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numbers: div remainder
----------------------
Task: What is the remainder when 71074 is divided by 421?
Answer: 346
Task: What is the remainder when 81165469 is divided by 393?
Answer: 358
Task: Calculate the remainder when 2264 is divided by 84.
Answer: 80
Task: Calculate the remainder when 1340860 is divided by 19432.
Answer: 52
Task: What is the remainder when 5262691 is divided by 74?
Answer: 33
Task: Calculate the remainder when 13390689 is divided by 39.
Answer: 0
Task: What is the remainder when 573 is divided by 415?
Answer: 158
Task: Calculate the remainder when 4228 is divided by 1289.
Answer: 361
Task: What is the remainder when 1939892 is divided by 1013?
Answer: 1010
Task: What is the remainder when 39773639 is divided by 30?
Answer: 29
Task: Calculate the remainder when 49 is divided by 36.
Answer: 13
Task: Calculate the remainder when 24 is divided by 7.
Answer: 3
Task: What is the remainder when 1259247 is divided by 797?
Answer: 784
Task: Calculate the remainder when 119039 is divided by 72.
Answer: 23
Task: What is the remainder when 3033 is divided by 12?
Answer: 9
Task: What is the remainder when 1928 is divided by 524?
Answer: 356
Task: What is the remainder when 697 is divided by 33?
Answer: 4
Task: What is the remainder when 301864 is divided by 149?
Answer: 139
Task: Calculate the remainder when 5364271 is divided by 4504.
Answer: 7
Task: What is the remainder when 962 is divided by 731?
Answer: 231
Task: What is the remainder when 837 is divided by 216?
Answer: 189
Task: What is the remainder when 10366 is divided by 65?
Answer: 31
Task: Calculate the remainder when 588230 is divided by 17300.
Answer: 30
Task: What is the remainder when 721 is divided by 149?
Answer: 125
Task: What is the remainder when 3655 is divided by 1207?
Answer: 34
Task: Calculate the remainder when 81 is divided by 67.
Answer: 14
Task: Calculate the remainder when 2952066 is divided by 2952052.
Answer: 14
Task: Calculate the remainder when 48233 is divided by 11982.
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measurement: time
-----------------
Math Problem: How many minutes are there between 8:00 PM and 3:08 AM?
Soln: 428
Math Problem: How many minutes are there between 1:53 AM and 1:11 PM?
Soln: 678
Math Problem: What is 414 minutes after 7:50 PM?
Soln: 2:44 AM
Math Problem: How many minutes are there between 1:28 PM and 11:12 PM?
Soln: 584
Math Problem: How many minutes are there between 5:41 AM and 3:48 PM?
Soln: 607
Math Problem: What is 252 minutes after 10:14 AM?
Soln: 2:26 PM
Math Problem: What is 424 minutes before 3:32 PM?
Soln: 8:28 AM
Math Problem: What is 581 minutes before 5:45 AM?
Soln: 8:04 PM
Math Problem: What is 101 minutes before 7:25 AM?
Soln: 5:44 AM
Math Problem: How many minutes are there between 5:21 AM and 6:23 AM?
Soln: 62
Math Problem: How many minutes are there between 2:33 PM and 5:50 PM?
Soln: 197
Math Problem: How many minutes are there between 8:46 AM and 9:46 AM?
Soln: 60
Math Problem: What is 520 minutes before 5:42 AM?
Soln: 9:02 PM
Math Problem: What is 706 minutes before 6:48 AM?
Soln: 7:02 PM
Math Problem: How many minutes are there between 5:36 PM and 10:34 PM?
Soln: 298
Math Problem: What is 260 minutes after 8:57 PM?
Soln: 1:17 AM
Math Problem: What is 404 minutes before 5:11 AM?
Soln: 10:27 PM
Math Problem: What is 543 minutes after 4:55 AM?
Soln: 1:58 PM
Math Problem: How many minutes are there between 1:57 PM and 9:35 PM?
Soln: 458
Math Problem: What is 10 minutes after 3:05 PM?
Soln: 3:15 PM
Math Problem: How many minutes are there between 9:22 AM and 6:20 PM?
Soln: 538
Math Problem: What is 250 minutes after 6:08 PM?
Soln: 10:18 PM
Math Problem: What is 366 minutes after 2:57 AM?
Soln: 9:03 AM
Math Problem: How many minutes are there between 6:05 AM and 8:50 AM?
Soln: 165
Math Problem: What is 680 minutes after 8:32 PM?
Soln: 7:52 AM
Math Problem: What is 681 minutes after 12:00 PM?
Soln: 11:21 PM
Math Problem: How many minutes are there between 6:07 PM and 2:53 AM?
Soln: 526
Math Problem: What is 243 minutes after 5:44 AM?
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numbers: place value
--------------------
Request: What is the hundred thousands digit of 7045752?
Eval: 0
Request: What is the hundreds digit of 938?
Eval: 9
Request: What is the hundreds digit of 1154362?
Eval: 3
Request: What is the millions digit of 53964002?
Eval: 3
Request: What is the thousands digit of 19822942?
Eval: 2
Request: What is the tens digit of 1922?
Eval: 2
Request: What is the thousands digit of 24324174?
Eval: 4
Request: What is the tens digit of 2644?
Eval: 4
Request: What is the thousands digit of 67845149?
Eval: 5
Request: What is the millions digit of 5132553026?
Eval: 2
Request: What is the ten millions digit of 1287310404?
Eval: 8
Request: What is the millions digit of 2746975?
Eval: 2
Request: What is the hundreds digit of 80510?
Eval: 5
Request: What is the thousands digit of 159161?
Eval: 9
Request: What is the tens digit of 57846?
Eval: 4
Request: What is the units digit of 8453?
Eval: 3
Request: What is the hundred thousands digit of 7498948?
Eval: 4
Request: What is the ten thousands digit of 4233093042?
Eval: 9
Request: What is the hundred thousands digit of 244198057?
Eval: 1
Request: What is the thousands digit of 33274055?
Eval: 4
Request: What is the hundreds digit of 572427375?
Eval: 3
Request: What is the hundreds digit of 57437?
Eval: 4
Request: What is the units digit of 31249?
Eval: 9
Request: What is the hundreds digit of 60542?
Eval: 5
Request: What is the thousands digit of 730336?
Eval: 0
Request: What is the hundreds digit of 273318598?
Eval: 5
Request: What is the hundred thousands digit of 4406923915?
Eval: 9
Request: What is the thousands digit of 1923?
Eval: 1
Request: What is the units digit of 590?
Eval: 0
Request: What is the ten millions digit of 33404071?
Eval: 3
Request: What is the thousands digit of 97143072?
Eval: 3
Request: What is the ten thousands digit of 95572995?
Eval: 7
Request: What is the hundred thousands digit of 192441?
Eval: 1
Request: What is the units digit of 324189?
Eval: 9
Request: What i
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english
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numbers: gcd
------------
Statement: Calculate the highest common divisor of 656 and 82.
= : 82
Statement: What is the greatest common divisor of 36 and 3474?
= : 18
Statement: What is the greatest common factor of 395994 and 372?
= : 186
Statement: Calculate the highest common divisor of 1025 and 41.
= : 41
Statement: Calculate the greatest common divisor of 546 and 217.
= : 7
Statement: What is the greatest common factor of 1216 and 26600?
= : 152
Statement: Calculate the highest common factor of 45 and 870.
= : 15
Statement: What is the highest common divisor of 234 and 144?
= : 18
Statement: What is the greatest common divisor of 780 and 244452?
= : 156
Statement: What is the highest common factor of 21114 and 68517?
= : 207
Statement: Calculate the highest common divisor of 8677849 and 53.
= : 53
Statement: What is the highest common divisor of 786 and 72878051?
= : 131
Statement: What is the highest common factor of 416 and 4212?
= : 52
Statement: What is the greatest common factor of 252005586 and 714?
= : 714
Statement: Calculate the highest common factor of 62 and 1786.
= : 2
Statement: Calculate the highest common divisor of 48160574 and 3542.
= : 3542
Statement: What is the greatest common factor of 1676688 and 30?
= : 6
Statement: Calculate the greatest common factor of 505 and 1985.
= : 5
Statement: What is the highest common factor of 125030 and 220?
= : 10
Statement: What is the greatest common factor of 3567 and 7743?
= : 87
Statement: What is the highest common factor of 2115 and 14782205?
= : 235
Statement: What is the highest common factor of 2611 and 2044?
= : 7
Statement: What is the greatest common divisor of 119035 and 4475?
= : 895
Statement: Calculate the highest common divisor of 72025 and 430.
= : 215
Statement: What is the greatest common factor of 64638 and 532?
= : 266
Statement: What is the greatest common factor of 10559120 and 260?
= : 260
Statement: What is the highest common divisor of 1815 and 320?
= : 5
Statement: Calculate the g
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numbers: place value
--------------------
Step: What is the thousands digit of 456657?
A: 6
Step: What is the hundred thousands digit of 288739?
A: 2
Step: What is the units digit of 491426?
A: 6
Step: What is the units digit of 6414691?
A: 1
Step: What is the units digit of 529566156?
A: 6
Step: What is the ten thousands digit of 1641275844?
A: 7
Step: What is the hundreds digit of 2400056250?
A: 2
Step: What is the hundred thousands digit of 41805322?
A: 8
Step: What is the hundred millions digit of 448686782?
A: 4
Step: What is the ten millions digit of 1591199230?
A: 9
Step: What is the tens digit of 7807720?
A: 2
Step: What is the ten thousands digit of 14196069?
A: 9
Step: What is the hundreds digit of 5638?
A: 6
Step: What is the ten thousands digit of 16139298?
A: 3
Step: What is the tens digit of 240186?
A: 8
Step: What is the ten thousands digit of 1560149694?
A: 4
Step: What is the billions digit of 3594353637?
A: 3
Step: What is the hundreds digit of 488020?
A: 0
Step: What is the units digit of 310154?
A: 4
Step: What is the tens digit of 7449608?
A: 0
Step: What is the units digit of 46406?
A: 6
Step: What is the ten millions digit of 207515110?
A: 0
Step: What is the hundred thousands digit of 410382?
A: 4
Step: What is the hundred thousands digit of 3217005?
A: 2
Step: What is the tens digit of 569530?
A: 3
Step: What is the ten thousands digit of 160983?
A: 6
Step: What is the ten millions digit of 1253270221?
A: 5
Step: What is the units digit of 41128?
A: 8
Step: What is the tens digit of 197061?
A: 6
Step: What is the hundreds digit of 506?
A: 5
Step: What is the tens digit of 411326072?
A: 7
Step: What is the hundreds digit of 1421?
A: 4
Step: What is the units digit of 11322490?
A: 0
Step: What is the hundreds digit of 32672?
A: 6
Step: What is the units digit of 7577134?
A: 4
Step: What is the units digit of 4786?
A: 6
Step: What is the units digit of 2658?
A: 8
Step: What is the hundreds digit of 432989?
A: 9
Step: What is the hundred thousan
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numbers: is prime
-----------------
Math Problem: Is 43101351707 a prime number?
Solution: False
Math Problem: Is 1879753 prime?
Solution: False
Math Problem: Is 98553652751 composite?
Solution: True
Math Problem: Is 8648501 a composite number?
Solution: False
Math Problem: Is 203523035 composite?
Solution: True
Math Problem: Is 3021284471 prime?
Solution: True
Math Problem: Is 257099 prime?
Solution: True
Math Problem: Is 609804577 prime?
Solution: True
Math Problem: Is 253781111 a prime number?
Solution: True
Math Problem: Is 1395313 prime?
Solution: False
Math Problem: Is 819437 a composite number?
Solution: False
Math Problem: Is 68633 a composite number?
Solution: False
Math Problem: Is 1034659861 a prime number?
Solution: True
Math Problem: Is 20186836127 prime?
Solution: True
Math Problem: Is 518099 a prime number?
Solution: True
Math Problem: Is 7057 a composite number?
Solution: False
Math Problem: Is 14662807 composite?
Solution: False
Math Problem: Is 2475460159 prime?
Solution: True
Math Problem: Is 25555516282 a prime number?
Solution: False
Math Problem: Is 8651 prime?
Solution: False
Math Problem: Is 6449436439 a prime number?
Solution: True
Math Problem: Is 6821863 a composite number?
Solution: False
Math Problem: Is 5013078349 a composite number?
Solution: True
Math Problem: Is 5387631331 a composite number?
Solution: False
Math Problem: Is 2696151 a prime number?
Solution: False
Math Problem: Is 28813223 a prime number?
Solution: True
Math Problem: Is 1658459 prime?
Solution: False
Math Problem: Is 153742 a composite number?
Solution: True
Math Problem: Is 3079 prime?
Solution: True
Math Problem: Is 28214829569 composite?
Solution: True
Math Problem: Is 4791 prime?
Solution: False
Math Problem: Is 59146339 prime?
Solution: False
Math Problem: Is 196921 a prime number?
Solution: False
Math Problem: Is 14935077583 a prime number?
Solution: False
Math Problem: Is 44938579 prime?
Solution: False
Math Problem: Is 1729001587 a composite number?
Solution:
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numbers: lcm
------------
Subquestion: Calculate the common denominator of -11/8 and -43/2340.
Conclusion: 4680
Subquestion: Calculate the smallest common multiple of 99 and 45.
Conclusion: 495
Subquestion: Calculate the common denominator of 79/3980 and -71/66068.
Conclusion: 330340
Subquestion: What is the smallest common multiple of 798222 and 21532?
Conclusion: 11175108
Subquestion: What is the common denominator of -26/219 and 29/4513955?
Conclusion: 13541865
Subquestion: Calculate the common denominator of 60/77 and 8/3.
Conclusion: 231
Subquestion: Calculate the smallest common multiple of 224 and 2244596.
Conclusion: 125697376
Subquestion: Calculate the smallest common multiple of 91 and 78.
Conclusion: 546
Subquestion: What is the lowest common multiple of 1106224 and 184?
Conclusion: 25443152
Subquestion: Calculate the lowest common multiple of 165 and 165.
Conclusion: 165
Subquestion: What is the common denominator of 81/7109830 and 37/65004160?
Conclusion: 455029120
Subquestion: Calculate the common denominator of -91/72 and -19/588.
Conclusion: 3528
Subquestion: Calculate the least common multiple of 15050 and 229061.
Conclusion: 11453050
Subquestion: What is the lowest common multiple of 211899 and 759?
Conclusion: 2330889
Subquestion: What is the least common multiple of 22 and 147306?
Conclusion: 1620366
Subquestion: Calculate the common denominator of 101/18234530 and 67/3646906.
Conclusion: 18234530
Subquestion: Find the common denominator of 27 and 95/1136.
Conclusion: 1136
Subquestion: What is the lowest common multiple of 2214 and 180?
Conclusion: 22140
Subquestion: Calculate the least common multiple of 6212 and 4.
Conclusion: 6212
Subquestion: Calculate the common denominator of -131/41496 and -1/378.
Conclusion: 373464
Subquestion: Calculate the common denominator of -59/3369 and -143/24.
Conclusion: 26952
Subquestion: Calculate the smallest common multiple of 60762 and 18696.
Conclusion: 243048
Subquestion: What is the least common multiple
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numbers: place value
--------------------
Q=: What is the tens digit of 9607?
Response: 0
Q=: What is the ten millions digit of 234573338?
Response: 3
Q=: What is the hundred thousands digit of 6139227?
Response: 1
Q=: What is the hundred thousands digit of 1155218?
Response: 1
Q=: What is the millions digit of 17737793?
Response: 7
Q=: What is the thousands digit of 276359?
Response: 6
Q=: What is the hundreds digit of 1678270?
Response: 2
Q=: What is the hundred millions digit of 202218941?
Response: 2
Q=: What is the tens digit of 6973?
Response: 7
Q=: What is the thousands digit of 1279?
Response: 1
Q=: What is the millions digit of 20723053?
Response: 0
Q=: What is the units digit of 843?
Response: 3
Q=: What is the ten millions digit of 67171480?
Response: 6
Q=: What is the units digit of 2895907597?
Response: 7
Q=: What is the ten thousands digit of 246858?
Response: 4
Q=: What is the millions digit of 27879744?
Response: 7
Q=: What is the thousands digit of 55998055?
Response: 8
Q=: What is the millions digit of 108414395?
Response: 8
Q=: What is the thousands digit of 3144?
Response: 3
Q=: What is the hundred millions digit of 1971384525?
Response: 9
Q=: What is the hundreds digit of 161589?
Response: 5
Q=: What is the tens digit of 1320?
Response: 2
Q=: What is the thousands digit of 381845?
Response: 1
Q=: What is the millions digit of 27933152?
Response: 7
Q=: What is the hundred thousands digit of 41563612?
Response: 5
Q=: What is the hundred millions digit of 345626345?
Response: 3
Q=: What is the millions digit of 7109776?
Response: 7
Q=: What is the units digit of 5277?
Response: 7
Q=: What is the tens digit of 282805213?
Response: 1
Q=: What is the hundreds digit of 1208?
Response: 2
Q=: What is the hundreds digit of 438672414?
Response: 4
Q=: What is the billions digit of 2045219479?
Response: 2
Q=: What is the hundred millions digit of 253971528?
Response: 2
Q=: What is the tens digit of 8289?
Response: 8
Q=: What is the tens digit of 813871239?
R
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english
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probability: swr p sequence
---------------------------
Example: Four letters picked without replacement from {z: 3, k: 6, n: 5, r: 1}. Give prob of sequence rzkk.
Ans: 1/364
Example: Calculate prob of sequence ivvb when four letters picked without replacement from {r: 2, f: 3, v: 2, i: 3, j: 7, b: 1}.
Ans: 1/12240
Example: Three letters picked without replacement from {z: 2, w: 5, r: 1, d: 1}. What is prob of sequence ddz?
Ans: 0
Example: Two letters picked without replacement from kmkkymmkkmtzyz. Give prob of sequence km.
Ans: 10/91
Example: Calculate prob of sequence bk when two letters picked without replacement from bnbnkbkbbn.
Ans: 1/9
Example: Calculate prob of sequence vvf when three letters picked without replacement from {f: 3, v: 3}.
Ans: 3/20
Example: What is prob of sequence plp when three letters picked without replacement from {l: 12, m: 5, p: 2}?
Ans: 4/969
Example: Calculate prob of sequence jvhr when four letters picked without replacement from {j: 4, a: 2, r: 4, v: 1, h: 3, f: 6}.
Ans: 2/4845
Example: What is prob of sequence yyg when three letters picked without replacement from {g: 5, y: 2, f: 5}?
Ans: 1/132
Example: Two letters picked without replacement from ccb. What is prob of sequence cc?
Ans: 1/3
Example: What is prob of sequence uu when two letters picked without replacement from {h: 1, u: 2, r: 1, e: 1, v: 2}?
Ans: 1/21
Example: What is prob of sequence hs when two letters picked without replacement from hhs?
Ans: 1/3
Example: Calculate prob of sequence yyl when three letters picked without replacement from nbybylybmnlymyln.
Ans: 1/56
Example: Calculate prob of sequence rrcy when four letters picked without replacement from uyurcurrurryy.
Ans: 1/286
Example: Four letters picked without replacement from jsbpebe. Give prob of sequence bbjs.
Ans: 1/420
Example: Two letters picked without replacement from {z: 3, x: 2}. What is prob of sequence xx?
Ans: 1/10
Example: Four letters picked without replacement from nlitti. Give prob of sequence i
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english
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numbers: is factor
------------------
Conundrum: Is 85526 a multiple of 131?
Eval: False
Conundrum: Does 21 divide 427?
Eval: False
Conundrum: Is 15 a factor of 6632666?
Eval: False
Conundrum: Is 35 a factor of 852736?
Eval: False
Conundrum: Does 29 divide 180539?
Eval: False
Conundrum: Is 18 a factor of 21?
Eval: False
Conundrum: Is 23739546 a multiple of 13?
Eval: False
Conundrum: Does 18 divide 305630013?
Eval: False
Conundrum: Does 709 divide 532256?
Eval: False
Conundrum: Does 33 divide 3300?
Eval: True
Conundrum: Does 158 divide 141476992?
Eval: True
Conundrum: Does 39 divide 15419859?
Eval: True
Conundrum: Is 24 a factor of 337332?
Eval: False
Conundrum: Is 8 a factor of 440?
Eval: True
Conundrum: Is 317 a factor of 1814376?
Eval: False
Conundrum: Does 40 divide 4183129277?
Eval: False
Conundrum: Is 6 a factor of 1008654?
Eval: True
Conundrum: Is 19732482 a multiple of 66?
Eval: True
Conundrum: Does 294 divide 19869108?
Eval: True
Conundrum: Does 988 divide 13689884?
Eval: False
Conundrum: Is 6935572 a multiple of 73?
Eval: False
Conundrum: Does 104 divide 18720?
Eval: True
Conundrum: Does 33 divide 321552?
Eval: True
Conundrum: Is 480110 a multiple of 25?
Eval: False
Conundrum: Is 336 a multiple of 6?
Eval: True
Conundrum: Does 5 divide 1471940?
Eval: True
Conundrum: Is 222 a factor of 96792?
Eval: True
Conundrum: Is 208578 a multiple of 164?
Eval: False
Conundrum: Does 2 divide 1633?
Eval: False
Conundrum: Does 12 divide 7479?
Eval: False
Conundrum: Is 131 a factor of 275755?
Eval: True
Conundrum: Is 1184 a factor of 83248224?
Eval: True
Conundrum: Does 18 divide 1436135?
Eval: False
Conundrum: Does 42 divide 19840?
Eval: False
Conundrum: Does 176 divide 397936?
Eval: True
Conundrum: Is 1091 a factor of 24540198?
Eval: False
Conundrum: Is 3 a factor of 9229168?
Eval: False
Conundrum: Is 1704975156 a multiple of 62?
Eval: False
Conundrum: Does 37 divide 6867570?
Eval: True
Conundrum: Is 425 a multiple of 17?
Eval: True
Conundrum: Is 142 a factor of 13790?
Ev
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english
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measurement: conversion
-----------------------
Q: How many nanometers are there in 6/25 of a micrometer?
Sol: 240
Q: What is 2395.6917 months in millennia?
Sol: 0.199640975
Q: What is 7.659195 years in decades?
Sol: 0.7659195
Q: What is 5/4 of a meter in millimeters?
Sol: 1250
Q: What is 1/4 of a litre in millilitres?
Sol: 250
Q: Convert 32711.18 microseconds to milliseconds.
Sol: 32.71118
Q: What is 68.7438km in millimeters?
Sol: 68743800
Q: How many weeks are there in 2836.62162us?
Sol: 0.00000000469018125
Q: What is eleven eighths of a kilogram in grams?
Sol: 1375
Q: What is 264.9191 micrograms in grams?
Sol: 0.0002649191
Q: What is 49.0134l in millilitres?
Sol: 49013.4
Q: How many millilitres are there in thirteen fifths of a litre?
Sol: 2600
Q: Convert 3.592596 decades to months.
Sol: 431.11152
Q: How many decades are there in 84.11817 months?
Sol: 0.70098475
Q: How many micrometers are there in twenty-one eighths of a millimeter?
Sol: 2625
Q: What is 51/4 of a kilogram in grams?
Sol: 12750
Q: How many litres are there in 25.82631ml?
Sol: 0.02582631
Q: How many kilograms are there in three fifths of a tonne?
Sol: 600
Q: What is 819742.1 millennia in years?
Sol: 819742100
Q: How many milligrams are there in 7.721798 tonnes?
Sol: 7721798000
Q: How many litres are there in 0.0560272ml?
Sol: 0.0000560272
Q: What is 3/8 of a millennium in years?
Sol: 375
Q: What is fourty-six fifths of a meter in centimeters?
Sol: 920
Q: What is 12/25 of a tonne in kilograms?
Sol: 480
Q: How many micrograms are there in fourty-five halves of a milligram?
Sol: 22500
Q: What is 52.40075 millilitres in litres?
Sol: 0.05240075
Q: How many millilitres are there in eleven eighths of a litre?
Sol: 1375
Q: What is fifty-five quarters of a day in minutes?
Sol: 19800
Q: What is 3/10 of a centimeter in millimeters?
Sol: 3
Q: What is 1/10 of a litre in millilitres?
Sol: 100
Q: How many millilitres are there in 21/5 of a litre?
Sol: 4200
Q: How many micrograms are there in one tenth of a millig
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english
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probability: swr p sequence
---------------------------
Step: Two letters picked without replacement from cqqgdggcqqcpdzpd. Give prob of sequence gc.
Fix: 3/80
Step: Calculate prob of sequence ilne when four letters picked without replacement from ccnecliccccencee.
Fix: 1/5460
Step: Four letters picked without replacement from {c: 3, j: 1, w: 1}. Give prob of sequence cccw.
Fix: 1/20
Step: Two letters picked without replacement from {p: 1, x: 2, b: 1, i: 1, r: 2}. Give prob of sequence br.
Fix: 1/21
Step: What is prob of sequence ama when three letters picked without replacement from {a: 2, z: 2, m: 1, j: 7}?
Fix: 1/660
Step: What is prob of sequence llmm when four letters picked without replacement from yymyllllllylll?
Fix: 0
Step: What is prob of sequence ennk when four letters picked without replacement from {k: 2, e: 2, n: 2}?
Fix: 1/45
Step: Four letters picked without replacement from ppklqqlskppe. What is prob of sequence kelq?
Fix: 1/1485
Step: Three letters picked without replacement from {u: 3, d: 2, e: 2, c: 2, j: 6, v: 2}. What is prob of sequence vdc?
Fix: 1/510
Step: Three letters picked without replacement from {i: 2, v: 1, a: 7}. Give prob of sequence ava.
Fix: 7/120
Step: Three letters picked without replacement from jeejjbbb. Give prob of sequence jbe.
Fix: 3/56
Step: Calculate prob of sequence uw when two letters picked without replacement from {k: 1, o: 2, x: 1, b: 1, w: 1, u: 1}.
Fix: 1/42
Step: What is prob of sequence vvfv when four letters picked without replacement from vzvvvfvfzvffvzvz?
Fix: 2/65
Step: Calculate prob of sequence mhih when four letters picked without replacement from {m: 1, s: 8, i: 1, h: 7}.
Fix: 1/1360
Step: Two letters picked without replacement from {e: 2, y: 1, g: 2, d: 1}. Give prob of sequence ee.
Fix: 1/15
Step: Two letters picked without replacement from llttttltlllllltlll. Give prob of sequence lt.
Fix: 4/17
Step: Four letters picked without replacement from vogpuapog. What is prob of sequence uaog?
Fix: 1/756
Step
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english
|
numbers: is factor
------------------
Topic: Is 167124791 a multiple of 67?
Explanation: False
Topic: Is 47 a factor of 52692?
Explanation: False
Topic: Does 160 divide 24545398?
Explanation: False
Topic: Is 4980 a multiple of 83?
Explanation: True
Topic: Is 181 a factor of 62318880?
Explanation: False
Topic: Is 51 a factor of 857313917?
Explanation: False
Topic: Does 8 divide 5936?
Explanation: True
Topic: Does 117 divide 3510?
Explanation: True
Topic: Is 20025 a multiple of 41?
Explanation: False
Topic: Is 440 a factor of 120843800?
Explanation: True
Topic: Is 11 a factor of 810326024?
Explanation: False
Topic: Does 14 divide 139776?
Explanation: True
Topic: Is 591717275 a multiple of 4555?
Explanation: True
Topic: Does 24 divide 45788?
Explanation: False
Topic: Is 12333360 a multiple of 201?
Explanation: True
Topic: Does 875 divide 1664134?
Explanation: False
Topic: Does 63 divide 87822?
Explanation: True
Topic: Does 6 divide 2622?
Explanation: True
Topic: Is 204 a factor of 214608?
Explanation: True
Topic: Does 16 divide 1792?
Explanation: True
Topic: Is 255 a factor of 262252?
Explanation: False
Topic: Is 56 a factor of 11403?
Explanation: False
Topic: Is 6 a factor of 8744?
Explanation: False
Topic: Is 5346946 a multiple of 368?
Explanation: False
Topic: Does 555 divide 1162725?
Explanation: True
Topic: Is 751674 a multiple of 462?
Explanation: True
Topic: Is 1043460 a multiple of 180?
Explanation: True
Topic: Does 95 divide 28611?
Explanation: False
Topic: Does 40 divide 30582?
Explanation: False
Topic: Is 79 a factor of 1957146?
Explanation: True
Topic: Does 9 divide 9086?
Explanation: False
Topic: Is 20 a factor of 14540?
Explanation: True
Topic: Is 13 a factor of 4472?
Explanation: True
Topic: Does 67 divide 2012479?
Explanation: True
Topic: Does 67 divide 469?
Explanation: True
Topic: Is 3 a factor of 283500634?
Explanation: False
Topic: Is 24 a factor of 22224?
Explanation: True
Topic: Is 47 a factor of 230441?
Explanation: True
Topic: Is 20 a factor of
|
english
|
numbers: gcd
------------
Inquiry: What is the highest common divisor of 1585216 and 1579388?
Solution: 5828
Inquiry: Calculate the greatest common factor of 250 and 1625.
Solution: 125
Inquiry: What is the highest common factor of 240895 and 75?
Solution: 5
Inquiry: Calculate the highest common divisor of 148909255 and 605.
Solution: 605
Inquiry: What is the greatest common factor of 354 and 221250?
Solution: 354
Inquiry: What is the greatest common divisor of 66 and 1111616?
Solution: 22
Inquiry: What is the highest common divisor of 315 and 4284?
Solution: 63
Inquiry: What is the highest common factor of 196191443 and 14811?
Solution: 4937
Inquiry: Calculate the highest common divisor of 3125336 and 24.
Solution: 8
Inquiry: What is the highest common divisor of 7957 and 73?
Solution: 73
Inquiry: What is the greatest common divisor of 241218 and 648?
Solution: 162
Inquiry: Calculate the greatest common factor of 600 and 250.
Solution: 50
Inquiry: Calculate the greatest common divisor of 1023 and 5549.
Solution: 31
Inquiry: Calculate the highest common divisor of 83502 and 3492.
Solution: 18
Inquiry: What is the highest common divisor of 6430830533 and 10643?
Solution: 10643
Inquiry: What is the greatest common divisor of 18 and 201486?
Solution: 6
Inquiry: Calculate the highest common factor of 15355 and 874405.
Solution: 415
Inquiry: What is the highest common divisor of 2507585 and 4624?
Solution: 17
Inquiry: Calculate the greatest common factor of 44188890 and 30.
Solution: 30
Inquiry: Calculate the highest common divisor of 199306 and 227.
Solution: 227
Inquiry: What is the highest common divisor of 74 and 34373?
Solution: 37
Inquiry: Calculate the greatest common divisor of 95675 and 856625.
Solution: 2225
Inquiry: What is the greatest common divisor of 2130 and 15?
Solution: 15
Inquiry: What is the highest common factor of 264001 and 31401?
Solution: 1163
Inquiry: Calculate the highest common divisor of 2682 and 667371.
Solution: 447
Inquiry: What is the hig
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english
|
measurement: time
-----------------
Problem Statement: What is 283 minutes after 2:31 PM?
Conclusion: 7:14 PM
Problem Statement: How many minutes are there between 7:19 PM and 9:55 PM?
Conclusion: 156
Problem Statement: What is 623 minutes before 12:42 AM?
Conclusion: 2:19 PM
Problem Statement: What is 439 minutes after 12:15 AM?
Conclusion: 7:34 AM
Problem Statement: How many minutes are there between 9:06 PM and 3:18 AM?
Conclusion: 372
Problem Statement: What is 662 minutes before 10:03 PM?
Conclusion: 11:01 AM
Problem Statement: What is 244 minutes before 2:34 PM?
Conclusion: 10:30 AM
Problem Statement: How many minutes are there between 12:58 AM and 8:59 AM?
Conclusion: 481
Problem Statement: How many minutes are there between 2:19 AM and 7:56 AM?
Conclusion: 337
Problem Statement: How many minutes are there between 8:54 PM and 9:36 PM?
Conclusion: 42
Problem Statement: What is 636 minutes after 6:46 PM?
Conclusion: 5:22 AM
Problem Statement: How many minutes are there between 4:16 AM and 2:08 PM?
Conclusion: 592
Problem Statement: What is 14 minutes before 10:10 PM?
Conclusion: 9:56 PM
Problem Statement: How many minutes are there between 8:08 AM and 6:20 PM?
Conclusion: 612
Problem Statement: How many minutes are there between 7:58 PM and 8:07 PM?
Conclusion: 9
Problem Statement: What is 204 minutes before 2:07 PM?
Conclusion: 10:43 AM
Problem Statement: What is 359 minutes before 3:13 AM?
Conclusion: 9:14 PM
Problem Statement: What is 620 minutes before 3:07 AM?
Conclusion: 4:47 PM
Problem Statement: How many minutes are there between 6:01 AM and 2:13 PM?
Conclusion: 492
Problem Statement: What is 341 minutes before 1:27 AM?
Conclusion: 7:46 PM
Problem Statement: What is 391 minutes before 4:16 PM?
Conclusion: 9:45 AM
Problem Statement: What is 324 minutes after 10:34 PM?
Conclusion: 3:58 AM
Problem Statement: How many minutes are there between 1:36 AM and 3:26 AM?
Conclusion: 110
Problem Statement: What is 647 minutes after 7:11 AM?
Conclusion: 5:58 PM
Prob
|
english
|
probability: swr p sequence
---------------------------
Q): Calculate prob of sequence rbo when three letters picked without replacement from robpk.
Yields: 1/60
Q): Four letters picked without replacement from {x: 4, a: 3}. What is prob of sequence xxax?
Yields: 3/35
Q): Three letters picked without replacement from cbbccczbbcczzcbzc. Give prob of sequence czz.
Yields: 2/85
Q): Three letters picked without replacement from myffymmoyqmymjfyfffy. What is prob of sequence ymq?
Yields: 1/228
Q): Calculate prob of sequence mpi when three letters picked without replacement from imnpihhiihhgiiiii.
Yields: 3/1360
Q): What is prob of sequence fy when two letters picked without replacement from {y: 2, q: 1, n: 3, f: 1}?
Yields: 1/21
Q): What is prob of sequence rv when two letters picked without replacement from vsvweer?
Yields: 1/21
Q): Two letters picked without replacement from {q: 18, g: 1}. Give prob of sequence qg.
Yields: 1/19
Q): Two letters picked without replacement from {p: 1, l: 2}. Give prob of sequence pl.
Yields: 1/3
Q): What is prob of sequence xhxx when four letters picked without replacement from hxzzxzxxxxzzxzxhzx?
Yields: 7/510
Q): Calculate prob of sequence oqoy when four letters picked without replacement from {o: 7, l: 6, y: 4, q: 1}.
Yields: 7/3060
Q): Two letters picked without replacement from etteewetbte. Give prob of sequence tt.
Yields: 6/55
Q): Two letters picked without replacement from vbllsbvdvlldldllvlb. Give prob of sequence dv.
Yields: 2/57
Q): Four letters picked without replacement from {r: 6, g: 3, t: 4}. Give prob of sequence trgt.
Yields: 9/715
Q): Three letters picked without replacement from oootttottttst. Give prob of sequence soo.
Yields: 1/143
Q): What is prob of sequence nonr when four letters picked without replacement from ronnn?
Yields: 1/20
Q): Two letters picked without replacement from {h: 1, o: 4, l: 1, w: 2}. What is prob of sequence wh?
Yields: 1/28
Q): Calculate prob of sequence pzl when three letters picked without re
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english
|
numbers: is prime
-----------------
Problem: Is 219389543 prime?
Steps: True
Problem: Is 4176571 prime?
Steps: False
Problem: Is 19730747 composite?
Steps: False
Problem: Is 1227423233 a prime number?
Steps: False
Problem: Is 10167 a composite number?
Steps: True
Problem: Is 186111047 a composite number?
Steps: True
Problem: Is 5181212137 composite?
Steps: True
Problem: Is 37483083329 composite?
Steps: False
Problem: Is 1538293 prime?
Steps: True
Problem: Is 48162811 a composite number?
Steps: False
Problem: Is 3691273 a prime number?
Steps: True
Problem: Is 112517 prime?
Steps: False
Problem: Is 29792089 a composite number?
Steps: True
Problem: Is 147431 a prime number?
Steps: False
Problem: Is 941 a composite number?
Steps: False
Problem: Is 3821 a composite number?
Steps: False
Problem: Is 684167357 a composite number?
Steps: False
Problem: Is 109639 a composite number?
Steps: False
Problem: Is 40157212642 prime?
Steps: False
Problem: Is 57433 prime?
Steps: False
Problem: Is 15991 prime?
Steps: True
Problem: Is 123928009 prime?
Steps: False
Problem: Is 2875225867 composite?
Steps: True
Problem: Is 7553175043 a prime number?
Steps: True
Problem: Is 97642117 a prime number?
Steps: True
Problem: Is 9960162217 a prime number?
Steps: False
Problem: Is 13897 a composite number?
Steps: True
Problem: Is 11415471037 composite?
Steps: False
Problem: Is 3297653 prime?
Steps: False
Problem: Is 30335 a prime number?
Steps: False
Problem: Is 6317 a composite number?
Steps: False
Problem: Is 309923821 a prime number?
Steps: False
Problem: Is 713332519 a composite number?
Steps: False
Problem: Is 1889 prime?
Steps: True
Problem: Is 32909 a composite number?
Steps: False
Problem: Is 66872461 composite?
Steps: True
Problem: Is 46773990953 composite?
Steps: False
Problem: Is 6881813153 a composite number?
Steps: False
Problem: Is 9682061 a prime number?
Steps: False
Problem: Is 57370799 a composite number?
Steps: False
Problem: Is 22181 a prime number?
Steps: False
Problem: Is 5226
|
english
|
numbers: is prime
-----------------
Scenario: Is 1891931 a prime number?
Steps: False
Scenario: Is 11602319 a composite number?
Steps: False
Scenario: Is 1074833 a composite number?
Steps: False
Scenario: Is 65022857 composite?
Steps: True
Scenario: Is 45307 composite?
Steps: False
Scenario: Is 7286883677 a composite number?
Steps: True
Scenario: Is 4351582877 a composite number?
Steps: False
Scenario: Is 239909230399 a composite number?
Steps: False
Scenario: Is 213955444655 a prime number?
Steps: False
Scenario: Is 2031457 a prime number?
Steps: True
Scenario: Is 59257 a prime number?
Steps: False
Scenario: Is 56881103 prime?
Steps: False
Scenario: Is 211901971 composite?
Steps: False
Scenario: Is 15901 a composite number?
Steps: False
Scenario: Is 2453 a composite number?
Steps: True
Scenario: Is 61564271 a prime number?
Steps: True
Scenario: Is 4433566717 prime?
Steps: True
Scenario: Is 6311873 a composite number?
Steps: False
Scenario: Is 157281071 prime?
Steps: False
Scenario: Is 54461 a composite number?
Steps: True
Scenario: Is 334283 prime?
Steps: False
Scenario: Is 36674816411 a prime number?
Steps: False
Scenario: Is 5623 a prime number?
Steps: True
Scenario: Is 730241191 composite?
Steps: True
Scenario: Is 33382297617 a prime number?
Steps: False
Scenario: Is 5196950549 a composite number?
Steps: True
Scenario: Is 96463 composite?
Steps: True
Scenario: Is 9369031 a composite number?
Steps: True
Scenario: Is 10035925541 a composite number?
Steps: False
Scenario: Is 10304747 prime?
Steps: False
Scenario: Is 1807519817 prime?
Steps: True
Scenario: Is 311075221 a composite number?
Steps: True
Scenario: Is 10154653 a composite number?
Steps: False
Scenario: Is 4061177 composite?
Steps: False
Scenario: Is 9155 composite?
Steps: True
Scenario: Is 25029443 a composite number?
Steps: True
Scenario: Is 317047 a prime number?
Steps: True
Scenario: Is 276700560179 a prime number?
Steps: True
Scenario: Is 369011 a prime number?
Steps: False
Scenario: Is 3763046579 co
|
english
|
numbers: is prime
-----------------
Exercise: Is 1264072757 a prime number?
Eval: False
Exercise: Is 983869853 a prime number?
Eval: True
Exercise: Is 119442593 prime?
Eval: True
Exercise: Is 7426812427 composite?
Eval: False
Exercise: Is 7371823 a prime number?
Eval: False
Exercise: Is 10901 a prime number?
Eval: False
Exercise: Is 594036707 a composite number?
Eval: True
Exercise: Is 60899 prime?
Eval: True
Exercise: Is 4099 a composite number?
Eval: False
Exercise: Is 7121 composite?
Eval: False
Exercise: Is 1309589 prime?
Eval: True
Exercise: Is 510854731 a prime number?
Eval: True
Exercise: Is 42459811661 composite?
Eval: False
Exercise: Is 19121 a composite number?
Eval: False
Exercise: Is 2880407 composite?
Eval: False
Exercise: Is 479555129 prime?
Eval: False
Exercise: Is 2195 prime?
Eval: False
Exercise: Is 251955787 a prime number?
Eval: True
Exercise: Is 4553 prime?
Eval: False
Exercise: Is 639136571 a prime number?
Eval: True
Exercise: Is 58931 prime?
Eval: False
Exercise: Is 102582191 prime?
Eval: False
Exercise: Is 43531 a prime number?
Eval: False
Exercise: Is 32393 composite?
Eval: True
Exercise: Is 41132636213 composite?
Eval: False
Exercise: Is 64006279 a prime number?
Eval: True
Exercise: Is 86131723 prime?
Eval: True
Exercise: Is 2043290069 a prime number?
Eval: False
Exercise: Is 28928233 composite?
Eval: False
Exercise: Is 12929 a composite number?
Eval: True
Exercise: Is 59989 a composite number?
Eval: True
Exercise: Is 222657 a prime number?
Eval: False
Exercise: Is 55127119 composite?
Eval: False
Exercise: Is 177144761 a prime number?
Eval: True
Exercise: Is 2673431 a prime number?
Eval: True
Exercise: Is 20263 a prime number?
Eval: False
Exercise: Is 5053 prime?
Eval: False
Exercise: Is 192485999 prime?
Eval: True
Exercise: Is 2243340271 composite?
Eval: False
Exercise: Is 428561 a composite number?
Eval: True
Exercise: Is 43382639 a composite number?
Eval: True
Exercise: Is 14137 a composite number?
Eval: True
Exercise: Is 26099 a composit
|
english
|
numbers: is prime
-----------------
Task: Is 2904079 composite?
Calculation: True
Task: Is 53849267 a composite number?
Calculation: False
Task: Is 34518747793 composite?
Calculation: True
Task: Is 66479753 a composite number?
Calculation: False
Task: Is 24250963667 composite?
Calculation: True
Task: Is 671563927 prime?
Calculation: True
Task: Is 9986551 a composite number?
Calculation: True
Task: Is 45617863 a composite number?
Calculation: True
Task: Is 177644143 prime?
Calculation: True
Task: Is 1637305993 prime?
Calculation: False
Task: Is 17528620289 composite?
Calculation: True
Task: Is 124680369309 a prime number?
Calculation: False
Task: Is 341027 composite?
Calculation: False
Task: Is 12860000273 a prime number?
Calculation: True
Task: Is 3342149 a composite number?
Calculation: True
Task: Is 9031 prime?
Calculation: False
Task: Is 24810414641 prime?
Calculation: False
Task: Is 518261683 a composite number?
Calculation: True
Task: Is 72183067849 a prime number?
Calculation: True
Task: Is 9115451 a composite number?
Calculation: True
Task: Is 6740798863 a composite number?
Calculation: False
Task: Is 130973221 prime?
Calculation: True
Task: Is 1664167 composite?
Calculation: True
Task: Is 447541 prime?
Calculation: True
Task: Is 30400093 a composite number?
Calculation: True
Task: Is 557 a prime number?
Calculation: True
Task: Is 257145323 prime?
Calculation: False
Task: Is 11072749 prime?
Calculation: False
Task: Is 90371 a composite number?
Calculation: False
Task: Is 14099893 composite?
Calculation: False
Task: Is 14753623 composite?
Calculation: False
Task: Is 2672846543 a composite number?
Calculation: True
Task: Is 112665899 a prime number?
Calculation: False
Task: Is 56476207 composite?
Calculation: False
Task: Is 24671 a composite number?
Calculation: False
Task: Is 896138818 prime?
Calculation: False
Task: Is 45335471 prime?
Calculation: False
Task: Is 82931734733 a prime number?
Calculation: True
Task: Is 203279923393 a composite number?
Calculatio
|
english
|
numbers: is factor
------------------
Example: Is 379251980 a multiple of 212?
Derivation: False
Example: Is 28705502 a multiple of 122?
Derivation: True
Example: Is 201787 a multiple of 316?
Derivation: False
Example: Is 852 a factor of 1094234?
Derivation: False
Example: Does 6 divide 6645500?
Derivation: False
Example: Does 111 divide 201050?
Derivation: False
Example: Is 16108484 a multiple of 28?
Derivation: True
Example: Does 8 divide 856152?
Derivation: True
Example: Is 3168 a multiple of 12?
Derivation: True
Example: Is 13 a factor of 12552297?
Derivation: False
Example: Is 230029770 a multiple of 154?
Derivation: False
Example: Is 5561122 a multiple of 637?
Derivation: False
Example: Does 10 divide 4510?
Derivation: True
Example: Is 51810357 a multiple of 22?
Derivation: False
Example: Is 1233 a factor of 3962612934?
Derivation: True
Example: Does 1356 divide 318558309?
Derivation: False
Example: Is 193 a factor of 229100071?
Derivation: True
Example: Is 99 a factor of 31804?
Derivation: False
Example: Does 786 divide 1263888?
Derivation: True
Example: Is 57245224 a multiple of 1072?
Derivation: False
Example: Is 63 a factor of 140868?
Derivation: True
Example: Is 220153290 a multiple of 30?
Derivation: True
Example: Is 266425 a multiple of 69?
Derivation: False
Example: Is 66 a factor of 1099201752?
Derivation: True
Example: Does 7 divide 448?
Derivation: True
Example: Is 72 a factor of 94678168?
Derivation: False
Example: Does 971 divide 40669048?
Derivation: False
Example: Is 775 a factor of 7133804?
Derivation: False
Example: Is 31768 a multiple of 29?
Derivation: False
Example: Is 6 a factor of 878844?
Derivation: True
Example: Is 667976598 a multiple of 7074?
Derivation: True
Example: Is 76 a factor of 684?
Derivation: True
Example: Does 55 divide 18182781?
Derivation: False
Example: Is 8 a factor of 399935?
Derivation: False
Example: Is 308496825 a multiple of 57?
Derivation: True
Example: Does 36 divide 730197?
Derivation: False
Example: Is 42687 a
|
english
|
probability: swr p sequence
---------------------------
Ask: What is prob of sequence aa when two letters picked without replacement from aaxxaayaxaab?
Eval: 7/22
Ask: Four letters picked without replacement from {q: 1, x: 4, e: 5}. What is prob of sequence eqxe?
Eval: 1/63
Ask: Calculate prob of sequence mssg when four letters picked without replacement from tmsggss.
Eval: 1/70
Ask: Three letters picked without replacement from {o: 1, w: 1, i: 1, b: 2}. What is prob of sequence bbo?
Eval: 1/30
Ask: Two letters picked without replacement from {e: 1, d: 1, f: 2, n: 2}. Give prob of sequence en.
Eval: 1/15
Ask: Calculate prob of sequence pppp when four letters picked without replacement from pppp.
Eval: 1
Ask: Three letters picked without replacement from mmmqkqkkk. What is prob of sequence kkk?
Eval: 1/21
Ask: What is prob of sequence nt when two letters picked without replacement from tktlentkleketzlkl?
Eval: 1/68
Ask: Two letters picked without replacement from {l: 5, g: 2, r: 3}. Give prob of sequence lg.
Eval: 1/9
Ask: What is prob of sequence gdj when three letters picked without replacement from jdgegxmgexx?
Eval: 1/330
Ask: Three letters picked without replacement from snnnssnrknnsnr. Give prob of sequence rks.
Eval: 1/273
Ask: Two letters picked without replacement from {h: 3, z: 5, r: 5}. Give prob of sequence hh.
Eval: 1/26
Ask: What is prob of sequence wrsr when four letters picked without replacement from rspsrsrprprw?
Eval: 1/198
Ask: Two letters picked without replacement from ttttitiirrtrar. Give prob of sequence ii.
Eval: 3/91
Ask: Two letters picked without replacement from {g: 6}. Give prob of sequence gg.
Eval: 1
Ask: Four letters picked without replacement from jaaog. Give prob of sequence jaoa.
Eval: 1/60
Ask: Calculate prob of sequence qqss when four letters picked without replacement from fpsqpsqqqsfqq.
Eval: 3/286
Ask: Calculate prob of sequence daa when three letters picked without replacement from {a: 7, c: 2, d: 5}.
Eval: 5/52
Ask: Calculat
|
english
|
numbers: gcd
------------
Item: Calculate the greatest common factor of 1332 and 36.
Math A: 36
Item: What is the highest common divisor of 410 and 30?
Math A: 10
Item: Calculate the greatest common divisor of 311 and 230140.
Math A: 311
Item: Calculate the greatest common divisor of 378 and 49.
Math A: 7
Item: Calculate the highest common factor of 41003 and 131.
Math A: 131
Item: Calculate the highest common divisor of 655536 and 336.
Math A: 336
Item: What is the greatest common divisor of 107047 and 334?
Math A: 167
Item: Calculate the highest common divisor of 259105 and 3119355.
Math A: 3365
Item: What is the greatest common divisor of 10004218 and 322?
Math A: 322
Item: Calculate the highest common factor of 104 and 533.
Math A: 13
Item: What is the greatest common divisor of 208 and 1235416?
Math A: 104
Item: Calculate the greatest common divisor of 684 and 394136.
Math A: 76
Item: What is the highest common divisor of 257450 and 152?
Math A: 38
Item: What is the highest common divisor of 1719 and 81?
Math A: 9
Item: Calculate the highest common divisor of 649 and 236.
Math A: 59
Item: Calculate the highest common factor of 73 and 73.
Math A: 73
Item: Calculate the highest common factor of 248 and 79732.
Math A: 124
Item: What is the highest common divisor of 6 and 1686?
Math A: 6
Item: Calculate the highest common divisor of 814 and 11.
Math A: 11
Item: Calculate the highest common divisor of 129 and 11094.
Math A: 129
Item: What is the highest common divisor of 85415 and 36025?
Math A: 55
Item: Calculate the greatest common divisor of 1320 and 279807.
Math A: 33
Item: Calculate the greatest common factor of 3638 and 34.
Math A: 34
Item: What is the greatest common divisor of 5689384 and 8?
Math A: 8
Item: What is the greatest common factor of 198 and 18?
Math A: 18
Item: What is the greatest common factor of 8 and 205432?
Math A: 8
Item: Calculate the greatest common factor of 4503 and 19.
Math A: 19
Item: What is the highest common divisor of 85 and 4165?
|
english
|
numbers: is prime
-----------------
Subquestion: Is 23545441 a composite number?
Yields: False
Subquestion: Is 6469 prime?
Yields: True
Subquestion: Is 780173 a composite number?
Yields: False
Subquestion: Is 2544195547 composite?
Yields: False
Subquestion: Is 227035509377 prime?
Yields: True
Subquestion: Is 2682307 prime?
Yields: True
Subquestion: Is 780411 composite?
Yields: True
Subquestion: Is 345379 a composite number?
Yields: False
Subquestion: Is 40855741 a prime number?
Yields: True
Subquestion: Is 4212493 composite?
Yields: True
Subquestion: Is 26225401 prime?
Yields: False
Subquestion: Is 6202149647 prime?
Yields: True
Subquestion: Is 2908063 prime?
Yields: True
Subquestion: Is 608781287 a composite number?
Yields: False
Subquestion: Is 25774181 prime?
Yields: True
Subquestion: Is 42566761169 prime?
Yields: False
Subquestion: Is 27949 composite?
Yields: True
Subquestion: Is 25172089 a composite number?
Yields: True
Subquestion: Is 56011127 prime?
Yields: True
Subquestion: Is 80907956002 composite?
Yields: True
Subquestion: Is 4471249 composite?
Yields: True
Subquestion: Is 1838521573 a prime number?
Yields: False
Subquestion: Is 17047 composite?
Yields: False
Subquestion: Is 38642917 composite?
Yields: True
Subquestion: Is 142351 a composite number?
Yields: True
Subquestion: Is 459576077 prime?
Yields: True
Subquestion: Is 4067873 composite?
Yields: True
Subquestion: Is 76491847 prime?
Yields: False
Subquestion: Is 9444736219 composite?
Yields: False
Subquestion: Is 11549 prime?
Yields: True
Subquestion: Is 9892072783 a prime number?
Yields: False
Subquestion: Is 2326311523 a prime number?
Yields: False
Subquestion: Is 335689 a composite number?
Yields: False
Subquestion: Is 7609 composite?
Yields: True
Subquestion: Is 5162138117 a composite number?
Yields: True
Subquestion: Is 5793 a composite number?
Yields: True
Subquestion: Is 34500557341 a prime number?
Yields: False
Subquestion: Is 889349459 prime?
Yields: True
Subquestion: Is 67407 composite?
Yields
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english
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arithmetic: nearest integer root
--------------------------------
Puzzle: What is the fifth root of 670996518 to the nearest integer?
A: 58
Puzzle: What is 33474 to the power of 1/4, to the nearest integer?
A: 14
Puzzle: What is 133752524 to the power of 1/9, to the nearest integer?
A: 8
Puzzle: What is 54371096 to the power of 1/3, to the nearest integer?
A: 379
Puzzle: What is 52246 to the power of 1/3, to the nearest integer?
A: 37
Puzzle: What is 10754 to the power of 1/9, to the nearest integer?
A: 3
Puzzle: What is the sixth root of 91136372 to the nearest integer?
A: 21
Puzzle: What is 417 to the power of 1/3, to the nearest integer?
A: 7
Puzzle: What is 45321 to the power of 1/6, to the nearest integer?
A: 6
Puzzle: What is the fifth root of 395953950 to the nearest integer?
A: 52
Puzzle: What is the cube root of 235800 to the nearest integer?
A: 62
Puzzle: What is the cube root of 1040047 to the nearest integer?
A: 101
Puzzle: What is 5795 to the power of 1/7, to the nearest integer?
A: 3
Puzzle: What is the seventh root of 3076647099 to the nearest integer?
A: 23
Puzzle: What is 290027219 to the power of 1/2, to the nearest integer?
A: 17030
Puzzle: What is 368336644 to the power of 1/10, to the nearest integer?
A: 7
Puzzle: What is 1142 to the power of 1/2, to the nearest integer?
A: 34
Puzzle: What is the third root of 523221 to the nearest integer?
A: 81
Puzzle: What is the sixth root of 35287 to the nearest integer?
A: 6
Puzzle: What is 11498604 to the power of 1/2, to the nearest integer?
A: 3391
Puzzle: What is 85327153 to the power of 1/3, to the nearest integer?
A: 440
Puzzle: What is the cube root of 1433388 to the nearest integer?
A: 113
Puzzle: What is the cube root of 119905325 to the nearest integer?
A: 493
Puzzle: What is 860 to the power of 1/6, to the nearest integer?
A: 3
Puzzle: What is the square root of 190839 to the nearest integer?
A: 437
Puzzle: What is the third root of 6434258 to the nearest integer?
A: 186
Puzzle: What is the sixt
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english
|
numbers: is factor
------------------
Scenario: Is 2090 a factor of 16915615?
Response: False
Scenario: Is 13300404 a multiple of 78?
Response: True
Scenario: Is 32395 a multiple of 11?
Response: True
Scenario: Does 11 divide 1457?
Response: False
Scenario: Is 37 a factor of 208384?
Response: True
Scenario: Is 91365 a multiple of 33?
Response: False
Scenario: Is 21 a factor of 1382197?
Response: False
Scenario: Is 1719932 a multiple of 8?
Response: False
Scenario: Does 7 divide 6388?
Response: False
Scenario: Does 4 divide 11604?
Response: True
Scenario: Does 115 divide 14767?
Response: False
Scenario: Is 18765 a multiple of 165?
Response: False
Scenario: Is 127867508 a multiple of 214?
Response: False
Scenario: Does 167 divide 1707241?
Response: True
Scenario: Is 239 a multiple of 4?
Response: False
Scenario: Is 1613650 a multiple of 33?
Response: False
Scenario: Is 11728174 a multiple of 794?
Response: True
Scenario: Is 1384357 a multiple of 14?
Response: False
Scenario: Is 9667866 a multiple of 391?
Response: True
Scenario: Does 44 divide 14696?
Response: True
Scenario: Is 527522 a multiple of 46?
Response: False
Scenario: Is 1000 a factor of 124088552?
Response: False
Scenario: Does 35 divide 104089?
Response: False
Scenario: Is 63222557 a multiple of 38?
Response: False
Scenario: Is 17 a factor of 14960?
Response: True
Scenario: Is 308304 a multiple of 72?
Response: True
Scenario: Is 17 a factor of 632910?
Response: True
Scenario: Is 31 a factor of 140523?
Response: True
Scenario: Is 22 a factor of 598800796?
Response: True
Scenario: Is 4 a factor of 22592?
Response: True
Scenario: Does 47 divide 190040082?
Response: True
Scenario: Does 98 divide 1558670?
Response: False
Scenario: Is 45 a factor of 7515?
Response: True
Scenario: Does 48 divide 1584?
Response: True
Scenario: Does 23 divide 158?
Response: False
Scenario: Does 13 divide 1721120197?
Response: False
Scenario: Is 2996 a multiple of 28?
Response: True
Scenario: Does 12 divide 85281451?
Response: False
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english
|
probability: swr p sequence
---------------------------
Math Q: Two letters picked without replacement from {o: 5, k: 4, i: 8, g: 1}. What is prob of sequence io?
Explanation: 20/153
Math Q: Two letters picked without replacement from frbbilifj. Give prob of sequence lb.
Explanation: 1/36
Math Q: Four letters picked without replacement from {h: 11, p: 2, n: 1}. Give prob of sequence phph.
Explanation: 5/546
Math Q: Two letters picked without replacement from {o: 10, u: 1, c: 1, m: 3}. Give prob of sequence cc.
Explanation: 0
Math Q: Four letters picked without replacement from ssssssssrsssssssss. What is prob of sequence sssr?
Explanation: 1/18
Math Q: Four letters picked without replacement from {u: 7, p: 2, n: 1, w: 6, f: 3}. Give prob of sequence pfuf.
Explanation: 7/7752
Math Q: Three letters picked without replacement from rerkekrerze. Give prob of sequence kek.
Explanation: 4/495
Math Q: Three letters picked without replacement from kukuk. What is prob of sequence uuk?
Explanation: 1/10
Math Q: Two letters picked without replacement from {l: 6, z: 7}. What is prob of sequence zl?
Explanation: 7/26
Math Q: Calculate prob of sequence kkbf when four letters picked without replacement from {k: 2, f: 9, b: 7}.
Explanation: 7/4080
Math Q: Two letters picked without replacement from ujummausu. Give prob of sequence ms.
Explanation: 1/36
Math Q: Calculate prob of sequence iiii when four letters picked without replacement from {i: 6}.
Explanation: 1
Math Q: What is prob of sequence dd when two letters picked without replacement from dikkdkd?
Explanation: 1/7
Math Q: What is prob of sequence mm when two letters picked without replacement from mvqmgvvgmygvyggyvmym?
Explanation: 1/19
Math Q: Four letters picked without replacement from {o: 7, s: 7}. Give prob of sequence osoo.
Explanation: 35/572
Math Q: Three letters picked without replacement from mtmqqqjqtjmpp. Give prob of sequence jmj.
Explanation: 1/286
Math Q: Three letters picked without replacement from likrq. Wh
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english
|
numbers: is factor
------------------
Math Problem: Is 273 a factor of 930536?
Eval: False
Math Problem: Is 17 a factor of 200481?
Eval: True
Math Problem: Is 68796305 a multiple of 43?
Eval: False
Math Problem: Is 33 a factor of 10791?
Eval: True
Math Problem: Is 75 a factor of 3296192?
Eval: False
Math Problem: Is 6 a factor of 6210?
Eval: True
Math Problem: Is 22827096 a multiple of 162?
Eval: True
Math Problem: Is 36450 a multiple of 6?
Eval: True
Math Problem: Is 1388 a multiple of 48?
Eval: False
Math Problem: Is 444483 even?
Eval: False
Math Problem: Does 13 divide 1859?
Eval: True
Math Problem: Does 28 divide 188938194?
Eval: False
Math Problem: Is 1176 a multiple of 49?
Eval: True
Math Problem: Does 225 divide 993897?
Eval: False
Math Problem: Is 19 a factor of 1550?
Eval: False
Math Problem: Is 100 a multiple of 10?
Eval: True
Math Problem: Does 14 divide 19012?
Eval: True
Math Problem: Does 23 divide 82?
Eval: False
Math Problem: Does 19 divide 1026?
Eval: True
Math Problem: Does 198 divide 132660?
Eval: True
Math Problem: Does 77 divide 812?
Eval: False
Math Problem: Is 731 a factor of 448834?
Eval: True
Math Problem: Does 70 divide 420?
Eval: True
Math Problem: Is 19 a factor of 389?
Eval: False
Math Problem: Is 248800630 a multiple of 70?
Eval: False
Math Problem: Does 36 divide 1728?
Eval: True
Math Problem: Is 919225 a multiple of 25?
Eval: True
Math Problem: Is 813908164 a multiple of 38?
Eval: False
Math Problem: Is 13 a factor of 187?
Eval: False
Math Problem: Does 10 divide 33117480?
Eval: True
Math Problem: Does 375 divide 1324803375?
Eval: True
Math Problem: Is 26 a factor of 4550?
Eval: True
Math Problem: Is 166 a factor of 121406?
Eval: False
Math Problem: Is 2 a factor of 67?
Eval: False
Math Problem: Does 256 divide 54374835?
Eval: False
Math Problem: Is 57057 a multiple of 11?
Eval: True
Math Problem: Does 14 divide 3598462?
Eval: True
Math Problem: Does 9 divide 576?
Eval: True
Math Problem: Does 12 divide 3687?
Eval: False
Math Problem:
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english
|
probability: swr p level set
----------------------------
Situation: Calculate prob of picking 2 c when two letters picked without replacement from {j: 1, r: 2, c: 3, s: 1, b: 12}.
Steps: 1/57
Situation: Two letters picked without replacement from {c: 2, b: 4, o: 6, f: 1}. Give prob of picking 1 c and 1 o.
Steps: 2/13
Situation: What is prob of picking 2 n when two letters picked without replacement from {v: 5, c: 5, n: 2, w: 3, t: 1}?
Steps: 1/120
Situation: Four letters picked without replacement from eeeieieiieei. What is prob of picking 4 i?
Steps: 1/99
Situation: Four letters picked without replacement from qqqphpxhxgqpqqhppp. What is prob of picking 1 h, 1 x, 1 p, and 1 q?
Steps: 6/85
Situation: Three letters picked without replacement from {w: 3, y: 3, e: 1}. What is prob of picking 1 e and 2 w?
Steps: 3/35
Situation: Two letters picked without replacement from {r: 6, t: 4}. What is prob of picking 1 t and 1 r?
Steps: 8/15
Situation: Four letters picked without replacement from aittaataiiiatatitata. Give prob of picking 2 a, 1 i, and 1 t.
Steps: 196/969
Situation: What is prob of picking 2 b when two letters picked without replacement from {b: 2, n: 1, h: 1}?
Steps: 1/6
Situation: Two letters picked without replacement from {y: 4, u: 2, o: 6}. What is prob of picking 2 y?
Steps: 1/11
Situation: Calculate prob of picking 1 z, 1 e, and 1 s when three letters picked without replacement from cezscsscceeee.
Steps: 15/286
Situation: Two letters picked without replacement from {f: 4, b: 1, g: 2, l: 9, k: 1}. Give prob of picking 2 f.
Steps: 3/68
Situation: What is prob of picking 1 s and 1 h when two letters picked without replacement from {b: 2, s: 1, f: 1, h: 1, v: 2, n: 2}?
Steps: 1/36
Situation: Four letters picked without replacement from {a: 3, o: 3}. What is prob of picking 1 a and 3 o?
Steps: 1/5
Situation: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {e: 1, g: 3, u: 4, c: 4, b: 1}.
Steps: 2/39
Situation: Two letters
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english
|
numbers: div remainder
----------------------
Given: Calculate the remainder when 2102 is divided by 39.
Key: 35
Given: Calculate the remainder when 473994 is divided by 237.
Key: 231
Given: What is the remainder when 1307235 is divided by 102?
Key: 3
Given: Calculate the remainder when 34331 is divided by 1397.
Key: 803
Given: Calculate the remainder when 184838 is divided by 163.
Key: 159
Given: What is the remainder when 925 is divided by 32?
Key: 29
Given: Calculate the remainder when 61199 is divided by 12.
Key: 11
Given: What is the remainder when 270064 is divided by 874?
Key: 872
Given: Calculate the remainder when 108480 is divided by 242.
Key: 64
Given: Calculate the remainder when 784794 is divided by 346.
Key: 66
Given: Calculate the remainder when 21676 is divided by 2160.
Key: 76
Given: Calculate the remainder when 1031 is divided by 6.
Key: 5
Given: What is the remainder when 3396540 is divided by 1168?
Key: 1164
Given: What is the remainder when 474 is divided by 225?
Key: 24
Given: What is the remainder when 48988 is divided by 2441?
Key: 168
Given: Calculate the remainder when 11147 is divided by 63.
Key: 59
Given: Calculate the remainder when 311466 is divided by 141.
Key: 138
Given: What is the remainder when 53370016 is divided by 26?
Key: 24
Given: What is the remainder when 36 is divided by 23?
Key: 13
Given: Calculate the remainder when 95875880 is divided by 6722.
Key: 6716
Given: Calculate the remainder when 54 is divided by 12.
Key: 6
Given: What is the remainder when 3838502 is divided by 1279474?
Key: 80
Given: What is the remainder when 1326452 is divided by 20094?
Key: 248
Given: Calculate the remainder when 54611 is divided by 4198.
Key: 37
Given: Calculate the remainder when 186098 is divided by 23261.
Key: 10
Given: Calculate the remainder when 835041 is divided by 49.
Key: 32
Given: Calculate the remainder when 47030 is divided by 50.
Key: 30
Given: Calculate the remainder when 34327337 is divided by 381.
Key: 380
Given: What is th
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english
|
numbers: gcd
------------
Part A: Calculate the greatest common divisor of 3304525 and 230.
Outcome: 115
Part A: Calculate the highest common factor of 35682 and 4.
Outcome: 2
Part A: What is the highest common divisor of 61 and 4026?
Outcome: 61
Part A: What is the greatest common factor of 127665 and 1637505?
Outcome: 45
Part A: What is the highest common factor of 2364 and 108?
Outcome: 12
Part A: What is the highest common factor of 2601 and 310131?
Outcome: 153
Part A: What is the greatest common factor of 1115878406 and 6418?
Outcome: 6418
Part A: What is the greatest common factor of 9246 and 138?
Outcome: 138
Part A: What is the highest common divisor of 10521 and 1089?
Outcome: 9
Part A: What is the highest common factor of 102 and 357?
Outcome: 51
Part A: What is the greatest common divisor of 90 and 110?
Outcome: 10
Part A: What is the greatest common divisor of 261853 and 401?
Outcome: 401
Part A: Calculate the greatest common divisor of 120 and 4170.
Outcome: 30
Part A: Calculate the highest common divisor of 65 and 2041.
Outcome: 13
Part A: Calculate the highest common divisor of 17 and 17.
Outcome: 17
Part A: What is the greatest common factor of 1147 and 31?
Outcome: 31
Part A: Calculate the greatest common divisor of 39009546 and 14775.
Outcome: 591
Part A: Calculate the greatest common divisor of 405 and 1269.
Outcome: 27
Part A: Calculate the highest common divisor of 4653613 and 21413.
Outcome: 437
Part A: Calculate the highest common divisor of 2505 and 375.
Outcome: 15
Part A: What is the greatest common factor of 759365 and 14790?
Outcome: 145
Part A: Calculate the highest common factor of 15 and 11112.
Outcome: 3
Part A: Calculate the greatest common divisor of 11 and 4290.
Outcome: 11
Part A: Calculate the greatest common divisor of 4973 and 1731.
Outcome: 1
Part A: Calculate the greatest common factor of 170838 and 171.
Outcome: 9
Part A: What is the greatest common divisor of 15 and 3435?
Outcome: 15
Part A: What is the greatest common fac
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english
|
measurement: time
-----------------
Ask: What is 67 minutes after 5:49 AM?
Soln: 6:56 AM
Ask: How many minutes are there between 8:39 AM and 9:50 AM?
Soln: 71
Ask: What is 535 minutes before 5:57 PM?
Soln: 9:02 AM
Ask: What is 355 minutes after 12:30 PM?
Soln: 6:25 PM
Ask: What is 204 minutes after 12:01 PM?
Soln: 3:25 PM
Ask: How many minutes are there between 3:43 PM and 4:10 PM?
Soln: 27
Ask: What is 317 minutes after 11:08 AM?
Soln: 4:25 PM
Ask: What is 236 minutes before 11:25 AM?
Soln: 7:29 AM
Ask: What is 439 minutes before 4:52 AM?
Soln: 9:33 PM
Ask: What is 102 minutes after 10:11 PM?
Soln: 11:53 PM
Ask: What is 559 minutes before 11:08 PM?
Soln: 1:49 PM
Ask: How many minutes are there between 2:22 AM and 1:19 PM?
Soln: 657
Ask: What is 568 minutes after 3:07 PM?
Soln: 12:35 AM
Ask: What is 618 minutes after 1:22 AM?
Soln: 11:40 AM
Ask: How many minutes are there between 4:58 AM and 11:54 AM?
Soln: 416
Ask: What is 171 minutes after 12:38 PM?
Soln: 3:29 PM
Ask: What is 19 minutes after 2:34 AM?
Soln: 2:53 AM
Ask: How many minutes are there between 8:08 AM and 12:19 PM?
Soln: 251
Ask: How many minutes are there between 5:01 AM and 7:35 AM?
Soln: 154
Ask: How many minutes are there between 7:58 AM and 6:25 PM?
Soln: 627
Ask: What is 254 minutes before 3:11 AM?
Soln: 10:57 PM
Ask: How many minutes are there between 7:29 PM and 9:48 PM?
Soln: 139
Ask: What is 714 minutes after 2:50 PM?
Soln: 2:44 AM
Ask: How many minutes are there between 7:52 PM and 8:12 PM?
Soln: 20
Ask: What is 115 minutes after 2:13 PM?
Soln: 4:08 PM
Ask: How many minutes are there between 6:35 AM and 6:15 PM?
Soln: 700
Ask: How many minutes are there between 2:18 AM and 9:56 AM?
Soln: 458
Ask: What is 581 minutes after 5:42 AM?
Soln: 3:23 PM
Ask: How many minutes are there between 11:30 PM and 10:39 AM?
Soln: 669
Ask: How many minutes are there between 4:38 AM and 12:02 PM?
Soln: 444
Ask: How many minutes are there between 11:13 AM and 1:49 PM?
Soln: 156
Ask: What is 56 minutes before 6:32
|
english
|
measurement: time
-----------------
Input: How many minutes are there between 8:31 PM and 6:16 AM?
Resolution: 585
Input: How many minutes are there between 1:34 PM and 4:30 PM?
Resolution: 176
Input: How many minutes are there between 1:16 AM and 5:11 AM?
Resolution: 235
Input: What is 127 minutes before 9:54 AM?
Resolution: 7:47 AM
Input: What is 265 minutes after 5:26 AM?
Resolution: 9:51 AM
Input: How many minutes are there between 10:37 AM and 3:16 PM?
Resolution: 279
Input: How many minutes are there between 10:08 PM and 11:02 PM?
Resolution: 54
Input: What is 321 minutes after 12:50 PM?
Resolution: 6:11 PM
Input: What is 97 minutes before 7:08 PM?
Resolution: 5:31 PM
Input: What is 159 minutes after 6:17 AM?
Resolution: 8:56 AM
Input: What is 472 minutes before 1:24 AM?
Resolution: 5:32 PM
Input: What is 568 minutes after 5:53 AM?
Resolution: 3:21 PM
Input: How many minutes are there between 2:16 AM and 10:28 AM?
Resolution: 492
Input: What is 470 minutes after 11:28 PM?
Resolution: 7:18 AM
Input: What is 152 minutes after 12:56 PM?
Resolution: 3:28 PM
Input: How many minutes are there between 8:19 AM and 2:57 PM?
Resolution: 398
Input: What is 631 minutes before 9:59 PM?
Resolution: 11:28 AM
Input: How many minutes are there between 10:54 AM and 7:31 PM?
Resolution: 517
Input: How many minutes are there between 1:04 PM and 8:00 PM?
Resolution: 416
Input: How many minutes are there between 9:46 AM and 9:01 PM?
Resolution: 675
Input: How many minutes are there between 8:53 AM and 12:20 PM?
Resolution: 207
Input: What is 96 minutes after 6:43 PM?
Resolution: 8:19 PM
Input: How many minutes are there between 4:16 PM and 8:16 PM?
Resolution: 240
Input: What is 90 minutes after 7:41 AM?
Resolution: 9:11 AM
Input: What is 315 minutes after 10:07 AM?
Resolution: 3:22 PM
Input: How many minutes are there between 10:26 AM and 6:50 PM?
Resolution: 504
Input: What is 585 minutes after 7:11 AM?
Resolution: 4:56 PM
Input: How many minutes are there between 11:12 PM and 10
|
english
|
numbers: div remainder
----------------------
Task: Calculate the remainder when 65569 is divided by 1042.
Result: 965
Task: Calculate the remainder when 1542 is divided by 119.
Result: 114
Task: Calculate the remainder when 11 is divided by 10.
Result: 1
Task: What is the remainder when 13048109 is divided by 6?
Result: 5
Task: Calculate the remainder when 1316 is divided by 433.
Result: 17
Task: Calculate the remainder when 47500 is divided by 3.
Result: 1
Task: What is the remainder when 2753 is divided by 163?
Result: 145
Task: Calculate the remainder when 1312218 is divided by 656001.
Result: 216
Task: What is the remainder when 1006 is divided by 36?
Result: 34
Task: What is the remainder when 443 is divided by 252?
Result: 191
Task: What is the remainder when 1116 is divided by 505?
Result: 106
Task: What is the remainder when 12462 is divided by 16?
Result: 14
Task: Calculate the remainder when 103 is divided by 8.
Result: 7
Task: Calculate the remainder when 3501 is divided by 575.
Result: 51
Task: Calculate the remainder when 3030075 is divided by 1515036.
Result: 3
Task: What is the remainder when 5483 is divided by 149?
Result: 119
Task: What is the remainder when 14701466 is divided by 8777?
Result: 8768
Task: What is the remainder when 495 is divided by 83?
Result: 80
Task: What is the remainder when 102269 is divided by 37?
Result: 1
Task: Calculate the remainder when 2776372 is divided by 475.
Result: 472
Task: What is the remainder when 4116 is divided by 1096?
Result: 828
Task: Calculate the remainder when 38 is divided by 27.
Result: 11
Task: Calculate the remainder when 648733 is divided by 1567.
Result: 1562
Task: What is the remainder when 486 is divided by 15?
Result: 6
Task: Calculate the remainder when 129763 is divided by 3706.
Result: 53
Task: What is the remainder when 3044 is divided by 84?
Result: 20
Task: What is the remainder when 199491 is divided by 24550?
Result: 3091
Task: Calculate the remainder when 19893755 is divided by 23.
Re
|
english
|
numbers: is prime
-----------------
Exercise: Is 1357661 a composite number?
Calculation: False
Exercise: Is 41419958 a prime number?
Calculation: False
Exercise: Is 4152529801 a prime number?
Calculation: False
Exercise: Is 10905557 a composite number?
Calculation: True
Exercise: Is 2136580393 composite?
Calculation: True
Exercise: Is 3739039 prime?
Calculation: True
Exercise: Is 70206037 prime?
Calculation: False
Exercise: Is 6949179943 prime?
Calculation: False
Exercise: Is 554731207 a composite number?
Calculation: False
Exercise: Is 49069 prime?
Calculation: True
Exercise: Is 15754181 prime?
Calculation: True
Exercise: Is 1954 prime?
Calculation: False
Exercise: Is 54941 composite?
Calculation: False
Exercise: Is 12160511 prime?
Calculation: False
Exercise: Is 229699 a prime number?
Calculation: True
Exercise: Is 2673910933 a composite number?
Calculation: False
Exercise: Is 41010419 composite?
Calculation: False
Exercise: Is 15598871 composite?
Calculation: False
Exercise: Is 21341 a composite number?
Calculation: False
Exercise: Is 11353879231 a composite number?
Calculation: False
Exercise: Is 31781861 prime?
Calculation: True
Exercise: Is 18630252899 a composite number?
Calculation: True
Exercise: Is 3989707 composite?
Calculation: True
Exercise: Is 299369 a prime number?
Calculation: False
Exercise: Is 850069 a composite number?
Calculation: True
Exercise: Is 81870023 a composite number?
Calculation: True
Exercise: Is 15161 a prime number?
Calculation: True
Exercise: Is 451706907 composite?
Calculation: True
Exercise: Is 7997 a composite number?
Calculation: True
Exercise: Is 128981 composite?
Calculation: False
Exercise: Is 19035083 a prime number?
Calculation: True
Exercise: Is 2845 a composite number?
Calculation: True
Exercise: Is 683784691 a prime number?
Calculation: False
Exercise: Is 2300379 a composite number?
Calculation: True
Exercise: Is 44667629 a composite number?
Calculation: True
Exercise: Is 479 a prime number?
Calculation: True
Exercise:
|
english
|
numbers: is factor
------------------
Problem: Is 13 a factor of 19331?
Resolution: True
Problem: Is 40 a factor of 1916280?
Resolution: True
Problem: Is 270 a factor of 541079398?
Resolution: False
Problem: Is 1107 a multiple of 123?
Resolution: True
Problem: Is 295 a multiple of 59?
Resolution: True
Problem: Does 7 divide 96229?
Resolution: True
Problem: Is 3052 a multiple of 245?
Resolution: False
Problem: Is 18156386 a multiple of 1466?
Resolution: False
Problem: Does 30 divide 3332334?
Resolution: False
Problem: Is 394185 a multiple of 15?
Resolution: True
Problem: Is 30 a factor of 86010?
Resolution: True
Problem: Does 12 divide 32547111?
Resolution: False
Problem: Is 19 a factor of 373426?
Resolution: True
Problem: Is 27 a factor of 573?
Resolution: False
Problem: Is 7 a factor of 67396?
Resolution: True
Problem: Does 8 divide 6014?
Resolution: False
Problem: Does 450 divide 173540128?
Resolution: False
Problem: Is 500008 a multiple of 745?
Resolution: False
Problem: Does 816 divide 152381446?
Resolution: False
Problem: Is 17 a factor of 23732?
Resolution: True
Problem: Is 36339 a multiple of 171?
Resolution: False
Problem: Is 62 a factor of 1567?
Resolution: False
Problem: Is 8422 a factor of 937629682?
Resolution: True
Problem: Is 335 a factor of 1353400?
Resolution: True
Problem: Is 19987832 a multiple of 1138?
Resolution: True
Problem: Is 2800 a factor of 298678981?
Resolution: False
Problem: Is 24711279 a multiple of 127?
Resolution: True
Problem: Does 99 divide 2288583?
Resolution: True
Problem: Does 939 divide 41218344?
Resolution: True
Problem: Is 8 a factor of 904?
Resolution: True
Problem: Does 296 divide 4512520?
Resolution: True
Problem: Does 775 divide 19335446?
Resolution: False
Problem: Does 44 divide 8096?
Resolution: True
Problem: Is 1944 a multiple of 2?
Resolution: True
Problem: Does 38 divide 276132?
Resolution: False
Problem: Does 252 divide 32490612?
Resolution: True
Problem: Does 109 divide 215622566?
Resolution: False
Problem: Is 17802
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english
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probability: swr p sequence
---------------------------
Topic: Four letters picked without replacement from jjccjncccjjcnjccjc. Give prob of sequence ncnc.
Gives: 1/510
Topic: Two letters picked without replacement from {q: 2, p: 1, c: 1}. What is prob of sequence qp?
Gives: 1/6
Topic: Calculate prob of sequence zt when two letters picked without replacement from {z: 2, t: 4}.
Gives: 4/15
Topic: What is prob of sequence ana when three letters picked without replacement from {n: 2, v: 1, t: 5, a: 1, z: 8}?
Gives: 0
Topic: Two letters picked without replacement from ddkxkdkkkd. Give prob of sequence xd.
Gives: 2/45
Topic: Three letters picked without replacement from {w: 4, a: 6, u: 4}. What is prob of sequence aaw?
Gives: 5/91
Topic: Calculate prob of sequence gl when two letters picked without replacement from {l: 9, n: 5, g: 2}.
Gives: 3/40
Topic: Two letters picked without replacement from gigggqiigwgqigwg. Give prob of sequence wi.
Gives: 1/30
Topic: Two letters picked without replacement from {h: 4}. What is prob of sequence hh?
Gives: 1
Topic: What is prob of sequence ssu when three letters picked without replacement from {h: 2, u: 1, s: 3, n: 2, i: 2, l: 2}?
Gives: 1/220
Topic: What is prob of sequence qfzq when four letters picked without replacement from {x: 2, f: 2, z: 4, q: 2}?
Gives: 1/315
Topic: Calculate prob of sequence mcc when three letters picked without replacement from {m: 6, c: 7}.
Gives: 21/143
Topic: Three letters picked without replacement from {g: 2, c: 1, p: 1, w: 2, h: 2}. Give prob of sequence gwg.
Gives: 1/84
Topic: Calculate prob of sequence aa when two letters picked without replacement from {c: 2, z: 1, a: 4, x: 1, k: 1, i: 3}.
Gives: 1/11
Topic: Four letters picked without replacement from eliellliqtil. What is prob of sequence tqle?
Gives: 1/1188
Topic: Four letters picked without replacement from mmmhhhhhhm. What is prob of sequence hmmm?
Gives: 1/35
Topic: Two letters picked without replacement from ebtwc. What is prob of sequence
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english
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probability: swr p sequence
---------------------------
Conundrum: Three letters picked without replacement from qqbqbbqbbq. What is prob of sequence bqb?
A: 5/36
Conundrum: Calculate prob of sequence dm when two letters picked without replacement from {m: 1, n: 7, d: 1, r: 4}.
A: 1/156
Conundrum: What is prob of sequence mmgd when four letters picked without replacement from mmmmddvg?
A: 1/70
Conundrum: Calculate prob of sequence bmk when three letters picked without replacement from kbsamggms.
A: 1/252
Conundrum: What is prob of sequence spus when four letters picked without replacement from {s: 4, u: 5, p: 1}?
A: 1/84
Conundrum: What is prob of sequence hll when three letters picked without replacement from {h: 5, g: 1, l: 14}?
A: 91/684
Conundrum: Three letters picked without replacement from {i: 5, m: 1, f: 5, b: 6, j: 3}. What is prob of sequence bfm?
A: 1/228
Conundrum: What is prob of sequence nn when two letters picked without replacement from {c: 2, n: 16}?
A: 40/51
Conundrum: Calculate prob of sequence yyy when three letters picked without replacement from yyyqyyyqqyyqqyyy.
A: 33/112
Conundrum: What is prob of sequence eee when three letters picked without replacement from eyeeeeeeeeeeeeeeee?
A: 5/6
Conundrum: Three letters picked without replacement from swxzswwsxwxsxss. Give prob of sequence zsx.
A: 4/455
Conundrum: Two letters picked without replacement from {i: 7, j: 1, m: 6}. Give prob of sequence ij.
A: 1/26
Conundrum: What is prob of sequence ts when two letters picked without replacement from nstsfsesftsttts?
A: 1/7
Conundrum: Calculate prob of sequence suc when three letters picked without replacement from ycysypyyppypysup.
A: 1/1680
Conundrum: What is prob of sequence cssc when four letters picked without replacement from scscccccppcc?
A: 14/1485
Conundrum: Four letters picked without replacement from rrrgrgggrrgr. Give prob of sequence rgrg.
A: 7/99
Conundrum: Three letters picked without replacement from rttttrtpttttprtttttt. Give prob of sequ
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english
|
numbers: gcd
------------
Problem: What is the greatest common factor of 18284 and 23044?
Output: 28
Problem: What is the greatest common divisor of 96400 and 107809904?
Output: 3856
Problem: Calculate the greatest common factor of 244 and 1403.
Output: 61
Problem: Calculate the highest common factor of 15 and 5.
Output: 5
Problem: Calculate the highest common divisor of 1710 and 12211680.
Output: 570
Problem: Calculate the highest common divisor of 384 and 6784.
Output: 128
Problem: Calculate the greatest common divisor of 1169138 and 83.
Output: 83
Problem: What is the highest common divisor of 9 and 940096413?
Output: 9
Problem: Calculate the greatest common factor of 262353 and 37076.
Output: 403
Problem: Calculate the greatest common divisor of 735 and 105.
Output: 105
Problem: What is the greatest common factor of 27173 and 15457?
Output: 29
Problem: What is the highest common factor of 98 and 2?
Output: 2
Problem: Calculate the highest common divisor of 945847843 and 11053.
Output: 1579
Problem: Calculate the highest common factor of 549 and 45.
Output: 9
Problem: What is the greatest common divisor of 18 and 10503?
Output: 9
Problem: Calculate the greatest common divisor of 453717800 and 400.
Output: 200
Problem: What is the greatest common divisor of 1194473 and 3724?
Output: 931
Problem: What is the greatest common factor of 991633318 and 26?
Output: 26
Problem: What is the highest common factor of 82 and 2316500?
Output: 82
Problem: Calculate the greatest common divisor of 192 and 78.
Output: 6
Problem: What is the greatest common factor of 45 and 75?
Output: 15
Problem: What is the greatest common factor of 4498 and 26?
Output: 26
Problem: Calculate the greatest common divisor of 9841608 and 126.
Output: 126
Problem: Calculate the highest common divisor of 1003 and 38171171.
Output: 1003
Problem: Calculate the greatest common divisor of 41304 and 132.
Output: 12
Problem: Calculate the highest common divisor of 11550 and 66.
Output: 66
Problem: Calculate
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numbers: place value
--------------------
Problem: What is the units digit of 87604?
Workthrough: 4
Problem: What is the thousands digit of 280417?
Workthrough: 0
Problem: What is the millions digit of 3057977?
Workthrough: 3
Problem: What is the hundred millions digit of 2989935126?
Workthrough: 9
Problem: What is the hundreds digit of 61500?
Workthrough: 5
Problem: What is the units digit of 3884?
Workthrough: 4
Problem: What is the tens digit of 4544?
Workthrough: 4
Problem: What is the hundreds digit of 81086?
Workthrough: 0
Problem: What is the hundreds digit of 1421326234?
Workthrough: 2
Problem: What is the tens digit of 396070?
Workthrough: 7
Problem: What is the units digit of 340?
Workthrough: 0
Problem: What is the units digit of 159604?
Workthrough: 4
Problem: What is the ten millions digit of 3827471155?
Workthrough: 2
Problem: What is the thousands digit of 828479?
Workthrough: 8
Problem: What is the thousands digit of 5205419?
Workthrough: 5
Problem: What is the units digit of 362910?
Workthrough: 0
Problem: What is the hundreds digit of 7179423?
Workthrough: 4
Problem: What is the thousands digit of 18248398?
Workthrough: 8
Problem: What is the units digit of 979?
Workthrough: 9
Problem: What is the hundreds digit of 609701753?
Workthrough: 7
Problem: What is the hundreds digit of 1978?
Workthrough: 9
Problem: What is the units digit of 119082505?
Workthrough: 5
Problem: What is the hundreds digit of 230?
Workthrough: 2
Problem: What is the units digit of 2958991427?
Workthrough: 7
Problem: What is the hundreds digit of 37610970?
Workthrough: 9
Problem: What is the tens digit of 1861326?
Workthrough: 2
Problem: What is the ten thousands digit of 603117?
Workthrough: 0
Problem: What is the tens digit of 281602?
Workthrough: 0
Problem: What is the hundred thousands digit of 126915?
Workthrough: 1
Problem: What is the ten thousands digit of 77872?
Workthrough: 7
Problem: What is the ten thousands digit of 691988?
Workthrough: 9
Problem: What is the thou
|
english
|
numbers: place value
--------------------
Step: What is the units digit of 858351399?
Result: 9
Step: What is the tens digit of 845?
Result: 4
Step: What is the hundreds digit of 721?
Result: 7
Step: What is the units digit of 215390660?
Result: 0
Step: What is the ten thousands digit of 163783?
Result: 6
Step: What is the hundreds digit of 592463?
Result: 4
Step: What is the units digit of 8585?
Result: 5
Step: What is the billions digit of 1786727601?
Result: 1
Step: What is the hundreds digit of 63001?
Result: 0
Step: What is the hundreds digit of 10383?
Result: 3
Step: What is the tens digit of 1513?
Result: 1
Step: What is the thousands digit of 4166?
Result: 4
Step: What is the thousands digit of 38374?
Result: 8
Step: What is the ten millions digit of 19412050?
Result: 1
Step: What is the units digit of 13967588?
Result: 8
Step: What is the tens digit of 3258864?
Result: 6
Step: What is the hundreds digit of 6375?
Result: 3
Step: What is the ten thousands digit of 1743344261?
Result: 4
Step: What is the units digit of 6360663?
Result: 3
Step: What is the units digit of 126873613?
Result: 3
Step: What is the units digit of 1042444?
Result: 4
Step: What is the hundred thousands digit of 151346?
Result: 1
Step: What is the hundred thousands digit of 12350422?
Result: 3
Step: What is the units digit of 1027991?
Result: 1
Step: What is the ten thousands digit of 11315?
Result: 1
Step: What is the thousands digit of 2001357?
Result: 1
Step: What is the tens digit of 701?
Result: 0
Step: What is the thousands digit of 1150154?
Result: 0
Step: What is the thousands digit of 2930?
Result: 2
Step: What is the tens digit of 1124456?
Result: 5
Step: What is the ten thousands digit of 6941968?
Result: 4
Step: What is the thousands digit of 572778?
Result: 2
Step: What is the hundreds digit of 845971?
Result: 9
Step: What is the units digit of 677919245?
Result: 5
Step: What is the hundreds digit of 16927714?
Result: 7
Step: What is the tens digit of 5901?
Result: 0
Step:
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numbers: place value
--------------------
Topic: What is the hundreds digit of 14831105?
Gives: 1
Topic: What is the units digit of 3424?
Gives: 4
Topic: What is the ten thousands digit of 66798?
Gives: 6
Topic: What is the thousands digit of 39877432?
Gives: 7
Topic: What is the tens digit of 8173881?
Gives: 8
Topic: What is the tens digit of 2093?
Gives: 9
Topic: What is the tens digit of 485?
Gives: 8
Topic: What is the tens digit of 2507156260?
Gives: 6
Topic: What is the tens digit of 70734?
Gives: 3
Topic: What is the ten thousands digit of 8244682?
Gives: 4
Topic: What is the units digit of 1769535?
Gives: 5
Topic: What is the thousands digit of 7180?
Gives: 7
Topic: What is the hundred thousands digit of 3120934?
Gives: 1
Topic: What is the thousands digit of 5086?
Gives: 5
Topic: What is the hundred thousands digit of 410733?
Gives: 4
Topic: What is the thousands digit of 1893?
Gives: 1
Topic: What is the hundreds digit of 27765?
Gives: 7
Topic: What is the tens digit of 58096?
Gives: 9
Topic: What is the ten thousands digit of 118674707?
Gives: 7
Topic: What is the hundreds digit of 6553431?
Gives: 4
Topic: What is the tens digit of 99962562?
Gives: 6
Topic: What is the hundred millions digit of 156147837?
Gives: 1
Topic: What is the hundreds digit of 75278512?
Gives: 5
Topic: What is the tens digit of 2133652?
Gives: 5
Topic: What is the thousands digit of 11009?
Gives: 1
Topic: What is the tens digit of 189?
Gives: 8
Topic: What is the units digit of 15780488?
Gives: 8
Topic: What is the units digit of 249775483?
Gives: 3
Topic: What is the thousands digit of 29517?
Gives: 9
Topic: What is the thousands digit of 32109956?
Gives: 9
Topic: What is the units digit of 42376?
Gives: 6
Topic: What is the ten thousands digit of 1536343490?
Gives: 4
Topic: What is the hundreds digit of 4725669658?
Gives: 6
Topic: What is the units digit of 101245?
Gives: 5
Topic: What is the hundred thousands digit of 53652712?
Gives: 6
Topic: What is the hundred millions digit
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english
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numbers: div remainder
----------------------
Math Problem: Calculate the remainder when 665 is divided by 178.
Outcome: 131
Math Problem: Calculate the remainder when 181 is divided by 69.
Outcome: 43
Math Problem: Calculate the remainder when 1644 is divided by 27.
Outcome: 24
Math Problem: Calculate the remainder when 300 is divided by 38.
Outcome: 34
Math Problem: What is the remainder when 41578 is divided by 2079?
Outcome: 2077
Math Problem: What is the remainder when 57 is divided by 41?
Outcome: 16
Math Problem: What is the remainder when 596 is divided by 75?
Outcome: 71
Math Problem: Calculate the remainder when 666 is divided by 163.
Outcome: 14
Math Problem: Calculate the remainder when 82722900 is divided by 593.
Outcome: 586
Math Problem: Calculate the remainder when 138071 is divided by 262.
Outcome: 259
Math Problem: What is the remainder when 25740 is divided by 222?
Outcome: 210
Math Problem: What is the remainder when 41893705 is divided by 79?
Outcome: 5
Math Problem: Calculate the remainder when 12768490 is divided by 53.
Outcome: 48
Math Problem: What is the remainder when 162992 is divided by 13564?
Outcome: 224
Math Problem: Calculate the remainder when 34262754 is divided by 44.
Outcome: 42
Math Problem: What is the remainder when 715567 is divided by 878?
Outcome: 875
Math Problem: Calculate the remainder when 2995987 is divided by 378.
Outcome: 337
Math Problem: What is the remainder when 476177 is divided by 476176?
Outcome: 1
Math Problem: Calculate the remainder when 5195 is divided by 5167.
Outcome: 28
Math Problem: What is the remainder when 1072 is divided by 37?
Outcome: 36
Math Problem: Calculate the remainder when 39 is divided by 15.
Outcome: 9
Math Problem: Calculate the remainder when 818 is divided by 18.
Outcome: 8
Math Problem: What is the remainder when 566 is divided by 181?
Outcome: 23
Math Problem: Calculate the remainder when 3098 is divided by 389.
Outcome: 375
Math Problem: Calculate the remainder when 41730 is divide
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english
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probability: swr p level set
----------------------------
Test item: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from miioxqj.
Conclusion: 1/21
Test item: Four letters picked without replacement from {p: 2, r: 16}. What is prob of picking 4 r?
Conclusion: 91/153
Test item: Calculate prob of picking 4 q when four letters picked without replacement from ygqyyqygyqqqy.
Conclusion: 1/143
Test item: Calculate prob of picking 2 x when two letters picked without replacement from {e: 9, x: 3}.
Conclusion: 1/22
Test item: Two letters picked without replacement from {t: 4, y: 16}. What is prob of picking 2 t?
Conclusion: 3/95
Test item: What is prob of picking 1 l and 2 o when three letters picked without replacement from {o: 5, t: 4, l: 4, j: 2}?
Conclusion: 8/91
Test item: What is prob of picking 1 s and 1 t when two letters picked without replacement from ststsststs?
Conclusion: 8/15
Test item: Two letters picked without replacement from {i: 3, u: 3, d: 2, t: 1, k: 1, b: 2}. What is prob of picking 1 t and 1 k?
Conclusion: 1/66
Test item: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from eetgeeele.
Conclusion: 1/36
Test item: Three letters picked without replacement from {r: 1, l: 1, o: 4, t: 3, d: 2, u: 1}. Give prob of picking 1 t, 1 r, and 1 l.
Conclusion: 3/220
Test item: Three letters picked without replacement from {b: 1, m: 4, r: 2, w: 7, i: 2}. What is prob of picking 1 r and 2 m?
Conclusion: 3/140
Test item: Four letters picked without replacement from kxxdxfkfkffdfff. Give prob of picking 2 d and 2 x.
Conclusion: 1/455
Test item: Two letters picked without replacement from bajjjjjjtapjtbajjjt. Give prob of picking 1 t and 1 j.
Conclusion: 10/57
Test item: What is prob of picking 1 p and 1 a when two letters picked without replacement from {q: 2, a: 4, w: 4, p: 5}?
Conclusion: 4/21
Test item: Three letters picked without replacement from {r: 4, b: 2, a: 2}. Give prob of picking 2 r and 1 a.
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english
|
probability: swr p level set
----------------------------
Task: Calculate prob of picking 1 a and 3 r when four letters picked without replacement from kteeaaaaker.
Sol: 0
Task: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {z: 1, l: 1, v: 7}.
Sol: 7/36
Task: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from {j: 2, x: 9, p: 3, g: 3, o: 2}.
Sol: 2/57
Task: Three letters picked without replacement from {y: 5}. What is prob of picking 3 y?
Sol: 1
Task: What is prob of picking 3 o when three letters picked without replacement from {o: 7, r: 4}?
Sol: 7/33
Task: What is prob of picking 2 g and 1 n when three letters picked without replacement from {g: 5, h: 3, n: 5, e: 2}?
Sol: 10/91
Task: Calculate prob of picking 1 s, 1 a, 1 q, and 1 j when four letters picked without replacement from {c: 2, a: 1, i: 2, s: 2, j: 1, q: 4}.
Sol: 8/495
Task: Two letters picked without replacement from jzzzzzjzjzz. What is prob of picking 2 j?
Sol: 3/55
Task: What is prob of picking 1 r and 1 z when two letters picked without replacement from {a: 4, r: 1, l: 1, z: 2}?
Sol: 1/14
Task: Calculate prob of picking 3 z when three letters picked without replacement from szzzzszzzszzszzszss.
Sol: 220/969
Task: Calculate prob of picking 1 t, 2 r, and 1 h when four letters picked without replacement from {k: 2, t: 1, h: 7, p: 5, s: 3, r: 2}.
Sol: 7/4845
Task: Two letters picked without replacement from {w: 3, i: 3, k: 3, c: 4}. What is prob of picking 1 i and 1 c?
Sol: 2/13
Task: Four letters picked without replacement from mmmmdmmmdmmmm. Give prob of picking 1 d and 3 m.
Sol: 6/13
Task: What is prob of picking 3 w when three letters picked without replacement from wwww?
Sol: 1
Task: Calculate prob of picking 2 a when two letters picked without replacement from alqqqqllallaaqq.
Sol: 2/35
Task: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {n: 1, x: 1, q: 1, k: 1, s: 2, b: 1}.
Sol: 1/
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english
|
probability: swr p sequence
---------------------------
Request: Calculate prob of sequence wwww when four letters picked without replacement from wwwww.
Solution: 1
Request: Three letters picked without replacement from {t: 1, h: 1, m: 1, y: 1, e: 1, g: 12}. Give prob of sequence emh.
Solution: 1/4080
Request: Four letters picked without replacement from fblnv. What is prob of sequence lfvb?
Solution: 1/120
Request: What is prob of sequence jd when two letters picked without replacement from jjmmdmjdjwjdmj?
Solution: 9/91
Request: Four letters picked without replacement from xpppizkxxtxx. What is prob of sequence zxtp?
Solution: 1/792
Request: Three letters picked without replacement from effrfeerqbeqfp. Give prob of sequence eff.
Solution: 2/91
Request: Three letters picked without replacement from bssbbss. What is prob of sequence sss?
Solution: 4/35
Request: Two letters picked without replacement from {f: 2, c: 1, e: 1, y: 1, h: 1, i: 1}. Give prob of sequence yc.
Solution: 1/42
Request: Calculate prob of sequence po when two letters picked without replacement from ipioiip.
Solution: 1/21
Request: Three letters picked without replacement from {d: 2, f: 2, u: 1, p: 1, z: 2}. What is prob of sequence ffp?
Solution: 1/168
Request: Three letters picked without replacement from {g: 4, j: 6, y: 2, i: 3, u: 3}. What is prob of sequence gug?
Solution: 1/136
Request: Two letters picked without replacement from qbyqxap. What is prob of sequence bq?
Solution: 1/21
Request: What is prob of sequence jn when two letters picked without replacement from orrnrroj?
Solution: 1/56
Request: Two letters picked without replacement from dxxd. Give prob of sequence xx.
Solution: 1/6
Request: What is prob of sequence aaa when three letters picked without replacement from aaaaa?
Solution: 1
Request: Three letters picked without replacement from {n: 1, k: 4, l: 1, x: 4, d: 1, j: 1}. Give prob of sequence jkl.
Solution: 1/330
Request: Four letters picked without replacement from {h: 1, c:
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english
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arithmetic: nearest integer root
--------------------------------
Test item: What is the third root of 5517 to the nearest integer?
Final Answer: 18
Test item: What is the ninth root of 12221667 to the nearest integer?
Final Answer: 6
Test item: What is 52789 to the power of 1/6, to the nearest integer?
Final Answer: 6
Test item: What is the tenth root of 1860 to the nearest integer?
Final Answer: 2
Test item: What is 2416862270 to the power of 1/7, to the nearest integer?
Final Answer: 22
Test item: What is the fifth root of 5764976134 to the nearest integer?
Final Answer: 90
Test item: What is the square root of 1543244226 to the nearest integer?
Final Answer: 39284
Test item: What is the tenth root of 178097196 to the nearest integer?
Final Answer: 7
Test item: What is 3531867918 to the power of 1/2, to the nearest integer?
Final Answer: 59430
Test item: What is 52022 to the power of 1/9, to the nearest integer?
Final Answer: 3
Test item: What is 881 to the power of 1/6, to the nearest integer?
Final Answer: 3
Test item: What is 163494486 to the power of 1/3, to the nearest integer?
Final Answer: 547
Test item: What is 24589 to the power of 1/3, to the nearest integer?
Final Answer: 29
Test item: What is the eighth root of 10104942 to the nearest integer?
Final Answer: 8
Test item: What is 16450 to the power of 1/4, to the nearest integer?
Final Answer: 11
Test item: What is 41578267 to the power of 1/10, to the nearest integer?
Final Answer: 6
Test item: What is the third root of 4186 to the nearest integer?
Final Answer: 16
Test item: What is the cube root of 404830 to the nearest integer?
Final Answer: 74
Test item: What is the third root of 640423509 to the nearest integer?
Final Answer: 862
Test item: What is 12771911 to the power of 1/2, to the nearest integer?
Final Answer: 3574
Test item: What is the third root of 5336 to the nearest integer?
Final Answer: 17
Test item: What is 26801 to the power of 1/3, to the nearest integer?
Final Answer: 30
Test item:
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|
numbers: place value
--------------------
What if: What is the hundreds digit of 194?
Sol: 1
What if: What is the units digit of 1185373724?
Sol: 4
What if: What is the hundred thousands digit of 3259732800?
Sol: 7
What if: What is the hundreds digit of 865?
Sol: 8
What if: What is the thousands digit of 7233?
Sol: 7
What if: What is the hundreds digit of 3828?
Sol: 8
What if: What is the units digit of 1415?
Sol: 5
What if: What is the units digit of 206230578?
Sol: 8
What if: What is the millions digit of 1618563?
Sol: 1
What if: What is the tens digit of 270212?
Sol: 1
What if: What is the units digit of 11965?
Sol: 5
What if: What is the hundred thousands digit of 673771?
Sol: 6
What if: What is the hundreds digit of 800?
Sol: 8
What if: What is the tens digit of 136260?
Sol: 6
What if: What is the tens digit of 781?
Sol: 8
What if: What is the hundreds digit of 5177?
Sol: 1
What if: What is the thousands digit of 28603519?
Sol: 3
What if: What is the hundreds digit of 1207?
Sol: 2
What if: What is the units digit of 955?
Sol: 5
What if: What is the tens digit of 279185?
Sol: 8
What if: What is the tens digit of 511487?
Sol: 8
What if: What is the hundreds digit of 675564?
Sol: 5
What if: What is the billions digit of 1147363949?
Sol: 1
What if: What is the millions digit of 5150496?
Sol: 5
What if: What is the hundred thousands digit of 198466?
Sol: 1
What if: What is the tens digit of 1269890627?
Sol: 2
What if: What is the thousands digit of 44409?
Sol: 4
What if: What is the hundreds digit of 2230582296?
Sol: 2
What if: What is the ten thousands digit of 1249269182?
Sol: 6
What if: What is the thousands digit of 10872651?
Sol: 2
What if: What is the thousands digit of 86246?
Sol: 6
What if: What is the hundred millions digit of 6376639627?
Sol: 3
What if: What is the tens digit of 452800?
Sol: 0
What if: What is the hundred millions digit of 103970614?
Sol: 1
What if: What is the ten millions digit of 27593246?
Sol: 2
What if: What is the units digit of 86?
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english
|
numbers: gcd
------------
Q=: What is the highest common divisor of 98 and 5306?
Workthrough: 14
Q=: What is the greatest common factor of 4125144 and 216?
Workthrough: 24
Q=: What is the greatest common divisor of 918 and 207?
Workthrough: 9
Q=: What is the greatest common divisor of 292636 and 3928?
Workthrough: 1964
Q=: What is the greatest common factor of 38 and 1720013?
Workthrough: 19
Q=: Calculate the highest common divisor of 83025 and 208575.
Workthrough: 2025
Q=: What is the greatest common divisor of 33248 and 2367104?
Workthrough: 32
Q=: What is the greatest common factor of 2011395549 and 1203?
Workthrough: 1203
Q=: What is the greatest common factor of 343 and 7?
Workthrough: 7
Q=: What is the greatest common divisor of 3406 and 4498?
Workthrough: 26
Q=: Calculate the greatest common factor of 1738044 and 26562.
Workthrough: 114
Q=: What is the greatest common factor of 60344 and 76621?
Workthrough: 397
Q=: What is the highest common factor of 12 and 3083070?
Workthrough: 6
Q=: Calculate the highest common factor of 851120522 and 7736.
Workthrough: 1934
Q=: Calculate the greatest common divisor of 35949 and 472512.
Workthrough: 69
Q=: Calculate the highest common divisor of 68384 and 256.
Workthrough: 32
Q=: What is the greatest common divisor of 31 and 155?
Workthrough: 31
Q=: What is the highest common factor of 15 and 15135?
Workthrough: 15
Q=: What is the highest common factor of 65 and 309790923?
Workthrough: 13
Q=: Calculate the greatest common divisor of 481 and 39.
Workthrough: 13
Q=: What is the highest common factor of 252 and 603?
Workthrough: 9
Q=: What is the greatest common divisor of 35 and 677599055?
Workthrough: 35
Q=: What is the greatest common divisor of 235 and 94?
Workthrough: 47
Q=: Calculate the greatest common factor of 38802100 and 400.
Workthrough: 100
Q=: Calculate the greatest common factor of 10497058 and 23114.
Workthrough: 3302
Q=: Calculate the greatest common divisor of 60 and 12140.
Workthrough: 20
Q=: Calculate the
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english
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measurement: conversion
-----------------------
Conundrum: How many months are there in 1/4 of a millennium?
Outcome: 3000
Conundrum: How many meters are there in 0.2670313nm?
Outcome: 0.0000000002670313
Conundrum: What is 25.014094 days in weeks?
Outcome: 3.573442
Conundrum: What is fifty-nine quarters of a kilogram in grams?
Outcome: 14750
Conundrum: Convert 2144.2239 seconds to days.
Outcome: 0.02481740625
Conundrum: How many centuries are there in 504849.4 millennia?
Outcome: 5048494
Conundrum: How many millilitres are there in 46/5 of a litre?
Outcome: 9200
Conundrum: What is 1/5 of a week in minutes?
Outcome: 2016
Conundrum: What is 711.70029us in weeks?
Outcome: 0.000000001176753125
Conundrum: What is 506.4293nm in meters?
Outcome: 0.0000005064293
Conundrum: What is 21/8 of a litre in millilitres?
Outcome: 2625
Conundrum: How many millennia are there in 0.2760135 years?
Outcome: 0.0002760135
Conundrum: How many months are there in 15/4 of a century?
Outcome: 4500
Conundrum: How many microseconds are there in 0.772247 seconds?
Outcome: 772247
Conundrum: What is 50682.92 micrometers in nanometers?
Outcome: 50682920
Conundrum: How many nanograms are there in 4723.276 grams?
Outcome: 4723276000000
Conundrum: What is one fifth of a centimeter in millimeters?
Outcome: 2
Conundrum: What is 30986.31ml in litres?
Outcome: 30.98631
Conundrum: Convert 0.1626091 hours to nanoseconds.
Outcome: 585392760000
Conundrum: How many micrometers are there in 7539.996 meters?
Outcome: 7539996000
Conundrum: How many millilitres are there in 40.06298l?
Outcome: 40062.98
Conundrum: How many millilitres are there in seven halves of a litre?
Outcome: 3500
Conundrum: How many grams are there in three fifths of a kilogram?
Outcome: 600
Conundrum: What is 503205.3 weeks in microseconds?
Outcome: 304338565440000000
Conundrum: How many meters are there in 7.931011 micrometers?
Outcome: 0.000007931011
Conundrum: How many litres are there in 189.23 millilitres?
Outcome: 0.18923
Conundrum: Con
|
english
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measurement: time
-----------------
Let: What is 223 minutes before 12:48 PM?
Eval: 9:05 AM
Let: How many minutes are there between 8:31 PM and 8:33 PM?
Eval: 2
Let: How many minutes are there between 12:17 AM and 2:23 AM?
Eval: 126
Let: How many minutes are there between 4:18 AM and 9:31 AM?
Eval: 313
Let: What is 127 minutes after 3:29 PM?
Eval: 5:36 PM
Let: What is 678 minutes after 12:07 PM?
Eval: 11:25 PM
Let: What is 625 minutes before 2:02 AM?
Eval: 3:37 PM
Let: How many minutes are there between 3:03 PM and 4:58 PM?
Eval: 115
Let: How many minutes are there between 8:39 PM and 3:17 AM?
Eval: 398
Let: How many minutes are there between 4:15 AM and 1:39 PM?
Eval: 564
Let: What is 583 minutes before 10:06 PM?
Eval: 12:23 PM
Let: How many minutes are there between 11:57 PM and 5:00 AM?
Eval: 303
Let: What is 53 minutes before 7:58 PM?
Eval: 7:05 PM
Let: How many minutes are there between 11:37 AM and 9:55 PM?
Eval: 618
Let: What is 171 minutes after 3:58 AM?
Eval: 6:49 AM
Let: How many minutes are there between 4:57 PM and 9:12 PM?
Eval: 255
Let: What is 165 minutes after 6:03 AM?
Eval: 8:48 AM
Let: What is 664 minutes before 7:33 AM?
Eval: 8:29 PM
Let: How many minutes are there between 1:22 PM and 2:51 PM?
Eval: 89
Let: How many minutes are there between 7:29 PM and 1:43 AM?
Eval: 374
Let: What is 663 minutes after 1:33 PM?
Eval: 12:36 AM
Let: How many minutes are there between 10:30 AM and 9:33 PM?
Eval: 663
Let: How many minutes are there between 6:21 AM and 10:12 AM?
Eval: 231
Let: What is 115 minutes after 11:56 PM?
Eval: 1:51 AM
Let: How many minutes are there between 6:59 AM and 9:23 AM?
Eval: 144
Let: What is 62 minutes after 7:35 PM?
Eval: 8:37 PM
Let: What is 589 minutes after 12:38 PM?
Eval: 10:27 PM
Let: What is 274 minutes before 2:12 AM?
Eval: 9:38 PM
Let: What is 203 minutes after 4:34 AM?
Eval: 7:57 AM
Let: How many minutes are there between 7:27 AM and 12:01 PM?
Eval: 274
Let: How many minutes are there between 3:20 AM and 8:45 AM?
Eval: 325
Le
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english
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probability: swr p sequence
---------------------------
Inquiry: Four letters picked without replacement from {j: 2, f: 6, n: 10}. Give prob of sequence njnj.
Solution: 1/408
Inquiry: What is prob of sequence ool when three letters picked without replacement from {l: 2, f: 2, o: 1, b: 4}?
Solution: 0
Inquiry: What is prob of sequence tpb when three letters picked without replacement from tbtbttppbbppbtt?
Solution: 4/91
Inquiry: What is prob of sequence vsuz when four letters picked without replacement from fsfvfvfzfvfvvvvuf?
Solution: 1/8160
Inquiry: Calculate prob of sequence heh when three letters picked without replacement from wewwh.
Solution: 0
Inquiry: What is prob of sequence ffw when three letters picked without replacement from {y: 3, w: 2, f: 6, c: 1}?
Solution: 1/22
Inquiry: What is prob of sequence fqr when three letters picked without replacement from {f: 1, p: 2, q: 4, r: 2}?
Solution: 1/63
Inquiry: What is prob of sequence zd when two letters picked without replacement from hxjjhzdzxjxzjzxxxxaz?
Solution: 1/76
Inquiry: Two letters picked without replacement from ziggogizzzziqogogbgi. What is prob of sequence go?
Solution: 9/190
Inquiry: Calculate prob of sequence vfv when three letters picked without replacement from ffffvvvf.
Solution: 5/56
Inquiry: What is prob of sequence zb when two letters picked without replacement from {z: 4, a: 4, g: 1, c: 4, b: 4, h: 1}?
Solution: 8/153
Inquiry: Two letters picked without replacement from cfncnaanaaaaw. What is prob of sequence wn?
Solution: 1/52
Inquiry: Two letters picked without replacement from jzzbhoh. What is prob of sequence ob?
Solution: 1/42
Inquiry: What is prob of sequence jnp when three letters picked without replacement from jnjpnnnpjnnpn?
Solution: 21/572
Inquiry: Three letters picked without replacement from {e: 1, j: 7, d: 3, l: 1}. Give prob of sequence djj.
Solution: 21/220
Inquiry: Three letters picked without replacement from {s: 1, v: 7, p: 2}. Give prob of sequence vps.
Solution: 7/360
I
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english
|
probability: swr p level set
----------------------------
Prompt: What is prob of picking 2 l and 1 r when three letters picked without replacement from {g: 2, l: 2, x: 2, r: 7, i: 4}?
Derivation: 7/680
Prompt: What is prob of picking 3 r and 1 y when four letters picked without replacement from tztxrrbxbzxzryr?
Derivation: 4/1365
Prompt: Four letters picked without replacement from {e: 3, d: 2, l: 7}. Give prob of picking 3 e and 1 l.
Derivation: 7/495
Prompt: Three letters picked without replacement from {c: 1, t: 1, q: 2, k: 1}. Give prob of picking 1 t, 1 k, and 1 q.
Derivation: 1/5
Prompt: Two letters picked without replacement from {e: 3, f: 1, a: 2, d: 9, m: 2, v: 1}. Give prob of picking 1 a and 1 v.
Derivation: 2/153
Prompt: What is prob of picking 2 x when two letters picked without replacement from oxxxzxnxxnxnonxnxnnx?
Derivation: 9/38
Prompt: Two letters picked without replacement from {m: 1, w: 6, u: 3, q: 8, f: 1}. What is prob of picking 1 f and 1 m?
Derivation: 1/171
Prompt: Three letters picked without replacement from {m: 4, v: 2}. What is prob of picking 2 m and 1 v?
Derivation: 3/5
Prompt: Calculate prob of picking 2 z when two letters picked without replacement from {i: 4, z: 2}.
Derivation: 1/15
Prompt: What is prob of picking 1 b, 1 l, and 2 u when four letters picked without replacement from {b: 12, a: 2, g: 1, l: 2, u: 3}?
Derivation: 24/1615
Prompt: Three letters picked without replacement from {m: 1, i: 1, w: 1, b: 1, e: 1}. What is prob of picking 1 b, 1 e, and 1 m?
Derivation: 1/10
Prompt: What is prob of picking 3 q and 1 e when four letters picked without replacement from {e: 2, b: 7, q: 9}?
Derivation: 14/255
Prompt: Three letters picked without replacement from vbbvbvvbbvvbvbbbvbvv. Give prob of picking 1 v and 2 b.
Derivation: 15/38
Prompt: Three letters picked without replacement from smmmmmssmmsss. Give prob of picking 2 s and 1 m.
Derivation: 105/286
Prompt: Calculate prob of picking 1 y and 3 u when four letters picked without
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english
|
numbers: is prime
-----------------
Example: Is 1356755 prime?
Eval: False
Example: Is 1032943 prime?
Eval: True
Example: Is 3451871 a prime number?
Eval: True
Example: Is 128370097 prime?
Eval: True
Example: Is 1851038773 prime?
Eval: True
Example: Is 103067 a composite number?
Eval: False
Example: Is 24152759 prime?
Eval: False
Example: Is 1255591 a composite number?
Eval: False
Example: Is 4024361 prime?
Eval: False
Example: Is 5883033671 prime?
Eval: True
Example: Is 18373 a prime number?
Eval: False
Example: Is 11194817 a composite number?
Eval: True
Example: Is 6317 a prime number?
Eval: True
Example: Is 2579 a prime number?
Eval: True
Example: Is 17029007 a prime number?
Eval: True
Example: Is 50552123 a composite number?
Eval: True
Example: Is 7964183 prime?
Eval: False
Example: Is 80189783 a composite number?
Eval: False
Example: Is 163057513 composite?
Eval: False
Example: Is 14199 composite?
Eval: True
Example: Is 2267 a prime number?
Eval: True
Example: Is 410929 prime?
Eval: True
Example: Is 5333 prime?
Eval: True
Example: Is 11167 a composite number?
Eval: True
Example: Is 3158647 composite?
Eval: True
Example: Is 212897 a prime number?
Eval: True
Example: Is 12643 a prime number?
Eval: False
Example: Is 126349 a composite number?
Eval: False
Example: Is 1912829 a composite number?
Eval: False
Example: Is 852539 a composite number?
Eval: True
Example: Is 212933317 composite?
Eval: True
Example: Is 2006071 a prime number?
Eval: True
Example: Is 53141643041 composite?
Eval: True
Example: Is 3932874641 prime?
Eval: True
Example: Is 23640737 a composite number?
Eval: False
Example: Is 224921 a composite number?
Eval: False
Example: Is 12297315922 composite?
Eval: True
Example: Is 163517 a composite number?
Eval: False
Example: Is 184607 composite?
Eval: False
Example: Is 123949 a composite number?
Eval: True
Example: Is 3326711 composite?
Eval: False
Example: Is 7885547 a composite number?
Eval: False
Example: Is 92271 prime?
Eval: False
Example: Is 48299
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english
|
probability: swr p sequence
---------------------------
Statement: Two letters picked without replacement from {t: 2, j: 1}. What is prob of sequence tj?
Eval: 1/3
Statement: Two letters picked without replacement from {q: 3, w: 3, o: 1, r: 1, u: 2}. What is prob of sequence rq?
Eval: 1/30
Statement: Calculate prob of sequence nayn when four letters picked without replacement from nvnwwaywvvvnvn.
Eval: 1/2002
Statement: Four letters picked without replacement from qjwjqjwwwjjjjjjjjjjq. What is prob of sequence wjjj?
Eval: 286/4845
Statement: Two letters picked without replacement from {p: 5, x: 4, k: 8}. What is prob of sequence xp?
Eval: 5/68
Statement: Three letters picked without replacement from krrrktrrvokkrvrov. What is prob of sequence kvv?
Eval: 1/170
Statement: What is prob of sequence ikhc when four letters picked without replacement from kccgccffciffcckhfikk?
Eval: 7/14535
Statement: What is prob of sequence ddj when three letters picked without replacement from qpdqqdjddqddqpqdqdd?
Eval: 4/323
Statement: Calculate prob of sequence pa when two letters picked without replacement from {p: 3, a: 1, q: 5}.
Eval: 1/24
Statement: Two letters picked without replacement from {p: 2, g: 3, j: 1, w: 8, k: 1, f: 1}. Give prob of sequence wk.
Eval: 1/30
Statement: Calculate prob of sequence im when two letters picked without replacement from {i: 6, m: 7}.
Eval: 7/26
Statement: Three letters picked without replacement from {x: 3, o: 5, d: 1, q: 1, a: 6, v: 1}. What is prob of sequence dva?
Eval: 1/680
Statement: What is prob of sequence yvj when three letters picked without replacement from {u: 1, y: 1, m: 1, j: 3, v: 1}?
Eval: 1/70
Statement: What is prob of sequence ss when two letters picked without replacement from msmsmsmmmm?
Eval: 1/15
Statement: What is prob of sequence nmm when three letters picked without replacement from {n: 4, m: 10}?
Eval: 15/91
Statement: Two letters picked without replacement from lkkk. Give prob of sequence kk.
Eval: 1/2
Statement: What
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english
|
numbers: is prime
-----------------
Problem Statement: Is 3891 composite?
Ans: True
Problem Statement: Is 9428671 a composite number?
Ans: True
Problem Statement: Is 64481 a composite number?
Ans: True
Problem Statement: Is 1193522761 a composite number?
Ans: True
Problem Statement: Is 16811 prime?
Ans: True
Problem Statement: Is 1161001 a composite number?
Ans: False
Problem Statement: Is 99189205 a composite number?
Ans: True
Problem Statement: Is 2975223145 a composite number?
Ans: True
Problem Statement: Is 17729 composite?
Ans: False
Problem Statement: Is 10237118757 a prime number?
Ans: False
Problem Statement: Is 703 a composite number?
Ans: True
Problem Statement: Is 73871881 a prime number?
Ans: True
Problem Statement: Is 89801 a prime number?
Ans: False
Problem Statement: Is 18361916039 composite?
Ans: True
Problem Statement: Is 114107 a prime number?
Ans: False
Problem Statement: Is 15063 prime?
Ans: False
Problem Statement: Is 66073703 prime?
Ans: True
Problem Statement: Is 46476701413 a composite number?
Ans: False
Problem Statement: Is 11869801 a prime number?
Ans: False
Problem Statement: Is 284797 a prime number?
Ans: False
Problem Statement: Is 11274357733 prime?
Ans: True
Problem Statement: Is 55127 a prime number?
Ans: True
Problem Statement: Is 1210217 a prime number?
Ans: False
Problem Statement: Is 596363 composite?
Ans: False
Problem Statement: Is 157002787 a prime number?
Ans: False
Problem Statement: Is 245717313251 a prime number?
Ans: False
Problem Statement: Is 3305999779 prime?
Ans: True
Problem Statement: Is 1118822231 composite?
Ans: True
Problem Statement: Is 10219693409 a composite number?
Ans: True
Problem Statement: Is 171131 composite?
Ans: False
Problem Statement: Is 21221387651 a prime number?
Ans: False
Problem Statement: Is 294437629 a prime number?
Ans: False
Problem Statement: Is 722878351781 composite?
Ans: False
Problem Statement: Is 8397671 prime?
Ans: False
Problem Statement: Is 4966793261 composite?
Ans: False
Problem S
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english
|
probability: swr p level set
----------------------------
Prompt: Two letters picked without replacement from qjjjwwxwjwx. What is prob of picking 1 w and 1 j?
Finding: 16/55
Prompt: Four letters picked without replacement from tttt. What is prob of picking 4 t?
Finding: 1
Prompt: Calculate prob of picking 1 a and 3 j when four letters picked without replacement from {j: 5, a: 5}.
Finding: 5/21
Prompt: Three letters picked without replacement from {g: 1, t: 1, o: 1, p: 5, b: 9, k: 1}. Give prob of picking 1 o, 1 k, and 1 b.
Finding: 3/272
Prompt: Calculate prob of picking 1 c, 1 b, 1 s, and 1 v when four letters picked without replacement from {s: 2, n: 3, u: 3, b: 3, v: 2, c: 1}.
Finding: 12/1001
Prompt: Two letters picked without replacement from iyiykvytvtytvyvivvm. Give prob of picking 1 k and 1 y.
Finding: 5/171
Prompt: Three letters picked without replacement from bbbbbbbbrbrrbb. What is prob of picking 3 r?
Finding: 1/364
Prompt: What is prob of picking 1 y and 2 g when three letters picked without replacement from {z: 1, g: 2, y: 4}?
Finding: 4/35
Prompt: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from kkvvkvmkvkkkkvkvmkkv.
Finding: 11/95
Prompt: Four letters picked without replacement from nnnoddnoodnnnonndnn. Give prob of picking 4 n.
Finding: 55/646
Prompt: Calculate prob of picking 1 v, 1 c, and 2 f when four letters picked without replacement from vpcvvjvvfpvf.
Finding: 2/165
Prompt: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, j: 1, l: 1, i: 5}.
Finding: 1/15
Prompt: Three letters picked without replacement from qoojxxghxgo. What is prob of picking 1 o and 2 x?
Finding: 3/55
Prompt: What is prob of picking 2 s and 1 i when three letters picked without replacement from fyfsrryrfsyni?
Finding: 1/286
Prompt: What is prob of picking 2 d when two letters picked without replacement from {d: 5, b: 13}?
Finding: 10/153
Prompt: What is prob of picking 1 k, 1 l, and 1 a when three le
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english
|
numbers: gcd
------------
Request: Calculate the highest common factor of 5978 and 196.
Resolution: 98
Request: What is the highest common factor of 232 and 88?
Resolution: 8
Request: Calculate the highest common divisor of 30160 and 32.
Resolution: 16
Request: What is the highest common factor of 217827050 and 2646?
Resolution: 98
Request: What is the highest common divisor of 296 and 2074886?
Resolution: 74
Request: Calculate the highest common divisor of 189 and 84.
Resolution: 21
Request: Calculate the highest common divisor of 6200 and 850.
Resolution: 50
Request: Calculate the highest common factor of 4557 and 3101651.
Resolution: 49
Request: What is the highest common factor of 195252 and 108?
Resolution: 12
Request: Calculate the greatest common factor of 164372 and 84448.
Resolution: 1508
Request: What is the highest common divisor of 4712217 and 2697?
Resolution: 93
Request: Calculate the highest common divisor of 822888 and 60.
Resolution: 12
Request: What is the greatest common divisor of 7260 and 22?
Resolution: 22
Request: What is the greatest common divisor of 13 and 611?
Resolution: 13
Request: What is the greatest common factor of 880 and 803?
Resolution: 11
Request: What is the greatest common divisor of 45 and 3285?
Resolution: 45
Request: Calculate the greatest common divisor of 21793616 and 15080.
Resolution: 3016
Request: What is the greatest common factor of 702 and 29248297?
Resolution: 13
Request: Calculate the greatest common factor of 16610 and 5529620.
Resolution: 1510
Request: What is the highest common divisor of 8878 and 138?
Resolution: 46
Request: Calculate the greatest common divisor of 99 and 9.
Resolution: 9
Request: Calculate the greatest common factor of 20 and 433190.
Resolution: 10
Request: Calculate the greatest common divisor of 978652 and 773015.
Resolution: 1501
Request: What is the greatest common divisor of 4152 and 4?
Resolution: 4
Request: What is the greatest common divisor of 57278 and 26?
Resolution: 26
Request: Cal
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english
|
probability: swr p level set
----------------------------
Query: Three letters picked without replacement from {e: 2, j: 1, p: 2, a: 1, v: 1, t: 1}. What is prob of picking 2 p and 1 j?
Workthrough: 1/56
Query: Calculate prob of picking 1 q, 2 t, and 1 j when four letters picked without replacement from qjmqgqttjjggqgqmmqq.
Workthrough: 7/1292
Query: Two letters picked without replacement from {x: 13, j: 5}. What is prob of picking 2 x?
Workthrough: 26/51
Query: Two letters picked without replacement from {j: 1, m: 1, x: 1, h: 1, r: 1}. What is prob of picking 1 m and 1 j?
Workthrough: 1/10
Query: Four letters picked without replacement from zzzzzztzttttz. What is prob of picking 3 z and 1 t?
Workthrough: 56/143
Query: Two letters picked without replacement from {e: 8, c: 2}. Give prob of picking 2 e.
Workthrough: 28/45
Query: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from thvwtwtndvnt.
Workthrough: 2/33
Query: Three letters picked without replacement from {v: 1, s: 1, b: 1, u: 1, o: 1}. Give prob of picking 1 u, 1 s, and 1 v.
Workthrough: 1/10
Query: Three letters picked without replacement from {y: 1, u: 2, j: 1, f: 1, g: 2}. What is prob of picking 2 u and 1 y?
Workthrough: 1/35
Query: Two letters picked without replacement from {g: 1, e: 2, b: 1, f: 4}. Give prob of picking 1 f and 1 b.
Workthrough: 1/7
Query: Two letters picked without replacement from {u: 8, j: 5}. Give prob of picking 2 u.
Workthrough: 14/39
Query: Two letters picked without replacement from bbbnbbeebjbbbbjbnbje. What is prob of picking 2 n?
Workthrough: 1/190
Query: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from qbggkgt.
Workthrough: 1/21
Query: What is prob of picking 2 g when two letters picked without replacement from {g: 10, c: 2}?
Workthrough: 15/22
Query: Three letters picked without replacement from ggsgggsgsggsggsglgs. What is prob of picking 3 g?
Workthrough: 220/969
Query: Calculate prob of picking 4 i
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english
|
arithmetic: nearest integer root
--------------------------------
Problem: What is the square root of 8094 to the nearest integer?
Resolution: 90
Problem: What is 1775600085 to the power of 1/2, to the nearest integer?
Resolution: 42138
Problem: What is 782854514 to the power of 1/9, to the nearest integer?
Resolution: 10
Problem: What is 1639 to the power of 1/2, to the nearest integer?
Resolution: 40
Problem: What is 69625836 to the power of 1/5, to the nearest integer?
Resolution: 37
Problem: What is the sixth root of 4509917601 to the nearest integer?
Resolution: 41
Problem: What is the ninth root of 2802206 to the nearest integer?
Resolution: 5
Problem: What is the third root of 42537830 to the nearest integer?
Resolution: 349
Problem: What is the square root of 42283 to the nearest integer?
Resolution: 206
Problem: What is 22393 to the power of 1/4, to the nearest integer?
Resolution: 12
Problem: What is 510936 to the power of 1/6, to the nearest integer?
Resolution: 9
Problem: What is the cube root of 943074 to the nearest integer?
Resolution: 98
Problem: What is 2142683797 to the power of 1/2, to the nearest integer?
Resolution: 46289
Problem: What is 1242068 to the power of 1/2, to the nearest integer?
Resolution: 1114
Problem: What is the eighth root of 233012252 to the nearest integer?
Resolution: 11
Problem: What is the square root of 243283 to the nearest integer?
Resolution: 493
Problem: What is 3559764546 to the power of 1/7, to the nearest integer?
Resolution: 23
Problem: What is the third root of 7365153 to the nearest integer?
Resolution: 195
Problem: What is the square root of 7495717 to the nearest integer?
Resolution: 2738
Problem: What is the fourth root of 3519700 to the nearest integer?
Resolution: 43
Problem: What is 1915 to the power of 1/6, to the nearest integer?
Resolution: 4
Problem: What is the square root of 11674 to the nearest integer?
Resolution: 108
Problem: What is 6469 to the power of 1/8, to the nearest integer?
Resolution: 3
P
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english
|
numbers: place value
--------------------
Item: What is the units digit of 535?
Clarification: 5
Item: What is the hundreds digit of 1306?
Clarification: 3
Item: What is the units digit of 98222?
Clarification: 2
Item: What is the units digit of 224204049?
Clarification: 9
Item: What is the ten thousands digit of 14195648?
Clarification: 9
Item: What is the hundreds digit of 27758152?
Clarification: 1
Item: What is the thousands digit of 89182?
Clarification: 9
Item: What is the units digit of 1528063?
Clarification: 3
Item: What is the hundred thousands digit of 899736496?
Clarification: 7
Item: What is the units digit of 57942?
Clarification: 2
Item: What is the hundreds digit of 1073719?
Clarification: 7
Item: What is the tens digit of 37936450?
Clarification: 5
Item: What is the hundreds digit of 5719026?
Clarification: 0
Item: What is the hundreds digit of 40778305?
Clarification: 3
Item: What is the tens digit of 911735?
Clarification: 3
Item: What is the ten thousands digit of 1848367?
Clarification: 4
Item: What is the ten thousands digit of 347033?
Clarification: 4
Item: What is the hundreds digit of 10979?
Clarification: 9
Item: What is the units digit of 135842314?
Clarification: 4
Item: What is the hundreds digit of 88487?
Clarification: 4
Item: What is the thousands digit of 24080345?
Clarification: 0
Item: What is the hundreds digit of 51446?
Clarification: 4
Item: What is the tens digit of 280395127?
Clarification: 2
Item: What is the ten thousands digit of 930032?
Clarification: 3
Item: What is the tens digit of 8374213?
Clarification: 1
Item: What is the ten thousands digit of 52461962?
Clarification: 6
Item: What is the millions digit of 15405638?
Clarification: 5
Item: What is the hundreds digit of 958057?
Clarification: 0
Item: What is the tens digit of 91970?
Clarification: 7
Item: What is the ten millions digit of 10785181?
Clarification: 1
Item: What is the units digit of 95871?
Clarification: 1
Item: What is the tens digit of 30116?
Clarifica
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english
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numbers: div remainder
----------------------
Given: Calculate the remainder when 4006 is divided by 19.
Yields: 16
Given: Calculate the remainder when 31816608 is divided by 1495.
Yields: 18
Given: What is the remainder when 16631765 is divided by 529?
Yields: 5
Given: What is the remainder when 104324 is divided by 1013?
Yields: 998
Given: Calculate the remainder when 137095 is divided by 1443.
Yields: 10
Given: What is the remainder when 24951385 is divided by 308?
Yields: 305
Given: Calculate the remainder when 8831550 is divided by 1766266.
Yields: 220
Given: What is the remainder when 7679 is divided by 23?
Yields: 20
Given: What is the remainder when 212 is divided by 164?
Yields: 48
Given: What is the remainder when 4377 is divided by 880?
Yields: 857
Given: What is the remainder when 84467 is divided by 66?
Yields: 53
Given: What is the remainder when 1817430 is divided by 786?
Yields: 198
Given: Calculate the remainder when 54747 is divided by 219.
Yields: 216
Given: What is the remainder when 1305258 is divided by 3?
Yields: 0
Given: What is the remainder when 3114 is divided by 10?
Yields: 4
Given: What is the remainder when 293 is divided by 256?
Yields: 37
Given: What is the remainder when 205 is divided by 16?
Yields: 13
Given: Calculate the remainder when 322869 is divided by 778.
Yields: 777
Given: Calculate the remainder when 278 is divided by 70.
Yields: 68
Given: Calculate the remainder when 362 is divided by 52.
Yields: 50
Given: Calculate the remainder when 6522 is divided by 87.
Yields: 84
Given: What is the remainder when 263 is divided by 103?
Yields: 57
Given: What is the remainder when 82 is divided by 30?
Yields: 22
Given: Calculate the remainder when 216838 is divided by 13.
Yields: 11
Given: Calculate the remainder when 257619364 is divided by 138.
Yields: 136
Given: What is the remainder when 3607 is divided by 9?
Yields: 7
Given: Calculate the remainder when 295319 is divided by 6283.
Yields: 18
Given: Calculate the remainder when 867
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english
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probability: swr p sequence
---------------------------
Challenge: Four letters picked without replacement from {c: 9, i: 10}. Give prob of sequence ciii.
Calculation: 45/646
Challenge: What is prob of sequence wt when two letters picked without replacement from wwwwtmwwmw?
Calculation: 7/90
Challenge: Calculate prob of sequence ffn when three letters picked without replacement from {n: 1, f: 7, r: 2}.
Calculation: 7/120
Challenge: What is prob of sequence iaz when three letters picked without replacement from {n: 1, z: 1, a: 2, i: 1}?
Calculation: 1/30
Challenge: Four letters picked without replacement from {f: 4, b: 5, v: 3, q: 1}. Give prob of sequence fvfv.
Calculation: 3/715
Challenge: Three letters picked without replacement from {f: 1, j: 1, r: 1, p: 1, z: 1, u: 2}. Give prob of sequence uuj.
Calculation: 1/105
Challenge: Two letters picked without replacement from wcpccwww. What is prob of sequence ww?
Calculation: 3/14
Challenge: Four letters picked without replacement from {a: 3, n: 11}. What is prob of sequence aana?
Calculation: 1/364
Challenge: Calculate prob of sequence yeq when three letters picked without replacement from {q: 3, x: 2, y: 2, e: 4, u: 7}.
Calculation: 1/204
Challenge: Two letters picked without replacement from {t: 6, m: 6}. Give prob of sequence tm.
Calculation: 3/11
Challenge: What is prob of sequence ppiu when four letters picked without replacement from uppurip?
Calculation: 1/70
Challenge: Calculate prob of sequence mi when two letters picked without replacement from {i: 1, u: 1, m: 1, f: 1, r: 2, e: 1}.
Calculation: 1/42
Challenge: What is prob of sequence bbbb when four letters picked without replacement from fbbbbfbfbfffbf?
Calculation: 5/143
Challenge: Calculate prob of sequence royr when four letters picked without replacement from rooryrrrrrrrrmrrr.
Calculation: 13/2380
Challenge: Two letters picked without replacement from {n: 1, x: 1, v: 1, h: 1, g: 1, z: 2}. What is prob of sequence zz?
Calculation: 1/21
Challenge: What i
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english
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measurement: time
-----------------
Problem Statement: What is 250 minutes after 5:33 AM?
Explanation: 9:43 AM
Problem Statement: What is 501 minutes after 10:59 PM?
Explanation: 7:20 AM
Problem Statement: What is 56 minutes before 7:21 AM?
Explanation: 6:25 AM
Problem Statement: How many minutes are there between 6:48 PM and 10:58 PM?
Explanation: 250
Problem Statement: How many minutes are there between 12:03 AM and 4:28 AM?
Explanation: 265
Problem Statement: How many minutes are there between 6:22 PM and 8:41 PM?
Explanation: 139
Problem Statement: What is 463 minutes after 2:45 AM?
Explanation: 10:28 AM
Problem Statement: How many minutes are there between 8:58 PM and 5:03 AM?
Explanation: 485
Problem Statement: What is 171 minutes after 5:14 AM?
Explanation: 8:05 AM
Problem Statement: How many minutes are there between 7:21 AM and 5:31 PM?
Explanation: 610
Problem Statement: What is 714 minutes before 8:03 PM?
Explanation: 8:09 AM
Problem Statement: How many minutes are there between 6:15 PM and 4:24 AM?
Explanation: 609
Problem Statement: What is 207 minutes after 3:50 PM?
Explanation: 7:17 PM
Problem Statement: What is 400 minutes after 11:50 PM?
Explanation: 6:30 AM
Problem Statement: What is 56 minutes before 12:57 AM?
Explanation: 12:01 AM
Problem Statement: What is 305 minutes after 11:39 PM?
Explanation: 4:44 AM
Problem Statement: What is 158 minutes before 2:41 PM?
Explanation: 12:03 PM
Problem Statement: How many minutes are there between 2:47 AM and 8:58 AM?
Explanation: 371
Problem Statement: How many minutes are there between 2:00 PM and 9:37 PM?
Explanation: 457
Problem Statement: How many minutes are there between 12:36 AM and 7:07 AM?
Explanation: 391
Problem Statement: How many minutes are there between 9:08 AM and 3:53 PM?
Explanation: 405
Problem Statement: How many minutes are there between 1:17 PM and 11:13 PM?
Explanation: 596
Problem Statement: What is 130 minutes after 10:41 PM?
Explanation: 12:51 AM
Problem Statement: What is 670 minute
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english
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arithmetic: nearest integer root
--------------------------------
Qn: What is the square root of 20322 to the nearest integer?
Sol: 143
Qn: What is 123583385 to the power of 1/9, to the nearest integer?
Sol: 8
Qn: What is the cube root of 11339774 to the nearest integer?
Sol: 225
Qn: What is the sixth root of 2836930728 to the nearest integer?
Sol: 38
Qn: What is 725 to the power of 1/6, to the nearest integer?
Sol: 3
Qn: What is the third root of 3348 to the nearest integer?
Sol: 15
Qn: What is the tenth root of 145615 to the nearest integer?
Sol: 3
Qn: What is the third root of 34251 to the nearest integer?
Sol: 32
Qn: What is 1461456373 to the power of 1/6, to the nearest integer?
Sol: 34
Qn: What is the square root of 1308 to the nearest integer?
Sol: 36
Qn: What is the cube root of 33114474 to the nearest integer?
Sol: 321
Qn: What is the square root of 727196512 to the nearest integer?
Sol: 26967
Qn: What is 1755249 to the power of 1/9, to the nearest integer?
Sol: 5
Qn: What is 128357521 to the power of 1/10, to the nearest integer?
Sol: 6
Qn: What is the square root of 1593777075 to the nearest integer?
Sol: 39922
Qn: What is the third root of 8439 to the nearest integer?
Sol: 20
Qn: What is the square root of 869679675 to the nearest integer?
Sol: 29490
Qn: What is the third root of 12595713 to the nearest integer?
Sol: 233
Qn: What is the square root of 357981981 to the nearest integer?
Sol: 18920
Qn: What is 6482 to the power of 1/5, to the nearest integer?
Sol: 6
Qn: What is the square root of 72219329 to the nearest integer?
Sol: 8498
Qn: What is the tenth root of 5575729651 to the nearest integer?
Sol: 9
Qn: What is the cube root of 5750432 to the nearest integer?
Sol: 179
Qn: What is the seventh root of 48 to the nearest integer?
Sol: 2
Qn: What is 190541440 to the power of 1/8, to the nearest integer?
Sol: 11
Qn: What is the square root of 1161114374 to the nearest integer?
Sol: 34075
Qn: What is 236365 to the power of 1/6, to the nearest integer?
So
|
english
|
arithmetic: nearest integer root
--------------------------------
Math Problem: What is 9281 to the power of 1/2, to the nearest integer?
Fix: 96
Math Problem: What is 100 to the power of 1/2, to the nearest integer?
Fix: 10
Math Problem: What is 34541 to the power of 1/7, to the nearest integer?
Fix: 4
Math Problem: What is the cube root of 13479483 to the nearest integer?
Fix: 238
Math Problem: What is the cube root of 4728525 to the nearest integer?
Fix: 168
Math Problem: What is the third root of 17774 to the nearest integer?
Fix: 26
Math Problem: What is 626190234 to the power of 1/10, to the nearest integer?
Fix: 8
Math Problem: What is 12723569 to the power of 1/9, to the nearest integer?
Fix: 6
Math Problem: What is the third root of 3065407 to the nearest integer?
Fix: 145
Math Problem: What is 2215 to the power of 1/2, to the nearest integer?
Fix: 47
Math Problem: What is 15601 to the power of 1/4, to the nearest integer?
Fix: 11
Math Problem: What is 800845 to the power of 1/7, to the nearest integer?
Fix: 7
Math Problem: What is 255379908 to the power of 1/9, to the nearest integer?
Fix: 9
Math Problem: What is the third root of 23831 to the nearest integer?
Fix: 29
Math Problem: What is the tenth root of 9340724 to the nearest integer?
Fix: 5
Math Problem: What is 37371 to the power of 1/7, to the nearest integer?
Fix: 5
Math Problem: What is the square root of 867 to the nearest integer?
Fix: 29
Math Problem: What is the cube root of 970537 to the nearest integer?
Fix: 99
Math Problem: What is the eighth root of 4117 to the nearest integer?
Fix: 3
Math Problem: What is the cube root of 8968 to the nearest integer?
Fix: 21
Math Problem: What is 2098 to the power of 1/9, to the nearest integer?
Fix: 2
Math Problem: What is 19429 to the power of 1/3, to the nearest integer?
Fix: 27
Math Problem: What is the square root of 807 to the nearest integer?
Fix: 28
Math Problem: What is 4204675 to the power of 1/8, to the nearest integer?
Fix: 7
Math Problem: Wha
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english
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measurement: conversion
-----------------------
Scenario: Convert 638737.2 weeks to seconds.
Answer: 386308258560
Scenario: How many microseconds are there in 51.82956ms?
Answer: 51829.56
Scenario: How many milliseconds are there in 54.53848 minutes?
Answer: 3272308.8
Scenario: What is 0.9027823 centuries in millennia?
Answer: 0.09027823
Scenario: What is 3/5 of a century in decades?
Answer: 6
Scenario: Convert 662.4837 centuries to years.
Answer: 66248.37
Scenario: Convert 119174.538 hours to weeks.
Answer: 709.37225
Scenario: What is fifty-four fifths of a litre in millilitres?
Answer: 10800
Scenario: Convert 123.9643s to milliseconds.
Answer: 123964.3
Scenario: What is 575.6408 days in seconds?
Answer: 49735365.12
Scenario: How many months are there in 1/6 of a decade?
Answer: 20
Scenario: What is twenty-three eighths of a millisecond in microseconds?
Answer: 2875
Scenario: What is 3/25 of a litre in millilitres?
Answer: 120
Scenario: What is six fifths of a microgram in nanograms?
Answer: 1200
Scenario: What is 21/4 of a tonne in kilograms?
Answer: 5250
Scenario: What is five quarters of a tonne in kilograms?
Answer: 1250
Scenario: Convert 59.13002 milligrams to nanograms.
Answer: 59130020
Scenario: How many meters are there in 626.9874nm?
Answer: 0.0000006269874
Scenario: How many grams are there in 75/4 of a kilogram?
Answer: 18750
Scenario: How many millilitres are there in three fifths of a litre?
Answer: 600
Scenario: How many months are there in 642094.5 years?
Answer: 7705134
Scenario: How many months are there in seventeen quarters of a century?
Answer: 5100
Scenario: How many weeks are there in 177.344748 minutes?
Answer: 0.017593725
Scenario: How many millilitres are there in 0.1322437l?
Answer: 132.2437
Scenario: How many years are there in 7/2 of a millennium?
Answer: 3500
Scenario: How many millimeters are there in twenty-six fifths of a meter?
Answer: 5200
Scenario: How many millimeters are there in 7/4 of a meter?
Answer: 1750
Scenario: What is on
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english
|
measurement: time
-----------------
Task: How many minutes are there between 6:59 AM and 12:14 PM?
Ans: 315
Task: What is 620 minutes after 10:23 AM?
Ans: 8:43 PM
Task: How many minutes are there between 5:39 AM and 4:23 PM?
Ans: 644
Task: How many minutes are there between 12:25 AM and 12:58 AM?
Ans: 33
Task: How many minutes are there between 11:38 AM and 7:17 PM?
Ans: 459
Task: How many minutes are there between 6:13 PM and 1:59 AM?
Ans: 466
Task: How many minutes are there between 1:24 AM and 9:32 AM?
Ans: 488
Task: How many minutes are there between 12:43 PM and 5:32 PM?
Ans: 289
Task: What is 11 minutes before 11:23 PM?
Ans: 11:12 PM
Task: What is 251 minutes after 10:48 PM?
Ans: 2:59 AM
Task: How many minutes are there between 4:37 AM and 2:13 PM?
Ans: 576
Task: What is 63 minutes after 3:38 PM?
Ans: 4:41 PM
Task: How many minutes are there between 11:48 PM and 9:05 AM?
Ans: 557
Task: How many minutes are there between 6:28 PM and 4:56 AM?
Ans: 628
Task: What is 715 minutes after 10:09 PM?
Ans: 10:04 AM
Task: How many minutes are there between 12:05 AM and 12:30 AM?
Ans: 25
Task: How many minutes are there between 1:38 PM and 6:15 PM?
Ans: 277
Task: What is 532 minutes after 12:44 AM?
Ans: 9:36 AM
Task: How many minutes are there between 11:11 AM and 5:42 PM?
Ans: 391
Task: How many minutes are there between 10:57 AM and 1:47 PM?
Ans: 170
Task: What is 421 minutes after 10:22 AM?
Ans: 5:23 PM
Task: How many minutes are there between 4:34 PM and 3:46 AM?
Ans: 672
Task: What is 33 minutes after 12:12 PM?
Ans: 12:45 PM
Task: How many minutes are there between 12:49 AM and 11:16 AM?
Ans: 627
Task: What is 48 minutes after 4:40 AM?
Ans: 5:28 AM
Task: How many minutes are there between 5:41 PM and 9:24 PM?
Ans: 223
Task: What is 627 minutes before 11:38 PM?
Ans: 1:11 PM
Task: What is 48 minutes before 3:28 AM?
Ans: 2:40 AM
Task: What is 345 minutes before 6:11 PM?
Ans: 12:26 PM
Task: What is 408 minutes after 6:32 PM?
Ans: 1:20 AM
Task: What is 432 minutes after 10
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english
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measurement: time
-----------------
Input: How many minutes are there between 4:24 AM and 12:03 PM?
Ans: 459
Input: What is 445 minutes after 7:57 AM?
Ans: 3:22 PM
Input: What is 360 minutes after 8:46 PM?
Ans: 2:46 AM
Input: What is 439 minutes before 10:47 PM?
Ans: 3:28 PM
Input: How many minutes are there between 1:19 PM and 1:54 PM?
Ans: 35
Input: What is 508 minutes before 10:45 PM?
Ans: 2:17 PM
Input: What is 470 minutes before 6:25 AM?
Ans: 10:35 PM
Input: How many minutes are there between 9:19 AM and 9:03 PM?
Ans: 704
Input: How many minutes are there between 8:00 PM and 4:08 AM?
Ans: 488
Input: How many minutes are there between 1:20 AM and 1:24 AM?
Ans: 4
Input: What is 175 minutes before 6:02 PM?
Ans: 3:07 PM
Input: How many minutes are there between 3:41 AM and 3:21 PM?
Ans: 700
Input: What is 583 minutes after 11:36 AM?
Ans: 9:19 PM
Input: How many minutes are there between 4:14 PM and 6:01 PM?
Ans: 107
Input: How many minutes are there between 5:19 AM and 9:31 AM?
Ans: 252
Input: How many minutes are there between 7:52 AM and 4:15 PM?
Ans: 503
Input: What is 101 minutes before 3:38 AM?
Ans: 1:57 AM
Input: What is 675 minutes after 9:30 PM?
Ans: 8:45 AM
Input: What is 488 minutes before 12:15 AM?
Ans: 4:07 PM
Input: How many minutes are there between 3:14 AM and 2:43 PM?
Ans: 689
Input: What is 443 minutes before 7:24 PM?
Ans: 12:01 PM
Input: How many minutes are there between 7:38 AM and 4:50 PM?
Ans: 552
Input: What is 33 minutes after 2:12 AM?
Ans: 2:45 AM
Input: What is 128 minutes after 5:27 AM?
Ans: 7:35 AM
Input: What is 246 minutes after 12:43 AM?
Ans: 4:49 AM
Input: How many minutes are there between 10:51 AM and 1:15 PM?
Ans: 144
Input: What is 676 minutes before 1:16 PM?
Ans: 2:00 AM
Input: What is 204 minutes after 4:30 PM?
Ans: 7:54 PM
Input: How many minutes are there between 11:35 AM and 11:45 AM?
Ans: 10
Input: How many minutes are there between 7:55 PM and 4:43 AM?
Ans: 528
Input: How many minutes are there between 1:08 AM and 2:25 AM?
|
english
|
numbers: place value
--------------------
Ask: What is the tens digit of 61238991?
Outcome: 9
Ask: What is the thousands digit of 335079470?
Outcome: 9
Ask: What is the units digit of 74227?
Outcome: 7
Ask: What is the thousands digit of 3659280211?
Outcome: 0
Ask: What is the tens digit of 589?
Outcome: 8
Ask: What is the tens digit of 988?
Outcome: 8
Ask: What is the tens digit of 77591?
Outcome: 9
Ask: What is the tens digit of 4836?
Outcome: 3
Ask: What is the tens digit of 1084?
Outcome: 8
Ask: What is the thousands digit of 741403312?
Outcome: 3
Ask: What is the units digit of 504?
Outcome: 4
Ask: What is the tens digit of 1077524?
Outcome: 2
Ask: What is the hundreds digit of 639979?
Outcome: 9
Ask: What is the hundreds digit of 87948095?
Outcome: 0
Ask: What is the hundred thousands digit of 18925456?
Outcome: 9
Ask: What is the thousands digit of 2230395057?
Outcome: 5
Ask: What is the units digit of 640818?
Outcome: 8
Ask: What is the hundred thousands digit of 520727?
Outcome: 5
Ask: What is the hundreds digit of 37239040?
Outcome: 0
Ask: What is the tens digit of 9180?
Outcome: 8
Ask: What is the ten millions digit of 148378191?
Outcome: 4
Ask: What is the ten thousands digit of 1465300099?
Outcome: 0
Ask: What is the thousands digit of 26415?
Outcome: 6
Ask: What is the units digit of 5872048922?
Outcome: 2
Ask: What is the hundreds digit of 49482?
Outcome: 4
Ask: What is the thousands digit of 1958005610?
Outcome: 5
Ask: What is the ten thousands digit of 323957285?
Outcome: 5
Ask: What is the hundred thousands digit of 394306?
Outcome: 3
Ask: What is the hundreds digit of 1930545?
Outcome: 5
Ask: What is the hundred thousands digit of 1183622642?
Outcome: 6
Ask: What is the tens digit of 4673?
Outcome: 7
Ask: What is the tens digit of 178475026?
Outcome: 2
Ask: What is the hundred thousands digit of 1249227?
Outcome: 2
Ask: What is the thousands digit of 1500?
Outcome: 1
Ask: What is the tens digit of 43139?
Outcome: 3
Ask: What is the tens digit of 2
|
english
|
numbers: div remainder
----------------------
Step: What is the remainder when 1655047 is divided by 4770?
Resolution: 4627
Step: Calculate the remainder when 11408 is divided by 5703.
Resolution: 2
Step: Calculate the remainder when 742243 is divided by 356.
Resolution: 339
Step: What is the remainder when 185 is divided by 87?
Resolution: 11
Step: What is the remainder when 209 is divided by 20?
Resolution: 9
Step: What is the remainder when 14528 is divided by 803?
Resolution: 74
Step: What is the remainder when 196020513 is divided by 3396?
Resolution: 3393
Step: Calculate the remainder when 1416802 is divided by 12319.
Resolution: 117
Step: What is the remainder when 7 is divided by 3?
Resolution: 1
Step: Calculate the remainder when 9197 is divided by 2.
Resolution: 1
Step: What is the remainder when 12040 is divided by 33?
Resolution: 28
Step: What is the remainder when 2134045 is divided by 153?
Resolution: 1
Step: What is the remainder when 171619 is divided by 269?
Resolution: 266
Step: Calculate the remainder when 646 is divided by 212.
Resolution: 10
Step: What is the remainder when 40804 is divided by 20365?
Resolution: 74
Step: What is the remainder when 26987 is divided by 26664?
Resolution: 323
Step: Calculate the remainder when 70872 is divided by 22598.
Resolution: 3078
Step: Calculate the remainder when 167 is divided by 12.
Resolution: 11
Step: What is the remainder when 24962 is divided by 8317?
Resolution: 11
Step: Calculate the remainder when 999 is divided by 8.
Resolution: 7
Step: Calculate the remainder when 89345 is divided by 101.
Resolution: 61
Step: Calculate the remainder when 6998 is divided by 3.
Resolution: 2
Step: What is the remainder when 506019 is divided by 4478?
Resolution: 5
Step: Calculate the remainder when 6611 is divided by 1647.
Resolution: 23
Step: Calculate the remainder when 18966 is divided by 18.
Resolution: 12
Step: Calculate the remainder when 33274 is divided by 94.
Resolution: 92
Step: Calculate the remainder wh
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english
|
numbers: div remainder
----------------------
Problem Statement: Calculate the remainder when 17860804 is divided by 1582.
Yields: 24
Problem Statement: What is the remainder when 1674434 is divided by 239191?
Yields: 97
Problem Statement: Calculate the remainder when 27735 is divided by 13863.
Yields: 9
Problem Statement: What is the remainder when 8713 is divided by 458?
Yields: 11
Problem Statement: Calculate the remainder when 8960305 is divided by 1547.
Yields: 81
Problem Statement: Calculate the remainder when 206000 is divided by 49.
Yields: 4
Problem Statement: What is the remainder when 591 is divided by 212?
Yields: 167
Problem Statement: Calculate the remainder when 17676 is divided by 1932.
Yields: 288
Problem Statement: Calculate the remainder when 1511141 is divided by 432.
Yields: 5
Problem Statement: What is the remainder when 826 is divided by 140?
Yields: 126
Problem Statement: What is the remainder when 69071 is divided by 21652?
Yields: 4115
Problem Statement: Calculate the remainder when 66740177 is divided by 260.
Yields: 257
Problem Statement: What is the remainder when 101025 is divided by 138?
Yields: 9
Problem Statement: What is the remainder when 3952 is divided by 7?
Yields: 4
Problem Statement: Calculate the remainder when 26115 is divided by 41.
Yields: 39
Problem Statement: Calculate the remainder when 426 is divided by 48.
Yields: 42
Problem Statement: Calculate the remainder when 205 is divided by 70.
Yields: 65
Problem Statement: What is the remainder when 44 is divided by 10?
Yields: 4
Problem Statement: What is the remainder when 278 is divided by 194?
Yields: 84
Problem Statement: Calculate the remainder when 23533 is divided by 79.
Yields: 70
Problem Statement: Calculate the remainder when 41648 is divided by 267.
Yields: 263
Problem Statement: What is the remainder when 1387720 is divided by 346924?
Yields: 24
Problem Statement: What is the remainder when 164 is divided by 34?
Yields: 28
Problem Statement: Calculate the remaind
|
english
|
probability: swr p level set
----------------------------
Example: Calculate prob of picking 2 u when two letters picked without replacement from yuffffeuayaffy.
Therefore: 1/91
Example: Three letters picked without replacement from {f: 3, o: 1, z: 6, t: 3}. What is prob of picking 1 z, 1 t, and 1 o?
Therefore: 9/143
Example: What is prob of picking 2 s, 1 k, and 1 u when four letters picked without replacement from {s: 9, k: 3, u: 7}?
Therefore: 63/323
Example: Calculate prob of picking 2 d and 1 b when three letters picked without replacement from iauuvuibidibiia.
Therefore: 0
Example: What is prob of picking 2 c when two letters picked without replacement from {c: 6, t: 2}?
Therefore: 15/28
Example: Four letters picked without replacement from ohgbogsghossq. Give prob of picking 2 g, 1 o, and 1 h.
Therefore: 18/715
Example: What is prob of picking 3 v when three letters picked without replacement from {v: 3, r: 4, o: 9, c: 2}?
Therefore: 1/816
Example: Two letters picked without replacement from iopxgxp. Give prob of picking 1 i and 1 o.
Therefore: 1/21
Example: What is prob of picking 2 o when two letters picked without replacement from ooom?
Therefore: 1/2
Example: Four letters picked without replacement from olilloloiooololiooi. Give prob of picking 1 i, 2 o, and 1 l.
Therefore: 72/323
Example: What is prob of picking 2 h when two letters picked without replacement from dhdhdmddhhmdhdpddh?
Therefore: 5/51
Example: Two letters picked without replacement from {q: 4, d: 2, y: 1}. What is prob of picking 1 y and 1 d?
Therefore: 2/21
Example: Two letters picked without replacement from zvzvzqtvzzvvvvvv. What is prob of picking 1 z and 1 q?
Therefore: 1/24
Example: Three letters picked without replacement from {n: 4, z: 1, a: 2, i: 3, j: 1}. What is prob of picking 1 a and 2 i?
Therefore: 2/55
Example: What is prob of picking 1 z and 1 i when two letters picked without replacement from {b: 1, z: 1, j: 4, a: 4, i: 1, p: 1}?
Therefore: 1/66
Example: Two letters picked
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english
|
measurement: conversion
-----------------------
Statement: How many millimeters are there in 88/5 of a meter?
Response: 17600
Statement: What is 5759.084 litres in millilitres?
Response: 5759084
Statement: How many millilitres are there in one quarter of a litre?
Response: 250
Statement: Convert 127877.01 months to centuries.
Response: 106.564175
Statement: What is 982.9733ug in milligrams?
Response: 0.9829733
Statement: What is 45/4 of a litre in millilitres?
Response: 11250
Statement: What is 3/50 of a kilogram in milligrams?
Response: 60000
Statement: How many grams are there in 1.88666ug?
Response: 0.00000188666
Statement: Convert 103.6763 nanometers to centimeters.
Response: 0.00001036763
Statement: What is twenty-one quarters of a second in milliseconds?
Response: 5250
Statement: What is 0.1396719 meters in nanometers?
Response: 139671900
Statement: What is 0.6477932 minutes in milliseconds?
Response: 38867.592
Statement: What is 375.1493 years in months?
Response: 4501.7916
Statement: How many years are there in 41/2 of a century?
Response: 2050
Statement: What is thirty-seven halves of a gram in milligrams?
Response: 18500
Statement: How many millilitres are there in 85126.89 litres?
Response: 85126890
Statement: What is 0.3645514 grams in tonnes?
Response: 0.0000003645514
Statement: How many minutes are there in 6.932553 microseconds?
Response: 0.00000011554255
Statement: How many microseconds are there in 11/4 of a millisecond?
Response: 2750
Statement: What is fifty-one halves of a second in milliseconds?
Response: 25500
Statement: What is twenty-one quarters of a millennium in years?
Response: 5250
Statement: Convert 0.9272111 days to minutes.
Response: 1335.183984
Statement: How many years are there in twenty-seven halves of a decade?
Response: 135
Statement: How many minutes are there in 62.56187 days?
Response: 90089.0928
Statement: How many millimeters are there in thirteen eighths of a meter?
Response: 1625
Statement: What is 37/5 of a kilogram in g
|
english
|
numbers: gcd
------------
Topic: What is the greatest common divisor of 458 and 2672659?
A.: 229
Topic: What is the highest common divisor of 67984 and 387149456?
A.: 9712
Topic: What is the highest common factor of 54 and 54594?
A.: 54
Topic: What is the highest common factor of 1540 and 775?
A.: 5
Topic: What is the greatest common divisor of 18 and 7731?
A.: 9
Topic: Calculate the highest common factor of 3 and 843.
A.: 3
Topic: Calculate the highest common factor of 450 and 681678.
A.: 18
Topic: Calculate the greatest common divisor of 15900273 and 162295.
A.: 4637
Topic: Calculate the highest common divisor of 105308 and 56.
A.: 28
Topic: Calculate the highest common factor of 64 and 31088.
A.: 16
Topic: What is the greatest common divisor of 961 and 3749047?
A.: 31
Topic: What is the highest common factor of 4857815 and 115?
A.: 5
Topic: What is the greatest common divisor of 56 and 5768?
A.: 56
Topic: What is the greatest common factor of 287 and 369?
A.: 41
Topic: What is the highest common factor of 424882 and 94?
A.: 2
Topic: What is the highest common factor of 5084 and 620?
A.: 124
Topic: What is the highest common divisor of 16 and 8144?
A.: 16
Topic: What is the highest common divisor of 131007331 and 5096?
A.: 637
Topic: What is the highest common factor of 3454 and 20410?
A.: 314
Topic: What is the greatest common factor of 73954 and 618?
A.: 206
Topic: Calculate the greatest common factor of 18 and 2400.
A.: 6
Topic: What is the greatest common divisor of 1842 and 678?
A.: 6
Topic: Calculate the highest common divisor of 9094 and 2.
A.: 2
Topic: What is the greatest common divisor of 3552 and 64?
A.: 32
Topic: Calculate the highest common divisor of 66 and 14374500.
A.: 6
Topic: What is the greatest common divisor of 3708672 and 132?
A.: 132
Topic: Calculate the greatest common factor of 404469603 and 118.
A.: 59
Topic: What is the highest common factor of 452 and 4294?
A.: 226
Topic: What is the greatest common factor of 39278533 and 9758?
A.: 287
|
english
|
numbers: is factor
------------------
Inquiry: Is 52 a factor of 285861710?
Outcome: False
Inquiry: Is 34974483 a multiple of 248?
Outcome: False
Inquiry: Does 3 divide 1987?
Outcome: False
Inquiry: Is 23530051 a multiple of 15?
Outcome: False
Inquiry: Does 31 divide 2582?
Outcome: False
Inquiry: Does 268 divide 47168?
Outcome: True
Inquiry: Is 166 a factor of 55112?
Outcome: True
Inquiry: Is 1096359435 a multiple of 1405?
Outcome: True
Inquiry: Is 9824 a multiple of 26?
Outcome: False
Inquiry: Is 684937058 a multiple of 13?
Outcome: True
Inquiry: Is 31601 a multiple of 72?
Outcome: False
Inquiry: Does 7 divide 20133?
Outcome: False
Inquiry: Is 132552576 a multiple of 18?
Outcome: True
Inquiry: Is 78 a factor of 33410183?
Outcome: False
Inquiry: Is 200 a factor of 1753200?
Outcome: True
Inquiry: Does 1634 divide 33244042?
Outcome: False
Inquiry: Does 78 divide 1016682?
Outcome: False
Inquiry: Does 4701 divide 256373736?
Outcome: True
Inquiry: Is 11 a factor of 149622?
Outcome: True
Inquiry: Does 2031 divide 26924967?
Outcome: True
Inquiry: Is 15 a factor of 263?
Outcome: False
Inquiry: Is 83 a factor of 142119489?
Outcome: True
Inquiry: Is 17 a factor of 96208?
Outcome: False
Inquiry: Is 10 a factor of 256488?
Outcome: False
Inquiry: Is 8557 a multiple of 8?
Outcome: False
Inquiry: Is 142510375 a multiple of 30?
Outcome: False
Inquiry: Is 30 a factor of 5310?
Outcome: True
Inquiry: Is 15125 a multiple of 9?
Outcome: False
Inquiry: Does 4405 divide 103886801?
Outcome: False
Inquiry: Does 4 divide 1274945?
Outcome: False
Inquiry: Does 1698 divide 27996488?
Outcome: False
Inquiry: Does 40 divide 141226?
Outcome: False
Inquiry: Is 27160536 a multiple of 312?
Outcome: True
Inquiry: Does 10 divide 452280?
Outcome: True
Inquiry: Is 4 a factor of 5058?
Outcome: False
Inquiry: Is 2200 a multiple of 22?
Outcome: True
Inquiry: Is 255 a multiple of 15?
Outcome: True
Inquiry: Is 5 a factor of 222465290?
Outcome: True
Inquiry: Is 15 a factor of 30015?
Outcome: True
Inquiry: Is 13
|
english
|
numbers: place value
--------------------
Let: What is the thousands digit of 2913824652?
Answer: 4
Let: What is the tens digit of 11038553?
Answer: 5
Let: What is the hundreds digit of 739?
Answer: 7
Let: What is the thousands digit of 17420439?
Answer: 0
Let: What is the hundred thousands digit of 5057050?
Answer: 0
Let: What is the tens digit of 2650?
Answer: 5
Let: What is the hundreds digit of 771527936?
Answer: 9
Let: What is the tens digit of 2196?
Answer: 9
Let: What is the tens digit of 3875718298?
Answer: 9
Let: What is the hundred thousands digit of 1489159703?
Answer: 1
Let: What is the ten thousands digit of 13459?
Answer: 1
Let: What is the units digit of 470423?
Answer: 3
Let: What is the ten thousands digit of 17478502?
Answer: 7
Let: What is the hundreds digit of 52016?
Answer: 0
Let: What is the hundred thousands digit of 19050336?
Answer: 0
Let: What is the thousands digit of 2139?
Answer: 2
Let: What is the thousands digit of 3669?
Answer: 3
Let: What is the hundred thousands digit of 981492?
Answer: 9
Let: What is the units digit of 181992?
Answer: 2
Let: What is the hundreds digit of 792?
Answer: 7
Let: What is the tens digit of 433?
Answer: 3
Let: What is the thousands digit of 174358?
Answer: 4
Let: What is the hundred millions digit of 1296162411?
Answer: 2
Let: What is the ten thousands digit of 233501?
Answer: 3
Let: What is the tens digit of 3361?
Answer: 6
Let: What is the tens digit of 5291694?
Answer: 9
Let: What is the thousands digit of 366454?
Answer: 6
Let: What is the ten millions digit of 362055383?
Answer: 6
Let: What is the hundreds digit of 465103?
Answer: 1
Let: What is the ten millions digit of 100263426?
Answer: 0
Let: What is the hundred thousands digit of 239283314?
Answer: 2
Let: What is the hundred thousands digit of 162388940?
Answer: 3
Let: What is the ten thousands digit of 50203?
Answer: 5
Let: What is the tens digit of 1485785?
Answer: 8
Let: What is the units digit of 1087?
Answer: 7
Let: What is the thousands dig
|
english
|
probability: swr p level set
----------------------------
Situation: Four letters picked without replacement from {m: 7, v: 2}. What is prob of picking 4 m?
Reply: 5/18
Situation: Calculate prob of picking 3 y and 1 a when four letters picked without replacement from yaayykky.
Reply: 4/35
Situation: Two letters picked without replacement from {x: 5, p: 4, i: 2}. Give prob of picking 1 i and 1 p.
Reply: 8/55
Situation: Four letters picked without replacement from mrqwwwmqwwww. Give prob of picking 3 q and 1 r.
Reply: 0
Situation: What is prob of picking 1 x and 2 k when three letters picked without replacement from kbkkkxgbkbkk?
Reply: 21/220
Situation: Four letters picked without replacement from {z: 7, a: 12}. What is prob of picking 1 a and 3 z?
Reply: 35/323
Situation: What is prob of picking 1 h and 1 x when two letters picked without replacement from hax?
Reply: 1/3
Situation: What is prob of picking 1 j and 2 f when three letters picked without replacement from bjbbjbbjhjbbbfjhjjf?
Reply: 7/969
Situation: Calculate prob of picking 2 r when two letters picked without replacement from vvvvrvvvvvr.
Reply: 1/55
Situation: Two letters picked without replacement from xxfwpww. Give prob of picking 1 p and 1 f.
Reply: 1/21
Situation: What is prob of picking 3 w and 1 n when four letters picked without replacement from {w: 6, n: 7}?
Reply: 28/143
Situation: Three letters picked without replacement from jjjjjjjjjejjjejjjjjj. Give prob of picking 3 e.
Reply: 0
Situation: Three letters picked without replacement from tcsccsyyyyj. What is prob of picking 2 c and 1 t?
Reply: 1/55
Situation: Four letters picked without replacement from xmuaxmmxmmuusumxmug. What is prob of picking 3 u and 1 m?
Reply: 35/1938
Situation: Three letters picked without replacement from shtoyssottossshsse. Give prob of picking 1 t, 1 s, and 1 o.
Reply: 3/34
Situation: What is prob of picking 1 y and 3 i when four letters picked without replacement from hiiyhiyyiiyhy?
Reply: 10/143
Situation: Two le
|
english
|
numbers: is prime
-----------------
Subject: Is 683959 composite?
Therefore: True
Subject: Is 6358873 a prime number?
Therefore: False
Subject: Is 394797595 a composite number?
Therefore: True
Subject: Is 48411881405 composite?
Therefore: True
Subject: Is 91627859 a prime number?
Therefore: False
Subject: Is 12800707 prime?
Therefore: True
Subject: Is 31694390347 prime?
Therefore: True
Subject: Is 231372797 a prime number?
Therefore: True
Subject: Is 1632997 composite?
Therefore: False
Subject: Is 10427 a prime number?
Therefore: True
Subject: Is 38638 composite?
Therefore: True
Subject: Is 927961 a prime number?
Therefore: True
Subject: Is 249285929 composite?
Therefore: True
Subject: Is 40520093 a composite number?
Therefore: False
Subject: Is 6311 prime?
Therefore: True
Subject: Is 14095 prime?
Therefore: False
Subject: Is 106627 a prime number?
Therefore: True
Subject: Is 565543 a prime number?
Therefore: False
Subject: Is 37362204361 a composite number?
Therefore: True
Subject: Is 11947227269 a composite number?
Therefore: False
Subject: Is 1047516127 a composite number?
Therefore: True
Subject: Is 37277 composite?
Therefore: False
Subject: Is 28001007481 a prime number?
Therefore: True
Subject: Is 74377 a prime number?
Therefore: True
Subject: Is 5079 a composite number?
Therefore: True
Subject: Is 132072631 prime?
Therefore: False
Subject: Is 66731070949 a composite number?
Therefore: True
Subject: Is 29875589 a composite number?
Therefore: True
Subject: Is 204469 a composite number?
Therefore: True
Subject: Is 47668238159 a composite number?
Therefore: False
Subject: Is 1459981 prime?
Therefore: False
Subject: Is 3270277 composite?
Therefore: False
Subject: Is 582796507 a prime number?
Therefore: True
Subject: Is 3405477223 prime?
Therefore: True
Subject: Is 81559691 composite?
Therefore: True
Subject: Is 16271083 a prime number?
Therefore: False
Subject: Is 27361 a composite number?
Therefore: False
Subject: Is 11072557 a prime number?
Therefore: True
Subje
|
english
|
probability: swr p sequence
---------------------------
Prompt: Three letters picked without replacement from mwwmwwmmmwwmmmmmmmw. What is prob of sequence mmm?
Compute: 220/969
Prompt: Calculate prob of sequence oa when two letters picked without replacement from {a: 1, f: 2, o: 4}.
Compute: 2/21
Prompt: Two letters picked without replacement from {c: 7, m: 7, h: 4}. Give prob of sequence mm.
Compute: 7/51
Prompt: Four letters picked without replacement from {y: 9}. What is prob of sequence yyyy?
Compute: 1
Prompt: What is prob of sequence jt when two letters picked without replacement from ajtj?
Compute: 1/6
Prompt: Four letters picked without replacement from {p: 5}. Give prob of sequence pppp.
Compute: 1
Prompt: What is prob of sequence dh when two letters picked without replacement from {d: 5, h: 3}?
Compute: 15/56
Prompt: Two letters picked without replacement from klkldgdlgagkkkk. What is prob of sequence kl?
Compute: 3/35
Prompt: Three letters picked without replacement from {g: 1, z: 3, w: 5, t: 2, s: 7}. What is prob of sequence wws?
Compute: 35/1224
Prompt: Two letters picked without replacement from ghxhkkcxchkkixk. What is prob of sequence gx?
Compute: 1/70
Prompt: What is prob of sequence rade when four letters picked without replacement from {j: 1, a: 1, r: 2, d: 1, e: 4}?
Compute: 1/378
Prompt: Three letters picked without replacement from lplldzuizilzzp. What is prob of sequence lzd?
Compute: 2/273
Prompt: Two letters picked without replacement from eemeeeemmmmmme. Give prob of sequence ee.
Compute: 3/13
Prompt: What is prob of sequence zvz when three letters picked without replacement from {o: 1, z: 2, v: 1, u: 2, s: 1}?
Compute: 1/105
Prompt: Calculate prob of sequence iq when two letters picked without replacement from qvzvqviiqbqz.
Compute: 2/33
Prompt: Four letters picked without replacement from {s: 2, v: 1, e: 7}. What is prob of sequence vsse?
Compute: 1/360
Prompt: What is prob of sequence ue when two letters picked without replacement from
|
english
|
arithmetic: nearest integer root
--------------------------------
Request: What is the third root of 6489 to the nearest integer?
Interpretation: 19
Request: What is the square root of 2621068539 to the nearest integer?
Interpretation: 51196
Request: What is the cube root of 2558024 to the nearest integer?
Interpretation: 137
Request: What is 354 to the power of 1/2, to the nearest integer?
Interpretation: 19
Request: What is 198 to the power of 1/6, to the nearest integer?
Interpretation: 2
Request: What is the ninth root of 32303 to the nearest integer?
Interpretation: 3
Request: What is 689 to the power of 1/6, to the nearest integer?
Interpretation: 3
Request: What is 3667257 to the power of 1/3, to the nearest integer?
Interpretation: 154
Request: What is the square root of 19838669 to the nearest integer?
Interpretation: 4454
Request: What is the square root of 2050889 to the nearest integer?
Interpretation: 1432
Request: What is the square root of 84 to the nearest integer?
Interpretation: 9
Request: What is 202051088 to the power of 1/2, to the nearest integer?
Interpretation: 14214
Request: What is the sixth root of 630 to the nearest integer?
Interpretation: 3
Request: What is 1029598 to the power of 1/2, to the nearest integer?
Interpretation: 1015
Request: What is the square root of 17390478 to the nearest integer?
Interpretation: 4170
Request: What is 598494 to the power of 1/2, to the nearest integer?
Interpretation: 774
Request: What is the square root of 13475870 to the nearest integer?
Interpretation: 3671
Request: What is 4497146 to the power of 1/5, to the nearest integer?
Interpretation: 21
Request: What is the cube root of 91240587 to the nearest integer?
Interpretation: 450
Request: What is the cube root of 163 to the nearest integer?
Interpretation: 5
Request: What is the third root of 4534 to the nearest integer?
Interpretation: 17
Request: What is the square root of 32587 to the nearest integer?
Interpretation: 181
Request: What is the cube
|
english
|
measurement: conversion
-----------------------
Puzzle: What is 6380.138 meters in nanometers?
Steps: 6380138000000
Puzzle: What is seven quarters of a year in months?
Steps: 21
Puzzle: What is 19/4 of a millisecond in microseconds?
Steps: 4750
Puzzle: Convert 90798.65 milligrams to grams.
Steps: 90.79865
Puzzle: What is 22.43732 millilitres in litres?
Steps: 0.02243732
Puzzle: Convert 0.1981229 grams to kilograms.
Steps: 0.0001981229
Puzzle: What is 1/10 of a milligram in micrograms?
Steps: 100
Puzzle: What is 3.001248 hours in microseconds?
Steps: 10804492800
Puzzle: What is thirty-four fifths of a micrometer in nanometers?
Steps: 6800
Puzzle: What is 24.24543 centimeters in micrometers?
Steps: 242454.3
Puzzle: How many nanograms are there in 6/5 of a microgram?
Steps: 1200
Puzzle: How many millilitres are there in 43/2 of a litre?
Steps: 21500
Puzzle: How many months are there in 3/25 of a century?
Steps: 144
Puzzle: What is seven eighths of a litre in millilitres?
Steps: 875
Puzzle: How many kilograms are there in three fifths of a tonne?
Steps: 600
Puzzle: What is 384865.7l in millilitres?
Steps: 384865700
Puzzle: Convert 25033.85 decades to years.
Steps: 250338.5
Puzzle: Convert 0.495549 centuries to millennia.
Steps: 0.0495549
Puzzle: How many nanograms are there in 0.711675 micrograms?
Steps: 711.675
Puzzle: How many days are there in 355772.7 hours?
Steps: 14823.8625
Puzzle: What is 601.3687 days in microseconds?
Steps: 51958255680000
Puzzle: What is 927.0868 litres in millilitres?
Steps: 927086.8
Puzzle: What is 0.7350122l in millilitres?
Steps: 735.0122
Puzzle: How many seconds are there in thirteen eighths of a hour?
Steps: 5850
Puzzle: What is 0.1324088g in milligrams?
Steps: 132.4088
Puzzle: What is 43/2 of a centimeter in millimeters?
Steps: 215
Puzzle: What is thirty-four fifths of a micrometer in nanometers?
Steps: 6800
Puzzle: What is 6905.57 minutes in nanoseconds?
Steps: 414334200000000
Puzzle: How many milligrams are there in 1.810268kg?
Steps:
|
english
|
numbers: place value
--------------------
Example: What is the thousands digit of 59631?
Math A: 9
Example: What is the hundreds digit of 18903?
Math A: 9
Example: What is the units digit of 1433?
Math A: 3
Example: What is the ten thousands digit of 27989?
Math A: 2
Example: What is the hundreds digit of 367448?
Math A: 4
Example: What is the ten thousands digit of 1276327?
Math A: 7
Example: What is the units digit of 327411?
Math A: 1
Example: What is the thousands digit of 189744441?
Math A: 4
Example: What is the hundreds digit of 2765?
Math A: 7
Example: What is the hundreds digit of 413336032?
Math A: 0
Example: What is the millions digit of 4160197828?
Math A: 0
Example: What is the tens digit of 805?
Math A: 0
Example: What is the hundreds digit of 9794?
Math A: 7
Example: What is the hundreds digit of 382?
Math A: 3
Example: What is the tens digit of 12343?
Math A: 4
Example: What is the ten millions digit of 15887544?
Math A: 1
Example: What is the units digit of 480?
Math A: 0
Example: What is the hundreds digit of 117203?
Math A: 2
Example: What is the hundred thousands digit of 374929789?
Math A: 9
Example: What is the units digit of 41286?
Math A: 6
Example: What is the thousands digit of 3508868121?
Math A: 8
Example: What is the thousands digit of 2013093?
Math A: 3
Example: What is the hundreds digit of 6392189?
Math A: 1
Example: What is the hundreds digit of 17545?
Math A: 5
Example: What is the ten thousands digit of 236664?
Math A: 3
Example: What is the hundreds digit of 540383833?
Math A: 8
Example: What is the ten millions digit of 102890966?
Math A: 0
Example: What is the hundred millions digit of 2426814640?
Math A: 4
Example: What is the thousands digit of 102611455?
Math A: 1
Example: What is the thousands digit of 3024?
Math A: 3
Example: What is the units digit of 10973?
Math A: 3
Example: What is the tens digit of 146308?
Math A: 0
Example: What is the hundreds digit of 138533?
Math A: 5
Example: What is the ten millions digit of 5848
|
english
|
measurement: conversion
-----------------------
Input: What is six fifths of a meter in millimeters?
Resolution: 1200
Input: How many centimeters are there in 7/4 of a meter?
Resolution: 175
Input: How many grams are there in twenty-seven quarters of a kilogram?
Resolution: 6750
Input: What is 61170.53 micrometers in nanometers?
Resolution: 61170530
Input: What is 7/8 of a milligram in micrograms?
Resolution: 875
Input: What is 77.60185 nanograms in grams?
Resolution: 0.00000007760185
Input: How many millilitres are there in 3/5 of a litre?
Resolution: 600
Input: What is 15/4 of a second in milliseconds?
Resolution: 3750
Input: What is three tenths of a kilogram in grams?
Resolution: 300
Input: What is 67737.03nm in micrometers?
Resolution: 67.73703
Input: What is thirty-four fifths of a century in months?
Resolution: 8160
Input: How many meters are there in 890.9825mm?
Resolution: 0.8909825
Input: What is 17/2 of a decade in months?
Resolution: 1020
Input: What is 3/50 of a meter in millimeters?
Resolution: 60
Input: What is 11/2 of a year in months?
Resolution: 66
Input: How many months are there in thirteen fifths of a millennium?
Resolution: 31200
Input: What is 7/2 of a hour in minutes?
Resolution: 210
Input: What is 921092.4 millilitres in litres?
Resolution: 921.0924
Input: What is 1.100851ug in grams?
Resolution: 0.000001100851
Input: What is twenty-three thirds of a day in minutes?
Resolution: 11040
Input: What is 2500.792l in millilitres?
Resolution: 2500792
Input: What is 43/3 of a minute in seconds?
Resolution: 860
Input: Convert 0.4956907ug to grams.
Resolution: 0.0000004956907
Input: How many nanograms are there in five eighths of a microgram?
Resolution: 625
Input: How many nanograms are there in 597.8721kg?
Resolution: 597872100000000
Input: How many months are there in sixty-seven fifths of a decade?
Resolution: 1608
Input: What is 7.777987l in millilitres?
Resolution: 7777.987
Input: How many microseconds are there in one tenth of a second?
Resolut
|
english
|
measurement: time
-----------------
Subquestion: What is 657 minutes before 6:34 AM?
Gives: 7:37 PM
Subquestion: What is 588 minutes before 12:41 AM?
Gives: 2:53 PM
Subquestion: What is 707 minutes before 8:54 PM?
Gives: 9:07 AM
Subquestion: How many minutes are there between 5:42 PM and 4:09 AM?
Gives: 627
Subquestion: What is 490 minutes after 4:52 AM?
Gives: 1:02 PM
Subquestion: How many minutes are there between 8:08 AM and 1:29 PM?
Gives: 321
Subquestion: What is 418 minutes before 1:05 AM?
Gives: 6:07 PM
Subquestion: How many minutes are there between 2:52 PM and 10:39 PM?
Gives: 467
Subquestion: How many minutes are there between 11:52 AM and 1:08 PM?
Gives: 76
Subquestion: How many minutes are there between 6:15 PM and 2:25 AM?
Gives: 490
Subquestion: How many minutes are there between 4:49 PM and 10:44 PM?
Gives: 355
Subquestion: What is 304 minutes after 3:50 PM?
Gives: 8:54 PM
Subquestion: What is 41 minutes after 8:22 PM?
Gives: 9:03 PM
Subquestion: What is 292 minutes before 3:56 AM?
Gives: 11:04 PM
Subquestion: What is 402 minutes before 11:36 PM?
Gives: 4:54 PM
Subquestion: What is 252 minutes after 12:07 PM?
Gives: 4:19 PM
Subquestion: How many minutes are there between 11:10 AM and 1:45 PM?
Gives: 155
Subquestion: How many minutes are there between 10:08 AM and 3:23 PM?
Gives: 315
Subquestion: How many minutes are there between 4:22 PM and 10:48 PM?
Gives: 386
Subquestion: What is 481 minutes after 6:37 PM?
Gives: 2:38 AM
Subquestion: What is 260 minutes after 2:55 AM?
Gives: 7:15 AM
Subquestion: How many minutes are there between 7:59 PM and 6:24 AM?
Gives: 625
Subquestion: How many minutes are there between 11:24 PM and 8:01 AM?
Gives: 517
Subquestion: How many minutes are there between 3:11 AM and 9:42 AM?
Gives: 391
Subquestion: How many minutes are there between 11:06 AM and 7:18 PM?
Gives: 492
Subquestion: How many minutes are there between 2:23 PM and 6:33 PM?
Gives: 250
Subquestion: How many minutes are there between 3:02 PM and 2:18 AM?
Giv
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numbers: gcd
------------
Case: What is the highest common factor of 224556 and 84?
Explanation: 12
Case: Calculate the highest common divisor of 1638 and 416808.
Explanation: 126
Case: Calculate the highest common divisor of 26 and 918515.
Explanation: 13
Case: What is the greatest common divisor of 300423 and 1677063?
Explanation: 717
Case: What is the highest common divisor of 806091 and 66?
Explanation: 33
Case: Calculate the highest common factor of 14987 and 7.
Explanation: 7
Case: What is the greatest common divisor of 465 and 65?
Explanation: 5
Case: What is the highest common factor of 5719 and 133?
Explanation: 133
Case: Calculate the greatest common divisor of 304 and 5054.
Explanation: 38
Case: What is the greatest common divisor of 34573 and 107638321?
Explanation: 3143
Case: What is the greatest common divisor of 42130 and 67430?
Explanation: 110
Case: Calculate the greatest common divisor of 2895 and 313457090.
Explanation: 965
Case: Calculate the highest common factor of 1060 and 69340.
Explanation: 20
Case: Calculate the highest common factor of 20099 and 1592.
Explanation: 199
Case: What is the greatest common divisor of 30 and 5385?
Explanation: 15
Case: What is the greatest common divisor of 56 and 3739498?
Explanation: 14
Case: What is the greatest common divisor of 155 and 279?
Explanation: 31
Case: Calculate the highest common factor of 324248362 and 58.
Explanation: 58
Case: What is the highest common factor of 1 and 4?
Explanation: 1
Case: What is the highest common factor of 2899 and 251511?
Explanation: 13
Case: What is the greatest common divisor of 126 and 173271?
Explanation: 21
Case: Calculate the greatest common divisor of 2487119 and 31150329.
Explanation: 11153
Case: What is the greatest common factor of 14 and 107298107?
Explanation: 7
Case: Calculate the greatest common factor of 36 and 17964.
Explanation: 36
Case: What is the highest common factor of 24582 and 15?
Explanation: 3
Case: Calculate the greatest common divisor of 1026
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numbers: place value
--------------------
Test item: What is the hundred thousands digit of 432118?
Answer: 4
Test item: What is the units digit of 3053?
Answer: 3
Test item: What is the ten millions digit of 203160921?
Answer: 0
Test item: What is the units digit of 1287?
Answer: 7
Test item: What is the millions digit of 1522141807?
Answer: 2
Test item: What is the millions digit of 1312907020?
Answer: 2
Test item: What is the tens digit of 3342?
Answer: 4
Test item: What is the units digit of 21202?
Answer: 2
Test item: What is the tens digit of 12444?
Answer: 4
Test item: What is the hundred thousands digit of 294881273?
Answer: 8
Test item: What is the millions digit of 46849182?
Answer: 6
Test item: What is the units digit of 534?
Answer: 4
Test item: What is the millions digit of 272477375?
Answer: 2
Test item: What is the thousands digit of 16191?
Answer: 6
Test item: What is the units digit of 74718?
Answer: 8
Test item: What is the hundreds digit of 366621?
Answer: 6
Test item: What is the units digit of 79065385?
Answer: 5
Test item: What is the units digit of 12?
Answer: 2
Test item: What is the thousands digit of 1053?
Answer: 1
Test item: What is the tens digit of 133458?
Answer: 5
Test item: What is the ten millions digit of 26061322?
Answer: 2
Test item: What is the thousands digit of 259869894?
Answer: 9
Test item: What is the millions digit of 3886416?
Answer: 3
Test item: What is the hundred millions digit of 2412496727?
Answer: 4
Test item: What is the hundreds digit of 26341?
Answer: 3
Test item: What is the tens digit of 365?
Answer: 6
Test item: What is the hundreds digit of 7713?
Answer: 7
Test item: What is the thousands digit of 15822?
Answer: 5
Test item: What is the thousands digit of 77103?
Answer: 7
Test item: What is the tens digit of 156775?
Answer: 7
Test item: What is the hundred millions digit of 515632376?
Answer: 5
Test item: What is the ten thousands digit of 750425?
Answer: 5
Test item: What is the hundreds digit of 417928177?
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numbers: div remainder
----------------------
Let us solve: Calculate the remainder when 513570 is divided by 12526.
Final Answer: 4
Let us solve: What is the remainder when 321459773 is divided by 6046?
Final Answer: 6045
Let us solve: Calculate the remainder when 19478783 is divided by 671681.
Final Answer: 34
Let us solve: Calculate the remainder when 1440 is divided by 1.
Final Answer: 0
Let us solve: Calculate the remainder when 70369 is divided by 63.
Final Answer: 61
Let us solve: Calculate the remainder when 961 is divided by 217.
Final Answer: 93
Let us solve: What is the remainder when 647 is divided by 127?
Final Answer: 12
Let us solve: What is the remainder when 10266 is divided by 3112?
Final Answer: 930
Let us solve: Calculate the remainder when 44862 is divided by 316.
Final Answer: 306
Let us solve: What is the remainder when 355 is divided by 202?
Final Answer: 153
Let us solve: Calculate the remainder when 28371 is divided by 933.
Final Answer: 381
Let us solve: What is the remainder when 89058 is divided by 2171?
Final Answer: 47
Let us solve: What is the remainder when 39230 is divided by 39157?
Final Answer: 73
Let us solve: Calculate the remainder when 1338721 is divided by 76.
Final Answer: 57
Let us solve: What is the remainder when 2454407 is divided by 594?
Final Answer: 593
Let us solve: What is the remainder when 393 is divided by 98?
Final Answer: 1
Let us solve: What is the remainder when 899 is divided by 175?
Final Answer: 24
Let us solve: What is the remainder when 120 is divided by 11?
Final Answer: 10
Let us solve: Calculate the remainder when 4269599 is divided by 15.
Final Answer: 14
Let us solve: What is the remainder when 5686474 is divided by 3399?
Final Answer: 3346
Let us solve: Calculate the remainder when 245 is divided by 3.
Final Answer: 2
Let us solve: Calculate the remainder when 12497 is divided by 266.
Final Answer: 261
Let us solve: Calculate the remainder when 1078 is divided by 76.
Final Answer: 14
Let us solve:
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english
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arithmetic: nearest integer root
--------------------------------
Q=: What is 198880 to the power of 1/7, to the nearest integer?
Fix: 6
Q=: What is 227233151 to the power of 1/2, to the nearest integer?
Fix: 15074
Q=: What is 988883740 to the power of 1/9, to the nearest integer?
Fix: 10
Q=: What is the square root of 1747591 to the nearest integer?
Fix: 1322
Q=: What is 50291 to the power of 1/2, to the nearest integer?
Fix: 224
Q=: What is the square root of 2027 to the nearest integer?
Fix: 45
Q=: What is the cube root of 1787942 to the nearest integer?
Fix: 121
Q=: What is the square root of 25431448 to the nearest integer?
Fix: 5043
Q=: What is the cube root of 15978403 to the nearest integer?
Fix: 252
Q=: What is the fourth root of 308140 to the nearest integer?
Fix: 24
Q=: What is 97318 to the power of 1/3, to the nearest integer?
Fix: 46
Q=: What is 1765 to the power of 1/9, to the nearest integer?
Fix: 2
Q=: What is the cube root of 982763926 to the nearest integer?
Fix: 994
Q=: What is the seventh root of 5407 to the nearest integer?
Fix: 3
Q=: What is 2773352 to the power of 1/4, to the nearest integer?
Fix: 41
Q=: What is 2433 to the power of 1/10, to the nearest integer?
Fix: 2
Q=: What is 1217280 to the power of 1/2, to the nearest integer?
Fix: 1103
Q=: What is 1683289 to the power of 1/7, to the nearest integer?
Fix: 8
Q=: What is the tenth root of 198 to the nearest integer?
Fix: 2
Q=: What is 252993 to the power of 1/2, to the nearest integer?
Fix: 503
Q=: What is the square root of 13195 to the nearest integer?
Fix: 115
Q=: What is the cube root of 773231 to the nearest integer?
Fix: 92
Q=: What is the cube root of 5973676 to the nearest integer?
Fix: 181
Q=: What is the square root of 39764898 to the nearest integer?
Fix: 6306
Q=: What is 50909047 to the power of 1/2, to the nearest integer?
Fix: 7135
Q=: What is the cube root of 180467765 to the nearest integer?
Fix: 565
Q=: What is 2435723 to the power of 1/3, to the nearest integer?
Fix: 135
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measurement: conversion
-----------------------
Let: Convert 34.70422m to centimeters.
Eval: 3470.422
Let: What is 1/5 of a century in months?
Eval: 240
Let: What is twenty-five quarters of a meter in centimeters?
Eval: 625
Let: What is fifty-seven halves of a litre in millilitres?
Eval: 28500
Let: How many decades are there in 0.449971 years?
Eval: 0.0449971
Let: How many millilitres are there in 31/5 of a litre?
Eval: 6200
Let: How many decades are there in 909598.1 millennia?
Eval: 90959810
Let: How many years are there in 0.529128 centuries?
Eval: 52.9128
Let: What is 5/6 of a hour in seconds?
Eval: 3000
Let: What is 77/2 of a millimeter in micrometers?
Eval: 38500
Let: How many millilitres are there in 6/25 of a litre?
Eval: 240
Let: What is three tenths of a tonne in kilograms?
Eval: 300
Let: How many minutes are there in 2.5191606 milliseconds?
Eval: 0.00004198601
Let: How many millilitres are there in 8.58516 litres?
Eval: 8585.16
Let: Convert 3879.583 kilometers to centimeters.
Eval: 387958300
Let: How many months are there in 3257.418 years?
Eval: 39089.016
Let: What is 7/8 of a kilogram in grams?
Eval: 875
Let: Convert 421.934mg to tonnes.
Eval: 0.000000421934
Let: What is 8747.255 weeks in nanoseconds?
Eval: 5290339824000000000
Let: What is six fifths of a century in months?
Eval: 1440
Let: What is seventeen halves of a litre in millilitres?
Eval: 8500
Let: What is 3/10 of a kilogram in grams?
Eval: 300
Let: What is 24383.81 litres in millilitres?
Eval: 24383810
Let: What is 74.690019ns in days?
Eval: 0.0000000000008644678125
Let: What is one quarter of a year in months?
Eval: 3
Let: How many millilitres are there in 76/5 of a litre?
Eval: 15200
Let: How many millilitres are there in 2/125 of a litre?
Eval: 16
Let: Convert 857266.2 weeks to nanoseconds.
Eval: 518474597760000000000
Let: What is 4881.91284 minutes in weeks?
Eval: 0.48431675
Let: What is seventy-seven fifths of a century in months?
Eval: 18480
Let: How many milliseconds are there in 1496.43
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probability: swr p sequence
---------------------------
Subquestion: Three letters picked without replacement from {s: 1, t: 3, a: 4}. What is prob of sequence tsa?
Solution: 1/28
Subquestion: Calculate prob of sequence ggpp when four letters picked without replacement from {g: 13, p: 6}.
Solution: 65/1292
Subquestion: Two letters picked without replacement from {d: 2, b: 2, l: 4, q: 1}. Give prob of sequence db.
Solution: 1/18
Subquestion: Calculate prob of sequence mzom when four letters picked without replacement from {m: 3, u: 1, c: 3, z: 9, x: 2, o: 1}.
Solution: 3/5168
Subquestion: Two letters picked without replacement from ffcffffffyfzfzdyfffz. Give prob of sequence yy.
Solution: 1/190
Subquestion: Calculate prob of sequence yye when three letters picked without replacement from {a: 1, y: 2, m: 1, b: 2, e: 1, r: 1}.
Solution: 1/168
Subquestion: Calculate prob of sequence kxl when three letters picked without replacement from {x: 1, l: 2, k: 1}.
Solution: 1/12
Subquestion: What is prob of sequence zyt when three letters picked without replacement from ztyzcztzyzzyc?
Solution: 3/143
Subquestion: Three letters picked without replacement from {i: 1, w: 2, x: 3, a: 1}. Give prob of sequence waw.
Solution: 1/105
Subquestion: What is prob of sequence aa when two letters picked without replacement from yqyayaaqaqrqjjya?
Solution: 1/12
Subquestion: Two letters picked without replacement from {y: 5, l: 3, g: 3, w: 2, q: 3}. Give prob of sequence qg.
Solution: 3/80
Subquestion: What is prob of sequence zf when two letters picked without replacement from mrmrzmzzrrmmfmz?
Solution: 2/105
Subquestion: Three letters picked without replacement from vlljvrjvlljkrrljkj. Give prob of sequence kvj.
Solution: 5/816
Subquestion: What is prob of sequence dx when two letters picked without replacement from fdxfd?
Solution: 1/10
Subquestion: What is prob of sequence iil when three letters picked without replacement from lwiwiikjiiijji?
Solution: 1/52
Subquestion: Two letters picked
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english
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arithmetic: nearest integer root
--------------------------------
Inquiry: What is 769294740 to the power of 1/2, to the nearest integer?
Solution: 27736
Inquiry: What is the cube root of 57854913 to the nearest integer?
Solution: 387
Inquiry: What is 912140 to the power of 1/2, to the nearest integer?
Solution: 955
Inquiry: What is 2713 to the power of 1/3, to the nearest integer?
Solution: 14
Inquiry: What is 3025796 to the power of 1/2, to the nearest integer?
Solution: 1739
Inquiry: What is 356215353 to the power of 1/3, to the nearest integer?
Solution: 709
Inquiry: What is the third root of 14754347 to the nearest integer?
Solution: 245
Inquiry: What is 68919 to the power of 1/2, to the nearest integer?
Solution: 263
Inquiry: What is 55899955 to the power of 1/4, to the nearest integer?
Solution: 86
Inquiry: What is the fifth root of 58291 to the nearest integer?
Solution: 9
Inquiry: What is the cube root of 110378414 to the nearest integer?
Solution: 480
Inquiry: What is the cube root of 1587 to the nearest integer?
Solution: 12
Inquiry: What is 17946 to the power of 1/2, to the nearest integer?
Solution: 134
Inquiry: What is the seventh root of 36297136 to the nearest integer?
Solution: 12
Inquiry: What is the eighth root of 814551645 to the nearest integer?
Solution: 13
Inquiry: What is 302960754 to the power of 1/4, to the nearest integer?
Solution: 132
Inquiry: What is the sixth root of 12395321 to the nearest integer?
Solution: 15
Inquiry: What is 31409992 to the power of 1/9, to the nearest integer?
Solution: 7
Inquiry: What is 1916671186 to the power of 1/2, to the nearest integer?
Solution: 43780
Inquiry: What is the square root of 3289576 to the nearest integer?
Solution: 1814
Inquiry: What is 51795070 to the power of 1/3, to the nearest integer?
Solution: 373
Inquiry: What is 526028 to the power of 1/8, to the nearest integer?
Solution: 5
Inquiry: What is the ninth root of 3162 to the nearest integer?
Solution: 2
Inquiry: What is the third root of 1
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english
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arithmetic: nearest integer root
--------------------------------
Example: What is the cube root of 151051 to the nearest integer?
Finding: 53
Example: What is 2795566784 to the power of 1/3, to the nearest integer?
Finding: 1409
Example: What is the third root of 40477 to the nearest integer?
Finding: 34
Example: What is the cube root of 715767 to the nearest integer?
Finding: 89
Example: What is 1632153 to the power of 1/2, to the nearest integer?
Finding: 1278
Example: What is the third root of 25308546 to the nearest integer?
Finding: 294
Example: What is the square root of 3007046 to the nearest integer?
Finding: 1734
Example: What is the cube root of 2006 to the nearest integer?
Finding: 13
Example: What is 61492328 to the power of 1/2, to the nearest integer?
Finding: 7842
Example: What is 61544266 to the power of 1/7, to the nearest integer?
Finding: 13
Example: What is the square root of 25702 to the nearest integer?
Finding: 160
Example: What is the cube root of 1038 to the nearest integer?
Finding: 10
Example: What is 2380800 to the power of 1/2, to the nearest integer?
Finding: 1543
Example: What is the fourth root of 11160287 to the nearest integer?
Finding: 58
Example: What is the third root of 3164390469 to the nearest integer?
Finding: 1468
Example: What is the third root of 1038822649 to the nearest integer?
Finding: 1013
Example: What is 11737642 to the power of 1/2, to the nearest integer?
Finding: 3426
Example: What is the cube root of 3374323 to the nearest integer?
Finding: 150
Example: What is 6574766 to the power of 1/2, to the nearest integer?
Finding: 2564
Example: What is 2372497755 to the power of 1/9, to the nearest integer?
Finding: 11
Example: What is 1926 to the power of 1/3, to the nearest integer?
Finding: 12
Example: What is the square root of 641637 to the nearest integer?
Finding: 801
Example: What is the sixth root of 73198849 to the nearest integer?
Finding: 20
Example: What is 44246399 to the power of 1/2, to the nearest integ
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english
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numbers: div remainder
----------------------
Conundrum: What is the remainder when 3323181 is divided by 1047?
Conclusion: 3
Conundrum: What is the remainder when 2357366 is divided by 3362?
Conclusion: 604
Conundrum: What is the remainder when 31318 is divided by 15514?
Conclusion: 290
Conundrum: Calculate the remainder when 809 is divided by 763.
Conclusion: 46
Conundrum: What is the remainder when 7000 is divided by 542?
Conclusion: 496
Conundrum: What is the remainder when 6749103 is divided by 987?
Conclusion: 984
Conundrum: Calculate the remainder when 45849373 is divided by 7641560.
Conclusion: 13
Conundrum: What is the remainder when 21915 is divided by 21884?
Conclusion: 31
Conundrum: Calculate the remainder when 6594952 is divided by 120.
Conclusion: 112
Conundrum: Calculate the remainder when 327 is divided by 68.
Conclusion: 55
Conundrum: What is the remainder when 523964 is divided by 74722?
Conclusion: 910
Conundrum: Calculate the remainder when 12227998 is divided by 150.
Conclusion: 148
Conundrum: What is the remainder when 566 is divided by 21?
Conclusion: 20
Conundrum: What is the remainder when 269338 is divided by 47?
Conclusion: 28
Conundrum: Calculate the remainder when 43975214 is divided by 3.
Conclusion: 2
Conundrum: Calculate the remainder when 11461185 is divided by 3820393.
Conclusion: 6
Conundrum: What is the remainder when 10782 is divided by 16?
Conclusion: 14
Conundrum: What is the remainder when 4886 is divided by 485?
Conclusion: 36
Conundrum: What is the remainder when 342788 is divided by 171348?
Conclusion: 92
Conundrum: What is the remainder when 290 is divided by 277?
Conclusion: 13
Conundrum: What is the remainder when 139081 is divided by 4636?
Conclusion: 1
Conundrum: Calculate the remainder when 160688 is divided by 1702.
Conclusion: 700
Conundrum: Calculate the remainder when 328 is divided by 16.
Conclusion: 8
Conundrum: What is the remainder when 668 is divided by 229?
Conclusion: 210
Conundrum: Calculate the remainder
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english
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probability: swr p sequence
---------------------------
Input: Two letters picked without replacement from {t: 5, r: 7}. What is prob of sequence tr?
Yields: 35/132
Input: Two letters picked without replacement from evmvvexvxevv. What is prob of sequence em?
Yields: 1/44
Input: What is prob of sequence dddd when four letters picked without replacement from {c: 2, d: 11}?
Yields: 6/13
Input: Two letters picked without replacement from {w: 2, g: 1, t: 5, e: 1, z: 11}. What is prob of sequence wz?
Yields: 11/190
Input: Three letters picked without replacement from {e: 2, z: 2, r: 5}. Give prob of sequence rzr.
Yields: 5/63
Input: Two letters picked without replacement from ddddavddadvdddewddfd. Give prob of sequence ef.
Yields: 1/380
Input: Four letters picked without replacement from {e: 2, h: 2, n: 1, x: 1}. Give prob of sequence henx.
Yields: 1/90
Input: What is prob of sequence yyn when three letters picked without replacement from yyny?
Yields: 1/4
Input: What is prob of sequence www when three letters picked without replacement from qqwqwwqpwqqqqwp?
Yields: 2/91
Input: Two letters picked without replacement from {h: 10, l: 2}. What is prob of sequence lh?
Yields: 5/33
Input: Three letters picked without replacement from {t: 3}. What is prob of sequence ttt?
Yields: 1
Input: Two letters picked without replacement from sgggggggssgg. What is prob of sequence gg?
Yields: 6/11
Input: What is prob of sequence bebd when four letters picked without replacement from bbsekdkbbssbkbbbhb?
Yields: 1/1020
Input: Calculate prob of sequence qm when two letters picked without replacement from mqmqqjjfmqqqmmqq.
Yields: 1/6
Input: Four letters picked without replacement from {l: 5, z: 2, y: 7}. What is prob of sequence yyzl?
Yields: 5/286
Input: Calculate prob of sequence bpr when three letters picked without replacement from {b: 1, s: 1, r: 2, p: 1}.
Yields: 1/30
Input: Two letters picked without replacement from rrprhararrrorff. What is prob of sequence ho?
Yields: 1/210
Input: W
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english
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numbers: place value
--------------------
Query: What is the units digit of 303360957?
Outcome: 7
Query: What is the hundreds digit of 1033043312?
Outcome: 3
Query: What is the ten millions digit of 309517141?
Outcome: 0
Query: What is the hundred thousands digit of 3046405?
Outcome: 0
Query: What is the hundreds digit of 3076264?
Outcome: 2
Query: What is the tens digit of 766747220?
Outcome: 2
Query: What is the tens digit of 127171?
Outcome: 7
Query: What is the ten millions digit of 118673338?
Outcome: 1
Query: What is the thousands digit of 8900093?
Outcome: 0
Query: What is the units digit of 23464132?
Outcome: 2
Query: What is the tens digit of 1424119?
Outcome: 1
Query: What is the thousands digit of 506293736?
Outcome: 3
Query: What is the tens digit of 1511059?
Outcome: 5
Query: What is the hundreds digit of 9956343?
Outcome: 3
Query: What is the hundreds digit of 4382?
Outcome: 3
Query: What is the units digit of 1317?
Outcome: 7
Query: What is the ten thousands digit of 49895568?
Outcome: 9
Query: What is the millions digit of 1150194440?
Outcome: 0
Query: What is the hundreds digit of 163269395?
Outcome: 3
Query: What is the units digit of 42345?
Outcome: 5
Query: What is the thousands digit of 4292706?
Outcome: 2
Query: What is the millions digit of 241080630?
Outcome: 1
Query: What is the hundreds digit of 20289727?
Outcome: 7
Query: What is the tens digit of 2687843?
Outcome: 4
Query: What is the ten thousands digit of 24459?
Outcome: 2
Query: What is the thousands digit of 2375?
Outcome: 2
Query: What is the millions digit of 237013250?
Outcome: 7
Query: What is the units digit of 79559?
Outcome: 9
Query: What is the hundreds digit of 764502?
Outcome: 5
Query: What is the ten millions digit of 291132689?
Outcome: 9
Query: What is the tens digit of 57051922?
Outcome: 2
Query: What is the thousands digit of 2296224?
Outcome: 6
Query: What is the hundred thousands digit of 2985460?
Outcome: 9
Query: What is the ten millions digit of 1606929445?
Outcome
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english
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probability: swr p level set
----------------------------
Task: Calculate prob of picking 3 x and 1 g when four letters picked without replacement from gggxgxggxggggxxg.
Answer: 11/182
Task: Three letters picked without replacement from kkiikknikik. Give prob of picking 1 i, 1 k, and 1 n.
Answer: 8/55
Task: Three letters picked without replacement from {u: 7, a: 9}. What is prob of picking 2 u and 1 a?
Answer: 27/80
Task: Calculate prob of picking 1 c, 1 i, 1 j, and 1 l when four letters picked without replacement from {l: 1, f: 1, q: 1, c: 2, i: 1, j: 1}.
Answer: 2/35
Task: Three letters picked without replacement from {d: 11, x: 1, r: 1}. What is prob of picking 1 r, 1 x, and 1 d?
Answer: 1/26
Task: Two letters picked without replacement from {s: 1, a: 3}. What is prob of picking 2 a?
Answer: 1/2
Task: Two letters picked without replacement from {r: 1, e: 2, j: 4, k: 1}. Give prob of picking 1 k and 1 j.
Answer: 1/7
Task: Four letters picked without replacement from vqvvtnqvtqvttv. Give prob of picking 2 q and 2 v.
Answer: 45/1001
Task: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from ejkjk.
Answer: 2/5
Task: Four letters picked without replacement from wcjjjmmwcwww. What is prob of picking 2 j, 1 m, and 1 c?
Answer: 4/165
Task: Three letters picked without replacement from xaaaaxaaxxa. What is prob of picking 3 a?
Answer: 7/33
Task: Calculate prob of picking 1 f and 3 a when four letters picked without replacement from afaaffaaafffafff.
Answer: 9/52
Task: Four letters picked without replacement from {z: 2, d: 3, f: 3}. Give prob of picking 2 f and 2 d.
Answer: 9/70
Task: Three letters picked without replacement from {j: 1, g: 8, f: 8, s: 1, h: 2}. What is prob of picking 2 f and 1 h?
Answer: 14/285
Task: What is prob of picking 2 c when two letters picked without replacement from hhchhchhhhh?
Answer: 1/55
Task: Two letters picked without replacement from yepyyazypyzpyyyuyy. Give prob of picking 1 z and 1 a.
Answer: 2/153
Task
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english
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numbers: is prime
-----------------
Problem: Is 9967 prime?
Interpretation: True
Problem: Is 16381 a prime number?
Interpretation: True
Problem: Is 49390488529 prime?
Interpretation: True
Problem: Is 24890745989 prime?
Interpretation: True
Problem: Is 210674899 a prime number?
Interpretation: False
Problem: Is 532679519 composite?
Interpretation: False
Problem: Is 80711 a prime number?
Interpretation: False
Problem: Is 64217 prime?
Interpretation: True
Problem: Is 45703 composite?
Interpretation: True
Problem: Is 90826831129 a prime number?
Interpretation: False
Problem: Is 373039 a prime number?
Interpretation: False
Problem: Is 11655325523 a prime number?
Interpretation: True
Problem: Is 14869789 composite?
Interpretation: True
Problem: Is 4237419299 prime?
Interpretation: True
Problem: Is 2228417 composite?
Interpretation: False
Problem: Is 33401299 a prime number?
Interpretation: True
Problem: Is 429826 composite?
Interpretation: True
Problem: Is 1862415389 a composite number?
Interpretation: True
Problem: Is 2554499 composite?
Interpretation: True
Problem: Is 178949 composite?
Interpretation: True
Problem: Is 7103 a composite number?
Interpretation: False
Problem: Is 1993263 composite?
Interpretation: True
Problem: Is 36813959543 prime?
Interpretation: True
Problem: Is 146082007 composite?
Interpretation: True
Problem: Is 79494979 a composite number?
Interpretation: True
Problem: Is 490420163 a prime number?
Interpretation: False
Problem: Is 16807103 a composite number?
Interpretation: False
Problem: Is 249508417 a prime number?
Interpretation: False
Problem: Is 16978274759 a composite number?
Interpretation: False
Problem: Is 5825921 prime?
Interpretation: False
Problem: Is 1426517 a composite number?
Interpretation: True
Problem: Is 159801 a composite number?
Interpretation: True
Problem: Is 1536319 prime?
Interpretation: False
Problem: Is 2165981479 prime?
Interpretation: True
Problem: Is 29428897 composite?
Interpretation: True
Problem: Is 699076891 a prime
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english
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measurement: time
-----------------
Scenario: How many minutes are there between 3:25 AM and 5:03 AM?
Eval: 98
Scenario: How many minutes are there between 5:29 AM and 3:28 PM?
Eval: 599
Scenario: How many minutes are there between 7:00 AM and 8:51 AM?
Eval: 111
Scenario: How many minutes are there between 5:21 PM and 7:46 PM?
Eval: 145
Scenario: What is 387 minutes after 6:49 PM?
Eval: 1:16 AM
Scenario: What is 697 minutes before 9:10 AM?
Eval: 9:33 PM
Scenario: What is 12 minutes after 7:58 AM?
Eval: 8:10 AM
Scenario: How many minutes are there between 3:53 PM and 11:17 PM?
Eval: 444
Scenario: What is 558 minutes after 8:10 AM?
Eval: 5:28 PM
Scenario: What is 418 minutes before 7:28 AM?
Eval: 12:30 AM
Scenario: How many minutes are there between 7:32 AM and 10:27 AM?
Eval: 175
Scenario: How many minutes are there between 10:33 PM and 7:39 AM?
Eval: 546
Scenario: What is 328 minutes after 5:00 AM?
Eval: 10:28 AM
Scenario: What is 204 minutes after 7:39 PM?
Eval: 11:03 PM
Scenario: What is 236 minutes before 6:18 PM?
Eval: 2:22 PM
Scenario: How many minutes are there between 2:16 PM and 1:03 AM?
Eval: 647
Scenario: What is 530 minutes before 9:42 AM?
Eval: 12:52 AM
Scenario: How many minutes are there between 9:16 AM and 7:34 PM?
Eval: 618
Scenario: What is 663 minutes after 3:58 AM?
Eval: 3:01 PM
Scenario: What is 4 minutes after 3:02 AM?
Eval: 3:06 AM
Scenario: What is 557 minutes after 11:35 PM?
Eval: 8:52 AM
Scenario: How many minutes are there between 12:26 PM and 10:22 PM?
Eval: 596
Scenario: What is 424 minutes after 4:45 AM?
Eval: 11:49 AM
Scenario: How many minutes are there between 9:14 AM and 5:04 PM?
Eval: 470
Scenario: What is 38 minutes after 5:46 AM?
Eval: 6:24 AM
Scenario: What is 482 minutes after 12:24 PM?
Eval: 8:26 PM
Scenario: What is 472 minutes after 6:06 PM?
Eval: 1:58 AM
Scenario: How many minutes are there between 12:25 PM and 11:09 PM?
Eval: 644
Scenario: What is 107 minutes before 4:25 PM?
Eval: 2:38 PM
Scenario: How many minutes are ther
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english
|
numbers: div remainder
----------------------
Challenge: What is the remainder when 31076 is divided by 80?
Hence: 36
Challenge: Calculate the remainder when 3863996 is divided by 250.
Hence: 246
Challenge: What is the remainder when 3096440 is divided by 2074?
Hence: 2032
Challenge: Calculate the remainder when 55667160 is divided by 11433.
Hence: 11316
Challenge: What is the remainder when 574309 is divided by 22?
Hence: 21
Challenge: Calculate the remainder when 17795988 is divided by 6.
Hence: 0
Challenge: What is the remainder when 68 is divided by 36?
Hence: 32
Challenge: What is the remainder when 720 is divided by 183?
Hence: 171
Challenge: What is the remainder when 1459075 is divided by 460?
Hence: 415
Challenge: Calculate the remainder when 7149 is divided by 35.
Hence: 9
Challenge: Calculate the remainder when 2753 is divided by 549.
Hence: 8
Challenge: What is the remainder when 5615784 is divided by 210?
Hence: 174
Challenge: What is the remainder when 57857 is divided by 76?
Hence: 21
Challenge: What is the remainder when 462 is divided by 72?
Hence: 30
Challenge: What is the remainder when 96 is divided by 43?
Hence: 10
Challenge: What is the remainder when 16673 is divided by 256?
Hence: 33
Challenge: Calculate the remainder when 10097 is divided by 1436.
Hence: 45
Challenge: Calculate the remainder when 130991 is divided by 186.
Hence: 47
Challenge: Calculate the remainder when 2016 is divided by 45.
Hence: 36
Challenge: Calculate the remainder when 113 is divided by 59.
Hence: 54
Challenge: What is the remainder when 681999 is divided by 146?
Hence: 33
Challenge: Calculate the remainder when 5845670 is divided by 1948556.
Hence: 2
Challenge: What is the remainder when 416 is divided by 104?
Hence: 0
Challenge: What is the remainder when 1109567 is divided by 2912?
Hence: 95
Challenge: Calculate the remainder when 2962822 is divided by 34.
Hence: 28
Challenge: What is the remainder when 187 is divided by 27?
Hence: 25
Challenge: Calculate the remai
|
english
|
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