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probability: swr p level set
----------------------------
Problem #: Two letters picked without replacement from {k: 1, q: 2, g: 2, p: 2, s: 5, t: 2}. Give prob of picking 1 s and 1 t.
Response: 10/91
Problem #: Three letters picked without replacement from wjwjwjjjwwwj. What is prob of picking 3 w?
Response: 1/11
Prob... | english |
numbers: place value
--------------------
Subject: What is the units digit of 1153?
Response: 3
Subject: What is the hundreds digit of 435?
Response: 4
Subject: What is the thousands digit of 626184?
Response: 6
Subject: What is the hundreds digit of 95137540?
Response: 5
Subject: What is the units digit of 42234?
Resp... | english |
numbers: gcd
------------
Request: What is the highest common factor of 3520 and 130570?
Final Answer: 110
Request: Calculate the greatest common factor of 1916375 and 125.
Final Answer: 125
Request: What is the greatest common factor of 12 and 446?
Final Answer: 2
Request: Calculate the greatest common divisor of 3 an... | english |
numbers: is factor
------------------
Prompt: Is 22414 a multiple of 22?
Compute: False
Prompt: Is 9128 a multiple of 39?
Compute: False
Prompt: Does 15 divide 1782?
Compute: False
Prompt: Is 1280916 a multiple of 69?
Compute: True
Prompt: Does 24 divide 701?
Compute: False
Prompt: Is 3136 a multiple of 3?
Compute: Fal... | english |
numbers: is prime
-----------------
Q=: Is 4883 a prime number?
Calculation: False
Q=: Is 10972015 a composite number?
Calculation: True
Q=: Is 51967339 prime?
Calculation: False
Q=: Is 49777579 prime?
Calculation: True
Q=: Is 3617573 a prime number?
Calculation: False
Q=: Is 391328926 composite?
Calculation: True
Q=: ... | english |
numbers: gcd
------------
Ask: Calculate the highest common factor of 5684 and 232.
Steps: 116
Ask: What is the greatest common factor of 15627 and 23164423?
Steps: 5209
Ask: Calculate the greatest common divisor of 261 and 131747.
Steps: 29
Ask: Calculate the highest common divisor of 2793 and 294.
Steps: 147
Ask: Cal... | english |
probability: swr p sequence
---------------------------
What if: Two letters picked without replacement from ghhghiiihgiihqwiiq. What is prob of sequence gh?
Derivation: 5/102
What if: Four letters picked without replacement from {h: 1, w: 1, y: 3}. What is prob of sequence yywh?
Derivation: 1/20
What if: Three letters... | english |
numbers: place value
--------------------
Prompt: What is the hundreds digit of 2194870?
Outcome: 8
Prompt: What is the tens digit of 1058423?
Outcome: 2
Prompt: What is the tens digit of 476?
Outcome: 7
Prompt: What is the units digit of 406202?
Outcome: 2
Prompt: What is the thousands digit of 5057114692?
Outcome: 4
... | english |
arithmetic: nearest integer root
--------------------------------
Statement: What is 2236513699 to the power of 1/2, to the nearest integer?
Therefore: 47292
Statement: What is 16845334 to the power of 1/3, to the nearest integer?
Therefore: 256
Statement: What is the sixth root of 5539 to the nearest integer?
Therefor... | english |
numbers: gcd
------------
Statement: Calculate the greatest common divisor of 28879 and 5.
Finding: 1
Statement: Calculate the greatest common factor of 2499 and 294.
Finding: 147
Statement: Calculate the greatest common factor of 784 and 16.
Finding: 16
Statement: Calculate the greatest common factor of 80561 and 13.
... | english |
numbers: is prime
-----------------
Exercise: Is 871593329 a composite number?
Resolution: False
Exercise: Is 120041 composite?
Resolution: False
Exercise: Is 104245 a prime number?
Resolution: False
Exercise: Is 799 a prime number?
Resolution: False
Exercise: Is 15629959 prime?
Resolution: True
Exercise: Is 450469 com... | english |
probability: swr p level set
----------------------------
Problem Statement: What is prob of picking 1 u and 1 r when two letters picked without replacement from uwkarar?
Fix: 2/21
Problem Statement: What is prob of picking 2 l when two letters picked without replacement from nwl?
Fix: 0
Problem Statement: Two letters ... | english |
numbers: lcm
------------
Test item: Calculate the least common multiple of 363 and 891.
Solution: 9801
Test item: Find the common denominator of -47/688 and -145/36.
Solution: 6192
Test item: Calculate the common denominator of 29/242634 and 69/144902.
Solution: 331680678
Test item: Calculate the lowest common multipl... | english |
numbers: is factor
------------------
Test item: Is 781 a multiple of 11?
Answer: True
Test item: Does 57 divide 11551?
Answer: False
Test item: Is 44476 a multiple of 3?
Answer: False
Test item: Is 30 a factor of 325144500?
Answer: True
Test item: Is 4 a factor of 20447?
Answer: False
Test item: Does 499 divide 2994?
... | english |
numbers: gcd
------------
Given: What is the greatest common factor of 1064 and 448?
Compute: 56
Given: Calculate the greatest common factor of 105395 and 127865.
Compute: 535
Given: What is the greatest common divisor of 352 and 122848?
Compute: 352
Given: What is the greatest common divisor of 141 and 13071687?
Compu... | english |
probability: swr p sequence
---------------------------
Ask: Two letters picked without replacement from lcyjq. Give prob of sequence cj.
Output: 1/20
Ask: Calculate prob of sequence jcg when three letters picked without replacement from cddccgdccgjdgrc.
Output: 3/455
Ask: Two letters picked without replacement from {w... | english |
numbers: is prime
-----------------
Prompt: Is 141871 a prime number?
Outcome: True
Prompt: Is 300688247 prime?
Outcome: True
Prompt: Is 228187 prime?
Outcome: False
Prompt: Is 22582206511 a composite number?
Outcome: False
Prompt: Is 2336381 a prime number?
Outcome: True
Prompt: Is 25563 a composite number?
Outcome: T... | english |
numbers: is factor
------------------
Request: Does 17 divide 425?
Explanation: True
Request: Is 6963233310 a multiple of 27?
Explanation: True
Request: Is 11 a factor of 64016635?
Explanation: False
Request: Is 11189 a factor of 6074184839?
Explanation: False
Request: Is 66 a factor of 313764?
Explanation: True
Reques... | english |
probability: swr p level set
----------------------------
Qn: Three letters picked without replacement from {j: 4, y: 7, c: 6}. Give prob of picking 1 j and 2 c.
Sol: 3/34
Qn: What is prob of picking 2 n, 1 w, and 1 x when four letters picked without replacement from {j: 2, x: 1, n: 2, w: 1}?
Sol: 1/15
Qn: What is prob... | english |
numbers: place value
--------------------
Item: What is the units digit of 2713687?
A: 7
Item: What is the hundred thousands digit of 7055532?
A: 0
Item: What is the ten thousands digit of 592793349?
A: 9
Item: What is the thousands digit of 393038730?
A: 8
Item: What is the hundreds digit of 37826784?
A: 7
Item: What ... | english |
numbers: is factor
------------------
Exercise: Is 33074 a multiple of 103?
Calculation: False
Exercise: Is 10 a factor of 22694299?
Calculation: False
Exercise: Does 815 divide 10401425?
Calculation: False
Exercise: Is 42 a factor of 197122?
Calculation: False
Exercise: Does 122 divide 627877?
Calculation: False
Exerc... | english |
measurement: time
-----------------
Qn: What is 36 minutes after 10:19 PM?
Answer: 10:55 PM
Qn: What is 647 minutes before 8:10 PM?
Answer: 9:23 AM
Qn: What is 445 minutes before 4:54 PM?
Answer: 9:29 AM
Qn: What is 274 minutes before 9:54 PM?
Answer: 5:20 PM
Qn: How many minutes are there between 6:06 PM and 3:42 AM?
... | english |
numbers: is factor
------------------
Let us solve: Does 136 divide 340892704?
Finding: True
Let us solve: Is 230 a factor of 65271?
Finding: False
Let us solve: Does 98 divide 1274?
Finding: True
Let us solve: Does 52 divide 7644?
Finding: True
Let us solve: Does 540 divide 1526580?
Finding: True
Let us solve: Is 1342... | english |
numbers: is factor
------------------
Part A: Is 104 a factor of 6240?
Response: True
Part A: Is 9 a factor of 4140?
Response: True
Part A: Is 3 a factor of 111587?
Response: False
Part A: Does 4099 divide 2156217465?
Response: True
Part A: Does 275 divide 6809398?
Response: False
Part A: Is 169510 a multiple of 67?
Re... | english |
probability: swr p level set
----------------------------
Question: Three letters picked without replacement from {v: 15, d: 4}. Give prob of picking 2 d and 1 v.
Response: 30/323
Question: Two letters picked without replacement from {w: 1, r: 2, n: 4}. Give prob of picking 2 n.
Response: 2/7
Question: Two letters pick... | english |
numbers: div remainder
----------------------
Task: Calculate the remainder when 1789 is divided by 39.
Clarification: 34
Task: What is the remainder when 161 is divided by 27?
Clarification: 26
Task: Calculate the remainder when 56667 is divided by 77.
Clarification: 72
Task: Calculate the remainder when 14544 is divi... | english |
numbers: gcd
------------
Q-: What is the greatest common divisor of 21 and 16709021?
Workthrough: 7
Q-: Calculate the greatest common factor of 3380 and 5222945.
Workthrough: 845
Q-: Calculate the highest common factor of 39 and 543.
Workthrough: 3
Q-: Calculate the greatest common factor of 184 and 1264.
Workthrough:... | english |
probability: swr p level set
----------------------------
Q): Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {k: 5, j: 3, c: 1, a: 1}.
A: 1/15
Q): Two letters picked without replacement from {a: 2, k: 1}. Give prob of picking 2 a.
A: 1/3
Q): Three letters picked without replaceme... | english |
numbers: place value
--------------------
Problem: What is the units digit of 787?
Reply: 7
Problem: What is the hundreds digit of 469?
Reply: 4
Problem: What is the units digit of 1388?
Reply: 8
Problem: What is the hundreds digit of 480?
Reply: 4
Problem: What is the millions digit of 2299166?
Reply: 2
Problem: What ... | english |
arithmetic: nearest integer root
--------------------------------
Item: What is the square root of 12904 to the nearest integer?
Derivation: 114
Item: What is 16584701 to the power of 1/9, to the nearest integer?
Derivation: 6
Item: What is 35816 to the power of 1/2, to the nearest integer?
Derivation: 189
Item: What i... | english |
numbers: place value
--------------------
Subquestion: What is the thousands digit of 35886?
Compute: 5
Subquestion: What is the hundreds digit of 503202?
Compute: 2
Subquestion: What is the ten thousands digit of 138898?
Compute: 3
Subquestion: What is the units digit of 95052?
Compute: 2
Subquestion: What is the tens... | english |
numbers: place value
--------------------
Qn: What is the hundreds digit of 4412?
Answer: 4
Qn: What is the hundred thousands digit of 928007391?
Answer: 0
Qn: What is the units digit of 187803?
Answer: 3
Qn: What is the units digit of 6214069?
Answer: 9
Qn: What is the hundred thousands digit of 4755542901?
Answer: 5
... | english |
measurement: time
-----------------
Problem #: How many minutes are there between 11:46 AM and 9:29 PM?
Eval: 583
Problem #: How many minutes are there between 9:24 PM and 10:52 PM?
Eval: 88
Problem #: How many minutes are there between 10:20 PM and 10:07 AM?
Eval: 707
Problem #: What is 194 minutes before 6:16 PM?
Eva... | english |
measurement: time
-----------------
Given: How many minutes are there between 12:27 PM and 10:57 PM?
Final Answer: 630
Given: What is 302 minutes after 4:50 AM?
Final Answer: 9:52 AM
Given: What is 323 minutes after 5:10 AM?
Final Answer: 10:33 AM
Given: What is 202 minutes before 12:48 AM?
Final Answer: 9:26 PM
Given:... | english |
measurement: time
-----------------
Prompt: How many minutes are there between 1:17 PM and 12:56 AM?
Explanation: 699
Prompt: How many minutes are there between 8:35 PM and 3:39 AM?
Explanation: 424
Prompt: How many minutes are there between 2:05 PM and 11:03 PM?
Explanation: 538
Prompt: What is 490 minutes before 10:5... | english |
arithmetic: nearest integer root
--------------------------------
Issue: What is 34587674 to the power of 1/2, to the nearest integer?
Answer: 5881
Issue: What is 4664 to the power of 1/6, to the nearest integer?
Answer: 4
Issue: What is 242075 to the power of 1/10, to the nearest integer?
Answer: 3
Issue: What is the ... | english |
numbers: gcd
------------
Math Q: What is the greatest common factor of 162291 and 141?
Reply: 141
Math Q: What is the greatest common divisor of 14048 and 5831237?
Reply: 439
Math Q: What is the highest common divisor of 25762 and 18227?
Reply: 11
Math Q: Calculate the greatest common divisor of 76 and 52297918.
Reply... | english |
numbers: gcd
------------
Challenge: Calculate the greatest common factor of 9028 and 5246.
Calculation: 122
Challenge: Calculate the greatest common divisor of 36 and 5100.
Calculation: 12
Challenge: Calculate the greatest common factor of 8540 and 4340.
Calculation: 140
Challenge: What is the highest common divisor o... | english |
numbers: is factor
------------------
Qn: Does 121 divide 18513?
Calculation: True
Qn: Is 53 a multiple of 3?
Calculation: False
Qn: Is 2450 a factor of 610604811?
Calculation: False
Qn: Does 5 divide 122441?
Calculation: False
Qn: Is 114 a factor of 19597?
Calculation: False
Qn: Is 3399825 a multiple of 325?
Calculati... | english |
numbers: is factor
------------------
Part A: Is 1617893 a multiple of 6?
Calculation: False
Part A: Is 7 a factor of 177560651?
Calculation: False
Part A: Is 12 a factor of 14616?
Calculation: True
Part A: Is 328 a factor of 2656581?
Calculation: False
Part A: Is 4338466 a multiple of 22?
Calculation: True
Part A: Is ... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is the fourth root of 263594 to the nearest integer?
Interpretation: 23
Prompt: What is 2980086466 to the power of 1/6, to the nearest integer?
Interpretation: 38
Prompt: What is the fourth root of 4411925458 to the nearest integer?
Interpre... | english |
measurement: time
-----------------
Task: How many minutes are there between 7:13 PM and 9:53 PM?
Compute: 160
Task: How many minutes are there between 6:13 PM and 9:19 PM?
Compute: 186
Task: What is 359 minutes before 4:39 AM?
Compute: 10:40 PM
Task: How many minutes are there between 10:39 PM and 10:59 PM?
Compute: 2... | english |
numbers: is prime
-----------------
Task: Is 34927 a prime number?
Solution: False
Task: Is 15527 a prime number?
Solution: True
Task: Is 24433049 prime?
Solution: False
Task: Is 5299878479 a composite number?
Solution: True
Task: Is 24347 a prime number?
Solution: False
Task: Is 547251 composite?
Solution: True
Task: ... | english |
numbers: gcd
------------
What if: Calculate the highest common divisor of 45 and 2655.
Key: 45
What if: What is the greatest common divisor of 363 and 3403851?
Key: 363
What if: What is the greatest common factor of 3848 and 175494848?
Key: 296
What if: Calculate the greatest common divisor of 260 and 9521120.
Key: 20... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is the square root of 10509384 to the nearest integer?
Derivation: 3242
Example: What is 69458801 to the power of 1/2, to the nearest integer?
Derivation: 8334
Example: What is the ninth root of 2308163649 to the nearest integer?
Derivation... | english |
probability: swr p sequence
---------------------------
Challenge: Four letters picked without replacement from {q: 7, s: 2}. Give prob of sequence qqss.
→: 1/36
Challenge: What is prob of sequence fv when two letters picked without replacement from {l: 1, v: 1, f: 3, m: 11, x: 3}?
→: 1/114
Challenge: Three letters pic... | english |
numbers: is prime
-----------------
Task: Is 7578668071 prime?
Response: False
Task: Is 21763 prime?
Response: False
Task: Is 16621 prime?
Response: False
Task: Is 814535 composite?
Response: True
Task: Is 4999 composite?
Response: False
Task: Is 4043 a composite number?
Response: True
Task: Is 48721731533 a composite ... | english |
probability: swr p level set
----------------------------
Exercise: Two letters picked without replacement from {o: 2, m: 4, h: 3, p: 2}. What is prob of picking 1 h and 1 p?
Derivation: 6/55
Exercise: Four letters picked without replacement from fciffzfzfzifcfc. Give prob of picking 3 z and 1 i.
Derivation: 2/1365
Exe... | english |
numbers: place value
--------------------
Issue: What is the ten thousands digit of 350798249?
Response: 9
Issue: What is the ten millions digit of 20339173?
Response: 2
Issue: What is the millions digit of 16606859?
Response: 6
Issue: What is the hundred thousands digit of 99139504?
Response: 1
Issue: What is the tens... | english |
numbers: is factor
------------------
Statement: Is 15 a factor of 10366?
Key: False
Statement: Is 9 a factor of 725195?
Key: False
Statement: Does 15 divide 70889175?
Key: True
Statement: Is 30 a factor of 31830?
Key: True
Statement: Does 16 divide 2457648?
Key: True
Statement: Is 21529945 a multiple of 19?
Key: True
... | english |
probability: swr p sequence
---------------------------
Item: Two letters picked without replacement from ultuxuuud. Give prob of sequence ud.
Interpretation: 5/72
Item: Two letters picked without replacement from {a: 2, c: 1, y: 2, g: 1, b: 2}. What is prob of sequence yb?
Interpretation: 1/14
Item: What is prob of se... | english |
numbers: place value
--------------------
Request: What is the ten millions digit of 683141206?
Conclusion: 8
Request: What is the hundreds digit of 42749?
Conclusion: 7
Request: What is the hundreds digit of 1073365?
Conclusion: 3
Request: What is the hundreds digit of 57374213?
Conclusion: 2
Request: What is the mill... | english |
probability: swr p sequence
---------------------------
Q): Two letters picked without replacement from {z: 5, c: 5}. Give prob of sequence zc.
Gives: 5/18
Q): Calculate prob of sequence ujj when three letters picked without replacement from ujjjrre.
Gives: 1/35
Q): Four letters picked without replacement from iiirir. ... | english |
probability: swr p sequence
---------------------------
Example: What is prob of sequence jja when three letters picked without replacement from ajcjjjhjh?
Resolution: 5/126
Example: Three letters picked without replacement from {a: 1, s: 2, h: 1, u: 2, e: 1, o: 2}. Give prob of sequence ush.
Resolution: 1/126
Example:... | english |
numbers: is prime
-----------------
Let: Is 3171006467 a composite number?
Output: False
Let: Is 576730241 a prime number?
Output: False
Let: Is 575837 a composite number?
Output: False
Let: Is 46228821673 composite?
Output: False
Let: Is 1648516403 prime?
Output: True
Let: Is 351616481 a composite number?
Output: Fals... | english |
measurement: conversion
-----------------------
Question: What is 32/5 of a tonne in kilograms?
Solution: 6400
Question: Convert 5.865541 centuries to months.
Solution: 7038.6492
Question: What is 31/2 of a centimeter in millimeters?
Solution: 155
Question: What is 8/3 of a hour in seconds?
Solution: 9600
Question: How... | english |
numbers: is prime
-----------------
Example: Is 383784491 a prime number?
Hence: True
Example: Is 1779192029 composite?
Hence: False
Example: Is 9411 a prime number?
Hence: False
Example: Is 219979951 composite?
Hence: True
Example: Is 78526896901 a composite number?
Hence: True
Example: Is 3033229 a prime number?
Henc... | english |
numbers: div remainder
----------------------
Inquiry: What is the remainder when 38577049 is divided by 4822130?
Math A: 9
Inquiry: Calculate the remainder when 67406 is divided by 22464.
Math A: 14
Inquiry: What is the remainder when 247497 is divided by 100?
Math A: 97
Inquiry: Calculate the remainder when 400 is di... | english |
measurement: time
-----------------
Problem: How many minutes are there between 7:06 AM and 9:56 AM?
Answer: 170
Problem: What is 572 minutes after 5:50 PM?
Answer: 3:22 AM
Problem: What is 56 minutes before 9:11 AM?
Answer: 8:15 AM
Problem: What is 662 minutes after 11:23 AM?
Answer: 10:25 PM
Problem: What is 587 minu... | english |
arithmetic: nearest integer root
--------------------------------
Issue: What is the eighth root of 1528421 to the nearest integer?
Reply: 6
Issue: What is the seventh root of 11677587 to the nearest integer?
Reply: 10
Issue: What is the third root of 153619 to the nearest integer?
Reply: 54
Issue: What is the cube roo... | english |
measurement: conversion
-----------------------
Issue: What is 90.7765 litres in millilitres?
Calculation: 90776.5
Issue: How many millilitres are there in 8/25 of a litre?
Calculation: 320
Issue: How many days are there in 1.8300783 hours?
Calculation: 0.0762532625
Issue: What is one fifth of a millimeter in micromete... | english |
probability: swr p sequence
---------------------------
Qn: What is prob of sequence hyy when three letters picked without replacement from hyyhyyyhyyyyyyd?
Sol: 11/91
Qn: What is prob of sequence mkmm when four letters picked without replacement from kmlmkkimkelmmi?
Sol: 10/1001
Qn: What is prob of sequence lb when tw... | english |
numbers: is factor
------------------
Question: Does 814 divide 1874352386?
Workthrough: False
Question: Does 416 divide 2364006?
Workthrough: False
Question: Is 9 a factor of 355901?
Workthrough: False
Question: Does 349 divide 34551?
Workthrough: True
Question: Does 2 divide 54482673?
Workthrough: False
Question: Is ... | english |
numbers: div remainder
----------------------
Inquiry: What is the remainder when 2460938 is divided by 116?
Ans: 114
Inquiry: What is the remainder when 282743 is divided by 231?
Ans: 230
Inquiry: Calculate the remainder when 10734 is divided by 228.
Ans: 18
Inquiry: What is the remainder when 493 is divided by 244?
A... | english |
numbers: is factor
------------------
Issue: Is 224 a multiple of 16?
Therefore: True
Issue: Is 15 a factor of 1485?
Therefore: True
Issue: Is 585 a multiple of 65?
Therefore: True
Issue: Is 118 a factor of 2935132?
Therefore: True
Issue: Does 14 divide 910?
Therefore: True
Issue: Is 403556 a multiple of 466?
Therefore... | english |
arithmetic: nearest integer root
--------------------------------
Problem: What is the cube root of 2561945 to the nearest integer?
Solution: 137
Problem: What is 2271 to the power of 1/5, to the nearest integer?
Solution: 5
Problem: What is the fifth root of 2784761 to the nearest integer?
Solution: 19
Problem: What i... | english |
probability: swr p level set
----------------------------
Problem #: Three letters picked without replacement from {e: 2, h: 8, m: 1, g: 6, c: 1}. Give prob of picking 1 m, 1 h, and 1 c.
= : 1/102
Problem #: Three letters picked without replacement from {s: 7, i: 6}. Give prob of picking 2 i and 1 s.
= : 105/286
Proble... | english |
numbers: place value
--------------------
Question: What is the tens digit of 698?
Eval: 9
Question: What is the hundred thousands digit of 7964709?
Eval: 9
Question: What is the hundreds digit of 208888?
Eval: 8
Question: What is the billions digit of 1512670990?
Eval: 1
Question: What is the ten thousands digit of 83... | english |
probability: swr p sequence
---------------------------
Q.: Calculate prob of sequence rwrw when four letters picked without replacement from {f: 6, r: 4, w: 4}.
Finding: 6/1001
Q.: Calculate prob of sequence na when two letters picked without replacement from {r: 3, n: 1, k: 1, d: 8, a: 1, g: 2}.
Finding: 1/240
Q.: Wh... | english |
numbers: is prime
-----------------
Ask: Is 1627187239 prime?
Gives: True
Ask: Is 3677 composite?
Gives: False
Ask: Is 138421 prime?
Gives: False
Ask: Is 130147 a composite number?
Gives: False
Ask: Is 148331 a composite number?
Gives: False
Ask: Is 1090488583 composite?
Gives: True
Ask: Is 17249 composite?
Gives: True... | english |
measurement: conversion
-----------------------
Step: What is one tenth of a hour in seconds?
Reply: 360
Step: Convert 3.756012 micrograms to grams.
Reply: 0.000003756012
Step: How many kilograms are there in 0.6494693 nanograms?
Reply: 0.0000000000006494693
Step: Convert 1686.56985 nanoseconds to weeks.
Reply: 0.00000... | english |
numbers: div remainder
----------------------
Task: Calculate the remainder when 40789337 is divided by 317.
Response: 313
Task: What is the remainder when 50653138 is divided by 132?
Response: 118
Task: What is the remainder when 4596078 is divided by 2506?
Response: 74
Task: What is the remainder when 914 is divided ... | english |
numbers: div remainder
----------------------
Problem: Calculate the remainder when 5442 is divided by 19.
Calculation: 8
Problem: Calculate the remainder when 886901 is divided by 221528.
Calculation: 789
Problem: Calculate the remainder when 208 is divided by 43.
Calculation: 36
Problem: Calculate the remainder when ... | english |
numbers: gcd
------------
Problem: What is the highest common divisor of 1092 and 27612?
Calculation: 156
Problem: What is the greatest common factor of 308 and 4081?
Calculation: 77
Problem: Calculate the highest common divisor of 75279 and 6831.
Calculation: 69
Problem: Calculate the highest common factor of 315731 a... | english |
probability: swr p sequence
---------------------------
Scenario: Two letters picked without replacement from {c: 11, e: 2}. What is prob of sequence ce?
Workthrough: 11/78
Scenario: Three letters picked without replacement from {c: 6, l: 4, q: 2}. Give prob of sequence ccl.
Workthrough: 1/11
Scenario: Three letters pi... | english |
probability: swr p sequence
---------------------------
Item: Calculate prob of sequence luwy when four letters picked without replacement from uuwyjjyyluwq.
Response: 1/660
Item: Calculate prob of sequence cczz when four letters picked without replacement from {c: 11, z: 5}.
Response: 55/1092
Item: Two letters picked ... | english |
numbers: lcm
------------
Math Q: Calculate the common denominator of -73/35672182 and -85/5096026.
Final Answer: 35672182
Math Q: Calculate the smallest common multiple of 24 and 10.
Final Answer: 120
Math Q: What is the least common multiple of 17112 and 1656?
Final Answer: 51336
Math Q: Calculate the lowest common m... | english |
probability: swr p level set
----------------------------
Issue: What is prob of picking 1 f, 1 a, and 1 c when three letters picked without replacement from {f: 5, c: 1, a: 4}?
Outcome: 1/6
Issue: What is prob of picking 1 n and 1 w when two letters picked without replacement from znneawea?
Outcome: 1/14
Issue: What i... | english |
numbers: is factor
------------------
Subject: Does 14 divide 445444594?
Interpretation: True
Subject: Is 46097940 a multiple of 1722?
Interpretation: True
Subject: Is 7121037 a multiple of 33?
Interpretation: True
Subject: Does 36 divide 1496772894?
Interpretation: False
Subject: Is 48 a factor of 1096?
Interpretation... | english |
numbers: is prime
-----------------
Problem Statement: Is 8765 composite?
Calculation: True
Problem Statement: Is 1086803 prime?
Calculation: False
Problem Statement: Is 21369911 composite?
Calculation: False
Problem Statement: Is 5199442 composite?
Calculation: True
Problem Statement: Is 43699 a prime number?
Calculat... | english |
numbers: is factor
------------------
Math Q: Is 99316900 a multiple of 318?
Solution: False
Math Q: Does 44 divide 8405361404?
Solution: True
Math Q: Is 8342302404 a multiple of 59?
Solution: True
Math Q: Is 80 a factor of 4480?
Solution: True
Math Q: Does 153 divide 158661?
Solution: True
Math Q: Does 20 divide 38517... | english |
numbers: gcd
------------
Given: What is the greatest common factor of 63 and 1098?
Eval: 9
Given: What is the highest common divisor of 350 and 265426?
Eval: 14
Given: Calculate the highest common factor of 980 and 819035.
Eval: 245
Given: What is the highest common divisor of 6083 and 1331?
Eval: 11
Given: Calculate ... | english |
numbers: is factor
------------------
Subject: Does 25 divide 8400?
Hence: True
Subject: Is 320 a factor of 3301760?
Hence: True
Subject: Is 2198 a factor of 10133676?
Hence: False
Subject: Is 15 a factor of 5535?
Hence: True
Subject: Is 61 a factor of 1287?
Hence: False
Subject: Is 23874 a multiple of 138?
Hence: True... | english |
measurement: conversion
-----------------------
Issue: What is 9752.47 weeks in nanoseconds?
Hence: 5898293856000000000
Issue: What is eighty-nine halves of a kilogram in grams?
Hence: 44500
Issue: How many millilitres are there in 54/5 of a litre?
Hence: 10800
Issue: What is 4/3 of a day in minutes?
Hence: 1920
Issue:... | english |
probability: swr p level set
----------------------------
Q): What is prob of picking 2 g when two letters picked without replacement from aaggsttmasfammafa?
Eval: 1/136
Q): What is prob of picking 1 j, 1 t, and 1 p when three letters picked without replacement from {t: 2, p: 1, j: 3, g: 1}?
Eval: 6/35
Q): Calculate pr... | english |
numbers: div remainder
----------------------
Let us solve: What is the remainder when 227930777 is divided by 14?
Output: 11
Let us solve: What is the remainder when 2632 is divided by 84?
Output: 28
Let us solve: Calculate the remainder when 2308 is divided by 10.
Output: 8
Let us solve: What is the remainder when 14... | english |
numbers: div remainder
----------------------
Item: What is the remainder when 66014 is divided by 786?
Compute: 776
Item: What is the remainder when 233607 is divided by 57?
Compute: 21
Item: What is the remainder when 145653 is divided by 48549?
Compute: 6
Item: Calculate the remainder when 21811 is divided by 99.
Co... | english |
probability: swr p sequence
---------------------------
Q: What is prob of sequence jxj when three letters picked without replacement from qbxjbbqjxxjbxq?
Response: 1/91
Q: Three letters picked without replacement from ascxlaxxlx. What is prob of sequence acx?
Response: 1/90
Q: Calculate prob of sequence wwc when three... | english |
numbers: is factor
------------------
Q=: Does 315 divide 39816?
Clarification: False
Q=: Is 2981440 a multiple of 8?
Clarification: True
Q=: Is 71478 a multiple of 19?
Clarification: True
Q=: Is 29 a factor of 1102?
Clarification: True
Q=: Does 27 divide 30657?
Clarification: False
Q=: Is 35 a factor of 390795?
Clarif... | english |
arithmetic: nearest integer root
--------------------------------
Conundrum: What is the square root of 192891 to the nearest integer?
Solution: 439
Conundrum: What is 720431 to the power of 1/5, to the nearest integer?
Solution: 15
Conundrum: What is the square root of 238349 to the nearest integer?
Solution: 488
Conu... | english |
numbers: gcd
------------
Item: What is the highest common factor of 11903168 and 48?
Sol: 16
Item: What is the greatest common divisor of 9378 and 6498?
Sol: 18
Item: Calculate the highest common factor of 21 and 78687.
Sol: 21
Item: Calculate the greatest common divisor of 1219064 and 4928.
Sol: 616
Item: Calculate t... | english |
numbers: lcm
------------
Given: Calculate the smallest common multiple of 433 and 3.
Interpretation: 1299
Given: Calculate the common denominator of 87/3272 and 45/25358.
Interpretation: 101432
Given: Calculate the common denominator of 111/40 and -157/2910.
Interpretation: 11640
Given: What is the smallest common mul... | english |
numbers: is factor
------------------
Prompt: Is 316704 a multiple of 14?
Interpretation: False
Prompt: Is 498896608 a multiple of 388?
Interpretation: True
Prompt: Does 15 divide 225?
Interpretation: True
Prompt: Does 13 divide 533?
Interpretation: True
Prompt: Is 1341251 a multiple of 7?
Interpretation: False
Prompt:... | english |
numbers: div remainder
----------------------
What if: Calculate the remainder when 11127 is divided by 31.
Sol: 29
What if: Calculate the remainder when 264 is divided by 74.
Sol: 42
What if: What is the remainder when 1040 is divided by 144?
Sol: 32
What if: What is the remainder when 136662 is divided by 67940?
Sol:... | english |
Maxwelton is a historic single-story house in Memphis, Tennessee, that is listed on the National Register of Historic Places. It is the only extant example in Memphis of a Victorian piano box house. It is currently a private residence.
The piano box house is a vernacular architectural style found in houses built in Mi... | english |
The Lydia Plantation, also known as the Benjamin Sydney Josey Farm, in Lydia, South Carolina is a historic plantation and house. The house was designed by Charles Coker Wilson and his firm Wilson, Sompayrac & Urquhart. It was built in 1910 and expanded in 1920.
A area including the plantation house was listed as a h... | english |
Major General Semyon Alexanderovich Tchernetsky (Russian:Семё́н Алекса́ндрович Черне́цкий) was a Ukrainian-born, Russian and Soviet military conductor. He is credited as the founder of modern Russian military bands. He served as the Senior Director of the Central Military Band of the People's Commissariat of National D... | english |
The Maharajah Jungle Trek is a themed wildlife trail attraction at Disney's Animal Kingdom theme park at the Walt Disney World Resort in Lake Buena Vista, Florida. It is in the Asia themed land, the Kingdom of Anandapur. It shares this area with the Kali River Rapids white water raft ride and the Expedition Everest run... | english |
Conrad I [of Abenberg] (, c. 1075 – 9 April 1147) was Archbishop of Salzburg, Austria, in the first half of the 12th century.
Born into the Abenberg-Frensdorf nobility, Conrad was raised for a clerical career at the court of Emperor Henry IV, where he was a member of the court chapel. He became a canon in Hildesheim. ... | english |
Events in the year 2023 in Tunisia.
Incumbents
President: Kais Saied
Prime Minister:
Najla Bouden (until August 2, 2023)
Ahmed Hachani (from August 2, 2023)
President of the Assembly of the Representatives by the People: Ibrahim Bouderbala
Government:
Bouden Cabinet (until August 2, 2023)
Hachani Cabinet (from... | english |
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