text stringlengths 256 2k | language stringclasses 2
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numbers: div remainder
----------------------
Challenge: What is the remainder when 249080 is divided by 123726?
Workthrough: 1628
Challenge: Calculate the remainder when 107 is divided by 55.
Workthrough: 52
Challenge: What is the remainder when 1308109 is divided by 28352?
Workthrough: 3917
Challenge: Calculate the r... | english |
measurement: conversion
-----------------------
Qn: What is 6191.23m in micrometers?
Response: 6191230000
Qn: What is 21/8 of a microgram in nanograms?
Response: 2625
Qn: How many decades are there in 17/4 of a millennium?
Response: 425
Qn: How many kilograms are there in 1.38111 nanograms?
Response: 0.0000000000013811... | english |
probability: swr p sequence
---------------------------
Exercise: What is prob of sequence tt when two letters picked without replacement from {t: 7, n: 3}?
Yields: 7/15
Exercise: Two letters picked without replacement from {c: 8, u: 7, t: 2, s: 1, o: 1}. Give prob of sequence tt.
Yields: 1/171
Exercise: Three letters ... | english |
arithmetic: nearest integer root
--------------------------------
Question: What is the cube root of 39280770 to the nearest integer?
Resolution: 340
Question: What is 619430 to the power of 1/5, to the nearest integer?
Resolution: 14
Question: What is the cube root of 171280 to the nearest integer?
Resolution: 56
Ques... | english |
numbers: lcm
------------
Ask: What is the smallest common multiple of 75 and 6?
Workthrough: 150
Ask: Calculate the common denominator of -19/294976 and 5/9218.
Workthrough: 294976
Ask: Calculate the smallest common multiple of 50 and 64.
Workthrough: 1600
Ask: Find the common denominator of 71/6 and -26/112761.
Workt... | english |
numbers: lcm
------------
Conundrum: Calculate the least common multiple of 8307 and 104.
Hence: 66456
Conundrum: Find the common denominator of 121/48 and -145/48.
Hence: 48
Conundrum: What is the lowest common multiple of 582 and 1940?
Hence: 5820
Conundrum: What is the smallest common multiple of 4 and 917?
Hence: 3... | english |
numbers: place value
--------------------
Ask: What is the units digit of 1579671136?
Reply: 6
Ask: What is the hundred thousands digit of 14731156?
Reply: 7
Ask: What is the tens digit of 35099?
Reply: 9
Ask: What is the ten thousands digit of 5610439?
Reply: 1
Ask: What is the units digit of 7023?
Reply: 3
Ask: What ... | english |
numbers: gcd
------------
Scenario: What is the highest common factor of 10578743 and 3689?
Result: 119
Scenario: What is the greatest common factor of 30530709 and 54?
Result: 27
Scenario: Calculate the greatest common divisor of 284071 and 781.
Result: 71
Scenario: What is the greatest common factor of 480 and 30?
Re... | english |
measurement: conversion
-----------------------
Q-: How many years are there in 3/10 of a century?
Resolution: 30
Q-: What is fifteen quarters of a century in years?
Resolution: 375
Q-: How many seconds are there in 55/6 of a minute?
Resolution: 550
Q-: What is 77.45912 centimeters in micrometers?
Resolution: 774591.2
... | english |
numbers: is prime
-----------------
Example: Is 13422791 a prime number?
Calculation: True
Example: Is 7550891 composite?
Calculation: False
Example: Is 82589 a composite number?
Calculation: True
Example: Is 2908651 a prime number?
Calculation: True
Example: Is 38149 composite?
Calculation: False
Example: Is 14155651 ... | english |
numbers: is prime
-----------------
Example: Is 9865168307 composite?
Clarification: False
Example: Is 35059139 a prime number?
Clarification: True
Example: Is 733607 composite?
Clarification: True
Example: Is 112327 prime?
Clarification: True
Example: Is 2600083 composite?
Clarification: True
Example: Is 61560377 a co... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is the cube root of 87895135 to the nearest integer?
Soln: 445
Exercise: What is the cube root of 71433 to the nearest integer?
Soln: 41
Exercise: What is 1550 to the power of 1/3, to the nearest integer?
Soln: 12
Exercise: What is the sev... | english |
numbers: place value
--------------------
Ask: What is the hundreds digit of 2578086?
Answer: 0
Ask: What is the thousands digit of 99448552?
Answer: 8
Ask: What is the thousands digit of 1662?
Answer: 1
Ask: What is the hundreds digit of 362599748?
Answer: 7
Ask: What is the tens digit of 4783966?
Answer: 6
Ask: What ... | english |
numbers: is prime
-----------------
Prompt: Is 42863 composite?
Interpretation: False
Prompt: Is 911 composite?
Interpretation: False
Prompt: Is 10547404509 a prime number?
Interpretation: False
Prompt: Is 4559399821 a composite number?
Interpretation: False
Prompt: Is 425089669 a prime number?
Interpretation: True
Pro... | english |
numbers: is prime
-----------------
Test item: Is 13317310261 prime?
Calculation: True
Test item: Is 537524353 a composite number?
Calculation: False
Test item: Is 10344212621 a composite number?
Calculation: True
Test item: Is 7773739 prime?
Calculation: True
Test item: Is 2056877209 a prime number?
Calculation: False... | english |
probability: swr p sequence
---------------------------
Qn: Calculate prob of sequence mtiz when four letters picked without replacement from zmimiixmiizmxmmxzmmt.
A: 1/969
Qn: What is prob of sequence ene when three letters picked without replacement from {e: 2, n: 1, c: 1, r: 1, w: 1, h: 1}?
A: 1/105
Qn: Calculate pr... | english |
probability: swr p level set
----------------------------
Math Q: What is prob of picking 2 a when two letters picked without replacement from {m: 9, a: 3}?
Workthrough: 1/22
Math Q: Two letters picked without replacement from snbb. What is prob of picking 1 b and 1 n?
Workthrough: 1/3
Math Q: What is prob of picking 1... | english |
probability: swr p sequence
---------------------------
Subquestion: Calculate prob of sequence scdc when four letters picked without replacement from {c: 2, s: 3, d: 4}.
Finding: 1/126
Subquestion: What is prob of sequence iiz when three letters picked without replacement from jggzgzjzzigggggzzgi?
Finding: 2/969
Subqu... | english |
probability: swr p sequence
---------------------------
Q): Four letters picked without replacement from ggjjxxxxqg. What is prob of sequence jgxq?
Explanation: 1/210
Q): Calculate prob of sequence wt when two letters picked without replacement from grtwwwwwwwwtw.
Explanation: 3/26
Q): Two letters picked without replac... | english |
numbers: is prime
-----------------
Query: Is 145083283 prime?
Solution: True
Query: Is 13033 prime?
Solution: True
Query: Is 502257643 prime?
Solution: True
Query: Is 44747369 a composite number?
Solution: False
Query: Is 75585614243 prime?
Solution: False
Query: Is 250117 prime?
Solution: False
Query: Is 87031 compos... | english |
numbers: is factor
------------------
Problem: Is 7871353 a multiple of 18?
Answer: False
Problem: Is 2016 a multiple of 7?
Answer: True
Problem: Is 445500 a multiple of 206?
Answer: False
Problem: Is 1043412120 a multiple of 16?
Answer: False
Problem: Does 18 divide 27732496?
Answer: False
Problem: Does 65 divide 1439... | english |
numbers: is factor
------------------
Qn: Is 44 a factor of 1804?
Clarification: True
Qn: Is 69723 a multiple of 127?
Clarification: True
Qn: Is 70 a factor of 2100?
Clarification: True
Qn: Is 189 a multiple of 63?
Clarification: True
Qn: Is 17 a factor of 22100?
Clarification: True
Qn: Is 84 a factor of 9159?
Clarific... | english |
numbers: div remainder
----------------------
Problem Statement: What is the remainder when 74394 is divided by 18464?
Derivation: 538
Problem Statement: What is the remainder when 90073 is divided by 45011?
Derivation: 51
Problem Statement: What is the remainder when 88793 is divided by 207?
Derivation: 197
Problem St... | english |
measurement: time
-----------------
Qn: What is 570 minutes after 10:16 PM?
Calculation: 7:46 AM
Qn: What is 662 minutes after 5:14 PM?
Calculation: 4:16 AM
Qn: How many minutes are there between 5:18 AM and 1:41 PM?
Calculation: 503
Qn: How many minutes are there between 3:00 AM and 2:04 PM?
Calculation: 664
Qn: How m... | english |
probability: swr p level set
----------------------------
Math Problem: Calculate prob of picking 1 z, 1 w, and 1 p when three letters picked without replacement from zwpgzgxq.
Solution: 1/28
Math Problem: Calculate prob of picking 1 s and 2 b when three letters picked without replacement from ssswbbssssgw.
Solution: 7... | english |
probability: swr p level set
----------------------------
Problem Statement: What is prob of picking 1 g and 3 b when four letters picked without replacement from ugbbegeeehhbuhbeeb?
Result: 1/153
Problem Statement: Calculate prob of picking 2 v and 1 a when three letters picked without replacement from {b: 4, v: 9, a:... | english |
numbers: is factor
------------------
Let us solve: Does 6 divide 967?
Ans: False
Let us solve: Does 306 divide 129080?
Ans: False
Let us solve: Does 57 divide 32270?
Ans: False
Let us solve: Is 11 a factor of 38062922?
Ans: False
Let us solve: Does 64 divide 1044288?
Ans: True
Let us solve: Does 105 divide 5355?
Ans: ... | english |
numbers: lcm
------------
Problem: What is the common denominator of -49/746 and 71/20?
Workthrough: 7460
Problem: What is the common denominator of -103/7052 and -145/738?
Workthrough: 63468
Problem: Calculate the lowest common multiple of 3825 and 9775.
Workthrough: 87975
Problem: Find the common denominator of 31/15... | english |
numbers: lcm
------------
Problem Statement: What is the least common multiple of 1005888 and 6760?
Finding: 5029440
Problem Statement: Calculate the lowest common multiple of 2820 and 1092750.
Finding: 2185500
Problem Statement: Calculate the least common multiple of 298096 and 992.
Finding: 596192
Problem Statement: ... | english |
numbers: is prime
-----------------
Test item: Is 9491 a composite number?
Interpretation: False
Test item: Is 44783 a composite number?
Interpretation: True
Test item: Is 9445522 prime?
Interpretation: False
Test item: Is 174121 prime?
Interpretation: True
Test item: Is 307823 prime?
Interpretation: True
Test item: Is... | english |
measurement: conversion
-----------------------
Let: Convert 0.1746548 days to seconds.
Math A: 15090.17472
Let: How many millilitres are there in three tenths of a litre?
Math A: 300
Let: Convert 5.120334nm to meters.
Math A: 0.000000005120334
Let: What is 7/8 of a millennium in years?
Math A: 875
Let: How many months... | english |
arithmetic: nearest integer root
--------------------------------
Statement: What is the square root of 18375 to the nearest integer?
Math A: 136
Statement: What is the seventh root of 227220 to the nearest integer?
Math A: 6
Statement: What is the square root of 15980871 to the nearest integer?
Math A: 3998
Statement:... | english |
numbers: is factor
------------------
Statement: Does 617 divide 33101433?
Reply: True
Statement: Is 108 a factor of 366077988?
Reply: True
Statement: Does 15 divide 433287480?
Reply: True
Statement: Does 35 divide 604?
Reply: False
Statement: Does 5 divide 1008545?
Reply: True
Statement: Is 7802606 a multiple of 7?
Re... | english |
probability: swr p level set
----------------------------
Problem: Four letters picked without replacement from galglalllggllaa. What is prob of picking 2 g, 1 a, and 1 l?
Yields: 8/65
Problem: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {r: 1, x: 2}.
Yields: 2/3
Problem: Two ... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is the cube root of 96475570 to the nearest integer?
A.: 459
Exercise: What is the seventh root of 233413498 to the nearest integer?
A.: 16
Exercise: What is the seventh root of 481953 to the nearest integer?
A.: 6
Exercise: What is the th... | english |
numbers: is factor
------------------
Issue: Is 13 a factor of 211118?
Solution: False
Issue: Is 13555092 a multiple of 123?
Solution: True
Issue: Does 2 divide 617?
Solution: False
Issue: Does 28 divide 476?
Solution: True
Issue: Is 87 a factor of 5558?
Solution: False
Issue: Is 5 a factor of 335?
Solution: True
Issue... | english |
arithmetic: nearest integer root
--------------------------------
Q.: What is 60395246 to the power of 1/4, to the nearest integer?
Finding: 88
Q.: What is the square root of 1586626 to the nearest integer?
Finding: 1260
Q.: What is the seventh root of 235956025 to the nearest integer?
Finding: 16
Q.: What is the third... | english |
numbers: place value
--------------------
Given: What is the units digit of 5028?
Soln: 8
Given: What is the hundreds digit of 64630?
Soln: 6
Given: What is the hundreds digit of 5677?
Soln: 6
Given: What is the units digit of 10189558?
Soln: 8
Given: What is the ten millions digit of 21090347?
Soln: 2
Given: What is t... | english |
measurement: time
-----------------
Q: How many minutes are there between 6:29 AM and 3:45 PM?
Final Answer: 556
Q: What is 689 minutes after 7:31 AM?
Final Answer: 7:00 PM
Q: What is 115 minutes before 11:57 AM?
Final Answer: 10:02 AM
Q: What is 110 minutes after 12:51 PM?
Final Answer: 2:41 PM
Q: How many minutes are... | english |
measurement: conversion
-----------------------
Q: Convert 68.593 centimeters to micrometers.
Therefore: 685930
Q: How many kilograms are there in 0.6647254t?
Therefore: 664.7254
Q: What is 836988.2mm in micrometers?
Therefore: 836988200
Q: Convert 0.0562635mg to grams.
Therefore: 0.0000562635
Q: Convert 0.4080146 litr... | english |
measurement: conversion
-----------------------
Inquiry: What is twenty-nine halves of a microsecond in nanoseconds?
Therefore: 14500
Inquiry: How many seconds are there in 16/15 of a hour?
Therefore: 3840
Inquiry: How many minutes are there in 1858497.9 seconds?
Therefore: 30974.965
Inquiry: How many millilitres are t... | english |
probability: swr p level set
----------------------------
Q/A: Three letters picked without replacement from yysyysy. What is prob of picking 3 y?
Thus: 2/7
Q/A: What is prob of picking 2 d and 1 m when three letters picked without replacement from {p: 3, c: 3, m: 3, d: 2, i: 3}?
Thus: 3/364
Q/A: Calculate prob of pick... | english |
numbers: is factor
------------------
Prompt: Is 195048 a multiple of 516?
Resolution: True
Prompt: Is 17266 a multiple of 17?
Resolution: False
Prompt: Is 10 a factor of 19140?
Resolution: True
Prompt: Does 73 divide 7078591?
Resolution: True
Prompt: Does 9 divide 60462?
Resolution: True
Prompt: Is 800 a factor of 229... | english |
probability: swr p level set
----------------------------
Request: Three letters picked without replacement from {b: 2, y: 5, q: 2, r: 2, d: 7}. Give prob of picking 1 y and 2 d.
Response: 35/272
Request: Two letters picked without replacement from {a: 6, v: 1, o: 3, y: 1, i: 1}. Give prob of picking 1 y and 1 o.
Respo... | english |
measurement: conversion
-----------------------
Qn: What is 6/5 of a century in months?
Answer: 1440
Qn: How many kilograms are there in 3/5 of a tonne?
Answer: 600
Qn: What is 21/2 of a millennium in centuries?
Answer: 105
Qn: What is 2/125 of a millimeter in micrometers?
Answer: 16
Qn: What is 772.1162 litres in mill... | english |
numbers: gcd
------------
Puzzle: What is the highest common factor of 247 and 13?
Result: 13
Puzzle: Calculate the highest common divisor of 2052376 and 7752.
Result: 136
Puzzle: Calculate the highest common factor of 129152 and 43318388.
Result: 4036
Puzzle: Calculate the highest common divisor of 70148 and 1235.
Res... | english |
numbers: is prime
-----------------
Subject: Is 2554647701 a composite number?
Solution: False
Subject: Is 682937917 prime?
Solution: True
Subject: Is 6 prime?
Solution: False
Subject: Is 532477 prime?
Solution: False
Subject: Is 75289 a prime number?
Solution: True
Subject: Is 419362831 prime?
Solution: False
Subject:... | english |
probability: swr p level set
----------------------------
Challenge: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from accma.
Ans: 1/5
Challenge: Two letters picked without replacement from pqpqppqqqbqqpqqqpqpq. Give prob of picking 1 p and 1 b.
Ans: 7/190
Challenge: What is prob of... | english |
arithmetic: nearest integer root
--------------------------------
Q: What is the square root of 1716 to the nearest integer?
Explanation: 41
Q: What is the ninth root of 1401305740 to the nearest integer?
Explanation: 10
Q: What is 257201 to the power of 1/3, to the nearest integer?
Explanation: 64
Q: What is 480356232... | english |
probability: swr p level set
----------------------------
Input: Three letters picked without replacement from {s: 1, l: 3, d: 4, q: 3, c: 4, j: 2}. What is prob of picking 3 d?
Resolution: 1/170
Input: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, d: 9, g: 1, w: 1, u: 2}.
Resolu... | english |
measurement: conversion
-----------------------
Challenge: What is fifty-nine fifths of a milligram in micrograms?
Gives: 11800
Challenge: Convert 16.1046 months to years.
Gives: 1.34205
Challenge: What is 2532.9 weeks in minutes?
Gives: 25531632
Challenge: What is 2.7143304 months in millennia?
Gives: 0.0002261942
Cha... | english |
numbers: place value
--------------------
Scenario: What is the tens digit of 12686?
Yields: 8
Scenario: What is the ten thousands digit of 479304?
Yields: 7
Scenario: What is the billions digit of 1288250329?
Yields: 1
Scenario: What is the hundreds digit of 6913?
Yields: 9
Scenario: What is the hundreds digit of 1345... | english |
probability: swr p sequence
---------------------------
Problem: Four letters picked without replacement from {r: 1, j: 2, d: 1, e: 1}. What is prob of sequence ejrj?
A.: 1/60
Problem: Four letters picked without replacement from iivvviiviiviv. What is prob of sequence vvvv?
A.: 3/143
Problem: Four letters picked witho... | english |
numbers: gcd
------------
Qn: What is the highest common factor of 814 and 74?
Conclusion: 74
Qn: What is the greatest common factor of 33396 and 414?
Conclusion: 138
Qn: What is the greatest common divisor of 1280 and 31760?
Conclusion: 80
Qn: Calculate the highest common factor of 30275245 and 897.
Conclusion: 299
Qn... | english |
numbers: is prime
-----------------
Prompt: Is 28546561 a prime number?
Response: False
Prompt: Is 3569021 a prime number?
Response: True
Prompt: Is 227441 a prime number?
Response: False
Prompt: Is 7360216579 a prime number?
Response: True
Prompt: Is 15912509 a composite number?
Response: False
Prompt: Is 62753 a comp... | english |
numbers: is prime
-----------------
Test item: Is 4441747 prime?
Steps: True
Test item: Is 3049 prime?
Steps: True
Test item: Is 897011021 a composite number?
Steps: False
Test item: Is 67705531031 composite?
Steps: True
Test item: Is 106026589 a prime number?
Steps: False
Test item: Is 42321098399 composite?
Steps: Tr... | english |
numbers: is prime
-----------------
Issue: Is 44531392613 composite?
Solution: True
Issue: Is 115090981 a prime number?
Solution: True
Issue: Is 2298203 composite?
Solution: False
Issue: Is 26927 a composite number?
Solution: False
Issue: Is 1253501 composite?
Solution: True
Issue: Is 1344152423 prime?
Solution: True
I... | english |
numbers: div remainder
----------------------
Let: What is the remainder when 11638618 is divided by 11638315?
→: 303
Let: What is the remainder when 8184684 is divided by 133?
→: 130
Let: Calculate the remainder when 1262939 is divided by 40.
→: 19
Let: Calculate the remainder when 194 is divided by 193.
→: 1
Let: Wha... | english |
numbers: is factor
------------------
Topic: Does 9 divide 312?
Response: False
Topic: Is 2402015 a multiple of 558?
Response: False
Topic: Is 22 a factor of 908?
Response: False
Topic: Is 42 a factor of 31169334?
Response: True
Topic: Does 27 divide 1670247?
Response: True
Topic: Is 739 a factor of 6557886?
Response: ... | english |
numbers: div remainder
----------------------
Problem #: Calculate the remainder when 18913 is divided by 332.
→: 321
Problem #: Calculate the remainder when 146005 is divided by 441.
→: 34
Problem #: What is the remainder when 534274 is divided by 1950?
→: 1924
Problem #: What is the remainder when 2936034 is divided ... | english |
measurement: time
-----------------
Q.: How many minutes are there between 4:38 AM and 4:17 PM?
Final Answer: 699
Q.: How many minutes are there between 5:05 AM and 3:33 PM?
Final Answer: 628
Q.: How many minutes are there between 12:11 PM and 12:51 PM?
Final Answer: 40
Q.: What is 322 minutes before 12:16 PM?
Final An... | english |
probability: swr p sequence
---------------------------
Exercise: Calculate prob of sequence bbsm when four letters picked without replacement from {e: 3, m: 1, s: 1, b: 5}.
Reply: 1/252
Exercise: What is prob of sequence hae when three letters picked without replacement from {h: 1, b: 1, e: 1, w: 1, a: 1}?
Reply: 1/60... | english |
numbers: is prime
-----------------
Input: Is 9419730767 a prime number?
Math A: False
Input: Is 5475642157 prime?
Math A: True
Input: Is 2759 prime?
Math A: False
Input: Is 24831321071 composite?
Math A: False
Input: Is 41831 a composite number?
Math A: True
Input: Is 310757 a composite number?
Math A: True
Input: Is ... | english |
probability: swr p sequence
---------------------------
Q.: What is prob of sequence oykq when four letters picked without replacement from xyyxyoqxxxyxyqxykyq?
Thus: 7/31008
Q.: Calculate prob of sequence ec when two letters picked without replacement from yssssjesyjjeccjjjsye.
Thus: 3/190
Q.: Calculate prob of sequen... | english |
numbers: lcm
------------
Problem: Calculate the common denominator of -139/1529364 and 99/20.
Derivation: 7646820
Problem: Find the common denominator of 9/346852 and -99/18887668.
Derivation: 207764348
Problem: What is the common denominator of 80/21 and -8/105?
Derivation: 105
Problem: Calculate the common denominat... | english |
arithmetic: nearest integer root
--------------------------------
Item: What is the third root of 1221386 to the nearest integer?
Result: 107
Item: What is the square root of 1490149 to the nearest integer?
Result: 1221
Item: What is the third root of 10632154 to the nearest integer?
Result: 220
Item: What is the third... | english |
numbers: place value
--------------------
Ask: What is the tens digit of 577?
Gives: 7
Ask: What is the ten thousands digit of 4132593?
Gives: 3
Ask: What is the units digit of 58189?
Gives: 9
Ask: What is the tens digit of 5679412?
Gives: 1
Ask: What is the tens digit of 151203655?
Gives: 5
Ask: What is the units digi... | english |
numbers: is prime
-----------------
Problem: Is 717356257 a composite number?
Calculation: False
Problem: Is 12337670167 composite?
Calculation: True
Problem: Is 226079 a composite number?
Calculation: True
Problem: Is 1899253 prime?
Calculation: True
Problem: Is 34009621 composite?
Calculation: False
Problem: Is 79278... | english |
numbers: div remainder
----------------------
Conundrum: What is the remainder when 2668508 is divided by 130?
Result: 128
Conundrum: Calculate the remainder when 64780013 is divided by 112.
Result: 109
Conundrum: What is the remainder when 36021504 is divided by 267?
Result: 0
Conundrum: What is the remainder when 228... | english |
numbers: place value
--------------------
Puzzle: What is the units digit of 858?
Sol: 8
Puzzle: What is the tens digit of 492211?
Sol: 1
Puzzle: What is the tens digit of 13241704?
Sol: 0
Puzzle: What is the thousands digit of 41742644?
Sol: 2
Puzzle: What is the hundred thousands digit of 6409439?
Sol: 4
Puzzle: What... | english |
numbers: is prime
-----------------
Example: Is 10993393 a composite number?
Final Answer: False
Example: Is 2532763 composite?
Final Answer: False
Example: Is 225523 composite?
Final Answer: False
Example: Is 352879 a composite number?
Final Answer: True
Example: Is 92811757 a prime number?
Final Answer: True
Example:... | english |
numbers: div remainder
----------------------
Example: Calculate the remainder when 1080 is divided by 155.
Solution: 150
Example: Calculate the remainder when 1406 is divided by 100.
Solution: 6
Example: What is the remainder when 39653689 is divided by 3687?
Solution: 4
Example: Calculate the remainder when 10250 is ... | english |
numbers: div remainder
----------------------
Topic: What is the remainder when 17827118 is divided by 169?
Fix: 153
Topic: What is the remainder when 1279 is divided by 65?
Fix: 44
Topic: What is the remainder when 149182 is divided by 148?
Fix: 146
Topic: What is the remainder when 336518 is divided by 167472?
Fix: 1... | english |
numbers: is prime
-----------------
Prompt: Is 4278722587 a prime number?
Thus: False
Prompt: Is 173039 prime?
Thus: True
Prompt: Is 47755 composite?
Thus: True
Prompt: Is 85236209837 composite?
Thus: False
Prompt: Is 276851191 prime?
Thus: False
Prompt: Is 639356039 a prime number?
Thus: False
Prompt: Is 9587 a compos... | english |
numbers: is prime
-----------------
Problem #: Is 239182 a composite number?
Solution: True
Problem #: Is 18164777 a prime number?
Solution: True
Problem #: Is 24189551 a composite number?
Solution: False
Problem #: Is 58831 a prime number?
Solution: True
Problem #: Is 89166787 composite?
Solution: False
Problem #: Is ... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is 11961234 to the power of 1/9, to the nearest integer?
Ans: 6
Exercise: What is the ninth root of 3232142 to the nearest integer?
Ans: 5
Exercise: What is 1614316 to the power of 1/4, to the nearest integer?
Ans: 36
Exercise: What is the... | english |
numbers: gcd
------------
Case: Calculate the greatest common divisor of 374 and 640730.
Steps: 34
Case: What is the highest common factor of 131644955 and 65?
Steps: 65
Case: What is the highest common factor of 9758103 and 2037?
Steps: 291
Case: What is the greatest common factor of 1020 and 442?
Steps: 34
Case: Calc... | english |
numbers: is factor
------------------
Ask: Does 134 divide 173798?
Conclusion: True
Ask: Is 7 a factor of 9421?
Conclusion: False
Ask: Is 87236 a multiple of 10?
Conclusion: False
Ask: Does 151 divide 36844?
Conclusion: True
Ask: Is 957480792 a multiple of 12?
Conclusion: True
Ask: Is 1732090 a multiple of 11?
Conclusi... | english |
numbers: is prime
-----------------
Let: Is 9599 composite?
Workthrough: True
Let: Is 4101 a prime number?
Workthrough: False
Let: Is 376183 prime?
Workthrough: True
Let: Is 652787 a composite number?
Workthrough: False
Let: Is 235128359 prime?
Workthrough: False
Let: Is 346664023 a prime number?
Workthrough: True
Let:... | english |
numbers: place value
--------------------
Challenge: What is the tens digit of 10752?
Sol: 5
Challenge: What is the units digit of 1613232?
Sol: 2
Challenge: What is the tens digit of 825?
Sol: 2
Challenge: What is the tens digit of 943713?
Sol: 1
Challenge: What is the hundreds digit of 304912?
Sol: 9
Challenge: What ... | english |
measurement: time
-----------------
Puzzle: What is 148 minutes after 10:05 PM?
Gives: 12:33 AM
Puzzle: How many minutes are there between 7:30 PM and 4:37 AM?
Gives: 547
Puzzle: How many minutes are there between 7:00 AM and 6:29 PM?
Gives: 689
Puzzle: What is 82 minutes after 10:50 AM?
Gives: 12:12 PM
Puzzle: How man... | english |
probability: swr p sequence
---------------------------
Qn: Two letters picked without replacement from hhxuhxxhh. Give prob of sequence hh.
Finding: 5/18
Qn: Two letters picked without replacement from {s: 4, e: 6}. What is prob of sequence ss?
Finding: 2/15
Qn: Two letters picked without replacement from bbggkiiglibk... | english |
numbers: div remainder
----------------------
Topic: Calculate the remainder when 3795 is divided by 292.
Sol: 291
Topic: Calculate the remainder when 25851917 is divided by 32807.
Sol: 1
Topic: Calculate the remainder when 9064 is divided by 192.
Sol: 40
Topic: Calculate the remainder when 224 is divided by 80.
Sol: 6... | english |
measurement: conversion
-----------------------
Q-: What is 32/5 of a century in years?
Response: 640
Q-: How many millilitres are there in 3/50 of a litre?
Response: 60
Q-: How many kilograms are there in 3/10 of a tonne?
Response: 300
Q-: How many micrograms are there in 1/4 of a milligram?
Response: 250
Q-: How many... | english |
numbers: place value
--------------------
Part A: What is the tens digit of 2366489488?
Answer: 8
Part A: What is the ten thousands digit of 17392?
Answer: 1
Part A: What is the billions digit of 6172713564?
Answer: 6
Part A: What is the hundreds digit of 1612?
Answer: 6
Part A: What is the tens digit of 47564?
Answer:... | english |
probability: swr p level set
----------------------------
Math Problem: Four letters picked without replacement from yjcnsskkkkksn. What is prob of picking 1 c and 3 s?
Conclusion: 1/715
Math Problem: What is prob of picking 1 f and 1 d when two letters picked without replacement from rffygyffd?
Conclusion: 1/9
Math Pr... | english |
numbers: div remainder
----------------------
Q.: Calculate the remainder when 34012 is divided by 620.
Output: 532
Q.: Calculate the remainder when 41918 is divided by 121.
Output: 52
Q.: Calculate the remainder when 684 is divided by 112.
Output: 12
Q.: Calculate the remainder when 7524 is divided by 14.
Output: 6
Q.... | english |
numbers: is factor
------------------
Test item: Is 400 a factor of 2152640400?
Output: True
Test item: Is 165 a factor of 34155?
Output: True
Test item: Is 104007 a multiple of 17?
Output: False
Test item: Is 1612546 a multiple of 109?
Output: True
Test item: Is 43970634 a multiple of 54?
Output: True
Test item: Does ... | english |
numbers: place value
--------------------
Part A: What is the ten millions digit of 8337531246?
A: 3
Part A: What is the tens digit of 185263?
A: 6
Part A: What is the units digit of 11941?
A: 1
Part A: What is the hundreds digit of 361?
A: 3
Part A: What is the billions digit of 2995932646?
A: 2
Part A: What is the te... | english |
numbers: is factor
------------------
Math Problem: Is 22 a factor of 29358685?
Calculation: False
Math Problem: Is 99 a factor of 237289?
Calculation: False
Math Problem: Does 32 divide 1118390?
Calculation: False
Math Problem: Does 76 divide 272381?
Calculation: False
Math Problem: Does 10 divide 69905?
Calculation: ... | english |
numbers: is factor
------------------
Example: Is 12 a factor of 27255456?
Resolution: True
Example: Is 99 a factor of 322292491?
Resolution: False
Example: Does 23 divide 3334609?
Resolution: True
Example: Is 472 a factor of 94669040?
Resolution: True
Example: Is 20 a factor of 57762007?
Resolution: False
Example: Is ... | english |
probability: swr p sequence
---------------------------
Q.: Two letters picked without replacement from {a: 5, i: 3}. Give prob of sequence aa.
Result: 5/14
Q.: Calculate prob of sequence gja when three letters picked without replacement from hhgahggjgaggggj.
Result: 16/1365
Q.: Calculate prob of sequence tvvx when fou... | english |
measurement: time
-----------------
Situation: How many minutes are there between 1:52 AM and 5:58 AM?
Calculation: 246
Situation: What is 253 minutes after 2:28 AM?
Calculation: 6:41 AM
Situation: What is 344 minutes after 12:34 PM?
Calculation: 6:18 PM
Situation: What is 310 minutes before 2:34 AM?
Calculation: 9:24 ... | english |
numbers: gcd
------------
Inquiry: Calculate the highest common divisor of 96 and 536.
A: 8
Inquiry: What is the greatest common factor of 32 and 144?
A: 16
Inquiry: Calculate the highest common divisor of 5203 and 27588.
A: 121
Inquiry: What is the highest common divisor of 222 and 148?
A: 74
Inquiry: Calculate the gr... | english |
probability: swr p sequence
---------------------------
Statement: Calculate prob of sequence rr when two letters picked without replacement from ffrrfffrffrffffrfff.
→: 10/171
Statement: Four letters picked without replacement from llllmmlltllttlmllmtl. What is prob of sequence lltl?
→: 44/969
Statement: Four letters ... | english |
numbers: gcd
------------
Statement: Calculate the greatest common divisor of 2676 and 12.
Soln: 12
Statement: What is the highest common divisor of 6 and 23474?
Soln: 2
Statement: Calculate the greatest common divisor of 42 and 1498.
Soln: 14
Statement: Calculate the greatest common factor of 3304248 and 9760.
Soln: 4... | english |
probability: swr p sequence
---------------------------
Problem: What is prob of sequence ddp when three letters picked without replacement from pdddpddpdddd?
A: 9/55
Problem: Calculate prob of sequence mzwu when four letters picked without replacement from {w: 1, u: 2, p: 1, m: 2, z: 1}.
A: 1/210
Problem: Calculate pr... | english |
numbers: place value
--------------------
Let us solve: What is the hundreds digit of 3295?
Explanation: 2
Let us solve: What is the hundred thousands digit of 518824?
Explanation: 5
Let us solve: What is the millions digit of 4451498?
Explanation: 4
Let us solve: What is the hundreds digit of 2632?
Explanation: 6
Let ... | english |
probability: swr p level set
----------------------------
Math Q: Three letters picked without replacement from {c: 4, a: 1, n: 9}. What is prob of picking 1 c and 2 n?
Soln: 36/91
Math Q: What is prob of picking 2 b when two letters picked without replacement from fbffbffbbbfffbffff?
Soln: 5/51
Math Q: What is prob of... | english |
numbers: place value
--------------------
Question: What is the hundred thousands digit of 1992528804?
Math A: 5
Question: What is the ten millions digit of 143497127?
Math A: 4
Question: What is the thousands digit of 545744?
Math A: 5
Question: What is the hundred thousands digit of 2583726309?
Math A: 7
Question: Wh... | english |
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