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numbers: place value
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Scenario: What is the millions digit of 2364349?
Therefore: 2
Scenario: What is the ten thousands digit of 38569?
Therefore: 3
Scenario: What is the thousands digit of 23448927?
Therefore: 8
Scenario: What is the hundreds digit of 4050803?
Therefore: 8
Scenario: What is the units digit of 4668129?
Therefore: 9
Scenario: What is the ten millions digit of 572616249?
Therefore: 7
Scenario: What is the hundred thousands digit of 4668569702?
Therefore: 5
Scenario: What is the hundred thousands digit of 16348440?
Therefore: 3
Scenario: What is the hundreds digit of 1647903?
Therefore: 9
Scenario: What is the tens digit of 3254156706?
Therefore: 0
Scenario: What is the units digit of 1801201?
Therefore: 1
Scenario: What is the units digit of 7268162?
Therefore: 2
Scenario: What is the thousands digit of 301353516?
Therefore: 3
Scenario: What is the units digit of 176?
Therefore: 6
Scenario: What is the hundreds digit of 794?
Therefore: 7
Scenario: What is the units digit of 1370234?
Therefore: 4
Scenario: What is the tens digit of 930968344?
Therefore: 4
Scenario: What is the units digit of 107809?
Therefore: 9
Scenario: What is the units digit of 218?
Therefore: 8
Scenario: What is the ten thousands digit of 19079?
Therefore: 1
Scenario: What is the hundreds digit of 2865?
Therefore: 8
Scenario: What is the tens digit of 1041?
Therefore: 4
Scenario: What is the thousands digit of 138339?
Therefore: 8
Scenario: What is the ten millions digit of 163734356?
Therefore: 6
Scenario: What is the ten thousands digit of 865586?
Therefore: 6
Scenario: What is the tens digit of 2508778022?
Therefore: 2
Scenario: What is the thousands digit of 679394?
Therefore: 9
Scenario: What is the hundred thousands digit of 2207781460?
Therefore: 7
Scenario: What is the thousands digit of 1931?
Therefore: 1
Scenario: What is the units digit of 90181940?
Therefore: 0
Scenario: What is the hundreds digit of 18870833?
Therefore: 8
Scenario: What is the tens
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probability: swr p sequence
---------------------------
Step: Three letters picked without replacement from {d: 2, a: 1, c: 2}. What is prob of sequence adc?
Answer: 1/15
Step: Calculate prob of sequence qffs when four letters picked without replacement from qssqqqfsfqsq.
Answer: 2/495
Step: Four letters picked without replacement from nyyyyysdlylls. Give prob of sequence dyyl.
Answer: 3/572
Step: Calculate prob of sequence iiii when four letters picked without replacement from iiiiciiiiic.
Answer: 21/55
Step: Two letters picked without replacement from {l: 1, q: 1, k: 5, s: 3, e: 1, z: 4}. Give prob of sequence kz.
Answer: 2/21
Step: Calculate prob of sequence oz when two letters picked without replacement from okpzzdpdozdokp.
Answer: 9/182
Step: Three letters picked without replacement from jkkjkkkvjkvjj. Give prob of sequence kjj.
Answer: 10/143
Step: Two letters picked without replacement from {z: 3, u: 5, p: 2}. What is prob of sequence zu?
Answer: 1/6
Step: Four letters picked without replacement from {a: 11, x: 5}. What is prob of sequence xxax?
Answer: 11/728
Step: Three letters picked without replacement from {k: 1, t: 11, w: 2}. Give prob of sequence tkt.
Answer: 55/1092
Step: Three letters picked without replacement from {o: 1, e: 2, w: 1}. What is prob of sequence weo?
Answer: 1/12
Step: What is prob of sequence pkk when three letters picked without replacement from {h: 3, p: 10, k: 2}?
Answer: 2/273
Step: What is prob of sequence ycc when three letters picked without replacement from cycbybyccyyycbbyybbb?
Answer: 4/171
Step: Calculate prob of sequence jeu when three letters picked without replacement from {h: 1, j: 1, u: 1, e: 1, o: 3}.
Answer: 1/210
Step: Calculate prob of sequence pluu when four letters picked without replacement from lppuuelpuluplpu.
Answer: 10/819
Step: Three letters picked without replacement from {z: 3, n: 5, j: 6, q: 3}. What is prob of sequence qzq?
Answer: 3/680
Step: Calculate prob of sequence yz when two letters picked withou
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probability: swr p level set
----------------------------
What if: Two letters picked without replacement from {k: 6, y: 4, u: 1, t: 5}. What is prob of picking 1 k and 1 u?
Derivation: 1/20
What if: What is prob of picking 1 v and 1 d when two letters picked without replacement from {v: 1, q: 1, u: 3, d: 4, t: 4}?
Derivation: 2/39
What if: What is prob of picking 1 r, 2 q, and 1 p when four letters picked without replacement from pprppaqarqqqqqqparqq?
Derivation: 36/323
What if: What is prob of picking 2 i and 2 b when four letters picked without replacement from {i: 2, f: 2, e: 1, b: 4}?
Derivation: 1/21
What if: What is prob of picking 2 t when two letters picked without replacement from iistiitit?
Derivation: 1/12
What if: Three letters picked without replacement from ajjjajaajaajj. What is prob of picking 3 j?
Derivation: 35/286
What if: Two letters picked without replacement from {v: 7, q: 6}. Give prob of picking 1 v and 1 q.
Derivation: 7/13
What if: Two letters picked without replacement from {e: 3, w: 3, r: 11, n: 2}. What is prob of picking 2 w?
Derivation: 1/57
What if: Four letters picked without replacement from {j: 2, y: 3, k: 6, g: 5, u: 2}. What is prob of picking 2 g, 1 j, and 1 k?
Derivation: 2/51
What if: Calculate prob of picking 2 n when two letters picked without replacement from nnnnn.
Derivation: 1
What if: Two letters picked without replacement from muua. What is prob of picking 1 m and 1 u?
Derivation: 1/3
What if: Four letters picked without replacement from rzrozrokqkkzozqo. What is prob of picking 2 k and 2 r?
Derivation: 9/1820
What if: What is prob of picking 1 n and 1 u when two letters picked without replacement from nnvvvnnvvbnunn?
Derivation: 1/13
What if: What is prob of picking 1 h, 1 k, and 1 e when three letters picked without replacement from kkhokehkkhre?
Derivation: 3/22
What if: What is prob of picking 1 i and 1 d when two letters picked without replacement from {d: 10, i: 10}?
Derivation: 10/19
What if: Three letters pick
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numbers: gcd
------------
Q/A: What is the greatest common divisor of 933420 and 195?
Calculation: 15
Q/A: What is the highest common factor of 9 and 144?
Calculation: 9
Q/A: What is the highest common divisor of 704 and 1276?
Calculation: 44
Q/A: Calculate the greatest common divisor of 1 and 27.
Calculation: 1
Q/A: What is the greatest common divisor of 232493 and 116?
Calculation: 29
Q/A: What is the greatest common divisor of 54 and 69?
Calculation: 3
Q/A: Calculate the highest common divisor of 283 and 814518431.
Calculation: 283
Q/A: Calculate the highest common divisor of 6 and 194.
Calculation: 2
Q/A: What is the greatest common factor of 700 and 550?
Calculation: 50
Q/A: What is the greatest common factor of 4752 and 36204432?
Calculation: 528
Q/A: Calculate the greatest common divisor of 81830 and 118.
Calculation: 2
Q/A: Calculate the highest common divisor of 2366 and 98.
Calculation: 14
Q/A: What is the highest common divisor of 560 and 7588?
Calculation: 28
Q/A: What is the greatest common factor of 48 and 48?
Calculation: 48
Q/A: What is the greatest common divisor of 108 and 120?
Calculation: 12
Q/A: What is the highest common divisor of 68 and 170?
Calculation: 34
Q/A: What is the highest common factor of 104 and 338?
Calculation: 26
Q/A: What is the highest common divisor of 160023 and 738?
Calculation: 123
Q/A: What is the highest common factor of 25139 and 5009219?
Calculation: 1093
Q/A: What is the greatest common factor of 5367973 and 536?
Calculation: 67
Q/A: Calculate the greatest common factor of 335 and 35045824.
Calculation: 67
Q/A: What is the greatest common divisor of 22 and 110?
Calculation: 22
Q/A: What is the greatest common factor of 105 and 6?
Calculation: 3
Q/A: What is the highest common divisor of 23560448 and 256?
Calculation: 256
Q/A: What is the highest common divisor of 3161 and 545?
Calculation: 109
Q/A: What is the highest common divisor of 2419192 and 8?
Calculation: 8
Q/A: What is the greatest common factor of 3285 and 1
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measurement: time
-----------------
Exercise: What is 525 minutes after 10:29 PM?
Resolution: 7:14 AM
Exercise: What is 49 minutes after 4:05 PM?
Resolution: 4:54 PM
Exercise: What is 14 minutes after 7:50 PM?
Resolution: 8:04 PM
Exercise: How many minutes are there between 12:31 AM and 8:44 AM?
Resolution: 493
Exercise: How many minutes are there between 9:54 PM and 5:22 AM?
Resolution: 448
Exercise: What is 715 minutes after 3:19 AM?
Resolution: 3:14 PM
Exercise: How many minutes are there between 4:20 PM and 3:24 AM?
Resolution: 664
Exercise: How many minutes are there between 8:02 PM and 7:51 AM?
Resolution: 709
Exercise: How many minutes are there between 1:38 PM and 12:05 AM?
Resolution: 627
Exercise: How many minutes are there between 11:28 AM and 7:28 PM?
Resolution: 480
Exercise: What is 685 minutes after 7:17 PM?
Resolution: 6:42 AM
Exercise: How many minutes are there between 10:18 AM and 7:51 PM?
Resolution: 573
Exercise: How many minutes are there between 5:09 AM and 2:53 PM?
Resolution: 584
Exercise: How many minutes are there between 11:52 PM and 8:05 AM?
Resolution: 493
Exercise: How many minutes are there between 8:49 AM and 12:03 PM?
Resolution: 194
Exercise: How many minutes are there between 3:36 PM and 4:28 PM?
Resolution: 52
Exercise: How many minutes are there between 7:46 AM and 6:13 PM?
Resolution: 627
Exercise: What is 126 minutes after 11:07 PM?
Resolution: 1:13 AM
Exercise: What is 266 minutes after 10:00 PM?
Resolution: 2:26 AM
Exercise: How many minutes are there between 1:24 PM and 11:05 PM?
Resolution: 581
Exercise: What is 467 minutes before 3:36 AM?
Resolution: 7:49 PM
Exercise: What is 181 minutes after 12:10 AM?
Resolution: 3:11 AM
Exercise: What is 295 minutes after 11:06 PM?
Resolution: 4:01 AM
Exercise: How many minutes are there between 12:19 PM and 8:20 PM?
Resolution: 481
Exercise: What is 630 minutes before 8:11 AM?
Resolution: 9:41 PM
Exercise: What is 387 minutes after 10:20 AM?
Resolution: 4:47 PM
Exercise: How many minu
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numbers: is prime
-----------------
Exercise: Is 9719 a composite number?
Eval: False
Exercise: Is 851406013 a prime number?
Eval: True
Exercise: Is 709035781 a prime number?
Eval: True
Exercise: Is 147165961 prime?
Eval: True
Exercise: Is 16406711 a composite number?
Eval: False
Exercise: Is 1732823 a composite number?
Eval: True
Exercise: Is 3649307 a prime number?
Eval: True
Exercise: Is 76753904041 prime?
Eval: True
Exercise: Is 18595121 a prime number?
Eval: False
Exercise: Is 2020037 a prime number?
Eval: True
Exercise: Is 15006071 composite?
Eval: False
Exercise: Is 5184103 prime?
Eval: True
Exercise: Is 14860159 composite?
Eval: True
Exercise: Is 6657437 a prime number?
Eval: True
Exercise: Is 2019461 a prime number?
Eval: True
Exercise: Is 3474656747 a composite number?
Eval: False
Exercise: Is 249500549 a composite number?
Eval: False
Exercise: Is 85081 a prime number?
Eval: True
Exercise: Is 493537 composite?
Eval: True
Exercise: Is 30485243 a composite number?
Eval: True
Exercise: Is 3742565 composite?
Eval: True
Exercise: Is 348709 composite?
Eval: False
Exercise: Is 13058597 prime?
Eval: True
Exercise: Is 498989 prime?
Eval: True
Exercise: Is 2237 prime?
Eval: True
Exercise: Is 40387 prime?
Eval: True
Exercise: Is 767218091 composite?
Eval: False
Exercise: Is 713599477 a prime number?
Eval: True
Exercise: Is 1021648441 a composite number?
Eval: True
Exercise: Is 7403 a prime number?
Eval: False
Exercise: Is 3827683833 composite?
Eval: True
Exercise: Is 2242417101 prime?
Eval: False
Exercise: Is 76461349 composite?
Eval: False
Exercise: Is 21709 a prime number?
Eval: False
Exercise: Is 101917 a composite number?
Eval: False
Exercise: Is 38371 composite?
Eval: False
Exercise: Is 93529 composite?
Eval: False
Exercise: Is 189854771 prime?
Eval: False
Exercise: Is 21173773657 prime?
Eval: False
Exercise: Is 18509 a prime number?
Eval: False
Exercise: Is 72809531 a composite number?
Eval: True
Exercise: Is 53183 composite?
Eval: True
Exercise: Is 23009219 pr
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numbers: is prime
-----------------
Situation: Is 243213617 a prime number?
Finding: False
Situation: Is 11737917949 composite?
Finding: False
Situation: Is 4763159 prime?
Finding: True
Situation: Is 4101966977 prime?
Finding: False
Situation: Is 38584724341 a composite number?
Finding: True
Situation: Is 254295823 a composite number?
Finding: False
Situation: Is 78922271 prime?
Finding: False
Situation: Is 9083 a prime number?
Finding: False
Situation: Is 8332529 composite?
Finding: False
Situation: Is 39299917 a prime number?
Finding: True
Situation: Is 135483 a composite number?
Finding: True
Situation: Is 72345587 composite?
Finding: False
Situation: Is 4703 a prime number?
Finding: True
Situation: Is 1195361 a composite number?
Finding: False
Situation: Is 5915872667 prime?
Finding: False
Situation: Is 169523 a prime number?
Finding: True
Situation: Is 46229 composite?
Finding: False
Situation: Is 222585173 a prime number?
Finding: False
Situation: Is 2692553483 a prime number?
Finding: False
Situation: Is 22670218507 a prime number?
Finding: False
Situation: Is 135870379 prime?
Finding: True
Situation: Is 45547048471 a composite number?
Finding: True
Situation: Is 943477999 composite?
Finding: True
Situation: Is 53657 prime?
Finding: True
Situation: Is 188213 a prime number?
Finding: False
Situation: Is 51134311 prime?
Finding: True
Situation: Is 21123757 prime?
Finding: True
Situation: Is 585811 a composite number?
Finding: True
Situation: Is 41304163 prime?
Finding: True
Situation: Is 8709829 a prime number?
Finding: False
Situation: Is 40737749 composite?
Finding: True
Situation: Is 913 composite?
Finding: True
Situation: Is 875204243 a prime number?
Finding: True
Situation: Is 5977583 prime?
Finding: False
Situation: Is 20423 composite?
Finding: True
Situation: Is 272775563 a prime number?
Finding: True
Situation: Is 351151 prime?
Finding: True
Situation: Is 33497681879 prime?
Finding: True
Situation: Is 72724891 prime?
Finding: True
Situation: Is 23834390
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arithmetic: nearest integer root
--------------------------------
Task: What is 4746495 to the power of 1/2, to the nearest integer?
Fix: 2179
Task: What is 29695878 to the power of 1/3, to the nearest integer?
Fix: 310
Task: What is the third root of 34800742 to the nearest integer?
Fix: 326
Task: What is 496331 to the power of 1/2, to the nearest integer?
Fix: 705
Task: What is the third root of 4212349629 to the nearest integer?
Fix: 1615
Task: What is the square root of 3766103 to the nearest integer?
Fix: 1941
Task: What is the cube root of 227920056 to the nearest integer?
Fix: 611
Task: What is 89275595 to the power of 1/6, to the nearest integer?
Fix: 21
Task: What is the square root of 38448 to the nearest integer?
Fix: 196
Task: What is 2825999577 to the power of 1/2, to the nearest integer?
Fix: 53160
Task: What is the sixth root of 1024152920 to the nearest integer?
Fix: 32
Task: What is 322514 to the power of 1/5, to the nearest integer?
Fix: 13
Task: What is 16878037 to the power of 1/2, to the nearest integer?
Fix: 4108
Task: What is the third root of 19956 to the nearest integer?
Fix: 27
Task: What is the third root of 3892283 to the nearest integer?
Fix: 157
Task: What is the cube root of 500 to the nearest integer?
Fix: 8
Task: What is the square root of 190217 to the nearest integer?
Fix: 436
Task: What is the third root of 2357754 to the nearest integer?
Fix: 133
Task: What is 936264 to the power of 1/9, to the nearest integer?
Fix: 5
Task: What is 277603 to the power of 1/4, to the nearest integer?
Fix: 23
Task: What is 1790084 to the power of 1/3, to the nearest integer?
Fix: 121
Task: What is the fourth root of 95846 to the nearest integer?
Fix: 18
Task: What is the third root of 1766 to the nearest integer?
Fix: 12
Task: What is the ninth root of 1068312 to the nearest integer?
Fix: 5
Task: What is the fourth root of 263675415 to the nearest integer?
Fix: 127
Task: What is the cube root of 142174 to the nearest integer?
Fix: 52
Task: What is
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measurement: conversion
-----------------------
Inquiry: What is 1/80 of a meter in micrometers?
Explanation: 12500
Inquiry: How many months are there in eighty-seven fifths of a century?
Explanation: 20880
Inquiry: Convert 2313161.7 hours to days.
Explanation: 96381.7375
Inquiry: How many millilitres are there in 3/5 of a litre?
Explanation: 600
Inquiry: Convert 0.8333527mg to grams.
Explanation: 0.0008333527
Inquiry: Convert 0.6357437 kilometers to micrometers.
Explanation: 635743700
Inquiry: How many millilitres are there in 21/2 of a litre?
Explanation: 10500
Inquiry: How many months are there in eight thirds of a year?
Explanation: 32
Inquiry: Convert 3966.888ug to kilograms.
Explanation: 0.000003966888
Inquiry: What is nine tenths of a milligram in micrograms?
Explanation: 900
Inquiry: How many nanograms are there in 0.5870169mg?
Explanation: 587016.9
Inquiry: How many millilitres are there in 11/2 of a litre?
Explanation: 5500
Inquiry: What is 70835.98l in millilitres?
Explanation: 70835980
Inquiry: What is 409.7063 micrometers in meters?
Explanation: 0.0004097063
Inquiry: How many micrometers are there in thirteen eighths of a centimeter?
Explanation: 16250
Inquiry: How many nanograms are there in 69.6623 micrograms?
Explanation: 69662.3
Inquiry: Convert 610080.5 decades to centuries.
Explanation: 61008.05
Inquiry: What is 1.881613 weeks in days?
Explanation: 13.171291
Inquiry: How many micrograms are there in 1/5 of a milligram?
Explanation: 200
Inquiry: How many months are there in 26/5 of a decade?
Explanation: 624
Inquiry: What is 9.425859t in micrograms?
Explanation: 9425859000000
Inquiry: What is 32/7 of a week in days?
Explanation: 32
Inquiry: What is 7.890296 weeks in nanoseconds?
Explanation: 4772051020800000
Inquiry: How many centimeters are there in three fifths of a meter?
Explanation: 60
Inquiry: How many kilograms are there in three eighths of a tonne?
Explanation: 375
Inquiry: How many seconds are there in 21/5 of a hour?
Explanation: 15120
In
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numbers: div remainder
----------------------
Case: What is the remainder when 31099 is divided by 798?
A: 775
Case: What is the remainder when 1148938 is divided by 2992?
A: 10
Case: What is the remainder when 2107397 is divided by 1053698?
A: 1
Case: Calculate the remainder when 149950018 is divided by 1005.
A: 1003
Case: Calculate the remainder when 1897 is divided by 221.
A: 129
Case: What is the remainder when 45462 is divided by 14967?
A: 561
Case: What is the remainder when 1453421 is divided by 1890?
A: 11
Case: What is the remainder when 8191 is divided by 139?
A: 129
Case: Calculate the remainder when 14943 is divided by 35.
A: 33
Case: What is the remainder when 40619 is divided by 33?
A: 29
Case: What is the remainder when 5756132 is divided by 3453?
A: 3434
Case: What is the remainder when 869 is divided by 235?
A: 164
Case: Calculate the remainder when 1127152 is divided by 730.
A: 32
Case: What is the remainder when 9155 is divided by 1282?
A: 181
Case: Calculate the remainder when 147530 is divided by 366.
A: 32
Case: What is the remainder when 7019 is divided by 60?
A: 59
Case: Calculate the remainder when 283007980 is divided by 406.
A: 402
Case: Calculate the remainder when 15429 is divided by 43.
A: 35
Case: Calculate the remainder when 126 is divided by 17.
A: 7
Case: Calculate the remainder when 680971 is divided by 6364.
A: 23
Case: Calculate the remainder when 2387 is divided by 1177.
A: 33
Case: What is the remainder when 434 is divided by 48?
A: 2
Case: What is the remainder when 67583 is divided by 2842?
A: 2217
Case: Calculate the remainder when 492 is divided by 50.
A: 42
Case: What is the remainder when 75 is divided by 24?
A: 3
Case: What is the remainder when 2526 is divided by 197?
A: 162
Case: Calculate the remainder when 26411 is divided by 93.
A: 92
Case: What is the remainder when 2505359 is divided by 390?
A: 389
Case: What is the remainder when 788 is divided by 137?
A: 103
Case: What is the remainder when 460745 is divided by
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numbers: div remainder
----------------------
Inquiry: Calculate the remainder when 57885 is divided by 2388.
Response: 573
Inquiry: Calculate the remainder when 1150 is divided by 271.
Response: 66
Inquiry: Calculate the remainder when 7144 is divided by 723.
Response: 637
Inquiry: What is the remainder when 1087682 is divided by 1087667?
Response: 15
Inquiry: Calculate the remainder when 57 is divided by 32.
Response: 25
Inquiry: Calculate the remainder when 66 is divided by 25.
Response: 16
Inquiry: What is the remainder when 373449 is divided by 52?
Response: 37
Inquiry: Calculate the remainder when 3620 is divided by 15.
Response: 5
Inquiry: What is the remainder when 14282 is divided by 1019?
Response: 16
Inquiry: What is the remainder when 1882 is divided by 70?
Response: 62
Inquiry: What is the remainder when 160292 is divided by 822?
Response: 2
Inquiry: Calculate the remainder when 115255 is divided by 546.
Response: 49
Inquiry: Calculate the remainder when 314 is divided by 161.
Response: 153
Inquiry: What is the remainder when 30884987 is divided by 1616?
Response: 1611
Inquiry: Calculate the remainder when 309 is divided by 131.
Response: 47
Inquiry: What is the remainder when 49158 is divided by 26?
Response: 18
Inquiry: Calculate the remainder when 7369785 is divided by 41637.
Response: 36
Inquiry: Calculate the remainder when 1473647 is divided by 210521.
Response: 0
Inquiry: Calculate the remainder when 2368 is divided by 173.
Response: 119
Inquiry: What is the remainder when 276 is divided by 23?
Response: 0
Inquiry: Calculate the remainder when 6324 is divided by 57.
Response: 54
Inquiry: Calculate the remainder when 245069 is divided by 70.
Response: 69
Inquiry: Calculate the remainder when 10925 is divided by 29.
Response: 21
Inquiry: What is the remainder when 19673 is divided by 19649?
Response: 24
Inquiry: What is the remainder when 2723755 is divided by 1164?
Response: 1159
Inquiry: Calculate the remainder when 104 is divided by 15.
Response
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probability: swr p level set
----------------------------
Item: Calculate prob of picking 2 h, 1 x, and 1 c when four letters picked without replacement from oogggccghgxgxogogo.
Calculation: 0
Item: Two letters picked without replacement from lpwprrp. Give prob of picking 1 w and 1 r.
Calculation: 2/21
Item: Two letters picked without replacement from {x: 1, f: 10, b: 1, y: 1}. Give prob of picking 2 b.
Calculation: 0
Item: Two letters picked without replacement from {s: 6}. Give prob of picking 2 s.
Calculation: 1
Item: Two letters picked without replacement from bhhmmhuhaaha. Give prob of picking 1 h and 1 a.
Calculation: 5/22
Item: What is prob of picking 1 k and 3 e when four letters picked without replacement from {e: 7, k: 2}?
Calculation: 5/9
Item: Three letters picked without replacement from uivhieeexhxhhihxhhh. What is prob of picking 1 e, 1 x, and 1 h?
Calculation: 24/323
Item: Four letters picked without replacement from jeiiiieeiijijijee. Give prob of picking 2 e and 2 i.
Calculation: 2/17
Item: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from sszsisnsniisnxsssssk.
Calculation: 11/190
Item: Two letters picked without replacement from kfwffwkwfkwfkk. What is prob of picking 2 k?
Calculation: 10/91
Item: Calculate prob of picking 1 n and 3 g when four letters picked without replacement from {g: 8, n: 5}.
Calculation: 56/143
Item: What is prob of picking 1 u and 1 s when two letters picked without replacement from ususuus?
Calculation: 4/7
Item: Two letters picked without replacement from {h: 1, a: 3, r: 3, y: 1, w: 2, x: 1}. What is prob of picking 1 h and 1 w?
Calculation: 2/55
Item: Two letters picked without replacement from eedtut. What is prob of picking 1 d and 1 u?
Calculation: 1/15
Item: Two letters picked without replacement from kdlkdkkdllkdldlkz. Give prob of picking 2 d.
Calculation: 5/68
Item: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from vvvlvwvwvvwvw.
Calculation
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numbers: place value
--------------------
Task: What is the ten millions digit of 1976718129?
Hence: 7
Task: What is the ten thousands digit of 27712?
Hence: 2
Task: What is the thousands digit of 253168479?
Hence: 8
Task: What is the units digit of 26348313?
Hence: 3
Task: What is the ten millions digit of 1392904523?
Hence: 9
Task: What is the hundreds digit of 631?
Hence: 6
Task: What is the hundreds digit of 179?
Hence: 1
Task: What is the millions digit of 151099190?
Hence: 1
Task: What is the ten millions digit of 554486282?
Hence: 5
Task: What is the hundreds digit of 302778037?
Hence: 0
Task: What is the units digit of 846599?
Hence: 9
Task: What is the thousands digit of 2526?
Hence: 2
Task: What is the thousands digit of 5632379?
Hence: 2
Task: What is the hundreds digit of 409437?
Hence: 4
Task: What is the units digit of 1221181?
Hence: 1
Task: What is the thousands digit of 35719?
Hence: 5
Task: What is the tens digit of 5496?
Hence: 9
Task: What is the ten thousands digit of 403835?
Hence: 0
Task: What is the thousands digit of 842472974?
Hence: 2
Task: What is the tens digit of 112465?
Hence: 6
Task: What is the thousands digit of 574268?
Hence: 4
Task: What is the ten thousands digit of 30806950?
Hence: 0
Task: What is the tens digit of 853?
Hence: 5
Task: What is the hundreds digit of 88401?
Hence: 4
Task: What is the millions digit of 41616850?
Hence: 1
Task: What is the ten thousands digit of 24351889?
Hence: 5
Task: What is the hundred thousands digit of 3094766?
Hence: 0
Task: What is the ten millions digit of 2501539280?
Hence: 0
Task: What is the thousands digit of 5678085?
Hence: 8
Task: What is the tens digit of 74161?
Hence: 6
Task: What is the hundred thousands digit of 47084672?
Hence: 0
Task: What is the units digit of 4764?
Hence: 4
Task: What is the thousands digit of 219942?
Hence: 9
Task: What is the ten thousands digit of 11525?
Hence: 1
Task: What is the thousands digit of 3703?
Hence: 3
Task: What is the ten millions digit of 4044
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measurement: time
-----------------
Question: What is 231 minutes after 9:02 AM?
Soln: 12:53 PM
Question: How many minutes are there between 4:07 AM and 9:03 AM?
Soln: 296
Question: How many minutes are there between 4:59 AM and 4:18 PM?
Soln: 679
Question: What is 525 minutes before 4:51 PM?
Soln: 8:06 AM
Question: How many minutes are there between 2:15 PM and 12:26 AM?
Soln: 611
Question: What is 25 minutes before 12:14 PM?
Soln: 11:49 AM
Question: How many minutes are there between 4:40 AM and 5:39 AM?
Soln: 59
Question: What is 592 minutes after 12:06 AM?
Soln: 9:58 AM
Question: How many minutes are there between 3:23 PM and 2:44 AM?
Soln: 681
Question: What is 327 minutes after 7:39 AM?
Soln: 1:06 PM
Question: What is 195 minutes after 1:01 PM?
Soln: 4:16 PM
Question: What is 92 minutes after 3:52 AM?
Soln: 5:24 AM
Question: How many minutes are there between 10:44 PM and 2:48 AM?
Soln: 244
Question: What is 557 minutes after 2:47 AM?
Soln: 12:04 PM
Question: How many minutes are there between 5:12 PM and 6:59 PM?
Soln: 107
Question: How many minutes are there between 5:37 AM and 1:13 PM?
Soln: 456
Question: How many minutes are there between 10:24 PM and 6:11 AM?
Soln: 467
Question: How many minutes are there between 1:36 PM and 5:45 PM?
Soln: 249
Question: What is 345 minutes after 2:02 AM?
Soln: 7:47 AM
Question: What is 207 minutes after 7:19 AM?
Soln: 10:46 AM
Question: What is 488 minutes before 3:19 PM?
Soln: 7:11 AM
Question: How many minutes are there between 4:33 AM and 2:03 PM?
Soln: 570
Question: How many minutes are there between 5:37 PM and 5:36 AM?
Soln: 719
Question: What is 204 minutes after 7:53 PM?
Soln: 11:17 PM
Question: What is 657 minutes after 7:33 PM?
Soln: 6:30 AM
Question: How many minutes are there between 5:49 PM and 1:12 AM?
Soln: 443
Question: How many minutes are there between 8:21 AM and 2:32 PM?
Soln: 371
Question: What is 148 minutes before 4:17 PM?
Soln: 1:49 PM
Question: How many minutes are there between 1:29 PM and 12:30
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probability: swr p sequence
---------------------------
Subject: Four letters picked without replacement from xtxuxyxletxte. What is prob of sequence xxly?
Response: 1/858
Subject: Two letters picked without replacement from rqrcwnkwc. What is prob of sequence kc?
Response: 1/36
Subject: Three letters picked without replacement from woswahsh. Give prob of sequence whs.
Response: 1/42
Subject: What is prob of sequence qxs when three letters picked without replacement from {x: 2, r: 6, p: 2, q: 1, s: 1}?
Response: 1/660
Subject: Three letters picked without replacement from {x: 4, p: 4, g: 1, b: 6, o: 1, s: 2}. What is prob of sequence gsb?
Response: 1/408
Subject: Calculate prob of sequence vo when two letters picked without replacement from {v: 1, t: 2, u: 1, o: 3, n: 3, b: 1}.
Response: 3/110
Subject: Two letters picked without replacement from {o: 1, h: 1, w: 3}. What is prob of sequence ho?
Response: 1/20
Subject: Calculate prob of sequence ppmp when four letters picked without replacement from {m: 3, p: 9}.
Response: 7/55
Subject: Calculate prob of sequence xx when two letters picked without replacement from {x: 10}.
Response: 1
Subject: Two letters picked without replacement from xkkkxxxx. What is prob of sequence kx?
Response: 15/56
Subject: Three letters picked without replacement from {r: 7, g: 5}. What is prob of sequence grg?
Response: 7/66
Subject: What is prob of sequence gggg when four letters picked without replacement from gwwwgwgwwgwgg?
Response: 3/143
Subject: Calculate prob of sequence svwb when four letters picked without replacement from bsvwn.
Response: 1/120
Subject: Calculate prob of sequence eo when two letters picked without replacement from {d: 1, o: 2, e: 4, q: 1, x: 10}.
Response: 4/153
Subject: Calculate prob of sequence nna when three letters picked without replacement from {m: 7, k: 2, l: 2, a: 1, x: 2, n: 2}.
Response: 1/1680
Subject: Three letters picked without replacement from {t: 3, o: 5, b: 3, i: 2, r: 2}. What is prob of sequenc
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numbers: is prime
-----------------
Situation: Is 334642201 a prime number?
Compute: True
Situation: Is 203057 a composite number?
Compute: False
Situation: Is 15643341853 a composite number?
Compute: False
Situation: Is 10583757683 composite?
Compute: True
Situation: Is 1830519409 a composite number?
Compute: True
Situation: Is 19788919 composite?
Compute: True
Situation: Is 5093999423 a prime number?
Compute: True
Situation: Is 394934473 a composite number?
Compute: False
Situation: Is 869203 a composite number?
Compute: False
Situation: Is 313843961 a prime number?
Compute: True
Situation: Is 1151 prime?
Compute: True
Situation: Is 35491 a composite number?
Compute: False
Situation: Is 1850440297 composite?
Compute: False
Situation: Is 4249 composite?
Compute: True
Situation: Is 157320673 composite?
Compute: True
Situation: Is 52517 composite?
Compute: False
Situation: Is 102259 composite?
Compute: False
Situation: Is 5366377 composite?
Compute: False
Situation: Is 325590313 composite?
Compute: True
Situation: Is 137894 a prime number?
Compute: False
Situation: Is 194991 composite?
Compute: True
Situation: Is 17532077263 a prime number?
Compute: False
Situation: Is 82765169 composite?
Compute: False
Situation: Is 3615049 a prime number?
Compute: False
Situation: Is 6697013 prime?
Compute: False
Situation: Is 73939 prime?
Compute: True
Situation: Is 464468863 composite?
Compute: False
Situation: Is 1732721554 prime?
Compute: False
Situation: Is 233663 prime?
Compute: True
Situation: Is 43997 prime?
Compute: True
Situation: Is 685397707 a composite number?
Compute: False
Situation: Is 47063 prime?
Compute: False
Situation: Is 102373 prime?
Compute: False
Situation: Is 50341 composite?
Compute: False
Situation: Is 90846131 composite?
Compute: False
Situation: Is 1878377 composite?
Compute: True
Situation: Is 19385083087 a composite number?
Compute: True
Situation: Is 38993 composite?
Compute: False
Situation: Is 239594 a prime number?
Compute: False
Situation: Is 20
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numbers: div remainder
----------------------
Ask: Calculate the remainder when 782054 is divided by 5175.
Clarification: 629
Ask: Calculate the remainder when 339 is divided by 23.
Clarification: 17
Ask: Calculate the remainder when 2393647 is divided by 134.
Clarification: 5
Ask: What is the remainder when 896 is divided by 21?
Clarification: 14
Ask: Calculate the remainder when 1254 is divided by 14.
Clarification: 8
Ask: Calculate the remainder when 115674 is divided by 239.
Clarification: 237
Ask: Calculate the remainder when 201 is divided by 5.
Clarification: 1
Ask: Calculate the remainder when 5039 is divided by 1259.
Clarification: 3
Ask: What is the remainder when 140 is divided by 18?
Clarification: 14
Ask: What is the remainder when 350 is divided by 32?
Clarification: 30
Ask: Calculate the remainder when 26334 is divided by 941.
Clarification: 927
Ask: What is the remainder when 3426 is divided by 126?
Clarification: 24
Ask: Calculate the remainder when 66331 is divided by 8290.
Clarification: 11
Ask: Calculate the remainder when 398 is divided by 57.
Clarification: 56
Ask: Calculate the remainder when 6088146 is divided by 1009.
Clarification: 849
Ask: Calculate the remainder when 26790 is divided by 406.
Clarification: 400
Ask: Calculate the remainder when 686 is divided by 195.
Clarification: 101
Ask: Calculate the remainder when 3242 is divided by 50.
Clarification: 42
Ask: What is the remainder when 157 is divided by 34?
Clarification: 21
Ask: What is the remainder when 128 is divided by 68?
Clarification: 60
Ask: What is the remainder when 60118 is divided by 210?
Clarification: 58
Ask: Calculate the remainder when 81234639 is divided by 96.
Clarification: 15
Ask: Calculate the remainder when 156282 is divided by 13.
Clarification: 9
Ask: What is the remainder when 8073 is divided by 5?
Clarification: 3
Ask: What is the remainder when 11005 is divided by 3465?
Clarification: 610
Ask: Calculate the remainder when 664942 is divided by 7312.
Clarific
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measurement: conversion
-----------------------
Situation: Convert 62113.37 micrometers to kilometers.
Explanation: 0.00006211337
Situation: How many minutes are there in 17.107338s?
Explanation: 0.2851223
Situation: What is 7.28 litres in millilitres?
Explanation: 7280
Situation: What is three fifths of a litre in millilitres?
Explanation: 600
Situation: How many weeks are there in 15711.9858 seconds?
Explanation: 0.0259788125
Situation: What is 27/2 of a gram in milligrams?
Explanation: 13500
Situation: What is eleven quarters of a millennium in months?
Explanation: 33000
Situation: What is 52/5 of a litre in millilitres?
Explanation: 10400
Situation: How many millilitres are there in 29/2 of a litre?
Explanation: 14500
Situation: What is 3/50 of a kilometer in centimeters?
Explanation: 6000
Situation: How many centimeters are there in 8657.294m?
Explanation: 865729.4
Situation: How many nanoseconds are there in thirteen quarters of a microsecond?
Explanation: 3250
Situation: How many milliseconds are there in 3/25 of a second?
Explanation: 120
Situation: What is 21/4 of a litre in millilitres?
Explanation: 5250
Situation: What is 3/50 of a meter in centimeters?
Explanation: 6
Situation: What is 29/3 of a decade in months?
Explanation: 1160
Situation: Convert 703156.8ms to seconds.
Explanation: 703.1568
Situation: Convert 45139.31 hours to nanoseconds.
Explanation: 162501516000000000
Situation: Convert 8795.471 years to decades.
Explanation: 879.5471
Situation: How many years are there in 0.264502 centuries?
Explanation: 26.4502
Situation: What is 147.673kg in tonnes?
Explanation: 0.147673
Situation: How many micrometers are there in 2684.42 nanometers?
Explanation: 2.68442
Situation: How many years are there in 4928.55 months?
Explanation: 410.7125
Situation: What is 4/3 of a week in hours?
Explanation: 224
Situation: Convert 179.1356 milligrams to kilograms.
Explanation: 0.0001791356
Situation: How many millennia are there in 101153.4 decades?
Explanation: 1011.
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numbers: gcd
------------
Request: Calculate the highest common factor of 1295 and 5.
Thus: 5
Request: What is the highest common divisor of 603 and 18?
Thus: 9
Request: Calculate the greatest common factor of 5969 and 47.
Thus: 47
Request: What is the greatest common divisor of 248 and 352718?
Thus: 62
Request: What is the highest common divisor of 219 and 504576?
Thus: 219
Request: Calculate the greatest common divisor of 915 and 15.
Thus: 15
Request: Calculate the greatest common factor of 39996 and 91834452.
Thus: 3636
Request: Calculate the highest common divisor of 1386 and 66.
Thus: 66
Request: Calculate the highest common divisor of 12415903 and 93.
Thus: 31
Request: Calculate the highest common factor of 18998 and 90492902.
Thus: 2714
Request: Calculate the greatest common divisor of 68324 and 464.
Thus: 116
Request: Calculate the highest common factor of 1554 and 1281.
Thus: 21
Request: Calculate the highest common divisor of 1360 and 92.
Thus: 4
Request: What is the greatest common divisor of 41484 and 24?
Thus: 12
Request: What is the highest common factor of 3941 and 118793?
Thus: 563
Request: What is the greatest common divisor of 96 and 1282608?
Thus: 48
Request: What is the highest common divisor of 139806 and 108?
Thus: 54
Request: What is the highest common factor of 2771 and 17?
Thus: 17
Request: What is the greatest common divisor of 225 and 27?
Thus: 9
Request: Calculate the greatest common divisor of 870 and 4.
Thus: 2
Request: What is the highest common factor of 164 and 4018?
Thus: 82
Request: What is the highest common factor of 88974 and 80334?
Thus: 18
Request: Calculate the highest common factor of 105 and 33.
Thus: 3
Request: Calculate the highest common factor of 108 and 54.
Thus: 54
Request: What is the highest common divisor of 384753 and 14127?
Thus: 831
Request: What is the greatest common factor of 476812 and 40208?
Thus: 28
Request: Calculate the highest common factor of 1001 and 113659.
Thus: 91
Request: What is the highest commo
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numbers: place value
--------------------
Qn: What is the hundred thousands digit of 1258387816?
Fix: 3
Qn: What is the thousands digit of 24759984?
Fix: 9
Qn: What is the hundred thousands digit of 128093425?
Fix: 0
Qn: What is the thousands digit of 27354?
Fix: 7
Qn: What is the hundreds digit of 16201?
Fix: 2
Qn: What is the units digit of 28068768?
Fix: 8
Qn: What is the thousands digit of 118317?
Fix: 8
Qn: What is the millions digit of 6233863?
Fix: 6
Qn: What is the tens digit of 4846446246?
Fix: 4
Qn: What is the tens digit of 708519612?
Fix: 1
Qn: What is the tens digit of 20918?
Fix: 1
Qn: What is the hundreds digit of 895992059?
Fix: 0
Qn: What is the thousands digit of 957860484?
Fix: 0
Qn: What is the ten thousands digit of 7181473?
Fix: 8
Qn: What is the hundred thousands digit of 134404?
Fix: 1
Qn: What is the ten millions digit of 1231580214?
Fix: 3
Qn: What is the ten thousands digit of 332495?
Fix: 3
Qn: What is the tens digit of 34100967?
Fix: 6
Qn: What is the hundreds digit of 1231888856?
Fix: 8
Qn: What is the tens digit of 906?
Fix: 0
Qn: What is the hundreds digit of 349148?
Fix: 1
Qn: What is the units digit of 3939460115?
Fix: 5
Qn: What is the units digit of 874953?
Fix: 3
Qn: What is the tens digit of 28230?
Fix: 3
Qn: What is the hundred millions digit of 240641995?
Fix: 2
Qn: What is the thousands digit of 4062629?
Fix: 2
Qn: What is the units digit of 492?
Fix: 2
Qn: What is the units digit of 36813?
Fix: 3
Qn: What is the tens digit of 11255?
Fix: 5
Qn: What is the thousands digit of 22051?
Fix: 2
Qn: What is the tens digit of 7511443?
Fix: 4
Qn: What is the tens digit of 1465883738?
Fix: 3
Qn: What is the ten millions digit of 27317116?
Fix: 2
Qn: What is the tens digit of 898080?
Fix: 8
Qn: What is the hundreds digit of 705454?
Fix: 4
Qn: What is the ten thousands digit of 3729230?
Fix: 2
Qn: What is the hundreds digit of 4020451?
Fix: 4
Qn: What is the ten thousands digit of 10866?
Fix: 1
Qn: What is the tens digit of 1194?
Fix: 9
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numbers: is factor
------------------
Problem #: Does 45 divide 41596965?
Resolution: True
Problem #: Is 11251739 a multiple of 147?
Resolution: False
Problem #: Does 31 divide 771?
Resolution: False
Problem #: Does 62 divide 88983020?
Resolution: True
Problem #: Is 5457370 a multiple of 19?
Resolution: True
Problem #: Is 105 a multiple of 7?
Resolution: True
Problem #: Is 10 a factor of 9645349?
Resolution: False
Problem #: Is 82 a factor of 33368?
Resolution: False
Problem #: Is 143771 a multiple of 254?
Resolution: False
Problem #: Does 31 divide 31?
Resolution: True
Problem #: Is 114759 a multiple of 13?
Resolution: False
Problem #: Is 3 a factor of 316?
Resolution: False
Problem #: Does 107 divide 3017400?
Resolution: True
Problem #: Is 927 a multiple of 56?
Resolution: False
Problem #: Is 8 a factor of 171409816?
Resolution: True
Problem #: Is 2095747 a multiple of 273?
Resolution: False
Problem #: Is 6988230 a multiple of 37?
Resolution: False
Problem #: Is 407 a multiple of 18?
Resolution: False
Problem #: Is 1256328539 a multiple of 58?
Resolution: False
Problem #: Is 436 a factor of 116848?
Resolution: True
Problem #: Does 561 divide 785400?
Resolution: True
Problem #: Does 6 divide 8007048?
Resolution: True
Problem #: Is 325 a factor of 1290765?
Resolution: False
Problem #: Does 19 divide 577711811?
Resolution: False
Problem #: Does 964 divide 5281756?
Resolution: True
Problem #: Is 258 a multiple of 6?
Resolution: True
Problem #: Does 2 divide 1774183?
Resolution: False
Problem #: Does 41 divide 4462?
Resolution: False
Problem #: Does 34 divide 1700?
Resolution: True
Problem #: Does 43 divide 2365?
Resolution: True
Problem #: Does 9 divide 42615?
Resolution: True
Problem #: Is 11018376 a multiple of 391?
Resolution: False
Problem #: Does 105 divide 25525?
Resolution: False
Problem #: Is 4421544 a multiple of 24?
Resolution: True
Problem #: Is 16 a factor of 91081211?
Resolution: False
Problem #: Is 86 a factor of 34097?
Resolution: False
Problem #: Is 42
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measurement: time
-----------------
Problem: How many minutes are there between 1:29 PM and 6:12 PM?
Sol: 283
Problem: How many minutes are there between 8:44 PM and 8:00 AM?
Sol: 676
Problem: How many minutes are there between 1:53 PM and 9:47 PM?
Sol: 474
Problem: How many minutes are there between 6:47 AM and 9:21 AM?
Sol: 154
Problem: How many minutes are there between 12:43 PM and 6:08 PM?
Sol: 325
Problem: What is 401 minutes after 12:20 AM?
Sol: 7:01 AM
Problem: What is 488 minutes before 4:23 PM?
Sol: 8:15 AM
Problem: How many minutes are there between 11:32 AM and 10:34 PM?
Sol: 662
Problem: How many minutes are there between 3:15 PM and 6:19 PM?
Sol: 184
Problem: What is 101 minutes before 4:52 AM?
Sol: 3:11 AM
Problem: How many minutes are there between 2:41 AM and 7:46 AM?
Sol: 305
Problem: What is 681 minutes after 4:54 PM?
Sol: 4:15 AM
Problem: How many minutes are there between 12:31 AM and 5:53 AM?
Sol: 322
Problem: What is 678 minutes before 1:56 AM?
Sol: 2:38 PM
Problem: What is 525 minutes before 10:01 AM?
Sol: 1:16 AM
Problem: How many minutes are there between 2:23 PM and 1:50 AM?
Sol: 687
Problem: How many minutes are there between 3:17 AM and 4:55 AM?
Sol: 98
Problem: What is 456 minutes after 11:08 PM?
Sol: 6:44 AM
Problem: What is 520 minutes before 11:40 AM?
Sol: 3:00 AM
Problem: How many minutes are there between 11:57 AM and 1:58 PM?
Sol: 121
Problem: How many minutes are there between 7:23 AM and 10:10 AM?
Sol: 167
Problem: How many minutes are there between 5:06 AM and 3:42 PM?
Sol: 636
Problem: How many minutes are there between 1:11 AM and 6:03 AM?
Sol: 292
Problem: How many minutes are there between 9:10 PM and 8:41 AM?
Sol: 691
Problem: What is 14 minutes before 5:12 PM?
Sol: 4:58 PM
Problem: How many minutes are there between 6:13 AM and 7:24 AM?
Sol: 71
Problem: What is 277 minutes after 11:42 AM?
Sol: 4:19 PM
Problem: How many minutes are there between 7:15 PM and 9:43 PM?
Sol: 148
Problem: How many minutes are there between 10:0
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numbers: gcd
------------
Q/A: What is the greatest common divisor of 168 and 15480?
A: 24
Q/A: What is the highest common divisor of 117 and 54?
A: 9
Q/A: What is the highest common divisor of 759 and 18469?
A: 253
Q/A: What is the highest common factor of 132 and 75202842?
A: 66
Q/A: What is the greatest common factor of 458656 and 32?
A: 32
Q/A: What is the highest common factor of 489091527 and 2241?
A: 2241
Q/A: What is the highest common divisor of 22 and 265765742?
A: 22
Q/A: Calculate the greatest common factor of 282 and 36240102.
A: 282
Q/A: What is the greatest common divisor of 45 and 11008485?
A: 45
Q/A: What is the greatest common divisor of 1317404 and 638?
A: 22
Q/A: What is the greatest common factor of 365432 and 68?
A: 68
Q/A: Calculate the highest common factor of 66 and 4032171.
A: 33
Q/A: What is the highest common factor of 5668432 and 5136?
A: 1712
Q/A: What is the highest common divisor of 20979 and 1104873?
A: 21
Q/A: What is the highest common divisor of 93951 and 3796?
A: 949
Q/A: Calculate the highest common factor of 104 and 1144.
A: 104
Q/A: What is the greatest common divisor of 69 and 552?
A: 69
Q/A: What is the highest common divisor of 122915 and 465?
A: 155
Q/A: What is the highest common divisor of 353513 and 337?
A: 337
Q/A: What is the highest common divisor of 398 and 131513727?
A: 199
Q/A: Calculate the highest common divisor of 20284 and 9020.
A: 44
Q/A: Calculate the highest common factor of 85839 and 7545369.
A: 1209
Q/A: What is the highest common factor of 57812 and 1940?
A: 388
Q/A: Calculate the highest common factor of 958600 and 4200.
A: 200
Q/A: Calculate the greatest common divisor of 2326 and 5337565240.
A: 2326
Q/A: What is the highest common factor of 52389032 and 16?
A: 8
Q/A: What is the highest common factor of 1048 and 56?
A: 8
Q/A: What is the highest common divisor of 312463 and 1592293?
A: 1153
Q/A: What is the greatest common divisor of 2166625 and 500?
A: 125
Q/A: What is the greatest common divisor of
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measurement: conversion
-----------------------
Exercise: How many litres are there in 330.7517ml?
Calculation: 0.3307517
Exercise: How many decades are there in 610.8714 centuries?
Calculation: 6108.714
Exercise: How many nanometers are there in fourty-five halves of a micrometer?
Calculation: 22500
Exercise: Convert 57.60711 centuries to months.
Calculation: 69128.532
Exercise: How many milliseconds are there in 3.428573 nanoseconds?
Calculation: 0.000003428573
Exercise: What is 7/8 of a kilogram in grams?
Calculation: 875
Exercise: How many nanograms are there in twenty-one halves of a microgram?
Calculation: 10500
Exercise: What is 3/10 of a litre in millilitres?
Calculation: 300
Exercise: How many milligrams are there in 7032.697 tonnes?
Calculation: 7032697000000
Exercise: Convert 125.9631 millimeters to centimeters.
Calculation: 12.59631
Exercise: How many micrometers are there in fifty-three fifths of a millimeter?
Calculation: 10600
Exercise: What is 9493.085 decades in years?
Calculation: 94930.85
Exercise: How many months are there in 13/8 of a decade?
Calculation: 195
Exercise: How many millilitres are there in thirty-one fifths of a litre?
Calculation: 6200
Exercise: What is 3/8 of a kilometer in meters?
Calculation: 375
Exercise: What is 34/5 of a litre in millilitres?
Calculation: 6800
Exercise: Convert 7.633653 millimeters to kilometers.
Calculation: 0.000007633653
Exercise: How many kilograms are there in 90.63774 tonnes?
Calculation: 90637.74
Exercise: How many months are there in nine tenths of a millennium?
Calculation: 10800
Exercise: How many grams are there in 3/50 of a kilogram?
Calculation: 60
Exercise: How many millilitres are there in 1/4 of a litre?
Calculation: 250
Exercise: How many millilitres are there in 8366.78 litres?
Calculation: 8366780
Exercise: Convert 94581.61ml to litres.
Calculation: 94.58161
Exercise: Convert 43.53317l to millilitres.
Calculation: 43533.17
Exercise: How many micrograms are there in 102959.6ng?
Calculation:
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arithmetic: nearest integer root
--------------------------------
Question: What is 1329647 to the power of 1/8, to the nearest integer?
Final Answer: 6
Question: What is 2423 to the power of 1/7, to the nearest integer?
Final Answer: 3
Question: What is the cube root of 2154182302 to the nearest integer?
Final Answer: 1291
Question: What is 1115520030 to the power of 1/3, to the nearest integer?
Final Answer: 1037
Question: What is 1601056640 to the power of 1/2, to the nearest integer?
Final Answer: 40013
Question: What is 29442857 to the power of 1/2, to the nearest integer?
Final Answer: 5426
Question: What is 3524530 to the power of 1/4, to the nearest integer?
Final Answer: 43
Question: What is 3367 to the power of 1/4, to the nearest integer?
Final Answer: 8
Question: What is the cube root of 1265 to the nearest integer?
Final Answer: 11
Question: What is 80106 to the power of 1/10, to the nearest integer?
Final Answer: 3
Question: What is the cube root of 2926876 to the nearest integer?
Final Answer: 143
Question: What is the square root of 38461288 to the nearest integer?
Final Answer: 6202
Question: What is the sixth root of 7373283 to the nearest integer?
Final Answer: 14
Question: What is the square root of 2137 to the nearest integer?
Final Answer: 46
Question: What is 2895060 to the power of 1/3, to the nearest integer?
Final Answer: 143
Question: What is 24717912 to the power of 1/3, to the nearest integer?
Final Answer: 291
Question: What is 7992148 to the power of 1/9, to the nearest integer?
Final Answer: 6
Question: What is the square root of 136868 to the nearest integer?
Final Answer: 370
Question: What is the square root of 60161 to the nearest integer?
Final Answer: 245
Question: What is the square root of 592894638 to the nearest integer?
Final Answer: 24349
Question: What is 146 to the power of 1/4, to the nearest integer?
Final Answer: 3
Question: What is 5716 to the power of 1/3, to the nearest integer?
Final Answer: 18
Question: What is t
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measurement: conversion
-----------------------
Q=: How many weeks are there in 136.96879 days?
Response: 19.56697
Q=: What is eleven halves of a millennium in months?
Response: 66000
Q=: How many millennia are there in 0.3495618 centuries?
Response: 0.03495618
Q=: Convert 0.0220463 millennia to decades.
Response: 2.20463
Q=: How many micrograms are there in twenty-five halves of a milligram?
Response: 12500
Q=: How many days are there in 2410.78707 seconds?
Response: 0.027902628125
Q=: How many meters are there in 21/8 of a kilometer?
Response: 2625
Q=: What is 72435.96 millilitres in litres?
Response: 72.43596
Q=: What is 13065.06 minutes in seconds?
Response: 783903.6
Q=: What is one tenth of a week in seconds?
Response: 60480
Q=: How many minutes are there in three tenths of a day?
Response: 432
Q=: How many millilitres are there in 18/5 of a litre?
Response: 3600
Q=: How many milligrams are there in thirteen eighths of a gram?
Response: 1625
Q=: What is 158406.6t in milligrams?
Response: 158406600000000
Q=: What is 52/3 of a decade in months?
Response: 2080
Q=: Convert 0.2036846m to kilometers.
Response: 0.0002036846
Q=: How many milligrams are there in 21228.83g?
Response: 21228830
Q=: What is 3.602018 tonnes in milligrams?
Response: 3602018000
Q=: How many micrograms are there in 271.0228 tonnes?
Response: 271022800000000
Q=: Convert 3990.439l to millilitres.
Response: 3990439
Q=: Convert 0.304929 meters to centimeters.
Response: 30.4929
Q=: How many meters are there in 449.7231mm?
Response: 0.4497231
Q=: How many micrometers are there in one fifth of a millimeter?
Response: 200
Q=: What is 4822.374 years in decades?
Response: 482.2374
Q=: How many millimeters are there in eleven halves of a centimeter?
Response: 55
Q=: How many milliseconds are there in one fifteenth of a minute?
Response: 4000
Q=: How many tonnes are there in 426.7551mg?
Response: 0.0000004267551
Q=: How many grams are there in 6/25 of a kilogram?
Response: 240
Q=: What is six fifths of a c
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numbers: is factor
------------------
Problem: Is 28815 a multiple of 255?
Solution: True
Problem: Does 4 divide 10733?
Solution: False
Problem: Is 570380 a multiple of 20?
Solution: True
Problem: Does 91 divide 28732249?
Solution: True
Problem: Is 462 a multiple of 33?
Solution: True
Problem: Does 4 divide 4248?
Solution: True
Problem: Does 12 divide 162624?
Solution: True
Problem: Does 8970 divide 1685027634?
Solution: False
Problem: Is 13410589 a multiple of 37?
Solution: False
Problem: Does 35 divide 35506030?
Solution: True
Problem: Is 5121 a multiple of 9?
Solution: True
Problem: Is 578195037 a multiple of 189?
Solution: True
Problem: Does 20 divide 30400?
Solution: True
Problem: Does 412 divide 570713834?
Solution: False
Problem: Is 862 a factor of 174476794?
Solution: False
Problem: Does 8 divide 1090?
Solution: False
Problem: Is 8 a factor of 180872?
Solution: True
Problem: Is 997 a multiple of 22?
Solution: False
Problem: Does 232 divide 94448360?
Solution: True
Problem: Is 1919 a factor of 610689127?
Solution: True
Problem: Does 158 divide 54820954?
Solution: False
Problem: Is 729 a multiple of 27?
Solution: True
Problem: Does 53 divide 591153692?
Solution: False
Problem: Is 195 a multiple of 49?
Solution: False
Problem: Is 2438 a factor of 1516121498?
Solution: True
Problem: Does 1572 divide 187486152?
Solution: True
Problem: Does 49 divide 261758?
Solution: True
Problem: Is 4 a factor of 64759?
Solution: False
Problem: Does 625 divide 7958750?
Solution: True
Problem: Is 512 a factor of 1856839?
Solution: False
Problem: Is 10560 a multiple of 15?
Solution: True
Problem: Is 51 a multiple of 13?
Solution: False
Problem: Is 5721926 a multiple of 277?
Solution: False
Problem: Does 16 divide 20474?
Solution: False
Problem: Is 6609704 a multiple of 620?
Solution: False
Problem: Does 255 divide 2894482?
Solution: False
Problem: Does 13 divide 1162?
Solution: False
Problem: Is 495 a factor of 1355113485?
Solution: True
Problem: Is 21948 a multiple of 93?
Solutio
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measurement: conversion
-----------------------
Question: How many kilograms are there in three fifths of a tonne?
A: 600
Question: What is one fifteenth of a century in months?
A: 80
Question: Convert 41988.8 weeks to hours.
A: 7054118.4
Question: What is 23/3 of a week in minutes?
A: 77280
Question: How many millilitres are there in twenty-nine halves of a litre?
A: 14500
Question: Convert 99927.49 millilitres to litres.
A: 99.92749
Question: How many micrometers are there in 3/50 of a centimeter?
A: 600
Question: What is eleven tenths of a centimeter in millimeters?
A: 11
Question: What is one sixth of a century in months?
A: 200
Question: How many decades are there in 6/5 of a century?
A: 12
Question: What is five eighths of a microgram in nanograms?
A: 625
Question: How many centimeters are there in 7/16 of a kilometer?
A: 43750
Question: What is seven quarters of a year in months?
A: 21
Question: Convert 3.465595kg to micrograms.
A: 3465595000
Question: What is seven eighths of a day in hours?
A: 21
Question: How many kilograms are there in 13/4 of a tonne?
A: 3250
Question: What is 56.88577 nanograms in tonnes?
A: 0.00000000000005688577
Question: How many centuries are there in 0.6133945 decades?
A: 0.06133945
Question: Convert 1783.243 nanometers to millimeters.
A: 0.001783243
Question: How many nanoseconds are there in sixty-one halves of a microsecond?
A: 30500
Question: How many millilitres are there in twenty-five halves of a litre?
A: 12500
Question: Convert 7.607836km to nanometers.
A: 7607836000000
Question: How many days are there in 7.0584723ms?
A: 0.00000008169528125
Question: What is 145728.1854us in weeks?
A: 0.0000002409526875
Question: How many microseconds are there in one tenth of a millisecond?
A: 100
Question: How many months are there in 1/16 of a century?
A: 75
Question: What is seventy-five eighths of a litre in millilitres?
A: 9375
Question: Convert 35.14799 micrometers to meters.
A: 0.00003514799
Question: How many months are there in
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probability: swr p sequence
---------------------------
Problem: Three letters picked without replacement from zzzzzzkkzz. Give prob of sequence zkk.
Workthrough: 1/45
Problem: Calculate prob of sequence hhww when four letters picked without replacement from {w: 5, h: 5}.
Workthrough: 5/63
Problem: Two letters picked without replacement from {p: 4, s: 2, i: 4, l: 4}. Give prob of sequence pi.
Workthrough: 8/91
Problem: Calculate prob of sequence ei when two letters picked without replacement from igiegxg.
Workthrough: 1/21
Problem: What is prob of sequence xgx when three letters picked without replacement from {x: 3, g: 2, m: 2, q: 4, y: 1}?
Workthrough: 1/110
Problem: Four letters picked without replacement from zzizzzcziczzz. Give prob of sequence zzzz.
Workthrough: 126/715
Problem: Calculate prob of sequence qqaa when four letters picked without replacement from qqqqaqaqhaqaa.
Workthrough: 7/143
Problem: What is prob of sequence oooe when four letters picked without replacement from {e: 11, o: 9}?
Workthrough: 77/1615
Problem: Calculate prob of sequence ca when two letters picked without replacement from {n: 2, c: 1, q: 1, s: 1, x: 2, a: 7}.
Workthrough: 1/26
Problem: Three letters picked without replacement from {h: 4, y: 3, x: 1}. What is prob of sequence hyh?
Workthrough: 3/28
Problem: What is prob of sequence qee when three letters picked without replacement from {e: 11, d: 1, q: 7}?
Workthrough: 385/2907
Problem: Calculate prob of sequence jo when two letters picked without replacement from {c: 2, a: 5, k: 5, o: 1, j: 3}.
Workthrough: 1/80
Problem: What is prob of sequence pxpp when four letters picked without replacement from pxpxppppppppxppp?
Workthrough: 33/280
Problem: Calculate prob of sequence tp when two letters picked without replacement from ojohjprrt.
Workthrough: 1/72
Problem: What is prob of sequence xx when two letters picked without replacement from {x: 3, a: 1}?
Workthrough: 1/2
Problem: What is prob of sequence pw when two letters picked with
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measurement: time
-----------------
Test item: How many minutes are there between 12:46 AM and 3:26 AM?
Gives: 160
Test item: What is 457 minutes after 8:45 PM?
Gives: 4:22 AM
Test item: What is 581 minutes after 8:16 AM?
Gives: 5:57 PM
Test item: How many minutes are there between 2:00 PM and 11:51 PM?
Gives: 591
Test item: What is 406 minutes after 10:50 PM?
Gives: 5:36 AM
Test item: What is 309 minutes after 5:00 AM?
Gives: 10:09 AM
Test item: How many minutes are there between 9:44 AM and 12:37 PM?
Gives: 173
Test item: What is 599 minutes before 5:44 PM?
Gives: 7:45 AM
Test item: How many minutes are there between 5:45 AM and 8:13 AM?
Gives: 148
Test item: How many minutes are there between 10:48 PM and 6:58 AM?
Gives: 490
Test item: How many minutes are there between 3:02 AM and 2:46 PM?
Gives: 704
Test item: How many minutes are there between 5:55 AM and 5:43 PM?
Gives: 708
Test item: How many minutes are there between 12:46 AM and 7:45 AM?
Gives: 419
Test item: What is 324 minutes after 11:45 AM?
Gives: 5:09 PM
Test item: How many minutes are there between 6:06 AM and 12:50 PM?
Gives: 404
Test item: How many minutes are there between 9:30 PM and 11:45 PM?
Gives: 135
Test item: What is 504 minutes after 8:55 PM?
Gives: 5:19 AM
Test item: How many minutes are there between 8:06 AM and 10:46 AM?
Gives: 160
Test item: What is 643 minutes after 2:57 AM?
Gives: 1:40 PM
Test item: How many minutes are there between 12:44 PM and 8:17 PM?
Gives: 453
Test item: What is 27 minutes before 3:45 PM?
Gives: 3:18 PM
Test item: What is 153 minutes after 12:12 AM?
Gives: 2:45 AM
Test item: How many minutes are there between 2:08 PM and 6:14 PM?
Gives: 246
Test item: What is 492 minutes after 1:52 AM?
Gives: 10:04 AM
Test item: How many minutes are there between 11:09 PM and 12:31 AM?
Gives: 82
Test item: How many minutes are there between 7:48 PM and 1:59 AM?
Gives: 371
Test item: What is 568 minutes after 12:56 PM?
Gives: 10:24 PM
Test item: How many minutes are there betwee
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arithmetic: nearest integer root
--------------------------------
Example: What is the sixth root of 190888 to the nearest integer?
Math A: 8
Example: What is 979 to the power of 1/10, to the nearest integer?
Math A: 2
Example: What is the cube root of 1119 to the nearest integer?
Math A: 10
Example: What is the third root of 396 to the nearest integer?
Math A: 7
Example: What is the cube root of 36474 to the nearest integer?
Math A: 33
Example: What is the square root of 1491310 to the nearest integer?
Math A: 1221
Example: What is 434182 to the power of 1/10, to the nearest integer?
Math A: 4
Example: What is 237202727 to the power of 1/3, to the nearest integer?
Math A: 619
Example: What is the sixth root of 626894909 to the nearest integer?
Math A: 29
Example: What is 17662158 to the power of 1/9, to the nearest integer?
Math A: 6
Example: What is 229123 to the power of 1/2, to the nearest integer?
Math A: 479
Example: What is the third root of 4222228 to the nearest integer?
Math A: 162
Example: What is 5196 to the power of 1/5, to the nearest integer?
Math A: 6
Example: What is 758522 to the power of 1/10, to the nearest integer?
Math A: 4
Example: What is 49345 to the power of 1/3, to the nearest integer?
Math A: 37
Example: What is 464684 to the power of 1/7, to the nearest integer?
Math A: 6
Example: What is 7377555 to the power of 1/10, to the nearest integer?
Math A: 5
Example: What is the third root of 16241053 to the nearest integer?
Math A: 253
Example: What is 533712866 to the power of 1/2, to the nearest integer?
Math A: 23102
Example: What is the ninth root of 164021842 to the nearest integer?
Math A: 8
Example: What is the square root of 22320 to the nearest integer?
Math A: 149
Example: What is 244122067 to the power of 1/2, to the nearest integer?
Math A: 15624
Example: What is the cube root of 966943832 to the nearest integer?
Math A: 989
Example: What is the square root of 6766 to the nearest integer?
Math A: 82
Example: What is 11872662 to the
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measurement: conversion
-----------------------
Scenario: What is thirteen quarters of a millennium in years?
A: 3250
Scenario: Convert 766.5156 millilitres to litres.
A: 0.7665156
Scenario: Convert 86.33001 milligrams to kilograms.
A: 0.00008633001
Scenario: Convert 9.09771 years to months.
A: 109.17252
Scenario: Convert 476.3745 decades to millennia.
A: 4.763745
Scenario: How many grams are there in 11/8 of a kilogram?
A: 1375
Scenario: What is seven eighths of a microgram in nanograms?
A: 875
Scenario: What is 3/10 of a century in decades?
A: 3
Scenario: How many micrometers are there in one sixteenth of a meter?
A: 62500
Scenario: What is 8518.319 millennia in years?
A: 8518319
Scenario: How many milligrams are there in 0.0878953t?
A: 87895300
Scenario: What is 610621.7mm in micrometers?
A: 610621700
Scenario: What is 39040.17l in millilitres?
A: 39040170
Scenario: What is 0.7824302cm in meters?
A: 0.007824302
Scenario: Convert 10840.27 litres to millilitres.
A: 10840270
Scenario: How many millilitres are there in three eighths of a litre?
A: 375
Scenario: What is 6373.306nm in micrometers?
A: 6.373306
Scenario: How many millilitres are there in eighteen fifths of a litre?
A: 3600
Scenario: How many hours are there in 5739141.6 milliseconds?
A: 1.594206
Scenario: How many micrometers are there in 6/5 of a centimeter?
A: 12000
Scenario: How many millilitres are there in fifty-four fifths of a litre?
A: 10800
Scenario: What is 8085.705 days in minutes?
A: 11643415.2
Scenario: Convert 0.4758401 millilitres to litres.
A: 0.0004758401
Scenario: How many micrograms are there in 1/4 of a milligram?
A: 250
Scenario: How many decades are there in 2349597.6 months?
A: 19579.98
Scenario: How many centuries are there in 4585.892 millennia?
A: 45858.92
Scenario: How many nanograms are there in 23.79689 tonnes?
A: 23796890000000000
Scenario: What is 17/4 of a meter in centimeters?
A: 425
Scenario: How many millennia are there in 3207.406 years?
A: 3.207406
Scenario: Convert 2
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probability: swr p level set
----------------------------
Example: Three letters picked without replacement from vviiivrvvvvirr. What is prob of picking 1 v and 2 r?
Thus: 3/52
Example: What is prob of picking 1 x, 2 v, and 1 t when four letters picked without replacement from {v: 6, c: 1, x: 1, t: 2, j: 3}?
Thus: 6/143
Example: Calculate prob of picking 3 k and 1 g when four letters picked without replacement from {g: 2, k: 5}.
Thus: 4/7
Example: Three letters picked without replacement from fxxxfxxf. What is prob of picking 2 x and 1 f?
Thus: 15/28
Example: Four letters picked without replacement from {i: 11, u: 1, s: 2}. Give prob of picking 2 i and 2 s.
Thus: 5/91
Example: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {i: 2, m: 2, h: 4, a: 8, s: 3, e: 1}.
Thus: 1/95
Example: Two letters picked without replacement from {q: 1, i: 5, f: 3, a: 4, j: 1}. What is prob of picking 1 q and 1 a?
Thus: 4/91
Example: Four letters picked without replacement from aaaaaaa. What is prob of picking 4 a?
Thus: 1
Example: Four letters picked without replacement from {q: 2, u: 2, w: 1}. What is prob of picking 1 w, 1 q, and 2 u?
Thus: 2/5
Example: Two letters picked without replacement from ddoglgggg. What is prob of picking 1 g and 1 o?
Thus: 5/36
Example: What is prob of picking 2 j when two letters picked without replacement from jjjqjjjj?
Thus: 3/4
Example: Two letters picked without replacement from {s: 4, v: 4, h: 2}. What is prob of picking 2 v?
Thus: 2/15
Example: What is prob of picking 1 r and 1 e when two letters picked without replacement from {r: 5, q: 2, u: 5, e: 3}?
Thus: 1/7
Example: Four letters picked without replacement from {t: 2, g: 1, k: 2, v: 2, r: 1}. What is prob of picking 1 k, 1 t, 1 v, and 1 g?
Thus: 4/35
Example: What is prob of picking 1 x and 1 o when two letters picked without replacement from {l: 1, x: 7, o: 4, j: 2}?
Thus: 4/13
Example: Calculate prob of picking 1 i and 3 j when four letters picked without r
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probability: swr p sequence
---------------------------
Query: Four letters picked without replacement from frmrmmjmrfmm. What is prob of sequence rjfm?
Steps: 1/330
Query: Calculate prob of sequence fso when three letters picked without replacement from {t: 1, g: 1, o: 1, f: 1, s: 4}.
Steps: 1/84
Query: Calculate prob of sequence byo when three letters picked without replacement from ylookyb.
Steps: 2/105
Query: Calculate prob of sequence km when two letters picked without replacement from beekmtmmterkbk.
Steps: 9/182
Query: Four letters picked without replacement from {s: 5, e: 2, i: 7}. Give prob of sequence isse.
Steps: 5/429
Query: Calculate prob of sequence ownn when four letters picked without replacement from {z: 4, n: 9, e: 1, o: 1, t: 1, w: 1}.
Steps: 3/2380
Query: What is prob of sequence gg when two letters picked without replacement from {g: 2, a: 6, y: 1, w: 1, f: 4, d: 4}?
Steps: 1/153
Query: Two letters picked without replacement from {l: 3, r: 13}. Give prob of sequence ll.
Steps: 1/40
Query: What is prob of sequence gg when two letters picked without replacement from {s: 5, c: 1, g: 2, b: 6, l: 3}?
Steps: 1/136
Query: Calculate prob of sequence rmp when three letters picked without replacement from rmhpmpmibmrr.
Steps: 1/55
Query: Calculate prob of sequence ccm when three letters picked without replacement from {s: 1, x: 2, m: 3, c: 3, e: 2, l: 1}.
Steps: 3/220
Query: Calculate prob of sequence zo when two letters picked without replacement from ozrsoxrp.
Steps: 1/28
Query: Calculate prob of sequence uv when two letters picked without replacement from zubvyzzybuzzbbbzu.
Steps: 3/272
Query: Calculate prob of sequence aa when two letters picked without replacement from mazaa.
Steps: 3/10
Query: Three letters picked without replacement from {z: 7, c: 1, j: 1, v: 2, q: 3}. What is prob of sequence cvq?
Steps: 1/364
Query: What is prob of sequence eraa when four letters picked without replacement from {a: 4, r: 1, k: 1, q: 4, e: 5}?
Steps: 1/546
Query:
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numbers: is prime
-----------------
Topic: Is 7723030277 composite?
Therefore: False
Topic: Is 210215 a composite number?
Therefore: True
Topic: Is 66799112447 prime?
Therefore: True
Topic: Is 32569 a prime number?
Therefore: True
Topic: Is 1740637 a prime number?
Therefore: False
Topic: Is 36777094 a composite number?
Therefore: True
Topic: Is 14961 composite?
Therefore: True
Topic: Is 84629 composite?
Therefore: False
Topic: Is 502297 composite?
Therefore: True
Topic: Is 5171 prime?
Therefore: True
Topic: Is 3461102 composite?
Therefore: True
Topic: Is 4854811 composite?
Therefore: True
Topic: Is 529 composite?
Therefore: True
Topic: Is 23188841111 a prime number?
Therefore: True
Topic: Is 12490923629 a prime number?
Therefore: True
Topic: Is 473868779 a composite number?
Therefore: False
Topic: Is 4041989 prime?
Therefore: False
Topic: Is 3407 a prime number?
Therefore: True
Topic: Is 57487 composite?
Therefore: False
Topic: Is 398144447 a prime number?
Therefore: False
Topic: Is 526387 prime?
Therefore: True
Topic: Is 493753061 a composite number?
Therefore: False
Topic: Is 281495 a prime number?
Therefore: False
Topic: Is 9793205417 prime?
Therefore: True
Topic: Is 99107891 prime?
Therefore: True
Topic: Is 18980797 composite?
Therefore: True
Topic: Is 31937693 a prime number?
Therefore: True
Topic: Is 4297897 a composite number?
Therefore: False
Topic: Is 22189 prime?
Therefore: True
Topic: Is 936391 prime?
Therefore: True
Topic: Is 11625709 prime?
Therefore: False
Topic: Is 186362521 a composite number?
Therefore: True
Topic: Is 1719724603 composite?
Therefore: False
Topic: Is 8172811 a composite number?
Therefore: True
Topic: Is 100161641 prime?
Therefore: False
Topic: Is 1181615 a composite number?
Therefore: True
Topic: Is 2894 composite?
Therefore: True
Topic: Is 70812151 prime?
Therefore: True
Topic: Is 2147419 a composite number?
Therefore: False
Topic: Is 9939 prime?
Therefore: False
Topic: Is 8055779 a prime number?
Therefore: True
Topic: Is 4621 a com
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numbers: is factor
------------------
Let us solve: Is 80 a factor of 50349?
Calculation: False
Let us solve: Is 7 a factor of 161?
Calculation: True
Let us solve: Is 18898 a multiple of 22?
Calculation: True
Let us solve: Is 3736903 a multiple of 116?
Calculation: False
Let us solve: Is 12184625 a multiple of 25?
Calculation: True
Let us solve: Is 26632580 a multiple of 26?
Calculation: True
Let us solve: Does 11 divide 79771461?
Calculation: True
Let us solve: Is 79 a factor of 88322?
Calculation: True
Let us solve: Does 72 divide 198861?
Calculation: False
Let us solve: Does 692 divide 1864213400?
Calculation: True
Let us solve: Is 5 a factor of 496?
Calculation: False
Let us solve: Is 201 a factor of 1681365?
Calculation: True
Let us solve: Is 169 a factor of 104273?
Calculation: True
Let us solve: Is 736 a multiple of 16?
Calculation: True
Let us solve: Is 247 a factor of 22085?
Calculation: False
Let us solve: Does 6 divide 12762?
Calculation: True
Let us solve: Does 370 divide 1277240?
Calculation: True
Let us solve: Is 190276 a multiple of 65?
Calculation: False
Let us solve: Is 47545285 a multiple of 109?
Calculation: False
Let us solve: Is 204 a factor of 8806735?
Calculation: False
Let us solve: Does 121 divide 17061?
Calculation: True
Let us solve: Does 15 divide 8941?
Calculation: False
Let us solve: Is 80892 a multiple of 54?
Calculation: True
Let us solve: Is 1940 a factor of 201627128?
Calculation: False
Let us solve: Is 548 a factor of 9503964?
Calculation: True
Let us solve: Does 605 divide 68569490?
Calculation: True
Let us solve: Is 18 a factor of 5998?
Calculation: False
Let us solve: Does 36 divide 12066776?
Calculation: False
Let us solve: Does 339 divide 106213351?
Calculation: False
Let us solve: Does 204 divide 642565524?
Calculation: True
Let us solve: Does 1874 divide 440641116?
Calculation: True
Let us solve: Does 26 divide 65077?
Calculation: False
Let us solve: Does 72 divide 2592?
Calculation: True
Let us solve: Is 17 a factor of 1802
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numbers: place value
--------------------
Problem #: What is the hundred thousands digit of 5904431062?
Reply: 4
Problem #: What is the hundred thousands digit of 290134?
Reply: 2
Problem #: What is the units digit of 383698180?
Reply: 0
Problem #: What is the units digit of 82661?
Reply: 1
Problem #: What is the units digit of 6793?
Reply: 3
Problem #: What is the hundred thousands digit of 158878476?
Reply: 8
Problem #: What is the hundreds digit of 128794236?
Reply: 2
Problem #: What is the tens digit of 1373?
Reply: 7
Problem #: What is the tens digit of 18258?
Reply: 5
Problem #: What is the thousands digit of 64535560?
Reply: 5
Problem #: What is the millions digit of 6851390?
Reply: 6
Problem #: What is the hundred thousands digit of 105523?
Reply: 1
Problem #: What is the ten millions digit of 30547306?
Reply: 3
Problem #: What is the hundreds digit of 9932?
Reply: 9
Problem #: What is the hundred millions digit of 2081371893?
Reply: 0
Problem #: What is the thousands digit of 11231310?
Reply: 1
Problem #: What is the thousands digit of 1249?
Reply: 1
Problem #: What is the units digit of 43090539?
Reply: 9
Problem #: What is the ten thousands digit of 33427?
Reply: 3
Problem #: What is the tens digit of 1006?
Reply: 0
Problem #: What is the thousands digit of 3339640664?
Reply: 0
Problem #: What is the units digit of 848931?
Reply: 1
Problem #: What is the hundred millions digit of 3719259552?
Reply: 7
Problem #: What is the units digit of 1278336711?
Reply: 1
Problem #: What is the hundred thousands digit of 250762?
Reply: 2
Problem #: What is the ten thousands digit of 1476966?
Reply: 7
Problem #: What is the thousands digit of 73795?
Reply: 3
Problem #: What is the ten thousands digit of 33579?
Reply: 3
Problem #: What is the tens digit of 19704?
Reply: 0
Problem #: What is the tens digit of 159?
Reply: 5
Problem #: What is the units digit of 14278679?
Reply: 9
Problem #: What is the ten millions digit of 3058721560?
Reply: 5
Problem #: What is the ten t
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english
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numbers: gcd
------------
Problem: What is the greatest common factor of 468 and 684?
Eval: 36
Problem: What is the greatest common divisor of 978397010 and 23260?
Eval: 11630
Problem: What is the highest common factor of 25717026 and 986?
Eval: 58
Problem: Calculate the greatest common factor of 6 and 3276.
Eval: 6
Problem: Calculate the highest common divisor of 15600 and 295200.
Eval: 1200
Problem: Calculate the greatest common factor of 880 and 5.
Eval: 5
Problem: Calculate the greatest common factor of 14654519 and 11.
Eval: 11
Problem: What is the greatest common divisor of 10951 and 564?
Eval: 47
Problem: Calculate the greatest common factor of 255 and 2836395.
Eval: 15
Problem: What is the highest common factor of 972 and 7804?
Eval: 4
Problem: Calculate the greatest common factor of 66 and 77.
Eval: 11
Problem: Calculate the highest common factor of 392 and 10633.
Eval: 49
Problem: Calculate the highest common factor of 6150360 and 15807.
Eval: 1437
Problem: Calculate the highest common divisor of 208547 and 347.
Eval: 347
Problem: What is the greatest common divisor of 84 and 272664?
Eval: 84
Problem: What is the highest common factor of 15943 and 959113?
Eval: 149
Problem: Calculate the greatest common factor of 638 and 66.
Eval: 22
Problem: Calculate the highest common divisor of 17471648 and 1904.
Eval: 272
Problem: What is the greatest common divisor of 64 and 104?
Eval: 8
Problem: Calculate the greatest common divisor of 344 and 88.
Eval: 8
Problem: What is the highest common divisor of 14210 and 2320?
Eval: 290
Problem: What is the highest common factor of 241230752 and 112?
Eval: 112
Problem: Calculate the highest common factor of 4968 and 2323362204.
Eval: 2484
Problem: Calculate the greatest common divisor of 23 and 161.
Eval: 23
Problem: Calculate the greatest common divisor of 3885 and 26196.
Eval: 111
Problem: What is the highest common factor of 3760 and 279923540?
Eval: 940
Problem: Calculate the greatest common factor of 47118 and 6.
Eval: 6
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probability: swr p sequence
---------------------------
Problem: What is prob of sequence zc when two letters picked without replacement from zzc?
Solution: 1/3
Problem: Two letters picked without replacement from cjjccjjcbcjjcccccjcj. Give prob of sequence jb.
Solution: 2/95
Problem: Three letters picked without replacement from {e: 2, u: 1, j: 1, k: 1}. Give prob of sequence eku.
Solution: 1/30
Problem: Two letters picked without replacement from {x: 4, w: 3, k: 6, a: 2, l: 2}. Give prob of sequence ww.
Solution: 3/136
Problem: What is prob of sequence vz when two letters picked without replacement from {z: 1, y: 6, q: 2, v: 3}?
Solution: 1/44
Problem: Calculate prob of sequence zzq when three letters picked without replacement from {q: 2, x: 1, z: 3, j: 3, b: 3, m: 1}.
Solution: 1/143
Problem: Two letters picked without replacement from clvbvgbyggb. What is prob of sequence yg?
Solution: 3/110
Problem: What is prob of sequence lua when three letters picked without replacement from brbbbwbbllaalula?
Solution: 1/280
Problem: Two letters picked without replacement from hjjjjhhhjhjhjhhjhjj. Give prob of sequence jj.
Solution: 5/19
Problem: What is prob of sequence mbap when four letters picked without replacement from {m: 1, i: 3, p: 2, b: 1, y: 1, a: 3}?
Solution: 1/1320
Problem: Three letters picked without replacement from {d: 5, x: 3}. Give prob of sequence ddd.
Solution: 5/28
Problem: Two letters picked without replacement from hhahahhhhhhhhhhhhh. Give prob of sequence ah.
Solution: 16/153
Problem: What is prob of sequence oxqo when four letters picked without replacement from {q: 3, x: 4, j: 5, o: 1}?
Solution: 0
Problem: Calculate prob of sequence rrrr when four letters picked without replacement from rrrrrrrrrr.
Solution: 1
Problem: What is prob of sequence jq when two letters picked without replacement from {j: 3, l: 1, q: 10, p: 1, r: 4}?
Solution: 5/57
Problem: What is prob of sequence is when two letters picked without replacement from sftifbbiifaffababfb
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english
|
numbers: is prime
-----------------
Subquestion: Is 51271327 a composite number?
Derivation: True
Subquestion: Is 12323 composite?
Derivation: False
Subquestion: Is 513866869 composite?
Derivation: False
Subquestion: Is 2515 composite?
Derivation: True
Subquestion: Is 728779 prime?
Derivation: False
Subquestion: Is 4175227 a prime number?
Derivation: False
Subquestion: Is 13450947623 a composite number?
Derivation: True
Subquestion: Is 5309 a prime number?
Derivation: True
Subquestion: Is 56299 a composite number?
Derivation: False
Subquestion: Is 7405 a composite number?
Derivation: True
Subquestion: Is 5155 composite?
Derivation: True
Subquestion: Is 2371 a composite number?
Derivation: False
Subquestion: Is 37264488973 composite?
Derivation: False
Subquestion: Is 8891 a composite number?
Derivation: True
Subquestion: Is 14996951 composite?
Derivation: True
Subquestion: Is 25493903 a prime number?
Derivation: True
Subquestion: Is 16601693521 a prime number?
Derivation: False
Subquestion: Is 17498801 a prime number?
Derivation: True
Subquestion: Is 124164841 composite?
Derivation: False
Subquestion: Is 135321149 composite?
Derivation: False
Subquestion: Is 12845025253 composite?
Derivation: True
Subquestion: Is 47296497 a composite number?
Derivation: True
Subquestion: Is 53953 composite?
Derivation: True
Subquestion: Is 21862213 composite?
Derivation: True
Subquestion: Is 187591 prime?
Derivation: False
Subquestion: Is 74929259 prime?
Derivation: True
Subquestion: Is 110963 prime?
Derivation: False
Subquestion: Is 473377 a composite number?
Derivation: False
Subquestion: Is 4247917 composite?
Derivation: False
Subquestion: Is 1520278619 a composite number?
Derivation: True
Subquestion: Is 1609968889 a prime number?
Derivation: False
Subquestion: Is 153257 prime?
Derivation: False
Subquestion: Is 70403677 a composite number?
Derivation: True
Subquestion: Is 80983117 a prime number?
Derivation: True
Subquestion: Is 3503 prime?
Derivation: False
Subquestion: Is 56618
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english
|
numbers: div remainder
----------------------
Prompt: What is the remainder when 672 is divided by 330?
= : 12
Prompt: What is the remainder when 9403 is divided by 19?
= : 17
Prompt: Calculate the remainder when 78620 is divided by 63.
= : 59
Prompt: Calculate the remainder when 7472140 is divided by 13586.
= : 13426
Prompt: What is the remainder when 3675486 is divided by 33720?
= : 6
Prompt: Calculate the remainder when 172709278 is divided by 40.
= : 38
Prompt: Calculate the remainder when 1170 is divided by 200.
= : 170
Prompt: What is the remainder when 24335 is divided by 78?
= : 77
Prompt: Calculate the remainder when 33752588 is divided by 257.
= : 7
Prompt: Calculate the remainder when 4268 is divided by 4257.
= : 11
Prompt: Calculate the remainder when 11818528 is divided by 498.
= : 490
Prompt: What is the remainder when 2059 is divided by 69?
= : 58
Prompt: Calculate the remainder when 7385757 is divided by 3203.
= : 2842
Prompt: What is the remainder when 6371 is divided by 1591?
= : 7
Prompt: Calculate the remainder when 116 is divided by 7.
= : 4
Prompt: What is the remainder when 25155 is divided by 70?
= : 25
Prompt: What is the remainder when 49849382 is divided by 142?
= : 140
Prompt: Calculate the remainder when 103798 is divided by 43.
= : 39
Prompt: Calculate the remainder when 163 is divided by 29.
= : 18
Prompt: Calculate the remainder when 428716060 is divided by 2039.
= : 2037
Prompt: Calculate the remainder when 26441663 is divided by 93.
= : 89
Prompt: What is the remainder when 228 is divided by 56?
= : 4
Prompt: Calculate the remainder when 4040519 is divided by 1346832.
= : 23
Prompt: What is the remainder when 1080 is divided by 57?
= : 54
Prompt: What is the remainder when 11134 is divided by 192?
= : 190
Prompt: Calculate the remainder when 844396 is divided by 753.
= : 283
Prompt: What is the remainder when 252 is divided by 168?
= : 84
Prompt: Calculate the remainder when 463 is divided by 30.
= : 13
Prompt: What is the remainder
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numbers: gcd
------------
Situation: Calculate the greatest common divisor of 27 and 801.
Solution: 9
Situation: What is the highest common divisor of 312526 and 15043?
Solution: 307
Situation: Calculate the highest common divisor of 501 and 321.
Solution: 3
Situation: What is the greatest common factor of 2166 and 4?
Solution: 2
Situation: Calculate the highest common divisor of 4680 and 1499607720.
Solution: 4680
Situation: What is the greatest common divisor of 93526380 and 81?
Solution: 27
Situation: Calculate the greatest common factor of 602 and 14.
Solution: 14
Situation: What is the greatest common factor of 3525 and 1200?
Solution: 75
Situation: What is the highest common divisor of 432 and 96?
Solution: 48
Situation: What is the greatest common divisor of 242138 and 13066?
Solution: 278
Situation: Calculate the greatest common divisor of 6810 and 15030.
Solution: 30
Situation: Calculate the greatest common divisor of 406 and 2303.
Solution: 7
Situation: Calculate the greatest common factor of 436 and 25556.
Solution: 4
Situation: Calculate the greatest common factor of 1386800 and 3550.
Solution: 50
Situation: What is the greatest common factor of 63 and 168?
Solution: 21
Situation: What is the highest common divisor of 32 and 2448?
Solution: 16
Situation: Calculate the greatest common divisor of 3861558 and 27.
Solution: 9
Situation: What is the greatest common divisor of 228 and 62?
Solution: 2
Situation: What is the greatest common divisor of 21 and 41376?
Solution: 3
Situation: Calculate the greatest common factor of 806 and 99541.
Solution: 403
Situation: What is the greatest common divisor of 16984 and 4268?
Solution: 44
Situation: Calculate the greatest common factor of 1206 and 18.
Solution: 18
Situation: Calculate the highest common factor of 7802 and 332.
Solution: 166
Situation: Calculate the highest common factor of 135 and 999.
Solution: 27
Situation: What is the highest common divisor of 1080 and 120?
Solution: 120
Situation: What is the high
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english
|
numbers: is factor
------------------
Scenario: Is 10 a factor of 2296?
Steps: False
Scenario: Does 13 divide 7852?
Steps: True
Scenario: Is 615454 a multiple of 83?
Steps: False
Scenario: Does 142 divide 19170?
Steps: True
Scenario: Is 14 a factor of 54414?
Steps: False
Scenario: Is 19362 a multiple of 14?
Steps: True
Scenario: Does 11 divide 3787?
Steps: False
Scenario: Is 746 a factor of 7967654?
Steps: False
Scenario: Does 278 divide 1112?
Steps: True
Scenario: Does 1423 divide 8819006?
Steps: False
Scenario: Is 3449547 a multiple of 81?
Steps: True
Scenario: Is 1754747 a multiple of 51?
Steps: False
Scenario: Is 56 a factor of 102?
Steps: False
Scenario: Is 42857956 a multiple of 175?
Steps: False
Scenario: Does 90 divide 298338120?
Steps: True
Scenario: Is 218082480 a multiple of 240?
Steps: True
Scenario: Is 59 a factor of 188859?
Steps: True
Scenario: Is 4 a factor of 4860?
Steps: True
Scenario: Is 82 a factor of 15277010?
Steps: True
Scenario: Is 136 a factor of 442544?
Steps: True
Scenario: Is 723 a multiple of 39?
Steps: False
Scenario: Does 35 divide 193?
Steps: False
Scenario: Is 321 a factor of 838408?
Steps: False
Scenario: Is 518 a multiple of 32?
Steps: False
Scenario: Is 2350 a multiple of 50?
Steps: True
Scenario: Does 467 divide 3169062?
Steps: True
Scenario: Does 22 divide 310?
Steps: False
Scenario: Is 8293 a factor of 356010598?
Steps: False
Scenario: Is 138451142 a multiple of 18?
Steps: False
Scenario: Does 18 divide 1782?
Steps: True
Scenario: Is 37344 a multiple of 8?
Steps: True
Scenario: Is 2923 a factor of 183444557?
Steps: True
Scenario: Is 7 a factor of 3777?
Steps: False
Scenario: Is 607 a factor of 13919117?
Steps: True
Scenario: Does 29 divide 5518?
Steps: False
Scenario: Is 393 a factor of 1835355?
Steps: False
Scenario: Is 13 a factor of 146442023?
Steps: True
Scenario: Does 16 divide 816?
Steps: True
Scenario: Does 14 divide 462?
Steps: True
Scenario: Is 85760894 a multiple of 75?
Steps: False
Scenario: Does 4205 divide 12267365
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english
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arithmetic: nearest integer root
--------------------------------
Math Problem: What is 6380799 to the power of 1/6, to the nearest integer?
Final Answer: 14
Math Problem: What is 83142407 to the power of 1/7, to the nearest integer?
Final Answer: 14
Math Problem: What is 311486 to the power of 1/8, to the nearest integer?
Final Answer: 5
Math Problem: What is 789550 to the power of 1/2, to the nearest integer?
Final Answer: 889
Math Problem: What is 32579467 to the power of 1/8, to the nearest integer?
Final Answer: 9
Math Problem: What is 1220109 to the power of 1/3, to the nearest integer?
Final Answer: 107
Math Problem: What is 6424536 to the power of 1/3, to the nearest integer?
Final Answer: 186
Math Problem: What is 1244055 to the power of 1/2, to the nearest integer?
Final Answer: 1115
Math Problem: What is 861544 to the power of 1/4, to the nearest integer?
Final Answer: 30
Math Problem: What is 5312 to the power of 1/3, to the nearest integer?
Final Answer: 17
Math Problem: What is 1271 to the power of 1/9, to the nearest integer?
Final Answer: 2
Math Problem: What is the sixth root of 632511644 to the nearest integer?
Final Answer: 29
Math Problem: What is the square root of 6537 to the nearest integer?
Final Answer: 81
Math Problem: What is the cube root of 4030171 to the nearest integer?
Final Answer: 159
Math Problem: What is the square root of 1242 to the nearest integer?
Final Answer: 35
Math Problem: What is the third root of 1776988 to the nearest integer?
Final Answer: 121
Math Problem: What is 668095 to the power of 1/3, to the nearest integer?
Final Answer: 87
Math Problem: What is the third root of 4604292681 to the nearest integer?
Final Answer: 1664
Math Problem: What is the square root of 923097 to the nearest integer?
Final Answer: 961
Math Problem: What is 1504 to the power of 1/8, to the nearest integer?
Final Answer: 2
Math Problem: What is 27786488 to the power of 1/3, to the nearest integer?
Final Answer: 303
Math Problem: What is the
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english
|
numbers: place value
--------------------
Step: What is the units digit of 3084045?
Ans: 5
Step: What is the ten thousands digit of 38923?
Ans: 3
Step: What is the millions digit of 121075779?
Ans: 1
Step: What is the hundreds digit of 1837870809?
Ans: 8
Step: What is the tens digit of 62361395?
Ans: 9
Step: What is the hundreds digit of 8300?
Ans: 3
Step: What is the tens digit of 282609?
Ans: 0
Step: What is the thousands digit of 138903?
Ans: 8
Step: What is the ten thousands digit of 189645?
Ans: 8
Step: What is the thousands digit of 5625?
Ans: 5
Step: What is the thousands digit of 58509?
Ans: 8
Step: What is the hundred thousands digit of 1635523?
Ans: 6
Step: What is the millions digit of 71064368?
Ans: 1
Step: What is the tens digit of 308490942?
Ans: 4
Step: What is the tens digit of 3058395?
Ans: 9
Step: What is the hundred thousands digit of 246774?
Ans: 2
Step: What is the thousands digit of 181750?
Ans: 1
Step: What is the units digit of 6707?
Ans: 7
Step: What is the hundreds digit of 1029320?
Ans: 3
Step: What is the thousands digit of 66423?
Ans: 6
Step: What is the units digit of 23387?
Ans: 7
Step: What is the hundreds digit of 229310?
Ans: 3
Step: What is the ten millions digit of 2680259265?
Ans: 8
Step: What is the tens digit of 18175?
Ans: 7
Step: What is the hundred thousands digit of 727703?
Ans: 7
Step: What is the hundred millions digit of 1132828799?
Ans: 1
Step: What is the hundreds digit of 788?
Ans: 7
Step: What is the thousands digit of 37327?
Ans: 7
Step: What is the hundred thousands digit of 39050898?
Ans: 0
Step: What is the millions digit of 1496666?
Ans: 1
Step: What is the thousands digit of 60745384?
Ans: 5
Step: What is the tens digit of 11495435?
Ans: 3
Step: What is the tens digit of 38720345?
Ans: 4
Step: What is the hundreds digit of 1102763?
Ans: 7
Step: What is the tens digit of 2585635?
Ans: 3
Step: What is the ten millions digit of 18332552?
Ans: 1
Step: What is the tens digit of 7338?
Ans: 3
Step: What is the thousan
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english
|
numbers: gcd
------------
Prompt: What is the highest common divisor of 285062 and 46?
Response: 46
Prompt: What is the greatest common divisor of 40245 and 8?
Response: 1
Prompt: Calculate the highest common factor of 147568498 and 55.
Response: 11
Prompt: Calculate the highest common divisor of 25625 and 287.
Response: 41
Prompt: What is the highest common divisor of 55437571 and 98?
Response: 49
Prompt: What is the greatest common factor of 70 and 630?
Response: 70
Prompt: What is the greatest common factor of 124 and 4898093?
Response: 31
Prompt: Calculate the greatest common divisor of 329 and 2914.
Response: 47
Prompt: Calculate the greatest common divisor of 86230 and 17190.
Response: 10
Prompt: What is the highest common factor of 25098 and 2427456?
Response: 282
Prompt: What is the highest common factor of 110 and 30?
Response: 10
Prompt: Calculate the highest common factor of 20 and 44530.
Response: 10
Prompt: What is the greatest common divisor of 4 and 81938?
Response: 2
Prompt: What is the greatest common factor of 114 and 102?
Response: 6
Prompt: What is the greatest common factor of 180 and 45?
Response: 45
Prompt: Calculate the highest common factor of 527 and 39363619.
Response: 17
Prompt: Calculate the greatest common factor of 75834 and 10890.
Response: 198
Prompt: Calculate the greatest common divisor of 39886 and 147.
Response: 49
Prompt: Calculate the highest common divisor of 267 and 445.
Response: 89
Prompt: What is the highest common factor of 42 and 162?
Response: 6
Prompt: Calculate the greatest common factor of 85400 and 41227704.
Response: 3416
Prompt: Calculate the greatest common factor of 56 and 77396879.
Response: 7
Prompt: What is the greatest common divisor of 855 and 273315?
Response: 285
Prompt: What is the highest common factor of 79 and 711?
Response: 79
Prompt: Calculate the highest common divisor of 17883 and 382131.
Response: 9
Prompt: Calculate the highest common divisor of 49 and 1813.
Response: 49
Prompt: Calculate the hi
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english
|
numbers: place value
--------------------
Math Q: What is the thousands digit of 3370653924?
Gives: 3
Math Q: What is the tens digit of 549?
Gives: 4
Math Q: What is the tens digit of 6390?
Gives: 9
Math Q: What is the units digit of 63583320?
Gives: 0
Math Q: What is the units digit of 1706102885?
Gives: 5
Math Q: What is the hundreds digit of 665394?
Gives: 3
Math Q: What is the tens digit of 71431?
Gives: 3
Math Q: What is the thousands digit of 1381?
Gives: 1
Math Q: What is the hundred thousands digit of 6500058?
Gives: 5
Math Q: What is the ten millions digit of 2000519348?
Gives: 0
Math Q: What is the hundreds digit of 491425862?
Gives: 8
Math Q: What is the hundred thousands digit of 1237533?
Gives: 2
Math Q: What is the thousands digit of 3978?
Gives: 3
Math Q: What is the tens digit of 1373?
Gives: 7
Math Q: What is the units digit of 77832?
Gives: 2
Math Q: What is the ten millions digit of 33612116?
Gives: 3
Math Q: What is the ten millions digit of 118837828?
Gives: 1
Math Q: What is the hundreds digit of 12098483?
Gives: 4
Math Q: What is the ten millions digit of 182628732?
Gives: 8
Math Q: What is the ten millions digit of 5175638243?
Gives: 7
Math Q: What is the tens digit of 9333994?
Gives: 9
Math Q: What is the tens digit of 2632?
Gives: 3
Math Q: What is the tens digit of 3172?
Gives: 7
Math Q: What is the tens digit of 92325?
Gives: 2
Math Q: What is the ten thousands digit of 138486?
Gives: 3
Math Q: What is the hundred thousands digit of 7983492?
Gives: 9
Math Q: What is the tens digit of 46901079?
Gives: 7
Math Q: What is the tens digit of 126869?
Gives: 6
Math Q: What is the ten thousands digit of 592097?
Gives: 9
Math Q: What is the ten thousands digit of 29815689?
Gives: 1
Math Q: What is the hundreds digit of 127294?
Gives: 2
Math Q: What is the tens digit of 89203?
Gives: 0
Math Q: What is the thousands digit of 2922582?
Gives: 2
Math Q: What is the units digit of 3463964?
Gives: 4
Math Q: What is the ten thousands digit of 32497?
Gives:
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english
|
numbers: place value
--------------------
Exercise: What is the hundreds digit of 3102?
Steps: 1
Exercise: What is the units digit of 47598?
Steps: 8
Exercise: What is the units digit of 411?
Steps: 1
Exercise: What is the millions digit of 19837879?
Steps: 9
Exercise: What is the ten thousands digit of 74610?
Steps: 7
Exercise: What is the hundred thousands digit of 918030?
Steps: 9
Exercise: What is the ten thousands digit of 2162941?
Steps: 6
Exercise: What is the hundred millions digit of 1059758445?
Steps: 0
Exercise: What is the ten thousands digit of 44220772?
Steps: 2
Exercise: What is the hundreds digit of 3836?
Steps: 8
Exercise: What is the tens digit of 4193?
Steps: 9
Exercise: What is the ten thousands digit of 54709871?
Steps: 0
Exercise: What is the tens digit of 10203128?
Steps: 2
Exercise: What is the thousands digit of 1281?
Steps: 1
Exercise: What is the ten millions digit of 3192527434?
Steps: 9
Exercise: What is the tens digit of 278?
Steps: 7
Exercise: What is the ten thousands digit of 94010?
Steps: 9
Exercise: What is the thousands digit of 26800?
Steps: 6
Exercise: What is the units digit of 3231656478?
Steps: 8
Exercise: What is the tens digit of 713534276?
Steps: 7
Exercise: What is the tens digit of 74370?
Steps: 7
Exercise: What is the thousands digit of 3995?
Steps: 3
Exercise: What is the ten thousands digit of 1273963?
Steps: 7
Exercise: What is the millions digit of 163300390?
Steps: 3
Exercise: What is the ten thousands digit of 18612?
Steps: 1
Exercise: What is the ten millions digit of 892564034?
Steps: 9
Exercise: What is the thousands digit of 29555848?
Steps: 5
Exercise: What is the tens digit of 49226054?
Steps: 5
Exercise: What is the thousands digit of 47458839?
Steps: 8
Exercise: What is the units digit of 3730044?
Steps: 4
Exercise: What is the ten thousands digit of 882942?
Steps: 8
Exercise: What is the tens digit of 364?
Steps: 6
Exercise: What is the thousands digit of 190481523?
Steps: 1
Exercise: What is the hundreds
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english
|
numbers: gcd
------------
Exercise: Calculate the highest common divisor of 1170 and 2070.
Sol: 90
Exercise: What is the greatest common divisor of 42436 and 309?
Sol: 103
Exercise: What is the highest common divisor of 8157 and 6?
Sol: 3
Exercise: Calculate the greatest common divisor of 414 and 46.
Sol: 46
Exercise: What is the highest common factor of 951 and 6423?
Sol: 3
Exercise: What is the highest common divisor of 16625 and 28875250?
Sol: 2375
Exercise: What is the highest common divisor of 75818 and 1002?
Sol: 334
Exercise: Calculate the greatest common factor of 16768224 and 20619.
Sol: 711
Exercise: What is the greatest common factor of 106392 and 88?
Sol: 88
Exercise: What is the greatest common divisor of 6 and 6?
Sol: 6
Exercise: What is the greatest common divisor of 258 and 301?
Sol: 43
Exercise: Calculate the highest common factor of 2169 and 450.
Sol: 9
Exercise: What is the highest common factor of 4686 and 174234?
Sol: 426
Exercise: Calculate the greatest common factor of 135930872 and 616.
Sol: 616
Exercise: What is the greatest common divisor of 6 and 1866?
Sol: 6
Exercise: What is the highest common factor of 2134 and 1552?
Sol: 194
Exercise: What is the greatest common divisor of 121361 and 3092?
Sol: 773
Exercise: Calculate the greatest common factor of 96 and 156.
Sol: 12
Exercise: What is the highest common divisor of 2537 and 43?
Sol: 43
Exercise: Calculate the greatest common factor of 481 and 2249.
Sol: 13
Exercise: Calculate the highest common divisor of 33 and 7249.
Sol: 11
Exercise: What is the greatest common divisor of 3987 and 4617?
Sol: 9
Exercise: What is the highest common divisor of 100 and 590?
Sol: 10
Exercise: What is the greatest common divisor of 38 and 59299?
Sol: 19
Exercise: What is the highest common factor of 1924 and 20706569?
Sol: 481
Exercise: Calculate the highest common factor of 918 and 1565496.
Sol: 306
Exercise: Calculate the highest common factor of 180 and 3260.
Sol: 20
Exercise: What is the greatest common
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numbers: gcd
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Step: What is the highest common factor of 1431 and 10356147?
Clarification: 1431
Step: What is the highest common divisor of 714 and 1734?
Clarification: 102
Step: What is the highest common factor of 27 and 7389?
Clarification: 9
Step: Calculate the greatest common divisor of 126065 and 1235.
Clarification: 95
Step: What is the greatest common divisor of 2307942 and 936?
Clarification: 234
Step: What is the greatest common factor of 15 and 6795?
Clarification: 15
Step: What is the highest common factor of 5809647 and 32088?
Clarification: 573
Step: Calculate the highest common divisor of 44038 and 5238.
Clarification: 194
Step: What is the greatest common divisor of 763 and 274603?
Clarification: 7
Step: What is the highest common factor of 20 and 39945970?
Clarification: 10
Step: Calculate the highest common factor of 3230 and 133.
Clarification: 19
Step: Calculate the highest common factor of 33 and 8827093.
Clarification: 11
Step: What is the greatest common factor of 2139 and 2077?
Clarification: 31
Step: Calculate the highest common factor of 21 and 483.
Clarification: 21
Step: What is the highest common divisor of 12752335 and 45?
Clarification: 5
Step: Calculate the highest common divisor of 9 and 201.
Clarification: 3
Step: Calculate the highest common factor of 576 and 1488.
Clarification: 48
Step: What is the highest common factor of 374 and 15521?
Clarification: 187
Step: What is the highest common factor of 2428 and 1814126332?
Clarification: 2428
Step: Calculate the highest common factor of 82 and 8938.
Clarification: 82
Step: What is the greatest common factor of 13311 and 87?
Clarification: 87
Step: What is the greatest common divisor of 138310168 and 12016?
Clarification: 6008
Step: What is the greatest common factor of 3 and 7017?
Clarification: 3
Step: Calculate the greatest common divisor of 1157870 and 357.
Clarification: 119
Step: What is the greatest common factor of 21270128 and 578?
Clarification: 34
Step: Calculat
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arithmetic: nearest integer root
--------------------------------
Issue: What is the square root of 13419758 to the nearest integer?
Fix: 3663
Issue: What is 28591 to the power of 1/4, to the nearest integer?
Fix: 13
Issue: What is 13295 to the power of 1/6, to the nearest integer?
Fix: 5
Issue: What is 38765755 to the power of 1/3, to the nearest integer?
Fix: 338
Issue: What is 45091613 to the power of 1/3, to the nearest integer?
Fix: 356
Issue: What is the square root of 558986 to the nearest integer?
Fix: 748
Issue: What is 3760568 to the power of 1/2, to the nearest integer?
Fix: 1939
Issue: What is the cube root of 11778029 to the nearest integer?
Fix: 228
Issue: What is the sixth root of 25653 to the nearest integer?
Fix: 5
Issue: What is 606 to the power of 1/6, to the nearest integer?
Fix: 3
Issue: What is the square root of 1675408 to the nearest integer?
Fix: 1294
Issue: What is 7492625 to the power of 1/5, to the nearest integer?
Fix: 24
Issue: What is the third root of 1298 to the nearest integer?
Fix: 11
Issue: What is the sixth root of 2020551 to the nearest integer?
Fix: 11
Issue: What is the fourth root of 424 to the nearest integer?
Fix: 5
Issue: What is the sixth root of 26708 to the nearest integer?
Fix: 5
Issue: What is the sixth root of 755690575 to the nearest integer?
Fix: 30
Issue: What is the third root of 48679321 to the nearest integer?
Fix: 365
Issue: What is the fifth root of 372860 to the nearest integer?
Fix: 13
Issue: What is 471 to the power of 1/4, to the nearest integer?
Fix: 5
Issue: What is the fifth root of 507548 to the nearest integer?
Fix: 14
Issue: What is the third root of 1120935 to the nearest integer?
Fix: 104
Issue: What is the fourth root of 570051 to the nearest integer?
Fix: 27
Issue: What is the cube root of 156935 to the nearest integer?
Fix: 54
Issue: What is the third root of 2041912 to the nearest integer?
Fix: 127
Issue: What is 203280 to the power of 1/2, to the nearest integer?
Fix: 451
Issue: What is 51276
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probability: swr p level set
----------------------------
Statement: Two letters picked without replacement from xkkkkqxqqrkqxkqqx. What is prob of picking 2 k?
Soln: 15/136
Statement: Two letters picked without replacement from {c: 1, h: 19}. What is prob of picking 1 c and 1 h?
Soln: 1/10
Statement: Calculate prob of picking 2 l when two letters picked without replacement from qqcqqllqqq.
Soln: 1/45
Statement: What is prob of picking 1 l and 2 k when three letters picked without replacement from {n: 2, b: 3, k: 8, l: 3}?
Soln: 3/20
Statement: Two letters picked without replacement from eielelnnelelleeni. Give prob of picking 2 l.
Soln: 5/68
Statement: What is prob of picking 1 p and 2 e when three letters picked without replacement from {l: 4, m: 5, e: 6, x: 1, p: 4}?
Soln: 1/19
Statement: Three letters picked without replacement from {w: 11, j: 5, g: 1, n: 2}. What is prob of picking 1 n and 2 j?
Soln: 20/969
Statement: Three letters picked without replacement from {d: 1, b: 6, s: 1, q: 3, z: 4}. What is prob of picking 2 z and 1 q?
Soln: 18/455
Statement: Four letters picked without replacement from {s: 2, b: 4, e: 10}. What is prob of picking 1 e and 3 b?
Soln: 2/91
Statement: Calculate prob of picking 2 n when two letters picked without replacement from nnq.
Soln: 1/3
Statement: What is prob of picking 1 f and 1 x when two letters picked without replacement from jfjfjxffjffmf?
Soln: 7/78
Statement: Two letters picked without replacement from {h: 1, w: 1, t: 2, q: 3}. Give prob of picking 1 t and 1 h.
Soln: 2/21
Statement: Two letters picked without replacement from gvvxxjxglg. Give prob of picking 1 j and 1 l.
Soln: 1/45
Statement: Three letters picked without replacement from {z: 3, y: 3, b: 7, n: 2}. What is prob of picking 1 n and 2 b?
Soln: 6/65
Statement: Three letters picked without replacement from ssvvfvssisisssfsii. Give prob of picking 1 i, 1 f, and 1 v.
Soln: 1/34
Statement: Two letters picked without replacement from ojjajjjoaqqqjaq. What is prob o
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probability: swr p level set
----------------------------
Step: Two letters picked without replacement from phlbwlhwwyllwwlphbw. Give prob of picking 1 y and 1 p.
Finding: 2/171
Step: Three letters picked without replacement from duqjjfddjjduddjdjjqd. Give prob of picking 1 u and 2 q.
Finding: 1/570
Step: Calculate prob of picking 1 i, 1 f, and 2 p when four letters picked without replacement from fhfiphphhhhhh.
Finding: 2/715
Step: Four letters picked without replacement from vzzzavazzzzaazzzaaz. Give prob of picking 1 a, 2 v, and 1 z.
Finding: 11/646
Step: What is prob of picking 1 w, 1 r, and 2 a when four letters picked without replacement from {w: 1, a: 2, r: 9, t: 3, l: 3}?
Finding: 1/340
Step: Four letters picked without replacement from hwhwdadadwmdaddh. What is prob of picking 2 h, 1 a, and 1 d?
Finding: 27/910
Step: Four letters picked without replacement from {z: 7, x: 3, p: 1, h: 1, a: 1}. What is prob of picking 1 p and 3 z?
Finding: 7/143
Step: What is prob of picking 2 d when two letters picked without replacement from jsdjssjsjjssjssjsjj?
Finding: 0
Step: Four letters picked without replacement from bhblbbbbhjbj. What is prob of picking 2 b and 2 h?
Finding: 7/165
Step: Two letters picked without replacement from jawab. Give prob of picking 1 w and 1 j.
Finding: 1/10
Step: What is prob of picking 1 k and 1 u when two letters picked without replacement from {u: 6, l: 10, n: 2, k: 2}?
Finding: 6/95
Step: Two letters picked without replacement from {p: 1, e: 2, d: 1, n: 1, c: 1, z: 2}. Give prob of picking 1 c and 1 n.
Finding: 1/28
Step: Two letters picked without replacement from {z: 2, i: 1, g: 3, o: 6, h: 1, y: 2}. What is prob of picking 2 g?
Finding: 1/35
Step: What is prob of picking 4 u when four letters picked without replacement from {l: 5, u: 4, i: 2}?
Finding: 1/330
Step: Calculate prob of picking 2 e when two letters picked without replacement from bkkkqjqbjjjjeje.
Finding: 1/105
Step: What is prob of picking 1 t, 1 j, and 1 n when three le
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numbers: div remainder
----------------------
Exercise: Calculate the remainder when 975 is divided by 19.
Workthrough: 6
Exercise: Calculate the remainder when 56645 is divided by 73.
Workthrough: 70
Exercise: What is the remainder when 84550 is divided by 158?
Workthrough: 20
Exercise: What is the remainder when 1471 is divided by 5?
Workthrough: 1
Exercise: Calculate the remainder when 114882 is divided by 894.
Workthrough: 450
Exercise: What is the remainder when 3508170 is divided by 289?
Workthrough: 288
Exercise: What is the remainder when 68 is divided by 9?
Workthrough: 5
Exercise: What is the remainder when 54401 is divided by 144?
Workthrough: 113
Exercise: Calculate the remainder when 398 is divided by 53.
Workthrough: 27
Exercise: What is the remainder when 15255 is divided by 372?
Workthrough: 3
Exercise: Calculate the remainder when 8773 is divided by 515.
Workthrough: 18
Exercise: Calculate the remainder when 277 is divided by 54.
Workthrough: 7
Exercise: What is the remainder when 22942 is divided by 4587?
Workthrough: 7
Exercise: Calculate the remainder when 252 is divided by 5.
Workthrough: 2
Exercise: Calculate the remainder when 1847 is divided by 50.
Workthrough: 47
Exercise: Calculate the remainder when 5609 is divided by 1293.
Workthrough: 437
Exercise: Calculate the remainder when 153617 is divided by 543.
Workthrough: 491
Exercise: Calculate the remainder when 116223 is divided by 115796.
Workthrough: 427
Exercise: What is the remainder when 64089 is divided by 10676?
Workthrough: 33
Exercise: Calculate the remainder when 11317 is divided by 3126.
Workthrough: 1939
Exercise: What is the remainder when 12779650 is divided by 107?
Workthrough: 105
Exercise: What is the remainder when 204 is divided by 54?
Workthrough: 42
Exercise: Calculate the remainder when 15999 is divided by 1333.
Workthrough: 3
Exercise: Calculate the remainder when 25634 is divided by 1068.
Workthrough: 2
Exercise: Calculate the remainder when 152812 is divided by 21797
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probability: swr p sequence
---------------------------
Ask: What is prob of sequence zzz when three letters picked without replacement from kzzzzzzzzzzzzzzzkzz?
Yields: 40/57
Ask: What is prob of sequence vo when two letters picked without replacement from mmjvaajjjajo?
Yields: 1/132
Ask: What is prob of sequence hh when two letters picked without replacement from {h: 11, e: 6, i: 1}?
Yields: 55/153
Ask: What is prob of sequence qdq when three letters picked without replacement from qgqqgqdqdgqqggq?
Yields: 8/195
Ask: What is prob of sequence uz when two letters picked without replacement from {u: 9, z: 3}?
Yields: 9/44
Ask: Two letters picked without replacement from {o: 3, p: 4, s: 1, d: 2}. What is prob of sequence od?
Yields: 1/15
Ask: Calculate prob of sequence tma when three letters picked without replacement from mamathaoaoaao.
Yields: 1/143
Ask: Two letters picked without replacement from {c: 2, a: 3, w: 6, u: 2}. Give prob of sequence ca.
Yields: 1/26
Ask: Three letters picked without replacement from {m: 1, y: 1, t: 1, r: 2, i: 2}. What is prob of sequence yri?
Yields: 2/105
Ask: Four letters picked without replacement from kzskhhkyk. What is prob of sequence skyk?
Yields: 1/252
Ask: Calculate prob of sequence aaaq when four letters picked without replacement from aqaaqaaaaaa.
Yields: 7/55
Ask: What is prob of sequence av when two letters picked without replacement from {v: 2, a: 3}?
Yields: 3/10
Ask: Four letters picked without replacement from idcwlgwc. What is prob of sequence dclg?
Yields: 1/840
Ask: Four letters picked without replacement from inhhkiknthnhin. Give prob of sequence hkhn.
Yields: 4/1001
Ask: Four letters picked without replacement from {p: 2, l: 1, c: 1, u: 1, t: 2, j: 1}. Give prob of sequence upjt.
Yields: 1/420
Ask: Three letters picked without replacement from gtggtfaaasn. What is prob of sequence tft?
Yields: 1/495
Ask: What is prob of sequence crh when three letters picked without replacement from chrrrrqrrrhrcrrqrqqr?
Yields: 2/
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numbers: place value
--------------------
Exercise: What is the units digit of 88591?
Ans: 1
Exercise: What is the hundred thousands digit of 13939657?
Ans: 9
Exercise: What is the tens digit of 33675416?
Ans: 1
Exercise: What is the hundreds digit of 955?
Ans: 9
Exercise: What is the ten thousands digit of 179197?
Ans: 7
Exercise: What is the units digit of 2062659?
Ans: 9
Exercise: What is the hundred thousands digit of 2140576?
Ans: 1
Exercise: What is the tens digit of 734479?
Ans: 7
Exercise: What is the units digit of 4368?
Ans: 8
Exercise: What is the hundreds digit of 1050921?
Ans: 9
Exercise: What is the tens digit of 421640?
Ans: 4
Exercise: What is the hundreds digit of 626256787?
Ans: 7
Exercise: What is the tens digit of 819?
Ans: 1
Exercise: What is the thousands digit of 20759?
Ans: 0
Exercise: What is the ten millions digit of 2473139357?
Ans: 7
Exercise: What is the units digit of 418122?
Ans: 2
Exercise: What is the thousands digit of 485263?
Ans: 5
Exercise: What is the hundred thousands digit of 2902366?
Ans: 9
Exercise: What is the hundreds digit of 3272?
Ans: 2
Exercise: What is the units digit of 5107?
Ans: 7
Exercise: What is the hundred thousands digit of 4283550050?
Ans: 5
Exercise: What is the ten millions digit of 15821954?
Ans: 1
Exercise: What is the ten thousands digit of 73112?
Ans: 7
Exercise: What is the thousands digit of 2221759?
Ans: 1
Exercise: What is the units digit of 10622?
Ans: 2
Exercise: What is the tens digit of 17373884?
Ans: 8
Exercise: What is the tens digit of 774?
Ans: 7
Exercise: What is the hundred millions digit of 3663988167?
Ans: 6
Exercise: What is the thousands digit of 33169504?
Ans: 9
Exercise: What is the ten thousands digit of 89013?
Ans: 8
Exercise: What is the units digit of 1595?
Ans: 5
Exercise: What is the ten thousands digit of 8004932?
Ans: 0
Exercise: What is the tens digit of 70197137?
Ans: 3
Exercise: What is the hundreds digit of 125483515?
Ans: 5
Exercise: What is the units digit of 5502?
Ans:
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numbers: lcm
------------
Problem Statement: What is the common denominator of -145/108 and -59/120?
Ans: 1080
Problem Statement: Calculate the lowest common multiple of 398193 and 663655.
Ans: 1990965
Problem Statement: Find the common denominator of -12/55 and 67/154825.
Ans: 154825
Problem Statement: Calculate the lowest common multiple of 10944 and 57.
Ans: 10944
Problem Statement: Find the common denominator of -167/3666 and -127/1416.
Ans: 865176
Problem Statement: Calculate the smallest common multiple of 52008 and 55.
Ans: 260040
Problem Statement: What is the lowest common multiple of 40 and 168?
Ans: 840
Problem Statement: What is the least common multiple of 5 and 176828?
Ans: 884140
Problem Statement: Find the common denominator of 47/4 and -119/10536.
Ans: 10536
Problem Statement: What is the least common multiple of 2050614 and 11164454?
Ans: 100480086
Problem Statement: Calculate the least common multiple of 1237605 and 255.
Ans: 21039285
Problem Statement: What is the least common multiple of 216 and 39?
Ans: 2808
Problem Statement: Calculate the common denominator of 57/22 and 45/2654.
Ans: 29194
Problem Statement: Find the common denominator of 81/660538 and 17/772970.
Ans: 36329590
Problem Statement: Calculate the lowest common multiple of 6 and 48.
Ans: 48
Problem Statement: Find the common denominator of -53/435721 and -17/154364067.
Ans: 1698004737
Problem Statement: Find the common denominator of -133/324 and 49/15.
Ans: 1620
Problem Statement: Find the common denominator of -33/37519 and -4/306773.
Ans: 5215141
Problem Statement: Calculate the lowest common multiple of 143 and 2803.
Ans: 400829
Problem Statement: Calculate the least common multiple of 114 and 24.
Ans: 456
Problem Statement: Find the common denominator of 6/5 and -23/441.
Ans: 2205
Problem Statement: Calculate the least common multiple of 1268752 and 6.
Ans: 3806256
Problem Statement: What is the least common multiple of 360 and 3398550?
Ans: 40782600
Problem Statement: What i
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probability: swr p sequence
---------------------------
Given: Calculate prob of sequence qqw when three letters picked without replacement from qqgsbqasbaqaqqaaqsqw.
Workthrough: 7/855
Given: Calculate prob of sequence yy when two letters picked without replacement from {x: 5, y: 9}.
Workthrough: 36/91
Given: Two letters picked without replacement from {o: 5, j: 1, u: 1, m: 2}. Give prob of sequence oo.
Workthrough: 5/18
Given: Four letters picked without replacement from aafarakaaakafarfqrak. Give prob of sequence fqka.
Workthrough: 1/1292
Given: Calculate prob of sequence tt when two letters picked without replacement from {m: 9, r: 1, t: 9}.
Workthrough: 4/19
Given: What is prob of sequence qb when two letters picked without replacement from {f: 5, b: 1, d: 1, s: 4, t: 1, q: 1}?
Workthrough: 1/156
Given: Two letters picked without replacement from vbbbbbbb. What is prob of sequence bb?
Workthrough: 3/4
Given: Three letters picked without replacement from chchzccccc. Give prob of sequence hhc.
Workthrough: 7/360
Given: Four letters picked without replacement from jjjjjj. What is prob of sequence jjjj?
Workthrough: 1
Given: Two letters picked without replacement from {y: 1, t: 2, u: 1, q: 2, x: 2}. Give prob of sequence qu.
Workthrough: 1/28
Given: What is prob of sequence yyy when three letters picked without replacement from iyfaqfyqafahfhyh?
Workthrough: 1/560
Given: Two letters picked without replacement from kkkhkzkhkzkkhhzzhhk. What is prob of sequence kz?
Workthrough: 2/19
Given: Two letters picked without replacement from pplllplplglppppw. Give prob of sequence ll.
Workthrough: 1/8
Given: Calculate prob of sequence fl when two letters picked without replacement from {h: 2, f: 1, l: 1}.
Workthrough: 1/12
Given: Four letters picked without replacement from {s: 8, u: 2, r: 1, b: 3, n: 1, k: 1}. What is prob of sequence bbnk?
Workthrough: 1/7280
Given: Calculate prob of sequence cw when two letters picked without replacement from ciwic.
Workthrough: 1/10
Given
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numbers: is prime
-----------------
Exercise: Is 9246773 a composite number?
Yields: True
Exercise: Is 402821891 composite?
Yields: True
Exercise: Is 917751707 a prime number?
Yields: True
Exercise: Is 984513 a composite number?
Yields: True
Exercise: Is 167507 a composite number?
Yields: True
Exercise: Is 3087329303 a prime number?
Yields: True
Exercise: Is 50055139891 a composite number?
Yields: False
Exercise: Is 1096483 a composite number?
Yields: True
Exercise: Is 32804719 a composite number?
Yields: True
Exercise: Is 30742387 a prime number?
Yields: False
Exercise: Is 186474373 a composite number?
Yields: False
Exercise: Is 1870814357 composite?
Yields: False
Exercise: Is 696551 a prime number?
Yields: False
Exercise: Is 783982679 a composite number?
Yields: True
Exercise: Is 3193177 a composite number?
Yields: True
Exercise: Is 15630239 a prime number?
Yields: False
Exercise: Is 828049 a composite number?
Yields: True
Exercise: Is 4049 composite?
Yields: False
Exercise: Is 1390704307 prime?
Yields: True
Exercise: Is 220596107 prime?
Yields: True
Exercise: Is 2160959 a prime number?
Yields: False
Exercise: Is 23999722193 composite?
Yields: False
Exercise: Is 918805 a prime number?
Yields: False
Exercise: Is 3955561 a prime number?
Yields: True
Exercise: Is 8884604249 a prime number?
Yields: True
Exercise: Is 579263 prime?
Yields: True
Exercise: Is 7583 composite?
Yields: False
Exercise: Is 1264789 a composite number?
Yields: True
Exercise: Is 851066429 a composite number?
Yields: False
Exercise: Is 45839 a composite number?
Yields: True
Exercise: Is 229784731 composite?
Yields: True
Exercise: Is 369406183 composite?
Yields: False
Exercise: Is 45794429 composite?
Yields: False
Exercise: Is 74401841 composite?
Yields: True
Exercise: Is 743549 prime?
Yields: True
Exercise: Is 1775219 composite?
Yields: False
Exercise: Is 794351 a composite number?
Yields: True
Exercise: Is 115294389809 a prime number?
Yields: False
Exercise: Is 217009005607 a composite number?
Yi
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probability: swr p sequence
---------------------------
Q-: Calculate prob of sequence grie when four letters picked without replacement from {r: 1, e: 1, i: 1, w: 1, g: 1}.
Conclusion: 1/120
Q-: Three letters picked without replacement from hjhhjhhhhhhhhj. What is prob of sequence jhh?
Conclusion: 55/364
Q-: Four letters picked without replacement from {b: 3, d: 3}. What is prob of sequence dbdd?
Conclusion: 1/20
Q-: Three letters picked without replacement from caccaaa. What is prob of sequence ccc?
Conclusion: 1/35
Q-: What is prob of sequence xs when two letters picked without replacement from {s: 5, a: 10, j: 4, x: 1}?
Conclusion: 1/76
Q-: What is prob of sequence ycy when three letters picked without replacement from {r: 2, y: 4, c: 2, l: 6, i: 1}?
Conclusion: 4/455
Q-: Calculate prob of sequence afk when three letters picked without replacement from {k: 1, j: 3, y: 1, f: 1, i: 2, a: 5}.
Conclusion: 5/1716
Q-: Two letters picked without replacement from vvhg. What is prob of sequence gh?
Conclusion: 1/12
Q-: Calculate prob of sequence bzz when three letters picked without replacement from {b: 3, z: 4}.
Conclusion: 6/35
Q-: Calculate prob of sequence opdt when four letters picked without replacement from ojjjptdtppjb.
Conclusion: 1/1980
Q-: Two letters picked without replacement from {y: 1, u: 1, p: 1}. Give prob of sequence pu.
Conclusion: 1/6
Q-: What is prob of sequence ooo when three letters picked without replacement from ooooooo?
Conclusion: 1
Q-: What is prob of sequence iiz when three letters picked without replacement from {x: 8, n: 2, p: 1, z: 2, i: 7}?
Conclusion: 7/570
Q-: Two letters picked without replacement from fbfbuuff. Give prob of sequence uu.
Conclusion: 1/28
Q-: Two letters picked without replacement from pymmppyyypmyy. What is prob of sequence mp?
Conclusion: 1/13
Q-: What is prob of sequence nwwf when four letters picked without replacement from nmmnwmmmwnqmmqfnnm?
Conclusion: 1/7344
Q-: Three letters picked without replacement from hhpu
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numbers: place value
--------------------
Prompt: What is the units digit of 17966443?
Therefore: 3
Prompt: What is the units digit of 30368?
Therefore: 8
Prompt: What is the tens digit of 557?
Therefore: 5
Prompt: What is the tens digit of 1381656?
Therefore: 5
Prompt: What is the hundred thousands digit of 407218?
Therefore: 4
Prompt: What is the hundreds digit of 9528?
Therefore: 5
Prompt: What is the tens digit of 500?
Therefore: 0
Prompt: What is the thousands digit of 21528?
Therefore: 1
Prompt: What is the thousands digit of 8870?
Therefore: 8
Prompt: What is the tens digit of 511?
Therefore: 1
Prompt: What is the thousands digit of 5971258?
Therefore: 1
Prompt: What is the millions digit of 240264120?
Therefore: 0
Prompt: What is the ten millions digit of 544073494?
Therefore: 4
Prompt: What is the ten millions digit of 36572085?
Therefore: 3
Prompt: What is the tens digit of 75?
Therefore: 7
Prompt: What is the hundreds digit of 332?
Therefore: 3
Prompt: What is the hundreds digit of 797?
Therefore: 7
Prompt: What is the millions digit of 7561041?
Therefore: 7
Prompt: What is the units digit of 158864?
Therefore: 4
Prompt: What is the ten thousands digit of 134717?
Therefore: 3
Prompt: What is the units digit of 3341?
Therefore: 1
Prompt: What is the ten millions digit of 11880010?
Therefore: 1
Prompt: What is the hundred thousands digit of 261848?
Therefore: 2
Prompt: What is the hundred millions digit of 1690773529?
Therefore: 6
Prompt: What is the millions digit of 68089560?
Therefore: 8
Prompt: What is the millions digit of 742604995?
Therefore: 2
Prompt: What is the thousands digit of 35707?
Therefore: 5
Prompt: What is the ten thousands digit of 358887?
Therefore: 5
Prompt: What is the units digit of 67340?
Therefore: 0
Prompt: What is the hundred millions digit of 196730542?
Therefore: 1
Prompt: What is the hundreds digit of 2856?
Therefore: 8
Prompt: What is the units digit of 1668520332?
Therefore: 2
Prompt: What is the thousands digit of 10997?
Th
|
english
|
numbers: place value
--------------------
Math Q: What is the thousands digit of 12291443?
Response: 1
Math Q: What is the hundreds digit of 765?
Response: 7
Math Q: What is the units digit of 166?
Response: 6
Math Q: What is the ten thousands digit of 38568132?
Response: 6
Math Q: What is the millions digit of 2129389?
Response: 2
Math Q: What is the millions digit of 15721727?
Response: 5
Math Q: What is the tens digit of 16351148?
Response: 4
Math Q: What is the ten millions digit of 297072695?
Response: 9
Math Q: What is the ten millions digit of 27865519?
Response: 2
Math Q: What is the hundreds digit of 5206?
Response: 2
Math Q: What is the thousands digit of 4736?
Response: 4
Math Q: What is the units digit of 5045?
Response: 5
Math Q: What is the thousands digit of 13391?
Response: 3
Math Q: What is the thousands digit of 667047?
Response: 7
Math Q: What is the hundred thousands digit of 338433?
Response: 3
Math Q: What is the hundred thousands digit of 1172997?
Response: 1
Math Q: What is the ten millions digit of 2639518992?
Response: 3
Math Q: What is the tens digit of 1657?
Response: 5
Math Q: What is the ten thousands digit of 8231093?
Response: 3
Math Q: What is the hundreds digit of 19453387?
Response: 3
Math Q: What is the hundreds digit of 5438360?
Response: 3
Math Q: What is the thousands digit of 3838?
Response: 3
Math Q: What is the thousands digit of 7720?
Response: 7
Math Q: What is the ten thousands digit of 200855375?
Response: 5
Math Q: What is the ten thousands digit of 687266?
Response: 8
Math Q: What is the thousands digit of 147987?
Response: 7
Math Q: What is the thousands digit of 60121?
Response: 0
Math Q: What is the units digit of 25841?
Response: 1
Math Q: What is the units digit of 92855246?
Response: 6
Math Q: What is the units digit of 6893?
Response: 3
Math Q: What is the ten thousands digit of 830870?
Response: 3
Math Q: What is the tens digit of 42261?
Response: 6
Math Q: What is the ten millions digit of 95398152?
Response:
|
english
|
numbers: is prime
-----------------
Let us solve: Is 791443799 a composite number?
A: False
Let us solve: Is 20089737193 a composite number?
A: False
Let us solve: Is 93564581161 a prime number?
A: True
Let us solve: Is 157016031 composite?
A: True
Let us solve: Is 325709 composite?
A: False
Let us solve: Is 6671 a composite number?
A: True
Let us solve: Is 1881251 composite?
A: True
Let us solve: Is 493 a composite number?
A: True
Let us solve: Is 152335 a composite number?
A: True
Let us solve: Is 207923 prime?
A: True
Let us solve: Is 11372203 composite?
A: True
Let us solve: Is 46571 prime?
A: False
Let us solve: Is 1839833 prime?
A: True
Let us solve: Is 25819 composite?
A: False
Let us solve: Is 393257 a prime number?
A: True
Let us solve: Is 72057 a prime number?
A: False
Let us solve: Is 2261267 a composite number?
A: False
Let us solve: Is 14699 a prime number?
A: True
Let us solve: Is 190415 prime?
A: False
Let us solve: Is 7889767297 a composite number?
A: False
Let us solve: Is 30161 a composite number?
A: False
Let us solve: Is 259729541 a composite number?
A: True
Let us solve: Is 7517363 a composite number?
A: True
Let us solve: Is 744565 a prime number?
A: False
Let us solve: Is 5961536551 prime?
A: False
Let us solve: Is 60209 a prime number?
A: True
Let us solve: Is 61402087 composite?
A: True
Let us solve: Is 20070235 a composite number?
A: True
Let us solve: Is 102836087 a prime number?
A: False
Let us solve: Is 182323 composite?
A: True
Let us solve: Is 102471823 prime?
A: True
Let us solve: Is 113453 a prime number?
A: True
Let us solve: Is 18152953079 a prime number?
A: True
Let us solve: Is 291911 a composite number?
A: True
Let us solve: Is 14309 composite?
A: True
Let us solve: Is 92585 composite?
A: True
Let us solve: Is 416071 prime?
A: True
Let us solve: Is 5415855331 prime?
A: True
Let us solve: Is 161081 prime?
A: False
Let us solve: Is 30541 prime?
A: False
Let us solve: Is 1943747843 a composite number?
A: True
Let us solve: Is 19841
|
english
|
arithmetic: nearest integer root
--------------------------------
Problem Statement: What is 305847804 to the power of 1/3, to the nearest integer?
Workthrough: 674
Problem Statement: What is 665651162 to the power of 1/9, to the nearest integer?
Workthrough: 10
Problem Statement: What is the square root of 5771524 to the nearest integer?
Workthrough: 2402
Problem Statement: What is 555313 to the power of 1/3, to the nearest integer?
Workthrough: 82
Problem Statement: What is the third root of 1461041 to the nearest integer?
Workthrough: 113
Problem Statement: What is the third root of 603578644 to the nearest integer?
Workthrough: 845
Problem Statement: What is 1369566513 to the power of 1/2, to the nearest integer?
Workthrough: 37008
Problem Statement: What is 2032656441 to the power of 1/6, to the nearest integer?
Workthrough: 36
Problem Statement: What is the sixth root of 343428015 to the nearest integer?
Workthrough: 26
Problem Statement: What is the square root of 63613 to the nearest integer?
Workthrough: 252
Problem Statement: What is the square root of 10218521 to the nearest integer?
Workthrough: 3197
Problem Statement: What is 387118408 to the power of 1/2, to the nearest integer?
Workthrough: 19675
Problem Statement: What is the fifth root of 1619772 to the nearest integer?
Workthrough: 17
Problem Statement: What is 330250 to the power of 1/2, to the nearest integer?
Workthrough: 575
Problem Statement: What is the fourth root of 879106 to the nearest integer?
Workthrough: 31
Problem Statement: What is the square root of 11199486 to the nearest integer?
Workthrough: 3347
Problem Statement: What is the seventh root of 36833209 to the nearest integer?
Workthrough: 12
Problem Statement: What is 50885 to the power of 1/3, to the nearest integer?
Workthrough: 37
Problem Statement: What is 723862803 to the power of 1/9, to the nearest integer?
Workthrough: 10
Problem Statement: What is the third root of 21223598 to the nearest integer?
Workthrough: 277
Problem
|
english
|
numbers: gcd
------------
Inquiry: Calculate the greatest common divisor of 120 and 24612360.
Eval: 120
Inquiry: What is the greatest common factor of 418 and 88?
Eval: 22
Inquiry: What is the greatest common divisor of 16354 and 30715328?
Eval: 1258
Inquiry: Calculate the highest common factor of 3753 and 5421.
Eval: 417
Inquiry: Calculate the greatest common divisor of 138 and 87207.
Eval: 3
Inquiry: What is the greatest common factor of 392238 and 613998?
Eval: 1386
Inquiry: Calculate the highest common factor of 16875 and 13743.
Eval: 27
Inquiry: What is the highest common divisor of 3874 and 13?
Eval: 13
Inquiry: What is the greatest common divisor of 63342 and 1458?
Eval: 162
Inquiry: Calculate the greatest common divisor of 103059957 and 858.
Eval: 429
Inquiry: Calculate the greatest common divisor of 1587 and 23.
Eval: 23
Inquiry: Calculate the greatest common factor of 28 and 1106.
Eval: 14
Inquiry: Calculate the highest common divisor of 324 and 4.
Eval: 4
Inquiry: What is the greatest common factor of 11650 and 100?
Eval: 50
Inquiry: What is the highest common divisor of 18 and 78?
Eval: 6
Inquiry: What is the highest common factor of 2188 and 16?
Eval: 4
Inquiry: What is the highest common divisor of 20 and 14?
Eval: 2
Inquiry: What is the greatest common factor of 16 and 1841264?
Eval: 16
Inquiry: Calculate the highest common divisor of 61 and 1433383612.
Eval: 61
Inquiry: Calculate the greatest common factor of 97227 and 1404.
Eval: 351
Inquiry: What is the highest common divisor of 756 and 131040?
Eval: 252
Inquiry: Calculate the greatest common factor of 47759 and 9617.
Eval: 163
Inquiry: What is the highest common divisor of 472 and 5?
Eval: 1
Inquiry: What is the greatest common divisor of 3198 and 10136061?
Eval: 1599
Inquiry: What is the highest common divisor of 18240 and 3135?
Eval: 285
Inquiry: What is the greatest common factor of 660734 and 248?
Eval: 62
Inquiry: Calculate the greatest common divisor of 8991016 and 41768.
Eval: 1816
Inquiry:
|
english
|
probability: swr p level set
----------------------------
Let us solve: What is prob of picking 2 e, 1 r, and 1 o when four letters picked without replacement from {e: 2, o: 6, r: 4}?
Derivation: 8/165
Let us solve: Two letters picked without replacement from cyyccyycycd. What is prob of picking 2 d?
Derivation: 0
Let us solve: Two letters picked without replacement from njqnnljnqjjljjlqjqq. Give prob of picking 2 n.
Derivation: 2/57
Let us solve: Two letters picked without replacement from {j: 4, a: 8, e: 8}. Give prob of picking 1 j and 1 e.
Derivation: 16/95
Let us solve: Two letters picked without replacement from {h: 2, j: 3, s: 2, r: 4, y: 1}. What is prob of picking 1 s and 1 j?
Derivation: 1/11
Let us solve: Two letters picked without replacement from nznznzzz. Give prob of picking 2 z.
Derivation: 5/14
Let us solve: Two letters picked without replacement from jqjkjqjqqddjrrj. What is prob of picking 1 d and 1 r?
Derivation: 4/105
Let us solve: Calculate prob of picking 2 d and 1 j when three letters picked without replacement from {d: 2, j: 9, l: 6}.
Derivation: 9/680
Let us solve: Three letters picked without replacement from ybubbbbygggbdgdd. Give prob of picking 1 g, 1 y, and 1 d.
Derivation: 3/70
Let us solve: Two letters picked without replacement from muxmxuxmuxu. What is prob of picking 1 x and 1 u?
Derivation: 16/55
Let us solve: Calculate prob of picking 1 e, 1 l, and 1 c when three letters picked without replacement from cmzcrlrzzemzzl.
Derivation: 1/91
Let us solve: Three letters picked without replacement from {a: 2, r: 1, s: 6, j: 4, c: 4}. Give prob of picking 1 j and 2 s.
Derivation: 3/34
Let us solve: What is prob of picking 3 m and 1 s when four letters picked without replacement from {m: 13, s: 6}?
Derivation: 143/323
Let us solve: What is prob of picking 1 m, 1 b, 1 g, and 1 t when four letters picked without replacement from {b: 1, r: 2, t: 3, m: 1, g: 3, u: 7}?
Derivation: 9/2380
Let us solve: Three letters picked without replacement fr
|
english
|
numbers: place value
--------------------
Problem: What is the units digit of 2888?
Result: 8
Problem: What is the tens digit of 1561?
Result: 6
Problem: What is the hundreds digit of 388468473?
Result: 4
Problem: What is the ten thousands digit of 78083?
Result: 7
Problem: What is the units digit of 396142?
Result: 2
Problem: What is the hundreds digit of 2841?
Result: 8
Problem: What is the units digit of 31970?
Result: 0
Problem: What is the ten thousands digit of 10990?
Result: 1
Problem: What is the tens digit of 1149358?
Result: 5
Problem: What is the hundred thousands digit of 3686144875?
Result: 1
Problem: What is the hundred thousands digit of 9242387?
Result: 2
Problem: What is the millions digit of 36592803?
Result: 6
Problem: What is the thousands digit of 21143?
Result: 1
Problem: What is the hundreds digit of 60327?
Result: 3
Problem: What is the thousands digit of 2926562?
Result: 6
Problem: What is the hundred thousands digit of 24790383?
Result: 7
Problem: What is the hundreds digit of 815722?
Result: 7
Problem: What is the hundred thousands digit of 134176?
Result: 1
Problem: What is the ten thousands digit of 27326?
Result: 2
Problem: What is the hundred thousands digit of 498699?
Result: 4
Problem: What is the hundred thousands digit of 19006187?
Result: 0
Problem: What is the millions digit of 2341863?
Result: 2
Problem: What is the units digit of 261?
Result: 1
Problem: What is the hundreds digit of 628088?
Result: 0
Problem: What is the tens digit of 739?
Result: 3
Problem: What is the ten thousands digit of 485959076?
Result: 5
Problem: What is the thousands digit of 1408?
Result: 1
Problem: What is the ten millions digit of 880505614?
Result: 8
Problem: What is the units digit of 53690?
Result: 0
Problem: What is the ten millions digit of 16677145?
Result: 1
Problem: What is the millions digit of 2314134?
Result: 2
Problem: What is the ten thousands digit of 2338997?
Result: 3
Problem: What is the ten thousands digit of 28434?
Result: 2
Prob
|
english
|
measurement: time
-----------------
Challenge: What is 546 minutes after 12:25 AM?
Sol: 9:31 AM
Challenge: What is 428 minutes after 6:52 PM?
Sol: 2:00 AM
Challenge: What is 634 minutes before 6:17 PM?
Sol: 7:43 AM
Challenge: What is 152 minutes after 2:55 AM?
Sol: 5:27 AM
Challenge: What is 360 minutes before 6:37 PM?
Sol: 12:37 PM
Challenge: What is 423 minutes before 3:58 PM?
Sol: 8:55 AM
Challenge: What is 121 minutes after 11:42 PM?
Sol: 1:43 AM
Challenge: What is 517 minutes after 11:06 AM?
Sol: 7:43 PM
Challenge: How many minutes are there between 7:51 AM and 8:02 AM?
Sol: 11
Challenge: What is 6 minutes after 11:14 AM?
Sol: 11:20 AM
Challenge: What is 130 minutes after 7:26 AM?
Sol: 9:36 AM
Challenge: What is 398 minutes before 4:12 PM?
Sol: 9:34 AM
Challenge: How many minutes are there between 12:04 PM and 5:14 PM?
Sol: 310
Challenge: What is 69 minutes before 9:41 PM?
Sol: 8:32 PM
Challenge: How many minutes are there between 4:01 AM and 11:49 AM?
Sol: 468
Challenge: What is 252 minutes before 1:13 PM?
Sol: 9:01 AM
Challenge: How many minutes are there between 6:51 PM and 4:42 AM?
Sol: 591
Challenge: How many minutes are there between 2:58 AM and 4:45 AM?
Sol: 107
Challenge: What is 235 minutes after 12:42 PM?
Sol: 4:37 PM
Challenge: What is 709 minutes before 4:14 AM?
Sol: 4:25 PM
Challenge: How many minutes are there between 8:01 PM and 1:03 AM?
Sol: 302
Challenge: What is 360 minutes after 2:15 PM?
Sol: 8:15 PM
Challenge: How many minutes are there between 1:07 PM and 12:35 AM?
Sol: 688
Challenge: How many minutes are there between 2:52 PM and 4:28 PM?
Sol: 96
Challenge: How many minutes are there between 2:31 AM and 8:42 AM?
Sol: 371
Challenge: How many minutes are there between 5:05 PM and 2:35 AM?
Sol: 570
Challenge: What is 76 minutes after 3:21 PM?
Sol: 4:37 PM
Challenge: What is 121 minutes after 1:39 PM?
Sol: 3:40 PM
Challenge: What is 556 minutes after 3:54 PM?
Sol: 1:10 AM
Challenge: What is 690 minutes before 4:56 AM?
Sol: 5:26 PM
Challenge: W
|
english
|
numbers: is prime
-----------------
Part A: Is 25969 prime?
Compute: True
Part A: Is 29737789787 a composite number?
Compute: False
Part A: Is 53843681 composite?
Compute: False
Part A: Is 240900353 a composite number?
Compute: True
Part A: Is 5237138059 composite?
Compute: False
Part A: Is 20165274611 a prime number?
Compute: False
Part A: Is 2203 a composite number?
Compute: False
Part A: Is 4383517 composite?
Compute: True
Part A: Is 9127 a composite number?
Compute: False
Part A: Is 36721 prime?
Compute: True
Part A: Is 788153 a prime number?
Compute: True
Part A: Is 168311111 prime?
Compute: True
Part A: Is 117847 prime?
Compute: False
Part A: Is 20056589549 a prime number?
Compute: False
Part A: Is 20442511 prime?
Compute: True
Part A: Is 31333411 a composite number?
Compute: False
Part A: Is 379092277 prime?
Compute: False
Part A: Is 32565430357 composite?
Compute: True
Part A: Is 308571127 composite?
Compute: True
Part A: Is 78635 a composite number?
Compute: True
Part A: Is 79637 a prime number?
Compute: False
Part A: Is 494704061 prime?
Compute: True
Part A: Is 112963 a composite number?
Compute: True
Part A: Is 1866814067 a composite number?
Compute: True
Part A: Is 39059 composite?
Compute: True
Part A: Is 373727 a prime number?
Compute: False
Part A: Is 1002403 a composite number?
Compute: False
Part A: Is 120355346911 a composite number?
Compute: False
Part A: Is 29791063 a composite number?
Compute: True
Part A: Is 1309881189 a composite number?
Compute: True
Part A: Is 163846403 composite?
Compute: True
Part A: Is 179143 composite?
Compute: False
Part A: Is 126854411 prime?
Compute: True
Part A: Is 17083337 composite?
Compute: True
Part A: Is 23938105 composite?
Compute: True
Part A: Is 296941 a prime number?
Compute: True
Part A: Is 12887818699 a prime number?
Compute: False
Part A: Is 705093293 a prime number?
Compute: False
Part A: Is 96137 prime?
Compute: True
Part A: Is 28591 a prime number?
Compute: True
Part A: Is 49800449 prime?
Compute: True
|
english
|
arithmetic: nearest integer root
--------------------------------
Puzzle: What is 38 to the power of 1/3, to the nearest integer?
Math A: 3
Puzzle: What is 3000573494 to the power of 1/2, to the nearest integer?
Math A: 54777
Puzzle: What is the square root of 24420 to the nearest integer?
Math A: 156
Puzzle: What is the ninth root of 16810 to the nearest integer?
Math A: 3
Puzzle: What is the fourth root of 944170115 to the nearest integer?
Math A: 175
Puzzle: What is 1492089 to the power of 1/5, to the nearest integer?
Math A: 17
Puzzle: What is the square root of 37945198 to the nearest integer?
Math A: 6160
Puzzle: What is 5162 to the power of 1/7, to the nearest integer?
Math A: 3
Puzzle: What is 253 to the power of 1/7, to the nearest integer?
Math A: 2
Puzzle: What is the third root of 11655 to the nearest integer?
Math A: 23
Puzzle: What is the square root of 17764 to the nearest integer?
Math A: 133
Puzzle: What is the fourth root of 197550 to the nearest integer?
Math A: 21
Puzzle: What is 122 to the power of 1/2, to the nearest integer?
Math A: 11
Puzzle: What is the tenth root of 74545731 to the nearest integer?
Math A: 6
Puzzle: What is 264694 to the power of 1/3, to the nearest integer?
Math A: 64
Puzzle: What is the seventh root of 220670238 to the nearest integer?
Math A: 16
Puzzle: What is the ninth root of 1187 to the nearest integer?
Math A: 2
Puzzle: What is 68915204 to the power of 1/2, to the nearest integer?
Math A: 8302
Puzzle: What is 4881 to the power of 1/2, to the nearest integer?
Math A: 70
Puzzle: What is the seventh root of 7093 to the nearest integer?
Math A: 4
Puzzle: What is 4617 to the power of 1/3, to the nearest integer?
Math A: 17
Puzzle: What is the square root of 4548091640 to the nearest integer?
Math A: 67440
Puzzle: What is the square root of 14368 to the nearest integer?
Math A: 120
Puzzle: What is the tenth root of 923451382 to the nearest integer?
Math A: 8
Puzzle: What is the square root of 1700552 to the nearest intege
|
english
|
numbers: is factor
------------------
Statement: Is 31 a factor of 23188?
Eval: True
Statement: Is 17 a factor of 24304?
Eval: False
Statement: Does 3061 divide 864084976?
Eval: False
Statement: Does 1243 divide 4739681685?
Eval: False
Statement: Does 45 divide 52977330?
Eval: True
Statement: Does 26 divide 4031528?
Eval: False
Statement: Is 13 a factor of 73127?
Eval: False
Statement: Is 4030859692 a multiple of 62?
Eval: True
Statement: Is 168 a multiple of 42?
Eval: True
Statement: Is 50516 a multiple of 159?
Eval: False
Statement: Is 389113 a multiple of 11?
Eval: False
Statement: Is 1595950 a multiple of 2705?
Eval: True
Statement: Is 3278 a multiple of 11?
Eval: True
Statement: Is 78889980 a multiple of 65?
Eval: True
Statement: Does 11 divide 1428263?
Eval: False
Statement: Is 1517 a multiple of 41?
Eval: True
Statement: Does 59 divide 388763?
Eval: False
Statement: Does 10 divide 320?
Eval: True
Statement: Does 7 divide 1170?
Eval: False
Statement: Is 1016429660 a multiple of 8585?
Eval: True
Statement: Is 6127970 a multiple of 49?
Eval: False
Statement: Does 54 divide 16956?
Eval: True
Statement: Does 19 divide 99275?
Eval: True
Statement: Is 242729 a multiple of 388?
Eval: False
Statement: Does 661 divide 11228407?
Eval: True
Statement: Is 4979350 a multiple of 50?
Eval: True
Statement: Does 22 divide 24919048?
Eval: True
Statement: Is 295554 a multiple of 113?
Eval: False
Statement: Is 35 a factor of 6426910?
Eval: True
Statement: Does 8 divide 6448?
Eval: True
Statement: Is 38 a factor of 988?
Eval: True
Statement: Does 55 divide 1314?
Eval: False
Statement: Does 27 divide 13743?
Eval: True
Statement: Is 52 a factor of 2028?
Eval: True
Statement: Does 7 divide 25251?
Eval: False
Statement: Does 48 divide 25611?
Eval: False
Statement: Is 31061808 a multiple of 912?
Eval: True
Statement: Is 21 a factor of 67875?
Eval: False
Statement: Is 21 a factor of 4044201?
Eval: True
Statement: Does 20 divide 260?
Eval: True
Statement: Is 67477 a multiple of 8?
Eval:
|
english
|
numbers: is factor
------------------
Example: Does 27 divide 45511335?
Clarification: True
Example: Is 841770 a multiple of 10?
Clarification: True
Example: Is 4 a factor of 6967520?
Clarification: True
Example: Does 26 divide 39235144?
Clarification: True
Example: Does 230 divide 817022?
Clarification: False
Example: Is 79 a factor of 119970142?
Clarification: False
Example: Does 31 divide 57839583?
Clarification: True
Example: Does 4 divide 74373?
Clarification: False
Example: Does 24 divide 881964681?
Clarification: False
Example: Does 105 divide 191114769?
Clarification: False
Example: Does 3 divide 333?
Clarification: True
Example: Is 10200 a multiple of 136?
Clarification: True
Example: Does 10 divide 660?
Clarification: True
Example: Does 24 divide 32736?
Clarification: True
Example: Is 9 a factor of 275869?
Clarification: False
Example: Is 17 a factor of 748102?
Clarification: True
Example: Is 210 a multiple of 21?
Clarification: True
Example: Does 66 divide 132?
Clarification: True
Example: Is 7 a factor of 711?
Clarification: False
Example: Is 384 a multiple of 22?
Clarification: False
Example: Is 6 a factor of 160290?
Clarification: True
Example: Is 16 a factor of 242?
Clarification: False
Example: Is 1158 a multiple of 14?
Clarification: False
Example: Is 50329768 a multiple of 1544?
Clarification: True
Example: Is 3754047 a multiple of 847?
Clarification: False
Example: Does 13 divide 1189397?
Clarification: False
Example: Is 3 a factor of 1588839?
Clarification: True
Example: Is 285 a factor of 2621281?
Clarification: False
Example: Is 71 a factor of 149362558?
Clarification: True
Example: Does 19 divide 2047517?
Clarification: False
Example: Does 112 divide 78512?
Clarification: True
Example: Does 605 divide 7357105?
Clarification: False
Example: Is 11 a factor of 3705889?
Clarification: True
Example: Does 18 divide 74525?
Clarification: False
Example: Does 37 divide 16771829?
Clarification: False
Example: Is 57 a factor of 1619427?
Clarification: Tr
|
english
|
numbers: is prime
-----------------
Conundrum: Is 892516517 a composite number?
Response: True
Conundrum: Is 113316719 a composite number?
Response: False
Conundrum: Is 189525863 prime?
Response: False
Conundrum: Is 19219205 prime?
Response: False
Conundrum: Is 1120786 a prime number?
Response: False
Conundrum: Is 20693 a composite number?
Response: False
Conundrum: Is 137947213 prime?
Response: True
Conundrum: Is 320123 composite?
Response: True
Conundrum: Is 4441 composite?
Response: False
Conundrum: Is 2045047 a composite number?
Response: False
Conundrum: Is 1494557 prime?
Response: True
Conundrum: Is 361723 a prime number?
Response: True
Conundrum: Is 20653 a composite number?
Response: True
Conundrum: Is 44553202 a composite number?
Response: True
Conundrum: Is 291773389 prime?
Response: True
Conundrum: Is 82699 composite?
Response: False
Conundrum: Is 116117 composite?
Response: True
Conundrum: Is 83117 a composite number?
Response: False
Conundrum: Is 10352864111 composite?
Response: True
Conundrum: Is 655519867 prime?
Response: True
Conundrum: Is 7321 a prime number?
Response: True
Conundrum: Is 162769 composite?
Response: True
Conundrum: Is 1184371 a composite number?
Response: True
Conundrum: Is 4369 a composite number?
Response: True
Conundrum: Is 214543967 a composite number?
Response: True
Conundrum: Is 60471071 a composite number?
Response: True
Conundrum: Is 27358 prime?
Response: False
Conundrum: Is 640861 prime?
Response: False
Conundrum: Is 4035761317 a prime number?
Response: False
Conundrum: Is 13397 composite?
Response: False
Conundrum: Is 2271 a composite number?
Response: True
Conundrum: Is 102656651 a composite number?
Response: False
Conundrum: Is 36796213 prime?
Response: True
Conundrum: Is 2069534 a prime number?
Response: False
Conundrum: Is 5532377701 a prime number?
Response: True
Conundrum: Is 91250181227 a composite number?
Response: False
Conundrum: Is 730694249 a composite number?
Response: False
Conundrum: Is 447 prime?
Response:
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english
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numbers: gcd
------------
Example: What is the highest common factor of 108 and 53793?
Steps: 9
Example: Calculate the highest common divisor of 4008430146 and 2478.
Steps: 2478
Example: Calculate the highest common divisor of 70 and 407918.
Steps: 14
Example: What is the highest common divisor of 48 and 492?
Steps: 12
Example: What is the greatest common divisor of 3612945 and 145635?
Steps: 1995
Example: What is the greatest common divisor of 224945 and 35?
Steps: 35
Example: Calculate the greatest common factor of 210 and 24185.
Steps: 35
Example: Calculate the greatest common divisor of 20 and 116.
Steps: 4
Example: What is the highest common factor of 10090 and 17610?
Steps: 10
Example: Calculate the highest common factor of 312 and 5976.
Steps: 24
Example: What is the highest common divisor of 14759383 and 17?
Steps: 17
Example: Calculate the greatest common divisor of 44310 and 15.
Steps: 15
Example: What is the highest common divisor of 2743 and 416?
Steps: 13
Example: What is the highest common divisor of 1059 and 6?
Steps: 3
Example: Calculate the greatest common divisor of 9 and 18999.
Steps: 9
Example: What is the greatest common factor of 20644984 and 424?
Steps: 424
Example: Calculate the highest common factor of 9 and 27476487.
Steps: 9
Example: What is the greatest common factor of 82426275 and 171?
Steps: 171
Example: Calculate the greatest common factor of 497673 and 69696.
Steps: 1089
Example: What is the highest common factor of 191081792 and 5888?
Steps: 1472
Example: What is the highest common divisor of 2444 and 4?
Steps: 4
Example: What is the highest common factor of 960 and 15?
Steps: 15
Example: What is the greatest common factor of 30 and 14580?
Steps: 30
Example: Calculate the greatest common divisor of 126 and 5436.
Steps: 18
Example: What is the greatest common factor of 759 and 69?
Steps: 69
Example: What is the greatest common factor of 627 and 1539?
Steps: 57
Example: What is the highest common divisor of 4082 and 338?
Steps: 26
Exa
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english
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probability: swr p level set
----------------------------
What if: What is prob of picking 1 y, 1 o, and 2 f when four letters picked without replacement from qyhqmffmo?
β: 1/126
What if: What is prob of picking 1 m and 1 g when two letters picked without replacement from {u: 4, m: 1, y: 2, k: 3, v: 2, g: 2}?
β: 2/91
What if: Three letters picked without replacement from {o: 3, r: 3, n: 3, k: 2, p: 3}. What is prob of picking 1 p and 2 k?
β: 3/364
What if: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from {s: 1, y: 6, f: 4, c: 1, e: 6}.
β: 5/272
What if: Two letters picked without replacement from {o: 2, t: 3, u: 2, h: 1, q: 4, x: 2}. What is prob of picking 1 x and 1 q?
β: 8/91
What if: What is prob of picking 1 j, 1 v, and 1 h when three letters picked without replacement from {h: 2, m: 1, j: 5, t: 2, z: 4, v: 1}?
β: 2/91
What if: Two letters picked without replacement from aaaaa. What is prob of picking 2 a?
β: 1
What if: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {s: 7, i: 1, b: 2}.
β: 14/45
What if: Two letters picked without replacement from kcckllkl. Give prob of picking 1 l and 1 k.
β: 9/28
What if: Three letters picked without replacement from {a: 6, h: 1, z: 3, f: 4}. Give prob of picking 1 a, 1 f, and 1 z.
β: 18/91
What if: Three letters picked without replacement from jtujpuupu. What is prob of picking 2 u and 1 t?
β: 1/14
What if: What is prob of picking 3 h when three letters picked without replacement from {w: 1, h: 17}?
β: 5/6
What if: Calculate prob of picking 1 o and 2 l when three letters picked without replacement from ykkolcwwkkyoklcokkk.
β: 1/323
What if: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from djjkjjdjdrjrjdirikhj.
β: 1/95
What if: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {p: 4, f: 1, d: 2, a: 2, x: 1}.
β: 2/45
What if: Calculate prob of picking 1 m, 1 a, and 1 g when th
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english
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numbers: is prime
-----------------
Case: Is 1312345994 composite?
Derivation: True
Case: Is 3209675927 a prime number?
Derivation: True
Case: Is 1843365169 composite?
Derivation: False
Case: Is 11281 a composite number?
Derivation: True
Case: Is 80737 a prime number?
Derivation: True
Case: Is 748650349 prime?
Derivation: True
Case: Is 95423039 composite?
Derivation: True
Case: Is 10073676289 composite?
Derivation: False
Case: Is 180750347 prime?
Derivation: True
Case: Is 2602837 composite?
Derivation: True
Case: Is 43560483671 prime?
Derivation: False
Case: Is 10709 composite?
Derivation: False
Case: Is 803178533 prime?
Derivation: True
Case: Is 6821896307 prime?
Derivation: True
Case: Is 28757 composite?
Derivation: True
Case: Is 119701 prime?
Derivation: True
Case: Is 21695101 composite?
Derivation: True
Case: Is 60493 prime?
Derivation: True
Case: Is 31298467699 a composite number?
Derivation: False
Case: Is 4193099 prime?
Derivation: False
Case: Is 15631535 a prime number?
Derivation: False
Case: Is 26341969631 prime?
Derivation: True
Case: Is 491 a composite number?
Derivation: False
Case: Is 618521 a composite number?
Derivation: False
Case: Is 699553 a prime number?
Derivation: False
Case: Is 8641 composite?
Derivation: False
Case: Is 451650623 prime?
Derivation: False
Case: Is 31725668177 a prime number?
Derivation: False
Case: Is 6060772919 a prime number?
Derivation: False
Case: Is 9259531 prime?
Derivation: True
Case: Is 4040064013 a prime number?
Derivation: True
Case: Is 390763283 a prime number?
Derivation: True
Case: Is 10730370197 a prime number?
Derivation: False
Case: Is 3035761 a composite number?
Derivation: False
Case: Is 27791 prime?
Derivation: True
Case: Is 343517 composite?
Derivation: False
Case: Is 2705225209 composite?
Derivation: False
Case: Is 31307 prime?
Derivation: True
Case: Is 8011 a composite number?
Derivation: False
Case: Is 55951537 a prime number?
Derivation: True
Case: Is 402029207 a composite number?
Derivation: True
Case:
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english
|
numbers: place value
--------------------
Example: What is the thousands digit of 1104806893?
Therefore: 6
Example: What is the tens digit of 24037?
Therefore: 3
Example: What is the tens digit of 1181880614?
Therefore: 1
Example: What is the hundreds digit of 75080?
Therefore: 0
Example: What is the hundreds digit of 1550065067?
Therefore: 0
Example: What is the hundreds digit of 160771310?
Therefore: 3
Example: What is the hundreds digit of 389262196?
Therefore: 1
Example: What is the tens digit of 214533?
Therefore: 3
Example: What is the thousands digit of 2072?
Therefore: 2
Example: What is the millions digit of 12750777?
Therefore: 2
Example: What is the tens digit of 1180985?
Therefore: 8
Example: What is the hundreds digit of 518595013?
Therefore: 0
Example: What is the ten thousands digit of 8214142?
Therefore: 1
Example: What is the thousands digit of 3940?
Therefore: 3
Example: What is the hundreds digit of 1473525?
Therefore: 5
Example: What is the hundred thousands digit of 1009417?
Therefore: 0
Example: What is the units digit of 3697?
Therefore: 7
Example: What is the units digit of 32360?
Therefore: 0
Example: What is the ten millions digit of 10296370?
Therefore: 1
Example: What is the tens digit of 3169494377?
Therefore: 7
Example: What is the hundreds digit of 87899?
Therefore: 8
Example: What is the hundreds digit of 1990?
Therefore: 9
Example: What is the hundred millions digit of 438199532?
Therefore: 4
Example: What is the hundred thousands digit of 397729727?
Therefore: 7
Example: What is the hundreds digit of 370009591?
Therefore: 5
Example: What is the ten thousands digit of 131632?
Therefore: 3
Example: What is the hundred thousands digit of 3299527?
Therefore: 2
Example: What is the thousands digit of 114644973?
Therefore: 4
Example: What is the units digit of 455169675?
Therefore: 5
Example: What is the hundreds digit of 132735?
Therefore: 7
Example: What is the thousands digit of 53158?
Therefore: 3
Example: What is the millions digit o
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english
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numbers: div remainder
----------------------
Given: What is the remainder when 202796 is divided by 259?
Outcome: 258
Given: What is the remainder when 18612528 is divided by 1511?
Outcome: 30
Given: Calculate the remainder when 95 is divided by 19.
Outcome: 0
Given: What is the remainder when 1620 is divided by 772?
Outcome: 76
Given: What is the remainder when 270670 is divided by 11263?
Outcome: 358
Given: What is the remainder when 19322 is divided by 1486?
Outcome: 4
Given: What is the remainder when 7507 is divided by 764?
Outcome: 631
Given: Calculate the remainder when 4059514 is divided by 148.
Outcome: 22
Given: Calculate the remainder when 379 is divided by 16.
Outcome: 11
Given: What is the remainder when 218226 is divided by 109109?
Outcome: 8
Given: Calculate the remainder when 759 is divided by 314.
Outcome: 131
Given: Calculate the remainder when 20381346 is divided by 7912.
Outcome: 34
Given: What is the remainder when 2299601 is divided by 121?
Outcome: 117
Given: Calculate the remainder when 310 is divided by 13.
Outcome: 11
Given: What is the remainder when 245022 is divided by 27?
Outcome: 24
Given: What is the remainder when 1451012 is divided by 131908?
Outcome: 24
Given: Calculate the remainder when 627815 is divided by 41847.
Outcome: 110
Given: Calculate the remainder when 664976 is divided by 2692.
Outcome: 52
Given: Calculate the remainder when 271491 is divided by 271386.
Outcome: 105
Given: What is the remainder when 160397 is divided by 14566?
Outcome: 171
Given: What is the remainder when 21360 is divided by 308?
Outcome: 108
Given: Calculate the remainder when 685 is divided by 334.
Outcome: 17
Given: What is the remainder when 370756 is divided by 620?
Outcome: 616
Given: What is the remainder when 1970384490 is divided by 3427?
Outcome: 3424
Given: What is the remainder when 16584 is divided by 5524?
Outcome: 12
Given: What is the remainder when 1051 is divided by 12?
Outcome: 7
Given: Calculate the remainder when 5519 is divided
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english
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numbers: is prime
-----------------
Problem: Is 18806 a composite number?
Solution: True
Problem: Is 7331 composite?
Solution: False
Problem: Is 4192527263 a prime number?
Solution: False
Problem: Is 48847 a composite number?
Solution: False
Problem: Is 134303 prime?
Solution: False
Problem: Is 26588203 prime?
Solution: False
Problem: Is 2414021 a composite number?
Solution: False
Problem: Is 1249851761 prime?
Solution: False
Problem: Is 35860200577 prime?
Solution: False
Problem: Is 118019279947 composite?
Solution: True
Problem: Is 103733033 composite?
Solution: True
Problem: Is 16753405597 composite?
Solution: True
Problem: Is 26203319 a composite number?
Solution: False
Problem: Is 9600047 a prime number?
Solution: True
Problem: Is 3251 a prime number?
Solution: True
Problem: Is 8870179 a prime number?
Solution: True
Problem: Is 1735637 a prime number?
Solution: False
Problem: Is 4634367 a composite number?
Solution: True
Problem: Is 37239599 composite?
Solution: True
Problem: Is 1840867 a composite number?
Solution: True
Problem: Is 4117 a prime number?
Solution: False
Problem: Is 46337 a prime number?
Solution: True
Problem: Is 3746329 composite?
Solution: False
Problem: Is 876479 a composite number?
Solution: False
Problem: Is 1009 composite?
Solution: False
Problem: Is 1282571 a composite number?
Solution: False
Problem: Is 85439 a composite number?
Solution: False
Problem: Is 10435 composite?
Solution: True
Problem: Is 78806381 a composite number?
Solution: False
Problem: Is 1572739 a prime number?
Solution: False
Problem: Is 14923 a prime number?
Solution: True
Problem: Is 18961009 a composite number?
Solution: False
Problem: Is 71658200099 a composite number?
Solution: False
Problem: Is 167683 a composite number?
Solution: False
Problem: Is 86797643 composite?
Solution: True
Problem: Is 11196569611 a prime number?
Solution: True
Problem: Is 2533963 a composite number?
Solution: False
Problem: Is 3390494669 composite?
Solution: True
Problem: Is 11182 a pri
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english
|
probability: swr p sequence
---------------------------
Ask: Three letters picked without replacement from {p: 1, a: 1, i: 1, z: 1, h: 1, x: 2}. What is prob of sequence azi?
Math A: 1/210
Ask: What is prob of sequence qqf when three letters picked without replacement from {n: 5, f: 3, q: 3, h: 1}?
Math A: 3/220
Ask: Two letters picked without replacement from bbllolobbobll. What is prob of sequence bl?
Math A: 25/156
Ask: Calculate prob of sequence cuc when three letters picked without replacement from {c: 2, u: 4, s: 1}.
Math A: 4/105
Ask: What is prob of sequence gip when three letters picked without replacement from {t: 5, g: 3, d: 1, e: 1, i: 2, p: 1}?
Math A: 1/286
Ask: Calculate prob of sequence uz when two letters picked without replacement from uuuudduddudzdudr.
Math A: 7/240
Ask: Two letters picked without replacement from dbsgk. Give prob of sequence db.
Math A: 1/20
Ask: What is prob of sequence iih when three letters picked without replacement from hhiithit?
Math A: 3/56
Ask: What is prob of sequence tfto when four letters picked without replacement from ohothohfpphoft?
Math A: 2/3003
Ask: Calculate prob of sequence jja when three letters picked without replacement from {q: 4, j: 3, l: 6, y: 2, a: 2}.
Math A: 1/340
Ask: What is prob of sequence bjbr when four letters picked without replacement from jfrfbfbbjjb?
Math A: 1/220
Ask: Four letters picked without replacement from uxuuxupxlxixxpluu. Give prob of sequence pilu.
Math A: 1/2380
Ask: Two letters picked without replacement from jregd. Give prob of sequence dj.
Math A: 1/20
Ask: Calculate prob of sequence evtf when four letters picked without replacement from thfnevh.
Math A: 1/840
Ask: What is prob of sequence pou when three letters picked without replacement from {u: 5, p: 1, o: 7}?
Math A: 35/1716
Ask: Three letters picked without replacement from {o: 2, s: 1, y: 4}. Give prob of sequence osy.
Math A: 4/105
Ask: Two letters picked without replacement from xoikaxpaixkxxixioa. What is prob of seque
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english
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probability: swr p level set
----------------------------
Prompt: Three letters picked without replacement from {y: 15, f: 4}. Give prob of picking 3 y.
Answer: 455/969
Prompt: Two letters picked without replacement from {o: 2, j: 5}. Give prob of picking 2 o.
Answer: 1/21
Prompt: Calculate prob of picking 4 i when four letters picked without replacement from {i: 12, d: 3, l: 1}.
Answer: 99/364
Prompt: Calculate prob of picking 2 i and 1 r when three letters picked without replacement from riizzbz.
Answer: 1/35
Prompt: Two letters picked without replacement from apncpaaiapjaija. What is prob of picking 1 a and 1 n?
Answer: 2/35
Prompt: Calculate prob of picking 2 b when two letters picked without replacement from qqqbqqb.
Answer: 1/21
Prompt: Calculate prob of picking 1 r, 2 b, and 1 d when four letters picked without replacement from {r: 1, j: 1, b: 2, d: 1}.
Answer: 1/5
Prompt: What is prob of picking 2 n and 1 g when three letters picked without replacement from ganadddaandaannddnan?
Answer: 1/76
Prompt: What is prob of picking 2 j and 1 n when three letters picked without replacement from jjjnjjnnnj?
Answer: 1/2
Prompt: What is prob of picking 1 l and 2 q when three letters picked without replacement from {l: 2, v: 10, q: 6}?
Answer: 5/136
Prompt: What is prob of picking 2 k and 2 g when four letters picked without replacement from {g: 2, k: 6}?
Answer: 3/14
Prompt: Two letters picked without replacement from dddddvdddbd. What is prob of picking 1 d and 1 v?
Answer: 9/55
Prompt: Two letters picked without replacement from exexteexexxegxe. Give prob of picking 2 x.
Answer: 1/7
Prompt: Two letters picked without replacement from {n: 1, t: 3, m: 1, p: 4, i: 7, r: 2}. What is prob of picking 1 i and 1 r?
Answer: 14/153
Prompt: What is prob of picking 1 i and 1 h when two letters picked without replacement from {a: 1, i: 1, f: 1, h: 1, d: 4}?
Answer: 1/28
Prompt: Three letters picked without replacement from llblzbb. What is prob of picking 1 l and 2 b?
Answer: 9/35
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english
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numbers: is prime
-----------------
Math Q: Is 20520611 composite?
Thus: True
Math Q: Is 4677179 prime?
Thus: False
Math Q: Is 5579190013 a prime number?
Thus: True
Math Q: Is 31168218703 prime?
Thus: True
Math Q: Is 2829383 a composite number?
Thus: False
Math Q: Is 2933016917 composite?
Thus: False
Math Q: Is 15307 composite?
Thus: False
Math Q: Is 63914 composite?
Thus: True
Math Q: Is 7279 a composite number?
Thus: True
Math Q: Is 5630006861 a prime number?
Thus: False
Math Q: Is 20269 prime?
Thus: True
Math Q: Is 566413 composite?
Thus: False
Math Q: Is 119159 prime?
Thus: True
Math Q: Is 7533968261 composite?
Thus: True
Math Q: Is 9917 composite?
Thus: True
Math Q: Is 16758799 a composite number?
Thus: True
Math Q: Is 3589 composite?
Thus: True
Math Q: Is 468297131 prime?
Thus: False
Math Q: Is 321359 composite?
Thus: False
Math Q: Is 184391215 composite?
Thus: True
Math Q: Is 4111 prime?
Thus: True
Math Q: Is 42118 a composite number?
Thus: True
Math Q: Is 4575241 a prime number?
Thus: False
Math Q: Is 1420703 prime?
Thus: False
Math Q: Is 15779 prime?
Thus: False
Math Q: Is 8097501119 a prime number?
Thus: True
Math Q: Is 19154194187 composite?
Thus: True
Math Q: Is 4831 a composite number?
Thus: False
Math Q: Is 350737061 a prime number?
Thus: True
Math Q: Is 690103 a composite number?
Thus: False
Math Q: Is 5855 a composite number?
Thus: True
Math Q: Is 301461302 a composite number?
Thus: True
Math Q: Is 33157453 prime?
Thus: False
Math Q: Is 11299 a composite number?
Thus: False
Math Q: Is 19279379 a composite number?
Thus: True
Math Q: Is 7452145 a prime number?
Thus: False
Math Q: Is 38036898569 prime?
Thus: True
Math Q: Is 59395186 a prime number?
Thus: False
Math Q: Is 169488577 a composite number?
Thus: True
Math Q: Is 42589 a prime number?
Thus: True
Math Q: Is 737629 a composite number?
Thus: False
Math Q: Is 1531163 composite?
Thus: True
Math Q: Is 18299 a prime number?
Thus: False
Math Q: Is 1317134611 prime?
Thus: False
Math Q: Is 89369773 prime
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english
|
probability: swr p level set
----------------------------
Question: Two letters picked without replacement from ararrsrasrrrssssa. What is prob of picking 1 a and 1 s?
Answer: 3/17
Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from {x: 2, z: 2, o: 3, j: 2}?
Answer: 1/6
Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {r: 4, m: 4, y: 3, n: 2, u: 3, p: 1}.
Answer: 3/34
Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {h: 6, s: 12}?
Answer: 8/17
Question: Four letters picked without replacement from {k: 9, s: 3}. What is prob of picking 1 s and 3 k?
Answer: 28/55
Question: Calculate prob of picking 2 r when two letters picked without replacement from ooooroooorrorg.
Answer: 6/91
Question: Three letters picked without replacement from {g: 2, e: 1, i: 1}. Give prob of picking 1 e and 2 i.
Answer: 0
Question: Four letters picked without replacement from {i: 1, y: 2, g: 1, u: 1}. Give prob of picking 1 u, 1 y, 1 g, and 1 i.
Answer: 2/5
Question: Three letters picked without replacement from {x: 9}. Give prob of picking 3 x.
Answer: 1
Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {g: 1, k: 1, t: 1}.
Answer: 1/3
Question: What is prob of picking 2 j when two letters picked without replacement from {a: 2, j: 4, f: 2}?
Answer: 3/14
Question: Three letters picked without replacement from {o: 2, r: 9}. Give prob of picking 1 r and 2 o.
Answer: 3/55
Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {r: 1, d: 1, f: 1, j: 1, a: 1}.
Answer: 1/10
Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from pcr.
Answer: 1/3
Question: Three letters picked without replacement from tyytbllyybyymccltm. Give prob of picking 1 c and 2 l.
Answer: 1/136
Question: Calculate prob of picking 2 c when two letters picked without r
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english
|
probability: swr p level set
----------------------------
Statement: Calculate prob of picking 3 k and 1 u when four letters picked without replacement from {p: 5, k: 7, u: 7}.
Key: 245/3876
Statement: Four letters picked without replacement from {c: 1, o: 1, x: 2}. What is prob of picking 2 o, 1 x, and 1 c?
Key: 0
Statement: Three letters picked without replacement from alltsyta. Give prob of picking 1 t, 1 a, and 1 y.
Key: 1/14
Statement: What is prob of picking 1 z and 1 u when two letters picked without replacement from iuzhuuuue?
Key: 5/36
Statement: Three letters picked without replacement from {i: 7, p: 3, q: 3}. Give prob of picking 1 p and 2 i.
Key: 63/286
Statement: Two letters picked without replacement from {i: 16, b: 2}. What is prob of picking 1 b and 1 i?
Key: 32/153
Statement: Three letters picked without replacement from mckimcccmwkkkw. What is prob of picking 2 m and 1 c?
Key: 3/91
Statement: Four letters picked without replacement from sjjjjjsj. Give prob of picking 4 j.
Key: 3/14
Statement: Calculate prob of picking 1 p, 1 o, and 2 v when four letters picked without replacement from {o: 3, v: 7, p: 3}.
Key: 189/715
Statement: Calculate prob of picking 2 r when two letters picked without replacement from hrhhoohooorohhoirour.
Key: 3/95
Statement: Calculate prob of picking 2 b when two letters picked without replacement from {b: 4, a: 7}.
Key: 6/55
Statement: Four letters picked without replacement from {b: 1, q: 17}. What is prob of picking 4 q?
Key: 7/9
Statement: Calculate prob of picking 2 n when two letters picked without replacement from {f: 5, y: 2, h: 1, p: 3, n: 8}.
Key: 28/171
Statement: Four letters picked without replacement from rrnnerrneerrre. Give prob of picking 2 r and 2 n.
Key: 9/143
Statement: What is prob of picking 2 n and 1 q when three letters picked without replacement from {h: 11, q: 1, v: 3, n: 5}?
Key: 1/114
Statement: Two letters picked without replacement from zmzmwmzmwemwzm. Give prob of picking 1 m and 1 z.
Key: 24/91
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english
|
numbers: is prime
-----------------
Let: Is 3641494487 a composite number?
Interpretation: False
Let: Is 4682280991 composite?
Interpretation: True
Let: Is 316718543 a composite number?
Interpretation: True
Let: Is 66379367 composite?
Interpretation: False
Let: Is 1779952781 a composite number?
Interpretation: True
Let: Is 65951 a composite number?
Interpretation: False
Let: Is 308129 composite?
Interpretation: False
Let: Is 41227831 a composite number?
Interpretation: True
Let: Is 46678 a composite number?
Interpretation: True
Let: Is 259923323 prime?
Interpretation: False
Let: Is 2569099179 composite?
Interpretation: True
Let: Is 9490142801 composite?
Interpretation: True
Let: Is 1556101 prime?
Interpretation: False
Let: Is 941 a prime number?
Interpretation: True
Let: Is 17270926411 composite?
Interpretation: False
Let: Is 317153 a prime number?
Interpretation: False
Let: Is 17389679465 composite?
Interpretation: True
Let: Is 14977297669 prime?
Interpretation: True
Let: Is 298929 composite?
Interpretation: True
Let: Is 117563 composite?
Interpretation: False
Let: Is 14163143 composite?
Interpretation: False
Let: Is 187723 a prime number?
Interpretation: False
Let: Is 6911 composite?
Interpretation: False
Let: Is 168673 composite?
Interpretation: False
Let: Is 31122439 composite?
Interpretation: True
Let: Is 2394641329 prime?
Interpretation: True
Let: Is 6999084669 a prime number?
Interpretation: False
Let: Is 7466372345 a prime number?
Interpretation: False
Let: Is 8479756823 prime?
Interpretation: True
Let: Is 177551131 a composite number?
Interpretation: False
Let: Is 143158009 a prime number?
Interpretation: True
Let: Is 1361 prime?
Interpretation: True
Let: Is 490201 prime?
Interpretation: True
Let: Is 13618117186 a prime number?
Interpretation: False
Let: Is 19407 prime?
Interpretation: False
Let: Is 1594365257 prime?
Interpretation: False
Let: Is 24017630663 a prime number?
Interpretation: False
Let: Is 37537 a prime number?
Interpretation: True
Let: Is 126
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english
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numbers: place value
--------------------
Statement: What is the millions digit of 1948689173?
Eval: 8
Statement: What is the hundreds digit of 3006?
Eval: 0
Statement: What is the units digit of 2053313?
Eval: 3
Statement: What is the tens digit of 7914539?
Eval: 3
Statement: What is the hundreds digit of 3452?
Eval: 4
Statement: What is the units digit of 9646?
Eval: 6
Statement: What is the units digit of 10139202?
Eval: 2
Statement: What is the hundreds digit of 17366285?
Eval: 2
Statement: What is the units digit of 145?
Eval: 5
Statement: What is the units digit of 85778547?
Eval: 7
Statement: What is the hundred millions digit of 8108655019?
Eval: 1
Statement: What is the tens digit of 3202?
Eval: 0
Statement: What is the hundreds digit of 561922?
Eval: 9
Statement: What is the tens digit of 22505?
Eval: 0
Statement: What is the thousands digit of 1061421?
Eval: 1
Statement: What is the tens digit of 2059?
Eval: 5
Statement: What is the units digit of 316?
Eval: 6
Statement: What is the units digit of 10895043?
Eval: 3
Statement: What is the ten thousands digit of 77164?
Eval: 7
Statement: What is the billions digit of 1007824124?
Eval: 1
Statement: What is the millions digit of 14017189?
Eval: 4
Statement: What is the hundred thousands digit of 146655044?
Eval: 6
Statement: What is the hundreds digit of 245883492?
Eval: 4
Statement: What is the ten millions digit of 152715083?
Eval: 5
Statement: What is the thousands digit of 2636?
Eval: 2
Statement: What is the tens digit of 354?
Eval: 5
Statement: What is the ten millions digit of 127702390?
Eval: 2
Statement: What is the units digit of 147129?
Eval: 9
Statement: What is the tens digit of 35603083?
Eval: 8
Statement: What is the tens digit of 773725119?
Eval: 1
Statement: What is the tens digit of 1514?
Eval: 1
Statement: What is the units digit of 68263661?
Eval: 1
Statement: What is the tens digit of 1578?
Eval: 7
Statement: What is the hundreds digit of 379867809?
Eval: 8
Statement: What is the thousand
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english
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probability: swr p level set
----------------------------
Q/A: What is prob of picking 2 m when two letters picked without replacement from {k: 5, m: 5}?
Eval: 2/9
Q/A: Calculate prob of picking 3 z and 1 w when four letters picked without replacement from {m: 1, z: 3, y: 1, d: 3, w: 3}.
Eval: 1/110
Q/A: Four letters picked without replacement from dglglddljdlugglu. What is prob of picking 1 l, 1 j, and 2 g?
Eval: 3/182
Q/A: Two letters picked without replacement from yybyyssyeyysysebyby. Give prob of picking 1 b and 1 s.
Eval: 4/57
Q/A: Calculate prob of picking 1 m, 1 v, and 1 f when three letters picked without replacement from vfvxvxsvvmsxmfm.
Eval: 6/91
Q/A: Calculate prob of picking 2 l and 1 d when three letters picked without replacement from kytdldoolodoo.
Eval: 3/286
Q/A: Four letters picked without replacement from {s: 4, j: 2}. What is prob of picking 1 j and 3 s?
Eval: 8/15
Q/A: Calculate prob of picking 2 d when two letters picked without replacement from {o: 3, d: 2}.
Eval: 1/10
Q/A: What is prob of picking 1 c and 1 f when two letters picked without replacement from rrfrrfrcfbccrr?
Eval: 9/91
Q/A: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {f: 3, m: 3, p: 1, b: 7}.
Eval: 1/13
Q/A: What is prob of picking 3 o and 1 k when four letters picked without replacement from kkokkkkookoo?
Eval: 14/99
Q/A: What is prob of picking 1 v and 1 m when two letters picked without replacement from {a: 2, m: 4, g: 9, v: 1}?
Eval: 1/30
Q/A: Two letters picked without replacement from qqmqqqqcqqbqqqq. Give prob of picking 2 q.
Eval: 22/35
Q/A: Four letters picked without replacement from {t: 5, b: 1, o: 4}. What is prob of picking 2 t and 2 o?
Eval: 2/7
Q/A: What is prob of picking 2 s when two letters picked without replacement from ssssgggsgssssg?
Eval: 36/91
Q/A: Three letters picked without replacement from {y: 3, b: 1, p: 2, c: 3, t: 10}. Give prob of picking 1 y, 1 c, and 1 p.
Eval: 6/323
Q/A: What is prob of picking 2 s a
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english
|
probability: swr p level set
----------------------------
Task: What is prob of picking 4 n when four letters picked without replacement from {w: 4, n: 7}?
Outcome: 7/66
Task: What is prob of picking 1 y, 1 j, and 1 x when three letters picked without replacement from xjjqyxxqbjyj?
Outcome: 6/55
Task: Four letters picked without replacement from {a: 7, b: 6}. Give prob of picking 2 b and 2 a.
Outcome: 63/143
Task: Three letters picked without replacement from ertrhtw. What is prob of picking 2 r and 1 w?
Outcome: 1/35
Task: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {g: 4, l: 1, s: 1, c: 2, y: 2}.
Outcome: 4/45
Task: Two letters picked without replacement from vvv. Give prob of picking 2 v.
Outcome: 1
Task: What is prob of picking 1 q, 1 f, and 2 d when four letters picked without replacement from qfdqhppdqffq?
Outcome: 4/165
Task: Three letters picked without replacement from vllvvl. What is prob of picking 3 v?
Outcome: 1/20
Task: What is prob of picking 1 b and 3 t when four letters picked without replacement from {f: 5, t: 7, b: 8}?
Outcome: 56/969
Task: Four letters picked without replacement from {n: 2, b: 4, v: 4, a: 5}. What is prob of picking 4 v?
Outcome: 1/1365
Task: Calculate prob of picking 2 k when two letters picked without replacement from kllkklkllllkknklkn.
Outcome: 28/153
Task: What is prob of picking 3 h and 1 z when four letters picked without replacement from ozzzxhzhohxzzozhz?
Outcome: 8/595
Task: Three letters picked without replacement from {g: 2, f: 10}. Give prob of picking 1 g and 2 f.
Outcome: 9/22
Task: Three letters picked without replacement from {d: 7, k: 9}. Give prob of picking 3 d.
Outcome: 1/16
Task: Three letters picked without replacement from cafcffaraaaa. Give prob of picking 1 r and 2 f.
Outcome: 3/220
Task: Two letters picked without replacement from rawhu. Give prob of picking 1 a and 1 r.
Outcome: 1/10
Task: What is prob of picking 1 r, 1 h, and 1 d when three letters picked wit
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english
|
numbers: is factor
------------------
Question: Is 22 a factor of 35869?
Math A: False
Question: Is 45109337 a multiple of 13?
Math A: True
Question: Does 2 divide 14993?
Math A: False
Question: Does 13 divide 33566?
Math A: True
Question: Does 3364 divide 426349639?
Math A: False
Question: Is 77627 a multiple of 87?
Math A: False
Question: Is 152298726 a multiple of 165?
Math A: False
Question: Does 42 divide 5347227?
Math A: False
Question: Is 30 a factor of 451710?
Math A: True
Question: Is 165 a factor of 148830?
Math A: True
Question: Does 216 divide 43206518?
Math A: False
Question: Does 112 divide 89040?
Math A: True
Question: Is 43364338 a multiple of 667?
Math A: True
Question: Is 5576107068 a multiple of 9?
Math A: True
Question: Does 135 divide 5940?
Math A: True
Question: Does 3 divide 202?
Math A: False
Question: Is 47776652 a multiple of 408?
Math A: False
Question: Is 106 a factor of 525742?
Math A: False
Question: Does 12 divide 829318932?
Math A: True
Question: Does 41 divide 53773?
Math A: False
Question: Is 1184 a multiple of 32?
Math A: True
Question: Is 37 a factor of 3044?
Math A: False
Question: Does 303 divide 867186?
Math A: True
Question: Is 26938845 a multiple of 279?
Math A: True
Question: Does 94 divide 22654?
Math A: True
Question: Is 32 a factor of 450?
Math A: False
Question: Is 64 a factor of 1354?
Math A: False
Question: Does 174 divide 50808?
Math A: True
Question: Is 10734987 a multiple of 101?
Math A: True
Question: Is 11 a factor of 863623848?
Math A: False
Question: Is 199 a factor of 39800?
Math A: True
Question: Does 15 divide 4470?
Math A: True
Question: Is 65701 a multiple of 136?
Math A: False
Question: Is 1481172928 a multiple of 16?
Math A: True
Question: Is 7524841 a multiple of 23?
Math A: True
Question: Does 42 divide 374?
Math A: False
Question: Is 14 a factor of 383382828?
Math A: False
Question: Is 20870 a multiple of 35?
Math A: False
Question: Is 6 a factor of 822?
Math A: True
Question: Is 167 a factor of 2455?
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|
arithmetic: nearest integer root
--------------------------------
Request: What is the third root of 6937 to the nearest integer?
β: 19
Request: What is the seventh root of 595003152 to the nearest integer?
β: 18
Request: What is 4271 to the power of 1/3, to the nearest integer?
β: 16
Request: What is the square root of 1204565811 to the nearest integer?
β: 34707
Request: What is the seventh root of 49609 to the nearest integer?
β: 5
Request: What is the square root of 4801 to the nearest integer?
β: 69
Request: What is 149479 to the power of 1/3, to the nearest integer?
β: 53
Request: What is the third root of 47233461 to the nearest integer?
β: 361
Request: What is the cube root of 72257057 to the nearest integer?
β: 417
Request: What is the tenth root of 699685013 to the nearest integer?
β: 8
Request: What is the seventh root of 15914685 to the nearest integer?
β: 11
Request: What is 1510858749 to the power of 1/2, to the nearest integer?
β: 38870
Request: What is 1287369 to the power of 1/2, to the nearest integer?
β: 1135
Request: What is 564139 to the power of 1/5, to the nearest integer?
β: 14
Request: What is 218813 to the power of 1/2, to the nearest integer?
β: 468
Request: What is the square root of 87707 to the nearest integer?
β: 296
Request: What is 230168899 to the power of 1/7, to the nearest integer?
β: 16
Request: What is the third root of 8851649 to the nearest integer?
β: 207
Request: What is the ninth root of 105785174 to the nearest integer?
β: 8
Request: What is 55528 to the power of 1/9, to the nearest integer?
β: 3
Request: What is 119369 to the power of 1/4, to the nearest integer?
β: 19
Request: What is the third root of 7635 to the nearest integer?
β: 20
Request: What is the square root of 5119682180 to the nearest integer?
β: 71552
Request: What is the third root of 1160781002 to the nearest integer?
β: 1051
Request: What is the cube root of 349 to the nearest integer?
β: 7
Request: What is 3508 to the power of 1/2, to the nearest intege
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english
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measurement: time
-----------------
Exercise: What is 90 minutes after 3:49 AM?
Fix: 5:19 AM
Exercise: How many minutes are there between 9:01 AM and 7:37 PM?
Fix: 636
Exercise: What is 328 minutes after 7:25 AM?
Fix: 12:53 PM
Exercise: What is 324 minutes before 11:25 PM?
Fix: 6:01 PM
Exercise: How many minutes are there between 12:57 AM and 10:16 AM?
Fix: 559
Exercise: How many minutes are there between 12:36 PM and 12:19 AM?
Fix: 703
Exercise: How many minutes are there between 4:03 AM and 4:38 AM?
Fix: 35
Exercise: What is 292 minutes after 5:53 AM?
Fix: 10:45 AM
Exercise: What is 126 minutes after 3:13 AM?
Fix: 5:19 AM
Exercise: How many minutes are there between 12:14 AM and 9:09 AM?
Fix: 535
Exercise: How many minutes are there between 1:18 PM and 12:15 AM?
Fix: 657
Exercise: What is 67 minutes before 5:04 PM?
Fix: 3:57 PM
Exercise: What is 655 minutes after 12:37 AM?
Fix: 11:32 AM
Exercise: What is 317 minutes before 5:10 AM?
Fix: 11:53 PM
Exercise: How many minutes are there between 5:27 PM and 2:45 AM?
Fix: 558
Exercise: How many minutes are there between 2:19 PM and 7:46 PM?
Fix: 327
Exercise: How many minutes are there between 7:51 PM and 4:03 AM?
Fix: 492
Exercise: What is 709 minutes before 12:13 AM?
Fix: 12:24 PM
Exercise: How many minutes are there between 7:38 PM and 2:41 AM?
Fix: 423
Exercise: How many minutes are there between 10:06 PM and 12:56 AM?
Fix: 170
Exercise: What is 132 minutes after 11:39 AM?
Fix: 1:51 PM
Exercise: How many minutes are there between 11:11 PM and 11:15 PM?
Fix: 4
Exercise: How many minutes are there between 12:12 PM and 8:52 PM?
Fix: 520
Exercise: How many minutes are there between 10:21 PM and 9:46 AM?
Fix: 685
Exercise: How many minutes are there between 12:47 AM and 6:04 AM?
Fix: 317
Exercise: What is 56 minutes before 2:19 PM?
Fix: 1:23 PM
Exercise: What is 156 minutes after 6:42 PM?
Fix: 9:18 PM
Exercise: How many minutes are there between 3:05 AM and 6:00 AM?
Fix: 175
Exercise: How many minutes are there between 7:
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english
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measurement: time
-----------------
Case: How many minutes are there between 11:22 PM and 7:09 AM?
Soln: 467
Case: What is 473 minutes before 5:33 AM?
Soln: 9:40 PM
Case: What is 355 minutes before 1:01 AM?
Soln: 7:06 PM
Case: How many minutes are there between 11:47 PM and 2:23 AM?
Soln: 156
Case: How many minutes are there between 3:51 PM and 1:34 AM?
Soln: 583
Case: What is 265 minutes after 12:43 AM?
Soln: 5:08 AM
Case: What is 705 minutes after 6:57 AM?
Soln: 6:42 PM
Case: How many minutes are there between 2:17 AM and 2:07 PM?
Soln: 710
Case: How many minutes are there between 2:07 AM and 1:04 PM?
Soln: 657
Case: What is 324 minutes after 10:49 AM?
Soln: 4:13 PM
Case: What is 592 minutes before 10:25 PM?
Soln: 12:33 PM
Case: How many minutes are there between 11:30 PM and 7:55 AM?
Soln: 505
Case: How many minutes are there between 4:50 PM and 2:07 AM?
Soln: 557
Case: How many minutes are there between 1:17 AM and 11:42 AM?
Soln: 625
Case: What is 360 minutes before 8:45 PM?
Soln: 2:45 PM
Case: What is 573 minutes after 7:09 AM?
Soln: 4:42 PM
Case: How many minutes are there between 2:53 PM and 8:38 PM?
Soln: 345
Case: How many minutes are there between 11:41 AM and 6:20 PM?
Soln: 399
Case: How many minutes are there between 11:26 AM and 6:05 PM?
Soln: 399
Case: What is 535 minutes before 6:23 AM?
Soln: 9:28 PM
Case: What is 616 minutes before 10:21 PM?
Soln: 12:05 PM
Case: What is 706 minutes after 8:09 AM?
Soln: 7:55 PM
Case: What is 416 minutes after 10:25 PM?
Soln: 5:21 AM
Case: What is 110 minutes after 5:13 PM?
Soln: 7:03 PM
Case: How many minutes are there between 11:13 PM and 4:02 AM?
Soln: 289
Case: How many minutes are there between 1:11 PM and 3:08 PM?
Soln: 117
Case: How many minutes are there between 3:17 AM and 9:43 AM?
Soln: 386
Case: How many minutes are there between 10:42 PM and 8:18 AM?
Soln: 576
Case: How many minutes are there between 9:14 PM and 6:38 AM?
Soln: 564
Case: How many minutes are there between 2:56 PM and 7:35 PM?
Soln: 279
Case
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english
|
probability: swr p level set
----------------------------
Math Problem: Calculate prob of picking 4 u when four letters picked without replacement from {u: 5}.
Resolution: 1
Math Problem: What is prob of picking 1 d and 2 n when three letters picked without replacement from {o: 2, d: 7, n: 2}?
Resolution: 7/165
Math Problem: What is prob of picking 2 r and 1 s when three letters picked without replacement from {i: 2, s: 3, r: 5}?
Resolution: 1/4
Math Problem: What is prob of picking 1 i and 2 y when three letters picked without replacement from cicicyykciiiykiiici?
Resolution: 9/323
Math Problem: What is prob of picking 1 f and 1 q when two letters picked without replacement from tqttqrftftrfttt?
Resolution: 2/35
Math Problem: Four letters picked without replacement from {h: 2, z: 4, y: 3}. What is prob of picking 2 y and 2 z?
Resolution: 1/7
Math Problem: What is prob of picking 1 o and 1 d when two letters picked without replacement from {d: 2, o: 2, g: 4, t: 1, h: 3, b: 3}?
Resolution: 4/105
Math Problem: Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, b: 1, w: 1, a: 5}.
Resolution: 1/15
Math Problem: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {b: 9, p: 1, a: 1, l: 2}.
Resolution: 3/26
Math Problem: Four letters picked without replacement from {l: 3, s: 4, j: 2, c: 2}. Give prob of picking 2 c and 2 l.
Resolution: 1/110
Math Problem: Three letters picked without replacement from zozzzzzzzzeozzezzpz. What is prob of picking 1 o and 2 e?
Resolution: 2/969
Math Problem: What is prob of picking 2 c and 1 g when three letters picked without replacement from {x: 1, z: 3, g: 1, p: 3, h: 1, c: 2}?
Resolution: 1/165
Math Problem: What is prob of picking 1 h and 1 q when two letters picked without replacement from khhhhhhhhhhkqq?
Resolution: 20/91
Math Problem: Three letters picked without replacement from {f: 5}. Give prob of picking 3 f.
Resolution: 1
Math Problem: Four letters picked witho
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english
|
probability: swr p level set
----------------------------
Problem: Calculate prob of picking 2 e and 1 y when three letters picked without replacement from eeyyeeyeymekys.
Soln: 75/364
Problem: What is prob of picking 1 d and 3 i when four letters picked without replacement from iibdiddd?
Soln: 2/35
Problem: Four letters picked without replacement from {r: 14, j: 4}. Give prob of picking 3 r and 1 j.
Soln: 364/765
Problem: What is prob of picking 2 z and 1 u when three letters picked without replacement from {u: 2, j: 5, d: 1, p: 8, z: 3}?
Soln: 2/323
Problem: Two letters picked without replacement from cxoopoiooupp. What is prob of picking 1 c and 1 p?
Soln: 1/22
Problem: Two letters picked without replacement from {h: 2, z: 3, j: 1, o: 4}. Give prob of picking 2 z.
Soln: 1/15
Problem: Calculate prob of picking 2 w when two letters picked without replacement from wxwwwwwwwwwwwww.
Soln: 13/15
Problem: Two letters picked without replacement from {f: 7, p: 1, z: 1, s: 2, i: 5, v: 1}. What is prob of picking 1 z and 1 f?
Soln: 7/136
Problem: Calculate prob of picking 4 q when four letters picked without replacement from pqqqpqrpjppuqqja.
Soln: 3/364
Problem: Two letters picked without replacement from {d: 1, l: 1, g: 1, i: 1, t: 1}. What is prob of picking 1 i and 1 g?
Soln: 1/10
Problem: Two letters picked without replacement from {n: 1, p: 1, d: 1, m: 4, o: 5, b: 1}. What is prob of picking 1 m and 1 n?
Soln: 2/39
Problem: Four letters picked without replacement from {d: 2, j: 3, i: 3, a: 1, u: 1}. What is prob of picking 3 j and 1 d?
Soln: 1/105
Problem: Three letters picked without replacement from fhfffhhffhrffrff. Give prob of picking 3 h.
Soln: 1/140
Problem: What is prob of picking 2 h, 1 k, and 1 g when four letters picked without replacement from hkhghkkghhhk?
Soln: 8/33
Problem: What is prob of picking 3 t and 1 j when four letters picked without replacement from {j: 3, b: 1, t: 4, a: 4, l: 2, n: 3}?
Soln: 3/595
Problem: Three letters picked without replacem
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english
|
probability: swr p sequence
---------------------------
Problem Statement: Three letters picked without replacement from {i: 4, e: 10}. Give prob of sequence eee.
Steps: 30/91
Problem Statement: What is prob of sequence xy when two letters picked without replacement from bfablxy?
Steps: 1/42
Problem Statement: Three letters picked without replacement from zgzzgzzgzgyggg. Give prob of sequence yzz.
Steps: 5/364
Problem Statement: Three letters picked without replacement from ttrzzrtrtt. Give prob of sequence ztt.
Steps: 1/18
Problem Statement: What is prob of sequence sf when two letters picked without replacement from {f: 10, s: 4}?
Steps: 20/91
Problem Statement: What is prob of sequence pppl when four letters picked without replacement from pljlppp?
Steps: 2/35
Problem Statement: Two letters picked without replacement from rrrrrvvamrmrmvvrrrr. Give prob of sequence rv.
Steps: 22/171
Problem Statement: Three letters picked without replacement from mggeggggggeegggggmm. Give prob of sequence eee.
Steps: 1/969
Problem Statement: What is prob of sequence ng when two letters picked without replacement from {c: 4, j: 5, g: 5, t: 1, n: 4}?
Steps: 10/171
Problem Statement: What is prob of sequence zkkv when four letters picked without replacement from {z: 2, o: 1, k: 3, v: 1}?
Steps: 1/70
Problem Statement: Calculate prob of sequence mmc when three letters picked without replacement from mtmmtmmctt.
Steps: 1/36
Problem Statement: What is prob of sequence eee when three letters picked without replacement from {s: 4, k: 1, e: 3, o: 2, d: 1}?
Steps: 1/165
Problem Statement: Calculate prob of sequence nw when two letters picked without replacement from dddkddwdwddnkkdirrw.
Steps: 1/114
Problem Statement: Two letters picked without replacement from dcdcj. What is prob of sequence dc?
Steps: 1/5
Problem Statement: Four letters picked without replacement from giiiuiiiig. What is prob of sequence giug?
Steps: 1/360
Problem Statement: Two letters picked without replacement from {j:
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english
|
numbers: div remainder
----------------------
Q.: Calculate the remainder when 525770 is divided by 3266.
Key: 3210
Q.: What is the remainder when 1577504 is divided by 47?
Key: 43
Q.: What is the remainder when 1289992 is divided by 651?
Key: 361
Q.: Calculate the remainder when 48508 is divided by 147.
Key: 145
Q.: Calculate the remainder when 4886 is divided by 136.
Key: 126
Q.: What is the remainder when 9223029 is divided by 13?
Key: 10
Q.: What is the remainder when 2359 is divided by 64?
Key: 55
Q.: What is the remainder when 1696 is divided by 1685?
Key: 11
Q.: Calculate the remainder when 120 is divided by 62.
Key: 58
Q.: What is the remainder when 1314361 is divided by 290?
Key: 81
Q.: What is the remainder when 240 is divided by 46?
Key: 10
Q.: What is the remainder when 12094 is divided by 8?
Key: 6
Q.: What is the remainder when 576562 is divided by 1343?
Key: 415
Q.: Calculate the remainder when 93807 is divided by 164.
Key: 163
Q.: What is the remainder when 468 is divided by 164?
Key: 140
Q.: What is the remainder when 2493 is divided by 232?
Key: 173
Q.: Calculate the remainder when 46631 is divided by 348.
Key: 347
Q.: Calculate the remainder when 339320 is divided by 716.
Key: 652
Q.: What is the remainder when 177067 is divided by 233?
Key: 220
Q.: Calculate the remainder when 56 is divided by 11.
Key: 1
Q.: What is the remainder when 4981283 is divided by 87?
Key: 11
Q.: What is the remainder when 52 is divided by 10?
Key: 2
Q.: Calculate the remainder when 35572 is divided by 98.
Key: 96
Q.: Calculate the remainder when 5475388 is divided by 5475388.
Key: 0
Q.: Calculate the remainder when 712071 is divided by 1846.
Key: 1361
Q.: Calculate the remainder when 39577 is divided by 39.
Key: 31
Q.: What is the remainder when 540260 is divided by 28428?
Key: 128
Q.: What is the remainder when 98979 is divided by 14?
Key: 13
Q.: What is the remainder when 145260 is divided by 112?
Key: 108
Q.: Calculate the remainder when 386535 is divided by 69.
Key:
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english
|
measurement: time
-----------------
Issue: How many minutes are there between 2:10 AM and 11:55 AM?
Yields: 585
Issue: What is 172 minutes after 11:44 PM?
Yields: 2:36 AM
Issue: How many minutes are there between 5:08 AM and 1:13 PM?
Yields: 485
Issue: How many minutes are there between 5:52 PM and 10:50 PM?
Yields: 298
Issue: How many minutes are there between 4:15 PM and 6:37 PM?
Yields: 142
Issue: What is 345 minutes before 3:06 PM?
Yields: 9:21 AM
Issue: What is 209 minutes after 10:35 AM?
Yields: 2:04 PM
Issue: What is 607 minutes after 1:35 AM?
Yields: 11:42 AM
Issue: What is 6 minutes after 2:53 PM?
Yields: 2:59 PM
Issue: What is 266 minutes after 12:18 AM?
Yields: 4:44 AM
Issue: What is 360 minutes before 12:51 PM?
Yields: 6:51 AM
Issue: How many minutes are there between 11:50 AM and 11:18 PM?
Yields: 688
Issue: How many minutes are there between 3:38 PM and 7:07 PM?
Yields: 209
Issue: What is 293 minutes after 9:25 AM?
Yields: 2:18 PM
Issue: What is 283 minutes before 5:17 PM?
Yields: 12:34 PM
Issue: How many minutes are there between 7:29 PM and 9:29 PM?
Yields: 120
Issue: How many minutes are there between 5:19 AM and 3:46 PM?
Yields: 627
Issue: How many minutes are there between 4:28 PM and 4:18 AM?
Yields: 710
Issue: What is 428 minutes after 12:45 PM?
Yields: 7:53 PM
Issue: What is 490 minutes before 2:41 PM?
Yields: 6:31 AM
Issue: How many minutes are there between 11:36 AM and 8:34 PM?
Yields: 538
Issue: What is 597 minutes after 1:44 PM?
Yields: 11:41 PM
Issue: How many minutes are there between 10:24 PM and 9:21 AM?
Yields: 657
Issue: How many minutes are there between 7:34 AM and 12:08 PM?
Yields: 274
Issue: What is 323 minutes before 2:25 PM?
Yields: 9:02 AM
Issue: How many minutes are there between 11:47 PM and 11:14 AM?
Yields: 687
Issue: How many minutes are there between 6:43 PM and 8:43 PM?
Yields: 120
Issue: How many minutes are there between 6:54 PM and 8:26 PM?
Yields: 92
Issue: How many minutes are there between 9:51 PM and 6:19 AM?
Yie
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english
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numbers: is factor
------------------
Math Problem: Does 245 divide 8115150?
Result: False
Math Problem: Is 94 a factor of 135078?
Result: True
Math Problem: Is 27966552 a multiple of 1847?
Result: False
Math Problem: Does 4 divide 1112611070?
Result: False
Math Problem: Is 5 a factor of 2070?
Result: True
Math Problem: Is 1900 a multiple of 25?
Result: True
Math Problem: Is 357121830 a multiple of 10?
Result: True
Math Problem: Does 8 divide 255912?
Result: True
Math Problem: Does 17 divide 135191?
Result: False
Math Problem: Is 251622 a multiple of 18?
Result: True
Math Problem: Is 11 a factor of 1216390?
Result: False
Math Problem: Is 204484 a multiple of 268?
Result: True
Math Problem: Is 641708 a multiple of 57?
Result: False
Math Problem: Does 74 divide 8421348?
Result: True
Math Problem: Is 347671 a multiple of 35?
Result: False
Math Problem: Is 327160 a multiple of 7?
Result: False
Math Problem: Does 28 divide 406476?
Result: True
Math Problem: Is 718 a multiple of 12?
Result: False
Math Problem: Does 426 divide 5666226?
Result: True
Math Problem: Is 608 a factor of 112639944?
Result: False
Math Problem: Is 479 a factor of 340722280?
Result: True
Math Problem: Does 9 divide 19230193?
Result: False
Math Problem: Is 8096 a multiple of 16?
Result: True
Math Problem: Is 8413117 a multiple of 13?
Result: False
Math Problem: Does 8498 divide 860923882?
Result: True
Math Problem: Is 180 a factor of 847?
Result: False
Math Problem: Is 36671535 a multiple of 327?
Result: False
Math Problem: Is 619 a factor of 16654814?
Result: True
Math Problem: Does 20 divide 18413440?
Result: True
Math Problem: Is 28 a factor of 23501?
Result: False
Math Problem: Is 182 a factor of 182730?
Result: False
Math Problem: Does 198 divide 6310668?
Result: False
Math Problem: Is 28 a factor of 61250874?
Result: False
Math Problem: Is 31 a factor of 3691?
Result: False
Math Problem: Is 3 a factor of 5163?
Result: True
Math Problem: Does 42 divide 11634?
Result: True
Math Problem: Is 119400
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english
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arithmetic: nearest integer root
--------------------------------
Q: What is the third root of 190885290 to the nearest integer?
Hence: 576
Q: What is the square root of 38136118 to the nearest integer?
Hence: 6175
Q: What is the eighth root of 698338658 to the nearest integer?
Hence: 13
Q: What is the third root of 1173186369 to the nearest integer?
Hence: 1055
Q: What is the third root of 6574256971 to the nearest integer?
Hence: 1873
Q: What is the cube root of 1223960 to the nearest integer?
Hence: 107
Q: What is 83447237 to the power of 1/9, to the nearest integer?
Hence: 8
Q: What is the third root of 335463869 to the nearest integer?
Hence: 695
Q: What is 9572 to the power of 1/3, to the nearest integer?
Hence: 21
Q: What is the sixth root of 55665868 to the nearest integer?
Hence: 20
Q: What is 171163 to the power of 1/6, to the nearest integer?
Hence: 7
Q: What is the cube root of 1470557 to the nearest integer?
Hence: 114
Q: What is the seventh root of 5194012 to the nearest integer?
Hence: 9
Q: What is 3793 to the power of 1/3, to the nearest integer?
Hence: 16
Q: What is the eighth root of 23522 to the nearest integer?
Hence: 4
Q: What is 631523410 to the power of 1/2, to the nearest integer?
Hence: 25130
Q: What is the fifth root of 337195 to the nearest integer?
Hence: 13
Q: What is 306287466 to the power of 1/8, to the nearest integer?
Hence: 12
Q: What is 391478 to the power of 1/10, to the nearest integer?
Hence: 4
Q: What is 220402 to the power of 1/2, to the nearest integer?
Hence: 469
Q: What is the ninth root of 75946 to the nearest integer?
Hence: 3
Q: What is 7936 to the power of 1/4, to the nearest integer?
Hence: 9
Q: What is 794435 to the power of 1/4, to the nearest integer?
Hence: 30
Q: What is the fourth root of 2438426 to the nearest integer?
Hence: 40
Q: What is the cube root of 2782976 to the nearest integer?
Hence: 141
Q: What is the square root of 7835 to the nearest integer?
Hence: 89
Q: What is the cube root of 312846 to the neare
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english
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measurement: time
-----------------
Q/A: What is 331 minutes before 1:48 PM?
Derivation: 8:17 AM
Q/A: How many minutes are there between 12:05 PM and 7:30 PM?
Derivation: 445
Q/A: How many minutes are there between 9:32 AM and 2:41 PM?
Derivation: 309
Q/A: How many minutes are there between 4:01 PM and 12:17 AM?
Derivation: 496
Q/A: How many minutes are there between 4:56 PM and 3:27 AM?
Derivation: 631
Q/A: What is 468 minutes after 8:18 AM?
Derivation: 4:06 PM
Q/A: What is 680 minutes after 11:24 AM?
Derivation: 10:44 PM
Q/A: What is 472 minutes after 12:44 AM?
Derivation: 8:36 AM
Q/A: What is 457 minutes before 10:03 AM?
Derivation: 2:26 AM
Q/A: How many minutes are there between 4:24 PM and 12:01 AM?
Derivation: 457
Q/A: What is 328 minutes after 7:58 PM?
Derivation: 1:26 AM
Q/A: What is 11 minutes after 1:39 AM?
Derivation: 1:50 AM
Q/A: What is 244 minutes before 3:35 AM?
Derivation: 11:31 PM
Q/A: How many minutes are there between 5:15 AM and 10:25 AM?
Derivation: 310
Q/A: How many minutes are there between 11:54 PM and 9:38 AM?
Derivation: 584
Q/A: How many minutes are there between 5:39 PM and 10:39 PM?
Derivation: 300
Q/A: What is 91 minutes before 5:03 PM?
Derivation: 3:32 PM
Q/A: How many minutes are there between 10:45 AM and 4:51 PM?
Derivation: 366
Q/A: How many minutes are there between 2:08 PM and 1:11 AM?
Derivation: 663
Q/A: What is 277 minutes before 11:29 AM?
Derivation: 6:52 AM
Q/A: What is 103 minutes after 7:26 PM?
Derivation: 9:09 PM
Q/A: How many minutes are there between 3:08 AM and 5:54 AM?
Derivation: 166
Q/A: What is 657 minutes before 9:00 AM?
Derivation: 10:03 PM
Q/A: How many minutes are there between 6:13 AM and 11:54 AM?
Derivation: 341
Q/A: How many minutes are there between 8:24 PM and 3:14 AM?
Derivation: 410
Q/A: What is 158 minutes after 6:40 PM?
Derivation: 9:18 PM
Q/A: What is 689 minutes after 10:54 AM?
Derivation: 10:23 PM
Q/A: How many minutes are there between 10:39 AM and 10:53 AM?
Derivation: 14
Q/A: What is 265 minutes
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english
|
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