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probability: swr p level set ---------------------------- Q/A: What is prob of picking 2 q and 2 u when four letters picked without replacement from qvqujjuuqjuuqjj? Ans: 4/91 Q/A: Calculate prob of picking 1 q, 2 i, and 1 e when four letters picked without replacement from {i: 2, p: 1, n: 7, e: 6, q: 4}. Ans: 8/1615 Q...
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numbers: is prime ----------------- Situation: Is 88267973 a composite number? Compute: False Situation: Is 1076719 prime? Compute: False Situation: Is 7189439 composite? Compute: False Situation: Is 5903161 a composite number? Compute: True Situation: Is 2214796043 composite? Compute: True Situation: Is 6026613 compos...
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numbers: is factor ------------------ Prompt: Is 13 a factor of 1571? Calculation: False Prompt: Does 93 divide 111414? Calculation: True Prompt: Is 18 a factor of 45325? Calculation: False Prompt: Does 36 divide 281? Calculation: False Prompt: Is 3783 a multiple of 16? Calculation: False Prompt: Does 304 divide 502673...
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probability: swr p sequence --------------------------- Puzzle: What is prob of sequence ku when two letters picked without replacement from {l: 2, i: 2, n: 2, m: 3, u: 4, k: 3}? Key: 1/20 Puzzle: Calculate prob of sequence avb when three letters picked without replacement from lvgbazl. Key: 1/210 Puzzle: What is prob ...
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numbers: gcd ------------ Input: What is the greatest common divisor of 991406 and 374? Solution: 34 Input: What is the greatest common divisor of 4598406 and 9? Solution: 9 Input: What is the greatest common factor of 235 and 38405? Solution: 5 Input: Calculate the highest common factor of 16 and 58. Solution: 2 Input...
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numbers: gcd ------------ Qn: Calculate the greatest common factor of 6 and 200067. Calculation: 3 Qn: Calculate the highest common factor of 1806 and 14190. Calculation: 258 Qn: What is the highest common factor of 50809 and 3803173? Calculation: 341 Qn: Calculate the greatest common divisor of 4328081 and 136. Calcul...
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arithmetic: nearest integer root -------------------------------- Puzzle: What is 2514111 to the power of 1/5, to the nearest integer? Explanation: 19 Puzzle: What is the square root of 2958328905 to the nearest integer? Explanation: 54391 Puzzle: What is 7010386 to the power of 1/2, to the nearest integer? Explanation...
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measurement: time ----------------- Item: How many minutes are there between 8:47 PM and 6:36 AM? Answer: 589 Item: How many minutes are there between 11:38 AM and 6:23 PM? Answer: 405 Item: What is 507 minutes after 3:38 PM? Answer: 12:05 AM Item: How many minutes are there between 5:16 PM and 7:54 PM? Answer: 158 Ite...
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measurement: conversion ----------------------- Exercise: How many minutes are there in fourty-two fifths of a hour? Solution: 504 Exercise: What is 15.78976 centuries in years? Solution: 1578.976 Exercise: What is 82.8862 litres in millilitres? Solution: 82886.2 Exercise: How many litres are there in 0.117069ml? Solut...
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probability: swr p level set ---------------------------- Request: Two letters picked without replacement from hhvbvvbvvhbhmbbvb. What is prob of picking 1 b and 1 m? Ans: 3/68 Request: Two letters picked without replacement from {l: 2, z: 3, y: 4}. What is prob of picking 2 y? Ans: 1/6 Request: Calculate prob of picki...
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numbers: div remainder ---------------------- Issue: What is the remainder when 272 is divided by 259? Result: 13 Issue: What is the remainder when 16959414 is divided by 16959406? Result: 8 Issue: What is the remainder when 13543 is divided by 1229? Result: 24 Issue: Calculate the remainder when 244 is divided by 240....
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numbers: gcd ------------ Question: What is the highest common divisor of 2009526387 and 66? Outcome: 33 Question: What is the greatest common factor of 6 and 3774? Outcome: 6 Question: What is the highest common divisor of 25799580 and 116? Outcome: 4 Question: What is the greatest common factor of 19560 and 429342? O...
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numbers: place value -------------------- Prompt: What is the tens digit of 1600527? Soln: 2 Prompt: What is the hundreds digit of 3816587? Soln: 5 Prompt: What is the hundreds digit of 26587855? Soln: 8 Prompt: What is the thousands digit of 167235843? Soln: 5 Prompt: What is the units digit of 94929? Soln: 9 Prompt: ...
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numbers: gcd ------------ Subject: Calculate the highest common divisor of 65 and 822627. →: 13 Subject: Calculate the greatest common divisor of 1105 and 1063961405. →: 1105 Subject: Calculate the greatest common factor of 17117172 and 19188. →: 1476 Subject: What is the greatest common divisor of 5710 and 20? →: 10 S...
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numbers: is prime ----------------- Prompt: Is 388258879 a composite number? Response: True Prompt: Is 15971 prime? Response: True Prompt: Is 276298238 composite? Response: True Prompt: Is 41479 prime? Response: True Prompt: Is 139187544919 a prime number? Response: True Prompt: Is 522194671 prime? Response: False Prom...
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arithmetic: nearest integer root -------------------------------- Ask: What is 604901 to the power of 1/2, to the nearest integer? Result: 778 Ask: What is the tenth root of 51341 to the nearest integer? Result: 3 Ask: What is the cube root of 1007268250 to the nearest integer? Result: 1002 Ask: What is the square root...
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measurement: time ----------------- Issue: How many minutes are there between 4:10 PM and 12:26 AM? Interpretation: 496 Issue: What is 251 minutes before 8:55 PM? Interpretation: 4:44 PM Issue: What is 387 minutes before 2:50 AM? Interpretation: 8:23 PM Issue: What is 53 minutes after 11:10 AM? Interpretation: 12:03 PM...
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probability: swr p level set ---------------------------- Subject: What is prob of picking 1 m and 1 x when two letters picked without replacement from ydgdyddmyyyddddydddx? Solution: 1/190 Subject: Calculate prob of picking 1 f, 1 s, and 2 z when four letters picked without replacement from {z: 2, w: 2, f: 4, s: 1, u:...
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measurement: time ----------------- Subject: How many minutes are there between 2:15 AM and 11:53 AM? Math A: 578 Subject: What is 428 minutes before 4:55 AM? Math A: 9:47 PM Subject: What is 289 minutes after 4:30 AM? Math A: 9:19 AM Subject: What is 50 minutes before 1:29 PM? Math A: 12:39 PM Subject: What is 295 min...
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numbers: is factor ------------------ Query: Is 378860 a multiple of 19? Output: True Query: Is 4326530 a multiple of 230? Output: True Query: Is 297555 a multiple of 120? Output: False Query: Does 4 divide 145? Output: False Query: Is 9 a factor of 927? Output: True Query: Is 106 a factor of 2650? Output: True Query: ...
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numbers: is prime ----------------- Exercise: Is 12914411 a prime number? Gives: False Exercise: Is 25034 a prime number? Gives: False Exercise: Is 86946901 a prime number? Gives: False Exercise: Is 7073141 prime? Gives: False Exercise: Is 58435609 a composite number? Gives: True Exercise: Is 333064657 a prime number? ...
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arithmetic: nearest integer root -------------------------------- Task: What is the tenth root of 82944 to the nearest integer? Calculation: 3 Task: What is 54095 to the power of 1/5, to the nearest integer? Calculation: 9 Task: What is the square root of 40048668 to the nearest integer? Calculation: 6328 Task: What is...
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numbers: place value -------------------- Qn: What is the ten thousands digit of 5212572591? Soln: 7 Qn: What is the tens digit of 3153? Soln: 5 Qn: What is the millions digit of 508264379? Soln: 8 Qn: What is the thousands digit of 942950? Soln: 2 Qn: What is the thousands digit of 14417369? Soln: 7 Qn: What is the hu...
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measurement: conversion ----------------------- Example: Convert 6.078861 minutes to nanoseconds. Eval: 364731660000 Example: How many millilitres are there in 11/2 of a litre? Eval: 5500 Example: What is 8/3 of a year in months? Eval: 32 Example: How many millilitres are there in 3/10 of a litre? Eval: 300 Example: Co...
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numbers: gcd ------------ Conundrum: What is the highest common factor of 2403204 and 9024? Result: 564 Conundrum: Calculate the highest common divisor of 80 and 520. Result: 40 Conundrum: What is the greatest common factor of 561 and 153? Result: 51 Conundrum: Calculate the greatest common factor of 336 and 10247503. ...
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numbers: is prime ----------------- Problem: Is 13804057 a composite number? Therefore: False Problem: Is 3183719831 a composite number? Therefore: True Problem: Is 40520452627 prime? Therefore: True Problem: Is 11914264027 a composite number? Therefore: False Problem: Is 85010059 composite? Therefore: True Problem: Is...
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numbers: div remainder ---------------------- Q-: What is the remainder when 60 is divided by 39? Interpretation: 21 Q-: What is the remainder when 3350 is divided by 168? Interpretation: 158 Q-: Calculate the remainder when 2188616 is divided by 1157. Interpretation: 729 Q-: What is the remainder when 109616 is divide...
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numbers: place value -------------------- Part A: What is the millions digit of 4478389? Reply: 4 Part A: What is the hundred thousands digit of 3782168396? Reply: 1 Part A: What is the tens digit of 128? Reply: 2 Part A: What is the millions digit of 67649870? Reply: 7 Part A: What is the hundred thousands digit of 24...
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probability: swr p sequence --------------------------- Challenge: Four letters picked without replacement from sssssswswwswsswsss. What is prob of sequence swss? Sol: 143/1224 Challenge: Four letters picked without replacement from {c: 2, b: 2, y: 1, m: 6, u: 1, t: 3}. Give prob of sequence ctbb. Sol: 1/2730 Challenge...
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numbers: div remainder ---------------------- Puzzle: Calculate the remainder when 2775734 is divided by 20. Hence: 14 Puzzle: Calculate the remainder when 2361546 is divided by 644. Hence: 642 Puzzle: Calculate the remainder when 351892 is divided by 2787. Hence: 730 Puzzle: What is the remainder when 10303 is divided...
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measurement: time ----------------- Query: What is 445 minutes after 5:15 AM? Fix: 12:40 PM Query: How many minutes are there between 10:52 PM and 4:58 AM? Fix: 366 Query: How many minutes are there between 10:56 AM and 6:48 PM? Fix: 472 Query: What is 473 minutes before 4:03 AM? Fix: 8:10 PM Query: How many minutes ar...
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numbers: is prime ----------------- Task: Is 22425578891 prime? Compute: True Task: Is 56124902683 prime? Compute: False Task: Is 63578629 prime? Compute: True Task: Is 23249 composite? Compute: True Task: Is 8045965 prime? Compute: False Task: Is 866069 a composite number? Compute: True Task: Is 1709699 a prime number...
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probability: swr p level set ---------------------------- Math Problem: Calculate prob of picking 1 y and 3 k when four letters picked without replacement from yqyddkqykkyk. Calculation: 16/495 Math Problem: Calculate prob of picking 1 a, 1 j, and 1 u when three letters picked without replacement from ajrju. Calculatio...
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numbers: gcd ------------ Example: What is the highest common divisor of 319 and 103211? Interpretation: 29 Example: Calculate the highest common factor of 18 and 9696. Interpretation: 6 Example: What is the highest common divisor of 40 and 9208? Interpretation: 8 Example: What is the greatest common divisor of 37634 a...
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arithmetic: nearest integer root -------------------------------- Challenge: What is 1817391070 to the power of 1/2, to the nearest integer? Response: 42631 Challenge: What is the cube root of 13101 to the nearest integer? Response: 24 Challenge: What is 240849769 to the power of 1/2, to the nearest integer? Response: ...
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probability: swr p sequence --------------------------- Case: Calculate prob of sequence mb when two letters picked without replacement from {x: 2, h: 1, m: 2, e: 1, b: 2}. Solution: 1/14 Case: Four letters picked without replacement from wkyzr. Give prob of sequence wrzk. Solution: 1/120 Case: Calculate prob of sequen...
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probability: swr p level set ---------------------------- Problem Statement: Three letters picked without replacement from {v: 6, x: 9, l: 2, n: 1}. Give prob of picking 1 x and 2 l. Answer: 3/272 Problem Statement: Two letters picked without replacement from {m: 17, n: 3}. Give prob of picking 2 n. Answer: 3/190 Probl...
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probability: swr p level set ---------------------------- Subject: Two letters picked without replacement from {g: 1, y: 1, i: 1, r: 1, o: 1}. Give prob of picking 1 i and 1 g. Yields: 1/10 Subject: Two letters picked without replacement from {l: 1, x: 1, t: 6, m: 6, d: 3, f: 3}. Give prob of picking 1 x and 1 d. Yield...
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arithmetic: nearest integer root -------------------------------- Q-: What is the cube root of 914939 to the nearest integer? Soln: 97 Q-: What is the cube root of 6599538702 to the nearest integer? Soln: 1876 Q-: What is the third root of 1138 to the nearest integer? Soln: 10 Q-: What is the sixth root of 24237090 to ...
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numbers: place value -------------------- Prompt: What is the tens digit of 40340? Steps: 4 Prompt: What is the units digit of 61230562? Steps: 2 Prompt: What is the hundreds digit of 2069? Steps: 0 Prompt: What is the hundreds digit of 25875570? Steps: 5 Prompt: What is the units digit of 60011? Steps: 1 Prompt: What ...
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numbers: is prime ----------------- Task: Is 280142293 a prime number? Gives: True Task: Is 336961 composite? Gives: False Task: Is 37519849 a prime number? Gives: False Task: Is 15462079 a composite number? Gives: True Task: Is 3799 a composite number? Gives: True Task: Is 8822797 a prime number? Gives: True Task: Is ...
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numbers: gcd ------------ Given: Calculate the greatest common divisor of 188002 and 230. Math A: 46 Given: Calculate the greatest common divisor of 108 and 621. Math A: 27 Given: What is the greatest common divisor of 180 and 596610? Math A: 90 Given: What is the highest common divisor of 111366 and 41466888? Math A: ...
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probability: swr p sequence --------------------------- Ask: What is prob of sequence oggk when four letters picked without replacement from kgkkgggvgkkfvfkog? Hence: 3/952 Ask: Calculate prob of sequence qpkp when four letters picked without replacement from mqqqyqpqpmqqqqkpy. Hence: 9/9520 Ask: Three letters picked w...
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numbers: div remainder ---------------------- Query: Calculate the remainder when 54 is divided by 51. Finding: 3 Query: Calculate the remainder when 3149 is divided by 1289. Finding: 571 Query: Calculate the remainder when 583 is divided by 107. Finding: 48 Query: Calculate the remainder when 337905 is divided by 1275...
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measurement: time ----------------- Question: How many minutes are there between 12:35 PM and 12:00 AM? Gives: 685 Question: What is 420 minutes before 5:10 PM? Gives: 10:10 AM Question: How many minutes are there between 11:35 AM and 6:33 PM? Gives: 418 Question: How many minutes are there between 2:30 PM and 8:02 PM?...
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numbers: lcm ------------ Problem Statement: Find the common denominator of -89/264 and 97/103632. A.: 1139952 Problem Statement: What is the common denominator of 61/32 and 85/2? A.: 32 Problem Statement: What is the smallest common multiple of 77 and 331716? A.: 331716 Problem Statement: Calculate the smallest common...
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numbers: div remainder ---------------------- Exercise: What is the remainder when 381 is divided by 16? = : 13 Exercise: What is the remainder when 223141 is divided by 222994? = : 147 Exercise: What is the remainder when 2643 is divided by 623? = : 151 Exercise: Calculate the remainder when 2489 is divided by 1171. =...
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numbers: is factor ------------------ Issue: Is 28710 a multiple of 198? Interpretation: True Issue: Is 4020 a factor of 9816840? Interpretation: True Issue: Does 7197 divide 484422873? Interpretation: True Issue: Is 142 a factor of 1206925876? Interpretation: True Issue: Is 4935 a multiple of 5? Interpretation: True I...
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numbers: is prime ----------------- Scenario: Is 386457 a composite number? Eval: True Scenario: Is 101599249 prime? Eval: True Scenario: Is 40798258 prime? Eval: False Scenario: Is 23105 a prime number? Eval: False Scenario: Is 3107 a composite number? Eval: True Scenario: Is 10109986891 prime? Eval: True Scenario: Is...
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probability: swr p level set ---------------------------- Case: Three letters picked without replacement from {q: 1, u: 7, h: 5, m: 3}. Give prob of picking 1 u and 2 m. Workthrough: 3/80 Case: What is prob of picking 3 x when three letters picked without replacement from xnbbixx? Workthrough: 1/35 Case: What is prob o...
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measurement: time ----------------- Math Problem: How many minutes are there between 3:02 PM and 2:48 AM? Response: 706 Math Problem: What is 664 minutes before 8:59 AM? Response: 9:55 PM Math Problem: What is 675 minutes before 7:18 PM? Response: 8:03 AM Math Problem: How many minutes are there between 6:03 AM and 3:3...
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probability: swr p sequence --------------------------- Q/A: What is prob of sequence iive when four letters picked without replacement from eeeieeeivivieieeiee? Derivation: 55/7752 Q/A: Three letters picked without replacement from {m: 2, e: 10}. Give prob of sequence eee. Derivation: 6/11 Q/A: Two letters picked with...
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numbers: is factor ------------------ Math Q: Does 95 divide 60800? Workthrough: True Math Q: Does 36 divide 675? Workthrough: False Math Q: Is 6 a factor of 86706? Workthrough: True Math Q: Is 161 a multiple of 7? Workthrough: True Math Q: Is 715 a multiple of 54? Workthrough: False Math Q: Is 52 a factor of 22038353?...
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numbers: div remainder ---------------------- Test item: What is the remainder when 9181 is divided by 1744? Derivation: 461 Test item: What is the remainder when 21503 is divided by 319? Derivation: 130 Test item: Calculate the remainder when 4740 is divided by 42. Derivation: 36 Test item: Calculate the remainder whe...
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probability: swr p level set ---------------------------- Exercise: Two letters picked without replacement from bkkkkfkbbkkbkbb. Give prob of picking 1 f and 1 b. Sol: 2/35 Exercise: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, c: 5, n: 1, y: 1}. Sol: 1/15 Exercise: Four letters...
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numbers: is prime ----------------- Prompt: Is 108108737 a prime number? Result: False Prompt: Is 17631395 a composite number? Result: True Prompt: Is 229727 a composite number? Result: False Prompt: Is 1074785359 a composite number? Result: True Prompt: Is 1247167 a prime number? Result: True Prompt: Is 91493 a prime ...
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probability: swr p sequence --------------------------- Challenge: Calculate prob of sequence pnf when three letters picked without replacement from {n: 5, p: 2, f: 6}. Finding: 5/143 Challenge: Calculate prob of sequence xtt when three letters picked without replacement from qtqtxx. Finding: 1/30 Challenge: Three lett...
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measurement: time ----------------- Exercise: What is 404 minutes after 1:14 AM? Solution: 7:58 AM Exercise: What is 703 minutes after 10:25 PM? Solution: 10:08 AM Exercise: How many minutes are there between 12:03 PM and 9:33 PM? Solution: 570 Exercise: How many minutes are there between 7:19 PM and 1:14 AM? Solution:...
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numbers: is prime ----------------- Exercise: Is 1027643 a prime number? Reply: True Exercise: Is 31085111 a composite number? Reply: False Exercise: Is 615796603 a composite number? Reply: False Exercise: Is 664418897 composite? Reply: False Exercise: Is 28029097 composite? Reply: False Exercise: Is 89057603 prime? Re...
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probability: swr p sequence --------------------------- Step: Calculate prob of sequence xoq when three letters picked without replacement from xxxoxqoxoo. Calculation: 1/36 Step: Four letters picked without replacement from {h: 5, b: 6, q: 4, l: 5}. What is prob of sequence lhbl? Calculation: 5/969 Step: Two letters p...
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numbers: place value -------------------- Conundrum: What is the hundreds digit of 659? Solution: 6 Conundrum: What is the ten thousands digit of 1210543? Solution: 1 Conundrum: What is the units digit of 216? Solution: 6 Conundrum: What is the units digit of 47272? Solution: 2 Conundrum: What is the thousands digit of...
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arithmetic: nearest integer root -------------------------------- Statement: What is the sixth root of 1015508 to the nearest integer? Conclusion: 10 Statement: What is 1613631 to the power of 1/2, to the nearest integer? Conclusion: 1270 Statement: What is 1998 to the power of 1/6, to the nearest integer? Conclusion: ...
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numbers: is prime ----------------- Item: Is 96888013 a composite number? Resolution: False Item: Is 407 prime? Resolution: False Item: Is 18637109 a prime number? Resolution: True Item: Is 6249193 a composite number? Resolution: False Item: Is 1852049 a prime number? Resolution: True Item: Is 3775511251 a composite nu...
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probability: swr p level set ---------------------------- Qn: Three letters picked without replacement from {j: 1, r: 2, h: 2}. What is prob of picking 1 j, 1 r, and 1 h? Math A: 2/5 Qn: What is prob of picking 2 d when two letters picked without replacement from {d: 5}? Math A: 1 Qn: Two letters picked without replace...
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numbers: gcd ------------ Q: What is the highest common factor of 5559 and 1199? Eval: 109 Q: Calculate the highest common factor of 14 and 400386. Eval: 14 Q: What is the greatest common factor of 2718 and 37975594? Eval: 302 Q: Calculate the greatest common factor of 326985330 and 430. Eval: 430 Q: What is the highes...
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numbers: is factor ------------------ Test item: Is 79703 a multiple of 466? Soln: False Test item: Is 4 a factor of 1664? Soln: True Test item: Does 6 divide 86? Soln: False Test item: Is 12 a factor of 23042803? Soln: False Test item: Does 1329 divide 153770616? Soln: True Test item: Does 33 divide 5369576553? Soln: ...
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numbers: div remainder ---------------------- Q/A: Calculate the remainder when 1151 is divided by 11. Eval: 7 Q/A: Calculate the remainder when 92 is divided by 19. Eval: 16 Q/A: Calculate the remainder when 46941 is divided by 49. Eval: 48 Q/A: Calculate the remainder when 102201 is divided by 137. Eval: 136 Q/A: Wha...
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measurement: time ----------------- Task: How many minutes are there between 3:03 AM and 3:53 AM? Answer: 50 Task: How many minutes are there between 8:57 AM and 2:34 PM? Answer: 337 Task: What is 249 minutes before 5:14 AM? Answer: 1:05 AM Task: How many minutes are there between 3:40 PM and 6:19 PM? Answer: 159 Task:...
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measurement: time ----------------- Math Q: How many minutes are there between 6:53 AM and 4:50 PM? Math A: 597 Math Q: What is 488 minutes after 1:47 PM? Math A: 9:55 PM Math Q: How many minutes are there between 8:30 PM and 1:04 AM? Math A: 274 Math Q: What is 274 minutes before 10:47 AM? Math A: 6:13 AM Math Q: How ...
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probability: swr p level set ---------------------------- Prompt: Two letters picked without replacement from {t: 1, v: 1, k: 1}. What is prob of picking 1 t and 1 v? Derivation: 1/3 Prompt: Three letters picked without replacement from {n: 9, q: 10}. What is prob of picking 1 q and 2 n? Derivation: 120/323 Prompt: Wha...
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numbers: div remainder ---------------------- Question: What is the remainder when 8977 is divided by 143? Final Answer: 111 Question: What is the remainder when 102102808 is divided by 15? Final Answer: 13 Question: Calculate the remainder when 1346890 is divided by 20. Final Answer: 10 Question: Calculate the remaind...
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numbers: gcd ------------ Let: What is the greatest common factor of 12453 and 21? Ans: 21 Let: Calculate the highest common divisor of 108156 and 66816. Ans: 12 Let: What is the greatest common factor of 2445 and 405? Ans: 15 Let: What is the highest common factor of 1189985 and 145? Ans: 5 Let: Calculate the highest ...
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measurement: time ----------------- Step: How many minutes are there between 4:09 PM and 10:09 PM? Answer: 360 Step: What is 493 minutes after 12:50 PM? Answer: 9:03 PM Step: What is 54 minutes after 9:05 PM? Answer: 9:59 PM Step: What is 587 minutes after 1:44 PM? Answer: 11:31 PM Step: What is 25 minutes before 5:42 ...
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measurement: time ----------------- Q/A: What is 699 minutes after 9:47 AM? Derivation: 9:26 PM Q/A: How many minutes are there between 12:50 AM and 1:10 AM? Derivation: 20 Q/A: What is 474 minutes after 5:51 PM? Derivation: 1:45 AM Q/A: What is 172 minutes after 6:36 AM? Derivation: 9:28 AM Q/A: What is 472 minutes be...
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numbers: is prime ----------------- Scenario: Is 74313289 a composite number? Answer: False Scenario: Is 633079 composite? Answer: False Scenario: Is 2756207 composite? Answer: False Scenario: Is 45398870653 composite? Answer: False Scenario: Is 27637 a composite number? Answer: True Scenario: Is 433229 prime? Answer: ...
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measurement: time ----------------- Conundrum: What is 524 minutes after 1:01 PM? Gives: 9:45 PM Conundrum: How many minutes are there between 2:19 PM and 1:19 AM? Gives: 660 Conundrum: How many minutes are there between 4:24 AM and 8:07 AM? Gives: 223 Conundrum: What is 589 minutes before 11:36 AM? Gives: 1:47 AM Conu...
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numbers: div remainder ---------------------- Subquestion: What is the remainder when 159 is divided by 23? A.: 21 Subquestion: What is the remainder when 586754 is divided by 195546? A.: 116 Subquestion: Calculate the remainder when 176 is divided by 12. A.: 8 Subquestion: What is the remainder when 10203 is divided b...
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measurement: time ----------------- Given: How many minutes are there between 12:20 PM and 5:22 PM? Response: 302 Given: How many minutes are there between 4:10 PM and 6:32 PM? Response: 142 Given: What is 279 minutes after 6:50 PM? Response: 11:29 PM Given: What is 578 minutes after 12:32 PM? Response: 10:10 PM Given:...
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probability: swr p level set ---------------------------- Case: What is prob of picking 1 b and 1 v when two letters picked without replacement from bkqrkbqkvkkkvq? Eval: 4/91 Case: Four letters picked without replacement from kvkkvvvkkkk. What is prob of picking 2 k and 2 v? Eval: 21/55 Case: Four letters picked witho...
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measurement: conversion ----------------------- Conundrum: Convert 69761.12 decades to months. Sol: 8371334.4 Conundrum: Convert 54077.3 litres to millilitres. Sol: 54077300 Conundrum: How many years are there in 3/5 of a century? Sol: 60 Conundrum: How many millilitres are there in 9.057976l? Sol: 9057.976 Conundrum: ...
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probability: swr p level set ---------------------------- Step: What is prob of picking 1 w and 1 z when two letters picked without replacement from {y: 1, m: 1, x: 3, z: 2, w: 3, c: 1}? = : 6/55 Step: Two letters picked without replacement from qqqq. What is prob of picking 2 q? = : 1 Step: What is prob of picking 1 d...
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numbers: is prime ----------------- Conundrum: Is 3277 composite? Compute: True Conundrum: Is 27883 a prime number? Compute: True Conundrum: Is 7181687 prime? Compute: True Conundrum: Is 44489105 prime? Compute: False Conundrum: Is 3315751 a composite number? Compute: True Conundrum: Is 27806111 a composite number? Com...
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arithmetic: nearest integer root -------------------------------- Math Problem: What is 7604856886 to the power of 1/5, to the nearest integer? Result: 95 Math Problem: What is the third root of 678405966 to the nearest integer? Result: 879 Math Problem: What is the cube root of 2137868 to the nearest integer? Result: ...
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arithmetic: nearest integer root -------------------------------- Example: What is the third root of 38776 to the nearest integer? Fix: 34 Example: What is the square root of 4498494273 to the nearest integer? Fix: 67071 Example: What is the seventh root of 36104388 to the nearest integer? Fix: 12 Example: What is 2188...
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numbers: is prime ----------------- Case: Is 39473 composite? Finding: True Case: Is 20921 a prime number? Finding: True Case: Is 69763789 prime? Finding: True Case: Is 2297914 a prime number? Finding: False Case: Is 249607 prime? Finding: True Case: Is 1169867117 a prime number? Finding: False Case: Is 186377 composit...
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numbers: div remainder ---------------------- Q.: Calculate the remainder when 32220884 is divided by 135953. Thus: 23 Q.: Calculate the remainder when 1936 is divided by 178. Thus: 156 Q.: What is the remainder when 3298101 is divided by 47? Thus: 17 Q.: Calculate the remainder when 17291121 is divided by 739. Thus: 7...
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numbers: div remainder ---------------------- Ask: What is the remainder when 17762 is divided by 949? Eval: 680 Ask: What is the remainder when 8147 is divided by 14? Eval: 13 Ask: Calculate the remainder when 108642 is divided by 1784. Eval: 1602 Ask: Calculate the remainder when 967 is divided by 323. Eval: 321 Ask:...
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measurement: conversion ----------------------- Q-: Convert 0.6482222 centuries to decades. Final Answer: 6.482222 Q-: How many nanograms are there in 1.411227 milligrams? Final Answer: 1411227 Q-: Convert 0.4851199 centuries to months. Final Answer: 582.14388 Q-: What is six fifths of a century in decades? Final Answe...
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measurement: time ----------------- Qn: How many minutes are there between 3:08 PM and 3:18 PM? Soln: 10 Qn: What is 296 minutes after 8:05 PM? Soln: 1:01 AM Qn: How many minutes are there between 4:25 AM and 5:47 AM? Soln: 82 Qn: What is 457 minutes after 10:47 AM? Soln: 6:24 PM Qn: How many minutes are there between ...
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numbers: place value -------------------- Situation: What is the ten thousands digit of 28336086? = : 3 Situation: What is the thousands digit of 256957? = : 6 Situation: What is the thousands digit of 3717? = : 3 Situation: What is the units digit of 99134? = : 4 Situation: What is the hundreds digit of 3432595? = : 5...
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arithmetic: nearest integer root -------------------------------- Item: What is 11804 to the power of 1/2, to the nearest integer? Gives: 109 Item: What is 9935565 to the power of 1/8, to the nearest integer? Gives: 7 Item: What is 1117830 to the power of 1/7, to the nearest integer? Gives: 7 Item: What is the square r...
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numbers: gcd ------------ Q-: Calculate the greatest common factor of 15 and 45. Finding: 15 Q-: What is the highest common divisor of 12180132 and 84? Finding: 12 Q-: What is the greatest common divisor of 1320 and 23980? Finding: 220 Q-: Calculate the greatest common factor of 140 and 168. Finding: 28 Q-: Calculate t...
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probability: swr p sequence --------------------------- Task: Calculate prob of sequence crzv when four letters picked without replacement from kprczvz. Hence: 1/420 Task: Calculate prob of sequence xz when two letters picked without replacement from {z: 4, x: 16}. Hence: 16/95 Task: Calculate prob of sequence od when ...
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measurement: conversion ----------------------- Qn: How many milligrams are there in 6/5 of a gram? Output: 1200 Qn: How many hours are there in 7/3 of a day? Output: 56 Qn: How many millilitres are there in 81/2 of a litre? Output: 40500 Qn: How many decades are there in 17/2 of a century? Output: 85 Qn: Convert 25733...
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measurement: time ----------------- Subject: What is 481 minutes after 4:00 PM? Ans: 12:01 AM Subject: What is 337 minutes after 12:03 AM? Ans: 5:40 AM Subject: What is 353 minutes before 6:28 PM? Ans: 12:35 PM Subject: What is 59 minutes before 2:03 AM? Ans: 1:04 AM Subject: What is 490 minutes before 5:32 AM? Ans: 9:...
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numbers: gcd ------------ Item: Calculate the greatest common factor of 89635 and 1027355. Outcome: 6895 Item: What is the highest common divisor of 4 and 2828? Outcome: 4 Item: What is the highest common factor of 19 and 27113? Outcome: 19 Item: What is the greatest common divisor of 104 and 884? Outcome: 52 Item: Cal...
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arithmetic: nearest integer root -------------------------------- Problem: What is 561 to the power of 1/2, to the nearest integer? Eval: 24 Problem: What is the eighth root of 17254637 to the nearest integer? Eval: 8 Problem: What is the third root of 8728895 to the nearest integer? Eval: 206 Problem: What is the thir...
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numbers: place value -------------------- Let us solve: What is the hundreds digit of 65402? Ans: 4 Let us solve: What is the thousands digit of 10662? Ans: 0 Let us solve: What is the thousands digit of 853823? Ans: 3 Let us solve: What is the units digit of 12110? Ans: 0 Let us solve: What is the thousands digit of 1...
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probability: swr p sequence --------------------------- What if: Three letters picked without replacement from {m: 2, d: 4}. Give prob of sequence mdd. Workthrough: 1/5 What if: Calculate prob of sequence mdw when three letters picked without replacement from eeeweweemxemwmedem. Workthrough: 1/408 What if: Calculate pr...
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numbers: div remainder ---------------------- Problem #: Calculate the remainder when 141 is divided by 7. Conclusion: 1 Problem #: Calculate the remainder when 9171789 is divided by 20. Conclusion: 9 Problem #: What is the remainder when 5344091 is divided by 1219? Conclusion: 1214 Problem #: What is the remainder whe...
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