text stringlengths 256 2k | language stringclasses 2
values |
|---|---|
numbers: place value
--------------------
Qn: What is the units digit of 1129963?
Final Answer: 3
Qn: What is the thousands digit of 101368?
Final Answer: 1
Qn: What is the tens digit of 62329?
Final Answer: 2
Qn: What is the tens digit of 1290227876?
Final Answer: 7
Qn: What is the tens digit of 1104?
Final Answer: 0
... | english |
measurement: conversion
-----------------------
Prompt: What is 37136.52km in centimeters?
Final Answer: 3713652000
Prompt: How many centimeters are there in seventeen halves of a meter?
Final Answer: 850
Prompt: Convert 34.4745 centuries to months.
Final Answer: 41369.4
Prompt: What is 45/4 of a litre in millilitres?
... | english |
probability: swr p sequence
---------------------------
Question: What is prob of sequence nlt when three letters picked without replacement from {n: 1, e: 1, t: 1, a: 5, l: 1}?
Answer: 1/504
Question: Two letters picked without replacement from bbbwwwbbbbw. What is prob of sequence bb?
Answer: 21/55
Question: Calculat... | english |
numbers: lcm
------------
Inquiry: Find the common denominator of 107/32228 and 73/52.
Workthrough: 418964
Inquiry: Find the common denominator of -76/7095 and 103/7095.
Workthrough: 7095
Inquiry: What is the common denominator of -95/58 and -63/711950?
Workthrough: 711950
Inquiry: What is the least common multiple of ... | english |
arithmetic: nearest integer root
--------------------------------
Challenge: What is the tenth root of 317399 to the nearest integer?
Eval: 4
Challenge: What is the third root of 9558552 to the nearest integer?
Eval: 212
Challenge: What is 68238 to the power of 1/2, to the nearest integer?
Eval: 261
Challenge: What is ... | english |
numbers: gcd
------------
Issue: Calculate the greatest common factor of 3002 and 418.
Ans: 38
Issue: What is the greatest common divisor of 64636609 and 1241?
Ans: 73
Issue: Calculate the greatest common factor of 12049032 and 480.
Ans: 24
Issue: Calculate the greatest common factor of 5 and 665.
Ans: 5
Issue: Calcula... | english |
arithmetic: nearest integer root
--------------------------------
Q): What is 248865 to the power of 1/2, to the nearest integer?
Sol: 499
Q): What is the square root of 116146601 to the nearest integer?
Sol: 10777
Q): What is 567646051 to the power of 1/3, to the nearest integer?
Sol: 828
Q): What is the cube root of ... | english |
probability: swr p level set
----------------------------
Ask: Two letters picked without replacement from dddm. Give prob of picking 2 d.
Fix: 1/2
Ask: Three letters picked without replacement from ttxzwttwxvzvxkk. Give prob of picking 2 t and 1 v.
Fix: 12/455
Ask: What is prob of picking 3 u when three letters picked... | english |
numbers: gcd
------------
Scenario: Calculate the greatest common factor of 182925 and 466425.
Outcome: 675
Scenario: Calculate the highest common divisor of 208 and 962.
Outcome: 26
Scenario: What is the greatest common factor of 58248 and 1129824?
Outcome: 72
Scenario: What is the greatest common divisor of 814359 an... | english |
measurement: conversion
-----------------------
Statement: How many kilograms are there in 3.546145g?
Key: 0.003546145
Statement: How many years are there in 27/4 of a millennium?
Key: 6750
Statement: Convert 1643.2161 hours to days.
Key: 68.4673375
Statement: How many micrograms are there in 7.926154 tonnes?
Key: 7926... | english |
probability: swr p level set
----------------------------
Qn: Two letters picked without replacement from immimiiwmm. What is prob of picking 1 i and 1 m?
Response: 4/9
Qn: Two letters picked without replacement from wiwilswlstyl. Give prob of picking 1 l and 1 s.
Response: 1/11
Qn: Three letters picked without replace... | english |
measurement: conversion
-----------------------
Puzzle: How many micrometers are there in 44/5 of a centimeter?
Compute: 88000
Puzzle: How many millilitres are there in six fifths of a litre?
Compute: 1200
Puzzle: What is 7/2 of a hour in seconds?
Compute: 12600
Puzzle: How many months are there in fourty-five quarters... | english |
arithmetic: nearest integer root
--------------------------------
Question: What is the square root of 15434638 to the nearest integer?
Solution: 3929
Question: What is the cube root of 47836 to the nearest integer?
Solution: 36
Question: What is the third root of 2850609327 to the nearest integer?
Solution: 1418
Quest... | english |
numbers: div remainder
----------------------
Input: Calculate the remainder when 2202 is divided by 170.
Output: 162
Input: What is the remainder when 70 is divided by 38?
Output: 32
Input: Calculate the remainder when 10807979 is divided by 10.
Output: 9
Input: Calculate the remainder when 2517 is divided by 98.
Outp... | english |
numbers: place value
--------------------
Problem #: What is the thousands digit of 5684?
Eval: 5
Problem #: What is the thousands digit of 52473115?
Eval: 3
Problem #: What is the hundreds digit of 208?
Eval: 2
Problem #: What is the tens digit of 14604442?
Eval: 4
Problem #: What is the thousands digit of 1124146?
Ev... | english |
numbers: is prime
-----------------
Task: Is 25599131969 a composite number?
Solution: True
Task: Is 150258271 a prime number?
Solution: False
Task: Is 4590661 prime?
Solution: True
Task: Is 416971999 prime?
Solution: True
Task: Is 93415222 composite?
Solution: True
Task: Is 1068611 a prime number?
Solution: True
Task:... | english |
numbers: is prime
-----------------
Conundrum: Is 87883 a prime number?
Solution: False
Conundrum: Is 51943 a prime number?
Solution: False
Conundrum: Is 1801 a prime number?
Solution: True
Conundrum: Is 101378371 a prime number?
Solution: True
Conundrum: Is 10034506681 a composite number?
Solution: True
Conundrum: Is ... | english |
measurement: conversion
-----------------------
Inquiry: How many millimeters are there in 17/2 of a centimeter?
Soln: 85
Inquiry: What is thirty-one fifths of a litre in millilitres?
Soln: 6200
Inquiry: What is 21/4 of a kilogram in grams?
Soln: 5250
Inquiry: What is 52/5 of a litre in millilitres?
Soln: 10400
Inquiry... | english |
probability: swr p sequence
---------------------------
Task: Two letters picked without replacement from rriqrrqrrrkrrkkkqr. What is prob of sequence ir?
Result: 5/153
Task: What is prob of sequence sffs when four letters picked without replacement from sfffffffffffsfsfssf?
Result: 455/11628
Task: What is prob of sequ... | english |
numbers: lcm
------------
Math Problem: Calculate the least common multiple of 573 and 6.
Ans: 1146
Math Problem: What is the common denominator of 91/102 and -36/833?
Ans: 4998
Math Problem: What is the common denominator of -13/9475372 and -119/6?
Ans: 28426116
Math Problem: What is the lowest common multiple of 576 ... | english |
numbers: is prime
-----------------
Issue: Is 2285719337 a prime number?
Workthrough: False
Issue: Is 15814 composite?
Workthrough: True
Issue: Is 1509331 prime?
Workthrough: True
Issue: Is 461542339 a composite number?
Workthrough: False
Issue: Is 2435491 prime?
Workthrough: False
Issue: Is 605257 a composite number?
... | english |
probability: swr p level set
----------------------------
Case: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from iibwwcpoioww.
Resolution: 1/33
Case: Four letters picked without replacement from nnnnnjjjjjnjnjnnnnjz. Give prob of picking 2 n, 1 j, and 1 z.
Resolution: 88/969
Case: ... | english |
probability: swr p sequence
---------------------------
What if: Calculate prob of sequence mc when two letters picked without replacement from mmccgmcmmmmb.
Conclusion: 7/44
What if: Calculate prob of sequence lxvl when four letters picked without replacement from {v: 5, a: 5, n: 2, x: 1, q: 1, l: 5}.
Conclusion: 25/2... | english |
numbers: is factor
------------------
Inquiry: Is 527085 a multiple of 1105?
Steps: True
Inquiry: Is 16461530 a multiple of 252?
Steps: False
Inquiry: Does 168 divide 397302401?
Steps: False
Inquiry: Is 13 a factor of 218254?
Steps: False
Inquiry: Is 631 a factor of 76858324?
Steps: True
Inquiry: Does 15 divide 14025?
... | english |
measurement: conversion
-----------------------
Qn: How many years are there in 1/5 of a millennium?
Reply: 200
Qn: What is 0.7088025 hours in nanoseconds?
Reply: 2551689000000
Qn: How many millilitres are there in thirteen quarters of a litre?
Reply: 3250
Qn: What is 511161.5ml in litres?
Reply: 511.1615
Qn: Convert 4... | english |
numbers: lcm
------------
Example: Calculate the smallest common multiple of 126214 and 5313.
Resolution: 60961362
Example: Calculate the common denominator of -11/13554 and -133/66.
Resolution: 149094
Example: Find the common denominator of -25/7644 and 101/6552.
Resolution: 45864
Example: What is the common denominat... | english |
numbers: is factor
------------------
Problem: Is 14 a factor of 3276?
Calculation: True
Problem: Is 106 a factor of 1670560?
Calculation: True
Problem: Is 69 even?
Calculation: False
Problem: Does 96 divide 8544?
Calculation: True
Problem: Is 59 a factor of 85255?
Calculation: True
Problem: Is 168 a factor of 20610364... | english |
numbers: div remainder
----------------------
Test item: Calculate the remainder when 54408 is divided by 27200.
Workthrough: 8
Test item: Calculate the remainder when 4083 is divided by 8.
Workthrough: 3
Test item: What is the remainder when 83822 is divided by 20916?
Workthrough: 158
Test item: What is the remainder ... | english |
measurement: time
-----------------
Issue: How many minutes are there between 7:48 PM and 5:47 AM?
Soln: 599
Issue: What is 570 minutes after 3:37 AM?
Soln: 1:07 PM
Issue: How many minutes are there between 7:51 PM and 8:43 PM?
Soln: 52
Issue: What is 249 minutes after 5:24 PM?
Soln: 9:33 PM
Issue: What is 202 minutes ... | english |
arithmetic: nearest integer root
--------------------------------
Topic: What is the third root of 81047 to the nearest integer?
Reply: 43
Topic: What is the eighth root of 159293731 to the nearest integer?
Reply: 11
Topic: What is 48836057 to the power of 1/10, to the nearest integer?
Reply: 6
Topic: What is the cube ... | english |
numbers: place value
--------------------
Subquestion: What is the units digit of 9713?
Ans: 3
Subquestion: What is the ten thousands digit of 265960?
Ans: 6
Subquestion: What is the ten thousands digit of 414933?
Ans: 1
Subquestion: What is the millions digit of 5759027?
Ans: 5
Subquestion: What is the millions digit ... | english |
measurement: time
-----------------
Question: What is 92 minutes after 12:34 PM?
Ans: 2:06 PM
Question: What is 167 minutes after 1:25 PM?
Ans: 4:12 PM
Question: What is 98 minutes before 7:39 AM?
Ans: 6:01 AM
Question: What is 337 minutes after 2:01 PM?
Ans: 7:38 PM
Question: How many minutes are there between 1:29 AM... | english |
probability: swr p sequence
---------------------------
Problem: Calculate prob of sequence xrj when three letters picked without replacement from {a: 1, x: 2, g: 4, j: 4, r: 5}.
Soln: 1/84
Problem: Calculate prob of sequence kwii when four letters picked without replacement from {k: 1, v: 1, i: 3, e: 1, w: 2, x: 3}.
S... | english |
numbers: place value
--------------------
Task: What is the ten thousands digit of 536176?
Derivation: 3
Task: What is the millions digit of 1916144?
Derivation: 1
Task: What is the tens digit of 6863?
Derivation: 6
Task: What is the thousands digit of 4702245579?
Derivation: 5
Task: What is the tens digit of 152522061... | english |
arithmetic: nearest integer root
--------------------------------
Problem #: What is the cube root of 35221082 to the nearest integer?
Gives: 328
Problem #: What is the fourth root of 5491 to the nearest integer?
Gives: 9
Problem #: What is 3122 to the power of 1/4, to the nearest integer?
Gives: 7
Problem #: What is 1... | english |
numbers: is factor
------------------
Input: Is 35 a factor of 4021?
Response: False
Input: Does 11 divide 1740?
Response: False
Input: Does 79 divide 1343?
Response: True
Input: Is 482 a factor of 125320?
Response: True
Input: Is 163 a factor of 1822590205?
Response: True
Input: Is 1354 a multiple of 3?
Response: Fals... | english |
probability: swr p sequence
---------------------------
Situation: Four letters picked without replacement from kkkccycckcccc. What is prob of sequence kkky?
Derivation: 1/715
Situation: Three letters picked without replacement from {y: 2, o: 2, e: 1, j: 1}. What is prob of sequence jeo?
Derivation: 1/60
Situation: Wha... | english |
numbers: gcd
------------
Subquestion: What is the greatest common divisor of 1149 and 49966563?
Result: 1149
Subquestion: Calculate the greatest common divisor of 85 and 51.
Result: 17
Subquestion: What is the greatest common factor of 26298 and 11451318?
Result: 2922
Subquestion: Calculate the greatest common factor ... | english |
probability: swr p level set
----------------------------
Input: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from {f: 2, s: 1, j: 3, e: 1, y: 3}.
A.: 1/120
Input: Three letters picked without replacement from {n: 4, d: 1, p: 1, g: 3, e: 1, o: 5}. Give prob of picking 1 n, 1 p, an... | english |
measurement: conversion
-----------------------
Task: How many millimeters are there in seven quarters of a meter?
Finding: 1750
Task: What is 0.492354kg in milligrams?
Finding: 492354
Task: What is twenty-one quarters of a minute in seconds?
Finding: 315
Task: How many nanometers are there in 91.57577 micrometers?
Fin... | english |
numbers: lcm
------------
Query: Calculate the common denominator of -38/34977 and 83/1869.
Calculation: 244839
Query: What is the lowest common multiple of 47699255 and 12202135?
Calculation: 524691805
Query: What is the smallest common multiple of 48 and 1456?
Calculation: 4368
Query: Find the common denominator of 1... | english |
numbers: is factor
------------------
Prompt: Is 24 a factor of 672?
Outcome: True
Prompt: Does 6 divide 504?
Outcome: True
Prompt: Is 225839595 a multiple of 5?
Outcome: True
Prompt: Is 59322004 a multiple of 28?
Outcome: True
Prompt: Does 16 divide 249179040?
Outcome: True
Prompt: Does 21 divide 8156?
Outcome: False
... | english |
arithmetic: nearest integer root
--------------------------------
Given: What is 18444 to the power of 1/2, to the nearest integer?
Calculation: 136
Given: What is the seventh root of 3116918 to the nearest integer?
Calculation: 8
Given: What is 77634059 to the power of 1/10, to the nearest integer?
Calculation: 6
Give... | english |
numbers: is prime
-----------------
Scenario: Is 2429309 prime?
Outcome: False
Scenario: Is 1072987 prime?
Outcome: False
Scenario: Is 27798346193 a prime number?
Outcome: True
Scenario: Is 34123 composite?
Outcome: False
Scenario: Is 18513191 prime?
Outcome: True
Scenario: Is 20541539677 composite?
Outcome: False
Scen... | english |
numbers: list prime factors
---------------------------
Math Problem: What are the prime factors of 2165834?
Clarification: 2, 11, 17, 5791
Math Problem: List the prime factors of 207715950.
Clarification: 2, 3, 5, 13, 35507
Math Problem: List the prime factors of 14654.
Clarification: 2, 17, 431
Math Problem: What are... | english |
measurement: conversion
-----------------------
Given: Convert 6397.004 years to decades.
Final Answer: 639.7004
Given: What is 80780.36 micrometers in meters?
Final Answer: 0.08078036
Given: How many meters are there in five quarters of a kilometer?
Final Answer: 1250
Given: What is 1.8346473us in hours?
Final Answer:... | english |
probability: swr p sequence
---------------------------
Example: Three letters picked without replacement from rrr. What is prob of sequence rrr?
Steps: 1
Example: Four letters picked without replacement from {y: 1, i: 17}. Give prob of sequence iiyi.
Steps: 1/18
Example: Two letters picked without replacement from zzz... | english |
measurement: time
-----------------
Conundrum: What is 115 minutes before 11:09 AM?
Ans: 9:14 AM
Conundrum: How many minutes are there between 9:40 PM and 11:46 PM?
Ans: 126
Conundrum: What is 705 minutes after 12:03 AM?
Ans: 11:48 AM
Conundrum: How many minutes are there between 3:43 AM and 1:26 PM?
Ans: 583
Conundrum... | english |
numbers: place value
--------------------
Part A: What is the units digit of 296847592?
A.: 2
Part A: What is the millions digit of 200099339?
A.: 0
Part A: What is the hundred thousands digit of 169928?
A.: 1
Part A: What is the hundreds digit of 1978?
A.: 9
Part A: What is the tens digit of 7852?
A.: 5
Part A: What i... | english |
numbers: is factor
------------------
Question: Does 47 divide 589575176?
Finding: False
Question: Is 18654 a multiple of 3?
Finding: True
Question: Does 121 divide 20963?
Finding: False
Question: Is 1040 a multiple of 20?
Finding: True
Question: Is 847223163 a multiple of 78?
Finding: False
Question: Is 79 a factor of... | english |
numbers: div remainder
----------------------
Situation: Calculate the remainder when 25431919 is divided by 84.
A: 79
Situation: What is the remainder when 12081 is divided by 4?
A: 1
Situation: Calculate the remainder when 64 is divided by 50.
A: 14
Situation: What is the remainder when 2007 is divided by 183?
A: 177... | english |
numbers: place value
--------------------
Prompt: What is the thousands digit of 3666?
= : 3
Prompt: What is the tens digit of 35553286?
= : 8
Prompt: What is the hundreds digit of 32220?
= : 2
Prompt: What is the hundreds digit of 3855?
= : 8
Prompt: What is the tens digit of 29464?
= : 6
Prompt: What is the thousands... | english |
measurement: time
-----------------
Q/A: How many minutes are there between 2:15 PM and 7:33 PM?
Compute: 318
Q/A: How many minutes are there between 11:59 PM and 11:16 AM?
Compute: 677
Q/A: What is 508 minutes before 4:00 PM?
Compute: 7:32 AM
Q/A: What is 372 minutes before 3:44 AM?
Compute: 9:32 PM
Q/A: How many minu... | english |
arithmetic: nearest integer root
--------------------------------
Task: What is 452 to the power of 1/10, to the nearest integer?
Steps: 2
Task: What is the cube root of 146678 to the nearest integer?
Steps: 53
Task: What is 179376551 to the power of 1/5, to the nearest integer?
Steps: 45
Task: What is 1190295 to the p... | english |
probability: swr p level set
----------------------------
Q/A: Three letters picked without replacement from ydjjddbvjbj. What is prob of picking 3 d?
A: 1/165
Q/A: What is prob of picking 1 y and 1 o when two letters picked without replacement from yroyrrr?
A: 2/21
Q/A: Three letters picked without replacement from ff... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is 443811356 to the power of 1/2, to the nearest integer?
Calculation: 21067
Prompt: What is 935 to the power of 1/8, to the nearest integer?
Calculation: 2
Prompt: What is the square root of 179112815 to the nearest integer?
Calculation: 13... | english |
measurement: time
-----------------
What if: How many minutes are there between 11:53 AM and 1:50 PM?
Output: 117
What if: How many minutes are there between 6:48 PM and 10:39 PM?
Output: 231
What if: How many minutes are there between 5:12 AM and 3:48 PM?
Output: 636
What if: How many minutes are there between 3:42 PM... | english |
numbers: div remainder
----------------------
Let: What is the remainder when 6177 is divided by 101?
Thus: 16
Let: Calculate the remainder when 12664 is divided by 99.
Thus: 91
Let: What is the remainder when 624824 is divided by 30?
Thus: 14
Let: What is the remainder when 23263 is divided by 23076?
Thus: 187
Let: Wh... | english |
numbers: div remainder
----------------------
Subject: Calculate the remainder when 319682971 is divided by 16.
Answer: 11
Subject: What is the remainder when 4164 is divided by 610?
Answer: 504
Subject: What is the remainder when 1662 is divided by 321?
Answer: 57
Subject: Calculate the remainder when 7242892 is divid... | english |
numbers: place value
--------------------
What if: What is the hundreds digit of 218?
Explanation: 2
What if: What is the ten thousands digit of 49593003?
Explanation: 9
What if: What is the tens digit of 1479264790?
Explanation: 9
What if: What is the units digit of 2922806?
Explanation: 6
What if: What is the ten mil... | english |
probability: swr p sequence
---------------------------
Let: Three letters picked without replacement from {c: 7, y: 2, u: 1, f: 1, e: 6}. Give prob of sequence yfe.
Outcome: 1/340
Let: What is prob of sequence ct when two letters picked without replacement from {c: 2, f: 1, y: 6, q: 1, t: 5}?
Outcome: 1/21
Let: What i... | english |
probability: swr p level set
----------------------------
Q.: What is prob of picking 2 i and 1 w when three letters picked without replacement from {i: 4, w: 1, k: 1, n: 2}?
Result: 3/28
Q.: Calculate prob of picking 4 l when four letters picked without replacement from llbqlllllqqp.
Result: 7/99
Q.: Three letters pic... | english |
probability: swr p level set
----------------------------
Math Problem: What is prob of picking 1 f, 1 p, and 2 w when four letters picked without replacement from {w: 3, f: 1, t: 1, p: 5}?
Hence: 1/14
Math Problem: Calculate prob of picking 3 t when three letters picked without replacement from {t: 9}.
Hence: 1
Math P... | english |
numbers: gcd
------------
Qn: Calculate the highest common factor of 50 and 380.
Math A: 10
Qn: Calculate the highest common divisor of 244044 and 7281.
Math A: 9
Qn: Calculate the greatest common factor of 668 and 76560816.
Math A: 668
Qn: What is the highest common divisor of 1288143343 and 56636?
Math A: 14159
Qn: C... | english |
numbers: div remainder
----------------------
Exercise: What is the remainder when 27338407 is divided by 1727?
Calculation: 1724
Exercise: What is the remainder when 1441 is divided by 297?
Calculation: 253
Exercise: Calculate the remainder when 4260 is divided by 398.
Calculation: 280
Exercise: Calculate the remainde... | english |
arithmetic: nearest integer root
--------------------------------
Problem Statement: What is the ninth root of 22697680 to the nearest integer?
Outcome: 7
Problem Statement: What is the third root of 8272 to the nearest integer?
Outcome: 20
Problem Statement: What is 104024719 to the power of 1/2, to the nearest intege... | english |
numbers: is factor
------------------
Exercise: Is 29 a factor of 343?
Derivation: False
Exercise: Is 8 a factor of 992?
Derivation: True
Exercise: Is 26103 a multiple of 94?
Derivation: False
Exercise: Is 3 a factor of 113321?
Derivation: False
Exercise: Is 1445701 a multiple of 953?
Derivation: True
Exercise: Does 16... | english |
probability: swr p level set
----------------------------
Problem: What is prob of picking 1 s, 1 u, 1 j, and 1 k when four letters picked without replacement from {j: 9, u: 6, s: 1, k: 3}?
Reply: 27/646
Problem: Two letters picked without replacement from {f: 7, u: 1}. Give prob of picking 1 f and 1 u.
Reply: 1/4
Prob... | english |
probability: swr p sequence
---------------------------
Q/A: What is prob of sequence ee when two letters picked without replacement from {e: 10, v: 2}?
Solution: 15/22
Q/A: Calculate prob of sequence guy when three letters picked without replacement from kruyhkhrkhkkhhkghhhh.
Solution: 1/6840
Q/A: Calculate prob of se... | english |
probability: swr p level set
----------------------------
Inquiry: What is prob of picking 1 f and 1 x when two letters picked without replacement from {f: 12, x: 7}?
Ans: 28/57
Inquiry: Three letters picked without replacement from uuuuuduauuuuuu. Give prob of picking 1 u and 2 d.
Ans: 0
Inquiry: Three letters picked ... | english |
numbers: is prime
-----------------
Math Q: Is 10884917 a prime number?
Outcome: True
Math Q: Is 63191 a composite number?
Outcome: True
Math Q: Is 999926123 prime?
Outcome: False
Math Q: Is 102965 a composite number?
Outcome: True
Math Q: Is 95383 a composite number?
Outcome: False
Math Q: Is 627491 a composite number... | english |
measurement: conversion
-----------------------
Topic: What is 45/4 of a decade in months?
Soln: 1350
Topic: What is 7/8 of a gram in milligrams?
Soln: 875
Topic: How many years are there in nine tenths of a decade?
Soln: 9
Topic: What is eighteen fifths of a milligram in micrograms?
Soln: 3600
Topic: Convert 1420.379k... | english |
measurement: time
-----------------
Prompt: How many minutes are there between 9:56 AM and 4:27 PM?
Answer: 391
Prompt: What is 664 minutes after 10:04 PM?
Answer: 9:08 AM
Prompt: What is 315 minutes after 3:19 PM?
Answer: 8:34 PM
Prompt: What is 690 minutes before 1:00 PM?
Answer: 1:30 AM
Prompt: How many minutes are ... | english |
measurement: time
-----------------
Task: What is 556 minutes after 9:17 PM?
Key: 6:33 AM
Task: What is 681 minutes before 11:11 PM?
Key: 11:50 AM
Task: How many minutes are there between 11:12 PM and 11:51 PM?
Key: 39
Task: What is 320 minutes after 3:49 AM?
Key: 9:09 AM
Task: How many minutes are there between 3:36 P... | english |
measurement: time
-----------------
Issue: What is 10 minutes before 9:32 AM?
Compute: 9:22 AM
Issue: How many minutes are there between 2:30 PM and 7:39 PM?
Compute: 309
Issue: How many minutes are there between 10:44 AM and 6:07 PM?
Compute: 443
Issue: How many minutes are there between 4:28 PM and 12:21 AM?
Compute:... | english |
arithmetic: nearest integer root
--------------------------------
Math Q: What is the third root of 18806115 to the nearest integer?
Derivation: 266
Math Q: What is 2306857032 to the power of 1/3, to the nearest integer?
Derivation: 1321
Math Q: What is the eighth root of 3333 to the nearest integer?
Derivation: 3
Math... | english |
measurement: time
-----------------
Part A: How many minutes are there between 1:40 AM and 8:52 AM?
Finding: 432
Part A: How many minutes are there between 5:59 AM and 3:45 PM?
Finding: 586
Part A: What is 528 minutes after 8:42 PM?
Finding: 5:30 AM
Part A: What is 589 minutes after 7:21 AM?
Finding: 5:10 PM
Part A: Wh... | english |
arithmetic: nearest integer root
--------------------------------
Q/A: What is 20960575 to the power of 1/7, to the nearest integer?
Hence: 11
Q/A: What is 2836 to the power of 1/2, to the nearest integer?
Hence: 53
Q/A: What is 55561 to the power of 1/3, to the nearest integer?
Hence: 38
Q/A: What is 1959533329 to the... | english |
numbers: gcd
------------
Problem Statement: Calculate the greatest common divisor of 2176 and 1802.
Fix: 34
Problem Statement: Calculate the highest common factor of 35173573 and 309.
Fix: 103
Problem Statement: What is the highest common factor of 7747 and 122?
Fix: 61
Problem Statement: What is the greatest common f... | english |
numbers: is factor
------------------
Conundrum: Is 191592 a multiple of 24?
Output: True
Conundrum: Does 3942 divide 1007776242?
Output: True
Conundrum: Does 149 divide 60105?
Output: False
Conundrum: Does 911 divide 10757999?
Output: True
Conundrum: Does 411 divide 12828132?
Output: True
Conundrum: Is 314 a factor of... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is the third root of 1470 to the nearest integer?
Clarification: 11
Example: What is the square root of 1645 to the nearest integer?
Clarification: 41
Example: What is the tenth root of 7403611000 to the nearest integer?
Clarification: 10
E... | english |
probability: swr p level set
----------------------------
Case: Two letters picked without replacement from ppppaappaappa. Give prob of picking 2 p.
Answer: 14/39
Case: Two letters picked without replacement from {c: 1, n: 2, q: 2}. What is prob of picking 2 q?
Answer: 1/10
Case: What is prob of picking 2 s when two le... | english |
probability: swr p sequence
---------------------------
Ask: Two letters picked without replacement from ktx. Give prob of sequence tx.
Response: 1/6
Ask: Two letters picked without replacement from hzzh. What is prob of sequence zz?
Response: 1/6
Ask: Calculate prob of sequence cm when two letters picked without repla... | english |
numbers: gcd
------------
Q: Calculate the highest common divisor of 264 and 69256.
Response: 88
Q: What is the greatest common factor of 128367685 and 645?
Response: 215
Q: What is the greatest common divisor of 44356 and 191389316?
Response: 3412
Q: What is the greatest common factor of 2443929 and 447?
Response: 3
Q... | english |
numbers: is factor
------------------
Test item: Does 805 divide 538545?
Resolution: True
Test item: Is 20 a factor of 130452980?
Resolution: True
Test item: Does 87 divide 1789416?
Resolution: True
Test item: Is 33 a factor of 21648?
Resolution: True
Test item: Is 1529710 a multiple of 410?
Resolution: True
Test item:... | english |
numbers: is factor
------------------
Example: Is 12 a factor of 40870632?
Explanation: True
Example: Is 201716467 a multiple of 1725?
Explanation: False
Example: Does 14 divide 320629?
Explanation: False
Example: Does 22 divide 550?
Explanation: True
Example: Does 120 divide 163838333?
Explanation: False
Example: Does... | english |
probability: swr p sequence
---------------------------
Q): Two letters picked without replacement from {a: 1, e: 2, r: 1}. What is prob of sequence ar?
Fix: 1/12
Q): Two letters picked without replacement from ccccccxxccxxcxckxc. Give prob of sequence cc.
Fix: 55/153
Q): Two letters picked without replacement from drr... | english |
measurement: conversion
-----------------------
Problem #: How many decades are there in 13/5 of a century?
Calculation: 26
Problem #: How many millimeters are there in one sixteenth of a kilometer?
Calculation: 62500
Problem #: Convert 2.442902ug to nanograms.
Calculation: 2442.902
Problem #: How many millilitres are ... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is the square root of 1579498 to the nearest integer?
Conclusion: 1257
Example: What is the third root of 8669 to the nearest integer?
Conclusion: 21
Example: What is the third root of 39203932 to the nearest integer?
Conclusion: 340
Exampl... | english |
numbers: place value
--------------------
Puzzle: What is the thousands digit of 44281573?
Soln: 1
Puzzle: What is the hundreds digit of 170714?
Soln: 7
Puzzle: What is the units digit of 132054?
Soln: 4
Puzzle: What is the ten thousands digit of 12683352?
Soln: 8
Puzzle: What is the thousands digit of 542769436?
Soln:... | english |
numbers: is prime
-----------------
Situation: Is 86627 a prime number?
Answer: True
Situation: Is 38408359 a prime number?
Answer: False
Situation: Is 10589 a composite number?
Answer: False
Situation: Is 5275860263 prime?
Answer: False
Situation: Is 2969704817 a composite number?
Answer: False
Situation: Is 814161057... | english |
numbers: is prime
-----------------
Ask: Is 15996703 prime?
Yields: True
Ask: Is 190181 a composite number?
Yields: False
Ask: Is 3333337429 composite?
Yields: False
Ask: Is 56517 a prime number?
Yields: False
Ask: Is 790147 prime?
Yields: False
Ask: Is 130847500513 prime?
Yields: False
Ask: Is 40997 a prime number?
Yi... | english |
numbers: div remainder
----------------------
Math Q: Calculate the remainder when 133462 is divided by 133435.
Reply: 27
Math Q: What is the remainder when 57474 is divided by 95?
Reply: 94
Math Q: What is the remainder when 7149 is divided by 14?
Reply: 9
Math Q: What is the remainder when 313 is divided by 79?
Reply... | english |
arithmetic: nearest integer root
--------------------------------
Subject: What is the third root of 14117612 to the nearest integer?
Answer: 242
Subject: What is 4576139 to the power of 1/2, to the nearest integer?
Answer: 2139
Subject: What is the square root of 8889 to the nearest integer?
Answer: 94
Subject: What i... | english |
numbers: is prime
-----------------
Let us solve: Is 240632299 prime?
Soln: True
Let us solve: Is 3593341 prime?
Soln: False
Let us solve: Is 35659066433 composite?
Soln: False
Let us solve: Is 5269984147 a prime number?
Soln: True
Let us solve: Is 162894077 a prime number?
Soln: True
Let us solve: Is 1127317 prime?
So... | english |
numbers: gcd
------------
Exercise: Calculate the greatest common divisor of 156 and 2052.
Finding: 12
Exercise: What is the highest common factor of 20 and 10?
Finding: 10
Exercise: What is the highest common factor of 23553 and 144?
Finding: 9
Exercise: What is the highest common divisor of 8 and 312?
Finding: 8
Exer... | english |
probability: swr p sequence
---------------------------
Problem Statement: Three letters picked without replacement from {b: 1, i: 3, c: 1, a: 6, e: 3, h: 1}. What is prob of sequence bii?
Interpretation: 1/455
Problem Statement: Calculate prob of sequence xxx when three letters picked without replacement from xxlxeeex... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is the square root of 9014758 to the nearest integer?
Explanation: 3002
Prompt: What is the square root of 22483 to the nearest integer?
Explanation: 150
Prompt: What is the square root of 153992 to the nearest integer?
Explanation: 392
Prom... | english |
probability: swr p level set
----------------------------
Ask: Calculate prob of picking 2 e when two letters picked without replacement from esse.
Math A: 1/6
Ask: Four letters picked without replacement from nnbbn. What is prob of picking 2 b and 2 n?
Math A: 3/5
Ask: Calculate prob of picking 1 n and 2 y when three ... | english |
numbers: is prime
-----------------
Q: Is 96012523 a composite number?
Final Answer: False
Q: Is 27185489 composite?
Final Answer: True
Q: Is 23783 prime?
Final Answer: False
Q: Is 1693729 composite?
Final Answer: False
Q: Is 1255 prime?
Final Answer: False
Q: Is 61651 prime?
Final Answer: True
Q: Is 1268473753 a compo... | english |
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