text stringlengths 256 2k | language stringclasses 2
values |
|---|---|
numbers: place value
--------------------
Ask: What is the millions digit of 3911638?
Sol: 3
Ask: What is the ten thousands digit of 37953?
Sol: 3
Ask: What is the tens digit of 87271?
Sol: 7
Ask: What is the ten thousands digit of 1097338?
Sol: 9
Ask: What is the tens digit of 6466966?
Sol: 6
Ask: What is the tens dig... | english |
numbers: place value
--------------------
Ask: What is the tens digit of 57362336?
Resolution: 3
Ask: What is the units digit of 8623?
Resolution: 3
Ask: What is the thousands digit of 76397?
Resolution: 6
Ask: What is the hundreds digit of 251357710?
Resolution: 7
Ask: What is the tens digit of 2149131?
Resolution: 3
... | english |
numbers: place value
--------------------
Q: What is the tens digit of 833054?
Soln: 5
Q: What is the thousands digit of 139514?
Soln: 9
Q: What is the hundreds digit of 488?
Soln: 4
Q: What is the millions digit of 241302463?
Soln: 1
Q: What is the thousands digit of 33224?
Soln: 3
Q: What is the tens digit of 158402?... | english |
numbers: is prime
-----------------
Statement: Is 204749 a prime number?
Soln: True
Statement: Is 612076337 composite?
Soln: False
Statement: Is 1168205 prime?
Soln: False
Statement: Is 510437 prime?
Soln: False
Statement: Is 1247689 prime?
Soln: False
Statement: Is 4200661 a prime number?
Soln: True
Statement: Is 5206... | english |
numbers: div remainder
----------------------
Problem Statement: Calculate the remainder when 144083 is divided by 25.
Calculation: 8
Problem Statement: What is the remainder when 59 is divided by 6?
Calculation: 5
Problem Statement: Calculate the remainder when 22443 is divided by 19563.
Calculation: 2880
Problem Stat... | english |
numbers: div remainder
----------------------
Step: What is the remainder when 146692726 is divided by 801?
Response: 790
Step: What is the remainder when 277 is divided by 77?
Response: 46
Step: Calculate the remainder when 5672 is divided by 1344.
Response: 296
Step: What is the remainder when 9973797 is divided by 1... | english |
numbers: place value
--------------------
Part A: What is the tens digit of 1150650582?
Solution: 8
Part A: What is the hundred thousands digit of 13581247?
Solution: 5
Part A: What is the units digit of 6369?
Solution: 9
Part A: What is the thousands digit of 192280?
Solution: 2
Part A: What is the millions digit of 2... | english |
numbers: is factor
------------------
Problem: Is 34 a factor of 687?
Yields: False
Problem: Does 7 divide 2059?
Yields: False
Problem: Is 183 a factor of 31842?
Yields: True
Problem: Does 1893 divide 18842285?
Yields: False
Problem: Does 391 divide 464724614?
Yields: True
Problem: Is 30 a factor of 93240?
Yields: True... | english |
arithmetic: nearest integer root
--------------------------------
Challenge: What is 109897212 to the power of 1/2, to the nearest integer?
Outcome: 10483
Challenge: What is the square root of 1059665 to the nearest integer?
Outcome: 1029
Challenge: What is the square root of 217200140 to the nearest integer?
Outcome: ... | english |
numbers: gcd
------------
Question: Calculate the highest common divisor of 14438810 and 1450.
Conclusion: 290
Question: Calculate the highest common divisor of 13 and 3133.
Conclusion: 13
Question: Calculate the greatest common divisor of 42 and 230118.
Conclusion: 42
Question: What is the highest common factor of 242... | english |
measurement: conversion
-----------------------
Example: How many centuries are there in 706.1511 millennia?
Final Answer: 7061.511
Example: How many millilitres are there in 5/4 of a litre?
Final Answer: 1250
Example: How many grams are there in 7/8 of a kilogram?
Final Answer: 875
Example: How many millilitres are th... | english |
numbers: div remainder
----------------------
Ask: Calculate the remainder when 1208 is divided by 31.
Outcome: 30
Ask: Calculate the remainder when 24680548 is divided by 137880.
Outcome: 28
Ask: What is the remainder when 1098 is divided by 16?
Outcome: 10
Ask: What is the remainder when 139456824 is divided by 3526?... | english |
numbers: place value
--------------------
Q): What is the millions digit of 16015824?
Conclusion: 6
Q): What is the ten millions digit of 408296008?
Conclusion: 0
Q): What is the ten thousands digit of 6041024?
Conclusion: 4
Q): What is the hundred thousands digit of 3713488727?
Conclusion: 4
Q): What is the units digi... | english |
measurement: conversion
-----------------------
Subquestion: How many months are there in 3/10 of a decade?
Key: 36
Subquestion: Convert 316931.8l to millilitres.
Key: 316931800
Subquestion: How many grams are there in 1/5 of a kilogram?
Key: 200
Subquestion: How many nanoseconds are there in twenty-five halves of a mi... | english |
numbers: gcd
------------
Math Problem: What is the greatest common factor of 1440 and 4090?
Explanation: 10
Math Problem: Calculate the greatest common divisor of 13213926 and 121.
Explanation: 121
Math Problem: What is the highest common factor of 6477 and 51?
Explanation: 51
Math Problem: Calculate the greatest comm... | english |
measurement: time
-----------------
Math Q: What is 172 minutes before 6:24 PM?
Resolution: 3:32 PM
Math Q: How many minutes are there between 3:19 PM and 1:30 AM?
Resolution: 611
Math Q: How many minutes are there between 4:32 PM and 9:35 PM?
Resolution: 303
Math Q: What is 167 minutes after 5:07 PM?
Resolution: 7:54 ... | english |
numbers: is prime
-----------------
Question: Is 17935107193 prime?
Compute: True
Question: Is 435011 prime?
Compute: False
Question: Is 1054897 a prime number?
Compute: False
Question: Is 804301 a prime number?
Compute: False
Question: Is 518698777 a composite number?
Compute: False
Question: Is 979385567 prime?
Compu... | english |
numbers: gcd
------------
Request: Calculate the highest common divisor of 141 and 413357104.
Result: 47
Request: What is the greatest common factor of 1222 and 949071?
Result: 47
Request: Calculate the highest common factor of 520 and 117024640.
Result: 40
Request: What is the highest common factor of 308 and 173593?
... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is the sixth root of 71812614 to the nearest integer?
Result: 20
Prompt: What is the eighth root of 41272030 to the nearest integer?
Result: 9
Prompt: What is 27445144 to the power of 1/3, to the nearest integer?
Result: 302
Prompt: What is ... | english |
numbers: div remainder
----------------------
Qn: Calculate the remainder when 1129 is divided by 545.
= : 39
Qn: What is the remainder when 5879 is divided by 1963?
= : 1953
Qn: What is the remainder when 2348 is divided by 505?
= : 328
Qn: What is the remainder when 2600799 is divided by 198?
= : 69
Qn: Calculate the... | english |
numbers: div remainder
----------------------
Ask: What is the remainder when 516319 is divided by 19?
Ans: 13
Ask: Calculate the remainder when 1156271 is divided by 436.
Ans: 435
Ask: What is the remainder when 604358 is divided by 360?
Ans: 278
Ask: What is the remainder when 73001 is divided by 346?
Ans: 341
Ask: C... | english |
probability: swr p level set
----------------------------
Topic: What is prob of picking 3 g when three letters picked without replacement from {z: 1, g: 17}?
Conclusion: 5/6
Topic: Three letters picked without replacement from ccchshhlthslsc. Give prob of picking 1 s and 2 l.
Conclusion: 3/364
Topic: What is prob of p... | english |
numbers: gcd
------------
Query: What is the greatest common divisor of 7 and 1554?
Key: 7
Query: What is the highest common factor of 35217549 and 18?
Key: 9
Query: What is the greatest common factor of 2865 and 15?
Key: 15
Query: Calculate the highest common divisor of 40712 and 5103.
Key: 7
Query: What is the greate... | english |
probability: swr p sequence
---------------------------
Task: Two letters picked without replacement from adddqadqddadaqq. What is prob of sequence aq?
Clarification: 8/105
Task: What is prob of sequence bxc when three letters picked without replacement from {b: 1, x: 2, t: 1, c: 4}?
Clarification: 1/42
Task: Two lette... | english |
arithmetic: nearest integer root
--------------------------------
Situation: What is 32221025 to the power of 1/3, to the nearest integer?
Result: 318
Situation: What is 416 to the power of 1/3, to the nearest integer?
Result: 7
Situation: What is the ninth root of 7686248 to the nearest integer?
Result: 6
Situation: W... | english |
probability: swr p sequence
---------------------------
Example: What is prob of sequence qbbu when four letters picked without replacement from uxbbqxxxquqx?
Therefore: 1/990
Example: Calculate prob of sequence ho when two letters picked without replacement from {h: 1, x: 1, k: 5, v: 3, o: 3, g: 1}.
Therefore: 3/182
E... | english |
probability: swr p level set
----------------------------
Challenge: What is prob of picking 1 g and 1 s when two letters picked without replacement from qdqdqaqqsqqdgdddqqg?
Result: 2/171
Challenge: What is prob of picking 1 x and 2 z when three letters picked without replacement from {o: 3, p: 2, b: 1, z: 4, x: 2, t:... | english |
measurement: conversion
-----------------------
Given: What is 8.049973 centuries in decades?
Resolution: 80.49973
Given: How many centuries are there in 87.83231 decades?
Resolution: 8.783231
Given: How many seconds are there in 2/15 of a minute?
Resolution: 8
Given: Convert 0.1485936 decades to months.
Resolution: 17... | english |
measurement: time
-----------------
Math Q: How many minutes are there between 5:50 AM and 1:43 PM?
Output: 473
Math Q: How many minutes are there between 6:53 AM and 8:54 AM?
Output: 121
Math Q: What is 170 minutes after 7:13 PM?
Output: 10:03 PM
Math Q: What is 98 minutes after 4:15 PM?
Output: 5:53 PM
Math Q: What i... | english |
arithmetic: nearest integer root
--------------------------------
Let us solve: What is the cube root of 180878 to the nearest integer?
Solution: 57
Let us solve: What is the seventh root of 372790662 to the nearest integer?
Solution: 17
Let us solve: What is 1613021 to the power of 1/5, to the nearest integer?
Solutio... | english |
numbers: gcd
------------
Exercise: Calculate the greatest common divisor of 691 and 4062389.
Finding: 691
Exercise: What is the greatest common divisor of 14940 and 581?
Finding: 83
Exercise: Calculate the greatest common factor of 1739339 and 7.
Finding: 7
Exercise: What is the highest common factor of 105925096 and ... | english |
probability: swr p level set
----------------------------
Math Q: Calculate prob of picking 2 v and 2 i when four letters picked without replacement from imxvn.
Derivation: 0
Math Q: Calculate prob of picking 3 y and 1 m when four letters picked without replacement from mllylyyyyl.
Derivation: 1/21
Math Q: Calculate pr... | english |
numbers: place value
--------------------
Ask: What is the millions digit of 267740304?
Outcome: 7
Ask: What is the thousands digit of 1427?
Outcome: 1
Ask: What is the ten millions digit of 29546956?
Outcome: 2
Ask: What is the thousands digit of 115086445?
Outcome: 6
Ask: What is the millions digit of 5100792716?
Out... | english |
numbers: place value
--------------------
Input: What is the units digit of 86632?
Solution: 2
Input: What is the ten thousands digit of 3011104?
Solution: 1
Input: What is the units digit of 27503?
Solution: 3
Input: What is the tens digit of 6046?
Solution: 4
Input: What is the hundreds digit of 11959?
Solution: 9
In... | english |
probability: swr p level set
----------------------------
Part A: Three letters picked without replacement from attatitti. Give prob of picking 1 t and 2 a.
Outcome: 5/84
Part A: What is prob of picking 1 l and 1 o when two letters picked without replacement from oloozeolvozovozezoz?
Outcome: 16/171
Part A: What is pro... | english |
probability: swr p level set
----------------------------
Math Problem: Calculate prob of picking 2 y, 1 v, and 1 a when four letters picked without replacement from cvcyvcccccxckyckcca.
Key: 1/1938
Math Problem: Three letters picked without replacement from zhhzhzhzzz. Give prob of picking 3 z.
Key: 1/6
Math Problem: ... | english |
arithmetic: nearest integer root
--------------------------------
Case: What is the seventh root of 87 to the nearest integer?
Derivation: 2
Case: What is 1942976316 to the power of 1/2, to the nearest integer?
Derivation: 44079
Case: What is the cube root of 18457 to the nearest integer?
Derivation: 26
Case: What is t... | english |
probability: swr p sequence
---------------------------
Exercise: Calculate prob of sequence gfga when four letters picked without replacement from {g: 3, h: 6, x: 5, f: 1, a: 3}.
Calculation: 1/4080
Exercise: Two letters picked without replacement from {a: 1, u: 1, i: 1}. Give prob of sequence au.
Calculation: 1/6
Exe... | english |
probability: swr p level set
----------------------------
Prompt: Four letters picked without replacement from qiclyca. What is prob of picking 1 q, 1 i, 1 l, and 1 y?
Output: 1/35
Prompt: What is prob of picking 1 g and 1 d when two letters picked without replacement from {u: 1, x: 1, g: 2, d: 3}?
Output: 2/7
Prompt: ... | english |
measurement: time
-----------------
Statement: How many minutes are there between 2:35 AM and 1:53 PM?
Eval: 678
Statement: What is 526 minutes after 7:01 AM?
Eval: 3:47 PM
Statement: How many minutes are there between 11:34 PM and 9:54 AM?
Eval: 620
Statement: What is 123 minutes after 7:24 PM?
Eval: 9:27 PM
Statement... | english |
arithmetic: nearest integer root
--------------------------------
Q): What is 16525 to the power of 1/10, to the nearest integer?
Result: 3
Q): What is the square root of 32014171 to the nearest integer?
Result: 5658
Q): What is 1643685 to the power of 1/3, to the nearest integer?
Result: 118
Q): What is 104931 to the ... | english |
numbers: place value
--------------------
Problem: What is the hundreds digit of 2244618058?
Sol: 0
Problem: What is the tens digit of 1284342?
Sol: 4
Problem: What is the ten millions digit of 20740561?
Sol: 2
Problem: What is the units digit of 1765?
Sol: 5
Problem: What is the tens digit of 438?
Sol: 3
Problem: What... | english |
measurement: time
-----------------
Given: What is 6 minutes after 10:44 AM?
Fix: 10:50 AM
Given: What is 176 minutes before 1:02 PM?
Fix: 10:06 AM
Given: How many minutes are there between 4:00 AM and 1:09 PM?
Fix: 549
Given: What is 56 minutes before 7:28 AM?
Fix: 6:32 AM
Given: What is 209 minutes before 6:59 AM?
Fi... | english |
numbers: gcd
------------
Statement: Calculate the greatest common divisor of 5875659 and 34.
Answer: 17
Statement: Calculate the highest common divisor of 35808 and 120.
Answer: 24
Statement: What is the greatest common divisor of 3276 and 637?
Answer: 91
Statement: What is the highest common factor of 472343 and 191?... | english |
numbers: place value
--------------------
Given: What is the ten thousands digit of 74155002?
Eval: 5
Given: What is the tens digit of 13908?
Eval: 0
Given: What is the tens digit of 6631?
Eval: 3
Given: What is the units digit of 40911?
Eval: 1
Given: What is the hundred thousands digit of 301753155?
Eval: 7
Given: Wh... | english |
numbers: gcd
------------
Math Q: What is the highest common factor of 5 and 1879900?
Compute: 5
Math Q: Calculate the highest common divisor of 17472 and 576240.
Compute: 336
Math Q: What is the greatest common factor of 2058 and 32234496?
Compute: 42
Math Q: What is the highest common divisor of 295 and 18703?
Comput... | english |
numbers: gcd
------------
Conundrum: Calculate the greatest common divisor of 3240 and 3966408.
Math A: 648
Conundrum: Calculate the highest common factor of 703 and 1073.
Math A: 37
Conundrum: Calculate the greatest common factor of 88 and 56012.
Math A: 44
Conundrum: What is the greatest common divisor of 69 and 141?... | english |
numbers: div remainder
----------------------
Math Q: What is the remainder when 2504103 is divided by 46?
→: 1
Math Q: What is the remainder when 602905375 is divided by 893?
→: 890
Math Q: What is the remainder when 1015 is divided by 199?
→: 20
Math Q: What is the remainder when 79497 is divided by 10?
→: 7
Math Q: ... | english |
numbers: is factor
------------------
Problem: Is 1548 a multiple of 26?
Final Answer: False
Problem: Does 39 divide 39536478?
Final Answer: False
Problem: Is 9 a factor of 42832431?
Final Answer: True
Problem: Is 1789014 a multiple of 42?
Final Answer: False
Problem: Is 1499 a multiple of 4?
Final Answer: False
Proble... | english |
arithmetic: nearest integer root
--------------------------------
Challenge: What is 1205480 to the power of 1/3, to the nearest integer?
Sol: 106
Challenge: What is the eighth root of 2184101990 to the nearest integer?
Sol: 15
Challenge: What is the cube root of 19270 to the nearest integer?
Sol: 27
Challenge: What is... | english |
probability: swr p level set
----------------------------
Q: What is prob of picking 2 s and 2 v when four letters picked without replacement from ssslssssscvsssscs?
Derivation: 0
Q: Four letters picked without replacement from {m: 3, q: 9}. Give prob of picking 2 m and 2 q.
Derivation: 12/55
Q: Calculate prob of picki... | english |
numbers: place value
--------------------
Query: What is the ten thousands digit of 254952?
Hence: 5
Query: What is the tens digit of 13751?
Hence: 5
Query: What is the ten thousands digit of 1321098254?
Hence: 9
Query: What is the thousands digit of 140892?
Hence: 0
Query: What is the units digit of 13280554?
Hence: 4... | english |
numbers: gcd
------------
Problem Statement: What is the greatest common factor of 30 and 1830?
Eval: 30
Problem Statement: Calculate the highest common divisor of 3 and 157467.
Eval: 3
Problem Statement: What is the greatest common factor of 431 and 141096901?
Eval: 431
Problem Statement: Calculate the highest common ... | english |
probability: swr p sequence
---------------------------
Task: Calculate prob of sequence hsh when three letters picked without replacement from hohyoooohsoo.
Calculation: 1/220
Task: Three letters picked without replacement from llllllclcc. What is prob of sequence ccl?
Calculation: 7/120
Task: Calculate prob of sequen... | english |
measurement: conversion
-----------------------
Qn: What is 13/8 of a gram in milligrams?
Resolution: 1625
Qn: Convert 0.1727355ml to litres.
Resolution: 0.0001727355
Qn: How many millilitres are there in 3/50 of a litre?
Resolution: 60
Qn: How many millimeters are there in 27/2 of a meter?
Resolution: 13500
Qn: What i... | english |
numbers: div remainder
----------------------
Task: What is the remainder when 5885 is divided by 588?
Outcome: 5
Task: Calculate the remainder when 164058 is divided by 55.
Outcome: 48
Task: What is the remainder when 593 is divided by 237?
Outcome: 119
Task: Calculate the remainder when 576 is divided by 38.
Outcome:... | english |
numbers: is factor
------------------
Ask: Does 21 divide 9099?
Solution: False
Ask: Does 9 divide 36468?
Solution: True
Ask: Is 28 a factor of 89147?
Solution: False
Ask: Does 28 divide 2660?
Solution: True
Ask: Is 1319958576 a multiple of 144?
Solution: True
Ask: Does 79 divide 514617376?
Solution: True
Ask: Is 17406... | english |
numbers: gcd
------------
Exercise: What is the highest common divisor of 270 and 327330?
Solution: 90
Exercise: Calculate the greatest common factor of 767327 and 1738.
Solution: 869
Exercise: Calculate the greatest common divisor of 42 and 1454133072.
Solution: 42
Exercise: Calculate the highest common factor of 1747... | english |
numbers: place value
--------------------
Scenario: What is the hundreds digit of 1074?
Reply: 0
Scenario: What is the thousands digit of 2206507172?
Reply: 7
Scenario: What is the thousands digit of 22514?
Reply: 2
Scenario: What is the units digit of 5313?
Reply: 3
Scenario: What is the millions digit of 7354490?
Rep... | english |
numbers: place value
--------------------
Q=: What is the thousands digit of 280054553?
Derivation: 4
Q=: What is the tens digit of 2835834625?
Derivation: 2
Q=: What is the tens digit of 400638810?
Derivation: 1
Q=: What is the ten thousands digit of 926616?
Derivation: 2
Q=: What is the millions digit of 500727879?
D... | english |
numbers: gcd
------------
Q: Calculate the greatest common factor of 1615432 and 26.
Math A: 26
Q: Calculate the greatest common divisor of 741 and 687363.
Math A: 57
Q: What is the highest common divisor of 6262 and 2626?
Math A: 202
Q: What is the highest common divisor of 31395412 and 6224?
Math A: 1556
Q: What is t... | english |
probability: swr p level set
----------------------------
Situation: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from xpipixccp.
Derivation: 1/14
Situation: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from {w: 4, h: 3, d: 1, c: 1, z: 3, f: 3}... | english |
probability: swr p sequence
---------------------------
Let us solve: Calculate prob of sequence ffo when three letters picked without replacement from qwwqjjjfqjfjwfo.
Therefore: 1/455
Let us solve: Calculate prob of sequence sey when three letters picked without replacement from lynelhes.
Therefore: 1/168
Let us solv... | english |
probability: swr p sequence
---------------------------
Prompt: Calculate prob of sequence ll when two letters picked without replacement from lpplplprzlr.
Interpretation: 6/55
Prompt: Three letters picked without replacement from eeeeeeeeee. What is prob of sequence eee?
Interpretation: 1
Prompt: Two letters picked wi... | english |
numbers: is prime
-----------------
Prompt: Is 56103 a prime number?
Result: False
Prompt: Is 3737008361 composite?
Result: False
Prompt: Is 76841417 composite?
Result: True
Prompt: Is 368911 composite?
Result: False
Prompt: Is 115033241 a prime number?
Result: False
Prompt: Is 60491 a composite number?
Result: True
Pr... | english |
numbers: div remainder
----------------------
Inquiry: What is the remainder when 101161 is divided by 1212?
Conclusion: 565
Inquiry: Calculate the remainder when 351290 is divided by 124.
Conclusion: 122
Inquiry: What is the remainder when 881154 is divided by 440085?
Conclusion: 984
Inquiry: Calculate the remainder w... | english |
numbers: gcd
------------
Q.: Calculate the greatest common divisor of 1160 and 17110.
Solution: 290
Q.: What is the greatest common divisor of 12114 and 138?
Solution: 6
Q.: What is the greatest common factor of 44 and 66?
Solution: 22
Q.: What is the greatest common factor of 402 and 1523781?
Solution: 201
Q.: What i... | english |
numbers: lcm
------------
Math Problem: What is the least common multiple of 27 and 147?
Therefore: 1323
Math Problem: What is the common denominator of 139/120 and 113/3810?
Therefore: 15240
Math Problem: What is the smallest common multiple of 3452274 and 351?
Therefore: 44879562
Math Problem: Find the common denomin... | english |
probability: swr p sequence
---------------------------
Question: Calculate prob of sequence cuc when three letters picked without replacement from iccciuuiicuuuchf.
Eval: 5/168
Question: Four letters picked without replacement from eejddjjejedddd. Give prob of sequence eede.
Eval: 6/1001
Question: Calculate prob of se... | english |
numbers: place value
--------------------
Puzzle: What is the thousands digit of 12233?
Response: 2
Puzzle: What is the millions digit of 1088239062?
Response: 8
Puzzle: What is the millions digit of 1393309613?
Response: 3
Puzzle: What is the units digit of 271?
Response: 1
Puzzle: What is the thousands digit of 1670?... | english |
measurement: conversion
-----------------------
Test item: How many months are there in fourty-two fifths of a century?
Result: 10080
Test item: How many nanoseconds are there in 0.2681231 weeks?
Result: 162160850880000
Test item: Convert 0.308239 weeks to minutes.
Result: 3107.04912
Test item: What is 5/8 of a tonne i... | english |
measurement: time
-----------------
Prompt: How many minutes are there between 1:39 AM and 7:02 AM?
Eval: 323
Prompt: How many minutes are there between 1:22 PM and 1:28 PM?
Eval: 6
Prompt: How many minutes are there between 10:44 AM and 7:36 PM?
Eval: 532
Prompt: How many minutes are there between 2:02 PM and 6:48 PM?... | english |
measurement: time
-----------------
Situation: How many minutes are there between 6:24 AM and 3:16 PM?
Key: 532
Situation: What is 591 minutes after 1:30 AM?
Key: 11:21 AM
Situation: How many minutes are there between 3:24 AM and 12:44 PM?
Key: 560
Situation: How many minutes are there between 1:30 AM and 2:06 AM?
Key:... | english |
numbers: is prime
-----------------
Test item: Is 6739 composite?
Ans: True
Test item: Is 237477481 composite?
Ans: True
Test item: Is 12325279 composite?
Ans: False
Test item: Is 145227191 a prime number?
Ans: False
Test item: Is 5557 a composite number?
Ans: False
Test item: Is 218681 a composite number?
Ans: False
T... | english |
numbers: place value
--------------------
Topic: What is the tens digit of 315146?
Steps: 4
Topic: What is the hundred thousands digit of 1083728?
Steps: 0
Topic: What is the millions digit of 17669103?
Steps: 7
Topic: What is the units digit of 291?
Steps: 1
Topic: What is the thousands digit of 1632924?
Steps: 2
Topi... | english |
numbers: is prime
-----------------
Example: Is 65083211 a prime number?
Ans: False
Example: Is 91260157 composite?
Ans: True
Example: Is 3075797 a composite number?
Ans: False
Example: Is 938716997 a composite number?
Ans: False
Example: Is 30553 a composite number?
Ans: False
Example: Is 3894550831 a prime number?
An... | english |
numbers: lcm
------------
Subquestion: What is the common denominator of 10/21 and 89/1683?
Therefore: 11781
Subquestion: What is the least common multiple of 792 and 166485?
Therefore: 3995640
Subquestion: Calculate the common denominator of 5/34 and 39/508.
Therefore: 8636
Subquestion: What is the smallest common mul... | english |
numbers: div remainder
----------------------
Problem: What is the remainder when 54359530 is divided by 2105?
Ans: 10
Problem: What is the remainder when 7832444 is divided by 1626?
Ans: 2
Problem: What is the remainder when 2283 is divided by 18?
Ans: 15
Problem: Calculate the remainder when 1029218 is divided by 342... | english |
probability: swr p level set
----------------------------
Ask: Calculate prob of picking 3 r when three letters picked without replacement from {k: 2, m: 1, r: 5, l: 1}.
Calculation: 5/42
Ask: What is prob of picking 1 w and 1 t when two letters picked without replacement from twqyrrfwytyw?
Calculation: 1/11
Ask: Calcu... | english |
numbers: place value
--------------------
Let: What is the ten millions digit of 23767140?
Steps: 2
Let: What is the ten millions digit of 21438252?
Steps: 2
Let: What is the ten thousands digit of 46455?
Steps: 4
Let: What is the thousands digit of 241481?
Steps: 1
Let: What is the hundreds digit of 14002759?
Steps: 7... | english |
numbers: gcd
------------
Q=: Calculate the highest common factor of 41 and 1681.
Fix: 41
Q=: Calculate the highest common factor of 60 and 1290.
Fix: 30
Q=: What is the greatest common divisor of 1290480 and 107920?
Fix: 1520
Q=: What is the highest common divisor of 9231 and 51?
Fix: 51
Q=: Calculate the greatest com... | english |
measurement: time
-----------------
Example: How many minutes are there between 8:03 AM and 2:51 PM?
Solution: 408
Example: How many minutes are there between 12:58 AM and 5:47 AM?
Solution: 289
Example: What is 706 minutes before 12:57 PM?
Solution: 1:11 AM
Example: What is 293 minutes before 6:06 PM?
Solution: 1:13 P... | english |
numbers: is prime
-----------------
What if: Is 1634843 prime?
Final Answer: False
What if: Is 71419 composite?
Final Answer: False
What if: Is 3228450791 composite?
Final Answer: True
What if: Is 2459 composite?
Final Answer: False
What if: Is 3272281 composite?
Final Answer: True
What if: Is 49954 prime?
Final Answer... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is 6872439 to the power of 1/2, to the nearest integer?
A.: 2622
Ask: What is the fourth root of 1277 to the nearest integer?
A.: 6
Ask: What is the fourth root of 1814 to the nearest integer?
A.: 7
Ask: What is 9950095 to the power of 1/3, to ... | english |
probability: swr p level set
----------------------------
Input: Two letters picked without replacement from arjkppp. Give prob of picking 1 p and 1 j.
Thus: 1/7
Input: Three letters picked without replacement from kffqfqfqkffqqqfqkqkk. What is prob of picking 1 q, 1 f, and 1 k?
Thus: 14/57
Input: Two letters picked wi... | english |
numbers: is factor
------------------
Statement: Is 69 a factor of 181137?
Soln: False
Statement: Is 29 a factor of 3373?
Soln: False
Statement: Does 551 divide 5550774?
Soln: True
Statement: Does 23 divide 161?
Soln: True
Statement: Does 17 divide 2801?
Soln: False
Statement: Is 15179808 a multiple of 903?
Soln: False... | english |
arithmetic: nearest integer root
--------------------------------
Conundrum: What is 717793 to the power of 1/8, to the nearest integer?
Sol: 5
Conundrum: What is 2065083718 to the power of 1/5, to the nearest integer?
Sol: 73
Conundrum: What is the third root of 165264573 to the nearest integer?
Sol: 549
Conundrum: Wh... | english |
numbers: is prime
-----------------
Math Problem: Is 783663511 composite?
Calculation: False
Math Problem: Is 18355837 prime?
Calculation: False
Math Problem: Is 100907 prime?
Calculation: True
Math Problem: Is 75979 composite?
Calculation: False
Math Problem: Is 61679726 a prime number?
Calculation: False
Math Problem... | english |
numbers: place value
--------------------
Prompt: What is the thousands digit of 14400?
Result: 4
Prompt: What is the tens digit of 149?
Result: 4
Prompt: What is the tens digit of 743?
Result: 4
Prompt: What is the hundred millions digit of 4648794536?
Result: 6
Prompt: What is the hundreds digit of 684?
Result: 6
Pro... | english |
probability: swr p level set
----------------------------
Statement: What is prob of picking 2 f and 2 t when four letters picked without replacement from {t: 6, f: 3, o: 7, u: 3}?
Key: 15/1292
Statement: Four letters picked without replacement from {i: 2, v: 1, x: 7, y: 4, b: 2, s: 4}. What is prob of picking 2 x and ... | english |
probability: swr p level set
----------------------------
Topic: Calculate prob of picking 2 r and 2 k when four letters picked without replacement from {r: 8, a: 2, b: 2, k: 3}.
Key: 4/65
Topic: Three letters picked without replacement from uiiiiiiuiui. Give prob of picking 3 i.
Key: 56/165
Topic: Two letters picked w... | english |
numbers: div remainder
----------------------
Q: Calculate the remainder when 771 is divided by 43.
→: 40
Q: What is the remainder when 76029 is divided by 198?
→: 195
Q: Calculate the remainder when 1142 is divided by 49.
→: 15
Q: What is the remainder when 49 is divided by 21?
→: 7
Q: Calculate the remainder when 202... | english |
measurement: time
-----------------
Step: What is 107 minutes before 9:31 PM?
Gives: 7:44 PM
Step: What is 634 minutes before 1:11 AM?
Gives: 2:37 PM
Step: How many minutes are there between 7:34 PM and 11:05 PM?
Gives: 211
Step: How many minutes are there between 2:28 AM and 10:38 AM?
Gives: 490
Step: How many minutes... | english |
numbers: gcd
------------
Question: What is the greatest common factor of 1911 and 3535203?
Eval: 147
Question: Calculate the highest common factor of 48 and 27408.
Eval: 48
Question: What is the highest common factor of 249 and 7116?
Eval: 3
Question: What is the greatest common divisor of 339 and 1921?
Eval: 113
Ques... | english |
numbers: place value
--------------------
Subquestion: What is the hundred thousands digit of 25382148?
Answer: 3
Subquestion: What is the hundreds digit of 2832?
Answer: 8
Subquestion: What is the ten millions digit of 2500250641?
Answer: 0
Subquestion: What is the tens digit of 9889?
Answer: 8
Subquestion: What is th... | english |
measurement: conversion
-----------------------
Example: What is eighteen fifths of a kilometer in meters?
Thus: 3600
Example: What is 10.00515 centimeters in kilometers?
Thus: 0.0001000515
Example: How many centuries are there in 41/2 of a millennium?
Thus: 205
Example: What is 268800.3 milliseconds in microseconds?
T... | english |
numbers: lcm
------------
Q: What is the common denominator of 107/387438 and -2/710303?
Interpretation: 4261818
Q: Calculate the common denominator of 1/64 and 83/10.
Interpretation: 320
Q: Calculate the lowest common multiple of 2633205 and 1402980.
Interpretation: 705698940
Q: What is the common denominator of 107/6... | english |
arithmetic: nearest integer root
--------------------------------
Test item: What is 2244 to the power of 1/10, to the nearest integer?
Fix: 2
Test item: What is the square root of 113969 to the nearest integer?
Fix: 338
Test item: What is the square root of 648407 to the nearest integer?
Fix: 805
Test item: What is th... | english |
probability: swr p sequence
---------------------------
Qn: What is prob of sequence qkk when three letters picked without replacement from kqk?
Clarification: 1/3
Qn: What is prob of sequence pp when two letters picked without replacement from {o: 9, p: 9}?
Clarification: 4/17
Qn: Two letters picked without replacemen... | english |
numbers: gcd
------------
Question: Calculate the highest common factor of 8275 and 38052422.
Fix: 331
Question: What is the highest common factor of 5183 and 146?
Fix: 73
Question: What is the greatest common factor of 1239 and 177492?
Fix: 21
Question: Calculate the greatest common divisor of 244139 and 371.
Fix: 7
Q... | english |
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