text stringlengths 256 2k | language stringclasses 2
values |
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numbers: place value
--------------------
Given: What is the tens digit of 28054974?
Gives: 7
Given: What is the tens digit of 327944?
Gives: 4
Given: What is the units digit of 3408231925?
Gives: 5
Given: What is the thousands digit of 2051049722?
Gives: 9
Given: What is the ten millions digit of 272349706?
Gives: 7
G... | english |
numbers: is factor
------------------
Problem Statement: Is 102994537 a multiple of 175?
Compute: False
Problem Statement: Does 42 divide 294?
Compute: True
Problem Statement: Is 21960 a multiple of 12?
Compute: True
Problem Statement: Is 159 a factor of 38067953?
Compute: False
Problem Statement: Does 2 divide 499360?... | english |
probability: swr p level set
----------------------------
Step: Calculate prob of picking 2 n when two letters picked without replacement from naaznan.
Clarification: 1/7
Step: Three letters picked without replacement from {p: 6, s: 2, j: 4, l: 1}. What is prob of picking 1 l, 1 j, and 1 s?
Clarification: 4/143
Step: W... | english |
numbers: place value
--------------------
What if: What is the tens digit of 101758?
Resolution: 5
What if: What is the hundreds digit of 1839?
Resolution: 8
What if: What is the hundreds digit of 19397?
Resolution: 3
What if: What is the hundreds digit of 5179061547?
Resolution: 5
What if: What is the ten thousands di... | english |
numbers: is prime
-----------------
Math Q: Is 45007 a prime number?
Explanation: True
Math Q: Is 19425463633 a composite number?
Explanation: False
Math Q: Is 915353 a prime number?
Explanation: True
Math Q: Is 11086454597 prime?
Explanation: False
Math Q: Is 14664191 prime?
Explanation: False
Math Q: Is 156047729977 ... | english |
probability: swr p sequence
---------------------------
Inquiry: Calculate prob of sequence xl when two letters picked without replacement from lllilzxqzliz.
Calculation: 5/132
Inquiry: Four letters picked without replacement from {r: 2, d: 1, j: 1, n: 1, o: 6, a: 4}. Give prob of sequence jdrr.
Calculation: 1/16380
In... | english |
probability: swr p sequence
---------------------------
Inquiry: Two letters picked without replacement from {m: 1, j: 1, v: 1, c: 2}. Give prob of sequence cj.
Ans: 1/10
Inquiry: Four letters picked without replacement from {y: 3, w: 7, a: 3}. What is prob of sequence wwaw?
Ans: 21/572
Inquiry: Calculate prob of seque... | english |
probability: swr p sequence
---------------------------
Given: Four letters picked without replacement from {n: 3, x: 3, l: 1, y: 5}. Give prob of sequence llyn.
Solution: 0
Given: Three letters picked without replacement from kkppkrpkkprkpppk. What is prob of sequence rrp?
Solution: 1/240
Given: Calculate prob of sequ... | english |
numbers: div remainder
----------------------
Issue: Calculate the remainder when 901762 is divided by 2102.
Yields: 4
Issue: Calculate the remainder when 835093 is divided by 139181.
Yields: 7
Issue: What is the remainder when 1589361 is divided by 318?
Yields: 315
Issue: What is the remainder when 832782 is divided b... | english |
numbers: place value
--------------------
What if: What is the thousands digit of 245186?
Calculation: 5
What if: What is the tens digit of 263?
Calculation: 6
What if: What is the tens digit of 865?
Calculation: 6
What if: What is the tens digit of 43183680?
Calculation: 8
What if: What is the tens digit of 215039?
Ca... | english |
numbers: gcd
------------
Example: What is the greatest common divisor of 7 and 1141?
Ans: 7
Example: What is the greatest common factor of 3731208 and 1248?
Ans: 312
Example: Calculate the greatest common factor of 183897 and 31899.
Ans: 147
Example: Calculate the greatest common factor of 94160 and 616.
Ans: 88
Examp... | english |
probability: swr p level set
----------------------------
Challenge: Two letters picked without replacement from {r: 2, e: 3}. Give prob of picking 1 r and 1 e.
Reply: 3/5
Challenge: Calculate prob of picking 2 j and 2 b when four letters picked without replacement from {z: 5, b: 2, w: 1, a: 2, j: 2, m: 2}.
Reply: 1/10... | english |
probability: swr p sequence
---------------------------
Problem: What is prob of sequence lxc when three letters picked without replacement from {c: 2, x: 5, y: 6, l: 3, w: 3, t: 1}?
Steps: 1/228
Problem: What is prob of sequence ls when two letters picked without replacement from sthlhsh?
Steps: 1/21
Problem: What is ... | english |
measurement: time
-----------------
Challenge: What is 92 minutes before 12:58 PM?
Interpretation: 11:26 AM
Challenge: What is 103 minutes after 6:34 AM?
Interpretation: 8:17 AM
Challenge: What is 652 minutes after 11:34 PM?
Interpretation: 10:26 AM
Challenge: What is 327 minutes after 3:40 AM?
Interpretation: 9:07 AM
... | english |
numbers: is factor
------------------
Question: Does 263 divide 50059?
Derivation: False
Question: Does 20 divide 298?
Derivation: False
Question: Does 5 divide 83372?
Derivation: False
Question: Is 729506 a multiple of 176?
Derivation: False
Question: Is 96 a factor of 9024?
Derivation: True
Question: Does 54 divide 1... | english |
numbers: place value
--------------------
Query: What is the hundred thousands digit of 1366809953?
Calculation: 8
Query: What is the millions digit of 33751760?
Calculation: 3
Query: What is the units digit of 2642?
Calculation: 2
Query: What is the hundred thousands digit of 598239149?
Calculation: 2
Query: What is t... | english |
numbers: is factor
------------------
Prompt: Does 125 divide 1545858?
Output: False
Prompt: Is 17 a factor of 3383?
Output: True
Prompt: Is 565680 a multiple of 4?
Output: True
Prompt: Is 7 a factor of 3190103?
Output: True
Prompt: Does 13 divide 198278?
Output: False
Prompt: Does 82 divide 43241?
Output: False
Prompt... | english |
arithmetic: nearest integer root
--------------------------------
Q/A: What is 156247 to the power of 1/3, to the nearest integer?
Ans: 54
Q/A: What is 1017676433 to the power of 1/2, to the nearest integer?
Ans: 31901
Q/A: What is the square root of 21172 to the nearest integer?
Ans: 146
Q/A: What is the third root of... | english |
numbers: is factor
------------------
Task: Does 30 divide 2588370?
Response: True
Task: Is 1072993402 a multiple of 26?
Response: True
Task: Does 37 divide 7045?
Response: False
Task: Is 15 a factor of 900344277?
Response: False
Task: Does 13 divide 963794?
Response: True
Task: Is 74474 a multiple of 17?
Response: Fal... | english |
probability: swr p level set
----------------------------
Task: Three letters picked without replacement from addddddaad. What is prob of picking 1 a and 2 d?
Calculation: 21/40
Task: What is prob of picking 3 a and 1 k when four letters picked without replacement from {a: 3, k: 2}?
Calculation: 2/5
Task: Three letters... | english |
numbers: is factor
------------------
Challenge: Does 57 divide 3250004?
Result: False
Challenge: Is 46509921 a multiple of 3?
Result: True
Challenge: Is 934386 a multiple of 7?
Result: False
Challenge: Does 12 divide 2001?
Result: False
Challenge: Is 1872 a multiple of 144?
Result: True
Challenge: Does 21 divide 71171... | english |
measurement: conversion
-----------------------
Prompt: How many milligrams are there in 13761.06ng?
Thus: 0.01376106
Prompt: What is 18.2208ml in litres?
Thus: 0.0182208
Prompt: Convert 0.4284073 millilitres to litres.
Thus: 0.0004284073
Prompt: What is 27/5 of a litre in millilitres?
Thus: 5400
Prompt: How many nanom... | english |
probability: swr p sequence
---------------------------
Problem #: Three letters picked without replacement from {y: 10, q: 2}. What is prob of sequence yqy?
Response: 3/22
Problem #: Three letters picked without replacement from eiiihiihccce. Give prob of sequence ihc.
Response: 1/44
Problem #: Four letters picked wit... | english |
numbers: is prime
-----------------
Given: Is 37817443 prime?
Reply: True
Given: Is 686167721 prime?
Reply: False
Given: Is 19654343 a composite number?
Reply: False
Given: Is 5809 prime?
Reply: False
Given: Is 28589017 a prime number?
Reply: True
Given: Is 118129 composite?
Reply: True
Given: Is 21008131 composite?
Re... | english |
numbers: div remainder
----------------------
Challenge: Calculate the remainder when 22841577 is divided by 338.
Calculation: 213
Challenge: Calculate the remainder when 23549 is divided by 53.
Calculation: 17
Challenge: What is the remainder when 91167230 is divided by 5533?
Calculation: 5522
Challenge: What is the r... | english |
numbers: is prime
-----------------
Problem #: Is 4610120069 composite?
Clarification: True
Problem #: Is 1413024407 composite?
Clarification: False
Problem #: Is 1273112437 composite?
Clarification: True
Problem #: Is 1934614733 composite?
Clarification: False
Problem #: Is 2177 a composite number?
Clarification: True... | english |
numbers: div remainder
----------------------
Case: Calculate the remainder when 521 is divided by 25.
Soln: 21
Case: What is the remainder when 193859 is divided by 10607?
Soln: 2933
Case: What is the remainder when 607 is divided by 16?
Soln: 15
Case: Calculate the remainder when 4793 is divided by 30.
Soln: 23
Case:... | english |
numbers: place value
--------------------
Conundrum: What is the ten thousands digit of 60756?
Soln: 6
Conundrum: What is the thousands digit of 20083?
Soln: 0
Conundrum: What is the units digit of 3979?
Soln: 9
Conundrum: What is the units digit of 126544582?
Soln: 2
Conundrum: What is the ten thousands digit of 92751... | english |
measurement: time
-----------------
Prompt: What is 317 minutes before 12:11 PM?
Finding: 6:54 AM
Prompt: How many minutes are there between 4:16 PM and 4:58 PM?
Finding: 42
Prompt: What is 386 minutes before 3:18 AM?
Finding: 8:52 PM
Prompt: What is 459 minutes after 10:38 AM?
Finding: 6:17 PM
Prompt: How many minutes... | english |
numbers: place value
--------------------
Request: What is the thousands digit of 140923?
Ans: 0
Request: What is the thousands digit of 2021313?
Ans: 1
Request: What is the hundreds digit of 57489?
Ans: 4
Request: What is the hundreds digit of 34873023?
Ans: 0
Request: What is the ten thousands digit of 15063?
Ans: 1
... | english |
numbers: is factor
------------------
Qn: Does 22 divide 831204?
Resolution: True
Qn: Does 12 divide 8100?
Resolution: True
Qn: Is 132828875 a multiple of 420?
Resolution: False
Qn: Does 10110 divide 3147667620?
Resolution: True
Qn: Is 312004 a multiple of 14?
Resolution: True
Qn: Does 69 divide 541295924?
Resolution: ... | english |
numbers: gcd
------------
Task: What is the highest common factor of 650 and 30238?
Response: 26
Task: Calculate the greatest common divisor of 144 and 162.
Response: 18
Task: Calculate the highest common factor of 22723498 and 28.
Response: 14
Task: What is the greatest common divisor of 4026415 and 31861?
Response: 1... | english |
probability: swr p level set
----------------------------
Prompt: What is prob of picking 1 m and 1 v when two letters picked without replacement from {k: 1, v: 1, s: 1, f: 2, m: 2, l: 1}?
Outcome: 1/14
Prompt: Calculate prob of picking 4 h when four letters picked without replacement from {v: 1, h: 17}.
Outcome: 7/9
P... | english |
measurement: time
-----------------
Subquestion: How many minutes are there between 1:59 PM and 3:27 PM?
Response: 88
Subquestion: How many minutes are there between 6:22 AM and 6:58 AM?
Response: 36
Subquestion: How many minutes are there between 6:25 AM and 7:05 AM?
Response: 40
Subquestion: How many minutes are ther... | english |
measurement: time
-----------------
Prompt: What is 663 minutes before 6:00 PM?
Final Answer: 6:57 AM
Prompt: What is 443 minutes after 7:33 PM?
Final Answer: 2:56 AM
Prompt: How many minutes are there between 6:02 PM and 3:59 AM?
Final Answer: 597
Prompt: What is 687 minutes before 1:44 AM?
Final Answer: 2:17 PM
Promp... | english |
arithmetic: nearest integer root
--------------------------------
Question: What is 285107 to the power of 1/9, to the nearest integer?
Response: 4
Question: What is 2822854 to the power of 1/3, to the nearest integer?
Response: 141
Question: What is the third root of 192636854 to the nearest integer?
Response: 578
Que... | english |
numbers: gcd
------------
Part A: What is the highest common factor of 30 and 15070?
A.: 10
Part A: Calculate the highest common divisor of 548397671 and 23.
A.: 23
Part A: What is the highest common divisor of 141876 and 189?
A.: 63
Part A: What is the greatest common factor of 140 and 3430?
A.: 70
Part A: What is the... | english |
probability: swr p sequence
---------------------------
Query: Calculate prob of sequence gzzg when four letters picked without replacement from {g: 3, z: 8, m: 2, b: 3}.
Key: 1/130
Query: Calculate prob of sequence wui when three letters picked without replacement from ixluxuiiwxu.
Key: 1/110
Query: Calculate prob of ... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is the cube root of 155052313 to the nearest integer?
Sol: 537
Exercise: What is the third root of 89056 to the nearest integer?
Sol: 45
Exercise: What is the eighth root of 11933316 to the nearest integer?
Sol: 8
Exercise: What is 2867576... | english |
numbers: div remainder
----------------------
Given: Calculate the remainder when 669 is divided by 189.
Resolution: 102
Given: Calculate the remainder when 3116013 is divided by 19971.
Resolution: 537
Given: What is the remainder when 46132 is divided by 1153?
Resolution: 12
Given: What is the remainder when 1012156 i... | english |
numbers: gcd
------------
Query: What is the highest common factor of 18 and 1154134287?
Derivation: 9
Query: What is the greatest common divisor of 336 and 96?
Derivation: 48
Query: Calculate the highest common factor of 94362 and 1614.
Derivation: 6
Query: What is the highest common factor of 6762812 and 84?
Derivati... | english |
numbers: place value
--------------------
Problem: What is the hundreds digit of 2422?
= : 4
Problem: What is the millions digit of 14245713?
= : 4
Problem: What is the units digit of 119?
= : 9
Problem: What is the hundreds digit of 21737?
= : 7
Problem: What is the units digit of 3255?
= : 5
Problem: What is the unit... | english |
numbers: gcd
------------
Request: Calculate the highest common divisor of 144 and 48.
Interpretation: 48
Request: Calculate the greatest common factor of 33830 and 68.
Interpretation: 34
Request: Calculate the highest common factor of 6027150 and 19550.
Interpretation: 1150
Request: Calculate the greatest common divis... | english |
numbers: gcd
------------
Q: What is the highest common factor of 86779 and 12144?
= : 253
Q: What is the greatest common divisor of 60 and 8850?
= : 30
Q: Calculate the greatest common divisor of 110 and 187220.
= : 110
Q: Calculate the greatest common divisor of 30 and 330.
= : 30
Q: Calculate the greatest common fac... | english |
probability: swr p level set
----------------------------
Math Q: Two letters picked without replacement from lnn. What is prob of picking 1 n and 1 l?
Workthrough: 2/3
Math Q: Two letters picked without replacement from {u: 1, k: 1, v: 1, m: 2, q: 1, r: 2}. Give prob of picking 2 m.
Workthrough: 1/28
Math Q: Three let... | english |
probability: swr p level set
----------------------------
Exercise: What is prob of picking 1 t and 1 x when two letters picked without replacement from bwwtwwxwbwwwwwwww?
Thus: 1/136
Exercise: Four letters picked without replacement from {k: 6, s: 13}. What is prob of picking 3 s and 1 k?
Thus: 143/323
Exercise: What ... | english |
measurement: time
-----------------
Math Problem: How many minutes are there between 1:15 AM and 7:15 AM?
Therefore: 360
Math Problem: How many minutes are there between 7:02 AM and 8:59 AM?
Therefore: 117
Math Problem: What is 135 minutes before 9:55 AM?
Therefore: 7:40 AM
Math Problem: How many minutes are there betw... | english |
numbers: place value
--------------------
Test item: What is the units digit of 2198?
A: 8
Test item: What is the hundred thousands digit of 1303434031?
A: 4
Test item: What is the hundred thousands digit of 2458790758?
A: 7
Test item: What is the thousands digit of 1038620782?
A: 0
Test item: What is the thousands dig... | english |
numbers: place value
--------------------
Part A: What is the units digit of 374924073?
Output: 3
Part A: What is the units digit of 4253?
Output: 3
Part A: What is the units digit of 3703?
Output: 3
Part A: What is the ten thousands digit of 26161?
Output: 2
Part A: What is the hundreds digit of 3160?
Output: 1
Part A... | english |
probability: swr p sequence
---------------------------
Exercise: What is prob of sequence nru when three letters picked without replacement from rvurogngngr?
Steps: 1/165
Exercise: Two letters picked without replacement from {x: 7, d: 2, p: 1}. What is prob of sequence dp?
Steps: 1/45
Exercise: Three letters picked wi... | english |
numbers: is prime
-----------------
Let: Is 309241 prime?
Solution: True
Let: Is 50763 composite?
Solution: True
Let: Is 7850027 composite?
Solution: True
Let: Is 3294791 composite?
Solution: False
Let: Is 668139833 composite?
Solution: False
Let: Is 34354563 prime?
Solution: False
Let: Is 1084981 prime?
Solution: True... | english |
numbers: gcd
------------
Conundrum: Calculate the greatest common divisor of 321 and 3317.
A: 107
Conundrum: Calculate the greatest common divisor of 2620 and 29999.
A: 131
Conundrum: What is the highest common divisor of 602 and 430?
A: 86
Conundrum: Calculate the highest common factor of 370 and 10.
A: 10
Conundrum:... | english |
probability: swr p level set
----------------------------
Exercise: Three letters picked without replacement from wwiiiiwiww. What is prob of picking 3 w?
Finding: 1/12
Exercise: Calculate prob of picking 2 p when two letters picked without replacement from bpbddbddpd.
Finding: 1/45
Exercise: What is prob of picking 1 ... | english |
probability: swr p level set
----------------------------
Q/A: What is prob of picking 1 e and 1 x when two letters picked without replacement from xeueuxeueueeeuu?
= : 2/15
Q/A: Two letters picked without replacement from {z: 2, s: 2, w: 1, o: 1}. What is prob of picking 1 o and 1 z?
= : 2/15
Q/A: What is prob of pick... | english |
probability: swr p level set
----------------------------
Q-: What is prob of picking 1 s and 1 x when two letters picked without replacement from yssssxsxxyxxsxs?
Conclusion: 2/5
Q-: What is prob of picking 2 d when two letters picked without replacement from {e: 1, p: 2, h: 1, d: 3}?
Conclusion: 1/7
Q-: Two letters p... | english |
numbers: div remainder
----------------------
Statement: What is the remainder when 14534 is divided by 54?
Final Answer: 8
Statement: What is the remainder when 17012 is divided by 3401?
Final Answer: 7
Statement: Calculate the remainder when 14622 is divided by 168.
Final Answer: 6
Statement: What is the remainder wh... | english |
probability: swr p sequence
---------------------------
Q-: Four letters picked without replacement from wwwwwbsswxbbbwxw. What is prob of sequence xwwx?
Eval: 1/390
Q-: Three letters picked without replacement from smwstsm. Give prob of sequence tws.
Eval: 1/70
Q-: What is prob of sequence av when two letters picked w... | english |
measurement: time
-----------------
Given: How many minutes are there between 12:42 PM and 2:45 PM?
Solution: 123
Given: What is 546 minutes before 2:27 AM?
Solution: 5:21 PM
Given: How many minutes are there between 3:01 PM and 6:02 PM?
Solution: 181
Given: What is 404 minutes before 3:02 PM?
Solution: 8:18 AM
Given: ... | english |
numbers: place value
--------------------
Given: What is the tens digit of 271647?
Solution: 4
Given: What is the hundreds digit of 4140?
Solution: 1
Given: What is the hundreds digit of 1227793?
Solution: 7
Given: What is the thousands digit of 2159?
Solution: 2
Given: What is the hundreds digit of 5021611234?
Solutio... | english |
probability: swr p level set
----------------------------
Q): Two letters picked without replacement from zkfpazck. What is prob of picking 1 f and 1 c?
Result: 1/28
Q): What is prob of picking 4 n when four letters picked without replacement from hhhnhghnnhhhhnhhhggh?
Result: 1/4845
Q): Four letters picked without rep... | english |
numbers: div remainder
----------------------
Topic: What is the remainder when 68477 is divided by 123?
Result: 89
Topic: What is the remainder when 89 is divided by 14?
Result: 5
Topic: Calculate the remainder when 87174 is divided by 43.
Result: 13
Topic: What is the remainder when 205019 is divided by 68279?
Result... | english |
numbers: place value
--------------------
Q): What is the ten millions digit of 184580799?
Answer: 8
Q): What is the hundreds digit of 76120?
Answer: 1
Q): What is the hundreds digit of 53265487?
Answer: 4
Q): What is the millions digit of 150737361?
Answer: 0
Q): What is the ten thousands digit of 1903954?
Answer: 0
Q... | english |
numbers: gcd
------------
Problem #: Calculate the highest common divisor of 552 and 27416.
= : 184
Problem #: What is the highest common divisor of 436 and 32809?
= : 109
Problem #: Calculate the greatest common factor of 33 and 1419.
= : 33
Problem #: What is the highest common factor of 80931 and 1018?
= : 509
Probl... | english |
numbers: div remainder
----------------------
Task: What is the remainder when 5197521 is divided by 5197483?
Math A: 38
Task: What is the remainder when 15181 is divided by 16?
Math A: 13
Task: What is the remainder when 75488995 is divided by 58655?
Math A: 10
Task: What is the remainder when 106161 is divided by 106... | english |
numbers: gcd
------------
Problem: What is the highest common divisor of 184 and 7544?
Derivation: 184
Problem: What is the greatest common divisor of 41 and 1025?
Derivation: 41
Problem: What is the highest common divisor of 360 and 90?
Derivation: 90
Problem: Calculate the greatest common divisor of 6014 and 485.
Der... | english |
numbers: place value
--------------------
Math Q: What is the thousands digit of 57727?
Interpretation: 7
Math Q: What is the tens digit of 49653983?
Interpretation: 8
Math Q: What is the millions digit of 8510664?
Interpretation: 8
Math Q: What is the tens digit of 980?
Interpretation: 8
Math Q: What is the units digi... | english |
probability: swr p sequence
---------------------------
Ask: Two letters picked without replacement from {n: 3, c: 3, z: 2}. What is prob of sequence zc?
Gives: 3/28
Ask: Three letters picked without replacement from {h: 1, i: 2, u: 3, f: 1}. What is prob of sequence iui?
Gives: 1/35
Ask: What is prob of sequence sfj w... | english |
numbers: place value
--------------------
Inquiry: What is the hundreds digit of 694?
Ans: 6
Inquiry: What is the ten thousands digit of 409772?
Ans: 0
Inquiry: What is the millions digit of 18358239?
Ans: 8
Inquiry: What is the hundreds digit of 131638?
Ans: 6
Inquiry: What is the thousands digit of 739509?
Ans: 9
Inq... | english |
measurement: time
-----------------
Prompt: What is 526 minutes after 12:27 PM?
Reply: 9:13 PM
Prompt: What is 237 minutes after 4:07 AM?
Reply: 8:04 AM
Prompt: What is 14 minutes after 8:46 AM?
Reply: 9:00 AM
Prompt: How many minutes are there between 7:09 AM and 3:33 PM?
Reply: 504
Prompt: How many minutes are there ... | english |
numbers: gcd
------------
Q=: What is the highest common divisor of 321 and 552762?
Explanation: 321
Q=: Calculate the highest common divisor of 30252452 and 986.
Explanation: 986
Q=: What is the greatest common factor of 507116 and 16991?
Explanation: 1307
Q=: What is the greatest common factor of 38218 and 231442?
Ex... | english |
probability: swr p sequence
---------------------------
Item: Calculate prob of sequence ve when two letters picked without replacement from {h: 2, v: 2, y: 1, e: 1, b: 2}.
Steps: 1/28
Item: Three letters picked without replacement from {k: 2, z: 7, d: 2, x: 1}. What is prob of sequence zxk?
Steps: 7/660
Item: What is ... | english |
numbers: is prime
-----------------
Conundrum: Is 48427 prime?
Solution: False
Conundrum: Is 177005 prime?
Solution: False
Conundrum: Is 6964847 prime?
Solution: True
Conundrum: Is 37368148121 a composite number?
Solution: False
Conundrum: Is 4119623 a composite number?
Solution: False
Conundrum: Is 39513911 a composit... | english |
numbers: lcm
------------
Conundrum: Calculate the smallest common multiple of 126 and 247004100.
Resolution: 247004100
Conundrum: Calculate the common denominator of -1/96015 and -59/180.
Resolution: 1152180
Conundrum: What is the smallest common multiple of 136 and 238?
Resolution: 952
Conundrum: Calculate the smalle... | english |
probability: swr p sequence
---------------------------
Task: Calculate prob of sequence vy when two letters picked without replacement from vyfyyfffyx.
Sol: 2/45
Task: Three letters picked without replacement from {c: 3, k: 4, i: 5}. What is prob of sequence ccc?
Sol: 1/220
Task: Four letters picked without replacemen... | english |
numbers: div remainder
----------------------
Question: Calculate the remainder when 118941 is divided by 3716.
Thus: 29
Question: Calculate the remainder when 152365 is divided by 29.
Thus: 28
Question: What is the remainder when 139 is divided by 73?
Thus: 66
Question: Calculate the remainder when 575 is divided by 5... | english |
probability: swr p sequence
---------------------------
What if: Calculate prob of sequence yyy when three letters picked without replacement from {y: 5}.
Reply: 1
What if: What is prob of sequence pbb when three letters picked without replacement from zpzbbpzzpbzzbbbzbz?
Reply: 7/272
What if: Two letters picked withou... | english |
numbers: gcd
------------
Item: What is the highest common divisor of 17199 and 784?
Gives: 49
Item: Calculate the greatest common divisor of 218 and 50943766.
Gives: 218
Item: What is the highest common divisor of 17178 and 1554?
Gives: 42
Item: Calculate the highest common factor of 32 and 1888.
Gives: 32
Item: What ... | english |
numbers: div remainder
----------------------
Q=: What is the remainder when 4146 is divided by 1025?
= : 46
Q=: What is the remainder when 773068 is divided by 257667?
= : 67
Q=: Calculate the remainder when 45137818 is divided by 70.
= : 68
Q=: Calculate the remainder when 12870 is divided by 157.
= : 153
Q=: Calcula... | english |
numbers: div remainder
----------------------
Case: Calculate the remainder when 1609 is divided by 88.
Workthrough: 25
Case: Calculate the remainder when 33 is divided by 9.
Workthrough: 6
Case: What is the remainder when 1424 is divided by 62?
Workthrough: 60
Case: What is the remainder when 67 is divided by 53?
Work... | english |
numbers: gcd
------------
Topic: What is the highest common divisor of 18540 and 212100?
Soln: 60
Topic: Calculate the greatest common factor of 84 and 28665.
Soln: 21
Topic: Calculate the greatest common divisor of 2176146 and 4522.
Soln: 266
Topic: Calculate the highest common divisor of 170 and 1.
Soln: 1
Topic: Cal... | english |
measurement: time
-----------------
Qn: What is 558 minutes before 7:06 PM?
Workthrough: 9:48 AM
Qn: What is 254 minutes before 11:12 PM?
Workthrough: 6:58 PM
Qn: How many minutes are there between 7:28 AM and 2:31 PM?
Workthrough: 423
Qn: How many minutes are there between 9:05 PM and 10:27 PM?
Workthrough: 82
Qn: How... | english |
numbers: div remainder
----------------------
Problem: What is the remainder when 607 is divided by 13?
Therefore: 9
Problem: What is the remainder when 391 is divided by 36?
Therefore: 31
Problem: What is the remainder when 22458 is divided by 5613?
Therefore: 6
Problem: Calculate the remainder when 89976170 is divide... | english |
numbers: is prime
-----------------
Ask: Is 1441289 a composite number?
Workthrough: False
Ask: Is 42989 a prime number?
Workthrough: True
Ask: Is 129705737453 prime?
Workthrough: True
Ask: Is 296675257 prime?
Workthrough: False
Ask: Is 33095 a prime number?
Workthrough: False
Ask: Is 2625369121 a composite number?
Wor... | english |
numbers: div remainder
----------------------
Qn: What is the remainder when 18575 is divided by 387?
Sol: 386
Qn: What is the remainder when 22576 is divided by 106?
Sol: 104
Qn: What is the remainder when 32 is divided by 19?
Sol: 13
Qn: Calculate the remainder when 30321696 is divided by 102.
Sol: 54
Qn: What is the... | english |
measurement: time
-----------------
What if: How many minutes are there between 6:00 AM and 12:59 PM?
Derivation: 419
What if: What is 302 minutes before 3:32 AM?
Derivation: 10:30 PM
What if: How many minutes are there between 10:33 AM and 7:42 PM?
Derivation: 549
What if: How many minutes are there between 10:58 PM a... | english |
numbers: place value
--------------------
Q.: What is the tens digit of 17481?
Answer: 8
Q.: What is the units digit of 256747?
Answer: 7
Q.: What is the units digit of 362?
Answer: 2
Q.: What is the tens digit of 7792?
Answer: 9
Q.: What is the ten thousands digit of 11349?
Answer: 1
Q.: What is the ten thousands digi... | english |
numbers: is factor
------------------
Puzzle: Is 464 a multiple of 18?
Solution: False
Puzzle: Is 438 a factor of 1109454?
Solution: True
Puzzle: Is 13 a factor of 26?
Solution: True
Puzzle: Does 13 divide 1520?
Solution: False
Puzzle: Does 10 divide 1451805?
Solution: False
Puzzle: Does 4442 divide 4638016264?
Solutio... | english |
numbers: place value
--------------------
Challenge: What is the units digit of 881834018?
Yields: 8
Challenge: What is the ten thousands digit of 633838?
Yields: 3
Challenge: What is the thousands digit of 1625062142?
Yields: 2
Challenge: What is the ten thousands digit of 77376096?
Yields: 7
Challenge: What is the te... | english |
arithmetic: nearest integer root
--------------------------------
Query: What is 198509 to the power of 1/2, to the nearest integer?
Math A: 446
Query: What is 3715 to the power of 1/4, to the nearest integer?
Math A: 8
Query: What is 2654 to the power of 1/2, to the nearest integer?
Math A: 52
Query: What is the squar... | english |
numbers: place value
--------------------
Question: What is the hundreds digit of 17696216?
A.: 2
Question: What is the tens digit of 1681?
A.: 8
Question: What is the units digit of 90711?
A.: 1
Question: What is the hundreds digit of 101?
A.: 1
Question: What is the millions digit of 1393008?
A.: 1
Question: What is ... | english |
comparison: kth biggest
-----------------------
Problem Statement: What is the fourth smallest value in 10, -8, 3, -26/7, 5, -55/2?
Final Answer: 3
Problem Statement: What is the biggest value in -7, -4, -5?
Final Answer: -4
Problem Statement: Which is the biggest value? (a) -158 (b) -2 (c) 4 (d) -0.4 (e) 1/6
Fina... | english |
measurement: conversion
-----------------------
Given: What is fifty-eight thirds of a day in hours?
Thus: 464
Given: Convert 0.7724772mg to micrograms.
Thus: 772.4772
Given: How many hours are there in 19/4 of a week?
Thus: 798
Given: What is six fifths of a minute in milliseconds?
Thus: 72000
Given: What is twenty-on... | english |
probability: swr p level set
----------------------------
Q: Four letters picked without replacement from kkffkk. Give prob of picking 1 f and 3 k.
Soln: 8/15
Q: Two letters picked without replacement from wdfrirrfffwwrbw. Give prob of picking 1 f and 1 b.
Soln: 4/105
Q: Two letters picked without replacement from {f: ... | english |
measurement: conversion
-----------------------
Scenario: What is 640181.4 litres in millilitres?
Explanation: 640181400
Scenario: How many months are there in 1/15 of a millennium?
Explanation: 800
Scenario: How many litres are there in 746903.7ml?
Explanation: 746.9037
Scenario: How many seconds are there in 3/50 of ... | english |
numbers: place value
--------------------
Statement: What is the hundred thousands digit of 17291512?
Fix: 2
Statement: What is the hundred thousands digit of 21652260?
Fix: 6
Statement: What is the units digit of 13652?
Fix: 2
Statement: What is the tens digit of 203782?
Fix: 8
Statement: What is the hundreds digit of... | english |
numbers: div remainder
----------------------
Part A: Calculate the remainder when 213990 is divided by 39.
Sol: 36
Part A: Calculate the remainder when 502301 is divided by 920.
Sol: 901
Part A: Calculate the remainder when 6905140 is divided by 266.
Sol: 46
Part A: What is the remainder when 18167030 is divided by 46... | english |
numbers: place value
--------------------
Topic: What is the ten thousands digit of 32310861?
Ans: 1
Topic: What is the ten millions digit of 421423007?
Ans: 2
Topic: What is the millions digit of 585858091?
Ans: 5
Topic: What is the thousands digit of 94480?
Ans: 4
Topic: What is the tens digit of 63294?
Ans: 9
Topic:... | english |
numbers: is factor
------------------
Prompt: Is 261 a factor of 68062536?
Calculation: True
Prompt: Does 18 divide 2020952?
Calculation: False
Prompt: Does 1048 divide 177479848?
Calculation: True
Prompt: Is 7 a factor of 2675?
Calculation: False
Prompt: Is 1797792528 a multiple of 24?
Calculation: True
Prompt: Does 9... | english |
numbers: is factor
------------------
Prompt: Is 1388 a multiple of 12?
Therefore: False
Prompt: Does 27 divide 1157?
Therefore: False
Prompt: Does 26 divide 54102484?
Therefore: False
Prompt: Is 11350562 a multiple of 134?
Therefore: False
Prompt: Is 177 a factor of 1933406?
Therefore: False
Prompt: Is 46 a factor of ... | english |
probability: swr p sequence
---------------------------
Ask: What is prob of sequence yyz when three letters picked without replacement from {r: 2, y: 3, v: 2, z: 4}?
Fix: 4/165
Ask: Calculate prob of sequence yyys when four letters picked without replacement from {y: 5, s: 2}.
Fix: 1/7
Ask: Calculate prob of sequence ... | english |
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