text stringlengths 256 2k | language stringclasses 2
values |
|---|---|
numbers: place value
--------------------
Qn: What is the tens digit of 221?
Output: 2
Qn: What is the hundreds digit of 3180711?
Output: 7
Qn: What is the billions digit of 1298629608?
Output: 1
Qn: What is the units digit of 4300935?
Output: 5
Qn: What is the units digit of 11514?
Output: 4
Qn: What is the millions d... | english |
numbers: is prime
-----------------
Exercise: Is 345701 prime?
Key: True
Exercise: Is 1248312895 prime?
Key: False
Exercise: Is 35994600233 composite?
Key: False
Exercise: Is 5711 prime?
Key: True
Exercise: Is 6193 a composite number?
Key: True
Exercise: Is 401748937 a prime number?
Key: False
Exercise: Is 394382909 pr... | english |
numbers: is prime
-----------------
Task: Is 19283 composite?
Workthrough: True
Task: Is 3780913 a prime number?
Workthrough: False
Task: Is 63078173 composite?
Workthrough: False
Task: Is 69143 a prime number?
Workthrough: True
Task: Is 174413159 a composite number?
Workthrough: False
Task: Is 897352237 a composite nu... | english |
numbers: gcd
------------
Step: Calculate the greatest common divisor of 375 and 225.
Soln: 75
Step: What is the highest common divisor of 55422 and 498?
Soln: 6
Step: Calculate the highest common divisor of 177 and 118.
Soln: 59
Step: Calculate the greatest common divisor of 90 and 3330.
Soln: 90
Step: What is the gre... | english |
probability: swr p level set
----------------------------
Task: Calculate prob of picking 1 p, 1 x, and 2 w when four letters picked without replacement from wwxwwwppwwwpwwwppppp.
Sol: 88/969
Task: Two letters picked without replacement from ksksssskskkk. Give prob of picking 1 k and 1 s.
Sol: 6/11
Task: Four letters p... | english |
numbers: div remainder
----------------------
Prompt: Calculate the remainder when 15266087 is divided by 957.
Sol: 23
Prompt: Calculate the remainder when 252493 is divided by 24.
Sol: 13
Prompt: Calculate the remainder when 374 is divided by 27.
Sol: 23
Prompt: What is the remainder when 1420417 is divided by 308?
So... | english |
numbers: lcm
------------
Puzzle: What is the common denominator of 59/934260 and -55/552?
Final Answer: 1868520
Puzzle: What is the common denominator of 7/3876 and 15/136?
Final Answer: 7752
Puzzle: Calculate the common denominator of -71/153216 and 127/3592368.
Final Answer: 201172608
Puzzle: What is the common deno... | english |
numbers: is factor
------------------
Task: Does 39 divide 1911?
Therefore: True
Task: Does 34 divide 92082673?
Therefore: False
Task: Is 99 a factor of 177948869?
Therefore: False
Task: Is 183254566 a multiple of 11?
Therefore: True
Task: Does 15 divide 5402?
Therefore: False
Task: Is 142 a factor of 100755?
Therefore... | english |
probability: swr p sequence
---------------------------
Subject: What is prob of sequence eeee when four letters picked without replacement from {k: 3, e: 8}?
Derivation: 7/33
Subject: Calculate prob of sequence jfj when three letters picked without replacement from fjffjf.
Derivation: 1/15
Subject: Three letters picke... | english |
numbers: gcd
------------
Math Problem: What is the highest common divisor of 217 and 1512?
Eval: 7
Math Problem: What is the greatest common factor of 90 and 8406?
Eval: 18
Math Problem: What is the greatest common factor of 63 and 18?
Eval: 9
Math Problem: What is the greatest common divisor of 210736 and 36896?
Eval... | english |
numbers: gcd
------------
Request: Calculate the highest common factor of 3285 and 36.
Ans: 9
Request: Calculate the highest common factor of 15 and 775.
Ans: 5
Request: What is the greatest common divisor of 56112 and 12?
Ans: 12
Request: Calculate the greatest common factor of 1568374 and 342.
Ans: 38
Request: Calcul... | english |
probability: swr p level set
----------------------------
Question: What is prob of picking 4 z when four letters picked without replacement from bzbzzbbbbbzbzbzzzzbb?
Math A: 42/1615
Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {c: 3, q: 3, n: 1, e: 1, o: 3}.
Math A:... | english |
probability: swr p level set
----------------------------
Task: Two letters picked without replacement from fqiqflfiifqwff. What is prob of picking 1 i and 1 q?
Eval: 9/91
Task: What is prob of picking 4 x when four letters picked without replacement from {i: 6, w: 2, x: 1, v: 3}?
Eval: 0
Task: Calculate prob of pickin... | english |
numbers: place value
--------------------
Qn: What is the thousands digit of 1957?
A: 1
Qn: What is the ten thousands digit of 646894?
A: 4
Qn: What is the thousands digit of 5211?
A: 5
Qn: What is the ten thousands digit of 3485270?
A: 8
Qn: What is the tens digit of 2966?
A: 6
Qn: What is the tens digit of 172887845?... | english |
probability: swr p sequence
---------------------------
Q): Calculate prob of sequence hii when three letters picked without replacement from mfiiifhjfiffifiih.
Workthrough: 7/340
Q): Three letters picked without replacement from mtmksmkskhsktkh. Give prob of sequence mht.
Workthrough: 2/455
Q): What is prob of sequenc... | english |
numbers: gcd
------------
Issue: What is the highest common factor of 285705 and 7?
Ans: 7
Issue: Calculate the highest common factor of 26 and 3406.
Ans: 26
Issue: What is the greatest common factor of 133977 and 47?
Ans: 1
Issue: What is the greatest common divisor of 765 and 18?
Ans: 9
Issue: Calculate the greatest ... | english |
numbers: place value
--------------------
Q-: What is the tens digit of 165?
Reply: 6
Q-: What is the hundred thousands digit of 230446?
Reply: 2
Q-: What is the millions digit of 20096923?
Reply: 0
Q-: What is the units digit of 10609856?
Reply: 6
Q-: What is the hundreds digit of 3530?
Reply: 5
Q-: What is the thousa... | english |
numbers: is factor
------------------
Problem: Is 67067290 a multiple of 365?
Clarification: True
Problem: Is 32041 a multiple of 62?
Clarification: False
Problem: Is 684 a factor of 2374771?
Clarification: False
Problem: Is 203 a factor of 1771744?
Clarification: False
Problem: Is 9 a factor of 85291?
Clarification: F... | english |
numbers: is factor
------------------
Let us solve: Is 8 a factor of 2152?
Steps: True
Let us solve: Does 58 divide 1856?
Steps: True
Let us solve: Is 618071 a multiple of 229?
Steps: True
Let us solve: Is 848726 a multiple of 47?
Steps: True
Let us solve: Is 11 a factor of 902?
Steps: True
Let us solve: Is 21642135 a ... | english |
numbers: place value
--------------------
Question: What is the units digit of 3432?
Sol: 2
Question: What is the ten millions digit of 1072024276?
Sol: 7
Question: What is the units digit of 103522604?
Sol: 4
Question: What is the ten millions digit of 1478450614?
Sol: 7
Question: What is the units digit of 23548515?
... | english |
numbers: lcm
------------
Problem: What is the common denominator of -43/668 and -31/5010?
Workthrough: 10020
Problem: Calculate the common denominator of 53/5250590 and 127/428844.
Workthrough: 409546020
Problem: Calculate the least common multiple of 57825 and 1125.
Workthrough: 289125
Problem: Calculate the least co... | english |
numbers: div remainder
----------------------
Given: Calculate the remainder when 345 is divided by 12.
A.: 9
Given: What is the remainder when 24763962 is divided by 2592?
A.: 2586
Given: Calculate the remainder when 1233001593 is divided by 1438.
A.: 1435
Given: What is the remainder when 211 is divided by 21?
A.: 1
... | english |
probability: swr p sequence
---------------------------
Part A: Calculate prob of sequence qqh when three letters picked without replacement from qujjphjhqhjj.
Calculation: 1/220
Part A: What is prob of sequence utu when three letters picked without replacement from uhuuuuuuuuhutuhuuuhh?
Calculation: 91/3420
Part A: Ca... | english |
probability: swr p sequence
---------------------------
Topic: Two letters picked without replacement from ttttttt. Give prob of sequence tt.
Fix: 1
Topic: What is prob of sequence hk when two letters picked without replacement from {f: 2, k: 1, h: 1, y: 1}?
Fix: 1/20
Topic: What is prob of sequence maam when four lett... | english |
probability: swr p sequence
---------------------------
Task: What is prob of sequence apkk when four letters picked without replacement from apkakaaakpaakka?
Output: 8/819
Task: Four letters picked without replacement from {o: 7, y: 3, q: 3, p: 4, k: 2}. Give prob of sequence pyyq.
Output: 1/1292
Task: Three letters p... | english |
numbers: is prime
-----------------
Problem #: Is 8017239353 composite?
Workthrough: False
Problem #: Is 3778 composite?
Workthrough: True
Problem #: Is 2171009 composite?
Workthrough: True
Problem #: Is 160249 composite?
Workthrough: True
Problem #: Is 1797443 a prime number?
Workthrough: False
Problem #: Is 302038463... | english |
numbers: is prime
-----------------
Example: Is 2077209649 composite?
Solution: True
Example: Is 18927941 a composite number?
Solution: True
Example: Is 12957109 prime?
Solution: False
Example: Is 159990839 composite?
Solution: True
Example: Is 138959 a composite number?
Solution: False
Example: Is 12963407 composite?
... | english |
measurement: conversion
-----------------------
Subquestion: How many years are there in 27/5 of a millennium?
Resolution: 5400
Subquestion: How many meters are there in three eighths of a kilometer?
Resolution: 375
Subquestion: Convert 3.177742 tonnes to kilograms.
Resolution: 3177.742
Subquestion: How many microsecon... | english |
numbers: gcd
------------
Q: Calculate the greatest common factor of 21505 and 6110225.
Answer: 935
Q: What is the highest common factor of 425508 and 1884?
Answer: 12
Q: What is the greatest common factor of 37655872 and 275481?
Answer: 3401
Q: What is the highest common factor of 365 and 85?
Answer: 5
Q: What is the ... | english |
numbers: gcd
------------
Situation: What is the highest common divisor of 114 and 12168417?
Outcome: 57
Situation: What is the highest common divisor of 4959 and 17613?
Outcome: 171
Situation: Calculate the highest common divisor of 224 and 1960.
Outcome: 56
Situation: Calculate the highest common divisor of 1364 and ... | english |
numbers: is factor
------------------
Statement: Is 977361051 a multiple of 2695?
Outcome: False
Statement: Does 191 divide 84318517?
Outcome: False
Statement: Is 17 a factor of 4757084884?
Outcome: False
Statement: Is 14 a factor of 19463968?
Outcome: False
Statement: Is 75 a factor of 14040795?
Outcome: False
Stateme... | english |
numbers: lcm
------------
Situation: Calculate the common denominator of 49/234 and -155/234.
Compute: 234
Situation: What is the lowest common multiple of 240 and 970?
Compute: 23280
Situation: What is the smallest common multiple of 8 and 1652216?
Compute: 1652216
Situation: What is the lowest common multiple of 125 ... | english |
numbers: div remainder
----------------------
Subquestion: What is the remainder when 209 is divided by 19?
Steps: 0
Subquestion: Calculate the remainder when 620944 is divided by 40.
Steps: 24
Subquestion: What is the remainder when 83719 is divided by 82?
Steps: 79
Subquestion: Calculate the remainder when 963 is div... | english |
numbers: div remainder
----------------------
Subject: Calculate the remainder when 241612 is divided by 2543.
Solution: 27
Subject: What is the remainder when 2190 is divided by 436?
Solution: 10
Subject: Calculate the remainder when 9874 is divided by 985.
Solution: 24
Subject: Calculate the remainder when 37424678 i... | english |
probability: swr p sequence
---------------------------
Query: What is prob of sequence skks when four letters picked without replacement from {m: 4, s: 2, l: 1, k: 7}?
Explanation: 1/286
Query: Calculate prob of sequence mqm when three letters picked without replacement from hqqmmqq.
Explanation: 4/105
Query: Three le... | english |
numbers: gcd
------------
Query: Calculate the highest common factor of 3 and 1447503.
Response: 3
Query: Calculate the greatest common divisor of 3431 and 47.
Response: 47
Query: What is the greatest common divisor of 1432193 and 553?
Response: 7
Query: Calculate the greatest common divisor of 2417276 and 44.
Response... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is 41819 to the power of 1/3, to the nearest integer?
Ans: 35
Ask: What is the third root of 1034473445 to the nearest integer?
Ans: 1011
Ask: What is 112056 to the power of 1/8, to the nearest integer?
Ans: 4
Ask: What is 424553517 to the powe... | english |
probability: swr p sequence
---------------------------
Example: Four letters picked without replacement from dajcdddacdcdddcdd. Give prob of sequence dcaj.
Solution: 1/714
Example: Calculate prob of sequence sst when three letters picked without replacement from {v: 4, t: 2, s: 8}.
Solution: 2/39
Example: What is prob... | english |
numbers: is prime
-----------------
Query: Is 2768349511 prime?
Key: True
Query: Is 2501 a prime number?
Key: False
Query: Is 60797 composite?
Key: True
Query: Is 661197759 prime?
Key: False
Query: Is 900547 prime?
Key: False
Query: Is 595333 prime?
Key: True
Query: Is 133349175177 a composite number?
Key: True
Query: ... | english |
numbers: place value
--------------------
Example: What is the hundred thousands digit of 8752297?
Steps: 7
Example: What is the hundred millions digit of 2179491511?
Steps: 1
Example: What is the tens digit of 198901942?
Steps: 4
Example: What is the units digit of 9780867?
Steps: 7
Example: What is the tens digit of ... | english |
numbers: place value
--------------------
Exercise: What is the hundreds digit of 73213?
= : 2
Exercise: What is the thousands digit of 1348?
= : 1
Exercise: What is the hundred millions digit of 280500736?
= : 2
Exercise: What is the hundreds digit of 203?
= : 2
Exercise: What is the tens digit of 206?
= : 0
Exercise:... | english |
numbers: is prime
-----------------
Prompt: Is 1076380369 prime?
Final Answer: True
Prompt: Is 130641358 a composite number?
Final Answer: True
Prompt: Is 60397 prime?
Final Answer: True
Prompt: Is 129277 a composite number?
Final Answer: False
Prompt: Is 343417279 prime?
Final Answer: True
Prompt: Is 88373 a prime num... | english |
probability: swr p level set
----------------------------
Step: Two letters picked without replacement from bbllweeyylwl. What is prob of picking 1 l and 1 b?
Calculation: 4/33
Step: Four letters picked without replacement from pzzpdzzzp. What is prob of picking 2 p and 2 z?
Calculation: 5/21
Step: What is prob of pick... | english |
numbers: is prime
-----------------
Problem #: Is 14613017 a prime number?
Explanation: True
Problem #: Is 8641 a composite number?
Explanation: False
Problem #: Is 47370807373 composite?
Explanation: False
Problem #: Is 8022281 composite?
Explanation: False
Problem #: Is 182413589 a composite number?
Explanation: True... | english |
probability: swr p sequence
---------------------------
Input: Two letters picked without replacement from {i: 1, k: 1, v: 1}. What is prob of sequence vk?
Calculation: 1/6
Input: Calculate prob of sequence nlln when four letters picked without replacement from nlll.
Calculation: 0
Input: Two letters picked without rep... | english |
numbers: gcd
------------
Math Problem: What is the highest common factor of 184 and 11895163?
Thus: 23
Math Problem: Calculate the greatest common divisor of 190 and 2535.
Thus: 5
Math Problem: What is the greatest common divisor of 5587 and 151?
Thus: 151
Math Problem: Calculate the highest common divisor of 16877 an... | english |
numbers: is factor
------------------
Subquestion: Does 26 divide 48333246?
Outcome: True
Subquestion: Is 79091944 a multiple of 2270?
Outcome: False
Subquestion: Is 914141358 a multiple of 117?
Outcome: True
Subquestion: Is 44 a factor of 308?
Outcome: True
Subquestion: Is 85386 a multiple of 38?
Outcome: True
Subques... | english |
probability: swr p level set
----------------------------
Q/A: What is prob of picking 1 h and 1 f when two letters picked without replacement from {f: 1, u: 5, h: 3, j: 1}?
Answer: 1/15
Q/A: Calculate prob of picking 2 w and 2 g when four letters picked without replacement from wgwwwgw.
Answer: 2/7
Q/A: What is prob o... | english |
numbers: div remainder
----------------------
Input: Calculate the remainder when 808 is divided by 222.
A.: 142
Input: Calculate the remainder when 85 is divided by 15.
A.: 10
Input: What is the remainder when 331 is divided by 25?
A.: 6
Input: Calculate the remainder when 1377576 is divided by 1377561.
A.: 15
Input: ... | english |
numbers: place value
--------------------
Request: What is the hundreds digit of 51403?
Output: 4
Request: What is the ten thousands digit of 308653104?
Output: 5
Request: What is the thousands digit of 49119?
Output: 9
Request: What is the tens digit of 45895806?
Output: 0
Request: What is the ten thousands digit of 4... | english |
probability: swr p sequence
---------------------------
Q: Four letters picked without replacement from qyayiiaii. Give prob of sequence yyiq.
Thus: 1/378
Q: What is prob of sequence ww when two letters picked without replacement from wwxwxw?
Thus: 2/5
Q: Calculate prob of sequence tjj when three letters picked without... | english |
numbers: is prime
-----------------
Let us solve: Is 28751 composite?
Derivation: False
Let us solve: Is 15159757 prime?
Derivation: False
Let us solve: Is 155379829 a composite number?
Derivation: True
Let us solve: Is 4717697 prime?
Derivation: False
Let us solve: Is 749696347 composite?
Derivation: False
Let us solv... | english |
numbers: place value
--------------------
Problem #: What is the thousands digit of 399535097?
Response: 5
Problem #: What is the millions digit of 6406563?
Response: 6
Problem #: What is the tens digit of 49591?
Response: 9
Problem #: What is the units digit of 4107?
Response: 7
Problem #: What is the billions digit o... | english |
numbers: is prime
-----------------
Step: Is 24611 composite?
Response: False
Step: Is 10297535649 a composite number?
Response: True
Step: Is 22681 a prime number?
Response: False
Step: Is 2179 a prime number?
Response: True
Step: Is 2939 a prime number?
Response: True
Step: Is 224351 composite?
Response: False
Step: ... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 3450261 is divided by 53?
Result: 14
Example: Calculate the remainder when 10969 is divided by 5484.
Result: 1
Example: Calculate the remainder when 2412 is divided by 10.
Result: 2
Example: Calculate the remainder when 3338864 is divided... | english |
arithmetic: nearest integer root
--------------------------------
Task: What is 9 to the power of 1/10, to the nearest integer?
Resolution: 1
Task: What is the ninth root of 2722 to the nearest integer?
Resolution: 2
Task: What is 91968 to the power of 1/10, to the nearest integer?
Resolution: 3
Task: What is 419781866... | english |
numbers: div remainder
----------------------
Request: Calculate the remainder when 34583046 is divided by 202.
Workthrough: 40
Request: Calculate the remainder when 292 is divided by 98.
Workthrough: 96
Request: What is the remainder when 5731854 is divided by 43?
Workthrough: 40
Request: Calculate the remainder when ... | english |
measurement: time
-----------------
Input: How many minutes are there between 4:56 AM and 3:57 PM?
Soln: 661
Input: What is 404 minutes before 6:23 AM?
Soln: 11:39 PM
Input: How many minutes are there between 12:20 AM and 5:30 AM?
Soln: 310
Input: How many minutes are there between 7:42 PM and 11:54 PM?
Soln: 252
Input... | english |
numbers: place value
--------------------
Problem: What is the hundred thousands digit of 118457183?
= : 4
Problem: What is the units digit of 3897?
= : 7
Problem: What is the hundred thousands digit of 370888?
= : 3
Problem: What is the ten millions digit of 14138378?
= : 1
Problem: What is the hundreds digit of 1519?... | english |
numbers: place value
--------------------
Exercise: What is the hundreds digit of 266?
Result: 2
Exercise: What is the ten thousands digit of 1842355?
Result: 4
Exercise: What is the tens digit of 257?
Result: 5
Exercise: What is the hundreds digit of 7424310?
Result: 3
Exercise: What is the hundred thousands digit of ... | english |
measurement: time
-----------------
Item: How many minutes are there between 2:38 AM and 12:11 PM?
Calculation: 573
Item: What is 102 minutes before 5:44 AM?
Calculation: 4:02 AM
Item: How many minutes are there between 3:16 AM and 2:56 PM?
Calculation: 700
Item: How many minutes are there between 1:03 AM and 4:30 AM?
... | english |
probability: swr p level set
----------------------------
Part A: Four letters picked without replacement from {l: 1, b: 2, m: 1, e: 4, x: 3, g: 1}. What is prob of picking 4 e?
Fix: 1/495
Part A: Calculate prob of picking 2 u when two letters picked without replacement from uuxxu.
Fix: 3/10
Part A: What is prob of pic... | english |
numbers: is factor
------------------
Example: Is 879 a factor of 514215?
Workthrough: True
Example: Does 487 divide 46168574?
Workthrough: True
Example: Is 868133 a multiple of 15?
Workthrough: False
Example: Is 103635 a multiple of 63?
Workthrough: True
Example: Is 9 a factor of 62085?
Workthrough: False
Example: Doe... | english |
numbers: gcd
------------
Problem Statement: What is the highest common divisor of 172 and 215?
Finding: 43
Problem Statement: What is the highest common factor of 39 and 1573?
Finding: 13
Problem Statement: Calculate the highest common divisor of 1655 and 8925415.
Finding: 1655
Problem Statement: Calculate the greates... | english |
measurement: time
-----------------
Conundrum: What is 331 minutes after 5:31 AM?
Response: 11:02 AM
Conundrum: How many minutes are there between 9:03 PM and 11:56 PM?
Response: 173
Conundrum: How many minutes are there between 8:16 AM and 9:38 AM?
Response: 82
Conundrum: How many minutes are there between 5:12 AM and... | english |
measurement: conversion
-----------------------
Problem #: How many nanograms are there in twenty-six fifths of a microgram?
Gives: 5200
Problem #: How many years are there in five quarters of a century?
Gives: 125
Problem #: Convert 399.7502 years to decades.
Gives: 39.97502
Problem #: How many nanometers are there in... | english |
numbers: place value
--------------------
Request: What is the tens digit of 122?
Compute: 2
Request: What is the hundreds digit of 663159420?
Compute: 4
Request: What is the tens digit of 7272?
Compute: 7
Request: What is the ten thousands digit of 190106?
Compute: 9
Request: What is the millions digit of 1381138?
Com... | english |
numbers: div remainder
----------------------
Scenario: What is the remainder when 698 is divided by 153?
→: 86
Scenario: Calculate the remainder when 74 is divided by 46.
→: 28
Scenario: What is the remainder when 40097318 is divided by 2219?
→: 2207
Scenario: What is the remainder when 445 is divided by 223?
→: 222
S... | english |
probability: swr p level set
----------------------------
Ask: What is prob of picking 1 a and 1 i when two letters picked without replacement from iqiea?
Calculation: 1/5
Ask: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {j: 10, l: 10}.
Calculation: 15/38
Ask: Four letters p... | english |
numbers: place value
--------------------
Scenario: What is the hundred thousands digit of 13341114?
Eval: 3
Scenario: What is the thousands digit of 3504?
Eval: 3
Scenario: What is the thousands digit of 10140?
Eval: 0
Scenario: What is the hundreds digit of 80755?
Eval: 7
Scenario: What is the ten thousands digit of ... | english |
probability: swr p level set
----------------------------
Given: Four letters picked without replacement from {y: 8, i: 5}. What is prob of picking 4 y?
Workthrough: 14/143
Given: Three letters picked without replacement from bbbjbbffjbb. What is prob of picking 1 b and 2 f?
Workthrough: 7/165
Given: Two letters picked... | english |
measurement: conversion
-----------------------
Task: What is 558.7206g in milligrams?
Answer: 558720.6
Task: What is 16.51815 litres in millilitres?
Answer: 16518.15
Task: Convert 4219.913 litres to millilitres.
Answer: 4219913
Task: What is 3/5 of a tonne in kilograms?
Answer: 600
Task: How many micrograms are there ... | english |
numbers: is factor
------------------
Subquestion: Is 486 a factor of 176418?
Ans: True
Subquestion: Is 289 a factor of 115812?
Ans: False
Subquestion: Is 167188 a multiple of 14?
Ans: True
Subquestion: Is 87464 a multiple of 3?
Ans: False
Subquestion: Is 182 a factor of 296534?
Ans: False
Subquestion: Does 58 divide 1... | english |
probability: swr p sequence
---------------------------
Puzzle: Calculate prob of sequence pp when two letters picked without replacement from pptcptpcp.
Solution: 5/18
Puzzle: Two letters picked without replacement from eliueeeupioeeee. Give prob of sequence uo.
Solution: 1/105
Puzzle: What is prob of sequence ssss wh... | english |
probability: swr p sequence
---------------------------
Ask: Two letters picked without replacement from {u: 2, i: 10}. What is prob of sequence ii?
A: 15/22
Ask: What is prob of sequence kklv when four letters picked without replacement from vvvvlvvkllvvlvlk?
A: 3/1456
Ask: Four letters picked without replacement from... | english |
probability: swr p sequence
---------------------------
Prompt: What is prob of sequence mvmv when four letters picked without replacement from mmmmmmvmmmmmmvmv?
Key: 3/140
Prompt: Calculate prob of sequence guu when three letters picked without replacement from {b: 1, i: 6, u: 3, g: 1, e: 6}.
Key: 1/680
Prompt: Three ... | english |
numbers: div remainder
----------------------
Subject: What is the remainder when 3583747 is divided by 279?
Solution: 271
Subject: What is the remainder when 93 is divided by 7?
Solution: 2
Subject: Calculate the remainder when 62685 is divided by 2013.
Solution: 282
Subject: Calculate the remainder when 11840251 is d... | english |
numbers: div remainder
----------------------
What if: What is the remainder when 9401829 is divided by 138262?
Answer: 13
What if: What is the remainder when 822 is divided by 270?
Answer: 12
What if: Calculate the remainder when 24 is divided by 7.
Answer: 3
What if: What is the remainder when 16843 is divided by 165... | english |
numbers: gcd
------------
Case: What is the highest common divisor of 43 and 3162?
Soln: 1
Case: What is the highest common divisor of 72 and 1476?
Soln: 36
Case: Calculate the highest common divisor of 246318 and 23912.
Soln: 122
Case: Calculate the highest common factor of 29 and 232.
Soln: 29
Case: Calculate the hig... | english |
numbers: is factor
------------------
Question: Is 943 a factor of 830700494?
Soln: False
Question: Is 243 a factor of 252234?
Soln: True
Question: Does 9 divide 28?
Soln: False
Question: Is 649908341 a multiple of 25?
Soln: False
Question: Is 1167033910 a multiple of 197?
Soln: True
Question: Does 414 divide 117168137... | english |
numbers: div remainder
----------------------
Subquestion: Calculate the remainder when 17745658 is divided by 1813.
Resolution: 14
Subquestion: Calculate the remainder when 40863 is divided by 98.
Resolution: 95
Subquestion: Calculate the remainder when 1407 is divided by 30.
Resolution: 27
Subquestion: Calculate the ... | english |
measurement: time
-----------------
Input: What is 432 minutes after 12:12 AM?
Sol: 7:24 AM
Input: What is 456 minutes after 7:16 AM?
Sol: 2:52 PM
Input: How many minutes are there between 9:41 AM and 3:02 PM?
Sol: 321
Input: What is 82 minutes before 11:59 AM?
Sol: 10:37 AM
Input: What is 309 minutes after 8:02 PM?
So... | english |
probability: swr p level set
----------------------------
Problem: What is prob of picking 1 r and 2 j when three letters picked without replacement from jpjrdrmd?
→: 1/28
Problem: Three letters picked without replacement from pssacpscssccasaasc. Give prob of picking 1 a, 1 p, and 1 s.
→: 7/102
Problem: Three letters p... | english |
arithmetic: nearest integer root
--------------------------------
Question: What is the square root of 1354447 to the nearest integer?
A.: 1164
Question: What is 2810094 to the power of 1/3, to the nearest integer?
A.: 141
Question: What is 91031 to the power of 1/3, to the nearest integer?
A.: 45
Question: What is the... | english |
measurement: time
-----------------
Math Q: What is 181 minutes before 9:02 PM?
Answer: 6:01 PM
Math Q: How many minutes are there between 7:43 AM and 2:43 PM?
Answer: 420
Math Q: What is 102 minutes after 1:03 AM?
Answer: 2:45 AM
Math Q: How many minutes are there between 4:12 AM and 2:29 PM?
Answer: 617
Math Q: How m... | english |
numbers: is prime
-----------------
Step: Is 187970527 a prime number?
Conclusion: False
Step: Is 94099 a composite number?
Conclusion: False
Step: Is 100483 composite?
Conclusion: False
Step: Is 571994581 prime?
Conclusion: False
Step: Is 470843629 a prime number?
Conclusion: True
Step: Is 232920727 composite?
Conclus... | english |
probability: swr p level set
----------------------------
Q: Four letters picked without replacement from {f: 2, z: 11}. What is prob of picking 3 z and 1 f?
Eval: 6/13
Q: Four letters picked without replacement from fffpfbfffupbfffb. Give prob of picking 2 b, 1 u, and 1 p.
Eval: 3/910
Q: Two letters picked without rep... | english |
probability: swr p level set
----------------------------
Qn: Three letters picked without replacement from {t: 1, g: 1, q: 3, y: 2, e: 3}. Give prob of picking 1 e, 1 q, and 1 t.
Ans: 3/40
Qn: What is prob of picking 1 z and 2 h when three letters picked without replacement from ccccccchzcshcc?
Ans: 1/364
Qn: Two lett... | english |
measurement: time
-----------------
Task: What is 439 minutes after 8:46 AM?
Math A: 4:05 PM
Task: What is 302 minutes after 5:56 PM?
Math A: 10:58 PM
Task: How many minutes are there between 3:05 AM and 11:55 AM?
Math A: 530
Task: How many minutes are there between 6:02 AM and 11:46 AM?
Math A: 344
Task: What is 50 mi... | english |
numbers: place value
--------------------
Case: What is the units digit of 63897700?
Resolution: 0
Case: What is the units digit of 28?
Resolution: 8
Case: What is the millions digit of 1965647557?
Resolution: 5
Case: What is the hundreds digit of 7751373?
Resolution: 3
Case: What is the tens digit of 872?
Resolution: ... | english |
numbers: place value
--------------------
Qn: What is the hundred thousands digit of 192137?
Ans: 1
Qn: What is the units digit of 40979?
Ans: 9
Qn: What is the units digit of 354?
Ans: 4
Qn: What is the units digit of 81339?
Ans: 9
Qn: What is the units digit of 4161?
Ans: 1
Qn: What is the tens digit of 257931?
Ans: ... | english |
numbers: lcm
------------
Example: Calculate the least common multiple of 348 and 16.
Workthrough: 1392
Example: What is the common denominator of -169/69552 and 45/53662?
Workthrough: 266592816
Example: Calculate the smallest common multiple of 5526 and 564171.
Workthrough: 1039202982
Example: What is the smallest com... | english |
probability: swr p level set
----------------------------
Prompt: Three letters picked without replacement from {u: 7, d: 3, s: 1, r: 5, y: 2}. What is prob of picking 2 r and 1 y?
Derivation: 5/204
Prompt: Four letters picked without replacement from {z: 4, w: 2, e: 6}. What is prob of picking 4 e?
Derivation: 1/33
Pr... | english |
measurement: conversion
-----------------------
Test item: What is fifteen quarters of a centimeter in micrometers?
Response: 37500
Test item: What is 4/21 of a week in hours?
Response: 32
Test item: How many minutes are there in 2/9 of a week?
Response: 2240
Test item: How many tonnes are there in 3086.179ug?
Response... | english |
arithmetic: nearest integer root
--------------------------------
Problem #: What is 230543410 to the power of 1/3, to the nearest integer?
Therefore: 613
Problem #: What is the ninth root of 601906 to the nearest integer?
Therefore: 4
Problem #: What is 746 to the power of 1/2, to the nearest integer?
Therefore: 27
Pr... | english |
numbers: is factor
------------------
Exercise: Is 59 a factor of 1239?
Finding: True
Exercise: Is 27846 a multiple of 74?
Finding: False
Exercise: Is 131 a factor of 390970?
Finding: False
Exercise: Is 3123094 a multiple of 878?
Finding: False
Exercise: Is 105781182 a multiple of 165?
Finding: False
Exercise: Does 27 ... | english |
measurement: conversion
-----------------------
Problem Statement: What is eleven halves of a litre in millilitres?
Reply: 5500
Problem Statement: Convert 47.4356ml to litres.
Reply: 0.0474356
Problem Statement: How many grams are there in 3/8 of a kilogram?
Reply: 375
Problem Statement: What is three tenths of a gram ... | english |
numbers: place value
--------------------
Qn: What is the millions digit of 647018165?
Answer: 7
Qn: What is the hundreds digit of 73503324?
Answer: 3
Qn: What is the tens digit of 68824958?
Answer: 5
Qn: What is the units digit of 29870329?
Answer: 9
Qn: What is the units digit of 15193688?
Answer: 8
Qn: What is the h... | english |
probability: swr p sequence
---------------------------
Issue: What is prob of sequence jr when two letters picked without replacement from {e: 1, j: 1, d: 2, u: 2, r: 1}?
Solution: 1/42
Issue: Calculate prob of sequence toto when four letters picked without replacement from uouuiloottkikui.
Solution: 1/2730
Issue: Cal... | english |
numbers: is factor
------------------
Part A: Is 44 a factor of 660?
Calculation: True
Part A: Is 45 a factor of 1175910873?
Calculation: False
Part A: Is 1846396564 a multiple of 142?
Calculation: False
Part A: Does 97 divide 19691?
Calculation: True
Part A: Is 69 a factor of 3054?
Calculation: False
Part A: Is 46 a m... | english |
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