text stringlengths 256 2k | language stringclasses 2
values |
|---|---|
numbers: div remainder
----------------------
Part A: Calculate the remainder when 275 is divided by 170.
Sol: 105
Part A: Calculate the remainder when 4535 is divided by 28.
Sol: 27
Part A: Calculate the remainder when 193 is divided by 22.
Sol: 17
Part A: What is the remainder when 996208 is divided by 123?
Sol: 31
P... | english |
numbers: is prime
-----------------
Q: Is 643919 a prime number?
Interpretation: True
Q: Is 42047 composite?
Interpretation: True
Q: Is 198376309 composite?
Interpretation: True
Q: Is 4461753 a composite number?
Interpretation: True
Q: Is 82828739 prime?
Interpretation: False
Q: Is 69947745239 prime?
Interpretation: Tr... | english |
numbers: is prime
-----------------
Subquestion: Is 45053520467 a prime number?
Compute: True
Subquestion: Is 3936831 prime?
Compute: False
Subquestion: Is 1736213 a composite number?
Compute: False
Subquestion: Is 1075523 composite?
Compute: True
Subquestion: Is 6305018 a prime number?
Compute: False
Subquestion: Is 5... | english |
numbers: gcd
------------
Q: Calculate the greatest common factor of 260 and 10276.
A: 4
Q: What is the greatest common factor of 26622 and 210222?
A: 918
Q: What is the greatest common factor of 388 and 48985?
A: 97
Q: What is the greatest common divisor of 16150 and 110466?
A: 646
Q: Calculate the highest common divi... | english |
measurement: time
-----------------
Input: What is 474 minutes after 5:47 PM?
Response: 1:41 AM
Input: What is 132 minutes before 7:38 PM?
Response: 5:26 PM
Input: What is 406 minutes before 7:45 AM?
Response: 12:59 AM
Input: How many minutes are there between 10:21 AM and 11:17 AM?
Response: 56
Input: What is 331 minu... | english |
probability: swr p level set
----------------------------
Step: Calculate prob of picking 1 s, 2 f, and 1 m when four letters picked without replacement from {v: 1, s: 1, l: 1, f: 5, m: 1}.
Interpretation: 5/63
Step: Three letters picked without replacement from vededevdxdi. Give prob of picking 3 d.
Interpretation: 4/... | english |
numbers: place value
--------------------
Statement: What is the hundreds digit of 2495794?
= : 7
Statement: What is the hundreds digit of 1188?
= : 1
Statement: What is the hundreds digit of 30345?
= : 3
Statement: What is the units digit of 399461?
= : 1
Statement: What is the millions digit of 251318785?
= : 1
State... | english |
numbers: place value
--------------------
Question: What is the tens digit of 19248291?
Outcome: 9
Question: What is the units digit of 5217019?
Outcome: 9
Question: What is the hundred thousands digit of 2304834?
Outcome: 3
Question: What is the tens digit of 15366?
Outcome: 6
Question: What is the billions digit of 4... | english |
numbers: place value
--------------------
Question: What is the thousands digit of 423714?
Soln: 3
Question: What is the tens digit of 343702718?
Soln: 1
Question: What is the thousands digit of 986576991?
Soln: 6
Question: What is the tens digit of 2179?
Soln: 7
Question: What is the millions digit of 1292137?
Soln: 1... | english |
arithmetic: nearest integer root
--------------------------------
Topic: What is 37288129 to the power of 1/6, to the nearest integer?
Steps: 18
Topic: What is 11 to the power of 1/9, to the nearest integer?
Steps: 1
Topic: What is the square root of 9518 to the nearest integer?
Steps: 98
Topic: What is 472812431 to th... | english |
numbers: is prime
-----------------
Exercise: Is 710121337 a prime number?
Response: True
Exercise: Is 1224408373 prime?
Response: True
Exercise: Is 13252049 a composite number?
Response: True
Exercise: Is 203905393 composite?
Response: False
Exercise: Is 71907311 prime?
Response: False
Exercise: Is 74701 a prime numbe... | english |
numbers: div remainder
----------------------
Subject: Calculate the remainder when 6892890 is divided by 161.
Calculation: 158
Subject: Calculate the remainder when 3896950 is divided by 33.
Calculation: 13
Subject: What is the remainder when 232876 is divided by 46574?
Calculation: 6
Subject: Calculate the remainder ... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is the square root of 1644909 to the nearest integer?
Calculation: 1283
Prompt: What is 59914992 to the power of 1/8, to the nearest integer?
Calculation: 9
Prompt: What is the cube root of 34871 to the nearest integer?
Calculation: 33
Promp... | english |
numbers: is prime
-----------------
Question: Is 234001 a prime number?
Eval: False
Question: Is 14224919 composite?
Eval: False
Question: Is 43517 composite?
Eval: False
Question: Is 2646007855 prime?
Eval: False
Question: Is 13714379 composite?
Eval: True
Question: Is 219445 a prime number?
Eval: False
Question: Is 1... | english |
measurement: conversion
-----------------------
Prompt: What is 96.39889 litres in millilitres?
Reply: 96398.89
Prompt: How many centimeters are there in seventeen quarters of a meter?
Reply: 425
Prompt: How many months are there in 9.180497 millennia?
Reply: 110165.964
Prompt: What is 3/8 of a millimeter in micrometer... | english |
numbers: gcd
------------
Let: What is the greatest common divisor of 206019 and 1764?
= : 9
Let: Calculate the highest common factor of 5834871 and 41454.
= : 441
Let: Calculate the greatest common divisor of 40069 and 34.
= : 17
Let: What is the highest common divisor of 18193008 and 30128?
= : 4304
Let: Calculate th... | english |
numbers: is prime
-----------------
Statement: Is 270875029 a prime number?
Reply: True
Statement: Is 1201781921 a composite number?
Reply: False
Statement: Is 33821135 a prime number?
Reply: False
Statement: Is 4493 composite?
Reply: False
Statement: Is 3769889 a composite number?
Reply: True
Statement: Is 2795087 com... | english |
numbers: place value
--------------------
Conundrum: What is the tens digit of 13228?
Output: 2
Conundrum: What is the thousands digit of 445745?
Output: 5
Conundrum: What is the hundreds digit of 30041?
Output: 0
Conundrum: What is the ten millions digit of 366541300?
Output: 6
Conundrum: What is the tens digit of 704... | english |
arithmetic: nearest integer root
--------------------------------
Situation: What is the square root of 816 to the nearest integer?
A: 29
Situation: What is 377916 to the power of 1/2, to the nearest integer?
A: 615
Situation: What is the cube root of 12461 to the nearest integer?
A: 23
Situation: What is the fourth ro... | english |
numbers: div remainder
----------------------
Topic: What is the remainder when 2287 is divided by 22?
A: 21
Topic: What is the remainder when 1946925 is divided by 754?
A: 97
Topic: Calculate the remainder when 95019 is divided by 31631.
A: 126
Topic: What is the remainder when 232766 is divided by 19372?
A: 302
Topic... | english |
probability: swr p level set
----------------------------
Query: Calculate prob of picking 1 u, 1 k, and 1 o when three letters picked without replacement from ookuu.
A: 2/5
Query: What is prob of picking 1 k, 1 a, and 1 r when three letters picked without replacement from uraiiiuiakkirui?
A: 8/455
Query: What is prob ... | english |
probability: swr p sequence
---------------------------
Ask: Three letters picked without replacement from {j: 1, t: 1, v: 2, x: 2, n: 1, c: 2}. Give prob of sequence xjt.
Result: 1/252
Ask: Three letters picked without replacement from hwhofhhhhohffhwwhfh. Give prob of sequence ofw.
Result: 4/969
Ask: Calculate prob o... | english |
numbers: place value
--------------------
Example: What is the hundreds digit of 4452475?
Workthrough: 4
Example: What is the hundred thousands digit of 32331709?
Workthrough: 3
Example: What is the hundred thousands digit of 613070?
Workthrough: 6
Example: What is the units digit of 1533?
Workthrough: 3
Example: What ... | english |
numbers: place value
--------------------
Q: What is the ten millions digit of 15835443?
Answer: 1
Q: What is the units digit of 123125?
Answer: 5
Q: What is the tens digit of 7994?
Answer: 9
Q: What is the millions digit of 385722832?
Answer: 5
Q: What is the ten thousands digit of 63658828?
Answer: 5
Q: What is the t... | english |
measurement: conversion
-----------------------
Let us solve: What is 18/5 of a litre in millilitres?
= : 3600
Let us solve: How many seconds are there in one ninth of a day?
= : 9600
Let us solve: What is 3/25 of a litre in millilitres?
= : 120
Let us solve: Convert 280.1371 tonnes to milligrams.
= : 280137100000
Let ... | english |
arithmetic: nearest integer root
--------------------------------
Test item: What is 437622 to the power of 1/3, to the nearest integer?
Finding: 76
Test item: What is 1727 to the power of 1/2, to the nearest integer?
Finding: 42
Test item: What is the square root of 1214170 to the nearest integer?
Finding: 1102
Test i... | english |
numbers: lcm
------------
Let us solve: Calculate the common denominator of 53/7214934 and -125/14429868.
Answer: 14429868
Let us solve: Calculate the least common multiple of 9 and 2583.
Answer: 2583
Let us solve: Find the common denominator of -49/5056 and 81/9164.
Answer: 146624
Let us solve: What is the lowest comm... | english |
measurement: time
-----------------
Statement: How many minutes are there between 7:20 AM and 3:12 PM?
Answer: 472
Statement: What is 33 minutes after 1:38 AM?
Answer: 2:11 AM
Statement: What is 345 minutes before 12:14 AM?
Answer: 6:29 PM
Statement: How many minutes are there between 9:28 AM and 10:45 AM?
Answer: 77
S... | english |
numbers: gcd
------------
Ask: Calculate the greatest common factor of 132 and 19976.
Gives: 44
Ask: Calculate the highest common divisor of 34 and 646.
Gives: 34
Ask: Calculate the highest common divisor of 97470 and 810.
Gives: 270
Ask: What is the highest common divisor of 4346241 and 46?
Gives: 23
Ask: What is the ... | english |
numbers: place value
--------------------
Case: What is the ten thousands digit of 28320?
Gives: 2
Case: What is the hundreds digit of 575145389?
Gives: 3
Case: What is the millions digit of 1032037295?
Gives: 2
Case: What is the thousands digit of 1774862?
Gives: 4
Case: What is the hundred thousands digit of 8585872?... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 69298 is divided by 674?
A.: 550
Example: What is the remainder when 2769157 is divided by 2203?
A.: 2189
Example: What is the remainder when 803184 is divided by 1915?
A.: 799
Example: Calculate the remainder when 24228105 is divided by ... | english |
measurement: conversion
-----------------------
Example: How many tonnes are there in 4214.491 micrograms?
Sol: 0.000000004214491
Example: What is twenty-six fifths of a kilometer in meters?
Sol: 5200
Example: How many grams are there in 27/2 of a kilogram?
Sol: 13500
Example: How many kilograms are there in fourty-six... | english |
numbers: is prime
-----------------
Let: Is 195095 composite?
Response: True
Let: Is 485829481 composite?
Response: False
Let: Is 883260571 prime?
Response: True
Let: Is 106405103 composite?
Response: True
Let: Is 649 composite?
Response: True
Let: Is 6229072987 a prime number?
Response: False
Let: Is 3151129 prime?
Re... | english |
numbers: div remainder
----------------------
Topic: What is the remainder when 4814 is divided by 37?
Key: 4
Topic: Calculate the remainder when 566 is divided by 30.
Key: 26
Topic: What is the remainder when 6638 is divided by 1326?
Key: 8
Topic: Calculate the remainder when 382 is divided by 56.
Key: 46
Topic: Calcu... | english |
probability: swr p level set
----------------------------
Issue: Three letters picked without replacement from ikxxsnlik. Give prob of picking 1 x, 1 s, and 1 i.
Output: 1/21
Issue: Calculate prob of picking 4 a when four letters picked without replacement from aiaiaaiaaaaiaiii.
Output: 9/130
Issue: Two letters picked ... | english |
measurement: conversion
-----------------------
Q): What is 0.5967031 weeks in nanoseconds?
Calculation: 360886034880000
Q): How many seconds are there in 7/8 of a hour?
Calculation: 3150
Q): What is thirty-three fifths of a litre in millilitres?
Calculation: 6600
Q): What is 74/3 of a day in minutes?
Calculation: 3552... | english |
numbers: is prime
-----------------
Issue: Is 414503 composite?
Workthrough: False
Issue: Is 311094635 prime?
Workthrough: False
Issue: Is 167285 composite?
Workthrough: True
Issue: Is 31894768739 a prime number?
Workthrough: False
Issue: Is 25772129137 a prime number?
Workthrough: True
Issue: Is 105735661 a prime numb... | english |
measurement: time
-----------------
Prompt: How many minutes are there between 9:04 PM and 9:58 PM?
Sol: 54
Prompt: What is 652 minutes before 4:42 PM?
Sol: 5:50 AM
Prompt: How many minutes are there between 12:37 PM and 10:32 PM?
Sol: 595
Prompt: How many minutes are there between 1:25 AM and 3:41 AM?
Sol: 136
Prompt:... | english |
measurement: time
-----------------
Exercise: What is 617 minutes after 6:39 AM?
Ans: 4:56 PM
Exercise: What is 67 minutes after 7:19 PM?
Ans: 8:26 PM
Exercise: What is 42 minutes before 4:49 PM?
Ans: 4:07 PM
Exercise: How many minutes are there between 6:21 AM and 9:14 AM?
Ans: 173
Exercise: How many minutes are there... | english |
probability: swr p sequence
---------------------------
Request: Three letters picked without replacement from {l: 3, p: 1, u: 1, c: 1, r: 1}. What is prob of sequence lcp?
Outcome: 1/70
Request: What is prob of sequence tvib when four letters picked without replacement from {h: 1, b: 2, v: 1, i: 1, p: 1, t: 2}?
Outcom... | english |
numbers: is prime
-----------------
Prompt: Is 83527771 a composite number?
Compute: False
Prompt: Is 6207 a prime number?
Compute: False
Prompt: Is 4939507 prime?
Compute: False
Prompt: Is 5345 a prime number?
Compute: False
Prompt: Is 127845139 a composite number?
Compute: False
Prompt: Is 59378827 composite?
Compute... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is the square root of 65192 to the nearest integer?
Result: 255
Ask: What is the square root of 367595657 to the nearest integer?
Result: 19173
Ask: What is the ninth root of 3792 to the nearest integer?
Result: 2
Ask: What is the square root o... | english |
numbers: is prime
-----------------
Puzzle: Is 2674760071 composite?
Derivation: False
Puzzle: Is 6268476107 composite?
Derivation: True
Puzzle: Is 104390864759 a composite number?
Derivation: False
Puzzle: Is 853328377 composite?
Derivation: True
Puzzle: Is 10238113 a prime number?
Derivation: True
Puzzle: Is 3802753 ... | english |
measurement: time
-----------------
Topic: What is 517 minutes after 7:49 PM?
Fix: 4:26 AM
Topic: How many minutes are there between 6:30 PM and 8:14 PM?
Fix: 104
Topic: What is 432 minutes before 1:18 PM?
Fix: 6:06 AM
Topic: How many minutes are there between 7:46 PM and 3:32 AM?
Fix: 466
Topic: What is 578 minutes af... | english |
numbers: place value
--------------------
Qn: What is the tens digit of 148620?
Clarification: 2
Qn: What is the hundred thousands digit of 681831?
Clarification: 6
Qn: What is the units digit of 85335677?
Clarification: 7
Qn: What is the thousands digit of 1037565054?
Clarification: 5
Qn: What is the tens digit of 206... | english |
numbers: gcd
------------
Problem #: Calculate the highest common factor of 341 and 31.
Final Answer: 31
Problem #: Calculate the highest common factor of 19872 and 2616.
Final Answer: 24
Problem #: What is the greatest common factor of 100912969 and 21148?
Final Answer: 5287
Problem #: What is the highest common divis... | english |
probability: swr p level set
----------------------------
Math Q: What is prob of picking 1 o and 1 s when two letters picked without replacement from {o: 11, p: 1, k: 6, s: 1}?
Eval: 11/171
Math Q: Calculate prob of picking 2 s when two letters picked without replacement from hvhskkhhrshhhvrsvk.
Eval: 1/51
Math Q: Thr... | english |
numbers: is prime
-----------------
Request: Is 2826728351 a composite number?
Answer: True
Request: Is 237159679 prime?
Answer: True
Request: Is 6779706769 a prime number?
Answer: False
Request: Is 82127163683 a composite number?
Answer: False
Request: Is 24019 prime?
Answer: True
Request: Is 2621029 a prime number?
A... | english |
arithmetic: nearest integer root
--------------------------------
Q): What is 31867 to the power of 1/2, to the nearest integer?
Gives: 179
Q): What is the third root of 22832195 to the nearest integer?
Gives: 284
Q): What is the sixth root of 615 to the nearest integer?
Gives: 3
Q): What is the cube root of 1205086 to... | english |
numbers: is prime
-----------------
Exercise: Is 28673 a composite number?
Thus: True
Exercise: Is 10005041 composite?
Thus: False
Exercise: Is 6987359 a composite number?
Thus: False
Exercise: Is 1481 a prime number?
Thus: True
Exercise: Is 182983 a prime number?
Thus: False
Exercise: Is 12797 a prime number?
Thus: Fa... | english |
numbers: div remainder
----------------------
Input: What is the remainder when 14 is divided by 13?
Fix: 1
Input: What is the remainder when 256436 is divided by 51003?
Fix: 1421
Input: Calculate the remainder when 4780 is divided by 73.
Fix: 35
Input: Calculate the remainder when 17205 is divided by 4296.
Fix: 21
Inp... | english |
probability: swr p sequence
---------------------------
Subquestion: Three letters picked without replacement from {q: 2, a: 1, c: 3, o: 4, y: 1, x: 1}. Give prob of sequence cac.
Answer: 1/220
Subquestion: Two letters picked without replacement from nrrnnnrrnnssns. What is prob of sequence ns?
Answer: 3/26
Subquestion... | english |
probability: swr p level set
----------------------------
Given: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {q: 7, r: 2, c: 1}.
Ans: 14/45
Given: Calculate prob of picking 1 t and 2 q when three letters picked without replacement from qqqqqtt.
Ans: 4/7
Given: Calculate prob o... | english |
numbers: is factor
------------------
Scenario: Is 96950 a multiple of 277?
Response: True
Scenario: Is 2047345 a multiple of 7?
Response: False
Scenario: Does 133 divide 2232923332?
Response: False
Scenario: Does 15 divide 14302300?
Response: False
Scenario: Does 193 divide 113379973?
Response: True
Scenario: Does 3 d... | english |
probability: swr p sequence
---------------------------
What if: Two letters picked without replacement from {p: 4, z: 7, g: 2, j: 5}. Give prob of sequence pz.
Derivation: 14/153
What if: Three letters picked without replacement from {f: 4, x: 14}. Give prob of sequence fxf.
Derivation: 7/204
What if: What is prob of ... | english |
numbers: is prime
-----------------
Subquestion: Is 3595 prime?
Output: False
Subquestion: Is 74837 a prime number?
Output: False
Subquestion: Is 65 a composite number?
Output: True
Subquestion: Is 8888111 a prime number?
Output: False
Subquestion: Is 2235997 composite?
Output: False
Subquestion: Is 1492658 a prime num... | english |
probability: swr p level set
----------------------------
Topic: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {g: 2, f: 2, x: 4, k: 3, w: 1, d: 8}.
→: 2/95
Topic: Three letters picked without replacement from {z: 2, s: 1, r: 1, g: 3, i: 1, a: 3}. What is prob of picking 1 g, 1 ... | english |
numbers: gcd
------------
Given: Calculate the greatest common divisor of 72 and 30897.
Response: 9
Given: What is the highest common factor of 312 and 72?
Response: 24
Given: Calculate the highest common divisor of 15960 and 1862.
Response: 266
Given: Calculate the highest common factor of 363 and 33.
Response: 33
Giv... | english |
numbers: is factor
------------------
Statement: Is 3981 a multiple of 22?
Thus: False
Statement: Is 51743021 a multiple of 226?
Thus: False
Statement: Is 105742 a multiple of 26?
Thus: True
Statement: Is 16 a factor of 99280?
Thus: True
Statement: Is 118 a factor of 15228372?
Thus: True
Statement: Does 6 divide 622?
T... | english |
numbers: div remainder
----------------------
Exercise: What is the remainder when 972651 is divided by 580?
Output: 571
Exercise: What is the remainder when 1900694 is divided by 106?
Output: 8
Exercise: What is the remainder when 325225 is divided by 472?
Output: 17
Exercise: What is the remainder when 84 is divided ... | english |
arithmetic: nearest integer root
--------------------------------
Question: What is the seventh root of 16552 to the nearest integer?
Eval: 4
Question: What is 557120277 to the power of 1/6, to the nearest integer?
Eval: 29
Question: What is the cube root of 1428429 to the nearest integer?
Eval: 113
Question: What is t... | english |
numbers: div remainder
----------------------
Inquiry: Calculate the remainder when 1316 is divided by 166.
Output: 154
Inquiry: What is the remainder when 302595 is divided by 148?
Output: 83
Inquiry: What is the remainder when 2693 is divided by 888?
Output: 29
Inquiry: Calculate the remainder when 922894 is divided ... | english |
numbers: is prime
-----------------
Example: Is 102119 composite?
Final Answer: True
Example: Is 1102001 a prime number?
Final Answer: True
Example: Is 2098771163 prime?
Final Answer: True
Example: Is 74181257 composite?
Final Answer: False
Example: Is 26497745 prime?
Final Answer: False
Example: Is 178056299 prime?
Fi... | english |
measurement: conversion
-----------------------
Subquestion: How many millilitres are there in twenty-five quarters of a litre?
Final Answer: 6250
Subquestion: What is 57.33041km in micrometers?
Final Answer: 57330410000
Subquestion: What is 37/2 of a litre in millilitres?
Final Answer: 18500
Subquestion: How many mill... | english |
numbers: gcd
------------
Conundrum: Calculate the greatest common divisor of 149104 and 288.
Key: 16
Conundrum: What is the greatest common factor of 2238564 and 89991?
Key: 303
Conundrum: Calculate the greatest common factor of 9 and 177432.
Key: 3
Conundrum: Calculate the highest common factor of 22 and 410960.
Key:... | english |
measurement: time
-----------------
Problem: How many minutes are there between 3:22 PM and 10:01 PM?
Sol: 399
Problem: What is 115 minutes after 12:49 PM?
Sol: 2:44 PM
Problem: What is 195 minutes after 4:11 PM?
Sol: 7:26 PM
Problem: How many minutes are there between 4:00 PM and 3:31 AM?
Sol: 691
Problem: What is 670... | english |
numbers: is prime
-----------------
Input: Is 496366771 prime?
Response: True
Input: Is 485749 a composite number?
Response: True
Input: Is 171453319 a prime number?
Response: False
Input: Is 15227 a prime number?
Response: True
Input: Is 517 a prime number?
Response: False
Input: Is 29683 a composite number?
Response:... | english |
numbers: place value
--------------------
Q=: What is the millions digit of 38698118?
Gives: 8
Q=: What is the hundreds digit of 316893?
Gives: 8
Q=: What is the millions digit of 28302020?
Gives: 8
Q=: What is the thousands digit of 5064?
Gives: 5
Q=: What is the thousands digit of 20186?
Gives: 0
Q=: What is the ten ... | english |
numbers: lcm
------------
Math Problem: Calculate the lowest common multiple of 12 and 60.
Fix: 60
Math Problem: Find the common denominator of 151/3024 and -105/46.
Fix: 69552
Math Problem: What is the common denominator of 23/412 and -40/103?
Fix: 412
Math Problem: Calculate the common denominator of 25/7 and 7/444.
... | english |
numbers: div remainder
----------------------
Problem #: What is the remainder when 46080 is divided by 341?
Answer: 45
Problem #: What is the remainder when 14751 is divided by 369?
Answer: 360
Problem #: What is the remainder when 230 is divided by 62?
Answer: 44
Problem #: Calculate the remainder when 2065 is divide... | english |
measurement: conversion
-----------------------
Situation: How many millimeters are there in 971.4162 nanometers?
Sol: 0.0009714162
Situation: Convert 1916281.8ns to days.
Sol: 0.0000000221791875
Situation: What is 3.846355 years in millennia?
Sol: 0.003846355
Situation: What is 3/5 of a meter in millimeters?
Sol: 600
... | english |
measurement: conversion
-----------------------
Exercise: Convert 365.0727nm to millimeters.
Reply: 0.0003650727
Exercise: What is 0.542216 millilitres in litres?
Reply: 0.000542216
Exercise: Convert 2556.229 millilitres to litres.
Reply: 2.556229
Exercise: How many litres are there in 0.0899434 millilitres?
Reply: 0.0... | english |
numbers: place value
--------------------
Q=: What is the tens digit of 384900193?
Hence: 9
Q=: What is the tens digit of 9158821?
Hence: 2
Q=: What is the tens digit of 96043?
Hence: 4
Q=: What is the hundreds digit of 99875?
Hence: 8
Q=: What is the hundred thousands digit of 49920548?
Hence: 9
Q=: What is the units ... | english |
numbers: is prime
-----------------
Example: Is 887030009 composite?
Finding: False
Example: Is 60045677 a prime number?
Finding: True
Example: Is 1204421 a prime number?
Finding: True
Example: Is 7258829 composite?
Finding: True
Example: Is 13936079 a composite number?
Finding: False
Example: Is 328337 composite?
Find... | english |
numbers: place value
--------------------
Test item: What is the units digit of 6970?
Response: 0
Test item: What is the ten thousands digit of 564379255?
Response: 7
Test item: What is the units digit of 1853?
Response: 3
Test item: What is the thousands digit of 10442?
Response: 0
Test item: What is the thousands dig... | english |
numbers: gcd
------------
Q.: What is the highest common factor of 951499 and 340158?
Result: 89
Q.: What is the greatest common factor of 448 and 371?
Result: 7
Q.: What is the greatest common divisor of 58 and 493?
Result: 29
Q.: What is the highest common factor of 100 and 1055?
Result: 5
Q.: Calculate the greatest ... | english |
measurement: conversion
-----------------------
Query: How many micrometers are there in 75/4 of a millimeter?
Result: 18750
Query: Convert 7521.199g to micrograms.
Result: 7521199000
Query: Convert 146373.7 millennia to centuries.
Result: 1463737
Query: How many years are there in thirteen quarters of a millennium?
Re... | english |
arithmetic: nearest integer root
--------------------------------
Task: What is the third root of 354848552 to the nearest integer?
Conclusion: 708
Task: What is the square root of 351226 to the nearest integer?
Conclusion: 593
Task: What is the sixth root of 1428 to the nearest integer?
Conclusion: 3
Task: What is 891... | english |
numbers: place value
--------------------
Inquiry: What is the tens digit of 89641?
Gives: 4
Inquiry: What is the thousands digit of 201701959?
Gives: 1
Inquiry: What is the thousands digit of 1644390816?
Gives: 0
Inquiry: What is the thousands digit of 7700195?
Gives: 0
Inquiry: What is the thousands digit of 6475952?... | english |
numbers: div remainder
----------------------
Qn: Calculate the remainder when 365 is divided by 113.
Soln: 26
Qn: Calculate the remainder when 105 is divided by 70.
Soln: 35
Qn: What is the remainder when 415525 is divided by 869?
Soln: 143
Qn: What is the remainder when 53 is divided by 22?
Soln: 9
Qn: Calculate the ... | english |
probability: swr p sequence
---------------------------
Statement: What is prob of sequence jcc when three letters picked without replacement from jcccjjc?
Solution: 6/35
Statement: Three letters picked without replacement from {b: 11, v: 5}. Give prob of sequence bvb.
Solution: 55/336
Statement: Three letters picked w... | english |
probability: swr p level set
----------------------------
Task: Four letters picked without replacement from ufufuuuu. Give prob of picking 4 u.
Conclusion: 3/14
Task: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from cccccjcjc.
Conclusion: 7/18
Task: What is prob of picking 2 m, 1 ... | english |
measurement: time
-----------------
Query: What is 663 minutes after 3:00 PM?
Result: 2:03 AM
Query: How many minutes are there between 12:15 PM and 12:10 AM?
Result: 715
Query: How many minutes are there between 11:21 PM and 4:00 AM?
Result: 279
Query: What is 620 minutes after 1:08 AM?
Result: 11:28 AM
Query: How man... | english |
probability: swr p sequence
---------------------------
Q.: Calculate prob of sequence wf when two letters picked without replacement from gfgfwwwfffggww.
Thus: 25/182
Q.: Three letters picked without replacement from {e: 4, h: 2}. What is prob of sequence heh?
Thus: 1/15
Q.: Four letters picked without replacement fro... | english |
probability: swr p level set
----------------------------
Exercise: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {h: 5, c: 4, a: 3}.
Gives: 2/11
Exercise: Four letters picked without replacement from {o: 3, i: 17}. Give prob of picking 3 o and 1 i.
Gives: 1/285
Exercise: Calc... | english |
numbers: gcd
------------
Input: Calculate the highest common factor of 10 and 3610.
Sol: 10
Input: What is the greatest common factor of 86323860 and 56?
Sol: 28
Input: Calculate the greatest common divisor of 157 and 2.
Sol: 1
Input: What is the highest common factor of 26845 and 280?
Sol: 35
Input: What is the great... | english |
probability: swr p level set
----------------------------
Puzzle: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {t: 5, f: 7, k: 2}.
Output: 5/13
Puzzle: Calculate prob of picking 3 g and 1 a when four letters picked without replacement from {a: 2, g: 4}.
Output: 8/15
Puzzle: Wha... | english |
probability: swr p level set
----------------------------
Math Q: Two letters picked without replacement from {g: 3, h: 11}. Give prob of picking 1 g and 1 h.
Hence: 33/91
Math Q: Three letters picked without replacement from {r: 7, y: 1, t: 10}. Give prob of picking 2 t and 1 y.
Hence: 15/272
Math Q: Four letters pick... | english |
numbers: is factor
------------------
Given: Is 1634 a factor of 24465882?
Clarification: True
Given: Does 109 divide 9379359?
Clarification: False
Given: Is 131763 a multiple of 17?
Clarification: False
Given: Is 54788160 a multiple of 2240?
Clarification: True
Given: Is 1484 a factor of 75500548?
Clarification: False... | english |
numbers: gcd
------------
Math Problem: Calculate the greatest common divisor of 31 and 121867.
Answer: 1
Math Problem: Calculate the greatest common divisor of 306 and 308550.
Answer: 102
Math Problem: What is the greatest common factor of 152 and 114?
Answer: 38
Math Problem: What is the greatest common factor of 433... | english |
numbers: lcm
------------
Problem Statement: What is the common denominator of 3/3374 and 19/10604?
Reply: 74228
Problem Statement: What is the common denominator of -19/2005 and 53/3208?
Reply: 16040
Problem Statement: What is the common denominator of -7/2067 and -5/239877?
Reply: 165275253
Problem Statement: What is... | english |
numbers: is prime
-----------------
Inquiry: Is 1489185377 a composite number?
Compute: True
Inquiry: Is 655723403 a composite number?
Compute: True
Inquiry: Is 31291991 a prime number?
Compute: True
Inquiry: Is 98663 composite?
Compute: False
Inquiry: Is 4489890569 prime?
Compute: False
Inquiry: Is 6403380791 composit... | english |
measurement: time
-----------------
Question: What is 481 minutes after 7:36 PM?
Result: 3:37 AM
Question: How many minutes are there between 11:50 PM and 12:01 AM?
Result: 11
Question: How many minutes are there between 4:24 PM and 9:46 PM?
Result: 322
Question: What is 317 minutes before 4:50 PM?
Result: 11:33 AM
Que... | english |
probability: swr p sequence
---------------------------
Challenge: Calculate prob of sequence sb when two letters picked without replacement from {i: 3, a: 1, s: 11, b: 3, d: 1}.
Response: 11/114
Challenge: What is prob of sequence uyk when three letters picked without replacement from {s: 1, k: 2, h: 3, c: 1, y: 5, u:... | english |
numbers: gcd
------------
Math Q: What is the highest common divisor of 33984 and 3153609?
Hence: 531
Math Q: Calculate the highest common divisor of 69 and 2047.
Hence: 23
Math Q: Calculate the highest common factor of 8379 and 12441884.
Hence: 931
Math Q: Calculate the highest common divisor of 229069008 and 96.
Henc... | english |
numbers: place value
--------------------
Prompt: What is the thousands digit of 50225149?
Explanation: 5
Prompt: What is the thousands digit of 500820?
Explanation: 0
Prompt: What is the hundred millions digit of 393675832?
Explanation: 3
Prompt: What is the hundreds digit of 909?
Explanation: 9
Prompt: What is the mi... | english |
numbers: is prime
-----------------
Part A: Is 95341097 composite?
Finding: False
Part A: Is 524417 a composite number?
Finding: True
Part A: Is 71155481 prime?
Finding: True
Part A: Is 2053 prime?
Finding: True
Part A: Is 6658643 a prime number?
Finding: False
Part A: Is 8154979 composite?
Finding: True
Part A: Is 181... | english |
measurement: time
-----------------
Scenario: How many minutes are there between 12:59 AM and 5:50 AM?
Math A: 291
Scenario: What is 56 minutes before 5:06 AM?
Math A: 4:10 AM
Scenario: What is 103 minutes before 5:20 PM?
Math A: 3:37 PM
Scenario: What is 255 minutes before 5:02 PM?
Math A: 12:47 PM
Scenario: How many ... | english |
probability: swr p sequence
---------------------------
Q=: Two letters picked without replacement from ydyllyyidjlb. Give prob of sequence ib.
Eval: 1/132
Q=: Calculate prob of sequence wwm when three letters picked without replacement from owwmwowewweeoo.
Eval: 5/364
Q=: Three letters picked without replacement from ... | english |
measurement: conversion
-----------------------
Example: Convert 587.5372 micrometers to meters.
Result: 0.0005875372
Example: What is 1699.317 tonnes in milligrams?
Result: 1699317000000
Example: How many millimeters are there in nine tenths of a centimeter?
Result: 9
Example: How many years are there in 7/4 of a cent... | english |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.