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measurement: conversion ----------------------- Challenge: How many milligrams are there in 7/2 of a gram? Reply: 3500 Challenge: How many years are there in 7896.929 millennia? Reply: 7896929 Challenge: How many micrograms are there in 3/40 of a milligram? Reply: 75 Challenge: How many months are there in twenty-nine thirds of a year? Reply: 116 Challenge: Convert 1510.55 milliseconds to seconds. Reply: 1.51055 Challenge: What is five quarters of a day in hours? Reply: 30 Challenge: How many months are there in seventeen sixths of a millennium? Reply: 34000 Challenge: How many years are there in 4.07585 decades? Reply: 40.7585 Challenge: What is 50.44005l in millilitres? Reply: 50440.05 Challenge: How many milliseconds are there in 18/5 of a second? Reply: 3600 Challenge: What is 1/6 of a day in minutes? Reply: 240 Challenge: What is 27/4 of a meter in millimeters? Reply: 6750 Challenge: How many months are there in 4/15 of a century? Reply: 320 Challenge: What is 3/40 of a kilogram in milligrams? Reply: 75000 Challenge: How many micrograms are there in twenty-six fifths of a milligram? Reply: 5200 Challenge: What is 145792.4643us in weeks? Reply: 0.00000024105896875 Challenge: How many kilometers are there in 14.89175cm? Reply: 0.0001489175 Challenge: What is 791.7603 months in decades? Reply: 6.5980025 Challenge: What is fifty-seven fifths of a gram in milligrams? Reply: 11400 Challenge: How many kilograms are there in 6.246304 milligrams? Reply: 0.000006246304 Challenge: What is nineteen quarters of a microgram in nanograms? Reply: 4750 Challenge: What is three tenths of a litre in millilitres? Reply: 300 Challenge: How many nanometers are there in 0.7871023 meters? Reply: 787102300 Challenge: How many centimeters are there in 66379.22 micrometers? Reply: 6.637922 Challenge: How many millilitres are there in 0.4562643l? Reply: 456.2643 Challenge: What is 1/24 of a hour in seconds? Reply: 150 Challenge: How many years are there in three fifths of a decade? Reply:
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probability: swr p sequence --------------------------- Input: Calculate prob of sequence ttce when four letters picked without replacement from {f: 3, e: 2, t: 8, g: 1, n: 2, c: 1}. A: 1/510 Input: Calculate prob of sequence pttp when four letters picked without replacement from ttptttttptttt. A: 1/78 Input: Two letters picked without replacement from epcercppes. What is prob of sequence rp? A: 1/30 Input: What is prob of sequence tk when two letters picked without replacement from {k: 4, t: 2, q: 1, z: 2, c: 1}? A: 4/45 Input: Calculate prob of sequence xx when two letters picked without replacement from griinax. A: 0 Input: Four letters picked without replacement from {g: 8, l: 5}. Give prob of sequence gllg. A: 28/429 Input: What is prob of sequence hpkh when four letters picked without replacement from {h: 2, s: 2, k: 4, p: 2}? A: 1/315 Input: What is prob of sequence qcqq when four letters picked without replacement from qkqccqmnqkcccqk? A: 5/546 Input: Calculate prob of sequence iiim when four letters picked without replacement from immimi. A: 1/20 Input: Three letters picked without replacement from wppqqppqqppqw. What is prob of sequence qwp? A: 5/143 Input: Calculate prob of sequence ll when two letters picked without replacement from gllooogool. A: 1/15 Input: Four letters picked without replacement from fffsrsssrssrsssyrsry. What is prob of sequence fyfs? A: 1/969 Input: Two letters picked without replacement from ossvssvosssvsvcs. What is prob of sequence ss? A: 3/10 Input: Three letters picked without replacement from {b: 2, h: 1}. What is prob of sequence hbb? A: 1/3 Input: What is prob of sequence xx when two letters picked without replacement from bwqbxbwbbbbxbr? A: 1/91 Input: Calculate prob of sequence puu when three letters picked without replacement from {l: 1, p: 1, u: 2, z: 1}. A: 1/30 Input: What is prob of sequence pvpv when four letters picked without replacement from {p: 13, v: 5}? A: 13/306 Input: Two letters picked without replacement fr
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numbers: gcd ------------ Example: What is the greatest common factor of 180 and 130? →: 10 Example: Calculate the greatest common factor of 2849 and 55. →: 11 Example: Calculate the greatest common divisor of 27864 and 999. →: 27 Example: What is the highest common divisor of 1886 and 322? →: 46 Example: What is the greatest common factor of 254 and 5461? →: 127 Example: What is the greatest common factor of 1776 and 20319216? →: 1776 Example: What is the highest common divisor of 654 and 10127626? →: 218 Example: Calculate the highest common factor of 123 and 4101. →: 3 Example: What is the greatest common factor of 65021 and 5819? →: 253 Example: Calculate the highest common divisor of 322 and 55867. →: 161 Example: Calculate the highest common divisor of 22 and 292006. →: 22 Example: Calculate the greatest common factor of 1642 and 36722509. →: 821 Example: Calculate the greatest common divisor of 27138988 and 46. →: 46 Example: Calculate the greatest common divisor of 2 and 23. →: 1 Example: What is the highest common factor of 1242 and 1998378? →: 1242 Example: What is the highest common divisor of 16 and 14510000? →: 16 Example: What is the highest common divisor of 2940 and 1108674? →: 294 Example: Calculate the highest common factor of 418 and 88. →: 22 Example: What is the greatest common divisor of 2349 and 284268150? →: 783 Example: Calculate the highest common divisor of 1070623 and 446. →: 223 Example: What is the greatest common factor of 2666958 and 1302? →: 42 Example: Calculate the greatest common factor of 72 and 9522. →: 18 Example: What is the highest common factor of 37935 and 1755? →: 135 Example: Calculate the greatest common factor of 61504 and 620. →: 124 Example: What is the greatest common divisor of 132 and 78? →: 6 Example: What is the highest common factor of 486 and 89? →: 1 Example: Calculate the highest common factor of 183187500 and 45. →: 15 Example: What is the greatest common divisor of 76878 and 96? →: 6 Example: What is the gr
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numbers: is prime ----------------- Puzzle: Is 1009289 prime? Outcome: True Puzzle: Is 2023330129 a composite number? Outcome: True Puzzle: Is 6842417 a prime number? Outcome: True Puzzle: Is 39915561799 a composite number? Outcome: True Puzzle: Is 3954832823 composite? Outcome: False Puzzle: Is 1271783663 composite? Outcome: True Puzzle: Is 6185513 a prime number? Outcome: False Puzzle: Is 211101520081 composite? Outcome: False Puzzle: Is 1495881133 a prime number? Outcome: False Puzzle: Is 284227397 a composite number? Outcome: True Puzzle: Is 11914169 a prime number? Outcome: True Puzzle: Is 543278269 prime? Outcome: False Puzzle: Is 26834213563 prime? Outcome: True Puzzle: Is 75430011427 a prime number? Outcome: False Puzzle: Is 6289 a prime number? Outcome: False Puzzle: Is 33111877 a prime number? Outcome: True Puzzle: Is 3584631 composite? Outcome: True Puzzle: Is 15761692021 prime? Outcome: True Puzzle: Is 48311 a prime number? Outcome: True Puzzle: Is 28213 a prime number? Outcome: False Puzzle: Is 135367 composite? Outcome: False Puzzle: Is 43896782 composite? Outcome: True Puzzle: Is 92813 composite? Outcome: True Puzzle: Is 1136951 prime? Outcome: True Puzzle: Is 345588517 a composite number? Outcome: False Puzzle: Is 419081 a prime number? Outcome: False Puzzle: Is 7453049 a prime number? Outcome: True Puzzle: Is 679506089 prime? Outcome: False Puzzle: Is 57269 composite? Outcome: False Puzzle: Is 91229 composite? Outcome: False Puzzle: Is 156419 composite? Outcome: False Puzzle: Is 57867975467 a prime number? Outcome: False Puzzle: Is 36063540371 a prime number? Outcome: True Puzzle: Is 163617133861 prime? Outcome: False Puzzle: Is 81331 composite? Outcome: False Puzzle: Is 1423897 prime? Outcome: True Puzzle: Is 75011902457 a composite number? Outcome: True Puzzle: Is 70049 a prime number? Outcome: False Puzzle: Is 19716853907 a composite number? Outcome: True Puzzle: Is 124141 a prime number? Outcome: False Puzzle: Is 747493 a composite number? Outco
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numbers: place value -------------------- Math Q: What is the tens digit of 304279957? Answer: 5 Math Q: What is the thousands digit of 4120876657? Answer: 6 Math Q: What is the hundred thousands digit of 241472479? Answer: 4 Math Q: What is the ten thousands digit of 43974? Answer: 4 Math Q: What is the thousands digit of 3207? Answer: 3 Math Q: What is the thousands digit of 1700? Answer: 1 Math Q: What is the hundreds digit of 5516? Answer: 5 Math Q: What is the hundreds digit of 10402? Answer: 4 Math Q: What is the millions digit of 2093213? Answer: 2 Math Q: What is the thousands digit of 2309? Answer: 2 Math Q: What is the thousands digit of 19973? Answer: 9 Math Q: What is the tens digit of 13156? Answer: 5 Math Q: What is the units digit of 1538? Answer: 8 Math Q: What is the units digit of 102474? Answer: 4 Math Q: What is the units digit of 115536? Answer: 6 Math Q: What is the hundreds digit of 57900? Answer: 9 Math Q: What is the hundreds digit of 3908? Answer: 9 Math Q: What is the units digit of 178? Answer: 8 Math Q: What is the units digit of 52135? Answer: 5 Math Q: What is the tens digit of 219999? Answer: 9 Math Q: What is the ten thousands digit of 640379? Answer: 4 Math Q: What is the millions digit of 2596410? Answer: 2 Math Q: What is the hundreds digit of 145274484? Answer: 4 Math Q: What is the tens digit of 549732? Answer: 3 Math Q: What is the hundreds digit of 1033834573? Answer: 5 Math Q: What is the thousands digit of 24484? Answer: 4 Math Q: What is the hundred thousands digit of 11036000? Answer: 0 Math Q: What is the millions digit of 1983718760? Answer: 3 Math Q: What is the tens digit of 625685? Answer: 8 Math Q: What is the hundred millions digit of 147401252? Answer: 1 Math Q: What is the ten thousands digit of 66557661? Answer: 5 Math Q: What is the tens digit of 1811? Answer: 1 Math Q: What is the thousands digit of 1208840? Answer: 8 Math Q: What is the thousands digit of 7118? Answer: 7 Math Q: What is the hundreds digit of 2
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arithmetic: nearest integer root -------------------------------- Case: What is the third root of 68868 to the nearest integer? Hence: 41 Case: What is 583116997 to the power of 1/7, to the nearest integer? Hence: 18 Case: What is 112760 to the power of 1/2, to the nearest integer? Hence: 336 Case: What is 68731 to the power of 1/4, to the nearest integer? Hence: 16 Case: What is the square root of 412213 to the nearest integer? Hence: 642 Case: What is the fourth root of 114411 to the nearest integer? Hence: 18 Case: What is the third root of 76479 to the nearest integer? Hence: 42 Case: What is 282 to the power of 1/7, to the nearest integer? Hence: 2 Case: What is the square root of 711288 to the nearest integer? Hence: 843 Case: What is the ninth root of 5877 to the nearest integer? Hence: 3 Case: What is 173133 to the power of 1/3, to the nearest integer? Hence: 56 Case: What is the tenth root of 41864105 to the nearest integer? Hence: 6 Case: What is 5614 to the power of 1/10, to the nearest integer? Hence: 2 Case: What is the third root of 7397485 to the nearest integer? Hence: 195 Case: What is 10802 to the power of 1/2, to the nearest integer? Hence: 104 Case: What is the square root of 397 to the nearest integer? Hence: 20 Case: What is the third root of 72295858 to the nearest integer? Hence: 417 Case: What is 331391837 to the power of 1/3, to the nearest integer? Hence: 692 Case: What is the square root of 11264 to the nearest integer? Hence: 106 Case: What is the cube root of 2908945 to the nearest integer? Hence: 143 Case: What is 1506 to the power of 1/3, to the nearest integer? Hence: 11 Case: What is 2897 to the power of 1/6, to the nearest integer? Hence: 4 Case: What is the square root of 67867 to the nearest integer? Hence: 261 Case: What is 1478655 to the power of 1/2, to the nearest integer? Hence: 1216 Case: What is the square root of 5021 to the nearest integer? Hence: 71 Case: What is 5532879 to the power of 1/2, to the nearest integer? Henc
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numbers: is factor ------------------ Item: Does 212 divide 19179004? Therefore: True Item: Does 440 divide 3040371? Therefore: False Item: Does 46 divide 7259306? Therefore: True Item: Is 379830 a multiple of 22? Therefore: True Item: Is 262390 a multiple of 128? Therefore: False Item: Is 16588550 a multiple of 166? Therefore: False Item: Is 12447667 a multiple of 14? Therefore: False Item: Does 8 divide 3208888? Therefore: True Item: Is 70354 a multiple of 16? Therefore: False Item: Is 3974800 a multiple of 5? Therefore: True Item: Does 64 divide 77348? Therefore: False Item: Does 17 divide 714? Therefore: True Item: Is 45 a factor of 1065323? Therefore: False Item: Is 156 a multiple of 12? Therefore: True Item: Is 22316 a multiple of 7? Therefore: True Item: Does 97 divide 109177671? Therefore: True Item: Is 1481226 a multiple of 397? Therefore: False Item: Is 1267508122 a multiple of 16? Therefore: False Item: Is 70430579 a multiple of 30? Therefore: False Item: Is 5124256 a multiple of 708? Therefore: False Item: Does 10 divide 571071309? Therefore: False Item: Is 7182 a multiple of 399? Therefore: True Item: Does 26 divide 312? Therefore: True Item: Does 57 divide 1577874? Therefore: True Item: Does 618 divide 87418826? Therefore: False Item: Is 5451584 a multiple of 1648? Therefore: True Item: Is 2259 a multiple of 9? Therefore: True Item: Is 12446 a multiple of 12? Therefore: False Item: Is 1854192 a multiple of 19? Therefore: False Item: Is 751 a multiple of 13? Therefore: False Item: Does 704 divide 3296128? Therefore: True Item: Is 28538472 a multiple of 61? Therefore: False Item: Is 13 a factor of 1131? Therefore: True Item: Is 99 a factor of 1089? Therefore: True Item: Is 18 a factor of 28224? Therefore: True Item: Does 16 divide 3806? Therefore: False Item: Is 128 a factor of 8064? Therefore: True Item: Is 218 a factor of 142790? Therefore: True Item: Is 67833084 a multiple of 83? Therefore: False Item: Is 22 a factor of 14014? Therefore: True Item: Is
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probability: swr p sequence --------------------------- Problem: Four letters picked without replacement from mvlmmllvmvmvlmm. Give prob of sequence vvvm. Gives: 1/195 Problem: Calculate prob of sequence mk when two letters picked without replacement from {j: 1, m: 1, k: 1, c: 1, a: 2, g: 1}. Gives: 1/42 Problem: Three letters picked without replacement from kknzq. Give prob of sequence kzn. Gives: 1/30 Problem: Calculate prob of sequence lx when two letters picked without replacement from {x: 2, u: 2, m: 1, s: 1, l: 1}. Gives: 1/21 Problem: Calculate prob of sequence qppp when four letters picked without replacement from {p: 7, y: 4, q: 1, s: 2}. Gives: 5/572 Problem: What is prob of sequence aacc when four letters picked without replacement from {c: 2, a: 9}? Gives: 1/55 Problem: Calculate prob of sequence izvz when four letters picked without replacement from {s: 1, z: 4, i: 4, v: 1}. Gives: 1/105 Problem: Four letters picked without replacement from dddsdddsdddddsdddd. What is prob of sequence ddds? Gives: 91/816 Problem: What is prob of sequence tt when two letters picked without replacement from {r: 2, h: 1, s: 1, t: 2, a: 1, e: 1}? Gives: 1/28 Problem: Two letters picked without replacement from {f: 4, r: 1, z: 3, u: 4, w: 1}. Give prob of sequence rf. Gives: 1/39 Problem: Two letters picked without replacement from {t: 8, c: 2, e: 3, x: 4, u: 2}. Give prob of sequence tc. Gives: 8/171 Problem: What is prob of sequence wy when two letters picked without replacement from {y: 3, u: 1, p: 1, j: 1, w: 1, v: 5}? Gives: 1/44 Problem: Calculate prob of sequence iug when three letters picked without replacement from {u: 1, i: 7, g: 1}. Gives: 1/72 Problem: Calculate prob of sequence yfy when three letters picked without replacement from ljjyjlflyjyyy. Gives: 5/429 Problem: What is prob of sequence ol when two letters picked without replacement from lllllollool? Gives: 12/55 Problem: What is prob of sequence uuxx when four letters picked without replacement from {u: 3
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numbers: div remainder ---------------------- Q.: Calculate the remainder when 491 is divided by 97. Key: 6 Q.: What is the remainder when 17583 is divided by 26? Key: 7 Q.: What is the remainder when 55528618 is divided by 140? Key: 138 Q.: What is the remainder when 782164 is divided by 30082? Key: 32 Q.: Calculate the remainder when 26872 is divided by 210. Key: 202 Q.: Calculate the remainder when 1780 is divided by 18. Key: 16 Q.: What is the remainder when 7 is divided by 5? Key: 2 Q.: What is the remainder when 5935 is divided by 156? Key: 7 Q.: What is the remainder when 213416 is divided by 814? Key: 148 Q.: Calculate the remainder when 19297285 is divided by 9220. Key: 9045 Q.: What is the remainder when 869926 is divided by 869861? Key: 65 Q.: Calculate the remainder when 153964 is divided by 860. Key: 24 Q.: Calculate the remainder when 1419 is divided by 877. Key: 542 Q.: What is the remainder when 1234 is divided by 159? Key: 121 Q.: What is the remainder when 107 is divided by 37? Key: 33 Q.: Calculate the remainder when 1908 is divided by 1078. Key: 830 Q.: Calculate the remainder when 213261 is divided by 221. Key: 217 Q.: What is the remainder when 455879 is divided by 455534? Key: 345 Q.: What is the remainder when 49044 is divided by 6130? Key: 4 Q.: What is the remainder when 1583891 is divided by 395712? Key: 1043 Q.: What is the remainder when 108776 is divided by 54131? Key: 514 Q.: Calculate the remainder when 546 is divided by 546. Key: 0 Q.: Calculate the remainder when 20011343 is divided by 31967. Key: 1 Q.: Calculate the remainder when 589 is divided by 118. Key: 117 Q.: What is the remainder when 20533739 is divided by 12? Key: 11 Q.: Calculate the remainder when 143 is divided by 6. Key: 5 Q.: Calculate the remainder when 94437844 is divided by 50. Key: 44 Q.: What is the remainder when 4249548 is divided by 653? Key: 477 Q.: What is the remainder when 7685 is divided by 2554? Key: 23 Q.: Calculate the remainder when 16848797 is divid
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numbers: is factor ------------------ Exercise: Is 73 a factor of 2013645397? Outcome: False Exercise: Does 15 divide 2175? Outcome: True Exercise: Is 37649063 a multiple of 26? Outcome: False Exercise: Is 967870 a multiple of 10? Outcome: True Exercise: Is 48 a factor of 2112? Outcome: True Exercise: Is 663 a factor of 10886986? Outcome: False Exercise: Is 22 a factor of 215283926? Outcome: True Exercise: Is 57 a factor of 4845? Outcome: True Exercise: Does 7 divide 1810? Outcome: False Exercise: Is 16 a factor of 22447968? Outcome: True Exercise: Is 18928 a multiple of 28? Outcome: True Exercise: Is 649 a factor of 2408603? Outcome: False Exercise: Is 903364 a multiple of 308? Outcome: True Exercise: Is 271 a factor of 529826739? Outcome: False Exercise: Is 7 a factor of 420? Outcome: True Exercise: Is 4158951 a multiple of 346? Outcome: False Exercise: Does 7 divide 64073? Outcome: False Exercise: Is 4 a factor of 159308977? Outcome: False Exercise: Does 3 divide 63? Outcome: True Exercise: Is 2877 a multiple of 3? Outcome: True Exercise: Does 23 divide 920? Outcome: True Exercise: Is 345 a multiple of 38? Outcome: False Exercise: Is 68548 a multiple of 13? Outcome: False Exercise: Is 108 a factor of 258768? Outcome: True Exercise: Does 36 divide 2818933? Outcome: False Exercise: Is 28 a factor of 8337? Outcome: False Exercise: Does 104 divide 8700? Outcome: False Exercise: Is 86136 a multiple of 24? Outcome: True Exercise: Does 30 divide 94632337? Outcome: False Exercise: Does 5 divide 149? Outcome: False Exercise: Is 14 a factor of 79758? Outcome: True Exercise: Does 22 divide 1371? Outcome: False Exercise: Is 612 a factor of 25079193? Outcome: False Exercise: Is 69 a factor of 1019544? Outcome: True Exercise: Does 173 divide 77860? Outcome: False Exercise: Is 12 a factor of 363? Outcome: False Exercise: Is 426978 a multiple of 54? Outcome: True Exercise: Is 1974 a multiple of 42? Outcome: True Exercise: Is 20 a factor of 510637978? Outcome: False Exercise: Doe
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numbers: div remainder ---------------------- Problem Statement: What is the remainder when 78 is divided by 69? Thus: 9 Problem Statement: What is the remainder when 127 is divided by 58? Thus: 11 Problem Statement: Calculate the remainder when 35428 is divided by 1476. Thus: 4 Problem Statement: What is the remainder when 325 is divided by 162? Thus: 1 Problem Statement: What is the remainder when 14651801 is divided by 2938? Thus: 2933 Problem Statement: What is the remainder when 235406 is divided by 78441? Thus: 83 Problem Statement: Calculate the remainder when 678137 is divided by 138. Thus: 5 Problem Statement: Calculate the remainder when 239920 is divided by 7266. Thus: 142 Problem Statement: What is the remainder when 88111041 is divided by 63? Thus: 60 Problem Statement: Calculate the remainder when 416 is divided by 107. Thus: 95 Problem Statement: What is the remainder when 243 is divided by 78? Thus: 9 Problem Statement: What is the remainder when 23495 is divided by 712? Thus: 711 Problem Statement: Calculate the remainder when 5191609 is divided by 241. Thus: 228 Problem Statement: Calculate the remainder when 172363 is divided by 41. Thus: 40 Problem Statement: Calculate the remainder when 3721 is divided by 624. Thus: 601 Problem Statement: What is the remainder when 995888 is divided by 26206? Thus: 60 Problem Statement: Calculate the remainder when 22281 is divided by 22. Thus: 17 Problem Statement: Calculate the remainder when 18078 is divided by 107. Thus: 102 Problem Statement: Calculate the remainder when 2639 is divided by 875. Thus: 14 Problem Statement: What is the remainder when 671 is divided by 25? Thus: 21 Problem Statement: Calculate the remainder when 23573 is divided by 91. Thus: 4 Problem Statement: What is the remainder when 778 is divided by 15? Thus: 13 Problem Statement: What is the remainder when 8352 is divided by 7116? Thus: 1236 Problem Statement: What is the remainder when 290 is divided by 44? Thus: 26 Problem Statement:
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numbers: is factor ------------------ Let us solve: Is 16 a factor of 327? Result: False Let us solve: Does 536 divide 22916965? Result: False Let us solve: Is 96032438 a multiple of 2098? Result: False Let us solve: Is 11 a factor of 50384? Result: False Let us solve: Is 631894 a multiple of 34? Result: False Let us solve: Does 29 divide 29263233? Result: True Let us solve: Is 3 a factor of 2744? Result: False Let us solve: Is 387928157 a multiple of 79? Result: True Let us solve: Is 770 a multiple of 45? Result: False Let us solve: Is 19 a factor of 7513? Result: False Let us solve: Is 12 a factor of 4614055? Result: False Let us solve: Is 75 a factor of 6740467? Result: False Let us solve: Does 52 divide 5096? Result: True Let us solve: Does 10 divide 23270? Result: True Let us solve: Does 78 divide 12324? Result: True Let us solve: Is 6336600 a multiple of 10? Result: True Let us solve: Is 7 a factor of 2273627129? Result: False Let us solve: Does 14 divide 1301? Result: False Let us solve: Is 88 a factor of 965836? Result: False Let us solve: Does 8 divide 2568? Result: True Let us solve: Is 13 a factor of 2507795303? Result: True Let us solve: Is 1449 a multiple of 15? Result: False Let us solve: Does 131 divide 12576? Result: True Let us solve: Is 49 a factor of 99176? Result: True Let us solve: Is 18898111 a multiple of 118? Result: False Let us solve: Does 38 divide 25004? Result: True Let us solve: Is 697 a factor of 1724045? Result: False Let us solve: Is 185749525 a multiple of 325? Result: True Let us solve: Is 73 a factor of 7075? Result: False Let us solve: Is 7597113 a multiple of 51? Result: True Let us solve: Is 299520 a multiple of 60? Result: True Let us solve: Does 3144 divide 1680412750? Result: False Let us solve: Is 366 a factor of 88938? Result: True Let us solve: Does 202 divide 2424? Result: True Let us solve: Is 11 a factor of 65926439? Result: False Let us solve: Is 23 a factor of 90588294? Result: False Let us solve: Is 92 a factor of 6
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numbers: lcm ------------ Statement: Calculate the common denominator of 63/136 and 64/425. Conclusion: 3400 Statement: Find the common denominator of 37/45 and 47/5475. Conclusion: 16425 Statement: Calculate the smallest common multiple of 3610318 and 2. Conclusion: 3610318 Statement: Calculate the lowest common multiple of 196 and 26. Conclusion: 2548 Statement: Find the common denominator of -47/591 and 79/105. Conclusion: 20685 Statement: Calculate the smallest common multiple of 4544 and 96. Conclusion: 13632 Statement: What is the smallest common multiple of 19875 and 375? Conclusion: 19875 Statement: Find the common denominator of -1/168 and 15/49. Conclusion: 1176 Statement: What is the smallest common multiple of 52290 and 256802? Conclusion: 11556090 Statement: What is the lowest common multiple of 18 and 14220? Conclusion: 14220 Statement: What is the common denominator of -71/3 and 11/281? Conclusion: 843 Statement: What is the lowest common multiple of 252 and 16590? Conclusion: 99540 Statement: What is the lowest common multiple of 16 and 14? Conclusion: 112 Statement: What is the least common multiple of 2250 and 36650? Conclusion: 1649250 Statement: What is the common denominator of -23/169228 and -99/4? Conclusion: 169228 Statement: What is the least common multiple of 3520 and 240? Conclusion: 10560 Statement: Calculate the lowest common multiple of 70814355 and 14162871. Conclusion: 70814355 Statement: What is the common denominator of -33/104 and -163/453804? Conclusion: 907608 Statement: Calculate the common denominator of 61/8 and -83/74. Conclusion: 296 Statement: What is the common denominator of -101/168 and 81/15400? Conclusion: 46200 Statement: Find the common denominator of 21/943 and -50/3. Conclusion: 2829 Statement: What is the lowest common multiple of 61371 and 68190? Conclusion: 613710 Statement: Calculate the common denominator of 19/54 and -1/81. Conclusion: 162 Statement: What is the common denominator of 103/18 and 71/1956816? C
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numbers: is prime ----------------- Subquestion: Is 9738401 a prime number? Fix: True Subquestion: Is 1550962603 composite? Fix: False Subquestion: Is 42953 prime? Fix: True Subquestion: Is 57713141 prime? Fix: False Subquestion: Is 3337 a prime number? Fix: False Subquestion: Is 116332981427 a composite number? Fix: True Subquestion: Is 114118 composite? Fix: True Subquestion: Is 4079897 a composite number? Fix: True Subquestion: Is 51473 composite? Fix: False Subquestion: Is 21602699 prime? Fix: False Subquestion: Is 2818339 a composite number? Fix: True Subquestion: Is 537877 composite? Fix: False Subquestion: Is 22177 composite? Fix: True Subquestion: Is 22111 a composite number? Fix: False Subquestion: Is 10235494591 prime? Fix: False Subquestion: Is 105087187819 prime? Fix: True Subquestion: Is 454 a composite number? Fix: True Subquestion: Is 54937 a composite number? Fix: True Subquestion: Is 65735785 composite? Fix: True Subquestion: Is 239018349 composite? Fix: True Subquestion: Is 67680935657 a prime number? Fix: False Subquestion: Is 124295 a prime number? Fix: False Subquestion: Is 5051 prime? Fix: True Subquestion: Is 4054667 composite? Fix: False Subquestion: Is 2855729 composite? Fix: False Subquestion: Is 8538029 prime? Fix: False Subquestion: Is 9236867 a prime number? Fix: True Subquestion: Is 11175223 composite? Fix: False Subquestion: Is 3731393 composite? Fix: False Subquestion: Is 712457 a composite number? Fix: True Subquestion: Is 11959 a composite number? Fix: False Subquestion: Is 54155 a composite number? Fix: True Subquestion: Is 116099 a prime number? Fix: True Subquestion: Is 603533954 composite? Fix: True Subquestion: Is 266354381 a composite number? Fix: False Subquestion: Is 21507847 prime? Fix: True Subquestion: Is 4798555415 prime? Fix: False Subquestion: Is 765270901 composite? Fix: True Subquestion: Is 187045 prime? Fix: False Subquestion: Is 326863 prime? Fix: True Subquestion: Is 1898122427 prime? Fix: False Subquestion: Is 13
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numbers: place value -------------------- Let: What is the tens digit of 8836? Outcome: 3 Let: What is the thousands digit of 6044876? Outcome: 4 Let: What is the tens digit of 819498? Outcome: 9 Let: What is the hundred thousands digit of 7049416103? Outcome: 4 Let: What is the tens digit of 757? Outcome: 5 Let: What is the thousands digit of 49821? Outcome: 9 Let: What is the ten thousands digit of 1960665609? Outcome: 6 Let: What is the hundreds digit of 6559? Outcome: 5 Let: What is the ten millions digit of 32120196? Outcome: 3 Let: What is the units digit of 1299650? Outcome: 0 Let: What is the hundreds digit of 5186513? Outcome: 5 Let: What is the thousands digit of 93229867? Outcome: 9 Let: What is the thousands digit of 5366128? Outcome: 6 Let: What is the hundreds digit of 6567? Outcome: 5 Let: What is the units digit of 12314204? Outcome: 4 Let: What is the ten thousands digit of 57519? Outcome: 5 Let: What is the units digit of 388934? Outcome: 4 Let: What is the millions digit of 4393263? Outcome: 4 Let: What is the hundreds digit of 13778324? Outcome: 3 Let: What is the hundreds digit of 5289? Outcome: 2 Let: What is the millions digit of 2576272810? Outcome: 6 Let: What is the millions digit of 13029181? Outcome: 3 Let: What is the millions digit of 2950353? Outcome: 2 Let: What is the tens digit of 140027733? Outcome: 3 Let: What is the tens digit of 1144? Outcome: 4 Let: What is the millions digit of 152972080? Outcome: 2 Let: What is the tens digit of 3118? Outcome: 1 Let: What is the thousands digit of 17847545? Outcome: 7 Let: What is the hundred millions digit of 397633246? Outcome: 3 Let: What is the units digit of 404126? Outcome: 6 Let: What is the tens digit of 99658595? Outcome: 9 Let: What is the tens digit of 290071? Outcome: 7 Let: What is the hundred thousands digit of 3435373? Outcome: 4 Let: What is the units digit of 9106? Outcome: 6 Let: What is the tens digit of 815357213? Outcome: 1 Let: What is the tens digit of 315? Outcome: 1 L
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numbers: place value -------------------- Prompt: What is the millions digit of 9173891? Response: 9 Prompt: What is the ten thousands digit of 22153? Response: 2 Prompt: What is the hundreds digit of 125744? Response: 7 Prompt: What is the hundreds digit of 191861? Response: 8 Prompt: What is the tens digit of 1104? Response: 0 Prompt: What is the hundreds digit of 381? Response: 3 Prompt: What is the tens digit of 5113964? Response: 6 Prompt: What is the tens digit of 4818? Response: 1 Prompt: What is the hundred millions digit of 768189509? Response: 7 Prompt: What is the ten millions digit of 1019243886? Response: 1 Prompt: What is the units digit of 7834060? Response: 0 Prompt: What is the hundreds digit of 2063100? Response: 1 Prompt: What is the tens digit of 8886? Response: 8 Prompt: What is the units digit of 2518104? Response: 4 Prompt: What is the ten thousands digit of 10470? Response: 1 Prompt: What is the units digit of 7942720? Response: 0 Prompt: What is the units digit of 172267? Response: 7 Prompt: What is the units digit of 1283? Response: 3 Prompt: What is the ten thousands digit of 346068? Response: 4 Prompt: What is the hundred thousands digit of 511226? Response: 5 Prompt: What is the ten thousands digit of 91971? Response: 9 Prompt: What is the tens digit of 6978? Response: 7 Prompt: What is the thousands digit of 7514350? Response: 4 Prompt: What is the tens digit of 823780? Response: 8 Prompt: What is the units digit of 824? Response: 4 Prompt: What is the hundred millions digit of 267441406? Response: 2 Prompt: What is the units digit of 3123448? Response: 8 Prompt: What is the units digit of 208327? Response: 7 Prompt: What is the ten millions digit of 1093970606? Response: 9 Prompt: What is the units digit of 3984? Response: 4 Prompt: What is the hundred thousands digit of 2997740? Response: 9 Prompt: What is the hundred thousands digit of 60953727? Response: 9 Prompt: What is the tens digit of 1483592? Response: 9 Prompt: What is the th
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numbers: gcd ------------ Exercise: Calculate the greatest common divisor of 468 and 5196. Fix: 12 Exercise: Calculate the highest common factor of 169737830 and 293. Fix: 293 Exercise: What is the greatest common divisor of 2457 and 9737? Fix: 91 Exercise: What is the highest common factor of 1548960 and 612208? Fix: 7376 Exercise: What is the highest common factor of 326 and 489? Fix: 163 Exercise: Calculate the greatest common factor of 996 and 12. Fix: 12 Exercise: What is the highest common divisor of 141 and 162996? Fix: 141 Exercise: Calculate the greatest common factor of 40 and 18204335. Fix: 5 Exercise: What is the highest common divisor of 54935420 and 3650? Fix: 730 Exercise: What is the greatest common divisor of 8 and 6? Fix: 2 Exercise: Calculate the highest common divisor of 17057 and 26277. Fix: 461 Exercise: What is the greatest common factor of 120 and 45? Fix: 15 Exercise: Calculate the highest common divisor of 60 and 1729260. Fix: 60 Exercise: Calculate the greatest common divisor of 14 and 1253. Fix: 7 Exercise: What is the highest common divisor of 4967486411 and 2567? Fix: 2567 Exercise: Calculate the highest common divisor of 3525 and 3750. Fix: 75 Exercise: What is the highest common factor of 21 and 26157? Fix: 3 Exercise: Calculate the greatest common factor of 13427 and 72691. Fix: 463 Exercise: Calculate the highest common factor of 5586 and 641508. Fix: 294 Exercise: What is the highest common divisor of 535238352 and 11? Fix: 11 Exercise: What is the highest common factor of 7 and 3325? Fix: 7 Exercise: Calculate the greatest common divisor of 9491274 and 77597. Fix: 611 Exercise: What is the highest common factor of 1268488 and 988? Fix: 52 Exercise: Calculate the greatest common divisor of 3499710 and 30. Fix: 30 Exercise: What is the highest common divisor of 140 and 476? Fix: 28 Exercise: Calculate the greatest common divisor of 66 and 30. Fix: 6 Exercise: Calculate the greatest common divisor of 611626 and 5950. Fix: 34 Exercise
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probability: swr p level set ---------------------------- Q: Four letters picked without replacement from {n: 4, p: 4, z: 1, i: 1, r: 3}. Give prob of picking 2 r and 2 n. Answer: 18/715 Q: What is prob of picking 1 x and 1 h when two letters picked without replacement from xhnhgrnrk? Answer: 1/18 Q: Two letters picked without replacement from {k: 7, e: 2, c: 11}. What is prob of picking 2 k? Answer: 21/190 Q: Calculate prob of picking 2 m, 1 z, and 1 t when four letters picked without replacement from {t: 4, z: 3, i: 1, h: 1, m: 2, b: 7}. Answer: 1/255 Q: Two letters picked without replacement from {n: 3, f: 2, a: 3}. What is prob of picking 1 a and 1 f? Answer: 3/14 Q: Calculate prob of picking 1 v and 2 j when three letters picked without replacement from {h: 2, v: 6, z: 1, k: 3, j: 2}. Answer: 3/182 Q: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from ppprzxzppmppxp. Answer: 16/91 Q: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3}. Answer: 1 Q: Four letters picked without replacement from hhvotjjpo. What is prob of picking 2 h and 2 o? Answer: 1/126 Q: Three letters picked without replacement from {g: 6, l: 1, t: 1, o: 9}. What is prob of picking 3 g? Answer: 1/34 Q: Calculate prob of picking 1 y and 3 e when four letters picked without replacement from emymmemmmemeym. Answer: 8/1001 Q: Calculate prob of picking 1 m and 2 w when three letters picked without replacement from {w: 2, b: 3, z: 5, m: 2}. Answer: 1/110 Q: Two letters picked without replacement from hbkxkgx. Give prob of picking 1 k and 1 b. Answer: 2/21 Q: Two letters picked without replacement from dautpsadp. What is prob of picking 2 a? Answer: 1/36 Q: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from ylnitcy. Answer: 1/21 Q: Two letters picked without replacement from vevveoov. What is prob of picking 2 o? Answer: 1/28 Q: Four letters picked without replacement from iihuiiuiiiiuiiihii.
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probability: swr p level set ---------------------------- Problem: Four letters picked without replacement from aabbabbabbbab. What is prob of picking 3 a and 1 b? Ans: 16/143 Problem: Two letters picked without replacement from kupukkkpuouoppokk. What is prob of picking 1 u and 1 k? Ans: 3/17 Problem: Calculate prob of picking 2 c when two letters picked without replacement from {c: 9, k: 2}. Ans: 36/55 Problem: Calculate prob of picking 2 g when two letters picked without replacement from {z: 5, g: 15}. Ans: 21/38 Problem: What is prob of picking 2 g when two letters picked without replacement from rggrrggggrg? Ans: 21/55 Problem: Calculate prob of picking 2 c when two letters picked without replacement from {i: 7, c: 2}. Ans: 1/36 Problem: Three letters picked without replacement from mmmmmhmmmmmmmmmmmm. Give prob of picking 2 m and 1 h. Ans: 1/6 Problem: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {m: 1, y: 2, e: 2, o: 2, p: 1}. Ans: 1/7 Problem: Four letters picked without replacement from {s: 3, x: 4, v: 1, c: 4, g: 1, n: 6}. What is prob of picking 1 s, 2 c, and 1 v? Ans: 3/646 Problem: What is prob of picking 3 v when three letters picked without replacement from vvlgvvlgvvsvsv? Ans: 2/13 Problem: Calculate prob of picking 1 j, 1 p, and 1 u when three letters picked without replacement from {w: 1, l: 4, v: 1, u: 2, j: 7, p: 5}. Ans: 7/114 Problem: What is prob of picking 3 z when three letters picked without replacement from {z: 4, g: 2}? Ans: 1/5 Problem: What is prob of picking 2 l and 1 c when three letters picked without replacement from {l: 2, c: 3}? Ans: 3/10 Problem: Two letters picked without replacement from osqmqqssumsossusqo. Give prob of picking 1 s and 1 o. Ans: 7/51 Problem: Three letters picked without replacement from {o: 3, n: 2, g: 5}. What is prob of picking 2 g and 1 o? Ans: 1/4 Problem: Calculate prob of picking 3 h and 1 r when four letters picked without replacement from {r: 2, h: 3, c: 2, f:
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numbers: gcd ------------ Inquiry: What is the highest common factor of 1170 and 1530? Derivation: 90 Inquiry: What is the highest common divisor of 398649 and 51792? Derivation: 249 Inquiry: What is the highest common factor of 633832 and 56? Derivation: 8 Inquiry: Calculate the highest common factor of 748 and 527. Derivation: 17 Inquiry: Calculate the greatest common factor of 128 and 23932. Derivation: 4 Inquiry: What is the highest common divisor of 301339753 and 2717? Derivation: 2717 Inquiry: What is the highest common factor of 2827 and 88? Derivation: 11 Inquiry: What is the highest common divisor of 3146 and 26? Derivation: 26 Inquiry: What is the highest common factor of 850 and 544? Derivation: 34 Inquiry: What is the greatest common divisor of 15239 and 254800? Derivation: 49 Inquiry: What is the highest common factor of 1041 and 80328071? Derivation: 347 Inquiry: Calculate the highest common factor of 69 and 36. Derivation: 3 Inquiry: Calculate the greatest common factor of 923 and 65. Derivation: 13 Inquiry: What is the highest common factor of 917 and 7? Derivation: 7 Inquiry: Calculate the greatest common divisor of 22 and 2035. Derivation: 11 Inquiry: What is the highest common factor of 216195 and 56805? Derivation: 105 Inquiry: Calculate the greatest common factor of 62383613 and 46. Derivation: 23 Inquiry: What is the greatest common factor of 16118128 and 208? Derivation: 208 Inquiry: Calculate the greatest common factor of 3195 and 18. Derivation: 9 Inquiry: Calculate the greatest common divisor of 40 and 90440. Derivation: 40 Inquiry: What is the highest common factor of 3553 and 20672? Derivation: 323 Inquiry: What is the greatest common factor of 34706 and 38850? Derivation: 518 Inquiry: Calculate the greatest common factor of 238 and 8903699. Derivation: 119 Inquiry: Calculate the greatest common factor of 700 and 1600. Derivation: 100 Inquiry: Calculate the highest common factor of 2339686 and 6850. Derivation: 274 Inquiry: Calculate the
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numbers: is prime ----------------- Part A: Is 1120883 composite? Response: False Part A: Is 63193754051 a composite number? Response: True Part A: Is 13751 a composite number? Response: False Part A: Is 12926523553 prime? Response: False Part A: Is 21685 composite? Response: True Part A: Is 116164439 a prime number? Response: False Part A: Is 238087831 a composite number? Response: True Part A: Is 2529047749 a prime number? Response: True Part A: Is 58333104111 prime? Response: False Part A: Is 238783 prime? Response: False Part A: Is 939481 a prime number? Response: False Part A: Is 727877 a prime number? Response: True Part A: Is 3103375069 a composite number? Response: False Part A: Is 151876517 a prime number? Response: False Part A: Is 161228953 a composite number? Response: False Part A: Is 55063597 a composite number? Response: False Part A: Is 551039 a prime number? Response: True Part A: Is 47100293351 a composite number? Response: True Part A: Is 6632999 a composite number? Response: True Part A: Is 31366 a prime number? Response: False Part A: Is 307721 composite? Response: True Part A: Is 7783051 a composite number? Response: True Part A: Is 160740383 a composite number? Response: False Part A: Is 2001355361 a composite number? Response: True Part A: Is 68880839 a prime number? Response: True Part A: Is 1073 a composite number? Response: True Part A: Is 8082759169 prime? Response: False Part A: Is 12359179 a composite number? Response: True Part A: Is 234199 composite? Response: True Part A: Is 104136569 prime? Response: True Part A: Is 175951793 prime? Response: True Part A: Is 32310307 prime? Response: True Part A: Is 1086841027 a composite number? Response: True Part A: Is 132785941 a prime number? Response: True Part A: Is 576613 prime? Response: True Part A: Is 768059 a composite number? Response: False Part A: Is 14131 a prime number? Response: False Part A: Is 1163609 composite? Response: False Part A: Is 35715247 a composite number? Response: Fa
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numbers: place value -------------------- Issue: What is the hundreds digit of 934? Gives: 9 Issue: What is the hundreds digit of 695? Gives: 6 Issue: What is the ten thousands digit of 17844606? Gives: 4 Issue: What is the ten thousands digit of 1498641390? Gives: 4 Issue: What is the thousands digit of 720737? Gives: 0 Issue: What is the hundreds digit of 4597? Gives: 5 Issue: What is the units digit of 14362? Gives: 2 Issue: What is the millions digit of 1472734? Gives: 1 Issue: What is the hundred thousands digit of 2032883? Gives: 0 Issue: What is the ten thousands digit of 17417? Gives: 1 Issue: What is the thousands digit of 5746930? Gives: 6 Issue: What is the hundreds digit of 605? Gives: 6 Issue: What is the thousands digit of 27704391? Gives: 4 Issue: What is the hundred thousands digit of 499212550? Gives: 2 Issue: What is the ten thousands digit of 51000? Gives: 5 Issue: What is the tens digit of 220496779? Gives: 7 Issue: What is the ten thousands digit of 57659? Gives: 5 Issue: What is the hundred thousands digit of 2325525309? Gives: 5 Issue: What is the hundred millions digit of 2225947546? Gives: 2 Issue: What is the units digit of 40668? Gives: 8 Issue: What is the thousands digit of 17050384? Gives: 0 Issue: What is the thousands digit of 8524? Gives: 8 Issue: What is the hundreds digit of 2738787? Gives: 7 Issue: What is the ten thousands digit of 869899901? Gives: 9 Issue: What is the millions digit of 390169536? Gives: 0 Issue: What is the millions digit of 76669778? Gives: 6 Issue: What is the hundreds digit of 1197955? Gives: 9 Issue: What is the units digit of 76789524? Gives: 4 Issue: What is the hundred thousands digit of 120070? Gives: 1 Issue: What is the hundreds digit of 149430? Gives: 4 Issue: What is the tens digit of 157? Gives: 5 Issue: What is the thousands digit of 55718027? Gives: 8 Issue: What is the hundreds digit of 23425534? Gives: 5 Issue: What is the units digit of 29781? Gives: 1 Issue: What is the units digit of 2253737
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numbers: is factor ------------------ Ask: Does 12 divide 2574866? Interpretation: False Ask: Does 9 divide 6840? Interpretation: True Ask: Is 38 a factor of 492025? Interpretation: False Ask: Is 477753494 a multiple of 16? Interpretation: False Ask: Does 20 divide 5180? Interpretation: True Ask: Is 3446566 a multiple of 822? Interpretation: False Ask: Is 15826 a multiple of 32? Interpretation: False Ask: Does 27 divide 2527349? Interpretation: False Ask: Is 10 a factor of 127760? Interpretation: True Ask: Is 821 a factor of 15786831? Interpretation: False Ask: Is 39 a factor of 719? Interpretation: False Ask: Does 44 divide 7304? Interpretation: True Ask: Is 5 a factor of 1240? Interpretation: True Ask: Is 404 a factor of 2057168? Interpretation: True Ask: Is 725 a factor of 127594326? Interpretation: False Ask: Is 99646 a multiple of 3? Interpretation: False Ask: Does 8 divide 16419538? Interpretation: False Ask: Does 14 divide 78060718? Interpretation: False Ask: Does 16 divide 20752? Interpretation: True Ask: Does 70 divide 2395540? Interpretation: True Ask: Is 57908 a multiple of 31? Interpretation: True Ask: Is 85 a factor of 48042425? Interpretation: True Ask: Does 13 divide 706901? Interpretation: True Ask: Is 8400 a multiple of 200? Interpretation: True Ask: Does 28 divide 33284104? Interpretation: True Ask: Is 47051817 a multiple of 771? Interpretation: True Ask: Is 42 a factor of 34523? Interpretation: False Ask: Is 449 a multiple of 10? Interpretation: False Ask: Does 8 divide 3775? Interpretation: False Ask: Is 1029537938 a multiple of 892? Interpretation: False Ask: Does 436 divide 668655? Interpretation: False Ask: Is 110 a factor of 44701470? Interpretation: True Ask: Is 542 a factor of 378592420? Interpretation: True Ask: Is 123810764 a multiple of 38? Interpretation: True Ask: Does 531 divide 492347? Interpretation: False Ask: Is 6415089883 a multiple of 15? Interpretation: False Ask: Is 1283 a factor of 33288718? Interpretation: True Ask: Does 5 d
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arithmetic: nearest integer root -------------------------------- Topic: What is the square root of 9298680 to the nearest integer? Steps: 3049 Topic: What is 13859310 to the power of 1/2, to the nearest integer? Steps: 3723 Topic: What is the square root of 2747 to the nearest integer? Steps: 52 Topic: What is 6765 to the power of 1/3, to the nearest integer? Steps: 19 Topic: What is 1028 to the power of 1/6, to the nearest integer? Steps: 3 Topic: What is the fifth root of 48900 to the nearest integer? Steps: 9 Topic: What is 245522224 to the power of 1/2, to the nearest integer? Steps: 15669 Topic: What is the square root of 210290 to the nearest integer? Steps: 459 Topic: What is the square root of 38937 to the nearest integer? Steps: 197 Topic: What is the third root of 2038038989 to the nearest integer? Steps: 1268 Topic: What is 148987557 to the power of 1/3, to the nearest integer? Steps: 530 Topic: What is the cube root of 902921 to the nearest integer? Steps: 97 Topic: What is 522441 to the power of 1/2, to the nearest integer? Steps: 723 Topic: What is 438 to the power of 1/6, to the nearest integer? Steps: 3 Topic: What is the square root of 358924416 to the nearest integer? Steps: 18945 Topic: What is 49184 to the power of 1/8, to the nearest integer? Steps: 4 Topic: What is 3480847598 to the power of 1/3, to the nearest integer? Steps: 1516 Topic: What is 1561 to the power of 1/3, to the nearest integer? Steps: 12 Topic: What is 1509787126 to the power of 1/2, to the nearest integer? Steps: 38856 Topic: What is 547 to the power of 1/9, to the nearest integer? Steps: 2 Topic: What is the fifth root of 500867821 to the nearest integer? Steps: 55 Topic: What is the square root of 2366 to the nearest integer? Steps: 49 Topic: What is 46248 to the power of 1/9, to the nearest integer? Steps: 3 Topic: What is 154117110 to the power of 1/2, to the nearest integer? Steps: 12414 Topic: What is 3296 to the power of 1/4, to the nearest integer? Steps: 8 Topic: Wh
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numbers: place value -------------------- Case: What is the millions digit of 42264515? Key: 2 Case: What is the units digit of 70088? Key: 8 Case: What is the ten thousands digit of 39151? Key: 3 Case: What is the hundreds digit of 1134273096? Key: 0 Case: What is the thousands digit of 1524319? Key: 4 Case: What is the units digit of 76422? Key: 2 Case: What is the tens digit of 810973104? Key: 0 Case: What is the hundred thousands digit of 163333594? Key: 3 Case: What is the units digit of 125039165? Key: 5 Case: What is the tens digit of 1332? Key: 3 Case: What is the ten thousands digit of 2663962? Key: 6 Case: What is the thousands digit of 22864? Key: 2 Case: What is the units digit of 5899? Key: 9 Case: What is the hundred thousands digit of 81987988? Key: 9 Case: What is the units digit of 51549872? Key: 2 Case: What is the units digit of 938284? Key: 4 Case: What is the hundred thousands digit of 152878824? Key: 8 Case: What is the thousands digit of 91456565? Key: 6 Case: What is the tens digit of 627? Key: 2 Case: What is the units digit of 10673549? Key: 9 Case: What is the thousands digit of 1669? Key: 1 Case: What is the thousands digit of 22661? Key: 2 Case: What is the thousands digit of 875947? Key: 5 Case: What is the ten thousands digit of 1982629? Key: 8 Case: What is the hundred thousands digit of 416202702? Key: 2 Case: What is the units digit of 389274805? Key: 5 Case: What is the hundreds digit of 311? Key: 3 Case: What is the hundreds digit of 2629? Key: 6 Case: What is the ten thousands digit of 13858? Key: 1 Case: What is the tens digit of 317308? Key: 0 Case: What is the ten thousands digit of 352730? Key: 5 Case: What is the ten thousands digit of 28526096? Key: 2 Case: What is the units digit of 2657? Key: 7 Case: What is the units digit of 777? Key: 7 Case: What is the ten millions digit of 10864199? Key: 1 Case: What is the hundreds digit of 2074? Key: 0 Case: What is the units digit of 782849659? Key: 9 Case: What is the thousands d
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measurement: conversion ----------------------- Puzzle: What is 3/8 of a kilogram in grams? Hence: 375 Puzzle: What is three tenths of a gram in milligrams? Hence: 300 Puzzle: Convert 7.210105km to nanometers. Hence: 7210105000000 Puzzle: What is 29.38782 months in years? Hence: 2.448985 Puzzle: Convert 858453.9l to millilitres. Hence: 858453900 Puzzle: How many millilitres are there in 21430.21l? Hence: 21430210 Puzzle: How many millilitres are there in 89.13455l? Hence: 89134.55 Puzzle: What is seventy-five quarters of a litre in millilitres? Hence: 18750 Puzzle: How many micrometers are there in 5/4 of a centimeter? Hence: 12500 Puzzle: How many millilitres are there in 67558.81 litres? Hence: 67558810 Puzzle: What is thirteen fifths of a tonne in kilograms? Hence: 2600 Puzzle: Convert 537.9974 centimeters to meters. Hence: 5.379974 Puzzle: What is eleven tenths of a tonne in kilograms? Hence: 1100 Puzzle: What is 10/9 of a hour in seconds? Hence: 4000 Puzzle: How many micrometers are there in three tenths of a millimeter? Hence: 300 Puzzle: What is 3/25 of a week in seconds? Hence: 72576 Puzzle: What is 3.255781 minutes in nanoseconds? Hence: 195346860000 Puzzle: What is 1/4 of a litre in millilitres? Hence: 250 Puzzle: How many kilograms are there in 0.6359924ng? Hence: 0.0000000000006359924 Puzzle: How many centimeters are there in 9.978238nm? Hence: 0.0000009978238 Puzzle: What is 5/4 of a second in milliseconds? Hence: 1250 Puzzle: Convert 274.964 millennia to centuries. Hence: 2749.64 Puzzle: How many millimeters are there in eleven halves of a meter? Hence: 5500 Puzzle: How many minutes are there in 9/10 of a week? Hence: 9072 Puzzle: How many centimeters are there in 4017.348 meters? Hence: 401734.8 Puzzle: Convert 0.3707656 centimeters to nanometers. Hence: 3707656 Puzzle: What is 0.772535 days in nanoseconds? Hence: 66747024000000 Puzzle: What is 0.7526556 minutes in seconds? Hence: 45.159336 Puzzle: What is 2567.478 days in nanoseconds? Hence: 22183009
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numbers: is prime ----------------- Topic: Is 4399 a composite number? Response: True Topic: Is 3982478 prime? Response: False Topic: Is 25954528907 a composite number? Response: False Topic: Is 135850281893 a composite number? Response: True Topic: Is 5815 prime? Response: False Topic: Is 7227859 a composite number? Response: False Topic: Is 132496731727 composite? Response: True Topic: Is 885337 prime? Response: False Topic: Is 34831063 prime? Response: False Topic: Is 119626947487 a prime number? Response: True Topic: Is 5024541 composite? Response: True Topic: Is 217969487 a composite number? Response: False Topic: Is 3565531 composite? Response: False Topic: Is 13352565451 prime? Response: True Topic: Is 287332943 a prime number? Response: True Topic: Is 21251 prime? Response: False Topic: Is 19103 a prime number? Response: False Topic: Is 234734767 a prime number? Response: True Topic: Is 14136220067 a prime number? Response: True Topic: Is 776240351 a composite number? Response: False Topic: Is 1317202763 a prime number? Response: False Topic: Is 11032835807 composite? Response: True Topic: Is 57059 a prime number? Response: True Topic: Is 6146593 a composite number? Response: False Topic: Is 3326575907 prime? Response: True Topic: Is 132594421 a prime number? Response: False Topic: Is 18503 a prime number? Response: True Topic: Is 162143 a prime number? Response: True Topic: Is 689459 a prime number? Response: True Topic: Is 72083471 composite? Response: True Topic: Is 337 a composite number? Response: False Topic: Is 640958629 prime? Response: True Topic: Is 3830257 prime? Response: False Topic: Is 733 a prime number? Response: True Topic: Is 48563 a composite number? Response: False Topic: Is 49807 prime? Response: True Topic: Is 65072113 prime? Response: True Topic: Is 17775943 a prime number? Response: True Topic: Is 136155389 a composite number? Response: False Topic: Is 8811463093 a composite number? Response: True Topic: Is 78342157 composite? Respons
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numbers: place value -------------------- Query: What is the thousands digit of 564564755? Sol: 4 Query: What is the ten thousands digit of 103423? Sol: 0 Query: What is the tens digit of 1448? Sol: 4 Query: What is the tens digit of 11158? Sol: 5 Query: What is the hundreds digit of 1798? Sol: 7 Query: What is the tens digit of 400057193? Sol: 9 Query: What is the hundreds digit of 2785585? Sol: 5 Query: What is the hundred thousands digit of 151098? Sol: 1 Query: What is the hundreds digit of 1147332? Sol: 3 Query: What is the units digit of 388? Sol: 8 Query: What is the hundreds digit of 435103564? Sol: 5 Query: What is the units digit of 1166681767? Sol: 7 Query: What is the tens digit of 49172? Sol: 7 Query: What is the ten thousands digit of 95305? Sol: 9 Query: What is the units digit of 3121? Sol: 1 Query: What is the units digit of 16501? Sol: 1 Query: What is the units digit of 11679? Sol: 9 Query: What is the millions digit of 31883430? Sol: 1 Query: What is the units digit of 28945181? Sol: 1 Query: What is the ten thousands digit of 15424? Sol: 1 Query: What is the hundreds digit of 15067409? Sol: 4 Query: What is the hundred millions digit of 197887369? Sol: 1 Query: What is the tens digit of 7179977? Sol: 7 Query: What is the tens digit of 1395? Sol: 9 Query: What is the thousands digit of 9797588? Sol: 7 Query: What is the thousands digit of 6360? Sol: 6 Query: What is the ten thousands digit of 51591729? Sol: 9 Query: What is the ten thousands digit of 38772? Sol: 3 Query: What is the tens digit of 216? Sol: 1 Query: What is the hundred thousands digit of 24519215? Sol: 5 Query: What is the tens digit of 128? Sol: 2 Query: What is the hundreds digit of 1086710? Sol: 7 Query: What is the hundreds digit of 6156? Sol: 1 Query: What is the millions digit of 35013599? Sol: 5 Query: What is the ten thousands digit of 164017543? Sol: 1 Query: What is the hundreds digit of 3903452? Sol: 4 Query: What is the ten thousands digit of 74407? Sol: 7 Query: What
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numbers: place value -------------------- Request: What is the millions digit of 9505383? = : 9 Request: What is the units digit of 12033042? = : 2 Request: What is the units digit of 2927? = : 7 Request: What is the thousands digit of 1384? = : 1 Request: What is the ten thousands digit of 2522290495? = : 9 Request: What is the tens digit of 284? = : 8 Request: What is the units digit of 226379? = : 9 Request: What is the millions digit of 341525562? = : 1 Request: What is the ten thousands digit of 75072362? = : 7 Request: What is the ten millions digit of 1846958172? = : 4 Request: What is the hundred millions digit of 2729662606? = : 7 Request: What is the tens digit of 331? = : 3 Request: What is the hundreds digit of 262257? = : 2 Request: What is the millions digit of 48703361? = : 8 Request: What is the ten thousands digit of 55076? = : 5 Request: What is the ten thousands digit of 40791005? = : 9 Request: What is the units digit of 129183? = : 3 Request: What is the units digit of 66711399? = : 9 Request: What is the hundred thousands digit of 991334058? = : 3 Request: What is the hundred thousands digit of 66790559? = : 7 Request: What is the thousands digit of 16313486? = : 3 Request: What is the thousands digit of 142789379? = : 9 Request: What is the tens digit of 48? = : 4 Request: What is the thousands digit of 813426? = : 3 Request: What is the tens digit of 3866384? = : 8 Request: What is the tens digit of 43833? = : 3 Request: What is the ten thousands digit of 317942206? = : 4 Request: What is the tens digit of 1877? = : 7 Request: What is the thousands digit of 8862192856? = : 2 Request: What is the ten thousands digit of 130141387? = : 4 Request: What is the thousands digit of 8429? = : 8 Request: What is the ten thousands digit of 34942? = : 3 Request: What is the tens digit of 53150? = : 5 Request: What is the hundreds digit of 806665? = : 6 Request: What is the hundred millions digit of 102167992? = : 1 Request: What is the hundred thousands
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numbers: is prime ----------------- Exercise: Is 25321586699 a prime number? Final Answer: True Exercise: Is 473091691 a composite number? Final Answer: True Exercise: Is 1302865 prime? Final Answer: False Exercise: Is 12229 prime? Final Answer: False Exercise: Is 40722523 a composite number? Final Answer: False Exercise: Is 23753 a prime number? Final Answer: True Exercise: Is 3262849 prime? Final Answer: False Exercise: Is 58711849771 prime? Final Answer: False Exercise: Is 1627459 prime? Final Answer: True Exercise: Is 19866463 composite? Final Answer: False Exercise: Is 12185 composite? Final Answer: True Exercise: Is 3729361 prime? Final Answer: False Exercise: Is 11232983 prime? Final Answer: True Exercise: Is 2992822471 a prime number? Final Answer: True Exercise: Is 4407045837 composite? Final Answer: True Exercise: Is 934747141 a prime number? Final Answer: True Exercise: Is 131045 prime? Final Answer: False Exercise: Is 2189 composite? Final Answer: True Exercise: Is 1111595531 composite? Final Answer: False Exercise: Is 49363 composite? Final Answer: False Exercise: Is 62001949 a composite number? Final Answer: True Exercise: Is 10527589 a prime number? Final Answer: True Exercise: Is 3789251 prime? Final Answer: False Exercise: Is 345383 composite? Final Answer: True Exercise: Is 132887549 a composite number? Final Answer: False Exercise: Is 21810306737 composite? Final Answer: True Exercise: Is 595810619 a prime number? Final Answer: False Exercise: Is 2448878903 a prime number? Final Answer: True Exercise: Is 65737 composite? Final Answer: True Exercise: Is 35912246857 a composite number? Final Answer: False Exercise: Is 211403 a composite number? Final Answer: False Exercise: Is 212711 prime? Final Answer: False Exercise: Is 15790103207 prime? Final Answer: False Exercise: Is 21751747 a prime number? Final Answer: False Exercise: Is 611554877 prime? Final Answer: False Exercise: Is 420773 a prime number? Final Answer: False Exercise: Is 678549701 comp
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numbers: place value -------------------- Problem #: What is the thousands digit of 2101? Math A: 2 Problem #: What is the thousands digit of 165859289? Math A: 9 Problem #: What is the thousands digit of 2628533931? Math A: 3 Problem #: What is the hundreds digit of 5344? Math A: 3 Problem #: What is the hundred thousands digit of 5835932? Math A: 8 Problem #: What is the tens digit of 40430? Math A: 3 Problem #: What is the millions digit of 6349319? Math A: 6 Problem #: What is the hundreds digit of 16856? Math A: 8 Problem #: What is the units digit of 1489? Math A: 9 Problem #: What is the ten thousands digit of 40878762? Math A: 7 Problem #: What is the hundred thousands digit of 1440881? Math A: 4 Problem #: What is the thousands digit of 29997? Math A: 9 Problem #: What is the tens digit of 159823273? Math A: 7 Problem #: What is the thousands digit of 37269? Math A: 7 Problem #: What is the units digit of 808689? Math A: 9 Problem #: What is the thousands digit of 66881654? Math A: 1 Problem #: What is the tens digit of 21? Math A: 2 Problem #: What is the thousands digit of 93789469? Math A: 9 Problem #: What is the hundred thousands digit of 102301? Math A: 1 Problem #: What is the tens digit of 6648228? Math A: 2 Problem #: What is the hundreds digit of 484898? Math A: 8 Problem #: What is the millions digit of 109950011? Math A: 9 Problem #: What is the ten thousands digit of 26606? Math A: 2 Problem #: What is the hundreds digit of 3360930243? Math A: 2 Problem #: What is the billions digit of 3431303012? Math A: 3 Problem #: What is the ten thousands digit of 331039? Math A: 3 Problem #: What is the hundred thousands digit of 9204437? Math A: 2 Problem #: What is the hundreds digit of 2157? Math A: 1 Problem #: What is the tens digit of 281616184? Math A: 8 Problem #: What is the tens digit of 778360072? Math A: 7 Problem #: What is the hundred millions digit of 4651047727? Math A: 6 Problem #: What is the units digit of 59760? Math A: 0 Problem #: Wh
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measurement: conversion ----------------------- Inquiry: What is 508.453 hours in seconds? Hence: 1830430.8 Inquiry: What is 3/40 of a gram in micrograms? Hence: 75000 Inquiry: What is 76.51205mm in meters? Hence: 0.07651205 Inquiry: Convert 0.199932 millilitres to litres. Hence: 0.000199932 Inquiry: What is 29/5 of a micrometer in nanometers? Hence: 5800 Inquiry: How many nanometers are there in 5.96939km? Hence: 5969390000000 Inquiry: How many microseconds are there in 3/5 of a millisecond? Hence: 600 Inquiry: What is 3955.9 milligrams in tonnes? Hence: 0.0000039559 Inquiry: What is 1.304434 kilometers in micrometers? Hence: 1304434000 Inquiry: How many minutes are there in 21/5 of a hour? Hence: 252 Inquiry: What is 4/15 of a century in months? Hence: 320 Inquiry: How many years are there in three eighths of a millennium? Hence: 375 Inquiry: How many meters are there in 519.776 nanometers? Hence: 0.000000519776 Inquiry: What is seven quarters of a meter in centimeters? Hence: 175 Inquiry: What is three fifths of a century in months? Hence: 720 Inquiry: What is 4.180727 nanometers in millimeters? Hence: 0.000004180727 Inquiry: What is one tenth of a meter in centimeters? Hence: 10 Inquiry: Convert 12.3002 meters to centimeters. Hence: 1230.02 Inquiry: How many millilitres are there in 3/50 of a litre? Hence: 60 Inquiry: What is one fifth of a litre in millilitres? Hence: 200 Inquiry: What is 1/5 of a hour in seconds? Hence: 720 Inquiry: What is one fifth of a litre in millilitres? Hence: 200 Inquiry: What is 9/10 of a litre in millilitres? Hence: 900 Inquiry: What is 88941.27cm in nanometers? Hence: 889412700000 Inquiry: What is 8.876695m in nanometers? Hence: 8876695000 Inquiry: What is fifty-four fifths of a litre in millilitres? Hence: 10800 Inquiry: How many years are there in fourty-two fifths of a century? Hence: 840 Inquiry: What is 0.3800126ml in litres? Hence: 0.0003800126 Inquiry: Convert 12.6526239s to days. Hence: 0.00014644240625 Inquiry: How many dec
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numbers: is prime ----------------- Subject: Is 111253817 composite? Result: False Subject: Is 3397594663 composite? Result: False Subject: Is 175141 a prime number? Result: True Subject: Is 142520276903 prime? Result: False Subject: Is 10956823 a composite number? Result: True Subject: Is 997759063 prime? Result: False Subject: Is 3683041069 prime? Result: True Subject: Is 140717 a prime number? Result: True Subject: Is 92251 prime? Result: True Subject: Is 5359483 a composite number? Result: True Subject: Is 5559249 a composite number? Result: True Subject: Is 10747771 prime? Result: True Subject: Is 64005065119 composite? Result: True Subject: Is 403679 composite? Result: False Subject: Is 17378371 prime? Result: False Subject: Is 3083 composite? Result: False Subject: Is 539916791 a prime number? Result: False Subject: Is 5632969 a composite number? Result: False Subject: Is 9067127 a prime number? Result: True Subject: Is 2416341883 a composite number? Result: True Subject: Is 3837781169 prime? Result: True Subject: Is 293634199 composite? Result: False Subject: Is 1430163767 prime? Result: True Subject: Is 42490945163 prime? Result: True Subject: Is 3047839979 prime? Result: False Subject: Is 823469 prime? Result: False Subject: Is 720584599 a prime number? Result: False Subject: Is 15919773 a prime number? Result: False Subject: Is 6401 prime? Result: False Subject: Is 12899 a composite number? Result: False Subject: Is 8211467 a prime number? Result: False Subject: Is 77089 a prime number? Result: False Subject: Is 751 a prime number? Result: True Subject: Is 838091 composite? Result: False Subject: Is 13313 a prime number? Result: True Subject: Is 519578989 a prime number? Result: True Subject: Is 4830863903 a composite number? Result: True Subject: Is 327089057 prime? Result: False Subject: Is 171926621573 prime? Result: False Subject: Is 8321873 composite? Result: True Subject: Is 3643651301 a composite number? Result: True Subject: Is 77376163355 a compo
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probability: swr p level set ---------------------------- Step: What is prob of picking 1 n and 3 u when four letters picked without replacement from {u: 7, n: 1}? A: 1/2 Step: Three letters picked without replacement from {v: 1, p: 11}. What is prob of picking 1 v and 2 p? A: 1/4 Step: Calculate prob of picking 1 h, 1 t, and 1 n when three letters picked without replacement from tnhtthnhtsntt. A: 27/143 Step: What is prob of picking 2 q when two letters picked without replacement from qqqwqqqqqqqq? A: 5/6 Step: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from {d: 1, n: 4, b: 2, t: 7}. A: 2/13 Step: Two letters picked without replacement from hzzhhuhhzzdzddhdhdd. What is prob of picking 1 u and 1 h? A: 7/171 Step: Calculate prob of picking 3 v when three letters picked without replacement from {c: 2, y: 7, o: 3, v: 3, i: 4}. A: 1/969 Step: What is prob of picking 1 z, 1 h, and 1 v when three letters picked without replacement from lzezztlvlzzvtht? A: 2/91 Step: Two letters picked without replacement from {j: 4, s: 14}. What is prob of picking 1 s and 1 j? A: 56/153 Step: Calculate prob of picking 2 s when two letters picked without replacement from sllllllssslssssssss. A: 22/57 Step: Two letters picked without replacement from ttmttmttttt. Give prob of picking 1 t and 1 m. A: 18/55 Step: Four letters picked without replacement from tloolxmex. Give prob of picking 1 l, 1 t, and 2 x. A: 1/63 Step: Three letters picked without replacement from {n: 1, m: 2, u: 1, k: 1, b: 1, r: 2}. What is prob of picking 1 n, 1 b, and 1 m? A: 1/28 Step: Calculate prob of picking 3 p when three letters picked without replacement from {i: 3, p: 11}. A: 165/364 Step: What is prob of picking 2 k and 2 r when four letters picked without replacement from {k: 4, r: 7, g: 1, m: 1}? A: 126/715 Step: What is prob of picking 2 f when two letters picked without replacement from {s: 3, f: 7}? A: 7/15 Step: Calculate prob of picking 1 b, 1 y, and 1 f when three
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measurement: conversion ----------------------- Issue: What is 3/40 of a kilometer in centimeters? Clarification: 7500 Issue: How many grams are there in seventeen quarters of a kilogram? Clarification: 4250 Issue: What is 8.365368 litres in millilitres? Clarification: 8365.368 Issue: What is 86/3 of a week in hours? Clarification: 4816 Issue: Convert 8962.1964us to days. Clarification: 0.000000103729125 Issue: How many micrometers are there in five quarters of a centimeter? Clarification: 12500 Issue: What is 29/2 of a decade in years? Clarification: 145 Issue: How many decades are there in one fifth of a millennium? Clarification: 20 Issue: How many minutes are there in 7/2 of a hour? Clarification: 210 Issue: What is 8/25 of a centimeter in micrometers? Clarification: 3200 Issue: What is 46/5 of a microgram in nanograms? Clarification: 9200 Issue: How many millilitres are there in three eighths of a litre? Clarification: 375 Issue: What is 3475.5 years in decades? Clarification: 347.55 Issue: What is nineteen quarters of a second in milliseconds? Clarification: 4750 Issue: What is 8856.796ml in litres? Clarification: 8.856796 Issue: What is 0.882866 milligrams in kilograms? Clarification: 0.000000882866 Issue: What is 270087.2um in kilometers? Clarification: 0.0002700872 Issue: How many micrograms are there in 77.38253 grams? Clarification: 77382530 Issue: What is 90.02045 years in centuries? Clarification: 0.9002045 Issue: Convert 12.3909t to nanograms. Clarification: 12390900000000000 Issue: What is seventeen halves of a second in milliseconds? Clarification: 8500 Issue: How many millilitres are there in 5/4 of a litre? Clarification: 1250 Issue: How many millilitres are there in 677780.7l? Clarification: 677780700 Issue: Convert 2.469459 litres to millilitres. Clarification: 2469.459 Issue: What is 48956.62kg in nanograms? Clarification: 48956620000000000 Issue: What is 7/2 of a gram in milligrams? Clarification: 3500 Issue: What is 244.9628 days in nanosecond
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numbers: div remainder ---------------------- Example: What is the remainder when 5471 is divided by 72? Clarification: 71 Example: Calculate the remainder when 183442649 is divided by 3. Clarification: 2 Example: Calculate the remainder when 36950 is divided by 11985. Clarification: 995 Example: What is the remainder when 758 is divided by 4? Clarification: 2 Example: What is the remainder when 891956 is divided by 44? Clarification: 32 Example: What is the remainder when 1212 is divided by 76? Clarification: 72 Example: What is the remainder when 69694 is divided by 222? Clarification: 208 Example: Calculate the remainder when 94726 is divided by 22. Clarification: 16 Example: What is the remainder when 553 is divided by 177? Clarification: 22 Example: What is the remainder when 201 is divided by 16? Clarification: 9 Example: What is the remainder when 487210 is divided by 162367? Clarification: 109 Example: Calculate the remainder when 27739225 is divided by 5353. Clarification: 5332 Example: Calculate the remainder when 454 is divided by 35. Clarification: 34 Example: Calculate the remainder when 77 is divided by 47. Clarification: 30 Example: Calculate the remainder when 113410 is divided by 603. Clarification: 46 Example: Calculate the remainder when 16084 is divided by 108. Clarification: 100 Example: What is the remainder when 31 is divided by 14? Clarification: 3 Example: What is the remainder when 3275 is divided by 39? Clarification: 38 Example: What is the remainder when 863 is divided by 171? Clarification: 8 Example: What is the remainder when 93 is divided by 12? Clarification: 9 Example: What is the remainder when 183587 is divided by 1257? Clarification: 65 Example: What is the remainder when 22575 is divided by 107? Clarification: 105 Example: What is the remainder when 419 is divided by 103? Clarification: 7 Example: What is the remainder when 174 is divided by 44? Clarification: 42 Example: What is the remainder when 52856 is divided by 52849? Cl
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numbers: is prime ----------------- Part A: Is 1517191 prime? Conclusion: False Part A: Is 2280547 a composite number? Conclusion: False Part A: Is 79951393411 a prime number? Conclusion: False Part A: Is 2300575903 a prime number? Conclusion: True Part A: Is 2656433041 composite? Conclusion: True Part A: Is 1559 composite? Conclusion: False Part A: Is 6284653 a prime number? Conclusion: False Part A: Is 79133 composite? Conclusion: False Part A: Is 51051722077 prime? Conclusion: True Part A: Is 2837334821 prime? Conclusion: True Part A: Is 70226477 a composite number? Conclusion: True Part A: Is 562894069 composite? Conclusion: False Part A: Is 3507019 a composite number? Conclusion: True Part A: Is 75108454283 a prime number? Conclusion: True Part A: Is 13329761 composite? Conclusion: False Part A: Is 3304387 prime? Conclusion: False Part A: Is 10245718117 prime? Conclusion: False Part A: Is 70289 composite? Conclusion: False Part A: Is 1122721 a composite number? Conclusion: False Part A: Is 5054514697 a composite number? Conclusion: False Part A: Is 227053 composite? Conclusion: False Part A: Is 5639 a prime number? Conclusion: True Part A: Is 161273291 a composite number? Conclusion: True Part A: Is 11496193 composite? Conclusion: False Part A: Is 1817799563 prime? Conclusion: True Part A: Is 379519 a prime number? Conclusion: False Part A: Is 351077 prime? Conclusion: True Part A: Is 6163 a composite number? Conclusion: False Part A: Is 427695357685 composite? Conclusion: True Part A: Is 937351 a prime number? Conclusion: True Part A: Is 1009811 prime? Conclusion: False Part A: Is 373903 a prime number? Conclusion: True Part A: Is 73786243 a prime number? Conclusion: False Part A: Is 40978810189 a prime number? Conclusion: True Part A: Is 9091 a prime number? Conclusion: True Part A: Is 82003 composite? Conclusion: False Part A: Is 380257 a prime number? Conclusion: False Part A: Is 2588711 a composite number? Conclusion: False Part A: Is 50162171 a composite
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numbers: place value -------------------- Math Problem: What is the hundreds digit of 16936? Response: 9 Math Problem: What is the thousands digit of 19673? Response: 9 Math Problem: What is the millions digit of 2547508? Response: 2 Math Problem: What is the units digit of 1706? Response: 6 Math Problem: What is the thousands digit of 437190? Response: 7 Math Problem: What is the thousands digit of 12223189? Response: 3 Math Problem: What is the thousands digit of 2273? Response: 2 Math Problem: What is the thousands digit of 9743? Response: 9 Math Problem: What is the hundreds digit of 2961470886? Response: 8 Math Problem: What is the hundreds digit of 23996? Response: 9 Math Problem: What is the units digit of 13256? Response: 6 Math Problem: What is the millions digit of 49278442? Response: 9 Math Problem: What is the ten thousands digit of 1574954? Response: 7 Math Problem: What is the hundreds digit of 24263545? Response: 5 Math Problem: What is the thousands digit of 190420? Response: 0 Math Problem: What is the ten thousands digit of 76618? Response: 7 Math Problem: What is the hundred millions digit of 138742470? Response: 1 Math Problem: What is the ten thousands digit of 30947566? Response: 4 Math Problem: What is the hundred thousands digit of 1833714? Response: 8 Math Problem: What is the hundreds digit of 41702? Response: 7 Math Problem: What is the hundreds digit of 634? Response: 6 Math Problem: What is the hundred thousands digit of 15083464? Response: 0 Math Problem: What is the hundreds digit of 349584? Response: 5 Math Problem: What is the units digit of 99767853? Response: 3 Math Problem: What is the hundred thousands digit of 169148? Response: 1 Math Problem: What is the units digit of 4447? Response: 7 Math Problem: What is the hundreds digit of 813334175? Response: 1 Math Problem: What is the ten millions digit of 119865623? Response: 1 Math Problem: What is the units digit of 4295148? Response: 8 Math Problem: What is the hundred thousands d
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measurement: time ----------------- Query: How many minutes are there between 1:53 AM and 6:49 AM? Eval: 296 Query: What is 680 minutes before 6:05 AM? Eval: 6:45 PM Query: How many minutes are there between 11:26 AM and 4:17 PM? Eval: 291 Query: What is 318 minutes before 1:34 AM? Eval: 8:16 PM Query: What is 400 minutes before 4:11 PM? Eval: 9:31 AM Query: How many minutes are there between 4:36 PM and 3:39 AM? Eval: 663 Query: How many minutes are there between 9:50 PM and 4:54 AM? Eval: 424 Query: How many minutes are there between 7:29 AM and 12:38 PM? Eval: 309 Query: What is 589 minutes before 8:24 PM? Eval: 10:35 AM Query: How many minutes are there between 7:11 PM and 4:06 AM? Eval: 535 Query: What is 692 minutes before 6:05 PM? Eval: 6:33 AM Query: How many minutes are there between 12:56 AM and 12:18 PM? Eval: 682 Query: How many minutes are there between 5:58 PM and 12:09 AM? Eval: 371 Query: What is 697 minutes after 2:56 PM? Eval: 2:33 AM Query: How many minutes are there between 10:18 PM and 12:43 AM? Eval: 145 Query: What is 167 minutes before 3:54 PM? Eval: 1:07 PM Query: What is 620 minutes after 10:53 PM? Eval: 9:13 AM Query: What is 82 minutes before 6:37 AM? Eval: 5:15 AM Query: How many minutes are there between 10:43 PM and 6:17 AM? Eval: 454 Query: What is 353 minutes after 3:25 PM? Eval: 9:18 PM Query: What is 231 minutes after 4:14 AM? Eval: 8:05 AM Query: How many minutes are there between 11:43 AM and 1:13 PM? Eval: 90 Query: How many minutes are there between 2:19 AM and 10:29 AM? Eval: 490 Query: What is 624 minutes before 12:41 AM? Eval: 2:17 PM Query: How many minutes are there between 7:15 AM and 4:31 PM? Eval: 556 Query: What is 420 minutes after 3:36 PM? Eval: 10:36 PM Query: How many minutes are there between 3:26 AM and 4:15 AM? Eval: 49 Query: How many minutes are there between 1:46 PM and 2:00 PM? Eval: 14 Query: How many minutes are there between 1:16 AM and 12:34 PM? Eval: 678 Query: How many minutes are there between 4:32 AM
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measurement: time ----------------- Exercise: What is 627 minutes after 3:18 AM? Steps: 1:45 PM Exercise: How many minutes are there between 11:56 AM and 7:50 PM? Steps: 474 Exercise: What is 325 minutes before 2:18 AM? Steps: 8:53 PM Exercise: What is 149 minutes after 11:48 AM? Steps: 2:17 PM Exercise: What is 203 minutes before 3:12 AM? Steps: 11:49 PM Exercise: How many minutes are there between 2:17 AM and 11:03 AM? Steps: 526 Exercise: What is 52 minutes after 1:43 AM? Steps: 2:35 AM Exercise: How many minutes are there between 12:26 PM and 4:35 PM? Steps: 249 Exercise: How many minutes are there between 6:43 AM and 11:34 AM? Steps: 291 Exercise: What is 156 minutes after 7:34 PM? Steps: 10:10 PM Exercise: What is 111 minutes before 2:42 PM? Steps: 12:51 PM Exercise: What is 672 minutes before 10:49 AM? Steps: 11:37 PM Exercise: How many minutes are there between 9:01 PM and 8:46 AM? Steps: 705 Exercise: How many minutes are there between 3:28 PM and 8:50 PM? Steps: 322 Exercise: What is 706 minutes before 4:12 AM? Steps: 4:26 PM Exercise: How many minutes are there between 6:36 PM and 5:40 AM? Steps: 664 Exercise: What is 628 minutes before 5:54 AM? Steps: 7:26 PM Exercise: How many minutes are there between 7:05 AM and 2:59 PM? Steps: 474 Exercise: How many minutes are there between 7:48 PM and 5:24 AM? Steps: 576 Exercise: How many minutes are there between 8:42 AM and 10:37 AM? Steps: 115 Exercise: How many minutes are there between 1:02 AM and 8:02 AM? Steps: 420 Exercise: How many minutes are there between 9:27 PM and 7:22 AM? Steps: 595 Exercise: What is 618 minutes before 12:57 AM? Steps: 2:39 PM Exercise: How many minutes are there between 6:55 AM and 3:47 PM? Steps: 532 Exercise: How many minutes are there between 10:19 AM and 12:52 PM? Steps: 153 Exercise: How many minutes are there between 2:22 AM and 1:29 PM? Steps: 667 Exercise: What is 322 minutes before 1:13 AM? Steps: 7:51 PM Exercise: What is 115 minutes before 11:56 PM? Steps: 10:01 PM Exerc
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numbers: gcd ------------ Subject: What is the greatest common factor of 1044 and 86304? Derivation: 348 Subject: Calculate the greatest common factor of 220 and 83120. Derivation: 20 Subject: What is the greatest common factor of 11215455 and 625605? Derivation: 3495 Subject: Calculate the greatest common factor of 34816125 and 2454. Derivation: 1227 Subject: Calculate the highest common divisor of 1611 and 7160. Derivation: 179 Subject: What is the highest common divisor of 268000 and 5600? Derivation: 800 Subject: What is the greatest common divisor of 10908 and 661550? Derivation: 202 Subject: What is the greatest common factor of 5 and 113? Derivation: 1 Subject: What is the highest common divisor of 2964 and 11764428? Derivation: 156 Subject: What is the highest common divisor of 81 and 54? Derivation: 27 Subject: What is the highest common divisor of 1308443 and 1809? Derivation: 67 Subject: What is the greatest common divisor of 2028 and 12? Derivation: 12 Subject: Calculate the highest common factor of 1185 and 5. Derivation: 5 Subject: What is the highest common divisor of 390 and 83190? Derivation: 30 Subject: What is the highest common divisor of 715 and 175747? Derivation: 143 Subject: Calculate the highest common divisor of 286 and 26. Derivation: 26 Subject: What is the greatest common divisor of 6631 and 2402588? Derivation: 19 Subject: What is the greatest common factor of 1884 and 69763892? Derivation: 628 Subject: Calculate the greatest common factor of 5236 and 15263416. Derivation: 476 Subject: What is the greatest common factor of 743104 and 34? Derivation: 34 Subject: What is the highest common factor of 388 and 3018640? Derivation: 388 Subject: What is the greatest common divisor of 1060137 and 186796? Derivation: 697 Subject: What is the greatest common factor of 45 and 240? Derivation: 15 Subject: What is the greatest common factor of 60 and 4400? Derivation: 20 Subject: What is the greatest common divisor of 712 and 8? Derivation: 8 Subjec
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numbers: is prime ----------------- Q): Is 9347 a prime number? Explanation: False Q): Is 86444587 composite? Explanation: True Q): Is 812103883 a composite number? Explanation: False Q): Is 199739 composite? Explanation: False Q): Is 9033373 composite? Explanation: True Q): Is 1168680431 a prime number? Explanation: False Q): Is 393599807 composite? Explanation: False Q): Is 17116217 a prime number? Explanation: True Q): Is 3649 composite? Explanation: True Q): Is 2903839 a composite number? Explanation: True Q): Is 929 prime? Explanation: True Q): Is 616645669 prime? Explanation: False Q): Is 272671 composite? Explanation: True Q): Is 1642423 composite? Explanation: False Q): Is 13935853 a composite number? Explanation: False Q): Is 35141 a prime number? Explanation: True Q): Is 293329 prime? Explanation: True Q): Is 166099 composite? Explanation: False Q): Is 29665409 prime? Explanation: True Q): Is 337627 composite? Explanation: False Q): Is 394939 a composite number? Explanation: True Q): Is 248759551 a composite number? Explanation: False Q): Is 3501768551 prime? Explanation: True Q): Is 441377 prime? Explanation: False Q): Is 309829 a composite number? Explanation: True Q): Is 8129 a prime number? Explanation: False Q): Is 2751083 a composite number? Explanation: False Q): Is 748851641 prime? Explanation: False Q): Is 4267 a composite number? Explanation: True Q): Is 397 prime? Explanation: True Q): Is 1767502465 composite? Explanation: True Q): Is 50922168905 a composite number? Explanation: True Q): Is 8225947943 a composite number? Explanation: True Q): Is 609385739 composite? Explanation: False Q): Is 909781 a prime number? Explanation: False Q): Is 95 a prime number? Explanation: False Q): Is 47508849863 prime? Explanation: True Q): Is 11188167731 a prime number? Explanation: False Q): Is 16837117 a prime number? Explanation: False Q): Is 4575993 composite? Explanation: True Q): Is 1628689 a prime number? Explanation: True Q): Is 63329579 a prime number?
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probability: swr p sequence --------------------------- Subquestion: Calculate prob of sequence pppb when four letters picked without replacement from {h: 2, p: 4, b: 6}. Gives: 2/165 Subquestion: Four letters picked without replacement from {h: 1, e: 2, q: 2, s: 3, d: 2, y: 10}. Give prob of sequence hqyq. Gives: 1/5814 Subquestion: Calculate prob of sequence fzpp when four letters picked without replacement from {y: 6, d: 1, f: 1, z: 6, p: 5}. Gives: 5/3876 Subquestion: Calculate prob of sequence knnn when four letters picked without replacement from {n: 4, u: 5, k: 1}. Gives: 1/210 Subquestion: Two letters picked without replacement from pwwppaaspppw. Give prob of sequence sp. Gives: 1/22 Subquestion: Four letters picked without replacement from yxxxxaxxs. What is prob of sequence xsay? Gives: 1/504 Subquestion: What is prob of sequence lyy when three letters picked without replacement from {i: 2, y: 5, l: 6}? Gives: 10/143 Subquestion: What is prob of sequence kt when two letters picked without replacement from {t: 4, k: 16}? Gives: 16/95 Subquestion: Three letters picked without replacement from {q: 2, j: 6}. Give prob of sequence jqj. Gives: 5/28 Subquestion: Three letters picked without replacement from {t: 3, s: 1}. Give prob of sequence tts. Gives: 1/4 Subquestion: What is prob of sequence ufr when three letters picked without replacement from rurruufurfrrurrrur? Gives: 5/204 Subquestion: Two letters picked without replacement from bbbbbgbghgbgz. What is prob of sequence hg? Gives: 1/39 Subquestion: What is prob of sequence tu when two letters picked without replacement from duidtttdttutdultuuui? Gives: 21/190 Subquestion: Four letters picked without replacement from wpidlwp. Give prob of sequence wlpd. Gives: 1/210 Subquestion: Two letters picked without replacement from {n: 1, u: 1, y: 1}. Give prob of sequence un. Gives: 1/6 Subquestion: Three letters picked without replacement from {h: 2, n: 2, o: 9, s: 5}. What is prob of sequence osn? Gives: 5/272 Sub
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measurement: time ----------------- Given: What is 398 minutes after 6:55 PM? Soln: 1:33 AM Given: How many minutes are there between 12:14 AM and 1:55 AM? Soln: 101 Given: What is 44 minutes after 2:23 AM? Soln: 3:07 AM Given: How many minutes are there between 5:45 PM and 4:28 AM? Soln: 643 Given: What is 607 minutes after 4:46 AM? Soln: 2:53 PM Given: How many minutes are there between 8:19 AM and 5:36 PM? Soln: 557 Given: What is 399 minutes after 9:57 PM? Soln: 4:36 AM Given: What is 82 minutes after 6:52 AM? Soln: 8:14 AM Given: How many minutes are there between 7:35 PM and 8:44 PM? Soln: 69 Given: What is 448 minutes after 3:05 PM? Soln: 10:33 PM Given: How many minutes are there between 5:02 AM and 12:55 PM? Soln: 473 Given: How many minutes are there between 4:29 AM and 4:31 AM? Soln: 2 Given: How many minutes are there between 5:54 AM and 5:36 PM? Soln: 702 Given: How many minutes are there between 3:59 PM and 4:40 PM? Soln: 41 Given: What is 688 minutes after 1:01 AM? Soln: 12:29 PM Given: How many minutes are there between 5:33 AM and 10:43 AM? Soln: 310 Given: How many minutes are there between 1:29 PM and 11:16 PM? Soln: 587 Given: What is 693 minutes before 7:02 AM? Soln: 7:29 PM Given: What is 675 minutes before 8:49 PM? Soln: 9:34 AM Given: What is 398 minutes after 5:40 PM? Soln: 12:18 AM Given: How many minutes are there between 6:19 PM and 8:31 PM? Soln: 132 Given: How many minutes are there between 11:18 AM and 12:59 PM? Soln: 101 Given: What is 184 minutes before 10:31 AM? Soln: 7:27 AM Given: What is 309 minutes after 7:30 PM? Soln: 12:39 AM Given: What is 366 minutes after 12:35 PM? Soln: 6:41 PM Given: How many minutes are there between 1:57 AM and 2:36 AM? Soln: 39 Given: What is 690 minutes before 8:05 AM? Soln: 8:35 PM Given: How many minutes are there between 3:14 AM and 12:20 PM? Soln: 546 Given: What is 398 minutes before 3:16 PM? Soln: 8:38 AM Given: What is 195 minutes after 2:54 AM? Soln: 6:09 AM Given: How many minutes are there b
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numbers: div remainder ---------------------- Q: Calculate the remainder when 167 is divided by 19. Therefore: 15 Q: Calculate the remainder when 6937 is divided by 23. Therefore: 14 Q: Calculate the remainder when 228 is divided by 13. Therefore: 7 Q: What is the remainder when 7964 is divided by 59? Therefore: 58 Q: Calculate the remainder when 156 is divided by 10. Therefore: 6 Q: What is the remainder when 5653 is divided by 13? Therefore: 11 Q: Calculate the remainder when 76696 is divided by 272. Therefore: 264 Q: What is the remainder when 626406 is divided by 137? Therefore: 42 Q: Calculate the remainder when 3619 is divided by 1173. Therefore: 100 Q: What is the remainder when 558 is divided by 35? Therefore: 33 Q: What is the remainder when 2334 is divided by 581? Therefore: 10 Q: What is the remainder when 78 is divided by 45? Therefore: 33 Q: What is the remainder when 520258 is divided by 1355? Therefore: 1293 Q: Calculate the remainder when 1287042 is divided by 183. Therefore: 3 Q: Calculate the remainder when 47 is divided by 38. Therefore: 9 Q: Calculate the remainder when 926 is divided by 174. Therefore: 56 Q: Calculate the remainder when 7337 is divided by 585. Therefore: 317 Q: What is the remainder when 1776 is divided by 52? Therefore: 8 Q: Calculate the remainder when 3986449 is divided by 325. Therefore: 324 Q: What is the remainder when 108349 is divided by 108344? Therefore: 5 Q: What is the remainder when 387256 is divided by 143? Therefore: 12 Q: What is the remainder when 26419 is divided by 33? Therefore: 19 Q: What is the remainder when 1019486 is divided by 20388? Therefore: 86 Q: What is the remainder when 1396857 is divided by 1396852? Therefore: 5 Q: What is the remainder when 3045 is divided by 10? Therefore: 5 Q: What is the remainder when 74289 is divided by 316? Therefore: 29 Q: Calculate the remainder when 5456 is divided by 454. Therefore: 8 Q: Calculate the remainder when 811872 is divided by 3623. Therefore: 320 Q: Calcula
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arithmetic: nearest integer root -------------------------------- Prompt: What is the fifth root of 730397 to the nearest integer? = : 15 Prompt: What is 288303826 to the power of 1/5, to the nearest integer? = : 49 Prompt: What is the square root of 89079264 to the nearest integer? = : 9438 Prompt: What is the square root of 857186 to the nearest integer? = : 926 Prompt: What is the sixth root of 1015 to the nearest integer? = : 3 Prompt: What is the ninth root of 721392616 to the nearest integer? = : 10 Prompt: What is the square root of 2137871 to the nearest integer? = : 1462 Prompt: What is the fourth root of 914435 to the nearest integer? = : 31 Prompt: What is the fourth root of 2888 to the nearest integer? = : 7 Prompt: What is 100366845 to the power of 1/10, to the nearest integer? = : 6 Prompt: What is the square root of 1551009 to the nearest integer? = : 1245 Prompt: What is the third root of 132512 to the nearest integer? = : 51 Prompt: What is 1500248 to the power of 1/3, to the nearest integer? = : 114 Prompt: What is the seventh root of 54419 to the nearest integer? = : 5 Prompt: What is the cube root of 22004618 to the nearest integer? = : 280 Prompt: What is 275509 to the power of 1/2, to the nearest integer? = : 525 Prompt: What is the square root of 2206558993 to the nearest integer? = : 46974 Prompt: What is the sixth root of 136180114 to the nearest integer? = : 23 Prompt: What is the fifth root of 21343 to the nearest integer? = : 7 Prompt: What is the fifth root of 14331696 to the nearest integer? = : 27 Prompt: What is the seventh root of 67811081 to the nearest integer? = : 13 Prompt: What is 10784089 to the power of 1/3, to the nearest integer? = : 221 Prompt: What is the cube root of 30258336 to the nearest integer? = : 312 Prompt: What is the cube root of 1942684920 to the nearest integer? = : 1248 Prompt: What is the fifth root of 297355 to the nearest integer? = : 12 Prompt: What is the square root of 50165001 to the nearest integer? =
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probability: swr p sequence --------------------------- Input: What is prob of sequence iijy when four letters picked without replacement from iyyyijiiyiyyyiv? Derivation: 1/156 Input: Two letters picked without replacement from {h: 2, g: 1, r: 2, s: 1, o: 2}. What is prob of sequence gg? Derivation: 0 Input: What is prob of sequence pf when two letters picked without replacement from hpnfnbtttntn? Derivation: 1/132 Input: Calculate prob of sequence njyy when four letters picked without replacement from {t: 1, n: 4, j: 2, y: 10}. Derivation: 3/238 Input: What is prob of sequence kfip when four letters picked without replacement from fvukupukfikiviu? Derivation: 1/1820 Input: Two letters picked without replacement from {x: 3, w: 8}. What is prob of sequence wx? Derivation: 12/55 Input: Calculate prob of sequence shs when three letters picked without replacement from hhxxcxhsxxxssxxxshxc. Derivation: 2/285 Input: Three letters picked without replacement from vnvpvvpvvpnpvppvv. Give prob of sequence npp. Derivation: 1/68 Input: What is prob of sequence sxsr when four letters picked without replacement from rrssxgvxm? Derivation: 1/378 Input: What is prob of sequence iu when two letters picked without replacement from {u: 1, m: 5, q: 1, i: 2, e: 6}? Derivation: 1/105 Input: Four letters picked without replacement from gxccfffcfx. What is prob of sequence ffxg? Derivation: 1/210 Input: Two letters picked without replacement from yhfyfffyyhhfffhffyy. Give prob of sequence hh. Derivation: 2/57 Input: What is prob of sequence db when two letters picked without replacement from dbbiyfb? Derivation: 1/14 Input: Four letters picked without replacement from {m: 15, a: 3}. What is prob of sequence maaa? Derivation: 1/816 Input: Calculate prob of sequence ojw when three letters picked without replacement from {o: 2, w: 7, j: 1}. Derivation: 7/360 Input: Calculate prob of sequence iof when three letters picked without replacement from {f: 2, l: 5, o: 5, k: 1, i: 3}. Derivation: 1/
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arithmetic: nearest integer root -------------------------------- Ask: What is 97174 to the power of 1/2, to the nearest integer? Finding: 312 Ask: What is 149710477 to the power of 1/2, to the nearest integer? Finding: 12236 Ask: What is the ninth root of 69516464 to the nearest integer? Finding: 7 Ask: What is 1896 to the power of 1/2, to the nearest integer? Finding: 44 Ask: What is 2983 to the power of 1/4, to the nearest integer? Finding: 7 Ask: What is the tenth root of 2130599 to the nearest integer? Finding: 4 Ask: What is 4819201 to the power of 1/3, to the nearest integer? Finding: 169 Ask: What is 21435 to the power of 1/9, to the nearest integer? Finding: 3 Ask: What is the square root of 113804708 to the nearest integer? Finding: 10668 Ask: What is 1424 to the power of 1/3, to the nearest integer? Finding: 11 Ask: What is 296 to the power of 1/3, to the nearest integer? Finding: 7 Ask: What is the cube root of 8858584 to the nearest integer? Finding: 207 Ask: What is 3561 to the power of 1/3, to the nearest integer? Finding: 15 Ask: What is the cube root of 1456407 to the nearest integer? Finding: 113 Ask: What is the square root of 42528 to the nearest integer? Finding: 206 Ask: What is 1584516 to the power of 1/7, to the nearest integer? Finding: 8 Ask: What is the square root of 1113359 to the nearest integer? Finding: 1055 Ask: What is the sixth root of 1562 to the nearest integer? Finding: 3 Ask: What is the third root of 1482 to the nearest integer? Finding: 11 Ask: What is 98842874 to the power of 1/9, to the nearest integer? Finding: 8 Ask: What is the third root of 379249 to the nearest integer? Finding: 72 Ask: What is the fourth root of 867298 to the nearest integer? Finding: 31 Ask: What is 518151 to the power of 1/8, to the nearest integer? Finding: 5 Ask: What is 1050031 to the power of 1/7, to the nearest integer? Finding: 7 Ask: What is 2023611 to the power of 1/2, to the nearest integer? Finding: 1423 Ask: What is 148807 to the power of
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numbers: is prime ----------------- Inquiry: Is 59741 composite? Output: True Inquiry: Is 23972618447 prime? Output: False Inquiry: Is 57969887 a prime number? Output: True Inquiry: Is 39877537 composite? Output: True Inquiry: Is 622203 a composite number? Output: True Inquiry: Is 396667 prime? Output: True Inquiry: Is 815554409 a composite number? Output: False Inquiry: Is 632819 a prime number? Output: False Inquiry: Is 134317 a composite number? Output: True Inquiry: Is 75638398174 prime? Output: False Inquiry: Is 425933 prime? Output: False Inquiry: Is 6187 composite? Output: True Inquiry: Is 50989 a prime number? Output: True Inquiry: Is 8015713553 a prime number? Output: True Inquiry: Is 74963 prime? Output: False Inquiry: Is 2192089 composite? Output: False Inquiry: Is 6575453 prime? Output: True Inquiry: Is 1059836077 composite? Output: True Inquiry: Is 5049041617 composite? Output: False Inquiry: Is 24902931227 a prime number? Output: False Inquiry: Is 21168068729 prime? Output: True Inquiry: Is 42076088903 a composite number? Output: False Inquiry: Is 244236077 composite? Output: False Inquiry: Is 2172331 a composite number? Output: True Inquiry: Is 98179 composite? Output: False Inquiry: Is 1340929 prime? Output: True Inquiry: Is 424849219 prime? Output: False Inquiry: Is 240079 a composite number? Output: True Inquiry: Is 50083177 composite? Output: False Inquiry: Is 244507 composite? Output: False Inquiry: Is 11816447 a prime number? Output: True Inquiry: Is 2929259 a prime number? Output: True Inquiry: Is 23896217 a prime number? Output: True Inquiry: Is 4964239039 prime? Output: True Inquiry: Is 1657 a prime number? Output: True Inquiry: Is 72831656399 prime? Output: True Inquiry: Is 2350753 prime? Output: True Inquiry: Is 30907 a composite number? Output: True Inquiry: Is 415343 composite? Output: False Inquiry: Is 5723 a composite number? Output: True Inquiry: Is 971093 a composite number? Output: False Inquiry: Is 212130159 a prime number? Output:
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arithmetic: nearest integer root -------------------------------- Statement: What is 282285 to the power of 1/7, to the nearest integer? →: 6 Statement: What is the cube root of 1586398150 to the nearest integer? →: 1166 Statement: What is 158646274 to the power of 1/4, to the nearest integer? →: 112 Statement: What is 137877510 to the power of 1/7, to the nearest integer? →: 15 Statement: What is the ninth root of 4848014 to the nearest integer? →: 6 Statement: What is the tenth root of 91229 to the nearest integer? →: 3 Statement: What is 3497835 to the power of 1/7, to the nearest integer? →: 9 Statement: What is the ninth root of 21292613 to the nearest integer? →: 7 Statement: What is 6164540 to the power of 1/2, to the nearest integer? →: 2483 Statement: What is the ninth root of 1403292 to the nearest integer? →: 5 Statement: What is 4544203 to the power of 1/10, to the nearest integer? →: 5 Statement: What is 1773038280 to the power of 1/4, to the nearest integer? →: 205 Statement: What is the third root of 2126493 to the nearest integer? →: 129 Statement: What is the third root of 2759 to the nearest integer? →: 14 Statement: What is 161801510 to the power of 1/2, to the nearest integer? →: 12720 Statement: What is 765 to the power of 1/3, to the nearest integer? →: 9 Statement: What is 2529010555 to the power of 1/3, to the nearest integer? →: 1362 Statement: What is 788354 to the power of 1/10, to the nearest integer? →: 4 Statement: What is 2566980 to the power of 1/3, to the nearest integer? →: 137 Statement: What is the square root of 83971 to the nearest integer? →: 290 Statement: What is the cube root of 139446 to the nearest integer? →: 52 Statement: What is the fifth root of 915500 to the nearest integer? →: 16 Statement: What is the third root of 245717 to the nearest integer? →: 63 Statement: What is the square root of 101712 to the nearest integer? →: 319 Statement: What is 1845869334 to the power of 1/2, to the nearest integer? →: 42964 Stateme
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measurement: time ----------------- Qn: How many minutes are there between 2:41 AM and 9:42 AM? Therefore: 421 Qn: What is 444 minutes before 12:10 AM? Therefore: 4:46 PM Qn: How many minutes are there between 7:11 AM and 11:36 AM? Therefore: 265 Qn: How many minutes are there between 6:27 PM and 9:42 PM? Therefore: 195 Qn: How many minutes are there between 8:11 AM and 3:54 PM? Therefore: 463 Qn: What is 67 minutes after 1:10 PM? Therefore: 2:17 PM Qn: How many minutes are there between 1:31 PM and 11:22 PM? Therefore: 591 Qn: How many minutes are there between 7:08 AM and 11:05 AM? Therefore: 237 Qn: How many minutes are there between 7:05 AM and 3:32 PM? Therefore: 507 Qn: What is 419 minutes after 7:45 PM? Therefore: 2:44 AM Qn: How many minutes are there between 8:00 PM and 4:37 AM? Therefore: 517 Qn: What is 400 minutes before 9:56 PM? Therefore: 3:16 PM Qn: How many minutes are there between 10:41 PM and 1:19 AM? Therefore: 158 Qn: How many minutes are there between 4:26 PM and 12:36 AM? Therefore: 490 Qn: How many minutes are there between 5:46 AM and 10:00 AM? Therefore: 254 Qn: What is 402 minutes before 2:40 AM? Therefore: 7:58 PM Qn: How many minutes are there between 3:57 PM and 3:26 AM? Therefore: 689 Qn: How many minutes are there between 5:37 PM and 4:38 AM? Therefore: 661 Qn: What is 250 minutes after 10:29 AM? Therefore: 2:39 PM Qn: What is 557 minutes before 9:37 PM? Therefore: 12:20 PM Qn: What is 391 minutes before 7:05 AM? Therefore: 12:34 AM Qn: What is 126 minutes after 1:20 PM? Therefore: 3:26 PM Qn: How many minutes are there between 1:36 PM and 9:37 PM? Therefore: 481 Qn: What is 664 minutes before 4:53 PM? Therefore: 5:49 AM Qn: What is 419 minutes before 2:24 AM? Therefore: 7:25 PM Qn: How many minutes are there between 6:30 PM and 11:52 PM? Therefore: 322 Qn: How many minutes are there between 4:40 PM and 3:43 AM? Therefore: 663 Qn: What is 456 minutes before 11:36 AM? Therefore: 4:00 AM Qn: What is 49 minutes after 4:56 AM? Therefore:
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numbers: place value -------------------- Q.: What is the thousands digit of 517831? Thus: 7 Q.: What is the units digit of 10614? Thus: 4 Q.: What is the units digit of 19624? Thus: 4 Q.: What is the thousands digit of 5177? Thus: 5 Q.: What is the hundred thousands digit of 179823? Thus: 1 Q.: What is the units digit of 416870163? Thus: 3 Q.: What is the thousands digit of 13739? Thus: 3 Q.: What is the tens digit of 161901654? Thus: 5 Q.: What is the hundred millions digit of 154806098? Thus: 1 Q.: What is the millions digit of 5642259? Thus: 5 Q.: What is the ten thousands digit of 45306? Thus: 4 Q.: What is the millions digit of 429919445? Thus: 9 Q.: What is the hundreds digit of 18233797? Thus: 7 Q.: What is the hundreds digit of 28458? Thus: 4 Q.: What is the millions digit of 90122566? Thus: 0 Q.: What is the ten thousands digit of 14527254? Thus: 2 Q.: What is the ten millions digit of 35364797? Thus: 3 Q.: What is the units digit of 2896? Thus: 6 Q.: What is the thousands digit of 19648627? Thus: 8 Q.: What is the thousands digit of 55056? Thus: 5 Q.: What is the tens digit of 69758? Thus: 5 Q.: What is the thousands digit of 7150? Thus: 7 Q.: What is the hundreds digit of 648? Thus: 6 Q.: What is the hundred thousands digit of 183277412? Thus: 2 Q.: What is the hundred thousands digit of 41020879? Thus: 0 Q.: What is the hundred thousands digit of 123398876? Thus: 3 Q.: What is the tens digit of 142577? Thus: 7 Q.: What is the tens digit of 21418? Thus: 1 Q.: What is the tens digit of 10385? Thus: 8 Q.: What is the hundreds digit of 182563? Thus: 5 Q.: What is the units digit of 34841? Thus: 1 Q.: What is the units digit of 507210? Thus: 0 Q.: What is the ten thousands digit of 5754748370? Thus: 4 Q.: What is the thousands digit of 2004? Thus: 2 Q.: What is the ten thousands digit of 59035? Thus: 5 Q.: What is the hundreds digit of 9270650? Thus: 6 Q.: What is the thousands digit of 24880? Thus: 4 Q.: What is the hundred millions digit of 238527138? Thus
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measurement: time ----------------- Item: What is 176 minutes after 1:46 AM? Workthrough: 4:42 AM Item: How many minutes are there between 4:45 AM and 4:39 PM? Workthrough: 714 Item: What is 662 minutes before 1:30 AM? Workthrough: 2:28 PM Item: What is 526 minutes before 5:57 PM? Workthrough: 9:11 AM Item: How many minutes are there between 10:13 AM and 9:50 PM? Workthrough: 697 Item: How many minutes are there between 10:13 AM and 2:38 PM? Workthrough: 265 Item: What is 130 minutes before 2:21 PM? Workthrough: 12:11 PM Item: What is 44 minutes before 12:48 AM? Workthrough: 12:04 AM Item: How many minutes are there between 11:47 AM and 5:15 PM? Workthrough: 328 Item: What is 404 minutes after 5:22 AM? Workthrough: 12:06 PM Item: What is 688 minutes after 8:36 AM? Workthrough: 8:04 PM Item: What is 50 minutes before 5:40 PM? Workthrough: 4:50 PM Item: How many minutes are there between 4:26 AM and 7:22 AM? Workthrough: 176 Item: How many minutes are there between 1:02 PM and 10:21 PM? Workthrough: 559 Item: How many minutes are there between 8:20 PM and 10:10 PM? Workthrough: 110 Item: What is 581 minutes after 2:14 PM? Workthrough: 11:55 PM Item: How many minutes are there between 2:29 PM and 9:10 PM? Workthrough: 401 Item: How many minutes are there between 1:23 PM and 12:28 AM? Workthrough: 665 Item: How many minutes are there between 12:03 AM and 9:45 AM? Workthrough: 582 Item: What is 160 minutes before 7:22 AM? Workthrough: 4:42 AM Item: What is 332 minutes before 3:09 AM? Workthrough: 9:37 PM Item: How many minutes are there between 5:57 AM and 8:12 AM? Workthrough: 135 Item: How many minutes are there between 12:50 PM and 11:57 PM? Workthrough: 667 Item: How many minutes are there between 1:49 AM and 10:44 AM? Workthrough: 535 Item: How many minutes are there between 2:07 AM and 8:02 AM? Workthrough: 355 Item: What is 293 minutes after 4:44 AM? Workthrough: 9:37 AM Item: What is 532 minutes after 9:11 AM? Workthrough: 6:03 PM Item: How many minutes are there
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numbers: place value -------------------- Task: What is the units digit of 6853396? Solution: 6 Task: What is the ten millions digit of 4134446953? Solution: 3 Task: What is the ten thousands digit of 132458? Solution: 3 Task: What is the thousands digit of 5711711? Solution: 1 Task: What is the hundreds digit of 57376? Solution: 3 Task: What is the units digit of 4204? Solution: 4 Task: What is the hundred thousands digit of 74699324? Solution: 6 Task: What is the tens digit of 4255528535? Solution: 3 Task: What is the hundreds digit of 1447? Solution: 4 Task: What is the tens digit of 3204? Solution: 0 Task: What is the hundreds digit of 33723328? Solution: 3 Task: What is the tens digit of 13824? Solution: 2 Task: What is the thousands digit of 2075343721? Solution: 3 Task: What is the tens digit of 15740642? Solution: 4 Task: What is the ten thousands digit of 80693583? Solution: 9 Task: What is the hundreds digit of 228? Solution: 2 Task: What is the hundred millions digit of 1414851039? Solution: 4 Task: What is the tens digit of 4290? Solution: 9 Task: What is the hundreds digit of 5046687? Solution: 6 Task: What is the units digit of 4392? Solution: 2 Task: What is the units digit of 141162? Solution: 2 Task: What is the hundreds digit of 1038? Solution: 0 Task: What is the units digit of 1717612? Solution: 2 Task: What is the units digit of 875012903? Solution: 3 Task: What is the ten thousands digit of 2661533? Solution: 6 Task: What is the thousands digit of 622696233? Solution: 6 Task: What is the ten thousands digit of 357377757? Solution: 7 Task: What is the hundreds digit of 108729506? Solution: 5 Task: What is the units digit of 1114163? Solution: 3 Task: What is the hundred thousands digit of 113184? Solution: 1 Task: What is the ten thousands digit of 124429184? Solution: 2 Task: What is the thousands digit of 507503381? Solution: 3 Task: What is the ten thousands digit of 4562662? Solution: 6 Task: What is the ten thousands digit of 22252210? Solu
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probability: swr p sequence --------------------------- Math Problem: Two letters picked without replacement from {x: 3}. Give prob of sequence xx. Workthrough: 1 Math Problem: Calculate prob of sequence lt when two letters picked without replacement from {t: 1, l: 12}. Workthrough: 1/13 Math Problem: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, v: 4, r: 1}. Workthrough: 1/21 Math Problem: What is prob of sequence gn when two letters picked without replacement from {g: 4, y: 4, c: 1, n: 2}? Workthrough: 4/55 Math Problem: Two letters picked without replacement from {v: 8, a: 3}. What is prob of sequence va? Workthrough: 12/55 Math Problem: Calculate prob of sequence kwip when four letters picked without replacement from {h: 1, k: 4, u: 3, w: 1, i: 1, p: 6}. Workthrough: 1/1820 Math Problem: Calculate prob of sequence zxz when three letters picked without replacement from pjzinxzi. Workthrough: 1/168 Math Problem: Calculate prob of sequence uuu when three letters picked without replacement from uuuu. Workthrough: 1 Math Problem: Calculate prob of sequence jf when two letters picked without replacement from {f: 5, r: 1, j: 7}. Workthrough: 35/156 Math Problem: What is prob of sequence dpi when three letters picked without replacement from {i: 7, d: 11, p: 1}? Workthrough: 77/5814 Math Problem: Two letters picked without replacement from {x: 5, j: 2, z: 4, t: 4}. Give prob of sequence xj. Workthrough: 1/21 Math Problem: What is prob of sequence pf when two letters picked without replacement from fpssc? Workthrough: 1/20 Math Problem: Three letters picked without replacement from ilrlrqiqiimki. Give prob of sequence rik. Workthrough: 5/858 Math Problem: Two letters picked without replacement from nqrqxqe. What is prob of sequence ne? Workthrough: 1/42 Math Problem: Four letters picked without replacement from ttnttn. What is prob of sequence nttt? Workthrough: 2/15 Math Problem: Four letters picked without replacement from bbbyba
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measurement: conversion ----------------------- Prompt: How many centuries are there in 959254.3 years? Therefore: 9592.543 Prompt: Convert 301851.9 decades to months. Therefore: 36222228 Prompt: Convert 600.8957 millennia to months. Therefore: 7210748.4 Prompt: How many nanometers are there in 430328.7 centimeters? Therefore: 4303287000000 Prompt: What is 8.11011 meters in nanometers? Therefore: 8110110000 Prompt: What is 21/2 of a litre in millilitres? Therefore: 10500 Prompt: What is one quarter of a year in months? Therefore: 3 Prompt: How many micrometers are there in one tenth of a centimeter? Therefore: 1000 Prompt: Convert 35118.81 centuries to decades. Therefore: 351188.1 Prompt: How many micrometers are there in 0.0947666 centimeters? Therefore: 947.666 Prompt: How many millilitres are there in 1/5 of a litre? Therefore: 200 Prompt: How many centuries are there in 0.6293186 decades? Therefore: 0.06293186 Prompt: How many nanoseconds are there in twenty-seven fifths of a microsecond? Therefore: 5400 Prompt: Convert 5786.444mg to kilograms. Therefore: 0.005786444 Prompt: How many centimeters are there in 2762.697 meters? Therefore: 276269.7 Prompt: Convert 0.0003813 millilitres to litres. Therefore: 0.0000003813 Prompt: How many millilitres are there in 1/4 of a litre? Therefore: 250 Prompt: What is 13/5 of a century in years? Therefore: 260 Prompt: How many millilitres are there in one quarter of a litre? Therefore: 250 Prompt: How many micrograms are there in 7.27173 kilograms? Therefore: 7271730000 Prompt: Convert 1759.960251 microseconds to weeks. Therefore: 0.0000000029099871875 Prompt: Convert 73.9617 millennia to months. Therefore: 887540.4 Prompt: How many millilitres are there in 0.6478319 litres? Therefore: 647.8319 Prompt: How many millilitres are there in 3/25 of a litre? Therefore: 120 Prompt: How many millilitres are there in 1/4 of a litre? Therefore: 250 Prompt: What is one tenth of a week in minutes? Therefore: 1008 Prompt: What is fifty-one
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probability: swr p level set ---------------------------- Q/A: Calculate prob of picking 3 l when three letters picked without replacement from xlfflflxmlf. Sol: 4/165 Q/A: Three letters picked without replacement from tttttt. What is prob of picking 3 t? Sol: 1 Q/A: Four letters picked without replacement from {y: 2, q: 3, t: 5}. Give prob of picking 1 q and 3 t. Sol: 1/7 Q/A: What is prob of picking 2 c when two letters picked without replacement from cuxuxcxcc? Sol: 1/6 Q/A: Two letters picked without replacement from {s: 1, d: 1, o: 5, q: 1, c: 1, i: 5}. What is prob of picking 1 q and 1 o? Sol: 5/91 Q/A: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {y: 1, j: 1, a: 3, k: 1, n: 1}. Sol: 1/21 Q/A: Two letters picked without replacement from mkmmqpqm. Give prob of picking 1 k and 1 q. Sol: 1/14 Q/A: Calculate prob of picking 4 r when four letters picked without replacement from {r: 15, k: 4}. Sol: 455/1292 Q/A: Three letters picked without replacement from {r: 2, u: 8}. Give prob of picking 2 u and 1 r. Sol: 7/15 Q/A: Two letters picked without replacement from {z: 4, u: 1, h: 4, k: 2}. What is prob of picking 1 k and 1 u? Sol: 2/55 Q/A: Two letters picked without replacement from {z: 1, g: 1, h: 1, s: 1, u: 3}. Give prob of picking 1 u and 1 h. Sol: 1/7 Q/A: What is prob of picking 2 r when two letters picked without replacement from uyrurgb? Sol: 1/21 Q/A: Four letters picked without replacement from {b: 2, z: 2, l: 2, p: 1, m: 1}. What is prob of picking 1 p, 1 l, and 2 z? Sol: 1/35 Q/A: What is prob of picking 1 h and 1 k when two letters picked without replacement from {k: 1, h: 14}? Sol: 2/15 Q/A: What is prob of picking 2 w when two letters picked without replacement from wwwwwwwda? Sol: 7/12 Q/A: Two letters picked without replacement from {j: 2, p: 2, t: 1, g: 7}. What is prob of picking 1 j and 1 g? Sol: 7/33 Q/A: Three letters picked without replacement from {z: 3, a: 4, p: 4, l: 2, d: 3}. What is prob of picking
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numbers: is prime ----------------- Challenge: Is 376701361 prime? Ans: False Challenge: Is 24566639747 composite? Ans: True Challenge: Is 7241 a prime number? Ans: False Challenge: Is 12655 a composite number? Ans: True Challenge: Is 1108550791 prime? Ans: False Challenge: Is 34739 composite? Ans: False Challenge: Is 1842687529 composite? Ans: True Challenge: Is 1893757 prime? Ans: True Challenge: Is 40500955769 a prime number? Ans: False Challenge: Is 1026119 prime? Ans: True Challenge: Is 4812253 a prime number? Ans: False Challenge: Is 17745127 a composite number? Ans: True Challenge: Is 5839283 prime? Ans: True Challenge: Is 5730617 prime? Ans: True Challenge: Is 54417046109 a prime number? Ans: True Challenge: Is 3847 a composite number? Ans: False Challenge: Is 81899 prime? Ans: True Challenge: Is 543967 a prime number? Ans: True Challenge: Is 1591853195 a composite number? Ans: True Challenge: Is 98292381529 a composite number? Ans: True Challenge: Is 16173019 composite? Ans: True Challenge: Is 10519 a composite number? Ans: True Challenge: Is 12301 a prime number? Ans: True Challenge: Is 6133811689 composite? Ans: True Challenge: Is 1109 prime? Ans: True Challenge: Is 75173419 prime? Ans: False Challenge: Is 1871100269 a prime number? Ans: True Challenge: Is 1471427549 composite? Ans: True Challenge: Is 10628364391 composite? Ans: False Challenge: Is 1578351 composite? Ans: True Challenge: Is 92026261 a prime number? Ans: True Challenge: Is 28007 composite? Ans: True Challenge: Is 8408600309 prime? Ans: False Challenge: Is 153526397 a prime number? Ans: False Challenge: Is 195634843 a composite number? Ans: False Challenge: Is 1087 prime? Ans: True Challenge: Is 10132249079 a prime number? Ans: True Challenge: Is 8673118931 composite? Ans: False Challenge: Is 15339357841 prime? Ans: True Challenge: Is 564557 composite? Ans: True Challenge: Is 51546857 composite? Ans: True Challenge: Is 1005391 a composite number? Ans: False Challenge: Is 282959 a composite
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numbers: place value -------------------- Given: What is the thousands digit of 6950949? Soln: 0 Given: What is the thousands digit of 36974? Soln: 6 Given: What is the thousands digit of 1959? Soln: 1 Given: What is the millions digit of 22025481? Soln: 2 Given: What is the hundreds digit of 3324164997? Soln: 9 Given: What is the tens digit of 2125? Soln: 2 Given: What is the thousands digit of 82733? Soln: 2 Given: What is the hundred millions digit of 1553583170? Soln: 5 Given: What is the ten thousands digit of 31998? Soln: 3 Given: What is the hundred thousands digit of 101537? Soln: 1 Given: What is the hundred thousands digit of 1940277? Soln: 9 Given: What is the units digit of 2211? Soln: 1 Given: What is the thousands digit of 99586382? Soln: 6 Given: What is the thousands digit of 19351822? Soln: 1 Given: What is the millions digit of 1024073? Soln: 1 Given: What is the ten millions digit of 73707929? Soln: 7 Given: What is the ten thousands digit of 679234? Soln: 7 Given: What is the units digit of 73? Soln: 3 Given: What is the tens digit of 1387180509? Soln: 0 Given: What is the hundred thousands digit of 34614264? Soln: 6 Given: What is the thousands digit of 55616? Soln: 5 Given: What is the thousands digit of 626051? Soln: 6 Given: What is the thousands digit of 595553428? Soln: 3 Given: What is the units digit of 271? Soln: 1 Given: What is the units digit of 469928? Soln: 8 Given: What is the hundreds digit of 1053? Soln: 0 Given: What is the units digit of 1250669531? Soln: 1 Given: What is the thousands digit of 109963? Soln: 9 Given: What is the millions digit of 4822003? Soln: 4 Given: What is the ten thousands digit of 253722629? Soln: 2 Given: What is the hundred thousands digit of 283505? Soln: 2 Given: What is the thousands digit of 112918277? Soln: 8 Given: What is the millions digit of 1663869? Soln: 1 Given: What is the tens digit of 1873? Soln: 7 Given: What is the millions digit of 2484928633? Soln: 4 Given: What is the tens digit of
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numbers: div remainder ---------------------- Q-: What is the remainder when 1414842 is divided by 34503? A.: 219 Q-: Calculate the remainder when 63988777 is divided by 5457. A.: 5452 Q-: What is the remainder when 686575072 is divided by 398? A.: 396 Q-: What is the remainder when 504336 is divided by 835? A.: 831 Q-: What is the remainder when 2512 is divided by 1249? A.: 14 Q-: Calculate the remainder when 3456 is divided by 228. A.: 36 Q-: What is the remainder when 21080 is divided by 780? A.: 20 Q-: What is the remainder when 179416 is divided by 17? A.: 15 Q-: What is the remainder when 75 is divided by 49? A.: 26 Q-: What is the remainder when 592127 is divided by 3013? A.: 1579 Q-: Calculate the remainder when 1076 is divided by 27. A.: 23 Q-: What is the remainder when 142 is divided by 103? A.: 39 Q-: Calculate the remainder when 1874 is divided by 309. A.: 20 Q-: Calculate the remainder when 634 is divided by 29. A.: 25 Q-: Calculate the remainder when 736666 is divided by 953. A.: 950 Q-: What is the remainder when 98656 is divided by 87? A.: 85 Q-: What is the remainder when 10088 is divided by 348? A.: 344 Q-: What is the remainder when 2265 is divided by 12? A.: 9 Q-: Calculate the remainder when 156 is divided by 10. A.: 6 Q-: What is the remainder when 1736 is divided by 108? A.: 8 Q-: What is the remainder when 104568 is divided by 512? A.: 120 Q-: Calculate the remainder when 218 is divided by 66. A.: 20 Q-: Calculate the remainder when 9313 is divided by 88. A.: 73 Q-: What is the remainder when 1496 is divided by 52? A.: 40 Q-: What is the remainder when 625606 is divided by 12492? A.: 1006 Q-: Calculate the remainder when 2506 is divided by 13. A.: 10 Q-: Calculate the remainder when 1571400 is divided by 32. A.: 8 Q-: Calculate the remainder when 22022148 is divided by 2002011. A.: 27 Q-: What is the remainder when 584 is divided by 84? A.: 80 Q-: Calculate the remainder when 41880174 is divided by 101. A.: 19 Q-: Calculate the remainder whe
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arithmetic: nearest integer root -------------------------------- Prompt: What is the square root of 303164 to the nearest integer? Math A: 551 Prompt: What is 49196943 to the power of 1/6, to the nearest integer? Math A: 19 Prompt: What is 37879251 to the power of 1/9, to the nearest integer? Math A: 7 Prompt: What is the tenth root of 66199 to the nearest integer? Math A: 3 Prompt: What is 1198 to the power of 1/8, to the nearest integer? Math A: 2 Prompt: What is 92015 to the power of 1/3, to the nearest integer? Math A: 45 Prompt: What is 91665 to the power of 1/3, to the nearest integer? Math A: 45 Prompt: What is 1029881337 to the power of 1/7, to the nearest integer? Math A: 19 Prompt: What is 68794 to the power of 1/3, to the nearest integer? Math A: 41 Prompt: What is 4197935 to the power of 1/3, to the nearest integer? Math A: 161 Prompt: What is the third root of 2051950488 to the nearest integer? Math A: 1271 Prompt: What is the square root of 53271 to the nearest integer? Math A: 231 Prompt: What is 770440 to the power of 1/4, to the nearest integer? Math A: 30 Prompt: What is the eighth root of 2519883 to the nearest integer? Math A: 6 Prompt: What is the square root of 1189019 to the nearest integer? Math A: 1090 Prompt: What is the seventh root of 815 to the nearest integer? Math A: 3 Prompt: What is 2367876975 to the power of 1/6, to the nearest integer? Math A: 37 Prompt: What is the cube root of 192852499 to the nearest integer? Math A: 578 Prompt: What is the cube root of 2995348 to the nearest integer? Math A: 144 Prompt: What is 28505 to the power of 1/4, to the nearest integer? Math A: 13 Prompt: What is 1314434987 to the power of 1/8, to the nearest integer? Math A: 14 Prompt: What is the cube root of 20825 to the nearest integer? Math A: 28 Prompt: What is the third root of 30890 to the nearest integer? Math A: 31 Prompt: What is the sixth root of 16237433 to the nearest integer? Math A: 16 Prompt: What is 79802 to the power of 1/3, to the n
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arithmetic: nearest integer root -------------------------------- Prompt: What is 627753 to the power of 1/2, to the nearest integer? Response: 792 Prompt: What is the third root of 2286421 to the nearest integer? Response: 132 Prompt: What is the square root of 7463 to the nearest integer? Response: 86 Prompt: What is 22648337 to the power of 1/8, to the nearest integer? Response: 8 Prompt: What is 769651373 to the power of 1/3, to the nearest integer? Response: 916 Prompt: What is 8603727751 to the power of 1/3, to the nearest integer? Response: 2049 Prompt: What is 6957785 to the power of 1/4, to the nearest integer? Response: 51 Prompt: What is 4660457496 to the power of 1/3, to the nearest integer? Response: 1670 Prompt: What is the third root of 47033770 to the nearest integer? Response: 361 Prompt: What is 130238207 to the power of 1/3, to the nearest integer? Response: 507 Prompt: What is the third root of 96774445 to the nearest integer? Response: 459 Prompt: What is the square root of 320060223 to the nearest integer? Response: 17890 Prompt: What is 597661381 to the power of 1/2, to the nearest integer? Response: 24447 Prompt: What is 10449 to the power of 1/3, to the nearest integer? Response: 22 Prompt: What is 1501 to the power of 1/2, to the nearest integer? Response: 39 Prompt: What is the third root of 29837920 to the nearest integer? Response: 310 Prompt: What is 1906955 to the power of 1/2, to the nearest integer? Response: 1381 Prompt: What is the cube root of 1109487031 to the nearest integer? Response: 1035 Prompt: What is 2726239 to the power of 1/9, to the nearest integer? Response: 5 Prompt: What is 790 to the power of 1/2, to the nearest integer? Response: 28 Prompt: What is 806104936 to the power of 1/3, to the nearest integer? Response: 931 Prompt: What is 189878651 to the power of 1/2, to the nearest integer? Response: 13780 Prompt: What is the cube root of 264950 to the nearest integer? Response: 64 Prompt: What is 146684899 to the power
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numbers: is factor ------------------ Problem #: Is 441560 a multiple of 95? Response: True Problem #: Does 177 divide 128184993? Response: True Problem #: Does 5 divide 12049? Response: False Problem #: Is 65 a factor of 4720? Response: False Problem #: Is 272 a factor of 558960? Response: True Problem #: Does 28 divide 71877193? Response: False Problem #: Is 16 a factor of 7342256? Response: True Problem #: Is 664 a factor of 97496? Response: False Problem #: Does 5 divide 1502497? Response: False Problem #: Is 43 a factor of 11782? Response: True Problem #: Is 9 a factor of 21? Response: False Problem #: Is 23 a factor of 115? Response: True Problem #: Does 35 divide 30975? Response: True Problem #: Is 349774 a multiple of 131? Response: False Problem #: Does 10 divide 500? Response: True Problem #: Is 4 a factor of 7073096? Response: True Problem #: Does 39 divide 2886? Response: True Problem #: Is 299 a factor of 7173181? Response: False Problem #: Is 108 a multiple of 16? Response: False Problem #: Is 11664 a multiple of 9? Response: True Problem #: Does 500 divide 616704770? Response: False Problem #: Is 35 a factor of 105420? Response: True Problem #: Is 185 a factor of 13297? Response: False Problem #: Is 42690846 a multiple of 6? Response: True Problem #: Is 9 a factor of 1393? Response: False Problem #: Is 24 a factor of 58439484? Response: False Problem #: Is 978 a factor of 1570668? Response: True Problem #: Is 76 a factor of 12694? Response: False Problem #: Is 2615 a factor of 238514138? Response: False Problem #: Is 4737 a multiple of 50? Response: False Problem #: Is 125 a factor of 3985875? Response: True Problem #: Does 851 divide 21761772? Response: True Problem #: Is 10976346 a multiple of 666? Response: True Problem #: Is 86 a factor of 1642944? Response: True Problem #: Does 8 divide 32? Response: True Problem #: Does 39 divide 8502? Response: True Problem #: Is 196 a factor of 1302473412? Response: False Problem #: Is 46 a factor of 11454? Re
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probability: swr p level set ---------------------------- Let: What is prob of picking 1 f and 1 p when two letters picked without replacement from {n: 6, f: 3, p: 2, r: 1}? Eval: 1/11 Let: Two letters picked without replacement from {c: 3, p: 3, h: 5, v: 2}. What is prob of picking 1 p and 1 v? Eval: 1/13 Let: What is prob of picking 1 a and 1 u when two letters picked without replacement from uuhhhauhch? Eval: 1/15 Let: Four letters picked without replacement from {d: 5, l: 6, b: 4}. Give prob of picking 4 l. Eval: 1/91 Let: What is prob of picking 2 g and 2 o when four letters picked without replacement from pyogykkykykkgogykky? Eval: 1/1292 Let: What is prob of picking 2 b when two letters picked without replacement from {b: 3, k: 8}? Eval: 3/55 Let: Two letters picked without replacement from mmmfmmfmfmmfmmmmmmf. Give prob of picking 1 f and 1 m. Eval: 70/171 Let: Four letters picked without replacement from aiaaiaaaia. Give prob of picking 1 i and 3 a. Eval: 1/2 Let: Calculate prob of picking 1 o, 1 z, and 1 a when three letters picked without replacement from {a: 1, f: 1, x: 1, v: 1, z: 2, o: 1}. Eval: 2/35 Let: What is prob of picking 1 x and 2 k when three letters picked without replacement from acslklkalxkkclk? Eval: 2/91 Let: What is prob of picking 1 k, 1 f, and 1 j when three letters picked without replacement from firrrrjkfkikff? Eval: 3/91 Let: Three letters picked without replacement from tbtwdrddttr. Give prob of picking 1 b, 1 r, and 1 t. Eval: 8/165 Let: Two letters picked without replacement from oooooo. What is prob of picking 2 o? Eval: 1 Let: What is prob of picking 3 m when three letters picked without replacement from exfffffolfmlmxm? Eval: 1/455 Let: Two letters picked without replacement from {s: 3, z: 1, n: 5}. What is prob of picking 1 z and 1 n? Eval: 5/36 Let: Two letters picked without replacement from aoppapnpo. Give prob of picking 1 o and 1 p. Eval: 2/9 Let: What is prob of picking 1 d, 2 x, and 1 p when four letters picked without
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arithmetic: nearest integer root -------------------------------- Qn: What is the third root of 38671275 to the nearest integer? Gives: 338 Qn: What is 566 to the power of 1/2, to the nearest integer? Gives: 24 Qn: What is the fourth root of 1037960 to the nearest integer? Gives: 32 Qn: What is the tenth root of 5520869 to the nearest integer? Gives: 5 Qn: What is the third root of 1415412250 to the nearest integer? Gives: 1123 Qn: What is 75009104 to the power of 1/10, to the nearest integer? Gives: 6 Qn: What is the cube root of 8193015 to the nearest integer? Gives: 202 Qn: What is the fourth root of 2349270 to the nearest integer? Gives: 39 Qn: What is 65590 to the power of 1/7, to the nearest integer? Gives: 5 Qn: What is 1689 to the power of 1/2, to the nearest integer? Gives: 41 Qn: What is the third root of 416760 to the nearest integer? Gives: 75 Qn: What is 77611 to the power of 1/2, to the nearest integer? Gives: 279 Qn: What is the third root of 248029579 to the nearest integer? Gives: 628 Qn: What is the eighth root of 49889266 to the nearest integer? Gives: 9 Qn: What is 386203259 to the power of 1/2, to the nearest integer? Gives: 19652 Qn: What is 11235 to the power of 1/4, to the nearest integer? Gives: 10 Qn: What is 617992568 to the power of 1/7, to the nearest integer? Gives: 18 Qn: What is 136094109 to the power of 1/2, to the nearest integer? Gives: 11666 Qn: What is the fourth root of 41435425 to the nearest integer? Gives: 80 Qn: What is the square root of 1984 to the nearest integer? Gives: 45 Qn: What is the square root of 19120 to the nearest integer? Gives: 138 Qn: What is 197098 to the power of 1/8, to the nearest integer? Gives: 5 Qn: What is the square root of 6254484471 to the nearest integer? Gives: 79085 Qn: What is the third root of 98759 to the nearest integer? Gives: 46 Qn: What is 152401518 to the power of 1/9, to the nearest integer? Gives: 8 Qn: What is the third root of 851738686 to the nearest integer? Gives: 948 Qn: What is
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numbers: place value -------------------- Qn: What is the millions digit of 481211928? Calculation: 1 Qn: What is the thousands digit of 204304? Calculation: 4 Qn: What is the hundreds digit of 1090? Calculation: 0 Qn: What is the hundred thousands digit of 385254? Calculation: 3 Qn: What is the tens digit of 4749086? Calculation: 8 Qn: What is the thousands digit of 196154424? Calculation: 4 Qn: What is the ten thousands digit of 129448? Calculation: 2 Qn: What is the ten thousands digit of 1141713515? Calculation: 1 Qn: What is the hundred thousands digit of 7865568? Calculation: 8 Qn: What is the units digit of 2911? Calculation: 1 Qn: What is the hundreds digit of 3821? Calculation: 8 Qn: What is the hundred thousands digit of 131817? Calculation: 1 Qn: What is the tens digit of 1673? Calculation: 7 Qn: What is the ten thousands digit of 336593843? Calculation: 9 Qn: What is the thousands digit of 5285? Calculation: 5 Qn: What is the hundreds digit of 3118613100? Calculation: 1 Qn: What is the thousands digit of 392784? Calculation: 2 Qn: What is the thousands digit of 17780? Calculation: 7 Qn: What is the ten thousands digit of 16290982? Calculation: 9 Qn: What is the thousands digit of 5571? Calculation: 5 Qn: What is the thousands digit of 45286056? Calculation: 6 Qn: What is the thousands digit of 1599? Calculation: 1 Qn: What is the units digit of 871648? Calculation: 8 Qn: What is the ten thousands digit of 157555? Calculation: 5 Qn: What is the ten millions digit of 124950299? Calculation: 2 Qn: What is the units digit of 3359? Calculation: 9 Qn: What is the ten millions digit of 110143219? Calculation: 1 Qn: What is the hundred thousands digit of 133522? Calculation: 1 Qn: What is the millions digit of 28388145? Calculation: 8 Qn: What is the thousands digit of 30685? Calculation: 0 Qn: What is the thousands digit of 59281668? Calculation: 1 Qn: What is the thousands digit of 411230? Calculation: 1 Qn: What is the thousands digit of 330234? Calculation:
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numbers: gcd ------------ Case: What is the highest common divisor of 6026 and 14412858? Solution: 46 Case: Calculate the greatest common factor of 123598 and 174. Solution: 58 Case: What is the highest common factor of 30647 and 1843? Solution: 19 Case: Calculate the greatest common factor of 11061 and 938956. Solution: 1229 Case: What is the highest common divisor of 50595 and 120? Solution: 15 Case: Calculate the highest common factor of 62 and 893823806. Solution: 62 Case: Calculate the highest common factor of 22187916 and 348. Solution: 12 Case: What is the highest common divisor of 76 and 12521? Solution: 19 Case: Calculate the greatest common factor of 110 and 390. Solution: 10 Case: Calculate the highest common factor of 144 and 1125. Solution: 9 Case: What is the highest common factor of 126 and 1785954? Solution: 6 Case: Calculate the greatest common factor of 120769 and 22. Solution: 11 Case: What is the greatest common factor of 27470 and 545? Solution: 5 Case: Calculate the highest common factor of 18 and 2032512. Solution: 6 Case: What is the highest common factor of 133 and 1444? Solution: 19 Case: Calculate the greatest common divisor of 539 and 17677583. Solution: 539 Case: What is the greatest common divisor of 110 and 935? Solution: 55 Case: Calculate the highest common factor of 5244 and 2. Solution: 2 Case: What is the highest common factor of 450 and 50? Solution: 50 Case: What is the highest common factor of 22022 and 910? Solution: 182 Case: Calculate the highest common factor of 10 and 230. Solution: 10 Case: Calculate the greatest common factor of 23 and 22254823. Solution: 23 Case: Calculate the highest common divisor of 80 and 4625. Solution: 5 Case: What is the greatest common factor of 2016 and 7? Solution: 7 Case: What is the highest common factor of 387 and 2519241? Solution: 129 Case: Calculate the greatest common divisor of 659970 and 153. Solution: 9 Case: Calculate the greatest common factor of 50917 and 3452. Solution: 863 Case:
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measurement: time ----------------- Puzzle: What is 266 minutes before 5:26 PM? Ans: 1:00 PM Puzzle: How many minutes are there between 3:26 PM and 6:32 PM? Ans: 186 Puzzle: What is 354 minutes before 8:58 AM? Ans: 3:04 AM Puzzle: How many minutes are there between 4:17 PM and 12:07 AM? Ans: 470 Puzzle: What is 692 minutes after 2:57 AM? Ans: 2:29 PM Puzzle: How many minutes are there between 3:48 AM and 2:48 PM? Ans: 660 Puzzle: How many minutes are there between 10:27 AM and 7:26 PM? Ans: 539 Puzzle: What is 153 minutes before 7:16 AM? Ans: 4:43 AM Puzzle: How many minutes are there between 8:29 PM and 4:30 AM? Ans: 481 Puzzle: How many minutes are there between 7:40 PM and 3:51 AM? Ans: 491 Puzzle: How many minutes are there between 10:54 PM and 5:34 AM? Ans: 400 Puzzle: How many minutes are there between 3:14 PM and 2:36 AM? Ans: 682 Puzzle: What is 400 minutes before 7:30 PM? Ans: 12:50 PM Puzzle: How many minutes are there between 6:42 AM and 12:27 PM? Ans: 345 Puzzle: What is 360 minutes after 5:29 AM? Ans: 11:29 AM Puzzle: How many minutes are there between 8:17 PM and 12:41 AM? Ans: 264 Puzzle: What is 539 minutes after 3:21 AM? Ans: 12:20 PM Puzzle: What is 238 minutes before 10:17 PM? Ans: 6:19 PM Puzzle: What is 564 minutes after 4:52 AM? Ans: 2:16 PM Puzzle: How many minutes are there between 1:01 AM and 7:26 AM? Ans: 385 Puzzle: How many minutes are there between 8:47 AM and 3:56 PM? Ans: 429 Puzzle: How many minutes are there between 4:33 PM and 3:03 AM? Ans: 630 Puzzle: How many minutes are there between 6:25 AM and 10:31 AM? Ans: 246 Puzzle: What is 111 minutes before 3:18 AM? Ans: 1:27 AM Puzzle: What is 474 minutes after 11:56 PM? Ans: 7:50 AM Puzzle: How many minutes are there between 9:40 PM and 5:13 AM? Ans: 453 Puzzle: What is 599 minutes after 10:28 AM? Ans: 8:27 PM Puzzle: How many minutes are there between 3:34 PM and 4:43 PM? Ans: 69 Puzzle: What is 547 minutes before 3:44 AM? Ans: 6:37 PM Puzzle: How many minutes are there between 12:29 A
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measurement: conversion ----------------------- Test item: How many millilitres are there in eleven eighths of a litre? Final Answer: 1375 Test item: How many minutes are there in 11/4 of a day? Final Answer: 3960 Test item: Convert 98.32194 decades to centuries. Final Answer: 9.832194 Test item: What is one twentieth of a millimeter in nanometers? Final Answer: 50000 Test item: What is twenty-seven halves of a millisecond in microseconds? Final Answer: 13500 Test item: How many micrometers are there in sixty-one quarters of a millimeter? Final Answer: 15250 Test item: What is 13/5 of a microgram in nanograms? Final Answer: 2600 Test item: How many nanograms are there in 61/2 of a microgram? Final Answer: 30500 Test item: What is 27/4 of a meter in centimeters? Final Answer: 675 Test item: How many years are there in 4863.896 centuries? Final Answer: 486389.6 Test item: How many meters are there in 8.133859mm? Final Answer: 0.008133859 Test item: What is 88025.33l in millilitres? Final Answer: 88025330 Test item: What is one twentieth of a millimeter in nanometers? Final Answer: 50000 Test item: What is twenty-seven fifths of a litre in millilitres? Final Answer: 5400 Test item: Convert 0.4856379km to meters. Final Answer: 485.6379 Test item: What is 54/5 of a millennium in centuries? Final Answer: 108 Test item: How many hours are there in three sevenths of a week? Final Answer: 72 Test item: How many months are there in 4.146782 decades? Final Answer: 497.61384 Test item: What is twenty-one quarters of a millennium in decades? Final Answer: 525 Test item: How many millilitres are there in 27/5 of a litre? Final Answer: 5400 Test item: How many days are there in 556105.68 minutes? Final Answer: 386.1845 Test item: What is 575.4994 micrograms in grams? Final Answer: 0.0005754994 Test item: What is 54/5 of a century in decades? Final Answer: 108 Test item: How many years are there in 0.2074991 decades? Final Answer: 2.074991 Test item: How many millimeters are there
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numbers: place value -------------------- Math Problem: What is the thousands digit of 103919? Workthrough: 3 Math Problem: What is the ten thousands digit of 1031109141? Workthrough: 0 Math Problem: What is the hundreds digit of 363? Workthrough: 3 Math Problem: What is the thousands digit of 83931623? Workthrough: 1 Math Problem: What is the ten thousands digit of 33541043? Workthrough: 4 Math Problem: What is the thousands digit of 259217? Workthrough: 9 Math Problem: What is the millions digit of 2105384? Workthrough: 2 Math Problem: What is the units digit of 5072? Workthrough: 2 Math Problem: What is the tens digit of 38813274? Workthrough: 7 Math Problem: What is the tens digit of 2035170? Workthrough: 7 Math Problem: What is the units digit of 4854? Workthrough: 4 Math Problem: What is the units digit of 13201262? Workthrough: 2 Math Problem: What is the hundred millions digit of 3079226133? Workthrough: 0 Math Problem: What is the thousands digit of 79238? Workthrough: 9 Math Problem: What is the thousands digit of 311290? Workthrough: 1 Math Problem: What is the hundred millions digit of 300787588? Workthrough: 3 Math Problem: What is the units digit of 50869? Workthrough: 9 Math Problem: What is the tens digit of 255212? Workthrough: 1 Math Problem: What is the units digit of 135875909? Workthrough: 9 Math Problem: What is the hundred thousands digit of 4292940665? Workthrough: 9 Math Problem: What is the thousands digit of 16850093? Workthrough: 0 Math Problem: What is the hundreds digit of 1392? Workthrough: 3 Math Problem: What is the thousands digit of 10359? Workthrough: 0 Math Problem: What is the tens digit of 438340313? Workthrough: 1 Math Problem: What is the units digit of 2903922? Workthrough: 2 Math Problem: What is the hundreds digit of 297123575? Workthrough: 5 Math Problem: What is the hundred thousands digit of 3582247612? Workthrough: 2 Math Problem: What is the hundreds digit of 4121? Workthrough: 1 Math Problem: What is the millions dig
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numbers: is prime ----------------- Subquestion: Is 63730714205 prime? Calculation: False Subquestion: Is 492127151 a prime number? Calculation: False Subquestion: Is 33518195819 a composite number? Calculation: False Subquestion: Is 61871231 a prime number? Calculation: False Subquestion: Is 510107 prime? Calculation: False Subquestion: Is 22061061839 a prime number? Calculation: False Subquestion: Is 5432783 composite? Calculation: False Subquestion: Is 119129 prime? Calculation: True Subquestion: Is 4732065629 prime? Calculation: False Subquestion: Is 105583 a prime number? Calculation: False Subquestion: Is 607166531 prime? Calculation: False Subquestion: Is 129916169 a composite number? Calculation: False Subquestion: Is 6619955939 prime? Calculation: True Subquestion: Is 1945014317 a prime number? Calculation: True Subquestion: Is 10494511 a composite number? Calculation: False Subquestion: Is 54575069 prime? Calculation: True Subquestion: Is 263819137 a prime number? Calculation: True Subquestion: Is 121162645 a composite number? Calculation: True Subquestion: Is 23477 composite? Calculation: True Subquestion: Is 582965 a prime number? Calculation: False Subquestion: Is 2180817721 prime? Calculation: True Subquestion: Is 2041640561 a prime number? Calculation: True Subquestion: Is 1072861 composite? Calculation: True Subquestion: Is 50909 composite? Calculation: False Subquestion: Is 98179 a composite number? Calculation: False Subquestion: Is 28233377 a composite number? Calculation: True Subquestion: Is 47631 a prime number? Calculation: False Subquestion: Is 28387 a composite number? Calculation: False Subquestion: Is 366059 prime? Calculation: False Subquestion: Is 35170183 composite? Calculation: False Subquestion: Is 525023 prime? Calculation: False Subquestion: Is 1544245 prime? Calculation: False Subquestion: Is 352800007 a prime number? Calculation: False Subquestion: Is 76286761 prime? Calculation: True Subquestion: Is 1962291053 a composite number?
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measurement: time ----------------- What if: How many minutes are there between 7:03 AM and 6:42 PM? Response: 699 What if: What is 244 minutes before 6:37 AM? Response: 2:33 AM What if: What is 578 minutes before 7:41 AM? Response: 10:03 PM What if: What is 708 minutes before 5:01 PM? Response: 5:13 AM What if: How many minutes are there between 8:34 AM and 9:37 AM? Response: 63 What if: What is 126 minutes before 8:40 PM? Response: 6:34 PM What if: How many minutes are there between 11:20 PM and 6:18 AM? Response: 418 What if: What is 398 minutes after 9:24 AM? Response: 4:02 PM What if: What is 35 minutes after 10:44 PM? Response: 11:19 PM What if: What is 292 minutes after 6:05 PM? Response: 10:57 PM What if: How many minutes are there between 5:10 AM and 12:29 PM? Response: 439 What if: What is 661 minutes after 12:53 AM? Response: 11:54 AM What if: What is 572 minutes after 9:41 PM? Response: 7:13 AM What if: What is 672 minutes before 12:13 PM? Response: 1:01 AM What if: How many minutes are there between 4:10 PM and 10:23 PM? Response: 373 What if: What is 342 minutes after 8:35 AM? Response: 2:17 PM What if: How many minutes are there between 11:23 AM and 9:15 PM? Response: 592 What if: What is 342 minutes after 9:19 PM? Response: 3:01 AM What if: How many minutes are there between 10:21 PM and 2:31 AM? Response: 250 What if: How many minutes are there between 1:22 PM and 5:37 PM? Response: 255 What if: What is 197 minutes before 2:50 AM? Response: 11:33 PM What if: What is 328 minutes after 8:45 PM? Response: 2:13 AM What if: What is 101 minutes before 10:08 AM? Response: 8:27 AM What if: How many minutes are there between 4:21 PM and 1:06 AM? Response: 525 What if: What is 474 minutes after 3:42 PM? Response: 11:36 PM What if: How many minutes are there between 7:54 PM and 10:23 PM? Response: 149 What if: What is 354 minutes after 5:00 AM? Response: 10:54 AM What if: What is 324 minutes before 1:18 AM? Response: 7:54 PM What if: What is 679 minutes after
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probability: swr p sequence --------------------------- Prompt: What is prob of sequence ii when two letters picked without replacement from {i: 2, v: 4}? Workthrough: 1/15 Prompt: Two letters picked without replacement from zbzb. Give prob of sequence zb. Workthrough: 1/3 Prompt: Four letters picked without replacement from {y: 4, t: 2, r: 5}. What is prob of sequence rrry? Workthrough: 1/33 Prompt: Three letters picked without replacement from {s: 12, p: 7}. Give prob of sequence spp. Workthrough: 28/323 Prompt: Four letters picked without replacement from oopoooopqoworopopppr. What is prob of sequence prro? Workthrough: 1/969 Prompt: Calculate prob of sequence cwr when three letters picked without replacement from xccbbbbbrbrccrwxc. Workthrough: 1/272 Prompt: Calculate prob of sequence dud when three letters picked without replacement from guggggdgdggggg. Workthrough: 1/1092 Prompt: Three letters picked without replacement from {k: 10, w: 6, q: 1}. What is prob of sequence kkw? Workthrough: 9/68 Prompt: What is prob of sequence eeee when four letters picked without replacement from {e: 4}? Workthrough: 1 Prompt: Calculate prob of sequence rb when two letters picked without replacement from {r: 1, a: 2, b: 1, f: 2}. Workthrough: 1/30 Prompt: What is prob of sequence hvv when three letters picked without replacement from {w: 3, h: 3, v: 5}? Workthrough: 2/33 Prompt: Four letters picked without replacement from {v: 2, o: 3, y: 3, z: 12}. What is prob of sequence zyzy? Workthrough: 11/1615 Prompt: Four letters picked without replacement from bubbbubbbbbuubbuuub. What is prob of sequence ubbb? Workthrough: 385/3876 Prompt: What is prob of sequence br when two letters picked without replacement from ybryb? Workthrough: 1/10 Prompt: Calculate prob of sequence ng when two letters picked without replacement from {v: 2, m: 3, o: 6, z: 1, n: 3, g: 4}. Workthrough: 2/57 Prompt: Two letters picked without replacement from {h: 1, w: 1, p: 1, r: 2, b: 1, s: 2}. What is prob of
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arithmetic: nearest integer root -------------------------------- Problem #: What is 1664 to the power of 1/3, to the nearest integer? Derivation: 12 Problem #: What is 24363 to the power of 1/8, to the nearest integer? Derivation: 4 Problem #: What is 22868 to the power of 1/2, to the nearest integer? Derivation: 151 Problem #: What is 1050775 to the power of 1/4, to the nearest integer? Derivation: 32 Problem #: What is the third root of 42495881 to the nearest integer? Derivation: 349 Problem #: What is the square root of 40768 to the nearest integer? Derivation: 202 Problem #: What is the square root of 5162485 to the nearest integer? Derivation: 2272 Problem #: What is the fifth root of 1110 to the nearest integer? Derivation: 4 Problem #: What is 76940 to the power of 1/5, to the nearest integer? Derivation: 9 Problem #: What is the cube root of 13245920 to the nearest integer? Derivation: 237 Problem #: What is the square root of 64826 to the nearest integer? Derivation: 255 Problem #: What is 624530618 to the power of 1/7, to the nearest integer? Derivation: 18 Problem #: What is the eighth root of 3148557205 to the nearest integer? Derivation: 15 Problem #: What is the fifth root of 815531208 to the nearest integer? Derivation: 61 Problem #: What is 174764 to the power of 1/2, to the nearest integer? Derivation: 418 Problem #: What is the square root of 19276 to the nearest integer? Derivation: 139 Problem #: What is the third root of 170684 to the nearest integer? Derivation: 55 Problem #: What is 16966280 to the power of 1/8, to the nearest integer? Derivation: 8 Problem #: What is the ninth root of 58451039 to the nearest integer? Derivation: 7 Problem #: What is 92529745 to the power of 1/5, to the nearest integer? Derivation: 39 Problem #: What is 47682181 to the power of 1/3, to the nearest integer? Derivation: 363 Problem #: What is the third root of 65864 to the nearest integer? Derivation: 40 Problem #: What is the ninth root of 1111 to the nearest
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numbers: is factor ------------------ Statement: Does 35 divide 144482476? Steps: False Statement: Is 419646951 a multiple of 9? Steps: True Statement: Is 270010705 a multiple of 218? Steps: False Statement: Is 34464 a multiple of 24? Steps: True Statement: Is 252 a factor of 90468? Steps: True Statement: Is 28 a factor of 536? Steps: False Statement: Does 17 divide 419? Steps: False Statement: Is 31 a factor of 32767? Steps: True Statement: Is 1720 a factor of 1146182125? Steps: False Statement: Is 1069906 a multiple of 10? Steps: False Statement: Is 1678 a multiple of 53? Steps: False Statement: Is 18 a factor of 5418? Steps: True Statement: Does 1258 divide 869617812? Steps: False Statement: Does 12 divide 18565428? Steps: True Statement: Does 248 divide 160704381? Steps: False Statement: Is 140920488 a multiple of 9? Steps: True Statement: Is 1332 a multiple of 74? Steps: True Statement: Does 1129 divide 32300442? Steps: False Statement: Does 110 divide 74690? Steps: True Statement: Is 67159 a multiple of 2? Steps: False Statement: Does 46 divide 1048? Steps: False Statement: Does 37 divide 6729478? Steps: False Statement: Does 170 divide 1138042? Steps: False Statement: Is 26 a factor of 22100? Steps: True Statement: Does 90 divide 689? Steps: False Statement: Is 23 a factor of 189221? Steps: True Statement: Does 7 divide 14189? Steps: True Statement: Is 3743 a factor of 112230112? Steps: True Statement: Does 2858 divide 236896762? Steps: True Statement: Does 419 divide 142041? Steps: True Statement: Is 43 a factor of 1048942? Steps: True Statement: Is 107879 a multiple of 7? Steps: False Statement: Does 227 divide 960664? Steps: True Statement: Does 149 divide 16583849? Steps: True Statement: Does 2 divide 555558877? Steps: False Statement: Does 8 divide 1270? Steps: False Statement: Is 42228 a multiple of 23? Steps: True Statement: Does 125 divide 7777? Steps: False Statement: Is 46 a factor of 19917? Steps: False Statement: Is 372163 a multiple of 59? Steps:
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arithmetic: nearest integer root -------------------------------- Q-: What is the square root of 254 to the nearest integer? Result: 16 Q-: What is the third root of 1532 to the nearest integer? Result: 12 Q-: What is the ninth root of 671 to the nearest integer? Result: 2 Q-: What is 22140955 to the power of 1/3, to the nearest integer? Result: 281 Q-: What is the third root of 15205 to the nearest integer? Result: 25 Q-: What is 4250 to the power of 1/2, to the nearest integer? Result: 65 Q-: What is the cube root of 46334 to the nearest integer? Result: 36 Q-: What is the sixth root of 585953 to the nearest integer? Result: 9 Q-: What is 1126624225 to the power of 1/2, to the nearest integer? Result: 33565 Q-: What is 9062023 to the power of 1/9, to the nearest integer? Result: 6 Q-: What is 611975 to the power of 1/2, to the nearest integer? Result: 782 Q-: What is the cube root of 4314 to the nearest integer? Result: 16 Q-: What is the tenth root of 1274895074 to the nearest integer? Result: 8 Q-: What is the third root of 82777 to the nearest integer? Result: 44 Q-: What is the square root of 237967872 to the nearest integer? Result: 15426 Q-: What is the square root of 116168 to the nearest integer? Result: 341 Q-: What is 44384014 to the power of 1/10, to the nearest integer? Result: 6 Q-: What is the square root of 359 to the nearest integer? Result: 19 Q-: What is 118899 to the power of 1/3, to the nearest integer? Result: 49 Q-: What is the square root of 1143068146 to the nearest integer? Result: 33809 Q-: What is the eighth root of 1367 to the nearest integer? Result: 2 Q-: What is the sixth root of 3815 to the nearest integer? Result: 4 Q-: What is the third root of 43892 to the nearest integer? Result: 35 Q-: What is the eighth root of 39368633 to the nearest integer? Result: 9 Q-: What is the cube root of 291078196 to the nearest integer? Result: 663 Q-: What is the third root of 3238 to the nearest integer? Result: 15 Q-: What is the seventh root of
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numbers: lcm ------------ Prompt: Find the common denominator of -46/3707 and -4/18535. Derivation: 18535 Prompt: What is the lowest common multiple of 468 and 807? Derivation: 125892 Prompt: Calculate the smallest common multiple of 245220 and 16270. Derivation: 398972940 Prompt: Calculate the common denominator of -87/40397990 and -89/4085190. Derivation: 363581910 Prompt: What is the smallest common multiple of 8 and 324398? Derivation: 1297592 Prompt: What is the lowest common multiple of 1614352 and 56? Derivation: 11300464 Prompt: What is the smallest common multiple of 2667 and 89980770? Derivation: 629865390 Prompt: What is the smallest common multiple of 1138 and 34882545? Derivation: 69765090 Prompt: What is the smallest common multiple of 28 and 1194? Derivation: 16716 Prompt: What is the lowest common multiple of 4251237 and 2985? Derivation: 21256185 Prompt: What is the common denominator of -77/1440 and -43/28800? Derivation: 28800 Prompt: Calculate the least common multiple of 278 and 10. Derivation: 1390 Prompt: What is the common denominator of -67/1078 and 7? Derivation: 1078 Prompt: What is the smallest common multiple of 436230 and 581640? Derivation: 1744920 Prompt: Calculate the lowest common multiple of 303925 and 37. Derivation: 11245225 Prompt: Calculate the lowest common multiple of 1944 and 774. Derivation: 83592 Prompt: Calculate the lowest common multiple of 36720 and 748. Derivation: 403920 Prompt: Find the common denominator of -117/134800 and 9/19715. Derivation: 531516400 Prompt: Calculate the lowest common multiple of 287164 and 5527907. Derivation: 22111628 Prompt: What is the common denominator of -179/120 and 101/1533960? Derivation: 1533960 Prompt: Find the common denominator of -55/208 and 99/52. Derivation: 208 Prompt: Calculate the smallest common multiple of 1826440 and 5600. Derivation: 36528800 Prompt: What is the lowest common multiple of 944712 and 472356? Derivation: 944712 Prompt: What is the lowest common multiple of
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measurement: conversion ----------------------- Part A: How many millilitres are there in 26/5 of a litre? Calculation: 5200 Part A: How many millimeters are there in 44/5 of a centimeter? Calculation: 88 Part A: What is eighteen fifths of a litre in millilitres? Calculation: 3600 Part A: How many months are there in 5/4 of a year? Calculation: 15 Part A: How many meters are there in 1432.583 nanometers? Calculation: 0.000001432583 Part A: How many millilitres are there in 1/5 of a litre? Calculation: 200 Part A: What is 25/8 of a kilometer in meters? Calculation: 3125 Part A: How many years are there in 1.390292 decades? Calculation: 13.90292 Part A: What is 1/10 of a century in years? Calculation: 10 Part A: How many hours are there in 10/3 of a day? Calculation: 80 Part A: Convert 3.220964km to centimeters. Calculation: 322096.4 Part A: What is three eighths of a centimeter in micrometers? Calculation: 3750 Part A: Convert 910129.4 millilitres to litres. Calculation: 910.1294 Part A: What is one fifth of a microgram in nanograms? Calculation: 200 Part A: How many kilograms are there in 32/5 of a tonne? Calculation: 6400 Part A: What is 27/5 of a kilogram in grams? Calculation: 5400 Part A: How many seconds are there in 1675.02us? Calculation: 0.00167502 Part A: How many kilograms are there in 11/4 of a tonne? Calculation: 2750 Part A: What is eight thirds of a minute in seconds? Calculation: 160 Part A: Convert 924.7482 micrograms to nanograms. Calculation: 924748.2 Part A: How many millilitres are there in 3/40 of a litre? Calculation: 75 Part A: How many milligrams are there in 14.25551kg? Calculation: 14255510 Part A: How many hours are there in 17/2 of a day? Calculation: 204 Part A: What is 1.24895 kilograms in nanograms? Calculation: 1248950000000 Part A: What is 78.03 months in decades? Calculation: 0.65025 Part A: How many nanograms are there in 3563.782ug? Calculation: 3563782 Part A: How many hours are there in 162.11826 minutes? Calculation: 2.701971 P
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numbers: gcd ------------ Math Q: Calculate the highest common divisor of 19 and 8759. Answer: 19 Math Q: What is the highest common divisor of 152 and 114? Answer: 38 Math Q: What is the highest common factor of 31200 and 300? Answer: 300 Math Q: Calculate the highest common factor of 55759 and 345103. Answer: 1507 Math Q: Calculate the greatest common factor of 715 and 13. Answer: 13 Math Q: What is the greatest common divisor of 18 and 384? Answer: 6 Math Q: What is the highest common factor of 36 and 324? Answer: 36 Math Q: What is the greatest common divisor of 1350 and 548915850? Answer: 450 Math Q: Calculate the highest common factor of 712871 and 23405. Answer: 151 Math Q: What is the highest common divisor of 138 and 12? Answer: 6 Math Q: Calculate the highest common divisor of 135 and 2898720. Answer: 135 Math Q: What is the greatest common factor of 110 and 70? Answer: 10 Math Q: What is the highest common divisor of 384 and 144? Answer: 48 Math Q: Calculate the highest common factor of 8 and 13655. Answer: 1 Math Q: What is the greatest common divisor of 2646 and 1037316? Answer: 42 Math Q: Calculate the greatest common divisor of 28910 and 7021826. Answer: 826 Math Q: Calculate the greatest common factor of 29988104 and 17665. Answer: 3533 Math Q: What is the greatest common divisor of 634 and 53573? Answer: 317 Math Q: Calculate the highest common factor of 5355258 and 3438. Answer: 1146 Math Q: What is the highest common factor of 2366 and 182? Answer: 182 Math Q: Calculate the greatest common factor of 7289220 and 165. Answer: 15 Math Q: What is the greatest common factor of 304219 and 109? Answer: 109 Math Q: Calculate the highest common divisor of 2831 and 5. Answer: 1 Math Q: What is the highest common factor of 123470 and 120? Answer: 10 Math Q: What is the highest common divisor of 548 and 4523192? Answer: 548 Math Q: What is the highest common factor of 525 and 100? Answer: 25 Math Q: What is the greatest common divisor of 2943 and 32046? Answe
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numbers: is prime ----------------- Given: Is 131837 a prime number? Derivation: True Given: Is 883451027 prime? Derivation: True Given: Is 10639459 a composite number? Derivation: True Given: Is 63157 composite? Derivation: True Given: Is 1145281 composite? Derivation: False Given: Is 177467 a composite number? Derivation: False Given: Is 95435 a composite number? Derivation: True Given: Is 4637 prime? Derivation: True Given: Is 3053777579 composite? Derivation: False Given: Is 4886981 a composite number? Derivation: True Given: Is 233494 a prime number? Derivation: False Given: Is 4201 a prime number? Derivation: True Given: Is 78623 a composite number? Derivation: False Given: Is 15499 a composite number? Derivation: True Given: Is 497912497 a prime number? Derivation: True Given: Is 745063255 a prime number? Derivation: False Given: Is 387463 a composite number? Derivation: False Given: Is 6581 composite? Derivation: False Given: Is 3659 prime? Derivation: True Given: Is 53716939 prime? Derivation: True Given: Is 92873 composite? Derivation: True Given: Is 7052919043 a prime number? Derivation: False Given: Is 444071 composite? Derivation: True Given: Is 1421915281 prime? Derivation: False Given: Is 8203 a composite number? Derivation: True Given: Is 587 a prime number? Derivation: True Given: Is 55212977297 a prime number? Derivation: True Given: Is 124561 composite? Derivation: False Given: Is 4661 prime? Derivation: False Given: Is 29411 composite? Derivation: False Given: Is 629103 prime? Derivation: False Given: Is 344030849 prime? Derivation: False Given: Is 13953860441 prime? Derivation: True Given: Is 26189 composite? Derivation: False Given: Is 100372411 prime? Derivation: False Given: Is 1731 a composite number? Derivation: True Given: Is 29683 a prime number? Derivation: True Given: Is 20873 prime? Derivation: True Given: Is 385611958 prime? Derivation: False Given: Is 4562 prime? Derivation: False Given: Is 24607 a composite number? Derivation: True
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arithmetic: nearest integer root -------------------------------- Given: What is the square root of 504708 to the nearest integer? Key: 710 Given: What is the tenth root of 60401 to the nearest integer? Key: 3 Given: What is 4392 to the power of 1/5, to the nearest integer? Key: 5 Given: What is the square root of 978859818 to the nearest integer? Key: 31287 Given: What is 2907643 to the power of 1/2, to the nearest integer? Key: 1705 Given: What is the fifth root of 904912123 to the nearest integer? Key: 62 Given: What is the square root of 1822013195 to the nearest integer? Key: 42685 Given: What is the eighth root of 18646 to the nearest integer? Key: 3 Given: What is 46823342 to the power of 1/6, to the nearest integer? Key: 19 Given: What is 56889 to the power of 1/3, to the nearest integer? Key: 38 Given: What is 4097 to the power of 1/2, to the nearest integer? Key: 64 Given: What is the third root of 3807687 to the nearest integer? Key: 156 Given: What is 1334 to the power of 1/6, to the nearest integer? Key: 3 Given: What is 6460143 to the power of 1/2, to the nearest integer? Key: 2542 Given: What is the cube root of 1430025 to the nearest integer? Key: 113 Given: What is 37253 to the power of 1/2, to the nearest integer? Key: 193 Given: What is 5480780 to the power of 1/2, to the nearest integer? Key: 2341 Given: What is the seventh root of 9606 to the nearest integer? Key: 4 Given: What is the square root of 116554 to the nearest integer? Key: 341 Given: What is the square root of 632200688 to the nearest integer? Key: 25144 Given: What is the tenth root of 15475067 to the nearest integer? Key: 5 Given: What is 5634654 to the power of 1/7, to the nearest integer? Key: 9 Given: What is 15703486 to the power of 1/10, to the nearest integer? Key: 5 Given: What is the cube root of 1824404846 to the nearest integer? Key: 1222 Given: What is the seventh root of 3623 to the nearest integer? Key: 3 Given: What is the third root of 262596 to the nearest integer?
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numbers: is prime ----------------- Task: Is 4635731 a composite number? Hence: False Task: Is 318339503 a prime number? Hence: True Task: Is 2112143723 composite? Hence: True Task: Is 1137635593 composite? Hence: True Task: Is 49940453 composite? Hence: True Task: Is 2047061 composite? Hence: False Task: Is 8411955547 prime? Hence: True Task: Is 120308771 a prime number? Hence: False Task: Is 456298859 prime? Hence: False Task: Is 864401 a composite number? Hence: True Task: Is 602789 composite? Hence: True Task: Is 13159478989 a composite number? Hence: True Task: Is 1174225007 a prime number? Hence: False Task: Is 2365586149 a composite number? Hence: True Task: Is 178085 composite? Hence: True Task: Is 69748187 a composite number? Hence: False Task: Is 32394751 prime? Hence: False Task: Is 43086023 a composite number? Hence: False Task: Is 597119 composite? Hence: True Task: Is 15467 composite? Hence: False Task: Is 12900877 a composite number? Hence: True Task: Is 30992453 a prime number? Hence: False Task: Is 44676859 a composite number? Hence: True Task: Is 17851 composite? Hence: False Task: Is 13261 prime? Hence: False Task: Is 6960553 prime? Hence: False Task: Is 63053087 composite? Hence: True Task: Is 21463121 prime? Hence: False Task: Is 116171273 composite? Hence: False Task: Is 142739417 a composite number? Hence: False Task: Is 3772033 a prime number? Hence: False Task: Is 143909 prime? Hence: True Task: Is 105969 a prime number? Hence: False Task: Is 9053 composite? Hence: True Task: Is 30658621 a composite number? Hence: True Task: Is 12700126 prime? Hence: False Task: Is 671383 a prime number? Hence: True Task: Is 289331 a prime number? Hence: False Task: Is 5804646439 composite? Hence: False Task: Is 1961 a composite number? Hence: True Task: Is 41362 a composite number? Hence: True Task: Is 120463817 composite? Hence: True Task: Is 64692541 composite? Hence: False Task: Is 1677229 a prime number? Hence: False Task: Is 650911 prime? Hence: True T
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numbers: div remainder ---------------------- Exercise: What is the remainder when 327 is divided by 30? Final Answer: 27 Exercise: What is the remainder when 1386580 is divided by 69329? Final Answer: 0 Exercise: Calculate the remainder when 1149217 is divided by 25. Final Answer: 17 Exercise: Calculate the remainder when 186075 is divided by 1425. Final Answer: 825 Exercise: Calculate the remainder when 4312070 is divided by 6675. Final Answer: 20 Exercise: Calculate the remainder when 399045 is divided by 15936. Final Answer: 645 Exercise: Calculate the remainder when 143076 is divided by 1416. Final Answer: 60 Exercise: What is the remainder when 59 is divided by 10? Final Answer: 9 Exercise: What is the remainder when 125 is divided by 69? Final Answer: 56 Exercise: Calculate the remainder when 91887 is divided by 45. Final Answer: 42 Exercise: What is the remainder when 1319 is divided by 60? Final Answer: 59 Exercise: What is the remainder when 207546922 is divided by 21? Final Answer: 16 Exercise: Calculate the remainder when 6003 is divided by 651. Final Answer: 144 Exercise: What is the remainder when 8639 is divided by 133? Final Answer: 127 Exercise: What is the remainder when 874 is divided by 363? Final Answer: 148 Exercise: What is the remainder when 55275 is divided by 222? Final Answer: 219 Exercise: What is the remainder when 662371 is divided by 165577? Final Answer: 63 Exercise: What is the remainder when 190 is divided by 12? Final Answer: 10 Exercise: Calculate the remainder when 669 is divided by 56. Final Answer: 53 Exercise: What is the remainder when 5064 is divided by 17? Final Answer: 15 Exercise: Calculate the remainder when 77290738 is divided by 176. Final Answer: 162 Exercise: Calculate the remainder when 11811 is divided by 134. Final Answer: 19 Exercise: What is the remainder when 108512 is divided by 11? Final Answer: 8 Exercise: Calculate the remainder when 178210 is divided by 17821. Final Answer: 0 Exercise: Calculate the remain
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arithmetic: nearest integer root -------------------------------- Request: What is 100 to the power of 1/6, to the nearest integer? Answer: 2 Request: What is 2242857 to the power of 1/3, to the nearest integer? Answer: 131 Request: What is the third root of 609937044 to the nearest integer? Answer: 848 Request: What is the seventh root of 901927270 to the nearest integer? Answer: 19 Request: What is 320816 to the power of 1/10, to the nearest integer? Answer: 4 Request: What is the cube root of 96027 to the nearest integer? Answer: 46 Request: What is 21048987 to the power of 1/3, to the nearest integer? Answer: 276 Request: What is 64750 to the power of 1/3, to the nearest integer? Answer: 40 Request: What is the square root of 37306221 to the nearest integer? Answer: 6108 Request: What is the fourth root of 9577757193 to the nearest integer? Answer: 313 Request: What is 7280 to the power of 1/6, to the nearest integer? Answer: 4 Request: What is the cube root of 272879 to the nearest integer? Answer: 65 Request: What is 47089436 to the power of 1/2, to the nearest integer? Answer: 6862 Request: What is the ninth root of 591931740 to the nearest integer? Answer: 9 Request: What is 736345148 to the power of 1/2, to the nearest integer? Answer: 27136 Request: What is the square root of 3802705 to the nearest integer? Answer: 1950 Request: What is the sixth root of 168 to the nearest integer? Answer: 2 Request: What is the tenth root of 15388 to the nearest integer? Answer: 3 Request: What is 723114504 to the power of 1/2, to the nearest integer? Answer: 26891 Request: What is the square root of 1531324 to the nearest integer? Answer: 1237 Request: What is the square root of 2369 to the nearest integer? Answer: 49 Request: What is the cube root of 6539 to the nearest integer? Answer: 19 Request: What is 333874935 to the power of 1/8, to the nearest integer? Answer: 12 Request: What is the fifth root of 33530773 to the nearest integer? Answer: 32 Request: What is 2205
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probability: swr p sequence --------------------------- What if: Two letters picked without replacement from gssssjjjsssg. Give prob of sequence sg. Interpretation: 7/66 What if: Calculate prob of sequence wwk when three letters picked without replacement from {k: 4, h: 2, w: 6}. Interpretation: 1/11 What if: Calculate prob of sequence xoq when three letters picked without replacement from {i: 4, q: 3, v: 2, x: 3, o: 2, t: 2}. Interpretation: 3/560 What if: Three letters picked without replacement from {b: 5, n: 5, j: 1, q: 1, g: 7}. Give prob of sequence qjn. Interpretation: 5/5814 What if: Four letters picked without replacement from {c: 5, s: 1, i: 1, x: 9}. What is prob of sequence xcci? Interpretation: 3/728 What if: What is prob of sequence uuu when three letters picked without replacement from nddnnuuduudndnnunf? Interpretation: 5/408 What if: Two letters picked without replacement from {x: 6, y: 4}. Give prob of sequence yy. Interpretation: 2/15 What if: What is prob of sequence by when two letters picked without replacement from {g: 1, y: 8, k: 2, q: 1, b: 8}? Interpretation: 16/95 What if: Three letters picked without replacement from {u: 3, p: 2, f: 1, r: 4, n: 2}. What is prob of sequence rnu? Interpretation: 1/55 What if: Three letters picked without replacement from {z: 2, q: 11}. What is prob of sequence qzz? Interpretation: 1/78 What if: Three letters picked without replacement from {i: 9, g: 5}. Give prob of sequence iii. Interpretation: 3/13 What if: Two letters picked without replacement from cjjzzpzzzzczpzp. What is prob of sequence zz? Interpretation: 4/15 What if: Calculate prob of sequence hh when two letters picked without replacement from wwhhw. Interpretation: 1/10 What if: What is prob of sequence uqqo when four letters picked without replacement from ouqqooso? Interpretation: 1/210 What if: What is prob of sequence yya when three letters picked without replacement from {l: 2, a: 1, y: 2, q: 1}? Interpretation: 1/60 What if: Three letters
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numbers: gcd ------------ Q-: Calculate the greatest common divisor of 35 and 630. Ans: 35 Q-: Calculate the highest common factor of 11178 and 738. Ans: 18 Q-: Calculate the greatest common factor of 42 and 8288. Ans: 14 Q-: What is the greatest common factor of 46 and 298678? Ans: 46 Q-: What is the greatest common factor of 9120 and 2470? Ans: 190 Q-: Calculate the greatest common divisor of 496 and 18724. Ans: 124 Q-: What is the highest common factor of 9937606 and 454? Ans: 454 Q-: Calculate the highest common factor of 182 and 2296. Ans: 14 Q-: Calculate the greatest common divisor of 2759 and 403. Ans: 31 Q-: What is the greatest common factor of 80 and 20? Ans: 20 Q-: What is the highest common divisor of 3 and 951? Ans: 3 Q-: Calculate the highest common factor of 8855 and 9625. Ans: 385 Q-: What is the highest common divisor of 280517340 and 16320? Ans: 1020 Q-: Calculate the highest common divisor of 303199144 and 8. Ans: 8 Q-: What is the highest common divisor of 198 and 18051? Ans: 33 Q-: Calculate the highest common divisor of 32 and 8. Ans: 8 Q-: Calculate the highest common factor of 288 and 2672. Ans: 16 Q-: Calculate the highest common divisor of 518 and 56. Ans: 14 Q-: Calculate the highest common divisor of 270 and 177255. Ans: 135 Q-: Calculate the greatest common factor of 11937 and 69. Ans: 69 Q-: Calculate the greatest common factor of 1587 and 345. Ans: 69 Q-: What is the highest common divisor of 102700 and 613600? Ans: 1300 Q-: What is the greatest common factor of 553 and 30099? Ans: 79 Q-: What is the greatest common factor of 123 and 205? Ans: 41 Q-: Calculate the greatest common factor of 232 and 238786812. Ans: 116 Q-: Calculate the greatest common factor of 319 and 28246. Ans: 29 Q-: Calculate the highest common divisor of 18 and 22. Ans: 2 Q-: What is the greatest common factor of 83432 and 3480? Ans: 8 Q-: What is the greatest common factor of 115 and 20815? Ans: 115 Q-: What is the highest common factor of 980 and 100? Ans: 20 Q
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numbers: lcm ------------ Example: What is the common denominator of -10/25929 and -103/42? Interpretation: 363006 Example: What is the least common multiple of 26 and 118878? Interpretation: 1545414 Example: Find the common denominator of 167/190512 and 7/176. Interpretation: 2095632 Example: Calculate the common denominator of 43/3744 and 71/797238. Interpretation: 12755808 Example: What is the common denominator of 143/36 and -163/4193436? Interpretation: 12580308 Example: What is the common denominator of -83/136 and 79/140? Interpretation: 4760 Example: What is the smallest common multiple of 38056 and 2144? Interpretation: 152224 Example: What is the common denominator of -101/36 and 17/184? Interpretation: 1656 Example: What is the least common multiple of 105 and 2415? Interpretation: 2415 Example: What is the least common multiple of 300 and 97324? Interpretation: 7299300 Example: What is the lowest common multiple of 2602 and 78060? Interpretation: 78060 Example: What is the least common multiple of 450 and 2250? Interpretation: 2250 Example: What is the lowest common multiple of 300 and 6? Interpretation: 300 Example: What is the common denominator of -73/9 and 13/1980? Interpretation: 1980 Example: Calculate the least common multiple of 45136 and 183456. Interpretation: 5687136 Example: Calculate the smallest common multiple of 7 and 203. Interpretation: 203 Example: What is the lowest common multiple of 396 and 20? Interpretation: 1980 Example: Calculate the smallest common multiple of 91 and 1070407. Interpretation: 7492849 Example: What is the common denominator of 111/200 and -119/15294640? Interpretation: 76473200 Example: Find the common denominator of -157/202517850 and 43/546798195. Interpretation: 5467981950 Example: Calculate the smallest common multiple of 10 and 25. Interpretation: 50 Example: What is the least common multiple of 197184 and 832? Interpretation: 197184 Example: What is the least common multiple of 128360 and 25672? Interpretat
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measurement: time ----------------- Example: How many minutes are there between 7:43 PM and 6:07 AM? Soln: 624 Example: What is 557 minutes before 9:52 PM? Soln: 12:35 PM Example: How many minutes are there between 4:46 PM and 5:19 PM? Soln: 33 Example: How many minutes are there between 1:36 PM and 1:13 AM? Soln: 697 Example: How many minutes are there between 5:29 PM and 3:05 AM? Soln: 576 Example: How many minutes are there between 5:18 AM and 9:01 AM? Soln: 223 Example: How many minutes are there between 2:59 AM and 8:19 AM? Soln: 320 Example: What is 195 minutes after 3:15 PM? Soln: 6:30 PM Example: How many minutes are there between 10:08 PM and 10:50 PM? Soln: 42 Example: How many minutes are there between 11:29 AM and 4:03 PM? Soln: 274 Example: How many minutes are there between 12:01 PM and 9:39 PM? Soln: 578 Example: What is 171 minutes before 3:28 PM? Soln: 12:37 PM Example: How many minutes are there between 11:38 PM and 8:57 AM? Soln: 559 Example: What is 628 minutes after 9:35 PM? Soln: 8:03 AM Example: What is 677 minutes before 4:46 PM? Soln: 5:29 AM Example: What is 54 minutes before 6:13 AM? Soln: 5:19 AM Example: What is 202 minutes before 11:07 PM? Soln: 7:45 PM Example: How many minutes are there between 12:19 AM and 9:39 AM? Soln: 560 Example: What is 264 minutes after 8:12 AM? Soln: 12:36 PM Example: What is 67 minutes after 4:33 PM? Soln: 5:40 PM Example: What is 505 minutes before 10:25 AM? Soln: 2:00 AM Example: How many minutes are there between 6:02 PM and 5:27 AM? Soln: 685 Example: How many minutes are there between 2:48 AM and 2:43 PM? Soln: 715 Example: What is 581 minutes before 9:35 PM? Soln: 11:54 AM Example: What is 703 minutes after 2:19 AM? Soln: 2:02 PM Example: What is 405 minutes before 1:54 AM? Soln: 7:09 PM Example: What is 627 minutes after 12:26 PM? Soln: 10:53 PM Example: How many minutes are there between 8:54 PM and 11:09 PM? Soln: 135 Example: How many minutes are there between 3:07 AM and 12:14 PM? Soln: 547 Example
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numbers: is factor ------------------ Item: Is 1353 a multiple of 11? Resolution: True Item: Does 336 divide 120288? Resolution: True Item: Is 26858320 even? Resolution: True Item: Is 11 a factor of 13580? Resolution: False Item: Is 919 a multiple of 46? Resolution: False Item: Is 7 a factor of 867183? Resolution: False Item: Does 256 divide 10804777? Resolution: False Item: Is 11243930 a multiple of 37? Resolution: True Item: Is 2604 a multiple of 12? Resolution: True Item: Is 1664580 a multiple of 60? Resolution: True Item: Does 26 divide 335894910? Resolution: True Item: Is 4 a factor of 89262874? Resolution: False Item: Is 1897580187 a multiple of 65? Resolution: False Item: Is 21070 a multiple of 3? Resolution: False Item: Does 11 divide 320? Resolution: False Item: Does 1504 divide 359425649? Resolution: False Item: Is 1569 a factor of 197242128? Resolution: True Item: Does 51 divide 183855? Resolution: True Item: Is 3 a factor of 23397? Resolution: True Item: Is 2271 a multiple of 11? Resolution: False Item: Is 22152 a multiple of 156? Resolution: True Item: Is 710705235 a multiple of 535? Resolution: True Item: Is 49995 even? Resolution: False Item: Is 50 a factor of 15162100? Resolution: True Item: Does 12 divide 596472? Resolution: True Item: Does 14 divide 214209420? Resolution: False Item: Is 5699 a multiple of 19? Resolution: False Item: Is 45 a factor of 2115? Resolution: True Item: Is 544 a factor of 751808? Resolution: True Item: Is 64 a factor of 15133? Resolution: False Item: Is 13 a factor of 7406256? Resolution: True Item: Is 602 a factor of 161555730? Resolution: True Item: Is 41 a factor of 31365? Resolution: True Item: Is 3208331 a multiple of 78? Resolution: False Item: Is 48 a factor of 1680? Resolution: True Item: Is 292 a factor of 252272232? Resolution: True Item: Is 77422646 a multiple of 322? Resolution: True Item: Is 24864 a multiple of 42? Resolution: True Item: Does 530 divide 59658920? Resolution: True Item: Does 72 divide 88344? Re
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numbers: place value -------------------- Q-: What is the tens digit of 9773? Ans: 7 Q-: What is the units digit of 5376? Ans: 6 Q-: What is the hundreds digit of 460065883? Ans: 8 Q-: What is the tens digit of 284? Ans: 8 Q-: What is the hundred thousands digit of 633441? Ans: 6 Q-: What is the ten thousands digit of 27361? Ans: 2 Q-: What is the hundreds digit of 332? Ans: 3 Q-: What is the thousands digit of 396010? Ans: 6 Q-: What is the ten millions digit of 7858560601? Ans: 5 Q-: What is the tens digit of 3012300? Ans: 0 Q-: What is the thousands digit of 1019? Ans: 1 Q-: What is the ten thousands digit of 757373967? Ans: 7 Q-: What is the millions digit of 6844631? Ans: 6 Q-: What is the thousands digit of 437674? Ans: 7 Q-: What is the millions digit of 1989517409? Ans: 9 Q-: What is the ten thousands digit of 8735311? Ans: 3 Q-: What is the ten millions digit of 22857422? Ans: 2 Q-: What is the ten millions digit of 1939901618? Ans: 3 Q-: What is the ten thousands digit of 74770? Ans: 7 Q-: What is the ten thousands digit of 150136? Ans: 5 Q-: What is the hundreds digit of 274? Ans: 2 Q-: What is the units digit of 16055? Ans: 5 Q-: What is the thousands digit of 962226? Ans: 2 Q-: What is the tens digit of 1673195? Ans: 9 Q-: What is the thousands digit of 127946128? Ans: 6 Q-: What is the tens digit of 8325? Ans: 2 Q-: What is the tens digit of 993194? Ans: 9 Q-: What is the ten thousands digit of 1069035? Ans: 6 Q-: What is the hundreds digit of 9581? Ans: 5 Q-: What is the hundreds digit of 224858455? Ans: 4 Q-: What is the tens digit of 359402? Ans: 0 Q-: What is the tens digit of 1153906623? Ans: 2 Q-: What is the tens digit of 12079? Ans: 7 Q-: What is the units digit of 2927143966? Ans: 6 Q-: What is the thousands digit of 6276093945? Ans: 3 Q-: What is the millions digit of 1880876858? Ans: 0 Q-: What is the thousands digit of 1211? Ans: 1 Q-: What is the ten millions digit of 187126126? Ans: 8 Q-: What is the ten thousands digit of 187671754? Ans:
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numbers: lcm ------------ Subquestion: Find the common denominator of 145/72 and -65/48. Conclusion: 144 Subquestion: What is the common denominator of 151/6630 and -94/4641? Conclusion: 46410 Subquestion: What is the smallest common multiple of 14 and 24? Conclusion: 168 Subquestion: Calculate the common denominator of -65/15647834 and -127/12. Conclusion: 93887004 Subquestion: Find the common denominator of 1/152 and -109/139118. Conclusion: 556472 Subquestion: Calculate the least common multiple of 8046 and 4470. Conclusion: 40230 Subquestion: What is the common denominator of 9/1981 and 83/3962? Conclusion: 3962 Subquestion: Calculate the common denominator of 89/2158 and -47/1786492. Conclusion: 23224396 Subquestion: Calculate the lowest common multiple of 258177 and 774531. Conclusion: 774531 Subquestion: What is the common denominator of -77/4292712 and -143/408? Conclusion: 72976104 Subquestion: Calculate the least common multiple of 176192 and 8. Conclusion: 176192 Subquestion: What is the least common multiple of 166 and 278676? Conclusion: 23130108 Subquestion: Calculate the lowest common multiple of 677019 and 700. Conclusion: 67701900 Subquestion: What is the common denominator of -103/2499900 and 113/17948? Conclusion: 17499300 Subquestion: What is the smallest common multiple of 354 and 514788? Conclusion: 30372492 Subquestion: What is the smallest common multiple of 218580 and 131148? Conclusion: 655740 Subquestion: What is the common denominator of -79/3672 and -67/1292? Conclusion: 69768 Subquestion: Find the common denominator of -49 and -93/2. Conclusion: 2 Subquestion: What is the lowest common multiple of 8 and 4879712? Conclusion: 4879712 Subquestion: What is the smallest common multiple of 60 and 3885? Conclusion: 15540 Subquestion: Calculate the lowest common multiple of 4682 and 67055604. Conclusion: 67055604 Subquestion: Find the common denominator of 49/10 and -37/4142. Conclusion: 20710 Subquestion: Find the common denominator of 101/710
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numbers: gcd ------------ Qn: What is the greatest common factor of 6 and 8? Key: 2 Qn: Calculate the greatest common factor of 114884 and 70. Key: 14 Qn: Calculate the highest common factor of 988 and 1300. Key: 52 Qn: Calculate the greatest common factor of 21 and 27727. Key: 7 Qn: Calculate the greatest common divisor of 10149 and 612. Key: 51 Qn: What is the greatest common divisor of 21480 and 240? Key: 120 Qn: What is the greatest common divisor of 54530 and 329? Key: 7 Qn: What is the greatest common factor of 25473408 and 384? Key: 384 Qn: Calculate the greatest common factor of 160 and 1429360. Key: 80 Qn: Calculate the greatest common divisor of 402 and 156. Key: 6 Qn: What is the highest common factor of 3723 and 11100745? Key: 1241 Qn: What is the greatest common factor of 2793451962 and 42? Key: 42 Qn: Calculate the highest common factor of 13548176 and 18494. Key: 2642 Qn: Calculate the greatest common divisor of 99 and 319. Key: 11 Qn: What is the highest common divisor of 706 and 8? Key: 2 Qn: Calculate the greatest common divisor of 896 and 280. Key: 56 Qn: What is the highest common divisor of 15689 and 58? Key: 29 Qn: What is the highest common divisor of 48 and 2676? Key: 12 Qn: Calculate the greatest common divisor of 54150 and 100. Key: 50 Qn: Calculate the greatest common factor of 65 and 104. Key: 13 Qn: Calculate the highest common factor of 1188354 and 3348. Key: 186 Qn: What is the greatest common factor of 4846 and 22? Key: 2 Qn: Calculate the greatest common factor of 747 and 159682538. Key: 83 Qn: Calculate the greatest common divisor of 7832 and 408056. Key: 88 Qn: Calculate the highest common factor of 1027170 and 315120. Key: 3030 Qn: Calculate the greatest common divisor of 64 and 144. Key: 16 Qn: Calculate the highest common factor of 380 and 312740. Key: 380 Qn: What is the greatest common divisor of 54 and 2358? Key: 18 Qn: What is the greatest common divisor of 18962275 and 25? Key: 25 Qn: What is the highest common divisor of 3
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probability: swr p sequence --------------------------- Topic: What is prob of sequence dv when two letters picked without replacement from fpfydvff? Key: 1/56 Topic: Three letters picked without replacement from {v: 1, j: 3, p: 10, l: 2, s: 3}. What is prob of sequence ljl? Key: 1/969 Topic: Calculate prob of sequence ejfj when four letters picked without replacement from bbbeaeefjefjeke. Key: 1/1365 Topic: Three letters picked without replacement from pkdkdkkkdcpkkcpkk. What is prob of sequence ccp? Key: 1/680 Topic: Two letters picked without replacement from {v: 1, a: 7, w: 1, b: 2, t: 4}. Give prob of sequence at. Key: 2/15 Topic: Two letters picked without replacement from qxxgqqgqcxqgc. Give prob of sequence gx. Key: 3/52 Topic: What is prob of sequence qg when two letters picked without replacement from {q: 2, z: 3, g: 5}? Key: 1/9 Topic: Calculate prob of sequence kzcj when four letters picked without replacement from czzktjty. Key: 1/840 Topic: Three letters picked without replacement from {z: 3, c: 6, r: 3, j: 2, g: 2, l: 2}. What is prob of sequence zgc? Key: 1/136 Topic: Three letters picked without replacement from iiiziqzqzi. Give prob of sequence iiq. Key: 1/18 Topic: Four letters picked without replacement from {l: 1, c: 2, z: 1, s: 1, j: 2}. What is prob of sequence cczj? Key: 1/210 Topic: Two letters picked without replacement from jjjjjjzjjzjjj. What is prob of sequence jz? Key: 11/78 Topic: Three letters picked without replacement from ynrrhtyyhhth. Give prob of sequence yyt. Key: 1/110 Topic: Three letters picked without replacement from ccccccoocp. What is prob of sequence opo? Key: 1/360 Topic: What is prob of sequence lv when two letters picked without replacement from {l: 2, s: 5, w: 4, v: 7}? Key: 7/153 Topic: Calculate prob of sequence ib when two letters picked without replacement from {b: 2, i: 2, w: 4}. Key: 1/14 Topic: Calculate prob of sequence lllq when four letters picked without replacement from ylcqqclqlql. Key: 2/165 Topic: What
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numbers: gcd ------------ Example: What is the highest common factor of 2 and 14426? Answer: 2 Example: What is the highest common divisor of 2376 and 314226? Answer: 594 Example: Calculate the greatest common divisor of 179290920 and 219. Answer: 219 Example: Calculate the greatest common divisor of 10950 and 6. Answer: 6 Example: What is the highest common divisor of 8300978 and 3483? Answer: 43 Example: What is the highest common divisor of 837 and 324? Answer: 27 Example: Calculate the highest common divisor of 567 and 4473. Answer: 63 Example: What is the greatest common divisor of 128 and 1696? Answer: 32 Example: What is the greatest common factor of 100644 and 8? Answer: 4 Example: What is the highest common divisor of 70041 and 555? Answer: 111 Example: What is the greatest common factor of 32 and 544? Answer: 32 Example: Calculate the greatest common factor of 7639538 and 185. Answer: 37 Example: What is the highest common divisor of 11414288 and 114? Answer: 38 Example: Calculate the highest common factor of 1936 and 308. Answer: 44 Example: Calculate the highest common divisor of 105 and 5. Answer: 5 Example: Calculate the highest common divisor of 147 and 273. Answer: 21 Example: What is the greatest common factor of 169346591 and 2038? Answer: 1019 Example: Calculate the greatest common factor of 3040 and 3504360. Answer: 760 Example: What is the highest common divisor of 3810 and 30? Answer: 30 Example: What is the highest common factor of 7089 and 187? Answer: 17 Example: What is the highest common divisor of 51905 and 70? Answer: 35 Example: What is the greatest common factor of 15 and 12? Answer: 3 Example: Calculate the greatest common divisor of 290 and 10. Answer: 10 Example: Calculate the greatest common divisor of 31760190 and 5390. Answer: 770 Example: What is the highest common factor of 4995 and 362772? Answer: 27 Example: What is the highest common divisor of 216 and 417096? Answer: 216 Example: What is the greatest common divisor of 1230
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probability: swr p sequence --------------------------- Part A: Two letters picked without replacement from {d: 3, v: 3}. What is prob of sequence vv? Answer: 1/5 Part A: Calculate prob of sequence dd when two letters picked without replacement from {e: 10, d: 2}. Answer: 1/66 Part A: Four letters picked without replacement from reeertrte. What is prob of sequence eree? Answer: 1/42 Part A: Four letters picked without replacement from {w: 4, h: 3, o: 6}. What is prob of sequence whwh? Answer: 3/715 Part A: Calculate prob of sequence kkri when four letters picked without replacement from {c: 1, e: 4, k: 2, r: 3, i: 2, m: 2}. Answer: 1/2002 Part A: What is prob of sequence qgq when three letters picked without replacement from {q: 5, m: 2, z: 6, v: 1, g: 2, h: 3}? Answer: 20/2907 Part A: Three letters picked without replacement from {k: 3, n: 4, p: 5, y: 1, r: 4, o: 1}. What is prob of sequence ykp? Answer: 5/1632 Part A: What is prob of sequence up when two letters picked without replacement from ucupll? Answer: 1/15 Part A: Four letters picked without replacement from {c: 1, z: 1, h: 2, m: 3}. What is prob of sequence mhmc? Answer: 1/70 Part A: Four letters picked without replacement from {s: 1, r: 2, x: 1}. Give prob of sequence xsrr. Answer: 1/12 Part A: Calculate prob of sequence gi when two letters picked without replacement from nfgai. Answer: 1/20 Part A: What is prob of sequence stt when three letters picked without replacement from stsssttssst? Answer: 14/165 Part A: Two letters picked without replacement from tatatttt. Give prob of sequence tt. Answer: 15/28 Part A: Two letters picked without replacement from pdddddpppddpd. What is prob of sequence pd? Answer: 10/39 Part A: What is prob of sequence ll when two letters picked without replacement from lelele? Answer: 1/5 Part A: Two letters picked without replacement from {z: 1, b: 3, w: 9, h: 1}. What is prob of sequence bw? Answer: 27/182 Part A: Calculate prob of sequence tzzk when four letters picked with
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arithmetic: nearest integer root -------------------------------- Q.: What is the square root of 118702820 to the nearest integer? Result: 10895 Q.: What is 485 to the power of 1/3, to the nearest integer? Result: 8 Q.: What is the cube root of 924740085 to the nearest integer? Result: 974 Q.: What is the third root of 149160252 to the nearest integer? Result: 530 Q.: What is 1077854364 to the power of 1/2, to the nearest integer? Result: 32831 Q.: What is the cube root of 4496620 to the nearest integer? Result: 165 Q.: What is the tenth root of 898158 to the nearest integer? Result: 4 Q.: What is 133725670 to the power of 1/2, to the nearest integer? Result: 11564 Q.: What is the square root of 384017150 to the nearest integer? Result: 19596 Q.: What is 14566217 to the power of 1/3, to the nearest integer? Result: 244 Q.: What is 20966 to the power of 1/7, to the nearest integer? Result: 4 Q.: What is 1018369231 to the power of 1/10, to the nearest integer? Result: 8 Q.: What is 609854464 to the power of 1/5, to the nearest integer? Result: 57 Q.: What is 15032167 to the power of 1/2, to the nearest integer? Result: 3877 Q.: What is the cube root of 6050 to the nearest integer? Result: 18 Q.: What is 42703480 to the power of 1/2, to the nearest integer? Result: 6535 Q.: What is the square root of 20604310 to the nearest integer? Result: 4539 Q.: What is the fifth root of 2046 to the nearest integer? Result: 5 Q.: What is the cube root of 82289323 to the nearest integer? Result: 435 Q.: What is the square root of 3239 to the nearest integer? Result: 57 Q.: What is the seventh root of 1123912098 to the nearest integer? Result: 20 Q.: What is the square root of 2478793 to the nearest integer? Result: 1574 Q.: What is the fourth root of 89290 to the nearest integer? Result: 17 Q.: What is the seventh root of 5468177299 to the nearest integer? Result: 25 Q.: What is the cube root of 2504045 to the nearest integer? Result: 136 Q.: What is the tenth root of 61819 to the n
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numbers: gcd ------------ Ask: Calculate the greatest common divisor of 204 and 124. Solution: 4 Ask: What is the highest common divisor of 1024 and 645888? Solution: 256 Ask: Calculate the greatest common divisor of 853974 and 114. Solution: 114 Ask: Calculate the greatest common divisor of 1428 and 35972. Solution: 68 Ask: Calculate the highest common factor of 131057758 and 26. Solution: 26 Ask: What is the greatest common factor of 2286402 and 366? Solution: 366 Ask: What is the highest common divisor of 129 and 1690287? Solution: 129 Ask: Calculate the highest common factor of 708390 and 1190. Solution: 170 Ask: Calculate the highest common divisor of 846 and 153. Solution: 9 Ask: What is the highest common factor of 33 and 6? Solution: 3 Ask: Calculate the greatest common factor of 36250 and 290. Solution: 290 Ask: Calculate the greatest common factor of 44 and 682. Solution: 22 Ask: Calculate the highest common factor of 137995 and 5250179. Solution: 2123 Ask: Calculate the greatest common factor of 65 and 30199. Solution: 13 Ask: What is the highest common factor of 925900 and 39574? Solution: 94 Ask: Calculate the greatest common divisor of 44 and 341. Solution: 11 Ask: Calculate the greatest common factor of 43069 and 39. Solution: 13 Ask: What is the greatest common divisor of 57 and 152? Solution: 19 Ask: Calculate the highest common divisor of 40 and 48672. Solution: 8 Ask: Calculate the greatest common divisor of 51172 and 5441677. Solution: 1163 Ask: What is the greatest common divisor of 504 and 1050? Solution: 42 Ask: Calculate the highest common divisor of 1235 and 9595. Solution: 95 Ask: What is the greatest common divisor of 615 and 45? Solution: 15 Ask: Calculate the highest common divisor of 8610250 and 6868. Solution: 202 Ask: Calculate the greatest common factor of 8519733 and 171. Solution: 171 Ask: What is the greatest common factor of 616 and 231? Solution: 77 Ask: What is the greatest common divisor of 3403 and 1927? Solution: 41 Ask: Wha
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numbers: lcm ------------ Subquestion: Calculate the common denominator of 149/2352 and -109/2408. Yields: 101136 Subquestion: Calculate the lowest common multiple of 7 and 4184. Yields: 29288 Subquestion: What is the lowest common multiple of 18 and 288? Yields: 288 Subquestion: What is the least common multiple of 984268 and 23890? Yields: 4921340 Subquestion: Calculate the common denominator of -119/534 and -50/267. Yields: 534 Subquestion: What is the common denominator of 63/748352 and -9/7279424? Yields: 80073664 Subquestion: What is the least common multiple of 1512 and 216? Yields: 1512 Subquestion: What is the smallest common multiple of 170 and 170? Yields: 170 Subquestion: Calculate the lowest common multiple of 2991006 and 2. Yields: 2991006 Subquestion: What is the common denominator of -37/931 and -30/1301671? Yields: 9111697 Subquestion: What is the smallest common multiple of 20 and 20544? Yields: 102720 Subquestion: What is the lowest common multiple of 7 and 581? Yields: 581 Subquestion: Calculate the least common multiple of 3 and 103. Yields: 309 Subquestion: What is the least common multiple of 61299042 and 42? Yields: 61299042 Subquestion: Calculate the common denominator of -13/13420 and -23/3419240. Yields: 208573640 Subquestion: Calculate the common denominator of -61/4540404 and -163/1285020. Yields: 68106060 Subquestion: Find the common denominator of -49/10 and -65/4418. Yields: 22090 Subquestion: Calculate the least common multiple of 62594 and 5. Yields: 312970 Subquestion: Calculate the common denominator of -133/28836 and 29/48060. Yields: 144180 Subquestion: Calculate the least common multiple of 81750 and 50. Yields: 81750 Subquestion: What is the lowest common multiple of 24 and 29970? Yields: 119880 Subquestion: Calculate the lowest common multiple of 504 and 14. Yields: 504 Subquestion: What is the common denominator of 41/21511 and -81/1711222? Yields: 83849878 Subquestion: Calculate the lowest common multiple of 1840 and 1472.
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numbers: gcd ------------ Given: What is the greatest common divisor of 379632 and 35231? Steps: 719 Given: Calculate the greatest common divisor of 106 and 8798. Steps: 106 Given: Calculate the greatest common factor of 6 and 54. Steps: 6 Given: Calculate the highest common factor of 38 and 933900521. Steps: 19 Given: What is the highest common factor of 1144 and 208? Steps: 104 Given: What is the greatest common divisor of 42 and 64526? Steps: 14 Given: Calculate the highest common factor of 2021 and 47. Steps: 47 Given: What is the highest common factor of 72 and 588? Steps: 12 Given: Calculate the highest common divisor of 7215750 and 533250. Steps: 6750 Given: What is the highest common factor of 7410 and 1950? Steps: 390 Given: Calculate the greatest common divisor of 69 and 39. Steps: 3 Given: Calculate the greatest common divisor of 2834 and 763. Steps: 109 Given: What is the greatest common factor of 319583 and 187? Steps: 187 Given: What is the highest common factor of 6205 and 152065? Steps: 85 Given: What is the greatest common factor of 80 and 4212016? Steps: 16 Given: Calculate the highest common factor of 153952 and 22304. Steps: 544 Given: Calculate the highest common divisor of 678 and 6. Steps: 6 Given: What is the highest common factor of 4218 and 148? Steps: 74 Given: What is the greatest common factor of 18 and 423? Steps: 9 Given: What is the greatest common divisor of 3242439 and 18? Steps: 9 Given: Calculate the greatest common divisor of 63035 and 7910. Steps: 35 Given: What is the greatest common factor of 1641 and 5220021? Steps: 1641 Given: Calculate the greatest common factor of 262356 and 24. Steps: 12 Given: What is the highest common factor of 1645630 and 1078? Steps: 14 Given: What is the highest common factor of 777983 and 973? Steps: 139 Given: What is the highest common factor of 18632 and 6367792? Steps: 136 Given: Calculate the highest common factor of 759 and 4416. Steps: 69 Given: Calculate the greatest common divisor of 732 a
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measurement: conversion ----------------------- Ask: What is 3854.549 litres in millilitres? Thus: 3854549 Ask: Convert 165.3719 tonnes to nanograms. Thus: 165371900000000000 Ask: How many microseconds are there in 58.0185 hours? Thus: 208866600000 Ask: How many nanoseconds are there in twenty-nine fifths of a microsecond? Thus: 5800 Ask: What is 5830.955 nanograms in micrograms? Thus: 5.830955 Ask: How many seconds are there in 10/9 of a day? Thus: 96000 Ask: What is 18/5 of a hour in minutes? Thus: 216 Ask: What is 587431.9kg in nanograms? Thus: 587431900000000000 Ask: How many microseconds are there in 19/4 of a millisecond? Thus: 4750 Ask: What is twenty-one fifths of a litre in millilitres? Thus: 4200 Ask: How many years are there in one twentieth of a millennium? Thus: 50 Ask: What is one fifth of a minute in seconds? Thus: 12 Ask: What is 17/2 of a millimeter in micrometers? Thus: 8500 Ask: Convert 53.79489ms to nanoseconds. Thus: 53794890 Ask: What is 4/15 of a week in minutes? Thus: 2688 Ask: What is 4.701644 micrograms in nanograms? Thus: 4701.644 Ask: How many micrograms are there in 8/25 of a milligram? Thus: 320 Ask: How many millennia are there in 800.3961 centuries? Thus: 80.03961 Ask: What is one tenth of a kilogram in milligrams? Thus: 100000 Ask: What is seven halves of a meter in millimeters? Thus: 3500 Ask: What is 11/4 of a millimeter in micrometers? Thus: 2750 Ask: What is thirty-two fifths of a litre in millilitres? Thus: 6400 Ask: What is 73/5 of a litre in millilitres? Thus: 14600 Ask: Convert 818.6132 kilograms to milligrams. Thus: 818613200 Ask: How many months are there in nine sixteenths of a millennium? Thus: 6750 Ask: How many millilitres are there in 366.254 litres? Thus: 366254 Ask: How many milliseconds are there in 0.908269 weeks? Thus: 549321091.2 Ask: How many centimeters are there in three tenths of a kilometer? Thus: 30000 Ask: How many micrometers are there in three eighths of a centimeter? Thus: 3750 Ask: What is 7.447008s in
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