Math A: 8/165
Query: Four letters picked without replacement from nnndnnnnnnd. What is prob of sequence ddnn?
Math A: 1/55
Query: What is prob of sequence pep when three letters picked without replacement from {m: 2, e: 4, p: 3}?
Math A: 1/21
Query: What is prob of sequence ls when two letters picked without replacement from hlsno?
Math A: 1/20
Query: Four letters picked without replacement from {w: 3, r: 3}. What is prob of sequence rwrr?
Math A: 1/20
Query: Two letters picked without replacement from swxxssdsxox. What is prob of sequence sw?
Math A: 2/55
Query: What is prob of sequence pdhh when four letters picked without replacement from pddhpdhh?
Math A: 3/140
Query: What is prob of sequence vrq when three letters picked without replacement from vqiqiriqrqr?
Math A: 2/165
Query: What is prob of sequence hbbw when four letters picked without replacement from bbbwhbbwh?
Math A: 5/189
Query: Calculate prob of sequence cvvv when four letters picked without replacement from {v: 12, c: 5, r: 1}.
Math A: 55/612
Query: Calculate prob of sequence imma when four letters picked without replacement from {a: 1, y: 5, i: 3, l: 1, p: 1, m: 2}.
Math A: 1/2860
Query: What is prob of sequence dr when two letters picked without replacement from zzrcdzd?
Math A: 1/21
Query: Calculate pro
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numbers: is prime
-----------------
Qn: Is 264266239 a composite number?
Outcome: False
Qn: Is 9084510959 a prime number?
Outcome: True
Qn: Is 19030421 composite?
Outcome: True
Qn: Is 20021 composite?
Outcome: False
Qn: Is 35417 prime?
Outcome: False
Qn: Is 14331587291 a composite number?
Outcome: True
Qn: Is 66407 a composite number?
Outcome: True
Qn: Is 19858927 prime?
Outcome: False
Qn: Is 106852493 prime?
Outcome: False
Qn: Is 29742787 a prime number?
Outcome: False
Qn: Is 358 composite?
Outcome: True
Qn: Is 57874769 a prime number?
Outcome: True
Qn: Is 294064741 a prime number?
Outcome: True
Qn: Is 599404607 a prime number?
Outcome: True
Qn: Is 899028983 composite?
Outcome: True
Qn: Is 1055881 a prime number?
Outcome: True
Qn: Is 1047 composite?
Outcome: True
Qn: Is 5597083417 a composite number?
Outcome: True
Qn: Is 304450489 a composite number?
Outcome: True
Qn: Is 84857 a composite number?
Outcome: False
Qn: Is 7621 prime?
Outcome: True
Qn: Is 19453463 a composite number?
Outcome: True
Qn: Is 13307111 a composite number?
Outcome: True
Qn: Is 185427499 a prime number?
Outcome: True
Qn: Is 1421850691 a composite number?
Outcome: True
Qn: Is 823117 a prime number?
Outcome: True
Qn: Is 44209 a composite number?
Outcome: True
Qn: Is 106163 composite?
Outcome: False
Qn: Is 27143 prime?
Outcome: True
Qn: Is 34163 a composite number?
Outcome: True
Qn: Is 331127 a prime number?
Outcome: True
Qn: Is 6055342745 prime?
Outcome: False
Qn: Is 230147569 prime?
Outcome: True
Qn: Is 23667948637 a composite number?
Outcome: True
Qn: Is 1719377 composite?
Outcome: True
Qn: Is 75177501445 a prime number?
Outcome: False
Qn: Is 53612807 prime?
Outcome: True
Qn: Is 30341 a composite number?
Outcome: False
Qn: Is 1999533 prime?
Outcome: False
Qn: Is 15301151 composite?
Outcome: False
Qn: Is 248579549 prime?
Outcome: False
Qn: Is 1275259 composite?
Outcome: True
Qn: Is 1154221643 composite?
Outcome: False
Qn: Is 1982 a composite number?
Outcome: True
Qn: Is 264827 a prime number?
Ou
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measurement: conversion
-----------------------
Example: How many kilograms are there in 13357.5g?
Result: 13.3575
Example: What is 29/3 of a week in hours?
Result: 1624
Example: Convert 4.976523cm to millimeters.
Result: 49.76523
Example: What is 3/5 of a litre in millilitres?
Result: 600
Example: What is 1.4823894us in minutes?
Result: 0.00000002470649
Example: Convert 7660.72 micrograms to tonnes.
Result: 0.00000000766072
Example: How many grams are there in five eighths of a kilogram?
Result: 625
Example: How many seconds are there in one fifth of a hour?
Result: 720
Example: What is 1/5 of a litre in millilitres?
Result: 200
Example: What is eleven quarters of a century in years?
Result: 275
Example: What is one tenth of a hour in minutes?
Result: 6
Example: Convert 184.865868 nanoseconds to days.
Result: 0.00000000000213965125
Example: How many litres are there in 0.1611162 millilitres?
Result: 0.0001611162
Example: How many months are there in 17/6 of a decade?
Result: 340
Example: What is 0.3265803l in millilitres?
Result: 326.5803
Example: How many nanometers are there in 0.886588km?
Result: 886588000000
Example: Convert 9.7887 millilitres to litres.
Result: 0.0097887
Example: Convert 7946.684t to grams.
Result: 7946684000
Example: What is 6.250437cm in meters?
Result: 0.06250437
Example: What is 11/4 of a microgram in nanograms?
Result: 2750
Example: How many nanograms are there in 1/20 of a microgram?
Result: 50
Example: What is 11/4 of a microgram in nanograms?
Result: 2750
Example: How many tonnes are there in 13.9065 kilograms?
Result: 0.0139065
Example: Convert 3570.2 years to decades.
Result: 357.02
Example: What is one quarter of a hour in minutes?
Result: 15
Example: How many months are there in sixty-eight thirds of a year?
Result: 272
Example: What is 0.0448553ml in litres?
Result: 0.0000448553
Example: How many years are there in 5.097664 decades?
Result: 50.97664
Example: Convert 734558.8 centuries to decades.
Result: 7345588
Example: How many
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numbers: gcd
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Qn: What is the highest common divisor of 4 and 22?
Math A: 2
Qn: Calculate the highest common divisor of 297640503 and 7586.
Math A: 3793
Qn: What is the greatest common factor of 1168 and 73?
Math A: 73
Qn: Calculate the highest common factor of 36 and 105235932.
Math A: 12
Qn: Calculate the highest common factor of 1719371 and 2458.
Math A: 1229
Qn: What is the greatest common divisor of 666 and 337921?
Math A: 37
Qn: What is the greatest common divisor of 1860 and 18228?
Math A: 372
Qn: What is the highest common factor of 84 and 545943972?
Math A: 84
Qn: Calculate the greatest common divisor of 308 and 13244.
Math A: 308
Qn: Calculate the highest common divisor of 1146 and 1910.
Math A: 382
Qn: Calculate the greatest common divisor of 244 and 36844.
Math A: 244
Qn: What is the highest common factor of 57050 and 74025?
Math A: 175
Qn: What is the highest common factor of 344 and 44589194?
Math A: 86
Qn: Calculate the greatest common factor of 6118 and 161.
Math A: 161
Qn: Calculate the highest common factor of 380052 and 3366.
Math A: 306
Qn: What is the highest common divisor of 342909 and 252?
Math A: 63
Qn: Calculate the highest common divisor of 1118 and 10406.
Math A: 86
Qn: What is the highest common factor of 286535 and 11815?
Math A: 85
Qn: Calculate the highest common divisor of 20 and 80455.
Math A: 5
Qn: Calculate the greatest common factor of 7002828 and 7.
Math A: 7
Qn: What is the highest common factor of 238 and 2679778?
Math A: 34
Qn: What is the highest common divisor of 150 and 1106025?
Math A: 75
Qn: Calculate the greatest common factor of 138584 and 18326.
Math A: 34
Qn: What is the greatest common divisor of 704 and 8497984?
Math A: 704
Qn: What is the greatest common factor of 234384 and 144?
Math A: 48
Qn: Calculate the highest common factor of 6696 and 465248.
Math A: 248
Qn: Calculate the highest common factor of 23212 and 2315.
Math A: 1
Qn: What is the highest common divisor of 4185 and 302157?
Math A: 837
Qn:
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measurement: time
-----------------
Given: How many minutes are there between 11:12 PM and 4:30 AM?
Calculation: 318
Given: What is 41 minutes before 7:01 PM?
Calculation: 6:20 PM
Given: What is 660 minutes after 10:34 AM?
Calculation: 9:34 PM
Given: How many minutes are there between 12:46 AM and 4:58 AM?
Calculation: 252
Given: What is 482 minutes before 3:00 AM?
Calculation: 6:58 PM
Given: What is 687 minutes before 10:20 AM?
Calculation: 10:53 PM
Given: What is 376 minutes after 12:12 PM?
Calculation: 6:28 PM
Given: How many minutes are there between 10:49 AM and 5:43 PM?
Calculation: 414
Given: What is 463 minutes before 8:13 AM?
Calculation: 12:30 AM
Given: What is 98 minutes before 11:03 AM?
Calculation: 9:25 AM
Given: How many minutes are there between 11:32 PM and 6:56 AM?
Calculation: 444
Given: How many minutes are there between 7:15 PM and 4:21 AM?
Calculation: 546
Given: What is 539 minutes after 2:44 PM?
Calculation: 11:43 PM
Given: How many minutes are there between 1:47 AM and 4:51 AM?
Calculation: 184
Given: What is 38 minutes before 12:25 PM?
Calculation: 11:47 AM
Given: What is 344 minutes before 4:02 PM?
Calculation: 10:18 AM
Given: How many minutes are there between 5:19 AM and 7:22 AM?
Calculation: 123
Given: What is 255 minutes after 6:39 AM?
Calculation: 10:54 AM
Given: How many minutes are there between 5:19 AM and 10:47 AM?
Calculation: 328
Given: How many minutes are there between 10:21 PM and 11:32 PM?
Calculation: 71
Given: How many minutes are there between 12:22 PM and 10:21 PM?
Calculation: 599
Given: What is 424 minutes before 3:54 AM?
Calculation: 8:50 PM
Given: What is 244 minutes before 8:23 AM?
Calculation: 4:19 AM
Given: What is 345 minutes after 1:16 AM?
Calculation: 7:01 AM
Given: How many minutes are there between 12:26 AM and 12:21 PM?
Calculation: 715
Given: How many minutes are there between 7:38 AM and 6:59 PM?
Calculation: 681
Given: What is 127 minutes after 11:45 PM?
Calculation: 1:52 AM
Given: How many minutes are the
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english
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numbers: gcd
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Q: Calculate the highest common factor of 220781854 and 2986.
Ans: 2986
Q: Calculate the highest common divisor of 1498854 and 28.
Ans: 14
Q: Calculate the highest common factor of 432453 and 21.
Ans: 21
Q: Calculate the greatest common divisor of 306 and 36.
Ans: 18
Q: Calculate the greatest common divisor of 9525 and 48768.
Ans: 381
Q: What is the greatest common divisor of 11388663 and 9?
Ans: 9
Q: Calculate the greatest common divisor of 920 and 360.
Ans: 40
Q: What is the highest common divisor of 46 and 539971?
Ans: 23
Q: What is the highest common factor of 109005 and 390?
Ans: 195
Q: Calculate the greatest common divisor of 795 and 447316131.
Ans: 159
Q: Calculate the greatest common factor of 182 and 42.
Ans: 14
Q: What is the highest common divisor of 1150 and 21785255?
Ans: 115
Q: What is the greatest common factor of 60 and 768?
Ans: 12
Q: What is the greatest common factor of 2829 and 936123?
Ans: 69
Q: What is the highest common factor of 592375 and 324625?
Ans: 875
Q: What is the highest common divisor of 155 and 47617457?
Ans: 31
Q: What is the highest common divisor of 2872 and 18961303?
Ans: 359
Q: What is the highest common divisor of 537896 and 27841800?
Ans: 7576
Q: Calculate the greatest common divisor of 68 and 17.
Ans: 17
Q: What is the greatest common divisor of 19335 and 10950?
Ans: 15
Q: What is the highest common factor of 54 and 1782?
Ans: 54
Q: Calculate the greatest common divisor of 600 and 2793750.
Ans: 150
Q: What is the highest common factor of 14532 and 12?
Ans: 12
Q: What is the highest common divisor of 7 and 7?
Ans: 7
Q: What is the highest common divisor of 49 and 367941?
Ans: 49
Q: What is the highest common divisor of 224 and 192?
Ans: 32
Q: What is the greatest common factor of 3843 and 4095?
Ans: 63
Q: Calculate the greatest common factor of 18 and 4860.
Ans: 18
Q: What is the greatest common divisor of 1334 and 1702?
Ans: 46
Q: What is the greatest common factor of 37305 and 167145?
Ans: 15
Q: Wh
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