text stringlengths 256 2k | language stringclasses 2
values |
|---|---|
probability: swr p level set
----------------------------
Issue: Calculate prob of picking 1 g, 1 v, and 2 e when four letters picked without replacement from {v: 2, e: 3, f: 1, g: 4, u: 3, m: 2}.
Interpretation: 8/455
Issue: Three letters picked without replacement from {z: 1, m: 8, p: 3, r: 1, i: 2, b: 2}. What is pr... | english |
numbers: is prime
-----------------
Conundrum: Is 1728871 a composite number?
Derivation: False
Conundrum: Is 708655 a composite number?
Derivation: True
Conundrum: Is 172097593 composite?
Derivation: True
Conundrum: Is 3779 composite?
Derivation: False
Conundrum: Is 9588091 prime?
Derivation: True
Conundrum: Is 376921... | english |
numbers: place value
--------------------
Problem: What is the hundreds digit of 308389?
Soln: 3
Problem: What is the hundred thousands digit of 303299?
Soln: 3
Problem: What is the ten thousands digit of 28383?
Soln: 2
Problem: What is the hundreds digit of 224?
Soln: 2
Problem: What is the units digit of 284?
Soln: 4... | english |
probability: swr p level set
----------------------------
Problem: Calculate prob of picking 4 b when four letters picked without replacement from {b: 4, a: 5, c: 1}.
Conclusion: 1/210
Problem: What is prob of picking 2 u when two letters picked without replacement from uuucuuc?
Conclusion: 10/21
Problem: Four letters ... | english |
numbers: is factor
------------------
Topic: Is 6 a factor of 58219?
Outcome: False
Topic: Is 928 a multiple of 41?
Outcome: False
Topic: Is 442343176 a multiple of 498?
Outcome: False
Topic: Is 5376 a factor of 613901568?
Outcome: True
Topic: Is 6 a factor of 2470?
Outcome: False
Topic: Is 389 a factor of 20890?
Outco... | english |
probability: swr p sequence
---------------------------
Part A: Three letters picked without replacement from {b: 1, u: 2, v: 1, r: 1}. Give prob of sequence vub.
Workthrough: 1/30
Part A: What is prob of sequence xwoh when four letters picked without replacement from wxoxuuxwxohhxwxxx?
Workthrough: 1/595
Part A: What ... | english |
numbers: div remainder
----------------------
Given: Calculate the remainder when 29142 is divided by 8.
Sol: 6
Given: What is the remainder when 8772251 is divided by 2193011?
Sol: 207
Given: Calculate the remainder when 2572 is divided by 853.
Sol: 13
Given: What is the remainder when 118 is divided by 17?
Sol: 16
Gi... | english |
numbers: place value
--------------------
Problem: What is the hundreds digit of 1560596048?
Resolution: 0
Problem: What is the tens digit of 10386?
Resolution: 8
Problem: What is the tens digit of 515745?
Resolution: 4
Problem: What is the units digit of 3375268?
Resolution: 8
Problem: What is the hundreds digit of 17... | english |
numbers: gcd
------------
Inquiry: Calculate the highest common divisor of 63859 and 133.
Therefore: 19
Inquiry: What is the greatest common factor of 48 and 6?
Therefore: 6
Inquiry: Calculate the highest common factor of 18 and 27009.
Therefore: 9
Inquiry: Calculate the greatest common factor of 10005 and 2415.
Theref... | english |
numbers: gcd
------------
Q=: Calculate the greatest common divisor of 70 and 1022.
Fix: 14
Q=: Calculate the highest common divisor of 252 and 868.
Fix: 28
Q=: What is the greatest common factor of 1045 and 2?
Fix: 1
Q=: What is the greatest common factor of 1146550 and 69?
Fix: 23
Q=: What is the greatest common fact... | english |
numbers: is prime
-----------------
Test item: Is 313820461 composite?
Conclusion: True
Test item: Is 512711 prime?
Conclusion: True
Test item: Is 1167651229 prime?
Conclusion: True
Test item: Is 174169 composite?
Conclusion: False
Test item: Is 2427179 a composite number?
Conclusion: False
Test item: Is 67999 a compos... | english |
numbers: place value
--------------------
Exercise: What is the hundred thousands digit of 55233592?
Response: 2
Exercise: What is the millions digit of 5894558?
Response: 5
Exercise: What is the ten thousands digit of 11286?
Response: 1
Exercise: What is the thousands digit of 3498?
Response: 3
Exercise: What is the h... | english |
numbers: place value
--------------------
Problem #: What is the thousands digit of 19449520?
Sol: 9
Problem #: What is the hundreds digit of 2514?
Sol: 5
Problem #: What is the ten thousands digit of 22930?
Sol: 2
Problem #: What is the thousands digit of 346736?
Sol: 6
Problem #: What is the thousands digit of 277026... | english |
numbers: gcd
------------
Request: What is the highest common factor of 192 and 2806712?
Yields: 8
Request: Calculate the greatest common factor of 300795 and 165.
Yields: 165
Request: What is the greatest common divisor of 17 and 125273?
Yields: 17
Request: What is the highest common divisor of 923 and 13?
Yields: 13
... | english |
numbers: div remainder
----------------------
Topic: Calculate the remainder when 215 is divided by 18.
Answer: 17
Topic: Calculate the remainder when 19907 is divided by 343.
Answer: 13
Topic: Calculate the remainder when 874 is divided by 58.
Answer: 4
Topic: Calculate the remainder when 38450 is divided by 575.
Answ... | english |
numbers: round number
---------------------
Math Problem: Round 0.0003122 to four dps.
Clarification: 0.0003
Math Problem: Round 1196247.517 to the nearest ten thousand.
Clarification: 1200000
Math Problem: Round -2.789892501 to three dps.
Clarification: -2.79
Math Problem: Round 0.03008624 to three dps.
Clarification:... | english |
numbers: is factor
------------------
Inquiry: Does 11 divide 4400?
Calculation: True
Inquiry: Is 4752 a multiple of 36?
Calculation: True
Inquiry: Is 815689361 a multiple of 696?
Calculation: False
Inquiry: Is 17 a factor of 1893630?
Calculation: True
Inquiry: Is 4 a factor of 464960630?
Calculation: False
Inquiry: Is... | english |
probability: swr p level set
----------------------------
Problem: Two letters picked without replacement from jvjvvjvvvvvvvvjvjv. What is prob of picking 2 v?
Steps: 26/51
Problem: What is prob of picking 1 g and 1 s when two letters picked without replacement from ghcghshhghgcgchh?
Steps: 1/24
Problem: What is prob o... | english |
probability: swr p sequence
---------------------------
Question: Calculate prob of sequence fx when two letters picked without replacement from {x: 18, f: 2}.
Gives: 9/95
Question: Four letters picked without replacement from {j: 3, s: 2, c: 2, l: 3, m: 5}. What is prob of sequence mllj?
Gives: 1/364
Question: Two let... | english |
arithmetic: nearest integer root
--------------------------------
Task: What is the third root of 391024 to the nearest integer?
Math A: 73
Task: What is the fifth root of 220049448 to the nearest integer?
Math A: 47
Task: What is 944560 to the power of 1/2, to the nearest integer?
Math A: 972
Task: What is 196610578 t... | english |
numbers: is factor
------------------
Example: Does 94 divide 60254?
Solution: True
Example: Is 190137 a multiple of 183?
Solution: True
Example: Is 137 a factor of 4980307?
Solution: False
Example: Does 6 divide 4194816?
Solution: True
Example: Does 4 divide 28357?
Solution: False
Example: Does 631 divide 291748?
Solu... | english |
numbers: is factor
------------------
Example: Does 15 divide 2166063645?
Calculation: True
Example: Does 110 divide 183120?
Calculation: False
Example: Does 81 divide 136566?
Calculation: True
Example: Is 9297437 a multiple of 103?
Calculation: False
Example: Does 2 divide 5268?
Calculation: True
Example: Does 8 divid... | english |
probability: swr p sequence
---------------------------
Q: Calculate prob of sequence rrs when three letters picked without replacement from {r: 4, s: 2}.
Reply: 1/5
Q: What is prob of sequence id when two letters picked without replacement from sisisiddsi?
Reply: 4/45
Q: Calculate prob of sequence tntt when four lette... | english |
numbers: gcd
------------
Query: Calculate the highest common factor of 7140 and 5040.
Thus: 420
Query: What is the greatest common divisor of 184 and 6532?
Thus: 92
Query: What is the highest common divisor of 32 and 224?
Thus: 32
Query: Calculate the greatest common factor of 14745728 and 64.
Thus: 64
Query: Calculat... | english |
measurement: conversion
-----------------------
Exercise: How many nanograms are there in fifty-four fifths of a microgram?
Soln: 10800
Exercise: Convert 5856.33 kilograms to milligrams.
Soln: 5856330000
Exercise: How many seconds are there in 9/25 of a day?
Soln: 31104
Exercise: How many millilitres are there in 12/25... | english |
probability: swr p sequence
---------------------------
Task: Two letters picked without replacement from hrroaohrharoaa. What is prob of sequence or?
Hence: 6/91
Task: What is prob of sequence kdw when three letters picked without replacement from iwmdxki?
Hence: 1/210
Task: What is prob of sequence lvtt when four let... | english |
numbers: place value
--------------------
Exercise: What is the tens digit of 3235362?
Explanation: 6
Exercise: What is the units digit of 529806451?
Explanation: 1
Exercise: What is the tens digit of 8391865?
Explanation: 6
Exercise: What is the thousands digit of 39646?
Explanation: 9
Exercise: What is the ten millio... | english |
numbers: place value
--------------------
Given: What is the units digit of 13621666?
Final Answer: 6
Given: What is the units digit of 1532162168?
Final Answer: 8
Given: What is the millions digit of 1123537?
Final Answer: 1
Given: What is the ten thousands digit of 33674?
Final Answer: 3
Given: What is the tens digit... | english |
numbers: place value
--------------------
Q/A: What is the tens digit of 4271?
Math A: 7
Q/A: What is the thousands digit of 25964?
Math A: 5
Q/A: What is the hundreds digit of 3677?
Math A: 6
Q/A: What is the tens digit of 157138?
Math A: 3
Q/A: What is the tens digit of 1520?
Math A: 2
Q/A: What is the hundreds digit... | english |
measurement: conversion
-----------------------
Prompt: What is 7/8 of a millimeter in micrometers?
Soln: 875
Prompt: What is 11.66962ml in litres?
Soln: 0.01166962
Prompt: How many millilitres are there in three eighths of a litre?
Soln: 375
Prompt: How many decades are there in 3/10 of a century?
Soln: 3
Prompt: What... | english |
numbers: gcd
------------
Case: Calculate the greatest common factor of 13124 and 8.
Soln: 4
Case: What is the greatest common factor of 368 and 5224?
Soln: 8
Case: Calculate the greatest common divisor of 330 and 1265.
Soln: 55
Case: Calculate the highest common factor of 575 and 4485.
Soln: 115
Case: Calculate the gr... | english |
numbers: place value
--------------------
Q: What is the millions digit of 1323708?
Fix: 1
Q: What is the hundred thousands digit of 307036374?
Fix: 0
Q: What is the hundreds digit of 490?
Fix: 4
Q: What is the hundreds digit of 645982?
Fix: 9
Q: What is the thousands digit of 52578263?
Fix: 8
Q: What is the units digi... | english |
numbers: place value
--------------------
Challenge: What is the ten thousands digit of 5456962?
Final Answer: 5
Challenge: What is the hundreds digit of 1313?
Final Answer: 3
Challenge: What is the units digit of 22033?
Final Answer: 3
Challenge: What is the tens digit of 949737390?
Final Answer: 9
Challenge: What is ... | english |
numbers: div remainder
----------------------
Qn: What is the remainder when 38789231 is divided by 119?
Reply: 110
Qn: What is the remainder when 959 is divided by 192?
Reply: 191
Qn: Calculate the remainder when 64392 is divided by 21394.
Reply: 210
Qn: What is the remainder when 324630 is divided by 5687?
Reply: 471... | english |
probability: swr p level set
----------------------------
Item: What is prob of picking 1 q, 1 p, 1 t, and 1 s when four letters picked without replacement from hhqphqqtshsqhshqthqs?
Outcome: 16/1615
Item: Four letters picked without replacement from {y: 6}. Give prob of picking 4 y.
Outcome: 1
Item: Three letters pick... | english |
numbers: is factor
------------------
Conundrum: Is 12 a factor of 809292?
Derivation: True
Conundrum: Is 5 a factor of 4342097?
Derivation: False
Conundrum: Is 14086260 a multiple of 36?
Derivation: True
Conundrum: Does 2194 divide 853373429?
Derivation: False
Conundrum: Is 30 a factor of 110?
Derivation: False
Conund... | english |
probability: swr p level set
----------------------------
Given: Calculate prob of picking 3 x when three letters picked without replacement from {a: 5, x: 14}.
A.: 364/969
Given: What is prob of picking 2 k and 1 y when three letters picked without replacement from mmykmyyky?
A.: 1/21
Given: Calculate prob of picking ... | english |
numbers: is prime
-----------------
Situation: Is 14632134587 prime?
Key: False
Situation: Is 305703527 prime?
Key: True
Situation: Is 3049 a prime number?
Key: True
Situation: Is 53276291 a composite number?
Key: True
Situation: Is 80337935 prime?
Key: False
Situation: Is 9403 composite?
Key: False
Situation: Is 82371... | english |
numbers: is prime
-----------------
Given: Is 59577275299 composite?
Calculation: False
Given: Is 1496179 composite?
Calculation: True
Given: Is 10611899 a composite number?
Calculation: True
Given: Is 132541 a prime number?
Calculation: True
Given: Is 2595286307 composite?
Calculation: True
Given: Is 97406549 a prime ... | english |
numbers: place value
--------------------
Let: What is the units digit of 126241?
Yields: 1
Let: What is the ten thousands digit of 699938693?
Yields: 3
Let: What is the millions digit of 2007725?
Yields: 2
Let: What is the hundreds digit of 498139885?
Yields: 8
Let: What is the thousands digit of 3225007?
Yields: 5
Le... | english |
numbers: is prime
-----------------
Question: Is 223631699 prime?
Calculation: False
Question: Is 1271483 prime?
Calculation: True
Question: Is 30669953 prime?
Calculation: True
Question: Is 36845 prime?
Calculation: False
Question: Is 27767996057 a composite number?
Calculation: False
Question: Is 23708665993 prime?
C... | english |
numbers: is factor
------------------
Let: Does 681 divide 39423680?
Resolution: False
Let: Is 63 a multiple of 5?
Resolution: False
Let: Does 153 divide 38986593?
Resolution: False
Let: Is 1152877 a multiple of 19?
Resolution: False
Let: Is 73 a factor of 1314?
Resolution: True
Let: Is 192 a factor of 7557312?
Resolut... | english |
probability: swr p sequence
---------------------------
Case: Four letters picked without replacement from {t: 15, o: 5}. Give prob of sequence otot.
Fix: 35/969
Case: Two letters picked without replacement from {a: 5, x: 3, i: 9, s: 2}. What is prob of sequence xs?
Fix: 1/57
Case: Four letters picked without replaceme... | english |
numbers: place value
--------------------
Inquiry: What is the ten thousands digit of 12766710?
Response: 6
Inquiry: What is the tens digit of 3230?
Response: 3
Inquiry: What is the units digit of 1103371593?
Response: 3
Inquiry: What is the hundreds digit of 1511?
Response: 5
Inquiry: What is the hundreds digit of 604... | english |
probability: swr p sequence
---------------------------
Exercise: Three letters picked without replacement from pupprrrrurrrrpp. What is prob of sequence uup?
Solution: 1/273
Exercise: Calculate prob of sequence ooow when four letters picked without replacement from {w: 2, o: 7}.
Solution: 5/36
Exercise: Calculate prob... | english |
numbers: gcd
------------
Issue: Calculate the greatest common factor of 54 and 7803.
Gives: 27
Issue: What is the greatest common divisor of 21079811 and 3131?
Gives: 101
Issue: Calculate the highest common divisor of 201561443 and 2185.
Gives: 437
Issue: What is the highest common divisor of 64665 and 23625?
Gives: 1... | english |
numbers: is prime
-----------------
Issue: Is 1531295 prime?
Eval: False
Issue: Is 39281 composite?
Eval: True
Issue: Is 21548783 a composite number?
Eval: True
Issue: Is 15959 a prime number?
Eval: True
Issue: Is 265 a composite number?
Eval: True
Issue: Is 1586867869 a composite number?
Eval: False
Issue: Is 90072607... | english |
measurement: time
-----------------
Conundrum: What is 293 minutes after 6:51 AM?
Output: 11:44 AM
Conundrum: How many minutes are there between 9:15 AM and 3:09 PM?
Output: 354
Conundrum: What is 467 minutes before 7:27 AM?
Output: 11:40 PM
Conundrum: What is 20 minutes after 10:59 AM?
Output: 11:19 AM
Conundrum: How ... | english |
measurement: conversion
-----------------------
Statement: How many meters are there in 15/4 of a kilometer?
Steps: 3750
Statement: How many millilitres are there in 738.0962 litres?
Steps: 738096.2
Statement: How many kilometers are there in 0.6475354 nanometers?
Steps: 0.0000000000006475354
Statement: Convert 72.0523... | english |
arithmetic: nearest integer root
--------------------------------
Let us solve: What is 54774 to the power of 1/5, to the nearest integer?
Output: 9
Let us solve: What is 2406 to the power of 1/4, to the nearest integer?
Output: 7
Let us solve: What is the sixth root of 35844 to the nearest integer?
Output: 6
Let us so... | english |
probability: swr p sequence
---------------------------
Task: Three letters picked without replacement from zhllzhalhlzllz. What is prob of sequence llz?
Hence: 5/91
Task: Three letters picked without replacement from fpjlpzpjfp. What is prob of sequence jjz?
Hence: 1/360
Task: Three letters picked without replacement ... | english |
numbers: gcd
------------
Prompt: Calculate the greatest common factor of 28 and 2034767.
Therefore: 7
Prompt: What is the highest common factor of 15 and 48?
Therefore: 3
Prompt: What is the greatest common divisor of 459 and 26707?
Therefore: 17
Prompt: Calculate the highest common factor of 28728 and 151007976.
Ther... | english |
arithmetic: nearest integer root
--------------------------------
Q=: What is the third root of 5882695 to the nearest integer?
Compute: 181
Q=: What is 1029819 to the power of 1/8, to the nearest integer?
Compute: 6
Q=: What is the cube root of 775734319 to the nearest integer?
Compute: 919
Q=: What is the cube root o... | english |
measurement: time
-----------------
Query: What is 292 minutes after 9:02 PM?
Solution: 1:54 AM
Query: What is 400 minutes after 1:40 PM?
Solution: 8:20 PM
Query: How many minutes are there between 7:52 AM and 1:33 PM?
Solution: 341
Query: What is 154 minutes before 5:49 PM?
Solution: 3:15 PM
Query: What is 154 minutes... | english |
numbers: is factor
------------------
Exercise: Is 1565 a factor of 575264775?
Answer: False
Exercise: Is 56 a factor of 889?
Answer: False
Exercise: Is 37872 a multiple of 24?
Answer: True
Exercise: Is 39 a factor of 7413354?
Answer: True
Exercise: Does 13 divide 1186861?
Answer: True
Exercise: Is 1607 a factor of 322... | english |
probability: swr p sequence
---------------------------
Puzzle: Three letters picked without replacement from cscsskcikiikckic. Give prob of sequence kcs.
Answer: 1/56
Puzzle: Two letters picked without replacement from {h: 5}. Give prob of sequence hh.
Answer: 1
Puzzle: Calculate prob of sequence ieie when four letter... | english |
arithmetic: nearest integer root
--------------------------------
Task: What is the cube root of 1651398 to the nearest integer?
Explanation: 118
Task: What is the third root of 2594 to the nearest integer?
Explanation: 14
Task: What is the seventh root of 16937 to the nearest integer?
Explanation: 4
Task: What is the ... | english |
numbers: is factor
------------------
Prompt: Is 148514 a multiple of 118?
Compute: False
Prompt: Does 79 divide 28845033?
Compute: True
Prompt: Does 146 divide 327642688?
Compute: True
Prompt: Does 42 divide 798?
Compute: True
Prompt: Is 6005 a factor of 1243451415?
Compute: False
Prompt: Is 27387 a multiple of 71?
Co... | english |
numbers: gcd
------------
Request: What is the greatest common divisor of 40495 and 43680?
Steps: 455
Request: What is the greatest common factor of 26434902 and 975?
Steps: 39
Request: Calculate the greatest common factor of 520700947 and 3914.
Steps: 1957
Request: What is the greatest common factor of 73673223 and 17... | english |
probability: swr p sequence
---------------------------
Math Problem: Two letters picked without replacement from {w: 2, g: 2}. What is prob of sequence gw?
Interpretation: 1/3
Math Problem: What is prob of sequence zzzv when four letters picked without replacement from {z: 7, v: 7}?
Interpretation: 35/572
Math Problem... | english |
numbers: gcd
------------
Q: Calculate the greatest common factor of 126 and 1062.
Derivation: 18
Q: What is the highest common factor of 87 and 233160?
Derivation: 87
Q: What is the highest common divisor of 1320 and 96?
Derivation: 24
Q: Calculate the highest common divisor of 6390269 and 14191.
Derivation: 617
Q: Ca... | english |
numbers: is factor
------------------
Example: Does 305 divide 611852?
Interpretation: False
Example: Is 801 a factor of 774075186?
Interpretation: True
Example: Does 36 divide 36?
Interpretation: True
Example: Is 653 a multiple of 3?
Interpretation: False
Example: Is 69 a factor of 2101993989?
Interpretation: True
Exa... | english |
measurement: time
-----------------
Test item: How many minutes are there between 1:39 PM and 3:45 PM?
Hence: 126
Test item: How many minutes are there between 12:23 PM and 4:48 PM?
Hence: 265
Test item: What is 82 minutes after 11:53 AM?
Hence: 1:15 PM
Test item: How many minutes are there between 4:42 PM and 2:01 AM?... | english |
probability: swr p level set
----------------------------
Query: Four letters picked without replacement from ufffffuf. What is prob of picking 2 f and 2 u?
Solution: 3/14
Query: Three letters picked without replacement from {p: 2, r: 4, g: 4, f: 1}. What is prob of picking 2 p and 1 f?
Solution: 1/165
Query: What is p... | english |
measurement: conversion
-----------------------
Problem: What is fifty-five quarters of a litre in millilitres?
Finding: 13750
Problem: What is nine tenths of a micrometer in nanometers?
Finding: 900
Problem: How many millilitres are there in 339.8019l?
Finding: 339801.9
Problem: How many millilitres are there in five ... | english |
probability: swr p level set
----------------------------
Task: Three letters picked without replacement from {b: 3, w: 11}. What is prob of picking 3 w?
Calculation: 165/364
Task: Two letters picked without replacement from {l: 15, y: 5}. What is prob of picking 2 y?
Calculation: 1/19
Task: What is prob of picking 1 e... | english |
measurement: time
-----------------
Example: What is 439 minutes before 1:40 PM?
Calculation: 6:21 AM
Example: How many minutes are there between 7:18 PM and 10:19 PM?
Calculation: 181
Example: What is 366 minutes before 11:08 PM?
Calculation: 5:02 PM
Example: How many minutes are there between 1:10 AM and 7:21 AM?
Cal... | english |
numbers: div remainder
----------------------
Item: Calculate the remainder when 211 is divided by 13.
Solution: 3
Item: What is the remainder when 443 is divided by 30?
Solution: 23
Item: Calculate the remainder when 746 is divided by 153.
Solution: 134
Item: What is the remainder when 598974 is divided by 199651?
Sol... | english |
numbers: is factor
------------------
Let us solve: Is 594 a factor of 318384?
Key: True
Let us solve: Is 219 a factor of 4225167?
Key: True
Let us solve: Is 17 a factor of 568?
Key: False
Let us solve: Is 1853 a factor of 30561529?
Key: True
Let us solve: Is 637 a factor of 1049906431?
Key: False
Let us solve: Is 6 a ... | english |
numbers: is factor
------------------
Qn: Is 44 a factor of 287320?
Resolution: True
Qn: Does 56 divide 7269002?
Resolution: False
Qn: Is 866945456 a multiple of 2021?
Resolution: False
Qn: Does 4 divide 414?
Resolution: False
Qn: Does 126 divide 17473?
Resolution: False
Qn: Is 7 a factor of 6475?
Resolution: True
Qn: ... | english |
numbers: is prime
-----------------
Subject: Is 167074 a prime number?
Response: False
Subject: Is 39360272447 prime?
Response: True
Subject: Is 17657 composite?
Response: False
Subject: Is 2334678223 composite?
Response: False
Subject: Is 21816155489 composite?
Response: False
Subject: Is 66446 composite?
Response: Tr... | english |
numbers: gcd
------------
What if: What is the highest common factor of 1383 and 12538278?
Response: 1383
What if: Calculate the greatest common factor of 90 and 110.
Response: 10
What if: Calculate the highest common divisor of 245 and 2009.
Response: 49
What if: Calculate the highest common factor of 20585 and 3401.
... | english |
numbers: is prime
-----------------
Qn: Is 217851877 prime?
Therefore: True
Qn: Is 32576419 prime?
Therefore: False
Qn: Is 123815 a prime number?
Therefore: False
Qn: Is 141084967 a composite number?
Therefore: True
Qn: Is 8545967 a prime number?
Therefore: True
Qn: Is 7632842509 a composite number?
Therefore: True
Qn:... | english |
probability: swr p sequence
---------------------------
Math Q: Calculate prob of sequence ounn when four letters picked without replacement from oxunoxxnxxoxtouuxxn.
A: 1/1292
Math Q: Three letters picked without replacement from {i: 1, r: 1, y: 1, z: 1, f: 1}. Give prob of sequence fiy.
A: 1/60
Math Q: What is prob o... | english |
probability: swr p sequence
---------------------------
What if: Two letters picked without replacement from {l: 5, q: 4, c: 1, a: 4, k: 1}. Give prob of sequence lk.
Calculation: 1/42
What if: Three letters picked without replacement from {a: 4, f: 1, g: 1, o: 7, b: 2}. Give prob of sequence gba.
Calculation: 4/1365
W... | english |
probability: swr p sequence
---------------------------
What if: What is prob of sequence sv when two letters picked without replacement from sasrrvvshhrt?
Calculation: 1/22
What if: Calculate prob of sequence grp when three letters picked without replacement from {g: 2, p: 1, w: 9, k: 1, r: 3, a: 3}.
Calculation: 1/96... | english |
numbers: is factor
------------------
Math Q: Is 1000149696 a multiple of 5?
Derivation: False
Math Q: Is 220 a multiple of 22?
Derivation: True
Math Q: Is 2001617 a multiple of 28?
Derivation: False
Math Q: Is 9 a factor of 20907?
Derivation: True
Math Q: Does 39 divide 64248?
Derivation: False
Math Q: Is 5 a factor o... | english |
numbers: is prime
-----------------
Problem #: Is 4663 a composite number?
Calculation: False
Problem #: Is 3668801 a composite number?
Calculation: False
Problem #: Is 1829 prime?
Calculation: False
Problem #: Is 1597 prime?
Calculation: True
Problem #: Is 6329 prime?
Calculation: True
Problem #: Is 6128531 prime?
Cal... | english |
measurement: time
-----------------
Step: How many minutes are there between 11:35 PM and 7:18 AM?
Explanation: 463
Step: What is 481 minutes before 1:07 PM?
Explanation: 5:06 AM
Step: What is 630 minutes before 1:01 PM?
Explanation: 2:31 AM
Step: What is 700 minutes after 5:18 PM?
Explanation: 4:58 AM
Step: How many m... | english |
probability: swr p level set
----------------------------
Prompt: Calculate prob of picking 2 x when two letters picked without replacement from xmxhrxxh.
Reply: 3/14
Prompt: Two letters picked without replacement from {s: 3, e: 4}. What is prob of picking 2 e?
Reply: 2/7
Prompt: What is prob of picking 2 y when two le... | english |
probability: swr p level set
----------------------------
Q-: Two letters picked without replacement from {i: 3, r: 1, w: 1}. Give prob of picking 1 i and 1 r.
Gives: 3/10
Q-: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from fmmfmf.
Gives: 3/5
Q-: Two letters picked without replace... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 6179 is divided by 1257?
A: 1151
Example: What is the remainder when 284 is divided by 41?
A: 38
Example: Calculate the remainder when 90 is divided by 13.
A: 12
Example: What is the remainder when 12635 is divided by 33?
A: 29
Example: C... | english |
numbers: place value
--------------------
Puzzle: What is the tens digit of 61207?
Calculation: 0
Puzzle: What is the units digit of 38036?
Calculation: 6
Puzzle: What is the hundred millions digit of 106080707?
Calculation: 1
Puzzle: What is the tens digit of 223680?
Calculation: 8
Puzzle: What is the ten millions dig... | english |
numbers: is prime
-----------------
Example: Is 2020171 a prime number?
Steps: True
Example: Is 6995 composite?
Steps: True
Example: Is 168466819 composite?
Steps: True
Example: Is 145403209 prime?
Steps: False
Example: Is 74566981101 prime?
Steps: False
Example: Is 1835666611 composite?
Steps: True
Example: Is 1250649... | english |
probability: swr p level set
----------------------------
Q): Two letters picked without replacement from {j: 1, t: 11}. Give prob of picking 1 j and 1 t.
Gives: 1/6
Q): Two letters picked without replacement from {u: 5}. What is prob of picking 2 u?
Gives: 1
Q): What is prob of picking 2 a when two letters picked with... | english |
numbers: is prime
-----------------
Subquestion: Is 17276917247 prime?
Compute: False
Subquestion: Is 4471 a composite number?
Compute: True
Subquestion: Is 183851671 a composite number?
Compute: True
Subquestion: Is 14479884589 prime?
Compute: False
Subquestion: Is 7283 prime?
Compute: True
Subquestion: Is 78377 prime... | english |
probability: swr p sequence
---------------------------
Exercise: Four letters picked without replacement from rvrvssssvssrsz. Give prob of sequence ssrv.
Response: 9/572
Exercise: Four letters picked without replacement from {h: 2, v: 7, z: 1}. What is prob of sequence hhvv?
Response: 1/60
Exercise: Three letters pick... | english |
numbers: is prime
-----------------
Question: Is 87753 composite?
Calculation: True
Question: Is 3893215 a prime number?
Calculation: False
Question: Is 201210441 composite?
Calculation: True
Question: Is 250460761 a prime number?
Calculation: False
Question: Is 73134431 a prime number?
Calculation: True
Question: Is 2... | english |
probability: swr p level set
----------------------------
Problem: Three letters picked without replacement from {n: 2, s: 5, j: 9}. Give prob of picking 2 n and 1 s.
Steps: 1/112
Problem: Calculate prob of picking 1 d and 3 i when four letters picked without replacement from diddidddid.
Steps: 1/30
Problem: Calculate ... | english |
numbers: is prime
-----------------
Question: Is 1029103 composite?
Result: False
Question: Is 320035249 prime?
Result: True
Question: Is 3784775227 a composite number?
Result: False
Question: Is 1575259 composite?
Result: True
Question: Is 150711427 composite?
Result: False
Question: Is 7455179 prime?
Result: True
Que... | english |
arithmetic: nearest integer root
--------------------------------
Scenario: What is 94054 to the power of 1/7, to the nearest integer?
Finding: 5
Scenario: What is 1011706954 to the power of 1/2, to the nearest integer?
Finding: 31807
Scenario: What is the third root of 1602481 to the nearest integer?
Finding: 117
Scen... | english |
numbers: place value
--------------------
Task: What is the tens digit of 92319829?
Calculation: 2
Task: What is the hundreds digit of 14137761?
Calculation: 7
Task: What is the ten thousands digit of 2202551281?
Calculation: 5
Task: What is the hundreds digit of 155196?
Calculation: 1
Task: What is the hundreds digit ... | english |
arithmetic: nearest integer root
--------------------------------
Request: What is 3235929 to the power of 1/9, to the nearest integer?
Conclusion: 5
Request: What is 549466 to the power of 1/2, to the nearest integer?
Conclusion: 741
Request: What is the fifth root of 296019433 to the nearest integer?
Conclusion: 49
R... | english |
probability: swr p level set
----------------------------
Part A: Calculate prob of picking 2 d and 2 l when four letters picked without replacement from {x: 1, l: 4, d: 5, q: 1}.
Response: 2/11
Part A: Calculate prob of picking 4 w when four letters picked without replacement from {w: 11, s: 1}.
Response: 2/3
Part A: ... | english |
probability: swr p sequence
---------------------------
What if: What is prob of sequence unnz when four letters picked without replacement from unnuuuz?
A: 1/105
What if: Four letters picked without replacement from fhmppdphfffhhppppd. What is prob of sequence mpdf?
A: 7/9180
What if: Three letters picked without repl... | english |
numbers: is prime
-----------------
What if: Is 21677 composite?
Result: True
What if: Is 336481 a prime number?
Result: False
What if: Is 53137273 prime?
Result: False
What if: Is 10055 a composite number?
Result: True
What if: Is 212285 composite?
Result: True
What if: Is 993 composite?
Result: True
What if: Is 38950... | english |
numbers: place value
--------------------
Request: What is the hundred thousands digit of 110421?
Workthrough: 1
Request: What is the hundred thousands digit of 869030?
Workthrough: 8
Request: What is the millions digit of 5401603263?
Workthrough: 1
Request: What is the hundred thousands digit of 9497306?
Workthrough: ... | english |
measurement: conversion
-----------------------
Situation: What is 601878.5cm in millimeters?
A: 6018785
Situation: What is 7/4 of a kilometer in meters?
A: 1750
Situation: What is 3/8 of a litre in millilitres?
A: 375
Situation: What is 1.55208 kilograms in grams?
A: 1552.08
Situation: What is seven halves of a microm... | english |
probability: swr p level set
----------------------------
Q-: Four letters picked without replacement from {h: 4, s: 1, u: 2, b: 1}. Give prob of picking 1 h, 1 s, and 2 u.
Solution: 2/35
Q-: Two letters picked without replacement from {f: 2, b: 11}. Give prob of picking 2 b.
Solution: 55/78
Q-: Three letters picked wi... | english |
measurement: time
-----------------
Case: How many minutes are there between 12:56 PM and 12:24 AM?
A: 688
Case: What is 605 minutes before 2:11 PM?
A: 4:06 AM
Case: How many minutes are there between 12:53 AM and 2:48 AM?
A: 115
Case: How many minutes are there between 4:26 PM and 5:25 PM?
A: 59
Case: How many minutes... | english |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.