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arithmetic: nearest integer root
--------------------------------
Puzzle: What is the eighth root of 51544 to the nearest integer?
Soln: 4
Puzzle: What is the third root of 64697339 to the nearest integer?
Soln: 401
Puzzle: What is 71827 to the power of 1/2, to the nearest integer?
Soln: 268
Puzzle: What is the eighth ... | english |
arithmetic: nearest integer root
--------------------------------
Let us solve: What is 739569350 to the power of 1/4, to the nearest integer?
Response: 165
Let us solve: What is 295389596 to the power of 1/2, to the nearest integer?
Response: 17187
Let us solve: What is 76867497 to the power of 1/10, to the nearest in... | english |
numbers: place value
--------------------
Let: What is the hundreds digit of 27483512?
Resolution: 5
Let: What is the millions digit of 5922114?
Resolution: 5
Let: What is the hundred thousands digit of 799963?
Resolution: 7
Let: What is the ten thousands digit of 270472?
Resolution: 7
Let: What is the millions digit o... | english |
numbers: div remainder
----------------------
Inquiry: Calculate the remainder when 25096 is divided by 25085.
A: 11
Inquiry: What is the remainder when 1886030 is divided by 2704?
A: 1342
Inquiry: What is the remainder when 1321542 is divided by 660768?
A: 6
Inquiry: Calculate the remainder when 598 is divided by 308.... | english |
arithmetic: nearest integer root
--------------------------------
Task: What is 2380573 to the power of 1/6, to the nearest integer?
Ans: 12
Task: What is the tenth root of 4247 to the nearest integer?
Ans: 2
Task: What is 3538342 to the power of 1/2, to the nearest integer?
Ans: 1881
Task: What is 1864714168 to the po... | english |
numbers: gcd
------------
Task: Calculate the greatest common factor of 33924 and 804.
Calculation: 12
Task: What is the greatest common factor of 2303 and 151366649?
Calculation: 329
Task: Calculate the highest common factor of 6289 and 41781.
Calculation: 19
Task: What is the greatest common factor of 279784 and 80?
... | english |
numbers: is prime
-----------------
What if: Is 6489247967 composite?
Compute: True
What if: Is 454698227 a composite number?
Compute: True
What if: Is 1683779 a composite number?
Compute: False
What if: Is 187613 composite?
Compute: True
What if: Is 1388548621 composite?
Compute: True
What if: Is 3793611 a prime numbe... | english |
measurement: time
-----------------
Q/A: What is 406 minutes before 3:25 AM?
Outcome: 8:39 PM
Q/A: What is 667 minutes after 11:23 PM?
Outcome: 10:30 AM
Q/A: What is 505 minutes before 11:38 AM?
Outcome: 3:13 AM
Q/A: How many minutes are there between 7:59 PM and 3:52 AM?
Outcome: 473
Q/A: How many minutes are there be... | english |
arithmetic: div
---------------
Problem Statement: Divide 13611 by 237.
Conclusion: 4537/79
Problem Statement: -594 divided by 472
Conclusion: -297/236
Problem Statement: Calculate -1182 divided by 31.
Conclusion: -1182/31
Problem Statement: Calculate 44560 divided by -20.
Conclusion: -2228
Problem Statement: What is 5... | english |
numbers: place value
--------------------
Query: What is the thousands digit of 41942066?
Calculation: 2
Query: What is the units digit of 131485?
Calculation: 5
Query: What is the tens digit of 5261?
Calculation: 6
Query: What is the units digit of 394?
Calculation: 4
Query: What is the hundred thousands digit of 2519... | english |
probability: swr p level set
----------------------------
Problem: Two letters picked without replacement from {q: 1, w: 2, i: 1, r: 1, s: 2, z: 1}. Give prob of picking 1 r and 1 w.
Reply: 1/14
Problem: Three letters picked without replacement from {v: 15, q: 3}. Give prob of picking 3 v.
Reply: 455/816
Problem: What ... | english |
probability: swr p sequence
---------------------------
Qn: Four letters picked without replacement from {k: 6, h: 2, v: 5}. What is prob of sequence vkkk?
Conclusion: 5/143
Qn: Calculate prob of sequence et when two letters picked without replacement from {e: 3, t: 8}.
Conclusion: 12/55
Qn: What is prob of sequence ss... | english |
probability: swr p level set
----------------------------
Problem: What is prob of picking 2 e when two letters picked without replacement from {e: 4, p: 15}?
Fix: 2/57
Problem: What is prob of picking 2 c when two letters picked without replacement from {f: 2, w: 2, c: 2}?
Fix: 1/15
Problem: Calculate prob of picking ... | english |
probability: swr p sequence
---------------------------
Problem Statement: Calculate prob of sequence jh when two letters picked without replacement from jhjhhvhv.
Answer: 1/7
Problem Statement: Two letters picked without replacement from ttathww. What is prob of sequence ta?
Answer: 1/14
Problem Statement: What is pro... | english |
measurement: time
-----------------
Challenge: How many minutes are there between 2:52 PM and 10:30 PM?
Ans: 458
Challenge: How many minutes are there between 1:00 AM and 12:16 PM?
Ans: 676
Challenge: How many minutes are there between 6:32 PM and 6:02 AM?
Ans: 690
Challenge: How many minutes are there between 10:26 AM... | english |
probability: swr p sequence
---------------------------
Qn: What is prob of sequence ua when two letters picked without replacement from auaaaaaaaaaaa?
Result: 1/13
Qn: Three letters picked without replacement from skjkkekjksojksekooj. What is prob of sequence ooe?
Result: 2/969
Qn: What is prob of sequence yy when two... | english |
probability: swr p level set
----------------------------
Q.: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from dxdddddx.
Result: 4/7
Q.: What is prob of picking 1 v, 1 r, 1 a, and 1 f when four letters picked without replacement from {v: 1, r: 1, a: 3, f: 4, q: 5}?
Result: 12/1001... | english |
probability: swr p level set
----------------------------
Task: Calculate prob of picking 3 m and 1 g when four letters picked without replacement from eeedgmmmeegemgme.
Calculation: 3/182
Task: What is prob of picking 1 y, 1 b, and 2 a when four letters picked without replacement from {a: 1, y: 1, w: 3, l: 4, b: 2}?
C... | english |
numbers: div remainder
----------------------
Conundrum: What is the remainder when 864 is divided by 97?
= : 88
Conundrum: What is the remainder when 135114 is divided by 80?
= : 74
Conundrum: Calculate the remainder when 213 is divided by 97.
= : 19
Conundrum: What is the remainder when 383491 is divided by 38?
= : 3... | english |
numbers: place value
--------------------
Q): What is the hundreds digit of 16737?
Answer: 7
Q): What is the thousands digit of 5639669?
Answer: 9
Q): What is the hundreds digit of 88309269?
Answer: 2
Q): What is the thousands digit of 17878934?
Answer: 8
Q): What is the ten thousands digit of 248169141?
Answer: 6
Q): ... | english |
measurement: conversion
-----------------------
Qn: Convert 355170.3 millennia to decades.
Fix: 35517030
Qn: What is five quarters of a microsecond in nanoseconds?
Fix: 1250
Qn: What is 766.4608nm in micrometers?
Fix: 0.7664608
Qn: What is one quarter of a millennium in months?
Fix: 3000
Qn: How many microseconds are t... | english |
arithmetic: nearest integer root
--------------------------------
Part A: What is 11005 to the power of 1/2, to the nearest integer?
Explanation: 105
Part A: What is the tenth root of 9479965 to the nearest integer?
Explanation: 5
Part A: What is the third root of 237149485 to the nearest integer?
Explanation: 619
Part... | english |
measurement: time
-----------------
Question: What is 617 minutes after 10:15 PM?
Outcome: 8:32 AM
Question: What is 36 minutes after 11:54 AM?
Outcome: 12:30 PM
Question: What is 292 minutes after 12:29 AM?
Outcome: 5:21 AM
Question: How many minutes are there between 7:10 PM and 12:32 AM?
Outcome: 322
Question: How m... | english |
measurement: conversion
-----------------------
Let: How many millilitres are there in 151638.8l?
Steps: 151638800
Let: What is 8/3 of a day in minutes?
Steps: 3840
Let: What is 6.406932 nanoseconds in milliseconds?
Steps: 0.000006406932
Let: What is 13/4 of a year in months?
Steps: 39
Let: What is 37/5 of a century in... | english |
numbers: is prime
-----------------
Example: Is 34951247 a composite number?
Therefore: False
Example: Is 58963 a composite number?
Therefore: False
Example: Is 34793 prime?
Therefore: False
Example: Is 235334269 a prime number?
Therefore: True
Example: Is 492624977 composite?
Therefore: True
Example: Is 232043 a compo... | english |
probability: swr p sequence
---------------------------
Example: Calculate prob of sequence ttv when three letters picked without replacement from tvzvtttvvzz.
Output: 8/165
Example: Calculate prob of sequence aba when three letters picked without replacement from abaaab.
Output: 1/5
Example: What is prob of sequence v... | english |
numbers: is prime
-----------------
Puzzle: Is 403 prime?
Eval: False
Puzzle: Is 1520540698 composite?
Eval: True
Puzzle: Is 27997 composite?
Eval: False
Puzzle: Is 52031 a prime number?
Eval: False
Puzzle: Is 2339219059 prime?
Eval: True
Puzzle: Is 1027 prime?
Eval: False
Puzzle: Is 6421 a composite number?
Eval: Fals... | english |
measurement: time
-----------------
Input: How many minutes are there between 9:41 AM and 2:06 PM?
Final Answer: 265
Input: What is 535 minutes after 8:54 AM?
Final Answer: 5:49 PM
Input: What is 344 minutes after 12:47 AM?
Final Answer: 6:31 AM
Input: What is 33 minutes after 2:24 AM?
Final Answer: 2:57 AM
Input: What... | english |
numbers: gcd
------------
Q: What is the highest common divisor of 30321684 and 142650?
A: 5706
Q: Calculate the greatest common factor of 412 and 16.
A: 4
Q: What is the greatest common factor of 146560 and 124805?
A: 1145
Q: Calculate the greatest common divisor of 2374546 and 7439.
A: 43
Q: What is the highest commo... | english |
arithmetic: nearest integer root
--------------------------------
Test item: What is the third root of 280 to the nearest integer?
Clarification: 7
Test item: What is the fifth root of 8035272 to the nearest integer?
Clarification: 24
Test item: What is 40178 to the power of 1/3, to the nearest integer?
Clarification: ... | english |
numbers: lcm
------------
Conundrum: Find the common denominator of 13/264 and 71/88.
Outcome: 264
Conundrum: Calculate the smallest common multiple of 6761304 and 24288.
Outcome: 622039968
Conundrum: What is the smallest common multiple of 764544 and 8688?
Outcome: 764544
Conundrum: What is the common denominator of -... | english |
probability: swr p level set
----------------------------
Part A: Three letters picked without replacement from {r: 2, n: 1, m: 4, t: 4}. Give prob of picking 1 t and 2 r.
A.: 4/165
Part A: Four letters picked without replacement from llloololoo. What is prob of picking 2 o and 2 l?
A.: 10/21
Part A: Calculate prob of ... | english |
numbers: is prime
-----------------
Given: Is 70304385017 a composite number?
Output: False
Given: Is 3523599687 prime?
Output: False
Given: Is 2105183 composite?
Output: False
Given: Is 113966 composite?
Output: True
Given: Is 4627891 a prime number?
Output: False
Given: Is 1282 composite?
Output: True
Given: Is 19841... | english |
arithmetic: nearest integer root
--------------------------------
Given: What is the third root of 1682280771 to the nearest integer?
Answer: 1189
Given: What is 7764 to the power of 1/3, to the nearest integer?
Answer: 20
Given: What is 3332 to the power of 1/5, to the nearest integer?
Answer: 5
Given: What is 7894 to... | english |
probability: swr p level set
----------------------------
Situation: Calculate prob of picking 1 w, 1 b, and 1 j when three letters picked without replacement from {y: 5, w: 1, r: 3, j: 3, b: 3}.
Workthrough: 9/455
Situation: What is prob of picking 2 t when two letters picked without replacement from {d: 1, g: 4, b: 2... | english |
probability: swr p sequence
---------------------------
Situation: Four letters picked without replacement from kwsckhskssskssckk. Give prob of sequence wsks.
A: 3/680
Situation: What is prob of sequence osol when four letters picked without replacement from {l: 1, o: 4, s: 1, r: 2, u: 1}?
A: 1/252
Situation: Calculate... | english |
numbers: place value
--------------------
Qn: What is the hundreds digit of 222221195?
Outcome: 1
Qn: What is the units digit of 1071?
Outcome: 1
Qn: What is the hundreds digit of 40915190?
Outcome: 1
Qn: What is the thousands digit of 98949726?
Outcome: 9
Qn: What is the tens digit of 112818?
Outcome: 1
Qn: What is th... | english |
probability: swr p level set
----------------------------
Input: Four letters picked without replacement from {y: 11, q: 2}. What is prob of picking 1 q and 3 y?
Ans: 6/13
Input: What is prob of picking 3 s when three letters picked without replacement from gbeeeseesgegebs?
Ans: 1/455
Input: Four letters picked without... | english |
numbers: is prime
-----------------
Prompt: Is 417899 prime?
Workthrough: True
Prompt: Is 8408778557 a composite number?
Workthrough: False
Prompt: Is 17544701 prime?
Workthrough: True
Prompt: Is 498335 composite?
Workthrough: True
Prompt: Is 489476321 prime?
Workthrough: True
Prompt: Is 533213 a prime number?
Workthro... | english |
probability: swr p sequence
---------------------------
Qn: Two letters picked without replacement from {h: 2, y: 2, j: 1, n: 1}. Give prob of sequence hh.
Answer: 1/15
Qn: Four letters picked without replacement from lutlttdldl. What is prob of sequence duld?
Answer: 1/630
Qn: Four letters picked without replacement f... | english |
numbers: gcd
------------
Exercise: Calculate the highest common factor of 5654 and 504724.
Solution: 22
Exercise: What is the greatest common divisor of 1624 and 133?
Solution: 7
Exercise: Calculate the greatest common factor of 504 and 12866.
Solution: 14
Exercise: Calculate the greatest common factor of 11025 and 14... | english |
probability: swr p level set
----------------------------
Item: Two letters picked without replacement from vwwvchhvvvvdivhdv. What is prob of picking 2 h?
Ans: 3/136
Item: Three letters picked without replacement from {u: 7, y: 2, d: 4}. Give prob of picking 3 d.
Ans: 2/143
Item: What is prob of picking 2 t, 1 x, and ... | english |
probability: swr p sequence
---------------------------
Q/A: Calculate prob of sequence od when two letters picked without replacement from ttoqootodttttoooto.
A: 4/153
Q/A: Three letters picked without replacement from {b: 1, l: 4, k: 1, z: 9}. What is prob of sequence zkz?
A: 12/455
Q/A: Three letters picked without ... | english |
measurement: conversion
-----------------------
Exercise: What is 82021.1l in millilitres?
Fix: 82021100
Exercise: What is eleven eighths of a micrometer in nanometers?
Fix: 1375
Exercise: How many millilitres are there in one fifth of a litre?
Fix: 200
Exercise: Convert 5.073363 months to decades.
Fix: 0.042278025
Exe... | english |
numbers: place value
--------------------
Math Q: What is the hundreds digit of 178?
Sol: 1
Math Q: What is the ten thousands digit of 6213259?
Sol: 1
Math Q: What is the hundred millions digit of 3291733780?
Sol: 2
Math Q: What is the ten thousands digit of 557566?
Sol: 5
Math Q: What is the tens digit of 160347?
Sol:... | english |
probability: swr p level set
----------------------------
Q): Two letters picked without replacement from {x: 2, s: 2, i: 1, v: 4, z: 1}. What is prob of picking 1 s and 1 v?
Compute: 8/45
Q): Calculate prob of picking 2 o and 1 e when three letters picked without replacement from {o: 5, t: 4, e: 1, q: 4, y: 1}.
Comput... | english |
measurement: time
-----------------
Part A: What is 355 minutes after 8:29 PM?
Workthrough: 2:24 AM
Part A: How many minutes are there between 8:42 AM and 3:13 PM?
Workthrough: 391
Part A: What is 2 minutes before 11:29 PM?
Workthrough: 11:27 PM
Part A: What is 10 minutes after 3:38 PM?
Workthrough: 3:48 PM
Part A: Wha... | english |
numbers: is prime
-----------------
Math Q: Is 115901 composite?
Explanation: False
Math Q: Is 45182393 a composite number?
Explanation: True
Math Q: Is 13894927 prime?
Explanation: True
Math Q: Is 776805727 a composite number?
Explanation: False
Math Q: Is 13363321679 composite?
Explanation: False
Math Q: Is 219281 a ... | english |
probability: swr p level set
----------------------------
Problem: What is prob of picking 3 f and 1 l when four letters picked without replacement from {l: 9, f: 7}?
= : 9/52
Problem: Three letters picked without replacement from {c: 4, a: 2}. What is prob of picking 2 c and 1 a?
= : 3/5
Problem: What is prob of picki... | english |
measurement: conversion
-----------------------
Math Problem: What is eleven quarters of a millisecond in microseconds?
Hence: 2750
Math Problem: How many weeks are there in 154311.234 hours?
Hence: 918.51925
Math Problem: What is 49/5 of a meter in millimeters?
Hence: 9800
Math Problem: What is 53/4 of a meter in mill... | english |
numbers: div remainder
----------------------
Problem: Calculate the remainder when 319648 is divided by 319548.
Soln: 100
Problem: What is the remainder when 2534 is divided by 39?
Soln: 38
Problem: Calculate the remainder when 153140 is divided by 339.
Soln: 251
Problem: Calculate the remainder when 277 is divided by... | english |
measurement: time
-----------------
Question: How many minutes are there between 3:17 PM and 5:14 PM?
Eval: 117
Question: What is 423 minutes before 11:19 PM?
Eval: 4:16 PM
Question: How many minutes are there between 1:25 AM and 12:12 PM?
Eval: 647
Question: What is 398 minutes after 4:25 PM?
Eval: 11:03 PM
Question: ... | english |
numbers: place value
--------------------
What if: What is the thousands digit of 129831?
→: 9
What if: What is the millions digit of 46813267?
→: 6
What if: What is the millions digit of 11355896?
→: 1
What if: What is the tens digit of 692?
→: 9
What if: What is the millions digit of 35707312?
→: 5
What if: What is t... | english |
numbers: div remainder
----------------------
Q.: What is the remainder when 42578 is divided by 1151?
Eval: 1142
Q.: What is the remainder when 4550 is divided by 3?
Eval: 2
Q.: Calculate the remainder when 725 is divided by 121.
Eval: 120
Q.: Calculate the remainder when 262092 is divided by 131035.
Eval: 22
Q.: What... | english |
measurement: conversion
-----------------------
Given: How many kilograms are there in 18/5 of a tonne?
Fix: 3600
Given: Convert 9219.497 decades to years.
Fix: 92194.97
Given: How many decades are there in 0.3187618 centuries?
Fix: 3.187618
Given: Convert 5.285222 years to decades.
Fix: 0.5285222
Given: How many micro... | english |
numbers: div remainder
----------------------
Task: What is the remainder when 24165757 is divided by 6049?
Workthrough: 2
Task: What is the remainder when 238 is divided by 16?
Workthrough: 14
Task: What is the remainder when 208 is divided by 45?
Workthrough: 28
Task: Calculate the remainder when 230 is divided by 29... | english |
probability: swr p sequence
---------------------------
Input: Three letters picked without replacement from mmmmmm. What is prob of sequence mmm?
Conclusion: 1
Input: What is prob of sequence ts when two letters picked without replacement from {s: 4, t: 3, q: 13}?
Conclusion: 3/95
Input: Calculate prob of sequence rag... | english |
numbers: place value
--------------------
Prompt: What is the units digit of 478543?
Answer: 3
Prompt: What is the thousands digit of 2021640?
Answer: 1
Prompt: What is the tens digit of 512349939?
Answer: 3
Prompt: What is the ten millions digit of 1203734863?
Answer: 0
Prompt: What is the hundred millions digit of 12... | english |
numbers: is prime
-----------------
Math Q: Is 1002959 prime?
Soln: False
Math Q: Is 19015955927 composite?
Soln: False
Math Q: Is 20639 a composite number?
Soln: False
Math Q: Is 2693847649 prime?
Soln: True
Math Q: Is 30161231 prime?
Soln: True
Math Q: Is 99329 a composite number?
Soln: True
Math Q: Is 3039139 a prim... | english |
probability: swr p level set
----------------------------
Q/A: Four letters picked without replacement from {d: 2, z: 1, k: 4, g: 1, b: 3}. What is prob of picking 2 b, 1 g, and 1 d?
Key: 1/55
Q/A: Two letters picked without replacement from {p: 3, w: 3}. What is prob of picking 2 w?
Key: 1/5
Q/A: Two letters picked wi... | english |
numbers: div remainder
----------------------
Step: Calculate the remainder when 327864 is divided by 18196.
A: 336
Step: What is the remainder when 891332 is divided by 101?
A: 7
Step: What is the remainder when 51 is divided by 11?
A: 7
Step: What is the remainder when 760546 is divided by 287?
A: 283
Step: Calculate... | english |
measurement: conversion
-----------------------
Q): What is 389.4292 litres in millilitres?
Therefore: 389429.2
Q): Convert 1307.004 millennia to decades.
Therefore: 130700.4
Q): What is 8042.406um in nanometers?
Therefore: 8042406
Q): How many months are there in 3/40 of a decade?
Therefore: 9
Q): How many milligrams ... | english |
numbers: div remainder
----------------------
Input: What is the remainder when 101337926 is divided by 120?
Clarification: 86
Input: What is the remainder when 424313 is divided by 188?
Clarification: 185
Input: Calculate the remainder when 27400552 is divided by 970.
Clarification: 962
Input: What is the remainder wh... | english |
numbers: place value
--------------------
Situation: What is the units digit of 8821?
Result: 1
Situation: What is the hundred millions digit of 8485011929?
Result: 4
Situation: What is the hundred thousands digit of 14317694?
Result: 3
Situation: What is the thousands digit of 22363?
Result: 2
Situation: What is the u... | english |
numbers: is prime
-----------------
Ask: Is 54695124857 prime?
Output: False
Ask: Is 21703 composite?
Output: True
Ask: Is 207215 composite?
Output: True
Ask: Is 577691 a composite number?
Output: True
Ask: Is 21701641 a composite number?
Output: True
Ask: Is 4853500489 a composite number?
Output: False
Ask: Is 9432890... | english |
numbers: div remainder
----------------------
Prompt: Calculate the remainder when 422735 is divided by 330.
Sol: 5
Prompt: What is the remainder when 5552811 is divided by 273?
Sol: 264
Prompt: What is the remainder when 10031 is divided by 57?
Sol: 56
Prompt: Calculate the remainder when 42101 is divided by 935.
Sol:... | english |
measurement: time
-----------------
Input: How many minutes are there between 8:44 PM and 7:20 AM?
Hence: 636
Input: How many minutes are there between 7:24 PM and 6:00 AM?
Hence: 636
Input: How many minutes are there between 2:10 PM and 1:56 AM?
Hence: 706
Input: What is 10 minutes before 9:20 PM?
Hence: 9:10 PM
Input... | english |
numbers: gcd
------------
Item: What is the highest common factor of 4850 and 12275?
Result: 25
Item: Calculate the greatest common factor of 8852529 and 595.
Result: 119
Item: Calculate the highest common factor of 136932251 and 2501.
Result: 2501
Item: Calculate the highest common factor of 5840 and 1606.
Result: 146... | english |
numbers: is prime
-----------------
Math Problem: Is 18211 composite?
A.: False
Math Problem: Is 5147 a prime number?
A.: True
Math Problem: Is 704617 a prime number?
A.: True
Math Problem: Is 27237495199 composite?
A.: True
Math Problem: Is 21930967 prime?
A.: False
Math Problem: Is 6197516357 prime?
A.: True
Math Pro... | english |
numbers: place value
--------------------
Request: What is the hundreds digit of 38993347?
A.: 3
Request: What is the thousands digit of 64209?
A.: 4
Request: What is the ten thousands digit of 237402?
A.: 3
Request: What is the thousands digit of 2076256188?
A.: 6
Request: What is the ten thousands digit of 24006?
A.:... | english |
measurement: conversion
-----------------------
Case: Convert 0.8345554 kilometers to centimeters.
Thus: 83455.54
Case: Convert 391.1399 centuries to decades.
Thus: 3911.399
Case: Convert 60961.55l to millilitres.
Thus: 60961550
Case: How many micrograms are there in one quarter of a milligram?
Thus: 250
Case: How many... | english |
numbers: place value
--------------------
Task: What is the hundred thousands digit of 999199210?
Soln: 1
Task: What is the hundred thousands digit of 3762666?
Soln: 7
Task: What is the hundreds digit of 16487741?
Soln: 7
Task: What is the units digit of 278358692?
Soln: 2
Task: What is the millions digit of 366568730?... | english |
numbers: place value
--------------------
Task: What is the millions digit of 29206473?
Reply: 9
Task: What is the ten thousands digit of 17412063?
Reply: 1
Task: What is the units digit of 1266318479?
Reply: 9
Task: What is the ten thousands digit of 34774508?
Reply: 7
Task: What is the millions digit of 1660168?
Repl... | english |
measurement: time
-----------------
Q): How many minutes are there between 12:46 PM and 10:31 PM?
Solution: 585
Q): What is 321 minutes after 12:54 AM?
Solution: 6:15 AM
Q): What is 175 minutes after 1:03 AM?
Solution: 3:58 AM
Q): What is 401 minutes before 6:58 PM?
Solution: 12:17 PM
Q): How many minutes are there bet... | english |
numbers: gcd
------------
Math Problem: What is the greatest common divisor of 896517 and 1775?
Eval: 71
Math Problem: What is the greatest common divisor of 5000 and 140?
Eval: 20
Math Problem: What is the greatest common divisor of 2231 and 873?
Eval: 97
Math Problem: Calculate the greatest common factor of 14487 and... | english |
numbers: is prime
-----------------
Input: Is 80118601019 a prime number?
Explanation: True
Input: Is 9843625147 prime?
Explanation: False
Input: Is 13043 a prime number?
Explanation: True
Input: Is 129115310833 a prime number?
Explanation: True
Input: Is 2060376541 a composite number?
Explanation: False
Input: Is 9425... | english |
numbers: is prime
-----------------
Request: Is 92917 composite?
Response: True
Request: Is 287567 prime?
Response: False
Request: Is 1461919 prime?
Response: False
Request: Is 18395720209 composite?
Response: False
Request: Is 256250581 a composite number?
Response: False
Request: Is 3079271 a prime number?
Response: ... | english |
numbers: is factor
------------------
Question: Is 197210785 a multiple of 22?
Soln: False
Question: Is 461720994 a multiple of 17?
Soln: False
Question: Does 6523 divide 2275952108?
Soln: False
Question: Is 181904 a multiple of 8?
Soln: True
Question: Is 504 a multiple of 28?
Soln: True
Question: Is 8964210 a multiple... | english |
numbers: is prime
-----------------
Qn: Is 42420113 a prime number?
Explanation: False
Qn: Is 23211373043 a composite number?
Explanation: False
Qn: Is 6071 a prime number?
Explanation: False
Qn: Is 1160933 a prime number?
Explanation: False
Qn: Is 38635637 prime?
Explanation: True
Qn: Is 795614839 a prime number?
Expl... | english |
probability: swr p level set
----------------------------
Exercise: What is prob of picking 1 y, 1 h, 1 m, and 1 p when four letters picked without replacement from {m: 3, p: 1, y: 2, h: 1}?
A.: 6/35
Exercise: Three letters picked without replacement from dgccd. What is prob of picking 1 g, 1 c, and 1 d?
A.: 2/5
Exerci... | english |
probability: swr p sequence
---------------------------
Q=: Three letters picked without replacement from {f: 1, c: 2, v: 4, d: 1, a: 1}. What is prob of sequence dac?
Explanation: 1/252
Q=: What is prob of sequence rb when two letters picked without replacement from rqbbqrqbbbq?
Explanation: 1/11
Q=: What is prob of s... | english |
numbers: is prime
-----------------
Inquiry: Is 1255 a composite number?
Reply: True
Inquiry: Is 538709 a prime number?
Reply: True
Inquiry: Is 10519 a prime number?
Reply: False
Inquiry: Is 21577961 composite?
Reply: True
Inquiry: Is 176977 prime?
Reply: True
Inquiry: Is 1293593447 a prime number?
Reply: True
Inquiry:... | english |
probability: swr p level set
----------------------------
Q-: Two letters picked without replacement from dkkekkpeeeke. What is prob of picking 2 e?
Sol: 5/33
Q-: Four letters picked without replacement from rcxtqxtrqxcj. What is prob of picking 1 r, 2 q, and 1 c?
Sol: 4/495
Q-: Three letters picked without replacement... | english |
numbers: place value
--------------------
Problem: What is the hundred thousands digit of 14775944?
A: 7
Problem: What is the units digit of 847?
A: 7
Problem: What is the hundreds digit of 2293?
A: 2
Problem: What is the hundred thousands digit of 315497?
A: 3
Problem: What is the ten thousands digit of 19797?
A: 1
Pr... | english |
measurement: time
-----------------
Topic: What is 342 minutes after 9:20 AM?
Conclusion: 3:02 PM
Topic: How many minutes are there between 12:31 AM and 4:08 AM?
Conclusion: 217
Topic: What is 663 minutes before 6:58 AM?
Conclusion: 7:55 PM
Topic: How many minutes are there between 5:55 AM and 12:40 PM?
Conclusion: 405... | english |
measurement: time
-----------------
Q=: What is 507 minutes before 2:10 AM?
Clarification: 5:43 PM
Q=: What is 406 minutes before 2:35 AM?
Clarification: 7:49 PM
Q=: What is 493 minutes after 9:46 AM?
Clarification: 5:59 PM
Q=: How many minutes are there between 5:10 AM and 9:08 AM?
Clarification: 238
Q=: What is 156 m... | english |
probability: swr p level set
----------------------------
Math Problem: What is prob of picking 1 i and 1 u when two letters picked without replacement from {i: 1, t: 3, l: 1, q: 1, u: 1}?
Math A: 1/21
Math Problem: Two letters picked without replacement from {t: 1, q: 3, p: 5, y: 6, d: 3, j: 2}. Give prob of picking 2... | english |
numbers: is factor
------------------
Puzzle: Is 183 a factor of 414173179?
Compute: False
Puzzle: Does 19 divide 16845?
Compute: False
Puzzle: Does 22 divide 36543?
Compute: False
Puzzle: Does 29 divide 473193?
Compute: True
Puzzle: Does 126 divide 55307?
Compute: False
Puzzle: Is 42095558 a multiple of 21?
Compute: F... | english |
arithmetic: nearest integer root
--------------------------------
Part A: What is the third root of 1945792447 to the nearest integer?
Sol: 1248
Part A: What is 93375 to the power of 1/7, to the nearest integer?
Sol: 5
Part A: What is the square root of 743 to the nearest integer?
Sol: 27
Part A: What is 1043651169 to ... | english |
numbers: is prime
-----------------
Subquestion: Is 2635241 prime?
Thus: False
Subquestion: Is 71974604243 composite?
Thus: False
Subquestion: Is 182419 composite?
Thus: True
Subquestion: Is 11390909 composite?
Thus: False
Subquestion: Is 2279861081 a composite number?
Thus: True
Subquestion: Is 60445260613 a prime num... | english |
numbers: is prime
-----------------
Example: Is 197831 a composite number?
Calculation: False
Example: Is 8461 composite?
Calculation: False
Example: Is 12508032437 a composite number?
Calculation: False
Example: Is 30815 a prime number?
Calculation: False
Example: Is 7350653 a prime number?
Calculation: True
Example: ... | english |
numbers: is prime
-----------------
Step: Is 70975717 composite?
Clarification: False
Step: Is 13351589 a composite number?
Clarification: False
Step: Is 21899 a composite number?
Clarification: True
Step: Is 14471 composite?
Clarification: True
Step: Is 10581647 a composite number?
Clarification: False
Step: Is 170927... | english |
numbers: div remainder
----------------------
Problem: Calculate the remainder when 2053 is divided by 253.
Soln: 29
Problem: Calculate the remainder when 42216345 is divided by 978.
Soln: 975
Problem: What is the remainder when 20702716 is divided by 89?
Soln: 70
Problem: What is the remainder when 13945 is divided by... | english |
arithmetic: nearest integer root
--------------------------------
Task: What is the square root of 1052198220 to the nearest integer?
Compute: 32438
Task: What is 1974 to the power of 1/9, to the nearest integer?
Compute: 2
Task: What is the square root of 3221109981 to the nearest integer?
Compute: 56755
Task: What is... | english |
measurement: time
-----------------
Let us solve: How many minutes are there between 1:55 PM and 1:04 AM?
Eval: 669
Let us solve: What is 354 minutes before 3:44 AM?
Eval: 9:50 PM
Let us solve: What is 90 minutes before 8:42 PM?
Eval: 7:12 PM
Let us solve: How many minutes are there between 4:09 PM and 5:11 PM?
Eval: 6... | english |
measurement: time
-----------------
Q=: What is 445 minutes after 10:57 PM?
Clarification: 6:22 AM
Q=: How many minutes are there between 7:22 PM and 5:13 AM?
Clarification: 591
Q=: How many minutes are there between 4:58 AM and 2:17 PM?
Clarification: 559
Q=: How many minutes are there between 2:19 AM and 2:28 AM?
Cla... | english |
numbers: place value
--------------------
What if: What is the ten millions digit of 2008216879?
= : 0
What if: What is the hundred millions digit of 1234164489?
= : 2
What if: What is the thousands digit of 3659?
= : 3
What if: What is the tens digit of 11309884?
= : 8
What if: What is the ten millions digit of 906401... | english |
numbers: div remainder
----------------------
Problem: Calculate the remainder when 2673 is divided by 111.
Workthrough: 9
Problem: What is the remainder when 603202 is divided by 73?
Workthrough: 3
Problem: Calculate the remainder when 1834 is divided by 54.
Workthrough: 52
Problem: What is the remainder when 17 is di... | english |
probability: swr p level set
----------------------------
Q/A: Two letters picked without replacement from jrrrjrjrqrrrrqjrrq. Give prob of picking 2 r.
Result: 55/153
Q/A: Three letters picked without replacement from bbupp. What is prob of picking 3 b?
Result: 0
Q/A: Two letters picked without replacement from {a: 1,... | english |
numbers: place value
--------------------
Request: What is the millions digit of 475006118?
→: 5
Request: What is the hundreds digit of 1707528?
→: 5
Request: What is the hundreds digit of 430419?
→: 4
Request: What is the ten millions digit of 27505321?
→: 2
Request: What is the ten thousands digit of 12558501?
→: 5
R... | english |
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