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arithmetic: nearest integer root
--------------------------------
Given: What is 1368910 to the power of 1/2, to the nearest integer?
Sol: 1170
Given: What is 6850756 to the power of 1/10, to the nearest integer?
Sol: 5
Given: What is the cube root of 189384506 to the nearest integer?
Sol: 574
Given: What is the third ... | english |
numbers: is factor
------------------
Problem: Does 35 divide 168771602?
Hence: False
Problem: Does 3 divide 81?
Hence: True
Problem: Is 457 a factor of 10988565?
Hence: True
Problem: Does 19 divide 779?
Hence: True
Problem: Is 62 a factor of 80618419?
Hence: False
Problem: Does 863 divide 43437815?
Hence: False
Proble... | english |
probability: swr p level set
----------------------------
Given: What is prob of picking 1 s and 1 b when two letters picked without replacement from {r: 1, b: 2, t: 3, s: 1, m: 2, g: 3}?
Key: 1/33
Given: What is prob of picking 1 u and 2 o when three letters picked without replacement from ouogoguoudotgu?
Key: 10/91
G... | english |
probability: swr p sequence
---------------------------
Conundrum: Three letters picked without replacement from hohhhsohztztoohhho. Give prob of sequence zhh.
Soln: 7/306
Conundrum: Calculate prob of sequence smlm when four letters picked without replacement from {v: 2, m: 5, s: 7, l: 3}.
Soln: 1/136
Conundrum: Four l... | english |
numbers: gcd
------------
Query: What is the greatest common factor of 77 and 7426397?
Ans: 11
Query: Calculate the greatest common factor of 6 and 14.
Ans: 2
Query: What is the greatest common divisor of 25783352 and 70?
Ans: 14
Query: Calculate the greatest common divisor of 146694 and 147757.
Ans: 1063
Query: Calcul... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 2718 is divided by 16?
Answer: 14
Example: Calculate the remainder when 422389444 is divided by 1054.
Answer: 1052
Example: Calculate the remainder when 1442926 is divided by 313.
Answer: 309
Example: Calculate the remainder when 26369 is... | english |
probability: swr p level set
----------------------------
Subject: What is prob of picking 1 y, 1 b, and 2 v when four letters picked without replacement from bvmyvy?
→: 2/15
Subject: Calculate prob of picking 1 h, 1 v, 1 j, and 1 q when four letters picked without replacement from pkqhpqvj.
→: 1/35
Subject: Calculate ... | english |
numbers: is prime
-----------------
Subject: Is 16014731 composite?
Calculation: True
Subject: Is 40452778186 a prime number?
Calculation: False
Subject: Is 2142181 prime?
Calculation: True
Subject: Is 288049 prime?
Calculation: True
Subject: Is 576881 composite?
Calculation: False
Subject: Is 69281617 a composite numb... | english |
numbers: is prime
-----------------
Qn: Is 6803 a prime number?
Resolution: True
Qn: Is 6349886219 prime?
Resolution: False
Qn: Is 26437379 composite?
Resolution: True
Qn: Is 318187 a prime number?
Resolution: False
Qn: Is 6711 composite?
Resolution: True
Qn: Is 14461757 a prime number?
Resolution: True
Qn: Is 9867521 ... | english |
measurement: conversion
-----------------------
Example: What is 21/5 of a century in months?
Eval: 5040
Example: What is 0.6860268ml in litres?
Eval: 0.0006860268
Example: How many kilograms are there in 86335.95ug?
Eval: 0.00008633595
Example: What is 7/16 of a kilometer in centimeters?
Eval: 43750
Example: Convert 9... | english |
numbers: gcd
------------
Problem #: What is the greatest common divisor of 227358 and 15318?
Eval: 18
Problem #: Calculate the greatest common factor of 72969 and 10599215.
Eval: 1871
Problem #: Calculate the greatest common divisor of 192 and 4088904.
Eval: 24
Problem #: Calculate the greatest common factor of 87658 ... | english |
numbers: is prime
-----------------
Item: Is 203233827857 composite?
Response: True
Item: Is 7668823 a composite number?
Response: False
Item: Is 79297 a prime number?
Response: False
Item: Is 46070475901 a composite number?
Response: False
Item: Is 27179 a composite number?
Response: False
Item: Is 256049 prime?
Respo... | english |
numbers: place value
--------------------
Problem #: What is the units digit of 233?
Gives: 3
Problem #: What is the hundreds digit of 125?
Gives: 1
Problem #: What is the hundreds digit of 4045?
Gives: 0
Problem #: What is the tens digit of 121506216?
Gives: 1
Problem #: What is the ten millions digit of 49725419?
Giv... | english |
measurement: time
-----------------
Problem Statement: What is 657 minutes after 10:07 PM?
Fix: 9:04 AM
Problem Statement: How many minutes are there between 9:30 PM and 1:55 AM?
Fix: 265
Problem Statement: What is 418 minutes before 3:07 AM?
Fix: 8:09 PM
Problem Statement: How many minutes are there between 8:36 PM an... | english |
numbers: is prime
-----------------
Prompt: Is 933293 a prime number?
Response: True
Prompt: Is 764401 a composite number?
Response: True
Prompt: Is 12015939547 a composite number?
Response: True
Prompt: Is 2725450121 prime?
Response: True
Prompt: Is 32478013 a composite number?
Response: False
Prompt: Is 2567 a compos... | english |
numbers: list prime factors
---------------------------
Conundrum: List the prime factors of 1426.
Interpretation: 2, 23, 31
Conundrum: What are the prime factors of 8056?
Interpretation: 2, 19, 53
Conundrum: List the prime factors of 118315218.
Interpretation: 2, 3, 7, 2817029
Conundrum: List the prime factors of 2742... | english |
numbers: place value
--------------------
Prompt: What is the hundred thousands digit of 43256812?
Steps: 2
Prompt: What is the hundreds digit of 1582?
Steps: 5
Prompt: What is the units digit of 19299106?
Steps: 6
Prompt: What is the ten thousands digit of 99655841?
Steps: 5
Prompt: What is the hundreds digit of 599?
... | english |
numbers: is prime
-----------------
Problem #: Is 195949709 composite?
Result: True
Problem #: Is 2583169 a prime number?
Result: True
Problem #: Is 160799189 a composite number?
Result: False
Problem #: Is 6801 composite?
Result: True
Problem #: Is 470755 a prime number?
Result: False
Problem #: Is 272150771 prime?
Re... | english |
arithmetic: nearest integer root
--------------------------------
Math Problem: What is the third root of 109809049 to the nearest integer?
Resolution: 479
Math Problem: What is the third root of 474884 to the nearest integer?
Resolution: 78
Math Problem: What is 8279888 to the power of 1/3, to the nearest integer?
Res... | english |
numbers: lcm
------------
Inquiry: Calculate the lowest common multiple of 9680256 and 4302336.
Response: 38721024
Inquiry: What is the common denominator of 73/7194 and -169/720?
Response: 863280
Inquiry: Calculate the least common multiple of 51072 and 12.
Response: 51072
Inquiry: Calculate the least common multiple ... | english |
numbers: place value
--------------------
Statement: What is the hundreds digit of 131985729?
A: 7
Statement: What is the tens digit of 51994?
A: 9
Statement: What is the tens digit of 68392351?
A: 5
Statement: What is the millions digit of 2292279?
A: 2
Statement: What is the tens digit of 43420?
A: 2
Statement: What ... | english |
probability: swr p sequence
---------------------------
Ask: What is prob of sequence qd when two letters picked without replacement from hduyq?
Final Answer: 1/20
Ask: Calculate prob of sequence uquu when four letters picked without replacement from {q: 1, u: 4, p: 1, j: 3, k: 5}.
Final Answer: 1/1001
Ask: Two letters... | english |
probability: swr p level set
----------------------------
Situation: Four letters picked without replacement from {w: 2, p: 3, j: 7, y: 7}. What is prob of picking 3 j and 1 p?
Interpretation: 35/1292
Situation: Calculate prob of picking 1 b, 1 c, and 1 p when three letters picked without replacement from {p: 4, c: 1, ... | english |
measurement: conversion
-----------------------
Item: How many months are there in two fifteenths of a millennium?
Workthrough: 1600
Item: Convert 315.3564km to micrometers.
Workthrough: 315356400000
Item: How many months are there in 71.68095 millennia?
Workthrough: 860171.4
Item: How many millilitres are there in 25/... | english |
numbers: div remainder
----------------------
Let: What is the remainder when 62212 is divided by 610?
Reply: 602
Let: Calculate the remainder when 43850 is divided by 644.
Reply: 58
Let: What is the remainder when 118396 is divided by 160?
Reply: 156
Let: What is the remainder when 8156 is divided by 312?
Reply: 44
Le... | english |
numbers: is prime
-----------------
Given: Is 179737 composite?
Conclusion: False
Given: Is 4658023 prime?
Conclusion: False
Given: Is 307463113 a composite number?
Conclusion: False
Given: Is 12131 a composite number?
Conclusion: True
Given: Is 36871 composite?
Conclusion: False
Given: Is 29237388221 prime?
Conclusion... | english |
numbers: place value
--------------------
Statement: What is the tens digit of 480857?
Explanation: 5
Statement: What is the millions digit of 6292618?
Explanation: 6
Statement: What is the tens digit of 5850256?
Explanation: 5
Statement: What is the tens digit of 388?
Explanation: 8
Statement: What is the ten thousand... | english |
numbers: div remainder
----------------------
Q-: What is the remainder when 282252 is divided by 2188?
Result: 0
Q-: Calculate the remainder when 391 is divided by 126.
Result: 13
Q-: What is the remainder when 36738 is divided by 26?
Result: 0
Q-: Calculate the remainder when 10681 is divided by 2668.
Result: 9
Q-: W... | english |
numbers: place value
--------------------
Statement: What is the millions digit of 305663869?
Clarification: 5
Statement: What is the units digit of 252146?
Clarification: 6
Statement: What is the units digit of 10737023?
Clarification: 3
Statement: What is the ten thousands digit of 31781769?
Clarification: 8
Statemen... | english |
numbers: place value
--------------------
Part A: What is the tens digit of 4688?
Ans: 8
Part A: What is the thousands digit of 10546?
Ans: 0
Part A: What is the tens digit of 2330?
Ans: 3
Part A: What is the ten thousands digit of 494037?
Ans: 9
Part A: What is the millions digit of 1143268758?
Ans: 3
Part A: What is ... | english |
probability: swr p sequence
---------------------------
Question: Two letters picked without replacement from yri. What is prob of sequence ry?
Gives: 1/6
Question: Calculate prob of sequence ii when two letters picked without replacement from iiikikikiiiikk.
Gives: 36/91
Question: What is prob of sequence ng when two ... | english |
arithmetic: nearest integer root
--------------------------------
Item: What is 684585699 to the power of 1/9, to the nearest integer?
A.: 10
Item: What is the square root of 567313 to the nearest integer?
A.: 753
Item: What is the fifth root of 171504 to the nearest integer?
A.: 11
Item: What is the square root of 103... | english |
numbers: place value
--------------------
Q.: What is the thousands digit of 10082?
Answer: 0
Q.: What is the units digit of 634?
Answer: 4
Q.: What is the ten millions digit of 2546482152?
Answer: 4
Q.: What is the thousands digit of 1410?
Answer: 1
Q.: What is the hundred millions digit of 1134295965?
Answer: 1
Q.: W... | english |
measurement: conversion
-----------------------
Problem Statement: Convert 57.2903km to centimeters.
Calculation: 5729030
Problem Statement: What is eighteen fifths of a meter in millimeters?
Calculation: 3600
Problem Statement: How many years are there in 21/5 of a century?
Calculation: 420
Problem Statement: Convert ... | english |
numbers: is factor
------------------
Prompt: Is 7 a factor of 1206647?
Output: False
Prompt: Is 173 a factor of 799661533?
Output: True
Prompt: Does 9 divide 4356?
Output: True
Prompt: Is 37633456 a multiple of 772?
Output: True
Prompt: Does 44 divide 1855719?
Output: False
Prompt: Is 58 a factor of 3810?
Output: Fals... | english |
measurement: conversion
-----------------------
Situation: How many weeks are there in 47.8141335 minutes?
Ans: 0.004743465625
Situation: How many nanograms are there in three fifths of a microgram?
Ans: 600
Situation: What is 0.02182 millilitres in litres?
Ans: 0.00002182
Situation: How many millimeters are there in 3... | english |
numbers: is factor
------------------
Subquestion: Does 202 divide 3035626?
Resolution: False
Subquestion: Is 3484820805 a multiple of 563?
Resolution: True
Subquestion: Is 6980 a multiple of 7?
Resolution: False
Subquestion: Does 47 divide 392074?
Resolution: True
Subquestion: Does 24 divide 3127343592?
Resolution: Tr... | english |
numbers: div remainder
----------------------
Ask: What is the remainder when 5963357 is divided by 2981378?
Derivation: 601
Ask: Calculate the remainder when 569 is divided by 132.
Derivation: 41
Ask: What is the remainder when 6285425 is divided by 5363?
Derivation: 5352
Ask: What is the remainder when 280 is divided... | english |
measurement: conversion
-----------------------
Problem: How many minutes are there in one tenth of a week?
Soln: 1008
Problem: What is 1.6830711 minutes in hours?
Soln: 0.028051185
Problem: What is 1.42083l in millilitres?
Soln: 1420.83
Problem: What is 19/4 of a second in milliseconds?
Soln: 4750
Problem: Convert 927... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is 11504 to the power of 1/3, to the nearest integer?
Workthrough: 23
Prompt: What is the third root of 437005703 to the nearest integer?
Workthrough: 759
Prompt: What is the square root of 138166 to the nearest integer?
Workthrough: 372
Pro... | english |
measurement: time
-----------------
Q: What is 321 minutes after 6:03 PM?
Result: 11:24 PM
Q: How many minutes are there between 11:16 PM and 6:25 AM?
Result: 429
Q: What is 432 minutes after 5:22 AM?
Result: 12:34 PM
Q: What is 459 minutes after 9:12 PM?
Result: 4:51 AM
Q: How many minutes are there between 12:31 PM a... | english |
measurement: conversion
-----------------------
Challenge: What is 1/6 of a hour in seconds?
Conclusion: 600
Challenge: What is 5/8 of a centimeter in micrometers?
Conclusion: 6250
Challenge: What is 295.02135 months in years?
Conclusion: 24.5851125
Challenge: Convert 7.992013 weeks to hours.
Conclusion: 1342.658184
Ch... | english |
arithmetic: nearest integer root
--------------------------------
Statement: What is 332156260 to the power of 1/2, to the nearest integer?
Compute: 18225
Statement: What is 12056477 to the power of 1/2, to the nearest integer?
Compute: 3472
Statement: What is 1232302392 to the power of 1/2, to the nearest integer?
Com... | english |
measurement: conversion
-----------------------
Test item: How many milligrams are there in 1/20 of a kilogram?
Eval: 50000
Test item: Convert 4715.514ug to tonnes.
Eval: 0.000000004715514
Test item: How many seconds are there in 65/3 of a hour?
Eval: 78000
Test item: How many micrograms are there in 3/10 of a milligra... | english |
measurement: conversion
-----------------------
Request: What is twenty-one quarters of a gram in milligrams?
Ans: 5250
Request: How many meters are there in 25/2 of a kilometer?
Ans: 12500
Request: How many grams are there in five quarters of a kilogram?
Ans: 1250
Request: What is 97405.57 centuries in months?
Ans: 11... | english |
numbers: is factor
------------------
Let us solve: Does 173 divide 23589?
Solution: False
Let us solve: Is 2 a factor of 587?
Solution: False
Let us solve: Is 65304853 a multiple of 14?
Solution: False
Let us solve: Does 227 divide 730999032?
Solution: False
Let us solve: Is 19 a factor of 2211657779?
Solution: True
L... | english |
arithmetic: nearest integer root
--------------------------------
Test item: What is the eighth root of 653663 to the nearest integer?
Thus: 5
Test item: What is 75 to the power of 1/2, to the nearest integer?
Thus: 9
Test item: What is 563023343 to the power of 1/7, to the nearest integer?
Thus: 18
Test item: What is ... | english |
numbers: is factor
------------------
Part A: Is 19152 a multiple of 63?
Conclusion: True
Part A: Is 3201 a multiple of 97?
Conclusion: True
Part A: Does 7 divide 594893733?
Conclusion: True
Part A: Is 121 a factor of 7744?
Conclusion: True
Part A: Does 6 divide 1049?
Conclusion: False
Part A: Is 15 a factor of 214?
Co... | english |
probability: swr p sequence
---------------------------
Math Problem: Three letters picked without replacement from {c: 2, l: 1}. What is prob of sequence ccc?
Soln: 0
Math Problem: Three letters picked without replacement from djjddddd. What is prob of sequence ddj?
Soln: 5/28
Math Problem: Two letters picked without ... | english |
probability: swr p sequence
---------------------------
Q: Calculate prob of sequence qgkq when four letters picked without replacement from yxqxcqxgyxxqqqqkc.
Sol: 1/1904
Q: Four letters picked without replacement from bbrhhbhbhhbr. Give prob of sequence rhbr.
Sol: 5/1188
Q: Three letters picked without replacement fr... | english |
numbers: div remainder
----------------------
Q/A: Calculate the remainder when 40305 is divided by 17.
Derivation: 15
Q/A: What is the remainder when 104179970 is divided by 393?
Derivation: 386
Q/A: Calculate the remainder when 141064865 is divided by 59.
Derivation: 54
Q/A: What is the remainder when 135174 is divid... | english |
numbers: div remainder
----------------------
Request: Calculate the remainder when 205902 is divided by 201341.
Explanation: 4561
Request: What is the remainder when 6459556 is divided by 447?
Explanation: 406
Request: What is the remainder when 11478 is divided by 43?
Explanation: 40
Request: Calculate the remainder ... | english |
numbers: place value
--------------------
Statement: What is the hundred millions digit of 1003311777?
Answer: 0
Statement: What is the tens digit of 3458455?
Answer: 5
Statement: What is the hundred thousands digit of 53101623?
Answer: 1
Statement: What is the thousands digit of 4190?
Answer: 4
Statement: What is the ... | english |
probability: swr p sequence
---------------------------
Given: What is prob of sequence wd when two letters picked without replacement from dwwpd?
Eval: 1/5
Given: Two letters picked without replacement from mddmemmmdmdemm. What is prob of sequence ed?
Eval: 4/91
Given: Four letters picked without replacement from {d: ... | english |
probability: swr p sequence
---------------------------
Item: Two letters picked without replacement from {x: 1, d: 9, f: 1, t: 7}. Give prob of sequence tt.
Final Answer: 7/51
Item: Three letters picked without replacement from zhpsl. What is prob of sequence sph?
Final Answer: 1/60
Item: Calculate prob of sequence vr... | english |
numbers: div remainder
----------------------
Problem: What is the remainder when 4082 is divided by 124?
Response: 114
Problem: What is the remainder when 377456 is divided by 141?
Response: 140
Problem: Calculate the remainder when 441847 is divided by 147280.
Response: 7
Problem: Calculate the remainder when 9257704... | english |
probability: swr p sequence
---------------------------
Ask: What is prob of sequence pip when three letters picked without replacement from {p: 6, n: 6, i: 3}?
Hence: 3/91
Ask: Four letters picked without replacement from {r: 4, w: 3, a: 1, j: 5}. What is prob of sequence jrrw?
Hence: 3/286
Ask: Four letters picked wi... | english |
probability: swr p level set
----------------------------
Prompt: Three letters picked without replacement from gmvgvmmvmmvgmavvvgmm. What is prob of picking 1 a, 1 v, and 1 g?
Result: 7/285
Prompt: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 3, b: 1}.
Result: 1/2
Prompt: ... | english |
numbers: div remainder
----------------------
What if: Calculate the remainder when 16496646 is divided by 256.
Interpretation: 6
What if: Calculate the remainder when 612 is divided by 528.
Interpretation: 84
What if: Calculate the remainder when 959743 is divided by 2620.
Interpretation: 823
What if: Calculate the re... | english |
numbers: gcd
------------
Test item: What is the highest common divisor of 7822040 and 680?
→: 680
Test item: Calculate the greatest common factor of 705 and 15.
→: 15
Test item: Calculate the greatest common factor of 58250736 and 35712.
→: 4464
Test item: Calculate the greatest common factor of 44 and 154.
→: 22
Test... | english |
measurement: conversion
-----------------------
Given: What is 3/32 of a millimeter in nanometers?
Answer: 93750
Given: What is 72.15958s in milliseconds?
Answer: 72159.58
Given: Convert 9.910577 millennia to years.
Answer: 9910.577
Given: How many litres are there in 0.92296ml?
Answer: 0.00092296
Given: How many milli... | english |
measurement: conversion
-----------------------
Challenge: How many years are there in one tenth of a millennium?
Steps: 100
Challenge: What is 27/4 of a meter in centimeters?
Steps: 675
Challenge: How many litres are there in 112.3869ml?
Steps: 0.1123869
Challenge: How many millilitres are there in twenty-one halves o... | english |
numbers: is factor
------------------
Prompt: Does 19 divide 8020577?
Calculation: False
Prompt: Does 381 divide 77490094?
Calculation: False
Prompt: Is 695 a multiple of 5?
Calculation: True
Prompt: Does 55 divide 512517?
Calculation: False
Prompt: Is 122 a factor of 127965?
Calculation: False
Prompt: Is 16587 a multi... | english |
numbers: place value
--------------------
Inquiry: What is the units digit of 674765?
Answer: 5
Inquiry: What is the ten thousands digit of 605117889?
Answer: 1
Inquiry: What is the hundred millions digit of 1844001133?
Answer: 8
Inquiry: What is the hundred millions digit of 315924977?
Answer: 3
Inquiry: What is the h... | english |
numbers: place value
--------------------
Problem: What is the tens digit of 6438?
Solution: 3
Problem: What is the hundred thousands digit of 25942391?
Solution: 9
Problem: What is the thousands digit of 2970609834?
Solution: 9
Problem: What is the units digit of 50?
Solution: 0
Problem: What is the units digit of 122... | english |
numbers: is factor
------------------
Subquestion: Is 2509212 a multiple of 991?
Ans: True
Subquestion: Is 369307240 a multiple of 10?
Ans: True
Subquestion: Does 31 divide 2513945?
Ans: True
Subquestion: Does 8 divide 256?
Ans: True
Subquestion: Does 104 divide 13312?
Ans: True
Subquestion: Is 35 a factor of 470878555... | english |
numbers: gcd
------------
Statement: Calculate the highest common factor of 71101 and 134872.
Resolution: 733
Statement: Calculate the highest common factor of 901 and 4998.
Resolution: 17
Statement: What is the highest common factor of 1024 and 160?
Resolution: 32
Statement: Calculate the greatest common divisor of 28... | english |
measurement: time
-----------------
Let: What is 244 minutes before 6:23 AM?
Answer: 2:19 AM
Let: How many minutes are there between 9:43 AM and 8:01 PM?
Answer: 618
Let: What is 289 minutes before 9:22 AM?
Answer: 4:33 AM
Let: How many minutes are there between 1:43 PM and 11:42 PM?
Answer: 599
Let: What is 488 minute... | english |
numbers: is factor
------------------
Puzzle: Is 278 a factor of 8672145?
Workthrough: False
Puzzle: Is 2008 a factor of 9151771?
Workthrough: False
Puzzle: Does 47 divide 168917049?
Workthrough: False
Puzzle: Is 333 a factor of 38961?
Workthrough: True
Puzzle: Is 24 a factor of 94463?
Workthrough: False
Puzzle: Is 573... | english |
measurement: conversion
-----------------------
Math Problem: How many milligrams are there in three fifths of a gram?
Sol: 600
Math Problem: What is 4045.081 litres in millilitres?
Sol: 4045081
Math Problem: How many millilitres are there in three fifths of a litre?
Sol: 600
Math Problem: How many millilitres are ther... | english |
numbers: gcd
------------
Ask: Calculate the greatest common divisor of 58 and 1737767.
Ans: 29
Ask: What is the highest common factor of 1152 and 54?
Ans: 18
Ask: Calculate the greatest common divisor of 7525 and 2795.
Ans: 215
Ask: Calculate the highest common factor of 27 and 4086.
Ans: 9
Ask: Calculate the greatest... | english |
numbers: div remainder
----------------------
Let us solve: Calculate the remainder when 4784 is divided by 12.
Resolution: 8
Let us solve: What is the remainder when 1733 is divided by 56?
Resolution: 53
Let us solve: Calculate the remainder when 1727656 is divided by 71.
Resolution: 13
Let us solve: Calculate the rem... | english |
arithmetic: nearest integer root
--------------------------------
Q: What is the square root of 6803016 to the nearest integer?
Soln: 2608
Q: What is the square root of 623319202 to the nearest integer?
Soln: 24966
Q: What is the tenth root of 118553154 to the nearest integer?
Soln: 6
Q: What is the sixth root of 47490... | english |
numbers: place value
--------------------
Q/A: What is the tens digit of 1195531?
Conclusion: 3
Q/A: What is the millions digit of 11967103?
Conclusion: 1
Q/A: What is the units digit of 13209?
Conclusion: 9
Q/A: What is the units digit of 384041477?
Conclusion: 7
Q/A: What is the hundred thousands digit of 544598?
Con... | english |
numbers: div remainder
----------------------
Scenario: Calculate the remainder when 5096 is divided by 4.
Gives: 0
Scenario: What is the remainder when 1076003 is divided by 58?
Gives: 45
Scenario: What is the remainder when 4712 is divided by 13?
Gives: 6
Scenario: Calculate the remainder when 33 is divided by 5.
Giv... | english |
numbers: is prime
-----------------
Math Q: Is 5975620709 composite?
Eval: True
Math Q: Is 67386853 prime?
Eval: True
Math Q: Is 12719191 composite?
Eval: False
Math Q: Is 971597801 a prime number?
Eval: True
Math Q: Is 12652037 composite?
Eval: True
Math Q: Is 458020529 prime?
Eval: True
Math Q: Is 782810983 composite... | english |
probability: swr p level set
----------------------------
Puzzle: What is prob of picking 1 s and 1 k when two letters picked without replacement from cgxkqks?
Key: 2/21
Puzzle: Two letters picked without replacement from bogdb. What is prob of picking 1 o and 1 d?
Key: 1/10
Puzzle: Four letters picked without replacem... | english |
probability: swr p sequence
---------------------------
Example: Four letters picked without replacement from {v: 6, y: 1, h: 6, u: 2, q: 3}. What is prob of sequence yhqh?
Yields: 1/816
Example: What is prob of sequence ln when two letters picked without replacement from bnnbhnlbpp?
Yields: 1/30
Example: Four letters ... | english |
comparison: pair
----------------
Statement: Are 44 and 41 equal?
Interpretation: False
Statement: Are 242/117 and 2 nonequal?
Interpretation: True
Statement: Which is smaller: 0.08 or -14?
Interpretation: -14
Statement: Is 3/175 > 0?
Interpretation: True
Statement: Does -5779462/21 = -275213?
Interpretation: False
Sta... | english |
arithmetic: nearest integer root
--------------------------------
Conundrum: What is the square root of 236831429 to the nearest integer?
Response: 15389
Conundrum: What is the sixth root of 163276391 to the nearest integer?
Response: 23
Conundrum: What is 272686704 to the power of 1/3, to the nearest integer?
Response... | english |
probability: swr p sequence
---------------------------
Inquiry: Four letters picked without replacement from kkttbhk. Give prob of sequence bkth.
Solution: 1/140
Inquiry: Two letters picked without replacement from {z: 2, s: 2, a: 1}. What is prob of sequence az?
Solution: 1/10
Inquiry: What is prob of sequence mf whe... | english |
probability: swr p sequence
---------------------------
Ask: What is prob of sequence hbbt when four letters picked without replacement from {b: 5, t: 3, h: 1}?
Outcome: 5/252
Ask: Calculate prob of sequence dd when two letters picked without replacement from {d: 8, y: 5, s: 2, l: 1}.
Outcome: 7/30
Ask: Three letters p... | english |
numbers: lcm
------------
Exercise: What is the least common multiple of 1458440 and 21293224?
Final Answer: 106466120
Exercise: Calculate the common denominator of 123/20 and -23/3711508.
Final Answer: 18557540
Exercise: Find the common denominator of 2/39 and -41/1404312.
Final Answer: 1404312
Exercise: What is the c... | english |
probability: swr p sequence
---------------------------
Qn: Two letters picked without replacement from njj. Give prob of sequence jj.
Explanation: 1/3
Qn: Four letters picked without replacement from gggiigiigg. Give prob of sequence iigi.
Explanation: 1/35
Qn: Calculate prob of sequence kat when three letters picked ... | english |
numbers: div remainder
----------------------
Q: What is the remainder when 617574 is divided by 2499?
Eval: 321
Q: What is the remainder when 154685 is divided by 2951?
Eval: 1233
Q: Calculate the remainder when 7053813 is divided by 694.
Eval: 691
Q: What is the remainder when 27792943 is divided by 1154?
Eval: 7
Q: ... | english |
probability: swr p level set
----------------------------
Test item: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from nrawwnrwnmwrwxw.
Sol: 1/35
Test item: Three letters picked without replacement from frrrrrrrrf. Give prob of picking 3 r.
Sol: 7/15
Test item: Calculate prob of pic... | english |
numbers: round number
---------------------
Problem Statement: Round 0.000118692664 to six dps.
Solution: 0.000119
Problem Statement: Round 304.3376 to the nearest one hundred.
Solution: 300
Problem Statement: Round 68.86 to the nearest one hundred.
Solution: 100
Problem Statement: What is -0.7337476 rounded to three d... | english |
numbers: place value
--------------------
Ask: What is the millions digit of 128139750?
Answer: 8
Ask: What is the hundred thousands digit of 267031?
Answer: 2
Ask: What is the ten millions digit of 20954148?
Answer: 2
Ask: What is the tens digit of 1475?
Answer: 7
Ask: What is the hundred thousands digit of 2778269975... | english |
measurement: time
-----------------
Math Problem: What is 293 minutes before 8:55 AM?
Resolution: 4:02 AM
Math Problem: What is 197 minutes before 11:28 AM?
Resolution: 8:11 AM
Math Problem: What is 371 minutes after 8:55 PM?
Resolution: 3:06 AM
Math Problem: What is 453 minutes before 2:36 PM?
Resolution: 7:03 AM
Math... | english |
arithmetic: nearest integer root
--------------------------------
Given: What is 691099 to the power of 1/3, to the nearest integer?
Conclusion: 88
Given: What is 893219646 to the power of 1/7, to the nearest integer?
Conclusion: 19
Given: What is 132560064 to the power of 1/2, to the nearest integer?
Conclusion: 11513... | english |
measurement: time
-----------------
What if: How many minutes are there between 12:37 AM and 11:08 AM?
Conclusion: 631
What if: What is 420 minutes after 4:41 PM?
Conclusion: 11:41 PM
What if: How many minutes are there between 3:52 AM and 12:20 PM?
Conclusion: 508
What if: What is 171 minutes before 5:57 AM?
Conclusio... | english |
measurement: time
-----------------
Input: How many minutes are there between 4:36 PM and 11:37 PM?
A: 421
Input: How many minutes are there between 8:36 PM and 11:50 PM?
A: 194
Input: What is 611 minutes before 2:29 PM?
A: 4:18 AM
Input: How many minutes are there between 2:25 PM and 9:03 PM?
A: 398
Input: What is 687... | english |
probability: swr p level set
----------------------------
Conundrum: Three letters picked without replacement from {x: 1, w: 1, p: 2, g: 2, q: 4}. Give prob of picking 1 q and 2 p.
Output: 1/30
Conundrum: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from qhhhhhheehhhhh.
Output: 11... | english |
numbers: is prime
-----------------
Scenario: Is 7238829193 composite?
Output: True
Scenario: Is 39607 a prime number?
Output: True
Scenario: Is 78947 prime?
Output: False
Scenario: Is 851342941 a prime number?
Output: False
Scenario: Is 12451 composite?
Output: False
Scenario: Is 83861033 composite?
Output: True
Scena... | english |
probability: swr p sequence
---------------------------
Math Problem: Calculate prob of sequence sqzs when four letters picked without replacement from {z: 8, o: 2, t: 1, q: 1, d: 1, s: 3}.
Response: 1/910
Math Problem: Calculate prob of sequence xxx when three letters picked without replacement from xexxxxxxxxee.
Resp... | english |
measurement: time
-----------------
Math Problem: How many minutes are there between 12:17 AM and 9:29 AM?
= : 552
Math Problem: How many minutes are there between 11:40 PM and 1:50 AM?
= : 130
Math Problem: What is 697 minutes before 3:39 PM?
= : 4:02 AM
Math Problem: What is 305 minutes after 11:05 PM?
= : 4:10 AM
Ma... | english |
numbers: div remainder
----------------------
Let: What is the remainder when 13237 is divided by 66?
Sol: 37
Let: Calculate the remainder when 1037 is divided by 32.
Sol: 13
Let: What is the remainder when 99823 is divided by 3184?
Sol: 1119
Let: What is the remainder when 160 is divided by 42?
Sol: 34
Let: What is th... | english |
probability: swr p level set
----------------------------
Given: Four letters picked without replacement from vvvtvtvvdvqvvdvt. What is prob of picking 2 v, 1 t, and 1 q?
Solution: 27/364
Given: Two letters picked without replacement from {t: 6, p: 3, d: 6}. What is prob of picking 2 d?
Solution: 1/7
Given: Three lette... | english |
measurement: conversion
-----------------------
Inquiry: What is 33356.8 grams in nanograms?
Clarification: 33356800000000
Inquiry: What is 3/25 of a milligram in micrograms?
Clarification: 120
Inquiry: What is twenty-one fifths of a gram in milligrams?
Clarification: 4200
Inquiry: How many centimeters are there in 678... | english |
probability: swr p level set
----------------------------
Q/A: Four letters picked without replacement from {i: 6, r: 2, f: 5}. Give prob of picking 2 f, 1 r, and 1 i.
Ans: 24/143
Q/A: Four letters picked without replacement from {v: 2, g: 6}. What is prob of picking 2 g and 2 v?
Ans: 3/14
Q/A: Calculate prob of pickin... | english |
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