text stringlengths 256 2k | language stringclasses 2
values |
|---|---|
measurement: conversion
-----------------------
Challenge: How many milligrams are there in 7/2 of a gram?
Reply: 3500
Challenge: How many years are there in 7896.929 millennia?
Reply: 7896929
Challenge: How many micrograms are there in 3/40 of a milligram?
Reply: 75
Challenge: How many months are there in twenty-nine ... | english |
probability: swr p sequence
---------------------------
Input: Calculate prob of sequence ttce when four letters picked without replacement from {f: 3, e: 2, t: 8, g: 1, n: 2, c: 1}.
A: 1/510
Input: Calculate prob of sequence pttp when four letters picked without replacement from ttptttttptttt.
A: 1/78
Input: Two lette... | english |
numbers: gcd
------------
Example: What is the greatest common factor of 180 and 130?
→: 10
Example: Calculate the greatest common factor of 2849 and 55.
→: 11
Example: Calculate the greatest common divisor of 27864 and 999.
→: 27
Example: What is the highest common divisor of 1886 and 322?
→: 46
Example: What is the g... | english |
numbers: is prime
-----------------
Puzzle: Is 1009289 prime?
Outcome: True
Puzzle: Is 2023330129 a composite number?
Outcome: True
Puzzle: Is 6842417 a prime number?
Outcome: True
Puzzle: Is 39915561799 a composite number?
Outcome: True
Puzzle: Is 3954832823 composite?
Outcome: False
Puzzle: Is 1271783663 composite?
O... | english |
numbers: place value
--------------------
Math Q: What is the tens digit of 304279957?
Answer: 5
Math Q: What is the thousands digit of 4120876657?
Answer: 6
Math Q: What is the hundred thousands digit of 241472479?
Answer: 4
Math Q: What is the ten thousands digit of 43974?
Answer: 4
Math Q: What is the thousands digi... | english |
arithmetic: nearest integer root
--------------------------------
Case: What is the third root of 68868 to the nearest integer?
Hence: 41
Case: What is 583116997 to the power of 1/7, to the nearest integer?
Hence: 18
Case: What is 112760 to the power of 1/2, to the nearest integer?
Hence: 336
Case: What is 68731 to the... | english |
numbers: is factor
------------------
Item: Does 212 divide 19179004?
Therefore: True
Item: Does 440 divide 3040371?
Therefore: False
Item: Does 46 divide 7259306?
Therefore: True
Item: Is 379830 a multiple of 22?
Therefore: True
Item: Is 262390 a multiple of 128?
Therefore: False
Item: Is 16588550 a multiple of 166?
T... | english |
probability: swr p sequence
---------------------------
Problem: Four letters picked without replacement from mvlmmllvmvmvlmm. Give prob of sequence vvvm.
Gives: 1/195
Problem: Calculate prob of sequence mk when two letters picked without replacement from {j: 1, m: 1, k: 1, c: 1, a: 2, g: 1}.
Gives: 1/42
Problem: Three... | english |
numbers: div remainder
----------------------
Q.: Calculate the remainder when 491 is divided by 97.
Key: 6
Q.: What is the remainder when 17583 is divided by 26?
Key: 7
Q.: What is the remainder when 55528618 is divided by 140?
Key: 138
Q.: What is the remainder when 782164 is divided by 30082?
Key: 32
Q.: Calculate t... | english |
numbers: is factor
------------------
Exercise: Is 73 a factor of 2013645397?
Outcome: False
Exercise: Does 15 divide 2175?
Outcome: True
Exercise: Is 37649063 a multiple of 26?
Outcome: False
Exercise: Is 967870 a multiple of 10?
Outcome: True
Exercise: Is 48 a factor of 2112?
Outcome: True
Exercise: Is 663 a factor o... | english |
numbers: div remainder
----------------------
Problem Statement: What is the remainder when 78 is divided by 69?
Thus: 9
Problem Statement: What is the remainder when 127 is divided by 58?
Thus: 11
Problem Statement: Calculate the remainder when 35428 is divided by 1476.
Thus: 4
Problem Statement: What is the remainder... | english |
numbers: is factor
------------------
Let us solve: Is 16 a factor of 327?
Result: False
Let us solve: Does 536 divide 22916965?
Result: False
Let us solve: Is 96032438 a multiple of 2098?
Result: False
Let us solve: Is 11 a factor of 50384?
Result: False
Let us solve: Is 631894 a multiple of 34?
Result: False
Let us s... | english |
numbers: lcm
------------
Statement: Calculate the common denominator of 63/136 and 64/425.
Conclusion: 3400
Statement: Find the common denominator of 37/45 and 47/5475.
Conclusion: 16425
Statement: Calculate the smallest common multiple of 3610318 and 2.
Conclusion: 3610318
Statement: Calculate the lowest common multi... | english |
numbers: is prime
-----------------
Subquestion: Is 9738401 a prime number?
Fix: True
Subquestion: Is 1550962603 composite?
Fix: False
Subquestion: Is 42953 prime?
Fix: True
Subquestion: Is 57713141 prime?
Fix: False
Subquestion: Is 3337 a prime number?
Fix: False
Subquestion: Is 116332981427 a composite number?
Fix: T... | english |
numbers: place value
--------------------
Let: What is the tens digit of 8836?
Outcome: 3
Let: What is the thousands digit of 6044876?
Outcome: 4
Let: What is the tens digit of 819498?
Outcome: 9
Let: What is the hundred thousands digit of 7049416103?
Outcome: 4
Let: What is the tens digit of 757?
Outcome: 5
Let: What ... | english |
numbers: place value
--------------------
Prompt: What is the millions digit of 9173891?
Response: 9
Prompt: What is the ten thousands digit of 22153?
Response: 2
Prompt: What is the hundreds digit of 125744?
Response: 7
Prompt: What is the hundreds digit of 191861?
Response: 8
Prompt: What is the tens digit of 1104?
R... | english |
numbers: gcd
------------
Exercise: Calculate the greatest common divisor of 468 and 5196.
Fix: 12
Exercise: Calculate the highest common factor of 169737830 and 293.
Fix: 293
Exercise: What is the greatest common divisor of 2457 and 9737?
Fix: 91
Exercise: What is the highest common factor of 1548960 and 612208?
Fix: ... | english |
probability: swr p level set
----------------------------
Q: Four letters picked without replacement from {n: 4, p: 4, z: 1, i: 1, r: 3}. Give prob of picking 2 r and 2 n.
Answer: 18/715
Q: What is prob of picking 1 x and 1 h when two letters picked without replacement from xhnhgrnrk?
Answer: 1/18
Q: Two letters picked... | english |
probability: swr p level set
----------------------------
Problem: Four letters picked without replacement from aabbabbabbbab. What is prob of picking 3 a and 1 b?
Ans: 16/143
Problem: Two letters picked without replacement from kupukkkpuouoppokk. What is prob of picking 1 u and 1 k?
Ans: 3/17
Problem: Calculate prob o... | english |
numbers: gcd
------------
Inquiry: What is the highest common factor of 1170 and 1530?
Derivation: 90
Inquiry: What is the highest common divisor of 398649 and 51792?
Derivation: 249
Inquiry: What is the highest common factor of 633832 and 56?
Derivation: 8
Inquiry: Calculate the highest common factor of 748 and 527.
D... | english |
numbers: is prime
-----------------
Part A: Is 1120883 composite?
Response: False
Part A: Is 63193754051 a composite number?
Response: True
Part A: Is 13751 a composite number?
Response: False
Part A: Is 12926523553 prime?
Response: False
Part A: Is 21685 composite?
Response: True
Part A: Is 116164439 a prime number?
R... | english |
numbers: place value
--------------------
Issue: What is the hundreds digit of 934?
Gives: 9
Issue: What is the hundreds digit of 695?
Gives: 6
Issue: What is the ten thousands digit of 17844606?
Gives: 4
Issue: What is the ten thousands digit of 1498641390?
Gives: 4
Issue: What is the thousands digit of 720737?
Gives:... | english |
numbers: is factor
------------------
Ask: Does 12 divide 2574866?
Interpretation: False
Ask: Does 9 divide 6840?
Interpretation: True
Ask: Is 38 a factor of 492025?
Interpretation: False
Ask: Is 477753494 a multiple of 16?
Interpretation: False
Ask: Does 20 divide 5180?
Interpretation: True
Ask: Is 3446566 a multiple ... | english |
arithmetic: nearest integer root
--------------------------------
Topic: What is the square root of 9298680 to the nearest integer?
Steps: 3049
Topic: What is 13859310 to the power of 1/2, to the nearest integer?
Steps: 3723
Topic: What is the square root of 2747 to the nearest integer?
Steps: 52
Topic: What is 6765 to... | english |
numbers: place value
--------------------
Case: What is the millions digit of 42264515?
Key: 2
Case: What is the units digit of 70088?
Key: 8
Case: What is the ten thousands digit of 39151?
Key: 3
Case: What is the hundreds digit of 1134273096?
Key: 0
Case: What is the thousands digit of 1524319?
Key: 4
Case: What is t... | english |
measurement: conversion
-----------------------
Puzzle: What is 3/8 of a kilogram in grams?
Hence: 375
Puzzle: What is three tenths of a gram in milligrams?
Hence: 300
Puzzle: Convert 7.210105km to nanometers.
Hence: 7210105000000
Puzzle: What is 29.38782 months in years?
Hence: 2.448985
Puzzle: Convert 858453.9l to mi... | english |
numbers: is prime
-----------------
Topic: Is 4399 a composite number?
Response: True
Topic: Is 3982478 prime?
Response: False
Topic: Is 25954528907 a composite number?
Response: False
Topic: Is 135850281893 a composite number?
Response: True
Topic: Is 5815 prime?
Response: False
Topic: Is 7227859 a composite number?
R... | english |
numbers: place value
--------------------
Query: What is the thousands digit of 564564755?
Sol: 4
Query: What is the ten thousands digit of 103423?
Sol: 0
Query: What is the tens digit of 1448?
Sol: 4
Query: What is the tens digit of 11158?
Sol: 5
Query: What is the hundreds digit of 1798?
Sol: 7
Query: What is the ten... | english |
numbers: place value
--------------------
Request: What is the millions digit of 9505383?
= : 9
Request: What is the units digit of 12033042?
= : 2
Request: What is the units digit of 2927?
= : 7
Request: What is the thousands digit of 1384?
= : 1
Request: What is the ten thousands digit of 2522290495?
= : 9
Request: W... | english |
numbers: is prime
-----------------
Exercise: Is 25321586699 a prime number?
Final Answer: True
Exercise: Is 473091691 a composite number?
Final Answer: True
Exercise: Is 1302865 prime?
Final Answer: False
Exercise: Is 12229 prime?
Final Answer: False
Exercise: Is 40722523 a composite number?
Final Answer: False
Exerci... | english |
numbers: place value
--------------------
Problem #: What is the thousands digit of 2101?
Math A: 2
Problem #: What is the thousands digit of 165859289?
Math A: 9
Problem #: What is the thousands digit of 2628533931?
Math A: 3
Problem #: What is the hundreds digit of 5344?
Math A: 3
Problem #: What is the hundred thous... | english |
measurement: conversion
-----------------------
Inquiry: What is 508.453 hours in seconds?
Hence: 1830430.8
Inquiry: What is 3/40 of a gram in micrograms?
Hence: 75000
Inquiry: What is 76.51205mm in meters?
Hence: 0.07651205
Inquiry: Convert 0.199932 millilitres to litres.
Hence: 0.000199932
Inquiry: What is 29/5 of a ... | english |
numbers: is prime
-----------------
Subject: Is 111253817 composite?
Result: False
Subject: Is 3397594663 composite?
Result: False
Subject: Is 175141 a prime number?
Result: True
Subject: Is 142520276903 prime?
Result: False
Subject: Is 10956823 a composite number?
Result: True
Subject: Is 997759063 prime?
Result: Fals... | english |
probability: swr p level set
----------------------------
Step: What is prob of picking 1 n and 3 u when four letters picked without replacement from {u: 7, n: 1}?
A: 1/2
Step: Three letters picked without replacement from {v: 1, p: 11}. What is prob of picking 1 v and 2 p?
A: 1/4
Step: Calculate prob of picking 1 h, 1... | english |
measurement: conversion
-----------------------
Issue: What is 3/40 of a kilometer in centimeters?
Clarification: 7500
Issue: How many grams are there in seventeen quarters of a kilogram?
Clarification: 4250
Issue: What is 8.365368 litres in millilitres?
Clarification: 8365.368
Issue: What is 86/3 of a week in hours?
C... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 5471 is divided by 72?
Clarification: 71
Example: Calculate the remainder when 183442649 is divided by 3.
Clarification: 2
Example: Calculate the remainder when 36950 is divided by 11985.
Clarification: 995
Example: What is the remainder ... | english |
numbers: is prime
-----------------
Part A: Is 1517191 prime?
Conclusion: False
Part A: Is 2280547 a composite number?
Conclusion: False
Part A: Is 79951393411 a prime number?
Conclusion: False
Part A: Is 2300575903 a prime number?
Conclusion: True
Part A: Is 2656433041 composite?
Conclusion: True
Part A: Is 1559 compo... | english |
numbers: place value
--------------------
Math Problem: What is the hundreds digit of 16936?
Response: 9
Math Problem: What is the thousands digit of 19673?
Response: 9
Math Problem: What is the millions digit of 2547508?
Response: 2
Math Problem: What is the units digit of 1706?
Response: 6
Math Problem: What is the t... | english |
measurement: time
-----------------
Query: How many minutes are there between 1:53 AM and 6:49 AM?
Eval: 296
Query: What is 680 minutes before 6:05 AM?
Eval: 6:45 PM
Query: How many minutes are there between 11:26 AM and 4:17 PM?
Eval: 291
Query: What is 318 minutes before 1:34 AM?
Eval: 8:16 PM
Query: What is 400 minu... | english |
measurement: time
-----------------
Exercise: What is 627 minutes after 3:18 AM?
Steps: 1:45 PM
Exercise: How many minutes are there between 11:56 AM and 7:50 PM?
Steps: 474
Exercise: What is 325 minutes before 2:18 AM?
Steps: 8:53 PM
Exercise: What is 149 minutes after 11:48 AM?
Steps: 2:17 PM
Exercise: What is 203 mi... | english |
numbers: gcd
------------
Subject: What is the greatest common factor of 1044 and 86304?
Derivation: 348
Subject: Calculate the greatest common factor of 220 and 83120.
Derivation: 20
Subject: What is the greatest common factor of 11215455 and 625605?
Derivation: 3495
Subject: Calculate the greatest common factor of 34... | english |
numbers: is prime
-----------------
Q): Is 9347 a prime number?
Explanation: False
Q): Is 86444587 composite?
Explanation: True
Q): Is 812103883 a composite number?
Explanation: False
Q): Is 199739 composite?
Explanation: False
Q): Is 9033373 composite?
Explanation: True
Q): Is 1168680431 a prime number?
Explanation: F... | english |
probability: swr p sequence
---------------------------
Subquestion: Calculate prob of sequence pppb when four letters picked without replacement from {h: 2, p: 4, b: 6}.
Gives: 2/165
Subquestion: Four letters picked without replacement from {h: 1, e: 2, q: 2, s: 3, d: 2, y: 10}. Give prob of sequence hqyq.
Gives: 1/58... | english |
measurement: time
-----------------
Given: What is 398 minutes after 6:55 PM?
Soln: 1:33 AM
Given: How many minutes are there between 12:14 AM and 1:55 AM?
Soln: 101
Given: What is 44 minutes after 2:23 AM?
Soln: 3:07 AM
Given: How many minutes are there between 5:45 PM and 4:28 AM?
Soln: 643
Given: What is 607 minutes... | english |
numbers: div remainder
----------------------
Q: Calculate the remainder when 167 is divided by 19.
Therefore: 15
Q: Calculate the remainder when 6937 is divided by 23.
Therefore: 14
Q: Calculate the remainder when 228 is divided by 13.
Therefore: 7
Q: What is the remainder when 7964 is divided by 59?
Therefore: 58
Q: ... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is the fifth root of 730397 to the nearest integer?
= : 15
Prompt: What is 288303826 to the power of 1/5, to the nearest integer?
= : 49
Prompt: What is the square root of 89079264 to the nearest integer?
= : 9438
Prompt: What is the square ... | english |
probability: swr p sequence
---------------------------
Input: What is prob of sequence iijy when four letters picked without replacement from iyyyijiiyiyyyiv?
Derivation: 1/156
Input: Two letters picked without replacement from {h: 2, g: 1, r: 2, s: 1, o: 2}. What is prob of sequence gg?
Derivation: 0
Input: What is p... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is 97174 to the power of 1/2, to the nearest integer?
Finding: 312
Ask: What is 149710477 to the power of 1/2, to the nearest integer?
Finding: 12236
Ask: What is the ninth root of 69516464 to the nearest integer?
Finding: 7
Ask: What is 1896 t... | english |
numbers: is prime
-----------------
Inquiry: Is 59741 composite?
Output: True
Inquiry: Is 23972618447 prime?
Output: False
Inquiry: Is 57969887 a prime number?
Output: True
Inquiry: Is 39877537 composite?
Output: True
Inquiry: Is 622203 a composite number?
Output: True
Inquiry: Is 396667 prime?
Output: True
Inquiry: Is... | english |
arithmetic: nearest integer root
--------------------------------
Statement: What is 282285 to the power of 1/7, to the nearest integer?
→: 6
Statement: What is the cube root of 1586398150 to the nearest integer?
→: 1166
Statement: What is 158646274 to the power of 1/4, to the nearest integer?
→: 112
Statement: What is... | english |
measurement: time
-----------------
Qn: How many minutes are there between 2:41 AM and 9:42 AM?
Therefore: 421
Qn: What is 444 minutes before 12:10 AM?
Therefore: 4:46 PM
Qn: How many minutes are there between 7:11 AM and 11:36 AM?
Therefore: 265
Qn: How many minutes are there between 6:27 PM and 9:42 PM?
Therefore: 19... | english |
numbers: place value
--------------------
Q.: What is the thousands digit of 517831?
Thus: 7
Q.: What is the units digit of 10614?
Thus: 4
Q.: What is the units digit of 19624?
Thus: 4
Q.: What is the thousands digit of 5177?
Thus: 5
Q.: What is the hundred thousands digit of 179823?
Thus: 1
Q.: What is the units digit... | english |
measurement: time
-----------------
Item: What is 176 minutes after 1:46 AM?
Workthrough: 4:42 AM
Item: How many minutes are there between 4:45 AM and 4:39 PM?
Workthrough: 714
Item: What is 662 minutes before 1:30 AM?
Workthrough: 2:28 PM
Item: What is 526 minutes before 5:57 PM?
Workthrough: 9:11 AM
Item: How many mi... | english |
numbers: place value
--------------------
Task: What is the units digit of 6853396?
Solution: 6
Task: What is the ten millions digit of 4134446953?
Solution: 3
Task: What is the ten thousands digit of 132458?
Solution: 3
Task: What is the thousands digit of 5711711?
Solution: 1
Task: What is the hundreds digit of 57376... | english |
probability: swr p sequence
---------------------------
Math Problem: Two letters picked without replacement from {x: 3}. Give prob of sequence xx.
Workthrough: 1
Math Problem: Calculate prob of sequence lt when two letters picked without replacement from {t: 1, l: 12}.
Workthrough: 1/13
Math Problem: Calculate prob of... | english |
measurement: conversion
-----------------------
Prompt: How many centuries are there in 959254.3 years?
Therefore: 9592.543
Prompt: Convert 301851.9 decades to months.
Therefore: 36222228
Prompt: Convert 600.8957 millennia to months.
Therefore: 7210748.4
Prompt: How many nanometers are there in 430328.7 centimeters?
Th... | english |
probability: swr p level set
----------------------------
Q/A: Calculate prob of picking 3 l when three letters picked without replacement from xlfflflxmlf.
Sol: 4/165
Q/A: Three letters picked without replacement from tttttt. What is prob of picking 3 t?
Sol: 1
Q/A: Four letters picked without replacement from {y: 2, ... | english |
numbers: is prime
-----------------
Challenge: Is 376701361 prime?
Ans: False
Challenge: Is 24566639747 composite?
Ans: True
Challenge: Is 7241 a prime number?
Ans: False
Challenge: Is 12655 a composite number?
Ans: True
Challenge: Is 1108550791 prime?
Ans: False
Challenge: Is 34739 composite?
Ans: False
Challenge: Is ... | english |
numbers: place value
--------------------
Given: What is the thousands digit of 6950949?
Soln: 0
Given: What is the thousands digit of 36974?
Soln: 6
Given: What is the thousands digit of 1959?
Soln: 1
Given: What is the millions digit of 22025481?
Soln: 2
Given: What is the hundreds digit of 3324164997?
Soln: 9
Given:... | english |
numbers: div remainder
----------------------
Q-: What is the remainder when 1414842 is divided by 34503?
A.: 219
Q-: Calculate the remainder when 63988777 is divided by 5457.
A.: 5452
Q-: What is the remainder when 686575072 is divided by 398?
A.: 396
Q-: What is the remainder when 504336 is divided by 835?
A.: 831
Q-... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is the square root of 303164 to the nearest integer?
Math A: 551
Prompt: What is 49196943 to the power of 1/6, to the nearest integer?
Math A: 19
Prompt: What is 37879251 to the power of 1/9, to the nearest integer?
Math A: 7
Prompt: What is... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is 627753 to the power of 1/2, to the nearest integer?
Response: 792
Prompt: What is the third root of 2286421 to the nearest integer?
Response: 132
Prompt: What is the square root of 7463 to the nearest integer?
Response: 86
Prompt: What is... | english |
numbers: is factor
------------------
Problem #: Is 441560 a multiple of 95?
Response: True
Problem #: Does 177 divide 128184993?
Response: True
Problem #: Does 5 divide 12049?
Response: False
Problem #: Is 65 a factor of 4720?
Response: False
Problem #: Is 272 a factor of 558960?
Response: True
Problem #: Does 28 divi... | english |
probability: swr p level set
----------------------------
Let: What is prob of picking 1 f and 1 p when two letters picked without replacement from {n: 6, f: 3, p: 2, r: 1}?
Eval: 1/11
Let: Two letters picked without replacement from {c: 3, p: 3, h: 5, v: 2}. What is prob of picking 1 p and 1 v?
Eval: 1/13
Let: What is... | english |
arithmetic: nearest integer root
--------------------------------
Qn: What is the third root of 38671275 to the nearest integer?
Gives: 338
Qn: What is 566 to the power of 1/2, to the nearest integer?
Gives: 24
Qn: What is the fourth root of 1037960 to the nearest integer?
Gives: 32
Qn: What is the tenth root of 552086... | english |
numbers: place value
--------------------
Qn: What is the millions digit of 481211928?
Calculation: 1
Qn: What is the thousands digit of 204304?
Calculation: 4
Qn: What is the hundreds digit of 1090?
Calculation: 0
Qn: What is the hundred thousands digit of 385254?
Calculation: 3
Qn: What is the tens digit of 4749086?
... | english |
numbers: gcd
------------
Case: What is the highest common divisor of 6026 and 14412858?
Solution: 46
Case: Calculate the greatest common factor of 123598 and 174.
Solution: 58
Case: What is the highest common factor of 30647 and 1843?
Solution: 19
Case: Calculate the greatest common factor of 11061 and 938956.
Solutio... | english |
measurement: time
-----------------
Puzzle: What is 266 minutes before 5:26 PM?
Ans: 1:00 PM
Puzzle: How many minutes are there between 3:26 PM and 6:32 PM?
Ans: 186
Puzzle: What is 354 minutes before 8:58 AM?
Ans: 3:04 AM
Puzzle: How many minutes are there between 4:17 PM and 12:07 AM?
Ans: 470
Puzzle: What is 692 min... | english |
measurement: conversion
-----------------------
Test item: How many millilitres are there in eleven eighths of a litre?
Final Answer: 1375
Test item: How many minutes are there in 11/4 of a day?
Final Answer: 3960
Test item: Convert 98.32194 decades to centuries.
Final Answer: 9.832194
Test item: What is one twentieth ... | english |
numbers: place value
--------------------
Math Problem: What is the thousands digit of 103919?
Workthrough: 3
Math Problem: What is the ten thousands digit of 1031109141?
Workthrough: 0
Math Problem: What is the hundreds digit of 363?
Workthrough: 3
Math Problem: What is the thousands digit of 83931623?
Workthrough: 1
... | english |
numbers: is prime
-----------------
Subquestion: Is 63730714205 prime?
Calculation: False
Subquestion: Is 492127151 a prime number?
Calculation: False
Subquestion: Is 33518195819 a composite number?
Calculation: False
Subquestion: Is 61871231 a prime number?
Calculation: False
Subquestion: Is 510107 prime?
Calculation:... | english |
measurement: time
-----------------
What if: How many minutes are there between 7:03 AM and 6:42 PM?
Response: 699
What if: What is 244 minutes before 6:37 AM?
Response: 2:33 AM
What if: What is 578 minutes before 7:41 AM?
Response: 10:03 PM
What if: What is 708 minutes before 5:01 PM?
Response: 5:13 AM
What if: How ma... | english |
probability: swr p sequence
---------------------------
Prompt: What is prob of sequence ii when two letters picked without replacement from {i: 2, v: 4}?
Workthrough: 1/15
Prompt: Two letters picked without replacement from zbzb. Give prob of sequence zb.
Workthrough: 1/3
Prompt: Four letters picked without replacemen... | english |
arithmetic: nearest integer root
--------------------------------
Problem #: What is 1664 to the power of 1/3, to the nearest integer?
Derivation: 12
Problem #: What is 24363 to the power of 1/8, to the nearest integer?
Derivation: 4
Problem #: What is 22868 to the power of 1/2, to the nearest integer?
Derivation: 151
... | english |
numbers: is factor
------------------
Statement: Does 35 divide 144482476?
Steps: False
Statement: Is 419646951 a multiple of 9?
Steps: True
Statement: Is 270010705 a multiple of 218?
Steps: False
Statement: Is 34464 a multiple of 24?
Steps: True
Statement: Is 252 a factor of 90468?
Steps: True
Statement: Is 28 a facto... | english |
arithmetic: nearest integer root
--------------------------------
Q-: What is the square root of 254 to the nearest integer?
Result: 16
Q-: What is the third root of 1532 to the nearest integer?
Result: 12
Q-: What is the ninth root of 671 to the nearest integer?
Result: 2
Q-: What is 22140955 to the power of 1/3, to t... | english |
numbers: lcm
------------
Prompt: Find the common denominator of -46/3707 and -4/18535.
Derivation: 18535
Prompt: What is the lowest common multiple of 468 and 807?
Derivation: 125892
Prompt: Calculate the smallest common multiple of 245220 and 16270.
Derivation: 398972940
Prompt: Calculate the common denominator of -8... | english |
measurement: conversion
-----------------------
Part A: How many millilitres are there in 26/5 of a litre?
Calculation: 5200
Part A: How many millimeters are there in 44/5 of a centimeter?
Calculation: 88
Part A: What is eighteen fifths of a litre in millilitres?
Calculation: 3600
Part A: How many months are there in 5... | english |
numbers: gcd
------------
Math Q: Calculate the highest common divisor of 19 and 8759.
Answer: 19
Math Q: What is the highest common divisor of 152 and 114?
Answer: 38
Math Q: What is the highest common factor of 31200 and 300?
Answer: 300
Math Q: Calculate the highest common factor of 55759 and 345103.
Answer: 1507
Ma... | english |
numbers: is prime
-----------------
Given: Is 131837 a prime number?
Derivation: True
Given: Is 883451027 prime?
Derivation: True
Given: Is 10639459 a composite number?
Derivation: True
Given: Is 63157 composite?
Derivation: True
Given: Is 1145281 composite?
Derivation: False
Given: Is 177467 a composite number?
Deriva... | english |
arithmetic: nearest integer root
--------------------------------
Given: What is the square root of 504708 to the nearest integer?
Key: 710
Given: What is the tenth root of 60401 to the nearest integer?
Key: 3
Given: What is 4392 to the power of 1/5, to the nearest integer?
Key: 5
Given: What is the square root of 9788... | english |
numbers: is prime
-----------------
Task: Is 4635731 a composite number?
Hence: False
Task: Is 318339503 a prime number?
Hence: True
Task: Is 2112143723 composite?
Hence: True
Task: Is 1137635593 composite?
Hence: True
Task: Is 49940453 composite?
Hence: True
Task: Is 2047061 composite?
Hence: False
Task: Is 8411955547... | english |
numbers: div remainder
----------------------
Exercise: What is the remainder when 327 is divided by 30?
Final Answer: 27
Exercise: What is the remainder when 1386580 is divided by 69329?
Final Answer: 0
Exercise: Calculate the remainder when 1149217 is divided by 25.
Final Answer: 17
Exercise: Calculate the remainder ... | english |
arithmetic: nearest integer root
--------------------------------
Request: What is 100 to the power of 1/6, to the nearest integer?
Answer: 2
Request: What is 2242857 to the power of 1/3, to the nearest integer?
Answer: 131
Request: What is the third root of 609937044 to the nearest integer?
Answer: 848
Request: What i... | english |
probability: swr p sequence
---------------------------
What if: Two letters picked without replacement from gssssjjjsssg. Give prob of sequence sg.
Interpretation: 7/66
What if: Calculate prob of sequence wwk when three letters picked without replacement from {k: 4, h: 2, w: 6}.
Interpretation: 1/11
What if: Calculate... | english |
numbers: gcd
------------
Q-: Calculate the greatest common divisor of 35 and 630.
Ans: 35
Q-: Calculate the highest common factor of 11178 and 738.
Ans: 18
Q-: Calculate the greatest common factor of 42 and 8288.
Ans: 14
Q-: What is the greatest common factor of 46 and 298678?
Ans: 46
Q-: What is the greatest common f... | english |
numbers: lcm
------------
Example: What is the common denominator of -10/25929 and -103/42?
Interpretation: 363006
Example: What is the least common multiple of 26 and 118878?
Interpretation: 1545414
Example: Find the common denominator of 167/190512 and 7/176.
Interpretation: 2095632
Example: Calculate the common deno... | english |
measurement: time
-----------------
Example: How many minutes are there between 7:43 PM and 6:07 AM?
Soln: 624
Example: What is 557 minutes before 9:52 PM?
Soln: 12:35 PM
Example: How many minutes are there between 4:46 PM and 5:19 PM?
Soln: 33
Example: How many minutes are there between 1:36 PM and 1:13 AM?
Soln: 697
... | english |
numbers: is factor
------------------
Item: Is 1353 a multiple of 11?
Resolution: True
Item: Does 336 divide 120288?
Resolution: True
Item: Is 26858320 even?
Resolution: True
Item: Is 11 a factor of 13580?
Resolution: False
Item: Is 919 a multiple of 46?
Resolution: False
Item: Is 7 a factor of 867183?
Resolution: Fals... | english |
numbers: place value
--------------------
Q-: What is the tens digit of 9773?
Ans: 7
Q-: What is the units digit of 5376?
Ans: 6
Q-: What is the hundreds digit of 460065883?
Ans: 8
Q-: What is the tens digit of 284?
Ans: 8
Q-: What is the hundred thousands digit of 633441?
Ans: 6
Q-: What is the ten thousands digit of ... | english |
numbers: lcm
------------
Subquestion: Find the common denominator of 145/72 and -65/48.
Conclusion: 144
Subquestion: What is the common denominator of 151/6630 and -94/4641?
Conclusion: 46410
Subquestion: What is the smallest common multiple of 14 and 24?
Conclusion: 168
Subquestion: Calculate the common denominator o... | english |
numbers: gcd
------------
Qn: What is the greatest common factor of 6 and 8?
Key: 2
Qn: Calculate the greatest common factor of 114884 and 70.
Key: 14
Qn: Calculate the highest common factor of 988 and 1300.
Key: 52
Qn: Calculate the greatest common factor of 21 and 27727.
Key: 7
Qn: Calculate the greatest common divis... | english |
probability: swr p sequence
---------------------------
Topic: What is prob of sequence dv when two letters picked without replacement from fpfydvff?
Key: 1/56
Topic: Three letters picked without replacement from {v: 1, j: 3, p: 10, l: 2, s: 3}. What is prob of sequence ljl?
Key: 1/969
Topic: Calculate prob of sequence... | english |
numbers: gcd
------------
Example: What is the highest common factor of 2 and 14426?
Answer: 2
Example: What is the highest common divisor of 2376 and 314226?
Answer: 594
Example: Calculate the greatest common divisor of 179290920 and 219.
Answer: 219
Example: Calculate the greatest common divisor of 10950 and 6.
Answe... | english |
probability: swr p sequence
---------------------------
Part A: Two letters picked without replacement from {d: 3, v: 3}. What is prob of sequence vv?
Answer: 1/5
Part A: Calculate prob of sequence dd when two letters picked without replacement from {e: 10, d: 2}.
Answer: 1/66
Part A: Four letters picked without replac... | english |
arithmetic: nearest integer root
--------------------------------
Q.: What is the square root of 118702820 to the nearest integer?
Result: 10895
Q.: What is 485 to the power of 1/3, to the nearest integer?
Result: 8
Q.: What is the cube root of 924740085 to the nearest integer?
Result: 974
Q.: What is the third root of... | english |
numbers: gcd
------------
Ask: Calculate the greatest common divisor of 204 and 124.
Solution: 4
Ask: What is the highest common divisor of 1024 and 645888?
Solution: 256
Ask: Calculate the greatest common divisor of 853974 and 114.
Solution: 114
Ask: Calculate the greatest common divisor of 1428 and 35972.
Solution: 6... | english |
numbers: lcm
------------
Subquestion: Calculate the common denominator of 149/2352 and -109/2408.
Yields: 101136
Subquestion: Calculate the lowest common multiple of 7 and 4184.
Yields: 29288
Subquestion: What is the lowest common multiple of 18 and 288?
Yields: 288
Subquestion: What is the least common multiple of 98... | english |
numbers: gcd
------------
Given: What is the greatest common divisor of 379632 and 35231?
Steps: 719
Given: Calculate the greatest common divisor of 106 and 8798.
Steps: 106
Given: Calculate the greatest common factor of 6 and 54.
Steps: 6
Given: Calculate the highest common factor of 38 and 933900521.
Steps: 19
Given:... | english |
measurement: conversion
-----------------------
Ask: What is 3854.549 litres in millilitres?
Thus: 3854549
Ask: Convert 165.3719 tonnes to nanograms.
Thus: 165371900000000000
Ask: How many microseconds are there in 58.0185 hours?
Thus: 208866600000
Ask: How many nanoseconds are there in twenty-nine fifths of a microsec... | english |
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