text stringlengths 256 2k | language stringclasses 2
values |
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numbers: is factor
------------------
Given: Is 10885716 a multiple of 1198?
Explanation: False
Given: Is 92242513 a multiple of 127?
Explanation: True
Given: Does 39 divide 28675?
Explanation: False
Given: Is 23 a factor of 389321?
Explanation: True
Given: Is 24 a factor of 1127?
Explanation: False
Given: Is 78 a fact... | english |
numbers: lcm
------------
Question: What is the common denominator of -103/105 and 137/3402?
Resolution: 17010
Question: What is the common denominator of -49/648 and -67/144?
Resolution: 1296
Question: Calculate the lowest common multiple of 156015 and 44901117.
Resolution: 224505585
Question: What is the smallest com... | english |
probability: swr p level set
----------------------------
Let: What is prob of picking 1 u and 1 n when two letters picked without replacement from {d: 3, n: 2, u: 3, z: 5}?
Eval: 1/13
Let: Two letters picked without replacement from {m: 1, j: 2, a: 5, o: 1, f: 5, h: 2}. Give prob of picking 1 h and 1 o.
Eval: 1/60
Let... | english |
measurement: conversion
-----------------------
Problem Statement: What is 7/3 of a minute in seconds?
= : 140
Problem Statement: How many millimeters are there in 3/5 of a centimeter?
= : 6
Problem Statement: How many days are there in 3.773628s?
= : 0.00004367625
Problem Statement: What is thirteen quarters of a litr... | english |
probability: swr p sequence
---------------------------
Query: Two letters picked without replacement from {b: 4, u: 2, j: 8, s: 2}. Give prob of sequence ju.
Compute: 1/15
Query: Three letters picked without replacement from pqppppppppq. What is prob of sequence qpq?
Compute: 1/55
Query: Two letters picked without rep... | english |
measurement: time
-----------------
Topic: How many minutes are there between 11:12 PM and 12:48 AM?
Derivation: 96
Topic: What is 702 minutes after 3:01 AM?
Derivation: 2:43 PM
Topic: How many minutes are there between 9:03 AM and 4:22 PM?
Derivation: 439
Topic: How many minutes are there between 3:11 PM and 2:32 AM?
... | english |
probability: swr p level set
----------------------------
Q.: Two letters picked without replacement from gnnngnnnnnnnggnnngg. What is prob of picking 1 n and 1 g?
Key: 26/57
Q.: Four letters picked without replacement from {g: 1, q: 5, y: 4, l: 3, e: 1}. What is prob of picking 2 q, 1 e, and 1 l?
Key: 30/1001
Q.: Four... | english |
numbers: is prime
-----------------
Problem: Is 5260799 a composite number?
Sol: False
Problem: Is 7961 prime?
Sol: False
Problem: Is 9360481313 a composite number?
Sol: True
Problem: Is 787 a prime number?
Sol: True
Problem: Is 34671797 prime?
Sol: False
Problem: Is 2626891 prime?
Sol: False
Problem: Is 3479341 a prim... | english |
numbers: lcm
------------
Request: What is the lowest common multiple of 29412 and 304?
Clarification: 117648
Request: Calculate the lowest common multiple of 18 and 1820.
Clarification: 16380
Request: Calculate the lowest common multiple of 448 and 6551986.
Clarification: 209663552
Request: What is the least common mu... | english |
measurement: conversion
-----------------------
Subject: What is three sixteenths of a kilometer in centimeters?
Ans: 18750
Subject: What is eleven quarters of a litre in millilitres?
Ans: 2750
Subject: How many nanograms are there in 62.17602 tonnes?
Ans: 62176020000000000
Subject: How many minutes are there in 2/63 o... | english |
probability: swr p sequence
---------------------------
Subject: Four letters picked without replacement from {h: 2, g: 2, t: 4}. What is prob of sequence tghg?
Derivation: 1/105
Subject: Calculate prob of sequence qen when three letters picked without replacement from neaeqn.
Derivation: 1/30
Subject: Three letters pi... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is 39093 to the power of 1/2, to the nearest integer?
Clarification: 198
Ask: What is 18763 to the power of 1/2, to the nearest integer?
Clarification: 137
Ask: What is the square root of 1876634239 to the nearest integer?
Clarification: 43320
... | english |
numbers: place value
--------------------
Scenario: What is the ten thousands digit of 2030754?
= : 3
Scenario: What is the units digit of 148850608?
= : 8
Scenario: What is the hundreds digit of 132?
= : 1
Scenario: What is the hundreds digit of 140369?
= : 3
Scenario: What is the tens digit of 787033760?
= : 6
Scenar... | english |
numbers: place value
--------------------
Given: What is the hundreds digit of 325342?
Sol: 3
Given: What is the billions digit of 1853336059?
Sol: 1
Given: What is the tens digit of 988?
Sol: 8
Given: What is the thousands digit of 52736?
Sol: 2
Given: What is the hundred thousands digit of 105532324?
Sol: 5
Given: Wh... | english |
numbers: div remainder
----------------------
Qn: Calculate the remainder when 4111434 is divided by 4111433.
= : 1
Qn: Calculate the remainder when 942278 is divided by 3625.
= : 3403
Qn: What is the remainder when 837894 is divided by 15?
= : 9
Qn: Calculate the remainder when 2201 is divided by 9.
= : 5
Qn: Calculat... | english |
arithmetic: nearest integer root
--------------------------------
Item: What is the ninth root of 453 to the nearest integer?
Soln: 2
Item: What is the square root of 4044 to the nearest integer?
Soln: 64
Item: What is 1733535412 to the power of 1/3, to the nearest integer?
Soln: 1201
Item: What is the ninth root of 11... | english |
arithmetic: nearest integer root
--------------------------------
Situation: What is 137151 to the power of 1/9, to the nearest integer?
Calculation: 4
Situation: What is the sixth root of 1392859 to the nearest integer?
Calculation: 11
Situation: What is 3562893 to the power of 1/7, to the nearest integer?
Calculation... | english |
measurement: time
-----------------
Item: How many minutes are there between 12:36 AM and 2:07 AM?
Thus: 91
Item: How many minutes are there between 11:56 AM and 7:08 PM?
Thus: 432
Item: What is 547 minutes after 3:30 AM?
Thus: 12:37 PM
Item: What is 448 minutes after 2:16 PM?
Thus: 9:44 PM
Item: How many minutes are t... | english |
measurement: conversion
-----------------------
Topic: Convert 0.3019301 tonnes to kilograms.
Output: 301.9301
Topic: What is 3153.88ml in litres?
Output: 3.15388
Topic: Convert 0.3872589m to nanometers.
Output: 387258900
Topic: What is 27.99128 decades in millennia?
Output: 0.2799128
Topic: How many years are there in... | english |
measurement: time
-----------------
Let us solve: How many minutes are there between 6:07 PM and 8:08 PM?
Response: 121
Let us solve: How many minutes are there between 12:20 PM and 5:30 PM?
Response: 310
Let us solve: How many minutes are there between 7:54 PM and 2:50 AM?
Response: 416
Let us solve: What is 625 minut... | english |
numbers: is prime
-----------------
Subquestion: Is 43201 a prime number?
A: True
Subquestion: Is 672768809 a prime number?
A: False
Subquestion: Is 261261113 composite?
A: True
Subquestion: Is 541 a composite number?
A: False
Subquestion: Is 1687187 prime?
A: True
Subquestion: Is 808679 composite?
A: False
Subquestion... | english |
numbers: is prime
-----------------
Example: Is 12676901 composite?
Final Answer: False
Example: Is 3907 prime?
Final Answer: True
Example: Is 45686451 prime?
Final Answer: False
Example: Is 142094735539 a prime number?
Final Answer: False
Example: Is 10679 prime?
Final Answer: False
Example: Is 195059243 prime?
Final ... | english |
numbers: place value
--------------------
Request: What is the hundreds digit of 669797094?
Interpretation: 0
Request: What is the units digit of 2771240?
Interpretation: 0
Request: What is the ten thousands digit of 2069364?
Interpretation: 6
Request: What is the hundred thousands digit of 575371?
Interpretation: 5
Re... | english |
numbers: is prime
-----------------
Task: Is 59383933093 a prime number?
Calculation: True
Task: Is 557 prime?
Calculation: True
Task: Is 113928209 composite?
Calculation: False
Task: Is 6596671 a prime number?
Calculation: False
Task: Is 2663327 composite?
Calculation: True
Task: Is 326737 a composite number?
Calculat... | english |
numbers: div remainder
----------------------
Puzzle: Calculate the remainder when 1926 is divided by 383.
Clarification: 11
Puzzle: What is the remainder when 7863 is divided by 63?
Clarification: 51
Puzzle: Calculate the remainder when 557 is divided by 93.
Clarification: 92
Puzzle: Calculate the remainder when 1738 ... | english |
arithmetic: nearest integer root
--------------------------------
Problem #: What is the cube root of 34434144 to the nearest integer?
Yields: 325
Problem #: What is 1376657717 to the power of 1/2, to the nearest integer?
Yields: 37103
Problem #: What is 169699 to the power of 1/7, to the nearest integer?
Yields: 6
Pro... | english |
numbers: place value
--------------------
Test item: What is the hundred millions digit of 286365845?
→: 2
Test item: What is the thousands digit of 131986?
→: 1
Test item: What is the thousands digit of 415691302?
→: 1
Test item: What is the tens digit of 150110?
→: 1
Test item: What is the hundreds digit of 297558201... | english |
measurement: conversion
-----------------------
Example: How many millennia are there in 38.9936 decades?
Interpretation: 0.389936
Example: How many millilitres are there in 1.084744 litres?
Interpretation: 1084.744
Example: How many days are there in 43031.493 microseconds?
Interpretation: 0.0000004980496875
Example: ... | english |
numbers: div remainder
----------------------
Math Q: Calculate the remainder when 3065630 is divided by 829.
Finding: 817
Math Q: What is the remainder when 21619 is divided by 10?
Finding: 9
Math Q: Calculate the remainder when 211 is divided by 49.
Finding: 15
Math Q: Calculate the remainder when 588 is divided by 5... | english |
probability: swr p level set
----------------------------
Example: Two letters picked without replacement from {y: 7, j: 8, h: 5}. Give prob of picking 1 y and 1 j.
Interpretation: 28/95
Example: What is prob of picking 1 m and 1 p when two letters picked without replacement from mppppeppppp?
Interpretation: 9/55
Examp... | english |
numbers: gcd
------------
Q-: What is the greatest common factor of 155 and 1771495?
Soln: 155
Q-: Calculate the highest common divisor of 61748 and 3231.
Soln: 359
Q-: What is the highest common factor of 117698 and 448?
Soln: 14
Q-: What is the greatest common divisor of 147 and 21?
Soln: 21
Q-: Calculate the highest... | english |
probability: swr p level set
----------------------------
Subquestion: Calculate prob of picking 3 l and 1 b when four letters picked without replacement from bblbbbbbbll.
Sol: 4/165
Subquestion: Four letters picked without replacement from rxrlrexreczrrxzrre. Give prob of picking 1 x, 1 z, and 2 e.
Sol: 1/170
Subquest... | english |
measurement: time
-----------------
Qn: What is 38 minutes after 5:54 PM?
Solution: 6:32 PM
Qn: How many minutes are there between 8:57 PM and 6:56 AM?
Solution: 599
Qn: What is 167 minutes before 1:05 AM?
Solution: 10:18 PM
Qn: What is 398 minutes after 4:26 AM?
Solution: 11:04 AM
Qn: How many minutes are there betwee... | english |
probability: swr p sequence
---------------------------
Q: Calculate prob of sequence vg when two letters picked without replacement from {l: 1, g: 4, a: 9, v: 1}.
Yields: 2/105
Q: What is prob of sequence ncn when three letters picked without replacement from ccccncccccccccccccn?
Yields: 1/171
Q: Three letters picked ... | english |
measurement: conversion
-----------------------
Challenge: How many centimeters are there in sixty-one halves of a meter?
Response: 3050
Challenge: Convert 24675.9mg to tonnes.
Response: 0.0000246759
Challenge: How many millilitres are there in 3/8 of a litre?
Response: 375
Challenge: What is 15/4 of a year in months?
... | english |
measurement: time
-----------------
Qn: What is 504 minutes before 11:39 AM?
Resolution: 3:15 AM
Qn: What is 251 minutes after 3:02 AM?
Resolution: 7:13 AM
Qn: What is 573 minutes after 12:18 AM?
Resolution: 9:51 AM
Qn: How many minutes are there between 8:47 AM and 4:35 PM?
Resolution: 468
Qn: What is 62 minutes after... | english |
measurement: conversion
-----------------------
Test item: Convert 0.8459524ug to grams.
Reply: 0.0000008459524
Test item: How many centimeters are there in twenty-five quarters of a meter?
Reply: 625
Test item: What is 12/25 of a litre in millilitres?
Reply: 480
Test item: How many meters are there in 3/50 of a kilome... | english |
measurement: time
-----------------
Input: What is 342 minutes before 12:48 AM?
Soln: 7:06 PM
Input: What is 320 minutes after 4:34 PM?
Soln: 9:54 PM
Input: How many minutes are there between 6:39 PM and 9:54 PM?
Soln: 195
Input: How many minutes are there between 12:14 AM and 6:27 AM?
Soln: 373
Input: How many minutes... | english |
arithmetic: nearest integer root
--------------------------------
Q: What is the fourth root of 882 to the nearest integer?
Key: 5
Q: What is 5036 to the power of 1/10, to the nearest integer?
Key: 2
Q: What is the fourth root of 924 to the nearest integer?
Key: 6
Q: What is the eighth root of 3146818 to the nearest in... | english |
numbers: gcd
------------
Subject: What is the highest common divisor of 1956 and 78?
Answer: 6
Subject: Calculate the greatest common factor of 196 and 16.
Answer: 4
Subject: Calculate the greatest common factor of 827355 and 285.
Answer: 285
Subject: What is the highest common factor of 163900230 and 390?
Answer: 390... | english |
probability: swr p level set
----------------------------
Item: Two letters picked without replacement from wwdw. What is prob of picking 2 w?
Response: 1/2
Item: Two letters picked without replacement from njjjnjnjnnjjn. Give prob of picking 2 n.
Response: 5/26
Item: Three letters picked without replacement from ppppp... | english |
arithmetic: nearest integer root
--------------------------------
Puzzle: What is 235757128 to the power of 1/9, to the nearest integer?
Finding: 9
Puzzle: What is 4251 to the power of 1/3, to the nearest integer?
Finding: 16
Puzzle: What is the square root of 3209928 to the nearest integer?
Finding: 1792
Puzzle: What ... | english |
probability: swr p sequence
---------------------------
Statement: Two letters picked without replacement from {z: 7, v: 9, f: 2, p: 1}. What is prob of sequence fz?
Answer: 7/171
Statement: Three letters picked without replacement from {x: 3, w: 2, u: 6, n: 4}. What is prob of sequence unx?
Answer: 12/455
Statement: F... | english |
numbers: gcd
------------
Inquiry: Calculate the greatest common divisor of 10990 and 14.
Reply: 14
Inquiry: Calculate the highest common divisor of 790 and 617385.
Reply: 395
Inquiry: Calculate the greatest common factor of 9720643 and 3231.
Reply: 359
Inquiry: What is the greatest common factor of 399 and 1729?
Reply... | english |
probability: swr p sequence
---------------------------
Exercise: Two letters picked without replacement from {s: 6, x: 3, t: 2, a: 1}. What is prob of sequence at?
Fix: 1/66
Exercise: Two letters picked without replacement from rtrttttttrt. What is prob of sequence rr?
Fix: 3/55
Exercise: Calculate prob of sequence ag... | english |
numbers: is prime
-----------------
Query: Is 6982248187 prime?
Gives: False
Query: Is 18199 a composite number?
Gives: False
Query: Is 9004733 prime?
Gives: False
Query: Is 1337 composite?
Gives: True
Query: Is 4441 a composite number?
Gives: False
Query: Is 27273 a composite number?
Gives: True
Query: Is 243920582 a ... | english |
numbers: place value
--------------------
Inquiry: What is the hundreds digit of 1541?
Thus: 5
Inquiry: What is the tens digit of 759?
Thus: 5
Inquiry: What is the ten thousands digit of 201637?
Thus: 0
Inquiry: What is the millions digit of 127724279?
Thus: 7
Inquiry: What is the millions digit of 1641712?
Thus: 1
Inq... | english |
arithmetic: nearest integer root
--------------------------------
Q.: What is the square root of 58761048 to the nearest integer?
A.: 7666
Q.: What is 996703 to the power of 1/2, to the nearest integer?
A.: 998
Q.: What is 358623 to the power of 1/6, to the nearest integer?
A.: 8
Q.: What is 517158301 to the power of 1... | english |
measurement: time
-----------------
Subject: How many minutes are there between 8:31 AM and 3:30 PM?
Soln: 419
Subject: How many minutes are there between 2:03 PM and 3:45 PM?
Soln: 102
Subject: What is 250 minutes after 4:10 PM?
Soln: 8:20 PM
Subject: How many minutes are there between 11:21 AM and 10:37 PM?
Soln: 676... | english |
numbers: lcm
------------
Situation: What is the common denominator of 39/865 and -49/4?
Steps: 3460
Situation: What is the smallest common multiple of 123918 and 15?
Steps: 619590
Situation: What is the smallest common multiple of 30750 and 106750?
Steps: 13130250
Situation: What is the lowest common multiple of 22527... | english |
probability: swr p level set
----------------------------
Q): Two letters picked without replacement from ccccbccccccccccccccc. What is prob of picking 2 c?
Therefore: 9/10
Q): Two letters picked without replacement from {q: 4, d: 2, h: 2}. Give prob of picking 2 h.
Therefore: 1/28
Q): What is prob of picking 1 c and 2... | english |
measurement: time
-----------------
Input: How many minutes are there between 11:23 PM and 8:30 AM?
Calculation: 547
Input: What is 596 minutes after 9:47 AM?
Calculation: 7:43 PM
Input: What is 35 minutes before 8:29 PM?
Calculation: 7:54 PM
Input: What is 136 minutes after 8:29 AM?
Calculation: 10:45 AM
Input: How ma... | english |
measurement: conversion
-----------------------
Let us solve: How many millilitres are there in 82288.96 litres?
Result: 82288960
Let us solve: What is 1714.648 millilitres in litres?
Result: 1.714648
Let us solve: Convert 57931.81 centuries to decades.
Result: 579318.1
Let us solve: What is 66.96578 decades in centuri... | english |
numbers: is factor
------------------
Task: Does 19 divide 133888353?
Derivation: False
Task: Is 97 a factor of 35455?
Derivation: False
Task: Is 43 a factor of 828?
Derivation: False
Task: Is 323 a multiple of 87?
Derivation: False
Task: Is 7 a factor of 7213976?
Derivation: True
Task: Does 714 divide 993563130?
Deriv... | english |
numbers: gcd
------------
What if: What is the greatest common factor of 147941 and 15475?
Sol: 619
What if: What is the greatest common divisor of 35 and 309505?
Sol: 35
What if: Calculate the greatest common divisor of 74384 and 2384.
Sol: 16
What if: What is the greatest common divisor of 1094 and 22427?
Sol: 547
Wh... | english |
probability: swr p sequence
---------------------------
Query: Three letters picked without replacement from {t: 1, w: 1, u: 3, i: 2, s: 4}. What is prob of sequence isw?
Result: 4/495
Query: Calculate prob of sequence wi when two letters picked without replacement from iiiiiiiiiwiiiii.
Result: 1/15
Query: Two letters ... | english |
numbers: is prime
-----------------
Q: Is 123479 composite?
Clarification: False
Q: Is 134901799 prime?
Clarification: True
Q: Is 331854113931 a prime number?
Clarification: False
Q: Is 4003891277 prime?
Clarification: True
Q: Is 477854933 prime?
Clarification: False
Q: Is 2845093 a composite number?
Clarification: Tru... | english |
probability: swr p sequence
---------------------------
Query: Calculate prob of sequence ratu when four letters picked without replacement from aaaarmrtu.
Key: 1/378
Query: What is prob of sequence xy when two letters picked without replacement from oyyyyoxoyyoyoyyv?
Key: 3/80
Query: What is prob of sequence ccm when ... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is the eighth root of 125057 to the nearest integer?
Compute: 4
Ask: What is 2057510 to the power of 1/3, to the nearest integer?
Compute: 127
Ask: What is 5993 to the power of 1/2, to the nearest integer?
Compute: 77
Ask: What is 13449357 to t... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is the square root of 1283206 to the nearest integer?
Reply: 1133
Prompt: What is 2907296 to the power of 1/5, to the nearest integer?
Reply: 20
Prompt: What is the square root of 179564 to the nearest integer?
Reply: 424
Prompt: What is the... | english |
probability: swr p sequence
---------------------------
Request: What is prob of sequence yi when two letters picked without replacement from {i: 5, y: 5, a: 2, c: 7}?
Solution: 25/342
Request: Calculate prob of sequence ht when two letters picked without replacement from {t: 1, o: 1, h: 1}.
Solution: 1/6
Request: Thre... | english |
probability: swr p level set
----------------------------
Problem #: Two letters picked without replacement from {i: 3, k: 1}. What is prob of picking 2 i?
A: 1/2
Problem #: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {r: 4, w: 1, m: 1, o: 4, a: 6}.
A: 2/15
Problem #: What is ... | english |
numbers: div remainder
----------------------
Challenge: What is the remainder when 129036 is divided by 63579?
Compute: 1878
Challenge: Calculate the remainder when 264187 is divided by 629.
Compute: 7
Challenge: What is the remainder when 159 is divided by 24?
Compute: 15
Challenge: Calculate the remainder when 30389... | english |
arithmetic: nearest integer root
--------------------------------
Math Q: What is 35571 to the power of 1/9, to the nearest integer?
Calculation: 3
Math Q: What is 1589393812 to the power of 1/8, to the nearest integer?
Calculation: 14
Math Q: What is the square root of 523 to the nearest integer?
Calculation: 23
Math ... | english |
measurement: time
-----------------
Inquiry: What is 102 minutes after 2:49 AM?
Thus: 4:31 AM
Inquiry: What is 576 minutes after 4:19 AM?
Thus: 1:55 PM
Inquiry: What is 520 minutes before 7:34 PM?
Thus: 10:54 AM
Inquiry: What is 374 minutes before 4:55 PM?
Thus: 10:41 AM
Inquiry: How many minutes are there between 9:56... | english |
measurement: time
-----------------
Problem: How many minutes are there between 3:39 AM and 12:04 PM?
Outcome: 505
Problem: How many minutes are there between 8:25 AM and 8:08 PM?
Outcome: 703
Problem: How many minutes are there between 7:36 AM and 1:47 PM?
Outcome: 371
Problem: How many minutes are there between 5:14 ... | english |
numbers: div remainder
----------------------
Q: What is the remainder when 373866 is divided by 95?
= : 41
Q: Calculate the remainder when 721919 is divided by 235.
= : 234
Q: What is the remainder when 30 is divided by 20?
= : 10
Q: What is the remainder when 5308 is divided by 312?
= : 4
Q: What is the remainder whe... | english |
probability: swr p sequence
---------------------------
Math Problem: Three letters picked without replacement from qmmmmmmqmm. Give prob of sequence mmm.
Eval: 7/15
Math Problem: Calculate prob of sequence me when two letters picked without replacement from meeei.
Eval: 3/20
Math Problem: Calculate prob of sequence pz... | english |
measurement: conversion
-----------------------
Request: What is 8.443163 millilitres in litres?
Compute: 0.008443163
Request: How many nanometers are there in 97511.31 kilometers?
Compute: 97511310000000000
Request: How many millimeters are there in 3/40 of a meter?
Compute: 75
Request: Convert 761.1897km to meters.
C... | english |
arithmetic: nearest integer root
--------------------------------
What if: What is 4900666 to the power of 1/4, to the nearest integer?
Solution: 47
What if: What is 1608306 to the power of 1/3, to the nearest integer?
Solution: 117
What if: What is the square root of 17582442 to the nearest integer?
Solution: 4193
Wha... | english |
numbers: place value
--------------------
Math Q: What is the units digit of 36780454?
Therefore: 4
Math Q: What is the units digit of 116?
Therefore: 6
Math Q: What is the tens digit of 996?
Therefore: 9
Math Q: What is the units digit of 4769635?
Therefore: 5
Math Q: What is the ten thousands digit of 161524281?
Ther... | english |
numbers: gcd
------------
Q: Calculate the greatest common factor of 786 and 66.
Response: 6
Q: Calculate the highest common factor of 3700 and 50.
Response: 50
Q: What is the highest common divisor of 7278 and 282?
Response: 6
Q: Calculate the highest common factor of 154003788 and 7236.
Response: 7236
Q: Calculate th... | english |
probability: swr p sequence
---------------------------
Q=: Four letters picked without replacement from zxxxxzzwzzzwzwpxppw. Give prob of sequence xxwz.
Result: 35/5814
Q=: What is prob of sequence ltll when four letters picked without replacement from {l: 19, t: 1}?
Result: 1/20
Q=: What is prob of sequence cc when t... | english |
measurement: time
-----------------
Query: How many minutes are there between 2:26 PM and 2:30 PM?
Therefore: 4
Query: What is 207 minutes before 9:17 PM?
Therefore: 5:50 PM
Query: What is 703 minutes before 11:32 AM?
Therefore: 11:49 PM
Query: How many minutes are there between 2:19 AM and 5:46 AM?
Therefore: 207
Quer... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is the cube root of 9747 to the nearest integer?
Sol: 21
Exercise: What is 94675496 to the power of 1/2, to the nearest integer?
Sol: 9730
Exercise: What is 498 to the power of 1/3, to the nearest integer?
Sol: 8
Exercise: What is 66163 to... | english |
probability: swr p sequence
---------------------------
Let us solve: What is prob of sequence waan when four letters picked without replacement from awwalmlwnanmawmnlwlw?
Output: 3/1615
Let us solve: Two letters picked without replacement from {j: 2, n: 2, w: 6, y: 2}. Give prob of sequence nw.
Output: 1/11
Let us sol... | english |
numbers: is factor
------------------
Exercise: Does 146 divide 116492?
Result: False
Exercise: Is 64560 a multiple of 60?
Result: True
Exercise: Does 77 divide 83468?
Result: True
Exercise: Is 36 a factor of 3960?
Result: True
Exercise: Is 8 a factor of 6684293?
Result: False
Exercise: Is 104504880 a multiple of 15?
R... | english |
probability: swr p sequence
---------------------------
Puzzle: Calculate prob of sequence ho when two letters picked without replacement from {h: 5, t: 4, o: 1}.
Soln: 1/18
Puzzle: Three letters picked without replacement from xuouu. Give prob of sequence uox.
Soln: 1/20
Puzzle: What is prob of sequence zb when two le... | english |
measurement: conversion
-----------------------
Task: What is 7/4 of a milligram in micrograms?
Calculation: 1750
Task: What is 8.363146ml in litres?
Calculation: 0.008363146
Task: What is 33/5 of a millisecond in microseconds?
Calculation: 6600
Task: What is thirty-one halves of a litre in millilitres?
Calculation: 15... | english |
measurement: time
-----------------
Input: How many minutes are there between 4:05 PM and 12:55 AM?
Calculation: 530
Input: What is 564 minutes after 2:47 PM?
Calculation: 12:11 AM
Input: What is 344 minutes after 8:20 AM?
Calculation: 2:04 PM
Input: How many minutes are there between 3:54 PM and 2:01 AM?
Calculation: ... | english |
numbers: gcd
------------
Part A: Calculate the highest common divisor of 3190081239 and 73.
= : 73
Part A: Calculate the highest common divisor of 3498 and 1650.
= : 66
Part A: Calculate the highest common factor of 980 and 20.
= : 20
Part A: What is the greatest common factor of 525432 and 312?
= : 24
Part A: Calcula... | english |
measurement: conversion
-----------------------
Q/A: What is 42/5 of a microgram in nanograms?
Result: 8400
Q/A: What is 72150.67 millennia in centuries?
Result: 721506.7
Q/A: What is 3/5 of a minute in milliseconds?
Result: 36000
Q/A: How many months are there in 4.534974 years?
Result: 54.419688
Q/A: Convert 83495.4m... | english |
measurement: time
-----------------
Ask: How many minutes are there between 4:50 PM and 1:40 AM?
Resolution: 530
Ask: How many minutes are there between 9:38 PM and 3:49 AM?
Resolution: 371
Ask: What is 597 minutes before 1:09 PM?
Resolution: 3:12 AM
Ask: What is 341 minutes after 1:14 AM?
Resolution: 6:55 AM
Ask: How ... | english |
numbers: place value
--------------------
Qn: What is the hundreds digit of 243865231?
Yields: 2
Qn: What is the tens digit of 2209?
Yields: 0
Qn: What is the units digit of 1472?
Yields: 2
Qn: What is the hundred thousands digit of 1189261798?
Yields: 2
Qn: What is the millions digit of 13863411?
Yields: 3
Qn: What is... | english |
numbers: is prime
-----------------
Challenge: Is 4387023755 composite?
Key: True
Challenge: Is 5296154047 prime?
Key: False
Challenge: Is 4618567 a composite number?
Key: False
Challenge: Is 19482207 a prime number?
Key: False
Challenge: Is 538429 composite?
Key: True
Challenge: Is 10726271 a composite number?
Key: Tr... | english |
numbers: is factor
------------------
Conundrum: Is 1947 a factor of 98351504?
Eval: False
Conundrum: Is 331 a factor of 19269822?
Eval: False
Conundrum: Does 2 divide 91?
Eval: False
Conundrum: Is 312974 a multiple of 33?
Eval: False
Conundrum: Does 24 divide 2297?
Eval: False
Conundrum: Is 423839 a multiple of 19?
Ev... | english |
numbers: place value
--------------------
Example: What is the hundreds digit of 102373?
Response: 3
Example: What is the hundreds digit of 17583606?
Response: 6
Example: What is the hundred thousands digit of 2623737?
Response: 6
Example: What is the millions digit of 5749120?
Response: 5
Example: What is the thousand... | english |
arithmetic: nearest integer root
--------------------------------
Item: What is the tenth root of 5839190 to the nearest integer?
Answer: 5
Item: What is the cube root of 339 to the nearest integer?
Answer: 7
Item: What is 9538 to the power of 1/2, to the nearest integer?
Answer: 98
Item: What is 7323 to the power of 1... | english |
measurement: time
-----------------
Example: What is 63 minutes after 6:10 PM?
Answer: 7:13 PM
Example: How many minutes are there between 7:23 PM and 11:36 PM?
Answer: 253
Example: What is 399 minutes before 1:44 PM?
Answer: 7:05 AM
Example: How many minutes are there between 1:38 AM and 8:26 AM?
Answer: 408
Example: ... | english |
numbers: is prime
-----------------
Exercise: Is 19256813 a prime number?
Resolution: False
Exercise: Is 29568238391 composite?
Resolution: True
Exercise: Is 277567 composite?
Resolution: False
Exercise: Is 45535223 composite?
Resolution: False
Exercise: Is 329977 composite?
Resolution: False
Exercise: Is 30614539 a co... | english |
numbers: gcd
------------
Item: Calculate the highest common factor of 122 and 34.
Final Answer: 2
Item: Calculate the greatest common factor of 42765 and 5.
Final Answer: 5
Item: Calculate the highest common factor of 117 and 1503.
Final Answer: 9
Item: Calculate the greatest common factor of 432 and 162.
Final Answer... | english |
probability: swr p sequence
---------------------------
Scenario: Calculate prob of sequence uuxc when four letters picked without replacement from xuuxdxxcxcxx.
Gives: 7/2970
Scenario: Two letters picked without replacement from rdedf. Give prob of sequence re.
Gives: 1/20
Scenario: What is prob of sequence kdkd when ... | english |
probability: swr p level set
----------------------------
Case: What is prob of picking 1 p, 1 k, and 1 d when three letters picked without replacement from {l: 5, d: 1, p: 1, i: 2, k: 1}?
Outcome: 1/120
Case: Three letters picked without replacement from {k: 3, p: 12}. What is prob of picking 3 p?
Outcome: 44/91
Case:... | english |
numbers: is prime
-----------------
Topic: Is 59536067 composite?
Explanation: False
Topic: Is 4621 prime?
Explanation: True
Topic: Is 295553 a prime number?
Explanation: True
Topic: Is 25997 prime?
Explanation: True
Topic: Is 78922009 a prime number?
Explanation: False
Topic: Is 161203467247 a prime number?
Explanatio... | english |
measurement: time
-----------------
Given: What is 467 minutes after 9:50 PM?
Outcome: 5:37 AM
Given: How many minutes are there between 9:31 AM and 7:18 PM?
Outcome: 587
Given: What is 597 minutes after 8:45 AM?
Outcome: 6:42 PM
Given: How many minutes are there between 1:15 PM and 2:04 PM?
Outcome: 49
Given: How many... | english |
arithmetic: nearest integer root
--------------------------------
Input: What is the cube root of 2947269775 to the nearest integer?
→: 1434
Input: What is 532669893 to the power of 1/4, to the nearest integer?
→: 152
Input: What is 9375 to the power of 1/3, to the nearest integer?
→: 21
Input: What is the cube root of... | english |
numbers: is factor
------------------
Example: Does 13 divide 2074982?
Gives: True
Example: Does 85 divide 7987535?
Gives: True
Example: Does 45 divide 26629?
Gives: False
Example: Is 359353064 a multiple of 5205?
Gives: False
Example: Is 561 a factor of 9203766?
Gives: True
Example: Is 64674 a multiple of 33?
Gives: F... | english |
numbers: div remainder
----------------------
Given: Calculate the remainder when 659 is divided by 82.
Sol: 3
Given: Calculate the remainder when 2429416 is divided by 117.
Sol: 28
Given: What is the remainder when 1232254 is divided by 49289?
Sol: 29
Given: Calculate the remainder when 2896 is divided by 200.
Sol: 96... | english |
measurement: time
-----------------
Statement: How many minutes are there between 9:49 PM and 9:28 AM?
A: 699
Statement: How many minutes are there between 12:24 AM and 10:34 AM?
A: 610
Statement: What is 121 minutes before 12:00 PM?
A: 9:59 AM
Statement: What is 501 minutes after 10:11 AM?
A: 6:32 PM
Statement: What i... | english |
measurement: conversion
-----------------------
Q: How many milliseconds are there in 1/24 of a minute?
Answer: 2500
Q: How many seconds are there in two ninths of a day?
Answer: 19200
Q: How many nanograms are there in eleven eighths of a microgram?
Answer: 1375
Q: Convert 335.463 millilitres to litres.
Answer: 0.3354... | english |
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