text stringlengths 256 2k | language stringclasses 2
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probability: swr p sequence
---------------------------
Q=: Two letters picked without replacement from kkkkkkkkk. Give prob of sequence kk.
Outcome: 1
Q=: Four letters picked without replacement from acbbaabbaacfbbblba. Give prob of sequence fccl.
Outcome: 1/36720
Q=: What is prob of sequence giu when three letters pi... | english |
measurement: time
-----------------
What if: How many minutes are there between 6:17 AM and 8:04 AM?
Final Answer: 107
What if: How many minutes are there between 9:46 AM and 6:45 PM?
Final Answer: 539
What if: What is 185 minutes after 1:53 AM?
Final Answer: 4:58 AM
What if: How many minutes are there between 2:34 AM ... | english |
numbers: place value
--------------------
Task: What is the units digit of 1478072464?
Explanation: 4
Task: What is the hundreds digit of 2262?
Explanation: 2
Task: What is the tens digit of 48487?
Explanation: 8
Task: What is the units digit of 11694804?
Explanation: 4
Task: What is the millions digit of 62604617?
Exp... | english |
numbers: is factor
------------------
Part A: Is 4359 a factor of 1647820423?
Calculation: False
Part A: Is 20 a factor of 800?
Calculation: True
Part A: Is 55 a factor of 533335?
Calculation: True
Part A: Is 4558 a multiple of 81?
Calculation: False
Part A: Is 1488100 a multiple of 141?
Calculation: False
Part A: Does... | english |
measurement: conversion
-----------------------
Situation: What is 451.726ng in micrograms?
Ans: 0.451726
Situation: What is 55.98584 microseconds in milliseconds?
Ans: 0.05598584
Situation: What is one fifth of a minute in milliseconds?
Ans: 12000
Situation: How many years are there in fifty-one fifths of a decade?
An... | english |
numbers: gcd
------------
What if: What is the highest common factor of 19534267 and 34464?
Explanation: 359
What if: What is the highest common divisor of 2420 and 1820?
Explanation: 20
What if: What is the highest common factor of 5411556 and 9523?
Explanation: 89
What if: Calculate the highest common divisor of 78 a... | english |
numbers: is prime
-----------------
Puzzle: Is 16941658 a composite number?
Reply: True
Puzzle: Is 13367 a composite number?
Reply: False
Puzzle: Is 14281 composite?
Reply: False
Puzzle: Is 168175069 prime?
Reply: True
Puzzle: Is 19635437 a prime number?
Reply: False
Puzzle: Is 67189861 a composite number?
Reply: False... | english |
numbers: gcd
------------
Part A: What is the highest common divisor of 187083 and 123?
Conclusion: 123
Part A: What is the greatest common divisor of 486878 and 166747?
Conclusion: 581
Part A: What is the highest common factor of 627219 and 2331?
Conclusion: 9
Part A: What is the highest common factor of 845 and 5?
Co... | english |
numbers: is prime
-----------------
Prompt: Is 521333 prime?
Response: False
Prompt: Is 78691 prime?
Response: True
Prompt: Is 659047 a composite number?
Response: False
Prompt: Is 45831549 a prime number?
Response: False
Prompt: Is 256460837 prime?
Response: False
Prompt: Is 16596893 prime?
Response: True
Prompt: Is 3... | english |
probability: swr p sequence
---------------------------
Problem #: Two letters picked without replacement from {b: 17, r: 1}. What is prob of sequence bb?
Interpretation: 8/9
Problem #: Calculate prob of sequence qc when two letters picked without replacement from cccqcccqc.
Interpretation: 7/36
Problem #: Three letter... | english |
probability: swr p sequence
---------------------------
Prompt: Calculate prob of sequence cc when two letters picked without replacement from {c: 7, z: 2}.
A: 7/12
Prompt: Calculate prob of sequence fk when two letters picked without replacement from {k: 1, n: 1, f: 2, v: 2}.
A: 1/15
Prompt: Calculate prob of sequence... | english |
numbers: gcd
------------
Exercise: Calculate the greatest common factor of 17969 and 50721353.
Sol: 2567
Exercise: What is the highest common divisor of 20 and 18901430?
Sol: 10
Exercise: Calculate the greatest common divisor of 982965053 and 3703.
Sol: 3703
Exercise: Calculate the greatest common divisor of 4107728 a... | english |
numbers: is prime
-----------------
Inquiry: Is 14491627 a composite number?
Workthrough: False
Inquiry: Is 46731434327 prime?
Workthrough: True
Inquiry: Is 435362789 a composite number?
Workthrough: True
Inquiry: Is 20007311377 a prime number?
Workthrough: True
Inquiry: Is 664520647 a prime number?
Workthrough: False
... | english |
probability: swr p sequence
---------------------------
Prompt: Three letters picked without replacement from {d: 1, k: 1, p: 1, l: 2, z: 1, a: 1}. Give prob of sequence pzd.
Clarification: 1/210
Prompt: Calculate prob of sequence khq when three letters picked without replacement from eghhgkhkehqhgre.
Clarification: 1/... | english |
probability: swr p sequence
---------------------------
Given: Two letters picked without replacement from {i: 2, y: 1, e: 1, q: 2}. Give prob of sequence ei.
Result: 1/15
Given: Calculate prob of sequence xxj when three letters picked without replacement from {x: 4, e: 1, b: 3, s: 4, j: 1}.
Result: 1/143
Given: Three ... | english |
measurement: conversion
-----------------------
Test item: How many seconds are there in 857.2342ms?
Solution: 0.8572342
Test item: Convert 369.758 litres to millilitres.
Solution: 369758
Test item: What is 8.928422 millilitres in litres?
Solution: 0.008928422
Test item: What is 406.2946 days in nanoseconds?
Solution: ... | english |
numbers: is factor
------------------
Problem: Does 18 divide 4746132?
Solution: True
Problem: Does 24 divide 1892556?
Solution: False
Problem: Does 44 divide 2506?
Solution: False
Problem: Is 6 a factor of 33528?
Solution: True
Problem: Is 257226 a multiple of 8?
Solution: False
Problem: Does 17 divide 50694?
Solution... | english |
arithmetic: nearest integer root
--------------------------------
Step: What is the cube root of 23684950 to the nearest integer?
Steps: 287
Step: What is 1766524 to the power of 1/3, to the nearest integer?
Steps: 121
Step: What is the cube root of 84297 to the nearest integer?
Steps: 44
Step: What is 1904504894 to th... | english |
measurement: conversion
-----------------------
Statement: How many millilitres are there in 5/4 of a litre?
A: 1250
Statement: What is thirteen eighths of a litre in millilitres?
A: 1625
Statement: How many centimeters are there in three tenths of a kilometer?
A: 30000
Statement: Convert 582075.3 days to seconds.
A: 5... | english |
numbers: div remainder
----------------------
Part A: Calculate the remainder when 7327 is divided by 47.
Result: 42
Part A: Calculate the remainder when 124 is divided by 111.
Result: 13
Part A: Calculate the remainder when 1878862 is divided by 626243.
Result: 133
Part A: Calculate the remainder when 1854 is divided ... | english |
numbers: place value
--------------------
What if: What is the thousands digit of 21541039?
Result: 1
What if: What is the millions digit of 6873915?
Result: 6
What if: What is the millions digit of 612065130?
Result: 2
What if: What is the hundred millions digit of 327697175?
Result: 3
What if: What is the ten thousan... | english |
arithmetic: nearest integer root
--------------------------------
Case: What is the square root of 30000 to the nearest integer?
Result: 173
Case: What is 2068215591 to the power of 1/2, to the nearest integer?
Result: 45478
Case: What is 77778 to the power of 1/5, to the nearest integer?
Result: 10
Case: What is the t... | english |
numbers: gcd
------------
Prompt: What is the highest common factor of 14504 and 224?
Key: 56
Prompt: Calculate the highest common factor of 66866 and 38062722.
Key: 998
Prompt: Calculate the greatest common factor of 18 and 15078861.
Key: 9
Prompt: Calculate the highest common factor of 326 and 1141.
Key: 163
Prompt: ... | english |
probability: swr p level set
----------------------------
Math Q: Two letters picked without replacement from {q: 4, x: 8, c: 2, f: 3, i: 1, l: 2}. Give prob of picking 2 x.
Output: 14/95
Math Q: Three letters picked without replacement from {q: 3, w: 1, h: 1, v: 2}. What is prob of picking 2 q and 1 w?
Output: 3/35
Ma... | english |
arithmetic: nearest integer root
--------------------------------
What if: What is the third root of 65989391 to the nearest integer?
Output: 404
What if: What is 246637584 to the power of 1/2, to the nearest integer?
Output: 15705
What if: What is 50176 to the power of 1/4, to the nearest integer?
Output: 15
What if: ... | english |
numbers: is prime
-----------------
Inquiry: Is 8489938427 composite?
Compute: True
Inquiry: Is 455414 prime?
Compute: False
Inquiry: Is 3194999399 a prime number?
Compute: True
Inquiry: Is 97771 a composite number?
Compute: False
Inquiry: Is 55473134221 a prime number?
Compute: False
Inquiry: Is 87553969 a prime numbe... | english |
numbers: is prime
-----------------
Situation: Is 84266985617 a prime number?
Outcome: True
Situation: Is 432711866 composite?
Outcome: True
Situation: Is 831961883 a composite number?
Outcome: True
Situation: Is 12553 prime?
Outcome: True
Situation: Is 12251 composite?
Outcome: False
Situation: Is 6355483 composite?
O... | english |
probability: swr p level set
----------------------------
Scenario: What is prob of picking 4 p when four letters picked without replacement from pppppppppp?
Calculation: 1
Scenario: Calculate prob of picking 2 f and 2 y when four letters picked without replacement from fyyfyfffoyo.
Calculation: 2/11
Scenario: Calculat... | english |
numbers: lcm
------------
Problem Statement: Calculate the common denominator of -93/57200 and -57/490.
Reply: 2802800
Problem Statement: Calculate the lowest common multiple of 177 and 21.
Reply: 1239
Problem Statement: Find the common denominator of -121/4662 and -71/2072.
Reply: 18648
Problem Statement: What is the ... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is the square root of 7547 to the nearest integer?
A.: 87
Example: What is 1370376 to the power of 1/2, to the nearest integer?
A.: 1171
Example: What is the seventh root of 5115575 to the nearest integer?
A.: 9
Example: What is 2595 to the... | english |
probability: swr p level set
----------------------------
Challenge: What is prob of picking 2 k and 1 h when three letters picked without replacement from {r: 6, h: 4, k: 2}?
Workthrough: 1/55
Challenge: Four letters picked without replacement from {l: 1, k: 3, b: 2, z: 1}. Give prob of picking 3 k and 1 b.
Workthroug... | english |
numbers: is factor
------------------
Situation: Is 806748 a multiple of 69?
Result: True
Situation: Does 130 divide 39130?
Result: True
Situation: Is 2 a factor of 89?
Result: False
Situation: Is 858218900 a multiple of 15?
Result: False
Situation: Is 943 a factor of 2045367?
Result: True
Situation: Does 2 divide 740?... | english |
numbers: gcd
------------
Question: What is the greatest common divisor of 18095 and 231?
Key: 77
Question: Calculate the greatest common factor of 99 and 22.
Key: 11
Question: Calculate the greatest common divisor of 363 and 2543541.
Key: 363
Question: What is the highest common divisor of 6766 and 1194?
Key: 398
Ques... | english |
probability: swr p level set
----------------------------
Q): What is prob of picking 1 s and 1 r when two letters picked without replacement from rrrrsrrrrrjrjrrrj?
Response: 13/136
Q): Four letters picked without replacement from xqwwwgggxgqqxw. What is prob of picking 3 q and 1 g?
Response: 4/1001
Q): Two letters pi... | english |
measurement: time
-----------------
Q: How many minutes are there between 8:37 PM and 9:46 PM?
Answer: 69
Q: What is 617 minutes after 10:27 AM?
Answer: 8:44 PM
Q: How many minutes are there between 10:00 PM and 9:43 AM?
Answer: 703
Q: What is 507 minutes before 11:08 PM?
Answer: 2:41 PM
Q: How many minutes are there b... | english |
probability: swr p sequence
---------------------------
Situation: Four letters picked without replacement from aaqhqqaaqtqqhaatht. What is prob of sequence thqt?
Response: 1/680
Situation: What is prob of sequence ll when two letters picked without replacement from nnnnnnnnnnnnnlnlnnln?
Response: 3/190
Situation: Calc... | english |
numbers: place value
--------------------
Query: What is the hundreds digit of 3354808?
Solution: 8
Query: What is the ten thousands digit of 89501?
Solution: 8
Query: What is the tens digit of 30726?
Solution: 2
Query: What is the hundred thousands digit of 9634562?
Solution: 6
Query: What is the tens digit of 1867739... | english |
measurement: time
-----------------
Ask: What is 202 minutes before 8:29 PM?
Eval: 5:07 PM
Ask: How many minutes are there between 11:40 AM and 11:12 PM?
Eval: 692
Ask: How many minutes are there between 10:22 PM and 8:56 AM?
Eval: 634
Ask: What is 341 minutes before 11:43 AM?
Eval: 6:02 AM
Ask: How many minutes are th... | english |
numbers: is factor
------------------
Prompt: Does 44 divide 137060?
Explanation: True
Prompt: Is 8 a factor of 420?
Explanation: False
Prompt: Is 55 a factor of 15565?
Explanation: True
Prompt: Is 45 a factor of 11274?
Explanation: False
Prompt: Does 23 divide 989?
Explanation: True
Prompt: Is 7 a factor of 494054352?... | english |
numbers: div remainder
----------------------
Prompt: What is the remainder when 3581 is divided by 64?
Answer: 61
Prompt: What is the remainder when 3124 is divided by 12?
Answer: 4
Prompt: What is the remainder when 73734 is divided by 121?
Answer: 45
Prompt: Calculate the remainder when 87 is divided by 37.
Answer: ... | english |
numbers: is factor
------------------
Qn: Is 26 a factor of 3293720?
Final Answer: False
Qn: Is 27 a factor of 594?
Final Answer: True
Qn: Is 858 a multiple of 13?
Final Answer: True
Qn: Is 33287741 a multiple of 133?
Final Answer: False
Qn: Is 97674 a multiple of 176?
Final Answer: False
Qn: Is 1682494542 a multiple o... | english |
numbers: place value
--------------------
Situation: What is the hundreds digit of 900227?
Reply: 2
Situation: What is the units digit of 45509?
Reply: 9
Situation: What is the tens digit of 15999?
Reply: 9
Situation: What is the ten millions digit of 186231463?
Reply: 8
Situation: What is the ten thousands digit of 75... | english |
probability: swr p sequence
---------------------------
Test item: What is prob of sequence ddd when three letters picked without replacement from ddd?
Final Answer: 1
Test item: Three letters picked without replacement from {v: 16, m: 4}. What is prob of sequence vmv?
Final Answer: 8/57
Test item: Two letters picked w... | english |
probability: swr p sequence
---------------------------
Exercise: Calculate prob of sequence zgs when three letters picked without replacement from zszjggjgsszgjjgs.
→: 1/56
Exercise: Calculate prob of sequence ozm when three letters picked without replacement from myzzzmo.
→: 1/35
Exercise: Two letters picked without ... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is the square root of 413 to the nearest integer?
Steps: 20
Example: What is the seventh root of 27887507 to the nearest integer?
Steps: 12
Example: What is the cube root of 7998 to the nearest integer?
Steps: 20
Example: What is the square... | english |
numbers: gcd
------------
Situation: Calculate the greatest common divisor of 27 and 10779.
Fix: 3
Situation: Calculate the greatest common factor of 96811 and 12571.
Fix: 13
Situation: What is the greatest common divisor of 15006500 and 10?
Fix: 10
Situation: What is the greatest common divisor of 1260 and 980?
Fix: 1... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is the third root of 186817496 to the nearest integer?
Sol: 572
Prompt: What is 8648694 to the power of 1/2, to the nearest integer?
Sol: 2941
Prompt: What is the square root of 58360667 to the nearest integer?
Sol: 7639
Prompt: What is the ... | english |
measurement: time
-----------------
Given: How many minutes are there between 2:58 PM and 10:36 PM?
Explanation: 458
Given: How many minutes are there between 9:58 AM and 10:08 AM?
Explanation: 10
Given: How many minutes are there between 2:07 PM and 2:13 PM?
Explanation: 6
Given: What is 708 minutes before 11:51 AM?
E... | english |
probability: swr p sequence
---------------------------
Example: Two letters picked without replacement from {m: 3, x: 3, o: 7}. What is prob of sequence mm?
Ans: 1/26
Example: What is prob of sequence ms when two letters picked without replacement from {k: 1, h: 2, m: 5, s: 3, o: 1}?
Ans: 5/44
Example: Calculate prob ... | english |
probability: swr p sequence
---------------------------
Input: Four letters picked without replacement from eesexesxseeeseex. What is prob of sequence sxxe?
Conclusion: 9/1820
Input: Calculate prob of sequence wt when two letters picked without replacement from wtowwwwttowoc.
Conclusion: 3/26
Input: What is prob of seq... | english |
numbers: is factor
------------------
Ask: Does 555 divide 18650775?
Response: True
Ask: Is 11 a factor of 43472?
Response: True
Ask: Does 24 divide 1443144?
Response: True
Ask: Is 9 a factor of 297?
Response: True
Ask: Is 3008 a multiple of 47?
Response: True
Ask: Is 2580 a multiple of 129?
Response: True
Ask: Does 6 ... | english |
numbers: gcd
------------
Situation: What is the greatest common divisor of 2094 and 199279?
Clarification: 349
Situation: Calculate the highest common divisor of 1302 and 86676.
Clarification: 186
Situation: What is the greatest common divisor of 209668 and 39836?
Clarification: 92
Situation: What is the greatest comm... | english |
probability: swr p sequence
---------------------------
Example: Calculate prob of sequence tt when two letters picked without replacement from eeteeeeeeeeexttee.
Workthrough: 3/136
Example: Two letters picked without replacement from jnnjjjjjjjjnjjjjjjjj. Give prob of sequence nn.
Workthrough: 3/190
Example: What is p... | english |
numbers: is prime
-----------------
Prompt: Is 3256621 a prime number?
Result: True
Prompt: Is 3727901699 a composite number?
Result: False
Prompt: Is 2085825527 prime?
Result: True
Prompt: Is 126409 composite?
Result: True
Prompt: Is 158 a composite number?
Result: True
Prompt: Is 326613765557 a prime number?
Result: ... | english |
numbers: place value
--------------------
What if: What is the ten millions digit of 896607438?
Answer: 9
What if: What is the thousands digit of 28501787?
Answer: 1
What if: What is the thousands digit of 2489684?
Answer: 9
What if: What is the units digit of 929?
Answer: 9
What if: What is the ten thousands digit of ... | english |
numbers: is prime
-----------------
Let: Is 3504233 a prime number?
Derivation: False
Let: Is 22109 a prime number?
Derivation: True
Let: Is 4894933 composite?
Derivation: False
Let: Is 152127329 prime?
Derivation: True
Let: Is 6637 a composite number?
Derivation: False
Let: Is 1671809521 a prime number?
Derivation: Tr... | english |
numbers: gcd
------------
Given: Calculate the greatest common divisor of 196 and 19530763.
Conclusion: 49
Given: Calculate the highest common divisor of 235329 and 9318027.
Conclusion: 5007
Given: What is the greatest common divisor of 252 and 54?
Conclusion: 18
Given: What is the greatest common divisor of 1892 and 2... | english |
numbers: is prime
-----------------
Query: Is 2503 composite?
Yields: False
Query: Is 2812767 a composite number?
Yields: True
Query: Is 621983 a composite number?
Yields: False
Query: Is 1071803261 a composite number?
Yields: False
Query: Is 202565309 composite?
Yields: False
Query: Is 2879307667 a prime number?
Yield... | english |
measurement: time
-----------------
Request: How many minutes are there between 7:22 AM and 1:34 PM?
Response: 372
Request: What is 623 minutes after 7:26 PM?
Response: 5:49 AM
Request: How many minutes are there between 5:18 PM and 7:46 PM?
Response: 148
Request: How many minutes are there between 2:59 AM and 10:46 AM... | english |
probability: swr p level set
----------------------------
Q): Calculate prob of picking 1 y and 2 h when three letters picked without replacement from {g: 6, f: 8, y: 1, h: 3}.
Answer: 1/272
Q): Two letters picked without replacement from {l: 3, i: 4, n: 1}. What is prob of picking 2 l?
Answer: 3/28
Q): Calculate prob ... | english |
numbers: place value
--------------------
Issue: What is the hundreds digit of 3270?
Soln: 2
Issue: What is the units digit of 52199?
Soln: 9
Issue: What is the thousands digit of 2142?
Soln: 2
Issue: What is the thousands digit of 7341?
Soln: 7
Issue: What is the thousands digit of 1164?
Soln: 1
Issue: What is the hun... | english |
arithmetic: nearest integer root
--------------------------------
Q=: What is the ninth root of 75633581 to the nearest integer?
Compute: 8
Q=: What is 1781719449 to the power of 1/3, to the nearest integer?
Compute: 1212
Q=: What is the eighth root of 16716772 to the nearest integer?
Compute: 8
Q=: What is 57222119 to... | english |
probability: swr p level set
----------------------------
Query: Calculate prob of picking 3 i when three letters picked without replacement from {y: 4, i: 6}.
Fix: 1/6
Query: Two letters picked without replacement from {i: 13, f: 5}. What is prob of picking 2 i?
Fix: 26/51
Query: Two letters picked without replacement... | english |
probability: swr p level set
----------------------------
Step: What is prob of picking 1 m and 1 t when two letters picked without replacement from {m: 10, t: 4}?
Yields: 40/91
Step: Calculate prob of picking 2 f when two letters picked without replacement from sxmofjofomxxjsxx.
Yields: 1/120
Step: Two letters picked ... | english |
numbers: gcd
------------
Qn: What is the greatest common divisor of 1873583 and 2?
Key: 1
Qn: Calculate the highest common factor of 1025647 and 112.
Key: 7
Qn: Calculate the highest common divisor of 4880460 and 1560.
Key: 780
Qn: Calculate the greatest common factor of 7497 and 190806.
Key: 147
Qn: What is the great... | english |
measurement: conversion
-----------------------
Problem Statement: How many milligrams are there in 0.230341 tonnes?
Eval: 230341000
Problem Statement: How many millilitres are there in one fifth of a litre?
Eval: 200
Problem Statement: What is one twentieth of a litre in millilitres?
Eval: 50
Problem Statement: How ma... | english |
numbers: is factor
------------------
Math Q: Is 51545 a multiple of 9?
Workthrough: False
Math Q: Does 79 divide 621335?
Workthrough: True
Math Q: Is 48641 a multiple of 31?
Workthrough: False
Math Q: Is 6575 a multiple of 15?
Workthrough: False
Math Q: Does 18 divide 80403842?
Workthrough: False
Math Q: Is 721 a fact... | english |
numbers: div remainder
----------------------
Ask: What is the remainder when 286202 is divided by 28620?
Key: 2
Ask: Calculate the remainder when 25648 is divided by 13.
Key: 12
Ask: What is the remainder when 366865 is divided by 30470?
Key: 1225
Ask: What is the remainder when 33542198 is divided by 40?
Key: 38
Ask:... | english |
numbers: is prime
-----------------
Scenario: Is 28723589 composite?
Ans: True
Scenario: Is 10077 a composite number?
Ans: True
Scenario: Is 1107900439 prime?
Ans: False
Scenario: Is 16734077 a composite number?
Ans: True
Scenario: Is 30303534043 a composite number?
Ans: False
Scenario: Is 106531 prime?
Ans: True
Scena... | english |
numbers: gcd
------------
Case: What is the highest common factor of 83607 and 12152?
Soln: 31
Case: Calculate the greatest common divisor of 593664552 and 6804.
Soln: 972
Case: What is the greatest common factor of 1552 and 4528?
Soln: 16
Case: Calculate the highest common factor of 28 and 3383282.
Soln: 14
Case: What... | english |
probability: swr p level set
----------------------------
What if: Three letters picked without replacement from {p: 5, j: 3, b: 1, y: 5, k: 2, x: 4}. Give prob of picking 2 j and 1 b.
Explanation: 1/380
What if: Four letters picked without replacement from ererllererble. What is prob of picking 2 e and 2 r?
Explanatio... | english |
probability: swr p sequence
---------------------------
Example: Calculate prob of sequence uu when two letters picked without replacement from ffffuuufuuuuffff.
A.: 7/40
Example: What is prob of sequence sqee when four letters picked without replacement from eeesqqqeesqqeee?
A.: 2/117
Example: Two letters picked witho... | english |
numbers: is prime
-----------------
Math Problem: Is 5409949 a prime number?
Reply: False
Math Problem: Is 457255862078 composite?
Reply: True
Math Problem: Is 13707034889 a composite number?
Reply: True
Math Problem: Is 1981682 a composite number?
Reply: True
Math Problem: Is 856567 prime?
Reply: True
Math Problem: Is... | english |
numbers: is prime
-----------------
Task: Is 28386367 a composite number?
Therefore: False
Task: Is 2271 a prime number?
Therefore: False
Task: Is 235991 composite?
Therefore: True
Task: Is 2418345439 composite?
Therefore: True
Task: Is 1325309 a prime number?
Therefore: True
Task: Is 2593319471 composite?
Therefore: F... | english |
measurement: time
-----------------
Qn: What is 298 minutes before 5:43 PM?
Key: 12:45 PM
Qn: What is 264 minutes before 11:09 PM?
Key: 6:45 PM
Qn: How many minutes are there between 1:25 AM and 2:57 AM?
Key: 92
Qn: What is 623 minutes after 7:06 PM?
Key: 5:29 AM
Qn: How many minutes are there between 1:01 PM and 5:10 ... | english |
numbers: div remainder
----------------------
Scenario: What is the remainder when 5331 is divided by 86?
Eval: 85
Scenario: What is the remainder when 42 is divided by 39?
Eval: 3
Scenario: What is the remainder when 25821 is divided by 32?
Eval: 29
Scenario: Calculate the remainder when 47064577 is divided by 287.
Ev... | english |
numbers: gcd
------------
Q.: Calculate the highest common factor of 11184855 and 119515.
Conclusion: 2915
Q.: Calculate the highest common divisor of 10693 and 4624.
Conclusion: 289
Q.: What is the greatest common divisor of 259060 and 820?
Conclusion: 20
Q.: Calculate the highest common divisor of 57562 and 379304.
C... | english |
measurement: time
-----------------
Prompt: What is 305 minutes before 1:32 PM?
Steps: 8:27 AM
Prompt: What is 103 minutes before 2:56 AM?
Steps: 1:13 AM
Prompt: What is 394 minutes after 12:58 PM?
Steps: 7:32 PM
Prompt: How many minutes are there between 7:08 AM and 7:50 AM?
Steps: 42
Prompt: How many minutes are ther... | english |
probability: swr p level set
----------------------------
Subquestion: Two letters picked without replacement from ooooooo. Give prob of picking 2 o.
Soln: 1
Subquestion: Two letters picked without replacement from aaaaaaaaiaaaa. What is prob of picking 2 a?
Soln: 11/13
Subquestion: Three letters picked without replace... | english |
numbers: div remainder
----------------------
Inquiry: Calculate the remainder when 1029206 is divided by 1019.
Final Answer: 16
Inquiry: What is the remainder when 2616423 is divided by 5639?
Final Answer: 5566
Inquiry: What is the remainder when 3751767 is divided by 10750?
Final Answer: 17
Inquiry: What is the remai... | english |
numbers: is prime
-----------------
Inquiry: Is 7051123 a composite number?
Clarification: False
Inquiry: Is 403621211 prime?
Clarification: False
Inquiry: Is 111 a composite number?
Clarification: True
Inquiry: Is 593517439 a prime number?
Clarification: True
Inquiry: Is 2241011 composite?
Clarification: False
Inquiry... | english |
arithmetic: nearest integer root
--------------------------------
Subquestion: What is the third root of 4174115 to the nearest integer?
Therefore: 161
Subquestion: What is 178872926 to the power of 1/2, to the nearest integer?
Therefore: 13374
Subquestion: What is 1208660 to the power of 1/3, to the nearest integer?
T... | english |
numbers: is prime
-----------------
Q: Is 35719 composite?
Explanation: True
Q: Is 30773 composite?
Explanation: False
Q: Is 80826690653 a composite number?
Explanation: False
Q: Is 1253 a composite number?
Explanation: True
Q: Is 18613882853 a composite number?
Explanation: True
Q: Is 7998035567 a composite number?
Ex... | english |
numbers: is prime
-----------------
Problem Statement: Is 9151 a prime number?
Sol: True
Problem Statement: Is 54301 composite?
Sol: True
Problem Statement: Is 58022801 composite?
Sol: False
Problem Statement: Is 194809 a composite number?
Sol: False
Problem Statement: Is 35785977407 composite?
Sol: False
Problem State... | english |
numbers: is prime
-----------------
Puzzle: Is 27043 prime?
Therefore: True
Puzzle: Is 2013708849 composite?
Therefore: True
Puzzle: Is 1276121941 composite?
Therefore: False
Puzzle: Is 13901 composite?
Therefore: False
Puzzle: Is 2819072197 a prime number?
Therefore: False
Puzzle: Is 33502959119 composite?
Therefore: ... | english |
arithmetic: nearest integer root
--------------------------------
Task: What is the fifth root of 281646 to the nearest integer?
Sol: 12
Task: What is the cube root of 847192 to the nearest integer?
Sol: 95
Task: What is the third root of 290056 to the nearest integer?
Sol: 66
Task: What is 1592 to the power of 1/2, to... | english |
numbers: is prime
-----------------
Conundrum: Is 22805174209 composite?
Derivation: True
Conundrum: Is 25793 a prime number?
Derivation: True
Conundrum: Is 1023887 a composite number?
Derivation: True
Conundrum: Is 6229 a composite number?
Derivation: False
Conundrum: Is 264871 a composite number?
Derivation: False
Co... | english |
probability: swr p level set
----------------------------
Question: Three letters picked without replacement from dittltiidlllddldl. Give prob of picking 3 d.
Result: 1/68
Question: Two letters picked without replacement from {r: 2, e: 2, w: 1, u: 1}. Give prob of picking 1 e and 1 u.
Result: 2/15
Question: Two letters... | english |
numbers: gcd
------------
Subquestion: What is the greatest common divisor of 10744 and 2902223?
Response: 1343
Subquestion: Calculate the greatest common factor of 3737520 and 696.
Response: 696
Subquestion: Calculate the highest common factor of 36 and 9.
Response: 9
Subquestion: Calculate the highest common divisor ... | english |
numbers: place value
--------------------
Q-: What is the thousands digit of 118744?
Result: 8
Q-: What is the units digit of 5492?
Result: 2
Q-: What is the tens digit of 623?
Result: 2
Q-: What is the ten thousands digit of 536310?
Result: 3
Q-: What is the ten thousands digit of 4136847?
Result: 3
Q-: What is the te... | english |
numbers: is factor
------------------
Challenge: Is 954746822 a multiple of 6658?
Derivation: False
Challenge: Does 52 divide 65780?
Derivation: True
Challenge: Is 19782 a multiple of 18?
Derivation: True
Challenge: Is 5668 a multiple of 5?
Derivation: False
Challenge: Is 266 a factor of 594244?
Derivation: True
Challe... | english |
numbers: is factor
------------------
Question: Is 4095 a multiple of 56?
Result: False
Question: Does 65 divide 19240?
Result: True
Question: Is 2 a factor of 2108?
Result: True
Question: Does 21 divide 92672937?
Result: True
Question: Is 1181609 a multiple of 48?
Result: False
Question: Is 91 a factor of 141414?
Resu... | english |
probability: swr p sequence
---------------------------
Puzzle: Four letters picked without replacement from {t: 7, h: 2, l: 9}. What is prob of sequence tlhh?
Yields: 7/4080
Puzzle: What is prob of sequence mb when two letters picked without replacement from {w: 2, b: 6, p: 4, m: 6}?
Yields: 2/17
Puzzle: Three letters... | english |
numbers: place value
--------------------
Problem #: What is the units digit of 9334?
= : 4
Problem #: What is the thousands digit of 687288228?
= : 8
Problem #: What is the millions digit of 336363730?
= : 6
Problem #: What is the hundreds digit of 506851?
= : 8
Problem #: What is the hundred thousands digit of 744978... | english |
probability: swr p sequence
---------------------------
Query: Calculate prob of sequence xu when two letters picked without replacement from xxuxu.
Math A: 3/10
Query: Calculate prob of sequence sy when two letters picked without replacement from {y: 14, s: 1}.
Math A: 1/15
Query: Two letters picked without replacemen... | english |
numbers: is prime
-----------------
Qn: Is 264266239 a composite number?
Outcome: False
Qn: Is 9084510959 a prime number?
Outcome: True
Qn: Is 19030421 composite?
Outcome: True
Qn: Is 20021 composite?
Outcome: False
Qn: Is 35417 prime?
Outcome: False
Qn: Is 14331587291 a composite number?
Outcome: True
Qn: Is 66407 a c... | english |
measurement: conversion
-----------------------
Example: How many kilograms are there in 13357.5g?
Result: 13.3575
Example: What is 29/3 of a week in hours?
Result: 1624
Example: Convert 4.976523cm to millimeters.
Result: 49.76523
Example: What is 3/5 of a litre in millilitres?
Result: 600
Example: What is 1.4823894us ... | english |
numbers: gcd
------------
Qn: What is the highest common divisor of 4 and 22?
Math A: 2
Qn: Calculate the highest common divisor of 297640503 and 7586.
Math A: 3793
Qn: What is the greatest common factor of 1168 and 73?
Math A: 73
Qn: Calculate the highest common factor of 36 and 105235932.
Math A: 12
Qn: Calculate the... | english |
measurement: time
-----------------
Given: How many minutes are there between 11:12 PM and 4:30 AM?
Calculation: 318
Given: What is 41 minutes before 7:01 PM?
Calculation: 6:20 PM
Given: What is 660 minutes after 10:34 AM?
Calculation: 9:34 PM
Given: How many minutes are there between 12:46 AM and 4:58 AM?
Calculation:... | english |
numbers: gcd
------------
Q: Calculate the highest common factor of 220781854 and 2986.
Ans: 2986
Q: Calculate the highest common divisor of 1498854 and 28.
Ans: 14
Q: Calculate the highest common factor of 432453 and 21.
Ans: 21
Q: Calculate the greatest common divisor of 306 and 36.
Ans: 18
Q: Calculate the greatest ... | english |
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