text stringlengths 256 2k | language stringclasses 2
values |
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numbers: is prime
-----------------
Step: Is 290821 a prime number?
Answer: True
Step: Is 1240370403 a prime number?
Answer: False
Step: Is 7634623 composite?
Answer: False
Step: Is 311788891 prime?
Answer: False
Step: Is 232901813 a prime number?
Answer: False
Step: Is 40598530891 a composite number?
Answer: True
Step... | english |
measurement: time
-----------------
Exercise: What is 107 minutes before 1:24 PM?
Answer: 11:37 AM
Exercise: How many minutes are there between 7:44 AM and 8:24 AM?
Answer: 40
Exercise: How many minutes are there between 7:49 PM and 1:30 AM?
Answer: 341
Exercise: What is 708 minutes before 10:32 PM?
Answer: 10:44 AM
Ex... | english |
numbers: is factor
------------------
Statement: Is 347 a factor of 16573?
Response: False
Statement: Is 357309735 a multiple of 15?
Response: True
Statement: Is 27 even?
Response: False
Statement: Is 312 a factor of 164245?
Response: False
Statement: Is 5 a factor of 2310?
Response: True
Statement: Is 16 a factor of 3... | english |
arithmetic: nearest integer root
--------------------------------
Problem: What is the cube root of 36520 to the nearest integer?
Eval: 33
Problem: What is the fifth root of 1228272922 to the nearest integer?
Eval: 66
Problem: What is the third root of 2993261142 to the nearest integer?
Eval: 1441
Problem: What is the ... | english |
numbers: is prime
-----------------
What if: Is 3739381 prime?
Interpretation: True
What if: Is 1358420027 a prime number?
Interpretation: True
What if: Is 361217193 composite?
Interpretation: True
What if: Is 112929874 composite?
Interpretation: True
What if: Is 29741189 prime?
Interpretation: True
What if: Is 134167 ... | english |
numbers: div remainder
----------------------
Input: What is the remainder when 7306 is divided by 429?
= : 13
Input: Calculate the remainder when 1115094 is divided by 590.
= : 584
Input: What is the remainder when 11947 is divided by 5534?
= : 879
Input: What is the remainder when 6098 is divided by 2772?
= : 554
Inp... | english |
numbers: is prime
-----------------
Math Problem: Is 1517946511 a composite number?
Result: False
Math Problem: Is 579239 composite?
Result: False
Math Problem: Is 79408493 a composite number?
Result: False
Math Problem: Is 156941 composite?
Result: False
Math Problem: Is 814823 prime?
Result: True
Math Problem: Is 177... | english |
probability: swr p level set
----------------------------
Let us solve: Four letters picked without replacement from {z: 4, u: 3, q: 5}. What is prob of picking 2 q and 2 u?
Key: 2/33
Let us solve: Three letters picked without replacement from zqqqcqqqqqqqqqq. Give prob of picking 1 q, 1 c, and 1 z.
Key: 1/35
Let us so... | english |
numbers: is prime
-----------------
Given: Is 12174067 a composite number?
Final Answer: True
Given: Is 8069301391 composite?
Final Answer: True
Given: Is 14310773 a composite number?
Final Answer: False
Given: Is 37195128101 a composite number?
Final Answer: False
Given: Is 12927931 a composite number?
Final Answer: F... | english |
numbers: gcd
------------
Request: What is the greatest common divisor of 288 and 5034?
Calculation: 6
Request: What is the highest common factor of 39 and 2327?
Calculation: 13
Request: What is the highest common divisor of 695 and 669841?
Calculation: 139
Request: What is the highest common divisor of 208 and 11600?
... | english |
probability: swr p level set
----------------------------
Scenario: Two letters picked without replacement from {k: 5, b: 2}. Give prob of picking 2 k.
A: 10/21
Scenario: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from aoaoahaahaaooaaa.
A: 3/28
Scenario: Calculate prob of pickin... | english |
probability: swr p level set
----------------------------
Q/A: Calculate prob of picking 1 m and 2 g when three letters picked without replacement from {r: 1, g: 2, q: 1, m: 2}.
Result: 1/10
Q/A: Two letters picked without replacement from {g: 5, a: 3, w: 3}. What is prob of picking 2 a?
Result: 3/55
Q/A: Calculate pro... | english |
numbers: is factor
------------------
Problem #: Does 64 divide 232374784?
Interpretation: True
Problem #: Is 99 a multiple of 2?
Interpretation: False
Problem #: Is 548388 a multiple of 36?
Interpretation: True
Problem #: Is 12938517 a multiple of 3?
Interpretation: True
Problem #: Does 18 divide 280212588?
Interpreta... | english |
numbers: place value
--------------------
Qn: What is the tens digit of 1028?
Eval: 2
Qn: What is the ten thousands digit of 43775141?
Eval: 7
Qn: What is the hundred thousands digit of 1019639?
Eval: 0
Qn: What is the thousands digit of 40490?
Eval: 0
Qn: What is the ten thousands digit of 107905027?
Eval: 0
Qn: What ... | english |
probability: swr p level set
----------------------------
Challenge: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {n: 2, q: 1, z: 1, l: 1}.
→: 1/5
Challenge: Two letters picked without replacement from {q: 11, j: 2, p: 1}. What is prob of picking 2 q?
→: 55/91
Challenge: Four l... | english |
measurement: time
-----------------
Math Problem: How many minutes are there between 8:10 AM and 9:06 AM?
Clarification: 56
Math Problem: What is 173 minutes after 10:19 PM?
Clarification: 1:12 AM
Math Problem: How many minutes are there between 4:00 AM and 10:48 AM?
Clarification: 408
Math Problem: How many minutes ar... | english |
numbers: place value
--------------------
Given: What is the ten thousands digit of 1123002?
Result: 2
Given: What is the hundreds digit of 9944?
Result: 9
Given: What is the hundred thousands digit of 645037?
Result: 6
Given: What is the tens digit of 9744289?
Result: 8
Given: What is the millions digit of 9226171?
Re... | english |
numbers: div remainder
----------------------
Qn: Calculate the remainder when 305 is divided by 105.
Solution: 95
Qn: Calculate the remainder when 68 is divided by 31.
Solution: 6
Qn: What is the remainder when 194 is divided by 52?
Solution: 38
Qn: Calculate the remainder when 741 is divided by 284.
Solution: 173
Qn:... | english |
numbers: is prime
-----------------
Let us solve: Is 559478263 a composite number?
A: False
Let us solve: Is 18294841 prime?
A: True
Let us solve: Is 911621687 a composite number?
A: False
Let us solve: Is 219384083 prime?
A: True
Let us solve: Is 8714247 a composite number?
A: True
Let us solve: Is 59303 a composite n... | english |
numbers: gcd
------------
Qn: What is the highest common divisor of 1063168 and 286464?
Reply: 256
Qn: Calculate the highest common divisor of 60 and 2353220.
Reply: 20
Qn: What is the highest common divisor of 2408 and 8283604?
Reply: 28
Qn: What is the greatest common divisor of 7072 and 35581?
Reply: 221
Qn: What is... | english |
numbers: lcm
------------
Subquestion: Calculate the common denominator of -79/2 and -91/510.
Calculation: 510
Subquestion: What is the common denominator of -11/1339 and 56/2575?
Calculation: 33475
Subquestion: Calculate the lowest common multiple of 265 and 100.
Calculation: 5300
Subquestion: Find the common denomina... | english |
probability: swr p level set
----------------------------
Item: Three letters picked without replacement from mmmmhh. Give prob of picking 1 m and 2 h.
Explanation: 1/5
Item: Calculate prob of picking 4 a when four letters picked without replacement from {a: 15, j: 4}.
Explanation: 455/1292
Item: Two letters picked wit... | english |
probability: swr p sequence
---------------------------
Prompt: Two letters picked without replacement from xcxxxc. Give prob of sequence xc.
Response: 4/15
Prompt: What is prob of sequence vx when two letters picked without replacement from {o: 1, c: 2, x: 1, j: 2, v: 1}?
Response: 1/42
Prompt: Calculate prob of seque... | english |
numbers: is prime
-----------------
Conundrum: Is 32897 composite?
Therefore: True
Conundrum: Is 2974789 a composite number?
Therefore: False
Conundrum: Is 356526221 composite?
Therefore: False
Conundrum: Is 9087079069 a prime number?
Therefore: True
Conundrum: Is 10447 a prime number?
Therefore: False
Conundrum: Is 18... | english |
measurement: time
-----------------
Subject: What is 11 minutes before 12:05 PM?
Ans: 11:54 AM
Subject: How many minutes are there between 7:51 PM and 7:53 PM?
Ans: 2
Subject: What is 366 minutes before 4:52 PM?
Ans: 10:46 AM
Subject: What is 558 minutes after 3:22 PM?
Ans: 12:40 AM
Subject: How many minutes are there ... | english |
numbers: gcd
------------
Challenge: What is the highest common divisor of 19124454 and 1067798?
Solution: 6394
Challenge: Calculate the greatest common factor of 66625384 and 1528.
Solution: 1528
Challenge: What is the greatest common factor of 12337514 and 55811?
Solution: 3283
Challenge: What is the greatest common ... | english |
numbers: is factor
------------------
Question: Is 458 a multiple of 3?
Calculation: False
Question: Is 243457 a multiple of 17?
Calculation: True
Question: Is 11 a factor of 449394?
Calculation: True
Question: Is 429 a factor of 1948004487?
Calculation: True
Question: Is 100 a factor of 2867?
Calculation: False
Questi... | english |
probability: swr p level set
----------------------------
Qn: What is prob of picking 1 e and 2 h when three letters picked without replacement from {l: 4, e: 3, h: 4}?
Solution: 6/55
Qn: Two letters picked without replacement from awrwwwdwaa. Give prob of picking 1 w and 1 a.
Solution: 1/3
Qn: Three letters picked wit... | english |
probability: swr p level set
----------------------------
Puzzle: Two letters picked without replacement from hhhh. Give prob of picking 2 h.
Sol: 1
Puzzle: What is prob of picking 2 n when two letters picked without replacement from nhnhnnhn?
Sol: 5/14
Puzzle: What is prob of picking 3 l and 1 d when four letters pick... | english |
numbers: is prime
-----------------
Task: Is 162285547 prime?
Hence: True
Task: Is 145099 prime?
Hence: False
Task: Is 1827239 a composite number?
Hence: True
Task: Is 28620674 a prime number?
Hence: False
Task: Is 25591 a prime number?
Hence: False
Task: Is 2723 composite?
Hence: True
Task: Is 91293 a composite number... | english |
probability: swr p sequence
---------------------------
Math Problem: Calculate prob of sequence bbb when three letters picked without replacement from {b: 4, o: 6, p: 2}.
Gives: 1/55
Math Problem: Two letters picked without replacement from ggssg. Give prob of sequence gg.
Gives: 3/10
Math Problem: Two letters picked ... | english |
probability: swr p sequence
---------------------------
Query: Four letters picked without replacement from {i: 2, b: 1, x: 1, e: 1}. Give prob of sequence xxii.
Calculation: 0
Query: Three letters picked without replacement from {z: 2, e: 1, q: 1, r: 4, n: 1}. What is prob of sequence zrq?
Calculation: 1/63
Query: Fou... | english |
measurement: conversion
-----------------------
Example: What is 0.820161 nanometers in kilometers?
Reply: 0.000000000000820161
Example: How many litres are there in 485338.8ml?
Reply: 485.3388
Example: What is one quarter of a centimeter in micrometers?
Reply: 2500
Example: How many litres are there in 3.287691 millil... | english |
measurement: conversion
-----------------------
Topic: Convert 0.4745241ug to kilograms.
Explanation: 0.0000000004745241
Topic: Convert 1.198239ng to tonnes.
Explanation: 0.000000000000001198239
Topic: How many minutes are there in fourty-one halves of a hour?
Explanation: 1230
Topic: How many milliseconds are there in... | english |
probability: swr p sequence
---------------------------
Puzzle: Calculate prob of sequence kki when three letters picked without replacement from iiiikikkkkii.
Eval: 7/66
Puzzle: Calculate prob of sequence dv when two letters picked without replacement from yryvwvkrdyrwkk.
Eval: 1/91
Puzzle: Calculate prob of sequence ... | english |
numbers: place value
--------------------
Prompt: What is the units digit of 18651?
Ans: 1
Prompt: What is the units digit of 10284?
Ans: 4
Prompt: What is the millions digit of 227125332?
Ans: 7
Prompt: What is the ten thousands digit of 237551616?
Ans: 5
Prompt: What is the units digit of 3705445?
Ans: 5
Prompt: What... | english |
numbers: gcd
------------
Math Problem: What is the greatest common divisor of 616 and 770?
Eval: 154
Math Problem: Calculate the highest common divisor of 64 and 224.
Eval: 32
Math Problem: Calculate the highest common divisor of 4988 and 172.
Eval: 172
Math Problem: What is the greatest common factor of 12 and 273993... | english |
numbers: is prime
-----------------
Input: Is 2922961 composite?
Outcome: False
Input: Is 15679 a prime number?
Outcome: True
Input: Is 365791 a prime number?
Outcome: True
Input: Is 5239139 prime?
Outcome: True
Input: Is 4741235347 composite?
Outcome: True
Input: Is 21139 prime?
Outcome: True
Input: Is 787513 prime?
O... | english |
numbers: gcd
------------
Let: What is the highest common factor of 16434519 and 4527?
A.: 1509
Let: Calculate the highest common factor of 45878 and 2842.
A.: 406
Let: Calculate the highest common divisor of 12649 and 161.
A.: 7
Let: What is the highest common divisor of 72 and 27?
A.: 9
Let: Calculate the highest com... | english |
probability: swr p level set
----------------------------
Let: Calculate prob of picking 1 v, 1 a, and 1 q when three letters picked without replacement from {z: 1, y: 1, q: 1, a: 1, v: 1}.
Result: 1/10
Let: Four letters picked without replacement from wogwswwgoo. Give prob of picking 2 g, 1 w, and 1 s.
Result: 2/105
L... | english |
numbers: gcd
------------
Test item: Calculate the greatest common factor of 80540 and 580.
Output: 20
Test item: Calculate the highest common factor of 1215 and 15555.
Output: 15
Test item: Calculate the highest common factor of 52300 and 1675.
Output: 25
Test item: What is the highest common divisor of 728 and 771870... | english |
numbers: is prime
-----------------
Subquestion: Is 824227 a composite number?
Finding: False
Subquestion: Is 8070817 a composite number?
Finding: False
Subquestion: Is 52955026687 prime?
Finding: False
Subquestion: Is 1546018643 a composite number?
Finding: True
Subquestion: Is 14234551 prime?
Finding: True
Subquestio... | english |
measurement: conversion
-----------------------
Qn: What is 1/4 of a gram in milligrams?
Clarification: 250
Qn: What is 189.8793 minutes in hours?
Clarification: 3.164655
Qn: How many litres are there in 647.5675 millilitres?
Clarification: 0.6475675
Qn: What is 98.58836t in micrograms?
Clarification: 98588360000000
Qn... | english |
numbers: gcd
------------
Problem: Calculate the highest common divisor of 1173744 and 191178.
Response: 4446
Problem: Calculate the greatest common divisor of 34207868 and 12.
Response: 4
Problem: What is the greatest common divisor of 15680 and 84?
Response: 28
Problem: Calculate the highest common factor of 138 and ... | english |
numbers: place value
--------------------
Ask: What is the tens digit of 1985523627?
Clarification: 2
Ask: What is the hundreds digit of 342472795?
Clarification: 7
Ask: What is the hundreds digit of 258551?
Clarification: 5
Ask: What is the tens digit of 23147?
Clarification: 4
Ask: What is the units digit of 39577224... | english |
numbers: lcm
------------
Input: Find the common denominator of -56/145110891 and 91/12.
Workthrough: 580443564
Input: What is the least common multiple of 828 and 64?
Workthrough: 13248
Input: What is the common denominator of -53/57 and -49/3?
Workthrough: 57
Input: Calculate the common denominator of -79/2266 and -8... | english |
numbers: lcm
------------
Problem: What is the lowest common multiple of 260822 and 8?
Clarification: 1043288
Problem: Calculate the least common multiple of 4168 and 2084.
Clarification: 4168
Problem: Calculate the smallest common multiple of 602 and 12.
Clarification: 3612
Problem: Calculate the lowest common multipl... | english |
numbers: place value
--------------------
Subquestion: What is the ten millions digit of 478697050?
Eval: 7
Subquestion: What is the thousands digit of 252700?
Eval: 2
Subquestion: What is the tens digit of 47096910?
Eval: 1
Subquestion: What is the hundred thousands digit of 160344?
Eval: 1
Subquestion: What is the te... | english |
numbers: is prime
-----------------
Math Problem: Is 85434169 a composite number?
Ans: True
Math Problem: Is 1960769 composite?
Ans: False
Math Problem: Is 1217 prime?
Ans: True
Math Problem: Is 13549571471 composite?
Ans: True
Math Problem: Is 436589 prime?
Ans: False
Math Problem: Is 18474905 prime?
Ans: False
Math P... | english |
numbers: div remainder
----------------------
Q/A: What is the remainder when 3615500 is divided by 464?
Hence: 12
Q/A: What is the remainder when 596771 is divided by 548?
Hence: 547
Q/A: Calculate the remainder when 211 is divided by 18.
Hence: 13
Q/A: Calculate the remainder when 104452 is divided by 18.
Hence: 16
Q... | english |
numbers: place value
--------------------
Task: What is the thousands digit of 219736?
Therefore: 9
Task: What is the ten thousands digit of 256777019?
Therefore: 7
Task: What is the tens digit of 56694?
Therefore: 9
Task: What is the millions digit of 1936755?
Therefore: 1
Task: What is the tens digit of 854180990?
Th... | english |
numbers: place value
--------------------
Test item: What is the millions digit of 2866856012?
Ans: 6
Test item: What is the thousands digit of 3002?
Ans: 3
Test item: What is the ten millions digit of 1825120592?
Ans: 2
Test item: What is the hundreds digit of 11026079?
Ans: 0
Test item: What is the hundreds digit of ... | english |
measurement: time
-----------------
Ask: How many minutes are there between 11:27 AM and 8:39 PM?
Clarification: 552
Ask: How many minutes are there between 1:39 PM and 4:32 PM?
Clarification: 173
Ask: What is 391 minutes before 9:26 PM?
Clarification: 2:55 PM
Ask: What is 136 minutes after 1:34 PM?
Clarification: 3:50... | english |
numbers: div remainder
----------------------
Situation: Calculate the remainder when 6307 is divided by 19.
Math A: 18
Situation: Calculate the remainder when 2120715 is divided by 21421.
Math A: 36
Situation: Calculate the remainder when 763795 is divided by 3807.
Math A: 2395
Situation: Calculate the remainder when ... | english |
numbers: lcm
------------
Subquestion: What is the least common multiple of 15 and 8460?
Answer: 8460
Subquestion: Find the common denominator of 133/156 and -23/36.
Answer: 468
Subquestion: What is the smallest common multiple of 169400 and 12755820?
Answer: 127558200
Subquestion: Find the common denominator of -127/5... | english |
arithmetic: nearest integer root
--------------------------------
Statement: What is 74 to the power of 1/3, to the nearest integer?
= : 4
Statement: What is 100326 to the power of 1/4, to the nearest integer?
= : 18
Statement: What is 1220 to the power of 1/2, to the nearest integer?
= : 35
Statement: What is the sixt... | english |
numbers: gcd
------------
Ask: What is the highest common divisor of 1026763 and 79?
Soln: 79
Ask: Calculate the highest common factor of 372 and 24.
Soln: 12
Ask: What is the greatest common factor of 8235 and 12062445?
Soln: 915
Ask: What is the greatest common factor of 186 and 142414?
Soln: 62
Ask: What is the high... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is 3528042 to the power of 1/2, to the nearest integer?
Eval: 1878
Ask: What is 30742 to the power of 1/2, to the nearest integer?
Eval: 175
Ask: What is 5589 to the power of 1/2, to the nearest integer?
Eval: 75
Ask: What is 29223799 to the po... | english |
numbers: place value
--------------------
What if: What is the thousands digit of 3530564?
Response: 0
What if: What is the hundreds digit of 5791?
Response: 7
What if: What is the ten thousands digit of 17382?
Response: 1
What if: What is the ten millions digit of 12087631?
Response: 1
What if: What is the ten thousan... | english |
numbers: place value
--------------------
Test item: What is the thousands digit of 27189?
Gives: 7
Test item: What is the hundred thousands digit of 49168817?
Gives: 1
Test item: What is the units digit of 58459995?
Gives: 5
Test item: What is the ten millions digit of 56804213?
Gives: 5
Test item: What is the units d... | english |
arithmetic: nearest integer root
--------------------------------
Input: What is the cube root of 71652450 to the nearest integer?
Result: 415
Input: What is the square root of 336804 to the nearest integer?
Result: 580
Input: What is 3528488 to the power of 1/2, to the nearest integer?
Result: 1878
Input: What is 1294... | english |
measurement: conversion
-----------------------
Part A: What is 37/5 of a litre in millilitres?
Yields: 7400
Part A: How many millilitres are there in 3/25 of a litre?
Yields: 120
Part A: Convert 39464.65 weeks to minutes.
Yields: 397803672
Part A: How many millennia are there in 307861.5 centuries?
Yields: 30786.15
Pa... | english |
numbers: is prime
-----------------
Problem: Is 1248193 a composite number?
Response: False
Problem: Is 3024533 a prime number?
Response: True
Problem: Is 1141319 prime?
Response: True
Problem: Is 5291921 composite?
Response: True
Problem: Is 22618479629 prime?
Response: False
Problem: Is 1215514931 a composite number?... | english |
measurement: conversion
-----------------------
Qn: What is one quarter of a litre in millilitres?
Calculation: 250
Qn: What is 109.1281 hours in milliseconds?
Calculation: 392861160
Qn: How many millimeters are there in 3/40 of a meter?
Calculation: 75
Qn: How many years are there in 7/2 of a millennium?
Calculation: ... | english |
numbers: is factor
------------------
Problem: Is 509515923 a multiple of 132?
Resolution: False
Problem: Is 72927410 a multiple of 2078?
Resolution: True
Problem: Is 45 a factor of 11289420?
Resolution: True
Problem: Is 140650 a multiple of 6?
Resolution: False
Problem: Is 172 a factor of 2448936?
Resolution: True
Pro... | english |
numbers: place value
--------------------
Q: What is the tens digit of 69306?
Reply: 0
Q: What is the hundreds digit of 858432?
Reply: 4
Q: What is the hundreds digit of 392?
Reply: 3
Q: What is the thousands digit of 1336?
Reply: 1
Q: What is the tens digit of 1315654197?
Reply: 9
Q: What is the billions digit of 5018... | english |
probability: swr p level set
----------------------------
Puzzle: Calculate prob of picking 3 x when three letters picked without replacement from vxxuvxxxxuxxxvx.
Conclusion: 24/91
Puzzle: What is prob of picking 3 c when three letters picked without replacement from aaaaaaacaccacacaaa?
Conclusion: 5/408
Puzzle: Calcu... | english |
measurement: time
-----------------
Problem: How many minutes are there between 2:02 PM and 10:46 PM?
Output: 524
Problem: How many minutes are there between 4:00 AM and 9:15 AM?
Output: 315
Problem: What is 710 minutes before 7:52 AM?
Output: 8:02 PM
Problem: What is 646 minutes before 3:25 AM?
Output: 4:39 PM
Problem... | english |
numbers: div remainder
----------------------
Scenario: What is the remainder when 9382016 is divided by 25564?
Derivation: 28
Scenario: What is the remainder when 42 is divided by 34?
Derivation: 8
Scenario: What is the remainder when 363838 is divided by 90842?
Derivation: 470
Scenario: What is the remainder when 322... | english |
numbers: is prime
-----------------
Task: Is 66142183 a composite number?
Answer: False
Task: Is 4670477 prime?
Answer: False
Task: Is 46162 prime?
Answer: False
Task: Is 27533228845 a prime number?
Answer: False
Task: Is 505811 composite?
Answer: False
Task: Is 135103 a prime number?
Answer: False
Task: Is 32313080561... | english |
probability: swr p level set
----------------------------
Subject: Two letters picked without replacement from xxrnffxxfxbnffnxf. What is prob of picking 1 b and 1 r?
Answer: 1/136
Subject: What is prob of picking 1 r and 1 b when two letters picked without replacement from rrbbbbbb?
Answer: 3/7
Subject: Four letters p... | english |
numbers: place value
--------------------
Task: What is the tens digit of 11285636?
Response: 3
Task: What is the units digit of 84?
Response: 4
Task: What is the thousands digit of 1808987050?
Response: 7
Task: What is the thousands digit of 311149781?
Response: 9
Task: What is the units digit of 2095?
Response: 5
Tas... | english |
numbers: place value
--------------------
Ask: What is the millions digit of 346014418?
Sol: 6
Ask: What is the ten thousands digit of 510883?
Sol: 1
Ask: What is the thousands digit of 920410616?
Sol: 0
Ask: What is the units digit of 1465?
Sol: 5
Ask: What is the tens digit of 2967830?
Sol: 3
Ask: What is the thousan... | english |
numbers: gcd
------------
Task: What is the greatest common factor of 1860 and 498015?
Workthrough: 465
Task: Calculate the greatest common factor of 68 and 16166674.
Workthrough: 2
Task: What is the highest common divisor of 252 and 364?
Workthrough: 28
Task: What is the highest common factor of 20 and 50780?
Workthro... | english |
probability: swr p sequence
---------------------------
Query: Four letters picked without replacement from uzzzzaaazzuazaz. What is prob of sequence zauz?
Thus: 2/117
Query: Three letters picked without replacement from uvtwdcttvvtvuvd. Give prob of sequence utd.
Thus: 8/1365
Query: Two letters picked without replacem... | english |
arithmetic: nearest integer root
--------------------------------
Given: What is the seventh root of 11964 to the nearest integer?
Final Answer: 4
Given: What is the third root of 7023 to the nearest integer?
Final Answer: 19
Given: What is the ninth root of 133814 to the nearest integer?
Final Answer: 4
Given: What is... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is 11193 to the power of 1/3, to the nearest integer?
Solution: 22
Example: What is 850522569 to the power of 1/2, to the nearest integer?
Solution: 29164
Example: What is the cube root of 894928 to the nearest integer?
Solution: 96
Example... | english |
numbers: is prime
-----------------
Problem #: Is 2517317 composite?
Solution: True
Problem #: Is 31247122861 a prime number?
Solution: True
Problem #: Is 93043173 prime?
Solution: False
Problem #: Is 23215 prime?
Solution: False
Problem #: Is 482437 composite?
Solution: False
Problem #: Is 122921 a prime number?
Solut... | english |
numbers: gcd
------------
Q=: Calculate the highest common factor of 245 and 30.
Soln: 5
Q=: What is the highest common divisor of 10314 and 148014?
Soln: 54
Q=: Calculate the greatest common factor of 7664252 and 1912.
Soln: 956
Q=: Calculate the greatest common factor of 55 and 65.
Soln: 5
Q=: What is the greatest co... | english |
measurement: time
-----------------
Part A: How many minutes are there between 9:51 AM and 1:57 PM?
Sol: 246
Part A: What is 39 minutes after 7:03 PM?
Sol: 7:42 PM
Part A: How many minutes are there between 9:34 AM and 8:46 PM?
Sol: 672
Part A: How many minutes are there between 2:48 AM and 11:12 AM?
Sol: 504
Part A: H... | english |
probability: swr p level set
----------------------------
Q.: What is prob of picking 3 m when three letters picked without replacement from wwwmmwwwwwwwwwwmmw?
A: 1/204
Q.: Two letters picked without replacement from hhhlhhvlhvh. Give prob of picking 2 h.
A: 21/55
Q.: What is prob of picking 2 m when two letters picke... | english |
measurement: conversion
-----------------------
Challenge: How many kilograms are there in 6/25 of a tonne?
Outcome: 240
Challenge: How many years are there in twenty-five quarters of a millennium?
Outcome: 6250
Challenge: What is 12701.31 litres in millilitres?
Outcome: 12701310
Challenge: What is 0.5575597m in nanome... | english |
numbers: is factor
------------------
Issue: Does 75 divide 158873328?
Clarification: False
Issue: Is 29 a factor of 812?
Clarification: True
Issue: Is 64904 even?
Clarification: True
Issue: Is 437801 a multiple of 5?
Clarification: False
Issue: Does 1574 divide 880072373?
Clarification: False
Issue: Is 871373 a multip... | english |
measurement: conversion
-----------------------
Q: What is eighteen fifths of a millimeter in micrometers?
Result: 3600
Q: How many millilitres are there in seven quarters of a litre?
Result: 1750
Q: What is 59899.63 weeks in nanoseconds?
Result: 36227296224000000000
Q: What is fifty-nine fifths of a millisecond in mic... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 2521419 is divided by 26?
Final Answer: 17
Example: Calculate the remainder when 1197 is divided by 301.
Final Answer: 294
Example: Calculate the remainder when 6853 is divided by 316.
Final Answer: 217
Example: What is the remainder when... | english |
numbers: div remainder
----------------------
Example: Calculate the remainder when 10078 is divided by 360.
Eval: 358
Example: Calculate the remainder when 3960273 is divided by 8444.
Eval: 37
Example: Calculate the remainder when 453 is divided by 38.
Eval: 35
Example: Calculate the remainder when 10410760 is divided... | english |
numbers: is prime
-----------------
Problem Statement: Is 17045209 a prime number?
A: True
Problem Statement: Is 61285143913 a composite number?
A: True
Problem Statement: Is 24599 a prime number?
A: False
Problem Statement: Is 298672981 prime?
A: True
Problem Statement: Is 48043291 prime?
A: False
Problem Statement: I... | english |
probability: swr p sequence
---------------------------
Problem: Four letters picked without replacement from {q: 3, h: 3, i: 2}. What is prob of sequence hiqh?
Eval: 3/140
Problem: Calculate prob of sequence zzwz when four letters picked without replacement from zzwzzzzzwzzzzzw.
Eval: 11/91
Problem: Two letters picked... | english |
numbers: lcm
------------
Problem #: Calculate the smallest common multiple of 1736 and 104.
Derivation: 22568
Problem #: What is the common denominator of 53/16389995 and 18/22945993?
Derivation: 114729965
Problem #: Calculate the smallest common multiple of 17372 and 18.
Derivation: 156348
Problem #: Find the common ... | english |
measurement: time
-----------------
Qn: What is 296 minutes before 12:05 PM?
Answer: 7:09 AM
Qn: What is 40 minutes after 3:32 PM?
Answer: 4:12 PM
Qn: What is 391 minutes before 5:31 PM?
Answer: 11:00 AM
Qn: What is 714 minutes before 9:38 PM?
Answer: 9:44 AM
Qn: What is 595 minutes before 5:27 PM?
Answer: 7:32 AM
Qn: ... | english |
arithmetic: nearest integer root
--------------------------------
Item: What is the third root of 8400 to the nearest integer?
Answer: 20
Item: What is the square root of 2344 to the nearest integer?
Answer: 48
Item: What is the tenth root of 6747908684 to the nearest integer?
Answer: 10
Item: What is 47115 to the powe... | english |
probability: swr p sequence
---------------------------
Let: Two letters picked without replacement from {w: 4, c: 5, u: 1, r: 2, o: 2}. What is prob of sequence uo?
Eval: 1/91
Let: Four letters picked without replacement from vvsjrcv. What is prob of sequence jvcv?
Eval: 1/140
Let: Calculate prob of sequence xssv when... | english |
probability: swr p level set
----------------------------
Q-: Two letters picked without replacement from {v: 2, i: 3, b: 6, n: 1, r: 6}. What is prob of picking 2 b?
Math A: 5/51
Q-: Three letters picked without replacement from aatxtxaxwawaa. Give prob of picking 1 a and 2 x.
Math A: 9/143
Q-: What is prob of picking... | english |
measurement: time
-----------------
Subquestion: What is 359 minutes after 2:39 PM?
Result: 8:38 PM
Subquestion: What is 496 minutes before 12:57 AM?
Result: 4:41 PM
Subquestion: What is 391 minutes before 6:08 PM?
Result: 11:37 AM
Subquestion: What is 708 minutes before 12:46 AM?
Result: 12:58 PM
Subquestion: How many... | english |
numbers: is prime
-----------------
Task: Is 380927 a composite number?
Therefore: True
Task: Is 95886563 a composite number?
Therefore: True
Task: Is 5430361 a composite number?
Therefore: True
Task: Is 1246991 composite?
Therefore: True
Task: Is 383404753 prime?
Therefore: False
Task: Is 32641 a composite number?
The... | english |
probability: swr p level set
----------------------------
Step: Four letters picked without replacement from {c: 7, u: 3}. What is prob of picking 1 c and 3 u?
Explanation: 1/30
Step: What is prob of picking 3 x and 1 b when four letters picked without replacement from xxxxxbxbbxxxbbxbxxx?
Explanation: 143/323
Step: Ca... | english |
probability: swr p level set
----------------------------
What if: What is prob of picking 1 r, 1 u, and 1 x when three letters picked without replacement from {u: 3, k: 5, r: 4, x: 1}?
Final Answer: 6/143
What if: Three letters picked without replacement from isfwmuis. Give prob of picking 1 f and 2 i.
Final Answer: 1... | english |
probability: swr p sequence
---------------------------
Situation: Three letters picked without replacement from uruqvrrvvqqququvuuq. What is prob of sequence ruq?
Derivation: 6/323
Situation: What is prob of sequence mm when two letters picked without replacement from mmmmdmd?
Derivation: 10/21
Situation: Two letters ... | english |
numbers: place value
--------------------
Qn: What is the ten millions digit of 2220505952?
Fix: 2
Qn: What is the units digit of 771300494?
Fix: 4
Qn: What is the tens digit of 275240?
Fix: 4
Qn: What is the thousands digit of 1247?
Fix: 1
Qn: What is the hundred thousands digit of 4630711?
Fix: 6
Qn: What is the mill... | english |
numbers: div remainder
----------------------
Input: Calculate the remainder when 6181711 is divided by 386355.
Reply: 31
Input: What is the remainder when 1167055 is divided by 16209?
Reply: 7
Input: What is the remainder when 63215 is divided by 191?
Reply: 185
Input: Calculate the remainder when 427944 is divided by... | english |
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