text stringlengths 256 2k | language stringclasses 2
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numbers: div remainder
----------------------
Task: What is the remainder when 71074 is divided by 421?
Answer: 346
Task: What is the remainder when 81165469 is divided by 393?
Answer: 358
Task: Calculate the remainder when 2264 is divided by 84.
Answer: 80
Task: Calculate the remainder when 1340860 is divided by 19432... | english |
measurement: time
-----------------
Math Problem: How many minutes are there between 8:00 PM and 3:08 AM?
Soln: 428
Math Problem: How many minutes are there between 1:53 AM and 1:11 PM?
Soln: 678
Math Problem: What is 414 minutes after 7:50 PM?
Soln: 2:44 AM
Math Problem: How many minutes are there between 1:28 PM and ... | english |
numbers: place value
--------------------
Request: What is the hundred thousands digit of 7045752?
Eval: 0
Request: What is the hundreds digit of 938?
Eval: 9
Request: What is the hundreds digit of 1154362?
Eval: 3
Request: What is the millions digit of 53964002?
Eval: 3
Request: What is the thousands digit of 19822942... | english |
numbers: gcd
------------
Statement: Calculate the highest common divisor of 656 and 82.
= : 82
Statement: What is the greatest common divisor of 36 and 3474?
= : 18
Statement: What is the greatest common factor of 395994 and 372?
= : 186
Statement: Calculate the highest common divisor of 1025 and 41.
= : 41
Statement:... | english |
numbers: place value
--------------------
Step: What is the thousands digit of 456657?
A: 6
Step: What is the hundred thousands digit of 288739?
A: 2
Step: What is the units digit of 491426?
A: 6
Step: What is the units digit of 6414691?
A: 1
Step: What is the units digit of 529566156?
A: 6
Step: What is the ten thousa... | english |
numbers: is prime
-----------------
Math Problem: Is 43101351707 a prime number?
Solution: False
Math Problem: Is 1879753 prime?
Solution: False
Math Problem: Is 98553652751 composite?
Solution: True
Math Problem: Is 8648501 a composite number?
Solution: False
Math Problem: Is 203523035 composite?
Solution: True
Math P... | english |
numbers: lcm
------------
Subquestion: Calculate the common denominator of -11/8 and -43/2340.
Conclusion: 4680
Subquestion: Calculate the smallest common multiple of 99 and 45.
Conclusion: 495
Subquestion: Calculate the common denominator of 79/3980 and -71/66068.
Conclusion: 330340
Subquestion: What is the smallest c... | english |
numbers: place value
--------------------
Q=: What is the tens digit of 9607?
Response: 0
Q=: What is the ten millions digit of 234573338?
Response: 3
Q=: What is the hundred thousands digit of 6139227?
Response: 1
Q=: What is the hundred thousands digit of 1155218?
Response: 1
Q=: What is the millions digit of 1773779... | english |
probability: swr p sequence
---------------------------
Example: Four letters picked without replacement from {z: 3, k: 6, n: 5, r: 1}. Give prob of sequence rzkk.
Ans: 1/364
Example: Calculate prob of sequence ivvb when four letters picked without replacement from {r: 2, f: 3, v: 2, i: 3, j: 7, b: 1}.
Ans: 1/12240
Exa... | english |
numbers: is factor
------------------
Conundrum: Is 85526 a multiple of 131?
Eval: False
Conundrum: Does 21 divide 427?
Eval: False
Conundrum: Is 15 a factor of 6632666?
Eval: False
Conundrum: Is 35 a factor of 852736?
Eval: False
Conundrum: Does 29 divide 180539?
Eval: False
Conundrum: Is 18 a factor of 21?
Eval: Fals... | english |
measurement: conversion
-----------------------
Q: How many nanometers are there in 6/25 of a micrometer?
Sol: 240
Q: What is 2395.6917 months in millennia?
Sol: 0.199640975
Q: What is 7.659195 years in decades?
Sol: 0.7659195
Q: What is 5/4 of a meter in millimeters?
Sol: 1250
Q: What is 1/4 of a litre in millilitres?... | english |
probability: swr p sequence
---------------------------
Step: Two letters picked without replacement from cqqgdggcqqcpdzpd. Give prob of sequence gc.
Fix: 3/80
Step: Calculate prob of sequence ilne when four letters picked without replacement from ccnecliccccencee.
Fix: 1/5460
Step: Four letters picked without replacem... | english |
numbers: is factor
------------------
Topic: Is 167124791 a multiple of 67?
Explanation: False
Topic: Is 47 a factor of 52692?
Explanation: False
Topic: Does 160 divide 24545398?
Explanation: False
Topic: Is 4980 a multiple of 83?
Explanation: True
Topic: Is 181 a factor of 62318880?
Explanation: False
Topic: Is 51 a f... | english |
numbers: gcd
------------
Inquiry: What is the highest common divisor of 1585216 and 1579388?
Solution: 5828
Inquiry: Calculate the greatest common factor of 250 and 1625.
Solution: 125
Inquiry: What is the highest common factor of 240895 and 75?
Solution: 5
Inquiry: Calculate the highest common divisor of 148909255 an... | english |
measurement: time
-----------------
Problem Statement: What is 283 minutes after 2:31 PM?
Conclusion: 7:14 PM
Problem Statement: How many minutes are there between 7:19 PM and 9:55 PM?
Conclusion: 156
Problem Statement: What is 623 minutes before 12:42 AM?
Conclusion: 2:19 PM
Problem Statement: What is 439 minutes afte... | english |
probability: swr p sequence
---------------------------
Q): Calculate prob of sequence rbo when three letters picked without replacement from robpk.
Yields: 1/60
Q): Four letters picked without replacement from {x: 4, a: 3}. What is prob of sequence xxax?
Yields: 3/35
Q): Three letters picked without replacement from c... | english |
numbers: is prime
-----------------
Problem: Is 219389543 prime?
Steps: True
Problem: Is 4176571 prime?
Steps: False
Problem: Is 19730747 composite?
Steps: False
Problem: Is 1227423233 a prime number?
Steps: False
Problem: Is 10167 a composite number?
Steps: True
Problem: Is 186111047 a composite number?
Steps: True
Pr... | english |
numbers: is prime
-----------------
Scenario: Is 1891931 a prime number?
Steps: False
Scenario: Is 11602319 a composite number?
Steps: False
Scenario: Is 1074833 a composite number?
Steps: False
Scenario: Is 65022857 composite?
Steps: True
Scenario: Is 45307 composite?
Steps: False
Scenario: Is 7286883677 a composite n... | english |
numbers: is prime
-----------------
Exercise: Is 1264072757 a prime number?
Eval: False
Exercise: Is 983869853 a prime number?
Eval: True
Exercise: Is 119442593 prime?
Eval: True
Exercise: Is 7426812427 composite?
Eval: False
Exercise: Is 7371823 a prime number?
Eval: False
Exercise: Is 10901 a prime number?
Eval: Fals... | english |
numbers: is prime
-----------------
Task: Is 2904079 composite?
Calculation: True
Task: Is 53849267 a composite number?
Calculation: False
Task: Is 34518747793 composite?
Calculation: True
Task: Is 66479753 a composite number?
Calculation: False
Task: Is 24250963667 composite?
Calculation: True
Task: Is 671563927 prime... | english |
numbers: is factor
------------------
Example: Is 379251980 a multiple of 212?
Derivation: False
Example: Is 28705502 a multiple of 122?
Derivation: True
Example: Is 201787 a multiple of 316?
Derivation: False
Example: Is 852 a factor of 1094234?
Derivation: False
Example: Does 6 divide 6645500?
Derivation: False
Examp... | english |
probability: swr p sequence
---------------------------
Ask: What is prob of sequence aa when two letters picked without replacement from aaxxaayaxaab?
Eval: 7/22
Ask: Four letters picked without replacement from {q: 1, x: 4, e: 5}. What is prob of sequence eqxe?
Eval: 1/63
Ask: Calculate prob of sequence mssg when fou... | english |
numbers: gcd
------------
Item: Calculate the greatest common factor of 1332 and 36.
Math A: 36
Item: What is the highest common divisor of 410 and 30?
Math A: 10
Item: Calculate the greatest common divisor of 311 and 230140.
Math A: 311
Item: Calculate the greatest common divisor of 378 and 49.
Math A: 7
Item: Calcula... | english |
numbers: is prime
-----------------
Subquestion: Is 23545441 a composite number?
Yields: False
Subquestion: Is 6469 prime?
Yields: True
Subquestion: Is 780173 a composite number?
Yields: False
Subquestion: Is 2544195547 composite?
Yields: False
Subquestion: Is 227035509377 prime?
Yields: True
Subquestion: Is 2682307 pr... | english |
arithmetic: nearest integer root
--------------------------------
Puzzle: What is the fifth root of 670996518 to the nearest integer?
A: 58
Puzzle: What is 33474 to the power of 1/4, to the nearest integer?
A: 14
Puzzle: What is 133752524 to the power of 1/9, to the nearest integer?
A: 8
Puzzle: What is 54371096 to the... | english |
numbers: is factor
------------------
Scenario: Is 2090 a factor of 16915615?
Response: False
Scenario: Is 13300404 a multiple of 78?
Response: True
Scenario: Is 32395 a multiple of 11?
Response: True
Scenario: Does 11 divide 1457?
Response: False
Scenario: Is 37 a factor of 208384?
Response: True
Scenario: Is 91365 a ... | english |
probability: swr p sequence
---------------------------
Math Q: Two letters picked without replacement from {o: 5, k: 4, i: 8, g: 1}. What is prob of sequence io?
Explanation: 20/153
Math Q: Two letters picked without replacement from frbbilifj. Give prob of sequence lb.
Explanation: 1/36
Math Q: Four letters picked wi... | english |
numbers: is factor
------------------
Math Problem: Is 273 a factor of 930536?
Eval: False
Math Problem: Is 17 a factor of 200481?
Eval: True
Math Problem: Is 68796305 a multiple of 43?
Eval: False
Math Problem: Is 33 a factor of 10791?
Eval: True
Math Problem: Is 75 a factor of 3296192?
Eval: False
Math Problem: Is 6 ... | english |
probability: swr p level set
----------------------------
Situation: Calculate prob of picking 2 c when two letters picked without replacement from {j: 1, r: 2, c: 3, s: 1, b: 12}.
Steps: 1/57
Situation: Two letters picked without replacement from {c: 2, b: 4, o: 6, f: 1}. Give prob of picking 1 c and 1 o.
Steps: 2/13
... | english |
numbers: div remainder
----------------------
Given: Calculate the remainder when 2102 is divided by 39.
Key: 35
Given: Calculate the remainder when 473994 is divided by 237.
Key: 231
Given: What is the remainder when 1307235 is divided by 102?
Key: 3
Given: Calculate the remainder when 34331 is divided by 1397.
Key: 8... | english |
numbers: gcd
------------
Part A: Calculate the greatest common divisor of 3304525 and 230.
Outcome: 115
Part A: Calculate the highest common factor of 35682 and 4.
Outcome: 2
Part A: What is the highest common divisor of 61 and 4026?
Outcome: 61
Part A: What is the greatest common factor of 127665 and 1637505?
Outcome... | english |
measurement: time
-----------------
Ask: What is 67 minutes after 5:49 AM?
Soln: 6:56 AM
Ask: How many minutes are there between 8:39 AM and 9:50 AM?
Soln: 71
Ask: What is 535 minutes before 5:57 PM?
Soln: 9:02 AM
Ask: What is 355 minutes after 12:30 PM?
Soln: 6:25 PM
Ask: What is 204 minutes after 12:01 PM?
Soln: 3:25... | english |
measurement: time
-----------------
Input: How many minutes are there between 8:31 PM and 6:16 AM?
Resolution: 585
Input: How many minutes are there between 1:34 PM and 4:30 PM?
Resolution: 176
Input: How many minutes are there between 1:16 AM and 5:11 AM?
Resolution: 235
Input: What is 127 minutes before 9:54 AM?
Reso... | english |
numbers: div remainder
----------------------
Task: Calculate the remainder when 65569 is divided by 1042.
Result: 965
Task: Calculate the remainder when 1542 is divided by 119.
Result: 114
Task: Calculate the remainder when 11 is divided by 10.
Result: 1
Task: What is the remainder when 13048109 is divided by 6?
Resul... | english |
numbers: is prime
-----------------
Exercise: Is 1357661 a composite number?
Calculation: False
Exercise: Is 41419958 a prime number?
Calculation: False
Exercise: Is 4152529801 a prime number?
Calculation: False
Exercise: Is 10905557 a composite number?
Calculation: True
Exercise: Is 2136580393 composite?
Calculation: ... | english |
numbers: is factor
------------------
Problem: Is 13 a factor of 19331?
Resolution: True
Problem: Is 40 a factor of 1916280?
Resolution: True
Problem: Is 270 a factor of 541079398?
Resolution: False
Problem: Is 1107 a multiple of 123?
Resolution: True
Problem: Is 295 a multiple of 59?
Resolution: True
Problem: Does 7 d... | english |
probability: swr p sequence
---------------------------
Topic: Four letters picked without replacement from jjccjncccjjcnjccjc. Give prob of sequence ncnc.
Gives: 1/510
Topic: Two letters picked without replacement from {q: 2, p: 1, c: 1}. What is prob of sequence qp?
Gives: 1/6
Topic: Calculate prob of sequence zt whe... | english |
probability: swr p sequence
---------------------------
Conundrum: Three letters picked without replacement from qqbqbbqbbq. What is prob of sequence bqb?
A: 5/36
Conundrum: Calculate prob of sequence dm when two letters picked without replacement from {m: 1, n: 7, d: 1, r: 4}.
A: 1/156
Conundrum: What is prob of seque... | english |
numbers: gcd
------------
Problem: What is the greatest common factor of 18284 and 23044?
Output: 28
Problem: What is the greatest common divisor of 96400 and 107809904?
Output: 3856
Problem: Calculate the greatest common factor of 244 and 1403.
Output: 61
Problem: Calculate the highest common factor of 15 and 5.
Outpu... | english |
numbers: place value
--------------------
Problem: What is the units digit of 87604?
Workthrough: 4
Problem: What is the thousands digit of 280417?
Workthrough: 0
Problem: What is the millions digit of 3057977?
Workthrough: 3
Problem: What is the hundred millions digit of 2989935126?
Workthrough: 9
Problem: What is the... | english |
numbers: place value
--------------------
Step: What is the units digit of 858351399?
Result: 9
Step: What is the tens digit of 845?
Result: 4
Step: What is the hundreds digit of 721?
Result: 7
Step: What is the units digit of 215390660?
Result: 0
Step: What is the ten thousands digit of 163783?
Result: 6
Step: What is... | english |
numbers: place value
--------------------
Topic: What is the hundreds digit of 14831105?
Gives: 1
Topic: What is the units digit of 3424?
Gives: 4
Topic: What is the ten thousands digit of 66798?
Gives: 6
Topic: What is the thousands digit of 39877432?
Gives: 7
Topic: What is the tens digit of 8173881?
Gives: 8
Topic: ... | english |
numbers: div remainder
----------------------
Math Problem: Calculate the remainder when 665 is divided by 178.
Outcome: 131
Math Problem: Calculate the remainder when 181 is divided by 69.
Outcome: 43
Math Problem: Calculate the remainder when 1644 is divided by 27.
Outcome: 24
Math Problem: Calculate the remainder wh... | english |
probability: swr p level set
----------------------------
Test item: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from miioxqj.
Conclusion: 1/21
Test item: Four letters picked without replacement from {p: 2, r: 16}. What is prob of picking 4 r?
Conclusion: 91/153
Test item: Calculat... | english |
probability: swr p level set
----------------------------
Task: Calculate prob of picking 1 a and 3 r when four letters picked without replacement from kteeaaaaker.
Sol: 0
Task: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {z: 1, l: 1, v: 7}.
Sol: 7/36
Task: Calculate prob of p... | english |
probability: swr p sequence
---------------------------
Request: Calculate prob of sequence wwww when four letters picked without replacement from wwwww.
Solution: 1
Request: Three letters picked without replacement from {t: 1, h: 1, m: 1, y: 1, e: 1, g: 12}. Give prob of sequence emh.
Solution: 1/4080
Request: Four le... | english |
arithmetic: nearest integer root
--------------------------------
Test item: What is the third root of 5517 to the nearest integer?
Final Answer: 18
Test item: What is the ninth root of 12221667 to the nearest integer?
Final Answer: 6
Test item: What is 52789 to the power of 1/6, to the nearest integer?
Final Answer: 6... | english |
numbers: place value
--------------------
What if: What is the hundreds digit of 194?
Sol: 1
What if: What is the units digit of 1185373724?
Sol: 4
What if: What is the hundred thousands digit of 3259732800?
Sol: 7
What if: What is the hundreds digit of 865?
Sol: 8
What if: What is the thousands digit of 7233?
Sol: 7
W... | english |
numbers: gcd
------------
Q=: What is the highest common divisor of 98 and 5306?
Workthrough: 14
Q=: What is the greatest common factor of 4125144 and 216?
Workthrough: 24
Q=: What is the greatest common divisor of 918 and 207?
Workthrough: 9
Q=: What is the greatest common divisor of 292636 and 3928?
Workthrough: 1964... | english |
measurement: conversion
-----------------------
Conundrum: How many months are there in 1/4 of a millennium?
Outcome: 3000
Conundrum: How many meters are there in 0.2670313nm?
Outcome: 0.0000000002670313
Conundrum: What is 25.014094 days in weeks?
Outcome: 3.573442
Conundrum: What is fifty-nine quarters of a kilogram i... | english |
measurement: time
-----------------
Let: What is 223 minutes before 12:48 PM?
Eval: 9:05 AM
Let: How many minutes are there between 8:31 PM and 8:33 PM?
Eval: 2
Let: How many minutes are there between 12:17 AM and 2:23 AM?
Eval: 126
Let: How many minutes are there between 4:18 AM and 9:31 AM?
Eval: 313
Let: What is 127... | english |
probability: swr p sequence
---------------------------
Inquiry: Four letters picked without replacement from {j: 2, f: 6, n: 10}. Give prob of sequence njnj.
Solution: 1/408
Inquiry: What is prob of sequence ool when three letters picked without replacement from {l: 2, f: 2, o: 1, b: 4}?
Solution: 0
Inquiry: What is p... | english |
probability: swr p level set
----------------------------
Prompt: What is prob of picking 2 l and 1 r when three letters picked without replacement from {g: 2, l: 2, x: 2, r: 7, i: 4}?
Derivation: 7/680
Prompt: What is prob of picking 3 r and 1 y when four letters picked without replacement from tztxrrbxbzxzryr?
Deriva... | english |
numbers: is prime
-----------------
Example: Is 1356755 prime?
Eval: False
Example: Is 1032943 prime?
Eval: True
Example: Is 3451871 a prime number?
Eval: True
Example: Is 128370097 prime?
Eval: True
Example: Is 1851038773 prime?
Eval: True
Example: Is 103067 a composite number?
Eval: False
Example: Is 24152759 prime?
... | english |
probability: swr p sequence
---------------------------
Statement: Two letters picked without replacement from {t: 2, j: 1}. What is prob of sequence tj?
Eval: 1/3
Statement: Two letters picked without replacement from {q: 3, w: 3, o: 1, r: 1, u: 2}. What is prob of sequence rq?
Eval: 1/30
Statement: Calculate prob of ... | english |
numbers: is prime
-----------------
Problem Statement: Is 3891 composite?
Ans: True
Problem Statement: Is 9428671 a composite number?
Ans: True
Problem Statement: Is 64481 a composite number?
Ans: True
Problem Statement: Is 1193522761 a composite number?
Ans: True
Problem Statement: Is 16811 prime?
Ans: True
Problem St... | english |
probability: swr p level set
----------------------------
Prompt: Two letters picked without replacement from qjjjwwxwjwx. What is prob of picking 1 w and 1 j?
Finding: 16/55
Prompt: Four letters picked without replacement from tttt. What is prob of picking 4 t?
Finding: 1
Prompt: Calculate prob of picking 1 a and 3 j ... | english |
numbers: gcd
------------
Request: Calculate the highest common factor of 5978 and 196.
Resolution: 98
Request: What is the highest common factor of 232 and 88?
Resolution: 8
Request: Calculate the highest common divisor of 30160 and 32.
Resolution: 16
Request: What is the highest common factor of 217827050 and 2646?
R... | english |
probability: swr p level set
----------------------------
Query: Three letters picked without replacement from {e: 2, j: 1, p: 2, a: 1, v: 1, t: 1}. What is prob of picking 2 p and 1 j?
Workthrough: 1/56
Query: Calculate prob of picking 1 q, 2 t, and 1 j when four letters picked without replacement from qjmqgqttjjggqgq... | english |
arithmetic: nearest integer root
--------------------------------
Problem: What is the square root of 8094 to the nearest integer?
Resolution: 90
Problem: What is 1775600085 to the power of 1/2, to the nearest integer?
Resolution: 42138
Problem: What is 782854514 to the power of 1/9, to the nearest integer?
Resolution:... | english |
numbers: place value
--------------------
Item: What is the units digit of 535?
Clarification: 5
Item: What is the hundreds digit of 1306?
Clarification: 3
Item: What is the units digit of 98222?
Clarification: 2
Item: What is the units digit of 224204049?
Clarification: 9
Item: What is the ten thousands digit of 14195... | english |
numbers: div remainder
----------------------
Given: Calculate the remainder when 4006 is divided by 19.
Yields: 16
Given: Calculate the remainder when 31816608 is divided by 1495.
Yields: 18
Given: What is the remainder when 16631765 is divided by 529?
Yields: 5
Given: What is the remainder when 104324 is divided by 1... | english |
probability: swr p sequence
---------------------------
Challenge: Four letters picked without replacement from {c: 9, i: 10}. Give prob of sequence ciii.
Calculation: 45/646
Challenge: What is prob of sequence wt when two letters picked without replacement from wwwwtmwwmw?
Calculation: 7/90
Challenge: Calculate prob o... | english |
measurement: time
-----------------
Problem Statement: What is 250 minutes after 5:33 AM?
Explanation: 9:43 AM
Problem Statement: What is 501 minutes after 10:59 PM?
Explanation: 7:20 AM
Problem Statement: What is 56 minutes before 7:21 AM?
Explanation: 6:25 AM
Problem Statement: How many minutes are there between 6:48... | english |
arithmetic: nearest integer root
--------------------------------
Qn: What is the square root of 20322 to the nearest integer?
Sol: 143
Qn: What is 123583385 to the power of 1/9, to the nearest integer?
Sol: 8
Qn: What is the cube root of 11339774 to the nearest integer?
Sol: 225
Qn: What is the sixth root of 283693072... | english |
arithmetic: nearest integer root
--------------------------------
Math Problem: What is 9281 to the power of 1/2, to the nearest integer?
Fix: 96
Math Problem: What is 100 to the power of 1/2, to the nearest integer?
Fix: 10
Math Problem: What is 34541 to the power of 1/7, to the nearest integer?
Fix: 4
Math Problem: W... | english |
measurement: conversion
-----------------------
Scenario: Convert 638737.2 weeks to seconds.
Answer: 386308258560
Scenario: How many microseconds are there in 51.82956ms?
Answer: 51829.56
Scenario: How many milliseconds are there in 54.53848 minutes?
Answer: 3272308.8
Scenario: What is 0.9027823 centuries in millennia?... | english |
measurement: time
-----------------
Task: How many minutes are there between 6:59 AM and 12:14 PM?
Ans: 315
Task: What is 620 minutes after 10:23 AM?
Ans: 8:43 PM
Task: How many minutes are there between 5:39 AM and 4:23 PM?
Ans: 644
Task: How many minutes are there between 12:25 AM and 12:58 AM?
Ans: 33
Task: How many... | english |
measurement: time
-----------------
Input: How many minutes are there between 4:24 AM and 12:03 PM?
Ans: 459
Input: What is 445 minutes after 7:57 AM?
Ans: 3:22 PM
Input: What is 360 minutes after 8:46 PM?
Ans: 2:46 AM
Input: What is 439 minutes before 10:47 PM?
Ans: 3:28 PM
Input: How many minutes are there between 1:... | english |
numbers: place value
--------------------
Ask: What is the tens digit of 61238991?
Outcome: 9
Ask: What is the thousands digit of 335079470?
Outcome: 9
Ask: What is the units digit of 74227?
Outcome: 7
Ask: What is the thousands digit of 3659280211?
Outcome: 0
Ask: What is the tens digit of 589?
Outcome: 8
Ask: What is... | english |
numbers: div remainder
----------------------
Step: What is the remainder when 1655047 is divided by 4770?
Resolution: 4627
Step: Calculate the remainder when 11408 is divided by 5703.
Resolution: 2
Step: Calculate the remainder when 742243 is divided by 356.
Resolution: 339
Step: What is the remainder when 185 is divi... | english |
numbers: div remainder
----------------------
Problem Statement: Calculate the remainder when 17860804 is divided by 1582.
Yields: 24
Problem Statement: What is the remainder when 1674434 is divided by 239191?
Yields: 97
Problem Statement: Calculate the remainder when 27735 is divided by 13863.
Yields: 9
Problem Statem... | english |
probability: swr p level set
----------------------------
Example: Calculate prob of picking 2 u when two letters picked without replacement from yuffffeuayaffy.
Therefore: 1/91
Example: Three letters picked without replacement from {f: 3, o: 1, z: 6, t: 3}. What is prob of picking 1 z, 1 t, and 1 o?
Therefore: 9/143
E... | english |
measurement: conversion
-----------------------
Statement: How many millimeters are there in 88/5 of a meter?
Response: 17600
Statement: What is 5759.084 litres in millilitres?
Response: 5759084
Statement: How many millilitres are there in one quarter of a litre?
Response: 250
Statement: Convert 127877.01 months to cen... | english |
numbers: gcd
------------
Topic: What is the greatest common divisor of 458 and 2672659?
A.: 229
Topic: What is the highest common divisor of 67984 and 387149456?
A.: 9712
Topic: What is the highest common factor of 54 and 54594?
A.: 54
Topic: What is the highest common factor of 1540 and 775?
A.: 5
Topic: What is the ... | english |
numbers: is factor
------------------
Inquiry: Is 52 a factor of 285861710?
Outcome: False
Inquiry: Is 34974483 a multiple of 248?
Outcome: False
Inquiry: Does 3 divide 1987?
Outcome: False
Inquiry: Is 23530051 a multiple of 15?
Outcome: False
Inquiry: Does 31 divide 2582?
Outcome: False
Inquiry: Does 268 divide 47168?... | english |
numbers: place value
--------------------
Let: What is the thousands digit of 2913824652?
Answer: 4
Let: What is the tens digit of 11038553?
Answer: 5
Let: What is the hundreds digit of 739?
Answer: 7
Let: What is the thousands digit of 17420439?
Answer: 0
Let: What is the hundred thousands digit of 5057050?
Answer: 0
... | english |
probability: swr p level set
----------------------------
Situation: Four letters picked without replacement from {m: 7, v: 2}. What is prob of picking 4 m?
Reply: 5/18
Situation: Calculate prob of picking 3 y and 1 a when four letters picked without replacement from yaayykky.
Reply: 4/35
Situation: Two letters picked ... | english |
numbers: is prime
-----------------
Subject: Is 683959 composite?
Therefore: True
Subject: Is 6358873 a prime number?
Therefore: False
Subject: Is 394797595 a composite number?
Therefore: True
Subject: Is 48411881405 composite?
Therefore: True
Subject: Is 91627859 a prime number?
Therefore: False
Subject: Is 12800707 p... | english |
probability: swr p sequence
---------------------------
Prompt: Three letters picked without replacement from mwwmwwmmmwwmmmmmmmw. What is prob of sequence mmm?
Compute: 220/969
Prompt: Calculate prob of sequence oa when two letters picked without replacement from {a: 1, f: 2, o: 4}.
Compute: 2/21
Prompt: Two letters p... | english |
arithmetic: nearest integer root
--------------------------------
Request: What is the third root of 6489 to the nearest integer?
Interpretation: 19
Request: What is the square root of 2621068539 to the nearest integer?
Interpretation: 51196
Request: What is the cube root of 2558024 to the nearest integer?
Interpretati... | english |
measurement: conversion
-----------------------
Puzzle: What is 6380.138 meters in nanometers?
Steps: 6380138000000
Puzzle: What is seven quarters of a year in months?
Steps: 21
Puzzle: What is 19/4 of a millisecond in microseconds?
Steps: 4750
Puzzle: Convert 90798.65 milligrams to grams.
Steps: 90.79865
Puzzle: What ... | english |
numbers: place value
--------------------
Example: What is the thousands digit of 59631?
Math A: 9
Example: What is the hundreds digit of 18903?
Math A: 9
Example: What is the units digit of 1433?
Math A: 3
Example: What is the ten thousands digit of 27989?
Math A: 2
Example: What is the hundreds digit of 367448?
Math ... | english |
measurement: conversion
-----------------------
Input: What is six fifths of a meter in millimeters?
Resolution: 1200
Input: How many centimeters are there in 7/4 of a meter?
Resolution: 175
Input: How many grams are there in twenty-seven quarters of a kilogram?
Resolution: 6750
Input: What is 61170.53 micrometers in n... | english |
measurement: time
-----------------
Subquestion: What is 657 minutes before 6:34 AM?
Gives: 7:37 PM
Subquestion: What is 588 minutes before 12:41 AM?
Gives: 2:53 PM
Subquestion: What is 707 minutes before 8:54 PM?
Gives: 9:07 AM
Subquestion: How many minutes are there between 5:42 PM and 4:09 AM?
Gives: 627
Subquestion... | english |
numbers: gcd
------------
Case: What is the highest common factor of 224556 and 84?
Explanation: 12
Case: Calculate the highest common divisor of 1638 and 416808.
Explanation: 126
Case: Calculate the highest common divisor of 26 and 918515.
Explanation: 13
Case: What is the greatest common divisor of 300423 and 1677063... | english |
numbers: place value
--------------------
Test item: What is the hundred thousands digit of 432118?
Answer: 4
Test item: What is the units digit of 3053?
Answer: 3
Test item: What is the ten millions digit of 203160921?
Answer: 0
Test item: What is the units digit of 1287?
Answer: 7
Test item: What is the millions digi... | english |
numbers: div remainder
----------------------
Let us solve: Calculate the remainder when 513570 is divided by 12526.
Final Answer: 4
Let us solve: What is the remainder when 321459773 is divided by 6046?
Final Answer: 6045
Let us solve: Calculate the remainder when 19478783 is divided by 671681.
Final Answer: 34
Let us... | english |
arithmetic: nearest integer root
--------------------------------
Q=: What is 198880 to the power of 1/7, to the nearest integer?
Fix: 6
Q=: What is 227233151 to the power of 1/2, to the nearest integer?
Fix: 15074
Q=: What is 988883740 to the power of 1/9, to the nearest integer?
Fix: 10
Q=: What is the square root of... | english |
measurement: conversion
-----------------------
Let: Convert 34.70422m to centimeters.
Eval: 3470.422
Let: What is 1/5 of a century in months?
Eval: 240
Let: What is twenty-five quarters of a meter in centimeters?
Eval: 625
Let: What is fifty-seven halves of a litre in millilitres?
Eval: 28500
Let: How many decades are... | english |
probability: swr p sequence
---------------------------
Subquestion: Three letters picked without replacement from {s: 1, t: 3, a: 4}. What is prob of sequence tsa?
Solution: 1/28
Subquestion: Calculate prob of sequence ggpp when four letters picked without replacement from {g: 13, p: 6}.
Solution: 65/1292
Subquestion:... | english |
arithmetic: nearest integer root
--------------------------------
Inquiry: What is 769294740 to the power of 1/2, to the nearest integer?
Solution: 27736
Inquiry: What is the cube root of 57854913 to the nearest integer?
Solution: 387
Inquiry: What is 912140 to the power of 1/2, to the nearest integer?
Solution: 955
In... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is the cube root of 151051 to the nearest integer?
Finding: 53
Example: What is 2795566784 to the power of 1/3, to the nearest integer?
Finding: 1409
Example: What is the third root of 40477 to the nearest integer?
Finding: 34
Example: What... | english |
numbers: div remainder
----------------------
Conundrum: What is the remainder when 3323181 is divided by 1047?
Conclusion: 3
Conundrum: What is the remainder when 2357366 is divided by 3362?
Conclusion: 604
Conundrum: What is the remainder when 31318 is divided by 15514?
Conclusion: 290
Conundrum: Calculate the remain... | english |
probability: swr p sequence
---------------------------
Input: Two letters picked without replacement from {t: 5, r: 7}. What is prob of sequence tr?
Yields: 35/132
Input: Two letters picked without replacement from evmvvexvxevv. What is prob of sequence em?
Yields: 1/44
Input: What is prob of sequence dddd when four l... | english |
numbers: place value
--------------------
Query: What is the units digit of 303360957?
Outcome: 7
Query: What is the hundreds digit of 1033043312?
Outcome: 3
Query: What is the ten millions digit of 309517141?
Outcome: 0
Query: What is the hundred thousands digit of 3046405?
Outcome: 0
Query: What is the hundreds digit... | english |
probability: swr p level set
----------------------------
Task: Calculate prob of picking 3 x and 1 g when four letters picked without replacement from gggxgxggxggggxxg.
Answer: 11/182
Task: Three letters picked without replacement from kkiikknikik. Give prob of picking 1 i, 1 k, and 1 n.
Answer: 8/55
Task: Three lette... | english |
numbers: is prime
-----------------
Problem: Is 9967 prime?
Interpretation: True
Problem: Is 16381 a prime number?
Interpretation: True
Problem: Is 49390488529 prime?
Interpretation: True
Problem: Is 24890745989 prime?
Interpretation: True
Problem: Is 210674899 a prime number?
Interpretation: False
Problem: Is 53267951... | english |
measurement: time
-----------------
Scenario: How many minutes are there between 3:25 AM and 5:03 AM?
Eval: 98
Scenario: How many minutes are there between 5:29 AM and 3:28 PM?
Eval: 599
Scenario: How many minutes are there between 7:00 AM and 8:51 AM?
Eval: 111
Scenario: How many minutes are there between 5:21 PM and ... | english |
numbers: div remainder
----------------------
Challenge: What is the remainder when 31076 is divided by 80?
Hence: 36
Challenge: Calculate the remainder when 3863996 is divided by 250.
Hence: 246
Challenge: What is the remainder when 3096440 is divided by 2074?
Hence: 2032
Challenge: Calculate the remainder when 556671... | english |
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