text stringlengths 256 2k | language stringclasses 2
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numbers: place value
--------------------
Scenario: What is the millions digit of 2364349?
Therefore: 2
Scenario: What is the ten thousands digit of 38569?
Therefore: 3
Scenario: What is the thousands digit of 23448927?
Therefore: 8
Scenario: What is the hundreds digit of 4050803?
Therefore: 8
Scenario: What is the uni... | english |
probability: swr p sequence
---------------------------
Step: Three letters picked without replacement from {d: 2, a: 1, c: 2}. What is prob of sequence adc?
Answer: 1/15
Step: Calculate prob of sequence qffs when four letters picked without replacement from qssqqqfsfqsq.
Answer: 2/495
Step: Four letters picked without... | english |
probability: swr p level set
----------------------------
What if: Two letters picked without replacement from {k: 6, y: 4, u: 1, t: 5}. What is prob of picking 1 k and 1 u?
Derivation: 1/20
What if: What is prob of picking 1 v and 1 d when two letters picked without replacement from {v: 1, q: 1, u: 3, d: 4, t: 4}?
Der... | english |
numbers: gcd
------------
Q/A: What is the greatest common divisor of 933420 and 195?
Calculation: 15
Q/A: What is the highest common factor of 9 and 144?
Calculation: 9
Q/A: What is the highest common divisor of 704 and 1276?
Calculation: 44
Q/A: Calculate the greatest common divisor of 1 and 27.
Calculation: 1
Q/A: W... | english |
measurement: time
-----------------
Exercise: What is 525 minutes after 10:29 PM?
Resolution: 7:14 AM
Exercise: What is 49 minutes after 4:05 PM?
Resolution: 4:54 PM
Exercise: What is 14 minutes after 7:50 PM?
Resolution: 8:04 PM
Exercise: How many minutes are there between 12:31 AM and 8:44 AM?
Resolution: 493
Exercis... | english |
numbers: is prime
-----------------
Exercise: Is 9719 a composite number?
Eval: False
Exercise: Is 851406013 a prime number?
Eval: True
Exercise: Is 709035781 a prime number?
Eval: True
Exercise: Is 147165961 prime?
Eval: True
Exercise: Is 16406711 a composite number?
Eval: False
Exercise: Is 1732823 a composite number... | english |
numbers: is prime
-----------------
Situation: Is 243213617 a prime number?
Finding: False
Situation: Is 11737917949 composite?
Finding: False
Situation: Is 4763159 prime?
Finding: True
Situation: Is 4101966977 prime?
Finding: False
Situation: Is 38584724341 a composite number?
Finding: True
Situation: Is 254295823 a c... | english |
arithmetic: nearest integer root
--------------------------------
Task: What is 4746495 to the power of 1/2, to the nearest integer?
Fix: 2179
Task: What is 29695878 to the power of 1/3, to the nearest integer?
Fix: 310
Task: What is the third root of 34800742 to the nearest integer?
Fix: 326
Task: What is 496331 to th... | english |
measurement: conversion
-----------------------
Inquiry: What is 1/80 of a meter in micrometers?
Explanation: 12500
Inquiry: How many months are there in eighty-seven fifths of a century?
Explanation: 20880
Inquiry: Convert 2313161.7 hours to days.
Explanation: 96381.7375
Inquiry: How many millilitres are there in 3/5 ... | english |
numbers: div remainder
----------------------
Case: What is the remainder when 31099 is divided by 798?
A: 775
Case: What is the remainder when 1148938 is divided by 2992?
A: 10
Case: What is the remainder when 2107397 is divided by 1053698?
A: 1
Case: Calculate the remainder when 149950018 is divided by 1005.
A: 1003
... | english |
numbers: div remainder
----------------------
Inquiry: Calculate the remainder when 57885 is divided by 2388.
Response: 573
Inquiry: Calculate the remainder when 1150 is divided by 271.
Response: 66
Inquiry: Calculate the remainder when 7144 is divided by 723.
Response: 637
Inquiry: What is the remainder when 1087682 i... | english |
probability: swr p level set
----------------------------
Item: Calculate prob of picking 2 h, 1 x, and 1 c when four letters picked without replacement from oogggccghgxgxogogo.
Calculation: 0
Item: Two letters picked without replacement from lpwprrp. Give prob of picking 1 w and 1 r.
Calculation: 2/21
Item: Two letter... | english |
numbers: place value
--------------------
Task: What is the ten millions digit of 1976718129?
Hence: 7
Task: What is the ten thousands digit of 27712?
Hence: 2
Task: What is the thousands digit of 253168479?
Hence: 8
Task: What is the units digit of 26348313?
Hence: 3
Task: What is the ten millions digit of 1392904523?... | english |
measurement: time
-----------------
Question: What is 231 minutes after 9:02 AM?
Soln: 12:53 PM
Question: How many minutes are there between 4:07 AM and 9:03 AM?
Soln: 296
Question: How many minutes are there between 4:59 AM and 4:18 PM?
Soln: 679
Question: What is 525 minutes before 4:51 PM?
Soln: 8:06 AM
Question: Ho... | english |
probability: swr p sequence
---------------------------
Subject: Four letters picked without replacement from xtxuxyxletxte. What is prob of sequence xxly?
Response: 1/858
Subject: Two letters picked without replacement from rqrcwnkwc. What is prob of sequence kc?
Response: 1/36
Subject: Three letters picked without re... | english |
numbers: is prime
-----------------
Situation: Is 334642201 a prime number?
Compute: True
Situation: Is 203057 a composite number?
Compute: False
Situation: Is 15643341853 a composite number?
Compute: False
Situation: Is 10583757683 composite?
Compute: True
Situation: Is 1830519409 a composite number?
Compute: True
Sit... | english |
numbers: div remainder
----------------------
Ask: Calculate the remainder when 782054 is divided by 5175.
Clarification: 629
Ask: Calculate the remainder when 339 is divided by 23.
Clarification: 17
Ask: Calculate the remainder when 2393647 is divided by 134.
Clarification: 5
Ask: What is the remainder when 896 is div... | english |
measurement: conversion
-----------------------
Situation: Convert 62113.37 micrometers to kilometers.
Explanation: 0.00006211337
Situation: How many minutes are there in 17.107338s?
Explanation: 0.2851223
Situation: What is 7.28 litres in millilitres?
Explanation: 7280
Situation: What is three fifths of a litre in mil... | english |
numbers: gcd
------------
Request: Calculate the highest common factor of 1295 and 5.
Thus: 5
Request: What is the highest common divisor of 603 and 18?
Thus: 9
Request: Calculate the greatest common factor of 5969 and 47.
Thus: 47
Request: What is the greatest common divisor of 248 and 352718?
Thus: 62
Request: What i... | english |
numbers: place value
--------------------
Qn: What is the hundred thousands digit of 1258387816?
Fix: 3
Qn: What is the thousands digit of 24759984?
Fix: 9
Qn: What is the hundred thousands digit of 128093425?
Fix: 0
Qn: What is the thousands digit of 27354?
Fix: 7
Qn: What is the hundreds digit of 16201?
Fix: 2
Qn: Wh... | english |
numbers: is factor
------------------
Problem #: Does 45 divide 41596965?
Resolution: True
Problem #: Is 11251739 a multiple of 147?
Resolution: False
Problem #: Does 31 divide 771?
Resolution: False
Problem #: Does 62 divide 88983020?
Resolution: True
Problem #: Is 5457370 a multiple of 19?
Resolution: True
Problem #:... | english |
measurement: time
-----------------
Problem: How many minutes are there between 1:29 PM and 6:12 PM?
Sol: 283
Problem: How many minutes are there between 8:44 PM and 8:00 AM?
Sol: 676
Problem: How many minutes are there between 1:53 PM and 9:47 PM?
Sol: 474
Problem: How many minutes are there between 6:47 AM and 9:21 A... | english |
numbers: gcd
------------
Q/A: What is the greatest common divisor of 168 and 15480?
A: 24
Q/A: What is the highest common divisor of 117 and 54?
A: 9
Q/A: What is the highest common divisor of 759 and 18469?
A: 253
Q/A: What is the highest common factor of 132 and 75202842?
A: 66
Q/A: What is the greatest common facto... | english |
measurement: conversion
-----------------------
Exercise: How many litres are there in 330.7517ml?
Calculation: 0.3307517
Exercise: How many decades are there in 610.8714 centuries?
Calculation: 6108.714
Exercise: How many nanometers are there in fourty-five halves of a micrometer?
Calculation: 22500
Exercise: Convert ... | english |
arithmetic: nearest integer root
--------------------------------
Question: What is 1329647 to the power of 1/8, to the nearest integer?
Final Answer: 6
Question: What is 2423 to the power of 1/7, to the nearest integer?
Final Answer: 3
Question: What is the cube root of 2154182302 to the nearest integer?
Final Answer:... | english |
measurement: conversion
-----------------------
Q=: How many weeks are there in 136.96879 days?
Response: 19.56697
Q=: What is eleven halves of a millennium in months?
Response: 66000
Q=: How many millennia are there in 0.3495618 centuries?
Response: 0.03495618
Q=: Convert 0.0220463 millennia to decades.
Response: 2.20... | english |
numbers: is factor
------------------
Problem: Is 28815 a multiple of 255?
Solution: True
Problem: Does 4 divide 10733?
Solution: False
Problem: Is 570380 a multiple of 20?
Solution: True
Problem: Does 91 divide 28732249?
Solution: True
Problem: Is 462 a multiple of 33?
Solution: True
Problem: Does 4 divide 4248?
Solut... | english |
measurement: conversion
-----------------------
Question: How many kilograms are there in three fifths of a tonne?
A: 600
Question: What is one fifteenth of a century in months?
A: 80
Question: Convert 41988.8 weeks to hours.
A: 7054118.4
Question: What is 23/3 of a week in minutes?
A: 77280
Question: How many millilit... | english |
probability: swr p sequence
---------------------------
Problem: Three letters picked without replacement from zzzzzzkkzz. Give prob of sequence zkk.
Workthrough: 1/45
Problem: Calculate prob of sequence hhww when four letters picked without replacement from {w: 5, h: 5}.
Workthrough: 5/63
Problem: Two letters picked w... | english |
measurement: time
-----------------
Test item: How many minutes are there between 12:46 AM and 3:26 AM?
Gives: 160
Test item: What is 457 minutes after 8:45 PM?
Gives: 4:22 AM
Test item: What is 581 minutes after 8:16 AM?
Gives: 5:57 PM
Test item: How many minutes are there between 2:00 PM and 11:51 PM?
Gives: 591
Test... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is the sixth root of 190888 to the nearest integer?
Math A: 8
Example: What is 979 to the power of 1/10, to the nearest integer?
Math A: 2
Example: What is the cube root of 1119 to the nearest integer?
Math A: 10
Example: What is the third ... | english |
measurement: conversion
-----------------------
Scenario: What is thirteen quarters of a millennium in years?
A: 3250
Scenario: Convert 766.5156 millilitres to litres.
A: 0.7665156
Scenario: Convert 86.33001 milligrams to kilograms.
A: 0.00008633001
Scenario: Convert 9.09771 years to months.
A: 109.17252
Scenario: Conv... | english |
probability: swr p level set
----------------------------
Example: Three letters picked without replacement from vviiivrvvvvirr. What is prob of picking 1 v and 2 r?
Thus: 3/52
Example: What is prob of picking 1 x, 2 v, and 1 t when four letters picked without replacement from {v: 6, c: 1, x: 1, t: 2, j: 3}?
Thus: 6/14... | english |
probability: swr p sequence
---------------------------
Query: Four letters picked without replacement from frmrmmjmrfmm. What is prob of sequence rjfm?
Steps: 1/330
Query: Calculate prob of sequence fso when three letters picked without replacement from {t: 1, g: 1, o: 1, f: 1, s: 4}.
Steps: 1/84
Query: Calculate prob... | english |
numbers: is prime
-----------------
Topic: Is 7723030277 composite?
Therefore: False
Topic: Is 210215 a composite number?
Therefore: True
Topic: Is 66799112447 prime?
Therefore: True
Topic: Is 32569 a prime number?
Therefore: True
Topic: Is 1740637 a prime number?
Therefore: False
Topic: Is 36777094 a composite number?... | english |
numbers: is factor
------------------
Let us solve: Is 80 a factor of 50349?
Calculation: False
Let us solve: Is 7 a factor of 161?
Calculation: True
Let us solve: Is 18898 a multiple of 22?
Calculation: True
Let us solve: Is 3736903 a multiple of 116?
Calculation: False
Let us solve: Is 12184625 a multiple of 25?
Calc... | english |
numbers: place value
--------------------
Problem #: What is the hundred thousands digit of 5904431062?
Reply: 4
Problem #: What is the hundred thousands digit of 290134?
Reply: 2
Problem #: What is the units digit of 383698180?
Reply: 0
Problem #: What is the units digit of 82661?
Reply: 1
Problem #: What is the units... | english |
numbers: gcd
------------
Problem: What is the greatest common factor of 468 and 684?
Eval: 36
Problem: What is the greatest common divisor of 978397010 and 23260?
Eval: 11630
Problem: What is the highest common factor of 25717026 and 986?
Eval: 58
Problem: Calculate the greatest common factor of 6 and 3276.
Eval: 6
Pr... | english |
probability: swr p sequence
---------------------------
Problem: What is prob of sequence zc when two letters picked without replacement from zzc?
Solution: 1/3
Problem: Two letters picked without replacement from cjjccjjcbcjjcccccjcj. Give prob of sequence jb.
Solution: 2/95
Problem: Three letters picked without repla... | english |
numbers: is prime
-----------------
Subquestion: Is 51271327 a composite number?
Derivation: True
Subquestion: Is 12323 composite?
Derivation: False
Subquestion: Is 513866869 composite?
Derivation: False
Subquestion: Is 2515 composite?
Derivation: True
Subquestion: Is 728779 prime?
Derivation: False
Subquestion: Is 417... | english |
numbers: div remainder
----------------------
Prompt: What is the remainder when 672 is divided by 330?
= : 12
Prompt: What is the remainder when 9403 is divided by 19?
= : 17
Prompt: Calculate the remainder when 78620 is divided by 63.
= : 59
Prompt: Calculate the remainder when 7472140 is divided by 13586.
= : 13426
... | english |
numbers: gcd
------------
Situation: Calculate the greatest common divisor of 27 and 801.
Solution: 9
Situation: What is the highest common divisor of 312526 and 15043?
Solution: 307
Situation: Calculate the highest common divisor of 501 and 321.
Solution: 3
Situation: What is the greatest common factor of 2166 and 4?
... | english |
numbers: is factor
------------------
Scenario: Is 10 a factor of 2296?
Steps: False
Scenario: Does 13 divide 7852?
Steps: True
Scenario: Is 615454 a multiple of 83?
Steps: False
Scenario: Does 142 divide 19170?
Steps: True
Scenario: Is 14 a factor of 54414?
Steps: False
Scenario: Is 19362 a multiple of 14?
Steps: True... | english |
arithmetic: nearest integer root
--------------------------------
Math Problem: What is 6380799 to the power of 1/6, to the nearest integer?
Final Answer: 14
Math Problem: What is 83142407 to the power of 1/7, to the nearest integer?
Final Answer: 14
Math Problem: What is 311486 to the power of 1/8, to the nearest inte... | english |
numbers: place value
--------------------
Step: What is the units digit of 3084045?
Ans: 5
Step: What is the ten thousands digit of 38923?
Ans: 3
Step: What is the millions digit of 121075779?
Ans: 1
Step: What is the hundreds digit of 1837870809?
Ans: 8
Step: What is the tens digit of 62361395?
Ans: 9
Step: What is th... | english |
numbers: gcd
------------
Prompt: What is the highest common divisor of 285062 and 46?
Response: 46
Prompt: What is the greatest common divisor of 40245 and 8?
Response: 1
Prompt: Calculate the highest common factor of 147568498 and 55.
Response: 11
Prompt: Calculate the highest common divisor of 25625 and 287.
Respons... | english |
numbers: place value
--------------------
Math Q: What is the thousands digit of 3370653924?
Gives: 3
Math Q: What is the tens digit of 549?
Gives: 4
Math Q: What is the tens digit of 6390?
Gives: 9
Math Q: What is the units digit of 63583320?
Gives: 0
Math Q: What is the units digit of 1706102885?
Gives: 5
Math Q: Wha... | english |
numbers: place value
--------------------
Exercise: What is the hundreds digit of 3102?
Steps: 1
Exercise: What is the units digit of 47598?
Steps: 8
Exercise: What is the units digit of 411?
Steps: 1
Exercise: What is the millions digit of 19837879?
Steps: 9
Exercise: What is the ten thousands digit of 74610?
Steps: 7... | english |
numbers: gcd
------------
Exercise: Calculate the highest common divisor of 1170 and 2070.
Sol: 90
Exercise: What is the greatest common divisor of 42436 and 309?
Sol: 103
Exercise: What is the highest common divisor of 8157 and 6?
Sol: 3
Exercise: Calculate the greatest common divisor of 414 and 46.
Sol: 46
Exercise: ... | english |
numbers: gcd
------------
Step: What is the highest common factor of 1431 and 10356147?
Clarification: 1431
Step: What is the highest common divisor of 714 and 1734?
Clarification: 102
Step: What is the highest common factor of 27 and 7389?
Clarification: 9
Step: Calculate the greatest common divisor of 126065 and 1235... | english |
arithmetic: nearest integer root
--------------------------------
Issue: What is the square root of 13419758 to the nearest integer?
Fix: 3663
Issue: What is 28591 to the power of 1/4, to the nearest integer?
Fix: 13
Issue: What is 13295 to the power of 1/6, to the nearest integer?
Fix: 5
Issue: What is 38765755 to the... | english |
probability: swr p level set
----------------------------
Statement: Two letters picked without replacement from xkkkkqxqqrkqxkqqx. What is prob of picking 2 k?
Soln: 15/136
Statement: Two letters picked without replacement from {c: 1, h: 19}. What is prob of picking 1 c and 1 h?
Soln: 1/10
Statement: Calculate prob of... | english |
probability: swr p level set
----------------------------
Step: Two letters picked without replacement from phlbwlhwwyllwwlphbw. Give prob of picking 1 y and 1 p.
Finding: 2/171
Step: Three letters picked without replacement from duqjjfddjjduddjdjjqd. Give prob of picking 1 u and 2 q.
Finding: 1/570
Step: Calculate pro... | english |
numbers: div remainder
----------------------
Exercise: Calculate the remainder when 975 is divided by 19.
Workthrough: 6
Exercise: Calculate the remainder when 56645 is divided by 73.
Workthrough: 70
Exercise: What is the remainder when 84550 is divided by 158?
Workthrough: 20
Exercise: What is the remainder when 1471... | english |
probability: swr p sequence
---------------------------
Ask: What is prob of sequence zzz when three letters picked without replacement from kzzzzzzzzzzzzzzzkzz?
Yields: 40/57
Ask: What is prob of sequence vo when two letters picked without replacement from mmjvaajjjajo?
Yields: 1/132
Ask: What is prob of sequence hh w... | english |
numbers: place value
--------------------
Exercise: What is the units digit of 88591?
Ans: 1
Exercise: What is the hundred thousands digit of 13939657?
Ans: 9
Exercise: What is the tens digit of 33675416?
Ans: 1
Exercise: What is the hundreds digit of 955?
Ans: 9
Exercise: What is the ten thousands digit of 179197?
Ans... | english |
numbers: lcm
------------
Problem Statement: What is the common denominator of -145/108 and -59/120?
Ans: 1080
Problem Statement: Calculate the lowest common multiple of 398193 and 663655.
Ans: 1990965
Problem Statement: Find the common denominator of -12/55 and 67/154825.
Ans: 154825
Problem Statement: Calculate the l... | english |
probability: swr p sequence
---------------------------
Given: Calculate prob of sequence qqw when three letters picked without replacement from qqgsbqasbaqaqqaaqsqw.
Workthrough: 7/855
Given: Calculate prob of sequence yy when two letters picked without replacement from {x: 5, y: 9}.
Workthrough: 36/91
Given: Two lett... | english |
numbers: is prime
-----------------
Exercise: Is 9246773 a composite number?
Yields: True
Exercise: Is 402821891 composite?
Yields: True
Exercise: Is 917751707 a prime number?
Yields: True
Exercise: Is 984513 a composite number?
Yields: True
Exercise: Is 167507 a composite number?
Yields: True
Exercise: Is 3087329303 a... | english |
probability: swr p sequence
---------------------------
Q-: Calculate prob of sequence grie when four letters picked without replacement from {r: 1, e: 1, i: 1, w: 1, g: 1}.
Conclusion: 1/120
Q-: Three letters picked without replacement from hjhhjhhhhhhhhj. What is prob of sequence jhh?
Conclusion: 55/364
Q-: Four lett... | english |
numbers: place value
--------------------
Prompt: What is the units digit of 17966443?
Therefore: 3
Prompt: What is the units digit of 30368?
Therefore: 8
Prompt: What is the tens digit of 557?
Therefore: 5
Prompt: What is the tens digit of 1381656?
Therefore: 5
Prompt: What is the hundred thousands digit of 407218?
Th... | english |
numbers: place value
--------------------
Math Q: What is the thousands digit of 12291443?
Response: 1
Math Q: What is the hundreds digit of 765?
Response: 7
Math Q: What is the units digit of 166?
Response: 6
Math Q: What is the ten thousands digit of 38568132?
Response: 6
Math Q: What is the millions digit of 2129389... | english |
numbers: is prime
-----------------
Let us solve: Is 791443799 a composite number?
A: False
Let us solve: Is 20089737193 a composite number?
A: False
Let us solve: Is 93564581161 a prime number?
A: True
Let us solve: Is 157016031 composite?
A: True
Let us solve: Is 325709 composite?
A: False
Let us solve: Is 6671 a com... | english |
arithmetic: nearest integer root
--------------------------------
Problem Statement: What is 305847804 to the power of 1/3, to the nearest integer?
Workthrough: 674
Problem Statement: What is 665651162 to the power of 1/9, to the nearest integer?
Workthrough: 10
Problem Statement: What is the square root of 5771524 to ... | english |
numbers: gcd
------------
Inquiry: Calculate the greatest common divisor of 120 and 24612360.
Eval: 120
Inquiry: What is the greatest common factor of 418 and 88?
Eval: 22
Inquiry: What is the greatest common divisor of 16354 and 30715328?
Eval: 1258
Inquiry: Calculate the highest common factor of 3753 and 5421.
Eval: ... | english |
probability: swr p level set
----------------------------
Let us solve: What is prob of picking 2 e, 1 r, and 1 o when four letters picked without replacement from {e: 2, o: 6, r: 4}?
Derivation: 8/165
Let us solve: Two letters picked without replacement from cyyccyycycd. What is prob of picking 2 d?
Derivation: 0
Let ... | english |
numbers: place value
--------------------
Problem: What is the units digit of 2888?
Result: 8
Problem: What is the tens digit of 1561?
Result: 6
Problem: What is the hundreds digit of 388468473?
Result: 4
Problem: What is the ten thousands digit of 78083?
Result: 7
Problem: What is the units digit of 396142?
Result: 2
... | english |
measurement: time
-----------------
Challenge: What is 546 minutes after 12:25 AM?
Sol: 9:31 AM
Challenge: What is 428 minutes after 6:52 PM?
Sol: 2:00 AM
Challenge: What is 634 minutes before 6:17 PM?
Sol: 7:43 AM
Challenge: What is 152 minutes after 2:55 AM?
Sol: 5:27 AM
Challenge: What is 360 minutes before 6:37 PM?... | english |
numbers: is prime
-----------------
Part A: Is 25969 prime?
Compute: True
Part A: Is 29737789787 a composite number?
Compute: False
Part A: Is 53843681 composite?
Compute: False
Part A: Is 240900353 a composite number?
Compute: True
Part A: Is 5237138059 composite?
Compute: False
Part A: Is 20165274611 a prime number?
... | english |
arithmetic: nearest integer root
--------------------------------
Puzzle: What is 38 to the power of 1/3, to the nearest integer?
Math A: 3
Puzzle: What is 3000573494 to the power of 1/2, to the nearest integer?
Math A: 54777
Puzzle: What is the square root of 24420 to the nearest integer?
Math A: 156
Puzzle: What is t... | english |
numbers: is factor
------------------
Statement: Is 31 a factor of 23188?
Eval: True
Statement: Is 17 a factor of 24304?
Eval: False
Statement: Does 3061 divide 864084976?
Eval: False
Statement: Does 1243 divide 4739681685?
Eval: False
Statement: Does 45 divide 52977330?
Eval: True
Statement: Does 26 divide 4031528?
Ev... | english |
numbers: is factor
------------------
Example: Does 27 divide 45511335?
Clarification: True
Example: Is 841770 a multiple of 10?
Clarification: True
Example: Is 4 a factor of 6967520?
Clarification: True
Example: Does 26 divide 39235144?
Clarification: True
Example: Does 230 divide 817022?
Clarification: False
Example:... | english |
numbers: is prime
-----------------
Conundrum: Is 892516517 a composite number?
Response: True
Conundrum: Is 113316719 a composite number?
Response: False
Conundrum: Is 189525863 prime?
Response: False
Conundrum: Is 19219205 prime?
Response: False
Conundrum: Is 1120786 a prime number?
Response: False
Conundrum: Is 2069... | english |
numbers: gcd
------------
Example: What is the highest common factor of 108 and 53793?
Steps: 9
Example: Calculate the highest common divisor of 4008430146 and 2478.
Steps: 2478
Example: Calculate the highest common divisor of 70 and 407918.
Steps: 14
Example: What is the highest common divisor of 48 and 492?
Steps: 12... | english |
probability: swr p level set
----------------------------
What if: What is prob of picking 1 y, 1 o, and 2 f when four letters picked without replacement from qyhqmffmo?
→: 1/126
What if: What is prob of picking 1 m and 1 g when two letters picked without replacement from {u: 4, m: 1, y: 2, k: 3, v: 2, g: 2}?
→: 2/91
W... | english |
numbers: is prime
-----------------
Case: Is 1312345994 composite?
Derivation: True
Case: Is 3209675927 a prime number?
Derivation: True
Case: Is 1843365169 composite?
Derivation: False
Case: Is 11281 a composite number?
Derivation: True
Case: Is 80737 a prime number?
Derivation: True
Case: Is 748650349 prime?
Derivati... | english |
numbers: place value
--------------------
Example: What is the thousands digit of 1104806893?
Therefore: 6
Example: What is the tens digit of 24037?
Therefore: 3
Example: What is the tens digit of 1181880614?
Therefore: 1
Example: What is the hundreds digit of 75080?
Therefore: 0
Example: What is the hundreds digit of ... | english |
numbers: div remainder
----------------------
Given: What is the remainder when 202796 is divided by 259?
Outcome: 258
Given: What is the remainder when 18612528 is divided by 1511?
Outcome: 30
Given: Calculate the remainder when 95 is divided by 19.
Outcome: 0
Given: What is the remainder when 1620 is divided by 772?
... | english |
numbers: is prime
-----------------
Problem: Is 18806 a composite number?
Solution: True
Problem: Is 7331 composite?
Solution: False
Problem: Is 4192527263 a prime number?
Solution: False
Problem: Is 48847 a composite number?
Solution: False
Problem: Is 134303 prime?
Solution: False
Problem: Is 26588203 prime?
Solution... | english |
probability: swr p sequence
---------------------------
Ask: Three letters picked without replacement from {p: 1, a: 1, i: 1, z: 1, h: 1, x: 2}. What is prob of sequence azi?
Math A: 1/210
Ask: What is prob of sequence qqf when three letters picked without replacement from {n: 5, f: 3, q: 3, h: 1}?
Math A: 3/220
Ask: T... | english |
probability: swr p level set
----------------------------
Prompt: Three letters picked without replacement from {y: 15, f: 4}. Give prob of picking 3 y.
Answer: 455/969
Prompt: Two letters picked without replacement from {o: 2, j: 5}. Give prob of picking 2 o.
Answer: 1/21
Prompt: Calculate prob of picking 4 i when fou... | english |
numbers: is prime
-----------------
Math Q: Is 20520611 composite?
Thus: True
Math Q: Is 4677179 prime?
Thus: False
Math Q: Is 5579190013 a prime number?
Thus: True
Math Q: Is 31168218703 prime?
Thus: True
Math Q: Is 2829383 a composite number?
Thus: False
Math Q: Is 2933016917 composite?
Thus: False
Math Q: Is 15307 c... | english |
probability: swr p level set
----------------------------
Question: Two letters picked without replacement from ararrsrasrrrssssa. What is prob of picking 1 a and 1 s?
Answer: 3/17
Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from {x: 2, z: 2, o: 3, j: 2}?
Answer: 1/6
Questi... | english |
probability: swr p level set
----------------------------
Statement: Calculate prob of picking 3 k and 1 u when four letters picked without replacement from {p: 5, k: 7, u: 7}.
Key: 245/3876
Statement: Four letters picked without replacement from {c: 1, o: 1, x: 2}. What is prob of picking 2 o, 1 x, and 1 c?
Key: 0
Sta... | english |
numbers: is prime
-----------------
Let: Is 3641494487 a composite number?
Interpretation: False
Let: Is 4682280991 composite?
Interpretation: True
Let: Is 316718543 a composite number?
Interpretation: True
Let: Is 66379367 composite?
Interpretation: False
Let: Is 1779952781 a composite number?
Interpretation: True
Let... | english |
numbers: place value
--------------------
Statement: What is the millions digit of 1948689173?
Eval: 8
Statement: What is the hundreds digit of 3006?
Eval: 0
Statement: What is the units digit of 2053313?
Eval: 3
Statement: What is the tens digit of 7914539?
Eval: 3
Statement: What is the hundreds digit of 3452?
Eval: ... | english |
probability: swr p level set
----------------------------
Q/A: What is prob of picking 2 m when two letters picked without replacement from {k: 5, m: 5}?
Eval: 2/9
Q/A: Calculate prob of picking 3 z and 1 w when four letters picked without replacement from {m: 1, z: 3, y: 1, d: 3, w: 3}.
Eval: 1/110
Q/A: Four letters p... | english |
probability: swr p level set
----------------------------
Task: What is prob of picking 4 n when four letters picked without replacement from {w: 4, n: 7}?
Outcome: 7/66
Task: What is prob of picking 1 y, 1 j, and 1 x when three letters picked without replacement from xjjqyxxqbjyj?
Outcome: 6/55
Task: Four letters pick... | english |
numbers: is factor
------------------
Question: Is 22 a factor of 35869?
Math A: False
Question: Is 45109337 a multiple of 13?
Math A: True
Question: Does 2 divide 14993?
Math A: False
Question: Does 13 divide 33566?
Math A: True
Question: Does 3364 divide 426349639?
Math A: False
Question: Is 77627 a multiple of 87?
M... | english |
arithmetic: nearest integer root
--------------------------------
Request: What is the third root of 6937 to the nearest integer?
→: 19
Request: What is the seventh root of 595003152 to the nearest integer?
→: 18
Request: What is 4271 to the power of 1/3, to the nearest integer?
→: 16
Request: What is the square root o... | english |
measurement: time
-----------------
Exercise: What is 90 minutes after 3:49 AM?
Fix: 5:19 AM
Exercise: How many minutes are there between 9:01 AM and 7:37 PM?
Fix: 636
Exercise: What is 328 minutes after 7:25 AM?
Fix: 12:53 PM
Exercise: What is 324 minutes before 11:25 PM?
Fix: 6:01 PM
Exercise: How many minutes are th... | english |
measurement: time
-----------------
Case: How many minutes are there between 11:22 PM and 7:09 AM?
Soln: 467
Case: What is 473 minutes before 5:33 AM?
Soln: 9:40 PM
Case: What is 355 minutes before 1:01 AM?
Soln: 7:06 PM
Case: How many minutes are there between 11:47 PM and 2:23 AM?
Soln: 156
Case: How many minutes are... | english |
probability: swr p level set
----------------------------
Math Problem: Calculate prob of picking 4 u when four letters picked without replacement from {u: 5}.
Resolution: 1
Math Problem: What is prob of picking 1 d and 2 n when three letters picked without replacement from {o: 2, d: 7, n: 2}?
Resolution: 7/165
Math Pr... | english |
probability: swr p level set
----------------------------
Problem: Calculate prob of picking 2 e and 1 y when three letters picked without replacement from eeyyeeyeymekys.
Soln: 75/364
Problem: What is prob of picking 1 d and 3 i when four letters picked without replacement from iibdiddd?
Soln: 2/35
Problem: Four lette... | english |
probability: swr p sequence
---------------------------
Problem Statement: Three letters picked without replacement from {i: 4, e: 10}. Give prob of sequence eee.
Steps: 30/91
Problem Statement: What is prob of sequence xy when two letters picked without replacement from bfablxy?
Steps: 1/42
Problem Statement: Three le... | english |
numbers: div remainder
----------------------
Q.: Calculate the remainder when 525770 is divided by 3266.
Key: 3210
Q.: What is the remainder when 1577504 is divided by 47?
Key: 43
Q.: What is the remainder when 1289992 is divided by 651?
Key: 361
Q.: Calculate the remainder when 48508 is divided by 147.
Key: 145
Q.: C... | english |
measurement: time
-----------------
Issue: How many minutes are there between 2:10 AM and 11:55 AM?
Yields: 585
Issue: What is 172 minutes after 11:44 PM?
Yields: 2:36 AM
Issue: How many minutes are there between 5:08 AM and 1:13 PM?
Yields: 485
Issue: How many minutes are there between 5:52 PM and 10:50 PM?
Yields: 29... | english |
numbers: is factor
------------------
Math Problem: Does 245 divide 8115150?
Result: False
Math Problem: Is 94 a factor of 135078?
Result: True
Math Problem: Is 27966552 a multiple of 1847?
Result: False
Math Problem: Does 4 divide 1112611070?
Result: False
Math Problem: Is 5 a factor of 2070?
Result: True
Math Problem... | english |
arithmetic: nearest integer root
--------------------------------
Q: What is the third root of 190885290 to the nearest integer?
Hence: 576
Q: What is the square root of 38136118 to the nearest integer?
Hence: 6175
Q: What is the eighth root of 698338658 to the nearest integer?
Hence: 13
Q: What is the third root of 11... | english |
measurement: time
-----------------
Q/A: What is 331 minutes before 1:48 PM?
Derivation: 8:17 AM
Q/A: How many minutes are there between 12:05 PM and 7:30 PM?
Derivation: 445
Q/A: How many minutes are there between 9:32 AM and 2:41 PM?
Derivation: 309
Q/A: How many minutes are there between 4:01 PM and 12:17 AM?
Deriva... | english |
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