text stringlengths 256 2k | language stringclasses 2
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numbers: gcd
------------
Subquestion: What is the highest common factor of 60 and 1541140?
Explanation: 20
Subquestion: Calculate the greatest common factor of 3173076 and 21888.
Explanation: 684
Subquestion: Calculate the greatest common factor of 29103 and 267.
Explanation: 267
Subquestion: Calculate the greatest co... | english |
measurement: conversion
-----------------------
Problem: How many micrograms are there in five eighths of a milligram?
Math A: 625
Problem: How many months are there in seven thirds of a millennium?
Math A: 28000
Problem: What is nine tenths of a century in decades?
Math A: 9
Problem: Convert 105.4253 micrometers to na... | english |
probability: swr p level set
----------------------------
Let us solve: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from {r: 1, y: 1, a: 2, z: 1}.
= : 1/5
Let us solve: Four letters picked without replacement from kkkkkkkppkpkpkkkpp. What is prob of picking 1 p and 3 k?
= : 22/51
L... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is the eighth root of 6482 to the nearest integer?
Soln: 3
Exercise: What is the square root of 5130480 to the nearest integer?
Soln: 2265
Exercise: What is 824 to the power of 1/3, to the nearest integer?
Soln: 9
Exercise: What is the nin... | english |
numbers: is prime
-----------------
Math Problem: Is 16417011607 a prime number?
Key: True
Math Problem: Is 2125099 composite?
Key: False
Math Problem: Is 730087829 prime?
Key: True
Math Problem: Is 2762803 composite?
Key: False
Math Problem: Is 3099667 prime?
Key: True
Math Problem: Is 1457 a composite number?
Key: Tr... | english |
probability: swr p sequence
---------------------------
Step: Three letters picked without replacement from {j: 2, x: 4, a: 1}. What is prob of sequence xxx?
Yields: 4/35
Step: Two letters picked without replacement from {i: 1, x: 2, b: 1, f: 5, p: 1}. Give prob of sequence bx.
Yields: 1/45
Step: Calculate prob of sequ... | english |
measurement: time
-----------------
Conundrum: How many minutes are there between 8:39 AM and 10:22 AM?
= : 103
Conundrum: How many minutes are there between 1:34 PM and 2:09 PM?
= : 35
Conundrum: How many minutes are there between 6:49 AM and 6:16 PM?
= : 687
Conundrum: How many minutes are there between 2:37 AM and 2... | english |
measurement: time
-----------------
Math Q: What is 176 minutes after 11:36 PM?
Soln: 2:32 AM
Math Q: What is 546 minutes before 12:30 PM?
Soln: 3:24 AM
Math Q: What is 605 minutes before 6:10 PM?
Soln: 8:05 AM
Math Q: What is 661 minutes after 8:49 AM?
Soln: 7:50 PM
Math Q: How many minutes are there between 2:53 PM a... | english |
numbers: place value
--------------------
Task: What is the ten thousands digit of 263108569?
Eval: 0
Task: What is the tens digit of 56256?
Eval: 5
Task: What is the tens digit of 881300?
Eval: 0
Task: What is the ten millions digit of 106096010?
Eval: 0
Task: What is the tens digit of 9291?
Eval: 9
Task: What is the ... | english |
probability: swr p sequence
---------------------------
Item: Three letters picked without replacement from rjrrjjjjrrrrrjjrrhr. Give prob of sequence jjh.
Fix: 7/969
Item: Calculate prob of sequence qll when three letters picked without replacement from {q: 1, f: 4, l: 3, o: 2, n: 3, r: 3}.
Fix: 1/560
Item: Calculate ... | english |
measurement: conversion
-----------------------
Q: What is 890.5215 kilometers in meters?
Outcome: 890521.5
Q: How many milligrams are there in fifteen quarters of a gram?
Outcome: 3750
Q: How many millilitres are there in 57/2 of a litre?
Outcome: 28500
Q: What is twenty-seven halves of a microgram in nanograms?
Outco... | english |
numbers: is prime
-----------------
Ask: Is 38289 prime?
Clarification: False
Ask: Is 21272593417 a prime number?
Clarification: True
Ask: Is 358877 composite?
Clarification: False
Ask: Is 3808709 a prime number?
Clarification: True
Ask: Is 20053 a composite number?
Clarification: True
Ask: Is 5675344919 a composite nu... | english |
numbers: is factor
------------------
Question: Is 11 a factor of 2002?
Soln: True
Question: Does 47 divide 34783?
Soln: False
Question: Does 9 divide 10911?
Soln: False
Question: Does 3697 divide 148194245?
Soln: True
Question: Does 4 divide 228?
Soln: True
Question: Does 577 divide 427881?
Soln: False
Question: Is 87... | english |
numbers: gcd
------------
Let us solve: What is the highest common factor of 12826 and 488554?
Outcome: 1166
Let us solve: What is the highest common divisor of 117 and 1511991?
Outcome: 117
Let us solve: What is the highest common divisor of 57312 and 26093676?
Outcome: 2388
Let us solve: Calculate the greatest common... | english |
numbers: div remainder
----------------------
Issue: What is the remainder when 11682739 is divided by 111?
Sol: 100
Issue: Calculate the remainder when 109 is divided by 17.
Sol: 7
Issue: Calculate the remainder when 88065 is divided by 482.
Sol: 341
Issue: What is the remainder when 86383 is divided by 21019?
Sol: 23... | english |
numbers: place value
--------------------
Exercise: What is the hundreds digit of 14130881?
Yields: 8
Exercise: What is the tens digit of 6432141?
Yields: 4
Exercise: What is the units digit of 47408?
Yields: 8
Exercise: What is the hundreds digit of 9516?
Yields: 5
Exercise: What is the hundreds digit of 383343888?
Yi... | english |
measurement: time
-----------------
Puzzle: What is 387 minutes before 9:23 AM?
Conclusion: 2:56 AM
Puzzle: What is 557 minutes before 11:02 AM?
Conclusion: 1:45 AM
Puzzle: What is 549 minutes after 2:38 PM?
Conclusion: 11:47 PM
Puzzle: How many minutes are there between 4:13 PM and 8:19 PM?
Conclusion: 246
Puzzle: How... | english |
probability: swr p sequence
---------------------------
Task: What is prob of sequence rno when three letters picked without replacement from {n: 2, o: 3, r: 4}?
Sol: 1/21
Task: Two letters picked without replacement from {a: 9, f: 1, l: 1, t: 2}. Give prob of sequence af.
Sol: 3/52
Task: Calculate prob of sequence yoe... | english |
numbers: is factor
------------------
Conundrum: Does 46 divide 395?
Response: False
Conundrum: Is 4600 a multiple of 5?
Response: True
Conundrum: Does 10 divide 1530?
Response: True
Conundrum: Does 76 divide 344443303?
Response: False
Conundrum: Does 11 divide 14157?
Response: True
Conundrum: Is 30 a factor of 2606?
R... | english |
measurement: conversion
-----------------------
Qn: What is 3/10 of a meter in millimeters?
Clarification: 300
Qn: Convert 85.86129mm to centimeters.
Clarification: 8.586129
Qn: How many days are there in 95.99718 hours?
Clarification: 3.9998825
Qn: Convert 485301.1ms to nanoseconds.
Clarification: 485301100000
Qn: How... | english |
arithmetic: nearest integer root
--------------------------------
Case: What is 44611 to the power of 1/2, to the nearest integer?
Compute: 211
Case: What is 9135561 to the power of 1/4, to the nearest integer?
Compute: 55
Case: What is the seventh root of 184482568 to the nearest integer?
Compute: 15
Case: What is the... | english |
numbers: is factor
------------------
Scenario: Does 116 divide 488036?
Answer: False
Scenario: Does 69 divide 2705?
Answer: False
Scenario: Is 45 a factor of 30151981?
Answer: False
Scenario: Is 848 a multiple of 10?
Answer: False
Scenario: Is 38216343 a multiple of 3?
Answer: True
Scenario: Does 404 divide 115201590?... | english |
numbers: is prime
-----------------
Conundrum: Is 23873045117 a prime number?
Solution: True
Conundrum: Is 477301 a prime number?
Solution: False
Conundrum: Is 1395273083 prime?
Solution: False
Conundrum: Is 462898823 a composite number?
Solution: True
Conundrum: Is 2047931 a composite number?
Solution: True
Conundrum:... | english |
numbers: is prime
-----------------
Test item: Is 5510831 a prime number?
Response: False
Test item: Is 1950033 prime?
Response: False
Test item: Is 47543 a composite number?
Response: False
Test item: Is 2767 a composite number?
Response: False
Test item: Is 17899 a prime number?
Response: False
Test item: Is 92443169... | english |
numbers: place value
--------------------
Question: What is the units digit of 73375279?
Answer: 9
Question: What is the units digit of 725550?
Answer: 0
Question: What is the hundred millions digit of 2412125450?
Answer: 4
Question: What is the hundred thousands digit of 1935730850?
Answer: 7
Question: What is the uni... | english |
probability: swr p level set
----------------------------
Test item: Two letters picked without replacement from {c: 9, h: 3}. What is prob of picking 1 c and 1 h?
Sol: 9/22
Test item: Calculate prob of picking 1 x and 3 q when four letters picked without replacement from qxxqqqqqqq.
Sol: 8/15
Test item: What is prob o... | english |
probability: swr p sequence
---------------------------
Given: Calculate prob of sequence wel when three letters picked without replacement from celcwe.
= : 1/60
Given: Three letters picked without replacement from {s: 2, x: 18}. What is prob of sequence xss?
= : 1/190
Given: What is prob of sequence aa when two letter... | english |
arithmetic: nearest integer root
--------------------------------
Question: What is the fifth root of 24714525 to the nearest integer?
Therefore: 30
Question: What is 292908404 to the power of 1/4, to the nearest integer?
Therefore: 131
Question: What is 7020224909 to the power of 1/10, to the nearest integer?
Therefor... | english |
measurement: conversion
-----------------------
Topic: What is 7/4 of a kilometer in meters?
Ans: 1750
Topic: How many millilitres are there in 3/25 of a litre?
Ans: 120
Topic: What is 42/5 of a gram in milligrams?
Ans: 8400
Topic: How many hours are there in 17/6 of a week?
Ans: 476
Topic: How many centuries are there... | english |
probability: swr p level set
----------------------------
Example: Three letters picked without replacement from {e: 4, o: 10, v: 2, y: 4}. Give prob of picking 2 v and 1 y.
= : 1/285
Example: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, g: 5, o: 3, k: 1, y: 1, l: 1}.
= : 1/78
E... | english |
numbers: is prime
-----------------
Problem Statement: Is 631987 composite?
Response: False
Problem Statement: Is 103141 composite?
Response: False
Problem Statement: Is 158857 prime?
Response: False
Problem Statement: Is 10064807 a composite number?
Response: True
Problem Statement: Is 2772493979 prime?
Response: Fals... | english |
arithmetic: nearest integer root
--------------------------------
Problem: What is the cube root of 1876540871 to the nearest integer?
Soln: 1233
Problem: What is 63259 to the power of 1/4, to the nearest integer?
Soln: 16
Problem: What is 3267 to the power of 1/2, to the nearest integer?
Soln: 57
Problem: What is the ... | english |
numbers: is prime
-----------------
Problem #: Is 92405 a composite number?
Calculation: True
Problem #: Is 2369824843 a prime number?
Calculation: True
Problem #: Is 6595019 composite?
Calculation: True
Problem #: Is 41053 a composite number?
Calculation: True
Problem #: Is 584293 a composite number?
Calculation: True... | english |
measurement: conversion
-----------------------
Task: How many centuries are there in 56188.46 years?
Sol: 561.8846
Task: Convert 78.76l to millilitres.
Sol: 78760
Task: What is 60119.856 minutes in days?
Sol: 41.7499
Task: Convert 51152.62 tonnes to kilograms.
Sol: 51152620
Task: What is 782659.2 millennia in years?
S... | english |
numbers: is factor
------------------
Problem: Does 170 divide 7610050?
Clarification: True
Problem: Is 3962881 a multiple of 31?
Clarification: False
Problem: Is 15 a factor of 1515?
Clarification: True
Problem: Is 20339544 a multiple of 23?
Clarification: True
Problem: Is 1795157 a multiple of 7?
Clarification: True
... | english |
arithmetic: nearest integer root
--------------------------------
Part A: What is 35982 to the power of 1/10, to the nearest integer?
Calculation: 3
Part A: What is the cube root of 75 to the nearest integer?
Calculation: 4
Part A: What is the ninth root of 41281100 to the nearest integer?
Calculation: 7
Part A: What i... | english |
probability: swr p sequence
---------------------------
Q/A: Calculate prob of sequence aaef when four letters picked without replacement from efffeeeefaaef.
Ans: 1/286
Q/A: Calculate prob of sequence auh when three letters picked without replacement from mmhaua.
Ans: 1/60
Q/A: Four letters picked without replacement f... | english |
numbers: gcd
------------
Given: Calculate the greatest common divisor of 28 and 266.
Sol: 14
Given: What is the greatest common divisor of 6925701 and 3?
Sol: 3
Given: What is the highest common divisor of 1675 and 67?
Sol: 67
Given: Calculate the highest common divisor of 81 and 2043.
Sol: 9
Given: Calculate the high... | english |
numbers: div remainder
----------------------
Topic: What is the remainder when 9712 is divided by 531?
Resolution: 154
Topic: Calculate the remainder when 319214 is divided by 23.
Resolution: 20
Topic: Calculate the remainder when 14 is divided by 8.
Resolution: 6
Topic: Calculate the remainder when 122 is divided by ... | english |
probability: swr p sequence
---------------------------
Ask: What is prob of sequence rw when two letters picked without replacement from wwlr?
Conclusion: 1/6
Ask: What is prob of sequence mjmj when four letters picked without replacement from ysemjsehjhmhyh?
Conclusion: 1/6006
Ask: Three letters picked without replac... | english |
measurement: conversion
-----------------------
Problem #: What is 0.3891613mm in micrometers?
Workthrough: 389.1613
Problem #: Convert 780.981mg to kilograms.
Workthrough: 0.000780981
Problem #: What is 3065.524 centuries in months?
Workthrough: 3678628.8
Problem #: How many seconds are there in 4/3 of a minute?
Workt... | english |
probability: swr p sequence
---------------------------
Given: What is prob of sequence amom when four letters picked without replacement from msoaasmsmasooa?
Interpretation: 3/1001
Given: Two letters picked without replacement from {i: 3, v: 1, t: 1, o: 4, q: 2}. Give prob of sequence oo.
Interpretation: 6/55
Given: T... | english |
numbers: div remainder
----------------------
Topic: Calculate the remainder when 2086 is divided by 9.
= : 7
Topic: Calculate the remainder when 30951 is divided by 64.
= : 39
Topic: Calculate the remainder when 1245085 is divided by 28295.
= : 105
Topic: Calculate the remainder when 319 is divided by 12.
= : 7
Topic:... | english |
numbers: place value
--------------------
Topic: What is the ten millions digit of 336128042?
Soln: 3
Topic: What is the ten millions digit of 16836560?
Soln: 1
Topic: What is the thousands digit of 5479?
Soln: 5
Topic: What is the millions digit of 115705657?
Soln: 5
Topic: What is the ten thousands digit of 19361252?... | english |
arithmetic: nearest integer root
--------------------------------
Given: What is the cube root of 31001 to the nearest integer?
Thus: 31
Given: What is 1934 to the power of 1/9, to the nearest integer?
Thus: 2
Given: What is 79952 to the power of 1/5, to the nearest integer?
Thus: 10
Given: What is 46900 to the power o... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is the square root of 795036 to the nearest integer?
Conclusion: 892
Exercise: What is 191145 to the power of 1/2, to the nearest integer?
Conclusion: 437
Exercise: What is 92757 to the power of 1/9, to the nearest integer?
Conclusion: 4
E... | english |
measurement: time
-----------------
Issue: How many minutes are there between 4:24 AM and 4:14 PM?
Steps: 710
Issue: How many minutes are there between 9:48 AM and 10:32 AM?
Steps: 44
Issue: What is 184 minutes before 1:29 AM?
Steps: 10:25 PM
Issue: What is 404 minutes after 9:00 PM?
Steps: 3:44 AM
Issue: How many minu... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is 771 to the power of 1/2, to the nearest integer?
Explanation: 28
Exercise: What is 14326595 to the power of 1/4, to the nearest integer?
Explanation: 62
Exercise: What is the fourth root of 407045359 to the nearest integer?
Explanation:... | english |
numbers: gcd
------------
Q): What is the greatest common divisor of 136838 and 3952?
Eval: 494
Q): What is the highest common divisor of 74210 and 1267?
Eval: 181
Q): Calculate the greatest common divisor of 55014 and 242892.
Eval: 1038
Q): Calculate the highest common divisor of 1634 and 450167.
Eval: 817
Q): What is... | english |
numbers: place value
--------------------
What if: What is the units digit of 8464?
Sol: 4
What if: What is the thousands digit of 1419909?
Sol: 9
What if: What is the hundreds digit of 384?
Sol: 3
What if: What is the thousands digit of 12209029?
Sol: 9
What if: What is the thousands digit of 6492978942?
Sol: 8
What i... | english |
numbers: place value
--------------------
Topic: What is the hundred thousands digit of 123597?
Hence: 1
Topic: What is the tens digit of 530557?
Hence: 5
Topic: What is the hundred millions digit of 639059676?
Hence: 6
Topic: What is the ten millions digit of 2867822919?
Hence: 6
Topic: What is the hundreds digit of 1... | english |
measurement: conversion
-----------------------
Situation: What is 9/10 of a millimeter in micrometers?
= : 900
Situation: How many months are there in 1/4 of a century?
= : 300
Situation: How many millilitres are there in 2563.716 litres?
= : 2563716
Situation: Convert 461927.5g to kilograms.
= : 461.9275
Situation: H... | english |
numbers: div remainder
----------------------
Case: What is the remainder when 169204 is divided by 1849?
Answer: 945
Case: Calculate the remainder when 56 is divided by 10.
Answer: 6
Case: What is the remainder when 19269 is divided by 131?
Answer: 12
Case: Calculate the remainder when 75514 is divided by 116.
Answer:... | english |
probability: swr p level set
----------------------------
Conundrum: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from {o: 5, r: 11}.
Answer: 55/112
Conundrum: Calculate prob of picking 2 p when two letters picked without replacement from pfp.
Answer: 1/3
Conundrum: Four letters p... | english |
numbers: div remainder
----------------------
Item: What is the remainder when 3809 is divided by 218?
Calculation: 103
Item: What is the remainder when 827 is divided by 18?
Calculation: 17
Item: Calculate the remainder when 12019424 is divided by 387.
Calculation: 365
Item: What is the remainder when 5342 is divided ... | english |
measurement: conversion
-----------------------
Problem: Convert 2.476495 millimeters to nanometers.
Compute: 2476495
Problem: Convert 406.6038 seconds to days.
Compute: 0.0047060625
Problem: Convert 42257.41ml to litres.
Compute: 42.25741
Problem: What is 22881.672 months in millennia?
Compute: 1.906806
Problem: How m... | english |
numbers: place value
--------------------
Issue: What is the tens digit of 9091?
Result: 9
Issue: What is the thousands digit of 183864?
Result: 3
Issue: What is the billions digit of 1505668588?
Result: 1
Issue: What is the tens digit of 2945699?
Result: 9
Issue: What is the hundreds digit of 1960271?
Result: 2
Issue:... | english |
arithmetic: nearest integer root
--------------------------------
What if: What is 4910 to the power of 1/6, to the nearest integer?
Result: 4
What if: What is 646062898 to the power of 1/3, to the nearest integer?
Result: 864
What if: What is the seventh root of 2044 to the nearest integer?
Result: 3
What if: What is ... | english |
measurement: conversion
-----------------------
Task: How many minutes are there in 16/9 of a day?
Sol: 2560
Task: How many years are there in seven halves of a decade?
Sol: 35
Task: Convert 83.60343 litres to millilitres.
Sol: 83603.43
Task: What is nine sixteenths of a centimeter in micrometers?
Sol: 5625
Task: How m... | english |
numbers: place value
--------------------
Topic: What is the units digit of 11180?
Thus: 0
Topic: What is the tens digit of 5537?
Thus: 3
Topic: What is the thousands digit of 195532?
Thus: 5
Topic: What is the hundred thousands digit of 17222486?
Thus: 2
Topic: What is the units digit of 1706?
Thus: 6
Topic: What is t... | english |
numbers: is factor
------------------
Problem Statement: Is 4261 a multiple of 14?
Result: False
Problem Statement: Is 39 a factor of 75101364?
Result: True
Problem Statement: Does 6 divide 212?
Result: False
Problem Statement: Is 1216569965 a multiple of 56?
Result: False
Problem Statement: Is 1518 a factor of 1897477... | english |
probability: swr p level set
----------------------------
Issue: Four letters picked without replacement from xiivyivyxvyyvyv. Give prob of picking 1 x and 3 v.
Response: 4/273
Issue: Three letters picked without replacement from {d: 2, n: 4, z: 2, o: 2}. Give prob of picking 1 o and 2 n.
Response: 1/10
Issue: What is ... | english |
numbers: is prime
-----------------
Question: Is 17807 a composite number?
Therefore: False
Question: Is 439441 a composite number?
Therefore: False
Question: Is 29923896161 prime?
Therefore: True
Question: Is 8633 a composite number?
Therefore: True
Question: Is 4613179457 prime?
Therefore: True
Question: Is 150698501... | english |
numbers: is prime
-----------------
Case: Is 941569 composite?
Calculation: True
Case: Is 28195879 composite?
Calculation: False
Case: Is 1339851074 composite?
Calculation: True
Case: Is 21307035433 composite?
Calculation: True
Case: Is 18552803 prime?
Calculation: True
Case: Is 5817107 prime?
Calculation: True
Case: I... | english |
numbers: gcd
------------
Math Problem: What is the highest common factor of 3 and 201?
A.: 3
Math Problem: What is the highest common factor of 1326 and 30294?
A.: 102
Math Problem: What is the greatest common factor of 370 and 17760?
A.: 370
Math Problem: Calculate the highest common factor of 12 and 87459216.
A.: 12... | english |
measurement: time
-----------------
Q=: How many minutes are there between 11:42 PM and 11:04 AM?
Therefore: 682
Q=: What is 67 minutes before 12:17 PM?
Therefore: 11:10 AM
Q=: How many minutes are there between 7:14 AM and 7:26 AM?
Therefore: 12
Q=: What is 207 minutes before 9:50 PM?
Therefore: 6:23 PM
Q=: How many m... | english |
measurement: time
-----------------
Task: What is 398 minutes after 3:32 PM?
Eval: 10:10 PM
Task: How many minutes are there between 8:41 AM and 1:06 PM?
Eval: 265
Task: What is 607 minutes before 7:13 AM?
Eval: 9:06 PM
Task: How many minutes are there between 10:21 AM and 7:33 PM?
Eval: 552
Task: What is 244 minutes b... | english |
numbers: place value
--------------------
Subquestion: What is the ten thousands digit of 744508?
Conclusion: 4
Subquestion: What is the units digit of 23538?
Conclusion: 8
Subquestion: What is the thousands digit of 1320?
Conclusion: 1
Subquestion: What is the tens digit of 122663?
Conclusion: 6
Subquestion: What is t... | english |
numbers: is prime
-----------------
Puzzle: Is 3006546053 a composite number?
Soln: True
Puzzle: Is 16857587 prime?
Soln: True
Puzzle: Is 110581 prime?
Soln: True
Puzzle: Is 4447186949 a prime number?
Soln: False
Puzzle: Is 1459 prime?
Soln: True
Puzzle: Is 563253 a prime number?
Soln: False
Puzzle: Is 4937051 composit... | english |
numbers: is prime
-----------------
Situation: Is 46399 a composite number?
Solution: False
Situation: Is 551820053 a prime number?
Solution: True
Situation: Is 85843423 a prime number?
Solution: True
Situation: Is 6524232229 prime?
Solution: False
Situation: Is 20876161 a prime number?
Solution: False
Situation: Is 34... | english |
arithmetic: nearest integer root
--------------------------------
Task: What is the fourth root of 4029310628 to the nearest integer?
Solution: 252
Task: What is 2084993 to the power of 1/6, to the nearest integer?
Solution: 11
Task: What is 43969100 to the power of 1/6, to the nearest integer?
Solution: 19
Task: What ... | english |
numbers: place value
--------------------
Exercise: What is the ten thousands digit of 78631?
Fix: 7
Exercise: What is the units digit of 112989?
Fix: 9
Exercise: What is the hundreds digit of 9847194?
Fix: 1
Exercise: What is the hundred thousands digit of 881751683?
Fix: 7
Exercise: What is the units digit of 16492?
... | english |
numbers: is prime
-----------------
Question: Is 181573 a composite number?
Soln: True
Question: Is 147029 a composite number?
Soln: False
Question: Is 75751 a prime number?
Soln: False
Question: Is 4472101 composite?
Soln: False
Question: Is 53258343 a composite number?
Soln: True
Question: Is 10201174 composite?
Soln... | english |
numbers: div remainder
----------------------
Issue: Calculate the remainder when 4805 is divided by 27.
Ans: 26
Issue: Calculate the remainder when 1573 is divided by 510.
Ans: 43
Issue: What is the remainder when 35875924 is divided by 50?
Ans: 24
Issue: Calculate the remainder when 211587 is divided by 10145.
Ans: 8... | english |
numbers: is factor
------------------
Prompt: Is 891380 a multiple of 35?
Derivation: True
Prompt: Does 5356 divide 530806380?
Derivation: True
Prompt: Does 20 divide 180?
Derivation: True
Prompt: Is 131877875 a multiple of 6?
Derivation: False
Prompt: Does 58 divide 32113?
Derivation: False
Prompt: Is 27 a factor of 5... | english |
measurement: time
-----------------
Math Problem: How many minutes are there between 9:25 PM and 6:05 AM?
Thus: 520
Math Problem: How many minutes are there between 5:52 PM and 8:09 PM?
Thus: 137
Math Problem: How many minutes are there between 11:13 PM and 10:32 AM?
Thus: 679
Math Problem: What is 158 minutes before 1... | english |
measurement: time
-----------------
Example: What is 532 minutes before 8:03 AM?
A.: 11:11 PM
Example: How many minutes are there between 1:14 PM and 8:40 PM?
A.: 446
Example: How many minutes are there between 6:23 AM and 8:52 AM?
A.: 149
Example: What is 71 minutes after 5:43 PM?
A.: 6:54 PM
Example: What is 277 minu... | english |
probability: swr p sequence
---------------------------
Exercise: Calculate prob of sequence thtt when four letters picked without replacement from {t: 3, h: 7}.
Solution: 1/120
Exercise: Three letters picked without replacement from htoshoohqhs. What is prob of sequence sot?
Solution: 1/165
Exercise: What is prob of s... | english |
measurement: time
-----------------
Let us solve: What is 204 minutes after 7:04 PM?
Explanation: 10:28 PM
Let us solve: What is 462 minutes after 4:07 AM?
Explanation: 11:49 AM
Let us solve: How many minutes are there between 4:17 AM and 5:58 AM?
Explanation: 101
Let us solve: How many minutes are there between 1:04 P... | english |
probability: swr p sequence
---------------------------
Prompt: What is prob of sequence tm when two letters picked without replacement from cmttcm?
Solution: 2/15
Prompt: Calculate prob of sequence gtg when three letters picked without replacement from {t: 1, g: 3, a: 2, p: 1}.
Solution: 1/35
Prompt: Three letters pic... | english |
numbers: is factor
------------------
Statement: Does 51 divide 1884617?
Math A: False
Statement: Is 6189 a multiple of 23?
Math A: False
Statement: Does 44 divide 2349?
Math A: False
Statement: Does 12 divide 3259?
Math A: False
Statement: Is 225669 a multiple of 8?
Math A: False
Statement: Is 67230 a multiple of 10?
... | english |
probability: swr p level set
----------------------------
Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from rmvmmilvmvvmrmrrrviq?
Solution: 1/19
Question: Three letters picked without replacement from {l: 8, m: 3, e: 7}. Give prob of picking 3 e.
Solution: 35/816
Question: C... | english |
numbers: place value
--------------------
Qn: What is the ten thousands digit of 20764516?
A: 6
Qn: What is the ten millions digit of 122144698?
A: 2
Qn: What is the tens digit of 73920730?
A: 3
Qn: What is the thousands digit of 53828?
A: 3
Qn: What is the ten thousands digit of 20137?
A: 2
Qn: What is the thousands d... | english |
probability: swr p sequence
---------------------------
Prompt: Three letters picked without replacement from {a: 1, o: 1, h: 1, c: 1, p: 1}. What is prob of sequence opc?
→: 1/60
Prompt: Calculate prob of sequence ss when two letters picked without replacement from {o: 4, y: 1, s: 4, e: 2}.
→: 6/55
Prompt: What is pro... | english |
numbers: is prime
-----------------
Scenario: Is 7405679 a prime number?
Answer: True
Scenario: Is 5174835233 composite?
Answer: True
Scenario: Is 3593 prime?
Answer: True
Scenario: Is 4504537 a prime number?
Answer: True
Scenario: Is 4046287 composite?
Answer: True
Scenario: Is 1625329 a prime number?
Answer: True
Sce... | english |
numbers: div remainder
----------------------
Item: What is the remainder when 4884 is divided by 305?
Yields: 4
Item: What is the remainder when 427716 is divided by 427709?
Yields: 7
Item: What is the remainder when 327386 is divided by 130?
Yields: 46
Item: What is the remainder when 411141 is divided by 121?
Yields... | english |
numbers: is prime
-----------------
Situation: Is 2654 a prime number?
Conclusion: False
Situation: Is 1448147105 a composite number?
Conclusion: True
Situation: Is 204805481 a prime number?
Conclusion: True
Situation: Is 1041145517 composite?
Conclusion: False
Situation: Is 14854547 a composite number?
Conclusion: Fal... | english |
probability: swr p sequence
---------------------------
Exercise: Three letters picked without replacement from {m: 2, g: 7, q: 7, k: 1}. What is prob of sequence qmm?
Interpretation: 7/2040
Exercise: Calculate prob of sequence jvjj when four letters picked without replacement from wjvjvvjvjvwjjjwj.
Interpretation: 1/2... | english |
numbers: place value
--------------------
Let us solve: What is the hundreds digit of 5359?
Response: 3
Let us solve: What is the hundreds digit of 44534471?
Response: 4
Let us solve: What is the thousands digit of 4619?
Response: 4
Let us solve: What is the ten thousands digit of 1192708?
Response: 9
Let us solve: Wha... | english |
measurement: conversion
-----------------------
Statement: How many nanograms are there in 6.028416t?
Derivation: 6028416000000000
Statement: How many millilitres are there in 67.45252l?
Derivation: 67452.52
Statement: Convert 0.6323544 kilometers to micrometers.
Derivation: 632354400
Statement: Convert 4845.152 centim... | english |
numbers: place value
--------------------
Problem: What is the hundred thousands digit of 107977302?
Response: 9
Problem: What is the tens digit of 166247256?
Response: 5
Problem: What is the tens digit of 745?
Response: 4
Problem: What is the ten thousands digit of 1454523929?
Response: 2
Problem: What is the thousand... | english |
numbers: div remainder
----------------------
Q/A: Calculate the remainder when 202 is divided by 147.
Solution: 55
Q/A: Calculate the remainder when 92477438 is divided by 821.
Solution: 819
Q/A: What is the remainder when 34601 is divided by 6?
Solution: 5
Q/A: Calculate the remainder when 2951453 is divided by 42.
S... | english |
measurement: time
-----------------
Q.: How many minutes are there between 5:46 PM and 5:25 AM?
Resolution: 699
Q.: What is 292 minutes after 7:03 AM?
Resolution: 11:55 AM
Q.: What is 691 minutes before 9:11 PM?
Resolution: 9:40 AM
Q.: How many minutes are there between 3:50 PM and 7:21 PM?
Resolution: 211
Q.: How many... | english |
numbers: place value
--------------------
Qn: What is the units digit of 270740?
Answer: 0
Qn: What is the hundreds digit of 1988?
Answer: 9
Qn: What is the hundred millions digit of 2128497497?
Answer: 1
Qn: What is the hundreds digit of 21881?
Answer: 8
Qn: What is the hundreds digit of 2977843?
Answer: 8
Qn: What is... | english |
numbers: place value
--------------------
Item: What is the hundreds digit of 1301?
Result: 3
Item: What is the units digit of 16485473?
Result: 3
Item: What is the hundreds digit of 2317?
Result: 3
Item: What is the units digit of 1882916?
Result: 6
Item: What is the hundreds digit of 711820?
Result: 8
Item: What is t... | english |
numbers: is prime
-----------------
Part A: Is 107482321 a composite number?
Eval: False
Part A: Is 13147 a composite number?
Eval: False
Part A: Is 23459 a composite number?
Eval: False
Part A: Is 46338307 a composite number?
Eval: True
Part A: Is 35292875699 prime?
Eval: True
Part A: Is 170097724237 composite?
Eval: ... | english |
numbers: gcd
------------
Topic: What is the greatest common divisor of 82 and 710366?
Response: 82
Topic: What is the greatest common divisor of 162 and 51545889?
Response: 81
Topic: What is the highest common divisor of 4042242 and 18?
Response: 18
Topic: Calculate the highest common divisor of 39 and 678.
Response: ... | english |
probability: swr p level set
----------------------------
Conundrum: Calculate prob of picking 2 h and 1 v when three letters picked without replacement from {h: 4, v: 3, o: 7}.
Compute: 9/182
Conundrum: Four letters picked without replacement from {r: 8, a: 1, s: 3, q: 1, b: 6}. Give prob of picking 1 b and 3 r.
Compu... | english |
arithmetic: nearest integer root
--------------------------------
Request: What is the square root of 155229 to the nearest integer?
Key: 394
Request: What is the third root of 358909968 to the nearest integer?
Key: 711
Request: What is 24653 to the power of 1/3, to the nearest integer?
Key: 29
Request: What is the thi... | english |
probability: swr p level set
----------------------------
Q=: Two letters picked without replacement from fffjfjjf. Give prob of picking 2 f.
Final Answer: 5/14
Q=: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from {e: 4, n: 3, m: 1}.
Final Answer: 3/28
Q=: Two letters picked with... | english |
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